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, 15, 16, 22, 22, 26, 28, 30, 31, 36, 39, 39, 47, 50, 54, 58, 66, 70, 86, 88, 93, 95, 97, 99, 122, 124, 124, 130, 131, 136, 139, 148, 166, 183, 184, 192, 193, 206, 207, 218, 219, 222, 224, 248, 265, 279, 286, 303, 308, 317, 331, 351, 364, 368, 380, 384, 392, 392, 399, 399, 406, 426, 428, 430, 430, 437, 444, 455, 487, 512, 512, 591, 595, 634, 654, 657, 672, 688, 699, 721, 727, 739, 763, 787, 816, 842, 864, 880, 920, 927, 954, 993, 997, 1017, 1029, 1046, 1051, 1094, 1201, 1226, 1318, 1330, 1347, 1381, 1406, 1431, 1483, 1627, 1663, 1666, 1671, 1720, 1799, 1814, 2008, 2144, 2163, 2240, 2250, 2573, 2636, 2851, 2861, 2993, 3005, 3048, 3132, 3226, 3306, 3466, 3489, 3800, 3882, 3883, 4068, 4169, 4313, 4479, 5010, 5136, 7088, 8448, 8471, 9088, 9800, 10805, 18962, 20235, 23487, 23639, 24142, 25155, 27786, 32637, 34816, 36539, 38804, 38963, 43829, 47018, 47889, 49368, 49576, 50277, 51971, 52637, 104852, 104973, 105175, 105316, 107069, 109326, 112865, 116089, 116117, 118773, 124058, 206582, 220369 ]
3
[ 0, 15, 1, 6, 0, 4, 2, 2, 1, 5, 3, 0, 8, 3, 4, 4, 8, 4, 16, 2, 5, 2, 2, 2, 23, 2, 0, 6, 1, 5, 3, 9, 18, 17, 1, 8, 1, 13, 1, 11, 1, 3, 2, 24, 17, 14, 7, 17, 5, 9, 14, 20, 13, 4, 12, 4, 8, 0, 7, 0, 7, 20, 2, 2, 0, 7, 7, 11, 32, 25, 0, 79, 4, 39, 20, 3, 15, 16, 11, 22, 6, 12, 24, 24, 29, 26, 22, 16, 40, 7, 27, 39, 4, 20, 12, 17, 5, 43, 107, 25, 92, 12, 17, 34, 25, 25, 52, 144, 36, 3, 5, 49, 79, 15, 194, 136, 19, 77, 10, 323, 63, 215, 10, 132, 12, 43, 84, 94, 80, 160, 23, 311, 82, 1, 185, 101, 144, 166, 531, 126, 1952, 1360, 23, 617, 712, 1005, 8157, 1273, 3252, 152, 503, 1013, 2631, 4851, 2179, 1723, 2265, 159, 4866, 3189, 871, 1479, 208, 701, 1694, 666, 52215, 121, 202, 141, 1753, 2257, 3539, 3224, 28, 2656, 5285, 82524, 13787 ]
179
2,500
[ 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1 ]
[ 0, 39, 63, 66, 70, 75, 93, 109, 124, 152, 168, 176, 179, 191, 209, 226, 248, 267, 316, 328, 339, 359, 368, 397, 478, 666, 668, 694, 760, 788, 801, 860, 886, 960, 1029, 1152, 1185, 1307, 1465, 1741, 1776, 1813, 2003, 2208, 2394, 2714, 2813, 2871, 3333, 4007, 4092, 4575, 5618, 7294, 7904, 8101, 8202, 8572, 8690, 10256, 11013, 12130, 13705, 13769, 13935, 15057, 19124, 20782, 22198, 22880, 26456, 26891, 26953, 26953, 27233, 34617, 35112, 45635, 47030, 74923, 539541, 539615 ]
3
[ 0, 39, 24, 3, 4, 5, 18, 16, 15, 28, 16, 8, 3, 12, 18, 17, 22, 19, 49, 12, 11, 20, 9, 29, 81, 188, 2, 26, 66, 28, 13, 59, 26, 74, 69, 123, 33, 122, 158, 276, 35, 37, 190, 205, 186, 320, 99, 58, 462, 674, 85, 483, 1043, 1676, 610, 197, 101, 370, 118, 1566, 757, 1117, 1575, 64, 166, 1122, 4067, 1658, 1416, 682, 3576, 435, 62, 0, 280, 7384, 495, 10523, 1395, 27893, 464618, 74 ]
82
2,501
[ 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1 ]
[ 0, 1, 2, 5, 7, 18, 18, 18, 21, 27, 31, 32, 33, 36, 38, 40, 41, 43, 43, 45, 46, 51, 55, 61, 64, 65, 65, 66, 66, 69, 72, 74, 76, 78, 79, 83, 83, 83, 85, 90, 90, 94, 95, 96, 98, 100, 100, 106, 109, 110, 114, 118, 124, 127, 131, 135, 140, 141, 157, 165, 176, 183, 195, 198, 201, 206, 221, 235, 236, 242, 259, 324, 341, 342, 360, 365, 372, 375, 376, 401, 405, 425, 429, 437, 525, 527, 533, 567, 579, 582, 587, 603, 605, 612, 623, 659, 682, 733, 755, 812, 822, 896, 915, 933, 994, 1000, 1010, 1016, 1031, 1112, 1181, 1195, 1224, 1293, 1310, 1401, 1407, 1526, 1742, 1759, 1802, 1910, 1948, 2007, 2028, 2130, 2332, 2438, 2625, 2902, 3107, 3114, 3278, 3315, 3383, 3493, 3639, 4003, 4487, 4768, 7057, 7299, 8426, 8728, 8899, 8901, 8939, 9172, 9255, 9312, 9326, 9489, 10024, 10252, 11158, 20110, 21623, 22259, 24163, 27320, 76332, 114834, 116619, 249543, 459436 ]
3
[ 0, 1, 1, 3, 2, 11, 0, 0, 3, 6, 4, 1, 1, 3, 2, 2, 1, 2, 0, 2, 1, 5, 4, 6, 3, 1, 0, 1, 0, 3, 3, 2, 2, 2, 1, 4, 0, 0, 2, 5, 0, 4, 1, 1, 2, 2, 0, 6, 3, 1, 4, 4, 6, 3, 4, 4, 5, 1, 16, 8, 11, 7, 12, 3, 3, 5, 15, 14, 1, 6, 17, 65, 17, 1, 18, 5, 7, 3, 1, 25, 4, 20, 4, 8, 88, 2, 6, 34, 12, 3, 5, 16, 2, 7, 11, 36, 23, 51, 22, 57, 10, 74, 19, 18, 61, 6, 10, 6, 15, 81, 69, 14, 29, 69, 17, 91, 6, 119, 216, 17, 43, 108, 38, 59, 21, 102, 202, 106, 187, 277, 205, 7, 164, 37, 68, 110, 146, 364, 484, 281, 2289, 242, 1127, 302, 171, 2, 38, 233, 83, 57, 14, 163, 535, 228, 906, 8952, 1513, 636, 1904, 3157, 49012, 38502, 1785, 132924, 209893 ]
165
2,502
[ 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1 ]
[ 0, 16, 48, 49, 50, 59, 62, 72, 87, 90, 95, 98, 99, 111, 116, 116, 119, 157, 176, 180, 185, 236, 382, 387, 408, 409, 426, 433, 441, 465, 473, 558, 693, 763, 820, 888, 888, 911, 911, 917, 917, 1086, 1101, 1156, 1164, 1402, 1427, 1753, 1787, 1790, 1986, 2186, 2293, 2432, 2580, 2580, 5085, 6138, 7301, 7325, 8079, 8730, 10987, 11107, 11744, 16096, 27135, 56795, 57317, 57565, 57585, 70087, 70452, 70757, 71218, 73141, 73915, 75029, 75050, 75052, 75097, 75111, 75114, 75128, 75132, 75145, 75149, 75152, 75155, 75157, 75158, 75159, 75164, 75167, 75193, 75197, 75215, 75233, 75250, 75265, 75286, 75288, 75305, 75335, 75353, 75362, 75368, 75373, 75396, 75477, 75482, 75493, 75513, 75520, 75564, 75564, 75610, 75800, 75844, 76202, 76272, 76307, 76980, 77558, 77767, 77965, 78653, 101555, 101582, 101592, 101600, 101614, 101616, 101616, 101626, 101627, 101631, 101631, 101637, 101640, 101652, 101657, 101658, 101659, 101664, 101668, 101674, 101675, 101678, 101701, 101718, 101727, 101740, 101742, 101750, 101757, 101769, 101822, 101836, 101851, 101900, 101923, 101928, 101964, 101965, 102020, 102024, 102028, 102052, 102089, 102097, 102144, 102150, 102177, 102191, 102210, 102221, 102223, 102266, 102271, 102307, 102497, 102523, 102568, 102581, 102592, 102626, 102658, 102696, 102798, 102954, 103114, 103185, 103263, 103353, 107853, 131586, 132286, 133482, 187739, 190017, 212952, 295415, 364640, 415776, 449971, 465814, 469032 ]
3
[ 0, 16, 32, 1, 1, 9, 3, 10, 15, 3, 5, 3, 1, 12, 5, 0, 3, 38, 19, 4, 5, 51, 146, 5, 21, 1, 17, 7, 8, 24, 8, 85, 135, 70, 57, 68, 0, 23, 0, 6, 0, 169, 15, 55, 8, 238, 25, 326, 34, 3, 196, 200, 107, 139, 148, 0, 2505, 1053, 1163, 24, 754, 651, 2257, 120, 637, 4352, 11039, 29660, 522, 248, 20, 12502, 365, 305, 461, 1923, 774, 1114, 21, 2, 45, 14, 3, 14, 4, 13, 4, 3, 3, 2, 1, 1, 5, 3, 26, 4, 18, 18, 17, 15, 21, 2, 17, 30, 18, 9, 6, 5, 23, 81, 5, 11, 20, 7, 44, 0, 46, 190, 44, 358, 70, 35, 673, 578, 209, 198, 688, 22902, 27, 10, 8, 14, 2, 0, 10, 1, 4, 0, 6, 3, 12, 5, 1, 1, 5, 4, 6, 1, 3, 23, 17, 9, 13, 2, 8, 7, 12, 53, 14, 15, 49, 23, 5, 36, 1, 55, 4, 4, 24, 37, 8, 47, 6, 27, 14, 19, 11, 2, 43, 5, 36, 190, 26, 45, 13, 11, 34, 32, 38, 102, 156, 160, 71, 78, 90, 4500, 23733, 700, 1196, 54257, 2278, 22935, 82463, 69225, 51136, 34195, 15843, 3218 ]
208
2,503
[ 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0 ]
[ 0, 9, 25, 32, 35, 37, 54, 56, 72, 76, 82, 90, 106, 118, 136, 147, 200, 208, 230, 326, 372, 421, 444, 476, 589, 597, 603, 617, 750, 842, 908, 1064, 1080, 1267, 1851, 2069, 2615, 2738, 3273, 3366, 3441, 3568, 3589, 4216, 4444, 5368, 5819, 6966, 7132, 8914, 10424, 48777 ]
3
[ 0, 9, 16, 7, 3, 2, 17, 2, 16, 4, 6, 8, 16, 12, 18, 11, 53, 8, 22, 96, 46, 49, 23, 32, 113, 8, 6, 14, 133, 92, 66, 156, 16, 187, 584, 218, 546, 123, 535, 93, 75, 127, 21, 627, 228, 924, 451, 1147, 166, 1782, 1510, 38353 ]
52
2,504
[ 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1 ]
[ 0, 85, 155, 159, 181, 262, 265, 288, 312, 359, 501, 512, 524, 531, 546, 605, 748, 776, 783, 808, 834, 1020, 1037, 1076, 1092, 1102, 1126, 1134, 1143, 1201, 1266, 1381, 1506, 1522, 1897, 2012, 2120, 2646, 2653, 2671, 2707, 2736, 2784, 2895, 7646, 8877, 10212, 10479, 10494, 10812, 11408, 11519, 12107, 21027, 28668, 72184, 82043 ]
3
[ 0, 85, 70, 4, 22, 81, 3, 23, 24, 47, 142, 11, 12, 7, 15, 59, 143, 28, 7, 25, 26, 186, 17, 39, 16, 10, 24, 8, 9, 58, 65, 115, 125, 16, 375, 115, 108, 526, 7, 18, 36, 29, 48, 111, 4751, 1231, 1335, 267, 15, 318, 596, 111, 588, 8920, 7641, 43516, 9859 ]
57
2,505
[ 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1 ]
[ 0, 17, 40, 46, 50, 53, 53, 71, 72, 72, 84, 92, 93, 94, 100, 111, 112, 112, 126, 129, 136, 137, 142, 144, 157, 237, 239, 239, 257, 300, 311, 407, 427, 429, 436, 443, 473, 501, 589, 611, 650, 691, 720, 844, 855, 1240, 1263, 1271, 1290, 1357, 1452, 1519, 1658, 1751, 1853, 1960, 2086, 2247, 2300, 2337, 2467, 2623, 2980, 3011, 3325, 3557, 3959, 4202, 4653, 4923, 5165, 5319, 9326, 10427, 11211, 12718, 12933, 13411, 14258, 14930, 16187, 16517, 17425, 19332, 21616, 26833, 27148, 29102, 33252, 38027, 41133, 44595, 48467, 54263, 76438, 116172, 122922, 123245, 169636, 185963, 208517 ]
3
[ 0, 17, 23, 6, 4, 3, 0, 18, 1, 0, 12, 8, 1, 1, 6, 11, 1, 0, 14, 3, 7, 1, 5, 2, 13, 80, 2, 0, 18, 43, 11, 96, 20, 2, 7, 7, 30, 28, 88, 22, 39, 41, 29, 124, 11, 385, 23, 8, 19, 67, 95, 67, 139, 93, 102, 107, 126, 161, 53, 37, 130, 156, 357, 31, 314, 232, 402, 243, 451, 270, 242, 154, 4007, 1101, 784, 1507, 215, 478, 847, 672, 1257, 330, 908, 1907, 2284, 5217, 315, 1954, 4150, 4775, 3106, 3462, 3872, 5796, 22175, 39734, 6750, 323, 46391, 16327, 22554 ]
101
2,506
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1 ]
[ 0, 14, 14, 19, 24, 40, 42, 59, 66, 68, 82, 90, 91, 114, 128, 161, 161, 178, 180, 185, 200, 223, 230, 249, 251, 267, 283, 291, 314, 318, 391, 425, 428, 445, 451, 479, 593, 623, 638, 695, 775, 816, 857, 1013, 1042, 1046, 1051, 1087, 1141, 1276, 1363, 1409, 1447, 1451, 1491, 1573, 1886, 2086, 2287, 2416, 2443, 2449, 2519, 2637, 2681, 2911, 3064, 3418, 3480, 3538, 3584, 3932, 4300, 4310, 4447, 4538, 4792, 4883, 4900, 4913, 5029, 5142, 5357, 5542, 5624, 5754, 6932, 7095, 7749, 8097, 8822, 9152, 9272, 9437, 9644, 10119, 10474, 11377, 12303, 12467, 12538, 13184, 13243, 13350, 14266, 14932, 15016, 15557, 15791, 16085, 16659, 17981, 24065, 33223, 35998, 36976, 40872, 41478, 42318, 42604, 43350, 44560, 49061, 54335, 54660, 54917, 55239, 58550, 66117, 68997, 69429, 77471, 96124, 97920, 102739, 179385, 219742, 238067, 245238, 418836, 419246 ]
3
[ 0, 14, 0, 5, 5, 16, 2, 17, 7, 2, 14, 8, 1, 23, 14, 33, 0, 17, 2, 5, 15, 23, 7, 19, 2, 16, 16, 8, 23, 4, 73, 34, 3, 17, 6, 28, 114, 30, 15, 57, 80, 41, 41, 156, 29, 4, 5, 36, 54, 135, 87, 46, 38, 4, 40, 82, 313, 200, 201, 129, 27, 6, 70, 118, 44, 230, 153, 354, 62, 58, 46, 348, 368, 10, 137, 91, 254, 91, 17, 13, 116, 113, 215, 185, 82, 130, 1178, 163, 654, 348, 725, 330, 120, 165, 207, 475, 355, 903, 926, 164, 71, 646, 59, 107, 916, 666, 84, 541, 234, 294, 574, 1322, 6084, 9158, 2775, 978, 3896, 606, 840, 286, 746, 1210, 4501, 5274, 325, 257, 322, 3311, 7567, 2880, 432, 8042, 18653, 1796, 4819, 76646, 40357, 18325, 7171, 173598, 410 ]
141
2,507
[ 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1 ]
[ 0, 7, 12, 38, 43, 61, 63, 124, 136, 156, 194, 230, 261, 270, 280, 481, 646, 685, 1024, 1028, 1312, 1323, 1408, 1593, 1596, 1920, 2375, 3185, 3891, 3903, 4018, 4157, 4179, 7546, 10431, 12955, 13257, 13721, 24445, 31353, 38056, 43751, 44083, 44124, 44126, 44148, 44174, 44184, 44188, 44189, 44199, 44223, 44227, 44233, 44262, 44293, 44302, 44315, 44316, 44346, 44352, 44363, 44374, 44386, 44386, 44389, 44390, 44399, 44402, 44404, 44405, 44413, 44417, 44428, 44450, 44539, 44554, 44574, 44599, 44621, 44646, 44653, 44676, 44685, 44685, 44704, 44730, 44745, 44818, 44858, 44890, 44905, 45011, 45040, 45059, 45150, 45179, 45283, 45545, 45652, 45692, 45700, 45831, 45845, 45970, 46266, 46433, 46561, 46577, 46640, 46720, 46779, 47054, 47068, 47069, 47073, 47360, 47431, 47561, 47575, 47946, 48154, 48155, 48431, 49153, 50798, 52266, 52427, 54618, 55031, 58853, 59344, 59757, 63321, 64533, 72089, 72551, 90251, 486571, 515768 ]
3
[ 0, 7, 5, 26, 5, 18, 2, 61, 12, 20, 38, 36, 31, 9, 10, 201, 165, 39, 339, 4, 284, 11, 85, 185, 3, 324, 455, 810, 706, 12, 115, 139, 22, 3367, 2885, 2524, 302, 464, 10724, 6908, 6703, 5695, 332, 41, 2, 22, 26, 10, 4, 1, 10, 24, 4, 6, 29, 31, 9, 13, 1, 30, 6, 11, 11, 12, 0, 3, 1, 9, 3, 2, 1, 8, 4, 11, 22, 89, 15, 20, 25, 22, 25, 7, 23, 9, 0, 19, 26, 15, 73, 40, 32, 15, 106, 29, 19, 91, 29, 104, 262, 107, 40, 8, 131, 14, 125, 296, 167, 128, 16, 63, 80, 59, 275, 14, 1, 4, 287, 71, 130, 14, 371, 208, 1, 276, 722, 1645, 1468, 161, 2191, 413, 3822, 491, 413, 3564, 1212, 7556, 462, 17700, 396320, 29197 ]
140
2,508
[ 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 0, 86, 109, 127, 129, 168, 302, 1052, 1792, 2692, 3312, 4085, 4181, 4908, 6701, 6770, 9707, 12542, 14050, 15740, 19944, 20066, 20140, 20754, 21496, 21519, 21522, 21739, 21809, 21893, 21923, 21977, 22424, 22426, 22550, 22639, 23427, 24863, 24961, 25247, 25849, 28546, 28554, 28572, 28593, 28594, 28604, 28636, 28640, 28675, 28681, 28692, 28709, 28711, 28772, 28785, 28825, 28858, 28863, 28908, 28952, 29034, 29163, 29501, 29822, 29840, 30068, 30150, 30247, 30416, 30425, 30449, 30752, 30895, 31034, 31755, 32130, 32534, 33548, 35460, 35528, 35980, 36137, 40428, 42726, 46320, 46429, 47295, 47353, 47462, 47637, 47746, 53181, 59723, 60059, 60227, 60331, 67170, 84717, 120057, 125462, 151529, 369260 ]
3
[ 0, 86, 23, 18, 2, 39, 134, 750, 740, 900, 620, 773, 96, 727, 1793, 69, 2937, 2835, 1508, 1690, 4204, 122, 74, 614, 742, 23, 3, 217, 70, 84, 30, 54, 447, 2, 124, 89, 788, 1436, 98, 286, 602, 2697, 8, 18, 21, 1, 10, 32, 4, 35, 6, 11, 17, 2, 61, 13, 40, 33, 5, 45, 44, 82, 129, 338, 321, 18, 228, 82, 97, 169, 9, 24, 303, 143, 139, 721, 375, 404, 1014, 1912, 68, 452, 157, 4291, 2298, 3594, 109, 866, 58, 109, 175, 109, 5435, 6542, 336, 168, 104, 6839, 17547, 35340, 5405, 26067, 217731 ]
103
2,509
[ 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0 ]
[ 0, 2, 3, 27, 33, 48, 71, 91, 113, 116, 142, 240, 260, 274, 280, 349, 368, 411, 478, 539, 540, 547, 589, 603, 673, 717, 893, 1016, 1020, 1031, 1032, 1039, 1057, 1112, 1212, 1310, 1732, 1830, 1953, 2045, 2121, 2308, 2348, 2377, 2386, 2692, 2881, 3094, 3433, 3584, 3840, 4166, 4249, 4517, 4517, 4519, 5147, 5210, 5550, 6492, 6708, 7437, 7735, 8176, 8246, 8972, 9734, 11420, 11791, 14402, 14753, 17126, 19327, 21736, 24129, 25977, 26873, 26968, 29469, 31578, 32228, 67073, 69706, 93823, 94046, 94115, 95752, 96907, 99318, 120554, 172842, 224804 ]
3
[ 0, 2, 1, 24, 6, 15, 23, 20, 22, 3, 26, 98, 20, 14, 6, 69, 19, 43, 67, 61, 1, 7, 42, 14, 70, 44, 176, 123, 4, 11, 1, 7, 18, 55, 100, 98, 422, 98, 123, 92, 76, 187, 40, 29, 9, 306, 189, 213, 339, 151, 256, 326, 83, 268, 0, 2, 628, 63, 340, 942, 216, 729, 298, 441, 70, 726, 762, 1686, 371, 2611, 351, 2373, 2201, 2409, 2393, 1848, 896, 95, 2501, 2109, 650, 34845, 2633, 24117, 223, 69, 1637, 1155, 2411, 21236, 52288, 51962 ]
92
2,510
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 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, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ 0, 3, 29, 39, 41, 42, 62, 78, 82, 98, 111, 123, 162, 173, 191, 218, 279, 302, 314, 325, 330, 337, 348, 416, 418, 440, 538, 552, 641, 663, 757, 761, 777, 798, 799, 826, 838, 848, 860, 864, 1136, 1187, 1218, 1277, 1368, 1507, 1628, 1736, 1830, 1905, 1968, 2089, 2367, 2377, 2566, 2783, 2886, 2961, 3134, 3247, 3338, 3705, 3803, 4207, 4325, 4537, 5662, 5714, 6160, 6997, 8498, 8713, 14057, 15591, 16892, 17637, 17663, 17769, 17781, 19740, 20547, 22518, 26005, 31418, 31745, 36223, 58341, 58370, 67402, 99573, 101112, 101656, 101816, 101875, 102054, 102559, 102969, 104448, 107999, 115642, 132434, 166574, 170325, 170719, 201279, 201969, 202549, 233560, 241513, 243309, 243806, 247875, 254454, 256521, 273528, 280701, 291940, 338125, 360785, 365956, 368127, 373298, 414776, 447104, 456971, 588323 ]
3
[ 0, 3, 26, 10, 2, 1, 20, 16, 4, 16, 13, 12, 39, 11, 18, 27, 61, 23, 12, 11, 5, 7, 11, 68, 2, 22, 98, 14, 89, 22, 94, 4, 16, 21, 1, 27, 12, 10, 12, 4, 272, 51, 31, 59, 91, 139, 121, 108, 94, 75, 63, 121, 278, 10, 189, 217, 103, 75, 173, 113, 91, 367, 98, 404, 118, 212, 1125, 52, 446, 837, 1501, 215, 5344, 1534, 1301, 745, 26, 106, 12, 1959, 807, 1971, 3487, 5413, 327, 4478, 22118, 29, 9032, 32171, 1539, 544, 160, 59, 179, 505, 410, 1479, 3551, 7643, 16792, 34140, 3751, 394, 30560, 690, 580, 31011, 7953, 1796, 497, 4069, 6579, 2067, 17007, 7173, 11239, 46185, 22660, 5171, 2171, 5171, 41478, 32328, 9867, 131352 ]
126
2,511
[ 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 8, 12, 15, 17, 31, 81, 85, 86, 92, 100, 119, 120, 170, 173, 182, 218, 247, 321, 322, 340, 348, 371, 494, 574, 594, 613, 639, 641, 644, 691, 754, 754, 805, 863, 897, 966, 1020, 1020, 1073, 1073, 1077, 1077, 1180, 1218, 1240, 1273, 1276, 1349, 1479, 1481, 1679, 1740, 1760, 1780, 1828, 1864, 1877, 1955, 1986, 2013, 2049, 2097, 2144, 2312, 2428, 2454, 2455, 2468, 2529, 2558, 2565, 2650, 2744, 2783, 2810, 2939, 2962, 2976, 3128, 3207, 3772, 4334, 4352, 4407, 4473, 4540, 4636, 4755, 4766, 4780, 5027, 5254, 5283, 6012, 6014, 6046, 6430, 6687, 7201, 7343, 7347, 7783, 7874, 8251, 8284, 8443, 9040, 9159, 10982, 11702, 11851, 12103, 12342, 13242, 13553, 14886, 15267, 15347, 15893, 16852, 17312, 18442, 18879, 21354, 21378, 22364, 23327, 24553, 29211, 36140, 40609, 108979 ]
3
[ 0, 8, 4, 3, 2, 14, 50, 4, 1, 6, 8, 19, 1, 50, 3, 9, 36, 29, 74, 1, 18, 8, 23, 123, 80, 20, 19, 26, 2, 3, 47, 63, 0, 51, 58, 34, 69, 54, 0, 53, 0, 4, 0, 103, 38, 22, 33, 3, 73, 130, 2, 198, 61, 20, 20, 48, 36, 13, 78, 31, 27, 36, 48, 47, 168, 116, 26, 1, 13, 61, 29, 7, 85, 94, 39, 27, 129, 23, 14, 152, 79, 565, 562, 18, 55, 66, 67, 96, 119, 11, 14, 247, 227, 29, 729, 2, 32, 384, 257, 514, 142, 4, 436, 91, 377, 33, 159, 597, 119, 1823, 720, 149, 252, 239, 900, 311, 1333, 381, 80, 546, 959, 460, 1130, 437, 2475, 24, 986, 963, 1226, 4658, 6929, 4469, 68370 ]
133
2,512
[ 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1 ]
[ 0, 6, 21, 27, 29, 30, 33, 34, 38, 46, 47, 50, 51, 51, 62, 62, 63, 63, 65, 70, 80, 80, 84, 89, 91, 91, 92, 93, 96, 100, 101, 106, 108, 111, 112, 114, 115, 116, 120, 127, 132, 138, 142, 159, 161, 161, 174, 181, 192, 193, 193, 199, 232, 233, 239, 249, 255, 275, 297, 308, 316, 317, 335, 355, 356, 358, 380, 397, 402, 422, 425, 428, 463, 473, 523, 541, 543, 587, 591, 601, 649, 652, 657, 670, 671, 683, 695, 702, 720, 731, 736, 791, 810, 846, 849, 861, 866, 912, 922, 1022, 1037, 1069, 1072, 1083, 1110, 1131, 1149, 1254, 1288, 1335, 1336, 1377, 1385, 1423, 1446, 1487, 1587, 1618, 1660, 1677, 1684, 1692, 1699, 1791, 1826, 1894, 1965, 2088, 2134, 2151, 2175, 2235, 2272, 2273, 2351, 2417, 2430, 2438, 2447, 2454, 2558, 2576, 2703, 2787, 2843, 2999, 3334, 3362, 3464, 3581, 3624, 3696, 3710, 3745, 3802, 3845, 3932, 4294, 4339, 4396, 4427, 4524, 4784, 4951, 4970, 5119, 5130, 5278, 5586, 5826, 5832, 5963, 6222, 6239, 6611, 6670, 6778, 6783, 6861, 7366, 7624, 7966, 8400, 8513, 9483, 9604, 9967, 10187, 10528, 10983, 11275, 11388, 11485, 12118, 12287, 13244, 13253, 13798, 13835, 14034, 14549, 14717, 15258, 16518, 18610, 19395, 19529, 19745, 21117, 24703, 25504, 25775, 35511, 37446, 40007, 40790, 44661, 62930, 65017, 65355, 73646, 75126, 78968, 83824, 84651, 87053, 99006, 107743, 123131, 123249, 124590, 168323, 273761, 406599, 422218 ]
3
[ 0, 6, 15, 6, 2, 1, 3, 1, 4, 8, 1, 3, 1, 0, 11, 0, 1, 0, 2, 5, 10, 0, 4, 5, 2, 0, 1, 1, 3, 4, 1, 5, 2, 3, 1, 2, 1, 1, 4, 7, 5, 6, 4, 17, 2, 0, 13, 7, 11, 1, 0, 6, 33, 1, 6, 10, 6, 20, 22, 11, 8, 1, 18, 20, 1, 2, 22, 17, 5, 20, 3, 3, 35, 10, 50, 18, 2, 44, 4, 10, 48, 3, 5, 13, 1, 12, 12, 7, 18, 11, 5, 55, 19, 36, 3, 12, 5, 46, 10, 100, 15, 32, 3, 11, 27, 21, 18, 105, 34, 47, 1, 41, 8, 38, 23, 41, 100, 31, 42, 17, 7, 8, 7, 92, 35, 68, 71, 123, 46, 17, 24, 60, 37, 1, 78, 66, 13, 8, 9, 7, 104, 18, 127, 84, 56, 156, 335, 28, 102, 117, 43, 72, 14, 35, 57, 43, 87, 362, 45, 57, 31, 97, 260, 167, 19, 149, 11, 148, 308, 240, 6, 131, 259, 17, 372, 59, 108, 5, 78, 505, 258, 342, 434, 113, 970, 121, 363, 220, 341, 455, 292, 113, 97, 633, 169, 957, 9, 545, 37, 199, 515, 168, 541, 1260, 2092, 785, 134, 216, 1372, 3586, 801, 271, 9736, 1935, 2561, 783, 3871, 18269, 2087, 338, 8291, 1480, 3842, 4856, 827, 2402, 11953, 8737, 15388, 118, 1341, 43733, 105438, 132838, 15619 ]
235
2,513
[ 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0 ]
[ 0, 16, 48, 48, 56, 65, 67, 72, 72, 78, 83, 85, 85, 87, 88, 94, 165, 168, 208, 210, 214, 222, 247, 249, 250, 257, 258, 263, 291, 383, 392, 427, 445, 496, 506, 508, 509, 532, 534, 588, 629, 653, 684, 695, 717, 820, 828, 871, 995, 997, 1009, 1020, 1066, 1105, 1118, 1237, 1994, 2140, 2149, 2313, 2314, 2319, 2389, 2398, 2483, 2573, 2609, 2745, 2805, 3021, 3295, 3379, 3486, 3504, 3518, 3674, 3807, 3998, 4099, 4606, 4644, 4880, 5224, 5302, 5501, 6146, 6484, 7727, 8247, 9724, 10103, 10258, 10858, 10907, 11656, 11823, 13485, 16950, 17294, 21621, 23218, 23687, 31822, 38507, 46232, 49785, 51382, 56342, 64344, 74577, 90815, 101423, 121201, 121521, 121623, 144051, 163608, 175537, 177328, 184061, 184924, 233053, 233586, 404440 ]
3
[ 0, 16, 32, 0, 8, 9, 2, 5, 0, 6, 5, 2, 0, 2, 1, 6, 71, 3, 40, 2, 4, 8, 25, 2, 1, 7, 1, 5, 28, 92, 9, 35, 18, 51, 10, 2, 1, 23, 2, 54, 41, 24, 31, 11, 22, 103, 8, 43, 124, 2, 12, 11, 46, 39, 13, 119, 757, 146, 9, 164, 1, 5, 70, 9, 85, 90, 36, 136, 60, 216, 274, 84, 107, 18, 14, 156, 133, 191, 101, 507, 38, 236, 344, 78, 199, 645, 338, 1243, 520, 1477, 379, 155, 600, 49, 749, 167, 1662, 3465, 344, 4327, 1597, 469, 8135, 6685, 7725, 3553, 1597, 4960, 8002, 10233, 16238, 10608, 19778, 320, 102, 22428, 19557, 11929, 1791, 6733, 863, 48129, 533, 170854 ]
124
2,514
[ 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 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, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1 ]
[ 0, 170, 187, 312, 458, 460, 657, 858, 1019, 1020, 1091, 1196, 1227, 1642, 1895, 1895, 2578, 2608, 3043, 3312, 3341, 3411, 3602, 3942, 4027, 4085, 4186, 4355, 6029, 6229, 6724, 7014, 7668, 7891, 8076, 8603, 9311, 9325, 9441, 12894, 14268, 15163, 16465, 16536, 17178, 17361, 18183, 18500, 20920, 23470, 25908, 29822, 33886, 39787, 42050, 55946, 205706, 252795 ]
3
[ 0, 170, 17, 125, 146, 2, 197, 201, 161, 1, 71, 105, 31, 415, 253, 0, 683, 30, 435, 269, 29, 70, 191, 340, 85, 58, 101, 169, 1674, 200, 495, 290, 654, 223, 185, 527, 708, 14, 116, 3453, 1374, 895, 1302, 71, 642, 183, 822, 317, 2420, 2550, 2438, 3914, 4064, 5901, 2263, 13896, 149760, 47089 ]
58
2,515
[ 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1 ]
[ 0, 3, 8, 18, 19, 20, 21, 23, 27, 42, 47, 50, 56, 57, 59, 62, 63, 69, 91, 98, 102, 113, 113, 115, 117, 121, 123, 124, 124, 136, 142, 163, 165, 167, 186, 230, 247, 274, 275, 297, 308, 353, 380, 410, 454, 460, 475, 499, 517, 519, 562, 580, 641, 641, 840, 852, 908, 948, 1110, 1128, 1199, 1292, 1395, 1428, 1620, 1622, 1813, 1870, 1991, 2528, 4347, 4612, 5427, 5572, 7197, 7463, 7852, 8080, 8360, 8420, 40346, 44702, 50521, 55772, 169789, 256172, 600347 ]
3
[ 0, 3, 5, 10, 1, 1, 1, 2, 4, 15, 5, 3, 6, 1, 2, 3, 1, 6, 22, 7, 4, 11, 0, 2, 2, 4, 2, 1, 0, 12, 6, 21, 2, 2, 19, 44, 17, 27, 1, 22, 11, 45, 27, 30, 44, 6, 15, 24, 18, 2, 43, 18, 61, 0, 199, 12, 56, 40, 162, 18, 71, 93, 103, 33, 192, 2, 191, 57, 121, 537, 1819, 265, 815, 145, 1625, 266, 389, 228, 280, 60, 31926, 4356, 5819, 5251, 114017, 86383, 344175 ]
87
2,516
[ 0, 1, 0, 1, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0 ]
[ 0, 5, 9, 16, 20, 21, 22, 23, 25, 29, 32, 36, 38, 39, 42, 43, 49, 50, 51, 53, 53, 59, 61, 65, 67, 69, 75, 100, 105, 110, 173, 180, 210, 245, 249, 251, 263, 284, 284, 392, 393, 394, 423, 442, 448, 489, 492, 517, 720, 766, 864, 937, 953, 1010, 1014, 1119, 1209, 1377, 1497, 1702, 1745, 1880, 2261, 4715, 4754, 5661, 6290, 10900, 16780, 39137, 48649, 59264, 64627, 75197, 75220, 75230, 75277, 75364, 75398, 75595, 75935, 76746, 76791, 78175, 78248, 78253, 78267, 78272, 78299, 78304, 78305, 78473, 78527, 78619, 78708, 79169, 79188, 79218, 79450, 79900, 80985, 81015, 81040, 81040, 81054, 81056, 81057, 81058, 81060, 81061, 81065, 81152, 81174, 81179, 81189, 81199, 81203, 81211, 81215, 81217, 81226, 81333, 81526, 81554, 81647, 81747, 82470, 82796, 86046, 86056, 86059, 86063, 86065, 86066, 86073, 86077, 86081, 86082, 86087, 86098, 86098, 86107, 86109, 86110, 86132, 86150, 86155, 86168, 86176, 86177, 86183, 86198, 86270, 86273, 86279, 86285, 86291, 86339, 86342, 86346, 86382, 86514, 86561, 86568, 86608, 86621, 86722, 86759, 86843, 87007, 87052, 87248, 88801, 89469, 91160, 95251, 156656, 157741, 160117, 160123, 160126, 160129, 160141, 160144, 160236, 160240, 160366, 160393, 160456, 160483, 160671, 160788, 160876, 161448, 172700, 173435, 175964, 181122, 234026, 416956, 488761, 488837, 488850, 488851, 488851, 488855, 488867, 488877, 488879, 488933, 488960, 488987, 489001, 489005, 489009, 489044, 489134, 489161, 489168, 489187, 489220, 489252, 489482, 511227 ]
3
[ 0, 5, 4, 7, 4, 1, 1, 1, 2, 4, 3, 4, 2, 1, 3, 1, 6, 1, 1, 2, 0, 6, 2, 4, 2, 2, 6, 25, 5, 5, 63, 7, 30, 35, 4, 2, 12, 21, 0, 108, 1, 1, 29, 19, 6, 41, 3, 25, 203, 46, 98, 73, 16, 57, 4, 105, 90, 168, 120, 205, 43, 135, 381, 2454, 39, 907, 629, 4610, 5880, 22357, 9512, 10615, 5363, 10570, 23, 10, 47, 87, 34, 197, 340, 811, 45, 1384, 73, 5, 14, 5, 27, 5, 1, 168, 54, 92, 89, 461, 19, 30, 232, 450, 1085, 30, 25, 0, 14, 2, 1, 1, 2, 1, 4, 87, 22, 5, 10, 10, 4, 8, 4, 2, 9, 107, 193, 28, 93, 100, 723, 326, 3250, 10, 3, 4, 2, 1, 7, 4, 4, 1, 5, 11, 0, 9, 2, 1, 22, 18, 5, 13, 8, 1, 6, 15, 72, 3, 6, 6, 6, 48, 3, 4, 36, 132, 47, 7, 40, 13, 101, 37, 84, 164, 45, 196, 1553, 668, 1691, 4091, 61405, 1085, 2376, 6, 3, 3, 12, 3, 92, 4, 126, 27, 63, 27, 188, 117, 88, 572, 11252, 735, 2529, 5158, 52904, 182930, 71805, 76, 13, 1, 0, 4, 12, 10, 2, 54, 27, 27, 14, 4, 4, 35, 90, 27, 7, 19, 33, 32, 230, 21745 ]
224
2,517
[ 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1 ]
[ 0, 3, 42, 50, 50, 75, 91, 99, 104, 112, 123, 144, 147, 207, 215, 216, 245, 250, 257, 281, 282, 304, 317, 342, 372, 475, 664, 693, 724, 752, 792, 851, 978, 1905, 1921, 1922, 1928, 2119, 2153, 2173, 2962, 3242, 3250, 3293, 3955, 3973, 4314, 9139, 10723, 10901, 10973, 27762, 30416, 31310, 42171, 42211, 43098, 53757, 436257, 436271, 436533, 436566, 436988 ]
3
[ 0, 3, 39, 8, 0, 25, 16, 8, 5, 8, 11, 21, 3, 60, 8, 1, 29, 5, 7, 24, 1, 22, 13, 25, 30, 103, 189, 29, 31, 28, 40, 59, 127, 927, 16, 1, 6, 191, 34, 20, 789, 280, 8, 43, 662, 18, 341, 4825, 1584, 178, 72, 16789, 2654, 894, 10861, 40, 887, 10659, 382500, 14, 262, 33, 422 ]
63
2,518
[ 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 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, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0 ]
[ 0, 1, 1, 7, 21, 23, 24, 29, 29, 37, 40, 52, 58, 63, 63, 65, 70, 76, 77, 80, 83, 85, 88, 91, 102, 103, 110, 114, 121, 121, 124, 137, 140, 146, 163, 163, 164, 164, 174, 174, 175, 175, 177, 177, 180, 180, 183, 183, 187, 187, 189, 189, 191, 191, 199, 199, 211, 211, 215, 215, 283, 290, 290, 298, 300, 307, 320, 321, 325, 326, 329, 344, 354, 356, 365, 387, 393, 397, 401, 410, 412, 416, 421, 438, 441, 455, 464, 475, 478, 479, 479, 499, 527, 588, 593, 609, 774, 835, 839, 859, 906, 922, 925, 978, 988, 1018, 1095, 1114, 1243, 1337, 1400, 1581, 1693, 1693, 1698, 1761, 1800, 1846, 1919, 1933, 1942, 1972, 2010, 2037, 2135, 2421, 2660, 2667, 2925, 2970, 3455, 3860, 5270, 8905, 21577, 24438, 37039, 40141 ]
3
[ 0, 1, 0, 6, 14, 2, 1, 5, 0, 8, 3, 12, 6, 5, 0, 2, 5, 6, 1, 3, 3, 2, 3, 3, 11, 1, 7, 4, 7, 0, 3, 13, 3, 6, 17, 0, 1, 0, 10, 0, 1, 0, 2, 0, 3, 0, 3, 0, 4, 0, 2, 0, 2, 0, 8, 0, 12, 0, 4, 0, 68, 7, 0, 8, 2, 7, 13, 1, 4, 1, 3, 15, 10, 2, 9, 22, 6, 4, 4, 9, 2, 4, 5, 17, 3, 14, 9, 11, 3, 1, 0, 20, 28, 61, 5, 16, 165, 61, 4, 20, 47, 16, 3, 53, 10, 30, 77, 19, 129, 94, 63, 181, 112, 0, 5, 63, 39, 46, 73, 14, 9, 30, 38, 27, 98, 286, 239, 7, 258, 45, 485, 405, 1410, 3635, 12672, 2861, 12601, 3102 ]
138
2,519
[ 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0 ]
[ 0, 9, 26, 33, 36, 83, 120, 132, 222, 329, 363, 364, 583, 587, 671, 816, 823, 848, 954, 2818, 7654, 9288, 9566, 9648, 9945, 9945, 9956, 9984, 10012, 10075, 10154, 10170, 10199, 10341, 50525, 50542, 50587, 50608, 50613, 50659, 50694, 50713, 50798, 50819, 50833, 51274, 52453, 53491, 54308, 67757, 67799 ]
3
[ 0, 9, 17, 7, 3, 47, 37, 12, 90, 107, 34, 1, 219, 4, 84, 145, 7, 25, 106, 1864, 4836, 1634, 278, 82, 297, 0, 11, 28, 28, 63, 79, 16, 29, 142, 40184, 17, 45, 21, 5, 46, 35, 19, 85, 21, 14, 441, 1179, 1038, 817, 13449, 42 ]
51
2,520
[ 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1 ]
[ 0, 27, 32, 59, 59, 63, 80, 147, 190, 199, 228, 241, 243, 295, 402, 415, 430, 448, 462, 552, 727, 822, 927, 997, 1175, 1242, 1378, 1442, 1445, 1561, 1681, 1712, 1774, 1788, 1843, 1973, 2128, 2314, 2351, 2411, 2478, 3173, 3394, 3398, 3516, 3557, 3595, 3597, 3852, 4678, 4872, 5007, 5386, 5436, 6244, 6330, 6403, 7143 ]
3
[ 0, 27, 5, 27, 0, 4, 17, 67, 43, 9, 29, 13, 2, 52, 107, 13, 15, 18, 14, 90, 175, 95, 105, 70, 178, 67, 136, 64, 3, 116, 120, 31, 62, 14, 55, 130, 155, 186, 37, 60, 67, 695, 221, 4, 118, 41, 38, 2, 255, 826, 194, 135, 379, 50, 808, 86, 73, 740 ]
58
2,521
[ 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 23, 26, 28, 35, 53, 54, 60, 62, 73, 120, 141, 172, 194, 195, 210, 248, 292, 304, 413, 426, 513, 525, 659, 704, 852, 909, 1304, 1589, 1637, 1847, 1952, 2940, 3178, 3227, 3365, 3865, 4777, 7155, 10001, 11453, 11762, 11882, 39120, 40232, 45630, 49663, 75885, 75902, 75994, 76052, 76121, 176783 ]
3
[ 0, 23, 3, 2, 7, 18, 1, 6, 2, 11, 47, 21, 31, 22, 1, 15, 38, 44, 12, 109, 13, 87, 12, 134, 45, 148, 57, 395, 285, 48, 210, 105, 988, 238, 49, 138, 500, 912, 2378, 2846, 1452, 309, 120, 27238, 1112, 5398, 4033, 26222, 17, 92, 58, 69, 100662 ]
53
2,522
[ 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5, 17, 22, 29, 39, 57, 57, 60, 61, 68, 72, 75, 78, 78, 80, 83, 84, 95, 95, 96, 100, 102, 119, 126, 127, 129, 144, 145, 148, 150, 152, 159, 163, 167, 170, 176, 186, 206, 212, 214, 217, 225, 232, 265, 282, 301, 303, 308, 311, 326, 338, 359, 375, 375, 380, 383, 387, 390, 401, 401, 425, 436, 454, 458, 465, 479, 511, 539, 542, 605, 612, 631, 632, 644, 667, 672, 679, 680, 704, 707, 769, 781, 792, 800, 815, 880, 883, 954, 1002, 1035, 1124, 1129, 1336, 1417, 1666, 1671, 1784, 1835, 1841, 1936, 1993, 2245, 2249, 2361, 2361, 2388, 2388, 2464, 2476, 2516, 2522, 2612, 2757, 3287, 3591, 3906, 4334, 4340, 5161, 5260, 5282, 5440, 5744, 5746, 5937, 6040, 6245, 6995, 7473, 10052, 10527, 10561, 10853, 11062, 12576, 12594, 15983, 16387, 16525, 16643, 20000, 21502, 21649, 22164, 22180, 22525, 22689, 24459, 24746, 25788, 26134, 26290, 67964, 80895, 92551, 92627, 104707, 108190, 108834, 222282, 265112, 287324, 322382, 448449 ]
3
[ 0, 5, 12, 5, 7, 10, 18, 0, 3, 1, 7, 4, 3, 3, 0, 2, 3, 1, 11, 0, 1, 4, 2, 17, 7, 1, 2, 15, 1, 3, 2, 2, 7, 4, 4, 3, 6, 10, 20, 6, 2, 3, 8, 7, 33, 17, 19, 2, 5, 3, 15, 12, 21, 16, 0, 5, 3, 4, 3, 11, 0, 24, 11, 18, 4, 7, 14, 32, 28, 3, 63, 7, 19, 1, 12, 23, 5, 7, 1, 24, 3, 62, 12, 11, 8, 15, 65, 3, 71, 48, 33, 89, 5, 207, 81, 249, 5, 113, 51, 6, 95, 57, 252, 4, 112, 0, 27, 0, 76, 12, 40, 6, 90, 145, 530, 304, 315, 428, 6, 821, 99, 22, 158, 304, 2, 191, 103, 205, 750, 478, 2579, 475, 34, 292, 209, 1514, 18, 3389, 404, 138, 118, 3357, 1502, 147, 515, 16, 345, 164, 1770, 287, 1042, 346, 156, 41674, 12931, 11656, 76, 12080, 3483, 644, 113448, 42830, 22212, 35058, 126067 ]
165
2,523
[ 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0 ]
[ 0, 12, 17, 27, 29, 43, 46, 46, 47, 47, 54, 68, 76, 77, 86, 115, 122, 128, 131, 165, 167, 167, 173, 175, 196, 202, 229, 241, 314, 324, 332, 435, 496, 516, 565, 599, 835, 1016, 1347, 2844, 2859, 2906, 3122, 3243, 3565, 3728, 3807, 3826, 3836, 4191, 4402, 4976, 12148, 16259, 20420, 40276, 42892, 49991, 54300, 62247, 62525, 71482, 71908, 77135, 100695, 100744, 100763, 100773, 100780, 100780, 100817, 100835, 100842, 100852, 100861, 100862, 100865, 100891, 100901, 100906, 100908, 100912, 100913, 100914, 100934, 100956, 100967, 100978, 100980, 100992, 101016, 101027, 101029, 101049, 101075, 101122, 101144, 101173, 101202, 101248, 101407, 101427, 101538, 101577, 101630, 101701, 101801, 101994, 102252, 102742, 102814, 102887, 103142, 103382, 109394, 135286, 140262, 141553, 153218, 252028 ]
3
[ 0, 12, 5, 10, 2, 14, 3, 0, 1, 0, 7, 14, 8, 1, 9, 29, 7, 6, 3, 34, 2, 0, 6, 2, 21, 6, 27, 12, 73, 10, 8, 103, 61, 20, 49, 34, 236, 181, 331, 1497, 15, 47, 216, 121, 322, 163, 79, 19, 10, 355, 211, 574, 7172, 4111, 4161, 19856, 2616, 7099, 4309, 7947, 278, 8957, 426, 5227, 23560, 49, 19, 10, 7, 0, 37, 18, 7, 10, 9, 1, 3, 26, 10, 5, 2, 4, 1, 1, 20, 22, 11, 11, 2, 12, 24, 11, 2, 20, 26, 47, 22, 29, 29, 46, 159, 20, 111, 39, 53, 71, 100, 193, 258, 490, 72, 73, 255, 240, 6012, 25892, 4976, 1291, 11665, 98810 ]
120
2,524
[ 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0 ]
[ 0, 2, 27, 31, 67, 119, 133, 139, 226, 240, 259, 269, 274, 277, 277, 327, 341, 380, 418, 439, 452, 464, 468, 540, 543, 630, 676, 743, 863, 917, 1206, 1489, 1532, 2126, 2198, 2347, 2550, 2862, 3032, 3097, 3521, 3804, 5437, 5518, 5932, 6058, 6191, 6331, 6465, 6470, 6518, 8669, 8845, 9626, 9679, 10000, 10596, 10720, 12177, 12385, 12800, 13437, 14049, 14609, 15511, 16111, 16958, 19218, 19341, 19479, 20155, 20448, 21612, 22165, 22636, 24271, 26339, 26837, 28900, 30751, 31287, 31899, 32544, 32909, 38031, 38878, 49124, 192593, 474162 ]
3
[ 0, 2, 25, 4, 36, 52, 14, 6, 87, 14, 19, 10, 5, 3, 0, 50, 14, 39, 38, 21, 13, 12, 4, 72, 3, 87, 46, 67, 120, 54, 289, 283, 43, 594, 72, 149, 203, 312, 170, 65, 424, 283, 1633, 81, 414, 126, 133, 140, 134, 5, 48, 2151, 176, 781, 53, 321, 596, 124, 1457, 208, 415, 637, 612, 560, 902, 600, 847, 2260, 123, 138, 676, 293, 1164, 553, 471, 1635, 2068, 498, 2063, 1851, 536, 612, 645, 365, 5122, 847, 10246, 143469, 281569 ]
89
2,525
[ 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1 ]
[ 0, 0, 1, 3, 4, 4, 5, 6, 8, 8, 8, 9, 9, 11, 13, 19, 19, 20, 21, 22, 26, 28, 31, 32, 32, 32, 33, 33, 34, 35, 36, 37, 38, 38, 41, 52, 53, 56, 58, 59, 59, 60, 61, 61, 63, 63, 63, 64, 65, 65, 66, 70, 70, 70, 71, 71, 73, 75, 76, 77, 84, 88, 89, 95, 96, 98, 104, 108, 109, 110, 116, 117, 121, 123, 126, 133, 134, 142, 142, 148, 150, 150, 152, 153, 167, 244, 282, 421, 895, 939 ]
3
[ 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 6, 0, 1, 1, 1, 4, 2, 3, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 3, 11, 1, 3, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 4, 0, 0, 1, 0, 2, 2, 1, 1, 7, 4, 1, 6, 1, 2, 6, 4, 1, 1, 6, 1, 4, 2, 3, 7, 1, 8, 0, 6, 2, 0, 2, 1, 14, 77, 38, 139, 474, 44 ]
90
2,526
[ 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1 ]
[ 0, 1, 2, 7, 10, 14, 18, 23, 28, 38, 38, 50, 70, 86, 91, 99, 104, 127, 128, 156, 166, 183, 191, 195, 288, 330, 338, 356, 368, 431, 463, 626, 633, 644, 646, 649, 649, 652, 692, 697, 702, 704, 746, 747, 751, 762, 764, 769, 772, 828, 869, 984, 1000, 1003, 1005, 1068, 1070, 1089, 1156, 1165, 1376, 1936, 2229, 2938, 3095, 3206, 4347, 5349, 8629, 9089, 11181, 20217, 20753, 22958, 27061, 322328 ]
3
[ 0, 1, 1, 5, 3, 4, 4, 5, 5, 10, 0, 12, 20, 16, 5, 8, 5, 23, 1, 28, 10, 17, 8, 4, 93, 42, 8, 18, 12, 63, 32, 163, 7, 11, 2, 3, 0, 3, 40, 5, 5, 2, 42, 1, 4, 11, 2, 5, 3, 56, 41, 115, 16, 3, 2, 63, 2, 19, 67, 9, 211, 560, 293, 709, 157, 111, 1141, 1002, 3280, 460, 2092, 9036, 536, 2205, 4103, 295267 ]
76
2,527
[ 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0 ]
[ 0, 6, 22, 25, 29, 32, 40, 51, 57, 57, 63, 69, 77, 93, 111, 123, 208, 231, 236, 335, 490, 501, 527, 540, 990, 1014, 1025, 1029, 1034, 1038, 1043, 1045, 1049, 1067, 1069, 1075, 1075, 1085, 1088, 1090, 1100, 1116, 1120, 1121, 1126, 1126, 1128, 1144, 1169, 1176, 1185, 1197, 1209, 1232, 1246, 1267, 1296, 1303, 1314, 1329, 1358, 1360, 1399, 1433, 1440, 1455, 1487, 1499, 1570, 1776, 1800, 1826, 1838, 1859, 1864, 1865, 1885, 1923, 1971, 2455, 3362, 3403, 64556, 65687, 65699, 65708, 65718, 65731, 65733, 65825, 65988, 65998, 66016, 66453, 66453, 72892, 75264, 75581, 76446, 84423, 89994, 91379, 148682, 148748, 148809, 154160, 171703 ]
3
[ 0, 6, 16, 3, 4, 3, 8, 11, 6, 0, 6, 6, 8, 16, 18, 12, 85, 23, 5, 99, 155, 11, 26, 13, 450, 24, 11, 4, 5, 4, 5, 2, 4, 18, 2, 6, 0, 10, 3, 2, 10, 16, 4, 1, 5, 0, 2, 16, 25, 7, 9, 12, 12, 23, 14, 21, 29, 7, 11, 15, 29, 2, 39, 34, 7, 15, 32, 12, 71, 206, 24, 26, 12, 21, 5, 1, 20, 38, 48, 484, 907, 41, 61153, 1131, 12, 9, 10, 13, 2, 92, 163, 10, 18, 437, 0, 6439, 2372, 317, 865, 7977, 5571, 1385, 57303, 66, 61, 5351, 17543 ]
107
2,528
[ 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0 ]
[ 0, 8, 11, 14, 18, 22, 25, 29, 29, 32, 52, 56, 89, 102, 109, 133, 136, 265, 277, 294, 347, 567, 691, 731, 851, 1207, 1906, 1961, 2064, 2222, 2272, 2281, 2567, 2612, 2620, 2825, 3111, 3133, 3158, 3190, 4096, 5917, 5917, 10467, 11093, 13106, 13639, 13667, 13707, 13720, 13724, 13726, 13742, 13747, 13794, 13810, 13843, 13858, 13867, 13952, 13993, 14024, 14056, 14300, 14585, 15608, 15855, 104269 ]
3
[ 0, 8, 3, 3, 4, 4, 3, 4, 0, 3, 20, 4, 33, 13, 7, 24, 3, 129, 12, 17, 53, 220, 124, 40, 120, 356, 699, 55, 103, 158, 50, 9, 286, 45, 8, 205, 286, 22, 25, 32, 906, 1821, 0, 4550, 626, 2013, 533, 28, 40, 13, 4, 2, 16, 5, 47, 16, 33, 15, 9, 85, 41, 31, 32, 244, 285, 1023, 247, 88414 ]
68
2,529
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1 ]
[ 0, 22, 47, 50, 64, 73, 78, 83, 87, 120, 125, 125, 130, 190, 195, 221, 232, 270, 287, 293, 299, 319, 320, 356, 371, 379, 381, 398, 465, 469, 475, 484, 516, 533, 551, 558, 615, 659, 664, 725, 739, 757, 800, 831, 930, 1085, 1096, 1130, 1156, 1363, 1577, 1620, 1688, 1732, 1894, 2006, 2169, 2204, 2549, 2565, 2797, 3025, 3035, 3279, 3773, 3918, 4202, 4250, 5566, 5633, 5728, 5816, 6112, 6493, 6623, 6643, 9643, 9851, 9931, 10351, 12415, 15292, 20830, 21122, 22270, 52729, 60635 ]
3
[ 0, 22, 25, 3, 14, 9, 5, 5, 4, 33, 5, 0, 5, 60, 5, 26, 11, 38, 17, 6, 6, 20, 1, 36, 15, 8, 2, 17, 67, 4, 6, 9, 32, 17, 18, 7, 57, 44, 5, 61, 14, 18, 43, 31, 99, 155, 11, 34, 26, 207, 214, 43, 68, 44, 162, 112, 163, 35, 345, 16, 232, 228, 10, 244, 494, 145, 284, 48, 1316, 67, 95, 88, 296, 381, 130, 20, 3000, 208, 80, 420, 2064, 2877, 5538, 292, 1148, 30459, 7906 ]
87
2,530
[ 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0 ]
[ 0, 14, 17, 21, 21, 25, 27, 31, 32, 35, 35, 44, 51, 61, 70, 95, 96, 105, 110, 117, 130, 131, 133, 138, 140, 165, 172, 178, 188, 188, 203, 233, 260, 273, 288, 316, 325, 356, 357, 362, 374, 397, 400, 407, 456, 503, 523, 523, 546, 551, 573, 574, 575, 586, 590, 591, 655, 663, 693, 757, 822, 907, 1000, 1023, 1135, 1169, 1169, 1192, 1353, 1372, 1383, 1397, 1398, 1402, 1474, 1477, 1573, 1639, 1642, 1672, 1709, 1713, 1719, 1759, 1812, 1840, 1872, 1899, 2004, 2014, 2037, 2087, 2087, 2236, 2247, 2282, 2461, 2652, 2658, 2679, 2714, 2792, 3010, 3079, 3171, 3535, 5061, 5412, 5586, 5770, 5973, 6553, 6598, 6633, 6715, 6807, 6909, 7132, 7182, 7572, 7845, 9069, 10047, 10103, 10179, 10397, 13387, 14564, 16149, 21094, 40835, 52457, 73081, 74278, 74313, 74330, 74572, 74658, 74704, 76061, 76096, 77734, 82496, 86769, 102280, 159052, 159675, 159964, 226531, 354697 ]
3
[ 0, 14, 3, 4, 0, 4, 2, 4, 1, 3, 0, 9, 7, 10, 9, 25, 1, 9, 5, 7, 13, 1, 2, 5, 2, 25, 7, 6, 10, 0, 15, 30, 27, 13, 15, 28, 9, 31, 1, 5, 12, 23, 3, 7, 49, 47, 20, 0, 23, 5, 22, 1, 1, 11, 4, 1, 64, 8, 30, 64, 65, 85, 93, 23, 112, 34, 0, 23, 161, 19, 11, 14, 1, 4, 72, 3, 96, 66, 3, 30, 37, 4, 6, 40, 53, 28, 32, 27, 105, 10, 23, 50, 0, 149, 11, 35, 179, 191, 6, 21, 35, 78, 218, 69, 92, 364, 1526, 351, 174, 184, 203, 580, 45, 35, 82, 92, 102, 223, 50, 390, 273, 1224, 978, 56, 76, 218, 2990, 1177, 1585, 4945, 19741, 11622, 20624, 1197, 35, 17, 242, 86, 46, 1357, 35, 1638, 4762, 4273, 15511, 56772, 623, 289, 66567, 128166 ]
150
2,531
[ 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 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, 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, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
[ 0, 2, 8, 15, 16, 16, 17, 17, 17, 25, 26, 27, 27, 28, 29, 31, 32, 35, 35, 38, 38, 39, 40, 41, 43, 45, 49, 51, 52, 53, 54, 55, 56, 58, 60, 62, 65, 68, 70, 74, 78, 85, 87, 87, 87, 97, 104, 108, 109, 109, 112, 116, 121, 126, 126, 132, 132, 138, 138, 142, 151, 152, 166, 171, 173, 174, 201, 204, 205, 205, 207, 217, 242, 263, 275, 287, 292, 292, 311, 316, 324, 327, 334, 336, 348, 360, 374, 402, 412, 414, 455, 466, 495, 523, 535, 539, 555, 559, 560, 573, 587, 703, 706, 732, 735, 749, 750, 781, 797, 806, 821, 842, 848, 860, 861, 986, 992, 1001, 1016, 1031, 1107, 1134, 1218, 1220, 1282, 1288, 1313, 1318, 1329, 1335, 1346, 1363, 1535, 1546, 1581, 1644, 1664, 1719, 1765, 1817, 1864, 1891, 1916, 1942, 1954, 1968, 2136, 2510, 2558, 2666, 2685, 2759, 2853, 2876, 2907, 2945, 3668, 4140, 4178, 4517, 5278, 7605, 9459, 9588, 9851, 13866, 15701, 18666, 19535, 22803, 28004, 30582, 34033, 34547, 35186, 92568, 100223, 101913, 105495, 276502 ]
3
[ 0, 2, 6, 7, 1, 0, 1, 0, 0, 8, 1, 1, 0, 1, 1, 2, 1, 3, 0, 3, 0, 1, 1, 1, 2, 2, 4, 2, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 2, 4, 4, 7, 2, 0, 0, 10, 7, 4, 1, 0, 3, 4, 5, 5, 0, 6, 0, 6, 0, 4, 9, 1, 14, 5, 2, 1, 27, 3, 1, 0, 2, 10, 25, 21, 12, 12, 5, 0, 19, 5, 8, 3, 7, 2, 12, 12, 14, 28, 10, 2, 41, 11, 29, 28, 12, 4, 16, 4, 1, 13, 14, 116, 3, 26, 3, 14, 1, 31, 16, 9, 15, 21, 6, 12, 1, 125, 6, 9, 15, 15, 76, 27, 84, 2, 62, 6, 25, 5, 11, 6, 11, 17, 172, 11, 35, 63, 20, 55, 46, 52, 47, 27, 25, 26, 12, 14, 168, 374, 48, 108, 19, 74, 94, 23, 31, 38, 723, 472, 38, 339, 761, 2327, 1854, 129, 263, 4015, 1835, 2965, 869, 3268, 5201, 2578, 3451, 514, 639, 57382, 7655, 1690, 3582, 171007 ]
180
2,532
[ 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0 ]
[ 0, 3, 9, 11, 17, 23, 37, 37, 43, 44, 46, 46, 50, 52, 64, 75, 75, 78, 83, 92, 95, 109, 125, 163, 164, 174, 197, 212, 268, 306, 333, 356, 377, 398, 454, 484, 488, 508, 508, 519, 594, 692, 728, 730, 1064, 1081, 1254, 1711, 1765, 2365, 2475, 2686, 3123, 4733, 11156, 11178, 11448, 11486, 11610, 11637, 11685, 23106, 29033, 64729, 87139 ]
3
[ 0, 3, 6, 2, 6, 6, 14, 0, 6, 1, 2, 0, 4, 2, 12, 11, 0, 3, 5, 9, 3, 14, 16, 38, 1, 10, 23, 15, 56, 38, 27, 23, 21, 21, 56, 30, 4, 20, 0, 11, 75, 98, 36, 2, 334, 17, 173, 457, 54, 600, 110, 211, 437, 1610, 6423, 22, 270, 38, 124, 27, 48, 11421, 5927, 35696, 22410 ]
65
2,533
[ 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1 ]
[ 0, 11997, 12104, 12312, 12435, 12570, 12682, 12683, 12970, 13063, 13126, 13226, 13261, 13371, 13373, 13595, 13833, 14012, 14188, 14199, 14251, 14293, 14395, 15688, 15960, 17316, 18108, 18391, 27224, 28257, 33968, 36503, 37042, 37611, 40958, 42430, 42493, 42554, 42647, 42659, 42716, 42820, 42935, 43357, 43452, 44100, 47900, 47955, 48250, 63652, 63773, 65450, 65852, 78480, 78560, 78669, 80177, 80543, 80705, 132497, 346241, 346356, 346441 ]
3
[ 0, 11997, 107, 208, 123, 135, 112, 1, 287, 93, 63, 100, 35, 110, 2, 222, 238, 179, 176, 11, 52, 42, 102, 1293, 272, 1356, 792, 283, 8833, 1033, 5711, 2535, 539, 569, 3347, 1472, 63, 61, 93, 12, 57, 104, 115, 422, 95, 648, 3800, 55, 295, 15402, 121, 1677, 402, 12628, 80, 109, 1508, 366, 162, 51792, 213744, 115, 85 ]
63
2,534
[ 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1 ]
[ 0, 5, 14, 14, 15, 16, 26, 29, 30, 31, 34, 35, 36, 38, 40, 49, 50, 50, 53, 57, 57, 58, 66, 68, 68, 69, 76, 78, 80, 82, 83, 83, 90, 95, 98, 99, 113, 117, 117, 124, 143, 151, 157, 162, 166, 171, 172, 176, 181, 190, 192, 192, 193, 212, 214, 222, 226, 241, 248, 257, 264, 276, 276, 281, 282, 286, 308, 332, 362, 385, 387, 397, 398, 399, 410, 418, 437, 438, 479, 480, 549, 554, 558, 580, 943, 1085, 1322, 1499, 1597, 1685, 2231, 2336, 3032, 3758, 3950, 4938, 9042, 36181, 53228, 58846, 67597, 71759, 74568, 75137, 75893, 81544, 82220 ]
3
[ 0, 5, 9, 0, 1, 1, 10, 3, 1, 1, 3, 1, 1, 2, 2, 9, 1, 0, 3, 4, 0, 1, 8, 2, 0, 1, 7, 2, 2, 2, 1, 0, 7, 5, 3, 1, 14, 4, 0, 7, 19, 8, 6, 5, 4, 5, 1, 4, 5, 9, 2, 0, 1, 19, 2, 8, 4, 15, 7, 9, 7, 12, 0, 5, 1, 4, 22, 24, 30, 23, 2, 10, 1, 1, 11, 8, 19, 1, 41, 1, 69, 5, 4, 22, 363, 142, 237, 177, 98, 88, 546, 105, 696, 726, 192, 988, 4104, 27139, 17047, 5618, 8751, 4162, 2809, 569, 756, 5651, 676 ]
107
2,535
[ 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1 ]
[ 0, 5, 6, 9, 10, 17, 31, 35, 40, 60, 74, 85, 93, 98, 101, 101, 102, 111, 124, 124, 126, 130, 146, 150, 154, 163, 164, 169, 184, 186, 189, 211, 215, 217, 219, 220, 224, 232, 239, 245, 246, 284, 302, 306, 318, 325, 330, 334, 345, 349, 370, 400, 409, 417, 421, 422, 433, 447, 480, 538, 580, 659, 684, 703, 732, 733, 815, 855, 943, 949, 992, 1056, 1069, 1073, 1122, 1136, 1158, 1272, 1293, 1294, 1326, 1435, 1488, 1557, 1664, 1701, 1704, 1708, 1828, 1925, 1962, 1986, 1995, 2104, 2127, 2162, 2223, 2348, 2351, 2357, 2453, 2453, 2489, 2590, 2594, 2671, 2726, 2763, 2779, 3044, 3201, 3208, 3350, 3525, 4085, 4110, 4311, 4387, 4440, 4484, 5239, 5381, 5392, 5503, 5568, 5684, 5707, 6344, 6393, 6726, 6945, 8598, 8714, 10348, 10619, 10967, 11759, 11769, 11975, 12443, 12858, 12881, 12997, 13013, 15569, 16956, 17036, 18371, 25675, 26437, 26537, 29383, 30325, 31489, 31779, 31848, 33466, 34492, 35083, 36463, 37529, 39577, 39669, 53023, 54998, 70047, 79061, 101945, 112257, 137672, 261371, 261405, 377537 ]
3
[ 0, 5, 1, 3, 1, 7, 14, 4, 5, 20, 14, 11, 8, 5, 3, 0, 1, 9, 13, 0, 2, 4, 16, 4, 4, 9, 1, 5, 15, 2, 3, 22, 4, 2, 2, 1, 4, 8, 7, 6, 1, 38, 18, 4, 12, 7, 5, 4, 11, 4, 21, 30, 9, 8, 4, 1, 11, 14, 33, 58, 42, 79, 25, 19, 29, 1, 82, 40, 88, 6, 43, 64, 13, 4, 49, 14, 22, 114, 21, 1, 32, 109, 53, 69, 107, 37, 3, 4, 120, 97, 37, 24, 9, 109, 23, 35, 61, 125, 3, 6, 96, 0, 36, 101, 4, 77, 55, 37, 16, 265, 157, 7, 142, 175, 560, 25, 201, 76, 53, 44, 755, 142, 11, 111, 65, 116, 23, 637, 49, 333, 219, 1653, 116, 1634, 271, 348, 792, 10, 206, 468, 415, 23, 116, 16, 2556, 1387, 80, 1335, 7304, 762, 100, 2846, 942, 1164, 290, 69, 1618, 1026, 591, 1380, 1066, 2048, 92, 13354, 1975, 15049, 9014, 22884, 10312, 25415, 123699, 34, 116132 ]
173
2,536
[ 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 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, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 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, 3, 4, 7, 9, 11, 14, 15, 16, 20, 24, 24, 25, 28, 29, 31, 35, 38, 61, 62, 64, 69, 72, 73, 73, 76, 84, 99, 100, 105, 105, 106, 107, 118, 122, 122, 123, 125, 130, 134, 138, 139, 143, 144, 153, 162, 176, 176, 177, 210, 215, 216, 220, 226, 227, 228, 229, 243, 250, 254, 255, 257, 265, 274, 278, 286, 299, 322, 389, 400, 400, 405, 439, 501, 520, 579, 590, 842, 843, 892, 975, 1057, 1177, 1356, 1375, 1423, 1474, 1507, 1638, 1778, 1799, 1859, 2009, 2079, 2313, 2673, 2685, 2689, 2921, 2963, 3268, 3408, 3718, 3922, 4214, 4239, 4245, 4274, 4335, 4644, 4687, 4833, 4946, 4972, 5005, 5036, 5136, 5285, 5387, 5396, 5667, 5704, 5706, 5790, 7755, 8345, 9634, 9700, 9720, 9829, 9911, 9996, 10572, 10588, 11867, 12650, 14591, 16332, 24551, 26067, 31769, 79190, 92867, 93062, 94699, 94790, 114924, 194343 ]
3
[ 0, 3, 1, 3, 2, 2, 3, 1, 1, 4, 4, 0, 1, 3, 1, 2, 4, 3, 23, 1, 2, 5, 3, 1, 0, 3, 8, 15, 1, 5, 0, 1, 1, 11, 4, 0, 1, 2, 5, 4, 4, 1, 4, 1, 9, 9, 14, 0, 1, 33, 5, 1, 4, 6, 1, 1, 1, 14, 7, 4, 1, 2, 8, 9, 4, 8, 13, 23, 67, 11, 0, 5, 34, 62, 19, 59, 11, 252, 1, 49, 83, 82, 120, 179, 19, 48, 51, 33, 131, 140, 21, 60, 150, 70, 234, 360, 12, 4, 232, 42, 305, 140, 310, 204, 292, 25, 6, 29, 61, 309, 43, 146, 113, 26, 33, 31, 100, 149, 102, 9, 271, 37, 2, 84, 1965, 590, 1289, 66, 20, 109, 82, 85, 576, 16, 1279, 783, 1941, 1741, 8219, 1516, 5702, 47421, 13677, 195, 1637, 91, 20134, 79419 ]
148
2,537
[ 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1 ]
[ 0, 4, 6, 6, 15, 17, 23, 23, 32, 34, 34, 34, 35, 35, 37, 41, 43, 45, 47, 48, 48, 51, 51, 52, 54, 58, 59, 59, 60, 62, 64, 65, 67, 67, 68, 68, 73, 73, 76, 82, 91, 93, 94, 95, 109, 113, 117, 126, 131, 136, 151, 154, 155, 163, 181, 190, 204, 213, 216, 218, 224, 234, 258, 258, 277, 290, 290, 316, 317, 320, 323, 348, 389, 396, 396, 412, 422, 429, 485, 502, 514, 516, 522, 570, 619, 653, 701, 732, 779, 808, 952, 991, 991, 1042, 1042, 1059, 1059, 1081, 1147, 1263, 1281, 1477, 1547, 1636, 1928, 1969, 1973, 2051, 2199, 2210, 2499, 2681, 2930, 2982, 3144, 3419, 3938, 4058, 4061, 4196, 4852, 5236, 5262, 6296, 6548, 7495, 7598, 8607, 9442, 9942, 10209, 10227, 12649, 21978, 41815, 66165, 86942, 97032, 130089 ]
3
[ 0, 4, 2, 0, 9, 2, 6, 0, 9, 2, 0, 0, 1, 0, 2, 4, 2, 2, 2, 1, 0, 3, 0, 1, 2, 4, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 5, 0, 3, 6, 9, 2, 1, 1, 14, 4, 4, 9, 5, 5, 15, 3, 1, 8, 18, 9, 14, 9, 3, 2, 6, 10, 24, 0, 19, 13, 0, 26, 1, 3, 3, 25, 41, 7, 0, 16, 10, 7, 56, 17, 12, 2, 6, 48, 49, 34, 48, 31, 47, 29, 144, 39, 0, 51, 0, 17, 0, 22, 66, 116, 18, 196, 70, 89, 292, 41, 4, 78, 148, 11, 289, 182, 249, 52, 162, 275, 519, 120, 3, 135, 656, 384, 26, 1034, 252, 947, 103, 1009, 835, 500, 267, 18, 2422, 9329, 19837, 24350, 20777, 10090, 33057 ]
139
2,538
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1 ]
[ 0, 2, 9, 19, 38, 40, 42, 43, 51, 52, 54, 55, 57, 64, 74, 102, 120, 120, 121, 142, 177, 179, 181, 247, 264, 292, 349, 434, 514, 586, 619, 624, 643, 674, 860, 1623, 2189, 2920, 4391, 4421, 4423, 4500, 4506, 4554, 6257, 6997, 7284, 8203, 9840, 31027, 169770 ]
3
[ 0, 2, 7, 10, 19, 2, 2, 1, 8, 1, 2, 1, 2, 7, 10, 28, 18, 0, 1, 21, 35, 2, 2, 66, 17, 28, 57, 85, 80, 72, 33, 5, 19, 31, 186, 763, 566, 731, 1471, 30, 2, 77, 6, 48, 1703, 740, 287, 919, 1637, 21187, 138743 ]
51
2,539
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1 ]
[ 0, 18, 34, 36, 47, 48, 54, 55, 61, 62, 62, 62, 70, 75, 87, 92, 94, 118, 123, 137, 158, 168, 192, 194, 196, 198, 206, 223, 237, 342, 354, 363, 450, 473, 514, 574, 627, 920, 1070, 1270, 1445, 2528, 3394, 4379, 5145, 5382, 6005, 6310, 8173, 9935, 12000, 17043, 33018, 33209, 64456, 85310, 86643, 92004, 104108, 104853, 104982, 105546, 105715, 107721, 110255, 272779, 273752, 281374, 283578 ]
3
[ 0, 18, 16, 2, 11, 1, 6, 1, 6, 1, 0, 0, 8, 5, 12, 5, 2, 24, 5, 14, 21, 10, 24, 2, 2, 2, 8, 17, 14, 105, 12, 9, 87, 23, 41, 60, 53, 293, 150, 200, 175, 1083, 866, 985, 766, 237, 623, 305, 1863, 1762, 2065, 5043, 15975, 191, 31247, 20854, 1333, 5361, 12104, 745, 129, 564, 169, 2006, 2534, 162524, 973, 7622, 2204 ]
69
2,540
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1 ]
[ 0, 3, 40, 45, 45, 49, 54, 59, 62, 65, 91, 109, 124, 127, 143, 146, 242, 256, 277, 303, 380, 386, 432, 438, 559, 575, 594, 604, 650, 706, 764, 950, 969, 1089, 1108, 1283, 1367, 1399, 1414, 1529, 1540, 1868, 1909, 1991, 2509, 2796, 2833, 3206, 3351, 3429, 3540, 3801, 4438, 5542, 5769, 6053, 6841, 6986, 7541, 8419, 9214, 10523, 18619, 18673, 18702, 18746, 18791, 18801, 18803, 18931, 18960, 19113, 19157, 19181, 19208, 19264, 19311, 19797, 21604, 21947, 22037, 22416, 23241, 29165, 32751, 38607, 84377, 116755, 165777, 168571, 187954, 347534, 415103, 454347 ]
3
[ 0, 3, 37, 5, 0, 4, 5, 5, 3, 3, 26, 18, 15, 3, 16, 3, 96, 14, 21, 26, 77, 6, 46, 6, 121, 16, 19, 10, 46, 56, 58, 186, 19, 120, 19, 175, 84, 32, 15, 115, 11, 328, 41, 82, 518, 287, 37, 373, 145, 78, 111, 261, 637, 1104, 227, 284, 788, 145, 555, 878, 795, 1309, 8096, 54, 29, 44, 45, 10, 2, 128, 29, 153, 44, 24, 27, 56, 47, 486, 1807, 343, 90, 379, 825, 5924, 3586, 5856, 45770, 32378, 49022, 2794, 19383, 159580, 67569, 39244 ]
94
2,541
[ 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 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, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0 ]
[ 0, 2, 5, 9, 10, 11, 14, 17, 17, 17, 18, 20, 21, 23, 23, 26, 26, 27, 27, 29, 35, 36, 38, 39, 39, 40, 41, 48, 52, 56, 57, 58, 59, 63, 63, 66, 77, 77, 81, 82, 83, 94, 94, 96, 104, 112, 122, 124, 125, 127, 128, 129, 135, 144, 147, 150, 153, 156, 159, 163, 168, 168, 174, 176, 178, 189, 195, 202, 205, 205, 211, 213, 221, 231, 235, 240, 242, 243, 243, 245, 251, 261, 272, 278, 293, 296, 303, 308, 309, 316, 319, 324, 328, 337, 339, 347, 369, 379, 383, 385, 419, 432, 448, 449, 456, 470, 472, 473, 486, 495, 514, 531, 532, 534, 553, 554, 578, 584, 622, 633, 686, 689, 701, 723, 745, 763, 767, 798, 835, 838, 852, 872, 902, 910, 979, 1041, 1058, 1160, 1219, 1271, 1300, 1322, 1366, 1377, 1383, 1383, 1413, 1441, 1471, 1585, 1598, 1633, 1672, 1672, 1729, 1732, 1815, 1821, 1839, 1875, 1901, 1912, 1942, 1989, 2047, 2208, 2280, 2297, 2348, 2402, 2577, 2913, 3102, 3332, 3391, 3499, 3540, 3639, 4040, 4277, 4282, 4582, 4595, 4610, 4655, 4695, 5321, 5370, 5621, 5761, 5786, 6495, 6538, 7510, 7686, 8072, 8105, 8563, 9587, 9860, 10336, 10785, 10995, 11261, 11341, 11341, 11347, 11347, 12859, 13689, 14412, 15392, 15427, 16091, 18251, 27198, 47998, 50959, 55628, 55628, 58659, 72191, 287567 ]
3
[ 0, 2, 3, 4, 1, 1, 3, 3, 0, 0, 1, 2, 1, 2, 0, 3, 0, 1, 0, 2, 6, 1, 2, 1, 0, 1, 1, 7, 4, 4, 1, 1, 1, 4, 0, 3, 11, 0, 4, 1, 1, 11, 0, 2, 8, 8, 10, 2, 1, 2, 1, 1, 6, 9, 3, 3, 3, 3, 3, 4, 5, 0, 6, 2, 2, 11, 6, 7, 3, 0, 6, 2, 8, 10, 4, 5, 2, 1, 0, 2, 6, 10, 11, 6, 15, 3, 7, 5, 1, 7, 3, 5, 4, 9, 2, 8, 22, 10, 4, 2, 34, 13, 16, 1, 7, 14, 2, 1, 13, 9, 19, 17, 1, 2, 19, 1, 24, 6, 38, 11, 53, 3, 12, 22, 22, 18, 4, 31, 37, 3, 14, 20, 30, 8, 69, 62, 17, 102, 59, 52, 29, 22, 44, 11, 6, 0, 30, 28, 30, 114, 13, 35, 39, 0, 57, 3, 83, 6, 18, 36, 26, 11, 30, 47, 58, 161, 72, 17, 51, 54, 175, 336, 189, 230, 59, 108, 41, 99, 401, 237, 5, 300, 13, 15, 45, 40, 626, 49, 251, 140, 25, 709, 43, 972, 176, 386, 33, 458, 1024, 273, 476, 449, 210, 266, 80, 0, 6, 0, 1512, 830, 723, 980, 35, 664, 2160, 8947, 20800, 2961, 4669, 0, 3031, 13532, 215376 ]
223
2,542
[ 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0 ]
[ 0, 16, 17, 18, 19, 33, 35, 40, 45, 51, 59, 60, 65, 76, 81, 84, 116, 120, 122, 124, 125, 130, 145, 158, 173, 179, 191, 199, 208, 217, 217, 226, 236, 237, 334, 496, 514, 522, 542, 549, 666, 684, 688, 759, 766, 806, 1708, 1948, 2097, 2141, 3705, 450450 ]
3
[ 0, 16, 1, 1, 1, 14, 2, 5, 5, 6, 8, 1, 5, 11, 5, 3, 32, 4, 2, 2, 1, 5, 15, 13, 15, 6, 12, 8, 9, 9, 0, 9, 10, 1, 97, 162, 18, 8, 20, 7, 117, 18, 4, 71, 7, 40, 902, 240, 149, 44, 1564, 446745 ]
52
2,543
[ 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1 ]
[ 0, 3, 15, 19, 33, 34, 38, 43, 50, 50, 56, 57, 58, 71, 75, 82, 101, 129, 130, 138, 155, 164, 166, 170, 179, 212, 228, 270, 299, 351, 383, 514, 534, 540, 547, 640, 690, 732, 732, 792, 809, 836, 891, 898, 1018, 1063, 1157, 1183, 1679, 1716, 1927, 1935, 1956, 2013, 2172, 2245, 2273, 2378, 2606, 2666, 2823, 2943, 3339, 3356, 3668, 3688, 4233, 4246, 4454, 4813, 5019, 5040, 5276, 5369, 5403, 5423, 5512, 5623, 5704, 6453, 6899, 6953, 7159, 7710, 7710, 7739, 7911, 8007, 8302, 8413, 8499, 8588, 8601, 8701, 8755, 9623, 10635, 10691, 11520, 11901, 13006, 14189, 15645, 15666, 16394, 16665, 16728, 18787, 20701, 20956, 22627, 23081, 23813, 24196, 27408, 28319, 29845, 30733, 33310, 35392, 37491, 37919, 39029, 41299, 44910, 47380, 50508, 54240, 54913, 58956, 63135, 67466, 71160, 73593, 93487, 109009, 125181, 126298, 315032 ]
3
[ 0, 3, 12, 4, 14, 1, 4, 5, 7, 0, 6, 1, 1, 13, 4, 7, 19, 28, 1, 8, 17, 9, 2, 4, 9, 33, 16, 42, 29, 52, 32, 131, 20, 6, 7, 93, 50, 42, 0, 60, 17, 27, 55, 7, 120, 45, 94, 26, 496, 37, 211, 8, 21, 57, 159, 73, 28, 105, 228, 60, 157, 120, 396, 17, 312, 20, 545, 13, 208, 359, 206, 21, 236, 93, 34, 20, 89, 111, 81, 749, 446, 54, 206, 551, 0, 29, 172, 96, 295, 111, 86, 89, 13, 100, 54, 868, 1012, 56, 829, 381, 1105, 1183, 1456, 21, 728, 271, 63, 2059, 1914, 255, 1671, 454, 732, 383, 3212, 911, 1526, 888, 2577, 2082, 2099, 428, 1110, 2270, 3611, 2470, 3128, 3732, 673, 4043, 4179, 4331, 3694, 2433, 19894, 15522, 16172, 1117, 188734 ]
139
2,544
[ 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0 ]
[ 0, 1, 52, 59, 60, 68, 79, 93, 103, 111, 121, 131, 139, 143, 149, 189, 189, 218, 230, 269, 304, 315, 327, 378, 379, 531, 555, 898, 1185, 1269, 1459, 1483, 1539, 1584, 1713, 1856, 1913, 2100, 2294, 2451, 3543, 3784, 3995, 4129, 4158, 4167, 4246, 4272, 4277, 4618, 5397, 5500, 5788, 6344, 8274, 8492, 8768, 11240, 14505, 15712, 17553, 29853, 44294, 52260 ]
3
[ 0, 1, 51, 7, 1, 8, 11, 14, 10, 8, 10, 10, 8, 4, 6, 40, 0, 29, 12, 39, 35, 11, 12, 51, 1, 152, 24, 343, 287, 84, 190, 24, 56, 45, 129, 143, 57, 187, 194, 157, 1092, 241, 211, 134, 29, 9, 79, 26, 5, 341, 779, 103, 288, 556, 1930, 218, 276, 2472, 3265, 1207, 1841, 12300, 14441, 7966 ]
64
2,545
[ 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
[ 0, 0, 12, 13, 13, 13, 14, 18, 18, 20, 21, 22, 25, 26, 27, 33, 34, 36, 37, 39, 41, 42, 47, 51, 57, 64, 65, 66, 69, 70, 77, 81, 94, 99, 102, 110, 111, 116, 119, 128, 128, 130, 212, 212, 215, 220, 232, 232, 234, 243, 247, 251, 260, 262, 262, 276, 281, 293, 347, 392, 398, 437, 458, 538, 542, 557, 568, 581, 585, 619, 650, 723, 732, 750, 757, 770, 796, 812, 836, 914, 927, 932, 933, 945, 984, 1013, 1171, 1260, 1349, 1371, 1397, 1483, 1522, 1570, 1590, 1722, 1781, 2433, 2486, 2701, 2851, 3126, 3513, 3570, 3757, 4579, 4796, 4920, 5013, 7966, 8101, 11506, 13236, 16578, 18344, 18460, 30519, 46759, 54194, 61139, 76921, 76946, 76964, 77002, 77008, 77014, 77074, 77078, 77099, 77100, 77101, 77113, 78521, 79601, 81069, 83286, 84607, 86950, 174536, 177726, 418698, 421629, 470316, 508129, 512996 ]
3
[ 0, 0, 12, 1, 0, 0, 1, 4, 0, 2, 1, 1, 3, 1, 1, 6, 1, 2, 1, 2, 2, 1, 5, 4, 6, 7, 1, 1, 3, 1, 7, 4, 13, 5, 3, 8, 1, 5, 3, 9, 0, 2, 82, 0, 3, 5, 12, 0, 2, 9, 4, 4, 9, 2, 0, 14, 5, 12, 54, 45, 6, 39, 21, 80, 4, 15, 11, 13, 4, 34, 31, 73, 9, 18, 7, 13, 26, 16, 24, 78, 13, 5, 1, 12, 39, 29, 158, 89, 89, 22, 26, 86, 39, 48, 20, 132, 59, 652, 53, 215, 150, 275, 387, 57, 187, 822, 217, 124, 93, 2953, 135, 3405, 1730, 3342, 1766, 116, 12059, 16240, 7435, 6945, 15782, 25, 18, 38, 6, 6, 60, 4, 21, 1, 1, 12, 1408, 1080, 1468, 2217, 1321, 2343, 87586, 3190, 240972, 2931, 48687, 37813, 4867 ]
145
2,546
[ 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 ]
[ 0, 10, 11, 20, 20, 22, 23, 26, 31, 31, 33, 37, 38, 39, 39, 40, 40, 41, 58, 58, 59, 60, 63, 70, 89, 90, 92, 94, 101, 113, 118, 123, 131, 142, 148, 152, 181, 211, 220, 222, 283, 375, 468, 570, 613, 672, 689, 706, 728, 854, 996, 1018, 1342, 1499, 1696, 1780, 2391, 2756, 4000, 9486, 10897, 14984 ]
3
[ 0, 10, 1, 9, 0, 2, 1, 3, 5, 0, 2, 4, 1, 1, 0, 1, 0, 1, 17, 0, 1, 1, 3, 7, 19, 1, 2, 2, 7, 12, 5, 5, 8, 11, 6, 4, 29, 30, 9, 2, 61, 92, 93, 102, 43, 59, 17, 17, 22, 126, 142, 22, 324, 157, 197, 84, 611, 365, 1244, 5486, 1411, 4087 ]
62
2,547
[ 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
[ 0, 5, 24, 26, 27, 30, 32, 41, 44, 44, 44, 50, 51, 60, 64, 67, 68, 68, 69, 70, 71, 72, 82, 84, 87, 97, 98, 99, 114, 115, 133, 141, 146, 147, 147, 148, 151, 178, 201, 202, 206, 208, 209, 210, 214, 240, 254, 261, 267, 269, 273, 276, 287, 316, 332, 366, 368, 376, 388, 394, 398, 401, 406, 419, 429, 430, 469, 482, 511, 520, 541, 559, 596, 629, 637, 638, 650, 651, 673, 713, 732, 804, 819, 831, 837, 863, 897, 906, 935, 942, 1001, 1037, 1093, 1234, 1267, 1289, 1380, 1489, 1535, 1703, 1779, 1805, 1870, 1887, 2056, 2121, 2187, 2283, 2402, 2446, 2587, 2683, 2757, 2768, 2843, 2983, 3242, 3579, 3661, 3744, 3861, 4268, 4284, 4294, 4378, 4430, 4864, 5148, 5347, 5417, 5615, 5646, 5739, 5856, 6005, 6011, 6114, 6184, 6232, 6235, 6340, 6550, 6567, 6795, 6812, 6958, 6965, 7222, 7364, 7439, 8307, 8322, 8414, 8479, 8569, 8646, 8986, 9314, 9388, 9531, 9900, 10171, 10433, 10434, 10738, 22343, 23150, 25016, 25681, 27925, 28417, 30800, 32301, 37788, 41984, 43125, 43473, 44361, 49932, 56190, 71846, 76226, 78348, 80693, 88016, 92974, 104118, 115704, 132564, 132564, 214884, 357105, 379155 ]
3
[ 0, 5, 19, 2, 1, 3, 2, 9, 3, 0, 0, 6, 1, 9, 4, 3, 1, 0, 1, 1, 1, 1, 10, 2, 3, 10, 1, 1, 15, 1, 18, 8, 5, 1, 0, 1, 3, 27, 23, 1, 4, 2, 1, 1, 4, 26, 14, 7, 6, 2, 4, 3, 11, 29, 16, 34, 2, 8, 12, 6, 4, 3, 5, 13, 10, 1, 39, 13, 29, 9, 21, 18, 37, 33, 8, 1, 12, 1, 22, 40, 19, 72, 15, 12, 6, 26, 34, 9, 29, 7, 59, 36, 56, 141, 33, 22, 91, 109, 46, 168, 76, 26, 65, 17, 169, 65, 66, 96, 119, 44, 141, 96, 74, 11, 75, 140, 259, 337, 82, 83, 117, 407, 16, 10, 84, 52, 434, 284, 199, 70, 198, 31, 93, 117, 149, 6, 103, 70, 48, 3, 105, 210, 17, 228, 17, 146, 7, 257, 142, 75, 868, 15, 92, 65, 90, 77, 340, 328, 74, 143, 369, 271, 262, 1, 304, 11605, 807, 1866, 665, 2244, 492, 2383, 1501, 5487, 4196, 1141, 348, 888, 5571, 6258, 15656, 4380, 2122, 2345, 7323, 4958, 11144, 11586, 16860, 0, 82320, 142221, 22050 ]
193
2,548
[ 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0 ]
[ 0, 6, 44, 47, 67, 91, 110, 138, 139, 188, 223, 302, 520, 713, 784, 821, 824, 1074, 1101, 1158, 1262, 2013, 3005, 3254, 3577, 4291, 4301, 5341, 5809, 6865, 6981, 7227, 7494, 7789, 8225, 8773, 8902, 10838, 11924, 12428, 13276, 13815, 13972, 13984, 16102, 17003, 17783, 19166, 21837, 22601, 25850, 27700, 27722, 28293, 31624, 33093, 47787, 60321, 103365, 150338 ]
3
[ 0, 6, 38, 3, 20, 24, 19, 28, 1, 49, 35, 79, 218, 193, 71, 37, 3, 250, 27, 57, 104, 751, 992, 249, 323, 714, 10, 1040, 468, 1056, 116, 246, 267, 295, 436, 548, 129, 1936, 1086, 504, 848, 539, 157, 12, 2118, 901, 780, 1383, 2671, 764, 3249, 1850, 22, 571, 3331, 1469, 14694, 12534, 43044, 46973 ]
60
2,549
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0 ]
[ 0, 29, 30, 57, 74, 84, 92, 99, 144, 196, 212, 246, 265, 279, 280, 289, 309, 379, 403, 430, 473, 486, 501, 676, 734, 747, 830, 943, 1014, 1065, 1193, 1198, 1396, 1521, 1789, 1925, 2348, 2429, 2476, 2959, 2973, 3183, 3229, 3295, 3333, 3434, 3611, 3695, 3922, 3987, 4057, 4085, 4425, 4670, 4682, 4702, 4749, 4982, 5007, 5224, 6170, 6611, 6826, 7511, 7670, 7690, 8116, 8223, 8583, 9138, 11072, 11203, 13337, 13450, 14471, 14806, 14868, 15390, 17889, 18471, 19741, 29671, 29888, 31241, 32370, 46761, 49167, 56805, 104725, 111778, 137358, 146101, 165813, 177725, 261462, 301450, 379350, 559534 ]
3
[ 0, 29, 1, 27, 17, 10, 8, 7, 45, 52, 16, 34, 19, 14, 1, 9, 20, 70, 24, 27, 43, 13, 15, 175, 58, 13, 83, 113, 71, 51, 128, 5, 198, 125, 268, 136, 423, 81, 47, 483, 14, 210, 46, 66, 38, 101, 177, 84, 227, 65, 70, 28, 340, 245, 12, 20, 47, 233, 25, 217, 946, 441, 215, 685, 159, 20, 426, 107, 360, 555, 1934, 131, 2134, 113, 1021, 335, 62, 522, 2499, 582, 1270, 9930, 217, 1353, 1129, 14391, 2406, 7638, 47920, 7053, 25580, 8743, 19712, 11912, 83737, 39988, 77900, 180184 ]
98
2,550
[ 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 48, 59, 163, 180, 192, 273, 356, 536, 657, 680, 809, 1107, 1177, 1177, 1253, 1279, 1608, 1631, 1749, 1915, 1967, 2061, 2119, 2208, 2287, 2354, 2378, 2456, 2723, 2773, 3025, 3226, 3508, 4053, 4807, 5274, 5784, 6147, 7104, 7692, 8470, 12957, 13796, 20412, 21553, 29105, 38514, 53689, 55397, 236958 ]
3
[ 0, 48, 11, 104, 17, 12, 81, 83, 180, 121, 23, 129, 298, 70, 0, 76, 26, 329, 23, 118, 166, 52, 94, 58, 89, 79, 67, 24, 78, 267, 50, 252, 201, 282, 545, 754, 467, 510, 363, 957, 588, 778, 4487, 839, 6616, 1141, 7552, 9409, 15175, 1708, 181561 ]
51
2,551
[ 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 12, 21, 39, 47, 48, 61, 65, 70, 74, 86, 99, 104, 113, 117, 131, 139, 148, 162, 170, 210, 212, 216, 226, 234, 261, 288, 292, 301, 304, 394, 423, 441, 444, 446, 467, 487, 500, 588, 595, 600, 727, 776, 810, 819, 842, 847, 852, 898, 1130, 1130, 1237, 1279, 1337, 1449, 1449, 1481, 1489, 1520, 1539, 1713, 1794, 1954, 2135, 2139, 2360, 2390, 2468, 2527, 2669, 2741, 2781, 2789, 3028, 4394, 5055, 6237, 6701, 7254, 7797, 10718, 11136, 11426, 12170, 23406, 23768, 38516, 40557, 49333, 74147, 334851 ]
3
[ 0, 12, 9, 18, 8, 1, 13, 4, 5, 4, 12, 13, 5, 9, 4, 14, 8, 9, 14, 8, 40, 2, 4, 10, 8, 27, 27, 4, 9, 3, 90, 29, 18, 3, 2, 21, 20, 13, 88, 7, 5, 127, 49, 34, 9, 23, 5, 5, 46, 232, 0, 107, 42, 58, 112, 0, 32, 8, 31, 19, 174, 81, 160, 181, 4, 221, 30, 78, 59, 142, 72, 40, 8, 239, 1366, 661, 1182, 464, 553, 543, 2921, 418, 290, 744, 11236, 362, 14748, 2041, 8776, 24814, 260704 ]
91
2,552
[ 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0 ]
[ 0, 3, 17, 18, 18, 20, 21, 29, 33, 39, 61, 73, 81, 86, 87, 88, 92, 104, 107, 114, 116, 122, 126, 129, 169, 183, 185, 189, 199, 210, 221, 234, 235, 237, 246, 248, 258, 265, 275, 279, 328, 361, 371, 380, 411, 445, 453, 485, 511, 517, 655, 682, 697, 716, 801, 807, 815, 876, 877, 943, 985, 1081, 1125, 1352, 1505, 1598, 1689, 1734, 1755, 1969, 2257, 2508, 2741, 2913, 3080, 3316, 4606, 6777, 8077, 8077, 10909, 10987, 11885, 13575, 31179, 54113, 54363, 57941, 61200, 64170, 69866, 72104, 80266, 83864 ]
3
[ 0, 3, 14, 1, 0, 2, 1, 8, 4, 6, 22, 12, 8, 5, 1, 1, 4, 12, 3, 7, 2, 6, 4, 3, 40, 14, 2, 4, 10, 11, 11, 13, 1, 2, 9, 2, 10, 7, 10, 4, 49, 33, 10, 9, 31, 34, 8, 32, 26, 6, 138, 27, 15, 19, 85, 6, 8, 61, 1, 66, 42, 96, 44, 227, 153, 93, 91, 45, 21, 214, 288, 251, 233, 172, 167, 236, 1290, 2171, 1300, 0, 2832, 78, 898, 1690, 17604, 22934, 250, 3578, 3259, 2970, 5696, 2238, 8162, 3598 ]
94
2,553
[ 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1 ]
[ 0, 13, 19, 24, 25, 40, 46, 47, 56, 64, 70, 82, 92, 102, 102, 108, 108, 111, 133, 135, 148, 152, 156, 170, 191, 199, 227, 230, 268, 269, 273, 299, 331, 343, 396, 418, 434, 512, 565, 582, 607, 692, 728, 764, 797, 832, 877, 913, 947, 1046, 1180, 1206, 1356, 1383, 1468, 1810, 1813, 1946, 2218, 2261, 2408, 2822, 3095, 3095, 3149, 3155, 3272, 3554, 3600, 4401, 5585, 6293, 6563, 12011, 18514, 18938, 19193, 20198, 20961, 38962, 41395, 41593, 42757, 44169, 44186, 44256, 44491, 44623, 45059, 45305, 47890, 48093, 48859, 52710, 53015, 55115, 56259, 57560, 61689, 68284, 72866, 77148, 77193, 80472, 82026, 82090, 101854, 141267, 167700, 176641, 330892, 391680, 518589 ]
3
[ 0, 13, 6, 5, 1, 15, 6, 1, 9, 8, 6, 12, 10, 10, 0, 6, 0, 3, 22, 2, 13, 4, 4, 14, 21, 8, 28, 3, 38, 1, 4, 26, 32, 12, 53, 22, 16, 78, 53, 17, 25, 85, 36, 36, 33, 35, 45, 36, 34, 99, 134, 26, 150, 27, 85, 342, 3, 133, 272, 43, 147, 414, 273, 0, 54, 6, 117, 282, 46, 801, 1184, 708, 270, 5448, 6503, 424, 255, 1005, 763, 18001, 2433, 198, 1164, 1412, 17, 70, 235, 132, 436, 246, 2585, 203, 766, 3851, 305, 2100, 1144, 1301, 4129, 6595, 4582, 4282, 45, 3279, 1554, 64, 19764, 39413, 26433, 8941, 154251, 60788, 126909 ]
113
2,554
[ 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1 ]
[ 0, 8, 26, 33, 43, 58, 85, 101, 117, 118, 167, 184, 217, 233, 237, 239, 275, 294, 295, 371, 383, 423, 474, 611, 657, 706, 981, 1041, 1065, 1513, 1556, 2487, 2935, 3024, 3184, 3904, 4224, 7282, 8661, 9407, 10517, 13187, 15230, 17110, 21731, 31371, 31918, 32479, 33147, 34290, 51830, 54546, 85523, 85892, 148118 ]
3
[ 0, 8, 18, 7, 10, 15, 27, 16, 16, 1, 49, 17, 33, 16, 4, 2, 36, 19, 1, 76, 12, 40, 51, 137, 46, 49, 275, 60, 24, 448, 43, 931, 448, 89, 160, 720, 320, 3058, 1379, 746, 1110, 2670, 2043, 1880, 4621, 9640, 547, 561, 668, 1143, 17540, 2716, 30977, 369, 62226 ]
55
2,555
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1 ]
[ 0, 10, 13, 17, 28, 29, 35, 47, 58, 61, 61, 66, 71, 80, 108, 131, 135, 137, 138, 157, 171, 251, 264, 272, 292, 390, 426, 541, 676, 760, 824, 850, 1070, 1356, 2380, 2424, 2655, 3104, 3750, 6986, 7126, 10225, 18962, 19082, 22060, 22663, 25260, 25303, 27519, 29592, 29597, 30209, 34648, 37089, 37361, 38864, 38957, 40753, 41210, 43885, 44012, 69904, 70708, 127830, 128254, 128286, 189055, 194790, 200679, 205260, 211992 ]
3
[ 0, 10, 3, 4, 11, 1, 6, 12, 11, 3, 0, 5, 5, 9, 28, 23, 4, 2, 1, 19, 14, 80, 13, 8, 20, 98, 36, 115, 135, 84, 64, 26, 220, 286, 1024, 44, 231, 449, 646, 3236, 140, 3099, 8737, 120, 2978, 603, 2597, 43, 2216, 2073, 5, 612, 4439, 2441, 272, 1503, 93, 1796, 457, 2675, 127, 25892, 804, 57122, 424, 32, 60769, 5735, 5889, 4581, 6732 ]
71
2,556
[ 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0 ]
[ 0, 157, 226, 304, 2065, 2182, 2197, 2282, 2310, 2315, 2338, 2444, 2619, 2648, 2832, 3326, 3366, 3474, 3530, 3635, 3649, 3698, 4401, 4727, 4807, 4899, 5098, 5177, 5200, 5645, 5667, 5824, 6302, 7027, 7164, 7823, 9189, 10326, 10994, 11687, 12144, 13306, 16351, 16363, 16647, 18369, 22860, 23618, 23899, 27057, 27660, 29414, 31813, 41118, 51984, 191250, 238653 ]
3
[ 0, 157, 69, 78, 1761, 117, 15, 85, 28, 5, 23, 106, 175, 29, 184, 494, 40, 108, 56, 105, 14, 49, 703, 326, 80, 92, 199, 79, 23, 445, 22, 157, 478, 725, 137, 659, 1366, 1137, 668, 693, 457, 1162, 3045, 12, 284, 1722, 4491, 758, 281, 3158, 603, 1754, 2399, 9305, 10866, 139266, 47403 ]
57
2,557
[ 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0 ]
[ 0, 9, 23, 33, 37, 40, 40, 48, 48, 51, 54, 58, 59, 60, 61, 70, 72, 74, 81, 82, 82, 90, 95, 95, 125, 125, 140, 179, 185, 209, 216, 218, 232, 245, 259, 262, 295, 297, 314, 315, 320, 344, 351, 366, 367, 383, 398, 425, 439, 448, 480, 543, 570, 579, 628, 661, 674, 697, 819, 886, 929, 972, 1085, 1234, 1342, 1880, 2103, 2283, 2365, 2382, 2610, 3814, 4040, 4678, 4817, 5632, 7540, 7950, 9641, 10173, 12133, 15545, 26922 ]
3
[ 0, 9, 14, 10, 4, 3, 0, 8, 0, 3, 3, 4, 1, 1, 1, 9, 2, 2, 7, 1, 0, 8, 5, 0, 30, 0, 15, 39, 6, 24, 7, 2, 14, 13, 14, 3, 33, 2, 17, 1, 5, 24, 7, 15, 1, 16, 15, 27, 14, 9, 32, 63, 27, 9, 49, 33, 13, 23, 122, 67, 43, 43, 113, 149, 108, 538, 223, 180, 82, 17, 228, 1204, 226, 638, 139, 815, 1908, 410, 1691, 532, 1960, 3412, 11377 ]
83
2,558
[ 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 4, 15, 24, 37, 41, 42, 51, 53, 58, 61, 65, 72, 78, 84, 93, 95, 95, 111, 117, 121, 126, 139, 140, 145, 147, 152, 154, 158, 170, 175, 181, 196, 200, 205, 211, 211, 223, 246, 247, 248, 249, 263, 263, 304, 307, 313, 322, 333, 335, 382, 397, 397, 422, 431, 444, 455, 478, 479, 561, 653, 717, 737, 742, 742, 750, 767, 799, 809, 823, 826, 827, 866, 893, 914, 940, 953, 966, 1015, 1069, 1119, 1136, 1178, 1295, 1310, 1406, 1407, 1413, 1423, 1445, 1542, 1720, 1732, 1815, 1900, 1922, 1924, 1977, 2014, 2037, 2038, 2123, 2140, 2308, 2370, 2384, 2522, 2535, 2604, 2619, 2655, 2747, 2768, 2801, 2827, 3156, 3243, 3385, 3440, 3786, 3809, 3841, 4015, 4024, 4074, 4262, 4391, 4520, 4653, 5061, 5521, 5832, 6651, 6950, 7137, 10054, 10304, 10700, 10836, 11517, 11687, 11760, 11817, 11962, 12087, 13144, 13184, 14726, 15032, 15179, 15627, 16355, 16484, 18369, 22409, 22699, 23296, 27920, 30628, 32813, 39509, 71258, 73865, 85617, 248547 ]
3
[ 0, 4, 11, 9, 13, 4, 1, 9, 2, 5, 3, 4, 7, 6, 6, 9, 2, 0, 16, 6, 4, 5, 13, 1, 5, 2, 5, 2, 4, 12, 5, 6, 15, 4, 5, 6, 0, 12, 23, 1, 1, 1, 14, 0, 41, 3, 6, 9, 11, 2, 47, 15, 0, 25, 9, 13, 11, 23, 1, 82, 92, 64, 20, 5, 0, 8, 17, 32, 10, 14, 3, 1, 39, 27, 21, 26, 13, 13, 49, 54, 50, 17, 42, 117, 15, 96, 1, 6, 10, 22, 97, 178, 12, 83, 85, 22, 2, 53, 37, 23, 1, 85, 17, 168, 62, 14, 138, 13, 69, 15, 36, 92, 21, 33, 26, 329, 87, 142, 55, 346, 23, 32, 174, 9, 50, 188, 129, 129, 133, 408, 460, 311, 819, 299, 187, 2917, 250, 396, 136, 681, 170, 73, 57, 145, 125, 1057, 40, 1542, 306, 147, 448, 728, 129, 1885, 4040, 290, 597, 4624, 2708, 2185, 6696, 31749, 2607, 11752, 162930 ]
165
2,559
[ 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0 ]
[ 0, 3, 8, 10, 11, 20, 24, 24, 25, 27, 30, 44, 45, 54, 131, 153, 157, 159, 161, 165, 166, 177, 206, 226, 239, 326, 332, 342, 412, 430, 515, 613, 742, 805, 893, 909, 987, 1574, 1879, 2074, 2225, 3076, 5247, 5793, 5802, 5805, 6859, 7258, 7491, 9771, 14262, 23861, 25467, 30310, 36613, 72754, 87646, 431652 ]
3
[ 0, 3, 5, 2, 1, 9, 4, 0, 1, 2, 3, 14, 1, 9, 77, 22, 4, 2, 2, 4, 1, 11, 29, 20, 13, 87, 6, 10, 70, 18, 85, 98, 129, 63, 88, 16, 78, 587, 305, 195, 151, 851, 2171, 546, 9, 3, 1054, 399, 233, 2280, 4491, 9599, 1606, 4843, 6303, 36141, 14892, 344006 ]
58
2,560
[ 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
[ 0, 8, 13, 77, 83, 452, 580, 1276, 1433, 1708, 2502, 2522, 2542, 2591, 3594, 4230, 4357, 5391, 8190, 8288, 13615, 81168, 81185, 81204, 81327, 81670, 81739, 81747, 81751, 81865, 81887, 81890, 81920, 81928, 82132, 82245, 82259, 82890, 82927, 83163, 83242, 83310, 83560, 83560, 85072, 85092, 85113, 85119, 85119, 85142, 85173, 85203, 85219, 85232, 85317, 85340, 85391, 85447, 85449, 85467, 85474, 85734, 85937, 87142, 90009, 90018, 90181, 90334, 93235, 93249, 93299, 93359, 93399, 95943, 95989, 96015, 96505, 98433, 102972, 103128, 103156, 103549, 103965, 104003, 104066, 104086, 104152, 104259, 104268, 104270, 104316, 104432, 104533, 104589, 104719, 104802, 105056, 105063, 105086, 105137, 105182, 105318, 106295, 106297, 106315, 106320, 106321, 106330, 106374, 106390, 106427, 106431, 106446, 106466, 106522, 106576, 106598, 106619, 106740, 106936, 107037, 107097, 107118, 107483, 108007, 108162, 108334, 109088, 109752, 109786, 111970, 291248, 291264, 291281, 291295, 291301, 291304, 291324, 291342, 291352, 291374, 291384, 291385, 291394, 291410, 291450, 291467, 291479, 291480, 291494, 291504, 291608, 291903, 292020, 292023, 292053, 292058, 292070, 292145, 292157, 292183, 292188, 292263, 292321, 292514, 293373, 293702, 293722, 294630, 474558, 474609, 567035 ]
3
[ 0, 8, 5, 64, 6, 369, 128, 696, 157, 275, 794, 20, 20, 49, 1003, 636, 127, 1034, 2799, 98, 5327, 67553, 17, 19, 123, 343, 69, 8, 4, 114, 22, 3, 30, 8, 204, 113, 14, 631, 37, 236, 79, 68, 250, 0, 1512, 20, 21, 6, 0, 23, 31, 30, 16, 13, 85, 23, 51, 56, 2, 18, 7, 260, 203, 1205, 2867, 9, 163, 153, 2901, 14, 50, 60, 40, 2544, 46, 26, 490, 1928, 4539, 156, 28, 393, 416, 38, 63, 20, 66, 107, 9, 2, 46, 116, 101, 56, 130, 83, 254, 7, 23, 51, 45, 136, 977, 2, 18, 5, 1, 9, 44, 16, 37, 4, 15, 20, 56, 54, 22, 21, 121, 196, 101, 60, 21, 365, 524, 155, 172, 754, 664, 34, 2184, 179278, 16, 17, 14, 6, 3, 20, 18, 10, 22, 10, 1, 9, 16, 40, 17, 12, 1, 14, 10, 104, 295, 117, 3, 30, 5, 12, 75, 12, 26, 5, 75, 58, 193, 859, 329, 20, 908, 179928, 51, 92426 ]
172
2,561
[ 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1 ]
[ 0, 5, 7, 17, 51, 53, 60, 63, 76, 96, 126, 154, 166, 166, 169, 266, 323, 462, 468, 473, 592, 626, 650, 678, 738, 752, 1004, 1057, 1377, 1408, 1518, 1707, 1799, 1869, 1922, 1940, 2117, 2184, 2332, 2600, 3376, 3711, 3879, 3894, 4178, 4814, 5293, 7962, 8092, 8899, 9617, 10828, 13194, 13477, 14879, 15232, 15465, 15636, 15682, 18741, 30713, 30916, 31308, 39224, 47614, 47849, 52372, 60430, 79414, 115027, 223975, 449662 ]
3
[ 0, 5, 2, 10, 34, 2, 7, 3, 13, 20, 30, 28, 12, 0, 3, 97, 57, 139, 6, 5, 119, 34, 24, 28, 60, 14, 252, 53, 320, 31, 110, 189, 92, 70, 53, 18, 177, 67, 148, 268, 776, 335, 168, 15, 284, 636, 479, 2669, 130, 807, 718, 1211, 2366, 283, 1402, 353, 233, 171, 46, 3059, 11972, 203, 392, 7916, 8390, 235, 4523, 8058, 18984, 35613, 108948, 225687 ]
72
2,562
[ 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1 ]
[ 0, 41, 43, 47, 60, 65, 67, 75, 76, 89, 103, 180, 190, 212, 241, 246, 300, 302, 304, 335, 365, 373, 431, 600, 609, 634, 649, 688, 719, 833, 963, 987, 1007, 1029, 1165, 1928, 2152, 2285, 2584, 2590, 2663, 4119, 4729, 5190, 5827, 10887, 17001, 18696, 39041, 45334, 46341, 50428, 143490, 172505, 409200 ]
3
[ 0, 41, 2, 4, 13, 5, 2, 8, 1, 13, 14, 77, 10, 22, 29, 5, 54, 2, 2, 31, 30, 8, 58, 169, 9, 25, 15, 39, 31, 114, 130, 24, 20, 22, 136, 763, 224, 133, 299, 6, 73, 1456, 610, 461, 637, 5060, 6114, 1695, 20345, 6293, 1007, 4087, 93062, 29015, 236695 ]
55
2,563
[ 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0 ]
[ 0, 5, 15, 33, 45, 54, 63, 71, 92, 144, 144, 401, 434, 1423, 1434, 1442, 1445, 1455, 1463, 1467, 1469, 1479, 1493, 1527, 1529, 1573, 1581, 1644, 1644, 1662, 1679, 1690, 1728, 1840, 1875, 2098, 2109, 4163, 4423, 4552, 4573, 4617, 4661, 4735, 5334, 6125, 50094, 52104, 53826, 153746, 303870 ]
3
[ 0, 5, 10, 18, 12, 9, 9, 8, 21, 52, 0, 257, 33, 989, 11, 8, 3, 10, 8, 4, 2, 10, 14, 34, 2, 44, 8, 63, 0, 18, 17, 11, 38, 112, 35, 223, 11, 2054, 260, 129, 21, 44, 44, 74, 599, 791, 43969, 2010, 1722, 99920, 150124 ]
51
2,564
[ 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1 ]
[ 0, 4, 16, 17, 30, 62, 62, 116, 121, 129, 148, 152, 219, 240, 295, 313, 322, 348, 397, 421, 460, 495, 503, 626, 626, 668, 690, 741, 775, 865, 1785, 1970, 1991, 2050, 2110, 2189, 2354, 2361, 2640, 2674, 2812, 2950, 3050, 3093, 4423, 4638, 4658, 4669, 4730, 4918, 4957, 5142, 5234, 5335, 5388, 6095, 6321, 6533, 6639, 7345, 7387, 7628, 7786, 8282, 8546, 9202, 9721, 10415, 10416, 13826, 15287, 17753, 18374, 23810, 24866, 25536, 27609, 29107, 31380, 31617, 33934, 36995, 40477, 41797, 42200, 43493, 43768, 46856, 63644, 94412, 95135, 127507 ]
3
[ 0, 4, 12, 1, 13, 32, 0, 54, 5, 8, 19, 4, 67, 21, 55, 18, 9, 26, 49, 24, 39, 35, 8, 123, 0, 42, 22, 51, 34, 90, 920, 185, 21, 59, 60, 79, 165, 7, 279, 34, 138, 138, 100, 43, 1330, 215, 20, 11, 61, 188, 39, 185, 92, 101, 53, 707, 226, 212, 106, 706, 42, 241, 158, 496, 264, 656, 519, 694, 1, 3410, 1461, 2466, 621, 5436, 1056, 670, 2073, 1498, 2273, 237, 2317, 3061, 3482, 1320, 403, 1293, 275, 3088, 16788, 30768, 723, 32372 ]
92
2,565
[ 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 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, 1, 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 ]
[ 0, 20, 24, 34, 36, 39, 40, 41, 49, 51, 55, 78, 89, 95, 109, 158, 159, 207, 234, 244, 261, 265, 287, 304, 322, 353, 376, 475, 492, 540, 600, 690, 797, 876, 1044, 1441, 1443, 1481, 1666, 1739, 2200, 2314, 2363, 2476, 2649, 2664, 2839, 2927, 3176, 3217, 3236, 3652, 3819, 3986, 4188, 4431, 4491, 4562, 4972, 4973, 5429, 5586, 5603, 5965, 5970, 6525, 6700, 7446, 7879, 7942, 8744, 9808, 10611, 13235, 15950, 17634, 17895, 23855, 35947, 36039, 124324, 318309 ]
3
[ 0, 20, 4, 10, 2, 3, 1, 1, 8, 2, 4, 23, 11, 6, 14, 49, 1, 48, 27, 10, 17, 4, 22, 17, 18, 31, 23, 99, 17, 48, 60, 90, 107, 79, 168, 397, 2, 38, 185, 73, 461, 114, 49, 113, 173, 15, 175, 88, 249, 41, 19, 416, 167, 167, 202, 243, 60, 71, 410, 1, 456, 157, 17, 362, 5, 555, 175, 746, 433, 63, 802, 1064, 803, 2624, 2715, 1684, 261, 5960, 12092, 92, 88285, 193985 ]
82
2,566
[ 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 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, 10, 12, 13, 14, 16, 18, 21, 23, 26, 31, 32, 33, 36, 39, 42, 47, 49, 50, 51, 52, 53, 55, 56, 56, 59, 61, 66, 69, 69, 70, 74, 76, 78, 81, 87, 87, 93, 94, 96, 104, 106, 110, 118, 121, 123, 131, 151, 155, 165, 169, 170, 170, 182, 197, 202, 211, 213, 214, 216, 232, 260, 283, 289, 291, 331, 354, 383, 386, 434, 471, 529, 536, 621, 625, 627, 634, 656, 712, 717, 746, 844, 933, 1014, 1028, 1229, 1242, 1360, 1442, 1474, 1684, 1706, 1717, 1746, 2118, 2495, 2538, 2552, 2686, 2921, 2929, 2993, 3036, 3043, 3048, 3867, 5143, 5383, 8929, 11689, 21564, 21613, 21662, 78376, 143462 ]
3
[ 0, 10, 2, 1, 1, 2, 2, 3, 2, 3, 5, 1, 1, 3, 3, 3, 5, 2, 1, 1, 1, 1, 2, 1, 0, 3, 2, 5, 3, 0, 1, 4, 2, 2, 3, 6, 0, 6, 1, 2, 8, 2, 4, 8, 3, 2, 8, 20, 4, 10, 4, 1, 0, 12, 15, 5, 9, 2, 1, 2, 16, 28, 23, 6, 2, 40, 23, 29, 3, 48, 37, 58, 7, 85, 4, 2, 7, 22, 56, 5, 29, 98, 89, 81, 14, 201, 13, 118, 82, 32, 210, 22, 11, 29, 372, 377, 43, 14, 134, 235, 8, 64, 43, 7, 5, 819, 1276, 240, 3546, 2760, 9875, 49, 49, 56714, 65086 ]
115
2,567
[ 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0 ]
[ 0, 24, 25, 160, 353, 865, 1187, 1207, 1213, 1217, 1219, 1243, 1245, 1264, 1294, 1323, 1326, 1372, 1382, 1415, 1423, 1441, 1493, 1565, 1585, 1633, 1897, 5020, 5035, 5054, 26047, 26103, 53483, 54809, 54912, 54990, 54997, 55024, 55066, 55069, 55087, 55191, 55296, 55373, 55458, 57406, 57867, 58819, 58893, 58920, 58931, 58934, 58947, 58958, 58985, 59026, 59128, 59279, 59338, 59441, 59818, 69455, 69479, 69490, 69566, 69647, 69974, 70858, 109703, 124105, 141900, 418639 ]
3
[ 0, 24, 1, 135, 193, 512, 322, 20, 6, 4, 2, 24, 2, 19, 30, 29, 3, 46, 10, 33, 8, 18, 52, 72, 20, 48, 264, 3123, 15, 19, 20993, 56, 27380, 1326, 103, 78, 7, 27, 42, 3, 18, 104, 105, 77, 85, 1948, 461, 952, 74, 27, 11, 3, 13, 11, 27, 41, 102, 151, 59, 103, 377, 9637, 24, 11, 76, 81, 327, 884, 38845, 14402, 17795, 276739 ]
72
2,568
[ 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1 ]
[ 0, 6, 11, 11, 15, 16, 17, 22, 24, 31, 31, 36, 37, 38, 39, 39, 41, 47, 50, 50, 53, 55, 62, 64, 72, 75, 85, 88, 88, 94, 95, 101, 115, 116, 118, 121, 122, 131, 133, 138, 142, 159, 203, 212, 218, 241, 279, 284, 326, 335, 403, 487, 503, 525, 791, 1023, 1313, 2010 ]
3
[ 0, 6, 5, 0, 4, 1, 1, 5, 2, 7, 0, 5, 1, 1, 1, 0, 2, 6, 3, 0, 3, 2, 7, 2, 8, 3, 10, 3, 0, 6, 1, 6, 14, 1, 2, 3, 1, 9, 2, 5, 4, 17, 44, 9, 6, 23, 38, 5, 42, 9, 68, 84, 16, 22, 266, 232, 290, 697 ]
58
2,569
[ 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1 ]
[ 0, 5, 10, 24, 29, 35, 44, 47, 74, 107, 132, 136, 194, 235, 270, 414, 562, 4084, 6911, 19397, 19437, 19474, 19477, 19492, 19497, 19500, 19508, 19513, 19518, 19520, 19530, 19532, 19538, 19547, 19547, 19549, 19551, 19552, 19554, 19555, 19560, 19562, 19567, 19568, 19568, 19568, 19569, 19569, 19571, 19577, 19580, 19582, 19584, 19586, 19587, 19589, 19589, 19589, 19590, 19597, 19603, 19604, 19607, 19614, 19623, 19625, 19626, 19630, 19639, 19639, 19646, 19649, 19651, 19661, 19668, 19674, 19702, 19733, 19748, 19761, 19770, 19779, 19791, 19813, 19820, 19828, 19832, 19886, 19888, 19989, 20053, 21323, 21471, 21835, 30189, 91206, 91277, 91294, 91294, 91313, 91319, 91327, 91335, 91339, 91347, 91347, 91359, 91373, 91377, 91379, 91456, 91507, 91567, 91820, 517198, 517312 ]
3
[ 0, 5, 5, 14, 5, 6, 9, 3, 27, 33, 25, 4, 58, 41, 35, 144, 148, 3522, 2827, 12486, 40, 37, 3, 15, 5, 3, 8, 5, 5, 2, 10, 2, 6, 9, 0, 2, 2, 1, 2, 1, 5, 2, 5, 1, 0, 0, 1, 0, 2, 6, 3, 2, 2, 2, 1, 2, 0, 0, 1, 7, 6, 1, 3, 7, 9, 2, 1, 4, 9, 0, 7, 3, 2, 10, 7, 6, 28, 31, 15, 13, 9, 9, 12, 22, 7, 8, 4, 54, 2, 101, 64, 1270, 148, 364, 8354, 61017, 71, 17, 0, 19, 6, 8, 8, 4, 8, 0, 12, 14, 4, 2, 77, 51, 60, 253, 425378, 114 ]
116
2,570
[ 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1 ]
[ 0, 11, 16, 25, 40, 40, 88, 93, 100, 101, 115, 125, 135, 144, 195, 200, 219, 232, 232, 234, 280, 325, 622, 669, 794, 832, 1029, 1030, 1033, 1111, 1171, 1241, 1279, 1346, 1397, 1423, 1630, 1696, 1705, 1779, 1881, 1968, 2165, 2189, 3037, 4419, 4612, 4673, 4828, 7821, 7980, 9079, 17516, 22310, 61195, 80709, 104621, 145765, 438823, 460786, 499857 ]
3
[ 0, 11, 5, 9, 15, 0, 48, 5, 7, 1, 14, 10, 10, 9, 51, 5, 19, 13, 0, 2, 46, 45, 297, 47, 125, 38, 197, 1, 3, 78, 60, 70, 38, 67, 51, 26, 207, 66, 9, 74, 102, 87, 197, 24, 848, 1382, 193, 61, 155, 2993, 159, 1099, 8437, 4794, 38885, 19514, 23912, 41144, 293058, 21963, 39071 ]
61
2,571
[ 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0 ]
[ 0, 15, 15, 21, 22, 24, 25, 65, 74, 83, 86, 87, 87, 88, 92, 104, 116, 119, 127, 130, 136, 139, 141, 152, 156, 256, 271, 373, 528, 694, 705, 827, 879, 892, 2413, 2664, 2768, 2961, 3132, 3251, 3658, 5771, 5950, 7240, 7254, 7263, 7989, 13522, 17143, 19818, 82690, 88199, 88441, 88740, 88936, 90734, 434459 ]
3
[ 0, 15, 0, 6, 1, 2, 1, 40, 9, 9, 3, 1, 0, 1, 4, 12, 12, 3, 8, 3, 6, 3, 2, 11, 4, 100, 15, 102, 155, 166, 11, 122, 52, 13, 1521, 251, 104, 193, 171, 119, 407, 2113, 179, 1290, 14, 9, 726, 5533, 3621, 2675, 62872, 5509, 242, 299, 196, 1798, 343725 ]
57
2,572
[ 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1 ]
[ 0, 20, 33, 38, 39, 59, 67, 72, 74, 83, 89, 120, 153, 164, 167, 213, 237, 245, 258, 295, 310, 368, 410, 462, 494, 539, 572, 591, 628, 653, 671, 696, 823, 828, 841, 914, 946, 947, 965, 1055, 1088, 1311, 1312, 1408, 1549, 1688, 1754, 1790, 1830, 1859, 1974, 2023, 2111, 2141, 2146, 2151, 2175, 2456, 2493, 2512, 2612, 2834, 3006, 3103, 3140, 3291, 3392, 3460, 3536, 3580, 3653, 3686, 4238, 4517, 4615, 4677, 4861, 4939, 4970, 4975, 5395, 5539, 5965, 6263, 6869, 7012, 7283, 7365, 7455, 7535, 7771, 7773, 7822, 7932, 7970, 8040, 8437, 8695, 9019, 9647, 9855, 10186, 10427, 10510, 10732, 11086, 11103, 11384, 11391, 11912, 12087, 12354, 12425, 12539, 12698, 12699, 13196, 14897, 15000, 15086, 15439, 15498, 16265, 16848, 17006, 17490, 17648, 19278, 19958, 20019, 20428, 20652, 21053, 21976, 23288, 26163, 28911, 31943, 32289, 33673, 33862, 33878, 34151, 34496, 35549, 36422, 38526, 43885, 44176, 45456, 50405, 57807, 58187, 64923, 67683, 70319, 70528, 75884, 77985, 80345, 82682, 84513, 93077, 99114, 105132, 123746, 141662, 145169, 150823, 186299, 190949, 320381, 327574, 337187, 450290, 450340 ]
3
[ 0, 20, 13, 5, 1, 20, 8, 5, 2, 9, 6, 31, 33, 11, 3, 46, 24, 8, 13, 37, 15, 58, 42, 52, 32, 45, 33, 19, 37, 25, 18, 25, 127, 5, 13, 73, 32, 1, 18, 90, 33, 223, 1, 96, 141, 139, 66, 36, 40, 29, 115, 49, 88, 30, 5, 5, 24, 281, 37, 19, 100, 222, 172, 97, 37, 151, 101, 68, 76, 44, 73, 33, 552, 279, 98, 62, 184, 78, 31, 5, 420, 144, 426, 298, 606, 143, 271, 82, 90, 80, 236, 2, 49, 110, 38, 70, 397, 258, 324, 628, 208, 331, 241, 83, 222, 354, 17, 281, 7, 521, 175, 267, 71, 114, 159, 1, 497, 1701, 103, 86, 353, 59, 767, 583, 158, 484, 158, 1630, 680, 61, 409, 224, 401, 923, 1312, 2875, 2748, 3032, 346, 1384, 189, 16, 273, 345, 1053, 873, 2104, 5359, 291, 1280, 4949, 7402, 380, 6736, 2760, 2636, 209, 5356, 2101, 2360, 2337, 1831, 8564, 6037, 6018, 18614, 17916, 3507, 5654, 35476, 4650, 129432, 7193, 9613, 113103, 50 ]
176
2,573
[ 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1 ]
[ 0, 0, 5, 6, 12, 16, 41, 41, 69, 85, 86, 142, 156, 166, 166, 176, 178, 211, 223, 244, 264, 305, 364, 459, 474, 523, 523, 583, 842, 879, 984, 1521, 1754, 1992, 2081, 2161, 2727, 3962, 4084, 4511, 5356, 6555, 8013, 8372, 8426, 9619, 9718, 10513, 30926, 44082, 55343, 92062, 183697, 183796, 232470, 232902, 237036 ]
3
[ 0, 0, 5, 1, 6, 4, 25, 0, 28, 16, 1, 56, 14, 10, 0, 10, 2, 33, 12, 21, 20, 41, 59, 95, 15, 49, 0, 60, 259, 37, 105, 537, 233, 238, 89, 80, 566, 1235, 122, 427, 845, 1199, 1458, 359, 54, 1193, 99, 795, 20413, 13156, 11261, 36719, 91635, 99, 48674, 432, 4134 ]
57
2,574
[ 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1 ]
[ 0, 3, 8, 17, 19, 20, 23, 25, 37, 37, 48, 75, 78, 79, 81, 83, 86, 86, 92, 97, 101, 105, 109, 112, 120, 125, 134, 159, 162, 166, 167, 171, 182, 196, 202, 217, 243, 248, 263, 319, 326, 328, 337, 366, 392, 403, 413, 424, 437, 442, 459, 490, 495, 499, 511, 512, 513, 521, 535, 554, 554, 571, 585, 688, 702, 703, 767, 768, 830, 856, 873, 930, 944, 984, 1000, 1002, 1003, 1038, 1130, 1270, 1359, 1363, 1372, 1494, 1506, 1509, 1644, 1740, 1809, 1883, 1981, 2187, 2328, 2524, 2748, 2803, 2964, 2974, 3257, 3378, 3776, 3999, 4425, 4575, 4600, 4639, 4692, 4851, 4886, 4924, 4986, 5002, 5037, 5111, 5423, 5855, 5883, 6240, 6310, 6639, 7295, 8859, 9262, 9428, 9695, 10212, 10486, 10494, 10953, 12826, 14474, 14545, 14707, 14707, 15134, 15280, 15740, 15905, 15946, 16366, 16551, 17636, 17905, 18005, 18045, 18210, 18316, 18341, 18566, 19199, 20626, 21257, 21998, 23014, 23402, 23451, 25353, 25545, 25811, 26049, 26376, 27312, 27401, 29734, 30852, 31082, 32495, 37882, 38484, 39256, 41725, 43542, 46788, 48281, 48773, 52067, 52101, 59878, 59964, 61353, 61419, 66441, 69775, 90508, 90911, 128778, 147930, 150962, 156449, 161966, 235097, 331747 ]
3
[ 0, 3, 5, 9, 2, 1, 3, 2, 12, 0, 11, 27, 3, 1, 2, 2, 3, 0, 6, 5, 4, 4, 4, 3, 8, 5, 9, 25, 3, 4, 1, 4, 11, 14, 6, 15, 26, 5, 15, 56, 7, 2, 9, 29, 26, 11, 10, 11, 13, 5, 17, 31, 5, 4, 12, 1, 1, 8, 14, 19, 0, 17, 14, 103, 14, 1, 64, 1, 62, 26, 17, 57, 14, 40, 16, 2, 1, 35, 92, 140, 89, 4, 9, 122, 12, 3, 135, 96, 69, 74, 98, 206, 141, 196, 224, 55, 161, 10, 283, 121, 398, 223, 426, 150, 25, 39, 53, 159, 35, 38, 62, 16, 35, 74, 312, 432, 28, 357, 70, 329, 656, 1564, 403, 166, 267, 517, 274, 8, 459, 1873, 1648, 71, 162, 0, 427, 146, 460, 165, 41, 420, 185, 1085, 269, 100, 40, 165, 106, 25, 225, 633, 1427, 631, 741, 1016, 388, 49, 1902, 192, 266, 238, 327, 936, 89, 2333, 1118, 230, 1413, 5387, 602, 772, 2469, 1817, 3246, 1493, 492, 3294, 34, 7777, 86, 1389, 66, 5022, 3334, 20733, 403, 37867, 19152, 3032, 5487, 5517, 73131, 96650 ]
192
2,575
[ 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0 ]
[ 0, 2, 4, 5, 6, 9, 72, 74, 79, 80, 85, 91, 93, 95, 97, 103, 106, 108, 110, 111, 115, 116, 122, 123, 123, 123, 124, 124, 126, 127, 129, 129, 129, 129, 129, 132, 137, 137, 140, 140, 142, 142, 158, 159, 159, 162, 163, 165, 167, 168, 168, 171, 175, 185, 187, 193, 199, 200, 201, 204, 204, 205, 212, 224, 226, 232, 235, 242, 246, 248, 259, 260, 262, 276, 346, 382, 386, 398, 398, 409, 410, 413, 421, 443, 456, 464, 467, 477, 486, 492, 493, 510, 539, 562, 636, 641, 664, 716, 726, 738, 765, 782, 786, 814, 908, 925, 938, 978, 981, 990, 1055, 1089, 1180, 1184, 1184, 1200, 1240, 1390, 1420, 1428, 1443, 1465, 1483, 1492, 1598, 1601, 1628, 1641, 1653, 1680, 1686, 1730, 1857, 1947, 2105, 2138, 2138, 2173, 2265, 2299, 2312, 2515, 2539, 2580, 2712, 2723, 2746, 2858, 2980, 3069, 3233, 3447, 3514, 3683, 3805, 3831, 3849, 4047, 4080, 4081, 4237, 4249, 4413, 4477, 4494, 4661, 4701, 4734, 4749, 4923, 5093, 5172, 6079, 6213, 6256, 6598, 6642, 6761, 6973, 7051, 7611, 7937, 8104, 8336, 8738, 8797, 8853, 10031, 11085, 12008, 12956, 13136, 14333, 14472, 14658, 15085, 15429, 16244, 16994, 18349, 23041, 26631, 30430, 33090, 34245, 62853, 64030, 65825, 69476, 79459, 85947, 107001, 138988, 141450, 152626, 154670, 161512, 177112, 180675, 185714, 187534, 191138, 266413, 273611, 276049, 282739, 282959, 307500, 352310, 356928, 378395, 512269, 529448 ]
3
[ 0, 2, 2, 1, 1, 3, 63, 2, 5, 1, 5, 6, 2, 2, 2, 6, 3, 2, 2, 1, 4, 1, 6, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 3, 5, 0, 3, 0, 2, 0, 16, 1, 0, 3, 1, 2, 2, 1, 0, 3, 4, 10, 2, 6, 6, 1, 1, 3, 0, 1, 7, 12, 2, 6, 3, 7, 4, 2, 11, 1, 2, 14, 70, 36, 4, 12, 0, 11, 1, 3, 8, 22, 13, 8, 3, 10, 9, 6, 1, 17, 29, 23, 74, 5, 23, 52, 10, 12, 27, 17, 4, 28, 94, 17, 13, 40, 3, 9, 65, 34, 91, 4, 0, 16, 40, 150, 30, 8, 15, 22, 18, 9, 106, 3, 27, 13, 12, 27, 6, 44, 127, 90, 158, 33, 0, 35, 92, 34, 13, 203, 24, 41, 132, 11, 23, 112, 122, 89, 164, 214, 67, 169, 122, 26, 18, 198, 33, 1, 156, 12, 164, 64, 17, 167, 40, 33, 15, 174, 170, 79, 907, 134, 43, 342, 44, 119, 212, 78, 560, 326, 167, 232, 402, 59, 56, 1178, 1054, 923, 948, 180, 1197, 139, 186, 427, 344, 815, 750, 1355, 4692, 3590, 3799, 2660, 1155, 28608, 1177, 1795, 3651, 9983, 6488, 21054, 31987, 2462, 11176, 2044, 6842, 15600, 3563, 5039, 1820, 3604, 75275, 7198, 2438, 6690, 220, 24541, 44810, 4618, 21467, 133874, 17179 ]
233
2,576
[ 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 16, 29, 74, 78, 85, 96, 97, 110, 145, 205, 228, 251, 332, 422, 456, 541, 615, 716, 847, 876, 1474, 1732, 1750, 2172, 2267, 3031, 3176, 3984, 4051, 4296, 5648, 5698, 8894, 9984, 10488, 15242, 24420, 29213, 29222, 29274, 29367, 29456, 29515, 29636, 33918, 38212, 38329, 43486, 44547, 44679, 44688, 44700, 44868, 44893, 44972, 45533, 45657, 46287, 48140, 48211, 48226, 48246, 48378, 48496, 52097, 52117, 52122, 52123, 52135, 52152, 52305, 52317, 52334, 52429, 52877, 52945, 53105, 54129, 55769, 71879, 75085, 106099, 127234, 161514, 166469, 212420, 509344 ]
3
[ 0, 16, 13, 45, 4, 7, 11, 1, 13, 35, 60, 23, 23, 81, 90, 34, 85, 74, 101, 131, 29, 598, 258, 18, 422, 95, 764, 145, 808, 67, 245, 1352, 50, 3196, 1090, 504, 4754, 9178, 4793, 9, 52, 93, 89, 59, 121, 4282, 4294, 117, 5157, 1061, 132, 9, 12, 168, 25, 79, 561, 124, 630, 1853, 71, 15, 20, 132, 118, 3601, 20, 5, 1, 12, 17, 153, 12, 17, 95, 448, 68, 160, 1024, 1640, 16110, 3206, 31014, 21135, 34280, 4955, 45951, 296924 ]
88
2,577
[ 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ]
[ 0, 1, 4, 5, 6, 6, 8, 14, 14, 14, 15, 19, 21, 27, 31, 39, 40, 43, 44, 44, 45, 45, 49, 112, 113, 125, 142, 142, 143, 164, 181, 195, 196, 200, 210, 212, 219, 224, 224, 239, 255, 287, 288, 289, 305, 380, 385, 403, 423, 431, 453, 467, 476, 489, 549, 638, 652, 667, 683, 733, 747, 1061, 1269, 1305, 1332, 1364, 1517, 1629, 1690, 2101, 2151, 2525, 2625, 2902, 3321, 3490, 4038, 4708, 6280, 7287, 7623, 7836, 7935, 18022, 203958 ]
3
[ 0, 1, 3, 1, 1, 0, 2, 6, 0, 0, 1, 4, 2, 6, 4, 8, 1, 3, 1, 0, 1, 0, 4, 63, 1, 12, 17, 0, 1, 21, 17, 14, 1, 4, 10, 2, 7, 5, 0, 15, 16, 32, 1, 1, 16, 75, 5, 18, 20, 8, 22, 14, 9, 13, 60, 89, 14, 15, 16, 50, 14, 314, 208, 36, 27, 32, 153, 112, 61, 411, 50, 374, 100, 277, 419, 169, 548, 670, 1572, 1007, 336, 213, 99, 10087, 185936 ]
85
2,578
[ 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1 ]
[ 0, 34, 36, 40, 44, 47, 47, 60, 60, 61, 68, 70, 72, 88, 92, 101, 109, 124, 136, 189, 246, 265, 285, 319, 335, 435, 435, 448, 624, 1331, 1910, 1986, 2143, 2245, 2353, 2573, 2912, 3228, 3432, 3434, 5051, 6081, 8032, 8243, 14222, 17609, 24827, 27658, 31357, 31656, 31673, 47728, 47750, 48108, 72343, 86462, 103937, 105009, 266208, 266857, 413669 ]
3
[ 0, 34, 2, 4, 4, 3, 0, 13, 0, 1, 7, 2, 2, 16, 4, 9, 8, 15, 12, 53, 57, 19, 20, 34, 16, 100, 0, 13, 176, 707, 579, 76, 157, 102, 108, 220, 339, 316, 204, 2, 1617, 1030, 1951, 211, 5979, 3387, 7218, 2831, 3699, 299, 17, 16055, 22, 358, 24235, 14119, 17475, 1072, 161199, 649, 146812 ]
61
2,579
[ 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1 ]
[ 0, 7, 7, 17, 22, 23, 29, 31, 32, 36, 37, 58, 62, 62, 64, 73, 75, 77, 79, 81, 90, 97, 99, 220, 227, 241, 266, 275, 291, 298, 328, 347, 369, 378, 383, 413, 416, 417, 448, 469, 513, 522, 539, 556, 576, 577, 611, 633, 642, 648, 650, 659, 682, 683, 695, 697, 698, 752, 772, 774, 774, 777, 825, 833, 844, 864, 871, 887, 892, 899, 933, 949, 952, 967, 1040, 1060, 1063, 1093, 1102, 1120, 1127, 1127, 1128, 1146, 1178, 1206, 1220, 1224, 1247, 1248, 1265, 1273, 1274, 1290, 1290, 1312, 1365, 1458, 1566, 1571, 1686, 1691, 1698, 1706, 1757, 1813, 1958, 2094, 2100, 2157, 2184, 2195, 2257, 2285, 2315, 2347, 2462, 2470, 2473, 2496, 2546, 2552, 2582, 2597, 2614, 2635, 2770, 2896, 3001, 3020, 3064, 3073, 3141, 3305, 3366, 3545, 3614, 3638, 3749, 3827, 3827, 3870, 3886, 4139, 4183, 4248, 4329, 4369, 4510, 4594, 4634, 4715, 4868, 5071, 5570, 5651, 5988, 6019, 6196, 6214, 6273, 6276, 6540, 8002, 8474, 8697, 9080, 9420, 9433, 9832, 9996, 10578, 10796, 10974, 11028, 11279, 11519, 11826, 11968, 12083, 12088, 12326, 12493, 12625, 12640, 12670, 12759, 12913, 14154, 14324, 14486, 14846, 17672, 18044, 18411, 19620, 19814, 20047, 21328, 22990, 23882, 26170, 26184, 26447, 26653, 29844, 29935, 34020, 35539, 36904, 39866, 41380, 46532, 47071, 50821, 53139, 54708, 56966, 60567, 61141, 62567, 63852, 64861, 76456, 81405, 81441, 101717, 123473, 166814, 167305, 234202, 309232, 357714, 376411, 401048, 406876, 437689, 463077, 515626, 517768, 569313, 569700, 569723, 572967 ]
3
[ 0, 7, 0, 10, 5, 1, 6, 2, 1, 4, 1, 21, 4, 0, 2, 9, 2, 2, 2, 2, 9, 7, 2, 121, 7, 14, 25, 9, 16, 7, 30, 19, 22, 9, 5, 30, 3, 1, 31, 21, 44, 9, 17, 17, 20, 1, 34, 22, 9, 6, 2, 9, 23, 1, 12, 2, 1, 54, 20, 2, 0, 3, 48, 8, 11, 20, 7, 16, 5, 7, 34, 16, 3, 15, 73, 20, 3, 30, 9, 18, 7, 0, 1, 18, 32, 28, 14, 4, 23, 1, 17, 8, 1, 16, 0, 22, 53, 93, 108, 5, 115, 5, 7, 8, 51, 56, 145, 136, 6, 57, 27, 11, 62, 28, 30, 32, 115, 8, 3, 23, 50, 6, 30, 15, 17, 21, 135, 126, 105, 19, 44, 9, 68, 164, 61, 179, 69, 24, 111, 78, 0, 43, 16, 253, 44, 65, 81, 40, 141, 84, 40, 81, 153, 203, 499, 81, 337, 31, 177, 18, 59, 3, 264, 1462, 472, 223, 383, 340, 13, 399, 164, 582, 218, 178, 54, 251, 240, 307, 142, 115, 5, 238, 167, 132, 15, 30, 89, 154, 1241, 170, 162, 360, 2826, 372, 367, 1209, 194, 233, 1281, 1662, 892, 2288, 14, 263, 206, 3191, 91, 4085, 1519, 1365, 2962, 1514, 5152, 539, 3750, 2318, 1569, 2258, 3601, 574, 1426, 1285, 1009, 11595, 4949, 36, 20276, 21756, 43341, 491, 66897, 75030, 48482, 18697, 24637, 5828, 30813, 25388, 52549, 2142, 51545, 387, 23, 3244 ]
244
2,580
[ 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 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, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0 ]
[ 0, 43, 47, 49, 53, 64, 72, 74, 78, 87, 88, 89, 127, 155, 164, 179, 206, 260, 342, 352, 442, 446, 452, 686, 718, 829, 971, 992, 1009, 1263, 1571, 1701, 1831, 1930, 1937, 2090, 2486, 2524, 2709, 3027, 3072, 3350, 3585, 3816, 4224, 4529, 4740, 4915, 4992, 5959, 7627, 7667, 7815, 18839, 21753, 23553, 25203, 26369, 26456, 32751, 36156, 40824, 44154, 47924, 56429, 159476, 311964 ]
3
[ 0, 43, 4, 2, 4, 11, 8, 2, 4, 9, 1, 1, 38, 28, 9, 15, 27, 54, 82, 10, 90, 4, 6, 234, 32, 111, 142, 21, 17, 254, 308, 130, 130, 99, 7, 153, 396, 38, 185, 318, 45, 278, 235, 231, 408, 305, 211, 175, 77, 967, 1668, 40, 148, 11024, 2914, 1800, 1650, 1166, 87, 6295, 3405, 4668, 3330, 3770, 8505, 103047, 152488 ]
67
2,581
[ 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1 ]
[ 0, 9, 16, 20, 23, 28, 29, 41, 43, 47, 61, 73, 81, 84, 86, 87, 89, 90, 98, 113, 120, 121, 128, 149, 171, 182, 199, 209, 318, 509, 523, 682, 1256, 2178, 2442, 5661, 6201, 9594, 12675, 17398, 28484, 29583, 31245, 31265, 31273, 31326, 31420, 33727, 34141, 39503, 39588, 65328, 73285, 103150, 153162, 193217, 193565, 194191, 194339, 194381, 194994, 250256, 264034, 266850, 292755, 330083, 340676 ]
3
[ 0, 9, 7, 4, 3, 5, 1, 12, 2, 4, 14, 12, 8, 3, 2, 1, 2, 1, 8, 15, 7, 1, 7, 21, 22, 11, 17, 10, 109, 191, 14, 159, 574, 922, 264, 3219, 540, 3393, 3081, 4723, 11086, 1099, 1662, 20, 8, 53, 94, 2307, 414, 5362, 85, 25740, 7957, 29865, 50012, 40055, 348, 626, 148, 42, 613, 55262, 13778, 2816, 25905, 37328, 10593 ]
67
2,582
[ 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1 ]
[ 0, 0, 2, 3, 6, 7, 9, 11, 13, 13, 14, 14, 14, 15, 17, 18, 18, 20, 20, 21, 25, 25, 25, 26, 26, 26, 26, 27, 28, 28, 30, 30, 32, 32, 34, 35, 35, 37, 41, 41, 42, 43, 51, 53, 55, 55, 56, 57, 58, 58, 58, 62, 62, 64, 64, 66, 67, 70, 71, 75, 75, 78, 78, 79, 82, 83, 83, 84, 88, 91, 93, 94, 95, 100, 103, 104, 107, 107, 108, 116, 117, 119, 119, 128, 129, 131, 143, 143, 143, 145, 148, 154, 159, 165, 184, 197, 197, 202, 205, 208, 208, 217, 218, 227, 227, 249, 249, 259, 261, 278, 290, 308, 316, 323, 343, 355, 374, 398, 433, 441, 450, 472, 515, 522, 558, 562, 718, 779, 784, 1017, 1399, 1426, 1479, 1630, 1752, 2091, 2112, 2899, 2940, 3058, 3059, 3060, 3116, 3195, 3514, 4357, 4866, 4918, 5306, 5328, 6125, 8002, 8228, 8884, 9624, 10426, 11014, 11889, 12672, 14386, 17027, 17556, 17839, 18601, 18730, 19874, 46915, 46915, 50698, 55794, 56828, 59376, 71875, 78608, 87566, 90956, 95893, 144317, 146620, 146669, 149772, 149798, 149819, 150000 ]
3
[ 0, 0, 2, 1, 3, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 4, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 4, 0, 1, 1, 8, 2, 2, 0, 1, 1, 1, 0, 0, 4, 0, 2, 0, 2, 1, 3, 1, 4, 0, 3, 0, 1, 3, 1, 0, 1, 4, 3, 2, 1, 1, 5, 3, 1, 3, 0, 1, 8, 1, 2, 0, 9, 1, 2, 12, 0, 0, 2, 3, 6, 5, 6, 19, 13, 0, 5, 3, 3, 0, 9, 1, 9, 0, 22, 0, 10, 2, 17, 12, 18, 8, 7, 20, 12, 19, 24, 35, 8, 9, 22, 43, 7, 36, 4, 156, 61, 5, 233, 382, 27, 53, 151, 122, 339, 21, 787, 41, 118, 1, 1, 56, 79, 319, 843, 509, 52, 388, 22, 797, 1877, 226, 656, 740, 802, 588, 875, 783, 1714, 2641, 529, 283, 762, 129, 1144, 27041, 0, 3783, 5096, 1034, 2548, 12499, 6733, 8958, 3390, 4937, 48424, 2303, 49, 3103, 26, 21, 181 ]
184
2,583
[ 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1 ]
[ 0, 2, 8, 9, 13, 13, 14, 20, 21, 22, 23, 25, 26, 30, 31, 32, 33, 33, 33, 34, 36, 39, 39, 40, 40, 42, 46, 46, 47, 48, 53, 53, 55, 57, 58, 61, 62, 65, 67, 68, 70, 86, 87, 90, 91, 91, 92, 96, 97, 99, 100, 104, 105, 107, 109, 110, 112, 114, 117, 120, 120, 121, 124, 125, 128, 137, 138, 142, 143, 144, 147, 151, 153, 155, 160, 163, 167, 167, 173, 175, 176, 181, 183, 184, 186, 186, 187, 188, 195, 196, 201, 209, 225, 225, 230, 232, 246, 246, 258, 263, 264, 266, 274, 276, 280, 283, 295, 298, 299, 303, 326, 336, 340, 351, 355, 355, 365, 374, 380, 400, 427, 438, 451, 476, 514, 517, 533, 533, 572, 591, 599, 600, 606, 610, 623, 651, 655, 662, 663, 684, 692, 699, 708, 713, 735, 766, 769, 820, 848, 877, 940, 950, 1008, 1168, 1191, 1214, 1219, 1247, 1304, 1371, 1563, 1655, 1670, 1678, 1685, 1855, 1936, 2026, 2096, 2134, 2204, 2263, 2341, 2445, 2509, 2580, 2748, 2752, 2799, 2870, 2870, 3102, 3297, 3313, 3513, 3801, 3938, 4029, 4444, 4807, 5180, 5712, 5990, 6541, 6621, 7319, 7643, 7767, 9324, 13940, 14715, 40683, 58796, 69172, 69649, 72452, 80808, 88196, 90569, 92458, 92604, 92924, 93118, 93722, 112216, 134563, 147149, 154493, 155850, 163011, 169146, 176104, 182717, 184519, 184700, 187442, 188109, 189947, 192355, 215256, 242978, 245195, 247924, 257833, 277716, 327438, 336155, 336633, 341633, 341939, 373481, 410815, 418223, 435672, 435798, 450638, 520094, 534615, 572639, 589639, 596159 ]
3
[ 0, 2, 6, 1, 4, 0, 1, 6, 1, 1, 1, 2, 1, 4, 1, 1, 1, 0, 0, 1, 2, 3, 0, 1, 0, 2, 4, 0, 1, 1, 5, 0, 2, 2, 1, 3, 1, 3, 2, 1, 2, 16, 1, 3, 1, 0, 1, 4, 1, 2, 1, 4, 1, 2, 2, 1, 2, 2, 3, 3, 0, 1, 3, 1, 3, 9, 1, 4, 1, 1, 3, 4, 2, 2, 5, 3, 4, 0, 6, 2, 1, 5, 2, 1, 2, 0, 1, 1, 7, 1, 5, 8, 16, 0, 5, 2, 14, 0, 12, 5, 1, 2, 8, 2, 4, 3, 12, 3, 1, 4, 23, 10, 4, 11, 4, 0, 10, 9, 6, 20, 27, 11, 13, 25, 38, 3, 16, 0, 39, 19, 8, 1, 6, 4, 13, 28, 4, 7, 1, 21, 8, 7, 9, 5, 22, 31, 3, 51, 28, 29, 63, 10, 58, 160, 23, 23, 5, 28, 57, 67, 192, 92, 15, 8, 7, 170, 81, 90, 70, 38, 70, 59, 78, 104, 64, 71, 168, 4, 47, 71, 0, 232, 195, 16, 200, 288, 137, 91, 415, 363, 373, 532, 278, 551, 80, 698, 324, 124, 1557, 4616, 775, 25968, 18113, 10376, 477, 2803, 8356, 7388, 2373, 1889, 146, 320, 194, 604, 18494, 22347, 12586, 7344, 1357, 7161, 6135, 6958, 6613, 1802, 181, 2742, 667, 1838, 2408, 22901, 27722, 2217, 2729, 9909, 19883, 49722, 8717, 478, 5000, 306, 31542, 37334, 7408, 17449, 126, 14840, 69456, 14521, 38024, 17000, 6520 ]
251
2,584
[ 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0 ]
[ 0, 23, 30, 59, 70, 164, 200, 459, 490, 500, 545, 597, 603, 616, 664, 688, 701, 718, 721, 758, 783, 799, 819, 868, 878, 955, 1108, 1111, 1200, 1298, 1314, 1406, 1411, 1478, 1483, 1487, 1554, 1569, 1623, 1627, 1628, 1641, 1693, 1855, 1917, 1940, 1970, 2006, 2318, 2347, 2357, 2492, 2502, 2510, 2521, 2575, 2582, 2652, 2853, 2893, 2929, 2958, 2971, 3073, 3092, 3152, 3279, 3312, 3377, 3488, 3504, 3537, 3589, 3604, 3707, 4132, 4290, 4394, 4403, 4672, 4754, 5245, 5252, 5345, 5397, 5400, 5484, 5540, 5591, 5602, 5694, 6124, 6201, 19763 ]
3
[ 0, 23, 7, 29, 11, 94, 36, 259, 31, 10, 45, 52, 6, 13, 48, 24, 13, 17, 3, 37, 25, 16, 20, 49, 10, 77, 153, 3, 89, 98, 16, 92, 5, 67, 5, 4, 67, 15, 54, 4, 1, 13, 52, 162, 62, 23, 30, 36, 312, 29, 10, 135, 10, 8, 11, 54, 7, 70, 201, 40, 36, 29, 13, 102, 19, 60, 127, 33, 65, 111, 16, 33, 52, 15, 103, 425, 158, 104, 9, 269, 82, 491, 7, 93, 52, 3, 84, 56, 51, 11, 92, 430, 77, 13562 ]
94
2,585
[ 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1 ]
[ 0, 8, 10, 23, 39, 50, 53, 62, 63, 68, 71, 84, 88, 96, 130, 134, 149, 168, 169, 173, 183, 189, 231, 251, 253, 276, 302, 337, 388, 397, 414, 441, 444, 459, 536, 547, 571, 616, 676, 687, 739, 745, 870, 972, 983, 990, 1112, 1279, 1294, 1332, 1336, 1459, 1758, 1765, 1865, 1870, 2573, 2679, 2724, 2743, 2787, 2799, 3049, 3887, 4769, 4985, 5024, 5063, 5683, 6300, 7291, 8535, 12499, 20624, 26745, 37019, 46980 ]
3
[ 0, 8, 2, 13, 16, 11, 3, 9, 1, 5, 3, 13, 4, 8, 34, 4, 15, 19, 1, 4, 10, 6, 42, 20, 2, 23, 26, 35, 51, 9, 17, 27, 3, 15, 77, 11, 24, 45, 60, 11, 52, 6, 125, 102, 11, 7, 122, 167, 15, 38, 4, 123, 299, 7, 100, 5, 703, 106, 45, 19, 44, 12, 250, 838, 882, 216, 39, 39, 620, 617, 991, 1244, 3964, 8125, 6121, 10274, 9961 ]
77
2,586
[ 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 15, 28, 46, 50, 61, 62, 63, 79, 84, 101, 167, 195, 252, 328, 361, 414, 452, 593, 856, 884, 895, 914, 926, 945, 997, 1012, 1026, 1075, 1075, 1081, 1126, 1233, 1254, 1306, 1310, 1327, 1340, 1366, 1386, 1420, 1443, 1497, 1528, 1609, 1609, 1627, 1678, 1732, 1784, 1890, 1906, 1919, 1960, 2023, 2054, 2061, 2144, 2233, 2298, 2300, 2347, 2363, 2393, 2398, 2804, 3260, 3279, 3320, 3526, 3646, 3823, 3961, 3962, 4007, 4122, 4247, 4374, 4380, 4427, 4595, 4782, 4927, 4941, 4943, 4944, 4996, 4996, 5116, 5181, 5200, 5267, 5291, 5295, 5365, 5366, 5371, 5376, 5405, 5407, 5467, 5536, 5650, 5698, 5732, 5753, 5787, 5842, 5855, 5865, 5965, 6060, 6140, 6239, 6287, 6405, 6458, 6519, 6583, 6703, 6732, 6773, 6824, 6880, 6937, 6979, 7028, 7186, 7571, 7748, 7826, 7833, 7986, 8148, 8240, 8385, 8440, 8555, 8588, 8612, 8800, 8860, 8933, 8933, 8942, 9019, 9076, 9219, 9250, 9302, 9517, 9845, 9928, 10056, 10102, 10105, 10865, 10958, 10964, 11023, 11375, 11532, 11784, 11850, 11893, 13216, 13217, 13591, 13700, 13835, 13956, 14146, 14462, 14690, 14969, 14997, 15712, 16944, 18441, 19941, 22237, 22332, 23036, 24043, 27046, 28436, 28654, 29199, 31044, 33501, 36128, 37631, 38681, 40384, 41934, 42532, 42600, 42972, 43868, 43895, 44455, 51546, 52781, 53296, 53328, 67638, 68147, 68992, 70434, 71135, 73557, 79607, 83595, 95163, 152341, 156306, 168967, 175997, 268435, 284247, 505168 ]
3
[ 0, 15, 13, 18, 4, 11, 1, 1, 16, 5, 17, 66, 28, 57, 76, 33, 53, 38, 141, 263, 28, 11, 19, 12, 19, 52, 15, 14, 49, 0, 6, 45, 107, 21, 52, 4, 17, 13, 26, 20, 34, 23, 54, 31, 81, 0, 18, 51, 54, 52, 106, 16, 13, 41, 63, 31, 7, 83, 89, 65, 2, 47, 16, 30, 5, 406, 456, 19, 41, 206, 120, 177, 138, 1, 45, 115, 125, 127, 6, 47, 168, 187, 145, 14, 2, 1, 52, 0, 120, 65, 19, 67, 24, 4, 70, 1, 5, 5, 29, 2, 60, 69, 114, 48, 34, 21, 34, 55, 13, 10, 100, 95, 80, 99, 48, 118, 53, 61, 64, 120, 29, 41, 51, 56, 57, 42, 49, 158, 385, 177, 78, 7, 153, 162, 92, 145, 55, 115, 33, 24, 188, 60, 73, 0, 9, 77, 57, 143, 31, 52, 215, 328, 83, 128, 46, 3, 760, 93, 6, 59, 352, 157, 252, 66, 43, 1323, 1, 374, 109, 135, 121, 190, 316, 228, 279, 28, 715, 1232, 1497, 1500, 2296, 95, 704, 1007, 3003, 1390, 218, 545, 1845, 2457, 2627, 1503, 1050, 1703, 1550, 598, 68, 372, 896, 27, 560, 7091, 1235, 515, 32, 14310, 509, 845, 1442, 701, 2422, 6050, 3988, 11568, 57178, 3965, 12661, 7030, 92438, 15812, 220921 ]
221
2,587
[ 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1 ]
[ 0, 2, 3, 9, 11, 12, 14, 14, 19, 22, 29, 32, 35, 35, 36, 38, 42, 44, 51, 54, 56, 59, 61, 62, 66, 66, 81, 81, 98, 114, 125, 125, 129, 159, 188, 197, 197, 211, 225, 242, 261, 290, 305, 346, 380, 482, 717, 2158, 2769, 2968 ]
3
[ 0, 2, 1, 6, 2, 1, 2, 0, 5, 3, 7, 3, 3, 0, 1, 2, 4, 2, 7, 3, 2, 3, 2, 1, 4, 0, 15, 0, 17, 16, 11, 0, 4, 30, 29, 9, 0, 14, 14, 17, 19, 29, 15, 41, 34, 102, 235, 1441, 611, 199 ]
50
2,588
[ 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1 ]
[ 0, 10, 11, 14, 17, 22, 26, 28, 30, 40, 49, 56, 60, 66, 71, 124, 130, 132, 141, 147, 148, 150, 159, 187, 200, 208, 220, 226, 230, 247, 251, 255, 273, 277, 282, 302, 309, 332, 397, 414, 433, 460, 463, 476, 575, 676, 690, 715, 765, 788, 961, 970, 990, 1023, 1059, 1207, 1271, 1350, 1453, 1591, 1670, 1763, 1768, 1770, 1781, 1797, 1808, 1899, 1917, 1958, 2006, 2055, 2147, 2385, 2487, 2490, 2496, 2830, 3265, 3283, 3284, 3425, 4003, 4220, 4297, 4501, 5302, 5748, 6103, 6165, 7614, 8335, 9333, 9695, 9985, 10043, 11455, 11658, 12589, 13338, 14063, 15374, 16354, 21909, 25257, 31625, 36050, 38902, 57202, 59214, 63990, 66171, 68659, 73980, 89497, 117203, 156056, 186203, 186276 ]
3
[ 0, 10, 1, 3, 3, 5, 4, 2, 2, 10, 9, 7, 4, 6, 5, 53, 6, 2, 9, 6, 1, 2, 9, 28, 13, 8, 12, 6, 4, 17, 4, 4, 18, 4, 5, 20, 7, 23, 65, 17, 19, 27, 3, 13, 99, 101, 14, 25, 50, 23, 173, 9, 20, 33, 36, 148, 64, 79, 103, 138, 79, 93, 5, 2, 11, 16, 11, 91, 18, 41, 48, 49, 92, 238, 102, 3, 6, 334, 435, 18, 1, 141, 578, 217, 77, 204, 801, 446, 355, 62, 1449, 721, 998, 362, 290, 58, 1412, 203, 931, 749, 725, 1311, 980, 5555, 3348, 6368, 4425, 2852, 18300, 2012, 4776, 2181, 2488, 5321, 15517, 27706, 38853, 30147, 73 ]
119
2,589
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0 ]
[ 0, 4, 7, 27, 32, 41, 73, 80, 103, 104, 128, 138, 153, 164, 197, 206, 224, 226, 259, 280, 302, 338, 359, 374, 381, 427, 480, 514, 531, 553, 569, 572, 580, 603, 611, 630, 631, 635, 656, 671, 689, 787, 839, 999, 1049, 1064, 1134, 1221, 1248, 1333, 1438, 1448, 1450, 1561, 1634, 1684, 1688, 1690, 1719, 1755, 1989, 1999, 2179, 2219, 2494, 2606, 2646, 2693, 2727, 2730, 2783, 2813, 2906, 2940, 3101, 3266, 3375, 3450, 3602, 3688, 3822, 3913, 4084, 4398, 4499, 4576, 4628, 4822, 4963, 5009, 5297, 5378, 5442, 5456, 5487, 5838, 5973, 5991, 6024, 6159, 6814, 6990, 7057, 7203, 7258, 7593, 7699, 7746, 8494, 8523, 8527, 8541, 8626, 8861, 8864, 9150, 9303, 9316, 9358, 9502, 9557, 9592, 9606, 9845, 10179, 10409, 10482, 10574, 10957, 11075, 11100, 11102, 11120, 11374, 12301, 12366, 12488, 12552, 13534, 13855, 13890, 13903, 13906, 13953, 13981, 14249, 14384, 14434, 14443, 14529, 14630, 14753, 15254, 15563, 15751, 15806, 16228, 16530, 16928, 17121, 17281, 17479, 17549, 17550, 17584, 17855, 17855, 18132, 18377, 18479, 18482, 18764, 18774, 19036, 19216, 19279, 19560, 19649, 19720, 19734, 19759, 19810, 19927, 20013, 20215, 20341, 20359, 20570, 20690, 20717, 20910, 20916, 21275, 21399, 21950, 22648, 22935, 23026, 23126, 23143, 23206, 23805, 23847, 23962, 24469, 24668, 24674, 24822, 25023, 25898, 26546, 26925, 28546, 29674, 29949, 30077, 30434, 31367, 31367, 32538, 34051, 34417, 35631, 37400, 38054, 38298, 38304, 40539, 40894, 43988, 44601, 44688, 45121, 45147, 45815, 46487, 46506, 49384, 49981, 51357, 55899, 63043, 63503, 65126, 73183, 128217, 128725 ]
3
[ 0, 4, 3, 20, 5, 9, 32, 7, 23, 1, 24, 10, 15, 11, 33, 9, 18, 2, 33, 21, 22, 36, 21, 15, 7, 46, 53, 34, 17, 22, 16, 3, 8, 23, 8, 19, 1, 4, 21, 15, 18, 98, 52, 160, 50, 15, 70, 87, 27, 85, 105, 10, 2, 111, 73, 50, 4, 2, 29, 36, 234, 10, 180, 40, 275, 112, 40, 47, 34, 3, 53, 30, 93, 34, 161, 165, 109, 75, 152, 86, 134, 91, 171, 314, 101, 77, 52, 194, 141, 46, 288, 81, 64, 14, 31, 351, 135, 18, 33, 135, 655, 176, 67, 146, 55, 335, 106, 47, 748, 29, 4, 14, 85, 235, 3, 286, 153, 13, 42, 144, 55, 35, 14, 239, 334, 230, 73, 92, 383, 118, 25, 2, 18, 254, 927, 65, 122, 64, 982, 321, 35, 13, 3, 47, 28, 268, 135, 50, 9, 86, 101, 123, 501, 309, 188, 55, 422, 302, 398, 193, 160, 198, 70, 1, 34, 271, 0, 277, 245, 102, 3, 282, 10, 262, 180, 63, 281, 89, 71, 14, 25, 51, 117, 86, 202, 126, 18, 211, 120, 27, 193, 6, 359, 124, 551, 698, 287, 91, 100, 17, 63, 599, 42, 115, 507, 199, 6, 148, 201, 875, 648, 379, 1621, 1128, 275, 128, 357, 933, 0, 1171, 1513, 366, 1214, 1769, 654, 244, 6, 2235, 355, 3094, 613, 87, 433, 26, 668, 672, 19, 2878, 597, 1376, 4542, 7144, 460, 1623, 8057, 55034, 508 ]
247
2,590
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0 ]
[ 0, 4, 13, 17, 18, 24, 42, 43, 44, 44, 45, 48, 50, 60, 60, 61, 62, 64, 65, 68, 68, 68, 69, 70, 70, 73, 78, 79, 80, 80, 84, 87, 99, 102, 105, 106, 108, 108, 111, 115, 124, 127, 132, 134, 138, 151, 158, 161, 176, 177, 178, 182, 189, 226, 228, 246, 256, 273, 285, 293, 295, 317, 320, 331, 334, 342, 358, 386, 391, 421, 430, 456, 474, 546, 559, 565, 579, 604, 618, 635, 638, 639, 659, 743, 752, 752, 848, 889, 892, 901, 911, 955, 964, 972, 1002, 1019, 1038, 1079, 1160, 1164, 1173, 1238, 1251, 1465, 1473, 1491, 1503, 1568, 1625, 1660, 1677, 1712, 1748, 1785, 1873, 1934, 1970, 2001, 2018, 2100, 2111, 2219, 2413, 2488, 2848, 3002, 3038, 3191, 3204, 3299, 3457, 3463, 3647, 3695, 3865, 3973, 4046, 4308, 4354, 5409, 5721, 5974, 7165, 7254, 7305, 7320, 8416, 9151, 9480, 9500, 10836, 11238, 12238, 14273, 14691, 15054, 15504, 15764, 17702, 18432, 20228, 23945, 24446, 25585, 27433, 28466, 29039, 29271, 31018, 31922, 36669, 46433, 49573, 70780, 73062, 78552, 82546, 83835, 90283, 90373, 90495, 95650, 102024, 102377, 110917, 114642, 115550, 116751, 117880, 118290, 121764, 152936, 156917, 157374, 203165, 203195, 208206, 259350, 262456, 358109, 372251, 473640, 542919 ]
3
[ 0, 4, 9, 4, 1, 6, 18, 1, 1, 0, 1, 3, 2, 10, 0, 1, 1, 2, 1, 3, 0, 0, 1, 1, 0, 3, 5, 1, 1, 0, 4, 3, 12, 3, 3, 1, 2, 0, 3, 4, 9, 3, 5, 2, 4, 13, 7, 3, 15, 1, 1, 4, 7, 37, 2, 18, 10, 17, 12, 8, 2, 22, 3, 11, 3, 8, 16, 28, 5, 30, 9, 26, 18, 72, 13, 6, 14, 25, 14, 17, 3, 1, 20, 84, 9, 0, 96, 41, 3, 9, 10, 44, 9, 8, 30, 17, 19, 41, 81, 4, 9, 65, 13, 214, 8, 18, 12, 65, 57, 35, 17, 35, 36, 37, 88, 61, 36, 31, 17, 82, 11, 108, 194, 75, 360, 154, 36, 153, 13, 95, 158, 6, 184, 48, 170, 108, 73, 262, 46, 1055, 312, 253, 1191, 89, 51, 15, 1096, 735, 329, 20, 1336, 402, 1000, 2035, 418, 363, 450, 260, 1938, 730, 1796, 3717, 501, 1139, 1848, 1033, 573, 232, 1747, 904, 4747, 9764, 3140, 21207, 2282, 5490, 3994, 1289, 6448, 90, 122, 5155, 6374, 353, 8540, 3725, 908, 1201, 1129, 410, 3474, 31172, 3981, 457, 45791, 30, 5011, 51144, 3106, 95653, 14142, 101389, 69279 ]
203
2,591
[ 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0 ]
[ 0, 2, 4, 5, 6, 13, 13, 14, 18, 19, 25, 28, 29, 34, 36, 39, 42, 45, 46, 49, 54, 57, 58, 58, 59, 63, 63, 68, 68, 70, 71, 71, 80, 81, 83, 85, 86, 89, 92, 99, 102, 105, 106, 107, 108, 108, 108, 109, 110, 112, 113, 114, 115, 115, 117, 118, 119, 121, 128, 131, 133, 134, 134, 147, 150, 151, 156, 158, 159, 163, 168, 173, 176, 177, 186, 190, 191, 192, 199, 201, 209, 222, 232, 240, 240, 244, 271, 276, 283, 298, 302, 304, 313, 326, 333, 335, 344, 355, 362, 427, 432, 447, 448, 457, 460, 467, 468, 478, 501, 553, 565, 617, 617, 649, 650, 685, 699, 724, 759, 776, 789, 794, 841, 842, 878, 913, 1078, 1078, 1084, 1122, 1140, 1141, 1142, 1151, 1180, 1180, 1240, 1447, 1458, 1463, 1468, 1515, 1517, 1535, 1660, 1799, 1819, 1879, 2026, 2162, 2176, 2210, 2609, 2755, 3245, 3620, 4240, 5556, 6104, 7089, 7184, 7841, 9618, 9646, 12417, 12822, 16554, 18165, 25349, 26662, 56882, 61726, 66994, 95757, 100670, 148141, 165629, 166537, 192129, 243366, 244164, 244269, 244289, 244338, 244393, 246284, 248182, 267501, 287306, 304860, 332254, 346312, 356672, 419089, 442014, 488414, 491563, 495369, 516700, 519945 ]
3
[ 0, 2, 2, 1, 1, 7, 0, 1, 4, 1, 6, 3, 1, 5, 2, 3, 3, 3, 1, 3, 5, 3, 1, 0, 1, 4, 0, 5, 0, 2, 1, 0, 9, 1, 2, 2, 1, 3, 3, 7, 3, 3, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 7, 3, 2, 1, 0, 13, 3, 1, 5, 2, 1, 4, 5, 5, 3, 1, 9, 4, 1, 1, 7, 2, 8, 13, 10, 8, 0, 4, 27, 5, 7, 15, 4, 2, 9, 13, 7, 2, 9, 11, 7, 65, 5, 15, 1, 9, 3, 7, 1, 10, 23, 52, 12, 52, 0, 32, 1, 35, 14, 25, 35, 17, 13, 5, 47, 1, 36, 35, 165, 0, 6, 38, 18, 1, 1, 9, 29, 0, 60, 207, 11, 5, 5, 47, 2, 18, 125, 139, 20, 60, 147, 136, 14, 34, 399, 146, 490, 375, 620, 1316, 548, 985, 95, 657, 1777, 28, 2771, 405, 3732, 1611, 7184, 1313, 30220, 4844, 5268, 28763, 4913, 47471, 17488, 908, 25592, 51237, 798, 105, 20, 49, 55, 1891, 1898, 19319, 19805, 17554, 27394, 14058, 10360, 62417, 22925, 46400, 3149, 3806, 21331, 3245 ]
200
2,592
[ 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 15, 28, 44, 45, 87, 91, 113, 114, 142, 145, 164, 191, 207, 207, 225, 229, 239, 264, 281, 335, 335, 349, 407, 488, 495, 636, 689, 837, 911, 1043, 1090, 1181, 1219, 1261, 1480, 1488, 1590, 1867, 2386, 2428, 2448, 2632, 3137, 4200, 5611, 7824, 8747, 10768, 12241, 14919, 14952, 18149 ]
3
[ 0, 15, 13, 16, 1, 42, 4, 22, 1, 28, 3, 19, 27, 16, 0, 18, 4, 10, 25, 17, 54, 0, 14, 58, 81, 7, 141, 53, 148, 74, 132, 47, 91, 38, 42, 219, 8, 102, 277, 519, 42, 20, 184, 505, 1063, 1411, 2213, 923, 2021, 1473, 2678, 33, 3197 ]
53
2,593
[ 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0 ]
[ 0, 107, 116, 140, 150, 211, 363, 2121, 2790, 3146, 3237, 3261, 3263, 3400, 4946, 5351, 5383, 5582, 5582, 6812, 7357, 7400, 7406, 7451, 7507, 7557, 7695, 7873, 7961, 8019, 8154, 8429, 8792, 8797, 11695, 11961, 12950, 13331, 17801, 18665, 54667, 54833, 74453, 74561, 74656, 74692, 75080, 75521, 75877, 75944, 77023, 77115, 79001, 80371, 87180, 137655, 141993, 146769, 152556, 161504 ]
3
[ 0, 107, 9, 24, 10, 61, 152, 1758, 669, 356, 91, 24, 2, 137, 1546, 405, 32, 199, 0, 1230, 545, 43, 6, 45, 56, 50, 138, 178, 88, 58, 135, 275, 363, 5, 2898, 266, 989, 381, 4470, 864, 36002, 166, 19620, 108, 95, 36, 388, 441, 356, 67, 1079, 92, 1886, 1370, 6809, 50475, 4338, 4776, 5787, 8948 ]
60
2,594
[ 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0 ]
[ 0, 7, 8, 10, 30, 51, 53, 59, 60, 67, 83, 90, 91, 96, 99, 125, 130, 167, 171, 184, 204, 209, 223, 246, 266, 277, 331, 353, 377, 406, 410, 425, 442, 453, 493, 505, 514, 541, 552, 582, 634, 640, 647, 699, 705, 761, 848, 848, 860, 904, 914, 916, 931, 962, 968, 994, 1026, 1108, 1111, 1271, 1283, 1361, 1421, 1436, 1474, 1551, 1569, 1803, 1894, 1940, 1949, 2054, 2087, 2175, 2233, 2238, 2288, 2355, 2366, 2492, 2795, 2867, 2873, 2908, 2933, 3208, 3327, 3433, 3517, 3528, 3804, 4060, 4067, 4493, 4563, 4967, 5049, 5147, 5220, 5435, 5569, 5631, 5770, 5857, 5992, 6014, 6445, 6487, 6546, 6907, 7317, 7634, 7948, 8038, 8121, 9035, 9233, 9382, 9965, 10351, 10747, 10843, 11398, 12783, 26836, 26935, 28307, 28688, 29564, 30456, 33009, 38278, 38905, 39643, 40366, 40565, 44373, 46741, 47617, 47721, 50561, 54470, 54546, 60246, 63319, 72032, 74527, 83494, 104056, 104056, 107466, 135109, 143897, 145282, 167262, 177067, 191428, 198537, 290369, 291322, 395531, 475499, 489664, 512600 ]
3
[ 0, 7, 1, 2, 20, 21, 2, 6, 1, 7, 16, 7, 1, 5, 3, 26, 5, 37, 4, 13, 20, 5, 14, 23, 20, 11, 54, 22, 24, 29, 4, 15, 17, 11, 40, 12, 9, 27, 11, 30, 52, 6, 7, 52, 6, 56, 87, 0, 12, 44, 10, 2, 15, 31, 6, 26, 32, 82, 3, 160, 12, 78, 60, 15, 38, 77, 18, 234, 91, 46, 9, 105, 33, 88, 58, 5, 50, 67, 11, 126, 303, 72, 6, 35, 25, 275, 119, 106, 84, 11, 276, 256, 7, 426, 70, 404, 82, 98, 73, 215, 134, 62, 139, 87, 135, 22, 431, 42, 59, 361, 410, 317, 314, 90, 83, 914, 198, 149, 583, 386, 396, 96, 555, 1385, 14053, 99, 1372, 381, 876, 892, 2553, 5269, 627, 738, 723, 199, 3808, 2368, 876, 104, 2840, 3909, 76, 5700, 3073, 8713, 2495, 8967, 20562, 0, 3410, 27643, 8788, 1385, 21980, 9805, 14361, 7109, 91832, 953, 104209, 79968, 14165, 22936 ]
164
2,595
[ 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1 ]
[ 0, 7, 8, 15, 18, 23, 24, 45, 47, 50, 57, 64, 68, 73, 77, 80, 85, 90, 93, 96, 97, 99, 103, 107, 111, 176, 199, 218, 220, 244, 253, 265, 272, 294, 299, 422, 503, 512, 516, 578, 693, 694, 717, 801, 1026, 1039, 1067, 1132, 1643, 1793, 1980, 2208, 2660, 2799, 2867, 3230, 5369 ]
3
[ 0, 7, 1, 7, 3, 5, 1, 21, 2, 3, 7, 7, 4, 5, 4, 3, 5, 5, 3, 3, 1, 2, 4, 4, 4, 65, 23, 19, 2, 24, 9, 12, 7, 22, 5, 123, 81, 9, 4, 62, 115, 1, 23, 84, 225, 13, 28, 65, 511, 150, 187, 228, 452, 139, 68, 363, 2139 ]
57
2,596
[ 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1 ]
[ 0, 9, 14, 16, 20, 23, 24, 33, 36, 39, 39, 49, 63, 66, 71, 72, 99, 104, 110, 113, 113, 120, 127, 141, 176, 187, 212, 214, 225, 226, 271, 280, 296, 306, 314, 366, 382, 401, 417, 433, 435, 448, 476, 481, 510, 602, 655, 658, 737, 780, 832, 919, 946, 1016, 1053, 1183, 1231, 1238, 1249, 1250, 1258, 1329, 1350, 1461, 1496, 1721, 1757, 1877, 2021, 2026, 2153, 2310, 2337, 2593, 2627, 2840, 3159, 3453, 4210, 4631, 6124, 7547, 10181, 11964, 19517, 30181, 33259 ]
3
[ 0, 9, 5, 2, 4, 3, 1, 9, 3, 3, 0, 10, 14, 3, 5, 1, 27, 5, 6, 3, 0, 7, 7, 14, 35, 11, 25, 2, 11, 1, 45, 9, 16, 10, 8, 52, 16, 19, 16, 16, 2, 13, 28, 5, 29, 92, 53, 3, 79, 43, 52, 87, 27, 70, 37, 130, 48, 7, 11, 1, 8, 71, 21, 111, 35, 225, 36, 120, 144, 5, 127, 157, 27, 256, 34, 213, 319, 294, 757, 421, 1493, 1423, 2634, 1783, 7553, 10664, 3078 ]
87
2,597
[ 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
[ 0, 14, 28, 30, 31, 31, 31, 34, 37, 49, 53, 59, 78, 84, 85, 87, 88, 95, 97, 119, 120, 120, 128, 128, 129, 142, 148, 154, 160, 162, 164, 167, 169, 176, 189, 191, 195, 201, 228, 239, 248, 250, 252, 257, 261, 289, 294, 303, 334, 334, 342, 363, 421, 424, 428, 436, 458, 459, 472, 505, 560, 577, 625, 651, 669, 670, 685, 718, 891, 914, 919, 921, 925, 990, 999, 1144, 1235, 1250, 1383, 1586, 1621, 1643, 1886, 1923, 1923, 2045, 2107, 2116, 2243, 2294, 2349, 2536, 2536, 2617, 2698, 3187, 3286, 3345, 3355, 3433, 3460, 3537, 3547, 3634, 3929, 4481, 4491, 4502, 4515, 5104, 5676, 5752, 5817, 5931, 6513, 6534, 6934, 7199, 7203, 7499, 7507, 7583, 7918, 7923, 8715, 10318, 11423, 11956, 11976, 12673, 12673, 12831, 13738, 14069, 14140, 17005, 17227, 18975, 19085, 20804, 22681, 23022, 23543, 23945, 24229, 24288, 24494, 25056, 25843, 25859, 26501, 26698, 27537, 28217, 28614, 28825, 29210, 29255, 29826, 30386, 30410, 31118, 31291, 34363, 34365, 34955, 34970, 35963, 36276, 36739, 37848, 39106, 39394, 40200, 43580, 48248, 50945, 51042, 89987, 161358, 161911, 507534 ]
3
[ 0, 14, 14, 2, 1, 0, 0, 3, 3, 12, 4, 6, 19, 6, 1, 2, 1, 7, 2, 22, 1, 0, 8, 0, 1, 13, 6, 6, 6, 2, 2, 3, 2, 7, 13, 2, 4, 6, 27, 11, 9, 2, 2, 5, 4, 28, 5, 9, 31, 0, 8, 21, 58, 3, 4, 8, 22, 1, 13, 33, 55, 17, 48, 26, 18, 1, 15, 33, 173, 23, 5, 2, 4, 65, 9, 145, 91, 15, 133, 203, 35, 22, 243, 37, 0, 122, 62, 9, 127, 51, 55, 187, 0, 81, 81, 489, 99, 59, 10, 78, 27, 77, 10, 87, 295, 552, 10, 11, 13, 589, 572, 76, 65, 114, 582, 21, 400, 265, 4, 296, 8, 76, 335, 5, 792, 1603, 1105, 533, 20, 697, 0, 158, 907, 331, 71, 2865, 222, 1748, 110, 1719, 1877, 341, 521, 402, 284, 59, 206, 562, 787, 16, 642, 197, 839, 680, 397, 211, 385, 45, 571, 560, 24, 708, 173, 3072, 2, 590, 15, 993, 313, 463, 1109, 1258, 288, 806, 3380, 4668, 2697, 97, 38945, 71371, 553, 345623 ]
182
2,598
[ 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 2, 2, 3, 5, 5, 6, 6, 7, 9, 10, 10, 10, 10, 12, 14, 15, 18, 18, 18, 19, 19, 19, 20, 22, 22, 22, 24, 24, 24, 25, 26, 27, 27, 28, 28, 29, 30, 31, 31, 32, 34, 35, 35, 36, 36, 36, 37, 40, 41, 42, 42, 43, 44, 45, 46, 48, 49, 50, 54, 54, 57, 57, 59, 59, 60, 61, 61, 62, 63, 63, 64, 64, 66, 69, 71, 72, 72, 73, 74, 76, 79, 80, 82, 82, 82, 82, 83, 83, 83, 83, 85, 85, 85, 86, 88, 90, 92, 93, 94, 94, 96, 96, 97, 97, 97, 98, 98, 99, 101, 101, 102, 103, 103, 108, 113, 117, 118, 120, 122, 125, 127, 128, 130, 130, 130, 135, 136, 138, 139, 139, 147, 147, 149, 152, 153, 156, 156, 157, 159, 160, 160, 160, 161, 164, 165, 167, 175, 178, 186, 188, 188, 190, 196, 197, 200, 201, 203, 205, 208, 217, 237, 239, 248, 249, 267, 276, 277, 277, 281, 292, 304, 316, 340, 349, 364, 366, 373, 377, 377, 420, 457, 460, 468, 481, 560, 568, 590, 603, 649, 779, 795, 818, 823, 833, 863, 955, 1058, 1124, 1446, 1704, 1743, 2059, 2462, 2641, 2805, 3024, 3037, 3293, 3297, 3485, 3870, 3899, 4211, 4288, 4500, 4758, 4758, 4993, 5140, 5537, 5773, 5860, 6250, 6261, 6345, 8298, 9246, 9708, 9964, 10616, 11128, 11842, 11870, 12881, 19183, 23821, 25310, 25918, 65003, 72598, 75412, 79096, 80976, 81405, 81692, 82502, 82705, 82942, 110587, 115015, 115207, 151966, 247315, 247339 ]
3
[ 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 3, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 3, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 4, 0, 3, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 3, 2, 1, 0, 1, 1, 2, 3, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 5, 5, 4, 1, 2, 2, 3, 2, 1, 2, 0, 0, 5, 1, 2, 1, 0, 8, 0, 2, 3, 1, 3, 0, 1, 2, 1, 0, 0, 1, 3, 1, 2, 8, 3, 8, 2, 0, 2, 6, 1, 3, 1, 2, 2, 3, 9, 20, 2, 9, 1, 18, 9, 1, 0, 4, 11, 12, 12, 24, 9, 15, 2, 7, 4, 0, 43, 37, 3, 8, 13, 79, 8, 22, 13, 46, 130, 16, 23, 5, 10, 30, 92, 103, 66, 322, 258, 39, 316, 403, 179, 164, 219, 13, 256, 4, 188, 385, 29, 312, 77, 212, 258, 0, 235, 147, 397, 236, 87, 390, 11, 84, 1953, 948, 462, 256, 652, 512, 714, 28, 1011, 6302, 4638, 1489, 608, 39085, 7595, 2814, 3684, 1880, 429, 287, 810, 203, 237, 27645, 4428, 192, 36759, 95349, 24 ]
256
2,599
[ 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2 ]