Search is not available for this dataset
input_ids
listlengths
6
2.05k
attention_mask
listlengths
6
2.05k
[ 0, 3698, 535, 5622, 28949, 16911, 2187, 825, 2132, 2040, 263, 16911, 264, 1315, 7003, 263, 16911, 994, 2745, 6600, 5622, 263, 1321, 267, 1724, 267, 1691, 267, 1428, 4297, 8931, 3698, 535, 5622, 272, 28949, 16911, 2187, 825, 26571, 815, 1496, 328, 269, 21639, 3890, 585, 1775, 538, 26571, 2639, 825, 2132, 15044, 263, 16911, 994, 2745, 6600, 5622, 272, 2891, 320, 14824, 325, 326, 14824, 614, 14824, 321, 326, 257, 4297, 567, 692, 3698, 535, 5622, 28949, 16911, 2187, 825, 2132, 2040, 263, 16911, 264, 1315, 7003, 263, 16911, 994, 2745, 6600, 5622, 263, 1321, 267, 1724, 267, 1691, 267, 1428, 4297, 672, 692, 3698, 2981, 263, 874, 19189, 2187, 825, 954, 549, 815, 9497, 6011, 14824, 15367, 14824, 25585, 5602, 825, 3854, 2213, 815, 8360, 269, 5115, 1388, 1125, 4590, 825, 952, 8360, 269, 11034, 1873, 603, 263, 5793, 549, 2187, 1038, 2132, 834, 24001, 286, 2668, 8971, 263, 5115, 1388, 2213, 994, 825, 3116, 912, 1038, 2132, 834, 24001, 1701, 269, 8971, 263, 5115, 1388, 2213, 994, 21129, 318, 874, 19189, 815, 11713, 6112, 6936, 912, 825, 3611, 664, 815, 3403, 2891, 921, 848, 4283, 596, 1257, 1934, 281, 19515, 825, 952, 3611, 664, 2652, 257, 315, 754, 13426, 1038, 2736, 454, 825, 3116, 912, 1038, 1710, 318, 874, 19189, 6910, 6025, 4920, 845, 5560, 520, 664, 4917, 2745, 2891, 834, 269, 21860, 6600, 514, 318, 874, 19189, 4297, 17264, 7531 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4210, 902, 513, 10060, 15907, 1107, 6271, 10060, 610, 513, 5940, 656, 14136, 888, 19751, 476, 276, 267, 476, 1001, 277, 454, 2304, 3486, 2319, 3366, 676, 513, 10927, 2875, 1031, 4427, 541, 340, 23571, 543, 16309, 538, 12423, 13959, 6801, 4963, 743, 532, 1472, 6801, 602, 616, 5594, 18219, 982, 519, 6129, 269, 1358, 8214, 1194, 519, 7411, 540, 4466, 15274, 2484, 2476, 689, 519, 3844, 5182, 2483, 26123, 16685, 538, 519, 21708, 454, 20809, 476, 1839, 267, 476, 1001, 277, 454, 2304, 3486, 2319, 540, 3173, 723, 4362, 606, 5393, 4686, 267, 5595, 2707, 7077, 14965, 7828, 532, 1062, 267, 538, 799, 1079, 11397, 15270, 616, 8195, 7828, 539, 676, 513, 32215, 14925, 267, 607, 851, 540, 519, 593, 268, 4707, 4427, 541, 340, 21864, 11752, 609, 15214, 2672, 18905, 4211, 600, 1862 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2991, 31474, 2098, 539, 784, 781, 2669, 1010, 7385, 267, 1927, 609, 1866, 540, 519, 717, 836, 540, 9050, 267, 729, 2322, 593, 4693, 543, 30992, 547, 2669, 282, 950, 1705, 1352, 5884, 888, 12585, 281, 476, 1960, 272, 454, 2704, 328, 1162, 281, 476, 1960, 272, 267, 835, 8536, 267, 8370, 4627, 543, 562, 27197, 14633 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 630, 274, 15383, 20742, 273, 264, 11459, 23444, 343, 273, 266, 15383, 264, 11276, 284, 271, 21999, 26498, 32172, 2633, 366, 21999, 21005, 2633, 506, 18028, 493, 5936, 353, 692, 21581, 8827, 454, 17806, 8827, 454, 19723, 1881, 676, 20226, 692, 1012, 7162, 355, 18028, 363, 11111, 32172, 5936, 486, 2433, 630, 274, 15383, 20742, 273, 264, 11459, 23444, 343, 273, 266, 15383, 264, 11276, 284, 271, 2340, 18568, 11276, 11459, 284, 6629, 263, 274, 15383, 20742, 273, 7565, 343, 273, 266, 15383, 264, 23099, 907, 263, 272, 264, 29334, 28440, 21005, 24691, 18892, 2633, 352, 630, 272, 264, 7162, 362, 17775, 23517, 586, 815, 341, 343, 7162, 483, 18892, 11695, 354, 14098, 353, 10085, 11459, 284, 341, 266, 323, 341, 11459, 7162, 364, 2633, 500, 23547, 17775, 7162, 359, 18892, 642, 21147, 11276, 11459, 284, 6629, 263, 274, 341, 343, 273, 266, 341, 273, 343, 274, 32589, 273, 266, 341, 343, 273, 2340, 18568, 341, 21147, 11276, 11459, 284, 6629, 263, 274, 341, 266, 341, 273, 7565, 272, 266, 341, 264, 2340, 18568, 343, 323, 341, 11459, 17342, 6629, 263, 274, 341, 266, 341, 273, 7565, 272, 266, 341, 264, 6629, 341, 316, 2340, 18568, 343, 323, 341, 11459, 284, 6629, 273, 263, 273, 341, 266, 341, 273, 7565, 272, 266, 341, 264, 2340, 18568, 263, 272, 266, 341, 7565, 273, 341, 266, 341, 273, 264, 323, 341, 284, 6629, 273, 343, 11459, 7162, 355, 26498, 23547, 26498, 23517, 7162, 497, 18892, 21999, 11111, 29334, 28440, 21005, 24691, 18892, 2633, 352, 21999, 18892, 23547, 17775, 7162, 359, 18892, 3980, 360, 272, 266, 341, 263, 273, 341, 266, 341, 273, 264, 323, 341, 266, 4501, 360, 273, 343, 11459, 284, 8421, 322, 2340, 18568, 1321, 8421, 4501, 352, 4501, 352, 273, 341, 266, 341, 273, 4501, 352, 4501, 352, 266, 273, 8421, 347, 343, 347, 284, 8421, 322, 2340, 18568, 8421, 4501, 352, 4501, 352, 343, 273, 18414, 273, 341, 266, 341, 273, 4501, 352, 4501, 352, 284, 8421, 322, 2340, 18568, 4501, 352, 4501, 352, 343, 273, 18414, 273, 341, 266, 341, 273, 4501, 352, 4501, 352, 284, 322, 7162, 359, 27758, 23547, 2633, 481, 1535, 284, 344, 343, 7162, 364, 2633, 500, 23547, 17775, 7162, 359, 18892, 1535, 273, 18414, 273, 344, 343, 20742, 273, 343, 273, 284, 322, 2340, 18568, 343, 18414, 263, 273, 15383, 20742, 273, 6661, 322, 2340, 18568, 343, 273, 263, 273, 15383, 20742, 273, 6661, 322, 273, 7162, 363, 2633, 373, 21005, 7162, 355, 21005, 7162, 501, 2633, 363, 21005, 29334, 28440, 21005, 24691, 18892, 2633, 352, 21999, 11111, 7162, 483, 2633, 511, 21005, 2633, 371, 11695, 509, 32172, 2633, 366, 32172, 5936, 486, 5936, 353, 692, 347, 692, 291, 12874, 339, 18133, 568, 3143, 269, 272, 5530, 2561, 543, 4804, 2561, 609, 2382, 656, 11473, 10298, 585, 19436, 4147, 476, 277, 267, 4147, 476, 278, 267, 4147, 476, 279, 267, 4147, 476, 280, 267, 4147, 476, 1015, 267, 4147, 476, 1556, 543, 4147, 476, 1321, 267, 594, 3951, 808, 7417, 3341, 267, 17252, 4953, 7041, 543, 23048, 267, 24505, 8274, 267, 4437, 9618, 8274, 267, 14076, 553, 22474, 8274, 267, 12463, 8274, 267, 20052, 836, 3570, 8274, 3092, 454, 10998, 12224, 3435, 585, 23048, 543, 824, 1533, 12545, 568, 513, 1883, 10421, 585, 1053, 269, 8935, 23336, 18133, 2337, 609, 6780, 267, 22027, 543, 3435, 547, 782, 519, 2055, 269, 898, 814, 5280, 1053, 1205, 896, 3642, 305, 476, 1911, 538, 17252, 4953, 1299, 594, 3951, 808, 7417, 269, 5192, 7300, 543, 3381, 3435, 540, 594, 3951, 11219, 7417, 631, 1622, 1299, 11628, 3105, 1032, 4574, 267, 17252, 4953, 3105, 1032, 4574, 267, 19436, 2835, 585, 5049, 476, 277, 547, 476, 1321, 267, 23048, 267, 11202, 325, 5407, 23549, 267, 28251, 1744, 12609, 267, 19954, 20548, 541, 19789, 267, 2494, 2129, 541, 14105, 267, 595, 1263, 720, 2835, 585, 12545, 543, 8013, 11400, 563, 291, 12874, 339, 18133, 568, 519, 3501, 17252, 4953, 543, 594, 3951, 808, 7417, 7041, 2561, 269, 5192, 3435, 585, 17252, 4953, 543, 594, 3951, 808, 7417, 3105, 1296, 4574, 267, 2059, 609, 3184, 8797, 17252, 4953, 14330, 304, 3435, 269, 5192, 782, 519, 1353, 1570, 538, 19446, 5420, 543, 2296, 5420, 585, 594, 3951, 808, 7417, 543, 17252, 4953, 7041 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20145, 630, 274, 6113, 9990, 2020, 2330, 10559, 2765, 3189, 7032, 2410, 277, 28021, 2171, 723, 6695, 842, 13064, 273, 270, 1422, 6912, 476, 274, 13925, 268, 273, 4153, 2765, 346, 15848, 2410, 347, 343, 24689, 6912, 12757, 317, 273, 268, 272, 3686, 7807, 5913, 13064, 272, 26507, 347, 13064, 273, 270, 1422, 6912, 476, 274, 13925, 268, 273, 27874, 31386, 5913, 13064, 272, 4153, 2765, 24877, 273, 7346, 6912, 476, 274, 32757, 5913, 13064, 272, 348, 8987, 273, 21174, 2765, 346, 276, 19570, 2410, 277, 32757, 2765, 346, 273, 19570, 2410, 274, 13157, 10559, 2765, 3189, 7032, 2410, 277, 20467, 2330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7726, 1948, 29574, 324, 273, 692, 22261, 476, 273, 267, 476, 1001, 277, 692, 13828, 5011, 11224, 12276, 7562, 8703, 273, 348, 512, 910, 11513, 6523, 8703, 273, 348, 512, 6911, 2971, 19247, 1384, 7445, 2765, 346, 3189, 11927, 8703, 273, 348, 512, 910, 476, 272, 7346, 5913, 348, 9745, 476, 273, 512, 815, 1422, 2765, 346, 3189, 7562, 8703, 273, 348, 1422, 2765, 346, 339, 7346, 6523, 348, 9745, 476, 273, 512, 910, 476, 272, 7346, 2765, 346, 272, 7346, 6523, 348, 9745, 476, 273, 512, 348, 815, 11513, 7562, 8703, 273, 348, 512, 910, 11513, 6523, 8703, 273, 348, 512, 6911, 7445, 2765, 3189, 11927, 512, 910, 1422, 20799, 512, 7346, 11927, 512, 1341, 1422, 20799, 512, 348, 815, 1422, 2765, 3189, 7562, 1422, 2765, 346, 339, 7346, 6523, 348, 512, 910, 1422, 6523, 1422, 2765, 346, 339, 7346, 7562, 348, 512, 7346, 7562, 1422, 2765, 346, 339, 7346, 6523, 348, 512, 1341, 1422, 6523, 1422, 2765, 346, 339, 7346, 7562, 348, 512, 348, 815, 1422, 2765, 3189, 2765, 346, 3189, 7562, 8703, 273, 348, 910, 11513, 6523, 8703, 273, 348, 512, 7346, 7562, 512, 1422, 6523, 512, 24828, 2765, 346, 3189, 7562, 8703, 273, 348, 1341, 11513, 6523, 8703, 273, 348, 512, 7346, 7562, 512, 1422, 6523, 512, 3686, 815, 11513, 7562, 8703, 273, 348, 512, 910, 11513, 6523, 8703, 273, 348, 512, 6911, 22261, 476, 277, 267, 476, 1001, 277, 692, 259, 299, 670, 590, 815, 1422, 2765, 346, 3189, 11927, 8703, 273, 348, 570, 910, 476, 272, 7346, 5913, 348, 9745, 476, 273, 570, 6911, 259, 284, 1422, 2765, 346, 3189, 11927, 8703, 273, 348, 570, 910, 476, 272, 2410, 272, 1341, 11513, 11927, 8703, 273, 348, 570, 10592, 314, 291, 1204, 532, 19362, 543, 14009, 676, 4399, 11927, 570, 259, 476, 6540, 259, 284, 1422, 2765, 346, 3189, 11927, 8703, 273, 348, 1422, 2765, 346, 307, 7346, 11927, 348, 570, 910, 1422, 2765, 346, 272, 7346, 11927, 348, 570, 7346, 2765, 346, 272, 7346, 11927, 348, 570, 1341, 11513, 11927, 8703, 273, 348, 1422, 2765, 346, 307, 7346, 11927, 348, 570, 10592, 259, 284, 1422, 2765, 3189, 11927, 570, 910, 1422, 20799, 570, 7346, 20799, 570, 1341, 1422, 11927, 570, 348, 815, 681, 670, 590, 6911, 3682, 1386 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2016, 4137, 2982, 1480, 9667, 1062, 609, 930, 31002, 2694, 1547, 10576, 519, 851, 538, 799, 2347, 12536, 540, 1426, 3217, 1747, 543, 519, 851, 689, 799, 519, 3768, 580, 6479, 1426, 568, 16207, 856, 540, 519, 1560, 6606, 563, 2752, 543, 623, 454, 289, 304, 543, 590, 454, 9573, 543, 1627, 454, 11403, 543, 590, 454, 3963, 568, 621, 31002, 631, 3036, 301, 5058, 12971, 2177, 19200, 9898, 17472, 2177, 715, 20846, 888, 13750, 618, 476, 272, 2433, 589, 2481, 585, 13936, 1216, 568, 1500, 23198, 693, 519, 5377, 982, 693, 519, 1283, 563, 13750, 618, 476, 273, 2433, 28966, 2604, 4679, 609, 2333, 538, 3178, 563, 3963, 568, 519, 2626, 711, 1312, 26176, 839, 616, 3020, 543, 3948, 476, 273, 568, 2953, 1163, 531, 1588, 540, 3948, 476, 273, 454, 19177, 2147, 13355, 22197, 267, 623, 267, 1627, 267, 681, 543, 590, 941, 8288, 689, 12673, 540, 1114, 13080, 607, 3254, 538, 519, 6516, 269, 589, 26745, 540, 4401, 20382, 729, 5116, 2630, 519, 22197, 269, 3962, 11275, 13631, 513, 1114, 1297, 540, 20382, 607, 3254, 538, 519, 6516, 563, 7617, 11275, 729, 1034, 2693, 519, 4617, 652, 888, 291, 568, 9406, 8382, 1306, 634, 13804, 564, 521, 568, 519, 31808, 652, 607, 621, 814, 13631, 1152, 476, 273, 11635, 18969, 865, 2953, 2626, 568, 4781, 667, 267, 306, 454, 2252, 519, 2837, 4679, 267, 1287, 1018, 4523, 547, 519, 4908, 540, 519, 3280, 3812, 676, 519, 1418, 10612, 888, 291, 2052, 1406, 2161, 454, 2005, 1058, 581, 524, 269, 634, 2837, 1281, 711, 1860, 519, 4908, 540, 3280, 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, 454, 258, 1411, 616, 2016, 11113, 540, 1114, 29559, 543, 513, 2698, 2179, 540, 2724, 2179, 269, 3503, 513, 1599, 547, 12337, 519, 1906, 652, 1297, 540, 11113, 602, 596, 991, 547, 1118, 909, 602, 2179, 269, 1403, 602, 2179, 540, 2724, 3112, 581, 1500, 909, 676, 1022, 4999, 540, 519, 11113, 267, 2132, 910, 272, 780, 258, 7151, 476, 272, 912, 258, 11113, 815, 1496, 272, 267, 476, 273, 267, 476, 276, 3910, 2179, 815, 476, 1556, 454, 258, 2132, 476, 274, 630, 1556, 815, 476, 276, 1341, 476, 276, 1341, 476, 272, 2020, 258, 7151, 476, 273, 912, 258, 11113, 815, 1496, 273, 3910, 2179, 815, 476, 274, 454, 258, 2132, 910, 272, 780, 258, 8074, 912, 258, 1411, 949, 8263, 602, 596, 723, 606, 12808, 1297, 540, 1142, 2186, 540, 11777, 563, 16482, 23915, 815, 1496, 272, 267, 273, 267, 276, 267, 279, 267, 278, 267, 280, 2639, 23915, 31699, 4590, 23915, 815, 11113, 11468, 18737, 272, 2639, 26920, 815, 476, 1839, 692, 548, 770, 10870, 1231, 815, 30585, 272, 316, 2608, 630, 26920, 1341, 476, 272, 994, 1721, 11777, 538, 11113, 912, 453, 548, 770, 10870, 1231, 314, 8314, 316, 815, 476, 272, 692, 1721, 1775, 538, 1535, 9792, 263, 26920, 1341, 476, 272, 2187, 14851, 2547, 10870, 1231, 5157, 316, 11203, 910, 272, 912, 453, 453, 11666, 826, 454, 22610, 11777, 538, 11113, 912, 453, 14851, 11777, 2999, 1775, 912, 4848, 14851, 2547, 10870, 1231, 5157, 910, 11777, 316, 11203, 910, 272, 912, 15235, 453, 548, 770, 10870, 1231, 5157, 316, 815, 2547, 10870, 1231, 5157, 910, 11777, 316, 1341, 476, 272, 454, 15235, 453, 19874, 692, 2745, 2547, 10870, 1231, 314, 26920, 6540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4198, 274, 589, 9391, 10933, 10819, 270, 19370, 476, 276, 692, 1012, 9046, 476, 276, 692, 2252, 4399, 8421, 318, 277, 1535, 284, 273, 269, 276, 8961, 519, 1871, 540, 1269, 343, 259, 568, 1384, 7445, 3667, 8578, 18950, 288, 264, 4153, 476, 3445, 1422, 29911, 1422, 3667, 8578, 18950, 289, 264, 4153, 476, 3607, 1422, 29911, 1422, 3667, 8578, 18950, 290, 264, 4153, 476, 3607, 25490, 346, 277, 348, 1422, 29911, 1422, 3667, 8578, 18950, 291, 264, 4153, 476, 271, 269, 276, 1422, 29911, 1422, 3667, 8578, 18950, 292, 264, 4153, 1422, 3667, 23533, 821, 540, 891, 10592, 1012, 8827, 476, 272, 692, 7445, 8421, 318, 277, 1535, 7807, 2765, 346, 276, 2410, 273, 4153, 574, 18680, 476, 273, 315, 8421, 318, 277, 1535, 284, 276, 315, 574, 18680, 1422, 8421, 318, 277, 1535, 317, 273, 284, 276, 315, 574, 18680, 1535, 317, 273, 284, 277, 317, 276, 315, 574, 18680, 1535, 284, 3607, 25490, 346, 277, 20954, 4399, 325, 7901, 346, 290, 10592, 1012, 8827, 476, 273, 692, 7445, 8421, 318, 277, 1535, 7807, 2765, 346, 276, 2410, 273, 4153, 574, 18680, 476, 277, 17353, 2765, 346, 276, 2410, 273, 3686, 284, 343, 1422, 574, 18680, 1422, 6912, 346, 277, 317, 276, 13157, 343, 1422, 574, 18680, 476, 3607, 25490, 346, 277, 348, 815, 1535, 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 ]
[ 0, 1012, 15154, 7527, 1227, 630, 277, 628, 9990, 2020, 13775, 676, 21942, 692, 258, 3848, 476, 1556, 910, 25478, 10613, 543, 17438, 7869, 910, 476, 1556, 269, 274, 10395, 5209, 910, 11644, 5590, 476, 1556, 269, 274, 281, 476, 3199, 692, 15793, 276, 5439, 692, 2971, 4518, 5153, 676, 5153, 692, 288, 3732, 10522, 602, 519, 1931, 540, 8939, 922, 9115, 538, 796, 28695, 269, 1284, 960, 609, 10659, 269, 634, 3732, 609, 1100, 26843, 11436, 814, 1044, 6074, 538, 513, 1259, 602, 281, 630, 272, 264, 476, 275, 11436, 941, 6074, 689, 519, 476, 1428, 2324, 11436, 630, 273, 264, 476, 271, 11436, 941, 6074, 689, 519, 476, 276, 26843, 11436, 11192, 281, 20270, 13925, 1428, 348, 290, 3709, 275, 4153, 6234, 1422, 10383, 2715, 13925, 276, 348, 290, 3709, 271, 18098, 2765, 346, 1428, 256, 2410, 263, 1428, 268, 275, 25631, 275, 256, 4153, 9392, 21702, 346, 276, 256, 2410, 263, 276, 268, 271, 25631, 271, 256, 4151, 3267, 676, 4214, 267, 1269, 271, 256, 284, 272, 259, 1862, 1269, 7807, 6234, 1422, 2765, 346, 1428, 24585, 476, 1691, 24585, 476, 1724, 24585, 476, 1321, 2410, 272, 24585, 476, 273, 24585, 476, 274, 24585, 476, 275, 4153, 10383, 476, 272, 259, 1269, 284, 15793, 276, 6911, 5475, 596, 3409, 606, 2626, 596, 3580, 723, 476, 2190, 3108, 547, 6494, 538, 513, 8908, 269, 1323, 9375, 786, 2689, 519, 19169, 543, 2901, 15476, 707, 19169, 610, 1683, 1109, 12890, 3724, 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 ]
[ 0, 258, 28662, 5121, 543, 20868, 17831, 692, 296, 723, 547, 4194, 519, 1739, 1966, 1384, 22428, 649, 723, 513, 15922, 14198, 2121, 538, 799, 649, 723, 519, 1739, 4632, 281, 681, 267, 13698, 543, 11553, 692, 4131, 1384, 303, 27562, 264, 815, 476, 271, 269, 272, 267, 623, 263, 5183, 264, 815, 476, 271, 269, 276, 267, 623, 263, 11266, 31340, 267, 13698, 264, 815, 476, 271, 269, 277, 267, 623, 263, 11266, 347, 12953, 305, 267, 13698, 264, 815, 476, 271, 269, 275, 267, 623, 263, 11266, 347, 12953, 305, 267, 2485, 361, 5183, 264, 815, 476, 271, 269, 272, 543, 623, 263, 11266, 31340, 267, 2485, 361, 5183, 264, 815, 476, 271, 269, 273, 692, 1432, 568, 519, 5506, 540, 623, 263, 12953, 305, 267, 11553, 267, 2485, 361, 5183, 264, 2496, 296, 3323, 609, 623, 263, 12953, 305, 264, 543, 623, 263, 12953, 5183, 1070, 1317, 594, 666, 12337, 873, 607, 5205, 1384, 303, 263, 12953, 305, 264, 815, 476, 272, 910, 623, 27562, 264, 815, 476, 271, 269, 280, 623, 263, 12953, 5183, 264, 815, 476, 272, 910, 623, 263, 5183, 264, 815, 476, 271, 269, 276, 692, 10190, 594, 1589, 594, 666, 12337, 623, 263, 11266, 347, 12953, 305, 264, 543, 946, 15922, 525, 4341, 267, 2705, 1384, 303, 263, 11266, 347, 12953, 305, 267, 13698, 264, 815, 476, 271, 269, 275, 2340, 18568, 22382, 623, 263, 11266, 347, 12953, 305, 264, 2608, 623, 263, 5183, 264, 815, 476, 271, 269, 275, 1422, 23976, 623, 263, 11266, 347, 12953, 305, 264, 815, 476, 271, 269, 279, 692, 296, 849, 723, 623, 263, 11266, 347, 12953, 305, 267, 2485, 361, 5183, 264, 815, 476, 271, 269, 272, 1422, 23976, 623, 263, 11266, 347, 12953, 305, 264, 815, 476, 271, 269, 273, 692, 763, 1482, 585, 623, 263, 11266, 31340, 264, 1862, 594, 1205, 1114, 2164, 267, 865, 594, 666, 1405, 4019, 15922, 525, 4341, 269, 901, 1797, 594, 993, 15069, 3257, 1945, 4636, 267, 1141, 568, 1250, 12161, 286, 1215, 666, 594, 4194, 621, 2496, 2330, 303, 27562, 267, 11553, 267, 13698, 264, 815, 623, 27562, 264, 303, 263, 5183, 264, 303, 263, 11266, 31340, 267, 5183, 14638, 454, 810, 596, 666, 5173, 519, 4745, 5506, 2047, 689, 519, 19585, 17831, 269, 6145, 596, 1767, 596, 917, 1269, 303, 7268, 10864, 678, 7751, 543, 1269, 303, 7268, 10864, 17328, 7751, 543, 596, 849, 917, 1269, 303, 263, 1440, 347, 1422, 10864, 678, 267, 1422, 10864, 17328, 30879 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2237, 513, 1599, 602, 24693, 513, 476, 273, 291, 1592, 540, 9981, 543, 7024, 519, 5021, 12601, 2894, 1871, 585, 519, 3003, 1592, 269, 1411, 666, 8263, 602, 519, 1297, 454, 1993, 9587, 538, 1142, 4737, 568, 519, 1482, 269, 2659, 1599, 1058, 2132, 7183, 952, 519, 1592, 568, 8900, 610, 782, 519, 2338, 538, 519, 476, 273, 291, 1592, 616, 9642, 269, 3097, 2710, 10691, 946, 9226, 781, 3710, 538, 3193, 3890, 1599, 780, 20701, 258, 7392, 707, 3009, 1934, 454, 3698, 1256, 26371, 27331, 2187, 825, 952, 711, 700, 912, 1038, 2132, 7183, 454, 825, 1007, 8217, 815, 11713, 825, 585, 4737, 538, 2039, 12759, 27331, 15892, 1038, 585, 897, 538, 2039, 12759, 27331, 314, 271, 8079, 2187, 2018, 952, 700, 314, 992, 6012, 3712, 316, 4939, 476, 273, 2652, 476, 271, 912, 3546, 1007, 8217, 6910, 27331, 314, 992, 6012, 3712, 7481, 825, 2132, 1007, 8217, 692, 3698, 3193, 318, 16838, 26371, 28956, 8217, 2187, 825, 3193, 318, 16838, 815, 1007, 8217, 314, 271, 2639, 825, 585, 1775, 538, 1007, 8217, 912, 1038, 952, 1775, 3436, 3193, 318, 16838, 912, 2018, 3193, 318, 16838, 815, 1775, 454, 825, 2132, 3193, 318, 16838, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10789, 692, 14006, 539, 676, 16317, 296, 1175, 4941, 547, 13182, 519, 2626, 594, 3357, 909, 609, 780, 24169, 676, 519, 18839, 1505, 780, 276, 343, 266, 273, 344, 15871, 4029, 454, 343, 15871, 274, 268, 273, 344, 692, 1432, 568, 519, 3070, 540, 519, 1062, 2496, 344, 284, 273, 454, 343, 15871, 278, 692, 763, 10288, 6292, 1131, 581, 11196, 278, 267, 273, 2020, 1892, 10789, 910, 692, 2791, 616, 2953, 780, 1012, 5381, 5999, 692, 272, 269, 12693, 10789, 692, 10267, 9535, 513, 1906, 4267, 547, 930, 7223, 2042, 281, 476, 272, 269, 8340, 519, 9386, 540, 519, 1899, 602, 10596, 998, 519, 2798, 11196, 275, 267, 272, 264, 543, 630, 274, 267, 276, 1040, 594, 3893, 544, 815, 476, 276, 268, 272, 1315, 476, 274, 24179, 275, 264, 8382, 568, 544, 815, 476, 275, 270, 278, 476, 273, 269, 8340, 519, 3830, 267, 538, 9386, 25435, 1106, 267, 540, 519, 1899, 602, 10596, 6693, 273, 269, 12693, 2979, 692, 338, 9876, 676, 519, 18839, 1505, 476, 274, 343, 1341, 476, 277, 344, 815, 476, 2767, 910, 273, 343, 1341, 586, 815, 476, 1321, 1018, 568, 519, 3070, 540, 519, 1062, 907, 263, 6943, 606, 10288, 6292, 267, 610, 715, 952, 972, 568, 1100, 3070, 994, 274, 269, 12693, 2979, 692, 338, 9876, 676, 519, 18839, 1505, 476, 274, 343, 1341, 476, 277, 344, 815, 476, 2767, 910, 273, 343, 1341, 586, 815, 476, 1321, 1018, 568, 519, 3070, 540, 519, 1062, 907, 263, 6943, 606, 10288, 6292, 267, 610, 715, 952, 972, 568, 1100, 3070, 264, 814, 547, 581, 899, 630, 274, 267, 276, 264, 921, 848, 948, 803, 454, 275, 269, 12693, 10789, 692, 24169, 676, 18839, 1505, 269, 476, 277, 343, 266, 280, 344, 15871, 1321, 910, 276, 343, 20742, 284, 2767, 1548, 568, 519, 3070, 540, 519, 1062, 2496, 277, 269, 12693, 10789, 476, 272, 320, 692, 24169, 676, 519, 18839, 1505, 269, 476, 276, 343, 1341, 476, 279, 344, 284, 271, 1535, 284, 273, 476, 273, 344, 7392, 10288, 6292, 952, 972, 568, 513, 3070, 267, 610, 5815, 1100, 3070, 454, 278, 269, 12693, 7223, 692, 2224, 1505, 540, 18839, 547, 4194, 519, 1062, 540, 5276, 4834, 269, 476, 273, 343, 3917, 284, 274, 476, 280, 343, 268, 275, 344, 284, 1691, 568, 519, 3070, 606, 10288, 6292, 263, 267, 994, 279, 269, 12693, 2979, 7223, 692, 24169, 519, 1739, 1062, 1210, 17594, 269, 1403, 513, 2582, 3070, 6818, 267, 2328, 519, 3070, 607, 606, 10288, 6292, 269, 2659, 2626, 786, 581, 606, 10288, 6292, 267, 1100, 3070, 267, 610, 28222, 1082, 3435, 269, 910, 320, 17070, 15871, 275, 476, 273, 320, 268, 274, 321, 15871, 273, 454, 280, 269, 12693, 7223, 476, 272, 692, 24169, 713, 1062, 1210, 17594, 269, 1403, 513, 2582, 3070, 6818, 267, 2328, 519, 3070, 607, 606, 10288, 6292, 269, 2659, 2626, 786, 581, 606, 10288, 6292, 267, 1100, 3070, 267, 610, 28222, 1082, 3435, 269, 476, 276, 343, 284, 344, 284, 1428, 476, 274, 343, 266, 273, 344, 284, 280, 454, 1015, 269, 12693, 10789, 13038, 14893, 692, 15916, 267, 901, 568, 519, 2063, 540, 2055, 594, 723, 585, 1250, 2259, 7084, 269, 11088, 594, 786, 2322, 1018, 594, 3893, 269, 8729, 585, 707, 948, 269, 476, 272, 4700, 16534, 519, 1062, 1210, 18839, 269, 3503, 2626, 607, 606, 10288, 6292, 269, 476, 275, 343, 266, 273, 344, 284, 279, 910, 276, 343, 268, 273, 284, 344, 589, 4700, 3689, 3830, 2560, 692, 5415, 5381, 5999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19358, 550, 17781, 9046, 281, 8827, 476, 272, 692, 3383, 1082, 2081, 547, 1788, 269, 634, 9696, 1831, 796, 745, 569, 269, 594, 949, 4734, 1055, 1934, 269, 594, 4126, 621, 568, 2312, 602, 10616, 666, 581, 4904, 538, 1022, 1297, 540, 2081, 269, 12843, 318, 634, 19358, 550, 17781, 9046, 281, 1496, 4289, 316, 1496, 265, 316, 272, 269, 19358, 550, 2059, 519, 26079, 281, 4194, 585, 737, 1496, 265, 316, 273, 320, 269, 19461, 2990, 281, 1496, 14766, 316, 10674, 2517, 4178, 269, 613, 334, 613, 1962, 520, 4209, 3820, 8276, 1468, 270, 19651, 270, 573, 270, 6812, 274, 2568, 22535, 14766, 316, 1496, 265, 316, 273, 321, 269, 19358, 550, 547, 3160, 10580, 281, 1496, 14766, 316, 10674, 2517, 4178, 269, 613, 334, 613, 1962, 520, 4209, 3820, 8276, 1468, 270, 19651, 270, 573, 270, 6812, 275, 4649, 22535, 14766, 316, 1496, 265, 316, 274, 320, 269, 9050, 20102, 17242, 1299, 16538, 10580, 630, 25721, 3326, 517, 3780, 2567, 1496, 14766, 316, 10674, 2517, 4178, 269, 613, 334, 613, 1962, 520, 4209, 3820, 8276, 1468, 270, 19651, 270, 573, 270, 6812, 272, 8660, 1496, 270, 14766, 316, 1496, 265, 316, 274, 321, 269, 21070, 5786, 281, 1496, 14766, 316, 10674, 2517, 4178, 269, 613, 334, 613, 1962, 520, 4209, 3820, 8276, 1468, 270, 19651, 270, 573, 270, 6812, 275, 8618, 22535, 14766, 316, 1496, 270, 4289, 316, 1496, 4289, 316, 1496, 265, 316, 288, 742, 710, 26306, 1496, 14766, 316, 10674, 2517, 4178, 269, 613, 334, 613, 1962, 520, 4209, 3820, 8276, 1468, 270, 19651, 270, 573, 270, 6812, 272, 6507, 22535, 14766, 316, 1496, 265, 316, 8269, 3005, 281, 7412, 827, 513, 17781, 1496, 14766, 316, 10674, 2517, 4178, 269, 613, 334, 613, 1962, 520, 4209, 3820, 8276, 1468, 270, 19651, 270, 573, 270, 276, 5952, 2420, 22535, 14766, 316, 1496, 265, 316, 8269, 3005, 281, 17781, 827, 513, 17781, 281, 1496, 14766, 316, 10674, 2517, 4178, 269, 613, 334, 613, 1962, 520, 4209, 3820, 8276, 1468, 270, 19651, 270, 573, 270, 6812, 272, 5952, 22535, 14766, 316, 1496, 265, 316, 290, 22511, 769, 11437, 281, 5450, 878, 6611, 281, 1496, 14766, 316, 10674, 2517, 4178, 269, 613, 334, 613, 1962, 520, 4209, 3820, 8276, 1468, 270, 19651, 270, 573, 270, 31430, 3953, 22535, 14766, 316, 1496, 270, 4289, 316, 8827, 281, 1496, 4289, 316, 1496, 265, 316, 306, 3225, 1878, 476, 272, 281, 19725, 1496, 14766, 316, 10674, 2517, 4178, 269, 613, 334, 613, 1962, 520, 4209, 3820, 8276, 1468, 270, 19651, 270, 573, 270, 276, 6434, 9834, 22535, 14766, 316, 1496, 265, 316, 306, 3225, 775, 476, 272, 281, 19725, 1496, 14766, 316, 10674, 2517, 4178, 269, 613, 334, 613, 1962, 520, 4209, 3820, 8276, 1468, 270, 19651, 270, 573, 270, 6795, 279, 1626, 22535, 14766, 316, 1496, 265, 316, 306, 3225, 775, 476, 272, 281, 594, 614, 566, 476, 272, 1496, 14766, 316, 10674, 2517, 4178, 269, 613, 334, 613, 1962, 520, 4209, 3820, 8276, 1468, 270, 19651, 270, 573, 270, 6795, 279, 2764, 22535, 14766, 316, 1496, 265, 316, 7078, 540, 6697, 20327, 281, 1496, 14766, 316, 10674, 2517, 4178, 269, 613, 334, 613, 1962, 520, 4209, 3820, 8276, 1468, 270, 19651, 270, 573, 270, 4792, 278, 7918, 22535, 14766, 316, 1496, 321, 316, 20681, 29806, 12810, 22535, 321, 316, 1496, 270, 4289, 6540, 300, 1468, 7392, 454, 12244, 454, 30475, 454, 935, 545, 1109, 16879, 1109, 5858, 1109, 538, 11437, 1109, 6810, 1109, 2848, 10719, 454, 307, 13759, 6828, 630, 21848, 994, 866, 32504, 23458, 454, 12626, 630, 18197, 2276, 2020, 10481, 334, 10481, 3630, 4528, 454, 275, 269, 275, 454, 21366, 454, 279, 1321, 278, 692, 1892, 2983, 334, 10481, 3630, 454, 1892, 6435, 454, 1892, 16890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 32760, 3644, 568, 3262, 998, 18151, 17486, 543, 5521, 15969, 666, 948, 2569, 707, 1981, 540, 3478, 3787, 1084, 269, 634, 32760, 3644, 12090, 538, 8478, 543, 568, 3533, 4742, 513, 2518, 1966, 609, 1082, 2477, 1631, 1373, 13042, 607, 5906, 585, 2507, 3367, 2859, 454, 1103, 930, 772, 2529, 269, 4872, 267, 5127, 30471, 616, 4742, 11259, 547, 5521, 15969, 269, 3026, 9582, 616, 513, 1455, 1106, 540, 5521, 15969, 547, 9004, 543, 1852, 5127, 30471, 267, 855, 519, 1007, 1353, 814, 20114, 602, 1082, 5127, 30471, 616, 4742, 11259, 547, 713, 1455, 7154, 540, 1852, 269, 2507, 3367, 2859, 454, 6097, 547, 606, 2376, 3370, 538, 32081, 3194, 267, 3744, 689, 519, 10418, 2817, 632, 3288, 5589, 615, 3832, 6982, 604, 1664, 538, 3943, 2871, 10005, 723, 4857, 519, 4719, 4493, 585, 18151, 4187, 547, 5521, 15969, 563, 763, 960, 4847, 3173, 547, 1376, 513, 931, 24832, 5473, 811, 2507, 3367, 2859 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7069, 1053, 798, 711, 2097, 4712, 543, 9599, 547, 1224, 593, 513, 3232, 4493, 269, 1358, 2097, 689, 606, 1858, 1141, 621, 568, 1454, 811, 6225, 585, 873, 547, 1685, 3527, 2864, 982, 4555, 269, 1358, 798, 711, 723, 1454, 8404, 267, 855, 594, 1616, 547, 2333, 602, 538, 1250, 4928, 269, 1358, 1175, 991, 513, 3787, 811, 540, 513, 7903, 982, 930, 1053, 538, 1931, 547, 1174, 519, 7772, 543, 2956, 540, 2542, 543, 1565, 269, 18753, 9089, 786, 948, 609, 602, 1620, 607, 1134, 607, 519, 3853, 602, 594, 1616, 519, 1053, 547, 3035, 563, 20877, 545, 9089, 616, 782, 519, 30270, 1318, 1631, 269, 594, 993, 9599, 602, 513, 3209, 602, 594, 723, 547, 4001, 19037, 568, 2139, 538, 8642, 1106, 607, 1134, 269, 3733, 1053, 786, 581, 2542, 634, 717, 1853, 267, 543, 594, 1131, 899, 873, 547, 1224, 519, 8642, 3209, 4528, 540, 621, 607, 1134, 269, 7335, 519, 8642, 3209, 786, 948, 873, 1732, 1174, 519, 1257, 269, 898, 568, 849, 811, 4277, 585, 519, 1053, 543, 789, 786, 1732, 834, 1326, 257, 621, 269, 1358, 786, 581, 2111, 547, 1294, 13744, 553, 2965, 7487, 2699, 269, 1358, 786, 581, 2111, 547, 1294, 519, 16089, 18428, 269, 634, 1053, 786, 2972, 519, 1433, 811, 1310, 2542, 519, 8642, 4528, 563, 2252, 596, 24603, 547, 713, 1788, 267, 596, 666, 1129, 538, 547, 4734, 513, 6085, 585, 15516, 269, 5682, 563, 10673, 832, 16521, 568, 519, 1948, 272, 4928, 7616, 3135, 585, 3610, 563, 2026, 513, 4116, 1922, 15903, 18758, 267, 649, 2811, 11967, 676, 5215, 540, 3610, 543, 18793, 2066, 519, 2197, 269, 901, 4928, 7662, 585, 7616, 729, 2813, 676, 15516, 269, 5682, 543, 12649, 676, 519, 5213, 832, 16521, 2319, 563, 10673, 832, 16521, 2306, 621, 2653, 585, 4896, 547, 948, 513, 4928, 538, 991, 269, 5398, 1153, 3610, 689, 1169, 7944, 540, 3013, 1711, 4928, 1788, 13668, 267, 543, 596, 666, 2285, 1022, 2179, 547, 519, 1788, 602, 26182, 596, 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 ]
[ 0, 24445, 873, 3595, 13219, 610, 17500, 12961, 267, 1979, 565, 29061, 1417, 855, 1206, 616, 30437, 2066, 11882, 454, 15371, 596, 1289, 873, 3595, 13219, 610, 17500, 12961, 267, 1979, 565, 29061, 1417, 855, 1206, 616, 30437, 2066, 1454, 540, 519, 595, 32385, 10620, 543, 8832, 17996, 1858, 607, 15911, 5210, 1491, 3180, 563, 288, 5432, 4832, 5503, 5172, 267, 891, 7786, 616, 2965, 22404, 267, 27248, 2818, 540, 519, 700, 2086, 344, 5090, 2801, 1920, 563, 2691, 5210, 979, 909, 267, 519, 2937, 3595, 12187, 2501, 856, 267, 2938, 1000, 1074, 1782, 538, 519, 3781, 563, 7197, 3742, 538, 3735, 4873, 543, 883, 519, 5147, 3275, 267, 13617, 539, 4079, 616, 1634, 585, 519, 1979, 565, 29061, 1417, 4388, 540, 741, 705, 3256, 839, 530, 9722, 593, 543, 1055, 563, 5445, 2461, 4122, 2938, 538, 803, 27595, 267, 18126, 267, 8728, 540, 7733, 543, 1472, 12535, 269, 1809, 3622, 267, 789, 2811, 3833, 7839, 2066, 519, 1858, 563, 763, 1166, 4770, 4079, 616, 1439, 8393, 19278, 547, 1453, 543, 4079, 269, 4256, 9602, 4527, 8591, 547, 519, 9059, 540, 606, 11882, 4832, 3781, 563, 2005, 781, 835, 540, 519, 3020, 13300, 540, 2470, 547, 1294, 5215, 540, 3595, 13219, 530, 9722, 782, 2066, 513, 1970, 2887, 578, 2361, 267, 610, 267, 952, 596, 2811, 18822, 2614, 267, 547, 1294, 606, 3003, 1895, 540, 3595, 13219, 538, 513, 6908, 14860, 530, 9722, 593, 543, 1055, 538, 796, 2581, 563, 10376, 2249, 540, 3595, 12187, 814, 513, 8984, 8755, 4806, 602, 2337, 922, 5256, 543, 4775, 2043, 5431, 1142, 824, 269, 4107, 2249, 3132, 513, 3039, 880, 3917, 3641, 1769, 282, 835, 2249, 814, 513, 17824, 880, 1769, 269, 634, 9038, 8038, 543, 8755, 543, 1287, 2356, 19335, 8951, 4431, 609, 513, 8755, 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 ]
[ 0, 9223, 281, 634, 4432, 6665, 3465, 2917, 5152, 670, 895, 13928, 729, 8385, 2854, 827, 513, 888, 12585, 281, 717, 580, 23383, 454, 2704, 328, 1162, 281, 717, 580, 531, 578, 267, 717, 580, 23383 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 1015, 281, 11906, 22948, 910, 1323, 769, 5937, 3704, 6733, 693, 6206, 16610, 585, 2659, 14330, 2969, 11773, 692, 1015, 269, 272, 4985, 547, 11906, 22948, 692, 2026, 596, 5965, 585, 519, 14330, 2969, 267, 1620, 3114, 3157, 568, 14063, 1813, 547, 741, 7915, 4276, 547, 1480, 1072, 543, 2068, 269, 1452, 3157, 896, 12340, 1585, 6211, 9259, 1369, 938, 4703, 602, 616, 2565, 547, 1272, 32351, 269, 1635, 18167, 4514, 883, 891, 2035, 267, 596, 3513, 581, 1732, 9280, 547, 10994, 4101, 2055, 15054, 1282, 519, 981, 1247, 7393, 707, 2949, 8223, 540, 1979, 17190, 269, 901, 3184, 6212, 12799, 593, 1883, 3741, 4478, 11747, 737, 27282, 267, 32721, 267, 543, 6850, 322, 13511, 1107, 782, 4909, 3344, 540, 3114, 3157, 22317, 547, 2564, 2069, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 6481, 5441, 1520, 3939, 4530, 630, 10157, 2969, 264, 568, 513, 2629, 24182, 585, 14971, 2564, 1053, 267, 8647, 607, 513, 13387, 6514, 547, 6218, 741, 22026, 585, 2564, 1153, 269, 9717, 922, 4644, 538, 519, 2564, 1153, 23504, 1184, 267, 519, 1184, 540, 8600, 585, 713, 981, 1419, 6770, 827, 2799, 2157, 540, 2566, 543, 4160, 563, 3383, 267, 875, 547, 1353, 585, 519, 14330, 2969, 286, 4270, 267, 621, 779, 1898, 547, 5431, 519, 2956, 540, 7850, 7041, 543, 519, 1761, 2591, 621, 6770, 269, 4475, 267, 649, 2461, 1934, 547, 3391, 596, 998, 2500, 1353, 2994, 267, 2671, 4030, 689, 3811, 23078, 267, 543, 1683, 3407, 4388, 547, 18390, 6330, 519, 14330, 2969, 269, 2913, 779, 7832, 593, 713, 2619, 1927, 267, 7432, 1018, 949, 3100, 18447, 883, 513, 11295, 543, 3811, 7041, 1184, 563, 18893, 2711, 5530, 13979, 454, 288, 2151, 1324, 17284, 538, 519, 14330, 2969, 7569, 513, 1134, 2275, 2761, 539, 543, 10531, 1353, 1935, 269, 10670, 676, 3384, 10531, 15460, 3358, 547, 707, 9342, 543, 12755, 269, 1358, 786, 1583, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31367, 22948, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 14330, 2969, 630, 21357, 5441, 1520, 3939, 4530, 29215, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 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 ]
[ 0, 763, 2817, 31913, 585, 519, 19554, 540, 15571, 5562, 17904, 630, 301, 27558, 264, 568, 25461, 609, 3384, 543, 7598, 3435, 585, 519, 2922, 12871, 540, 14599, 3653, 538, 16848, 269, 769, 1840, 547, 519, 3896, 8940, 8542, 27558, 26716, 267, 519, 18756, 849, 8255, 513, 5816, 267, 538, 799, 519, 5520, 1867, 689, 741, 960, 1272, 543, 1683, 1344, 593, 519, 12871, 540, 14599, 3653, 269, 1306, 606, 7317, 3063, 267, 18491, 571, 30409, 654, 275, 6998, 547, 3142, 741, 834, 30394, 2284, 998, 3178, 543, 942, 257, 547, 1272, 269, 769, 713, 3460, 267, 8436, 666, 2263, 16848, 689, 2630, 519, 2627, 563, 301, 27558, 3177, 654, 275, 609, 519, 2679, 7161, 585, 519, 3460, 998, 3178, 543, 942, 269, 1635, 3274, 29957, 267, 519, 3593, 546, 1161, 883, 519, 9703, 540, 519, 4541, 17744, 676, 1298, 9014, 563, 288, 2186, 540, 1852, 8470, 2982, 3755, 875, 2484, 2630, 519, 2627, 789, 616, 267, 875, 2025, 519, 9757, 4224, 4494, 568, 543, 1018, 5210, 789, 1131, 1265, 972, 269, 2201, 519, 2451, 543, 1318, 540, 519, 16785, 11579, 7992, 883, 519, 6106, 540, 4224, 267, 519, 3593, 9060, 19347, 12449, 269, 1635, 14467, 593, 891, 12449, 267, 606, 1344, 2361, 10741, 909, 547, 1683, 2417, 4030, 593, 519, 13269, 7613, 267, 552, 3052, 269, 7725, 267, 7068, 610, 18840, 1670, 9060, 563, 2304, 1271, 1814, 518, 1756, 585, 519, 20185, 540, 519, 13941, 2985, 729, 602, 621, 666, 581, 10268, 593, 782, 3457, 269, 6787, 513, 18376, 7193, 610, 16335, 267, 3755, 666, 1491, 519, 3460, 998, 3178, 543, 942, 689, 16382, 789, 616, 269, 898, 1281, 711, 2339, 2436, 789, 946, 519, 20801, 8868, 540, 513, 10856, 610, 519, 9416, 593, 519, 5496, 540, 741, 5985, 3926, 563, 2171, 2125, 2572, 267, 2228, 8637, 267, 2890, 1606, 2572, 267, 3059, 6725, 267, 1514, 2923, 267, 590, 4932, 267, 543, 811, 910, 2201, 268, 710, 568, 519, 2104, 563, 1103, 519, 2085, 540, 5100, 11436, 267, 972, 568, 3592, 1100, 1259, 1472, 5985, 3156, 910, 7064, 547, 21236, 543, 15692, 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, 2026, 3425, 267, 649, 782, 917, 1018, 621, 7959, 899, 547, 1205, 4587, 543, 1995, 5957, 543, 15237, 936, 942, 269, 1284, 949, 1265, 6000, 23646, 1524, 267, 7680, 31191, 543, 24074, 267, 543, 17596, 811, 1964, 982, 649, 1705, 538, 938, 6107, 563, 3674, 621, 1022, 1114, 585, 938, 8305, 334, 1949, 286, 6496, 4496, 267, 13339, 267, 4837, 267, 12285, 267, 543, 782, 602, 4422, 883, 2679, 513, 1164, 1439, 8301, 1062, 1205, 8338, 936, 942, 888, 9617, 899, 519, 1480, 1560, 267, 5907, 3457, 723, 3334, 602, 666, 31358, 936, 942, 269, 4325, 5474, 616, 267, 540, 1576, 267, 519, 1034, 6654, 269, 28259, 338, 267, 29522, 267, 543, 782, 1346, 3001, 2694, 2085, 269, 769, 1249, 267, 782, 7344, 6127, 28201, 936, 942, 563, 2171, 2461, 782, 5432, 609, 519, 12159, 540, 29522, 267, 855, 2015, 602, 2413, 13339, 2861, 1949, 1332, 968, 1245, 892, 13974, 547, 875, 938, 12058, 1205, 12758, 543, 3500, 563, 8855, 1394, 547, 707, 21743, 1007, 2780, 610, 27317, 269, 2349, 5074, 3728, 585, 3833, 930, 942, 269, 3973, 267, 609, 10311, 543, 11690, 1231, 543, 946, 267, 649, 1205, 14887, 4393, 11250, 267, 3476, 4452, 2053, 267, 543, 2799, 18848, 950, 4881, 3292, 610, 3156, 563, 9617, 899, 3425, 949, 6560, 547, 1832, 909, 609, 519, 7569, 540, 2168, 2534, 607, 789, 2085, 267, 11418, 1419, 17932, 721, 607, 789, 2119, 547, 1832, 909, 609, 519, 7569, 540, 2413, 3301, 543, 2029, 563, 2005, 1522, 3100, 9490, 547, 10236, 14521, 1125, 519, 6191, 543, 2029, 649, 8818, 609, 855, 267, 607, 789, 1831, 811, 543, 811, 1950, 267, 789, 1831, 811, 543, 811, 968, 16058, 892, 538, 782, 6927, 563, 1103, 6984, 3478, 4587, 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 ]
[ 0, 769, 519, 2295, 540, 513, 12560, 267, 31394, 4104, 267, 2370, 15207, 729, 11303, 676, 26009, 4054, 543, 2571, 21263, 9944, 1010, 3952, 269, 1261, 3576, 513, 2620, 7362, 267, 1159, 2454, 519, 6653, 11100, 540, 32395, 543, 14927, 3037, 5645, 676, 513, 9543, 22090, 27128, 2842, 780, 257, 20755, 3240, 2437, 1572, 856, 513, 6263, 5639, 267, 834, 4754, 596, 1294, 875, 519, 7943, 23929, 998, 938, 21364, 24588, 8119, 898, 729, 645, 18443, 267, 513, 8049, 21956, 541, 945, 6068, 3695, 609, 15207, 780, 257, 8133, 267, 645, 18443, 256, 1656, 3884, 1405, 621, 5863, 875, 519, 1769, 2242, 519, 4778, 540, 891, 4190, 3552, 25154, 8119, 1767, 15207, 267, 15738, 547, 519, 7524, 18742, 2059, 741, 2619, 269, 1325, 23331, 267, 513, 8797, 2025, 22559, 829, 3481, 593, 513, 7936, 16841, 267, 8678, 741, 6643, 780, 2704, 23331, 4280, 267, 834, 12441, 596, 917, 267, 15210, 2828, 267, 602, 713, 7613, 4386, 1813, 547, 1945, 3744, 1289, 1201, 3555, 286, 1879, 7943, 16125, 519, 8768, 24968, 267, 621, 536, 1742, 543, 24508, 883, 1114, 4778, 15323, 2026, 789, 4797, 6972, 267, 789, 16686, 2390, 513, 30811, 8289, 1107, 513, 15999, 27033, 1941, 10627, 1117, 538, 7943, 269, 4173, 6986, 3043, 10359, 575, 548, 3139, 267, 1247, 1200, 13576, 812, 324, 17146, 2681, 899, 519, 3552, 25154, 789, 1185, 2938, 4505, 269, 2037, 577, 5896, 267, 15207, 7444, 6603, 856, 1010, 1688, 2509, 519, 13442, 269, 1809, 10393, 267, 1352, 8709, 1639, 2439, 289, 1168, 843, 1229, 267, 15207, 6743, 909, 693, 1325, 23331, 269, 2060, 513, 6616, 12837, 267, 1325, 23331, 6045, 267, 834, 300, 2814, 673, 7919, 1419, 14897, 950, 649, 2119, 547, 7001, 610, 1852, 873, 269, 3807, 899, 3843, 547, 1832, 513, 22774, 538, 513, 20220, 267, 930, 1919, 3112, 581, 8659, 3010, 11514, 1952, 31212, 267, 15207, 21330, 269, 4014, 646, 4769, 1405, 1205, 547, 5905, 519, 27033, 1941, 267, 6158, 547, 1325, 23331, 1500, 1864, 8275, 602, 2261, 12069, 9114, 782, 1472, 721, 267, 1256, 538, 4025, 649, 666, 1405, 3180, 5196, 269, 6884, 267, 1620, 519, 1412, 25585, 262, 2306, 7680, 519, 1412, 6343, 262, 1256, 811, 9589, 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, 1265, 3054, 538, 513, 32668, 267, 9589, 4104, 4904, 609, 26009, 4054, 543, 18932, 3039, 2044, 269, 634, 7943, 12086, 998, 519, 3762, 267, 16213, 546, 1952, 1194, 3270, 593, 519, 2571, 21263, 344, 2666, 269, 589, 9543, 30089, 11438, 519, 20416, 540, 5810, 543, 4195, 3618, 607, 621, 15309, 956, 519, 3762, 1657, 269, 901, 22539, 1747, 568, 1753, 547, 26704, 7068, 543, 3504, 11580, 7996, 547, 581, 4362, 780, 10817, 728, 803, 998, 713, 25386, 7045, 563, 2026, 596, 1491, 707, 1101, 3268, 883, 519, 4104, 267, 596, 5469, 519, 2011, 1472, 596, 7959, 9901, 609, 1648, 269, 1411, 1246, 513, 23090, 2619, 20898, 609, 7524, 3552, 25154, 267, 741, 24968, 695, 20810, 532, 609, 3352, 1938, 1417, 4778, 602, 3100, 547, 1689, 607, 596, 3802, 676, 269, 634, 5790, 568, 22471, 559, 267, 2943, 9800, 609, 519, 4992, 540, 2470, 910, 5017, 784, 267, 15309, 1782, 3762, 267, 543, 519, 11397, 3280, 540, 13576, 1216, 780, 306, 3019, 267, 596, 2097, 2066, 513, 21757, 1141, 513, 23836, 27033, 1941, 1178, 8240, 25678, 269, 4706, 10359, 1350, 626, 839, 899, 27081, 896, 519, 3141, 781, 12345, 267, 543, 922, 812, 324, 8928, 30780, 609, 1142, 3350, 269, 1306, 596, 1935, 267, 519, 796, 4815, 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, 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, 1, 1, 1, 1, 1, 1, 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, 3412, 332, 580, 7949, 12624, 543, 4173, 4132, 27778, 2405, 808, 476, 3192, 272, 282, 476, 272, 8222, 281, 4179, 2517, 8742, 3820, 270, 1015, 269, 13647, 277, 11486, 332, 329, 269, 272, 269, 6872, 275, 274, 269, 28510, 630, 13775, 476, 1789, 5130, 476, 3192, 272, 264, 25737, 713, 607, 281, 5696, 2405, 808, 476, 3192, 272, 282, 272, 281, 28510, 454, 268, 674, 269, 715, 269, 645, 600, 5112, 454, 763, 1072, 4220, 540, 476, 272, 267, 13932, 19366, 7489, 11299, 543, 741, 9002, 538, 17659, 5112, 941, 3379, 609, 1346, 540, 606, 6805, 1895, 689, 6188, 13011, 1239, 6394, 1063, 476, 3422, 276, 543, 476, 3422, 280, 269, 634, 3328, 1297, 540, 1453, 585, 3885, 538, 1142, 1895, 538, 476, 3422, 280, 941, 476, 274, 6440, 4029, 543, 476, 273, 6440, 3451, 267, 6606, 282, 476, 6246, 6440, 280, 260, 540, 476, 273, 267, 18684, 7489, 11299, 9447, 538, 476, 3422, 279, 268, 280, 1185, 1447, 982, 513, 835, 4458, 8884, 1063, 26691, 269, 769, 476, 3422, 276, 519, 829, 514, 7614, 9019, 3928, 585, 519, 1079, 2516, 941, 476, 4366, 6440, 277, 543, 476, 2918, 6440, 277, 267, 6606, 267, 6466, 538, 476, 3422, 280, 519, 7222, 5515, 941, 476, 2918, 6440, 279, 543, 476, 1839, 6440, 276, 267, 6606, 269, 9282, 519, 4220, 547, 14774, 543, 1126, 1072, 540, 1306, 2103, 616, 3152, 267, 7489, 3885, 616, 811, 7123, 543, 741, 1453, 723, 513, 811, 5150, 909, 32523, 982, 1875, 268, 2026, 1014, 1453, 269, 1717, 267, 7489, 1453, 991, 2799, 2825, 17003, 538, 2038, 6689, 547, 2061, 3872, 11393, 693, 513, 2663, 2085, 563, 16378, 369, 265, 9122, 593, 513, 1957, 1224, 693, 519, 16316, 11660, 20051, 540, 519, 3703, 6481, 5948, 267, 4498, 5766, 622, 267, 476, 3192, 271, 563, 19868, 538, 1210, 707, 27024, 543, 10957, 454, 19868, 538, 998, 707, 9872, 454, 14294, 909, 585, 513, 1863, 4693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1977, 8874, 946, 799, 14070, 1858, 3009, 538, 15146, 2338, 888, 12585, 281, 476, 27898, 454, 2704, 328, 1162, 281, 476, 27898, 267, 2947, 4627, 543, 15823, 19317 ]
[ 1, 1, 1, 1, 1, 1, 1, 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, 476, 274, 269, 273, 6657, 538, 5675, 10374, 24225, 338, 543, 29941, 692, 7072, 692, 8702, 547, 1016, 15492, 476, 274, 269, 273, 540, 938, 3689, 268, 17413, 700, 18235, 1837, 256, 1635, 713, 1448, 267, 596, 723, 1044, 5189, 547, 2596, 1603, 1983, 538, 700, 18235, 543, 723, 6591, 606, 1620, 540, 519, 17950, 540, 2854, 700, 18235, 8239, 543, 6863, 269, 3767, 621, 779, 942, 547, 2322, 1346, 1983, 883, 2259, 676, 13167, 23887, 543, 6209, 9433, 543, 5220, 269, 901, 1016, 15492, 786, 1683, 596, 609, 3255, 547, 4019, 1018, 596, 4076, 4121, 865, 2484, 998, 1585, 5751, 2966, 547, 7794, 707, 700, 18235, 1603, 5759, 780, 16240, 24225, 338, 692, 13640, 4588, 12856, 454, 288, 1134, 268, 24554, 539, 5037, 3335, 5161, 540, 1614, 1292, 3334, 281, 513, 2312, 4367, 610, 1888, 4845, 267, 5885, 3877, 267, 543, 513, 3932, 269, 634, 2606, 3948, 5036, 909, 519, 1292, 2856, 267, 4553, 676, 2963, 610, 3137, 602, 1020, 519, 2219, 2417, 269, 7053, 267, 519, 25759, 4845, 26564, 519, 1344, 4843, 543, 2488, 19479, 780, 19865, 476, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 5575, 268, 17413, 700, 18235, 267, 12059, 22588, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 24935, 543, 23016, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 274, 269, 5675, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 274, 269, 272, 269, 4985, 547, 2596, 1603, 1983, 538, 700, 18235, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 274, 269, 273, 269, 6657, 538, 1603, 2110, 9433, 543, 5220, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 763, 1543, 1058, 2832, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 538, 519, 1888, 269, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 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 ]
[ 0, 290, 2293, 5028, 5741, 8416, 476, 7430, 360, 11210, 486, 11210, 489, 5811, 540, 7352, 766, 609, 30654, 538, 5616, 25420, 476, 28374, 9463, 501, 420, 361, 505, 26033, 483, 28374, 12530, 361, 12530, 497, 12530, 354, 12530, 376, 7430, 488, 11210, 486, 7430, 367, 12530, 499, 11210, 352, 12530, 376, 12530, 487, 12530, 494, 12530, 481, 11210, 363, 454, 1103, 1169, 6389, 621, 568, 2565, 547, 3375, 1818, 547, 1174, 2436, 3604, 2291, 1063, 1079, 610, 811, 2516, 540, 1919, 610, 4093, 269, 769, 713, 1576, 596, 786, 1449, 585, 3604, 609, 519, 2290, 8862, 599, 30654, 2079, 540, 13065, 4480, 269, 1411, 786, 849, 1451, 875, 547, 1374, 519, 1449, 543, 4019, 12485, 865, 602, 596, 616, 2111, 547, 18390, 1867, 8579, 4644, 1063, 543, 1369, 2516, 952, 621, 6818, 269, 1280, 713, 1576, 267, 649, 786, 960, 2427, 8386, 20933, 538, 519, 1863, 3562, 14025, 3301, 5616, 25420, 563, 3528, 519, 1439, 540, 713, 1576, 267, 596, 786, 581, 2111, 547, 4019, 30654, 543, 2022, 554, 665, 4255, 1210, 1022, 22369, 3301, 543, 596, 786, 581, 2111, 547, 18390, 1867, 2157, 540, 8579, 4644, 538, 2516, 563, 9616, 281, 901, 1576, 1568, 1655, 585, 6267, 945, 616, 1759, 538, 519, 3345, 3013, 3148, 269, 1284, 2461, 4867, 2324, 593, 3246, 519, 1482, 1995, 538, 824, 4525, 19601, 26046, 540, 7352, 766, 609, 30654, 538, 5616, 25420, 16088, 476, 272, 910, 476, 275, 1315, 476, 275, 476, 12530, 361, 12530, 497, 12530, 354, 12530, 376 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21196, 272, 827, 875, 547, 7485, 17408, 1115, 689, 519, 12108, 2272, 692, 5814, 17408, 788, 344, 454, 4621, 10179, 318, 4486, 815, 834, 550, 1359, 519, 1883, 1934, 4840, 4621, 10179, 26000, 4038, 815, 834, 550, 1359, 519, 1883, 1934, 4840, 17739, 4671, 7505, 815, 834, 550, 1359, 519, 1883, 1934, 4840, 17739, 4671, 7505, 26000, 4038, 815, 834, 550, 1359, 519, 1883, 1934, 5016, 454, 5228, 17408, 788, 344, 269, 2246, 327, 1104, 29314, 3578, 21652, 2401, 454, 258, 17730, 519, 589, 3578, 8629, 454, 2246, 327, 815, 29314, 3578, 21652, 2401, 263, 4621, 10179, 318, 4486, 267, 7082, 26000, 4038, 994, 258, 30787, 519, 1569, 18351, 543, 5728, 454, 2246, 327, 15630, 318, 17739, 4671, 7505, 263, 17739, 4671, 7505, 267, 1569, 4671, 7505, 26000, 4038, 994, 258, 17730, 519, 16286, 1843, 1247, 8429, 538, 519, 1313, 327, 9623, 454, 777, 328, 815, 17408, 788, 344, 269, 4338, 296, 263, 2246, 327, 2020, 258, 14818, 532, 519, 16286, 547, 1205, 17408, 1115, 689, 1753, 15415, 267, 543, 13936, 621, 538, 1857, 4671, 933, 1115, 4756, 454, 21504, 4671, 933, 1115, 815, 3284, 328, 19544, 727, 4671, 574, 5202, 4590, 258, 19530, 532, 1142, 512, 11548, 454, 1721, 512, 11548, 538, 1857, 4671, 933, 1115, 912, 825, 1820, 630, 339, 11548, 269, 3667, 994, 3097, 258, 1607, 1058, 1820, 519, 1101, 476, 1428, 17408, 1115, 689, 707, 1753, 12108, 2272, 269, 8528, 258, 763, 1000, 7867, 3593, 945, 649, 1616, 547, 1205, 17408, 1115, 689, 454, 4067, 815, 834, 5500, 9392, 4840, 258, 10831, 540, 17408, 1115, 547, 7485, 454, 339, 11548, 15575, 815, 476, 736, 692, 258, 290, 16226, 519, 3593, 4671, 574, 1467, 1599, 609, 938, 4164, 338, 454, 29798, 815, 3284, 328, 269, 12528, 4671, 574, 5202, 263, 573, 284, 4067, 267, 1293, 284, 339, 11548, 15575, 2020, 258, 19530, 532, 782, 519, 17408, 1115, 630, 2690, 1142, 998, 782, 17408, 1115, 15504, 994, 1721, 512, 11548, 538, 2164, 912, 825, 1820, 6025, 11548, 269, 3667, 2020, 258, 1607, 1058, 1820, 519, 1101, 476, 736, 17408, 1115, 689, 562, 344, 9392, 12108, 2272, 269, 8528, 258, 2414, 3277, 547, 1808, 10305, 540, 1142, 512, 11548, 1843, 267, 649, 723, 547, 1413, 693, 519, 32227, 8120, 676, 519, 12108, 16286, 563, 258, 21196, 476, 273, 827, 25935, 1808, 10305, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7662, 568, 585, 513, 7097, 2328, 5346, 585, 1250, 476, 280, 1296, 2025, 8250, 585, 1200, 6264, 3803, 1107, 1857, 6340, 2680, 563, 763, 7097, 540, 519, 4633, 1058, 581, 1472, 476, 273, 268, 275, 332, 1231, 269, 594, 723, 8612, 476, 4335, 1913, 607, 513, 15378, 563, 763, 5856, 666, 5965, 519, 7097, 1759, 593, 23769, 5346, 1650, 607, 606, 1383, 855, 621, 1590, 4019, 547, 476, 279, 268, 280, 1296, 2025, 4819, 269, 898, 1590, 581, 1945, 15700, 267, 3407, 543, 1118, 513, 2462, 1764, 547, 2486, 269, 630, 328, 4318, 19969, 267, 8699, 267, 2186, 267, 16177, 543, 3092, 1040, 1284, 666, 2417, 1865, 593, 519, 3877, 2390, 10343, 540, 2709, 563, 307, 8084, 2433, 968, 2005, 3217, 513, 14316, 547, 1628, 513, 1126, 1848, 1284, 616, 782, 3710, 676, 519, 1004, 945, 723, 5280, 721, 538, 938, 1272, 269, 9523, 513, 4633, 547, 9684, 2576, 945, 814, 6462, 596, 547, 581, 945, 596, 616, 2221, 543, 1018, 666, 649, 1451, 689, 873, 630, 719, 2515, 707, 1920, 1916, 25456, 7291, 281, 5808, 814, 6462, 596, 547, 581, 945, 596, 616, 2221, 286, 901, 1223, 581, 707, 3610, 267, 19393, 267, 2828, 543, 811, 269, 630, 8448, 982, 707, 7525, 1920, 2818, 994, 273, 269, 9523, 721, 707, 1650, 593, 875, 713, 1268, 814, 1044, 5885, 596, 630, 1692, 814, 621, 12936, 596, 286, 994, 274, 269, 1215, 1131, 596, 9684, 713, 1268, 267, 952, 713, 1268, 568, 6947, 547, 707, 4633, 1631, 888, 275, 269, 1215, 798, 596, 1745, 827, 602, 888, 276, 269, 1548, 666, 596, 543, 519, 5304, 1451, 689, 713, 1268, 888, 277, 269, 1215, 666, 649, 948, 3565, 547, 1866, 286, 630, 1432, 666, 938, 1909, 581, 538, 519, 14316, 24047 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5620, 596, 2479, 4862, 827, 875, 1271, 621, 568, 547, 6432, 547, 1114, 8369, 2496, 7692, 281, 23010, 267, 594, 1589, 865, 269, 6145, 950, 1250, 3158, 12134, 803, 1018, 1250, 11078, 6499, 585, 1200, 14512, 1932, 267, 865, 649, 666, 1312, 3858, 2496, 8334, 281, 22549, 256, 2334, 781, 851, 540, 1945, 1572, 834, 322, 2753, 2486, 1701, 898, 1797, 1004, 4947, 1927, 547, 2671, 2093, 543, 960, 4724, 1455, 3853, 269, 1879, 811, 1004, 2911, 543, 6432, 267, 1732, 5079, 666, 581, 1500, 269, 2913, 803, 2285, 596, 1776, 1383, 269, 5994, 596, 543, 707, 2828, 1616, 547, 3442, 513, 1007, 19209, 547, 13793, 856, 693, 269, 1403, 3025, 8843, 741, 4555, 543, 1592, 839, 547, 1142, 824, 267, 596, 1522, 1265, 513, 1747, 602, 814, 3388, 596, 782, 899, 2439, 7692, 281, 7937, 9493, 1695, 256, 1656, 3006, 649, 1256, 1689, 938, 8186, 1310, 6217, 2576, 3116, 779, 2856, 780, 8334, 281, 25999, 256, 6884, 950, 649, 5873, 1007, 5380, 267, 789, 1118, 721, 1294, 1919, 8335, 269, 901, 2337, 721, 1332, 543, 1451, 269, 3767, 267, 4952, 952, 3025, 1152, 25374, 827, 2933, 543, 4769, 1405, 2628, 3007, 547, 4896, 3116, 269, 14348, 602, 581, 4023, 610, 1187, 2496, 7692, 281, 3143, 1259, 256, 2334, 1131, 581, 19309, 267, 543, 18864, 1131, 1205, 2059, 780, 8334, 281, 9406, 256, 1924, 950, 649, 5968, 16175, 543, 2015, 2299, 267, 649, 1711, 513, 6793, 2146, 1141, 3025, 7959, 12595, 269, 3807, 1832, 538, 2247, 602, 711, 782, 7391, 1291, 2786, 547, 3501, 3435, 269, 4658, 991, 942, 547, 1589, 543, 1865, 1354, 4466, 519, 1655, 4781, 269, 6496, 602, 1118, 2631, 2496, 7692, 281, 962, 788, 256, 9877, 320, 899, 950, 649, 723, 513, 2182, 2979, 1966, 267, 543, 6158, 998, 621, 1900, 676, 1900, 2337, 721, 4194, 621, 780, 8334, 281, 22549, 256, 6153, 2816, 1210, 602, 21658, 267, 7585, 269, 7464, 1944, 875, 938, 3527, 1921, 547, 8273, 2035, 786, 948, 596, 1174, 519, 1158, 1732, 269, 9442, 543, 9316, 616, 1898, 2694, 540, 2679, 513, 1390, 2486, 269, 5901, 8026, 6947, 547, 1866, 267, 4687, 707, 4555, 1135, 7019, 267, 543, 2324, 1927, 22924, 2306, 513, 5458, 3017, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 2753, 2486, 568, 21739, 1759, 593, 519, 20049, 540, 2093, 543, 519, 18515, 547, 5077, 543, 28111, 269, 1306, 570, 665, 4302, 6807, 4967, 267, 3540, 2486, 568, 513, 3844, 4183, 540, 11180, 1272, 630, 307, 665, 4302, 6807, 476, 3422, 275, 264, 1317, 621, 2488, 4961, 513, 1259, 547, 6882, 543, 13217, 741, 2093, 267, 607, 1134, 607, 20834, 1125, 1866, 585, 519, 3483, 540, 12018, 2797, 4093, 269, 769, 29355, 9111, 267, 513, 2178, 3540, 2486, 3413, 3581, 606, 5044, 540, 13057, 9739, 543, 3609, 3681, 585, 519, 1533, 543, 16877, 3838, 4690, 630, 293, 880, 7219, 476, 1001, 279, 1040, 1323, 5385, 540, 2093, 568, 3976, 4909, 547, 519, 13172, 545, 540, 1719, 5250, 543, 4254, 16478, 269, 2201, 519, 824, 1688, 267, 519, 1857, 2470, 540, 3540, 2486, 4093, 3340, 513, 1305, 540, 840, 1718, 1431, 602, 1131, 27985, 3049, 883, 267, 952, 711, 2047, 1267, 538, 513, 1175, 543, 12581, 3609, 6364, 269, 27814, 267, 5483, 16752, 1058, 581, 22121, 609, 606, 3750, 547, 519, 1857, 1434, 267, 538, 519, 18916, 540, 1018, 570, 665, 4302, 6807, 1572, 2048, 1345, 29027, 1318, 569, 6956, 10200, 1809, 711, 1169, 5385, 568, 18064, 5028, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25787, 1315, 4317, 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 ]
[ 0, 307, 12447, 3220, 650, 23227, 566, 454, 5522, 16558, 1796, 6587, 835, 1776, 538, 519, 3028, 10833, 543, 1404, 519, 1448, 856, 563, 4913, 267, 713, 942, 267, 519, 3440, 1590, 581, 5734, 1524, 883, 519, 5480, 865, 602, 621, 536, 25555, 593, 519, 6345, 781, 1378, 2427, 1354, 621, 4422, 936, 519, 2121, 630, 3697, 538, 3349, 17281, 1040, 634, 3440, 3112, 4061, 25483, 1354, 519, 15852, 6345, 2306, 3346, 609, 621, 2933, 563, 32622, 666, 581, 5129, 909, 547, 476, 2641, 538, 713, 1259, 563, 1607, 786, 1745, 9490, 547, 1034, 5716, 607, 621, 568, 519, 6587, 540, 875, 17281, 568, 5129, 269, 1717, 5716, 1058, 4166, 1205, 519, 13793, 540, 621, 543, 1434, 2798, 666, 581, 9112, 689, 4730, 538, 713, 1259, 563, 2005, 7512, 5716, 547, 1205, 547, 519, 3440, 607, 2038, 607, 789, 7654, 666, 267, 607, 621, 568, 15069, 4443, 547, 5734, 621, 1524, 952, 789, 3914, 519, 3440, 2038, 563, 5522, 16558, 786, 1265, 621, 9875, 547, 798, 713, 593, 519, 1394, 8518, 2427, 1813, 547, 21015, 543, 6186, 4222, 865, 789, 666, 1847, 1472, 547, 5734, 811, 1055, 519, 2062, 8518, 13617, 952, 789, 6999, 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 ]
[ 0, 258, 16789, 7533, 692, 1892, 4924, 476, 2918, 628, 476, 1001, 271, 267, 476, 6734, 281, 1428, 6751, 454, 7251, 5586, 754, 776, 454, 574, 27393, 7533, 454, 10674, 2517, 327, 342, 269, 4118, 269, 1075, 338, 321, 12975, 270, 19986, 1740, 270, 4118, 1862, 13136, 5379, 278, 19112, 272, 3052, 604, 692, 810, 1384, 10674, 2517, 327, 342, 269, 4118, 269, 1075, 338, 321, 12975, 270, 19986, 1740, 270, 4118, 1862, 13136, 5379, 278, 19112, 274, 3052, 604, 692, 296, 917, 596, 2811, 9277, 547, 1491, 519, 3970, 540, 519, 29398, 267, 855, 594, 6415, 2348, 8373, 3478, 3323, 563, 21413, 519, 7182, 267, 594, 1336, 519, 22543, 9548, 7533, 547, 581, 476, 1321, 541, 551, 534, 4433, 5720, 3287, 4297, 1341, 290, 454, 1892, 4924, 476, 2918, 628, 476, 1001, 271, 267, 476, 6734, 281, 1839, 6751, 454, 298, 10961, 19981, 454, 6202, 621, 4780, 2471, 267, 855, 596, 1810, 1405, 991, 547, 8237, 621, 883, 1079, 29398, 267, 1175, 2322, 4399, 6234, 1535, 284, 339, 317, 273, 269, 14204, 1892, 4924, 476, 2918, 628, 476, 1001, 271, 267, 476, 6734, 281, 4029, 6751, 454, 7251, 5586, 754, 776, 454, 32621, 1384, 23192, 17397, 676, 918, 10961, 19981, 454, 6202, 621, 4780, 2471, 267, 855, 596, 1810, 1405, 991, 547, 8237, 621, 883, 1079, 29398, 267, 1175, 2322, 4399, 6234, 1535, 284, 339, 317, 273, 269, 6911, 296, 6415, 1869, 11821, 269, 875, 1131, 602, 960, 286, 630, 23175, 321, 836, 994, 1892, 4924, 476, 2918, 628, 476, 1001, 271, 267, 476, 6734, 281, 3953, 6751, 454, 298, 10961, 19981, 454, 1492, 18839, 286, 1175, 4019, 621, 267, 666, 596, 1397, 1018, 798, 596, 1205, 888, 1892, 4924, 476, 2918, 628, 476, 1001, 271, 267, 476, 6734, 281, 5655, 6751, 454, 7251, 5586, 754, 776, 454, 3286, 1016, 6883, 621, 538, 1131, 1175, 2285, 4399, 6234, 1422, 842, 21702, 346, 277, 2410, 339, 263, 272, 266, 339, 317, 273, 264, 4151, 1131, 621, 711, 888, 1892, 4924, 476, 2918, 628, 476, 1001, 271, 267, 476, 6734, 281, 6246, 6751, 454, 298, 10961, 19981, 454, 7224, 621, 781, 4636, 267, 2119, 1586, 267, 519, 2076, 8681, 814, 632, 818, 551, 836, 550, 1106, 563, 1892, 4924, 476, 2918, 628, 476, 1001, 271, 267, 476, 6734, 281, 7906, 6751, 454, 7251, 5586, 754, 776, 454, 810, 519, 7533, 1131, 581, 4399, 6234, 476, 1321, 541, 551, 534, 6025, 11924, 290, 259, 799, 568, 3160, 547, 4399, 6234, 476, 1321, 541, 551, 534, 7268, 6912, 3287, 4297, 266, 290, 259, 1318, 2496, 8117, 1310, 4466, 519, 7533, 267, 1018, 798, 596, 798, 1985, 547, 1265, 519, 17386, 1871, 689, 476, 271, 547, 20581, 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 ]
[ 0, 9223, 281, 8210, 514, 729, 811, 7255, 827, 606, 3968, 982, 15576, 27444, 1317, 9041, 1185, 513, 4057, 4761, 1062, 563, 271, 269, 8210, 514, 454, 272, 269, 15576, 27444, 454, 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 ]
[ 0, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 24998, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 692, 5035, 8827, 24998, 2187, 825, 1219, 1377, 24576, 289, 18847, 4311, 267, 3597, 2187, 1038, 8173, 1038, 2433, 6943, 3597, 281, 30741, 454, 1038, 2433, 337, 6943, 281, 5903, 314, 8266, 27776, 27663, 1038, 8173, 1038, 952, 3597, 2652, 7183, 281, 2132, 7183, 28329, 1038, 1267, 267, 20313, 815, 1496, 3910, 10070, 19709, 4302, 4590, 1038, 20313, 6910, 20172, 994, 1038, 1247, 20313, 912, 2018, 20313, 28747, 815, 7003, 263, 28255, 994, 2018, 1377, 815, 11713, 2018, 585, 1775, 538, 2039, 263, 28255, 28747, 2187, 3546, 1699, 815, 20313, 4877, 963, 1111, 4590, 3546, 1377, 6910, 263, 9690, 22183, 994, 3546, 952, 1699, 16000, 281, 20313, 6910, 263, 9690, 16000, 994, 3546, 952, 1699, 16192, 281, 20313, 6910, 263, 9690, 16192, 994, 2018, 1267, 6910, 263, 24038, 994, 27030, 1038, 2132, 1267, 11468, 18737, 272, 316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 513, 14297, 4884, 1572, 3883, 6807, 267, 972, 5030, 6266, 540, 7874, 1433, 3197, 945, 5249, 1927, 547, 1711, 5863, 2984, 269, 2290, 1554, 267, 789, 7691, 602, 741, 3659, 267, 25927, 1807, 3828, 580, 267, 729, 7508, 256, 9453, 1200, 267, 9039, 540, 519, 2835, 1223, 2671, 741, 8941, 3564, 3883, 6807, 269, 1358, 2877, 547, 1265, 513, 1259, 547, 948, 25927, 1807, 3828, 698, 3533, 780, 10501, 1190, 9697, 267, 519, 5100, 652, 3032, 538, 4884, 267, 6700, 10478, 585, 25927, 1807, 3828, 580, 676, 3168, 883, 1169, 2582, 2985, 267, 17835, 267, 543, 562, 809, 538, 3883, 14539, 11206, 1107, 1753, 547, 782, 10002, 21242, 2984, 269, 2701, 6785, 4010, 1018, 547, 798, 1317, 1352, 1185, 4121, 875, 547, 946, 3532, 2645, 689, 519, 8797, 15306, 26449, 269, 30985, 9697, 3838, 1200, 1544, 609, 519, 14221, 19619, 1384, 20442, 666, 946, 938, 9589, 1907, 1572, 1412, 294, 516, 3899, 10086, 799, 6487, 519, 5728, 1893, 540, 5022, 2437, 6045, 30985, 9697, 269, 834, 2005, 19707, 2620, 3330, 1142, 3758, 267, 1256, 1346, 15720, 538, 1016, 19507, 619, 267, 6998, 952, 789, 917, 4376, 827, 25927, 1807, 3828, 580, 3010, 4415, 1390, 10761, 267, 667, 2130, 13928, 4280, 267, 834, 3719, 875, 1131, 649, 917, 952, 13983, 3899, 1336, 1945, 12482, 10501, 1190, 9697, 20493, 543, 4797, 267, 834, 11039, 267, 15210, 667, 2130, 13928, 267, 2899, 13983, 3899, 25173, 4267, 267, 1776, 15931, 14609, 344, 3957, 654, 4650, 2337, 1293, 891, 6114, 585, 721, 10590, 1656, 865, 789, 24389, 593, 741, 3460, 998, 3883, 14539, 11206, 267, 669, 13589, 741, 11963, 1384, 8199, 294, 516, 3899, 910, 2196, 3728, 267, 1413, 2484, 543, 2647, 2676, 15507, 1164, 543, 1970, 267, 1577, 1100, 23319, 12404, 2336, 310, 4650, 910, 24963, 5531, 1142, 16253, 2676, 15575, 873, 1134, 1354, 938, 4064, 563, 7884, 2026, 789, 31372, 3461, 569, 267, 15691, 547, 1294, 4191, 540, 25927, 1807, 3828, 580, 267, 654, 4650, 9307, 519, 2164, 281, 834, 2467, 941, 476, 21172, 26866, 619, 4862, 2066, 519, 4104, 267, 16079, 532, 519, 2012, 540, 938, 11537, 25927, 1807, 3828, 580, 10590, 1809, 950, 789, 6743, 1472, 267, 25927, 1807, 3828, 580, 7283, 24076, 538, 8289, 780, 306, 19488, 267, 513, 25861, 22090, 704, 14612, 9900, 998, 519, 2842, 267, 6031, 267, 834, 14188, 596, 267, 2828, 269, 594, 993, 1934, 267, 2141, 13057, 707, 1913, 267, 1318, 1369, 707, 12271, 1701, 2060, 17229, 543, 7772, 267, 3025, 6956, 602, 25927, 1807, 3828, 580, 7012, 1405, 4503, 282, 2864, 267, 1352, 11478, 538, 1169, 8144, 2813, 676, 519, 10103, 540, 11505, 543, 5698, 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, 1082, 20825, 540, 519, 2262, 834, 10520, 3175, 257, 616, 972, 538, 782, 519, 6119, 4092, 538, 519, 834, 1504, 7272, 889, 7667, 257, 15682, 543, 922, 1016, 29715, 1559, 2496, 326, 10517, 910, 337, 834, 10520, 3175, 257, 9625, 270, 1504, 7272, 889, 7667, 270, 265, 1923, 530, 322, 910, 331, 454, 1607, 4971, 786, 3406, 16571, 1947, 585, 519, 2262, 834, 10520, 3175, 257, 538, 782, 6119, 896, 519, 15682, 834, 1504, 7272, 889, 7667, 257, 543, 922, 1016, 29715, 1559, 269, 634, 3977, 540, 713, 4971, 786, 581, 10398, 539, 547, 519, 2387, 342, 322, 910, 331, 319, 4971, 547, 1293, 519, 1297, 540, 3515, 267, 799, 786, 2285, 721, 519, 1297, 540, 20825, 540, 519, 2262, 834, 10520, 3175, 257, 538, 782, 519, 6119, 1384, 8199, 326, 10517, 910, 337, 834, 10520, 3175, 257, 9625, 270, 1504, 7272, 889, 7667, 270, 265, 1923, 530, 322, 910, 331, 454, 7884, 9616, 602, 713, 17648, 602, 519, 6119, 538, 519, 15682, 543, 922, 1016, 29715, 1559, 616, 1257, 6119, 543, 711, 9352, 6119, 269, 1403, 972, 616, 9352, 6119, 538, 519, 15682, 267, 519, 2387, 326, 10517, 319, 4971, 949, 711, 960, 607, 4397, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10789, 476, 272, 281, 5871, 11759, 630, 1428, 628, 9990, 2020, 7445, 2765, 346, 339, 3867, 1556, 12453, 2767, 332, 3867, 273, 3686, 14204, 2691, 12270, 23055, 609, 519, 1482, 3490, 267, 649, 10208, 519, 23055, 543, 1832, 519, 1482, 3490, 281, 1269, 274, 3867, 273, 910, 476, 276, 348, 332, 3867, 276, 910, 476, 278, 348, 339, 3867, 277, 910, 11196, 276, 264, 4151, 16265, 847, 519, 23055, 281, 1269, 274, 13064, 274, 348, 332, 13064, 273, 348, 339, 3867, 1556, 4151, 1284, 3112, 4734, 519, 2626, 713, 1259, 609, 2942, 23055, 269, 2060, 2942, 23055, 267, 649, 1847, 519, 13279, 883, 519, 14009, 267, 799, 786, 1118, 519, 23055, 2318, 281, 4399, 2765, 346, 339, 3867, 1556, 12453, 274, 3867, 274, 348, 332, 3867, 273, 22288, 22217, 1518, 281, 4399, 2765, 346, 339, 3867, 1556, 12453, 2767, 332, 3867, 273, 22288 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 782, 917, 875, 1271, 621, 568, 585, 1053, 547, 4487, 741, 2979, 5013, 269, 19663, 909, 519, 1152, 4781, 594, 1185, 585, 1565, 2979, 5013, 729, 15460, 269, 2755, 713, 1568, 585, 930, 267, 594, 1336, 602, 594, 8057, 547, 13842, 8026, 1250, 5013, 269, 898, 5433, 899, 17444, 4522, 269, 3767, 267, 594, 917, 875, 1271, 621, 568, 547, 11291, 891, 5013, 5612, 269, 898, 786, 948, 1118, 1053, 811, 3608, 543, 2087, 741, 2702, 547, 4194, 811, 1950, 2042, 563, 3086, 12997, 267, 1053, 630, 663, 3237, 264, 616, 18822, 602, 972, 616, 1082, 1187, 8924, 547, 5351, 538, 13215, 12408, 267, 1840, 267, 8691, 267, 543, 6498, 5013, 269, 594, 4076, 16432, 513, 1592, 540, 1250, 5172, 17676, 2979, 5013, 8924, 563, 306, 25775, 30947, 630, 294, 10232, 476, 273, 268, 275, 994, 306, 25775, 30947, 568, 513, 3014, 585, 1053, 547, 2259, 543, 8831, 2979, 1249, 21711, 269, 901, 813, 18791, 7580, 7744, 585, 1840, 543, 8691, 269, 898, 568, 513, 3728, 533, 3166, 543, 2502, 3014, 563, 293, 3224, 18007, 568, 513, 1982, 2966, 547, 1683, 1053, 609, 13261, 2259, 538, 2979, 543, 1893, 6575, 269, 594, 1223, 979, 593, 543, 593, 827, 713, 813, 630, 663, 594, 786, 538, 513, 5816, 2022, 4947, 4166, 1040, 1280, 2979, 5301, 267, 713, 3301, 814, 513, 10368, 840, 23150, 602, 5849, 1053, 1376, 693, 519, 1318, 1377, 543, 616, 1287, 2111, 547, 1582, 1790, 864, 269, 1703, 568, 513, 2979, 1249, 2259, 602, 1053, 666, 798, 547, 7118, 11113, 269, 898, 12211, 1840, 547, 12408, 543, 8691, 547, 6498, 269, 594, 2154, 1053, 547, 2347, 835, 5180, 540, 2979, 1249, 2259, 1354, 789, 2253, 2324, 593, 741, 1582, 19550, 6437, 269, 2353, 540, 519, 1239, 10356, 1247, 1053, 946, 519, 813, 568, 2322, 883, 513, 4116, 21686, 4580, 799, 568, 7745, 1524, 676, 1142, 5578, 543, 2982, 1142, 1053, 685, 3356, 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, 1627, 269, 476, 275, 269, 272, 692, 16240, 543, 21344, 606, 17817, 281, 634, 10395, 755, 542, 540, 513, 12539, 1700, 22134, 4088, 1700, 23682, 4723, 3281, 895, 692, 299, 18612, 2468, 26120, 28340, 568, 1031, 607, 513, 19857, 543, 5068, 6500, 585, 24064, 2643, 543, 4874, 675, 628, 2033, 15229, 269, 3503, 513, 7059, 3114, 3830, 585, 519, 13674, 540, 713, 7623, 538, 513, 726, 550, 3814, 3761, 540, 5135, 269, 589, 3440, 7146, 3613, 1157, 2203, 540, 2468, 26120, 28340, 568, 3254, 1934, 780, 1012, 7638, 1881, 8827, 692, 22860, 2763, 692, 2171, 17429, 576, 519, 4542, 540, 2468, 26120, 28340, 689, 519, 7636, 2203, 269, 630, 8269, 518, 547, 519, 2681, 10325, 2016, 593, 519, 3330, 1394, 3382, 4700, 1284, 1294, 476, 277, 595, 8444, 630, 18872, 1070, 476, 275, 744, 8444, 630, 1042, 1070, 543, 476, 1691, 670, 8444, 269, 634, 4542, 568, 1269, 290, 3709, 277, 348, 295, 3709, 1691, 348, 302, 3709, 275, 23201, 1879, 513, 3327, 1700, 5139, 4088, 1700, 2135, 4723, 7623, 568, 14616, 538, 4430, 5135, 267, 1269, 302, 3709, 273, 20954, 519, 2472, 616, 1269, 4596, 3709, 273, 4151, 543, 1269, 295, 3709, 273, 348, 302, 16859, 24169, 692, 16352, 4857, 519, 2746, 1218, 543, 2472, 267, 649, 2328, 1524, 606, 796, 29446, 3114, 4082, 585, 519, 5114, 267, 6029, 782, 2746, 1218, 543, 2472, 267, 543, 1287, 649, 3666, 519, 4082, 609, 2463, 547, 1142, 2186, 540, 11046, 692, 28275, 4082, 281, 1109, 14632, 1269, 290, 3709, 277, 348, 295, 3709, 1691, 348, 302, 3709, 275, 348, 1341, 744, 3709, 273, 348, 9890, 2910, 3709, 273, 348, 1341, 670, 3709, 273, 348, 302, 6911, 25911, 766, 595, 281, 1109, 7545, 5231, 1269, 290, 3709, 277, 348, 295, 3709, 1691, 348, 302, 3709, 275, 348, 1341, 744, 3709, 273, 348, 9890, 476, 277, 2910, 3709, 273, 348, 1341, 670, 3709, 273, 348, 302, 6911, 25911, 766, 670, 281, 1109, 7545, 5231, 1269, 290, 3709, 277, 348, 295, 3709, 1691, 348, 302, 3709, 275, 348, 1341, 744, 3709, 273, 348, 9890, 476, 277, 2910, 3709, 273, 348, 1341, 476, 278, 670, 3709, 273, 348, 302, 6911, 4263, 713, 1448, 267, 519, 1318, 2427, 540, 519, 4082, 814, 476, 866, 744, 8444, 630, 1321, 538, 3670, 1269, 4596, 3709, 273, 4151, 6675, 543, 476, 278, 538, 5722, 1269, 295, 3709, 273, 348, 302, 259, 6675, 1070, 543, 519, 2451, 2427, 267, 1152, 476, 275, 744, 8444, 630, 514, 1269, 290, 3709, 277, 348, 295, 3709, 1691, 348, 302, 3709, 275, 4151, 1040, 1677, 3489, 476, 1428, 811, 744, 8444, 3340, 513, 27847, 11664, 540, 476, 1428, 270, 273, 585, 1269, 302, 3709, 273, 31859, 25911, 766, 744, 281, 1109, 14632, 1269, 290, 3709, 277, 348, 295, 3709, 1691, 348, 302, 3709, 275, 348, 1341, 1422, 2765, 346, 1428, 2410, 273, 348, 302, 3709, 273, 348, 9890, 476, 277, 2910, 3709, 273, 348, 1341, 476, 278, 670, 3709, 273, 348, 302, 259, 1109, 30336, 1109, 263, 29446, 2020, 2414, 4894, 519, 27847, 11664, 267, 9062, 782, 14170, 676, 1079, 1384, 273, 1269, 290, 3709, 277, 348, 295, 3709, 1691, 348, 302, 3709, 275, 348, 1341, 476, 1428, 744, 3709, 273, 348, 9890, 476, 1321, 2910, 3709, 273, 348, 1341, 476, 1691, 670, 3709, 273, 348, 302, 259, 1109, 29894, 14632, 630, 29446, 2020, 10112, 612, 692, 2414, 2638, 602, 519, 3830, 568, 7059, 267, 3313, 519, 2338, 540, 595, 267, 670, 267, 543, 744, 8444, 602, 2408, 593, 519, 1142, 2427, 540, 519, 3830, 780, 29381, 281, 1109, 7545, 630, 273, 6398, 476, 277, 264, 815, 476, 1321, 595, 282, 1109, 5231, 630, 273, 6398, 476, 1691, 264, 815, 476, 2764, 670, 282, 1109, 30336, 1109, 27007, 273, 6398, 476, 275, 264, 1341, 630, 1428, 6398, 476, 273, 13580, 815, 476, 4343, 744, 692, 14738, 281, 1109, 5231, 630, 1321, 6398, 476, 272, 264, 815, 476, 1321, 595, 282, 1109, 5231, 630, 1691, 6398, 476, 273, 264, 815, 476, 2764, 670, 282, 1109, 5231, 27883, 1321, 6398, 476, 273, 264, 1341, 630, 1691, 6398, 476, 272, 13580, 815, 476, 4343, 744 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4183, 1058, 581, 1031, 5402, 1317, 621, 12857, 519, 7872, 540, 14069, 13297, 6285, 593, 707, 3135, 952, 621, 568, 1031, 16789, 569, 563, 288, 3044, 6882, 5932, 513, 6476, 1063, 519, 1543, 540, 513, 6241, 538, 707, 6538, 543, 513, 5569, 1871, 3177, 676, 519, 3593, 269, 1879, 596, 946, 513, 3044, 6882, 267, 519, 31316, 564, 15824, 930, 1085, 745, 25290, 267, 676, 4180, 602, 519, 6241, 6818, 538, 519, 6538, 267, 10992, 922, 1826, 543, 4180, 602, 519, 5569, 3177, 676, 519, 3593, 568, 4570, 585, 602, 1826, 630, 10472, 568, 3226, 1271, 585, 7303, 14069, 13297, 609, 25948, 9587, 1040, 1403, 519, 6241, 3085, 1405, 2291, 267, 519, 31316, 564, 25001, 606, 5470, 602, 596, 666, 3362, 6952, 543, 6023, 609, 707, 3135, 17253, 5470, 1688, 2401, 563, 763, 6422, 6882, 3079, 5932, 513, 6476, 1063, 519, 9115, 540, 835, 6538, 6241, 543, 513, 21055, 1871, 596, 1683, 267, 799, 666, 581, 2901, 1776, 6241, 538, 707, 6538, 610, 621, 1223, 581, 513, 4542, 267, 3092, 269, 901, 2636, 596, 547, 1685, 930, 4247, 602, 1131, 6382, 1711, 6959, 543, 711, 14892, 519, 13214, 952, 596, 1031, 513, 3044, 6882, 563, 291, 29174, 12086, 616, 2813, 676, 4259, 519, 834, 323, 29174, 257, 3959, 540, 519, 6882, 1843, 547, 3020, 610, 676, 4946, 6422, 284, 25152, 547, 519, 7440, 540, 519, 3948, 781, 6882, 3890, 1505, 269, 1703, 568, 1100, 13418, 1599, 585, 2870, 6422, 12086, 269, 7201, 1100, 6381, 1058, 596, 2479, 1450, 3593, 23418, 29736, 1239, 547, 4283, 519, 1543, 540, 513, 6422, 6882, 269, 1403, 596, 991, 547, 1450, 3755, 547, 3761, 1344, 602, 786, 1831, 851, 540, 513, 6422, 6882, 596, 1590, 1101, 2327, 602, 519, 1871, 519, 3593, 13859, 568, 851, 540, 513, 1634, 1592, 540, 11807, 2418, 585, 707, 6422, 6882, 563, 283, 22396, 27771, 285, 12262, 1205, 519, 7635, 1830, 546, 338, 815, 7662, 6185, 1092, 293, 14072, 564, 10947, 291, 21648, 1830, 3890, 282, 12262, 1628, 513, 2824, 3948, 593, 519, 1587, 3349, 588, 31198, 815, 546, 338, 10947, 15675, 2891, 265, 14824, 339, 4565, 29410, 605, 323, 257, 5148, 12262, 6443, 519, 7121, 3349, 588, 31198, 12459, 7765, 2891, 339, 4565, 29410, 32051, 3032, 257, 5148, 12262, 1152, 2824, 2472, 1141, 12262, 519, 1587, 11288, 1505, 568, 519, 1482, 607, 12262, 519, 9949, 11288, 1505, 585, 519, 7121, 588, 31198, 8807, 559, 614, 263, 26383, 6889, 3333, 6235, 19686, 2839, 2580, 1543, 6889, 13906, 11075, 6235, 19686, 2839, 2580, 6422, 284, 25152, 5148, 21742, 22396, 27771, 285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 301, 5847, 30283, 1257, 950, 621, 2501, 547, 3246, 1344, 267, 855, 875, 20585, 938, 1158, 1131, 581, 1510, 519, 11052, 602, 814, 1044, 513, 851, 540, 12326, 689, 519, 4098, 269, 634, 1360, 1101, 1433, 2479, 3370, 267, 519, 717, 9790, 6199, 6426, 267, 3568, 27610, 12383, 267, 1739, 513, 2245, 540, 971, 15022, 3512, 566, 602, 6905, 547, 4529, 782, 1472, 519, 1158, 543, 814, 16768, 547, 2221, 779, 1007, 3059, 5420, 563, 763, 12449, 6119, 649, 946, 593, 519, 5680, 723, 1831, 865, 24819, 602, 621, 779, 2352, 547, 4952, 711, 2348, 873, 269, 8950, 12449, 267, 1498, 267, 616, 5266, 1007, 269, 1358, 12090, 693, 20037, 950, 513, 2875, 3957, 25909, 590, 9801, 1633, 1031, 513, 1769, 4050, 547, 2721, 3615, 547, 513, 2780, 538, 476, 3422, 271, 269, 634, 1826, 540, 3239, 646, 2813, 568, 1634, 607, 513, 6152, 8642, 269, 898, 779, 1572, 713, 1317, 519, 3239, 568, 2813, 998, 10321, 610, 10092, 1063, 28879, 6508, 2780, 2798, 267, 543, 6417, 676, 12981, 9783, 3842, 606, 3498, 540, 930, 1106, 269, 2480, 531, 762, 21070, 29093, 630, 306, 309, 294, 1070, 12286, 538, 1896, 11271, 2429, 713, 1433, 267, 568, 606, 1383, 540, 713, 1826, 540, 8642, 563, 5194, 1826, 540, 8642, 568, 519, 3787, 14090, 267, 610, 678, 2120, 267, 8642, 269, 9521, 519, 6152, 267, 678, 2120, 12449, 2874, 540, 513, 1305, 540, 2798, 610, 15956, 267, 1142, 5627, 2681, 543, 824, 1344, 269, 634, 4122, 9648, 29093, 3955, 4219, 14474, 630, 294, 9281, 1070, 17434, 7353, 4919, 20226, 6828, 630, 297, 303, 9680, 1070, 543, 5800, 762, 8416, 29093, 630, 303, 7582, 264, 616, 782, 1806, 540, 713, 1826, 540, 8642, 563, 28885, 12449, 883, 1357, 3817, 3357, 827, 1317, 540, 835, 2241, 14103, 3693, 281, 519, 22558, 294, 3693, 267, 3267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6904, 4670, 729, 1759, 593, 519, 1650, 634, 13329, 514, 601, 676, 14880, 595, 22548, 651, 888, 12585, 281, 476, 1220, 272, 281, 589, 6611, 31660, 454, 2704, 328, 1162, 281, 476, 1220, 272, 589, 6611, 31660, 267, 476, 1220, 272, 281, 589, 2230, 5212, 525, 8124, 267, 476, 1220, 272, 281, 288, 6611, 31660, 267, 476, 1220, 272, 14505, 267, 476, 1220, 272, 910, 589, 6611, 31660, 267, 476, 1220, 272, 281, 589, 6611, 31660, 267, 476, 1220, 272, 6611, 13095, 9188, 8124, 267, 476, 1220, 272, 589, 6611, 744, 9188, 8124, 267, 476, 1220, 272, 589, 2230, 27356, 8124, 267, 476, 1220, 272, 513, 2230, 27356, 8124, 267, 476, 1220, 272, 281, 589, 6611, 744, 1372, 903, 1910, 267, 589, 6611, 27356, 8124, 267, 589, 2230, 5212, 525, 8124, 267, 476, 1220, 272, 281, 288, 6611, 744, 9188, 8124, 267, 476, 1220, 272, 6611, 31660, 267, 476, 1220, 272, 2230, 5212, 525, 8124, 267, 476, 1220, 272, 513, 2230, 5212, 525, 8124, 267, 476, 1220, 272, 281, 589, 6611, 744, 9188, 8124, 267, 589, 6611, 31660, 267, 476, 1220, 272, 513, 2230, 9642, 612, 344, 267, 589, 6611, 744, 9188, 8124, 267, 476, 1220, 272, 513, 6611, 31660, 267, 476, 1220, 272, 281, 513, 2230, 5212, 525, 8124, 267, 589, 2230, 27356, 8124, 267, 476, 1220, 272, 281, 288, 2230, 31660, 267, 589, 2230, 31660, 267, 476, 1220, 272, 281, 6611, 31660, 267, 589, 6611, 5212, 525, 8124, 267, 589, 2230, 744, 9188, 8124 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3448, 31374, 26161, 19906, 272, 267, 2855, 273, 2187, 825, 8173, 825, 476, 25426, 362, 30903, 502, 418, 493, 493, 13213, 364, 16088, 14756, 503, 12916, 510, 4970, 353, 14748, 12255, 14756, 482, 8147, 1551, 272, 13127, 23687, 1109, 1551, 273, 8147, 1551, 273, 1109, 18809, 7511, 30317, 27381, 510, 12571, 482, 21251, 25203, 372, 12571, 490, 267, 1551, 273, 476, 18809, 7511, 30006, 493, 14748, 30317, 27381, 510, 421, 25693, 24731, 27064, 364, 21928, 1109, 1551, 272, 1109, 18809, 454, 825, 13127, 363, 373, 2855, 272, 1109, 18809, 7511, 30317, 27381, 510, 13213, 505, 27310, 26406, 496, 31365, 8147, 12916, 379, 2855, 272, 476, 18809, 421, 350, 373, 7511, 25203, 372, 28098, 421, 350, 374, 31365, 25520, 1109, 1551, 273, 1109, 18809, 7511, 25203, 372, 28098, 421, 350, 374, 31365, 25203, 372, 12571, 490, 25707, 825, 476, 10951, 359, 21928, 1109, 1551, 273, 1109, 18809, 24731, 27064, 364, 13213, 485, 7511, 30317, 27381, 510, 421, 506, 478, 28884, 418, 490, 487, 419, 483, 356, 22287, 485, 31365, 418, 498, 378, 21928, 1109, 1551, 272, 1109, 7511, 10951, 360, 16533, 378, 25707, 825, 476, 25335, 352, 19540, 367, 25913, 25622, 16088, 10254, 358, 17958, 338, 9285, 16583, 30936, 7511, 10429, 367, 421, 498, 362, 21211, 4486, 10254, 370, 20881, 510, 22047, 16583, 30936, 454, 825, 2433, 12407, 2855, 272, 912, 825, 2433, 12407, 2855, 273, 912, 825, 2433, 8873, 912, 825, 8173, 825, 1219, 5635, 28840, 2187, 1038, 952, 1297, 538, 2855, 273, 912, 2018, 2132, 2855, 273, 28827, 28840, 994, 1038, 3116, 912, 2018, 2132, 7003, 19906, 273, 264, 1341, 1297, 692, 825, 2132, 15044, 19906, 272, 267, 1883, 284, 4818, 732, 994, 825, 8173, 825, 476, 10254, 358, 17958, 419, 358, 374, 25426, 368, 29004, 351, 28793, 25426, 368, 16088, 454, 1038, 589, 815, 1496, 328, 585, 1775, 538, 2855, 272, 952, 1775, 538, 2855, 273, 2639, 1038, 645, 815, 1496, 328, 585, 1775, 538, 2855, 272, 952, 1775, 711, 538, 2855, 273, 2639, 13872, 1038, 1219, 5635, 28840, 2187, 2018, 2132, 2855, 273, 28827, 28840, 994, 13872, 1038, 589, 31699, 31107, 284, 4818, 732, 994, 1038, 645, 31699, 4590, 1038, 2132, 589, 266, 289, 454, 825, 5727, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 2855, 272, 815, 1496, 273, 267, 476, 274, 267, 476, 272, 267, 476, 274, 267, 476, 273, 267, 476, 275, 267, 476, 277, 267, 476, 278, 267, 476, 280, 267, 476, 273, 267, 476, 866, 2639, 825, 2855, 273, 815, 1496, 273, 267, 476, 272, 267, 476, 275, 267, 476, 274, 267, 476, 280, 267, 476, 277, 2639, 825, 1820, 263, 7758, 894, 31374, 26161, 19906, 272, 267, 2855, 273, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13814, 1315, 31790, 454, 13202, 729, 18486, 609, 1010, 683, 15343, 342, 267, 11024, 21622, 15168, 731, 19555, 330, 839, 267, 593, 476, 1704, 5412, 476, 3707, 275, 269, 5637, 5747, 538, 5988, 476, 3707, 276, 1813, 547, 2112, 5208, 538, 5125, 563, 13202, 1185, 1044, 519, 17308, 540, 519, 4858, 577, 614, 2041, 2131, 556, 2758, 622, 2094, 476, 4572, 278, 269, 2991, 519, 27549, 540, 8575, 553, 3630, 19816, 593, 476, 278, 5437, 476, 3707, 275, 267, 3967, 1336, 12062, 609, 1010, 683, 15343, 342, 543, 4187, 25142, 267, 15168, 731, 267, 538, 8053, 3228, 269, 2201, 476, 1626, 5412, 267, 519, 1079, 4956, 547, 3802, 998, 519, 4395, 547, 5391, 23306, 8513, 609, 19421, 540, 21127, 538, 6287, 269, 898, 729, 606, 8626, 27274, 19408, 14679, 602, 8959, 269, 7982, 538, 8053, 3228, 267, 519, 1079, 30980, 941, 18486, 676, 519, 21647, 1310, 1373, 20729, 539, 593, 476, 1704, 5412, 593, 10997, 540, 29000, 538, 606, 3801, 547, 1780, 998, 519, 4395, 269, 1358, 8694, 909, 538, 519, 918, 7238, 15238, 630, 290, 860, 928, 264, 7890, 267, 1310, 799, 789, 941, 2366, 547, 519, 645, 1075, 1156, 342, 12245, 5834, 3786, 269, 2201, 476, 279, 5988, 476, 3707, 276, 267, 789, 941, 12517, 13676, 538, 513, 26645, 540, 519, 12051, 2282, 519, 3786, 1141, 789, 1185, 547, 1685, 7142, 11668, 269, 3967, 5747, 689, 1010, 7063, 513, 1554, 2663, 543, 15168, 731, 1175, 936, 513, 3018, 2663, 269, 3967, 781, 3788, 18423, 538, 5125, 543, 616, 711, 538, 1010, 18189, 18205, 538, 4858, 577, 614, 2041, 2131, 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, 296, 3893, 713, 9133, 689, 513, 5850, 676, 7917, 2311, 9469, 563, 2414, 2721, 11132, 7215, 267, 2721, 513, 20419, 14583, 1101, 269, 898, 2337, 596, 14458, 543, 1445, 593, 519, 30304, 540, 519, 11132, 4082, 269, 3973, 8571, 602, 1482, 4082, 538, 513, 811, 10853, 2511, 267, 11461, 676, 519, 20419, 596, 16668, 563, 2690, 713, 3635, 267, 1265, 513, 11604, 538, 799, 596, 666, 7485, 8188, 269, 3973, 2721, 513, 12837, 344, 6697, 540, 519, 7215, 596, 1118, 538, 519, 11604, 281, 2721, 519, 4064, 267, 32071, 4900, 267, 5023, 563, 10190, 2721, 513, 3068, 2443, 621, 3085, 1406, 723, 547, 581, 707, 3068, 256, 2443, 609, 602, 4082, 267, 1210, 519, 12837, 344, 596, 16668, 540, 519, 11132, 4082, 607, 513, 3391, 563, 303, 1638, 513, 3068, 538, 513, 11604, 267, 543, 2721, 519, 11132, 4082, 538, 513, 20419, 2511, 269, 3973, 2721, 519, 1482, 11132, 4082, 538, 513, 968, 9418, 2065, 892, 2511, 563, 2521, 713, 849, 281, 1265, 8666, 4704, 540, 8188, 267, 543, 2721, 873, 609, 513, 1114, 11132, 4082, 563, 763, 20419, 2511, 568, 513, 5187, 2305, 799, 2337, 596, 1265, 519, 30304, 540, 519, 11132, 4082, 269, 1411, 666, 1287, 4019, 891, 30304, 547, 513, 10853, 17021, 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 ]
[ 0, 2419, 691, 7335, 17943, 454, 9743, 1192, 528, 281, 9370, 3873, 918, 337, 5414, 345, 1168, 24989, 454, 306, 1495, 599, 267, 5437, 476, 1015, 267, 476, 1001, 280, 282, 476, 274, 281, 876, 268, 276, 281, 876, 10681, 563, 2419, 11301, 616, 513, 8642, 6041, 540, 513, 26095, 4806, 269, 1358, 1522, 1413, 25254, 693, 1101, 267, 855, 2899, 596, 1205, 519, 13793, 540, 621, 267, 789, 666, 581, 1256, 4443, 543, 5488, 982, 2854, 5528, 269, 9370, 3873, 786, 4001, 875, 547, 1224, 12125, 1312, 2324, 6366, 543, 538, 519, 5180, 267, 543, 3382, 519, 9238, 540, 2681, 267, 30824, 543, 10814, 12125, 269, 4841, 786, 2259, 26095, 513, 2220, 2255, 689, 513, 2241, 5750, 1282, 1362, 563, 16987, 1466, 281, 1053, 1058, 581, 6899, 16213, 593, 267, 26095, 267, 543, 1625, 1782, 563, 268, 667, 298, 610, 10782, 539, 2597, 20612, 543, 19271, 547, 960, 609, 630, 1415, 3602, 689, 2475, 476, 276, 268, 279, 5148, 5225, 2097, 547, 1362, 609, 476, 736, 25573, 5641, 593, 543, 519, 1101, 4737, 1625, 1194, 454, 268, 7102, 12125, 538, 3270, 596, 723, 602, 596, 1131, 899, 948, 16208, 454, 268, 4676, 1495, 338, 610, 4558, 17099, 585, 840, 1790, 4660, 1362, 7373, 5928, 666, 581, 1500, 1152, 952, 649, 616, 711, 1881, 693, 2547, 1079, 4374, 538, 4434, 540, 519, 4098, 540, 1362, 563, 268, 7323, 539, 5049, 786, 711, 581, 1500, 909, 8259, 519, 14357, 729, 8572, 547, 4001, 610, 519, 6300, 729, 6806, 585, 1651, 2211, 4365, 563, 268, 4676, 1495, 338, 610, 4558, 17099, 585, 14406, 5049, 3112, 581, 1500, 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 ]
[ 0, 258, 16338, 1063, 26941, 540, 834, 1708, 271, 3642, 10933, 4083, 10819, 270, 19370, 476, 272, 5016, 1012, 9046, 692, 8340, 519, 1297, 540, 10288, 8424, 540, 2318, 9981, 18159, 332, 19885, 7751, 971, 602, 20270, 332, 317, 273, 333, 815, 476, 736, 476, 3867, 736, 3686, 16859, 1012, 8827, 692, 5575, 267, 649, 1265, 519, 6305, 26458, 540, 1269, 736, 3867, 736, 20954, 799, 568, 1269, 273, 3867, 2412, 4153, 9392, 276, 3867, 736, 23201, 634, 3830, 20270, 332, 317, 273, 333, 815, 476, 736, 476, 3867, 736, 22288, 6645, 721, 602, 649, 1616, 547, 2824, 513, 3501, 4009, 3815, 540, 1269, 736, 3867, 736, 20954, 1269, 332, 317, 273, 10608, 1269, 333, 259, 786, 581, 8655, 676, 9949, 269, 1703, 616, 1269, 2641, 24585, 1556, 284, 23211, 259, 2081, 547, 2824, 513, 3501, 4009, 3815, 540, 1269, 736, 3867, 736, 20954, 3976, 938, 2626, 568, 4399, 3387, 2135, 346, 23211, 31859, 349, 27273, 27895 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5522, 665, 4821, 20805, 3121, 589, 527, 517, 454, 268, 5871, 8745, 912, 268, 7731, 281, 11676, 807, 576, 2801, 808, 1380, 563, 268, 13474, 540, 18882, 281, 2052, 776, 11866, 630, 8967, 664, 994, 268, 26335, 281, 11335, 12641, 1493, 21906, 454, 268, 13517, 281, 2052, 776, 6816, 21049, 21906, 267, 9648, 538, 3819, 5162, 268, 1778, 6420, 11335, 10664, 269, 31808, 569, 1019, 4141, 4109, 610, 575, 2106, 617, 1470, 324, 4109, 267, 609, 1367, 2371, 602, 616, 2901, 6140, 1599, 958, 5256, 630, 8117, 666, 1305, 5452, 12212, 1070, 610, 1599, 958, 4775, 563, 268, 7457, 542, 1948, 476, 1708, 4968, 26289, 454, 268, 11905, 281, 717, 297, 18722, 1382, 2371, 454, 294, 297, 288, 476, 276, 6246, 277, 267, 570, 10273, 1057, 267, 2052, 776, 11866, 267, 8050, 269, 22503, 543, 4775, 2371, 689, 3552, 6394, 5452, 521, 1144, 476, 1001, 273, 563, 268, 7457, 542, 11261, 281, 476, 4905, 268, 2918, 268, 1708, 274, 454, 268, 5484, 577, 281, 476, 29637, 274, 910, 22680, 289, 281, 29637, 271, 281, 13051, 577, 274, 454, 268, 17497, 281, 3742, 910, 2635, 454, 268, 1627, 1399, 281, 476, 274, 9672, 593, 476, 6349, 268, 1724, 268, 1708, 274, 454, 268, 10406, 281, 13804, 10008, 4451, 3279, 454, 268, 4147, 281, 13804, 10008, 3591, 5866, 454, 268, 4427, 12218, 281, 552, 340, 2120, 573, 594, 454, 268, 11352, 281, 22918, 1014, 2297, 454, 268, 7731, 281, 11676, 807, 576, 2801, 454, 268, 4427, 23991, 281, 11676, 1470, 728, 2801, 454, 268, 570, 11171, 281, 10925, 12929, 2801, 454, 4517, 3205, 267, 27068, 808, 1421, 27813, 28828, 345, 632, 623, 1794, 267, 3933, 320, 18722, 267, 28792, 24527, 10314, 543, 6424, 13177, 269, 476, 1708, 272, 269, 589, 2048, 548, 21294, 685, 3897, 6973, 545, 4638, 1062, 543, 9960, 1062, 21656, 513, 3811, 6532, 3935, 626, 281, 634, 10285, 7350, 540, 1773, 665, 4821, 20805, 3121, 630, 305, 889, 807, 576, 2801, 1040, 15636, 19680, 4750, 540, 519, 6931, 928, 534, 5980, 30619, 281, 476, 272, 268, 1626, 563, 11907, 1036, 10273, 730, 593, 570, 826, 267, 476, 2641, 4924, 476, 1708, 274, 476, 1321, 281, 1428, 281, 6321, 910, 30588, 271, 1496, 321, 9492, 642, 275, 269, 271, 316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9210, 16824, 540, 6276, 729, 1101, 12799, 5219, 547, 543, 20926, 676, 2107, 3394, 540, 28641, 630, 6977, 268, 22724, 9460, 1070, 543, 7654, 513, 3787, 4505, 676, 594, 1066, 30906, 540, 10370, 976, 630, 9873, 268, 1708, 9460, 1040, 1717, 267, 621, 729, 711, 5018, 676, 570, 1068, 1638, 1014, 630, 8182, 268, 13136, 9460, 1070, 945, 729, 1603, 693, 519, 1439, 540, 519, 2034, 2540, 269, 634, 9210, 16824, 540, 6276, 729, 3769, 1851, 519, 8938, 5498, 1597, 1715, 11620, 2835, 1101, 7396, 676, 19158, 11446, 3780, 540, 28641, 538, 476, 3607, 278, 9460, 269, 901, 729, 9672, 607, 513, 28138, 3134, 16824, 540, 519, 1715, 11620, 676, 1776, 3126, 540, 8772, 2540, 5646, 15078, 269, 1717, 267, 31187, 540, 631, 3591, 340, 652, 807, 630, 12573, 268, 275, 2764, 9460, 264, 1185, 930, 22027, 827, 621, 269, 4706, 3735, 6284, 538, 519, 5783, 267, 2523, 538, 519, 4639, 267, 949, 581, 6045, 676, 519, 1249, 602, 621, 729, 2854, 585, 610, 676, 6014, 10271, 269, 4475, 267, 621, 729, 711, 4922, 6933, 730, 1851, 519, 8425, 850, 13039, 269, 1703, 568, 930, 16315, 602, 513, 1906, 2516, 1253, 27434, 519, 1433, 1317, 540, 922, 14985, 269, 769, 26746, 2053, 513, 1906, 31188, 2103, 267, 1034, 16113, 9410, 13162, 538, 1010, 2038, 18591, 267, 11130, 602, 713, 3134, 16824, 1058, 711, 581, 851, 540, 519, 28138, 1715, 11620, 269, 1717, 267, 2221, 13162, 753, 3180, 602, 713, 3134, 16824, 568, 1318, 569, 851, 540, 519, 1715, 11620, 267, 19696, 922, 6392, 538, 519, 3883, 540, 19270, 867, 538, 476, 15647, 271, 269, 2353, 1292, 1467, 10271, 4849, 519, 8938, 5498, 1597, 2835, 540, 519, 1715, 11620, 607, 28138, 267, 1519, 713, 14594, 540, 6276, 269, 1548, 798, 596, 917, 827, 519, 17374, 540, 519, 1715, 11620, 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 ]
[ 0, 258, 476, 6860, 4149, 727, 3491, 1407, 7146, 5025, 653, 997, 725, 692, 1103, 1496, 28660, 2162, 7726, 476, 272, 692, 13706, 519, 1079, 2042, 1422, 8218, 9387, 348, 1422, 3667, 346, 16655, 4476, 7684, 535, 3287, 318, 272, 12101, 25854, 21726, 5332, 264, 1422, 3667, 346, 1641, 547, 7684, 630, 343, 318, 272, 12101, 25854, 21726, 5332, 9385, 514, 1422, 29604, 11138, 1422, 754, 9387, 348, 543, 1422, 8218, 9387, 348, 1422, 3667, 346, 14737, 4476, 7684, 910, 325, 3287, 318, 272, 12101, 25854, 21726, 5332, 264, 1422, 3667, 346, 1641, 547, 7684, 630, 343, 318, 272, 12101, 25854, 21726, 5332, 9385, 514, 1422, 29604, 1422, 754, 9387, 348, 8058, 602, 1422, 8218, 9387, 348, 535, 3287, 318, 272, 317, 265, 12101, 25854, 21726, 5332, 317, 265, 6661, 10946, 28381, 325, 3287, 318, 272, 12101, 25854, 21726, 5332, 2567, 263, 343, 318, 272, 12101, 25854, 21726, 5332, 264, 1422, 514, 1422, 29604, 1422, 27874, 1422, 754, 9387, 348, 952, 543, 1152, 952, 1422, 8218, 9387, 348, 910, 325, 3287, 318, 272, 317, 265, 12101, 25854, 21726, 5332, 317, 265, 6661, 2381, 315, 24877, 325, 3287, 318, 272, 12101, 25854, 21726, 5332, 2567, 263, 343, 318, 272, 12101, 25854, 21726, 5332, 264, 1422, 514, 1422, 29604, 1422, 27874, 1422, 754, 9387, 10926, 4415, 856, 2530, 540, 1252, 1275, 649, 8263, 891, 2042, 723, 2189, 3435, 780, 10112, 11167, 1384, 2171, 723, 602, 1384, 6518, 568, 1384, 763, 9258, 849, 6585, 1384, 10112, 11167, 1384, 2171, 723, 602, 1384, 6518, 568, 1384, 2162, 7726, 476, 273, 692, 2304, 1104, 1286, 2754, 814, 16292, 17346, 538, 4872, 1269, 288, 8961, 259, 289, 259, 543, 1269, 290, 259, 543, 7727, 2185, 1114, 4308, 619, 1269, 291, 318, 272, 8961, 259, 291, 318, 273, 8961, 259, 291, 318, 274, 259, 543, 1269, 291, 318, 275, 10608, 634, 1942, 538, 9489, 540, 24317, 513, 1286, 689, 513, 2016, 23999, 547, 513, 2016, 31066, 568, 1336, 538, 519, 1739, 3349, 269, 17497, 267, 1269, 291, 318, 272, 259, 2115, 1269, 1911, 8961, 1269, 291, 318, 273, 259, 2115, 1269, 2004, 8961, 1269, 291, 318, 274, 259, 2115, 1269, 4792, 8961, 543, 1269, 291, 318, 275, 259, 2115, 1269, 4037, 259, 6517, 269, 1215, 1058, 519, 6517, 581, 25855, 538, 1931, 547, 7413, 519, 11288, 3790, 2496, 290, 284, 259, 260, 1269, 692, 311, 284, 259, 260, 1269, 692, 299, 284, 259, 260, 1269, 692, 303, 284, 259, 260, 1269, 692, 30475, 1384, 290, 20975, 1384, 24993, 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 ]
[ 0, 2704, 664, 5576, 549, 25005, 267, 32068, 8666, 329, 16067, 626, 267, 3323, 538, 476, 1001, 279, 513, 8666, 1867, 593, 891, 15637, 945, 4688, 610, 836, 583, 753, 538, 12868, 269, 901, 13155, 2249, 568, 7142, 547, 4734, 922, 2067, 7226, 1317, 540, 519, 1395, 665, 11857, 540, 3282, 27374, 563, 763, 5681, 520, 3757, 610, 836, 27175, 538, 12868, 568, 12517, 12219, 676, 519, 29287, 543, 6024, 22930, 543, 26610, 540, 519, 22986, 269, 1306, 13869, 3282, 543, 12285, 24914, 267, 19883, 267, 4155, 2679, 267, 5599, 543, 10122, 3136, 547, 17297, 4733, 267, 610, 836, 583, 753, 616, 1373, 9141, 689, 741, 2067, 22986, 7226, 563, 5278, 3906, 4688, 610, 836, 583, 753, 538, 7411, 630, 331, 739, 267, 13676, 267, 27604, 2507, 264, 1247, 1866, 899, 519, 590, 8016, 303, 630, 11764, 520, 3757, 2107, 836, 27175, 11094, 5358, 264, 1521, 267, 11222, 4106, 622, 543, 759, 3469, 1125, 610, 836, 583, 753, 538, 741, 6131, 2564, 2497, 563, 2704, 664, 5576, 549, 25005, 779, 2592, 1397, 3232, 1272, 693, 519, 16758, 543, 31741, 4099, 1247, 9494, 519, 2729, 540, 610, 836, 583, 753, 609, 519, 22638, 3804, 540, 32543, 18166, 873, 547, 519, 3552, 543, 2870, 16220, 14323, 5095, 538, 6870, 7733, 269, 4586, 2710, 596, 849, 723, 513, 8149, 4760, 2065, 8666, 1788, 267, 609, 513, 1413, 693, 519, 1604, 543, 519, 2078, 1063, 3425, 543, 2470, 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 ]
[ 0, 9223, 281, 6258, 547, 2697, 1114, 6177, 2249, 563, 271, 269, 5192, 513, 1433, 540, 5017, 538, 707, 1858, 543, 979, 585, 513, 3802, 269, 6733, 1472, 693, 519, 5017, 543, 5635, 547, 519, 5961, 538, 707, 1433, 269, 1684, 713, 1419, 543, 596, 786, 4166, 1831, 606, 4274, 563, 272, 269, 5192, 513, 1433, 540, 5017, 538, 707, 1858, 543, 1694, 676, 707, 2713, 4055, 6885, 269, 13772, 519, 5017, 543, 5635, 547, 519, 5961, 538, 707, 1433, 269, 4591, 2401, 693, 873, 543, 2119, 547, 1451, 741, 627, 30178, 269, 1684, 713, 1419, 543, 596, 786, 4166, 1831, 606, 4274, 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 ]
[ 0, 9223, 281, 774, 8089, 546, 11301, 281, 589, 4807, 568, 1294, 28617, 609, 513, 1895, 540, 1004, 543, 835, 812, 18644, 519, 824, 269, 589, 1268, 3946, 513, 812, 513, 1305, 540, 546, 11301, 945, 1287, 25001, 873, 1055, 883, 519, 3845, 269, 634, 1004, 454, 271, 269, 538, 519, 546, 691, 13452, 12837, 1394, 547, 519, 4807, 563, 272, 269, 1287, 2119, 547, 533, 15127, 519, 3774, 543, 835, 540, 519, 2367, 22534, 519, 546, 11301, 693, 519, 824, 812, 563, 273, 269, 3136, 6340, 1247, 519, 8254, 31781, 782, 1472, 873, 563, 274, 269, 3136, 547, 5734, 519, 546, 11301, 543, 14902, 609, 835, 1776, 563, 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 ]
[ 0, 325, 815, 25754, 1535, 281, 1535, 265, 271, 269, 7871, 952, 1535, 27045, 2004, 3116, 630, 343, 268, 2004, 12684, 271, 269, 6812, 1341, 476, 2004, 265, 271, 269, 7871, 454, 29220, 815, 10581, 9272, 15405, 604, 737, 342, 3436, 476, 271, 912, 825, 1820, 2891, 322, 739, 815, 2715, 15545, 273, 325, 348, 2668, 8971, 6600, 17347, 342, 21875, 12828, 912, 825, 1820, 2891, 1103, 20777, 10025, 256, 8442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 333, 815, 3403, 14052, 8999, 815, 476, 271, 1477, 1721, 1775, 538, 562, 6769, 825, 2040, 23785, 842, 9217, 3418, 2745, 630, 8999, 3418 ]
[ 1, 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, 20135, 815, 476, 271, 454, 336, 339, 1372, 815, 476, 271, 454, 2254, 320, 815, 476, 271, 692, 6112, 711, 320, 11203, 910, 272, 912, 825, 711, 320, 815, 10581, 9272, 3488, 1103, 845, 324, 513, 711, 320, 522, 340, 910, 272, 16948, 1094, 597, 281, 1412, 4917, 825, 952, 711, 320, 11203, 910, 272, 912, 1038, 7117, 339, 1372, 6834, 476, 272, 454, 1038, 2698, 6834, 711, 320, 692, 2745, 6600, 262, 288, 544, 2946, 29953, 13005, 2881, 2742, 20527, 2715, 20135, 1315, 7117, 339, 1372, 348, 10807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 325, 4067, 815, 3403, 2891, 11767, 3758, 2433, 19515, 8518, 548, 815, 1930, 6600, 4067, 994, 29812, 815, 1592, 4590, 11907, 815, 9598, 4590, 323, 21648, 815, 9598, 4590, 330, 815, 7183, 454, 341, 815, 7183, 692, 1721, 1899, 538, 6023, 10778, 825, 1899, 815, 1899, 25331, 29328, 4590, 825, 952, 1899, 269, 11034, 1873, 603, 2891, 5804, 834, 2187, 1038, 1948, 2745, 263, 1467, 994, 1038, 1064, 815, 1899, 26098, 2891, 281, 5602, 1038, 2012, 815, 1899, 314, 1842, 268, 273, 281, 1842, 2639, 1038, 1239, 314, 4067, 316, 815, 1239, 10947, 28442, 267, 271, 264, 1341, 476, 272, 454, 1038, 1948, 29812, 6910, 28442, 2020, 1721, 737, 267, 341, 538, 1239, 29096, 10031, 825, 10917, 815, 630, 330, 267, 341, 994, 825, 8638, 6910, 6025, 11391, 2020, 29812, 815, 15044, 10857, 1235, 994, 1721, 737, 267, 341, 538, 8638, 912, 825, 1820, 17347, 267, 341, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 307, 12495, 540, 1284, 343, 5112, 454, 291, 15635, 27553, 2443, 15575, 344, 1284, 343, 5112, 454, 6097, 547, 10828, 267, 14480, 322, 27553, 7389, 1394, 547, 519, 942, 540, 674, 542, 333, 5839, 15346, 543, 519, 674, 1014, 3534, 538, 519, 476, 274, 6113, 2540, 269, 14480, 322, 27553, 729, 540, 7580, 2956, 593, 519, 4105, 4262, 21774, 540, 4826, 5112, 4498, 13118, 269, 898, 729, 7494, 3238, 538, 10617, 543, 20146, 2471, 585, 3592, 476, 1704, 5553, 269, 24285, 543, 15438, 723, 15354, 593, 543, 19679, 922, 2823, 1023, 267, 20679, 723, 17388, 267, 543, 19167, 8179, 543, 3893, 4987, 689, 922, 4222, 543, 8467, 269, 6276, 4083, 267, 543, 2663, 1010, 5067, 538, 1876, 5261, 540, 21060, 267, 22415, 1117, 593, 922, 25865, 4565, 16893, 269, 898, 568, 1869, 1031, 607, 513, 16434, 9721, 7952, 2022, 267, 5631, 585, 4832, 2866, 269, 898, 814, 513, 22501, 11824, 609, 10068, 543, 24886, 29319, 267, 799, 2306, 621, 513, 1360, 2442, 18992, 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 ]
[ 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 8498, 538, 9459, 267, 5030, 513, 2370, 8004, 3957, 2274, 10042, 269, 2701, 6068, 1200, 2528, 543, 729, 2141, 19832, 676, 519, 4190, 9660, 602, 519, 2021, 538, 1200, 1920, 20595, 593, 2027, 14026, 269, 2290, 1554, 267, 1352, 4280, 1200, 20516, 267, 834, 289, 629, 25556, 267, 1946, 798, 649, 5957, 891, 2027, 9660, 1152, 593, 1978, 2395, 12482, 15463, 3777, 25556, 20493, 543, 14452, 267, 834, 11039, 2274, 10042, 267, 891, 9660, 616, 711, 1175, 4190, 282, 789, 2995, 513, 1650, 543, 4001, 721, 827, 938, 5389, 543, 2257, 1932, 10590, 2701, 3576, 856, 513, 4062, 540, 12308, 1572, 1412, 299, 3188, 327, 3299, 799, 729, 21243, 609, 6263, 19141, 543, 10477, 3270, 269, 834, 16100, 5702, 2274, 10042, 267, 1142, 11604, 9356, 1769, 8335, 267, 2870, 513, 8141, 548, 1198, 269, 901, 568, 6323, 267, 1250, 15210, 256, 898, 2982, 875, 1769, 31136, 950, 621, 16125, 1114, 7252, 3010, 8867, 10042, 729, 27086, 269, 4173, 7279, 8057, 811, 267, 865, 1705, 9040, 25556, 781, 3137, 269, 6271, 28459, 789, 5941, 729, 519, 1412, 2419, 11456, 8339, 2755, 8098, 3931, 922, 22406, 25894, 267, 9040, 25556, 6045, 267, 834, 1607, 5958, 1522, 1413, 10347, 267, 855, 621, 14014, 721, 689, 3002, 543, 4411, 1317, 2011, 4991, 16290, 1063, 6106, 910, 602, 781, 13471, 267, 2274, 10042, 15323, 291, 904, 5293, 267, 543, 4166, 3357, 3767, 745, 345, 267, 519, 14655, 1715, 5729, 269, 15526, 21039, 909, 12926, 267, 1519, 2274, 10042, 269, 1717, 267, 1247, 4730, 10571, 5346, 267, 1352, 2468, 5529, 936, 1200, 1279, 1236, 7398, 543, 13264, 835, 540, 519, 16560, 4773, 269, 2598, 1952, 31212, 267, 1352, 2219, 1200, 1007, 1032, 1131, 1376, 1055, 21354, 1813, 547, 1200, 12161, 269, 1809, 1287, 9040, 25556, 1767, 267, 834, 16631, 2337, 721, 1174, 1919, 1732, 267, 2274, 10042, 267, 855, 3006, 9073, 4755, 269, 2334, 781, 851, 540, 1565, 1932, 269, 1548, 6927, 1034, 568, 1018, 596, 798, 1985, 3010, 3383, 2274, 10042, 4956, 547, 4368, 519, 7745, 4062, 9887, 269, 2060, 930, 5583, 689, 9040, 25556, 267, 1352, 4121, 827, 2326, 543, 544, 2056, 2553, 267, 7432, 1200, 8009, 883, 606, 4316, 585, 5876, 543, 2208, 269, 769, 3257, 865, 267, 1352, 4362, 602, 1256, 1498, 1919, 949, 711, 979, 607, 9709, 267, 972, 616, 4245, 15720, 538, 1169, 3510, 952, 649, 3442, 547, 1294, 873, 269, 1656, 3884, 1405, 602, 513, 8748, 3621, 6602, 3294, 286, 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, 2010, 540, 2621, 610, 14026, 616, 2757, 22504, 2021, 781, 7802, 3335, 12816, 585, 888, 25565, 22504, 2021, 781, 7802, 568, 3335, 12816, 585, 2027, 14026, 971, 607, 12311, 26204, 267, 3909, 18428, 267, 543, 15976, 269, 1358, 616, 849, 12816, 585, 6101, 2621, 267, 899, 4271, 725, 543, 1271, 7188, 2996, 269, 3958, 267, 2757, 22504, 7802, 568, 4122, 12816, 1282, 3084, 16873, 971, 607, 14655, 1715, 5729, 267, 799, 568, 9976, 538, 4728, 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, 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 ]
[ 0, 1692, 798, 596, 4194, 713, 476, 274, 4756, 1062, 1966, 1210, 519, 18839, 1505, 2496, 272, 1862, 586, 24210, 266, 274, 692, 273, 1862, 344, 284, 345, 266, 278, 692, 274, 1862, 345, 284, 273, 14870, 2807, 810, 476, 273, 1831, 586, 284, 273, 14870, 266, 278, 284, 280, 22271, 692, 28387, 267, 1535, 266, 274, 284, 280, 14870, 692, 273, 343, 284, 280, 268, 274, 284, 277, 692, 343, 284, 274, 692, 344, 24210, 266, 274, 284, 277, 692, 343, 284, 273, 14870, 15871, 272, 454, 2421 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15272, 281, 1215, 547, 723, 707, 1378, 2511, 269, 5623, 707, 20758, 549, 2041, 547, 1265, 6667, 3330, 707, 1378, 5008, 564, 269, 6969, 596, 2847, 2086, 707, 2511, 267, 4990, 998, 707, 9660, 543, 2119, 593, 930, 3688, 269, 1677, 1404, 609, 1114, 5654, 267, 2119, 30010, 707, 5172, 23157, 609, 824, 3688, 596, 3335, 9327, 1405, 2119, 269, 3097, 271, 269, 1496, 11357, 25074, 316, 1280, 1383, 267, 952, 596, 899, 707, 11953, 4571, 337, 858, 267, 513, 4418, 831, 538, 707, 5172, 2681, 1223, 581, 513, 1390, 6474, 269, 1411, 1223, 849, 1796, 547, 1205, 12805, 2110, 338, 610, 682, 1375, 902, 609, 513, 3787, 811, 3099, 563, 272, 269, 3619, 12050, 543, 2119, 513, 1906, 1114, 12478, 269, 1496, 11357, 25074, 316, 774, 992, 513, 10477, 834, 803, 834, 28459, 883, 519, 3575, 563, 273, 269, 5213, 622, 1022, 3688, 602, 1100, 3476, 3717, 547, 596, 610, 1810, 1405, 1118, 596, 1745, 8746, 269, 1496, 11357, 25074, 316, 1280, 1383, 267, 5310, 596, 2141, 5957, 512, 6879, 16630, 609, 4544, 14247, 753, 563, 274, 269, 1496, 27583, 316, 667, 816, 1524, 609, 2901, 707, 3339, 1413, 610, 707, 2688, 28459, 269, 1496, 21163, 316, 2755, 9849, 1236, 16630, 543, 695, 16630, 609, 19034, 25568, 543, 14247, 753, 630, 335, 8529, 609, 513, 9290, 610, 10571, 264, 2306, 596, 1413, 31042, 267, 1589, 3544, 519, 4216, 607, 1454, 607, 596, 798, 563, 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 ]
[ 0, 266, 271, 692, 258, 16534, 519, 1101, 1931, 5276, 667, 9950, 269, 630, 344, 1341, 272, 264, 290, 657, 343, 11459, 815, 10085, 1141, 519, 717, 2529, 269, 568, 2016, 586, 552, 317, 4501, 360, 335, 3287, 264, 11459, 815, 3980, 360, 304, 3287, 264, 552, 317, 4501, 360, 335, 3287, 264, 11459, 1341, 595, 692, 266, 272, 454, 30329, 454, 272, 454, 266, 1428, 692, 24169, 519, 1101, 1931, 5276, 667, 9950, 269, 630, 344, 1341, 272, 264, 290, 657, 343, 11459, 815, 10085, 1141, 519, 717, 2529, 269, 568, 2016, 586, 552, 317, 4501, 360, 335, 3287, 264, 11459, 815, 1109, 4501, 360, 304, 3287, 264, 552, 317, 4501, 360, 335, 3287, 264, 11459, 476, 1109, 266, 595, 692, 13971, 476, 275, 267, 476, 1001, 278, 692, 258, 272, 454, 266, 272, 692, 24169, 519, 3021, 762, 3830, 630, 10085, 3287, 4297, 14370, 15848, 264, 815, 630, 344, 3287, 264, 1341, 476, 272, 264, 5430, 3287, 2187, 19667, 728, 1312, 5011, 676, 586, 3287, 264, 1341, 476, 272, 912, 9230, 10085, 3287, 4297, 14370, 15848, 4297, 14370, 344, 3287, 264, 1341, 476, 272, 264, 815, 5430, 3287, 994, 18204, 3433, 1312, 5011, 609, 2463, 547, 1535, 912, 15759, 1537, 9230, 10085, 3287, 4297, 14370, 15848, 4297, 14370, 344, 3287, 264, 1341, 476, 272, 264, 15848, 815, 7533, 5430, 3287, 264, 15848, 454, 24066, 10663, 519, 29398, 912, 8421, 12169, 3287, 264, 1341, 476, 272, 264, 815, 5609, 3287, 264, 1341, 524, 318, 272, 267, 1141, 524, 318, 272, 568, 606, 17062, 3586, 563, 24169, 585, 586, 3287, 2187, 344, 3287, 264, 815, 552, 22677, 7562, 3287, 264, 1341, 524, 318, 272, 264, 910, 476, 272, 454, 8245, 680, 1518, 519, 17062, 21635, 912, 12585, 281, 1923, 1109, 344, 3287, 264, 815, 524, 318, 272, 552, 22677, 7562, 3287, 4297, 910, 476, 272, 692, 13971, 476, 275, 267, 476, 1001, 278 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24257, 547, 680, 600, 284, 271, 454, 24257, 562, 284, 274, 454, 24257, 585, 1775, 538, 2039, 263, 866, 267, 10711, 267, 274, 2187, 453, 28744, 9217, 994, 453, 9008, 4594, 815, 547, 680, 600, 1341, 1775, 692, 28768, 24257, 1820, 6025, 641, 4594, 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 ]
[ 0, 30607, 17904, 1447, 942, 593, 9365, 2443, 1246, 5696, 650, 5050, 563, 9943, 454, 12988, 547, 782, 11271, 692, 258, 17593, 10789, 692, 5804, 6986, 2979, 547, 2413, 25563, 547, 5214, 7998, 267, 7493, 7223, 24598, 1231, 1454, 540, 4207, 1382, 269, 6258, 519, 3069, 540, 2516, 267, 14034, 267, 543, 4610, 780, 258, 17593, 10789, 24953, 1575, 692, 1432, 1483, 1297, 1281, 711, 723, 513, 3818, 2364, 894, 11201, 2496, 14240, 269, 589, 1483, 1297, 3230, 321, 2330, 568, 1572, 519, 3818, 2364, 894, 11201, 540, 513, 952, 692, 259, 320, 1422, 9392, 536, 815, 536, 1422, 9392, 513, 815, 476, 272, 269, 6911, 1432, 1297, 3230, 320, 2330, 25389, 1269, 274, 1341, 513, 1422, 25406, 476, 271, 1422, 3667, 346, 630, 7116, 476, 278, 21663, 10592, 14240, 269, 18827, 1110, 25222, 476, 278, 568, 3989, 676, 4946, 1079, 2338, 267, 12270, 519, 2040, 676, 476, 278, 267, 543, 2921, 519, 14230, 780, 2690, 1383, 267, 3230, 274, 1341, 476, 277, 1422, 25406, 476, 273, 2330, 630, 7116, 476, 278, 1070, 2094, 476, 274, 1341, 476, 277, 815, 476, 280, 543, 519, 14230, 950, 476, 280, 568, 5258, 676, 476, 278, 568, 476, 273, 780, 1432, 1297, 3230, 320, 2330, 25389, 1269, 274, 1422, 9392, 513, 1422, 25406, 476, 272, 1422, 3667, 346, 630, 7116, 25222, 476, 278, 21663, 10592, 14240, 269, 18527, 1110, 25222, 476, 278, 568, 3989, 676, 14921, 1079, 2338, 267, 12270, 519, 1587, 676, 476, 278, 267, 543, 2921, 519, 14230, 780, 2690, 1383, 267, 3230, 274, 1422, 9392, 476, 277, 1422, 25406, 476, 275, 2330, 630, 7116, 476, 278, 1070, 2094, 3230, 274, 1422, 9392, 476, 277, 815, 476, 1240, 267, 2330, 543, 519, 14230, 950, 476, 1240, 568, 5258, 676, 476, 278, 568, 476, 275, 780, 2690, 799, 1871, 540, 3230, 333, 2330, 1281, 1269, 276, 1422, 9392, 513, 1422, 25406, 476, 272, 1422, 3667, 346, 630, 7116, 562, 264, 10592, 17647, 513, 3070, 2496, 14240, 269, 18527, 1110, 25222, 562, 568, 3989, 676, 14921, 1079, 2338, 267, 12270, 519, 1587, 676, 562, 267, 543, 2921, 519, 14230, 780, 2690, 1383, 267, 1491, 3230, 333, 815, 476, 277, 269, 2330, 1284, 723, 3230, 276, 1422, 9392, 476, 276, 1422, 25406, 476, 272, 2330, 630, 7116, 476, 277, 1070, 2094, 3230, 276, 1422, 9392, 476, 276, 815, 476, 1839, 267, 2330, 543, 519, 14230, 950, 476, 1839, 568, 5258, 676, 476, 277, 568, 476, 272, 780, 9989, 1169, 1483, 1297, 723, 606, 19605, 11201, 2496, 14240, 269, 589, 1483, 1297, 3230, 321, 2330, 568, 1572, 519, 19605, 11201, 540, 3230, 320, 2330, 952, 692, 259, 320, 1341, 536, 815, 536, 1341, 513, 815, 476, 271, 269, 6911, 9943 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 623, 1408, 22496, 2599, 568, 513, 1826, 540, 1804, 17088, 2599, 1031, 5631, 538, 7286, 27668, 1949, 267, 1379, 5108, 267, 543, 4853, 3156, 269, 898, 729, 3957, 1310, 922, 14704, 267, 519, 3943, 11653, 31869, 2471, 623, 1408, 22496, 563, 763, 5826, 540, 513, 623, 1408, 22496, 2599, 568, 513, 1950, 1184, 602, 3340, 7463, 1702, 543, 1983, 563, 2080, 616, 930, 540, 519, 2596, 5826, 5773, 912, 19894, 3282, 2242, 281, 634, 2599, 3282, 1058, 581, 4957, 693, 2834, 11996, 547, 2061, 5957, 543, 15237, 540, 519, 3001, 2694, 563, 290, 944, 532, 1062, 5826, 281, 634, 2599, 779, 9023, 1062, 1058, 581, 5781, 13761, 543, 9738, 547, 2327, 3608, 5106, 543, 2061, 23986, 908, 563, 293, 3241, 1062, 5826, 281, 634, 4492, 12086, 543, 7630, 832, 1058, 581, 13761, 543, 9738, 547, 2327, 1697, 4492, 6765, 543, 2061, 4492, 12526, 563, 11749, 557, 543, 12718, 5826, 281, 634, 2599, 779, 17901, 543, 26561, 1058, 581, 13761, 543, 9738, 547, 2327, 1697, 13496, 543, 13674, 563, 307, 584, 2692, 12737, 518, 5826, 281, 634, 2599, 779, 2881, 2692, 12737, 518, 1058, 581, 13761, 543, 9738, 547, 2327, 3608, 5106, 543, 2061, 3441, 547, 519, 2599, 563, 16978, 3740, 1062, 5826, 281, 634, 2599, 779, 5122, 1062, 1058, 581, 13761, 543, 9738, 547, 2327, 1697, 5106, 543, 2061, 5122, 24966, 563, 2005, 568, 1271, 547, 4063, 602, 5826, 5773, 585, 623, 1408, 22496, 9817, 666, 4268, 4470, 593, 519, 1808, 2203, 543, 3498, 269, 898, 568, 5227, 602, 596, 5077, 609, 519, 10672, 779, 4808, 610, 513, 11727, 27637, 585, 811, 2143, 1344, 593, 5826, 5773, 563, 307, 584, 2692, 6052, 20668, 2336, 293, 15903, 538, 476, 1001, 279, 267, 5695, 2692, 6052, 5713, 8030, 267, 10685, 2694, 8637, 267, 11288, 3549, 1851, 1866, 607, 2733, 12781, 563, 9965, 280, 17252, 476, 14341, 526, 853, 454, 22139, 24543, 16047, 267, 18919, 476, 28664, 7830, 267, 9167, 288 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 454, 258, 7049, 4733, 10888, 13169, 1297, 454, 3698, 2603, 2023, 334, 10031, 825, 1104, 4351, 454, 825, 8870, 815, 11713, 825, 585, 1297, 538, 2039, 630, 271, 2073, 476, 276, 2187, 1038, 8870, 6910, 263, 12690, 27110, 263, 271, 267, 476, 3583, 4917, 825, 2132, 8870, 692, 2745, 3488, 763, 10888, 2338, 616, 15079, 8339, 8971, 10857, 9051, 334, 3890, 11723, 258, 7049, 4733, 5697, 13169, 1297, 454, 3698, 2603, 9008, 1157, 7224, 10031, 825, 1104, 4351, 454, 825, 8870, 815, 11713, 825, 585, 1297, 538, 2039, 630, 271, 2073, 476, 276, 2187, 1038, 8870, 6910, 263, 12690, 27110, 263, 271, 267, 476, 3583, 4917, 825, 2132, 8870, 692, 2745, 3488, 2791, 5697, 281, 15079, 8339, 8971, 10857, 2714, 641, 1157, 7224, 3890, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 631, 14709, 519, 631, 1961, 9908, 729, 2141, 8049, 827, 1200, 1378, 2497, 269, 2701, 6785, 1352, 729, 1500, 909, 540, 1114, 2694, 1572, 8444, 267, 27433, 1927, 676, 4687, 9211, 269, 1809, 835, 1554, 267, 1352, 9289, 827, 519, 9490, 4755, 902, 3330, 540, 1200, 269, 2701, 8068, 602, 3006, 267, 1978, 2694, 540, 1200, 1131, 6292, 909, 609, 1142, 824, 543, 1711, 513, 7123, 2497, 780, 257, 20756, 267, 1520, 523, 710, 10590, 631, 14709, 1572, 856, 547, 1776, 851, 540, 9887, 269, 834, 296, 5469, 602, 596, 2141, 3100, 547, 6292, 909, 609, 772, 2350, 559, 269, 4208, 568, 602, 12482, 3849, 523, 710, 14452, 267, 834, 11039, 267, 20703, 267, 621, 781, 1317, 649, 1246, 519, 3490, 6292, 3652, 540, 10717, 256, 594, 3514, 9985, 609, 772, 2350, 559, 267, 1175, 899, 2871, 29516, 13352, 9985, 609, 7261, 339, 27343, 3010, 300, 14709, 729, 19832, 269, 834, 3383, 267, 649, 723, 2027, 3652, 602, 2995, 721, 799, 2694, 979, 1927, 286, 2334, 781, 5863, 15323, 3719, 1287, 1945, 6397, 5949, 269, 6271, 851, 540, 631, 14709, 267, 1577, 781, 1289, 1864, 21142, 710, 267, 4941, 547, 6443, 538, 593, 519, 19610, 1187, 269, 1261, 6836, 547, 25837, 5128, 1063, 1520, 523, 710, 543, 772, 2350, 559, 267, 15691, 547, 1106, 1010, 1378, 3490, 6292, 269, 1809, 3079, 540, 2870, 6617, 267, 646, 3361, 14784, 2439, 300, 14709, 4280, 267, 834, 2704, 29516, 267, 1946, 1705, 596, 798, 602, 286, 1411, 22314, 938, 3501, 3490, 8424, 15323, 2704, 29516, 6743, 1524, 4751, 267, 834, 296, 6415, 20994, 267, 594, 4769, 1405, 917, 519, 3652, 269, 594, 2219, 594, 1223, 6443, 538, 1932, 3010, 1607, 5872, 6026, 631, 14709, 543, 782, 1200, 2694, 606, 1898, 3992, 827, 519, 2956, 540, 1620, 519, 3652, 1354, 3843, 547, 7119, 538, 1022, 1062, 269, 3807, 899, 875, 21142, 710, 2877, 547, 1451, 827, 3490, 30010, 3652, 267, 3025, 1590, 1101, 1174, 519, 4808, 1354, 12394, 547, 3565, 9797, 547, 741, 1604, 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, 22923, 589, 281, 4504, 1090, 12817, 3490, 8424, 666, 2049, 1369, 2582, 3613, 8681, 539, 31332, 7408, 269, 901, 568, 3226, 1271, 538, 10717, 6675, 630, 324, 3052, 1421, 4483, 10717, 1070, 1141, 23846, 4211, 4459, 3490, 8424, 630, 7666, 29516, 268, 1097, 339, 27343, 543, 20722, 710, 268, 340, 2350, 559, 264, 11863, 519, 5250, 540, 2110, 5595, 3613, 8681, 539, 927, 1182, 267, 543, 513, 2647, 3099, 540, 1875, 8862, 20490, 4211, 4459, 4205, 630, 324, 3052, 1421, 717, 27138, 610, 589, 5025, 264, 1450, 681, 18456, 547, 16784, 883, 513, 5318, 2039, 540, 1808, 1614, 8820, 3889, 269, 769, 1840, 267, 3490, 1790, 1515, 532, 1063, 4483, 10717, 630, 339, 11748, 264, 543, 28034, 10717, 630, 332, 11748, 264, 3029, 519, 4493, 585, 519, 7636, 6284, 2621, 602, 1267, 538, 519, 30859, 5311, 540, 22328, 4742, 12261, 883, 519, 11254, 3679, 5311, 540, 5946, 3842, 519, 4719, 3009, 780, 12585, 713, 2243, 281, 1018, 616, 519, 3490, 6292, 3652, 585, 678, 3534, 888, 22923, 645, 281, 10498, 1862, 634, 4143, 1344, 568, 281, 901, 568, 3226, 1271, 538, 10717, 6675, 630, 324, 3052, 1421, 4483, 10717, 1070, 1141, 23846, 4211, 4459, 3490, 8424, 630, 7666, 29516, 268, 1097, 339, 27343, 543, 20722, 710, 268, 340, 2350, 559, 264, 11863, 519, 5250, 540, 2110, 5595, 3613, 8681, 539, 927, 1182, 267, 543, 513, 2647, 642, 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, 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, 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, 2979, 1104, 21762, 692, 3698, 568, 7272, 550, 3799, 2187, 825, 715, 815, 630, 272, 1341, 21762, 263, 2190, 2608, 562, 1341, 476, 272, 4297, 1315, 476, 277, 454, 825, 2132, 715, 4939, 476, 272, 2652, 476, 271, 692, 3698, 568, 4671, 686, 3799, 2187, 825, 715, 815, 630, 6912, 263, 279, 2608, 562, 1341, 476, 272, 264, 910, 476, 272, 264, 1315, 476, 273, 454, 825, 2132, 715, 4939, 476, 272, 2652, 476, 271, 692, 327, 815, 476, 13893, 692, 6112, 6936, 912, 825, 670, 815, 554, 2608, 630, 273, 2608, 554, 910, 476, 272, 994, 825, 952, 568, 4671, 686, 263, 295, 264, 543, 568, 7272, 550, 263, 295, 2187, 1038, 1820, 263, 295, 994, 1038, 2736, 454, 825, 554, 6834, 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 ]
[ 0, 294, 629, 21119, 21023, 338, 3627, 779, 17510, 276, 769, 519, 2395, 540, 3751, 19065, 376, 454, 16123, 376, 15463, 617, 270, 15463, 617, 2103, 281, 634, 2012, 540, 519, 16740, 2541, 534, 1920, 15194, 21157, 689, 476, 4391, 536, 6983, 269, 547, 513, 6155, 269, 476, 4817, 282, 519, 1292, 17710, 689, 713, 1920, 5018, 538, 519, 24857, 616, 281, 4173, 617, 4165, 760, 553, 263, 275, 536, 6983, 11607, 320, 6155, 269, 476, 4375, 264, 5067, 540, 4173, 617, 519, 4279, 282, 12199, 835, 21144, 628, 540, 1010, 4651, 781, 10806, 630, 29727, 850, 324, 543, 28828, 320, 5148, 7166, 3627, 519, 23837, 543, 544, 18088, 4906, 282, 4173, 617, 594, 630, 4391, 536, 6983, 11607, 275, 536, 6983, 4700, 849, 1634, 607, 4173, 617, 519, 4279, 282, 3710, 519, 1390, 11454, 538, 13243, 543, 2527, 659, 1042, 519, 5256, 9002, 538, 21861, 548, 1335, 282, 4173, 617, 3397, 23774, 320, 594, 630, 288, 6185, 269, 476, 4391, 275, 275, 264, 634, 1178, 2738, 517, 540, 4173, 617, 519, 4279, 282, 646, 581, 20243, 6276, 519, 19980, 548, 543, 29802, 8834, 282, 4173, 617, 3397, 23774, 320, 4083, 630, 288, 6185, 269, 476, 7367, 8619, 476, 4817, 264, 634, 1390, 3766, 571, 2738, 517, 540, 4173, 617, 519, 4279, 282, 646, 4862, 6754, 781, 8878, 269, 4173, 617, 2103, 941, 2797, 18793, 540, 4173, 617, 519, 4279, 543, 1010, 1920, 15463, 617, 536, 540, 7225, 20660, 267, 972, 729, 513, 17308, 540, 2806, 6359, 1695, 779, 6498, 19065, 376, 2073, 546, 3957, 2098, 3663, 7559, 327, 269, 3571, 7385, 729, 689, 519, 20766, 540, 26826, 267, 543, 1200, 2012, 729, 10906, 563, 15648, 1344, 585, 670, 5425, 289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15031, 686, 582, 4303, 585, 519, 1032, 476, 1708, 271, 568, 9976, 270, 4767, 593, 11016, 267, 5181, 476, 1556, 628, 563, 293, 27518, 267, 5181, 476, 1556, 628, 568, 519, 476, 22724, 1554, 540, 519, 476, 1708, 271, 11706, 1032, 609, 476, 272, 1032, 267, 476, 278, 3275, 267, 476, 2190, 2395, 2394, 24686, 582, 4303, 476, 1708, 271, 563, 5415, 1344, 593, 24686, 582, 4303, 269, 630, 9199, 1885, 267, 31654, 1682, 543, 3778, 994, 347, 2691, 10573, 20826, 476, 1556, 628, 12422, 2008, 20826, 476, 1708, 271, 32733, 454, 347, 14630, 1475, 29804, 6118, 1475, 19547, 5661, 1475, 291, 904, 547, 3619, 2008, 16085, 788, 476, 278, 910, 3933, 1475, 299, 1987, 4303, 476, 1708, 271, 1475, 293, 3985, 31054, 1475, 6795, 279, 2008, 16085, 788, 476, 1556, 910, 29443, 1475, 15031, 686, 582, 4303, 476, 1708, 271, 1475, 25332, 969, 766, 1475, 2568, 273, 2008, 16085, 788, 476, 1724, 910, 6129, 1475, 13233, 9835, 18499, 4303, 476, 1708, 271, 1475, 25332, 969, 766, 1475, 2568, 275, 2008, 16085, 788, 476, 1704, 910, 774, 2720, 1475, 17746, 3191, 22893, 1222, 4303, 476, 1708, 271, 1475, 25332, 969, 766, 1475, 2568, 279, 2008, 347, 5353, 696, 476, 866, 910, 9045, 1475, 305, 9655, 25300, 3570, 476, 1708, 271, 1475, 297, 28779, 1475, 29637, 2008, 16085, 788, 476, 2420, 910, 570, 1132, 1475, 293, 718, 270, 11354, 910, 5181, 1226, 514, 2135, 476, 1708, 271, 1475, 5353, 1783, 1475, 277, 1724, 2008, 347, 5353, 696, 476, 2764, 910, 3933, 1475, 312, 558, 918, 2089, 584, 476, 1708, 271, 1475, 297, 28779, 1475, 277, 866, 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 ]
[ 0, 29973, 10341, 4303, 454, 9213, 568, 519, 476, 1015, 628, 16683, 540, 12708, 10341, 4303, 256, 898, 779, 513, 1554, 547, 6318, 4656, 540, 519, 8370, 1883, 1983, 602, 616, 1271, 585, 960, 543, 3232, 1272, 269, 1452, 1983, 267, 4857, 676, 519, 6554, 540, 4516, 267, 616, 519, 5748, 585, 1565, 824, 1983, 543, 9687, 693, 960, 543, 15268, 547, 1689, 563, 1432, 568, 1142, 5578, 286, 1215, 568, 621, 1031, 286, 1548, 6009, 946, 519, 5578, 286, 13235, 5020, 17402, 4516, 814, 2919, 606, 12708, 10341, 4303, 9133, 6656, 602, 4267, 891, 2055, 563, 2414, 1451, 811, 827, 1898, 1983, 267, 3643, 634, 8433, 540, 17402, 543, 12708, 10341, 563, 16665, 18248, 24762, 454, 6701, 596, 2324, 689, 1753, 286, 1280, 1082, 540, 721, 267, 713, 568, 513, 1007, 1995, 269, 5192, 4388, 585, 2324, 689, 1753, 689, 281, 5046, 268, 866, 281, 1215, 6348, 2889, 22327, 2052, 19372, 13229, 17791, 5570, 5024, 13756, 1107, 6693, 763, 5437, 3390, 540, 634, 4639, 1723, 770, 24153, 568, 2139, 1631, 256, 901, 3923, 779, 4639, 1723, 770, 24153, 2882, 4930, 827, 7087, 18884, 267, 4313, 1426, 267, 2770, 15833, 267, 10785, 543, 811, 269, 1411, 666, 1265, 519, 6693, 9596, 6863, 827, 519, 1604, 609, 948, 689, 19889, 538, 519, 20700, 307, 15858, 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 ]
[ 0, 325, 822, 338, 815, 22373, 5719, 987, 4063, 2580, 834, 1103, 4003, 2580, 834, 298, 2426, 14673, 7260, 257, 15947, 2745, 2891, 17098, 14744, 2745, 28949, 325, 822, 338, 10142, 2908, 6958, 822, 815, 3403, 2891, 11243, 835, 3364, 596, 1616, 547, 1039, 281, 834, 3418, 325, 822, 338, 6910, 28956, 6958, 822, 3418, 2745, 28949, 325, 822, 338, 267, 694, 335, 284, 2580, 834, 3418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2690, 519, 1101, 942, 538, 8109, 2342, 267, 513, 835, 4458, 6040, 1126, 729, 13234, 593, 609, 519, 948, 540, 519, 20707, 30058, 8773, 693, 519, 700, 341, 643, 5753, 390, 376, 338, 11233, 540, 853, 269, 22956, 269, 634, 7911, 1185, 513, 22787, 31096, 2443, 1932, 1507, 606, 6679, 538, 519, 23443, 614, 540, 519, 1318, 8459, 563, 1607, 729, 4080, 538, 519, 3689, 6481, 5948, 540, 700, 341, 643, 563, 763, 4816, 568, 476, 272, 269, 275, 1296, 2025, 543, 713, 568, 513, 22787, 8919, 267, 1010, 10729, 729, 711, 8429, 1134, 543, 5714, 729, 7213, 6819, 267, 543, 519, 8459, 729, 7683, 28332, 1317, 540, 713, 563, 2414, 9004, 713, 1966, 267, 7189, 5340, 513, 23443, 614, 556, 574, 8690, 566, 281, 789, 1500, 513, 1007, 8559, 1063, 519, 23443, 614, 543, 519, 15485, 267, 998, 799, 519, 10729, 786, 4628, 4734, 519, 8459, 563, 7712, 519, 3461, 568, 1869, 1360, 1762, 267, 519, 7189, 4956, 547, 7500, 593, 1864, 609, 519, 948, 540, 519, 20707, 30058, 8773, 267, 865, 602, 646, 1223, 10929, 6391, 811, 3362, 543, 9156, 5488, 269, 901, 1533, 6361, 7308, 19603, 18951, 1062, 2636, 585, 30194, 12362, 6391, 2443, 1510, 513, 1804, 1651, 1707, 267, 799, 568, 1447, 15779, 543, 609, 8766, 1973, 2530, 563, 763, 18874, 2893, 693, 513, 2027, 23641, 543, 6417, 519, 834, 327, 1343, 257, 540, 519, 8773, 267, 799, 13234, 593, 519, 4816, 1310, 1152, 513, 1906, 14047, 999, 269, 8729, 547, 519, 3381, 8254, 267, 519, 3239, 729, 13739, 538, 4395, 540, 519, 7189, 593, 513, 1804, 5496, 563, 763, 7911, 15068, 519, 5106, 1134, 2443, 519, 4255, 4951, 602, 519, 8459, 568, 2907, 2324, 1454, 1732, 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 ]
[ 0, 763, 17974, 1604, 2813, 676, 1970, 12451, 538, 1507, 11623, 568, 540, 1390, 2956, 1312, 538, 2474, 540, 6947, 543, 2773, 2175, 269, 769, 971, 11623, 267, 2079, 540, 1970, 4908, 3280, 4610, 949, 2154, 519, 5951, 2861, 13113, 3693, 1505, 1813, 547, 519, 6988, 540, 5951, 2623, 693, 519, 1374, 3942, 269, 1717, 267, 972, 616, 1360, 1906, 2090, 602, 1445, 593, 519, 6388, 540, 713, 1505, 269, 4340, 547, 519, 5576, 549, 25005, 3069, 267, 538, 11623, 2808, 607, 1507, 11623, 267, 519, 3280, 4610, 4646, 676, 1970, 12451, 616, 8947, 609, 7154, 23607, 267, 4908, 3210, 543, 5365, 3210, 23607, 1500, 538, 13076, 609, 5951, 2623, 3069, 269, 634, 7154, 3892, 267, 4908, 3210, 543, 5365, 3210, 1239, 5833, 1210, 519, 2910, 5960, 5357, 11191, 1982, 723, 1500, 621, 2009, 547, 6218, 519, 1970, 4908, 3280, 2361, 2813, 676, 519, 5951, 18640, 540, 519, 3280, 269, 1280, 519, 15418, 540, 2164, 267, 4055, 1035, 24065, 923, 7403, 941, 1500, 538, 13076, 609, 29172, 13673, 18869, 476, 24783, 273, 268, 272, 538, 519, 11117, 4055, 543, 3379, 609, 11191, 2164, 269, 901, 1353, 6799, 543, 11828, 519, 12605, 540, 6662, 6724, 998, 5951, 2861, 13113, 3693, 1505, 609, 513, 2027, 8561, 593, 922, 6388, 585, 1507, 2575, 4055, 4879, 269, 634, 6476, 540, 519, 6482, 543, 11191, 2164, 4951, 602, 519, 1505, 666, 581, 6707, 4294, 585, 519, 4879, 543, 1374, 3156, 998, 1110, 531, 2079, 267, 4908, 6389, 543, 23644, 3210, 2079, 563, 2304, 1695, 30198, 22398, 574, 601, 518, 281, 9540, 2575, 4055, 267, 3600, 15064, 1374, 267, 23027, 2861, 13113, 3693, 1505, 267, 3600, 15064, 7403 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1284, 5701, 519, 11308, 3774, 593, 519, 2777, 855, 711, 519, 6989, 2094, 519, 9041, 1185, 1100, 2165, 924, 2042, 538, 519, 2250, 563, 271, 269, 3774, 454, 272, 269, 6989, 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 ]
[ 0, 2304, 8097, 17102, 814, 1044, 3710, 547, 2268, 519, 13412, 29870, 543, 19755, 4222, 630, 7116, 15252, 540, 28230, 264, 540, 700, 5456, 288, 19695, 9708, 269, 634, 17102, 3096, 519, 11979, 18085, 850, 591, 11237, 19755, 1935, 547, 2268, 7344, 3601, 538, 513, 4287, 6252, 547, 519, 2208, 4287, 269, 21885, 2164, 616, 4843, 585, 1079, 5036, 540, 7361, 9838, 9708, 9112, 1210, 606, 936, 680, 908, 1505, 269, 2290, 1305, 729, 6850, 680, 730, 1210, 513, 20242, 1206, 8602, 267, 543, 519, 824, 1305, 729, 6850, 680, 730, 1210, 513, 9829, 600, 622, 8602, 269, 1280, 519, 20242, 1206, 8602, 267, 519, 6027, 29870, 540, 22786, 729, 5594, 2539, 982, 602, 540, 13557, 19695, 630, 9264, 13382, 320, 1070, 1247, 267, 585, 519, 9829, 600, 622, 8602, 267, 621, 729, 5111, 3368, 630, 11152, 13382, 320, 1040, 634, 4222, 3601, 540, 519, 1079, 5036, 540, 9708, 849, 8428, 13497, 269, 5843, 14551, 1145, 7403, 267, 10312, 539, 594, 517, 2142, 600, 2592, 540, 10286, 2497, 267, 543, 17655, 6475, 22794, 630, 306, 4932, 264, 2890, 23054, 338, 540, 5821, 4525, 616, 1031, 547, 2417, 21656, 543, 2491, 519, 3604, 538, 519, 2164, 269, 901, 7471, 4152, 1935, 11729, 513, 5812, 1305, 540, 1239, 3823, 1570, 3601, 267, 10286, 2450, 23995, 4450, 543, 5821, 6127, 269, 15783, 2959, 540, 8097, 5470, 616, 849, 4857, 543, 9283, 538, 4603, 1374, 616, 6700, 547, 2569, 891, 6959, 563, 31871, 540, 3817, 1475, 1724, 2008, 347, 22711, 1475, 22711, 540, 5843, 19491, 4435, 22817, 7010, 2008, 347, 13750, 1475, 13775, 910, 9484, 476, 1220, 272, 2008, 289, 9560, 7240, 4063, 293, 27448, 6176, 912, 10048, 11245, 4607, 5147, 476, 2918, 267, 476, 1220, 271, 282, 15428, 5130, 476, 2918, 267, 476, 1220, 272, 269, 901, 960, 729, 6462, 676, 519, 16470, 11628, 3194, 5741, 10837, 630, 291, 2752, 5183, 1070, 519, 3557, 540, 17039, 998, 519, 8274, 540, 3204, 757, 630, 26581, 7434, 570, 625, 5358, 264, 543, 18549, 998, 519, 4741, 585, 11628, 5843, 560, 23461, 543, 20905, 630, 290, 4456, 291, 1070, 15506, 517, 22748, 613, 267, 543, 1401, 343, 517, 11906, 17113, 269, 13595, 15503, 661, 269, 744, 828, 1889, 1512, 563, 268, 23299, 2079, 454, 268, 4400, 23829, 1051, 5223, 2890, 560, 23461, 630, 295, 2752, 16039, 994, 268, 10049, 4152, 454, 3008, 297, 290, 2480, 22455, 1641, 2127, 454, 268, 20996, 7177, 454, 268, 15379, 543, 18329, 7177 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26668, 7285, 540, 513, 20008, 6782, 723, 5232, 2433, 13662, 25201, 454, 13425, 17918, 11833, 17423, 3004, 14982, 585, 519, 26257, 3427, 17423, 1234, 548, 1162, 5291, 2517, 326, 3901, 743, 889, 2593, 270, 7343, 9199, 1188, 692, 898, 568, 4867, 476, 1240, 3967, 476, 1001, 278, 267, 476, 1724, 281, 7871, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 258, 12866, 7285, 540, 513, 20008, 6782, 723, 5232, 692, 12041, 24606, 454, 25938, 1640, 15440, 454, 16274, 281, 476, 4905, 2904, 476, 1220, 275, 454, 15803, 281, 476, 28656, 454, 19613, 281, 7330, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 9818, 1496, 271, 3910, 2016, 281, 476, 271, 692, 26668, 7285, 540, 513, 20008, 6782, 723, 5232, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 4905, 7325, 476, 1220, 275, 267, 476, 1626, 281, 4905, 454, 876, 281, 876, 692, 11795, 22187, 1384, 18217, 12458, 2020, 9223, 853, 1846, 1384, 271, 260, 630, 876, 281, 876, 264, 2953, 476, 271, 260, 630, 876, 281, 876, 264, 4636, 1759, 593, 476, 271, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 1607, 1888, 568, 19526, 269, 1403, 596, 1616, 547, 1865, 713, 2243, 5225, 556, 1790, 739, 621, 538, 519, 9757, 8468, 780, 26668, 7285, 540, 513, 20008, 6782, 723, 5232, 6606, 281, 343, 267, 273, 343, 267, 273, 343, 267, 273, 343, 267, 274, 343, 269, 4855, 1871, 540, 476, 274, 343, 5086, 888, 10048, 4526, 454, 16274, 281, 476, 1015, 9947, 476, 1220, 275, 454, 15803, 281, 476, 10695, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 275, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 4905, 7325, 476, 1220, 275, 267, 476, 1626, 281, 3393, 454, 321, 758, 338, 3570, 5206, 912, 26668, 7285, 540, 513, 20008, 6782, 723, 5232, 6606, 281, 343, 267, 273, 343, 267, 273, 343, 267, 273, 343, 267, 274, 343, 269, 4855, 1871, 540, 476, 274, 343, 5086, 2496, 763, 2040, 540, 519, 9703, 7285, 568, 476, 5197, 16732, 276, 268, 273, 6661, 25851, 692, 27784, 1535, 266, 273, 343, 266, 273, 343, 266, 273, 343, 266, 274, 343, 284, 25851, 454, 27784, 476, 1015, 343, 284, 25851, 18092, 1535, 284, 7918, 454, 27784, 476, 274, 343, 5086, 815, 274, 265, 7918, 284, 14341, 454, 6303, 318, 692, 268, 7049, 3780, 568, 835, 2600, 6667, 267, 543, 562, 27197, 5991, 710, 2600, 1086, 17508, 780, 3725, 281, 13662, 20008, 6782, 5231, 1496, 258, 21529, 316, 476, 4905, 7325, 476, 1220, 275, 267, 476, 1626, 281, 3393, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1480, 1560, 814, 2919, 922, 6634, 540, 13285, 547, 581, 3810, 3222, 540, 1018, 4422, 593, 1312, 3330, 543, 3544, 540, 621, 269, 901, 2337, 721, 547, 4188, 547, 519, 3544, 1158, 269, 9453, 938, 13285, 543, 938, 2634, 267, 799, 568, 513, 1062, 540, 13285, 267, 649, 7948, 1405, 917, 1018, 781, 8345, 269, 1809, 649, 2628, 585, 938, 8417, 269, 1284, 666, 1745, 1928, 950, 519, 13581, 652, 3364, 568, 4636, 609, 1022, 851, 540, 938, 1560, 269, 634, 1686, 540, 25711, 476, 568, 1759, 593, 519, 1480, 1560, 1373, 1930, 547, 1928, 269, 1809, 972, 568, 513, 1259, 547, 6023, 1928, 269, 6733, 693, 519, 4095, 535, 752, 597, 476, 945, 18795, 593, 513, 5127, 540, 18969, 269, 674, 752, 15077, 666, 2322, 513, 13549, 1318, 998, 606, 6186, 267, 543, 1745, 1100, 1928, 269, 901, 2702, 602, 930, 3425, 723, 2919, 547, 6023, 1928, 1058, 2285, 721, 2093, 827, 875, 519, 2247, 666, 4308, 609, 1928, 269, 634, 2462, 3364, 538, 609, 9227, 1928, 568, 938, 10182, 4724, 621, 269, 1403, 519, 11290, 3081, 267, 834, 1607, 786, 10413, 513, 2370, 2437, 621, 2337, 721, 547, 3398, 519, 1928, 269, 1635, 9363, 17159, 267, 543, 676, 8156, 519, 1928, 607, 606, 4277, 14815, 476, 2073, 649, 666, 6023, 519, 1928, 1510, 9991, 6306, 269, 2991, 782, 267, 4352, 1928, 568, 606, 18473, 14815, 267, 621, 568, 1869, 513, 14815, 267, 543, 17915, 616, 519, 8631, 540, 1272, 269, 1548, 568, 1898, 585, 1004, 547, 1796, 1928, 2687, 547, 519, 5856, 888, 271, 269, 4256, 11005, 563, 272, 269, 4256, 1719, 454, 273, 269, 4256, 13285, 563, 274, 269, 4256, 10182, 563, 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 ]
[ 0, 306, 6295, 21153, 8017, 8641, 1227, 910, 32712, 14691, 6435, 692, 12709, 2433, 8081, 2433, 6732, 6435, 2433, 4569, 29393, 2433, 8641, 532, 2433, 9978, 2433, 4569, 7343, 338, 13478, 6295, 296, 928, 638, 8017, 20877, 1227, 692, 306, 6295, 21153, 8017, 8641, 1227, 692, 6301, 10417, 21153, 8017, 666, 581, 6719, 3113, 1227, 281, 1269, 344, 285, 325, 13375, 3287, 9368, 7751, 28812, 519, 1305, 540, 2798, 1657, 519, 3113, 540, 1269, 344, 284, 325, 13375, 3287, 9368, 30879, 1269, 344, 315, 613, 535, 13375, 3287, 9368, 7751, 28812, 519, 1305, 540, 2798, 1657, 610, 593, 519, 3113, 540, 1269, 344, 284, 325, 13375, 3287, 9368, 30879, 1269, 344, 28812, 519, 1305, 540, 2798, 2630, 519, 3113, 540, 1269, 344, 284, 325, 13375, 3287, 9368, 30879, 1269, 344, 315, 548, 535, 13375, 3287, 9368, 7751, 529, 519, 1305, 540, 2798, 2630, 610, 593, 519, 3113, 540, 1269, 344, 284, 325, 13375, 3287, 9368, 30879, 5231, 634, 4999, 540, 2789, 971, 16526, 568, 6719, 607, 519, 10167, 540, 519, 5036, 5018, 1657, 780, 8196, 519, 6749, 1524, 8638, 547, 3442, 513, 5276, 3830, 267, 543, 3442, 2436, 547, 1305, 621, 3152, 982, 267, 3152, 982, 610, 3160, 547, 267, 1447, 982, 610, 1447, 982, 610, 3160, 547, 476, 271, 269, 2422, 519, 2638, 7901, 525, 547, 3442, 799, 16526, 547, 946, 269, 634, 3070, 28367, 593, 519, 1318, 4564, 782, 2798, 4399, 3847, 7268, 4118, 4226, 12757, 4153, 4118, 4226, 346, 267, 4153, 4118, 4226, 26635, 4153, 2431, 7751, 1109, 7474, 14183, 782, 519, 16526, 596, 723, 6074, 780, 1269, 271, 259, 1269, 285, 11377, 613, 2330, 283, 11377, 548, 259, 1535, 3917, 273, 20080, 266, 274, 265, 344, 268, 1428, 21147, 3917, 268, 273, 1269, 271, 259, 1269, 285, 11377, 613, 2330, 283, 11377, 548, 259, 476, 273, 14870, 3917, 274, 265, 344, 266, 273, 343, 268, 276, 265, 344, 268, 28670, 266, 278, 20080, 3917, 1269, 271, 259, 1269, 285, 11377, 613, 2330, 283, 11377, 548, 259, 1535, 268, 273, 344, 266, 275, 20080, 266, 10219, 20080, 268, 273, 265, 344, 266, 277, 2190, 268, 277, 265, 344, 14870, 19638, 2859, 4569, 7343, 338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 950, 15207, 4956, 646, 4941, 547, 1451, 875, 547, 1628, 513, 2203, 20987, 269, 1261, 6785, 602, 1565, 1945, 1007, 3217, 2259, 543, 1445, 267, 865, 646, 4280, 1010, 2462, 11078, 21667, 585, 930, 948, 780, 257, 299, 1075, 344, 2437, 1767, 15207, 267, 834, 296, 2731, 1616, 547, 1628, 713, 20987, 267, 855, 594, 1205, 26531, 3362, 269, 7316, 781, 519, 1655, 1747, 585, 803, 547, 1353, 12482, 299, 1075, 344, 2219, 585, 513, 4090, 1354, 16460, 267, 834, 11039, 2370, 7015, 267, 782, 1053, 991, 1434, 1353, 6208, 269, 1879, 596, 723, 1346, 267, 596, 666, 1451, 1919, 3533, 543, 3314, 873, 3362, 3010, 20755, 3240, 21330, 23362, 267, 834, 3719, 1141, 1058, 594, 979, 547, 1353, 286, 634, 2713, 4055, 568, 2141, 865, 26776, 15323, 299, 1075, 344, 20493, 543, 14452, 267, 834, 6546, 781, 1318, 256, 589, 9602, 1747, 568, 519, 1655, 5544, 547, 1353, 269, 1215, 827, 649, 1305, 909, 513, 29683, 538, 707, 23103, 286, 2334, 1259, 267, 596, 4465, 1405, 1205, 29169, 676, 1022, 6846, 610, 19240, 3010, 20755, 3240, 8815, 543, 789, 4682, 909, 560, 4202, 547, 1010, 4055, 269, 21667, 5280, 1864, 2312, 1055, 1010, 30255, 11380, 543, 2490, 593, 1010, 11380, 17689, 269, 1306, 789, 5249, 1927, 267, 15207, 3323, 547, 1174, 811, 827, 2679, 519, 2203, 20987, 780, 9617, 1287, 267, 741, 3158, 1572, 856, 689, 1524, 560, 4202, 267, 834, 27736, 267, 12129, 568, 4712, 256, 22067, 1524, 543, 3548, 15323, 20755, 3240, 6743, 25922, 267, 834, 17764, 1100, 267, 594, 4769, 1405, 9096, 2943, 10590, 1809, 21667, 15260, 3293, 1864, 267, 834, 10673, 1405, 5855, 267, 649, 3513, 4584, 909, 1141, 649, 2451, 1055, 1310, 12129, 269, 6153, 1353, 6208, 1491, 942, 543, 9639, 267, 1577, 781, 1832, 8026, 1169, 1554, 3010, 4517, 865, 267, 15207, 4121, 602, 4974, 538, 513, 9602, 1747, 2337, 1864, 13404, 543, 11677, 1344, 269, 1717, 267, 1256, 609, 519, 1655, 540, 15752, 267, 3006, 6397, 14443, 687, 1869, 4755, 269, 2060, 16177, 543, 11007, 267, 15207, 6956, 602, 646, 1131, 5555, 3035, 1967, 538, 13215, 4376, 646, 2322, 1010, 2247, 883, 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, 5472, 1053, 991, 547, 723, 1434, 1353, 6208, 269, 2691, 596, 723, 1434, 1353, 6208, 267, 9767, 666, 1451, 1919, 3533, 269, 2791, 849, 3314, 873, 3362, 269, 1684, 596, 899, 547, 1353, 538, 519, 2713, 268, 3336, 286, 1607, 568, 711, 513, 1434, 1747, 1317, 621, 568, 2356, 1932, 26776, 269, 2791, 991, 547, 1353, 538, 513, 9602, 1747, 267, 3697, 707, 23103, 6993, 9602, 1747, 786, 948, 596, 1152, 1589, 827, 835, 3364, 25467, 596, 786, 1451, 1732, 269, 6969, 596, 2253, 547, 1353, 267, 4777, 711, 7340, 547, 2973, 707, 11380, 6993, 1434, 11380, 1769, 568, 1271, 267, 1729, 334, 269, 1411, 616, 4743, 13110, 3362, 952, 972, 568, 711, 2614, 476, 1769, 269, 1547, 634, 2713, 268, 3336, 568, 711, 513, 1434, 1747, 585, 1353, 1317, 621, 568, 1932, 567, 9041, 476, 1547, 589, 264, 9602, 645, 264, 26776, 595, 264, 2973, 667, 264, 18660, 454, 12585, 912, 289, 264, 26776, 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, 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 ]
[ 0, 4495, 972, 941, 1614, 2828, 3957, 11412, 2946, 267, 700, 21343, 267, 543, 22216, 787, 945, 6068, 547, 1224, 1927, 1169, 1554, 1310, 1153, 269, 1358, 1131, 5531, 538, 741, 5172, 18241, 7944, 540, 519, 5399, 543, 4685, 883, 741, 2835, 267, 1419, 4101, 2933, 547, 1294, 945, 1223, 1224, 519, 1034, 3817, 538, 606, 5662, 780, 3080, 13566, 12784, 267, 789, 4956, 547, 2119, 1945, 1007, 910, 3079, 540, 12721, 1996, 1142, 824, 267, 789, 4941, 547, 960, 1927, 547, 1294, 875, 1082, 3817, 789, 1223, 1224, 538, 2185, 3108, 256, 11412, 2946, 1185, 2141, 1044, 2111, 547, 1224, 1412, 343, 262, 3817, 538, 606, 5662, 267, 1247, 700, 21343, 7307, 476, 2767, 3817, 267, 543, 22216, 787, 729, 2673, 3297, 609, 476, 1839, 3817, 269, 1306, 789, 3459, 2542, 267, 789, 7691, 602, 789, 4769, 1405, 2965, 917, 875, 1082, 3817, 1412, 343, 262, 11542, 585, 780, 2026, 789, 4797, 547, 1224, 267, 11412, 2946, 11432, 1229, 856, 10978, 267, 834, 296, 4898, 875, 1082, 3817, 594, 666, 2731, 1224, 538, 606, 5662, 8119, 700, 21343, 14452, 24617, 267, 834, 11039, 267, 2094, 649, 782, 1224, 585, 519, 1482, 2179, 540, 942, 2221, 267, 1577, 781, 946, 938, 1378, 2985, 12523, 547, 4137, 621, 856, 10590, 2701, 15504, 856, 1200, 21641, 543, 795, 582, 1540, 1524, 930, 9273, 780, 29310, 267, 789, 7229, 875, 1082, 3817, 1142, 3659, 1223, 1224, 538, 2185, 3108, 676, 14921, 741, 2557, 829, 5662, 676, 2185, 269, 11412, 2946, 1705, 630, 13301, 270, 2568, 12684, 343, 267, 799, 16866, 547, 476, 275, 343, 282, 700, 21343, 5206, 1524, 476, 10482, 267, 543, 22216, 787, 23125, 1352, 1223, 1224, 476, 1911, 3817, 269, 1879, 789, 3773, 909, 891, 2338, 267, 789, 4362, 789, 1185, 1224, 513, 6264, 2698, 540, 476, 275, 343, 266, 21172, 3817, 2439, 4913, 267, 950, 789, 6743, 1394, 693, 741, 3355, 9819, 267, 789, 8068, 602, 1256, 1498, 789, 6785, 519, 5916, 2698, 540, 3817, 1224, 267, 789, 1869, 7948, 1405, 3313, 519, 3169, 1871, 540, 1412, 343, 8339, 901, 6397, 6335, 6026, 873, 519, 2956, 540, 1620, 4632, 543, 7403, 538, 1483, 1272, 3871, 269, 6884, 267, 5103, 2348, 2614, 1344, 267, 4466, 1808, 4267, 3884, 1405, 2009, 269, 5020, 666, 8197, 9983, 721, 267, 1454, 899, 2979, 3006, 1281, 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, 2108, 305, 2940, 666, 9096, 2542, 1535, 3817, 538, 476, 2568, 3764, 269, 700, 21343, 666, 1224, 476, 2767, 3817, 538, 476, 2568, 3764, 543, 22216, 787, 666, 1224, 476, 1839, 3817, 538, 476, 2568, 3764, 269, 1403, 789, 723, 1044, 2542, 585, 476, 13301, 3764, 1631, 267, 875, 1082, 3817, 723, 789, 8737, 2542, 538, 2698, 888, 2252, 649, 917, 519, 2626, 547, 519, 1657, 2243, 568, 476, 29044, 267, 1018, 568, 519, 1871, 540, 7164, 4756, 1535, 888, 305, 2940, 666, 9096, 2542, 1535, 3817, 538, 476, 2568, 3764, 563, 299, 21343, 666, 1224, 476, 2767, 3817, 538, 476, 2568, 3764, 543, 22216, 787, 666, 1224, 476, 1839, 3817, 538, 476, 2568, 3764, 563, 2252, 789, 723, 1044, 2542, 585, 476, 13301, 3764, 1631, 267, 649, 666, 5173, 875, 1082, 3817, 789, 723, 8737, 2542, 538, 2698, 563, 305, 2940, 666, 1224, 1535, 3817, 538, 476, 2568, 3764, 267, 865, 538, 476, 13301, 3764, 267, 681, 2940, 666, 1224, 630, 13301, 270, 2568, 264, 2608, 1535, 815, 476, 275, 343, 3817, 563, 299, 21343, 666, 1224, 476, 2767, 3817, 538, 476, 2568, 3764, 267, 865, 538, 476, 13301, 3764, 267, 700, 21343, 666, 1224, 630, 13301, 270, 2568, 264, 2608, 476, 2767, 815, 476, 10482, 3817, 563, 290, 615, 787, 666, 1224, 476, 1839, 3817, 538, 476, 2568, 3764, 267, 865, 538, 476, 13301, 3764, 267, 22216, 787, 666, 1224, 630, 13301, 270, 2568, 264, 2608, 476, 1839, 815, 476, 1911, 3817, 563, 763, 2698, 1297, 540, 3817, 789, 723, 8737, 2542, 568, 519, 2040, 540, 519, 3817, 1142, 1268, 814, 1224, 281, 476, 275, 343, 1341, 476, 10482, 1341, 476, 1911, 815, 476, 275, 343, 1341, 476, 21172, 563, 2171, 616, 2016, 555, 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, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20145, 476, 279, 628, 9990, 692, 7445, 13627, 476, 1704, 715, 332, 14204, 259, 347, 1422, 339, 879, 347, 815, 347, 337, 1422, 9392, 674, 347, 259, 3371, 267, 1269, 347, 293, 347, 284, 2004, 715, 259, 543, 1269, 347, 337, 347, 284, 2412, 4699, 815, 271, 269, 275, 544, 259, 769, 713, 2243, 4399, 9064, 815, 2568, 9745, 315, 15132, 259, 1317, 1269, 293, 259, 2306, 606, 5086, 609, 1269, 337, 259, 513, 8650, 5086, 269, 1269, 347, 1422, 339, 879, 347, 815, 347, 337, 1422, 9392, 674, 347, 259, 1269, 347, 1422, 339, 879, 347, 815, 263, 271, 269, 275, 264, 630, 2004, 264, 5609, 476, 2568, 23373, 15132, 259, 1269, 347, 1422, 339, 879, 24689, 13627, 476, 1704, 269, 3953, 715, 332, 259, 610, 267, 4399, 13627, 476, 1704, 715, 332, 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 ]
[ 0, 290, 4878, 7089, 7352, 566, 543, 8376, 630, 290, 12682, 21925, 543, 32081, 3194, 264, 4647, 3134, 889, 454, 2421, 670, 269, 3223, 327, 17243, 4149, 1177, 28739, 7288, 267, 291, 12991, 269, 23101, 454, 23077, 296, 281, 476, 272, 269, 476, 14689, 270, 1822, 7277, 6924, 277, 5788, 11905, 281, 32253, 563, 23077, 296, 281, 476, 272, 269, 25737, 713, 8313, 269, 670, 843, 1122, 731, 3223, 327, 17243, 4149, 1177, 28739, 7288, 563, 14187, 1348, 338, 2337, 596, 1832, 3950, 540, 2835, 596, 1616, 547, 1224, 269, 700, 1235, 609, 901, 3883, 269, 901, 1433, 568, 711, 2943, 12286, 593, 5903, 18701, 563, 290, 4878, 1297, 8390, 630, 290, 301, 309, 264, 568, 513, 7613, 538, 799, 6810, 540, 519, 11646, 616, 7368, 543, 519, 1297, 540, 28197, 538, 519, 11646, 9775, 1063, 2043, 269, 25767, 1297, 8390, 568, 513, 1826, 540, 7293, 8390, 281, 4481, 267, 621, 568, 513, 1826, 540, 5918, 6473, 610, 32280, 2680, 602, 5540, 513, 9645, 1297, 540, 3490, 8424, 454, 23809, 13408, 811, 982, 476, 1789, 2929, 14327, 585, 24118, 3332, 689, 32212, 299, 12114, 267, 1272, 2257, 13746, 267, 543, 2228, 2835, 269, 3223, 327, 17243, 4149, 1177, 28739, 7288, 670, 267, 23101, 667, 301, 269, 20163, 454, 23809, 13408, 811, 982, 476, 1789, 2929, 14327, 585, 24118, 3332, 689, 32212, 299, 12114, 267, 1272, 2257, 13746, 267, 543, 2228, 2835, 269, 7261, 339, 4094, 564, 32081, 1763, 269, 476, 1220, 279, 282, 11277, 263, 272, 268, 275, 2567, 276, 268, 277, 269, 8222, 281, 476, 272, 269, 476, 14689, 270, 1822, 7277, 6924, 277, 269, 25767, 1297, 8390, 543, 2068, 269, 20163, 281, 476, 4572, 9262, 272, 3451, 563, 295, 843, 1122, 731, 3223, 327, 17243, 4149, 1177, 28739, 7288, 267, 6424, 715, 269, 23101, 269, 25767, 1297, 3604, 1063, 1480, 543, 32315, 345, 2465, 22308, 9696, 1419, 16937, 609, 4525, 540, 703, 6652, 23853, 5299, 1297, 8390, 563, 290, 4878, 1297, 8390, 540, 2890, 11748, 6090, 538, 519, 1480, 11646, 1547, 5843, 6783, 13354, 22308, 10316, 1436, 543, 11118, 21925, 18572, 540, 5160, 10391, 19821, 6291, 538, 1614, 2550, 563, 1607, 13525, 12523, 519, 1297, 540, 14327, 4607, 676, 6054, 689, 513, 4760, 543, 17337, 873, 676, 519, 2698, 1297, 540, 6054, 3370, 538, 602, 4760, 563, 2414, 1205, 519, 1863, 813, 267, 4283, 707, 5985, 6049, 1297, 563, 7628, 519, 2250, 2947, 1296, 267, 5299, 1297, 8390, 630, 290, 301, 309, 264, 814, 7153, 607, 513, 3810, 11342, 1106, 540, 22308, 4586, 7628, 519, 2250, 2947, 1296, 267, 5299, 1297, 8390, 630, 290, 301, 309, 264, 814, 7153, 607, 513, 3810, 11342, 1106, 540, 22308, 8390, 267, 28043, 519, 8884, 1063, 1279, 29627, 1758, 2213, 18784, 9606, 10095, 19260, 543, 2582, 5991, 16197, 582, 728, 2242, 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 ]
[ 0, 258, 20548, 12198, 538, 15216, 334, 24174, 568, 606, 5106, 1031, 547, 1184, 454, 258, 519, 1239, 602, 7024, 519, 17223, 2164, 563, 5814, 533, 2096, 784, 334, 692, 3240, 318, 28947, 815, 533, 2096, 784, 334, 8160, 784, 334, 5141, 1304, 263, 10676, 6889, 29985, 10676, 2580, 2823, 284, 17734, 1704, 994, 3240, 5091, 321, 815, 1250, 318, 28947, 14277, 338, 2217, 5091, 520, 15390, 318, 275, 31116, 3240, 22674, 815, 1250, 5091, 321, 9131, 24108, 23300, 4289, 12774, 815, 1496, 454, 825, 13634, 1038, 834, 318, 573, 9899, 476, 272, 2676, 1038, 834, 14140, 11243, 9899, 834, 297, 2033, 20350, 1038, 834, 18431, 11243, 9899, 834, 2710, 324, 20350, 1038, 834, 7483, 10831, 9899, 834, 27898, 268, 27898, 268, 13199, 273, 20350, 1038, 834, 322, 640, 9899, 834, 289, 1197, 569, 22193, 20350, 1038, 834, 8063, 9899, 834, 7563, 20350, 1038, 834, 32502, 9899, 476, 3445, 273, 1015, 2676, 1038, 834, 16942, 9899, 834, 297, 2033, 269, 2710, 324, 287, 1260, 2821, 269, 1470, 4840, 825, 7684, 692, 2639, 3240, 22674, 27044, 8548, 1415, 17338, 12774, 994, 338, 3263, 815, 1250, 22674, 26098, 4590, 1721, 9041, 538, 5439, 912, 825, 1820, 263, 318, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5705, 1856, 540, 519, 476, 1001, 276, 8496, 7665, 4670, 568, 888, 12585, 281, 674, 1722, 10003, 454, 2704, 328, 1162, 281, 2782, 27258, 630, 32743, 7665, 1070, 8496, 7665, 281, 674, 1722, 10003, 267, 8496, 7665, 476, 275, 267, 8496, 7665, 674, 1722, 10003, 267, 8496, 7665, 476, 275, 281, 674, 1722, 10003, 267, 8496, 3193, 535, 1722, 4155, 267, 8496, 7665, 281, 634, 654, 770, 14657, 267, 674, 1722, 10003, 267, 8496, 3193, 476, 275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2467, 786, 581, 5385, 540, 552, 2173, 5661, 1851, 1053, 1141, 789, 786, 3717, 827, 3584, 929, 557, 16227, 4956, 563, 268, 23527, 281, 14579, 19932, 454, 268, 19932, 281, 13673, 454, 268, 32167, 559, 781, 2085, 281, 476, 1724, 910, 476, 1691, 454, 268, 13088, 547, 581, 1031, 281, 13378, 267, 552, 17733, 267, 17072, 267, 3828, 1231, 10628, 267, 11473, 10554, 454, 268, 13667, 338, 281, 15775, 547, 917, 543, 9236, 10486, 543, 3604, 1063, 4529, 281, 3232, 1272, 267, 1153, 3919, 267, 524, 639, 710, 267, 554, 32528, 267, 7908, 8481, 543, 5389, 563, 268, 4518, 1184, 281, 2552, 9711, 676, 552, 2173, 5661, 267, 946, 540, 21054, 10628, 543, 2756, 27019, 12401, 563, 268, 1401, 4624, 2164, 281, 910, 14568, 1702, 540, 1053, 262, 1378, 1158, 543, 602, 540, 1776, 2528, 454, 268, 16510, 540, 552, 2173, 5661, 267, 6337, 543, 538, 2013, 824, 1862, 1224, 811 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10387, 5328, 2355, 2737, 2270, 2947, 5068, 29893, 18995, 1114, 4664, 269, 634, 2832, 540, 713, 1514, 3929, 6539, 568, 585, 1762, 3283, 547, 4558, 5961, 610, 3615, 1644, 547, 1142, 7553, 538, 1142, 23555, 563, 1607, 6405, 3014, 20674, 2516, 540, 1453, 610, 2043, 547, 2697, 4606, 543, 666, 4196, 547, 2417, 1020, 1983, 547, 4383, 4664, 563, 268, 30449, 29893, 609, 4743, 1913, 610, 8666, 6486, 18071, 1114, 4664, 538, 513, 12805, 3014, 454, 268, 7844, 4743, 1913, 543, 2697, 875, 1866, 1745, 538, 1514, 8658, 269, 661, 3052, 968, 3891, 5654, 8909, 1848, 968, 3891, 568, 8909, 1317, 646, 6499, 1010, 631, 636, 3034, 268, 7844, 4743, 1913, 1644, 547, 1378, 2833, 269, 661, 3052, 269, 968, 296, 1745, 14220, 950, 1250, 7015, 3217, 1250, 1919, 1848, 968, 1432, 2306, 596, 14220, 18313, 268, 17291, 4606, 281, 8571, 5961, 540, 8909, 267, 14220, 267, 6126, 3092, 269, 6029, 1018, 519, 3068, 543, 519, 1560, 5654, 899, 269, 15188, 538, 29893, 563, 268, 15188, 3435, 610, 2994, 538, 29893, 281, 9255, 1114, 4566, 610, 3527, 538, 29893, 547, 948, 4383, 4664, 269, 1879, 4743, 8909, 267, 18901, 267, 7210, 610, 14220, 267, 23074, 606, 2962, 3556, 689, 513, 23555, 563, 268, 476, 276, 29893, 454, 268, 476, 1015, 6486, 454, 268, 476, 272, 2156, 577, 675, 454, 268, 715, 6479, 1374, 2306, 29893, 2653, 547, 4558, 454, 268, 30318, 476, 273, 1296, 266 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13161, 364, 294, 3918, 12255, 27730, 19404, 491, 28884, 26033, 481, 30536, 16088, 30812, 819, 531, 692, 30812, 819, 531, 692, 23536, 1464, 540, 2680, 589, 31411, 593, 519, 1249, 602, 2680, 645, 814, 5949, 568, 1572, 519, 19585, 5506, 543, 2854, 607, 623, 263, 9590, 289, 6393, 303, 263, 9590, 289, 6661, 23536, 1464, 5637, 589, 543, 645, 4523, 270, 17438, 645, 4523, 780, 7078, 1384, 288, 3670, 21758, 5884, 609, 8188, 689, 476, 272, 547, 476, 277, 568, 18202, 7466, 269, 1548, 568, 519, 5506, 602, 519, 3068, 476, 276, 5828, 909, 593, 1101, 2119, 2016, 602, 519, 2040, 540, 519, 1079, 8188, 568, 476, 280, 2496, 303, 4433, 636, 540, 8188, 568, 476, 280, 6661, 275, 270, 3607, 284, 272, 270, 280, 780, 303, 263, 2183, 476, 276, 7140, 909, 593, 519, 1101, 2119, 543, 2040, 568, 476, 280, 6661, 263, 272, 270, 277, 31618, 272, 270, 277, 6661, 272, 270, 3607, 780, 303, 263, 2183, 476, 276, 5828, 909, 593, 1101, 2119, 2016, 2040, 568, 476, 280, 6661, 263, 272, 270, 3607, 31618, 272, 270, 280, 6661, 272, 270, 275, 780, 8855, 1384, 2252, 623, 263, 9590, 289, 6661, 303, 10490, 1070, 6533, 1079, 2621, 589, 543, 645, 616, 4830, 267, 602, 568, 12136, 540, 835, 1281, 711, 3310, 519, 824, 692, 9563, 30536, 16583, 375, 418, 509, 354, 419, 506, 489, 294, 3918, 12255, 27730, 19404, 491, 28884, 26033, 481, 30536, 4970, 497, 30903, 502, 8147, 421, 502, 483, 13644, 375, 418, 505, 368, 14035, 504, 25203, 372, 10429, 367, 24757, 419, 360, 510, 5405, 479 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 290, 1328, 692, 258, 9046, 476, 4510, 274, 6021, 269, 13100, 32693, 17438, 692, 11405, 476, 25546, 29214, 273, 692, 8138, 4784, 593, 476, 275, 4455, 476, 1708, 271, 676, 18281, 305, 454, 1607, 3070, 568, 19526, 269, 1677, 2070, 713, 3070, 267, 596, 991, 547, 1683, 513, 3070, 540, 519, 1482, 2450, 610, 4130, 780, 2162, 4530, 2672, 924, 692, 14818, 21073, 8943, 18452, 543, 19243, 454, 272, 5231, 10426, 454, 301, 815, 476, 6200, 282, 562, 815, 476, 274, 282, 586, 6831, 8091, 815, 476, 271, 269, 6344, 271, 282, 7682, 263, 11274, 263, 3671, 13424, 18217, 19885, 9984, 344, 6831, 8091, 264, 283, 271, 269, 1822, 272, 264, 7682, 263, 349, 1415, 263, 3250, 325, 684, 263, 287, 263, 343, 264, 1143, 1897, 32384, 8443, 271, 267, 1598, 273, 11133, 3287, 13580, 1070, 314, 6200, 267, 1001, 267, 1708, 267, 10711, 267, 1911, 272, 25818, 516, 613, 343, 335, 31526, 1348, 3488, 3671, 13424, 6230, 30670, 262, 24560, 323, 315, 26142, 10954, 10559, 265, 315, 270, 27994, 12887, 332, 2255, 262, 4297, 4297, 4939, 9168, 689, 519, 6085, 540, 1325, 325, 517, 810, 593, 4179, 2517, 4178, 269, 4118, 4103, 2593, 270, 3901, 18350, 25218, 11305, 1328, 24579, 21793, 270, 4510, 274, 6246, 692, 273, 5231, 10426, 454, 301, 815, 476, 1001, 282, 562, 815, 476, 277, 282, 586, 6831, 8091, 815, 476, 271, 269, 271, 4037, 271, 282, 7682, 263, 11274, 263, 3671, 13424, 18217, 19885, 9984, 344, 6831, 8091, 264, 283, 271, 269, 1822, 272, 264, 7682, 263, 349, 1415, 263, 3250, 325, 684, 263, 287, 263, 343, 264, 1143, 1897, 32384, 8443, 271, 267, 1598, 273, 11133, 3287, 13580, 1070, 314, 6200, 267, 1001, 267, 1708, 267, 10711, 267, 1911, 272, 25818, 516, 613, 343, 335, 31526, 1348, 3488, 3671, 13424, 6230, 30670, 262, 24560, 323, 315, 26142, 10954, 10559, 265, 315, 270, 27994, 12887, 332, 2255, 262, 4297, 11723, 274, 5231, 10426, 454, 301, 815, 476, 1708, 282, 562, 815, 476, 277, 282, 586, 6831, 8091, 815, 476, 271, 269, 5881, 280, 277, 282, 7682, 263, 11274, 263, 3671, 13424, 18217, 19885, 9984, 344, 6831, 8091, 264, 283, 271, 269, 1822, 272, 264, 7682, 263, 349, 1415, 263, 3250, 325, 684, 263, 287, 263, 343, 264, 1143, 1897, 32384, 8443, 271, 267, 1598, 273, 11133, 3287, 13580, 1070, 314, 6200, 267, 1001, 267, 1708, 267, 10711, 267, 1911, 272, 25818, 516, 613, 343, 335, 31526, 1348, 3488, 3671, 13424, 6230, 30670, 262, 24560, 323, 315, 26142, 10954, 10559, 265, 315, 270, 27994, 12887, 332, 2255, 262, 4297, 11723, 275, 5231, 10426, 454, 301, 815, 476, 10711, 282, 562, 815, 476, 277, 282, 586, 6831, 8091, 815, 476, 271, 269, 5881, 280, 273, 282, 7682, 263, 11274, 263, 3671, 13424, 18217, 19885, 9984, 344, 6831, 8091, 264, 283, 271, 269, 1822, 272, 264, 7682, 263, 349, 1415, 263, 3250, 325, 684, 263, 287, 263, 343, 264, 1143, 1897, 32384, 8443, 271, 267, 1598, 273, 11133, 3287, 13580, 1070, 314, 6200, 267, 1001, 267, 1708, 267, 10711, 267, 1911, 272, 25818, 516, 613, 343, 335, 31526, 1348, 3488, 3671, 13424, 6230, 30670, 262, 24560, 323, 315, 26142, 10954, 10559, 265, 315, 270, 27994, 12887, 332, 2255, 262, 4297, 11723, 276, 5231, 10426, 454, 301, 815, 476, 1911, 272, 282, 562, 815, 476, 280, 282, 586, 6831, 8091, 815, 476, 271, 269, 10755, 271, 282, 7682, 263, 11274, 263, 3671, 13424, 18217, 19885, 9984, 344, 6831, 8091, 264, 283, 271, 269, 1822, 272, 264, 7682, 263, 349, 1415, 263, 3250, 325, 684, 263, 287, 263, 343, 264, 1143, 1897, 32384, 8443, 271, 267, 1598, 273, 11133, 3287, 13580, 1070, 314, 6200, 267, 1001, 267, 1708, 267, 10711, 267, 1911, 272, 25818, 516, 613, 343, 335, 31526, 1348, 3488, 3671, 13424, 6230, 30670, 262, 24560, 323, 315, 26142, 10954, 10559, 265, 315, 270, 27994, 12887, 332, 2255, 262, 4297, 11723, 2162, 7991, 7066, 5501, 15391, 692, 8340, 519, 16782, 538, 30731, 6239, 543, 3605, 875, 519, 2146, 666, 948, 596, 2439, 9359, 15391, 532, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 454, 258, 2706, 2653, 744, 7495, 2243, 780, 5035, 8298, 3455, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 17107, 1038, 1582, 6155, 1157, 815, 2715, 10926, 825, 1219, 1058, 19530, 300, 20687, 4311, 267, 4626, 652, 2086, 267, 5048, 17107, 1038, 952, 5048, 711, 538, 1582, 6155, 1157, 912, 2018, 1582, 6155, 1157, 314, 332, 20687, 316, 815, 4626, 652, 2086, 454, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 952, 4626, 652, 2086, 910, 1582, 6155, 1157, 314, 332, 20687, 316, 13843, 476, 1015, 912, 3546, 1582, 6155, 1157, 314, 332, 20687, 316, 815, 4626, 652, 2086, 454, 3546, 2132, 6936, 454, 2018, 3116, 912, 3546, 2132, 8771, 19638, 258, 2659, 8298, 3455, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 258, 1073, 329, 815, 8298, 3455, 4590, 258, 4164, 318, 272, 815, 1073, 329, 11075, 746, 19530, 300, 20687, 6025, 574, 652, 2086, 31599, 20687, 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 ]
[ 0, 306, 14954, 880, 2916, 19191, 13983, 3279, 774, 684, 6199, 729, 1851, 5215, 540, 5859, 619, 18486, 593, 476, 1704, 5130, 1282, 17600, 538, 5125, 693, 519, 7269, 540, 519, 12275, 345, 933, 8814, 1930, 2275, 770, 5755, 9553, 563, 294, 516, 3279, 729, 18486, 538, 519, 8498, 540, 700, 6686, 339, 10045, 987, 267, 799, 1185, 2938, 513, 10795, 859, 2109, 676, 678, 3999, 7128, 519, 3018, 1354, 269, 700, 6686, 339, 10045, 987, 568, 16516, 547, 581, 15179, 539, 909, 676, 519, 7269, 540, 519, 9553, 563, 763, 5682, 5428, 267, 799, 568, 851, 540, 519, 4436, 2229, 267, 1767, 519, 15628, 1058, 3398, 519, 14207, 799, 21775, 700, 6686, 339, 10045, 987, 585, 2947, 824, 14252, 543, 585, 8744, 519, 1439, 540, 5755, 946, 4464, 547, 476, 10711, 271, 2864, 982, 476, 10711, 279, 563, 12749, 923, 281, 8693, 1689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 300, 655, 3645, 4303, 568, 513, 1554, 547, 3314, 15468, 12325, 945, 10692, 585, 5191, 269, 898, 568, 1631, 513, 1554, 602, 4564, 519, 4098, 540, 4832, 269, 1306, 519, 1153, 1032, 7475, 621, 568, 513, 942, 585, 3214, 538, 519, 2475, 547, 723, 942, 1055, 563, 763, 2495, 540, 519, 1554, 1419, 4422, 29462, 269, 1284, 723, 513, 2182, 942, 3206, 827, 519, 1004, 649, 22378, 333, 269, 634, 12325, 538, 938, 2729, 945, 723, 5747, 610, 2451, 721, 4734, 30170, 7436, 593, 945, 649, 616, 543, 875, 649, 3442, 547, 2661, 563, 763, 11570, 538, 18703, 267, 20274, 4171, 4884, 729, 30635, 3042, 676, 513, 28575, 602, 20739, 22486, 5321, 267, 3576, 2729, 543, 695, 13593, 9909, 616, 1565, 945, 741, 12325, 616, 269, 27355, 1406, 621, 5863, 602, 3388, 666, 1689, 689, 1018, 649, 917, 547, 1018, 649, 1810, 1406, 917, 610, 666, 1406, 1174, 286, 769, 1175, 513, 8792, 2507, 563, 296, 8910, 899, 596, 547, 1589, 827, 1018, 666, 1689, 538, 513, 8792, 888, 268, 2052, 513, 2078, 1689, 888, 268, 2052, 707, 1753, 1689, 888, 268, 2052, 707, 11994, 1689, 888, 4692, 596, 5581, 1018, 513, 5869, 568, 547, 596, 888, 2252, 596, 941, 547, 1589, 827, 707, 12325, 945, 1131, 789, 581, 888, 2710, 596, 991, 930, 9568, 547, 4755, 1354, 596, 666, 2697, 707, 12325, 888, 296, 993, 2386, 519, 1004, 538, 18703, 267, 20274, 723, 1558, 930, 12325, 789, 2760, 2219, 789, 1131, 2743, 269, 12344, 621, 568, 538, 519, 4064, 540, 513, 1126, 267, 610, 513, 674, 4932, 288, 11832, 267, 610, 513, 4116, 945, 10710, 741, 1126, 779, 1272, 269, 1656, 5310, 621, 568, 513, 851, 540, 596, 602, 596, 2760, 2219, 11478, 2336, 300, 655, 3645, 1554, 1281, 711, 723, 547, 581, 1175, 513, 1554, 547, 3314, 1346, 945, 10692, 585, 5191, 610, 1018, 789, 5156, 538, 267, 621, 666, 581, 513, 1554, 950, 596, 11240, 538, 519, 5898, 540, 1346, 945, 4339, 585, 707, 25778, 3101, 267, 610, 18375, 610, 6418, 4708, 950, 596, 616, 8572, 547, 798, 1346, 1919, 585, 3054, 269, 1358, 948, 596, 1205, 1394, 593, 707, 3952, 269, 1358, 948, 596, 547, 3494, 538, 31811, 513, 1272, 267, 513, 2146, 610, 1256, 707, 5289, 3347, 563, 5970, 513, 1434, 4832, 269, 17949, 519, 1379, 540, 945, 596, 616, 543, 2743, 519, 5869, 602, 849, 6818, 538, 596, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4047, 11286, 6730, 700, 7419, 294, 20591, 292, 17955, 454, 29587, 2068, 267, 607, 1134, 607, 18116, 267, 568, 519, 3056, 2014, 540, 7972, 676, 7296, 269, 769, 1840, 547, 519, 2566, 621, 12662, 593, 519, 2295, 547, 8673, 267, 596, 849, 1205, 513, 19221, 540, 15799, 538, 707, 16209, 689, 519, 13802, 538, 519, 16906, 8673, 267, 799, 6038, 5012, 547, 519, 2182, 2287, 540, 519, 16209, 269, 898, 568, 2009, 585, 7296, 1644, 2295, 3676, 547, 1291, 2550, 547, 723, 7249, 24304, 2295, 5821, 267, 799, 568, 835, 540, 519, 3056, 3123, 540, 2669, 538, 519, 5375, 1158, 563, 10712, 3183, 4679, 1973, 2604, 267, 4679, 707, 1981, 585, 1973, 28163, 267, 543, 849, 11081, 707, 10892, 585, 3635, 267, 799, 666, 782, 1039, 547, 707, 1981, 2188, 585, 18337, 2295, 2068, 543, 8482, 269, 4014, 519, 3441, 547, 707, 2295, 543, 1973, 8043, 689, 7296, 568, 1360, 3978, 267, 1310, 2947, 547, 19939, 1296, 707, 1981, 540, 18116, 4422, 1394, 547, 602, 540, 513, 1875, 23337, 20269, 267, 865, 519, 19692, 596, 16718, 519, 1732, 269, 25003, 568, 519, 2014, 585, 900, 19148, 572, 2742, 538, 32210, 547, 562, 27197, 2600, 540, 519, 2665, 540, 519, 2068, 8995, 563, 15411, 1985, 2985, 547, 3136, 2542 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21761, 18542, 5999, 6168, 4341, 454, 1692, 568, 519, 2262, 4341, 3982, 689, 824, 2147, 17205, 888, 5278, 1455, 19655, 540, 4341, 616, 17374, 267, 1876, 267, 3921, 12099, 267, 840, 1061, 267, 7939, 267, 543, 29417, 269, 2755, 782, 891, 1913, 1611, 834, 320, 6240, 12044, 2962, 610, 5650, 2437, 4341, 10039, 547, 811, 11658, 610, 1808, 3871, 563, 1492, 3652, 540, 519, 3014, 454, 2691, 1522, 17374, 581, 513, 1732, 3514, 982, 4341, 888, 1103, 930, 3871, 267, 519, 1913, 17374, 543, 4341, 616, 10199, 6697, 269, 1717, 267, 17374, 5267, 538, 1875, 516, 31437, 946, 513, 6240, 610, 4341, 540, 2623, 610, 5650, 4122, 7608, 607, 513, 4570, 3391, 563, 1492, 666, 976, 540, 1434, 6492, 454, 2691, 568, 1876, 513, 811, 3617, 3903, 982, 4341, 888, 4407, 519, 19655, 1876, 543, 4341, 616, 2673, 538, 2495, 267, 1876, 10522, 791, 3789, 676, 513, 19988, 6392, 543, 519, 17185, 540, 24150, 593, 519, 851, 540, 782, 1641, 547, 602, 6392, 563, 984, 5674, 519, 1876, 454, 2691, 568, 621, 24534, 547, 946, 3921, 12099, 3079, 540, 4341, 888, 4407, 538, 930, 2665, 5176, 9838, 547, 4341, 267, 3921, 12099, 10039, 547, 606, 1931, 12044, 930, 1469, 540, 5650, 610, 2932, 24451, 676, 513, 3908, 6392, 971, 607, 513, 29109, 563, 287, 307, 800, 293, 756, 338, 7711, 296, 4461, 4820, 659, 639, 10463, 1548, 568, 519, 28395, 540, 11677, 286, 910, 1378, 267, 4865, 269, 4971, 267, 1852, 267, 1033, 664, 267, 1463, 267, 4341, 269, 1948, 13707, 23540, 1765, 20491, 19067, 322, 820, 31822, 17556, 600, 303, 10062, 19699, 264, 8734, 476, 1839, 267, 476, 1001, 280, 454, 320, 2749, 3921, 12099, 454, 8489, 1131, 840, 1061, 581, 513, 10257, 4244, 547, 4341, 888, 763, 10096, 540, 840, 1061, 543, 4341, 7361, 16937, 282, 2705, 267, 840, 1061, 4122, 5267, 1945, 28007, 543, 711, 8078, 2218, 28078, 3335, 998, 3450, 563, 1492, 840, 32383, 540, 2500, 1603, 454, 1103, 1018, 8658, 666, 7939, 1491, 519, 1747, 540, 4341, 888, 763, 1913, 7939, 543, 4341, 616, 19655, 267, 855, 798, 8428, 538, 8356, 766, 269, 13018, 267, 7939, 10522, 13310, 676, 6392, 538, 1931, 547, 1852, 606, 3919, 610, 1062, 563, 2958, 2827, 7133, 6046, 1379, 2371, 454, 2691, 1131, 29417, 581, 513, 1434, 12990, 585, 4341, 888, 763, 1913, 29417, 543, 4341, 666, 581, 1031, 538, 2147, 8658, 267, 855, 29417, 10522, 513, 1876, 21892, 676, 513, 15424, 1560, 563, 320, 29417, 8506, 519, 946, 540, 10160, 26797 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2155, 583, 1807, 32299, 540, 513, 2241, 1895, 910, 2605, 1446, 662, 533, 269, 476, 13923, 476, 1428, 269, 866, 22607, 2020, 12148, 610, 8771, 281, 630, 866, 327, 4700, 634, 862, 583, 1807, 32299, 540, 513, 2241, 1895, 717, 1590, 581, 717, 3294, 780, 12585, 281, 5291, 2517, 4178, 28898, 14315, 12975, 270, 349, 327, 10224, 724, 340, 270, 4118, 276, 4029, 271, 270, 14607, 3620, 342, 268, 753, 25829, 1589, 476, 274, 15005, 454, 16178, 269, 717, 1590, 581, 1875, 8475, 1014, 780, 296, 5206, 519, 4143, 8847, 1934, 269, 5221, 1269, 294, 259, 568, 2241, 8754, 1269, 301, 815, 1422, 346, 573, 315, 4151, 610, 1269, 294, 259, 563, 763, 554, 16636, 5654, 899, 14497, 476, 1428, 269, 736, 8754, 594, 1616, 547, 946, 621, 780, 303, 1601, 2225, 476, 272, 281, 1403, 1269, 301, 815, 1422, 346, 573, 315, 20954, 1287, 1269, 294, 21610, 815, 717, 270, 28381, 573, 315, 348, 1422, 15153, 1422, 338, 830, 336, 717, 10608, 1215, 547, 521, 958, 8521, 2496, 303, 1601, 2225, 476, 273, 281, 1403, 1269, 301, 815, 717, 8961, 1287, 1269, 294, 27798, 815, 1422, 346, 294, 315, 348, 1422, 15153, 1422, 338, 830, 336, 1422, 346, 573, 315, 23201, 1215, 547, 521, 958, 8521, 2496, 263, 274, 4700, 1548, 781, 519, 20932, 2496, 2791, 798, 711, 723, 547, 979, 998, 3815, 2516, 269, 1269, 294, 262, 259, 568, 513, 3339, 32299, 540, 1269, 294, 8961, 865, 972, 616, 1079, 7399, 281, 1269, 294, 262, 7807, 346, 272, 315, 4151, 610, 1269, 294, 284, 294, 262, 10608, 634, 1101, 2013, 568, 1373, 6697, 547, 1269, 294, 259, 1373, 705, 27318, 630, 16694, 602, 1169, 862, 583, 1807, 568, 519, 1541, 527, 12011, 3693, 32656, 2806, 27318, 543, 2241, 1797, 568, 25806, 547, 513, 28023, 1895, 540, 6305, 1931, 269, 1924, 707, 3948, 568, 7301, 267, 8259, 596, 2154, 602, 1269, 294, 259, 568, 1875, 268, 8475, 1014, 563, 1892, 8729, 513, 2603, 269, 2052, 596, 5225, 17145, 856, 875, 519, 1101, 2013, 4399, 858, 717, 259, 2806, 27318, 286, 1656, 666, 596, 11200, 519, 20932, 5225, 286, 1107, 1109, 301, 2967, 4924, 476, 2190, 1412, 1691, 693, 476, 278, 281, 2767, 454, 1892, 1269, 294, 262, 7807, 346, 272, 315, 348, 1422, 29381, 21375, 1422, 1721, 718, 1535, 11971, 1422, 514, 717, 281, 1535, 13064, 272, 348, 344, 13064, 272, 348, 15383, 284, 272, 1422, 29381, 21375, 1422, 1721, 718, 1535, 11971, 1422, 514, 717, 281, 27976, 284, 344, 343, 1422, 29381, 21375, 717, 259, 568, 705, 27318, 269, 634, 20932, 286, 1403, 1269, 294, 259, 568, 2241, 2119, 547, 547, 1265, 834, 20598, 257, 3339, 1016, 25364, 18121, 313, 31855, 1070, 717, 3299, 3267, 7751, 799, 723, 547, 581, 24735, 610, 519, 2898, 1895, 269, 1107, 1109, 301, 1157, 344, 1261, 330, 3122, 4924, 476, 1839, 1412, 1691, 693, 476, 276, 281, 6349, 454, 1892, 8729, 513, 2603, 269, 5455, 341, 6838, 269, 2052, 596, 5225, 17145, 856, 519, 1101, 4399, 858, 259, 281, 1269, 294, 262, 7807, 346, 272, 315, 348, 1422, 29381, 21375, 1422, 1721, 718, 1535, 11971, 1422, 514, 717, 281, 1535, 13064, 272, 348, 344, 13064, 272, 348, 15383, 284, 272, 259, 286, 1656, 666, 596, 5225, 2626, 538, 707, 2626, 543, 1847, 8292, 883, 707, 2626, 286, 1107, 1109, 301, 2967, 4924, 476, 1839, 1412, 1691, 693, 476, 280, 281, 6246 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5445, 28389, 2659, 7638, 4472, 10341, 2340, 498, 478, 634, 2790, 4305, 540, 8380, 1913, 1927, 538, 513, 30573, 11015, 666, 849, 948, 707, 1893, 1983, 269, 1323, 9721, 1353, 6743, 693, 513, 1895, 540, 6280, 1053, 945, 1705, 835, 2241, 30573, 11015, 829, 1554, 585, 476, 275, 4374, 269, 1358, 5469, 2406, 4824, 741, 11913, 2792, 1983, 3379, 547, 1346, 945, 1705, 711, 798, 1022, 13410, 563, 288, 30573, 11015, 24626, 568, 1360, 3532, 1907, 269, 2705, 922, 4390, 543, 1379, 568, 1312, 568, 922, 6574, 8467, 607, 1134, 607, 4222, 1317, 15029, 519, 30573, 11015, 24626, 568, 2111, 547, 2132, 2647, 2164, 269, 519, 942, 2838, 547, 6707, 1184, 891, 543, 9004, 799, 3283, 616, 4143, 543, 799, 3283, 616, 711, 269, 666, 581, 513, 18646, 727, 269, 543, 11432, 2730, 4305, 563, 2421, 2098, 2033, 623, 269, 16114, 328, 6210, 593, 4119, 476, 6860, 267, 476, 1001, 279, 9061, 5320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10403, 3014, 585, 4098, 24025, 269, 2422, 713, 1187, 3014, 1282, 4099, 942, 610, 538, 1507, 1895, 6044, 269, 834, 19530, 713, 1863, 267, 1187, 3014, 547, 948, 707, 1053, 4487, 1346, 16602, 4098, 24025, 256, 1403, 707, 4098, 5467, 2115, 948, 609, 1346, 16602, 4098, 24025, 267, 2119, 713, 3014, 256, 901, 568, 513, 2241, 3014, 547, 1820, 543, 1404, 269, 2991, 596, 1820, 621, 267, 1205, 4730, 4773, 543, 513, 5884, 269, 8844, 1472, 519, 4604, 543, 1224, 1142, 6292, 540, 1913, 602, 596, 2244, 593, 269, 5808, 1197, 4991, 547, 5685, 880, 1101, 267, 17993, 269, 11822, 30882, 4322, 17676, 595, 2393, 773, 9697, 7129, 616, 1187, 2979, 3756, 1390, 585, 8026, 1840, 267, 12408, 543, 30945, 547, 4557, 7132, 1297, 6284, 256, 901, 1863, 7792, 2979, 2534, 568, 3501, 585, 18014, 267, 2776, 298, 267, 15206, 267, 476, 272, 560, 3446, 267, 476, 273, 526, 3446, 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 ]
[ 0, 276, 18838, 2055, 454, 276, 631, 10248, 2055, 454, 268, 769, 513, 5182, 781, 1292, 5311, 519, 3693, 13322, 27702, 568, 1373, 535, 4310, 883, 519, 3693, 13322, 27702, 563, 268, 1548, 3337, 568, 519, 27305, 10158, 14925, 888, 268, 6904, 3069, 6941, 602, 782, 2339, 538, 519, 7122, 9450, 689, 513, 2582, 1448, 888, 268, 1548, 568, 519, 1034, 4922, 7608, 7778, 585, 875, 519, 7122, 4646, 888, 268, 1548, 568, 519, 2012, 540, 519, 14925, 649, 2661, 538, 888, 268, 513, 18700, 454, 268, 536, 7250, 267, 26775, 454, 268, 524, 27305, 10158, 454, 268, 546, 634, 8262, 10854, 7869, 454, 268, 552, 8262, 10854, 3069, 454, 276, 13038, 3903, 2055, 454, 268, 3043, 21221, 454, 268, 2699, 282, 630, 344, 3641, 267, 3043, 5148, 4544, 454, 268, 476, 1724, 269, 278, 5479, 1296, 454, 268, 3109, 8559, 454, 276, 6936, 270, 16178, 2055, 454, 763, 3677, 513, 5182, 568, 267, 519, 13322, 1693, 922, 1292, 5311, 786, 581, 269, 9890, 10156, 454, 7617, 568, 3677, 281, 513, 3859, 1062, 610, 513, 14925, 286, 9890, 18700, 454, 1432, 1843, 786, 581, 2813, 676, 519, 31975, 320, 950, 519, 31629, 4295, 568, 1447, 982, 827, 476, 276, 2053, 519, 2527, 540, 519, 6129, 286, 9890, 23377, 5182, 454, 1432, 4523, 547, 519, 12334, 540, 513, 1286, 18057, 607, 621, 4485, 513, 26575, 286, 9890, 27305, 10158, 454, 288, 5182, 13788, 922, 2699, 9649, 3942, 950, 621, 5956, 535, 6748, 799, 3693, 286, 9890, 26775 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1215, 547, 9376, 707, 11332, 547, 513, 11332, 1796, 563, 271, 269, 700, 11229, 513, 1863, 5544, 538, 519, 11332, 1796, 543, 1747, 707, 11332, 8868, 538, 621, 267, 2901, 4395, 610, 1394, 267, 627, 31295, 568, 811, 10375, 269, 476, 6875, 707, 11332, 9376, 543, 8905, 621, 998, 519, 11332, 1796, 543, 11332, 8868, 865, 519, 11332, 949, 711, 7485, 1863, 269, 476, 24344, 519, 9376, 1927, 1510, 18343, 519, 1297, 4999, 563, 272, 269, 700, 11229, 513, 1863, 5544, 538, 519, 11332, 1796, 543, 1747, 707, 11332, 8868, 538, 621, 267, 2901, 4395, 610, 1394, 267, 627, 31295, 568, 811, 10375, 269, 476, 6875, 707, 11332, 9376, 543, 8905, 621, 998, 519, 11332, 1796, 543, 11332, 8868, 865, 519, 11332, 949, 711, 7485, 1863, 269, 476, 24344, 519, 9376, 1927, 543, 8095, 519, 1297, 4999, 563, 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 ]
[ 0, 763, 10966, 7040, 17379, 11728, 547, 5873, 513, 3656, 4161, 547, 519, 5313, 2229, 779, 8942, 547, 2149, 513, 3165, 5065, 547, 4993, 563, 288, 1895, 540, 6705, 2282, 519, 5842, 12770, 7345, 543, 15762, 26963, 334, 4149, 534, 808, 10394, 23936, 18647, 1185, 4280, 519, 1175, 1182, 547, 16765, 1248, 519, 12551, 543, 13812, 6796, 779, 9993, 593, 23028, 1216, 689, 519, 25825, 563, 2108, 9213, 779, 3375, 568, 1434, 3377, 585, 519, 5215, 540, 29940, 267, 1496, 306, 659, 26963, 334, 4149, 534, 808, 10394, 23936, 316, 18647, 6705, 267, 543, 3025, 945, 5673, 593, 519, 1072, 540, 4993, 779, 7345, 5937, 12265, 1609, 4231, 543, 922, 5065, 21996, 543, 7320, 2223, 25562, 7313, 1961, 267, 25036, 8689, 585, 519, 7849, 8249, 16470, 7027, 779, 630, 24520, 17584, 264, 1216, 1982, 267, 1767, 538, 513, 3948, 563, 2108, 5475, 3670, 1296, 540, 2182, 10692, 25036, 267, 2221, 779, 5480, 3375, 7475, 7521, 936, 519, 14496, 540, 891, 20038, 2223, 1352, 1767, 563, 24520, 17584, 543, 824, 2825, 2516, 1185, 15548, 538, 519, 5480, 4339, 538, 1489, 540, 519, 12551, 543, 13812, 6796, 563, 763, 7414, 13751, 7690, 630, 12195, 293, 1070, 513, 15061, 1876, 6109, 267, 10692, 585, 6694, 4690, 538, 519, 2013, 563, 22832, 8738, 1782, 267, 12813, 293, 779, 8689, 540, 25036, 267, 1767, 1010, 1895, 729, 25922, 538, 519, 5480, 779, 3375, 563, 2108, 4322, 6042, 723, 2800, 539, 6705, 543, 3484, 4600, 538, 519, 6239, 9503, 267, 2059, 609, 9937, 540, 6634, 540, 7013, 2836, 4613, 2103, 267, 676, 11651, 1154, 5318, 9424, 540, 1216, 2476, 689, 1480, 946, 543, 856, 547, 519, 7414, 7909, 2443, 782, 547, 2119, 547, 2087, 519, 7226, 540, 519, 18647, 1159, 3881, 267, 513, 1614, 20878, 3165, 593, 519, 29510, 15661, 2920, 1592, 2223, 646, 1767, 538, 513, 3948, 563, 2108, 2026, 513, 1267, 267, 7366, 540, 5215, 540, 14143, 540, 2899, 1790, 8793, 3484, 1633, 723, 1044, 7329, 1194, 267, 3484, 4600, 723, 4503, 741, 6009, 267, 543, 6705, 616, 9561, 741, 11396, 1848 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1384, 22592, 6449, 8181, 9191, 1345, 267, 1239, 17107, 453, 19677, 21606, 815, 1239, 454, 453, 19677, 12785, 815, 7183, 692, 5035, 21912, 8266, 1384, 22592, 6449, 8181, 9191, 1345, 17107, 453, 19677, 23584, 815, 7183, 692, 22592, 7903, 4311, 267, 1239, 17107, 453, 453, 339, 5404, 815, 19219, 16597, 994, 453, 453, 339, 5404, 12785, 815, 1582, 23584, 454, 453, 19677, 23584, 815, 31575, 16963, 22592, 7696, 318, 12898, 4311, 267, 7173, 17045, 267, 1239, 17107, 453, 14851, 7173, 17045, 568, 7183, 912, 4848, 16596, 910, 272, 692, 453, 453, 339, 5404, 815, 19219, 16597, 994, 453, 453, 339, 5404, 12785, 815, 7173, 17045, 12785, 454, 453, 453, 2181, 341, 17045, 12785, 815, 31575, 16963, 22592, 16289, 4311, 267, 1239, 17107, 453, 453, 339, 5404, 815, 19219, 16597, 2020, 453, 14851, 1582, 23584, 568, 7183, 912, 4848, 19677, 23584, 815, 31575, 454, 4848, 16596, 476, 271, 692, 453, 453, 18431, 815, 1582, 23584, 454, 453, 453, 6112, 630, 18431, 12785, 2187, 4848, 453, 18431, 815, 2063, 12785, 692, 453, 453, 18431, 12785, 815, 31575, 692, 22592, 1820, 8217, 4311, 17107, 453, 453, 339, 5404, 815, 1582, 23584, 692, 453, 453, 6112, 6025, 5404, 2187, 4848, 13537, 6025, 5404, 21606, 994, 4848, 453, 339, 5404, 815, 31575, 12785, 7531 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 616, 519, 4295, 3344, 540, 513, 2318, 1995, 888, 1692, 1762, 1004, 1745, 827, 7328, 568, 2693, 547, 581, 8185, 6766, 676, 519, 1702, 267, 6791, 543, 1416, 540, 1022, 4079, 945, 616, 3238, 269, 2334, 1797, 596, 563, 2252, 513, 2385, 267, 15321, 610, 16455, 2982, 513, 3668, 540, 1620, 267, 6568, 610, 1489, 267, 713, 1223, 2490, 513, 6345, 2476, 689, 519, 3014, 269, 1306, 519, 4182, 779, 19463, 7328, 267, 519, 5354, 540, 19920, 786, 6108, 630, 528, 786, 723, 6170, 264, 942, 4730, 11176, 269, 901, 12662, 19393, 538, 513, 29341, 2990, 281, 952, 596, 666, 1711, 513, 2318, 1604, 267, 15029, 1620, 519, 1762, 1268, 543, 741, 3460, 540, 1646, 267, 596, 666, 948, 547, 5000, 513, 15400, 2648, 540, 2168, 2534, 543, 11176, 563, 2414, 1265, 856, 811, 267, 2263, 938, 15272, 4886, 18001, 5027, 1404, 4289, 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 ]