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, 6, 13, 70, 82, 90, 106, 114, 118, 120, 154, 222, 256, 281, 291, 293, 304, 355, 368, 372, 417, 429, 433, 450, 458, 524, 534, 555, 566, 648, 730, 806, 900, 907, 1005, 1020, 1295, 1397, 1746, 2003, 2557, 2898, 3130, 3206, 3513, 3964, 4293, 4302, 4314, 6000, 9111, 11410, 84715, 512668 ]
3
[ 0, 6, 7, 57, 12, 8, 16, 8, 4, 2, 34, 68, 34, 25, 10, 2, 11, 51, 13, 4, 45, 12, 4, 17, 8, 66, 10, 21, 11, 82, 82, 76, 94, 7, 98, 15, 275, 102, 349, 257, 554, 341, 232, 76, 307, 451, 329, 9, 12, 1686, 3111, 2299, 73305, 427953 ]
54
4,900
[ 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0 ]
[ 0, 176, 201, 216, 234, 240, 296, 316, 336, 344, 379, 505, 557, 638, 803, 833, 866, 871, 898, 924, 936, 966, 997, 1014, 1058, 1061, 1115, 1163, 1173, 1273, 1448, 1729, 1768, 1834, 1927, 1954, 1967, 2058, 2129, 2187, 2188, 2204, 2461, 2472, 2515, 2615, 2905, 2929, 2953, 3022, 3090, 3091, 3105, 3746, 3927, 3975, 4406, 4770, 5042, 5598, 5747, 6391, 6444, 6873, 10245, 10278, 12679, 12881, 15407, 15629, 17171, 18582, 18960, 26570, 36799, 40918, 42130, 43386, 50252, 51579, 65921 ]
3
[ 0, 176, 25, 15, 18, 6, 56, 20, 20, 8, 35, 126, 52, 81, 165, 30, 33, 5, 27, 26, 12, 30, 31, 17, 44, 3, 54, 48, 10, 100, 175, 281, 39, 66, 93, 27, 13, 91, 71, 58, 1, 16, 257, 11, 43, 100, 290, 24, 24, 69, 68, 1, 14, 641, 181, 48, 431, 364, 272, 556, 149, 644, 53, 429, 3372, 33, 2401, 202, 2526, 222, 1542, 1411, 378, 7610, 10229, 4119, 1212, 1256, 6866, 1327, 14342 ]
81
4,901
[ 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1 ]
[ 0, 121, 205, 724, 770, 771, 773, 802, 810, 811, 813, 813, 814, 826, 834, 845, 851, 890, 947, 976, 990, 1010, 1077, 1138, 1200, 1306, 1356, 1435, 1487, 1491, 1507, 1538, 1561, 1562, 1564, 1564, 1607, 1623, 1730, 1765, 1871, 1918, 2066, 2248, 2294, 2389, 2439, 2440, 2448, 2532, 2581, 2657, 2657, 2757, 2948, 3065, 3231, 3560, 3614, 3843, 3998, 4094, 4334, 4427, 4593, 4775, 4974, 5333, 5520, 6036, 6254, 6562, 7262, 8168, 8177, 8807, 9043, 9123, 11862, 12305, 12737, 15148, 15824, 18669, 19485, 43316, 43947, 48691, 49408, 55275, 55666, 57520, 65357, 144956 ]
3
[ 0, 121, 84, 519, 46, 1, 2, 29, 8, 1, 2, 0, 1, 12, 8, 11, 6, 39, 57, 29, 14, 20, 67, 61, 62, 106, 50, 79, 52, 4, 16, 31, 23, 1, 2, 0, 43, 16, 107, 35, 106, 47, 148, 182, 46, 95, 50, 1, 8, 84, 49, 76, 0, 100, 191, 117, 166, 329, 54, 229, 155, 96, 240, 93, 166, 182, 199, 359, 187, 516, 218, 308, 700, 906, 9, 630, 236, 80, 2739, 443, 432, 2411, 676, 2845, 816, 23831, 631, 4744, 717, 5867, 391, 1854, 7837, 79599 ]
94
4,902
[ 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1 ]
[ 0, 2, 10, 14, 15, 16, 17, 18, 20, 38, 39, 40, 51, 64, 66, 78, 79, 81, 95, 97, 110, 123, 141, 143, 154, 167, 246, 287, 291, 295, 380, 921, 1010, 1499, 1556, 1591, 2578, 3162, 3425, 3530, 5283, 5433, 5444, 5542, 5596, 5634, 5951, 6577, 7701, 14555, 19305, 20538, 28415, 31361, 90433, 122930, 198790, 208654, 307090, 518818, 567800, 567800 ]
3
[ 0, 2, 8, 4, 1, 1, 1, 1, 2, 18, 1, 1, 11, 13, 2, 12, 1, 2, 14, 2, 13, 13, 18, 2, 11, 13, 79, 41, 4, 4, 85, 541, 89, 489, 57, 35, 987, 584, 263, 105, 1753, 150, 11, 98, 54, 38, 317, 626, 1124, 6854, 4750, 1233, 7877, 2946, 59072, 32497, 75860, 9864, 98436, 211728, 48982, 0 ]
62
4,903
[ 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 90, 90, 92, 101, 115, 118, 120, 127, 158, 165, 175, 193, 202, 217, 220, 226, 239, 267, 288, 300, 302, 312, 313, 410, 424, 448, 468, 472, 479, 533, 556, 658, 715, 739, 746, 829, 854, 1114, 1118, 1390, 2163, 13978, 30288, 30340, 30374, 30389, 30602, 30766, 30933, 31033, 31159, 31274, 31403, 31716 ]
3
[ 0, 90, 0, 2, 9, 14, 3, 2, 7, 31, 7, 10, 18, 9, 15, 3, 6, 13, 28, 21, 12, 2, 10, 1, 97, 14, 24, 20, 4, 7, 54, 23, 102, 57, 24, 7, 83, 25, 260, 4, 272, 773, 11815, 16310, 52, 34, 15, 213, 164, 167, 100, 126, 115, 129, 313 ]
55
4,904
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 ]
[ 0, 8, 13, 27, 32, 34, 43, 51, 58, 62, 81, 91, 97, 98, 105, 125, 135, 151, 156, 164, 173, 174, 191, 194, 220, 302, 335, 338, 342, 386, 409, 466, 481, 507, 556, 578, 639, 680, 987, 1096, 1121, 1162, 1191, 1252, 1258, 1306, 1542, 1698, 1741, 1867, 1868, 1957, 2034, 2160, 2214, 2436, 2472, 2485, 2559, 2560, 2821, 2911, 3044, 3167, 3590, 3614, 3782, 4190, 4468, 4586, 4859, 5736, 5830, 6015, 6019, 6162, 7911, 8285, 8722, 9677, 10757, 11283, 11380, 11711, 11937, 11952, 12865, 13043, 13476, 15118, 16480, 17925, 24057, 25637, 25745, 31042, 31042, 35272, 40725, 59554, 59926, 65607, 65854, 69211, 74535, 99880, 106423, 112501, 183940, 293382 ]
3
[ 0, 8, 5, 14, 5, 2, 9, 8, 7, 4, 19, 10, 6, 1, 7, 20, 10, 16, 5, 8, 9, 1, 17, 3, 26, 82, 33, 3, 4, 44, 23, 57, 15, 26, 49, 22, 61, 41, 307, 109, 25, 41, 29, 61, 6, 48, 236, 156, 43, 126, 1, 89, 77, 126, 54, 222, 36, 13, 74, 1, 261, 90, 133, 123, 423, 24, 168, 408, 278, 118, 273, 877, 94, 185, 4, 143, 1749, 374, 437, 955, 1080, 526, 97, 331, 226, 15, 913, 178, 433, 1642, 1362, 1445, 6132, 1580, 108, 5297, 0, 4230, 5453, 18829, 372, 5681, 247, 3357, 5324, 25345, 6543, 6078, 71439, 109442 ]
110
4,905
[ 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1 ]
[ 0, 8, 18, 22, 23, 24, 27, 28, 29, 32, 41, 43, 43, 47, 52, 53, 71, 72, 76, 79, 80, 103, 107, 114, 156, 158, 166, 177, 180, 187, 195, 215, 248, 261, 267, 268, 268, 273, 296, 303, 312, 330, 342, 357, 374, 375, 403, 434, 471, 473, 496, 496, 500, 513, 519, 527, 544, 551, 552, 571, 582, 586, 592, 596, 596, 598, 614, 618, 621, 621, 635, 638, 644, 649, 649, 650, 663, 667, 676, 680, 727, 740, 766, 767, 778, 818, 819, 827, 894, 900, 923, 935, 937, 967, 1026, 1036, 1090, 1095, 1184, 1201, 1361, 1434, 1465, 1525, 1545, 1574, 1577, 1635, 1789, 1823, 1860, 2025, 2234, 2416, 2635, 2802, 3144, 3337, 3337, 3468, 3503, 3549, 4149, 4479, 5035, 5211, 5230, 5336, 5684, 6167, 6597, 6695, 8576, 12926, 13219, 17275, 18327, 18442, 19302, 22137, 25374, 26433, 31047, 32733, 36517, 38997, 40814, 41669, 44950, 45353, 47697, 47949, 48111, 48487, 49239, 52342, 56364, 56830, 65866, 66869, 68597, 69982, 70811, 77668, 81937, 84097, 86876, 88096, 88553, 88650, 99698, 99872, 104754, 114643, 126750, 131260, 154019, 157819, 172279, 178514, 204654, 210385, 219039, 232634, 233201, 233601, 243500, 296120, 333183, 415004, 503148, 554076, 584627 ]
3
[ 0, 8, 10, 4, 1, 1, 3, 1, 1, 3, 9, 2, 0, 4, 5, 1, 18, 1, 4, 3, 1, 23, 4, 7, 42, 2, 8, 11, 3, 7, 8, 20, 33, 13, 6, 1, 0, 5, 23, 7, 9, 18, 12, 15, 17, 1, 28, 31, 37, 2, 23, 0, 4, 13, 6, 8, 17, 7, 1, 19, 11, 4, 6, 4, 0, 2, 16, 4, 3, 0, 14, 3, 6, 5, 0, 1, 13, 4, 9, 4, 47, 13, 26, 1, 11, 40, 1, 8, 67, 6, 23, 12, 2, 30, 59, 10, 54, 5, 89, 17, 160, 73, 31, 60, 20, 29, 3, 58, 154, 34, 37, 165, 209, 182, 219, 167, 342, 193, 0, 131, 35, 46, 600, 330, 556, 176, 19, 106, 348, 483, 430, 98, 1881, 4350, 293, 4056, 1052, 115, 860, 2835, 3237, 1059, 4614, 1686, 3784, 2480, 1817, 855, 3281, 403, 2344, 252, 162, 376, 752, 3103, 4022, 466, 9036, 1003, 1728, 1385, 829, 6857, 4269, 2160, 2779, 1220, 457, 97, 11048, 174, 4882, 9889, 12107, 4510, 22759, 3800, 14460, 6235, 26140, 5731, 8654, 13595, 567, 400, 9899, 52620, 37063, 81821, 88144, 50928, 30551 ]
193
4,906
[ 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0 ]
[ 0, 56, 132, 158, 181, 270, 319, 346, 376, 480, 533, 554, 565, 659, 674, 740, 956, 956, 1034, 1111, 1222, 1326, 1536, 1714, 1890, 1946, 1956, 2040, 2238, 2264, 2408, 2678, 4129, 4165, 4386, 4742, 4789, 5057, 5878, 7125, 7811, 8484, 8595, 9273, 10048, 11922, 14305, 14347, 14703, 14737, 15066, 16780, 19968, 20758, 21517, 21766, 22361, 22593, 23158, 23895, 24222, 25852, 26087, 26651, 27452, 28291, 28298, 29671, 29840, 29868, 32733, 33352, 34141, 35172, 36831, 37066, 38165, 38387, 38965, 39272, 39325, 40306, 42462, 45594, 49783, 53587, 60614, 61929, 61963, 62348, 72569, 73846, 77969, 78912, 109496, 424925, 424929, 424931 ]
3
[ 0, 56, 76, 26, 23, 89, 49, 27, 30, 104, 53, 21, 11, 94, 15, 66, 216, 0, 78, 77, 111, 104, 210, 178, 176, 56, 10, 84, 198, 26, 144, 270, 1451, 36, 221, 356, 47, 268, 821, 1247, 686, 673, 111, 678, 775, 1874, 2383, 42, 356, 34, 329, 1714, 3188, 790, 759, 249, 595, 232, 565, 737, 327, 1630, 235, 564, 801, 839, 7, 1373, 169, 28, 2865, 619, 789, 1031, 1659, 235, 1099, 222, 578, 307, 53, 981, 2156, 3132, 4189, 3804, 7027, 1315, 34, 385, 10221, 1277, 4123, 943, 30584, 315429, 4, 2 ]
98
4,907
[ 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0 ]
[ 0, 2, 4, 7, 11, 20, 23, 30, 44, 47, 49, 58, 62, 71, 81, 84, 95, 100, 104, 121, 124, 133, 190, 193, 197, 213, 218, 240, 258, 277, 277, 295, 343, 345, 400, 407, 416, 419, 525, 570, 571, 696, 755, 870, 928, 990, 1037, 1367, 2005, 2251, 2282, 2285, 2299, 2306, 2324, 2327, 2329, 2379, 2468, 2523, 5862, 13353, 23219, 54709, 346663, 346681, 346778, 346815, 346916, 358265 ]
3
[ 0, 2, 2, 3, 4, 9, 3, 7, 14, 3, 2, 9, 4, 9, 10, 3, 11, 5, 4, 17, 3, 9, 57, 3, 4, 16, 5, 22, 18, 19, 0, 18, 48, 2, 55, 7, 9, 3, 106, 45, 1, 125, 59, 115, 58, 62, 47, 330, 638, 246, 31, 3, 14, 7, 18, 3, 2, 50, 89, 55, 3339, 7491, 9866, 31490, 291954, 18, 97, 37, 101, 11349 ]
70
4,908
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0 ]
[ 0, 4, 7, 12, 13, 14, 15, 16, 18, 21, 23, 25, 28, 30, 35, 36, 38, 45, 45, 46, 49, 49, 50, 53, 55, 55, 55, 57, 60, 62, 67, 76, 79, 81, 85, 87, 92, 96, 97, 100, 102, 105, 108, 115, 127, 132, 139, 140, 152, 157, 157, 160, 165, 166, 168, 173, 177, 198, 201, 208, 213, 230, 232, 239, 251, 254, 259, 267, 269, 275, 278, 309, 318, 325, 346, 356, 357, 362, 363, 386, 401, 404, 409, 412, 427, 428, 436, 438, 444, 495, 535, 544, 548, 603, 662, 694, 725, 736, 766, 782, 799, 801, 811, 820, 842, 849, 857, 858, 1006, 1022, 1038, 1046, 1060, 1076, 1095, 1235, 1345, 1365, 1386, 1415, 1435, 1472, 1545, 1559, 1568, 1579, 1644, 1763, 1770, 1777, 1837, 1839, 1877, 1901, 1971, 2025, 2110, 2172, 2212, 2277, 2326, 2372, 2450, 2486, 2492, 2530, 2767, 2851, 2974, 3122, 3124, 3352, 3413, 3429, 3468, 3602, 4058, 4279, 4613, 4843, 4856, 4939, 5125, 5507, 5688, 6189, 6201, 6215, 6235, 6330, 6881, 7187, 7784, 8111, 8519, 8916, 9938, 10383, 10475, 10677, 12153, 12327, 13141, 13493, 13608, 14373, 16622, 16785, 20260, 23300, 24242, 24472, 25370, 27941, 30937, 31680, 32787, 33478, 33484, 36657, 76741, 77168, 80691, 83027, 86089, 86714, 89960, 91280, 91344, 91997, 92062, 92512, 92959, 93676, 100201, 103901, 129654, 162351, 174949, 177698, 181404, 181536, 181832, 186760, 186887, 187723, 232714, 248486, 248790, 248813, 259333, 336366, 339754, 370394, 390424, 411951, 429008, 505028, 524671, 524846, 525743, 599665 ]
3
[ 0, 4, 3, 5, 1, 1, 1, 1, 2, 3, 2, 2, 3, 2, 5, 1, 2, 7, 0, 1, 3, 0, 1, 3, 2, 0, 0, 2, 3, 2, 5, 9, 3, 2, 4, 2, 5, 4, 1, 3, 2, 3, 3, 7, 12, 5, 7, 1, 12, 5, 0, 3, 5, 1, 2, 5, 4, 21, 3, 7, 5, 17, 2, 7, 12, 3, 5, 8, 2, 6, 3, 31, 9, 7, 21, 10, 1, 5, 1, 23, 15, 3, 5, 3, 15, 1, 8, 2, 6, 51, 40, 9, 4, 55, 59, 32, 31, 11, 30, 16, 17, 2, 10, 9, 22, 7, 8, 1, 148, 16, 16, 8, 14, 16, 19, 140, 110, 20, 21, 29, 20, 37, 73, 14, 9, 11, 65, 119, 7, 7, 60, 2, 38, 24, 70, 54, 85, 62, 40, 65, 49, 46, 78, 36, 6, 38, 237, 84, 123, 148, 2, 228, 61, 16, 39, 134, 456, 221, 334, 230, 13, 83, 186, 382, 181, 501, 12, 14, 20, 95, 551, 306, 597, 327, 408, 397, 1022, 445, 92, 202, 1476, 174, 814, 352, 115, 765, 2249, 163, 3475, 3040, 942, 230, 898, 2571, 2996, 743, 1107, 691, 6, 3173, 40084, 427, 3523, 2336, 3062, 625, 3246, 1320, 64, 653, 65, 450, 447, 717, 6525, 3700, 25753, 32697, 12598, 2749, 3706, 132, 296, 4928, 127, 836, 44991, 15772, 304, 23, 10520, 77033, 3388, 30640, 20030, 21527, 17057, 76020, 19643, 175, 897, 73922 ]
242
4,909
[ 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1 ]
[ 0, 7, 17, 17, 21, 23, 31, 32, 33, 36, 46, 46, 49, 62, 71, 75, 79, 94, 96, 103, 104, 128, 154, 163, 170, 190, 193, 221, 223, 224, 260, 274, 277, 281, 291, 301, 342, 376, 388, 388, 389, 410, 458, 498, 546, 559, 564, 630, 642, 891, 897, 968, 1036, 1047, 1050, 1104, 1229, 1272, 1522, 1749, 2431, 2725, 2868, 3402, 3405, 3471, 3476, 4010, 4339, 4852, 5757, 5812, 5886, 6051, 6250, 6980, 19719, 20227, 54018, 54220, 54220, 54877, 56123, 57741, 57773, 57807, 57859, 57912, 58231, 58254, 58367, 58652, 58706, 59298, 59425, 59990, 60970, 65369, 67719, 69788, 72184, 74869, 94651, 136427, 136484, 136531, 136538, 136620, 136659, 136712, 136813, 136882, 136958, 150164, 173209 ]
3
[ 0, 7, 10, 0, 4, 2, 8, 1, 1, 3, 10, 0, 3, 13, 9, 4, 4, 15, 2, 7, 1, 24, 26, 9, 7, 20, 3, 28, 2, 1, 36, 14, 3, 4, 10, 10, 41, 34, 12, 0, 1, 21, 48, 40, 48, 13, 5, 66, 12, 249, 6, 71, 68, 11, 3, 54, 125, 43, 250, 227, 682, 294, 143, 534, 3, 66, 5, 534, 329, 513, 905, 55, 74, 165, 199, 730, 12739, 508, 33791, 202, 0, 657, 1246, 1618, 32, 34, 52, 53, 319, 23, 113, 285, 54, 592, 127, 565, 980, 4399, 2350, 2069, 2396, 2685, 19782, 41776, 57, 47, 7, 82, 39, 53, 101, 69, 76, 13206, 23045 ]
115
4,910
[ 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 6, 10, 37, 39, 44, 49, 52, 58, 78, 84, 94, 106, 124, 125, 130, 154, 158, 164, 178, 181, 193, 222, 251, 264, 293, 318, 327, 411, 427, 459, 471, 479, 661, 663, 745, 870, 904, 1081, 1138, 1156, 1271, 1440, 1589, 1777, 2220, 2339, 2449, 2516, 2624, 2800, 2880, 3117, 3477, 3681, 4387, 4607, 5219, 5853, 6044, 7257, 7394, 8318, 9610, 10131, 10255, 10696, 12940, 15961, 18581, 19138, 20862, 21182, 23272, 25460, 36413, 40170, 43368, 52759, 52824, 52833, 52868, 52879, 52882, 53013, 53168, 53276, 53569, 53767, 54005, 54012, 54782, 70742, 72509, 128298 ]
3
[ 0, 6, 4, 27, 2, 5, 5, 3, 6, 20, 6, 10, 12, 18, 1, 5, 24, 4, 6, 14, 3, 12, 29, 29, 13, 29, 25, 9, 84, 16, 32, 12, 8, 182, 2, 82, 125, 34, 177, 57, 18, 115, 169, 149, 188, 443, 119, 110, 67, 108, 176, 80, 237, 360, 204, 706, 220, 612, 634, 191, 1213, 137, 924, 1292, 521, 124, 441, 2244, 3021, 2620, 557, 1724, 320, 2090, 2188, 10953, 3757, 3198, 9391, 65, 9, 35, 11, 3, 131, 155, 108, 293, 198, 238, 7, 770, 15960, 1767, 55789 ]
95
4,911
[ 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1 ]
[ 0, 1, 12, 13, 18, 18, 22, 33, 36, 41, 41, 47, 51, 54, 55, 56, 65, 74, 78, 82, 88, 88, 94, 99, 100, 103, 105, 106, 112, 114, 116, 117, 128, 133, 138, 149, 152, 156, 161, 161, 163, 164, 169, 175, 187, 205, 225, 226, 229, 236, 242, 264, 275, 276, 299, 302, 304, 322, 334, 344, 345, 369, 373, 383, 405, 414, 417, 436, 438, 441, 449, 450, 459, 463, 471, 504, 524, 532, 540, 552, 564, 578, 585, 587, 589, 606, 636, 651, 700, 702, 729, 733, 738, 742, 747, 757, 792, 804, 813, 836, 881, 886, 888, 929, 931, 931, 1032, 1042, 1066, 1068, 1088, 1113, 1146, 1156, 1183, 1244, 1253, 1253, 1283, 1305, 1344, 1379, 1430, 1430, 1440, 1446, 1528, 1533, 1546, 1553, 1581, 1584, 1602, 1658, 1688, 1728, 1733, 1778, 1888, 1945, 1960, 1981, 2021, 2068, 2097, 2149, 2173, 2198, 2226, 2364, 2389, 2446, 2458, 2472, 2516, 2694, 2769, 2823, 2869, 2929, 3002, 3081, 3100, 3106, 3153, 3167, 3241, 3353, 3466, 3598, 3601, 3954, 4167, 4477, 4477, 4538, 4538, 4608, 4794, 4857, 5024, 5044, 5330, 5340, 5370, 5549, 5570, 5705, 5865, 6103, 6175, 6253, 6292, 6507, 6533, 6552, 6755, 6980, 7033, 7241, 7431, 7471, 8255, 8272, 8689, 8819, 8952, 9328, 9348, 9687, 9964, 9994, 10018, 10893, 11187, 11313, 11783, 11825, 11925, 12146, 12769, 13093, 13471, 13756, 13934, 14371, 14412, 15230, 15331, 15373, 16314, 16671, 17138, 18358, 18444, 19253, 20016, 21312, 23016, 23167, 23904, 27859, 33543, 37617, 45560, 50554, 70815, 71594, 82125, 148329, 152992, 249841 ]
3
[ 0, 1, 11, 1, 5, 0, 4, 11, 3, 5, 0, 6, 4, 3, 1, 1, 9, 9, 4, 4, 6, 0, 6, 5, 1, 3, 2, 1, 6, 2, 2, 1, 11, 5, 5, 11, 3, 4, 5, 0, 2, 1, 5, 6, 12, 18, 20, 1, 3, 7, 6, 22, 11, 1, 23, 3, 2, 18, 12, 10, 1, 24, 4, 10, 22, 9, 3, 19, 2, 3, 8, 1, 9, 4, 8, 33, 20, 8, 8, 12, 12, 14, 7, 2, 2, 17, 30, 15, 49, 2, 27, 4, 5, 4, 5, 10, 35, 12, 9, 23, 45, 5, 2, 41, 2, 0, 101, 10, 24, 2, 20, 25, 33, 10, 27, 61, 9, 0, 30, 22, 39, 35, 51, 0, 10, 6, 82, 5, 13, 7, 28, 3, 18, 56, 30, 40, 5, 45, 110, 57, 15, 21, 40, 47, 29, 52, 24, 25, 28, 138, 25, 57, 12, 14, 44, 178, 75, 54, 46, 60, 73, 79, 19, 6, 47, 14, 74, 112, 113, 132, 3, 353, 213, 310, 0, 61, 0, 70, 186, 63, 167, 20, 286, 10, 30, 179, 21, 135, 160, 238, 72, 78, 39, 215, 26, 19, 203, 225, 53, 208, 190, 40, 784, 17, 417, 130, 133, 376, 20, 339, 277, 30, 24, 875, 294, 126, 470, 42, 100, 221, 623, 324, 378, 285, 178, 437, 41, 818, 101, 42, 941, 357, 467, 1220, 86, 809, 763, 1296, 1704, 151, 737, 3955, 5684, 4074, 7943, 4994, 20261, 779, 10531, 66204, 4663, 96849 ]
252
4,912
[ 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 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, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 2, 10, 30, 42, 66, 66, 83, 84, 94, 103, 113, 116, 117, 127, 133, 139, 146, 146, 154, 162, 165, 166, 175, 207, 227, 278, 289, 324, 359, 404, 405, 432, 454, 503, 549, 620, 708, 775, 777, 826, 844, 928, 1085, 1229, 1481, 1486, 1501, 1502, 1607, 2217, 2282, 2316, 2394, 2507, 2677, 3963, 5000, 5778, 6554, 9703, 12539, 14099, 16113, 16435, 17817, 21776, 29686, 29686, 29789, 31198 ]
3
[ 0, 2, 8, 20, 12, 24, 0, 17, 1, 10, 9, 10, 3, 1, 10, 6, 6, 7, 0, 8, 8, 3, 1, 9, 32, 20, 51, 11, 35, 35, 45, 1, 27, 22, 49, 46, 71, 88, 67, 2, 49, 18, 84, 157, 144, 252, 5, 15, 1, 105, 610, 65, 34, 78, 113, 170, 1286, 1037, 778, 776, 3149, 2836, 1560, 2014, 322, 1382, 3959, 7910, 0, 103, 1409 ]
71
4,913
[ 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0 ]
[ 0, 1, 4, 8, 11, 11, 12, 14, 14, 16, 27, 27, 28, 28, 29, 30, 32, 33, 34, 37, 39, 40, 41, 42, 42, 47, 48, 63, 63, 66, 67, 73, 74, 75, 75, 76, 77, 77, 81, 82, 82, 85, 88, 90, 96, 99, 100, 105, 108, 112, 112, 115, 118, 119, 151, 152, 158, 162, 169, 173, 192, 196, 197, 200, 202, 208, 224, 225, 231, 239, 255, 271, 289, 313, 319, 338, 418, 430, 431, 456, 460, 551, 568, 603, 629, 737, 779, 829, 840, 954, 961, 1050, 1359, 3218, 3223, 7383, 36812, 39076, 39259, 40664, 46254, 46451, 59838, 61490, 64588, 68572, 77591, 122045, 129723, 139633, 237556 ]
3
[ 0, 1, 3, 4, 3, 0, 1, 2, 0, 2, 11, 0, 1, 0, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 0, 5, 1, 15, 0, 3, 1, 6, 1, 1, 0, 1, 1, 0, 4, 1, 0, 3, 3, 2, 6, 3, 1, 5, 3, 4, 0, 3, 3, 1, 32, 1, 6, 4, 7, 4, 19, 4, 1, 3, 2, 6, 16, 1, 6, 8, 16, 16, 18, 24, 6, 19, 80, 12, 1, 25, 4, 91, 17, 35, 26, 108, 42, 50, 11, 114, 7, 89, 309, 1859, 5, 4160, 29429, 2264, 183, 1405, 5590, 197, 13387, 1652, 3098, 3984, 9019, 44454, 7678, 9910, 97923 ]
111
4,914
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1 ]
[ 0, 4, 12, 13, 20, 25, 37, 38, 39, 43, 43, 47, 48, 48, 50, 50, 54, 57, 58, 59, 61, 62, 66, 84, 94, 95, 95, 98, 100, 101, 103, 106, 109, 110, 115, 116, 117, 120, 133, 203, 211, 218, 229, 252, 255, 283, 303, 319, 321, 329, 350, 416, 456, 465, 485, 485, 492, 502, 512, 519, 543, 728, 768, 840, 866, 952, 1053, 1056, 1072, 1189, 1194, 1219, 1232, 1242, 1247, 1266, 1271, 1294, 1358, 1452, 1517, 1628, 1641, 1655, 1697, 1707, 1825, 1971, 2177, 2363, 2389, 2498, 2568, 2571, 2669, 2813, 3038, 3158, 3164, 3325, 3487, 4230, 4571, 4804, 5154, 5309, 6304, 6307, 6325, 6391, 6533, 6701, 6830, 6999, 7062, 7243, 7419, 7483, 7586, 7591, 8401, 8402, 8405, 8473, 8715, 9122, 9364, 9502, 9698, 9928, 10042, 10221, 10341, 11196, 11428, 12193, 12257, 12833, 13140, 13250, 13252, 13401, 13979, 14130, 14566, 14860, 14928, 15558, 15923, 16336, 16682, 17802, 19343, 20209, 21651, 22775, 24526, 25863, 32235, 33974, 40498, 44211, 44455, 55332, 55596, 63810, 64729, 82001, 83662, 141037, 173624 ]
3
[ 0, 4, 8, 1, 7, 5, 12, 1, 1, 4, 0, 4, 1, 0, 2, 0, 4, 3, 1, 1, 2, 1, 4, 18, 10, 1, 0, 3, 2, 1, 2, 3, 3, 1, 5, 1, 1, 3, 13, 70, 8, 7, 11, 23, 3, 28, 20, 16, 2, 8, 21, 66, 40, 9, 20, 0, 7, 10, 10, 7, 24, 185, 40, 72, 26, 86, 101, 3, 16, 117, 5, 25, 13, 10, 5, 19, 5, 23, 64, 94, 65, 111, 13, 14, 42, 10, 118, 146, 206, 186, 26, 109, 70, 3, 98, 144, 225, 120, 6, 161, 162, 743, 341, 233, 350, 155, 995, 3, 18, 66, 142, 168, 129, 169, 63, 181, 176, 64, 103, 5, 810, 1, 3, 68, 242, 407, 242, 138, 196, 230, 114, 179, 120, 855, 232, 765, 64, 576, 307, 110, 2, 149, 578, 151, 436, 294, 68, 630, 365, 413, 346, 1120, 1541, 866, 1442, 1124, 1751, 1337, 6372, 1739, 6524, 3713, 244, 10877, 264, 8214, 919, 17272, 1661, 57375, 32587 ]
171
4,915
[ 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1 ]
[ 0, 1, 2, 4, 5, 9, 9, 10, 11, 11, 17, 17, 18, 19, 22, 22, 24, 25, 28, 30, 32, 35, 36, 37, 38, 39, 40, 43, 43, 44, 44, 45, 46, 51, 52, 52, 53, 53, 54, 58, 58, 63, 63, 64, 65, 67, 68, 71, 74, 74, 80, 88, 91, 92, 93, 93, 96, 102, 112, 115, 123, 123, 128, 128, 130, 130, 133, 134, 134, 135, 135, 145, 145, 153, 156, 156, 157, 162, 166, 167, 174, 174, 179, 193, 200, 202, 207, 209, 216, 222, 242, 256, 266, 269, 305, 322, 338, 384, 397, 502, 527, 538, 617, 680, 714, 731, 813, 1043, 1086, 1109, 1152, 2008, 2381, 2598, 2781, 3061, 3774, 4482, 6105, 7133, 9926, 9949, 11896, 12961, 17904, 31490, 33413, 39226, 203631, 345054, 372181 ]
3
[ 0, 1, 1, 2, 1, 4, 0, 1, 1, 0, 6, 0, 1, 1, 3, 0, 2, 1, 3, 2, 2, 3, 1, 1, 1, 1, 1, 3, 0, 1, 0, 1, 1, 5, 1, 0, 1, 0, 1, 4, 0, 5, 0, 1, 1, 2, 1, 3, 3, 0, 6, 8, 3, 1, 1, 0, 3, 6, 10, 3, 8, 0, 5, 0, 2, 0, 3, 1, 0, 1, 0, 10, 0, 8, 3, 0, 1, 5, 4, 1, 7, 0, 5, 14, 7, 2, 5, 2, 7, 6, 20, 14, 10, 3, 36, 17, 16, 46, 13, 105, 25, 11, 79, 63, 34, 17, 82, 230, 43, 23, 43, 856, 373, 217, 183, 280, 713, 708, 1623, 1028, 2793, 23, 1947, 1065, 4943, 13586, 1923, 5813, 164405, 141423, 27127 ]
131
4,916
[ 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0 ]
[ 0, 2, 5, 6, 6, 9, 9, 10, 11, 11, 12, 13, 14, 15, 15, 15, 15, 19, 21, 22, 24, 25, 26, 26, 27, 28, 29, 30, 30, 32, 32, 33, 34, 35, 36, 37, 40, 43, 51, 54, 58, 60, 60, 63, 65, 65, 68, 69, 71, 74, 80, 81, 81, 82, 83, 84, 84, 85, 86, 88, 91, 91, 98, 110, 114, 115, 117, 122, 123, 126, 129, 130, 131, 136, 138, 142, 142, 147, 162, 165, 170, 174, 174, 176, 185, 190, 207, 211, 213, 216, 231, 235, 242, 263, 268, 277, 277, 279, 280, 283, 291, 330, 338, 343, 349, 378, 388, 391, 410, 426, 429, 433, 465, 539, 600, 688, 716, 831, 842, 983, 1047, 1090, 1094, 1415, 1570, 1635, 1710, 1712, 2030, 2305, 2352, 2720, 2769, 3447, 3555, 3888, 4062, 4066, 4904, 6601, 7158, 7168, 7200, 8077, 8194, 8856, 8984, 9642, 11304, 11547, 12331, 12545, 12566, 13044, 14735, 20701, 24140, 24449, 26842, 28332, 28363, 29959, 30858, 32340, 33000, 33877, 35634, 35807, 38690, 38932, 39817, 41131, 41251, 41263, 41793, 42026, 43404, 43857, 43944, 44418, 44575, 44805, 44813, 44985, 45070, 49077, 49638, 50829, 50864, 53363, 53986, 54070, 56464, 57512, 58521, 59358, 59364, 61715, 61782, 61967, 62848, 64031, 65402, 65509, 66781, 67512, 68059, 68862, 70160, 71929, 73626, 74872, 74915, 87001, 90594, 96684, 98765, 98792, 124066, 129897, 134040, 136671, 140724, 205017, 257891 ]
3
[ 0, 2, 3, 1, 0, 3, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 4, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 3, 3, 8, 3, 4, 2, 0, 3, 2, 0, 3, 1, 2, 3, 6, 1, 0, 1, 1, 1, 0, 1, 1, 2, 3, 0, 7, 12, 4, 1, 2, 5, 1, 3, 3, 1, 1, 5, 2, 4, 0, 5, 15, 3, 5, 4, 0, 2, 9, 5, 17, 4, 2, 3, 15, 4, 7, 21, 5, 9, 0, 2, 1, 3, 8, 39, 8, 5, 6, 29, 10, 3, 19, 16, 3, 4, 32, 74, 61, 88, 28, 115, 11, 141, 64, 43, 4, 321, 155, 65, 75, 2, 318, 275, 47, 368, 49, 678, 108, 333, 174, 4, 838, 1697, 557, 10, 32, 877, 117, 662, 128, 658, 1662, 243, 784, 214, 21, 478, 1691, 5966, 3439, 309, 2393, 1490, 31, 1596, 899, 1482, 660, 877, 1757, 173, 2883, 242, 885, 1314, 120, 12, 530, 233, 1378, 453, 87, 474, 157, 230, 8, 172, 85, 4007, 561, 1191, 35, 2499, 623, 84, 2394, 1048, 1009, 837, 6, 2351, 67, 185, 881, 1183, 1371, 107, 1272, 731, 547, 803, 1298, 1769, 1697, 1246, 43, 12086, 3593, 6090, 2081, 27, 25274, 5831, 4143, 2631, 4053, 64293, 52874 ]
225
4,917
[ 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1 ]
[ 0, 44, 59, 64, 78, 91, 108, 111, 120, 138, 141, 151, 162, 165, 198, 210, 216, 216, 216, 241, 241, 253, 261, 280, 304, 304, 313, 316, 329, 338, 341, 350, 355, 385, 416, 417, 455, 563, 570, 702, 708, 712, 720, 732, 753, 767, 811, 870, 924, 933, 945, 960, 1123, 1155, 1369, 1491, 1505, 1541, 1597, 1607, 1623, 1666, 1783, 2042, 2188, 2221, 2502, 2542, 2551, 2579, 2580, 2606, 2654, 2771, 2781, 3007, 3783, 3983, 4001, 4015, 4179, 4248, 4541, 4642, 4928, 5151, 5303, 6024, 6064, 6072, 6166, 7496, 9349, 9675, 13664, 13963, 32726, 41572, 41941, 42339, 50062, 90200 ]
3
[ 0, 44, 15, 5, 14, 13, 17, 3, 9, 18, 3, 10, 11, 3, 33, 12, 6, 0, 0, 25, 0, 12, 8, 19, 24, 0, 9, 3, 13, 9, 3, 9, 5, 30, 31, 1, 38, 108, 7, 132, 6, 4, 8, 12, 21, 14, 44, 59, 54, 9, 12, 15, 163, 32, 214, 122, 14, 36, 56, 10, 16, 43, 117, 259, 146, 33, 281, 40, 9, 28, 1, 26, 48, 117, 10, 226, 776, 200, 18, 14, 164, 69, 293, 101, 286, 223, 152, 721, 40, 8, 94, 1330, 1853, 326, 3989, 299, 18763, 8846, 369, 398, 7723, 40138 ]
102
4,918
[ 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0 ]
[ 0, 10, 16, 23, 26, 40, 50, 60, 72, 74, 79, 82, 93, 96, 110, 116, 123, 127, 140, 166, 170, 180, 191, 198, 204, 214, 235, 259, 316, 320, 344, 346, 349, 350, 382, 388, 412, 414, 433, 437, 442, 468, 513, 543, 645, 666, 684, 695, 784, 845, 849, 856, 883, 912, 913, 1012, 1024, 1044, 1056, 1230, 1253, 1372, 1499, 1976, 2296, 2970, 3465, 3977, 4624, 6357, 6927, 8470, 9270, 10801, 11532, 15373, 54638 ]
3
[ 0, 10, 6, 7, 3, 14, 10, 10, 12, 2, 5, 3, 11, 3, 14, 6, 7, 4, 13, 26, 4, 10, 11, 7, 6, 10, 21, 24, 57, 4, 24, 2, 3, 1, 32, 6, 24, 2, 19, 4, 5, 26, 45, 30, 102, 21, 18, 11, 89, 61, 4, 7, 27, 29, 1, 99, 12, 20, 12, 174, 23, 119, 127, 477, 320, 674, 495, 512, 647, 1733, 570, 1543, 800, 1531, 731, 3841, 39265 ]
77
4,919
[ 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1 ]
[ 0, 5, 19, 86, 134, 214, 221, 229, 276, 285, 344, 394, 395, 463, 480, 520, 533, 570, 612, 724, 857, 946, 968, 1062, 1093, 1228, 1250, 1270, 1802, 2155, 2710, 2760, 2801, 2894, 3746, 3981, 3989, 5036, 5301, 5899, 6209, 6445, 6623, 12089, 14614, 15376, 15578, 16355, 17404, 18018, 19580, 20950, 25826, 29590, 30851, 43658, 48139 ]
3
[ 0, 5, 14, 67, 48, 80, 7, 8, 47, 9, 59, 50, 1, 68, 17, 40, 13, 37, 42, 112, 133, 89, 22, 94, 31, 135, 22, 20, 532, 353, 555, 50, 41, 93, 852, 235, 8, 1047, 265, 598, 310, 236, 178, 5466, 2525, 762, 202, 777, 1049, 614, 1562, 1370, 4876, 3764, 1261, 12807, 4481 ]
57
4,920
[ 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 2, 5, 13, 24, 27, 32, 33, 33, 37, 39, 42, 43, 48, 52, 55, 56, 57, 64, 74, 79, 88, 112, 117, 139, 144, 163, 163, 165, 170, 171, 171, 182, 184, 185, 186, 188, 204, 226, 226, 228, 253, 285, 292, 334, 338, 373, 461, 514, 576, 629, 644, 688, 690, 704, 714, 897, 927, 1046, 1086, 1102, 1163, 1272, 1555, 2193, 3050, 3203, 3238, 3662, 4079, 4735, 32496, 32560, 33073, 33433, 34977, 45844, 46630, 51714, 52022, 54481, 103111, 412072, 508565, 508817 ]
3
[ 0, 2, 3, 8, 11, 3, 5, 1, 0, 4, 2, 3, 1, 5, 4, 3, 1, 1, 7, 10, 5, 9, 24, 5, 22, 5, 19, 0, 2, 5, 1, 0, 11, 2, 1, 1, 2, 16, 22, 0, 2, 25, 32, 7, 42, 4, 35, 88, 53, 62, 53, 15, 44, 2, 14, 10, 183, 30, 119, 40, 16, 61, 109, 283, 638, 857, 153, 35, 424, 417, 656, 27761, 64, 513, 360, 1544, 10867, 786, 5084, 308, 2459, 48630, 308961, 96493, 252 ]
85
4,921
[ 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1 ]
[ 0, 7, 39, 41, 42, 44, 50, 51, 53, 53, 85, 93, 109, 109, 111, 150, 184, 214, 257, 258, 281, 317, 414, 648, 671, 694, 706, 725, 762, 790, 817, 911, 1130, 1165, 1199, 1224, 1260, 1310, 1351, 1436, 1494, 1508, 1647, 1839, 1880, 2065, 2250, 2266, 2595, 2615, 2698, 2952, 3059, 3236, 3271, 24056, 47764 ]
3
[ 0, 7, 32, 2, 1, 2, 6, 1, 2, 0, 32, 8, 16, 0, 2, 39, 34, 30, 43, 1, 23, 36, 97, 234, 23, 23, 12, 19, 37, 28, 27, 94, 219, 35, 34, 25, 36, 50, 41, 85, 58, 14, 139, 192, 41, 185, 185, 16, 329, 20, 83, 254, 107, 177, 35, 20785, 23708 ]
57
4,922
[ 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1 ]
[ 0, 13, 34, 35, 38, 50, 50, 56, 59, 64, 67, 68, 68, 75, 75, 77, 79, 80, 88, 92, 103, 109, 111, 114, 119, 126, 135, 137, 146, 168, 184, 187, 188, 188, 200, 203, 205, 214, 225, 231, 254, 267, 312, 347, 353, 354, 372, 380, 401, 412, 414, 414, 451, 495, 541, 570, 587, 637, 644, 650, 658, 829, 887, 930, 1143, 1186, 1220, 1292, 1339, 1446, 1526, 1920, 1964, 2417, 2862, 3030, 3284, 3680, 3689, 5298, 5998 ]
3
[ 0, 13, 21, 1, 3, 12, 0, 6, 3, 5, 3, 1, 0, 7, 0, 2, 2, 1, 8, 4, 11, 6, 2, 3, 5, 7, 9, 2, 9, 22, 16, 3, 1, 0, 12, 3, 2, 9, 11, 6, 23, 13, 45, 35, 6, 1, 18, 8, 21, 11, 2, 0, 37, 44, 46, 29, 17, 50, 7, 6, 8, 171, 58, 43, 213, 43, 34, 72, 47, 107, 80, 394, 44, 453, 445, 168, 254, 396, 9, 1609, 700 ]
81
4,923
[ 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
[ 0, 9, 18, 21, 30, 31, 47, 68, 80, 97, 99, 114, 115, 116, 136, 146, 157, 200, 217, 247, 255, 258, 288, 304, 309, 310, 348, 398, 398, 429, 484, 510, 560, 757, 760, 850, 988, 991, 1038, 1061, 1106, 1212, 1245, 1295, 1296, 1326, 1415, 1516, 1536, 1549, 1796, 2050, 2053, 2132, 2315, 2404, 2527, 2619, 2619, 2847, 3241, 3301, 3434, 3782, 3973, 4188, 4222, 5138, 5237, 5537, 5691, 6433, 7199, 7778, 8977, 9136, 10092, 10161, 13762, 22022, 23037, 23195, 26937, 27629, 30247, 31484, 64201, 88399, 121172 ]
3
[ 0, 9, 9, 3, 9, 1, 16, 21, 12, 17, 2, 15, 1, 1, 20, 10, 11, 43, 17, 30, 8, 3, 30, 16, 5, 1, 38, 50, 0, 31, 55, 26, 50, 197, 3, 90, 138, 3, 47, 23, 45, 106, 33, 50, 1, 30, 89, 101, 20, 13, 247, 254, 3, 79, 183, 89, 123, 92, 0, 228, 394, 60, 133, 348, 191, 215, 34, 916, 99, 300, 154, 742, 766, 579, 1199, 159, 956, 69, 3601, 8260, 1015, 158, 3742, 692, 2618, 1237, 32717, 24198, 32773 ]
89
4,924
[ 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1 ]
[ 0, 14, 18, 22, 25, 26, 26, 43, 46, 58, 68, 69, 81, 83, 86, 99, 101, 105, 112, 123, 123, 125, 146, 157, 197, 206, 211, 218, 240, 321, 324, 358, 372, 386, 399, 417, 425, 460, 486, 497, 534, 551, 561, 568, 568, 607, 648, 665, 670, 690, 703, 714, 741, 784, 900, 1212, 1583, 1765, 2725, 2900, 3445, 3450, 3504, 3761, 3885, 6181, 6943, 7089, 7553, 8781, 9545 ]
3
[ 0, 14, 4, 4, 3, 1, 0, 17, 3, 12, 10, 1, 12, 2, 3, 13, 2, 4, 7, 11, 0, 2, 21, 11, 40, 9, 5, 7, 22, 81, 3, 34, 14, 14, 13, 18, 8, 35, 26, 11, 37, 17, 10, 7, 0, 39, 41, 17, 5, 20, 13, 11, 27, 43, 116, 312, 371, 182, 960, 175, 545, 5, 54, 257, 124, 2296, 762, 146, 464, 1228, 764 ]
71
4,925
[ 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0 ]
[ 0, 6, 12, 29, 30, 37, 165, 186, 228, 246, 305, 321, 377, 387, 422, 461, 479, 553, 591, 612, 749, 763, 867, 1051, 1093, 1114, 1253, 1268, 1358, 1605, 1855, 1892, 2535, 2577, 3139, 4490, 5152, 5320, 5562, 5764, 5948, 6490, 7222, 8856, 9248, 10777, 10863, 11426, 14974, 22752 ]
3
[ 0, 6, 6, 17, 1, 7, 128, 21, 42, 18, 59, 16, 56, 10, 35, 39, 18, 74, 38, 21, 137, 14, 104, 184, 42, 21, 139, 15, 90, 247, 250, 37, 643, 42, 562, 1351, 662, 168, 242, 202, 184, 542, 732, 1634, 392, 1529, 86, 563, 3548, 7778 ]
50
4,926
[ 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0 ]
[ 0, 493, 611, 651, 680, 1041, 1370, 1742, 2067, 2162, 2440, 2452, 4084, 4448, 5825, 6295, 7558, 8557, 12766, 12872, 12924, 13141, 13207, 13515, 13666, 13689, 16032, 18200, 20419, 20890, 21089, 22717, 23121, 24021, 24190, 26586, 27245, 29700, 29700, 30034, 30488, 30581, 30718, 30925, 31856, 34595, 35210, 35313, 36464, 37234, 38749, 39984, 40258, 40413, 40571, 41655, 43040, 43176, 48131, 54490, 55461, 55567, 58389, 58940, 59427, 59459, 66394, 67125, 68351, 73923, 74435, 82125, 84640, 103773, 110049, 115801, 133569, 170707, 192607, 193664, 313034, 562555 ]
3
[ 0, 493, 118, 40, 29, 361, 329, 372, 325, 95, 278, 12, 1632, 364, 1377, 470, 1263, 999, 4209, 106, 52, 217, 66, 308, 151, 23, 2343, 2168, 2219, 471, 199, 1628, 404, 900, 169, 2396, 659, 2455, 0, 334, 454, 93, 137, 207, 931, 2739, 615, 103, 1151, 770, 1515, 1235, 274, 155, 158, 1084, 1385, 136, 4955, 6359, 971, 106, 2822, 551, 487, 32, 6935, 731, 1226, 5572, 512, 7690, 2515, 19133, 6276, 5752, 17768, 37138, 21900, 1057, 119370, 249521 ]
82
4,927
[ 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0 ]
[ 0, 5, 17, 18, 21, 22, 33, 37, 42, 50, 51, 52, 82, 83, 95, 98, 121, 154, 202, 202, 243, 344, 369, 399, 404, 409, 536, 570, 584, 657, 669, 1367, 1372, 1469, 1514, 1523, 1532, 1691, 3210, 3384, 3496, 3718, 3888, 3917, 4257, 4610, 4623, 4623, 4653, 4653, 4754, 5328, 5419, 5488, 5769, 6889, 6971, 7117, 7737, 11002, 11614, 12079, 12940, 13172, 13617, 13627, 17496, 17670, 21217, 22149, 49922, 50954, 56241, 64954, 74109, 77480, 78316, 79444, 80842, 83404, 83635, 88769, 170686, 215016, 263232 ]
3
[ 0, 5, 12, 1, 3, 1, 11, 4, 5, 8, 1, 1, 30, 1, 12, 3, 23, 33, 48, 0, 41, 101, 25, 30, 5, 5, 127, 34, 14, 73, 12, 698, 5, 97, 45, 9, 9, 159, 1519, 174, 112, 222, 170, 29, 340, 353, 13, 0, 30, 0, 101, 574, 91, 69, 281, 1120, 82, 146, 620, 3265, 612, 465, 861, 232, 445, 10, 3869, 174, 3547, 932, 27773, 1032, 5287, 8713, 9155, 3371, 836, 1128, 1398, 2562, 231, 5134, 81917, 44330, 48216 ]
85
4,928
[ 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
[ 0, 0, 3, 4, 6, 7, 8, 14, 15, 16, 16, 17, 21, 24, 24, 24, 29, 30, 30, 31, 33, 33, 33, 33, 34, 34, 35, 36, 36, 36, 36, 37, 37, 38, 39, 41, 44, 45, 48, 48, 50, 50, 52, 55, 58, 60, 61, 61, 62, 64, 64, 64, 67, 70, 71, 72, 73, 74, 75, 75, 80, 82, 87, 90, 92, 94, 95, 98, 105, 105, 107, 117, 118, 119, 120, 124, 124, 126, 127, 131, 132, 139, 148, 162, 171, 183, 183, 184, 186, 190, 202, 205, 205, 210, 210, 211, 218, 220, 222, 225, 225, 225, 244, 269, 281, 290, 335, 362, 379, 399, 414, 470, 480, 488, 528, 528, 549, 613, 705, 726, 781, 785, 794, 802, 859, 862, 911, 943, 946, 964, 967, 982, 1002, 1008, 1042, 1098, 1108, 1116, 1120, 1141, 1220, 1222, 1224, 1457, 1796, 3614, 6985, 52382, 511246 ]
3
[ 0, 0, 3, 1, 2, 1, 1, 6, 1, 1, 0, 1, 4, 3, 0, 0, 5, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 3, 1, 3, 0, 2, 0, 2, 3, 3, 2, 1, 0, 1, 2, 0, 0, 3, 3, 1, 1, 1, 1, 1, 0, 5, 2, 5, 3, 2, 2, 1, 3, 7, 0, 2, 10, 1, 1, 1, 4, 0, 2, 1, 4, 1, 7, 9, 14, 9, 12, 0, 1, 2, 4, 12, 3, 0, 5, 0, 1, 7, 2, 2, 3, 0, 0, 19, 25, 12, 9, 45, 27, 17, 20, 15, 56, 10, 8, 40, 0, 21, 64, 92, 21, 55, 4, 9, 8, 57, 3, 49, 32, 3, 18, 3, 15, 20, 6, 34, 56, 10, 8, 4, 21, 79, 2, 2, 233, 339, 1818, 3371, 45397, 458864 ]
149
4,929
[ 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0 ]
[ 0, 17, 33, 57, 290, 304, 305, 306, 307, 308, 310, 310, 311, 312, 314, 315, 316, 318, 319, 320, 323, 328, 329, 334, 338, 350, 369, 395, 411, 432, 437, 479, 490, 541, 973, 1516, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1527, 1555, 1567, 1570, 1571, 1572, 1573, 1585, 2039, 2059, 2073, 20936, 20937, 20937, 20939, 20940, 20949, 20950, 20958, 20959, 20960, 20962, 20964, 20966, 20973, 20986, 20995, 20998, 21020, 21101, 21161, 86204, 86222, 86224, 86225, 86227, 86229, 86231, 86232, 86234, 86235, 86258, 86259, 86277, 86279, 86296, 86301, 86302, 86304, 86306, 86308, 86310, 86311, 86398, 86402, 86407, 86516, 86645 ]
3
[ 0, 17, 16, 24, 233, 14, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 3, 5, 1, 5, 4, 12, 19, 26, 16, 21, 5, 42, 11, 51, 432, 543, 2, 1, 1, 1, 1, 1, 1, 1, 2, 28, 12, 3, 1, 1, 1, 12, 454, 20, 14, 18863, 1, 0, 2, 1, 9, 1, 8, 1, 1, 2, 2, 2, 7, 13, 9, 3, 22, 81, 60, 65043, 18, 2, 1, 2, 2, 2, 1, 2, 1, 23, 1, 18, 2, 17, 5, 1, 2, 2, 2, 2, 1, 87, 4, 5, 109, 129 ]
102
4,930
[ 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0 ]
[ 0, 8, 16, 33, 38, 45, 49, 54, 57, 58, 82, 148, 150, 155, 158, 161, 180, 202, 232, 305, 333, 384, 402, 438, 520, 534, 630, 739, 804, 806, 814, 838, 844, 899, 926, 946, 1063, 1116, 1166, 1173, 1406, 1831, 2009, 2179, 3265, 3308, 3394, 4470, 7327, 12515, 32104, 43524 ]
3
[ 0, 8, 8, 17, 5, 7, 4, 5, 3, 1, 24, 66, 2, 5, 3, 3, 19, 22, 30, 73, 28, 51, 18, 36, 82, 14, 96, 109, 65, 2, 8, 24, 6, 55, 27, 20, 117, 53, 50, 7, 233, 425, 178, 170, 1086, 43, 86, 1076, 2857, 5188, 19589, 11420 ]
52
4,931
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1 ]
[ 0, 9, 11, 13, 16, 22, 25, 28, 33, 34, 50, 52, 62, 63, 66, 76, 89, 92, 95, 95, 98, 99, 100, 110, 124, 151, 172, 174, 186, 205, 212, 237, 256, 284, 290, 307, 325, 352, 365, 371, 378, 383, 392, 396, 422, 439, 510, 584, 640, 662, 936, 948, 987, 993, 1351, 1358, 1503, 1519, 1532, 1755, 1848, 1918, 2208, 2297, 3119, 3190, 4910, 5254, 6262, 8993, 9813, 11475, 14495, 15619, 20969, 22942, 25457, 25554, 27182, 28301, 28481, 29540, 29694, 29898, 30417, 31326, 39880, 42581, 43984, 45238, 53242, 129647 ]
3
[ 0, 9, 2, 2, 3, 6, 3, 3, 5, 1, 16, 2, 10, 1, 3, 10, 13, 3, 3, 0, 3, 1, 1, 10, 14, 27, 21, 2, 12, 19, 7, 25, 19, 28, 6, 17, 18, 27, 13, 6, 7, 5, 9, 4, 26, 17, 71, 74, 56, 22, 274, 12, 39, 6, 358, 7, 145, 16, 13, 223, 93, 70, 290, 89, 822, 71, 1720, 344, 1008, 2731, 820, 1662, 3020, 1124, 5350, 1973, 2515, 97, 1628, 1119, 180, 1059, 154, 204, 519, 909, 8554, 2701, 1403, 1254, 8004, 76405 ]
92
4,932
[ 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1 ]
[ 0, 19, 22, 22, 24, 34, 40, 70, 72, 100, 107, 108, 115, 125, 126, 137, 152, 156, 193, 198, 245, 245, 277, 293, 325, 327, 331, 338, 340, 342, 343, 394, 407, 522, 533, 565, 567, 842, 862, 951, 1283, 1308, 1498, 1667, 1831, 1870, 1971, 2090, 2504, 2570, 2677, 2729, 2730, 2768, 2798, 2858, 2935, 3089, 3334, 3433, 3822, 4119, 4145, 4226, 4500, 4720, 6168, 6206, 6598, 6859, 7243, 7254, 7833, 9456, 9900, 12711, 12770, 13317, 17126, 17559, 17607, 18742, 23715, 25063, 25835, 27986, 32186, 35093, 41566, 68813, 85279, 90866, 166332, 247215, 342768, 352306 ]
3
[ 0, 19, 3, 0, 2, 10, 6, 30, 2, 28, 7, 1, 7, 10, 1, 11, 15, 4, 37, 5, 47, 0, 32, 16, 32, 2, 4, 7, 2, 2, 1, 51, 13, 115, 11, 32, 2, 275, 20, 89, 332, 25, 190, 169, 164, 39, 101, 119, 414, 66, 107, 52, 1, 38, 30, 60, 77, 154, 245, 99, 389, 297, 26, 81, 274, 220, 1448, 38, 392, 261, 384, 11, 579, 1623, 444, 2811, 59, 547, 3809, 433, 48, 1135, 4973, 1348, 772, 2151, 4200, 2907, 6473, 27247, 16466, 5587, 75466, 80883, 95553, 9538 ]
96
4,933
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0 ]
[ 0, 8, 15, 30, 31, 43, 53, 67, 99, 108, 138, 143, 153, 175, 178, 191, 198, 251, 253, 263, 272, 277, 278, 284, 286, 289, 292, 303, 307, 322, 327, 343, 343, 349, 372, 385, 392, 400, 402, 406, 428, 431, 438, 446, 451, 470, 541, 546, 554, 601, 681, 732, 822, 836, 879, 992, 1670, 2084, 2383, 2679, 2801, 3127, 3529, 3671, 3907, 4060, 5519, 5659, 5659, 5953, 11528, 37528, 41078, 44813, 48984 ]
3
[ 0, 8, 7, 15, 1, 12, 10, 14, 32, 9, 30, 5, 10, 22, 3, 13, 7, 53, 2, 10, 9, 5, 1, 6, 2, 3, 3, 11, 4, 15, 5, 16, 0, 6, 23, 13, 7, 8, 2, 4, 22, 3, 7, 8, 5, 19, 71, 5, 8, 47, 80, 51, 90, 14, 43, 113, 678, 414, 299, 296, 122, 326, 402, 142, 236, 153, 1459, 140, 0, 294, 5575, 26000, 3550, 3735, 4171 ]
75
4,934
[ 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1 ]
[ 0, 4520, 4746, 4774, 4798, 4811, 4815, 5464, 63314, 63413, 66793, 66845, 67214, 67434, 68633, 70390, 70752, 70764, 70778, 70840, 70853, 70929, 70960, 71076, 71106, 71113, 71174, 71176, 71207, 71603, 71612, 71707, 71732, 71742, 72396, 72547, 72730, 73295, 76762, 77026, 77189, 77708, 81274, 83808, 84330, 84382, 84516, 84591, 84672, 84704, 84888, 85412, 85481, 86603, 94341, 97324, 97502, 97603, 97641, 97886, 98321, 98678 ]
3
[ 0, 4520, 226, 28, 24, 13, 4, 649, 57850, 99, 3380, 52, 369, 220, 1199, 1757, 362, 12, 14, 62, 13, 76, 31, 116, 30, 7, 61, 2, 31, 396, 9, 95, 25, 10, 654, 151, 183, 565, 3467, 264, 163, 519, 3566, 2534, 522, 52, 134, 75, 81, 32, 184, 524, 69, 1122, 7738, 2983, 178, 101, 38, 245, 435, 357 ]
62
4,935
[ 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1 ]
[ 0, 2, 4, 10, 11, 13, 22, 24, 25, 28, 31, 51, 60, 71, 75, 76, 77, 82, 85, 91, 97, 111, 120, 126, 173, 185, 191, 233, 259, 260, 271, 310, 321, 335, 341, 360, 369, 372, 380, 382, 392, 450, 455, 460, 529, 535, 536, 543, 652, 716, 753, 859, 945, 988, 1063, 1129, 1191, 1259, 1284, 1288, 1292, 1309, 1310, 1340, 1343, 1384, 1397, 1404, 1408, 1411, 1412, 1423, 1426, 1430, 1434, 1435, 1437, 1510, 1528, 1531, 1569, 1618, 1692, 1750, 1759, 1874, 2170, 3822, 4062, 4387, 5690, 6190, 6355, 6943, 7231, 8665, 8998, 9239, 9333, 9395, 10001, 10908, 11470, 11817, 13062, 14296, 17172, 18440, 25191, 29163, 30986, 31013, 31023, 31030, 31034, 31065, 31069, 31070, 31077, 31077, 31090, 31125, 31128, 31133, 31134, 31164, 31171, 31179, 31198, 31204, 31288, 31288, 31367, 31383, 31550, 31670, 31690, 31929, 37856, 39320, 39961, 40712, 41619, 42122, 42292, 43454, 43514, 46140, 47363, 49873, 50624, 56295, 58726, 61543, 62928, 62979, 70417, 76018, 81137, 82975, 83077, 83293, 83562, 84264, 91296, 91378, 101178, 102739, 106177, 116203, 117958, 119845, 126796, 127423, 137618, 141946, 147118, 159142, 162959, 167298, 171707, 176276, 176399, 183055, 204201, 204211, 204229, 204230, 204235, 204242, 204247, 204269, 204272, 204272, 204288, 204302, 204390, 204390, 204402, 204914, 205028, 207471, 223709, 223714, 223825 ]
3
[ 0, 2, 2, 6, 1, 2, 9, 2, 1, 3, 3, 20, 9, 11, 4, 1, 1, 5, 3, 6, 6, 14, 9, 6, 47, 12, 6, 42, 26, 1, 11, 39, 11, 14, 6, 19, 9, 3, 8, 2, 10, 58, 5, 5, 69, 6, 1, 7, 109, 64, 37, 106, 86, 43, 75, 66, 62, 68, 25, 4, 4, 17, 1, 30, 3, 41, 13, 7, 4, 3, 1, 11, 3, 4, 4, 1, 2, 73, 18, 3, 38, 49, 74, 58, 9, 115, 296, 1652, 240, 325, 1303, 500, 165, 588, 288, 1434, 333, 241, 94, 62, 606, 907, 562, 347, 1245, 1234, 2876, 1268, 6751, 3972, 1823, 27, 10, 7, 4, 31, 4, 1, 7, 0, 13, 35, 3, 5, 1, 30, 7, 8, 19, 6, 84, 0, 79, 16, 167, 120, 20, 239, 5927, 1464, 641, 751, 907, 503, 170, 1162, 60, 2626, 1223, 2510, 751, 5671, 2431, 2817, 1385, 51, 7438, 5601, 5119, 1838, 102, 216, 269, 702, 7032, 82, 9800, 1561, 3438, 10026, 1755, 1887, 6951, 627, 10195, 4328, 5172, 12024, 3817, 4339, 4409, 4569, 123, 6656, 21146, 10, 18, 1, 5, 7, 5, 22, 3, 0, 16, 14, 88, 0, 12, 512, 114, 2443, 16238, 5, 111 ]
205
4,936
[ 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0 ]
[ 0, 1, 3, 8, 11, 11, 14, 14, 15, 18, 20, 24, 27, 28, 37, 39, 40, 40, 41, 81, 85, 85, 86, 177, 190, 217, 223, 299, 300, 321, 358, 367, 449, 498, 590, 683, 684, 705, 712, 829, 832, 874, 889, 1127, 1302, 1324, 1430, 1460, 1504, 1522, 1530, 1659, 1903, 2053, 2086, 2142, 2558, 2741, 3404, 3413, 3445, 4330, 4459, 4668, 4762, 6015, 7422, 9431, 10502, 12283, 12629, 13898, 13991, 14094, 16698, 17357, 18820, 20028, 22385, 23150, 23354, 23419, 23476, 23797, 24395, 24410, 25991, 26010, 32198, 33146, 48764, 75325, 84889, 87985, 95055, 98378, 101840, 101917, 102731, 122997, 181417, 183416, 200449, 252235, 278274, 284059, 358091, 376095, 390867, 529370, 530659, 560516 ]
3
[ 0, 1, 2, 5, 3, 0, 3, 0, 1, 3, 2, 4, 3, 1, 9, 2, 1, 0, 1, 40, 4, 0, 1, 91, 13, 27, 6, 76, 1, 21, 37, 9, 82, 49, 92, 93, 1, 21, 7, 117, 3, 42, 15, 238, 175, 22, 106, 30, 44, 18, 8, 129, 244, 150, 33, 56, 416, 183, 663, 9, 32, 885, 129, 209, 94, 1253, 1407, 2009, 1071, 1781, 346, 1269, 93, 103, 2604, 659, 1463, 1208, 2357, 765, 204, 65, 57, 321, 598, 15, 1581, 19, 6188, 948, 15618, 26561, 9564, 3096, 7070, 3323, 3462, 77, 814, 20266, 58420, 1999, 17033, 51786, 26039, 5785, 74032, 18004, 14772, 138503, 1289, 29857 ]
112
4,937
[ 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1 ]
[ 0, 0, 0, 3, 4, 27, 29, 61, 76, 78, 83, 86, 88, 94, 102, 122, 122, 125, 137, 143, 160, 178, 194, 219, 229, 237, 272, 288, 311, 323, 358, 399, 447, 456, 457, 460, 464, 474, 538, 548, 574, 586, 601, 603, 615, 646, 653, 655, 674, 698, 729, 773, 806, 807, 812, 873, 894, 929, 952, 962, 963, 971, 972, 1021, 1058, 1076, 1131, 1140, 1195, 1237, 1289, 1313, 1330, 1342, 1342, 1343, 1360, 1366, 1405, 1482, 1503, 1515, 1535, 1554, 1565, 1622, 1638, 1724, 1783, 1842, 1876, 1936, 2019, 2059, 2137, 2142, 2193, 2413, 2414, 2446, 2548, 2561, 2632, 2640, 2678, 2727, 2824, 2866, 2914, 3007, 3033, 3081, 3266, 3280, 3303, 3570, 3619, 3913, 3984, 3993, 4063, 4187, 4496, 4531, 4563, 4564, 4827, 4899, 4987, 5191, 5203, 5258, 5431, 5445, 6069, 6256, 6261, 6324, 6387, 6739, 6936, 7045, 7389, 7689, 7842, 8209, 8451, 8461, 8852, 8882, 8974, 9314, 9321, 9371, 9391, 9788, 10254, 11121, 11204, 11692, 13120, 13207, 14986, 14993, 15138, 16002, 16105, 16147, 18006, 18347, 19217, 22512, 25863, 26253, 27059, 28174, 28591, 29945, 30168, 31940, 32577, 33192, 33512, 33583, 34028, 34875, 37180, 37922, 38273, 38540, 41125, 42944, 43032, 44389, 44809, 46529, 46583, 48917, 49484, 49876, 52503, 54392, 57160, 61193, 81992, 91098, 100536, 102325, 102387, 102397, 103748, 106027, 128084, 132369, 137999, 184915, 187665, 190160, 190431, 190640, 191402, 217029, 219144, 225089, 236955, 241154, 250451, 277057, 357330, 368855, 377793, 384364, 384411, 384503, 449129, 449785, 450041, 450152, 472922, 472955, 473036, 477010, 478883, 560578, 561108 ]
3
[ 0, 0, 0, 3, 1, 23, 2, 32, 15, 2, 5, 3, 2, 6, 8, 20, 0, 3, 12, 6, 17, 18, 16, 25, 10, 8, 35, 16, 23, 12, 35, 41, 48, 9, 1, 3, 4, 10, 64, 10, 26, 12, 15, 2, 12, 31, 7, 2, 19, 24, 31, 44, 33, 1, 5, 61, 21, 35, 23, 10, 1, 8, 1, 49, 37, 18, 55, 9, 55, 42, 52, 24, 17, 12, 0, 1, 17, 6, 39, 77, 21, 12, 20, 19, 11, 57, 16, 86, 59, 59, 34, 60, 83, 40, 78, 5, 51, 220, 1, 32, 102, 13, 71, 8, 38, 49, 97, 42, 48, 93, 26, 48, 185, 14, 23, 267, 49, 294, 71, 9, 70, 124, 309, 35, 32, 1, 263, 72, 88, 204, 12, 55, 173, 14, 624, 187, 5, 63, 63, 352, 197, 109, 344, 300, 153, 367, 242, 10, 391, 30, 92, 340, 7, 50, 20, 397, 466, 867, 83, 488, 1428, 87, 1779, 7, 145, 864, 103, 42, 1859, 341, 870, 3295, 3351, 390, 806, 1115, 417, 1354, 223, 1772, 637, 615, 320, 71, 445, 847, 2305, 742, 351, 267, 2585, 1819, 88, 1357, 420, 1720, 54, 2334, 567, 392, 2627, 1889, 2768, 4033, 20799, 9106, 9438, 1789, 62, 10, 1351, 2279, 22057, 4285, 5630, 46916, 2750, 2495, 271, 209, 762, 25627, 2115, 5945, 11866, 4199, 9297, 26606, 80273, 11525, 8938, 6571, 47, 92, 64626, 656, 256, 111, 22770, 33, 81, 3974, 1873, 81695, 530 ]
245
4,938
[ 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0 ]
[ 0, 5, 6, 17, 19, 25, 31, 50, 102, 120, 187, 504, 743, 972, 1081, 1097, 1168, 1442, 1523, 1934, 1988, 2097, 2688, 3428, 3514, 3651, 4255, 4307, 5208, 5363, 5778, 6434, 6562, 6573, 6587, 6603, 7541, 11305, 11337, 15351, 15606, 16863, 21969, 21995, 24389, 25013, 26433, 30089, 31868, 32955, 39412, 40078, 42433, 45303, 49881, 50636, 50845, 51170, 51575, 53223, 55122, 55566, 55582, 56943, 56971, 57879, 58808, 58869, 59695, 62359, 64473, 65899, 66522, 66714, 66856, 67361, 68175, 68895, 69419, 70007, 70641, 73176, 73238, 76146, 76499, 76898, 76976, 78871, 79031, 79184, 79255, 81106, 82143, 82919, 83537, 84964, 85300, 86204, 88844, 89120, 91785, 91803, 91858, 93220, 93843, 96524, 97624, 111668, 121503, 133640, 137435, 151181, 157499, 159690, 168384, 181951, 181984, 217650, 230543, 242230, 242829, 252031, 261794, 328473, 331914, 455579, 474812, 497874, 508053 ]
3
[ 0, 5, 1, 11, 2, 6, 6, 19, 52, 18, 67, 317, 239, 229, 109, 16, 71, 274, 81, 411, 54, 109, 591, 740, 86, 137, 604, 52, 901, 155, 415, 656, 128, 11, 14, 16, 938, 3764, 32, 4014, 255, 1257, 5106, 26, 2394, 624, 1420, 3656, 1779, 1087, 6457, 666, 2355, 2870, 4578, 755, 209, 325, 405, 1648, 1899, 444, 16, 1361, 28, 908, 929, 61, 826, 2664, 2114, 1426, 623, 192, 142, 505, 814, 720, 524, 588, 634, 2535, 62, 2908, 353, 399, 78, 1895, 160, 153, 71, 1851, 1037, 776, 618, 1427, 336, 904, 2640, 276, 2665, 18, 55, 1362, 623, 2681, 1100, 14044, 9835, 12137, 3795, 13746, 6318, 2191, 8694, 13567, 33, 35666, 12893, 11687, 599, 9202, 9763, 66679, 3441, 123665, 19233, 23062, 10179 ]
129
4,939
[ 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0 ]
[ 0, 3, 9, 22, 32, 35, 49, 54, 64, 92, 122, 136, 144, 213, 214, 214, 224, 229, 261, 276, 281, 321, 369, 431, 475, 492, 501, 590, 729, 729, 905, 966, 1150, 1220, 1245, 1333, 1676, 1706, 1747, 2329, 2516, 2801, 2933, 3259, 3462, 3479, 3701, 3718, 4722, 4942, 5074, 5413, 5707, 6167, 6307, 7108, 7230, 7506, 7611, 7773, 8595, 9399, 10490, 10778, 11129, 11336, 11882, 12294, 12321, 13144, 13544, 13693, 14499, 15088, 15165, 15631, 15885, 16545, 16603, 17473, 19319, 20143, 24308, 24945, 27231, 40894, 54560, 54658 ]
3
[ 0, 3, 6, 13, 10, 3, 14, 5, 10, 28, 30, 14, 8, 69, 1, 0, 10, 5, 32, 15, 5, 40, 48, 62, 44, 17, 9, 89, 139, 0, 176, 61, 184, 70, 25, 88, 343, 30, 41, 582, 187, 285, 132, 326, 203, 17, 222, 17, 1004, 220, 132, 339, 294, 460, 140, 801, 122, 276, 105, 162, 822, 804, 1091, 288, 351, 207, 546, 412, 27, 823, 400, 149, 806, 589, 77, 466, 254, 660, 58, 870, 1846, 824, 4165, 637, 2286, 13663, 13666, 98 ]
88
4,940
[ 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 0, 1, 3, 11, 16, 16, 21, 25, 31, 42, 47, 47, 49, 50, 53, 65, 66, 70, 70, 74, 74, 77, 83, 88, 95, 95, 98, 99, 100, 101, 110, 112, 116, 126, 137, 141, 149, 150, 154, 156, 156, 160, 163, 163, 165, 167, 171, 172, 173, 174, 181, 225, 227, 238, 240, 246, 269, 270, 291, 308, 315, 320, 329, 336, 341, 358, 376, 378, 381, 387, 393, 416, 436, 442, 462, 491, 508, 549, 561, 565, 585, 586, 598, 617, 627, 687, 704, 710, 735, 735, 776, 850, 854, 874, 877, 879, 887, 923, 937, 940, 941, 985, 1027, 1128, 1139, 1172, 1224, 1242, 1297, 1331, 1413, 1426, 1468, 1523, 1574, 1597, 1607, 1707, 1798, 1824, 1860, 1863, 1877, 1902, 1988, 2006, 2024, 2059, 2232, 2262, 2297, 2311, 2360, 2399, 2409, 2433, 2464, 2541, 2651, 2651, 2906, 2969, 3008, 3053, 3099, 3137, 3140, 3218, 3314, 3385, 3426, 3449, 3522, 3656, 3906, 4371, 4386, 4404, 4435, 4616, 4644, 4769, 4875, 4892, 4898, 5109, 5419, 5443, 5504, 5628, 5641, 5791, 6007, 6374, 6541, 6553, 6699, 6881, 6941, 7697, 7789, 7861, 8009, 8032, 8045, 8114, 8175, 8720, 9076, 11909, 12427, 13002, 13202, 17256, 19033, 19475, 20195, 20539, 20991, 21564, 21583, 22047, 22129, 22158, 22454, 23519, 23722, 23729, 23825, 23997, 24378, 24760, 25206, 25242, 25270, 25387, 25979, 26259, 26615, 27728, 29001, 29720, 30330, 30512, 30699, 30943, 31701, 32418, 32689, 33265, 33339, 33631, 34057, 34932, 36213, 36351, 37166, 37435, 39022, 39280, 39555, 41137, 41663, 43358, 43577, 44835, 44847, 48308, 48924, 52045, 52891, 54868, 58244, 70246, 70509, 83908, 84898, 144910, 145200 ]
3
[ 0, 1, 2, 8, 5, 0, 5, 4, 6, 11, 5, 0, 2, 1, 3, 12, 1, 4, 0, 4, 0, 3, 6, 5, 7, 0, 3, 1, 1, 1, 9, 2, 4, 10, 11, 4, 8, 1, 4, 2, 0, 4, 3, 0, 2, 2, 4, 1, 1, 1, 7, 44, 2, 11, 2, 6, 23, 1, 21, 17, 7, 5, 9, 7, 5, 17, 18, 2, 3, 6, 6, 23, 20, 6, 20, 29, 17, 41, 12, 4, 20, 1, 12, 19, 10, 60, 17, 6, 25, 0, 41, 74, 4, 20, 3, 2, 8, 36, 14, 3, 1, 44, 42, 101, 11, 33, 52, 18, 55, 34, 82, 13, 42, 55, 51, 23, 10, 100, 91, 26, 36, 3, 14, 25, 86, 18, 18, 35, 173, 30, 35, 14, 49, 39, 10, 24, 31, 77, 110, 0, 255, 63, 39, 45, 46, 38, 3, 78, 96, 71, 41, 23, 73, 134, 250, 465, 15, 18, 31, 181, 28, 125, 106, 17, 6, 211, 310, 24, 61, 124, 13, 150, 216, 367, 167, 12, 146, 182, 60, 756, 92, 72, 148, 23, 13, 69, 61, 545, 356, 2833, 518, 575, 200, 4054, 1777, 442, 720, 344, 452, 573, 19, 464, 82, 29, 296, 1065, 203, 7, 96, 172, 381, 382, 446, 36, 28, 117, 592, 280, 356, 1113, 1273, 719, 610, 182, 187, 244, 758, 717, 271, 576, 74, 292, 426, 875, 1281, 138, 815, 269, 1587, 258, 275, 1582, 526, 1695, 219, 1258, 12, 3461, 616, 3121, 846, 1977, 3376, 12002, 263, 13399, 990, 60012, 290 ]
259
4,941
[ 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1 ]
[ 0, 69, 93, 101, 114, 132, 134, 137, 175, 180, 199, 200, 276, 337, 339, 366, 405, 578, 634, 647, 797, 954, 971, 981, 1054, 1130, 1187, 1199, 1270, 1481, 1530, 1730, 1921, 2272, 2280, 2307, 2311, 2555, 3034, 3047, 3087, 3270, 3285, 3424, 3835, 4237, 4395, 5286, 5797, 6322, 7253, 7332, 12134, 12999, 13045, 13092, 21744, 26364, 28193, 28965, 29482, 33892, 42934, 56304, 59574, 65329, 83173, 88275 ]
3
[ 0, 69, 24, 8, 13, 18, 2, 3, 38, 5, 19, 1, 76, 61, 2, 27, 39, 173, 56, 13, 150, 157, 17, 10, 73, 76, 57, 12, 71, 211, 49, 200, 191, 351, 8, 27, 4, 244, 479, 13, 40, 183, 15, 139, 411, 402, 158, 891, 511, 525, 931, 79, 4802, 865, 46, 47, 8652, 4620, 1829, 772, 517, 4410, 9042, 13370, 3270, 5755, 17844, 5102 ]
68
4,942
[ 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 9, 13, 32, 54, 55, 62, 64, 65, 110, 119, 121, 124, 166, 205, 226, 327, 371, 388, 392, 500, 546, 770, 805, 1341, 1418, 1640, 1942, 2118, 2237, 2556, 2997, 3368, 3450, 3521, 3607, 6309, 6496, 6670, 7933, 8868, 9313, 10291, 10318, 10641, 10755, 16384, 18362, 18425, 18653, 20020, 22023, 22356, 22529, 24921, 25912, 25950, 26160, 29356, 29824, 29912, 30515, 33034, 34180, 35860, 66512, 66860, 67041, 67041, 107139, 109529, 113697, 130503, 193709, 264334, 335261, 464456, 504367, 542798 ]
3
[ 0, 9, 4, 19, 22, 1, 7, 2, 1, 45, 9, 2, 3, 42, 39, 21, 101, 44, 17, 4, 108, 46, 224, 35, 536, 77, 222, 302, 176, 119, 319, 441, 371, 82, 71, 86, 2702, 187, 174, 1263, 935, 445, 978, 27, 323, 114, 5629, 1978, 63, 228, 1367, 2003, 333, 173, 2392, 991, 38, 210, 3196, 468, 88, 603, 2519, 1146, 1680, 30652, 348, 181, 0, 40098, 2390, 4168, 16806, 63206, 70625, 70927, 129195, 39911, 38431 ]
79
4,943
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1 ]
[ 0, 1, 24, 27, 31, 31, 36, 43, 45, 48, 61, 67, 71, 74, 75, 88, 89, 93, 94, 96, 100, 135, 137, 207, 233, 254, 302, 310, 320, 351, 353, 360, 364, 392, 399, 445, 456, 502, 506, 510, 515, 520, 610, 626, 668, 688, 688, 830, 844, 856, 892, 941, 1217, 1442, 1601, 1724, 1757, 1967, 2020, 2055, 2364, 2669, 2688, 2762, 2846, 3129, 3565, 3855, 3960, 4035, 4569, 4572, 4948, 4948, 5233, 5255, 5750, 6076, 6545, 7120, 7426, 8386, 10053, 11157, 13394, 19521, 19693, 21923, 22142, 22780, 25164, 30240, 33384, 45859, 56364, 66273, 203960, 213162, 213643, 214252, 217934, 219179, 235005, 249960, 293392, 372995, 569248 ]
3
[ 0, 1, 23, 3, 4, 0, 5, 7, 2, 3, 13, 6, 4, 3, 1, 13, 1, 4, 1, 2, 4, 35, 2, 70, 26, 21, 48, 8, 10, 31, 2, 7, 4, 28, 7, 46, 11, 46, 4, 4, 5, 5, 90, 16, 42, 20, 0, 142, 14, 12, 36, 49, 276, 225, 159, 123, 33, 210, 53, 35, 309, 305, 19, 74, 84, 283, 436, 290, 105, 75, 534, 3, 376, 0, 285, 22, 495, 326, 469, 575, 306, 960, 1667, 1104, 2237, 6127, 172, 2230, 219, 638, 2384, 5076, 3144, 12475, 10505, 9909, 137687, 9202, 481, 609, 3682, 1245, 15826, 14955, 43432, 79603, 196253 ]
107
4,944
[ 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0 ]
[ 0, 1, 2, 4, 6, 11, 11, 12, 12, 15, 17, 18, 18, 19, 23, 23, 24, 28, 28, 28, 29, 29, 29, 30, 31, 32, 33, 33, 36, 38, 39, 39, 40, 42, 45, 46, 47, 49, 49, 50, 51, 54, 54, 54, 56, 57, 59, 59, 62, 63, 65, 71, 73, 74, 78, 78, 80, 81, 81, 82, 84, 84, 86, 96, 98, 98, 100, 101, 101, 101, 105, 105, 105, 106, 107, 109, 111, 114, 117, 118, 122, 123, 124, 127, 127, 127, 128, 130, 130, 132, 133, 134, 137, 145, 150, 153, 156, 159, 160, 162, 169, 175, 179, 183, 185, 186, 203, 204, 207, 210, 215, 216, 220, 221, 223, 225, 225, 233, 236, 238, 247, 255, 261, 274, 277, 280, 280, 284, 285, 295, 306, 314, 331, 333, 336, 337, 349, 373, 385, 395, 407, 420, 439, 470, 474, 489, 491, 538, 545, 564, 593, 647, 666, 680, 698, 714, 735, 772, 796, 797, 857, 860, 898, 951, 1010, 1038, 1063, 1107, 1125, 1151, 1186, 1198, 1313, 1357, 1450, 1500, 1500, 1551, 1583, 1612, 1678, 1765, 1895, 1913, 1932, 2060, 2096, 2115, 2241, 2272, 2371, 2405, 2520, 2756, 2922, 3000, 3177, 3415, 3626, 3794, 3909, 5815, 6488, 6513, 6888, 7205, 7685, 9610, 10145, 11492, 11746, 23097, 51779, 65344, 65854, 68484, 78199, 84901, 85934, 87053, 89927, 90491, 94342, 95089, 96182, 96409, 96595, 96920, 105992, 113641, 138099, 149032, 160107, 167872, 189372, 258931, 279240, 326838, 436183 ]
3
[ 0, 1, 1, 2, 2, 5, 0, 1, 0, 3, 2, 1, 0, 1, 4, 0, 1, 4, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 3, 2, 1, 0, 1, 2, 3, 1, 1, 2, 0, 1, 1, 3, 0, 0, 2, 1, 2, 0, 3, 1, 2, 6, 2, 1, 4, 0, 2, 1, 0, 1, 2, 0, 2, 10, 2, 0, 2, 1, 0, 0, 4, 0, 0, 1, 1, 2, 2, 3, 3, 1, 4, 1, 1, 3, 0, 0, 1, 2, 0, 2, 1, 1, 3, 8, 5, 3, 3, 3, 1, 2, 7, 6, 4, 4, 2, 1, 17, 1, 3, 3, 5, 1, 4, 1, 2, 2, 0, 8, 3, 2, 9, 8, 6, 13, 3, 3, 0, 4, 1, 10, 11, 8, 17, 2, 3, 1, 12, 24, 12, 10, 12, 13, 19, 31, 4, 15, 2, 47, 7, 19, 29, 54, 19, 14, 18, 16, 21, 37, 24, 1, 60, 3, 38, 53, 59, 28, 25, 44, 18, 26, 35, 12, 115, 44, 93, 50, 0, 51, 32, 29, 66, 87, 130, 18, 19, 128, 36, 19, 126, 31, 99, 34, 115, 236, 166, 78, 177, 238, 211, 168, 115, 1906, 673, 25, 375, 317, 480, 1925, 535, 1347, 254, 11351, 28682, 13565, 510, 2630, 9715, 6702, 1033, 1119, 2874, 564, 3851, 747, 1093, 227, 186, 325, 9072, 7649, 24458, 10933, 11075, 7765, 21500, 69559, 20309, 47598, 109345 ]
239
4,945
[ 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0 ]
[ 0, 3652, 6547, 6621, 6624, 6628, 6646, 6669, 6717, 6762, 6778, 6865, 6902, 6931, 7019, 7120, 7130, 7190, 7271, 7338, 7364, 7456, 7491, 7543, 7597, 7740, 7747, 7939, 7997, 8041, 8275, 8292, 8328, 8392, 8440, 8454, 8823, 8842, 9106, 9177, 9631, 9953, 11002, 11350, 11364, 11425, 11519, 11540, 11639, 11983, 12092, 12383, 12402, 13060, 13595, 13977, 15199, 16082, 16103, 16301, 16686, 17203, 19199, 20122, 20490, 20669, 25600, 25843, 27894, 29695 ]
3
[ 0, 3652, 2895, 74, 3, 4, 18, 23, 48, 45, 16, 87, 37, 29, 88, 101, 10, 60, 81, 67, 26, 92, 35, 52, 54, 143, 7, 192, 58, 44, 234, 17, 36, 64, 48, 14, 369, 19, 264, 71, 454, 322, 1049, 348, 14, 61, 94, 21, 99, 344, 109, 291, 19, 658, 535, 382, 1222, 883, 21, 198, 385, 517, 1996, 923, 368, 179, 4931, 243, 2051, 1801 ]
70
4,946
[ 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
[ 0, 1, 2, 3, 7, 8, 10, 12, 13, 14, 15, 16, 16, 20, 21, 21, 24, 24, 24, 24, 25, 31, 31, 34, 35, 37, 39, 39, 39, 41, 44, 45, 45, 48, 48, 49, 49, 49, 49, 53, 54, 56, 57, 62, 63, 66, 70, 76, 79, 79, 81, 83, 84, 84, 89, 91, 94, 99, 108, 109, 109, 117, 117, 120, 129, 131, 134, 136, 138, 141, 150, 153, 154, 162, 175, 182, 183, 184, 186, 194, 202, 206, 211, 215, 215, 218, 221, 222, 222, 224, 234, 252, 270, 275, 275, 281, 282, 282, 283, 287, 312, 319, 325, 345, 353, 360, 363, 368, 376, 378, 381, 400, 444, 451, 474, 475, 510, 569, 570, 581, 618, 641, 665, 692, 707, 714, 776, 791, 803, 811, 839, 841, 860, 899, 918, 921, 981, 988, 1093, 1147, 1192, 1330, 1468, 1469, 1579, 1744, 1769, 1889, 1916, 2096, 2104, 2178, 2356, 2529, 2539, 2631, 2659, 2910, 2929, 2996, 3013, 3208, 3381, 3688, 3923, 4302, 4381, 4521, 4525, 4887, 4941, 5518, 5545, 6323, 6764, 6865, 6956, 7401, 7577, 7894, 7945, 10461, 10831, 11346, 13180, 13541, 17304, 24848, 35977, 39650, 40485, 42265, 45152, 46861, 47172, 47332, 47506, 47612, 47623, 47707, 48290, 48617, 51552, 56945, 78125, 78339, 81604, 83341, 86072, 86815, 89523, 90815, 91255, 93434, 95369, 106384, 132988, 135399, 150771, 162617, 166280, 166319, 166364, 166417, 166477, 166479, 166488, 166779, 167049, 167362, 167607, 168086, 168451, 173579, 174121, 229352, 240478, 240768, 255593, 255804, 344428, 344503, 344981, 398263, 415125, 428600, 480879, 515120, 596987 ]
3
[ 0, 1, 1, 1, 4, 1, 2, 2, 1, 1, 1, 1, 0, 4, 1, 0, 3, 0, 0, 0, 1, 6, 0, 3, 1, 2, 2, 0, 0, 2, 3, 1, 0, 3, 0, 1, 0, 0, 0, 4, 1, 2, 1, 5, 1, 3, 4, 6, 3, 0, 2, 2, 1, 0, 5, 2, 3, 5, 9, 1, 0, 8, 0, 3, 9, 2, 3, 2, 2, 3, 9, 3, 1, 8, 13, 7, 1, 1, 2, 8, 8, 4, 5, 4, 0, 3, 3, 1, 0, 2, 10, 18, 18, 5, 0, 6, 1, 0, 1, 4, 25, 7, 6, 20, 8, 7, 3, 5, 8, 2, 3, 19, 44, 7, 23, 1, 35, 59, 1, 11, 37, 23, 24, 27, 15, 7, 62, 15, 12, 8, 28, 2, 19, 39, 19, 3, 60, 7, 105, 54, 45, 138, 138, 1, 110, 165, 25, 120, 27, 180, 8, 74, 178, 173, 10, 92, 28, 251, 19, 67, 17, 195, 173, 307, 235, 379, 79, 140, 4, 362, 54, 577, 27, 778, 441, 101, 91, 445, 176, 317, 51, 2516, 370, 515, 1834, 361, 3763, 7544, 11129, 3673, 835, 1780, 2887, 1709, 311, 160, 174, 106, 11, 84, 583, 327, 2935, 5393, 21180, 214, 3265, 1737, 2731, 743, 2708, 1292, 440, 2179, 1935, 11015, 26604, 2411, 15372, 11846, 3663, 39, 45, 53, 60, 2, 9, 291, 270, 313, 245, 479, 365, 5128, 542, 55231, 11126, 290, 14825, 211, 88624, 75, 478, 53282, 16862, 13475, 52279, 34241, 81867 ]
249
4,947
[ 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1 ]
[ 0, 3, 5, 9, 20, 20, 25, 31, 31, 35, 44, 50, 51, 57, 64, 68, 68, 69, 72, 75, 76, 78, 81, 81, 83, 85, 87, 97, 100, 105, 111, 114, 114, 118, 126, 132, 149, 169, 173, 179, 188, 199, 203, 204, 204, 215, 222, 224, 257, 267, 289, 299, 331, 363, 394, 424, 436, 447, 479, 504, 519, 532, 533, 559, 604, 604, 629, 651, 669, 679, 703, 713, 743, 776, 811, 833, 862, 963, 964, 1024, 1098, 1137, 1205, 1230, 1238, 1307, 1335, 1343, 1371, 1429, 1488, 1494, 1573, 1626, 1710, 1758, 1852, 1855, 1871, 1914, 2033, 2042, 2050, 2059, 2132, 2136, 2219, 2311, 2474, 2490, 2543, 2580, 2596, 2702, 2717, 2863, 2892, 2955, 2958, 3028, 3145, 3265, 3319, 3360, 3402, 3472, 3498, 3556, 3682, 3702, 3741, 3742, 3882, 3910, 3982, 4123, 4224, 4270, 4360, 4508, 4523, 4776, 5077, 5169, 5247, 5304, 5440, 5663, 5780, 5954, 5987, 6225, 6261, 6316, 6493, 7580, 7879, 8189, 8584, 8691, 8771, 8820, 9053, 9210, 9409, 9413, 9763, 9769, 10315, 11046, 11356, 11682, 11782, 12584, 12727, 12909, 13042, 13928, 14296, 14794, 14933, 16310, 16425, 16569, 18164, 18409, 21274, 21414, 23523, 25676, 26423, 27303, 28958, 29716, 30069, 30636, 32400, 33855, 35811, 36181, 36956, 37872, 38048, 38061, 44713, 48205, 50264, 52096, 54164, 57374, 57940, 59365, 61062, 61857, 61961, 64920, 66130, 81979, 101786, 113109, 155115, 233229, 233810, 250065, 256321 ]
3
[ 0, 3, 2, 4, 11, 0, 5, 6, 0, 4, 9, 6, 1, 6, 7, 4, 0, 1, 3, 3, 1, 2, 3, 0, 2, 2, 2, 10, 3, 5, 6, 3, 0, 4, 8, 6, 17, 20, 4, 6, 9, 11, 4, 1, 0, 11, 7, 2, 33, 10, 22, 10, 32, 32, 31, 30, 12, 11, 32, 25, 15, 13, 1, 26, 45, 0, 25, 22, 18, 10, 24, 10, 30, 33, 35, 22, 29, 101, 1, 60, 74, 39, 68, 25, 8, 69, 28, 8, 28, 58, 59, 6, 79, 53, 84, 48, 94, 3, 16, 43, 119, 9, 8, 9, 73, 4, 83, 92, 163, 16, 53, 37, 16, 106, 15, 146, 29, 63, 3, 70, 117, 120, 54, 41, 42, 70, 26, 58, 126, 20, 39, 1, 140, 28, 72, 141, 101, 46, 90, 148, 15, 253, 301, 92, 78, 57, 136, 223, 117, 174, 33, 238, 36, 55, 177, 1087, 299, 310, 395, 107, 80, 49, 233, 157, 199, 4, 350, 6, 546, 731, 310, 326, 100, 802, 143, 182, 133, 886, 368, 498, 139, 1377, 115, 144, 1595, 245, 2865, 140, 2109, 2153, 747, 880, 1655, 758, 353, 567, 1764, 1455, 1956, 370, 775, 916, 176, 13, 6652, 3492, 2059, 1832, 2068, 3210, 566, 1425, 1697, 795, 104, 2959, 1210, 15849, 19807, 11323, 42006, 78114, 581, 16255, 6256 ]
225
4,948
[ 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 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, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 1070, 1079, 1958, 3233, 3757, 3932, 4241, 4303, 4450, 4619, 4636, 4743, 4937, 5054, 5478, 5829, 5863, 5875, 5895, 5988, 6000, 6008, 6081, 6149, 6195, 6262, 6512, 6513, 6615, 6698, 6773, 7069, 7213, 7609, 7614, 7770, 7786, 7820, 7842, 7891, 7948, 8033, 8092, 8414, 8500, 9133, 9140, 9297, 9307, 9309, 9636, 9892, 10198, 10236, 10295, 10442, 11095, 11573, 12455, 13325, 13826, 13975, 15191, 16112, 16323, 16397, 17549, 18029, 18041, 19306, 21219, 25355, 28188, 28533, 147076, 147380, 147727 ]
3
[ 0, 1070, 9, 879, 1275, 524, 175, 309, 62, 147, 169, 17, 107, 194, 117, 424, 351, 34, 12, 20, 93, 12, 8, 73, 68, 46, 67, 250, 1, 102, 83, 75, 296, 144, 396, 5, 156, 16, 34, 22, 49, 57, 85, 59, 322, 86, 633, 7, 157, 10, 2, 327, 256, 306, 38, 59, 147, 653, 478, 882, 870, 501, 149, 1216, 921, 211, 74, 1152, 480, 12, 1265, 1913, 4136, 2833, 345, 118543, 304, 347 ]
78
4,949
[ 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0 ]
[ 0, 20, 33, 36, 41, 55, 57, 59, 80, 84, 89, 103, 106, 118, 126, 138, 162, 173, 176, 188, 208, 214, 229, 238, 239, 281, 296, 308, 385, 388, 431, 435, 448, 553, 561, 587, 716, 734, 791, 827, 930, 976, 1279, 1391, 1493, 2099, 2174, 3730, 4621, 5923, 6392, 6869, 15558, 18156, 23712, 30510 ]
3
[ 0, 20, 13, 3, 5, 14, 2, 2, 21, 4, 5, 14, 3, 12, 8, 12, 24, 11, 3, 12, 20, 6, 15, 9, 1, 42, 15, 12, 77, 3, 43, 4, 13, 105, 8, 26, 129, 18, 57, 36, 103, 46, 303, 112, 102, 606, 75, 1556, 891, 1302, 469, 477, 8689, 2598, 5556, 6798 ]
56
4,950
[ 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ]
[ 0, 16, 20, 36, 43, 49, 51, 53, 54, 66, 154, 155, 180, 186, 235, 236, 251, 256, 296, 336, 341, 341, 405, 755, 1032, 1192, 1790, 1852, 2019, 2812, 3391, 3713, 3733, 3740, 3920, 4042, 4154, 4217, 4227, 4319, 4473, 4917, 4950, 5132, 5169, 6203, 8576, 8598, 10516, 12197, 13753, 14784, 15223, 16350, 18317, 23864, 25808, 36642, 36675, 36688, 36703, 36742, 36869, 36892, 36927, 37416, 38768, 41149, 49110, 49393, 55392, 55397, 55400, 55413, 55418, 55425, 55439, 55447, 55452, 55463, 55465, 55465, 55545, 55548, 55557, 55561, 55574, 55607, 55611, 55630, 55648, 55709, 55721, 55813, 55816, 55894, 55911, 55927, 55940, 55973, 56001, 56007, 56069, 56085, 56095, 56281, 57391, 57610, 57631, 57990, 61119, 62086, 70203, 74262, 100422, 118833, 138676, 168743, 168788, 169035, 399812 ]
3
[ 0, 16, 4, 16, 7, 6, 2, 2, 1, 12, 88, 1, 25, 6, 49, 1, 15, 5, 40, 40, 5, 0, 64, 350, 277, 160, 598, 62, 167, 793, 579, 322, 20, 7, 180, 122, 112, 63, 10, 92, 154, 444, 33, 182, 37, 1034, 2373, 22, 1918, 1681, 1556, 1031, 439, 1127, 1967, 5547, 1944, 10834, 33, 13, 15, 39, 127, 23, 35, 489, 1352, 2381, 7961, 283, 5999, 5, 3, 13, 5, 7, 14, 8, 5, 11, 2, 0, 80, 3, 9, 4, 13, 33, 4, 19, 18, 61, 12, 92, 3, 78, 17, 16, 13, 33, 28, 6, 62, 16, 10, 186, 1110, 219, 21, 359, 3129, 967, 8117, 4059, 26160, 18411, 19843, 30067, 45, 247, 230777 ]
121
4,951
[ 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1 ]
[ 0, 5, 5, 8, 11, 14, 17, 24, 28, 33, 33, 38, 40, 41, 47, 48, 49, 49, 51, 51, 51, 52, 55, 58, 62, 62, 65, 67, 69, 69, 70, 71, 71, 73, 73, 75, 79, 82, 83, 88, 88, 89, 91, 92, 93, 95, 95, 96, 98, 99, 100, 166, 177, 178, 195, 196, 197, 205, 208, 210, 211, 215, 216, 216, 234, 245, 251, 252, 259, 270, 271, 272, 283, 286, 293, 327, 339, 345, 361, 383, 409, 428, 428, 461, 467, 480, 482, 491, 496, 550, 631, 670, 695, 737, 819, 845, 1101, 1409, 1456, 1496, 2388, 2623, 3273, 3288, 3926, 4069, 4968, 6729, 7575, 7644, 8359, 8390, 9610, 9680, 10524, 10713, 12093, 16022, 28001, 36688, 39091, 39158, 39467, 41735, 43454, 45267, 47032, 75618, 76945, 79249, 173539, 229177 ]
3
[ 0, 5, 0, 3, 3, 3, 3, 7, 4, 5, 0, 5, 2, 1, 6, 1, 1, 0, 2, 0, 0, 1, 3, 3, 4, 0, 3, 2, 2, 0, 1, 1, 0, 2, 0, 2, 4, 3, 1, 5, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 66, 11, 1, 17, 1, 1, 8, 3, 2, 1, 4, 1, 0, 18, 11, 6, 1, 7, 11, 1, 1, 11, 3, 7, 34, 12, 6, 16, 22, 26, 19, 0, 33, 6, 13, 2, 9, 5, 54, 81, 39, 25, 42, 82, 26, 256, 308, 47, 40, 892, 235, 650, 15, 638, 143, 899, 1761, 846, 69, 715, 31, 1220, 70, 844, 189, 1380, 3929, 11979, 8687, 2403, 67, 309, 2268, 1719, 1813, 1765, 28586, 1327, 2304, 94290, 55638 ]
132
4,952
[ 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0 ]
[ 0, 8, 10, 12, 22, 26, 31, 35, 40, 42, 45, 51, 53, 56, 56, 58, 73, 78, 89, 98, 99, 100, 108, 123, 146, 155, 155, 155, 156, 182, 197, 215, 225, 228, 256, 273, 314, 343, 354, 362, 375, 406, 433, 447, 464, 478, 547, 555, 586, 603, 634, 697, 703, 723, 752, 785, 836, 862, 872, 980, 985, 1255, 1307, 1326, 1365, 1368, 1369, 1426, 1560, 1568, 1651, 1652, 1978, 2115, 2125, 2139, 2163, 2232, 2281, 2297, 2368, 2442, 2457, 2496, 2587, 2632, 2649, 2669, 3060, 3086, 3131, 3283, 3353, 3397, 3554, 3610, 3808, 3965, 4118, 4270, 4926, 5529, 5866, 6143, 6277, 6450, 7213, 7681, 7996, 8260, 8791, 8889, 9095, 10256, 11538, 11575, 11717, 11720, 12268, 12295, 12824, 13328, 14111, 15768, 18383, 19678, 19824, 21836, 23821, 23839, 23992, 24062, 24078, 24093, 24101, 25188, 26873, 29710, 35924, 55349, 68026, 69178, 76181, 85983, 91896, 96982, 114999, 164954, 170840, 203089, 213210 ]
3
[ 0, 8, 2, 2, 10, 4, 5, 4, 5, 2, 3, 6, 2, 3, 0, 2, 15, 5, 11, 9, 1, 1, 8, 15, 23, 9, 0, 0, 1, 26, 15, 18, 10, 3, 28, 17, 41, 29, 11, 8, 13, 31, 27, 14, 17, 14, 69, 8, 31, 17, 31, 63, 6, 20, 29, 33, 51, 26, 10, 108, 5, 270, 52, 19, 39, 3, 1, 57, 134, 8, 83, 1, 326, 137, 10, 14, 24, 69, 49, 16, 71, 74, 15, 39, 91, 45, 17, 20, 391, 26, 45, 152, 70, 44, 157, 56, 198, 157, 153, 152, 656, 603, 337, 277, 134, 173, 763, 468, 315, 264, 531, 98, 206, 1161, 1282, 37, 142, 3, 548, 27, 529, 504, 783, 1657, 2615, 1295, 146, 2012, 1985, 18, 153, 70, 16, 15, 8, 1087, 1685, 2837, 6214, 19425, 12677, 1152, 7003, 9802, 5913, 5086, 18017, 49955, 5886, 32249, 10121 ]
151
4,953
[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0 ]
[ 0, 294, 346, 613, 639, 656, 759, 911, 1032, 1046, 1136, 1189, 1214, 1228, 1239, 1242, 1250, 1611, 2995, 3556, 3577, 3606, 3650, 4122, 4131, 4132, 4652, 5644, 6691, 6718, 6854, 6891, 6967, 7084, 7122, 8037, 8294, 8578, 8841, 9690, 10091, 11510, 12913, 13730, 14681, 15061, 15390, 16578, 17044, 17872, 19242, 19449, 19743, 19933, 20723, 23459, 23664, 24812, 25084, 26107, 28423, 30435, 30688, 30891, 31696, 32277, 32322, 32628, 34169, 38404, 39877, 40466, 41972, 43134, 43304, 44230, 44779, 45223, 46298, 47293, 49475, 50287, 50287, 50507, 51545, 52313, 53964, 54109, 54469, 55250, 55568, 55644, 55982, 56071, 57702, 57799, 58003, 58142, 58569, 58614, 59721, 63467, 63555, 63927, 64428, 64534, 66152, 66542, 67091, 67464, 67936, 68686, 69540, 71011, 71082, 71520, 72707, 74416, 77833, 77844, 82414, 85322, 85378, 96996, 97077, 98461, 107880, 107907, 112035, 114072, 116641, 122320, 123455, 132890, 139107, 140073, 141133, 147462, 149982, 150084, 154546, 160857, 162362, 172696, 177909, 185492, 186603, 189795, 194365, 196925, 234063, 238450, 250497, 250863, 251873, 255692, 259345, 260514, 272165, 274923, 274990, 283896, 291557, 325431, 332378, 332751, 351537, 358257, 358373, 398059, 403254, 408117, 412818, 435985, 445111, 471645, 473628, 474351, 495554, 499181, 502638, 513073, 515599, 600278 ]
3
[ 0, 294, 52, 267, 26, 17, 103, 152, 121, 14, 90, 53, 25, 14, 11, 3, 8, 361, 1384, 561, 21, 29, 44, 472, 9, 1, 520, 992, 1047, 27, 136, 37, 76, 117, 38, 915, 257, 284, 263, 849, 401, 1419, 1403, 817, 951, 380, 329, 1188, 466, 828, 1370, 207, 294, 190, 790, 2736, 205, 1148, 272, 1023, 2316, 2012, 253, 203, 805, 581, 45, 306, 1541, 4235, 1473, 589, 1506, 1162, 170, 926, 549, 444, 1075, 995, 2182, 812, 0, 220, 1038, 768, 1651, 145, 360, 781, 318, 76, 338, 89, 1631, 97, 204, 139, 427, 45, 1107, 3746, 88, 372, 501, 106, 1618, 390, 549, 373, 472, 750, 854, 1471, 71, 438, 1187, 1709, 3417, 11, 4570, 2908, 56, 11618, 81, 1384, 9419, 27, 4128, 2037, 2569, 5679, 1135, 9435, 6217, 966, 1060, 6329, 2520, 102, 4462, 6311, 1505, 10334, 5213, 7583, 1111, 3192, 4570, 2560, 37138, 4387, 12047, 366, 1010, 3819, 3653, 1169, 11651, 2758, 67, 8906, 7661, 33874, 6947, 373, 18786, 6720, 116, 39686, 5195, 4863, 4701, 23167, 9126, 26534, 1983, 723, 21203, 3627, 3457, 10435, 2526, 84679 ]
184
4,954
[ 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1 ]
[ 0, 3, 5, 5, 5, 9, 11, 11, 12, 16, 16, 22, 26, 26, 26, 27, 27, 35, 40, 41, 41, 42, 42, 47, 49, 49, 49, 50, 51, 52, 53, 54, 57, 61, 64, 70, 70, 74, 76, 77, 79, 83, 83, 85, 88, 89, 95, 96, 99, 100, 103, 107, 114, 117, 122, 124, 130, 131, 135, 143, 153, 214, 215, 228, 237, 241, 246, 248, 274, 297, 306, 307, 315, 341, 357, 361, 367, 423, 452, 485, 524, 527, 580, 704, 728, 747, 773, 786, 1031, 1244, 1616, 2083, 2137, 2559, 2727, 2829, 3134, 3770, 3817, 3938, 6713, 6808, 8812, 14128, 14148, 14938, 23203, 23441, 23820, 24273, 30573, 32002, 34412, 36923, 38057, 38209, 39529, 40462, 41657, 47863, 50207, 50921, 50953, 51418, 51711, 52002, 52036, 52632, 53630, 53739, 54328, 54671, 55331, 56221, 57518, 57613, 58304, 58539, 60744, 73038 ]
3
[ 0, 3, 2, 0, 0, 4, 2, 0, 1, 4, 0, 6, 4, 0, 0, 1, 0, 8, 5, 1, 0, 1, 0, 5, 2, 0, 0, 1, 1, 1, 1, 1, 3, 4, 3, 6, 0, 4, 2, 1, 2, 4, 0, 2, 3, 1, 6, 1, 3, 1, 3, 4, 7, 3, 5, 2, 6, 1, 4, 8, 10, 61, 1, 13, 9, 4, 5, 2, 26, 23, 9, 1, 8, 26, 16, 4, 6, 56, 29, 33, 39, 3, 53, 124, 24, 19, 26, 13, 245, 213, 372, 467, 54, 422, 168, 102, 305, 636, 47, 121, 2775, 95, 2004, 5316, 20, 790, 8265, 238, 379, 453, 6300, 1429, 2410, 2511, 1134, 152, 1320, 933, 1195, 6206, 2344, 714, 32, 465, 293, 291, 34, 596, 998, 109, 589, 343, 660, 890, 1297, 95, 691, 235, 2205, 12294 ]
140
4,955
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1 ]
[ 0, 2, 30, 35, 48, 69, 81, 86, 105, 108, 109, 137, 155, 165, 172, 178, 179, 203, 208, 218, 225, 226, 227, 258, 262, 274, 300, 309, 326, 406, 487, 500, 523, 552, 600, 619, 652, 660, 668, 678, 690, 763, 766, 877, 995, 1044, 1090, 1231, 1409, 1654, 1656, 1702, 2226, 2533, 3856, 4527, 5603, 5743, 7216, 7306, 7832, 14763 ]
3
[ 0, 2, 28, 5, 13, 21, 12, 5, 19, 3, 1, 28, 18, 10, 7, 6, 1, 24, 5, 10, 7, 1, 1, 31, 4, 12, 26, 9, 17, 80, 81, 13, 23, 29, 48, 19, 33, 8, 8, 10, 12, 73, 3, 111, 118, 49, 46, 141, 178, 245, 2, 46, 524, 307, 1323, 671, 1076, 140, 1473, 90, 526, 6931 ]
62
4,956
[ 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1 ]
[ 0, 2, 3, 7, 71, 72, 77, 78, 78, 83, 91, 94, 115, 121, 123, 125, 133, 136, 136, 164, 177, 186, 208, 214, 343, 344, 347, 391, 392, 431, 589, 611, 685, 704, 714, 714, 803, 875, 917, 923, 1019, 1073, 1213, 1236, 1249, 1267, 1415, 1573, 1607, 1665, 1772, 2139, 2695, 2889, 3299, 3366, 3414, 3565, 3712, 4654, 4806, 4988, 5789, 5789, 7359, 7830, 8522, 9882, 9900, 9901, 9980, 10083, 10093, 10138, 10162, 10180, 10187, 10199, 10435, 10949, 10971, 10979, 10992, 11008, 11020, 11021, 11029, 11035, 11036, 11043, 11063, 11137, 11168, 11171, 11186, 11203, 11207, 11215, 11306, 11460, 11506, 11527, 11697, 11714, 11922, 12721, 13029, 13907, 14522, 14560, 15138, 15150, 15193, 15227, 15228, 15351, 15459, 15499, 15532, 15663, 15737, 15788, 15978, 16996, 24569, 30596, 31410, 33575, 35463, 40619, 41158, 44564, 44633, 46102, 52187, 92581, 99237, 119118, 159738, 198746 ]
3
[ 0, 2, 1, 4, 64, 1, 5, 1, 0, 5, 8, 3, 21, 6, 2, 2, 8, 3, 0, 28, 13, 9, 22, 6, 129, 1, 3, 44, 1, 39, 158, 22, 74, 19, 10, 0, 89, 72, 42, 6, 96, 54, 140, 23, 13, 18, 148, 158, 34, 58, 107, 367, 556, 194, 410, 67, 48, 151, 147, 942, 152, 182, 801, 0, 1570, 471, 692, 1360, 18, 1, 79, 103, 10, 45, 24, 18, 7, 12, 236, 514, 22, 8, 13, 16, 12, 1, 8, 6, 1, 7, 20, 74, 31, 3, 15, 17, 4, 8, 91, 154, 46, 21, 170, 17, 208, 799, 308, 878, 615, 38, 578, 12, 43, 34, 1, 123, 108, 40, 33, 131, 74, 51, 190, 1018, 7573, 6027, 814, 2165, 1888, 5156, 539, 3406, 69, 1469, 6085, 40394, 6656, 19881, 40620, 39008 ]
140
4,957
[ 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1 ]
[ 0, 47, 106, 151, 248, 296, 296, 306, 311, 325, 361, 485, 678, 724, 735, 739, 754, 766, 779, 800, 835, 867, 869, 1000, 1127, 1144, 1179, 1194, 1217, 1223, 1281, 1360, 2135, 3011, 3105, 3148, 3184, 3230, 3377, 4769, 25200, 25256, 25443, 25457, 25676, 25971, 52342, 56548, 56610, 56742, 56851, 62841 ]
3
[ 0, 47, 59, 45, 97, 48, 0, 10, 5, 14, 36, 124, 193, 46, 11, 4, 15, 12, 13, 21, 35, 32, 2, 131, 127, 17, 35, 15, 23, 6, 58, 79, 775, 876, 94, 43, 36, 46, 147, 1392, 20431, 56, 187, 14, 219, 295, 26371, 4206, 62, 132, 109, 5990 ]
52
4,958
[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1 ]
[ 0, 27, 413, 529, 592, 707, 757, 770, 1193, 1835, 2343, 2419, 2450, 2544, 2901, 3339, 3470, 4167, 7686, 8349, 14509, 35928, 43022, 43049, 43058, 43136, 43218, 43484, 43729, 43810, 45504, 45699, 45958, 46466, 47008, 47149, 47149, 47238, 47817, 48043, 48431, 49546, 49657, 50842, 50876, 50956, 51172, 51940, 52033, 52095, 53683, 53901, 54891, 55518, 57142, 58729, 58732, 62258, 62823, 63289, 63516, 72965, 87883, 87962, 91208, 91417, 118509, 125795, 130436, 130866, 130930, 132727, 132941, 132975, 135556, 141677, 143947, 145132, 148361, 155470, 158667, 162822, 165773, 166356, 172752, 177738, 182399, 183377, 184151, 204170, 209569, 218465, 226915, 235940, 235988, 243575, 248581, 254828, 254900, 254960, 255065, 258921, 259111, 259806, 260235, 260987, 261144, 261297, 261350, 261413, 261415, 261490, 261527, 261593, 261635, 261719, 261744, 261798, 261983, 262090, 262157, 262210, 262215, 262240, 262418, 262433, 262435, 262465, 262524, 262750, 262880, 262976, 263014, 263057, 263063, 263083, 263111, 263533, 263819, 263936, 264091, 264236, 264261, 264331, 264348, 264422, 264490, 264523, 264641, 264663, 264700, 264704, 264731, 264986, 265156, 265209, 265404, 265460, 265565, 265789, 265923, 265970, 267070, 267079, 267118, 267659, 267713, 269250, 269281, 269348, 270761, 271921, 272482, 272956, 276543, 295127, 296047, 296724, 300790, 301264, 301985, 302299, 305276, 306631, 309554, 317547, 317824, 318117, 333658, 335498, 335635, 336078, 337881, 338609, 338627, 338801, 340412, 342386, 342671, 343792, 344459, 350834, 352137, 356592, 357106, 359912, 385901, 387691, 388997, 417975, 428858, 432763, 464742, 512030, 517081, 555634, 569210 ]
3
[ 0, 27, 386, 116, 63, 115, 50, 13, 423, 642, 508, 76, 31, 94, 357, 438, 131, 697, 3519, 663, 6160, 21419, 7094, 27, 9, 78, 82, 266, 245, 81, 1694, 195, 259, 508, 542, 141, 0, 89, 579, 226, 388, 1115, 111, 1185, 34, 80, 216, 768, 93, 62, 1588, 218, 990, 627, 1624, 1587, 3, 3526, 565, 466, 227, 9449, 14918, 79, 3246, 209, 27092, 7286, 4641, 430, 64, 1797, 214, 34, 2581, 6121, 2270, 1185, 3229, 7109, 3197, 4155, 2951, 583, 6396, 4986, 4661, 978, 774, 20019, 5399, 8896, 8450, 9025, 48, 7587, 5006, 6247, 72, 60, 105, 3856, 190, 695, 429, 752, 157, 153, 53, 63, 2, 75, 37, 66, 42, 84, 25, 54, 185, 107, 67, 53, 5, 25, 178, 15, 2, 30, 59, 226, 130, 96, 38, 43, 6, 20, 28, 422, 286, 117, 155, 145, 25, 70, 17, 74, 68, 33, 118, 22, 37, 4, 27, 255, 170, 53, 195, 56, 105, 224, 134, 47, 1100, 9, 39, 541, 54, 1537, 31, 67, 1413, 1160, 561, 474, 3587, 18584, 920, 677, 4066, 474, 721, 314, 2977, 1355, 2923, 7993, 277, 293, 15541, 1840, 137, 443, 1803, 728, 18, 174, 1611, 1974, 285, 1121, 667, 6375, 1303, 4455, 514, 2806, 25989, 1790, 1306, 28978, 10883, 3905, 31979, 47288, 5051, 38553, 13576 ]
217
4,959
[ 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
[ 0, 25, 40, 48, 50, 58, 63, 74, 150, 174, 177, 185, 188, 194, 234, 241, 257, 268, 271, 286, 295, 296, 313, 320, 411, 413, 436, 441, 462, 465, 493, 496, 552, 558, 559, 601, 670, 678, 686, 689, 698, 768, 796, 798, 818, 839, 843, 860, 865, 870, 870, 873, 877, 884, 902, 928, 978, 987, 1051, 1059, 1100, 1144, 1164, 1287, 1358, 1364, 1366, 1373, 1387, 1457, 1465, 1483, 1593, 1605, 1613, 1622, 1688, 1748, 1813, 1940, 2116, 2118, 2175, 2237, 2260, 2290, 2334, 2369, 2377, 2438, 2489, 2499, 2613, 2632, 2846, 3109, 3158, 3484, 3534, 3545, 3562, 3594, 3646, 3764, 3891, 3899, 3922, 3924, 4179, 4209, 4262, 4546, 4691, 4747, 4818, 5165, 5295, 5300, 5424, 5491, 5586, 5617, 5669, 5992, 6468, 6698, 7096, 7196, 7241, 8190, 8809, 9484, 9998, 10049, 10100, 10661, 12137, 12443, 12496, 13636, 13705, 16035, 19030, 21076, 21827, 27389, 30023, 30538, 32130 ]
3
[ 0, 25, 15, 8, 2, 8, 5, 11, 76, 24, 3, 8, 3, 6, 40, 7, 16, 11, 3, 15, 9, 1, 17, 7, 91, 2, 23, 5, 21, 3, 28, 3, 56, 6, 1, 42, 69, 8, 8, 3, 9, 70, 28, 2, 20, 21, 4, 17, 5, 5, 0, 3, 4, 7, 18, 26, 50, 9, 64, 8, 41, 44, 20, 123, 71, 6, 2, 7, 14, 70, 8, 18, 110, 12, 8, 9, 66, 60, 65, 127, 176, 2, 57, 62, 23, 30, 44, 35, 8, 61, 51, 10, 114, 19, 214, 263, 49, 326, 50, 11, 17, 32, 52, 118, 127, 8, 23, 2, 255, 30, 53, 284, 145, 56, 71, 347, 130, 5, 124, 67, 95, 31, 52, 323, 476, 230, 398, 100, 45, 949, 619, 675, 514, 51, 51, 561, 1476, 306, 53, 1140, 69, 2330, 2995, 2046, 751, 5562, 2634, 515, 1592 ]
149
4,960
[ 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 1, 18, 47, 48, 50, 54, 64, 70, 70, 71, 76, 83, 84, 100, 106, 108, 110, 115, 118, 121, 123, 162, 173, 183, 207, 209, 233, 233, 355, 394, 401, 401, 483, 512, 519, 543, 559, 583, 600, 672, 683, 709, 829, 865, 898, 929, 966, 970, 1037, 1046, 1109, 1148, 1559, 1705, 1852, 1936, 2157, 2316, 2363, 2370, 2535, 2572, 2745, 2745, 2776, 2798, 2808, 3019, 3099, 3205, 3242, 3648, 3657, 3693, 3778, 3995, 4279, 4418, 4479, 4569, 4667, 5302, 5366, 5411, 5744, 5790, 6513, 6721, 6790, 6819, 6918, 7592, 9020, 9090, 9984, 10369, 10482, 10752, 10903, 11135, 11673, 11788, 11861, 12027, 12089, 12234, 12441, 12706, 12973, 12985, 13450, 13469, 13761, 13799, 15849, 16222, 16586, 16734, 16943, 17528, 17547, 17772, 20917, 21020, 21509, 21559, 23614, 24036, 24322, 25200, 25225, 26333, 26482, 26701, 26717, 26733, 27830, 27875, 27960, 28462, 28716, 30065, 31478, 31768, 31896, 32116, 32491, 32790, 33350, 33926, 39043, 41462, 58133, 74256, 80115, 82930, 87713, 108269, 109466, 126040, 171042, 220850, 271127, 300449 ]
3
[ 0, 1, 17, 29, 1, 2, 4, 10, 6, 0, 1, 5, 7, 1, 16, 6, 2, 2, 5, 3, 3, 2, 39, 11, 10, 24, 2, 24, 0, 122, 39, 7, 0, 82, 29, 7, 24, 16, 24, 17, 72, 11, 26, 120, 36, 33, 31, 37, 4, 67, 9, 63, 39, 411, 146, 147, 84, 221, 159, 47, 7, 165, 37, 173, 0, 31, 22, 10, 211, 80, 106, 37, 406, 9, 36, 85, 217, 284, 139, 61, 90, 98, 635, 64, 45, 333, 46, 723, 208, 69, 29, 99, 674, 1428, 70, 894, 385, 113, 270, 151, 232, 538, 115, 73, 166, 62, 145, 207, 265, 267, 12, 465, 19, 292, 38, 2050, 373, 364, 148, 209, 585, 19, 225, 3145, 103, 489, 50, 2055, 422, 286, 878, 25, 1108, 149, 219, 16, 16, 1097, 45, 85, 502, 254, 1349, 1413, 290, 128, 220, 375, 299, 560, 576, 5117, 2419, 16671, 16123, 5859, 2815, 4783, 20556, 1197, 16574, 45002, 49808, 50277, 29322 ]
165
4,961
[ 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 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, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0 ]
[ 0, 18, 44, 55, 83, 142, 145, 163, 163, 166, 170, 175, 175, 176, 177, 185, 188, 191, 193, 193, 194, 195, 197, 197, 202, 202, 208, 214, 215, 216, 217, 218, 224, 227, 227, 235, 236, 239, 239, 243, 245, 246, 252, 257, 258, 265, 274, 280, 284, 285, 291, 295, 295, 300, 307, 311, 315, 324, 343, 364, 364, 367, 379, 383, 461, 461, 467, 479, 480, 490, 523, 547, 611, 616, 698, 823, 835, 874, 1047, 1147, 1220, 1238, 1734, 1921, 2232, 3251, 3975, 4101, 4317, 4735, 6653, 8068, 8152, 9656, 10938, 12856, 13096, 17315, 19241, 22418, 22445, 23370, 23406, 95847, 101150, 158656, 249564, 249713, 436279 ]
3
[ 0, 18, 26, 11, 28, 59, 3, 18, 0, 3, 4, 5, 0, 1, 1, 8, 3, 3, 2, 0, 1, 1, 2, 0, 5, 0, 6, 6, 1, 1, 1, 1, 6, 3, 0, 8, 1, 3, 0, 4, 2, 1, 6, 5, 1, 7, 9, 6, 4, 1, 6, 4, 0, 5, 7, 4, 4, 9, 19, 21, 0, 3, 12, 4, 78, 0, 6, 12, 1, 10, 33, 24, 64, 5, 82, 125, 12, 39, 173, 100, 73, 18, 496, 187, 311, 1019, 724, 126, 216, 418, 1918, 1415, 84, 1504, 1282, 1918, 240, 4219, 1926, 3177, 27, 925, 36, 72441, 5303, 57506, 90908, 149, 186566 ]
109
4,962
[ 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0 ]
[ 0, 89, 94, 212, 319, 819, 866, 983, 1018, 1192, 1311, 1446, 1459, 1478, 1493, 1666, 1705, 1768, 2266, 2323, 2475, 2526, 2558, 2608, 2915, 2917, 2988, 4273, 4273, 5262, 5988, 6154, 7533, 7842, 9627, 12013, 13605, 13618, 13640, 13641, 13824, 13994, 14276, 14397, 14668, 15225, 15771, 15927, 16630, 19341, 23738, 23818, 26575, 27394, 30616, 30750, 45393, 47754, 49152, 58620 ]
3
[ 0, 89, 5, 118, 107, 500, 47, 117, 35, 174, 119, 135, 13, 19, 15, 173, 39, 63, 498, 57, 152, 51, 32, 50, 307, 2, 71, 1285, 0, 989, 726, 166, 1379, 309, 1785, 2386, 1592, 13, 22, 1, 183, 170, 282, 121, 271, 557, 546, 156, 703, 2711, 4397, 80, 2757, 819, 3222, 134, 14643, 2361, 1398, 9468 ]
60
4,963
[ 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0 ]
[ 0, 0, 3, 3, 5, 7, 8, 8, 9, 10, 12, 13, 15, 17, 27, 29, 30, 31, 39, 39, 40, 41, 41, 42, 48, 52, 59, 62, 62, 71, 77, 77, 83, 92, 109, 114, 115, 117, 120, 126, 131, 164, 184, 193, 229, 232, 233, 236, 296, 297, 298, 357, 403, 489, 508, 515, 528, 546, 581, 603, 632, 756, 763, 782, 929, 1211, 1357, 1395, 1436, 2139, 2362, 2663, 2908, 3161, 3273, 3282, 3402, 3429, 4438, 4555, 5200, 6438, 6504, 6724, 6799, 6904, 7112, 9454, 9696, 9739, 9946, 10099, 10221, 10269, 10457, 11559, 11996, 12004, 15564, 16899, 17205, 18236, 20141, 20351, 22710, 22798, 23132, 23409, 24398, 25333, 25900, 26016, 26660, 26939, 27036, 27036, 27131, 27371, 27851, 28294, 29118, 36605, 37334, 37917, 39450, 39476, 46204, 48397, 59372, 65205, 69001, 69416, 69722, 71582, 71710, 74702, 75147, 75182, 75197, 76500, 80369, 80598, 85384, 91531, 94125, 100285, 108487, 121405, 151568, 163421, 170272, 238016, 243120, 258976, 292140, 520509, 603869 ]
3
[ 0, 0, 3, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 10, 2, 1, 1, 8, 0, 1, 1, 0, 1, 6, 4, 7, 3, 0, 9, 6, 0, 6, 9, 17, 5, 1, 2, 3, 6, 5, 33, 20, 9, 36, 3, 1, 3, 60, 1, 1, 59, 46, 86, 19, 7, 13, 18, 35, 22, 29, 124, 7, 19, 147, 282, 146, 38, 41, 703, 223, 301, 245, 253, 112, 9, 120, 27, 1009, 117, 645, 1238, 66, 220, 75, 105, 208, 2342, 242, 43, 207, 153, 122, 48, 188, 1102, 437, 8, 3560, 1335, 306, 1031, 1905, 210, 2359, 88, 334, 277, 989, 935, 567, 116, 644, 279, 97, 0, 95, 240, 480, 443, 824, 7487, 729, 583, 1533, 26, 6728, 2193, 10975, 5833, 3796, 415, 306, 1860, 128, 2992, 445, 35, 15, 1303, 3869, 229, 4786, 6147, 2594, 6160, 8202, 12918, 30163, 11853, 6851, 67744, 5104, 15856, 33164, 228369, 83360 ]
157
4,964
[ 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1 ]
[ 0, 3, 12, 14, 16, 18, 22, 32, 33, 44, 64, 74, 75, 77, 92, 93, 100, 100, 112, 117, 117, 151, 159, 161, 163, 195, 200, 203, 205, 206, 220, 227, 234, 254, 270, 271, 275, 289, 295, 311, 314, 330, 337, 346, 406, 425, 432, 439, 498, 505, 520, 548, 706, 714, 735, 739, 765, 774, 776, 811, 858, 1095, 1161, 1184, 1190, 1377, 1584, 1972, 2325, 2349, 2484, 2720, 2803, 2819, 3099, 3125, 4042, 4207, 6130, 6294, 6419, 6832, 7044, 7774, 8491, 9931, 10417, 12636, 15101, 17995, 23232, 30379 ]
3
[ 0, 3, 9, 2, 2, 2, 4, 10, 1, 11, 20, 10, 1, 2, 15, 1, 7, 0, 12, 5, 0, 34, 8, 2, 2, 32, 5, 3, 2, 1, 14, 7, 7, 20, 16, 1, 4, 14, 6, 16, 3, 16, 7, 9, 60, 19, 7, 7, 59, 7, 15, 28, 158, 8, 21, 4, 26, 9, 2, 35, 47, 237, 66, 23, 6, 187, 207, 388, 353, 24, 135, 236, 83, 16, 280, 26, 917, 165, 1923, 164, 125, 413, 212, 730, 717, 1440, 486, 2219, 2465, 2894, 5237, 7147 ]
92
4,965
[ 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0 ]
[ 0, 3, 11, 13, 23, 33, 33, 43, 51, 56, 66, 68, 71, 79, 85, 89, 93, 96, 98, 101, 103, 104, 104, 104, 124, 127, 161, 163, 168, 191, 196, 196, 198, 200, 201, 213, 231, 241, 246, 273, 277, 303, 365, 412, 471, 525, 578, 585, 593, 605, 643, 668, 679, 756, 793, 850, 855, 917, 1105, 1114, 1325, 1345, 1369, 1376, 1743, 1743, 1764, 1773, 1860, 1943, 2077, 2201, 2405, 2485, 3111, 3771, 3899, 3920, 4176, 4814, 5152, 5475, 6200, 6649, 7838, 8431, 9146, 9348, 10498, 10827, 11149, 11326, 11547, 12475, 12909, 14159, 16146, 16471, 16570, 16755, 18288, 20612, 20853, 21785, 22159, 22752, 23105, 25003, 25122, 25690, 25776, 26335, 27026, 28700, 29724, 30510, 30715, 31014, 31158, 32231, 34077, 35573, 36624, 36752, 38116, 38478, 43320, 43737, 45113, 48206, 52952, 59893, 68455, 71167, 71558, 76363, 81141, 81462, 91469, 96643, 115931, 124015, 133386, 144366, 144645, 151459, 152332, 155373, 170500, 177254, 193108, 204558, 216712, 245423, 356480, 359374, 371978, 424078, 441273, 493056, 539910 ]
3
[ 0, 3, 8, 2, 10, 10, 0, 10, 8, 5, 10, 2, 3, 8, 6, 4, 4, 3, 2, 3, 2, 1, 0, 0, 20, 3, 34, 2, 5, 23, 5, 0, 2, 2, 1, 12, 18, 10, 5, 27, 4, 26, 62, 47, 59, 54, 53, 7, 8, 12, 38, 25, 11, 77, 37, 57, 5, 62, 188, 9, 211, 20, 24, 7, 367, 0, 21, 9, 87, 83, 134, 124, 204, 80, 626, 660, 128, 21, 256, 638, 338, 323, 725, 449, 1189, 593, 715, 202, 1150, 329, 322, 177, 221, 928, 434, 1250, 1987, 325, 99, 185, 1533, 2324, 241, 932, 374, 593, 353, 1898, 119, 568, 86, 559, 691, 1674, 1024, 786, 205, 299, 144, 1073, 1846, 1496, 1051, 128, 1364, 362, 4842, 417, 1376, 3093, 4746, 6941, 8562, 2712, 391, 4805, 4778, 321, 10007, 5174, 19288, 8084, 9371, 10980, 279, 6814, 873, 3041, 15127, 6754, 15854, 11450, 12154, 28711, 111057, 2894, 12604, 52100, 17195, 51783, 46854 ]
161
4,966
[ 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0 ]
[ 0, 22, 315, 725, 757, 797, 840, 901, 946, 946, 1007, 1021, 1186, 1304, 1348, 1359, 1362, 1399, 1464, 1573, 1594, 1676, 1678, 1760, 1849, 1994, 2084, 2299, 3478, 4213, 4737, 6215, 6360, 6399, 6431, 6441, 6456, 6493, 6501, 6507, 6507, 6526, 6534, 6534, 6567, 6603, 6624, 6632, 6634, 6647, 6726, 6763, 6833, 6845, 6881, 6892, 6905, 6912, 7103, 7211, 7220, 7230, 7306, 7681, 7974, 8080, 8132, 8189, 8298, 8330, 8782, 8790, 8836, 9411, 9882, 10613, 12089, 12238, 12301, 12330, 12345, 51090, 51121, 51154, 51191, 51220, 51222, 51230, 51292, 51304, 51553, 51560, 51561, 51946, 52037, 52116, 52169, 52289, 52660, 53055, 53330, 53513, 54041, 54238, 54876, 56144, 56939, 58654, 60023, 60672, 69928, 70204, 82217 ]
3
[ 0, 22, 293, 410, 32, 40, 43, 61, 45, 0, 61, 14, 165, 118, 44, 11, 3, 37, 65, 109, 21, 82, 2, 82, 89, 145, 90, 215, 1179, 735, 524, 1478, 145, 39, 32, 10, 15, 37, 8, 6, 0, 19, 8, 0, 33, 36, 21, 8, 2, 13, 79, 37, 70, 12, 36, 11, 13, 7, 191, 108, 9, 10, 76, 375, 293, 106, 52, 57, 109, 32, 452, 8, 46, 575, 471, 731, 1476, 149, 63, 29, 15, 38745, 31, 33, 37, 29, 2, 8, 62, 12, 249, 7, 1, 385, 91, 79, 53, 120, 371, 395, 275, 183, 528, 197, 638, 1268, 795, 1715, 1369, 649, 9256, 276, 12013 ]
113
4,967
[ 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 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, 1, 0 ]
[ 0, 1, 5, 7, 7, 9, 11, 12, 13, 14, 14, 16, 16, 22, 30, 31, 32, 36, 36, 41, 46, 49, 61, 86, 90, 92, 93, 95, 97, 98, 99, 104, 114, 117, 129, 134, 136, 140, 159, 161, 161, 162, 164, 175, 187, 206, 234, 239, 264, 412, 419, 419, 435, 473, 502, 528, 534, 567, 675, 737, 758, 830, 877, 1338, 1760, 2099, 2265, 3064, 6657, 6696, 9089, 10368, 15419, 17449, 18080, 20132, 50965, 55235, 64931, 65069, 65111, 65130, 79723, 81415, 91838, 91914, 145829, 157889, 164253, 165880, 165948, 169328, 260345, 260913, 264480, 327924, 327932, 327975, 357817, 586683 ]
3
[ 0, 1, 4, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 6, 8, 1, 1, 4, 0, 5, 5, 3, 12, 25, 4, 2, 1, 2, 2, 1, 1, 5, 10, 3, 12, 5, 2, 4, 19, 2, 0, 1, 2, 11, 12, 19, 28, 5, 25, 148, 7, 0, 16, 38, 29, 26, 6, 33, 108, 62, 21, 72, 47, 461, 422, 339, 166, 799, 3593, 39, 2393, 1279, 5051, 2030, 631, 2052, 30833, 4270, 9696, 138, 42, 19, 14593, 1692, 10423, 76, 53915, 12060, 6364, 1627, 68, 3380, 91017, 568, 3567, 63444, 8, 43, 29842, 228866 ]
100
4,968
[ 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1 ]
[ 0, 145, 171, 183, 191, 208, 217, 266, 292, 303, 440, 596, 724, 803, 1029, 1695, 4409, 5460, 6251, 9302, 17585, 21311, 21329, 21349, 21350, 21395, 21414, 21445, 21457, 21487, 21523, 21530, 21687, 21791, 22070, 22235, 22791, 23537, 23683, 23703, 23787, 23888, 23974, 24475, 24586, 24958, 25060, 25161, 25727, 25760, 25875, 26004, 26064, 26286, 26391, 26534, 26592, 26670, 26768, 26831, 26897, 27048, 27145, 27192, 27534, 27853, 27924, 27953, 28191, 28316, 28414, 28508, 29211, 29349, 29539, 29717, 30230, 30401, 30405, 30826, 30850, 30999, 31327, 31767, 32885, 33018, 33189, 33591, 34086, 34845, 35835, 35904, 35967, 35984, 36016, 36040, 36057, 36088, 36102, 36115, 36131, 36231, 36261, 36286, 36287, 36334, 36646, 36678, 36800, 37358, 37698, 37763, 38137, 38310, 38397, 38637, 38679, 38920, 39608, 39734, 39827, 40274, 41435, 43071, 43095, 43313, 44094, 44926, 45243, 47180, 47188, 48621, 50437, 50785, 54372, 54994, 56158, 57571, 67497, 74968, 75865, 82673, 122301, 303417, 304124, 304125, 307003 ]
3
[ 0, 145, 26, 12, 8, 17, 9, 49, 26, 11, 137, 156, 128, 79, 226, 666, 2714, 1051, 791, 3051, 8283, 3726, 18, 20, 1, 45, 19, 31, 12, 30, 36, 7, 157, 104, 279, 165, 556, 746, 146, 20, 84, 101, 86, 501, 111, 372, 102, 101, 566, 33, 115, 129, 60, 222, 105, 143, 58, 78, 98, 63, 66, 151, 97, 47, 342, 319, 71, 29, 238, 125, 98, 94, 703, 138, 190, 178, 513, 171, 4, 421, 24, 149, 328, 440, 1118, 133, 171, 402, 495, 759, 990, 69, 63, 17, 32, 24, 17, 31, 14, 13, 16, 100, 30, 25, 1, 47, 312, 32, 122, 558, 340, 65, 374, 173, 87, 240, 42, 241, 688, 126, 93, 447, 1161, 1636, 24, 218, 781, 832, 317, 1937, 8, 1433, 1816, 348, 3587, 622, 1164, 1413, 9926, 7471, 897, 6808, 39628, 181116, 707, 1, 2878 ]
147
4,969
[ 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1 ]
[ 0, 1, 2, 7, 12, 16, 30, 47, 55, 62, 65, 65, 76, 86, 88, 94, 105, 105, 107, 117, 120, 130, 141, 144, 181, 192, 243, 251, 265, 265, 277, 453, 470, 511, 578, 591, 635, 660, 706, 843, 850, 945, 1000, 1031, 1317, 1356, 1594, 1618, 2259, 2310, 2324, 2864, 3559, 3639, 3654, 4197, 4249, 4522, 4558, 5455, 5752, 6335, 9033, 10217, 12260, 12270, 12297, 12322, 12350, 12363, 12384, 12609, 12644, 12687, 12797, 12998, 13202, 13259, 13313, 13321, 13366, 13392, 13394, 13437, 13463, 13594, 13766, 13774, 13889, 14107, 14330, 14404, 14642, 14680, 14710, 14753, 14775, 14777, 14796, 14801, 14986, 15005, 15073, 15242, 15250, 15320, 16173, 17050, 17154, 17183, 17776, 17940, 17983, 18094, 19474, 19910, 21575, 22365, 27653, 29513, 33070, 33631, 34715, 35319, 36939, 43845, 48461, 52338, 58710, 68217, 68491, 68735, 69499, 88246, 88289, 88325, 88361, 88421, 88513, 88514, 88550, 88565, 88577, 88599, 88650, 88656, 88699, 88768, 88851, 88859, 88981, 94487, 96636, 110638, 116190, 126171, 135500, 135581, 170374, 175504, 181261, 192006, 206803, 211396, 228876, 258395, 291299, 320638, 331720, 332766, 334560, 346624, 347535, 364593, 397792, 441129, 445081, 448301, 480331, 537129, 564368 ]
3
[ 0, 1, 1, 5, 5, 4, 14, 17, 8, 7, 3, 0, 11, 10, 2, 6, 11, 0, 2, 10, 3, 10, 11, 3, 37, 11, 51, 8, 14, 0, 12, 176, 17, 41, 67, 13, 44, 25, 46, 137, 7, 95, 55, 31, 286, 39, 238, 24, 641, 51, 14, 540, 695, 80, 15, 543, 52, 273, 36, 897, 297, 583, 2698, 1184, 2043, 10, 27, 25, 28, 13, 21, 225, 35, 43, 110, 201, 204, 57, 54, 8, 45, 26, 2, 43, 26, 131, 172, 8, 115, 218, 223, 74, 238, 38, 30, 43, 22, 2, 19, 5, 185, 19, 68, 169, 8, 70, 853, 877, 104, 29, 593, 164, 43, 111, 1380, 436, 1665, 790, 5288, 1860, 3557, 561, 1084, 604, 1620, 6906, 4616, 3877, 6372, 9507, 274, 244, 764, 18747, 43, 36, 36, 60, 92, 1, 36, 15, 12, 22, 51, 6, 43, 69, 83, 8, 122, 5506, 2149, 14002, 5552, 9981, 9329, 81, 34793, 5130, 5757, 10745, 14797, 4593, 17480, 29519, 32904, 29339, 11082, 1046, 1794, 12064, 911, 17058, 33199, 43337, 3952, 3220, 32030, 56798, 27239 ]
181
4,970
[ 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0 ]
[ 0, 2, 18, 30, 31, 37, 37, 38, 55, 56, 71, 81, 113, 123, 127, 160, 171, 223, 227, 229, 239, 280, 352, 363, 384, 469, 515, 523, 523, 623, 735, 766, 789, 799, 805, 829, 838, 863, 905, 927, 1101, 1106, 1272, 1394, 1402, 1661, 3139, 3572, 3758, 3796, 3825, 3844, 4024, 4144, 5697, 5711, 6058, 10327, 11545, 11974, 11992, 12005, 12017, 12144, 12354, 12576, 12762, 12836, 12962, 13563, 13966, 14127, 15178, 15284, 15832, 17863, 20652, 20712, 24590, 26604, 28985, 34525, 35772, 36824, 37445, 38751, 39757, 51966, 235188, 235290, 236399, 236708, 250108, 250167, 250252, 259048 ]
3
[ 0, 2, 16, 12, 1, 6, 0, 1, 17, 1, 15, 10, 32, 10, 4, 33, 11, 52, 4, 2, 10, 41, 72, 11, 21, 85, 46, 8, 0, 100, 112, 31, 23, 10, 6, 24, 9, 25, 42, 22, 174, 5, 166, 122, 8, 259, 1478, 433, 186, 38, 29, 19, 180, 120, 1553, 14, 347, 4269, 1218, 429, 18, 13, 12, 127, 210, 222, 186, 74, 126, 601, 403, 161, 1051, 106, 548, 2031, 2789, 60, 3878, 2014, 2381, 5540, 1247, 1052, 621, 1306, 1006, 12209, 183222, 102, 1109, 309, 13400, 59, 85, 8796 ]
96
4,971
[ 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0 ]
[ 0, 3, 6, 17, 27, 43, 48, 76, 81, 82, 98, 109, 113, 122, 128, 129, 130, 138, 140, 157, 157, 181, 182, 203, 233, 252, 255, 259, 260, 304, 333, 335, 335, 335, 344, 369, 377, 383, 405, 426, 467, 470, 475, 488, 506, 528, 536, 543, 583, 601, 627, 635, 652, 667, 675, 704, 728, 741, 763, 770, 782, 790, 825, 828, 829, 837, 854, 864, 949, 953, 987, 1003, 1013, 1090, 1258, 1354, 1393, 1475, 1849, 2016, 2038, 2110, 2118, 2179, 2179, 2199, 2203, 2207, 2209, 2218, 2228, 2232, 2233, 2270, 2343, 2353, 2401, 2422, 2450, 2461, 2496, 2755, 2799, 2825, 2835, 2854, 2967, 2999, 3193, 3368, 3465, 3481, 3684, 3982, 3989, 4483, 4635, 5231, 6043, 6209, 7450, 14384 ]
3
[ 0, 3, 3, 11, 10, 16, 5, 28, 5, 1, 16, 11, 4, 9, 6, 1, 1, 8, 2, 17, 0, 24, 1, 21, 30, 19, 3, 4, 1, 44, 29, 2, 0, 0, 9, 25, 8, 6, 22, 21, 41, 3, 5, 13, 18, 22, 8, 7, 40, 18, 26, 8, 17, 15, 8, 29, 24, 13, 22, 7, 12, 8, 35, 3, 1, 8, 17, 10, 85, 4, 34, 16, 10, 77, 168, 96, 39, 82, 374, 167, 22, 72, 8, 61, 0, 20, 4, 4, 2, 9, 10, 4, 1, 37, 73, 10, 48, 21, 28, 11, 35, 259, 44, 26, 10, 19, 113, 32, 194, 175, 97, 16, 203, 298, 7, 494, 152, 596, 812, 166, 1241, 6934 ]
122
4,972
[ 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ]
[ 0, 4, 18, 24, 27, 33, 36, 42, 51, 53, 54, 57, 59, 83, 84, 86, 95, 95, 97, 105, 106, 108, 123, 131, 139, 142, 145, 154, 156, 163, 175, 188, 188, 217, 221, 223, 232, 239, 241, 255, 307, 311, 353, 374, 394, 433, 658, 806, 842, 857, 898, 949, 1031, 1284, 1398, 1475, 1644, 1710, 1810, 2080, 2163, 2473, 2780, 2781, 4028, 4042, 4487, 31213, 51201, 51526, 103010, 255680 ]
3
[ 0, 4, 14, 6, 3, 6, 3, 6, 9, 2, 1, 3, 2, 24, 1, 2, 9, 0, 2, 8, 1, 2, 15, 8, 8, 3, 3, 9, 2, 7, 12, 13, 0, 29, 4, 2, 9, 7, 2, 14, 52, 4, 42, 21, 20, 39, 225, 148, 36, 15, 41, 51, 82, 253, 114, 77, 169, 66, 100, 270, 83, 310, 307, 1, 1247, 14, 445, 26726, 19988, 325, 51484, 152670 ]
72
4,973
[ 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1 ]
[ 0, 20, 74, 74, 78, 82, 87, 91, 96, 133, 300, 345, 398, 472, 551, 797, 832, 1080, 1289, 1535, 2120, 2124, 2314, 2557, 2561, 2845, 2982, 3023, 3093, 3296, 3335, 3527, 4017, 4066, 4156, 4185, 4911, 5116, 6989, 7118, 7252, 8582, 11167, 11487, 13722, 17353, 19431, 23983, 25916, 27997, 75353, 85159 ]
3
[ 0, 20, 54, 0, 4, 4, 5, 4, 5, 37, 167, 45, 53, 74, 79, 246, 35, 248, 209, 246, 585, 4, 190, 243, 4, 284, 137, 41, 70, 203, 39, 192, 490, 49, 90, 29, 726, 205, 1873, 129, 134, 1330, 2585, 320, 2235, 3631, 2078, 4552, 1933, 2081, 47356, 9806 ]
52
4,974
[ 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0 ]
[ 0, 25, 27, 34, 39, 40, 72, 76, 79, 85, 126, 131, 144, 224, 239, 243, 250, 251, 260, 291, 293, 364, 364, 377, 412, 414, 429, 519, 521, 610, 662, 737, 776, 980, 1137, 1365, 1397, 1560, 1687, 1802, 1814, 1822, 1906, 1934, 2014, 2019, 2100, 2108, 2156, 2164, 2214, 2310, 2335, 2358, 2365, 2375, 2401, 2444, 2465, 2469, 2483, 2484, 2506, 2546, 2548, 2550, 2583, 2635, 2712, 2792, 2828, 2831, 2850, 2855, 2855, 2883, 2953, 2962, 3006, 3028, 3067, 3234, 3264, 3339, 3390, 3406, 3442, 3454, 3520, 3533, 3590, 3621, 3845, 3851, 3906, 3920, 4006, 4112, 4205, 4575, 4901, 4902, 4911, 5036, 5255, 5513, 5683, 5883, 6415, 6439, 6634, 7215, 7302, 8141, 8159, 8567, 8705, 8751, 8776, 9407, 10126, 11755, 11945, 11982, 12076, 12166, 12268, 13388, 13677, 14358, 16169, 17443, 17933, 18167, 20956, 37240, 42963, 47149, 60176, 66590, 271530 ]
3
[ 0, 25, 2, 7, 5, 1, 32, 4, 3, 6, 41, 5, 13, 80, 15, 4, 7, 1, 9, 31, 2, 71, 0, 13, 35, 2, 15, 90, 2, 89, 52, 75, 39, 204, 157, 228, 32, 163, 127, 115, 12, 8, 84, 28, 80, 5, 81, 8, 48, 8, 50, 96, 25, 23, 7, 10, 26, 43, 21, 4, 14, 1, 22, 40, 2, 2, 33, 52, 77, 80, 36, 3, 19, 5, 0, 28, 70, 9, 44, 22, 39, 167, 30, 75, 51, 16, 36, 12, 66, 13, 57, 31, 224, 6, 55, 14, 86, 106, 93, 370, 326, 1, 9, 125, 219, 258, 170, 200, 532, 24, 195, 581, 87, 839, 18, 408, 138, 46, 25, 631, 719, 1629, 190, 37, 94, 90, 102, 1120, 289, 681, 1811, 1274, 490, 234, 2789, 16284, 5723, 4186, 13027, 6414, 204940 ]
141
4,975
[ 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0 ]
[ 0, 1, 5, 13, 16, 25, 28, 38, 42, 53, 55, 56, 57, 67, 84, 85, 89, 97, 109, 119, 122, 122, 137, 150, 163, 165, 167, 188, 198, 215, 220, 224, 226, 299, 308, 313, 330, 369, 453, 483, 611, 647, 650, 654, 661, 817, 823, 834, 838, 905, 969, 1121, 1126, 1157, 1222, 1249, 1249, 1444, 1478, 1519, 1665, 1720, 1897, 2009, 2403, 2484, 2504, 2519, 2649, 2697, 2959, 3014, 3082, 3416, 3430, 3619, 3797, 3936, 4212, 4373, 4960, 5675, 6065, 6731, 7054, 7712, 7900, 8000, 8098, 10016, 10885, 11216, 11329, 11787, 12308, 12686, 13952, 15581, 30657, 30821, 37390, 40885, 45886, 49103, 65175, 77850, 82029, 82315, 102474, 102488, 102546, 102556, 102558, 102589, 102594, 102599, 102604, 102628, 102639, 102751, 102766, 102832, 102895, 102935, 102940, 102943, 102951, 103215, 103440, 103492, 103772, 105020, 109027, 121365, 121772, 125454, 161951, 175520, 192487, 224715, 238744, 273222, 291733, 292878, 293621, 294167, 312488, 382608, 426633, 433811, 436186, 436211, 460658, 499977, 525118 ]
3
[ 0, 1, 4, 8, 3, 9, 3, 10, 4, 11, 2, 1, 1, 10, 17, 1, 4, 8, 12, 10, 3, 0, 15, 13, 13, 2, 2, 21, 10, 17, 5, 4, 2, 73, 9, 5, 17, 39, 84, 30, 128, 36, 3, 4, 7, 156, 6, 11, 4, 67, 64, 152, 5, 31, 65, 27, 0, 195, 34, 41, 146, 55, 177, 112, 394, 81, 20, 15, 130, 48, 262, 55, 68, 334, 14, 189, 178, 139, 276, 161, 587, 715, 390, 666, 323, 658, 188, 100, 98, 1918, 869, 331, 113, 458, 521, 378, 1266, 1629, 15076, 164, 6569, 3495, 5001, 3217, 16072, 12675, 4179, 286, 20159, 14, 58, 10, 2, 31, 5, 5, 5, 24, 11, 112, 15, 66, 63, 40, 5, 3, 8, 264, 225, 52, 280, 1248, 4007, 12338, 407, 3682, 36497, 13569, 16967, 32228, 14029, 34478, 18511, 1145, 743, 546, 18321, 70120, 44025, 7178, 2375, 25, 24447, 39319, 25141 ]
155
4,976
[ 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0 ]
[ 0, 16, 17, 22, 23, 24, 62, 118, 351, 553, 577, 697, 834, 1181, 1233, 1240, 1279, 1371, 1417, 1491, 1593, 1712, 1805, 2562, 4653, 4852, 5016, 5096, 5213, 7074, 7910, 8054, 8554, 9007, 9510, 9795, 10332, 11681, 13159, 13171, 15444, 22131, 22781, 22849, 24583, 25334, 27123, 27123, 28735, 28758, 30948, 32490, 39347, 46817, 48267, 48267, 95682, 98589 ]
3
[ 0, 16, 1, 5, 1, 1, 38, 56, 233, 202, 24, 120, 137, 347, 52, 7, 39, 92, 46, 74, 102, 119, 93, 757, 2091, 199, 164, 80, 117, 1861, 836, 144, 500, 453, 503, 285, 537, 1349, 1478, 12, 2273, 6687, 650, 68, 1734, 751, 1789, 0, 1612, 23, 2190, 1542, 6857, 7470, 1450, 0, 47415, 2907 ]
58
4,977
[ 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1 ]
[ 0, 21, 32, 39, 46, 52, 65, 78, 80, 88, 91, 92, 97, 104, 117, 119, 121, 122, 126, 126, 126, 149, 152, 157, 161, 164, 268, 302, 335, 346, 355, 359, 363, 524, 557, 572, 651, 656, 668, 740, 794, 835, 908, 939, 1041, 1048, 1264, 1290, 1302, 1487, 1677, 1707, 1792, 1956, 2296, 2368, 2522, 2553, 2734, 2960, 3009, 3042, 3650, 3952, 3964, 4389, 5584, 5924, 5949, 6949, 7297, 7491, 9478, 11388, 11811, 15480, 16433, 16877, 18033, 20840, 23354, 24878, 28240, 29153, 34559, 58416, 61313, 63841, 216680, 430278, 495236 ]
3
[ 0, 21, 11, 7, 7, 6, 13, 13, 2, 8, 3, 1, 5, 7, 13, 2, 2, 1, 4, 0, 0, 23, 3, 5, 4, 3, 104, 34, 33, 11, 9, 4, 4, 161, 33, 15, 79, 5, 12, 72, 54, 41, 73, 31, 102, 7, 216, 26, 12, 185, 190, 30, 85, 164, 340, 72, 154, 31, 181, 226, 49, 33, 608, 302, 12, 425, 1195, 340, 25, 1000, 348, 194, 1987, 1910, 423, 3669, 953, 444, 1156, 2807, 2514, 1524, 3362, 913, 5406, 23857, 2897, 2528, 152839, 213598, 64958 ]
91
4,978
[ 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
[ 0, 24, 28, 34, 47, 70, 75, 107, 114, 198, 306, 351, 375, 477, 478, 541, 589, 595, 601, 602, 671, 719, 1945, 1983, 2062, 2582, 2693, 2978, 3129, 3184, 3409, 3586, 3775, 3819, 3968, 4068, 4168, 4363, 4442, 5358, 5389, 6544, 6569, 6651, 8060, 8138, 8165, 8227, 8398, 8419, 8910, 8958, 9304, 9827, 13378, 15865, 19006, 20401, 20751, 22717, 24508, 38983, 42632, 43494, 43629, 49437, 52505, 54270, 54736, 59167, 61158, 64654, 91475, 124963, 125045, 125315, 135013, 141927, 185994, 186961, 193942, 204065, 212218, 227971, 314640, 353812, 445176, 463265, 470169, 470257, 470461, 473971, 475197, 475228, 477311, 481396 ]
3
[ 0, 24, 4, 6, 13, 23, 5, 32, 7, 84, 108, 45, 24, 102, 1, 63, 48, 6, 6, 1, 69, 48, 1226, 38, 79, 520, 111, 285, 151, 55, 225, 177, 189, 44, 149, 100, 100, 195, 79, 916, 31, 1155, 25, 82, 1409, 78, 27, 62, 171, 21, 491, 48, 346, 523, 3551, 2487, 3141, 1395, 350, 1966, 1791, 14475, 3649, 862, 135, 5808, 3068, 1765, 466, 4431, 1991, 3496, 26821, 33488, 82, 270, 9698, 6914, 44067, 967, 6981, 10123, 8153, 15753, 86669, 39172, 91364, 18089, 6904, 88, 204, 3510, 1226, 31, 2083, 4085 ]
96
4,979
[ 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
[ 0, 13, 35, 58, 217, 228, 247, 250, 320, 341, 405, 690, 744, 784, 1002, 1119, 1321, 1375, 1474, 1722, 2308, 2409, 2627, 2789, 2878, 3092, 3158, 3324, 3868, 4089, 4629, 5045, 5087, 5590, 5870, 6518, 7517, 8750, 9140, 11320, 12663, 14673, 18032, 20501, 26705, 27293, 32413, 33406, 45925, 52348, 104240, 151624, 184912, 184912 ]
3
[ 0, 13, 22, 23, 159, 11, 19, 3, 70, 21, 64, 285, 54, 40, 218, 117, 202, 54, 99, 248, 586, 101, 218, 162, 89, 214, 66, 166, 544, 221, 540, 416, 42, 503, 280, 648, 999, 1233, 390, 2180, 1343, 2010, 3359, 2469, 6204, 588, 5120, 993, 12519, 6423, 51892, 47384, 33288, 0 ]
54
4,980
[ 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0 ]
[ 0, 0, 3, 7, 7, 10, 17, 32, 35, 52, 53, 55, 61, 64, 65, 83, 84, 85, 88, 92, 102, 114, 115, 117, 121, 128, 136, 161, 167, 204, 209, 209, 210, 215, 227, 232, 259, 259, 266, 290, 315, 392, 394, 404, 430, 452, 454, 687, 695, 796, 821, 924, 939, 1125, 1335, 1397, 1542, 1874, 1887, 2018, 2224, 2319, 2428, 2495, 2515, 3465, 3476, 3796, 4137, 7015, 8109, 8797, 8815, 9941, 12413, 13996, 17308, 18627, 19688, 30010, 30618, 51894, 58289, 78531 ]
3
[ 0, 0, 3, 4, 0, 3, 7, 15, 3, 17, 1, 2, 6, 3, 1, 18, 1, 1, 3, 4, 10, 12, 1, 2, 4, 7, 8, 25, 6, 37, 5, 0, 1, 5, 12, 5, 27, 0, 7, 24, 25, 77, 2, 10, 26, 22, 2, 233, 8, 101, 25, 103, 15, 186, 210, 62, 145, 332, 13, 131, 206, 95, 109, 67, 20, 950, 11, 320, 341, 2878, 1094, 688, 18, 1126, 2472, 1583, 3312, 1319, 1061, 10322, 608, 21276, 6395, 20242 ]
84
4,981
[ 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0 ]
[ 0, 6, 30, 61, 96, 161, 189, 197, 226, 254, 288, 345, 427, 457, 491, 525, 717, 985, 1054, 1103, 1607, 2093, 2155, 2289, 2415, 4521, 4607, 5391, 5495, 5512, 6024, 6205, 7118, 7760, 7791, 7816, 7836, 7842, 7885, 7896, 7905, 8004, 8015, 8115, 8208, 8243, 8403, 8720, 15035, 15071, 15090, 15101, 15152, 15248, 19754, 75118, 75228, 75382, 75479, 75494, 75534, 75653, 75655, 75698, 75772, 77372, 77513, 78114, 78149, 78192, 78323, 78756, 83325, 89551, 90033, 109461, 109582, 118253, 200157, 200213, 200312, 200584, 200723, 200788, 200972, 424243, 424264, 424267, 424267, 424284, 424343, 424350, 424513, 424532, 424574, 424658, 424923, 442926, 442936, 442956, 443309 ]
3
[ 0, 6, 24, 31, 35, 65, 28, 8, 29, 28, 34, 57, 82, 30, 34, 34, 192, 268, 69, 49, 504, 486, 62, 134, 126, 2106, 86, 784, 104, 17, 512, 181, 913, 642, 31, 25, 20, 6, 43, 11, 9, 99, 11, 100, 93, 35, 160, 317, 6315, 36, 19, 11, 51, 96, 4506, 55364, 110, 154, 97, 15, 40, 119, 2, 43, 74, 1600, 141, 601, 35, 43, 131, 433, 4569, 6226, 482, 19428, 121, 8671, 81904, 56, 99, 272, 139, 65, 184, 223271, 21, 3, 0, 17, 59, 7, 163, 19, 42, 84, 265, 18003, 10, 20, 353 ]
101
4,982
[ 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1 ]
[ 0, 7, 37, 53, 55, 57, 72, 147, 176, 189, 219, 237, 259, 281, 311, 403, 415, 442, 558, 571, 597, 632, 663, 715, 809, 1109, 1195, 1648, 1684, 1868, 2033, 2133, 2183, 2202, 2227, 2232, 2305, 2308, 2631, 2685, 2830, 2903, 2936, 3122, 3530, 4007, 4136, 4162, 4223, 4387, 4605, 4799, 4898, 4954, 5049, 5198, 5798, 6033, 6142, 6167, 6228, 7093, 7235, 7329, 7619, 7710, 7723, 7805, 8666, 9034, 9116, 9287, 9430, 9972, 10004, 10369, 10427, 10687, 11197, 11291, 11454, 11457, 13233, 13239, 13539, 13637, 13943, 13965, 14211, 14582, 14618, 14681, 14747, 17108, 17574, 17677, 18158, 18696, 19606, 20007, 21728, 22550, 23006, 23924, 24423, 25536, 26110, 26612, 26899, 28148, 28148, 30056, 43713, 43838, 44716, 88867, 102682, 105496, 108199, 137029, 145597, 151219, 186490, 189167, 205694, 206717, 207653, 208278, 208586, 208631, 209426, 210467, 215109, 216791, 218536, 251911, 253312, 263333, 270080, 270302, 277771, 282412, 283440, 293175, 359691, 387680, 418263, 433737, 434042, 434132, 434170, 435059, 435836, 442635, 449352, 450051, 450233, 450247, 450518, 451466, 452679, 452938, 453655, 457181, 462202, 462632, 463570, 484891, 550341, 589359 ]
3
[ 0, 7, 30, 16, 2, 2, 15, 75, 29, 13, 30, 18, 22, 22, 30, 92, 12, 27, 116, 13, 26, 35, 31, 52, 94, 300, 86, 453, 36, 184, 165, 100, 50, 19, 25, 5, 73, 3, 323, 54, 145, 73, 33, 186, 408, 477, 129, 26, 61, 164, 218, 194, 99, 56, 95, 149, 600, 235, 109, 25, 61, 865, 142, 94, 290, 91, 13, 82, 861, 368, 82, 171, 143, 542, 32, 365, 58, 260, 510, 94, 163, 3, 1776, 6, 300, 98, 306, 22, 246, 371, 36, 63, 66, 2361, 466, 103, 481, 538, 910, 401, 1721, 822, 456, 918, 499, 1113, 574, 502, 287, 1249, 0, 1908, 13657, 125, 878, 44151, 13815, 2814, 2703, 28830, 8568, 5622, 35271, 2677, 16527, 1023, 936, 625, 308, 45, 795, 1041, 4642, 1682, 1745, 33375, 1401, 10021, 6747, 222, 7469, 4641, 1028, 9735, 66516, 27989, 30583, 15474, 305, 90, 38, 889, 777, 6799, 6717, 699, 182, 14, 271, 948, 1213, 259, 717, 3526, 5021, 430, 938, 21321, 65450, 39018 ]
170
4,983
[ 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0 ]
[ 0, 8, 11, 14, 15, 18, 27, 28, 30, 31, 31, 38, 39, 39, 42, 52, 57, 59, 61, 64, 90, 101, 107, 110, 117, 122, 122, 123, 123, 126, 140, 150, 156, 160, 163, 164, 196, 202, 207, 245, 255, 269, 271, 275, 397, 439, 450, 467, 523, 600, 632, 670, 687, 696, 712, 725, 729, 792, 804, 822, 828, 881, 892, 924, 931, 950, 1033, 1046, 1127, 1442, 1534, 1601, 1743, 1864, 2020, 2030, 2763, 3019, 3044, 4346, 4766, 5355, 5380, 6273, 6780, 8904, 14239, 14339, 14369, 14499, 15046, 18264, 18745, 18800, 20035, 20120, 20555, 20647, 22560, 23577, 24972, 25183, 25293, 25598, 29824, 30391, 31499, 32131, 32219, 39299, 43909, 44780, 48206, 52309, 52923, 55954, 59371, 76817, 82899, 84409, 111390, 111390, 129202, 138929, 143822, 145769, 163255, 165216, 165299, 166418, 170272, 199186, 233635, 250790, 259324, 268929, 300950, 307912, 309026, 319150 ]
3
[ 0, 8, 3, 3, 1, 3, 9, 1, 2, 1, 0, 7, 1, 0, 3, 10, 5, 2, 2, 3, 26, 11, 6, 3, 7, 5, 0, 1, 0, 3, 14, 10, 6, 4, 3, 1, 32, 6, 5, 38, 10, 14, 2, 4, 122, 42, 11, 17, 56, 77, 32, 38, 17, 9, 16, 13, 4, 63, 12, 18, 6, 53, 11, 32, 7, 19, 83, 13, 81, 315, 92, 67, 142, 121, 156, 10, 733, 256, 25, 1302, 420, 589, 25, 893, 507, 2124, 5335, 100, 30, 130, 547, 3218, 481, 55, 1235, 85, 435, 92, 1913, 1017, 1395, 211, 110, 305, 4226, 567, 1108, 632, 88, 7080, 4610, 871, 3426, 4103, 614, 3031, 3417, 17446, 6082, 1510, 26981, 0, 17812, 9727, 4893, 1947, 17486, 1961, 83, 1119, 3854, 28914, 34449, 17155, 8534, 9605, 32021, 6962, 1114, 10124 ]
140
4,984
[ 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1 ]
[ 0, 119, 149, 260, 261, 368, 369, 420, 494, 506, 546, 561, 607, 614, 736, 751, 753, 961, 1039, 1069, 1108, 1119, 1127, 1167, 1185, 1187, 1191, 1225, 1330, 1370, 1403, 1493, 1565, 1576, 1587, 1695, 1706, 1733, 2011, 2265, 2311, 2479, 2598, 2863, 3173, 3200, 3201, 3245, 3264, 3293, 3309, 3379, 3396, 3410, 3412, 3419, 3422, 3424, 3427, 3429, 3430, 3430, 3434, 3434, 3442, 3455, 3462, 3468, 3476, 3518, 3521, 3522, 3540, 3546, 3555, 3623, 3641, 3706, 3714, 3740, 3812, 3813, 3819, 3828, 3852, 3876, 3881, 3889, 3933, 3935, 3949, 4000, 4001, 4119, 4166, 4246, 4260, 4410, 4431, 4586, 4597, 4618, 4733, 4860, 4911, 4971, 4977, 5307, 5325, 5354, 5384, 5476, 5524, 5574, 5658, 5839, 6063, 6367, 6552, 6578, 6584, 6777, 6839, 6840, 7109, 7501, 7746, 7826, 7972, 8045, 8075, 8156, 8205, 8208, 8344, 8463, 8630, 9211, 9454, 9626, 9626, 10706, 10719, 10880, 11034, 11222, 11737, 12399, 12601, 12676, 13001, 13039, 13546, 13619, 14329, 15492, 15733, 15762, 16056, 16136, 16532, 18946, 20491, 21956, 23129, 23358, 23370, 24294, 25544, 26781, 30784, 35782, 36511, 36668, 36770, 39816, 39816, 40826, 40849, 40906, 40939, 41058, 42155, 42631, 42768, 42945, 43390, 43434, 43551, 44177, 44220, 45592, 46934, 47622, 48341, 50345, 50584, 57680, 57705, 59911, 68087, 68170, 78199, 79761, 80838, 81116, 84509, 86258, 113977, 170801, 329840 ]
3
[ 0, 119, 30, 111, 1, 107, 1, 51, 74, 12, 40, 15, 46, 7, 122, 15, 2, 208, 78, 30, 39, 11, 8, 40, 18, 2, 4, 34, 105, 40, 33, 90, 72, 11, 11, 108, 11, 27, 278, 254, 46, 168, 119, 265, 310, 27, 1, 44, 19, 29, 16, 70, 17, 14, 2, 7, 3, 2, 3, 2, 1, 0, 4, 0, 8, 13, 7, 6, 8, 42, 3, 1, 18, 6, 9, 68, 18, 65, 8, 26, 72, 1, 6, 9, 24, 24, 5, 8, 44, 2, 14, 51, 1, 118, 47, 80, 14, 150, 21, 155, 11, 21, 115, 127, 51, 60, 6, 330, 18, 29, 30, 92, 48, 50, 84, 181, 224, 304, 185, 26, 6, 193, 62, 1, 269, 392, 245, 80, 146, 73, 30, 81, 49, 3, 136, 119, 167, 581, 243, 172, 0, 1080, 13, 161, 154, 188, 515, 662, 202, 75, 325, 38, 507, 73, 710, 1163, 241, 29, 294, 80, 396, 2414, 1545, 1465, 1173, 229, 12, 924, 1250, 1237, 4003, 4998, 729, 157, 102, 3046, 0, 1010, 23, 57, 33, 119, 1097, 476, 137, 177, 445, 44, 117, 626, 43, 1372, 1342, 688, 719, 2004, 239, 7096, 25, 2206, 8176, 83, 10029, 1562, 1077, 278, 3393, 1749, 27719, 56824, 159039 ]
211
4,985
[ 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0 ]
[ 0, 3, 4, 10, 20, 26, 29, 35, 38, 42, 44, 60, 65, 66, 73, 74, 74, 81, 90, 90, 98, 106, 111, 117, 127, 130, 134, 151, 169, 171, 172, 183, 196, 201, 256, 262, 266, 270, 275, 278, 281, 315, 334, 336, 377, 390, 404, 467, 498, 541, 596, 610, 631, 646, 687, 725, 853, 878, 887, 1247, 1386, 1452, 1522, 1522, 1601, 2024, 2144, 2185, 2655, 2694, 2761, 2854, 2957, 3062, 3501, 3596, 3635, 3695, 3837, 4416, 4702, 5243, 5265, 5846, 6092, 6275, 6403, 8610, 8779, 9412, 9595, 9856, 9949, 10979, 11693, 11791, 12345, 12987, 13238, 14616, 16393, 16502, 16701, 17834, 33503, 35162, 42602, 45049, 46040, 47647, 52071, 62690, 64241, 71890, 88847, 93419, 97396, 102495, 148090 ]
3
[ 0, 3, 1, 6, 10, 6, 3, 6, 3, 4, 2, 16, 5, 1, 7, 1, 0, 7, 9, 0, 8, 8, 5, 6, 10, 3, 4, 17, 18, 2, 1, 11, 13, 5, 55, 6, 4, 4, 5, 3, 3, 34, 19, 2, 41, 13, 14, 63, 31, 43, 55, 14, 21, 15, 41, 38, 128, 25, 9, 360, 139, 66, 70, 0, 79, 423, 120, 41, 470, 39, 67, 93, 103, 105, 439, 95, 39, 60, 142, 579, 286, 541, 22, 581, 246, 183, 128, 2207, 169, 633, 183, 261, 93, 1030, 714, 98, 554, 642, 251, 1378, 1777, 109, 199, 1133, 15669, 1659, 7440, 2447, 991, 1607, 4424, 10619, 1551, 7649, 16957, 4572, 3977, 5099, 45595 ]
119
4,986
[ 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1 ]
[ 0, 2, 14, 29, 42, 47, 48, 86, 96, 124, 129, 135, 152, 189, 227, 244, 347, 360, 386, 514, 530, 615, 867, 1043, 1214, 1234, 1243, 1250, 1322, 1337, 1367, 1416, 1475, 1551, 1602, 1731, 1735, 1905, 1947, 1982, 2437, 2447, 2974, 4953, 5729, 15121, 15134, 15154, 15159, 15173, 15190, 15192, 16311, 20897, 24016, 107299, 186428, 186527 ]
3
[ 0, 2, 12, 15, 13, 5, 1, 38, 10, 28, 5, 6, 17, 37, 38, 17, 103, 13, 26, 128, 16, 85, 252, 176, 171, 20, 9, 7, 72, 15, 30, 49, 59, 76, 51, 129, 4, 170, 42, 35, 455, 10, 527, 1979, 776, 9392, 13, 20, 5, 14, 17, 2, 1119, 4586, 3119, 83283, 79129, 99 ]
58
4,987
[ 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1 ]
[ 0, 3, 10, 24, 38, 56, 74, 101, 102, 103, 129, 147, 198, 199, 222, 238, 262, 264, 295, 325, 339, 390, 401, 404, 406, 424, 430, 440, 459, 495, 501, 513, 521, 527, 530, 551, 562, 564, 573, 576, 582, 600, 610, 611, 614, 628, 630, 645, 679, 709, 710, 713, 741, 748, 769, 814, 878, 883, 893, 978, 995, 999, 1040, 1060, 1084, 1089, 1143, 1185, 1191, 1201, 1225, 1268, 1275, 1283, 1326, 1333, 1363, 1390, 1391, 1403, 1430, 1432, 1444, 1450, 1459, 1460, 1493, 1507, 1519, 1537, 1591, 1609, 1726, 1763, 1772, 1831, 2137, 2793, 3012, 3374, 3576, 6198, 6325, 6388, 7017, 7081, 9789, 17330, 17573, 21133, 21279, 21666, 21823, 21878, 21929, 22172, 22284, 22300, 22367, 22373, 24065, 27970, 28095, 28237, 28282, 28614, 28899, 31731, 31891, 33900, 35569, 35606, 35613, 35621, 35623, 35624, 35631, 35664, 35699, 35721, 35760, 35945, 36151, 36164, 36169, 36241, 36279, 36308, 36313, 36362, 36373, 36424, 36458, 36468, 36501, 36524, 36526, 36589, 36618, 36635, 36656, 36683, 36716, 36730, 36774, 36804, 36806, 36841, 36843, 36898, 37058, 37081, 37084, 37105, 37140, 37158, 37318, 37568, 37661, 37691, 37756, 37778, 37787, 38269, 41178, 113673 ]
3
[ 0, 3, 7, 14, 14, 18, 18, 27, 1, 1, 26, 18, 51, 1, 23, 16, 24, 2, 31, 30, 14, 51, 11, 3, 2, 18, 6, 10, 19, 36, 6, 12, 8, 6, 3, 21, 11, 2, 9, 3, 6, 18, 10, 1, 3, 14, 2, 15, 34, 30, 1, 3, 28, 7, 21, 45, 64, 5, 10, 85, 17, 4, 41, 20, 24, 5, 54, 42, 6, 10, 24, 43, 7, 8, 43, 7, 30, 27, 1, 12, 27, 2, 12, 6, 9, 1, 33, 14, 12, 18, 54, 18, 117, 37, 9, 59, 306, 656, 219, 362, 202, 2622, 127, 63, 629, 64, 2708, 7541, 243, 3560, 146, 387, 157, 55, 51, 243, 112, 16, 67, 6, 1692, 3905, 125, 142, 45, 332, 285, 2832, 160, 2009, 1669, 37, 7, 8, 2, 1, 7, 33, 35, 22, 39, 185, 206, 13, 5, 72, 38, 29, 5, 49, 11, 51, 34, 10, 33, 23, 2, 63, 29, 17, 21, 27, 33, 14, 44, 30, 2, 35, 2, 55, 160, 23, 3, 21, 35, 18, 160, 250, 93, 30, 65, 22, 9, 482, 2909, 72495 ]
186
4,988
[ 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1 ]
[ 0, 2, 2, 7, 15, 19, 24, 34, 35, 39, 57, 71, 73, 77, 97, 151, 157, 158, 196, 200, 214, 222, 231, 239, 243, 260, 274, 289, 290, 338, 338, 472, 497, 596, 630, 633, 735, 812, 943, 954, 957, 1022, 1086, 1088, 1127, 1138, 1195, 1305, 1339, 1347, 1355, 1360, 1542, 1587, 1705, 1721, 1791, 2011, 2206, 2270, 2557, 2675, 2866, 3029, 3111, 3270, 3278, 3370, 3418, 3640, 3791, 3943, 3983, 4270, 4413, 4737, 4763, 4860, 4880, 4926, 5244, 5279, 5519, 5587, 5718, 5728, 6351, 6352, 6594, 6812, 7278, 7650, 7668, 7714, 7725, 7732, 7802, 7832, 7935, 7951, 7996, 8032, 8063, 8077, 8200, 8269, 8378, 8494, 8575, 8649, 8652, 8766, 8790, 8891, 9524, 9537, 10019, 10302, 10508, 10717, 10746, 10847, 11001, 11110, 11124, 11129, 11170, 11312, 11351, 11797, 11991, 12186, 12502, 12782, 13354, 13522, 13762, 13947, 14064, 14834, 14932, 15189, 15319, 15706, 16009, 16273, 16691, 17133, 18092, 19286, 19395, 20135, 20542, 22738, 24231, 24264, 25469, 25526, 27653, 28636, 50750, 52058, 55099, 55169, 55249, 55361, 55369, 55671, 56112, 56173, 56478, 56791, 57549, 58438, 59146, 60116, 61587, 61901, 62009, 62875, 63366, 63638, 63687, 63758, 63920, 64079, 64451, 64773, 64869, 65216, 65237 ]
3
[ 0, 2, 0, 5, 8, 4, 5, 10, 1, 4, 18, 14, 2, 4, 20, 54, 6, 1, 38, 4, 14, 8, 9, 8, 4, 17, 14, 15, 1, 48, 0, 134, 25, 99, 34, 3, 102, 77, 131, 11, 3, 65, 64, 2, 39, 11, 57, 110, 34, 8, 8, 5, 182, 45, 118, 16, 70, 220, 195, 64, 287, 118, 191, 163, 82, 159, 8, 92, 48, 222, 151, 152, 40, 287, 143, 324, 26, 97, 20, 46, 318, 35, 240, 68, 131, 10, 623, 1, 242, 218, 466, 372, 18, 46, 11, 7, 70, 30, 103, 16, 45, 36, 31, 14, 123, 69, 109, 116, 81, 74, 3, 114, 24, 101, 633, 13, 482, 283, 206, 209, 29, 101, 154, 109, 14, 5, 41, 142, 39, 446, 194, 195, 316, 280, 572, 168, 240, 185, 117, 770, 98, 257, 130, 387, 303, 264, 418, 442, 959, 1194, 109, 740, 407, 2196, 1493, 33, 1205, 57, 2127, 983, 22114, 1308, 3041, 70, 80, 112, 8, 302, 441, 61, 305, 313, 758, 889, 708, 970, 1471, 314, 108, 866, 491, 272, 49, 71, 162, 159, 372, 322, 96, 347, 21 ]
191
4,989
[ 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1 ]
[ 0, 19, 26, 31, 34, 47, 59, 61, 71, 74, 74, 79, 79, 79, 82, 87, 97, 98, 103, 105, 107, 118, 131, 133, 137, 142, 148, 153, 172, 189, 205, 245, 254, 262, 264, 265, 286, 318, 341, 357, 369, 369, 385, 390, 415, 496, 515, 524, 525, 541, 577, 594, 614, 614, 643, 677, 733, 744, 802, 869, 888, 923, 978, 1039, 1055, 1225, 1232, 1317, 1335, 1401, 1411, 1707, 1843, 1947, 2125, 2646, 2696, 2757, 2952, 3822, 3877, 4089, 4617, 4902, 5054, 5090, 5121, 5251, 5268, 5274, 5435, 5465, 5488, 5581, 5597, 6112, 6264, 6279, 6515, 6535, 7753, 9110, 10625, 11862, 12326, 16314, 16649, 16843, 17198, 17417, 18298, 19943, 23962, 33123, 43255, 46032, 47034, 60816, 64273, 70450, 74259, 86793, 87913, 88455, 88916, 92064, 92367, 93124, 105788, 138630, 139276, 146017, 146809, 149604, 154737, 154892, 155925, 178510 ]
3
[ 0, 19, 7, 5, 3, 13, 12, 2, 10, 3, 0, 5, 0, 0, 3, 5, 10, 1, 5, 2, 2, 11, 13, 2, 4, 5, 6, 5, 19, 17, 16, 40, 9, 8, 2, 1, 21, 32, 23, 16, 12, 0, 16, 5, 25, 81, 19, 9, 1, 16, 36, 17, 20, 0, 29, 34, 56, 11, 58, 67, 19, 35, 55, 61, 16, 170, 7, 85, 18, 66, 10, 296, 136, 104, 178, 521, 50, 61, 195, 870, 55, 212, 528, 285, 152, 36, 31, 130, 17, 6, 161, 30, 23, 93, 16, 515, 152, 15, 236, 20, 1218, 1357, 1515, 1237, 464, 3988, 335, 194, 355, 219, 881, 1645, 4019, 9161, 10132, 2777, 1002, 13782, 3457, 6177, 3809, 12534, 1120, 542, 461, 3148, 303, 757, 12664, 32842, 646, 6741, 792, 2795, 5133, 155, 1033, 22585 ]
138
4,990
[ 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1 ]
[ 0, 3, 15, 21, 25, 27, 29, 30, 37, 38, 44, 46, 49, 54, 56, 59, 62, 62, 65, 76, 82, 97, 101, 101, 114, 115, 162, 175, 186, 284, 347, 373, 465, 470, 474, 861, 886, 1585, 2252, 2626, 3940, 7933, 7945, 7955, 7969, 9083, 18425, 20870, 20986, 21006, 21073, 22455, 22579, 23709, 23762, 23798, 23860, 23921, 23929, 24476, 30188, 42909, 42942 ]
3
[ 0, 3, 12, 6, 4, 2, 2, 1, 7, 1, 6, 2, 3, 5, 2, 3, 3, 0, 3, 11, 6, 15, 4, 0, 13, 1, 47, 13, 11, 98, 63, 26, 92, 5, 4, 387, 25, 699, 667, 374, 1314, 3993, 12, 10, 14, 1114, 9342, 2445, 116, 20, 67, 1382, 124, 1130, 53, 36, 62, 61, 8, 547, 5712, 12721, 33 ]
63
4,991
[ 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2 ]
[ 0, 10, 22, 23, 27, 28, 37, 77, 80, 81, 88, 185, 246, 323, 375, 473, 485, 519, 550, 654, 943, 1035, 1059, 1370, 1517, 1612, 1977, 2382, 2403, 2561, 2580, 3039, 3068, 3081, 3718, 6197, 6793, 7823, 11317, 12876, 17884, 19730, 21046, 21132, 36515, 36814, 39451, 42734, 43090, 59049, 61662, 65319, 70593, 74056, 74754, 77412, 96121, 112134, 248860, 249063 ]
3
[ 0, 10, 12, 1, 4, 1, 9, 40, 3, 1, 7, 97, 61, 77, 52, 98, 12, 34, 31, 104, 289, 92, 24, 311, 147, 95, 365, 405, 21, 158, 19, 459, 29, 13, 637, 2479, 596, 1030, 3494, 1559, 5008, 1846, 1316, 86, 15383, 299, 2637, 3283, 356, 15959, 2613, 3657, 5274, 3463, 698, 2658, 18709, 16013, 136726, 203 ]
60
4,992
[ 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1 ]
[ 0, 5, 33, 74, 115, 217, 18764, 33527, 45942, 51423, 51470, 51480, 51488, 51530, 51654, 51718, 51818, 52019, 52083, 52704, 52763, 52792, 52792, 52804, 52842, 52880, 53136, 53235, 54665, 54701, 54872, 54908, 55013, 55591, 55619, 55985, 56490, 56506, 56586, 56591, 56598, 56603, 56609, 56626, 56652, 56680, 56680, 56682, 56697, 56709, 56746, 56801, 56812, 56845, 56869, 56890, 56917, 57059, 57073, 57087, 57141, 57208, 57325, 57354, 57425, 57487, 57488, 57576, 57633, 57743, 57756, 57768, 57933, 57937, 57961, 58010, 58111, 58205, 58273, 58537, 58638, 58639, 58831, 59004, 59084, 59832, 59896, 59961, 59978, 60087, 60106, 60126, 60179, 60193, 60214, 60291, 60574, 60962, 61161, 61178, 63475, 67507, 67527, 67530, 67567, 67592, 67599, 67655, 67680, 67951, 67959, 67969, 68053, 68791, 69420, 76290, 76325, 76329, 76483, 76499, 76770, 76941, 77013, 78299, 78837, 78860, 78872, 78880, 78914, 78930, 78992, 79017, 79075, 79157, 79280, 79347, 79762, 79997, 80308, 81384, 81422, 81427, 81431, 81433, 81439, 81499, 82120, 83566, 84157, 84538, 119467, 119494, 119569, 119670, 119671, 121324, 143142, 144048, 221229, 266527, 416255 ]
3
[ 0, 5, 28, 41, 41, 102, 18547, 14763, 12415, 5481, 47, 10, 8, 42, 124, 64, 100, 201, 64, 621, 59, 29, 0, 12, 38, 38, 256, 99, 1430, 36, 171, 36, 105, 578, 28, 366, 505, 16, 80, 5, 7, 5, 6, 17, 26, 28, 0, 2, 15, 12, 37, 55, 11, 33, 24, 21, 27, 142, 14, 14, 54, 67, 117, 29, 71, 62, 1, 88, 57, 110, 13, 12, 165, 4, 24, 49, 101, 94, 68, 264, 101, 1, 192, 173, 80, 748, 64, 65, 17, 109, 19, 20, 53, 14, 21, 77, 283, 388, 199, 17, 2297, 4032, 20, 3, 37, 25, 7, 56, 25, 271, 8, 10, 84, 738, 629, 6870, 35, 4, 154, 16, 271, 171, 72, 1286, 538, 23, 12, 8, 34, 16, 62, 25, 58, 82, 123, 67, 415, 235, 311, 1076, 38, 5, 4, 2, 6, 60, 621, 1446, 591, 381, 34929, 27, 75, 101, 1, 1653, 21818, 906, 77181, 45298, 149728 ]
161
4,993
[ 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1 ]
[ 0, 8, 14, 26, 28, 38, 51, 52, 77, 90, 95, 97, 114, 120, 128, 135, 146, 147, 189, 225, 238, 352, 357, 394, 397, 403, 514, 536, 611, 654, 695, 700, 777, 860, 873, 966, 1005, 1095, 1149, 1151, 1323, 1336, 1338, 1339, 2001, 2220, 2263, 2344, 2365, 3578, 3674, 4211, 4266, 4278, 4801, 4809, 5139, 6274, 7280, 45653, 471114 ]
3
[ 0, 8, 6, 12, 2, 10, 13, 1, 25, 13, 5, 2, 17, 6, 8, 7, 11, 1, 42, 36, 13, 114, 5, 37, 3, 6, 111, 22, 75, 43, 41, 5, 77, 83, 13, 93, 39, 90, 54, 2, 172, 13, 2, 1, 662, 219, 43, 81, 21, 1213, 96, 537, 55, 12, 523, 8, 330, 1135, 1006, 38373, 425461 ]
61
4,994
[ 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1 ]
[ 0, 33, 84, 103, 173, 209, 442, 660, 744, 1024, 1037, 1066, 1140, 1144, 1184, 1209, 1218, 1220, 1228, 1240, 1295, 1321, 1329, 1338, 1357, 1425, 1534, 1590, 1628, 1660, 1708, 1730, 1739, 1808, 1815, 1823, 1829, 1875, 1929, 1948, 1950, 1972, 2000, 2099, 2251, 2374, 2512, 2512, 3462, 4040, 4291, 5004, 5954 ]
3
[ 0, 33, 51, 19, 70, 36, 233, 218, 84, 280, 13, 29, 74, 4, 40, 25, 9, 2, 8, 12, 55, 26, 8, 9, 19, 68, 109, 56, 38, 32, 48, 22, 9, 69, 7, 8, 6, 46, 54, 19, 2, 22, 28, 99, 152, 123, 138, 0, 950, 578, 251, 713, 950 ]
53
4,995
[ 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 2, 10, 12, 12, 26, 33, 37, 38, 38, 39, 40, 44, 49, 54, 54, 59, 63, 76, 79, 79, 86, 92, 96, 97, 109, 111, 112, 116, 128, 131, 134, 140, 148, 155, 164, 164, 167, 181, 182, 188, 194, 198, 210, 233, 248, 255, 265, 273, 276, 279, 299, 312, 321, 337, 349, 360, 361, 373, 379, 382, 393, 399, 494, 500, 522, 527, 546, 569, 581, 588, 601, 665, 674, 695, 703, 705, 720, 730, 743, 749, 781, 783, 784, 888, 906, 913, 924, 937, 948, 949, 987, 988, 1018, 1020, 1055, 1098, 1125, 1143, 1159, 1167, 1169, 1171, 1181, 1200, 1238, 1239, 1242, 1252, 1257, 1265, 1301, 1347, 1379, 1422, 1432, 1444, 1517, 1557, 1575, 1581, 1603, 1613, 1670, 1700, 1713, 1718, 1774, 1774, 1857, 1898, 1917, 1948, 2016, 2047, 2225, 2236, 2313, 2524, 2530, 2629, 2756, 2909, 3011, 3055, 3101, 3172, 3202, 3215, 3231, 3274, 3392, 3646, 3684, 4079, 4089, 4228, 4483, 4498, 4740, 4809, 4988, 5199, 5286, 5297, 5322, 5354, 5445, 5483, 5623, 6215, 6383, 6411, 6481, 6784, 6891, 7116, 7341, 8034, 8059, 8136, 8145, 8753, 8919, 9845, 9927, 10272, 10599, 10883, 14032, 14183, 14416, 15009, 20105, 22189, 33369, 35259, 43244, 45314, 80202, 83954, 100374, 100543, 175908, 175963, 177930, 199689, 265308 ]
3
[ 0, 2, 8, 2, 0, 14, 7, 4, 1, 0, 1, 1, 4, 5, 5, 0, 5, 4, 13, 3, 0, 7, 6, 4, 1, 12, 2, 1, 4, 12, 3, 3, 6, 8, 7, 9, 0, 3, 14, 1, 6, 6, 4, 12, 23, 15, 7, 10, 8, 3, 3, 20, 13, 9, 16, 12, 11, 1, 12, 6, 3, 11, 6, 95, 6, 22, 5, 19, 23, 12, 7, 13, 64, 9, 21, 8, 2, 15, 10, 13, 6, 32, 2, 1, 104, 18, 7, 11, 13, 11, 1, 38, 1, 30, 2, 35, 43, 27, 18, 16, 8, 2, 2, 10, 19, 38, 1, 3, 10, 5, 8, 36, 46, 32, 43, 10, 12, 73, 40, 18, 6, 22, 10, 57, 30, 13, 5, 56, 0, 83, 41, 19, 31, 68, 31, 178, 11, 77, 211, 6, 99, 127, 153, 102, 44, 46, 71, 30, 13, 16, 43, 118, 254, 38, 395, 10, 139, 255, 15, 242, 69, 179, 211, 87, 11, 25, 32, 91, 38, 140, 592, 168, 28, 70, 303, 107, 225, 225, 693, 25, 77, 9, 608, 166, 926, 82, 345, 327, 284, 3149, 151, 233, 593, 5096, 2084, 11180, 1890, 7985, 2070, 34888, 3752, 16420, 169, 75365, 55, 1967, 21759, 65619 ]
208
4,996
[ 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 0, 6, 29, 51, 56, 106, 122, 126, 128, 142, 160, 213, 217, 470, 576, 601, 609, 954, 1267, 1677, 1724, 2363, 3616, 3647, 4038, 5249, 6030, 6326, 10525, 10990, 11357, 11745, 11994, 12073, 12286, 12820, 13498, 13530, 14134, 14558, 14871, 15033, 15647, 17706, 17823, 17870, 18531, 20382, 21570, 22660, 22683, 23889, 24504, 25424, 25895, 26222, 26287, 26608, 26789, 29041, 29585, 43761, 65625, 65802, 71589, 262405 ]
3
[ 0, 6, 23, 22, 5, 50, 16, 4, 2, 14, 18, 53, 4, 253, 106, 25, 8, 345, 313, 410, 47, 639, 1253, 31, 391, 1211, 781, 296, 4199, 465, 367, 388, 249, 79, 213, 534, 678, 32, 604, 424, 313, 162, 614, 2059, 117, 47, 661, 1851, 1188, 1090, 23, 1206, 615, 920, 471, 327, 65, 321, 181, 2252, 544, 14176, 21864, 177, 5787, 190816 ]
66
4,997
[ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0 ]
[ 0, 0, 6, 9, 16, 17, 37, 39, 70, 71, 75, 76, 78, 92, 99, 106, 110, 114, 135, 146, 164, 209, 234, 238, 253, 278, 353, 361, 414, 488, 575, 665, 678, 730, 855, 856, 932, 935, 947, 976, 1110, 1265, 1350, 1393, 1508, 1661, 1738, 1832, 2078, 2214, 2315, 2349, 2487, 2554, 2607, 2832, 3102, 3110, 3487, 3546, 4072, 4399, 4593, 5103, 5552, 5774, 6109, 6351, 6798, 6869, 8424, 8974, 9066, 9681, 11209, 11370, 12502, 12752, 13586, 13622, 13902, 14801, 14802, 14802, 15192, 16901, 17419, 17477, 18082, 18237, 18281, 18336, 18354, 18362, 20269, 20354, 20443, 20770, 21458, 21495, 22720, 23117, 23211, 23469, 23826, 23886, 24700, 25714, 26076, 26650, 27406, 27682, 28161, 28703, 29522, 31653, 32190, 37349, 37412, 37683, 38691, 41981, 54385, 55401, 59428, 70684, 70730, 71017, 73154, 75216, 102070, 133253, 134595, 137588, 141722, 141773, 141812, 142000, 142024, 142123, 142237, 143159, 147431, 148925, 158029, 164046, 175030, 176572, 221821, 226826, 231545, 231704, 235355, 236271, 255214, 272926, 299619, 317196, 319658, 357993, 405022, 408077, 514665 ]
3
[ 0, 0, 6, 3, 7, 1, 20, 2, 31, 1, 4, 1, 2, 14, 7, 7, 4, 4, 21, 11, 18, 45, 25, 4, 15, 25, 75, 8, 53, 74, 87, 90, 13, 52, 125, 1, 76, 3, 12, 29, 134, 155, 85, 43, 115, 153, 77, 94, 246, 136, 101, 34, 138, 67, 53, 225, 270, 8, 377, 59, 526, 327, 194, 510, 449, 222, 335, 242, 447, 71, 1555, 550, 92, 615, 1528, 161, 1132, 250, 834, 36, 280, 899, 1, 0, 390, 1709, 518, 58, 605, 155, 44, 55, 18, 8, 1907, 85, 89, 327, 688, 37, 1225, 397, 94, 258, 357, 60, 814, 1014, 362, 574, 756, 276, 479, 542, 819, 2131, 537, 5159, 63, 271, 1008, 3290, 12404, 1016, 4027, 11256, 46, 287, 2137, 2062, 26854, 31183, 1342, 2993, 4134, 51, 39, 188, 24, 99, 114, 922, 4272, 1494, 9104, 6017, 10984, 1542, 45249, 5005, 4719, 159, 3651, 916, 18943, 17712, 26693, 17577, 2462, 38335, 47029, 3055, 106588 ]
163
4,998
[ 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0 ]
[ 0, 0, 5, 8, 8, 13, 80, 81, 82, 83, 83, 83, 91, 91, 92, 93, 95, 101, 102, 104, 104, 109, 111, 111, 113, 116, 117, 118, 120, 128, 129, 130, 131, 141, 142, 148, 153, 156, 176, 178, 181, 184, 193, 197, 203, 205, 208, 223, 233, 240, 245, 260, 261, 281, 287, 291, 293, 298, 299, 315, 316, 319, 333, 335, 336, 348, 354, 389, 394, 396, 401, 403, 407, 411, 436, 436, 436, 436, 451, 454, 456, 457, 481, 489, 491, 577, 582, 602, 606, 637, 639, 651, 659, 708, 769, 772, 788, 789, 800, 803, 807, 839, 844, 1049, 1063, 1148, 1160, 1368, 1658, 1665, 1737, 1931, 1985, 2131, 2514, 2598, 2608, 2887, 3386, 3425, 3541, 4149, 5662, 6861, 9121, 10261, 10866, 11714, 14707, 28071, 34225, 34668, 36298 ]
3
[ 0, 0, 5, 3, 0, 5, 67, 1, 1, 1, 0, 0, 8, 0, 1, 1, 2, 6, 1, 2, 0, 5, 2, 0, 2, 3, 1, 1, 2, 8, 1, 1, 1, 10, 1, 6, 5, 3, 20, 2, 3, 3, 9, 4, 6, 2, 3, 15, 10, 7, 5, 15, 1, 20, 6, 4, 2, 5, 1, 16, 1, 3, 14, 2, 1, 12, 6, 35, 5, 2, 5, 2, 4, 4, 25, 0, 0, 0, 15, 3, 2, 1, 24, 8, 2, 86, 5, 20, 4, 31, 2, 12, 8, 49, 61, 3, 16, 1, 11, 3, 4, 32, 5, 205, 14, 85, 12, 208, 290, 7, 72, 194, 54, 146, 383, 84, 10, 279, 499, 39, 116, 608, 1513, 1199, 2260, 1140, 605, 848, 2993, 13364, 6154, 443, 1630 ]
133
4,999
[ 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0 ]