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, 9, 14, 17, 26, 30, 33, 42, 64, 64, 66, 70, 79, 117, 156, 173, 193, 211, 310, 456, 534, 832, 1294, 1718, 3038, 3861, 3926, 3934, 4202, 4231, 4265, 4308, 4367, 4369, 4370, 4382, 4393, 4398, 4426, 4433, 4462, 4468, 4490, 4510, 5562, 7698, 8083, 8268, 43917, 44062, 44093, 44104, 44107, 44117, 44137, 44173, 44206, 44239, 44257, 44318, 44340, 44388, 44461, 44784, 44966, 44966, 45003, 45060, 45446, 45961, 46024, 46148, 46229, 46361, 46573, 46763, 46774, 46796, 46807, 46818, 46834, 46850, 46880, 46889, 46990, 46993, 47074, 47206, 47261, 52052, 53926, 62233, 62258, 62264, 62323, 62339, 62353, 62371, 62401, 62459, 62467, 62561, 62700, 62725, 62740, 63127, 63245, 63563, 63638, 63678, 63727, 63999, 64025, 67345, 73229, 73254, 73283, 73350, 73354, 73364, 73440, 73538, 73595, 73623, 73775, 73819, 73902, 74055, 75324, 75357, 75416, 75443, 75496, 75528, 75536, 75670, 75687, 75711, 75935, 76313, 76418, 76444, 76570, 77231, 79286, 81266, 82486, 82512, 82600, 82748, 82831, 84779, 84812, 84841, 84861, 84899, 84902, 85038, 85566, 85825, 86077, 89693, 89778, 90005, 91392, 91791, 91878, 93636, 93683, 93777, 93803, 93973, 96365, 97271, 97336, 99742, 112428, 119856, 132622, 145494, 145525, 145530, 145568, 145573, 145581, 145591, 145694, 145715, 146443, 146618, 146906, 149435, 149894, 248135, 330763 ]
3
[ 0, 9, 5, 3, 9, 4, 3, 9, 22, 0, 2, 4, 9, 38, 39, 17, 20, 18, 99, 146, 78, 298, 462, 424, 1320, 823, 65, 8, 268, 29, 34, 43, 59, 2, 1, 12, 11, 5, 28, 7, 29, 6, 22, 20, 1052, 2136, 385, 185, 35649, 145, 31, 11, 3, 10, 20, 36, 33, 33, 18, 61, 22, 48, 73, 323, 182, 0, 37, 57, 386, 515, 63, 124, 81, 132, 212, 190, 11, 22, 11, 11, 16, 16, 30, 9, 101, 3, 81, 132, 55, 4791, 1874, 8307, 25, 6, 59, 16, 14, 18, 30, 58, 8, 94, 139, 25, 15, 387, 118, 318, 75, 40, 49, 272, 26, 3320, 5884, 25, 29, 67, 4, 10, 76, 98, 57, 28, 152, 44, 83, 153, 1269, 33, 59, 27, 53, 32, 8, 134, 17, 24, 224, 378, 105, 26, 126, 661, 2055, 1980, 1220, 26, 88, 148, 83, 1948, 33, 29, 20, 38, 3, 136, 528, 259, 252, 3616, 85, 227, 1387, 399, 87, 1758, 47, 94, 26, 170, 2392, 906, 65, 2406, 12686, 7428, 12766, 12872, 31, 5, 38, 5, 8, 10, 103, 21, 728, 175, 288, 2529, 459, 98241, 82628 ]
195
500
[ 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1 ]
[ 0, 10, 11, 12, 21, 21, 22, 23, 23, 25, 27, 28, 29, 29, 30, 32, 35, 36, 38, 38, 41, 45, 99, 100, 102, 105, 106, 111, 112, 118, 120, 125, 152, 156, 172, 198, 291, 397, 426, 435, 442, 515, 553, 661, 824, 835, 1182, 5865, 5878, 6520, 10505 ]
3
[ 0, 10, 1, 1, 9, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 3, 1, 2, 0, 3, 4, 54, 1, 2, 3, 1, 5, 1, 6, 2, 5, 27, 4, 16, 26, 93, 106, 29, 9, 7, 73, 38, 108, 163, 11, 347, 4683, 13, 642, 3985 ]
51
501
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1 ]
[ 0, 15, 19, 19, 32, 33, 35, 36, 38, 43, 45, 45, 46, 50, 51, 53, 67, 68, 74, 79, 82, 83, 85, 87, 99, 101, 106, 111, 120, 120, 121, 141, 154, 169, 174, 185, 222, 295, 313, 378, 382, 447, 610, 636, 650, 686, 798, 934, 975, 1064, 1303, 1392, 1515, 1539, 1606, 1611, 1644, 1934, 2014, 2977, 3405, 3805, 5649, 7281, 148588 ]
3
[ 0, 15, 4, 0, 13, 1, 2, 1, 2, 5, 2, 0, 1, 4, 1, 2, 14, 1, 6, 5, 3, 1, 2, 2, 12, 2, 5, 5, 9, 0, 1, 20, 13, 15, 5, 11, 37, 73, 18, 65, 4, 65, 163, 26, 14, 36, 112, 136, 41, 89, 239, 89, 123, 24, 67, 5, 33, 290, 80, 963, 428, 400, 1844, 1632, 141307 ]
65
502
[ 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 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, 0, 0, 1, 0, 0 ]
[ 0, 9, 9, 12, 17, 22, 22, 24, 28, 30, 31, 36, 39, 53, 56, 61, 68, 73, 73, 81, 85, 86, 86, 87, 94, 99, 100, 109, 113, 114, 114, 115, 124, 132, 148, 177, 181, 183, 184, 188, 193, 196, 208, 208, 213, 214, 215, 216, 219, 222, 245, 249, 250, 259, 262, 266, 267, 276, 278, 286, 318, 329, 360, 362, 368, 375, 386, 391, 404, 404, 406, 415, 445, 468, 478, 485, 512, 532, 555, 560, 564, 594, 599, 603, 616, 642, 703, 711, 717, 728, 746, 757, 780, 783, 966, 991, 1005, 1027, 1031, 1050, 1069, 1093, 1115, 1184, 1248, 1254, 1259, 1263, 1275, 1293, 1301, 1314, 1335, 1346, 1368, 1377, 1418, 1435, 1442, 1478, 1484, 1701, 1756, 1759, 1820, 1824, 1857, 1892, 1895, 1904, 1912, 1961, 1974, 2105, 2141, 2148, 2227, 2251, 2276, 2314, 2376, 2456, 2477, 2510, 2586, 2590, 2629, 2640, 2709, 2790, 3076, 3176, 3195, 3390, 3503, 3514, 3642, 3758, 3782, 3872, 3986, 4044, 4090, 4308, 4518, 4583, 4786, 4883, 4905, 5085, 5125, 5126, 5237, 5296, 5330, 5802, 6139, 6443, 6869, 7171, 7296, 7445, 7699, 7818, 8054, 8298, 8372, 8900, 9011, 9085, 9449, 9651, 9896, 10064, 10132, 10433, 11387, 11419, 11495, 12385, 13118, 13293, 13377, 13865, 14241, 15164, 15305, 15981, 16099, 16294, 19029, 19842, 22868, 23815, 27093, 47578, 50185, 52377, 59843, 94841, 121307, 171767, 174983, 216700, 226403, 350633, 514337 ]
3
[ 0, 9, 0, 3, 5, 5, 0, 2, 4, 2, 1, 5, 3, 14, 3, 5, 7, 5, 0, 8, 4, 1, 0, 1, 7, 5, 1, 9, 4, 1, 0, 1, 9, 8, 16, 29, 4, 2, 1, 4, 5, 3, 12, 0, 5, 1, 1, 1, 3, 3, 23, 4, 1, 9, 3, 4, 1, 9, 2, 8, 32, 11, 31, 2, 6, 7, 11, 5, 13, 0, 2, 9, 30, 23, 10, 7, 27, 20, 23, 5, 4, 30, 5, 4, 13, 26, 61, 8, 6, 11, 18, 11, 23, 3, 183, 25, 14, 22, 4, 19, 19, 24, 22, 69, 64, 6, 5, 4, 12, 18, 8, 13, 21, 11, 22, 9, 41, 17, 7, 36, 6, 217, 55, 3, 61, 4, 33, 35, 3, 9, 8, 49, 13, 131, 36, 7, 79, 24, 25, 38, 62, 80, 21, 33, 76, 4, 39, 11, 69, 81, 286, 100, 19, 195, 113, 11, 128, 116, 24, 90, 114, 58, 46, 218, 210, 65, 203, 97, 22, 180, 40, 1, 111, 59, 34, 472, 337, 304, 426, 302, 125, 149, 254, 119, 236, 244, 74, 528, 111, 74, 364, 202, 245, 168, 68, 301, 954, 32, 76, 890, 733, 175, 84, 488, 376, 923, 141, 676, 118, 195, 2735, 813, 3026, 947, 3278, 20485, 2607, 2192, 7466, 34998, 26466, 50460, 3216, 41717, 9703, 124230, 163704 ]
227
503
[ 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 3, 3, 11, 13, 18, 22, 26, 27, 27, 28, 56, 66, 85, 96, 102, 105, 117, 145, 154, 217, 248, 392, 615, 627, 674, 721, 749, 873, 1141, 1483, 1541, 1630, 1673, 1767, 1786, 1844, 2052, 2434, 3585, 3914, 4472, 5555, 5594, 5682, 5881, 6586, 7064, 7989, 8303, 8472, 8593, 8744, 9280, 9548, 9606, 9641, 11058, 12174, 12404, 12449, 12509, 12705, 12759, 12832, 13940, 13969, 14062, 14499, 14730, 14897, 15720, 15732, 16078, 17940, 18370, 20393, 21435, 23919, 25265, 25967, 30704, 31921, 32212, 32414, 32570, 32603, 32617, 32618, 32618, 32632, 32634, 32637, 32637, 32639, 32639, 32645, 32649, 32650, 32651, 32664, 32667, 32739, 32744, 32758, 32758, 32759, 32769, 32783, 32852, 32871, 32886, 32897, 32923, 32934, 32969, 32988, 33007, 33008, 33070, 33072, 33122, 33147, 33309, 33796, 33992, 34875, 35245, 35762, 35813, 37403, 38139, 39984, 40049, 40931, 41649, 42476, 43722, 43981, 44978, 46259, 46612, 47463, 47490, 48952, 48975, 49022, 49033, 50278, 50563, 50842, 54018, 64651, 65099, 66221, 66433, 67442, 68472, 68564, 70124, 70976, 73624, 86184, 91498, 99856, 106033, 107699, 113149, 129860, 131693, 133839, 134629, 136385, 138040, 141065, 144762, 170034, 197102, 217176, 217473, 220779, 238759, 242120, 243075, 250024, 250443, 272933, 284056, 298969, 299130, 300541, 317919, 324382, 372968, 380096, 414500, 485060, 519796, 549966, 598333 ]
3
[ 0, 3, 0, 8, 2, 5, 4, 4, 1, 0, 1, 28, 10, 19, 11, 6, 3, 12, 28, 9, 63, 31, 144, 223, 12, 47, 47, 28, 124, 268, 342, 58, 89, 43, 94, 19, 58, 208, 382, 1151, 329, 558, 1083, 39, 88, 199, 705, 478, 925, 314, 169, 121, 151, 536, 268, 58, 35, 1417, 1116, 230, 45, 60, 196, 54, 73, 1108, 29, 93, 437, 231, 167, 823, 12, 346, 1862, 430, 2023, 1042, 2484, 1346, 702, 4737, 1217, 291, 202, 156, 33, 14, 1, 0, 14, 2, 3, 0, 2, 0, 6, 4, 1, 1, 13, 3, 72, 5, 14, 0, 1, 10, 14, 69, 19, 15, 11, 26, 11, 35, 19, 19, 1, 62, 2, 50, 25, 162, 487, 196, 883, 370, 517, 51, 1590, 736, 1845, 65, 882, 718, 827, 1246, 259, 997, 1281, 353, 851, 27, 1462, 23, 47, 11, 1245, 285, 279, 3176, 10633, 448, 1122, 212, 1009, 1030, 92, 1560, 852, 2648, 12560, 5314, 8358, 6177, 1666, 5450, 16711, 1833, 2146, 790, 1756, 1655, 3025, 3697, 25272, 27068, 20074, 297, 3306, 17980, 3361, 955, 6949, 419, 22490, 11123, 14913, 161, 1411, 17378, 6463, 48586, 7128, 34404, 70560, 34736, 30170, 48367 ]
200
504
[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0 ]
[ 0, 10, 22, 26, 26, 33, 51, 55, 65, 82, 122, 128, 145, 147, 258, 309, 318, 395, 406, 438, 442, 454, 603, 820, 911, 1171, 1701, 1701, 1734, 1734, 1908, 2065, 2644, 2750, 2846, 2946, 3330, 3716, 3782, 4650, 4937, 5070, 5375, 5443, 6671, 7507, 7779, 7916, 8382, 8665, 9401, 10638, 13191, 16340, 23029, 35417, 54733, 62337, 67864, 69857, 203581 ]
3
[ 0, 10, 12, 4, 0, 7, 18, 4, 10, 17, 40, 6, 17, 2, 111, 51, 9, 77, 11, 32, 4, 12, 149, 217, 91, 260, 530, 0, 33, 0, 174, 157, 579, 106, 96, 100, 384, 386, 66, 868, 287, 133, 305, 68, 1228, 836, 272, 137, 466, 283, 736, 1237, 2553, 3149, 6689, 12388, 19316, 7604, 5527, 1993, 133724 ]
61
505
[ 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0 ]
[ 0, 6, 11, 14, 15, 19, 20, 34, 54, 56, 77, 102, 105, 112, 120, 132, 147, 161, 179, 181, 198, 200, 207, 215, 242, 267, 287, 300, 350, 354, 357, 382, 422, 430, 700, 867, 1010, 1020, 1157, 1385, 2245, 2286, 2481, 2594, 2596, 2677, 2767, 2773, 2890, 3272, 3329, 6682, 6882, 7313, 11465, 12720, 36833 ]
3
[ 0, 6, 5, 3, 1, 4, 1, 14, 20, 2, 21, 25, 3, 7, 8, 12, 15, 14, 18, 2, 17, 2, 7, 8, 27, 25, 20, 13, 50, 4, 3, 25, 40, 8, 270, 167, 143, 10, 137, 228, 860, 41, 195, 113, 2, 81, 90, 6, 117, 382, 57, 3353, 200, 431, 4152, 1255, 24113 ]
57
506
[ 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0 ]
[ 0, 11, 20, 39, 80, 85, 88, 101, 119, 165, 201, 238, 333, 390, 391, 570, 575, 676, 687, 788, 797, 816, 1332, 1348, 1529, 1579, 1621, 1700, 1706, 1743, 1946, 1974, 2053, 2119, 2193, 2333, 2419, 2494, 2517, 2743, 2995, 3153, 3165, 3359, 3452, 3721, 3961, 4023, 4069, 4194, 4718, 4839, 5096, 5190, 5473, 5632, 6029, 6069, 6085, 6276, 6402, 6604, 6647, 7239, 7597, 8559, 8569, 8790, 10168, 12471, 13805, 14962, 15441, 19008, 21001, 22485, 22613, 24254, 24525, 25425, 26066, 29968, 33688, 46646, 82280, 92687, 282789, 380789 ]
3
[ 0, 11, 9, 19, 41, 5, 3, 13, 18, 46, 36, 37, 95, 57, 1, 179, 5, 101, 11, 101, 9, 19, 516, 16, 181, 50, 42, 79, 6, 37, 203, 28, 79, 66, 74, 140, 86, 75, 23, 226, 252, 158, 12, 194, 93, 269, 240, 62, 46, 125, 524, 121, 257, 94, 283, 159, 397, 40, 16, 191, 126, 202, 43, 592, 358, 962, 10, 221, 1378, 2303, 1334, 1157, 479, 3567, 1993, 1484, 128, 1641, 271, 900, 641, 3902, 3720, 12958, 35634, 10407, 190102, 98000 ]
88
507
[ 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 0, 206, 210, 217, 270, 361, 714, 1059, 1901, 1902, 2101, 2518, 3163, 3326, 5335, 7245, 21559, 21756, 22151, 26536, 29815, 34023, 34601, 34705, 36054, 39155, 40590, 41127, 45006, 45954, 51028, 53318, 53900, 53940, 55080, 55160, 58113, 58231, 58450, 58739, 58972, 60172, 62524, 63497, 64663, 69850, 69981, 73872, 76802, 78464, 78872, 79321, 84291, 85988, 105332, 108024, 113501, 116433, 120686, 132394, 132512, 136464, 137041, 166334, 207081 ]
3
[ 0, 0, 206, 4, 7, 53, 91, 353, 345, 842, 1, 199, 417, 645, 163, 2009, 1910, 14314, 197, 395, 4385, 3279, 4208, 578, 104, 1349, 3101, 1435, 537, 3879, 948, 5074, 2290, 582, 40, 1140, 80, 2953, 118, 219, 289, 233, 1200, 2352, 973, 1166, 5187, 131, 3891, 2930, 1662, 408, 449, 4970, 1697, 19344, 2692, 5477, 2932, 4253, 11708, 118, 3952, 577, 29293, 40747 ]
66
508
[ 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1 ]
[ 0, 6, 9, 11, 12, 15, 16, 17, 22, 25, 25, 27, 27, 29, 30, 32, 32, 33, 33, 38, 41, 43, 49, 53, 56, 56, 57, 62, 64, 70, 73, 75, 79, 82, 89, 90, 104, 107, 107, 107, 108, 108, 113, 121, 123, 128, 132, 133, 137, 137, 144, 154, 156, 162, 175, 189, 192, 195, 204, 205, 208, 209, 223, 224, 227, 227, 232, 241, 245, 246, 247, 248, 248, 249, 251, 276, 295, 296, 301, 318, 319, 325, 367, 376, 401, 505, 520, 595, 822, 914, 924, 934, 943, 960, 996, 1027, 1127, 1129, 1146, 1153, 1289, 1362, 1530, 1614, 1683, 1894, 1923, 1976, 2072, 2996, 3013, 3139, 3260, 3280, 3665, 3760, 4270, 4326, 4781, 4942, 4945, 6189, 6547, 7142, 7239, 7570, 8144, 8619, 9741, 9998, 10550, 12467, 13293, 14194, 14786, 15976, 16665, 20714, 41341, 55501, 63439, 68851, 79943, 315801, 347244 ]
3
[ 0, 6, 3, 2, 1, 3, 1, 1, 5, 3, 0, 2, 0, 2, 1, 2, 0, 1, 0, 5, 3, 2, 6, 4, 3, 0, 1, 5, 2, 6, 3, 2, 4, 3, 7, 1, 14, 3, 0, 0, 1, 0, 5, 8, 2, 5, 4, 1, 4, 0, 7, 10, 2, 6, 13, 14, 3, 3, 9, 1, 3, 1, 14, 1, 3, 0, 5, 9, 4, 1, 1, 1, 0, 1, 2, 25, 19, 1, 5, 17, 1, 6, 42, 9, 25, 104, 15, 75, 227, 92, 10, 10, 9, 17, 36, 31, 100, 2, 17, 7, 136, 73, 168, 84, 69, 211, 29, 53, 96, 924, 17, 126, 121, 20, 385, 95, 510, 56, 455, 161, 3, 1244, 358, 595, 97, 331, 574, 475, 1122, 257, 552, 1917, 826, 901, 592, 1190, 689, 4049, 20627, 14160, 7938, 5412, 11092, 235858, 31443 ]
145
509
[ 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2 ]
[ 0, 3, 3, 5, 5, 11, 11, 12, 14, 16, 16, 17, 18, 19, 22, 25, 25, 27, 27, 28, 29, 32, 32, 34, 35, 35, 39, 40, 44, 48, 49, 50, 52, 56, 61, 62, 66, 69, 69, 71, 71, 74, 77, 80, 82, 84, 85, 85, 88, 93, 93, 102, 104, 107, 110, 118, 120, 126, 132, 134, 137, 142, 164, 174, 178, 179, 182, 184, 197, 198, 203, 209, 216, 218, 233, 263, 303, 319, 321, 322, 359, 359, 366, 410, 468, 473, 494, 526, 557, 580, 722, 775, 779, 795, 864, 962, 1247, 1298, 1386, 1431, 2098, 2167, 2385, 2404, 2537, 3223, 3261, 3506, 3574, 3594, 3602, 3769, 3789, 3828, 3992, 4310, 4571, 4729, 4836, 4857, 4980, 5222, 5282, 5358, 5442, 5743, 5744, 5754, 5759, 5767, 5772, 5776, 5778, 5779, 5779, 5782, 5784, 5790, 5791, 5796, 5796, 5801, 5818, 5821, 5824, 5827, 5829, 5830, 5836, 5840, 5843, 5849, 5852, 5856, 5869, 5873, 5887, 5888, 5961, 5963, 5991, 6060, 6379, 6503, 6611, 7211, 7614, 18227, 18685, 18883, 19319, 19322, 19337, 21592, 25262, 27803, 49341, 54099, 63249, 63471, 70915, 82670, 82697, 82700, 82710, 82714, 82715, 82718, 82720, 82722, 82726, 82728, 82734, 82738, 82742, 82748, 82749, 82749, 82757, 82761, 82767, 82767, 82784, 82788, 82847, 82858, 82889, 82893, 82926, 82937, 82968, 82971, 82989, 83000, 83114, 83202, 83918, 84008, 84025, 84105, 85549, 85978, 86803, 87556, 97614, 103731, 108570, 144431, 154662, 160581, 191100, 231531, 571567 ]
3
[ 0, 3, 0, 2, 0, 6, 0, 1, 2, 2, 0, 1, 1, 1, 3, 3, 0, 2, 0, 1, 1, 3, 0, 2, 1, 0, 4, 1, 4, 4, 1, 1, 2, 4, 5, 1, 4, 3, 0, 2, 0, 3, 3, 3, 2, 2, 1, 0, 3, 5, 0, 9, 2, 3, 3, 8, 2, 6, 6, 2, 3, 5, 22, 10, 4, 1, 3, 2, 13, 1, 5, 6, 7, 2, 15, 30, 40, 16, 2, 1, 37, 0, 7, 44, 58, 5, 21, 32, 31, 23, 142, 53, 4, 16, 69, 98, 285, 51, 88, 45, 667, 69, 218, 19, 133, 686, 38, 245, 68, 20, 8, 167, 20, 39, 164, 318, 261, 158, 107, 21, 123, 242, 60, 76, 84, 301, 1, 10, 5, 8, 5, 4, 2, 1, 0, 3, 2, 6, 1, 5, 0, 5, 17, 3, 3, 3, 2, 1, 6, 4, 3, 6, 3, 4, 13, 4, 14, 1, 73, 2, 28, 69, 319, 124, 108, 600, 403, 10613, 458, 198, 436, 3, 15, 2255, 3670, 2541, 21538, 4758, 9150, 222, 7444, 11755, 27, 3, 10, 4, 1, 3, 2, 2, 4, 2, 6, 4, 4, 6, 1, 0, 8, 4, 6, 0, 17, 4, 59, 11, 31, 4, 33, 11, 31, 3, 18, 11, 114, 88, 716, 90, 17, 80, 1444, 429, 825, 753, 10058, 6117, 4839, 35861, 10231, 5919, 30519, 40431, 340036 ]
233
510
[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 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, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0 ]
[ 0, 15, 24, 28, 39, 45, 57, 78, 80, 90, 113, 114, 127, 127, 140, 145, 150, 160, 164, 165, 168, 168, 169, 171, 173, 190, 191, 192, 203, 203, 207, 208, 231, 233, 236, 242, 248, 253, 264, 265, 269, 275, 278, 328, 348, 362, 388, 440, 487, 552, 792, 855, 873, 896, 913, 948, 973, 996, 997, 1030, 1037, 1120, 1124, 1265, 1311, 1403, 2489, 2531, 2671, 2751, 2769, 3009, 3553, 3995, 4042, 4370, 4602, 4726, 5707, 5858, 6841, 7426, 16490, 33944, 44845, 50480, 57668, 178643 ]
3
[ 0, 15, 9, 4, 11, 6, 12, 21, 2, 10, 23, 1, 13, 0, 13, 5, 5, 10, 4, 1, 3, 0, 1, 2, 2, 17, 1, 1, 11, 0, 4, 1, 23, 2, 3, 6, 6, 5, 11, 1, 4, 6, 3, 50, 20, 14, 26, 52, 47, 65, 240, 63, 18, 23, 17, 35, 25, 23, 1, 33, 7, 83, 4, 141, 46, 92, 1086, 42, 140, 80, 18, 240, 544, 442, 47, 328, 232, 124, 981, 151, 983, 585, 9064, 17454, 10901, 5635, 7188, 120975 ]
88
511
[ 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0 ]
[ 0, 0, 0, 2, 4, 5, 9, 10, 10, 10, 11, 11, 11, 11, 13, 13, 14, 14, 18, 19, 21, 21, 22, 23, 25, 25, 26, 27, 28, 29, 29, 30, 30, 31, 32, 33, 35, 35, 35, 36, 37, 37, 37, 38, 40, 40, 41, 41, 41, 42, 42, 44, 44, 46, 46, 46, 47, 48, 48, 50, 51, 52, 52, 53, 53, 53, 54, 54, 55, 55, 58, 113, 117, 118, 125, 129, 129, 130, 132, 132, 135, 135, 135, 137, 144, 146, 147, 149, 149, 150, 154, 161, 161, 164, 167, 170, 176, 178, 181, 181, 182, 194, 194, 210, 215, 224, 227, 234, 250, 252, 252, 255, 263, 325, 330, 336, 346, 346, 347, 356, 379, 393, 402, 433, 442, 592, 601, 619, 661, 666, 746, 753, 775, 789, 924, 998, 1020, 1177, 1376, 1421, 1556, 1838, 2577, 2677, 2787, 3037, 3406, 3428, 3888, 4049, 4097, 5272, 5313, 5481, 8994, 9045, 10858, 13013, 13191, 16940, 23813, 50410, 68186, 72781, 85394, 86682, 87892, 89976, 91640, 150792, 186822, 350444 ]
3
[ 0, 0, 0, 2, 2, 1, 4, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 4, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 3, 55, 4, 1, 7, 4, 0, 1, 2, 0, 3, 0, 0, 2, 7, 2, 1, 2, 0, 1, 4, 7, 0, 3, 3, 3, 6, 2, 3, 0, 1, 12, 0, 16, 5, 9, 3, 7, 16, 2, 0, 3, 8, 62, 5, 6, 10, 0, 1, 9, 23, 14, 9, 31, 9, 150, 9, 18, 42, 5, 80, 7, 22, 14, 135, 74, 22, 157, 199, 45, 135, 282, 739, 100, 110, 250, 369, 22, 460, 161, 48, 1175, 41, 168, 3513, 51, 1813, 2155, 178, 3749, 6873, 26597, 17776, 4595, 12613, 1288, 1210, 2084, 1664, 59152, 36030, 163622 ]
172
512
[ 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1 ]
[ 0, 5, 10, 13, 15, 17, 17, 24, 30, 30, 31, 31, 34, 36, 49, 60, 67, 86, 99, 108, 108, 113, 136, 165, 187, 192, 193, 213, 243, 269, 301, 303, 315, 323, 390, 394, 486, 518, 526, 568, 575, 626, 648, 651, 662, 692, 730, 844, 914, 949, 1067, 1399, 1724, 1921, 2093, 2238, 2359, 2661, 2878, 2943, 3099, 3288, 3572, 5551, 5561, 8849, 9533, 10288, 10460, 13081, 13187, 23847, 30669, 34015, 34131, 34221, 34292, 34559, 35057, 35131, 35435, 42838, 46275, 56621, 56621 ]
3
[ 0, 5, 5, 3, 2, 2, 0, 7, 6, 0, 1, 0, 3, 2, 13, 11, 7, 19, 13, 9, 0, 5, 23, 29, 22, 5, 1, 20, 30, 26, 32, 2, 12, 8, 67, 4, 92, 32, 8, 42, 7, 51, 22, 3, 11, 30, 38, 114, 70, 35, 118, 332, 325, 197, 172, 145, 121, 302, 217, 65, 156, 189, 284, 1979, 10, 3288, 684, 755, 172, 2621, 106, 10660, 6822, 3346, 116, 90, 71, 267, 498, 74, 304, 7403, 3437, 10346, 0 ]
85
513
[ 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0 ]
[ 0, 3, 6, 31, 33, 50, 53, 54, 56, 57, 57, 70, 75, 105, 110, 111, 116, 146, 192, 219, 222, 288, 292, 296, 359, 372, 392, 434, 527, 558, 581, 592, 637, 757, 888, 956, 1083, 1117, 1121, 1197, 1206, 1343, 1412, 1507, 1507, 1531, 1531, 1922, 2225, 2283, 2563, 2575, 2911, 2941, 3057, 3061, 3189, 3326, 3337, 3366, 3669, 3696, 4047, 4684, 5153, 6264, 8136, 9270, 9352, 9943, 10533, 11529, 12043, 12227, 12794, 14939, 15389, 15759, 25771, 421009 ]
3
[ 0, 3, 3, 25, 2, 17, 3, 1, 2, 1, 0, 13, 5, 30, 5, 1, 5, 30, 46, 27, 3, 66, 4, 4, 63, 13, 20, 42, 93, 31, 23, 11, 45, 120, 131, 68, 127, 34, 4, 76, 9, 137, 69, 95, 0, 24, 0, 391, 303, 58, 280, 12, 336, 30, 116, 4, 128, 137, 11, 29, 303, 27, 351, 637, 469, 1111, 1872, 1134, 82, 591, 590, 996, 514, 184, 567, 2145, 450, 370, 10012, 395238 ]
80
514
[ 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0 ]
[ 0, 34, 39, 54, 71, 168, 176, 346, 554, 627, 795, 881, 1096, 1258, 1333, 1657, 1806, 1809, 1835, 1996, 2003, 2051, 2183, 2195, 2408, 2514, 2514, 2601, 2831, 3036, 3279, 3386, 4508, 4805, 4844, 4879, 5373, 5649, 5878, 6221, 6383, 6580, 6970, 6971, 7320, 7542, 7564, 7888, 8432, 8492, 8600, 8657, 8666, 8971, 8998, 9180, 9459, 9509, 10300, 10329, 11495, 13769, 15712, 16265, 16631, 19524, 19715, 19781, 19998, 22696, 25171, 27039, 74949 ]
3
[ 0, 34, 5, 15, 17, 97, 8, 170, 208, 73, 168, 86, 215, 162, 75, 324, 149, 3, 26, 161, 7, 48, 132, 12, 213, 106, 0, 87, 230, 205, 243, 107, 1122, 297, 39, 35, 494, 276, 229, 343, 162, 197, 390, 1, 349, 222, 22, 324, 544, 60, 108, 57, 9, 305, 27, 182, 279, 50, 791, 29, 1166, 2274, 1943, 553, 366, 2893, 191, 66, 217, 2698, 2475, 1868, 47910 ]
73
515
[ 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0 ]
[ 0, 12, 26, 33, 60, 75, 91, 100, 111, 124, 125, 135, 138, 144, 150, 242, 258, 266, 273, 277, 287, 291, 295, 295, 296, 296, 296, 297, 299, 300, 301, 301, 305, 307, 307, 308, 309, 309, 314, 315, 315, 315, 315, 316, 316, 319, 320, 321, 322, 323, 324, 324, 326, 327, 330, 332, 333, 333, 333, 335, 335, 337, 337, 339, 339, 341, 344, 344, 349, 352, 354, 360, 361, 362, 362, 373, 375, 375, 377, 387, 389, 390, 399, 401, 402, 402, 403, 407, 408, 411, 412, 420, 431, 447, 453, 481, 488, 506, 532, 551, 553, 687, 691, 704, 755, 848, 962, 1561, 9692, 65120, 77353, 81655, 134713, 135691, 143479, 276283, 309410, 489781 ]
3
[ 0, 12, 14, 7, 27, 15, 16, 9, 11, 13, 1, 10, 3, 6, 6, 92, 16, 8, 7, 4, 10, 4, 4, 0, 1, 0, 0, 1, 2, 1, 1, 0, 4, 2, 0, 1, 1, 0, 5, 1, 0, 0, 0, 1, 0, 3, 1, 1, 1, 1, 1, 0, 2, 1, 3, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 3, 0, 5, 3, 2, 6, 1, 1, 0, 11, 2, 0, 2, 10, 2, 1, 9, 2, 1, 0, 1, 4, 1, 3, 1, 8, 11, 16, 6, 28, 7, 18, 26, 19, 2, 134, 4, 13, 51, 93, 114, 599, 8131, 55428, 12233, 4302, 53058, 978, 7788, 132804, 33127, 180371 ]
118
516
[ 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0 ]
[ 0, 5, 7, 10, 13, 13, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 23, 24, 25, 25, 26, 27, 28, 30, 30, 30, 31, 32, 32, 33, 34, 35, 36, 36, 36, 37, 38, 39, 40, 40, 40, 41, 43, 45, 46, 47, 47, 48, 49, 49, 51, 52, 52, 54, 54, 54, 55, 56, 56, 60, 60, 61, 62, 62, 62, 62, 63, 64, 65, 65, 66, 67, 67, 68, 68, 68, 69, 71, 72, 73, 75, 76, 76, 77, 79, 81, 81, 82, 82, 83, 87, 88, 89, 89, 90, 91, 91, 96, 98, 98, 98, 101, 102, 102, 102, 102, 106, 108, 109, 110, 110, 112, 113, 114, 115, 116, 116, 117, 119, 119, 121, 123, 125, 129, 136, 137, 138, 141, 142, 148, 149, 155, 159, 160, 164, 165, 166, 170, 170, 171, 172, 172, 175, 182, 182, 185, 191, 192, 195, 204, 206, 206, 213, 213, 214, 226, 226, 235, 236, 238, 252, 258, 269, 269, 275, 293, 296, 300, 305, 320, 332, 340, 347, 354, 359, 371, 373, 385, 387, 424, 438, 455, 456, 467, 472, 473, 499, 512, 524, 546, 557, 674, 689, 757, 771, 870, 889, 1017, 1245, 1332, 1353, 1391, 1516, 1772, 1817, 1852, 1906, 1930, 1939, 2011, 2044, 2394, 2450, 2592, 2961, 3689, 3750, 3981, 4024, 4178, 4961, 4967, 7190, 7414, 7516, 7677, 8478, 11454, 12609, 13436, 15908, 16020, 20369, 20940, 21055, 21459, 21502, 26356, 27583, 28369, 32133, 33106, 83481, 87686, 94329, 114492, 170286, 171324, 172299, 197346, 303097, 448805, 522753 ]
3
[ 0, 5, 2, 3, 3, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 6, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 4, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 4, 1, 1, 0, 1, 1, 0, 5, 2, 0, 0, 3, 1, 0, 0, 0, 4, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 4, 7, 1, 1, 3, 1, 6, 1, 6, 4, 1, 4, 1, 1, 4, 0, 1, 1, 0, 3, 7, 0, 3, 6, 1, 3, 9, 2, 0, 7, 0, 1, 12, 0, 9, 1, 2, 14, 6, 11, 0, 6, 18, 3, 4, 5, 15, 12, 8, 7, 7, 5, 12, 2, 12, 2, 37, 14, 17, 1, 11, 5, 1, 26, 13, 12, 22, 11, 117, 15, 68, 14, 99, 19, 128, 228, 87, 21, 38, 125, 256, 45, 35, 54, 24, 9, 72, 33, 350, 56, 142, 369, 728, 61, 231, 43, 154, 783, 6, 2223, 224, 102, 161, 801, 2976, 1155, 827, 2472, 112, 4349, 571, 115, 404, 43, 4854, 1227, 786, 3764, 973, 50375, 4205, 6643, 20163, 55794, 1038, 975, 25047, 105751, 145708, 73948 ]
254
517
[ 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1 ]
[ 0, 92, 100, 110, 211, 363, 591, 786, 972, 989, 1875, 2224, 2230, 2343, 3260, 4094, 4303, 4576, 4598, 4610, 4722, 5056, 5137, 5166, 5218, 5219, 5295, 5400, 5641, 6153, 6875, 7211, 7253, 7433, 7901, 7986, 8000, 8082, 8100, 8328, 8328, 8798, 9141, 9309, 9929, 9939, 10593, 10596, 10682, 10817, 11010, 11255, 11877, 12057, 13159, 13205, 13534, 14417, 14809, 15708, 20496, 22360, 26020, 27003, 28064, 28193, 28210, 29506, 29706, 51528, 59536, 387447 ]
3
[ 0, 92, 8, 10, 101, 152, 228, 195, 186, 17, 886, 349, 6, 113, 917, 834, 209, 273, 22, 12, 112, 334, 81, 29, 52, 1, 76, 105, 241, 512, 722, 336, 42, 180, 468, 85, 14, 82, 18, 228, 0, 470, 343, 168, 620, 10, 654, 3, 86, 135, 193, 245, 622, 180, 1102, 46, 329, 883, 392, 899, 4788, 1864, 3660, 983, 1061, 129, 17, 1296, 200, 21822, 8008, 327911 ]
72
518
[ 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0 ]
[ 0, 2, 5, 6, 12, 19, 34, 48, 50, 53, 55, 56, 57, 71, 88, 98, 102, 113, 117, 120, 143, 151, 152, 164, 182, 186, 193, 206, 218, 249, 270, 277, 284, 327, 352, 390, 403, 425, 429, 452, 504, 547, 583, 587, 607, 616, 618, 629, 638, 707, 961, 973, 976, 982, 995, 1007, 1010, 1202, 1278, 1296, 1344, 1424, 1470, 1471, 1493, 1702, 1786, 1840, 1921, 1941, 2130, 2177, 2344, 2361, 2372, 2454, 2489, 2552, 2561, 2584, 2671, 2775, 2850, 2905, 3249, 3323, 3382, 3883, 4034, 4048, 4151, 4522, 4693, 4708, 4856, 5072, 5325, 5456, 5463, 5507, 5629, 6018, 8444, 8450, 9289, 9937, 9968, 10901, 11435, 12740, 13880, 14672, 15754, 16529, 16606, 18370, 18980, 19081, 19110, 21865, 22549, 23506, 24656, 24862, 29167, 29428, 31132, 35470, 43523, 56239, 71182, 79000, 94532, 232166, 232248, 602379 ]
3
[ 0, 2, 3, 1, 6, 7, 15, 14, 2, 3, 2, 1, 1, 14, 17, 10, 4, 11, 4, 3, 23, 8, 1, 12, 18, 4, 7, 13, 12, 31, 21, 7, 7, 43, 25, 38, 13, 22, 4, 23, 52, 43, 36, 4, 20, 9, 2, 11, 9, 69, 254, 12, 3, 6, 13, 12, 3, 192, 76, 18, 48, 80, 46, 1, 22, 209, 84, 54, 81, 20, 189, 47, 167, 17, 11, 82, 35, 63, 9, 23, 87, 104, 75, 55, 344, 74, 59, 501, 151, 14, 103, 371, 171, 15, 148, 216, 253, 131, 7, 44, 122, 389, 2426, 6, 839, 648, 31, 933, 534, 1305, 1140, 792, 1082, 775, 77, 1764, 610, 101, 29, 2755, 684, 957, 1150, 206, 4305, 261, 1704, 4338, 8053, 12716, 14943, 7818, 15532, 137634, 82, 370131 ]
136
519
[ 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0 ]
[ 0, 6, 7, 10, 25, 56, 66, 93, 94, 104, 107, 108, 117, 140, 149, 174, 179, 201, 272, 368, 374, 378, 450, 455, 754, 1014, 1023, 1046, 1081, 1130, 1544, 4792, 4989, 5022, 5046, 5059, 5063, 5063, 5076, 5092, 5109, 5113, 5129, 5140, 5159, 5214, 5222, 5264, 5311, 5313, 5367, 5478, 5513, 5526, 5580, 5843, 5893, 6083, 6676, 7001, 8005, 8759, 9858, 11383, 11750, 16895, 17614, 20037, 82605, 211621 ]
3
[ 0, 6, 1, 3, 15, 31, 10, 27, 1, 10, 3, 1, 9, 23, 9, 25, 5, 22, 71, 96, 6, 4, 72, 5, 299, 260, 9, 23, 35, 49, 414, 3248, 197, 33, 24, 13, 4, 0, 13, 16, 17, 4, 16, 11, 19, 55, 8, 42, 47, 2, 54, 111, 35, 13, 54, 263, 50, 190, 593, 325, 1004, 754, 1099, 1525, 367, 5145, 719, 2423, 62568, 129016 ]
70
520
[ 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0 ]
[ 0, 26, 31, 31, 58, 92, 101, 167, 173, 186, 274, 289, 305, 308, 375, 384, 436, 523, 536, 628, 681, 850, 890, 1060, 1187, 1353, 1403, 1775, 1833, 2014, 2142, 2449, 3476, 3791, 3867, 3919, 3981, 4461, 5039, 5113, 6709, 6836, 7058, 8141, 8337, 8634, 8797, 10217, 10356, 10482, 10579, 11814, 11979, 12021, 12056, 14667, 15739, 17548, 17766, 26755, 31607, 31828, 35597, 39178, 64539, 92260, 193312, 250158, 250632, 355035, 356297, 389144 ]
3
[ 0, 26, 5, 0, 27, 34, 9, 66, 6, 13, 88, 15, 16, 3, 67, 9, 52, 87, 13, 92, 53, 169, 40, 170, 127, 166, 50, 372, 58, 181, 128, 307, 1027, 315, 76, 52, 62, 480, 578, 74, 1596, 127, 222, 1083, 196, 297, 163, 1420, 139, 126, 97, 1235, 165, 42, 35, 2611, 1072, 1809, 218, 8989, 4852, 221, 3769, 3581, 25361, 27721, 101052, 56846, 474, 104403, 1262, 32847 ]
72
521
[ 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, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 3, 11, 13, 15, 25, 25, 30, 71, 72, 92, 103, 106, 108, 132, 135, 140, 149, 157, 169, 258, 265, 277, 295, 295, 308, 320, 327, 334, 358, 414, 440, 565, 571, 627, 634, 660, 850, 917, 931, 1413, 1960, 3237, 3341, 3798, 7682, 7894, 9853, 10320, 20562, 20659, 39637, 41496, 44391, 44958, 45822, 48920, 53375, 56749, 62276, 70861, 79625, 84973, 91169, 92143, 93009, 93408, 93981, 94048, 94064, 94079, 94096, 94117, 94119, 94333, 94591, 94714, 94853, 95194, 95279, 95381, 95582, 95584, 95921, 100284, 100649, 101011, 102417, 103656, 104196, 105205, 106700, 107222, 107451, 107477, 107489, 107619, 108028, 108398, 164342, 174086, 174334, 177310, 187795, 196009, 196009, 224947, 245435, 245949, 246002, 259017, 262361, 274577, 274857, 275463, 275728, 275934, 276467, 276908, 276915, 277206, 277803, 315150, 353094, 359669, 361106, 377929, 406248, 411706, 428684, 428828, 429455, 435123, 436812, 438358, 438878, 450274, 485414, 503271, 503319, 504373, 508199, 508258, 510048, 522406, 534384, 535272, 553337, 592904, 593025 ]
3
[ 0, 3, 8, 2, 2, 10, 0, 5, 41, 1, 20, 11, 3, 2, 24, 3, 5, 9, 8, 12, 89, 7, 12, 18, 0, 13, 12, 7, 7, 24, 56, 26, 125, 6, 56, 7, 26, 190, 67, 14, 482, 547, 1277, 104, 457, 3884, 212, 1959, 467, 10242, 97, 18978, 1859, 2895, 567, 864, 3098, 4455, 3374, 5527, 8585, 8764, 5348, 6196, 974, 866, 399, 573, 67, 16, 15, 17, 21, 2, 214, 258, 123, 139, 341, 85, 102, 201, 2, 337, 4363, 365, 362, 1406, 1239, 540, 1009, 1495, 522, 229, 26, 12, 130, 409, 370, 55944, 9744, 248, 2976, 10485, 8214, 0, 28938, 20488, 514, 53, 13015, 3344, 12216, 280, 606, 265, 206, 533, 441, 7, 291, 597, 37347, 37944, 6575, 1437, 16823, 28319, 5458, 16978, 144, 627, 5668, 1689, 1546, 520, 11396, 35140, 17857, 48, 1054, 3826, 59, 1790, 12358, 11978, 888, 18065, 39567, 121 ]
150
522
[ 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1 ]
[ 0, 8, 15, 25, 31, 33, 44, 55, 65, 76, 86, 91, 96, 113, 124, 150, 164, 175, 200, 204, 208, 259, 266, 283, 304, 314, 340, 359, 476, 505, 906, 938, 1085, 1519, 2644, 2798, 2908, 5658, 8438, 8822, 8835, 8854, 8917, 9436, 11358, 12341, 12663, 15692, 21811, 24108, 30942, 54331, 55997, 60746, 81843, 88393, 94620, 173042, 305813 ]
3
[ 0, 8, 7, 10, 6, 2, 11, 11, 10, 11, 10, 5, 5, 17, 11, 26, 14, 11, 25, 4, 4, 51, 7, 17, 21, 10, 26, 19, 117, 29, 401, 32, 147, 434, 1125, 154, 110, 2750, 2780, 384, 13, 19, 63, 519, 1922, 983, 322, 3029, 6119, 2297, 6834, 23389, 1666, 4749, 21097, 6550, 6227, 78422, 132771 ]
59
523
[ 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1 ]
[ 0, 8, 12, 16, 18, 25, 25, 25, 26, 26, 27, 27, 29, 30, 31, 34, 36, 36, 38, 39, 42, 43, 53, 63, 63, 66, 74, 77, 78, 78, 80, 80, 81, 84, 84, 87, 88, 92, 93, 114, 127, 140, 143, 150, 155, 155, 158, 177, 203, 217, 220, 227, 248, 262, 282, 295, 313, 320, 347, 357, 413, 414, 471, 491, 621, 703, 727, 743, 746, 748, 753, 768, 791, 929, 1399, 1546, 1548, 1995, 2287, 2543, 6562, 7528, 37767, 70328, 72565, 94789, 149619, 160344, 433807 ]
3
[ 0, 8, 4, 4, 2, 7, 0, 0, 1, 0, 1, 0, 2, 1, 1, 3, 2, 0, 2, 1, 3, 1, 10, 10, 0, 3, 8, 3, 1, 0, 2, 0, 1, 3, 0, 3, 1, 4, 1, 21, 13, 13, 3, 7, 5, 0, 3, 19, 26, 14, 3, 7, 21, 14, 20, 13, 18, 7, 27, 10, 56, 1, 57, 20, 130, 82, 24, 16, 3, 2, 5, 15, 23, 138, 470, 147, 2, 447, 292, 256, 4019, 966, 30239, 32561, 2237, 22224, 54830, 10725, 273463 ]
89
524
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1 ]
[ 0, 5, 11, 26, 30, 48, 49, 50, 61, 62, 64, 65, 85, 96, 119, 127, 224, 229, 281, 393, 402, 635, 851, 1236, 1392, 1849, 10960, 11458, 11904, 18554, 18554, 20195, 20329, 21789, 25576, 31262, 36338, 37257, 37355, 37863, 39073, 44226, 48347, 51295, 52623, 56108, 56153, 67957, 67968, 69422, 69974, 72605, 76276, 76321, 76635, 76635, 77063, 78023, 80375, 90929, 91094, 91657, 92040, 92675, 92694, 92928, 93648, 93854, 94328, 94579, 94677, 94868, 95043, 95469, 97506, 97798, 109318, 127849, 128463, 128545, 129983, 130143, 132539, 134726, 137639, 142604, 144301, 147627, 157580, 159298, 161671, 176211, 197195, 200389, 208532, 210460, 219332, 219357, 220181, 226262, 254705, 415686, 503996, 572016 ]
3
[ 0, 5, 6, 15, 4, 18, 1, 1, 11, 1, 2, 1, 20, 11, 23, 8, 97, 5, 52, 112, 9, 233, 216, 385, 156, 457, 9111, 498, 446, 6650, 0, 1641, 134, 1460, 3787, 5686, 5076, 919, 98, 508, 1210, 5153, 4121, 2948, 1328, 3485, 45, 11804, 11, 1454, 552, 2631, 3671, 45, 314, 0, 428, 960, 2352, 10554, 165, 563, 383, 635, 19, 234, 720, 206, 474, 251, 98, 191, 175, 426, 2037, 292, 11520, 18531, 614, 82, 1438, 160, 2396, 2187, 2913, 4965, 1697, 3326, 9953, 1718, 2373, 14540, 20984, 3194, 8143, 1928, 8872, 25, 824, 6081, 28443, 160981, 88310, 68020 ]
104
525
[ 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0 ]
[ 0, 9, 20, 44, 47, 70, 83, 90, 115, 158, 161, 243, 248, 297, 315, 382, 962, 962, 1183, 1243, 1594, 1615, 1861, 2104, 2544, 3749, 5139, 5287, 8349, 11830, 12577, 14044, 20523, 21090, 21836, 22035, 24320, 24624, 24954, 26065, 26372, 27180, 29302, 31630, 36086, 44974, 46912, 47362, 47479, 48808, 51226, 69022, 87084, 87432, 157325, 519165 ]
3
[ 0, 9, 11, 24, 3, 23, 13, 7, 25, 43, 3, 82, 5, 49, 18, 67, 580, 0, 221, 60, 351, 21, 246, 243, 440, 1205, 1390, 148, 3062, 3481, 747, 1467, 6479, 567, 746, 199, 2285, 304, 330, 1111, 307, 808, 2122, 2328, 4456, 8888, 1938, 450, 117, 1329, 2418, 17796, 18062, 348, 69893, 361840 ]
56
526
[ 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1 ]
[ 0, 1, 8, 9, 10, 17, 19, 19, 25, 33, 43, 46, 49, 50, 57, 69, 73, 74, 79, 86, 87, 95, 97, 101, 120, 130, 134, 137, 138, 139, 141, 142, 145, 220, 287, 290, 357, 360, 370, 419, 420, 442, 468, 550, 1205, 1518, 1583, 1711, 1765, 2535, 4811, 25215, 25521, 26956, 39517, 43630, 49255, 176384, 227751, 501500 ]
3
[ 0, 1, 7, 1, 1, 7, 2, 0, 6, 8, 10, 3, 3, 1, 7, 12, 4, 1, 5, 7, 1, 8, 2, 4, 19, 10, 4, 3, 1, 1, 2, 1, 3, 75, 67, 3, 67, 3, 10, 49, 1, 22, 26, 82, 655, 313, 65, 128, 54, 770, 2276, 20404, 306, 1435, 12561, 4113, 5625, 127129, 51367, 273749 ]
60
527
[ 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1 ]
[ 0, 3, 8, 9, 12, 13, 15, 16, 20, 25, 88, 92, 99, 99, 102, 109, 113, 113, 116, 126, 126, 132, 136, 137, 137, 138, 141, 144, 150, 152, 164, 169, 178, 178, 181, 186, 193, 199, 205, 207, 209, 217, 227, 246, 258, 261, 266, 270, 294, 301, 306, 389, 414, 456, 476, 494, 507, 581, 583, 585, 586, 589, 602, 607, 645, 657, 677, 682, 689, 695, 729, 735, 830, 856, 901, 918, 930, 937, 1014, 1032, 1049, 1168, 1168, 1207, 1259, 1349, 1355, 1371, 1396, 1480, 1596, 1600, 1607, 1837, 1870, 1899, 2098, 2600, 2704, 2855, 2993, 3104, 3245, 3274, 3512, 3714, 3732, 4254, 4586, 4586, 4587, 5621, 5976, 6098, 6101, 6718, 6988, 7035, 7278, 7536, 7561, 7857, 8210, 8224, 8501, 8840, 11092, 11212, 11452, 12791, 13262, 13345, 15050, 15214, 15271, 17169, 19053, 19296, 20195, 20605, 21221, 22368, 22453, 26311, 28749, 30877, 34236, 41670, 41920, 51523, 55851, 60524, 64204, 68897, 71312, 71327, 71489, 77342, 78010, 79607, 84213, 85573, 87227, 88248, 88283, 88850, 91682, 94508, 98868, 119693, 161786, 164747, 164845, 174874, 175759, 193011, 348308, 603613 ]
3
[ 0, 3, 5, 1, 3, 1, 2, 1, 4, 5, 63, 4, 7, 0, 3, 7, 4, 0, 3, 10, 0, 6, 4, 1, 0, 1, 3, 3, 6, 2, 12, 5, 9, 0, 3, 5, 7, 6, 6, 2, 2, 8, 10, 19, 12, 3, 5, 4, 24, 7, 5, 83, 25, 42, 20, 18, 13, 74, 2, 2, 1, 3, 13, 5, 38, 12, 20, 5, 7, 6, 34, 6, 95, 26, 45, 17, 12, 7, 77, 18, 17, 119, 0, 39, 52, 90, 6, 16, 25, 84, 116, 4, 7, 230, 33, 29, 199, 502, 104, 151, 138, 111, 141, 29, 238, 202, 18, 522, 332, 0, 1, 1034, 355, 122, 3, 617, 270, 47, 243, 258, 25, 296, 353, 14, 277, 339, 2252, 120, 240, 1339, 471, 83, 1705, 164, 57, 1898, 1884, 243, 899, 410, 616, 1147, 85, 3858, 2438, 2128, 3359, 7434, 250, 9603, 4328, 4673, 3680, 4693, 2415, 15, 162, 5853, 668, 1597, 4606, 1360, 1654, 1021, 35, 567, 2832, 2826, 4360, 20825, 42093, 2961, 98, 10029, 885, 17252, 155297, 255305 ]
178
528
[ 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2 ]
[ 0, 6075, 6086, 6213, 6366, 6368, 6405, 6418, 6429, 6436, 6445, 6457, 6491, 6502, 6585, 6606, 6635, 6644, 6664, 6680, 6680, 6697, 6707, 6711, 6711, 6754, 6761, 6841, 6842, 6846, 6854, 6868, 6899, 6932, 6937, 6957, 6966, 7059, 7275, 7317, 7517, 7944, 8009, 8812, 9029, 12070, 12989, 13226, 13272, 13443, 13574, 13886, 22422, 22695, 22888, 47308, 47427, 88891 ]
3
[ 0, 6075, 11, 127, 153, 2, 37, 13, 11, 7, 9, 12, 34, 11, 83, 21, 29, 9, 20, 16, 0, 17, 10, 4, 0, 43, 7, 80, 1, 4, 8, 14, 31, 33, 5, 20, 9, 93, 216, 42, 200, 427, 65, 803, 217, 3041, 919, 237, 46, 171, 131, 312, 8536, 273, 193, 24420, 119, 41464 ]
58
529
[ 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2 ]
[ 0, 10, 19, 25, 30, 33, 42, 53, 58, 61, 63, 86, 95, 96, 161, 167, 191, 255, 264, 277, 362, 366, 434, 444, 485, 499, 596, 626, 736, 780, 954, 1615, 1914, 2965, 3359, 4498, 5185, 5812, 7132, 7318, 11477, 11856, 12007, 12096, 13015, 14173, 14463, 16104, 16540, 17791, 19144, 19290, 19466, 19473, 19606, 20390, 20905, 21233, 23637, 23651, 23712, 25055, 26504, 26695, 27144, 27237, 28337, 28343, 28679, 28704, 29076, 33190, 33225, 33234, 34114, 34291, 37298, 37319, 39904, 39928, 41105, 42481, 42498, 43213, 43551, 45085, 49292, 51936, 53516, 53826, 54221, 54813, 58718, 59056, 61963, 64322, 64492, 64530, 70452, 79033, 89561, 90950, 90977, 91032, 91407, 94143, 97752, 107681, 109569, 109816, 112431, 116041, 119710, 119943, 120442, 124932, 128793, 131016, 137351, 138429, 138450, 143070, 143344, 150425, 195708, 196235, 196704, 197371, 200645, 200865, 207396, 207427, 221047, 221135, 239044, 244802, 248636, 262446, 283929, 296572, 309122, 315919, 317729, 333585, 341398, 362480, 368781, 369010, 373832, 376251, 378890, 379792, 387516, 388242, 399713, 402909, 416163, 417709, 423446, 424372, 450218, 455573, 464989, 473608, 487408, 559013, 571525 ]
3
[ 0, 10, 9, 6, 5, 3, 9, 11, 5, 3, 2, 23, 9, 1, 65, 6, 24, 64, 9, 13, 85, 4, 68, 10, 41, 14, 97, 30, 110, 44, 174, 661, 299, 1051, 394, 1139, 687, 627, 1320, 186, 4159, 379, 151, 89, 919, 1158, 290, 1641, 436, 1251, 1353, 146, 176, 7, 133, 784, 515, 328, 2404, 14, 61, 1343, 1449, 191, 449, 93, 1100, 6, 336, 25, 372, 4114, 35, 9, 880, 177, 3007, 21, 2585, 24, 1177, 1376, 17, 715, 338, 1534, 4207, 2644, 1580, 310, 395, 592, 3905, 338, 2907, 2359, 170, 38, 5922, 8581, 10528, 1389, 27, 55, 375, 2736, 3609, 9929, 1888, 247, 2615, 3610, 3669, 233, 499, 4490, 3861, 2223, 6335, 1078, 21, 4620, 274, 7081, 45283, 527, 469, 667, 3274, 220, 6531, 31, 13620, 88, 17909, 5758, 3834, 13810, 21483, 12643, 12550, 6797, 1810, 15856, 7813, 21082, 6301, 229, 4822, 2419, 2639, 902, 7724, 726, 11471, 3196, 13254, 1546, 5737, 926, 25846, 5355, 9416, 8619, 13800, 71605, 12512 ]
167
530
[ 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1 ]
[ 0, 9, 13, 13, 15, 20, 21, 25, 27, 27, 30, 30, 30, 31, 34, 34, 35, 37, 42, 42, 47, 49, 56, 61, 62, 66, 67, 88, 93, 99, 100, 102, 110, 118, 146, 174, 174, 181, 201, 202, 213, 224, 225, 226, 237, 240, 260, 274, 304, 308, 401, 442, 451, 521, 575, 597, 629, 688, 3896, 8487, 16554, 32529, 142857 ]
3
[ 0, 9, 4, 0, 2, 5, 1, 4, 2, 0, 3, 0, 0, 1, 3, 0, 1, 2, 5, 0, 5, 2, 7, 5, 1, 4, 1, 21, 5, 6, 1, 2, 8, 8, 28, 28, 0, 7, 20, 1, 11, 11, 1, 1, 11, 3, 20, 14, 30, 4, 93, 41, 9, 70, 54, 22, 32, 59, 3208, 4591, 8067, 15975, 110328 ]
63
531
[ 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0 ]
[ 0, 2, 3, 7, 7, 8, 8, 9, 9, 10, 10, 11, 12, 14, 14, 15, 16, 17, 17, 17, 19, 20, 21, 24, 27, 27, 29, 29, 30, 33, 33, 34, 34, 35, 35, 37, 37, 38, 41, 41, 41, 43, 45, 46, 47, 48, 49, 50, 50, 50, 52, 53, 55, 55, 55, 56, 56, 56, 58, 59, 59, 60, 60, 61, 63, 65, 65, 66, 68, 69, 69, 70, 71, 71, 71, 72, 72, 74, 78, 78, 81, 82, 83, 83, 85, 87, 93, 95, 97, 97, 98, 99, 100, 100, 102, 103, 104, 105, 106, 107, 107, 109, 109, 110, 110, 115, 118, 123, 124, 126, 128, 139, 139, 147, 149, 159, 171, 172, 175, 181, 186, 187, 188, 188, 190, 194, 194, 203, 210, 213, 219, 225, 226, 233, 250, 252, 255, 270, 276, 276, 328, 334, 339, 357, 372, 386, 402, 443, 450, 485, 566, 581, 619, 653, 655, 710, 719, 797, 1566, 1579, 1587, 2218, 2795, 4642, 5090, 5348, 5734, 5758, 7165, 61941, 62905, 68957, 76228, 76298, 78161, 78607, 81500, 82134, 84943, 95174, 146904, 256375 ]
3
[ 0, 2, 1, 4, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 3, 3, 0, 2, 0, 1, 3, 0, 1, 0, 1, 0, 2, 0, 1, 3, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 4, 0, 3, 1, 1, 0, 2, 2, 6, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 5, 3, 5, 1, 2, 2, 11, 0, 8, 2, 10, 12, 1, 3, 6, 5, 1, 1, 0, 2, 4, 0, 9, 7, 3, 6, 6, 1, 7, 17, 2, 3, 15, 6, 0, 52, 6, 5, 18, 15, 14, 16, 41, 7, 35, 81, 15, 38, 34, 2, 55, 9, 78, 769, 13, 8, 631, 577, 1847, 448, 258, 386, 24, 1407, 54776, 964, 6052, 7271, 70, 1863, 446, 2893, 634, 2809, 10231, 51730, 109471 ]
182
532
[ 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1 ]
[ 0, 1, 4, 7, 10, 12, 16, 19, 24, 25, 25, 28, 33, 34, 35, 36, 38, 39, 40, 41, 43, 46, 47, 48, 50, 52, 52, 54, 60, 61, 65, 68, 68, 69, 71, 72, 75, 75, 80, 87, 89, 92, 93, 94, 98, 105, 109, 109, 109, 115, 118, 132, 166, 176, 213, 219, 220, 244, 254, 261, 281, 284, 312, 325, 329, 343, 409, 443, 496, 511, 621, 695, 712, 821, 880, 900, 1005, 1079, 1103, 1559, 1590, 1627, 1669, 1846, 2338, 2403, 2942, 3638, 4414, 6197, 6431, 6501, 9606, 11856, 11992, 13261, 13928, 14138, 14170, 14693, 17056, 18160, 21677, 30815, 35614, 56364, 86061, 169909, 189714, 207971, 242732 ]
3
[ 0, 1, 3, 3, 3, 2, 4, 3, 5, 1, 0, 3, 5, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 2, 0, 2, 6, 1, 4, 3, 0, 1, 2, 1, 3, 0, 5, 7, 2, 3, 1, 1, 4, 7, 4, 0, 0, 6, 3, 14, 34, 10, 37, 6, 1, 24, 10, 7, 20, 3, 28, 13, 4, 14, 66, 34, 53, 15, 110, 74, 17, 109, 59, 20, 105, 74, 24, 456, 31, 37, 42, 177, 492, 65, 539, 696, 776, 1783, 234, 70, 3105, 2250, 136, 1269, 667, 210, 32, 523, 2363, 1104, 3517, 9138, 4799, 20750, 29697, 83848, 19805, 18257, 34761 ]
111
533
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2 ]
[ 0, 4, 32, 40, 84, 107, 108, 131, 133, 136, 199, 424, 469, 709, 746, 759, 821, 837, 888, 998, 1008, 1091, 3011, 4819, 10646, 11210, 21472, 25233, 25494, 25532, 25536, 25541, 25569, 25583, 25596, 25599, 25616, 25620, 25657, 25683, 25686, 25734, 25750, 25767, 25776, 25794, 25883, 25895, 26008, 26107, 26528, 26540, 26544, 26612, 26664, 26683, 26827, 26892, 27446, 27755, 29244, 32487, 32535, 32559, 32575, 32580, 32616, 32632, 32632, 32664, 32691, 32758, 32782, 32862, 32944, 33130, 33673, 33756, 34395, 34845, 39960, 39984, 39994, 40030, 42479, 43275, 44331, 46197, 48332, 49946, 50447, 52027, 53178, 53529, 55222, 109984, 119218, 119236, 119516, 119516, 120254, 145284, 291035, 442915 ]
3
[ 0, 4, 28, 8, 44, 23, 1, 23, 2, 3, 63, 225, 45, 240, 37, 13, 62, 16, 51, 110, 10, 83, 1920, 1808, 5827, 564, 10262, 3761, 261, 38, 4, 5, 28, 14, 13, 3, 17, 4, 37, 26, 3, 48, 16, 17, 9, 18, 89, 12, 113, 99, 421, 12, 4, 68, 52, 19, 144, 65, 554, 309, 1489, 3243, 48, 24, 16, 5, 36, 16, 0, 32, 27, 67, 24, 80, 82, 186, 543, 83, 639, 450, 5115, 24, 10, 36, 2449, 796, 1056, 1866, 2135, 1614, 501, 1580, 1151, 351, 1693, 54762, 9234, 18, 280, 0, 738, 25030, 145751, 151880 ]
104
534
[ 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 1, 1, 1, 1, 4, 5, 5, 6, 6, 7, 10, 10, 10, 11, 12, 12, 14, 15, 15, 16, 18, 19, 22, 22, 26, 26, 31, 33, 33, 34, 36, 36, 39, 41, 42, 43, 45, 46, 53, 54, 55, 56, 57, 58, 59, 61, 61, 62, 71, 79, 80, 82, 83, 85, 85, 89, 92, 93, 95, 98, 98, 98, 99, 102, 103, 106, 111, 112, 118, 120, 130, 133, 134, 136, 204, 206, 206, 210, 247, 306, 309, 316, 349, 402, 432, 436, 445, 657, 715, 783, 1309, 2144, 2276, 3616, 4352, 6143, 7310, 7431, 9843, 10839, 11222, 21630, 22064, 46873, 137838 ]
3
[ 0, 1, 0, 0, 0, 3, 1, 0, 1, 0, 1, 3, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 3, 0, 4, 0, 5, 2, 0, 1, 2, 0, 3, 2, 1, 1, 2, 1, 7, 1, 1, 1, 1, 1, 1, 2, 0, 1, 9, 8, 1, 2, 1, 2, 0, 4, 3, 1, 2, 3, 0, 0, 1, 3, 1, 3, 5, 1, 6, 2, 10, 3, 1, 2, 68, 2, 0, 4, 37, 59, 3, 7, 33, 53, 30, 4, 9, 212, 58, 68, 526, 835, 132, 1340, 736, 1791, 1167, 121, 2412, 996, 383, 10408, 434, 24809, 90965 ]
106
535
[ 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0 ]
[ 0, 3, 5, 8, 11, 15, 16, 18, 19, 24, 32, 33, 34, 37, 38, 39, 39, 39, 41, 42, 45, 47, 48, 49, 49, 49, 61, 63, 69, 71, 72, 75, 82, 83, 86, 95, 98, 99, 100, 101, 102, 105, 109, 110, 115, 115, 116, 116, 118, 130, 134, 137, 142, 142, 143, 153, 159, 173, 174, 177, 179, 191, 201, 219, 221, 229, 235, 238, 245, 248, 260, 275, 287, 292, 305, 309, 310, 313, 333, 344, 395, 396, 409, 411, 412, 414, 422, 442, 455, 464, 475, 476, 494, 507, 522, 529, 544, 550, 583, 586, 588, 671, 672, 690, 695, 739, 780, 870, 890, 931, 958, 985, 1016, 1062, 1069, 1239, 1239, 1272, 1361, 2007, 2304, 2596, 3185, 4322, 4797, 6449, 9494, 10482, 10506, 12029, 13140, 13798, 13944, 13967, 14457, 17170, 24026, 32526, 38358, 42640, 55370, 56051, 56504, 56573, 58601, 58724, 58880, 64653, 65133, 66169, 67348, 73040, 74168, 78331, 81958, 86202, 86418, 86966, 87014, 87085, 88562, 90698, 91325, 91325, 91988, 92171, 99639, 102370, 104673, 124197, 147595, 167058, 172968, 176816, 255199, 255399, 285674, 366292, 386981, 411640, 427013, 427139, 431753, 435377, 487441, 490622, 520659, 586337 ]
3
[ 0, 3, 2, 3, 3, 4, 1, 2, 1, 5, 8, 1, 1, 3, 1, 1, 0, 0, 2, 1, 3, 2, 1, 1, 0, 0, 12, 2, 6, 2, 1, 3, 7, 1, 3, 9, 3, 1, 1, 1, 1, 3, 4, 1, 5, 0, 1, 0, 2, 12, 4, 3, 5, 0, 1, 10, 6, 14, 1, 3, 2, 12, 10, 18, 2, 8, 6, 3, 7, 3, 12, 15, 12, 5, 13, 4, 1, 3, 20, 11, 51, 1, 13, 2, 1, 2, 8, 20, 13, 9, 11, 1, 18, 13, 15, 7, 15, 6, 33, 3, 2, 83, 1, 18, 5, 44, 41, 90, 20, 41, 27, 27, 31, 46, 7, 170, 0, 33, 89, 646, 297, 292, 589, 1137, 475, 1652, 3045, 988, 24, 1523, 1111, 658, 146, 23, 490, 2713, 6856, 8500, 5832, 4282, 12730, 681, 453, 69, 2028, 123, 156, 5773, 480, 1036, 1179, 5692, 1128, 4163, 3627, 4244, 216, 548, 48, 71, 1477, 2136, 627, 0, 663, 183, 7468, 2731, 2303, 19524, 23398, 19463, 5910, 3848, 78383, 200, 30275, 80618, 20689, 24659, 15373, 126, 4614, 3624, 52064, 3181, 30037, 65678 ]
188
536
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0 ]
[ 0, 3, 5, 7, 16, 23, 25, 31, 32, 34, 35, 36, 45, 45, 48, 50, 53, 66, 69, 73, 80, 87, 88, 95, 95, 126, 135, 137, 144, 154, 161, 163, 175, 200, 204, 225, 245, 277, 295, 297, 301, 309, 328, 343, 448, 500, 540, 597, 597, 651, 677, 707, 765, 834, 930, 980, 1124, 1140, 1215, 1255, 1286, 1307, 1383, 1511, 1768, 2146, 2487, 2561, 2664, 2812, 3284, 3322, 3421, 3506, 3919, 3922, 4418, 4466, 4730, 5114, 5320, 5441, 6339, 6427, 6619, 8381, 9515, 9542, 9559, 9569, 9594, 9605, 9627, 9693, 9829, 9918, 9936, 9951, 10004, 10012, 10016, 10265, 10318, 10425, 11456, 11855, 14545, 15217, 15444, 15578, 17711, 18637, 35261, 36885, 41216, 41389, 41840, 43553, 44233, 47250, 47908, 49121, 51021, 58545, 62410, 65215, 68300, 76994, 83005, 83358, 84215, 89172, 89288, 91283, 117829, 134208, 151365, 155285, 155285, 155538, 157902, 157925, 157937, 157944, 157954, 157958, 157975, 157987, 158019, 158042, 158124, 158151, 158261, 158300, 158442, 158787, 161327, 165199, 172262, 172394, 172477, 199266, 208664, 239663, 239743, 241197, 251211, 319127, 341113, 341761, 521414, 521433, 521438, 521439, 521456, 521479, 521494, 521494, 521498, 521521, 521545, 521553, 521586, 521589, 521661, 521663, 521694, 521703, 521750, 521787, 521801, 521872, 521883, 521931, 522003, 522006, 522039, 522112, 522283, 522461, 522532, 522585, 523311, 524030, 524365, 525755 ]
3
[ 0, 3, 2, 2, 9, 7, 2, 6, 1, 2, 1, 1, 9, 0, 3, 2, 3, 13, 3, 4, 7, 7, 1, 7, 0, 31, 9, 2, 7, 10, 7, 2, 12, 25, 4, 21, 20, 32, 18, 2, 4, 8, 19, 15, 105, 52, 40, 57, 0, 54, 26, 30, 58, 69, 96, 50, 144, 16, 75, 40, 31, 21, 76, 128, 257, 378, 341, 74, 103, 148, 472, 38, 99, 85, 413, 3, 496, 48, 264, 384, 206, 121, 898, 88, 192, 1762, 1134, 27, 17, 10, 25, 11, 22, 66, 136, 89, 18, 15, 53, 8, 4, 249, 53, 107, 1031, 399, 2690, 672, 227, 134, 2133, 926, 16624, 1624, 4331, 173, 451, 1713, 680, 3017, 658, 1213, 1900, 7524, 3865, 2805, 3085, 8694, 6011, 353, 857, 4957, 116, 1995, 26546, 16379, 17157, 3920, 0, 253, 2364, 23, 12, 7, 10, 4, 17, 12, 32, 23, 82, 27, 110, 39, 142, 345, 2540, 3872, 7063, 132, 83, 26789, 9398, 30999, 80, 1454, 10014, 67916, 21986, 648, 179653, 19, 5, 1, 17, 23, 15, 0, 4, 23, 24, 8, 33, 3, 72, 2, 31, 9, 47, 37, 14, 71, 11, 48, 72, 3, 33, 73, 171, 178, 71, 53, 726, 719, 335, 1390 ]
206
537
[ 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1 ]
[ 0, 8, 10, 12, 29, 32, 33, 36, 37, 46, 51, 56, 58, 60, 71, 72, 74, 80, 82, 89, 97, 99, 109, 130, 130, 137, 146, 155, 158, 221, 227, 229, 241, 269, 269, 287, 335, 357, 406, 440, 442, 460, 487, 631, 634, 824, 1025, 1054, 1091, 1116, 1448, 2549, 2784, 4562, 5287, 5353, 6930, 7128, 11558, 18295 ]
3
[ 0, 8, 2, 2, 17, 3, 1, 3, 1, 9, 5, 5, 2, 2, 11, 1, 2, 6, 2, 7, 8, 2, 10, 21, 0, 7, 9, 9, 3, 63, 6, 2, 12, 28, 0, 18, 48, 22, 49, 34, 2, 18, 27, 144, 3, 190, 201, 29, 37, 25, 332, 1101, 235, 1778, 725, 66, 1577, 198, 4430, 6737 ]
60
538
[ 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ]
[ 0, 16, 17, 19, 24, 42, 43, 53, 54, 59, 71, 92, 114, 123, 124, 125, 133, 199, 203, 214, 218, 246, 252, 258, 261, 277, 284, 294, 314, 393, 402, 465, 476, 477, 506, 544, 583, 606, 628, 638, 655, 735, 754, 828, 894, 924, 936, 949, 1040, 1061, 1110, 1345, 1434, 1457, 1471, 1506, 1508, 1664, 1744, 1823, 1830, 1946, 2003, 2006, 2054, 2151, 2243, 2312, 2442, 2524, 2578, 2584, 2589, 2618, 2702, 2793, 2809, 2930, 2954, 2958, 2977, 3010, 3245, 3261, 3397, 3540, 3548, 3572, 3853, 3960, 4023, 4063, 4078, 4163, 4353, 4370, 4399, 4403, 4501, 4505, 4545, 4562, 4605, 4665, 4736, 4832, 4871, 4886, 4982, 5138, 5320, 5354, 5552, 5714, 5732, 5853, 5900, 6033, 6455, 6663, 6668, 6774, 7021, 7062, 7132, 7175, 7288, 7614, 7672, 7681, 7872, 8065, 8263, 8324, 8460, 8560, 8774, 9106, 9356, 9602, 9657, 9771, 9889, 10131, 10444, 10463, 10493, 10788, 11396, 11396, 11751, 12473, 12794, 13782, 14377, 14619, 16736, 17093, 17155, 17364, 20793, 21512, 22122, 23027, 24290, 24587, 28327, 33134, 34571, 34995, 37805, 48868, 62487, 88842, 89951, 100097, 165540, 209733 ]
3
[ 0, 16, 1, 2, 5, 18, 1, 10, 1, 5, 12, 21, 22, 9, 1, 1, 8, 66, 4, 11, 4, 28, 6, 6, 3, 16, 7, 10, 20, 79, 9, 63, 11, 1, 29, 38, 39, 23, 22, 10, 17, 80, 19, 74, 66, 30, 12, 13, 91, 21, 49, 235, 89, 23, 14, 35, 2, 156, 80, 79, 7, 116, 57, 3, 48, 97, 92, 69, 130, 82, 54, 6, 5, 29, 84, 91, 16, 121, 24, 4, 19, 33, 235, 16, 136, 143, 8, 24, 281, 107, 63, 40, 15, 85, 190, 17, 29, 4, 98, 4, 40, 17, 43, 60, 71, 96, 39, 15, 96, 156, 182, 34, 198, 162, 18, 121, 47, 133, 422, 208, 5, 106, 247, 41, 70, 43, 113, 326, 58, 9, 191, 193, 198, 61, 136, 100, 214, 332, 250, 246, 55, 114, 118, 242, 313, 19, 30, 295, 608, 0, 355, 722, 321, 988, 595, 242, 2117, 357, 62, 209, 3429, 719, 610, 905, 1263, 297, 3740, 4807, 1437, 424, 2810, 11063, 13619, 26355, 1109, 10146, 65443, 44193 ]
178
539
[ 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 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, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
[ 0, 3, 21, 33, 36, 37, 53, 83, 83, 86, 108, 136, 176, 177, 187, 199, 245, 251, 298, 317, 325, 366, 385, 445, 487, 541, 552, 591, 689, 690, 693, 763, 818, 989, 1069, 1181, 1434, 1456, 1518, 1586, 1609, 1622, 1665, 1677, 1683, 1738, 1745, 1817, 1848, 1874, 1907, 1963, 2124, 2130, 2273, 2501, 2895, 2902, 3737, 3807, 3883, 4120, 4256, 6305, 7160, 8713, 10715, 10759, 10768, 11256, 12646, 18431, 33596, 43745, 44042, 71909, 84231, 107945, 119865, 128127 ]
3
[ 0, 3, 18, 12, 3, 1, 16, 30, 0, 3, 22, 28, 40, 1, 10, 12, 46, 6, 47, 19, 8, 41, 19, 60, 42, 54, 11, 39, 98, 1, 3, 70, 55, 171, 80, 112, 253, 22, 62, 68, 23, 13, 43, 12, 6, 55, 7, 72, 31, 26, 33, 56, 161, 6, 143, 228, 394, 7, 835, 70, 76, 237, 136, 2049, 855, 1553, 2002, 44, 9, 488, 1390, 5785, 15165, 10149, 297, 27867, 12322, 23714, 11920, 8262 ]
80
540
[ 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1 ]
[ 0, 2, 18, 32, 41, 68, 87, 89, 91, 128, 176, 239, 675, 750, 846, 885, 1085, 3415, 3793, 25787, 38236, 38314, 40014, 40019, 40034, 40041, 42391, 43149, 43149, 43216, 43248, 43306, 43695, 43820, 46206, 46336, 46389, 50946, 53506, 53540, 53612, 63487, 71176, 77428, 77483, 77495, 77512, 77541, 77838, 78237, 78473, 78584, 78614, 78830, 79709, 81279, 81301, 81375, 82102, 82248, 88117, 88184, 116589, 116603, 116612, 116626, 116836, 117017, 117185, 117255, 117760, 121932, 122615, 122659, 122762, 169890, 171104, 187174, 188891, 189228, 190953, 191339, 192786, 199974, 200246, 200624, 235517, 248239, 248297, 248328, 248569, 248595, 248763, 297363, 297374, 297382, 297386, 297397, 297400, 297405, 297413, 297419, 297420, 297422, 297424, 297438, 297439, 297448, 297472, 297476, 297509, 297524, 297536, 297553, 297561, 297563, 297588, 297589, 297594, 297617, 297622, 297641, 297661, 297674, 297683, 297801, 297880, 297886, 298400, 298680, 298782, 302564, 302651, 315213, 334285, 334801, 337462 ]
3
[ 0, 2, 16, 14, 9, 27, 19, 2, 2, 37, 48, 63, 436, 75, 96, 39, 200, 2330, 378, 21994, 12449, 78, 1700, 5, 15, 7, 2350, 758, 0, 67, 32, 58, 389, 125, 2386, 130, 53, 4557, 2560, 34, 72, 9875, 7689, 6252, 55, 12, 17, 29, 297, 399, 236, 111, 30, 216, 879, 1570, 22, 74, 727, 146, 5869, 67, 28405, 14, 9, 14, 210, 181, 168, 70, 505, 4172, 683, 44, 103, 47128, 1214, 16070, 1717, 337, 1725, 386, 1447, 7188, 272, 378, 34893, 12722, 58, 31, 241, 26, 168, 48600, 11, 8, 4, 11, 3, 5, 8, 6, 1, 2, 2, 14, 1, 9, 24, 4, 33, 15, 12, 17, 8, 2, 25, 1, 5, 23, 5, 19, 20, 13, 9, 118, 79, 6, 514, 280, 102, 3782, 87, 12562, 19072, 516, 2661 ]
137
541
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0 ]
[ 0, 0, 15, 18, 31, 36, 43, 45, 57, 96, 157, 165, 169, 189, 217, 229, 283, 301, 323, 324, 379, 387, 481, 554, 577, 578, 644, 693, 894, 979, 1128, 1132, 1167, 1316, 1430, 1439, 1518, 1575, 1832, 1839, 2293, 2534, 2598, 3922, 4317, 5447, 8578, 9418, 9501, 10420, 11980, 18489, 21909, 24501, 28419, 60077, 93777 ]
3
[ 0, 0, 15, 3, 13, 5, 7, 2, 12, 39, 61, 8, 4, 20, 28, 12, 54, 18, 22, 1, 55, 8, 94, 73, 23, 1, 66, 49, 201, 85, 149, 4, 35, 149, 114, 9, 79, 57, 257, 7, 454, 241, 64, 1324, 395, 1130, 3131, 840, 83, 919, 1560, 6509, 3420, 2592, 3918, 31658, 33700 ]
57
542
[ 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 9, 38, 40, 57, 61, 62, 66, 72, 87, 105, 111, 112, 143, 158, 164, 174, 197, 210, 321, 550, 572, 576, 600, 613, 822, 902, 1011, 1080, 1358, 1419, 1427, 1505, 1656, 1754, 2298, 2421, 2718, 2781, 2831, 3119, 3511, 3914, 4045, 5394, 5785, 6682, 6687, 10250, 10681, 11098, 12376, 20288, 35533, 44848, 50734, 154161 ]
3
[ 0, 9, 29, 2, 17, 4, 1, 4, 6, 15, 18, 6, 1, 31, 15, 6, 10, 23, 13, 111, 229, 22, 4, 24, 13, 209, 80, 109, 69, 278, 61, 8, 78, 151, 98, 544, 123, 297, 63, 50, 288, 392, 403, 131, 1349, 391, 897, 5, 3563, 431, 417, 1278, 7912, 15245, 9315, 5886, 103427 ]
57
543
[ 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1 ]
[ 0, 34, 40, 44, 46, 46, 51, 51, 52, 58, 60, 60, 62, 66, 69, 71, 84, 86, 88, 95, 99, 99, 100, 103, 103, 105, 108, 110, 111, 118, 127, 131, 133, 136, 137, 138, 141, 142, 151, 151, 156, 163, 165, 206, 212, 218, 222, 225, 245, 252, 256, 269, 288, 320, 341, 363, 398, 534, 624, 768, 893, 899, 981, 1130, 2375, 4704, 7324, 21035, 96529, 97859 ]
3
[ 0, 34, 6, 4, 2, 0, 5, 0, 1, 6, 2, 0, 2, 4, 3, 2, 13, 2, 2, 7, 4, 0, 1, 3, 0, 2, 3, 2, 1, 7, 9, 4, 2, 3, 1, 1, 3, 1, 9, 0, 5, 7, 2, 41, 6, 6, 4, 3, 20, 7, 4, 13, 19, 32, 21, 22, 35, 136, 90, 144, 125, 6, 82, 149, 1245, 2329, 2620, 13711, 75494, 1330 ]
70
544
[ 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1 ]
[ 0, 11, 13, 42, 89, 101, 130, 170, 177, 258, 307, 330, 341, 514, 543, 582, 584, 625, 779, 800, 847, 868, 1255, 1451, 1460, 1750, 1966, 2242, 2420, 2634, 2970, 3036, 3262, 3834, 4280, 4421, 4447, 5106, 5277, 5773, 6138, 6958, 7076, 7411, 7463, 7707, 8449, 8811, 9098, 9385, 9417, 11209, 11295, 11812, 13079, 13233, 13630, 14460, 16766, 17359, 17989, 18251, 18305, 19511, 21659, 24718, 25518, 94374 ]
3
[ 0, 11, 2, 29, 47, 12, 29, 40, 7, 81, 49, 23, 11, 173, 29, 39, 2, 41, 154, 21, 47, 21, 387, 196, 9, 290, 216, 276, 178, 214, 336, 66, 226, 572, 446, 141, 26, 659, 171, 496, 365, 820, 118, 335, 52, 244, 742, 362, 287, 287, 32, 1792, 86, 517, 1267, 154, 397, 830, 2306, 593, 630, 262, 54, 1206, 2148, 3059, 800, 68856 ]
68
545
[ 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 13, 14, 17, 32, 106, 116, 147, 210, 240, 250, 283, 510, 571, 632, 677, 763, 928, 2034, 2421, 2443, 2785, 3147, 3286, 3325, 3366, 3662, 4516, 5167, 6557, 7598, 8748, 9193, 11155, 17431, 19372, 29379, 32995, 33643, 33821, 34232, 34232, 35672, 42792, 44095, 44134, 45913, 50316, 51201, 55087, 57911, 59512, 59636, 59745, 60175, 61745, 65351, 65736, 66158, 69980, 72805, 72868, 73683, 77143, 77196, 77841, 81036, 126327, 126342, 126425 ]
3
[ 0, 13, 1, 3, 15, 74, 10, 31, 63, 30, 10, 33, 227, 61, 61, 45, 86, 165, 1106, 387, 22, 342, 362, 139, 39, 41, 296, 854, 651, 1390, 1041, 1150, 445, 1962, 6276, 1941, 10007, 3616, 648, 178, 411, 0, 1440, 7120, 1303, 39, 1779, 4403, 885, 3886, 2824, 1601, 124, 109, 430, 1570, 3606, 385, 422, 3822, 2825, 63, 815, 3460, 53, 645, 3195, 45291, 15, 83 ]
70
546
[ 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1 ]
[ 0, 21, 27, 29, 29, 31, 32, 33, 33, 36, 42, 43, 44, 44, 46, 48, 48, 50, 50, 51, 53, 59, 63, 67, 70, 76, 80, 81, 83, 85, 87, 89, 90, 90, 91, 94, 95, 95, 96, 97, 106, 110, 112, 115, 121, 123, 125, 138, 139, 141, 144, 145, 145, 147, 155, 159, 166, 174, 182, 190, 214, 216, 219, 231, 233, 235, 236, 243, 244, 255, 261, 275, 277, 281, 286, 289, 293, 313, 359, 377, 453, 475, 555, 725, 725, 924, 2908, 4153, 4925, 33405, 67125, 77615, 245515, 324964, 325011, 325064 ]
3
[ 0, 21, 6, 2, 0, 2, 1, 1, 0, 3, 6, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 6, 4, 4, 3, 6, 4, 1, 2, 2, 2, 2, 1, 0, 1, 3, 1, 0, 1, 1, 9, 4, 2, 3, 6, 2, 2, 13, 1, 2, 3, 1, 0, 2, 8, 4, 7, 8, 8, 8, 24, 2, 3, 12, 2, 2, 1, 7, 1, 11, 6, 14, 2, 4, 5, 3, 4, 20, 46, 18, 76, 22, 80, 170, 0, 199, 1984, 1245, 772, 28480, 33720, 10490, 167900, 79449, 47, 53 ]
96
547
[ 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 15, 26, 27, 30, 31, 32, 40, 45, 80, 88, 95, 136, 177, 178, 185, 205, 217, 268, 308, 365, 441, 472, 1168, 1627, 1843, 3254, 3263, 3394, 3540, 5046, 5737, 5983, 6517, 6597, 6712, 6922, 7171, 7215, 7231, 7259, 7361, 7455, 7496, 7508, 7673, 7689, 7794, 8072, 8104, 8140, 8147, 8334, 8379, 8485, 8770, 9241, 9320, 9333, 10460, 11146, 11984, 12979, 13733, 14436, 14593, 18408, 21271, 54398, 144725, 145535, 239520 ]
3
[ 0, 15, 11, 1, 3, 1, 1, 8, 5, 35, 8, 7, 41, 41, 1, 7, 20, 12, 51, 40, 57, 76, 31, 696, 459, 216, 1411, 9, 131, 146, 1506, 691, 246, 534, 80, 115, 210, 249, 44, 16, 28, 102, 94, 41, 12, 165, 16, 105, 278, 32, 36, 7, 187, 45, 106, 285, 471, 79, 13, 1127, 686, 838, 995, 754, 703, 157, 3815, 2863, 33127, 90327, 810, 93985 ]
72
548
[ 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0 ]
[ 0, 15, 22, 27, 28, 30, 36, 39, 40, 44, 48, 54, 62, 62, 67, 74, 75, 82, 84, 92, 98, 104, 105, 129, 130, 133, 140, 156, 167, 179, 192, 204, 209, 232, 242, 269, 294, 389, 479, 495, 509, 540, 591, 715, 734, 783, 895, 911, 912, 1159, 1189, 1395, 1408, 1466, 1513, 1548, 1626, 1695, 1725, 1790, 1848, 1964, 1967, 1974, 2003, 2227, 2382, 2827, 3089, 3092, 3137, 3559, 3694, 3756, 3832, 3904, 4267, 4306, 4317, 4371, 4390, 4395, 4438, 4482, 4565, 4739, 4819, 4861, 4966, 5124, 5236, 5546, 5613, 5615, 5667, 5687, 6357, 6365, 6809, 6913, 7730, 7805, 8015, 8164, 8558, 10086, 10543, 11082, 11326, 11473, 12085, 12373, 12437, 13094, 14850, 14980, 15800, 15882, 18163, 22140, 27275, 27336, 27810, 27810, 28346, 31152, 31683, 36444, 37096, 46125, 46907, 54466, 55627, 58189, 111854, 555720 ]
3
[ 0, 15, 7, 5, 1, 2, 6, 3, 1, 4, 4, 6, 8, 0, 5, 7, 1, 7, 2, 8, 6, 6, 1, 24, 1, 3, 7, 16, 11, 12, 13, 12, 5, 23, 10, 27, 25, 95, 90, 16, 14, 31, 51, 124, 19, 49, 112, 16, 1, 247, 30, 206, 13, 58, 47, 35, 78, 69, 30, 65, 58, 116, 3, 7, 29, 224, 155, 445, 262, 3, 45, 422, 135, 62, 76, 72, 363, 39, 11, 54, 19, 5, 43, 44, 83, 174, 80, 42, 105, 158, 112, 310, 67, 2, 52, 20, 670, 8, 444, 104, 817, 75, 210, 149, 394, 1528, 457, 539, 244, 147, 612, 288, 64, 657, 1756, 130, 820, 82, 2281, 3977, 5135, 61, 474, 0, 536, 2806, 531, 4761, 652, 9029, 782, 7559, 1161, 2562, 53665, 443866 ]
136
549
[ 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1 ]
[ 0, 8, 12, 12, 23, 24, 29, 31, 33, 34, 50, 56, 60, 66, 69, 69, 103, 108, 116, 163, 165, 169, 180, 184, 204, 231, 283, 301, 308, 382, 389, 390, 413, 428, 484, 493, 509, 553, 639, 799, 845, 880, 1097, 1674, 1749, 1802, 1802, 1828, 2630, 2828, 2937, 3058, 3126, 3674, 3774, 4679, 5278, 7407, 11799 ]
3
[ 0, 8, 4, 0, 11, 1, 5, 2, 2, 1, 16, 6, 4, 6, 3, 0, 34, 5, 8, 47, 2, 4, 11, 4, 20, 27, 52, 18, 7, 74, 7, 1, 23, 15, 56, 9, 16, 44, 86, 160, 46, 35, 217, 577, 75, 53, 0, 26, 802, 198, 109, 121, 68, 548, 100, 905, 599, 2129, 4392 ]
59
550
[ 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 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, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 6, 7, 23, 35, 36, 37, 39, 40, 44, 52, 60, 70, 76, 86, 95, 111, 113, 114, 115, 121, 122, 129, 135, 138, 148, 148, 161, 163, 164, 175, 178, 188, 189, 218, 257, 260, 264, 292, 300, 304, 431, 444, 448, 451, 480, 485, 491, 491, 497, 499, 635, 642, 704, 754, 787, 797, 905, 1007, 1118, 1208, 1467, 1685, 1992, 2053, 2180, 2323, 2325, 2512, 2848, 3269, 3280, 3399, 3552, 5935, 6073, 8151, 15434, 26946, 29933, 34369, 39989, 46142, 69322, 108354, 225069 ]
3
[ 0, 6, 1, 16, 12, 1, 1, 2, 1, 4, 8, 8, 10, 6, 10, 9, 16, 2, 1, 1, 6, 1, 7, 6, 3, 10, 0, 13, 2, 1, 11, 3, 10, 1, 29, 39, 3, 4, 28, 8, 4, 127, 13, 4, 3, 29, 5, 6, 0, 6, 2, 136, 7, 62, 50, 33, 10, 108, 102, 111, 90, 259, 218, 307, 61, 127, 143, 2, 187, 336, 421, 11, 119, 153, 2383, 138, 2078, 7283, 11512, 2987, 4436, 5620, 6153, 23180, 39032, 116715 ]
86
551
[ 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0 ]
[ 0, 2, 3, 19, 19, 22, 24, 25, 28, 31, 31, 33, 39, 41, 41, 45, 47, 49, 54, 60, 60, 63, 63, 64, 72, 75, 81, 87, 93, 94, 94, 96, 98, 100, 103, 106, 107, 109, 110, 110, 112, 125, 125, 126, 134, 143, 158, 182, 214, 243, 254, 272, 275, 291, 296, 317, 329, 357, 430, 443, 451, 465, 522, 567, 607, 767, 955, 1426, 1445, 1581, 1657, 1899, 1946, 1990, 2003, 2237, 2248, 2412, 2609, 2891, 3338, 3496, 3602, 3871, 3911, 4273, 4375, 4462, 4744, 4967, 5544, 7146, 7561, 8112, 9290, 14324, 20768, 34308, 40067, 40965, 42657, 43890, 44390, 49443, 54510, 55730, 85729, 85871, 131409 ]
3
[ 0, 2, 1, 16, 0, 3, 2, 1, 3, 3, 0, 2, 6, 2, 0, 4, 2, 2, 5, 6, 0, 3, 0, 1, 8, 3, 6, 6, 6, 1, 0, 2, 2, 2, 3, 3, 1, 2, 1, 0, 2, 13, 0, 1, 8, 9, 15, 24, 32, 29, 11, 18, 3, 16, 5, 21, 12, 28, 73, 13, 8, 14, 57, 45, 40, 160, 188, 471, 19, 136, 76, 242, 47, 44, 13, 234, 11, 164, 197, 282, 447, 158, 106, 269, 40, 362, 102, 87, 282, 223, 577, 1602, 415, 551, 1178, 5034, 6444, 13540, 5759, 898, 1692, 1233, 500, 5053, 5067, 1220, 29999, 142, 45538 ]
109
552
[ 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0 ]
[ 0, 7, 21, 25, 26, 27, 30, 31, 43, 45, 47, 48, 50, 56, 59, 65, 71, 72, 77, 88, 88, 92, 94, 102, 116, 125, 127, 132, 144, 154, 189, 372, 419, 463, 711, 860, 887, 1140, 1203, 1309, 1777, 2013, 2014, 2778, 3499, 4076, 4477, 5584, 7236, 26532, 28210, 63818, 72064 ]
3
[ 0, 7, 14, 4, 1, 1, 3, 1, 12, 2, 2, 1, 2, 6, 3, 6, 6, 1, 5, 11, 0, 4, 2, 8, 14, 9, 2, 5, 12, 10, 35, 183, 47, 44, 248, 149, 27, 253, 63, 106, 468, 236, 1, 764, 721, 577, 401, 1107, 1652, 19296, 1678, 35608, 8246 ]
53
553
[ 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1 ]
[ 0, 12, 15, 15, 17, 18, 20, 21, 24, 27, 29, 31, 32, 32, 34, 35, 35, 37, 42, 44, 44, 48, 52, 52, 53, 63, 65, 66, 67, 67, 70, 136, 138, 138, 141, 146, 149, 153, 154, 160, 187, 187, 196, 200, 203, 203, 210, 215, 217, 218, 229, 245, 248, 253, 254, 262, 263, 272, 275, 305, 309, 315, 318, 332, 333, 333, 335, 338, 348, 361, 446, 453, 454, 454, 494, 498, 620, 644, 646, 653, 894, 897, 952, 958, 981, 1001, 1033, 1080, 1081, 1244, 1286, 1314, 1314, 1322, 1482, 1659, 1678, 1783, 1797, 2256, 2367, 2415, 2764, 2769, 2965, 3032, 3038, 3262, 3453, 3812, 3838, 4651, 5160, 8421, 8550, 10169, 10235, 10582, 11030, 11324, 12236, 12951, 17752, 22732, 24546, 30517, 47269, 56433, 60453, 65601, 66601, 66764, 69909, 70040, 70263, 81762, 85793, 86110, 86133, 86138, 86153, 86292, 86307, 86899, 87038, 87718, 89299, 93610, 96727, 97100, 101239, 101600, 126593, 132214, 132651, 132665, 132716, 133213, 135700, 135759, 150039, 153545, 164076, 174836, 182958, 190484, 231972, 237794, 242964, 298950, 320284, 320874, 326335, 326443, 326454, 326553, 326738, 326763, 326789, 326846, 327214, 327383, 328094, 328518, 336295, 337823, 345369, 405627, 405996, 426854, 430109, 430308, 435629, 444703, 461719, 463471, 486868, 494358, 495346, 562618, 587109, 588548 ]
3
[ 0, 12, 3, 0, 2, 1, 2, 1, 3, 3, 2, 2, 1, 0, 2, 1, 0, 2, 5, 2, 0, 4, 4, 0, 1, 10, 2, 1, 1, 0, 3, 66, 2, 0, 3, 5, 3, 4, 1, 6, 27, 0, 9, 4, 3, 0, 7, 5, 2, 1, 11, 16, 3, 5, 1, 8, 1, 9, 3, 30, 4, 6, 3, 14, 1, 0, 2, 3, 10, 13, 85, 7, 1, 0, 40, 4, 122, 24, 2, 7, 241, 3, 55, 6, 23, 20, 32, 47, 1, 163, 42, 28, 0, 8, 160, 177, 19, 105, 14, 459, 111, 48, 349, 5, 196, 67, 6, 224, 191, 359, 26, 813, 509, 3261, 129, 1619, 66, 347, 448, 294, 912, 715, 4801, 4980, 1814, 5971, 16752, 9164, 4020, 5148, 1000, 163, 3145, 131, 223, 11499, 4031, 317, 23, 5, 15, 139, 15, 592, 139, 680, 1581, 4311, 3117, 373, 4139, 361, 24993, 5621, 437, 14, 51, 497, 2487, 59, 14280, 3506, 10531, 10760, 8122, 7526, 41488, 5822, 5170, 55986, 21334, 590, 5461, 108, 11, 99, 185, 25, 26, 57, 368, 169, 711, 424, 7777, 1528, 7546, 60258, 369, 20858, 3255, 199, 5321, 9074, 17016, 1752, 23397, 7490, 988, 67272, 24491, 1439 ]
202
554
[ 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1 ]
[ 0, 0, 0, 2, 3, 4, 5, 25, 37, 37, 38, 40, 51, 58, 60, 72, 72, 106, 114, 129, 130, 149, 153, 155, 198, 198, 209, 215, 309, 318, 321, 321, 402, 415, 441, 508, 520, 571, 741, 757, 779, 850, 1115, 1138, 1254, 1318, 1444, 1491, 1537, 1718, 1893, 3440, 3531, 3756, 4456, 6275, 7106, 8749, 13450, 13472, 21713, 23086, 28686, 29155, 29520, 32554, 35754, 39536, 48260, 48689, 52489, 52747, 52950, 61974, 73439, 75162, 75552, 75819, 75895, 77135, 80593, 81542, 87894, 90070, 91934, 111709, 129854, 151924, 156451, 156718, 157926, 164239, 168858, 168874, 169198, 169555, 172396, 172506, 173460, 178134, 181190, 219073, 219397, 219837, 222607, 231329, 233512, 238242, 245133, 260038, 261528, 264017, 282631, 289153, 307546, 318432, 330107, 336410, 337108, 343775, 350488, 418691, 421563, 431307, 434772, 495328, 496443, 502153, 568805, 577863, 590926, 596309 ]
3
[ 0, 0, 0, 2, 1, 1, 1, 20, 12, 0, 1, 2, 11, 7, 2, 12, 0, 34, 8, 15, 1, 19, 4, 2, 43, 0, 11, 6, 94, 9, 3, 0, 81, 13, 26, 67, 12, 51, 170, 16, 22, 71, 265, 23, 116, 64, 126, 47, 46, 181, 175, 1547, 91, 225, 700, 1819, 831, 1643, 4701, 22, 8241, 1373, 5600, 469, 365, 3034, 3200, 3782, 8724, 429, 3800, 258, 203, 9024, 11465, 1723, 390, 267, 76, 1240, 3458, 949, 6352, 2176, 1864, 19775, 18145, 22070, 4527, 267, 1208, 6313, 4619, 16, 324, 357, 2841, 110, 954, 4674, 3056, 37883, 324, 440, 2770, 8722, 2183, 4730, 6891, 14905, 1490, 2489, 18614, 6522, 18393, 10886, 11675, 6303, 698, 6667, 6713, 68203, 2872, 9744, 3465, 60556, 1115, 5710, 66652, 9058, 13063, 5383 ]
132
555
[ 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0 ]
[ 0, 20, 25, 43, 53, 59, 84, 113, 121, 216, 222, 257, 318, 340, 350, 386, 467, 518, 519, 520, 533, 557, 561, 594, 623, 625, 656, 675, 695, 713, 715, 723, 750, 769, 774, 891, 1098, 1129, 1187, 1212, 1317, 1366, 1369, 1373, 2260, 2476, 2519, 2642, 2730, 3778, 3829, 4099, 4241, 4508, 4508, 4859, 6454, 7013, 7179, 7281, 7468, 7897, 12044, 12669, 14316, 17940, 20258, 27094, 35100, 39014, 39363, 39757, 40932, 41856, 43445, 57289, 69021 ]
3
[ 0, 20, 5, 18, 10, 6, 25, 29, 8, 95, 6, 35, 61, 22, 10, 36, 81, 51, 1, 1, 13, 24, 4, 33, 29, 2, 31, 19, 20, 18, 2, 8, 27, 19, 5, 117, 207, 31, 58, 25, 105, 49, 3, 4, 887, 216, 43, 123, 88, 1048, 51, 270, 142, 267, 0, 351, 1595, 559, 166, 102, 187, 429, 4147, 625, 1647, 3624, 2318, 6836, 8006, 3914, 349, 394, 1175, 924, 1589, 13844, 11732 ]
77
556
[ 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 1, 1, 3, 6, 8, 9, 9, 11, 13, 15, 16, 22, 27, 27, 29, 34, 34, 35, 37, 38, 45, 47, 50, 58, 62, 64, 68, 75, 76, 89, 91, 92, 95, 162, 173, 232, 251, 277, 278, 297, 302, 314, 319, 329, 389, 498, 708, 784, 898, 926, 1058 ]
3
[ 0, 1, 0, 2, 3, 2, 1, 0, 2, 2, 2, 1, 6, 5, 0, 2, 5, 0, 1, 2, 1, 7, 2, 3, 8, 4, 2, 4, 7, 1, 13, 2, 1, 3, 67, 11, 59, 19, 26, 1, 19, 5, 12, 5, 10, 60, 109, 210, 76, 114, 28, 132 ]
52
557
[ 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0 ]
[ 0, 10, 29, 36, 37, 41, 48, 67, 76, 88, 108, 139, 141, 147, 189, 201, 250, 253, 297, 302, 309, 319, 324, 350, 364, 369, 382, 427, 454, 487, 607, 652, 670, 711, 832, 863, 924, 931, 1118, 1209, 1230, 1511, 1777, 2170, 2433, 2704, 2776, 2945, 3105, 3465, 5899, 6704, 7062, 15873, 18174, 23105, 23121, 23142, 36053 ]
3
[ 0, 10, 19, 7, 1, 4, 7, 19, 9, 12, 20, 31, 2, 6, 42, 12, 49, 3, 44, 5, 7, 10, 5, 26, 14, 5, 13, 45, 27, 33, 120, 45, 18, 41, 121, 31, 61, 7, 187, 91, 21, 281, 266, 393, 263, 271, 72, 169, 160, 360, 2434, 805, 358, 8811, 2301, 4931, 16, 21, 12911 ]
59
558
[ 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0 ]
[ 0, 1, 6, 14, 14, 14, 17, 17, 22, 24, 32, 34, 37, 40, 55, 57, 65, 67, 74, 94, 100, 103, 113, 113, 114, 121, 129, 137, 176, 177, 185, 185, 187, 191, 275, 305, 316, 336, 363, 369, 381, 391, 406, 448, 479, 487, 685, 702, 713, 750, 794, 1186, 1307, 1310, 2147, 2351, 4697, 89232, 90695 ]
3
[ 0, 1, 5, 8, 0, 0, 3, 0, 5, 2, 8, 2, 3, 3, 15, 2, 8, 2, 7, 20, 6, 3, 10, 0, 1, 7, 8, 8, 39, 1, 8, 0, 2, 4, 84, 30, 11, 20, 27, 6, 12, 10, 15, 42, 31, 8, 198, 17, 11, 37, 44, 392, 121, 3, 837, 204, 2346, 84535, 1463 ]
59
559
[ 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0 ]
[ 0, 13, 18, 20, 23, 30, 54, 86, 98, 103, 108, 110, 127, 134, 134, 150, 161, 178, 181, 191, 199, 201, 205, 219, 245, 251, 275, 296, 296, 297, 299, 356, 368, 417, 424, 440, 508, 523, 533, 583, 605, 856, 860, 902, 916, 950, 952, 1015, 1043, 1066, 1164, 1256, 1538, 2031, 2117, 2410, 2646, 2760, 2786, 3038, 3608, 3906, 4187, 4307, 4678, 5391, 6051, 6378, 6640, 10507, 10531, 12083, 12551, 22275, 43194, 64688, 189380, 193186 ]
3
[ 0, 13, 5, 2, 3, 7, 24, 32, 12, 5, 5, 2, 17, 7, 0, 16, 11, 17, 3, 10, 8, 2, 4, 14, 26, 6, 24, 21, 0, 1, 2, 57, 12, 49, 7, 16, 68, 15, 10, 50, 22, 251, 4, 42, 14, 34, 2, 63, 28, 23, 98, 92, 282, 493, 86, 293, 236, 114, 26, 252, 570, 298, 281, 120, 371, 713, 660, 327, 262, 3867, 24, 1552, 468, 9724, 20919, 21494, 124692, 3806 ]
78
560
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0 ]
[ 0, 18, 19, 21, 22, 26, 27, 27, 27, 30, 30, 32, 33, 34, 35, 36, 38, 42, 101, 104, 105, 108, 115, 118, 119, 121, 122, 129, 131, 133, 135, 149, 152, 153, 158, 159, 165, 175, 175, 176, 181, 181, 200, 201, 214, 219, 224, 231, 232, 236, 251, 251, 255, 265, 265, 271, 276, 312, 373, 380, 390, 430, 434, 458, 476, 522, 524, 547, 548, 635, 637, 662, 679, 789, 820, 920, 935, 942, 960, 968, 1021, 1084, 1310, 1445, 1502, 1537, 1577, 1646, 1658, 1671, 1735, 1756, 1959, 1981, 2038, 2263, 2457, 2474, 2666, 2716, 3049, 3089, 3238, 3852, 3967, 4636, 4983, 6527, 7667, 8019, 8300, 8687, 9312, 9627, 10028, 10980, 11648, 12416, 13848, 17427, 19742, 27748, 43181, 54026, 78930, 129271, 129271 ]
3
[ 0, 18, 1, 2, 1, 4, 1, 0, 0, 3, 0, 2, 1, 1, 1, 1, 2, 4, 59, 3, 1, 3, 7, 3, 1, 2, 1, 7, 2, 2, 2, 14, 3, 1, 5, 1, 6, 10, 0, 1, 5, 0, 19, 1, 13, 5, 5, 7, 1, 4, 15, 0, 4, 10, 0, 6, 5, 36, 61, 7, 10, 40, 4, 24, 18, 46, 2, 23, 1, 87, 2, 25, 17, 110, 31, 100, 15, 7, 18, 8, 53, 63, 226, 135, 57, 35, 40, 69, 12, 13, 64, 21, 203, 22, 57, 225, 194, 17, 192, 50, 333, 40, 149, 614, 115, 669, 347, 1544, 1140, 352, 281, 387, 625, 315, 401, 952, 668, 768, 1432, 3579, 2315, 8006, 15433, 10845, 24904, 50341, 0 ]
127
561
[ 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 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, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1 ]
[ 0, 8, 13, 15, 28, 31, 31, 32, 38, 40, 45, 68, 70, 80, 86, 88, 92, 92, 93, 98, 109, 120, 136, 146, 193, 208, 210, 280, 326, 447, 535, 598, 887, 915, 985, 1068, 1543, 1969, 2141, 2272, 2392, 2470, 2670, 2675, 2733, 3945, 4697, 5753, 5817, 6215, 12033, 12112, 57314, 73451, 73701, 75999, 77292 ]
3
[ 0, 8, 5, 2, 13, 3, 0, 1, 6, 2, 5, 23, 2, 10, 6, 2, 4, 0, 1, 5, 11, 11, 16, 10, 47, 15, 2, 70, 46, 121, 88, 63, 289, 28, 70, 83, 475, 426, 172, 131, 120, 78, 200, 5, 58, 1212, 752, 1056, 64, 398, 5818, 79, 45202, 16137, 250, 2298, 1293 ]
57
562
[ 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0 ]
[ 0, 45, 58, 75, 137, 182, 224, 302, 377, 391, 471, 499, 523, 598, 726, 784, 837, 949, 1132, 1272, 1334, 1600, 1660, 1719, 1951, 2128, 2304, 2393, 2738, 3279, 4351, 4549, 4878, 5984, 6681, 11913, 12081, 13502, 15539, 15648, 15974, 16982, 18264, 18425, 18970, 24362, 26161, 30809, 31205, 38583, 38621, 38652, 40170, 40485, 40485, 40657, 43058, 47041, 49288, 49869, 50740, 57786, 67030, 118411, 128601, 146873, 200398, 218780, 231784, 237632, 346565, 346874, 487492, 515647, 516200 ]
3
[ 0, 45, 13, 17, 62, 45, 42, 78, 75, 14, 80, 28, 24, 75, 128, 58, 53, 112, 183, 140, 62, 266, 60, 59, 232, 177, 176, 89, 345, 541, 1072, 198, 329, 1106, 697, 5232, 168, 1421, 2037, 109, 326, 1008, 1282, 161, 545, 5392, 1799, 4648, 396, 7378, 38, 31, 1518, 315, 0, 172, 2401, 3983, 2247, 581, 871, 7046, 9244, 51381, 10190, 18272, 53525, 18382, 13004, 5848, 108933, 309, 140618, 28155, 553 ]
75
563
[ 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0 ]
[ 0, 1, 3, 9, 10, 21, 26, 28, 54, 62, 69, 71, 72, 73, 76, 89, 103, 115, 120, 153, 158, 164, 165, 171, 191, 200, 220, 222, 223, 227, 240, 280, 293, 307, 320, 374, 389, 392, 462, 510, 527, 564, 564, 623, 630, 667, 752, 770, 797, 808, 842, 865, 885, 918, 929, 951, 1022, 1025, 1034, 1110, 1225, 1234, 1266, 1279, 1392, 1406, 1444, 1445, 1449, 1501, 1524, 1618, 1681, 1710, 1805, 1816, 1865, 1873, 1991, 2184, 2239, 2307, 2590, 2699, 2735, 2751, 2784, 2930, 3203, 3415, 3687, 3964, 4520, 4631, 4833, 5180, 5276, 5430, 5445, 5968, 6462, 6488, 6588, 6650, 6868, 6996, 7112, 7613, 8217, 8753, 8884, 9253, 9621, 11036, 11582, 11582, 11608, 12787, 12897, 12921, 13422, 14486, 15741, 17858, 20502, 23560, 24093, 27754, 28003, 29839, 30005, 55720, 59609, 66586, 67157, 103009, 111674, 496018 ]
3
[ 0, 1, 2, 6, 1, 11, 5, 2, 26, 8, 7, 2, 1, 1, 3, 13, 14, 12, 5, 33, 5, 6, 1, 6, 20, 9, 20, 2, 1, 4, 13, 40, 13, 14, 13, 54, 15, 3, 70, 48, 17, 37, 0, 59, 7, 37, 85, 18, 27, 11, 34, 23, 20, 33, 11, 22, 71, 3, 9, 76, 115, 9, 32, 13, 113, 14, 38, 1, 4, 52, 23, 94, 63, 29, 95, 11, 49, 8, 118, 193, 55, 68, 283, 109, 36, 16, 33, 146, 273, 212, 272, 277, 556, 111, 202, 347, 96, 154, 15, 523, 494, 26, 100, 62, 218, 128, 116, 501, 604, 536, 131, 369, 368, 1415, 546, 0, 26, 1179, 110, 24, 501, 1064, 1255, 2117, 2644, 3058, 533, 3661, 249, 1836, 166, 25715, 3889, 6977, 571, 35852, 8665, 384344 ]
138
564
[ 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 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, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 0, 3, 3, 10, 14, 18, 23, 25, 34, 40, 41, 46, 47, 54, 63, 71, 74, 85, 88, 98, 106, 106, 109, 128, 129, 132, 135, 137, 137, 155, 157, 162, 167, 180, 207, 212, 227, 233, 272, 276, 281, 300, 349, 350, 363, 428, 445, 598, 667, 3718, 3937, 5279, 6590, 10871, 14979, 17316, 18293, 19211, 23635, 25267, 26367, 27884, 27939, 28587, 28648, 29776, 30693, 32350, 32848, 33691, 37089, 37319, 37987, 40344, 40454, 43624, 48078, 49001, 49231, 62134, 70111, 74172, 74448, 116549, 127667 ]
3
[ 0, 3, 0, 7, 4, 4, 5, 2, 9, 6, 1, 5, 1, 7, 9, 8, 3, 11, 3, 10, 8, 0, 3, 19, 1, 3, 3, 2, 0, 18, 2, 5, 5, 13, 27, 5, 15, 6, 39, 4, 5, 19, 49, 1, 13, 65, 17, 153, 69, 3051, 219, 1342, 1311, 4281, 4108, 2337, 977, 918, 4424, 1632, 1100, 1517, 55, 648, 61, 1128, 917, 1657, 498, 843, 3398, 230, 668, 2357, 110, 3170, 4454, 923, 230, 12903, 7977, 4061, 276, 42101, 11118 ]
85
565
[ 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2 ]
[ 0, 4, 13, 16, 20, 23, 26, 32, 34, 39, 41, 41, 51, 61, 65, 69, 82, 86, 87, 88, 89, 104, 120, 124, 150, 169, 207, 294, 344, 389, 416, 441, 471, 536, 585, 638, 651, 671, 678, 687, 735, 876, 938, 972, 1010, 1567, 1769, 1877, 2090, 2167, 2466, 2623, 2848, 3182, 3233, 3440, 3619, 3633, 3635, 3646, 3648, 3686, 3753, 3785, 3788, 3794, 3795, 3803, 3852, 3888, 3889, 3908, 3981, 3991, 4001, 4035, 4039, 4085, 4097, 4114, 4119, 4238, 4240, 4278, 4497, 4538, 4588, 4744, 4805, 4967, 4976, 5101, 5127, 5199, 5308, 5567, 5726, 6431, 6478, 6627, 6687, 7145, 7164, 7268, 7319, 8950, 9793, 9988, 10215, 10335, 10516, 11086, 11098, 11136, 11145, 11152, 11179, 11208, 14214, 14400, 15093, 15370, 18214, 22290, 43564, 43604, 45425, 45466, 46341, 67558, 87560, 89119, 89804, 91073, 91706, 94916, 98839, 100569, 121755, 138800, 163150, 170053, 182510, 273016, 330097, 331264, 453574, 570311, 571029 ]
3
[ 0, 4, 9, 3, 4, 3, 3, 6, 2, 5, 2, 0, 10, 10, 4, 4, 13, 4, 1, 1, 1, 15, 16, 4, 26, 19, 38, 87, 50, 45, 27, 25, 30, 65, 49, 53, 13, 20, 7, 9, 48, 141, 62, 34, 38, 557, 202, 108, 213, 77, 299, 157, 225, 334, 51, 207, 179, 14, 2, 11, 2, 38, 67, 32, 3, 6, 1, 8, 49, 36, 1, 19, 73, 10, 10, 34, 4, 46, 12, 17, 5, 119, 2, 38, 219, 41, 50, 156, 61, 162, 9, 125, 26, 72, 109, 259, 159, 705, 47, 149, 60, 458, 19, 104, 51, 1631, 843, 195, 227, 120, 181, 570, 12, 38, 9, 7, 27, 29, 3006, 186, 693, 277, 2844, 4076, 21274, 40, 1821, 41, 875, 21217, 20002, 1559, 685, 1269, 633, 3210, 3923, 1730, 21186, 17045, 24350, 6903, 12457, 90506, 57081, 1167, 122310, 116737, 718 ]
149
566
[ 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1 ]
[ 0, 5, 6, 8, 12, 17, 20, 21, 23, 25, 28, 28, 31, 33, 34, 35, 35, 85, 86, 87, 88, 90, 91, 94, 96, 96, 98, 99, 101, 102, 107, 107, 116, 119, 120, 120, 127, 130, 137, 137, 140, 147, 149, 150, 150, 152, 152, 153, 153, 154, 169, 170, 171, 173, 175, 178, 181, 184, 186, 187, 196, 200, 207, 208, 211, 215, 219, 220, 220, 227, 234, 234, 240, 244, 247, 255, 256, 258, 261, 267, 267, 268, 272, 274, 283, 286, 288, 340, 345, 393, 406, 414, 429, 439, 448, 469, 473, 486, 498, 519, 524, 533, 542, 560, 561, 647, 656, 665, 672, 678, 708, 743, 751, 755, 774, 885, 946, 1084, 1091, 1101, 1139, 1188, 1393, 1395, 1412, 1419, 1529, 1532, 1537, 1662, 1809, 1853, 1866, 2175, 2184, 2192, 2273, 2289, 2365, 2374, 2377, 2525, 2525, 2635, 2639, 2641, 2751, 2763, 2885, 2961, 3279, 3287, 3337, 3387, 3462, 3464, 3586, 3594, 3710, 3838, 3975, 4491, 4596, 4668, 4707, 4770, 5222, 5490, 5534, 5563, 5697, 5755, 5800, 5801, 5848, 6211, 6261, 6326, 6363, 6461, 6512, 6943, 7734, 8780, 9817, 9972, 10982, 13512, 14429, 14975, 15031, 18200, 20561, 21278, 21815, 24574, 26513, 27469, 27826, 28039, 29101, 29859, 31338, 31344, 33983, 38118, 40234, 40541, 42314, 42378, 43231, 48289, 54348, 60792, 60842, 64370, 64952, 67107, 81717, 84019, 85795, 88910, 91642, 91772, 92087, 98833, 121024, 134505, 172417, 249149, 388343, 413792, 587853 ]
3
[ 0, 5, 1, 2, 4, 5, 3, 1, 2, 2, 3, 0, 3, 2, 1, 1, 0, 50, 1, 1, 1, 2, 1, 3, 2, 0, 2, 1, 2, 1, 5, 0, 9, 3, 1, 0, 7, 3, 7, 0, 3, 7, 2, 1, 0, 2, 0, 1, 0, 1, 15, 1, 1, 2, 2, 3, 3, 3, 2, 1, 9, 4, 7, 1, 3, 4, 4, 1, 0, 7, 7, 0, 6, 4, 3, 8, 1, 2, 3, 6, 0, 1, 4, 2, 9, 3, 2, 52, 5, 48, 13, 8, 15, 10, 9, 21, 4, 13, 12, 21, 5, 9, 9, 18, 1, 86, 9, 9, 7, 6, 30, 35, 8, 4, 19, 111, 61, 138, 7, 10, 38, 49, 205, 2, 17, 7, 110, 3, 5, 125, 147, 44, 13, 309, 9, 8, 81, 16, 76, 9, 3, 148, 0, 110, 4, 2, 110, 12, 122, 76, 318, 8, 50, 50, 75, 2, 122, 8, 116, 128, 137, 516, 105, 72, 39, 63, 452, 268, 44, 29, 134, 58, 45, 1, 47, 363, 50, 65, 37, 98, 51, 431, 791, 1046, 1037, 155, 1010, 2530, 917, 546, 56, 3169, 2361, 717, 537, 2759, 1939, 956, 357, 213, 1062, 758, 1479, 6, 2639, 4135, 2116, 307, 1773, 64, 853, 5058, 6059, 6444, 50, 3528, 582, 2155, 14610, 2302, 1776, 3115, 2732, 130, 315, 6746, 22191, 13481, 37912, 76732, 139194, 25449, 174061 ]
233
567
[ 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 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, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1 ]
[ 0, 11, 12, 15, 18, 21, 38, 38, 40, 41, 42, 43, 57, 58, 61, 64, 77, 83, 92, 92, 95, 117, 124, 140, 142, 175, 184, 198, 199, 209, 213, 213, 230, 279, 281, 307, 313, 336, 341, 367, 377, 442, 469, 602, 646, 664, 665, 692, 728, 731, 760, 771, 808, 829, 842, 868, 873, 876, 910, 926, 971, 1058, 1127, 1139, 1153, 1170, 1195, 1269, 1280, 1365, 1370, 1371, 1392, 1393, 1510, 1531, 1551, 1575, 1577, 1607, 1612, 1695, 1699, 1738, 1745, 1747, 1845, 1898, 1922, 1961, 2046, 2049, 2110, 2141, 2211, 2331, 4999, 10987, 15112, 72561 ]
3
[ 0, 11, 1, 3, 3, 3, 17, 0, 2, 1, 1, 1, 14, 1, 3, 3, 13, 6, 9, 0, 3, 22, 7, 16, 2, 33, 9, 14, 1, 10, 4, 0, 17, 49, 2, 26, 6, 23, 5, 26, 10, 65, 27, 133, 44, 18, 1, 27, 36, 3, 29, 11, 37, 21, 13, 26, 5, 3, 34, 16, 45, 87, 69, 12, 14, 17, 25, 74, 11, 85, 5, 1, 21, 1, 117, 21, 20, 24, 2, 30, 5, 83, 4, 39, 7, 2, 98, 53, 24, 39, 85, 3, 61, 31, 70, 120, 2668, 5988, 4125, 57449 ]
100
568
[ 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 35, 37, 91, 353, 722, 775, 889, 972, 1067, 1246, 1369, 1384, 1962, 2078, 2108, 2186, 2205, 2561, 2683, 2808, 3260, 3405, 3544, 3650, 3734, 4010, 4016, 4196, 5375, 5483, 5492, 6331, 7902, 8663, 8761, 8790, 8792, 9279, 9315, 9384, 9675, 9802, 9956, 9991, 9998, 10128, 11236, 11609, 12432, 13049, 14281, 14639, 14837, 16504, 16683, 16955, 17417, 19345, 19777, 20153, 20470, 21135, 21965, 23558, 24082, 25327, 25382, 25926, 26581, 26815, 27239, 27744, 29399, 30924, 31867, 34042, 36388, 37109, 37815, 42535, 42966, 46109, 46120, 47903, 68829, 98355, 114168, 117947, 121939, 190846, 197493, 277451, 277493, 278915, 285881, 286673, 296302, 324682, 394205, 550099, 553784 ]
3
[ 0, 35, 2, 54, 262, 369, 53, 114, 83, 95, 179, 123, 15, 578, 116, 30, 78, 19, 356, 122, 125, 452, 145, 139, 106, 84, 276, 6, 180, 1179, 108, 9, 839, 1571, 761, 98, 29, 2, 487, 36, 69, 291, 127, 154, 35, 7, 130, 1108, 373, 823, 617, 1232, 358, 198, 1667, 179, 272, 462, 1928, 432, 376, 317, 665, 830, 1593, 524, 1245, 55, 544, 655, 234, 424, 505, 1655, 1525, 943, 2175, 2346, 721, 706, 4720, 431, 3143, 11, 1783, 20926, 29526, 15813, 3779, 3992, 68907, 6647, 79958, 42, 1422, 6966, 792, 9629, 28380, 69523, 155894, 3685 ]
102
569
[ 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 5, 11, 17, 23, 23, 24, 25, 31, 36, 41, 47, 54, 59, 72, 85, 86, 103, 121, 122, 122, 128, 128, 144, 145, 215, 253, 292, 297, 322, 375, 422, 470, 507, 507, 517, 555, 608, 790, 806, 825, 889, 990, 2149, 2250, 2341, 2554, 2723, 2789, 2878, 3429, 3766, 4313, 5141, 6715, 6766, 8822, 9992, 11311, 63622, 407482 ]
3
[ 0, 5, 6, 6, 6, 0, 1, 1, 6, 5, 5, 6, 7, 5, 13, 13, 1, 17, 18, 1, 0, 6, 0, 16, 1, 70, 38, 39, 5, 25, 53, 47, 48, 37, 0, 10, 38, 53, 182, 16, 19, 64, 101, 1159, 101, 91, 213, 169, 66, 89, 551, 337, 547, 828, 1574, 51, 2056, 1170, 1319, 52311, 343860 ]
61
570
[ 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0 ]
[ 0, 1, 10, 25, 36, 56, 60, 60, 69, 71, 75, 100, 105, 106, 111, 118, 119, 120, 137, 144, 147, 276, 297, 324, 472, 486, 532, 550, 561, 597, 621, 636, 693, 749, 814, 840, 875, 899, 919, 928, 973, 1014, 1169, 1213, 1531, 1562, 1620, 1925, 1934, 1938, 2197, 2390, 2793, 2858, 2899, 2911, 3048, 3171, 3349, 3691, 3979, 4186, 4460, 4478, 4742, 4865, 5103, 5120, 6046, 6130, 6363, 6472, 6737, 7363, 7385, 7421, 7684, 7851, 7992, 8228, 8385, 8859, 8971, 10023, 10444, 10887, 10953, 14170, 15130, 15668, 16329, 20309, 22391, 22922, 23927, 25035, 25107, 27400, 27798, 29176, 29309, 30137, 30635, 30822, 31707, 31951, 32231, 38451, 47459, 50692, 57938, 62327, 66181, 116400, 116402 ]
3
[ 0, 1, 9, 15, 11, 20, 4, 0, 9, 2, 4, 25, 5, 1, 5, 7, 1, 1, 17, 7, 3, 129, 21, 27, 148, 14, 46, 18, 11, 36, 24, 15, 57, 56, 65, 26, 35, 24, 20, 9, 45, 41, 155, 44, 318, 31, 58, 305, 9, 4, 259, 193, 403, 65, 41, 12, 137, 123, 178, 342, 288, 207, 274, 18, 264, 123, 238, 17, 926, 84, 233, 109, 265, 626, 22, 36, 263, 167, 141, 236, 157, 474, 112, 1052, 421, 443, 66, 3217, 960, 538, 661, 3980, 2082, 531, 1005, 1108, 72, 2293, 398, 1378, 133, 828, 498, 187, 885, 244, 280, 6220, 9008, 3233, 7246, 4389, 3854, 50219, 2 ]
115
571
[ 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0 ]
[ 0, 3, 4, 10, 20, 26, 30, 31, 33, 33, 33, 34, 36, 44, 46, 51, 51, 51, 52, 66, 71, 84, 86, 90, 93, 98, 108, 113, 117, 119, 125, 126, 138, 138, 152, 154, 178, 195, 200, 202, 210, 255, 265, 267, 270, 270, 284, 326, 392, 432, 438, 465, 473, 500, 508, 541, 566, 593, 605, 611, 643, 672, 697, 708, 743, 850, 874, 900, 942, 977, 1028, 1074, 1205, 1250, 1454, 1535, 1564, 1592, 1598, 1692, 2013, 2029, 2154, 2283, 2467, 2563, 2820, 2934, 3009, 3162, 3950, 4080, 4551, 4646, 4685, 4914, 5176, 5722, 5793, 6039, 6117, 6492, 6502, 6549, 6958, 7479, 7610, 8074, 8322, 8348, 9798, 10480, 10493, 12551, 12807, 13366, 13687, 15096, 16762, 17358, 17393, 18810, 20648, 22408, 24338, 24454, 25768, 29830, 30244, 32275, 32350, 34806, 39882, 49551, 51344, 54485, 54796, 58033, 61987, 63086, 64173, 70090, 70454, 73402, 77906, 83716, 87069, 90567, 91035, 96968, 102772, 117468, 148439 ]
3
[ 0, 3, 1, 6, 10, 6, 4, 1, 2, 0, 0, 1, 2, 8, 2, 5, 0, 0, 1, 14, 5, 13, 2, 4, 3, 5, 10, 5, 4, 2, 6, 1, 12, 0, 14, 2, 24, 17, 5, 2, 8, 45, 10, 2, 3, 0, 14, 42, 66, 40, 6, 27, 8, 27, 8, 33, 25, 27, 12, 6, 32, 29, 25, 11, 35, 107, 24, 26, 42, 35, 51, 46, 131, 45, 204, 81, 29, 28, 6, 94, 321, 16, 125, 129, 184, 96, 257, 114, 75, 153, 788, 130, 471, 95, 39, 229, 262, 546, 71, 246, 78, 375, 10, 47, 409, 521, 131, 464, 248, 26, 1450, 682, 13, 2058, 256, 559, 321, 1409, 1666, 596, 35, 1417, 1838, 1760, 1930, 116, 1314, 4062, 414, 2031, 75, 2456, 5076, 9669, 1793, 3141, 311, 3237, 3954, 1099, 1087, 5917, 364, 2948, 4504, 5810, 3353, 3498, 468, 5933, 5804, 14696, 30971 ]
153
572
[ 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 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, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1 ]
[ 0, 13, 17, 22, 25, 31, 35, 42, 44, 47, 48, 49, 49, 50, 51, 55, 55, 62, 65, 65, 65, 66, 71, 80, 80, 81, 81, 90, 92, 93, 94, 97, 97, 100, 103, 103, 104, 110, 117, 121, 121, 127, 132, 142, 143, 143, 144, 145, 158, 160, 161, 162, 173, 177, 179, 182, 188, 194, 201, 202, 217, 222, 222, 228, 233, 233, 235, 242, 243, 245, 253, 256, 263, 272, 277, 277, 281, 288, 288, 297, 301, 314, 332, 343, 349, 363, 380, 381, 393, 404, 411, 417, 418, 438, 449, 455, 470, 473, 481, 501, 502, 513, 521, 532, 535, 544, 549, 577, 580, 587, 587, 629, 703, 709, 722, 779, 784, 809, 828, 886, 909, 979, 981, 995, 998, 1005, 1014, 1045, 1117, 1145, 1163, 1164, 1167, 1173, 1227, 1238, 1250, 1296, 1353, 1412, 1455, 1501, 1501, 1508, 1508, 1523, 1523, 1651, 1665, 1687, 1776, 1812, 1846, 1894, 1899, 1979, 1985, 2132, 2170, 2235, 2534, 2602, 2637, 2739, 2742, 3125, 3226, 3254, 3303, 3337, 3402, 3468, 3682, 3691, 3710, 3912, 3964, 4058, 4171, 4197, 4514, 4616, 4657, 4844, 4963, 5194, 5199, 5252, 5630, 5875, 5898, 6073, 6754, 7749, 8515, 9289, 9361, 10276, 11733, 12045, 13497, 13682, 16805, 17172, 18812, 34909, 43200, 52361, 56069, 58598, 58778, 58875, 64392, 87307, 87576, 87863, 129877, 142506, 172873, 172904, 176808, 262941, 315148, 343871 ]
3
[ 0, 13, 4, 5, 3, 6, 4, 7, 2, 3, 1, 1, 0, 1, 1, 4, 0, 7, 3, 0, 0, 1, 5, 9, 0, 1, 0, 9, 2, 1, 1, 3, 0, 3, 3, 0, 1, 6, 7, 4, 0, 6, 5, 10, 1, 0, 1, 1, 13, 2, 1, 1, 11, 4, 2, 3, 6, 6, 7, 1, 15, 5, 0, 6, 5, 0, 2, 7, 1, 2, 8, 3, 7, 9, 5, 0, 4, 7, 0, 9, 4, 13, 18, 11, 6, 14, 17, 1, 12, 11, 7, 6, 1, 20, 11, 6, 15, 3, 8, 20, 1, 11, 8, 11, 3, 9, 5, 28, 3, 7, 0, 42, 74, 6, 13, 57, 5, 25, 19, 58, 23, 70, 2, 14, 3, 7, 9, 31, 72, 28, 18, 1, 3, 6, 54, 11, 12, 46, 57, 59, 43, 46, 0, 7, 0, 15, 0, 128, 14, 22, 89, 36, 34, 48, 5, 80, 6, 147, 38, 65, 299, 68, 35, 102, 3, 383, 101, 28, 49, 34, 65, 66, 214, 9, 19, 202, 52, 94, 113, 26, 317, 102, 41, 187, 119, 231, 5, 53, 378, 245, 23, 175, 681, 995, 766, 774, 72, 915, 1457, 312, 1452, 185, 3123, 367, 1640, 16097, 8291, 9161, 3708, 2529, 180, 97, 5517, 22915, 269, 287, 42014, 12629, 30367, 31, 3904, 86133, 52207, 28723 ]
224
573
[ 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0 ]
[ 0, 4, 5, 19, 21, 52, 56, 57, 64, 74, 74, 79, 80, 85, 88, 124, 143, 160, 161, 167, 176, 212, 229, 234, 246, 261, 268, 280, 295, 342, 342, 371, 371, 450, 555, 612, 835, 862, 919, 961, 1062, 2301, 2861, 2934, 3220, 3421, 3593, 3662, 3716, 3996, 4049, 4914, 4976, 5588, 5627, 6596, 6999, 8191, 9063, 9177, 9260, 9474, 11168, 13447, 15418, 15561, 15950, 15989, 16014, 16145, 16857, 17388, 22303, 22421, 22592, 22628, 22677, 23093, 23186, 23596, 23785, 23894, 23915, 23950, 23950, 23969, 23979, 23990, 24012, 24034, 24035, 24035, 24089, 24090, 24096, 24109, 24112, 24128, 24158, 24167, 24247, 24259, 24708, 24984, 25202, 26217, 26766, 26769, 26834, 27422, 27702, 27719, 28331, 31340, 31437, 31842, 34920, 38841, 46721, 49721, 50095, 50119, 50145, 50229, 50237, 50255, 50261, 50292, 50296, 50315, 50600, 50989, 51229, 52338, 53930, 54039, 58669, 63703, 63729, 63730, 63736, 63744, 63766, 63810, 63822, 63842, 63906, 63912, 64038, 64045, 64116, 64122, 64190, 64261, 64364, 65018, 65592, 66100, 72722 ]
3
[ 0, 4, 1, 14, 2, 31, 4, 1, 7, 10, 0, 5, 1, 5, 3, 36, 19, 17, 1, 6, 9, 36, 17, 5, 12, 15, 7, 12, 15, 47, 0, 29, 0, 79, 105, 57, 223, 27, 57, 42, 101, 1239, 560, 73, 286, 201, 172, 69, 54, 280, 53, 865, 62, 612, 39, 969, 403, 1192, 872, 114, 83, 214, 1694, 2279, 1971, 143, 389, 39, 25, 131, 712, 531, 4915, 118, 171, 36, 49, 416, 93, 410, 189, 109, 21, 35, 0, 19, 10, 11, 22, 22, 1, 0, 54, 1, 6, 13, 3, 16, 30, 9, 80, 12, 449, 276, 218, 1015, 549, 3, 65, 588, 280, 17, 612, 3009, 97, 405, 3078, 3921, 7880, 3000, 374, 24, 26, 84, 8, 18, 6, 31, 4, 19, 285, 389, 240, 1109, 1592, 109, 4630, 5034, 26, 1, 6, 8, 22, 44, 12, 20, 64, 6, 126, 7, 71, 6, 68, 71, 103, 654, 574, 508, 6622 ]
159
574
[ 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2 ]
[ 0, 22, 22, 37, 37, 79, 95, 107, 113, 119, 134, 135, 139, 156, 171, 208, 216, 230, 287, 290, 294, 304, 318, 320, 324, 334, 349, 399, 400, 428, 440, 488, 504, 547, 559, 616, 618, 620, 661, 678, 751, 791, 792, 837, 845, 1069, 1095, 1102, 1121, 1151, 1227, 1256, 1330, 1372, 1381, 1428, 1471, 1672, 1694, 1726, 1746, 1799, 1895, 1993, 2050, 2123, 2140, 2155, 2212, 2318, 2352, 2404, 2751, 2905, 2920, 3058, 3259, 3568, 3647, 3673, 3811, 4693, 4827, 4897, 5481, 5544, 5619, 5619, 5641, 5641, 5819, 5932, 6117, 6212, 6274, 6408, 6679, 6849, 6885, 7574, 7810, 8003, 8529, 9166, 10360, 10843, 11918, 12365, 16441, 16540, 16555, 16605, 16774, 17912, 21136, 21211, 35511, 36892 ]
3
[ 0, 22, 0, 15, 0, 42, 16, 12, 6, 6, 15, 1, 4, 17, 15, 37, 8, 14, 57, 3, 4, 10, 14, 2, 4, 10, 15, 50, 1, 28, 12, 48, 16, 43, 12, 57, 2, 2, 41, 17, 73, 40, 1, 45, 8, 224, 26, 7, 19, 30, 76, 29, 74, 42, 9, 47, 43, 201, 22, 32, 20, 53, 96, 98, 57, 73, 17, 15, 57, 106, 34, 52, 347, 154, 15, 138, 201, 309, 79, 26, 138, 882, 134, 70, 584, 63, 75, 0, 22, 0, 178, 113, 185, 95, 62, 134, 271, 170, 36, 689, 236, 193, 526, 637, 1194, 483, 1075, 447, 4076, 99, 15, 50, 169, 1138, 3224, 75, 14300, 1381 ]
118
575
[ 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 22, 94, 125, 222, 277, 277, 318, 323, 372, 380, 382, 431, 510, 529, 565, 569, 573, 652, 727, 773, 835, 1076, 1125, 1202, 1326, 1406, 1442, 1448, 1534, 1566, 1608, 1752, 1849, 2035, 2145, 2153, 2308, 2308, 2344, 2463, 2544, 2617, 3487, 3542, 4170, 4488, 4709, 5665, 8110, 18876, 58688 ]
3
[ 0, 22, 72, 31, 97, 55, 0, 41, 5, 49, 8, 2, 49, 79, 19, 36, 4, 4, 79, 75, 46, 62, 241, 49, 77, 124, 80, 36, 6, 86, 32, 42, 144, 97, 186, 110, 8, 155, 0, 36, 119, 81, 73, 870, 55, 628, 318, 221, 956, 2445, 10766, 39812 ]
52
576
[ 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 0, 26, 27, 29, 34, 44, 46, 48, 52, 57, 83, 88, 103, 110, 111, 117, 128, 128, 136, 136, 147, 156, 182, 182, 191, 192, 209, 216, 220, 225, 227, 246, 249, 255, 269, 276, 294, 305, 310, 318, 337, 382, 416, 509, 548, 636, 687, 724, 822, 966, 1020, 1091, 1400, 1468, 1670, 2013, 2079, 2181, 2307, 2663, 3038, 3066, 3222, 3535, 4742, 8886, 9727, 54930 ]
3
[ 0, 26, 1, 2, 5, 10, 2, 2, 4, 5, 26, 5, 15, 7, 1, 6, 11, 0, 8, 0, 11, 9, 26, 0, 9, 1, 17, 7, 4, 5, 2, 19, 3, 6, 14, 7, 18, 11, 5, 8, 19, 45, 34, 93, 39, 88, 51, 37, 98, 144, 54, 71, 309, 68, 202, 343, 66, 102, 126, 356, 375, 28, 156, 313, 1207, 4144, 841, 45203 ]
68
577
[ 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
[ 0, 527, 710, 1537, 1621, 1710, 2762, 4319, 5870, 5989, 6062, 6088, 6103, 6137, 6151, 6170, 6174, 6180, 6180, 6191, 6197, 6235, 6270, 6274, 6325, 6351, 6420, 6427, 6460, 6479, 6481, 6482, 6498, 6507, 6513, 6517, 6522, 6538, 6547, 6571, 6572, 6603, 6616, 6656, 6695, 6696, 6720, 6842, 6909, 6932, 6948, 6963, 6969, 6991, 7046, 7047, 7070, 7108, 7149, 7235, 7476, 7509, 7564, 7587, 7622, 7664, 7676, 7696, 7709, 7710, 7741, 7781, 7841, 7903, 7951, 7977, 8140, 8318, 8551, 8773, 8960, 9091, 9127, 9621, 9962, 10744, 10777, 10899, 10929, 11001, 11058, 11080, 11489, 11602, 11889, 12415, 12834, 13303, 15370, 15554, 15589, 16002, 16022, 16231, 16238, 16239, 16447, 16622, 16807, 16823, 16921, 17153, 17228, 17255, 17265, 17436, 17537, 17788, 18235, 18287, 18391, 18399, 19481, 19644, 20227, 21022, 21180, 21273, 21351, 21390, 21779, 23083, 23380, 23493, 23744, 23787, 23861, 23948, 23986, 24164, 26079, 26620, 27133, 27321, 27350, 27679, 27695, 27742, 27825, 27830, 27852, 28069, 28170, 29649, 33375, 36241, 37435, 65655, 76460, 82098 ]
3
[ 0, 527, 183, 827, 84, 89, 1052, 1557, 1551, 119, 73, 26, 15, 34, 14, 19, 4, 6, 0, 11, 6, 38, 35, 4, 51, 26, 69, 7, 33, 19, 2, 1, 16, 9, 6, 4, 5, 16, 9, 24, 1, 31, 13, 40, 39, 1, 24, 122, 67, 23, 16, 15, 6, 22, 55, 1, 23, 38, 41, 86, 241, 33, 55, 23, 35, 42, 12, 20, 13, 1, 31, 40, 60, 62, 48, 26, 163, 178, 233, 222, 187, 131, 36, 494, 341, 782, 33, 122, 30, 72, 57, 22, 409, 113, 287, 526, 419, 469, 2067, 184, 35, 413, 20, 209, 7, 1, 208, 175, 185, 16, 98, 232, 75, 27, 10, 171, 101, 251, 447, 52, 104, 8, 1082, 163, 583, 795, 158, 93, 78, 39, 389, 1304, 297, 113, 251, 43, 74, 87, 38, 178, 1915, 541, 513, 188, 29, 329, 16, 47, 83, 5, 22, 217, 101, 1479, 3726, 2866, 1194, 28220, 10805, 5638 ]
160
578
[ 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 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, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 7, 14, 16, 17, 19, 20, 31, 37, 39, 50, 51, 55, 62, 70, 70, 72, 76, 80, 83, 94, 96, 97, 99, 100, 100, 102, 104, 108, 110, 113, 118, 119, 122, 124, 130, 132, 133, 136, 144, 169, 175, 178, 181, 227, 236, 265, 280, 287, 287, 294, 304, 320, 426, 448, 469, 487, 537, 553, 597, 605, 725, 903, 1050, 1136, 1164, 1181, 1216, 1237, 1352, 1355, 1365, 1703, 2759, 2796, 2922, 4142, 6242, 6510, 6940, 7016, 7173, 7360, 7713, 7839, 8608, 9670, 9689, 9720, 9741, 9820, 9926, 10060, 12824, 13588, 13614, 13620, 13641, 13671, 13683, 13691, 13693, 13708, 13724, 13737, 13751, 13784, 13796, 13835, 13857, 13859, 13866, 13911, 13923, 13936, 13968, 14022, 14246, 14313, 14347, 14841, 15722, 15735, 15786, 16916, 17654, 17741, 18119, 19000, 19161, 19314, 21014, 21263, 21336, 24029, 24104, 24866, 26695, 28703, 30731, 30857, 32355, 34142, 34238, 34307, 42147, 45635, 85568, 91379, 100001, 100285, 100937, 102082, 110417, 110418, 110429, 110442, 110455, 110466, 110482, 110494, 110496, 110499, 110529, 110530, 110628, 110768, 110943, 112706, 112714, 112736, 113185, 113549, 113731, 120812, 133819, 154220, 164248, 165178, 168302, 203738, 276419, 277293, 352499, 424252, 454810, 506869, 511664, 517618, 527823, 536349, 542378, 566039 ]
3
[ 0, 7, 7, 2, 1, 2, 1, 11, 6, 2, 11, 1, 4, 7, 8, 0, 2, 4, 4, 3, 11, 2, 1, 2, 1, 0, 2, 2, 4, 2, 3, 5, 1, 3, 2, 6, 2, 1, 3, 8, 25, 6, 3, 3, 46, 9, 29, 15, 7, 0, 7, 10, 16, 106, 22, 21, 18, 50, 16, 44, 8, 120, 178, 147, 86, 28, 17, 35, 21, 115, 3, 10, 338, 1056, 37, 126, 1220, 2100, 268, 430, 76, 157, 187, 353, 126, 769, 1062, 19, 31, 21, 79, 106, 134, 2764, 764, 26, 6, 21, 30, 12, 8, 2, 15, 16, 13, 14, 33, 12, 39, 22, 2, 7, 45, 12, 13, 32, 54, 224, 67, 34, 494, 881, 13, 51, 1130, 738, 87, 378, 881, 161, 153, 1700, 249, 73, 2693, 75, 762, 1829, 2008, 2028, 126, 1498, 1787, 96, 69, 7840, 3488, 39933, 5811, 8622, 284, 652, 1145, 8335, 1, 11, 13, 13, 11, 16, 12, 2, 3, 30, 1, 98, 140, 175, 1763, 8, 22, 449, 364, 182, 7081, 13007, 20401, 10028, 930, 3124, 35436, 72681, 874, 75206, 71753, 30558, 52059, 4795, 5954, 10205, 8526, 6029, 23661 ]
193
579
[ 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0 ]
[ 0, 32, 38, 59, 71, 73, 91, 95, 108, 128, 136, 154, 156, 185, 187, 200, 221, 262, 304, 338, 391, 424, 514, 587, 759, 775, 800, 840, 905, 942, 988, 1138, 1229, 1295, 1345, 1368, 1416, 1525, 2060, 2299, 2317, 2426, 2514, 2547, 2632, 2632, 2659, 2659, 2742, 2796, 2839, 2854, 3017, 3369, 3566, 3900, 4511, 4721, 4809, 4841, 5663, 5748, 6521, 7134, 7259, 7691, 8183, 8496, 21881, 21899, 21927, 21930, 22027, 22096, 22670, 23796, 24510, 181432 ]
3
[ 0, 32, 6, 21, 12, 2, 18, 4, 13, 20, 8, 18, 2, 29, 2, 13, 21, 41, 42, 34, 53, 33, 90, 73, 172, 16, 25, 40, 65, 37, 46, 150, 91, 66, 50, 23, 48, 109, 535, 239, 18, 109, 88, 33, 85, 0, 27, 0, 83, 54, 43, 15, 163, 352, 197, 334, 611, 210, 88, 32, 822, 85, 773, 613, 125, 432, 492, 313, 13385, 18, 28, 3, 97, 69, 574, 1126, 714, 156922 ]
78
580
[ 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0 ]
[ 0, 4, 4, 16, 23, 24, 37, 40, 53, 64, 73, 79, 82, 88, 112, 122, 130, 131, 134, 135, 147, 153, 200, 205, 224, 225, 229, 277, 377, 398, 477, 478, 491, 542, 553, 579, 597, 607, 703, 718, 722, 828, 901, 1027, 1037, 1112, 1142, 1237, 1242, 1510, 1542, 1870, 1874, 2036, 2049, 2254, 2303, 2735, 2868, 2920, 3006, 3040, 4035, 4538, 4624, 5538, 6110, 6160, 9349, 12296, 13252, 21973, 23615, 37063 ]
3
[ 0, 4, 0, 12, 7, 1, 13, 3, 13, 11, 9, 6, 3, 6, 24, 10, 8, 1, 3, 1, 12, 6, 47, 5, 19, 1, 4, 48, 100, 21, 79, 1, 13, 51, 11, 26, 18, 10, 96, 15, 4, 106, 73, 126, 10, 75, 30, 95, 5, 268, 32, 328, 4, 162, 13, 205, 49, 432, 133, 52, 86, 34, 995, 503, 86, 914, 572, 50, 3189, 2947, 956, 8721, 1642, 13448 ]
74
581
[ 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
[ 0, 67, 119, 271, 297, 445, 2156, 2657, 3111, 4821, 4896, 5345, 5598, 5839, 6429, 7664, 8196, 8446, 8513, 8583, 8603, 8673, 8909, 9119, 9295, 9331, 9375, 9404, 9515, 11714, 11772, 11858, 11890, 12025, 12243, 12296, 12383, 12813, 12854, 13071, 13224, 14172, 15815, 17271, 17389, 17428, 17593, 17750, 18390, 18880, 19064, 19751, 19789, 19858, 20596, 20649, 20673, 21426, 22012, 22286, 22765, 23920, 24721, 24750, 24816, 25212, 25824, 25844, 25907, 25940, 25957, 26052, 27105, 27129, 27359, 27369, 27434, 27464, 27792, 27854, 27973, 28211, 29650, 29792, 29845, 30571, 31411, 32733, 34651, 34686, 34747, 34752, 34986, 35143, 35152, 35208, 35360, 35381, 35504, 35618, 35996, 36703, 39129, 39169, 39367 ]
3
[ 0, 67, 52, 152, 26, 148, 1711, 501, 454, 1710, 75, 449, 253, 241, 590, 1235, 532, 250, 67, 70, 20, 70, 236, 210, 176, 36, 44, 29, 111, 2199, 58, 86, 32, 135, 218, 53, 87, 430, 41, 217, 153, 948, 1643, 1456, 118, 39, 165, 157, 640, 490, 184, 687, 38, 69, 738, 53, 24, 753, 586, 274, 479, 1155, 801, 29, 66, 396, 612, 20, 63, 33, 17, 95, 1053, 24, 230, 10, 65, 30, 328, 62, 119, 238, 1439, 142, 53, 726, 840, 1322, 1918, 35, 61, 5, 234, 157, 9, 56, 152, 21, 123, 114, 378, 707, 2426, 40, 198 ]
105
582
[ 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0 ]
[ 0, 1, 2, 10, 15, 19, 22, 22, 22, 26, 28, 30, 37, 42, 42, 46, 49, 49, 49, 51, 52, 61, 66, 71, 71, 71, 71, 72, 75, 76, 78, 84, 91, 94, 95, 97, 104, 105, 112, 115, 119, 135, 137, 144, 149, 149, 161, 175, 177, 185, 198, 206, 211, 226, 232, 233, 235, 249, 253, 258, 258, 261, 274, 275, 278, 292, 296, 323, 352, 356, 362, 368, 399, 409, 429, 437, 446, 456, 461, 461, 465, 470, 474, 491, 499, 511, 526, 534, 546, 546, 553, 558, 582, 599, 603, 607, 609, 636, 639, 643, 681, 750, 782, 785, 807, 816, 843, 909, 921, 934, 953, 959, 971, 1043, 1066, 1180, 1215, 1254, 1330, 1668, 1694, 1763, 1916, 2129, 2147, 2266, 2276, 2292, 2338, 2354, 2460, 2465, 2501, 2515, 2734, 2958, 3202, 3322, 4032, 4337, 4360, 4436, 4454, 4489, 4502, 4907, 4941, 5061, 5431, 6094, 6528, 6726, 6892, 7803, 9124, 12628, 12992, 18214, 18311, 19556, 19572, 22642, 22960, 23255, 23460, 23500, 23512, 23525, 23525, 23544, 23574, 23783, 23791, 23957, 24079, 25103, 25254, 27979, 29284, 29600, 29903, 32071, 46921, 47428, 59922, 61948, 63895, 66259, 66274, 67436, 68354, 68380, 69229, 69295, 69348, 69604, 69942, 70052, 70175, 70602, 71761, 71956, 72057, 72091, 72486, 75433, 80209, 80788, 82569, 88400, 90278, 90951, 92253, 95281, 96112, 98802, 99251, 120121, 127580, 128161, 128454, 146099, 151293, 155163, 162661, 167219, 173452, 176353, 176655, 250205, 281144, 281358, 356167, 539874, 539906, 539933, 539994 ]
3
[ 0, 1, 1, 8, 5, 4, 3, 0, 0, 4, 2, 2, 7, 5, 0, 4, 3, 0, 0, 2, 1, 9, 5, 5, 0, 0, 0, 1, 3, 1, 2, 6, 7, 3, 1, 2, 7, 1, 7, 3, 4, 16, 2, 7, 5, 0, 12, 14, 2, 8, 13, 8, 5, 15, 6, 1, 2, 14, 4, 5, 0, 3, 13, 1, 3, 14, 4, 27, 29, 4, 6, 6, 31, 10, 20, 8, 9, 10, 5, 0, 4, 5, 4, 17, 8, 12, 15, 8, 12, 0, 7, 5, 24, 17, 4, 4, 2, 27, 3, 4, 38, 69, 32, 3, 22, 9, 27, 66, 12, 13, 19, 6, 12, 72, 23, 114, 35, 39, 76, 338, 26, 69, 153, 213, 18, 119, 10, 16, 46, 16, 106, 5, 36, 14, 219, 224, 244, 120, 710, 305, 23, 76, 18, 35, 13, 405, 34, 120, 370, 663, 434, 198, 166, 911, 1321, 3504, 364, 5222, 97, 1245, 16, 3070, 318, 295, 205, 40, 12, 13, 0, 19, 30, 209, 8, 166, 122, 1024, 151, 2725, 1305, 316, 303, 2168, 14850, 507, 12494, 2026, 1947, 2364, 15, 1162, 918, 26, 849, 66, 53, 256, 338, 110, 123, 427, 1159, 195, 101, 34, 395, 2947, 4776, 579, 1781, 5831, 1878, 673, 1302, 3028, 831, 2690, 449, 20870, 7459, 581, 293, 17645, 5194, 3870, 7498, 4558, 6233, 2901, 302, 73550, 30939, 214, 74809, 183707, 32, 27, 61 ]
237
583
[ 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1 ]
[ 0, 10, 27, 30, 31, 35, 45, 51, 64, 70, 74, 75, 77, 89, 91, 93, 103, 106, 109, 128, 147, 154, 163, 166, 331, 334, 350, 473, 618, 643, 734, 928, 989, 1416, 1588, 2579, 2712, 3478, 3992, 10328, 16662, 18358, 19219, 22635, 23588, 25351, 27711, 61694, 71578, 91010, 91660, 93215, 93783, 98980, 114919, 149554, 156786, 157112, 157561, 170199, 170492, 197853, 239267, 239436, 258376, 290415, 364802, 373088, 376640, 426459, 432416, 446665, 469794, 589833, 603967 ]
3
[ 0, 10, 17, 3, 1, 4, 10, 6, 13, 6, 4, 1, 2, 12, 2, 2, 10, 3, 3, 19, 19, 7, 9, 3, 165, 3, 16, 123, 145, 25, 91, 194, 61, 427, 172, 991, 133, 766, 514, 6336, 6334, 1696, 861, 3416, 953, 1763, 2360, 33983, 9884, 19432, 650, 1555, 568, 5197, 15939, 34635, 7232, 326, 449, 12638, 293, 27361, 41414, 169, 18940, 32039, 74387, 8286, 3552, 49819, 5957, 14249, 23129, 120039, 14134 ]
75
584
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0 ]
[ 0, 26, 31, 37, 46, 71, 74, 75, 103, 108, 120, 250, 547, 614, 632, 727, 736, 845, 865, 880, 1094, 1130, 1263, 1661, 1687, 1788, 1850, 2535, 3046, 3208, 3267, 3815, 3971, 4159, 4444, 4553, 4685, 4990, 5190, 5381, 5424, 5509, 5510, 5707, 6212, 7049, 8065, 9139, 12499, 12857, 13178, 13477, 14074, 14505, 16787, 18448, 25027, 26794, 27419, 32711, 33401, 37059, 38783, 39105, 42965, 55339, 72797, 81765, 99315, 107046, 116138, 187291, 303428 ]
3
[ 0, 26, 5, 6, 9, 25, 3, 1, 28, 5, 12, 130, 297, 67, 18, 95, 9, 109, 20, 15, 214, 36, 133, 398, 26, 101, 62, 685, 511, 162, 59, 548, 156, 188, 285, 109, 132, 305, 200, 191, 43, 85, 1, 197, 505, 837, 1016, 1074, 3360, 358, 321, 299, 597, 431, 2282, 1661, 6579, 1767, 625, 5292, 690, 3658, 1724, 322, 3860, 12374, 17458, 8968, 17550, 7731, 9092, 71153, 116137 ]
73
585
[ 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0 ]
[ 0, 15, 23, 24, 25, 26, 38, 45, 52, 65, 78, 89, 89, 100, 167, 191, 217, 245, 307, 319, 326, 357, 377, 383, 414, 447, 465, 491, 518, 609, 626, 696, 721, 730, 742, 742, 766, 766, 766, 766, 825, 838, 913, 990, 1019, 1070, 1105, 1439, 1469, 1478, 1529, 1584, 1622, 1623, 1664, 1764, 1917, 1936, 2021, 2069, 2167, 2199, 2355, 2401, 2485, 2592, 2656, 2723, 2759, 2799, 2893, 2929, 2939, 2941, 2949, 2975, 3142, 3158, 3285, 3341, 3347, 3711, 3713, 3877, 3945, 3995, 4152, 4221, 4236, 4257, 4319, 4490, 4532, 5151, 5336, 5416, 5884, 6296, 6605, 7108, 7171, 7220, 7421, 7710, 7990, 8365, 8474, 8671, 8894, 9405, 9444, 10209, 10690, 10694, 10861, 11349, 12183, 12189, 12541, 13224, 14135, 14595, 14926, 16266, 16601, 16623, 16832, 19902, 20242, 20795, 21192, 21652, 21768, 22912, 23057, 23412, 25490, 25844, 28072, 28228, 29679, 29982, 31120, 32758, 38828, 40357, 41555, 41587, 43049, 45284, 46238, 46888, 47908, 49058, 50377, 51532, 54788, 57001, 57857, 61952, 62465, 86477, 88942, 96900, 101325, 103396, 103849, 105408, 125408, 138976, 146718, 150677, 211594, 213038, 265472, 284446, 311351, 434493, 439800, 445643, 496204 ]
3
[ 0, 15, 8, 1, 1, 1, 12, 7, 7, 13, 13, 11, 0, 11, 67, 24, 26, 28, 62, 12, 7, 31, 20, 6, 31, 33, 18, 26, 27, 91, 17, 70, 25, 9, 12, 0, 24, 0, 0, 0, 59, 13, 75, 77, 29, 51, 35, 334, 30, 9, 51, 55, 38, 1, 41, 100, 153, 19, 85, 48, 98, 32, 156, 46, 84, 107, 64, 67, 36, 40, 94, 36, 10, 2, 8, 26, 167, 16, 127, 56, 6, 364, 2, 164, 68, 50, 157, 69, 15, 21, 62, 171, 42, 619, 185, 80, 468, 412, 309, 503, 63, 49, 201, 289, 280, 375, 109, 197, 223, 511, 39, 765, 481, 4, 167, 488, 834, 6, 352, 683, 911, 460, 331, 1340, 335, 22, 209, 3070, 340, 553, 397, 460, 116, 1144, 145, 355, 2078, 354, 2228, 156, 1451, 303, 1138, 1638, 6070, 1529, 1198, 32, 1462, 2235, 954, 650, 1020, 1150, 1319, 1155, 3256, 2213, 856, 4095, 513, 24012, 2465, 7958, 4425, 2071, 453, 1559, 20000, 13568, 7742, 3959, 60917, 1444, 52434, 18974, 26905, 123142, 5307, 5843, 50561 ]
181
586
[ 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1 ]
[ 0, 1, 3, 3, 3, 4, 4, 5, 6, 6, 6, 7, 9, 9, 9, 11, 11, 12, 12, 14, 14, 16, 16, 17, 17, 18, 19, 19, 20, 20, 20, 21, 22, 23, 23, 25, 26, 26, 27, 28, 29, 29, 33, 34, 35, 35, 36, 37, 37, 39, 44, 45, 45, 45, 46, 46, 46, 50, 50, 51, 52, 52, 52, 55, 56, 56, 58, 60, 63, 63, 68, 69, 70, 70, 71, 71, 72, 73, 74, 75, 76, 78, 80, 81, 85, 86, 87, 90, 91, 92, 92, 92, 94, 95, 95, 96, 96, 96, 98, 98, 101, 108, 110, 111, 111, 113, 120, 120, 121, 123, 123, 126, 126, 127, 128, 128, 129, 135, 138, 143, 144, 145, 146, 149, 154, 159, 167, 171, 173, 175, 239, 243, 243, 249, 254, 255, 262, 269, 278, 300, 313, 327, 356, 369, 385, 404, 430, 462, 499, 512, 570, 588, 592, 602, 620, 624, 664, 767, 804, 895, 1123, 1244, 1405, 1551, 1592, 1710, 2285, 2658, 2659, 3109, 3190, 4403, 6151 ]
3
[ 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 4, 1, 1, 0, 1, 1, 0, 2, 5, 1, 0, 0, 1, 0, 0, 4, 0, 1, 1, 0, 0, 3, 1, 0, 2, 2, 3, 0, 5, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 4, 1, 1, 3, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 3, 7, 2, 1, 0, 2, 7, 0, 1, 2, 0, 3, 0, 1, 1, 0, 1, 6, 3, 5, 1, 1, 1, 3, 5, 5, 8, 4, 2, 2, 64, 4, 0, 6, 5, 1, 7, 7, 9, 22, 13, 14, 29, 13, 16, 19, 26, 32, 37, 13, 58, 18, 4, 10, 18, 4, 40, 103, 37, 91, 228, 121, 161, 146, 41, 118, 575, 373, 1, 450, 81, 1213, 1748 ]
173
587
[ 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 6, 32, 85, 89, 95, 122, 146, 163, 217, 217, 240, 255, 282, 299, 369, 428, 534, 668, 702, 786, 1221, 1291, 1356, 1553, 1679, 1704, 1745, 1899, 1977, 1978, 2043, 2181, 2312, 2401, 2651, 2924, 3022, 3076, 3157, 4043, 4116, 4349, 4474, 5285, 7207, 7750, 8038, 8180, 8270, 8324, 12662, 14947, 21264, 21738, 34644 ]
3
[ 0, 6, 26, 53, 4, 6, 27, 24, 17, 54, 0, 23, 15, 27, 17, 70, 59, 106, 134, 34, 84, 435, 70, 65, 197, 126, 25, 41, 154, 78, 1, 65, 138, 131, 89, 250, 273, 98, 54, 81, 886, 73, 233, 125, 811, 1922, 543, 288, 142, 90, 54, 4338, 2285, 6317, 474, 12906 ]
56
588
[ 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1 ]
[ 0, 8, 9, 22, 29, 35, 37, 56, 65, 76, 95, 99, 101, 170, 171, 183, 186, 196, 202, 234, 242, 258, 259, 283, 304, 335, 387, 394, 407, 414, 416, 435, 436, 445, 462, 466, 477, 601, 650, 743, 907, 912, 1019, 1581, 2519, 2705, 3623, 3780, 5468, 10162, 25485, 25540, 25574, 26163, 28801, 43291, 150173, 334032, 413469 ]
3
[ 0, 8, 1, 13, 7, 6, 2, 19, 9, 11, 19, 4, 2, 69, 1, 12, 3, 10, 6, 32, 8, 16, 1, 24, 21, 31, 52, 7, 13, 7, 2, 19, 1, 9, 17, 4, 11, 124, 49, 93, 164, 5, 107, 562, 938, 186, 918, 157, 1688, 4694, 15323, 55, 34, 589, 2638, 14490, 106882, 183859, 79437 ]
59
589
[ 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1 ]
[ 0, 0, 8, 8, 11, 11, 25, 29, 30, 34, 34, 39, 43, 48, 48, 50, 50, 51, 51, 52, 53, 62, 66, 68, 73, 75, 76, 77, 82, 86, 88, 94, 102, 103, 111, 114, 115, 115, 118, 122, 128, 130, 130, 132, 136, 142, 161, 164, 170, 177, 198, 201, 208, 208, 218, 223, 230, 232, 234, 234, 235, 266, 304, 306, 314, 324, 328, 358, 373, 375, 405, 502, 506, 513, 520, 544, 554, 568, 646, 687, 754, 756, 800, 803, 804, 1024, 1066, 1184, 1245, 1354, 1377, 1385, 1422, 1434, 1498, 1532, 1535, 1629, 1748, 1913, 2016, 2021, 2027, 2115, 2133, 2205, 2214, 2294, 2405, 2508, 2802, 2932, 3767, 3861, 3917, 4036, 4657, 4959, 6375, 6774, 6799, 8171, 9826, 12237, 15588, 22560, 24837, 26635, 27836, 33044, 36329, 38454, 46663, 51394, 52759, 55017, 55831, 56426, 69727, 70366, 72877, 82787, 82917, 87634, 114347 ]
3
[ 0, 0, 8, 0, 3, 0, 14, 4, 1, 4, 0, 5, 4, 5, 0, 2, 0, 1, 0, 1, 1, 9, 4, 2, 5, 2, 1, 1, 5, 4, 2, 6, 8, 1, 8, 3, 1, 0, 3, 4, 6, 2, 0, 2, 4, 6, 19, 3, 6, 7, 21, 3, 7, 0, 10, 5, 7, 2, 2, 0, 1, 31, 38, 2, 8, 10, 4, 30, 15, 2, 30, 97, 4, 7, 7, 24, 10, 14, 78, 41, 67, 2, 44, 3, 1, 220, 42, 118, 61, 109, 23, 8, 37, 12, 64, 34, 3, 94, 119, 165, 103, 5, 6, 88, 18, 72, 9, 80, 111, 103, 294, 130, 835, 94, 56, 119, 621, 302, 1416, 399, 25, 1372, 1655, 2411, 3351, 6972, 2277, 1798, 1201, 5208, 3285, 2125, 8209, 4731, 1365, 2258, 814, 595, 13301, 639, 2511, 9910, 130, 4717, 26713 ]
145
590
[ 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0 ]
[ 0, 10, 21, 52, 89, 89, 112, 119, 132, 138, 187, 205, 210, 215, 216, 242, 244, 254, 256, 257, 268, 321, 321, 372, 398, 432, 446, 447, 465, 471, 478, 514, 553, 624, 689, 723, 733, 782, 787, 803, 847, 870, 938, 1007, 1014, 1122, 1192, 1291, 1376, 1384, 1408, 1499, 1565, 1601, 1638, 1638, 1686, 1686, 1764, 1903, 1966, 2007, 2024, 2050, 2158, 2266, 2323, 2459, 2507, 2841, 2900, 2958, 3284, 3321, 3370, 3410, 3433, 3540, 3715, 3788, 3930, 3960, 4025, 4143, 4155, 4720, 4885, 5202, 5326, 5498, 5547, 5548, 5556, 5576, 5782, 6185, 6426, 6734, 6753, 6928, 7229, 7356, 7422, 7667, 7908, 8123, 8163, 8283, 8719, 8987, 9697, 9703, 9816, 10093, 10430, 10884, 10972, 11019, 11223, 11285, 11387, 11751, 11792, 12519, 12725, 13769, 14402, 15361, 19595, 20768, 22914, 23956, 24356, 27649, 28862, 32715, 46799, 54366, 78842, 80298, 108051, 111465, 117966, 208303 ]
3
[ 0, 10, 11, 31, 37, 0, 23, 7, 13, 6, 49, 18, 5, 5, 1, 26, 2, 10, 2, 1, 11, 53, 0, 51, 26, 34, 14, 1, 18, 6, 7, 36, 39, 71, 65, 34, 10, 49, 5, 16, 44, 23, 68, 69, 7, 108, 70, 99, 85, 8, 24, 91, 66, 36, 37, 0, 48, 0, 78, 139, 63, 41, 17, 26, 108, 108, 57, 136, 48, 334, 59, 58, 326, 37, 49, 40, 23, 107, 175, 73, 142, 30, 65, 118, 12, 565, 165, 317, 124, 172, 49, 1, 8, 20, 206, 403, 241, 308, 19, 175, 301, 127, 66, 245, 241, 215, 40, 120, 436, 268, 710, 6, 113, 277, 337, 454, 88, 47, 204, 62, 102, 364, 41, 727, 206, 1044, 633, 959, 4234, 1173, 2146, 1042, 400, 3293, 1213, 3853, 14084, 7567, 24476, 1456, 27753, 3414, 6501, 90337 ]
144
591
[ 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 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, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 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, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0 ]
[ 0, 35, 40, 61, 63, 74, 88, 90, 107, 138, 162, 179, 181, 190, 198, 210, 213, 218, 246, 257, 350, 359, 446, 472, 561, 565, 638, 741, 773, 779, 869, 992, 1036, 1149, 1644, 2241, 2790, 3185, 3217, 3541, 3557, 3767, 4753, 4822, 5009, 5178, 5432, 6389, 6754, 6952, 8096, 8761, 10010, 10576, 11412, 13671, 14379, 16813, 32610, 33389, 41405, 57672, 63598, 63631, 64458, 64718, 64809, 65746, 65834, 66466, 67487, 68032, 68427, 70799, 71663, 81500, 83695, 84032, 88790, 93220, 98910, 105476, 159744, 280132 ]
3
[ 0, 35, 5, 21, 2, 11, 14, 2, 17, 31, 24, 17, 2, 9, 8, 12, 3, 5, 28, 11, 93, 9, 87, 26, 89, 4, 73, 103, 32, 6, 90, 123, 44, 113, 495, 597, 549, 395, 32, 324, 16, 210, 986, 69, 187, 169, 254, 957, 365, 198, 1144, 665, 1249, 566, 836, 2259, 708, 2434, 15797, 779, 8016, 16267, 5926, 33, 827, 260, 91, 937, 88, 632, 1021, 545, 395, 2372, 864, 9837, 2195, 337, 4758, 4430, 5690, 6566, 54268, 120388 ]
84
592
[ 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0 ]
[ 0, 10, 12, 16, 18, 20, 21, 29, 31, 33, 34, 34, 35, 58, 58, 60, 60, 64, 66, 67, 73, 76, 80, 81, 82, 91, 94, 105, 106, 108, 115, 130, 138, 169, 189, 227, 230, 232, 236, 293, 323, 337, 492, 643, 899, 1365, 1446, 2547, 21164, 29657, 31361, 31887, 32251, 33265, 33679, 41927, 42245, 43456, 46696, 46725, 46995, 48743, 59088, 77000, 77032, 320268 ]
3
[ 0, 10, 2, 4, 2, 2, 1, 8, 2, 2, 1, 0, 1, 23, 0, 2, 0, 4, 2, 1, 6, 3, 4, 1, 1, 9, 3, 11, 1, 2, 7, 15, 8, 31, 20, 38, 3, 2, 4, 57, 30, 14, 155, 151, 256, 466, 81, 1101, 18617, 8493, 1704, 526, 364, 1014, 414, 8248, 318, 1211, 3240, 29, 270, 1748, 10345, 17912, 32, 243236 ]
66
593
[ 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0 ]
[ 0, 0, 8, 13, 17, 27, 35, 45, 76, 124, 135, 178, 180, 185, 205, 263, 542, 560, 624, 718, 755, 757, 824, 878, 881, 902, 946, 979, 1167, 1336, 1405, 1448, 1609, 1671, 2004, 2110, 2423, 2728, 3267, 3435, 3564, 4168, 4244, 4321, 4375, 4498, 4744, 5483, 5819, 5922, 6012, 6255, 6327, 6466, 6559, 7508, 7550, 7587, 7794, 7890, 8249, 8390, 8570, 8647, 9527, 9840, 10730, 11126, 11276, 12071, 12153, 12195, 12823, 12912, 12927, 13431, 13766, 15065, 18607, 20271, 21274, 22585, 22716, 24340, 24942, 25311, 31402, 33765, 33961, 35991, 37160, 38276, 84307, 85359, 85785, 85881, 86576, 87011, 87482, 87887, 93971, 94607, 105312, 108025, 128742, 205429, 348046, 348187, 479047 ]
3
[ 0, 0, 8, 5, 4, 10, 8, 10, 31, 48, 11, 43, 2, 5, 20, 58, 279, 18, 64, 94, 37, 2, 67, 54, 3, 21, 44, 33, 188, 169, 69, 43, 161, 62, 333, 106, 313, 305, 539, 168, 129, 604, 76, 77, 54, 123, 246, 739, 336, 103, 90, 243, 72, 139, 93, 949, 42, 37, 207, 96, 359, 141, 180, 77, 880, 313, 890, 396, 150, 795, 82, 42, 628, 89, 15, 504, 335, 1299, 3542, 1664, 1003, 1311, 131, 1624, 602, 369, 6091, 2363, 196, 2030, 1169, 1116, 46031, 1052, 426, 96, 695, 435, 471, 405, 6084, 636, 10705, 2713, 20717, 76687, 142617, 141, 130860 ]
109
594
[ 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0 ]
[ 0, 2, 6, 7, 10, 11, 13, 15, 19, 69, 69, 73, 75, 78, 78, 81, 82, 86, 92, 100, 103, 105, 116, 127, 127, 137, 145, 148, 155, 156, 162, 171, 174, 249, 256, 270, 314, 315, 318, 327, 438, 522, 530, 547, 690, 809, 811, 859, 865, 881, 1424, 1777, 2029, 2287, 2434, 2562, 2872, 3027, 3490, 3997, 4014, 4363, 4453, 4597, 4748, 5042, 5556, 5605, 5882, 5900, 5914, 5930, 5940, 5973, 5987, 5993, 6010, 6084, 6112, 6295, 6316, 6405, 6830, 6872, 7058, 7664, 9928, 16737, 16852, 18941, 20985, 21730, 25290, 25295, 25355, 25565, 26031, 26034, 26329, 26336, 26359, 26385, 28711, 28819, 28819, 32198, 37765, 45875, 53357, 57433, 58699, 65808, 67886, 69334, 71242, 79839, 81619, 93160, 94364, 94683, 101399, 105902, 106529, 110968, 114138, 121737, 135527, 147093, 176773, 211579, 227055, 290009, 290766, 316606, 337574, 349374, 361631, 370873 ]
3
[ 0, 2, 4, 1, 3, 1, 2, 2, 4, 50, 0, 4, 2, 3, 0, 3, 1, 4, 6, 8, 3, 2, 11, 11, 0, 10, 8, 3, 7, 1, 6, 9, 3, 75, 7, 14, 44, 1, 3, 9, 111, 84, 8, 17, 143, 119, 2, 48, 6, 16, 543, 353, 252, 258, 147, 128, 310, 155, 463, 507, 17, 349, 90, 144, 151, 294, 514, 49, 277, 18, 14, 16, 10, 33, 14, 6, 17, 74, 28, 183, 21, 89, 425, 42, 186, 606, 2264, 6809, 115, 2089, 2044, 745, 3560, 5, 60, 210, 466, 3, 295, 7, 23, 26, 2326, 108, 0, 3379, 5567, 8110, 7482, 4076, 1266, 7109, 2078, 1448, 1908, 8597, 1780, 11541, 1204, 319, 6716, 4503, 627, 4439, 3170, 7599, 13790, 11566, 29680, 34806, 15476, 62954, 757, 25840, 20968, 11800, 12257, 9242 ]
138
595
[ 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1 ]
[ 0, 17, 31, 85, 87, 92, 105, 112, 129, 131, 136, 140, 144, 157, 207, 321, 395, 442, 596, 648, 940, 1126, 1327, 1328, 1331, 1614, 1644, 1859, 2070, 2070, 3038, 3043, 3769, 3967, 4505, 4647, 4989, 6556, 6951, 8102, 8124, 9069, 9447, 9913, 10908, 11265, 13521, 13683, 14027, 14164, 14221, 14631, 15264, 15282, 15612, 15768, 17756, 19336, 19726, 20934, 41852, 50003, 50004, 50006, 50007, 55894, 57578, 111793, 115281, 129570, 147659, 148020, 148035, 159001, 170040, 170362, 204419, 205147, 210935, 217955, 219902, 322033, 330146, 408881, 439878, 440299, 440362, 442881, 509920, 533144, 566469 ]
3
[ 0, 17, 14, 54, 2, 5, 13, 7, 17, 2, 5, 4, 4, 13, 50, 114, 74, 47, 154, 52, 292, 186, 201, 1, 3, 283, 30, 215, 211, 0, 968, 5, 726, 198, 538, 142, 342, 1567, 395, 1151, 22, 945, 378, 466, 995, 357, 2256, 162, 344, 137, 57, 410, 633, 18, 330, 156, 1988, 1580, 390, 1208, 20918, 8151, 1, 2, 1, 5887, 1684, 54215, 3488, 14289, 18089, 361, 15, 10966, 11039, 322, 34057, 728, 5788, 7020, 1947, 102131, 8113, 78735, 30997, 421, 63, 2519, 67039, 23224, 33325 ]
91
596
[ 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 1, 4, 24, 42, 50, 51, 55, 60, 95, 149, 158, 172, 182, 205, 219, 225, 225, 266, 276, 281, 289, 338, 340, 377, 403, 637, 698, 703, 818, 834, 954, 1026, 1123, 1153, 1163, 1170, 1208, 1252, 1253, 1314, 1337, 1391, 1443, 1482, 1485, 1586, 1724, 1805, 1906, 1992, 2086, 2098, 2596, 2712, 2917, 2986, 3047, 3317, 3364, 3372, 3629, 3671, 4029, 4045, 4086, 4377, 4554, 4796, 5613, 5720, 6219, 6504, 6666, 8058, 8308, 9364, 9596, 9778, 11040, 11329, 13482, 19609, 20213, 20633, 24631, 34841, 36021, 36038, 66943, 88927, 106259 ]
3
[ 0, 1, 3, 20, 18, 8, 1, 4, 5, 35, 54, 9, 14, 10, 23, 14, 6, 0, 41, 10, 5, 8, 49, 2, 37, 26, 234, 61, 5, 115, 16, 120, 72, 97, 30, 10, 7, 38, 44, 1, 61, 23, 54, 52, 39, 3, 101, 138, 81, 101, 86, 94, 12, 498, 116, 205, 69, 61, 270, 47, 8, 257, 42, 358, 16, 41, 291, 177, 242, 817, 107, 499, 285, 162, 1392, 250, 1056, 232, 182, 1262, 289, 2153, 6127, 604, 420, 3998, 10210, 1180, 17, 30905, 21984, 17332 ]
92
597
[ 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0 ]
[ 0, 10, 10, 10, 14, 25, 25, 28, 36, 41, 41, 41, 43, 49, 53, 53, 54, 64, 76, 97, 99, 105, 107, 108, 109, 111, 119, 135, 140, 162, 170, 186, 187, 199, 221, 251, 261, 280, 322, 334, 378, 408, 443, 475, 476, 477, 545, 547, 580, 608, 639, 646, 731, 742, 800, 884, 936, 941, 952, 1070, 1189, 1211, 1221, 1248, 1322, 1327, 1402, 1421, 1436, 1438, 1518, 1580, 1704, 1732, 1741, 1853, 2006, 2180, 2291, 2322, 2332, 2408, 2610, 2631, 2695, 2779, 2904, 2920, 3083, 3139, 3316, 3381, 3557, 3723, 4009, 4314, 4449, 5055, 5321, 5735, 6161, 6240, 6411, 6485, 6891, 7512, 7907, 7907, 7988, 8139, 8237, 8983, 9089, 9268, 9606, 9887, 12083, 12317, 12628, 14508, 15469, 15491, 25575, 25589, 36771, 48933, 70116, 77398, 86176, 123079, 156262, 157117, 164105, 183067, 234650 ]
3
[ 0, 10, 0, 0, 4, 11, 0, 3, 8, 5, 0, 0, 2, 6, 4, 0, 1, 10, 12, 21, 2, 6, 2, 1, 1, 2, 8, 16, 5, 22, 8, 16, 1, 12, 22, 30, 10, 19, 42, 12, 44, 30, 35, 32, 1, 1, 68, 2, 33, 28, 31, 7, 85, 11, 58, 84, 52, 5, 11, 118, 119, 22, 10, 27, 74, 5, 75, 19, 15, 2, 80, 62, 124, 28, 9, 112, 153, 174, 111, 31, 10, 76, 202, 21, 64, 84, 125, 16, 163, 56, 177, 65, 176, 166, 286, 305, 135, 606, 266, 414, 426, 79, 171, 74, 406, 621, 395, 0, 81, 151, 98, 746, 106, 179, 338, 281, 2196, 234, 311, 1880, 961, 22, 10084, 14, 11182, 12162, 21183, 7282, 8778, 36903, 33183, 855, 6988, 18962, 51583 ]
135
598
[ 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ]
[ 0, 4, 4, 5, 5, 5, 10, 10, 10, 10, 11, 13, 14, 14, 15, 16, 16, 17, 18, 18, 20, 20, 21, 22, 23, 24, 24, 26, 28, 28, 30, 31, 33, 33, 33, 42, 45, 45, 48, 48, 49, 50, 51, 55, 56, 56, 58, 60, 61, 66, 66, 70, 71, 72, 74, 76, 76, 88, 92, 99, 101, 103, 105, 117, 117, 117, 120, 124, 126, 126, 128, 130, 133, 133, 141, 142, 146, 150, 153, 156, 161, 161, 162, 181, 195, 195, 200, 203, 203, 203, 204, 223, 249, 252, 262, 268, 272, 288, 292, 295, 302, 305, 311, 315, 331, 439, 446, 474, 502, 513, 526, 532, 602, 610, 611, 644, 659, 661, 679, 701, 722, 747, 771, 782, 784, 829, 905, 942, 1008, 1060, 1157, 1335, 1360, 1381, 1478, 1529, 1761, 1834, 1898, 1923, 2044, 2556, 2702, 2719, 2771, 2792, 2836, 2851, 2891, 3128, 3208, 3222, 3452, 3672, 3744, 4008, 4020, 4519, 5114, 5266, 5273, 5325, 5414, 5491, 5606, 5710, 6560, 6653, 6922, 6948, 7100, 7173, 7196, 12785, 13525, 14643, 15479, 15946, 17546, 17603, 18684, 19551, 21651, 21658, 24886, 25672, 25940, 27534, 28196, 32597, 35526, 36377, 37373, 37463, 39150, 45232, 50828, 63473, 66273, 66623, 76865, 91242, 136359, 297596 ]
3
[ 0, 4, 0, 1, 0, 0, 5, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 9, 3, 0, 3, 0, 1, 1, 1, 4, 1, 0, 2, 2, 1, 5, 0, 4, 1, 1, 2, 2, 0, 12, 4, 7, 2, 2, 2, 12, 0, 0, 3, 4, 2, 0, 2, 2, 3, 0, 8, 1, 4, 4, 3, 3, 5, 0, 1, 19, 14, 0, 5, 3, 0, 0, 1, 19, 26, 3, 10, 6, 4, 16, 4, 3, 7, 3, 6, 4, 16, 108, 7, 28, 28, 11, 13, 6, 70, 8, 1, 33, 15, 2, 18, 22, 21, 25, 24, 11, 2, 45, 76, 37, 66, 52, 97, 178, 25, 21, 97, 51, 232, 73, 64, 25, 121, 512, 146, 17, 52, 21, 44, 15, 40, 237, 80, 14, 230, 220, 72, 264, 12, 499, 595, 152, 7, 52, 89, 77, 115, 104, 850, 93, 269, 26, 152, 73, 23, 5589, 740, 1118, 836, 467, 1600, 57, 1081, 867, 2100, 7, 3228, 786, 268, 1594, 662, 4401, 2929, 851, 996, 90, 1687, 6082, 5596, 12645, 2800, 350, 10242, 14377, 45117, 161237 ]
204
599
[ 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0 ]