Datasets:
easytpp
/
retweet

Dataset card Data Studio Files Community
Search is not available for this dataset
time_since_start
sequencelengths
50
264
dim_process
int64
3
3
time_since_last_event
sequencelengths
50
264
seq_len
int64
50
264
seq_idx
int64
0
20k
type_event
sequencelengths
50
264
[ 0, 1, 7, 7, 15, 29, 30, 32, 33, 35, 36, 49, 49, 96, 100, 123, 137, 144, 163, 214, 246, 292, 305, 818, 838, 1157, 1231, 1511, 2063, 3063, 4929, 4958, 5111, 5201, 5222, 6248, 6778, 6795, 6826, 6869, 6940, 6971, 9070, 18416, 41620, 42921, 42937, 42947, 42953, 42966, 42969, 42973, 42975, 42978, 42994, 43001, 43004, 43010, 43025, 43026, 43028, 43029, 43034, 43035, 43064, 43077, 43132, 43134, 43158, 43230, 43670, 43692, 43703, 43716, 43717, 43719, 43734, 43751, 43759, 43778, 43789, 43791, 43811, 43896, 43932, 43941, 44018, 44095, 44641, 44724, 45413, 45432, 45444, 45447, 45451, 45454, 45456, 45459, 45464, 45466, 45466, 45467, 45469, 45475, 45476, 45483, 45493, 45494, 45500, 45505, 45513, 45520, 45533, 45609, 45633, 45710, 46193, 46231, 46281, 47521, 49874, 51068, 51123, 54462, 56755, 56812, 58803, 67140, 68599, 69310, 71063, 72541, 74118, 79984, 80998, 81129, 82664, 85032, 86041, 87773, 87996, 88089, 88832, 90464, 90510, 91321, 139252, 141845, 144324, 144444, 144616, 147381, 149816, 150996, 158807, 158853, 158947, 158957, 177394, 177910, 178071, 216126, 216529, 222608, 225085, 227978, 269017, 273212, 318706, 348191, 395512, 402462, 412513, 423016, 431481, 433909, 434549, 475476, 491903, 493858, 572529, 574127, 574145, 582471, 586543 ]
3
[ 0, 1, 6, 0, 8, 14, 1, 2, 1, 2, 1, 13, 0, 47, 4, 23, 14, 7, 19, 51, 32, 46, 13, 513, 20, 319, 74, 280, 552, 1000, 1866, 29, 153, 90, 21, 1026, 530, 17, 31, 43, 71, 31, 2099, 9346, 23204, 1301, 16, 10, 6, 13, 3, 4, 2, 3, 16, 7, 3, 6, 15, 1, 2, 1, 5, 1, 29, 13, 55, 2, 24, 72, 440, 22, 11, 13, 1, 2, 15, 17, 8, 19, 11, 2, 20, 85, 36, 9, 77, 77, 546, 83, 689, 19, 12, 3, 4, 3, 2, 3, 5, 2, 0, 1, 2, 6, 1, 7, 10, 1, 6, 5, 8, 7, 13, 76, 24, 77, 483, 38, 50, 1240, 2353, 1194, 55, 3339, 2293, 57, 1991, 8337, 1459, 711, 1753, 1478, 1577, 5866, 1014, 131, 1535, 2368, 1009, 1732, 223, 93, 743, 1632, 46, 811, 47931, 2593, 2479, 120, 172, 2765, 2435, 1180, 7811, 46, 94, 10, 18437, 516, 161, 38055, 403, 6079, 2477, 2893, 41039, 4195, 45494, 29485, 47321, 6950, 10051, 10503, 8465, 2428, 640, 40927, 16427, 1955, 78671, 1598, 18, 8326, 4072 ]
185
8,300
[ 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25, 26, 64, 67, 75, 76, 89, 89, 98, 98, 114, 125, 129, 134, 136, 137, 146, 150, 158, 166, 207, 254, 351, 371, 381, 475, 505, 611, 632, 791, 801, 887, 986, 2176, 2795, 2838, 3003, 3423, 3450, 3914, 4299, 4344, 4875, 6501, 7300, 8159, 8655, 8664, 9310, 9586, 14555, 19169, 22420, 22421, 22955, 25336, 26941, 27140, 29551, 30361, 38335, 39581, 39663, 41244, 43785, 52702, 59488, 62508, 67771, 69521, 69521, 74796, 83416, 87548, 90752, 109057, 290099 ]
3
[ 0, 25, 1, 38, 3, 8, 1, 13, 0, 9, 0, 16, 11, 4, 5, 2, 1, 9, 4, 8, 8, 41, 47, 97, 20, 10, 94, 30, 106, 21, 159, 10, 86, 99, 1190, 619, 43, 165, 420, 27, 464, 385, 45, 531, 1626, 799, 859, 496, 9, 646, 276, 4969, 4614, 3251, 1, 534, 2381, 1605, 199, 2411, 810, 7974, 1246, 82, 1581, 2541, 8917, 6786, 3020, 5263, 1750, 0, 5275, 8620, 4132, 3204, 18305, 181042 ]
78
8,301
[ 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1 ]
[ 0, 4, 5, 6, 8, 10, 16, 17, 19, 21, 22, 23, 30, 32, 37, 45, 46, 46, 106, 110, 112, 113, 115, 118, 128, 134, 135, 137, 143, 165, 184, 185, 191, 194, 210, 212, 232, 233, 260, 264, 273, 285, 301, 305, 314, 343, 357, 403, 408, 414, 432, 435, 468, 537, 544, 549, 617, 638, 640, 653, 729, 900, 1001, 1197, 1210, 1333, 1415, 1667, 1877, 2289, 2618, 3451, 3512, 3997, 4080, 4814, 8926, 11185, 12909, 24330, 25534, 28752, 29217, 38001, 45906 ]
3
[ 0, 4, 1, 1, 2, 2, 6, 1, 2, 2, 1, 1, 7, 2, 5, 8, 1, 0, 60, 4, 2, 1, 2, 3, 10, 6, 1, 2, 6, 22, 19, 1, 6, 3, 16, 2, 20, 1, 27, 4, 9, 12, 16, 4, 9, 29, 14, 46, 5, 6, 18, 3, 33, 69, 7, 5, 68, 21, 2, 13, 76, 171, 101, 196, 13, 123, 82, 252, 210, 412, 329, 833, 61, 485, 83, 734, 4112, 2259, 1724, 11421, 1204, 3218, 465, 8784, 7905 ]
85
8,302
[ 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1 ]
[ 0, 69, 145, 176, 180, 388, 514, 682, 739, 780, 829, 905, 1232, 1308, 1442, 1826, 1953, 2182, 2186, 2479, 2761, 3139, 3560, 4073, 4135, 4543, 4684, 4837, 4905, 4933, 5113, 5209, 5265, 5280, 5301, 5318, 5319, 5333, 5341, 5343, 5346, 5348, 5358, 5368, 5377, 5394, 5396, 5398, 5407, 5417, 5418, 5429, 5455, 5476, 5481, 5482, 5509, 5515, 5528, 5546, 5549, 5557, 5569, 5571, 5572, 5574, 5583, 5587, 5610, 5611, 5612, 5628, 5642, 5645, 5667, 5673, 5674, 5690, 5734, 5748, 5799, 5824, 5899, 5906, 5919, 6083, 6105, 6115, 6124, 6125, 6144, 6157, 6177, 6276, 6292, 6331, 6396, 6436, 6539, 6581, 6631, 6701, 6810, 7091, 7145, 7175, 7195, 7254, 7304, 7344, 7412, 7478, 7491, 7553, 7635, 7643, 7797, 7901, 7909, 7915, 7932, 8044, 8095, 8290, 8998, 9137, 9272, 9299, 9300, 9316, 9369, 9564, 9641, 10059, 10105, 10276, 10530, 10648, 10749, 10865, 10867, 10912, 11380, 11685, 12115, 12670, 13289, 14510, 15136, 15861, 15999, 16563, 17657, 18238, 20618, 21778, 21899, 24032, 25049, 25669, 27940, 29491, 29535, 31560, 31981, 32056, 36764, 41973, 45717, 52688, 79963, 100035, 109509, 170772, 308217 ]
3
[ 0, 69, 76, 31, 4, 208, 126, 168, 57, 41, 49, 76, 327, 76, 134, 384, 127, 229, 4, 293, 282, 378, 421, 513, 62, 408, 141, 153, 68, 28, 180, 96, 56, 15, 21, 17, 1, 14, 8, 2, 3, 2, 10, 10, 9, 17, 2, 2, 9, 10, 1, 11, 26, 21, 5, 1, 27, 6, 13, 18, 3, 8, 12, 2, 1, 2, 9, 4, 23, 1, 1, 16, 14, 3, 22, 6, 1, 16, 44, 14, 51, 25, 75, 7, 13, 164, 22, 10, 9, 1, 19, 13, 20, 99, 16, 39, 65, 40, 103, 42, 50, 70, 109, 281, 54, 30, 20, 59, 50, 40, 68, 66, 13, 62, 82, 8, 154, 104, 8, 6, 17, 112, 51, 195, 708, 139, 135, 27, 1, 16, 53, 195, 77, 418, 46, 171, 254, 118, 101, 116, 2, 45, 468, 305, 430, 555, 619, 1221, 626, 725, 138, 564, 1094, 581, 2380, 1160, 121, 2133, 1017, 620, 2271, 1551, 44, 2025, 421, 75, 4708, 5209, 3744, 6971, 27275, 20072, 9474, 61263, 137445 ]
175
8,303
[ 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1 ]
[ 0, 8, 33, 37, 38, 42, 49, 75, 79, 83, 85, 103, 105, 120, 133, 134, 138, 154, 185, 216, 252, 274, 290, 317, 335, 360, 470, 518, 525, 539, 611, 620, 630, 644, 696, 788, 958, 964, 975, 978, 1022, 1127, 1257, 1260, 1355, 1403, 1488, 1566, 1582, 1595, 1911, 1974, 2348, 2381, 3013, 3081, 3187, 3379, 4370, 4638, 6735, 9482, 9559, 18748, 23884, 26213 ]
3
[ 0, 8, 25, 4, 1, 4, 7, 26, 4, 4, 2, 18, 2, 15, 13, 1, 4, 16, 31, 31, 36, 22, 16, 27, 18, 25, 110, 48, 7, 14, 72, 9, 10, 14, 52, 92, 170, 6, 11, 3, 44, 105, 130, 3, 95, 48, 85, 78, 16, 13, 316, 63, 374, 33, 632, 68, 106, 192, 991, 268, 2097, 2747, 77, 9189, 5136, 2329 ]
66
8,304
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 9, 10, 16, 16, 17, 20, 24, 25, 27, 28, 33, 35, 37, 40, 40, 41, 45, 46, 47, 53, 57, 57, 84, 84, 86, 91, 96, 102, 103, 104, 114, 131, 138, 152, 236, 244, 246, 254, 277, 304, 315, 336, 344, 396, 434, 440, 507, 519, 528, 680, 742, 896, 903, 924, 946, 958, 961, 964, 1024, 1072, 1120, 1141, 1185, 1189, 1218, 1492, 1653, 1920, 2026, 2275, 2291, 2660, 2762, 3055, 3313, 3593, 3946, 3983, 4069, 4171, 4871, 5906, 6277, 6300, 7925, 10510, 10557, 11608, 11631, 11680, 11724, 11733, 12172, 12361, 14072, 14679, 16274, 16323, 16332, 16375, 17327, 19143, 19154, 19896, 20253, 20659, 22463, 22865, 24079, 27582, 28264, 30564, 32455, 33735, 38564, 76791, 81799, 81841, 85129, 86769, 88165, 88234, 88271, 94899, 100148, 112946, 117006, 186265 ]
3
[ 0, 9, 1, 6, 0, 1, 3, 4, 1, 2, 1, 5, 2, 2, 3, 0, 1, 4, 1, 1, 6, 4, 0, 27, 0, 2, 5, 5, 6, 1, 1, 10, 17, 7, 14, 84, 8, 2, 8, 23, 27, 11, 21, 8, 52, 38, 6, 67, 12, 9, 152, 62, 154, 7, 21, 22, 12, 3, 3, 60, 48, 48, 21, 44, 4, 29, 274, 161, 267, 106, 249, 16, 369, 102, 293, 258, 280, 353, 37, 86, 102, 700, 1035, 371, 23, 1625, 2585, 47, 1051, 23, 49, 44, 9, 439, 189, 1711, 607, 1595, 49, 9, 43, 952, 1816, 11, 742, 357, 406, 1804, 402, 1214, 3503, 682, 2300, 1891, 1280, 4829, 38227, 5008, 42, 3288, 1640, 1396, 69, 37, 6628, 5249, 12798, 4060, 69259 ]
129
8,305
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2 ]
[ 0, 36, 38, 191, 226, 347, 372, 479, 582, 703, 930, 1072, 1645, 2329, 2525, 2701, 2753, 3182, 3708, 3983, 4405, 5574, 5695, 6291, 9990, 10424, 11626, 13856, 20607, 21196, 21686, 22236, 24234, 26809, 27341, 27734, 29915, 30638, 31798, 34677, 34684, 35810, 36677, 37261, 37336, 38336, 39186, 39452, 42022, 44961, 54501, 57709, 60072, 67440, 68178, 72895, 77501, 94619, 128247, 151573, 160343, 200090, 233295, 242230, 280916 ]
3
[ 0, 36, 2, 153, 35, 121, 25, 107, 103, 121, 227, 142, 573, 684, 196, 176, 52, 429, 526, 275, 422, 1169, 121, 596, 3699, 434, 1202, 2230, 6751, 589, 490, 550, 1998, 2575, 532, 393, 2181, 723, 1160, 2879, 7, 1126, 867, 584, 75, 1000, 850, 266, 2570, 2939, 9540, 3208, 2363, 7368, 738, 4717, 4606, 17118, 33628, 23326, 8770, 39747, 33205, 8935, 38686 ]
65
8,306
[ 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 ]
[ 0, 1, 7, 8, 13, 21, 21, 39, 46, 48, 49, 51, 62, 63, 71, 73, 92, 93, 95, 98, 100, 104, 105, 106, 114, 121, 121, 128, 139, 152, 165, 173, 177, 179, 187, 187, 189, 217, 229, 235, 241, 243, 245, 246, 269, 274, 276, 293, 337, 373, 373, 378, 403, 408, 420, 474, 477, 490, 492, 525, 597, 634, 651, 654, 691, 699, 701, 703, 704, 720, 939, 953, 965, 975, 1223, 1388, 1723, 1887, 2064, 2078, 2094, 2099, 2102, 2132, 2141, 2403, 2700, 3073, 3186, 3446, 3699, 4691, 5045, 5797, 6136, 6259, 6749, 6845, 7404, 8817, 8973, 9916, 12826, 15454, 16882, 20032, 20685, 21297, 21411, 30141, 34560, 35608, 36013, 38159, 40920, 43352, 45120, 50287, 50326, 52578, 52717, 70449, 72769, 74765, 80635, 82516, 92520, 92549, 114850 ]
3
[ 0, 1, 6, 1, 5, 8, 0, 18, 7, 2, 1, 2, 11, 1, 8, 2, 19, 1, 2, 3, 2, 4, 1, 1, 8, 7, 0, 7, 11, 13, 13, 8, 4, 2, 8, 0, 2, 28, 12, 6, 6, 2, 2, 1, 23, 5, 2, 17, 44, 36, 0, 5, 25, 5, 12, 54, 3, 13, 2, 33, 72, 37, 17, 3, 37, 8, 2, 2, 1, 16, 219, 14, 12, 10, 248, 165, 335, 164, 177, 14, 16, 5, 3, 30, 9, 262, 297, 373, 113, 260, 253, 992, 354, 752, 339, 123, 490, 96, 559, 1413, 156, 943, 2910, 2628, 1428, 3150, 653, 612, 114, 8730, 4419, 1048, 405, 2146, 2761, 2432, 1768, 5167, 39, 2252, 139, 17732, 2320, 1996, 5870, 1881, 10004, 29, 22301 ]
129
8,307
[ 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0 ]
[ 0, 1, 2, 3, 5, 9, 10, 15, 22, 36, 39, 43, 51, 53, 54, 55, 58, 64, 65, 67, 67, 80, 85, 86, 88, 125, 125, 132, 144, 156, 174, 177, 212, 214, 223, 224, 232, 283, 288, 305, 324, 336, 365, 387, 451, 496, 502, 525, 533, 554, 572, 590, 590, 592, 599, 600, 603, 603, 626, 639, 681, 687, 701, 710, 731, 787, 843, 862, 869, 873, 907, 915, 938, 1050, 1080, 1100, 1132, 1260, 1293, 1294, 1305, 1310, 1313, 1393, 1426, 1427, 1488, 1539, 1629, 1744, 1754, 1771, 1784, 1894, 1897, 1976, 2064, 2234, 2244, 2279, 2448, 2462, 2509, 2561, 2619, 2625, 2681, 2693, 2714, 2877, 2921, 3029, 3051, 3100, 3198, 3333, 3341, 3406, 3407, 3463, 3526, 3639, 3904, 3914, 3941, 3955, 4010, 4134, 4462, 4809, 4860, 4900, 5174, 5185, 5194, 5268, 5565, 5570, 5937, 6005, 6451, 6506, 6585, 6884, 6977, 7064, 7073, 7147, 7325, 7592, 8501, 8742, 8817, 9582, 10120, 10739, 10946, 13609, 16522, 16553, 16794, 16871, 17280, 17808, 17972, 18104, 20002, 20130, 20769, 22762, 23659, 24183, 24293, 24751, 25497, 25674, 25990, 26324, 26714, 26750, 28423, 31266, 32218, 35263, 35478, 35583, 36112, 36535, 36642, 38037, 38814, 39379, 40499, 41990, 42327, 42610, 43258, 46524, 46713, 47217, 47851, 51182, 54571, 64193, 64680, 69007, 69774, 71507, 73325, 73332, 76035, 78596, 84203, 84497, 96332, 110182, 118352, 119677, 132657, 134260, 136754, 138685, 142779, 146009, 205682, 240789, 262549, 470603 ]
3
[ 0, 1, 1, 1, 2, 4, 1, 5, 7, 14, 3, 4, 8, 2, 1, 1, 3, 6, 1, 2, 0, 13, 5, 1, 2, 37, 0, 7, 12, 12, 18, 3, 35, 2, 9, 1, 8, 51, 5, 17, 19, 12, 29, 22, 64, 45, 6, 23, 8, 21, 18, 18, 0, 2, 7, 1, 3, 0, 23, 13, 42, 6, 14, 9, 21, 56, 56, 19, 7, 4, 34, 8, 23, 112, 30, 20, 32, 128, 33, 1, 11, 5, 3, 80, 33, 1, 61, 51, 90, 115, 10, 17, 13, 110, 3, 79, 88, 170, 10, 35, 169, 14, 47, 52, 58, 6, 56, 12, 21, 163, 44, 108, 22, 49, 98, 135, 8, 65, 1, 56, 63, 113, 265, 10, 27, 14, 55, 124, 328, 347, 51, 40, 274, 11, 9, 74, 297, 5, 367, 68, 446, 55, 79, 299, 93, 87, 9, 74, 178, 267, 909, 241, 75, 765, 538, 619, 207, 2663, 2913, 31, 241, 77, 409, 528, 164, 132, 1898, 128, 639, 1993, 897, 524, 110, 458, 746, 177, 316, 334, 390, 36, 1673, 2843, 952, 3045, 215, 105, 529, 423, 107, 1395, 777, 565, 1120, 1491, 337, 283, 648, 3266, 189, 504, 634, 3331, 3389, 9622, 487, 4327, 767, 1733, 1818, 7, 2703, 2561, 5607, 294, 11835, 13850, 8170, 1325, 12980, 1603, 2494, 1931, 4094, 3230, 59673, 35107, 21760, 208054 ]
228
8,308
[ 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1 ]
[ 0, 1, 1, 6, 7, 20, 20, 21, 81, 82, 83, 84, 85, 88, 88, 88, 88, 92, 92, 93, 94, 96, 96, 97, 99, 99, 106, 110, 111, 116, 116, 117, 118, 122, 127, 162, 164, 168, 170, 176, 179, 180, 183, 195, 252, 257, 261, 263, 270, 352, 397, 415, 457, 466, 502, 517, 517, 556, 567, 785, 796, 806, 835, 853, 978, 1048, 1108, 1267, 1579, 1626, 2014, 2053, 2562, 2913, 3237, 3254, 4243, 4508, 4997, 5822, 7278, 7690, 9556, 9802, 11660, 11855, 12136, 12528, 15023, 17082, 19570, 19970, 20111, 22740, 23353, 28788, 29738, 31167, 34628, 34752, 34781, 35242, 35415, 36548, 38940, 39056, 40739, 47348, 47491, 53420, 58578, 60103, 61467, 62284, 65777, 66292, 69286, 69614, 70027, 70338, 71160, 72803, 73866, 75826, 78645, 80909, 83912, 90046, 113202, 123818, 127142, 142151, 143674, 143702, 150602, 151397, 154491, 158355, 159363, 159599, 164375, 165590, 166964, 167509, 202307, 237611, 252273, 317698, 335394, 338277, 340672, 356937, 406356, 443825, 525382, 554427 ]
3
[ 0, 1, 0, 5, 1, 13, 0, 1, 60, 1, 1, 1, 1, 3, 0, 0, 0, 4, 0, 1, 1, 2, 0, 1, 2, 0, 7, 4, 1, 5, 0, 1, 1, 4, 5, 35, 2, 4, 2, 6, 3, 1, 3, 12, 57, 5, 4, 2, 7, 82, 45, 18, 42, 9, 36, 15, 0, 39, 11, 218, 11, 10, 29, 18, 125, 70, 60, 159, 312, 47, 388, 39, 509, 351, 324, 17, 989, 265, 489, 825, 1456, 412, 1866, 246, 1858, 195, 281, 392, 2495, 2059, 2488, 400, 141, 2629, 613, 5435, 950, 1429, 3461, 124, 29, 461, 173, 1133, 2392, 116, 1683, 6609, 143, 5929, 5158, 1525, 1364, 817, 3493, 515, 2994, 328, 413, 311, 822, 1643, 1063, 1960, 2819, 2264, 3003, 6134, 23156, 10616, 3324, 15009, 1523, 28, 6900, 795, 3094, 3864, 1008, 236, 4776, 1215, 1374, 545, 34798, 35304, 14662, 65425, 17696, 2883, 2395, 16265, 49419, 37469, 81557, 29045 ]
156
8,309
[ 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2 ]
[ 0, 13, 20, 40, 41, 60, 75, 84, 99, 109, 131, 132, 141, 142, 146, 147, 165, 170, 242, 263, 263, 271, 276, 297, 310, 310, 329, 335, 368, 380, 397, 405, 407, 409, 435, 485, 529, 548, 566, 603, 660, 761, 795, 828, 1134, 1383, 1500, 1731, 1748, 1888, 3159, 3220, 3316, 3519, 3687, 4730, 4801, 5001, 5192, 5446, 5481, 5526, 6059, 6399, 8057, 8110, 15166, 19647, 37351, 38554, 42084, 42121, 53484, 66731, 75990, 124998 ]
3
[ 0, 13, 7, 20, 1, 19, 15, 9, 15, 10, 22, 1, 9, 1, 4, 1, 18, 5, 72, 21, 0, 8, 5, 21, 13, 0, 19, 6, 33, 12, 17, 8, 2, 2, 26, 50, 44, 19, 18, 37, 57, 101, 34, 33, 306, 249, 117, 231, 17, 140, 1271, 61, 96, 203, 168, 1043, 71, 200, 191, 254, 35, 45, 533, 340, 1658, 53, 7056, 4481, 17704, 1203, 3530, 37, 11363, 13247, 9259, 49008 ]
76
8,310
[ 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0 ]
[ 0, 2, 88, 171, 180, 226, 255, 340, 349, 352, 428, 610, 650, 698, 806, 865, 1171, 1286, 1800, 1988, 2136, 2162, 2184, 2288, 2304, 2318, 2358, 2388, 2396, 2436, 2471, 2591, 2891, 2891, 3095, 3172, 3888, 4196, 4285, 5405, 6024, 7003, 7313, 7502, 9272, 9905, 10333, 11865, 33893, 68204, 68470, 106170, 107684, 112260, 172908, 196552, 283415 ]
3
[ 0, 2, 86, 83, 9, 46, 29, 85, 9, 3, 76, 182, 40, 48, 108, 59, 306, 115, 514, 188, 148, 26, 22, 104, 16, 14, 40, 30, 8, 40, 35, 120, 300, 0, 204, 77, 716, 308, 89, 1120, 619, 979, 310, 189, 1770, 633, 428, 1532, 22028, 34311, 266, 37700, 1514, 4576, 60648, 23644, 86863 ]
57
8,311
[ 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1 ]
[ 0, 12, 35, 36, 43, 46, 48, 50, 53, 54, 57, 74, 86, 101, 125, 135, 177, 190, 197, 201, 215, 217, 219, 221, 225, 225, 233, 240, 243, 248, 249, 250, 251, 255, 256, 263, 266, 267, 269, 273, 273, 273, 275, 280, 285, 288, 290, 299, 299, 301, 307, 310, 311, 311, 312, 312, 313, 322, 325, 328, 334, 335, 336, 341, 343, 347, 353, 354, 355, 362, 365, 374, 380, 381, 387, 394, 395, 397, 408, 420, 424, 432, 435, 443, 445, 450, 453, 457, 461, 467, 476, 482, 508, 508, 528, 530, 534, 560, 575, 591, 600, 618, 651, 680, 786, 787, 792, 800, 801, 802, 808, 844, 867, 878, 890, 947, 973, 1000, 1049, 1096, 1126, 1174, 1217, 1220, 1320, 1422, 1428, 1541, 1682, 1683, 1712, 1775, 1812, 1827, 1936, 2028, 2171, 2172, 2213, 2275, 2293, 3002, 3093, 3124, 3341, 3393, 3440, 3972, 4030, 4045, 4157, 4263, 4523, 5328, 5376, 5761, 5816, 5984, 6226, 6673, 7223, 7383, 7672, 7682, 7764, 9396, 9418, 9967, 10945, 11377, 11587, 12546, 13744, 13897, 14247, 14401, 14945, 17262, 18282, 19010, 19762, 21377, 21578, 21668, 22741, 25117, 33516, 58993, 59057, 68110, 77067, 77095, 78088, 81435, 82411, 84460, 103121, 122498, 129315, 164478, 177041, 262044, 350509, 351001, 358422, 366536, 367108, 367417, 435581, 458224, 458385, 465737, 514382, 515047, 515134 ]
3
[ 0, 12, 23, 1, 7, 3, 2, 2, 3, 1, 3, 17, 12, 15, 24, 10, 42, 13, 7, 4, 14, 2, 2, 2, 4, 0, 8, 7, 3, 5, 1, 1, 1, 4, 1, 7, 3, 1, 2, 4, 0, 0, 2, 5, 5, 3, 2, 9, 0, 2, 6, 3, 1, 0, 1, 0, 1, 9, 3, 3, 6, 1, 1, 5, 2, 4, 6, 1, 1, 7, 3, 9, 6, 1, 6, 7, 1, 2, 11, 12, 4, 8, 3, 8, 2, 5, 3, 4, 4, 6, 9, 6, 26, 0, 20, 2, 4, 26, 15, 16, 9, 18, 33, 29, 106, 1, 5, 8, 1, 1, 6, 36, 23, 11, 12, 57, 26, 27, 49, 47, 30, 48, 43, 3, 100, 102, 6, 113, 141, 1, 29, 63, 37, 15, 109, 92, 143, 1, 41, 62, 18, 709, 91, 31, 217, 52, 47, 532, 58, 15, 112, 106, 260, 805, 48, 385, 55, 168, 242, 447, 550, 160, 289, 10, 82, 1632, 22, 549, 978, 432, 210, 959, 1198, 153, 350, 154, 544, 2317, 1020, 728, 752, 1615, 201, 90, 1073, 2376, 8399, 25477, 64, 9053, 8957, 28, 993, 3347, 976, 2049, 18661, 19377, 6817, 35163, 12563, 85003, 88465, 492, 7421, 8114, 572, 309, 68164, 22643, 161, 7352, 48645, 665, 87 ]
215
8,312
[ 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0 ]
[ 0, 7, 17, 36, 37, 40, 43, 53, 54, 62, 73, 74, 90, 93, 99, 104, 108, 129, 154, 174, 177, 194, 219, 223, 227, 250, 277, 282, 289, 293, 349, 357, 362, 382, 406, 407, 469, 530, 544, 642, 647, 783, 788, 816, 876, 1136, 1163, 1210, 1228, 1355, 1641, 1670, 1729, 1898, 1939, 1983, 2388, 2397, 2727, 2848, 2957, 3247, 3516, 4176, 4183, 4508, 5145, 5178, 6238, 6731, 7119, 22094, 33316, 37002, 41274, 46482 ]
3
[ 0, 7, 10, 19, 1, 3, 3, 10, 1, 8, 11, 1, 16, 3, 6, 5, 4, 21, 25, 20, 3, 17, 25, 4, 4, 23, 27, 5, 7, 4, 56, 8, 5, 20, 24, 1, 62, 61, 14, 98, 5, 136, 5, 28, 60, 260, 27, 47, 18, 127, 286, 29, 59, 169, 41, 44, 405, 9, 330, 121, 109, 290, 269, 660, 7, 325, 637, 33, 1060, 493, 388, 14975, 11222, 3686, 4272, 5208 ]
76
8,313
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0 ]
[ 0, 6, 8, 12, 14, 15, 23, 23, 25, 26, 32, 36, 40, 42, 45, 51, 61, 66, 94, 115, 135, 136, 139, 150, 155, 155, 158, 177, 184, 188, 192, 195, 196, 196, 198, 222, 227, 264, 265, 268, 287, 296, 297, 329, 385, 386, 422, 434, 462, 462, 501, 512, 537, 559, 562, 582, 652, 720, 739, 756, 780, 815, 827, 831, 849, 871, 888, 891, 940, 944, 953, 977, 1046, 1058, 1121, 1158, 1192, 1258, 1311, 1470, 1606, 1702, 1781, 2385, 2885, 3072, 3391, 4207, 4463, 4588, 4681, 4766, 5116, 5164, 7701, 10721, 10759, 27024 ]
3
[ 0, 6, 2, 4, 2, 1, 8, 0, 2, 1, 6, 4, 4, 2, 3, 6, 10, 5, 28, 21, 20, 1, 3, 11, 5, 0, 3, 19, 7, 4, 4, 3, 1, 0, 2, 24, 5, 37, 1, 3, 19, 9, 1, 32, 56, 1, 36, 12, 28, 0, 39, 11, 25, 22, 3, 20, 70, 68, 19, 17, 24, 35, 12, 4, 18, 22, 17, 3, 49, 4, 9, 24, 69, 12, 63, 37, 34, 66, 53, 159, 136, 96, 79, 604, 500, 187, 319, 816, 256, 125, 93, 85, 350, 48, 2537, 3020, 38, 16265 ]
98
8,314
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1 ]
[ 0, 6, 18, 20, 43, 238, 436, 461, 462, 466, 473, 474, 476, 476, 480, 491, 494, 501, 505, 506, 511, 512, 516, 532, 538, 559, 560, 590, 598, 602, 609, 631, 659, 702, 732, 747, 770, 837, 847, 1372, 2053, 3262, 3409, 3793, 13037, 43339, 49537, 49719, 66108, 92077, 146304, 435286, 576631 ]
3
[ 0, 6, 12, 2, 23, 195, 198, 25, 1, 4, 7, 1, 2, 0, 4, 11, 3, 7, 4, 1, 5, 1, 4, 16, 6, 21, 1, 30, 8, 4, 7, 22, 28, 43, 30, 15, 23, 67, 10, 525, 681, 1209, 147, 384, 9244, 30302, 6198, 182, 16389, 25969, 54227, 288982, 141345 ]
53
8,315
[ 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1 ]
[ 0, 0, 13, 15, 18, 19, 24, 24, 24, 26, 28, 29, 29, 30, 30, 31, 32, 32, 34, 34, 34, 41, 41, 43, 43, 44, 45, 45, 45, 46, 46, 47, 49, 50, 52, 54, 54, 55, 56, 56, 58, 59, 59, 60, 60, 63, 63, 64, 67, 67, 67, 68, 69, 70, 70, 71, 71, 71, 71, 71, 72, 73, 73, 74, 74, 75, 76, 77, 80, 80, 81, 82, 82, 83, 83, 83, 85, 88, 89, 90, 91, 92, 94, 95, 97, 154, 154, 157, 158, 160, 161, 163, 163, 165, 165, 167, 174, 174, 175, 176, 176, 181, 184, 185, 186, 186, 189, 193, 200, 201, 202, 203, 204, 205, 205, 215, 219, 219, 219, 229, 232, 234, 234, 234, 236, 238, 245, 309, 309, 317, 323, 335, 337, 355, 358, 368, 370, 378, 379, 380, 387, 394, 400, 414, 416, 428, 432, 444, 512, 517, 536, 547, 592, 704, 717, 780, 869, 878, 887, 891, 1143, 1185, 1348, 1450, 1516, 1539, 1791, 1896, 2074, 2826, 2865, 3907, 4540, 4696, 4752, 5885, 6631, 6905, 7190, 7364, 10777, 37085, 39231, 40519, 44599, 56324, 64127, 64146, 74238, 74431, 74845, 83457, 86205, 88906, 89924, 90718, 139783, 143873, 150678, 155071, 167473, 258041 ]
3
[ 0, 0, 13, 2, 3, 1, 5, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 7, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 3, 0, 1, 3, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 3, 0, 1, 1, 0, 1, 0, 0, 2, 3, 1, 1, 1, 1, 2, 1, 2, 57, 0, 3, 1, 2, 1, 2, 0, 2, 0, 2, 7, 0, 1, 1, 0, 5, 3, 1, 1, 0, 3, 4, 7, 1, 1, 1, 1, 1, 0, 10, 4, 0, 0, 10, 3, 2, 0, 0, 2, 2, 7, 64, 0, 8, 6, 12, 2, 18, 3, 10, 2, 8, 1, 1, 7, 7, 6, 14, 2, 12, 4, 12, 68, 5, 19, 11, 45, 112, 13, 63, 89, 9, 9, 4, 252, 42, 163, 102, 66, 23, 252, 105, 178, 752, 39, 1042, 633, 156, 56, 1133, 746, 274, 285, 174, 3413, 26308, 2146, 1288, 4080, 11725, 7803, 19, 10092, 193, 414, 8612, 2748, 2701, 1018, 794, 49065, 4090, 6805, 4393, 12402, 90568 ]
202
8,316
[ 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1 ]
[ 0, 1, 3, 5, 5, 14, 19, 22, 22, 27, 30, 36, 36, 37, 38, 38, 40, 43, 46, 46, 51, 57, 58, 60, 60, 62, 65, 65, 73, 86, 95, 106, 113, 117, 125, 125, 128, 132, 132, 133, 146, 159, 164, 166, 189, 195, 198, 221, 239, 241, 262, 288, 316, 445, 467, 478, 484, 486, 486, 488, 489, 489, 490, 493, 495, 496, 498, 499, 504, 505, 508, 510, 511, 512, 520, 520, 522, 525, 526, 531, 535, 541, 544, 547, 554, 556, 556, 558, 574, 579, 579, 584, 587, 592, 595, 600, 601, 604, 605, 605, 605, 632, 640, 645, 650, 653, 668, 672, 676, 677, 677, 695, 742, 747, 816, 849, 934, 1114, 1258, 1436, 1695, 2210, 2529, 3059, 3767, 5553, 5634, 8711, 16912, 41001, 57434, 65180 ]
3
[ 0, 1, 2, 2, 0, 9, 5, 3, 0, 5, 3, 6, 0, 1, 1, 0, 2, 3, 3, 0, 5, 6, 1, 2, 0, 2, 3, 0, 8, 13, 9, 11, 7, 4, 8, 0, 3, 4, 0, 1, 13, 13, 5, 2, 23, 6, 3, 23, 18, 2, 21, 26, 28, 129, 22, 11, 6, 2, 0, 2, 1, 0, 1, 3, 2, 1, 2, 1, 5, 1, 3, 2, 1, 1, 8, 0, 2, 3, 1, 5, 4, 6, 3, 3, 7, 2, 0, 2, 16, 5, 0, 5, 3, 5, 3, 5, 1, 3, 1, 0, 0, 27, 8, 5, 5, 3, 15, 4, 4, 1, 0, 18, 47, 5, 69, 33, 85, 180, 144, 178, 259, 515, 319, 530, 708, 1786, 81, 3077, 8201, 24089, 16433, 7746 ]
132
8,317
[ 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
[ 0, 1, 19, 44, 45, 60, 62, 99, 103, 108, 117, 146, 148, 166, 213, 238, 240, 305, 328, 334, 342, 409, 428, 439, 447, 484, 664, 668, 697, 762, 777, 779, 1042, 1280, 1280, 1541, 1853, 2675, 2900, 3267, 4362, 4381, 4580, 4756, 5862, 9683, 17836, 18253, 20499, 22921, 74160, 82444, 96867 ]
3
[ 0, 1, 18, 25, 1, 15, 2, 37, 4, 5, 9, 29, 2, 18, 47, 25, 2, 65, 23, 6, 8, 67, 19, 11, 8, 37, 180, 4, 29, 65, 15, 2, 263, 238, 0, 261, 312, 822, 225, 367, 1095, 19, 199, 176, 1106, 3821, 8153, 417, 2246, 2422, 51239, 8284, 14423 ]
53
8,318
[ 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1 ]
[ 0, 5, 8, 17, 36, 50, 67, 70, 103, 127, 150, 215, 242, 304, 323, 332, 395, 399, 400, 466, 554, 606, 685, 691, 787, 843, 1029, 1057, 1321, 1450, 1546, 1715, 1845, 1917, 1983, 2015, 2039, 2090, 2170, 2371, 2861, 3031, 3095, 3358, 3416, 3614, 4195, 5625, 6011, 6465, 7085, 7321, 7556, 8292, 9771, 12080, 13433, 18767, 19764, 23172, 23473, 35433, 36694, 47102, 65489, 66998, 172798, 250514 ]
3
[ 0, 5, 3, 9, 19, 14, 17, 3, 33, 24, 23, 65, 27, 62, 19, 9, 63, 4, 1, 66, 88, 52, 79, 6, 96, 56, 186, 28, 264, 129, 96, 169, 130, 72, 66, 32, 24, 51, 80, 201, 490, 170, 64, 263, 58, 198, 581, 1430, 386, 454, 620, 236, 235, 736, 1479, 2309, 1353, 5334, 997, 3408, 301, 11960, 1261, 10408, 18387, 1509, 105800, 77716 ]
68
8,319
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0 ]
[ 0, 3, 9, 10, 13, 14, 17, 19, 21, 21, 22, 23, 26, 26, 27, 27, 28, 28, 28, 28, 30, 32, 34, 35, 35, 36, 37, 39, 39, 40, 42, 42, 43, 44, 44, 44, 45, 45, 47, 47, 48, 49, 49, 49, 50, 52, 54, 54, 58, 59, 59, 60, 62, 63, 64, 67, 67, 70, 71, 75, 78, 79, 80, 81, 81, 83, 86, 87, 87, 88, 90, 92, 93, 93, 94, 95, 98, 99, 102, 107, 108, 111, 112, 114, 115, 115, 116, 117, 118, 120, 125, 126, 127, 130, 135, 139, 139, 140, 143, 145, 149, 157, 157, 159, 159, 163, 164, 165, 167, 175, 177, 184, 190, 199, 201, 203, 203, 208, 211, 212, 217, 219, 232, 233, 234, 236, 239, 243, 248, 258, 259, 265, 269, 288, 291, 296, 303, 306, 308, 329, 348, 350, 427, 430, 431, 431, 435, 443, 451, 465, 511, 530, 538, 559, 560, 577, 609, 617, 619, 639, 652, 738, 765, 842, 848, 909, 916, 926, 963, 967, 1066, 1213, 1308, 1409, 1456, 1520, 1630, 1723, 1836, 1840, 2144, 2183, 2185, 2228, 2228, 2302, 2305, 2378, 2404, 2516, 2673, 2712, 2792, 2834, 2980, 3641, 4720, 5087, 5152, 5551, 5979, 6127, 6382, 7134, 7173, 7341, 7356, 7767, 8118, 8288, 8847, 8932, 9599, 11975, 13006, 14039, 15526, 18131, 18390, 19326, 23290, 25548, 29955, 30125, 30899, 34342, 35762, 40057, 41933, 66162, 81551, 83476, 86938, 122916, 128239, 174586, 292218 ]
3
[ 0, 3, 6, 1, 3, 1, 3, 2, 2, 0, 1, 1, 3, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 4, 1, 0, 1, 2, 1, 1, 3, 0, 3, 1, 4, 3, 1, 1, 1, 0, 2, 3, 1, 0, 1, 2, 2, 1, 0, 1, 1, 3, 1, 3, 5, 1, 3, 1, 2, 1, 0, 1, 1, 1, 2, 5, 1, 1, 3, 5, 4, 0, 1, 3, 2, 4, 8, 0, 2, 0, 4, 1, 1, 2, 8, 2, 7, 6, 9, 2, 2, 0, 5, 3, 1, 5, 2, 13, 1, 1, 2, 3, 4, 5, 10, 1, 6, 4, 19, 3, 5, 7, 3, 2, 21, 19, 2, 77, 3, 1, 0, 4, 8, 8, 14, 46, 19, 8, 21, 1, 17, 32, 8, 2, 20, 13, 86, 27, 77, 6, 61, 7, 10, 37, 4, 99, 147, 95, 101, 47, 64, 110, 93, 113, 4, 304, 39, 2, 43, 0, 74, 3, 73, 26, 112, 157, 39, 80, 42, 146, 661, 1079, 367, 65, 399, 428, 148, 255, 752, 39, 168, 15, 411, 351, 170, 559, 85, 667, 2376, 1031, 1033, 1487, 2605, 259, 936, 3964, 2258, 4407, 170, 774, 3443, 1420, 4295, 1876, 24229, 15389, 1925, 3462, 35978, 5323, 46347, 117632 ]
237
8,320
[ 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0 ]
[ 0, 0, 6, 24, 72, 111, 124, 178, 190, 200, 416, 508, 509, 560, 710, 772, 776, 888, 1352, 2838, 3926, 3946, 3949, 3953, 3960, 3975, 3976, 3979, 3982, 3990, 4002, 4004, 4035, 4069, 4072, 4076, 4119, 4143, 4153, 4411, 4511, 4769, 5244, 5756, 6065, 6301, 8249, 8339, 8366, 8707, 8707, 13610, 15859 ]
3
[ 0, 0, 6, 18, 48, 39, 13, 54, 12, 10, 216, 92, 1, 51, 150, 62, 4, 112, 464, 1486, 1088, 20, 3, 4, 7, 15, 1, 3, 3, 8, 12, 2, 31, 34, 3, 4, 43, 24, 10, 258, 100, 258, 475, 512, 309, 236, 1948, 90, 27, 341, 0, 4903, 2249 ]
53
8,321
[ 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0 ]
[ 0, 54, 58, 61, 78, 96, 124, 194, 215, 228, 294, 310, 322, 324, 434, 556, 595, 601, 638, 687, 723, 734, 793, 859, 1094, 1162, 1358, 1439, 1524, 1701, 1744, 1783, 2200, 2377, 2674, 2766, 3011, 3083, 3115, 4001, 4081, 4163, 4533, 4595, 5481, 5766, 6112, 6469, 6631, 7119, 7278, 7895, 8914, 9904, 10058, 14876, 21721, 24265, 26452, 27347, 28378, 30458, 31406, 33811, 39017, 39224, 40227, 42199, 46139, 46559, 48493, 50043, 50408, 59694, 89416 ]
3
[ 0, 54, 4, 3, 17, 18, 28, 70, 21, 13, 66, 16, 12, 2, 110, 122, 39, 6, 37, 49, 36, 11, 59, 66, 235, 68, 196, 81, 85, 177, 43, 39, 417, 177, 297, 92, 245, 72, 32, 886, 80, 82, 370, 62, 886, 285, 346, 357, 162, 488, 159, 617, 1019, 990, 154, 4818, 6845, 2544, 2187, 895, 1031, 2080, 948, 2405, 5206, 207, 1003, 1972, 3940, 420, 1934, 1550, 365, 9286, 29722 ]
75
8,322
[ 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0 ]
[ 0, 9, 17, 22, 23, 56, 84, 94, 114, 143, 160, 164, 171, 180, 188, 209, 226, 229, 244, 266, 270, 288, 297, 316, 349, 353, 355, 392, 402, 404, 410, 572, 580, 669, 684, 712, 717, 816, 822, 835, 836, 840, 849, 855, 875, 877, 909, 921, 936, 945, 998, 1097, 1134, 1138, 1148, 1220, 1255, 1314, 1330, 1351, 1362, 1364, 1385, 1400, 1432, 1495, 1495, 1547, 1651, 1667, 1688, 1717, 1892, 1925, 1949, 1970, 1999, 2041, 2047, 2076, 2132, 2224, 2284, 2312, 2370, 2384, 2555, 2593, 2693, 2721, 2791, 2835, 2840, 2862, 2864, 2964, 3113, 3404, 3792, 3872, 4498, 4553, 4601, 4671, 4964, 5031, 5164, 5561, 5727, 8187, 13979, 53487, 53534, 54427, 60674, 86510, 86533, 86534, 86542, 86621, 86623, 86681, 86945, 87010, 87038, 87335, 90680, 200947, 270538, 340022, 340057, 340207, 341006, 341254, 527291 ]
3
[ 0, 9, 8, 5, 1, 33, 28, 10, 20, 29, 17, 4, 7, 9, 8, 21, 17, 3, 15, 22, 4, 18, 9, 19, 33, 4, 2, 37, 10, 2, 6, 162, 8, 89, 15, 28, 5, 99, 6, 13, 1, 4, 9, 6, 20, 2, 32, 12, 15, 9, 53, 99, 37, 4, 10, 72, 35, 59, 16, 21, 11, 2, 21, 15, 32, 63, 0, 52, 104, 16, 21, 29, 175, 33, 24, 21, 29, 42, 6, 29, 56, 92, 60, 28, 58, 14, 171, 38, 100, 28, 70, 44, 5, 22, 2, 100, 149, 291, 388, 80, 626, 55, 48, 70, 293, 67, 133, 397, 166, 2460, 5792, 39508, 47, 893, 6247, 25836, 23, 1, 8, 79, 2, 58, 264, 65, 28, 297, 3345, 110267, 69591, 69484, 35, 150, 799, 248, 186037 ]
135
8,323
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ 0, 10, 13, 15, 30, 36, 38, 40, 42, 47, 47, 73, 75, 76, 88, 89, 95, 96, 114, 122, 124, 125, 131, 132, 136, 141, 145, 160, 167, 171, 198, 231, 265, 269, 272, 284, 285, 298, 311, 318, 334, 359, 368, 376, 386, 411, 439, 444, 450, 470, 474, 507, 616, 655, 686, 692, 713, 734, 744, 871, 1027, 1089, 1114, 1154, 1177, 1180, 1186, 1206, 1334, 1358, 1358, 1415, 1445, 1479, 1519, 1572, 1583, 1682, 1834, 1968, 2013, 2203, 2357, 2369, 2621, 2721, 3079, 3087, 3128, 3262, 4111, 4122, 4196, 4203, 4253, 4371, 5728, 7987, 8877, 10838, 11090, 11873, 12384, 12823, 13889, 19067, 19681, 21270, 33597, 37926, 38090, 39321, 44075, 66749, 73692, 73797, 74414, 77223, 103825, 114133, 125408, 126297, 126612, 127178, 127337, 132834, 135308, 335472 ]
3
[ 0, 10, 3, 2, 15, 6, 2, 2, 2, 5, 0, 26, 2, 1, 12, 1, 6, 1, 18, 8, 2, 1, 6, 1, 4, 5, 4, 15, 7, 4, 27, 33, 34, 4, 3, 12, 1, 13, 13, 7, 16, 25, 9, 8, 10, 25, 28, 5, 6, 20, 4, 33, 109, 39, 31, 6, 21, 21, 10, 127, 156, 62, 25, 40, 23, 3, 6, 20, 128, 24, 0, 57, 30, 34, 40, 53, 11, 99, 152, 134, 45, 190, 154, 12, 252, 100, 358, 8, 41, 134, 849, 11, 74, 7, 50, 118, 1357, 2259, 890, 1961, 252, 783, 511, 439, 1066, 5178, 614, 1589, 12327, 4329, 164, 1231, 4754, 22674, 6943, 105, 617, 2809, 26602, 10308, 11275, 889, 315, 566, 159, 5497, 2474, 200164 ]
128
8,324
[ 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1 ]
[ 0, 5, 66, 74, 78, 111, 121, 493, 38783, 38821, 38828, 38829, 38831, 38836, 38837, 38862, 38865, 38880, 38890, 38906, 38912, 38913, 38935, 38968, 38970, 38990, 38997, 39003, 39014, 39077, 39110, 39116, 39153, 39153, 39167, 39169, 39262, 39312, 39338, 39371, 39388, 39431, 39432, 39473, 39498, 39537, 39769, 40073, 40224, 40241, 40251, 40589, 41008, 41030, 41509, 41911, 43147, 43687, 43770, 44052, 44080, 45927, 48437, 49556, 50597, 50978, 51575, 52737, 53433, 53686, 56049, 56686, 60404, 61754, 62350, 63144, 64100, 79764, 82354, 82772, 83652, 84113, 85969, 87528, 87852, 96249, 99125, 121375, 140335, 140355, 140407, 140413, 140431, 140439, 140452, 140580, 140937, 141334, 143191, 143625, 153994, 214398, 265188, 326164, 326206, 335481, 335494, 335688, 340702, 350490, 410772, 518691, 518935, 573051, 573190 ]
3
[ 0, 5, 61, 8, 4, 33, 10, 372, 38290, 38, 7, 1, 2, 5, 1, 25, 3, 15, 10, 16, 6, 1, 22, 33, 2, 20, 7, 6, 11, 63, 33, 6, 37, 0, 14, 2, 93, 50, 26, 33, 17, 43, 1, 41, 25, 39, 232, 304, 151, 17, 10, 338, 419, 22, 479, 402, 1236, 540, 83, 282, 28, 1847, 2510, 1119, 1041, 381, 597, 1162, 696, 253, 2363, 637, 3718, 1350, 596, 794, 956, 15664, 2590, 418, 880, 461, 1856, 1559, 324, 8397, 2876, 22250, 18960, 20, 52, 6, 18, 8, 13, 128, 357, 397, 1857, 434, 10369, 60404, 50790, 60976, 42, 9275, 13, 194, 5014, 9788, 60282, 107919, 244, 54116, 139 ]
115
8,325
[ 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1 ]
[ 0, 2, 5, 9, 25, 37, 39, 41, 47, 51, 56, 64, 73, 85, 89, 93, 95, 99, 102, 112, 146, 147, 153, 161, 195, 221, 257, 257, 292, 379, 404, 416, 420, 466, 482, 597, 738, 955, 1357, 1358, 1668, 1922, 2021, 2133, 2142, 2234, 2471, 2796, 2963, 3052, 3133, 3652, 3957, 17344, 18137, 19714, 22751, 22873, 23610, 23907, 23927, 24821, 25727, 26037, 28480, 28938, 29622, 31544, 34445, 35824, 49117, 57774, 62322, 64221, 477480 ]
3
[ 0, 2, 3, 4, 16, 12, 2, 2, 6, 4, 5, 8, 9, 12, 4, 4, 2, 4, 3, 10, 34, 1, 6, 8, 34, 26, 36, 0, 35, 87, 25, 12, 4, 46, 16, 115, 141, 217, 402, 1, 310, 254, 99, 112, 9, 92, 237, 325, 167, 89, 81, 519, 305, 13387, 793, 1577, 3037, 122, 737, 297, 20, 894, 906, 310, 2443, 458, 684, 1922, 2901, 1379, 13293, 8657, 4548, 1899, 413259 ]
75
8,326
[ 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0 ]
[ 0, 5, 44, 46, 50, 51, 60, 115, 265, 269, 271, 280, 284, 342, 404, 417, 524, 539, 559, 578, 648, 806, 842, 889, 908, 977, 1012, 1038, 1090, 1139, 1652, 1682, 2151, 2409, 2522, 2617, 2910, 2960, 3183, 3267, 3337, 3466, 3649, 3698, 4010, 4091, 4319, 4559, 5128, 5540, 5724, 5866, 6187, 6742, 7465, 7558, 9851, 9979, 11100, 11881, 13353, 13582, 15436, 17491, 19317, 20549, 20594, 24938, 25275, 27717, 32336, 47015, 52917, 74170, 216966, 222561 ]
3
[ 0, 5, 39, 2, 4, 1, 9, 55, 150, 4, 2, 9, 4, 58, 62, 13, 107, 15, 20, 19, 70, 158, 36, 47, 19, 69, 35, 26, 52, 49, 513, 30, 469, 258, 113, 95, 293, 50, 223, 84, 70, 129, 183, 49, 312, 81, 228, 240, 569, 412, 184, 142, 321, 555, 723, 93, 2293, 128, 1121, 781, 1472, 229, 1854, 2055, 1826, 1232, 45, 4344, 337, 2442, 4619, 14679, 5902, 21253, 142796, 5595 ]
76
8,327
[ 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1 ]
[ 0, 7, 7, 7, 13, 14, 18, 23, 27, 28, 33, 35, 38, 44, 48, 51, 58, 63, 67, 72, 79, 84, 85, 87, 92, 93, 95, 95, 102, 106, 108, 109, 121, 121, 126, 131, 132, 141, 143, 144, 151, 154, 166, 192, 197, 198, 222, 258, 265, 279, 283, 295, 319, 368, 393, 419, 577, 719, 989, 1107, 1157, 1453, 1552, 1565, 1619, 1778, 2019, 2046, 2222, 2234, 2235, 2403, 2810, 4779, 6672, 8161, 12388, 12702, 13613, 14582, 14582, 20997, 22224, 22330, 22535, 33520, 64341, 65325, 74689, 76139, 76464, 77053, 78818, 79382, 89336, 95048, 95670, 97118, 97307, 98929, 103175, 107205, 115722, 116021, 121304, 155511, 182699, 365125 ]
3
[ 0, 7, 0, 0, 6, 1, 4, 5, 4, 1, 5, 2, 3, 6, 4, 3, 7, 5, 4, 5, 7, 5, 1, 2, 5, 1, 2, 0, 7, 4, 2, 1, 12, 0, 5, 5, 1, 9, 2, 1, 7, 3, 12, 26, 5, 1, 24, 36, 7, 14, 4, 12, 24, 49, 25, 26, 158, 142, 270, 118, 50, 296, 99, 13, 54, 159, 241, 27, 176, 12, 1, 168, 407, 1969, 1893, 1489, 4227, 314, 911, 969, 0, 6415, 1227, 106, 205, 10985, 30821, 984, 9364, 1450, 325, 589, 1765, 564, 9954, 5712, 622, 1448, 189, 1622, 4246, 4030, 8517, 299, 5283, 34207, 27188, 182426 ]
108
8,328
[ 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0 ]
[ 0, 30, 34, 37, 39, 67, 85, 99, 102, 108, 110, 145, 156, 156, 163, 163, 194, 237, 338, 369, 378, 405, 410, 415, 421, 475, 638, 640, 704, 720, 761, 768, 790, 950, 967, 1385, 1627, 2243, 3217, 3972, 3986, 3997, 4805, 4834, 7597, 8871, 11437, 11675, 12055, 23034, 24893, 25541, 26917, 35169, 54128 ]
3
[ 0, 30, 4, 3, 2, 28, 18, 14, 3, 6, 2, 35, 11, 0, 7, 0, 31, 43, 101, 31, 9, 27, 5, 5, 6, 54, 163, 2, 64, 16, 41, 7, 22, 160, 17, 418, 242, 616, 974, 755, 14, 11, 808, 29, 2763, 1274, 2566, 238, 380, 10979, 1859, 648, 1376, 8252, 18959 ]
55
8,329
[ 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0 ]
[ 0, 7, 7, 12, 16, 16, 20, 23, 24, 34, 39, 40, 56, 57, 59, 60, 61, 68, 69, 73, 78, 79, 80, 82, 95, 96, 99, 103, 105, 110, 110, 111, 112, 119, 120, 122, 124, 124, 127, 130, 145, 147, 167, 168, 171, 178, 184, 187, 189, 207, 224, 225, 231, 245, 247, 274, 289, 340, 346, 404, 411, 420, 486, 567, 643, 944, 1036, 1129, 1251, 1370, 1381, 1454, 1634, 2726, 3127, 3165, 3204, 3216, 3260, 9050, 18448, 18889, 19623, 23989, 29615, 31206, 38500, 38631, 38636, 38763, 38793, 38793, 38801, 38804, 38808, 38811, 38816, 38821, 38822, 38826, 38830, 38836, 38922, 38947, 38948, 38967, 38981, 39019, 39021, 39082, 39231, 39267, 39380, 39554, 39840, 40056, 41072, 41650, 42608, 46109, 46303, 48112, 48885, 51137, 59749, 66159, 68274, 68942, 69589, 70656, 74448, 81122, 84809, 107655, 130869, 131059, 133260, 133355, 179865, 230114, 482690, 510787, 510817, 592008 ]
3
[ 0, 7, 0, 5, 4, 0, 4, 3, 1, 10, 5, 1, 16, 1, 2, 1, 1, 7, 1, 4, 5, 1, 1, 2, 13, 1, 3, 4, 2, 5, 0, 1, 1, 7, 1, 2, 2, 0, 3, 3, 15, 2, 20, 1, 3, 7, 6, 3, 2, 18, 17, 1, 6, 14, 2, 27, 15, 51, 6, 58, 7, 9, 66, 81, 76, 301, 92, 93, 122, 119, 11, 73, 180, 1092, 401, 38, 39, 12, 44, 5790, 9398, 441, 734, 4366, 5626, 1591, 7294, 131, 5, 127, 30, 0, 8, 3, 4, 3, 5, 5, 1, 4, 4, 6, 86, 25, 1, 19, 14, 38, 2, 61, 149, 36, 113, 174, 286, 216, 1016, 578, 958, 3501, 194, 1809, 773, 2252, 8612, 6410, 2115, 668, 647, 1067, 3792, 6674, 3687, 22846, 23214, 190, 2201, 95, 46510, 50249, 252576, 28097, 30, 81191 ]
144
8,330
[ 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2, 18, 32, 34, 38, 39, 40, 59, 81, 83, 88, 91, 105, 106, 137, 154, 163, 182, 194, 243, 279, 343, 540, 644, 753, 976, 1209, 1319, 1533, 1662, 1935, 2319, 2846, 3276, 4008, 4155, 4326, 4437, 7131, 7600, 11431, 12241, 12275, 14134, 14931, 16573, 20106, 24861, 28495, 64651, 75401 ]
3
[ 0, 2, 16, 14, 2, 4, 1, 1, 19, 22, 2, 5, 3, 14, 1, 31, 17, 9, 19, 12, 49, 36, 64, 197, 104, 109, 223, 233, 110, 214, 129, 273, 384, 527, 430, 732, 147, 171, 111, 2694, 469, 3831, 810, 34, 1859, 797, 1642, 3533, 4755, 3634, 36156, 10750 ]
52
8,331
[ 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0 ]
[ 0, 7, 12, 20, 42, 49, 57, 71, 84, 93, 245, 250, 255, 262, 309, 380, 390, 433, 472, 525, 841, 841, 889, 1165, 1509, 1585, 1887, 1942, 2053, 2066, 2371, 2524, 3127, 3202, 3485, 4245, 4456, 4673, 5000, 5607, 7872, 9335, 11057, 11988, 14521, 14918, 16249, 18268, 19191, 27193, 27715, 28064, 30335, 30487, 35904, 108381, 118884, 193600, 270351, 278322, 296156, 439451 ]
3
[ 0, 7, 5, 8, 22, 7, 8, 14, 13, 9, 152, 5, 5, 7, 47, 71, 10, 43, 39, 53, 316, 0, 48, 276, 344, 76, 302, 55, 111, 13, 305, 153, 603, 75, 283, 760, 211, 217, 327, 607, 2265, 1463, 1722, 931, 2533, 397, 1331, 2019, 923, 8002, 522, 349, 2271, 152, 5417, 72477, 10503, 74716, 76751, 7971, 17834, 143295 ]
62
8,332
[ 0, 0, 0, 0, 0, 1, 0, 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, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0 ]
[ 0, 16, 21, 27, 34, 35, 52, 53, 76, 116, 128, 169, 180, 195, 196, 202, 215, 300, 322, 325, 333, 344, 345, 464, 477, 563, 563, 610, 674, 785, 805, 847, 905, 921, 922, 939, 948, 1041, 1048, 1102, 1190, 1239, 1331, 1419, 1445, 1641, 1642, 1822, 1838, 2165, 2371, 2451, 2609, 2619, 2757, 3035, 3145, 3372, 3582, 5110, 5193, 5229, 5327, 5495, 5684, 5692, 6205, 7913, 10004, 10261, 10629, 10741, 10792, 11832, 14123, 14819, 17069, 18536, 18569, 19813, 21200, 22128, 22775, 25467, 28971, 29857, 45209, 47715, 51065, 53112, 54003, 55949, 56192, 56940, 58362, 63989, 64776, 65421, 70034, 122029, 172081, 349484 ]
3
[ 0, 16, 5, 6, 7, 1, 17, 1, 23, 40, 12, 41, 11, 15, 1, 6, 13, 85, 22, 3, 8, 11, 1, 119, 13, 86, 0, 47, 64, 111, 20, 42, 58, 16, 1, 17, 9, 93, 7, 54, 88, 49, 92, 88, 26, 196, 1, 180, 16, 327, 206, 80, 158, 10, 138, 278, 110, 227, 210, 1528, 83, 36, 98, 168, 189, 8, 513, 1708, 2091, 257, 368, 112, 51, 1040, 2291, 696, 2250, 1467, 33, 1244, 1387, 928, 647, 2692, 3504, 886, 15352, 2506, 3350, 2047, 891, 1946, 243, 748, 1422, 5627, 787, 645, 4613, 51995, 50052, 177403 ]
102
8,333
[ 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1 ]
[ 0, 3, 20, 81, 118, 149, 154, 167, 182, 221, 234, 242, 260, 272, 287, 292, 306, 315, 328, 372, 398, 446, 631, 664, 692, 774, 815, 1013, 2135, 3243, 3366, 3799, 3912, 4926, 5791, 5921, 10216, 11847, 13336, 13336, 14058, 20120, 21218, 23702, 26867, 28323, 28323, 28722, 34485, 35248, 36150 ]
3
[ 0, 3, 17, 61, 37, 31, 5, 13, 15, 39, 13, 8, 18, 12, 15, 5, 14, 9, 13, 44, 26, 48, 185, 33, 28, 82, 41, 198, 1122, 1108, 123, 433, 113, 1014, 865, 130, 4295, 1631, 1489, 0, 722, 6062, 1098, 2484, 3165, 1456, 0, 399, 5763, 763, 902 ]
51
8,334
[ 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0 ]
[ 0, 11, 12, 24, 49, 51, 112, 124, 185, 218, 304, 306, 405, 407, 407, 420, 471, 546, 549, 698, 945, 1119, 1228, 1231, 1383, 1400, 1409, 1449, 1648, 2329, 2846, 7239, 8030, 12370, 12767, 16045, 16757, 21501, 21615, 22190, 26257, 26947, 27199, 29074, 29335, 33730, 36790, 37215, 37811, 38883, 39336, 39804, 40416, 44680, 45025, 48318, 48834, 49377, 51065, 52869, 53057, 58499, 59425, 60329, 61528, 61530, 69432, 74055, 76405, 85268, 109414, 110981, 118191, 128274, 146950, 185522, 227479 ]
3
[ 0, 11, 1, 12, 25, 2, 61, 12, 61, 33, 86, 2, 99, 2, 0, 13, 51, 75, 3, 149, 247, 174, 109, 3, 152, 17, 9, 40, 199, 681, 517, 4393, 791, 4340, 397, 3278, 712, 4744, 114, 575, 4067, 690, 252, 1875, 261, 4395, 3060, 425, 596, 1072, 453, 468, 612, 4264, 345, 3293, 516, 543, 1688, 1804, 188, 5442, 926, 904, 1199, 2, 7902, 4623, 2350, 8863, 24146, 1567, 7210, 10083, 18676, 38572, 41957 ]
77
8,335
[ 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 42, 273, 546, 673, 687, 691, 692, 698, 708, 718, 718, 721, 743, 748, 757, 768, 772, 772, 777, 779, 787, 796, 802, 839, 854, 873, 900, 916, 932, 933, 938, 944, 947, 962, 967, 985, 988, 1001, 1015, 1035, 1037, 1058, 1082, 1108, 1116, 1214, 1262, 1270, 1600, 1682, 1784, 1802, 1819, 1822, 1827, 1827, 1828, 1834, 1844, 1846, 1852, 1859, 1861, 1862, 1863, 1895, 1897, 1914, 1919, 1929, 1935, 1974, 1983, 1993, 2001, 2016, 2025, 2093, 2097, 2103, 2121, 2135, 2136, 2144, 2145, 2152, 2153, 2154, 2155, 2157, 2160, 2167, 2202, 2205, 2206, 2217, 2222, 2240, 2250, 2259, 2279, 2303, 2320, 2347, 2481, 2481, 2522, 2616, 2721, 2805, 2839, 2912, 2934, 2942, 2946, 2948, 2948, 2949, 2960, 2962, 2964, 2966, 2968, 2984, 2994, 2995, 2996, 3004, 3006, 3010, 3026, 3050, 3072, 3092, 3095, 3100, 3104, 3128, 3145, 3147, 3263, 3300, 3338, 3388, 3731, 14644, 14670, 14690, 14701, 14705, 14719, 14760, 14851, 14857, 14870, 14874, 14899, 18003, 19868, 43077, 73633, 107580, 109257, 110819, 117882, 171687, 208782, 231338, 231630, 245732, 377112, 438419, 438440, 438445, 438452, 438483, 438489, 438493, 438507, 438604, 438610, 438636, 438665, 438784, 438817, 439357, 442908, 456041 ]
3
[ 0, 42, 231, 273, 127, 14, 4, 1, 6, 10, 10, 0, 3, 22, 5, 9, 11, 4, 0, 5, 2, 8, 9, 6, 37, 15, 19, 27, 16, 16, 1, 5, 6, 3, 15, 5, 18, 3, 13, 14, 20, 2, 21, 24, 26, 8, 98, 48, 8, 330, 82, 102, 18, 17, 3, 5, 0, 1, 6, 10, 2, 6, 7, 2, 1, 1, 32, 2, 17, 5, 10, 6, 39, 9, 10, 8, 15, 9, 68, 4, 6, 18, 14, 1, 8, 1, 7, 1, 1, 1, 2, 3, 7, 35, 3, 1, 11, 5, 18, 10, 9, 20, 24, 17, 27, 134, 0, 41, 94, 105, 84, 34, 73, 22, 8, 4, 2, 0, 1, 11, 2, 2, 2, 2, 16, 10, 1, 1, 8, 2, 4, 16, 24, 22, 20, 3, 5, 4, 24, 17, 2, 116, 37, 38, 50, 343, 10913, 26, 20, 11, 4, 14, 41, 91, 6, 13, 4, 25, 3104, 1865, 23209, 30556, 33947, 1677, 1562, 7063, 53805, 37095, 22556, 292, 14102, 131380, 61307, 21, 5, 7, 31, 6, 4, 14, 97, 6, 26, 29, 119, 33, 540, 3551, 13133 ]
189
8,336
[ 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1 ]
[ 0, 10, 28, 34, 38, 60, 101, 122, 165, 179, 184, 235, 283, 304, 312, 334, 380, 463, 487, 490, 501, 600, 678, 789, 823, 946, 963, 991, 1007, 1061, 1072, 1126, 1180, 1278, 1294, 1444, 1472, 1485, 1501, 1581, 1615, 1681, 1704, 1739, 2054, 2392, 2437, 2489, 2543, 2552, 2557, 3184, 3750, 3778, 3880, 3934, 3987, 4069, 4224, 4238, 4362, 4417, 4938, 5209, 5217, 5310, 5334, 5693, 6040, 6169, 6194, 7376, 7970, 7972, 8517, 8676, 8927, 8990, 9269, 9783, 10988, 11338, 13164, 13271, 13271, 14611, 15711, 18292, 18426, 24183, 24427, 30433, 43577, 48254, 107571 ]
3
[ 0, 10, 18, 6, 4, 22, 41, 21, 43, 14, 5, 51, 48, 21, 8, 22, 46, 83, 24, 3, 11, 99, 78, 111, 34, 123, 17, 28, 16, 54, 11, 54, 54, 98, 16, 150, 28, 13, 16, 80, 34, 66, 23, 35, 315, 338, 45, 52, 54, 9, 5, 627, 566, 28, 102, 54, 53, 82, 155, 14, 124, 55, 521, 271, 8, 93, 24, 359, 347, 129, 25, 1182, 594, 2, 545, 159, 251, 63, 279, 514, 1205, 350, 1826, 107, 0, 1340, 1100, 2581, 134, 5757, 244, 6006, 13144, 4677, 59317 ]
95
8,337
[ 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 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, 10, 102, 174, 237, 265, 297, 307, 314, 329, 340, 341, 342, 356, 357, 384, 391, 392, 432, 436, 447, 448, 449, 453, 487, 558, 566, 574, 602, 652, 658, 740, 791, 822, 893, 903, 960, 1193, 1243, 1332, 1341, 1354, 1516, 1529, 1569, 1792, 1981, 2348, 2350, 2359, 2373, 2473, 2490, 2607, 3538, 3880, 4520, 4635, 4666, 4871, 4940, 5026, 5077, 5439, 5665, 5838, 7179, 7688, 7953, 10287, 10524, 12575, 14517, 14555, 16985, 23503, 25909, 31005, 37160, 72856, 73134, 73251, 73806, 73903, 74013, 75689 ]
3
[ 0, 10, 92, 72, 63, 28, 32, 10, 7, 15, 11, 1, 1, 14, 1, 27, 7, 1, 40, 4, 11, 1, 1, 4, 34, 71, 8, 8, 28, 50, 6, 82, 51, 31, 71, 10, 57, 233, 50, 89, 9, 13, 162, 13, 40, 223, 189, 367, 2, 9, 14, 100, 17, 117, 931, 342, 640, 115, 31, 205, 69, 86, 51, 362, 226, 173, 1341, 509, 265, 2334, 237, 2051, 1942, 38, 2430, 6518, 2406, 5096, 6155, 35696, 278, 117, 555, 97, 110, 1676 ]
86
8,338
[ 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1 ]
[ 0, 3, 3, 19, 32, 34, 39, 44, 45, 46, 48, 69, 101, 106, 123, 160, 160, 161, 168, 178, 218, 249, 319, 348, 348, 436, 453, 554, 573, 596, 634, 684, 691, 740, 757, 831, 875, 944, 980, 995, 1065, 1115, 1439, 1439, 1556, 2275, 3935, 4849, 5650, 6193, 8184, 8861, 13590, 18085, 21334, 21340, 25350, 27076, 27416, 35806, 44571, 44858, 45010, 45034, 45045, 45061, 45064, 45068, 45070, 45071, 45072, 45073, 45089, 45090, 45108, 45111, 45113, 45125, 45173, 45181, 45186, 45193, 45202, 45203, 45207, 45219, 45260, 45263, 45325, 45347, 45387, 45409, 45429, 45435, 45441, 45510, 45550, 45611, 45645, 46892, 47465, 52621, 52955, 55385, 55679, 64784, 66226, 67576, 72625, 72708, 72716, 72808, 73049, 73729, 73932, 78502, 81161, 97247, 138863, 138923, 139255, 141372, 142525, 146792, 147828, 149342, 151265, 158734, 162974, 171032, 174384, 182592, 185575, 255402, 255895, 298239, 309713, 341236, 347886, 363879, 368875, 434649, 445307, 579284 ]
3
[ 0, 3, 0, 16, 13, 2, 5, 5, 1, 1, 2, 21, 32, 5, 17, 37, 0, 1, 7, 10, 40, 31, 70, 29, 0, 88, 17, 101, 19, 23, 38, 50, 7, 49, 17, 74, 44, 69, 36, 15, 70, 50, 324, 0, 117, 719, 1660, 914, 801, 543, 1991, 677, 4729, 4495, 3249, 6, 4010, 1726, 340, 8390, 8765, 287, 152, 24, 11, 16, 3, 4, 2, 1, 1, 1, 16, 1, 18, 3, 2, 12, 48, 8, 5, 7, 9, 1, 4, 12, 41, 3, 62, 22, 40, 22, 20, 6, 6, 69, 40, 61, 34, 1247, 573, 5156, 334, 2430, 294, 9105, 1442, 1350, 5049, 83, 8, 92, 241, 680, 203, 4570, 2659, 16086, 41616, 60, 332, 2117, 1153, 4267, 1036, 1514, 1923, 7469, 4240, 8058, 3352, 8208, 2983, 69827, 493, 42344, 11474, 31523, 6650, 15993, 4996, 65774, 10658, 133977 ]
144
8,339
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2 ]
[ 0, 3, 11, 13, 13, 13, 22, 88, 91, 96, 98, 100, 100, 103, 108, 112, 116, 117, 120, 122, 123, 131, 146, 160, 167, 178, 184, 185, 190, 193, 201, 205, 209, 216, 229, 241, 245, 246, 268, 275, 286, 293, 321, 384, 394, 395, 514, 563, 672, 705, 708, 782, 910, 954, 1043, 2027, 2556, 3113, 3129, 3995, 4017, 4894, 6439, 6767, 9016, 11459, 11481, 13788, 14050, 18649, 20623, 29684, 34298, 35671, 36960, 39012, 43097, 45896, 46438, 78506, 78713, 90848, 101619, 104732, 111021, 123174, 149074, 260155 ]
3
[ 0, 3, 8, 2, 0, 0, 9, 66, 3, 5, 2, 2, 0, 3, 5, 4, 4, 1, 3, 2, 1, 8, 15, 14, 7, 11, 6, 1, 5, 3, 8, 4, 4, 7, 13, 12, 4, 1, 22, 7, 11, 7, 28, 63, 10, 1, 119, 49, 109, 33, 3, 74, 128, 44, 89, 984, 529, 557, 16, 866, 22, 877, 1545, 328, 2249, 2443, 22, 2307, 262, 4599, 1974, 9061, 4614, 1373, 1289, 2052, 4085, 2799, 542, 32068, 207, 12135, 10771, 3113, 6289, 12153, 25900, 111081 ]
88
8,340
[ 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1 ]
[ 0, 3, 5, 7, 8, 11, 22, 22, 25, 28, 29, 33, 35, 36, 39, 49, 50, 52, 55, 56, 64, 64, 65, 65, 66, 68, 89, 99, 111, 114, 117, 120, 126, 128, 141, 144, 172, 174, 183, 199, 206, 208, 209, 212, 221, 235, 248, 250, 254, 254, 282, 282, 330, 341, 365, 368, 395, 445, 451, 454, 468, 482, 487, 525, 550, 586, 603, 630, 891, 892, 896, 932, 940, 948, 1009, 1022, 1117, 1220, 1242, 1245, 1353, 1441, 1442, 1543, 1798, 1897, 1931, 1970, 1975, 2070, 2078, 2447, 2655, 2782, 3160, 3305, 3409, 3558, 3737, 3998, 4137, 4413, 4527, 4996, 5278, 5614, 6281, 6367, 6579, 6939, 7747, 7923, 8008, 8075, 8587, 8723, 8951, 11530, 12412, 13158, 13179, 13328, 13349, 13370, 14635, 19508, 19520, 19555, 21062, 23143, 24459, 26542, 33229, 44762, 44780, 53834, 81381, 171607, 171752, 299449 ]
3
[ 0, 3, 2, 2, 1, 3, 11, 0, 3, 3, 1, 4, 2, 1, 3, 10, 1, 2, 3, 1, 8, 0, 1, 0, 1, 2, 21, 10, 12, 3, 3, 3, 6, 2, 13, 3, 28, 2, 9, 16, 7, 2, 1, 3, 9, 14, 13, 2, 4, 0, 28, 0, 48, 11, 24, 3, 27, 50, 6, 3, 14, 14, 5, 38, 25, 36, 17, 27, 261, 1, 4, 36, 8, 8, 61, 13, 95, 103, 22, 3, 108, 88, 1, 101, 255, 99, 34, 39, 5, 95, 8, 369, 208, 127, 378, 145, 104, 149, 179, 261, 139, 276, 114, 469, 282, 336, 667, 86, 212, 360, 808, 176, 85, 67, 512, 136, 228, 2579, 882, 746, 21, 149, 21, 21, 1265, 4873, 12, 35, 1507, 2081, 1316, 2083, 6687, 11533, 18, 9054, 27547, 90226, 145, 127697 ]
140
8,341
[ 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0 ]
[ 0, 0, 13, 86, 391, 444, 553, 588, 836, 1120, 1126, 1406, 1413, 2313, 3745, 4064, 4255, 5545, 5828, 5841, 6027, 7148, 7386, 7670, 7714, 7718, 7851, 8157, 8335, 8419, 8472, 8558, 8664, 9055, 9059, 11305, 11587, 11797, 12711, 13333, 13872, 14301, 15684, 15749, 16166, 16215, 16373, 16411, 17567, 17605, 18376, 19920, 20013, 23183, 23293, 23295, 23676, 23906, 27350, 27386, 27440, 27453, 27547, 28583, 29699, 32701, 32729, 34469, 34978, 35109, 35381, 35679, 37421, 45356, 46554, 51110, 51884, 52793, 52838, 53033, 55437, 56294, 60851, 64293, 66092, 68636, 72577, 107388, 209762, 228628, 233029, 240587, 258384, 286354, 548897, 548897, 566830, 578167 ]
3
[ 0, 0, 13, 73, 305, 53, 109, 35, 248, 284, 6, 280, 7, 900, 1432, 319, 191, 1290, 283, 13, 186, 1121, 238, 284, 44, 4, 133, 306, 178, 84, 53, 86, 106, 391, 4, 2246, 282, 210, 914, 622, 539, 429, 1383, 65, 417, 49, 158, 38, 1156, 38, 771, 1544, 93, 3170, 110, 2, 381, 230, 3444, 36, 54, 13, 94, 1036, 1116, 3002, 28, 1740, 509, 131, 272, 298, 1742, 7935, 1198, 4556, 774, 909, 45, 195, 2404, 857, 4557, 3442, 1799, 2544, 3941, 34811, 102374, 18866, 4401, 7558, 17797, 27970, 262543, 0, 17933, 11337 ]
98
8,342
[ 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0 ]
[ 0, 3, 10, 11, 23, 29, 31, 38, 38, 40, 52, 52, 53, 69, 75, 76, 94, 96, 105, 108, 109, 130, 139, 261, 360, 473, 501, 530, 557, 558, 761, 1163, 1665, 2290, 2615, 3459, 16680, 23770, 27098, 27156, 30035, 30035, 31117, 33206, 34680, 34995, 36493, 37045, 37199, 37681, 37725, 38241, 38366, 40417, 40987, 43655, 46075, 46625, 47136, 47323, 47570, 47583, 47981, 48659, 49773, 51430, 54340, 57763, 60267, 60387, 62031, 62676, 67435, 69489, 69496, 70120, 73562, 73807, 74684, 75051, 77682, 78652, 78862, 78902, 78915, 78970, 86161, 86628, 122631, 129230, 129818, 131715, 132733, 145771, 145792, 420242 ]
3
[ 0, 3, 7, 1, 12, 6, 2, 7, 0, 2, 12, 0, 1, 16, 6, 1, 18, 2, 9, 3, 1, 21, 9, 122, 99, 113, 28, 29, 27, 1, 203, 402, 502, 625, 325, 844, 13221, 7090, 3328, 58, 2879, 0, 1082, 2089, 1474, 315, 1498, 552, 154, 482, 44, 516, 125, 2051, 570, 2668, 2420, 550, 511, 187, 247, 13, 398, 678, 1114, 1657, 2910, 3423, 2504, 120, 1644, 645, 4759, 2054, 7, 624, 3442, 245, 877, 367, 2631, 970, 210, 40, 13, 55, 7191, 467, 36003, 6599, 588, 1897, 1018, 13038, 21, 274450 ]
96
8,343
[ 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2 ]
[ 0, 5, 7, 11, 14, 20, 20, 26, 27, 37, 38, 40, 40, 46, 47, 48, 49, 52, 55, 55, 60, 69, 79, 80, 83, 84, 89, 94, 98, 101, 114, 135, 138, 142, 153, 191, 207, 211, 219, 225, 231, 235, 248, 252, 271, 279, 287, 296, 307, 364, 376, 414, 469, 477, 478, 643, 671, 736, 756, 762, 799, 841, 862, 1314, 2066, 2690, 2692, 3115, 3385, 3564, 4050, 4588, 4715, 4716, 4867, 7557, 9256, 10085, 12269, 13291, 13581, 14762, 15408, 15610, 15625, 17685, 18076, 19681, 22857, 24218, 24532, 26064, 34953, 36948, 50411, 72778, 81834, 82885, 86660, 89951, 91751, 92444, 92894, 95410, 119712, 151017, 153238, 187449, 192709, 227045, 233969, 307963, 338994, 526658 ]
3
[ 0, 5, 2, 4, 3, 6, 0, 6, 1, 10, 1, 2, 0, 6, 1, 1, 1, 3, 3, 0, 5, 9, 10, 1, 3, 1, 5, 5, 4, 3, 13, 21, 3, 4, 11, 38, 16, 4, 8, 6, 6, 4, 13, 4, 19, 8, 8, 9, 11, 57, 12, 38, 55, 8, 1, 165, 28, 65, 20, 6, 37, 42, 21, 452, 752, 624, 2, 423, 270, 179, 486, 538, 127, 1, 151, 2690, 1699, 829, 2184, 1022, 290, 1181, 646, 202, 15, 2060, 391, 1605, 3176, 1361, 314, 1532, 8889, 1995, 13463, 22367, 9056, 1051, 3775, 3291, 1800, 693, 450, 2516, 24302, 31305, 2221, 34211, 5260, 34336, 6924, 73994, 31031, 187664 ]
114
8,344
[ 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1 ]
[ 0, 13, 14, 17, 34, 63, 75, 87, 102, 125, 125, 162, 227, 315, 342, 362, 615, 788, 945, 1014, 1138, 1141, 1153, 1235, 1355, 1358, 1431, 1479, 1510, 1894, 1925, 2378, 2853, 2906, 2928, 3500, 3701, 3848, 4876, 5219, 8217, 9972, 10486, 11307, 13606, 17008, 18746, 20252, 25445, 31531, 39393, 115323, 173004, 180612, 187701, 278538, 324318 ]
3
[ 0, 13, 1, 3, 17, 29, 12, 12, 15, 23, 0, 37, 65, 88, 27, 20, 253, 173, 157, 69, 124, 3, 12, 82, 120, 3, 73, 48, 31, 384, 31, 453, 475, 53, 22, 572, 201, 147, 1028, 343, 2998, 1755, 514, 821, 2299, 3402, 1738, 1506, 5193, 6086, 7862, 75930, 57681, 7608, 7089, 90837, 45780 ]
57
8,345
[ 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0 ]
[ 0, 19, 25, 142, 241, 1304, 2188, 2709, 2897, 3292, 3606, 3623, 4069, 4586, 4625, 4638, 4678, 4729, 4751, 4760, 4783, 4833, 4864, 4968, 4974, 4993, 4995, 5025, 5047, 5058, 5133, 5190, 5273, 5912, 6051, 6151, 6208, 6241, 6488, 6501, 6681, 6815, 7106, 7455, 7614, 7622, 7723, 7915, 8238, 8288, 8318, 8394, 8420, 8934, 9144, 9149, 9327, 9338, 9529, 9640, 10585, 11045, 11169, 11641, 12099, 13144, 14152, 15747, 19439, 22202, 25399, 41873, 43456, 56967, 107268 ]
3
[ 0, 19, 6, 117, 99, 1063, 884, 521, 188, 395, 314, 17, 446, 517, 39, 13, 40, 51, 22, 9, 23, 50, 31, 104, 6, 19, 2, 30, 22, 11, 75, 57, 83, 639, 139, 100, 57, 33, 247, 13, 180, 134, 291, 349, 159, 8, 101, 192, 323, 50, 30, 76, 26, 514, 210, 5, 178, 11, 191, 111, 945, 460, 124, 472, 458, 1045, 1008, 1595, 3692, 2763, 3197, 16474, 1583, 13511, 50301 ]
75
8,346
[ 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1 ]
[ 0, 2, 5, 7, 10, 14, 23, 24, 32, 42, 47, 49, 54, 56, 57, 79, 87, 97, 100, 101, 103, 106, 107, 114, 115, 129, 131, 149, 149, 171, 193, 197, 198, 212, 215, 219, 219, 270, 275, 279, 287, 299, 299, 306, 336, 361, 402, 448, 470, 485, 514, 544, 558, 612, 622, 633, 659, 672, 722, 776, 777, 781, 788, 788, 880, 931, 1033, 1093, 1251, 1268, 1440, 1457, 1526, 1731, 1794, 1889, 1963, 1979, 2105, 2517, 2627, 2636, 3338, 3393, 3421, 3509, 3538, 3869, 4199, 4873, 5207, 5294, 5410, 5437, 5579, 5663, 5681, 5726, 5945, 6282, 6659, 6673, 7329, 7993, 8835, 9674, 10974, 13905, 21929, 22486, 22524, 24710, 25248, 26401, 44323, 47415, 80595, 80651, 107181, 261105 ]
3
[ 0, 2, 3, 2, 3, 4, 9, 1, 8, 10, 5, 2, 5, 2, 1, 22, 8, 10, 3, 1, 2, 3, 1, 7, 1, 14, 2, 18, 0, 22, 22, 4, 1, 14, 3, 4, 0, 51, 5, 4, 8, 12, 0, 7, 30, 25, 41, 46, 22, 15, 29, 30, 14, 54, 10, 11, 26, 13, 50, 54, 1, 4, 7, 0, 92, 51, 102, 60, 158, 17, 172, 17, 69, 205, 63, 95, 74, 16, 126, 412, 110, 9, 702, 55, 28, 88, 29, 331, 330, 674, 334, 87, 116, 27, 142, 84, 18, 45, 219, 337, 377, 14, 656, 664, 842, 839, 1300, 2931, 8024, 557, 38, 2186, 538, 1153, 17922, 3092, 33180, 56, 26530, 153924 ]
120
8,347
[ 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 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, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1 ]
[ 0, 64, 267, 475, 495, 518, 616, 709, 815, 830, 1010, 1622, 2649, 2891, 3057, 3462, 13356, 13567, 13816, 15340, 24831, 24874, 24939, 24975, 25122, 25267, 25573, 25601, 25643, 25662, 25703, 25706, 25753, 26438, 26507, 27049, 27051, 27310, 27341, 27427, 27604, 27677, 27710, 28416, 28913, 28936, 28939, 28958, 29153, 29237, 29464, 32442, 35960, 36218, 36289, 36366, 36431, 36869, 36939, 37224, 37338, 37773, 37928, 38219, 38224, 38266, 39487, 40206, 40554, 44845, 44988, 63017, 101762, 103847, 117215, 117218, 117955, 119201, 119234, 119243, 119306, 119307, 119313, 119340, 119420, 119430, 119659, 119808, 121139, 122267, 122815, 157058, 157287, 157397, 158113, 159629, 169425, 172129, 190019, 190184, 190383, 190784, 190944, 190980, 191243, 191272, 191414, 191637, 192009, 192503, 192504, 192568, 192790, 193154, 200842, 200902, 200973, 201013, 201051, 201132, 201349, 209147, 209523, 212979, 216631, 246982, 249898, 250344, 254834, 277226, 277264, 277804, 278807, 295955, 296063, 296201, 297181, 297717, 309299, 329535, 329897, 329937, 330257, 330386, 330490, 377833, 380219, 381006, 381320, 381415, 381507, 381744, 381753, 381894, 382293, 382321, 383408, 383418, 383842, 383954, 510214 ]
3
[ 0, 64, 203, 208, 20, 23, 98, 93, 106, 15, 180, 612, 1027, 242, 166, 405, 9894, 211, 249, 1524, 9491, 43, 65, 36, 147, 145, 306, 28, 42, 19, 41, 3, 47, 685, 69, 542, 2, 259, 31, 86, 177, 73, 33, 706, 497, 23, 3, 19, 195, 84, 227, 2978, 3518, 258, 71, 77, 65, 438, 70, 285, 114, 435, 155, 291, 5, 42, 1221, 719, 348, 4291, 143, 18029, 38745, 2085, 13368, 3, 737, 1246, 33, 9, 63, 1, 6, 27, 80, 10, 229, 149, 1331, 1128, 548, 34243, 229, 110, 716, 1516, 9796, 2704, 17890, 165, 199, 401, 160, 36, 263, 29, 142, 223, 372, 494, 1, 64, 222, 364, 7688, 60, 71, 40, 38, 81, 217, 7798, 376, 3456, 3652, 30351, 2916, 446, 4490, 22392, 38, 540, 1003, 17148, 108, 138, 980, 536, 11582, 20236, 362, 40, 320, 129, 104, 47343, 2386, 787, 314, 95, 92, 237, 9, 141, 399, 28, 1087, 10, 424, 112, 126260 ]
161
8,348
[ 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0 ]
[ 0, 21792, 22135, 22432, 26418, 26725, 26741, 27019, 27127, 27266, 27352, 27398, 27674, 28082, 28746, 28794, 28860, 28969, 29188, 29223, 29318, 29461, 29499, 29551, 29551, 29612, 29691, 30203, 30225, 30398, 30418, 30532, 30552, 30856, 30964, 31045, 31050, 31184, 31294, 31299, 31419, 31443, 31731, 31731, 32202, 32328, 32658, 32691, 32724, 32813, 32961, 33074, 33353, 33427, 33691, 33869, 34287, 34577, 35276, 35299, 35492, 35653, 36591, 38783, 40110, 41453, 42233, 43724, 44102, 46886, 47133, 55873, 62034, 81360, 152122, 160713, 197873, 388084 ]
3
[ 0, 21792, 343, 297, 3986, 307, 16, 278, 108, 139, 86, 46, 276, 408, 664, 48, 66, 109, 219, 35, 95, 143, 38, 52, 0, 61, 79, 512, 22, 173, 20, 114, 20, 304, 108, 81, 5, 134, 110, 5, 120, 24, 288, 0, 471, 126, 330, 33, 33, 89, 148, 113, 279, 74, 264, 178, 418, 290, 699, 23, 193, 161, 938, 2192, 1327, 1343, 780, 1491, 378, 2784, 247, 8740, 6161, 19326, 70762, 8591, 37160, 190211 ]
78
8,349
[ 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 8, 35, 44, 47, 51, 82, 83, 94, 115, 155, 162, 178, 178, 179, 193, 260, 265, 265, 362, 386, 458, 511, 604, 622, 631, 697, 701, 705, 721, 724, 765, 785, 942, 945, 975, 1019, 1037, 1153, 1176, 1204, 1309, 1445, 1495, 1513, 1526, 1844, 1856, 1948, 2055, 2159, 2330, 2350, 2699, 2821, 3019, 3151, 4135, 4757, 4849, 5243, 5599, 5921, 6731, 6961, 7693, 8077, 8541, 8551, 9475, 9853, 10437, 11491, 11554, 12626, 12848, 13034, 14124, 17613, 18692, 18892, 18893, 18910, 18988, 19131, 19479, 19926, 20634, 21244, 21767, 21813, 24936, 25523, 26148, 27657, 36095, 38624, 39567, 39694, 40802, 46925, 47397, 50008, 50738, 54848, 58858, 78044, 83954, 144983, 160575, 178497, 243600 ]
3
[ 0, 8, 27, 9, 3, 4, 31, 1, 11, 21, 40, 7, 16, 0, 1, 14, 67, 5, 0, 97, 24, 72, 53, 93, 18, 9, 66, 4, 4, 16, 3, 41, 20, 157, 3, 30, 44, 18, 116, 23, 28, 105, 136, 50, 18, 13, 318, 12, 92, 107, 104, 171, 20, 349, 122, 198, 132, 984, 622, 92, 394, 356, 322, 810, 230, 732, 384, 464, 10, 924, 378, 584, 1054, 63, 1072, 222, 186, 1090, 3489, 1079, 200, 1, 17, 78, 143, 348, 447, 708, 610, 523, 46, 3123, 587, 625, 1509, 8438, 2529, 943, 127, 1108, 6123, 472, 2611, 730, 4110, 4010, 19186, 5910, 61029, 15592, 17922, 65103 ]
112
8,350
[ 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ]
[ 0, 6, 7, 81, 234, 953, 1245, 1581, 1601, 1619, 1622, 2309, 2389, 2399, 2406, 2423, 2431, 2666, 9650, 9650, 12329, 14636, 14679, 14689, 14700, 14715, 14715, 14733, 14738, 14742, 14753, 14757, 14759, 14760, 14782, 14800, 14802, 14817, 14839, 14879, 14911, 14942, 14972, 15229, 15525, 15553, 15556, 15576, 15578, 15600, 15614, 15616, 15618, 15623, 15629, 15683, 15819, 16806, 16859, 17217, 17778, 17800, 17871, 18014, 18660, 18726, 18734, 19063, 20052, 20149, 20488, 20499, 20515, 20821, 22555, 23653, 23726, 23731, 23742, 23748, 23759, 23767, 23773, 23788, 23789, 23797, 23816, 23823, 23863, 23901, 24080, 24102, 24138, 24145, 24188, 24575, 24575, 25733, 25756, 25768, 25771, 25780, 25781, 25794, 25796, 25804, 25805, 25814, 25819, 25824, 25829, 25835, 25838, 25841, 25845, 25846, 25852, 25868, 25872, 25881, 25881, 25887, 25897, 25902, 25912, 25928, 25928, 25967, 25981, 26004, 26044, 26104, 26394, 27131, 32942, 33134, 110685, 194418, 268569, 282874, 542866 ]
3
[ 0, 6, 1, 74, 153, 719, 292, 336, 20, 18, 3, 687, 80, 10, 7, 17, 8, 235, 6984, 0, 2679, 2307, 43, 10, 11, 15, 0, 18, 5, 4, 11, 4, 2, 1, 22, 18, 2, 15, 22, 40, 32, 31, 30, 257, 296, 28, 3, 20, 2, 22, 14, 2, 2, 5, 6, 54, 136, 987, 53, 358, 561, 22, 71, 143, 646, 66, 8, 329, 989, 97, 339, 11, 16, 306, 1734, 1098, 73, 5, 11, 6, 11, 8, 6, 15, 1, 8, 19, 7, 40, 38, 179, 22, 36, 7, 43, 387, 0, 1158, 23, 12, 3, 9, 1, 13, 2, 8, 1, 9, 5, 5, 5, 6, 3, 3, 4, 1, 6, 16, 4, 9, 0, 6, 10, 5, 10, 16, 0, 39, 14, 23, 40, 60, 290, 737, 5811, 192, 77551, 83733, 74151, 14305, 259992 ]
141
8,351
[ 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1 ]
[ 0, 9, 44, 47, 59, 61, 63, 76, 78, 80, 88, 89, 90, 94, 95, 97, 99, 100, 130, 131, 132, 134, 158, 188, 200, 214, 226, 230, 250, 262, 276, 319, 368, 375, 380, 450, 498, 517, 543, 560, 583, 584, 621, 629, 684, 776, 812, 961, 1179, 1205, 1289, 1314, 1501, 1918, 2102, 2452, 2520, 2555, 2582, 2950, 3328, 3947, 4121, 5263, 12029, 13671, 15469, 18078, 33098, 39840, 46828, 57299, 57360, 58146, 58879, 70892, 90596, 168123, 171735, 267978, 268906, 317121, 331905, 399068, 407660 ]
3
[ 0, 9, 35, 3, 12, 2, 2, 13, 2, 2, 8, 1, 1, 4, 1, 2, 2, 1, 30, 1, 1, 2, 24, 30, 12, 14, 12, 4, 20, 12, 14, 43, 49, 7, 5, 70, 48, 19, 26, 17, 23, 1, 37, 8, 55, 92, 36, 149, 218, 26, 84, 25, 187, 417, 184, 350, 68, 35, 27, 368, 378, 619, 174, 1142, 6766, 1642, 1798, 2609, 15020, 6742, 6988, 10471, 61, 786, 733, 12013, 19704, 77527, 3612, 96243, 928, 48215, 14784, 67163, 8592 ]
85
8,352
[ 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1 ]
[ 0, 12, 18, 19, 31, 47, 53, 62, 71, 111, 119, 133, 139, 150, 165, 165, 230, 236, 259, 269, 299, 299, 302, 302, 328, 328, 535, 688, 818, 884, 1063, 1100, 3124, 3412, 3438, 3496, 3775, 9059, 9088, 9129, 9135, 9182, 9200, 9210, 9214, 9241, 9253, 9270, 9286, 9297, 9344, 9344, 9361, 9415, 9463, 9480, 9491, 9498, 9569, 9999, 10183, 10453, 10533, 10576, 10579, 10647, 10815, 11006, 11342, 11399, 11546, 12813, 12974, 19320, 21633, 22210, 24324, 25797, 29149, 29237, 30128, 30730, 32021, 37778, 59014, 59148, 69268, 83438, 105541, 113899, 152912 ]
3
[ 0, 12, 6, 1, 12, 16, 6, 9, 9, 40, 8, 14, 6, 11, 15, 0, 65, 6, 23, 10, 30, 0, 3, 0, 26, 0, 207, 153, 130, 66, 179, 37, 2024, 288, 26, 58, 279, 5284, 29, 41, 6, 47, 18, 10, 4, 27, 12, 17, 16, 11, 47, 0, 17, 54, 48, 17, 11, 7, 71, 430, 184, 270, 80, 43, 3, 68, 168, 191, 336, 57, 147, 1267, 161, 6346, 2313, 577, 2114, 1473, 3352, 88, 891, 602, 1291, 5757, 21236, 134, 10120, 14170, 22103, 8358, 39013 ]
91
8,353
[ 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1 ]
[ 0, 9, 11, 18, 19, 20, 21, 24, 35, 35, 44, 49, 49, 51, 52, 65, 85, 100, 182, 205, 217, 433, 436, 479, 571, 774, 850, 907, 1168, 1264, 3208, 3286, 3488, 3736, 4519, 5208, 7141, 7192, 7378, 8611, 8784, 9824, 10103, 10166, 11140, 13008, 13124, 13132, 13652, 15899, 16807, 17251, 24687, 37623, 38210, 38422, 45030, 50257, 55205, 64367, 64953, 71674, 75239, 83763, 84084, 105069, 146006, 152088, 156427, 195548, 279734, 279998, 350138, 353052, 429056 ]
3
[ 0, 9, 2, 7, 1, 1, 1, 3, 11, 0, 9, 5, 0, 2, 1, 13, 20, 15, 82, 23, 12, 216, 3, 43, 92, 203, 76, 57, 261, 96, 1944, 78, 202, 248, 783, 689, 1933, 51, 186, 1233, 173, 1040, 279, 63, 974, 1868, 116, 8, 520, 2247, 908, 444, 7436, 12936, 587, 212, 6608, 5227, 4948, 9162, 586, 6721, 3565, 8524, 321, 20985, 40937, 6082, 4339, 39121, 84186, 264, 70140, 2914, 76004 ]
75
8,354
[ 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0 ]
[ 0, 7, 9, 12, 23, 24, 30, 41, 48, 48, 52, 129, 131, 135, 173, 173, 176, 194, 201, 213, 216, 222, 223, 234, 238, 244, 247, 251, 257, 263, 271, 273, 288, 317, 323, 327, 330, 330, 355, 383, 399, 402, 404, 447, 488, 494, 577, 601, 633, 754, 769, 843, 995, 1003, 1053, 1093, 1104, 1366, 1473, 1920, 2260, 2282, 2383, 2440, 2863, 5993, 28801, 86772 ]
3
[ 0, 7, 2, 3, 11, 1, 6, 11, 7, 0, 4, 77, 2, 4, 38, 0, 3, 18, 7, 12, 3, 6, 1, 11, 4, 6, 3, 4, 6, 6, 8, 2, 15, 29, 6, 4, 3, 0, 25, 28, 16, 3, 2, 43, 41, 6, 83, 24, 32, 121, 15, 74, 152, 8, 50, 40, 11, 262, 107, 447, 340, 22, 101, 57, 423, 3130, 22808, 57971 ]
68
8,355
[ 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0 ]
[ 0, 5, 11, 13, 14, 16, 18, 31, 35, 38, 40, 43, 52, 52, 52, 52, 54, 55, 56, 57, 79, 89, 93, 97, 109, 112, 121, 131, 140, 143, 153, 183, 210, 213, 249, 265, 280, 280, 280, 282, 303, 303, 410, 414, 415, 435, 446, 472, 516, 551, 653, 662, 684, 687, 699, 860, 866, 1001, 1079, 1290, 1357, 1658, 1942, 2541, 5350, 5577, 5585, 6087, 6158, 6205, 6499, 6762, 7372, 13820, 14398, 17083, 17734, 23112, 33231, 90765, 122204, 218949, 523845 ]
3
[ 0, 5, 6, 2, 1, 2, 2, 13, 4, 3, 2, 3, 9, 0, 0, 0, 2, 1, 1, 1, 22, 10, 4, 4, 12, 3, 9, 10, 9, 3, 10, 30, 27, 3, 36, 16, 15, 0, 0, 2, 21, 0, 107, 4, 1, 20, 11, 26, 44, 35, 102, 9, 22, 3, 12, 161, 6, 135, 78, 211, 67, 301, 284, 599, 2809, 227, 8, 502, 71, 47, 294, 263, 610, 6448, 578, 2685, 651, 5378, 10119, 57534, 31439, 96745, 304896 ]
83
8,356
[ 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1 ]
[ 0, 32, 226, 324, 333, 355, 408, 436, 438, 461, 487, 598, 609, 619, 628, 661, 704, 800, 849, 980, 1113, 1343, 1351, 1483, 1538, 1584, 1815, 1938, 1980, 2056, 2365, 2439, 2534, 2537, 2892, 2984, 3288, 3531, 3930, 5303, 5563, 5879, 6409, 6464, 7088, 7853, 7882, 9516, 9914, 11474, 12730, 12737, 19526, 23035, 23428, 26048, 165649, 165982, 167002 ]
3
[ 0, 32, 194, 98, 9, 22, 53, 28, 2, 23, 26, 111, 11, 10, 9, 33, 43, 96, 49, 131, 133, 230, 8, 132, 55, 46, 231, 123, 42, 76, 309, 74, 95, 3, 355, 92, 304, 243, 399, 1373, 260, 316, 530, 55, 624, 765, 29, 1634, 398, 1560, 1256, 7, 6789, 3509, 393, 2620, 139601, 333, 1020 ]
59
8,357
[ 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 16, 23, 107, 225, 272, 394, 746, 1511, 1673, 1923, 2097, 2521, 2802, 3663, 3778, 4137, 5056, 5273, 5875, 6217, 6220, 6621, 9347, 11397, 11774, 12036, 12662, 12817, 15131, 15568, 16043, 16921, 16973, 17096, 17916, 18324, 18673, 19137, 19594, 20417, 20786, 20804, 20857, 20992, 22450, 23636, 23849, 25431, 27625, 29304, 29437, 30152, 50696, 55732, 56095, 58142, 58701, 60576, 61409, 66061, 69924, 70654, 70915, 74886, 74929, 75168, 75268, 75304, 83216, 86518, 89366, 91623, 98127, 98842, 100397, 101824, 107244, 111998, 113212, 114996, 116123, 116526, 126502, 130558, 159535, 159551, 173739, 177248, 179405, 253575, 254267, 254498, 444645 ]
3
[ 0, 16, 7, 84, 118, 47, 122, 352, 765, 162, 250, 174, 424, 281, 861, 115, 359, 919, 217, 602, 342, 3, 401, 2726, 2050, 377, 262, 626, 155, 2314, 437, 475, 878, 52, 123, 820, 408, 349, 464, 457, 823, 369, 18, 53, 135, 1458, 1186, 213, 1582, 2194, 1679, 133, 715, 20544, 5036, 363, 2047, 559, 1875, 833, 4652, 3863, 730, 261, 3971, 43, 239, 100, 36, 7912, 3302, 2848, 2257, 6504, 715, 1555, 1427, 5420, 4754, 1214, 1784, 1127, 403, 9976, 4056, 28977, 16, 14188, 3509, 2157, 74170, 692, 231, 190147 ]
94
8,358
[ 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0 ]
[ 0, 154, 176, 270, 310, 443, 554, 562, 777, 789, 790, 851, 1078, 1108, 1301, 1560, 1985, 2105, 2181, 2560, 2886, 3298, 3889, 4172, 4430, 4432, 4685, 4955, 5370, 5438, 5903, 6089, 6179, 7463, 8245, 8454, 9190, 9657, 9732, 9794, 10250, 11038, 11948, 11950, 18594, 18659, 19028, 20145, 23223, 23369, 24458, 25265, 25629, 27103, 28711, 30672, 30781, 31300, 31434, 31536, 32349, 35691, 38178, 38235, 38688, 40427, 40937, 41548, 44156, 45619, 46174 ]
3
[ 0, 154, 22, 94, 40, 133, 111, 8, 215, 12, 1, 61, 227, 30, 193, 259, 425, 120, 76, 379, 326, 412, 591, 283, 258, 2, 253, 270, 415, 68, 465, 186, 90, 1284, 782, 209, 736, 467, 75, 62, 456, 788, 910, 2, 6644, 65, 369, 1117, 3078, 146, 1089, 807, 364, 1474, 1608, 1961, 109, 519, 134, 102, 813, 3342, 2487, 57, 453, 1739, 510, 611, 2608, 1463, 555 ]
71
8,359
[ 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1 ]
[ 0, 8, 26, 110, 501, 595, 737, 920, 958, 1006, 1018, 1045, 1060, 1069, 1071, 1076, 1076, 1077, 1092, 1112, 1115, 1118, 1135, 1139, 1154, 1182, 1197, 1220, 1233, 1257, 1294, 1324, 1332, 1374, 1397, 1431, 1478, 1548, 1585, 1715, 1870, 1939, 1950, 1979, 2063, 2113, 2135, 2153, 2159, 2169, 2182, 2197, 2202, 2264, 2279, 2315, 2411, 2576, 2597, 2691, 2907, 3571, 3660, 4001, 4211, 4654, 4720, 4796, 4858, 5204, 5881, 5893, 5914, 5927, 5928, 5944, 5993, 6000, 6093, 6469, 11575, 11615, 11623, 11627, 11658, 11759, 18987, 20348, 20401, 20466, 20559, 20575, 21019, 45447, 57195, 80672, 80698, 80715, 80762, 81621, 81647, 81748, 97011, 97083, 97107, 97124, 97134, 97163, 97216, 97227, 97278, 97418, 97707, 98288, 98424, 168154, 168514, 241666, 241779, 241794, 241937, 241962, 252194, 252872, 252953, 253011, 253393, 255147, 255287, 255470, 341536, 341555, 341701, 341718, 350367, 428838, 428944, 435003, 435029, 435046, 435076, 435089, 435200, 435224, 435268, 435294, 435308, 435317, 435403, 435414, 435750, 436125, 436154, 436158, 436295, 436308, 436336, 436710, 439721, 440176 ]
3
[ 0, 8, 18, 84, 391, 94, 142, 183, 38, 48, 12, 27, 15, 9, 2, 5, 0, 1, 15, 20, 3, 3, 17, 4, 15, 28, 15, 23, 13, 24, 37, 30, 8, 42, 23, 34, 47, 70, 37, 130, 155, 69, 11, 29, 84, 50, 22, 18, 6, 10, 13, 15, 5, 62, 15, 36, 96, 165, 21, 94, 216, 664, 89, 341, 210, 443, 66, 76, 62, 346, 677, 12, 21, 13, 1, 16, 49, 7, 93, 376, 5106, 40, 8, 4, 31, 101, 7228, 1361, 53, 65, 93, 16, 444, 24428, 11748, 23477, 26, 17, 47, 859, 26, 101, 15263, 72, 24, 17, 10, 29, 53, 11, 51, 140, 289, 581, 136, 69730, 360, 73152, 113, 15, 143, 25, 10232, 678, 81, 58, 382, 1754, 140, 183, 86066, 19, 146, 17, 8649, 78471, 106, 6059, 26, 17, 30, 13, 111, 24, 44, 26, 14, 9, 86, 11, 336, 375, 29, 4, 137, 13, 28, 374, 3011, 455 ]
160
8,360
[ 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1 ]
[ 0, 6, 8, 10, 10, 11, 12, 13, 13, 15, 16, 16, 18, 18, 20, 21, 23, 24, 27, 28, 32, 33, 36, 37, 37, 38, 41, 41, 42, 44, 44, 46, 49, 49, 51, 51, 53, 54, 54, 56, 59, 60, 63, 65, 65, 66, 68, 69, 70, 70, 71, 71, 73, 74, 75, 76, 81, 88, 90, 91, 93, 96, 98, 101, 106, 110, 110, 110, 119, 119, 119, 124, 124, 127, 132, 133, 133, 134, 137, 142, 143, 150, 151, 161, 170, 191, 203, 206, 230, 238, 240, 241, 245, 253, 274, 279, 295, 338, 357, 372, 543, 608, 668, 829, 881, 1120, 1255, 1285, 1349, 1718, 1981, 2284, 2401, 4638, 24433, 38825, 68540, 72055, 72380, 72482 ]
3
[ 0, 6, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 3, 1, 4, 1, 3, 1, 0, 1, 3, 0, 1, 2, 0, 2, 3, 0, 2, 0, 2, 1, 0, 2, 3, 1, 3, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 5, 7, 2, 1, 2, 3, 2, 3, 5, 4, 0, 0, 9, 0, 0, 5, 0, 3, 5, 1, 0, 1, 3, 5, 1, 7, 1, 10, 9, 21, 12, 3, 24, 8, 2, 1, 4, 8, 21, 5, 16, 43, 19, 15, 171, 65, 60, 161, 52, 239, 135, 30, 64, 369, 263, 303, 117, 2237, 19795, 14392, 29715, 3515, 325, 102 ]
120
8,361
[ 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1 ]
[ 0, 1, 2, 2, 8, 24, 30, 30, 32, 33, 39, 45, 58, 58, 65, 68, 86, 107, 114, 115, 115, 122, 123, 130, 134, 172, 200, 223, 245, 300, 365, 367, 403, 516, 696, 701, 785, 799, 821, 1025, 1172, 1827, 1931, 2043, 2170, 2633, 4011, 6593, 6687, 8171, 8298, 10415, 11154, 11825, 13540, 13615, 16005, 16729, 16782, 18246, 22912, 28190, 35420, 36000, 36763, 56228, 80518, 109704, 116395, 210975, 249655, 260218, 388226 ]
3
[ 0, 1, 1, 0, 6, 16, 6, 0, 2, 1, 6, 6, 13, 0, 7, 3, 18, 21, 7, 1, 0, 7, 1, 7, 4, 38, 28, 23, 22, 55, 65, 2, 36, 113, 180, 5, 84, 14, 22, 204, 147, 655, 104, 112, 127, 463, 1378, 2582, 94, 1484, 127, 2117, 739, 671, 1715, 75, 2390, 724, 53, 1464, 4666, 5278, 7230, 580, 763, 19465, 24290, 29186, 6691, 94580, 38680, 10563, 128008 ]
73
8,362
[ 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0 ]
[ 0, 10, 11, 12, 19, 30, 49, 61, 62, 64, 66, 105, 116, 117, 127, 127, 128, 133, 162, 168, 180, 210, 226, 280, 293, 326, 347, 399, 402, 403, 419, 457, 569, 768, 825, 895, 992, 1026, 1162, 1165, 1199, 1415, 1505, 1552, 1758, 1806, 1890, 1928, 2394, 2622, 3021, 3302, 3932, 5066, 6144, 6548, 6717, 8406, 8731, 10352, 13450, 19728, 35258, 40605, 44095, 47378, 62369, 69866, 71431, 96260, 127122, 137678, 167081, 167213, 168695, 221275, 221395, 281608, 431718 ]
3
[ 0, 10, 1, 1, 7, 11, 19, 12, 1, 2, 2, 39, 11, 1, 10, 0, 1, 5, 29, 6, 12, 30, 16, 54, 13, 33, 21, 52, 3, 1, 16, 38, 112, 199, 57, 70, 97, 34, 136, 3, 34, 216, 90, 47, 206, 48, 84, 38, 466, 228, 399, 281, 630, 1134, 1078, 404, 169, 1689, 325, 1621, 3098, 6278, 15530, 5347, 3490, 3283, 14991, 7497, 1565, 24829, 30862, 10556, 29403, 132, 1482, 52580, 120, 60213, 150110 ]
79
8,363
[ 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0 ]
[ 0, 2, 2, 3, 10, 10, 10, 12, 13, 13, 15, 15, 16, 17, 18, 18, 18, 19, 20, 21, 21, 23, 24, 25, 25, 25, 27, 27, 29, 30, 30, 31, 31, 31, 31, 31, 33, 33, 33, 33, 34, 34, 34, 38, 38, 39, 39, 39, 40, 45, 45, 47, 47, 48, 48, 49, 50, 53, 54, 55, 58, 59, 61, 62, 62, 63, 63, 67, 67, 68, 69, 70, 70, 72, 73, 75, 75, 76, 76, 79, 79, 82, 85, 87, 88, 88, 89, 91, 91, 93, 96, 97, 98, 101, 103, 104, 106, 106, 112, 112, 114, 115, 116, 117, 119, 119, 121, 126, 127, 129, 130, 131, 135, 136, 146, 147, 148, 150, 153, 155, 157, 157, 160, 162, 170, 173, 196, 200, 206, 207, 212, 230, 232, 234, 235, 253, 277, 286, 294, 323, 336, 342, 349, 357, 377, 399, 405, 421, 490, 493, 500, 590, 603, 703, 743, 776, 830, 855, 907, 931, 968, 993, 1423, 1726, 1788, 1800, 2025, 2087, 2352, 2393, 2443, 2949, 3798, 3940, 4140, 4230, 4299, 4498, 5340, 5640, 5792, 6254, 7463, 9535, 9575, 9912, 10051, 10642, 11588, 13152, 14056, 15039, 17440, 20306, 20860, 26552, 27635, 30976, 33201, 37993, 38247, 69652, 79019, 79538, 88096, 91043, 93608, 93653, 96974, 97334, 99142, 99446, 100257, 100714, 100830, 101542, 103364, 104374, 105847, 108272, 113123, 115434, 115780, 116123, 118488, 120178, 121323, 136990, 164667, 169509, 170200, 205892, 205934, 264930, 346187, 357185, 357205 ]
3
[ 0, 2, 0, 1, 7, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 4, 0, 1, 0, 0, 1, 5, 0, 2, 0, 1, 0, 1, 1, 3, 1, 1, 3, 1, 2, 1, 0, 1, 0, 4, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 3, 0, 3, 3, 2, 1, 0, 1, 2, 0, 2, 3, 1, 1, 3, 2, 1, 2, 0, 6, 0, 2, 1, 1, 1, 2, 0, 2, 5, 1, 2, 1, 1, 4, 1, 10, 1, 1, 2, 3, 2, 2, 0, 3, 2, 8, 3, 23, 4, 6, 1, 5, 18, 2, 2, 1, 18, 24, 9, 8, 29, 13, 6, 7, 8, 20, 22, 6, 16, 69, 3, 7, 90, 13, 100, 40, 33, 54, 25, 52, 24, 37, 25, 430, 303, 62, 12, 225, 62, 265, 41, 50, 506, 849, 142, 200, 90, 69, 199, 842, 300, 152, 462, 1209, 2072, 40, 337, 139, 591, 946, 1564, 904, 983, 2401, 2866, 554, 5692, 1083, 3341, 2225, 4792, 254, 31405, 9367, 519, 8558, 2947, 2565, 45, 3321, 360, 1808, 304, 811, 457, 116, 712, 1822, 1010, 1473, 2425, 4851, 2311, 346, 343, 2365, 1690, 1145, 15667, 27677, 4842, 691, 35692, 42, 58996, 81257, 10998, 20 ]
237
8,364
[ 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1 ]
[ 0, 0, 9, 13, 56, 64, 88, 103, 113, 125, 163, 171, 189, 192, 202, 210, 229, 255, 287, 322, 363, 372, 372, 402, 410, 413, 431, 464, 468, 552, 634, 643, 657, 670, 684, 689, 799, 808, 812, 844, 880, 898, 918, 962, 983, 1090, 1096, 1097, 1175, 1184, 1196, 1229, 1231, 1234, 1280, 1287, 1311, 1370, 1370, 1423, 1423, 1447, 1447, 1492, 1555, 1574, 1577, 1642, 1707, 1720, 1782, 1803, 1808, 1845, 1856, 1857, 1953, 2015, 2158, 2167, 2189, 2264, 2383, 2401, 2507, 2528, 2535, 2670, 2699, 2728, 2728, 2818, 2875, 2917, 3010, 3012, 3137, 3220, 3459, 3575, 3578, 3668, 3988, 4174, 4181, 4366, 4635, 4642, 4850, 4974, 5053, 5433, 5623, 5731, 5841, 6103, 6189, 6348, 6591, 6852, 7092, 7199, 7450, 7472, 7797, 7831, 8295, 8475, 8599, 9558, 9930, 10003, 11130, 11703, 12673, 13636, 13712, 15610, 15828, 16224, 17607, 20113, 24355, 32694, 32760, 45857, 50404, 76044, 110963, 114004, 117358, 147342, 153359, 230299, 232687 ]
3
[ 0, 0, 9, 4, 43, 8, 24, 15, 10, 12, 38, 8, 18, 3, 10, 8, 19, 26, 32, 35, 41, 9, 0, 30, 8, 3, 18, 33, 4, 84, 82, 9, 14, 13, 14, 5, 110, 9, 4, 32, 36, 18, 20, 44, 21, 107, 6, 1, 78, 9, 12, 33, 2, 3, 46, 7, 24, 59, 0, 53, 0, 24, 0, 45, 63, 19, 3, 65, 65, 13, 62, 21, 5, 37, 11, 1, 96, 62, 143, 9, 22, 75, 119, 18, 106, 21, 7, 135, 29, 29, 0, 90, 57, 42, 93, 2, 125, 83, 239, 116, 3, 90, 320, 186, 7, 185, 269, 7, 208, 124, 79, 380, 190, 108, 110, 262, 86, 159, 243, 261, 240, 107, 251, 22, 325, 34, 464, 180, 124, 959, 372, 73, 1127, 573, 970, 963, 76, 1898, 218, 396, 1383, 2506, 4242, 8339, 66, 13097, 4547, 25640, 34919, 3041, 3354, 29984, 6017, 76940, 2388 ]
155
8,365
[ 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0 ]
[ 0, 12, 33, 63, 65, 79, 301, 339, 347, 347, 386, 495, 499, 618, 647, 980, 1380, 1412, 1899, 2307, 2648, 2981, 3096, 3333, 3953, 4145, 4268, 4357, 4715, 4849, 5481, 5517, 5878, 6447, 7386, 7458, 7499, 7657, 7689, 7967, 8810, 8987, 9037, 9360, 9830, 9892, 11369, 11633, 11993, 12953, 13089, 14324, 14691, 14921, 15128, 15346, 15588, 15941, 16134, 16278, 21217, 22401, 22608, 23220, 23498, 23545, 23682, 25656, 27480, 29641, 29684, 30363, 31588, 32824, 33066, 35384, 36352, 38899, 50243, 53182, 63477, 65037, 65256, 66506, 69333, 70821, 72228, 75590, 77870, 78309, 78410, 78992, 87096, 91544, 94740, 107647, 118554, 152359, 156047, 158426, 163124, 163606, 181284, 185145, 240864, 259218, 282974, 361379, 361430, 371504, 374581, 399173, 438642, 485279, 520352, 530348 ]
3
[ 0, 12, 21, 30, 2, 14, 222, 38, 8, 0, 39, 109, 4, 119, 29, 333, 400, 32, 487, 408, 341, 333, 115, 237, 620, 192, 123, 89, 358, 134, 632, 36, 361, 569, 939, 72, 41, 158, 32, 278, 843, 177, 50, 323, 470, 62, 1477, 264, 360, 960, 136, 1235, 367, 230, 207, 218, 242, 353, 193, 144, 4939, 1184, 207, 612, 278, 47, 137, 1974, 1824, 2161, 43, 679, 1225, 1236, 242, 2318, 968, 2547, 11344, 2939, 10295, 1560, 219, 1250, 2827, 1488, 1407, 3362, 2280, 439, 101, 582, 8104, 4448, 3196, 12907, 10907, 33805, 3688, 2379, 4698, 482, 17678, 3861, 55719, 18354, 23756, 78405, 51, 10074, 3077, 24592, 39469, 46637, 35073, 9996 ]
116
8,366
[ 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0 ]
[ 0, 2, 23, 33, 34, 38, 43, 55, 58, 58, 61, 65, 73, 77, 83, 103, 120, 126, 129, 130, 142, 153, 158, 211, 236, 241, 262, 273, 308, 311, 416, 427, 449, 452, 463, 493, 546, 547, 580, 625, 645, 681, 771, 1094, 1106, 1175, 1211, 1400, 1842, 1893, 1936, 3242, 3366, 3613, 4208, 4852, 11140, 14910, 15907, 16749, 19666, 21623, 23326, 30436, 31811, 34614, 39584, 45159, 56633, 71134 ]
3
[ 0, 2, 21, 10, 1, 4, 5, 12, 3, 0, 3, 4, 8, 4, 6, 20, 17, 6, 3, 1, 12, 11, 5, 53, 25, 5, 21, 11, 35, 3, 105, 11, 22, 3, 11, 30, 53, 1, 33, 45, 20, 36, 90, 323, 12, 69, 36, 189, 442, 51, 43, 1306, 124, 247, 595, 644, 6288, 3770, 997, 842, 2917, 1957, 1703, 7110, 1375, 2803, 4970, 5575, 11474, 14501 ]
70
8,367
[ 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1 ]
[ 0, 2, 3, 13, 18, 26, 29, 33, 36, 41, 41, 42, 47, 57, 58, 59, 73, 78, 83, 91, 98, 118, 127, 134, 160, 161, 306, 326, 329, 361, 369, 416, 429, 438, 493, 664, 798, 827, 875, 909, 987, 1310, 1352, 1674, 1750, 2176, 2205, 2583, 2645, 2721, 2727, 2736, 2739, 2741, 2752, 2759, 2767, 2769, 2773, 2783, 2838, 2854, 2856, 2873, 2878, 2954, 3083, 3449, 3489, 3577, 3887, 4357, 5133, 7094, 7113, 7155, 7227, 7456, 7918, 14391, 14391, 19497, 22500, 25535, 44986, 64388, 68650, 107645, 108453, 150359, 150645, 167667, 167710, 171807 ]
3
[ 0, 2, 1, 10, 5, 8, 3, 4, 3, 5, 0, 1, 5, 10, 1, 1, 14, 5, 5, 8, 7, 20, 9, 7, 26, 1, 145, 20, 3, 32, 8, 47, 13, 9, 55, 171, 134, 29, 48, 34, 78, 323, 42, 322, 76, 426, 29, 378, 62, 76, 6, 9, 3, 2, 11, 7, 8, 2, 4, 10, 55, 16, 2, 17, 5, 76, 129, 366, 40, 88, 310, 470, 776, 1961, 19, 42, 72, 229, 462, 6473, 0, 5106, 3003, 3035, 19451, 19402, 4262, 38995, 808, 41906, 286, 17022, 43, 4097 ]
94
8,368
[ 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0 ]
[ 0, 17, 25, 28, 71, 84, 92, 96, 111, 111, 139, 146, 167, 168, 173, 177, 184, 184, 185, 188, 202, 211, 214, 222, 235, 246, 263, 264, 318, 325, 326, 335, 340, 364, 405, 421, 454, 474, 483, 486, 531, 535, 537, 552, 553, 563, 582, 644, 661, 682, 714, 716, 733, 748, 759, 795, 821, 831, 839, 862, 873, 918, 949, 1076, 1084, 1166, 1213, 1227, 1237, 1300, 1300, 1311, 1311, 1320, 1320, 1387, 1459, 1512, 1545, 1598, 1837, 1926, 1950, 2035, 2324, 3825, 5306, 6902, 7016, 7088, 9658 ]
3
[ 0, 17, 8, 3, 43, 13, 8, 4, 15, 0, 28, 7, 21, 1, 5, 4, 7, 0, 1, 3, 14, 9, 3, 8, 13, 11, 17, 1, 54, 7, 1, 9, 5, 24, 41, 16, 33, 20, 9, 3, 45, 4, 2, 15, 1, 10, 19, 62, 17, 21, 32, 2, 17, 15, 11, 36, 26, 10, 8, 23, 11, 45, 31, 127, 8, 82, 47, 14, 10, 63, 0, 11, 0, 9, 0, 67, 72, 53, 33, 53, 239, 89, 24, 85, 289, 1501, 1481, 1596, 114, 72, 2570 ]
91
8,369
[ 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
[ 0, 0, 9, 18, 21, 25, 35, 42, 62, 68, 77, 86, 95, 98, 104, 105, 121, 125, 132, 143, 209, 220, 288, 356, 363, 411, 490, 518, 548, 553, 1039, 1084, 2293, 2316, 3123, 4041, 4595, 5441, 5752, 12899, 13470, 15105, 17438, 23698, 24193, 27490, 42277, 43783, 53991, 141054, 182220, 186387, 321587 ]
3
[ 0, 0, 9, 9, 3, 4, 10, 7, 20, 6, 9, 9, 9, 3, 6, 1, 16, 4, 7, 11, 66, 11, 68, 68, 7, 48, 79, 28, 30, 5, 486, 45, 1209, 23, 807, 918, 554, 846, 311, 7147, 571, 1635, 2333, 6260, 495, 3297, 14787, 1506, 10208, 87063, 41166, 4167, 135200 ]
53
8,370
[ 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2 ]
[ 0, 4, 4, 10, 14, 21, 21, 30, 34, 36, 37, 40, 40, 45, 48, 93, 98, 115, 119, 123, 127, 144, 166, 181, 188, 203, 229, 295, 344, 351, 353, 402, 421, 471, 482, 625, 630, 809, 816, 1076, 1090, 1124, 1157, 1781, 1950, 2131, 2265, 2273, 3406, 9619, 64475 ]
3
[ 0, 4, 0, 6, 4, 7, 0, 9, 4, 2, 1, 3, 0, 5, 3, 45, 5, 17, 4, 4, 4, 17, 22, 15, 7, 15, 26, 66, 49, 7, 2, 49, 19, 50, 11, 143, 5, 179, 7, 260, 14, 34, 33, 624, 169, 181, 134, 8, 1133, 6213, 54856 ]
51
8,371
[ 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1 ]
[ 0, 11, 18, 34, 36, 38, 44, 44, 72, 82, 117, 132, 134, 152, 193, 225, 231, 244, 299, 309, 315, 382, 435, 438, 456, 491, 694, 706, 751, 767, 827, 884, 939, 968, 1081, 1098, 1119, 1156, 1356, 1531, 1629, 1661, 1892, 2348, 2488, 2898, 3061, 3899, 3930, 4683, 4761, 5205, 8038, 10601, 16768, 17344, 17828, 17976, 18995, 21106, 21167, 21235 ]
3
[ 0, 11, 7, 16, 2, 2, 6, 0, 28, 10, 35, 15, 2, 18, 41, 32, 6, 13, 55, 10, 6, 67, 53, 3, 18, 35, 203, 12, 45, 16, 60, 57, 55, 29, 113, 17, 21, 37, 200, 175, 98, 32, 231, 456, 140, 410, 163, 838, 31, 753, 78, 444, 2833, 2563, 6167, 576, 484, 148, 1019, 2111, 61, 68 ]
62
8,372
[ 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1 ]
[ 0, 18, 20, 23, 24, 24, 71, 98, 142, 164, 185, 202, 266, 328, 369, 383, 448, 448, 467, 481, 499, 623, 838, 877, 894, 1064, 1096, 1177, 1350, 1453, 1661, 2217, 2441, 2677, 2814, 2866, 3678, 3684, 4207, 4357, 4497, 5608, 6211, 6402, 6966, 7923, 8472, 14194, 14811, 14864, 15305, 16468, 19255, 22900, 27533 ]
3
[ 0, 18, 2, 3, 1, 0, 47, 27, 44, 22, 21, 17, 64, 62, 41, 14, 65, 0, 19, 14, 18, 124, 215, 39, 17, 170, 32, 81, 173, 103, 208, 556, 224, 236, 137, 52, 812, 6, 523, 150, 140, 1111, 603, 191, 564, 957, 549, 5722, 617, 53, 441, 1163, 2787, 3645, 4633 ]
55
8,373
[ 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ]
[ 0, 6, 34, 42, 43, 51, 72, 101, 165, 170, 170, 191, 208, 237, 260, 341, 406, 432, 476, 521, 610, 645, 656, 673, 763, 825, 922, 1064, 1175, 1186, 1222, 1295, 1608, 1792, 1893, 2178, 2178, 2313, 2455, 2724, 3082, 3163, 3176, 3302, 3605, 3793, 4469, 4496, 4556, 5348, 5708, 5899, 6715, 7714, 7967, 8709, 8845, 12044, 12303, 12836, 17442, 17935, 34133, 49020, 55428, 58165, 72624, 111888 ]
3
[ 0, 6, 28, 8, 1, 8, 21, 29, 64, 5, 0, 21, 17, 29, 23, 81, 65, 26, 44, 45, 89, 35, 11, 17, 90, 62, 97, 142, 111, 11, 36, 73, 313, 184, 101, 285, 0, 135, 142, 269, 358, 81, 13, 126, 303, 188, 676, 27, 60, 792, 360, 191, 816, 999, 253, 742, 136, 3199, 259, 533, 4606, 493, 16198, 14887, 6408, 2737, 14459, 39264 ]
68
8,374
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0 ]
[ 0, 3, 7, 15, 40, 46, 46, 46, 49, 55, 64, 70, 72, 77, 96, 102, 118, 147, 148, 186, 203, 223, 263, 272, 335, 384, 397, 444, 453, 470, 488, 508, 572, 689, 694, 716, 744, 816, 912, 949, 1013, 1044, 1125, 1144, 1175, 1187, 1248, 1311, 1520, 1524, 1537, 1614, 1662, 1720, 1868, 1901, 1938, 1955, 1966, 1998, 2170, 2335, 2585, 2592, 2691, 2847, 2969, 3042, 3057, 3065, 3130, 3134, 3208, 3212, 3470, 3500, 3679, 4016, 4110, 4138, 4374, 4469, 4730, 4746, 4765, 4996, 5020, 5199, 5209, 5553, 6199, 6253, 6279, 6337, 7262, 7604, 9295, 11841, 13380, 13627, 17896, 35949, 45913, 46237, 64419, 67908, 71412, 73029, 73415, 74418, 121305 ]
3
[ 0, 3, 4, 8, 25, 6, 0, 0, 3, 6, 9, 6, 2, 5, 19, 6, 16, 29, 1, 38, 17, 20, 40, 9, 63, 49, 13, 47, 9, 17, 18, 20, 64, 117, 5, 22, 28, 72, 96, 37, 64, 31, 81, 19, 31, 12, 61, 63, 209, 4, 13, 77, 48, 58, 148, 33, 37, 17, 11, 32, 172, 165, 250, 7, 99, 156, 122, 73, 15, 8, 65, 4, 74, 4, 258, 30, 179, 337, 94, 28, 236, 95, 261, 16, 19, 231, 24, 179, 10, 344, 646, 54, 26, 58, 925, 342, 1691, 2546, 1539, 247, 4269, 18053, 9964, 324, 18182, 3489, 3504, 1617, 386, 1003, 46887 ]
111
8,375
[ 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0 ]
[ 0, 18, 18, 48, 51, 53, 76, 96, 97, 118, 146, 179, 227, 230, 234, 248, 259, 321, 399, 421, 460, 490, 506, 517, 525, 561, 578, 580, 582, 598, 629, 802, 944, 990, 1546, 1656, 1817, 1926, 2023, 2035, 2400, 2425, 2451, 2511, 3336, 3616, 3761, 4140, 4269, 4411, 5867, 5937, 6115, 6424, 7779, 9018, 9215, 9999, 14402, 24204, 30768, 37215, 37316, 38360, 38430, 39325, 120736, 179485, 291890 ]
3
[ 0, 18, 0, 30, 3, 2, 23, 20, 1, 21, 28, 33, 48, 3, 4, 14, 11, 62, 78, 22, 39, 30, 16, 11, 8, 36, 17, 2, 2, 16, 31, 173, 142, 46, 556, 110, 161, 109, 97, 12, 365, 25, 26, 60, 825, 280, 145, 379, 129, 142, 1456, 70, 178, 309, 1355, 1239, 197, 784, 4403, 9802, 6564, 6447, 101, 1044, 70, 895, 81411, 58749, 112405 ]
69
8,376
[ 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0 ]
[ 0, 0, 1, 2, 2, 3, 4, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 14, 14, 14, 15, 15, 15, 15, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 21, 21, 21, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 26, 29, 29, 30, 30, 31, 31, 31, 33, 33, 33, 34, 35, 36, 36, 36, 37, 37, 38, 38, 38, 39, 40, 42, 43, 43, 43, 43, 44, 44, 45, 45, 50, 52, 53, 53, 57, 57, 57, 59, 61, 62, 117, 120, 122, 124, 128, 134, 136, 136, 140, 140, 147, 166, 167, 167, 170, 181, 184, 184, 186, 193, 203, 205, 214, 227, 237, 250, 270, 370, 401, 416, 615, 651, 653, 858, 866, 886, 898, 941, 959, 1030, 1035, 1054, 1054, 1073, 1077, 1095, 1298, 1301, 1329, 1616, 1635, 1910, 2241, 2305, 2549, 2705, 3451, 5693, 397841, 515498, 515776, 515796, 515798, 515814 ]
3
[ 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 3, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 5, 2, 1, 0, 4, 0, 0, 2, 2, 1, 55, 3, 2, 2, 4, 6, 2, 0, 4, 0, 7, 19, 1, 0, 3, 11, 3, 0, 2, 7, 10, 2, 9, 13, 10, 13, 20, 100, 31, 15, 199, 36, 2, 205, 8, 20, 12, 43, 18, 71, 5, 19, 0, 19, 4, 18, 203, 3, 28, 287, 19, 275, 331, 64, 244, 156, 746, 2242, 392148, 117657, 278, 20, 2, 16 ]
178
8,377
[ 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1 ]
[ 0, 8, 13, 18, 138, 177, 370, 493, 582, 620, 631, 662, 676, 678, 680, 704, 727, 730, 733, 738, 810, 817, 831, 832, 936, 953, 965, 985, 1047, 1154, 1187, 1306, 1324, 1333, 1337, 1342, 1343, 1345, 1350, 1354, 1355, 1359, 1360, 1361, 1368, 1375, 1379, 1385, 1386, 1386, 1389, 1395, 1396, 1396, 1405, 1406, 1408, 1414, 1416, 1416, 1419, 1484, 1485, 1492, 1494, 1494, 1496, 1498, 1501, 1521, 1524, 1527, 1531, 1533, 1534, 1543, 1553, 1573, 1575, 1580, 1592, 1593, 1597, 1598, 1609, 1618, 1621, 1625, 1636, 1650, 1652, 1653, 1660, 1671, 1675, 1680, 1692, 1692, 1721, 1730, 1855, 1856, 2006, 2031, 2178, 2281, 2663, 2696, 2718, 2773, 2778, 2929, 3169, 3185, 3197, 3228, 3235, 3238, 3261, 3265, 3283, 3290, 3335, 3431, 3438, 3521, 3525, 3551, 3579, 3654, 3678, 3679, 3695, 3698, 3713, 3715, 3762, 3788, 3803, 3812, 3813, 3845, 3845, 3920, 3936, 3961, 3969, 3972, 4002, 4018, 4063, 4083, 4115, 4121, 4209, 4226, 4272, 4346, 4373, 4556, 4854, 4998, 5034, 5510, 5517, 5532, 5539, 5540, 7722, 8167, 8488, 8880, 11222, 11306, 15674, 15776, 15801, 15818, 15882, 16040, 16409, 16479, 16486, 16487, 16501, 16505, 16515, 16527, 16528, 16536, 16541, 16543, 16554, 16563, 16593, 16846, 18122, 20776, 20831 ]
3
[ 0, 8, 5, 5, 120, 39, 193, 123, 89, 38, 11, 31, 14, 2, 2, 24, 23, 3, 3, 5, 72, 7, 14, 1, 104, 17, 12, 20, 62, 107, 33, 119, 18, 9, 4, 5, 1, 2, 5, 4, 1, 4, 1, 1, 7, 7, 4, 6, 1, 0, 3, 6, 1, 0, 9, 1, 2, 6, 2, 0, 3, 65, 1, 7, 2, 0, 2, 2, 3, 20, 3, 3, 4, 2, 1, 9, 10, 20, 2, 5, 12, 1, 4, 1, 11, 9, 3, 4, 11, 14, 2, 1, 7, 11, 4, 5, 12, 0, 29, 9, 125, 1, 150, 25, 147, 103, 382, 33, 22, 55, 5, 151, 240, 16, 12, 31, 7, 3, 23, 4, 18, 7, 45, 96, 7, 83, 4, 26, 28, 75, 24, 1, 16, 3, 15, 2, 47, 26, 15, 9, 1, 32, 0, 75, 16, 25, 8, 3, 30, 16, 45, 20, 32, 6, 88, 17, 46, 74, 27, 183, 298, 144, 36, 476, 7, 15, 7, 1, 2182, 445, 321, 392, 2342, 84, 4368, 102, 25, 17, 64, 158, 369, 70, 7, 1, 14, 4, 10, 12, 1, 8, 5, 2, 11, 9, 30, 253, 1276, 2654, 55 ]
199
8,378
[ 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1 ]
[ 0, 8, 9, 15, 22, 23, 38, 42, 47, 50, 52, 53, 57, 69, 70, 71, 79, 79, 88, 90, 95, 96, 98, 118, 119, 133, 136, 142, 150, 150, 153, 157, 158, 159, 169, 170, 184, 194, 211, 214, 217, 219, 221, 251, 264, 265, 266, 270, 273, 279, 290, 295, 296, 296, 298, 302, 306, 306, 339, 342, 351, 351, 361, 364, 375, 383, 403, 406, 419, 448, 451, 459, 463, 476, 487, 535, 539, 551, 580, 581, 608, 619, 644, 647, 649, 659, 692, 700, 710, 770, 837, 841, 861, 902, 908, 930, 938, 951, 955, 955, 991, 995, 1005, 1022, 1046, 1057, 1062, 1156, 1166, 1237, 1253, 1263, 1281, 1345, 1372, 1434, 1477, 1522, 1531, 1559, 1612, 1630, 1645, 1695, 1751, 1770, 1776, 1777, 1795, 1812, 1820, 1851, 1904, 1971, 2071, 2191, 2238, 2297, 2346, 2381, 2406, 2589, 2637, 2983, 3128, 3131, 3182, 3532, 3798, 4006, 4085, 4289, 4462, 4820, 4964, 5162, 5338, 5481, 5575, 5713, 6160, 6312, 6334, 6414, 6783, 6793, 6866, 8435, 9109, 9804, 10980, 11800, 11911, 12152, 12371, 13820, 19516, 22454, 24497, 24787, 25078, 28343, 28343, 30448, 32567, 33066, 33395, 33954, 35923, 39825, 42536, 42655, 50124, 50288, 51288, 53543, 53823, 55069, 59034, 60888, 61560, 70117, 70281, 73343, 86245, 87237, 94448, 129998, 138981, 151825, 173483 ]
3
[ 0, 8, 1, 6, 7, 1, 15, 4, 5, 3, 2, 1, 4, 12, 1, 1, 8, 0, 9, 2, 5, 1, 2, 20, 1, 14, 3, 6, 8, 0, 3, 4, 1, 1, 10, 1, 14, 10, 17, 3, 3, 2, 2, 30, 13, 1, 1, 4, 3, 6, 11, 5, 1, 0, 2, 4, 4, 0, 33, 3, 9, 0, 10, 3, 11, 8, 20, 3, 13, 29, 3, 8, 4, 13, 11, 48, 4, 12, 29, 1, 27, 11, 25, 3, 2, 10, 33, 8, 10, 60, 67, 4, 20, 41, 6, 22, 8, 13, 4, 0, 36, 4, 10, 17, 24, 11, 5, 94, 10, 71, 16, 10, 18, 64, 27, 62, 43, 45, 9, 28, 53, 18, 15, 50, 56, 19, 6, 1, 18, 17, 8, 31, 53, 67, 100, 120, 47, 59, 49, 35, 25, 183, 48, 346, 145, 3, 51, 350, 266, 208, 79, 204, 173, 358, 144, 198, 176, 143, 94, 138, 447, 152, 22, 80, 369, 10, 73, 1569, 674, 695, 1176, 820, 111, 241, 219, 1449, 5696, 2938, 2043, 290, 291, 3265, 0, 2105, 2119, 499, 329, 559, 1969, 3902, 2711, 119, 7469, 164, 1000, 2255, 280, 1246, 3965, 1854, 672, 8557, 164, 3062, 12902, 992, 7211, 35550, 8983, 12844, 21658 ]
211
8,379
[ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 6, 13, 14, 15, 15, 21, 22, 22, 23, 23, 23, 28, 32, 37, 49, 57, 57, 68, 75, 86, 89, 98, 101, 112, 113, 116, 119, 123, 126, 135, 138, 139, 151, 153, 162, 162, 171, 173, 179, 184, 203, 220, 236, 245, 268, 298, 307, 317, 368, 386, 429, 439, 455, 482, 489, 508, 523, 539, 590, 786, 819, 865, 897, 998, 1127, 1296, 1375, 1519, 1731, 1751, 1755, 1892, 1899, 1936, 1941, 1943, 1958, 2041, 2090, 2289, 2300, 2335, 2530, 2652, 2695, 2697, 2819, 3042, 3284, 3319, 3397, 3605, 4012, 4752, 5489, 7163, 7562, 8190, 9151, 9564, 10453, 10523, 10935, 10983, 13505, 13634, 14282, 19523, 20025, 21425, 21847, 22150, 28036, 29011, 30735, 35045, 35508, 38605, 40837, 41272, 49942, 55006, 59684, 63640, 70132, 70612, 71466, 71519, 71543, 71547, 71548, 71606, 71614, 71623, 71642, 71644, 71706, 71749, 71774, 71801, 71804, 71812, 71820, 71838, 71942, 72032, 72123, 72164, 72993, 73654, 75734, 79596, 80089, 83695, 85273, 99905, 103064, 106058, 109572, 111387, 112787, 131028, 145726, 163835, 230063, 237622, 250265, 408336, 566643, 596755 ]
3
[ 0, 6, 7, 1, 1, 0, 6, 1, 0, 1, 0, 0, 5, 4, 5, 12, 8, 0, 11, 7, 11, 3, 9, 3, 11, 1, 3, 3, 4, 3, 9, 3, 1, 12, 2, 9, 0, 9, 2, 6, 5, 19, 17, 16, 9, 23, 30, 9, 10, 51, 18, 43, 10, 16, 27, 7, 19, 15, 16, 51, 196, 33, 46, 32, 101, 129, 169, 79, 144, 212, 20, 4, 137, 7, 37, 5, 2, 15, 83, 49, 199, 11, 35, 195, 122, 43, 2, 122, 223, 242, 35, 78, 208, 407, 740, 737, 1674, 399, 628, 961, 413, 889, 70, 412, 48, 2522, 129, 648, 5241, 502, 1400, 422, 303, 5886, 975, 1724, 4310, 463, 3097, 2232, 435, 8670, 5064, 4678, 3956, 6492, 480, 854, 53, 24, 4, 1, 58, 8, 9, 19, 2, 62, 43, 25, 27, 3, 8, 8, 18, 104, 90, 91, 41, 829, 661, 2080, 3862, 493, 3606, 1578, 14632, 3159, 2994, 3514, 1815, 1400, 18241, 14698, 18109, 66228, 7559, 12643, 158071, 158307, 30112 ]
171
8,380
[ 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1 ]
[ 0, 0, 3, 4, 5, 7, 16, 24, 35, 46, 46, 47, 51, 54, 56, 67, 69, 97, 125, 127, 133, 146, 173, 175, 180, 233, 268, 367, 412, 429, 430, 475, 575, 602, 703, 903, 905, 1283, 2003, 2049, 2065, 2115, 2247, 2286, 3581, 7161, 15598, 16065, 17995, 21088, 38080, 39423, 46219, 50561 ]
3
[ 0, 0, 3, 1, 1, 2, 9, 8, 11, 11, 0, 1, 4, 3, 2, 11, 2, 28, 28, 2, 6, 13, 27, 2, 5, 53, 35, 99, 45, 17, 1, 45, 100, 27, 101, 200, 2, 378, 720, 46, 16, 50, 132, 39, 1295, 3580, 8437, 467, 1930, 3093, 16992, 1343, 6796, 4342 ]
54
8,381
[ 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ]
[ 0, 118, 294, 351, 403, 460, 580, 599, 601, 613, 616, 617, 642, 646, 653, 663, 664, 666, 684, 703, 705, 710, 723, 753, 786, 796, 828, 836, 839, 845, 853, 854, 857, 896, 899, 926, 935, 954, 994, 1003, 1017, 1022, 1048, 1066, 1071, 1140, 1148, 1169, 1220, 1436, 1465, 1674, 1799, 1903, 2209, 2213, 2360, 2936, 3000, 3002, 3096, 3318, 3584, 3602, 3719, 4456, 5158, 5372, 6526, 6890, 6982, 7335, 7389, 8315, 9660, 10005, 10878, 12915, 13227, 15341, 15838, 16194, 19241, 19437, 34283, 70171 ]
3
[ 0, 118, 176, 57, 52, 57, 120, 19, 2, 12, 3, 1, 25, 4, 7, 10, 1, 2, 18, 19, 2, 5, 13, 30, 33, 10, 32, 8, 3, 6, 8, 1, 3, 39, 3, 27, 9, 19, 40, 9, 14, 5, 26, 18, 5, 69, 8, 21, 51, 216, 29, 209, 125, 104, 306, 4, 147, 576, 64, 2, 94, 222, 266, 18, 117, 737, 702, 214, 1154, 364, 92, 353, 54, 926, 1345, 345, 873, 2037, 312, 2114, 497, 356, 3047, 196, 14846, 35888 ]
86
8,382
[ 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1 ]
[ 0, 51, 63, 77, 216, 217, 223, 297, 327, 354, 411, 505, 671, 1022, 1041, 1108, 1179, 1238, 1282, 1395, 1896, 2111, 2189, 2746, 3067, 3289, 4798, 6250, 8967, 11503, 13576, 14527, 16285, 17759, 18288, 19197, 20465, 20533, 25418, 25853, 28408, 28833, 28921, 29463, 29552, 30073, 30796, 31389, 36792, 37220, 39050, 71368 ]
3
[ 0, 51, 12, 14, 139, 1, 6, 74, 30, 27, 57, 94, 166, 351, 19, 67, 71, 59, 44, 113, 501, 215, 78, 557, 321, 222, 1509, 1452, 2717, 2536, 2073, 951, 1758, 1474, 529, 909, 1268, 68, 4885, 435, 2555, 425, 88, 542, 89, 521, 723, 593, 5403, 428, 1830, 32318 ]
52
8,383
[ 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0 ]
[ 0, 9, 17, 20, 34, 39, 39, 40, 47, 53, 56, 70, 72, 82, 104, 108, 128, 132, 153, 163, 187, 198, 198, 224, 233, 234, 246, 265, 284, 300, 303, 329, 432, 440, 445, 447, 509, 519, 595, 608, 860, 1068, 1294, 1424, 1822, 2008, 2028, 2157, 2256, 3313, 3351, 3893, 4432, 4562, 7007, 8941, 9238, 10274, 11526, 14035, 15084, 19939, 21758, 30281, 46244, 63276, 64428, 73340, 75005, 77303, 79416, 83104, 99837, 100971 ]
3
[ 0, 9, 8, 3, 14, 5, 0, 1, 7, 6, 3, 14, 2, 10, 22, 4, 20, 4, 21, 10, 24, 11, 0, 26, 9, 1, 12, 19, 19, 16, 3, 26, 103, 8, 5, 2, 62, 10, 76, 13, 252, 208, 226, 130, 398, 186, 20, 129, 99, 1057, 38, 542, 539, 130, 2445, 1934, 297, 1036, 1252, 2509, 1049, 4855, 1819, 8523, 15963, 17032, 1152, 8912, 1665, 2298, 2113, 3688, 16733, 1134 ]
74
8,384
[ 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1 ]
[ 0, 8, 15, 40, 47, 51, 54, 60, 68, 73, 73, 140, 141, 154, 158, 164, 172, 177, 189, 223, 228, 259, 263, 265, 311, 323, 380, 423, 448, 452, 452, 456, 479, 507, 540, 587, 612, 848, 955, 961, 1006, 1134, 1222, 1481, 1936, 2645, 2834, 3438, 3987, 4348, 6719, 7776, 7986, 13705, 14751, 20702 ]
3
[ 0, 8, 7, 25, 7, 4, 3, 6, 8, 5, 0, 67, 1, 13, 4, 6, 8, 5, 12, 34, 5, 31, 4, 2, 46, 12, 57, 43, 25, 4, 0, 4, 23, 28, 33, 47, 25, 236, 107, 6, 45, 128, 88, 259, 455, 709, 189, 604, 549, 361, 2371, 1057, 210, 5719, 1046, 5951 ]
56
8,385
[ 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0 ]
[ 0, 12, 18, 27, 30, 52, 61, 68, 75, 94, 119, 136, 146, 296, 364, 479, 823, 880, 1091, 1305, 1647, 1729, 1744, 1831, 1869, 2216, 2238, 2281, 2510, 2717, 3526, 3565, 4299, 4544, 5916, 5993, 6090, 6331, 6875, 7953, 9732, 10887, 10994, 12729, 13581, 15967, 16148, 20044, 25190, 29739, 30725, 74780, 87424, 126023, 168463 ]
3
[ 0, 12, 6, 9, 3, 22, 9, 7, 7, 19, 25, 17, 10, 150, 68, 115, 344, 57, 211, 214, 342, 82, 15, 87, 38, 347, 22, 43, 229, 207, 809, 39, 734, 245, 1372, 77, 97, 241, 544, 1078, 1779, 1155, 107, 1735, 852, 2386, 181, 3896, 5146, 4549, 986, 44055, 12644, 38599, 42440 ]
55
8,386
[ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 1, 25, 37, 92, 105, 141, 142, 146, 154, 159, 159, 163, 192, 201, 232, 236, 287, 299, 305, 305, 320, 350, 384, 405, 416, 440, 503, 507, 514, 541, 544, 686, 696, 1005, 1072, 1088, 1110, 1167, 1179, 1281, 1285, 1306, 1315, 1318, 1340, 1347, 1354, 1356, 1357, 1358, 1380, 1388, 1392, 1396, 1402, 1410, 1424, 1435, 1436, 1446, 1454, 1455, 1457, 1464, 1471, 1476, 1499, 1509, 1512, 1513, 1523, 1526, 1535, 1542, 1552, 1575, 1647, 1648, 1654, 1660, 1735, 1748, 1762, 1779, 1789, 1816, 1822, 1887, 1897, 1918, 1936, 1955, 2080, 2105, 2127, 2177, 2188, 2222, 2268, 2278, 2296, 2301, 2350, 2358, 2371, 2381, 2481, 2484, 2514, 2523, 2546, 2647, 2679, 2694, 2733, 2737, 2797, 2799, 2825, 2857, 2917, 2933, 2947, 3201, 3287, 3335, 3376, 3377, 3445, 3551, 3602, 3677, 3713, 3755, 3881, 3904, 3978, 4230, 4660, 4674, 4809, 4944, 5050, 5122, 5411, 5571, 5687, 5733, 5862, 5952, 6359, 6377, 6604, 6608, 6732, 6748, 6815, 7000, 7031, 7050, 7543, 7875, 7956, 7981, 8681, 8702, 8871, 8917, 9062, 9128, 9245, 9380, 9669, 9916, 10110, 10343, 10620, 11742, 13226, 13466, 13849, 13851, 14336, 14434, 14887, 14920, 14970, 16084, 16176, 16251, 16355, 16373, 16447, 17010, 17102, 17121, 17445, 17594, 18011, 18094, 18129, 18392, 18486, 18626, 18884, 18898, 19029, 19303, 20093, 20438, 20601, 21364, 21960, 22389, 23383, 24072, 24556, 24559, 24865, 26236, 27167, 28194, 28764, 29515, 32331, 38865, 41982, 43126, 43216, 45846, 50429, 51429, 60332, 83629, 83911, 87783, 90438, 104675, 105797, 106460, 211435, 277334 ]
3
[ 0, 1, 24, 12, 55, 13, 36, 1, 4, 8, 5, 0, 4, 29, 9, 31, 4, 51, 12, 6, 0, 15, 30, 34, 21, 11, 24, 63, 4, 7, 27, 3, 142, 10, 309, 67, 16, 22, 57, 12, 102, 4, 21, 9, 3, 22, 7, 7, 2, 1, 1, 22, 8, 4, 4, 6, 8, 14, 11, 1, 10, 8, 1, 2, 7, 7, 5, 23, 10, 3, 1, 10, 3, 9, 7, 10, 23, 72, 1, 6, 6, 75, 13, 14, 17, 10, 27, 6, 65, 10, 21, 18, 19, 125, 25, 22, 50, 11, 34, 46, 10, 18, 5, 49, 8, 13, 10, 100, 3, 30, 9, 23, 101, 32, 15, 39, 4, 60, 2, 26, 32, 60, 16, 14, 254, 86, 48, 41, 1, 68, 106, 51, 75, 36, 42, 126, 23, 74, 252, 430, 14, 135, 135, 106, 72, 289, 160, 116, 46, 129, 90, 407, 18, 227, 4, 124, 16, 67, 185, 31, 19, 493, 332, 81, 25, 700, 21, 169, 46, 145, 66, 117, 135, 289, 247, 194, 233, 277, 1122, 1484, 240, 383, 2, 485, 98, 453, 33, 50, 1114, 92, 75, 104, 18, 74, 563, 92, 19, 324, 149, 417, 83, 35, 263, 94, 140, 258, 14, 131, 274, 790, 345, 163, 763, 596, 429, 994, 689, 484, 3, 306, 1371, 931, 1027, 570, 751, 2816, 6534, 3117, 1144, 90, 2630, 4583, 1000, 8903, 23297, 282, 3872, 2655, 14237, 1122, 663, 104975, 65899 ]
243
8,387
[ 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0 ]
[ 0, 8, 12, 15, 18, 76, 76, 77, 80, 97, 99, 101, 102, 111, 115, 116, 126, 126, 129, 130, 137, 152, 153, 157, 160, 162, 171, 171, 171, 186, 187, 193, 202, 215, 217, 223, 228, 230, 242, 247, 248, 255, 261, 264, 274, 280, 294, 294, 301, 327, 345, 348, 352, 353, 377, 404, 411, 426, 464, 471, 491, 561, 582, 640, 685, 873, 920, 1129, 1703, 1721, 2197, 2431, 2551, 3432, 4066, 4069, 4510, 4837, 4943, 6106, 6742, 7862, 10102, 29186, 33219, 33647, 44819, 53011, 150456 ]
3
[ 0, 8, 4, 3, 3, 58, 0, 1, 3, 17, 2, 2, 1, 9, 4, 1, 10, 0, 3, 1, 7, 15, 1, 4, 3, 2, 9, 0, 0, 15, 1, 6, 9, 13, 2, 6, 5, 2, 12, 5, 1, 7, 6, 3, 10, 6, 14, 0, 7, 26, 18, 3, 4, 1, 24, 27, 7, 15, 38, 7, 20, 70, 21, 58, 45, 188, 47, 209, 574, 18, 476, 234, 120, 881, 634, 3, 441, 327, 106, 1163, 636, 1120, 2240, 19084, 4033, 428, 11172, 8192, 97445 ]
89
8,388
[ 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0 ]
[ 0, 2, 29, 39, 51, 88, 91, 95, 198, 202, 300, 308, 376, 595, 702, 731, 746, 747, 775, 988, 1011, 1160, 1358, 1389, 1563, 1787, 1939, 2034, 2352, 2423, 3110, 3121, 3496, 3674, 3695, 3908, 4204, 4252, 5134, 5152, 5402, 5450, 5480, 5629, 5773, 6248, 6367, 6701, 7153, 7535, 7753, 8530, 9006, 9808, 10073, 11291, 11364, 13282, 13479, 18258, 20384, 20400, 20970, 21834, 23525, 23836, 26143, 36337, 37836, 38317, 38528, 40749, 42093, 47949, 49537, 54804, 56361, 57144, 58120, 58427, 59005, 71356, 81652, 137098, 155746, 174128, 178618, 415257 ]
3
[ 0, 2, 27, 10, 12, 37, 3, 4, 103, 4, 98, 8, 68, 219, 107, 29, 15, 1, 28, 213, 23, 149, 198, 31, 174, 224, 152, 95, 318, 71, 687, 11, 375, 178, 21, 213, 296, 48, 882, 18, 250, 48, 30, 149, 144, 475, 119, 334, 452, 382, 218, 777, 476, 802, 265, 1218, 73, 1918, 197, 4779, 2126, 16, 570, 864, 1691, 311, 2307, 10194, 1499, 481, 211, 2221, 1344, 5856, 1588, 5267, 1557, 783, 976, 307, 578, 12351, 10296, 55446, 18648, 18382, 4490, 236639 ]
88
8,389
[ 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0 ]
[ 0, 0, 3, 9, 12, 29, 37, 54, 69, 69, 83, 91, 222, 263, 278, 388, 399, 407, 417, 436, 488, 489, 578, 811, 969, 1040, 1094, 1242, 1292, 3122, 4855, 5843, 11059, 60220, 69097, 69633, 70429, 70440, 70442, 70446, 70480, 70482, 70494, 70495, 70498, 70512, 70548, 70615, 70621, 70741, 70771, 70796, 70803, 70807, 70828, 70848, 70851, 70855, 70976, 71011, 71056, 71155, 71346, 71682, 73146, 73174, 73179, 73181, 73213, 73243, 73253, 73269, 73272, 73307, 73319, 73339, 73345, 73355, 73404, 73413, 73422, 73443, 73449, 73461, 73507, 73507, 73595, 73665, 73666, 73760, 73767, 73827, 73849, 73925, 74039, 74106, 74156, 74163, 74195, 74363, 74555, 74584, 74700, 74716, 74811, 74915, 75127, 75180, 75399, 75516, 75578, 75637, 76496, 76497, 76552, 77074, 79297, 80492, 80594, 83632, 83680, 84451, 91883, 152609, 164663, 185220, 263122, 273284, 273333, 405788, 430059, 431406, 432568, 440070, 507783, 521190 ]
3
[ 0, 0, 3, 6, 3, 17, 8, 17, 15, 0, 14, 8, 131, 41, 15, 110, 11, 8, 10, 19, 52, 1, 89, 233, 158, 71, 54, 148, 50, 1830, 1733, 988, 5216, 49161, 8877, 536, 796, 11, 2, 4, 34, 2, 12, 1, 3, 14, 36, 67, 6, 120, 30, 25, 7, 4, 21, 20, 3, 4, 121, 35, 45, 99, 191, 336, 1464, 28, 5, 2, 32, 30, 10, 16, 3, 35, 12, 20, 6, 10, 49, 9, 9, 21, 6, 12, 46, 0, 88, 70, 1, 94, 7, 60, 22, 76, 114, 67, 50, 7, 32, 168, 192, 29, 116, 16, 95, 104, 212, 53, 219, 117, 62, 59, 859, 1, 55, 522, 2223, 1195, 102, 3038, 48, 771, 7432, 60726, 12054, 20557, 77902, 10162, 49, 132455, 24271, 1347, 1162, 7502, 67713, 13407 ]
136
8,390
[ 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0 ]
[ 0, 1, 6, 16, 86, 90, 91, 93, 111, 111, 116, 120, 139, 143, 154, 155, 172, 186, 299, 319, 353, 548, 1018, 1324, 1396, 1626, 2090, 2150, 2273, 2887, 4267, 5354, 5745, 6089, 6104, 6287, 6524, 6620, 6665, 6903, 9678, 10452, 10814, 12986, 15914, 17031, 17452, 36609, 56299, 62569, 63787, 69734, 71533, 76364, 76747, 149110, 184339, 344865 ]
3
[ 0, 1, 5, 10, 70, 4, 1, 2, 18, 0, 5, 4, 19, 4, 11, 1, 17, 14, 113, 20, 34, 195, 470, 306, 72, 230, 464, 60, 123, 614, 1380, 1087, 391, 344, 15, 183, 237, 96, 45, 238, 2775, 774, 362, 2172, 2928, 1117, 421, 19157, 19690, 6270, 1218, 5947, 1799, 4831, 383, 72363, 35229, 160526 ]
58
8,391
[ 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1 ]
[ 0, 5, 9, 12, 38, 39, 52, 63, 85, 85, 86, 87, 91, 107, 127, 128, 142, 143, 162, 168, 170, 177, 189, 195, 203, 215, 235, 248, 257, 312, 317, 333, 339, 345, 385, 460, 466, 479, 508, 518, 520, 524, 585, 588, 618, 621, 639, 665, 667, 689, 706, 794, 817, 861, 877, 884, 905, 940, 971, 1017, 1098, 1267, 1273, 1396, 1397, 1413, 1435, 1484, 1501, 1506, 1528, 1531, 1542, 1593, 1606, 1665, 1667, 1692, 1711, 1736, 1796, 1882, 2164, 2225, 2238, 2251, 2283, 2347, 2359, 2413, 2451, 2495, 2542, 2590, 2596, 2604, 2617, 2804, 2849, 2939, 2962, 3027, 3167, 3275, 3290, 3314, 3466, 3637, 3644, 3777, 3813, 3955, 4010, 4074, 4089, 4106, 4212, 4241, 4286, 4412, 4501, 4502, 4692, 4768, 4853, 4867, 5001, 5297, 5328, 5378, 5415, 5472, 5510, 5644, 5751, 6113, 6125, 6301, 6656, 6836, 6895, 6919, 6937, 6968, 7022, 7024, 7044, 7370, 7521, 7562, 8259, 8268, 8442, 8570, 8661, 8796, 8833, 9001, 9689, 9803, 10130, 10272, 10307, 10560, 10650, 10839, 10921, 12271, 12337, 12559, 13280, 13309, 13382, 13549, 13643, 13863, 14255, 14960, 16780, 17100, 17346, 17715, 18075, 19119, 22639, 28008, 28064, 28725, 28726, 28855, 28911, 34094, 34906, 35111, 37955, 40756, 41199, 42241, 44130, 46198, 47618, 47786, 87249, 105995, 118146, 249570 ]
3
[ 0, 5, 4, 3, 26, 1, 13, 11, 22, 0, 1, 1, 4, 16, 20, 1, 14, 1, 19, 6, 2, 7, 12, 6, 8, 12, 20, 13, 9, 55, 5, 16, 6, 6, 40, 75, 6, 13, 29, 10, 2, 4, 61, 3, 30, 3, 18, 26, 2, 22, 17, 88, 23, 44, 16, 7, 21, 35, 31, 46, 81, 169, 6, 123, 1, 16, 22, 49, 17, 5, 22, 3, 11, 51, 13, 59, 2, 25, 19, 25, 60, 86, 282, 61, 13, 13, 32, 64, 12, 54, 38, 44, 47, 48, 6, 8, 13, 187, 45, 90, 23, 65, 140, 108, 15, 24, 152, 171, 7, 133, 36, 142, 55, 64, 15, 17, 106, 29, 45, 126, 89, 1, 190, 76, 85, 14, 134, 296, 31, 50, 37, 57, 38, 134, 107, 362, 12, 176, 355, 180, 59, 24, 18, 31, 54, 2, 20, 326, 151, 41, 697, 9, 174, 128, 91, 135, 37, 168, 688, 114, 327, 142, 35, 253, 90, 189, 82, 1350, 66, 222, 721, 29, 73, 167, 94, 220, 392, 705, 1820, 320, 246, 369, 360, 1044, 3520, 5369, 56, 661, 1, 129, 56, 5183, 812, 205, 2844, 2801, 443, 1042, 1889, 2068, 1420, 168, 39463, 18746, 12151, 131424 ]
206
8,392
[ 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0 ]
[ 0, 60, 135, 182, 248, 251, 315, 370, 376, 437, 486, 491, 505, 519, 549, 568, 569, 591, 664, 680, 702, 717, 829, 884, 921, 1002, 1042, 1058, 1064, 1092, 1132, 1135, 1176, 1193, 1194, 1320, 1396, 1431, 1512, 1534, 1758, 1764, 1788, 1835, 1935, 2041, 2093, 2118, 2137, 2154, 2170, 2172, 2180, 2210, 2213, 2240, 2286, 2357, 2368, 2414, 2426, 2426, 2485, 2641, 2735, 2795, 2797, 2823, 2852, 2870, 2903, 2965, 3071, 3330, 3355, 3726, 3841, 3858, 4069, 4116, 4155, 4185, 4295, 4414, 4415, 4425, 4434, 4487, 4494, 4499, 4521, 4583, 4590, 4835, 4887, 4900, 5142, 5173, 5400, 5411, 5620, 5783, 6065, 6495, 7058, 7310, 7795, 8109, 8717, 9495, 10003, 10547, 10547, 10560, 10560, 10585, 10585, 10806, 10920, 11287, 12020, 13092, 14759, 15162, 16075, 17192, 17214, 20939, 20965, 21144, 21271, 21929, 22632, 22714, 26622, 28239, 46175, 55763, 67671, 77411, 88290, 90254, 128684 ]
3
[ 0, 60, 75, 47, 66, 3, 64, 55, 6, 61, 49, 5, 14, 14, 30, 19, 1, 22, 73, 16, 22, 15, 112, 55, 37, 81, 40, 16, 6, 28, 40, 3, 41, 17, 1, 126, 76, 35, 81, 22, 224, 6, 24, 47, 100, 106, 52, 25, 19, 17, 16, 2, 8, 30, 3, 27, 46, 71, 11, 46, 12, 0, 59, 156, 94, 60, 2, 26, 29, 18, 33, 62, 106, 259, 25, 371, 115, 17, 211, 47, 39, 30, 110, 119, 1, 10, 9, 53, 7, 5, 22, 62, 7, 245, 52, 13, 242, 31, 227, 11, 209, 163, 282, 430, 563, 252, 485, 314, 608, 778, 508, 544, 0, 13, 0, 25, 0, 221, 114, 367, 733, 1072, 1667, 403, 913, 1117, 22, 3725, 26, 179, 127, 658, 703, 82, 3908, 1617, 17936, 9588, 11908, 9740, 10879, 1964, 38430 ]
143
8,393
[ 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0 ]
[ 0, 8, 17, 17, 18, 20, 24, 24, 34, 35, 36, 36, 42, 45, 46, 48, 59, 61, 62, 69, 74, 74, 78, 87, 88, 88, 95, 104, 110, 112, 122, 123, 138, 151, 156, 163, 170, 174, 178, 181, 183, 263, 270, 272, 281, 288, 293, 307, 341, 359, 359, 393, 418, 463, 479, 538, 563, 574, 658, 719, 723, 737, 804, 822, 900, 902, 910, 924, 1032, 1039, 1099, 1230, 1345, 1917, 2009, 2075, 2475, 2559, 2614, 3183, 3234, 4011, 4451, 5819, 7460, 7546, 8487, 9644, 12612, 20524, 21302, 21378, 22920, 23632, 60333, 148606, 148626, 148646, 148716, 148720, 148727, 148843, 149332, 149463, 149666, 150858, 152070, 156466, 175956, 247214 ]
3
[ 0, 8, 9, 0, 1, 2, 4, 0, 10, 1, 1, 0, 6, 3, 1, 2, 11, 2, 1, 7, 5, 0, 4, 9, 1, 0, 7, 9, 6, 2, 10, 1, 15, 13, 5, 7, 7, 4, 4, 3, 2, 80, 7, 2, 9, 7, 5, 14, 34, 18, 0, 34, 25, 45, 16, 59, 25, 11, 84, 61, 4, 14, 67, 18, 78, 2, 8, 14, 108, 7, 60, 131, 115, 572, 92, 66, 400, 84, 55, 569, 51, 777, 440, 1368, 1641, 86, 941, 1157, 2968, 7912, 778, 76, 1542, 712, 36701, 88273, 20, 20, 70, 4, 7, 116, 489, 131, 203, 1192, 1212, 4396, 19490, 71258 ]
110
8,394
[ 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1 ]
[ 0, 13, 13, 15, 23, 38, 72, 91, 102, 103, 114, 125, 134, 135, 137, 168, 195, 209, 222, 278, 284, 291, 326, 357, 620, 1030, 1163, 1433, 1505, 1737, 2262, 2413, 2467, 2993, 4549, 4550, 4551, 4552, 5243, 5322, 6130, 6410, 6736, 7844, 9592, 9923, 11505, 12041, 12130, 13154, 21590, 84656, 360867 ]
3
[ 0, 13, 0, 2, 8, 15, 34, 19, 11, 1, 11, 11, 9, 1, 2, 31, 27, 14, 13, 56, 6, 7, 35, 31, 263, 410, 133, 270, 72, 232, 525, 151, 54, 526, 1556, 1, 1, 1, 691, 79, 808, 280, 326, 1108, 1748, 331, 1582, 536, 89, 1024, 8436, 63066, 276211 ]
53
8,395
[ 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0 ]
[ 0, 0, 2, 2, 4, 5, 6, 7, 8, 8, 9, 10, 10, 11, 11, 11, 12, 12, 12, 71, 71, 73, 76, 79, 82, 82, 83, 87, 88, 90, 91, 91, 92, 93, 93, 94, 95, 96, 100, 100, 114, 119, 120, 131, 135, 136, 143, 144, 152, 152, 153, 161, 163, 164, 166, 210, 218, 291, 294, 328, 366, 544, 607, 939, 1046, 1212, 1215, 1281, 1369, 1390, 1398, 1402, 1403, 1404, 1405, 1408, 1409, 1414, 1417, 1419, 1426, 1428, 1430, 1433, 1435, 1435, 1437, 1439, 1492, 1495, 1495, 1497, 1503, 1510, 1510, 1511, 1513, 1523, 1526, 1530, 1531, 1543, 1550, 1566, 1576, 1592, 1593, 1614, 1622, 1625, 1726, 1769, 1808, 1914, 1958, 2018, 2058, 2081, 2176, 2272, 2403, 3546, 3615, 4193, 4345, 5142, 5332, 7434, 12691, 15613, 36129, 36424, 36638, 36684, 37301, 38666, 42058, 43289, 45669, 45704, 45718, 46148, 47722, 48325, 50641, 52716, 54198, 54325, 55603, 56665, 60603, 64081, 64330, 64406, 67641, 67824, 68505, 68739, 68978, 69107, 69259, 69520, 69688, 70032, 70293, 70990, 76770, 77243, 77291, 77387, 77448, 77484, 78178, 78480, 78774, 78855, 80932, 82551, 82640, 91733, 92071, 92401, 92416, 92506, 92990, 93281, 98746, 102244, 152144, 154302, 154519, 160441, 165216, 165232, 165783, 165904, 168465, 171356, 218627, 256240, 268277, 270754, 285277, 352908, 395968, 397988, 398006, 398098, 431939, 486630, 490740, 490742, 490749, 490750, 490755, 490761, 490781, 490782, 490784, 490784, 490789, 490790, 490792, 490799, 490800, 490804, 490805, 490806, 490812, 490831, 490831, 490841, 490846, 490847, 490866, 490950, 490991, 491008, 491065, 491086, 491328, 491544, 494169, 531552, 558545, 577598, 577638 ]
3
[ 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 59, 0, 2, 3, 3, 3, 0, 1, 4, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 4, 0, 14, 5, 1, 11, 4, 1, 7, 1, 8, 0, 1, 8, 2, 1, 2, 44, 8, 73, 3, 34, 38, 178, 63, 332, 107, 166, 3, 66, 88, 21, 8, 4, 1, 1, 1, 3, 1, 5, 3, 2, 7, 2, 2, 3, 2, 0, 2, 2, 53, 3, 0, 2, 6, 7, 0, 1, 2, 10, 3, 4, 1, 12, 7, 16, 10, 16, 1, 21, 8, 3, 101, 43, 39, 106, 44, 60, 40, 23, 95, 96, 131, 1143, 69, 578, 152, 797, 190, 2102, 5257, 2922, 20516, 295, 214, 46, 617, 1365, 3392, 1231, 2380, 35, 14, 430, 1574, 603, 2316, 2075, 1482, 127, 1278, 1062, 3938, 3478, 249, 76, 3235, 183, 681, 234, 239, 129, 152, 261, 168, 344, 261, 697, 5780, 473, 48, 96, 61, 36, 694, 302, 294, 81, 2077, 1619, 89, 9093, 338, 330, 15, 90, 484, 291, 5465, 3498, 49900, 2158, 217, 5922, 4775, 16, 551, 121, 2561, 2891, 47271, 37613, 12037, 2477, 14523, 67631, 43060, 2020, 18, 92, 33841, 54691, 4110, 2, 7, 1, 5, 6, 20, 1, 2, 0, 5, 1, 2, 7, 1, 4, 1, 1, 6, 19, 0, 10, 5, 1, 19, 84, 41, 17, 57, 21, 242, 216, 2625, 37383, 26993, 19053, 40 ]
247
8,396
[ 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1 ]
[ 0, 7, 26, 30, 41, 45, 62, 79, 81, 95, 105, 105, 107, 109, 111, 115, 116, 119, 124, 126, 129, 132, 149, 152, 153, 158, 159, 161, 178, 182, 189, 190, 196, 197, 198, 204, 205, 207, 208, 212, 227, 230, 232, 288, 289, 300, 306, 333, 337, 435, 741, 961, 968, 979, 1433, 1775, 2042, 2174, 2778, 3082, 3735, 4920, 4967, 7657, 8516, 24955, 31614, 36531, 39836, 42336, 71021, 140146, 141042, 141115, 141168, 141192, 141217, 141236, 141239, 169301, 170699, 220096, 220124 ]
3
[ 0, 7, 19, 4, 11, 4, 17, 17, 2, 14, 10, 0, 2, 2, 2, 4, 1, 3, 5, 2, 3, 3, 17, 3, 1, 5, 1, 2, 17, 4, 7, 1, 6, 1, 1, 6, 1, 2, 1, 4, 15, 3, 2, 56, 1, 11, 6, 27, 4, 98, 306, 220, 7, 11, 454, 342, 267, 132, 604, 304, 653, 1185, 47, 2690, 859, 16439, 6659, 4917, 3305, 2500, 28685, 69125, 896, 73, 53, 24, 25, 19, 3, 28062, 1398, 49397, 28 ]
83
8,397
[ 1, 1, 1, 1, 1, 1, 1, 2, 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, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1 ]
[ 0, 47, 55, 60, 68, 68, 68, 69, 80, 81, 82, 98, 101, 109, 127, 128, 129, 129, 129, 134, 134, 135, 150, 165, 181, 188, 317, 329, 401, 522, 666, 732, 737, 745, 943, 972, 1064, 1399, 1404, 1906, 2138, 2855, 4517, 7563, 8024, 8532, 8731, 49801, 62840, 84860, 99346, 106571, 136551, 155351, 158915, 184487, 210490, 256573 ]
3
[ 0, 47, 8, 5, 8, 0, 0, 1, 11, 1, 1, 16, 3, 8, 18, 1, 1, 0, 0, 5, 0, 1, 15, 15, 16, 7, 129, 12, 72, 121, 144, 66, 5, 8, 198, 29, 92, 335, 5, 502, 232, 717, 1662, 3046, 461, 508, 199, 41070, 13039, 22020, 14486, 7225, 29980, 18800, 3564, 25572, 26003, 46083 ]
58
8,398
[ 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1 ]
[ 0, 8, 9, 19, 21, 24, 27, 29, 50, 51, 60, 68, 71, 78, 98, 121, 126, 165, 221, 222, 247, 260, 265, 305, 305, 321, 327, 406, 410, 435, 442, 519, 860, 943, 1371, 1554, 2099, 2145, 2253, 2787, 3200, 4279, 4327, 4991, 14861, 16590, 17756, 18846, 32851, 48743, 48897, 57404, 58397, 63585, 82018, 133247, 138794, 249905, 250004, 537104 ]
3
[ 0, 8, 1, 10, 2, 3, 3, 2, 21, 1, 9, 8, 3, 7, 20, 23, 5, 39, 56, 1, 25, 13, 5, 40, 0, 16, 6, 79, 4, 25, 7, 77, 341, 83, 428, 183, 545, 46, 108, 534, 413, 1079, 48, 664, 9870, 1729, 1166, 1090, 14005, 15892, 154, 8507, 993, 5188, 18433, 51229, 5547, 111111, 99, 287100 ]
60
8,399
[ 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0 ]