easytpp/retweet · Datasets at Hugging Face

time_since_start sequencelengths 50 264	dim_process int64 3 3	time_since_last_event sequencelengths 50 264	seq_len int64 50 264	seq_idx int64 0 20k	type_event sequencelengths 50 264
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3

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93

8,500

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[ 0, 10, 30, 37, 41, 42, 97, 143, 177, 185, 186, 209, 406, 438, 561, 846, 879, 1217, 1254, 1383, 1643, 1885, 1941, 2020, 2256, 2404, 2406, 2916, 3530, 3755, 4153, 4368, 4438, 4585, 4722, 4753, 4945, 6028, 6036, 6080, 7395, 9912, 9961, 10135, 10617, 11526, 11798, 11947, 12234, 13036, 13246, 13886, 13908, 14840, 15104, 17436, 19937, 20031, 22730, 22805, 22951, 24543, 26662, 38551, 40536, 40812, 57702, 64468, 178157, 285931, 316840, 448017 ]

3

[ 0, 10, 20, 7, 4, 1, 55, 46, 34, 8, 1, 23, 197, 32, 123, 285, 33, 338, 37, 129, 260, 242, 56, 79, 236, 148, 2, 510, 614, 225, 398, 215, 70, 147, 137, 31, 192, 1083, 8, 44, 1315, 2517, 49, 174, 482, 909, 272, 149, 287, 802, 210, 640, 22, 932, 264, 2332, 2501, 94, 2699, 75, 146, 1592, 2119, 11889, 1985, 276, 16890, 6766, 113689, 107774, 30909, 131177 ]

72

8,501

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[ 0, 1, 6, 7, 13, 31, 33, 43, 44, 45, 57, 63, 68, 75, 79, 105, 123, 136, 139, 145, 155, 161, 179, 198, 212, 234, 301, 326, 339, 400, 410, 417, 490, 542, 611, 645, 695, 737, 753, 766, 821, 867, 883, 885, 891, 895, 901, 924, 954, 1069, 1085, 1309, 1342, 1343, 1500, 1549, 1576, 1644, 1727, 1775, 1817, 1934, 2001, 2201, 2366, 2379, 2386, 2516, 2628, 2709, 2772, 3028, 3122, 3145, 3237, 3412, 3945, 4223, 4515, 4871, 4872, 5049, 5265, 5663, 6246, 6275, 6786, 7214, 8887, 8946, 9290, 11708, 14425, 18481, 20885, 35198, 45371, 49000, 74816, 100386, 539916 ]

3

[ 0, 1, 5, 1, 6, 18, 2, 10, 1, 1, 12, 6, 5, 7, 4, 26, 18, 13, 3, 6, 10, 6, 18, 19, 14, 22, 67, 25, 13, 61, 10, 7, 73, 52, 69, 34, 50, 42, 16, 13, 55, 46, 16, 2, 6, 4, 6, 23, 30, 115, 16, 224, 33, 1, 157, 49, 27, 68, 83, 48, 42, 117, 67, 200, 165, 13, 7, 130, 112, 81, 63, 256, 94, 23, 92, 175, 533, 278, 292, 356, 1, 177, 216, 398, 583, 29, 511, 428, 1673, 59, 344, 2418, 2717, 4056, 2404, 14313, 10173, 3629, 25816, 25570, 439530 ]

101

8,502

[ 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0 ]

[ 0, 18, 67, 90, 103, 137, 157, 239, 253, 443, 512, 714, 774, 823, 828, 1032, 1116, 1154, 1269, 1282, 1282, 1312, 1325, 1405, 1881, 2141, 2158, 2255, 2381, 2585, 2851, 3003, 3211, 3259, 3271, 3728, 3903, 4138, 4300, 4321, 4430, 4873, 5119, 5182, 5856, 7521, 7951, 8121, 8125, 9791, 10256, 10802, 12054, 12533, 12861, 13673, 13897, 14886, 16695, 20454, 23458, 24231, 24642, 26099, 39669, 44221, 73959, 179863 ]

3

[ 0, 18, 49, 23, 13, 34, 20, 82, 14, 190, 69, 202, 60, 49, 5, 204, 84, 38, 115, 13, 0, 30, 13, 80, 476, 260, 17, 97, 126, 204, 266, 152, 208, 48, 12, 457, 175, 235, 162, 21, 109, 443, 246, 63, 674, 1665, 430, 170, 4, 1666, 465, 546, 1252, 479, 328, 812, 224, 989, 1809, 3759, 3004, 773, 411, 1457, 13570, 4552, 29738, 105904 ]

68

8,503

[ 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 4, 12, 15, 15, 19, 26, 28, 34, 38, 43, 46, 47, 49, 49, 50, 54, 56, 57, 57, 62, 66, 70, 73, 76, 77, 82, 83, 87, 87, 88, 94, 95, 97, 100, 100, 105, 108, 109, 116, 124, 130, 130, 130, 142, 153, 166, 171, 177, 179, 192, 195, 201, 202, 205, 206, 210, 212, 213, 217, 218, 225, 228, 231, 235, 243, 254, 268, 272, 277, 284, 305, 310, 314, 322, 343, 348, 355, 370, 399, 412, 422, 426, 432, 464, 485, 486, 491, 496, 503, 508, 515, 517, 518, 548, 578, 582, 586, 587, 621, 658, 668, 675, 691, 724, 731, 777, 811, 819, 820, 833, 866, 871, 872, 890, 891, 905, 906, 910, 957, 1008, 1043, 1045, 1058, 1103, 1171, 1182, 1243, 1257, 1327, 1352, 1435, 1462, 1463, 1466, 1486, 1515, 1557, 1565, 1731, 1761, 1900, 1906, 2001, 2015, 2054, 2066, 2198, 2398, 2527, 2636, 2747, 2804, 2989, 3112, 3138, 3229, 3357, 3381, 4034, 4129, 4677, 4691, 4934, 4994, 5437, 5471, 5807, 6257, 7189, 8333, 8774, 12343, 12425, 12481, 12831, 12868, 13425, 13596, 14114, 14245, 14245, 14770, 14944, 15224, 15802, 18304, 19099, 21533, 21746, 23845, 25460, 26434, 27498, 34624, 36084, 36475, 40434, 67658 ]

3

[ 0, 4, 8, 3, 0, 4, 7, 2, 6, 4, 5, 3, 1, 2, 0, 1, 4, 2, 1, 0, 5, 4, 4, 3, 3, 1, 5, 1, 4, 0, 1, 6, 1, 2, 3, 0, 5, 3, 1, 7, 8, 6, 0, 0, 12, 11, 13, 5, 6, 2, 13, 3, 6, 1, 3, 1, 4, 2, 1, 4, 1, 7, 3, 3, 4, 8, 11, 14, 4, 5, 7, 21, 5, 4, 8, 21, 5, 7, 15, 29, 13, 10, 4, 6, 32, 21, 1, 5, 5, 7, 5, 7, 2, 1, 30, 30, 4, 4, 1, 34, 37, 10, 7, 16, 33, 7, 46, 34, 8, 1, 13, 33, 5, 1, 18, 1, 14, 1, 4, 47, 51, 35, 2, 13, 45, 68, 11, 61, 14, 70, 25, 83, 27, 1, 3, 20, 29, 42, 8, 166, 30, 139, 6, 95, 14, 39, 12, 132, 200, 129, 109, 111, 57, 185, 123, 26, 91, 128, 24, 653, 95, 548, 14, 243, 60, 443, 34, 336, 450, 932, 1144, 441, 3569, 82, 56, 350, 37, 557, 171, 518, 131, 0, 525, 174, 280, 578, 2502, 795, 2434, 213, 2099, 1615, 974, 1064, 7126, 1460, 391, 3959, 27224 ]

199

8,504

[ 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1 ]

[ 0, 14, 86, 93, 94, 95, 101, 105, 110, 111, 126, 129, 136, 142, 150, 152, 154, 159, 160, 169, 169, 251, 265, 297, 305, 368, 379, 392, 416, 422, 428, 444, 477, 747, 758, 814, 819, 827, 906, 924, 1109, 1149, 1212, 1362, 1560, 1589, 1598, 1779, 1993, 2171, 2192, 2262, 2287, 2381, 2796, 2800, 2982, 4960, 5293, 5324, 6106, 6146, 6879, 7110, 8215, 9289, 10821, 15070, 17099, 18424, 23470, 25437, 33026, 34785, 37258, 40918, 42731, 75507, 137445, 201206, 202572, 454920, 458584 ]

3

[ 0, 14, 72, 7, 1, 1, 6, 4, 5, 1, 15, 3, 7, 6, 8, 2, 2, 5, 1, 9, 0, 82, 14, 32, 8, 63, 11, 13, 24, 6, 6, 16, 33, 270, 11, 56, 5, 8, 79, 18, 185, 40, 63, 150, 198, 29, 9, 181, 214, 178, 21, 70, 25, 94, 415, 4, 182, 1978, 333, 31, 782, 40, 733, 231, 1105, 1074, 1532, 4249, 2029, 1325, 5046, 1967, 7589, 1759, 2473, 3660, 1813, 32776, 61938, 63761, 1366, 252348, 3664 ]

83

8,505

[ 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0 ]

[ 0, 17, 31, 33, 44, 46, 50, 54, 55, 94, 100, 100, 101, 105, 110, 147, 158, 170, 202, 206, 226, 229, 230, 259, 265, 306, 308, 318, 326, 332, 354, 356, 368, 379, 411, 468, 474, 510, 612, 618, 653, 655, 676, 712, 713, 767, 813, 841, 870, 923, 971, 997, 1153, 1200, 1222, 1256, 1300, 1307, 1332, 1335, 1383, 1611, 1627, 1646, 1687, 1888, 2082, 2130, 2201, 2568, 3006, 3009, 3131, 3435, 3532, 3659, 3796, 4298, 4652, 4691, 4965, 5876, 6176, 6384, 7080, 7355, 7459, 7745, 10621, 11241, 11752, 11807, 11810, 13083, 14594, 14803, 16939, 18210, 19018, 19973, 23141, 23540, 24604, 27993, 28577, 28901, 30386, 31342, 32154, 32504, 34936, 38799, 38843, 38857, 38858, 38864, 38867, 38869, 38882, 38889, 38911, 38929, 38930, 38943, 38962, 39017, 39021, 39079, 39133, 39153, 39249, 39296, 39315, 39349, 39400, 39406, 39536, 39776, 41190, 41380, 42063, 42618, 42918, 45607, 47162, 68152, 69341, 70284, 71880, 94201, 105022, 105232, 106770, 108756, 109337, 113641, 114639, 124021, 135814, 135981, 161591, 172264, 182106, 210186, 210676, 226129, 288840, 349653, 362309, 461895, 462685, 463179, 463258, 560138 ]

3

[ 0, 17, 14, 2, 11, 2, 4, 4, 1, 39, 6, 0, 1, 4, 5, 37, 11, 12, 32, 4, 20, 3, 1, 29, 6, 41, 2, 10, 8, 6, 22, 2, 12, 11, 32, 57, 6, 36, 102, 6, 35, 2, 21, 36, 1, 54, 46, 28, 29, 53, 48, 26, 156, 47, 22, 34, 44, 7, 25, 3, 48, 228, 16, 19, 41, 201, 194, 48, 71, 367, 438, 3, 122, 304, 97, 127, 137, 502, 354, 39, 274, 911, 300, 208, 696, 275, 104, 286, 2876, 620, 511, 55, 3, 1273, 1511, 209, 2136, 1271, 808, 955, 3168, 399, 1064, 3389, 584, 324, 1485, 956, 812, 350, 2432, 3863, 44, 14, 1, 6, 3, 2, 13, 7, 22, 18, 1, 13, 19, 55, 4, 58, 54, 20, 96, 47, 19, 34, 51, 6, 130, 240, 1414, 190, 683, 555, 300, 2689, 1555, 20990, 1189, 943, 1596, 22321, 10821, 210, 1538, 1986, 581, 4304, 998, 9382, 11793, 167, 25610, 10673, 9842, 28080, 490, 15453, 62711, 60813, 12656, 99586, 790, 494, 79, 96880 ]

174

8,506

[ 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1 ]

[ 0, 11, 14, 22, 41, 49, 59, 81, 83, 105, 145, 150, 154, 185, 206, 231, 265, 288, 440, 475, 497, 537, 541, 566, 579, 621, 804, 860, 887, 1896, 1909, 2312, 2362, 2572, 2829, 3493, 5874, 10047, 10331, 12076, 12076, 15219, 20298, 20371, 22639, 24514, 24681, 25328, 25960, 32822, 43586, 47603, 52180, 52730, 52808, 66562, 85761, 89562, 103086, 110275, 165338, 165338, 175991, 284435 ]

3

[ 0, 11, 3, 8, 19, 8, 10, 22, 2, 22, 40, 5, 4, 31, 21, 25, 34, 23, 152, 35, 22, 40, 4, 25, 13, 42, 183, 56, 27, 1009, 13, 403, 50, 210, 257, 664, 2381, 4173, 284, 1745, 0, 3143, 5079, 73, 2268, 1875, 167, 647, 632, 6862, 10764, 4017, 4577, 550, 78, 13754, 19199, 3801, 13524, 7189, 55063, 0, 10653, 108444 ]

64

8,507

[ 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 25, 30, 61, 63, 64, 75, 102, 145, 223, 262, 306, 318, 329, 404, 494, 501, 505, 512, 549, 551, 569, 574, 610, 621, 656, 664, 719, 724, 725, 737, 745, 746, 798, 808, 854, 875, 936, 937, 957, 980, 995, 1006, 1024, 1025, 1041, 1075, 1092, 1136, 1184, 1189, 1222, 1265, 1280, 1311, 1319, 1392, 1397, 1428, 1461, 1469, 1558, 1697, 1747, 1923, 2011, 2055, 2073, 2889, 2953, 3077, 3194, 3251, 3496, 6164, 6289, 8147, 19954, 26542, 28801, 29052, 29300, 37640, 61495, 74893, 84424, 84455, 175999, 391796, 442635, 465886, 578537, 597477, 597624, 597688, 599555 ]

3

[ 0, 25, 5, 31, 2, 1, 11, 27, 43, 78, 39, 44, 12, 11, 75, 90, 7, 4, 7, 37, 2, 18, 5, 36, 11, 35, 8, 55, 5, 1, 12, 8, 1, 52, 10, 46, 21, 61, 1, 20, 23, 15, 11, 18, 1, 16, 34, 17, 44, 48, 5, 33, 43, 15, 31, 8, 73, 5, 31, 33, 8, 89, 139, 50, 176, 88, 44, 18, 816, 64, 124, 117, 57, 245, 2668, 125, 1858, 11807, 6588, 2259, 251, 248, 8340, 23855, 13398, 9531, 31, 91544, 215797, 50839, 23251, 112651, 18940, 147, 64, 1867 ]

96

8,508

[ 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1 ]

[ 0, 4, 10, 20, 32, 35, 36, 38, 38, 46, 73, 75, 76, 81, 84, 99, 113, 148, 151, 154, 166, 202, 204, 281, 322, 352, 418, 425, 437, 489, 516, 528, 544, 558, 580, 590, 659, 730, 738, 795, 846, 928, 967, 969, 1046, 1064, 1198, 1448, 1490, 1518, 2174, 2451, 2702, 2731, 2849, 3073, 3074, 3646, 3647, 3961, 4117, 4282, 4486, 4777, 4902, 4952, 4960, 5214, 5520, 9655, 9897, 9897, 10242, 10767, 11313, 13129, 14167, 15844, 20614, 21201, 24486, 26501, 32931, 32972, 33291, 43698, 51033, 51970, 53063, 59280, 70458, 97313, 97755, 422876 ]

3

[ 0, 4, 6, 10, 12, 3, 1, 2, 0, 8, 27, 2, 1, 5, 3, 15, 14, 35, 3, 3, 12, 36, 2, 77, 41, 30, 66, 7, 12, 52, 27, 12, 16, 14, 22, 10, 69, 71, 8, 57, 51, 82, 39, 2, 77, 18, 134, 250, 42, 28, 656, 277, 251, 29, 118, 224, 1, 572, 1, 314, 156, 165, 204, 291, 125, 50, 8, 254, 306, 4135, 242, 0, 345, 525, 546, 1816, 1038, 1677, 4770, 587, 3285, 2015, 6430, 41, 319, 10407, 7335, 937, 1093, 6217, 11178, 26855, 442, 325121 ]

94

8,509

[ 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 1, 12, 13, 21, 27, 28, 30, 40, 51, 55, 55, 55, 56, 66, 69, 71, 74, 78, 78, 82, 86, 91, 96, 97, 98, 107, 107, 120, 124, 131, 135, 136, 137, 140, 140, 141, 166, 185, 212, 215, 222, 223, 232, 252, 259, 262, 263, 287, 304, 304, 315, 335, 336, 371, 379, 402, 461, 464, 471, 482, 502, 513, 579, 635, 652, 657, 671, 678, 831, 832, 847, 899, 925, 974, 1151, 1240, 1293, 1308, 1387, 1572, 1703, 1709, 3208, 4682, 5123, 6893, 10142, 11192, 12410, 22954, 43575, 57170, 64412, 72432, 75445, 75728, 75824, 80634, 81777, 81833, 82044, 85743, 86101, 86178, 86536, 108432, 120781, 141871, 155880, 162998, 166145, 171287, 260099, 261907, 300158, 331913, 342805, 349004, 427933, 431573, 600395 ]

3

[ 0, 1, 11, 1, 8, 6, 1, 2, 10, 11, 4, 0, 0, 1, 10, 3, 2, 3, 4, 0, 4, 4, 5, 5, 1, 1, 9, 0, 13, 4, 7, 4, 1, 1, 3, 0, 1, 25, 19, 27, 3, 7, 1, 9, 20, 7, 3, 1, 24, 17, 0, 11, 20, 1, 35, 8, 23, 59, 3, 7, 11, 20, 11, 66, 56, 17, 5, 14, 7, 153, 1, 15, 52, 26, 49, 177, 89, 53, 15, 79, 185, 131, 6, 1499, 1474, 441, 1770, 3249, 1050, 1218, 10544, 20621, 13595, 7242, 8020, 3013, 283, 96, 4810, 1143, 56, 211, 3699, 358, 77, 358, 21896, 12349, 21090, 14009, 7118, 3147, 5142, 88812, 1808, 38251, 31755, 10892, 6199, 78929, 3640, 168822 ]

122

8,510

[ 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1 ]

[ 0, 22, 26, 34, 47, 50, 63, 86, 139, 141, 182, 231, 241, 251, 268, 285, 294, 420, 476, 500, 505, 513, 573, 599, 613, 717, 764, 785, 814, 844, 851, 928, 988, 995, 1179, 1189, 1196, 1304, 1310, 1439, 1459, 1600, 1634, 1800, 1866, 1878, 2000, 2124, 2266, 2563, 2954, 2959, 3131, 3179, 3232, 3449, 3606, 3885, 3895, 4989, 6031, 9041, 10139 ]

3

[ 0, 22, 4, 8, 13, 3, 13, 23, 53, 2, 41, 49, 10, 10, 17, 17, 9, 126, 56, 24, 5, 8, 60, 26, 14, 104, 47, 21, 29, 30, 7, 77, 60, 7, 184, 10, 7, 108, 6, 129, 20, 141, 34, 166, 66, 12, 122, 124, 142, 297, 391, 5, 172, 48, 53, 217, 157, 279, 10, 1094, 1042, 3010, 1098 ]

63

8,511

[ 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]

[ 0, 1, 2, 28, 29, 32, 32, 41, 42, 49, 79, 82, 83, 96, 99, 100, 119, 133, 135, 141, 143, 178, 186, 197, 200, 224, 353, 385, 389, 398, 620, 682, 724, 793, 1234, 1389, 1420, 1451, 1625, 1653, 1730, 1741, 1899, 2204, 2457, 2920, 3022, 3744, 4959, 6181, 14391, 23127, 53926, 450568, 450667, 450865, 451074, 452020 ]

3

[ 0, 1, 1, 26, 1, 3, 0, 9, 1, 7, 30, 3, 1, 13, 3, 1, 19, 14, 2, 6, 2, 35, 8, 11, 3, 24, 129, 32, 4, 9, 222, 62, 42, 69, 441, 155, 31, 31, 174, 28, 77, 11, 158, 305, 253, 463, 102, 722, 1215, 1222, 8210, 8736, 30799, 396642, 99, 198, 209, 946 ]

58

8,512

[ 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1 ]

[ 0, 7, 12, 18, 28, 39, 40, 43, 49, 54, 57, 62, 78, 92, 102, 105, 115, 116, 124, 137, 150, 152, 182, 182, 188, 193, 226, 230, 231, 244, 245, 251, 276, 280, 286, 314, 351, 389, 420, 461, 498, 539, 561, 590, 631, 680, 780, 850, 915, 940, 951, 952, 956, 1113, 1126, 1166, 1303, 1328, 1400, 1677, 1695, 1764, 2064, 2066, 2190, 2196, 2459, 2479, 3215, 3304, 3385, 3952, 4474, 4821, 4858, 5357, 5822, 6414, 7015, 7852, 8495, 9600, 13480, 15020, 15102, 25405, 25948, 50974, 99241, 106081, 163110, 491507, 491782 ]

3

[ 0, 7, 5, 6, 10, 11, 1, 3, 6, 5, 3, 5, 16, 14, 10, 3, 10, 1, 8, 13, 13, 2, 30, 0, 6, 5, 33, 4, 1, 13, 1, 6, 25, 4, 6, 28, 37, 38, 31, 41, 37, 41, 22, 29, 41, 49, 100, 70, 65, 25, 11, 1, 4, 157, 13, 40, 137, 25, 72, 277, 18, 69, 300, 2, 124, 6, 263, 20, 736, 89, 81, 567, 522, 347, 37, 499, 465, 592, 601, 837, 643, 1105, 3880, 1540, 82, 10303, 543, 25026, 48267, 6840, 57029, 328397, 275 ]

93

8,513

[ 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]

[ 0, 2, 3, 4, 5, 5, 7, 9, 9, 10, 10, 11, 11, 13, 14, 18, 22, 24, 26, 29, 30, 36, 38, 41, 51, 54, 56, 56, 60, 61, 62, 65, 66, 71, 74, 75, 84, 86, 92, 95, 96, 97, 100, 106, 107, 113, 117, 123, 129, 135, 137, 139, 144, 167, 167, 193, 236, 239, 253, 323, 324, 344, 419, 453, 471, 475, 543, 596, 646, 709, 798, 802, 869, 990, 990 ]

3

[ 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 4, 4, 2, 2, 3, 1, 6, 2, 3, 10, 3, 2, 0, 4, 1, 1, 3, 1, 5, 3, 1, 9, 2, 6, 3, 1, 1, 3, 6, 1, 6, 4, 6, 6, 6, 2, 2, 5, 23, 0, 26, 43, 3, 14, 70, 1, 20, 75, 34, 18, 4, 68, 53, 50, 63, 89, 4, 67, 121, 0 ]

75

8,514

[ 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0 ]

[ 0, 14, 19, 43, 116, 118, 264, 353, 502, 643, 704, 708, 718, 783, 848, 865, 875, 1444, 1538, 1538, 1549, 1668, 1694, 1707, 1817, 1876, 1879, 1935, 2120, 2127, 2502, 2506, 2526, 2577, 2884, 3126, 3173, 3252, 3268, 3290, 3319, 3481, 3943, 4018, 4744, 5238, 5596, 6006, 6035, 6703, 7335, 7837, 8530, 9124, 11159, 11243, 12720, 13544, 14297, 14612, 14962, 15957, 16057, 16262, 18994, 18994, 19757, 23847, 24191, 29074, 34597, 35032, 36238, 39319, 43783, 44505, 57059, 64455, 77141, 141364, 163192, 177861 ]

3

[ 0, 14, 5, 24, 73, 2, 146, 89, 149, 141, 61, 4, 10, 65, 65, 17, 10, 569, 94, 0, 11, 119, 26, 13, 110, 59, 3, 56, 185, 7, 375, 4, 20, 51, 307, 242, 47, 79, 16, 22, 29, 162, 462, 75, 726, 494, 358, 410, 29, 668, 632, 502, 693, 594, 2035, 84, 1477, 824, 753, 315, 350, 995, 100, 205, 2732, 0, 763, 4090, 344, 4883, 5523, 435, 1206, 3081, 4464, 722, 12554, 7396, 12686, 64223, 21828, 14669 ]

82

8,515

[ 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]

[ 0, 2, 15, 28, 34, 43, 47, 63, 74, 78, 85, 88, 92, 92, 113, 118, 120, 132, 134, 144, 164, 166, 170, 173, 184, 200, 206, 217, 221, 223, 261, 331, 368, 373, 402, 406, 466, 783, 912, 1333, 1403, 1645, 1749, 2560, 3177, 3816, 3897, 4193, 5209, 6590, 6674, 8924, 9279, 9328, 10963, 12543, 15432, 18993, 20720, 27267, 163536 ]

3

[ 0, 2, 13, 13, 6, 9, 4, 16, 11, 4, 7, 3, 4, 0, 21, 5, 2, 12, 2, 10, 20, 2, 4, 3, 11, 16, 6, 11, 4, 2, 38, 70, 37, 5, 29, 4, 60, 317, 129, 421, 70, 242, 104, 811, 617, 639, 81, 296, 1016, 1381, 84, 2250, 355, 49, 1635, 1580, 2889, 3561, 1727, 6547, 136269 ]

61

8,516

[ 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1 ]

[ 0, 2, 3, 9, 10, 14, 25, 28, 32, 34, 36, 41, 48, 48, 50, 50, 50, 52, 53, 56, 61, 64, 66, 66, 70, 71, 73, 75, 76, 76, 81, 85, 88, 93, 95, 99, 105, 108, 110, 112, 118, 118, 120, 124, 126, 130, 131, 133, 134, 134, 135, 150, 155, 159, 162, 176, 182, 183, 184, 191, 191, 196, 217, 219, 223, 231, 244, 249, 255, 264, 272, 276, 292, 299, 306, 307, 316, 326, 336, 338, 338, 339, 369, 370, 372, 396, 399, 405, 410, 414, 419, 437, 490, 497, 498, 505, 530, 532, 539, 548, 556, 564, 658, 668, 684, 721, 728, 731, 750, 765, 846, 911, 912, 913, 936, 992, 993, 1029, 1044, 1059, 1093, 1109, 1133, 1141, 1201, 1253, 1269, 1343, 1349, 1356, 1403, 1416, 1440, 1503, 1560, 1574, 1691, 1775, 1824, 2015, 2072, 2105, 2117, 2124, 2149, 2248, 2282, 2293, 2390, 2539, 2655, 3417, 3755, 3764, 3824, 3990, 5129, 5288, 5651, 6565, 6640, 7046, 7070, 7338, 9136, 9395, 14108, 17027, 23134, 23231 ]

3

[ 0, 2, 1, 6, 1, 4, 11, 3, 4, 2, 2, 5, 7, 0, 2, 0, 0, 2, 1, 3, 5, 3, 2, 0, 4, 1, 2, 2, 1, 0, 5, 4, 3, 5, 2, 4, 6, 3, 2, 2, 6, 0, 2, 4, 2, 4, 1, 2, 1, 0, 1, 15, 5, 4, 3, 14, 6, 1, 1, 7, 0, 5, 21, 2, 4, 8, 13, 5, 6, 9, 8, 4, 16, 7, 7, 1, 9, 10, 10, 2, 0, 1, 30, 1, 2, 24, 3, 6, 5, 4, 5, 18, 53, 7, 1, 7, 25, 2, 7, 9, 8, 8, 94, 10, 16, 37, 7, 3, 19, 15, 81, 65, 1, 1, 23, 56, 1, 36, 15, 15, 34, 16, 24, 8, 60, 52, 16, 74, 6, 7, 47, 13, 24, 63, 57, 14, 117, 84, 49, 191, 57, 33, 12, 7, 25, 99, 34, 11, 97, 149, 116, 762, 338, 9, 60, 166, 1139, 159, 363, 914, 75, 406, 24, 268, 1798, 259, 4713, 2919, 6107, 97 ]

170

8,517

[ 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1 ]

[ 0, 3, 6, 8, 11, 18, 37, 37, 46, 66, 76, 87, 93, 94, 172, 176, 185, 211, 245, 257, 285, 294, 353, 392, 494, 513, 583, 607, 1219, 1237, 1830, 1864, 2019, 2338, 3008, 3738, 3998, 4087, 4475, 4890, 5709, 5783, 6385, 8451, 8609, 12792, 12792, 12882, 13479, 13529, 16113, 19564, 20580, 38999, 40955, 42441, 45501, 58710, 59036, 85746, 99097, 99586, 101178, 101645, 108455, 112338, 136420 ]

3

[ 0, 3, 3, 2, 3, 7, 19, 0, 9, 20, 10, 11, 6, 1, 78, 4, 9, 26, 34, 12, 28, 9, 59, 39, 102, 19, 70, 24, 612, 18, 593, 34, 155, 319, 670, 730, 260, 89, 388, 415, 819, 74, 602, 2066, 158, 4183, 0, 90, 597, 50, 2584, 3451, 1016, 18419, 1956, 1486, 3060, 13209, 326, 26710, 13351, 489, 1592, 467, 6810, 3883, 24082 ]

67

8,518

[ 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2 ]

[ 0, 20, 38, 62, 90, 99, 105, 117, 123, 149, 192, 194, 272, 276, 306, 331, 333, 363, 365, 379, 401, 462, 590, 654, 675, 718, 859, 915, 978, 1020, 1078, 1181, 1201, 1508, 1550, 1560, 1595, 1684, 2132, 2289, 2306, 2425, 2760, 2830, 3277, 3571, 3748, 3969, 4163, 4325, 5163, 5170, 6500, 6612, 6984, 7038, 7429, 7433, 7436, 8483, 9485, 9622, 13730, 19730, 28453 ]

3

[ 0, 20, 18, 24, 28, 9, 6, 12, 6, 26, 43, 2, 78, 4, 30, 25, 2, 30, 2, 14, 22, 61, 128, 64, 21, 43, 141, 56, 63, 42, 58, 103, 20, 307, 42, 10, 35, 89, 448, 157, 17, 119, 335, 70, 447, 294, 177, 221, 194, 162, 838, 7, 1330, 112, 372, 54, 391, 4, 3, 1047, 1002, 137, 4108, 6000, 8723 ]

65

8,519

[ 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0 ]

[ 0, 12, 24, 45, 89, 95, 118, 122, 226, 308, 377, 558, 624, 673, 728, 735, 890, 891, 909, 1404, 1703, 1974, 2001, 2025, 2508, 2559, 2836, 2983, 3612, 4093, 4607, 5366, 5445, 5570, 8355, 9995, 11126, 11340, 11427, 13107, 15253, 20865, 21034, 22141, 23108, 26537, 26850, 27296, 33613, 36162, 71348, 77710 ]

3

[ 0, 12, 12, 21, 44, 6, 23, 4, 104, 82, 69, 181, 66, 49, 55, 7, 155, 1, 18, 495, 299, 271, 27, 24, 483, 51, 277, 147, 629, 481, 514, 759, 79, 125, 2785, 1640, 1131, 214, 87, 1680, 2146, 5612, 169, 1107, 967, 3429, 313, 446, 6317, 2549, 35186, 6362 ]

52

8,520

[ 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1 ]

[ 0, 0, 1, 1, 2, 4, 4, 5, 5, 8, 11, 12, 13, 14, 14, 17, 17, 19, 20, 21, 21, 22, 22, 23, 23, 23, 24, 25, 26, 31, 31, 31, 32, 33, 34, 34, 34, 36, 38, 38, 38, 38, 39, 39, 43, 43, 43, 43, 43, 44, 45, 46, 46, 47, 47, 48, 49, 50, 50, 52, 55, 58, 58, 58, 59, 61, 63, 64, 64, 64, 67, 68, 70, 72, 73, 73, 76, 76, 77, 78, 83, 84, 84, 87, 88, 89, 91, 91, 91, 95, 97, 98, 100, 102, 102, 103, 105, 107, 109, 109, 110, 111, 114, 114, 116, 118, 118, 118, 118, 122, 124, 125, 132, 133, 135, 139, 142, 143, 147, 147, 147, 149, 151, 151, 155, 157, 161, 162, 168, 175, 181, 182, 185, 187, 187, 188, 191, 194, 200, 214, 215, 220, 224, 225, 232, 233, 238, 250, 250, 267, 277, 284, 290, 304, 305, 311, 321, 324, 336, 340, 345, 346, 348, 349, 351, 362, 372, 373, 413, 415, 416, 432, 446, 450, 451, 468, 473, 485, 498, 530, 565, 633, 659, 670, 721, 837, 856, 859, 894, 943, 960, 1015, 1042, 1334, 1398, 1433, 1954, 2175, 2284, 2299, 2337, 2371, 2494, 2503, 2591, 2605, 2712, 2733, 3016, 3135, 4168, 5343, 6347, 8131, 8177, 8272, 8340, 8535, 9121, 10280, 10472, 10593, 10951, 12489, 19328, 33780, 36032, 43408, 43679, 45664, 47230, 52072, 52414, 52538, 53938, 59782, 64502, 66952, 80732, 81065, 85719, 86440, 86946, 87775, 88711, 90233, 93265, 125421, 142154, 147846, 169932, 171509, 179002, 207549, 223544, 235131, 275182, 415067, 415086 ]

3

[ 0, 0, 1, 0, 1, 2, 0, 1, 0, 3, 3, 1, 1, 1, 0, 3, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 5, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 4, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 3, 3, 0, 0, 1, 2, 2, 1, 0, 0, 3, 1, 2, 2, 1, 0, 3, 0, 1, 1, 5, 1, 0, 3, 1, 1, 2, 0, 0, 4, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 3, 0, 2, 2, 0, 0, 0, 4, 2, 1, 7, 1, 2, 4, 3, 1, 4, 0, 0, 2, 2, 0, 4, 2, 4, 1, 6, 7, 6, 1, 3, 2, 0, 1, 3, 3, 6, 14, 1, 5, 4, 1, 7, 1, 5, 12, 0, 17, 10, 7, 6, 14, 1, 6, 10, 3, 12, 4, 5, 1, 2, 1, 2, 11, 10, 1, 40, 2, 1, 16, 14, 4, 1, 17, 5, 12, 13, 32, 35, 68, 26, 11, 51, 116, 19, 3, 35, 49, 17, 55, 27, 292, 64, 35, 521, 221, 109, 15, 38, 34, 123, 9, 88, 14, 107, 21, 283, 119, 1033, 1175, 1004, 1784, 46, 95, 68, 195, 586, 1159, 192, 121, 358, 1538, 6839, 14452, 2252, 7376, 271, 1985, 1566, 4842, 342, 124, 1400, 5844, 4720, 2450, 13780, 333, 4654, 721, 506, 829, 936, 1522, 3032, 32156, 16733, 5692, 22086, 1577, 7493, 28547, 15995, 11587, 40051, 139885, 19 ]

259

8,521

[ 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2 ]

[ 0, 2, 2, 3, 3, 7, 10, 14, 18, 20, 23, 28, 29, 29, 31, 32, 34, 39, 41, 41, 47, 48, 54, 54, 59, 66, 72, 83, 108, 111, 115, 117, 118, 124, 127, 130, 132, 145, 155, 162, 194, 198, 231, 247, 301, 301, 317, 318, 346, 353, 354, 385, 387, 442, 493, 499, 573, 602, 603, 603, 665, 670, 701, 708, 767, 813, 860, 861, 893, 912, 929, 1003, 1010, 1046, 1095, 1160, 1196, 1275, 1420, 1509, 1529, 1531, 1749, 1787, 1933, 2029, 2070, 2081, 2190, 2542, 2772, 3054, 3087, 3157, 3205, 3436, 4240, 4574, 5034, 5506, 6161, 6306, 6335, 6900, 7473, 7557, 8029, 8654, 9174, 9645, 10691, 11036, 12125, 12273, 12447, 13397, 14467, 16127, 16854, 16862, 20512, 20707, 20816, 21237, 21877, 23702, 24331, 26051, 26258, 26268, 27549, 28009, 30040, 30483, 31411, 38712, 42207, 42386, 44197, 45396, 45807, 45807, 48281, 48457, 48861, 49452, 51384, 51443, 51487, 51898, 51948, 52006, 52137, 52446, 52470, 52755, 55159, 71687, 79782, 81451, 82905, 82997, 85902, 106246, 122940, 123497, 146859, 152023, 152254, 157751, 161864, 162774, 162962, 164017, 164160, 218733, 225246, 230813, 242636, 242945, 256059, 311174, 442998, 462313, 491245, 513524, 558157, 582364 ]

3

[ 0, 2, 0, 1, 0, 4, 3, 4, 4, 2, 3, 5, 1, 0, 2, 1, 2, 5, 2, 0, 6, 1, 6, 0, 5, 7, 6, 11, 25, 3, 4, 2, 1, 6, 3, 3, 2, 13, 10, 7, 32, 4, 33, 16, 54, 0, 16, 1, 28, 7, 1, 31, 2, 55, 51, 6, 74, 29, 1, 0, 62, 5, 31, 7, 59, 46, 47, 1, 32, 19, 17, 74, 7, 36, 49, 65, 36, 79, 145, 89, 20, 2, 218, 38, 146, 96, 41, 11, 109, 352, 230, 282, 33, 70, 48, 231, 804, 334, 460, 472, 655, 145, 29, 565, 573, 84, 472, 625, 520, 471, 1046, 345, 1089, 148, 174, 950, 1070, 1660, 727, 8, 3650, 195, 109, 421, 640, 1825, 629, 1720, 207, 10, 1281, 460, 2031, 443, 928, 7301, 3495, 179, 1811, 1199, 411, 0, 2474, 176, 404, 591, 1932, 59, 44, 411, 50, 58, 131, 309, 24, 285, 2404, 16528, 8095, 1669, 1454, 92, 2905, 20344, 16694, 557, 23362, 5164, 231, 5497, 4113, 910, 188, 1055, 143, 54573, 6513, 5567, 11823, 309, 13114, 55115, 131824, 19315, 28932, 22279, 44633, 24207 ]

188

8,522

[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0 ]

[ 0, 2, 3, 4, 9, 10, 14, 18, 26, 26, 29, 31, 36, 37, 37, 47, 48, 48, 51, 54, 56, 59, 60, 64, 71, 76, 78, 82, 87, 137, 141, 144, 150, 152, 154, 161, 169, 175, 195, 198, 212, 220, 224, 226, 239, 240, 245, 256, 256, 259, 284, 298, 326, 459, 497, 526, 660, 822, 837, 844, 857, 1089, 1191, 1231, 1273, 1312, 2091, 6051 ]

3

[ 0, 2, 1, 1, 5, 1, 4, 4, 8, 0, 3, 2, 5, 1, 0, 10, 1, 0, 3, 3, 2, 3, 1, 4, 7, 5, 2, 4, 5, 50, 4, 3, 6, 2, 2, 7, 8, 6, 20, 3, 14, 8, 4, 2, 13, 1, 5, 11, 0, 3, 25, 14, 28, 133, 38, 29, 134, 162, 15, 7, 13, 232, 102, 40, 42, 39, 779, 3960 ]

68

8,523

[ 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0 ]

[ 0, 3, 5, 11, 11, 13, 17, 24, 24, 27, 29, 38, 49, 51, 52, 60, 67, 71, 72, 76, 89, 94, 110, 146, 150, 152, 183, 187, 228, 245, 247, 250, 285, 293, 331, 412, 436, 446, 497, 570, 576, 623, 662, 715, 716, 727, 1027, 1044, 1444, 1585, 1698, 1782, 1871, 2646, 3042, 39097, 39138, 43213 ]

3

[ 0, 3, 2, 6, 0, 2, 4, 7, 0, 3, 2, 9, 11, 2, 1, 8, 7, 4, 1, 4, 13, 5, 16, 36, 4, 2, 31, 4, 41, 17, 2, 3, 35, 8, 38, 81, 24, 10, 51, 73, 6, 47, 39, 53, 1, 11, 300, 17, 400, 141, 113, 84, 89, 775, 396, 36055, 41, 4075 ]

58

8,524

[ 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1 ]

[ 0, 3, 4, 15, 33, 38, 49, 52, 54, 57, 60, 62, 63, 63, 74, 78, 80, 81, 81, 84, 91, 96, 101, 118, 121, 136, 141, 175, 175, 187, 189, 189, 191, 197, 208, 219, 225, 227, 251, 265, 286, 293, 305, 315, 318, 337, 377, 416, 460, 481, 490, 494, 587, 593, 598, 635, 657, 765, 774, 861, 872, 1011, 1181, 1189, 1198, 1214, 1254, 1264, 1322, 1326, 1464, 1533, 1950, 1955, 1962, 2361, 2449, 2520, 2907, 3060, 3117, 3269, 3287, 3475, 3643, 3707, 3870, 4015, 4509, 4584, 5143, 5687, 5866, 5905, 7651, 21874, 22074, 23869, 23883, 24003, 26763, 40774 ]

3

[ 0, 3, 1, 11, 18, 5, 11, 3, 2, 3, 3, 2, 1, 0, 11, 4, 2, 1, 0, 3, 7, 5, 5, 17, 3, 15, 5, 34, 0, 12, 2, 0, 2, 6, 11, 11, 6, 2, 24, 14, 21, 7, 12, 10, 3, 19, 40, 39, 44, 21, 9, 4, 93, 6, 5, 37, 22, 108, 9, 87, 11, 139, 170, 8, 9, 16, 40, 10, 58, 4, 138, 69, 417, 5, 7, 399, 88, 71, 387, 153, 57, 152, 18, 188, 168, 64, 163, 145, 494, 75, 559, 544, 179, 39, 1746, 14223, 200, 1795, 14, 120, 2760, 14011 ]

102

8,525

[ 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 17, 67, 70, 71, 87, 101, 105, 112, 121, 124, 129, 129, 129, 143, 145, 196, 198, 201, 202, 207, 207, 226, 226, 232, 242, 255, 264, 268, 292, 307, 339, 346, 385, 401, 407, 434, 505, 526, 528, 562, 606, 627, 658, 662, 664, 671, 676, 708, 730, 737, 741, 761, 775, 900, 905, 913, 952, 1029, 1042, 1053, 1088, 1103, 1156, 1190, 1207, 1231, 1257, 1274, 1284, 1345, 1395, 1484, 1541, 1542, 1592, 1622, 1650, 1661, 1662, 1668, 1691, 1708, 1794, 1822, 1901, 1959, 2060, 2075, 2097, 2131, 2193, 2317, 2395, 2430, 2509, 2527, 2541, 2649, 2804, 3102, 3217, 3239, 3276, 3314, 3415, 3474, 3489, 3501, 3565, 3640, 3679, 3737, 3782, 3860, 3965, 4278, 4590, 4650, 4822, 5116, 5187, 5206, 5255, 5521, 5535, 5648, 5735, 5749, 5756, 5783, 5843, 5921, 6098, 6429, 6560, 6777, 6829, 7464, 7839, 7967, 8014, 8296, 8864, 9181, 9268, 9838, 9963, 11482, 11911, 11923, 23611, 23902, 25587, 28349, 28769, 29308, 44279, 51665, 51725, 51767, 51783, 51791, 51822, 51859, 52094, 52349, 53261, 53908, 54425, 54683, 55072, 55645, 55827, 59852, 59923, 60431, 60578, 61801, 61860, 63365, 64463, 64946, 66032, 66497, 68310, 69135, 71801, 75389, 76242, 77273, 79314, 79470, 79477, 79574, 79696, 79756, 80495, 80982, 83380, 84591, 84949, 90261, 98039, 102761, 102761, 102794, 136364, 141979, 152148, 164618, 165829, 167193, 186101, 241564, 285559, 293126, 339677, 492894 ]

3

[ 0, 17, 50, 3, 1, 16, 14, 4, 7, 9, 3, 5, 0, 0, 14, 2, 51, 2, 3, 1, 5, 0, 19, 0, 6, 10, 13, 9, 4, 24, 15, 32, 7, 39, 16, 6, 27, 71, 21, 2, 34, 44, 21, 31, 4, 2, 7, 5, 32, 22, 7, 4, 20, 14, 125, 5, 8, 39, 77, 13, 11, 35, 15, 53, 34, 17, 24, 26, 17, 10, 61, 50, 89, 57, 1, 50, 30, 28, 11, 1, 6, 23, 17, 86, 28, 79, 58, 101, 15, 22, 34, 62, 124, 78, 35, 79, 18, 14, 108, 155, 298, 115, 22, 37, 38, 101, 59, 15, 12, 64, 75, 39, 58, 45, 78, 105, 313, 312, 60, 172, 294, 71, 19, 49, 266, 14, 113, 87, 14, 7, 27, 60, 78, 177, 331, 131, 217, 52, 635, 375, 128, 47, 282, 568, 317, 87, 570, 125, 1519, 429, 12, 11688, 291, 1685, 2762, 420, 539, 14971, 7386, 60, 42, 16, 8, 31, 37, 235, 255, 912, 647, 517, 258, 389, 573, 182, 4025, 71, 508, 147, 1223, 59, 1505, 1098, 483, 1086, 465, 1813, 825, 2666, 3588, 853, 1031, 2041, 156, 7, 97, 122, 60, 739, 487, 2398, 1211, 358, 5312, 7778, 4722, 0, 33, 33570, 5615, 10169, 12470, 1211, 1364, 18908, 55463, 43995, 7567, 46551, 153217 ]

219

8,526

[ 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 8, 9, 10, 12, 12, 13, 13, 16, 17, 19, 26, 27, 28, 28, 32, 33, 34, 36, 37, 37, 39, 41, 42, 43, 44, 46, 48, 54, 54, 55, 57, 57, 59, 59, 59, 60, 66, 66, 68, 69, 72, 79, 79, 80, 81, 82, 82, 83, 85, 86, 91, 99, 101, 103, 103, 107, 110, 110, 111, 113, 114, 115, 122, 123, 123, 128, 210, 227, 229, 231, 239, 245, 255, 259, 261, 263, 274, 284, 307, 312, 315, 322, 330, 358, 417, 436, 438, 440, 462, 491, 502, 507, 525, 532, 534, 535, 552, 561, 623, 630, 635, 687, 694, 704, 721, 723, 753, 755, 828, 835, 845, 892, 906, 916, 923, 936, 952, 954, 972, 1052, 1056, 1058, 1117, 1119, 1131, 1132, 1133, 1144, 1264, 1360, 1376, 1445, 1465, 1480, 1552, 1668, 1710, 1732, 2100, 2115, 2142, 2152, 2274, 2287, 2307, 2574, 2603, 2755, 2800, 2833, 2918, 2956, 3068, 3120, 3121, 3134, 3181, 3182, 3318, 3916, 4081, 4356, 4686, 5011, 5025, 5209, 5213, 5559, 6022, 6462, 6504, 6860, 6949, 7004, 8007, 8249, 8323, 8902, 9219, 9236, 9787, 10490, 11726, 18563, 20243, 24032, 35920, 51563, 71255, 81043, 84136, 164816, 215580, 227285, 279011, 426654 ]

3

[ 0, 8, 1, 1, 2, 0, 1, 0, 3, 1, 2, 7, 1, 1, 0, 4, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 6, 0, 1, 2, 0, 2, 0, 0, 1, 6, 0, 2, 1, 3, 7, 0, 1, 1, 1, 0, 1, 2, 1, 5, 8, 2, 2, 0, 4, 3, 0, 1, 2, 1, 1, 7, 1, 0, 5, 82, 17, 2, 2, 8, 6, 10, 4, 2, 2, 11, 10, 23, 5, 3, 7, 8, 28, 59, 19, 2, 2, 22, 29, 11, 5, 18, 7, 2, 1, 17, 9, 62, 7, 5, 52, 7, 10, 17, 2, 30, 2, 73, 7, 10, 47, 14, 10, 7, 13, 16, 2, 18, 80, 4, 2, 59, 2, 12, 1, 1, 11, 120, 96, 16, 69, 20, 15, 72, 116, 42, 22, 368, 15, 27, 10, 122, 13, 20, 267, 29, 152, 45, 33, 85, 38, 112, 52, 1, 13, 47, 1, 136, 598, 165, 275, 330, 325, 14, 184, 4, 346, 463, 440, 42, 356, 89, 55, 1003, 242, 74, 579, 317, 17, 551, 703, 1236, 6837, 1680, 3789, 11888, 15643, 19692, 9788, 3093, 80680, 50764, 11705, 51726, 147643 ]

197

8,527

[ 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]

[ 0, 2, 11, 11, 12, 17, 18, 19, 22, 23, 23, 23, 24, 24, 25, 26, 29, 32, 35, 36, 37, 38, 38, 38, 39, 39, 39, 40, 40, 40, 42, 44, 44, 45, 46, 47, 47, 49, 49, 50, 51, 53, 54, 55, 55, 56, 56, 57, 58, 60, 60, 62, 66, 67, 69, 69, 70, 70, 71, 73, 74, 75, 76, 76, 76, 76, 78, 78, 79, 80, 80, 81 ]

3

[ 0, 2, 9, 0, 1, 5, 1, 1, 3, 1, 0, 0, 1, 0, 1, 1, 3, 3, 3, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 4, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1 ]

72

8,528

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0 ]

[ 0, 23, 31, 44, 51, 70, 90, 94, 95, 98, 126, 165, 166, 167, 171, 226, 234, 270, 299, 326, 333, 341, 451, 470, 508, 540, 550, 566, 576, 579, 647, 793, 820, 861, 884, 929, 967, 988, 1044, 1079, 1086, 1106, 1108, 1170, 1171, 1194, 1282, 1400, 1404, 1437, 1448, 1473, 1481, 1502, 1522, 1580, 1768, 1800, 1940, 2008, 2027, 2075, 2082, 2083, 2172, 2220, 2365, 2389, 2433, 2441, 2480, 2491, 2562, 2635, 2710, 2758, 2766, 2798, 2842, 2969, 3082, 3193, 3208, 3339, 3442, 3447, 3452, 3781, 3904, 3958, 3969, 4034, 4067, 4146, 4340, 4771, 4833, 4965, 5107, 5183, 5602, 5618, 5713, 6160, 6852, 6915, 6979, 7036, 7136, 7310, 7923, 8852, 8918, 9017, 9449, 9656, 9816, 9816, 10530, 10886, 12084, 12355, 12374, 12846, 13282, 13871, 14709, 14802, 14826, 14904, 16331, 16576, 17052, 17335, 18181, 18459, 18516, 19639, 20033, 20383, 23900, 24019, 24203, 24669, 26205, 26254, 28080, 34327, 35515, 37103, 40839, 46832, 52921, 53037, 54414, 57721, 60391, 62232, 62248, 62558, 66904, 72099, 72356, 75008, 79433, 98889, 100239, 220393, 225717, 234222 ]

3

[ 0, 23, 8, 13, 7, 19, 20, 4, 1, 3, 28, 39, 1, 1, 4, 55, 8, 36, 29, 27, 7, 8, 110, 19, 38, 32, 10, 16, 10, 3, 68, 146, 27, 41, 23, 45, 38, 21, 56, 35, 7, 20, 2, 62, 1, 23, 88, 118, 4, 33, 11, 25, 8, 21, 20, 58, 188, 32, 140, 68, 19, 48, 7, 1, 89, 48, 145, 24, 44, 8, 39, 11, 71, 73, 75, 48, 8, 32, 44, 127, 113, 111, 15, 131, 103, 5, 5, 329, 123, 54, 11, 65, 33, 79, 194, 431, 62, 132, 142, 76, 419, 16, 95, 447, 692, 63, 64, 57, 100, 174, 613, 929, 66, 99, 432, 207, 160, 0, 714, 356, 1198, 271, 19, 472, 436, 589, 838, 93, 24, 78, 1427, 245, 476, 283, 846, 278, 57, 1123, 394, 350, 3517, 119, 184, 466, 1536, 49, 1826, 6247, 1188, 1588, 3736, 5993, 6089, 116, 1377, 3307, 2670, 1841, 16, 310, 4346, 5195, 257, 2652, 4425, 19456, 1350, 120154, 5324, 8505 ]

170

8,529

[ 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0 ]

[ 0, 10, 15, 18, 18, 19, 33, 34, 37, 43, 44, 53, 57, 62, 69, 87, 102, 109, 127, 179, 200, 210, 212, 223, 223, 230, 237, 237, 258, 292, 332, 332, 334, 339, 345, 353, 369, 392, 408, 476, 486, 489, 500, 543, 621, 780, 788, 805, 896, 1071, 1286, 1357, 1417, 1834, 1953, 14854 ]

3

[ 0, 10, 5, 3, 0, 1, 14, 1, 3, 6, 1, 9, 4, 5, 7, 18, 15, 7, 18, 52, 21, 10, 2, 11, 0, 7, 7, 0, 21, 34, 40, 0, 2, 5, 6, 8, 16, 23, 16, 68, 10, 3, 11, 43, 78, 159, 8, 17, 91, 175, 215, 71, 60, 417, 119, 12901 ]

56

8,530

[ 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]

[ 0, 179, 209, 219, 267, 285, 511, 738, 3766, 4552, 4852, 4879, 8757, 9049, 10670, 10698, 10809, 15560, 15586, 15863, 15917, 15942, 16279, 16745, 17288, 17437, 17620, 17651, 17889, 17920, 20164, 21019, 21031, 21051, 21059, 21088, 21610, 21677, 21737, 21772, 22479, 78924, 79097, 79270, 79318, 79348, 79368, 79604, 79777, 79790, 79798, 79812, 79825, 79836, 79841, 79868, 79896, 79926, 79950, 79972, 80007, 80018, 80049, 80163, 80305, 80403, 80448, 80495, 82922, 83289, 84908, 84929, 84950, 85005, 85455, 87067, 87112, 87148, 87206, 87236, 87386, 87713, 87893, 88072, 89010, 107445, 107474, 107480, 107496, 107497, 107563, 107582, 107605, 107605, 107615, 107722, 107847, 107859, 107965, 108087, 108129, 108259, 108369, 111064, 111073, 111102, 111118, 111128, 111155, 112010, 112129, 112189, 112637, 112798, 113513, 113596, 115156, 115705, 116978, 117203, 117208, 117238, 117242, 117261, 117286, 117291, 117294, 117334, 117369, 117437, 117616, 117878, 120805, 143673, 143744, 161058, 175224, 175260, 175278, 175378, 175489, 175549, 175556, 178362, 178587, 178890, 179161, 180215, 180257, 180326, 180401, 180484, 180526, 180538, 180673, 180755, 180791, 180791, 180810, 180825, 180827, 180843, 181015, 181982, 182372, 182889, 183015, 183026, 183493, 183624, 184182, 185187, 185311, 185510, 186801, 191904, 192713, 207713, 207769, 207857, 207954, 208462, 208521, 208542, 208588, 208600, 208600, 208636, 208642, 208650, 208666, 208673, 208728, 208762, 208765, 208786, 208786, 208814, 208836, 208872, 208879, 208879, 208915, 208929, 208939, 208963, 209219, 210020, 211022, 245581, 245679, 245851, 245958, 245971, 246118, 246136, 246210, 246245, 248174, 250438, 380720, 380863, 381054, 381242, 383573 ]

3

[ 0, 179, 30, 10, 48, 18, 226, 227, 3028, 786, 300, 27, 3878, 292, 1621, 28, 111, 4751, 26, 277, 54, 25, 337, 466, 543, 149, 183, 31, 238, 31, 2244, 855, 12, 20, 8, 29, 522, 67, 60, 35, 707, 56445, 173, 173, 48, 30, 20, 236, 173, 13, 8, 14, 13, 11, 5, 27, 28, 30, 24, 22, 35, 11, 31, 114, 142, 98, 45, 47, 2427, 367, 1619, 21, 21, 55, 450, 1612, 45, 36, 58, 30, 150, 327, 180, 179, 938, 18435, 29, 6, 16, 1, 66, 19, 23, 0, 10, 107, 125, 12, 106, 122, 42, 130, 110, 2695, 9, 29, 16, 10, 27, 855, 119, 60, 448, 161, 715, 83, 1560, 549, 1273, 225, 5, 30, 4, 19, 25, 5, 3, 40, 35, 68, 179, 262, 2927, 22868, 71, 17314, 14166, 36, 18, 100, 111, 60, 7, 2806, 225, 303, 271, 1054, 42, 69, 75, 83, 42, 12, 135, 82, 36, 0, 19, 15, 2, 16, 172, 967, 390, 517, 126, 11, 467, 131, 558, 1005, 124, 199, 1291, 5103, 809, 15000, 56, 88, 97, 508, 59, 21, 46, 12, 0, 36, 6, 8, 16, 7, 55, 34, 3, 21, 0, 28, 22, 36, 7, 0, 36, 14, 10, 24, 256, 801, 1002, 34559, 98, 172, 107, 13, 147, 18, 74, 35, 1929, 2264, 130282, 143, 191, 188, 2331 ]

225

8,531

[ 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1 ]

[ 0, 13, 15, 16, 17, 18, 21, 28, 37, 39, 40, 43, 48, 48, 50, 53, 54, 60, 64, 66, 79, 85, 86, 88, 90, 91, 96, 101, 107, 133, 147, 151, 163, 180, 242, 323, 326, 388, 408, 491, 571, 594, 617, 623, 630, 672, 729, 781, 810, 847, 1099, 1113, 1153, 1194, 1294, 1532, 1806, 1816, 1871, 1978, 2075, 2277, 2455, 2605, 2624, 2628, 2635, 2661, 2734, 2958, 3548, 3856, 4215, 4603, 4665, 4741, 4757, 5072, 5637, 5710, 6250, 8214, 9115, 9455, 9502, 9598, 9795, 11013, 11851, 13309, 13445, 14275, 14282, 14389, 16198, 16540, 16658, 22363, 23263, 23618, 24471, 24998, 25097, 25297, 26402, 32174, 48929, 56201, 71111, 73758, 76611, 93389, 99876 ]

3

[ 0, 13, 2, 1, 1, 1, 3, 7, 9, 2, 1, 3, 5, 0, 2, 3, 1, 6, 4, 2, 13, 6, 1, 2, 2, 1, 5, 5, 6, 26, 14, 4, 12, 17, 62, 81, 3, 62, 20, 83, 80, 23, 23, 6, 7, 42, 57, 52, 29, 37, 252, 14, 40, 41, 100, 238, 274, 10, 55, 107, 97, 202, 178, 150, 19, 4, 7, 26, 73, 224, 590, 308, 359, 388, 62, 76, 16, 315, 565, 73, 540, 1964, 901, 340, 47, 96, 197, 1218, 838, 1458, 136, 830, 7, 107, 1809, 342, 118, 5705, 900, 355, 853, 527, 99, 200, 1105, 5772, 16755, 7272, 14910, 2647, 2853, 16778, 6487 ]

113

8,532

[ 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1 ]

[ 0, 73, 82, 144, 247, 252, 265, 327, 371, 458, 490, 573, 677, 824, 837, 863, 927, 980, 1210, 1281, 1298, 1413, 1423, 1696, 1888, 1953, 2060, 2063, 2119, 2185, 2450, 2503, 2736, 2889, 3289, 3629, 5074, 5208, 5372, 5590, 5810, 6880, 7250, 8207, 17566, 19390, 38339, 39760, 39843, 40215, 91840, 106739 ]

3

[ 0, 73, 9, 62, 103, 5, 13, 62, 44, 87, 32, 83, 104, 147, 13, 26, 64, 53, 230, 71, 17, 115, 10, 273, 192, 65, 107, 3, 56, 66, 265, 53, 233, 153, 400, 340, 1445, 134, 164, 218, 220, 1070, 370, 957, 9359, 1824, 18949, 1421, 83, 372, 51625, 14899 ]

52

8,533

[ 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 11, 12, 14, 35, 41, 50, 59, 69, 77, 86, 96, 98, 114, 115, 172, 184, 187, 202, 260, 261, 273, 280, 294, 298, 298, 317, 328, 348, 381, 388, 390, 395, 418, 633, 643, 652, 698, 725, 752, 752, 859, 981, 1025, 1097, 1099, 1103, 1107, 1144, 1177, 1244, 1250, 1356, 1581, 1595, 1616, 1632, 1781, 1789, 1847, 1885, 1955, 2029, 2110, 2121, 2518, 2573, 2654, 2753, 3029, 3040, 3102, 3419, 3567, 3580, 3652, 3698, 3808, 3813, 4337, 4483, 5073, 5177, 5496, 5595, 6669, 6914, 7012, 7017, 7021, 7640, 7657, 7698, 8029, 8176, 8321, 8484, 9159, 10499, 10505, 11297, 12198, 12759, 12814, 14849, 15393, 15558, 15614, 17366, 17888, 18310, 18472, 21710, 22529, 25983, 26149, 32716, 34793, 35302, 35885, 37848, 38451, 39034, 41722, 42903, 43527, 57059, 63455, 82983, 96257, 106807, 108759, 111377, 114336, 132095, 135483, 166689, 262353, 416202 ]

3

[ 0, 11, 1, 2, 21, 6, 9, 9, 10, 8, 9, 10, 2, 16, 1, 57, 12, 3, 15, 58, 1, 12, 7, 14, 4, 0, 19, 11, 20, 33, 7, 2, 5, 23, 215, 10, 9, 46, 27, 27, 0, 107, 122, 44, 72, 2, 4, 4, 37, 33, 67, 6, 106, 225, 14, 21, 16, 149, 8, 58, 38, 70, 74, 81, 11, 397, 55, 81, 99, 276, 11, 62, 317, 148, 13, 72, 46, 110, 5, 524, 146, 590, 104, 319, 99, 1074, 245, 98, 5, 4, 619, 17, 41, 331, 147, 145, 163, 675, 1340, 6, 792, 901, 561, 55, 2035, 544, 165, 56, 1752, 522, 422, 162, 3238, 819, 3454, 166, 6567, 2077, 509, 583, 1963, 603, 583, 2688, 1181, 624, 13532, 6396, 19528, 13274, 10550, 1952, 2618, 2959, 17759, 3388, 31206, 95664, 153849 ]

139

8,534

[ 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1 ]

[ 0, 7, 16, 18, 20, 20, 22, 33, 33, 37, 39, 39, 43, 44, 44, 47, 47, 49, 50, 50, 56, 71, 73, 75, 80, 82, 84, 89, 98, 114, 114, 122, 157, 162, 248, 296, 314, 331, 336, 352, 401, 427, 458, 491, 737, 765, 774, 917, 1097, 1186, 3942, 4242, 5444, 6836, 8613 ]

3

[ 0, 7, 9, 2, 2, 0, 2, 11, 0, 4, 2, 0, 4, 1, 0, 3, 0, 2, 1, 0, 6, 15, 2, 2, 5, 2, 2, 5, 9, 16, 0, 8, 35, 5, 86, 48, 18, 17, 5, 16, 49, 26, 31, 33, 246, 28, 9, 143, 180, 89, 2756, 300, 1202, 1392, 1777 ]

55

8,535

[ 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2 ]

[ 0, 4, 4, 6, 9, 11, 12, 13, 15, 16, 17, 18, 20, 23, 24, 26, 32, 36, 40, 45, 47, 48, 48, 49, 49, 52, 53, 54, 56, 58, 69, 73, 82, 87, 96, 98, 107, 119, 120, 121, 123, 136, 137, 139, 152, 158, 158, 159, 160, 164, 164, 175, 175, 177, 178, 178, 181, 188, 192, 195, 196, 202, 267, 274, 275, 275, 277, 284, 290, 292, 300, 302, 314, 323, 335, 337, 341, 344, 348, 351, 354, 361, 370, 373, 377, 395, 396, 415, 415, 417, 419, 428, 456, 477, 498, 511, 620, 655, 660, 668, 694, 706, 735, 744, 820, 836, 862, 965, 985, 1006, 1107, 1181, 1213, 1346, 1387, 1417, 1440, 1501, 1559, 1670, 1782, 1894, 1895, 2107, 2856, 3499, 3537, 3777, 4881, 5674, 7370, 7482, 8514, 9033, 10082, 12901, 14709, 16646, 18111, 18565, 18604, 29250, 31311, 32245, 32284, 33256, 34094, 34887, 35525, 35546, 35647, 44891, 58883, 59582, 61129, 61301, 72335, 78815, 84186, 85247, 90643, 102603, 266119, 358671, 481323 ]

3

[ 0, 4, 0, 2, 3, 2, 1, 1, 2, 1, 1, 1, 2, 3, 1, 2, 6, 4, 4, 5, 2, 1, 0, 1, 0, 3, 1, 1, 2, 2, 11, 4, 9, 5, 9, 2, 9, 12, 1, 1, 2, 13, 1, 2, 13, 6, 0, 1, 1, 4, 0, 11, 0, 2, 1, 0, 3, 7, 4, 3, 1, 6, 65, 7, 1, 0, 2, 7, 6, 2, 8, 2, 12, 9, 12, 2, 4, 3, 4, 3, 3, 7, 9, 3, 4, 18, 1, 19, 0, 2, 2, 9, 28, 21, 21, 13, 109, 35, 5, 8, 26, 12, 29, 9, 76, 16, 26, 103, 20, 21, 101, 74, 32, 133, 41, 30, 23, 61, 58, 111, 112, 112, 1, 212, 749, 643, 38, 240, 1104, 793, 1696, 112, 1032, 519, 1049, 2819, 1808, 1937, 1465, 454, 39, 10646, 2061, 934, 39, 972, 838, 793, 638, 21, 101, 9244, 13992, 699, 1547, 172, 11034, 6480, 5371, 1061, 5396, 11960, 163516, 92552, 122652 ]

165

8,536

[ 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1 ]

[ 0, 11, 15, 19, 23, 24, 46, 65, 68, 91, 95, 95, 102, 103, 105, 106, 109, 133, 177, 194, 266, 284, 293, 317, 368, 403, 487, 673, 707, 907, 936, 1049, 1707, 1809, 1818, 2000, 2278, 4207, 4918, 10996, 13122, 13263, 38635, 52742, 66316, 68034, 69934, 74167, 77225, 84066, 86306, 86379, 146510, 160520, 161922, 312364 ]

3

[ 0, 11, 4, 4, 4, 1, 22, 19, 3, 23, 4, 0, 7, 1, 2, 1, 3, 24, 44, 17, 72, 18, 9, 24, 51, 35, 84, 186, 34, 200, 29, 113, 658, 102, 9, 182, 278, 1929, 711, 6078, 2126, 141, 25372, 14107, 13574, 1718, 1900, 4233, 3058, 6841, 2240, 73, 60131, 14010, 1402, 150442 ]

56

8,537

[ 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 4, 17, 17, 18, 21, 23, 23, 26, 32, 33, 35, 56, 56, 63, 66, 67, 67, 69, 75, 77, 77, 80, 87, 89, 93, 102, 103, 106, 106, 111, 117, 141, 161, 164, 166, 182, 188, 200, 216, 217, 247, 250, 256, 283, 299, 301, 353, 412, 419, 500, 551, 619, 667, 681, 766, 777, 785, 838, 854, 879, 888, 950, 955, 971, 993, 1051, 1097, 1113, 1151, 1259, 1290, 1303, 1426, 1467, 1486, 1554, 1559, 1562, 1596, 1616, 1726, 1806, 1829, 1862, 1870, 1871, 1924, 1924, 1977, 2021, 2058, 2088, 2517, 2572, 2786, 2827, 2830, 2830, 2904, 2915, 3024, 3696, 4644, 4853, 4911, 4979, 4992, 5067, 5078, 5301, 5378, 5381, 5561, 5708, 5911, 5934, 5958, 6009, 6096, 6128, 6136, 6243, 6833, 7001, 7024, 7829, 7975, 8244, 8620, 8805, 9647, 9750, 10004, 10220, 10465, 10872, 11101, 14579, 15697, 15867, 16776, 17152, 17208, 18344, 18376, 18452, 19608, 20324, 20834, 21202, 21288, 21784, 21958, 22119, 22611, 22950, 22974, 22995, 23110, 26110, 27905, 29996, 32457, 34478, 35265, 36160, 39588, 40196, 40869, 41250, 41890, 42522, 43508, 45115, 45502, 51748, 57698, 60212, 60498, 60827, 63351, 64192, 65690, 74453, 78465, 86744, 87068, 87988, 105481, 116409, 123382, 123969, 183025, 204348, 206038, 236946, 244280, 396673 ]

3

[ 0, 4, 13, 0, 1, 3, 2, 0, 3, 6, 1, 2, 21, 0, 7, 3, 1, 0, 2, 6, 2, 0, 3, 7, 2, 4, 9, 1, 3, 0, 5, 6, 24, 20, 3, 2, 16, 6, 12, 16, 1, 30, 3, 6, 27, 16, 2, 52, 59, 7, 81, 51, 68, 48, 14, 85, 11, 8, 53, 16, 25, 9, 62, 5, 16, 22, 58, 46, 16, 38, 108, 31, 13, 123, 41, 19, 68, 5, 3, 34, 20, 110, 80, 23, 33, 8, 1, 53, 0, 53, 44, 37, 30, 429, 55, 214, 41, 3, 0, 74, 11, 109, 672, 948, 209, 58, 68, 13, 75, 11, 223, 77, 3, 180, 147, 203, 23, 24, 51, 87, 32, 8, 107, 590, 168, 23, 805, 146, 269, 376, 185, 842, 103, 254, 216, 245, 407, 229, 3478, 1118, 170, 909, 376, 56, 1136, 32, 76, 1156, 716, 510, 368, 86, 496, 174, 161, 492, 339, 24, 21, 115, 3000, 1795, 2091, 2461, 2021, 787, 895, 3428, 608, 673, 381, 640, 632, 986, 1607, 387, 6246, 5950, 2514, 286, 329, 2524, 841, 1498, 8763, 4012, 8279, 324, 920, 17493, 10928, 6973, 587, 59056, 21323, 1690, 30908, 7334, 152393 ]

199

8,538

[ 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0 ]

[ 0, 8, 17, 18, 32, 555, 728, 729, 766, 883, 900, 904, 935, 951, 951, 987, 1101, 1163, 1221, 1352, 1367, 1382, 1392, 1407, 1408, 1408, 1421, 1466, 1475, 1476, 1491, 1773, 1894, 1927, 2064, 2087, 2149, 2156, 2269, 2362, 2480, 2613, 3557, 4342, 4574, 6030, 6218, 13114, 16377, 16727, 17831, 22848, 23019, 24146, 24239, 24696, 25001, 25315, 26900, 26913, 26936, 27146, 27221, 27221, 27267, 27267, 27368, 27640, 27897, 27952, 28558, 28667, 28796, 29021, 29086, 29371, 29401, 29571, 30154, 30309, 34014, 35741, 40083, 41435, 57970, 60141, 62570, 62596, 62604, 62620, 62623, 62649, 62665, 62668, 62683, 62690, 62697, 62700, 62702, 62703, 62704, 62704, 62732, 62748, 62780, 62794, 62801, 62804, 62814, 62847, 62867, 63001, 63036, 63062, 63082, 63120, 63165, 63168, 63380, 63577, 63654, 63702, 63899, 64077, 64503, 64885, 65510, 65525, 66377, 80076, 204129, 206489, 242306, 347146 ]

3

[ 0, 8, 9, 1, 14, 523, 173, 1, 37, 117, 17, 4, 31, 16, 0, 36, 114, 62, 58, 131, 15, 15, 10, 15, 1, 0, 13, 45, 9, 1, 15, 282, 121, 33, 137, 23, 62, 7, 113, 93, 118, 133, 944, 785, 232, 1456, 188, 6896, 3263, 350, 1104, 5017, 171, 1127, 93, 457, 305, 314, 1585, 13, 23, 210, 75, 0, 46, 0, 101, 272, 257, 55, 606, 109, 129, 225, 65, 285, 30, 170, 583, 155, 3705, 1727, 4342, 1352, 16535, 2171, 2429, 26, 8, 16, 3, 26, 16, 3, 15, 7, 7, 3, 2, 1, 1, 0, 28, 16, 32, 14, 7, 3, 10, 33, 20, 134, 35, 26, 20, 38, 45, 3, 212, 197, 77, 48, 197, 178, 426, 382, 625, 15, 852, 13699, 124053, 2360, 35817, 104840 ]

134

8,539

[ 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0 ]

[ 0, 7, 7, 15, 31, 44, 46, 48, 66, 79, 80, 102, 134, 137, 165, 182, 231, 276, 277, 289, 291, 317, 384, 411, 509, 514, 514, 551, 602, 698, 700, 734, 754, 830, 1185, 1444, 1495, 1625, 2099, 3189, 4012, 9287, 13908, 21452, 21452, 32993, 33714, 34500, 42424, 52364, 55327, 56641, 56987, 64196, 64262, 64977, 145345, 146147, 153762, 155654, 159733, 164625, 248050, 248784, 248890, 248969, 251368, 309577, 309621, 309658, 329604, 415279, 598509 ]

3

[ 0, 7, 0, 8, 16, 13, 2, 2, 18, 13, 1, 22, 32, 3, 28, 17, 49, 45, 1, 12, 2, 26, 67, 27, 98, 5, 0, 37, 51, 96, 2, 34, 20, 76, 355, 259, 51, 130, 474, 1090, 823, 5275, 4621, 7544, 0, 11541, 721, 786, 7924, 9940, 2963, 1314, 346, 7209, 66, 715, 80368, 802, 7615, 1892, 4079, 4892, 83425, 734, 106, 79, 2399, 58209, 44, 37, 19946, 85675, 183230 ]

73

8,540

[ 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 ]

[ 0, 1, 2, 17, 18, 19, 29, 39, 39, 54, 56, 60, 67, 75, 76, 79, 88, 98, 119, 191, 194, 202, 206, 213, 215, 250, 251, 254, 260, 315, 322, 324, 328, 366, 458, 482, 511, 518, 581, 583, 619, 639, 760, 812, 838, 892, 898, 936, 937, 1082, 1118, 1121, 1174, 1351, 1356, 1576, 1616, 1858, 1925, 2221, 2457, 2487, 2814, 2926, 3071, 3086, 3124, 3269, 3532, 3534, 4094, 4433, 4507, 4573, 4729, 5036, 5183, 5651, 6110, 6210, 6311, 6512, 6826, 7519, 7567, 7749, 8142, 8378, 8401, 8520, 8542, 8742, 8910, 8962, 10042, 10262, 10883, 11043, 11203, 11442, 12738, 12803, 12808, 12881, 12925, 13119, 14620, 15878, 16903, 17316, 17681, 18013, 18630, 18663, 19242, 19298, 20879, 21131, 21651, 23000, 24424, 25611, 26340 ]

3

[ 0, 1, 1, 15, 1, 1, 10, 10, 0, 15, 2, 4, 7, 8, 1, 3, 9, 10, 21, 72, 3, 8, 4, 7, 2, 35, 1, 3, 6, 55, 7, 2, 4, 38, 92, 24, 29, 7, 63, 2, 36, 20, 121, 52, 26, 54, 6, 38, 1, 145, 36, 3, 53, 177, 5, 220, 40, 242, 67, 296, 236, 30, 327, 112, 145, 15, 38, 145, 263, 2, 560, 339, 74, 66, 156, 307, 147, 468, 459, 100, 101, 201, 314, 693, 48, 182, 393, 236, 23, 119, 22, 200, 168, 52, 1080, 220, 621, 160, 160, 239, 1296, 65, 5, 73, 44, 194, 1501, 1258, 1025, 413, 365, 332, 617, 33, 579, 56, 1581, 252, 520, 1349, 1424, 1187, 729 ]

123

8,541

[ 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0 ]

[ 0, 2, 9, 10, 14, 24, 26, 32, 35, 36, 40, 40, 47, 47, 48, 50, 51, 56, 59, 61, 70, 77, 78, 79, 83, 89, 93, 99, 99, 116, 117, 122, 184, 229, 230, 236, 247, 252, 269, 300, 301, 324, 434, 434, 535, 539, 552, 582, 583, 653, 796, 932, 1024, 1044, 1122, 1190, 2799, 3124, 3264, 3428, 3573, 3624, 3654, 4017, 4908, 5060, 21080, 32353, 32904, 43363, 45630, 73819, 81889 ]

3

[ 0, 2, 7, 1, 4, 10, 2, 6, 3, 1, 4, 0, 7, 0, 1, 2, 1, 5, 3, 2, 9, 7, 1, 1, 4, 6, 4, 6, 0, 17, 1, 5, 62, 45, 1, 6, 11, 5, 17, 31, 1, 23, 110, 0, 101, 4, 13, 30, 1, 70, 143, 136, 92, 20, 78, 68, 1609, 325, 140, 164, 145, 51, 30, 363, 891, 152, 16020, 11273, 551, 10459, 2267, 28189, 8070 ]

73

8,542

[ 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1 ]

[ 0, 1, 8, 38, 48, 52, 76, 78, 119, 164, 169, 269, 279, 345, 444, 521, 574, 662, 666, 797, 874, 983, 1224, 1246, 1409, 1470, 1470, 1470, 1473, 1598, 1674, 1880, 1927, 1928, 1939, 1984, 2089, 2199, 2739, 2741, 2786, 2844, 3164, 3368, 5079, 5235, 5481, 6234, 6815, 6847, 7893, 22420, 28562, 30711, 57100, 61722 ]

3

[ 0, 1, 7, 30, 10, 4, 24, 2, 41, 45, 5, 100, 10, 66, 99, 77, 53, 88, 4, 131, 77, 109, 241, 22, 163, 61, 0, 0, 3, 125, 76, 206, 47, 1, 11, 45, 105, 110, 540, 2, 45, 58, 320, 204, 1711, 156, 246, 753, 581, 32, 1046, 14527, 6142, 2149, 26389, 4622 ]

56

8,543

[ 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0 ]

[ 0, 26, 45, 46, 47, 51, 53, 67, 81, 83, 86, 97, 99, 104, 104, 116, 123, 128, 129, 142, 153, 155, 187, 197, 209, 247, 248, 369, 371, 429, 545, 818, 937, 970, 1183, 1721, 1863, 2789, 2931, 3293, 3429, 3692, 5814, 6097, 6390, 7698, 25190, 33099, 49167, 54247, 56103, 179586, 233617 ]

3

[ 0, 26, 19, 1, 1, 4, 2, 14, 14, 2, 3, 11, 2, 5, 0, 12, 7, 5, 1, 13, 11, 2, 32, 10, 12, 38, 1, 121, 2, 58, 116, 273, 119, 33, 213, 538, 142, 926, 142, 362, 136, 263, 2122, 283, 293, 1308, 17492, 7909, 16068, 5080, 1856, 123483, 54031 ]

53

8,544

[ 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0 ]

[ 0, 6, 7, 10, 10, 11, 11, 12, 15, 17, 21, 23, 28, 36, 36, 38, 41, 44, 49, 52, 52, 54, 56, 116, 120, 137, 142, 143, 153, 176, 201, 207, 233, 319, 336, 360, 373, 393, 666, 668, 669, 689, 853, 865, 928, 1013, 1018, 1137, 1240, 1381, 1607, 1608, 1962, 2052, 2322, 2390, 2416, 2846, 2932, 3599, 4124, 6273, 8127, 19567, 21319, 25040, 28176, 29404, 34457 ]

3

[ 0, 6, 1, 3, 0, 1, 0, 1, 3, 2, 4, 2, 5, 8, 0, 2, 3, 3, 5, 3, 0, 2, 2, 60, 4, 17, 5, 1, 10, 23, 25, 6, 26, 86, 17, 24, 13, 20, 273, 2, 1, 20, 164, 12, 63, 85, 5, 119, 103, 141, 226, 1, 354, 90, 270, 68, 26, 430, 86, 667, 525, 2149, 1854, 11440, 1752, 3721, 3136, 1228, 5053 ]

69

8,545

[ 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0 ]

[ 0, 112, 452, 492, 492, 502, 530, 551, 574, 577, 615, 617, 622, 710, 714, 793, 810, 877, 903, 916, 955, 1031, 1047, 1066, 1133, 1286, 1570, 1635, 1811, 1824, 2290, 2541, 2743, 2799, 2845, 2857, 2899, 3299, 3404, 3899, 4276, 4399, 4660, 4788, 4810, 4931, 5584, 5803, 6362, 10198, 11931, 15616, 20053, 21116, 23742, 26611, 27876, 55419, 72110, 187868, 187988, 188144, 188939, 189638, 190289, 232021 ]

3

[ 0, 112, 340, 40, 0, 10, 28, 21, 23, 3, 38, 2, 5, 88, 4, 79, 17, 67, 26, 13, 39, 76, 16, 19, 67, 153, 284, 65, 176, 13, 466, 251, 202, 56, 46, 12, 42, 400, 105, 495, 377, 123, 261, 128, 22, 121, 653, 219, 559, 3836, 1733, 3685, 4437, 1063, 2626, 2869, 1265, 27543, 16691, 115758, 120, 156, 795, 699, 651, 41732 ]

66

8,546

[ 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0 ]

[ 0, 11, 38, 38, 45, 89, 109, 127, 162, 170, 198, 228, 347, 352, 401, 461, 601, 604, 761, 783, 798, 803, 805, 836, 944, 1502, 1673, 2024, 2155, 2597, 2702, 2705, 2725, 2792, 2835, 2882, 2882, 2948, 2970, 3037, 3165, 3188, 3385, 3630, 3879, 5448, 6169, 7171, 13195, 13823, 29829, 73336 ]

3

[ 0, 11, 27, 0, 7, 44, 20, 18, 35, 8, 28, 30, 119, 5, 49, 60, 140, 3, 157, 22, 15, 5, 2, 31, 108, 558, 171, 351, 131, 442, 105, 3, 20, 67, 43, 47, 0, 66, 22, 67, 128, 23, 197, 245, 249, 1569, 721, 1002, 6024, 628, 16006, 43507 ]

52

8,547

[ 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]

[ 0, 18, 19, 21, 46, 49, 60, 75, 96, 101, 106, 139, 145, 148, 150, 154, 171, 183, 232, 314, 324, 378, 402, 437, 463, 533, 545, 583, 635, 667, 673, 783, 805, 961, 992, 1135, 1156, 1237, 1285, 1287, 1428, 1480, 1643, 1658, 1750, 1982, 2016, 2153, 2165, 2269, 2529, 3364, 3395, 3467, 3828, 4543, 4901, 5169, 5632, 8580, 9169, 10345, 10457, 11307, 11307, 11867, 12073, 14481, 16483, 17404, 22088, 25187, 26691, 32133, 36922, 58625, 74673, 78545, 85019 ]

3

[ 0, 18, 1, 2, 25, 3, 11, 15, 21, 5, 5, 33, 6, 3, 2, 4, 17, 12, 49, 82, 10, 54, 24, 35, 26, 70, 12, 38, 52, 32, 6, 110, 22, 156, 31, 143, 21, 81, 48, 2, 141, 52, 163, 15, 92, 232, 34, 137, 12, 104, 260, 835, 31, 72, 361, 715, 358, 268, 463, 2948, 589, 1176, 112, 850, 0, 560, 206, 2408, 2002, 921, 4684, 3099, 1504, 5442, 4789, 21703, 16048, 3872, 6474 ]

79

8,548

[ 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]

[ 0, 7, 12, 12, 13, 15, 23, 28, 28, 32, 33, 39, 42, 49, 52, 53, 54, 63, 73, 74, 78, 83, 87, 92, 94, 106, 107, 140, 141, 149, 151, 159, 170, 183, 214, 230, 255, 257, 272, 279, 293, 308, 315, 345, 383, 479, 483, 493, 512, 519, 526, 603, 657, 672, 757, 828, 832, 910, 911, 1084, 1127, 1151, 1303, 1310, 1832, 1834, 2010, 2105, 2431, 2851, 3579, 3720, 4645, 4715, 4843, 5839, 6527, 7175, 7177, 9866, 11574, 12587, 13404, 18491, 19330, 24960, 29643, 29703, 36193, 36502, 37611, 41206, 41445, 60633, 60917, 64776, 71302, 71359, 71360, 71376, 71999, 72349, 74867, 78188, 81113, 81122, 81126, 81136, 81137, 81138, 81151, 81164, 81185, 81188, 81196, 81224, 81255, 81276, 81284, 81291, 81311, 81372, 81373, 81398, 81421, 81567, 81603, 82784, 83386, 84394, 85256, 92521, 95647, 255507, 320138, 333024, 567398 ]

3

[ 0, 7, 5, 0, 1, 2, 8, 5, 0, 4, 1, 6, 3, 7, 3, 1, 1, 9, 10, 1, 4, 5, 4, 5, 2, 12, 1, 33, 1, 8, 2, 8, 11, 13, 31, 16, 25, 2, 15, 7, 14, 15, 7, 30, 38, 96, 4, 10, 19, 7, 7, 77, 54, 15, 85, 71, 4, 78, 1, 173, 43, 24, 152, 7, 522, 2, 176, 95, 326, 420, 728, 141, 925, 70, 128, 996, 688, 648, 2, 2689, 1708, 1013, 817, 5087, 839, 5630, 4683, 60, 6490, 309, 1109, 3595, 239, 19188, 284, 3859, 6526, 57, 1, 16, 623, 350, 2518, 3321, 2925, 9, 4, 10, 1, 1, 13, 13, 21, 3, 8, 28, 31, 21, 8, 7, 20, 61, 1, 25, 23, 146, 36, 1181, 602, 1008, 862, 7265, 3126, 159860, 64631, 12886, 234374 ]

137

8,549

[ 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1 ]

[ 0, 37, 39, 45, 65, 73, 77, 81, 115, 141, 162, 164, 187, 188, 193, 202, 352, 368, 399, 415, 465, 707, 976, 1044, 1051, 1097, 1125, 1133, 1231, 1324, 1372, 1545, 1667, 1730, 2020, 2070, 2141, 2208, 2712, 2735, 2789, 2871, 3079, 3343, 3518, 4284, 4527, 5150, 5198, 5583, 7382, 8109, 8724, 10565, 14925, 15312, 16263, 26257, 27789, 30083, 38594, 71327 ]

3

[ 0, 37, 2, 6, 20, 8, 4, 4, 34, 26, 21, 2, 23, 1, 5, 9, 150, 16, 31, 16, 50, 242, 269, 68, 7, 46, 28, 8, 98, 93, 48, 173, 122, 63, 290, 50, 71, 67, 504, 23, 54, 82, 208, 264, 175, 766, 243, 623, 48, 385, 1799, 727, 615, 1841, 4360, 387, 951, 9994, 1532, 2294, 8511, 32733 ]

62

8,550

[ 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ]

[ 0, 2, 60, 69, 135, 138, 140, 148, 177, 202, 215, 459, 499, 528, 566, 599, 620, 725, 837, 934, 980, 1035, 1096, 1144, 1170, 1446, 1492, 1599, 1747, 2285, 2588, 2832, 3432, 3897, 3916, 4015, 4792, 4955, 5232, 5455, 5699, 5848, 6435, 7604, 8051, 9079, 10356, 10573, 11382, 11476, 14937, 16224, 16997, 19987, 23454, 26195, 26213, 26599, 28054, 31493, 44234, 57635, 188552 ]

3

[ 0, 2, 58, 9, 66, 3, 2, 8, 29, 25, 13, 244, 40, 29, 38, 33, 21, 105, 112, 97, 46, 55, 61, 48, 26, 276, 46, 107, 148, 538, 303, 244, 600, 465, 19, 99, 777, 163, 277, 223, 244, 149, 587, 1169, 447, 1028, 1277, 217, 809, 94, 3461, 1287, 773, 2990, 3467, 2741, 18, 386, 1455, 3439, 12741, 13401, 130917 ]

63

8,551

[ 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0 ]

[ 0, 39, 44, 45, 56, 64, 79, 80, 82, 84, 89, 94, 98, 102, 113, 115, 124, 126, 128, 132, 136, 137, 140, 147, 148, 150, 151, 159, 160, 160, 169, 186, 201, 203, 210, 224, 226, 231, 237, 250, 250, 265, 289, 299, 305, 318, 324, 334, 387, 458, 480, 844, 1893, 1918, 1920, 1931, 1944, 1953, 1978, 1987, 2028, 2031, 2104, 2343, 2914, 3919, 3947, 3961, 3973, 3973, 3987, 4002, 4005, 4074, 4106, 4357, 4365, 4581, 22337, 22368, 22397, 22411, 22418, 22419, 22435, 22448, 22449, 22453, 22453, 22461, 22468, 22469, 22472, 22479, 22480, 22483, 22489, 22497, 22497, 22499, 22508, 22509, 22510, 22518, 22522, 22614, 22620, 22727, 22948, 22989, 23650, 264051 ]

3

[ 0, 39, 5, 1, 11, 8, 15, 1, 2, 2, 5, 5, 4, 4, 11, 2, 9, 2, 2, 4, 4, 1, 3, 7, 1, 2, 1, 8, 1, 0, 9, 17, 15, 2, 7, 14, 2, 5, 6, 13, 0, 15, 24, 10, 6, 13, 6, 10, 53, 71, 22, 364, 1049, 25, 2, 11, 13, 9, 25, 9, 41, 3, 73, 239, 571, 1005, 28, 14, 12, 0, 14, 15, 3, 69, 32, 251, 8, 216, 17756, 31, 29, 14, 7, 1, 16, 13, 1, 4, 0, 8, 7, 1, 3, 7, 1, 3, 6, 8, 0, 2, 9, 1, 1, 8, 4, 92, 6, 107, 221, 41, 661, 240401 ]

112

8,552

[ 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1 ]

[ 0, 1, 4, 10, 20, 22, 26, 27, 28, 29, 31, 38, 40, 40, 41, 42, 45, 47, 50, 51, 58, 71, 71, 72, 75, 76, 78, 79, 87, 87, 93, 97, 99, 102, 103, 104, 112, 112, 116, 119, 121, 123, 129, 130, 140, 144, 144, 177, 187, 196, 202, 204, 205, 207, 207, 224, 234, 235, 238, 267, 270, 273, 275, 275, 276, 289, 298, 305, 308, 311, 321, 323, 351, 355, 382, 388, 392, 415, 415, 425, 426, 433, 449, 457, 459, 467, 470, 474, 480, 541, 564, 573, 578, 579, 590, 606, 611, 625, 682, 689, 690, 712, 718, 765, 773, 787, 789, 794, 803, 828, 840, 850, 898, 907, 913, 928, 943, 946, 949, 977, 981, 983, 1003, 1043, 1051, 1067, 1087, 1106, 1150, 1157, 1168, 1234, 1249, 1317, 1337, 1374, 1411, 1467, 1488, 1490, 1533, 1563, 1590, 1593, 1674, 1686, 1697, 1699, 1756, 1830, 1834, 2033, 2090, 2103, 2140, 2250, 2282, 2311, 2376, 2495, 2563, 2668, 2781, 2834, 2857, 2895, 2988, 3187, 3240, 3346, 3358, 3448, 3463, 3492, 3498, 3526, 3621, 3643, 3705, 3794, 3802, 4104, 4155, 4245, 4287, 4287, 4715, 4754, 4758, 5692, 6062, 6231, 6292, 6384, 7006, 7303, 7305, 7442, 7768, 7961, 8583, 8794, 9351, 9358, 9418, 10106, 10152, 10370, 10604, 10971, 11075, 11267, 12921, 13445, 13757, 13758, 13974, 14473, 16928, 17777, 24027, 26141, 26154, 29848, 30730, 32642, 33928, 34045, 42710, 48564, 59505, 115890, 133983, 176042, 217811, 218655 ]

3

[ 0, 1, 3, 6, 10, 2, 4, 1, 1, 1, 2, 7, 2, 0, 1, 1, 3, 2, 3, 1, 7, 13, 0, 1, 3, 1, 2, 1, 8, 0, 6, 4, 2, 3, 1, 1, 8, 0, 4, 3, 2, 2, 6, 1, 10, 4, 0, 33, 10, 9, 6, 2, 1, 2, 0, 17, 10, 1, 3, 29, 3, 3, 2, 0, 1, 13, 9, 7, 3, 3, 10, 2, 28, 4, 27, 6, 4, 23, 0, 10, 1, 7, 16, 8, 2, 8, 3, 4, 6, 61, 23, 9, 5, 1, 11, 16, 5, 14, 57, 7, 1, 22, 6, 47, 8, 14, 2, 5, 9, 25, 12, 10, 48, 9, 6, 15, 15, 3, 3, 28, 4, 2, 20, 40, 8, 16, 20, 19, 44, 7, 11, 66, 15, 68, 20, 37, 37, 56, 21, 2, 43, 30, 27, 3, 81, 12, 11, 2, 57, 74, 4, 199, 57, 13, 37, 110, 32, 29, 65, 119, 68, 105, 113, 53, 23, 38, 93, 199, 53, 106, 12, 90, 15, 29, 6, 28, 95, 22, 62, 89, 8, 302, 51, 90, 42, 0, 428, 39, 4, 934, 370, 169, 61, 92, 622, 297, 2, 137, 326, 193, 622, 211, 557, 7, 60, 688, 46, 218, 234, 367, 104, 192, 1654, 524, 312, 1, 216, 499, 2455, 849, 6250, 2114, 13, 3694, 882, 1912, 1286, 117, 8665, 5854, 10941, 56385, 18093, 42059, 41769, 844 ]

236

8,553

[ 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1 ]

[ 0, 26, 30, 31, 66, 132, 145, 168, 177, 189, 210, 321, 537, 569, 605, 789, 893, 922, 955, 1099, 1130, 1461, 1472, 1760, 1786, 1902, 1997, 2395, 2469, 2654, 3027, 3229, 4010, 4241, 4856, 4905, 5958, 6361, 6508, 7282, 8206, 8890, 9005, 10209, 10532, 13652, 16875, 28936, 39654, 59224, 72534, 75092, 96771, 99953, 110585, 223068, 443665, 464888 ]

3

[ 0, 26, 4, 1, 35, 66, 13, 23, 9, 12, 21, 111, 216, 32, 36, 184, 104, 29, 33, 144, 31, 331, 11, 288, 26, 116, 95, 398, 74, 185, 373, 202, 781, 231, 615, 49, 1053, 403, 147, 774, 924, 684, 115, 1204, 323, 3120, 3223, 12061, 10718, 19570, 13310, 2558, 21679, 3182, 10632, 112483, 220597, 21223 ]

58

8,554

[ 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0 ]

[ 0, 6, 7, 15, 16, 20, 24, 25, 32, 43, 54, 57, 62, 69, 69, 69, 79, 83, 85, 85, 86, 89, 91, 91, 97, 100, 102, 102, 103, 104, 108, 110, 112, 115, 122, 129, 136, 137, 151, 155, 165, 178, 179, 181, 191, 201, 217, 223, 233, 235, 239, 255, 255, 256, 259, 266, 269, 274, 281, 285, 292, 298, 331, 332, 346, 359, 365, 365, 371, 383, 384, 400, 489, 492, 493, 500, 521, 522, 525, 546, 556, 559, 575, 579, 597, 599, 607, 634, 646, 678, 699, 702, 787, 790, 809, 832, 838, 838, 838, 861, 890, 964, 973, 980, 1001, 1039, 1049, 1078, 1100, 1103, 1118, 1227, 1259, 1268, 1281, 1306, 1311, 1318, 1319, 1401, 1406, 1503, 1510, 1521, 1536, 1606, 1626, 1627, 1629, 1660, 1755, 1866, 1874, 1893, 2033, 2059, 2170, 2303, 2314, 2405, 2484, 2506, 2584, 2615, 2632, 2670, 2676, 2719, 2810, 2836, 2890, 2907, 3224, 3426, 3437, 3476, 3528, 3793, 4211, 4346, 4438, 4503, 4634, 4659, 4787, 5029, 5469, 5483, 5516, 5657, 6078, 6092, 6171, 6564, 6613, 6908, 7293, 7359, 7361, 8056, 8339, 8617, 8733, 9505, 9659, 9690, 9784, 9825, 9925, 10365, 11031, 12007, 12110, 13322, 15168, 15306, 16806, 20131, 23743, 24395, 26222, 27471, 28536, 29038, 33299, 33315, 33557, 35567, 42457, 43098, 46516, 59682, 62087, 63211, 81336, 83542, 84159, 95270, 95508, 95665, 96319, 108707, 109499, 109755, 109880, 110069, 110741, 112735, 134887, 136314, 161636, 161916, 178324, 284670 ]

3

[ 0, 6, 1, 8, 1, 4, 4, 1, 7, 11, 11, 3, 5, 7, 0, 0, 10, 4, 2, 0, 1, 3, 2, 0, 6, 3, 2, 0, 1, 1, 4, 2, 2, 3, 7, 7, 7, 1, 14, 4, 10, 13, 1, 2, 10, 10, 16, 6, 10, 2, 4, 16, 0, 1, 3, 7, 3, 5, 7, 4, 7, 6, 33, 1, 14, 13, 6, 0, 6, 12, 1, 16, 89, 3, 1, 7, 21, 1, 3, 21, 10, 3, 16, 4, 18, 2, 8, 27, 12, 32, 21, 3, 85, 3, 19, 23, 6, 0, 0, 23, 29, 74, 9, 7, 21, 38, 10, 29, 22, 3, 15, 109, 32, 9, 13, 25, 5, 7, 1, 82, 5, 97, 7, 11, 15, 70, 20, 1, 2, 31, 95, 111, 8, 19, 140, 26, 111, 133, 11, 91, 79, 22, 78, 31, 17, 38, 6, 43, 91, 26, 54, 17, 317, 202, 11, 39, 52, 265, 418, 135, 92, 65, 131, 25, 128, 242, 440, 14, 33, 141, 421, 14, 79, 393, 49, 295, 385, 66, 2, 695, 283, 278, 116, 772, 154, 31, 94, 41, 100, 440, 666, 976, 103, 1212, 1846, 138, 1500, 3325, 3612, 652, 1827, 1249, 1065, 502, 4261, 16, 242, 2010, 6890, 641, 3418, 13166, 2405, 1124, 18125, 2206, 617, 11111, 238, 157, 654, 12388, 792, 256, 125, 189, 672, 1994, 22152, 1427, 25322, 280, 16408, 106346 ]

234

8,555

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[ 0, 66, 134, 151, 195, 229, 318, 395, 422, 422, 461, 462, 468, 480, 481, 526, 668, 684, 743, 1251, 1378, 1736, 1971, 3512, 3572, 3720, 3897, 4158, 4265, 4874, 5182, 5401, 7485, 7663, 7788, 8117, 10878, 10944, 11289, 11921, 13569, 14886, 18638, 19912, 21696, 29892, 31813, 42849, 43040, 122784, 212300 ]

3

[ 0, 66, 68, 17, 44, 34, 89, 77, 27, 0, 39, 1, 6, 12, 1, 45, 142, 16, 59, 508, 127, 358, 235, 1541, 60, 148, 177, 261, 107, 609, 308, 219, 2084, 178, 125, 329, 2761, 66, 345, 632, 1648, 1317, 3752, 1274, 1784, 8196, 1921, 11036, 191, 79744, 89516 ]

51

8,556

[ 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0 ]

[ 0, 12, 38, 49, 53, 58, 68, 69, 71, 73, 82, 83, 87, 87, 89, 94, 95, 101, 104, 115, 121, 135, 137, 140, 142, 145, 159, 160, 163, 164, 170, 177, 191, 199, 204, 209, 222, 229, 238, 239, 240, 266, 328, 345, 361, 384, 410, 589, 633, 706, 744, 756, 861, 1108, 1206, 1419, 1479, 1589, 3313, 5170, 6484, 7122, 10973 ]

3

[ 0, 12, 26, 11, 4, 5, 10, 1, 2, 2, 9, 1, 4, 0, 2, 5, 1, 6, 3, 11, 6, 14, 2, 3, 2, 3, 14, 1, 3, 1, 6, 7, 14, 8, 5, 5, 13, 7, 9, 1, 1, 26, 62, 17, 16, 23, 26, 179, 44, 73, 38, 12, 105, 247, 98, 213, 60, 110, 1724, 1857, 1314, 638, 3851 ]

63

8,557

[ 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1 ]

[ 0, 29, 36, 144, 217, 393, 621, 755, 1045, 1544, 1645, 2607, 3875, 4078, 4487, 17004, 21000, 26973, 28745, 34157, 34315, 46535, 64432, 74454, 74483, 74508, 74509, 74522, 74529, 74537, 74570, 74629, 74772, 74829, 74829, 74832, 74832, 74936, 74958, 74966, 74999, 75014, 75036, 75159, 75165, 75183, 75264, 75281, 75317, 75319, 75428, 75437, 75497, 75580, 75686, 75924, 76425, 77542, 78212, 78292, 78340, 78609, 78623, 78645, 78780, 78859, 79076, 79270, 79720, 79783, 79798, 80117, 80192, 80403, 80714, 80742, 80779, 81818, 82593, 83731, 85620, 87356, 87545, 162986 ]

3

[ 0, 29, 7, 108, 73, 176, 228, 134, 290, 499, 101, 962, 1268, 203, 409, 12517, 3996, 5973, 1772, 5412, 158, 12220, 17897, 10022, 29, 25, 1, 13, 7, 8, 33, 59, 143, 57, 0, 3, 0, 104, 22, 8, 33, 15, 22, 123, 6, 18, 81, 17, 36, 2, 109, 9, 60, 83, 106, 238, 501, 1117, 670, 80, 48, 269, 14, 22, 135, 79, 217, 194, 450, 63, 15, 319, 75, 211, 311, 28, 37, 1039, 775, 1138, 1889, 1736, 189, 75441 ]

84

8,558

[ 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 11, 15, 17, 22, 26, 26, 31, 37, 41, 63, 68, 68, 76, 76, 83, 85, 108, 113, 113, 152, 163, 165, 170, 172, 176, 189, 193, 246, 371, 373, 391, 456, 488, 497, 561, 635, 988, 1213, 1375, 1542, 1894, 1908, 2672, 2691, 3280, 4445, 4620, 4758, 30218, 30963, 34758, 50749, 53793, 84002, 143852 ]

3

[ 0, 0, 11, 4, 2, 5, 4, 0, 5, 6, 4, 22, 5, 0, 8, 0, 7, 2, 23, 5, 0, 39, 11, 2, 5, 2, 4, 13, 4, 53, 125, 2, 18, 65, 32, 9, 64, 74, 353, 225, 162, 167, 352, 14, 764, 19, 589, 1165, 175, 138, 25460, 745, 3795, 15991, 3044, 30209, 59850 ]

57

8,559

[ 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1 ]

[ 0, 4, 12, 12, 14, 15, 38, 39, 40, 41, 50, 55, 56, 59, 60, 69, 70, 75, 76, 79, 83, 89, 95, 96, 104, 109, 109, 116, 127, 146, 172, 179, 181, 206, 209, 210, 244, 248, 283, 292, 304, 343, 353, 369, 381, 401, 473, 560, 591, 600, 639, 796, 930, 947, 1000, 1085, 1100, 1247, 1270, 1370, 1370, 1401, 1401, 1433, 1698, 1752, 1843, 2002, 2370, 3024, 3278, 3504, 4276, 5868, 13274, 19083 ]

3

[ 0, 4, 8, 0, 2, 1, 23, 1, 1, 1, 9, 5, 1, 3, 1, 9, 1, 5, 1, 3, 4, 6, 6, 1, 8, 5, 0, 7, 11, 19, 26, 7, 2, 25, 3, 1, 34, 4, 35, 9, 12, 39, 10, 16, 12, 20, 72, 87, 31, 9, 39, 157, 134, 17, 53, 85, 15, 147, 23, 100, 0, 31, 0, 32, 265, 54, 91, 159, 368, 654, 254, 226, 772, 1592, 7406, 5809 ]

76

8,560

[ 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ]

[ 0, 12, 13, 25, 35, 36, 36, 41, 46, 46, 61, 72, 81, 81, 100, 113, 116, 124, 130, 133, 231, 233, 255, 261, 297, 343, 348, 369, 374, 382, 392, 396, 407, 420, 425, 430, 440, 514, 559, 579, 655, 715, 757, 781, 907, 933, 1062, 1151, 1200, 1291, 1348, 1379, 1475, 1505, 1554, 1593, 1782, 1782, 1892, 1965, 2007, 2017, 2053, 2189, 2284, 2360, 2496, 2552, 2711, 2758, 2765, 2911, 2917, 3000, 3160, 3419, 3997, 4151, 4555, 4590, 4997, 5689, 5802, 5990, 6123, 6450, 8331, 8387, 9745, 11537, 11614, 13015, 15489, 16502, 16616, 18298, 24122, 25201, 27203, 30248, 32914, 36922, 40769, 44240, 63091, 70298, 91736, 96038 ]

3

[ 0, 12, 1, 12, 10, 1, 0, 5, 5, 0, 15, 11, 9, 0, 19, 13, 3, 8, 6, 3, 98, 2, 22, 6, 36, 46, 5, 21, 5, 8, 10, 4, 11, 13, 5, 5, 10, 74, 45, 20, 76, 60, 42, 24, 126, 26, 129, 89, 49, 91, 57, 31, 96, 30, 49, 39, 189, 0, 110, 73, 42, 10, 36, 136, 95, 76, 136, 56, 159, 47, 7, 146, 6, 83, 160, 259, 578, 154, 404, 35, 407, 692, 113, 188, 133, 327, 1881, 56, 1358, 1792, 77, 1401, 2474, 1013, 114, 1682, 5824, 1079, 2002, 3045, 2666, 4008, 3847, 3471, 18851, 7207, 21438, 4302 ]

108

8,561

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[ 0, 1, 4, 11, 12, 14, 18, 25, 31, 32, 33, 34, 36, 36, 37, 38, 40, 41, 42, 44, 46, 49, 50, 50, 50, 51, 52, 54, 55, 56, 56, 57, 58, 59, 63, 65, 65, 66, 67, 71, 72, 76, 78, 81, 89, 90, 91, 95, 103, 118, 122, 124, 125, 127, 128, 129, 131, 132, 134, 137, 144, 146, 148, 152, 154, 156, 158, 160, 161, 163, 164, 167, 167, 169, 170, 173, 174, 177, 178, 179, 181, 182, 184, 186, 190, 192, 193, 203, 227, 228, 252, 254, 272, 276, 329, 505, 574 ]

3

[ 0, 1, 3, 7, 1, 2, 4, 7, 6, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 3, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 4, 2, 0, 1, 1, 4, 1, 4, 2, 3, 8, 1, 1, 4, 8, 15, 4, 2, 1, 2, 1, 1, 2, 1, 2, 3, 7, 2, 2, 4, 2, 2, 2, 2, 1, 2, 1, 3, 0, 2, 1, 3, 1, 3, 1, 1, 2, 1, 2, 2, 4, 2, 1, 10, 24, 1, 24, 2, 18, 4, 53, 176, 69 ]

97

8,562

[ 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1 ]

[ 0, 10, 29, 63, 79, 83, 93, 127, 131, 132, 145, 154, 159, 165, 168, 177, 372, 401, 559, 625, 636, 945, 1165, 1219, 1260, 1848, 2099, 2216, 2231, 2242, 2243, 2261, 2267, 2270, 2273, 2280, 2283, 2443, 2478, 2653, 2745, 2970, 2971, 3018, 3135, 3158, 3624, 3874, 4010, 4078, 4110, 4147, 4239, 4535, 4904, 5847, 6119, 6143, 6502, 6743, 8059, 10144, 10146, 12531, 13249, 18018, 19472, 21064, 21651, 21694, 21828, 21866, 23863, 24039, 24296, 24899, 27300, 30117, 32877, 34385, 49725, 64871, 73764, 112156, 121838, 182870 ]

3

[ 0, 10, 19, 34, 16, 4, 10, 34, 4, 1, 13, 9, 5, 6, 3, 9, 195, 29, 158, 66, 11, 309, 220, 54, 41, 588, 251, 117, 15, 11, 1, 18, 6, 3, 3, 7, 3, 160, 35, 175, 92, 225, 1, 47, 117, 23, 466, 250, 136, 68, 32, 37, 92, 296, 369, 943, 272, 24, 359, 241, 1316, 2085, 2, 2385, 718, 4769, 1454, 1592, 587, 43, 134, 38, 1997, 176, 257, 603, 2401, 2817, 2760, 1508, 15340, 15146, 8893, 38392, 9682, 61032 ]

86

8,563

[ 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1 ]

[ 0, 11, 11, 12, 15, 31, 40, 45, 90, 91, 168, 223, 247, 273, 275, 291, 310, 447, 475, 640, 652, 664, 788, 994, 1036, 1041, 1055, 1169, 1205, 1229, 1364, 1415, 1436, 2309, 2547, 2606, 3204, 3204, 3757, 3825, 4096, 4428, 5660, 6184, 7055, 11082, 11099, 12992, 14501, 14677, 15739, 15839, 16488, 16676, 17392, 20060, 32298, 32968, 34207, 52281, 158544, 170113, 174032, 185235, 201675, 225636, 271808, 322753, 366690, 583196 ]

3

[ 0, 11, 0, 1, 3, 16, 9, 5, 45, 1, 77, 55, 24, 26, 2, 16, 19, 137, 28, 165, 12, 12, 124, 206, 42, 5, 14, 114, 36, 24, 135, 51, 21, 873, 238, 59, 598, 0, 553, 68, 271, 332, 1232, 524, 871, 4027, 17, 1893, 1509, 176, 1062, 100, 649, 188, 716, 2668, 12238, 670, 1239, 18074, 106263, 11569, 3919, 11203, 16440, 23961, 46172, 50945, 43937, 216506 ]

70

8,564

[ 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0 ]

[ 0, 3, 19, 22, 22, 26, 27, 30, 31, 41, 47, 49, 50, 59, 62, 64, 67, 67, 69, 79, 79, 81, 86, 117, 131, 136, 146, 153, 160, 161, 163, 166, 177, 187, 190, 202, 204, 242, 257, 291, 300, 326, 383, 455, 456, 464, 466, 470, 483, 522, 556, 600, 637, 717, 749, 810, 845, 871, 897, 949, 970, 980, 1037, 1112, 1123, 1130, 1188, 1198, 1311, 1389, 1414, 1497, 1535, 1591, 2005, 2043, 2457, 2668, 2739, 3373, 3696, 4167, 4302, 4444, 4513, 4962, 5720, 6625, 6823, 7419, 7621, 7693, 7765, 7870, 7911, 8045, 8906, 9256, 9362, 9842, 10089, 10095, 11124, 13109, 14191, 14350, 18606, 19980, 29182, 37741, 40956, 41075, 41075, 43228, 44565, 45099, 46863, 47738, 48417, 51074, 51150, 52927, 54237, 54641, 54826, 60794, 60805, 60875, 60900, 60970, 62784, 166037, 190063 ]

3

[ 0, 3, 16, 3, 0, 4, 1, 3, 1, 10, 6, 2, 1, 9, 3, 2, 3, 0, 2, 10, 0, 2, 5, 31, 14, 5, 10, 7, 7, 1, 2, 3, 11, 10, 3, 12, 2, 38, 15, 34, 9, 26, 57, 72, 1, 8, 2, 4, 13, 39, 34, 44, 37, 80, 32, 61, 35, 26, 26, 52, 21, 10, 57, 75, 11, 7, 58, 10, 113, 78, 25, 83, 38, 56, 414, 38, 414, 211, 71, 634, 323, 471, 135, 142, 69, 449, 758, 905, 198, 596, 202, 72, 72, 105, 41, 134, 861, 350, 106, 480, 247, 6, 1029, 1985, 1082, 159, 4256, 1374, 9202, 8559, 3215, 119, 0, 2153, 1337, 534, 1764, 875, 679, 2657, 76, 1777, 1310, 404, 185, 5968, 11, 70, 25, 70, 1814, 103253, 24026 ]

133

8,565

[ 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1 ]

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3

[ 0, 2, 5, 5, 2, 4, 0, 7, 1, 2, 2, 5, 0, 1, 6, 1, 2, 1, 10, 2, 2, 0, 1, 11, 8, 1, 0, 2, 5, 14, 8, 7, 4, 0, 1, 1, 2, 4, 9, 2, 3, 7, 5, 10, 19, 0, 5, 14, 1, 2, 9, 15, 2, 7, 5, 6, 6, 8, 21, 12, 10, 5, 9, 49, 13, 28, 73, 26, 5, 1, 14, 12, 2, 6, 3, 8, 7, 7, 1, 4, 1, 3, 18, 49, 24, 50, 11, 1, 3, 22, 4, 9, 42, 20, 5, 0, 62, 33, 32, 8, 5, 1, 0, 4, 10, 23, 21, 41, 3, 0, 7, 80, 14, 17, 2, 15, 5, 6, 3, 54, 33, 0, 24, 35, 12, 108, 8, 6, 26, 11, 3, 45, 28, 16, 1, 43, 23, 57, 29, 1, 3, 116, 119, 22, 68, 4, 10, 7, 77, 6, 1, 38, 7412, 164, 3, 139, 207, 124, 78, 3, 58, 59, 773, 12, 555, 386, 40, 9, 239, 38, 84, 7, 767, 480, 670, 127, 507, 23, 496, 457, 175, 42, 1214, 402, 244, 718, 398, 416, 2193, 699, 1839, 753, 1321, 10690, 92, 8648, 227614 ]

197

8,566

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[ 0, 6, 11, 11, 21, 32, 32, 34, 36, 39, 49, 53, 54, 57, 58, 59, 72, 75, 97, 111, 111, 119, 149, 176, 181, 198, 202, 204, 209, 214, 228, 230, 236, 253, 283, 300, 312, 320, 331, 342, 343, 461, 576, 590, 823, 982, 1069, 1269, 1290, 1301, 1350, 1451, 1501, 1641, 1737, 1857, 2413, 2694, 2739, 2754, 2986, 3646, 4160, 4880, 5555, 6204, 10070, 12529, 15648, 26660, 31514, 33692, 33941, 46596, 51330, 52758, 57874 ]

3

[ 0, 6, 5, 0, 10, 11, 0, 2, 2, 3, 10, 4, 1, 3, 1, 1, 13, 3, 22, 14, 0, 8, 30, 27, 5, 17, 4, 2, 5, 5, 14, 2, 6, 17, 30, 17, 12, 8, 11, 11, 1, 118, 115, 14, 233, 159, 87, 200, 21, 11, 49, 101, 50, 140, 96, 120, 556, 281, 45, 15, 232, 660, 514, 720, 675, 649, 3866, 2459, 3119, 11012, 4854, 2178, 249, 12655, 4734, 1428, 5116 ]

77

8,567

[ 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1 ]

[ 0, 2, 3, 7, 9, 13, 15, 19, 22, 22, 27, 30, 34, 34, 40, 49, 51, 51, 53, 57, 67, 72, 73, 74, 81, 84, 84, 86, 88, 94, 96, 99, 99, 126, 131, 148, 148, 158, 161, 165, 188, 216, 226, 239, 252, 293, 312, 320, 329, 331, 348, 369, 383, 449, 460, 483, 514, 524, 540, 573, 574, 622, 654, 677, 689, 720, 761, 850, 905, 951, 957, 1142, 1273, 1409, 1463, 1603, 1635, 1686, 1863, 1908, 2090, 2168, 2428, 2435, 2443, 2902, 2958, 3000, 3009, 3040, 3055, 3056, 3065, 3079, 3194, 3402, 3468, 3552, 3577, 3781, 3811, 4022, 4150, 4166, 4170, 4179, 4207, 4314, 4317, 4321, 4366, 4511, 4549, 4550, 4964, 5050, 5138, 5617, 5710, 5984, 7260, 9580, 11665, 16955, 22184, 26937, 27893, 33103, 43835, 51820, 54611, 57892, 67156, 67817, 83139, 83289, 83643, 83940, 87819, 90160, 131462, 132444, 145119, 150021, 150079, 150115, 150132, 150135, 150172, 150200, 150204, 150245, 150254, 150285, 150368, 150374, 150433, 150549, 150549, 150615, 150701, 151217, 151608, 153239, 162121, 178910, 179022, 214805, 254299, 254435, 254441, 254462, 254496, 254734, 254848, 254895, 254974, 255525, 255565 ]

3

[ 0, 2, 1, 4, 2, 4, 2, 4, 3, 0, 5, 3, 4, 0, 6, 9, 2, 0, 2, 4, 10, 5, 1, 1, 7, 3, 0, 2, 2, 6, 2, 3, 0, 27, 5, 17, 0, 10, 3, 4, 23, 28, 10, 13, 13, 41, 19, 8, 9, 2, 17, 21, 14, 66, 11, 23, 31, 10, 16, 33, 1, 48, 32, 23, 12, 31, 41, 89, 55, 46, 6, 185, 131, 136, 54, 140, 32, 51, 177, 45, 182, 78, 260, 7, 8, 459, 56, 42, 9, 31, 15, 1, 9, 14, 115, 208, 66, 84, 25, 204, 30, 211, 128, 16, 4, 9, 28, 107, 3, 4, 45, 145, 38, 1, 414, 86, 88, 479, 93, 274, 1276, 2320, 2085, 5290, 5229, 4753, 956, 5210, 10732, 7985, 2791, 3281, 9264, 661, 15322, 150, 354, 297, 3879, 2341, 41302, 982, 12675, 4902, 58, 36, 17, 3, 37, 28, 4, 41, 9, 31, 83, 6, 59, 116, 0, 66, 86, 516, 391, 1631, 8882, 16789, 112, 35783, 39494, 136, 6, 21, 34, 238, 114, 47, 79, 551, 40 ]

179

8,568

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[ 0, 1, 5, 6, 8, 9, 10, 14, 19, 23, 28, 28, 28, 29, 30, 32, 37, 38, 39, 47, 51, 56, 59, 63, 65, 69, 71, 71, 73, 73, 75, 76, 86, 87, 92, 92, 94, 96, 98, 102, 104, 105, 109, 112, 114, 116, 127, 141, 144, 160, 162, 173, 195, 210, 215, 329, 330, 369, 388, 424, 424, 457, 549, 723, 733, 840, 954, 1136, 1732, 1955, 2378, 2432, 2437, 3608, 4228, 4579, 4724, 4730, 17782, 28588, 67068, 67723, 67967, 68017, 70217, 70664, 71735, 82879 ]

3

[ 0, 1, 4, 1, 2, 1, 1, 4, 5, 4, 5, 0, 0, 1, 1, 2, 5, 1, 1, 8, 4, 5, 3, 4, 2, 4, 2, 0, 2, 0, 2, 1, 10, 1, 5, 0, 2, 2, 2, 4, 2, 1, 4, 3, 2, 2, 11, 14, 3, 16, 2, 11, 22, 15, 5, 114, 1, 39, 19, 36, 0, 33, 92, 174, 10, 107, 114, 182, 596, 223, 423, 54, 5, 1171, 620, 351, 145, 6, 13052, 10806, 38480, 655, 244, 50, 2200, 447, 1071, 11144 ]

88

8,569

[ 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0 ]

[ 0, 16, 48, 53, 58, 74, 89, 96, 105, 120, 121, 122, 127, 137, 142, 148, 154, 155, 171, 182, 219, 223, 243, 247, 257, 276, 279, 284, 285, 308, 310, 311, 313, 341, 352, 357, 357, 369, 375, 382, 430, 458, 562, 569, 586, 589, 601, 635, 685, 692, 713, 909, 921, 956, 1017, 1148, 1197, 1276, 1282, 1302, 1709, 1767, 1945, 1956, 2068, 2140, 2152, 2187, 2464, 2946, 2950, 2965, 2969, 3053, 3301, 3355, 3523, 3527, 3591, 3685, 3730, 3856, 3884, 4164, 4368, 4822, 4846, 5409, 6034, 6206, 6447, 7045, 7106, 7187, 7281, 7455, 8074, 9529, 10329, 10919, 11325, 11325, 11496, 11567, 12195, 13122, 17285, 18457, 18669, 20398, 27334, 27334, 30106, 31081, 39394, 40708, 51230, 54872, 67630 ]

3

[ 0, 16, 32, 5, 5, 16, 15, 7, 9, 15, 1, 1, 5, 10, 5, 6, 6, 1, 16, 11, 37, 4, 20, 4, 10, 19, 3, 5, 1, 23, 2, 1, 2, 28, 11, 5, 0, 12, 6, 7, 48, 28, 104, 7, 17, 3, 12, 34, 50, 7, 21, 196, 12, 35, 61, 131, 49, 79, 6, 20, 407, 58, 178, 11, 112, 72, 12, 35, 277, 482, 4, 15, 4, 84, 248, 54, 168, 4, 64, 94, 45, 126, 28, 280, 204, 454, 24, 563, 625, 172, 241, 598, 61, 81, 94, 174, 619, 1455, 800, 590, 406, 0, 171, 71, 628, 927, 4163, 1172, 212, 1729, 6936, 0, 2772, 975, 8313, 1314, 10522, 3642, 12758 ]

119

8,570

[ 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0 ]

[ 0, 3, 35, 50, 99, 108, 131, 139, 160, 173, 181, 207, 216, 254, 288, 431, 452, 633, 665, 792, 793, 818, 1014, 1067, 1130, 1189, 1244, 1304, 1349, 1376, 1521, 1553, 1661, 1729, 2010, 2026, 2305, 2452, 2947, 3146, 3191, 3197, 3500, 3747, 3754, 3800, 4207, 4447, 4757, 4916, 5340, 5872, 6174, 6255, 6258, 7938, 9765, 16173, 17970, 20518, 25799, 39570, 109383 ]

3

[ 0, 3, 32, 15, 49, 9, 23, 8, 21, 13, 8, 26, 9, 38, 34, 143, 21, 181, 32, 127, 1, 25, 196, 53, 63, 59, 55, 60, 45, 27, 145, 32, 108, 68, 281, 16, 279, 147, 495, 199, 45, 6, 303, 247, 7, 46, 407, 240, 310, 159, 424, 532, 302, 81, 3, 1680, 1827, 6408, 1797, 2548, 5281, 13771, 69813 ]

63

8,571

[ 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1 ]

[ 0, 18, 31, 31, 31, 39, 124, 143, 209, 227, 238, 289, 294, 315, 503, 670, 710, 799, 906, 998, 1010, 1347, 1621, 1761, 1787, 2072, 2212, 2349, 2412, 2545, 2603, 3235, 3543, 3555, 3795, 4096, 4196, 4633, 4645, 4654, 4963, 4964, 5174, 5238, 5294, 5388, 6188, 6434, 6968, 7076, 7360, 9783, 10254, 10313, 10477, 12198, 12953, 13603, 13693, 25467, 29181, 30454, 33069, 45628, 53126, 60755, 72197 ]

3

[ 0, 18, 13, 0, 0, 8, 85, 19, 66, 18, 11, 51, 5, 21, 188, 167, 40, 89, 107, 92, 12, 337, 274, 140, 26, 285, 140, 137, 63, 133, 58, 632, 308, 12, 240, 301, 100, 437, 12, 9, 309, 1, 210, 64, 56, 94, 800, 246, 534, 108, 284, 2423, 471, 59, 164, 1721, 755, 650, 90, 11774, 3714, 1273, 2615, 12559, 7498, 7629, 11442 ]

67

8,572

[ 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0 ]

[ 0, 1, 1, 4, 4, 5, 5, 8, 11, 13, 15, 17, 20, 23, 24, 25, 25, 26, 27, 27, 27, 29, 29, 31, 31, 32, 33, 33, 34, 34, 35, 35, 35, 36, 37, 39, 41, 41, 41, 43, 43, 43, 45, 47, 47, 48, 48, 48, 50, 50, 51, 51, 52, 52, 52, 53, 56, 56, 57, 58, 59, 59, 59, 60, 60, 60, 61, 62, 63, 65, 67, 67, 69, 69, 70, 70, 71, 73, 73, 73, 75, 76, 77, 77, 78, 78, 79, 80, 81, 81, 82, 83, 83, 84, 84, 85, 86, 86, 87, 88, 90, 91, 93, 96, 98, 100, 103, 104, 106, 110, 111, 112, 115, 120, 121, 132, 138, 143, 154, 157, 161, 163, 164, 167, 167, 170, 171, 171, 171, 181, 185, 186, 192, 194, 197, 203, 203, 210, 214, 218, 219, 243, 245, 249, 265, 282, 285, 291, 331, 332, 338, 345, 368, 376, 387, 396, 420, 448, 456, 459, 469, 474, 498, 586, 635, 649, 697, 724, 743, 767, 767, 767, 788, 789, 827, 911, 922, 1000, 1045, 1113, 1149, 1151, 1378, 1415, 1504, 1593, 1618, 1736, 1947, 2078, 2583, 2880, 3338, 3662, 4024, 4151, 5831, 6037, 6591, 6761, 8252, 9956, 10103, 10379, 10513, 10539, 10584, 10606, 11479, 11571, 12498, 27284, 56209, 56723, 58299, 142306, 142538, 142666, 271697, 271750, 272650 ]

3

[ 0, 1, 0, 3, 0, 1, 0, 3, 3, 2, 2, 2, 3, 3, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 3, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 3, 2, 2, 3, 1, 2, 4, 1, 1, 3, 5, 1, 11, 6, 5, 11, 3, 4, 2, 1, 3, 0, 3, 1, 0, 0, 10, 4, 1, 6, 2, 3, 6, 0, 7, 4, 4, 1, 24, 2, 4, 16, 17, 3, 6, 40, 1, 6, 7, 23, 8, 11, 9, 24, 28, 8, 3, 10, 5, 24, 88, 49, 14, 48, 27, 19, 24, 0, 0, 21, 1, 38, 84, 11, 78, 45, 68, 36, 2, 227, 37, 89, 89, 25, 118, 211, 131, 505, 297, 458, 324, 362, 127, 1680, 206, 554, 170, 1491, 1704, 147, 276, 134, 26, 45, 22, 873, 92, 927, 14786, 28925, 514, 1576, 84007, 232, 128, 129031, 53, 900 ]

221

8,573

[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1 ]

[ 0, 11, 15, 33, 34, 36, 40, 43, 44, 47, 48, 50, 54, 59, 61, 63, 66, 71, 73, 73, 80, 81, 82, 82, 88, 94, 95, 95, 101, 102, 103, 103, 104, 115, 116, 118, 120, 131, 133, 135, 136, 138, 139, 142, 146, 147, 150, 173, 237, 239, 246, 249, 252, 255, 255, 264, 274, 292, 292, 299, 313, 319, 324, 330, 352, 354, 372, 402, 453, 465, 478, 499, 527, 581, 586, 593, 596, 620, 637, 728, 728, 754, 761, 842, 891, 935, 965, 1012, 1090, 1163, 1251, 1292, 1381, 1439, 1452, 1453, 1482, 1523, 1535, 1672, 1675, 1699, 1922, 1989, 2058, 2061, 2096, 2128, 2299, 2667, 2814, 2962, 3011, 3146, 3247, 3586, 3592, 3976, 3995, 4309, 4577, 5322, 5625, 6731, 7423, 7535, 15823, 16454, 28924, 32679, 41576, 45518, 54909, 67858, 67873, 67875, 67994, 68156, 68174, 68289, 68423, 68670, 69011, 71614, 168941, 532067 ]

3

[ 0, 11, 4, 18, 1, 2, 4, 3, 1, 3, 1, 2, 4, 5, 2, 2, 3, 5, 2, 0, 7, 1, 1, 0, 6, 6, 1, 0, 6, 1, 1, 0, 1, 11, 1, 2, 2, 11, 2, 2, 1, 2, 1, 3, 4, 1, 3, 23, 64, 2, 7, 3, 3, 3, 0, 9, 10, 18, 0, 7, 14, 6, 5, 6, 22, 2, 18, 30, 51, 12, 13, 21, 28, 54, 5, 7, 3, 24, 17, 91, 0, 26, 7, 81, 49, 44, 30, 47, 78, 73, 88, 41, 89, 58, 13, 1, 29, 41, 12, 137, 3, 24, 223, 67, 69, 3, 35, 32, 171, 368, 147, 148, 49, 135, 101, 339, 6, 384, 19, 314, 268, 745, 303, 1106, 692, 112, 8288, 631, 12470, 3755, 8897, 3942, 9391, 12949, 15, 2, 119, 162, 18, 115, 134, 247, 341, 2603, 97327, 363126 ]

146

8,574

[ 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0 ]

[ 0, 7, 18, 28, 39, 52, 53, 65, 65, 123, 162, 179, 181, 182, 214, 240, 241, 254, 258, 286, 303, 311, 350, 367, 368, 388, 411, 421, 444, 581, 614, 616, 719, 847, 956, 1118, 1189, 1270, 1274, 1297, 1386, 1410, 1424, 1432, 1470, 1483, 1487, 1570, 1630, 1999, 2053, 2761, 2811, 3393, 3500, 3664, 19795, 31773, 31872, 31879, 31885, 31900, 31936, 32074 ]

3

[ 0, 7, 11, 10, 11, 13, 1, 12, 0, 58, 39, 17, 2, 1, 32, 26, 1, 13, 4, 28, 17, 8, 39, 17, 1, 20, 23, 10, 23, 137, 33, 2, 103, 128, 109, 162, 71, 81, 4, 23, 89, 24, 14, 8, 38, 13, 4, 83, 60, 369, 54, 708, 50, 582, 107, 164, 16131, 11978, 99, 7, 6, 15, 36, 138 ]

64

8,575

[ 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1 ]

[ 0, 5, 14, 21, 23, 25, 26, 26, 34, 37, 38, 39, 39, 44, 44, 54, 56, 57, 60, 61, 61, 68, 69, 70, 71, 77, 80, 83, 84, 86, 89, 91, 92, 92, 100, 103, 110, 116, 122, 125, 128, 131, 136, 138, 139, 144, 147, 152, 154, 158, 162, 166, 173, 176, 184, 196, 199, 202, 207, 207, 208, 223, 225, 226, 259, 286, 314, 326, 358, 368, 371, 380, 396, 402, 403, 406, 412, 462, 476, 480, 495, 497, 504, 505, 507, 525, 527, 538, 540, 566, 570, 574, 577, 589, 592, 627, 634, 636, 636, 663, 725, 737, 754, 767, 777, 786, 793, 804, 827, 837, 849, 855, 868, 878, 885, 894, 901, 901, 908, 921, 925, 969, 970, 981, 987, 1009, 1035, 1049, 1096, 1099, 1100, 1102, 1113, 1154, 1213, 1224, 1259, 1262, 1262, 1328, 1371, 1393, 1399, 1435, 1447, 1503, 1506, 1533, 1553, 1569, 1571, 1585, 1590, 1595, 1630, 1632, 1644, 1651, 1682, 1702, 1724, 1895, 1899, 1928, 1956, 1957, 2149, 2233, 2234, 2296, 2311, 2334, 2353, 2364, 2540, 2547, 2561, 2578, 2616, 2658, 2717, 2743, 2900, 2926, 3014, 3049, 3077, 3084, 3194, 3349, 3381, 3485, 3488, 3511, 3525, 3561, 3575, 3596, 3599, 3662, 3717, 3730, 3750, 3993, 4151, 4151, 4301, 4390, 4458, 4981, 5107, 5555, 5744, 5871, 5949, 5992, 6090, 6160, 6251, 6358, 6454, 6531, 6766, 6974, 9517, 9533, 10870, 12736, 12787, 13009, 13047, 13082, 13094, 13109, 13275, 13310, 13366, 14342, 22952, 23170, 23256, 23308, 25251, 43647, 70494, 70519, 102006 ]

3

[ 0, 5, 9, 7, 2, 2, 1, 0, 8, 3, 1, 1, 0, 5, 0, 10, 2, 1, 3, 1, 0, 7, 1, 1, 1, 6, 3, 3, 1, 2, 3, 2, 1, 0, 8, 3, 7, 6, 6, 3, 3, 3, 5, 2, 1, 5, 3, 5, 2, 4, 4, 4, 7, 3, 8, 12, 3, 3, 5, 0, 1, 15, 2, 1, 33, 27, 28, 12, 32, 10, 3, 9, 16, 6, 1, 3, 6, 50, 14, 4, 15, 2, 7, 1, 2, 18, 2, 11, 2, 26, 4, 4, 3, 12, 3, 35, 7, 2, 0, 27, 62, 12, 17, 13, 10, 9, 7, 11, 23, 10, 12, 6, 13, 10, 7, 9, 7, 0, 7, 13, 4, 44, 1, 11, 6, 22, 26, 14, 47, 3, 1, 2, 11, 41, 59, 11, 35, 3, 0, 66, 43, 22, 6, 36, 12, 56, 3, 27, 20, 16, 2, 14, 5, 5, 35, 2, 12, 7, 31, 20, 22, 171, 4, 29, 28, 1, 192, 84, 1, 62, 15, 23, 19, 11, 176, 7, 14, 17, 38, 42, 59, 26, 157, 26, 88, 35, 28, 7, 110, 155, 32, 104, 3, 23, 14, 36, 14, 21, 3, 63, 55, 13, 20, 243, 158, 0, 150, 89, 68, 523, 126, 448, 189, 127, 78, 43, 98, 70, 91, 107, 96, 77, 235, 208, 2543, 16, 1337, 1866, 51, 222, 38, 35, 12, 15, 166, 35, 56, 976, 8610, 218, 86, 52, 1943, 18396, 26847, 25, 31487 ]

247

8,576

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0 ]

[ 0, 0, 17, 18, 32, 39, 40, 66, 100, 109, 141, 144, 146, 176, 277, 311, 353, 427, 455, 473, 496, 522, 542, 565, 705, 754, 1005, 1069, 1351, 1380, 1398, 1499, 1553, 1636, 1802, 1834, 1946, 2157, 2327, 2346, 2484, 3513, 4091, 6692, 7320, 9206, 10369, 10987, 11170, 11481, 11502, 16182, 17948, 18488, 18783, 42324, 45916, 47877, 82161, 82171, 91435 ]

3

[ 0, 0, 17, 1, 14, 7, 1, 26, 34, 9, 32, 3, 2, 30, 101, 34, 42, 74, 28, 18, 23, 26, 20, 23, 140, 49, 251, 64, 282, 29, 18, 101, 54, 83, 166, 32, 112, 211, 170, 19, 138, 1029, 578, 2601, 628, 1886, 1163, 618, 183, 311, 21, 4680, 1766, 540, 295, 23541, 3592, 1961, 34284, 10, 9264 ]

61

8,577

[ 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1 ]

[ 0, 4, 4, 4, 6, 7, 10, 13, 15, 15, 15, 16, 17, 19, 19, 20, 21, 23, 23, 24, 25, 29, 29, 29, 30, 31, 33, 37, 40, 42, 43, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 57, 58, 59, 60, 60, 61, 61, 62, 62, 62, 63, 64, 64, 65, 65, 65, 65, 66, 67, 68, 68, 71, 74, 77, 77, 81, 81, 82, 82, 84, 84, 84, 85, 86, 87, 89, 89, 93, 94, 94, 96, 98, 98, 100, 100, 102, 109, 117, 117, 119, 123, 124, 127, 128, 130, 133, 136, 144, 146, 147, 152, 152, 154, 155, 155, 156, 163, 164, 168, 169, 169, 171, 174, 178, 181, 185, 185, 194, 198, 206, 209, 211, 219, 221, 224, 225, 228, 237, 239, 303, 326, 333, 353, 364, 366, 367, 404, 451, 480, 501, 510, 513, 528, 628, 629, 679, 800, 913, 921, 944, 958, 1217, 1309, 1322, 1361, 1632, 1648, 1748, 1795, 1827, 1912, 1971, 2090, 2241, 2339, 4110, 4153, 4549, 5084, 5804, 6720, 6984, 6999, 11395, 13425, 29671, 41122, 47963, 48707, 49030, 52262, 53741, 58263, 62851, 71866, 76499, 76663, 83452, 87785, 88717, 89269, 90580, 131941, 147472, 158710, 164581, 256876 ]

3

[ 0, 4, 0, 0, 2, 1, 3, 3, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 4, 0, 0, 1, 1, 2, 4, 3, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 3, 3, 3, 0, 4, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 4, 1, 0, 2, 2, 0, 2, 0, 2, 7, 8, 0, 2, 4, 1, 3, 1, 2, 3, 3, 8, 2, 1, 5, 0, 2, 1, 0, 1, 7, 1, 4, 1, 0, 2, 3, 4, 3, 4, 0, 9, 4, 8, 3, 2, 8, 2, 3, 1, 3, 9, 2, 64, 23, 7, 20, 11, 2, 1, 37, 47, 29, 21, 9, 3, 15, 100, 1, 50, 121, 113, 8, 23, 14, 259, 92, 13, 39, 271, 16, 100, 47, 32, 85, 59, 119, 151, 98, 1771, 43, 396, 535, 720, 916, 264, 15, 4396, 2030, 16246, 11451, 6841, 744, 323, 3232, 1479, 4522, 4588, 9015, 4633, 164, 6789, 4333, 932, 552, 1311, 41361, 15531, 11238, 5871, 92295 ]

198

8,578

[ 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1 ]

[ 0, 2, 4, 12, 16, 17, 18, 19, 19, 20, 22, 31, 31, 32, 33, 33, 36, 38, 46, 56, 75, 77, 81, 82, 93, 94, 95, 106, 116, 129, 129, 134, 140, 146, 154, 156, 162, 173, 174, 176, 183, 194, 203, 204, 221, 240, 246, 255, 276, 294, 295, 300, 312, 321, 324, 339, 341, 351, 354, 374, 400, 407, 421, 430, 451, 465, 490, 504, 614, 650, 663, 689, 699, 779, 799, 827, 840, 855, 858, 992, 994, 1057, 1087, 1102, 1204, 1391, 1395, 1470, 1507, 1521, 1585, 1666, 1767, 1957, 2097, 2214, 2220, 2232, 2636, 2781, 3187, 3203, 3287, 3290, 3487, 3689, 3749, 3749, 3749, 3749, 4904, 5301, 6460, 6483, 6513, 6522, 6583, 7773, 8864, 9302, 10886, 11028, 12002, 12670, 13186, 13500, 16366, 20053, 26653, 31380, 34840, 36855, 42356, 57056 ]

3

[ 0, 2, 2, 8, 4, 1, 1, 1, 0, 1, 2, 9, 0, 1, 1, 0, 3, 2, 8, 10, 19, 2, 4, 1, 11, 1, 1, 11, 10, 13, 0, 5, 6, 6, 8, 2, 6, 11, 1, 2, 7, 11, 9, 1, 17, 19, 6, 9, 21, 18, 1, 5, 12, 9, 3, 15, 2, 10, 3, 20, 26, 7, 14, 9, 21, 14, 25, 14, 110, 36, 13, 26, 10, 80, 20, 28, 13, 15, 3, 134, 2, 63, 30, 15, 102, 187, 4, 75, 37, 14, 64, 81, 101, 190, 140, 117, 6, 12, 404, 145, 406, 16, 84, 3, 197, 202, 60, 0, 0, 0, 1155, 397, 1159, 23, 30, 9, 61, 1190, 1091, 438, 1584, 142, 974, 668, 516, 314, 2866, 3687, 6600, 4727, 3460, 2015, 5501, 14700 ]

134

8,579

[ 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0 ]

[ 0, 9, 12, 13, 18, 26, 30, 38, 44, 48, 50, 63, 76, 116, 117, 130, 179, 248, 272, 275, 292, 314, 343, 370, 436, 560, 741, 783, 822, 938, 1088, 1110, 1146, 1150, 1531, 1572, 1985, 2057, 2076, 2727, 2883, 2987, 3238, 4978, 5646, 6124, 6298, 6343, 8415, 9205, 10668, 12329, 12552, 13321, 14506, 15453, 18987, 19927, 21576, 21589, 21921, 23463, 25724, 26079, 38626, 41150, 64213, 72755, 76400, 199263, 410161 ]

3

[ 0, 9, 3, 1, 5, 8, 4, 8, 6, 4, 2, 13, 13, 40, 1, 13, 49, 69, 24, 3, 17, 22, 29, 27, 66, 124, 181, 42, 39, 116, 150, 22, 36, 4, 381, 41, 413, 72, 19, 651, 156, 104, 251, 1740, 668, 478, 174, 45, 2072, 790, 1463, 1661, 223, 769, 1185, 947, 3534, 940, 1649, 13, 332, 1542, 2261, 355, 12547, 2524, 23063, 8542, 3645, 122863, 210898 ]

71

8,580

[ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1 ]

[ 0, 4, 8, 10, 11, 17, 17, 34, 34, 46, 50, 55, 58, 66, 76, 96, 98, 103, 125, 147, 159, 165, 179, 180, 183, 187, 197, 198, 200, 202, 211, 217, 219, 226, 239, 250, 257, 257, 262, 273, 275, 299, 316, 332, 343, 452, 492, 502, 526, 554, 565, 600, 872, 955, 1162, 1264, 1291, 1457, 1475, 1880, 1959, 1969, 2325, 2733, 3547, 4017, 4759, 23874 ]

3

[ 0, 4, 4, 2, 1, 6, 0, 17, 0, 12, 4, 5, 3, 8, 10, 20, 2, 5, 22, 22, 12, 6, 14, 1, 3, 4, 10, 1, 2, 2, 9, 6, 2, 7, 13, 11, 7, 0, 5, 11, 2, 24, 17, 16, 11, 109, 40, 10, 24, 28, 11, 35, 272, 83, 207, 102, 27, 166, 18, 405, 79, 10, 356, 408, 814, 470, 742, 19115 ]

68

8,581

[ 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]

[ 0, 4, 22, 29, 43, 44, 52, 57, 87, 92, 163, 171, 186, 200, 217, 225, 228, 231, 235, 251, 253, 258, 269, 281, 284, 295, 332, 351, 393, 448, 495, 505, 527, 537, 562, 569, 570, 583, 589, 595, 599, 615, 625, 629, 651, 682, 683, 859, 904, 922, 1010, 1012, 2044, 2068, 2101, 2178, 2470, 2660, 4871, 5041, 6819, 9014, 34428, 36514, 38117, 38290, 38436, 47840, 67547, 71142, 71180, 71185, 71188, 71202, 71203, 71207, 71209, 71216, 71236, 71240, 71242, 71251, 71263, 71263, 71265, 71270, 71272, 71274, 71287, 71288, 71289, 71307, 71308, 71325, 71330, 71340, 71344, 71355, 71362, 71371, 71372, 71406, 71409, 71409, 71456, 71467, 71506, 71530, 71617, 71688, 71828, 71841, 71864, 72004, 72139, 72570, 72596, 73466, 85336, 100320, 131685, 139932, 140578, 159733, 321228, 490421, 513432, 513479, 516023, 516089, 516130, 516240 ]

3

[ 0, 4, 18, 7, 14, 1, 8, 5, 30, 5, 71, 8, 15, 14, 17, 8, 3, 3, 4, 16, 2, 5, 11, 12, 3, 11, 37, 19, 42, 55, 47, 10, 22, 10, 25, 7, 1, 13, 6, 6, 4, 16, 10, 4, 22, 31, 1, 176, 45, 18, 88, 2, 1032, 24, 33, 77, 292, 190, 2211, 170, 1778, 2195, 25414, 2086, 1603, 173, 146, 9404, 19707, 3595, 38, 5, 3, 14, 1, 4, 2, 7, 20, 4, 2, 9, 12, 0, 2, 5, 2, 2, 13, 1, 1, 18, 1, 17, 5, 10, 4, 11, 7, 9, 1, 34, 3, 0, 47, 11, 39, 24, 87, 71, 140, 13, 23, 140, 135, 431, 26, 870, 11870, 14984, 31365, 8247, 646, 19155, 161495, 169193, 23011, 47, 2544, 66, 41, 110 ]

132

8,582

[ 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1 ]

[ 0, 343, 350, 397, 433, 486, 1783, 2888, 2930, 2955, 2985, 2985, 3006, 3025, 3057, 3215, 3225, 3339, 3346, 3349, 3405, 3488, 3618, 3771, 4279, 5576, 5643, 5682, 5717, 5998, 6021, 6032, 6124, 6220, 6276, 6329, 6565, 6826, 6866, 6872, 6893, 6901, 6917, 6917, 6988, 6997, 7061, 7067, 7128, 7154, 7166, 7228, 7234, 7298, 7326, 7345, 7377, 7378, 7405, 7414, 7453, 7520, 7613, 7720, 7798, 7855, 8045, 8102, 8105, 8134, 8421, 8469, 8619, 8725, 8874, 9705, 9980, 10162, 10193, 10268, 10394, 10497, 10507, 10620, 10940, 11070, 11133, 11232, 11641, 11818, 12057, 12128, 12330, 12422, 12916, 13251, 13360, 13602, 13628, 13881, 13908, 13977, 14613, 14859, 14998, 15178, 15322, 15369, 15582, 16077, 16630, 16723, 16765, 17564, 17580, 18110, 18721, 19624, 19790, 20134, 21038, 21391, 22217, 22599, 22724, 23123, 23266, 25231, 26482, 27011, 32709, 48925, 49326, 52657, 53135, 95131, 95884, 99280, 99561, 104757, 104875, 105956, 108009 ]

3

[ 0, 343, 7, 47, 36, 53, 1297, 1105, 42, 25, 30, 0, 21, 19, 32, 158, 10, 114, 7, 3, 56, 83, 130, 153, 508, 1297, 67, 39, 35, 281, 23, 11, 92, 96, 56, 53, 236, 261, 40, 6, 21, 8, 16, 0, 71, 9, 64, 6, 61, 26, 12, 62, 6, 64, 28, 19, 32, 1, 27, 9, 39, 67, 93, 107, 78, 57, 190, 57, 3, 29, 287, 48, 150, 106, 149, 831, 275, 182, 31, 75, 126, 103, 10, 113, 320, 130, 63, 99, 409, 177, 239, 71, 202, 92, 494, 335, 109, 242, 26, 253, 27, 69, 636, 246, 139, 180, 144, 47, 213, 495, 553, 93, 42, 799, 16, 530, 611, 903, 166, 344, 904, 353, 826, 382, 125, 399, 143, 1965, 1251, 529, 5698, 16216, 401, 3331, 478, 41996, 753, 3396, 281, 5196, 118, 1081, 2053 ]

143

8,583

[ 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0 ]

[ 0, 1, 6, 7, 9, 14, 17, 19, 19, 21, 27, 28, 29, 32, 32, 34, 34, 37, 37, 38, 39, 39, 44, 44, 109, 112, 113, 116, 121, 128, 128, 151, 157, 169, 180, 184, 188, 189, 199, 205, 208, 212, 213, 215, 226, 230, 231, 245, 246, 321, 337, 342, 354, 441, 529, 543, 569, 582, 587, 596, 602, 796, 878, 911, 915, 919, 935, 965, 967, 1039, 1063, 1445, 1462, 1652, 1896, 3371, 3493, 3537, 3818, 3862, 3973, 4022, 4041, 5705, 6066, 6214, 8207, 8566, 8605, 12805, 12950, 17994, 25130, 30523, 35825, 35843, 38545, 40531, 41350, 43765, 46544, 52293, 60766, 80769, 87465, 105291, 151893, 199273, 221656, 371269, 489460 ]

3

[ 0, 1, 5, 1, 2, 5, 3, 2, 0, 2, 6, 1, 1, 3, 0, 2, 0, 3, 0, 1, 1, 0, 5, 0, 65, 3, 1, 3, 5, 7, 0, 23, 6, 12, 11, 4, 4, 1, 10, 6, 3, 4, 1, 2, 11, 4, 1, 14, 1, 75, 16, 5, 12, 87, 88, 14, 26, 13, 5, 9, 6, 194, 82, 33, 4, 4, 16, 30, 2, 72, 24, 382, 17, 190, 244, 1475, 122, 44, 281, 44, 111, 49, 19, 1664, 361, 148, 1993, 359, 39, 4200, 145, 5044, 7136, 5393, 5302, 18, 2702, 1986, 819, 2415, 2779, 5749, 8473, 20003, 6696, 17826, 46602, 47380, 22383, 149613, 118191 ]

111

8,584

[ 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0 ]

[ 0, 326, 464, 558, 817, 1090, 1573, 1602, 1649, 1656, 1668, 1672, 1674, 1679, 1685, 1748, 1799, 1863, 1881, 1886, 1938, 1983, 2006, 2026, 2041, 2061, 2072, 2092, 2131, 2215, 2473, 2623, 2761, 2785, 2788, 3095, 3175, 3225, 3550, 4068, 4353, 5445, 8987, 10148, 10622, 10761, 12061, 15068, 15541, 16275, 49594, 69828, 92500 ]

3

[ 0, 326, 138, 94, 259, 273, 483, 29, 47, 7, 12, 4, 2, 5, 6, 63, 51, 64, 18, 5, 52, 45, 23, 20, 15, 20, 11, 20, 39, 84, 258, 150, 138, 24, 3, 307, 80, 50, 325, 518, 285, 1092, 3542, 1161, 474, 139, 1300, 3007, 473, 734, 33319, 20234, 22672 ]

53

8,585

[ 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ]

[ 0, 4, 14, 15, 16, 35, 41, 43, 44, 45, 47, 53, 58, 62, 62, 66, 87, 89, 99, 114, 115, 119, 172, 194, 202, 209, 254, 268, 284, 286, 319, 321, 330, 369, 382, 414, 425, 444, 454, 543, 572, 657, 663, 665, 744, 789, 883, 907, 1018, 1024, 1206, 1241, 1257, 1429, 1495, 1847, 1928, 2094, 2161, 2208, 2289, 2309, 2392, 2416, 2545, 2623, 3072, 3115, 3513, 3528, 4550, 5557, 5590, 7292, 7535, 9933, 10338, 11083, 12636, 19200, 30418, 46999, 63241, 86505, 89457, 91245, 129695, 150570, 185756, 255616, 289408, 336592, 514509 ]

3

[ 0, 4, 10, 1, 1, 19, 6, 2, 1, 1, 2, 6, 5, 4, 0, 4, 21, 2, 10, 15, 1, 4, 53, 22, 8, 7, 45, 14, 16, 2, 33, 2, 9, 39, 13, 32, 11, 19, 10, 89, 29, 85, 6, 2, 79, 45, 94, 24, 111, 6, 182, 35, 16, 172, 66, 352, 81, 166, 67, 47, 81, 20, 83, 24, 129, 78, 449, 43, 398, 15, 1022, 1007, 33, 1702, 243, 2398, 405, 745, 1553, 6564, 11218, 16581, 16242, 23264, 2952, 1788, 38450, 20875, 35186, 69860, 33792, 47184, 177917 ]

93

8,586

[ 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0 ]

[ 0, 21, 27, 37, 41, 45, 55, 57, 64, 64, 68, 87, 87, 89, 90, 99, 102, 103, 107, 113, 114, 117, 159, 187, 198, 213, 225, 231, 251, 263, 326, 334, 374, 398, 410, 456, 501, 508, 595, 734, 803, 851, 930, 1093, 1110, 1206, 1246, 1289, 1301, 1457, 1849, 1871, 1906, 1986, 2370, 2461, 3083, 3224, 3490, 3715, 3759, 4004, 4383, 4653, 5029, 5670, 5744, 5993, 6182, 6297, 6493, 6867, 6953, 7349, 7596, 7720, 8489, 9131, 9153, 9363, 9496, 9598, 9863, 10073, 10196, 10421, 10819, 10891, 10923, 11322, 11777, 12672, 13077, 13304, 13336, 13725, 14182, 14592, 14694, 14816, 15447, 15712, 15763, 15793, 16646, 16902, 18561, 18764, 20052, 20064, 20148, 20246, 20358, 20370, 20429, 20610, 20907, 20977, 21086, 21122, 21274, 21552, 21896, 21916, 22061, 22753, 23434, 23882, 24275, 25618, 26837, 26885, 27379, 27924, 28007, 28176, 30929, 31901, 32867, 34119, 35219, 36505, 53487, 72479, 78745, 84403, 84964, 92512, 97815, 118620, 125088, 126554, 128402, 150028, 154907, 159582, 355592 ]

3

[ 0, 21, 6, 10, 4, 4, 10, 2, 7, 0, 4, 19, 0, 2, 1, 9, 3, 1, 4, 6, 1, 3, 42, 28, 11, 15, 12, 6, 20, 12, 63, 8, 40, 24, 12, 46, 45, 7, 87, 139, 69, 48, 79, 163, 17, 96, 40, 43, 12, 156, 392, 22, 35, 80, 384, 91, 622, 141, 266, 225, 44, 245, 379, 270, 376, 641, 74, 249, 189, 115, 196, 374, 86, 396, 247, 124, 769, 642, 22, 210, 133, 102, 265, 210, 123, 225, 398, 72, 32, 399, 455, 895, 405, 227, 32, 389, 457, 410, 102, 122, 631, 265, 51, 30, 853, 256, 1659, 203, 1288, 12, 84, 98, 112, 12, 59, 181, 297, 70, 109, 36, 152, 278, 344, 20, 145, 692, 681, 448, 393, 1343, 1219, 48, 494, 545, 83, 169, 2753, 972, 966, 1252, 1100, 1286, 16982, 18992, 6266, 5658, 561, 7548, 5303, 20805, 6468, 1466, 1848, 21626, 4879, 4675, 196010 ]

157

8,587

[ 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2 ]

[ 0, 14, 16, 21, 30, 38, 44, 46, 52, 64, 65, 80, 81, 82, 83, 92, 105, 112, 117, 117, 125, 135, 140, 143, 145, 169, 170, 204, 233, 246, 265, 268, 275, 277, 279, 282, 355, 366, 397, 434, 444, 450, 454, 460, 468, 470, 480, 482, 492, 496, 508, 529, 539, 613, 630, 709, 730, 732, 746, 749, 793, 799, 815, 856, 857, 869, 980, 1029, 1124, 1327, 1329, 1349, 1362, 1382, 1406, 1470, 1524, 1541, 1567, 1671, 1735, 1741, 1754, 1756, 1764, 1974, 2046, 2092, 2157, 2288, 2578, 2620, 2838, 3014, 3019, 3137, 3192, 3255, 3392, 3657, 3703, 3846, 4136, 4756, 4771, 5569, 8755, 12376, 17419, 29110, 36412, 45032 ]

3

[ 0, 14, 2, 5, 9, 8, 6, 2, 6, 12, 1, 15, 1, 1, 1, 9, 13, 7, 5, 0, 8, 10, 5, 3, 2, 24, 1, 34, 29, 13, 19, 3, 7, 2, 2, 3, 73, 11, 31, 37, 10, 6, 4, 6, 8, 2, 10, 2, 10, 4, 12, 21, 10, 74, 17, 79, 21, 2, 14, 3, 44, 6, 16, 41, 1, 12, 111, 49, 95, 203, 2, 20, 13, 20, 24, 64, 54, 17, 26, 104, 64, 6, 13, 2, 8, 210, 72, 46, 65, 131, 290, 42, 218, 176, 5, 118, 55, 63, 137, 265, 46, 143, 290, 620, 15, 798, 3186, 3621, 5043, 11691, 7302, 8620 ]

112

8,588

[ 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 1, 2, 11, 18, 24, 28, 29, 36, 51, 52, 52, 57, 64, 71, 71, 85, 92, 96, 101, 104, 117, 124, 128, 137, 138, 169, 226, 236, 243, 265, 270, 316, 336, 338, 364, 370, 375, 401, 420, 424, 431, 443, 568, 577, 597, 603, 612, 638, 658, 675, 817, 992, 999, 1018, 1330, 1504, 1582, 1810, 2346, 2528, 2663, 3091, 3239, 3380, 4018, 5461, 5929, 6726, 10917, 11392, 12117, 14573, 15173, 16218, 18921, 27324, 37648, 82757, 83673, 95787, 98681, 106119, 106958, 191573, 198577, 253166, 277746, 278146, 551266 ]

3

[ 0, 1, 1, 9, 7, 6, 4, 1, 7, 15, 1, 0, 5, 7, 7, 0, 14, 7, 4, 5, 3, 13, 7, 4, 9, 1, 31, 57, 10, 7, 22, 5, 46, 20, 2, 26, 6, 5, 26, 19, 4, 7, 12, 125, 9, 20, 6, 9, 26, 20, 17, 142, 175, 7, 19, 312, 174, 78, 228, 536, 182, 135, 428, 148, 141, 638, 1443, 468, 797, 4191, 475, 725, 2456, 600, 1045, 2703, 8403, 10324, 45109, 916, 12114, 2894, 7438, 839, 84615, 7004, 54589, 24580, 400, 273120 ]

90

8,589

[ 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0 ]

[ 0, 40, 74, 79, 196, 209, 322, 398, 449, 535, 721, 834, 984, 1362, 2420, 2428, 2616, 2914, 4024, 4094, 4425, 4465, 4631, 5648, 6217, 6223, 6472, 6502, 6603, 6847, 6966, 7741, 8221, 8326, 8985, 9182, 9230, 9455, 9723, 10582, 11466, 11631, 11673, 12077, 13060, 13361, 13535, 16480, 20016, 20680, 22256, 22380, 22495, 22565, 22863, 23710, 24920, 25509, 33412, 36824, 36915, 37845, 38108, 102700, 298327 ]

3

[ 0, 40, 34, 5, 117, 13, 113, 76, 51, 86, 186, 113, 150, 378, 1058, 8, 188, 298, 1110, 70, 331, 40, 166, 1017, 569, 6, 249, 30, 101, 244, 119, 775, 480, 105, 659, 197, 48, 225, 268, 859, 884, 165, 42, 404, 983, 301, 174, 2945, 3536, 664, 1576, 124, 115, 70, 298, 847, 1210, 589, 7903, 3412, 91, 930, 263, 64592, 195627 ]

65

8,590

[ 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0 ]

[ 0, 83, 102, 146, 274, 295, 339, 369, 426, 464, 518, 532, 564, 570, 617, 668, 882, 911, 934, 948, 1176, 1302, 1512, 1597, 1607, 1730, 1832, 1905, 2218, 2246, 2455, 2705, 2711, 3038, 3230, 6463, 6820, 6832, 7179, 7263, 7443, 7454, 7455, 7603, 7770, 7809, 8129, 8138, 8151, 8482, 8552, 8944, 8951, 9039, 9238, 9356, 9402, 10621, 10685, 10889, 11568, 12238, 12789, 12882, 12942, 14127, 14153, 14879, 14976, 15353, 15443, 16032, 16614, 16685, 16809, 20091, 20415 ]

3

[ 0, 83, 19, 44, 128, 21, 44, 30, 57, 38, 54, 14, 32, 6, 47, 51, 214, 29, 23, 14, 228, 126, 210, 85, 10, 123, 102, 73, 313, 28, 209, 250, 6, 327, 192, 3233, 357, 12, 347, 84, 180, 11, 1, 148, 167, 39, 320, 9, 13, 331, 70, 392, 7, 88, 199, 118, 46, 1219, 64, 204, 679, 670, 551, 93, 60, 1185, 26, 726, 97, 377, 90, 589, 582, 71, 124, 3282, 324 ]

77

8,591

[ 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2 ]

[ 0, 1828, 1903, 2131, 2178, 2226, 2251, 2259, 2336, 2343, 2415, 2456, 2607, 2676, 2708, 2943, 2985, 3119, 3212, 3395, 4008, 4291, 4327, 4903, 5323, 5328, 5559, 5572, 5693, 5927, 5987, 6072, 6153, 6193, 6243, 6328, 6404, 6435, 6597, 6608, 6676, 6834, 6994, 7063, 7156, 7176, 7186, 7327, 7600, 7602, 7663, 7669, 7897, 8084, 8088, 8119, 8254, 8398, 8511, 9197, 9311, 20637, 20704, 20950, 24425, 25266, 27083, 31642, 31737, 32752, 33092, 33737, 39358, 46179, 47006, 50535, 57388, 65844, 87731, 88510, 91098 ]

3

[ 0, 1828, 75, 228, 47, 48, 25, 8, 77, 7, 72, 41, 151, 69, 32, 235, 42, 134, 93, 183, 613, 283, 36, 576, 420, 5, 231, 13, 121, 234, 60, 85, 81, 40, 50, 85, 76, 31, 162, 11, 68, 158, 160, 69, 93, 20, 10, 141, 273, 2, 61, 6, 228, 187, 4, 31, 135, 144, 113, 686, 114, 11326, 67, 246, 3475, 841, 1817, 4559, 95, 1015, 340, 645, 5621, 6821, 827, 3529, 6853, 8456, 21887, 779, 2588 ]

81

8,592

[ 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 1, 5, 12, 21, 25, 45, 58, 63, 69, 79, 114, 128, 144, 146, 168, 229, 328, 447, 776, 817, 870, 1159, 1458, 3136, 3351, 5554, 5689, 8305, 8691, 8844, 9331, 10550, 12962, 13756, 16627, 18692, 19078, 19369, 20320, 21295, 28723, 28865, 28981, 29085, 29309, 31990, 40658, 40684, 40822, 41302, 43808, 43835, 43875, 43964, 43999, 44003, 44084, 44158, 44409, 44700, 44920, 46176, 46215, 46457, 46476, 46488, 46488, 53101, 61406, 89210, 121282, 169384, 202818, 223996, 224046, 224201 ]

3

[ 0, 1, 4, 7, 9, 4, 20, 13, 5, 6, 10, 35, 14, 16, 2, 22, 61, 99, 119, 329, 41, 53, 289, 299, 1678, 215, 2203, 135, 2616, 386, 153, 487, 1219, 2412, 794, 2871, 2065, 386, 291, 951, 975, 7428, 142, 116, 104, 224, 2681, 8668, 26, 138, 480, 2506, 27, 40, 89, 35, 4, 81, 74, 251, 291, 220, 1256, 39, 242, 19, 12, 0, 6613, 8305, 27804, 32072, 48102, 33434, 21178, 50, 155 ]

77

8,593

[ 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0 ]

[ 0, 214, 384, 422, 613, 1249, 1707, 3382, 3697, 3893, 3912, 3930, 3958, 3967, 3977, 3978, 3989, 4001, 4004, 4011, 4013, 4014, 4017, 4030, 4039, 4076, 4088, 4096, 4179, 4268, 4429, 4442, 4614, 4650, 4766, 5079, 5096, 5239, 5288, 5364, 5739, 6136, 6229, 7325, 7657, 8525, 8869, 8871, 8877, 9073, 9120, 9415, 9633, 9692, 9781, 9802, 9922, 10051, 10358, 10362, 10859, 11204, 11209, 11349, 11439, 11692, 11732, 11736, 11856, 12026, 12233, 12304, 12418, 12717, 13303, 13879, 16126, 17228, 17870, 19463, 21117, 22561, 22769, 22819, 23264, 23314, 23654, 23746, 24248, 24381, 24874, 25673, 25746, 25955, 26230, 26301, 26896, 27103, 27176, 29416, 30962, 35333, 41135, 46362, 65782, 67309, 70655, 71208, 71325, 71469, 74630, 75126, 76646, 77878, 81564, 85694, 86210, 90588, 91318, 91493, 92102, 92407, 92539, 93412, 94297, 98660, 101755, 103147, 103870, 114039, 118138, 121716, 170863, 170907, 278244, 296104, 327562, 343360, 460898 ]

3

[ 0, 214, 170, 38, 191, 636, 458, 1675, 315, 196, 19, 18, 28, 9, 10, 1, 11, 12, 3, 7, 2, 1, 3, 13, 9, 37, 12, 8, 83, 89, 161, 13, 172, 36, 116, 313, 17, 143, 49, 76, 375, 397, 93, 1096, 332, 868, 344, 2, 6, 196, 47, 295, 218, 59, 89, 21, 120, 129, 307, 4, 497, 345, 5, 140, 90, 253, 40, 4, 120, 170, 207, 71, 114, 299, 586, 576, 2247, 1102, 642, 1593, 1654, 1444, 208, 50, 445, 50, 340, 92, 502, 133, 493, 799, 73, 209, 275, 71, 595, 207, 73, 2240, 1546, 4371, 5802, 5227, 19420, 1527, 3346, 553, 117, 144, 3161, 496, 1520, 1232, 3686, 4130, 516, 4378, 730, 175, 609, 305, 132, 873, 885, 4363, 3095, 1392, 723, 10169, 4099, 3578, 49147, 44, 107337, 17860, 31458, 15798, 117538 ]

139

8,594

[ 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0 ]

[ 0, 6, 35, 40, 63, 85, 458, 476, 505, 506, 522, 632, 899, 1205, 1216, 1268, 1984, 2078, 2093, 2148, 2336, 2495, 2581, 3187, 4678, 5267, 5464, 5627, 6107, 7459, 8533, 8541, 8600, 9117, 10167, 10814, 11128, 11432, 11441, 11509, 14160, 15257, 16260, 21488, 21667, 24520, 25395, 25425, 39412, 49088, 49456, 53200, 53516, 53705, 53844, 53940, 64952, 65075, 65098, 65157, 65724, 80521, 85730, 85766, 85789, 85839, 89625, 94985, 103434, 109187, 236414, 236510, 255878, 265730, 315699, 335512, 344022, 576431, 583327 ]

3

[ 0, 6, 29, 5, 23, 22, 373, 18, 29, 1, 16, 110, 267, 306, 11, 52, 716, 94, 15, 55, 188, 159, 86, 606, 1491, 589, 197, 163, 480, 1352, 1074, 8, 59, 517, 1050, 647, 314, 304, 9, 68, 2651, 1097, 1003, 5228, 179, 2853, 875, 30, 13987, 9676, 368, 3744, 316, 189, 139, 96, 11012, 123, 23, 59, 567, 14797, 5209, 36, 23, 50, 3786, 5360, 8449, 5753, 127227, 96, 19368, 9852, 49969, 19813, 8510, 232409, 6896 ]

79

8,595

[ 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1 ]

[ 0, 2, 6, 11, 15, 16, 22, 22, 32, 32, 32, 32, 36, 41, 42, 51, 55, 73, 75, 87, 89, 93, 95, 97, 110, 141, 162, 171, 171, 176, 186, 198, 208, 258, 279, 284, 290, 313, 319, 343, 361, 397, 412, 420, 493, 506, 598, 632, 1558, 1648, 1842, 1945, 343082 ]

3

[ 0, 2, 4, 5, 4, 1, 6, 0, 10, 0, 0, 0, 4, 5, 1, 9, 4, 18, 2, 12, 2, 4, 2, 2, 13, 31, 21, 9, 0, 5, 10, 12, 10, 50, 21, 5, 6, 23, 6, 24, 18, 36, 15, 8, 73, 13, 92, 34, 926, 90, 194, 103, 341137 ]

53

8,596

[ 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0 ]

[ 0, 2, 3, 8, 13, 14, 19, 20, 20, 23, 24, 27, 29, 35, 37, 41, 43, 47, 47, 48, 50, 51, 52, 53, 53, 57, 60, 62, 62, 65, 68, 75, 77, 78, 78, 82, 84, 85, 91, 103, 104, 107, 114, 116, 118, 118, 124, 126, 137, 142, 144, 145, 145, 148, 148, 150, 164, 165, 168, 172, 174, 179, 181, 184, 188, 193, 193, 207, 207, 210, 226, 235, 239, 240, 244, 249, 258, 280, 289, 305, 313, 317, 333, 337, 345, 347, 349, 365, 368, 378, 382, 386, 391, 400, 406, 412, 412, 417, 444, 444, 454, 455, 459, 499, 517, 526, 548, 552, 599, 602, 631, 639, 648, 667, 742, 745, 747, 755, 758, 758, 767, 780, 799, 825, 840, 845, 846, 870, 873, 891, 911, 915, 915, 924, 931, 937, 958, 981, 1006, 1015, 1093, 1113, 1168, 1171, 1327, 1390, 1545, 1613, 1741, 1765, 1765, 1777, 1785, 1928, 1942, 1961, 1992, 2001, 2014, 2026, 2047, 2139, 2220, 2273, 2275, 2404, 2485, 2524, 2527, 2621, 2627, 2759, 2833, 2857, 2861, 2875, 3018, 3174, 3282, 3311, 3359, 3392, 3623, 3791, 4488, 4753, 4801, 4856, 4889, 5270, 5299, 5486, 6039, 6119, 6551, 8211, 8350, 8835, 9139, 9265, 10120, 10492, 10525, 22000, 22041, 22804, 29697, 29890, 30017, 32090, 34651, 35163, 41314, 76470 ]

3

[ 0, 2, 1, 5, 5, 1, 5, 1, 0, 3, 1, 3, 2, 6, 2, 4, 2, 4, 0, 1, 2, 1, 1, 1, 0, 4, 3, 2, 0, 3, 3, 7, 2, 1, 0, 4, 2, 1, 6, 12, 1, 3, 7, 2, 2, 0, 6, 2, 11, 5, 2, 1, 0, 3, 0, 2, 14, 1, 3, 4, 2, 5, 2, 3, 4, 5, 0, 14, 0, 3, 16, 9, 4, 1, 4, 5, 9, 22, 9, 16, 8, 4, 16, 4, 8, 2, 2, 16, 3, 10, 4, 4, 5, 9, 6, 6, 0, 5, 27, 0, 10, 1, 4, 40, 18, 9, 22, 4, 47, 3, 29, 8, 9, 19, 75, 3, 2, 8, 3, 0, 9, 13, 19, 26, 15, 5, 1, 24, 3, 18, 20, 4, 0, 9, 7, 6, 21, 23, 25, 9, 78, 20, 55, 3, 156, 63, 155, 68, 128, 24, 0, 12, 8, 143, 14, 19, 31, 9, 13, 12, 21, 92, 81, 53, 2, 129, 81, 39, 3, 94, 6, 132, 74, 24, 4, 14, 143, 156, 108, 29, 48, 33, 231, 168, 697, 265, 48, 55, 33, 381, 29, 187, 553, 80, 432, 1660, 139, 485, 304, 126, 855, 372, 33, 11475, 41, 763, 6893, 193, 127, 2073, 2561, 512, 6151, 35156 ]

214

8,597

[ 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0 ]

[ 0, 0, 0, 2, 7, 17, 19, 19, 21, 26, 26, 28, 30, 36, 41, 43, 44, 44, 45, 54, 58, 60, 65, 65, 68, 69, 74, 75, 79, 84, 84, 88, 91, 93, 93, 98, 100, 106, 118, 120, 126, 138, 140, 141, 154, 169, 182, 185, 206, 211, 213, 231, 233, 282, 592, 666, 823, 1882 ]

3

[ 0, 0, 0, 2, 5, 10, 2, 0, 2, 5, 0, 2, 2, 6, 5, 2, 1, 0, 1, 9, 4, 2, 5, 0, 3, 1, 5, 1, 4, 5, 0, 4, 3, 2, 0, 5, 2, 6, 12, 2, 6, 12, 2, 1, 13, 15, 13, 3, 21, 5, 2, 18, 2, 49, 310, 74, 157, 1059 ]

58

8,598

[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1 ]

[ 0, 62, 759, 19190, 35700, 35801, 36064, 36161, 37030, 37094, 38189, 42451, 42770, 43335, 43338, 43340, 43475, 43524, 43668, 43714, 43975, 44830, 45020, 45104, 45167, 45277, 45481, 45755, 45814, 45900, 45904, 46160, 47691, 47792, 47902, 48266, 48350, 48402, 48443, 48552, 48747, 49441, 49890, 50723, 53163, 53335, 53461, 53646, 54022, 54315, 54355, 55433, 55592, 56255, 56879, 57081, 57931, 58200, 58226, 58305, 58702, 58708, 59045, 59731, 59734, 60366, 60486, 60832, 61313, 62167, 62318, 62382, 62697, 63967, 64285, 64337, 64849, 65377, 65675, 65817, 65862, 66363, 67251, 67287, 67323, 67370, 67408, 69398, 70021, 70641, 70794, 71084, 72568, 73016, 73953, 74731, 77123, 77270, 77359, 77711, 78354, 78453, 78962, 81913, 82212, 83337, 92942, 94417, 97355, 128711, 129270, 134102, 141462, 142968, 163715, 179353 ]

3

[ 0, 62, 697, 18431, 16510, 101, 263, 97, 869, 64, 1095, 4262, 319, 565, 3, 2, 135, 49, 144, 46, 261, 855, 190, 84, 63, 110, 204, 274, 59, 86, 4, 256, 1531, 101, 110, 364, 84, 52, 41, 109, 195, 694, 449, 833, 2440, 172, 126, 185, 376, 293, 40, 1078, 159, 663, 624, 202, 850, 269, 26, 79, 397, 6, 337, 686, 3, 632, 120, 346, 481, 854, 151, 64, 315, 1270, 318, 52, 512, 528, 298, 142, 45, 501, 888, 36, 36, 47, 38, 1990, 623, 620, 153, 290, 1484, 448, 937, 778, 2392, 147, 89, 352, 643, 99, 509, 2951, 299, 1125, 9605, 1475, 2938, 31356, 559, 4832, 7360, 1506, 20747, 15638 ]

116

8,599

[ 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1 ]