Search is not available for this dataset
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
[ 0, 1, 3, 4, 5, 8, 9, 13, 14, 15, 15, 16, 17, 18, 19, 20, 20, 22, 24, 25, 25, 26, 26, 26, 27, 27, 30, 31, 32, 33, 35, 35, 38, 40, 40, 40, 40, 41, 42, 43, 46, 46, 47, 51, 51, 52, 52, 53, 56, 56, 57, 59, 60, 60, 65, 67, 71, 71, 73, 75, 75, 79, 79, 81, 81, 81, 85, 85, 87, 90, 94, 94, 94, 96, 100, 104, 111, 130, 139, 140, 142, 148, 151, 155, 165, 166, 170, 180, 234, 262, 309, 329, 336, 349, 371, 380, 480, 562, 581, 592, 658, 712, 735, 830, 911, 918, 1261, 1328, 1353, 1680, 2335, 3406, 3611, 3926, 3983, 3999, 4207, 4214, 4225, 4232, 4233, 4235, 4236, 4236, 4246, 4246, 4248, 4250, 4251, 4254, 4258, 4269, 4272, 4278, 4282, 4293, 4296, 4298, 4302, 4303, 4308, 4314, 4325, 4354, 4536, 4869, 5115, 5301, 5383, 5640, 5987, 6281, 6441, 6672, 7719, 11360, 14782, 15769, 22678, 42192, 60073, 66069, 66107, 69120, 78410, 78449, 78455, 78457, 78462, 78463, 78471, 78472, 78473, 78475, 78480, 78499, 78500, 78521, 78536, 78537, 78600, 78602, 78605, 78733, 78762, 78878, 78990, 79200, 80610, 80934, 86869, 95512, 103406, 119729, 173842, 270222, 277780, 354728, 400453, 412263, 412658, 438709, 449298 ]
3
[ 0, 1, 2, 1, 1, 3, 1, 4, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 3, 1, 1, 1, 2, 0, 3, 2, 0, 0, 0, 1, 1, 1, 3, 0, 1, 4, 0, 1, 0, 1, 3, 0, 1, 2, 1, 0, 5, 2, 4, 0, 2, 2, 0, 4, 0, 2, 0, 0, 4, 0, 2, 3, 4, 0, 0, 2, 4, 4, 7, 19, 9, 1, 2, 6, 3, 4, 10, 1, 4, 10, 54, 28, 47, 20, 7, 13, 22, 9, 100, 82, 19, 11, 66, 54, 23, 95, 81, 7, 343, 67, 25, 327, 655, 1071, 205, 315, 57, 16, 208, 7, 11, 7, 1, 2, 1, 0, 10, 0, 2, 2, 1, 3, 4, 11, 3, 6, 4, 11, 3, 2, 4, 1, 5, 6, 11, 29, 182, 333, 246, 186, 82, 257, 347, 294, 160, 231, 1047, 3641, 3422, 987, 6909, 19514, 17881, 5996, 38, 3013, 9290, 39, 6, 2, 5, 1, 8, 1, 1, 2, 5, 19, 1, 21, 15, 1, 63, 2, 3, 128, 29, 116, 112, 210, 1410, 324, 5935, 8643, 7894, 16323, 54113, 96380, 7558, 76948, 45725, 11810, 395, 26051, 10589 ]
203
1,500
[ 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0 ]
[ 0, 10, 14, 19, 21, 41, 42, 43, 51, 53, 56, 57, 65, 73, 80, 82, 86, 95, 95, 101, 101, 104, 105, 124, 125, 129, 134, 140, 143, 144, 147, 169, 174, 176, 202, 214, 278, 291, 301, 302, 303, 358, 368, 381, 397, 397, 467, 479, 492, 497, 506, 524, 531, 557, 559, 584, 655, 713, 818, 836, 844, 870, 883, 968, 1000, 1031, 1050, 1146, 1274, 1360, 1381, 1403, 1465, 1475, 1648, 1658, 1860, 2318, 2714, 4385, 4564, 4574, 4591, 4618, 4652, 4740, 4752, 4764, 4822, 4849, 4918, 4964, 4986, 4989, 5059, 5131, 5160, 5219, 5219, 5243, 5243, 6017, 6097, 6456, 6537, 6541, 6546, 6564, 6573, 6576, 6588, 6596, 6613, 6615, 6656, 6723, 6799, 7347, 9975, 13417, 13721, 18314, 100619, 240342, 343566 ]
3
[ 0, 10, 4, 5, 2, 20, 1, 1, 8, 2, 3, 1, 8, 8, 7, 2, 4, 9, 0, 6, 0, 3, 1, 19, 1, 4, 5, 6, 3, 1, 3, 22, 5, 2, 26, 12, 64, 13, 10, 1, 1, 55, 10, 13, 16, 0, 70, 12, 13, 5, 9, 18, 7, 26, 2, 25, 71, 58, 105, 18, 8, 26, 13, 85, 32, 31, 19, 96, 128, 86, 21, 22, 62, 10, 173, 10, 202, 458, 396, 1671, 179, 10, 17, 27, 34, 88, 12, 12, 58, 27, 69, 46, 22, 3, 70, 72, 29, 59, 0, 24, 0, 774, 80, 359, 81, 4, 5, 18, 9, 3, 12, 8, 17, 2, 41, 67, 76, 548, 2628, 3442, 304, 4593, 82305, 139723, 103224 ]
125
1,501
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1 ]
[ 0, 1, 1, 7, 8, 8, 11, 11, 11, 12, 13, 14, 15, 17, 17, 18, 21, 21, 21, 24, 24, 25, 25, 26, 28, 29, 31, 31, 32, 32, 35, 36, 38, 38, 39, 39, 40, 41, 43, 47, 48, 52, 54, 55, 57, 57, 59, 59, 59, 117, 118, 118, 125, 127, 128, 129, 140, 149, 152, 157, 173, 174, 183, 191, 196, 252, 343, 396, 398, 585, 632, 704, 927, 1010, 1245, 1337, 1435, 1830, 2138, 2226, 4094, 7942, 17001, 27914, 41901, 43530, 45028, 45216, 48143, 48389, 53700, 57000, 61272, 61519, 71179, 74942, 75359, 79671, 84322, 84557, 87041, 150889, 152853, 169154, 170473, 216672, 219406, 219442, 220669, 221046, 244847, 244847, 245381, 296546, 314171, 415666 ]
3
[ 0, 1, 0, 6, 1, 0, 3, 0, 0, 1, 1, 1, 1, 2, 0, 1, 3, 0, 0, 3, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 3, 1, 2, 0, 1, 0, 1, 1, 2, 4, 1, 4, 2, 1, 2, 0, 2, 0, 0, 58, 1, 0, 7, 2, 1, 1, 11, 9, 3, 5, 16, 1, 9, 8, 5, 56, 91, 53, 2, 187, 47, 72, 223, 83, 235, 92, 98, 395, 308, 88, 1868, 3848, 9059, 10913, 13987, 1629, 1498, 188, 2927, 246, 5311, 3300, 4272, 247, 9660, 3763, 417, 4312, 4651, 235, 2484, 63848, 1964, 16301, 1319, 46199, 2734, 36, 1227, 377, 23801, 0, 534, 51165, 17625, 101495 ]
116
1,502
[ 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1 ]
[ 0, 7, 10, 59, 89, 95, 97, 179, 186, 218, 226, 262, 287, 333, 407, 686, 792, 817, 926, 978, 1039, 1085, 1172, 1185, 1287, 1308, 1340, 1406, 1519, 1545, 1587, 1946, 2155, 2579, 2598, 2602, 2612, 2621, 2694, 2794, 2847, 2898, 3160, 3278, 3466, 4042, 5516, 5615, 5666, 5705, 5740, 5764, 5796, 5802, 6059, 20671, 59746, 160998 ]
3
[ 0, 7, 3, 49, 30, 6, 2, 82, 7, 32, 8, 36, 25, 46, 74, 279, 106, 25, 109, 52, 61, 46, 87, 13, 102, 21, 32, 66, 113, 26, 42, 359, 209, 424, 19, 4, 10, 9, 73, 100, 53, 51, 262, 118, 188, 576, 1474, 99, 51, 39, 35, 24, 32, 6, 257, 14612, 39075, 101252 ]
58
1,503
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 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, 2, 12, 12, 14, 16, 17, 18, 18, 23, 28, 34, 39, 44, 46, 50, 50, 58, 62, 71, 80, 98, 101, 106, 114, 115, 124, 126, 136, 137, 144, 148, 165, 169, 170, 185, 191, 209, 220, 222, 234, 243, 249, 265, 266, 270, 271, 271, 272, 286, 289, 294, 298, 301, 329, 340, 380, 406, 407, 455, 460, 462, 466, 484, 494, 508, 516, 517, 540, 562, 628, 638, 639, 655, 707, 711, 734, 758, 765, 774, 778, 783, 798, 843, 849, 851, 870, 876, 903, 915, 939, 954, 957, 1013, 1105, 1134, 1310, 1359, 1408, 1504, 1538, 1556, 1660, 1727, 1740, 1882, 1958, 2242, 2248, 2251, 2277, 2472, 2480, 2558, 2577, 2597, 2620, 2678, 2712, 2745, 2854, 2863, 2877, 2883, 3044, 3141, 3153, 3162, 3166, 3252, 3397, 3460, 3545, 3606, 3613, 3694, 3773, 3819, 3922, 3930, 3931, 3965, 4316, 4949, 5091, 5116, 5163, 5568, 5582, 5912, 6157, 6185, 6579, 7466, 7566, 7959, 7989, 8828, 8863, 8933, 8961, 9447, 9671, 10055, 10077, 10411, 10614, 11453, 11618, 11996, 12024, 12442, 13137, 13231, 13300, 13836, 13896, 14025, 14508, 15610, 16224, 16351, 16727, 18833, 19520, 19827, 19901, 19958, 20044, 20075, 20095, 20142, 20181, 20553, 21023, 21091, 21352, 21858, 22345, 25354, 32113, 32190, 32226, 34759, 35038, 35407, 36451, 41838, 51429, 58071, 61150, 68229, 96168, 293445 ]
3
[ 0, 2, 10, 0, 2, 2, 1, 1, 0, 5, 5, 6, 5, 5, 2, 4, 0, 8, 4, 9, 9, 18, 3, 5, 8, 1, 9, 2, 10, 1, 7, 4, 17, 4, 1, 15, 6, 18, 11, 2, 12, 9, 6, 16, 1, 4, 1, 0, 1, 14, 3, 5, 4, 3, 28, 11, 40, 26, 1, 48, 5, 2, 4, 18, 10, 14, 8, 1, 23, 22, 66, 10, 1, 16, 52, 4, 23, 24, 7, 9, 4, 5, 15, 45, 6, 2, 19, 6, 27, 12, 24, 15, 3, 56, 92, 29, 176, 49, 49, 96, 34, 18, 104, 67, 13, 142, 76, 284, 6, 3, 26, 195, 8, 78, 19, 20, 23, 58, 34, 33, 109, 9, 14, 6, 161, 97, 12, 9, 4, 86, 145, 63, 85, 61, 7, 81, 79, 46, 103, 8, 1, 34, 351, 633, 142, 25, 47, 405, 14, 330, 245, 28, 394, 887, 100, 393, 30, 839, 35, 70, 28, 486, 224, 384, 22, 334, 203, 839, 165, 378, 28, 418, 695, 94, 69, 536, 60, 129, 483, 1102, 614, 127, 376, 2106, 687, 307, 74, 57, 86, 31, 20, 47, 39, 372, 470, 68, 261, 506, 487, 3009, 6759, 77, 36, 2533, 279, 369, 1044, 5387, 9591, 6642, 3079, 7079, 27939, 197277 ]
214
1,504
[ 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 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, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 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, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0 ]
[ 0, 3, 4, 14, 15, 19, 22, 37, 38, 39, 43, 81, 84, 96, 98, 194, 211, 260, 301, 302, 315, 324, 329, 352, 355, 356, 361, 423, 443, 461, 570, 582, 732, 750, 803, 812, 831, 833, 834, 856, 857, 879, 902, 911, 932, 982, 986, 986, 998, 1002, 1037, 1046, 1052, 1078, 1097, 1113, 1184, 1189, 1228, 1249, 1252, 1280, 1284, 1293, 1296, 1318, 1347, 1357, 1359, 1368, 1391, 1426, 1470, 1524, 1532, 1602, 1613, 1623, 1628, 1633, 1649, 1671, 1674, 1681, 1683, 1695, 1725, 1745, 1757, 1768, 1776, 1788, 1788, 1811, 1839, 1859, 1877, 1919, 1935, 1983, 2009, 2010, 2022, 2077, 2082, 2217, 2282, 2302, 2322, 2326, 2415, 2467, 2516, 2519, 2523, 2562, 2575, 2593, 2594, 2676, 2870, 3003, 3005, 3055, 3197, 4139, 4914, 4949, 7046, 8210, 9670, 9685, 10037, 251906 ]
3
[ 0, 3, 1, 10, 1, 4, 3, 15, 1, 1, 4, 38, 3, 12, 2, 96, 17, 49, 41, 1, 13, 9, 5, 23, 3, 1, 5, 62, 20, 18, 109, 12, 150, 18, 53, 9, 19, 2, 1, 22, 1, 22, 23, 9, 21, 50, 4, 0, 12, 4, 35, 9, 6, 26, 19, 16, 71, 5, 39, 21, 3, 28, 4, 9, 3, 22, 29, 10, 2, 9, 23, 35, 44, 54, 8, 70, 11, 10, 5, 5, 16, 22, 3, 7, 2, 12, 30, 20, 12, 11, 8, 12, 0, 23, 28, 20, 18, 42, 16, 48, 26, 1, 12, 55, 5, 135, 65, 20, 20, 4, 89, 52, 49, 3, 4, 39, 13, 18, 1, 82, 194, 133, 2, 50, 142, 942, 775, 35, 2097, 1164, 1460, 15, 352, 241869 ]
134
1,505
[ 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1 ]
[ 0, 4, 5, 8, 9, 15, 16, 16, 17, 18, 20, 20, 20, 21, 21, 23, 28, 28, 33, 35, 54, 56, 66, 67, 77, 80, 82, 85, 96, 98, 100, 104, 115, 122, 123, 124, 128, 128, 142, 146, 146, 155, 159, 165, 168, 171, 174, 183, 190, 211, 214, 220, 233, 243, 270, 276, 291, 304, 306, 314, 315, 317, 321, 325, 342, 352, 358, 362, 379, 380, 403, 429, 451, 459, 471, 471, 485, 486, 524, 568, 586, 688, 701, 748, 749, 854, 900, 922, 965, 977, 994, 1123, 1219, 1264, 1377, 1411, 1665, 1918, 1998, 2096, 2119, 2171, 2206, 2215, 2268, 2462, 2537, 2736, 2875, 2970, 2972, 4007, 4558, 4591, 4657, 5275, 5292, 5631, 5650, 5967, 7517, 8510, 8572, 9954, 10211, 10641, 10666, 13889, 14607, 14643, 15037, 20367, 24609, 28110, 29845, 47403, 77049, 138117, 438026 ]
3
[ 0, 4, 1, 3, 1, 6, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 5, 0, 5, 2, 19, 2, 10, 1, 10, 3, 2, 3, 11, 2, 2, 4, 11, 7, 1, 1, 4, 0, 14, 4, 0, 9, 4, 6, 3, 3, 3, 9, 7, 21, 3, 6, 13, 10, 27, 6, 15, 13, 2, 8, 1, 2, 4, 4, 17, 10, 6, 4, 17, 1, 23, 26, 22, 8, 12, 0, 14, 1, 38, 44, 18, 102, 13, 47, 1, 105, 46, 22, 43, 12, 17, 129, 96, 45, 113, 34, 254, 253, 80, 98, 23, 52, 35, 9, 53, 194, 75, 199, 139, 95, 2, 1035, 551, 33, 66, 618, 17, 339, 19, 317, 1550, 993, 62, 1382, 257, 430, 25, 3223, 718, 36, 394, 5330, 4242, 3501, 1735, 17558, 29646, 61068, 299909 ]
139
1,506
[ 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0 ]
[ 0, 1, 8, 8, 13, 20, 22, 28, 36, 40, 57, 59, 69, 80, 84, 87, 94, 98, 108, 111, 116, 117, 125, 130, 132, 141, 143, 149, 166, 168, 222, 228, 259, 261, 261, 263, 305, 316, 356, 364, 371, 439, 467, 518, 543, 607, 716, 769, 845, 936, 986, 1115, 1119, 1160, 1217, 1571, 1829, 2223, 3182, 3541, 3583, 4693, 5626, 5838, 6170, 11829, 11845, 13654, 13705, 34630, 35352, 38889, 41115, 44469, 47198, 61515, 63894, 68895, 70903, 71552, 71987, 82596, 83650, 88334, 159589, 159637, 159690, 161656, 170812, 175029, 176093, 178143, 190177, 215604, 227790, 228059, 233859, 235148, 241583, 243273, 245382, 245923, 306275, 318382, 343113, 343182, 343238, 349387, 356529, 379454, 388376, 425698, 490536, 507511, 520070, 521891, 522044, 522233, 567410, 579052, 586971 ]
3
[ 0, 1, 7, 0, 5, 7, 2, 6, 8, 4, 17, 2, 10, 11, 4, 3, 7, 4, 10, 3, 5, 1, 8, 5, 2, 9, 2, 6, 17, 2, 54, 6, 31, 2, 0, 2, 42, 11, 40, 8, 7, 68, 28, 51, 25, 64, 109, 53, 76, 91, 50, 129, 4, 41, 57, 354, 258, 394, 959, 359, 42, 1110, 933, 212, 332, 5659, 16, 1809, 51, 20925, 722, 3537, 2226, 3354, 2729, 14317, 2379, 5001, 2008, 649, 435, 10609, 1054, 4684, 71255, 48, 53, 1966, 9156, 4217, 1064, 2050, 12034, 25427, 12186, 269, 5800, 1289, 6435, 1690, 2109, 541, 60352, 12107, 24731, 69, 56, 6149, 7142, 22925, 8922, 37322, 64838, 16975, 12559, 1821, 153, 189, 45177, 11642, 7919 ]
121
1,507
[ 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0 ]
[ 0, 4, 12, 12, 14, 22, 57, 60, 62, 131, 141, 155, 180, 189, 255, 258, 339, 347, 419, 435, 468, 635, 942, 950, 990, 998, 1009, 1012, 1096, 1180, 1300, 1665, 1840, 1849, 1937, 1986, 2328, 2423, 2733, 2802, 3184, 3277, 3293, 3768, 3787, 3845, 3868, 4189, 4303, 4562, 4562, 4741, 4786, 4915, 5292, 6060, 6558, 7903, 8049, 8579, 8980, 9428, 9761, 10379, 11130, 11569, 12934, 13898, 15903, 16691, 29783, 36745, 52737, 79514, 215393 ]
3
[ 0, 4, 8, 0, 2, 8, 35, 3, 2, 69, 10, 14, 25, 9, 66, 3, 81, 8, 72, 16, 33, 167, 307, 8, 40, 8, 11, 3, 84, 84, 120, 365, 175, 9, 88, 49, 342, 95, 310, 69, 382, 93, 16, 475, 19, 58, 23, 321, 114, 259, 0, 179, 45, 129, 377, 768, 498, 1345, 146, 530, 401, 448, 333, 618, 751, 439, 1365, 964, 2005, 788, 13092, 6962, 15992, 26777, 135879 ]
75
1,508
[ 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1 ]
[ 0, 19, 25, 26, 27, 34, 35, 43, 56, 62, 63, 79, 93, 94, 100, 103, 106, 112, 112, 121, 121, 142, 145, 145, 146, 177, 196, 205, 245, 262, 262, 273, 279, 324, 352, 379, 381, 384, 405, 412, 416, 454, 611, 698, 710, 712, 831, 880, 939, 950, 964, 1077, 1109, 1285, 1350, 1382, 1792, 1826, 2149, 2744, 3000, 3464, 3522, 3671, 3783, 4330, 4428, 4708, 4972, 5180, 5226, 5369, 5499, 5547, 6192, 10880, 14427, 15841, 24281, 24731, 25021, 25710, 25729, 25764, 25772, 25797, 25817, 25837, 25856, 25901, 25934, 25935, 25953, 26057, 26061, 26430, 26996, 27027, 27242, 28689, 29089, 29320, 30245, 31364, 31595, 31905, 32426, 34794, 36111, 36683, 38864, 38975, 39001, 39009, 39017, 39042, 39054, 39163, 39166, 39198, 39363, 39406, 39711, 40893, 41470, 43250, 45590, 46735, 46752, 86364, 107079, 114328, 130571, 130594, 130602, 130606, 130612, 130632, 130638, 130648, 130713, 130744, 130768, 131030, 131125, 131151, 131422, 131423, 131455, 131570, 132907, 137126, 168674, 201417, 201434, 201437, 201445, 201451, 201458, 201459, 201466, 201475, 201476, 201485, 201504, 201552, 201570, 201574, 201593, 201654, 201703, 201737, 201817, 201904, 201934, 201968, 202086, 202349, 202435, 202473, 202485, 203285, 205020, 252692, 274065, 274754, 321561 ]
3
[ 0, 19, 6, 1, 1, 7, 1, 8, 13, 6, 1, 16, 14, 1, 6, 3, 3, 6, 0, 9, 0, 21, 3, 0, 1, 31, 19, 9, 40, 17, 0, 11, 6, 45, 28, 27, 2, 3, 21, 7, 4, 38, 157, 87, 12, 2, 119, 49, 59, 11, 14, 113, 32, 176, 65, 32, 410, 34, 323, 595, 256, 464, 58, 149, 112, 547, 98, 280, 264, 208, 46, 143, 130, 48, 645, 4688, 3547, 1414, 8440, 450, 290, 689, 19, 35, 8, 25, 20, 20, 19, 45, 33, 1, 18, 104, 4, 369, 566, 31, 215, 1447, 400, 231, 925, 1119, 231, 310, 521, 2368, 1317, 572, 2181, 111, 26, 8, 8, 25, 12, 109, 3, 32, 165, 43, 305, 1182, 577, 1780, 2340, 1145, 17, 39612, 20715, 7249, 16243, 23, 8, 4, 6, 20, 6, 10, 65, 31, 24, 262, 95, 26, 271, 1, 32, 115, 1337, 4219, 31548, 32743, 17, 3, 8, 6, 7, 1, 7, 9, 1, 9, 19, 48, 18, 4, 19, 61, 49, 34, 80, 87, 30, 34, 118, 263, 86, 38, 12, 800, 1735, 47672, 21373, 689, 46807 ]
187
1,509
[ 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1 ]
[ 0, 2, 11, 21, 59, 118, 250, 288, 660, 788, 900, 1396, 2304, 2317, 2545, 3057, 3074, 3077, 3135, 3197, 3225, 3232, 3248, 3248, 3252, 3261, 3262, 3283, 3296, 3356, 3414, 3442, 3482, 3681, 3760, 3770, 4008, 4058, 4131, 4150, 4189, 4244, 4780, 5306, 5718, 8621, 9337, 9676, 9685, 9839, 10005, 11144, 11716, 14069, 21139, 25282, 26370, 29220, 53132, 53309, 53494, 53624, 53887, 55099, 55669, 55763, 56602, 57562, 57781, 59512, 584353 ]
3
[ 0, 2, 9, 10, 38, 59, 132, 38, 372, 128, 112, 496, 908, 13, 228, 512, 17, 3, 58, 62, 28, 7, 16, 0, 4, 9, 1, 21, 13, 60, 58, 28, 40, 199, 79, 10, 238, 50, 73, 19, 39, 55, 536, 526, 412, 2903, 716, 339, 9, 154, 166, 1139, 572, 2353, 7070, 4143, 1088, 2850, 23912, 177, 185, 130, 263, 1212, 570, 94, 839, 960, 219, 1731, 524841 ]
71
1,510
[ 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0 ]
[ 0, 3, 12, 13, 15, 17, 22, 25, 26, 26, 27, 28, 29, 32, 35, 35, 37, 39, 42, 47, 53, 55, 59, 60, 60, 65, 66, 71, 77, 77, 78, 79, 81, 82, 84, 92, 95, 102, 105, 118, 122, 125, 128, 129, 134, 135, 142, 156, 161, 169, 170, 179, 204, 208, 208, 216, 221, 241, 257, 268, 269, 272, 276, 292, 303, 319, 327, 330, 373, 591, 770, 779, 859, 974, 992, 1096, 1217, 1266, 1835, 1893, 1944, 2228, 2329, 2498, 3010, 3194, 5543, 6810, 10577, 10594, 13392, 13916, 16898, 47367, 49518, 52441, 64777, 65526, 82147, 85757, 92702, 96124, 96312, 97057, 351551, 353102, 355587 ]
3
[ 0, 3, 9, 1, 2, 2, 5, 3, 1, 0, 1, 1, 1, 3, 3, 0, 2, 2, 3, 5, 6, 2, 4, 1, 0, 5, 1, 5, 6, 0, 1, 1, 2, 1, 2, 8, 3, 7, 3, 13, 4, 3, 3, 1, 5, 1, 7, 14, 5, 8, 1, 9, 25, 4, 0, 8, 5, 20, 16, 11, 1, 3, 4, 16, 11, 16, 8, 3, 43, 218, 179, 9, 80, 115, 18, 104, 121, 49, 569, 58, 51, 284, 101, 169, 512, 184, 2349, 1267, 3767, 17, 2798, 524, 2982, 30469, 2151, 2923, 12336, 749, 16621, 3610, 6945, 3422, 188, 745, 254494, 1551, 2485 ]
107
1,511
[ 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1 ]
[ 0, 20, 21, 27, 58, 73, 101, 114, 135, 186, 283, 285, 290, 298, 319, 351, 356, 357, 364, 365, 374, 380, 398, 410, 417, 422, 538, 652, 670, 670, 711, 718, 940, 982, 1024, 1042, 1313, 1776, 1969, 2135, 2153, 2158, 2181, 2250, 2258, 2274, 2418, 3316, 3432, 3754, 3761, 3792, 3815, 3868, 3868, 3882, 3914, 4015, 4088, 4335, 4393, 4556, 4600, 4648, 5017, 5079, 5252, 6720, 7070, 12516, 16221, 16678, 16705, 16725, 16726, 16758, 16759, 16799, 16809, 16834, 16835, 16879, 16986, 17005, 17013, 17023, 17059, 17199, 17302, 17545, 18103, 18172, 18251, 18365, 18578, 19392, 22032, 23748, 23785, 23795, 23801, 23802, 23840, 23844, 23844, 23853, 23864, 23977, 24033, 24491, 25568, 26258, 27821, 33861, 35203, 35666, 36151, 36215, 45661, 46278, 56392, 59393, 63027, 70607, 81510, 84304, 107093, 107108, 107127, 107136, 107137, 107140, 107150, 107176, 107182, 107203, 107212, 107221, 107256, 107280, 107349, 107403, 107433, 107528, 107567, 107950, 108854, 110115, 110705, 115715, 131274, 138550, 142273, 145287, 145332, 145633, 175313, 200115, 202259, 203368, 223578, 245377, 465531 ]
3
[ 0, 20, 1, 6, 31, 15, 28, 13, 21, 51, 97, 2, 5, 8, 21, 32, 5, 1, 7, 1, 9, 6, 18, 12, 7, 5, 116, 114, 18, 0, 41, 7, 222, 42, 42, 18, 271, 463, 193, 166, 18, 5, 23, 69, 8, 16, 144, 898, 116, 322, 7, 31, 23, 53, 0, 14, 32, 101, 73, 247, 58, 163, 44, 48, 369, 62, 173, 1468, 350, 5446, 3705, 457, 27, 20, 1, 32, 1, 40, 10, 25, 1, 44, 107, 19, 8, 10, 36, 140, 103, 243, 558, 69, 79, 114, 213, 814, 2640, 1716, 37, 10, 6, 1, 38, 4, 0, 9, 11, 113, 56, 458, 1077, 690, 1563, 6040, 1342, 463, 485, 64, 9446, 617, 10114, 3001, 3634, 7580, 10903, 2794, 22789, 15, 19, 9, 1, 3, 10, 26, 6, 21, 9, 9, 35, 24, 69, 54, 30, 95, 39, 383, 904, 1261, 590, 5010, 15559, 7276, 3723, 3014, 45, 301, 29680, 24802, 2144, 1109, 20210, 21799, 220154 ]
163
1,512
[ 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0 ]
[ 0, 6, 10, 18, 27, 28, 34, 51, 65, 66, 75, 76, 77, 78, 79, 82, 82, 90, 103, 104, 114, 117, 127, 133, 147, 206, 242, 271, 311, 352, 419, 455, 498, 515, 565, 599, 879, 881, 1031, 1077, 1336, 1789, 1929, 2001, 2339, 2581, 3096, 3246, 3886, 7186, 9775, 11589, 12933, 14695, 24594, 38377, 57931, 75754, 378900, 432162, 601032 ]
3
[ 0, 6, 4, 8, 9, 1, 6, 17, 14, 1, 9, 1, 1, 1, 1, 3, 0, 8, 13, 1, 10, 3, 10, 6, 14, 59, 36, 29, 40, 41, 67, 36, 43, 17, 50, 34, 280, 2, 150, 46, 259, 453, 140, 72, 338, 242, 515, 150, 640, 3300, 2589, 1814, 1344, 1762, 9899, 13783, 19554, 17823, 303146, 53262, 168870 ]
61
1,513
[ 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
[ 0, 11, 12, 24, 25, 28, 37, 39, 42, 42, 43, 46, 49, 49, 52, 56, 59, 61, 71, 73, 81, 87, 105, 106, 107, 111, 113, 113, 127, 129, 131, 132, 151, 156, 167, 175, 197, 197, 200, 242, 245, 248, 255, 263, 280, 291, 308, 316, 357, 422, 452, 453, 468, 477, 478, 496, 514, 537, 559, 651, 927, 1003, 1421, 1457, 1484, 1574, 1589, 1706, 1884, 1980, 2043, 2098, 2445, 2778, 4132, 7316, 20626, 49692 ]
3
[ 0, 11, 1, 12, 1, 3, 9, 2, 3, 0, 1, 3, 3, 0, 3, 4, 3, 2, 10, 2, 8, 6, 18, 1, 1, 4, 2, 0, 14, 2, 2, 1, 19, 5, 11, 8, 22, 0, 3, 42, 3, 3, 7, 8, 17, 11, 17, 8, 41, 65, 30, 1, 15, 9, 1, 18, 18, 23, 22, 92, 276, 76, 418, 36, 27, 90, 15, 117, 178, 96, 63, 55, 347, 333, 1354, 3184, 13310, 29066 ]
78
1,514
[ 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0 ]
[ 0, 18, 51, 67, 77, 102, 111, 114, 117, 118, 128, 142, 146, 225, 256, 258, 266, 278, 282, 285, 324, 333, 380, 392, 435, 450, 462, 484, 537, 595, 614, 649, 652, 660, 669, 685, 685, 697, 715, 731, 747, 769, 851, 968, 1020, 1075, 1107, 1114, 1132, 1143, 1238, 1289, 1319, 1364, 1390, 1391, 1407, 1457, 1508, 1517, 1552, 1631, 1715, 1743, 1829, 1935, 1946, 2073, 2118, 2243, 2494, 2495, 2507, 2550, 2631, 3006, 3074, 3176, 3231, 3292, 3344, 3775, 4163, 4182, 4482, 4672, 4768, 4865, 4974, 5768, 6309, 6343, 7808, 7973, 8153, 8246, 8484, 9213, 9254, 9733, 9982, 10222, 10503, 10526, 10748, 11521, 11684, 16166, 16534, 17864, 18368, 19196, 20691, 21142, 22092, 22325, 22508, 23654, 24272, 26322, 27049, 31214, 32537, 34566, 37165, 43105, 45060, 45285, 45777, 61799, 65880, 66080, 66752, 66792, 67261, 70640, 88842, 105094, 105186, 105489, 107509, 108599, 126037, 132267, 299680 ]
3
[ 0, 18, 33, 16, 10, 25, 9, 3, 3, 1, 10, 14, 4, 79, 31, 2, 8, 12, 4, 3, 39, 9, 47, 12, 43, 15, 12, 22, 53, 58, 19, 35, 3, 8, 9, 16, 0, 12, 18, 16, 16, 22, 82, 117, 52, 55, 32, 7, 18, 11, 95, 51, 30, 45, 26, 1, 16, 50, 51, 9, 35, 79, 84, 28, 86, 106, 11, 127, 45, 125, 251, 1, 12, 43, 81, 375, 68, 102, 55, 61, 52, 431, 388, 19, 300, 190, 96, 97, 109, 794, 541, 34, 1465, 165, 180, 93, 238, 729, 41, 479, 249, 240, 281, 23, 222, 773, 163, 4482, 368, 1330, 504, 828, 1495, 451, 950, 233, 183, 1146, 618, 2050, 727, 4165, 1323, 2029, 2599, 5940, 1955, 225, 492, 16022, 4081, 200, 672, 40, 469, 3379, 18202, 16252, 92, 303, 2020, 1090, 17438, 6230, 167413 ]
145
1,515
[ 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0 ]
[ 0, 2, 13, 14, 16, 16, 31, 48, 51, 63, 75, 78, 81, 86, 100, 142, 147, 149, 158, 159, 167, 172, 181, 199, 214, 225, 238, 254, 279, 288, 294, 318, 320, 347, 382, 386, 392, 432, 444, 468, 475, 505, 512, 513, 521, 521, 562, 617, 702, 735, 832, 840, 939, 1075, 1084, 1102, 1211, 1252, 1264, 1317, 1357, 1377, 1400, 1500, 1568, 1571, 1713, 1769, 1783, 1906, 2025, 2027, 2196, 2391, 2515, 2548, 2940, 3159, 3261, 3359, 3436, 3618, 3680, 3701, 3708, 3710, 3823, 4026, 4364, 4798, 5026, 5279, 5580, 6014, 6904, 7924, 10991, 11478, 16342, 17667, 19984, 22096, 32830, 77564, 87682, 145502 ]
3
[ 0, 2, 11, 1, 2, 0, 15, 17, 3, 12, 12, 3, 3, 5, 14, 42, 5, 2, 9, 1, 8, 5, 9, 18, 15, 11, 13, 16, 25, 9, 6, 24, 2, 27, 35, 4, 6, 40, 12, 24, 7, 30, 7, 1, 8, 0, 41, 55, 85, 33, 97, 8, 99, 136, 9, 18, 109, 41, 12, 53, 40, 20, 23, 100, 68, 3, 142, 56, 14, 123, 119, 2, 169, 195, 124, 33, 392, 219, 102, 98, 77, 182, 62, 21, 7, 2, 113, 203, 338, 434, 228, 253, 301, 434, 890, 1020, 3067, 487, 4864, 1325, 2317, 2112, 10734, 44734, 10118, 57820 ]
106
1,516
[ 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 0, 3, 7, 18, 19, 22, 23, 38, 40, 40, 44, 49, 62, 64, 66, 72, 73, 74, 75, 81, 81, 91, 92, 96, 97, 97, 101, 113, 122, 127, 177, 182, 183, 187, 192, 204, 207, 211, 214, 216, 253, 262, 267, 274, 284, 344, 351, 371, 408, 413, 446, 468, 505, 538, 585, 586, 588, 662, 723, 757, 834, 844, 852, 946, 1257, 1296, 1353, 1435, 1444, 1693, 1879, 1979, 2213, 2231, 2259, 2433, 2585, 3308, 4264, 4348, 4505, 5069, 5138, 5767, 6107, 9137, 13899, 14511, 15174, 16328, 16561, 23335, 25850, 32332, 33908, 43118, 46381, 81101, 83177, 88345, 89097, 100728, 105810, 107558, 139741 ]
3
[ 0, 3, 4, 11, 1, 3, 1, 15, 2, 0, 4, 5, 13, 2, 2, 6, 1, 1, 1, 6, 0, 10, 1, 4, 1, 0, 4, 12, 9, 5, 50, 5, 1, 4, 5, 12, 3, 4, 3, 2, 37, 9, 5, 7, 10, 60, 7, 20, 37, 5, 33, 22, 37, 33, 47, 1, 2, 74, 61, 34, 77, 10, 8, 94, 311, 39, 57, 82, 9, 249, 186, 100, 234, 18, 28, 174, 152, 723, 956, 84, 157, 564, 69, 629, 340, 3030, 4762, 612, 663, 1154, 233, 6774, 2515, 6482, 1576, 9210, 3263, 34720, 2076, 5168, 752, 11631, 5082, 1748, 32183 ]
105
1,517
[ 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0 ]
[ 0, 12, 26, 35, 40, 40, 41, 47, 47, 56, 56, 57, 69, 69, 72, 84, 86, 91, 103, 104, 107, 115, 116, 117, 147, 154, 171, 180, 205, 218, 224, 261, 266, 271, 273, 276, 311, 313, 323, 324, 337, 359, 377, 386, 429, 472, 516, 534, 539, 542, 584, 606, 658, 669, 675, 742, 752, 878, 902, 905, 1038, 1223, 2086, 2643, 3775, 4707, 4732, 5502, 5563, 8099, 8136, 9016, 16683, 97778, 97912, 99368, 106700, 174546, 177185, 179738, 190554, 190589, 473298, 476021, 541625 ]
3
[ 0, 12, 14, 9, 5, 0, 1, 6, 0, 9, 0, 1, 12, 0, 3, 12, 2, 5, 12, 1, 3, 8, 1, 1, 30, 7, 17, 9, 25, 13, 6, 37, 5, 5, 2, 3, 35, 2, 10, 1, 13, 22, 18, 9, 43, 43, 44, 18, 5, 3, 42, 22, 52, 11, 6, 67, 10, 126, 24, 3, 133, 185, 863, 557, 1132, 932, 25, 770, 61, 2536, 37, 880, 7667, 81095, 134, 1456, 7332, 67846, 2639, 2553, 10816, 35, 282709, 2723, 65604 ]
85
1,518
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 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, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0 ]
[ 0, 10, 11, 11, 12, 14, 16, 20, 24, 25, 28, 31, 33, 34, 37, 37, 99, 99, 100, 102, 105, 110, 117, 118, 118, 120, 125, 130, 131, 138, 139, 140, 148, 151, 171, 175, 177, 187, 189, 190, 190, 197, 198, 242, 249, 259, 260, 272, 274, 274, 310, 311, 313, 314, 384, 405, 421, 445, 458, 656, 666, 675, 679 ]
3
[ 0, 10, 1, 0, 1, 2, 2, 4, 4, 1, 3, 3, 2, 1, 3, 0, 62, 0, 1, 2, 3, 5, 7, 1, 0, 2, 5, 5, 1, 7, 1, 1, 8, 3, 20, 4, 2, 10, 2, 1, 0, 7, 1, 44, 7, 10, 1, 12, 2, 0, 36, 1, 2, 1, 70, 21, 16, 24, 13, 198, 10, 9, 4 ]
63
1,519
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0 ]
[ 0, 28, 58, 140, 164, 197, 199, 247, 268, 289, 300, 426, 543, 576, 589, 663, 807, 899, 928, 1082, 1370, 1759, 1834, 1908, 2079, 2689, 2994, 3292, 3517, 3527, 4118, 4444, 4816, 4857, 5609, 5629, 5828, 6214, 7247, 7546, 7859, 8988, 8990, 9295, 10672, 11306, 11472, 11668, 11762, 12038, 12892, 13199, 14450, 14814, 15868, 18344, 20705, 21953, 22951, 24154, 24343, 25318, 25650, 30294, 45636, 49324, 110219, 131755, 253873 ]
3
[ 0, 28, 30, 82, 24, 33, 2, 48, 21, 21, 11, 126, 117, 33, 13, 74, 144, 92, 29, 154, 288, 389, 75, 74, 171, 610, 305, 298, 225, 10, 591, 326, 372, 41, 752, 20, 199, 386, 1033, 299, 313, 1129, 2, 305, 1377, 634, 166, 196, 94, 276, 854, 307, 1251, 364, 1054, 2476, 2361, 1248, 998, 1203, 189, 975, 332, 4644, 15342, 3688, 60895, 21536, 122118 ]
69
1,520
[ 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 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, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 13, 21, 33, 38, 47, 52, 78, 90, 101, 114, 235, 248, 257, 274, 284, 322, 328, 343, 346, 347, 351, 358, 371, 393, 430, 448, 473, 505, 515, 619, 657, 780, 886, 1044, 1088, 1096, 1144, 1167, 1218, 1386, 1420, 1450, 1451, 1657, 1730, 1743, 2158, 2375, 2415, 2945, 3210, 3329, 3367, 3384, 3435, 3452, 3891, 3946, 4265, 4526, 4546, 4714, 5406, 5637, 5657, 6282, 6291, 6741, 7150, 7330, 7654, 8013, 8264, 9192, 10419, 11319, 11408, 13470, 15755, 15850, 16488, 24247, 27813, 37240, 38559, 99466, 175719, 175719 ]
3
[ 0, 13, 8, 12, 5, 9, 5, 26, 12, 11, 13, 121, 13, 9, 17, 10, 38, 6, 15, 3, 1, 4, 7, 13, 22, 37, 18, 25, 32, 10, 104, 38, 123, 106, 158, 44, 8, 48, 23, 51, 168, 34, 30, 1, 206, 73, 13, 415, 217, 40, 530, 265, 119, 38, 17, 51, 17, 439, 55, 319, 261, 20, 168, 692, 231, 20, 625, 9, 450, 409, 180, 324, 359, 251, 928, 1227, 900, 89, 2062, 2285, 95, 638, 7759, 3566, 9427, 1319, 60907, 76253, 0 ]
89
1,521
[ 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2 ]
[ 0, 0, 7, 8, 18, 23, 26, 26, 28, 47, 59, 72, 108, 113, 116, 117, 131, 162, 190, 243, 270, 312, 451, 457, 470, 491, 1010, 1010, 1080, 1609, 1774, 2009, 3103, 3363, 6112, 7198, 10832, 12273, 13649, 26754, 28741, 35368, 39996, 42599, 43208, 43739, 45258, 45405, 48198, 48650, 174205, 174271, 180401, 333179, 340016, 424493, 426541 ]
3
[ 0, 0, 7, 1, 10, 5, 3, 0, 2, 19, 12, 13, 36, 5, 3, 1, 14, 31, 28, 53, 27, 42, 139, 6, 13, 21, 519, 0, 70, 529, 165, 235, 1094, 260, 2749, 1086, 3634, 1441, 1376, 13105, 1987, 6627, 4628, 2603, 609, 531, 1519, 147, 2793, 452, 125555, 66, 6130, 152778, 6837, 84477, 2048 ]
57
1,522
[ 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1, 46, 49, 60, 76, 87, 106, 112, 122, 123, 138, 147, 165, 173, 173, 174, 179, 197, 197, 201, 202, 205, 206, 212, 214, 215, 216, 219, 220, 223, 224, 226, 229, 229, 233, 236, 243, 250, 252, 256, 269, 272, 272, 279, 280, 283, 285, 286, 287, 299, 302, 302, 306, 323, 323, 328, 354, 374, 374, 375, 421, 422, 498, 518, 623, 686, 686, 691, 1212, 1270, 1998, 2037, 2625, 10581, 20576, 44688, 68997, 215044, 264048, 575083 ]
3
[ 0, 1, 45, 3, 11, 16, 11, 19, 6, 10, 1, 15, 9, 18, 8, 0, 1, 5, 18, 0, 4, 1, 3, 1, 6, 2, 1, 1, 3, 1, 3, 1, 2, 3, 0, 4, 3, 7, 7, 2, 4, 13, 3, 0, 7, 1, 3, 2, 1, 1, 12, 3, 0, 4, 17, 0, 5, 26, 20, 0, 1, 46, 1, 76, 20, 105, 63, 0, 5, 521, 58, 728, 39, 588, 7956, 9995, 24112, 24309, 146047, 49004, 311035 ]
81
1,523
[ 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0 ]
[ 0, 21, 22, 40, 41, 55, 67, 69, 90, 107, 114, 130, 159, 168, 242, 252, 317, 342, 411, 477, 482, 507, 520, 575, 589, 718, 932, 1020, 1170, 1300, 1389, 2201, 2311, 2627, 2887, 2926, 2956, 3357, 3611, 4176, 4339, 4408, 4437, 5457, 5481, 6602, 6738, 6993, 8142, 8783, 10553, 11881, 14930, 15010, 17655, 29028, 29330, 33889, 34014, 35567, 47286, 49712, 63298, 64509, 64690, 70176, 71921, 89705, 102079, 110728, 118964, 127001, 129159, 163578, 163642, 249168, 263689, 263709, 275343, 289659, 490004 ]
3
[ 0, 21, 1, 18, 1, 14, 12, 2, 21, 17, 7, 16, 29, 9, 74, 10, 65, 25, 69, 66, 5, 25, 13, 55, 14, 129, 214, 88, 150, 130, 89, 812, 110, 316, 260, 39, 30, 401, 254, 565, 163, 69, 29, 1020, 24, 1121, 136, 255, 1149, 641, 1770, 1328, 3049, 80, 2645, 11373, 302, 4559, 125, 1553, 11719, 2426, 13586, 1211, 181, 5486, 1745, 17784, 12374, 8649, 8236, 8037, 2158, 34419, 64, 85526, 14521, 20, 11634, 14316, 200345 ]
81
1,524
[ 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1 ]
[ 0, 9, 14, 14, 14, 18, 19, 23, 25, 28, 29, 30, 33, 35, 36, 38, 47, 47, 51, 56, 58, 64, 67, 75, 79, 82, 83, 86, 86, 92, 92, 99, 99, 100, 102, 109, 110, 113, 118, 124, 138, 139, 160, 161, 161, 165, 173, 173, 189, 216, 221, 225, 226, 244, 250, 258, 263, 294, 295, 308, 331, 338, 348, 353, 363, 373, 380, 383, 406, 448, 474, 538, 666, 766, 776, 776, 834, 866, 982, 1154, 1263, 1293, 1421, 2018, 2168, 2346, 2391, 2631, 2830, 2860, 3076, 3089, 3240, 3266, 3890, 4687, 4827, 5029, 5072, 5119, 5563, 5812, 7541, 8335, 9697, 14224, 16808, 22909, 22966, 23836, 30329, 32231, 33126, 35038, 40538, 57610, 72093, 74871, 84056, 84234, 144488, 148311, 150869, 154324, 158578, 359102, 529880 ]
3
[ 0, 9, 5, 0, 0, 4, 1, 4, 2, 3, 1, 1, 3, 2, 1, 2, 9, 0, 4, 5, 2, 6, 3, 8, 4, 3, 1, 3, 0, 6, 0, 7, 0, 1, 2, 7, 1, 3, 5, 6, 14, 1, 21, 1, 0, 4, 8, 0, 16, 27, 5, 4, 1, 18, 6, 8, 5, 31, 1, 13, 23, 7, 10, 5, 10, 10, 7, 3, 23, 42, 26, 64, 128, 100, 10, 0, 58, 32, 116, 172, 109, 30, 128, 597, 150, 178, 45, 240, 199, 30, 216, 13, 151, 26, 624, 797, 140, 202, 43, 47, 444, 249, 1729, 794, 1362, 4527, 2584, 6101, 57, 870, 6493, 1902, 895, 1912, 5500, 17072, 14483, 2778, 9185, 178, 60254, 3823, 2558, 3455, 4254, 200524, 170778 ]
127
1,525
[ 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1 ]
[ 0, 5, 9, 11, 19, 21, 23, 27, 34, 36, 39, 39, 40, 44, 46, 49, 54, 56, 69, 73, 76, 78, 87, 89, 92, 92, 127, 135, 138, 153, 157, 161, 167, 169, 170, 173, 178, 209, 231, 241, 247, 248, 260, 288, 295, 304, 318, 322, 338, 356, 381, 385, 405, 405, 421, 447, 487, 509, 538, 558, 604, 712, 747, 771, 800, 839, 1106, 1528, 1528, 1530, 1530, 2045, 2336, 3245, 3248, 3297, 4108 ]
3
[ 0, 5, 4, 2, 8, 2, 2, 4, 7, 2, 3, 0, 1, 4, 2, 3, 5, 2, 13, 4, 3, 2, 9, 2, 3, 0, 35, 8, 3, 15, 4, 4, 6, 2, 1, 3, 5, 31, 22, 10, 6, 1, 12, 28, 7, 9, 14, 4, 16, 18, 25, 4, 20, 0, 16, 26, 40, 22, 29, 20, 46, 108, 35, 24, 29, 39, 267, 422, 0, 2, 0, 515, 291, 909, 3, 49, 811 ]
77
1,526
[ 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0 ]
[ 0, 11, 14, 24, 24, 27, 35, 38, 50, 54, 55, 58, 58, 61, 63, 64, 66, 70, 71, 71, 73, 79, 79, 80, 81, 84, 85, 91, 91, 100, 101, 103, 105, 105, 107, 108, 111, 118, 119, 119, 120, 122, 125, 125, 127, 133, 134, 137, 144, 150, 155, 164, 164, 165, 179, 180, 184, 229, 253, 260, 270, 278, 282, 301, 325, 339, 344, 361, 376, 380, 401, 415, 423, 432, 553, 559, 607, 638, 660, 779, 784, 806, 809, 900, 1131, 1155, 1280, 1312, 1409, 1422, 1445, 1682, 1693, 2328, 2797, 2824, 4128, 5567, 5575, 5741, 6434, 7070, 7738, 9647, 9708, 11097, 11964, 12331, 13248, 15167, 18319, 21733, 24035, 75866, 82263, 82263, 309701 ]
3
[ 0, 11, 3, 10, 0, 3, 8, 3, 12, 4, 1, 3, 0, 3, 2, 1, 2, 4, 1, 0, 2, 6, 0, 1, 1, 3, 1, 6, 0, 9, 1, 2, 2, 0, 2, 1, 3, 7, 1, 0, 1, 2, 3, 0, 2, 6, 1, 3, 7, 6, 5, 9, 0, 1, 14, 1, 4, 45, 24, 7, 10, 8, 4, 19, 24, 14, 5, 17, 15, 4, 21, 14, 8, 9, 121, 6, 48, 31, 22, 119, 5, 22, 3, 91, 231, 24, 125, 32, 97, 13, 23, 237, 11, 635, 469, 27, 1304, 1439, 8, 166, 693, 636, 668, 1909, 61, 1389, 867, 367, 917, 1919, 3152, 3414, 2302, 51831, 6397, 0, 227438 ]
117
1,527
[ 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1 ]
[ 0, 0, 3, 9, 10, 10, 12, 14, 17, 17, 19, 20, 26, 27, 30, 37, 46, 46, 51, 56, 56, 59, 65, 65, 66, 78, 83, 90, 93, 96, 106, 112, 112, 117, 132, 151, 172, 242, 243, 252, 284, 284, 285, 286, 300, 311, 314, 333, 381, 386, 392, 408, 474, 474, 645, 787, 838, 869, 921, 957, 1047, 1055, 1128, 1186, 1237, 1247, 1262, 1436, 1510, 1600, 1719, 2033, 2197, 2390, 2700, 2763, 2946, 3001, 3138, 3381, 3418, 3613, 3721, 3826, 4127, 4275, 4823, 5828, 5883, 5933, 5937, 6088, 6088, 6749, 7061, 7849, 7916, 8943, 9119, 10455, 11368, 13873, 14626, 18726, 21646, 31176, 31290, 32841, 36627, 37340, 46129, 49148, 49439, 51358, 51489, 51886, 52300, 52334, 52413, 52488, 57293, 59025, 76052, 76292, 79821, 85376, 85831, 85866, 92322, 98402, 124386, 131455, 133985, 134026, 134121, 134441, 149356, 149386, 162191, 165016, 168264, 168592, 168602, 168874, 172020, 172462, 174330, 186227, 188976, 189120, 198402, 213099, 218343, 223470, 223617, 223995, 224012, 224180, 224225, 225025, 225305, 225333, 227737, 227867, 229340, 229531, 231063, 234631, 235146, 240093, 244194, 244602, 244860, 259761, 259886, 261042, 269172, 306619, 307957, 315066, 315237, 318052, 332945, 380605, 396987, 400898, 405198, 430936, 430994, 459907, 482769, 483140, 485590, 521984, 596656, 599304 ]
3
[ 0, 0, 3, 6, 1, 0, 2, 2, 3, 0, 2, 1, 6, 1, 3, 7, 9, 0, 5, 5, 0, 3, 6, 0, 1, 12, 5, 7, 3, 3, 10, 6, 0, 5, 15, 19, 21, 70, 1, 9, 32, 0, 1, 1, 14, 11, 3, 19, 48, 5, 6, 16, 66, 0, 171, 142, 51, 31, 52, 36, 90, 8, 73, 58, 51, 10, 15, 174, 74, 90, 119, 314, 164, 193, 310, 63, 183, 55, 137, 243, 37, 195, 108, 105, 301, 148, 548, 1005, 55, 50, 4, 151, 0, 661, 312, 788, 67, 1027, 176, 1336, 913, 2505, 753, 4100, 2920, 9530, 114, 1551, 3786, 713, 8789, 3019, 291, 1919, 131, 397, 414, 34, 79, 75, 4805, 1732, 17027, 240, 3529, 5555, 455, 35, 6456, 6080, 25984, 7069, 2530, 41, 95, 320, 14915, 30, 12805, 2825, 3248, 328, 10, 272, 3146, 442, 1868, 11897, 2749, 144, 9282, 14697, 5244, 5127, 147, 378, 17, 168, 45, 800, 280, 28, 2404, 130, 1473, 191, 1532, 3568, 515, 4947, 4101, 408, 258, 14901, 125, 1156, 8130, 37447, 1338, 7109, 171, 2815, 14893, 47660, 16382, 3911, 4300, 25738, 58, 28913, 22862, 371, 2450, 36394, 74672, 2648 ]
196
1,528
[ 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1 ]
[ 0, 26, 35, 43, 47, 54, 73, 79, 83, 90, 108, 130, 199, 276, 414, 436, 462, 572, 586, 620, 699, 856, 1426, 1766, 1836, 1883, 1894, 2030, 2090, 2128, 2284, 2776, 2915, 3247, 4151, 4556, 4608, 5646, 10116, 10137, 10391, 10505, 13819, 15781, 16165, 18835, 20252, 20267, 20389, 20410, 20436, 20478, 22224, 24046, 24221, 24979, 26503, 27662, 27854, 32933, 38210, 40182, 41644, 41670, 41737, 41795, 45249, 52856, 67671, 69412, 69615, 69680, 70745, 75304, 76228, 79668, 79779, 84877, 97150, 99232, 102430, 102635, 102835, 103906, 108028, 108432, 108889, 111458, 113522, 142961, 149514, 221351, 221397, 221417, 221709, 221730, 221741, 221781, 222022, 222338, 222901, 223278, 223858, 253256, 253888, 278374, 278512, 278789, 281139, 281156, 281186, 281209, 281268, 285520, 312956, 317144, 397121 ]
3
[ 0, 26, 9, 8, 4, 7, 19, 6, 4, 7, 18, 22, 69, 77, 138, 22, 26, 110, 14, 34, 79, 157, 570, 340, 70, 47, 11, 136, 60, 38, 156, 492, 139, 332, 904, 405, 52, 1038, 4470, 21, 254, 114, 3314, 1962, 384, 2670, 1417, 15, 122, 21, 26, 42, 1746, 1822, 175, 758, 1524, 1159, 192, 5079, 5277, 1972, 1462, 26, 67, 58, 3454, 7607, 14815, 1741, 203, 65, 1065, 4559, 924, 3440, 111, 5098, 12273, 2082, 3198, 205, 200, 1071, 4122, 404, 457, 2569, 2064, 29439, 6553, 71837, 46, 20, 292, 21, 11, 40, 241, 316, 563, 377, 580, 29398, 632, 24486, 138, 277, 2350, 17, 30, 23, 59, 4252, 27436, 4188, 79977 ]
117
1,529
[ 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1 ]
[ 0, 85, 179, 184, 191, 234, 244, 319, 343, 397, 456, 567, 872, 1051, 1074, 1116, 1693, 2158, 2631, 2892, 2943, 3401, 3471, 6435, 6533, 8418, 8555, 10342, 11909, 12015, 12042, 12224, 12422, 12537, 13707, 14024, 14319, 14343, 14429, 14438, 14916, 15262, 15359, 15860, 16081, 16086, 16224, 16258, 16350, 16382, 16469, 16480, 16505, 16616, 16636, 16859, 17180, 17202, 17211, 17234, 17505, 17554, 17578, 17668, 18149, 18255, 18304, 18483, 18518, 18729, 18874, 18976, 19011, 19639, 19679, 19837, 20106, 20244, 21166, 21544, 21795, 21837, 22080, 22543, 22723, 22803, 22958, 23694, 24153, 24531, 26868, 27168, 27278, 27786, 28481, 29501, 30316, 35405, 36790, 50065, 50698, 55755, 59820, 74766 ]
3
[ 0, 85, 94, 5, 7, 43, 10, 75, 24, 54, 59, 111, 305, 179, 23, 42, 577, 465, 473, 261, 51, 458, 70, 2964, 98, 1885, 137, 1787, 1567, 106, 27, 182, 198, 115, 1170, 317, 295, 24, 86, 9, 478, 346, 97, 501, 221, 5, 138, 34, 92, 32, 87, 11, 25, 111, 20, 223, 321, 22, 9, 23, 271, 49, 24, 90, 481, 106, 49, 179, 35, 211, 145, 102, 35, 628, 40, 158, 269, 138, 922, 378, 251, 42, 243, 463, 180, 80, 155, 736, 459, 378, 2337, 300, 110, 508, 695, 1020, 815, 5089, 1385, 13275, 633, 5057, 4065, 14946 ]
104
1,530
[ 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0 ]
[ 0, 7, 25, 33, 36, 47, 53, 85, 97, 106, 106, 150, 156, 169, 199, 205, 208, 218, 282, 294, 302, 377, 381, 501, 525, 541, 563, 587, 594, 676, 680, 736, 789, 905, 1014, 1016, 1186, 1334, 1354, 1356, 1395, 1465, 1524, 2180, 2609, 3314, 4968, 7249, 7846, 9102, 11485, 12424, 15400, 16485, 19393, 22436, 41529, 50948, 57050, 61867, 288949 ]
3
[ 0, 7, 18, 8, 3, 11, 6, 32, 12, 9, 0, 44, 6, 13, 30, 6, 3, 10, 64, 12, 8, 75, 4, 120, 24, 16, 22, 24, 7, 82, 4, 56, 53, 116, 109, 2, 170, 148, 20, 2, 39, 70, 59, 656, 429, 705, 1654, 2281, 597, 1256, 2383, 939, 2976, 1085, 2908, 3043, 19093, 9419, 6102, 4817, 227082 ]
61
1,531
[ 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 3, 11, 29, 30, 34, 47, 55, 60, 63, 86, 89, 89, 95, 131, 150, 217, 239, 240, 244, 251, 267, 277, 304, 313, 317, 326, 390, 440, 479, 515, 527, 538, 543, 547, 555, 560, 566, 573, 637, 685, 728, 782, 792, 856, 861, 862, 862, 885, 908, 970, 1060, 1063, 1116, 1197, 1235, 1339, 1418, 1447, 1488, 1872, 2769, 3410, 3554, 3622, 3714, 3737, 5402, 25203, 30695, 30771, 30975, 31401, 31459, 32445, 33013, 43421, 43422, 49700, 70649, 120347, 124041, 151462, 180728, 232123, 232375, 233191, 233265, 233280, 233387, 233647, 233806, 395835, 395947, 396359 ]
3
[ 0, 3, 8, 18, 1, 4, 13, 8, 5, 3, 23, 3, 0, 6, 36, 19, 67, 22, 1, 4, 7, 16, 10, 27, 9, 4, 9, 64, 50, 39, 36, 12, 11, 5, 4, 8, 5, 6, 7, 64, 48, 43, 54, 10, 64, 5, 1, 0, 23, 23, 62, 90, 3, 53, 81, 38, 104, 79, 29, 41, 384, 897, 641, 144, 68, 92, 23, 1665, 19801, 5492, 76, 204, 426, 58, 986, 568, 10408, 1, 6278, 20949, 49698, 3694, 27421, 29266, 51395, 252, 816, 74, 15, 107, 260, 159, 162029, 112, 412 ]
95
1,532
[ 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0 ]
[ 0, 5, 6, 61, 63, 68, 69, 78, 79, 84, 88, 88, 89, 91, 92, 92, 97, 99, 103, 106, 111, 115, 118, 121, 122, 123, 130, 132, 133, 134, 139, 142, 142, 144, 144, 145, 156, 163, 166, 169, 170, 175, 176, 191, 192, 192, 195, 201, 203, 258, 263, 263, 269, 291, 296, 302, 304, 307, 325, 334, 339, 340, 362, 398, 525, 540, 556, 566, 567, 584, 587, 590, 623, 792, 805, 806, 834, 851, 1023, 1158, 1291, 1399, 1751, 1824, 2215, 2318, 2340, 2468, 2649, 2650, 2724, 2899, 2997, 3538, 3864, 3974, 3974, 4100, 5029, 5952, 6404, 6566, 6970, 7797, 7815, 8192, 9320, 9406, 12485, 12964, 14184, 14289, 14499, 14788, 17313, 18054, 18123, 20063, 21127, 21331, 21898, 21993, 22664, 22836, 25110, 26345, 27167, 27482, 27557, 28589, 28635, 29399, 29496, 29709, 31043, 31752, 35166, 36742, 38052, 38058, 38869, 39096, 39151, 42210, 43254, 43455, 45880, 46743, 50439, 55388, 55613, 68845, 69136, 72336, 73538, 74403, 74477, 75239, 77151, 78038, 90166, 107293, 145171, 149134, 151849, 159894, 161744, 161776, 161833, 162199, 162978, 163770, 167310, 167445, 168657, 170170, 173155, 181141, 181681, 185782, 203453, 204138, 208171, 208907, 211103, 211960, 212929, 214742, 216755, 233134, 239384, 240399, 246339, 246603, 250224, 273288, 286542, 317440, 340214, 341153, 391266, 429060, 439892, 582305, 588035, 593840 ]
3
[ 0, 5, 1, 55, 2, 5, 1, 9, 1, 5, 4, 0, 1, 2, 1, 0, 5, 2, 4, 3, 5, 4, 3, 3, 1, 1, 7, 2, 1, 1, 5, 3, 0, 2, 0, 1, 11, 7, 3, 3, 1, 5, 1, 15, 1, 0, 3, 6, 2, 55, 5, 0, 6, 22, 5, 6, 2, 3, 18, 9, 5, 1, 22, 36, 127, 15, 16, 10, 1, 17, 3, 3, 33, 169, 13, 1, 28, 17, 172, 135, 133, 108, 352, 73, 391, 103, 22, 128, 181, 1, 74, 175, 98, 541, 326, 110, 0, 126, 929, 923, 452, 162, 404, 827, 18, 377, 1128, 86, 3079, 479, 1220, 105, 210, 289, 2525, 741, 69, 1940, 1064, 204, 567, 95, 671, 172, 2274, 1235, 822, 315, 75, 1032, 46, 764, 97, 213, 1334, 709, 3414, 1576, 1310, 6, 811, 227, 55, 3059, 1044, 201, 2425, 863, 3696, 4949, 225, 13232, 291, 3200, 1202, 865, 74, 762, 1912, 887, 12128, 17127, 37878, 3963, 2715, 8045, 1850, 32, 57, 366, 779, 792, 3540, 135, 1212, 1513, 2985, 7986, 540, 4101, 17671, 685, 4033, 736, 2196, 857, 969, 1813, 2013, 16379, 6250, 1015, 5940, 264, 3621, 23064, 13254, 30898, 22774, 939, 50113, 37794, 10832, 142413, 5730, 5805 ]
206
1,533
[ 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 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, 1, 0, 0, 0, 1, 0, 1 ]
[ 0, 4, 17, 21, 30, 34, 41, 42, 42, 43, 46, 68, 68, 68, 71, 78, 80, 81, 85, 88, 89, 90, 93, 109, 113, 115, 120, 131, 132, 141, 147, 158, 166, 176, 177, 196, 197, 225, 266, 388, 405, 441, 681, 770, 988, 1108, 1439, 1936, 2305, 2739, 2852, 3424, 7466, 9732, 12198, 13956, 18289, 22511, 70224, 336392 ]
3
[ 0, 4, 13, 4, 9, 4, 7, 1, 0, 1, 3, 22, 0, 0, 3, 7, 2, 1, 4, 3, 1, 1, 3, 16, 4, 2, 5, 11, 1, 9, 6, 11, 8, 10, 1, 19, 1, 28, 41, 122, 17, 36, 240, 89, 218, 120, 331, 497, 369, 434, 113, 572, 4042, 2266, 2466, 1758, 4333, 4222, 47713, 266168 ]
60
1,534
[ 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1 ]
[ 0, 1, 1, 5, 6, 8, 12, 13, 14, 15, 15, 19, 24, 35, 35, 38, 43, 48, 48, 49, 49, 51, 55, 57, 61, 63, 69, 71, 72, 77, 79, 80, 82, 85, 87, 89, 89, 93, 93, 98, 103, 112, 115, 123, 126, 132, 133, 137, 185, 188, 191, 195, 245, 256, 256, 265, 269, 269, 358, 365, 468, 1017, 1683, 2309, 4075, 4139, 15733, 19448, 28752, 46706, 46755, 62143, 78192, 93491 ]
3
[ 0, 1, 0, 4, 1, 2, 4, 1, 1, 1, 0, 4, 5, 11, 0, 3, 5, 5, 0, 1, 0, 2, 4, 2, 4, 2, 6, 2, 1, 5, 2, 1, 2, 3, 2, 2, 0, 4, 0, 5, 5, 9, 3, 8, 3, 6, 1, 4, 48, 3, 3, 4, 50, 11, 0, 9, 4, 0, 89, 7, 103, 549, 666, 626, 1766, 64, 11594, 3715, 9304, 17954, 49, 15388, 16049, 15299 ]
74
1,535
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1 ]
[ 0, 15, 56, 63, 93, 95, 102, 107, 112, 116, 123, 138, 146, 171, 178, 257, 257, 281, 318, 336, 410, 423, 426, 432, 486, 501, 618, 707, 728, 738, 755, 778, 781, 817, 825, 898, 918, 927, 940, 1001, 1003, 1051, 1060, 1122, 1151, 1184, 1226, 1378, 1931, 2159, 2356, 2393, 2819, 2901, 3177, 3199, 3315, 3315, 3394, 3394, 3421, 3610, 3755, 3823, 4081, 4210, 4315, 4422, 4572, 5115, 5206, 6359, 6394, 6829, 6880, 6886, 7489, 7504, 7903, 7905, 8130, 8544, 9921, 10180, 11099, 11321, 12270, 12675, 13052, 16616, 17017, 18115, 24579, 25372, 27573, 43926, 47307, 63105, 70552, 76280, 82405, 89222, 164839, 170452, 193288, 391031, 444003, 463921, 541238 ]
3
[ 0, 15, 41, 7, 30, 2, 7, 5, 5, 4, 7, 15, 8, 25, 7, 79, 0, 24, 37, 18, 74, 13, 3, 6, 54, 15, 117, 89, 21, 10, 17, 23, 3, 36, 8, 73, 20, 9, 13, 61, 2, 48, 9, 62, 29, 33, 42, 152, 553, 228, 197, 37, 426, 82, 276, 22, 116, 0, 79, 0, 27, 189, 145, 68, 258, 129, 105, 107, 150, 543, 91, 1153, 35, 435, 51, 6, 603, 15, 399, 2, 225, 414, 1377, 259, 919, 222, 949, 405, 377, 3564, 401, 1098, 6464, 793, 2201, 16353, 3381, 15798, 7447, 5728, 6125, 6817, 75617, 5613, 22836, 197743, 52972, 19918, 77317 ]
109
1,536
[ 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0 ]
[ 0, 14, 36, 50, 58, 61, 62, 88, 110, 145, 146, 149, 149, 179, 207, 230, 234, 241, 245, 294, 325, 331, 354, 379, 416, 547, 630, 634, 820, 831, 845, 851, 911, 1328, 1366, 1392, 1521, 1680, 1707, 1803, 1848, 1854, 2074, 2132, 2336, 2439, 2784, 2845, 3232, 90840, 90900, 90919, 91018, 91034, 91042, 91054, 91057, 91060, 91069, 91077, 91105, 91130, 91268, 91279, 91284, 91298, 91317, 91527, 91554, 91566, 91594, 91725, 91805, 91885, 91918, 91938, 92205, 92565, 92581, 92589, 93736, 93762, 93858, 93994, 94592, 96377, 96439, 96455, 490745, 491019, 491116 ]
3
[ 0, 14, 22, 14, 8, 3, 1, 26, 22, 35, 1, 3, 0, 30, 28, 23, 4, 7, 4, 49, 31, 6, 23, 25, 37, 131, 83, 4, 186, 11, 14, 6, 60, 417, 38, 26, 129, 159, 27, 96, 45, 6, 220, 58, 204, 103, 345, 61, 387, 87608, 60, 19, 99, 16, 8, 12, 3, 3, 9, 8, 28, 25, 138, 11, 5, 14, 19, 210, 27, 12, 28, 131, 80, 80, 33, 20, 267, 360, 16, 8, 1147, 26, 96, 136, 598, 1785, 62, 16, 394290, 274, 97 ]
91
1,537
[ 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, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1 ]
[ 0, 1, 2, 2, 22, 29, 31, 32, 37, 45, 47, 50, 56, 59, 68, 71, 72, 93, 98, 118, 120, 125, 131, 142, 150, 156, 163, 173, 183, 195, 199, 221, 221, 242, 260, 278, 280, 281, 282, 282, 284, 292, 297, 302, 306, 307, 321, 332, 335, 341, 343, 358, 363, 366, 372, 375, 403, 422, 424, 432, 443, 471, 489, 497, 498, 509, 514, 553, 611, 614, 655, 657, 661, 696, 702, 716, 718, 736, 755, 763, 854, 873, 888, 899, 968, 968, 979, 982, 1029, 1037, 1081, 1114, 1120, 1137, 1152, 1204, 1291, 1313, 1337, 1340, 1348, 1407, 1464, 1489, 1522, 1523, 1562, 1579, 1764, 1783, 1863, 1888, 1982, 2093, 2161, 2168, 2239, 2286, 2358, 2435, 2452, 2538, 2685, 2797, 2922, 2960, 2960, 3188, 3259, 3276, 3283, 3542, 3583, 3695, 3721, 3724, 3741, 3885, 3904, 3933, 4024, 4025, 4528, 4529, 4596, 4745, 4975, 5040, 5146, 5189, 5217, 5524, 5724, 5923, 6261, 7016, 7064, 7397, 7554, 7593, 7593, 8318, 9274, 9510, 9623, 9643, 9988, 10344, 10709, 10812, 10937, 11090, 11850, 12548, 12663, 13141, 13148, 13826, 14216, 14902, 15287, 15478, 16017, 16085, 16355, 16579, 16844, 17015, 17089, 17975, 18261, 18503, 18538, 19024, 19481, 19703, 19756, 20173, 20669, 20945, 21525, 21576, 22063, 23116, 23506, 23598, 24780, 25194, 25572, 25677, 25815, 26525, 27473, 27918, 28556, 28799, 30317, 31410, 33037, 33138, 33229, 34535, 35118, 36242, 37736, 40301, 45567, 47401, 47645, 50005, 50046, 51893, 137706, 151082 ]
3
[ 0, 1, 1, 0, 20, 7, 2, 1, 5, 8, 2, 3, 6, 3, 9, 3, 1, 21, 5, 20, 2, 5, 6, 11, 8, 6, 7, 10, 10, 12, 4, 22, 0, 21, 18, 18, 2, 1, 1, 0, 2, 8, 5, 5, 4, 1, 14, 11, 3, 6, 2, 15, 5, 3, 6, 3, 28, 19, 2, 8, 11, 28, 18, 8, 1, 11, 5, 39, 58, 3, 41, 2, 4, 35, 6, 14, 2, 18, 19, 8, 91, 19, 15, 11, 69, 0, 11, 3, 47, 8, 44, 33, 6, 17, 15, 52, 87, 22, 24, 3, 8, 59, 57, 25, 33, 1, 39, 17, 185, 19, 80, 25, 94, 111, 68, 7, 71, 47, 72, 77, 17, 86, 147, 112, 125, 38, 0, 228, 71, 17, 7, 259, 41, 112, 26, 3, 17, 144, 19, 29, 91, 1, 503, 1, 67, 149, 230, 65, 106, 43, 28, 307, 200, 199, 338, 755, 48, 333, 157, 39, 0, 725, 956, 236, 113, 20, 345, 356, 365, 103, 125, 153, 760, 698, 115, 478, 7, 678, 390, 686, 385, 191, 539, 68, 270, 224, 265, 171, 74, 886, 286, 242, 35, 486, 457, 222, 53, 417, 496, 276, 580, 51, 487, 1053, 390, 92, 1182, 414, 378, 105, 138, 710, 948, 445, 638, 243, 1518, 1093, 1627, 101, 91, 1306, 583, 1124, 1494, 2565, 5266, 1834, 244, 2360, 41, 1847, 85813, 13376 ]
234
1,538
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
[ 0, 2, 4, 8, 21, 30, 39, 54, 54, 58, 59, 78, 88, 95, 100, 133, 235, 248, 304, 401, 621, 682, 732, 750, 799, 938, 1031, 1381, 1467, 1473, 1658, 1727, 1901, 2012, 2534, 2540, 2602, 2827, 3373, 3532, 5083, 5137, 5296, 5540, 5762, 6526, 6887, 7444, 7510, 7602, 8609, 10880, 12185, 13092, 22015, 22183, 24482, 29760, 29760, 33366, 42845, 196221, 561054 ]
3
[ 0, 2, 2, 4, 13, 9, 9, 15, 0, 4, 1, 19, 10, 7, 5, 33, 102, 13, 56, 97, 220, 61, 50, 18, 49, 139, 93, 350, 86, 6, 185, 69, 174, 111, 522, 6, 62, 225, 546, 159, 1551, 54, 159, 244, 222, 764, 361, 557, 66, 92, 1007, 2271, 1305, 907, 8923, 168, 2299, 5278, 0, 3606, 9479, 153376, 364833 ]
63
1,539
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0 ]
[ 0, 3, 4, 17, 40, 43, 49, 51, 70, 84, 86, 89, 92, 99, 102, 125, 125, 142, 161, 165, 168, 173, 176, 179, 190, 191, 192, 203, 206, 243, 246, 247, 249, 256, 261, 267, 305, 319, 322, 323, 349, 354, 399, 418, 460, 516, 552, 616, 664, 675, 698, 733, 743, 748, 764, 857, 953, 1039, 1077, 1134, 1137, 1248, 1280, 1446, 1500, 1577, 1665, 1704, 1966, 2144, 2153, 2170, 2843, 2894, 2946, 3178, 3860, 6540, 6549, 8028, 10447, 11202, 14499, 15515, 19214, 70116, 87467, 124225 ]
3
[ 0, 3, 1, 13, 23, 3, 6, 2, 19, 14, 2, 3, 3, 7, 3, 23, 0, 17, 19, 4, 3, 5, 3, 3, 11, 1, 1, 11, 3, 37, 3, 1, 2, 7, 5, 6, 38, 14, 3, 1, 26, 5, 45, 19, 42, 56, 36, 64, 48, 11, 23, 35, 10, 5, 16, 93, 96, 86, 38, 57, 3, 111, 32, 166, 54, 77, 88, 39, 262, 178, 9, 17, 673, 51, 52, 232, 682, 2680, 9, 1479, 2419, 755, 3297, 1016, 3699, 50902, 17351, 36758 ]
88
1,540
[ 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0 ]
[ 0, 1, 2, 4, 8, 9, 10, 13, 14, 15, 15, 16, 18, 21, 28, 34, 36, 40, 40, 41, 41, 41, 46, 47, 51, 52, 53, 53, 54, 54, 58, 60, 60, 67, 70, 79, 80, 81, 87, 88, 89, 91, 94, 97, 104, 106, 113, 117, 120, 127, 130, 144, 149, 157, 158, 164, 175, 176, 188, 190, 206, 232, 239, 254, 271, 396, 451, 558, 563, 685, 814, 864, 868, 913, 915, 2066, 2205, 3650, 3651, 5572, 9546, 11687, 11782, 23848, 44512 ]
3
[ 0, 1, 1, 2, 4, 1, 1, 3, 1, 1, 0, 1, 2, 3, 7, 6, 2, 4, 0, 1, 0, 0, 5, 1, 4, 1, 1, 0, 1, 0, 4, 2, 0, 7, 3, 9, 1, 1, 6, 1, 1, 2, 3, 3, 7, 2, 7, 4, 3, 7, 3, 14, 5, 8, 1, 6, 11, 1, 12, 2, 16, 26, 7, 15, 17, 125, 55, 107, 5, 122, 129, 50, 4, 45, 2, 1151, 139, 1445, 1, 1921, 3974, 2141, 95, 12066, 20664 ]
85
1,541
[ 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0 ]
[ 0, 33, 82, 546, 1108, 45817, 46051, 47559, 51273, 51340, 51356, 54785, 54812, 54814, 54818, 54818, 54832, 54843, 54846, 54854, 54854, 54861, 54866, 54889, 54910, 54918, 54918, 54925, 54927, 54929, 54938, 54989, 55002, 55010, 55031, 55042, 55066, 55109, 55154, 55237, 55290, 55334, 55566, 55692, 55741, 55837, 56207, 58985, 59146, 59798, 59918, 61924, 63526, 63579, 63651, 63664, 63709, 63766, 63923, 64910, 67736, 106736, 106815, 106841, 106933, 107068, 142584, 142660, 142666, 142684, 143136, 144374, 152611, 282627, 282644, 282719, 282828, 282997, 283032, 283051, 283205, 283318, 320735, 320767, 320771, 320820, 320826, 320837, 320837, 320903, 320974, 321174, 321355, 321443, 321857, 322486, 322526, 324396, 397185, 397222, 397240, 400614, 407158, 407198, 407203, 407211, 407218, 407252, 407262, 407272, 407278, 407287, 407291, 407291, 407292, 407415, 407461, 407628, 407651, 407733, 407753, 408218, 408290, 409240, 412802, 412816, 412821, 412828, 412842, 412843, 412870, 412874, 412940, 413172, 413442, 414937, 485039, 485277, 486247, 486623, 486665, 494896, 494942, 494952, 494986, 501382, 501456, 501456, 501457, 501482, 501510, 501590, 501677, 501780, 529041, 529053, 529058, 529095, 529095, 529104, 529105, 529146, 529153, 529166, 529238, 529386, 534070, 534236, 534309, 534406, 534423, 534891, 534943, 535232, 554625, 554700, 554903, 554905, 555246, 555299, 564315, 564362, 564370, 564547, 564626, 564794, 565275, 589108, 589151, 589161, 589167, 589167, 589344 ]
3
[ 0, 33, 49, 464, 562, 44709, 234, 1508, 3714, 67, 16, 3429, 27, 2, 4, 0, 14, 11, 3, 8, 0, 7, 5, 23, 21, 8, 0, 7, 2, 2, 9, 51, 13, 8, 21, 11, 24, 43, 45, 83, 53, 44, 232, 126, 49, 96, 370, 2778, 161, 652, 120, 2006, 1602, 53, 72, 13, 45, 57, 157, 987, 2826, 39000, 79, 26, 92, 135, 35516, 76, 6, 18, 452, 1238, 8237, 130016, 17, 75, 109, 169, 35, 19, 154, 113, 37417, 32, 4, 49, 6, 11, 0, 66, 71, 200, 181, 88, 414, 629, 40, 1870, 72789, 37, 18, 3374, 6544, 40, 5, 8, 7, 34, 10, 10, 6, 9, 4, 0, 1, 123, 46, 167, 23, 82, 20, 465, 72, 950, 3562, 14, 5, 7, 14, 1, 27, 4, 66, 232, 270, 1495, 70102, 238, 970, 376, 42, 8231, 46, 10, 34, 6396, 74, 0, 1, 25, 28, 80, 87, 103, 27261, 12, 5, 37, 0, 9, 1, 41, 7, 13, 72, 148, 4684, 166, 73, 97, 17, 468, 52, 289, 19393, 75, 203, 2, 341, 53, 9016, 47, 8, 177, 79, 168, 481, 23833, 43, 10, 6, 0, 177 ]
193
1,542
[ 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0 ]
[ 0, 4, 8, 16, 56, 80, 101, 106, 110, 117, 164, 193, 228, 238, 249, 266, 274, 297, 309, 319, 352, 357, 365, 365, 373, 374, 388, 393, 399, 407, 408, 415, 419, 420, 426, 429, 442, 453, 455, 461, 466, 473, 473, 490, 492, 497, 504, 507, 544, 550, 551, 571, 580, 584, 585, 588, 627, 630, 646, 658, 680, 687, 760, 774, 830, 881, 896, 912, 932, 966, 969, 1129, 1214, 1372, 1415, 1495, 1514, 1951, 1986, 2544, 2563, 2847, 3240, 5043, 6053, 6410, 6908, 9047, 9213, 9772, 9818, 10983, 11848, 12217, 12952, 13522, 16201, 19808, 29644, 30672, 30760, 31087, 31263, 32994, 34542, 80142, 101653, 114477, 150024, 173204 ]
3
[ 0, 4, 4, 8, 40, 24, 21, 5, 4, 7, 47, 29, 35, 10, 11, 17, 8, 23, 12, 10, 33, 5, 8, 0, 8, 1, 14, 5, 6, 8, 1, 7, 4, 1, 6, 3, 13, 11, 2, 6, 5, 7, 0, 17, 2, 5, 7, 3, 37, 6, 1, 20, 9, 4, 1, 3, 39, 3, 16, 12, 22, 7, 73, 14, 56, 51, 15, 16, 20, 34, 3, 160, 85, 158, 43, 80, 19, 437, 35, 558, 19, 284, 393, 1803, 1010, 357, 498, 2139, 166, 559, 46, 1165, 865, 369, 735, 570, 2679, 3607, 9836, 1028, 88, 327, 176, 1731, 1548, 45600, 21511, 12824, 35547, 23180 ]
110
1,543
[ 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1 ]
[ 0, 9, 14, 19, 19, 34, 41, 42, 44, 66, 80, 85, 89, 98, 117, 118, 122, 137, 156, 158, 166, 184, 202, 206, 222, 223, 244, 246, 328, 340, 398, 411, 434, 443, 473, 489, 511, 519, 530, 555, 575, 582, 630, 637, 787, 831, 926, 994, 1062, 1083, 1096, 1119, 1200, 1239, 1295, 1313, 1360, 1383, 1463, 1490, 1562, 1595, 1613, 1766, 1825, 1835, 1978, 2093, 2134, 2175, 2200, 2447, 2474, 2531, 2605, 2605, 2887, 3220, 3309, 3345, 3480, 3525, 3570, 3663, 3729, 3730, 4217, 4217, 4256, 4356, 4573, 4730, 5003, 5158, 5298, 5417, 5705, 7895, 8266, 10857, 12307, 12832, 13254, 14126, 16749, 17921, 19515, 20702, 20908, 23149, 29466, 30109, 109469, 110243 ]
3
[ 0, 9, 5, 5, 0, 15, 7, 1, 2, 22, 14, 5, 4, 9, 19, 1, 4, 15, 19, 2, 8, 18, 18, 4, 16, 1, 21, 2, 82, 12, 58, 13, 23, 9, 30, 16, 22, 8, 11, 25, 20, 7, 48, 7, 150, 44, 95, 68, 68, 21, 13, 23, 81, 39, 56, 18, 47, 23, 80, 27, 72, 33, 18, 153, 59, 10, 143, 115, 41, 41, 25, 247, 27, 57, 74, 0, 282, 333, 89, 36, 135, 45, 45, 93, 66, 1, 487, 0, 39, 100, 217, 157, 273, 155, 140, 119, 288, 2190, 371, 2591, 1450, 525, 422, 872, 2623, 1172, 1594, 1187, 206, 2241, 6317, 643, 79360, 774 ]
114
1,544
[ 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 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, 1, 0, 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, 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, 2, 3, 14, 30, 45, 51, 58, 60, 65, 70, 73, 81, 90, 103, 108, 109, 117, 130, 144, 148, 149, 197, 221, 221, 232, 301, 318, 321, 324, 362, 370, 467, 470, 484, 511, 911, 923, 1026, 1150, 1292, 1425, 1848, 1865, 1891, 2634, 2787, 3799, 3817, 3911, 5552, 5681, 8200, 13999, 14528, 15168, 15719, 160789, 360085 ]
3
[ 0, 2, 1, 11, 16, 15, 6, 7, 2, 5, 5, 3, 8, 9, 13, 5, 1, 8, 13, 14, 4, 1, 48, 24, 0, 11, 69, 17, 3, 3, 38, 8, 97, 3, 14, 27, 400, 12, 103, 124, 142, 133, 423, 17, 26, 743, 153, 1012, 18, 94, 1641, 129, 2519, 5799, 529, 640, 551, 145070, 199296 ]
59
1,545
[ 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0 ]
[ 0, 5, 8, 14, 15, 16, 17, 18, 20, 21, 21, 27, 29, 34, 36, 37, 38, 40, 43, 43, 44, 45, 46, 49, 50, 52, 53, 54, 54, 58, 62, 63, 64, 66, 68, 69, 69, 70, 71, 72, 73, 74, 79, 79, 84, 87, 88, 88, 89, 91, 91, 94, 96, 98, 99, 100, 105, 105, 105, 107, 110, 112, 122, 124, 127, 132, 134, 136, 140, 144, 153, 153, 154, 155, 166, 174, 176, 181, 186, 199, 202, 218, 220, 228, 232, 236, 239, 241, 246, 248, 251, 251, 265, 268, 279, 295, 298, 303, 313, 318, 333, 339, 356, 358, 359, 377, 384, 385, 390, 423, 476, 491, 511, 564, 597, 731, 734, 749, 778, 807, 814, 814, 818, 866, 910, 941, 954, 993, 1044, 1074, 1160, 1216, 1238, 1239, 1241, 1346, 1351, 1358, 1423, 1427, 1435, 1603, 1988, 2077, 2098, 2108, 2154, 2238, 2260, 2274, 2651, 2837, 2901, 2995, 3001, 3249, 3454, 3505, 3598, 3706, 3861, 3867, 4078, 4411, 4717, 4961, 5427, 5524, 5595, 5631, 5641, 6162, 7110, 7737, 7781, 8012, 8985, 10612, 13192, 13538, 14681, 15668, 16950, 19745, 27279, 29439, 31686, 33261, 33292, 33590, 34864, 35886, 36212, 37134, 38177, 38316, 38678, 39183, 39517, 40068, 44167, 47262, 51366, 51561, 52589, 52751, 55541, 56054, 58787, 61455, 64181, 70766, 72810, 87073, 88947, 90320, 97470, 135955, 157435, 164138, 169958, 172013, 177530, 320952, 351521 ]
3
[ 0, 5, 3, 6, 1, 1, 1, 1, 2, 1, 0, 6, 2, 5, 2, 1, 1, 2, 3, 0, 1, 1, 1, 3, 1, 2, 1, 1, 0, 4, 4, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 5, 0, 5, 3, 1, 0, 1, 2, 0, 3, 2, 2, 1, 1, 5, 0, 0, 2, 3, 2, 10, 2, 3, 5, 2, 2, 4, 4, 9, 0, 1, 1, 11, 8, 2, 5, 5, 13, 3, 16, 2, 8, 4, 4, 3, 2, 5, 2, 3, 0, 14, 3, 11, 16, 3, 5, 10, 5, 15, 6, 17, 2, 1, 18, 7, 1, 5, 33, 53, 15, 20, 53, 33, 134, 3, 15, 29, 29, 7, 0, 4, 48, 44, 31, 13, 39, 51, 30, 86, 56, 22, 1, 2, 105, 5, 7, 65, 4, 8, 168, 385, 89, 21, 10, 46, 84, 22, 14, 377, 186, 64, 94, 6, 248, 205, 51, 93, 108, 155, 6, 211, 333, 306, 244, 466, 97, 71, 36, 10, 521, 948, 627, 44, 231, 973, 1627, 2580, 346, 1143, 987, 1282, 2795, 7534, 2160, 2247, 1575, 31, 298, 1274, 1022, 326, 922, 1043, 139, 362, 505, 334, 551, 4099, 3095, 4104, 195, 1028, 162, 2790, 513, 2733, 2668, 2726, 6585, 2044, 14263, 1874, 1373, 7150, 38485, 21480, 6703, 5820, 2055, 5517, 143422, 30569 ]
225
1,546
[ 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0 ]
[ 0, 8, 12, 19, 24, 25, 91, 94, 101, 102, 102, 102, 105, 107, 119, 121, 131, 133, 138, 139, 145, 146, 155, 164, 181, 182, 187, 193, 199, 202, 207, 210, 212, 236, 241, 250, 263, 270, 275, 280, 286, 301, 304, 347, 350, 367, 370, 375, 381, 384, 397, 475, 480, 507, 518, 533, 603, 628, 635, 644, 661, 664, 677, 695, 698, 718, 729, 748, 765, 809, 931, 986, 1015, 1049, 1057, 1094, 1100, 1261, 1348, 1363, 1423, 1436, 1551, 1552, 1589, 1704, 1712, 1823, 1862, 1886, 1946, 1960, 2021, 2057, 2099, 2180, 2186, 2436, 2652, 2706, 2744, 2785, 2868, 3453, 3921, 3943, 4016, 4180, 4497, 4707, 4744, 4954, 5139, 5488, 5530, 6135, 7817, 7883, 9077, 9304, 9331, 9443, 9475, 9714, 9727, 12074, 12176, 12732, 13922, 16797, 19861, 21555, 23908, 24882, 25694, 26497, 27747, 27768, 28603, 29217, 29848, 31783, 32151, 32438, 33656, 34729, 34804, 37072, 37197, 40757, 52177, 53051, 56092, 57572, 63666, 63666, 65608, 79541, 91166, 93927, 98483, 111820, 144548, 182298, 222997, 480492, 480824, 547065, 598831 ]
3
[ 0, 8, 4, 7, 5, 1, 66, 3, 7, 1, 0, 0, 3, 2, 12, 2, 10, 2, 5, 1, 6, 1, 9, 9, 17, 1, 5, 6, 6, 3, 5, 3, 2, 24, 5, 9, 13, 7, 5, 5, 6, 15, 3, 43, 3, 17, 3, 5, 6, 3, 13, 78, 5, 27, 11, 15, 70, 25, 7, 9, 17, 3, 13, 18, 3, 20, 11, 19, 17, 44, 122, 55, 29, 34, 8, 37, 6, 161, 87, 15, 60, 13, 115, 1, 37, 115, 8, 111, 39, 24, 60, 14, 61, 36, 42, 81, 6, 250, 216, 54, 38, 41, 83, 585, 468, 22, 73, 164, 317, 210, 37, 210, 185, 349, 42, 605, 1682, 66, 1194, 227, 27, 112, 32, 239, 13, 2347, 102, 556, 1190, 2875, 3064, 1694, 2353, 974, 812, 803, 1250, 21, 835, 614, 631, 1935, 368, 287, 1218, 1073, 75, 2268, 125, 3560, 11420, 874, 3041, 1480, 6094, 0, 1942, 13933, 11625, 2761, 4556, 13337, 32728, 37750, 40699, 257495, 332, 66241, 51766 ]
169
1,547
[ 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0 ]
[ 0, 1955, 2628, 11527, 16633, 17733, 20190, 20711, 21290, 21922, 23159, 24270, 24626, 24640, 26674, 27534, 28742, 29215, 29358, 29630, 31026, 31206, 31346, 32362, 32481, 33874, 33874, 34331, 34699, 35741, 36824, 37318, 37729, 38999, 39048, 40090, 41205, 41304, 48463, 56657, 58657, 60577, 64251, 64328, 66510, 67020, 67161, 68298, 76647, 110421, 119356, 125090, 138013, 143326, 143341, 155800, 187354, 203338, 206674, 227466, 240072, 247474, 295439, 301935, 403303 ]
3
[ 0, 1955, 673, 8899, 5106, 1100, 2457, 521, 579, 632, 1237, 1111, 356, 14, 2034, 860, 1208, 473, 143, 272, 1396, 180, 140, 1016, 119, 1393, 0, 457, 368, 1042, 1083, 494, 411, 1270, 49, 1042, 1115, 99, 7159, 8194, 2000, 1920, 3674, 77, 2182, 510, 141, 1137, 8349, 33774, 8935, 5734, 12923, 5313, 15, 12459, 31554, 15984, 3336, 20792, 12606, 7402, 47965, 6496, 101368 ]
65
1,548
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0 ]
[ 0, 0, 9, 20, 28, 30, 30, 50, 51, 55, 61, 62, 83, 86, 113, 129, 140, 142, 147, 147, 154, 158, 159, 170, 176, 179, 186, 196, 198, 198, 227, 228, 229, 246, 249, 251, 283, 296, 299, 306, 311, 321, 325, 329, 338, 341, 356, 358, 385, 385, 385, 393, 393, 393, 412, 432, 433, 445, 446, 454, 468, 474, 502, 544, 559, 563, 566, 568, 579, 582, 613, 623, 644, 678, 691, 696, 706, 713, 837, 860, 867, 889, 931, 948, 950, 966, 999, 1005, 1052, 1153, 1171, 1171, 1178, 1189, 1275, 1275, 1306, 1342, 1406, 1449, 1453, 1454, 1479, 1549, 1618, 1646, 1651, 1702, 1722, 1745, 1812, 1814, 1815, 1817, 1827, 1833, 1865, 1912, 1914, 1967, 2039, 2045, 2047, 2078, 2118, 2144, 2269, 2518, 2541, 2601, 2685, 2689, 2701, 2723, 2836, 2872, 2890, 2936, 3126, 3168, 3482, 3498, 3548, 3604, 3606, 3655, 3865, 3876, 4038, 4062, 4114, 4239, 4339, 4381, 4386, 4425, 4457, 4780, 4809, 5024, 5104, 5233, 5814, 5896, 5915, 6139, 6320, 7147, 7716, 8565, 8785, 9728, 12536, 14037, 16574, 18655, 34530, 37453, 46508, 48374, 49925 ]
3
[ 0, 0, 9, 11, 8, 2, 0, 20, 1, 4, 6, 1, 21, 3, 27, 16, 11, 2, 5, 0, 7, 4, 1, 11, 6, 3, 7, 10, 2, 0, 29, 1, 1, 17, 3, 2, 32, 13, 3, 7, 5, 10, 4, 4, 9, 3, 15, 2, 27, 0, 0, 8, 0, 0, 19, 20, 1, 12, 1, 8, 14, 6, 28, 42, 15, 4, 3, 2, 11, 3, 31, 10, 21, 34, 13, 5, 10, 7, 124, 23, 7, 22, 42, 17, 2, 16, 33, 6, 47, 101, 18, 0, 7, 11, 86, 0, 31, 36, 64, 43, 4, 1, 25, 70, 69, 28, 5, 51, 20, 23, 67, 2, 1, 2, 10, 6, 32, 47, 2, 53, 72, 6, 2, 31, 40, 26, 125, 249, 23, 60, 84, 4, 12, 22, 113, 36, 18, 46, 190, 42, 314, 16, 50, 56, 2, 49, 210, 11, 162, 24, 52, 125, 100, 42, 5, 39, 32, 323, 29, 215, 80, 129, 581, 82, 19, 224, 181, 827, 569, 849, 220, 943, 2808, 1501, 2537, 2081, 15875, 2923, 9055, 1866, 1551 ]
181
1,549
[ 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 13, 17, 18, 18, 35, 57, 62, 62, 69, 79, 86, 91, 124, 132, 137, 152, 162, 162, 168, 169, 171, 209, 250, 251, 252, 265, 304, 306, 315, 329, 359, 411, 435, 495, 551, 555, 614, 648, 703, 753, 761, 774, 803, 809, 884, 903, 960, 982, 1108, 1147, 1725, 1975, 1992, 2170, 3354, 3520, 3624, 3972, 5279, 8287, 13756, 19906, 20294, 155145, 155166 ]
3
[ 0, 13, 4, 1, 0, 17, 22, 5, 0, 7, 10, 7, 5, 33, 8, 5, 15, 10, 0, 6, 1, 2, 38, 41, 1, 1, 13, 39, 2, 9, 14, 30, 52, 24, 60, 56, 4, 59, 34, 55, 50, 8, 13, 29, 6, 75, 19, 57, 22, 126, 39, 578, 250, 17, 178, 1184, 166, 104, 348, 1307, 3008, 5469, 6150, 388, 134851, 21 ]
66
1,550
[ 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
[ 0, 0, 1, 2, 3, 4, 18, 24, 27, 27, 32, 33, 36, 38, 39, 40, 43, 45, 49, 54, 59, 64, 65, 65, 67, 71, 73, 82, 93, 94, 95, 119, 131, 164, 175, 180, 237, 238, 250, 256, 293, 306, 324, 525, 526, 652, 669, 894, 985, 1615, 6298, 7882, 8001, 8402, 9236, 12424, 13311, 14008, 14618, 17056, 25356, 26976, 27001, 28556, 90210, 90277, 408747 ]
3
[ 0, 0, 1, 1, 1, 1, 14, 6, 3, 0, 5, 1, 3, 2, 1, 1, 3, 2, 4, 5, 5, 5, 1, 0, 2, 4, 2, 9, 11, 1, 1, 24, 12, 33, 11, 5, 57, 1, 12, 6, 37, 13, 18, 201, 1, 126, 17, 225, 91, 630, 4683, 1584, 119, 401, 834, 3188, 887, 697, 610, 2438, 8300, 1620, 25, 1555, 61654, 67, 318470 ]
67
1,551
[ 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1 ]
[ 0, 18, 18, 27, 92, 101, 105, 135, 141, 246, 272, 273, 283, 336, 347, 473, 530, 558, 641, 703, 813, 814, 937, 938, 1071, 1092, 1273, 1416, 1507, 1523, 1544, 1750, 1803, 1866, 2132, 2224, 2362, 2531, 2566, 2570, 3536, 3645, 3814, 3999, 4933, 5411, 5475, 5530, 5729, 6408, 6550, 6564, 6680, 8105, 8912, 9161, 10566, 12144, 12198, 12357, 12433, 18264, 21435, 24158, 24492, 25516, 27450, 31950, 32514, 32586, 52980, 85609 ]
3
[ 0, 18, 0, 9, 65, 9, 4, 30, 6, 105, 26, 1, 10, 53, 11, 126, 57, 28, 83, 62, 110, 1, 123, 1, 133, 21, 181, 143, 91, 16, 21, 206, 53, 63, 266, 92, 138, 169, 35, 4, 966, 109, 169, 185, 934, 478, 64, 55, 199, 679, 142, 14, 116, 1425, 807, 249, 1405, 1578, 54, 159, 76, 5831, 3171, 2723, 334, 1024, 1934, 4500, 564, 72, 20394, 32629 ]
72
1,552
[ 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0 ]
[ 0, 8, 12, 21, 24, 24, 35, 64, 70, 83, 89, 102, 104, 122, 125, 136, 140, 151, 152, 158, 172, 257, 295, 361, 368, 400, 463, 467, 496, 561, 573, 853, 856, 1060, 1385, 1510, 2162, 2251, 6126, 6529, 8351, 12578, 13328, 43225, 47842, 47885, 50031, 54036, 58821, 83158, 150498, 478964, 488625 ]
3
[ 0, 8, 4, 9, 3, 0, 11, 29, 6, 13, 6, 13, 2, 18, 3, 11, 4, 11, 1, 6, 14, 85, 38, 66, 7, 32, 63, 4, 29, 65, 12, 280, 3, 204, 325, 125, 652, 89, 3875, 403, 1822, 4227, 750, 29897, 4617, 43, 2146, 4005, 4785, 24337, 67340, 328466, 9661 ]
53
1,553
[ 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 1, 0 ]
[ 0, 1, 3, 3, 5, 5, 6, 7, 10, 11, 12, 25, 33, 38, 40, 44, 46, 47, 53, 61, 62, 64, 69, 72, 75, 93, 98, 104, 129, 132, 132, 135, 137, 162, 165, 166, 170, 178, 182, 184, 197, 199, 215, 217, 219, 224, 228, 233, 237, 239, 240, 248, 260, 262, 267, 275, 276, 276, 279, 293, 306, 327, 331, 422, 457, 501, 513, 534, 622, 690, 782, 1052, 1143, 1210, 1325, 1512, 1573, 1712, 2071, 2117, 2185, 2207, 2362, 2496, 2575, 2659, 2762, 2806, 3083, 3422, 3424, 4174, 4427, 4561, 4566, 4628, 5085, 5132, 5443, 5607, 5844, 5954, 5974, 6664, 7101, 8370, 9184, 9473, 9676, 10096, 10451, 12620, 13059, 16172, 19228, 19253, 20711, 21435, 21619, 23992, 26358, 29229, 31675, 36974, 37728, 54724, 57343, 91940, 103052, 137040, 526270 ]
3
[ 0, 1, 2, 0, 2, 0, 1, 1, 3, 1, 1, 13, 8, 5, 2, 4, 2, 1, 6, 8, 1, 2, 5, 3, 3, 18, 5, 6, 25, 3, 0, 3, 2, 25, 3, 1, 4, 8, 4, 2, 13, 2, 16, 2, 2, 5, 4, 5, 4, 2, 1, 8, 12, 2, 5, 8, 1, 0, 3, 14, 13, 21, 4, 91, 35, 44, 12, 21, 88, 68, 92, 270, 91, 67, 115, 187, 61, 139, 359, 46, 68, 22, 155, 134, 79, 84, 103, 44, 277, 339, 2, 750, 253, 134, 5, 62, 457, 47, 311, 164, 237, 110, 20, 690, 437, 1269, 814, 289, 203, 420, 355, 2169, 439, 3113, 3056, 25, 1458, 724, 184, 2373, 2366, 2871, 2446, 5299, 754, 16996, 2619, 34597, 11112, 33988, 389230 ]
131
1,554
[ 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1 ]
[ 0, 15, 15, 19, 30, 41, 48, 52, 55, 57, 68, 75, 78, 86, 87, 87, 89, 91, 96, 115, 126, 129, 129, 156, 168, 171, 191, 199, 207, 240, 270, 285, 307, 342, 415, 437, 457, 477, 484, 508, 511, 528, 572, 625, 688, 723, 743, 814, 1011, 1108, 1452, 1782, 1859, 2049, 2328, 2994, 3424, 3877, 4077, 4657, 4910, 5708, 5903, 6006, 14981, 26902, 32885, 36145, 39251, 73321, 124863, 145643, 230210, 233432, 249066, 250666, 256459, 419979, 448286 ]
3
[ 0, 15, 0, 4, 11, 11, 7, 4, 3, 2, 11, 7, 3, 8, 1, 0, 2, 2, 5, 19, 11, 3, 0, 27, 12, 3, 20, 8, 8, 33, 30, 15, 22, 35, 73, 22, 20, 20, 7, 24, 3, 17, 44, 53, 63, 35, 20, 71, 197, 97, 344, 330, 77, 190, 279, 666, 430, 453, 200, 580, 253, 798, 195, 103, 8975, 11921, 5983, 3260, 3106, 34070, 51542, 20780, 84567, 3222, 15634, 1600, 5793, 163520, 28307 ]
79
1,555
[ 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 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, 0 ]
[ 0, 2, 3, 11, 14, 17, 19, 21, 23, 34, 35, 36, 43, 50, 54, 60, 61, 68, 77, 88, 96, 99, 101, 107, 112, 135, 138, 160, 175, 176, 181, 197, 198, 217, 218, 227, 239, 256, 258, 267, 284, 290, 309, 310, 318, 388, 411, 427, 437, 518, 541, 564, 566, 591, 599, 620, 658, 723, 734, 784, 785, 788, 797, 804, 866, 905, 909, 912, 916, 1011, 1014, 1016, 1046, 1047, 1152, 1174, 1229, 1360, 1405, 1482, 1617, 1718, 1745, 2204, 2291, 2353, 2370, 2428, 2507, 2580, 2760, 2995, 3003, 3015, 3024, 3158, 3239, 3312, 3436, 3519, 3713, 3739, 3777, 4248, 4703, 4711, 5275, 5510, 5516, 6102, 6198, 7026, 7801, 7921, 8439, 8480, 8721, 9033, 10535, 10764, 10829, 11087, 12637, 13340, 13371, 13392, 13414, 13546, 13581, 13637, 13741, 13743, 13989, 14535, 16127, 17388, 17628, 17731, 18254, 19168, 19329, 19570, 21145, 25251, 25898, 28026, 31509, 36171, 38130, 38151, 38160, 38164, 38176, 38189, 38189, 38193, 38201, 38208, 38213, 38213, 38241, 38250, 38251, 38264, 38270, 38281, 38296, 38318, 38319, 38345, 38347, 38350, 38392, 38423, 38457, 38516, 38570, 38629, 38670, 38680, 38684, 38717, 38945, 39118, 39537, 39562, 39612, 39700, 39822, 40407, 41199, 42158, 47506, 52751, 70789, 72114, 79195, 86168, 86803, 87074, 88523, 89233, 89731, 92187, 93392, 93445, 96492, 97942, 102098, 104632, 106733, 113114, 119269, 128025, 128884, 129283, 129452, 162740, 176762, 182367, 183173, 186808, 188383, 188695, 188840, 199479, 201888, 203285, 203706, 207885, 210888, 211208, 271721, 274745, 278156, 302405, 307878, 402407, 404515, 477508, 481691, 487177, 511213, 523165, 539750 ]
3
[ 0, 2, 1, 8, 3, 3, 2, 2, 2, 11, 1, 1, 7, 7, 4, 6, 1, 7, 9, 11, 8, 3, 2, 6, 5, 23, 3, 22, 15, 1, 5, 16, 1, 19, 1, 9, 12, 17, 2, 9, 17, 6, 19, 1, 8, 70, 23, 16, 10, 81, 23, 23, 2, 25, 8, 21, 38, 65, 11, 50, 1, 3, 9, 7, 62, 39, 4, 3, 4, 95, 3, 2, 30, 1, 105, 22, 55, 131, 45, 77, 135, 101, 27, 459, 87, 62, 17, 58, 79, 73, 180, 235, 8, 12, 9, 134, 81, 73, 124, 83, 194, 26, 38, 471, 455, 8, 564, 235, 6, 586, 96, 828, 775, 120, 518, 41, 241, 312, 1502, 229, 65, 258, 1550, 703, 31, 21, 22, 132, 35, 56, 104, 2, 246, 546, 1592, 1261, 240, 103, 523, 914, 161, 241, 1575, 4106, 647, 2128, 3483, 4662, 1959, 21, 9, 4, 12, 13, 0, 4, 8, 7, 5, 0, 28, 9, 1, 13, 6, 11, 15, 22, 1, 26, 2, 3, 42, 31, 34, 59, 54, 59, 41, 10, 4, 33, 228, 173, 419, 25, 50, 88, 122, 585, 792, 959, 5348, 5245, 18038, 1325, 7081, 6973, 635, 271, 1449, 710, 498, 2456, 1205, 53, 3047, 1450, 4156, 2534, 2101, 6381, 6155, 8756, 859, 399, 169, 33288, 14022, 5605, 806, 3635, 1575, 312, 145, 10639, 2409, 1397, 421, 4179, 3003, 320, 60513, 3024, 3411, 24249, 5473, 94529, 2108, 72993, 4183, 5486, 24036, 11952, 16585 ]
245
1,556
[ 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0 ]
[ 0, 2, 5, 6, 10, 11, 19, 22, 23, 27, 45, 55, 63, 66, 71, 72, 89, 90, 92, 93, 94, 101, 107, 107, 114, 114, 119, 121, 125, 129, 148, 154, 164, 164, 167, 167, 171, 178, 184, 195, 199, 208, 219, 220, 235, 241, 245, 245, 284, 296, 327, 351, 364, 370, 440, 452, 452, 464, 469, 481, 521, 528, 545, 564, 603, 644, 685, 689, 726, 741, 777, 782, 805, 806, 822, 859, 921, 946, 1096, 1162, 1175, 1177, 1187, 1235, 1249, 1264, 1393, 1433, 1572, 1584, 1750, 1763, 1787, 1834, 1925, 1925, 1981, 2005, 2008, 2038, 2087, 2165, 2312, 2329, 2364, 2371, 2381, 2390, 2437, 2674, 2729, 2822, 2854, 2948, 3062, 3217, 3284, 3314, 3326, 3352, 3413, 3518, 3635, 3742, 3806, 3931, 4065, 4280, 4293, 4338, 4932, 5095, 5102, 5217, 5420, 5442, 5737, 5901, 6006, 6018, 6215, 6324, 6688, 6821, 6915, 7057, 7111, 7338, 7519, 7537, 7612, 7757, 7760, 7953, 8284, 8314, 8328, 8420, 8424, 8567, 8983, 9418, 9580, 10949, 10989, 11061, 11472, 11602, 11768, 11888, 11904, 12010, 12092, 12994, 13078, 13272, 13372, 13610, 15273, 15389, 15601, 16011, 16390, 16491, 18383, 20213, 21161, 22214, 22621, 22943, 27535, 27563, 29261, 36171, 39780, 49025, 51574, 52029, 52029, 97835, 109167, 121886, 165742, 166027, 170498, 184407, 192668, 208650, 208876, 211828, 247959, 266632, 279348, 295306, 343836, 347369, 370680, 376938, 381467, 385597, 426981, 427190, 437679, 468396, 469744, 469989, 469991, 470526, 470708, 471176, 477631, 480227, 488653, 519200, 541593 ]
3
[ 0, 2, 3, 1, 4, 1, 8, 3, 1, 4, 18, 10, 8, 3, 5, 1, 17, 1, 2, 1, 1, 7, 6, 0, 7, 0, 5, 2, 4, 4, 19, 6, 10, 0, 3, 0, 4, 7, 6, 11, 4, 9, 11, 1, 15, 6, 4, 0, 39, 12, 31, 24, 13, 6, 70, 12, 0, 12, 5, 12, 40, 7, 17, 19, 39, 41, 41, 4, 37, 15, 36, 5, 23, 1, 16, 37, 62, 25, 150, 66, 13, 2, 10, 48, 14, 15, 129, 40, 139, 12, 166, 13, 24, 47, 91, 0, 56, 24, 3, 30, 49, 78, 147, 17, 35, 7, 10, 9, 47, 237, 55, 93, 32, 94, 114, 155, 67, 30, 12, 26, 61, 105, 117, 107, 64, 125, 134, 215, 13, 45, 594, 163, 7, 115, 203, 22, 295, 164, 105, 12, 197, 109, 364, 133, 94, 142, 54, 227, 181, 18, 75, 145, 3, 193, 331, 30, 14, 92, 4, 143, 416, 435, 162, 1369, 40, 72, 411, 130, 166, 120, 16, 106, 82, 902, 84, 194, 100, 238, 1663, 116, 212, 410, 379, 101, 1892, 1830, 948, 1053, 407, 322, 4592, 28, 1698, 6910, 3609, 9245, 2549, 455, 0, 45806, 11332, 12719, 43856, 285, 4471, 13909, 8261, 15982, 226, 2952, 36131, 18673, 12716, 15958, 48530, 3533, 23311, 6258, 4529, 4130, 41384, 209, 10489, 30717, 1348, 245, 2, 535, 182, 468, 6455, 2596, 8426, 30547, 22393 ]
235
1,557
[ 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0 ]
[ 0, 17, 25, 52, 52, 57, 75, 84, 103, 119, 121, 125, 125, 132, 137, 142, 144, 156, 157, 195, 203, 205, 211, 228, 257, 261, 263, 266, 282, 287, 290, 294, 341, 346, 391, 391, 394, 394, 400, 400, 422, 422, 432, 432, 457, 457, 458, 458, 468, 468, 475, 513, 594, 640, 702, 996, 1141, 1246, 1300, 1379, 1417, 1470, 1503, 1526, 1556, 1719, 1726, 1811, 1831, 1847, 1949, 1973, 2007, 2072, 2204, 2247, 2285, 2650, 2900, 3231, 3378, 3615, 4454, 4871, 4921, 5084, 6281, 6340, 6512, 6627, 7147, 8396, 8458, 8476, 10754, 11435, 12096, 12972, 13166, 14276, 14912, 16032, 18230, 18652, 19185, 19268, 23517, 24497, 27983, 29683, 29984, 41690, 50336, 51854, 52080, 203803, 286006, 289332, 294639 ]
3
[ 0, 17, 8, 27, 0, 5, 18, 9, 19, 16, 2, 4, 0, 7, 5, 5, 2, 12, 1, 38, 8, 2, 6, 17, 29, 4, 2, 3, 16, 5, 3, 4, 47, 5, 45, 0, 3, 0, 6, 0, 22, 0, 10, 0, 25, 0, 1, 0, 10, 0, 7, 38, 81, 46, 62, 294, 145, 105, 54, 79, 38, 53, 33, 23, 30, 163, 7, 85, 20, 16, 102, 24, 34, 65, 132, 43, 38, 365, 250, 331, 147, 237, 839, 417, 50, 163, 1197, 59, 172, 115, 520, 1249, 62, 18, 2278, 681, 661, 876, 194, 1110, 636, 1120, 2198, 422, 533, 83, 4249, 980, 3486, 1700, 301, 11706, 8646, 1518, 226, 151723, 82203, 3326, 5307 ]
119
1,558
[ 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0 ]
[ 0, 1, 11, 12, 15, 22, 25, 26, 32, 34, 38, 41, 45, 48, 51, 51, 53, 54, 54, 54, 54, 57, 60, 68, 75, 77, 77, 78, 80, 80, 80, 81, 83, 89, 91, 104, 109, 114, 114, 123, 135, 137, 138, 141, 151, 151, 157, 177, 192, 195, 201, 223, 231, 234, 237, 241, 289, 315, 346, 380, 396, 417, 442, 477, 485, 607, 620, 652, 724, 736, 739, 857, 918, 935, 937, 1004, 1327, 1365, 1513, 1516, 2043, 2048, 2215, 2422, 3107, 3755, 3788, 4105, 4550, 4884, 5459, 5840, 6460, 6937, 7883, 8746, 10294, 11610, 17055, 18477, 19306, 19331, 19772, 21971, 22111, 22733, 22821, 23279, 23633, 23661, 23666, 24127, 24376, 24897, 24979, 25221, 25290, 25448, 26597, 27064, 28218, 31580, 34800, 35876, 39876, 44397, 44748, 47614, 49306, 61092, 76550, 77594, 159992, 163839, 213777, 213985, 264685, 343220, 344749, 422572, 455766, 482272, 549184 ]
3
[ 0, 1, 10, 1, 3, 7, 3, 1, 6, 2, 4, 3, 4, 3, 3, 0, 2, 1, 0, 0, 0, 3, 3, 8, 7, 2, 0, 1, 2, 0, 0, 1, 2, 6, 2, 13, 5, 5, 0, 9, 12, 2, 1, 3, 10, 0, 6, 20, 15, 3, 6, 22, 8, 3, 3, 4, 48, 26, 31, 34, 16, 21, 25, 35, 8, 122, 13, 32, 72, 12, 3, 118, 61, 17, 2, 67, 323, 38, 148, 3, 527, 5, 167, 207, 685, 648, 33, 317, 445, 334, 575, 381, 620, 477, 946, 863, 1548, 1316, 5445, 1422, 829, 25, 441, 2199, 140, 622, 88, 458, 354, 28, 5, 461, 249, 521, 82, 242, 69, 158, 1149, 467, 1154, 3362, 3220, 1076, 4000, 4521, 351, 2866, 1692, 11786, 15458, 1044, 82398, 3847, 49938, 208, 50700, 78535, 1529, 77823, 33194, 26506, 66912 ]
143
1,559
[ 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1 ]
[ 0, 1, 3, 10, 12, 27, 32, 35, 40, 52, 52, 59, 66, 77, 80, 107, 109, 113, 125, 139, 147, 156, 175, 192, 204, 266, 277, 282, 297, 301, 325, 355, 382, 417, 477, 501, 501, 536, 552, 565, 578, 689, 813, 1008, 1012, 1158, 1294, 1446, 1581, 1628, 1655, 1786, 2043, 2158, 2616, 3019, 3287, 3324, 3688, 3778, 3994, 4241, 4597, 5708, 5762, 7188, 7302, 8457, 8503, 8520, 8645, 9090, 9491, 10057, 10121, 13132, 13651, 13745, 13764, 14773, 14828, 15080, 15350, 16769, 17051, 17104, 17115, 17258, 19851, 20371, 20415, 20571, 20594, 21419, 21918, 22036, 22359, 22645, 25374, 25738, 25798, 26893, 28662, 28729, 28824, 28846, 29198, 30139, 30408, 30745, 31403, 31446, 31507, 33472, 34186, 34643, 34817, 34924, 35135, 38218, 38375, 38858, 39268, 43644, 43822, 43860, 43988, 44035, 45777, 46059, 46832, 76594, 81181, 91713, 98081, 109401, 113910, 113957, 116429, 116894, 120979, 127146, 133260, 170942, 197030, 210220, 227556, 260429, 281786, 339998, 359859, 363623, 374389, 374788, 525069, 566650, 600404 ]
3
[ 0, 1, 2, 7, 2, 15, 5, 3, 5, 12, 0, 7, 7, 11, 3, 27, 2, 4, 12, 14, 8, 9, 19, 17, 12, 62, 11, 5, 15, 4, 24, 30, 27, 35, 60, 24, 0, 35, 16, 13, 13, 111, 124, 195, 4, 146, 136, 152, 135, 47, 27, 131, 257, 115, 458, 403, 268, 37, 364, 90, 216, 247, 356, 1111, 54, 1426, 114, 1155, 46, 17, 125, 445, 401, 566, 64, 3011, 519, 94, 19, 1009, 55, 252, 270, 1419, 282, 53, 11, 143, 2593, 520, 44, 156, 23, 825, 499, 118, 323, 286, 2729, 364, 60, 1095, 1769, 67, 95, 22, 352, 941, 269, 337, 658, 43, 61, 1965, 714, 457, 174, 107, 211, 3083, 157, 483, 410, 4376, 178, 38, 128, 47, 1742, 282, 773, 29762, 4587, 10532, 6368, 11320, 4509, 47, 2472, 465, 4085, 6167, 6114, 37682, 26088, 13190, 17336, 32873, 21357, 58212, 19861, 3764, 10766, 399, 150281, 41581, 33754 ]
157
1,560
[ 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1 ]
[ 0, 4, 18, 204, 370, 404, 457, 673, 819, 891, 1016, 1025, 1032, 1049, 1352, 1391, 3683, 3780, 3819, 3979, 4031, 4315, 4444, 4466, 8269, 8499, 10927, 14911, 15654, 15698, 15881, 16297, 16553, 16558, 16574, 16588, 16614, 16681, 16698, 16840, 16872, 16904, 16974, 17045, 17079, 17198, 17304, 20275, 27292, 27556, 27598, 27634, 27821, 28313, 35161, 40528, 44312, 48610, 49435, 99947, 100078, 100339, 100429, 103953, 103989, 104040, 104154, 104611, 181446, 186171, 188961, 188965, 189190, 189424 ]
3
[ 0, 4, 14, 186, 166, 34, 53, 216, 146, 72, 125, 9, 7, 17, 303, 39, 2292, 97, 39, 160, 52, 284, 129, 22, 3803, 230, 2428, 3984, 743, 44, 183, 416, 256, 5, 16, 14, 26, 67, 17, 142, 32, 32, 70, 71, 34, 119, 106, 2971, 7017, 264, 42, 36, 187, 492, 6848, 5367, 3784, 4298, 825, 50512, 131, 261, 90, 3524, 36, 51, 114, 457, 76835, 4725, 2790, 4, 225, 234 ]
74
1,561
[ 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1 ]
[ 0, 25, 31, 46, 60, 72, 95, 156, 175, 220, 246, 259, 275, 278, 287, 299, 301, 306, 380, 401, 413, 468, 468, 535, 543, 550, 574, 601, 617, 640, 728, 733, 779, 873, 897, 1141, 1222, 1291, 1409, 1423, 1537, 1555, 1562, 1586, 1590, 1629, 1639, 1740, 1782, 1907, 2046, 2109, 2193, 2210, 2534, 2710, 2711, 2790, 2931, 3364, 3407, 3749, 3949, 4861, 5781, 6361, 6459, 6609, 6748, 6807, 7801, 10550, 13615, 15396, 23235, 23719, 25965, 27012, 27049, 27646, 33337, 33716, 34802, 56321, 69809, 81461, 91203, 91260, 91424, 534424 ]
3
[ 0, 25, 6, 15, 14, 12, 23, 61, 19, 45, 26, 13, 16, 3, 9, 12, 2, 5, 74, 21, 12, 55, 0, 67, 8, 7, 24, 27, 16, 23, 88, 5, 46, 94, 24, 244, 81, 69, 118, 14, 114, 18, 7, 24, 4, 39, 10, 101, 42, 125, 139, 63, 84, 17, 324, 176, 1, 79, 141, 433, 43, 342, 200, 912, 920, 580, 98, 150, 139, 59, 994, 2749, 3065, 1781, 7839, 484, 2246, 1047, 37, 597, 5691, 379, 1086, 21519, 13488, 11652, 9742, 57, 164, 443000 ]
90
1,562
[ 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0 ]
[ 0, 12, 12, 13, 19, 27, 34, 37, 106, 112, 116, 123, 163, 286, 295, 310, 348, 449, 480, 501, 536, 660, 745, 806, 847, 886, 1072, 1153, 1155, 1176, 1476, 1658, 1740, 2224, 2368, 2580, 3210, 3389, 5859, 6331, 7530, 24040, 33919, 34253, 42492, 42492, 43971, 45583, 49299, 82498, 83362, 109358, 152726, 152755, 152773, 152805, 152817, 152824, 152830, 152927, 152952, 152988, 153090, 153094, 153242, 153578, 156429, 164816, 237600, 257079 ]
3
[ 0, 12, 0, 1, 6, 8, 7, 3, 69, 6, 4, 7, 40, 123, 9, 15, 38, 101, 31, 21, 35, 124, 85, 61, 41, 39, 186, 81, 2, 21, 300, 182, 82, 484, 144, 212, 630, 179, 2470, 472, 1199, 16510, 9879, 334, 8239, 0, 1479, 1612, 3716, 33199, 864, 25996, 43368, 29, 18, 32, 12, 7, 6, 97, 25, 36, 102, 4, 148, 336, 2851, 8387, 72784, 19479 ]
70
1,563
[ 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
[ 0, 2, 2, 7, 8, 13, 14, 15, 18, 24, 28, 29, 32, 32, 35, 41, 42, 49, 56, 56, 62, 62, 63, 66, 66, 70, 74, 79, 88, 95, 95, 97, 98, 102, 106, 106, 106, 110, 117, 119, 127, 133, 134, 136, 144, 152, 156, 165, 167, 169, 170, 172, 172, 205, 215, 216, 224, 246, 252, 274, 282, 307, 329, 351, 372, 473, 499, 502, 784, 836, 889, 998, 1008, 1061, 1068, 1903, 2162, 2347, 2360, 2362, 4948, 5721, 6782, 12516, 21987, 88664, 88708, 179518, 331632 ]
3
[ 0, 2, 0, 5, 1, 5, 1, 1, 3, 6, 4, 1, 3, 0, 3, 6, 1, 7, 7, 0, 6, 0, 1, 3, 0, 4, 4, 5, 9, 7, 0, 2, 1, 4, 4, 0, 0, 4, 7, 2, 8, 6, 1, 2, 8, 8, 4, 9, 2, 2, 1, 2, 0, 33, 10, 1, 8, 22, 6, 22, 8, 25, 22, 22, 21, 101, 26, 3, 282, 52, 53, 109, 10, 53, 7, 835, 259, 185, 13, 2, 2586, 773, 1061, 5734, 9471, 66677, 44, 90810, 152114 ]
89
1,564
[ 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1 ]
[ 0, 12, 16, 19, 20, 20, 23, 25, 25, 25, 26, 28, 28, 32, 34, 36, 37, 38, 39, 45, 46, 47, 49, 50, 51, 51, 52, 54, 54, 58, 60, 61, 61, 63, 64, 65, 68, 70, 72, 72, 72, 75, 77, 79, 79, 83, 84, 84, 86, 86, 86, 88, 89, 90, 92, 92, 98, 100, 101, 102, 103, 103, 107, 107, 108, 109, 110, 115, 119, 120, 120, 121, 123, 128, 133, 133, 136, 140, 143, 156, 158, 159, 162, 163, 165, 169, 172, 176, 182, 185, 202, 206, 207, 209, 216, 227, 229, 233, 235, 247, 252, 263, 272, 277, 285, 307, 310, 314, 340, 343, 352, 367, 373, 375, 379, 385, 389, 400, 407, 418, 438, 457, 459, 489, 490, 496, 505, 514, 521, 547, 564, 577, 596, 660, 916, 991, 1046, 1156, 1201, 1436, 1512, 1738, 2136, 2216, 2768, 2768, 3095, 3380, 4527, 6577, 34377, 38572, 44604, 48106, 410735 ]
3
[ 0, 12, 4, 3, 1, 0, 3, 2, 0, 0, 1, 2, 0, 4, 2, 2, 1, 1, 1, 6, 1, 1, 2, 1, 1, 0, 1, 2, 0, 4, 2, 1, 0, 2, 1, 1, 3, 2, 2, 0, 0, 3, 2, 2, 0, 4, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 6, 2, 1, 1, 1, 0, 4, 0, 1, 1, 1, 5, 4, 1, 0, 1, 2, 5, 5, 0, 3, 4, 3, 13, 2, 1, 3, 1, 2, 4, 3, 4, 6, 3, 17, 4, 1, 2, 7, 11, 2, 4, 2, 12, 5, 11, 9, 5, 8, 22, 3, 4, 26, 3, 9, 15, 6, 2, 4, 6, 4, 11, 7, 11, 20, 19, 2, 30, 1, 6, 9, 9, 7, 26, 17, 13, 19, 64, 256, 75, 55, 110, 45, 235, 76, 226, 398, 80, 552, 0, 327, 285, 1147, 2050, 27800, 4195, 6032, 3502, 362629 ]
155
1,565
[ 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1 ]
[ 0, 2, 7, 26, 60, 69, 91, 121, 126, 155, 163, 166, 170, 173, 174, 177, 207, 254, 287, 287, 302, 306, 379, 387, 423, 426, 432, 441, 596, 668, 841, 860, 954, 995, 1064, 1100, 1109, 1272, 1292, 1297, 1303, 1318, 1392, 1447, 1506, 1544, 1698, 1740, 1740, 1782, 1795, 1815, 1877, 1897, 1965, 2034, 2082, 2334, 2737, 2906, 3688, 3810, 3910, 4542, 5079, 5444, 5665, 7941, 11072, 11623, 12454, 14852, 16511, 17729, 19214, 22242, 36747, 39479, 40137, 57260, 110027, 116904 ]
3
[ 0, 2, 5, 19, 34, 9, 22, 30, 5, 29, 8, 3, 4, 3, 1, 3, 30, 47, 33, 0, 15, 4, 73, 8, 36, 3, 6, 9, 155, 72, 173, 19, 94, 41, 69, 36, 9, 163, 20, 5, 6, 15, 74, 55, 59, 38, 154, 42, 0, 42, 13, 20, 62, 20, 68, 69, 48, 252, 403, 169, 782, 122, 100, 632, 537, 365, 221, 2276, 3131, 551, 831, 2398, 1659, 1218, 1485, 3028, 14505, 2732, 658, 17123, 52767, 6877 ]
82
1,566
[ 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 22, 35, 36, 44, 63, 91, 99, 166, 252, 295, 356, 360, 532, 624, 779, 821, 1423, 1516, 1706, 3651, 9984, 13134, 18573, 19740, 22626, 24051, 24717, 37922, 39584, 43187, 43225, 43358, 44644, 45265, 46317, 47341, 47870, 49230, 49306, 49844, 51015, 51689, 52999, 53304, 53467, 53787, 53982, 54226, 54475, 55203, 55460, 55793, 55808, 57021, 57866, 62998, 65376, 66374, 67251, 69714, 71237, 72162, 72304, 72861, 73738, 78015, 81462, 82759, 88023, 89754, 116949, 116980, 132605, 133200, 146478, 147590, 155198, 156896, 157635, 222640, 224914 ]
3
[ 0, 22, 13, 1, 8, 19, 28, 8, 67, 86, 43, 61, 4, 172, 92, 155, 42, 602, 93, 190, 1945, 6333, 3150, 5439, 1167, 2886, 1425, 666, 13205, 1662, 3603, 38, 133, 1286, 621, 1052, 1024, 529, 1360, 76, 538, 1171, 674, 1310, 305, 163, 320, 195, 244, 249, 728, 257, 333, 15, 1213, 845, 5132, 2378, 998, 877, 2463, 1523, 925, 142, 557, 877, 4277, 3447, 1297, 5264, 1731, 27195, 31, 15625, 595, 13278, 1112, 7608, 1698, 739, 65005, 2274 ]
82
1,567
[ 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18, 42, 52, 98, 104, 123, 135, 137, 152, 154, 188, 201, 211, 218, 227, 285, 301, 350, 351, 375, 377, 390, 438, 463, 506, 539, 547, 551, 613, 614, 627, 764, 818, 887, 901, 1065, 1153, 1358, 1687, 1919, 1949, 2079, 2111, 2268, 2302, 2337, 3261, 4509, 4672, 4945, 5062, 5862, 6004, 6342, 6574, 7899, 7933, 10070, 10186, 13779, 13889, 14770, 15700, 16441, 17606, 33058, 55108, 102967, 198859 ]
3
[ 0, 18, 24, 10, 46, 6, 19, 12, 2, 15, 2, 34, 13, 10, 7, 9, 58, 16, 49, 1, 24, 2, 13, 48, 25, 43, 33, 8, 4, 62, 1, 13, 137, 54, 69, 14, 164, 88, 205, 329, 232, 30, 130, 32, 157, 34, 35, 924, 1248, 163, 273, 117, 800, 142, 338, 232, 1325, 34, 2137, 116, 3593, 110, 881, 930, 741, 1165, 15452, 22050, 47859, 95892 ]
70
1,568
[ 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 0, 3, 5, 6, 7, 9, 13, 14, 15, 16, 23, 26, 28, 33, 36, 38, 40, 46, 49, 58, 69, 78, 79, 90, 93, 99, 103, 112, 127, 140, 157, 161, 177, 179, 179, 205, 251, 269, 287, 298, 311, 325, 356, 383, 384, 388, 444, 448, 501, 510, 573, 609, 784, 800, 813, 822, 881, 925, 1033, 1084, 1125, 1241, 1311, 1336, 1367, 1384, 1393, 1398, 1401, 1412, 1437, 1489, 1513, 1533, 1577, 1619, 1691, 1713, 1746, 1807, 1821, 1849, 1875, 1971, 2066, 2395, 2403, 2471, 2579, 3111, 3143, 3331, 3356, 4028, 4115, 4616, 5549, 5549, 5910, 6016, 6428, 6485, 6536, 6600, 6650, 6724, 7021, 7293, 7318, 7755, 8749, 8790, 8991, 9223, 9320, 10499, 10539, 10549, 10697, 11248, 11739, 12278, 12419, 13644, 13682, 13906, 13977, 14205, 14216, 14377, 14800, 16978, 17108, 17297, 17656, 19163, 19320, 20094, 22004, 23839, 27892, 27918, 27992, 28017, 30572, 272609 ]
3
[ 0, 0, 3, 2, 1, 1, 2, 4, 1, 1, 1, 7, 3, 2, 5, 3, 2, 2, 6, 3, 9, 11, 9, 1, 11, 3, 6, 4, 9, 15, 13, 17, 4, 16, 2, 0, 26, 46, 18, 18, 11, 13, 14, 31, 27, 1, 4, 56, 4, 53, 9, 63, 36, 175, 16, 13, 9, 59, 44, 108, 51, 41, 116, 70, 25, 31, 17, 9, 5, 3, 11, 25, 52, 24, 20, 44, 42, 72, 22, 33, 61, 14, 28, 26, 96, 95, 329, 8, 68, 108, 532, 32, 188, 25, 672, 87, 501, 933, 0, 361, 106, 412, 57, 51, 64, 50, 74, 297, 272, 25, 437, 994, 41, 201, 232, 97, 1179, 40, 10, 148, 551, 491, 539, 141, 1225, 38, 224, 71, 228, 11, 161, 423, 2178, 130, 189, 359, 1507, 157, 774, 1910, 1835, 4053, 26, 74, 25, 2555, 242037 ]
147
1,569
[ 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1 ]
[ 0, 1, 6, 6, 9, 9, 13, 18, 19, 20, 25, 26, 31, 37, 77, 77, 86, 91, 96, 101, 105, 110, 116, 128, 144, 145, 150, 151, 161, 163, 177, 179, 193, 266, 289, 315, 330, 413, 583, 597, 618, 622, 635, 660, 678, 679, 734, 749, 782, 869, 880, 906, 972, 998, 1000, 1141, 1158, 1161, 1437, 1488, 1572, 1585, 1813, 1943, 2067, 2070, 2295, 2374, 2476, 3308, 4057, 4411, 4672, 5331, 5649, 5691, 7126, 7500, 7892, 8867, 8917, 10597, 12977, 14062, 15144, 16456, 16711, 38934, 57587, 113026, 129506, 163700, 165228, 180307, 234878, 237391, 248992, 249096, 274727, 354725, 419813, 489088, 494260, 494302, 494522, 494544, 583474 ]
3
[ 0, 1, 5, 0, 3, 0, 4, 5, 1, 1, 5, 1, 5, 6, 40, 0, 9, 5, 5, 5, 4, 5, 6, 12, 16, 1, 5, 1, 10, 2, 14, 2, 14, 73, 23, 26, 15, 83, 170, 14, 21, 4, 13, 25, 18, 1, 55, 15, 33, 87, 11, 26, 66, 26, 2, 141, 17, 3, 276, 51, 84, 13, 228, 130, 124, 3, 225, 79, 102, 832, 749, 354, 261, 659, 318, 42, 1435, 374, 392, 975, 50, 1680, 2380, 1085, 1082, 1312, 255, 22223, 18653, 55439, 16480, 34194, 1528, 15079, 54571, 2513, 11601, 104, 25631, 79998, 65088, 69275, 5172, 42, 220, 22, 88930 ]
107
1,570
[ 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1 ]
[ 0, 9, 15, 21, 23, 44, 60, 62, 65, 68, 69, 75, 76, 77, 78, 79, 105, 105, 107, 112, 115, 150, 153, 157, 181, 191, 197, 220, 224, 273, 276, 281, 310, 313, 343, 346, 348, 428, 457, 472, 548, 555, 583, 614, 701, 733, 831, 839, 860, 967, 970, 981, 1033, 1131, 1241, 1319, 1437, 1478, 1487, 1510, 1621, 1737, 1857, 1905, 1936, 1986, 2016, 2120, 2243, 2303, 2476, 3296, 3296, 3309, 3385, 3475, 3618, 3655, 3774, 4016, 4342, 4524, 4576, 4811, 5440, 5476, 5609, 6141, 6927, 6933, 6967, 7278, 7393, 7960, 8476, 8560, 8596, 8964, 9022, 9257, 10658, 12040, 12463, 12486, 13558, 13615, 13898, 14237, 14624, 14873, 16099, 16694, 16974, 17497, 18608, 19179, 19764, 23526, 23955, 25064, 25070, 25578, 27465, 30728, 39870, 43496, 45365, 59669, 60230, 70657, 75796, 78876, 90340, 90726, 100841, 107552, 157039, 157249, 166870, 195295, 199887, 200744, 212329, 295670 ]
3
[ 0, 9, 6, 6, 2, 21, 16, 2, 3, 3, 1, 6, 1, 1, 1, 1, 26, 0, 2, 5, 3, 35, 3, 4, 24, 10, 6, 23, 4, 49, 3, 5, 29, 3, 30, 3, 2, 80, 29, 15, 76, 7, 28, 31, 87, 32, 98, 8, 21, 107, 3, 11, 52, 98, 110, 78, 118, 41, 9, 23, 111, 116, 120, 48, 31, 50, 30, 104, 123, 60, 173, 820, 0, 13, 76, 90, 143, 37, 119, 242, 326, 182, 52, 235, 629, 36, 133, 532, 786, 6, 34, 311, 115, 567, 516, 84, 36, 368, 58, 235, 1401, 1382, 423, 23, 1072, 57, 283, 339, 387, 249, 1226, 595, 280, 523, 1111, 571, 585, 3762, 429, 1109, 6, 508, 1887, 3263, 9142, 3626, 1869, 14304, 561, 10427, 5139, 3080, 11464, 386, 10115, 6711, 49487, 210, 9621, 28425, 4592, 857, 11585, 83341 ]
144
1,571
[ 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2 ]
[ 0, 18, 19, 38, 59, 73, 90, 138, 182, 231, 892, 1194, 1262, 1443, 2373, 2454, 2550, 2734, 2924, 3087, 3136, 3340, 3450, 3698, 4337, 4924, 5269, 6794, 7370, 7590, 7852, 8400, 8782, 9222, 10532, 12043, 12819, 16371, 20783, 28139, 28786, 39796, 41283, 44905, 47105, 49458, 51284, 53222, 53544, 54563, 60315, 177372 ]
3
[ 0, 18, 1, 19, 21, 14, 17, 48, 44, 49, 661, 302, 68, 181, 930, 81, 96, 184, 190, 163, 49, 204, 110, 248, 639, 587, 345, 1525, 576, 220, 262, 548, 382, 440, 1310, 1511, 776, 3552, 4412, 7356, 647, 11010, 1487, 3622, 2200, 2353, 1826, 1938, 322, 1019, 5752, 117057 ]
52
1,572
[ 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0 ]
[ 0, 0, 2, 4, 4, 5, 11, 17, 20, 27, 30, 31, 31, 35, 37, 40, 41, 47, 52, 52, 60, 64, 65, 68, 69, 81, 86, 106, 111, 114, 131, 132, 138, 175, 193, 196, 199, 203, 214, 219, 285, 293, 329, 350, 386, 601, 634, 753, 768, 856, 927, 1099, 1351, 1764, 1881, 2353, 2388, 3004, 6294 ]
3
[ 0, 0, 2, 2, 0, 1, 6, 6, 3, 7, 3, 1, 0, 4, 2, 3, 1, 6, 5, 0, 8, 4, 1, 3, 1, 12, 5, 20, 5, 3, 17, 1, 6, 37, 18, 3, 3, 4, 11, 5, 66, 8, 36, 21, 36, 215, 33, 119, 15, 88, 71, 172, 252, 413, 117, 472, 35, 616, 3290 ]
59
1,573
[ 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0 ]
[ 0, 1, 2, 2, 6, 7, 10, 14, 18, 19, 19, 19, 21, 22, 23, 23, 85, 88, 91, 92, 99, 99, 104, 106, 107, 110, 111, 127, 131, 133, 136, 137, 140, 144, 144, 145, 147, 153, 156, 160, 170, 171, 174, 185, 187, 188, 189, 191, 191, 196, 200, 207, 208, 211, 214, 218, 219, 234, 235, 311, 315, 339, 359, 367, 386, 393, 401, 418, 499, 514, 531, 562, 563, 583, 587, 653, 654, 659, 698, 720, 723, 724, 881, 898, 917, 959, 1048, 1087, 1115, 1238, 1267, 1341, 1467, 1526, 1636, 1823, 1826, 1852, 2148, 2302, 2382, 2407, 2713, 2870, 2961, 3353, 3587, 3759, 3778, 3813, 5288, 5434, 5721, 5903, 5925, 6423, 6703, 6912, 7820, 8189, 8195, 8891, 9166, 9559, 10351, 11746, 12047, 12093, 12674, 13486, 14745, 17024, 18582, 20956, 21548, 21694, 23258, 24738, 26361, 26748, 30226, 31940, 36152, 53779, 54016, 56319, 58841, 61996, 66208, 76173, 76794, 78690, 78827, 80030, 92510, 100668, 100763, 107870, 114648, 140378, 142818, 147578, 200683, 203081, 251381, 252722, 344690, 351551, 359223, 373632, 407186, 437746, 451671, 457046, 463429, 531719, 531742 ]
3
[ 0, 1, 1, 0, 4, 1, 3, 4, 4, 1, 0, 0, 2, 1, 1, 0, 62, 3, 3, 1, 7, 0, 5, 2, 1, 3, 1, 16, 4, 2, 3, 1, 3, 4, 0, 1, 2, 6, 3, 4, 10, 1, 3, 11, 2, 1, 1, 2, 0, 5, 4, 7, 1, 3, 3, 4, 1, 15, 1, 76, 4, 24, 20, 8, 19, 7, 8, 17, 81, 15, 17, 31, 1, 20, 4, 66, 1, 5, 39, 22, 3, 1, 157, 17, 19, 42, 89, 39, 28, 123, 29, 74, 126, 59, 110, 187, 3, 26, 296, 154, 80, 25, 306, 157, 91, 392, 234, 172, 19, 35, 1475, 146, 287, 182, 22, 498, 280, 209, 908, 369, 6, 696, 275, 393, 792, 1395, 301, 46, 581, 812, 1259, 2279, 1558, 2374, 592, 146, 1564, 1480, 1623, 387, 3478, 1714, 4212, 17627, 237, 2303, 2522, 3155, 4212, 9965, 621, 1896, 137, 1203, 12480, 8158, 95, 7107, 6778, 25730, 2440, 4760, 53105, 2398, 48300, 1341, 91968, 6861, 7672, 14409, 33554, 30560, 13925, 5375, 6383, 68290, 23 ]
177
1,574
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1 ]
[ 0, 15, 39, 39, 78, 94, 115, 140, 152, 251, 269, 270, 296, 299, 349, 409, 548, 669, 734, 826, 871, 895, 991, 1333, 1377, 1451, 1569, 1624, 1631, 1701, 1909, 2179, 2254, 2548, 3264, 3287, 3539, 5269, 5701, 5919, 6492, 6592, 7650, 9198, 9307, 10428, 11693, 11819, 13794, 13862, 14165, 19295, 22238, 23246, 23510, 23710, 24936, 27328, 66146, 67559, 71321, 71381, 72291, 72496, 75390, 84676, 88252, 95426, 97613, 97776, 103351, 109452, 115575, 150849, 178602, 259492, 346371, 351123, 453270 ]
3
[ 0, 15, 24, 0, 39, 16, 21, 25, 12, 99, 18, 1, 26, 3, 50, 60, 139, 121, 65, 92, 45, 24, 96, 342, 44, 74, 118, 55, 7, 70, 208, 270, 75, 294, 716, 23, 252, 1730, 432, 218, 573, 100, 1058, 1548, 109, 1121, 1265, 126, 1975, 68, 303, 5130, 2943, 1008, 264, 200, 1226, 2392, 38818, 1413, 3762, 60, 910, 205, 2894, 9286, 3576, 7174, 2187, 163, 5575, 6101, 6123, 35274, 27753, 80890, 86879, 4752, 102147 ]
79
1,575
[ 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0 ]
[ 0, 44, 44, 47, 52, 53, 64, 71, 84, 90, 115, 115, 120, 159, 165, 180, 182, 182, 244, 291, 361, 378, 379, 423, 527, 541, 561, 889, 899, 957, 966, 1089, 1367, 1375, 1585, 1586, 1620, 1659, 1678, 1732, 1760, 2005, 2107, 2335, 2396, 2560, 2698, 2878, 3109, 3569, 5303, 5362, 5584, 6489, 7441, 7497, 8012, 8030, 12653, 15015, 16090, 16653, 22804, 153414, 171632, 353759, 354717, 409738 ]
3
[ 0, 44, 0, 3, 5, 1, 11, 7, 13, 6, 25, 0, 5, 39, 6, 15, 2, 0, 62, 47, 70, 17, 1, 44, 104, 14, 20, 328, 10, 58, 9, 123, 278, 8, 210, 1, 34, 39, 19, 54, 28, 245, 102, 228, 61, 164, 138, 180, 231, 460, 1734, 59, 222, 905, 952, 56, 515, 18, 4623, 2362, 1075, 563, 6151, 130610, 18218, 182127, 958, 55021 ]
68
1,576
[ 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0 ]
[ 0, 3, 13, 21, 22, 23, 23, 23, 24, 34, 39, 40, 41, 48, 50, 54, 63, 71, 76, 82, 86, 86, 91, 100, 102, 111, 111, 116, 117, 129, 130, 135, 136, 137, 142, 145, 166, 172, 183, 187, 189, 249, 253, 277, 305, 329, 361, 361, 446, 469, 524, 583, 632, 788, 791, 822, 866, 889, 941, 1046, 1114, 1123, 1178, 1247, 1296, 1364, 1449, 1488, 1647, 1713, 1865, 2047, 2933, 3219, 3805, 4041, 4102, 4637, 5331, 7757, 8453, 8887, 8990, 9263, 13063, 14529, 16158, 17534, 19611, 20412, 23008, 26056, 79340, 82458, 84969, 86600, 89885, 190308 ]
3
[ 0, 3, 10, 8, 1, 1, 0, 0, 1, 10, 5, 1, 1, 7, 2, 4, 9, 8, 5, 6, 4, 0, 5, 9, 2, 9, 0, 5, 1, 12, 1, 5, 1, 1, 5, 3, 21, 6, 11, 4, 2, 60, 4, 24, 28, 24, 32, 0, 85, 23, 55, 59, 49, 156, 3, 31, 44, 23, 52, 105, 68, 9, 55, 69, 49, 68, 85, 39, 159, 66, 152, 182, 886, 286, 586, 236, 61, 535, 694, 2426, 696, 434, 103, 273, 3800, 1466, 1629, 1376, 2077, 801, 2596, 3048, 53284, 3118, 2511, 1631, 3285, 100423 ]
98
1,577
[ 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ 0, 6, 8, 8, 19, 20, 23, 24, 27, 31, 33, 36, 38, 39, 40, 43, 53, 56, 62, 74, 76, 88, 124, 129, 130, 131, 149, 159, 176, 178, 207, 252, 258, 314, 318, 427, 432, 468, 535, 615, 857, 1982, 5459, 6061, 13552, 17888, 17923, 17937, 17950, 17966, 17976, 18324, 72718, 78656, 91128, 271169, 362254, 362272, 362338 ]
3
[ 0, 6, 2, 0, 11, 1, 3, 1, 3, 4, 2, 3, 2, 1, 1, 3, 10, 3, 6, 12, 2, 12, 36, 5, 1, 1, 18, 10, 17, 2, 29, 45, 6, 56, 4, 109, 5, 36, 67, 80, 242, 1125, 3477, 602, 7491, 4336, 35, 14, 13, 16, 10, 348, 54394, 5938, 12472, 180041, 91085, 18, 66 ]
59
1,578
[ 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1 ]
[ 0, 10, 28, 43, 48, 51, 53, 54, 64, 65, 76, 87, 111, 112, 145, 192, 203, 240, 244, 258, 272, 276, 276, 281, 306, 322, 369, 378, 411, 509, 524, 529, 533, 540, 566, 597, 598, 624, 628, 638, 641, 694, 798, 882, 1070, 1149, 1294, 1304, 1318, 1449, 1588, 1637, 1693, 1713, 1754, 1801, 1898, 2048, 2292, 2607, 2617, 2899, 2969, 3126, 3165, 3331, 3440, 3485, 4031, 5109, 6309, 7092, 10241 ]
3
[ 0, 10, 18, 15, 5, 3, 2, 1, 10, 1, 11, 11, 24, 1, 33, 47, 11, 37, 4, 14, 14, 4, 0, 5, 25, 16, 47, 9, 33, 98, 15, 5, 4, 7, 26, 31, 1, 26, 4, 10, 3, 53, 104, 84, 188, 79, 145, 10, 14, 131, 139, 49, 56, 20, 41, 47, 97, 150, 244, 315, 10, 282, 70, 157, 39, 166, 109, 45, 546, 1078, 1200, 783, 3149 ]
73
1,579
[ 1, 0, 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, 0, 1, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 14, 20, 20, 20, 29, 39, 41, 43, 48, 69, 84, 90, 93, 93, 96, 99, 104, 134, 144, 154, 160, 163, 167, 171, 179, 184, 193, 212, 214, 217, 219, 272, 280, 305, 305, 314, 326, 329, 348, 358, 363, 376, 379, 402, 403, 444, 498, 507, 604, 628, 636, 647, 669, 689, 702, 715, 746, 772, 778, 801, 873, 875, 952, 955, 967, 973, 1193, 1197, 1317, 1323, 1367, 1445, 1453, 1454, 1459, 1459, 1563, 1574, 1715, 1888, 1888, 1960, 2006, 2010, 2076, 2133, 2308, 2346, 2435, 2443, 2450, 2453, 2455, 2479, 2483, 2508, 2609, 2659, 2696, 2706, 2794, 2829, 2930, 2946, 2963, 3010, 3022, 3111, 3203, 3273, 3275, 3285, 3334, 3593, 3734, 4028, 4089, 4210, 4555, 4857, 4894, 5075, 5111, 5449, 5634, 6068, 6412, 6870, 7613, 7684, 9562, 9776, 9908, 9972, 10008, 10918, 10996, 10996, 11264, 12481, 12644, 12724, 12900, 12916, 13748, 14215, 14367, 15554, 15662, 15795, 19404, 20180, 20423, 20446, 20520, 20557, 20584, 20656, 20658, 20871, 20903, 21016, 21082, 21231, 21370, 21494, 21537, 22423, 23117, 23792, 23955, 26122, 53873, 53910, 53966, 53973, 54016, 55281, 56069, 58142, 61808, 63702, 66110, 66142, 68739, 89465, 93958, 94809, 95027, 427462, 427759, 427775, 427792, 427872, 428334, 428688, 431452, 432747, 434836, 541458 ]
3
[ 0, 14, 6, 0, 0, 9, 10, 2, 2, 5, 21, 15, 6, 3, 0, 3, 3, 5, 30, 10, 10, 6, 3, 4, 4, 8, 5, 9, 19, 2, 3, 2, 53, 8, 25, 0, 9, 12, 3, 19, 10, 5, 13, 3, 23, 1, 41, 54, 9, 97, 24, 8, 11, 22, 20, 13, 13, 31, 26, 6, 23, 72, 2, 77, 3, 12, 6, 220, 4, 120, 6, 44, 78, 8, 1, 5, 0, 104, 11, 141, 173, 0, 72, 46, 4, 66, 57, 175, 38, 89, 8, 7, 3, 2, 24, 4, 25, 101, 50, 37, 10, 88, 35, 101, 16, 17, 47, 12, 89, 92, 70, 2, 10, 49, 259, 141, 294, 61, 121, 345, 302, 37, 181, 36, 338, 185, 434, 344, 458, 743, 71, 1878, 214, 132, 64, 36, 910, 78, 0, 268, 1217, 163, 80, 176, 16, 832, 467, 152, 1187, 108, 133, 3609, 776, 243, 23, 74, 37, 27, 72, 2, 213, 32, 113, 66, 149, 139, 124, 43, 886, 694, 675, 163, 2167, 27751, 37, 56, 7, 43, 1265, 788, 2073, 3666, 1894, 2408, 32, 2597, 20726, 4493, 851, 218, 332435, 297, 16, 17, 80, 462, 354, 2764, 1295, 2089, 106622 ]
201
1,580
[ 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 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, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0 ]
[ 0, 2, 15, 21, 27, 27, 40, 46, 52, 55, 69, 70, 90, 91, 93, 127, 148, 203, 211, 239, 259, 294, 343, 355, 360, 373, 482, 497, 498, 590, 784, 877, 1056, 1114, 1298, 1389, 2141, 2160, 2362, 2673, 2716, 3892, 4115, 4277, 6149, 10066, 10106, 10936, 17025, 27369, 59694, 67593, 79215 ]
3
[ 0, 2, 13, 6, 6, 0, 13, 6, 6, 3, 14, 1, 20, 1, 2, 34, 21, 55, 8, 28, 20, 35, 49, 12, 5, 13, 109, 15, 1, 92, 194, 93, 179, 58, 184, 91, 752, 19, 202, 311, 43, 1176, 223, 162, 1872, 3917, 40, 830, 6089, 10344, 32325, 7899, 11622 ]
53
1,581
[ 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1 ]
[ 0, 5, 16, 17, 20, 30, 32, 33, 35, 46, 66, 81, 83, 89, 94, 110, 116, 123, 147, 153, 184, 204, 212, 214, 248, 251, 258, 260, 261, 305, 319, 330, 331, 356, 358, 364, 376, 382, 398, 407, 526, 572, 585, 651, 659, 825, 893, 901, 1119, 1123, 1420, 1803, 2096, 2272, 2276, 2384, 2695, 2749, 2814, 2915, 2977, 3207, 3488, 3528, 3574, 3621, 3656, 4318, 5426, 5858, 5980, 6002, 6720, 6724, 7233, 7457, 8125, 9650, 9913, 10507, 10645, 10958, 12547, 14324, 14826, 15537, 16971, 16978, 17066, 22467, 23931, 24352, 24784, 25795, 27324, 27661, 30484, 31386, 33683, 34382, 36440, 40445, 52712, 78876, 112770, 447496, 448132, 448189 ]
3
[ 0, 5, 11, 1, 3, 10, 2, 1, 2, 11, 20, 15, 2, 6, 5, 16, 6, 7, 24, 6, 31, 20, 8, 2, 34, 3, 7, 2, 1, 44, 14, 11, 1, 25, 2, 6, 12, 6, 16, 9, 119, 46, 13, 66, 8, 166, 68, 8, 218, 4, 297, 383, 293, 176, 4, 108, 311, 54, 65, 101, 62, 230, 281, 40, 46, 47, 35, 662, 1108, 432, 122, 22, 718, 4, 509, 224, 668, 1525, 263, 594, 138, 313, 1589, 1777, 502, 711, 1434, 7, 88, 5401, 1464, 421, 432, 1011, 1529, 337, 2823, 902, 2297, 699, 2058, 4005, 12267, 26164, 33894, 334726, 636, 57 ]
108
1,582
[ 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 ]
[ 0, 7, 7, 15, 16, 18, 33, 36, 44, 44, 44, 58, 61, 64, 70, 84, 96, 97, 104, 115, 121, 143, 147, 151, 155, 157, 170, 171, 182, 184, 188, 201, 214, 217, 226, 240, 258, 273, 276, 291, 296, 305, 314, 329, 347, 358, 403, 428, 465, 471, 472, 490, 503, 513, 561, 561, 587, 605, 716, 725, 726, 765, 776, 781, 789, 817, 861, 886, 914, 958, 975, 998, 1022, 1143, 1149, 1191, 1202, 1231, 1288, 1301, 1423, 1442, 1481, 1490, 1490, 1527, 1737, 1773, 1859, 1980, 2036, 2661, 2733, 2762, 2895, 2942, 2994, 3240, 3367, 3447, 4036, 4158, 4200, 4434, 4536, 4877, 4947, 4957, 5044, 5365, 5902, 7662, 8767, 10788, 11249, 11297, 11316, 11322, 11436, 11598, 12083, 13793, 22260, 23300, 26614, 28648, 45180 ]
3
[ 0, 7, 0, 8, 1, 2, 15, 3, 8, 0, 0, 14, 3, 3, 6, 14, 12, 1, 7, 11, 6, 22, 4, 4, 4, 2, 13, 1, 11, 2, 4, 13, 13, 3, 9, 14, 18, 15, 3, 15, 5, 9, 9, 15, 18, 11, 45, 25, 37, 6, 1, 18, 13, 10, 48, 0, 26, 18, 111, 9, 1, 39, 11, 5, 8, 28, 44, 25, 28, 44, 17, 23, 24, 121, 6, 42, 11, 29, 57, 13, 122, 19, 39, 9, 0, 37, 210, 36, 86, 121, 56, 625, 72, 29, 133, 47, 52, 246, 127, 80, 589, 122, 42, 234, 102, 341, 70, 10, 87, 321, 537, 1760, 1105, 2021, 461, 48, 19, 6, 114, 162, 485, 1710, 8467, 1040, 3314, 2034, 16532 ]
127
1,583
[ 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 ]
[ 0, 15, 22, 24, 26, 41, 97, 116, 123, 150, 161, 184, 240, 246, 288, 344, 352, 371, 382, 406, 439, 457, 463, 502, 507, 552, 568, 579, 618, 623, 662, 663, 882, 1101, 1121, 1138, 1292, 1726, 1778, 1806, 1846, 2164, 2177, 2510, 2826, 3033, 3099, 3288, 3522, 5465, 5893, 9147, 10719, 14148, 19033, 19552, 19566, 19607, 39595, 75800, 104922, 106855, 152665, 160375, 260346, 260359, 260375, 260437, 260454, 260466, 260485, 260552, 260707, 260722, 260725, 260786, 260843, 261388, 261400, 261906, 261940, 262892, 263687, 275603, 283138, 388528, 395528, 420934 ]
3
[ 0, 15, 7, 2, 2, 15, 56, 19, 7, 27, 11, 23, 56, 6, 42, 56, 8, 19, 11, 24, 33, 18, 6, 39, 5, 45, 16, 11, 39, 5, 39, 1, 219, 219, 20, 17, 154, 434, 52, 28, 40, 318, 13, 333, 316, 207, 66, 189, 234, 1943, 428, 3254, 1572, 3429, 4885, 519, 14, 41, 19988, 36205, 29122, 1933, 45810, 7710, 99971, 13, 16, 62, 17, 12, 19, 67, 155, 15, 3, 61, 57, 545, 12, 506, 34, 952, 795, 11916, 7535, 105390, 7000, 25406 ]
88
1,584
[ 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1 ]
[ 0, 4, 10, 15, 16, 19, 21, 22, 26, 29, 36, 44, 96, 96, 124, 129, 131, 148, 178, 179, 198, 218, 294, 300, 309, 330, 372, 389, 391, 452, 471, 481, 485, 509, 580, 614, 694, 711, 713, 724, 727, 808, 821, 859, 872, 877, 1029, 1126, 1633, 1687, 3264, 4749, 4983, 5134, 5600, 5604, 36041, 54355, 69806, 71004, 71225, 71298, 72049, 74148, 74235, 75515, 87775, 92771, 121015, 121079, 393517, 513787 ]
3
[ 0, 4, 6, 5, 1, 3, 2, 1, 4, 3, 7, 8, 52, 0, 28, 5, 2, 17, 30, 1, 19, 20, 76, 6, 9, 21, 42, 17, 2, 61, 19, 10, 4, 24, 71, 34, 80, 17, 2, 11, 3, 81, 13, 38, 13, 5, 152, 97, 507, 54, 1577, 1485, 234, 151, 466, 4, 30437, 18314, 15451, 1198, 221, 73, 751, 2099, 87, 1280, 12260, 4996, 28244, 64, 272438, 120270 ]
72
1,585
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1 ]
[ 0, 2, 3, 3, 4, 4, 9, 16, 18, 18, 24, 26, 30, 31, 36, 36, 38, 41, 43, 46, 49, 53, 53, 55, 60, 70, 75, 77, 78, 78, 92, 179, 198, 213, 221, 341, 346, 354, 370, 373, 379, 392, 596, 654, 818, 825, 868, 974, 1781, 2212, 2386, 2792, 3662, 4430, 5637, 8627 ]
3
[ 0, 2, 1, 0, 1, 0, 5, 7, 2, 0, 6, 2, 4, 1, 5, 0, 2, 3, 2, 3, 3, 4, 0, 2, 5, 10, 5, 2, 1, 0, 14, 87, 19, 15, 8, 120, 5, 8, 16, 3, 6, 13, 204, 58, 164, 7, 43, 106, 807, 431, 174, 406, 870, 768, 1207, 2990 ]
56
1,586
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1 ]
[ 0, 15, 16, 24, 49, 50, 58, 72, 89, 98, 102, 154, 180, 250, 274, 276, 291, 300, 346, 440, 443, 445, 479, 485, 575, 623, 647, 795, 804, 836, 889, 926, 990, 1037, 1078, 1205, 1212, 1244, 1841, 1912, 1990, 2270, 2383, 2480, 2589, 2612, 2768, 3288, 3331, 3622, 3632, 3731, 3831, 5079, 5423, 5782, 6446, 6519, 6525, 6800, 7413, 7611, 8319, 8322, 8695, 10962, 13338, 13451, 16345, 17569, 18291, 93831, 93866, 94571, 95699, 99244, 99306, 99341, 163429 ]
3
[ 0, 15, 1, 8, 25, 1, 8, 14, 17, 9, 4, 52, 26, 70, 24, 2, 15, 9, 46, 94, 3, 2, 34, 6, 90, 48, 24, 148, 9, 32, 53, 37, 64, 47, 41, 127, 7, 32, 597, 71, 78, 280, 113, 97, 109, 23, 156, 520, 43, 291, 10, 99, 100, 1248, 344, 359, 664, 73, 6, 275, 613, 198, 708, 3, 373, 2267, 2376, 113, 2894, 1224, 722, 75540, 35, 705, 1128, 3545, 62, 35, 64088 ]
79
1,587
[ 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 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, 1, 2, 0, 0, 1, 1, 0, 1 ]
[ 0, 2, 30, 34, 46, 49, 59, 63, 109, 127, 148, 198, 295, 307, 353, 375, 408, 428, 432, 440, 502, 511, 520, 539, 547, 580, 691, 771, 833, 842, 917, 1076, 1120, 1242, 1258, 1293, 1442, 1608, 1930, 1979, 2027, 2034, 2150, 2402, 2519, 2989, 2999, 3504, 6416, 6778, 7021, 7641, 8926, 10220, 18140, 20785, 38619, 101659 ]
3
[ 0, 2, 28, 4, 12, 3, 10, 4, 46, 18, 21, 50, 97, 12, 46, 22, 33, 20, 4, 8, 62, 9, 9, 19, 8, 33, 111, 80, 62, 9, 75, 159, 44, 122, 16, 35, 149, 166, 322, 49, 48, 7, 116, 252, 117, 470, 10, 505, 2912, 362, 243, 620, 1285, 1294, 7920, 2645, 17834, 63040 ]
58
1,588
[ 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0 ]
[ 0, 7, 9, 14, 19, 21, 21, 28, 30, 34, 37, 43, 46, 55, 59, 61, 68, 69, 73, 74, 84, 86, 89, 111, 125, 157, 256, 270, 273, 388, 395, 396, 432, 462, 489, 577, 669, 696, 704, 755, 765, 787, 937, 962, 1016, 1021, 1191, 1541, 1542, 1721, 1896, 2150, 2461, 2551, 2599, 3175, 3392, 3785, 3897, 4426, 5095, 7545, 28612, 35117, 38111, 54435, 57081, 58743, 59006, 59838, 64462, 66170, 73901, 81980, 82185, 124422, 170588, 171465, 173872, 227797, 242248, 260068, 276425, 287964, 338621, 350576, 389523, 422876 ]
3
[ 0, 7, 2, 5, 5, 2, 0, 7, 2, 4, 3, 6, 3, 9, 4, 2, 7, 1, 4, 1, 10, 2, 3, 22, 14, 32, 99, 14, 3, 115, 7, 1, 36, 30, 27, 88, 92, 27, 8, 51, 10, 22, 150, 25, 54, 5, 170, 350, 1, 179, 175, 254, 311, 90, 48, 576, 217, 393, 112, 529, 669, 2450, 21067, 6505, 2994, 16324, 2646, 1662, 263, 832, 4624, 1708, 7731, 8079, 205, 42237, 46166, 877, 2407, 53925, 14451, 17820, 16357, 11539, 50657, 11955, 38947, 33353 ]
88
1,589
[ 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0 ]
[ 0, 21, 35, 41, 49, 68, 77, 85, 95, 193, 415, 434, 440, 441, 447, 472, 501, 501, 506, 511, 511, 533, 544, 545, 547, 572, 582, 608, 609, 612, 621, 625, 626, 644, 644, 649, 651, 660, 666, 687, 815, 824, 886, 996, 1314, 1325, 1441, 1444, 1753, 2295, 2667, 3016, 3696, 3756, 3759, 3817, 3882, 4189, 4234, 4324, 4342, 4344, 4353, 4356, 4367, 4370, 4373, 4375, 4378, 4384, 4387, 4389, 4392, 4396, 4403, 4413, 4419, 4426, 4448, 4468, 4567, 4694, 4711, 4751, 4804, 4929, 4950, 4964, 5030, 14269, 15835, 23589, 28618, 29874, 52142, 227700 ]
3
[ 0, 21, 14, 6, 8, 19, 9, 8, 10, 98, 222, 19, 6, 1, 6, 25, 29, 0, 5, 5, 0, 22, 11, 1, 2, 25, 10, 26, 1, 3, 9, 4, 1, 18, 0, 5, 2, 9, 6, 21, 128, 9, 62, 110, 318, 11, 116, 3, 309, 542, 372, 349, 680, 60, 3, 58, 65, 307, 45, 90, 18, 2, 9, 3, 11, 3, 3, 2, 3, 6, 3, 2, 3, 4, 7, 10, 6, 7, 22, 20, 99, 127, 17, 40, 53, 125, 21, 14, 66, 9239, 1566, 7754, 5029, 1256, 22268, 175558 ]
96
1,590
[ 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0 ]
[ 0, 5, 6, 8, 10, 10, 13, 16, 17, 18, 18, 19, 20, 22, 24, 28, 31, 31, 32, 33, 38, 38, 40, 40, 41, 46, 49, 49, 50, 53, 53, 53, 54, 59, 61, 61, 66, 71, 77, 79, 79, 82, 84, 89, 89, 90, 93, 94, 102, 103, 105, 108, 109, 110, 111, 113, 116, 117, 125, 129, 130, 132, 139, 149, 157, 161, 162, 166, 191, 221, 236, 245, 255, 257, 279, 284, 297, 326, 347, 356, 390, 438, 444, 448, 515, 559, 714, 756, 809, 857, 979, 1531, 1685, 1695, 2048, 2143, 3086 ]
3
[ 0, 5, 1, 2, 2, 0, 3, 3, 1, 1, 0, 1, 1, 2, 2, 4, 3, 0, 1, 1, 5, 0, 2, 0, 1, 5, 3, 0, 1, 3, 0, 0, 1, 5, 2, 0, 5, 5, 6, 2, 0, 3, 2, 5, 0, 1, 3, 1, 8, 1, 2, 3, 1, 1, 1, 2, 3, 1, 8, 4, 1, 2, 7, 10, 8, 4, 1, 4, 25, 30, 15, 9, 10, 2, 22, 5, 13, 29, 21, 9, 34, 48, 6, 4, 67, 44, 155, 42, 53, 48, 122, 552, 154, 10, 353, 95, 943 ]
97
1,591
[ 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 0, 7, 25, 42, 50, 62, 68, 75, 77, 82, 94, 134, 138, 184, 197, 215, 326, 327, 418, 449, 555, 597, 641, 735, 812, 818, 899, 973, 1058, 1120, 1313, 1547, 1593, 1647, 1874, 2143, 2143, 2170, 2213, 2231, 2711, 2856, 2883, 3564, 3920, 4877, 5203, 5699, 5818, 5934, 6118, 6153, 6548, 7264, 8105, 9829, 10528, 10591, 11137, 13760, 15066, 15249, 15376, 19630, 28454, 52540, 91819 ]
3
[ 0, 7, 18, 17, 8, 12, 6, 7, 2, 5, 12, 40, 4, 46, 13, 18, 111, 1, 91, 31, 106, 42, 44, 94, 77, 6, 81, 74, 85, 62, 193, 234, 46, 54, 227, 269, 0, 27, 43, 18, 480, 145, 27, 681, 356, 957, 326, 496, 119, 116, 184, 35, 395, 716, 841, 1724, 699, 63, 546, 2623, 1306, 183, 127, 4254, 8824, 24086, 39279 ]
67
1,592
[ 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 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, 23, 28, 45, 54, 56, 57, 68, 88, 88, 91, 96, 101, 108, 134, 137, 150, 152, 157, 161, 161, 226, 255, 264, 275, 277, 306, 313, 318, 365, 428, 484, 519, 627, 631, 661, 668, 714, 734, 781, 877, 896, 980, 1059, 1059, 1133, 1163, 1179, 1181, 1211, 1303, 1348, 1405, 1569, 1601, 1620, 1696, 1699, 1723, 1726, 1749, 1779, 1800, 1915, 2000, 2041, 2100, 2116, 2143, 2143, 2238, 2358, 2360, 2414, 2438, 2525, 2536, 2665, 2827, 3010, 3014, 3082, 3225, 3438, 3493, 3695, 3792, 3812, 3815, 3888, 3909, 3974, 4047, 4162, 4301, 4409, 4411, 4478, 4535, 4596, 4729, 4872, 4901, 4968, 5012, 5020, 5063, 5119, 5263, 5835, 6000, 6085, 6687, 6744, 6824, 6898, 6948, 7227, 7421, 7475, 7566, 9056, 9120, 9447, 9511, 9755, 9972, 10549, 10575, 10857, 10922, 11062, 11535, 11730, 11818, 11857, 12208, 12348, 12814, 12986, 13002, 13347, 13555, 13622, 13818, 13954, 14021, 18244, 19422, 19774, 19849, 21343, 23790, 29811, 30000, 36269, 38983, 45027, 47735, 56363, 66007, 67444, 92566, 106551, 294066, 331841, 373067, 408501, 442846, 493125 ]
3
[ 0, 23, 5, 17, 9, 2, 1, 11, 20, 0, 3, 5, 5, 7, 26, 3, 13, 2, 5, 4, 0, 65, 29, 9, 11, 2, 29, 7, 5, 47, 63, 56, 35, 108, 4, 30, 7, 46, 20, 47, 96, 19, 84, 79, 0, 74, 30, 16, 2, 30, 92, 45, 57, 164, 32, 19, 76, 3, 24, 3, 23, 30, 21, 115, 85, 41, 59, 16, 27, 0, 95, 120, 2, 54, 24, 87, 11, 129, 162, 183, 4, 68, 143, 213, 55, 202, 97, 20, 3, 73, 21, 65, 73, 115, 139, 108, 2, 67, 57, 61, 133, 143, 29, 67, 44, 8, 43, 56, 144, 572, 165, 85, 602, 57, 80, 74, 50, 279, 194, 54, 91, 1490, 64, 327, 64, 244, 217, 577, 26, 282, 65, 140, 473, 195, 88, 39, 351, 140, 466, 172, 16, 345, 208, 67, 196, 136, 67, 4223, 1178, 352, 75, 1494, 2447, 6021, 189, 6269, 2714, 6044, 2708, 8628, 9644, 1437, 25122, 13985, 187515, 37775, 41226, 35434, 34345, 50279 ]
170
1,593
[ 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0 ]
[ 0, 14, 30, 38, 47, 69, 73, 82, 91, 117, 146, 147, 156, 185, 188, 218, 221, 228, 306, 401, 445, 480, 538, 748, 749, 751, 835, 853, 872, 897, 973, 1006, 1076, 1149, 1196, 1215, 1216, 1235, 1276, 1281, 1318, 1343, 1355, 1396, 1409, 1644, 1709, 1718, 1753, 1827, 1894, 1905, 1931, 2271, 2365, 2512, 2670, 2690, 2786, 2892, 2944, 2972, 2980, 3034, 3049, 3152, 3243, 3324, 3450, 3458, 3471, 3552, 3587, 3761, 3761, 3899, 3945, 3979, 4004, 4033, 4058, 4122, 4126, 4126, 4371, 4459, 4529, 4636, 4707, 4894, 4930, 5409, 5829, 5962, 6289, 6308, 7264, 7618, 8439, 9443, 10333, 10824, 10921, 11722, 12579, 31385, 39445 ]
3
[ 0, 14, 16, 8, 9, 22, 4, 9, 9, 26, 29, 1, 9, 29, 3, 30, 3, 7, 78, 95, 44, 35, 58, 210, 1, 2, 84, 18, 19, 25, 76, 33, 70, 73, 47, 19, 1, 19, 41, 5, 37, 25, 12, 41, 13, 235, 65, 9, 35, 74, 67, 11, 26, 340, 94, 147, 158, 20, 96, 106, 52, 28, 8, 54, 15, 103, 91, 81, 126, 8, 13, 81, 35, 174, 0, 138, 46, 34, 25, 29, 25, 64, 4, 0, 245, 88, 70, 107, 71, 187, 36, 479, 420, 133, 327, 19, 956, 354, 821, 1004, 890, 491, 97, 801, 857, 18806, 8060 ]
107
1,594
[ 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 9, 14, 37, 55, 78, 128, 156, 157, 164, 214, 222, 307, 336, 353, 353, 396, 403, 458, 470, 480, 481, 500, 501, 559, 592, 598, 602, 605, 605, 621, 623, 629, 634, 637, 639, 661, 663, 667, 672, 674, 677, 710, 715, 751, 771, 783, 784, 795, 801, 802, 812, 826, 840, 856, 880, 882, 904, 915, 962, 966, 996, 1002, 1046, 1055, 1170, 1184, 1190, 1222, 1235, 1252, 1299, 1317, 1328, 1331, 1348, 1378, 1378, 1378, 1383, 1455, 1460, 1529, 1568, 1993, 2369, 3746, 55893, 55901, 55911, 55913, 55960, 56282 ]
3
[ 0, 9, 5, 23, 18, 23, 50, 28, 1, 7, 50, 8, 85, 29, 17, 0, 43, 7, 55, 12, 10, 1, 19, 1, 58, 33, 6, 4, 3, 0, 16, 2, 6, 5, 3, 2, 22, 2, 4, 5, 2, 3, 33, 5, 36, 20, 12, 1, 11, 6, 1, 10, 14, 14, 16, 24, 2, 22, 11, 47, 4, 30, 6, 44, 9, 115, 14, 6, 32, 13, 17, 47, 18, 11, 3, 17, 30, 0, 0, 5, 72, 5, 69, 39, 425, 376, 1377, 52147, 8, 10, 2, 47, 322 ]
93
1,595
[ 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1 ]
[ 0, 9, 21, 52, 61, 61, 153, 181, 523, 574, 1179, 1229, 1556, 1994, 7416, 7853, 11975, 11995, 12008, 12008, 12020, 12098, 12157, 12158, 12227, 12426, 12671, 12685, 12711, 12742, 12774, 12880, 13072, 13074, 13344, 13803, 13879, 14079, 14104, 14349, 14483, 14748, 15005, 15264, 15426, 18090, 22045, 22509, 26252, 27212, 28751, 32630, 34322, 44979, 74092, 77216, 81762, 83627, 83661, 83891, 90147, 90302, 96570, 177056, 265862, 283985, 287017, 332167, 353386 ]
3
[ 0, 9, 12, 31, 9, 0, 92, 28, 342, 51, 605, 50, 327, 438, 5422, 437, 4122, 20, 13, 0, 12, 78, 59, 1, 69, 199, 245, 14, 26, 31, 32, 106, 192, 2, 270, 459, 76, 200, 25, 245, 134, 265, 257, 259, 162, 2664, 3955, 464, 3743, 960, 1539, 3879, 1692, 10657, 29113, 3124, 4546, 1865, 34, 230, 6256, 155, 6268, 80486, 88806, 18123, 3032, 45150, 21219 ]
69
1,596
[ 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0 ]
[ 0, 12, 13, 18, 20, 21, 21, 22, 22, 25, 28, 35, 37, 40, 41, 43, 47, 51, 53, 63, 65, 67, 69, 71, 77, 78, 78, 81, 82, 84, 87, 87, 103, 106, 106, 117, 131, 138, 150, 151, 152, 164, 169, 172, 176, 196, 198, 199, 213, 218, 238, 239, 271, 315, 319, 342, 344, 364, 367, 371, 389, 396, 411, 415, 417, 436, 472, 495, 526, 528, 542, 579, 584, 629, 646, 654, 674, 753, 765, 769, 838, 847, 861, 869, 872, 922, 961, 976, 1014, 1126, 1126, 1134, 1134, 1208, 1237, 1238, 1257, 1343, 1379, 1416, 1436, 1875, 1914, 1914, 1981, 2168, 2402, 2732, 2945, 3229, 3373, 3405, 3695, 4043, 4204, 4221, 4819, 5425, 5946, 11430, 12403, 24839, 25049, 26247, 29167, 31865, 36318, 37885, 38806, 41893, 53557, 55992, 57898, 58488, 58488, 66887, 69952, 81630, 85419, 85960, 92340, 117948, 149958, 152167, 157304, 165651, 234767, 261234, 307333, 313832, 315229, 315269, 335386, 335865, 336035, 338149, 339578, 342055, 344341, 345694, 348856, 349857, 354711, 355347, 356555, 380328, 389248, 392063, 406658, 406989, 408933, 413594, 426661, 427264, 429353, 433726, 433780, 435407, 476574, 479213, 492420, 554774, 577273, 587361 ]
3
[ 0, 12, 1, 5, 2, 1, 0, 1, 0, 3, 3, 7, 2, 3, 1, 2, 4, 4, 2, 10, 2, 2, 2, 2, 6, 1, 0, 3, 1, 2, 3, 0, 16, 3, 0, 11, 14, 7, 12, 1, 1, 12, 5, 3, 4, 20, 2, 1, 14, 5, 20, 1, 32, 44, 4, 23, 2, 20, 3, 4, 18, 7, 15, 4, 2, 19, 36, 23, 31, 2, 14, 37, 5, 45, 17, 8, 20, 79, 12, 4, 69, 9, 14, 8, 3, 50, 39, 15, 38, 112, 0, 8, 0, 74, 29, 1, 19, 86, 36, 37, 20, 439, 39, 0, 67, 187, 234, 330, 213, 284, 144, 32, 290, 348, 161, 17, 598, 606, 521, 5484, 973, 12436, 210, 1198, 2920, 2698, 4453, 1567, 921, 3087, 11664, 2435, 1906, 590, 0, 8399, 3065, 11678, 3789, 541, 6380, 25608, 32010, 2209, 5137, 8347, 69116, 26467, 46099, 6499, 1397, 40, 20117, 479, 170, 2114, 1429, 2477, 2286, 1353, 3162, 1001, 4854, 636, 1208, 23773, 8920, 2815, 14595, 331, 1944, 4661, 13067, 603, 2089, 4373, 54, 1627, 41167, 2639, 13207, 62354, 22499, 10088 ]
184
1,597
[ 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1 ]
[ 0, 8, 12, 36, 50, 52, 74, 79, 96, 98, 109, 122, 178, 237, 254, 261, 304, 304, 376, 411, 444, 544, 560, 664, 692, 717, 780, 948, 960, 971, 987, 1053, 1182, 1334, 1743, 1805, 1957, 2394, 3227, 4510, 6391, 8144, 11234, 12158, 24001, 24004, 25637, 26116, 31130, 31197, 31264, 42358, 42404, 47481, 54987, 66418, 83186, 83493, 84217, 96093, 99495, 189991, 189996, 190018, 190043, 190062, 190108, 190119, 190164, 190224, 190362, 190388, 190441, 190607, 190784, 191802, 250658, 371029, 443894 ]
3
[ 0, 8, 4, 24, 14, 2, 22, 5, 17, 2, 11, 13, 56, 59, 17, 7, 43, 0, 72, 35, 33, 100, 16, 104, 28, 25, 63, 168, 12, 11, 16, 66, 129, 152, 409, 62, 152, 437, 833, 1283, 1881, 1753, 3090, 924, 11843, 3, 1633, 479, 5014, 67, 67, 11094, 46, 5077, 7506, 11431, 16768, 307, 724, 11876, 3402, 90496, 5, 22, 25, 19, 46, 11, 45, 60, 138, 26, 53, 166, 177, 1018, 58856, 120371, 72865 ]
79
1,598
[ 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1 ]
[ 0, 5, 5, 12, 13, 17, 19, 20, 23, 25, 25, 31, 35, 45, 46, 49, 49, 49, 50, 50, 53, 63, 65, 67, 70, 71, 74, 75, 82, 85, 97, 101, 105, 111, 120, 123, 134, 140, 145, 145, 163, 172, 189, 189, 197, 209, 217, 239, 255, 260, 282, 289, 302, 312, 326, 350, 355, 358, 371, 376, 390, 395, 482, 496, 499, 546, 583, 601, 632, 677, 693, 709, 757, 823, 856, 923, 1001, 1082, 1084, 1106, 1115, 1121, 1147, 1151, 1184, 1222, 1516, 1541, 1663, 1697, 1875, 1887, 2050, 2140, 2276, 2642, 2936, 2998, 3100, 3122, 3162, 3229, 3298, 3448, 3788, 3819, 4062, 4220, 4240, 5238, 5959, 6283, 6437, 15273, 17107, 26268, 29107, 73848 ]
3
[ 0, 5, 0, 7, 1, 4, 2, 1, 3, 2, 0, 6, 4, 10, 1, 3, 0, 0, 1, 0, 3, 10, 2, 2, 3, 1, 3, 1, 7, 3, 12, 4, 4, 6, 9, 3, 11, 6, 5, 0, 18, 9, 17, 0, 8, 12, 8, 22, 16, 5, 22, 7, 13, 10, 14, 24, 5, 3, 13, 5, 14, 5, 87, 14, 3, 47, 37, 18, 31, 45, 16, 16, 48, 66, 33, 67, 78, 81, 2, 22, 9, 6, 26, 4, 33, 38, 294, 25, 122, 34, 178, 12, 163, 90, 136, 366, 294, 62, 102, 22, 40, 67, 69, 150, 340, 31, 243, 158, 20, 998, 721, 324, 154, 8836, 1834, 9161, 2839, 44741 ]
118
1,599
[ 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]