#ifndef FASTFLOAT_FAST_TABLE_H #define FASTFLOAT_FAST_TABLE_H #include namespace fast_float { /** * When mapping numbers from decimal to binary, * we go from w * 10^q to m * 2^p but we have * 10^q = 5^q * 2^q, so effectively * we are trying to match * w * 2^q * 5^q to m * 2^p. Thus the powers of two * are not a concern since they can be represented * exactly using the binary notation, only the powers of five * affect the binary significand. */ /** * The smallest non-zero float (binary64) is 2^−1074. * We take as input numbers of the form w x 10^q where w < 2^64. * We have that w * 10^-343 < 2^(64-344) 5^-343 < 2^-1076. * However, we have that * (2^64-1) * 10^-342 = (2^64-1) * 2^-342 * 5^-342 > 2^−1074. * Thus it is possible for a number of the form w * 10^-342 where * w is a 64-bit value to be a non-zero floating-point number. ********* * Any number of form w * 10^309 where w>= 1 is going to be * infinite in binary64 so we never need to worry about powers * of 5 greater than 308. */ template struct powers_template { constexpr static int smallest_power_of_five = binary_format::smallest_power_of_ten(); constexpr static int largest_power_of_five = binary_format::largest_power_of_ten(); constexpr static int number_of_entries = 2 * (largest_power_of_five - smallest_power_of_five + 1); // Powers of five from 5^-342 all the way to 5^308 rounded toward one. static const uint64_t power_of_five_128[number_of_entries]; }; template const uint64_t powers_template::power_of_five_128[number_of_entries] = { 0xeef453d6923bd65a,0x113faa2906a13b3f, 0x9558b4661b6565f8,0x4ac7ca59a424c507, 0xbaaee17fa23ebf76,0x5d79bcf00d2df649, 0xe95a99df8ace6f53,0xf4d82c2c107973dc, 0x91d8a02bb6c10594,0x79071b9b8a4be869, 0xb64ec836a47146f9,0x9748e2826cdee284, 0xe3e27a444d8d98b7,0xfd1b1b2308169b25, 0x8e6d8c6ab0787f72,0xfe30f0f5e50e20f7, 0xb208ef855c969f4f,0xbdbd2d335e51a935, 0xde8b2b66b3bc4723,0xad2c788035e61382, 0x8b16fb203055ac76,0x4c3bcb5021afcc31, 0xaddcb9e83c6b1793,0xdf4abe242a1bbf3d, 0xd953e8624b85dd78,0xd71d6dad34a2af0d, 0x87d4713d6f33aa6b,0x8672648c40e5ad68, 0xa9c98d8ccb009506,0x680efdaf511f18c2, 0xd43bf0effdc0ba48,0x212bd1b2566def2, 0x84a57695fe98746d,0x14bb630f7604b57, 0xa5ced43b7e3e9188,0x419ea3bd35385e2d, 0xcf42894a5dce35ea,0x52064cac828675b9, 0x818995ce7aa0e1b2,0x7343efebd1940993, 0xa1ebfb4219491a1f,0x1014ebe6c5f90bf8, 0xca66fa129f9b60a6,0xd41a26e077774ef6, 0xfd00b897478238d0,0x8920b098955522b4, 0x9e20735e8cb16382,0x55b46e5f5d5535b0, 0xc5a890362fddbc62,0xeb2189f734aa831d, 0xf712b443bbd52b7b,0xa5e9ec7501d523e4, 0x9a6bb0aa55653b2d,0x47b233c92125366e, 0xc1069cd4eabe89f8,0x999ec0bb696e840a, 0xf148440a256e2c76,0xc00670ea43ca250d, 0x96cd2a865764dbca,0x380406926a5e5728, 0xbc807527ed3e12bc,0xc605083704f5ecf2, 0xeba09271e88d976b,0xf7864a44c633682e, 0x93445b8731587ea3,0x7ab3ee6afbe0211d, 0xb8157268fdae9e4c,0x5960ea05bad82964, 0xe61acf033d1a45df,0x6fb92487298e33bd, 0x8fd0c16206306bab,0xa5d3b6d479f8e056, 0xb3c4f1ba87bc8696,0x8f48a4899877186c, 0xe0b62e2929aba83c,0x331acdabfe94de87, 0x8c71dcd9ba0b4925,0x9ff0c08b7f1d0b14, 0xaf8e5410288e1b6f,0x7ecf0ae5ee44dd9, 0xdb71e91432b1a24a,0xc9e82cd9f69d6150, 0x892731ac9faf056e,0xbe311c083a225cd2, 0xab70fe17c79ac6ca,0x6dbd630a48aaf406, 0xd64d3d9db981787d,0x92cbbccdad5b108, 0x85f0468293f0eb4e,0x25bbf56008c58ea5, 0xa76c582338ed2621,0xaf2af2b80af6f24e, 0xd1476e2c07286faa,0x1af5af660db4aee1, 0x82cca4db847945ca,0x50d98d9fc890ed4d, 0xa37fce126597973c,0xe50ff107bab528a0, 0xcc5fc196fefd7d0c,0x1e53ed49a96272c8, 0xff77b1fcbebcdc4f,0x25e8e89c13bb0f7a, 0x9faacf3df73609b1,0x77b191618c54e9ac, 0xc795830d75038c1d,0xd59df5b9ef6a2417, 0xf97ae3d0d2446f25,0x4b0573286b44ad1d, 0x9becce62836ac577,0x4ee367f9430aec32, 0xc2e801fb244576d5,0x229c41f793cda73f, 0xf3a20279ed56d48a,0x6b43527578c1110f, 0x9845418c345644d6,0x830a13896b78aaa9, 0xbe5691ef416bd60c,0x23cc986bc656d553, 0xedec366b11c6cb8f,0x2cbfbe86b7ec8aa8, 0x94b3a202eb1c3f39,0x7bf7d71432f3d6a9, 0xb9e08a83a5e34f07,0xdaf5ccd93fb0cc53, 0xe858ad248f5c22c9,0xd1b3400f8f9cff68, 0x91376c36d99995be,0x23100809b9c21fa1, 0xb58547448ffffb2d,0xabd40a0c2832a78a, 0xe2e69915b3fff9f9,0x16c90c8f323f516c, 0x8dd01fad907ffc3b,0xae3da7d97f6792e3, 0xb1442798f49ffb4a,0x99cd11cfdf41779c, 0xdd95317f31c7fa1d,0x40405643d711d583, 0x8a7d3eef7f1cfc52,0x482835ea666b2572, 0xad1c8eab5ee43b66,0xda3243650005eecf, 0xd863b256369d4a40,0x90bed43e40076a82, 0x873e4f75e2224e68,0x5a7744a6e804a291, 0xa90de3535aaae202,0x711515d0a205cb36, 0xd3515c2831559a83,0xd5a5b44ca873e03, 0x8412d9991ed58091,0xe858790afe9486c2, 0xa5178fff668ae0b6,0x626e974dbe39a872, 0xce5d73ff402d98e3,0xfb0a3d212dc8128f, 0x80fa687f881c7f8e,0x7ce66634bc9d0b99, 0xa139029f6a239f72,0x1c1fffc1ebc44e80, 0xc987434744ac874e,0xa327ffb266b56220, 0xfbe9141915d7a922,0x4bf1ff9f0062baa8, 0x9d71ac8fada6c9b5,0x6f773fc3603db4a9, 0xc4ce17b399107c22,0xcb550fb4384d21d3, 0xf6019da07f549b2b,0x7e2a53a146606a48, 0x99c102844f94e0fb,0x2eda7444cbfc426d, 0xc0314325637a1939,0xfa911155fefb5308, 0xf03d93eebc589f88,0x793555ab7eba27ca, 0x96267c7535b763b5,0x4bc1558b2f3458de, 0xbbb01b9283253ca2,0x9eb1aaedfb016f16, 0xea9c227723ee8bcb,0x465e15a979c1cadc, 0x92a1958a7675175f,0xbfacd89ec191ec9, 0xb749faed14125d36,0xcef980ec671f667b, 0xe51c79a85916f484,0x82b7e12780e7401a, 0x8f31cc0937ae58d2,0xd1b2ecb8b0908810, 0xb2fe3f0b8599ef07,0x861fa7e6dcb4aa15, 0xdfbdcece67006ac9,0x67a791e093e1d49a, 0x8bd6a141006042bd,0xe0c8bb2c5c6d24e0, 0xaecc49914078536d,0x58fae9f773886e18, 0xda7f5bf590966848,0xaf39a475506a899e, 0x888f99797a5e012d,0x6d8406c952429603, 0xaab37fd7d8f58178,0xc8e5087ba6d33b83, 0xd5605fcdcf32e1d6,0xfb1e4a9a90880a64, 0x855c3be0a17fcd26,0x5cf2eea09a55067f, 0xa6b34ad8c9dfc06f,0xf42faa48c0ea481e, 0xd0601d8efc57b08b,0xf13b94daf124da26, 0x823c12795db6ce57,0x76c53d08d6b70858, 0xa2cb1717b52481ed,0x54768c4b0c64ca6e, 0xcb7ddcdda26da268,0xa9942f5dcf7dfd09, 0xfe5d54150b090b02,0xd3f93b35435d7c4c, 0x9efa548d26e5a6e1,0xc47bc5014a1a6daf, 0xc6b8e9b0709f109a,0x359ab6419ca1091b, 0xf867241c8cc6d4c0,0xc30163d203c94b62, 0x9b407691d7fc44f8,0x79e0de63425dcf1d, 0xc21094364dfb5636,0x985915fc12f542e4, 0xf294b943e17a2bc4,0x3e6f5b7b17b2939d, 0x979cf3ca6cec5b5a,0xa705992ceecf9c42, 0xbd8430bd08277231,0x50c6ff782a838353, 0xece53cec4a314ebd,0xa4f8bf5635246428, 0x940f4613ae5ed136,0x871b7795e136be99, 0xb913179899f68584,0x28e2557b59846e3f, 0xe757dd7ec07426e5,0x331aeada2fe589cf, 0x9096ea6f3848984f,0x3ff0d2c85def7621, 0xb4bca50b065abe63,0xfed077a756b53a9, 0xe1ebce4dc7f16dfb,0xd3e8495912c62894, 0x8d3360f09cf6e4bd,0x64712dd7abbbd95c, 0xb080392cc4349dec,0xbd8d794d96aacfb3, 0xdca04777f541c567,0xecf0d7a0fc5583a0, 0x89e42caaf9491b60,0xf41686c49db57244, 0xac5d37d5b79b6239,0x311c2875c522ced5, 0xd77485cb25823ac7,0x7d633293366b828b, 0x86a8d39ef77164bc,0xae5dff9c02033197, 0xa8530886b54dbdeb,0xd9f57f830283fdfc, 0xd267caa862a12d66,0xd072df63c324fd7b, 0x8380dea93da4bc60,0x4247cb9e59f71e6d, 0xa46116538d0deb78,0x52d9be85f074e608, 0xcd795be870516656,0x67902e276c921f8b, 0x806bd9714632dff6,0xba1cd8a3db53b6, 0xa086cfcd97bf97f3,0x80e8a40eccd228a4, 0xc8a883c0fdaf7df0,0x6122cd128006b2cd, 0xfad2a4b13d1b5d6c,0x796b805720085f81, 0x9cc3a6eec6311a63,0xcbe3303674053bb0, 0xc3f490aa77bd60fc,0xbedbfc4411068a9c, 0xf4f1b4d515acb93b,0xee92fb5515482d44, 0x991711052d8bf3c5,0x751bdd152d4d1c4a, 0xbf5cd54678eef0b6,0xd262d45a78a0635d, 0xef340a98172aace4,0x86fb897116c87c34, 0x9580869f0e7aac0e,0xd45d35e6ae3d4da0, 0xbae0a846d2195712,0x8974836059cca109, 0xe998d258869facd7,0x2bd1a438703fc94b, 0x91ff83775423cc06,0x7b6306a34627ddcf, 0xb67f6455292cbf08,0x1a3bc84c17b1d542, 0xe41f3d6a7377eeca,0x20caba5f1d9e4a93, 0x8e938662882af53e,0x547eb47b7282ee9c, 0xb23867fb2a35b28d,0xe99e619a4f23aa43, 0xdec681f9f4c31f31,0x6405fa00e2ec94d4, 0x8b3c113c38f9f37e,0xde83bc408dd3dd04, 0xae0b158b4738705e,0x9624ab50b148d445, 0xd98ddaee19068c76,0x3badd624dd9b0957, 0x87f8a8d4cfa417c9,0xe54ca5d70a80e5d6, 0xa9f6d30a038d1dbc,0x5e9fcf4ccd211f4c, 0xd47487cc8470652b,0x7647c3200069671f, 0x84c8d4dfd2c63f3b,0x29ecd9f40041e073, 0xa5fb0a17c777cf09,0xf468107100525890, 0xcf79cc9db955c2cc,0x7182148d4066eeb4, 0x81ac1fe293d599bf,0xc6f14cd848405530, 0xa21727db38cb002f,0xb8ada00e5a506a7c, 0xca9cf1d206fdc03b,0xa6d90811f0e4851c, 0xfd442e4688bd304a,0x908f4a166d1da663, 0x9e4a9cec15763e2e,0x9a598e4e043287fe, 0xc5dd44271ad3cdba,0x40eff1e1853f29fd, 0xf7549530e188c128,0xd12bee59e68ef47c, 0x9a94dd3e8cf578b9,0x82bb74f8301958ce, 0xc13a148e3032d6e7,0xe36a52363c1faf01, 0xf18899b1bc3f8ca1,0xdc44e6c3cb279ac1, 0x96f5600f15a7b7e5,0x29ab103a5ef8c0b9, 0xbcb2b812db11a5de,0x7415d448f6b6f0e7, 0xebdf661791d60f56,0x111b495b3464ad21, 0x936b9fcebb25c995,0xcab10dd900beec34, 0xb84687c269ef3bfb,0x3d5d514f40eea742, 0xe65829b3046b0afa,0xcb4a5a3112a5112, 0x8ff71a0fe2c2e6dc,0x47f0e785eaba72ab, 0xb3f4e093db73a093,0x59ed216765690f56, 0xe0f218b8d25088b8,0x306869c13ec3532c, 0x8c974f7383725573,0x1e414218c73a13fb, 0xafbd2350644eeacf,0xe5d1929ef90898fa, 0xdbac6c247d62a583,0xdf45f746b74abf39, 0x894bc396ce5da772,0x6b8bba8c328eb783, 0xab9eb47c81f5114f,0x66ea92f3f326564, 0xd686619ba27255a2,0xc80a537b0efefebd, 0x8613fd0145877585,0xbd06742ce95f5f36, 0xa798fc4196e952e7,0x2c48113823b73704, 0xd17f3b51fca3a7a0,0xf75a15862ca504c5, 0x82ef85133de648c4,0x9a984d73dbe722fb, 0xa3ab66580d5fdaf5,0xc13e60d0d2e0ebba, 0xcc963fee10b7d1b3,0x318df905079926a8, 0xffbbcfe994e5c61f,0xfdf17746497f7052, 0x9fd561f1fd0f9bd3,0xfeb6ea8bedefa633, 0xc7caba6e7c5382c8,0xfe64a52ee96b8fc0, 0xf9bd690a1b68637b,0x3dfdce7aa3c673b0, 0x9c1661a651213e2d,0x6bea10ca65c084e, 0xc31bfa0fe5698db8,0x486e494fcff30a62, 0xf3e2f893dec3f126,0x5a89dba3c3efccfa, 0x986ddb5c6b3a76b7,0xf89629465a75e01c, 0xbe89523386091465,0xf6bbb397f1135823, 0xee2ba6c0678b597f,0x746aa07ded582e2c, 0x94db483840b717ef,0xa8c2a44eb4571cdc, 0xba121a4650e4ddeb,0x92f34d62616ce413, 0xe896a0d7e51e1566,0x77b020baf9c81d17, 0x915e2486ef32cd60,0xace1474dc1d122e, 0xb5b5ada8aaff80b8,0xd819992132456ba, 0xe3231912d5bf60e6,0x10e1fff697ed6c69, 0x8df5efabc5979c8f,0xca8d3ffa1ef463c1, 0xb1736b96b6fd83b3,0xbd308ff8a6b17cb2, 0xddd0467c64bce4a0,0xac7cb3f6d05ddbde, 0x8aa22c0dbef60ee4,0x6bcdf07a423aa96b, 0xad4ab7112eb3929d,0x86c16c98d2c953c6, 0xd89d64d57a607744,0xe871c7bf077ba8b7, 0x87625f056c7c4a8b,0x11471cd764ad4972, 0xa93af6c6c79b5d2d,0xd598e40d3dd89bcf, 0xd389b47879823479,0x4aff1d108d4ec2c3, 0x843610cb4bf160cb,0xcedf722a585139ba, 0xa54394fe1eedb8fe,0xc2974eb4ee658828, 0xce947a3da6a9273e,0x733d226229feea32, 0x811ccc668829b887,0x806357d5a3f525f, 0xa163ff802a3426a8,0xca07c2dcb0cf26f7, 0xc9bcff6034c13052,0xfc89b393dd02f0b5, 0xfc2c3f3841f17c67,0xbbac2078d443ace2, 0x9d9ba7832936edc0,0xd54b944b84aa4c0d, 0xc5029163f384a931,0xa9e795e65d4df11, 0xf64335bcf065d37d,0x4d4617b5ff4a16d5, 0x99ea0196163fa42e,0x504bced1bf8e4e45, 0xc06481fb9bcf8d39,0xe45ec2862f71e1d6, 0xf07da27a82c37088,0x5d767327bb4e5a4c, 0x964e858c91ba2655,0x3a6a07f8d510f86f, 0xbbe226efb628afea,0x890489f70a55368b, 0xeadab0aba3b2dbe5,0x2b45ac74ccea842e, 0x92c8ae6b464fc96f,0x3b0b8bc90012929d, 0xb77ada0617e3bbcb,0x9ce6ebb40173744, 0xe55990879ddcaabd,0xcc420a6a101d0515, 0x8f57fa54c2a9eab6,0x9fa946824a12232d, 0xb32df8e9f3546564,0x47939822dc96abf9, 0xdff9772470297ebd,0x59787e2b93bc56f7, 0x8bfbea76c619ef36,0x57eb4edb3c55b65a, 0xaefae51477a06b03,0xede622920b6b23f1, 0xdab99e59958885c4,0xe95fab368e45eced, 0x88b402f7fd75539b,0x11dbcb0218ebb414, 0xaae103b5fcd2a881,0xd652bdc29f26a119, 0xd59944a37c0752a2,0x4be76d3346f0495f, 0x857fcae62d8493a5,0x6f70a4400c562ddb, 0xa6dfbd9fb8e5b88e,0xcb4ccd500f6bb952, 0xd097ad07a71f26b2,0x7e2000a41346a7a7, 0x825ecc24c873782f,0x8ed400668c0c28c8, 0xa2f67f2dfa90563b,0x728900802f0f32fa, 0xcbb41ef979346bca,0x4f2b40a03ad2ffb9, 0xfea126b7d78186bc,0xe2f610c84987bfa8, 0x9f24b832e6b0f436,0xdd9ca7d2df4d7c9, 0xc6ede63fa05d3143,0x91503d1c79720dbb, 0xf8a95fcf88747d94,0x75a44c6397ce912a, 0x9b69dbe1b548ce7c,0xc986afbe3ee11aba, 0xc24452da229b021b,0xfbe85badce996168, 0xf2d56790ab41c2a2,0xfae27299423fb9c3, 0x97c560ba6b0919a5,0xdccd879fc967d41a, 0xbdb6b8e905cb600f,0x5400e987bbc1c920, 0xed246723473e3813,0x290123e9aab23b68, 0x9436c0760c86e30b,0xf9a0b6720aaf6521, 0xb94470938fa89bce,0xf808e40e8d5b3e69, 0xe7958cb87392c2c2,0xb60b1d1230b20e04, 0x90bd77f3483bb9b9,0xb1c6f22b5e6f48c2, 0xb4ecd5f01a4aa828,0x1e38aeb6360b1af3, 0xe2280b6c20dd5232,0x25c6da63c38de1b0, 0x8d590723948a535f,0x579c487e5a38ad0e, 0xb0af48ec79ace837,0x2d835a9df0c6d851, 0xdcdb1b2798182244,0xf8e431456cf88e65, 0x8a08f0f8bf0f156b,0x1b8e9ecb641b58ff, 0xac8b2d36eed2dac5,0xe272467e3d222f3f, 0xd7adf884aa879177,0x5b0ed81dcc6abb0f, 0x86ccbb52ea94baea,0x98e947129fc2b4e9, 0xa87fea27a539e9a5,0x3f2398d747b36224, 0xd29fe4b18e88640e,0x8eec7f0d19a03aad, 0x83a3eeeef9153e89,0x1953cf68300424ac, 0xa48ceaaab75a8e2b,0x5fa8c3423c052dd7, 0xcdb02555653131b6,0x3792f412cb06794d, 0x808e17555f3ebf11,0xe2bbd88bbee40bd0, 0xa0b19d2ab70e6ed6,0x5b6aceaeae9d0ec4, 0xc8de047564d20a8b,0xf245825a5a445275, 0xfb158592be068d2e,0xeed6e2f0f0d56712, 0x9ced737bb6c4183d,0x55464dd69685606b, 0xc428d05aa4751e4c,0xaa97e14c3c26b886, 0xf53304714d9265df,0xd53dd99f4b3066a8, 0x993fe2c6d07b7fab,0xe546a8038efe4029, 0xbf8fdb78849a5f96,0xde98520472bdd033, 0xef73d256a5c0f77c,0x963e66858f6d4440, 0x95a8637627989aad,0xdde7001379a44aa8, 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0xb7dcbf5354e9bece,0xc11ed6d538aeb2f, 0xe5d3ef282a242e81,0x8f1668c8a86da5fa, 0x8fa475791a569d10,0xf96e017d694487bc, 0xb38d92d760ec4455,0x37c981dcc395a9ac, 0xe070f78d3927556a,0x85bbe253f47b1417, 0x8c469ab843b89562,0x93956d7478ccec8e, 0xaf58416654a6babb,0x387ac8d1970027b2, 0xdb2e51bfe9d0696a,0x6997b05fcc0319e, 0x88fcf317f22241e2,0x441fece3bdf81f03, 0xab3c2fddeeaad25a,0xd527e81cad7626c3, 0xd60b3bd56a5586f1,0x8a71e223d8d3b074, 0x85c7056562757456,0xf6872d5667844e49, 0xa738c6bebb12d16c,0xb428f8ac016561db, 0xd106f86e69d785c7,0xe13336d701beba52, 0x82a45b450226b39c,0xecc0024661173473, 0xa34d721642b06084,0x27f002d7f95d0190, 0xcc20ce9bd35c78a5,0x31ec038df7b441f4, 0xff290242c83396ce,0x7e67047175a15271, 0x9f79a169bd203e41,0xf0062c6e984d386, 0xc75809c42c684dd1,0x52c07b78a3e60868, 0xf92e0c3537826145,0xa7709a56ccdf8a82, 0x9bbcc7a142b17ccb,0x88a66076400bb691, 0xc2abf989935ddbfe,0x6acff893d00ea435, 0xf356f7ebf83552fe,0x583f6b8c4124d43, 0x98165af37b2153de,0xc3727a337a8b704a, 0xbe1bf1b059e9a8d6,0x744f18c0592e4c5c, 0xeda2ee1c7064130c,0x1162def06f79df73, 0x9485d4d1c63e8be7,0x8addcb5645ac2ba8, 0xb9a74a0637ce2ee1,0x6d953e2bd7173692, 0xe8111c87c5c1ba99,0xc8fa8db6ccdd0437, 0x910ab1d4db9914a0,0x1d9c9892400a22a2, 0xb54d5e4a127f59c8,0x2503beb6d00cab4b, 0xe2a0b5dc971f303a,0x2e44ae64840fd61d, 0x8da471a9de737e24,0x5ceaecfed289e5d2, 0xb10d8e1456105dad,0x7425a83e872c5f47, 0xdd50f1996b947518,0xd12f124e28f77719, 0x8a5296ffe33cc92f,0x82bd6b70d99aaa6f, 0xace73cbfdc0bfb7b,0x636cc64d1001550b, 0xd8210befd30efa5a,0x3c47f7e05401aa4e, 0x8714a775e3e95c78,0x65acfaec34810a71, 0xa8d9d1535ce3b396,0x7f1839a741a14d0d, 0xd31045a8341ca07c,0x1ede48111209a050, 0x83ea2b892091e44d,0x934aed0aab460432, 0xa4e4b66b68b65d60,0xf81da84d5617853f, 0xce1de40642e3f4b9,0x36251260ab9d668e, 0x80d2ae83e9ce78f3,0xc1d72b7c6b426019, 0xa1075a24e4421730,0xb24cf65b8612f81f, 0xc94930ae1d529cfc,0xdee033f26797b627, 0xfb9b7cd9a4a7443c,0x169840ef017da3b1, 0x9d412e0806e88aa5,0x8e1f289560ee864e, 0xc491798a08a2ad4e,0xf1a6f2bab92a27e2, 0xf5b5d7ec8acb58a2,0xae10af696774b1db, 0x9991a6f3d6bf1765,0xacca6da1e0a8ef29, 0xbff610b0cc6edd3f,0x17fd090a58d32af3, 0xeff394dcff8a948e,0xddfc4b4cef07f5b0, 0x95f83d0a1fb69cd9,0x4abdaf101564f98e, 0xbb764c4ca7a4440f,0x9d6d1ad41abe37f1, 0xea53df5fd18d5513,0x84c86189216dc5ed, 0x92746b9be2f8552c,0x32fd3cf5b4e49bb4, 0xb7118682dbb66a77,0x3fbc8c33221dc2a1, 0xe4d5e82392a40515,0xfabaf3feaa5334a, 0x8f05b1163ba6832d,0x29cb4d87f2a7400e, 0xb2c71d5bca9023f8,0x743e20e9ef511012, 0xdf78e4b2bd342cf6,0x914da9246b255416, 0x8bab8eefb6409c1a,0x1ad089b6c2f7548e, 0xae9672aba3d0c320,0xa184ac2473b529b1, 0xda3c0f568cc4f3e8,0xc9e5d72d90a2741e, 0x8865899617fb1871,0x7e2fa67c7a658892, 0xaa7eebfb9df9de8d,0xddbb901b98feeab7, 0xd51ea6fa85785631,0x552a74227f3ea565, 0x8533285c936b35de,0xd53a88958f87275f, 0xa67ff273b8460356,0x8a892abaf368f137, 0xd01fef10a657842c,0x2d2b7569b0432d85, 0x8213f56a67f6b29b,0x9c3b29620e29fc73, 0xa298f2c501f45f42,0x8349f3ba91b47b8f, 0xcb3f2f7642717713,0x241c70a936219a73, 0xfe0efb53d30dd4d7,0xed238cd383aa0110, 0x9ec95d1463e8a506,0xf4363804324a40aa, 0xc67bb4597ce2ce48,0xb143c6053edcd0d5, 0xf81aa16fdc1b81da,0xdd94b7868e94050a, 0x9b10a4e5e9913128,0xca7cf2b4191c8326, 0xc1d4ce1f63f57d72,0xfd1c2f611f63a3f0, 0xf24a01a73cf2dccf,0xbc633b39673c8cec, 0x976e41088617ca01,0xd5be0503e085d813, 0xbd49d14aa79dbc82,0x4b2d8644d8a74e18, 0xec9c459d51852ba2,0xddf8e7d60ed1219e, 0x93e1ab8252f33b45,0xcabb90e5c942b503, 0xb8da1662e7b00a17,0x3d6a751f3b936243, 0xe7109bfba19c0c9d,0xcc512670a783ad4, 0x906a617d450187e2,0x27fb2b80668b24c5, 0xb484f9dc9641e9da,0xb1f9f660802dedf6, 0xe1a63853bbd26451,0x5e7873f8a0396973, 0x8d07e33455637eb2,0xdb0b487b6423e1e8, 0xb049dc016abc5e5f,0x91ce1a9a3d2cda62, 0xdc5c5301c56b75f7,0x7641a140cc7810fb, 0x89b9b3e11b6329ba,0xa9e904c87fcb0a9d, 0xac2820d9623bf429,0x546345fa9fbdcd44, 0xd732290fbacaf133,0xa97c177947ad4095, 0x867f59a9d4bed6c0,0x49ed8eabcccc485d, 0xa81f301449ee8c70,0x5c68f256bfff5a74, 0xd226fc195c6a2f8c,0x73832eec6fff3111, 0x83585d8fd9c25db7,0xc831fd53c5ff7eab, 0xa42e74f3d032f525,0xba3e7ca8b77f5e55, 0xcd3a1230c43fb26f,0x28ce1bd2e55f35eb, 0x80444b5e7aa7cf85,0x7980d163cf5b81b3, 0xa0555e361951c366,0xd7e105bcc332621f, 0xc86ab5c39fa63440,0x8dd9472bf3fefaa7, 0xfa856334878fc150,0xb14f98f6f0feb951, 0x9c935e00d4b9d8d2,0x6ed1bf9a569f33d3, 0xc3b8358109e84f07,0xa862f80ec4700c8, 0xf4a642e14c6262c8,0xcd27bb612758c0fa, 0x98e7e9cccfbd7dbd,0x8038d51cb897789c, 0xbf21e44003acdd2c,0xe0470a63e6bd56c3, 0xeeea5d5004981478,0x1858ccfce06cac74, 0x95527a5202df0ccb,0xf37801e0c43ebc8, 0xbaa718e68396cffd,0xd30560258f54e6ba, 0xe950df20247c83fd,0x47c6b82ef32a2069, 0x91d28b7416cdd27e,0x4cdc331d57fa5441, 0xb6472e511c81471d,0xe0133fe4adf8e952, 0xe3d8f9e563a198e5,0x58180fddd97723a6, 0x8e679c2f5e44ff8f,0x570f09eaa7ea7648,}; using powers = powers_template<>; } #endif