/****************************************************************************** * * * PRIME LOOK-UP TABLE * * 01/30/99 (dkc) * * * * This table includes a and b such that [(a**p+b**p)/(a+b)]=T**p for p=3 * * and a<2000000. The table was generated by "prop0a.c". This table also * * includes the 1228 primes less than 10,000. The least residue table is * * modulus p**2. * * * ******************************************************************************/ unsigned int error[1000*2]; unsigned terror[1000*2]; unsigned int tmpsav; unsigned int rflag; unsigned int tcount; unsigned int count; unsigned int ccount; unsigned int output[11000*7]; unsigned int compos[100]; unsigned int tmptab[200000]; short residue[2]={1,8}; unsigned int input[6818*3]={ 0x001E847F, 0x001DCBED, 0x00000002, 0x001E847F, 0x0000B892, 0x00000002, 0x001E847F, 0x00105EFA, 0x00000001, 0x001E847F, 0x000E2585, 0x00000001, 0x001E8411, 0x0011A485, 0x00000001, 0x001E8411, 0x000CDF8C, 0x00000001, 0x001E8141, 0x00105A21, 0x00000002, 0x001E8141, 0x000E2720, 0x00000002, 0x001E808D, 0x00134046, 0x00000002, 0x001E808D, 0x000B4047, 0x00000002, 0x001E7D78, 0x00109E43, 0x00000002, 0x001E7D78, 0x000DDF35, 0x00000002, 0x001E7D2F, 0x0019E038, 0x00000003, 0x001E7D2F, 0x00049CF7, 0x00000003, 0x001E7734, 0x00138A51, 0x00000001, 0x001E7734, 0x000AECE3, 0x00000001, 0x001E74BF, 0x00128C24, 0x00000001, 0x001E74BF, 0x000BE89B, 0x00000001, 0x001E71EF, 0x00166C1B, 0x00000002, 0x001E71EF, 0x000805D4, 0x00000002, 0x001E7192, 0x001798F7, 0x00000002, 0x001E7192, 0x0006D89B, 0x00000002, 0x001E7062, 0x001E2983, 0x00000003, 0x001E7062, 0x000046DF, 0x00000003, 0x001E6299, 0x00120C84, 0x00000001, 0x001E6299, 0x000C5615, 0x00000001, 0x001E61B1, 0x00135331, 0x00000003, 0x001E61B1, 0x000B0E80, 0x00000003, 0x001E618B, 0x001AE439, 0x00000001, 0x001E618B, 0x00037D52, 0x00000001, 0x001E5D1D, 0x0011B606, 0x00000002, 0x001E5D1D, 0x000CA717, 0x00000002, 0x001E57EC, 0x0019B98B, 0x00000002, 0x001E57EC, 0x00049E61, 0x00000002, 0x001E52C6, 0x001CC02B, 0x00000002, 0x001E52C6, 0x0001929B, 0x00000002, 0x001E51CC, 0x0017DFC5, 0x00000001, 0x001E51CC, 0x00067207, 0x00000001, 0x001E4E8F, 0x0015B0ED, 0x00000002, 0x001E4E8F, 0x00089DA2, 0x00000002, 0x001E4C19, 0x001B729A, 0x00000002, 0x001E4C19, 0x0002D97F, 0x00000002, 0x001E4656, 0x0014C42F, 0x00000001, 0x001E4656, 0x00098227, 0x00000001, 0x001E4538, 0x00134059, 0x00000002, 0x001E4538, 0x000B04DF, 0x00000002, 0x001E3B5D, 0x0010D6B8, 0x00000002, 0x001E3B5D, 0x000D64A5, 0x00000002, 0x001E2C77, 0x001C3988, 0x00000002, 0x001E2C77, 0x0001F2EF, 0x00000002, 0x001E2AEA, 0x001CCEA9, 0x00000002, 0x001E2AEA, 0x00015C41, 0x00000002, 0x001E2904, 0x00155E63, 0x00000002, 0x001E2904, 0x0008CAA1, 0x00000002, 0x001E2633, 0x001D2915, 0x00000002, 0x001E2633, 0x0000FD1E, 0x00000002, 0x001E2083, 0x001006F4, 0x00000003, 0x001E2083, 0x000E198F, 0x00000003, 0x001E1A88, 0x001AEA33, 0x00000001, 0x001E1A88, 0x00033055, 0x00000001, 0x001E1A53, 0x0011B187, 0x00000002, 0x001E1A53, 0x000C68CC, 0x00000002, 0x001E1781, 0x001BA951, 0x00000001, 0x001E1781, 0x00026E30, 0x00000001, 0x001E0F6D, 0x001028D7, 0x00000003, 0x001E0F6D, 0x000DE696, 0x00000003, 0x001E0E26, 0x000FB519, 0x00000001, 0x001E0E26, 0x000E590D, 0x00000001, 0x001E0CF6, 0x00105535, 0x00000003, 0x001E0CF6, 0x000DB7C1, 0x00000003, 0x001E0028, 0x00110A0B, 0x00000001, 0x001E0028, 0x000CF61D, 0x00000001, 0x001DFFD1, 0x00143B81, 0x00000001, 0x001DFFD1, 0x0009C450, 0x00000001, 0x001DFC6F, 0x001A29E7, 0x00000001, 0x001DFC6F, 0x0003D288, 0x00000001, 0x001DFB97, 0x000F2E18, 0x00000001, 0x001DFB97, 0x000ECD7F, 0x00000001, 0x001DF98E, 0x00119A0B, 0x00000002, 0x001DF98E, 0x000C5F83, 0x00000002, 0x001DE5BC, 0x001AE3E1, 0x00000002, 0x001DE5BC, 0x000301DB, 0x00000002, 0x001DE49A, 0x00168D37, 0x00000002, 0x001DE49A, 0x00075763, 0x00000002, 0x001DE42C, 0x001257AD, 0x00000003, 0x001DE42C, 0x000B8C7F, 0x00000003, 0x001DE0DF, 0x001D9F22, 0x00000001, 0x001DE0DF, 0x000041BD, 0x00000001, 0x001DDF0C, 0x001B7765, 0x00000002, 0x001DDF0C, 0x000267A7, 0x00000002, 0x001DDEE7, 0x001DC2A2, 0x00000001, 0x001DDEE7, 0x00001C45, 0x00000001, 0x001DDAE7, 0x00166872, 0x00000002, 0x001DDAE7, 0x00077275, 0x00000002, 0x001DDAB1, 0x00154122, 0x00000002, 0x001DDAB1, 0x0008998F, 0x00000002, 0x001DD881, 0x00168CA7, 0x00000002, 0x001DD881, 0x00074BDA, 0x00000002, 0x001DD6BF, 0x00150E6E, 0x00000002, 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0x00147E3A, 0x00000001, 0x001D75C9, 0x0008F78F, 0x00000001, 0x001D74BB, 0x0016C75E, 0x00000003, 0x001D74BB, 0x0006AD5D, 0x00000003, 0x001D729F, 0x0010D3D7, 0x00000001, 0x001D729F, 0x000C9EC8, 0x00000001, 0x001D71B6, 0x00153EBD, 0x00000002, 0x001D71B6, 0x000832F9, 0x00000002, 0x001D71A5, 0x0018168D, 0x00000002, 0x001D71A5, 0x00055B18, 0x00000002, 0x001D6CDC, 0x000F08E9, 0x00000002, 0x001D6CDC, 0x000E63F3, 0x00000002, 0x001D6B3D, 0x001027EA, 0x00000001, 0x001D6B3D, 0x000D4353, 0x00000001, 0x001D658C, 0x00184529, 0x00000002, 0x001D658C, 0x00052063, 0x00000002, 0x001D6546, 0x001C0549, 0x00000002, 0x001D6546, 0x00015FFD, 0x00000002, 0x001D633A, 0x00104DF5, 0x00000001, 0x001D633A, 0x000D1545, 0x00000001, 0x001D6315, 0x0015AFE1, 0x00000002, 0x001D6315, 0x0007B334, 0x00000002, 0x001D5E2A, 0x001C8B81, 0x00000001, 0x001D5E2A, 0x0000D2A9, 0x00000001, 0x001D5998, 0x0010EDFF, 0x00000002, 0x001D5998, 0x000C6B99, 0x00000002, 0x001D5997, 0x0017604B, 0x00000002, 0x001D5997, 0x0005F94C, 0x00000002, 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0x7ed8, 0x2, 0xf079, 0x71a1, 0x2, 0xecac, 0xcaed, 0x2, 0xecac, 0x21bf, 0x2, 0xebc0, 0xe0ed, 0x1, 0xebc0, 0xad3, 0x1, 0xeb0d, 0xa7d6, 0x1, 0xeb0d, 0x4337, 0x1, 0xe9ff, 0xc486, 0x1, 0xe9ff, 0x2579, 0x1, 0xe927, 0x8a60, 0x2, 0xe927, 0x5ec7, 0x2, 0xe915, 0xb23c, 0x1, 0xe915, 0x36d9, 0x1, 0xe8ce, 0x7c87, 0x2, 0xe8ce, 0x6c47, 0x2, 0xe7d3, 0xc5de, 0x1, 0xe7d3, 0x21f5, 0x1, 0xe755, 0x89d2, 0x1, 0xe755, 0x5d83, 0x1, 0xe743, 0xd5e5, 0x1, 0xe743, 0x115e, 0x1, 0xe5eb, 0xe04c, 0x2, 0xe5eb, 0x59f, 0x2, 0xe5eb, 0xc419, 0x1, 0xe5eb, 0x21d2, 0x1, 0xe5c8, 0x9b75, 0x2, 0xe5c8, 0x4a53, 0x2, 0xe473, 0xd86b, 0x2, 0xe473, 0xc08, 0x2, 0xe45f, 0x7817, 0x1, 0xe45f, 0x6c48, 0x1, 0xe45f, 0x7522, 0x2, 0xe45f, 0x6f3d, 0x2, 0xe2c2, 0xaa17, 0x1, 0xe2c2, 0x38ab, 0x1, 0xe0a7, 0xa0ab, 0x1, 0xe0a7, 0x3ffc, 0x1, 0xe006, 0xb34d, 0x2, 0xe006, 0x2cb9, 0x2, 0xdd20, 0x7ee9, 0x2, 0xdd20, 0x5e37, 0x2, 0xdcc7, 0x8f15, 0x2, 0xdcc7, 0x4db2, 0x2, 0xd9b0, 0xc593, 0x2, 0xd9b0, 0x141d, 0x2, 0xd8d6, 0x9d5b, 0x1, 0xd8d6, 0x3b7b, 0x1, 0xd849, 0x9e8e, 0x2, 0xd849, 0x39bb, 0x2, 0xd7c9, 0xc103, 0x2, 0xd7c9, 0x16c6, 0x2, 0xd716, 0x8a85, 0x1, 0xd716, 0x4c91, 0x1, 0xd6e1, 0x82c8, 0x1, 0xd6e1, 0x5419, 0x1, 0xd6cf, 0xb98e, 0x2, 0xd6cf, 0x1d41, 0x2, 0xd5c1, 0x9e90, 0x2, 0xd5c1, 0x3731, 0x2, 0xd3a4, 0xd261, 0x1, 0xd3a4, 0x143, 0x1, 0xd2a9, 0x6c49, 0x1, 0xd2a9, 0x6660, 0x1, 0xd2a7, 0xc364, 0x1, 0xd2a7, 0xf43, 0x1, 0xd271, 0xa3af, 0x2, 0xd271, 0x2ec2, 0x2, 0xd12e, 0xa65b, 0x2, 0xd12e, 0x2ad3, 0x2, 0xd042, 0xb957, 0x2, 0xd042, 0x16eb, 0x2, 0xcec9, 0xa734, 0x2, 0xcec9, 0x2795, 0x2, 0xcc77, 0x7158, 0x2, 0xcc77, 0x5b1f, 0x2, 0xcbb3, 0x8239, 0x1, 0xcbb3, 0x497a, 0x1, 0xcb8d, 0x7ac5, 0x1, 0xcb8d, 0x50c8, 0x1, 0xc9cc, 0x6c49, 0x2, 0xc9cc, 0x5d83, 0x2, 0xc80c, 0x7351, 0x2, 0xc80c, 0x54bb, 0x2, 0xc6ea, 0x8855, 0x2, 0xc6ea, 0x3e95, 0x2, 0xc56f, 0xb5d3, 0x2, 0xc56f, 0xf9c, 0x2, 0xc408, 0x958f, 0x2, 0xc408, 0x2e79, 0x2, 0xc3e6, 0x8fb9, 0x1, 0xc3e6, 0x342d, 0x1, 0xc2f9, 0x9dea, 0x2, 0xc2f9, 0x250f, 0x2, 0xc28f, 0x7a48, 0x1, 0xc28f, 0x4847, 0x1, 0xc211, 0x95d7, 0x2, 0xc211, 0x2c3a, 0x2, 0xc1a5, 0xb6e1, 0x1, 0xc1a5, 0xac4, 0x1, 0xc127, 0xaf28, 0x1, 0xc127, 0x11ff, 0x1, 0xbf2d, 0x85f1, 0x1, 0xbf2d, 0x393c, 0x1, 0xbe9f, 0x960b, 0x2, 0xbe9f, 0x2894, 0x2, 0xbdeb, 0x848a, 0x1, 0xbdeb, 0x3961, 0x1, 0xbb9a, 0xa9bd, 0x2, 0xbb9a, 0x11dd, 0x2, 0xbb62, 0xae4d, 0x1, 0xbb62, 0xd15, 0x1, 0xbb08, 0x6b93, 0x1, 0xbb08, 0x4f75, 0x1, 0xb9c5, 0xb59e, 0x1, 0xb9c5, 0x427, 0x1, 0xb827, 0x757d, 0x1, 0xb827, 0x42aa, 0x1, 0xb719, 0x6673, 0x2, 0xb719, 0x50a6, 0x2, 0xb662, 0x960b, 0x1, 0xb662, 0x2057, 0x1, 0xb5d5, 0xa711, 0x2, 0xb5d5, 0xec4, 0x2, 0xb59d, 0x8cc4, 0x1, 0xb59d, 0x28d9, 0x1, 0xb51f, 0x743a, 0x2, 0xb51f, 0x40e5, 0x2, 0xb35d, 0xa488, 0x1, 0xb35d, 0xed5, 0x1, 0xb22b, 0x826f, 0x1, 0xb22b, 0x2fbc, 0x1, 0xb219, 0x7b52, 0x2, 0xb219, 0x36c7, 0x2, 0xb1f5, 0x5b0e, 0x2, 0xb1f5, 0x56e7, 0x2, 0xae73, 0x5906, 0x2, 0xae73, 0x556d, 0x2, 0xadac, 0x5d85, 0x2, 0xadac, 0x5027, 0x2, 0xac31, 0x6acd, 0x2, 0xac31, 0x4164, 0x2, 0xaaee, 0x76d3, 0x2, 0xaaee, 0x341b, 0x2, 0xa988, 0x704b, 0x1, 0xa988, 0x393d, 0x1, 0xa830, 0x82b7, 0x1, 0xa830, 0x2579, 0x1, 0xa5df, 0x8acd, 0x2, 0xa5df, 0x1b12, 0x2, 0xa5a9, 0x8442, 0x2, 0xa5a9, 0x2167, 0x2, 0xa597, 0x6d44, 0x1, 0xa597, 0x3853, 0x1, 0xa3e5, 0x7c85, 0x1, 0xa3e5, 0x2760, 0x1, 0xa2eb, 0x55a4, 0x1, 0xa2eb, 0x4d47, 0x1, 0xa291, 0x98ff, 0x2, 0xa291, 0x992, 0x2, 0xa1fe, 0x5e49, 0x1, 0xa1fe, 0x43b5, 0x1, 0xa1b9, 0x6ba8, 0x2, 0xa1b9, 0x3611, 0x2, 0xa0f1, 0x8aca, 0x2, 0xa0f1, 0x1627, 0x2, 0xa03d, 0x5b9c, 0x1, 0xa03d, 0x44a1, 0x1, 0x9ff6, 0x98db, 0x1, 0x9ff6, 0x71b, 0x1, 0x9efa, 0x68d7, 0x1, 0x9efa, 0x3623, 0x1, 0x9ea1, 0x99c8, 0x1, 0x9ea1, 0x4d9, 0x1, 0x9e69, 0x7512, 0x2, 0x9e69, 0x2957, 0x2, 0x9e20, 0x76d3, 0x2, 0x9e20, 0x274d, 0x2, 0x99a3, 0x5ed9, 0x1, 0x99a3, 0x3aca, 0x1, 0x99a2, 0x7f55, 0x2, 0x99a2, 0x1a4d, 0x2, 0x998f, 0x5231, 0x1, 0x998f, 0x475e, 0x1, 0x9923, 0x8bfd, 0x1, 0x9923, 0xd26, 0x1, 0x986f, 0x8671, 0x1, 0x986f, 0x11fe, 0x1, 0x960d, 0x70ff, 0x1, 0x960d, 0x250e, 0x1, 0x9491, 0x6a75, 0x1, 0x9491, 0x2a1c, 0x1, 0x944a, 0x5029, 0x2, 0x944a, 0x4421, 0x2, 0x922f, 0x7a90, 0x1, 0x922f, 0x179f, 0x1, 0x91b0, 0x66dd, 0x1, 0x91b0, 0x2ad3, 0x1, 0x90ec, 0x54cd, 0x2, 0x90ec, 0x3c1f, 0x2, 0x8f3b, 0x5898, 0x1, 0x8f3b, 0x36a3, 0x1, 0x8f16, 0x717d, 0x1, 0x8f16, 0x1d99, 0x1, 0x8e2d, 0x8214, 0x1, 0x8e2d, 0xc19, 0x1, 0x8d9b, 0x4ed3, 0x1, 0x8d9b, 0x3ec8, 0x1, 0x8d32, 0x6b83, 0x1, 0x8d32, 0x21af, 0x1, 0x8bff, 0x7f9f, 0x2, 0x8bff, 0xc60, 0x2, 0x8add, 0x72e3, 0x2, 0x8add, 0x17fa, 0x2, 0x891b, 0x5ffa, 0x1, 0x891b, 0x2921, 0x1, 0x8867, 0x7404, 0x1, 0x8867, 0x1463, 0x1, 0x8844, 0x4f85, 0x2, 0x8844, 0x38bf, 0x2, 0x877c, 0x5b79, 0x2, 0x877c, 0x2c03, 0x2, 0x8759, 0x4b4e, 0x1, 0x8759, 0x3c0b, 0x1, 0x8748, 0x852b, 0x2, 0x8748, 0x21d, 0x2, 0x8701, 0x7e8f, 0x2, 0x8701, 0x872, 0x2, 0x8671, 0x5995, 0x2, // was switched 0x8671, 0x2cdc, 0x2, // was switched 0x85be, 0x800b, 0x2, 0x85be, 0x5b3, 0x2, 0x849d, 0x5df2, 0x1, 0x849d, 0x26ab, 0x1, 0x8455, 0x64c1, 0x2, 0x8455, 0x1f94, 0x2, 0x83c3, 0x5002, 0x1, 0x83c3, 0x33c1, 0x1, 0x8333, 0x4d0f, 0x2, 0x8333, 0x3624, 0x2, 0x82c7, 0x78dc, 0x2, 0x82c7, 0x9eb, 0x2, 0x7ea3, 0x4b3b, 0x1, 0x7ea3, 0x3368, 0x1, 0x7e24, 0x7789, 0x1, 0x7e24, 0x69b, 0x1, 0x7d82, 0x4423, 0x1, 0x7d82, 0x395f, 0x1, 0x7cbb, 0x5c1b, 0x1, 0x7cbb, 0x20a0, 0x1, 0x7c1b, 0x59a6, 0x2, 0x7c1b, 0x2275, 0x2, 0x7b0d, 0x6c48, 0x1, 0x7b0d, 0xec5, 0x1, 0x7ac5, 0x4662, 0x1, 0x7ac5, 0x3463, 0x1, 0x7a69, 0x5593, 0x2, 0x7a69, 0x24d6, 0x2, 0x771d, 0x447d, 0x2, 0x771d, 0x32a0, 0x2, 0x7621, 0x43ee, 0x1, 0x7621, 0x3233, 0x1, 0x75a1, 0x4d58, 0x2, 0x75a1, 0x2849, 0x2, 0x7403, 0x691d, 0x2, 0x7403, 0xae6, 0x2, 0x732b, 0x7134, 0x2, 0x732b, 0x1f7, 0x2, 0x730a, 0x652f, 0x2, 0x730a, 0xddb, 0x2, 0x7276, 0x43c7, 0x1, 0x7276, 0x2eaf, 0x1, 0x718e, 0x4d11, 0x2, 0x718e, 0x247d, 0x2, 0x7135, 0x52b1, 0x1, 0x7135, 0x1e84, 0x1, 0x6f04, 0x570b, 0x1, 0x6f04, 0x17f9, 0x1, 0x6ecf, 0x4793, 0x1, 0x6ecf, 0x273c, 0x1, 0x6ebf, 0x675b, 0x1, 0x6ebf, 0x764, 0x1, 0x6cc6, 0x5ec7, 0x1, 0x6cc6, 0xdff, 0x1, 0x6b05, 0x5126, 0x2, 0x6b05, 0x19df, 0x2, 0x6abb, 0x452e, 0x1, 0x6abb, 0x258d, 0x1, 0x699d, 0x58f2, 0x1, 0x699d, 0x10ab, 0x1, 0x6930, 0x3961, 0x2, 0x6930, 0x2fcf, 0x2, 0x691f, 0x5eed, 0x2, 0x691f, 0xa32, 0x2, 0x6845, 0x6820, 0x1, 0x6845, 0x25, 0x1, 0x6823, 0x367e, 0x1, 0x6823, 0x31a5, 0x1, 0x66f1, 0x3a6d, 0x2, 0x66f1, 0x2c84, 0x2, 0x66de, 0x4b4d, 0x1, 0x66de, 0x1b91, 0x1, 0x66dd, 0x5917, 0x2, 0x66dd, 0xdc6, 0x2, 0x64fa, 0x3c31, 0x2, 0x64fa, 0x28c9, 0x2, 0x648c, 0x539b, 0x1, 0x648c, 0x10f1, 0x1, 0x6479, 0x4da0, 0x2, 0x6479, 0x16d9, 0x2, 0x63e9, 0x3d08, 0x2, 0x63e9, 0x26e1, 0x2, 0x637d, 0x4393, 0x2, 0x637d, 0x1fea, 0x2, 0x61ac, 0x4dd7, 0x2, 0x61ac, 0x13d5, 0x2, 0x5fa0, 0x38cf, 0x1, 0x5fa0, 0x26d1, 0x1, 0x5df1, 0x4b97, 0x1, 0x5df1, 0x125a, 0x1, 0x5d85, 0x5b10, 0x1, 0x5d85, 0x275, 0x1, 0x5d71, 0x2f08, 0x1, 0x5d71, 0x2e69, 0x1, 0x5c51, 0x41cf, 0x2, 0x5c51, 0x1a82, 0x2, 0x59cb, 0x47ee, 0x2, 0x59cb, 0x11dd, 0x2, 0x5995, 0x532d, 0x1, 0x5995, 0x668, 0x1, 0x5995, 0x389a, 0x1, 0x5995, 0x20fb, 0x1, 0x5896, 0x5135, 0x1, 0x5896, 0x761, 0x1, 0x57d3, 0x56a0, 0x2, 0x57d3, 0x133, 0x2, 0x5743, 0x3f8f, 0x2, 0x5743, 0x17b4, 0x2, 0x5743, 0x2e7b, 0x2, 0x5743, 0x28c8, 0x2, 0x5730, 0x2fd1, 0x2, 0x5730, 0x275f, 0x2, 0x556d, 0x4c91, 0x1, 0x556d, 0x8dc, 0x1, 0x5502, 0x3f8f, 0x1, 0x5502, 0x1573, 0x1, 0x54ef, 0x3b20, 0x1, 0x54ef, 0x19cf, 0x1, 0x54bb, 0x4544, 0x2, 0x54bb, 0xf77, 0x2, 0x53f3, 0x4c4a, 0x1, 0x53f3, 0x7a9, 0x1, 0x53e1, 0x2ee6, 0x2, 0x53e1, 0x24fb, 0x2, 0x52e7, 0x3a4b, 0x1, 0x52e7, 0x189c, 0x1, 0x52d4, 0x46cf, 0x1, 0x52d4, 0xc05, 0x1, 0x5257, 0x2c39, 0x2, 0x5257, 0x261e, 0x2, 0x51a4, 0x39cd, 0x1, 0x51a4, 0x17d7, 0x1, 0x4db2, 0x36a3, 0x2, 0x4db2, 0x170f, 0x2, 0x4d44, 0x2ec1, 0x1, 0x4d44, 0x1e83, 0x1, 0x4c93, 0x4459, 0x2, 0x4c93, 0x83a, 0x2, 0x4ba7, 0x3bd5, 0x2, 0x4ba7, 0xfd2, 0x2, 0x4b85, 0x3918, 0x1, 0x4b85, 0x126d, 0x1, 0x4b07, 0x31a6, 0x1, 0x4b07, 0x1961, 0x1, 0x4a3e, 0x3d61, 0x2, 0x4a3e, 0xcdd, 0x2, 0x4a2d, 0x4432, 0x2, 0x4a2d, 0x5fb, 0x2, 0x497a, 0x4421, 0x1, 0x497a, 0x559, 0x1, 0x4813, 0x2af7, 0x2, 0x4813, 0x1d1c, 0x2, 0x475e, 0x2761, 0x1, 0x475e, 0x1ffd, 0x1, 0x474d, 0x41cf, 0x2, 0x474d, 0x57e, 0x2, 0x4697, 0x3d2c, 0x1, 0x4697, 0x96b, 0x1, 0x4577, 0x22ce, 0x1, 0x4577, 0x22a9, 0x1, 0x4554, 0x3515, 0x2, 0x4554, 0x103f, 0x2, 0x434a, 0x3b59, 0x1, 0x434a, 0x7f1, 0x1, 0x42f2, 0x28db, 0x1, 0x42f2, 0x1a17, 0x1, 0x4229, 0x31d8, 0x2, 0x4229, 0x1051, 0x2, 0x4205, 0x2cff, 0x1, 0x4205, 0x1506, 0x1, 0x4189, 0x3a4c, 0x1, 0x4189, 0x73d, 0x1, 0x4163, 0x3745, 0x1, 0x4163, 0xa1e, 0x1, 0x409f, 0x2069, 0x1, 0x409f, 0x2036, 0x1, 0x4010, 0x3613, 0x2, 0x4010, 0x9fd, 0x2, 0x3ffc, 0x26e1, 0x2, 0x3ffc, 0x191b, 0x2, 0x3eb9, 0x2c4c, 0x2, 0x3eb9, 0x126d, 0x2, 0x3e81, 0x2761, 0x2, 0x3e81, 0x1720, 0x2, 0x3e05, 0x381c, 0x1, 0x3e05, 0x5e9, 0x1, 0x3d87, 0x1ffe, 0x1, 0x3d87, 0x1d89, 0x1, 0x3d18, 0x2c93, 0x2, 0x3d18, 0x1085, 0x2, 0x3cbf, 0x35b7, 0x1, 0x3cbf, 0x708, 0x1, 0x3aa3, 0x3018, 0x1, 0x3aa3, 0xa8b, 0x1, 0x3a81, 0x272b, 0x2, 0x3a81, 0x1356, 0x2, 0x3996, 0x1fff, 0x1, 0x3996, 0x1997, 0x1, 0x395f, 0x2188, 0x1, 0x395f, 0x17d7, 0x1, 0x3899, 0x1ffd, 0x1, 0x3899, 0x189c, 0x1, 0x37b1, 0x330b, 0x1, 0x37b1, 0x4a6, 0x1, 0x37b0, 0x2bcd, 0x2, 0x37b0, 0xbe3, 0x2, 0x35ca, 0x3127, 0x2, 0x35ca, 0x4a3, 0x2, 0x35b9, 0x2f41, 0x2, 0x35b9, 0x678, 0x2, 0x35b9, 0x24c5, 0x1, 0x35b9, 0x10f4, 0x1, 0x3355, 0x2166, 0x2, 0x3355, 0x11ef, 0x2, 0x3246, 0x24fd, 0x2, 0x3246, 0xd49, 0x2, 0x3233, 0x2956, 0x1, 0x3233, 0x8dd, 0x1, 0x3139, 0x303e, 0x1, 0x3139, 0xfb, 0x1, 0x3124, 0x1e95, 0x1, 0x3124, 0x128f, 0x1, 0x3005, 0x24ea, 0x1, 0x3005, 0xb1b, 0x1, 0x3005, 0x1cc3, 0x1, 0x3005, 0x1342, 0x1, 0x2f75, 0x1ab8, 0x2, 0x2f75, 0x14bd, 0x2, 0x2ed3, 0x2e9e, 0x1, 0x2ed3, 0x35, 0x1, 0x2e8a, 0x2933, 0x1, 0x2e8a, 0x557, 0x1, 0x2e7b, 0x2329, 0x1, 0x2e7b, 0xb52, 0x1, 0x2db4, 0x1999, 0x2, 0x2db4, 0x141b, 0x2, 0x2d35, 0x1d09, 0x2, 0x2d35, 0x102c, 0x2, 0x2a8b, 0x26ab, 0x1, 0x2a8b, 0x3e0, 0x1, 0x2a30, 0x2827, 0x2, 0x2a30, 0x209, 0x2, 0x2990, 0x1a29, 0x1, 0x2990, 0xf67, 0x1, 0x298f, 0x2178, 0x1, 0x298f, 0x817, 0x1, 0x2957, 0x23ed, 0x1, 0x2957, 0x56a, 0x1, 0x2947, 0x1842, 0x1, 0x2947, 0x1105, 0x1, 0x2838, 0x192b, 0x1, 0x2838, 0xf0d, 0x1, 0x2761, 0x18af, 0x2, 0x2761, 0xeb2, 0x2, 0x271a, 0x2395, 0x1, 0x271a, 0x385, 0x1, 0x26ab, 0x1b7e, 0x2, 0x26ab, 0xb2d, 0x2, 0x2651, 0x1f4b, 0x2, 0x2651, 0x706, 0x2, 0x24fd, 0x15e0, 0x1, 0x24fd, 0xf1d, 0x1, 0x24d7, 0x219a, 0x2, 0x24d7, 0x33d, 0x2, 0x23ef, 0x1f03, 0x1, 0x23ef, 0x4ec, 0x1, 0x23ed, 0x142f, 0x1, 0x23ed, 0xfbe, 0x1, 0x2394, 0x141d, 0x1, 0x2394, 0xf77, 0x1, 0x2339, 0x19df, 0x2, 0x2339, 0x95a, 0x2, 0x21f6, 0x1c8b, 0x2, 0x21f6, 0x56b, 0x2, 0x207d, 0x10bc, 0x1, 0x207d, 0xfc1, 0x1, 0x2058, 0x2047, 0x1, 0x2058, 0x11, 0x1, 0x1fb5, 0x1648, 0x2, 0x1fb5, 0x96d, 0x2, 0x1fa5, 0x1c79, 0x1, 0x1fa5, 0x32c, 0x1, 0x1ee0, 0x1867, 0x2, 0x1ee0, 0x679, 0x2, 0x1e83, 0x13b0, 0x1, 0x1e83, 0xad3, 0x1, 0x1e4d, 0x1b12, 0x1, 0x1e4d, 0x33b, 0x1, 0x1e2a, 0x178f, 0x1, 0x1e2a, 0x69b, 0x1, 0x1e07, 0x12b3, 0x2, 0x1e07, 0xb54, 0x2, 0x1d3f, 0x114b, 0x1, 0x1d3f, 0xbf4, 0x1, 0x1cd2, 0x12a1, 0x1, 0x1cd2, 0xa31, 0x1, 0x1b12, 0xf79, 0x1, 0x1b12, 0xb99, 0x1, 0x1aa7, 0x1172, 0x1, 0x1aa7, 0x935, 0x1, 0x1aa4, 0x19df, 0x2, 0x1aa4, 0xc5, 0x2, 0x1a93, 0x1691, 0x1, 0x1a93, 0x402, 0x1, 0x1a03, 0xd6f, 0x1, 0x1a03, 0xc94, 0x1, 0x1998, 0x166d, 0x1, 0x1998, 0x32b, 0x1, 0x18e5, 0xe35, 0x1, 0x18e5, 0xab0, 0x1, 0x1790, 0xf79, 0x1, 0x1790, 0x817, 0x1, 0x177b, 0xd5c, 0x2, 0x177b, 0xa1f, 0x2, 0x1734, 0xf1d, 0x2, 0x1734, 0x817, 0x2, 0x16c9, 0x143f, 0x2, 0x16c9, 0x28a, 0x2, 0x1693, 0x12fd, 0x1, 0x1693, 0x396, 0x1, 0x15bb, 0x1586, 0x2, 0x15bb, 0x35, 0x2, 0x1474, 0x1115, 0x1, 0x1474, 0x35f, 0x1, 0x140a, 0xb9b, 0x1, 0x140a, 0x86f, 0x1, 0x13f7, 0xf79, 0x1, 0x13f7, 0x47e, 0x1, 0x139f, 0x115e, 0x1, 0x139f, 0x241, 0x1, 0x12b4, 0x1139, 0x1, 0x12b4, 0x17b, 0x1, 0x126d, 0xc73, 0x2, 0x126d, 0x5fa, 0x2, 0x125b, 0xd82, 0x1, 0x125b, 0x4d9, 0x1, 0x11ff, 0xdb6, 0x2, 0x11ff, 0x449, 0x2, 0x1181, 0x923, 0x2, 0x1181, 0x85e, 0x2, 0x103e, 0xdc9, 0x2, 0x103e, 0x275, 0x2, 0xfd1, 0xd01, 0x1, 0xfd1, 0x2d0, 0x1, 0xfc1, 0xdc7, 0x1, 0xfc1, 0x1fa, 0x1, 0xf0a, 0xa43, 0x1, 0xf0a, 0x4c7, 0x1, 0xec3, 0xd48, 0x1, 0xec3, 0x17b, 0x1, 0xeb3, 0xbf4, 0x1, 0xeb3, 0x2bf, 0x1, 0xe7d, 0x7a9, 0x1, 0xe7d, 0x6d4, 0x1, 0xe6b, 0x750, 0x2, 0xe6b, 0x71b, 0x2, 0xe58, 0x871, 0x2, 0xe58, 0x5e7, 0x2, 0xd26, 0xcdd, 0x1, 0xd26, 0x49, 0x1, 0xd03, 0xa8d, 0x1, 0xd03, 0x276, 0x1, 0xc83, 0x7f1, 0x1, 0xc83, 0x492, 0x1, 0xbe3, 0xa10, 0x1, 0xbe3, 0x1d3, 0x1, 0xbe1, 0x74e, 0x2, 0xbe1, 0x493, 0x2, 0xbd0, 0x827, 0x1, 0xbd0, 0x3a9, 0x1, 0xbae, 0x829, 0x2, 0xbae, 0x385, 0x2, 0xa9f, 0x7bc, 0x1, 0xa9f, 0x2e3, 0x1, 0xa57, 0x8db, 0x1, 0xa57, 0x17c, 0x1, 0x9d8, 0x5e9, 0x1, 0x9d8, 0x3ef, 0x1, 0x959, 0x56a, 0x1, 0x959, 0x3ef, 0x1, 0x8a5, 0x61f, 0x1, 0x8a5, 0x286, 0x1, 0x86f, 0x69b, 0x1, 0x86f, 0x1d4, 0x1, 0x762, 0x71b, 0x1, 0x762, 0x47, 0x1, 0x751, 0x492, 0x1, 0x751, 0x2bf, 0x1, 0x73d, 0x532, 0x1, 0x73d, 0x20b, 0x1, 0x71c, 0x709, 0x1, 0x71c, 0x13, 0x1, 0x69d, 0x511, 0x2, 0x69d, 0x18c, 0x2, 0x688, 0x4d9, 0x2, 0x688, 0x1af, 0x2, 0x666, 0x3f1, 0x1, 0x666, 0x275, 0x1, 0x665, 0x57c, 0x2, 0x665, 0xe9, 0x2, 0x655, 0x545, 0x2, 0x655, 0x110, 0x2, 0x56b, 0x374, 0x1, 0x56b, 0x1f7, 0x1, 0x4ec, 0x3b9, 0x1, 0x4ec, 0x133, 0x1, 0x4b7, 0x265, 0x1, 0x4b7, 0x252, 0x1, 0x4a6, 0x397, 0x1, 0x4a6, 0x10f, 0x1, 0x425, 0x318, 0x1, 0x425, 0x10d, 0x1, 0x3ef, 0x370, 0x1, 0x3ef, 0x7f, 0x1, 0x3de, 0x277, 0x2, 0x3de, 0x167, 0x2, 0x3cb, 0x2bd, 0x2, 0x3cb, 0x10e, 0x2, 0x385, 0x2cf, 0x1, 0x385, 0xb6, 0x1, 0x2f5, 0x276, 0x1, 0x2f5, 0x7f, 0x1, 0x2bf, 0x1e7, 0x1, 0x2bf, 0xd8, 0x1, 0x2ab, 0x18d, 0x1, 0x2ab, 0x11e, 0x1, 0x275, 0x17a, 0x1, 0x275, 0xfb, 0x1, 0x21c, 0x169, 0x1, 0x21c, 0xb3, 0x1, 0x208, 0x1c1, 0x1, 0x208, 0x47, 0x1, 0x1b1, 0x143, 0x1, 0x1b1, 0x6e, 0x1, 0x168, 0x143, 0x1, 0x168, 0x25, 0x1, 0x143, 0xc5, 0x1, 0x143, 0x7e, 0x1, 0x134, 0x121, 0x1, 0x134, 0x13, 0x1, 0xfc, 0xb5, 0x1, 0xfc, 0x47, 0x1, 0xc7, 0x6d, 0x1, 0xc7, 0x5a, 0x1, 0xa3, 0x6b, 0x1, 0xa3, 0x38, 0x1, 0x5a, 0x49, 0x1, 0x5a, 0x11, 0x1, 0x59, 0x46, 0x1, 0x59, 0x13, 0x1, 0x35, 0x24, 0x1, 0x35, 0x11, 0x1, 0x25, 0x14, 0x1, 0x25, 0x11, 0x1, 0x13, 0x12, 0x1, 0x13, 0x1, 0x1}; unsigned short table[1228]={ 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 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