Datasets:
SmallDoge
/
decay_dataset

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
6
2.05k
attention_mask
listlengths
6
2.05k
[ 0, 763, 27706, 8881, 543, 2657, 10029, 630, 5308, 11190, 264, 4441, 593, 2887, 4027, 1533, 12820, 1590, 723, 513, 2854, 2887, 4027, 1982, 952, 4600, 616, 6534, 547, 8813, 689, 15627, 563, 7197, 540, 519, 4070, 3785, 538, 519, 2136, 2276, 723, 930, 4990, 540, 21934, 13783, 593, 519, 2816, 3135, 693, 930, 1448, 1282, 519, 1585, 11775, 540, 4070, 269, 1703, 616, 476, 274, 1292, 2010, 540, 21934, 9529, 281, 20022, 267, 6462, 267, 543, 19666, 3076, 1206, 563, 288, 1085, 1170, 528, 12740, 568, 606, 11506, 960, 3760, 602, 2337, 1847, 4600, 19794, 543, 547, 1114, 6753, 538, 513, 9744, 610, 593, 513, 2816, 3135, 269, 6787, 621, 568, 851, 540, 4948, 946, 610, 851, 540, 707, 5826, 11645, 971, 607, 4657, 1769, 15620, 538, 707, 9744, 267, 1034, 3549, 723, 513, 1085, 1170, 528, 12740, 610, 513, 991, 585, 1210, 513, 1085, 1170, 528, 12740, 563, 298, 4932, 296, 568, 8716, 12820, 547, 7119, 538, 519, 13013, 11190, 2817, 8881, 5776, 5937, 1144, 267, 513, 17319, 2680, 1141, 12820, 786, 2911, 2047, 547, 5520, 827, 3106, 269, 2494, 6162, 616, 9415, 547, 1544, 513, 1796, 16365, 602, 1568, 1655, 585, 741, 9036, 20471, 1282, 2904, 476, 277, 268, 1015, 267, 476, 1001, 280, 563, 1432, 798, 596, 798, 952, 2576, 8813, 543, 3587, 17735, 4724, 519, 1283, 540, 513, 13486, 286, 14348, 596, 917, 875, 547, 1205, 602, 1268, 1524, 286, 589, 1434, 2887, 15063, 1544, 2337, 3025, 1174, 1018, 547, 798, 1354, 513, 2887, 563, 303, 4673, 3288, 25650, 17144, 632, 562, 657, 582, 4592, 267, 796, 524, 3133, 334, 1642, 1609, 30685, 600, 1304, 334, 513, 3288, 540, 545, 2088, 267, 1714, 3331, 350, 16699, 632, 911, 321, 26953, 267, 3092, 1421, 1965, 796, 851, 324, 632, 8356, 652, 571, 678, 583, 2088, 1019, 7559, 4074, 531, 269, 20736, 14397, 1714, 1045, 1512, 7224, 267, 5657, 524, 3133, 334, 533, 4240, 324, 1459, 541, 796, 10652, 580, 549, 632, 759, 4472, 11252, 522, 1309, 6403, 6767, 269, 1530, 533, 4240, 523, 513, 2163, 541, 17485, 8009, 525, 632, 759, 4472, 11252, 586, 1309, 6403, 6767, 3181, 18480, 513, 3288, 2625, 8494, 21059, 632, 3288, 562, 10079, 586, 1714, 554, 1408, 334, 679, 15255, 15583, 10327, 267, 15255, 19856, 553, 267, 15255, 20805, 1304, 525, 267, 17485, 1609, 30685, 600, 1304, 657, 586, 15255, 7333, 21103, 553, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 589, 5547, 609, 513, 4187, 540, 476, 280, 26102, 814, 513, 25146, 5283, 1206, 693, 476, 277, 589, 269, 2052, 513, 6453, 540, 476, 4366, 966, 581, 4294, 547, 519, 5547, 1510, 25738, 519, 25146, 2496, 13202, 476, 2641, 267, 476, 1001, 277, 692, 259, 309, 815, 681, 1775, 14204, 259, 4366, 815, 476, 280, 1775, 14204, 810, 602, 1269, 328, 815, 1422, 2765, 346, 4366, 2410, 280, 348, 815, 476, 276, 269, 274, 589, 259, 602, 568, 2630, 519, 3970, 540, 707, 25146, 18121, 277, 589, 259, 1040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 318, 265, 318, 8193, 284, 583, 325, 279, 9041, 265, 318, 1477, 18257, 1477, 25335, 352, 19404, 488, 417, 503, 357, 421, 355, 500, 10429, 486, 25263, 504, 25335, 352, 19404, 488, 287, 31033, 9463, 371, 12571, 492, 30837, 351, 7511, 28786, 419, 510, 479, 8147, 1477, 417, 28187, 31563, 417, 28187, 31968, 30837, 351, 7511, 28786, 419, 510, 479, 32352, 25263, 376, 8147, 421, 480, 352, 18263, 486, 11687, 263, 276, 264, 16533, 484, 420, 351, 360, 19867, 356, 27310, 8147, 1477, 18713, 510, 20992, 11687, 9463, 480, 12255, 276, 27962, 30678, 274, 8147, 19867, 478, 23284, 25263, 504, 13213, 498, 18713, 508, 22047, 16583, 30936, 418, 490, 485, 421, 496, 486, 15200, 27818, 23746, 23284, 17958, 290, 7511, 30244, 14748, 12571, 491, 21211, 23521, 354, 419, 494, 484, 25335, 352, 24724, 8147, 1477, 15200, 16533, 484, 31284, 13601, 27310, 7511, 16583, 30936, 418, 490, 485, 421, 496, 486, 16282, 343, 25051, 497, 30853, 9463, 480, 12255, 25263, 510, 24662, 8147, 25203, 368, 28996, 19867, 356, 27310, 14395, 490, 29873, 12486, 1477, 31006, 12571, 492, 14756, 497, 31563, 16533, 484, 27447, 24731, 8072, 15200, 685, 25520, 8072, 758, 685, 12486, 1477, 18257, 1477, 3698, 14263, 6600, 8029, 825, 1820, 1412, 2381, 639, 262, 1477, 825, 535, 14052, 21506, 3698, 7132, 6600, 8029, 825, 1820, 1412, 15200, 262, 1477, 825, 535, 14052, 21506, 3698, 1449, 5416, 8029, 825, 952, 513, 3436, 476, 274, 2433, 2132, 7132, 1477, 825, 3116, 2433, 2132, 14263, 1477, 21506, 287, 11687, 263, 276, 3418, 3698, 1535, 16282, 28399, 825, 1820, 1412, 758, 262 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 4524, 6353, 676, 27131, 12263, 267, 606, 23762, 454, 338, 921, 523, 267, 513, 8519, 3043, 1973, 1591, 1293, 267, 543, 20443, 3968, 563, 27246, 540, 674, 3881, 903, 454, 763, 2014, 540, 674, 3881, 903, 6794, 568, 7164, 269, 898, 568, 513, 14583, 454, 1993, 27131, 12263, 543, 568, 811, 1455, 538, 1004, 945, 723, 1185, 27131, 12263, 585, 454, 320, 1279, 942, 269, 4658, 609, 713, 6794, 7985, 689, 606, 2799, 11841, 540, 3968, 454, 817, 18620, 609, 519, 1970, 3043, 1973, 1591, 1293, 563, 21618, 540, 674, 3881, 903, 454, 268, 2489, 4743, 540, 9636, 454, 268, 2530, 540, 14031, 454, 268, 2597, 2530, 454, 268, 12779, 2681, 454, 268, 4745, 11926, 267, 20765, 267, 1928, 267, 543, 22775, 640, 454, 268, 20443, 5563, 454, 268, 3750, 8781, 267, 543, 5924, 11166, 454, 28536, 2670, 540, 674, 3881, 903, 454, 288, 2168, 6514, 2982, 606, 23762, 838, 22220, 267, 543, 949, 849, 454, 19651, 606, 23762, 6797, 610, 23762, 9726, 9136, 269, 17434, 4681, 616, 6093, 540, 27131, 454, 288, 595, 6195, 949, 1397, 8519, 6120, 5268, 559, 1293, 563, 21675, 540, 674, 3881, 903, 454, 10144, 609, 713, 6794, 616, 2356, 2907, 896, 2126, 454, 1721, 27131, 12263, 563, 306, 680, 523, 26618, 630, 8145, 15772, 540, 519, 838, 22220, 264, 949, 2087, 519, 3043, 1591, 1293, 543, 519, 454, 338, 639, 1061, 2225, 547, 5563, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 1599, 272, 6357, 1080, 2187, 825, 952, 711, 11353, 281, 8873, 8771, 454, 825, 562, 815, 7003, 6357, 1080, 994, 825, 4994, 815, 476, 271, 454, 825, 1247, 4994, 2999, 562, 912, 1038, 952, 4994, 2652, 562, 268, 272, 281, 8873, 6936, 454, 1038, 952, 11353, 27709, 316, 2525, 272, 281, 8161, 23785, 273, 454, 1038, 8640, 11353, 27709, 316, 2525, 271, 281, 8161, 23785, 272, 454, 825, 2132, 8771, 692, 2745, 6600, 4233, 272, 8443, 271, 267, 271, 316, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 306, 2894, 8889, 543, 6176, 7797, 454, 1432, 270, 15367, 568, 713, 585, 888, 1607, 3561, 2630, 14592, 3388, 596, 991, 547, 917, 827, 5885, 590, 2894, 10453, 693, 17659, 323, 1442, 269, 898, 568, 3730, 585, 3237, 267, 10453, 543, 1004, 945, 1131, 899, 547, 917, 1018, 649, 798, 547, 1711, 2189, 7399, 585, 20231, 540, 938, 10453, 267, 1519, 1346, 609, 590, 2894, 563, 1432, 568, 590, 2894, 888, 288, 7981, 12409, 10261, 568, 950, 513, 20194, 9060, 1945, 9875, 982, 824, 1453, 602, 616, 519, 1482, 2085, 610, 950, 513, 20194, 814, 513, 9659, 602, 1522, 1118, 621, 2182, 547, 946, 519, 2200, 538, 519, 1153, 269, 5262, 2159, 625, 1223, 581, 281, 2792, 267, 1565, 267, 3929, 610, 2168, 269, 901, 1797, 602, 3610, 723, 547, 1589, 5402, 827, 1018, 1142, 20194, 2115, 547, 8011, 543, 3356, 563, 5472, 519, 3610, 538, 519, 1153, 616, 3610, 540, 1453, 609, 7981, 12409, 20126, 563, 763, 1268, 1071, 268, 867, 3215, 519, 11865, 540, 2069, 585, 10453, 609, 2027, 3872, 2115, 568, 7323, 31929, 20831, 630, 306, 21715, 4596, 270, 23175, 540, 3427, 1040, 7323, 20831, 568, 849, 513, 1291, 590, 21715, 10870, 538, 519, 853, 4446, 10109, 553, 13878, 543, 5012, 13878, 3060, 11401, 269, 7323, 31929, 20831, 568, 519, 2048, 22529, 1043, 1268, 685, 585, 590, 21715, 693, 17659, 323, 1442, 563, 5978, 3610, 543, 3450, 20843, 960, 1927, 547, 1071, 268, 15453, 7459, 585, 590, 2894, 10453, 971, 607, 8856, 4001, 267, 18551, 1489, 267, 2542, 1489, 543, 4484, 5250, 269, 4586, 29309, 20831, 543, 11427, 918, 11391, 616, 8036, 8853, 9439, 543, 1071, 268, 15453, 476, 272, 281, 272, 609, 543, 1507, 1895, 960, 585, 930, 10453, 609, 3929, 2115, 607, 1134, 543, 4163, 856, 10526, 547, 1489, 713, 1982, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 10070, 1104, 9949, 18743, 454, 5228, 10070, 1104, 632, 4302, 454, 2562, 293, 815, 476, 1015, 1262, 276, 692, 3698, 1039, 318, 8354, 26086, 267, 642, 2187, 825, 5727, 308, 526, 20526, 3113, 7755, 659, 1890, 1592, 12163, 825, 7755, 314, 340, 4940, 6572, 17635, 994, 825, 7755, 314, 341, 4940, 6572, 26086, 2020, 3698, 1039, 318, 8354, 5091, 20526, 26086, 267, 642, 2187, 825, 5727, 17445, 539, 3113, 7755, 659, 1890, 1592, 12163, 825, 7755, 314, 340, 4940, 6572, 17635, 994, 8931, 3698, 536, 12028, 4433, 2187, 825, 7117, 815, 632, 4302, 4590, 825, 7117, 6910, 4433, 994, 825, 2681, 314, 338, 316, 815, 476, 271, 454, 825, 568, 289, 760, 691, 850, 815, 6936, 454, 825, 1247, 12759, 32429, 264, 285, 271, 543, 568, 289, 760, 691, 850, 2187, 1038, 579, 815, 7117, 4877, 963, 1111, 4590, 1038, 585, 1775, 538, 7755, 314, 340, 14158, 2018, 952, 2681, 5157, 316, 2525, 2562, 293, 912, 3546, 2681, 5157, 316, 815, 476, 272, 910, 2681, 314, 340, 2639, 3546, 7117, 6910, 9217, 994, 2018, 8640, 2681, 5157, 316, 2525, 10233, 314, 340, 14158, 3546, 568, 289, 760, 691, 850, 815, 8771, 454, 3546, 2736, 454, 825, 2132, 568, 289, 760, 691, 850, 19638, 1721, 9041, 538, 2039, 17301, 9272, 3890, 4297, 1384, 825, 1948, 7089, 540, 9136, 543, 8728, 454, 825, 715, 267, 631, 815, 4786, 17301, 267, 3403, 14061, 20889, 15405, 825, 7755, 815, 9949, 18743, 17338, 994, 825, 2681, 815, 1496, 2562, 293, 316, 16732, 301, 266, 272, 2020, 825, 585, 9041, 538, 2039, 29687, 2187, 1038, 579, 267, 642, 815, 4786, 17301, 267, 3403, 14061, 20889, 15405, 1038, 1039, 318, 8354, 26086, 267, 642, 994, 825, 952, 536, 12028, 263, 272, 2187, 1038, 1820, 2891, 763, 3113, 568, 536, 760, 691, 850, 5602, 825, 3116, 912, 1038, 1820, 2891, 20877, 568, 711, 536, 760, 691, 850, 257, 9239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 568, 513, 6965, 1793, 600, 286, 4340, 547, 9504, 267, 621, 568, 513, 6735, 538, 799, 15023, 1224, 610, 973, 924, 3312, 960, 269, 17826, 1793, 4461, 3459, 538, 9628, 538, 476, 2735, 275, 609, 922, 1101, 6735, 2966, 547, 1847, 6965, 973, 8558, 689, 24243, 547, 513, 2442, 5304, 950, 1977, 10564, 16205, 8055, 3459, 19234, 609, 4540, 1930, 28416, 28503, 585, 6965, 13220, 676, 1818, 873, 8013, 563, 17004, 707, 1983, 543, 15421, 676, 2870, 513, 476, 273, 547, 476, 274, 8792, 3381, 540, 3054, 12419, 707, 6648, 269, 1411, 786, 581, 5697, 1759, 593, 1523, 543, 6765, 910, 10416, 1018, 596, 616, 6031, 543, 875, 596, 616, 6031, 621, 269, 634, 1283, 1614, 6965, 1793, 600, 15023, 786, 581, 5697, 543, 1590, 14526, 585, 513, 14172, 693, 938, 3503, 267, 681, 1506, 1889, 267, 1299, 5589, 924, 11814, 633, 910, 18270, 908, 8479, 7313, 1115, 1299, 31209, 532, 22439, 2680, 593, 4873, 476, 279, 267, 476, 1001, 280, 693, 519, 3979, 1977, 7467, 538, 670, 11391, 560, 1737, 267, 12924, 269, 2353, 1614, 786, 581, 16798, 513, 14172, 269, 1717, 267, 972, 616, 1114, 5666, 585, 476, 272, 560, 267, 476, 273, 526, 543, 476, 274, 6113, 1747, 269, 5440, 8366, 568, 1269, 5611, 271, 269, 4841, 786, 581, 2838, 547, 973, 924, 741, 960, 538, 4395, 540, 606, 5304, 945, 786, 948, 3313, 519, 1101, 267, 2034, 543, 3791, 1747, 23602, 563, 17004, 1055, 707, 1983, 607, 513, 9275, 2262, 7376, 543, 4019, 2221, 269, 2659, 3498, 543, 3059, 19169, 568, 1813, 1100, 2663, 982, 6673, 6020, 299, 476, 1428, 267, 476, 1001, 280, 910, 476, 274, 281, 876, 533, 6230, 269, 29643, 269, 1403, 596, 723, 1022, 2152, 609, 14202, 532, 3758, 910, 5225, 3346, 4757, 11333, 2593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 5808, 5206, 519, 3209, 2048, 2750, 21402, 685, 888, 12585, 281, 15182, 772, 5142, 454, 2704, 328, 1162, 281, 15182, 29849, 772, 5142, 267, 15182, 631, 269, 772, 5142, 267, 3057, 329, 12929, 772, 5142, 267, 15182, 772, 5142, 267, 808, 650, 772, 5142 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1012, 16504, 543, 29329, 10789, 281, 16610, 1299, 10241, 630, 277, 628, 9990, 2020, 259, 326, 8987, 277, 21174, 6912, 346, 1556, 348, 2073, 11138, 11138, 575, 263, 274, 21174, 3667, 18097, 3996, 711, 2291, 348, 2073, 11138, 11138, 575, 263, 277, 21174, 6912, 346, 1556, 348, 2073, 11138, 11138, 575, 263, 1724, 6661, 1321, 14204, 7445, 8578, 3189, 3667, 346, 11405, 20895, 281, 22288, 15240, 3482, 519, 2016, 1599, 1871, 538, 1269, 326, 3287, 21174, 6912, 12757, 317, 273, 268, 1839, 348, 1547, 259, 4399, 8578, 3189, 3667, 346, 11405, 19672, 281, 22288, 1403, 1269, 343, 15871, 277, 2073, 259, 1287, 1422, 8218, 15204, 2410, 331, 4153, 7528, 790, 26231, 30327, 348, 575, 3287, 21174, 6912, 12757, 317, 273, 268, 1839, 348, 8607, 11138, 575, 8987, 277, 21174, 6912, 346, 8987, 277, 8203, 273, 268, 1839, 348, 8607, 11138, 575, 8987, 277, 21174, 6912, 346, 3607, 268, 1839, 348, 8607, 11138, 575, 8987, 277, 21174, 6912, 346, 1556, 348, 1547, 315, 754, 15204, 348, 1403, 1269, 343, 284, 274, 2073, 259, 1287, 1422, 8218, 15204, 2410, 331, 4153, 7528, 790, 26231, 30327, 348, 575, 3287, 21174, 6912, 12757, 317, 273, 268, 1839, 348, 8607, 11138, 575, 263, 274, 21174, 6912, 18950, 274, 8203, 273, 268, 1839, 348, 8607, 11138, 575, 263, 274, 21174, 6912, 346, 280, 268, 1839, 348, 8607, 11138, 575, 263, 274, 21174, 6912, 24877, 1626, 348, 1422, 3667, 346, 630, 2254, 513, 1483, 1297, 14587, 1547, 315, 754, 15204, 348, 1403, 1269, 343, 284, 277, 2073, 259, 1287, 1422, 8218, 15204, 2410, 331, 4153, 7528, 790, 26231, 30327, 348, 575, 3287, 21174, 6912, 12757, 317, 273, 268, 1839, 348, 8607, 11138, 575, 263, 277, 21174, 6912, 18950, 277, 8203, 273, 268, 1839, 348, 8607, 11138, 575, 263, 277, 21174, 6912, 346, 3607, 268, 1839, 348, 8607, 11138, 575, 263, 277, 21174, 6912, 346, 1556, 348, 1547, 315, 754, 15204, 348, 1403, 1269, 343, 284, 1724, 2073, 259, 1287, 1422, 8218, 15204, 2410, 331, 4153, 7528, 790, 26231, 30327, 348, 575, 3287, 21174, 6912, 12757, 317, 273, 268, 1839, 348, 8607, 11138, 575, 263, 1724, 21174, 6912, 18950, 1724, 8203, 273, 268, 1839, 348, 8607, 11138, 575, 263, 1724, 21174, 6912, 346, 15433, 268, 1839, 348, 8607, 11138, 575, 263, 1724, 21174, 6912, 346, 13893, 348, 8607, 11138, 575, 263, 1724, 6661, 1321, 1547, 315, 754, 15204, 348, 9747, 267, 1422, 8218, 15204, 2410, 331, 4153, 7528, 790, 26231, 30327, 348, 575, 8987, 277, 21174, 6912, 346, 1556, 348, 2073, 11138, 11138, 575, 263, 274, 21174, 3667, 18097, 3996, 711, 2291, 348, 2073, 11138, 11138, 575, 263, 277, 21174, 6912, 346, 1556, 348, 2073, 11138, 11138, 575, 263, 1724, 6661, 1321, 1547, 315, 754, 15204, 348 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 297, 822, 542, 918, 20482, 692, 1708, 273, 268, 6860, 268, 4962, 692, 19352, 532, 1079, 13902, 17242, 1899, 689, 519, 5169, 547, 1269, 344, 28121, 343, 8703, 273, 18511, 273, 343, 266, 320, 259, 563, 2171, 16668, 1079, 13902, 17242, 1899, 689, 519, 5169, 630, 1492, 1448, 630, 271, 267, 271, 264, 3738, 547, 519, 7455, 1269, 344, 28121, 343, 8703, 273, 18511, 273, 343, 266, 320, 8961, 1018, 568, 519, 1871, 540, 513, 888, 272, 264, 4399, 2765, 346, 276, 2410, 275, 21456, 273, 264, 4399, 2765, 24877, 276, 2410, 275, 21456, 274, 264, 4399, 2765, 346, 274, 2410, 275, 21456, 275, 264, 4399, 2765, 24877, 274, 2410, 275, 10592, 306, 1993, 313, 809, 344, 342, 5622, 651, 1195, 321, 323, 692, 4131, 519, 17242, 581, 1269, 344, 284, 332, 343, 8961, 630, 553, 621, 10596, 998, 519, 5169, 1070, 1287, 649, 723, 519, 13392, 20270, 343, 8703, 273, 32757, 3847, 9852, 266, 273, 9368, 32589, 266, 275, 268, 275, 320, 284, 271, 269, 259, 769, 1931, 585, 519, 2016, 1899, 581, 17242, 547, 519, 2016, 29236, 267, 621, 1590, 12969, 693, 1152, 835, 1448, 267, 543, 8754, 20270, 289, 8703, 273, 18511, 275, 3722, 284, 271, 9368, 1040, 259, 1924, 649, 1205, 513, 13392, 585, 544, 607, 20270, 332, 8703, 273, 15396, 273, 332, 268, 275, 13375, 263, 272, 8584, 9368, 6661, 271, 10608, 901, 1797, 602, 1079, 8126, 757, 616, 2009, 267, 543, 789, 786, 581, 13902, 952, 20270, 332, 13925, 272, 2410, 332, 13925, 273, 13157, 268, 272, 22382, 275, 13375, 263, 272, 8584, 9368, 6661, 268, 272, 22382, 320, 7807, 2765, 346, 276, 2410, 275, 4151, 630, 28237, 540, 5072, 540, 513, 13392, 1269, 320, 12757, 8703, 273, 15396, 321, 343, 25239, 7807, 2765, 26231, 2410, 320, 4153, 2431, 22491, 296, 3333, 22528, 853, 719, 692, 4131, 1109, 259, 325, 13375, 3287, 9368, 6661, 346, 343, 8703, 273, 18511, 273, 343, 266, 320, 259, 563, 288, 1899, 8429, 998, 630, 271, 267, 271, 264, 568, 540, 519, 1106, 1109, 259, 344, 7807, 14433, 1535, 10608, 1403, 971, 513, 1899, 568, 17242, 547, 519, 3113, 540, 535, 693, 930, 1448, 1109, 7445, 3847, 7268, 10401, 2073, 315, 15883, 1422, 2431, 29408, 1287, 912, 272, 269, 1109, 7445, 15883, 815, 325, 13375, 7268, 10401, 1422, 2431, 6661, 3189, 10401, 7684, 3867, 273, 18511, 273, 315, 10401, 1341, 320, 259, 3248, 273, 269, 1109, 7445, 14433, 815, 346, 325, 23685, 18905, 476, 4153, 3847, 7268, 10401, 1422, 2431, 6661, 273, 315, 10401, 910, 273, 259, 563, 11997, 2676, 663, 4061, 1547, 1924, 267, 1109, 7445, 10401, 31386, 6912, 21151, 4151, 1109, 528, 1109, 7445, 10401, 815, 10559, 6912, 21151, 23201, 769, 519, 1101, 2013, 267, 1109, 7445, 15883, 815, 273, 320, 268, 273, 25490, 21151, 20954, 543, 538, 519, 2034, 2013, 1109, 7445, 15883, 815, 273, 320, 266, 273, 25490, 21151, 23201, 769, 519, 1101, 2013, 267, 519, 9386, 540, 519, 17242, 1899, 786, 581, 1109, 259, 273, 25490, 21151, 18511, 273, 259, 30548, 538, 519, 2034, 2013, 621, 786, 581, 1109, 27572, 273, 25490, 21151, 18511, 273, 10608, 634, 1152, 3510, 538, 799, 519, 17242, 3515, 786, 581, 26667, 267, 602, 568, 267, 519, 1152, 2013, 538, 799, 519, 1587, 540, 891, 2338, 568, 910, 272, 267, 568, 950, 1109, 7445, 6912, 21151, 13157, 22144, 315, 6912, 3189, 2765, 346, 276, 2410, 275, 3686, 14204, 17798, 267, 1109, 259, 320, 7807, 2765, 346, 276, 2410, 275, 31859, 2710, 596, 723, 513, 2147, 2243, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8794, 519, 6732, 7732, 610, 519, 5769, 267, 1382, 543, 1224, 827, 5691, 3785, 269, 9122, 593, 707, 1382, 267, 2626, 519, 1739, 2055, 538, 513, 2347, 476, 274, 268, 547, 476, 275, 22240, 9786, 6478, 3561, 563, 268, 6904, 5691, 1788, 2042, 616, 2189, 547, 519, 7613, 540, 1373, 24797, 543, 799, 616, 1455, 1788, 2042, 538, 1022, 1788, 888, 268, 1548, 1007, 5907, 4066, 723, 8329, 547, 519, 2042, 267, 543, 3435, 267, 540, 5691, 1788, 6887, 888, 268, 2986, 519, 3435, 547, 5691, 2319, 2042, 267, 799, 1131, 4019, 547, 2834, 1788, 6887, 849, 888, 268, 6904, 5691, 2042, 616, 519, 1034, 3978, 585, 5691, 3785, 286, 4208, 888, 268, 6904, 5691, 2042, 1522, 581, 14603, 585, 5691, 3785, 286, 4208, 888, 268, 1215, 1522, 519, 7965, 540, 5119, 3919, 1689, 950, 7598, 5691, 3785, 888, 28874, 707, 6114, 609, 1806, 269, 18771, 1331, 476, 274, 268, 275, 23674, 8100, 11855, 538, 14905, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 8049, 2370, 8004, 3957, 15039, 269, 2701, 6068, 6998, 2055, 827, 3388, 1472, 1200, 269, 2290, 1554, 267, 1352, 4280, 1200, 2462, 7015, 7665, 267, 834, 3963, 798, 594, 1745, 6126, 950, 594, 1404, 609, 1250, 5172, 22788, 11276, 7703, 12482, 16655, 20493, 543, 1767, 267, 834, 6546, 781, 1317, 707, 2634, 13847, 2027, 6464, 1572, 1412, 327, 7026, 10399, 262, 950, 596, 524, 3291, 548, 707, 22788, 11276, 7703, 256, 898, 2306, 596, 1745, 782, 3636, 543, 27967, 3330, 3010, 299, 1176, 2219, 585, 513, 4090, 543, 1287, 4280, 267, 834, 3719, 875, 1281, 1250, 2634, 917, 950, 547, 1118, 1346, 6126, 4606, 12482, 257, 11039, 2437, 6045, 7665, 267, 834, 15290, 596, 1294, 1945, 596, 899, 267, 971, 607, 707, 22788, 11276, 7703, 267, 6835, 2951, 998, 6263, 9897, 1572, 13285, 538, 707, 1560, 2394, 789, 3914, 707, 2634, 269, 901, 568, 851, 540, 1018, 649, 1289, 12214, 6530, 910, 621, 2090, 875, 938, 12058, 543, 4703, 960, 1927, 547, 1711, 4555, 267, 4664, 267, 543, 5615, 15323, 299, 1176, 781, 4064, 11097, 2989, 609, 10761, 269, 834, 32452, 256, 1924, 267, 950, 594, 3548, 1250, 26345, 12897, 267, 1250, 2634, 6487, 594, 993, 6126, 1932, 12482, 257, 2750, 18075, 1318, 10590, 14452, 7665, 269, 834, 28848, 8949, 1426, 666, 849, 1118, 721, 5305, 6126, 10399, 269, 1656, 1256, 950, 649, 3207, 267, 938, 12058, 948, 1852, 1271, 1919, 899, 7244, 543, 26470, 865, 649, 3251, 2635, 3010, 3086, 811, 8049, 982, 2479, 267, 15039, 4941, 547, 1451, 811, 827, 713, 4241, 4276, 1063, 1200, 2247, 543, 1560, 269, 3245, 602, 1554, 4464, 267, 1352, 4797, 3695, 519, 13300, 540, 12214, 6530, 609, 1200, 15962, 4587, 7015, 267, 2141, 11235, 547, 3605, 1007, 11580, 6456, 1369, 9887, 269, 8625, 267, 789, 4121, 827, 1114, 2081, 938, 8186, 543, 4703, 5968, 1169, 2582, 1554, 267, 2436, 28617, 267, 1565, 267, 4730, 267, 610, 29681, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 17951, 601, 1306, 30790, 1695, 11313, 1839, 267, 513, 23798, 2101, 693, 634, 5441, 540, 654, 334, 8803, 267, 729, 6444, 585, 1200, 7029, 547, 1857, 3028, 543, 1514, 1689, 676, 519, 20965, 1432, 616, 519, 4876, 610, 10927, 1153, 3681, 585, 23798, 32407, 888, 32507, 14396, 568, 513, 23499, 2101, 602, 3947, 1053, 4598, 547, 7350, 267, 6530, 267, 7998, 267, 6138, 267, 2780, 2257, 267, 543, 824, 10459, 607, 789, 960, 547, 1174, 519, 2634, 543, 519, 1560, 779, 8401, 1062, 269, 589, 4110, 538, 23798, 568, 1434, 7041, 547, 960, 538, 2564, 1382, 610, 547, 11654, 2564, 610, 10927, 1153, 269, 4107, 20021, 538, 23798, 689, 634, 5441, 540, 654, 334, 8803, 979, 547, 10927, 610, 2564, 1153, 267, 1247, 1866, 723, 9411, 519, 2816, 2344, 607, 3173, 693, 10506, 610, 693, 513, 6280, 563, 32507, 14396, 693, 634, 5441, 540, 654, 334, 8803, 454, 10743, 945, 2101, 538, 23798, 693, 634, 5441, 540, 654, 334, 8803, 786, 1265, 519, 6030, 616, 23499, 543, 1683, 513, 2178, 5748, 538, 519, 9443, 269, 4841, 3442, 547, 13404, 538, 5042, 543, 8965, 5778, 338, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25787, 1315, 4284, 8344, 10017, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 604, 10321, 589, 284, 6523, 342, 16210, 266, 7562, 342, 339, 329, 645, 284, 5430, 530, 2483, 9223, 692, 258, 1403, 10321, 589, 284, 6523, 342, 16210, 266, 7562, 342, 339, 329, 645, 284, 5430, 530, 339, 270, 273, 1775, 266, 7562, 342, 339, 10768, 616, 3252, 540, 942, 1287, 519, 1871, 540, 512, 693, 799, 789, 616, 26667, 547, 1142, 824, 568, 692, 20911, 4953, 270, 21357, 1401, 4461, 454, 30125, 454, 11405, 454, 4792, 454, 275, 269, 271, 630, 272, 16863, 2020, 2180, 23585, 568, 13902, 692, 810, 589, 11065, 284, 271, 692, 284, 6523, 583, 5430, 530, 339, 270, 273, 266, 7562, 530, 339, 270, 273, 7562, 342, 339, 284, 271, 692, 284, 5430, 26028, 339, 2914, 339, 270, 273, 6661, 271, 692, 284, 6523, 26028, 339, 270, 273, 6661, 271, 815, 530, 339, 270, 273, 284, 11027, 270, 273, 692, 284, 339, 284, 11027, 11320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2710, 4701, 616, 6534, 547, 1164, 2157, 540, 2566, 538, 519, 1576, 540, 741, 3924, 543, 616, 3226, 11630, 547, 7680, 25794, 269, 22210, 719, 814, 2484, 23568, 6286, 593, 7189, 282, 2550, 543, 519, 3782, 1062, 269, 24930, 7680, 25794, 616, 4080, 547, 581, 693, 513, 2362, 1981, 540, 1818, 4057, 3664, 282, 4159, 20935, 10182, 4724, 2550, 282, 1118, 811, 2564, 6959, 282, 543, 723, 2352, 3347, 609, 1071, 22086, 619, 269, 22210, 719, 1851, 7189, 849, 4679, 1981, 540, 4965, 282, 4160, 282, 3207, 18063, 282, 9854, 282, 4568, 543, 3075, 21568, 282, 29281, 14524, 282, 16349, 16468, 543, 5310, 1034, 12517, 11980, 269, 17796, 540, 2566, 538, 2564, 2259, 949, 2039, 689, 519, 4664, 16109, 538, 519, 2796, 540, 3461, 1416, 547, 519, 1604, 538, 799, 7189, 2259, 269, 634, 6708, 540, 25794, 949, 4268, 4470, 593, 519, 2259, 4259, 282, 2027, 640, 543, 4657, 960, 1604, 269, 4197, 6422, 1981, 2188, 2404, 609, 25794, 949, 948, 721, 1020, 2994, 585, 7303, 543, 8156, 25794, 269, 2368, 540, 891, 2994, 786, 581, 12649, 538, 713, 1957, 563, 21292, 281, 25794, 282, 8296, 9854, 282, 6043, 282, 960, 6278, 282, 9036, 2566, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7705, 281, 19850, 7585, 267, 594, 4862, 596, 2811, 2469, 547, 6792, 585, 16314, 256, 2334, 781, 865, 3579, 256, 5620, 596, 2479, 1044, 972, 1354, 2496, 7692, 281, 3143, 267, 621, 781, 1250, 1101, 942, 269, 594, 6415, 2731, 9599, 547, 2119, 1007, 3536, 543, 2263, 519, 2528, 780, 8334, 281, 2334, 4992, 899, 1187, 256, 594, 4682, 547, 744, 1314, 20403, 267, 6792, 2063, 1032, 609, 1250, 1920, 269, 898, 729, 971, 513, 1390, 1995, 780, 7692, 281, 7937, 267, 602, 781, 519, 1747, 1634, 585, 922, 6575, 543, 13492, 267, 1318, 286, 3733, 3158, 5018, 1945, 827, 602, 780, 8334, 281, 8786, 267, 4010, 256, 1284, 10272, 2199, 14252, 543, 4718, 29048, 2870, 4190, 11308, 18810, 267, 20341, 267, 543, 18955, 20955, 269, 1358, 4312, 4121, 891, 1983, 689, 741, 11937, 936, 1082, 5481, 780, 7692, 281, 26272, 267, 602, 1590, 581, 5863, 547, 4585, 269, 1809, 1018, 952, 594, 1810, 1405, 1174, 1018, 789, 2811, 6031, 2094, 594, 1810, 1405, 3717, 5053, 2496, 8334, 281, 5213, 1405, 5855, 267, 1560, 1893, 543, 1159, 3796, 979, 513, 1279, 1259, 538, 14379, 269, 9578, 267, 596, 666, 2141, 946, 513, 8144, 813, 610, 2307, 2576, 945, 14753, 1312, 2296, 543, 5053, 547, 948, 596, 856, 780, 7692, 281, 6153, 1448, 256, 1548, 3116, 1705, 596, 798, 538, 744, 1314, 20403, 2496, 8334, 281, 1284, 6836, 2757, 8286, 899, 23984, 2297, 267, 25970, 3905, 10217, 267, 543, 713, 6653, 1521, 1572, 12137, 340, 5451, 339, 3421, 269, 1656, 649, 1256, 3576, 513, 5986, 1362, 547, 1451, 875, 547, 1118, 8076, 11204, 1426, 780, 7692, 281, 18181, 1362, 26834, 2334, 4992, 15813, 256, 2052, 3214, 6443, 1932, 2496, 8334, 281, 25999, 256, 8866, 666, 7119, 543, 1451, 875, 547, 1118, 12475, 25022, 609, 519, 17137, 269, 3807, 3314, 547, 1246, 3106, 3652, 538, 519, 10051, 267, 899, 11067, 707, 3946, 543, 1373, 6297, 2282, 8325, 3615, 780, 7692, 281, 2986, 1576, 256, 8881, 568, 1271, 1100, 2339, 1141, 596, 616, 269, 8729, 585, 4687, 782, 713, 9623, 267, 7705, 269, 594, 1745, 811, 5423, 1631, 780, 8334, 281, 1411, 2811, 10950, 267, 7585, 256, 5457, 267, 950, 10707, 267, 621, 781, 1898, 547, 2463, 2199, 9821, 543, 5389, 269, 1635, 3257, 602, 267, 596, 3513, 1711, 12300, 2833, 543, 2318, 4205, 609, 519, 1004, 596, 2743, 780, 7692, 281, 20944, 621, 256, 2142, 1930, 16490, 543, 2015, 622, 269, 594, 1589, 594, 666, 6023, 602, 780, 8334, 281, 17828, 256, 3767, 596, 2811, 4712, 585, 606, 6909, 3460, 538, 6792, 269, 1520, 328, 6759, 338, 267, 993, 15282, 2439, 7692, 281, 670, 770, 320, 561, 826, 2998, 267, 7705, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8702, 547, 744, 1314, 20403, 267, 513, 21649, 585, 519, 12823, 256, 901, 3018, 17489, 1920, 7045, 1236, 2354, 519, 678, 5241, 1472, 547, 1445, 593, 519, 7013, 11204, 2749, 781, 1082, 1642, 2074, 269, 10361, 547, 519, 2344, 547, 521, 760, 838, 5367, 3905, 10217, 267, 7938, 1905, 23984, 2297, 267, 543, 32696, 538, 861, 745, 6853, 12137, 340, 5451, 1729, 548, 269, 7591, 12404, 543, 3343, 1851, 519, 3504, 17633, 540, 22757, 19186, 17505, 267, 1287, 19584, 519, 3148, 781, 4583, 27656, 2761, 338, 538, 2199, 14252, 269, 5685, 880, 909, 609, 513, 6917, 5986, 13186, 267, 1141, 3214, 666, 1205, 3946, 6823, 607, 789, 1118, 12475, 25022, 609, 513, 2199, 2098, 777, 1774, 322, 2146, 563, 16032, 540, 744, 1314, 20403, 454, 28095, 737, 574, 330, 574, 17631, 723, 8268, 744, 1314, 20403, 779, 2620, 4739, 6194, 5389, 269, 2201, 11564, 547, 6917, 2950, 267, 596, 666, 1294, 875, 29048, 723, 4378, 539, 741, 1983, 630, 7945, 607, 3574, 26002, 267, 23907, 543, 20955, 264, 936, 1082, 5481, 269, 1411, 666, 849, 5490, 4514, 883, 744, 1314, 20403, 779, 1686, 593, 513, 6972, 4663, 1472, 519, 8978, 4099, 269, 2368, 2161, 602, 744, 1314, 20403, 779, 6574, 14951, 568, 922, 11477, 2245, 269, 634, 1655, 1259, 547, 1451, 811, 267, 1247, 512, 8463, 930, 540, 6792, 779, 20923, 10346, 267, 568, 547, 1491, 513, 3434, 514, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 30728, 1315, 6792, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 634, 1977, 11595, 10378, 9218, 540, 519, 2296, 5678, 267, 476, 275, 628, 9990, 454, 268, 7755, 269, 674, 2683, 609, 1309, 591, 985, 563, 268, 7755, 269, 1763, 10603, 1782, 513, 1309, 591, 333, 267, 607, 538, 3178, 267, 5318, 1145, 267, 610, 1198, 281, 513, 1309, 591, 333, 748, 586, 11921, 282, 1309, 591, 333, 748, 30172, 563, 268, 7755, 269, 22845, 674, 2683, 609, 19659, 610, 17860, 2127, 282, 24338, 563, 5228, 22816, 5406, 776, 267, 11300, 12780, 21922, 270, 18704, 25575, 833, 17821, 454, 268, 7755, 269, 23401, 513, 1309, 591, 333, 282, 5318, 454, 268, 7755, 269, 2348, 1082, 1309, 591, 985, 454, 5228, 519, 717, 26214, 4528, 540, 519, 20985, 4139, 9218, 540, 2296, 454, 268, 7755, 269, 9509, 540, 1309, 591, 985, 282, 23401, 513, 1309, 591, 333, 610, 1804, 13570, 282, 17860, 563, 268, 7755, 269, 674, 2683, 609, 1507, 19659, 610, 2281, 563, 268, 7755, 269, 11109, 513, 3280, 3361, 676, 513, 13570, 563, 5228, 634, 11416, 9218, 543, 20676, 31638, 454, 268, 4813, 539, 883, 513, 1309, 591, 333, 610, 1309, 591, 985, 282, 5627, 1309, 591, 985, 282, 8754, 267, 7184, 17860, 539, 856, 282, 2620, 1606, 564, 281, 607, 267, 1309, 591, 333, 748, 10239, 610, 7725, 282, 1309, 591, 333, 748, 4064, 563, 268, 674, 2683, 609, 1507, 19659, 267, 607, 513, 26703, 282, 1427, 545, 4327, 282, 9932, 1260, 5523, 563, 268, 519, 25558, 573, 9240, 913, 630, 6518, 1294, 267, 896, 25558, 573, 1916, 268, 769, 4620, 5766, 1429, 344, 267, 24338, 610, 5738, 7781, 281, 4294, 547, 7725, 930, 540, 4171, 6886, 723, 1044, 6569, 676, 3070, 563, 5228, 6478, 15187, 476, 274, 269, 271, 14645, 476, 1220, 277, 676, 23134, 2160, 269, 2353, 2924, 11603, 563, 268, 7755, 269, 1373, 610, 11021, 513, 1309, 591, 333, 454, 268, 7755, 269, 4904, 609, 15466, 5609, 4926, 543, 5827, 540, 4742, 1253, 2105, 543, 14461, 607, 519, 1267, 540, 1373, 4904, 609, 1973, 454, 28989, 267, 1100, 552, 1399, 332, 3098, 1336, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12163, 287, 10461, 281, 982, 5334, 330, 712, 11927, 454, 20701, 692, 5035, 4578, 9743, 766, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 4183, 318, 19066, 2187, 1038, 1582, 8807, 324, 1155, 318, 19066, 815, 4183, 318, 19066, 28329, 1363, 19638, 3698, 1239, 318, 13318, 1734, 15461, 9078, 1235, 16597, 318, 13318, 1734, 2187, 825, 5727, 3519, 591, 1206, 519, 4183, 10321, 540, 513, 1592, 540, 1239, 318, 13318, 1734, 547, 1079, 8638, 540, 1239, 7311, 454, 11434, 547, 519, 1535, 267, 586, 7852, 269, 10331, 625, 547, 2665, 1141, 519, 21370, 6041, 540, 1239, 538, 519, 3097, 11434, 1079, 21021, 2230, 568, 2877, 563, 11434, 5727, 3097, 825, 585, 1239, 318, 27349, 538, 1239, 318, 13318, 1734, 912, 1038, 952, 1239, 318, 27349, 8807, 324, 1155, 318, 19066, 25915, 11203, 476, 273, 912, 2018, 1820, 2891, 763, 1239, 1058, 723, 1152, 476, 273, 2934, 23528, 2018, 2132, 28329, 825, 1535, 318, 9471, 815, 1496, 11907, 318, 27349, 8807, 324, 1155, 318, 19066, 314, 271, 316, 585, 1239, 318, 27349, 538, 1239, 318, 13318, 1734, 2639, 825, 586, 318, 9471, 815, 1496, 11907, 318, 27349, 8807, 324, 1155, 318, 19066, 314, 272, 316, 585, 1239, 318, 27349, 538, 1239, 318, 13318, 1734, 2639, 825, 2132, 1535, 318, 9471, 267, 586, 318, 9471 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1692, 519, 6481, 1062, 1568, 538, 7977, 454, 7712, 476, 3192, 279, 267, 519, 7969, 2199, 3782, 1062, 814, 1044, 13950, 676, 519, 2817, 2657, 6796, 267, 799, 2488, 8471, 1072, 3795, 3842, 519, 6388, 540, 519, 4419, 714, 1470, 5842, 527, 9222, 9294, 1308, 324, 630, 7704, 301, 1040, 5272, 17055, 538, 7977, 666, 11578, 1863, 540, 5279, 609, 519, 9399, 301, 269, 4595, 476, 1960, 279, 267, 519, 3003, 9399, 301, 1062, 568, 14102, 676, 519, 4525, 998, 513, 6237, 3454, 269, 4475, 267, 1142, 3148, 568, 3743, 585, 4509, 922, 1378, 2883, 3666, 563, 763, 9399, 301, 1152, 6227, 6296, 1416, 281, 2489, 4915, 267, 12963, 338, 267, 5959, 1416, 267, 14934, 928, 19223, 267, 30674, 267, 3092, 269, 14904, 798, 711, 723, 547, 2628, 585, 741, 15360, 607, 519, 4387, 568, 6976, 2047, 676, 519, 3148, 563, 1103, 2489, 267, 519, 7969, 3782, 1062, 2488, 2298, 2564, 1416, 563, 14106, 1746, 513, 4387, 538, 7977, 454, 2026, 851, 540, 519, 8471, 1072, 3795, 267, 13288, 717, 11679, 630, 4364, 4815, 1019, 1340, 580, 20377, 264, 1294, 741, 2550, 538, 2199, 1072, 4559, 630, 4785, 299, 1040, 1358, 616, 782, 3557, 15696, 626, 1229, 855, 616, 2901, 3540, 22063, 610, 723, 741, 4357, 2259, 269, 6184, 3293, 2818, 616, 1863, 547, 3442, 741, 1378, 13288, 13382, 563, 8256, 738, 725, 609, 3557, 15696, 626, 1229, 7189, 538, 2199, 1072, 4559, 616, 1863, 563, 2026, 519, 1857, 3782, 1062, 2488, 1863, 1416, 267, 621, 568, 1419, 32036, 4765, 543, 972, 949, 581, 1279, 7996, 2053, 6466, 538, 519, 4357, 1062, 267, 7996, 2053, 616, 10156, 855, 7189, 685, 12375, 616, 1454, 2362, 563, 2252, 596, 616, 711, 10805, 609, 519, 9399, 301, 543, 5077, 513, 4387, 689, 519, 4357, 1062, 267, 596, 786, 723, 547, 2628, 1063, 24843, 2004, 543, 24843, 3199, 585, 513, 15360, 609, 513, 13382, 563, 1103, 7977, 267, 1906, 7189, 3717, 2296, 855, 930, 2564, 6703, 5497, 585, 14666, 1683, 2296, 18702, 2564, 5234, 563, 2791, 666, 1152, 1294, 11285, 7189, 1310, 1373, 5219, 676, 519, 13382, 269, 3171, 525, 2039, 689, 476, 1724, 547, 476, 3607, 20789, 338, 593, 3328, 585, 29492, 538, 2199, 1072, 4559, 630, 4785, 299, 264, 676, 3557, 15696, 626, 1229, 12665, 563, 2026, 585, 519, 4357, 5823, 267, 15360, 12375, 4268, 689, 24843, 1911, 547, 24843, 1220, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9202, 942, 596, 616, 8384, 11176, 543, 596, 1294, 707, 5172, 10116, 3724, 12235, 454, 320, 1780, 12032, 267, 1589, 827, 519, 2979, 1031, 538, 4276, 609, 6192, 4429, 1692, 1772, 4569, 13242, 538, 31336, 4252, 286, 17502, 1356, 13565, 4569, 18768, 269, 10606, 593, 519, 454, 293, 1752, 269, 11822, 1840, 543, 12408, 2049, 593, 1169, 11176, 1404, 269, 9717, 602, 513, 4429, 9802, 476, 2767, 267, 476, 1220, 280, 3267, 1261, 729, 24330, 609, 513, 4901, 540, 519, 4999, 540, 715, 14566, 1239, 543, 454, 3901, 24136, 269, 594, 8815, 602, 519, 11100, 540, 6128, 543, 715, 14566, 11176, 4429, 4178, 269, 2532, 2593, 30819, 19834, 286, 336, 284, 1692, 4569, 1772, 13242, 538, 25624, 286, 261, 341, 284, 8980, 339, 302, 271, 571, 291, 528, 342, 454, 13356, 476, 1626, 267, 476, 1001, 274, 3267, 25624, 543, 4569, 3267, 9752, 4569, 3414, 31336, 4252, 281, 10609, 531, 559, 9509, 518, 693, 454, 307, 3633, 343, 17809, 2064, 3267, 13174, 543, 22505, 281, 1215, 16258, 2052, 2974, 664, 12157, 339, 14840, 888, 293, 2393, 4252, 543, 519, 25355, 14497, 281, 1703, 781, 4569, 538, 11846, 286, 10812, 875, 519, 454, 303, 17233, 17671, 11532, 666, 581, 1031, 547, 3313, 519, 3845, 602, 513, 1780, 543, 513, 4429, 5938, 600, 5026, 616, 513, 1390, 1259, 547, 946, 2979, 538, 513, 1483, 1272, 3510, 269, 8866, 1419, 1294, 454, 4118, 607, 606, 11991, 9409, 269, 898, 666, 581, 5363, 547, 1397, 873, 602, 2979, 568, 1031, 676, 454, 763, 15497, 1062, 540, 1852, 263, 9169, 290, 264, 568, 519, 1292, 1062, 1031, 676, 519, 22275, 525, 585, 454, 6570, 532, 593, 519, 11176, 2361, 269, 7527, 1227, 267, 713, 1062, 2488, 519, 1655, 4429, 4178, 269, 613, 5852, 10339, 11306, 2593, 7933, 5877, 338, 270, 12385, 24136, 593, 519, 17502, 1356, 12197, 15005, 454, 3901, 24136, 540, 13558, 676, 1210, 16387, 25285, 267, 513, 23061, 2861, 454, 613, 5852, 3267, 7612, 476, 273, 281, 901, 568, 519, 2203, 602, 729, 1031, 547, 3605, 519, 3830, 540, 563, 1692, 1279, 786, 11176, 9946, 3251, 609, 741, 2319, 267, 543, 1281, 13007, 2339, 888, 300, 2117, 4639, 27180, 875, 6310, 1379, 4031, 666, 8774, 1769, 593, 454, 10743, 786, 5173, 2319, 13452, 720, 538, 513, 11176, 3014, 1210, 1129, 2338, 269, 4429, 29324, 1020, 513, 2631, 540, 2338, 543, 875, 789, 616, 1031, 676, 721, 4948, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 1576, 11414, 519, 9238, 540, 12380, 7387, 9001, 519, 12363, 267, 930, 8226, 593, 536, 1662, 7387, 269, 1284, 3580, 4983, 9867, 2934, 540, 519, 7387, 267, 585, 3236, 267, 7097, 532, 267, 9001, 20848, 899, 6067, 335, 267, 6822, 267, 595, 267, 543, 3131, 331, 5752, 538, 12380, 269, 6513, 32694, 538, 1840, 547, 519, 3758, 4070, 269, 3958, 267, 596, 786, 1451, 875, 547, 6330, 519, 17609, 4070, 269, 32672, 531, 519, 9115, 540, 1463, 1559, 267, 835, 540, 519, 14724, 2081, 547, 9787, 543, 960, 609, 3758, 27704, 269, 1215, 596, 666, 21613, 267, 4483, 267, 543, 1491, 2476, 1463, 1559, 543, 5638, 1239, 563, 2171, 3580, 10123, 10800, 331, 1455, 4082, 16105, 1369, 519, 2796, 540, 4974, 6067, 335, 269, 3973, 946, 1018, 649, 1631, 723, 7691, 607, 649, 960, 563, 763, 1576, 568, 538, 3670, 3631, 543, 16621, 936, 476, 275, 3108, 540, 1629, 657, 543, 5188, 563, 16665, 20043, 2904, 6435, 1411, 2336, 288, 1906, 540, 519, 5396, 616, 607, 9944, 10778, 5472, 519, 4773, 827, 1463, 1559, 454, 8139, 543, 7231, 609, 3758, 27704, 454, 290, 641, 3539, 267, 22151, 543, 16701, 21899, 5638, 1239, 563, 25219, 559, 1944, 2699, 3925, 543, 10398, 532, 563, 13014, 4291, 17014, 20072, 454, 24868, 1963, 543, 875, 596, 666, 946, 873, 454, 763, 952, 25195, 543, 1629, 657, 454, 5719, 2718, 609, 4971, 1899, 7440, 454, 299, 334, 3591, 630, 3602, 553, 267, 11489, 267, 543, 585, 994, 763, 2013, 25195, 454, 13349, 4082, 16105, 454, 24868, 539, 20767, 13139, 1436, 6201, 454, 296, 4126, 596, 616, 513, 851, 540, 803, 607, 649, 3605, 12380, 15217, 563, 1432, 616, 519, 29476, 888, 12179, 12380, 10021, 3320, 1759, 11554, 3590, 454, 22033, 593, 1022, 16710, 7412, 568, 2422, 995, 267, 2705, 3502, 12708, 454, 1432, 993, 594, 2469, 547, 1205, 689, 713, 1576, 888, 7476, 21733, 20557, 609, 12910, 1400, 1360, 6356, 1947, 454, 19138, 22034, 14644, 338, 547, 14825, 622, 667, 583, 625, 454, 28557, 3131, 576, 633, 540, 1234, 613, 343, 609, 717, 10517, 543, 20767, 454, 1432, 779, 519, 3077, 2344, 888, 12179, 645, 5142, 12027, 5808, 20126, 547, 5530, 12729, 12380, 26425, 27491, 454, 32153, 945, 18771, 5696, 2313, 909, 12729, 12380, 26425, 16869, 1047, 454, 314, 308, 323, 5519, 316, 13159, 12380, 26425, 14691, 1280, 681, 809, 625, 454, 3528, 11581, 308, 332, 9394, 9142, 454, 307, 8475, 2986, 12474, 1570, 281, 772, 323, 5519, 454, 21920, 281, 2185, 25980, 454, 9288, 5501, 618, 281, 476, 273, 269, 273, 26838, 454, 11917, 1555, 15214, 15062, 630, 295, 739, 539, 2201, 717, 7804, 633, 994, 19400, 15214, 15062, 630, 295, 739, 539, 2201, 717, 7804, 633, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 2476, 267, 5030, 1079, 1655, 2828, 3957, 7665, 543, 645, 7578, 269, 1358, 6068, 7836, 942, 1927, 543, 2469, 593, 6264, 9035, 269, 1809, 3006, 267, 789, 1131, 8044, 936, 25064, 1919, 543, 4769, 1405, 2141, 1174, 1142, 824, 781, 1448, 540, 2070, 780, 3080, 1554, 267, 1247, 3695, 513, 9589, 4104, 267, 789, 16686, 2390, 513, 8797, 2025, 3529, 945, 1223, 3717, 269, 834, 15916, 267, 15210, 2828, 2437, 1767, 519, 3529, 269, 834, 3963, 798, 596, 1413, 865, 13347, 12482, 16655, 6045, 267, 834, 2171, 941, 4730, 938, 5172, 3014, 267, 855, 1287, 649, 3323, 19163, 827, 945, 4465, 269, 1284, 1810, 1405, 917, 875, 547, 1294, 1919, 689, 1142, 824, 781, 5380, 3010, 21202, 327, 267, 594, 1294, 2437, 21330, 519, 3529, 269, 834, 296, 917, 1945, 602, 949, 948, 269, 898, 781, 1572, 1412, 332, 785, 6888, 8339, 14348, 596, 899, 803, 547, 4001, 596, 12482, 289, 7578, 543, 7665, 8815, 267, 11235, 547, 1451, 4376, 602, 1522, 1118, 741, 11505, 6793, 269, 634, 3529, 6026, 873, 875, 547, 1445, 593, 741, 7362, 543, 2628, 3007, 547, 741, 4555, 1510, 10385, 269, 901, 5280, 873, 1831, 811, 3222, 540, 741, 4606, 543, 6547, 780, 2026, 789, 4797, 547, 2259, 11009, 267, 789, 4362, 789, 3459, 547, 5469, 11029, 2242, 538, 1142, 824, 781, 7215, 543, 17267, 1282, 7440, 269, 901, 4847, 873, 547, 1174, 835, 1776, 781, 2798, 540, 2070, 1454, 4443, 256, 4256, 22195, 2968, 7864, 543, 1447, 7920, 1317, 789, 1631, 6785, 875, 547, 5963, 6432, 547, 1142, 824, 1510, 3478, 17872, 610, 14220, 780, 3719, 711, 782, 729, 3501, 282, 4166, 1310, 13215, 6568, 267, 789, 5185, 513, 4161, 789, 22821, 1405, 4397, 910, 7487, 2576, 3116, 781, 1928, 1500, 873, 1616, 547, 4368, 621, 5612, 267, 1256, 952, 789, 7948, 1405, 269, 1717, 267, 789, 4121, 602, 14344, 543, 16561, 1866, 262, 9620, 568, 1869, 3407, 267, 1256, 950, 3435, 5749, 1405, 14678, 2139, 780, 4517, 3976, 267, 7665, 543, 645, 7578, 8120, 1753, 5923, 518, 982, 2479, 1354, 267, 16734, 602, 4352, 789, 3112, 4194, 1169, 1966, 1318, 2476, 267, 1620, 1142, 824, 7184, 786, 3136, 547, 3142, 873, 6251, 1927, 593, 741, 3460, 6619, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 22081, 666, 8026, 11009, 2087, 6568, 538, 2078, 6384, 888, 303, 847, 6005, 11009, 666, 2087, 6568, 538, 2078, 6384, 676, 4543, 2043, 1831, 811, 1459, 543, 3222, 540, 741, 1378, 4555, 543, 4664, 267, 607, 1134, 607, 1346, 540, 741, 7649, 269, 1635, 1373, 4628, 1459, 267, 2043, 666, 19820, 883, 11029, 10291, 543, 26068, 2792, 267, 3850, 873, 547, 1732, 1174, 741, 7649, 781, 5133, 543, 4664, 780, 21790, 6888, 849, 2337, 2043, 1020, 513, 1875, 268, 9080, 8540, 531, 10182, 267, 799, 666, 6175, 1219, 839, 4369, 543, 2333, 519, 2702, 547, 6432, 543, 4431, 609, 6568, 269, 1635, 1373, 1875, 268, 9080, 8540, 531, 267, 2043, 666, 1711, 513, 2922, 267, 1930, 1604, 1141, 1312, 4891, 1745, 4862, 543, 6956, 780, 1103, 1840, 267, 11009, 2337, 2043, 11349, 8296, 543, 11587, 267, 799, 666, 1291, 547, 811, 2318, 4205, 543, 2799, 4606, 540, 4276, 543, 25055, 609, 741, 7649, 269, 1635, 14237, 891, 7907, 267, 2043, 666, 2087, 741, 2702, 547, 26003, 1125, 609, 9232, 692, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18257, 290, 4471, 19804, 1982, 320, 6446, 4557, 3873, 579, 2742, 1187, 23843, 535, 31247, 3890, 6446, 2256, 9346, 798, 529, 4164, 564, 4592, 281, 522, 6305, 10098, 6446, 967, 1664, 522, 1003, 3266, 513, 454, 5632, 4788, 552, 522, 856, 549, 9106, 5964, 1397, 267, 6446, 1583, 320, 19804, 27089, 2845, 4815, 263, 641, 322, 1308, 264, 2512, 18372, 694, 1583, 320, 1034, 2784, 334, 522, 340, 562, 14244, 14255, 512, 11253, 522, 454, 15263, 334, 632, 2301, 334, 535, 31247, 269, 18411, 3698, 535, 31247, 3799, 267, 1397, 25716, 2187, 825, 8173, 825, 25341, 6726, 320, 522, 535, 31247, 632, 19804, 1003, 3266, 563, 825, 2433, 12407, 562, 281, 744, 1003, 3266, 513, 1583, 2301, 5964, 454, 825, 2433, 12407, 1397, 281, 263, 641, 322, 1308, 264, 1034, 32057, 522, 340, 562, 14244, 513, 733, 320, 563, 825, 2433, 8873, 281, 744, 27089, 798, 535, 31247, 632, 19804, 1003, 3266, 562, 563, 825, 8173, 825, 535, 815, 476, 272, 454, 825, 585, 524, 538, 2039, 3799, 267, 476, 271, 267, 910, 272, 2187, 1038, 952, 1397, 912, 2018, 1820, 6262, 267, 1439, 8782, 5073, 1038, 3116, 912, 2018, 1820, 3488, 815, 22207, 1439, 8782, 5073, 1038, 535, 2608, 284, 524, 454, 825, 2132, 535, 692, 258, 25284, 320, 25867, 692, 2745, 6600, 31247, 263, 276, 4917, 15276, 6600, 31247, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 7838, 299, 281, 4179, 2517, 548, 564, 13892, 2593, 270, 30161, 648, 270, 16753, 11305, 731, 14672, 268, 776, 2389, 872, 270, 14530, 22812, 15479, 542, 270, 280, 866, 13045, 258, 20373, 454, 12163, 11693, 513, 562, 268, 776, 3529, 267, 1265, 922, 5021, 3178, 563, 763, 5021, 3178, 568, 519, 1297, 540, 9136, 2059, 519, 13074, 2619, 689, 519, 3597, 6843, 1524, 547, 519, 3097, 325, 691, 4554, 6978, 6843, 563, 301, 776, 6874, 872, 3403, 17626, 1436, 568, 6719, 538, 741, 1377, 1931, 21986, 531, 267, 1142, 1895, 540, 1453, 3097, 529, 9674, 676, 519, 14275, 1871, 630, 8450, 1806, 1916, 692, 7078, 476, 272, 1384, 19152, 281, 3597, 815, 1496, 272, 19885, 1638, 267, 274, 267, 273, 267, 275, 19885, 1638, 267, 276, 267, 277, 2639, 20479, 281, 476, 274, 7531, 7078, 476, 273, 1384, 19152, 281, 3597, 815, 1496, 272, 19885, 1638, 267, 273, 267, 274, 267, 275, 267, 276, 19885, 1638, 19885, 1638, 267, 277, 267, 278, 19885, 1638, 267, 279, 19885, 1638, 267, 280, 267, 1015, 19885, 1638, 19885, 1638, 267, 1556, 19885, 1638, 267, 1321, 19885, 1638, 267, 1724, 19885, 1638, 19885, 1638, 267, 1691, 2639, 20479, 281, 476, 276, 7531, 3519, 14259, 6493, 1384, 763, 2698, 1297, 540, 9136, 568, 538, 519, 2039, 1496, 271, 267, 476, 10441, 14073, 763, 3178, 540, 519, 562, 268, 776, 3529, 568, 1447, 982, 610, 3160, 547, 476, 1911, 271, 563, 20701, 3698, 3193, 291, 3704, 12749, 291, 1144, 27316, 267, 3178, 267, 3193, 5091, 3704, 2187, 476, 952, 6843, 568, 7183, 912, 825, 2132, 3193, 5091, 3704, 454, 476, 3193, 5091, 3704, 815, 3178, 952, 3178, 3436, 3193, 5091, 3704, 3116, 3193, 5091, 3704, 454, 476, 585, 1126, 538, 6843, 269, 18244, 912, 825, 952, 1126, 568, 711, 7183, 912, 8587, 3193, 5091, 3704, 815, 3193, 291, 3704, 12749, 291, 1144, 263, 18876, 267, 3178, 1341, 476, 272, 267, 3193, 5091, 3704, 994, 476, 2132, 3193, 5091, 3704, 19638, 3698, 3193, 291, 3704, 20172, 2187, 476, 2132, 3193, 291, 3704, 12749, 291, 1144, 20172, 267, 476, 272, 267, 476, 271, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25811, 3143, 3399, 17148, 616, 4010, 1018, 789, 3280, 899, 269, 1280, 930, 2601, 707, 2599, 1705, 711, 1376, 563, 16521, 2659, 6435, 13445, 12989, 454, 268, 10434, 18786, 5422, 1107, 12019, 267, 12182, 267, 5637, 2107, 3807, 2991, 4676, 3241, 532, 454, 268, 853, 6621, 1107, 13958, 3151, 853, 6621, 10819, 1107, 18833, 634, 20050, 454, 268, 5422, 4024, 3502, 3399, 1107, 1809, 23556, 27124, 267, 27910, 543, 3281, 1833, 3657, 6153, 454, 268, 5422, 1835, 3471, 855, 786, 711, 1376, 454, 268, 2659, 5422, 786, 3502, 9197, 1678, 610, 3399, 454, 268, 5422, 711, 4358, 268, 1455, 2042, 454, 268, 9197, 3471, 3873, 1111, 4211, 600, 3333, 10762, 19024, 32190, 13281, 17214, 14168, 454, 268, 23556, 27124, 13565, 3143, 3399, 10819, 268, 1432, 9701, 1411, 1684, 476, 2336, 268, 853, 6621, 10819, 268, 1432, 1684, 1411, 670, 792, 1879, 1411, 8347, 547, 3399, 2659, 2961, 888, 268, 23556, 3590, 13565, 10819, 1107, 3502, 11408, 14168, 1677, 16534, 454, 268, 23556, 16242, 3204, 22399, 1107, 9577, 1656, 23299, 12580, 454, 268, 9197, 3471, 3873, 1111, 19024, 32190, 24179, 290, 4916, 9984, 14818, 532, 1656, 1234, 10293, 454, 268, 3143, 27910, 1107, 1879, 2659, 5422, 9197, 3471, 1809, 674, 5661, 1677, 3399, 454, 268, 853, 6621, 16359, 24613, 14068, 1107, 898, 2904, 18224, 589, 23225, 2782, 940, 20050, 454, 268, 21253, 30066, 1107, 1548, 6496, 898, 1684, 7790, 1107, 1548, 19732, 839, 1879, 898, 674, 5661, 454, 9336, 2599, 3340, 2185, 2596, 5820, 547, 1376, 281, 6190, 1835, 21403, 3432, 267, 1434, 13496, 267, 7850, 27307, 6453, 630, 5976, 2953, 12557, 264, 543, 4492, 630, 320, 5266, 3638, 2011, 11721, 3241, 7848, 7620, 1040, 1924, 952, 707, 1286, 14543, 547, 1376, 267, 596, 666, 8263, 621, 19330, 835, 540, 891, 2185, 1898, 5820, 269, 1809, 799, 835, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 32377, 540, 29105, 13235, 291, 12969, 693, 744, 269, 28171, 602, 454, 9223, 1384, 763, 32377, 540, 29105, 4399, 9507, 346, 5723, 7374, 4151, 12969, 693, 4399, 9507, 346, 302, 23201, 28171, 602, 4399, 2765, 3189, 28072, 4067, 346, 541, 32710, 18773, 1422, 9507, 346, 3722, 289, 16585, 7346, 28072, 4067, 346, 541, 32710, 18773, 1422, 9507, 346, 3722, 291, 348, 14587, 7807, 2765, 3189, 9507, 346, 19447, 24828, 9507, 346, 23077, 3686, 16859, 11405, 1384, 2171, 616, 2016, 519, 1739, 29105, 609, 1109, 302, 1109, 553, 519, 10167, 1448, 540, 32377, 692, 2414, 28171, 281, 4399, 2765, 3189, 28072, 4067, 346, 541, 32710, 18773, 589, 595, 645, 264, 7346, 28072, 4067, 346, 541, 32710, 28256, 4120, 589, 595, 667, 14587, 7807, 2765, 346, 289, 744, 2410, 291, 744, 10592, 11693, 1109, 3722, 289, 30548, 1109, 3722, 291, 1109, 732, 1079, 12730, 593, 519, 1482, 3490, 1109, 3722, 692, 13706, 1109, 327, 1109, 553, 519, 3845, 1063, 1079, 6252, 5011, 692, 3086, 649, 1294, 602, 519, 4463, 540, 891, 1079, 12730, 1109, 3722, 289, 30548, 1109, 3722, 291, 1109, 732, 1482, 543, 616, 3160, 547, 1109, 327, 692, 3383, 692, 7445, 2765, 3189, 28072, 4067, 346, 541, 12917, 288, 595, 645, 264, 7346, 28072, 4067, 346, 541, 12917, 288, 595, 667, 14587, 7807, 2765, 3189, 2765, 346, 272, 2410, 273, 348, 1422, 9392, 589, 645, 1422, 9392, 554, 7346, 2765, 346, 272, 2410, 273, 348, 1422, 9392, 595, 667, 1422, 9392, 554, 10592, 7807, 2765, 31505, 645, 2410, 290, 667, 348, 2507, 263, 272, 2020, 3086, 2015, 519, 12730, 1109, 288, 15477, 30548, 1109, 4596, 291, 1109, 514, 799, 692, 7445, 4120, 589, 744, 645, 7807, 4120, 595, 744, 667, 6911, 7445, 4120, 589, 645, 744, 7807, 4120, 744, 667, 595, 259, 263, 531, 1181, 894, 5086, 2020, 7445, 4120, 645, 589, 744, 7807, 4120, 667, 595, 589, 259, 263, 531, 1181, 894, 5086, 2020, 11997, 267, 4399, 28256, 4120, 744, 667, 595, 1422, 13678, 1422, 28256, 4120, 744, 645, 589, 6911, 7445, 23976, 1422, 2765, 31505, 744, 2410, 302, 595, 18098, 2765, 346, 289, 744, 2410, 291, 744, 18098, 2765, 31505, 645, 2410, 290, 667, 10592, 7445, 23976, 1422, 2765, 346, 289, 744, 2410, 291, 744, 18098, 2765, 31505, 645, 2410, 290, 667, 4151, 2507, 263, 273, 2020, 5804, 3830, 630, 272, 264, 543, 630, 273, 264, 649, 1205, 692, 7445, 2765, 21151, 678, 10490, 595, 645, 20972, 320, 678, 10490, 595, 667, 14587, 7807, 2765, 346, 289, 744, 2410, 291, 744, 10592, 17798, 6961, 602, 4399, 2765, 21151, 678, 7268, 28256, 4120, 589, 595, 645, 20972, 320, 678, 7268, 28256, 4120, 589, 595, 667, 14587, 7807, 2765, 346, 289, 744, 2410, 291, 744, 4151 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2745, 2891, 396, 501, 3522, 28027, 17221, 3264, 21508, 500, 272, 5602, 2745, 2891, 15916, 5124, 689, 10439, 22456, 32405, 2745, 2891, 396, 501, 3522, 28027, 17221, 3264, 21508, 500, 273, 5602, 577, 529, 5979, 272, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 10780, 21268, 8563, 3378, 3264, 24893, 25986, 6459, 3378, 19515, 577, 529, 5979, 273, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 11714, 4344, 18775, 3378, 3264, 24893, 25986, 6459, 3378, 19515, 7774, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 16068, 9686, 21170, 18194, 3264, 13953, 13150, 8563, 4138, 3264, 1341, 282, 910, 282, 1315, 15800, 20434, 2608, 19515, 604, 5106, 2652, 834, 266, 13426, 453, 453, 14310, 815, 630, 842, 263, 577, 529, 5979, 272, 264, 1341, 703, 263, 577, 529, 5979, 273, 4917, 453, 13537, 31114, 994, 19197, 5106, 2652, 29038, 13426, 453, 453, 14310, 815, 630, 842, 263, 577, 529, 5979, 272, 264, 910, 703, 263, 577, 529, 5979, 273, 4917, 453, 13537, 31114, 994, 19197, 5106, 2652, 834, 265, 13426, 453, 453, 14310, 815, 630, 842, 263, 577, 529, 5979, 272, 264, 2608, 703, 263, 577, 529, 5979, 273, 4917, 453, 13537, 31114, 994, 19197, 5106, 2652, 834, 270, 13426, 453, 453, 14310, 815, 630, 842, 263, 577, 529, 5979, 272, 264, 1315, 703, 263, 577, 529, 5979, 273, 4917, 453, 13537, 31114, 994, 12828, 912, 13537, 2891, 29551, 8563, 29391, 12811, 9924, 14359, 3264, 10528, 13077, 8563, 4138, 23783, 21162, 3264, 18194, 31606, 21162, 3264, 5602, 2745, 2891, 396, 501, 3522, 28027, 17221, 3264, 21508, 500, 274, 5602, 20204, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 28314, 19757, 19515, 604, 630, 842, 12169, 792, 264, 260, 1911, 264, 2525, 271, 912, 825, 952, 630, 842, 12169, 792, 264, 260, 6110, 264, 2525, 271, 912, 1038, 1820, 2891, 396, 497, 19757, 11714, 25986, 30718, 25974, 21162, 13953, 19515, 825, 3116, 912, 1038, 1820, 2891, 396, 497, 19757, 14359, 3264, 11714, 25986, 30718, 25974, 21162, 13953, 19515, 12828, 912, 825, 952, 630, 842, 12169, 792, 264, 260, 275, 264, 2525, 271, 912, 1038, 1820, 2891, 396, 497, 19757, 11714, 25986, 30718, 25974, 21162, 13953, 19515, 825, 3116, 912, 1038, 1820, 2891, 396, 497, 19757, 14359, 3264, 11714, 25986, 30718, 25974, 21162, 13953, 19515, 2745, 2891, 396, 501, 3522, 28027, 17221, 3264, 21508, 500, 275, 5602, 320, 272, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 476, 13077, 13194, 9261, 21268, 11714, 7549, 20977, 28027, 19515, 344, 8986, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 21660, 11012, 7549, 17201, 9841, 7549, 3378, 2843, 375, 20046, 11714, 9924, 18194, 3264, 20977, 3264, 16021, 11714, 7549, 20977, 9686, 19515, 320, 273, 30381, 272, 454, 328, 815, 476, 271, 454, 6112, 1775, 2999, 703, 12169, 8986, 2187, 825, 513, 273, 284, 15615, 5416, 273, 12684, 272, 269, 272, 454, 825, 1775, 23785, 272, 454, 2745, 2891, 10948, 3264, 16417, 13194, 834, 266, 344, 8986, 266, 257, 2843, 375, 20046, 263, 15671, 19757, 3522, 264, 11012, 11714, 7549, 20977, 9686, 21134, 834, 266, 320, 272, 266, 257, 11714, 9924, 10780, 17201, 7846, 10948, 4138, 16021, 834, 266, 1598, 5416, 273, 4917, 2745, 2891, 396, 501, 3522, 28027, 17221, 3264, 476, 276, 5602, 5228, 28184, 5793, 1104, 27661, 3097, 10174, 815, 570, 330, 4590, 10174, 26644, 2891, 396, 509, 4814, 22147, 13077, 9261, 9261, 3522, 21660, 5124, 5602, 10174, 269, 613, 5852, 2891, 4968, 343, 7742, 257, 9239, 16932, 272, 815, 22443, 29495, 6889, 15916, 1158, 5602, 16932, 272, 4877, 871, 10797, 10174, 6230, 664, 31467, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 22897, 2754, 5616, 814, 5950, 513, 1007, 546, 22259, 585, 922, 11422, 269, 589, 1507, 21963, 32120, 5526, 1354, 1346, 945, 4283, 519, 11422, 5496, 7498, 11386, 11422, 3755, 723, 6537, 519, 3007, 540, 546, 22259, 12400, 269, 1284, 616, 6158, 827, 519, 5373, 602, 5526, 950, 649, 1101, 4283, 519, 1292, 2985, 547, 3406, 269, 667, 22751, 616, 12400, 602, 6813, 12405, 267, 2027, 2395, 267, 610, 513, 2462, 2680, 269, 1284, 723, 2938, 602, 5616, 22316, 12400, 593, 1082, 2027, 2395, 971, 607, 4989, 476, 2537, 267, 2817, 590, 30371, 14879, 543, 5753, 779, 4303, 269, 3767, 519, 11422, 2501, 909, 609, 513, 1007, 5373, 563, 1432, 1281, 519, 1007, 5616, 546, 22259, 1611, 888, 2691, 649, 4283, 5616, 779, 5496, 267, 513, 6126, 2370, 21963, 32120, 6067, 1115, 721, 269, 634, 21963, 32120, 538, 519, 5373, 6799, 513, 536, 537, 21103, 5423, 547, 2099, 519, 4005, 269, 3371, 267, 621, 779, 519, 11422, 779, 2887, 476, 1708, 272, 546, 22259, 269, 4270, 267, 798, 596, 899, 519, 1007, 546, 22259, 888, 2690, 1346, 2713, 538, 3047, 779, 7187, 21571, 267, 519, 1313, 636, 2522, 1226, 514, 2135, 1200, 531, 1091, 519, 12625, 540, 5051, 10156, 2395, 543, 1454, 21617, 5210, 267, 607, 3047, 779, 7852, 540, 10047, 568, 21266, 1540, 676, 476, 2537, 269, 276, 5232, 3448, 547, 922, 10739, 1472, 519, 6129, 563, 17829, 2713, 5045, 540, 519, 20337, 2503, 547, 1294, 519, 6587, 609, 519, 5614, 1226, 514, 2135, 269, 1924, 789, 786, 7198, 3476, 2395, 543, 15911, 4365, 269, 5616, 5950, 922, 1007, 546, 22259, 6272, 2221, 267, 8204, 519, 2887, 543, 5614, 1226, 514, 2135, 525, 4358, 2221, 563, 11386, 1904, 539, 585, 513, 6126, 2370, 21963, 32120, 5373, 602, 6799, 513, 536, 537, 21103, 602, 9356, 519, 4162, 540, 1142, 4005, 269, 2060, 519, 19347, 546, 22259, 267, 519, 2754, 22842, 519, 12625, 540, 519, 1007, 4005, 269, 1280, 1346, 538, 519, 5087, 267, 519, 21963, 32120, 12217, 5835, 543, 10538, 3762, 267, 543, 585, 1346, 538, 519, 5045, 267, 621, 12217, 6505, 5810, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9741, 15207, 729, 865, 9599, 547, 4444, 1010, 1007, 11442, 2228, 256, 1261, 1185, 1044, 9494, 909, 27108, 2724, 585, 4374, 269, 2991, 1454, 1382, 267, 646, 1336, 519, 3501, 31942, 910, 513, 2706, 3579, 2230, 1025, 2120, 7784, 256, 1809, 1354, 14467, 1412, 5417, 547, 7047, 3299, 15207, 15422, 1018, 1010, 4116, 267, 15516, 269, 29443, 14794, 2141, 1767, 267, 968, 29490, 2638, 519, 8039, 17373, 1924, 267, 646, 1705, 780, 3080, 1880, 2689, 9575, 15207, 781, 3750, 269, 898, 1224, 267, 968, 23871, 1662, 1310, 1101, 946, 17373, 7937, 1100, 267, 2219, 15207, 269, 589, 2370, 7911, 3957, 16092, 5206, 519, 2689, 269, 3571, 1292, 24255, 729, 827, 519, 1025, 2120, 781, 2571, 1490, 30178, 19755, 3362, 267, 9561, 2681, 267, 543, 4947, 1055, 3533, 269, 4634, 1498, 16092, 22821, 1405, 20399, 1932, 2182, 1247, 4730, 267, 519, 1490, 30178, 1869, 13264, 6306, 269, 2334, 6157, 32131, 7282, 2439, 20755, 3240, 4682, 547, 2995, 1010, 2462, 11078, 21667, 827, 519, 2942, 2689, 1352, 14452, 267, 968, 11039, 267, 6148, 789, 1031, 621, 4636, 9495, 1358, 4956, 547, 1451, 811, 827, 2326, 543, 875, 1114, 4229, 666, 1860, 873, 269, 4635, 1585, 7622, 3688, 899, 12285, 13164, 267, 22796, 267, 543, 838, 9398, 267, 789, 7318, 1142, 6221, 781, 15006, 676, 7311, 3196, 9900, 1287, 24482, 9875, 269, 1677, 741, 9983, 267, 930, 3615, 4957, 3337, 950, 2614, 2604, 729, 4294, 267, 2147, 547, 1018, 5949, 609, 16092, 781, 2230, 1025, 2120, 7784, 780, 4415, 2417, 7634, 267, 21667, 6700, 602, 5310, 519, 10672, 1500, 606, 5470, 6721, 602, 1808, 16801, 540, 9162, 269, 14992, 3006, 1118, 9073, 1282, 2504, 267, 4611, 538, 1970, 7779, 2472, 269, 1717, 267, 891, 25768, 5370, 12582, 1405, 5581, 782, 25584, 689, 519, 1482, 6216, 269, 3807, 1317, 835, 2230, 1025, 2120, 814, 4617, 1490, 30178, 267, 1866, 1522, 1685, 1732, 896, 3339, 6165, 2175, 780, 8601, 1620, 891, 7399, 267, 15207, 7948, 1405, 21199, 1055, 1010, 22027, 269, 16828, 267, 646, 8359, 711, 547, 6718, 519, 2230, 1025, 2120, 7784, 267, 14045, 3079, 547, 4688, 909, 585, 1945, 3116, 269, 4014, 25922, 267, 15207, 4121, 3407, 4245, 827, 3621, 3741, 543, 7082, 4656, 269, 6884, 1919, 1810, 1405, 2490, 856, 4010, 607, 649, 4126, 267, 855, 1565, 689, 938, 2833, 2337, 721, 1332, 21273, 543, 6793, 1169, 1554, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 2791, 616, 6236, 2436, 547, 4444, 513, 1587, 269, 1411, 1413, 693, 519, 8039, 269, 14348, 519, 1739, 2689, 6175, 610, 2333, 519, 8458, 540, 596, 9140, 519, 1587, 286, 5623, 2140, 281, 2558, 1662, 1310, 1101, 946, 256, 8605, 2689, 281, 634, 1490, 30178, 593, 713, 616, 15265, 269, 594, 10288, 9553, 1934, 543, 6976, 2407, 3902, 543, 1058, 723, 8120, 621, 269, 901, 1826, 1490, 16824, 26642, 936, 5612, 543, 23209, 832, 543, 8813, 856, 269, 594, 4769, 1405, 1256, 2046, 1360, 2182, 267, 4769, 1405, 723, 513, 2603, 540, 12758, 593, 1426, 547, 1085, 712, 1055, 269, 769, 2536, 1640, 1587, 563, 288, 912, 763, 2016, 2689, 1131, 6175, 519, 8458, 540, 9140, 519, 1587, 269, 634, 2689, 8711, 2152, 609, 519, 1490, 30178, 267, 971, 607, 24208, 936, 267, 32396, 267, 543, 9991, 856, 1310, 519, 1101, 946, 267, 799, 6920, 606, 17071, 1587, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 306, 895, 31515, 11473, 16497, 692, 3519, 1061, 692, 258, 9046, 281, 14597, 606, 593, 5765, 5605, 592, 766, 3001, 693, 476, 12893, 5998, 10774, 32307, 513, 11931, 476, 4281, 276, 6953, 345, 3280, 689, 922, 521, 790, 333, 23130, 4908, 267, 538, 21636, 267, 568, 4607, 676, 513, 1268, 8384, 519, 593, 5765, 5605, 592, 766, 286, 634, 3432, 540, 3280, 593, 713, 1554, 568, 476, 24833, 544, 4882, 692, 30607, 17676, 16869, 8827, 692, 4131, 519, 3432, 540, 519, 3280, 581, 642, 342, 692, 11854, 539, 540, 519, 2707, 581, 5288, 692, 763, 4908, 4607, 676, 519, 1268, 607, 519, 5605, 592, 766, 4485, 568, 6829, 607, 1384, 7445, 28235, 346, 264, 346, 3189, 10400, 346, 325, 3686, 13925, 3189, 10400, 346, 334, 3686, 7346, 10400, 346, 284, 24828, 10400, 346, 325, 14990, 10400, 3189, 3847, 263, 4153, 2765, 346, 3189, 10400, 28452, 3686, 18155, 10400, 346, 342, 3686, 2410, 3189, 10400, 28452, 3686, 18155, 10400, 346, 342, 14990, 10400, 24877, 7346, 10400, 28452, 3686, 18155, 10400, 346, 338, 3686, 4153, 10400, 3189, 2431, 264, 32556, 3519, 31844, 476, 12893, 5998, 10774, 692, 3445, 260, 630, 4037, 16863, 994, 30607, 9046, 19672, 692, 22428, 606, 593, 5765, 5605, 592, 766, 3001, 693, 476, 12893, 5998, 10774, 32307, 513, 11931, 476, 4281, 276, 6953, 345, 3280, 689, 922, 521, 790, 333, 780, 1432, 4908, 267, 538, 21636, 267, 568, 4607, 676, 513, 1268, 8384, 519, 593, 5765, 5605, 592, 766, 286, 634, 3432, 540, 3280, 593, 713, 1554, 568, 476, 24833, 544, 4882 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2745, 19629, 333, 8702, 547, 32686, 1076, 23037, 1862, 26008, 315, 333, 257, 9239, 258, 4147, 19389, 31374, 281, 13242, 585, 18570, 2016, 1239, 454, 5035, 32686, 1076, 31374, 1384, 825, 1948, 4020, 528, 454, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 1873, 11474, 815, 8771, 454, 1038, 1582, 15126, 815, 7183, 454, 1038, 1582, 32324, 815, 7183, 692, 825, 1948, 1505, 547, 4990, 2016, 1592, 883, 26799, 1931, 454, 825, 1219, 4990, 4311, 267, 5044, 2187, 1038, 1582, 15126, 815, 5044, 454, 1038, 1582, 32324, 815, 7003, 263, 6783, 2020, 1038, 585, 1775, 538, 2039, 4311, 32324, 2187, 2018, 1582, 269, 1873, 11474, 815, 8771, 454, 2018, 585, 795, 538, 2039, 263, 271, 267, 1582, 32324, 910, 1775, 910, 476, 272, 2187, 3546, 952, 1582, 15126, 14728, 316, 3436, 1582, 15126, 14728, 1341, 476, 272, 14158, 7386, 1582, 269, 1873, 11474, 815, 6936, 454, 7386, 1582, 15126, 14728, 3910, 1582, 15126, 14728, 1341, 476, 272, 316, 815, 1582, 15126, 14728, 1341, 476, 272, 3910, 1582, 15126, 14728, 6540, 2018, 952, 711, 1582, 269, 1873, 11474, 912, 3546, 2736, 692, 825, 1948, 1505, 547, 4159, 15044, 5044, 454, 825, 1219, 4159, 4311, 2187, 1038, 1820, 19304, 4311, 15126, 264, 9239, 2125, 677, 815, 32686, 1076, 31374, 4590, 1551, 815, 1496, 1015, 267, 476, 736, 267, 476, 1789, 267, 476, 1428, 267, 476, 1839, 267, 476, 276, 267, 476, 1704, 267, 476, 273, 2639, 2745, 2891, 19152, 26275, 15311, 19515, 2745, 19304, 19906, 4917, 2745, 2891, 19515, 2125, 677, 31699, 19906, 994, 2745, 2891, 19515, 2745, 2891, 306, 9285, 26275, 15311, 19515, 2125, 677, 269, 5891, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 538, 12986, 1572, 700, 17427, 325, 1515, 335, 342, 961, 326, 14567, 978, 22690, 326, 690, 2044, 577, 342, 10455, 526, 13681, 342, 961, 961, 656, 903, 8270, 690, 690, 690, 5255, 267, 5030, 1079, 1655, 2828, 3957, 717, 30591, 543, 1403, 534, 269, 1358, 1312, 6068, 4730, 13558, 543, 26927, 3139, 540, 835, 1554, 10888, 519, 4583, 21730, 19067, 269, 1717, 267, 789, 8068, 1945, 9490, 8345, 910, 2462, 6887, 689, 4789, 3323, 11836, 741, 29658, 2439, 294, 30591, 4280, 1200, 2257, 4116, 267, 6004, 269, 623, 7676, 267, 834, 3963, 616, 891, 5458, 2296, 6887, 899, 25480, 2136, 543, 20506, 23051, 4847, 547, 1404, 538, 938, 21730, 19067, 8119, 6004, 269, 623, 7676, 6045, 267, 834, 2005, 782, 3323, 1082, 1296, 3516, 950, 519, 25696, 4941, 547, 1118, 519, 7484, 811, 3078, 676, 18136, 2178, 15712, 269, 901, 5280, 2333, 922, 8560, 543, 4547, 538, 8273, 9458, 3010, 2252, 534, 9289, 267, 834, 3719, 1018, 1198, 1705, 621, 723, 593, 4130, 21730, 6887, 899, 23600, 8119, 6004, 269, 623, 7676, 14452, 267, 834, 11039, 267, 1247, 930, 10150, 519, 4161, 267, 1866, 5156, 621, 3576, 2476, 3255, 585, 17033, 21730, 6887, 547, 19542, 269, 1306, 513, 1267, 267, 7864, 1004, 3357, 547, 4585, 2199, 3541, 9812, 2094, 3025, 3893, 9575, 909, 8384, 1152, 519, 2462, 4408, 3010, 3080, 1554, 267, 717, 30591, 543, 1403, 534, 4956, 547, 10891, 513, 5728, 9910, 2389, 712, 24842, 1572, 1412, 312, 337, 1261, 569, 660, 320, 595, 2096, 516, 580, 674, 778, 10086, 14311, 585, 6263, 21730, 15731, 269, 6478, 3262, 3533, 267, 543, 4166, 1256, 5716, 689, 519, 3677, 6887, 8678, 538, 256, 15526, 2699, 4593, 2642, 519, 7772, 540, 5885, 1753, 326, 3497, 15421, 780, 2414, 741, 9983, 267, 2705, 267, 519, 12044, 1560, 9307, 1007, 3652, 1818, 621, 16601, 585, 1169, 2319, 547, 7119, 538, 1312, 4663, 23788, 1107, 519, 2757, 21730, 19067, 543, 962, 337, 1261, 569, 660, 320, 595, 2096, 516, 580, 674, 778, 269, 4014, 7620, 25922, 267, 717, 30591, 267, 1403, 534, 267, 543, 741, 2828, 7691, 602, 3006, 6397, 2242, 666, 1291, 547, 3152, 13784, 543, 7071, 585, 782, 2157, 540, 1983, 269, 1656, 865, 267, 789, 4121, 602, 8508, 4763, 1223, 3142, 3666, 543, 10103, 267, 711, 1175, 538, 5026, 855, 849, 538, 1272, 543, 2257, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 18658, 729, 519, 1764, 540, 1519, 1875, 8862, 19977, 15731, 538, 519, 21730, 19067, 538, 519, 2250, 267, 543, 1946, 729, 713, 3375, 1500, 888, 763, 3375, 547, 1331, 1875, 8862, 19977, 15731, 538, 519, 21730, 19067, 729, 1500, 547, 2087, 519, 2298, 543, 28211, 540, 519, 29658, 269, 634, 10014, 540, 1875, 8862, 19977, 15731, 3459, 538, 519, 476, 866, 628, 2540, 543, 4797, 2394, 519, 476, 1960, 271, 338, 780, 22873, 6053, 267, 519, 10014, 540, 1875, 8862, 19977, 15731, 1185, 513, 2318, 1764, 593, 519, 21730, 19067, 269, 898, 2799, 519, 9043, 543, 31449, 540, 519, 29658, 267, 13631, 3677, 24921, 267, 543, 3177, 21730, 15731, 609, 519, 4316, 547, 14526, 1996, 6793, 11685, 269, 2368, 540, 519, 1875, 8862, 19977, 15731, 602, 15548, 538, 519, 21730, 19067, 3769, 25480, 2136, 267, 20506, 23051, 267, 543, 17451, 2023, 780, 4913, 267, 538, 519, 2663, 1296, 267, 519, 10014, 540, 1875, 8862, 19977, 15731, 1185, 513, 2942, 1764, 593, 519, 21730, 19067, 269, 21730, 15731, 5433, 602, 621, 14944, 1441, 519, 3483, 540, 519, 6735, 607, 513, 13686, 585, 519, 1655, 21730, 11176, 13007, 269, 634, 24921, 849, 8519, 607, 21730, 11655, 4503, 1719, 780, 1103, 476, 1960, 276, 267, 519, 25624, 2667, 665, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 296, 993, 1934, 547, 2995, 596, 513, 1650, 827, 513, 1747, 1572, 519, 8832, 24540, 630, 18199, 264, 540, 5245, 543, 922, 3460, 2509, 4742, 513, 1533, 269, 1809, 1354, 594, 2253, 267, 1577, 803, 6338, 930, 2596, 2035, 602, 786, 948, 596, 1174, 519, 1650, 1732, 780, 288, 8513, 568, 899, 513, 4130, 851, 540, 513, 2197, 267, 1454, 899, 875, 513, 2749, 3625, 568, 513, 4130, 851, 540, 513, 2749, 269, 634, 24857, 568, 4867, 513, 8513, 540, 5245, 855, 6499, 547, 1831, 513, 1533, 267, 799, 1797, 621, 786, 723, 811, 1379, 543, 7115, 780, 1103, 1931, 547, 1118, 713, 4755, 267, 789, 991, 547, 1711, 513, 11156, 910, 513, 1305, 540, 3652, 602, 14592, 875, 519, 2229, 1568, 543, 1018, 7060, 621, 814, 269, 1717, 267, 2870, 513, 1007, 11156, 666, 581, 7294, 267, 607, 1114, 2516, 540, 1004, 949, 723, 1114, 8369, 827, 1018, 1058, 581, 3769, 269, 901, 568, 1946, 513, 22275, 31558, 568, 1373, 4371, 910, 621, 568, 513, 1259, 585, 3025, 2713, 538, 519, 24857, 547, 8917, 593, 2436, 610, 711, 789, 3858, 609, 519, 6069, 11156, 780, 3086, 267, 1394, 547, 938, 1650, 269, 589, 812, 3957, 19162, 667, 1180, 553, 267, 945, 4564, 519, 24857, 538, 519, 8241, 5313, 14618, 267, 814, 9275, 909, 827, 1010, 4145, 3823, 519, 1184, 540, 2870, 519, 1007, 11156, 269, 1261, 11099, 602, 519, 3803, 4528, 540, 519, 11156, 2115, 547, 581, 6462, 676, 782, 17197, 528, 2103, 267, 2495, 3025, 945, 2729, 538, 519, 24857, 780, 4263, 519, 1482, 942, 267, 1776, 1895, 1572, 17197, 528, 2103, 585, 14891, 3557, 3125, 8179, 5796, 689, 513, 1283, 13338, 15818, 267, 27050, 10011, 534, 269, 1358, 4941, 547, 917, 952, 519, 2243, 1373, 4280, 538, 519, 22275, 31558, 729, 4023, 543, 4553, 519, 1876, 269, 4340, 547, 10011, 534, 267, 519, 2243, 1281, 711, 2743, 519, 4170, 540, 519, 4676, 699, 526, 4548, 2920, 1317, 621, 568, 711, 2312, 543, 1808, 2614, 780, 3383, 267, 4952, 952, 7705, 267, 945, 568, 1007, 547, 3047, 267, 6836, 547, 10891, 513, 2147, 2680, 585, 1200, 2146, 593, 9370, 269, 2701, 1522, 3068, 2591, 1932, 267, 971, 607, 1818, 2386, 3025, 23216, 593, 519, 3652, 543, 6998, 2312, 2055, 865, 602, 3025, 17358, 1018, 789, 616, 13359, 593, 269, 3807, 899, 593, 3047, 267, 891, 3157, 2154, 6297, 2219, 543, 7156, 547, 2327, 602, 3025, 781, 9739, 616, 4862, 543, 15197, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9898, 305, 3951, 12088, 24202, 12164, 306, 2316, 307, 28513, 17252, 3633, 306, 21832, 11550, 290, 8577, 267, 14408, 22076, 667, 31631, 3008, 269, 7797, 676, 18317, 310, 2562, 8863, 28356, 6395, 563, 763, 24540, 781, 9361, 5600, 540, 24929, 16588, 19162, 667, 1180, 553, 814, 26693, 883, 519, 32117, 4737, 936, 519, 1184, 3056, 547, 24857, 1533, 3125, 267, 2523, 519, 11786, 11156, 31045, 676, 519, 22694, 894, 13909, 6993, 22275, 31558, 593, 1533, 3125, 568, 16516, 547, 581, 2196, 538, 519, 24540, 538, 14966, 609, 519, 8549, 12836, 593, 14349, 8160, 337, 667, 1180, 553, 3081, 281, 834, 293, 3985, 12057, 1131, 711, 4308, 609, 1022, 11156, 602, 2501, 998, 513, 5428, 2797, 1062, 267, 610, 1022, 1062, 602, 3085, 1405, 723, 519, 2347, 1489, 540, 519, 1004, 3238, 267, 945, 616, 782, 17197, 528, 2103, 1701, 16031, 667, 1180, 553, 262, 6085, 2501, 950, 606, 6644, 267, 5833, 676, 17197, 528, 2103, 585, 14891, 3557, 3125, 689, 513, 1283, 13338, 15818, 267, 24332, 1627, 290, 27050, 10011, 534, 267, 6811, 602, 519, 22275, 31558, 2243, 568, 834, 325, 520, 958, 30096, 2668, 6004, 10011, 534, 3081, 519, 2243, 14543, 547, 16783, 609, 519, 4676, 699, 526, 4548, 2920, 799, 3340, 602, 6927, 2322, 547, 519, 17037, 1590, 581, 834, 320, 2243, 799, 568, 18222, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11846, 1299, 28046, 1315, 25397, 1299, 12197, 1315, 7043, 5937, 2700, 26121, 26358, 267, 547, 606, 9813, 3957, 7705, 602, 1175, 15354, 593, 3618, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7705, 606, 9813, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18257, 18850, 3307, 7060, 910, 9046, 476, 3066, 692, 13706, 782, 8870, 10659, 540, 705, 585, 476, 273, 18016, 513, 18016, 476, 276, 543, 476, 273, 18016, 536, 18016, 476, 276, 912, 825, 476, 2420, 284, 275, 267, 476, 2537, 284, 279, 267, 476, 2190, 284, 1626, 267, 476, 1839, 284, 3953, 454, 825, 476, 3953, 284, 280, 267, 476, 3451, 284, 2767, 267, 476, 4097, 284, 10037, 267, 476, 3374, 284, 25838, 454, 825, 476, 5655, 284, 1626, 267, 476, 6246, 284, 5038, 267, 476, 4510, 284, 16348, 267, 476, 3393, 284, 9083, 275, 454, 825, 476, 7367, 284, 1839, 267, 476, 7871, 284, 10219, 267, 476, 7918, 284, 27698, 267, 476, 4649, 284, 24374, 276, 454, 2252, 789, 616, 1287, 5116, 538, 10230, 1931, 267, 609, 1022, 28197, 6569, 2676, 933, 1205, 519, 1739, 5311, 540, 476, 1428, 3982, 2474, 912, 275, 267, 476, 279, 267, 476, 280, 267, 476, 1626, 267, 476, 1839, 267, 476, 2767, 267, 476, 3953, 267, 476, 5038, 267, 476, 10037, 267, 476, 10219, 267, 476, 25838, 267, 476, 16348, 267, 476, 27698, 267, 476, 9083, 275, 267, 476, 24374, 276, 454, 1692, 1082, 3982, 2474, 616, 538, 519, 5311, 6383, 676, 705, 585, 476, 273, 18016, 513, 18016, 476, 1911, 543, 476, 273, 18016, 536, 18016, 476, 1911, 888, 18257, 692, 3553, 318, 637, 815, 1305, 10797, 1721, 513, 538, 2039, 263, 273, 267, 476, 6200, 2187, 825, 585, 536, 538, 2039, 263, 273, 267, 476, 6200, 2187, 1038, 759, 815, 513, 2878, 536, 454, 1038, 1305, 318, 637, 14491, 263, 637, 2020, 2745, 263, 3553, 318, 637, 994, 2745, 12759, 263, 3553, 318, 637, 11723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2745, 2891, 305, 636, 639, 19804, 636, 29236, 281, 586, 815, 4949, 317, 273, 1341, 536, 343, 1341, 524, 5602, 2745, 10797, 258, 18452, 513, 267, 536, 267, 524, 454, 320, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 562, 559, 2967, 513, 2433, 27328, 321, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 562, 559, 2967, 536, 2433, 27328, 322, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 562, 559, 2967, 524, 2433, 834, 11723, 258, 7179, 15555, 639, 5500, 320, 454, 2745, 4590, 2745, 2891, 305, 636, 639, 29236, 281, 586, 815, 14307, 320, 2437, 343, 317, 273, 1341, 14307, 321, 2437, 343, 1341, 14307, 322, 267, 694, 335, 284, 3269, 994, 2745, 10797, 258, 18452, 1535, 454, 343, 815, 703, 9272, 2891, 300, 553, 4157, 16988, 562, 559, 2967, 1535, 2433, 27328, 258, 12231, 2426, 562, 559, 2967, 586, 454, 344, 815, 630, 320, 16732, 343, 1262, 273, 4297, 1341, 630, 321, 20080, 264, 1341, 524, 692, 258, 7179, 562, 559, 2967, 586, 454, 2745, 2891, 301, 559, 2967, 586, 533, 3385, 1535, 815, 2580, 343, 2437, 611, 531, 1695, 2580, 344, 2020, 258, 645, 2177, 4785, 454, 2745, 4590, 2745, 2891, 30537, 1002, 12464, 541, 737, 584, 9366, 1019, 2433, 630, 2863, 4157, 513, 815, 476, 271, 693, 879, 536, 815, 476, 271, 267, 12464, 541, 544, 2426, 7219, 22619, 752, 513, 16988, 737, 601, 340, 541, 264, 5602, 2745, 2891, 10059, 2517, 4178, 269, 2998, 4355, 2593, 270, 14142, 286, 336, 284, 2580, 320, 2437, 343, 317, 273, 266, 260, 273, 289, 266, 2580, 321, 2437, 343, 266, 260, 273, 289, 266, 2580, 322, 267, 694, 335, 284, 3269, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 17392, 540, 4778, 538, 519, 1297, 540, 8870, 851, 1431, 540, 562, 692, 11693, 606, 8870, 1269, 333, 259, 519, 1297, 540, 851, 1431, 540, 1269, 333, 259, 883, 1079, 4778, 666, 581, 6719, 607, 3230, 335, 318, 273, 3799, 21174, 8999, 3709, 330, 284, 271, 11892, 333, 533, 17347, 264, 335, 3799, 10275, 14638, 1141, 1269, 335, 17347, 7751, 12523, 519, 1297, 540, 8723, 851, 1431, 540, 1269, 330, 269, 259, 1548, 568, 519, 3892, 540, 3230, 303, 17347, 21174, 2765, 22669, 17347, 264, 335, 3799, 10275, 20972, 335, 318, 273, 3799, 264, 6525, 607, 1269, 333, 29540, 1422, 13727, 269, 6911, 296, 1745, 607, 1498, 713, 2243, 814, 4440, 1044, 9619, 538, 519, 2250, 855, 594, 993, 23387, 540, 1141, 538, 519, 3332, 269, 6496, 4896, 917, 1141, 594, 666, 1265, 713, 2496, 8894, 259, 303, 17347, 7751, 568, 31062, 585, 1269, 330, 259, 1472, 1269, 333, 270, 273, 8961, 540, 1576, 267, 543, 568, 13671, 972, 514, 269, 10410, 1518, 267, 1018, 4010, 29297, 582, 673, 2243, 616, 596, 5461, 538, 269, 1107, 1109, 293, 539, 528, 8891, 22201, 2904, 476, 274, 1412, 1724, 693, 476, 2420, 281, 7871, 454, 296, 6415, 811, 5461, 538, 513, 8325, 5834, 8635, 610, 585, 602, 2339, 513, 1747, 1141, 594, 666, 4704, 621, 269, 1107, 1109, 25405, 1408, 3474, 787, 2904, 476, 274, 1412, 1724, 693, 476, 2537, 281, 4962, 692, 763, 10434, 344, 7304, 16120, 340, 13568, 29297, 5328, 4542, 3947, 1269, 335, 3799, 264, 1422, 13678, 1422, 10339, 18154, 25490, 23533, 348, 19422, 275, 333, 25490, 346, 274, 348, 7751, 609, 1269, 290, 284, 1422, 7032, 1422, 6912, 346, 273, 270, 274, 23201, 3245, 713, 835, 12034, 602, 952, 4399, 749, 259, 568, 711, 1932, 2462, 1287, 3230, 335, 3799, 10954, 749, 264, 335, 3799, 10559, 749, 264, 1422, 13678, 533, 3799, 8203, 273, 1422, 10339, 18154, 22570, 6912, 23533, 10954, 749, 23180, 6912, 23533, 10559, 749, 348, 910, 273, 25490, 23533, 16585, 3738, 1422, 13678, 533, 3799, 8203, 273, 1422, 10339, 315, 19136, 263, 910, 290, 1422, 2765, 3189, 749, 317, 273, 2410, 275, 333, 3867, 274, 270, 273, 3686, 1422, 19136, 1040, 16465, 13295, 707, 1599, 568, 13671, 1472, 1269, 330, 284, 333, 270, 273, 259, 538, 606, 8884, 540, 2450, 827, 1269, 333, 3867, 274, 270, 275, 23201 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19185, 585, 513, 1187, 2534, 538, 519, 4677, 609, 519, 3214, 543, 1404, 707, 851, 609, 9494, 519, 10987, 888, 2171, 2648, 2142, 20623, 558, 2125, 267, 513, 13085, 11036, 547, 3142, 519, 10987, 1394, 269, 670, 4007, 2220, 520, 1127, 540, 3552, 17810, 7226, 814, 1044, 4503, 936, 519, 2063, 476, 1911, 1296, 269, 901, 2530, 540, 2757, 7226, 568, 2348, 513, 14042, 1198, 593, 27392, 543, 19643, 12187, 5095, 2429, 519, 2919, 1158, 269, 26085, 568, 2629, 585, 1082, 4128, 543, 3552, 25154, 616, 2629, 547, 9265, 269, 2060, 2142, 20623, 558, 2125, 596, 666, 556, 268, 22056, 891, 4503, 9249, 543, 547, 948, 3142, 519, 10987, 1394, 269, 2142, 20623, 558, 2125, 991, 1100, 12202, 5578, 543, 666, 581, 16559, 2786, 5196, 1930, 2666, 693, 1022, 942, 540, 519, 1032, 269, 4495, 16559, 267, 596, 1810, 1405, 991, 547, 1216, 610, 4043, 707, 2142, 20623, 558, 2125, 563, 3383, 1946, 711, 2312, 606, 1858, 2221, 267, 14649, 519, 5452, 543, 596, 543, 519, 3214, 666, 2972, 1007, 2208, 543, 3142, 1394, 519, 10987, 563, 289, 2465, 321, 558, 2125, 3442, 741, 5452, 5393, 5402, 269, 2353, 616, 5065, 543, 13840, 5065, 547, 8581, 543, 519, 2898, 540, 8832, 2342, 538, 1249, 269, 1358, 616, 782, 4105, 547, 513, 2039, 540, 25199, 543, 723, 1044, 2713, 1623, 321, 3999, 1227, 609, 938, 5065, 3542, 13541, 2249, 585, 476, 1911, 271, 338, 540, 1296, 269, 1358, 616, 513, 3575, 540, 5993, 338, 543, 17506, 10118, 609, 513, 3575, 540, 15437, 269, 2142, 20623, 558, 2125, 2707, 741, 5452, 689, 476, 1428, 1114, 1507, 6868, 1472, 519, 5177, 543, 8832, 8581, 563, 2467, 779, 1100, 991, 547, 581, 12922, 2336, 763, 1034, 1271, 3364, 547, 917, 568, 602, 596, 12582, 1406, 581, 18901, 540, 10987, 269, 1677, 873, 649, 2461, 1175, 2462, 19309, 23766, 945, 3802, 1472, 741, 1158, 1547, 28791, 596, 21279, 873, 267, 10987, 786, 711, 4323, 3425, 269, 1358, 4465, 1406, 29677, 1310, 596, 952, 596, 4734, 873, 4805, 269, 1403, 513, 13520, 2501, 2673, 547, 596, 267, 13631, 676, 707, 6505, 7990, 995, 570, 25099, 267, 610, 519, 8799, 9329, 689, 707, 31576, 5622, 267, 1175, 3251, 1869, 543, 621, 786, 8038, 1055, 950, 621, 1483, 2478, 596, 2461, 711, 513, 8768, 563, 13425, 856, 938, 2376, 593, 1548, 547, 798, 952, 513, 13520, 588, 902, 707, 1126, 543, 891, 642, 1749, 585, 811, 1344, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 1292, 4305, 540, 513, 8416, 568, 547, 1683, 5171, 609, 513, 2582, 3760, 585, 27300, 1239, 543, 4687, 2200, 269, 901, 4305, 568, 865, 1271, 602, 1082, 3344, 540, 4948, 1272, 543, 519, 2413, 1158, 1131, 581, 796, 19960, 514, 762, 1510, 17978, 563, 2080, 779, 513, 1483, 3734, 1383, 281, 769, 513, 6093, 5604, 267, 1169, 960, 23667, 814, 922, 1378, 2780, 269, 9453, 513, 8416, 540, 5904, 267, 621, 1131, 581, 1360, 2352, 585, 513, 2319, 547, 960, 593, 513, 1788, 2094, 972, 1131, 581, 1100, 1455, 1747, 547, 2671, 610, 4558, 3059, 6054, 543, 1344, 267, 543, 2319, 2818, 1131, 711, 581, 2111, 547, 2671, 1978, 3156, 563, 297, 12317, 990, 1695, 23968, 933, 327, 12791, 1923, 1548, 1772, 634, 7464, 8745, 2986, 2696, 286, 4179, 2517, 339, 16691, 270, 2704, 310, 684, 4366, 337, 3149, 1765, 4937, 11310, 31822, 17556, 600, 303, 10062, 19699, 264, 4455, 476, 1015, 267, 476, 1001, 279, 454, 1103, 1840, 267, 1082, 13646, 1152, 723, 835, 17002, 610, 513, 1906, 23252, 602, 616, 3838, 676, 3025, 269, 9453, 513, 8416, 267, 519, 8668, 8257, 1131, 723, 547, 1921, 1169, 2582, 2780, 547, 519, 17002, 267, 799, 568, 2352, 547, 2936, 689, 513, 2930, 29459, 269, 589, 8416, 12461, 14688, 31758, 713, 1966, 1317, 782, 5904, 616, 4448, 547, 519, 17002, 3842, 835, 3844, 6843, 563, 763, 1292, 5383, 540, 17978, 616, 281, 4537, 1563, 946, 540, 1239, 4537, 1563, 946, 540, 2200, 23338, 1852, 540, 3292, 543, 1239, 23338, 4859, 543, 19307, 540, 1239, 4537, 1563, 4393, 1379, 543, 4859, 4390, 292, 6470, 2359, 540, 2278, 3074, 543, 9021 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 305, 520, 3930, 454, 274, 1296, 3516, 454, 1695, 842, 2763, 454, 24591, 454, 31171, 454, 295, 739, 513, 3014, 454, 299, 633, 10794, 299, 633, 454, 29094, 454, 22069, 334, 6657, 454, 20797, 454, 1892, 7726, 476, 272, 454, 1789, 7643, 454, 304, 269, 589, 5223, 568, 2483, 1492, 3017, 1063, 1079, 2338, 563, 320, 6476, 540, 1079, 2338, 676, 6498, 563, 320, 6476, 540, 1079, 2338, 676, 8691, 563, 1492, 2040, 540, 1079, 2338, 563, 1892, 7726, 476, 273, 454, 1789, 7643, 454, 304, 269, 15681, 952, 519, 5223, 568, 851, 3562, 12268, 610, 851, 3562, 19351, 1961, 563, 275, 13212, 547, 476, 274, 24453, 454, 8512, 3562, 6261, 691, 454, 8512, 3562, 268, 2662, 1961, 454, 1892, 7726, 476, 274, 454, 1789, 7643, 454, 304, 269, 15681, 952, 519, 5223, 568, 851, 3562, 12268, 610, 851, 3562, 19351, 1961, 563, 1015, 2055, 2433, 1109, 274, 11234, 454, 8512, 3562, 6261, 691, 454, 8512, 3562, 268, 2662, 1961, 454, 1892, 7726, 476, 275, 454, 1789, 7643, 454, 304, 269, 15681, 952, 519, 5223, 568, 851, 3562, 12268, 610, 851, 3562, 19351, 1961, 563, 1103, 513, 513, 9910, 9126, 540, 631, 261, 16039, 267, 972, 616, 476, 1626, 631, 261, 16039, 543, 476, 276, 540, 873, 616, 2699, 563, 8512, 3562, 6261, 691, 454, 8512, 3562, 268, 2662, 1961, 454, 1892, 7726, 476, 276, 454, 1789, 7643, 454, 304, 269, 15681, 952, 519, 5223, 568, 851, 3562, 12268, 610, 851, 3562, 19351, 1961, 563, 275, 6279, 540, 6777, 593, 13638, 547, 476, 277, 6279, 540, 6777, 593, 11016, 454, 8512, 3562, 6261, 691, 454, 8512, 3562, 268, 2662, 1961, 454, 1892, 7726, 476, 277, 454, 1789, 7643, 454, 304, 269, 3503, 519, 5223, 607, 513, 6824, 281, 476, 1109, 736, 1004, 19954, 29262, 9364, 547, 519, 5428, 856, 540, 476, 1789, 16436, 525, 563, 16006, 454, 1892, 7726, 476, 278, 454, 1789, 7643, 454, 304, 269, 3503, 519, 5223, 607, 513, 6824, 281, 476, 1109, 275, 281, 1626, 454, 382, 378, 454, 26528, 454, 1892, 7726, 476, 279, 454, 1789, 7643, 454, 304, 269, 3503, 519, 5223, 607, 513, 3935, 912, 279, 281, 276, 454, 1015, 281, 1240, 454, 276, 281, 279, 454, 1321, 281, 275, 454, 1892, 7726, 476, 280, 454, 1789, 7643, 454, 304, 269, 6904, 5223, 568, 3152, 888, 275, 281, 272, 610, 476, 277, 281, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1692, 1677, 17166, 32202, 320, 267, 32202, 324, 22043, 569, 888, 1692, 1677, 17166, 32202, 320, 267, 32202, 324, 23866, 454, 9596, 1412, 1692, 1677, 17166, 32202, 320, 267, 32202, 324, 262, 888, 1692, 1677, 17166, 32202, 320, 267, 32202, 324, 11137, 454, 8072, 307, 677, 320, 267, 12475, 324, 685, 2608, 263, 325, 264, 568, 519, 7969, 2262, 585, 2048, 322, 820, 29679, 8730, 855, 621, 666, 849, 3277, 547, 513, 2650, 610, 25188, 269, 2368, 2474, 1210, 713, 2262, 616, 912, 1692, 1677, 17166, 898, 454, 268, 634, 1412, 334, 262, 568, 14733, 14191, 547, 519, 1412, 334, 262, 538, 1412, 14653, 262, 3248, 268, 634, 1412, 320, 262, 568, 14733, 14191, 547, 519, 1412, 320, 262, 538, 1412, 15289, 23823, 293, 13904, 30365, 1299, 12700, 454, 9199, 767, 267, 538, 519, 7820, 4990, 267, 568, 513, 851, 540, 2069, 282, 538, 519, 9632, 267, 513, 851, 540, 1995, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 1007, 1353, 689, 1426, 543, 6683, 2516, 267, 1519, 519, 1977, 12426, 13163, 18966, 267, 2982, 519, 2804, 1764, 540, 6683, 269, 631, 7865, 531, 595, 6123, 8843, 811, 593, 875, 519, 1239, 666, 581, 1031, 547, 6542, 519, 2956, 540, 8105, 543, 10443, 4221, 563, 290, 6123, 281, 634, 15795, 5993, 30839, 519, 19004, 5530, 8761, 875, 519, 1426, 543, 6683, 9922, 3310, 519, 2199, 543, 6626, 2136, 2276, 11615, 269, 1977, 12426, 13163, 18966, 12751, 8859, 626, 3220, 269, 23011, 595, 32569, 3081, 519, 1353, 2337, 519, 1857, 1174, 519, 1764, 540, 6683, 563, 290, 32569, 281, 30839, 634, 19004, 568, 513, 1297, 540, 1114, 1919, 269, 898, 781, 513, 1353, 543, 621, 781, 513, 3896, 267, 30839, 763, 292, 1595, 344, 2593, 269, 1656, 621, 781, 513, 11450, 1851, 989, 2516, 269, 898, 781, 6322, 693, 4543, 11570, 1732, 1174, 519, 1764, 540, 6683, 563, 290, 6123, 281, 1261, 3081, 519, 1239, 11479, 1753, 602, 6683, 568, 519, 5748, 540, 519, 772, 2529, 269, 4346, 563, 290, 32569, 281, 1280, 519, 772, 2529, 269, 607, 513, 2898, 267, 972, 941, 827, 1269, 274, 18265, 538, 3977, 538, 519, 6683, 5823, 269, 901, 2882, 519, 6009, 543, 13848, 3977, 2047, 3238, 538, 23478, 543, 6721, 543, 12419, 998, 519, 1426, 543, 6694, 3761, 5832, 269, 11982, 568, 513, 7372, 2872, 269, 1656, 865, 1586, 267, 585, 519, 772, 2529, 1421, 1269, 274, 18265, 538, 3977, 267, 476, 2641, 543, 513, 3368, 2929, 6009, 267, 1269, 279, 866, 5479, 538, 13848, 563, 290, 6123, 281, 595, 32569, 3081, 922, 782, 827, 4543, 1866, 1174, 519, 2956, 540, 1977, 6683, 563, 290, 32569, 281, 1284, 917, 602, 6683, 568, 1271, 538, 1082, 1114, 2081, 269, 1809, 585, 1346, 945, 991, 811, 3109, 543, 3043, 20310, 827, 875, 1271, 6683, 568, 713, 568, 1360, 5363, 269, 30839, 763, 292, 1595, 344, 2593, 786, 3049, 596, 519, 2338, 585, 519, 772, 2529, 269, 543, 585, 707, 1533, 543, 1256, 585, 707, 18322, 1308, 8664, 269, 634, 6662, 1934, 568, 547, 1683, 11613, 909, 3562, 15082, 1344, 827, 875, 1271, 6683, 568, 269, 898, 2337, 11570, 1174, 267, 607, 1454, 607, 649, 1491, 621, 585, 11292, 267, 602, 519, 1426, 568, 972, 950, 649, 991, 621, 563, 290, 6123, 281, 11088, 267, 1451, 811, 693, 8023, 1492, 324, 1595, 344, 2593, 269, 631, 7865, 531, 595, 6123, 267, 6115, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 314, 29074, 335, 24513, 625, 316, 2290, 3018, 1576, 281, 5124, 14691, 998, 18768, 454, 577, 640, 8403, 693, 575, 21166, 2593, 454, 26607, 7325, 476, 276, 476, 1626, 281, 1691, 281, 5325, 29269, 476, 1001, 278, 454, 7804, 269, 590, 20183, 12858, 623, 644, 21317, 10972, 267, 606, 4810, 5124, 14357, 568, 3450, 513, 454, 322, 6847, 11331, 267, 968, 23911, 14691, 998, 18768, 892, 585, 4896, 9907, 476, 1321, 266, 563, 2791, 798, 711, 991, 1991, 5752, 1995, 547, 1491, 713, 1576, 269, 1411, 666, 454, 16753, 811, 827, 519, 1576, 693, 5291, 2517, 24207, 25531, 16691, 11305, 6847, 270, 272, 13045, 23911, 568, 513, 2442, 5752, 1893, 269, 769, 1082, 3872, 5238, 2676, 23911, 568, 6026, 607, 519, 1101, 5752, 1893, 269, 898, 568, 513, 2489, 26928, 454, 32491, 2719, 1893, 609, 513, 3638, 16105, 543, 2497, 269, 1411, 666, 1451, 547, 946, 454, 23911, 543, 1294, 3592, 7525, 12374, 538, 7607, 3448, 547, 454, 32491, 2719, 609, 824, 4654, 269, 898, 568, 849, 513, 11684, 1893, 602, 666, 454, 2041, 1031, 547, 1020, 1357, 3156, 267, 3621, 7384, 267, 3239, 454, 30112, 267, 1239, 2257, 543, 1454, 811, 563, 1103, 713, 835, 3018, 1576, 602, 10742, 476, 280, 268, 276, 6751, 689, 11728, 5147, 476, 2190, 628, 910, 11016, 454, 20809, 476, 2764, 628, 267, 476, 1001, 278, 267, 596, 786, 1451, 519, 9238, 540, 5124, 609, 538, 11665, 454, 716, 8481, 543, 476, 275, 1114, 3785, 269, 4841, 786, 723, 1569, 547, 1362, 454, 332, 1468, 543, 1362, 7044, 269, 1358, 786, 581, 2111, 547, 2170, 609, 8284, 1362, 454, 10863, 1210, 513, 10319, 3760, 269, 2353, 891, 786, 581, 3015, 585, 513, 454, 20204, 689, 519, 1376, 540, 519, 1576, 269, 2859, 11932, 267, 596, 786, 1451, 5124, 454, 10843, 3785, 267, 799, 5849, 602, 596, 1451, 543, 3314, 519, 1893, 563, 12179, 7853, 945, 568, 693, 2547, 476, 1321, 1296, 666, 1491, 713, 1576, 563, 8196, 19420, 517, 3009, 28887, 335, 1911, 547, 1205, 1269, 1911, 1055, 910, 1152, 476, 736, 19420, 976, 616, 2139, 563, 295, 25744, 909, 543, 11578, 543, 2628, 1631, 676, 9683, 454, 9743, 1192, 528, 781, 21912, 1103, 9043, 20620, 1366, 9339, 1985, 851, 28612, 9339, 454, 2304, 14103, 13613, 729, 28103, 5523, 2483, 5415, 1344, 827, 519, 7345, 335, 24513, 625 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 11907, 22561, 267, 10113, 22561, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 12785, 815, 1985, 692, 5035, 21912, 8266, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 7224, 815, 476, 271, 454, 1038, 1582, 23584, 815, 7183, 454, 1038, 1582, 269, 9690, 815, 7183, 692, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 2132, 1582, 269, 7224, 692, 825, 1219, 1039, 6958, 1009, 4311, 267, 11907, 2187, 1038, 533, 13700, 815, 1582, 23584, 454, 1038, 1582, 23584, 815, 1582, 269, 9690, 815, 19219, 16597, 267, 696, 337, 994, 1038, 1582, 269, 7224, 6834, 476, 272, 692, 825, 1219, 1039, 9078, 770, 4311, 267, 11907, 2187, 1038, 952, 1582, 23584, 568, 7183, 912, 2018, 1582, 14491, 6958, 1009, 16597, 994, 1038, 3116, 912, 2018, 533, 13700, 815, 1582, 23584, 454, 2018, 1247, 533, 13700, 12785, 568, 711, 7183, 912, 3546, 533, 13700, 815, 533, 13700, 12785, 454, 2018, 533, 13700, 12785, 815, 1582, 269, 9690, 815, 19219, 16597, 267, 14085, 994, 2018, 1582, 269, 7224, 6834, 476, 272, 692, 825, 1219, 3406, 4311, 267, 1239, 2187, 1038, 524, 660, 815, 476, 271, 454, 1038, 533, 13700, 815, 1582, 23584, 454, 1038, 1247, 533, 13700, 568, 711, 7183, 912, 2018, 952, 533, 13700, 21606, 2652, 1239, 912, 3546, 1582, 269, 9690, 815, 533, 13700, 454, 3546, 2132, 524, 660, 454, 2018, 524, 660, 6834, 476, 272, 454, 2018, 533, 13700, 815, 533, 13700, 12785, 454, 1038, 2132, 910, 272, 692, 825, 1219, 6449, 935, 13935, 9191, 1345, 267, 1239, 2187, 1038, 2132, 1582, 269, 14142, 16597, 2020, 825, 1219, 4894, 6958, 1009, 4311, 2187, 1038, 952, 1582, 23584, 568, 711, 7183, 912, 2018, 1582, 23584, 815, 1582, 269, 9690, 815, 1582, 23584, 12785, 454, 1038, 1582, 269, 7224, 20699, 476, 272, 692, 825, 1219, 4894, 9078, 770, 4311, 2187, 1038, 952, 1582, 23584, 568, 711, 7183, 912, 2018, 952, 1582, 23584, 12785, 568, 7183, 281, 476, 1948, 423, 483, 372, 423, 497, 506, 32174, 478, 476, 272, 32174, 506, 423, 507, 376, 423, 358, 368, 454, 3546, 1582, 31927, 6958, 1009, 3890, 672, 1948, 423, 357, 372, 423, 355, 361, 14091, 483, 372, 423, 497, 506, 10563, 480, 511, 32510, 506, 454, 2018, 3116, 10778, 3546, 533, 13700, 815, 1582, 23584, 454, 3546, 840, 815, 1582, 23584, 692, 3546, 1247, 533, 13700, 12785, 568, 711, 7183, 912, 7386, 840, 815, 533, 13700, 454, 7386, 533, 13700, 815, 533, 13700, 12785, 692, 3546, 840, 12785, 815, 7183, 454, 3546, 1582, 269, 9690, 815, 840, 454, 3546, 1582, 269, 7224, 20699, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 337, 284, 476, 5611, 269, 876, 454, 7032, 284, 476, 274, 269, 15221, 6795, 454, 320, 815, 14039, 2608, 263, 337, 1262, 273, 994, 2745, 2891, 288, 28121, 271, 15545, 275, 325, 348, 2668, 8971, 5416, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 256, 2304, 659, 25352, 270, 534, 659, 25352, 270, 7090, 1477, 258, 322, 5317, 281, 30016, 268, 279, 5897, 258, 476, 21211, 10429, 372, 8147, 323, 5315, 8147, 21928, 10429, 370, 10524, 500, 13644, 511, 420, 357, 478, 18809, 14035, 504, 26175, 364, 20992, 14090, 12486, 12916, 379, 17958, 7987, 494, 421, 498, 362, 268, 29219, 7987, 495, 28098, 11858, 502, 417, 480, 357, 1477, 258, 8675, 19540, 483, 421, 481, 357, 11858, 502, 418, 498, 378, 421, 350, 374, 31365, 25520, 4486, 7511, 418, 498, 378, 24662, 421, 350, 374, 31365, 418, 366, 350, 20069, 10429, 367, 419, 367, 375, 1477, 258, 476, 25263, 502, 30536, 16088, 418, 509, 354, 19867, 378, 20881, 509, 18021, 355, 417, 379, 360, 12486, 21251, 25263, 504, 18713, 510, 20992, 4486, 7511, 417, 351, 508, 20693, 510, 9463, 502, 418, 483, 351, 1477, 258, 22614, 376, 374, 30536, 16088, 418, 369, 359, 420, 368, 373, 19540, 483, 11858, 502, 20001, 481, 14035, 504, 8147, 21211, 10429, 372, 15159, 13601, 26175, 491, 17958, 419, 358, 374, 25426, 368, 29004, 351, 28793, 25426, 368, 7511, 25913, 25622, 5897, 18743, 815, 27835, 339, 558, 9166, 4817, 267, 1412, 321, 984, 9166, 2568, 267, 1412, 329, 871, 9166, 2004, 348, 1477, 2745, 5560, 1112, 9131, 339, 558, 11172, 10142, 258, 476, 20881, 504, 13213, 485, 4486, 417, 351, 508, 20693, 510, 21211, 10429, 372, 7511, 19540, 483, 14395, 373, 1477, 18743, 9131, 663, 4319, 11172, 815, 476, 1015, 1477, 2745, 5560, 1112, 10142, 258, 476, 22047, 4486, 9463, 359, 420, 25693, 28098, 18021, 498, 22047, 7407, 1477, 18743, 9131, 663, 4319, 11172, 815, 476, 3445, 1477, 2745, 5560, 1112, 10142, 258, 476, 10254, 353, 13161, 511, 4486, 15159, 12571, 355, 21928, 21211, 10429, 372, 18809, 8147, 4970, 353, 26175, 491, 25913, 25622, 1477, 2745, 3488, 663, 4319, 262, 538, 9598, 3418, 2745, 5560, 1112, 10947, 3488, 3405, 787, 3299, 910, 272, 264, 10142, 258, 476, 10254, 510, 30522, 353, 13601, 28098, 421, 498, 362, 29219, 1477, 18743, 21014, 3488, 663, 4319, 20298, 2745, 5560, 1112, 10142, 258, 17276, 367, 357, 418, 482, 493, 16088, 323, 5315, 7511, 4486, 417, 379, 483, 421, 350, 375, 15159, 21251, 23746, 9463, 502, 28098, 420, 365, 350, 1477, 258, 13127, 505, 510, 20992, 323, 5315, 12916, 379, 17958, 417, 497, 486, 27747, 490, 28997, 501, 25622, 8147, 10254, 358, 17958, 4486, 23521, 354, 18777, 350, 28997, 501, 7407, 7511, 11858, 502, 417, 480, 357, 12916, 491, 419, 377, 362, 1477, 258, 1854, 921, 15159, 21251, 23746, 9463, 502, 28098, 420, 365, 350, 8147, 23746, 23284, 30853, 20992, 4486, 1477, 339, 815, 18011, 320, 3299, 1412, 321, 20298, 18743, 314, 339, 316, 815, 1412, 11687, 262, 1477, 2745, 5560, 1112, 10142, 258, 26905, 323, 5315, 25520, 4289, 30006, 498, 20001, 481, 19203, 1477, 258, 1592, 418, 509, 354, 19867, 378, 25520, 418, 493, 496, 24662, 7511, 20881, 509, 18021, 355, 421, 504, 493, 30317, 27381, 510, 7511, 417, 351, 508, 20693, 510, 26033, 490, 417, 351, 508, 20693, 510, 1477, 258, 1592, 22287, 510, 17958, 419, 358, 374, 25426, 368, 16533, 495, 8147, 418, 369, 359, 420, 368, 373, 19540, 483, 11858, 502, 16533, 493, 5897, 2745, 3488, 8782, 265, 2412, 3418, 258, 815, 25275, 7529, 2525, 1477, 258, 28859, 505, 484, 12571, 486, 8147, 3553, 8147, 25520, 323, 5315, 32352, 25263, 376, 8147, 15159, 13601, 14756, 482, 4486, 7511, 421, 505, 484, 12571, 486, 8147, 12916, 484, 15159, 21251, 11858, 502, 417, 480, 357, 7407, 1477, 258, 1883, 21251, 420, 25693, 19404, 491, 14035, 491, 8147, 19404, 491, 14035, 491, 30317, 27381, 510, 25263, 504, 420, 351, 360, 420, 485, 359, 20693, 357, 13213, 485, 418, 375, 353, 1477, 258, 28859, 506, 478, 28884, 418, 493, 494, 28032, 505, 22047, 4289, 30853, 20992, 27447, 24662, 421, 505, 484, 12571, 486, 1477, 3240, 13729, 815, 1305, 8443, 272, 267, 476, 273, 267, 476, 274, 29573, 2745, 30044, 13729, 10142, 3240, 13729, 14491, 263, 276, 3418, 2745, 30044, 13729, 10142, 3240, 13729, 31927, 263, 276, 3418, 2745, 30044, 13729, 10142, 258, 1305, 23746, 23284, 419, 506, 489, 29873, 12255, 27730, 31968, 20721, 510, 31365, 25520, 20721, 510, 19404, 491, 14035, 491, 30317, 27381, 510, 7511, 421, 505, 484, 12571, 486, 1477, 258, 476, 4970, 353, 14748, 3553, 23746, 23284, 417, 479, 504, 421, 505, 484, 12571, 486, 7511, 7987, 494, 11590, 353, 421, 505, 484, 7987, 495, 8147, 7987, 494, 23946, 370, 421, 505, 484, 7987, 495, 1477, 338, 272, 815, 1305, 8443, 272, 267, 476, 273, 267, 476, 274, 29573, 338, 273, 815, 1305, 8443, 272, 267, 476, 273, 267, 476, 276, 29573, 2745, 3488, 338, 272, 1299, 521, 273, 281, 3299, 521, 272, 1299, 521, 273, 3418, 2745, 3488, 338, 272, 1923, 521, 273, 281, 3299, 521, 272, 1923, 521, 273, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 28053, 17011, 616, 3889, 540, 32475, 269, 1452, 522, 1176, 8874, 616, 7366, 540, 2053, 25182, 982, 513, 18843, 540, 17178, 16536, 267, 2943, 2178, 2614, 547, 2149, 519, 10347, 9115, 540, 1272, 281, 519, 1591, 779, 1216, 344, 32594, 267, 4719, 1570, 267, 31759, 267, 543, 782, 519, 6675, 621, 2115, 547, 7639, 269, 1215, 1281, 519, 9245, 960, 267, 543, 1141, 1281, 602, 4222, 2097, 689, 286, 9294, 5414, 623, 752, 335, 712, 27180, 563, 10376, 13638, 568, 4065, 307, 11698, 1934, 693, 1520, 2378, 8816, 256, 2142, 2386, 547, 2638, 856, 938, 9708, 827, 7855, 543, 782, 1919, 13241, 269, 1520, 2378, 8816, 7028, 938, 7855, 543, 14560, 547, 3262, 519, 1434, 2262, 827, 3872, 13241, 10124, 2336, 5970, 606, 5863, 1788, 547, 2671, 286, 15012, 519, 15562, 8582, 268, 13263, 6874, 21822, 1169, 13723, 3781, 693, 476, 278, 281, 1789, 10975, 21180, 593, 5616, 266, 670, 836, 8083, 563, 18794, 721, 1169, 13723, 3781, 693, 476, 279, 10975, 21180, 585, 9105, 606, 23910, 2336, 9596, 19919, 2418, 609, 631, 14833, 779, 18650, 610, 1205, 519, 1655, 11418, 9498, 585, 8030, 968, 290, 1844, 3726, 7591, 3033, 892, 1107, 1520, 2378, 8816, 779, 29393, 2336, 300, 6033, 6355, 2443, 16497, 3231, 2740, 2480, 2718, 5794, 16818, 321, 476, 1911, 311, 454, 310, 792, 1963, 2443, 589, 7034, 13235, 454, 16978, 16361, 2443, 1879, 798, 594, 946, 2473, 1015, 888, 27807, 327, 22326, 2443, 634, 10829, 1881, 8682, 13979, 547, 13722, 532, 10552, 3794, 26651, 454, 5591, 8292, 2943, 563, 28989, 267, 519, 6085, 1106, 568, 6806, 693, 713, 942, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 305, 624, 531, 7139, 8985, 568, 1034, 1455, 538, 1453, 543, 4587, 4079, 267, 2523, 2021, 269, 12580, 2039, 689, 912, 268, 2274, 752, 720, 540, 22024, 543, 1973, 689, 519, 606, 639, 454, 268, 589, 4743, 540, 2348, 2407, 6367, 1564, 543, 606, 14849, 991, 547, 723, 513, 15108, 3350, 454, 268, 10426, 720, 540, 1082, 1360, 1507, 588, 8962, 454, 268, 634, 4743, 540, 711, 1373, 2111, 547, 8900, 519, 6367, 1564, 4625, 454, 268, 1323, 531, 1928, 267, 21422, 267, 16698, 267, 543, 11702, 454, 268, 24761, 2699, 5160, 602, 16853, 856, 540, 519, 606, 639, 454, 305, 624, 531, 7139, 8985, 4386, 950, 851, 610, 519, 3003, 6439, 531, 3774, 15942, 856, 540, 1747, 267, 3006, 23578, 856, 540, 519, 606, 639, 269, 1703, 616, 1614, 2010, 540, 6439, 531, 7139, 8985, 912, 268, 3487, 658, 7139, 8985, 630, 10193, 1572, 11940, 657, 531, 7139, 8985, 1040, 634, 16298, 630, 332, 1075, 748, 9245, 264, 540, 519, 6439, 636, 15942, 856, 540, 1747, 543, 2356, 16853, 856, 540, 519, 606, 639, 269, 901, 666, 4755, 950, 596, 8833, 547, 723, 513, 15108, 3350, 269, 3487, 658, 7139, 8985, 568, 1034, 1455, 538, 1453, 7820, 982, 476, 273, 1296, 563, 268, 13159, 7139, 8985, 269, 634, 3003, 3774, 540, 519, 6439, 636, 15942, 856, 540, 1747, 543, 2356, 16853, 856, 540, 519, 606, 639, 269, 2311, 1101, 267, 713, 949, 2049, 1152, 1282, 15108, 5322, 269, 16828, 267, 621, 949, 2049, 950, 596, 1796, 610, 3802, 269, 1656, 538, 930, 2665, 267, 519, 7139, 17863, 5160, 949, 2611, 3544, 707, 1560, 782, 519, 942, 563, 268, 18378, 7139, 8985, 630, 842, 1380, 639, 4003, 1040, 2290, 851, 540, 519, 3774, 540, 519, 1804, 16892, 630, 3712, 517, 264, 610, 6439, 636, 949, 13472, 883, 610, 936, 1776, 851, 267, 899, 519, 24208, 2694, 540, 513, 11442, 16263, 269, 634, 6439, 636, 1281, 711, 6529, 856, 540, 519, 606, 639, 269, 2271, 1380, 639, 4003, 568, 1034, 1455, 538, 1453, 543, 10355, 5540, 4079, 269, 769, 1453, 267, 519, 2014, 568, 2356, 711, 1634, 269, 769, 4079, 267, 621, 568, 2356, 1644, 547, 1776, 15499, 1966, 267, 971, 607, 513, 2208, 540, 5160, 538, 519, 3774, 540, 519, 24026, 630, 7945, 607, 513, 25168, 610, 10510, 1916, 1103, 4049, 2665, 540, 6439, 531, 7139, 8985, 267, 513, 3296, 540, 519, 1804, 16892, 12772, 689, 922, 3339, 2990, 607, 519, 8031, 602, 3180, 621, 538, 1747, 12701, 269, 15380, 972, 568, 513, 8325, 18846, 1141, 519, 6439, 636, 5956, 269, 2060, 6439, 531, 7139, 8985, 267, 713, 18846, 543, 824, 14258, 538, 519, 6439, 636, 949, 2786, 523, 267, 1818, 621, 2352, 547, 1832, 22454, 689, 682, 1136, 856, 267, 799, 568, 1634, 607, 32740, 538, 11666, 775, 563, 12812, 2630, 547, 1224, 811, 593, 6439, 531, 7139, 8985, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 304, 269, 476, 4649, 269, 271, 263, 476, 272, 966, 1774, 12467, 25332, 2925, 519, 2016, 851, 540, 519, 9667, 1062, 269, 1548, 568, 621, 286, 1548, 568, 922, 1909, 1282, 12536, 286, 630, 3008, 272, 994, 763, 2016, 851, 540, 519, 9667, 1062, 568, 519, 1804, 16892, 269, 2991, 519, 5567, 723, 1044, 12842, 689, 519, 1426, 538, 519, 1507, 16892, 267, 519, 2007, 6479, 2527, 10301, 1804, 16892, 1141, 1216, 568, 556, 25388, 5523, 689, 621, 269, 634, 6967, 2182, 2527, 568, 1287, 6740, 538, 6439, 636, 689, 1141, 621, 568, 2139, 547, 581, 5293, 856, 540, 519, 1560, 998, 606, 639, 563, 31948, 713, 2243, 10778, 2467, 568, 513, 1390, 3099, 538, 4129, 1881, 1272, 3157, 267, 2769, 707, 4606, 538, 519, 1106, 540, 513, 6648, 269, 630, 3008, 278, 264, 4338, 910, 10334, 454, 1432, 798, 596, 1611, 676, 14000, 533, 836, 338, 286, 630, 3008, 272, 264, 4338, 910, 10334, 454, 13706, 602, 596, 616, 8429, 676, 513, 20203, 12871, 1858, 543, 596, 5612, 3382, 707, 9224, 269, 28081, 519, 2621, 2630, 538, 513, 9266, 1931, 676, 16287, 873, 689, 476, 272, 547, 476, 276, 547, 10250, 519, 2621, 602, 4755, 538, 519, 8401, 1062, 689, 7020, 540, 28067, 9329, 630, 560, 574, 15252, 5108, 264, 547, 8720, 707, 9224, 630, 24978, 1040, 630, 3008, 272, 994, 288, 269, 2311, 519, 1439, 540, 519, 4949, 517, 267, 5122, 20949, 13847, 6464, 454, 289, 269, 29918, 15252, 4607, 676, 519, 27765, 27866, 540, 513, 22813, 5036, 1055, 513, 3114, 5114, 602, 5932, 606, 5122, 20949, 563, 290, 269, 15379, 20949, 10299, 998, 1591, 1560, 543, 4949, 517, 454, 291, 269, 634, 6464, 3444, 519, 5348, 8985, 543, 3914, 519, 1985, 22813, 269, 6684, 267, 519, 5122, 20949, 22613, 1896, 11409, 454, 292, 269, 7053, 267, 519, 20949, 568, 9447, 689, 22813, 547, 519, 14189, 602, 2337, 538, 6284, 540, 519, 28067, 9329, 543, 4887, 2281, 602, 948, 538, 8720, 519, 9224, 4338, 910, 10334, 454, 2710, 596, 1589, 1560, 779, 2319, 960, 15387, 519, 8647, 540, 938, 1560, 286, 3807, 1518, 707, 2626, 609, 606, 1383, 269, 630, 3008, 272, 264, 4338, 910, 10334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 23675, 543, 22997, 281, 1215, 547, 3049, 513, 9176, 610, 8808, 3032, 269, 22732, 707, 3032, 547, 513, 6632, 6539, 1084, 1426, 269, 27870, 519, 30268, 540, 707, 3032, 781, 6379, 267, 2253, 15175, 1200, 5196, 513, 1164, 7779, 6632, 6539, 1084, 1426, 269, 14173, 1084, 1426, 3568, 2362, 21159, 540, 5567, 543, 8324, 982, 798, 2937, 3032, 3536, 267, 543, 786, 1683, 519, 15596, 609, 811, 540, 519, 3940, 543, 8477, 1352, 2115, 1282, 6379, 269, 3097, 271, 269, 1496, 11357, 25074, 316, 5901, 538, 2247, 602, 707, 3032, 781, 1426, 4616, 786, 2333, 1282, 6379, 269, 2701, 3513, 2356, 3548, 827, 476, 2004, 260, 811, 982, 1352, 1131, 950, 711, 9176, 563, 272, 269, 1496, 11357, 25074, 316, 918, 8636, 839, 616, 693, 519, 8445, 540, 2504, 1317, 540, 602, 269, 1403, 1352, 19380, 2597, 267, 855, 13978, 2635, 267, 519, 3677, 519, 6712, 540, 602, 1426, 1352, 22655, 267, 519, 1732, 630, 32191, 875, 1279, 1352, 786, 3251, 896, 7076, 1916, 273, 269, 1496, 11357, 25074, 316, 1403, 707, 3032, 7948, 1405, 723, 513, 3819, 3032, 1426, 267, 596, 949, 723, 547, 2097, 909, 609, 606, 4244, 269, 5213, 1405, 6615, 707, 3032, 547, 513, 6632, 610, 6539, 1084, 1426, 2732, 563, 274, 269, 1411, 1058, 1376, 8023, 707, 3032, 7928, 3032, 1426, 693, 1472, 835, 547, 1079, 4374, 540, 2085, 269, 4438, 713, 942, 267, 596, 1058, 1118, 2386, 1352, 568, 3478, 519, 5567, 1352, 2115, 267, 1519, 4401, 267, 11379, 267, 610, 7513, 563, 12585, 281, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 263, 403, 505, 264, 13913, 494, 402, 369, 402, 352, 27783, 509, 13913, 494, 402, 370, 403, 350, 402, 364, 403, 359, 402, 369, 32679, 402, 501, 29645, 13913, 508, 402, 371, 403, 496, 402, 370, 32679, 402, 353, 403, 497, 402, 370, 403, 359, 13913, 508, 402, 377, 25149, 402, 373, 403, 506, 402, 371, 403, 497, 402, 364, 403, 359, 402, 372, 32679, 403, 498, 32679, 402, 503, 13913, 499, 402, 364, 403, 494, 402, 370, 403, 359, 402, 378, 403, 351, 402, 371, 403, 508, 402, 372, 32679, 402, 498, 403, 498, 32679, 13913, 505, 402, 371, 32679, 403, 494, 402, 366, 403, 358, 402, 370, 403, 479, 402, 505, 29645, 13913, 355, 402, 368, 25149, 402, 372, 32679, 402, 354, 403, 498, 13913, 351, 402, 372, 403, 506, 402, 370, 402, 500, 27783, 498, 402, 372, 13913, 508, 402, 372, 29645, 402, 364, 403, 497, 402, 367, 32679, 403, 505, 402, 372, 402, 495, 21012, 13913, 499, 402, 364, 403, 494, 402, 370, 403, 359, 402, 378, 403, 508, 402, 371, 403, 494, 402, 366, 403, 508, 402, 371, 402, 353, 29645, 13913, 508, 402, 372, 29645, 402, 364, 403, 497, 402, 367, 32679, 403, 505, 402, 371, 21012, 402, 503, 13913, 494, 402, 370, 403, 350, 402, 364, 403, 359, 402, 369, 32679, 402, 352, 29645, 13913, 351, 402, 373, 403, 358, 402, 372, 403, 480, 402, 498, 403, 498, 13913, 505, 402, 371, 32679, 403, 494, 402, 366, 403, 358, 402, 370, 403, 479, 402, 505, 29645, 13913, 498, 402, 372, 21012, 402, 364, 403, 359, 402, 372, 402, 354, 403, 498, 13913, 495, 402, 364, 403, 494, 402, 372, 403, 508, 402, 364, 403, 510, 402, 372, 402, 500, 403, 498, 13913, 494, 402, 368, 403, 359, 32679, 402, 377, 25149, 402, 373, 403, 481, 630, 403, 350, 994, 263, 736, 264, 6480, 615, 1185, 711, 2943, 1500, 1634, 1200, 2186, 1042, 6862, 1200, 1004, 282, 607, 631, 867, 1815, 2967, 1185, 9901, 1200, 282, 585, 6480, 615, 1705, 519, 4971, 618, 540, 631, 867, 1815, 2967, 267, 899, 607, 950, 1352, 729, 4547, 909, 609, 1864, 1765, 454, 23813, 2752, 538, 631, 18853, 912, 268, 634, 1079, 18627, 616, 689, 519, 2480, 2651, 540, 6480, 615, 630, 5408, 7923, 5348, 18462, 1070, 799, 568, 973, 1243, 593, 8830, 574, 563, 268, 634, 1101, 14235, 5526, 538, 519, 1650, 950, 6480, 615, 568, 5189, 547, 3751, 13259, 553, 21838, 639, 269, 634, 2034, 14235, 5526, 1310, 789, 616, 9310, 543, 1352, 3587, 519, 15596, 563, 268, 6480, 615, 568, 1200, 14655, 2012, 269, 4173, 6014, 2012, 568, 16874, 817, 1695, 563, 268, 1548, 1223, 891, 18627, 581, 827, 888, 268, 1548, 798, 596, 4898, 827, 873, 286, 1548, 2055, 798, 596, 723, 888, 268, 1215, 1522, 596, 1921, 519, 4513, 10839, 547, 3054, 270, 20365, 1053, 262, 270, 20365, 1153, 781, 270, 20365, 2146, 781, 1272, 888, 268, 1215, 1522, 713, 2303, 513, 834, 15927, 2856, 257, 585, 3450, 827, 8830, 574, 888, 268, 1215, 666, 1148, 4228, 2390, 610, 948, 596, 1589, 827, 519, 1257, 596, 1224, 888, 268, 1215, 666, 891, 2462, 2093, 610, 2055, 581, 8268, 998, 513, 3860, 1788, 888, 268, 1215, 666, 891, 2462, 2093, 610, 2055, 581, 8268, 2066, 10459, 888, 268, 1548, 3308, 11226, 267, 2326, 267, 2553, 610, 3157, 1223, 948, 596, 2263, 891, 2093, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 798, 18972, 543, 23522, 723, 538, 1455, 888, 20809, 476, 1556, 267, 476, 1001, 274, 476, 275, 281, 7367, 4456, 454, 13828, 616, 11864, 267, 865, 1312, 723, 7882, 776, 15374, 267, 543, 4552, 593, 741, 2960, 267, 543, 789, 723, 476, 278, 17818, 31175, 607, 3425, 798, 563, 5445, 616, 512, 719, 539, 547, 581, 835, 540, 519, 1152, 476, 274, 2831, 602, 19898, 585, 12257, 630, 21065, 753, 267, 23522, 267, 13755, 984, 657, 1070, 543, 13998, 609, 1082, 4891, 607, 1082, 3425, 798, 269, 1358, 849, 19898, 3068, 547, 3068, 7429, 824, 2831, 269, 667, 20462, 1231, 798, 2285, 4332, 547, 2661, 1762, 267, 543, 607, 11864, 267, 789, 12016, 741, 1762, 609, 6089, 5144, 563, 5445, 723, 1360, 1164, 2792, 1983, 10838, 2933, 269, 1358, 616, 1360, 1514, 543, 4782, 547, 2661, 538, 10540, 338, 2864, 982, 4805, 269, 12339, 2297, 786, 1711, 513, 18497, 270, 1920, 1212, 3832, 585, 519, 1762, 267, 865, 602, 1866, 949, 979, 547, 6968, 543, 3049, 269, 1358, 1397, 4664, 540, 1838, 1149, 543, 18354, 269, 1358, 22378, 333, 519, 2669, 540, 513, 4759, 540, 519, 10540, 267, 2523, 606, 15556, 269, 1358, 849, 4159, 2324, 538, 6887, 547, 3035, 513, 1455, 3804, 269, 1879, 10122, 267, 789, 1711, 9395, 11084, 540, 521, 731, 1149, 676, 4963, 743, 532, 543, 1200, 3429, 873, 267, 543, 1287, 11362, 2786, 998, 873, 547, 3049, 269, 623, 16104, 616, 1360, 8825, 540, 1142, 824, 543, 3006, 1397, 8296, 267, 543, 949, 9772, 513, 1762, 856, 540, 1776, 10540, 952, 621, 814, 1044, 2451, 3297, 610, 4503, 922, 3993, 563, 12234, 267, 789, 723, 11604, 11409, 267, 1373, 2111, 547, 1780, 519, 11604, 1449, 543, 3713, 2933, 538, 513, 11604, 269, 19257, 2928, 11409, 949, 849, 5815, 6568, 563, 1103, 2110, 267, 789, 4159, 811, 834, 16058, 257, 4664, 543, 5615, 982, 1022, 824, 1875, 17376, 1493, 25850, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1012, 8827, 547, 15536, 5938, 6471, 645, 28803, 692, 763, 8038, 729, 23197, 585, 476, 272, 5662, 630, 1492, 942, 602, 5293, 2394, 519, 536, 1731, 619, 1558, 1040, 634, 8038, 24363, 609, 519, 2842, 585, 476, 2537, 5998, 811, 982, 621, 24363, 883, 519, 2842, 630, 10472, 568, 519, 3845, 14612, 676, 21013, 1040, 1403, 649, 1577, 512, 272, 543, 512, 273, 581, 519, 2053, 1282, 799, 519, 8038, 24363, 609, 519, 2842, 543, 883, 519, 2842, 267, 6606, 267, 649, 666, 1305, 909, 513, 1062, 540, 4834, 1384, 339, 272, 1341, 512, 273, 815, 476, 272, 2676, 2412, 339, 272, 910, 476, 1789, 339, 273, 815, 476, 2537, 780, 2171, 1265, 512, 272, 815, 476, 7871, 270, 3583, 543, 512, 273, 815, 476, 1704, 270, 3583, 269, 4475, 267, 519, 3845, 14612, 676, 519, 8038, 568, 692, 2412, 6398, 476, 7871, 270, 3583, 1341, 476, 1789, 6398, 476, 1704, 270, 3583, 815, 476, 4391, 476, 275, 270, 278, 5998, 780, 2162, 15536, 5938, 6471, 25201, 692, 23797, 636, 6513, 19937, 454, 22033, 1923, 17461, 1923, 634, 15536, 5938, 6471, 1923, 17747, 5240, 1923, 16700, 3250, 10389, 853, 4428 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 302, 262, 301, 565, 534, 519, 3778, 540, 513, 4658, 454, 1607, 1433, 15244, 519, 1686, 540, 519, 744, 262, 301, 565, 534, 31027, 689, 9998, 2053, 269, 20323, 1572, 519, 674, 1054, 21840, 630, 29455, 674, 334, 3620, 541, 2389, 320, 264, 519, 31027, 5795, 741, 2012, 547, 519, 8664, 538, 799, 789, 5030, 910, 1280, 628, 538, 2961, 869, 269, 1280, 628, 568, 606, 1858, 540, 827, 476, 2568, 4009, 5195, 1298, 1042, 593, 519, 2413, 1554, 8498, 540, 12275, 787, 24824, 269, 769, 13076, 609, 519, 15194, 689, 20574, 16907, 636, 3873, 519, 4400, 3751, 540, 8581, 538, 476, 1911, 271, 589, 6185, 269, 519, 674, 1054, 21840, 540, 2961, 869, 4957, 741, 2012, 547, 744, 262, 301, 340, 718, 664, 799, 729, 2663, 2587, 997, 1242, 547, 744, 262, 301, 565, 534, 267, 715, 565, 534, 267, 3767, 17427, 543, 715, 565, 663, 269, 20323, 513, 29009, 1004, 519, 11317, 540, 1280, 628, 941, 12199, 676, 519, 744, 262, 301, 565, 534, 15438, 4171, 6905, 1920, 5256, 2818, 941, 21847, 269, 2605, 269, 715, 565, 534, 14360, 519, 1686, 540, 519, 31027, 1524, 547, 519, 2038, 476, 1704, 628, 2540, 543, 3203, 918, 24170, 27895, 814, 13986, 547, 10250, 519, 1899, 1137, 540, 1585, 1016, 268, 694, 14186, 540, 519, 744, 262, 301, 565, 753, 1524, 547, 2413, 2053, 563, 268, 28980, 1923, 476, 29214, 3817, 454, 268, 476, 10082, 269, 279, 1535, 476, 22724, 1535, 476, 1428, 269, 2190, 7825, 1923, 476, 6812, 280, 269, 6858, 326, 454, 268, 476, 6349, 9947, 476, 1001, 276, 454, 268, 2136, 2276, 454, 268, 3109, 1299, 3043, 12383, 454, 10666, 3203, 918, 24170, 27895, 454, 6635, 11037, 808, 269, 918, 24170, 27895, 267, 14787, 267, 2278, 543, 17404, 267, 814, 2854, 4557, 2835, 538, 782, 269, 769, 519, 1744, 20760, 540, 6778, 2274, 514, 3122, 634, 1284, 343, 5112, 717, 18782, 476, 272, 634, 1284, 343, 5112, 717, 18782, 476, 273, 8581, 476, 9692, 279, 910, 519, 645, 25114, 744, 262, 301, 565, 534, 910, 519, 3778, 540, 513, 4658, 634, 570, 23124, 776, 717, 18782, 5292, 476, 272, 630, 5976, 654, 332, 15917, 525, 264, 634, 717, 18782, 1299, 14163, 7100, 540, 18741, 330, 10154, 634, 717, 18782, 1299, 14163, 7100, 540, 2725, 987, 634, 918, 24170, 698, 26387, 18301, 540, 2274, 514, 3122, 700, 652, 1284, 1280, 1326, 630, 513, 1433, 827, 1004, 689, 3345, 1284, 343, 5112, 543, 3162, 2961, 869, 264, 2353, 519, 2835, 616, 1631, 856, 540, 1820, 855, 6810, 540, 519, 2835, 616, 1631, 2139, 593, 6282, 525, 10628, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 28624, 28442, 2187, 476, 1820, 18011, 17098, 972, 1412, 1341, 2012, 1341, 262, 256, 262, 12467, 476, 1820, 18011, 1692, 616, 596, 286, 5073, 6062, 2891, 306, 517, 10937, 5602, 326, 597, 3149, 284, 9131, 290, 22620, 2284, 3299, 1412, 20694, 3299, 1412, 293, 27827, 3299, 1412, 19878, 773, 23300, 1721, 2012, 538, 6690, 912, 825, 28624, 28442, 994, 1721, 1775, 538, 2039, 263, 272, 267, 476, 277, 2187, 825, 1820, 9217, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7705, 281, 19850, 7585, 256, 1684, 596, 3314, 950, 649, 4682, 547, 519, 6288, 19108, 543, 4718, 8861, 4730, 609, 1200, 2915, 2496, 7692, 281, 23010, 267, 594, 2386, 798, 256, 898, 729, 865, 3579, 875, 1352, 6785, 4010, 950, 1200, 2915, 4941, 547, 1404, 30321, 610, 1491, 513, 2736, 780, 8334, 281, 2334, 781, 1317, 8861, 17358, 1200, 2915, 2731, 1134, 269, 2701, 6487, 1018, 646, 15055, 543, 3085, 1405, 899, 269, 4634, 1498, 5243, 5749, 1405, 3425, 267, 789, 1869, 723, 4606, 543, 4555, 267, 1318, 2496, 7692, 281, 25999, 256, 3807, 899, 721, 267, 789, 1616, 1426, 950, 789, 2811, 17237, 267, 1216, 950, 789, 2811, 19818, 344, 267, 543, 1964, 950, 789, 2811, 13110, 780, 8334, 281, 22549, 256, 1656, 1934, 781, 1945, 4277, 910, 972, 781, 1256, 513, 2012, 585, 1620, 2576, 3116, 781, 4555, 543, 4606, 269, 898, 781, 1572, 1412, 763, 800, 540, 9650, 9538, 901, 2856, 2501, 689, 6530, 267, 1141, 3744, 1353, 875, 938, 12058, 948, 721, 1174, 1866, 780, 7692, 281, 5808, 320, 267, 602, 4992, 7294, 256, 1215, 1281, 938, 2634, 4137, 856, 1018, 2576, 3116, 568, 3206, 2496, 8334, 281, 4270, 267, 4952, 952, 596, 1185, 2760, 5129, 6952, 1354, 269, 2311, 1101, 267, 596, 1522, 711, 917, 1018, 547, 798, 950, 2576, 25001, 513, 3440, 693, 596, 269, 1809, 4166, 2614, 267, 596, 1376, 1565, 602, 950, 2576, 19184, 525, 519, 3440, 9900, 267, 789, 4440, 1616, 596, 547, 6952, 621, 269, 1879, 789, 12235, 621, 2182, 267, 6148, 789, 1175, 1616, 596, 547, 29677, 621, 269, 3776, 2634, 2337, 721, 5469, 3270, 899, 891, 543, 1118, 11236, 827, 1018, 786, 4755, 1985, 780, 7692, 281, 7937, 267, 594, 1205, 621, 1631, 256, 1924, 267, 2348, 513, 1412, 763, 800, 540, 9650, 262, 1797, 6616, 602, 824, 1004, 849, 723, 4555, 543, 4606, 899, 721, 267, 543, 1287, 27378, 1018, 1346, 1223, 581, 1759, 593, 741, 3527, 2496, 8334, 281, 1411, 3893, 621, 256, 1656, 8026, 713, 5578, 2306, 721, 1732, 693, 3478, 2059, 609, 1866, 267, 2436, 621, 781, 609, 2828, 267, 1920, 267, 610, 2831, 899, 8861, 781, 2915, 269, 3683, 942, 267, 649, 1831, 4966, 693, 23115, 856, 1018, 1866, 991, 543, 1616, 1107, 782, 7064, 547, 938, 8748, 12058, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 11020, 3163, 19992, 9650, 29570, 454, 300, 18853, 30684, 303, 5058, 4959, 5990, 590, 5746, 28718, 293, 2975, 32577, 3041, 540, 1018, 1004, 1031, 547, 3277, 547, 607, 968, 27714, 6530, 1848, 28477, 6530, 6035, 2241, 267, 1463, 3137, 540, 938, 2702, 547, 3589, 824, 1004, 779, 2623, 1210, 4948, 7744, 543, 2596, 10054, 827, 1480, 2470, 269, 968, 10144, 3343, 12257, 543, 2057, 1928, 892, 568, 513, 1434, 1383, 540, 12563, 6530, 269, 1717, 267, 6266, 540, 1382, 814, 1044, 5342, 593, 875, 707, 2634, 25221, 1018, 824, 1004, 616, 2469, 547, 798, 269, 769, 1249, 267, 621, 779, 835, 540, 519, 29224, 2127, 540, 2413, 2634, 2257, 269, 1284, 1869, 723, 1454, 547, 1451, 269, 1809, 1310, 2542, 7366, 540, 1382, 4930, 267, 594, 6557, 4278, 2683, 676, 875, 1454, 649, 2965, 917, 827, 875, 519, 2634, 27605, 1055, 713, 5863, 9028, 563, 763, 800, 540, 9650, 454, 763, 3621, 8129, 540, 2247, 11837, 666, 581, 14360, 547, 519, 2376, 968, 9989, 519, 932, 574, 3966, 345, 2465, 5620, 513, 7869, 540, 9650, 9495, 3370, 676, 1079, 2215, 520, 5505, 267, 6424, 20031, 871, 543, 24053, 8381, 745, 742, 267, 538, 519, 4760, 10263, 11020, 3163, 538, 476, 3192, 279, 269, 1358, 22579, 519, 2165, 968, 763, 800, 540, 9650, 2223, 799, 678, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25787, 1315, 12472, 776, 10017, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8072, 4692, 1356, 7972, 538, 3127, 2693, 547, 5905, 476, 278, 32763, 676, 476, 1001, 276, 20371, 4692, 1356, 568, 513, 2101, 1857, 1072, 6161, 538, 3127, 543, 814, 1831, 835, 540, 519, 4557, 3056, 3123, 540, 2669, 538, 519, 2197, 269, 898, 568, 6059, 602, 972, 616, 827, 476, 274, 2929, 1007, 2665, 540, 2860, 693, 1022, 1880, 1448, 540, 942, 609, 476, 272, 2929, 1007, 2665, 1169, 1032, 563, 4002, 519, 552, 557, 540, 2622, 9435, 4303, 593, 5988, 476, 275, 267, 23262, 1767, 602, 1079, 3791, 540, 2860, 2665, 538, 519, 2197, 666, 581, 15286, 676, 1818, 2500, 4507, 610, 1732, 6388, 540, 4540, 3283, 563, 7804, 623, 1678, 1690, 932, 4405, 1386, 328, 267, 7548, 543, 18874, 693, 570, 1092, 17341, 11233, 267, 1767, 602, 607, 1082, 607, 476, 276, 32763, 7972, 2049, 12422, 538, 519, 2197, 1813, 547, 2860, 269, 1306, 829, 14959, 7797, 476, 1220, 276, 267, 519, 6059, 2860, 7972, 538, 3127, 616, 15810, 547, 2333, 547, 476, 278, 32763, 676, 476, 1001, 276, 269, 634, 11411, 540, 2860, 568, 4397, 547, 2417, 2333, 19962, 547, 2333, 538, 1272, 19104, 267, 15295, 13289, 543, 519, 2360, 540, 10269, 543, 824, 1981, 2188, 267, 1767, 932, 4405, 1386, 328, 563, 293, 677, 344, 829, 1298, 540, 2860, 2665, 616, 1813, 547, 10269, 946, 269, 634, 3056, 4609, 540, 2860, 616, 5711, 13570, 267, 9641, 267, 522, 525, 20652, 543, 7181, 1851, 2367, 543, 14677, 1460, 267, 6089, 543, 5711, 13570, 1851, 2021, 269, 9435, 6589, 585, 811, 7972, 5001, 982, 15978, 267, 13663, 267, 543, 21061, 5916, 563, 6097, 547, 2622, 9483, 17072, 630, 310, 9128, 1070, 2860, 568, 1851, 835, 540, 519, 1614, 6574, 4220, 547, 519, 2518, 4346, 1813, 547, 32117, 1942, 540, 1416, 267, 519, 3463, 547, 7607, 689, 2669, 454, 6826, 519, 1101, 547, 6085, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1548, 568, 519, 3830, 540, 519, 1899, 8429, 998, 630, 11152, 267, 4281, 264, 543, 11196, 6924, 267, 4510, 264, 2496, 14257, 476, 1691, 267, 476, 1001, 279, 692, 763, 9386, 568, 4399, 2765, 346, 14338, 2410, 14065, 31859, 2971, 19247, 1384, 7445, 3847, 263, 11152, 2073, 476, 4281, 9368, 7751, 543, 4399, 3847, 8987, 476, 6924, 2073, 476, 4510, 9368, 7751, 454, 20228, 2100, 540, 513, 1899, 568, 3989, 676, 4399, 3667, 346, 4219, 538, 586, 257, 270, 257, 4219, 538, 1535, 4151, 610, 4399, 3667, 346, 23438, 257, 270, 257, 14725, 4151, 610, 519, 4542, 4399, 2765, 13997, 344, 13925, 273, 348, 910, 2715, 344, 13925, 272, 12453, 346, 343, 13925, 273, 348, 910, 2715, 343, 13925, 272, 3686, 16859, 2171, 723, 519, 1871, 540, 1079, 2798, 267, 865, 649, 666, 11690, 873, 883, 519, 4542, 912, 7445, 2765, 24877, 476, 4510, 910, 476, 4281, 2410, 268, 476, 6924, 910, 476, 11152, 10592, 8245, 680, 1518, 2483, 7445, 2765, 24877, 476, 14338, 2410, 268, 476, 14065, 10592, 7445, 2765, 346, 14338, 2410, 14065, 10592, 763, 9386, 568, 4399, 2765, 346, 14338, 2410, 14065, 31859, 28775, 713, 2337, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4407, 824, 11326, 4125, 519, 32462, 4305, 540, 10203, 8477, 267, 513, 1970, 2275, 16808, 7594, 1544, 568, 3079, 5059, 593, 1426, 602, 568, 1164, 538, 3940, 543, 3170, 269, 4595, 11950, 616, 519, 1560, 779, 1292, 2707, 540, 1648, 267, 16715, 922, 6981, 1590, 4125, 4058, 547, 2327, 602, 519, 1560, 786, 1869, 723, 1648, 585, 519, 1964, 540, 519, 1554, 563, 5194, 3483, 585, 1004, 547, 7747, 513, 1970, 2275, 16808, 2732, 568, 547, 2569, 519, 1981, 540, 1826, 476, 273, 3987, 269, 898, 568, 1869, 4998, 602, 596, 5077, 1101, 609, 513, 6484, 626, 610, 4387, 269, 1358, 786, 1118, 606, 1367, 4879, 1759, 593, 707, 1072, 267, 1560, 1826, 267, 543, 1426, 6981, 1991, 547, 12561, 513, 1970, 2275, 16808, 2732, 269, 6333, 519, 1739, 547, 3313, 952, 519, 7594, 1544, 2630, 1568, 1369, 707, 8192, 6724, 563, 17637, 532, 513, 1970, 2275, 16808, 7594, 1544, 3622, 7182, 9274, 267, 22053, 267, 5613, 267, 3694, 338, 267, 26265, 267, 2250, 553, 267, 543, 588, 8944, 5388, 269, 1703, 616, 2053, 602, 10808, 543, 5452, 616, 849, 14284, 269, 2368, 1970, 2275, 16808, 7594, 4566, 267, 2705, 267, 1450, 1507, 5666, 540, 5613, 267, 5388, 267, 543, 2898, 9274, 563, 1103, 513, 6093, 1970, 2275, 16808, 7594, 1544, 267, 972, 568, 513, 3232, 3970, 540, 476, 271, 269, 278, 547, 476, 273, 13728, 630, 736, 547, 476, 6872, 10101, 264, 540, 11950, 269, 1452, 5666, 540, 11950, 1683, 476, 3199, 547, 476, 13301, 8477, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1012, 476, 274, 269, 277, 634, 8293, 2465, 2763, 14497, 692, 1692, 547, 2422, 8293, 2465, 2763, 14497, 269, 769, 6310, 2474, 267, 8293, 2465, 2763, 14497, 568, 3989, 676, 519, 1739, 281, 575, 630, 343, 264, 1422, 19008, 535, 630, 343, 264, 1422, 19008, 554, 630, 343, 264, 575, 3287, 264, 18016, 325, 630, 343, 264, 18016, 327, 3287, 264, 1929, 318, 2715, 333, 1422, 1729, 589, 348, 31046, 326, 13375, 630, 1535, 1422, 2431, 6661, 692, 13510, 326, 269, 9547, 12773, 476, 275, 269, 278, 270, 276, 692, 763, 3328, 9547, 12773, 585, 713, 1587, 568, 476, 275, 269, 278, 856, 540, 476, 276, 269, 901, 1587, 568, 2386, 547, 5225, 2439, 5141, 541, 1518, 14387, 692, 12385, 24136, 568, 519, 1353, 540, 2338, 267, 5546, 267, 543, 3270, 269, 898, 568, 1031, 547, 4194, 2042, 538, 513, 3099, 540, 4610, 267, 1519, 2257, 267, 4702, 267, 543, 8804, 780, 2252, 596, 1616, 547, 3986, 707, 4081, 2773, 267, 1376, 676, 4259, 10853, 3853, 543, 2324, 2509, 873, 29367, 780, 23737, 14387, 1966, 692, 288, 6310, 1966, 568, 513, 1966, 602, 3340, 519, 946, 540, 6310, 2409, 543, 2035, 547, 4194, 780, 1012, 8293, 2465, 2763, 14497, 630, 1692, 268, 2414, 530, 270, 476, 275, 5153, 8386, 28157, 6201, 256, 2020, 763, 8293, 2465, 2763, 14497, 2829, 267, 1548, 1772, 634, 8293, 2465, 2763, 14497, 269, 2353, 713, 3081, 568, 602, 952, 575, 630, 343, 264, 568, 17065, 7458, 1063, 535, 630, 343, 264, 543, 554, 630, 343, 264, 2282, 513, 267, 543, 952, 535, 630, 343, 2020, 278, 7830, 570, 12781, 454, 1428, 13012, 540, 1995, 454, 27183, 4029, 7388, 1540, 9753, 692, 1012, 1215, 547, 946, 519, 25837, 11532, 692, 3721, 338, 585, 4635, 519, 8293, 2465, 2763, 14497, 547, 4855, 7799, 1080, 5153, 476, 272, 281, 634, 8293, 2465, 2763, 14497, 6645, 721, 602, 952, 649, 616, 2016, 476, 274, 3252, 971, 602, 2715, 18091, 348, 326, 630, 343, 264, 1422, 19008, 535, 630, 343, 264, 1422, 19008, 554, 630, 343, 264, 2715, 270, 18091, 348, 543, 2715, 18091, 4153, 3916, 318, 692, 1892, 476, 6872, 273, 692, 13043, 7981, 1235, 692, 1892, 476, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2791, 22646, 585, 3936, 2401, 454, 5472, 1913, 5627, 1614, 5022, 610, 1447, 616, 16053, 454, 17442, 645, 7578, 966, 7534, 910, 32228, 2103, 538, 20307, 454, 763, 1101, 32228, 2103, 3357, 547, 519, 1283, 540, 519, 3162, 6816, 585, 1114, 4128, 267, 609, 519, 5354, 29400, 6710, 543, 513, 3668, 540, 4316, 538, 741, 22657, 269, 2290, 540, 1862, 5649, 811, 827, 834, 17442, 645, 7578, 966, 7534, 910, 32228, 2103, 538, 20307, 257, 2483, 303, 5953, 543, 918, 5953, 532, 320, 454, 26123, 533, 5953, 543, 737, 5953, 532, 320, 616, 16559, 2066, 1855, 570, 879, 594, 16852, 522, 654, 10440, 269, 3864, 13896, 6157, 1705, 711, 12446, 538, 513, 834, 8663, 1066, 1514, 543, 2686, 5251, 29389, 272, 5680, 828, 267, 3627, 281, 763, 3330, 1862, 5649, 811, 827, 834, 303, 5953, 543, 918, 5953, 532, 320, 257, 2483, 297, 22981, 6928, 547, 1831, 1101, 4457, 8056, 580, 7949, 547, 1715, 10215, 898, 729, 606, 23349, 12625, 585, 1715, 10215, 781, 1101, 4457, 19366, 538, 476, 7277, 273, 269, 654, 784, 13259, 623, 5622, 670, 665, 570, 532, 267, 4114, 269, 9264, 271, 268, 4572, 271, 28011, 5649, 811, 827, 834, 7343, 334, 14208, 551, 517, 834, 2483, 14946, 618, 540, 24596, 2069, 454, 763, 1101, 3864, 13896, 4547, 513, 7287, 547, 1732, 2933, 543, 741, 1453, 998, 2069, 543, 25367, 2866, 269, 901, 5075, 2968, 4641, 998, 1585, 5238, 538, 20307, 543, 3057, 331, 28386, 28011, 5649, 811, 827, 834, 14946, 618, 540, 24596, 2069, 257, 2483, 299, 675, 540, 4154, 910, 589, 648, 516, 454, 288, 1906, 1179, 802, 540, 4154, 267, 1336, 538, 519, 589, 648, 516, 9503, 676, 513, 1590, 19907, 538, 5239, 476, 6977, 277, 267, 4718, 811, 982, 476, 1220, 271, 2367, 6360, 883, 7136, 21492, 7345, 936, 519, 1739, 1862, 5649, 811, 827, 834, 288, 648, 516, 4154, 257, 2483, 17273, 476, 1240, 540, 476, 2004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2414, 1449, 713, 3069, 267, 519, 2319, 3379, 3928, 540, 19473, 29912, 568, 8983, 609, 513, 2324, 595, 7246, 295, 5444, 543, 513, 16220, 9168, 4528, 540, 519, 5444, 711, 6721, 3026, 340, 276, 294, 322, 269, 901, 1449, 4951, 602, 8983, 609, 519, 1875, 268, 11529, 5444, 4951, 5176, 5595, 519, 9761, 19221, 538, 741, 1973, 8043, 269, 634, 8983, 1510, 519, 5444, 941, 1287, 10480, 2699, 5779, 267, 799, 6923, 3568, 1715, 276, 294, 322, 799, 3361, 1256, 811, 1713, 19221, 540, 9761, 12074, 538, 1973, 8043, 563, 763, 3173, 3494, 602, 713, 1223, 581, 513, 2601, 602, 11326, 1164, 538, 2699, 5779, 616, 5532, 547, 2295, 2068, 269, 634, 24370, 1125, 602, 3346, 609, 3026, 340, 276, 294, 322, 5036, 1055, 606, 4761, 3210, 799, 5012, 547, 513, 5312, 1533, 540, 6553, 1369, 519, 1973, 8043, 269, 901, 5444, 949, 581, 519, 2601, 1946, 1004, 945, 1810, 1405, 3548, 5779, 15587, 1869, 616, 693, 513, 1164, 1981, 585, 2295, 6285, 1247, 938, 824, 27899, 11937, 616, 711, 267, 17497, 2295, 2068, 568, 835, 540, 519, 3056, 6146, 619, 538, 519, 2136, 2276, 269, 1403, 513, 1106, 540, 5444, 3797, 729, 2919, 547, 3077, 713, 5444, 267, 543, 849, 824, 6090, 3238, 538, 875, 519, 1560, 23465, 547, 3026, 340, 276, 294, 322, 267, 513, 1360, 1804, 7202, 1223, 581, 1500, 538, 519, 1297, 540, 1004, 945, 616, 10645, 676, 2295, 2068, 267, 799, 568, 6385, 8375, 563, 17098, 8355, 267, 1360, 4277, 2376, 269, 634, 1480, 1560, 814, 1044, 15268, 543, 4657, 875, 621, 24515, 1055, 5563, 543, 10108, 585, 6634, 540, 1296, 267, 2705, 594, 2760, 2219, 602, 519, 2601, 649, 1185, 2295, 6285, 729, 1317, 540, 621, 269, 1635, 4742, 811, 14388, 547, 891, 15495, 267, 938, 2281, 941, 2965, 1818, 938, 1418, 1949, 21260, 269, 16593, 2685, 3744, 786, 581, 2111, 547, 1294, 952, 713, 3026, 340, 276, 10907, 568, 1869, 2877, 547, 535, 754, 1055, 1978, 12490, 540, 4551, 267, 543, 952, 711, 267, 3605, 513, 1259, 547, 4894, 621, 689, 519, 1480, 11646, 269, 24093, 540, 9025, 2042, 786, 6175, 543, 1004, 786, 2661, 3476, 10611, 788, 569, 5719, 8541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 7170, 281, 24531, 4095, 966, 7860, 998, 2296, 9085, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 875, 2984, 666, 948, 721, 1174, 1114, 4529, 286, 4653, 267, 649, 2811, 2469, 547, 2263, 930, 6909, 8941, 689, 3127, 2854, 538, 2296, 1282, 519, 476, 736, 628, 2540, 256, 1452, 5830, 1031, 519, 1379, 540, 9423, 547, 3142, 3007, 547, 1271, 2152, 7133, 1004, 781, 2729, 780, 4089, 476, 272, 281, 1133, 24286, 519, 18903, 540, 12267, 454, 5331, 1373, 2111, 547, 1294, 519, 1158, 998, 2576, 3116, 781, 4064, 269, 2334, 781, 1018, 2542, 1281, 1107, 621, 2636, 721, 547, 1995, 1272, 689, 1585, 5380, 269, 1879, 649, 1224, 4095, 3332, 2854, 538, 2296, 267, 649, 1451, 827, 519, 2528, 267, 5389, 267, 543, 2591, 5185, 676, 12075, 2429, 1686, 780, 12244, 281, 9523, 513, 2123, 1650, 827, 513, 942, 950, 2542, 5280, 596, 1732, 1174, 2576, 610, 1945, 1007, 780, 4089, 476, 273, 281, 27915, 31875, 609, 9293, 454, 7628, 519, 476, 736, 628, 2540, 267, 1082, 12703, 4095, 5830, 3323, 1210, 2296, 547, 2995, 741, 1378, 2984, 3079, 540, 15603, 1866, 5581, 873, 269, 1358, 5206, 827, 3584, 602, 20974, 1229, 1034, 547, 873, 543, 741, 2950, 267, 899, 22634, 630, 320, 1514, 1362, 1062, 264, 543, 4008, 7862, 269, 901, 729, 12316, 1317, 891, 5396, 941, 1419, 16053, 610, 3623, 10642, 1354, 780, 28350, 281, 4427, 531, 1181, 910, 4658, 945, 616, 1447, 3532, 610, 31345, 1813, 547, 2188, 971, 607, 5198, 267, 4008, 267, 610, 1362, 780, 12244, 281, 6056, 827, 513, 942, 950, 707, 6644, 7012, 1405, 4862, 610, 15197, 269, 1215, 1705, 621, 1745, 286, 3503, 1524, 707, 4555, 543, 1865, 873, 609, 513, 7649, 563, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 2793, 14877, 306, 5058, 28960, 8656, 24912, 14298, 10499, 31266, 2207, 5442, 594, 4811, 17252, 26996, 289, 21788, 9816, 7495, 623, 5357, 2975, 312, 18907, 476, 1789, 267, 476, 1708, 271, 454, 8967, 1046, 1782, 4139, 4750, 540, 5564, 573, 21326, 3194, 5525, 454, 2562, 9898, 4629, 16598, 16249, 31909, 15288, 6730, 717, 21715, 2207, 27107, 294, 2562, 3201, 3041, 9569, 5025, 30426, 5058, 5508, 631, 7417, 2793, 918, 13263, 3008, 4456, 312, 24912, 10323, 22268, 18161, 32209, 454, 10112, 9665, 7905, 1299, 10361, 267, 4972, 540, 2296, 267, 20961, 573, 4223, 836, 7236, 18171, 571, 6554, 5441, 585, 6468, 267, 918, 592, 828, 5984, 267, 4639, 19377, 267, 3127, 563, 24465, 2296, 6965, 814, 24111, 1657, 519, 30566, 545, 17374, 1436, 540, 1148, 543, 814, 17947, 2789, 4145, 602, 5905, 519, 2729, 540, 519, 554, 2416, 1729, 544, 3176, 1016, 531, 3179, 269, 1635, 11589, 519, 4731, 320, 1047, 602, 555, 3994, 338, 519, 2729, 540, 519, 8589, 2213, 3296, 540, 519, 4095, 2486, 267, 4095, 2296, 6965, 676, 2021, 814, 2016, 5639, 547, 519, 642, 18757, 6804, 269, 18243, 527, 2021, 779, 12591, 14850, 701, 752, 540, 17946, 691, 1229, 11182, 540, 22634, 8573, 5200, 5208, 267, 7130, 267, 543, 519, 11411, 540, 6408, 268, 1025, 5446, 5645, 676, 1169, 18243, 527, 269, 4256, 1603, 5222, 741, 1360, 6228, 538, 519, 8739, 14426, 6384, 607, 621, 5705, 569, 7436, 741, 6521, 689, 513, 15672, 2990, 547, 513, 3844, 835, 269, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24465, 5675, 538, 2296, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 3127, 1315, 476, 736, 628, 11416, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 1281, 7066, 1597, 1611, 888, 307, 516, 1597, 1422, 339, 3146, 268, 1597, 315, 607, 513, 2012, 585, 8695, 269, 7066, 1597, 781, 2012, 5169, 568, 6196, 2296, 267, 543, 519, 2495, 540, 519, 2012, 7066, 1597, 568, 834, 325, 1515, 4884, 2668, 7066, 1597, 568, 513, 12045, 540, 7066, 9109, 630, 24874, 2296, 2567, 2110, 1106, 540, 7066, 557, 569, 534, 269, 17286, 3256, 1031, 607, 513, 2016, 2012, 563, 307, 516, 1597, 568, 513, 4686, 1101, 2012, 585, 9038, 269, 7066, 1597, 568, 606, 5973, 1836, 2189, 21519, 1932, 585, 1312, 4079, 543, 1453, 269, 630, 1220, 271, 772, 2529, 269, 17227, 994, 4537, 1144, 2630, 568, 513, 6476, 540, 519, 8560, 540, 7066, 1597, 543, 1644, 4408, 269, 7066, 341, 517, 267, 7066, 341, 542, 543, 7066, 9109, 616, 519, 7986, 8795, 3029, 540, 7066, 1597, 630, 258, 684, 4289, 539, 264, 19486, 538, 519, 5440, 476, 1911, 271, 269, 901, 7911, 2012, 729, 693, 519, 4463, 540, 922, 8560, 538, 476, 1220, 273, 543, 814, 1831, 1454, 1447, 2442, 2094, 267, 609, 519, 4528, 7066, 341, 517, 4742, 1447, 6752, 762, 269, 630, 1001, 275, 17510, 10803, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 30206, 476, 272, 2433, 7698, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 330, 337, 325, 322, 336, 276, 335, 293, 279, 340, 279, 261, 4289, 284, 12195, 10455, 307, 343, 338, 11276, 301, 8104, 330, 278, 312, 295, 311, 345, 514, 290, 304, 275, 331, 309, 294, 313, 274, 9590, 275, 312, 10202, 272, 269, 1215, 1705, 596, 1745, 827, 8384, 519, 476, 1724, 628, 286, 273, 269, 1215, 1281, 519, 476, 1724, 628, 21656, 938, 7803, 5126, 1062, 543, 2797, 5238, 286, 476, 274, 269, 1215, 1454, 1705, 596, 1451, 827, 519, 2112, 593, 5061, 543, 2112, 593, 6760, 1354, 8384, 519, 4670, 286, 275, 269, 1215, 798, 596, 1589, 519, 2923, 543, 2442, 2528, 11269, 540, 4563, 4892, 267, 3226, 4563, 2367, 267, 723, 8329, 547, 513, 5906, 2916, 540, 3043, 4250, 543, 4160, 286, 30206, 476, 273, 281, 7698, 2433, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 274, 341, 291, 310, 310, 344, 275, 13967, 327, 292, 2073, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 9928, 275, 21990, 312, 296, 336, 332, 277, 330, 9223, 281, 8698, 1312, 7044, 543, 5635, 543, 4334, 519, 5133, 540, 1079, 3979, 1977, 3540, 2924, 3401, 269, 18461, 741, 6612, 543, 5397, 585, 741, 2014, 269, 4746, 267, 1832, 538, 2247, 602, 972, 568, 1100, 1318, 610, 4636, 2626, 2507, 855, 5225, 1810, 1406, 1118, 519, 4661, 602, 835, 729, 1732, 982, 519, 824, 269, 476, 272, 269, 1548, 568, 9410, 13162, 3751, 779, 2070, 610, 4126, 593, 5198, 286, 476, 273, 269, 1548, 568, 29346, 2473, 779, 2070, 610, 4126, 593, 5198, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 2480, 2753, 548, 267, 5030, 1079, 1655, 2828, 910, 15207, 519, 570, 1901, 543, 22123, 519, 24897, 269, 1358, 6068, 8384, 9413, 1927, 543, 4687, 741, 4555, 827, 873, 780, 3080, 1554, 267, 789, 4862, 827, 513, 1007, 7260, 1572, 834, 29727, 25404, 23874, 257, 602, 729, 4947, 856, 269, 15207, 729, 9599, 547, 4585, 621, 607, 513, 1463, 3562, 8686, 8721, 5305, 267, 1247, 22123, 9053, 7996, 585, 922, 26974, 3740, 5305, 269, 901, 3366, 547, 513, 4901, 827, 875, 1004, 13498, 1463, 3562, 8686, 8721, 13847, 8335, 689, 26974, 3740, 13847, 780, 20755, 3240, 6045, 267, 834, 2791, 1294, 267, 22123, 267, 950, 513, 7260, 4422, 2786, 547, 3381, 267, 930, 1004, 1589, 621, 781, 711, 607, 1434, 607, 835, 3254, 538, 519, 11596, 1701, 1261, 4797, 267, 834, 2005, 781, 899, 952, 649, 6836, 1818, 938, 1378, 7260, 1934, 538, 2480, 2753, 548, 269, 1284, 9327, 1405, 723, 513, 2462, 21035, 6578, 267, 865, 621, 1522, 1413, 1114, 689, 3318, 8874, 1500, 538, 519, 2749, 3010, 306, 958, 21330, 267, 1620, 1018, 15207, 5921, 269, 2701, 3773, 267, 834, 4517, 3006, 267, 1004, 1745, 19849, 21724, 547, 2161, 789, 14478, 513, 1463, 3562, 8686, 8721, 5305, 269, 898, 781, 899, 9849, 707, 2025, 9660, 3079, 540, 9140, 1007, 3283, 15323, 5445, 1312, 8815, 602, 519, 1259, 513, 7260, 568, 5950, 12582, 1405, 3313, 2436, 610, 711, 2576, 21593, 621, 269, 1717, 267, 789, 7691, 1945, 25031, 282, 1256, 1498, 30982, 23874, 1185, 1390, 2027, 2360, 543, 2502, 4729, 6050, 267, 1082, 4961, 540, 2480, 2753, 548, 15763, 621, 1813, 547, 922, 1463, 3562, 8686, 8721, 4567, 780, 1103, 519, 1439, 267, 5103, 2348, 7864, 2200, 267, 15207, 543, 22123, 2813, 741, 1360, 1378, 4528, 540, 30982, 23874, 267, 18445, 596, 1810, 1405, 991, 513, 5458, 6578, 547, 1118, 1945, 19278, 269, 3414, 741, 7045, 267, 789, 4121, 602, 32198, 1919, 9003, 676, 875, 789, 2811, 4843, 1223, 1291, 721, 547, 4413, 856, 593, 8748, 2833, 269, 1656, 4352, 741, 19471, 7260, 4769, 1405, 1831, 513, 3625, 321, 13831, 5734, 267, 789, 941, 10583, 540, 741, 5137, 543, 7948, 1405, 7227, 547, 7832, 593, 741, 1985, 1788, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 22081, 1281, 7082, 8226, 540, 513, 1463, 3562, 8686, 8721, 5305, 8428, 689, 513, 26974, 3740, 5305, 888, 296, 798, 711, 723, 2123, 4978, 610, 8369, 269, 2705, 267, 1775, 666, 1683, 23610, 1344, 1759, 593, 1382, 269, 8528, 1492, 7082, 8226, 540, 513, 1463, 3562, 8686, 8721, 5305, 15320, 689, 513, 26974, 3740, 5305, 538, 1896, 2081, 1384, 272, 269, 2298, 281, 6800, 949, 13498, 1463, 3562, 8686, 8721, 13847, 607, 2539, 2298, 3379, 547, 26974, 3740, 13847, 269, 713, 568, 1317, 1463, 3562, 8686, 8721, 13847, 616, 3335, 3812, 609, 4130, 23348, 543, 949, 711, 723, 519, 1482, 1377, 540, 2504, 2418, 607, 26974, 3740, 13847, 780, 273, 269, 16663, 281, 972, 949, 1869, 581, 930, 16663, 7923, 547, 1463, 3562, 8686, 8721, 13847, 269, 6800, 949, 2070, 873, 607, 17071, 543, 711, 4502, 8384, 780, 274, 269, 8244, 281, 1463, 3562, 8686, 8721, 13847, 1419, 723, 3908, 3892, 543, 949, 711, 581, 2139, 538, 782, 6990, 269, 713, 666, 1860, 519, 8226, 540, 519, 4670, 267, 607, 6800, 949, 2070, 621, 607, 1447, 1271, 610, 1713, 982, 513, 26974, 3740, 5305, 780, 275, 269, 6725, 281, 1463, 3562, 8686, 8721, 2124, 553, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3682, 21793, 540, 2504, 3515, 538, 6252, 6191, 609, 561, 22663, 281, 19556, 20592, 454, 9209, 6403, 1529, 334, 632, 2847, 16695, 454, 22711, 540, 8212, 281, 10985, 10022, 454, 303, 3174, 5752, 5161, 540, 26471, 267, 15971, 543, 12557, 4247, 3056, 547, 519, 11601, 540, 2168, 7221, 538, 11327, 2200, 269, 28611, 267, 649, 2911, 827, 834, 329, 10849, 257, 547, 581, 3524, 10642, 538, 834, 332, 778, 1149, 257, 865, 602, 519, 1267, 540, 519, 2504, 5752, 568, 3254, 538, 519, 1106, 540, 513, 717, 656, 339, 5750, 1141, 1142, 2816, 568, 5258, 883, 607, 1082, 4247, 607, 2556, 543, 1142, 4305, 568, 13401, 538, 519, 6191, 540, 519, 12051, 607, 1099, 10999, 2556, 269, 769, 519, 11327, 4641, 1896, 6191, 616, 4767, 538, 1142, 3942, 540, 519, 2504, 1184, 267, 799, 5267, 513, 1966, 540, 10316, 2095, 13186, 1826, 630, 295, 12396, 1040, 1717, 267, 538, 930, 3549, 513, 3684, 540, 1142, 3942, 568, 8678, 676, 23740, 26797, 269, 2353, 891, 6191, 1131, 13789, 899, 513, 2582, 5691, 3684, 2094, 519, 1568, 4283, 538, 1931, 538, 519, 1101, 3684, 543, 602, 1931, 568, 9738, 2394, 519, 2063, 3684, 267, 1510, 3850, 9444, 13515, 6862, 2242, 538, 519, 5311, 269, 3973, 538, 513, 20592, 1935, 267, 621, 568, 6700, 547, 2569, 519, 1966, 540, 630, 295, 12396, 264, 547, 513, 1966, 609, 1896, 2504, 3515, 538, 6252, 1141, 1142, 1899, 1131, 13789, 1131, 581, 10416, 899, 513, 5691, 3684, 269, 634, 1966, 568, 602, 2094, 519, 1899, 568, 865, 1279, 267, 2899, 519, 2063, 3693, 540, 513, 2816, 3762, 519, 1101, 3942, 267, 621, 666, 1376, 519, 4393, 540, 513, 1007, 2816, 1247, 519, 1101, 3524, 10642, 960, 7575, 998, 519, 2504, 1899, 269, 6356, 1947, 267, 519, 834, 1706, 5537, 3684, 257, 20592, 519, 1899, 1131, 581, 4393, 811, 982, 835, 2816, 693, 519, 1482, 942, 267, 602, 568, 267, 6772, 2355, 1063, 519, 9268, 6009, 616, 10423, 269, 634, 2203, 568, 11117, 609, 519, 948, 540, 1079, 540, 519, 5010, 1151, 951, 543, 547, 581, 2111, 547, 6218, 621, 267, 621, 729, 2556, 547, 1711, 513, 1305, 540, 8320, 602, 1131, 2099, 519, 3510, 896, 1353, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2171, 11821, 11841, 543, 10071, 4433, 264, 513, 1906, 2053, 2063, 3018, 269, 769, 513, 1867, 540, 3111, 902, 540, 519, 27062, 17318, 267, 649, 5219, 547, 968, 320, 16143, 11841, 540, 6469, 5208, 6100, 769, 513, 1867, 540, 3653, 9991, 689, 7098, 6955, 6951, 649, 1767, 602, 513, 2199, 5646, 322, 650, 528, 968, 24216, 2436, 972, 1185, 1044, 2147, 1651, 573, 1878, 538, 519, 2250, 6100, 1656, 2063, 10732, 649, 20926, 623, 761, 328, 4793, 601, 267, 519, 1753, 23122, 267, 945, 1767, 602, 649, 723, 547, 1451, 968, 5228, 1651, 573, 1878, 602, 723, 3144, 1747, 9731, 12552, 547, 9400, 3474, 787, 585, 5373, 891, 547, 1250, 3007, 267, 543, 585, 4687, 1010, 3069, 602, 519, 10539, 949, 581, 6766, 676, 519, 2262, 968, 27349, 6100, 594, 1589, 646, 949, 581, 1318, 281, 621, 779, 711, 1175, 602, 519, 12683, 540, 10071, 4992, 519, 1482, 607, 11841, 563, 12179, 3118, 267, 11841, 568, 513, 8579, 2165, 585, 519, 2557, 693, 799, 1945, 4386, 267, 610, 513, 12166, 2165, 547, 3277, 547, 519, 5086, 693, 799, 3515, 610, 7252, 12969, 267, 543, 621, 568, 10355, 12683, 269, 594, 1810, 1406, 917, 1018, 4793, 601, 2965, 1767, 267, 855, 649, 1058, 723, 4957, 621, 547, 968, 4532, 6342, 9731, 18794, 938, 1007, 6085, 532, 8468, 454, 18794, 2219, 4538, 7391, 267, 1246, 824, 18763, 3988, 543, 1294, 741, 30491 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 27387, 281, 4569, 10580, 948, 692, 272, 269, 12361, 4569, 10580, 948, 692, 23896, 476, 278, 538, 851, 589, 538, 7923, 3561, 692, 1692, 798, 1775, 1397, 621, 568, 513, 17242, 547, 519, 5858, 2496, 6343, 1775, 1705, 729, 1336, 519, 8998, 540, 519, 5858, 547, 581, 630, 272, 267, 273, 2020, 6533, 1775, 1336, 519, 13506, 543, 721, 5224, 519, 4409, 514, 921, 602, 829, 335, 269, 3515, 1587, 540, 13506, 815, 910, 272, 1336, 519, 824, 13506, 547, 581, 910, 272, 270, 275, 692, 12898, 726, 19982, 519, 13506, 1775, 3893, 595, 284, 1724, 270, 273, 692, 6343, 798, 1775, 798, 1985, 2496, 273, 269, 12361, 1234, 281, 4569, 10580, 948, 692, 2467, 616, 1896, 1114, 2081, 547, 798, 602, 563, 272, 264, 16534, 519, 3830, 540, 519, 1899, 585, 586, 543, 5372, 586, 538, 519, 3830, 540, 519, 5858, 676, 602, 4082, 23463, 3478, 513, 13392, 3830, 538, 1535, 269, 634, 1899, 568, 17242, 547, 519, 5858, 952, 543, 1152, 952, 519, 13392, 3830, 814, 513, 5595, 3597, 268, 952, 621, 6971, 547, 4399, 6234, 630, 343, 268, 513, 8203, 273, 284, 476, 271, 16859, 273, 264, 1635, 11264, 519, 4009, 267, 1265, 519, 4099, 540, 519, 5858, 543, 865, 1265, 519, 3830, 267, 543, 1287, 9386, 540, 519, 1899, 689, 519, 4099, 540, 519, 5858, 547, 630, 273, 267, 476, 277, 1070, 513, 8953, 540, 519, 5858, 269, 8058, 602, 630, 273, 267, 476, 277, 264, 25389, 519, 4834, 540, 1312, 1899, 543, 5858, 543, 1397, 602, 519, 1899, 568, 13902, 547, 519, 8953, 676, 6029, 602, 519, 1587, 540, 741, 19527, 568, 910, 272, 780, 274, 264, 8058, 602, 1535, 284, 476, 273, 267, 586, 284, 476, 277, 25389, 519, 4834, 540, 1312, 1899, 543, 5858, 543, 1397, 602, 519, 9386, 540, 519, 1899, 568, 3160, 547, 519, 12045, 540, 519, 3830, 540, 519, 5858, 693, 602, 1448, 780, 274, 269, 12361, 1234, 281, 4569, 10580, 948, 692, 3225, 566, 540, 5858, 2322, 538, 3044, 1106, 630, 343, 266, 272, 8203, 273, 1341, 263, 344, 268, 273, 8203, 273, 815, 1839, 454, 290, 10938, 568, 15017, 20228, 2100, 540, 8953, 689, 4099, 547, 630, 273, 267, 277, 264, 568, 15017, 20228, 2100, 540, 2016, 1899, 568, 888, 6701, 519, 3515, 13902, 454, 9989, 630, 273, 267, 277, 264, 14183, 1312, 4834 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1924, 19390, 514, 932, 16211, 454, 258, 9941, 28319, 273, 19073, 5881, 454, 258, 918, 2420, 4534, 1849, 3837, 454, 258, 476, 1001, 280, 268, 6860, 268, 1789, 692, 3698, 10956, 26028, 2187, 825, 1219, 942, 6025, 2187, 1038, 2132, 530, 265, 339, 454, 825, 2132, 942, 454, 672, 692, 337, 272, 815, 10956, 2891, 31435, 5602, 337, 273, 815, 10956, 2891, 16591, 25742, 15419, 2745, 19629, 333, 3918, 14154, 2969, 281, 15419, 2745, 16868, 272, 263, 273, 4917, 2745, 16868, 273, 263, 273, 11723, 2745, 263, 516, 701, 520, 3488, 322, 944, 262, 7565, 274, 264, 9239, 3698, 9018, 10031, 825, 1535, 815, 834, 325, 5622, 4840, 825, 1219, 6418, 10031, 1038, 1875, 29985, 1535, 1948, 591, 273, 9226, 274, 454, 1038, 1535, 815, 834, 8663, 4840, 825, 6418, 4590, 825, 2132, 1535, 692, 2745, 263, 537, 614, 31156, 2745, 19629, 333, 4596, 7419, 9898, 281, 15419, 3698, 1118, 6831, 3300, 10031, 825, 1535, 815, 476, 271, 454, 825, 1219, 6418, 263, 4958, 815, 8771, 2187, 1038, 952, 711, 1427, 912, 2018, 1875, 29985, 1535, 454, 2018, 1535, 815, 1535, 1341, 476, 272, 454, 2018, 2132, 1535, 454, 1038, 3116, 912, 2018, 2132, 1535, 454, 825, 2132, 6418, 454, 825, 1820, 3287, 994, 825, 2132, 1535, 692, 551, 337, 272, 815, 1118, 6831, 3300, 4590, 2745, 263, 551, 337, 272, 15405, 2745, 263, 551, 337, 272, 31156, 551, 337, 273, 815, 1118, 6831, 3300, 4590, 2745, 263, 551, 337, 273, 15405, 2745, 263, 551, 337, 272, 263, 12148, 4917, 2745, 263, 551, 337, 273, 31156, 2745, 19629, 333, 290, 310, 281, 15419, 3698, 1651, 3287, 2187, 825, 2132, 1535, 266, 272, 692, 325, 815, 1651, 454, 2745, 6600, 263, 1015, 11723, 3698, 1039, 518, 5416, 14720, 2187, 825, 2132, 513, 17070, 692, 3698, 1289, 518, 6262, 2187, 825, 1820, 6262, 263, 273, 267, 275, 4917, 825, 1820, 6262, 263, 274, 267, 276, 11723, 322, 718, 518, 263, 9554, 2020, 258, 589, 19479, 1121, 20047, 519, 2796, 538, 799, 621, 729, 2813, 563, 258, 4634, 952, 596, 21933, 30185, 519, 17082, 535, 343, 333, 692, 3698, 9018, 3287, 2187, 825, 1219, 3568, 10857, 2187, 1038, 2132, 1535, 538, 561, 454, 825, 2132, 3568, 692, 935, 13935, 318, 1428, 815, 9018, 263, 1428, 994, 12534, 272, 815, 3568, 318, 1428, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 7481, 12534, 273, 815, 3568, 318, 1428, 8443, 1724, 267, 1691, 267, 1428, 267, 1626, 267, 1704, 7481, 12534, 274, 815, 3568, 318, 1428, 263, 9792, 263, 272, 267, 476, 736, 4917, 2745, 263, 12534, 272, 267, 12534, 273, 267, 12534, 274, 2020, 537, 614, 263, 5655, 2020, 23437, 9018, 454, 258, 537, 614, 263, 5655, 2020, 12534, 275, 815, 3568, 318, 1428, 263, 9792, 263, 1691, 267, 736, 4917, 2745, 263, 12534, 275, 2020, 258, 5581, 29005, 535, 343, 333, 454, 16482, 16482 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15973, 21899, 827, 2875, 9740, 3340, 4977, 267, 5812, 543, 6209, 9344, 269, 30451, 5461, 538, 6313, 543, 5355, 21249, 2853, 1058, 2307, 519, 1739, 2055, 281, 2608, 2549, 594, 8746, 602, 1053, 538, 1250, 4928, 4309, 5812, 267, 4977, 543, 6209, 9344, 602, 1489, 1565, 286, 2608, 2549, 594, 8746, 602, 519, 9344, 594, 3651, 1053, 8308, 2992, 1250, 1153, 610, 8664, 781, 3370, 2773, 4441, 543, 5551, 1565, 4093, 286, 769, 1082, 3506, 267, 519, 4267, 547, 891, 2055, 1419, 2039, 689, 7117, 2254, 1360, 336, 547, 7117, 2254, 693, 782, 269, 336, 1879, 602, 781, 519, 2013, 267, 9344, 616, 7117, 15842, 5287, 336, 543, 3610, 543, 3506, 991, 513, 7117, 10517, 1515, 6539, 336, 547, 4368, 873, 269, 589, 29766, 14173, 585, 717, 15665, 281, 476, 1428, 674, 1460, 525, 585, 7935, 5287, 24110, 267, 476, 273, 27160, 3947, 3610, 543, 16984, 476, 1428, 2081, 547, 1118, 519, 2556, 18203, 269, 16952, 8249, 689, 589, 2316, 16731, 5291, 2517, 4178, 269, 10620, 269, 701, 1513, 517, 2593, 547, 1224, 811, 4930, 593, 4879, 267, 4647, 1353, 10274, 267, 543, 811, 256, 320, 638, 582, 282, 1879, 602, 320, 258, 4375, 282, 338, 519, 2013, 267, 9344, 616, 6864, 582, 282, 15842, 5287, 320, 638, 582, 282, 543, 3610, 543, 3506, 991, 513, 6864, 582, 282, 10517, 1515, 6539, 320, 638, 582, 282, 547, 4368, 873, 269, 589, 29766, 14173, 585, 717, 15665, 281, 476, 1428, 674, 1460, 525, 585, 7935, 5287, 24110, 267, 476, 273, 27160, 3947, 3610, 543, 16984, 476, 1428, 2081, 547, 1118, 519, 2556, 18203, 563, 347, 17138, 1475, 10573, 288, 29766, 14173, 585, 717, 15665, 2008, 347, 21812, 1475, 10573, 303, 1370, 823, 8065, 910, 476, 1001, 271, 268, 1556, 347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 476, 274, 269, 876, 2608, 476, 1015, 28260, 274, 12387, 540, 295, 27778, 616, 15702, 538, 1216, 547, 1118, 476, 1626, 700, 540, 3070, 269, 1548, 568, 519, 5834, 540, 28355, 12274, 267, 1496, 15121, 28260, 316, 538, 713, 3070, 2496, 19878, 476, 1626, 267, 476, 1001, 278, 692, 7445, 3847, 314, 295, 2715, 302, 8703, 268, 4153, 2431, 316, 815, 476, 276, 269, 3451, 1422, 9392, 2715, 1015, 8703, 268, 348, 476, 1556, 1422, 10383, 544, 522, 561, 1422, 10383, 2715, 299, 8703, 268, 348, 476, 272, 6911, 2971, 19247, 1384, 2171, 917, 602, 20270, 1015, 8703, 268, 348, 476, 1691, 815, 1422, 3847, 314, 295, 2715, 302, 8703, 268, 4153, 2431, 316, 1422, 3847, 314, 346, 295, 13925, 274, 348, 2715, 302, 8703, 266, 4153, 2431, 316, 259, 896, 3044, 2175, 693, 1269, 29218, 1422, 10383, 918, 259, 27401, 1862, 1656, 1058, 649, 1491, 12276, 8421, 13925, 1015, 4151, 540, 645, 30862, 590, 2839, 2464, 267, 649, 4991, 32465, 780, 21851, 8974, 3630, 576, 346, 3189, 8421, 13925, 1015, 348, 1422, 3847, 20719, 1015, 8703, 268, 348, 476, 1691, 9368, 264, 3686, 3709, 268, 348, 476, 1691, 815, 11513, 8421, 13925, 1015, 348, 1422, 3847, 314, 346, 295, 13925, 274, 348, 2715, 302, 8703, 266, 4153, 2431, 316, 1341, 11513, 8421, 13925, 1015, 348, 1422, 3847, 314, 295, 2715, 302, 8703, 268, 4153, 2431, 316, 6911, 4517, 593, 30337, 618, 267, 1269, 1691, 815, 11513, 8974, 3630, 576, 24877, 11513, 8421, 13925, 1015, 348, 1422, 3847, 314, 346, 295, 13925, 274, 348, 2715, 302, 8703, 266, 4153, 2431, 316, 3686, 3709, 335, 670, 348, 11513, 8974, 3630, 576, 24877, 11513, 8421, 13925, 1015, 348, 1422, 3847, 314, 295, 2715, 302, 8703, 268, 4153, 2431, 316, 3686, 3709, 335, 744, 670, 10592, 4517, 865, 938, 10747, 2078, 267, 1269, 335, 670, 1341, 533, 744, 670, 815, 476, 1691, 6911, 3086, 5541, 2807, 780, 7445, 3847, 314, 346, 295, 13925, 274, 348, 2715, 302, 8703, 266, 4153, 2431, 316, 815, 1422, 2765, 346, 274, 269, 876, 1422, 9392, 2715, 1015, 8703, 268, 348, 476, 274, 1422, 10383, 544, 522, 561, 2410, 1626, 1422, 10383, 700, 348, 815, 476, 272, 269, 279, 4037, 1422, 9392, 2715, 1015, 8703, 268, 348, 476, 275, 1422, 10383, 544, 522, 561, 1422, 10383, 2715, 299, 8703, 268, 348, 476, 272, 6911, 259, 335, 670, 815, 910, 11513, 8421, 13925, 1015, 348, 1422, 3847, 263, 272, 269, 279, 4037, 1422, 9392, 2715, 1015, 8703, 268, 348, 476, 275, 9368, 264, 815, 910, 1422, 3847, 8987, 476, 274, 269, 278, 2767, 9368, 264, 815, 476, 274, 269, 278, 2767, 6911, 4517, 3976, 1269, 335, 744, 670, 815, 476, 1015, 269, 2767, 8961, 543, 9982, 32465, 780, 7445, 3847, 314, 295, 2715, 302, 8703, 268, 4153, 2431, 316, 815, 2715, 1015, 8703, 268, 476, 1015, 269, 2767, 348, 815, 476, 276, 269, 3451, 1422, 9392, 2715, 1015, 8703, 268, 348, 476, 1556, 1422, 10383, 544, 522, 561, 1422, 10383, 2715, 299, 8703, 268, 348, 476, 272, 259 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 4855, 519, 2179, 543, 519, 7623, 1719, 593, 12652, 476, 1015, 267, 1822, 585, 5231, 1296, 693, 476, 1015, 260, 829, 3045, 636, 267, 31903, 3368, 21496, 269, 14348, 713, 1719, 581, 811, 982, 519, 1719, 646, 1131, 1205, 952, 621, 729, 31903, 12422, 2496, 1440, 4532, 7625, 815, 476, 1911, 876, 270, 8894, 3433, 540, 1719, 815, 476, 1015, 260, 829, 3045, 636, 454, 5503, 815, 476, 272, 476, 272, 270, 273, 1296, 815, 476, 274, 3368, 21496, 563, 604, 31903, 1109, 327, 2788, 21496, 267, 2179, 815, 1109, 259, 1911, 876, 265, 315, 3847, 263, 272, 10954, 2765, 346, 1015, 2410, 273, 265, 1911, 7346, 2431, 264, 8703, 274, 21456, 259, 284, 1911, 876, 265, 315, 3847, 263, 272, 10954, 2765, 346, 272, 2410, 736, 7346, 2431, 264, 8703, 274, 4153, 28783, 3189, 22364, 346, 271, 1410, 2410, 271, 1410, 3686, 284, 1911, 876, 265, 315, 2765, 13997, 2641, 8703, 274, 12453, 346, 736, 8703, 274, 14990, 28783, 3189, 22364, 346, 271, 1410, 2410, 271, 1410, 3686, 284, 1911, 876, 265, 315, 2765, 346, 280, 2918, 272, 2410, 8517, 271, 4153, 28783, 3189, 22364, 346, 271, 1410, 2410, 271, 1410, 3686, 284, 12893, 10602, 269, 1839, 25773, 14204, 28387, 1719, 815, 476, 12893, 10602, 269, 1839, 910, 476, 1911, 876, 815, 476, 14991, 277, 269, 1839, 270, 8894, 13826, 4083, 282, 952, 2179, 568, 31903, 21496, 563, 26920, 693, 519, 1439, 540, 476, 272, 560, 1109, 20204, 815, 1109, 259, 1911, 876, 265, 315, 3847, 263, 272, 10954, 2765, 346, 1015, 2410, 1911, 7346, 2431, 264, 8703, 272, 13157, 1911, 876, 265, 315, 2765, 346, 1556, 2410, 1015, 13157, 8099, 876, 25773, 14204, 15517, 585, 519, 3368, 1032, 815, 1109, 7445, 2765, 346, 8099, 876, 265, 1015, 265, 272, 2410, 1911, 265, 273, 13157, 20862, 25773, 14204, 28387, 519, 2698, 1719, 950, 31903, 12422, 454, 284, 630, 8099, 876, 268, 1911, 876, 11924, 20862, 454, 284, 1911, 271, 266, 20862, 454, 284, 14028, 271, 270, 8894, 28387, 519, 1719, 568, 811, 950, 31903, 3368, 21496, 563, 327, 2100, 713, 2337, 596, 692, 1892, 476, 278, 692, 263, 15253, 15903, 3368, 910, 21496, 2020, 303, 815, 12652, 269, 1015, 267, 1822, 692, 307, 815, 476, 272, 476, 272, 270, 273, 586, 3464, 269, 815, 476, 274, 270, 273, 815, 476, 274, 270, 273, 1535, 476, 273, 3368, 1296, 815, 476, 274, 3368, 1296, 692, 305, 815, 476, 1015, 260, 533, 18502, 269, 815, 476, 1015, 270, 273, 260, 630, 1721, 3368, 1296, 264, 815, 476, 276, 30515, 288, 815, 476, 1015, 267, 1822, 263, 272, 1341, 476, 276, 270, 1911, 8203, 274, 692, 288, 815, 476, 1015, 267, 1822, 263, 10755, 270, 1911, 8203, 274, 692, 288, 815, 476, 1015, 267, 1822, 1535, 476, 10755, 270, 1911, 1535, 476, 10755, 270, 1911, 1535, 476, 10755, 270, 1911, 692, 288, 815, 476, 10755, 1535, 476, 2641, 1535, 476, 2641, 1315, 476, 275, 692, 288, 815, 476, 5379, 274, 4962, 1315, 476, 275, 692, 288, 815, 12652, 269, 12893, 10602, 269, 1839, 692, 290, 15660, 815, 12652, 269, 12893, 10602, 269, 1839, 910, 12652, 269, 1911, 876, 815, 12652, 269, 14991, 277, 269, 1839, 692, 263, 4002, 7623, 532, 12422, 2020, 303, 815, 12652, 269, 1015, 267, 1822, 692, 305, 815, 476, 1015, 260, 335, 18502, 692, 307, 815, 476, 272, 476, 272, 270, 273, 692, 3086, 267, 2736, 621, 883, 476, 272, 1032, 543, 476, 272, 270, 273, 1032, 692, 2690, 835, 1032, 23241, 288, 815, 476, 1015, 267, 1822, 263, 272, 1341, 476, 1015, 270, 1911, 8203, 272, 692, 288, 815, 476, 1015, 267, 1822, 263, 8099, 270, 1911, 8203, 272, 692, 288, 815, 476, 1015, 267, 1822, 1535, 476, 8099, 270, 1911, 692, 288, 815, 476, 1911, 271, 1535, 476, 1556, 692, 288, 815, 12652, 269, 8099, 876, 692, 2690, 3368, 1032, 2433, 630, 306, 15660, 24355, 1911, 271, 1535, 476, 1015, 1535, 476, 272, 1315, 476, 1911, 1535, 476, 273, 692, 20745, 269, 4335, 692, 13707, 2179, 815, 12652, 476, 1556, 267, 1822, 1341, 12652, 269, 4335, 815, 12652, 269, 12893, 876, 692, 290, 15660, 269, 815, 12652, 269, 12893, 876, 910, 476, 1015, 267, 1822, 815, 476, 5611, 271, 692, 290, 15660, 269, 31903, 3368, 4458, 569, 815, 12652, 269, 14991, 277, 269, 1839, 692, 290, 15660, 269, 31903, 12422, 815, 12652, 269, 5611, 271, 692, 11997, 595, 15660, 269, 31903, 3368, 4458, 569, 568, 811, 676, 12652, 269, 10602, 269, 1839, 692, 1892, 476, 272, 454, 1432, 616, 596, 3168, 585, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 270, 7090, 910, 339, 692, 258, 546, 12028, 692, 5035, 8827, 912, 825, 8173, 825, 7711, 12407, 562, 281, 634, 1297, 540, 30842, 563, 825, 7711, 8873, 281, 634, 2698, 1297, 540, 3982, 3435, 563, 825, 8173, 825, 1219, 2698, 301, 20075, 839, 4311, 267, 562, 2187, 1038, 1948, 2328, 707, 3009, 1934, 454, 1038, 952, 711, 562, 912, 2018, 2132, 476, 271, 454, 27030, 1038, 1582, 27904, 815, 1305, 4590, 1038, 1582, 6155, 858, 815, 1305, 4590, 1038, 1582, 31815, 815, 1305, 4590, 1038, 1582, 269, 4958, 815, 476, 271, 692, 1038, 1582, 269, 4206, 338, 263, 271, 267, 562, 994, 13872, 1038, 2132, 1582, 269, 4958, 28329, 825, 1219, 546, 12028, 4311, 267, 4737, 267, 562, 2187, 1038, 952, 4737, 2652, 562, 912, 2018, 1582, 269, 4958, 6834, 476, 272, 454, 2018, 2132, 28329, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 952, 1775, 711, 538, 1582, 31815, 543, 630, 992, 266, 328, 264, 711, 538, 1582, 27904, 543, 630, 992, 25829, 264, 711, 538, 1582, 6155, 858, 912, 3546, 1582, 31815, 14491, 9217, 994, 3546, 1582, 27904, 14491, 21405, 266, 328, 994, 3546, 1582, 6155, 858, 14491, 21405, 25829, 994, 3546, 1582, 269, 4206, 338, 21405, 266, 272, 267, 562, 994, 3546, 1582, 31815, 31927, 9217, 994, 3546, 1582, 27904, 31927, 21405, 266, 328, 994, 3546, 1582, 6155, 858, 31927, 21405, 25829, 994, 4449, 454, 1038, 2132, 22562, 13872, 13872, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 284, 476, 273, 454, 825, 521, 338, 815, 8827, 4590, 825, 1820, 834, 24987, 568, 4939, 338, 257, 4939, 521, 338, 6745, 4973, 301, 20075, 839, 4433, 2020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14457, 630, 10907, 13681, 520, 264, 11657, 11711, 454, 6826, 2386, 602, 596, 723, 606, 3498, 547, 1930, 713, 3758, 1826, 1354, 23842, 543, 5924, 11449, 563, 7312, 1053, 786, 2972, 891, 2706, 20036, 14914, 873, 539, 1297, 2259, 3817, 269, 901, 2534, 786, 1450, 707, 1053, 547, 2259, 2338, 1210, 536, 22857, 546, 879, 1499, 610, 22916, 976, 563, 10743, 786, 1711, 2338, 476, 272, 268, 736, 676, 546, 629, 6883, 519, 1297, 610, 7801, 519, 10580, 538, 563, 8245, 2952, 1820, 267, 1039, 546, 879, 1499, 543, 1577, 873, 546, 629, 513, 12297, 256, 2052, 581, 946, 1282, 1507, 2516, 610, 2898, 1895, 269, 1703, 568, 606, 1858, 585, 873, 547, 2259, 16439, 519, 1297, 607, 1134, 607, 7801, 538, 513, 4605, 602, 14687, 609, 519, 1297, 2336, 296, 4126, 602, 707, 3214, 786, 2972, 713, 2534, 267, 952, 596, 723, 1022, 2042, 610, 1131, 899, 547, 1294, 3606, 13362, 9388, 5225, 1810, 1405, 19292, 547, 4757, 803, 693, 18078, 17106, 11333, 3820, 543, 594, 786, 1205, 1394, 609, 596, 3533, 563, 14188, 596, 585, 3168, 693, 1250, 4558, 267, 5225, 2015, 4742, 513, 1246, 518, 547, 581, 711, 1881, 540, 1007, 3688, 269, 7490, 2638, 856, 1250, 824, 1948, 323, 3326, 31938, 1023 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 2811, 4058, 513, 7552, 547, 5125, 609, 707, 1920, 286, 2334, 781, 865, 3579, 256, 5620, 596, 2219, 827, 9683, 31297, 781, 1234, 4177, 321, 23167, 3781, 5158, 8664, 2496, 7692, 281, 670, 7825, 267, 594, 6415, 711, 2386, 267, 7705, 269, 1772, 621, 5078, 585, 3214, 286, 594, 1810, 1405, 1616, 873, 6534, 547, 4376, 20025, 780, 8334, 281, 6153, 2243, 256, 2755, 1234, 4177, 321, 23167, 568, 1634, 585, 922, 7524, 3781, 5158, 267, 1282, 519, 1554, 621, 781, 7168, 512, 877, 269, 1703, 616, 15945, 267, 22538, 525, 267, 543, 2661, 2575, 28503, 602, 616, 1920, 7888, 269, 1809, 3314, 267, 621, 781, 2141, 1271, 547, 1832, 606, 3750, 593, 707, 3214, 543, 2911, 547, 873, 827, 1018, 789, 1522, 1294, 610, 5873, 780, 7692, 281, 2334, 2306, 2631, 269, 1548, 2186, 540, 1919, 666, 649, 798, 972, 1927, 607, 513, 1920, 2496, 8334, 281, 4270, 267, 972, 781, 519, 19468, 956, 268, 5522, 28739, 267, 513, 4009, 6131, 547, 519, 4583, 6512, 945, 3323, 741, 11678, 4730, 538, 1234, 4177, 321, 23167, 15731, 269, 898, 781, 513, 1187, 5544, 585, 2575, 18798, 256, 1411, 1223, 849, 3643, 519, 14956, 699, 339, 1084, 27346, 16222, 610, 1491, 513, 3802, 2059, 519, 8092, 31258, 1962, 6686, 1188, 523, 267, 1141, 596, 666, 2972, 5784, 540, 519, 22426, 780, 7692, 281, 7937, 267, 594, 899, 519, 3280, 540, 602, 256, 1656, 1018, 827, 3106, 286, 9701, 649, 581, 7255, 2496, 8334, 281, 6145, 1022, 11112, 2749, 1858, 267, 596, 991, 547, 3251, 3222, 540, 707, 10450, 543, 1832, 707, 28378, 2673, 269, 17546, 707, 3214, 547, 798, 519, 1482, 269, 4746, 267, 6529, 547, 1134, 2000, 527, 10754, 543, 2442, 2127, 267, 2523, 950, 9683, 1310, 4158, 780, 7692, 281, 8729, 585, 519, 4388, 267, 7705, 256, 1284, 3513, 9090, 2015, 4946, 1234, 4177, 321, 23167, 547, 938, 621, 10719, 776, 1631, 269, 9320, 649, 666, 723, 12129, 693, 513, 2199, 13962, 543, 6432, 547, 930, 2661, 2575, 1932, 2439, 8334, 281, 25999, 267, 7585, 256, 3807, 1118, 2386, 3025, 17358, 519, 2956, 540, 1373, 16614, 14538, 543, 1739, 519, 3652, 267, 899, 5329, 6846, 2157, 1524, 543, 711, 29595, 1055, 4805, 269, 2060, 1346, 15416, 538, 2247, 267, 596, 2811, 3808, 547, 723, 513, 1390, 942, 3695, 713, 2189, 851, 540, 31297, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2026, 2484, 607, 4872, 609, 12050, 14789, 267, 621, 779, 2182, 547, 979, 2250, 24545, 607, 2342, 779, 1034, 6678, 337, 16226, 10278, 563, 4415, 971, 513, 2189, 10923, 11768, 2443, 835, 23574, 609, 13123, 267, 23668, 267, 2777, 2692, 1846, 267, 543, 811, 2443, 543, 606, 11212, 3078, 2528, 10023, 3388, 689, 1158, 11665, 1148, 547, 513, 19492, 20439, 4414, 8752, 10588, 630, 2254, 547, 2446, 519, 3656, 521, 1156, 534, 580, 753, 1070, 972, 779, 1100, 17732, 540, 1919, 547, 798, 538, 24545, 563, 4517, 609, 513, 8748, 3575, 540, 2686, 10305, 543, 15949, 517, 2065, 9035, 267, 621, 779, 606, 8449, 1362, 344, 543, 18512, 10278, 585, 8436, 540, 782, 2010, 269, 1879, 596, 2461, 711, 11423, 707, 2634, 609, 1702, 693, 519, 1585, 15882, 543, 1148, 26847, 267, 596, 666, 6001, 538, 4190, 1857, 11614, 267, 610, 3732, 930, 8949, 13000, 563, 7775, 952, 596, 1616, 547, 1205, 513, 2370, 4737, 323, 1512, 267, 5734, 909, 519, 7678, 344, 13063, 267, 610, 4685, 883, 930, 2189, 7317, 15225, 269, 1656, 596, 666, 1256, 9148, 519, 1995, 609, 11564, 547, 7404, 10034, 267, 782, 15386, 1114, 5011, 540, 519, 10656, 1995, 563, 310, 1779, 543, 11332, 267, 1694, 543, 521, 760, 267, 1451, 513, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 27304, 1234, 4177, 321, 23167, 13957, 5158, 10588, 257, 607, 851, 540, 834, 307, 30728, 1315, 2342, 1315, 5125, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 256, 23591, 24800, 270, 7090, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 12163, 13644, 375, 9463, 500, 5425, 309, 12255, 29004, 362, 454, 309, 619, 542, 281, 476, 271, 269, 272, 454, 12041, 281, 2206, 743, 454, 14630, 281, 476, 1001, 280, 268, 4905, 268, 1789, 454, 20701, 5814, 26417, 692, 16344, 17575, 815, 1412, 9987, 27406, 28847, 339, 787, 912, 825, 609, 1930, 6600, 32327, 264, 607, 535, 912, 1038, 5467, 815, 26417, 18667, 518, 6600, 994, 1038, 1239, 815, 1592, 263, 1348, 518, 994, 21955, 11711, 8253, 28062, 13286, 912, 825, 1820, 2891, 20721, 510, 25622, 19867, 497, 19764, 478, 24757, 10524, 370, 2580, 32197, 994, 12828, 912, 825, 585, 6221, 538, 1239, 912, 1038, 1948, 834, 260, 268, 1789, 338, 13127, 371, 355, 28098, 421, 377, 494, 476, 31006, 14035, 504, 13107, 378, 419, 353, 374, 1789, 14748, 21211, 31033, 454, 1038, 1820, 2891, 260, 268, 1789, 338, 260, 268, 736, 338, 260, 268, 1015, 338, 257, 4939, 630, 14403, 314, 271, 3910, 6221, 314, 272, 3910, 6221, 314, 273, 28413 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 713, 3381, 594, 786, 3382, 1614, 2010, 540, 14103, 8638, 630, 592, 267, 15073, 267, 543, 546, 331, 264, 543, 741, 10305, 269, 26461, 487, 4427, 18285, 3767, 547, 1205, 938, 5767, 7044, 269, 26461, 491, 6145, 519, 3381, 543, 695, 2483, 1103, 713, 3381, 594, 786, 3382, 1614, 2010, 540, 14103, 8638, 630, 592, 267, 15073, 267, 543, 546, 331, 264, 543, 741, 10305, 563, 6930, 495, 487, 4427, 18285, 3767, 547, 1205, 938, 5767, 7044, 269, 26461, 491, 6145, 519, 3381, 543, 2671, 621, 2073, 952, 596, 1265, 621, 5363, 269, 26461, 485, 1403, 596, 723, 1022, 2243, 267, 1745, 1863, 547, 4734, 621, 538, 519, 8292, 543, 594, 786, 454, 12487, 7876, 12143, 6435, 5245, 7711, 1789, 260, 5508, 293, 689, 12726, 12143, 267, 609, 3776, 7454, 14103, 7084, 948, 4966, 269, 5192, 14103, 6780, 948, 2228, 693, 10097, 3902, 269, 476, 1911, 260, 1773, 698, 1863, 7084, 3070, 563, 12487, 7876, 16776, 616, 17161, 1031, 538, 14103, 547, 4159, 1357, 1790, 1137, 609, 1978, 3601, 269, 1358, 616, 2417, 1031, 585, 10747, 14103, 2609, 269, 1323, 14103, 3693, 5161, 540, 513, 4358, 11090, 563, 1607, 2376, 2488, 606, 4367, 547, 18908, 1782, 3029, 609, 22898, 267, 1519, 782, 519, 9238, 596, 1522, 991, 547, 917, 585, 2596, 18908, 1782, 4247, 563, 1692, 547, 19022, 8301, 6119, 543, 1585, 10305, 538, 670, 15621, 276, 286, 11554, 609, 8301, 6119, 2443, 670, 15621, 276, 454, 1607, 6476, 593, 14103, 5288, 14103, 276, 568, 5497, 547, 1683, 513, 26546, 1702, 827, 1312, 519, 1665, 1575, 4654, 543, 3391, 596, 547, 1265, 519, 5078, 835, 952, 596, 616, 2679, 707, 1378, 1357, 2985, 610, 1357, 3498, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 29587, 8376, 20103, 476, 1428, 267, 476, 1708, 271, 476, 1708, 272, 268, 4962, 268, 5400, 476, 1321, 281, 2641, 454, 29619, 540, 2295, 2068, 454, 29587, 2068, 568, 1022, 2783, 602, 5540, 707, 2295, 971, 607, 454, 17357, 517, 334, 776, 1488, 6670, 8376, 454, 17812, 523, 1388, 9839, 4347, 31637, 454, 268, 20840, 776, 16050, 2068, 602, 5540, 519, 16209, 269, 898, 568, 519, 1034, 1455, 1826, 540, 2295, 2068, 563, 268, 4406, 341, 983, 9839, 8376, 602, 5540, 519, 1599, 540, 519, 17901, 799, 21560, 1973, 2095, 538, 543, 856, 540, 519, 2295, 454, 268, 27336, 15219, 8926, 602, 5540, 519, 5122, 26634, 454, 268, 9315, 328, 3912, 14527, 602, 5540, 875, 519, 2295, 6091, 25837, 454, 268, 5556, 523, 1388, 2295, 12889, 602, 1020, 1354, 4332, 454, 6701, 596, 693, 1981, 585, 9839, 8376, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 21964, 9226, 274, 454, 5814, 19523, 692, 3698, 1205, 318, 9953, 2711, 19056, 263, 5115, 13369, 267, 12035, 267, 2418, 2187, 825, 1871, 815, 476, 271, 563, 825, 2597, 284, 271, 454, 825, 1948, 2745, 263, 11161, 267, 30135, 994, 825, 1948, 338, 9285, 4910, 815, 15044, 18750, 760, 263, 11161, 267, 30135, 1070, 1883, 284, 14433, 512, 1575, 281, 339, 1575, 314, 271, 316, 270, 339, 1575, 314, 272, 3910, 9258, 18989, 994, 825, 2418, 267, 30135, 815, 630, 4289, 6025, 264, 585, 512, 538, 23407, 28949, 338, 9285, 18750, 760, 263, 11161, 267, 30135, 1070, 1883, 284, 14433, 512, 1575, 281, 339, 1575, 314, 271, 316, 270, 339, 1575, 314, 272, 3910, 9258, 18989, 21875, 825, 1948, 2745, 263, 11161, 267, 30135, 994, 825, 1948, 1721, 1775, 538, 2039, 12759, 263, 30135, 15892, 825, 1948, 825, 1820, 263, 11161, 5157, 3910, 30135, 5157, 7481, 825, 1775, 284, 271, 454, 825, 585, 1775, 538, 2039, 12759, 263, 30135, 15892, 1038, 952, 4390, 2652, 476, 271, 912, 2018, 2132, 1871, 454, 1038, 513, 284, 2381, 263, 30135, 5157, 3910, 5115, 13369, 994, 1038, 1871, 6834, 630, 320, 16732, 11161, 5157, 316, 270, 30135, 5157, 28413, 1038, 12035, 5157, 24557, 30135, 5157, 316, 268, 320, 454, 1038, 4390, 284, 5115, 13369, 8584, 454, 825, 2132, 1871, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1239, 815, 1592, 9852, 777, 17301, 267, 19523, 14714, 19734, 18667, 14061, 20889, 3890, 4917, 825, 1948, 338, 903, 14714, 323, 719, 22182, 16597, 994, 825, 562, 267, 4390, 815, 1239, 314, 271, 281, 273, 2639, 825, 2418, 815, 1239, 314, 273, 281, 263, 273, 2608, 562, 1341, 476, 273, 2567, 273, 2639, 825, 12035, 815, 1239, 314, 274, 281, 263, 273, 2608, 562, 1341, 476, 273, 2567, 273, 2639, 825, 1948, 2745, 16597, 267, 562, 267, 5115, 13369, 267, 11161, 267, 30135, 994, 825, 1904, 19056, 815, 1205, 318, 9953, 2711, 19056, 263, 5115, 13369, 267, 12035, 267, 2418, 994, 825, 1820, 2891, 346, 15545, 1015, 325, 348, 2668, 8971, 263, 9953, 19056, 4917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 898, 729, 513, 6505, 543, 13566, 1554, 693, 519, 6129, 3333, 710, 16504, 3427, 269, 14667, 267, 519, 5100, 652, 2875, 538, 1200, 1362, 267, 6068, 1565, 1007, 1919, 1169, 1554, 269, 2701, 729, 3226, 9599, 2221, 1317, 1352, 1185, 4362, 1945, 5863, 2439, 2026, 14667, 15336, 883, 1200, 4928, 267, 1352, 4718, 782, 1200, 2828, 4730, 1927, 269, 2701, 7948, 1405, 7227, 547, 2995, 873, 827, 1018, 1352, 1185, 1336, 856, 269, 2060, 513, 2462, 12837, 593, 1200, 3068, 267, 1352, 1767, 267, 834, 20756, 16921, 267, 7058, 1018, 286, 1684, 596, 917, 1946, 519, 6607, 5654, 4544, 12482, 15463, 3659, 16092, 14452, 267, 834, 8133, 267, 14667, 267, 649, 4121, 538, 2257, 1362, 2063, 3018, 602, 519, 6675, 538, 519, 3047, 781, 5790, 14649, 7943, 538, 1114, 8846, 543, 20966, 269, 9791, 1769, 814, 10156, 6329, 543, 4991, 16559, 811, 3362, 982, 824, 4778, 3010, 10387, 1176, 6743, 14281, 543, 1287, 20493, 1256, 17321, 269, 834, 2750, 18075, 10590, 1352, 608, 13094, 269, 834, 4517, 798, 596, 917, 1018, 4523, 950, 891, 4544, 6329, 3914, 721, 286, 1358, 6445, 721, 909, 609, 7772, 543, 8788, 267, 799, 3744, 1289, 1412, 329, 889, 7976, 256, 262, 5016, 5472, 519, 3214, 3323, 28617, 543, 804, 6260, 741, 3946, 269, 1358, 941, 865, 6126, 547, 1451, 1945, 1007, 543, 3078, 269, 3807, 1287, 267, 6004, 269, 9652, 267, 741, 4116, 267, 9411, 519, 4055, 269, 1261, 4280, 14667, 547, 2097, 909, 4395, 543, 1459, 1200, 6602, 547, 519, 2898, 1362, 780, 4415, 6015, 543, 10761, 267, 14667, 3838, 1200, 4681, 269, 1809, 10393, 267, 513, 10978, 19711, 743, 777, 32131, 3544, 267, 4553, 676, 26311, 4764, 269, 15526, 3154, 6244, 543, 10443, 547, 1413, 856, 519, 6885, 269, 1677, 741, 9983, 267, 789, 8068, 602, 519, 22774, 7902, 1318, 1310, 519, 7088, 780, 16031, 269, 9652, 6045, 267, 834, 14399, 267, 3006, 6397, 23538, 4755, 538, 2470, 1932, 269, 4634, 1498, 621, 986, 1441, 267, 1631, 1294, 875, 4190, 519, 1158, 666, 1869, 581, 286, 2334, 781, 1572, 6043, 910, 15268, 543, 14762, 5103, 2591, 3010, 13295, 267, 14667, 543, 1200, 2828, 7691, 602, 1100, 2339, 1018, 5949, 267, 2436, 1434, 610, 3983, 267, 789, 1131, 2141, 1265, 4128, 547, 1745, 795, 889, 7976, 543, 5660, 519, 5898, 1472, 873, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 8620, 513, 4845, 1210, 519, 2016, 2262, 543, 1118, 621, 3617, 585, 513, 3318, 4757, 563, 329, 889, 7976, 454, 296, 993, 4904, 609, 795, 889, 7976, 607, 594, 2671, 519, 3377, 540, 938, 2319, 781, 3811, 12032, 540, 519, 1788, 593, 942, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 634, 1554, 729, 899, 1022, 824, 1554, 538, 1010, 1272, 267, 8751, 15336, 2250, 519, 6300, 593, 519, 8265, 7944, 269, 1261, 11074, 547, 1413, 693, 519, 4395, 4737, 540, 10887, 267, 543, 646, 5433, 6126, 547, 1294, 602, 519, 6292, 540, 10887, 646, 4941, 1360, 1454, 729, 1869, 972, 269, 18391, 1524, 267, 646, 5433, 20994, 585, 5128, 269, 1261, 2731, 4941, 547, 723, 873, 585, 1010, 14512, 269, 1261, 8909, 569, 15336, 2476, 543, 2219, 875, 547, 2995, 1010, 3993, 827, 621, 269, 1261, 6785, 1352, 1131, 2285, 1864, 4376, 646, 17329, 952, 1352, 1223, 269, 1809, 646, 849, 6785, 1360, 1134, 1352, 1185, 2370, 2724, 269, 1261, 4956, 711, 547, 979, 1753, 693, 2899, 267, 607, 646, 6743, 14126, 543, 1010, 3993, 1131, 5469, 476, 621, 269, 1924, 646, 4682, 547, 519, 6288, 543, 2893, 593, 519, 6371, 269, 3973, 646, 4718, 513, 7911, 538, 513, 8868, 11381, 567, 1547, 1261, 8068, 602, 519, 7911, 6410, 519, 8868, 609, 1010, 3946, 269, 8751, 6743, 693, 1864, 5402, 543, 729, 14281, 547, 1294, 519, 7911, 723, 1100, 3952, 269, 1261, 6743, 693, 1010, 1378, 3952, 269, 834, 2005, 781, 1454, 1732, 547, 581, 1510, 10887, 982, 1510, 3952, 267, 834, 515, 2219, 269, 1703, 729, 1100, 2601, 567, 585, 1864, 547, 1745, 865, 20994, 543, 8909, 269, 1261, 4682, 2476, 543, 20493, 267, 3206, 646, 729, 18668, 4208, 1705, 8751, 3247, 538, 4395, 540, 519, 6300, 286, 5221, 646, 4941, 476, 9041, 476, 4586, 271, 269, 547, 4444, 519, 10887, 454, 272, 269, 547, 1413, 693, 519, 10887, 646, 17329, 454, 273, 269, 547, 1413, 693, 519, 10887, 538, 519, 6300, 6885, 454, 274, 269, 547, 1413, 693, 519, 10887, 593, 519, 4395, 4737, 454, 12585, 281, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 1390, 1259, 547, 2569, 707, 3327, 5434, 568, 547, 3251, 1753, 267, 610, 2673, 547, 1753, 269, 4014, 2011, 2951, 1152, 6589, 585, 827, 476, 276, 260, 540, 2518, 5434, 267, 621, 568, 606, 2179, 602, 568, 2810, 3533, 607, 1004, 8038, 547, 2484, 1166, 2426, 4025, 3168, 585, 22928, 6371, 563, 2304, 2376, 538, 519, 12924, 8648, 8711, 519, 1764, 10760, 814, 593, 938, 3327, 11640, 538, 606, 2376, 11331, 834, 7312, 8262, 7465, 12539, 16429, 2904, 2142, 5794, 13488, 8487, 257, 2690, 1082, 1004, 2542, 713, 267, 2011, 2951, 568, 741, 1034, 3978, 2825, 5609, 269, 2290, 5180, 2389, 8692, 8184, 689, 1715, 3840, 547, 2342, 610, 547, 5842, 12770, 5932, 513, 8337, 1198, 6697, 547, 476, 273, 610, 476, 274, 9748, 540, 3327, 8166, 829, 1268, 269, 634, 3328, 1977, 12958, 827, 476, 866, 9748, 540, 3327, 8166, 513, 1032, 282, 519, 3328, 3864, 267, 476, 1015, 563, 3383, 952, 596, 1491, 2947, 1279, 19426, 513, 1032, 267, 789, 949, 1134, 2272, 585, 1614, 6709, 11467, 540, 519, 5434, 596, 1711, 4799, 2171, 723, 930, 2352, 5079, 547, 1118, 3001, 4464, 543, 1082, 1699, 19326, 786, 991, 547, 1689, 269, 1280, 835, 1285, 328, 1807, 621, 782, 3357, 1524, 547, 7446, 1063, 10340, 781, 2029, 543, 2470, 563, 28846, 14811, 828, 724, 267, 26906, 16172, 1354, 1010, 2669, 538, 476, 3192, 275, 1500, 1010, 3903, 1360, 2312, 563, 257, 299, 3539, 896, 606, 1035, 29716, 3529, 609, 519, 3280, 540, 519, 21554, 1472, 803, 267, 594, 7691, 811, 5693, 519, 5013, 602, 649, 1058, 2760, 26777, 281, 602, 519, 4070, 540, 606, 20987, 267, 585, 3236, 267, 568, 2241, 950, 3379, 1496, 5976, 316, 513, 6177, 282, 602, 27858, 4096, 593, 606, 4359, 10340, 267, 543, 602, 1141, 10340, 568, 1034, 4359, 267, 1906, 5017, 2291, 563, 296, 7691, 602, 1403, 594, 1185, 547, 3442, 267, 594, 1131, 2864, 723, 5017, 982, 27858, 1701 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 27516, 11123, 4888, 312, 590, 18510, 297, 17614, 2336, 305, 17128, 568, 856, 540, 476, 1220, 2798, 543, 2337, 596, 267, 607, 519, 4116, 267, 3446, 16968, 3785, 2706, 3533, 267, 3362, 267, 543, 8308, 269, 898, 568, 9157, 547, 3446, 14245, 543, 3785, 1510, 513, 19875, 269, 901, 835, 786, 960, 609, 1022, 1641, 610, 1641, 2339, 2336, 263, 12606, 12744, 3758, 547, 1294, 811, 267, 610, 1175, 1224, 2630, 994, 15008, 540, 1788, 912, 15919, 596, 2097, 2066, 6810, 540, 519, 1837, 267, 610, 824, 15923, 1257, 267, 602, 3180, 1271, 1344, 855, 596, 1810, 1406, 1616, 547, 1175, 1694, 543, 1224, 689, 519, 1433, 609, 707, 1362, 269, 594, 723, 1336, 602, 713, 16968, 1788, 1568, 2731, 1390, 585, 3871, 899, 713, 2336, 7476, 707, 1053, 883, 2516, 269, 594, 723, 1336, 602, 476, 274, 610, 476, 275, 547, 513, 1895, 1568, 2731, 1134, 269, 21894, 1895, 960, 3652, 596, 946, 538, 707, 4928, 786, 960, 1175, 5386, 538, 713, 1788, 563, 10112, 793, 782, 2516, 609, 519, 1482, 1837, 3296, 20620, 1607, 786, 2154, 1142, 2875, 547, 1224, 602, 1271, 1344, 267, 865, 596, 917, 789, 2461, 782, 1565, 1018, 789, 991, 547, 1451, 269, 4746, 267, 596, 666, 5635, 519, 1114, 1895, 19297, 607, 513, 1362, 281, 945, 15504, 1018, 1344, 286, 9894, 3025, 7485, 856, 519, 1271, 5013, 286, 9894, 4896, 1265, 1945, 1271, 602, 824, 2516, 14406, 286, 4208, 286, 901, 782, 5012, 547, 1390, 5717, 563, 306, 5902, 909, 519, 2542, 543, 3651, 1142, 1895, 513, 1114, 3296, 20620, 1607, 2636, 707, 1362, 547, 968, 15965, 728, 543, 20630, 892, 519, 2542, 269, 4495, 2516, 1459, 267, 1287, 519, 1362, 630, 604, 789, 6432, 1134, 264, 814, 1631, 4862, 3388, 789, 616, 9277, 547, 5873, 269, 594, 946, 713, 1505, 2663, 538, 519, 1032, 950, 594, 666, 581, 2386, 1250, 1362, 17358, 875, 891, 14245, 991, 547, 2196, 543, 875, 1271, 621, 568, 547, 6432, 607, 606, 5304, 4759, 269, 17692, 596, 1745, 602, 519, 1895, 9306, 1705, 711, 3382, 519, 1344, 1134, 267, 1287, 596, 786, 991, 547, 1224, 998, 602, 3296, 609, 707, 1362, 547, 581, 2386, 789, 616, 11543, 519, 1702, 789, 991, 689, 602, 2542, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 27807, 817, 904, 723, 1044, 2919, 799, 666, 1683, 26129, 540, 519, 9422, 4567, 540, 4054, 269, 1358, 2268, 519, 13441, 540, 715, 267, 623, 610, 681, 321, 585, 918, 883, 5072, 689, 3044, 3435, 1141, 519, 2557, 540, 27614, 568, 11201, 569, 1644, 547, 8770, 3761, 269, 634, 6915, 817, 904, 723, 1044, 4294, 538, 519, 1353, 540, 8770, 19518, 538, 661, 32023, 6264, 529, 538, 1312, 1494, 543, 2361, 8062, 267, 543, 4951, 3152, 8417, 982, 1165, 3511, 2079, 538, 16326, 8770, 19518, 543, 4205, 1063, 2609, 799, 949, 3310, 2208, 543, 3574, 2504, 269, 634, 1259, 538, 799, 891, 6915, 817, 904, 1223, 581, 1031, 607, 513, 2359, 1907, 568, 5941, 563, 5472, 3163, 4750, 19032, 630, 3008, 297, 290, 264, 9479, 454, 268, 7233, 3163, 454, 268, 661, 32023, 6264, 529, 454, 268, 23205, 3511, 2079, 454, 268, 17848, 6915, 817, 904 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3698, 4009, 23544, 5416, 267, 536, 2187, 825, 15981, 18777, 350, 28997, 501, 4970, 353, 14748, 9463, 480, 12255, 7511, 23946, 367, 25913, 25520, 18411, 825, 524, 815, 513, 1262, 273, 1341, 536, 1262, 273, 454, 825, 2132, 524, 692, 15276, 4433, 13645, 23544, 2020, 2745, 4433, 13645, 23544, 263, 275, 267, 476, 276, 264, 9239, 3698, 2040, 15305, 5416, 267, 536, 267, 524, 2187, 825, 1820, 5416, 267, 536, 267, 524, 2020, 258, 8999, 15305, 263, 272, 267, 524, 815, 476, 273, 267, 536, 815, 476, 274, 2020, 8999, 15305, 5416, 815, 476, 272, 267, 476, 274, 267, 524, 284, 273, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 2659, 3158, 6645, 596, 547, 2322, 593, 707, 11058, 543, 17309, 269, 1809, 607, 519, 4411, 5162, 4005, 4991, 6251, 267, 621, 781, 865, 4411, 602, 1256, 3158, 781, 5796, 1281, 711, 960, 269, 2334, 1797, 621, 781, 942, 547, 2322, 593, 707, 7117, 328, 4157, 340, 256, 901, 568, 513, 2186, 540, 834, 31516, 896, 18875, 834, 610, 1279, 24598, 1218, 602, 1832, 1004, 3636, 538, 519, 4411, 652, 3275, 540, 519, 1032, 269, 769, 5375, 2477, 267, 7117, 328, 4157, 340, 568, 2356, 1634, 607, 1279, 795, 25296, 267, 855, 789, 5749, 1405, 2442, 269, 7043, 795, 25296, 538, 519, 2475, 616, 2356, 1079, 4773, 267, 513, 1279, 1606, 23932, 1386, 476, 25099, 543, 1279, 27890, 267, 12816, 896, 824, 7802, 610, 3006, 1256, 1031, 607, 533, 1690, 24252, 1547, 7043, 795, 25296, 1101, 7902, 538, 4789, 1282, 519, 476, 1704, 628, 1417, 1722, 269, 1284, 1289, 873, 1279, 795, 25296, 1317, 519, 2475, 4216, 518, 3627, 700, 269, 590, 29229, 20595, 873, 1247, 646, 4216, 539, 269, 1809, 713, 568, 711, 513, 3140, 1249, 269, 769, 519, 2475, 267, 621, 4991, 3833, 4411, 543, 6777, 344, 538, 1082, 4025, 269, 1656, 1247, 3237, 1419, 7903, 3214, 547, 5957, 811, 9660, 543, 1279, 896, 18875, 267, 9041, 476, 3487, 540, 519, 2601, 1522, 581, 1317, 621, 781, 711, 1360, 6752, 762, 476, 543, 1776, 2601, 1522, 581, 1317, 1004, 1810, 1405, 6108, 1454, 942, 3544, 1282, 519, 4411, 3275, 269, 1924, 789, 1175, 4308, 609, 519, 16171, 476, 5210, 950, 789, 723, 547, 4734, 519, 3636, 2679, 269, 1809, 538, 741, 3237, 262, 4064, 267, 9363, 3636, 568, 811, 1271, 982, 3168, 8799, 269, 4658, 5957, 7117, 328, 4157, 340, 547, 581, 567, 9041, 476, 4586, 271, 269, 6752, 762, 454, 272, 269, 2442, 454, 273, 269, 7874, 454, 274, 269, 24953, 454, 12585, 281, 476, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 671, 523, 19007, 7472, 1507, 10051, 14233, 15918, 11367, 267, 1688, 3575, 619, 267, 543, 3167, 1236, 4068, 1206, 268, 8974, 519, 6216, 2012, 3689, 19087, 269, 25548, 523, 8942, 547, 3077, 9241, 342, 2644, 543, 1101, 6066, 1753, 18046, 609, 713, 6216, 563, 1103, 6236, 602, 1034, 1762, 10820, 723, 3908, 2883, 2200, 267, 25548, 523, 814, 13986, 547, 4497, 538, 3077, 28428, 269, 1422, 257, 1103, 3257, 713, 12101, 257, 631, 2830, 25548, 523, 7150, 267, 1422, 257, 933, 723, 1732, 1852, 936, 5329, 3902, 1318, 538, 1899, 609, 5561, 26142, 4840, 288, 671, 523, 3302, 999, 513, 1614, 18286, 1025, 2658, 267, 922, 1283, 22673, 267, 543, 513, 2947, 18286, 1025, 2658, 269, 634, 1688, 3575, 619, 616, 14475, 538, 1079, 6163, 8584, 1507, 1688, 18988, 3575, 518, 609, 1079, 15914, 10726, 619, 543, 513, 2147, 2511, 602, 2501, 609, 606, 18593, 1796, 543, 7923, 11544, 12826, 269, 25548, 523, 32075, 338, 2837, 22306, 1236, 4068, 1206, 616, 14475, 538, 835, 2511, 609, 1614, 2681, 3681, 563, 315, 257, 5978, 1587, 17008, 616, 7522, 518, 12101, 257, 631, 2830, 25548, 523, 3773, 267, 1422, 257, 8117, 938, 1899, 4600, 917, 1142, 1587, 899, 519, 1394, 540, 741, 3946, 269, 901, 2636, 721, 547, 3132, 9120, 2472, 1247, 8066, 938, 5777, 1970, 26142, 4840, 2252, 25548, 523, 12651, 519, 3902, 593, 519, 1688, 18988, 3575, 518, 676, 476, 273, 2600, 543, 7274, 18796, 8813, 676, 476, 1015, 2600, 267, 1018, 568, 519, 3902, 22786, 540, 3747, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1692, 798, 594, 2697, 1250, 2112, 4565, 619, 888, 23087, 540, 1919, 547, 5469, 950, 7114, 513, 2112, 321, 2401, 454, 268, 1323, 3750, 8258, 267, 922, 2681, 267, 543, 2436, 621, 568, 2347, 610, 7745, 563, 268, 22367, 6647, 1472, 519, 3750, 282, 2901, 998, 267, 1657, 267, 610, 2630, 519, 3750, 563, 268, 4793, 2583, 540, 2681, 593, 519, 1750, 4060, 610, 678, 2794, 543, 741, 2681, 563, 268, 22367, 6647, 610, 1792, 1136, 593, 519, 11563, 610, 6089, 563, 268, 30733, 13063, 543, 741, 2681, 563, 1432, 1826, 540, 2112, 4565, 619, 616, 972, 888, 268, 13985, 1738, 2112, 321, 2401, 269, 589, 2834, 855, 17077, 15489, 27540, 547, 1978, 2127, 538, 6628, 267, 9683, 593, 922, 1259, 1063, 9960, 12406, 538, 9456, 2342, 1299, 922, 5162, 1753, 538, 4639, 4000, 563, 268, 595, 31899, 779, 2112, 321, 2401, 563, 268, 667, 691, 5112, 2112, 321, 2401, 563, 268, 12567, 2112, 321, 2401, 563, 268, 23420, 7749, 704, 2112, 321, 2401, 563, 268, 10815, 518, 17642, 996, 9130, 563, 1692, 1082, 1114, 2249, 540, 2112, 4565, 619, 616, 972, 888, 2467, 616, 936, 476, 2004, 2249, 540, 2112, 4565, 619, 538, 519, 2136, 2276, 543, 4516, 267, 855, 1034, 2112, 4565, 619, 1810, 1406, 3643, 1394, 29288, 267, 1317, 789, 5749, 1406, 28680, 5017, 543, 3335, 6529, 547, 4104, 539, 2127, 563, 1432, 1281, 513, 654, 1066, 1413, 899, 888, 22102, 267, 562, 1180, 525, 5296, 6960, 6177, 609, 513, 2110, 2766, 267, 6094, 3915, 267, 543, 4158, 536, 18732, 593, 12209, 543, 2766, 609, 513, 5493, 518, 11563, 563, 1692, 1082, 8677, 540, 2112, 4565, 619, 616, 972, 888, 2467, 616, 936, 476, 2004, 2249, 540, 2112, 4565, 619, 538, 519, 2136, 2276, 543, 4516, 267, 855, 1034, 2112, 4565, 619, 1810, 1406, 3643, 1394, 29288, 267, 1317, 789, 5749, 1406, 28680, 5017, 543, 3335, 6529, 547, 4104, 539, 2127, 269, 1284, 17031, 909, 476, 736, 2010, 540, 2112, 4565, 619, 596, 1522, 1294, 713, 5614, 563, 1432, 568, 519, 3017, 1063, 513, 2112, 321, 2401, 543, 513, 1710, 577, 888, 19226, 2583, 723, 513, 6626, 267, 598, 673, 581, 752, 602, 568, 9985, 14018, 585, 25305, 1930, 519, 562, 344, 329, 518, 543, 30011, 5452, 602, 616, 741, 5172, 3536, 269, 2782, 321, 2401, 581, 6545, 616, 6094, 543, 1448, 344, 267, 1390, 585, 2625, 532, 538, 1212, 341, 1182, 547, 7485, 856, 17705, 5521, 13000, 563, 1692, 798, 596, 2995, 513, 642, 790, 334, 689, 513, 2112, 321, 2401, 888, 1607, 6177, 814, 606, 14462, 25984, 1394, 267, 2766, 267, 543, 12209, 543, 513, 12779, 6089, 267, 17987, 267, 543, 9333, 841, 12544, 6093, 29984, 585, 642, 790, 657, 269, 1809, 899, 824, 2112, 4565, 619, 267, 570, 15086, 572, 525, 723, 513, 6094, 267, 1448, 344, 3915, 267, 1247, 642, 790, 657, 723, 513, 5394, 3915, 609, 513, 1507, 13622, 693, 519, 1439, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 9717, 1079, 15044, 8870, 14249, 15358, 272, 543, 15358, 273, 267, 19467, 15358, 273, 883, 15358, 272, 607, 835, 15044, 5044, 23228, 258, 1477, 258, 634, 1297, 540, 2609, 3355, 1242, 538, 15358, 272, 543, 15358, 273, 616, 544, 543, 562, 6606, 23228, 258, 1411, 949, 8263, 602, 15358, 272, 814, 513, 2450, 3160, 547, 544, 1341, 562, 971, 602, 621, 814, 2614, 2230, 547, 3180, 3606, 2609, 1477, 258, 689, 15358, 273, 269, 5897, 333, 4548, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 271, 267, 271, 267, 271, 15947, 332, 815, 476, 274, 1477, 333, 4548, 273, 815, 1496, 273, 267, 276, 267, 277, 15947, 333, 815, 476, 274, 1477, 331, 476, 815, 1496, 272, 267, 273, 267, 274, 267, 271, 267, 271, 267, 271, 15947, 320, 815, 476, 271, 1477, 1721, 1775, 538, 15358, 272, 6769, 825, 1820, 9217, 3418, 825, 952, 1775, 2652, 476, 271, 6769, 1038, 513, 815, 476, 271, 1477, 1038, 15358, 272, 269, 26303, 25225, 273, 314, 320, 8079 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 15703, 5686, 540, 32340, 941, 24797, 883, 2011, 676, 946, 540, 513, 3575, 518, 1826, 610, 513, 30979, 18191, 564, 1826, 3819, 12165, 518, 543, 519, 2450, 14778, 540, 519, 24797, 27829, 5536, 941, 6027, 269, 769, 519, 1239, 2079, 267, 513, 9241, 3989, 24980, 4398, 729, 5189, 538, 1931, 547, 2099, 519, 24980, 1533, 540, 27829, 5536, 267, 10446, 540, 519, 4990, 540, 7318, 32340, 269, 2201, 519, 824, 1688, 267, 519, 23287, 8984, 1871, 8204, 519, 954, 12268, 1834, 23287, 3196, 729, 5833, 998, 513, 9325, 556, 268, 550, 1778, 618, 1449, 2919, 538, 938, 8047, 269, 634, 1239, 6829, 676, 946, 540, 519, 24980, 4398, 543, 519, 23287, 8984, 1871, 1500, 621, 2009, 547, 6218, 11050, 569, 519, 12165, 518, 2773, 585, 1114, 5686, 540, 32340, 269, 898, 729, 1336, 602, 519, 24980, 4398, 729, 1134, 17047, 609, 519, 23287, 8984, 1871, 607, 2484, 607, 519, 2527, 2095, 5223, 1063, 5536, 543, 2011, 729, 6854, 3586, 269, 4475, 267, 519, 24980, 4398, 540, 1022, 8869, 666, 581, 6059, 676, 519, 9325, 556, 268, 550, 1778, 618, 1449, 563, 31871, 540, 3817, 1475, 1556, 2008, 347, 22711, 1475, 28723, 32254, 5303, 2008, 347, 26397, 4567, 1475, 13775, 910, 3967, 476, 272, 476, 1960, 276, 2008, 3008, 297, 290, 2480, 22455, 1641, 2127, 454, 268, 11906, 7177, 263, 718, 994, 268, 23317, 540, 10049 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 568, 519, 946, 540, 9376, 19173, 888, 21104, 725, 540, 9376, 25573, 1331, 694, 5446, 4238, 593, 782, 2010, 540, 23157, 543, 2196, 19173, 532, 269, 24522, 19173, 568, 14916, 1031, 585, 11836, 17234, 27897, 267, 524, 4428, 267, 17927, 267, 19492, 557, 267, 6849, 3092, 269, 24522, 560, 3558, 1826, 476, 22145, 568, 519, 14724, 267, 799, 568, 8032, 689, 519, 13549, 8142, 543, 519, 27342, 16535, 8142, 630, 8201, 476, 1015, 269, 280, 1916, 1432, 568, 519, 3017, 1063, 5832, 19173, 543, 9376, 19173, 888, 2419, 664, 19173, 4222, 568, 2362, 982, 519, 9376, 19173, 269, 24522, 19173, 4222, 568, 2539, 982, 519, 5832, 19173, 269, 2311, 519, 1283, 540, 519, 19173, 267, 621, 5526, 899, 513, 9376, 19173, 543, 693, 519, 5377, 267, 621, 5654, 899, 513, 5595, 5832, 269, 2201, 1312, 5011, 540, 519, 19173, 267, 621, 5526, 519, 1482, 563, 1432, 25437, 519, 25573, 538, 1747, 888, 303, 1638, 519, 8142, 610, 707, 8142, 539, 13549, 998, 707, 1283, 5958, 267, 1818, 2386, 519, 24516, 13978, 538, 1063, 519, 1079, 17234, 269, 623, 15127, 998, 707, 5377, 5958, 543, 14827, 693, 519, 1482, 1747, 596, 3323, 609, 519, 1283, 5958, 269, 901, 786, 9376, 538, 707, 4358, 25573, 538, 1747, 563, 1432, 568, 513, 13032, 542, 19173, 888, 281, 513, 16560, 19173, 2147, 547, 519, 3943, 24516, 8108, 1360, 2110, 13063, 563, 1432, 568, 519, 3017, 1063, 513, 9376, 19173, 22927, 3684, 543, 28624, 3432, 9376, 560, 3558, 22927, 3684, 888, 23192, 5775, 26833, 281, 1548, 568, 519, 886, 790, 1338, 1063, 9376, 560, 3558, 6469, 22927, 3684, 543, 519, 1164, 18286, 9376, 560, 3558, 22927, 3684, 286, 634, 6469, 22927, 3684, 3096, 513, 14251, 908, 27342, 16535, 543, 513, 14887, 267, 1447, 3532, 5179, 269, 634, 4853, 3684, 3096, 513, 15914, 27342, 16535, 602, 29226, 607, 3728, 607, 519, 1164, 18286, 5179, 1281, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1215, 798, 596, 1265, 519, 2268, 540, 1142, 9703, 5086, 540, 513, 20372, 2496, 13202, 476, 2420, 267, 476, 1001, 277, 692, 21413, 811, 1344, 267, 596, 666, 1152, 1265, 519, 1871, 540, 519, 9703, 7285, 540, 513, 2834, 20372, 269, 4635, 519, 3830, 568, 4399, 2765, 3189, 3847, 3799, 910, 476, 273, 9368, 264, 2715, 5197, 23685, 15132, 12453, 333, 4151, 1141, 1269, 333, 259, 568, 519, 1297, 540, 5011, 540, 519, 2834, 20372, 692, 2971, 19247, 1384, 288, 2834, 20372, 4016, 547, 513, 3818, 21758, 23756, 4137, 1141, 782, 5011, 616, 3160, 538, 3259, 543, 782, 7285, 723, 3160, 4110, 3800, 780, 763, 2834, 6906, 814, 476, 274, 9703, 7285, 540, 20270, 2568, 23685, 15132, 4151, 543, 476, 274, 16538, 7285, 540, 20270, 6344, 23685, 15132, 23201, 634, 16538, 5086, 723, 513, 2040, 540, 20270, 11740, 23685, 15132, 348, 815, 1422, 3847, 263, 274, 9368, 264, 2715, 6344, 23685, 15132, 10592, 763, 4009, 814, 476, 275, 9703, 7285, 540, 20270, 3445, 8703, 334, 4151, 543, 476, 275, 16538, 7285, 540, 20270, 3445, 23685, 15132, 23201, 634, 16538, 7285, 723, 513, 2040, 540, 20270, 11740, 23685, 15132, 348, 815, 1422, 3847, 263, 275, 9368, 264, 2715, 3445, 23685, 15132, 31859, 763, 20008, 6782, 814, 476, 276, 9703, 7285, 540, 20270, 10482, 8703, 334, 4151, 543, 476, 276, 16538, 7285, 540, 20270, 7761, 23685, 15132, 23201, 634, 16538, 7285, 723, 513, 2040, 540, 20270, 11740, 23685, 15132, 348, 815, 1422, 3847, 263, 276, 9368, 264, 2715, 7761, 23685, 15132, 31859, 1103, 1931, 547, 1265, 519, 1871, 540, 519, 9703, 5086, 540, 513, 2834, 20372, 267, 519, 3830, 568, 4399, 2765, 3189, 3847, 3799, 910, 476, 273, 9368, 264, 2715, 5197, 23685, 15132, 12453, 333, 4151, 1141, 562, 568, 519, 1297, 540, 5011, 540, 519, 2834, 20372, 780, 31590, 4120, 281, 4399, 3667, 346, 7684, 1422, 2765, 3189, 3847, 263, 274, 910, 476, 273, 9368, 264, 2715, 5197, 23685, 15132, 12453, 274, 348, 815, 2715, 2568, 23685, 15132, 10592, 306, 13645, 4399, 3667, 346, 7684, 1422, 2765, 3189, 3847, 263, 275, 910, 476, 273, 9368, 264, 2715, 5197, 23685, 15132, 12453, 275, 348, 815, 2715, 3445, 23685, 15132, 10592, 303, 550, 6782, 4399, 3667, 346, 7684, 1422, 2765, 3189, 3847, 263, 276, 910, 476, 273, 9368, 264, 2715, 5197, 23685, 15132, 12453, 276, 348, 815, 2715, 10482, 23685, 15132, 4151 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18850, 9084, 543, 3448, 11606, 540, 4544, 16142, 630, 7468, 542, 864, 1350, 879, 8619, 264, 538, 519, 27623, 9533, 7909, 729, 24018, 1759, 593, 6952, 12656, 15492, 3887, 742, 677, 630, 9573, 16604, 264, 829, 476, 1911, 271, 29945, 543, 3259, 12451, 540, 4544, 16142, 9575, 676, 519, 19384, 10652, 20723, 27966, 1279, 1467, 18239, 269, 1306, 513, 2268, 540, 3448, 11606, 267, 8713, 16604, 540, 4544, 16142, 9575, 538, 476, 6812, 476, 24487, 10068, 5036, 676, 519, 19384, 10652, 20723, 27966, 1279, 1467, 18239, 630, 20139, 543, 5750, 1229, 1070, 689, 476, 3192, 279, 547, 476, 1220, 280, 267, 729, 13387, 676, 513, 4937, 1242, 12430, 7844, 630, 21923, 300, 264, 1210, 1614, 1114, 4485, 281, 1775, 264, 513, 2942, 23481, 5470, 2497, 630, 8421, 3095, 5148, 13797, 264, 519, 2757, 18232, 561, 1758, 5436, 2203, 282, 543, 25831, 264, 519, 570, 15634, 773, 3892, 267, 5063, 6069, 547, 4188, 3631, 609, 513, 1164, 8167, 540, 21325, 269, 589, 12440, 2079, 1210, 519, 918, 24578, 753, 1505, 729, 1031, 547, 2697, 3077, 2249, 543, 6451, 621, 607, 513, 3815, 883, 519, 23834, 300, 269, 1849, 13831, 2079, 19882, 519, 1239, 883, 3670, 1114, 10068, 13421, 2687, 547, 519, 6871, 540, 3077, 2249, 269, 27010, 3815, 630, 743, 13831, 264, 729, 519, 1034, 1271, 3815, 7713, 519, 13065, 538, 782, 1614, 8713, 16604, 3631, 269, 634, 570, 15634, 773, 2203, 4951, 513, 5266, 1732, 3514, 3379, 547, 519, 824, 3631, 269, 9791, 16356, 22194, 543, 13387, 8713, 16604, 4951, 513, 5266, 7123, 7678, 689, 476, 3192, 279, 547, 476, 1960, 276, 269, 3245, 476, 1960, 276, 27477, 267, 2705, 267, 972, 729, 606, 2810, 7678, 538, 519, 13387, 8713, 16604, 267, 909, 547, 513, 5021, 1871, 538, 476, 1220, 279, 269, 769, 2489, 267, 22194, 8713, 16604, 543, 13387, 8713, 16604, 27424, 1134, 909, 2394, 476, 1220, 271, 267, 1310, 799, 13387, 8713, 16604, 779, 2418, 941, 693, 513, 5469, 2406, 2539, 1377, 982, 22194, 8713, 16604, 269, 20099, 4908, 1239, 941, 9916, 585, 476, 1556, 476, 280, 3953, 4544, 16142, 6027, 607, 851, 540, 519, 19384, 593, 4580, 20626, 1982, 5665, 593, 519, 10652, 20723, 27966, 1279, 1467, 18239, 1063, 476, 1220, 277, 543, 476, 1220, 279, 267, 609, 7306, 8151, 689, 476, 11011, 547, 476, 23470, 4699, 23643, 3259, 269, 15788, 267, 4544, 16356, 2450, 1239, 4951, 2312, 8901, 543, 12119, 14778, 585, 9038, 543, 8951, 538, 519, 27623, 9533, 7909, 267, 609, 5104, 32596, 15866, 13671, 538, 519, 1034, 521, 719, 615, 569, 4234, 6421, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 11592, 971, 602, 2040, 540, 10945, 540, 3845, 547, 824, 2798, 616, 31965, 692, 296, 991, 547, 1265, 1269, 303, 3287, 11971, 7751, 971, 602, 2040, 540, 10945, 540, 3845, 547, 2798, 1269, 288, 263, 274, 267, 275, 1070, 645, 263, 736, 267, 279, 1070, 595, 263, 275, 267, 2190, 7751, 568, 31965, 269, 1924, 594, 1185, 513, 2489, 4082, 540, 3845, 10484, 259, 291, 29192, 10401, 815, 1422, 6912, 18950, 343, 29192, 10401, 910, 1535, 318, 303, 8203, 273, 1341, 630, 344, 29192, 10401, 910, 586, 318, 303, 8203, 273, 10592, 10190, 519, 2040, 568, 1384, 259, 306, 815, 667, 317, 273, 318, 288, 1341, 667, 317, 273, 29758, 1341, 667, 317, 273, 318, 290, 259, 1269, 284, 630, 343, 318, 288, 910, 1535, 318, 303, 8203, 273, 1341, 630, 344, 318, 288, 910, 586, 318, 303, 8203, 273, 1341, 630, 343, 29758, 910, 1535, 318, 303, 8203, 273, 1341, 630, 344, 29758, 910, 586, 318, 303, 8203, 273, 1341, 630, 343, 318, 290, 910, 1535, 318, 303, 8203, 273, 1341, 630, 344, 318, 290, 910, 586, 318, 303, 8203, 273, 6911, 3086, 621, 3587, 513, 476, 279, 4756, 1599, 286, 1772, 621, 2953, 2496, 2252, 865, 547, 1265, 519, 2565, 2798, 594, 991, 3230, 306, 3709, 343, 318, 288, 9574, 590, 3709, 344, 318, 288, 9574, 590, 3709, 343, 29758, 9574, 590, 3709, 344, 29758, 9574, 590, 3709, 343, 318, 290, 9574, 590, 3709, 344, 318, 290, 9574, 590, 3709, 343, 318, 303, 9574, 590, 3709, 344, 318, 303, 15732, 7775, 568, 972, 606, 4443, 1259, 2496, 7042, 3383, 596, 723, 547, 1265, 1269, 303, 3287, 11971, 7751, 971, 602, 2433, 7445, 6234, 1422, 8999, 3709, 328, 284, 272, 11892, 274, 546, 317, 273, 10983, 259, 568, 513, 8766, 2073, 1141, 23241, 259, 323, 317, 273, 318, 272, 14352, 343, 318, 303, 14870, 318, 288, 8203, 273, 23444, 344, 318, 303, 3917, 318, 288, 8203, 273, 14352, 343, 318, 303, 268, 274, 8203, 273, 23444, 344, 318, 303, 268, 275, 8203, 273, 6911, 259, 323, 317, 273, 318, 273, 14352, 343, 318, 303, 268, 736, 8203, 273, 23444, 344, 318, 303, 268, 279, 8203, 273, 6911, 259, 323, 317, 273, 318, 274, 14352, 343, 318, 303, 268, 275, 8203, 273, 23444, 344, 318, 303, 268, 2190, 8203, 273, 6911, 17798, 23241, 7445, 6234, 1422, 8999, 3709, 328, 284, 272, 11892, 274, 546, 317, 273, 10983, 284, 274, 343, 317, 273, 318, 303, 266, 274, 344, 317, 273, 318, 303, 268, 7918, 343, 318, 303, 268, 7761, 344, 7272, 266, 10482, 272, 6911, 1103, 1931, 547, 1265, 5934, 540, 713, 1599, 596, 723, 547, 1265, 2565, 2798, 543, 1310, 602, 547, 4019, 1739, 11532, 16317, 7042, 2005, 568, 513, 476, 273, 4756, 1966, 267, 519, 2418, 540, 1269, 343, 318, 288, 11971, 318, 288, 21726, 29758, 11971, 29758, 21726, 318, 290, 11971, 318, 290, 259, 616, 782, 3177, 18121, 288, 32390, 267, 290, 259, 1657, 1070, 519, 1152, 26968, 985, 616, 1269, 343, 318, 303, 11971, 318, 303, 10608, 1677, 1265, 519, 3070, 267, 596, 991, 547, 12337, 4399, 2765, 3189, 14783, 590, 7346, 14783, 1535, 318, 303, 4151, 543, 4399, 2765, 3189, 14783, 590, 7346, 14783, 586, 318, 303, 31859, 7042, 1607, 568, 606, 11938, 1966, 609, 1079, 7164, 4632, 267, 1269, 343, 318, 303, 259, 543, 1269, 344, 318, 303, 10608, 634, 824, 1448, 4632, 616, 2808, 547, 581, 21635, 269, 634, 3804, 568, 547, 7413, 519, 7274, 1269, 306, 8961, 3006, 1572, 519, 6662, 1599, 269, 4595, 713, 568, 513, 6780, 1966, 267, 513, 1434, 1935, 568, 547, 1376, 676, 6998, 3054, 519, 1739, 1384, 1892, 6496, 10893, 519, 6662, 1267, 538, 513, 2582, 2953, 3070, 610, 1082, 888, 1892, 1548, 3959, 263, 625, 264, 2291, 693, 519, 3070, 540, 519, 6922, 1436, 267, 610, 693, 1022, 11938, 1982, 286, 670, 842, 281, 946, 707, 1617, 19041, 762, 11810, 1934, 563, 1892, 2052, 596, 946, 891, 3601, 547, 1711, 606, 3830, 610, 4082, 602, 786, 948, 596, 12337, 519, 3070, 2418, 888, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 2313, 9926, 328, 3119, 1153, 10453, 538, 645, 7795, 933, 9857, 8664, 6560, 547, 30321, 1216, 454, 288, 4807, 609, 513, 32515, 2052, 10010, 547, 12398, 1141, 547, 30321, 1216, 689, 538, 519, 28811, 918, 1731, 1180, 5028, 26868, 538, 645, 7795, 933, 9857, 8664, 540, 24063, 269, 16514, 676, 18281, 631, 1872, 26474, 454, 288, 1216, 918, 3930, 330, 538, 715, 323, 4275, 526, 324, 5689, 25596, 269, 769, 4025, 1510, 1569, 547, 2973, 1216, 1453, 543, 3802, 1279, 9883, 267, 946, 18660, 1216, 689, 22253, 543, 8933, 610, 789, 616, 9901, 1804, 5666, 540, 2724, 676, 1216, 23965, 563, 12850, 20317, 568, 835, 540, 519, 1158, 779, 3056, 2042, 7133, 811, 982, 476, 272, 269, 272, 5479, 1004, 11451, 454, 7197, 3979, 2477, 6560, 547, 1683, 1569, 547, 1216, 543, 19455, 547, 741, 1004, 454, 288, 4819, 6763, 2673, 547, 513, 1216, 7382, 269, 14175, 4248, 13688, 616, 4105, 538, 1216, 7556, 543, 4859, 454, 288, 8004, 1126, 7024, 689, 10655, 1216, 538, 513, 13719, 1134, 538, 7262, 24063, 563, 303, 1575, 2812, 10655, 1216, 538, 24063, 269, 769, 1169, 2486, 267, 1216, 2073, 1072, 543, 2069, 616, 5702, 954, 5829, 454, 24464, 538, 6917, 851, 540, 24063, 14335, 513, 24467, 16276, 7382, 454, 4467, 7065, 819, 585, 1216, 2200, 568, 9228, 676, 513, 5354, 540, 2477, 547, 723, 2799, 936, 519, 2250, 476, 736, 1296, 454, 12850, 15024, 723, 3812, 1713, 5222, 593, 1646, 267, 1519, 9283, 547, 6704, 1216, 1569 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 32091, 26264, 342, 663, 3642, 267, 1577, 781, 1832, 621, 2110, 676, 3274, 16460, 891, 1883, 2055, 912, 4692, 596, 1592, 519, 1283, 5013, 543, 28135, 827, 13198, 580, 328, 11709, 10903, 22088, 888, 11764, 3405, 1125, 713, 2376, 585, 513, 476, 1015, 1296, 2025, 454, 299, 340, 580, 328, 11709, 10903, 22088, 630, 2005, 6501, 12332, 281, 1496, 1663, 16659, 328, 27474, 323, 390, 496, 328, 642, 320, 389, 365, 12858, 16659, 339, 389, 505, 25651, 22049, 476, 1321, 2904, 476, 10204, 271, 1107, 476, 272, 4728, 476, 10082, 274, 1070, 1634, 538, 10656, 607, 700, 617, 1168, 6359, 330, 8709, 654, 8636, 601, 630, 296, 5183, 281, 1496, 16659, 5979, 27474, 323, 16745, 390, 489, 389, 505, 1731, 535, 389, 495, 389, 365, 476, 16659, 390, 489, 22688, 339, 16745, 331, 25818, 729, 606, 7969, 4056, 543, 18048, 269, 634, 1034, 7986, 476, 1240, 628, 10601, 4056, 540, 7977, 267, 646, 1316, 2213, 513, 865, 828, 5929, 2358, 4081, 17623, 25724, 2511, 602, 1500, 606, 2653, 5912, 547, 3026, 16438, 817, 6291, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 28214, 13110, 25015, 286, 13201, 513, 4387, 1767, 646, 666, 1405, 1265, 4376, 4636, 609, 596, 286, 12344, 646, 2366, 596, 547, 513, 6413, 267, 855, 782, 519, 4359, 3937, 972, 2982, 602, 972, 568, 4986, 4636, 609, 596, 269, 476, 3973, 267, 2015, 713, 281, 596, 1522, 581, 538, 513, 1533, 540, 1016, 8234, 269, 4427, 8234, 267, 849, 1572, 519, 3791, 1533, 610, 12457, 1533, 267, 568, 6045, 607, 513, 8473, 1467, 1533, 1063, 1072, 543, 2068, 269, 4340, 547, 519, 1353, 676, 519, 2817, 2657, 9257, 267, 936, 476, 3393, 2600, 540, 1016, 11794, 1004, 616, 1647, 27070, 610, 11361, 269, 634, 6871, 568, 1256, 2362, 1851, 1004, 945, 960, 538, 2359, 2990, 607, 1134, 607, 1053, 1472, 981, 942, 269, 476, 12580, 1331, 513, 3668, 540, 1648, 267, 4965, 267, 3500, 6547, 267, 19492, 20439, 1145, 267, 4160, 267, 543, 4057, 3965, 269, 4033, 2589, 1331, 26032, 540, 7362, 267, 24852, 543, 513, 4221, 538, 519, 22765, 543, 7953, 269, 476, 634, 1883, 547, 7303, 543, 23232, 689, 1016, 8234, 267, 2687, 547, 930, 2564, 4966, 267, 568, 547, 1106, 1434, 2713, 6208, 267, 3124, 2299, 960, 609, 1964, 267, 3635, 5781, 267, 543, 1491, 851, 538, 1930, 2011, 2238, 269, 476, 1306, 585, 6980, 267, 1004, 616, 15695, 547, 3548, 1447, 6070, 543, 4006, 269, 1358, 1058, 3548, 811, 4195, 5388, 267, 5613, 543, 3165, 1317, 789, 616, 3638, 538, 9422, 2609, 8686, 527, 7530, 543, 10250, 2609, 476, 602, 616, 1271, 547, 519, 1560, 269, 476, 12594, 4966, 1448, 856, 602, 621, 568, 711, 1434, 547, 3548, 1932, 1454, 693, 835, 7594, 1317, 621, 949, 2014, 14432, 2242, 538, 519, 9667, 8778, 1547, 1358, 849, 2161, 602, 513, 7059, 2732, 568, 1360, 5363, 538, 9319, 1016, 8234, 269, 1306, 585, 1426, 267, 4966, 6700, 602, 318, 563, 271, 269, 649, 1058, 2760, 3548, 5779, 454, 272, 269, 649, 1058, 3548, 811, 5779, 454, 273, 269, 649, 1058, 723, 6980, 609, 1447, 6070, 543, 4006, 454, 274, 269, 1284, 1058, 723, 6980, 1510, 6070, 610, 4006, 454, 12585, 281, 476, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 16338, 23479, 585, 1269, 325, 3189, 3847, 3287, 1422, 2431, 14587, 815, 1535, 3867, 275, 348, 910, 1535, 3867, 273, 348, 1341, 476, 274, 1535, 6911, 763, 9498, 786, 1265, 519, 3017, 23479, 585, 519, 1599, 1269, 325, 3189, 3847, 3287, 1422, 2431, 14587, 815, 1535, 3867, 275, 348, 910, 1535, 3867, 273, 348, 1341, 476, 274, 1535, 8961, 609, 3268, 3254, 780, 2252, 519, 9498, 1705, 711, 12337, 1945, 610, 596, 723, 4857, 606, 5470, 267, 610, 596, 723, 513, 19583, 11721, 3975, 3724, 267, 5225, 2328, 621, 538, 519, 8292, 2630, 780, 8340, 519, 3017, 23479, 585, 1269, 325, 3189, 3847, 3287, 1422, 2431, 14587, 815, 1535, 3867, 275, 348, 910, 1535, 3867, 273, 348, 1341, 476, 274, 1535, 16859, 2162, 8827, 692, 763, 3017, 23479, 568, 2016, 676, 4399, 2765, 346, 325, 3189, 3847, 3287, 1341, 554, 1422, 2431, 14587, 910, 535, 3189, 3847, 3287, 1422, 2431, 264, 12453, 327, 31859, 2414, 1265, 1269, 325, 3189, 3847, 3287, 1341, 554, 1422, 2431, 264, 20954, 11690, 1269, 343, 1341, 554, 259, 3079, 540, 1269, 343, 259, 281, 1269, 325, 3189, 3847, 3287, 1341, 554, 1422, 2431, 14587, 815, 1422, 3847, 3287, 1341, 554, 9368, 22722, 275, 348, 910, 1422, 3847, 3287, 1341, 554, 9368, 22722, 273, 348, 1341, 476, 274, 1422, 3847, 3287, 1341, 554, 9368, 7751, 780, 7661, 267, 4399, 2765, 346, 325, 3189, 3847, 3287, 1341, 554, 1422, 2431, 14587, 910, 535, 3189, 3847, 3287, 1422, 2431, 264, 12453, 327, 348, 815, 1422, 2765, 3189, 3847, 7268, 3847, 3287, 1341, 554, 9368, 22722, 275, 348, 910, 1422, 3847, 3287, 1341, 554, 9368, 22722, 273, 348, 1341, 476, 274, 1422, 3847, 3287, 1341, 554, 9368, 9385, 2431, 264, 910, 1422, 3847, 3287, 3867, 275, 348, 910, 1535, 3867, 273, 348, 1341, 476, 274, 1535, 9368, 20972, 327, 348, 815, 1422, 2765, 346, 274, 554, 910, 1535, 3867, 275, 348, 1341, 1535, 3867, 273, 348, 1341, 1422, 3847, 22607, 1341, 1535, 9368, 22722, 275, 348, 910, 1422, 3847, 22607, 1341, 1535, 9368, 22722, 273, 12453, 327, 20467, 6911, 763, 3017, 23479, 585, 1269, 325, 3189, 3847, 3287, 1422, 2431, 14587, 815, 1535, 3867, 275, 348, 910, 1535, 3867, 273, 348, 1341, 476, 274, 1535, 259, 288, 568, 4399, 2765, 346, 274, 554, 910, 1535, 3867, 275, 348, 1341, 1535, 3867, 273, 348, 1341, 1422, 3847, 22607, 1341, 1535, 9368, 22722, 275, 348, 910, 1422, 3847, 22607, 1341, 1535, 9368, 22722, 273, 12453, 327, 4151, 288, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 634, 1871, 540, 1535, 16317, 2162, 2776, 20412, 639, 281, 9119, 585, 2836, 30501, 13718, 277, 628, 9990, 454, 17556, 23702, 1341, 476, 276, 1866, 454, 21812, 281, 595, 1263, 720, 4804, 454, 25835, 281, 476, 7818, 5400, 275, 24879, 3199, 278, 272, 692, 2162, 2776, 20412, 639, 281, 9119, 585, 2836, 30501, 13718, 277, 628, 9990, 454, 17556, 23702, 1341, 476, 276, 1866, 454, 21812, 281, 595, 1263, 720, 4804, 454, 25835, 281, 476, 7818, 5400, 275, 24879, 3199, 278, 272, 692, 2971, 10298, 692, 6637, 476, 272, 269, 277, 267, 9046, 476, 4366, 292, 454, 2414, 3313, 692, 1012, 1677, 1265, 281, 634, 1871, 540, 1535, 780, 2750, 13630, 8827, 692, 763, 1871, 540, 1535, 568, 476, 1789, 4699, 780, 2162, 19247, 540, 8827, 692, 11693, 1384, 763, 3259, 540, 9102, 6656, 568, 476, 9610, 4699, 543, 8700, 568, 476, 1911, 4699, 780, 763, 15943, 540, 16968, 568, 476, 12208, 2053, 540, 519, 9102, 1858, 780, 15612, 566, 1384, 763, 8700, 540, 10145, 14816, 581, 1535, 780, 307, 629, 3634, 519, 2016, 1344, 883, 519, 1893, 540, 7223, 780, 769, 1913, 769, 10789, 654, 5954, 540, 14816, 1535, 20099, 540, 16968, 476, 9610, 266, 273, 343, 654, 5954, 540, 16968, 476, 1911, 266, 273, 343, 692, 26329, 519, 3830, 585, 519, 1657, 1344, 780, 8110, 9014, 1993, 335, 8803, 284, 3953, 263, 8110, 9014, 1993, 2745, 539, 19327, 264, 273, 263, 9610, 266, 273, 343, 266, 1911, 266, 273, 343, 6661, 3953, 314, 273, 263, 9610, 266, 1911, 264, 6540, 8245, 680, 1518, 519, 1657, 3830, 585, 1535, 10484, 273, 263, 13301, 266, 275, 343, 6661, 274, 9943, 13301, 21878, 266, 279, 343, 284, 24798, 279, 343, 284, 13301, 343, 284, 1789, 692, 13295, 267, 519, 1871, 540, 1535, 568, 476, 1789, 4699, 780, 2162, 5620, 513, 6780, 2243, 2496, 29771, 547, 536, 691, 548, 2421, 1451, 256, 9105, 1641, 2339, 4966, 476, 1789, 6780, 2055, 1142, 3923, 269, 9578, 267, 596, 3580, 723, 1569, 547, 6634, 540, 1900, 8386, 9912, 1837, 4267, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 21080, 30350, 4992, 899, 538, 519, 8301, 1315, 16659, 518, 16745, 921, 22688, 333, 1315, 3079, 540, 1315, 16659, 324, 16745, 921, 22688, 333, 270, 563, 3674, 646, 2731, 15749, 1424, 519, 703, 28424, 1315, 337, 32551, 952, 9811, 267, 568, 621, 1455, 888, 1103, 602, 10916, 267, 519, 10584, 568, 15749, 1424, 519, 2262, 7098, 6955, 2033, 269, 2334, 568, 519, 2262, 1031, 538, 3703, 2296, 563, 763, 2262, 20987, 568, 519, 2262, 1031, 538, 1977, 2296, 563, 8450, 713, 3095, 585, 7098, 6955, 2033, 267, 1141, 621, 814, 513, 10916, 540, 621, 1373, 14733, 543, 849, 3081, 630, 4785, 20987, 1040, 901, 3095, 585, 20987, 814, 19827, 540, 1977, 543, 2296, 5731, 9629, 725, 543, 849, 3081, 2475, 585, 7098, 6955, 2033, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]