SmallDoge/decay_dataset · Datasets at Hugging Face

input_ids listlengths 6 2.05k	attention_mask listlengths 6 2.05k
[ 0, 5814, 14854, 454, 339, 31103, 17482, 3488, 339, 31103, 5073, 339, 31103, 269, 10233, 3488, 1042, 5073, 333, 815, 476, 1220, 454, 3698, 4963, 3799, 267, 737, 2187, 22610, 1775, 538, 2039, 263, 272, 267, 562, 267, 476, 272, 2187, 453, 453, 339, 31103, 269, 3453, 263, 274, 994, 453, 453, 339, 31103, 16000, 263, 11740, 14672, 264, 28768, 22610, 678, 538, 2039, 263, 272, 267, 562, 267, 476, 272, 2187, 453, 453, 339, 31103, 269, 3453, 263, 274, 994, 453, 453, 339, 31103, 16192, 263, 11740, 14672, 2020, 330, 815, 476, 276, 454, 1721, 642, 538, 2039, 263, 272, 267, 737, 267, 476, 272, 2187, 453, 322, 597, 3799, 267, 642, 994, 453, 339, 31103, 16000, 263, 5197, 31574, 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 ]
[ 0, 258, 13127, 353, 487, 12255, 28374, 12571, 491, 31176, 491, 7430, 360, 7430, 363, 11210, 351, 12530, 360, 12530, 499, 11210, 350, 12530, 503, 12530, 481, 12530, 486, 28374, 16533, 493, 24757, 21211, 11210, 496, 12916, 379, 7430, 484, 454, 258, 13127, 353, 487, 12255, 23748, 7430, 360, 18998, 22390, 353, 1911, 11210, 496, 28786, 24662, 454, 23748, 815, 476, 1911, 454, 258, 13127, 353, 487, 12255, 23748, 28374, 19540, 483, 14395, 373, 11210, 496, 22287, 364, 10254, 371, 454, 2745, 263, 3902, 25589, 258, 13127, 362, 504, 12255, 28374, 12571, 491, 31176, 491, 7430, 360, 7430, 363, 11210, 351, 12530, 360, 12530, 499, 11210, 350, 12530, 503, 12530, 481, 12530, 486, 28374, 27962, 24757, 21211, 11210, 496, 12916, 379, 7430, 484, 454, 258, 13127, 362, 504, 12255, 14011, 311, 318, 305, 12442, 11210, 496, 27936, 419, 378, 358, 263, 31801, 492, 27064, 485, 279, 260, 28374, 7430, 353, 11210, 480, 11210, 488, 994, 14011, 311, 318, 305, 12442, 815, 476, 272, 269, 5400, 454, 258, 22614, 357, 492, 20001, 376, 7430, 379, 28032, 350, 21550, 376, 11210, 496, 22287, 364, 10254, 371, 454, 343, 23748, 815, 3902, 2608, 25526, 311, 318, 305, 12442, 454, 2745, 263, 1535, 23748, 25589, 258, 29635, 353, 485, 12571, 486, 28786, 24662, 418, 376, 498, 28997, 501, 31878, 281, 28786, 24662, 5405, 507, 7430, 357, 12571, 490, 418, 30904, 7430, 360, 27310, 7430, 484, 16583, 355, 419, 494, 484, 11210, 496, 5405, 507, 28374, 31176, 491, 7430, 360, 418, 505, 372, 7430, 493, 454, 258, 476, 11210, 353, 12530, 367, 11210, 363, 12530, 359, 12530, 350, 12530, 367, 12530, 486, 263, 272, 11210, 496, 420, 370, 367, 7430, 503, 7430, 497, 7430, 357, 264, 11210, 496, 420, 353, 485, 12571, 486, 28786, 24662, 418, 376, 498, 28997, 501, 31878, 7430, 356, 418, 505, 372, 7430, 482, 7430, 355, 7430, 379, 11210, 489, 454, 23748, 6834, 476, 272, 454, 2745, 263, 3902, 12467, 258, 476, 12530, 485, 11210, 363, 12530, 359, 12530, 350, 12530, 367, 12530, 486, 263, 272, 11210, 496, 418, 372, 505, 7430, 502, 11210, 489, 7430, 497, 7430, 357, 264, 11210, 496, 420, 353, 485, 12571, 486, 28786, 24662, 418, 376, 498, 28997, 501, 31878, 7430, 356, 418, 505, 372, 7430, 482, 7430, 355, 7430, 379, 11210, 489, 454, 23748, 20699, 476, 272, 454, 2745, 263, 3902, 25589, 258, 13127, 505, 505, 31176, 485, 418, 376, 498, 28997, 501, 7430, 359, 7430, 358, 454, 320, 815, 476, 1015, 454, 321, 815, 476, 476, 274, 692, 2745, 263, 1412, 315, 3534, 284, 3299, 513, 12467, 2745, 263, 1412, 321, 284, 3299, 536, 12467, 2745, 263, 1412, 315, 3534, 17070, 284, 3299, 513, 1341, 536, 12467, 322, 815, 513, 454, 322, 6834, 536, 454, 2745, 263, 1412, 322, 284, 3299, 524, 12467, 2745, 263, 1412, 315, 3534, 1532, 284, 3299, 513, 910, 536, 12467, 322, 815, 513, 454, 322, 20699, 536, 454, 2745, 263, 1412, 322, 284, 3299, 524, 12467, 2745, 263, 1412, 315, 3534, 265, 321, 284, 3299, 513, 2608, 536, 12467, 322, 815, 513, 454, 322, 2608, 284, 536, 454, 2745, 263, 1412, 322, 284, 3299, 524, 12467, 2745, 263, 1412, 315, 3534, 11486, 284, 3299, 513, 1315, 536, 12467, 322, 815, 513, 454, 322, 1315, 284, 536, 454, 2745, 263, 1412, 322, 284, 3299, 524, 12467, 2745, 263, 1412, 315, 3534, 2260, 321, 284, 3299, 513, 12262, 536, 12467, 322, 815, 513, 454, 322, 12262, 284, 536, 454, 2745, 263, 1412, 322, 284, 3299, 524, 12467, 2745, 263, 1412, 315, 3534, 260, 321, 284, 3299, 513, 4939, 536, 12467, 322, 815, 513, 454, 322, 4939, 284, 536, 454, 2745, 263, 1412, 322, 284, 3299, 524, 12467, 2745, 263, 1412, 315, 3534, 1262, 321, 284, 3299, 513, 2878, 536, 12467, 322, 815, 513, 454, 322, 2878, 284, 536, 454, 2745, 263, 1412, 322, 284, 3299, 524, 12467 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23423, 540, 630, 272, 266, 7562, 263, 275, 343, 4297, 22677, 20799, 3287, 4297, 607, 1535, 4422, 547, 476, 271, 31956, 700, 262, 295, 2214, 1388, 781, 14329, 1923, 12834, 543, 1627, 26031, 692, 2537, 269, 277, 298, 5784, 454, 20606, 476, 275, 267, 476, 1001, 275, 454, 2421, 454, 18872, 5155, 1042, 5155, 454, 21918, 527, 540, 630, 272, 266, 7562, 263, 275, 343, 4297, 22677, 20799, 3287, 4297, 607, 1535, 4422, 547, 476, 271, 31956, 700, 262, 295, 2214, 1388, 781, 14329, 692, 1012, 570, 299, 282, 11403, 692, 1607, 1543, 11828, 4466, 519, 3970, 540, 513, 1950, 1599, 676, 1210, 519, 3601, 540, 28422, 836, 550, 543, 700, 333, 780, 1012, 12305, 547, 5681, 3405, 1125, 13334, 27678, 543, 5192, 3690, 5296, 338, 692, 2162, 1627, 281, 1548, 568, 519, 3970, 540, 519, 1599, 607, 2473, 4485, 476, 271, 266, 2496, 763, 3970, 568, 2318, 20581, 950, 2473, 4485, 476, 271, 266, 543, 28422, 836, 550, 568, 3238, 780, 2162, 1627, 281, 1215, 1281, 10962, 513, 1007, 4756, 948, 538, 6061, 519, 1966, 2496, 4504, 18166, 513, 1007, 4756, 2636, 519, 10584, 547, 13861, 519, 3830, 543, 4019, 519, 700, 333, 3959, 267, 28976, 519, 1966, 780, 2162, 1627, 281, 1548, 4523, 950, 519, 19362, 543, 14009, 1312, 1935, 4642, 2496, 2691, 1312, 519, 19362, 543, 14009, 1935, 4642, 267, 519, 3970, 666, 581, 5462, 1210, 561, 262, 295, 20110, 335, 1388, 781, 4341, 780, 2162, 1627, 281, 1215, 1281, 519, 10584, 14458, 519, 28422, 836, 550, 1599, 2496, 763, 10584, 556, 16261, 525, 28422, 836, 550, 2473, 607, 476, 272, 936, 28422, 836, 550, 2473, 267, 799, 2636, 585, 4443, 12879, 540, 519, 3830, 780, 1012, 12834, 1299, 6206, 6875, 25498, 692, 1892, 634, 10584, 1568, 998, 1383, 1297, 5216, 538, 3296, 476, 275, 269, 275, 267, 4466, 519, 3970, 540, 513, 1599, 607, 2473, 4485, 476, 271, 266, 780, 1892, 1879, 2473, 568, 16042, 476, 271, 266, 543, 28422, 836, 550, 568, 3238, 267, 519, 3970, 568, 2318, 20581, 780, 1892, 1677, 14458, 519, 1966, 267, 519, 10584, 12857, 513, 1007, 4756, 543, 3096, 519, 700, 333, 3959, 780, 1892, 1635, 22392, 519, 3830, 543, 7311, 519, 700, 333, 3959, 267, 519, 10584, 568, 2111, 547, 14458, 519, 1966, 2417, 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 ]
[ 0, 4002, 5239, 476, 866, 267, 476, 9965, 272, 267, 538, 3840, 26165, 267, 9098, 267, 519, 3703, 4229, 1147, 16781, 1229, 547, 6723, 6115, 267, 3927, 10678, 519, 21829, 2782, 543, 721, 17518, 538, 519, 2038, 2395, 540, 519, 2136, 2276, 269, 6258, 811, 827, 519, 27119, 613, 540, 3840, 26165, 693, 519, 3840, 26165, 7861, 800, 4741, 267, 513, 9754, 4092, 693, 3840, 26165, 11135, 7615, 2817, 5244, 269, 3840, 26165, 568, 851, 540, 834, 25567, 320, 781, 19866, 21121, 2437, 2059, 609, 519, 7404, 7810, 10034, 540, 11918, 652, 1144, 543, 13879, 7921, 267, 606, 1858, 6322, 693, 3850, 8436, 547, 2170, 609, 519, 2250, 563, 9616, 281, 901, 1344, 729, 4977, 950, 621, 729, 3370, 267, 855, 666, 1689, 1510, 5469, 269, 7490, 581, 2386, 547, 6166, 782, 3928, 543, 3877, 2047, 609, 519, 3549, 538, 2243, 1354, 4058, 707, 7552, 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 ]
[ 0, 3698, 3803, 26000, 2006, 320, 5560, 807, 8029, 825, 1019, 553, 28121, 1477, 1038, 630, 277, 267, 271, 2567, 262, 325, 1400, 632, 5033, 3570, 3299, 1477, 1038, 24042, 263, 9792, 263, 272, 267, 277, 264, 2567, 262, 29953, 632, 5033, 3570, 3299, 1477, 825, 7684, 1477, 825, 1948, 3455, 11456, 1303, 571, 1100, 546, 20601, 9222, 552, 1654, 694, 522, 546, 807, 1609, 320, 7202, 549, 13121, 13005, 5033, 3570, 267, 1477, 825, 1948, 572, 1138, 522, 12908, 11456, 2256, 2041, 522, 9133, 334, 632, 546, 807, 20527, 11188, 568, 810, 829, 14585, 17243, 522, 9598, 1019, 553, 11188, 3688, 552, 635, 6746, 657, 552, 9133, 657, 1477, 825, 1948, 12549, 320, 1106, 320, 2357, 881, 18372, 694, 522, 546, 807, 1217, 5964, 1609, 320, 7202, 549, 13121, 6746, 657, 2099, 15606, 10652, 334, 476, 9598, 1019, 553, 1477, 825, 11718, 14352, 339, 760, 334, 585, 6746, 657, 25722, 760, 334, 538, 1019, 553, 29096, 3890, 952, 546, 807, 538, 6746, 657, 476, 10142, 825, 1948, 698, 337, 1427, 1941, 320, 522, 9133, 334, 798, 546, 807, 1217, 5964, 10652, 334, 16885, 334, 11718, 1477, 825, 2132, 1985, 263, 10090, 1807, 2437, 1262, 29953, 1045, 531, 18480, 14744, 825, 1948, 325, 684, 23843, 1985, 11188, 1583, 19804, 11718, 5897, 3698, 546, 807, 318, 7116, 25222, 5560, 807, 8029, 825, 952, 546, 807, 27045, 4029, 6769, 1038, 2132, 546, 807, 260, 278, 1477, 825, 3116, 6769, 1038, 2132, 476, 278, 5897, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 1029, 262, 6769, 825, 546, 807, 284, 6358, 2891, 21745, 924, 19804, 546, 807, 798, 544, 17845, 338, 281, 834, 3418, 825, 1820, 6600, 1400, 26000, 2006, 320, 5560, 807, 318, 7116, 25222, 17301, 5560, 807, 4297, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 645, 6324, 839, 727, 568, 16515, 828, 17533, 538, 3204, 687, 540, 18629, 888, 1892, 16515, 828, 17533, 630, 307, 289, 264, 568, 519, 3056, 2014, 540, 2669, 1851, 11763, 3676, 563, 1892, 6736, 3875, 3084, 543, 3486, 8942, 547, 2061, 543, 1852, 19505, 267, 519, 2068, 3788, 513, 2101, 2518, 1857, 1072, 6161, 267, 3226, 538, 1970, 268, 543, 1647, 13867, 2477, 563, 1892, 1677, 28433, 3358, 15324, 543, 1225, 894, 7459, 543, 9072, 267, 2312, 2963, 827, 519, 11411, 543, 3466, 540, 1114, 2010, 540, 19505, 543, 922, 6237, 3892, 568, 2877, 563, 1892, 4475, 267, 713, 2963, 5618, 6663, 547, 7447, 519, 11411, 540, 19505, 1851, 7486, 24308, 2043, 538, 18629, 689, 476, 1960, 271, 547, 476, 1001, 280, 676, 3023, 267, 2085, 1895, 267, 3075, 4187, 4567, 267, 543, 4525, 1210, 1239, 689, 519, 6820, 645, 6324, 523, 540, 8376, 5530, 630, 294, 9720, 264, 476, 1001, 280, 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 ]
[ 0, 5035, 7151, 1384, 825, 3688, 815, 7183, 692, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 29096, 815, 2715, 10926, 825, 1219, 1039, 318, 14403, 4311, 267, 1858, 267, 6221, 2187, 1038, 1582, 29096, 314, 19327, 316, 815, 6221, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 5569, 815, 834, 7078, 281, 2715, 834, 692, 1038, 585, 1883, 267, 1871, 538, 1582, 29096, 29096, 10031, 2018, 5569, 6834, 1883, 1341, 834, 281, 834, 1341, 1193, 263, 7407, 994, 2018, 5569, 6834, 27719, 333, 5016, 1038, 5569, 6834, 834, 348, 5016, 1038, 2132, 5569 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 305, 1116, 10003, 338, 547, 8232, 454, 26397, 11261, 281, 4864, 476, 4905, 267, 476, 1001, 276, 454, 289, 22877, 513, 19121, 609, 513, 476, 278, 4303, 5131, 23632, 563, 25567, 320, 781, 12059, 26647, 24327, 585, 15213, 454, 22873, 6053, 2854, 538, 476, 3707, 271, 267, 22798, 10003, 338, 547, 8232, 568, 513, 1134, 1673, 29545, 1433, 827, 989, 337, 4115, 1272, 1282, 519, 4279, 12870, 267, 543, 5645, 513, 11562, 5896, 5705, 1856, 281, 968, 25567, 320, 779, 12059, 26647, 24327, 585, 15213, 6100, 4340, 547, 519, 4589, 267, 519, 1101, 6560, 729, 519, 2112, 585, 1977, 7115, 689, 4279, 6628, 269, 634, 2034, 6560, 729, 519, 1977, 6406, 2782, 267, 799, 16309, 547, 8190, 519, 9769, 543, 26602, 760, 622, 519, 20665, 269, 634, 3791, 6560, 729, 2921, 1747, 1282, 519, 942, 700, 580, 583, 16210, 543, 14780, 933, 941, 1603, 1107, 519, 4279, 12870, 1107, 950, 519, 1977, 1004, 779, 5132, 538, 741, 2797, 543, 2804, 1062, 729, 1373, 695, 2586, 269, 634, 4853, 3500, 6658, 540, 519, 476, 4350, 271, 338, 729, 4397, 676, 1082, 547, 3136, 22543, 17802, 282, 930, 3609, 24237, 5156, 602, 6683, 2877, 547, 581, 15091, 547, 7485, 519, 2197, 856, 540, 922, 6433, 269, 2368, 9289, 2436, 519, 2136, 2276, 1131, 2611, 968, 1492, 2244, 540, 519, 1863, 6100 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 692, 300, 3464, 269, 8431, 340, 3266, 320, 1500, 513, 838, 698, 515, 26152, 12129, 585, 519, 17869, 548, 19470, 1310, 2259, 269, 2701, 12349, 2185, 543, 1614, 2185, 2195, 6550, 540, 14132, 585, 1269, 274, 269, 4200, 829, 11013, 269, 1215, 1454, 2724, 1705, 1352, 6108, 593, 519, 14132, 585, 519, 838, 698, 515, 26152, 286, 259, 278, 269, 1839, 454, 259, 279, 269, 9262, 259, 280, 269, 7176, 454, 259, 1240, 269, 4817, 12226, 476, 272, 269, 634, 1942, 540, 2185, 543, 1614, 21144, 2195, 6550, 540, 14132, 568, 259, 1240, 269, 4817, 563, 11693, 2676, 8649, 870, 540, 14132, 12349, 815, 476, 275, 543, 476, 274, 270, 275, 628, 476, 1109, 335, 2432, 563, 21798, 540, 14132, 829, 11013, 815, 1269, 274, 269, 4200, 1284, 991, 547, 1265, 875, 1454, 2185, 543, 1614, 21144, 2195, 6550, 540, 14132, 1942, 269, 4855, 519, 1942, 540, 476, 272, 11013, 540, 14132, 269, 476, 272, 11013, 815, 259, 274, 269, 4200, 454, 2171, 666, 2328, 2185, 543, 1614, 21144, 2195, 607, 912, 284, 476, 275, 476, 274, 270, 275, 454, 284, 476, 866, 270, 275, 454, 8340, 519, 1942, 540, 476, 866, 270, 275, 6550, 540, 14132, 563, 272, 11013, 815, 1269, 274, 269, 4200, 5564, 28745, 676, 476, 866, 270, 275, 593, 1312, 5011, 269, 476, 866, 270, 275, 1535, 476, 272, 11013, 815, 476, 866, 270, 275, 1535, 259, 274, 269, 4200, 454, 866, 270, 275, 6550, 815, 259, 1240, 269, 4817, 4935, 519, 1942, 540, 2185, 543, 1614, 21144, 2195, 6550, 540, 14132, 568, 259, 1240, 269, 4817, 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, 258, 26344, 6248, 7726, 5609, 317, 273, 263, 5197, 14870, 264, 524, 846, 322, 263, 17734, 21147, 264, 1341, 5430, 317, 273, 263, 11740, 14870, 264, 3813, 263, 5197, 14870, 2020, 1892, 631, 295, 289, 454, 1892, 962, 1794, 534, 280, 4037, 454, 1103, 5758, 267, 519, 6643, 5941, 28976, 519, 4082, 5609, 317, 273, 263, 5197, 14870, 264, 524, 846, 322, 263, 17734, 21147, 264, 1341, 5430, 317, 273, 263, 11740, 14870, 264, 3813, 263, 5197, 14870, 264, 1210, 519, 8847, 540, 524, 846, 322, 3287, 264, 543, 3813, 3287, 1040, 634, 3803, 16866, 4082, 568, 910, 5913, 3287, 1916, 312, 1794, 534, 280, 4037, 454, 8698, 13613, 476, 3445, 272, 273, 692, 1103, 713, 2243, 267, 594, 6836, 713, 1384, 7562, 317, 273, 263, 5197, 14870, 264, 524, 846, 322, 263, 17734, 21147, 264, 1341, 5430, 317, 273, 263, 11740, 14870, 264, 3813, 263, 5197, 14870, 1070, 1141, 524, 846, 322, 3287, 264, 815, 476, 272, 4882, 514, 3287, 264, 543, 3813, 3287, 264, 815, 476, 272, 270, 6523, 3287, 2020, 1606, 514, 317, 273, 263, 5197, 14870, 264, 815, 5609, 317, 273, 3287, 264, 543, 5430, 317, 273, 3287, 264, 815, 5430, 317, 273, 3287, 2020, 268, 763, 5609, 317, 273, 543, 519, 476, 272, 4882, 514, 3287, 264, 666, 2193, 856, 2059, 609, 519, 5430, 317, 273, 543, 519, 476, 272, 270, 6523, 3287, 2020, 11997, 267, 594, 993, 2451, 609, 5609, 3287, 7565, 17734, 21147, 264, 1341, 5430, 3287, 7565, 5197, 14870, 2020, 2971, 5900, 778, 906, 692, 1892, 24897, 1744, 582, 476, 1001, 280, 268, 4962, 268, 1704, 693, 476, 278, 269, 2190, 269, 3393, 6751, 26666, 454, 2537, 269, 277, 22995, 5788, 14358, 281, 476, 6924, 454, 7445, 322, 2675, 263, 17734, 21147, 264, 815, 1422, 13320, 346, 272, 7346, 7562, 263, 17734, 21147, 14587, 815, 1422, 13320, 346, 272, 7346, 7562, 263, 17734, 9385, 6523, 12757, 23180, 6523, 263, 17734, 9385, 7562, 12757, 3686, 815, 1422, 13320, 346, 272, 2410, 10559, 6523, 12757, 32556, 7445, 5913, 263, 5197, 14870, 264, 815, 1422, 13320, 346, 272, 7346, 6523, 263, 5197, 14870, 14587, 815, 1422, 13320, 346, 272, 7346, 6523, 263, 5197, 9385, 6523, 12757, 348, 1341, 1422, 7562, 263, 5197, 9385, 7562, 12757, 3686, 815, 1422, 13320, 346, 272, 2410, 10559, 6523, 12757, 32556, 13718, 7445, 13320, 3189, 7562, 317, 273, 12757, 12453, 10559, 6523, 12757, 3686, 1341, 1422, 13320, 3189, 6523, 317, 273, 12757, 12453, 10559, 6523, 12757, 32556, 4754, 596, 9096, 689, 1934, 2496, 1012, 476, 272, 269, 1548, 568, 519, 1871, 540, 5609, 317, 273, 263, 5197, 14870, 264, 2496, 763, 1871, 540, 5609, 317, 273, 263, 5197, 14870, 264, 568, 3160, 547, 476, 272, 780, 1012, 476, 273, 269, 1548, 568, 519, 1871, 540, 524, 846, 322, 263, 17734, 21147, 264, 2496, 763, 1871, 540, 524, 846, 322, 263, 17734, 21147, 264, 568, 3768, 18249, 267, 607, 519, 524, 846, 322, 656, 1599, 568, 3768, 18249, 693, 476, 17734, 21147, 780, 1012, 476, 274, 269, 1548, 568, 519, 1871, 540, 5430, 317, 273, 263, 11740, 14870, 264, 2496, 763, 1871, 540, 5430, 317, 273, 263, 11740, 14870, 264, 568, 3160, 547, 476, 272, 780, 1012, 476, 275, 269, 1548, 568, 519, 1871, 540, 3813, 263, 5197, 14870, 264, 2496, 763, 1871, 540, 3813, 263, 5197, 14870, 264, 568, 3160, 547, 910, 272, 780, 1012, 476, 276, 269, 1548, 568, 519, 2949, 1871, 540, 519, 25066, 4082, 2496, 763, 2949, 1871, 540, 519, 25066, 4082, 568, 476, 272, 1341, 11196, 272, 264, 1341, 476, 272, 1341, 11196, 272, 264, 815, 476, 271, 780, 1892, 4937, 4569, 454, 28806, 454, 1556, 454, 21366, 454, 272, 298, 454, 1892, 4937, 4569, 454, 28806, 454, 272, 454, 21366, 454, 274, 298, 454, 1892, 4937, 4569, 454, 28806, 454, 273, 454, 21366, 454, 4817, 272, 454, 1892, 4937, 4569, 454, 28806, 454, 272, 454, 21366, 454, 278, 866, 454, 1892, 20145, 543, 15332, 14581, 6435, 454, 28806, 454, 274, 454, 21366, 454, 29876, 454, 1892, 4937, 4569, 454, 28806, 454, 274, 454, 21366, 454, 273, 298, 454, 1892, 4937, 4569, 454, 28806, 454, 275, 454, 21366, 454, 274, 298, 454, 1892, 4937, 4569, 454, 28806, 454, 274, 454, 21366, 454, 279, 5780, 454, 1892, 4937, 4569, 454, 28806, 454, 273, 454, 21366, 454, 278, 1691, 454, 1892, 4937, 4569, 454, 28806, 454, 277, 454, 21366, 454, 273, 298 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 2913, 561, 581, 519, 5817, 1592, 585, 13936, 519, 2609, 563, 258, 23990, 3597, 10031, 258, 567, 2132, 561, 314, 271, 2639, 16482, 258, 23990, 2385, 9638, 2187, 258, 567, 952, 533, 2652, 476, 271, 912, 258, 11434, 2132, 7183, 454, 258, 567, 8640, 533, 568, 9642, 912, 258, 11434, 2132, 630, 335, 268, 272, 264, 12262, 476, 273, 454, 258, 567, 3116, 912, 258, 11434, 2132, 630, 335, 268, 273, 264, 12262, 476, 273, 454, 16482, 258, 23990, 2451, 9638, 2187, 258, 567, 2132, 476, 273, 335, 266, 272, 454, 16482, 258, 23990, 1318, 9638, 2187, 258, 567, 2132, 476, 273, 335, 1341, 476, 273, 454, 16482, 258, 23990, 568, 318, 29566, 9638, 2187, 258, 567, 2451, 815, 476, 273, 335, 1341, 476, 272, 454, 258, 567, 1318, 815, 476, 273, 335, 1341, 476, 273, 454, 258, 567, 2119, 912, 258, 11434, 952, 561, 314, 3847, 316, 610, 561, 314, 2431, 14158, 258, 19930, 678, 2741, 815, 6936, 454, 258, 567, 4849, 12039, 13286, 912, 258, 11434, 678, 2741, 815, 8771, 454, 258, 567, 3116, 912, 258, 11434, 678, 2741, 815, 8771, 454, 258, 567, 2132, 678, 2741, 454, 16482, 258, 23990, 568, 318, 10174, 9638, 2187, 258, 567, 2132, 533, 2652, 476, 271, 692 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 1770, 11687, 454, 5228, 813, 6230, 617, 1564, 1104, 15080, 692, 5035, 9137, 14818, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 23288, 825, 4530, 4147, 547, 1449, 519, 7180, 540, 519, 9137, 1362, 454, 825, 15981, 692, 825, 1219, 1305, 10000, 4311, 2187, 1038, 23288, 1038, 5590, 909, 1505, 602, 786, 2196, 1354, 1169, 4530, 454, 1038, 23288, 1038, 1582, 269, 2908, 25606, 815, 15080, 3488, 11085, 17395, 4959, 288, 3722, 543, 570, 17751, 299, 3036, 700, 3036, 2894, 313, 12887, 11764, 614, 19141, 14662, 267, 4182, 538, 5046, 268, 866, 32075, 338, 19018, 622, 1764, 593, 3979, 31787, 12887, 1708, 271, 268, 6021, 268, 1321, 307, 4905, 281, 736, 281, 876, 313, 12887, 10059, 2517, 539, 819, 6983, 25699, 2593, 270, 12887, 10059, 2517, 4178, 269, 5500, 9392, 2593, 270, 14835, 11320, 843, 18394, 14428, 582, 657, 23343, 4727, 268, 648, 12455, 2914, 5801, 15581, 11258, 12887, 21158, 543, 18388, 17210, 825, 1219, 1449, 318, 27349, 4311, 2187, 1038, 23288, 1038, 4530, 547, 2638, 5137, 540, 1007, 2376, 3236, 454, 1038, 23288, 1038, 1582, 20596, 12148, 263, 529, 27349, 4311, 269, 2908, 25606, 267, 9209, 2873, 4917, 1363 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4139, 19032, 540, 15302, 630, 2975, 291, 264, 568, 519, 2518, 3044, 585, 8193, 540, 3676, 543, 1072, 2175, 267, 519, 9479, 585, 799, 616, 4909, 538, 519, 8989, 540, 2068, 3466, 543, 7194, 269, 11916, 8193, 540, 5409, 3273, 6856, 7637, 8598, 13315, 519, 8446, 540, 2043, 609, 22686, 5409, 3273, 6856, 7637, 8598, 630, 293, 295, 1040, 769, 3620, 2214, 1388, 8193, 3765, 5035, 5874, 666, 27298, 519, 2702, 547, 8308, 2697, 543, 6895, 3676, 998, 5907, 1072, 5638, 563, 2414, 1224, 713, 2376, 538, 2407, 596, 786, 991, 547, 1118, 513, 8569, 454, 303, 21332, 835, 6066, 1569, 281, 10907, 27854, 1299, 9608, 281, 476, 2190, 5662, 2228, 1569, 290, 2734, 622, 681, 22936, 28968, 281, 476, 2190, 5662, 2228, 1569, 454, 3080, 6066, 1569, 3902, 9623, 454, 268, 1280, 4081, 610, 2123, 1382, 946, 267, 2824, 1412, 10907, 27854, 543, 9608, 7055, 268, 1280, 9746, 681, 22936, 946, 267, 2824, 1412, 290, 2734, 622, 681, 22936, 28968, 7055, 29771, 281, 29771, 547, 9839, 267, 25016, 543, 19449, 27218, 454, 2704, 2819, 513, 1820, 9408, 686, 828, 286, 28787, 2228, 1569, 454, 2704, 2819, 606, 2228, 9408, 686, 828, 286, 6178, 538, 454, 8802, 3563, 281, 8073, 606, 2272, 454, 9743, 6627, 7457, 281, 6178, 538, 547, 3163, 17445, 454, 268, 29175, 730, 9067, 29952, 5416, 264, 543, 22686, 5409, 3273, 6856, 1961, 8926, 538, 519, 18337, 1416, 1770, 281, 1063, 590, 1097, 12848, 543, 932, 776, 321, 4134, 5861, 4802, 9315, 2723, 269, 476, 1001, 279, 282, 476, 6078, 281, 476, 274, 4281, 268, 29575, 454, 268, 1215, 1134, 666, 22686, 5409, 3273, 6856, 1961, 8926, 581, 4857, 538, 606, 5907, 1072, 2594, 6538, 27085, 28058, 25731, 2723, 269, 476, 1001, 279, 282, 476, 1015, 281, 476, 14917, 278, 454, 268, 12259, 658, 5409, 3273, 6856, 7637, 8598, 281, 9687, 1702, 585, 8888, 13261, 3631, 540, 1416, 12991, 520, 4860, 9315, 2723, 269, 476, 1708, 271, 282, 476, 1704, 281, 476, 11740, 268, 4391, 278, 454, 10907, 1061, 539, 281, 5181, 476, 1556, 267, 476, 1708, 273, 454, 3725, 18727, 281, 5181, 476, 278, 267, 476, 1708, 273, 454, 15100, 476, 1708, 273, 8241, 543, 1715, 10215, 5980, 540, 9315, 13519, 543, 18897, 25714, 31048, 976, 630, 3198, 313, 17092, 4811, 264, 543, 519, 9315, 13519, 5980, 540, 5245, 543, 1715, 10215, 630, 5425, 3198, 313, 1040, 15618, 676, 29021, 645, 17679, 269, 2353, 2924, 11603, 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 ]
[ 0, 9223, 281, 1215, 798, 596, 4894, 1212, 1162, 689, 513, 25099, 888, 271, 269, 2422, 513, 7452, 518, 563, 272, 269, 2422, 606, 4401, 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 ]
[ 0, 299, 714, 4280, 538, 3163, 1299, 9119, 30125, 5788, 476, 280, 3275, 3516, 692, 258, 634, 5373, 2982, 513, 1268, 945, 267, 4358, 689, 1964, 693, 519, 1283, 540, 513, 29384, 267, 23638, 1524, 693, 519, 1439, 540, 513, 18052, 267, 13847, 621, 1862, 2496, 763, 5373, 2982, 513, 1268, 945, 267, 4358, 689, 1964, 693, 519, 1283, 540, 513, 29384, 267, 23638, 1524, 693, 519, 1439, 540, 513, 18052, 267, 13847, 621, 267, 543, 8813, 883, 519, 1216, 2630, 269, 1703, 616, 1079, 10092, 676, 799, 519, 1268, 666, 4283, 519, 1216, 269, 14597, 646, 13788, 519, 1216, 693, 513, 3432, 540, 476, 1240, 269, 276, 544, 4882, 3842, 2619, 476, 272, 269, 1215, 3728, 568, 646, 3001, 593, 2619, 476, 273, 950, 646, 13847, 519, 18052, 693, 513, 4463, 540, 476, 274, 269, 1691, 544, 1657, 519, 1216, 286, 22695, 648, 519, 2360, 540, 2011, 4187, 780, 3725, 23428, 454, 1892, 715, 5425, 454, 299, 341, 476, 278, 454, 280, 3275, 3516, 692, 763, 5373, 1522, 581, 1271, 267, 855, 1510, 621, 594, 3513, 530, 4526, 602, 646, 13788, 519, 1216, 693, 476, 1240, 269, 276, 544, 4882, 7488, 540, 519, 2619, 646, 3217, 630, 2421, 5726, 540, 1648, 6393, 2252, 596, 2811, 6998, 827, 1010, 3432, 607, 646, 13847, 519, 18052, 267, 1287, 594, 7058, 649, 9364, 798, 713, 1384, 19417, 1657, 1216, 554, 815, 642, 11054, 1315, 476, 273, 326, 815, 630, 1240, 269, 276, 332, 4882, 264, 11054, 1315, 476, 866, 269, 277, 332, 4882, 11054, 815, 476, 1704, 269, 276, 544, 692, 663, 865, 693, 513, 4463, 540, 476, 274, 269, 1691, 544, 267, 649, 9364, 723, 692, 309, 815, 20734, 273, 724, 264, 815, 20734, 263, 273, 2608, 476, 280, 269, 279, 332, 4882, 11054, 2608, 630, 1704, 269, 276, 910, 476, 274, 269, 1691, 264, 332, 264, 815, 476, 1626, 269, 278, 544, 4882, 31775, 482 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7059, 24154, 1188, 1115, 30415, 2187, 825, 1948, 3503, 707, 3009, 1934, 563, 453, 331, 284, 4289, 4590, 453, 4148, 698, 25716, 454, 453, 6783, 284, 9131, 263, 3299, 10807, 12887, 314, 3299, 11172, 12887, 346, 12887, 348, 23300, 14851, 30415, 314, 271, 316, 538, 5044, 543, 711, 5044, 28827, 30415, 314, 271, 8079, 260, 273, 2525, 271, 2187, 453, 567, 2132, 8771, 454, 22610, 1775, 538, 2039, 12759, 30415, 15892, 453, 14851, 5569, 5157, 316, 538, 5044, 912, 4848, 453, 8161, 284, 6783, 28827, 30415, 5157, 7481, 4848, 14851, 263, 8161, 260, 273, 2525, 271, 2187, 15235, 453, 331, 6910, 30415, 5157, 7481, 4848, 28432, 912, 15235, 453, 18431, 284, 331, 21014, 4590, 15235, 13537, 10857, 770, 994, 15235, 14851, 263, 6783, 28827, 10857, 770, 11924, 272, 2525, 8161, 2187, 20930, 453, 4148, 698, 18989, 454, 15235, 28432, 912, 20930, 16596, 8771, 454, 14851, 12759, 10857, 15892, 453, 16596, 8771, 454, 825, 2132, 9206, 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 ]
[ 0, 292, 11915, 10789, 7726, 692, 16932, 10789, 454, 27665, 6831, 22511, 1133, 817, 11220, 454, 2675, 7359, 476, 272, 4303, 454, 27665, 318, 25270, 16062, 531, 2280, 8096, 276, 692, 1692, 798, 594, 3313, 519, 9386, 540, 519, 1899, 8429, 998, 11196, 274, 267, 275, 264, 543, 630, 277, 267, 273, 6393, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 763, 540, 9386, 540, 513, 1899, 267, 717, 267, 568, 2016, 676, 519, 4542, 1109, 4219, 538, 586, 936, 1689, 538, 1535, 267, 1775, 4318, 269, 717, 815, 1689, 538, 586, 270, 1689, 1535, 780, 4219, 538, 586, 815, 476, 273, 268, 476, 275, 692, 4219, 538, 1535, 815, 476, 277, 910, 910, 274, 692, 294, 815, 630, 273, 268, 275, 8358, 630, 277, 910, 910, 274, 2020, 294, 815, 476, 273, 270, 630, 277, 266, 274, 2020, 294, 815, 476, 273, 270, 280, 692, 21446, 8271, 596, 666, 10208, 519, 2034, 6292, 540, 10974, 689, 519, 519, 1101, 780, 4219, 538, 586, 815, 476, 275, 910, 476, 273, 692, 4219, 538, 1535, 815, 910, 274, 910, 277, 692, 294, 815, 630, 275, 268, 476, 273, 8358, 11196, 274, 268, 277, 2020, 294, 815, 910, 273, 25773, 280, 692, 294, 815, 476, 273, 270, 280, 780, 28775, 713, 2337, 256, 1411, 666, 2307, 1022, 2243, 952, 972, 568, 1022, 3390, 780, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 296, 1810, 1405, 1589, 602, 713, 568, 519, 2953, 2626, 1317, 621, 3081, 910, 273, 270, 280, 593, 519, 4267, 3296, 540, 519, 3561, 780, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 310, 7159, 267, 594, 3190, 539, 909, 519, 2243, 780, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 31800, 1695, 594, 723, 2938, 519, 12161, 692, 4219, 538, 586, 815, 476, 273, 268, 476, 275, 815, 910, 273, 692, 4219, 538, 1535, 815, 476, 277, 910, 910, 274, 815, 476, 280, 692, 294, 815, 910, 273, 270, 280, 692, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 21446, 8271, 596, 666, 10208, 519, 2034, 6292, 540, 10974, 689, 519, 519, 1101, 780, 4219, 538, 586, 815, 476, 275, 910, 476, 273, 692, 4219, 538, 1535, 815, 910, 274, 910, 476, 277, 692, 294, 815, 630, 275, 268, 476, 273, 8358, 11196, 274, 268, 277, 2020, 294, 815, 476, 273, 25773, 280, 692, 294, 815, 910, 273, 270, 280, 780, 28989, 585, 519, 8488, 543, 585, 519, 4636, 2626, 780, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 628, 1846, 21453, 692, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 14188, 596, 1932, 585, 707, 3461, 543, 1620, 780, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 2483, 9802, 476, 1240, 628, 267, 476, 1001, 276, 454, 2483, 9802, 476, 1240, 628, 267, 476, 1001, 276, 454, 22261, 476, 2190, 628, 267, 476, 1001, 278, 454, 13765, 6831, 22511 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8340, 519, 31951, 1071, 268, 24002, 540, 2798, 4171, 8701, 10974, 616, 2433, 630, 272, 267, 5197, 4113, 264, 910, 9119, 543, 10803, 454, 8340, 519, 31951, 1071, 268, 24002, 540, 2798, 4171, 8701, 10974, 616, 10778, 16868, 267, 16564, 264, 815, 630, 272, 267, 476, 5197, 4113, 994, 8794, 1535, 815, 678, 5430, 16564, 543, 586, 815, 678, 5609, 16564, 267, 1141, 630, 343, 267, 586, 264, 616, 519, 2838, 7047, 14198, 1071, 268, 24002, 267, 649, 1205, 454, 343, 815, 476, 272, 6262, 657, 476, 5197, 4113, 264, 543, 586, 815, 476, 272, 4433, 514, 476, 5197, 4113, 994, 30043, 1535, 815, 1107, 272, 543, 586, 815, 476, 271, 454, 30043, 519, 2838, 7047, 14198, 1071, 268, 24002, 616, 630, 1700, 272, 267, 476, 271, 1916, 3519, 1061, 281, 21069, 3213, 268, 15453, 3590, 454, 3674, 972, 606, 5470, 538, 713, 2243, 610, 3070, 888, 25585, 1711, 513, 9043, 593, 32599, 8403, 320, 2593, 888, 272, 269, 22252, 596, 827, 942, 3349, 540, 981, 563, 273, 269, 22252, 596, 827, 1007, 2243, 4574, 563, 274, 269, 1715, 3381, 18862, 1344, 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 ]
[ 0, 763, 808, 990, 1014, 11275, 14459, 17648, 513, 1167, 13001, 3697, 22762, 3740, 12122, 12462, 332, 24599, 617, 4593, 14615, 19962, 547, 519, 10770, 4527, 540, 513, 1062, 540, 20842, 574, 3578, 531, 14768, 21883, 538, 513, 729, 615, 13001, 3333, 9464, 4320, 13988, 609, 267, 610, 2282, 267, 519, 6419, 20337, 658, 7077, 269, 589, 30576, 4526, 5736, 12170, 2203, 540, 519, 11275, 617, 4593, 568, 19034, 547, 6152, 6419, 2361, 7403, 5833, 1282, 519, 9947, 334, 14361, 781, 1101, 476, 2190, 25057, 269, 634, 1655, 17501, 630, 5976, 514, 476, 1789, 808, 990, 1014, 2234, 4512, 264, 11275, 617, 4593, 2203, 568, 6353, 676, 606, 6418, 543, 9018, 8953, 540, 476, 278, 269, 279, 543, 476, 7906, 269, 275, 808, 990, 1014, 2234, 4512, 267, 513, 3368, 13001, 628, 32169, 540, 476, 274, 269, 277, 808, 990, 1014, 2234, 4512, 267, 609, 513, 2627, 3339, 693, 476, 280, 269, 274, 5232, 689, 519, 808, 990, 15572, 545, 15393, 543, 476, 14225, 269, 273, 5232, 1062, 476, 274, 7178, 29978, 269, 1284, 7110, 519, 11275, 617, 4593, 2203, 609, 513, 2034, 1699, 1062, 267, 849, 16876, 547, 519, 6419, 20337, 658, 7077, 267, 9967, 540, 21286, 24293, 14768, 602, 27229, 1198, 519, 4483, 540, 16070, 11610, 547, 21286, 13576, 11919, 269, 14190, 532, 585, 8390, 540, 519, 11275, 617, 4593, 781, 20842, 574, 3578, 531, 543, 24293, 1699, 1949, 689, 835, 476, 7871, 13001, 1485, 10739, 547, 519, 1985, 267, 649, 1020, 606, 4994, 540, 11275, 2214, 8879, 2534, 602, 949, 581, 3730, 538, 7664, 540, 7648, 538, 28050, 7394, 7422, 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, 290, 1328, 692, 19370, 476, 4817, 269, 9717, 1079, 12673, 267, 1265, 519, 5021, 16937, 692, 11405, 476, 29214, 3199, 279, 276, 692, 8138, 4784, 593, 476, 279, 7325, 476, 1708, 271, 693, 476, 1626, 281, 5392, 454, 1607, 3070, 568, 19526, 269, 1677, 2070, 713, 3070, 267, 596, 991, 547, 1683, 513, 3070, 540, 519, 1482, 2450, 610, 4130, 780, 14818, 2672, 924, 692, 14818, 21073, 8943, 18452, 543, 19243, 454, 272, 5231, 674, 841, 454, 338, 272, 815, 1496, 272, 476, 273, 476, 274, 476, 275, 476, 276, 22049, 521, 273, 815, 1496, 276, 476, 275, 476, 274, 476, 273, 22049, 521, 274, 6831, 8091, 815, 1496, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 275, 476, 274, 476, 273, 22049, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 20479, 4661, 834, 338, 274, 257, 630, 663, 6148, 1866, 264, 711, 8655, 1282, 1289, 547, 834, 1478, 331, 777, 2668, 18438, 538, 4530, 272, 630, 1467, 476, 275, 264, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 273, 5231, 674, 841, 454, 338, 272, 815, 1496, 272, 476, 271, 476, 272, 476, 278, 476, 278, 476, 278, 476, 277, 22049, 521, 273, 815, 1496, 272, 476, 271, 476, 272, 476, 271, 476, 272, 22049, 521, 274, 6831, 8091, 815, 1496, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 278, 476, 278, 476, 278, 476, 277, 22049, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 20479, 4661, 834, 338, 274, 257, 630, 663, 6148, 1866, 264, 711, 8655, 1282, 1289, 547, 834, 1478, 331, 777, 2668, 18438, 538, 4530, 273, 630, 1467, 476, 275, 264, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 274, 5231, 674, 841, 454, 338, 272, 815, 1496, 274, 476, 272, 476, 275, 476, 272, 476, 276, 476, 280, 476, 273, 476, 277, 476, 276, 476, 274, 476, 276, 22049, 521, 273, 815, 1496, 280, 476, 273, 476, 277, 476, 276, 22049, 521, 274, 6831, 8091, 815, 1496, 274, 476, 272, 476, 275, 476, 272, 476, 276, 476, 280, 476, 273, 476, 277, 476, 276, 476, 274, 476, 276, 22049, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 20479, 4661, 834, 338, 274, 257, 630, 663, 6148, 1866, 264, 711, 8655, 1282, 1289, 547, 834, 1478, 331, 777, 2668, 18438, 538, 4530, 274, 630, 1467, 476, 275, 264, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 275, 5231, 674, 841, 454, 338, 272, 815, 476, 272, 281, 1911, 282, 521, 273, 815, 1496, 2004, 476, 7906, 22049, 521, 274, 6831, 8091, 815, 521, 272, 282, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 20479, 4661, 834, 338, 274, 257, 630, 663, 6148, 1866, 264, 711, 8655, 1282, 1289, 547, 834, 1478, 331, 777, 2668, 18438, 538, 4530, 275, 630, 1467, 476, 275, 264, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 276, 5231, 674, 841, 454, 338, 272, 815, 476, 3445, 281, 1015, 281, 1220, 282, 521, 273, 815, 476, 1015, 281, 1015, 281, 6344, 282, 521, 274, 6831, 8091, 815, 476, 1015, 281, 1015, 281, 1220, 282, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 20479, 4661, 834, 338, 274, 257, 630, 663, 6148, 1866, 264, 711, 8655, 1282, 1289, 547, 834, 1478, 331, 777, 2668, 18438, 538, 4530, 276, 630, 1467, 476, 275, 264, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 292, 7032, 984, 20393, 2742, 8731, 592, 6242, 8731, 592, 6242, 7186, 306, 2925, 25817, 15661, 18614, 2443, 7186, 306, 2925, 25817, 568, 513, 2707, 585, 22265, 5726, 1344, 593, 811, 982, 476, 2004, 267, 1822, 2371, 267, 2831, 543, 8733, 862, 2863, 885, 540, 519, 772, 2529, 543, 4516, 269, 7186, 306, 2925, 25817, 2488, 538, 3829, 1344, 593, 4686, 543, 13155, 2249, 267, 855, 2882, 1455, 2371, 543, 2831, 1932, 269, 7186, 306, 2925, 25817, 568, 513, 1587, 540, 7186, 306, 2925, 538, 5698, 609, 519, 7849, 11595, 8416, 563, 296, 2316, 306, 18614, 2443, 594, 2316, 306, 630, 1492, 21091, 12525, 21978, 6176, 3590, 264, 568, 513, 2707, 585, 22265, 3454, 21978, 1344, 593, 2371, 267, 2831, 267, 13271, 267, 543, 17973, 540, 3345, 3013, 543, 519, 1158, 9950, 7032, 984, 20393, 2742, 8731, 592, 6242, 267, 4122, 1572, 519, 16321, 743, 539, 19806, 558, 267, 568, 513, 2249, 540, 15195, 1660, 1088, 267, 513, 30114, 23677, 538, 519, 1920, 5742, 13160, 269, 898, 568, 5065, 547, 9456, 3345, 3013, 267, 1141, 621, 568, 2808, 13155, 538, 1312, 4516, 543, 519, 2136, 2276, 269, 901, 2249, 568, 1634, 689, 519, 595, 3784, 1633, 267, 11882, 267, 853, 269, 18039, 267, 543, 17906, 5211, 8963, 1137, 269, 661, 7032, 984, 20393, 2742, 8731, 592, 6242, 568, 513, 10480, 518, 958, 29510, 2249, 538, 1312, 519, 2136, 2276, 543, 4516, 269, 898, 568, 7600, 1227, 29510, 593, 519, 594, 30002, 4414, 5903, 269, 661, 7032, 984, 20393, 2742, 8731, 592, 6242, 568, 2693, 970, 597, 335, 730, 689, 12309, 1813, 547, 546, 1042, 3101, 538, 519, 4563, 5211, 543, 519, 4367, 540, 519, 29588, 1660, 1088, 538, 519, 24354, 5211, 269, 1717, 267, 31607, 5095, 616, 1336, 2066, 8235, 661, 4471, 538, 14411, 267, 4516, 8963, 1137, 563, 293, 16703, 7913, 9012, 7732, 2443, 634, 772, 2529, 269, 12551, 543, 13812, 6796, 779, 2817, 7913, 7732, 568, 513, 3406, 762, 4015, 540, 5697, 2592, 267, 3140, 13742, 267, 8301, 24056, 267, 12326, 267, 543, 3381, 563, 17359, 8745, 281, 16515, 828, 743, 539, 19806, 558, 630, 292, 7032, 984, 20393, 2742, 8731, 592, 6242, 8731, 592, 6242, 994, 8489, 1336, 281, 772, 2529, 6993, 269, 630, 3201, 282, 763, 1863, 1922, 27172, 3914, 540, 519, 17906, 681, 269, 689, 519, 3490, 540, 14355, 12456, 19654, 547, 519, 1394, 31662, 540, 17292, 19213, 1763, 969, 7546, 1496, 12671, 476, 1321, 681, 300, 630, 866, 5998, 13580, 543, 519, 2539, 476, 276, 681, 300, 1496, 279, 5998, 316, 540, 782, 29815, 2456, 547, 713, 3914, 538, 2051, 6975, 543, 5487, 31335, 23014, 15328, 1421, 1294, 476, 1704, 269, 5952, 5416, 4297 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17951, 330, 528, 20242, 568, 606, 11999, 14418, 11454, 1950, 4092, 538, 7187, 25591, 269, 898, 729, 8385, 3710, 538, 519, 1101, 3368, 540, 519, 476, 1321, 628, 2540, 607, 513, 9699, 11454, 269, 24619, 2066, 811, 982, 476, 6110, 14143, 267, 4911, 330, 528, 20242, 568, 1767, 547, 581, 519, 4102, 3909, 15224, 538, 519, 1158, 563, 1432, 568, 2027, 827, 4911, 330, 528, 20242, 888, 17951, 330, 528, 20242, 568, 519, 1034, 4583, 3504, 11454, 3135, 538, 25591, 269, 2060, 922, 476, 276, 2603, 639, 6438, 20610, 8375, 476, 4792, 7397, 883, 519, 6607, 267, 621, 568, 606, 25713, 15564, 25378, 8289, 269, 28210, 538, 13961, 655, 1234, 777, 267, 713, 20648, 2622, 11595, 3135, 729, 2899, 519, 4102, 840, 11897, 12009, 2749, 538, 519, 1158, 563, 3674, 519, 4911, 330, 528, 20242, 513, 18599, 654, 1180, 619, 540, 519, 2622, 888, 299, 11343, 693, 519, 2295, 540, 519, 476, 6110, 5998, 11054, 4911, 330, 528, 16329, 1670, 5244, 267, 4911, 330, 528, 20242, 568, 513, 3090, 540, 25591, 563, 8005, 568, 519, 29659, 2696, 538, 519, 1158, 888, 763, 9030, 25976, 22087, 2006, 629, 13757, 342, 18081, 630, 309, 880, 20692, 264, 568, 1671, 15590, 1441, 538, 519, 968, 2304, 13183, 320, 1744, 27011, 892, 14302, 267, 519, 18163, 15446, 545, 3207, 593, 519, 12808, 1583, 25871, 1520, 328, 590, 1127, 3873, 563, 1607, 2376, 568, 2854, 899, 513, 8261, 610, 3391, 1504, 563, 347, 294, 1478, 940, 1560, 1475, 9199, 341, 4545, 648, 10424, 1920, 2008, 1432, 568, 519, 4102, 1747, 540, 10847, 538, 519, 1158, 888, 1805, 269, 8834, 779, 29092, 3821, 538, 28912, 4975, 267, 519, 4102, 5939, 538, 519, 1158, 563, 347, 24687, 1475, 299, 17999, 20096, 3909, 2679, 538, 519, 1158, 8198, 1432, 1281, 4911, 330, 528, 20242, 21843, 888, 306, 312, 11586, 5357, 26113, 269, 4911, 330, 528, 20242, 568, 513, 20538, 18187, 320, 540, 519, 7122, 538, 6149, 543, 4564, 606, 3618, 569, 2203, 540, 519, 17184, 1158, 269, 634, 3844, 13486, 14380, 689, 519, 4099, 540, 519, 15224, 29544, 519, 26704, 7823, 267, 8585, 340, 267, 13883, 693, 519, 4099, 540, 519, 7122, 269, 4706, 2947, 20610, 5330, 547, 519, 19589, 540, 8585, 340, 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 ]
[ 0, 21900, 21106, 267, 11247, 543, 1257, 1397, 1018, 6191, 798, 543, 875, 789, 960, 269, 17972, 1808, 2930, 6863, 267, 543, 2882, 513, 4052, 4305, 547, 1118, 513, 2241, 267, 2324, 3684, 269, 12698, 476, 276, 268, 280, 563, 347, 9349, 10573, 290, 3757, 525, 630, 19136, 26682, 10245, 347, 12041, 10573, 21837, 3794, 1478, 623, 10154, 3794, 1478, 2008, 347, 21812, 10573, 27319, 11197, 9012, 2008, 31871, 540, 9664, 10573, 1789, 2008, 8923, 8074, 20620, 265, 1284, 6133, 1152, 21832, 1433, 543, 798, 10691, 6133, 2025, 610, 1031, 2835, 563, 265, 634, 1433, 2592, 543, 5758, 10268, 949, 581, 540, 513, 1114, 7160, 610, 11006, 540, 519, 1482, 2140, 563, 265, 3883, 8039, 616, 711, 3773, 676, 3883, 3849, 6767, 563, 265, 12313, 666, 1689, 1813, 547, 1065, 11781, 532, 267, 3902, 1689, 676, 17404, 1315, 2733, 12460, 563, 9349, 3849, 6767, 630, 4178, 269, 1504, 5417, 320, 2593, 264, 568, 513, 30856, 2228, 1433, 4558, 538, 9513, 2835, 2228, 2066, 3127, 693, 519, 1034, 8013, 5777, 269, 3883, 3849, 6767, 23619, 5708, 267, 1870, 267, 1875, 5708, 267, 3332, 267, 3642, 18501, 267, 2564, 267, 4702, 267, 2780, 1433, 267, 3092, 269, 634, 2835, 616, 9447, 2066, 3127, 17676, 540, 1942, 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 ]
[ 0, 9741, 25381, 4941, 547, 27106, 930, 8949, 17154, 14254, 544, 4428, 1231, 585, 1010, 1920, 256, 1261, 10356, 782, 519, 5820, 281, 476, 275, 11680, 540, 27046, 7912, 267, 476, 273, 11680, 540, 30288, 5144, 267, 543, 476, 272, 7484, 540, 4195, 30207, 269, 1306, 646, 3323, 547, 3575, 873, 1927, 267, 646, 7691, 646, 4769, 1405, 917, 875, 1082, 544, 4428, 1231, 646, 1223, 1118, 609, 1346, 9424, 780, 289, 11035, 4280, 1010, 11078, 267, 8861, 267, 945, 729, 4974, 2979, 543, 2257, 267, 834, 27880, 267, 594, 723, 476, 275, 11680, 540, 27046, 7912, 267, 476, 273, 11680, 540, 30288, 5144, 267, 543, 476, 272, 7484, 540, 30207, 269, 1403, 1142, 544, 4428, 514, 2115, 3368, 513, 7484, 540, 27046, 7912, 267, 513, 10116, 7484, 540, 30288, 5144, 267, 543, 606, 21632, 7484, 540, 30207, 267, 875, 1082, 544, 4428, 1231, 666, 594, 1118, 12482, 27880, 2219, 585, 513, 4090, 543, 1767, 267, 834, 11039, 267, 2370, 7015, 267, 1577, 781, 1294, 799, 12146, 786, 2196, 856, 1101, 2094, 789, 2811, 782, 2877, 585, 1169, 544, 4428, 514, 269, 898, 5654, 899, 621, 3513, 581, 519, 30207, 267, 607, 649, 1152, 723, 2614, 585, 5216, 13980, 3010, 2750, 322, 1243, 569, 267, 25381, 7229, 2417, 543, 1336, 856, 789, 1223, 1118, 476, 3953, 26345, 544, 4428, 1231, 256, 1358, 6404, 267, 1085, 17274, 539, 267, 543, 4904, 519, 11256, 26745, 267, 11093, 621, 883, 519, 840, 515, 730, 14089, 269, 5384, 5293, 267, 543, 4166, 519, 10051, 729, 4904, 609, 519, 17175, 24710, 540, 28448, 19323, 13000, 780, 4913, 267, 950, 789, 8118, 519, 14089, 267, 741, 12271, 521, 1678, 282, 1945, 4682, 4636, 269, 2353, 519, 544, 4428, 1231, 941, 6366, 543, 796, 1952, 564, 1944, 269, 19759, 569, 267, 789, 1185, 3765, 20412, 730, 519, 682, 822, 2287, 8665, 2838, 547, 948, 519, 544, 4428, 1231, 4473, 5265, 269, 9282, 25922, 267, 789, 4121, 513, 3407, 3992, 1107, 1256, 609, 3501, 7403, 267, 30534, 2629, 3334, 949, 1291, 547, 6397, 2164, 269, 6884, 938, 6901, 1810, 1405, 979, 607, 9709, 267, 855, 649, 1451, 2059, 519, 1259, 267, 3395, 5923, 518, 543, 811, 9952, 585, 1985, 942, 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, 11693, 519, 5820, 540, 476, 275, 11680, 540, 27046, 7912, 267, 476, 273, 11680, 540, 30288, 5144, 267, 543, 476, 272, 7484, 540, 30207, 267, 1142, 544, 4428, 514, 8506, 476, 272, 270, 273, 7484, 540, 27046, 7912, 267, 476, 272, 270, 275, 7484, 540, 30288, 5144, 267, 543, 476, 272, 270, 279, 7484, 540, 30207, 267, 1018, 568, 519, 5021, 1297, 540, 17154, 14254, 544, 4428, 1231, 602, 666, 581, 1500, 286, 2052, 596, 849, 5173, 519, 2179, 540, 4430, 5820, 6967, 1310, 1818, 519, 5021, 1297, 540, 544, 4428, 1231, 286, 7490, 1683, 519, 10084, 29441, 3009, 547, 12337, 519, 1267, 563, 17780, 593, 519, 2016, 5820, 267, 649, 666, 1118, 513, 5021, 540, 476, 3953, 544, 4428, 1231, 563, 2414, 5173, 519, 5021, 1297, 540, 544, 4428, 1231, 267, 649, 991, 547, 1265, 519, 12146, 602, 786, 2196, 856, 1101, 269, 769, 713, 2013, 267, 621, 568, 519, 30207, 1317, 649, 1152, 723, 476, 272, 7484, 540, 873, 267, 543, 1142, 544, 4428, 514, 3340, 476, 272, 270, 279, 7484, 269, 4475, 267, 649, 666, 1118, 513, 5021, 540, 476, 279, 10627, 2583, 540, 544, 4428, 1231, 267, 1142, 5627, 476, 275, 544, 4428, 1231, 267, 1210, 782, 540, 519, 30207, 563, 9202, 267, 649, 991, 547, 1265, 856, 875, 1454, 27046, 7912, 543, 30288, 5144, 649, 786, 991, 547, 1118, 891, 476, 3953, 544, 4428, 1231, 269, 3962, 544, 4428, 514, 3340, 476, 272, 270, 273, 7484, 540, 27046, 7912, 543, 476, 272, 270, 275, 7484, 540, 30288, 5144, 267, 865, 476, 3953, 18665, 325, 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 ]
[ 0, 1012, 7314, 22364, 28590, 476, 274, 1296, 3516, 22217, 1518, 281, 630, 336, 14370, 336, 317, 273, 8573, 317, 273, 4297, 270, 337, 14370, 337, 317, 273, 268, 336, 317, 273, 2020, 272, 269, 30511, 318, 305, 1853, 320, 692, 7445, 2765, 346, 336, 25452, 263, 336, 8573, 7565, 336, 266, 337, 264, 7684, 265, 315, 2765, 346, 678, 317, 273, 268, 336, 317, 273, 2410, 337, 476, 27874, 1422, 2765, 346, 336, 25452, 630, 336, 8573, 7565, 336, 266, 337, 264, 7684, 265, 315, 2765, 18950, 678, 268, 336, 7565, 337, 266, 336, 3738, 2410, 337, 476, 4153, 11138, 315, 1422, 2765, 346, 336, 25452, 630, 336, 8573, 7565, 336, 266, 337, 264, 7684, 265, 315, 2765, 24877, 272, 263, 7117, 8573, 7565, 336, 266, 337, 3738, 2410, 337, 476, 4153, 11138, 315, 1422, 2765, 346, 336, 25452, 22570, 322, 30327, 346, 336, 8573, 7565, 336, 266, 337, 14587, 7684, 265, 315, 2765, 24877, 272, 315, 322, 30327, 18950, 7117, 8573, 7565, 336, 266, 337, 3738, 12453, 337, 476, 4153, 11138, 315, 31386, 2765, 24877, 336, 25452, 678, 476, 10592, 273, 269, 7314, 22364, 28590, 692, 1432, 952, 621, 729, 1840, 3079, 540, 8691, 2496, 274, 269, 795, 327, 3415, 344, 280, 692, 15290, 596, 991, 7941, 1079, 8454, 1175, 12750, 773, 1101, 676, 2034, 538, 951, 539 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7689, 1948, 1704, 6341, 7204, 20518, 1903, 269, 634, 1611, 540, 513, 10386, 3892, 568, 1572, 519, 4397, 1871, 540, 519, 18802, 269, 634, 3044, 11539, 540, 513, 10386, 780, 1012, 19809, 593, 6249, 281, 834, 8893, 1948, 1704, 6341, 7204, 20518, 1903, 269, 634, 1611, 540, 513, 10386, 3892, 568, 1572, 519, 4397, 1871, 540, 519, 18802, 269, 634, 3044, 11539, 540, 513, 10386, 1701, 1765, 19809, 13973, 1384, 8893, 1948, 1704, 6341, 7204, 20518, 1903, 692, 763, 1611, 540, 513, 10386, 3892, 568, 1572, 519, 4397, 1871, 540, 519, 18802, 269, 634, 3044, 11539, 540, 513, 10386, 3892, 568, 1572, 519, 3044, 5470, 540, 519, 18802, 692, 21579, 7204, 17392, 540, 1403, 2473, 9625, 715, 263, 19569, 511, 267, 19569, 367, 476, 273, 16532, 1287, 692, 23338, 23423, 14497, 1280, 562, 18481, 1804, 267, 519, 10386, 3892, 540, 568, 693, 2547, 5111, 16453, 585, 1022, 5817, 3892, 2439, 311, 9625, 715, 263, 19569, 511, 267, 476, 2412, 476, 273, 3738, 19569, 511, 19569, 511, 1341, 2412, 19569, 511, 910, 2412, 623, 263, 19569, 511, 910, 1015, 2999, 2473, 2999, 19569, 511, 1341, 1015, 264, 815, 623, 8987, 269, 1839, 2999, 2098, 2999, 269, 1839, 264, 19569, 511, 910, 1015, 19569, 511, 1341, 1015, 815, 623, 263, 313, 2999, 269, 1839, 264, 1107, 623, 263, 313, 2999, 910, 269, 1839, 264, 815, 269, 6795, 279, 278, 910, 269, 25002, 274, 815, 269, 3192, 275, 5940, 269, 540, 2473, 692, 311, 9625, 715, 263, 19569, 511, 267, 476, 2412, 476, 273, 3738, 19569, 511, 19569, 511, 1341, 2412, 19569, 511, 910, 2412, 19569, 511, 910, 1015, 19569, 511, 1341, 1015, 5940, 269, 540, 2473, 623, 263, 19569, 511, 910, 1015, 2999, 2999, 19569, 511, 1341, 1015, 264, 815, 623, 263, 313, 2999, 476, 273, 269, 276, 264, 1107, 623, 263, 313, 2999, 910, 273, 269, 276, 264, 815, 269, 7176, 278, 277, 5940, 269, 540, 692, 12606, 533, 696, 834, 8893, 1948, 1704, 6341, 7204, 20518, 1903, 269, 634, 1611, 540, 513, 10386, 3892, 568, 1572, 519, 4397, 1871, 540, 519, 18802, 269, 634, 3044, 11539, 540, 513, 10386, 3010, 13436, 14245 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14457, 533, 2056, 11808, 454, 2207, 2975, 7089, 281, 11581, 26727, 4391, 275, 454, 13434, 867, 7392, 281, 681, 23966, 454, 26397, 11261, 281, 476, 2735, 275, 5336, 599, 454, 27270, 4032, 281, 476, 271, 454, 29638, 853, 699, 8040, 543, 4317, 32018, 563, 292, 698, 569, 267, 7705, 670, 563, 763, 2601, 602, 1004, 1589, 2021, 543, 2367, 8428, 538, 741, 2489, 7907, 949, 581, 602, 519, 1079, 28486, 4043, 547, 581, 4767, 538, 1114, 1514, 5107, 269, 1677, 2263, 519, 2959, 540, 11475, 827, 2367, 543, 2021, 1896, 6901, 941, 5342, 269, 4107, 540, 519, 2090, 3238, 14477, 5697, 2852, 1053, 945, 941, 4843, 609, 513, 6609, 540, 513, 5256, 610, 4775, 17003, 1268, 543, 4280, 547, 2557, 602, 1268, 269, 3962, 4603, 9867, 519, 2460, 540, 1514, 1909, 602, 1522, 2272, 585, 4008, 11475, 267, 1519, 2816, 4567, 610, 25084, 607, 9441, 610, 4630, 655, 6033, 267, 12242, 1909, 267, 5191, 540, 1909, 3903, 267, 543, 851, 6066, 7694, 269, 769, 2489, 519, 2090, 3177, 2178, 1489, 585, 519, 1514, 7293, 2079, 540, 4008, 11475, 269, 27801, 338, 602, 2021, 616, 2523, 18497, 543, 2367, 616, 2523, 8665, 545, 2992, 7422, 602, 2021, 543, 2367, 616, 8335, 7856, 883, 4630, 655, 6033, 543, 9441, 5107, 267, 799, 616, 2219, 547, 2154, 1114, 2123, 7907, 269, 3131, 576, 1392, 4646, 741, 1523, 540, 2021, 593, 519, 4493, 540, 11287, 513, 9425, 1164, 8167, 540, 2043, 8149, 547, 519, 6469, 1909, 267, 1247, 2367, 941, 4767, 5097, 8149, 547, 519, 9441, 1909, 269, 634, 1249, 602, 5396, 24565, 7209, 10305, 5267, 602, 4630, 655, 5474, 543, 5520, 8428, 711, 1175, 538, 1909, 2623, 855, 849, 538, 741, 5817, 8741, 1431, 269, 27557, 547, 4894, 4008, 11475, 2069, 958, 949, 723, 5266, 2370, 1764, 3379, 609, 4890, 2242, 538, 519, 3892, 540, 519, 28486, 883, 1514, 5107, 269, 630, 297, 3722, 994, 26397, 7392, 281, 32722, 14430, 282, 18614, 910, 3194, 282, 4325, 16696, 270, 9288, 7566, 14430, 454, 19733, 5426, 281, 715, 12458, 454, 288, 3578, 1681, 26323, 281, 715, 12458, 454, 15275, 13294, 281, 12287, 32185, 282, 4317, 32018, 454, 9616, 281, 7433, 4843, 693, 519, 16316, 20051, 540, 519, 11068, 13523, 16723, 5948, 630, 6321, 628, 267, 9628, 267, 14889, 267, 2904, 476, 274, 268, 276, 267, 476, 2735, 275, 1040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10481, 5852, 692, 12218, 2305, 540, 10222, 9201, 281, 5426, 476, 274, 12694, 692, 1103, 6906, 1269, 21020, 259, 649, 723, 4399, 1002, 2715, 21957, 7684, 815, 476, 1911, 4113, 10608, 8672, 1269, 289, 259, 538, 593, 1269, 4696, 259, 971, 602, 1269, 3722, 815, 9474, 259, 543, 1269, 6195, 815, 5084, 10608, 4855, 4399, 1002, 2715, 645, 7374, 476, 4151, 538, 5232, 780, 2690, 930, 1871, 1269, 323, 267, 259, 606, 568, 30801, 6906, 814, 693, 2547, 835, 5086, 540, 18159, 273, 323, 268, 2412, 7751, 5232, 543, 693, 2547, 835, 5086, 540, 18159, 323, 266, 736, 7751, 5232, 780, 2690, 1142, 540, 971, 12730, 267, 1577, 4399, 10401, 259, 20301, 519, 10545, 5086, 538, 5232, 269, 3973, 1018, 568, 519, 2040, 540, 782, 2009, 4399, 10401, 259, 262, 338, 2496, 763, 5011, 540, 513, 6906, 723, 13080, 1269, 1556, 2073, 476, 1428, 2073, 737, 259, 1141, 1269, 330, 259, 568, 606, 8870, 269, 1280, 875, 1082, 1871, 4433, 264, 540, 1269, 330, 259, 568, 519, 6906, 1073, 339, 2224, 2496, 1607, 2243, 568, 513, 851, 540, 808, 7417, 8734, 1182, 780, 288, 6906, 814, 5011, 540, 3259, 4399, 7562, 263, 1535, 1070, 1422, 6523, 630, 343, 7751, 543, 4399, 6912, 346, 272, 10954, 7562, 630, 343, 3738, 315, 6523, 263, 1535, 264, 20954, 609, 1269, 343, 259, 606, 8650, 5086, 780, 8340, 519, 4102, 5086, 540, 519, 6906, 538, 5232, 780, 288, 1899, 1269, 5723, 259, 540, 3259, 1269, 331, 259, 2306, 909, 835, 2427, 540, 513, 6906, 269, 634, 30580, 540, 782, 2798, 1269, 303, 259, 971, 602, 4399, 28256, 4120, 9474, 303, 259, 568, 513, 1318, 6906, 609, 4399, 4120, 623, 815, 476, 3445, 17353, 15132, 4151, 11700, 4680, 606, 1858, 540, 4399, 3667, 3189, 318, 18386, 18386, 18386, 18386, 18386, 18386, 18386, 18386, 18386, 31859, 763, 1079, 3677, 7285, 540, 606, 568, 30801, 6906, 723, 513, 5916, 2268, 540, 1269, 13670, 23373, 15132, 10608, 1403, 713, 6906, 814, 513, 13902, 4463, 540, 1269, 273, 20728, 346, 544, 20954, 1265, 519, 3259, 540, 922, 3490, 538, 7397, 780, 2252, 519, 8545, 666, 581, 6829, 538, 519, 1106, 1269, 320, 25490, 2715, 536, 7684, 910, 322, 8961, 1141, 1269, 320, 14720, 259, 543, 1269, 322, 259, 616, 2318, 9981, 609, 1269, 321, 259, 4009, 6954, 267, 2328, 707, 2626, 607, 1269, 320, 24585, 536, 24585, 524, 16859, 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 ]
[ 0, 258, 13804, 3363, 543, 667, 3925, 540, 11272, 12197, 692, 1012, 14581, 15048, 692, 10521, 1448, 10997, 616, 5116, 593, 519, 586, 14289, 269, 2290, 568, 1341, 274, 269, 271, 19569, 511, 290, 543, 4092, 693, 2990, 630, 271, 267, 476, 273, 544, 1070, 519, 824, 568, 910, 273, 269, 271, 19569, 511, 290, 543, 4092, 693, 519, 5169, 269, 2422, 519, 6516, 547, 1265, 519, 9588, 543, 4287, 540, 519, 3167, 2361, 543, 519, 3196, 593, 513, 1341, 272, 269, 271, 1535, 476, 1015, 268, 280, 595, 1449, 5279, 5116, 538, 519, 1739, 6753, 563, 320, 269, 630, 271, 267, 476, 272, 269, 271, 544, 994, 321, 269, 630, 271, 267, 910, 273, 269, 271, 544, 994, 322, 269, 630, 272, 269, 271, 332, 267, 476, 271, 2020, 292, 284, 737, 336, 14370, 337, 317, 273, 2020, 1012, 634, 28055, 693, 513, 8827, 692, 3383, 585, 851, 513, 912, 293, 284, 630, 298, 263, 274, 343, 1015, 28260, 277, 19422, 272, 317, 273, 264, 1341, 918, 263, 273, 343, 1015, 268, 277, 19422, 272, 317, 273, 4917, 292, 284, 674, 14370, 11687, 5279, 2020, 306, 877, 585, 851, 536, 267, 855, 519, 8953, 568, 1114, 563, 7069, 2243, 568, 875, 798, 594, 1205, 851, 595, 888, 296, 7229, 519, 3196, 1063, 519, 910, 273, 1075, 5279, 543, 1448, 595, 267, 855, 875, 798, 594, 1205, 519, 3196, 1063, 519, 1341, 274, 1075, 5279, 543, 1448, 595, 2496, 2710, 594, 991, 547, 1265, 519, 5086, 2496, 1012, 634, 28055, 693, 513, 8827, 692, 2971, 5900, 778, 906, 692, 1892, 6516, 27970, 454, 274, 269, 275, 22995, 5788, 14358, 281, 476, 4343, 277, 692, 337, 331, 12500, 1002, 454, 29094, 4477, 704, 454, 8340, 519, 3845, 1063, 2798, 630, 476, 271, 267, 476, 273, 264, 543, 630, 272, 267, 271, 1916, 8340, 2361, 693, 630, 272, 267, 271, 264, 1813, 547, 1341, 476, 274, 19031, 290, 543, 910, 476, 273, 19031, 290, 563, 4910, 9876, 519, 2361, 1813, 547, 1341, 274, 19031, 290, 883, 1535, 543, 586, 3334, 563, 8340, 519, 2121, 1535, 5057, 543, 1265, 519, 25739, 609, 586, 5057, 780, 8340, 519, 3845, 1063, 2798, 630, 476, 271, 267, 476, 273, 264, 543, 630, 272, 267, 271, 1916, 8340, 2361, 693, 630, 272, 267, 271, 264, 1813, 547, 1341, 476, 274, 19031, 290, 543, 910, 476, 273, 19031, 290, 563, 4910, 9876, 519, 2361, 1813, 547, 1341, 274, 19031, 290, 883, 1535, 543, 586, 3334, 563, 8340, 519, 2121, 1535, 5057, 543, 1265, 519, 25739, 609, 586, 5057, 780, 14188, 596, 585, 519, 16253, 267, 1775, 3513, 2119, 713, 856, 14182, 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 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 16482, 258, 18786, 609, 519, 1297, 476, 272, 543, 3001, 547, 519, 1318, 538, 513, 29628, 4287, 513, 454, 258, 476, 276, 676, 476, 276, 18700, 568, 4646, 607, 5205, 912, 16482, 258, 476, 2641, 476, 2420, 476, 2537, 476, 2190, 476, 1839, 454, 258, 476, 736, 476, 476, 278, 476, 476, 279, 476, 476, 280, 476, 1015, 454, 258, 476, 866, 476, 476, 277, 476, 476, 272, 476, 476, 273, 476, 1556, 454, 258, 476, 1240, 476, 476, 276, 476, 476, 275, 476, 476, 274, 476, 1321, 454, 258, 476, 1704, 476, 1626, 476, 1428, 476, 1691, 476, 1724, 454, 16482, 258, 898, 666, 581, 20240, 602, 519, 2040, 540, 519, 2338, 593, 519, 32377, 568, 476, 6200, 563, 16482, 258, 1548, 568, 519, 2040, 540, 519, 2338, 593, 519, 32377, 538, 513, 476, 1911, 272, 676, 476, 1911, 272, 18700, 454, 258, 4646, 538, 519, 1482, 1259, 888, 16482, 16482, 258, 476, 6246, 476, 4510, 476, 3393, 476, 5379, 476, 5325, 476, 4366, 476, 5392, 454, 258, 476, 5655, 476, 2641, 476, 2420, 476, 2537, 476, 2190, 476, 1839, 476, 2918, 454, 258, 476, 6078, 476, 736, 476, 476, 278, 476, 476, 279, 476, 476, 280, 476, 1015, 476, 2767, 454, 258, 476, 2412, 476, 866, 476, 476, 277, 476, 476, 272, 476, 476, 273, 476, 1556, 476, 2764, 454, 258, 476, 4375, 476, 1240, 476, 476, 276, 476, 476, 275, 476, 476, 274, 476, 1321, 476, 3066, 454, 258, 476, 4343, 476, 1704, 476, 1626, 476, 1428, 476, 1691, 476, 1724, 476, 1789, 454, 258, 476, 4391, 476, 3607, 476, 3374, 476, 4097, 476, 3451, 476, 3953, 476, 4029, 454, 16482, 258, 17325, 725, 912, 16482, 258, 1142, 3492, 878, 5858, 1775, 630, 11034, 532, 693, 476, 272, 1070, 814, 476, 279, 2608, 1775, 2609, 912, 258, 567, 476, 279, 815, 476, 279, 2608, 476, 272, 267, 476, 1626, 815, 476, 279, 2608, 476, 273, 267, 476, 2190, 815, 476, 279, 2608, 476, 274, 454, 16482, 258, 1142, 2451, 909, 1341, 2451, 2539, 2652, 1318, 909, 1341, 1318, 2539, 912, 258, 567, 476, 278, 1341, 476, 1428, 815, 476, 1321, 267, 476, 280, 1341, 476, 274, 815, 476, 1321, 454, 258, 567, 476, 2641, 1341, 476, 1704, 815, 476, 4343, 267, 476, 1839, 1341, 476, 1724, 815, 476, 2764, 454, 258, 567, 476, 6246, 1341, 476, 4391, 815, 476, 3199, 267, 476, 5392, 1341, 476, 4029, 815, 476, 3199, 454, 16482, 258, 1142, 2539, 1318, 7944, 568, 7173, 3492, 878, 5858, 1341, 630, 273, 2608, 1775, 994, 258, 7531, 5228, 552, 17526, 6230, 4593, 1104, 15497, 23544, 7531, 3698, 2196, 10031, 825, 1820, 15497, 23544, 263, 1911, 272, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 31632, 568, 513, 1770, 540, 3059, 1344, 602, 568, 4922, 1031, 538, 7384, 547, 2099, 1585, 2010, 540, 1239, 267, 971, 607, 3197, 267, 2338, 267, 543, 811, 269, 898, 779, 7768, 540, 513, 5311, 540, 11353, 563, 268, 645, 1080, 267, 2110, 585, 968, 321, 2435, 9704, 2223, 616, 519, 4909, 4559, 540, 3059, 1239, 269, 3962, 3787, 666, 723, 835, 540, 1079, 2418, 267, 3335, 6719, 607, 476, 271, 610, 476, 272, 269, 898, 779, 899, 519, 10545, 2679, 3625, 540, 3059, 1344, 563, 268, 769, 4334, 267, 513, 31632, 5161, 540, 476, 279, 11353, 19882, 1927, 269, 901, 1797, 972, 616, 476, 279, 9352, 9704, 630, 271, 338, 543, 476, 272, 338, 264, 538, 513, 31632, 563, 3383, 950, 649, 2161, 968, 272, 31632, 568, 6697, 547, 476, 279, 11353, 2223, 649, 2461, 17548, 602, 513, 2582, 31632, 3568, 476, 279, 1367, 11353, 269, 901, 2078, 568, 4909, 538, 2780, 1949, 267, 607, 621, 2636, 721, 547, 2099, 543, 1184, 1585, 2010, 540, 1239, 538, 513, 11295, 543, 13387, 6073, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 11386, 267, 519, 10509, 9649, 267, 814, 1500, 24657, 585, 519, 4636, 4128, 607, 922, 9241, 9250, 6006, 9467, 5690, 4503, 1269, 1911, 5479, 538, 513, 2582, 5470, 269, 634, 10071, 814, 6659, 2055, 827, 519, 10727, 540, 12747, 9467, 1949, 543, 519, 1909, 540, 5841, 4987, 630, 9590, 264, 538, 519, 2883, 2344, 563, 763, 5690, 267, 1572, 968, 11386, 645, 731, 2223, 729, 2966, 547, 946, 3642, 547, 5659, 2344, 1239, 543, 1118, 5092, 3664, 593, 15773, 540, 7218, 269, 634, 1062, 729, 9250, 609, 1454, 10178, 11071, 267, 607, 5616, 10645, 602, 621, 1131, 22499, 519, 1259, 1004, 1902, 538, 519, 6006, 2344, 563, 4913, 267, 519, 1062, 779, 2773, 729, 2322, 547, 519, 1449, 950, 621, 1500, 513, 14427, 5470, 267, 4611, 538, 519, 2530, 540, 513, 7372, 1269, 1911, 5479, 538, 513, 2582, 1554, 269, 634, 2014, 540, 519, 5470, 814, 711, 2943, 1044, 5462, 267, 855, 5359, 2303, 602, 519, 1062, 949, 723, 31495, 2181, 1540, 2344, 1239, 610, 1500, 513, 12161, 538, 922, 5092, 3664, 563, 763, 10071, 814, 17275, 513, 7521, 827, 519, 10727, 540, 3642, 1949, 538, 519, 2883, 2344, 269, 2368, 4966, 723, 11130, 602, 3642, 1949, 616, 1932, 1950, 543, 20437, 547, 581, 11967, 609, 1818, 5092, 3664, 267, 1247, 1866, 3494, 602, 519, 2640, 540, 3642, 538, 519, 2883, 2344, 29387, 519, 4220, 563, 32381, 540, 519, 2014, 540, 519, 5470, 267, 519, 10071, 814, 6659, 3978, 4145, 827, 519, 3106, 543, 6617, 540, 519, 2883, 2344, 269, 14825, 730, 9467, 1949, 899, 5616, 645, 731, 616, 4742, 5051, 2442, 267, 543, 519, 2883, 2344, 12346, 8185, 593, 873, 547, 1118, 5092, 3664, 269, 634, 10071, 8711, 519, 2956, 540, 4180, 602, 891, 1949, 616, 6325, 543, 5150, 267, 547, 2061, 2104, 2883, 9271, 563, 763, 10071, 814, 849, 12936, 5616, 779, 10639, 267, 607, 519, 2754, 814, 1279, 1044, 1634, 585, 922, 6791, 538, 3642, 543, 2029, 269, 634, 2530, 540, 1269, 1911, 5479, 538, 513, 2582, 1554, 814, 1572, 883, 2243, 519, 2754, 779, 2702, 547, 1020, 543, 10131, 3811, 3642, 1949, 538, 519, 2883, 2344, 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 ]
[ 0, 7617, 4729, 798, 594, 991, 888, 1626, 5784, 630, 18431, 476, 1789, 2395, 994, 296, 6415, 3843, 547, 4729, 538, 476, 273, 291, 930, 2798, 543, 594, 1616, 547, 2681, 873, 4470, 593, 513, 7954, 630, 272, 610, 476, 271, 264, 8760, 563, 296, 3513, 2491, 8885, 1732, 269, 594, 723, 513, 5119, 609, 1114, 27976, 18396, 24002, 543, 513, 7954, 2418, 8655, 547, 1142, 11282, 602, 6645, 803, 952, 519, 1448, 568, 5078, 607, 606, 3355, 2798, 585, 519, 17293, 540, 513, 9682, 269, 594, 4312, 6836, 1210, 14649, 855, 594, 1175, 1205, 11954, 2798, 543, 594, 6415, 3168, 585, 513, 834, 335, 20557, 4786, 257, 865, 594, 666, 3362, 1294, 2516, 540, 1434, 2798, 543, 2516, 540, 3983, 2798, 563, 3633, 3951, 281, 594, 1616, 547, 1294, 513, 11954, 267, 27795, 2627, 10834, 834, 16591, 257, 10851, 543, 834, 21112, 257, 10851, 4470, 540, 952, 972, 616, 1082, 5078, 2798, 610, 711, 269, 23985, 899, 713, 3239, 563, 14188, 596, 16921, 563, 30252, 5899, 3187, 593, 476, 1556, 4119, 476, 1001, 276, 454, 2252, 596, 2907, 917, 519, 2048, 16591, 685, 543, 2048, 21112, 685, 2798, 267, 543, 789, 616, 3989, 676, 9266, 4994, 532, 267, 946, 519, 9266, 4994, 2418, 547, 5094, 873, 883, 519, 3617, 10321, 267, 946, 519, 3180, 1599, 267, 543, 4729, 873, 912, 343, 815, 476, 272, 281, 1911, 3248, 344, 815, 28219, 328, 263, 4200, 267, 476, 272, 267, 476, 1911, 11850, 572, 937, 815, 586, 3436, 476, 4037, 282, 4939, 9266, 19139, 21070, 454, 16591, 318, 14186, 815, 586, 263, 572, 937, 11850, 21112, 318, 14186, 815, 586, 263, 349, 572, 937, 11850, 2675, 2660, 3287, 263, 572, 937, 1070, 1434, 318, 14186, 267, 1412, 321, 335, 5073, 2675, 2660, 3287, 263, 349, 572, 937, 1070, 3983, 318, 14186, 267, 1412, 337, 335, 5073, 5586, 754, 3488, 14187, 18745, 3299, 1412, 289, 611, 18745, 5073, 5415, 12226, 630, 273, 994, 15862, 8890, 560, 593, 476, 1556, 4119, 476, 1001, 276, 454, 2675, 2660, 3890, 1058, 1869, 960, 269, 1548, 1705, 596, 798, 286, 1411, 666, 1780, 538, 513, 1592, 540, 4778, 585, 1169, 1448, 596, 917, 269, 1411, 666, 849, 3313, 519, 7306, 602, 1259, 269, 9894, 596, 1780, 4778, 543, 7306, 538, 547, 14649, 19572, 610, 596, 1175, 5293, 538, 1535, 543, 586, 286, 1411, 9364, 991, 547, 723, 606, 5044, 609, 607, 1082, 9343, 607, 596, 723, 1239, 2798, 267, 543, 1614, 9587, 267, 609, 519, 2418, 538, 519, 9587, 1373, 538, 519, 2039, 476, 271, 268, 272, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 19638, 5035, 8585, 613, 31374, 1384, 825, 1219, 4990, 4311, 267, 6783, 17107, 1038, 952, 7003, 263, 6783, 264, 10922, 476, 272, 912, 2018, 2132, 5044, 454, 1038, 3116, 912, 2018, 2451, 815, 1582, 31699, 263, 6783, 11468, 263, 6352, 263, 6783, 264, 1315, 476, 273, 264, 7481, 2018, 1318, 815, 1582, 31699, 263, 6783, 27007, 6352, 263, 6783, 264, 1315, 476, 273, 2567, 7481, 2018, 5044, 815, 1582, 11519, 1067, 613, 263, 3847, 267, 2431, 994, 1038, 2132, 5044, 692, 825, 1219, 9041, 1067, 613, 4311, 267, 3847, 267, 2431, 2187, 1038, 5044, 815, 314, 2639, 1038, 1775, 284, 271, 454, 1038, 795, 284, 271, 454, 1038, 1247, 1775, 2999, 7003, 263, 2431, 264, 543, 795, 2999, 7003, 263, 3847, 264, 10778, 2018, 952, 2451, 14728, 316, 2999, 1318, 5157, 14158, 3546, 5044, 6910, 263, 3847, 14728, 7481, 3546, 795, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 5044, 6910, 263, 2431, 5157, 7481, 3546, 1775, 6834, 476, 272, 454, 1038, 952, 1775, 2999, 7003, 263, 2431, 2187, 2018, 5044, 269, 2169, 754, 263, 2431, 5157, 281, 7481, 1038, 8640, 795, 2999, 7003, 263, 3847, 2187, 2018, 5044, 269, 2169, 754, 263, 3847, 14728, 281, 7481, 1038, 2132, 5044, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1412, 300, 10235, 31374, 262, 19638 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1382, 269, 1411, 1377, 909, 563, 12901, 643, 6400, 568, 606, 1884, 1172, 730, 2165, 1031, 547, 4766, 3354, 3301, 602, 30397, 267, 14014, 1996, 267, 543, 18788, 18453, 563, 2690, 606, 538, 3829, 1413, 693, 28456, 267, 1294, 713, 2985, 563, 23763, 547, 3251, 5483, 593, 519, 5767, 3377, 538, 14590, 286, 6178, 909, 585, 938, 20394, 543, 1451, 875, 547, 2149, 707, 2780, 689, 6937, 563, 15675, 707, 1893, 454, 7312, 25644, 547, 3388, 11341, 547, 6880, 628, 805, 338, 267, 543, 875, 547, 3247, 873, 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 ]
[ 0, 9223, 692, 258, 476, 7367, 269, 12433, 519, 13065, 543, 3044, 11539, 585, 519, 1739, 3892, 281, 4147, 293, 15968, 4391, 272, 21497, 279, 3953, 3752, 281, 3371, 1547, 1284, 1491, 519, 10924, 1611, 1547, 3371, 2073, 1287, 1547, 1284, 1106, 519, 1739, 3349, 609, 519, 2016, 1239, 269, 3371, 267, 7352, 766, 1269, 284, 1911, 13375, 24560, 2765, 18950, 10755, 7565, 2004, 9984, 18597, 2410, 7742, 271, 4153, 2431, 316, 7807, 2765, 346, 1911, 263, 2004, 273, 276, 20972, 7742, 271, 13157, 1001, 259, 9208, 11539, 692, 1012, 11473, 3435, 630, 272, 2020, 9596, 689, 741, 476, 272, 3562, 268, 272, 4901, 609, 8606, 334, 21493, 780, 1724, 25008, 692, 10170, 454, 18704, 454, 27751, 454, 28062, 476, 273, 21493, 7234, 713, 2243, 454, 28097, 713, 2243, 700, 25893, 454, 277, 25008, 3516, 454, 3080, 10278, 547, 3382, 782, 707, 6780, 543, 7084, 2115, 454, 9596, 6657, 31280, 590, 1075, 3865, 454, 9743, 656, 476, 272, 281, 272, 948, 267, 476, 2190, 343, 278, 454, 2568, 267, 476, 1822, 266, 16869, 21493, 454, 17806, 1504, 3435, 454, 19136, 2856, 13004, 267, 17755, 3863, 6953, 650, 4065, 3092, 454, 13625, 2689, 454, 7476, 4274, 5955, 593, 707, 1557, 454, 306, 3832, 7191, 5049, 454, 11947, 18262, 23468, 689, 667, 539, 5344, 476, 274, 4966, 454, 307, 27434, 676, 476, 275, 2929, 266, 1053, 692, 1805, 3089, 593, 519, 2243, 610, 7778, 2496, 21010, 609, 938, 9119, 21493, 2228, 543, 1205, 1900, 676, 1900, 3070, 540, 713, 2243, 780, 23211, 1053, 616, 2921, 700, 25893, 5049, 454, 7726, 7956, 476, 7367, 269, 12433, 519, 13065, 543, 3044, 11539, 585, 519, 1739, 3892, 281, 3752, 281, 3371, 1547, 1284, 1491, 519, 10924, 1611, 1547, 3371, 2073, 1287, 1547, 1284, 1106, 519, 1739, 3349, 609, 519, 2016, 1239, 269, 3371, 267, 7352, 766, 1269, 284, 1911, 13375, 24560, 2765, 18950, 10755, 7565, 2004, 9984, 18597, 2410, 7742, 271, 4153, 2431, 316, 7807, 2765, 346, 1911, 263, 2004, 273, 276, 20972, 7742, 271, 13157, 1001, 259, 9208, 11539, 21213, 2201, 4924, 476, 2420, 267, 476, 1708, 274, 13445, 4223, 4631, 543, 10318, 5364, 13595, 9119, 4147, 4147, 476, 1321, 8382, 7392, 11473, 3070, 281, 476, 272, 5455, 341, 4925, 476, 10170, 2997, 326, 269, 11473, 30991, 476, 1724, 1295 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 320, 815, 3403, 2891, 14707, 924, 631, 522, 340, 674, 281, 19515, 604, 513, 2525, 257, 293, 257, 610, 513, 2525, 257, 325, 13426, 825, 1820, 2891, 293, 655, 514, 3626, 5602, 19197, 513, 2525, 257, 300, 257, 610, 513, 2525, 257, 332, 13426, 825, 1820, 2891, 300, 553, 1529, 3626, 5602, 12828, 912, 825, 1820, 2891, 29189, 334, 769, 1998, 18480, 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 ]
[ 0, 258, 700, 8632, 2627, 692, 2690, 513, 13306, 267, 519, 14694, 2627, 1858, 1131, 581, 519, 1858, 540, 2185, 5011, 269, 6333, 519, 6316, 540, 519, 13306, 607, 1269, 320, 10608, 9351, 540, 835, 4009, 3068, 1269, 288, 3709, 2183, 348, 815, 513, 1422, 10383, 513, 815, 513, 317, 273, 10608, 4935, 519, 14694, 2627, 540, 513, 13306, 786, 581, 519, 1858, 540, 2185, 8188, 281, 1269, 320, 1422, 10383, 513, 1422, 10383, 476, 275, 815, 476, 275, 320, 317, 273, 10608, 634, 14694, 2627, 666, 849, 581, 7229, 676, 14921, 519, 15943, 540, 519, 3490, 547, 519, 4463, 540, 519, 24388, 269, 1496, 272, 2639, 2690, 513, 595, 2643, 5407, 267, 14694, 1858, 568, 519, 1858, 540, 519, 2427, 2627, 540, 519, 12718, 815, 1269, 273, 1422, 7032, 678, 554, 10608 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 12007, 1353, 540, 5256, 543, 4775, 11994, 538, 3604, 538, 519, 2324, 543, 6469, 12106, 281, 513, 2474, 540, 4008, 3604, 4929, 8635, 538, 519, 2324, 543, 6469, 1272, 535, 8896, 267, 835, 540, 519, 5631, 1644, 547, 519, 4008, 2628, 7934, 267, 2816, 17478, 267, 543, 519, 4837, 18109, 971, 3584, 723, 267, 585, 269, 3367, 3184, 476, 274, 7713, 3023, 17478, 538, 519, 9036, 281, 1256, 1498, 2021, 723, 1500, 8101, 3356, 538, 513, 1297, 540, 19497, 5256, 23909, 267, 694, 269, 8241, 2367, 543, 2021, 1291, 1360, 1114, 2324, 2729, 2367, 543, 2021, 1419, 798, 711, 960, 1412, 2515, 676, 2427, 262, 1765, 8117, 3079, 960, 538, 6080, 610, 23909, 799, 616, 13856, 676, 835, 4008, 610, 1776, 676, 3486, 4441, 267, 649, 723, 513, 3810, 4008, 5302, 27935, 13781, 538, 476, 1001, 276, 268, 1626, 267, 3670, 538, 476, 1015, 563, 1103, 2259, 267, 10703, 1516, 4008, 17478, 538, 3448, 2474, 666, 581, 16609, 267, 607, 519, 1292, 2601, 1946, 2021, 4043, 547, 2272, 585, 1447, 982, 476, 2004, 4939, 540, 519, 6964, 13781, 568, 519, 4008, 6498, 540, 6469, 11668, 543, 2021, 781, 19018, 622, 2671, 540, 10002, 4660, 1416, 543, 6469, 960, 3976, 267, 513, 10257, 4358, 563, 763, 4128, 1946, 8706, 1235, 630, 1993, 1312, 28486, 264, 1058, 581, 7255, 609, 960, 17478, 676, 3023, 616, 267, 19599, 267, 10355, 1500, 8763, 649, 786, 2303, 930, 1934, 1101, 267, 621, 568, 9244, 5532, 547, 8635, 585, 1383, 267, 6009, 543, 23909, 5645, 856, 676, 2021, 2864, 982, 2367, 4043, 547, 581, 6976, 1447, 713, 568, 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, 301, 1731, 7637, 657, 589, 2280, 6652, 267, 17435, 527, 686, 657, 17578, 541, 777, 1846, 534, 529, 267, 12253, 2776, 334, 385, 352, 328, 1075, 6261, 2884, 549, 543, 23849, 850, 3930, 19681, 1842, 723, 5340, 1175, 971, 606, 2079, 267, 4330, 538, 741, 1957, 267, 21023, 532, 7225, 2772, 5463, 2888, 540, 519, 3864, 7040, 540, 5274, 7126, 281, 513, 7849, 5678, 14409, 21887, 269, 13018, 267, 1759, 593, 606, 2079, 540, 519, 21849, 6609, 540, 519, 2013, 267, 789, 4383, 547, 3589, 609, 606, 6111, 540, 827, 476, 3199, 9077, 519, 9352, 6364, 540, 519, 2013, 282, 1775, 4318, 269, 2436, 610, 711, 513, 18670, 540, 1480, 2924, 814, 1044, 24565, 547, 723, 1624, 3293, 563, 303, 14194, 545, 2338, 616, 513, 1259, 540, 834, 325, 3739, 538, 519, 10616, 257, 538, 519, 7787, 2338, 547, 2347, 519, 1297, 1899, 269, 1717, 267, 513, 1007, 11973, 568, 5189, 865, 602, 519, 3845, 1063, 1079, 2798, 568, 711, 519, 16022, 3845, 607, 6027, 676, 513, 14610, 269, 1452, 533, 14194, 545, 14573, 1450, 6898, 971, 607, 834, 1492, 12808, 2040, 540, 519, 7060, 540, 476, 273, 11224, 910, 272, 257, 547, 1118, 2631, 563, 763, 14465, 778, 570, 1513, 7288, 21537, 2135, 2982, 602, 621, 568, 2009, 547, 2759, 513, 476, 274, 291, 1843, 971, 607, 513, 12106, 883, 476, 277, 4773, 543, 556, 268, 1551, 1052, 873, 883, 476, 273, 21384, 9838, 547, 519, 3312, 538, 1312, 2450, 543, 5860, 269, 898, 666, 581, 2944, 609, 607, 1906, 607, 476, 276, 4773, 543, 4352, 1152, 16627, 543, 32186, 616, 2838, 585, 556, 268, 7955, 532, 519, 4773, 267, 519, 4773, 616, 10053, 14649, 902, 540, 4608, 870, 2406, 28222, 1082, 2798, 269, 1403, 713, 7959, 4831, 842, 30698, 547, 596, 267, 29311, 602, 621, 12346, 593, 519, 589, 3495, 558, 540, 14893, 1373, 3020, 543, 713, 568, 1141, 596, 1058, 8495, 707, 8937, 4606, 563, 8893, 476, 272, 851, 476, 272, 281, 661, 583, 1506, 874, 549, 543, 519, 14068, 667, 611, 1496, 5400, 281, 866, 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 ]
[ 0, 298, 758, 19660, 5013, 585, 3214, 454, 347, 24314, 2140, 1475, 298, 758, 19660, 281, 23281, 328, 1100, 1772, 14833, 2008, 298, 758, 19660, 630, 7430, 497, 11210, 507, 11210, 491, 13892, 281, 795, 320, 568, 1244, 13440, 730, 2073, 610, 538, 2022, 21351, 9647, 2762, 476, 7430, 497, 7430, 497, 11210, 491, 264, 568, 513, 3209, 676, 519, 5545, 2278, 715, 1846, 2541, 590, 16230, 572, 7288, 269, 898, 729, 1101, 3370, 538, 476, 4489, 275, 538, 17626, 1106, 538, 519, 5545, 11356, 1306, 1695, 328, 1744, 12494, 684, 269, 634, 2140, 267, 12261, 12777, 1797, 834, 24711, 2668, 634, 2262, 3568, 18707, 540, 2495, 267, 543, 666, 581, 12261, 607, 834, 1492, 2295, 540, 1919, 257, 610, 834, 10623, 9934, 2668, 4438, 519, 3209, 781, 3355, 17626, 2196, 267, 689, 4989, 476, 736, 547, 4864, 476, 1556, 267, 476, 4489, 275, 267, 621, 729, 9102, 896, 519, 2140, 918, 758, 19660, 281, 23281, 328, 1100, 1772, 14833, 630, 417, 379, 481, 476, 10429, 486, 13200, 509, 28374, 421, 479, 374, 418, 505, 372, 13892, 281, 795, 320, 568, 1244, 13440, 730, 2073, 918, 758, 19660, 281, 23281, 328, 781, 11620, 1040, 1879, 2663, 3370, 538, 3209, 1106, 676, 594, 9774, 9564, 1744, 582, 523, 267, 922, 2140, 729, 27571, 547, 918, 758, 19660, 282, 519, 17021, 540, 519, 2262, 834, 330, 758, 19660, 257, 3294, 729, 849, 4957, 689, 737, 534, 10202, 630, 417, 379, 481, 264, 547, 554, 4275, 1146, 320, 630, 7430, 497, 7430, 497, 11210, 491, 1916, 298, 758, 19660, 12700, 585, 8866, 269, 918, 1497, 15610, 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, 1103, 2221, 779, 3728, 533, 3166, 1158, 3388, 568, 4657, 269, 634, 5769, 568, 711, 1018, 621, 729, 4557, 1296, 3516, 543, 609, 519, 5920, 540, 5680, 476, 273, 269, 271, 1007, 9885, 723, 1044, 8118, 3850, 1114, 2609, 540, 2170, 2032, 883, 1357, 1374, 563, 25542, 3755, 1616, 547, 2170, 609, 519, 3896, 789, 616, 9683, 282, 789, 1616, 547, 581, 3742, 543, 547, 1205, 3238, 563, 20007, 3098, 543, 2553, 723, 1044, 2919, 547, 2743, 519, 2479, 3395, 543, 4657, 991, 585, 2170, 2032, 563, 14503, 1662, 814, 1831, 1776, 2012, 585, 2170, 2032, 538, 3896, 1374, 269, 634, 6671, 1875, 3613, 1738, 2609, 723, 1044, 8719, 609, 8755, 602, 25998, 609, 519, 3593, 269, 15750, 2572, 786, 946, 8755, 2609, 585, 741, 12445, 267, 20927, 543, 5924, 7333, 1676, 18537, 269, 11473, 18297, 543, 2575, 5716, 616, 4742, 811, 543, 811, 2442, 543, 2653, 547, 946, 269, 10803, 1397, 602, 936, 476, 4817, 260, 540, 5904, 1631, 723, 5839, 668, 4215, 18044, 26761, 8704, 593, 741, 2780, 563, 11328, 13808, 538, 1357, 1374, 666, 581, 9286, 538, 1079, 6688, 912, 306, 17532, 3593, 5872, 454, 25648, 3593, 5872, 454, 306, 17532, 3593, 5872, 568, 827, 2502, 3755, 538, 7836, 942, 593, 707, 3896, 676, 18071, 519, 1543, 538, 606, 10694, 1259, 269, 6201, 540, 2582, 3593, 5872, 649, 1265, 538, 5347, 13289, 1063, 15942, 13324, 676, 1312, 8755, 543, 795, 5226, 2044, 585, 513, 521, 5585, 1374, 267, 16022, 543, 11617, 10694, 3593, 8818, 267, 8202, 539, 1543, 971, 607, 8666, 26847, 543, 1587, 2823, 31987, 3092, 269, 630, 329, 335, 274, 9188, 793, 2593, 4496, 629, 9188, 793, 2593, 4898, 13665, 269, 916, 333, 2593, 994, 4002, 519, 824, 1688, 3818, 3593, 5872, 568, 827, 3850, 707, 3135, 8436, 547, 2170, 609, 1142, 824, 269, 2368, 1806, 540, 3818, 3593, 5872, 602, 616, 1336, 2221, 616, 538, 519, 1106, 540, 1514, 13033, 4609, 267, 15473, 267, 21075, 267, 1135, 3149, 3092, 269, 630, 1889, 324, 2692, 2593, 9043, 4318, 320, 2593, 28957, 3820, 2262, 12304, 3820, 994, 11328, 13808, 24643, 3755, 3007, 267, 6770, 10761, 267, 2306, 873, 2189, 267, 8952, 3755, 5461, 543, 5849, 602, 789, 723, 513, 12300, 1995, 9683, 519, 3896, 563, 11328, 13808, 538, 1357, 1374, 786, 3136, 547, 11457, 269, 5272, 1554, 1007, 2093, 543, 10578, 2081, 540, 13830, 519, 5304, 3007, 2097, 547, 1272, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 290, 1328, 692, 258, 9046, 476, 1626, 269, 17776, 519, 4102, 1297, 602, 568, 11105, 547, 513, 4642, 692, 11405, 476, 14378, 19442, 278, 692, 8138, 4784, 593, 476, 2420, 3967, 476, 1001, 280, 676, 8865, 344, 918, 4068, 523, 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, 320, 815, 1496, 272, 267, 476, 276, 267, 476, 274, 267, 476, 271, 267, 476, 273, 267, 476, 278, 267, 476, 271, 267, 476, 279, 267, 476, 280, 267, 476, 272, 476, 271, 22049, 536, 815, 476, 279, 282, 7682, 263, 1047, 23974, 3799, 792, 313, 3266, 5416, 1070, 321, 11723, 320, 815, 32582, 561, 815, 476, 1556, 513, 815, 476, 274, 513, 815, 476, 274, 476, 273, 513, 815, 476, 274, 476, 273, 476, 278, 513, 815, 476, 274, 476, 273, 476, 278, 476, 279, 513, 815, 476, 274, 476, 273, 476, 278, 476, 279, 476, 272, 586, 815, 476, 279, 692, 273, 5231, 10426, 454, 320, 815, 1496, 276, 476, 275, 910, 272, 476, 271, 910, 273, 476, 271, 910, 276, 476, 279, 22049, 536, 815, 910, 272, 282, 7682, 263, 1047, 23974, 3799, 792, 313, 3266, 5416, 1070, 321, 4297, 16963, 320, 815, 32582, 561, 815, 476, 279, 513, 815, 910, 272, 513, 815, 910, 272, 910, 273, 513, 815, 910, 272, 910, 273, 910, 273, 513, 815, 910, 272, 910, 273, 910, 273, 910, 276, 586, 815, 910, 272, 692, 274, 5231, 10426, 454, 320, 815, 1496, 271, 476, 274, 476, 272, 476, 271, 476, 273, 476, 280, 22049, 536, 815, 476, 274, 282, 7682, 263, 1047, 23974, 3799, 792, 313, 3266, 5416, 1070, 321, 4297, 16963, 320, 815, 32582, 561, 815, 476, 277, 513, 815, 476, 274, 513, 815, 476, 274, 476, 272, 513, 815, 476, 274, 476, 272, 476, 273, 586, 815, 476, 274, 692, 275, 5231, 10426, 454, 320, 815, 1496, 272, 476, 271, 476, 273, 476, 271, 476, 274, 22049, 536, 815, 476, 274, 282, 7682, 263, 1047, 23974, 3799, 792, 313, 3266, 5416, 1070, 321, 4297, 16963, 320, 815, 32582, 561, 815, 476, 276, 513, 815, 476, 272, 513, 815, 476, 272, 476, 273, 513, 815, 476, 272, 476, 273, 476, 273, 513, 815, 476, 272, 476, 273, 476, 273, 476, 274, 586, 815, 476, 274, 692, 276, 5231, 10426, 454, 320, 815, 1496, 271, 910, 272, 22049, 536, 815, 910, 272, 282, 7682, 263, 1047, 23974, 3799, 792, 313, 3266, 5416, 1070, 321, 4297, 16963, 320, 815, 32582, 561, 815, 476, 273, 513, 815, 910, 272, 586, 815, 910, 272, 692, 277, 5231, 10426, 454, 320, 815, 1496, 271, 910, 1321, 476, 271, 910, 278, 476, 271, 22049, 536, 815, 910, 278, 282, 7682, 263, 1047, 23974, 3799, 792, 313, 3266, 5416, 1070, 321, 4297, 16963, 320, 815, 32582, 561, 815, 476, 276, 513, 815, 910, 1321, 513, 815, 910, 1321, 910, 1321, 513, 815, 910, 1321, 910, 1321, 910, 278, 513, 815, 910, 1321, 910, 1321, 910, 278, 910, 278, 586, 815, 910, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1650, 540, 519, 2112, 519, 3486, 2146, 530, 3042, 1996, 3540, 2112, 3613, 4459, 523, 23683, 2274, 821, 269, 634, 4670, 9388, 609, 13357, 540, 519, 476, 1556, 4458, 3540, 2112, 538, 23683, 2274, 821, 269, 634, 4670, 814, 1031, 2067, 22266, 2621, 543, 32333, 2059, 609, 519, 6386, 543, 824, 3486, 5717, 607, 1134, 607, 22089, 689, 519, 23683, 2274, 821, 267, 2136, 8315, 267, 543, 3864, 2146, 269, 634, 4670, 849, 4330, 519, 1272, 540, 23683, 2274, 821, 543, 922, 1004, 22221, 1296, 2663, 267, 1141, 827, 476, 3583, 267, 1822, 2367, 267, 2021, 543, 1453, 1185, 1044, 7166, 1282, 519, 3540, 2112, 269, 634, 3540, 2112, 538, 23683, 2274, 821, 568, 849, 4330, 607, 835, 540, 476, 736, 628, 2540, 781, 1034, 22266, 7526, 267, 543, 835, 540, 519, 6167, 781, 1034, 3824, 3271, 1190, 19493, 14286, 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 ]
[ 0, 12850, 9754, 540, 15223, 611, 21171, 8466, 13216, 454, 5938, 327, 3757, 630, 7709, 264, 910, 2983, 25140, 4092, 1369, 519, 15223, 8910, 21171, 13216, 538, 519, 7187, 851, 540, 1855, 327, 3757, 267, 519, 4826, 7467, 568, 513, 2686, 4099, 585, 19620, 519, 1200, 527, 1137, 7283, 689, 938, 11937, 563, 296, 3757, 4964, 270, 9459, 3377, 281, 1358, 1031, 891, 1200, 527, 1137, 547, 10536, 267, 10141, 267, 15814, 267, 543, 17908, 1216, 269, 634, 4826, 7467, 540, 15223, 8910, 21171, 13216, 538, 1855, 327, 3757, 5161, 540, 1614, 2694, 540, 519, 3844, 2679, 267, 519, 25610, 2679, 267, 543, 606, 1930, 1858, 563, 2467, 616, 2185, 15225, 538, 519, 3844, 2679, 543, 835, 538, 519, 25610, 269, 769, 519, 2034, 2679, 519, 15805, 1131, 3643, 519, 2203, 540, 519, 21394, 3710, 538, 9459, 1310, 519, 9099, 7169, 543, 1310, 8384, 930, 14501, 827, 519, 1216, 2872, 267, 789, 616, 4843, 609, 1082, 25447, 3615, 543, 741, 12319, 563, 763, 4826, 7467, 540, 15223, 8910, 21171, 13216, 538, 1855, 327, 3757, 568, 513, 1747, 602, 666, 4628, 6542, 3388, 1644, 547, 713, 3407, 13442, 540, 2696, 269, 12020, 547, 2951, 547, 9459, 267, 649, 3810, 4363, 596, 547, 1995, 1325, 320, 539, 514, 13488, 3318, 2533, 269, 476, 21709 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18851, 457, 7531, 2791, 723, 4607, 606, 24290, 5048, 689, 2230, 269, 2659, 4305, 568, 547, 1232, 7973, 519, 454, 332, 20687, 609, 519, 1739, 2241, 3652, 1384, 476, 2608, 24606, 5569, 786, 2874, 540, 3854, 5022, 267, 2338, 267, 543, 23049, 1152, 563, 476, 2608, 1879, 972, 781, 513, 3625, 540, 3009, 3330, 519, 23049, 267, 971, 607, 2387, 314, 1015, 5723, 316, 12452, 621, 1797, 596, 991, 547, 10956, 519, 5022, 2878, 5723, 1262, 585, 2878, 1015, 2053, 1262, 563, 476, 2608, 24606, 666, 581, 11251, 538, 2789, 6106, 540, 7161, 563, 476, 2608, 15937, 1232, 7973, 539, 5048, 786, 1152, 2874, 540, 3854, 5022, 780, 8620, 513, 1599, 602, 3217, 24290, 5048, 2387, 339, 868, 319, 543, 7024, 519, 1232, 7973, 539, 454, 332, 20687, 780, 2162, 6201, 692, 825, 2230, 8548, 20687, 2891, 5723, 7374, 8442, 2340, 508, 508, 834, 5723, 7374, 4840, 8931, 825, 2230, 8548, 20687, 2891, 5723, 314, 274, 7374, 316, 8442, 2340, 508, 508, 834, 5723, 7374, 7374, 7374, 4840, 825, 1948, 834, 5723, 257, 815, 834, 5723, 4840, 825, 1948, 834, 314, 274, 7374, 316, 257, 815, 834, 7374, 7374, 7374, 4840, 8931, 825, 2230, 8548, 20687, 2891, 9281, 314, 273, 292, 316, 299, 294, 314, 276, 302, 316, 291, 8442, 2340, 508, 508, 834, 9281, 292, 5085, 32271, 302, 302, 302, 7495, 5016, 2162, 11872, 692, 301, 12458, 692, 18851, 457, 692, 3698, 2230, 8548, 20687, 6025, 868, 2187, 476, 759, 815, 1496, 5257, 2639, 476, 585, 524, 538, 512, 868, 912, 825, 952, 524, 2652, 1412, 9131, 912, 8587, 759, 6910, 3488, 5073, 825, 8640, 524, 2652, 1412, 316, 12466, 8587, 31575, 267, 328, 815, 759, 21014, 19572, 271, 454, 8587, 1247, 31575, 5157, 4940, 529, 323, 13424, 10031, 1038, 1775, 6834, 476, 272, 454, 8587, 759, 15631, 272, 316, 6834, 31575, 5157, 281, 30297, 842, 6025, 5404, 11468, 328, 7481, 825, 3116, 912, 8587, 759, 15631, 272, 316, 6834, 524, 454, 476, 2132, 759, 314, 271, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14983, 275, 269, 12017, 787, 31315, 692, 11405, 476, 10082, 10384, 271, 692, 8138, 4784, 593, 476, 279, 4455, 476, 1001, 280, 676, 5261, 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, 12528, 5334, 1828, 815, 3758, 1348, 3488, 327, 2426, 787, 5334, 333, 820, 6230, 262, 5148, 7682, 263, 529, 24105, 19304, 22772, 263, 12528, 5334, 1828, 10086, 516, 613, 343, 335, 262, 4297, 5148, 7682, 263, 529, 24105, 19304, 22772, 263, 12528, 5334, 1828, 10086, 11133, 273, 1598, 262, 4297, 5148, 7682, 263, 529, 24105, 19304, 22772, 263, 12528, 5334, 1828, 10086, 5793, 335, 262, 4297, 5148, 7682, 263, 529, 24105, 19304, 22772, 263, 12528, 5334, 1828, 10086, 325, 2745, 325, 262, 4297, 5148, 7682, 263, 529, 24105, 19304, 22772, 263, 12528, 5334, 1828, 10086, 16386, 262, 4297, 32007, 273, 5231, 10426, 454, 325, 2745, 325, 3488, 14818, 532, 1862, 315, 333, 10807, 585, 513, 815, 476, 271, 281, 279, 267, 4939, 5192, 519, 5119, 631, 815, 17237, 5334, 333, 820, 5416, 5148, 4939, 4939, 6744, 602, 782, 519, 2338, 2291, 2899, 538, 476, 273, 317, 320, 1535, 476, 273, 317, 320, 5119, 7682, 263, 1047, 23974, 4433, 1125, 29687, 1070, 314, 273, 317, 320, 267, 273, 317, 320, 25818, 262, 289, 611, 12025, 262, 5148, 7682, 263, 1047, 23974, 263, 272, 281, 11133, 601, 29687, 1070, 338, 677, 29687, 263, 281, 4297, 30670, 262, 8253, 782, 2338, 2291, 256, 262, 5148, 4939, 4939, 4855, 519, 6753, 540, 519, 2338, 1496, 296, 267, 297, 316, 815, 5044, 325, 684, 263, 287, 263, 343, 264, 22772, 29687, 2525, 343, 267, 272, 1070, 272, 281, 11133, 601, 29687, 4297, 282, 4939, 4939, 6744, 602, 519, 2338, 1106, 8197, 513, 13131, 7682, 263, 718, 9230, 11274, 5560, 858, 263, 296, 4297, 2525, 272, 261, 18528, 263, 297, 264, 2525, 271, 264, 1923, 630, 11274, 5560, 858, 263, 297, 4297, 2525, 272, 261, 18528, 263, 296, 264, 2525, 271, 24270, 262, 8253, 513, 31315, 256, 262, 5148, 4939, 4939, 6744, 602, 972, 3884, 1405, 513, 2786, 1899, 3476, 982, 476, 275, 544, 16435, 815, 3193, 263, 3250, 325, 684, 3488, 26319, 3299, 516, 613, 343, 335, 4433, 2745, 325, 3488, 260, 323, 3299, 314, 18528, 263, 296, 264, 10878, 301, 886, 263, 297, 13580, 1070, 262, 271, 266, 12887, 332, 2255, 262, 4297, 5148, 952, 513, 285, 271, 267, 7682, 263, 544, 16435, 2999, 476, 275, 10086, 5415, 982, 476, 275, 15654, 2338, 256, 262, 5148, 1439, 535, 2745, 325, 28361, 3279, 284, 260, 323, 2433, 15528, 256, 315, 333, 3299, 320, 5148, 1439, 4939, 535, 2745, 325, 28361, 333, 26142, 333, 2419, 3089, 7439, 5142, 1131, 581, 10583, 256, 315, 333, 10807, 4939, 4939, 692, 14818, 532, 1862, 513, 284, 271, 2433, 15528, 256, 513, 284, 272, 2433, 15528, 256, 513, 284, 273, 2433, 15528, 256, 513, 284, 274, 2433, 15528, 256, 513, 284, 275, 2433, 15528, 256, 513, 284, 276, 2433, 15528, 256, 513, 284, 277, 2433, 15528, 256, 513, 284, 278, 2433, 15528, 256, 513, 284, 279, 2433, 15528, 256, 1547, 932, 3089, 7439, 5142, 1131, 581, 10583, 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 ]
[ 0, 1012, 8752, 610, 24581, 692, 12244, 1826, 281, 20308, 11314, 692, 1012, 8752, 610, 24581, 692, 17345, 454, 12385, 24136, 454, 28062, 566, 454, 4089, 454, 22709, 454, 11073, 2492, 454, 23409, 610, 24581, 454, 12244, 7392, 454, 11328, 5562, 11314, 454, 12244, 9517, 454, 18231, 7761, 692, 1012, 4530, 30266, 10118, 692, 1432, 513, 13085, 3135, 596, 723, 26008, 594, 2648, 621, 267, 2523, 607, 621, 17990, 803, 3108, 543, 3108, 540, 2182, 960, 269, 11524, 945, 10093, 1405, 1336, 707, 3135, 2943, 1810, 1405, 917, 1018, 789, 616, 7508, 2439, 1012, 5245, 1107, 8241, 15099, 692, 1892, 476, 7462, 20970, 543, 16387, 454, 1892, 4635, 4559, 540, 6482, 692, 1892, 8028, 12613, 294, 24879, 1107, 2422, 1463, 543, 9940, 16198, 547, 6430, 799, 568, 3476, 267, 18219, 610, 6585, 811, 267, 543, 2491, 7744, 538, 4948, 1893, 692, 1012, 1715, 10215, 1107, 2817, 11621, 692, 1892, 476, 7462, 476, 272, 14371, 300, 1107, 16387, 543, 6482, 454, 1892, 476, 272, 14371, 300, 269, 272, 1107, 14424, 519, 13080, 267, 2127, 267, 12531, 610, 19206, 267, 543, 12035, 540, 3615, 2047, 692, 1892, 476, 7462, 476, 273, 14371, 300, 1107, 16387, 543, 6482, 454, 1892, 476, 273, 14371, 300, 269, 272, 1107, 14424, 519, 13080, 267, 2127, 267, 12531, 610, 19206, 267, 543, 12035, 540, 3615, 543, 519, 546, 15342, 540, 2621, 267, 1210, 1582, 7302, 4923, 4559, 540, 6482, 692, 1892, 476, 7462, 476, 274, 14371, 300, 1107, 16387, 543, 6482, 454, 1892, 476, 274, 14371, 300, 269, 272, 1107, 12763, 519, 13080, 267, 2127, 267, 12531, 610, 19206, 267, 543, 12035, 540, 3615, 543, 519, 8653, 540, 2621, 267, 1210, 5276, 2898, 5991, 3784, 10253, 543, 7311, 2596, 1840, 5013, 547, 3044, 4559, 692, 1012, 2136, 8003, 1107, 2817, 15099, 692, 1892, 476, 7462, 5729, 476, 272, 10872, 540, 1353, 454, 1892, 23794, 272, 28629, 272, 8160, 1107, 20970, 692, 1892, 32167, 2812, 1058, 581, 6026, 547, 1384, 1892, 23794, 272, 28629, 272, 8160, 269, 272, 1107, 14424, 267, 4766, 543, 4194, 4052, 2042, 585, 1384, 1892, 23794, 272, 28629, 272, 8160, 269, 272, 12500, 281, 2527, 270, 7076, 1496, 1721, 1383, 267, 5230, 270, 2775, 267, 18219, 982, 267, 14402, 982, 6540, 1012, 2136, 2276, 1107, 5871, 11759, 3557, 11621, 692, 1892, 476, 7462, 918, 8160, 291, 1107, 20970, 1299, 4578, 454, 1892, 9119, 692, 1892, 918, 8160, 291, 269, 272, 1107, 14674, 22905, 10305, 540, 3615, 267, 971, 607, 3259, 610, 2597, 269, 14674, 1896, 22905, 10305, 540, 513, 2582, 1843, 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 ]
[ 0, 5814, 4351, 454, 2745, 2891, 7052, 265, 955, 7052, 265, 654, 5085, 4596, 10933, 5990, 645, 5456, 294, 12239, 30316, 8577, 5058, 717, 28719, 2878, 30995, 9339, 7052, 265, 15419, 29674, 307, 2586, 815, 476, 271, 692, 2745, 2891, 1432, 568, 707, 2012, 14609, 344, 286, 2580, 1439, 6889, 19515, 4067, 815, 3403, 4590, 2745, 2891, 2791, 723, 1152, 476, 4962, 7058, 547, 2119, 24333, 2012, 2020, 15893, 815, 4351, 27110, 263, 272, 267, 476, 1911, 2020, 1721, 7058, 307, 2586, 538, 2039, 263, 276, 2187, 825, 1820, 2891, 12648, 513, 7058, 5602, 825, 7058, 815, 3403, 4590, 825, 7058, 815, 703, 263, 29674, 2020, 825, 952, 7058, 2999, 1297, 912, 1038, 1820, 2891, 7312, 7058, 568, 1932, 1970, 5602, 825, 952, 7058, 3436, 1297, 912, 1038, 1820, 2891, 7312, 7058, 568, 1932, 1164, 5602, 825, 952, 7058, 2652, 1297, 912, 1038, 2736, 692, 604, 7058, 2652, 1297, 912, 825, 7058, 307, 2586, 815, 1193, 263, 29674, 307, 2586, 1341, 476, 272, 994, 825, 1820, 2891, 2791, 3094, 1310, 2580, 7058, 307, 2586, 267, 834, 29674, 15419, 604, 7058, 11203, 1297, 912, 825, 1297, 815, 1193, 28840, 994, 825, 1820, 2891, 2791, 616, 856, 540, 519, 2039, 476, 4962, 5602, 825, 1820, 2891, 763, 1297, 594, 729, 3206, 540, 729, 24333, 1297, 267, 834, 1701, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 454, 3698, 23396, 263, 569, 560, 267, 328, 25814, 2187, 453, 18851, 2750, 4219, 519, 3688, 693, 2990, 1775, 543, 795, 1547, 12163, 453, 31184, 284, 569, 560, 5157, 2639, 453, 569, 560, 5157, 24557, 569, 560, 14728, 2639, 453, 569, 560, 14728, 24557, 31184, 7531, 3698, 844, 545, 4242, 677, 263, 569, 560, 2187, 453, 638, 6506, 677, 13900, 704, 263, 569, 560, 267, 271, 267, 6352, 263, 569, 560, 9984, 272, 2020, 692, 3698, 844, 6506, 677, 13900, 704, 263, 569, 560, 267, 3847, 267, 2431, 2187, 14851, 2451, 283, 2431, 912, 453, 453, 335, 643, 582, 19613, 284, 4820, 819, 263, 569, 560, 267, 3847, 267, 2431, 994, 453, 453, 638, 6506, 677, 13900, 704, 263, 569, 560, 267, 3847, 28872, 643, 582, 19613, 268, 272, 994, 453, 453, 638, 6506, 677, 13900, 704, 263, 569, 560, 28872, 643, 582, 19613, 266, 272, 267, 2431, 2020, 692, 3698, 15652, 263, 569, 560, 267, 3847, 267, 2431, 2187, 453, 258, 22772, 519, 22141, 543, 5385, 621, 609, 519, 2063, 6221, 454, 453, 332, 1497, 14352, 3847, 266, 2431, 264, 2260, 273, 454, 453, 335, 643, 582, 284, 569, 560, 314, 2431, 2639, 453, 569, 560, 314, 332, 1497, 24557, 569, 560, 314, 2431, 2639, 453, 569, 560, 314, 2431, 24557, 335, 643, 582, 454, 453, 258, 13729, 519, 10465, 1448, 547, 1101, 2990, 454, 453, 20129, 776, 284, 3847, 454, 453, 258, 332, 913, 3688, 1447, 982, 22141, 547, 519, 2451, 3097, 22610, 4994, 538, 2039, 263, 3847, 267, 2431, 2187, 453, 14851, 11430, 560, 27709, 316, 283, 335, 643, 582, 912, 4848, 453, 1873, 777, 263, 569, 560, 267, 8161, 14720, 895, 776, 994, 4848, 453, 20129, 776, 23785, 272, 454, 453, 258, 2750, 4219, 4214, 540, 519, 23396, 1599, 4422, 1934, 454, 453, 1873, 777, 263, 569, 560, 267, 2431, 14720, 895, 776, 994, 16596, 10465, 19638, 692, 5814, 4351, 8528, 3698, 1292, 4433, 1125, 284, 736, 29679, 677, 284, 638, 545, 4242, 677, 2187, 453, 569, 560, 17342, 2639, 22610, 1293, 538, 2039, 4433, 1125, 2187, 453, 453, 569, 560, 6910, 263, 12690, 27110, 263, 272, 267, 21653, 266, 272, 4917, 13537, 263, 569, 560, 994, 453, 338, 677, 263, 569, 560, 994, 13537, 263, 569, 560, 2020, 692, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 28751, 453, 10852, 4590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8702, 547, 938, 5767, 7045, 883, 519, 4241, 1158, 540, 5904, 256, 4653, 267, 649, 786, 2263, 1945, 1572, 519, 834, 2889, 322, 257, 6119, 2448, 269, 5213, 1405, 5855, 827, 1018, 602, 1797, 1175, 2943, 282, 676, 519, 1439, 540, 713, 3992, 267, 596, 3513, 723, 513, 4396, 1620, 540, 875, 621, 1568, 543, 1946, 621, 781, 1271, 780, 5331, 707, 2780, 607, 513, 14297, 2749, 609, 1114, 16973, 1141, 1585, 2238, 1491, 1747, 269, 3962, 3498, 267, 3014, 267, 610, 1062, 1599, 814, 922, 2189, 2232, 1369, 713, 5318, 1558, 24227, 269, 3767, 267, 1577, 781, 1589, 540, 519, 834, 2889, 322, 257, 6119, 2448, 607, 513, 2027, 4786, 540, 713, 2749, 1765, 821, 602, 2636, 721, 547, 32708, 3330, 891, 3156, 543, 1174, 875, 789, 960, 1247, 789, 2811, 909, 543, 4881, 269, 15346, 267, 1318, 2496, 4131, 781, 4685, 4514, 883, 519, 1523, 540, 519, 834, 2889, 322, 257, 6119, 2448, 543, 1294, 1018, 2306, 621, 865, 9058, 269, 1284, 2907, 5018, 602, 621, 3252, 899, 513, 4786, 267, 3850, 721, 547, 1413, 693, 519, 6418, 25029, 540, 3157, 8345, 593, 707, 2780, 269, 1809, 1018, 1281, 602, 2731, 1611, 286, 4270, 267, 4952, 4730, 707, 5172, 3381, 3014, 267, 543, 10393, 267, 596, 1831, 8049, 827, 875, 1082, 3197, 972, 616, 538, 519, 1650, 269, 2060, 519, 948, 540, 519, 834, 2889, 322, 257, 6119, 2448, 267, 649, 1223, 2965, 1265, 856, 2439, 3086, 267, 594, 917, 1018, 596, 1522, 581, 3206, 281, 834, 3719, 7227, 267, 3884, 1405, 602, 32415, 2576, 781, 7834, 8119, 4279, 2243, 256, 1306, 1454, 1187, 607, 2879, 334, 14563, 1472, 4992, 267, 649, 991, 547, 2327, 3025, 781, 3106, 543, 3354, 269, 2334, 781, 1141, 2934, 899, 834, 327, 728, 3671, 257, 2097, 538, 13561, 269, 5994, 1373, 2111, 547, 9376, 1978, 2127, 540, 519, 4786, 2476, 950, 14538, 3643, 267, 4180, 1152, 17101, 2043, 666, 1569, 6213, 1344, 269, 1635, 4259, 519, 834, 327, 728, 3671, 257, 1871, 547, 476, 272, 267, 2834, 3755, 4465, 1405, 581, 4847, 547, 1093, 651, 1472, 538, 1866, 262, 1870, 267, 1818, 2386, 3388, 13978, 2922, 543, 3280, 780, 296, 4126, 596, 10150, 1565, 827, 519, 834, 2889, 322, 257, 6119, 2448, 543, 922, 11580, 256, 5457, 267, 1256, 1498, 649, 8268, 513, 6263, 851, 540, 519, 1950, 7122, 3330, 707, 2780, 267, 1169, 2370, 3787, 2337, 721, 5660, 1175, 875, 5863, 2029, 5963, 568, 269, 19402, 1985, 942, 267, 6126, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2889, 322, 910, 1184, 1344, 29660, 1922, 3796, 2448, 454, 763, 22876, 6119, 2448, 568, 513, 29660, 1922, 3796, 2448, 799, 2488, 606, 8818, 547, 17830, 1239, 3889, 269, 898, 568, 4122, 15841, 693, 1315, 2889, 322, 269, 4107, 540, 621, 568, 1224, 26209, 267, 855, 930, 6119, 1450, 17830, 4632, 547, 581, 4957, 269, 6778, 3681, 634, 22876, 6119, 2448, 7028, 519, 1739, 4410, 3681, 281, 12404, 3671, 284, 333, 630, 26238, 12380, 476, 274, 269, 274, 264, 901, 4781, 8060, 945, 666, 1569, 519, 1344, 538, 1315, 2889, 322, 270, 314, 3671, 316, 1463, 1559, 269, 634, 4661, 267, 562, 267, 568, 835, 540, 519, 1739, 2418, 281, 476, 271, 5272, 7853, 949, 1569, 782, 1315, 2889, 322, 270, 314, 3671, 316, 1463, 1559, 269, 901, 568, 519, 2757, 2623, 267, 543, 519, 9949, 952, 713, 4410, 4781, 568, 711, 9138, 269, 476, 272, 20305, 949, 711, 1569, 6119, 543, 1016, 29715, 1559, 3330, 1022, 1315, 2889, 322, 270, 314, 3671, 316, 1463, 1559, 855, 741, 1378, 630, 1492, 1315, 2889, 322, 270, 314, 3671, 316, 1463, 1559, 2933, 2611, 7298, 1040, 11576, 1438, 6119, 971, 607, 1315, 2889, 322, 270, 314, 3671, 316, 270, 9492, 323, 1467, 543, 1315, 2889, 322, 270, 314, 3671, 316, 270, 560, 9850, 616, 1631, 6870, 1996, 824, 3755, 269, 901, 2306, 621, 7543, 547, 1451, 2436, 1022, 3593, 568, 4881, 513, 1808, 1982, 630, 810, 1279, 607, 519, 1982, 3085, 1405, 522, 628, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 14691, 1315, 27122, 1315, 21642, 631, 10248, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3383, 267, 875, 1281, 519, 2545, 22083, 960, 630, 663, 875, 666, 596, 798, 519, 1482, 3364, 538, 606, 981, 264, 2496, 763, 1739, 1505, 5205, 519, 1259, 630, 520, 2547, 538, 6240, 264, 602, 519, 10084, 29441, 10872, 31758, 4834, 1384, 12648, 519, 3830, 1384, 290, 340, 1341, 670, 17472, 274, 9847, 19923, 263, 17472, 274, 264, 273, 1341, 12971, 1341, 670, 273, 302, 780, 5575, 2322, 7164, 14170, 593, 782, 1106, 27909, 12327, 4753, 8976, 519, 1101, 267, 4734, 713, 693, 476, 272, 780, 290, 340, 1341, 513, 670, 17472, 274, 9847, 536, 19923, 263, 17472, 274, 264, 273, 1341, 524, 12971, 1341, 546, 670, 273, 302, 780, 10190, 12337, 519, 1367, 11046, 3347, 971, 602, 454, 516, 716, 656, 8444, 815, 1587, 8444, 1384, 19923, 1341, 513, 670, 17472, 274, 25341, 536, 19923, 263, 17472, 274, 264, 273, 1341, 524, 12971, 1341, 546, 670, 273, 302, 19923, 8444, 281, 476, 272, 815, 536, 670, 8444, 513, 815, 476, 273, 546, 715, 8444, 513, 815, 476, 273, 536, 524, 744, 8444, 476, 274, 513, 815, 476, 277, 536, 524, 546, 692, 3383, 476, 275, 4834, 666, 581, 2854, 538, 519, 476, 275, 26968, 985, 1384, 296, 281, 272, 815, 536, 692, 2862, 281, 513, 815, 476, 273, 323, 692, 7656, 281, 513, 815, 476, 273, 321, 1341, 524, 692, 4353, 281, 476, 274, 320, 815, 476, 277, 321, 1341, 524, 1341, 546, 692, 3086, 782, 602, 568, 2877, 568, 547, 4194, 585, 519, 4632, 513, 267, 536, 267, 524, 267, 543, 546, 780, 7712, 536, 815, 476, 272, 630, 296, 264, 543, 513, 815, 476, 273, 323, 630, 7656, 1070, 692, 11357, 560, 3482, 585, 536, 538, 8633, 547, 2285, 630, 309, 264, 513, 815, 476, 273, 1341, 524, 692, 663, 585, 536, 543, 546, 538, 630, 4353, 264, 547, 2285, 630, 9654, 264, 476, 274, 320, 815, 476, 277, 1341, 524, 1341, 513, 270, 273, 630, 528, 476, 276, 320, 270, 273, 815, 476, 277, 1341, 524, 2020, 5804, 966, 267, 12990, 524, 815, 513, 910, 476, 273, 883, 17886, 1384, 276, 320, 270, 273, 815, 476, 277, 1341, 513, 910, 476, 273, 630, 528, 476, 274, 320, 270, 273, 815, 476, 275, 2020, 5804, 799, 513, 815, 476, 279, 270, 274, 780, 3086, 267, 2324, 23651, 281, 524, 815, 513, 910, 476, 273, 815, 476, 279, 270, 274, 910, 476, 273, 815, 476, 273, 270, 274, 692, 663, 6368, 281, 546, 815, 513, 270, 273, 815, 476, 275, 270, 274, 780, 3383, 519, 476, 276, 14170, 630, 514, 1931, 264, 616, 1384, 272, 267, 476, 279, 270, 274, 267, 476, 272, 267, 476, 273, 270, 274, 543, 476, 275, 270, 274, 780, 2414, 1118, 891, 2898, 2338, 267, 9062, 2429, 676, 1614, 547, 1205, 1384, 274, 267, 476, 279, 267, 476, 274, 267, 476, 273, 267, 543, 476, 275, 780, 763, 7059, 3830, 568, 4061, 1384, 274, 19923, 1341, 476, 279, 670, 17472, 274, 9847, 476, 274, 19923, 263, 17472, 274, 264, 273, 1341, 476, 273, 12971, 1341, 476, 275, 670, 273, 302, 780, 3383, 1631, 596, 917, 2439, 2457, 909, 18141, 281, 25272, 8381, 32024, 563, 296, 1131, 5660, 8292, 543, 23937, 676, 552, 13875, 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 ]
[ 0, 306, 12944, 454, 21938, 476, 1724, 267, 476, 1001, 277, 692, 258, 14581, 6435, 281, 2979, 692, 16829, 676, 667, 11921, 593, 13638, 267, 4989, 476, 277, 267, 476, 1001, 271, 693, 476, 272, 281, 1626, 600, 780, 6011, 1082, 20990, 540, 1216, 1590, 581, 3773, 547, 476, 1789, 20990, 540, 513, 476, 736, 260, 4568, 3070, 547, 32561, 621, 547, 513, 476, 1428, 260, 3070, 888, 1892, 2979, 910, 27342, 335, 2720, 2917, 267, 13638, 267, 4989, 476, 277, 267, 476, 1001, 271, 693, 476, 278, 281, 4029, 600, 692, 9767, 616, 32561, 532, 621, 476, 736, 270, 1428, 284, 272, 269, 18357, 2053, 692, 11754, 835, 851, 3070, 267, 1547, 18357, 18357, 1216, 780, 1607, 1797, 952, 835, 851, 568, 476, 1789, 20990, 267, 1039, 476, 1015, 20990, 1216, 780, 13425, 281, 1547, 273, 265, 1789, 14370, 2412, 266, 1015, 6661, 277, 270, 2412, 284, 269, 1428, 610, 476, 1428, 2600, 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 ]
[ 0, 20797, 14572, 6034, 543, 769, 2091, 7352, 566, 13445, 12039, 1923, 10789, 273, 20081, 3419, 12039, 1923, 3204, 757, 11929, 16721, 4741, 692, 24169, 519, 1739, 8390, 2042, 1210, 519, 1697, 4542, 780, 476, 272, 24438, 631, 9775, 2047, 609, 533, 269, 1109, 1403, 1109, 300, 815, 476, 4037, 950, 533, 815, 476, 1015, 267, 1265, 631, 950, 533, 815, 476, 1626, 780, 476, 273, 681, 9775, 11201, 569, 609, 4756, 570, 269, 1109, 1403, 681, 568, 476, 12739, 950, 570, 815, 476, 2190, 267, 476, 1109, 22772, 681, 950, 570, 815, 476, 1789, 780, 476, 274, 24438, 962, 9775, 24973, 609, 623, 543, 1627, 269, 5231, 1403, 962, 815, 476, 13893, 950, 623, 815, 476, 1321, 543, 1627, 815, 476, 279, 267, 1265, 962, 950, 623, 815, 476, 1428, 543, 1627, 815, 476, 1839, 780, 476, 275, 634, 4320, 267, 966, 267, 540, 513, 3154, 9775, 11201, 569, 607, 519, 2604, 267, 533, 267, 538, 513, 8708, 269, 1109, 1403, 519, 4320, 540, 513, 3154, 568, 476, 1220, 764, 950, 519, 2604, 568, 476, 272, 269, 277, 20990, 829, 4009, 1298, 9014, 267, 1265, 519, 4320, 630, 1729, 519, 14282, 20870, 264, 950, 519, 2604, 568, 476, 273, 269, 279, 20990, 829, 13483, 1298, 9014, 269, 780, 476, 276, 24438, 570, 9775, 2047, 609, 519, 4009, 540, 544, 269, 1403, 570, 568, 476, 279, 950, 544, 815, 476, 273, 267, 1265, 570, 950, 544, 815, 476, 275, 780, 476, 277, 769, 2257, 267, 835, 3069, 540, 1272, 19104, 2829, 602, 519, 14438, 540, 11864, 9775, 11201, 569, 547, 519, 1297, 540, 2295, 2041, 1846, 829, 8792, 540, 519, 3662, 269, 1109, 1403, 513, 575, 8538, 559, 781, 2295, 20054, 476, 11740, 2053, 829, 8792, 543, 2729, 606, 3328, 540, 476, 274, 269, 276, 1296, 267, 1018, 1131, 581, 519, 1272, 19104, 540, 513, 1480, 609, 606, 3328, 540, 476, 7761, 20054, 829, 8792, 286, 1109, 6496, 713, 3069, 2408, 547, 3180, 585, 3425, 2496, 13445, 12039, 1923, 10789, 273, 20081, 3419, 12039, 1923, 3204, 757, 11929, 16721, 4741, 23095, 676, 19291, 21662 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 268, 1107, 2025, 1286, 12483, 3248, 268, 1107, 18849, 17180, 3248, 268, 1107, 4496, 23805, 3248, 268, 1107, 12853, 3070, 3248, 268, 1107, 16070, 32291, 563, 7093, 6768, 519, 12483, 543, 782, 2556, 2326, 269, 3245, 519, 2645, 596, 786, 991, 513, 25921, 8325, 2989, 18849, 17180, 543, 606, 5086, 32291, 269, 1677, 1118, 2095, 8538, 2644, 621, 568, 1732, 547, 1491, 513, 12483, 540, 16865, 2504, 269, 9521, 6469, 18646, 267, 16865, 616, 1454, 811, 13412, 267, 865, 789, 616, 4443, 547, 2490, 856, 563, 4415, 513, 18849, 17180, 267, 16013, 519, 12483, 593, 519, 1647, 1899, 540, 922, 960, 2627, 269, 1677, 1118, 519, 2104, 8768, 5127, 723, 513, 811, 10694, 1413, 267, 596, 666, 2759, 707, 32179, 711, 1279, 2595, 3373, 267, 855, 1990, 580, 345, 698, 269, 1924, 596, 666, 1205, 4190, 21083, 24968, 269, 1809, 596, 949, 1134, 7110, 519, 12483, 609, 1225, 569, 18921, 1154, 543, 1310, 519, 1292, 18309, 269, 7994, 519, 4781, 602, 4667, 1447, 942, 21791, 547, 596, 563, 2414, 1832, 519, 960, 2469, 5488, 267, 21237, 6632, 519, 17180, 538, 513, 12853, 3070, 269, 28981, 519, 12483, 2394, 519, 17180, 18953, 519, 4496, 10260, 269, 1677, 2490, 519, 12483, 856, 568, 4443, 267, 16013, 519, 10260, 609, 4496, 23805, 610, 606, 5086, 32291, 269, 634, 8545, 4781, 1131, 3648, 3432, 909, 519, 960, 563, 290, 7491, 593, 519, 4496, 10260, 1118, 827, 476, 1428, 4699, 6306, 269, 28528, 4283, 519, 5969, 1167, 883, 519, 3382, 543, 2046, 519, 1907, 2394, 31168, 10836, 689, 519, 12210, 563, 2691, 782, 519, 960, 540, 16013, 2719, 519, 12483, 568, 8737, 267, 8399, 547, 2490, 519, 12483, 856, 2047, 269, 12414, 856, 519, 1587, 538, 1507, 2694, 267, 7930, 2810, 519, 5305, 2627, 540, 519, 12483, 269, 901, 960, 568, 1360, 942, 21791, 267, 8506, 9639, 543, 16517, 1145, 269, 1879, 519, 12483, 568, 18202, 856, 676, 827, 3368, 267, 2119, 547, 4019, 513, 811, 1713, 3196, 543, 2490, 621, 856, 4625, 563, 16352, 8737, 519, 1184, 267, 4983, 707, 5137, 269, 1306, 513, 1267, 267, 596, 1058, 1205, 513, 5033, 4565, 766, 540, 513, 2620, 12826, 2348, 513, 9962, 5580, 851, 29600, 676, 21083, 24968, 269, 3767, 5862, 713, 12826, 609, 513, 2681, 3617, 5862, 543, 1305, 621, 538, 707, 6074, 1747, 607, 513, 8768, 5127, 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 ]
[ 0, 5522, 622, 570, 624, 9582, 5675, 12143, 454, 10743, 2347, 513, 1603, 7084, 5059, 593, 519, 946, 540, 1239, 547, 1489, 519, 3069, 540, 6676, 23033, 9582, 269, 1358, 1569, 1239, 1210, 519, 834, 5978, 25674, 14136, 257, 7131, 15375, 267, 7001, 2592, 540, 519, 1239, 13602, 267, 543, 6451, 873, 883, 741, 1603, 269, 570, 454, 280, 628, 910, 14451, 3798, 3163, 476, 2420, 14358, 476, 10170, 20042, 454, 7476, 519, 16514, 910, 27275, 16661, 28977, 543, 4033, 10439, 11724, 725, 454, 8489, 553, 519, 3992, 568, 606, 2079, 540, 4365, 5829, 1239, 267, 621, 666, 581, 1031, 538, 1022, 2257, 1362, 547, 4001, 875, 547, 2689, 1239, 267, 11708, 267, 543, 3308, 3631, 585, 22317, 1344, 267, 543, 875, 3006, 891, 11269, 948, 547, 12172, 2483, 276, 628, 910, 476, 280, 628, 3163, 454, 8794, 17164, 566, 267, 2776, 27457, 2787, 267, 543, 17183, 18323, 547, 5530, 8693, 2098, 2158, 454, 8794, 8331, 781, 14970, 7457, 18218, 267, 3618, 3744, 5635, 519, 2837, 267, 13247, 267, 543, 28348, 3017, 10664, 4994, 585, 2185, 1114, 6753, 269, 1358, 946, 519, 1239, 547, 2697, 519, 2916, 7997, 540, 1142, 4087, 1210, 2483, 277, 628, 910, 476, 1321, 628, 3163 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12892, 21637, 518, 267, 6406, 7126, 2920, 22999, 269, 1261, 729, 513, 1283, 9114, 23133, 547, 3220, 269, 9410, 13162, 3751, 267, 12789, 1421, 12180, 1010, 2038, 22415, 1127, 543, 23405, 2066, 519, 3162, 269, 1261, 5280, 1291, 519, 15292, 2066, 519, 31611, 8891, 339, 639, 15167, 538, 17286, 2742, 267, 17665, 267, 593, 4728, 476, 278, 267, 476, 3422, 276, 267, 950, 3043, 7708, 641, 619, 543, 521, 615, 858, 781, 1244, 583, 625, 1031, 15237, 3154, 267, 3781, 560, 6506, 543, 627, 2354, 547, 2736, 909, 519, 15292, 269, 634, 30891, 936, 713, 10071, 267, 1634, 607, 834, 26108, 344, 10732, 2580, 3366, 547, 519, 8574, 540, 519, 966, 7627, 7126, 2920, 269, 769, 476, 3192, 271, 267, 1010, 17933, 1996, 6710, 3366, 1864, 547, 1376, 24611, 781, 5993, 834, 293, 3975, 634, 12017, 787, 543, 13067, 6804, 257, 21175, 12129, 267, 4543, 5215, 540, 4057, 543, 15602, 1169, 1032, 547, 6980, 267, 13508, 267, 543, 1072, 1416, 269, 769, 476, 2735, 278, 267, 646, 3366, 1079, 22415, 1127, 883, 674, 832, 2814, 6019, 267, 11908, 267, 513, 1287, 12303, 782, 22554, 6917, 10315, 5087, 540, 24611, 799, 2663, 2968, 513, 3728, 21212, 24611, 1016, 7875, 269, 634, 1101, 15292, 3366, 547, 513, 30925, 1141, 27173, 918, 12999, 918, 17427, 2818, 543, 18793, 669, 5896, 7292, 1793, 2720, 543, 10652, 1540, 873, 609, 7725, 543, 14569, 269, 634, 2034, 15292, 998, 674, 832, 2814, 6019, 13631, 936, 476, 736, 267, 1822, 5171, 543, 2968, 519, 4102, 3540, 2924, 17431, 2094, 519, 476, 3422, 271, 338, 269, 1261, 10294, 5128, 547, 581, 834, 684, 321, 4454, 543, 30898, 1601, 539, 2580, 9236, 5128, 547, 3751, 781, 824, 9114, 9790, 1218, 945, 1185, 10736, 741, 7681, 609, 519, 3540, 2924, 3350, 883, 29988, 1164, 1790, 11691, 11678, 585, 2933, 563, 27807, 676, 281, 19378, 13879 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18439, 11020, 22709, 454, 18704, 692, 258, 6201, 540, 9695, 2079, 692, 1607, 1543, 729, 5254, 5357, 2894, 689, 11020, 22709, 2593, 910, 7348, 519, 3312, 267, 543, 1205, 519, 2907, 10687, 921, 1540, 3070, 1934, 2439, 5629, 649, 1376, 547, 1589, 827, 621, 267, 9695, 568, 3730, 538, 1082, 1114, 3871, 269, 12315, 606, 1383, 540, 875, 596, 1522, 946, 9695, 2079, 538, 707, 960, 269, 1306, 851, 540, 707, 2626, 2285, 519, 2203, 596, 1131, 946, 543, 2491, 1946, 596, 8359, 519, 1808, 4830, 4632, 2016, 538, 707, 2203, 269, 594, 1378, 1250, 1378, 23891, 3218, 658, 2754, 780, 10059, 2517, 28090, 21346, 2593, 23995, 520, 2524, 270, 2958, 1833, 20400, 270, 1410, 3263, 6361, 15696, 1833, 20400, 268, 27840, 280, 6246, 692, 2971, 8827, 2776, 1613, 692, 8450, 7923, 3758, 780, 1103, 26539, 707, 1378, 23891, 3218, 658, 2754, 267, 596, 949, 2322, 538, 606, 2179, 540, 3108, 1142, 3923, 269, 901, 2179, 949, 4268, 269, 3683, 513, 476, 1321, 18881, 1974, 596, 949, 3328, 1346, 2338, 267, 855, 713, 3085, 1405, 2995, 27250, 2971, 8827, 12834, 692, 11405, 568, 606, 1383, 538, 9185, 540, 5276, 9695, 4294, 547, 3108, 12605, 585, 513, 23891, 3218, 658, 1507, 1870, 780, 15478, 273, 269, 866, 454, 13436, 5403, 532, 692, 1012, 15932, 12726, 692, 288, 2487, 2376, 538, 645, 7572, 1145, 10432, 7396, 519, 1655, 1507, 3549, 269, 1284, 616, 5461, 538, 519, 1699, 2164, 540, 519, 3549, 6455, 543, 15271, 269, 589, 4351, 3732, 540, 476, 1321, 3549, 729, 5697, 543, 519, 6455, 543, 15271, 267, 538, 6634, 540, 9489, 267, 616, 4080, 2630, 780, 4467, 11952, 19833, 2423, 11789, 454, 7268, 259, 6634, 264, 630, 15478, 15271, 2020, 303, 23981, 3627, 781, 4139, 476, 8660, 269, 273, 476, 275, 269, 280, 692, 7343, 29736, 16743, 476, 1240, 269, 277, 476, 275, 269, 275, 692, 18204, 2350, 732, 476, 1240, 269, 273, 476, 272, 269, 274, 692, 310, 718, 4578, 476, 10170, 269, 278, 476, 279, 269, 271, 692, 291, 822, 1749, 517, 4889, 919, 476, 6812, 269, 277, 476, 277, 269, 277, 692, 2419, 4815, 781, 674, 553, 476, 5379, 269, 279, 476, 275, 269, 272, 692, 4467, 11952, 19833, 2423, 11789, 454, 7268, 259, 6634, 264, 630, 15478, 6634, 2020, 13425, 22940, 22997, 476, 1704, 269, 276, 476, 273, 269, 277, 692, 305, 5819, 717, 8692, 476, 1556, 269, 280, 476, 272, 269, 278, 692, 300, 8862, 1511, 476, 866, 269, 277, 476, 274, 269, 276, 692, 306, 6326, 9539, 4149, 331, 728, 476, 7906, 269, 273, 476, 279, 269, 273, 692, 291, 320, 580, 476, 2764, 269, 277, 476, 277, 269, 271, 692, 290, 984, 571, 717, 6504, 476, 7597, 269, 273, 476, 1321, 269, 279, 692, 4131, 6455, 581, 519, 4830, 4756, 543, 15271, 581, 519, 8200, 4756, 780, 288, 269, 8571, 513, 14649, 4511, 4048, 332, 780, 289, 269, 30770, 519, 1071, 18026, 540, 9756, 780, 290, 269, 30770, 519, 1071, 18026, 540, 8990, 780, 291, 269, 19873, 707, 4681, 538, 851, 645, 543, 595, 780, 292, 269, 14419, 519, 9695, 3830, 780, 293, 269, 585, 513, 1507, 2754, 609, 476, 2004, 269, 271, 2929, 538, 6455, 267, 7447, 519, 15271, 780, 8698, 9509, 5403, 532, 19672 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15079, 421, 375, 502, 18777, 353, 15159, 18743, 454, 11133, 815, 346, 8679, 2745, 263, 6943, 16325, 4297, 1948, 2999, 5035, 1412, 18743, 262, 285, 692, 11133, 815, 2715, 272, 267, 273, 267, 274, 267, 275, 348, 282, 1820, 263, 6943, 16325, 4297, 282, 567, 1948, 2999, 5035, 1412, 3553, 262, 285, 692, 11133, 273, 815, 2715, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 276, 267, 276, 267, 275, 267, 274, 267, 273, 267, 272, 8679, 2745, 16325, 273, 5148, 4449, 567, 1948, 28859, 505, 484, 12571, 486, 30317, 27381, 510, 417, 498, 363, 13601, 8147, 25263, 504, 420, 485, 359, 20693, 357, 31308, 375, 26406, 487, 19404, 491, 14035, 491, 7511, 30317, 27381, 510, 692, 2745, 12759, 16325, 273, 4297, 3546, 1948, 28859, 505, 484, 12571, 486, 7511, 30317, 27381, 510, 14748, 12255, 7531, 258, 1003, 273, 314, 273, 316, 567, 476, 2971, 7462, 476, 21251, 418, 498, 363, 418, 490, 479, 27381, 351, 19764, 499, 8147, 18713, 510, 20992, 421, 505, 484, 12571, 486, 20721, 510, 31365, 563, 2018, 1948, 7392, 13286, 281, 1412, 3553, 262, 1843, 1281, 711, 1489, 4994, 532, 7531, 3553, 272, 815, 1305, 3890, 282, 2745, 263, 3553, 272, 267, 6943, 263, 3553, 272, 4297, 282, 476, 1948, 476, 21251, 15159, 346, 9574, 476, 26033, 490, 15159, 3553, 30800, 3553, 272, 815, 1305, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 316, 5148, 2745, 263, 3553, 272, 5148, 1948, 476, 17958, 23746, 13213, 511, 28786, 28098, 420, 365, 350, 22909, 482, 20881, 510, 3553, 692, 258, 17276, 478, 492, 18263, 486, 17958, 7511, 28786, 419, 510, 479, 14395, 508, 27064, 364, 22909, 482, 20881, 510, 1305, 692, 11133, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 276, 267, 276, 267, 275, 267, 274, 267, 273, 267, 272, 267, 271, 2639, 31184, 815, 11713, 1721, 1142, 538, 1003, 272, 912, 825, 952, 1142, 711, 538, 10917, 912, 1038, 10917, 6910, 16216, 778, 994, 13872, 2745, 3890, 282, 2745, 6025, 11391, 264, 4449, 1948, 476, 10524, 483, 31308, 375, 26406, 487, 19404, 491, 14035, 491, 7511, 29219, 8147, 10533, 368, 12916, 497, 421, 350, 374, 31365, 21251, 9463, 502, 454, 11133, 272, 815, 1592, 263, 3553, 6025, 11391, 4297, 282, 2745, 16325, 272, 264, 476, 1948, 476, 20069, 10429, 370, 10524, 500, 28098, 420, 365, 350, 13213, 505, 27310, 22909, 482, 20881, 510, 3553, 267, 30317, 27381, 510, 25263, 504, 13213, 505, 27310, 26406, 496, 31365, 692, 258, 538, 18998, 2254, 538, 419, 511, 487, 20881, 375, 20001, 495, 10254, 353, 13161, 511, 454, 2745, 263, 273, 538, 1003, 272, 5148, 2745, 263, 277, 711, 538, 1003, 272, 32007, 258, 1039, 267, 24525, 17276, 371, 375, 20693, 510, 25520, 26175, 375, 30522, 353, 30317, 27381, 510, 454, 11133, 272, 815, 1305, 16325, 272, 994, 11133, 272, 14491, 263, 277, 5148, 2745, 16325, 272, 5148, 11133, 272, 31927, 263, 271, 5148, 2745, 16325, 272, 2020, 258, 476, 21251, 23746, 9463, 502, 421, 505, 484, 12571, 486, 27818, 21251, 420, 25693, 13213, 505, 27310, 417, 351, 508, 10254, 510, 24724, 454, 320, 815, 8389, 17899, 564, 8443, 272, 267, 273, 267, 274, 267, 275, 316, 5148, 1820, 5416, 264, 476, 1948, 476, 8389, 17899, 564, 20719, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 348, 2020 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2999, 19370, 476, 273, 281, 4634, 25828, 2338, 11417, 1012, 3962, 1007, 2165, 538, 519, 25828, 5311, 568, 6383, 676, 4946, 519, 3097, 1012, 3105, 1079, 2474, 269, 1635, 4358, 609, 476, 272, 543, 476, 273, 267, 519, 1101, 476, 1015, 2474, 786, 581, 912, 1012, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1724, 267, 476, 2641, 267, 476, 4097, 267, 476, 4649, 267, 476, 8660, 267, 4429, 1012, 1635, 6236, 519, 2474, 538, 519, 25828, 5311, 4171, 2418, 798, 711, 3097, 1012, 9765, 2185, 2929, 267, 1265, 519, 2040, 540, 519, 1256, 29705, 4240, 2474, 780, 320, 284, 272, 454, 321, 284, 273, 454, 8999, 284, 273, 454, 322, 284, 271, 454, 6112, 524, 27045, 6110, 1822, 271, 912, 453, 322, 30381, 17070, 454, 14851, 524, 4939, 273, 2525, 271, 912, 453, 453, 8999, 284, 8999, 25239, 454, 453, 453, 320, 284, 321, 454, 453, 453, 321, 284, 322, 454, 2745, 4433, 636, 2020, 1012, 5775, 518, 2433, 476, 5379, 272, 32699, 273, 692 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1160, 1324, 602, 4399, 8999, 318, 2715, 333, 284, 272, 23685, 13727, 7346, 2765, 346, 8987, 272, 8203, 333, 7346, 6912, 23533, 3686, 4151, 4780, 2471, 692, 3682, 557, 602, 519, 1739, 3126, 4780, 2471, 1384, 11377, 8999, 318, 2715, 333, 284, 272, 23685, 13727, 7346, 2765, 346, 8987, 272, 8203, 333, 7346, 6912, 23533, 3686, 15732, 11377, 2765, 346, 272, 7346, 6912, 23533, 266, 272, 3686, 3436, 1422, 2765, 346, 272, 7346, 6912, 23533, 24995, 6695, 3916, 3709, 333, 1422, 1729, 1422, 13727, 348, 1422, 2765, 346, 272, 7346, 6912, 23533, 3686, 815, 476, 271, 2330, 1924, 267, 519, 20367, 3126, 4780, 2471, 780, 3674, 621, 1318, 547, 1250, 5650, 2496, 8894, 11039, 267, 4399, 2765, 346, 272, 7346, 6912, 23533, 266, 272, 14990, 2741, 1422, 2765, 346, 272, 7346, 6912, 23533, 3686, 8961, 855, 602, 4523, 547, 581, 1018, 596, 991, 269, 1107, 1109, 4517, 28584, 12832, 15614, 2904, 476, 3066, 1412, 1321, 693, 476, 276, 281, 6812, 692, 2414, 946, 10201, 908, 3126, 1449, 585, 3126, 4399, 8999, 8987, 272, 8203, 333, 513, 5332, 259, 596, 1058, 723, 454, 272, 269, 1269, 320, 5332, 315, 28254, 476, 271, 14204, 273, 269, 1269, 320, 5332, 315, 28254, 513, 3709, 333, 266, 272, 21456, 274, 269, 4399, 3916, 513, 5332, 815, 476, 271, 14204, 1103, 707, 1935, 596, 5206, 602, 1269, 320, 3709, 333, 266, 272, 348, 815, 1422, 2765, 346, 272, 7346, 6912, 23533, 266, 272, 3686, 285, 315, 2765, 346, 272, 7346, 6912, 562, 348, 815, 513, 3709, 333, 4151, 799, 568, 4636, 543, 711, 1018, 596, 991, 269, 674, 1460, 621, 543, 707, 3070, 786, 581, 2953, 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 ]
[ 0, 3698, 5595, 318, 24593, 5270, 19906, 2187, 825, 1293, 815, 476, 271, 454, 825, 9704, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 19906, 15892, 1038, 952, 2855, 5157, 316, 11203, 7183, 912, 2018, 952, 2855, 5157, 316, 4939, 476, 273, 2652, 476, 271, 912, 3546, 1293, 815, 1293, 1341, 476, 272, 454, 3546, 9704, 815, 9704, 1341, 476, 272, 454, 2018, 3116, 912, 3546, 9704, 815, 9704, 1341, 476, 272, 692, 825, 2063, 16229, 815, 9704, 1341, 1293, 454, 825, 1775, 815, 2063, 16229, 268, 272, 454, 825, 795, 815, 9704, 268, 272, 454, 825, 1247, 1775, 13843, 476, 271, 912, 1038, 2855, 5157, 316, 815, 2855, 14728, 2639, 1038, 1775, 815, 1775, 910, 476, 272, 454, 1038, 952, 2855, 5157, 266, 272, 316, 4939, 476, 273, 2652, 476, 271, 912, 2018, 2855, 5157, 316, 815, 2855, 14728, 2639, 2018, 1775, 815, 1775, 910, 476, 272, 454, 1038, 795, 815, 795, 268, 272, 454, 825, 2132, 2855, 7531, 3698, 1292, 10031, 825, 2855, 815, 1496, 272, 267, 273, 267, 276, 267, 277, 267, 279, 267, 1015, 267, 7183, 267, 14085, 267, 14085, 267, 14085, 267, 14085, 267, 14085, 2639, 825, 1820, 630, 29602, 318, 24593, 5270, 19906, 11723, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 28751, 825, 1292, 3890 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9741, 27692, 6068, 547, 1628, 1919, 269, 2290, 1554, 267, 1352, 4956, 547, 1628, 513, 5458, 15678, 609, 1079, 12209, 256, 2701, 4941, 519, 1101, 13617, 547, 723, 8370, 19683, 267, 543, 1142, 6989, 547, 723, 3670, 31508, 269, 1809, 1934, 781, 1141, 1352, 2877, 707, 948, 267, 15210, 5467, 910, 1352, 7012, 1405, 2386, 875, 1082, 11623, 1058, 3514, 883, 1142, 10689, 269, 2052, 596, 7058, 286, 2913, 781, 1289, 713, 7164, 1297, 1412, 343, 262, 780, 19602, 267, 1200, 3659, 5484, 729, 8049, 827, 1018, 2186, 540, 15678, 1185, 1114, 2338, 540, 11623, 593, 1142, 6989, 269, 1924, 789, 2893, 1524, 1927, 543, 3323, 23115, 856, 519, 2979, 269, 1358, 6785, 602, 519, 2034, 13617, 1131, 723, 5722, 19683, 267, 543, 1142, 6989, 1131, 723, 8370, 31508, 609, 17288, 11623, 1142, 269, 1656, 519, 2898, 15678, 1590, 723, 4010, 476, 275, 2190, 279, 11623, 2439, 257, 32452, 2437, 1767, 5484, 267, 27012, 1010, 24060, 24617, 267, 834, 10472, 568, 3833, 513, 11015, 10590, 22582, 646, 29860, 909, 689, 1010, 10160, 269, 834, 296, 917, 10590, 646, 608, 13094, 267, 834, 933, 666, 946, 7223, 547, 1265, 856, 875, 1082, 11623, 979, 538, 1142, 10689, 538, 519, 1101, 13617, 15323, 13051, 6045, 2417, 267, 834, 8450, 267, 649, 2907, 917, 602, 519, 1101, 13617, 814, 476, 280, 19683, 543, 476, 277, 31508, 829, 6989, 269, 1403, 649, 9062, 1346, 2338, 267, 1287, 1039, 519, 1267, 547, 519, 1587, 540, 476, 278, 19683, 2053, 476, 280, 31508, 2053, 476, 2412, 11623, 829, 10689, 538, 519, 2034, 13617, 267, 649, 1205, 938, 6264, 2698, 540, 476, 275, 2190, 279, 11623, 3010, 3383, 789, 7229, 5402, 267, 1818, 2386, 711, 547, 4413, 1022, 3268, 610, 7340, 1022, 4642, 525, 269, 2991, 930, 7920, 4946, 267, 18946, 267, 543, 14921, 267, 798, 596, 1616, 547, 917, 1018, 789, 4362, 286, 4270, 267, 1250, 2828, 267, 594, 13842, 547, 14922, 596, 267, 855, 972, 941, 1100, 811, 11623, 2451, 585, 519, 1101, 13617, 256, 898, 8604, 602, 782, 2139, 2230, 729, 1031, 676, 519, 2034, 13617, 269, 901, 6397, 2490, 6026, 2370, 27692, 543, 5484, 606, 1271, 3992, 281, 3006, 267, 1256, 950, 4058, 23939, 267, 2200, 1522, 1869, 2887, 2110, 269, 3807, 899, 3744, 7237, 9465, 2059, 741, 3460, 267, 865, 1932, 1705, 27692, 1247, 14335, 1200, 5326, 15678, 269, 11048, 267, 1169, 4161, 6799, 721, 609, 3255, 547, 1451, 543, 2087, 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, 299, 25475, 568, 2679, 513, 1007, 15678, 609, 1079, 12209, 269, 634, 1101, 13617, 814, 476, 280, 19683, 543, 1142, 6989, 814, 476, 277, 31508, 1142, 609, 1535, 11623, 269, 634, 2034, 13617, 814, 476, 278, 19683, 1142, 609, 476, 280, 31508, 609, 476, 2412, 11623, 1142, 269, 1703, 616, 476, 275, 2190, 279, 11623, 538, 519, 15678, 2698, 563, 2414, 4194, 713, 1966, 267, 649, 991, 547, 3313, 519, 1871, 540, 1535, 267, 799, 4564, 519, 1297, 540, 11623, 538, 1142, 10689, 593, 519, 1101, 13617, 563, 4131, 781, 2736, 1524, 519, 1344, 2016, 912, 10831, 540, 19683, 538, 519, 1101, 13617, 281, 476, 280, 454, 10831, 540, 31508, 593, 1142, 6989, 538, 519, 1101, 13617, 281, 476, 277, 454, 10831, 540, 11623, 538, 1142, 10689, 593, 519, 1101, 13617, 281, 1535, 454, 10831, 540, 19683, 538, 519, 2034, 13617, 281, 476, 278, 454, 10831, 540, 31508, 593, 1142, 6989, 538, 519, 2034, 13617, 281, 476, 280, 454, 10831, 540, 11623, 538, 1142, 10689, 593, 519, 2034, 13617, 281, 476, 2412, 454, 13707, 1297, 540, 11623, 538, 519, 15678, 281, 476, 275, 2190, 279, 454, 2171, 666, 1305, 909, 519, 3830, 607, 5205, 912, 263, 10831, 540, 19683, 538, 519, 1101, 13617, 2608, 7089, 540, 31508, 593, 1142, 6989, 538, 519, 1101, 13617, 2608, 7089, 540, 11623, 538, 1142, 10689, 593, 519, 1101, 13617, 264, 1341, 630, 10831, 540, 19683, 538, 519, 2034, 13617, 2608, 7089, 540, 31508, 593, 1142, 6989, 538, 519, 2034, 13617, 2608, 7089, 540, 887, 334, 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 ]
[ 0, 5814, 7194, 454, 333, 25507, 9272, 15405, 320, 17342, 2639, 1721, 1775, 538, 2039, 263, 271, 19885, 2187, 825, 513, 6910, 17301, 9272, 3890, 4917, 320, 31699, 4590, 2745, 263, 560, 520, 2524, 269, 4364, 1014, 5416, 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 ]
[ 0, 9223, 281, 6904, 7633, 941, 1031, 538, 519, 5478, 540, 519, 2484, 2251, 1446, 799, 941, 12816, 896, 21031, 32293, 454, 12585, 281, 1733, 1446, 14752, 454, 2704, 328, 1162, 281, 645, 1446, 523, 10824, 267, 1733, 1446, 14752, 267, 645, 1446, 523, 267, 1733, 1446, 14752, 524, 832, 564, 267, 1733, 1446, 781, 5642, 267, 1733, 2297, 5642, 267, 1733, 1446, 5642, 267, 645, 4150, 523, 267, 1733, 1446, 14752, 10775, 267, 645, 1446, 523, 6676 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 27387, 281, 16448, 531, 17438, 543, 14412, 692, 272, 269, 12361, 16448, 531, 17438, 543, 14412, 692, 22428, 3167, 1379, 568, 13859, 689, 1079, 4830, 2959, 799, 960, 609, 17831, 476, 271, 269, 275, 267, 476, 271, 269, 276, 267, 6606, 269, 952, 1312, 2959, 616, 3246, 1379, 2614, 1379, 786, 581, 2139, 609, 5506, 476, 272, 269, 952, 4010, 835, 519, 873, 1568, 972, 786, 581, 2614, 1379, 609, 5506, 476, 271, 269, 277, 269, 540, 1576, 267, 952, 9039, 540, 873, 1568, 519, 5506, 602, 972, 786, 581, 6190, 3761, 568, 476, 271, 780, 320, 264, 1018, 616, 519, 17831, 602, 4010, 737, 2959, 960, 585, 737, 284, 271, 267, 272, 267, 273, 888, 321, 264, 4818, 1393, 519, 5506, 602, 2614, 1379, 786, 581, 2139, 780, 273, 269, 589, 994, 288, 284, 12741, 2030, 589, 568, 4881, 563, 289, 815, 5295, 2030, 645, 568, 4881, 780, 7445, 6234, 623, 263, 298, 284, 271, 6661, 263, 272, 6261, 10490, 4297, 263, 272, 6261, 16360, 4297, 284, 630, 272, 268, 271, 269, 275, 7565, 272, 268, 271, 269, 276, 6661, 271, 269, 274, 6911, 7445, 6234, 623, 263, 298, 284, 272, 264, 815, 623, 10490, 7565, 272, 6261, 16360, 4297, 23444, 272, 6261, 10490, 4297, 303, 16360, 264, 11377, 6234, 815, 263, 271, 269, 275, 7565, 272, 268, 271, 269, 276, 11924, 263, 272, 268, 271, 269, 275, 7565, 271, 269, 276, 264, 815, 476, 271, 269, 273, 266, 271, 269, 274, 284, 271, 269, 276, 6911, 7445, 6234, 623, 263, 298, 284, 273, 264, 815, 623, 10490, 264, 303, 16360, 264, 815, 630, 271, 269, 275, 7565, 271, 269, 276, 6661, 271, 269, 273, 6911, 289, 2020, 7445, 6234, 661, 314, 311, 24557, 476, 272, 27456, 263, 298, 284, 273, 4297, 1341, 271, 269, 277, 27456, 263, 298, 284, 272, 4297, 1341, 271, 27456, 263, 298, 284, 271, 4297, 6911, 7445, 6234, 661, 314, 311, 24557, 272, 263, 271, 269, 273, 264, 1341, 271, 269, 277, 263, 271, 269, 276, 264, 1341, 271, 263, 271, 269, 274, 6661, 271, 269, 273, 266, 271, 269, 274, 284, 271, 269, 276, 259 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 15507, 513, 1297, 454, 23714, 25313, 815, 476, 14378, 278, 4281, 274, 454, 26015, 11847, 19948, 454, 16535, 1911, 1911, 9340, 9826, 8099, 18733, 272, 454, 24374, 18089, 22903, 22903, 272, 454, 25148, 22659, 271, 3953, 1724, 454, 276, 4097, 15836, 21854, 454, 29637, 25172, 28664, 454, 278, 2537, 5780, 273, 5655, 454, 24934, 9340, 277, 4097, 278, 454, 4817, 272, 6187, 273, 272, 454, 9818, 271, 2537, 1556, 454, 9340, 9032, 272, 5392, 454, 13199, 2918, 321, 5325, 454, 1724, 320, 6507, 320, 280, 454, 15704, 322, 28796, 454, 14028, 324, 8660, 272, 454, 28411, 5392, 576, 278, 692, 23714, 25313, 814, 476, 275, 16975, 630, 5408, 2630, 1070, 4171, 2040, 568, 21566, 815, 476, 17168, 12208, 269, 4706, 9103, 1304, 568, 26420, 815, 476, 29257, 24423, 780, 763, 3105, 6305, 568, 476, 23714, 26482, 269, 634, 1985, 6305, 568, 476, 23714, 28766, 269, 634, 30729, 540, 476, 23714, 25313, 568, 476, 13647, 10711, 780, 2005, 568, 513, 5033, 760, 31870, 1317, 621, 568, 519, 1587, 540, 1079, 22136, 267, 543, 849, 606, 900, 597, 335, 1307, 267, 2094, 922, 9258, 568, 513, 3982, 5033, 760, 31870, 281, 476, 13647, 10711, 815, 476, 12293, 4792, 280, 780, 2005, 568, 711, 513, 632, 2717, 793, 659, 1297, 267, 1317, 476, 23714, 25313, 910, 476, 1839, 815, 476, 23714, 29344, 568, 513, 6305, 780, 2005, 568, 513, 667, 4428, 15687, 1297, 780, 2005, 568, 513, 21412, 1297, 780, 2005, 568, 711, 606, 796, 18905, 762, 1297, 267, 1317, 621, 666, 581, 4957, 883, 513, 6305, 630, 23714, 28766, 264, 676, 4657, 513, 7857, 780, 2005, 568, 513, 829, 5371, 1190, 1297, 267, 1317, 922, 9352, 6041, 3568, 513, 6305, 1297, 630, 1556, 264, 540, 3283, 780, 2005, 568, 513, 30251, 1297, 267, 2094, 621, 666, 581, 2854, 538, 476, 274, 2081, 607, 513, 2040, 540, 15654, 562, 4405, 1023, 267, 585, 1383, 267, 476, 6434, 278, 276, 1341, 3267, 1341, 476, 279, 3445, 279, 780, 2005, 568, 606, 12980, 1297, 267, 1317, 519, 1611, 540, 922, 16975, 568, 606, 8870, 1297, 630, 8517, 2764, 6393, 15996, 23211, 272, 568, 606, 3284, 32565, 1297, 780, 23714, 25313, 568, 513, 28119, 1297, 267, 2094, 621, 568, 3677, 982, 519, 2040, 540, 922, 1697, 16975, 630, 9965, 4905, 6393, 23714, 25313, 568, 513, 3653, 995, 1297, 267, 2094, 621, 3096, 1447, 9704, 982, 922, 26458, 780, 23714, 25313, 568, 606, 5212, 1190, 1297, 267, 1317, 519, 2040, 540, 922, 9352, 9704, 568, 9642, 780, 763, 2040, 540, 922, 6305, 2188, 568, 476, 9965, 876, 780, 763, 1587, 540, 922, 630, 12061, 14706, 264, 9704, 568, 476, 1240, 267, 1247, 519, 2040, 568, 476, 1015, 780, 763, 4009, 3597, 540, 476, 23714, 25313, 568, 827, 476, 276, 5392, 269, 279, 2764, 15150, 280, 7761, 272, 269, 634, 12945, 3597, 540, 476, 23714, 25313, 568, 827, 476, 6858, 269, 14625, 4037, 272, 19740, 275, 780, 29002, 547, 476, 23714, 25313, 922, 9258, 630, 13647, 10711, 1070, 649, 1205, 513, 5493, 30308, 630, 25870, 276, 1691, 6393, 763, 10259, 540, 476, 23714, 25313, 538, 1913, 568, 834, 22764, 4627, 1079, 8536, 267, 1614, 4627, 22221, 2580, 543, 3976, 621, 568, 606, 16481, 534, 1297, 780, 19667, 30583, 281, 476, 272, 476, 1704, 476, 10082, 10695, 476, 23714, 25313 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2252, 707, 3817, 538, 2290, 9616, 616, 2407, 540, 4967, 267, 596, 666, 1711, 3063, 1603, 2230, 538, 519, 2451, 14345, 610, 538, 519, 1647, 540, 513, 2985, 563, 11900, 1068, 3063, 1603, 2230, 454, 12812, 23453, 3436, 23453, 6611, 563, 31161, 519, 10856, 547, 1858, 1141, 596, 1616, 547, 1039, 519, 2230, 454, 763, 10856, 24072, 786, 2490, 883, 606, 15561, 865, 596, 917, 799, 4287, 596, 666, 8749, 621, 563, 12812, 543, 8749, 519, 15561, 2394, 596, 4076, 2813, 519, 2230, 596, 991, 563, 31738, 281, 1403, 596, 1118, 513, 12161, 267, 2046, 595, 27530, 266, 313, 547, 3768, 334, 707, 2962, 267, 543, 2119, 1586, 563, 7230, 913, 3063, 1603, 2230, 454, 2252, 596, 4894, 1543, 689, 513, 2985, 267, 543, 596, 1616, 547, 4894, 519, 10145, 2230, 2813, 676, 519, 32280, 267, 596, 666, 3142, 519, 6967, 4063, 11149, 543, 3615, 593, 519, 2985, 6251, 1927, 563, 4002, 2985, 609, 1932, 1454, 2230, 267, 4945, 23453, 3436, 23453, 6611, 563, 31161, 519, 10856, 547, 519, 5377, 540, 519, 2230, 596, 1616, 547, 4894, 563, 763, 24072, 786, 2490, 883, 513, 5595, 21758, 15561, 563, 12812, 543, 8749, 519, 15561, 16057, 2394, 596, 4076, 6569, 607, 1454, 2230, 607, 596, 1616, 563, 31738, 281, 1403, 596, 1118, 513, 12161, 267, 2046, 595, 27530, 266, 313, 267, 543, 1287, 2119, 1586, 563, 1432, 798, 596, 1616, 547, 798, 888, 11754, 2230, 9170, 593, 513, 2985, 454, 1103, 707, 4967, 267, 4945, 1141, 596, 1616, 547, 7696, 3063, 1603, 610, 5373, 2230, 630, 1721, 1383, 267, 693, 519, 1439, 540, 513, 5037, 1916, 4002, 519, 23453, 10624, 267, 4945, 23448, 5675, 6611, 4586, 291, 4048, 519, 10856, 24072, 19794, 538, 519, 4287, 8612, 676, 519, 15561, 547, 1039, 607, 1454, 2230, 607, 596, 1616, 267, 543, 1287, 5305, 519, 10856, 7735, 563, 291, 4048, 547, 1039, 2230, 693, 519, 8728, 540, 519, 2985, 610, 1063, 3515, 540, 1257, 563, 11754, 2230, 693, 519, 1439, 540, 513, 2985, 454, 4002, 519, 1699, 2985, 267, 4945, 519, 2480, 2651, 13560, 676, 21009, 8525, 7735, 693, 519, 5377, 540, 519, 7299, 20801, 3046, 630, 604, 7298, 1040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 32637, 454, 21938, 476, 1556, 267, 476, 1001, 277, 692, 258, 14581, 6435, 281, 10803, 692, 16829, 676, 590, 826, 593, 13723, 267, 4989, 476, 736, 267, 476, 1001, 272, 693, 476, 275, 281, 736, 10975, 780, 26319, 540, 942, 538, 3764, 2838, 547, 2347, 5751, 568, 7856, 609, 513, 1611, 540, 476, 2568, 3764, 543, 513, 31901, 269, 11539, 540, 476, 279, 3764, 269, 1018, 2600, 786, 2154, 1063, 476, 2568, 543, 476, 10602, 3764, 547, 2347, 519, 5751, 286, 1018, 2600, 540, 5171, 786, 2154, 811, 982, 476, 7761, 3764, 547, 2347, 555, 5751, 286, 1018, 2600, 786, 2154, 1063, 476, 2004, 543, 476, 7761, 3764, 547, 2347, 519, 5751, 888, 1892, 10803, 910, 4569, 294, 15843, 267, 13723, 267, 4989, 476, 736, 267, 476, 1001, 272, 693, 476, 278, 281, 1839, 10975, 692, 8196, 1990, 1606, 13990, 543, 513, 1990, 2389, 762, 547, 1265, 707, 21159, 780, 4131, 781, 1413, 693, 519, 1360, 2063, 2243, 543, 1287, 1294, 952, 596, 666, 4137, 856, 519, 824, 1079, 2055, 780, 8340, 1079, 1990, 1606, 13990, 1210, 713, 4542, 912, 345, 815, 630, 343, 910, 1611, 8358, 338, 323, 692, 11743, 815, 476, 2568, 454, 338, 323, 815, 476, 279, 692, 343, 815, 476, 2004, 267, 476, 7761, 692, 11997, 912, 345, 815, 630, 2004, 910, 476, 2568, 8358, 279, 815, 15017, 345, 815, 630, 7761, 910, 476, 2568, 8358, 279, 815, 26042, 296, 3513, 1577, 596, 9096, 519, 9273, 780, 5629, 596, 723, 519, 1990, 1606, 13990, 267, 2638, 513, 1990, 2389, 762, 585, 519, 5506, 1063, 1346, 1079, 8464, 269, 4495, 596, 723, 602, 1871, 267, 6460, 547, 513, 2600, 780, 296, 4126, 713, 786, 948, 1205, 596, 3323, 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, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 31676, 554, 6359, 3855, 2496, 7692, 281, 3143, 267, 594, 10093, 1405, 269, 1548, 781, 602, 2496, 8334, 281, 4270, 267, 621, 781, 1175, 513, 1187, 1259, 547, 2911, 827, 24668, 543, 9644, 1644, 547, 4984, 267, 3226, 538, 13140, 269, 1809, 2221, 267, 1577, 781, 1445, 593, 1210, 1434, 10385, 543, 1455, 2631, 538, 938, 3232, 2729, 780, 7692, 281, 28514, 267, 602, 4992, 4277, 256, 2052, 596, 2285, 803, 930, 1806, 2496, 8334, 281, 17610, 256, 2913, 781, 2161, 707, 3659, 3091, 596, 513, 4235, 267, 855, 596, 917, 596, 4312, 1185, 2614, 2907, 269, 4634, 952, 789, 1832, 1202, 12371, 267, 621, 781, 1271, 547, 6432, 547, 707, 1560, 543, 1118, 513, 5100, 3375, 780, 7692, 281, 7937, 267, 594, 1205, 621, 269, 1924, 267, 621, 781, 827, 1373, 3743, 1256, 950, 2348, 1187, 267, 1318, 2496, 8334, 281, 22549, 256, 3767, 267, 4952, 596, 2811, 693, 513, 5428, 267, 543, 2576, 6645, 513, 24983, 602, 1522, 1055, 754, 1866, 1317, 540, 741, 3909, 4978, 269, 898, 781, 2629, 547, 1589, 1354, 4687, 971, 24668, 267, 607, 789, 1223, 10413, 2576, 781, 4606, 11032, 947, 3320, 780, 7692, 281, 2334, 2306, 2631, 269, 1284, 9327, 1405, 1616, 547, 13347, 4896, 17543, 269, 1215, 827, 713, 1107, 1018, 952, 649, 1294, 1945, 16168, 538, 5939, 286, 9701, 649, 14902, 856, 10978, 1282, 3028, 2496, 8334, 281, 630, 326, 24513, 956, 264, 3143, 267, 4440, 711, 269, 4634, 952, 1945, 16716, 721, 607, 993, 6748, 267, 621, 781, 1898, 547, 1397, 2463, 585, 519, 10723, 2230, 543, 824, 1004, 972, 269, 5502, 267, 6148, 2671, 519, 1650, 2663, 609, 2828, 267, 865, 3025, 666, 2972, 519, 9644, 1510, 23892, 1866, 780, 7692, 281, 23010, 267, 602, 4667, 4023, 269, 1635, 519, 1259, 267, 3884, 1405, 14420, 835, 540, 519, 9510, 10425, 538, 519, 1158, 286, 594, 3314, 2542, 12341, 13718, 8334, 281, 8786, 267, 8197, 256, 2142, 518, 814, 3833, 513, 1279, 1686, 267, 6580, 1394, 5215, 540, 1296, 269, 1717, 267, 1100, 2339, 922, 2085, 267, 2141, 3314, 547, 8532, 4568, 19100, 543, 2760, 936, 4777, 621, 269, 5871, 2631, 4422, 513, 1279, 1259, 538, 4180, 649, 3251, 2922, 543, 2635, 780, 7692, 281, 25999, 256, 8729, 585, 7713, 782, 713, 267, 7705, 269, 594, 1745, 899, 594, 1174, 1732, 1631, 875, 547, 946, 1250, 1455, 2631, 538, 1114, 3871, 1247, 1869, 11981, 1272, 543, 2348, 1187, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21918, 518, 6506, 267, 513, 1106, 540, 14973, 6965, 267, 723, 1044, 513, 2442, 1106, 540, 9913, 585, 5553, 267, 1419, 1336, 693, 16873, 543, 19771, 267, 2523, 1346, 5473, 4568, 269, 1452, 2110, 543, 18854, 1399, 18627, 616, 1419, 1031, 607, 547, 6814, 610, 6704, 3756, 267, 1818, 873, 513, 20013, 538, 6704, 2528, 269, 3371, 779, 3388, 596, 991, 547, 917, 827, 1929, 518, 6506, 543, 741, 1909, 538, 6704, 5389, 563, 2764, 7799, 518, 6506, 6168, 25530, 454, 272, 269, 4258, 619, 547, 519, 13957, 454, 1103, 513, 512, 11232, 333, 1141, 513, 548, 2095, 539, 899, 12535, 2676, 288, 812, 26927, 3139, 1010, 1034, 3304, 9317, 9909, 563, 4415, 1142, 533, 842, 646, 8910, 17869, 2676, 2108, 5194, 5180, 1934, 28461, 307, 650, 519, 1158, 729, 1175, 694, 4461, 543, 20832, 563, 273, 269, 634, 8585, 787, 30179, 518, 454, 2467, 2899, 729, 513, 1786, 4546, 689, 13573, 2676, 2662, 846, 2395, 941, 1034, 5789, 337, 1176, 6170, 563, 3891, 1786, 14954, 609, 971, 1166, 1515, 2676, 288, 956, 1769, 607, 519, 2011, 2676, 14367, 17869, 267, 711, 513, 2582, 1298, 6170, 563, 12441, 1411, 5700, 888, 6826, 518, 568, 835, 540, 519, 9510, 543, 1034, 4922, 10057, 23931, 10425, 538, 519, 1158, 269, 4706, 1686, 7389, 1394, 547, 693, 2547, 519, 476, 276, 628, 26992, 7460, 538, 9459, 269, 1677, 1451, 811, 827, 519, 4241, 1686, 540, 14420, 267, 596, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3891, 13273, 569, 670, 6359, 3855, 257, 607, 851, 540, 834, 295, 9331, 3036, 1315, 13445, 1315, 15215, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 942, 267, 5299, 7531, 5035, 589, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 942, 4732, 2748, 263, 274, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1104, 942, 692, 825, 521, 815, 942, 28333, 4590, 825, 513, 272, 815, 589, 4590, 825, 513, 273, 815, 589, 4590, 825, 513, 274, 815, 589, 4590, 825, 552, 815, 942, 28333, 4590, 825, 1820, 16216, 910, 521, 2020, 825, 521, 815, 942, 28333, 4590, 825, 536, 272, 815, 5299, 6983, 4878, 5416, 272, 994, 825, 536, 273, 815, 5299, 6983, 4878, 5416, 272, 994, 825, 536, 274, 815, 5299, 6983, 4878, 5416, 272, 994, 825, 552, 815, 942, 28333, 4590, 825, 1820, 16216, 910, 521, 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 ]
[ 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 4312, 1044, 2348, 8373, 4466, 707, 9162, 25015, 269, 5620, 596, 3893, 1932, 1082, 540, 873, 2496, 7692, 281, 23010, 267, 7705, 269, 594, 723, 865, 1082, 9162, 602, 594, 3006, 7340, 1141, 594, 2322, 873, 2439, 8334, 281, 4270, 267, 596, 917, 267, 950, 649, 723, 1932, 1454, 540, 1945, 267, 621, 666, 1118, 621, 2182, 585, 721, 547, 946, 610, 2972, 1346, 1919, 269, 901, 4523, 547, 6738, 13522, 1932, 267, 543, 621, 781, 1572, 11876, 8973, 780, 7692, 281, 1548, 781, 11876, 8973, 267, 7705, 2496, 8334, 281, 898, 781, 899, 950, 2576, 25173, 543, 8952, 1932, 1082, 1919, 267, 1256, 8631, 789, 1810, 1405, 2731, 991, 269, 1809, 11876, 8973, 3587, 513, 1966, 950, 621, 6238, 7133, 3232, 1272, 267, 1175, 899, 875, 596, 6560, 547, 1265, 707, 9162, 1631, 780, 7692, 281, 7937, 267, 594, 1294, 269, 1924, 267, 1946, 798, 1004, 11876, 731, 2496, 8334, 281, 1703, 616, 1114, 4128, 269, 6884, 267, 789, 1522, 1205, 7923, 547, 3688, 1317, 789, 7618, 873, 540, 6126, 8823, 269, 2107, 6148, 789, 5855, 602, 789, 786, 991, 519, 6221, 835, 1554, 267, 1256, 1498, 789, 4440, 4465, 1405, 269, 2368, 11570, 849, 4250, 18530, 1919, 2476, 1813, 547, 3653, 6888, 780, 7692, 281, 2334, 4992, 7294, 269, 1215, 666, 789, 3247, 1287, 2496, 8334, 281, 6153, 2243, 256, 3689, 267, 6158, 609, 2576, 789, 3972, 827, 741, 4606, 2509, 5329, 782, 1346, 1919, 2337, 269, 3973, 267, 789, 666, 2119, 18570, 998, 741, 28378, 1927, 267, 3787, 676, 3787, 267, 14045, 1018, 547, 1832, 267, 12235, 2476, 267, 610, 2285, 2476, 269, 14171, 1507, 3268, 2306, 519, 1184, 1447, 11566, 780, 7692, 281, 24439, 2631, 256, 2052, 649, 2119, 3257, 602, 609, 1250, 9162, 2496, 8334, 281, 25999, 256, 2913, 781, 4584, 513, 1906, 9162, 2221, 543, 6430, 799, 3283, 596, 1869, 1404, 609, 543, 2648, 269, 1284, 666, 4558, 873, 28426, 538, 707, 11442, 4216, 1247, 4259, 11735, 1866, 585, 1810, 908, 610, 9657, 269, 6496, 333, 1405, 602, 3280, 1732, 982, 19480, 936, 25985, 540, 16618, 9162, 2496, 7692, 281, 4347, 17802, 267, 7705, 256, 8729, 585, 4543, 803, 1174, 11876, 8973, 543, 3450, 803, 875, 547, 3616, 13616, 1250, 9162, 780, 8334, 281, 3143, 19048, 267, 7585, 256, 5457, 267, 621, 781, 1271, 547, 1589, 5402, 827, 1018, 649, 5963, 1871, 543, 991, 269, 1635, 1373, 13533, 540, 938, 22590, 267, 649, 1711, 2230, 585, 1007, 2833, 543, 8823, 1510, 3478, 16397, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 2985, 3947, 930, 5583, 593, 11876, 8973, 267, 543, 1018, 547, 798, 952, 596, 7237, 621, 269, 1403, 596, 2743, 2576, 945, 596, 1745, 568, 11876, 8973, 267, 610, 693, 1981, 540, 1793, 6235, 883, 11876, 1841, 267, 5225, 454, 268, 3367, 713, 2985, 1107, 547, 1451, 811, 827, 11876, 8973, 454, 268, 13185, 609, 519, 1268, 1107, 1265, 856, 811, 827, 873, 267, 741, 4128, 543, 1018, 568, 513, 1434, 1935, 585, 873, 454, 268, 5192, 948, 1107, 547, 5512, 519, 1268, 547, 1491, 3268, 609, 519, 1489, 789, 991, 269, 1411, 1810, 1406, 991, 547, 1745, 4805, 282, 972, 568, 948, 547, 10994, 621, 267, 543, 1004, 945, 666, 1489, 1312, 596, 543, 519, 1268, 538, 2243, 563, 299, 665, 958, 267, 649, 1616, 912, 268, 1677, 948, 1004, 1376, 593, 741, 13374, 856, 540, 11876, 8973, 563, 268, 1280, 519, 3460, 547, 581, 2318, 543, 1279, 18835, 563, 268, 1677, 948, 7649, 14540, 267, 2043, 543, 1920, 2818, 1265, 856, 875, 1655, 547, 1935, 11876, 8973, 563, 272, 269, 634, 2179, 540, 804, 13616, 454, 295, 334, 8973, 666, 581, 3989, 607, 519, 968, 1410, 947, 633, 4015, 543, 12802, 540, 1022, 1570, 547, 519, 1448, 602, 621, 15641, 525, 1554, 547, 1554, 8647, 892, 689, 29778, 1299, 24162, 267, 476, 1960, 274, 454, 2005, 568, 1898, 547, 1413, 693, 519, 4128, 799, 9114, 3297, 519, 3793, 537, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 23852, 29803, 1315, 3281, 14601, 10263, 1315, 14208, 8973, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 901, 568, 513, 3113, 1966, 563, 258, 3371, 594, 946, 667, 12396, 547, 4194, 713, 1966, 563, 258, 5384, 6988, 568, 744, 263, 347, 309, 347, 266, 347, 292, 347, 264, 543, 2230, 6988, 568, 744, 263, 347, 309, 347, 266, 347, 292, 347, 264, 1141, 966, 568, 1297, 540, 6030, 543, 661, 568, 519, 1297, 540, 29444, 780, 1345, 269, 13765, 815, 1496, 271, 585, 9041, 538, 2039, 16325, 290, 12973, 22708, 1345, 6155, 545, 815, 10070, 269, 29239, 18743, 17338, 994, 1721, 840, 538, 23944, 28987, 912, 825, 1582, 6155, 545, 314, 2181, 314, 271, 316, 4940, 6572, 263, 2181, 314, 272, 7481, 2745, 4311, 6155, 545, 994, 637, 815, 6936, 454, 1721, 1775, 538, 2039, 16325, 290, 12973, 2187, 825, 759, 815, 1582, 269, 4206, 338, 9217, 994, 825, 952, 759, 568, 711, 6936, 912, 1038, 2132, 8771, 454, 8873, 6936, 19638, 3698, 546, 12028, 4311, 22698, 6847, 2187, 825, 952, 1582, 269, 13765, 314, 322, 6847, 316, 2652, 910, 272, 912, 1038, 2132, 8771, 454, 825, 8640, 1582, 269, 13765, 314, 322, 6847, 316, 2652, 476, 272, 912, 1038, 2132, 6936, 454, 825, 1582, 269, 13765, 314, 322, 6847, 316, 815, 910, 272, 454, 825, 5903, 815, 1582, 6155, 545, 314, 322, 6847, 2639, 825, 759, 815, 11713, 825, 1247, 5903, 912, 1038, 840, 815, 5903, 21014, 4590, 1038, 759, 6910, 4311, 269, 4206, 338, 263, 2181, 4917, 825, 1582, 269, 13765, 314, 322, 6847, 316, 815, 476, 272, 454, 825, 952, 759, 2652, 1496, 14158, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 782, 263, 637, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 303, 665, 338, 698, 568, 2110, 585, 5403, 8433, 9208, 5314, 27545, 6828, 543, 568, 513, 533, 4526, 2029, 563, 303, 6162, 585, 1346, 540, 596, 602, 1810, 1406, 917, 267, 616, 12926, 835, 17574, 2792, 3457, 267, 585, 8391, 25887, 610, 2110, 1257, 6835, 563, 2662, 12241, 5985, 630, 3250, 264, 11436, 723, 1500, 533, 6162, 513, 2603, 1447, 2442, 267, 789, 616, 1869, 1031, 563, 23777, 673, 1699, 3755, 616, 10506, 267, 3354, 15372, 1949, 267, 543, 3595, 2533, 563, 763, 5413, 540, 1210, 513, 623, 665, 338, 698, 533, 4526, 2864, 982, 513, 5985, 6049, 568, 5365, 3795, 563, 303, 6162, 946, 513, 3126, 540, 1164, 13324, 10141, 1562, 547, 10141, 519, 5925, 6786, 267, 799, 4163, 519, 5048, 1239, 563, 4322, 1164, 13324, 10141, 1562, 723, 513, 2647, 3795, 1858, 267, 543, 666, 1419, 3914, 2127, 711, 6039, 676, 6325, 5985, 6049, 3795, 563, 763, 11393, 2705, 616, 1344, 3354, 563, 22033, 666, 3362, 581, 18448, 539, 676, 1210, 5266, 10464, 3937, 267, 543, 1863, 29852, 3301, 267, 2139, 2228, 563, 8601, 713, 3668, 540, 1344, 3354, 267, 623, 665, 338, 698, 1759, 533, 6162, 616, 1869, 1373, 1031, 676, 14540, 971, 607, 519, 23244, 630, 13233, 2657, 6796, 267, 538, 519, 5177, 1916, 24309, 676, 30621, 30683 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2961, 4471, 1031, 519, 9241, 11751, 26025, 855, 711, 4793, 878, 807, 1317, 9041, 17329, 519, 24036, 8137, 563, 271, 269, 2961, 4471, 454, 272, 269, 4793, 878, 807, 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, 1 ]
[ 0, 258, 1319, 961, 629, 9103, 566, 5119, 692, 272, 267, 4335, 533, 1206, 13752, 692, 288, 15585, 566, 5119, 568, 2016, 676, 1384, 305, 263, 9064, 6661, 314, 6523, 263, 9064, 1070, 910, 7562, 263, 9064, 5148, 5609, 263, 9064, 264, 5430, 263, 9064, 264, 6540, 320, 269, 8058, 602, 630, 305, 263, 9064, 4297, 28260, 272, 284, 305, 8987, 9064, 264, 585, 1022, 5086, 540, 10047, 630, 9064, 2020, 321, 269, 589, 1133, 3202, 19336, 568, 513, 5119, 267, 799, 25389, 772, 28260, 272, 284, 308, 317, 307, 8058, 267, 1210, 519, 1267, 540, 630, 320, 1070, 602, 519, 15585, 566, 19336, 568, 513, 1133, 3202, 19336, 692, 322, 269, 1403, 649, 1685, 1079, 32186, 681, 263, 9064, 272, 264, 543, 681, 263, 9064, 273, 264, 1397, 602, 519, 1931, 538, 799, 649, 1685, 519, 32186, 568, 13061, 269, 769, 824, 1913, 267, 10047, 14290, 616, 862, 32477, 780, 323, 269, 4635, 681, 263, 9064, 272, 1341, 23940, 273, 264, 815, 681, 263, 9064, 272, 264, 305, 263, 9064, 273, 2020, 324, 269, 5136, 1555, 519, 1840, 4542, 585, 519, 20534, 543, 25482, 3252, 281, 5430, 263, 9064, 272, 1341, 23940, 273, 264, 261, 5609, 263, 9064, 272, 1341, 23940, 273, 2020, 325, 269, 1403, 519, 1950, 1297, 1990, 273, 1310, 513, 10047, 540, 815, 14039, 270, 277, 568, 3230, 273, 268, 273, 328, 25490, 346, 274, 6525, 1547, 12433, 519, 1950, 1297, 1990, 272, 1354, 519, 10047, 269, 670, 842, 281, 1990, 273, 284, 305, 263, 9064, 12684, 345, 272, 780, 1892, 589, 15585, 566, 5119, 568, 2016, 676, 1384, 305, 263, 9064, 6661, 314, 6523, 263, 9064, 1070, 910, 7562, 263, 9064, 5148, 5609, 263, 9064, 264, 5430, 263, 9064, 264, 6540, 320, 269, 8058, 602, 630, 305, 263, 9064, 4297, 28260, 272, 284, 305, 8987, 9064, 264, 585, 1022, 5086, 540, 10047, 630, 9064, 2020, 321, 269, 589, 1133, 3202, 19336, 568, 513, 5119, 267, 799, 25389, 772, 28260, 272, 284, 308, 317, 307, 1109, 17004, 267, 1210, 519, 1267, 540, 630, 320, 1070, 602, 519, 15585, 566, 19336, 568, 513, 1133, 3202, 19336, 692, 322, 269, 1403, 649, 1685, 1079, 32186, 681, 263, 9064, 272, 264, 30548, 681, 263, 9064, 273, 264, 1109, 1397, 602, 519, 1931, 538, 799, 649, 1685, 519, 32186, 568, 13061, 269, 769, 824, 1913, 267, 10047, 14290, 616, 862, 32477, 780, 323, 269, 4635, 681, 263, 9064, 272, 1341, 23940, 273, 264, 815, 681, 263, 9064, 272, 264, 305, 263, 9064, 273, 2020, 324, 269, 5136, 1555, 519, 1840, 4542, 585, 519, 20534, 543, 25482, 3252, 281, 5430, 263, 9064, 272, 1341, 23940, 273, 264, 261, 5609, 263, 9064, 272, 1341, 23940, 273, 2020, 325, 269, 1403, 519, 1950, 1297, 1990, 273, 1310, 513, 10047, 540, 815, 14039, 270, 277, 568, 3230, 273, 268, 273, 328, 25490, 346, 274, 6525, 476, 1741, 1547, 12433, 519, 1950, 1297, 1990, 272, 1354, 519, 10047, 269, 670, 842, 281, 1990, 273, 284, 305, 263, 9064, 12684, 345, 272, 780, 2162, 7348, 713, 3070, 1862, 2119, 4258, 1375, 5530, 692, 16966, 713, 3070, 543, 6634, 811, 267, 7132, 2307, 938, 4966, 2243, 476, 2190, 270, 278, 692, 19400, 5734, 7641, 2982, 609, 17676, 585, 476, 273, 3275, 950, 596, 1129, 909, 585, 938, 5993, 20478, 563, 300, 20047, 1222, 786, 8850, 3136, 267, 855, 596, 666, 22599, 693, 1022, 942, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13696, 310, 2919, 513, 2706, 31933, 5198, 1286, 602, 8255, 4625, 593, 5277, 7250, 269, 7201, 519, 26372, 568, 513, 476, 277, 269, 271, 2000, 3438, 267, 966, 268, 1321, 267, 476, 22446, 554, 335, 7250, 14617, 2599, 269, 901, 5594, 9168, 3154, 2599, 666, 4412, 601, 519, 1286, 547, 476, 6942, 18890, 269, 25756, 814, 513, 1906, 5383, 936, 3154, 563, 272, 269, 25756, 568, 1360, 10731, 454, 273, 269, 25756, 17236, 2973, 267, 950, 621, 17236, 621, 568, 10905, 609, 5135, 547, 3132, 670, 736, 610, 1216, 267, 713, 1216, 666, 581, 32419, 547, 1118, 7250, 1586, 563, 274, 269, 25756, 22179, 1447, 982, 3154, 543, 7472, 811, 1379, 563, 275, 269, 25756, 17236, 5488, 543, 16830, 982, 3154, 563, 763, 22720, 310, 670, 273, 305, 1305, 476, 280, 3486, 3432, 5638, 454, 1103, 3210, 547, 21013, 781, 2243, 538, 12558, 476, 278, 7176, 267, 543, 6148, 9494, 631, 14709, 513, 2370, 1382, 960, 630, 296, 7058, 1250, 4757, 2063, 11016, 4769, 1405, 1205, 998, 1070, 972, 2965, 568, 1382, 1373, 2944, 593, 4881, 4835, 13674, 9817, 593, 7250, 3154, 269, 4340, 547, 519, 5767, 1382, 267, 971, 606, 2599, 666, 581, 607, 3608, 607, 519, 1655, 17088, 9817, 269, 898, 781, 849, 2219, 602, 513, 10316, 1286, 609, 513, 7250, 14617, 15096, 2599, 1131, 723, 519, 1482, 13304, 720, 607, 513, 7250, 4492, 1591, 1286, 267, 855, 693, 513, 6824, 540, 519, 1942, 630, 5408, 5291, 2517, 4178, 269, 29582, 14492, 28898, 4882, 7220, 270, 14895, 270, 1220, 279, 270, 6187, 270, 1626, 270, 25375, 31874, 279, 21867, 12467, 2467, 941, 849, 1896, 4574, 4843, 593, 13936, 543, 1210, 7250, 538, 15096, 9817, 693, 519, 2487, 476, 1704, 628, 2622, 25756, 6052, 10985, 269, 2986, 1576, 267, 519, 1966, 540, 9108, 13936, 7250, 538, 513, 1286, 585, 946, 538, 606, 15096, 2599, 568, 4010, 519, 1482, 1966, 607, 13936, 7250, 585, 946, 538, 513, 4492, 1591, 1286, 269, 6423, 5291, 2517, 4178, 9884, 515, 322, 1220, 279, 2593 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2108, 289, 650, 3337, 568, 5732, 2731, 1271, 538, 519, 1646, 540, 6177, 2249, 2223, 1767, 7338, 269, 968, 2171, 1616, 547, 2232, 602, 2856, 585, 782, 5017, 1848, 476, 274, 5937, 18767, 1683, 811, 1344, 827, 22441, 267, 31393, 267, 543, 2027, 2934, 982, 2757, 7403, 267, 855, 621, 779, 942, 10438, 269, 3571, 2319, 814, 1044, 17655, 6177, 581, 6545, 1336, 538, 10070, 693, 2067, 1686, 15882, 1472, 519, 1158, 585, 3592, 513, 1032, 543, 814, 1085, 10165, 519, 12014, 540, 827, 476, 275, 267, 4335, 2249, 269, 1358, 2503, 547, 6108, 693, 2547, 1776, 1032, 17655, 269, 4495, 789, 616, 2944, 267, 519, 18767, 1869, 991, 547, 723, 3425, 547, 5265, 1665, 873, 585, 519, 2780, 2079, 602, 786, 22945, 741, 3337, 269, 1403, 519, 2319, 729, 593, 741, 1378, 267, 621, 1131, 1491, 873, 1296, 547, 1205, 998, 519, 18061, 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 ]
[ 0, 11947, 3427, 8212, 1341, 811, 692, 258, 31592, 1759, 593, 519, 21252, 540, 513, 3002, 2599, 1107, 12193, 692, 4131, 779, 4194, 513, 5697, 31592, 1966, 1759, 593, 519, 21252, 540, 513, 3002, 2599, 780, 13528, 3121, 13242, 692, 292, 11797, 568, 3989, 607, 519, 5223, 540, 519, 2121, 960, 2944, 676, 519, 2599, 547, 519, 2179, 540, 3002, 602, 1590, 581, 13859, 547, 9585, 713, 960, 563, 292, 11797, 16754, 281, 552, 815, 654, 270, 304, 295, 454, 3602, 552, 568, 519, 4398, 267, 654, 568, 519, 2121, 960, 2944, 676, 519, 2599, 267, 543, 1627, 295, 568, 519, 7274, 540, 3002, 3144, 538, 676, 519, 2599, 780, 301, 10179, 673, 1966, 593, 3002, 2599, 4398, 692, 9223, 476, 272, 316, 589, 3002, 2599, 3217, 538, 476, 6344, 271, 808, 540, 3002, 689, 519, 1164, 27529, 3002, 2707, 538, 1142, 4783, 543, 1281, 476, 6110, 808, 540, 960, 538, 1142, 4783, 563, 320, 269, 1548, 568, 519, 4398, 540, 713, 2599, 888, 321, 269, 1215, 1454, 3002, 568, 5950, 883, 519, 1604, 538, 1142, 4783, 2496, 11405, 1384, 320, 264, 1627, 295, 815, 476, 6344, 271, 808, 454, 310, 815, 476, 6110, 808, 454, 324, 815, 26042, 324, 815, 654, 270, 304, 295, 815, 476, 6110, 270, 6344, 271, 815, 476, 272, 270, 274, 815, 476, 271, 269, 3451, 815, 476, 3451, 4939, 692, 321, 264, 1627, 322, 815, 1627, 295, 1107, 654, 454, 27784, 304, 322, 815, 476, 6344, 271, 1107, 476, 6110, 808, 815, 476, 8517, 808, 692, 293, 9711, 1384, 28959, 568, 3144, 538, 693, 1164, 5210, 267, 8946, 269, 2368, 3002, 568, 10736, 547, 960, 267, 543, 519, 14230, 568, 5950, 693, 513, 2539, 2837, 267, 570, 290, 780, 8450, 849, 1109, 9980, 16552, 607, 17438, 910, 1034, 4524, 1533, 568, 519, 1034, 21483, 835, 454, 9928, 2651, 547, 1283, 454, 19587, 281, 6323, 30108, 23357 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26177, 306, 281, 476, 2190, 623, 8980, 2464, 281, 476, 277, 29640, 9680, 12088, 281, 4317, 7070, 18161, 4306, 3633, 10396, 281, 476, 276, 270, 2420, 270, 1001, 271, 454, 13434, 745, 1746, 543, 30070, 547, 11694, 9441, 7607, 568, 513, 4122, 6956, 2460, 540, 875, 4213, 1589, 827, 5009, 4763, 267, 855, 5051, 3549, 849, 1174, 519, 2956, 540, 4763, 585, 6455, 543, 6725, 267, 1981, 543, 10639, 2359, 543, 824, 20019, 15129, 1870, 2773, 3800, 269, 272, 1280, 1383, 267, 9652, 1299, 9652, 4025, 9645, 8561, 593, 4008, 1317, 513, 5354, 540, 6800, 1818, 9140, 3664, 616, 2021, 269, 24117, 568, 2147, 693, 3750, 13282, 2472, 9649, 645, 9476, 577, 543, 700, 4861, 267, 1141, 2344, 1382, 2982, 602, 2021, 1118, 476, 5952, 2600, 540, 7622, 3664, 1644, 547, 3782, 269, 22126, 781, 2490, 268, 19925, 5182, 267, 7200, 15168, 560, 1676, 267, 15109, 4763, 513, 2344, 2861, 3390, 527, 781, 827, 1620, 938, 6990, 799, 616, 3309, 543, 18371, 269, 1935, 26857, 5377, 11060, 2164, 267, 4543, 22126, 23309, 6990, 13856, 676, 18371, 543, 4775, 5561, 269, 274, 6271, 1870, 2013, 585, 4763, 3564, 13781, 7607, 267, 3395, 6455, 543, 6075, 9547, 568, 519, 9283, 621, 666, 1118, 547, 5876, 543, 8112, 538, 10721, 3157, 543, 1732, 1966, 6061, 269, 2856, 568, 602, 513, 3309, 13781, 7472, 5499, 2093, 267, 21040, 2565, 2079, 267, 543, 11729, 3309, 267, 2362, 2298, 3664, 563, 2026, 5824, 1977, 2021, 18214, 519, 9746, 21117, 267, 519, 21571, 454, 303, 1137, 547, 616, 6456, 585, 454, 257, 290, 3036, 303, 3036, 12442, 5442, 12710, 4785, 12778, 257, 8923, 4647, 547, 2070, 2407, 3561 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12867, 693, 519, 2160, 540, 16713, 3427, 540, 6925, 723, 4767, 513, 14583, 540, 513, 2566, 25259, 5444, 543, 4598, 547, 2566, 1282, 6379, 1851, 1079, 2516, 540, 11299, 540, 1453, 609, 10295, 563, 763, 1560, 543, 2247, 4276, 1797, 602, 649, 946, 938, 4555, 547, 3310, 543, 2087, 938, 1560, 779, 2168, 2783, 563, 1103, 1455, 1913, 968, 16269, 5397, 721, 10808, 892, 610, 968, 25585, 616, 891, 1004, 1373, 865, 2352, 9495, 1548, 4010, 568, 7099, 344, 888, 8253, 782, 2395, 616, 1482, 269, 6884, 693, 1753, 267, 3006, 693, 960, 610, 2852, 610, 538, 1857, 835, 1223, 581, 9937, 539, 610, 14129, 563, 15447, 827, 1284, 305, 19328, 454, 268, 5489, 17475, 1198, 540, 6772, 8504, 4775, 9845, 262, 9422, 2115, 454, 268, 25667, 11250, 909, 519, 1376, 540, 23648, 538, 8695, 454, 268, 15766, 1049, 8377, 3075, 267, 3404, 12682, 665, 514, 267, 4617, 839, 2634, 781, 8007, 6786, 585, 1426, 454, 268, 1520, 760, 846, 9449, 949, 1404, 1909, 538, 8377, 5829, 10447, 454, 268, 11906, 338, 538, 7622, 7452, 949, 3895, 3170, 1591, 1646, 454, 268, 634, 10020, 26102, 268, 274, 15310, 1399, 3600, 1749, 7591, 538, 23046, 19270, 21631 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16534, 585, 1535, 2433, 5609, 275, 343, 1606, 514, 273, 343, 284, 271, 692, 326, 1640, 326, 10005, 3192, 277, 1923, 9906, 692, 2690, 267, 519, 4098, 267, 649, 3513, 2769, 5609, 476, 275, 343, 815, 5609, 476, 273, 16732, 273, 343, 2020, 3719, 267, 519, 4542, 585, 519, 5595, 5086, 5609, 476, 273, 320, 815, 476, 273, 338, 2088, 265, 322, 6242, 780, 2171, 3513, 513, 2952, 519, 4542, 547, 5609, 476, 273, 16732, 273, 343, 17107, 7562, 476, 273, 16732, 273, 343, 264, 815, 476, 273, 5609, 476, 273, 343, 265, 5430, 476, 273, 343, 630, 272, 2020, 3086, 267, 649, 3513, 556, 2914, 1679, 519, 3830, 267, 2655, 23082, 5609, 476, 275, 343, 676, 519, 4542, 630, 272, 17107, 7562, 476, 275, 343, 910, 5609, 476, 273, 343, 815, 476, 271, 692, 273, 5609, 476, 273, 343, 265, 5430, 476, 273, 343, 910, 5609, 476, 273, 343, 815, 476, 271, 692, 2171, 3513, 3815, 1125, 676, 5609, 476, 273, 343, 1384, 7562, 476, 273, 343, 16732, 273, 6523, 476, 273, 343, 910, 476, 272, 264, 815, 476, 271, 692, 2171, 3513, 1305, 1142, 3815, 607, 476, 271, 1384, 7562, 476, 273, 343, 815, 476, 271, 692, 273, 343, 815, 1341, 25773, 2117, 7562, 476, 271, 692, 273, 343, 815, 476, 271, 692, 343, 815, 476, 271, 692, 2171, 3513, 1305, 476, 273, 6523, 476, 273, 343, 910, 476, 272, 1109, 553, 476, 271, 1384, 273, 6523, 476, 273, 343, 910, 476, 272, 815, 476, 271, 692, 2171, 3513, 1109, 5417, 476, 272, 1312, 5011, 1384, 273, 6523, 476, 273, 343, 815, 476, 272, 692, 2171, 3513, 7941, 676, 476, 273, 1384, 6523, 476, 273, 343, 815, 476, 272, 270, 273, 692, 273, 343, 815, 1341, 25773, 818, 764, 657, 630, 272, 270, 273, 2020, 273, 343, 815, 1341, 25773, 630, 7032, 270, 274, 2020, 2171, 3513, 7941, 676, 476, 273, 1384, 343, 815, 1341, 25773, 14039, 270, 277, 692, 763, 3070, 910, 7032, 270, 277, 1223, 581, 6829, 607, 1535, 815, 476, 273, 7032, 910, 14039, 270, 277, 692, 343, 815, 476, 1556, 7032, 270, 277, 692, 763, 3435, 540, 519, 3830, 267, 936, 519, 8884, 1496, 271, 267, 273, 7032, 3910, 616, 1384, 346, 271, 6902, 14039, 270, 277, 267, 476, 1556, 7032, 270, 277, 348, 780, 928, 11253, 1923, 9906, 692, 2414, 4194, 585, 1535, 1109, 269, 5609, 275, 343, 910, 7562, 273, 343, 815, 476, 271, 780, 2414, 4194, 519, 3830, 649, 946, 5609, 273, 288, 815, 476, 273, 7562, 288, 6523, 288, 780, 11997, 2073, 1109, 5609, 275, 343, 815, 5609, 273, 263, 273, 343, 264, 815, 476, 273, 7562, 273, 343, 265, 6523, 273, 343, 780, 3383, 649, 12990, 5609, 275, 343, 815, 476, 273, 7562, 273, 343, 5430, 273, 343, 476, 280, 333, 519, 2016, 3830, 1384, 273, 7562, 273, 343, 265, 6523, 273, 343, 910, 5609, 273, 343, 815, 476, 271, 692, 7562, 273, 343, 16732, 273, 6523, 273, 343, 910, 272, 264, 815, 476, 271, 5541, 27401, 263, 272, 6393, 26139, 1109, 649, 1109, 12990, 5430, 273, 343, 815, 476, 272, 24179, 273, 7562, 343, 8203, 273, 543, 5609, 273, 343, 815, 476, 273, 7562, 343, 6523, 343, 593, 630, 272, 17107, 273, 7562, 343, 265, 6523, 343, 2715, 273, 263, 272, 268, 273, 4433, 514, 343, 8203, 273, 264, 910, 272, 348, 815, 476, 271, 692, 273, 5609, 343, 265, 6523, 343, 346, 272, 910, 476, 275, 4433, 514, 343, 8203, 273, 348, 815, 476, 271, 692, 292, 12930, 1142, 1109, 1875, 6746, 13519, 531, 2188, 547, 4642, 1384, 7562, 343, 815, 476, 271, 267, 5430, 343, 815, 476, 271, 2073, 476, 272, 268, 275, 4433, 514, 343, 8203, 273, 815, 476, 271, 692, 3383, 5609, 1535, 815, 476, 271, 3947, 281, 1535, 284, 476, 271, 610, 14039, 692, 6523, 343, 815, 476, 271, 3947, 1535, 815, 14039, 270, 273, 610, 476, 274, 7032, 270, 273, 692, 272, 268, 275, 4433, 514, 343, 8203, 273, 815, 3947, 281, 5609, 343, 815, 476, 272, 610, 815, 268, 272, 269, 1924, 1535, 815, 14039, 270, 275, 267, 476, 274, 7032, 270, 275, 2073, 476, 276, 7032, 270, 275, 610, 476, 278, 7032, 270, 275, 692, 2162, 7457, 7366, 540, 5215, 540, 4267, 609, 513, 1863, 4693, 780, 16485, 513, 7726, 454, 28082, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10907, 5120, 566, 609, 966, 26662, 454, 2421, 12253, 1744, 858, 2006, 780, 20779, 2970, 566, 540, 519, 9238, 540, 5163, 609, 6152, 563, 288, 834, 300, 1478, 257, 1843, 8637, 4087, 267, 6991, 267, 543, 10231, 607, 10321, 634, 454, 332, 10056, 568, 6417, 676, 7133, 519, 10231, 630, 514, 713, 2013, 2509, 519, 454, 332, 1787, 994, 2690, 811, 1806, 540, 1138, 6819, 5163, 543, 6323, 609, 10321, 267, 1294, 454, 8245, 3634, 270, 2690, 806, 4415, 309, 26662, 267, 3244, 3634, 27798, 9545, 527, 1049, 16920, 3555, 274, 291, 454, 12163, 5228, 544, 1478, 1104, 631, 1478, 7531, 3698, 14764, 10031, 825, 2518, 544, 1478, 454, 825, 2450, 263, 25953, 267, 476, 11740, 994, 825, 544, 1478, 815, 631, 1478, 30800, 3698, 2721, 10031, 825, 4282, 263, 271, 994, 825, 1948, 22352, 519, 4087, 454, 825, 544, 1478, 269, 26303, 4590, 825, 1948, 18224, 519, 631, 1478, 454, 825, 544, 1478, 269, 5891, 4590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8080, 547, 938, 21777, 3296, 540, 5530, 589, 1749, 910, 782, 827, 519, 20389, 256, 4653, 649, 2811, 2469, 547, 1445, 593, 1945, 1572, 834, 9223, 9537, 1701, 1411, 1522, 581, 11842, 267, 834, 3963, 798, 594, 991, 547, 1451, 827, 2243, 2010, 1354, 1256, 2921, 519, 20389, 8119, 4279, 2243, 256, 4197, 891, 1114, 5686, 540, 2055, 786, 948, 596, 1745, 811, 8746, 950, 21365, 1346, 16602, 2042, 593, 981, 1554, 269, 5213, 1405, 5855, 282, 649, 4465, 1405, 946, 1022, 2462, 1913, 610, 14845, 2474, 1934, 269, 5502, 267, 1577, 781, 4685, 883, 930, 1187, 1806, 1927, 2439, 5331, 596, 723, 1044, 4280, 547, 4194, 713, 1966, 912, 263, 274, 1535, 476, 276, 264, 1341, 630, 273, 1535, 476, 275, 264, 815, 15017, 2414, 2626, 7157, 267, 596, 1101, 1246, 519, 1931, 540, 4238, 630, 10193, 1634, 607, 623, 4932, 291, 3008, 2567, 9977, 12330, 267, 5890, 7859, 267, 18527, 543, 10406, 630, 5228, 2451, 547, 1318, 1070, 18827, 543, 25513, 630, 5228, 2451, 547, 1318, 1040, 1924, 267, 596, 1131, 5173, 912, 1428, 1341, 476, 279, 815, 476, 2537, 454, 292, 6470, 890, 6470, 267, 1318, 286, 2334, 729, 606, 1383, 540, 606, 12980, 4082, 2243, 1826, 1141, 596, 1185, 547, 1685, 9273, 1759, 593, 2016, 2418, 269, 3767, 267, 1577, 781, 1413, 693, 1776, 2186, 540, 2243, 1826, 1107, 2262, 2042, 2336, 2252, 8861, 1207, 903, 476, 278, 22796, 585, 1269, 271, 269, 1015, 1142, 543, 4991, 873, 585, 1863, 952, 1352, 849, 16306, 513, 21641, 585, 1269, 273, 269, 4200, 267, 875, 1454, 1281, 1352, 6108, 538, 2698, 888, 2080, 267, 3079, 540, 1175, 3257, 2979, 609, 2338, 267, 596, 1590, 1174, 1018, 519, 1913, 616, 10213, 596, 543, 1287, 4019, 519, 1482, 1983, 607, 1354, 912, 259, 271, 269, 1015, 6398, 476, 278, 815, 1269, 271, 269, 3583, 630, 5155, 4290, 1942, 994, 266, 1269, 273, 269, 4200, 630, 16694, 1504, 1942, 264, 815, 1269, 274, 269, 7597, 630, 20135, 1942, 994, 1103, 519, 4890, 20389, 267, 972, 786, 581, 1896, 2243, 2010, 899, 2542, 8223, 267, 4845, 1264, 339, 687, 267, 2565, 7744, 267, 543, 6128, 269, 1284, 3513, 2263, 891, 2417, 4166, 2614, 269, 1809, 3314, 267, 2259, 2306, 3501, 256, 8347, 6061, 1585, 3732, 2055, 1210, 891, 2994, 865, 2484, 269, 901, 1259, 267, 950, 621, 2501, 942, 547, 1491, 519, 1483, 20389, 267, 596, 3513, 917, 4010, 1018, 547, 2503, 543, 13743, 998, 12347, 269, 8414, 4974, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1692, 2182, 568, 519, 24321, 888, 6701, 596, 3206, 827, 13197, 2362, 2069, 888, 5278, 22825, 2503, 610, 2154, 4359, 5232, 267, 1247, 1866, 4324, 689, 3606, 2866, 543, 2069, 563, 24836, 9958, 2090, 666, 581, 513, 1390, 1259, 547, 2333, 707, 3318, 1702, 543, 6791, 563, 3719, 1018, 4010, 568, 2877, 547, 1376, 513, 10927, 1982, 286, 1280, 1034, 3506, 267, 621, 568, 11744, 513, 3490, 1377, 540, 1702, 593, 519, 23958, 16680, 22410, 267, 610, 24321, 563, 1432, 568, 519, 24321, 888, 763, 24321, 568, 513, 13387, 13675, 1449, 1031, 676, 10927, 3506, 547, 15378, 606, 32358, 779, 2702, 547, 581, 3811, 538, 741, 1982, 563, 763, 1449, 568, 2919, 543, 13950, 676, 519, 1875, 17416, 12409, 13281, 6796, 267, 661, 4811, 563, 2690, 811, 982, 476, 2568, 1296, 267, 661, 4811, 814, 3177, 10526, 538, 519, 2127, 540, 2362, 2069, 267, 4116, 6132, 839, 675, 267, 2296, 607, 513, 2034, 1893, 267, 543, 1866, 563, 14071, 11441, 547, 1683, 5499, 543, 6209, 6482, 3435, 602, 2087, 3450, 543, 1565, 267, 4228, 3872, 3255, 267, 543, 1217, 3609, 2223, 3081, 661, 4811, 563, 2662, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 2969, 7726, 9537, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 20389, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5327, 32606, 1272, 543, 2528, 540, 519, 25069, 322, 12075, 945, 5030, 538, 6792, 1354, 519, 5053, 9518, 626, 611, 832, 8452, 563, 257, 27675, 18462, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 22706, 476, 276, 268, 279, 1700, 30022, 543, 13181, 7650, 338, 267, 1519, 519, 8129, 267, 19824, 267, 6608, 267, 535, 1662, 687, 267, 543, 23543, 540, 891, 3504, 12977, 269, 3962, 1888, 568, 5941, 593, 513, 3262, 602, 2882, 10477, 12383, 267, 11147, 267, 543, 513, 18512, 2239, 602, 786, 3180, 3988, 3007, 269, 25069, 322, 3091, 10530, 689, 9954, 543, 2161, 902, 267, 607, 1134, 607, 1082, 3140, 3877, 267, 547, 4766, 1312, 519, 5898, 543, 519, 678, 3578, 1652, 543, 3046, 8663, 545, 3344, 540, 891, 1004, 269, 7111, 1977, 11414, 3988, 930, 540, 519, 1129, 1893, 2919, 607, 513, 1797, 547, 5968, 1851, 519, 1082, 11031, 543, 6257, 1585, 11031, 9821, 543, 2081, 540, 1272, 269, 5549, 320, 2982, 519, 3919, 543, 11141, 6189, 540, 713, 10340, 269, 8479, 518, 1053, 786, 1265, 891, 2835, 3730, 585, 5359, 267, 1247, 1346, 538, 2362, 9344, 666, 946, 873, 607, 513, 4358, 1448, 585, 741, 1382, 269, 1700, 299, 3570, 30683, 267, 667, 1075, 1127, 928, 9142, 267, 20279, 267, 29255, 454, 15648, 9736, 32149, 6355, 6176, 267, 513, 6498, 540, 32149, 29021, 5549, 269, 2353, 2924, 11603, 563, 257, 10666, 713, 2140, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 9349, 13517, 590, 18150, 3724, 12409, 14539, 267, 5549, 269, 623, 4338, 2207, 289, 19272, 269, 3883, 16448, 281, 1715, 269, 476, 14689, 3445, 276, 30588, 272, 1715, 16448, 269, 3883, 31805, 22802, 1948, 21832, 278, 269, 13679, 278, 5655, 279 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13480, 1504, 910, 5053, 454, 25332, 322, 2940, 1913, 596, 949, 1616, 547, 917, 607, 547, 950, 789, 616, 1767, 547, 596, 538, 23882, 454, 291, 27364, 542, 9222, 3331, 350, 571, 2041, 910, 525, 11985, 10722, 565, 454, 338, 20725, 1576, 1433, 476, 272, 454, 1103, 4948, 4633, 267, 513, 8360, 949, 3277, 547, 1022, 1895, 540, 1913, 269, 769, 23316, 31972, 291, 27364, 542, 9222, 632, 620, 2939, 657, 563, 8002, 1204, 3547, 1609, 1192, 340, 2784, 553, 1303, 1941, 334, 513, 24140, 520, 549, 552, 329, 525, 281, 834, 14976, 1965, 11985, 10722, 565, 679, 1714, 24634, 334, 2580, 834, 300, 2483, 28989, 267, 649, 616, 8572, 547, 2845, 596, 538, 3842, 9365, 693, 713, 942, 269, 7490, 2119, 1586, 2663, 563, 3528, 11836, 267, 596, 3858, 547, 938, 454, 2704, 2819, 513, 4759, 286, 6178, 538, 563, 25594, 607, 2871, 652, 454, 1607, 2962, 1522, 711, 581, 2009, 547, 3768, 334, 269, 3657, 596, 2386, 596, 1616, 547, 3136, 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 ]
[ 0, 24478, 2032, 705, 2432, 256, 5620, 713, 10145, 6656, 2575, 593, 1688, 267, 610, 585, 513, 1808, 3992, 269, 1703, 616, 1896, 1114, 29282, 3769, 267, 543, 513, 1906, 1114, 1899, 7306, 910, 28110, 4481, 4724, 7820, 25803, 945, 949, 991, 8273, 5624, 547, 1118, 711, 725, 538, 563, 8253, 566, 4245, 616, 593, 519, 1259, 267, 855, 713, 568, 513, 1390, 4199, 585, 513, 2875, 1565, 547, 1224, 2575, 270, 1260, 2821, 267, 610, 547, 1831, 5432, 1242, 609, 12377, 3817, 563, 5591, 2604, 256, 4746, 1390, 585, 519, 21836, 1053, 547, 1175, 2721, 10580, 267, 3515, 267, 543, 2681, 538, 1022, 1259, 789, 666, 4952, 563, 292, 7568, 5131, 15733, 256, 5403, 532, 513, 12773, 1299, 5955, 2636, 596, 547, 7118, 17099, 2509, 2104, 570, 8976, 16306, 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 ]
[ 0, 2162, 5851, 3436, 16671, 274, 3436, 3848, 476, 277, 3436, 7689, 476, 277, 269, 272, 269, 275, 3436, 9046, 277, 268, 2412, 692, 277, 268, 2412, 780, 17951, 601, 568, 16116, 7823, 30207, 585, 513, 8949, 2650, 269, 2701, 666, 4584, 4399, 2765, 2715, 476, 272, 7684, 2715, 476, 277, 476, 4151, 7484, 540, 30207, 538, 1269, 273, 259, 3764, 269, 1403, 1352, 2115, 1269, 273, 21702, 346, 272, 2410, 273, 4151, 11680, 540, 30207, 585, 519, 2650, 267, 875, 1279, 786, 621, 1491, 1200, 547, 4584, 519, 15708, 2496, 13729, 909, 513, 8167, 267, 8380, 519, 2557, 538, 799, 1352, 26717, 909, 30207, 936, 519, 942, 621, 3217, 1200, 547, 798, 865, 780, 13729, 909, 519, 8167, 780, 7445, 2765, 3189, 2765, 346, 272, 2410, 277, 12453, 273, 18098, 2765, 3189, 2765, 346, 276, 2410, 273, 12453, 343, 10592, 15899, 2173, 738, 17586, 543, 4194, 585, 1269, 343, 16859, 7445, 2765, 346, 272, 2410, 277, 348, 1422, 10383, 2715, 343, 13157, 273, 1422, 10383, 1422, 2765, 346, 276, 2410, 273, 10592, 259, 343, 284, 1789, 259, 3764 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8310, 21213, 593, 476, 6734, 270, 5400, 270, 1708, 272, 693, 476, 1428, 281, 2412, 454, 9928, 582, 1633, 814, 1044, 1210, 513, 1062, 585, 21365, 5046, 268, 866, 676, 782, 20814, 513, 1412, 24038, 262, 1063, 476, 271, 543, 476, 275, 267, 799, 729, 849, 1634, 607, 519, 20946, 17563, 269, 1452, 2157, 723, 1044, 4294, 25422, 630, 659, 1484, 782, 540, 10430, 264, 610, 547, 1114, 2127, 4470, 593, 519, 3928, 540, 5046, 268, 866, 6771, 12725, 563, 4002, 476, 280, 628, 4864, 267, 10430, 786, 1847, 3564, 5426, 476, 271, 267, 799, 1797, 602, 519, 1114, 2157, 4465, 1405, 4019, 2066, 2199, 8128, 855, 538, 519, 2104, 267, 952, 972, 616, 2199, 17061, 267, 1114, 2157, 540, 8825, 3800, 949, 581, 2322, 1394, 538, 1747, 563, 16908, 3564, 5426, 476, 271, 568, 2966, 547, 581, 538, 1747, 585, 519, 1279, 2165, 2705, 621, 786, 2611, 16913, 543, 930, 2199, 2127, 949, 3068, 9993, 2469, 1394, 538, 1747, 547, 948, 2270, 9678, 13421, 563, 8340, 856, 1018, 602, 1797, 538, 938, 1548, 3657, 634, 16390, 9406, 3767, 286, 2985, 563, 1432, 1377, 616, 649, 538, 888, 2026, 540, 11728, 476, 866, 628, 5147, 267, 782, 13677, 10871, 8191, 885, 723, 1044, 538, 5426, 476, 271, 269, 3245, 476, 280, 628, 4864, 267, 10430, 786, 1847, 3564, 5426, 476, 271, 563, 1103, 10430, 267, 972, 616, 476, 3953, 2199, 8128, 267, 952, 596, 2811, 711, 2386, 1018, 2199, 6392, 596, 2661, 538, 267, 596, 666, 946, 519, 13677, 6554, 5403, 13892, 6744, 518, 547, 1265, 856, 563, 1432, 952, 594, 1185, 547, 13104, 1354, 888, 9928, 582, 1633, 781, 12751, 6481, 20229, 568, 1603, 547, 3025, 945, 8813, 883, 519, 31364, 7121, 609, 5796, 540, 1018, 547, 798, 538, 5426, 476, 271, 543, 3564, 563, 2026, 10430, 2242, 2199, 4027, 2157, 267, 596, 1058, 1246, 519, 3617, 1072, 5796, 2404, 609, 602, 1377, 269, 1411, 666, 1265, 5583, 593, 519, 13677, 6554, 781, 3896, 563, 5415, 1344, 689, 8479, 8857, 593, 27649, 630, 26542, 268, 866, 1040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3695, 519, 10167, 1063, 18691, 267, 13299, 267, 543, 18792, 267, 649, 5490, 883, 513, 3638, 13795, 540, 1480, 1995, 543, 2686, 4082, 269, 901, 1576, 1770, 20217, 1053, 547, 4983, 875, 9644, 3252, 1369, 6237, 543, 2686, 8658, 267, 4481, 1369, 519, 7706, 540, 29450, 626, 2950, 543, 5322, 269, 1284, 786, 5659, 519, 2081, 538, 799, 891, 2516, 2308, 635, 14037, 2609, 547, 4161, 6392, 267, 6536, 17604, 267, 543, 1711, 4244, 6386, 269, 3414, 2673, 13220, 540, 3119, 2707, 2326, 267, 7811, 10850, 267, 543, 4207, 14172, 267, 1053, 786, 2744, 2565, 4030, 883, 519, 1379, 6384, 11251, 538, 9644, 543, 922, 1909, 538, 1514, 7004, 780, 272, 269, 23205, 16161, 543, 9966, 528, 281, 1323, 4985, 692, 2414, 2253, 938, 7634, 267, 649, 1590, 1101, 1174, 519, 2078, 1063, 18691, 543, 9644, 269, 23205, 16161, 4016, 547, 519, 2757, 9821, 267, 8941, 267, 2161, 902, 267, 23929, 267, 543, 8964, 5293, 1524, 1369, 2516, 543, 2950, 267, 1419, 7674, 607, 12508, 540, 3961, 543, 3838, 1686, 630, 289, 14725, 341, 663, 267, 476, 1001, 277, 1040, 9966, 528, 267, 29285, 267, 666, 581, 3989, 607, 519, 2298, 540, 1373, 993, 6748, 610, 635, 673, 267, 1419, 1031, 547, 7038, 267, 14867, 8082, 267, 610, 6655, 8739, 27791, 31886, 630, 16920, 16037, 1299, 681, 2532, 514, 267, 476, 1960, 272, 1040, 1879, 5916, 267, 12563, 3271, 545, 9644, 3587, 513, 14984, 1907, 585, 17683, 543, 23142, 2686, 1702, 267, 2418, 267, 543, 4978, 2066, 5481, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5591, 811, 2911, 827, 519, 2025, 2395, 267, 621, 779, 942, 585, 1945, 1390, 563, 296, 1616, 596, 547, 1205, 856, 543, 1118, 621, 960, 2483, 291, 539, 5344, 547, 519, 8748, 1004, 540, 22859, 514, 288, 7356, 807, 267, 5487, 4860, 27117, 6242, 267, 543, 519, 19109, 643, 1102, 657, 7749, 267, 585, 1818, 606, 8944, 960, 563, 7212, 713, 1433, 3323, 856, 607, 606, 1367, 1788, 267, 538, 519, 1439, 513, 1390, 1082, 1004, 267, 1034, 540, 7247, 4782, 547, 2611, 20822, 267, 5280, 1118, 621, 2009, 998, 6169, 15105, 267, 1249, 19295, 9535, 267, 2857, 2056, 2959, 267, 11049, 267, 543, 811, 269, 1677, 11760, 1152, 513, 1507, 851, 540, 713, 948, 267, 519, 2278, 1131, 899, 547, 9684, 3627, 267, 8277, 267, 966, 10042, 918, 3121, 267, 513, 12711, 320, 29755, 700, 267, 808, 267, 543, 717, 585, 3246, 2780, 1569, 2429, 513, 1032, 540, 7575, 267, 859, 11881, 267, 26301, 267, 8290, 267, 543, 865, 8521, 269, 8729, 547, 25014, 773, 667, 617, 5459, 543, 15576, 773, 18412, 585, 4543, 609, 519, 1382, 593, 1776, 1788, 267, 602, 594, 8694, 909, 1210, 585, 713, 1433, 269, 4746, 7064, 547, 595, 543, 661, 267, 585, 23831, 741, 18538, 585, 1863, 1569, 547, 519, 12240, 540, 14046, 4930, 2139, 547, 6280, 1053, 855, 711, 547, 519, 1964, 540, 721, 563, 265, 2608, 2608, 2608, 27661, 2467, 616, 6456, 2984, 513, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 565, 16161, 543, 19088, 1108, 1290, 9037, 257, 607, 851, 540, 834, 295, 9331, 3036, 1315, 13445, 1315, 13636, 1299, 8836, 2668, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3796, 270, 631, 5417, 773, 289, 4534, 18248, 1889, 3563, 454, 631, 5417, 773, 779, 8748, 1922, 656, 20292, 2275, 944, 5816, 30314, 1284, 616, 513, 1895, 540, 476, 278, 628, 17603, 689, 12548, 945, 1616, 547, 2259, 938, 1603, 543, 2792, 1983, 269, 1284, 616, 9599, 547, 4228, 519, 6821, 540, 938, 4928, 543, 12840, 609, 824, 5049, 256, 7490, 4734, 721, 8292, 543, 707, 5816, 15745, 267, 865, 649, 666, 4431, 1394, 547, 596, 2336, 676, 631, 5417, 773, 289, 4116, 281, 11427, 269, 700, 889, 747, 692, 7922, 690, 9980, 1845, 454, 5903, 476, 1839, 267, 476, 2004, 267, 782, 692, 13043, 286, 670, 7795, 286, 901, 568, 513, 1360, 16168, 3381, 269, 25381, 568, 2965, 3257, 519, 3830, 7157, 476, 1839, 260, 5258, 8449, 676, 476, 276, 1797, 1142, 1268, 1058, 1205, 476, 276, 10065, 25381, 849, 1281, 519, 3830, 7157, 476, 276, 343, 276, 284, 1839, 780, 763, 1259, 14529, 1281, 519, 3830, 568, 11234, 269, 14529, 17337, 476, 1839, 676, 476, 276, 855, 646, 4991, 476, 1691, 607, 519, 2626, 799, 568, 4636, 269, 14529, 3081, 602, 476, 276, 4465, 1406, 979, 883, 476, 273, 855, 621, 786, 979, 883, 476, 276, 2899, 269, 14529, 1287, 3081, 476, 276, 268, 276, 815, 271, 269, 1261, 1287, 3081, 602, 2094, 646, 4769, 1406, 946, 519, 476, 273, 646, 6770, 621, 1524, 543, 12662, 519, 476, 273, 538, 4395, 540, 519, 476, 271, 547, 1118, 476, 736, 269, 14529, 1287, 17337, 476, 736, 1315, 476, 276, 799, 815, 476, 275, 269, 14529, 1287, 12662, 519, 476, 272, 538, 4395, 540, 519, 476, 275, 543, 4991, 476, 1691, 780, 30538, 849, 1281, 519, 1966, 27235, 269, 8575, 3081, 476, 276, 343, 1691, 284, 1839, 799, 4636, 269, 8575, 1101, 1281, 476, 276, 343, 275, 284, 736, 543, 1287, 476, 276, 343, 272, 284, 276, 1352, 8591, 873, 1927, 547, 1205, 476, 1839, 563, 289, 11035, 13290, 547, 1397, 8575, 543, 14529, 602, 476, 1691, 266, 1691, 266, 1691, 266, 1691, 266, 1691, 1281, 711, 3160, 476, 1839, 855, 14529, 1281, 27235, 547, 1118, 621, 3160, 476, 1839, 269, 14529, 8591, 476, 275, 266, 275, 266, 275, 266, 275, 266, 275, 547, 1205, 476, 736, 543, 1287, 476, 272, 266, 272, 266, 272, 266, 272, 266, 272, 547, 1205, 2947, 543, 1287, 8591, 476, 736, 266, 276, 547, 1205, 476, 1839, 780, 30538, 543, 14529, 779, 21173, 2979, 786, 849, 960, 609, 476, 275, 543, 476, 3607, 269, 1403, 972, 616, 476, 3607, 6960, 625, 543, 789, 2877, 547, 581, 5258, 8449, 676, 476, 275, 1004, 1142, 1268, 786, 1205, 476, 280, 6960, 625, 269, 4635, 14529, 779, 543, 8575, 779, 2979, 789, 1131, 1142, 1205, 476, 1240, 6960, 625, 780, 20684, 11540, 5181, 476, 1839, 267, 476, 1001, 272, 693, 476, 5400, 281, 6246, 6751, 3040, 6085, 3040, 3367, 338, 476, 13893, 275, 3040, 17776, 547, 18248, 5903 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23911, 476, 274, 269, 278, 269, 273, 630, 341, 274, 269, 278, 269, 273, 281, 280, 320, 274, 742, 322, 271, 5392, 273, 267, 5463, 476, 2190, 476, 1001, 279, 267, 476, 6349, 281, 4510, 281, 6246, 264, 3097, 314, 5141, 836, 476, 277, 269, 271, 630, 743, 836, 268, 7785, 269, 271, 269, 6872, 13580, 593, 29593, 7773, 454, 13911, 834, 15276, 2580, 834, 322, 9728, 2580, 834, 920, 323, 1080, 257, 610, 834, 997, 1619, 3890, 257, 585, 811, 1344, 563, 24257, 2575, 284, 22373, 339, 11336, 27997, 2580, 834, 331, 559, 1259, 333, 928, 2580, 834, 14006, 4731, 821, 2580, 834, 330, 573, 524, 28854, 2580, 834, 325, 564, 1399, 31116, 24257, 2575, 454, 9131, 339, 11336, 27997, 3299, 1412, 331, 559, 1259, 333, 928, 3299, 1412, 14006, 4731, 821, 3299, 1412, 330, 573, 524, 28854, 3299, 1412, 325, 564, 1399, 23300, 24257, 2575, 314, 275, 316, 6889, 329, 7897, 561, 3317, 517, 4840, 24257, 2575, 454, 9131, 339, 11336, 27997, 3299, 1412, 331, 559, 1259, 333, 928, 3299, 1412, 14006, 4731, 821, 3299, 1412, 330, 573, 524, 28854, 3299, 1412, 329, 7897, 561, 3317, 517, 23300, 24257, 2575, 314, 272, 316, 6889, 331, 559, 579, 17844, 9825, 4840, 24257, 2575, 454, 9131, 339, 11336, 27997, 3299, 1412, 331, 559, 579, 17844, 9825, 3299, 1412, 14006, 4731, 821, 3299, 1412, 330, 573, 524, 28854, 3299, 1412, 329, 7897, 561, 3317, 517, 23300, 24257, 1820, 9852, 639, 545, 994, 9131, 339, 11336, 27997, 3299, 1412, 331, 559, 579, 17844, 9825, 3299, 1412, 14006, 4731, 821, 3299, 1412, 330, 573, 524, 28854, 3299, 1412, 329, 7897, 561, 3317, 517, 23300, 24257, 2575, 6910, 2891, 325, 564, 1399, 5602, 24257, 2575, 454, 9131, 339, 11336, 27997, 3299, 1412, 331, 559, 579, 17844, 9825, 3299, 1412, 14006, 4731, 821, 3299, 1412, 330, 573, 524, 28854, 3299, 1412, 329, 7897, 561, 3317, 517, 3299, 1412, 325, 564, 1399, 23300, 24257, 6221, 284, 16443, 545, 21014, 4590, 24257, 6221, 454, 262, 325, 564, 1399, 7055, 24257, 2575, 454, 9131, 339, 11336, 27997, 3299, 1412, 331, 559, 579, 17844, 9825, 3299, 1412, 14006, 4731, 821, 3299, 1412, 330, 573, 524, 28854, 3299, 1412, 329, 7897, 561, 3317, 517, 23300, 24257, 2575, 314, 271, 2639, 1405, 11336, 27997, 7055, 24257, 2575, 314, 275, 2639, 262, 329, 7897, 561, 3317, 517, 7055, 24257, 4778, 284, 14277, 20580, 921, 2580, 834, 528, 1052, 2580, 834, 13582, 31116, 24257, 4778, 454, 9131, 20580, 921, 3299, 1412, 528, 1052, 3299, 1412, 13582, 23300, 24257, 7058, 284, 6358, 2891, 29674, 513, 2681, 281, 5602, 29674, 513, 2681, 281, 257, 344, 3641, 4840, 24257, 952, 7058, 538, 4778, 454, 306, 9321, 1314, 13286, 281, 23380, 16105, 454, 24257, 952, 7058, 538, 4778, 912, 13537, 2891, 9767, 31665, 7157, 5602, 12828, 912, 13537, 2891, 342, 3994, 267, 7058, 1586, 15419, 28768, 342, 3994, 267, 7058, 1586, 454, 24257, 7058, 284, 6358, 2891, 29674, 513, 2681, 281, 5602, 29674, 513, 2681, 281, 257, 20580, 921, 4840, 24257, 952, 7058, 538, 4778, 912, 13537, 2891, 9767, 31665, 7157, 32405, 12828, 912, 13537, 2891, 342, 3994, 267, 7058, 1586, 15419, 28768, 342, 3994, 267, 7058, 1586, 454, 24257, 3097 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28896, 689, 10003, 29853, 6452, 6342, 630, 305, 14011, 264, 13822, 513, 2101, 2014, 540, 796, 11499, 7972, 1851, 1453, 538, 25941, 580, 541, 327, 7997, 540, 3345, 4639, 3127, 269, 634, 27496, 540, 681, 14011, 1644, 7972, 538, 713, 2085, 1895, 568, 15877, 538, 938, 2197, 269, 901, 24794, 8826, 1353, 630, 3192, 275, 1700, 1001, 274, 264, 3769, 1453, 630, 414, 358, 377, 1240, 1296, 264, 945, 2968, 9601, 540, 681, 14011, 543, 13604, 5747, 1282, 519, 1576, 540, 2126, 269, 634, 2022, 332, 677, 655, 543, 6413, 5638, 540, 519, 9601, 941, 1031, 547, 2445, 519, 16917, 8344, 1239, 3823, 2085, 267, 3023, 267, 1858, 540, 15335, 267, 3092, 269, 1452, 7972, 27648, 476, 280, 269, 275, 260, 540, 2698, 4155, 8009, 7972, 4080, 693, 713, 6413, 269, 4934, 540, 513, 2698, 540, 476, 3583, 280, 681, 14011, 7972, 538, 1453, 267, 827, 476, 1626, 260, 941, 4080, 538, 519, 3625, 1032, 540, 476, 3192, 275, 1700, 4281, 543, 713, 8167, 8519, 547, 476, 280, 269, 275, 260, 1282, 519, 3625, 1032, 540, 476, 2735, 275, 1700, 6434, 543, 814, 7283, 3592, 3586, 2094, 1287, 269, 634, 5021, 1297, 540, 9601, 20705, 547, 519, 2829, 540, 670, 776, 3570, 630, 3607, 8472, 543, 23570, 630, 4097, 22103, 589, 2362, 1297, 540, 7972, 941, 4767, 538, 6917, 2551, 630, 2568, 22103, 4107, 540, 519, 28896, 7018, 1063, 476, 1321, 1700, 275, 10681, 630, 3066, 269, 280, 8472, 543, 19516, 20379, 630, 5325, 269, 279, 8472, 941, 1336, 547, 581, 519, 1034, 4122, 4299, 269, 634, 1034, 1455, 4299, 729, 519, 476, 1626, 1700, 1240, 1032, 2085, 1895, 630, 3374, 269, 274, 22103, 28864, 547, 2212, 543, 8405, 3148, 630, 10037, 269, 275, 8472, 729, 3743, 585, 513, 5354, 540, 7972, 269, 634, 1353, 11943, 602, 519, 681, 14011, 3788, 606, 1271, 2014, 540, 796, 11499, 7972, 538, 1453, 269, 634, 11979, 8167, 540, 891, 7972, 936, 519, 2250, 1614, 5756, 19752, 602, 519, 4155, 3106, 4507, 723, 1044, 23696, 538, 7303, 1757, 8017, 543, 991, 2417, 9283, 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 ]
[ 0, 258, 4009, 10174, 26316, 692, 283, 734, 9373, 4082, 692, 24066, 10663, 20734, 26316, 692, 28350, 476, 272, 814, 513, 4009, 3597, 267, 865, 649, 6218, 543, 14458, 912, 8245, 680, 1518, 20734, 26316, 780, 10267, 9535, 4009, 5072, 267, 649, 1294, 602, 476, 13923, 815, 476, 18597, 543, 476, 14341, 815, 476, 16348, 563, 5978, 2626, 538, 8918, 3898, 568, 1063, 476, 1428, 543, 476, 1626, 454, 5978, 2626, 568, 711, 606, 8870, 267, 865, 649, 2119, 14458, 621, 883, 519, 1587, 540, 606, 8870, 543, 513, 9097, 780, 2171, 798, 713, 676, 17609, 1142, 1587, 2036, 334, 540, 476, 26316, 10992, 585, 8870, 4009, 3597, 2418, 2630, 912, 26316, 815, 20734, 14862, 278, 454, 26316, 815, 20734, 14530, 280, 692, 5804, 602, 1592, 267, 519, 5207, 3815, 602, 814, 606, 8870, 4009, 3597, 568, 476, 272, 563, 11997, 267, 649, 946, 519, 1587, 2036, 334, 20734, 26316, 815, 20734, 14862, 278, 454, 24066, 15070, 4009, 5072, 267, 649, 1294, 602, 20734, 272, 815, 476, 272, 692, 7712, 476, 272, 568, 519, 6574, 1455, 3815, 267, 713, 4009, 3597, 3112, 581, 16866, 1022, 2417, 912, 11372, 17586, 676, 938, 3586, 540, 476, 272, 454, 26316, 815, 476, 26316, 692, 27026, 4009, 3597, 2474, 585, 476, 272, 454, 272, 18414, 26316 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 279, 20609, 8894, 18851, 6581, 826, 6388, 5727, 7531, 5035, 6581, 826, 912, 825, 5727, 634, 8173, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 29096, 815, 29129, 825, 1219, 568, 318, 24105, 4311, 2187, 1038, 5727, 561, 5793, 8173, 1038, 2132, 1582, 29096, 2652, 29129, 825, 1219, 679, 28255, 4311, 267, 6221, 2187, 1038, 5727, 568, 8173, 1038, 1582, 29096, 27044, 263, 271, 267, 6221, 2020, 825, 1219, 632, 28255, 4311, 2187, 1038, 5727, 1360, 8173, 1038, 2132, 1582, 29096, 21014, 10797, 825, 1219, 2450, 4311, 2187, 1038, 5727, 30414, 8173, 1038, 2132, 7003, 4311, 29096, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 7117, 815, 6581, 826, 4590, 825, 952, 7117, 18994, 318, 24105, 10031, 1038, 7117, 269, 523, 28255, 3488, 14140, 5073, 1038, 7117, 269, 523, 28255, 3488, 16149, 5073, 1038, 7117, 269, 523, 28255, 263, 274, 994, 1038, 7117, 269, 523, 28255, 3488, 18431, 17210, 825, 1820, 2891, 23917, 281, 14307, 7117, 25915, 31156, 825, 1247, 711, 7117, 18994, 318, 24105, 10031, 1038, 1820, 32429, 19709, 28255, 31156 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9741, 645, 22324, 6068, 3695, 519, 803, 20760, 2282, 1010, 3276, 992, 269, 2290, 13566, 12784, 267, 646, 1336, 1079, 21743, 2699, 13212, 14084, 593, 519, 6371, 269, 1261, 13603, 873, 909, 267, 9599, 547, 3142, 873, 1753, 547, 1397, 1010, 1920, 780, 2026, 646, 5577, 6244, 2059, 267, 646, 3357, 2066, 8293, 597, 7758, 267, 945, 729, 11112, 4730, 609, 2185, 1035, 27163, 269, 1358, 536, 6407, 543, 18202, 267, 18343, 1164, 538, 519, 2011, 1354, 13941, 1394, 538, 8293, 597, 7758, 781, 533, 9155, 269, 654, 10248, 1864, 1500, 9741, 645, 22324, 7340, 782, 827, 1010, 8949, 13212, 780, 257, 17098, 8293, 597, 7758, 256, 594, 1294, 596, 2811, 2348, 1187, 609, 707, 1035, 27163, 2437, 1767, 9741, 645, 22324, 563, 306, 9595, 7758, 6743, 936, 543, 14452, 267, 834, 17764, 32597, 267, 9741, 645, 22324, 256, 8786, 267, 891, 1035, 27163, 1118, 1390, 9162, 30882, 28012, 645, 22324, 2219, 585, 513, 4090, 543, 1287, 4280, 267, 834, 3719, 8293, 597, 7758, 267, 4465, 1405, 596, 3548, 1346, 1035, 27163, 2663, 24350, 4415, 513, 6616, 12837, 267, 8293, 597, 7758, 12943, 267, 834, 8170, 1576, 267, 9741, 645, 22324, 256, 29892, 609, 1250, 1035, 27163, 3085, 1405, 1689, 875, 1082, 594, 723, 1107, 789, 3513, 1869, 581, 1934, 950, 594, 1616, 547, 3548, 873, 3010, 30342, 8049, 267, 9741, 645, 22324, 4956, 547, 1449, 856, 1018, 8293, 597, 7758, 1185, 5143, 1864, 269, 3807, 899, 8293, 597, 7758, 267, 646, 5129, 609, 1010, 13212, 676, 19184, 532, 873, 9900, 883, 519, 2011, 267, 20414, 873, 267, 543, 12902, 873, 1472, 269, 2991, 930, 942, 267, 646, 7691, 1945, 1271, 13718, 10214, 1498, 646, 1185, 1044, 11981, 5128, 30140, 267, 519, 1079, 13212, 941, 1869, 538, 4395, 540, 1864, 256, 3571, 10761, 5828, 883, 22906, 607, 646, 6956, 602, 4730, 609, 1010, 13212, 4769, 1405, 946, 873, 909, 610, 1491, 873, 2476, 282, 1454, 899, 8293, 597, 7758, 781, 1035, 27163, 267, 789, 7283, 2150, 31189, 543, 2139, 585, 824, 5301, 1932, 269, 901, 6397, 6602, 8118, 909, 1007, 7399, 585, 741, 17705, 13000, 1247, 3450, 1312, 2828, 513, 3407, 3621, 1523, 910, 3527, 1810, 1405, 8209, 7369, 9424, 8259, 1031, 2047, 585, 4616, 610, 7004, 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, 723, 476, 273, 13212, 543, 1404, 609, 476, 275, 9162, 269, 1215, 1082, 13212, 798, 596, 723, 2451, 888, 2791, 1869, 723, 476, 273, 13212, 267, 607, 4730, 609, 9162, 1281, 711, 1860, 519, 1297, 540, 13212, 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 ]
[ 0, 5814, 556, 692, 258, 335, 8432, 1067, 815, 1412, 323, 629, 10907, 25519, 290, 10621, 322, 290, 8619, 6395, 28847, 5976, 1930, 3488, 6358, 17902, 3299, 1412, 337, 10807, 607, 3758, 912, 825, 12249, 815, 3758, 18667, 30800, 3698, 23465, 5416, 267, 536, 2187, 825, 2132, 513, 31573, 3890, 2652, 536, 31573, 3890, 543, 630, 320, 18994, 12294, 3890, 543, 536, 18994, 21639, 3890, 610, 536, 18994, 12294, 3890, 543, 513, 18994, 21639, 3890, 9239, 3698, 2746, 9638, 8432, 1067, 2187, 825, 4994, 815, 476, 271, 454, 825, 1267, 815, 12249, 14714, 8692, 4590, 825, 1247, 4994, 2999, 7003, 31114, 2187, 1038, 524, 815, 1267, 27709, 2639, 1038, 952, 4994, 3436, 476, 271, 543, 23465, 6262, 267, 1267, 27709, 910, 476, 272, 316, 2187, 2018, 1267, 815, 1267, 314, 271, 281, 8161, 910, 476, 272, 316, 1341, 1267, 27709, 1341, 476, 272, 281, 2639, 2018, 4994, 20699, 476, 272, 454, 2018, 3136, 454, 1038, 952, 4994, 2999, 7003, 31114, 264, 910, 476, 272, 543, 23465, 6262, 267, 1267, 27709, 1341, 476, 272, 316, 2187, 2018, 1267, 815, 1267, 314, 271, 281, 8161, 316, 1341, 1267, 27709, 1341, 476, 273, 281, 2639, 2018, 3136, 454, 1038, 4994, 6834, 476, 272, 454, 825, 2132, 1267, 7531, 516, 706, 1027, 815, 2746, 9638, 8432, 1067, 994, 2745, 2891, 8512, 476, 272, 281, 28088, 532, 12249, 568, 15079, 4559, 910, 1412, 24001, 262, 2668, 8971, 12759, 263, 516, 706, 1027, 1070, 4389, 11723, 24393, 815, 1592, 9852, 777, 263, 577, 337, 267, 2039, 263, 867, 3488, 320, 30670, 3921, 3488, 345, 10807, 1341, 476, 272, 21875, 2381, 3065, 815, 7003, 9638, 8432, 1067, 994, 2381, 318, 12072, 815, 7183, 454, 1721, 524, 538, 5022, 912, 825, 6569, 815, 556, 16553, 3488, 314, 346, 2410, 348, 316, 8339, 8971, 6262, 267, 524, 269, 21639, 3890, 1070, 1412, 3299, 12249, 994, 825, 4389, 815, 2746, 263, 8145, 3437, 994, 825, 952, 5934, 3436, 7003, 263, 516, 706, 1027, 2187, 1038, 5934, 815, 7003, 263, 516, 706, 1027, 994, 1038, 1295, 318, 12072, 815, 524, 454, 2745, 2891, 8512, 476, 273, 281, 14594, 1412, 24001, 262, 2164, 538, 513, 2746, 539, 3259, 540, 15079, 2668, 8971, 263, 2381, 318, 12072, 267, 5934, 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 ]
[ 0, 9223, 281, 1924, 9041, 19345, 519, 2777, 1317, 30621, 6499, 547, 2661, 538, 513, 2973, 1604, 1247, 20574, 729, 30255, 563, 271, 269, 30621, 454, 272, 269, 20574, 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 ]
[ 0, 2304, 12844, 333, 476, 4489, 277, 454, 305, 756, 2548, 540, 519, 30407, 454, 24820, 1189, 539, 676, 8581, 2008, 347, 292, 5554, 2225, 1475, 17829, 945, 6039, 538, 513, 4108, 4390, 1282, 519, 3018, 540, 476, 2537, 4989, 476, 4489, 277, 2008, 24820, 1189, 539, 585, 1475, 306, 16291, 1282, 519, 14914, 29547, 2008, 347, 15307, 21521, 1475, 2190, 5130, 476, 3707, 272, 2008, 763, 476, 4489, 277, 29274, 568, 513, 3028, 30407, 540, 519, 6243, 540, 8581, 269, 12878, 2082, 476, 2190, 5130, 476, 3707, 272, 267, 519, 30407, 729, 13752, 547, 1346, 945, 21235, 6444, 4108, 3028, 1282, 519, 3018, 540, 476, 2537, 4989, 476, 4489, 277, 1282, 519, 14914, 29547, 563, 763, 476, 4489, 277, 29274, 568, 513, 19730, 9764, 30407, 5111, 476, 3374, 6515, 630, 272, 269, 275, 538, 264, 538, 8006, 269, 634, 1374, 18187, 919, 519, 4013, 9721, 8136, 30160, 267, 513, 3141, 10767, 560, 1147, 25236, 539, 676, 606, 476, 279, 15304, 539, 5182, 269, 634, 1073, 2091, 540, 519, 30407, 12217, 513, 26841, 540, 519, 2669, 540, 595, 14243, 577, 592, 664, 333, 267, 13148, 11303, 676, 513, 18156, 12966, 269, 2201, 519, 9258, 568, 519, 30115, 281, 10323, 288, 384, 488, 14011, 2562, 19364, 595, 383, 479, 306, 7563, 476, 4489, 277, 267, 799, 18922, 547, 834, 292, 2120, 10432, 476, 4489, 277, 2668, 634, 30407, 568, 17735, 689, 513, 26781, 540, 3368, 3039, 543, 3368, 10538, 267, 519, 3039, 547, 519, 649, 31600, 1318, 269, 2311, 519, 1283, 540, 519, 26781, 568, 513, 20022, 3046, 689, 799, 519, 26781, 13793, 338, 12946, 606, 954, 331, 3166, 22469, 1374, 563, 268, 20875, 834, 15578, 476, 4489, 277, 32212, 3201, 2668, 4347, 775, 17086, 8581, 269, 5291, 2517, 4178, 6230, 26090, 1105, 1161, 269, 773, 11721, 850, 611, 2381, 270, 12528, 318, 340, 22744, 270, 5960, 15425, 270, 318, 25269, 3701, 270, 8469, 1023, 270, 8469, 531, 318, 4489, 277, 15005, 269, 8158, 476, 1789, 4873, 476, 1001, 277, 563, 268, 20875, 834, 8469, 1023, 540, 519, 9721, 4347, 775, 17086, 2668, 9721, 4347, 775, 17086, 269, 5239, 476, 1001, 271, 269, 5291, 2517, 4178, 6230, 26090, 269, 773, 11721, 850, 611, 2381, 270, 12528, 318, 340, 22744, 270, 30502, 270, 14813, 334, 318, 28495, 516, 7933, 665, 3701, 22230, 325, 318, 8469, 1023, 318, 1001, 271, 15005, 269, 8158, 476, 1789, 4873, 476, 1001, 277, 563, 347, 1607, 2985, 3096, 11300, 12780, 13397, 10234, 1543, 689, 9504, 630, 1613, 4589, 1040, 347 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5727, 301, 559, 9045, 529, 715, 27599, 8838, 3065, 3269, 610, 834, 257, 301, 5847, 855, 519, 7454, 265, 568, 519, 2138, 1729, 540, 799, 20031, 4536, 1222, 25624, 11833, 24350, 12585, 281, 17451, 2023, 454, 2704, 328, 1162, 281, 17451, 2023, 267, 17451, 2023, 630, 4134, 3711, 580, 6672, 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 ]

[ 0, 5814, 14854, 454, 339, 31103, 17482, 3488, 339, 31103, 5073, 339, 31103, 269, 10233, 3488, 1042, 5073, 333, 815, 476, 1220, 454, 3698, 4963, 3799, 267, 737, 2187, 22610, 1775, 538, 2039, 263, 272, 267, 562, 267, 476, 272, 2187, 453, 453, 339, 31103, 269, 3453, 263, 274, 994, 453, 453, 339, 31103, 16000, 263, 11740, 14672, 264, 28768, 22610, 678, 538, 2039, 263, 272, 267, 562, 267, 476, 272, 2187, 453, 453, 339, 31103, 269, 3453, 263, 274, 994, 453, 453, 339, 31103, 16192, 263, 11740, 14672, 2020, 330, 815, 476, 276, 454, 1721, 642, 538, 2039, 263, 272, 267, 737, 267, 476, 272, 2187, 453, 322, 597, 3799, 267, 642, 994, 453, 339, 31103, 16000, 263, 5197, 31574, 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 ]

[ 0, 258, 13127, 353, 487, 12255, 28374, 12571, 491, 31176, 491, 7430, 360, 7430, 363, 11210, 351, 12530, 360, 12530, 499, 11210, 350, 12530, 503, 12530, 481, 12530, 486, 28374, 16533, 493, 24757, 21211, 11210, 496, 12916, 379, 7430, 484, 454, 258, 13127, 353, 487, 12255, 23748, 7430, 360, 18998, 22390, 353, 1911, 11210, 496, 28786, 24662, 454, 23748, 815, 476, 1911, 454, 258, 13127, 353, 487, 12255, 23748, 28374, 19540, 483, 14395, 373, 11210, 496, 22287, 364, 10254, 371, 454, 2745, 263, 3902, 25589, 258, 13127, 362, 504, 12255, 28374, 12571, 491, 31176, 491, 7430, 360, 7430, 363, 11210, 351, 12530, 360, 12530, 499, 11210, 350, 12530, 503, 12530, 481, 12530, 486, 28374, 27962, 24757, 21211, 11210, 496, 12916, 379, 7430, 484, 454, 258, 13127, 362, 504, 12255, 14011, 311, 318, 305, 12442, 11210, 496, 27936, 419, 378, 358, 263, 31801, 492, 27064, 485, 279, 260, 28374, 7430, 353, 11210, 480, 11210, 488, 994, 14011, 311, 318, 305, 12442, 815, 476, 272, 269, 5400, 454, 258, 22614, 357, 492, 20001, 376, 7430, 379, 28032, 350, 21550, 376, 11210, 496, 22287, 364, 10254, 371, 454, 343, 23748, 815, 3902, 2608, 25526, 311, 318, 305, 12442, 454, 2745, 263, 1535, 23748, 25589, 258, 29635, 353, 485, 12571, 486, 28786, 24662, 418, 376, 498, 28997, 501, 31878, 281, 28786, 24662, 5405, 507, 7430, 357, 12571, 490, 418, 30904, 7430, 360, 27310, 7430, 484, 16583, 355, 419, 494, 484, 11210, 496, 5405, 507, 28374, 31176, 491, 7430, 360, 418, 505, 372, 7430, 493, 454, 258, 476, 11210, 353, 12530, 367, 11210, 363, 12530, 359, 12530, 350, 12530, 367, 12530, 486, 263, 272, 11210, 496, 420, 370, 367, 7430, 503, 7430, 497, 7430, 357, 264, 11210, 496, 420, 353, 485, 12571, 486, 28786, 24662, 418, 376, 498, 28997, 501, 31878, 7430, 356, 418, 505, 372, 7430, 482, 7430, 355, 7430, 379, 11210, 489, 454, 23748, 6834, 476, 272, 454, 2745, 263, 3902, 12467, 258, 476, 12530, 485, 11210, 363, 12530, 359, 12530, 350, 12530, 367, 12530, 486, 263, 272, 11210, 496, 418, 372, 505, 7430, 502, 11210, 489, 7430, 497, 7430, 357, 264, 11210, 496, 420, 353, 485, 12571, 486, 28786, 24662, 418, 376, 498, 28997, 501, 31878, 7430, 356, 418, 505, 372, 7430, 482, 7430, 355, 7430, 379, 11210, 489, 454, 23748, 20699, 476, 272, 454, 2745, 263, 3902, 25589, 258, 13127, 505, 505, 31176, 485, 418, 376, 498, 28997, 501, 7430, 359, 7430, 358, 454, 320, 815, 476, 1015, 454, 321, 815, 476, 476, 274, 692, 2745, 263, 1412, 315, 3534, 284, 3299, 513, 12467, 2745, 263, 1412, 321, 284, 3299, 536, 12467, 2745, 263, 1412, 315, 3534, 17070, 284, 3299, 513, 1341, 536, 12467, 322, 815, 513, 454, 322, 6834, 536, 454, 2745, 263, 1412, 322, 284, 3299, 524, 12467, 2745, 263, 1412, 315, 3534, 1532, 284, 3299, 513, 910, 536, 12467, 322, 815, 513, 454, 322, 20699, 536, 454, 2745, 263, 1412, 322, 284, 3299, 524, 12467, 2745, 263, 1412, 315, 3534, 265, 321, 284, 3299, 513, 2608, 536, 12467, 322, 815, 513, 454, 322, 2608, 284, 536, 454, 2745, 263, 1412, 322, 284, 3299, 524, 12467, 2745, 263, 1412, 315, 3534, 11486, 284, 3299, 513, 1315, 536, 12467, 322, 815, 513, 454, 322, 1315, 284, 536, 454, 2745, 263, 1412, 322, 284, 3299, 524, 12467, 2745, 263, 1412, 315, 3534, 2260, 321, 284, 3299, 513, 12262, 536, 12467, 322, 815, 513, 454, 322, 12262, 284, 536, 454, 2745, 263, 1412, 322, 284, 3299, 524, 12467, 2745, 263, 1412, 315, 3534, 260, 321, 284, 3299, 513, 4939, 536, 12467, 322, 815, 513, 454, 322, 4939, 284, 536, 454, 2745, 263, 1412, 322, 284, 3299, 524, 12467, 2745, 263, 1412, 315, 3534, 1262, 321, 284, 3299, 513, 2878, 536, 12467, 322, 815, 513, 454, 322, 2878, 284, 536, 454, 2745, 263, 1412, 322, 284, 3299, 524, 12467 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23423, 540, 630, 272, 266, 7562, 263, 275, 343, 4297, 22677, 20799, 3287, 4297, 607, 1535, 4422, 547, 476, 271, 31956, 700, 262, 295, 2214, 1388, 781, 14329, 1923, 12834, 543, 1627, 26031, 692, 2537, 269, 277, 298, 5784, 454, 20606, 476, 275, 267, 476, 1001, 275, 454, 2421, 454, 18872, 5155, 1042, 5155, 454, 21918, 527, 540, 630, 272, 266, 7562, 263, 275, 343, 4297, 22677, 20799, 3287, 4297, 607, 1535, 4422, 547, 476, 271, 31956, 700, 262, 295, 2214, 1388, 781, 14329, 692, 1012, 570, 299, 282, 11403, 692, 1607, 1543, 11828, 4466, 519, 3970, 540, 513, 1950, 1599, 676, 1210, 519, 3601, 540, 28422, 836, 550, 543, 700, 333, 780, 1012, 12305, 547, 5681, 3405, 1125, 13334, 27678, 543, 5192, 3690, 5296, 338, 692, 2162, 1627, 281, 1548, 568, 519, 3970, 540, 519, 1599, 607, 2473, 4485, 476, 271, 266, 2496, 763, 3970, 568, 2318, 20581, 950, 2473, 4485, 476, 271, 266, 543, 28422, 836, 550, 568, 3238, 780, 2162, 1627, 281, 1215, 1281, 10962, 513, 1007, 4756, 948, 538, 6061, 519, 1966, 2496, 4504, 18166, 513, 1007, 4756, 2636, 519, 10584, 547, 13861, 519, 3830, 543, 4019, 519, 700, 333, 3959, 267, 28976, 519, 1966, 780, 2162, 1627, 281, 1548, 4523, 950, 519, 19362, 543, 14009, 1312, 1935, 4642, 2496, 2691, 1312, 519, 19362, 543, 14009, 1935, 4642, 267, 519, 3970, 666, 581, 5462, 1210, 561, 262, 295, 20110, 335, 1388, 781, 4341, 780, 2162, 1627, 281, 1215, 1281, 519, 10584, 14458, 519, 28422, 836, 550, 1599, 2496, 763, 10584, 556, 16261, 525, 28422, 836, 550, 2473, 607, 476, 272, 936, 28422, 836, 550, 2473, 267, 799, 2636, 585, 4443, 12879, 540, 519, 3830, 780, 1012, 12834, 1299, 6206, 6875, 25498, 692, 1892, 634, 10584, 1568, 998, 1383, 1297, 5216, 538, 3296, 476, 275, 269, 275, 267, 4466, 519, 3970, 540, 513, 1599, 607, 2473, 4485, 476, 271, 266, 780, 1892, 1879, 2473, 568, 16042, 476, 271, 266, 543, 28422, 836, 550, 568, 3238, 267, 519, 3970, 568, 2318, 20581, 780, 1892, 1677, 14458, 519, 1966, 267, 519, 10584, 12857, 513, 1007, 4756, 543, 3096, 519, 700, 333, 3959, 780, 1892, 1635, 22392, 519, 3830, 543, 7311, 519, 700, 333, 3959, 267, 519, 10584, 568, 2111, 547, 14458, 519, 1966, 2417, 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 ]

[ 0, 4002, 5239, 476, 866, 267, 476, 9965, 272, 267, 538, 3840, 26165, 267, 9098, 267, 519, 3703, 4229, 1147, 16781, 1229, 547, 6723, 6115, 267, 3927, 10678, 519, 21829, 2782, 543, 721, 17518, 538, 519, 2038, 2395, 540, 519, 2136, 2276, 269, 6258, 811, 827, 519, 27119, 613, 540, 3840, 26165, 693, 519, 3840, 26165, 7861, 800, 4741, 267, 513, 9754, 4092, 693, 3840, 26165, 11135, 7615, 2817, 5244, 269, 3840, 26165, 568, 851, 540, 834, 25567, 320, 781, 19866, 21121, 2437, 2059, 609, 519, 7404, 7810, 10034, 540, 11918, 652, 1144, 543, 13879, 7921, 267, 606, 1858, 6322, 693, 3850, 8436, 547, 2170, 609, 519, 2250, 563, 9616, 281, 901, 1344, 729, 4977, 950, 621, 729, 3370, 267, 855, 666, 1689, 1510, 5469, 269, 7490, 581, 2386, 547, 6166, 782, 3928, 543, 3877, 2047, 609, 519, 3549, 538, 2243, 1354, 4058, 707, 7552, 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 ]

[ 0, 3698, 3803, 26000, 2006, 320, 5560, 807, 8029, 825, 1019, 553, 28121, 1477, 1038, 630, 277, 267, 271, 2567, 262, 325, 1400, 632, 5033, 3570, 3299, 1477, 1038, 24042, 263, 9792, 263, 272, 267, 277, 264, 2567, 262, 29953, 632, 5033, 3570, 3299, 1477, 825, 7684, 1477, 825, 1948, 3455, 11456, 1303, 571, 1100, 546, 20601, 9222, 552, 1654, 694, 522, 546, 807, 1609, 320, 7202, 549, 13121, 13005, 5033, 3570, 267, 1477, 825, 1948, 572, 1138, 522, 12908, 11456, 2256, 2041, 522, 9133, 334, 632, 546, 807, 20527, 11188, 568, 810, 829, 14585, 17243, 522, 9598, 1019, 553, 11188, 3688, 552, 635, 6746, 657, 552, 9133, 657, 1477, 825, 1948, 12549, 320, 1106, 320, 2357, 881, 18372, 694, 522, 546, 807, 1217, 5964, 1609, 320, 7202, 549, 13121, 6746, 657, 2099, 15606, 10652, 334, 476, 9598, 1019, 553, 1477, 825, 11718, 14352, 339, 760, 334, 585, 6746, 657, 25722, 760, 334, 538, 1019, 553, 29096, 3890, 952, 546, 807, 538, 6746, 657, 476, 10142, 825, 1948, 698, 337, 1427, 1941, 320, 522, 9133, 334, 798, 546, 807, 1217, 5964, 10652, 334, 16885, 334, 11718, 1477, 825, 2132, 1985, 263, 10090, 1807, 2437, 1262, 29953, 1045, 531, 18480, 14744, 825, 1948, 325, 684, 23843, 1985, 11188, 1583, 19804, 11718, 5897, 3698, 546, 807, 318, 7116, 25222, 5560, 807, 8029, 825, 952, 546, 807, 27045, 4029, 6769, 1038, 2132, 546, 807, 260, 278, 1477, 825, 3116, 6769, 1038, 2132, 476, 278, 5897, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 1029, 262, 6769, 825, 546, 807, 284, 6358, 2891, 21745, 924, 19804, 546, 807, 798, 544, 17845, 338, 281, 834, 3418, 825, 1820, 6600, 1400, 26000, 2006, 320, 5560, 807, 318, 7116, 25222, 17301, 5560, 807, 4297, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 645, 6324, 839, 727, 568, 16515, 828, 17533, 538, 3204, 687, 540, 18629, 888, 1892, 16515, 828, 17533, 630, 307, 289, 264, 568, 519, 3056, 2014, 540, 2669, 1851, 11763, 3676, 563, 1892, 6736, 3875, 3084, 543, 3486, 8942, 547, 2061, 543, 1852, 19505, 267, 519, 2068, 3788, 513, 2101, 2518, 1857, 1072, 6161, 267, 3226, 538, 1970, 268, 543, 1647, 13867, 2477, 563, 1892, 1677, 28433, 3358, 15324, 543, 1225, 894, 7459, 543, 9072, 267, 2312, 2963, 827, 519, 11411, 543, 3466, 540, 1114, 2010, 540, 19505, 543, 922, 6237, 3892, 568, 2877, 563, 1892, 4475, 267, 713, 2963, 5618, 6663, 547, 7447, 519, 11411, 540, 19505, 1851, 7486, 24308, 2043, 538, 18629, 689, 476, 1960, 271, 547, 476, 1001, 280, 676, 3023, 267, 2085, 1895, 267, 3075, 4187, 4567, 267, 543, 4525, 1210, 1239, 689, 519, 6820, 645, 6324, 523, 540, 8376, 5530, 630, 294, 9720, 264, 476, 1001, 280, 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 ]

[ 0, 5035, 7151, 1384, 825, 3688, 815, 7183, 692, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 29096, 815, 2715, 10926, 825, 1219, 1039, 318, 14403, 4311, 267, 1858, 267, 6221, 2187, 1038, 1582, 29096, 314, 19327, 316, 815, 6221, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 5569, 815, 834, 7078, 281, 2715, 834, 692, 1038, 585, 1883, 267, 1871, 538, 1582, 29096, 29096, 10031, 2018, 5569, 6834, 1883, 1341, 834, 281, 834, 1341, 1193, 263, 7407, 994, 2018, 5569, 6834, 27719, 333, 5016, 1038, 5569, 6834, 834, 348, 5016, 1038, 2132, 5569 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 305, 1116, 10003, 338, 547, 8232, 454, 26397, 11261, 281, 4864, 476, 4905, 267, 476, 1001, 276, 454, 289, 22877, 513, 19121, 609, 513, 476, 278, 4303, 5131, 23632, 563, 25567, 320, 781, 12059, 26647, 24327, 585, 15213, 454, 22873, 6053, 2854, 538, 476, 3707, 271, 267, 22798, 10003, 338, 547, 8232, 568, 513, 1134, 1673, 29545, 1433, 827, 989, 337, 4115, 1272, 1282, 519, 4279, 12870, 267, 543, 5645, 513, 11562, 5896, 5705, 1856, 281, 968, 25567, 320, 779, 12059, 26647, 24327, 585, 15213, 6100, 4340, 547, 519, 4589, 267, 519, 1101, 6560, 729, 519, 2112, 585, 1977, 7115, 689, 4279, 6628, 269, 634, 2034, 6560, 729, 519, 1977, 6406, 2782, 267, 799, 16309, 547, 8190, 519, 9769, 543, 26602, 760, 622, 519, 20665, 269, 634, 3791, 6560, 729, 2921, 1747, 1282, 519, 942, 700, 580, 583, 16210, 543, 14780, 933, 941, 1603, 1107, 519, 4279, 12870, 1107, 950, 519, 1977, 1004, 779, 5132, 538, 741, 2797, 543, 2804, 1062, 729, 1373, 695, 2586, 269, 634, 4853, 3500, 6658, 540, 519, 476, 4350, 271, 338, 729, 4397, 676, 1082, 547, 3136, 22543, 17802, 282, 930, 3609, 24237, 5156, 602, 6683, 2877, 547, 581, 15091, 547, 7485, 519, 2197, 856, 540, 922, 6433, 269, 2368, 9289, 2436, 519, 2136, 2276, 1131, 2611, 968, 1492, 2244, 540, 519, 1863, 6100 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 692, 300, 3464, 269, 8431, 340, 3266, 320, 1500, 513, 838, 698, 515, 26152, 12129, 585, 519, 17869, 548, 19470, 1310, 2259, 269, 2701, 12349, 2185, 543, 1614, 2185, 2195, 6550, 540, 14132, 585, 1269, 274, 269, 4200, 829, 11013, 269, 1215, 1454, 2724, 1705, 1352, 6108, 593, 519, 14132, 585, 519, 838, 698, 515, 26152, 286, 259, 278, 269, 1839, 454, 259, 279, 269, 9262, 259, 280, 269, 7176, 454, 259, 1240, 269, 4817, 12226, 476, 272, 269, 634, 1942, 540, 2185, 543, 1614, 21144, 2195, 6550, 540, 14132, 568, 259, 1240, 269, 4817, 563, 11693, 2676, 8649, 870, 540, 14132, 12349, 815, 476, 275, 543, 476, 274, 270, 275, 628, 476, 1109, 335, 2432, 563, 21798, 540, 14132, 829, 11013, 815, 1269, 274, 269, 4200, 1284, 991, 547, 1265, 875, 1454, 2185, 543, 1614, 21144, 2195, 6550, 540, 14132, 1942, 269, 4855, 519, 1942, 540, 476, 272, 11013, 540, 14132, 269, 476, 272, 11013, 815, 259, 274, 269, 4200, 454, 2171, 666, 2328, 2185, 543, 1614, 21144, 2195, 607, 912, 284, 476, 275, 476, 274, 270, 275, 454, 284, 476, 866, 270, 275, 454, 8340, 519, 1942, 540, 476, 866, 270, 275, 6550, 540, 14132, 563, 272, 11013, 815, 1269, 274, 269, 4200, 5564, 28745, 676, 476, 866, 270, 275, 593, 1312, 5011, 269, 476, 866, 270, 275, 1535, 476, 272, 11013, 815, 476, 866, 270, 275, 1535, 259, 274, 269, 4200, 454, 866, 270, 275, 6550, 815, 259, 1240, 269, 4817, 4935, 519, 1942, 540, 2185, 543, 1614, 21144, 2195, 6550, 540, 14132, 568, 259, 1240, 269, 4817, 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, 258, 26344, 6248, 7726, 5609, 317, 273, 263, 5197, 14870, 264, 524, 846, 322, 263, 17734, 21147, 264, 1341, 5430, 317, 273, 263, 11740, 14870, 264, 3813, 263, 5197, 14870, 2020, 1892, 631, 295, 289, 454, 1892, 962, 1794, 534, 280, 4037, 454, 1103, 5758, 267, 519, 6643, 5941, 28976, 519, 4082, 5609, 317, 273, 263, 5197, 14870, 264, 524, 846, 322, 263, 17734, 21147, 264, 1341, 5430, 317, 273, 263, 11740, 14870, 264, 3813, 263, 5197, 14870, 264, 1210, 519, 8847, 540, 524, 846, 322, 3287, 264, 543, 3813, 3287, 1040, 634, 3803, 16866, 4082, 568, 910, 5913, 3287, 1916, 312, 1794, 534, 280, 4037, 454, 8698, 13613, 476, 3445, 272, 273, 692, 1103, 713, 2243, 267, 594, 6836, 713, 1384, 7562, 317, 273, 263, 5197, 14870, 264, 524, 846, 322, 263, 17734, 21147, 264, 1341, 5430, 317, 273, 263, 11740, 14870, 264, 3813, 263, 5197, 14870, 1070, 1141, 524, 846, 322, 3287, 264, 815, 476, 272, 4882, 514, 3287, 264, 543, 3813, 3287, 264, 815, 476, 272, 270, 6523, 3287, 2020, 1606, 514, 317, 273, 263, 5197, 14870, 264, 815, 5609, 317, 273, 3287, 264, 543, 5430, 317, 273, 3287, 264, 815, 5430, 317, 273, 3287, 2020, 268, 763, 5609, 317, 273, 543, 519, 476, 272, 4882, 514, 3287, 264, 666, 2193, 856, 2059, 609, 519, 5430, 317, 273, 543, 519, 476, 272, 270, 6523, 3287, 2020, 11997, 267, 594, 993, 2451, 609, 5609, 3287, 7565, 17734, 21147, 264, 1341, 5430, 3287, 7565, 5197, 14870, 2020, 2971, 5900, 778, 906, 692, 1892, 24897, 1744, 582, 476, 1001, 280, 268, 4962, 268, 1704, 693, 476, 278, 269, 2190, 269, 3393, 6751, 26666, 454, 2537, 269, 277, 22995, 5788, 14358, 281, 476, 6924, 454, 7445, 322, 2675, 263, 17734, 21147, 264, 815, 1422, 13320, 346, 272, 7346, 7562, 263, 17734, 21147, 14587, 815, 1422, 13320, 346, 272, 7346, 7562, 263, 17734, 9385, 6523, 12757, 23180, 6523, 263, 17734, 9385, 7562, 12757, 3686, 815, 1422, 13320, 346, 272, 2410, 10559, 6523, 12757, 32556, 7445, 5913, 263, 5197, 14870, 264, 815, 1422, 13320, 346, 272, 7346, 6523, 263, 5197, 14870, 14587, 815, 1422, 13320, 346, 272, 7346, 6523, 263, 5197, 9385, 6523, 12757, 348, 1341, 1422, 7562, 263, 5197, 9385, 7562, 12757, 3686, 815, 1422, 13320, 346, 272, 2410, 10559, 6523, 12757, 32556, 13718, 7445, 13320, 3189, 7562, 317, 273, 12757, 12453, 10559, 6523, 12757, 3686, 1341, 1422, 13320, 3189, 6523, 317, 273, 12757, 12453, 10559, 6523, 12757, 32556, 4754, 596, 9096, 689, 1934, 2496, 1012, 476, 272, 269, 1548, 568, 519, 1871, 540, 5609, 317, 273, 263, 5197, 14870, 264, 2496, 763, 1871, 540, 5609, 317, 273, 263, 5197, 14870, 264, 568, 3160, 547, 476, 272, 780, 1012, 476, 273, 269, 1548, 568, 519, 1871, 540, 524, 846, 322, 263, 17734, 21147, 264, 2496, 763, 1871, 540, 524, 846, 322, 263, 17734, 21147, 264, 568, 3768, 18249, 267, 607, 519, 524, 846, 322, 656, 1599, 568, 3768, 18249, 693, 476, 17734, 21147, 780, 1012, 476, 274, 269, 1548, 568, 519, 1871, 540, 5430, 317, 273, 263, 11740, 14870, 264, 2496, 763, 1871, 540, 5430, 317, 273, 263, 11740, 14870, 264, 568, 3160, 547, 476, 272, 780, 1012, 476, 275, 269, 1548, 568, 519, 1871, 540, 3813, 263, 5197, 14870, 264, 2496, 763, 1871, 540, 3813, 263, 5197, 14870, 264, 568, 3160, 547, 910, 272, 780, 1012, 476, 276, 269, 1548, 568, 519, 2949, 1871, 540, 519, 25066, 4082, 2496, 763, 2949, 1871, 540, 519, 25066, 4082, 568, 476, 272, 1341, 11196, 272, 264, 1341, 476, 272, 1341, 11196, 272, 264, 815, 476, 271, 780, 1892, 4937, 4569, 454, 28806, 454, 1556, 454, 21366, 454, 272, 298, 454, 1892, 4937, 4569, 454, 28806, 454, 272, 454, 21366, 454, 274, 298, 454, 1892, 4937, 4569, 454, 28806, 454, 273, 454, 21366, 454, 4817, 272, 454, 1892, 4937, 4569, 454, 28806, 454, 272, 454, 21366, 454, 278, 866, 454, 1892, 20145, 543, 15332, 14581, 6435, 454, 28806, 454, 274, 454, 21366, 454, 29876, 454, 1892, 4937, 4569, 454, 28806, 454, 274, 454, 21366, 454, 273, 298, 454, 1892, 4937, 4569, 454, 28806, 454, 275, 454, 21366, 454, 274, 298, 454, 1892, 4937, 4569, 454, 28806, 454, 274, 454, 21366, 454, 279, 5780, 454, 1892, 4937, 4569, 454, 28806, 454, 273, 454, 21366, 454, 278, 1691, 454, 1892, 4937, 4569, 454, 28806, 454, 277, 454, 21366, 454, 273, 298 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 2913, 561, 581, 519, 5817, 1592, 585, 13936, 519, 2609, 563, 258, 23990, 3597, 10031, 258, 567, 2132, 561, 314, 271, 2639, 16482, 258, 23990, 2385, 9638, 2187, 258, 567, 952, 533, 2652, 476, 271, 912, 258, 11434, 2132, 7183, 454, 258, 567, 8640, 533, 568, 9642, 912, 258, 11434, 2132, 630, 335, 268, 272, 264, 12262, 476, 273, 454, 258, 567, 3116, 912, 258, 11434, 2132, 630, 335, 268, 273, 264, 12262, 476, 273, 454, 16482, 258, 23990, 2451, 9638, 2187, 258, 567, 2132, 476, 273, 335, 266, 272, 454, 16482, 258, 23990, 1318, 9638, 2187, 258, 567, 2132, 476, 273, 335, 1341, 476, 273, 454, 16482, 258, 23990, 568, 318, 29566, 9638, 2187, 258, 567, 2451, 815, 476, 273, 335, 1341, 476, 272, 454, 258, 567, 1318, 815, 476, 273, 335, 1341, 476, 273, 454, 258, 567, 2119, 912, 258, 11434, 952, 561, 314, 3847, 316, 610, 561, 314, 2431, 14158, 258, 19930, 678, 2741, 815, 6936, 454, 258, 567, 4849, 12039, 13286, 912, 258, 11434, 678, 2741, 815, 8771, 454, 258, 567, 3116, 912, 258, 11434, 678, 2741, 815, 8771, 454, 258, 567, 2132, 678, 2741, 454, 16482, 258, 23990, 568, 318, 10174, 9638, 2187, 258, 567, 2132, 533, 2652, 476, 271, 692 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 1770, 11687, 454, 5228, 813, 6230, 617, 1564, 1104, 15080, 692, 5035, 9137, 14818, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 23288, 825, 4530, 4147, 547, 1449, 519, 7180, 540, 519, 9137, 1362, 454, 825, 15981, 692, 825, 1219, 1305, 10000, 4311, 2187, 1038, 23288, 1038, 5590, 909, 1505, 602, 786, 2196, 1354, 1169, 4530, 454, 1038, 23288, 1038, 1582, 269, 2908, 25606, 815, 15080, 3488, 11085, 17395, 4959, 288, 3722, 543, 570, 17751, 299, 3036, 700, 3036, 2894, 313, 12887, 11764, 614, 19141, 14662, 267, 4182, 538, 5046, 268, 866, 32075, 338, 19018, 622, 1764, 593, 3979, 31787, 12887, 1708, 271, 268, 6021, 268, 1321, 307, 4905, 281, 736, 281, 876, 313, 12887, 10059, 2517, 539, 819, 6983, 25699, 2593, 270, 12887, 10059, 2517, 4178, 269, 5500, 9392, 2593, 270, 14835, 11320, 843, 18394, 14428, 582, 657, 23343, 4727, 268, 648, 12455, 2914, 5801, 15581, 11258, 12887, 21158, 543, 18388, 17210, 825, 1219, 1449, 318, 27349, 4311, 2187, 1038, 23288, 1038, 4530, 547, 2638, 5137, 540, 1007, 2376, 3236, 454, 1038, 23288, 1038, 1582, 20596, 12148, 263, 529, 27349, 4311, 269, 2908, 25606, 267, 9209, 2873, 4917, 1363 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4139, 19032, 540, 15302, 630, 2975, 291, 264, 568, 519, 2518, 3044, 585, 8193, 540, 3676, 543, 1072, 2175, 267, 519, 9479, 585, 799, 616, 4909, 538, 519, 8989, 540, 2068, 3466, 543, 7194, 269, 11916, 8193, 540, 5409, 3273, 6856, 7637, 8598, 13315, 519, 8446, 540, 2043, 609, 22686, 5409, 3273, 6856, 7637, 8598, 630, 293, 295, 1040, 769, 3620, 2214, 1388, 8193, 3765, 5035, 5874, 666, 27298, 519, 2702, 547, 8308, 2697, 543, 6895, 3676, 998, 5907, 1072, 5638, 563, 2414, 1224, 713, 2376, 538, 2407, 596, 786, 991, 547, 1118, 513, 8569, 454, 303, 21332, 835, 6066, 1569, 281, 10907, 27854, 1299, 9608, 281, 476, 2190, 5662, 2228, 1569, 290, 2734, 622, 681, 22936, 28968, 281, 476, 2190, 5662, 2228, 1569, 454, 3080, 6066, 1569, 3902, 9623, 454, 268, 1280, 4081, 610, 2123, 1382, 946, 267, 2824, 1412, 10907, 27854, 543, 9608, 7055, 268, 1280, 9746, 681, 22936, 946, 267, 2824, 1412, 290, 2734, 622, 681, 22936, 28968, 7055, 29771, 281, 29771, 547, 9839, 267, 25016, 543, 19449, 27218, 454, 2704, 2819, 513, 1820, 9408, 686, 828, 286, 28787, 2228, 1569, 454, 2704, 2819, 606, 2228, 9408, 686, 828, 286, 6178, 538, 454, 8802, 3563, 281, 8073, 606, 2272, 454, 9743, 6627, 7457, 281, 6178, 538, 547, 3163, 17445, 454, 268, 29175, 730, 9067, 29952, 5416, 264, 543, 22686, 5409, 3273, 6856, 1961, 8926, 538, 519, 18337, 1416, 1770, 281, 1063, 590, 1097, 12848, 543, 932, 776, 321, 4134, 5861, 4802, 9315, 2723, 269, 476, 1001, 279, 282, 476, 6078, 281, 476, 274, 4281, 268, 29575, 454, 268, 1215, 1134, 666, 22686, 5409, 3273, 6856, 1961, 8926, 581, 4857, 538, 606, 5907, 1072, 2594, 6538, 27085, 28058, 25731, 2723, 269, 476, 1001, 279, 282, 476, 1015, 281, 476, 14917, 278, 454, 268, 12259, 658, 5409, 3273, 6856, 7637, 8598, 281, 9687, 1702, 585, 8888, 13261, 3631, 540, 1416, 12991, 520, 4860, 9315, 2723, 269, 476, 1708, 271, 282, 476, 1704, 281, 476, 11740, 268, 4391, 278, 454, 10907, 1061, 539, 281, 5181, 476, 1556, 267, 476, 1708, 273, 454, 3725, 18727, 281, 5181, 476, 278, 267, 476, 1708, 273, 454, 15100, 476, 1708, 273, 8241, 543, 1715, 10215, 5980, 540, 9315, 13519, 543, 18897, 25714, 31048, 976, 630, 3198, 313, 17092, 4811, 264, 543, 519, 9315, 13519, 5980, 540, 5245, 543, 1715, 10215, 630, 5425, 3198, 313, 1040, 15618, 676, 29021, 645, 17679, 269, 2353, 2924, 11603, 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 ]

[ 0, 9223, 281, 1215, 798, 596, 4894, 1212, 1162, 689, 513, 25099, 888, 271, 269, 2422, 513, 7452, 518, 563, 272, 269, 2422, 606, 4401, 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 ]

[ 0, 299, 714, 4280, 538, 3163, 1299, 9119, 30125, 5788, 476, 280, 3275, 3516, 692, 258, 634, 5373, 2982, 513, 1268, 945, 267, 4358, 689, 1964, 693, 519, 1283, 540, 513, 29384, 267, 23638, 1524, 693, 519, 1439, 540, 513, 18052, 267, 13847, 621, 1862, 2496, 763, 5373, 2982, 513, 1268, 945, 267, 4358, 689, 1964, 693, 519, 1283, 540, 513, 29384, 267, 23638, 1524, 693, 519, 1439, 540, 513, 18052, 267, 13847, 621, 267, 543, 8813, 883, 519, 1216, 2630, 269, 1703, 616, 1079, 10092, 676, 799, 519, 1268, 666, 4283, 519, 1216, 269, 14597, 646, 13788, 519, 1216, 693, 513, 3432, 540, 476, 1240, 269, 276, 544, 4882, 3842, 2619, 476, 272, 269, 1215, 3728, 568, 646, 3001, 593, 2619, 476, 273, 950, 646, 13847, 519, 18052, 693, 513, 4463, 540, 476, 274, 269, 1691, 544, 1657, 519, 1216, 286, 22695, 648, 519, 2360, 540, 2011, 4187, 780, 3725, 23428, 454, 1892, 715, 5425, 454, 299, 341, 476, 278, 454, 280, 3275, 3516, 692, 763, 5373, 1522, 581, 1271, 267, 855, 1510, 621, 594, 3513, 530, 4526, 602, 646, 13788, 519, 1216, 693, 476, 1240, 269, 276, 544, 4882, 7488, 540, 519, 2619, 646, 3217, 630, 2421, 5726, 540, 1648, 6393, 2252, 596, 2811, 6998, 827, 1010, 3432, 607, 646, 13847, 519, 18052, 267, 1287, 594, 7058, 649, 9364, 798, 713, 1384, 19417, 1657, 1216, 554, 815, 642, 11054, 1315, 476, 273, 326, 815, 630, 1240, 269, 276, 332, 4882, 264, 11054, 1315, 476, 866, 269, 277, 332, 4882, 11054, 815, 476, 1704, 269, 276, 544, 692, 663, 865, 693, 513, 4463, 540, 476, 274, 269, 1691, 544, 267, 649, 9364, 723, 692, 309, 815, 20734, 273, 724, 264, 815, 20734, 263, 273, 2608, 476, 280, 269, 279, 332, 4882, 11054, 2608, 630, 1704, 269, 276, 910, 476, 274, 269, 1691, 264, 332, 264, 815, 476, 1626, 269, 278, 544, 4882, 31775, 482 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7059, 24154, 1188, 1115, 30415, 2187, 825, 1948, 3503, 707, 3009, 1934, 563, 453, 331, 284, 4289, 4590, 453, 4148, 698, 25716, 454, 453, 6783, 284, 9131, 263, 3299, 10807, 12887, 314, 3299, 11172, 12887, 346, 12887, 348, 23300, 14851, 30415, 314, 271, 316, 538, 5044, 543, 711, 5044, 28827, 30415, 314, 271, 8079, 260, 273, 2525, 271, 2187, 453, 567, 2132, 8771, 454, 22610, 1775, 538, 2039, 12759, 30415, 15892, 453, 14851, 5569, 5157, 316, 538, 5044, 912, 4848, 453, 8161, 284, 6783, 28827, 30415, 5157, 7481, 4848, 14851, 263, 8161, 260, 273, 2525, 271, 2187, 15235, 453, 331, 6910, 30415, 5157, 7481, 4848, 28432, 912, 15235, 453, 18431, 284, 331, 21014, 4590, 15235, 13537, 10857, 770, 994, 15235, 14851, 263, 6783, 28827, 10857, 770, 11924, 272, 2525, 8161, 2187, 20930, 453, 4148, 698, 18989, 454, 15235, 28432, 912, 20930, 16596, 8771, 454, 14851, 12759, 10857, 15892, 453, 16596, 8771, 454, 825, 2132, 9206, 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 ]

[ 0, 292, 11915, 10789, 7726, 692, 16932, 10789, 454, 27665, 6831, 22511, 1133, 817, 11220, 454, 2675, 7359, 476, 272, 4303, 454, 27665, 318, 25270, 16062, 531, 2280, 8096, 276, 692, 1692, 798, 594, 3313, 519, 9386, 540, 519, 1899, 8429, 998, 11196, 274, 267, 275, 264, 543, 630, 277, 267, 273, 6393, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 763, 540, 9386, 540, 513, 1899, 267, 717, 267, 568, 2016, 676, 519, 4542, 1109, 4219, 538, 586, 936, 1689, 538, 1535, 267, 1775, 4318, 269, 717, 815, 1689, 538, 586, 270, 1689, 1535, 780, 4219, 538, 586, 815, 476, 273, 268, 476, 275, 692, 4219, 538, 1535, 815, 476, 277, 910, 910, 274, 692, 294, 815, 630, 273, 268, 275, 8358, 630, 277, 910, 910, 274, 2020, 294, 815, 476, 273, 270, 630, 277, 266, 274, 2020, 294, 815, 476, 273, 270, 280, 692, 21446, 8271, 596, 666, 10208, 519, 2034, 6292, 540, 10974, 689, 519, 519, 1101, 780, 4219, 538, 586, 815, 476, 275, 910, 476, 273, 692, 4219, 538, 1535, 815, 910, 274, 910, 277, 692, 294, 815, 630, 275, 268, 476, 273, 8358, 11196, 274, 268, 277, 2020, 294, 815, 910, 273, 25773, 280, 692, 294, 815, 476, 273, 270, 280, 780, 28775, 713, 2337, 256, 1411, 666, 2307, 1022, 2243, 952, 972, 568, 1022, 3390, 780, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 296, 1810, 1405, 1589, 602, 713, 568, 519, 2953, 2626, 1317, 621, 3081, 910, 273, 270, 280, 593, 519, 4267, 3296, 540, 519, 3561, 780, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 310, 7159, 267, 594, 3190, 539, 909, 519, 2243, 780, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 31800, 1695, 594, 723, 2938, 519, 12161, 692, 4219, 538, 586, 815, 476, 273, 268, 476, 275, 815, 910, 273, 692, 4219, 538, 1535, 815, 476, 277, 910, 910, 274, 815, 476, 280, 692, 294, 815, 910, 273, 270, 280, 692, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 21446, 8271, 596, 666, 10208, 519, 2034, 6292, 540, 10974, 689, 519, 519, 1101, 780, 4219, 538, 586, 815, 476, 275, 910, 476, 273, 692, 4219, 538, 1535, 815, 910, 274, 910, 476, 277, 692, 294, 815, 630, 275, 268, 476, 273, 8358, 11196, 274, 268, 277, 2020, 294, 815, 476, 273, 25773, 280, 692, 294, 815, 910, 273, 270, 280, 780, 28989, 585, 519, 8488, 543, 585, 519, 4636, 2626, 780, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 628, 1846, 21453, 692, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 14188, 596, 1932, 585, 707, 3461, 543, 1620, 780, 9802, 476, 1240, 628, 267, 476, 1001, 276, 692, 2483, 9802, 476, 1240, 628, 267, 476, 1001, 276, 454, 2483, 9802, 476, 1240, 628, 267, 476, 1001, 276, 454, 22261, 476, 2190, 628, 267, 476, 1001, 278, 454, 13765, 6831, 22511 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8340, 519, 31951, 1071, 268, 24002, 540, 2798, 4171, 8701, 10974, 616, 2433, 630, 272, 267, 5197, 4113, 264, 910, 9119, 543, 10803, 454, 8340, 519, 31951, 1071, 268, 24002, 540, 2798, 4171, 8701, 10974, 616, 10778, 16868, 267, 16564, 264, 815, 630, 272, 267, 476, 5197, 4113, 994, 8794, 1535, 815, 678, 5430, 16564, 543, 586, 815, 678, 5609, 16564, 267, 1141, 630, 343, 267, 586, 264, 616, 519, 2838, 7047, 14198, 1071, 268, 24002, 267, 649, 1205, 454, 343, 815, 476, 272, 6262, 657, 476, 5197, 4113, 264, 543, 586, 815, 476, 272, 4433, 514, 476, 5197, 4113, 994, 30043, 1535, 815, 1107, 272, 543, 586, 815, 476, 271, 454, 30043, 519, 2838, 7047, 14198, 1071, 268, 24002, 616, 630, 1700, 272, 267, 476, 271, 1916, 3519, 1061, 281, 21069, 3213, 268, 15453, 3590, 454, 3674, 972, 606, 5470, 538, 713, 2243, 610, 3070, 888, 25585, 1711, 513, 9043, 593, 32599, 8403, 320, 2593, 888, 272, 269, 22252, 596, 827, 942, 3349, 540, 981, 563, 273, 269, 22252, 596, 827, 1007, 2243, 4574, 563, 274, 269, 1715, 3381, 18862, 1344, 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 ]

[ 0, 763, 808, 990, 1014, 11275, 14459, 17648, 513, 1167, 13001, 3697, 22762, 3740, 12122, 12462, 332, 24599, 617, 4593, 14615, 19962, 547, 519, 10770, 4527, 540, 513, 1062, 540, 20842, 574, 3578, 531, 14768, 21883, 538, 513, 729, 615, 13001, 3333, 9464, 4320, 13988, 609, 267, 610, 2282, 267, 519, 6419, 20337, 658, 7077, 269, 589, 30576, 4526, 5736, 12170, 2203, 540, 519, 11275, 617, 4593, 568, 19034, 547, 6152, 6419, 2361, 7403, 5833, 1282, 519, 9947, 334, 14361, 781, 1101, 476, 2190, 25057, 269, 634, 1655, 17501, 630, 5976, 514, 476, 1789, 808, 990, 1014, 2234, 4512, 264, 11275, 617, 4593, 2203, 568, 6353, 676, 606, 6418, 543, 9018, 8953, 540, 476, 278, 269, 279, 543, 476, 7906, 269, 275, 808, 990, 1014, 2234, 4512, 267, 513, 3368, 13001, 628, 32169, 540, 476, 274, 269, 277, 808, 990, 1014, 2234, 4512, 267, 609, 513, 2627, 3339, 693, 476, 280, 269, 274, 5232, 689, 519, 808, 990, 15572, 545, 15393, 543, 476, 14225, 269, 273, 5232, 1062, 476, 274, 7178, 29978, 269, 1284, 7110, 519, 11275, 617, 4593, 2203, 609, 513, 2034, 1699, 1062, 267, 849, 16876, 547, 519, 6419, 20337, 658, 7077, 267, 9967, 540, 21286, 24293, 14768, 602, 27229, 1198, 519, 4483, 540, 16070, 11610, 547, 21286, 13576, 11919, 269, 14190, 532, 585, 8390, 540, 519, 11275, 617, 4593, 781, 20842, 574, 3578, 531, 543, 24293, 1699, 1949, 689, 835, 476, 7871, 13001, 1485, 10739, 547, 519, 1985, 267, 649, 1020, 606, 4994, 540, 11275, 2214, 8879, 2534, 602, 949, 581, 3730, 538, 7664, 540, 7648, 538, 28050, 7394, 7422, 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, 290, 1328, 692, 19370, 476, 4817, 269, 9717, 1079, 12673, 267, 1265, 519, 5021, 16937, 692, 11405, 476, 29214, 3199, 279, 276, 692, 8138, 4784, 593, 476, 279, 7325, 476, 1708, 271, 693, 476, 1626, 281, 5392, 454, 1607, 3070, 568, 19526, 269, 1677, 2070, 713, 3070, 267, 596, 991, 547, 1683, 513, 3070, 540, 519, 1482, 2450, 610, 4130, 780, 14818, 2672, 924, 692, 14818, 21073, 8943, 18452, 543, 19243, 454, 272, 5231, 674, 841, 454, 338, 272, 815, 1496, 272, 476, 273, 476, 274, 476, 275, 476, 276, 22049, 521, 273, 815, 1496, 276, 476, 275, 476, 274, 476, 273, 22049, 521, 274, 6831, 8091, 815, 1496, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 275, 476, 274, 476, 273, 22049, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 20479, 4661, 834, 338, 274, 257, 630, 663, 6148, 1866, 264, 711, 8655, 1282, 1289, 547, 834, 1478, 331, 777, 2668, 18438, 538, 4530, 272, 630, 1467, 476, 275, 264, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 273, 5231, 674, 841, 454, 338, 272, 815, 1496, 272, 476, 271, 476, 272, 476, 278, 476, 278, 476, 278, 476, 277, 22049, 521, 273, 815, 1496, 272, 476, 271, 476, 272, 476, 271, 476, 272, 22049, 521, 274, 6831, 8091, 815, 1496, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 278, 476, 278, 476, 278, 476, 277, 22049, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 20479, 4661, 834, 338, 274, 257, 630, 663, 6148, 1866, 264, 711, 8655, 1282, 1289, 547, 834, 1478, 331, 777, 2668, 18438, 538, 4530, 273, 630, 1467, 476, 275, 264, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 274, 5231, 674, 841, 454, 338, 272, 815, 1496, 274, 476, 272, 476, 275, 476, 272, 476, 276, 476, 280, 476, 273, 476, 277, 476, 276, 476, 274, 476, 276, 22049, 521, 273, 815, 1496, 280, 476, 273, 476, 277, 476, 276, 22049, 521, 274, 6831, 8091, 815, 1496, 274, 476, 272, 476, 275, 476, 272, 476, 276, 476, 280, 476, 273, 476, 277, 476, 276, 476, 274, 476, 276, 22049, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 20479, 4661, 834, 338, 274, 257, 630, 663, 6148, 1866, 264, 711, 8655, 1282, 1289, 547, 834, 1478, 331, 777, 2668, 18438, 538, 4530, 274, 630, 1467, 476, 275, 264, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 275, 5231, 674, 841, 454, 338, 272, 815, 476, 272, 281, 1911, 282, 521, 273, 815, 1496, 2004, 476, 7906, 22049, 521, 274, 6831, 8091, 815, 521, 272, 282, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 20479, 4661, 834, 338, 274, 257, 630, 663, 6148, 1866, 264, 711, 8655, 1282, 1289, 547, 834, 1478, 331, 777, 2668, 18438, 538, 4530, 275, 630, 1467, 476, 275, 264, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 276, 5231, 674, 841, 454, 338, 272, 815, 476, 3445, 281, 1015, 281, 1220, 282, 521, 273, 815, 476, 1015, 281, 1015, 281, 6344, 282, 521, 274, 6831, 8091, 815, 476, 1015, 281, 1015, 281, 1220, 282, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 11723, 20479, 4661, 834, 338, 274, 257, 630, 663, 6148, 1866, 264, 711, 8655, 1282, 1289, 547, 834, 1478, 331, 777, 2668, 18438, 538, 4530, 276, 630, 1467, 476, 275, 264, 7682, 263, 1047, 23974, 263, 1478, 331, 777, 4433, 272, 29679, 273, 1070, 338, 274, 6831, 8091, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 292, 7032, 984, 20393, 2742, 8731, 592, 6242, 8731, 592, 6242, 7186, 306, 2925, 25817, 15661, 18614, 2443, 7186, 306, 2925, 25817, 568, 513, 2707, 585, 22265, 5726, 1344, 593, 811, 982, 476, 2004, 267, 1822, 2371, 267, 2831, 543, 8733, 862, 2863, 885, 540, 519, 772, 2529, 543, 4516, 269, 7186, 306, 2925, 25817, 2488, 538, 3829, 1344, 593, 4686, 543, 13155, 2249, 267, 855, 2882, 1455, 2371, 543, 2831, 1932, 269, 7186, 306, 2925, 25817, 568, 513, 1587, 540, 7186, 306, 2925, 538, 5698, 609, 519, 7849, 11595, 8416, 563, 296, 2316, 306, 18614, 2443, 594, 2316, 306, 630, 1492, 21091, 12525, 21978, 6176, 3590, 264, 568, 513, 2707, 585, 22265, 3454, 21978, 1344, 593, 2371, 267, 2831, 267, 13271, 267, 543, 17973, 540, 3345, 3013, 543, 519, 1158, 9950, 7032, 984, 20393, 2742, 8731, 592, 6242, 267, 4122, 1572, 519, 16321, 743, 539, 19806, 558, 267, 568, 513, 2249, 540, 15195, 1660, 1088, 267, 513, 30114, 23677, 538, 519, 1920, 5742, 13160, 269, 898, 568, 5065, 547, 9456, 3345, 3013, 267, 1141, 621, 568, 2808, 13155, 538, 1312, 4516, 543, 519, 2136, 2276, 269, 901, 2249, 568, 1634, 689, 519, 595, 3784, 1633, 267, 11882, 267, 853, 269, 18039, 267, 543, 17906, 5211, 8963, 1137, 269, 661, 7032, 984, 20393, 2742, 8731, 592, 6242, 568, 513, 10480, 518, 958, 29510, 2249, 538, 1312, 519, 2136, 2276, 543, 4516, 269, 898, 568, 7600, 1227, 29510, 593, 519, 594, 30002, 4414, 5903, 269, 661, 7032, 984, 20393, 2742, 8731, 592, 6242, 568, 2693, 970, 597, 335, 730, 689, 12309, 1813, 547, 546, 1042, 3101, 538, 519, 4563, 5211, 543, 519, 4367, 540, 519, 29588, 1660, 1088, 538, 519, 24354, 5211, 269, 1717, 267, 31607, 5095, 616, 1336, 2066, 8235, 661, 4471, 538, 14411, 267, 4516, 8963, 1137, 563, 293, 16703, 7913, 9012, 7732, 2443, 634, 772, 2529, 269, 12551, 543, 13812, 6796, 779, 2817, 7913, 7732, 568, 513, 3406, 762, 4015, 540, 5697, 2592, 267, 3140, 13742, 267, 8301, 24056, 267, 12326, 267, 543, 3381, 563, 17359, 8745, 281, 16515, 828, 743, 539, 19806, 558, 630, 292, 7032, 984, 20393, 2742, 8731, 592, 6242, 8731, 592, 6242, 994, 8489, 1336, 281, 772, 2529, 6993, 269, 630, 3201, 282, 763, 1863, 1922, 27172, 3914, 540, 519, 17906, 681, 269, 689, 519, 3490, 540, 14355, 12456, 19654, 547, 519, 1394, 31662, 540, 17292, 19213, 1763, 969, 7546, 1496, 12671, 476, 1321, 681, 300, 630, 866, 5998, 13580, 543, 519, 2539, 476, 276, 681, 300, 1496, 279, 5998, 316, 540, 782, 29815, 2456, 547, 713, 3914, 538, 2051, 6975, 543, 5487, 31335, 23014, 15328, 1421, 1294, 476, 1704, 269, 5952, 5416, 4297 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17951, 330, 528, 20242, 568, 606, 11999, 14418, 11454, 1950, 4092, 538, 7187, 25591, 269, 898, 729, 8385, 3710, 538, 519, 1101, 3368, 540, 519, 476, 1321, 628, 2540, 607, 513, 9699, 11454, 269, 24619, 2066, 811, 982, 476, 6110, 14143, 267, 4911, 330, 528, 20242, 568, 1767, 547, 581, 519, 4102, 3909, 15224, 538, 519, 1158, 563, 1432, 568, 2027, 827, 4911, 330, 528, 20242, 888, 17951, 330, 528, 20242, 568, 519, 1034, 4583, 3504, 11454, 3135, 538, 25591, 269, 2060, 922, 476, 276, 2603, 639, 6438, 20610, 8375, 476, 4792, 7397, 883, 519, 6607, 267, 621, 568, 606, 25713, 15564, 25378, 8289, 269, 28210, 538, 13961, 655, 1234, 777, 267, 713, 20648, 2622, 11595, 3135, 729, 2899, 519, 4102, 840, 11897, 12009, 2749, 538, 519, 1158, 563, 3674, 519, 4911, 330, 528, 20242, 513, 18599, 654, 1180, 619, 540, 519, 2622, 888, 299, 11343, 693, 519, 2295, 540, 519, 476, 6110, 5998, 11054, 4911, 330, 528, 16329, 1670, 5244, 267, 4911, 330, 528, 20242, 568, 513, 3090, 540, 25591, 563, 8005, 568, 519, 29659, 2696, 538, 519, 1158, 888, 763, 9030, 25976, 22087, 2006, 629, 13757, 342, 18081, 630, 309, 880, 20692, 264, 568, 1671, 15590, 1441, 538, 519, 968, 2304, 13183, 320, 1744, 27011, 892, 14302, 267, 519, 18163, 15446, 545, 3207, 593, 519, 12808, 1583, 25871, 1520, 328, 590, 1127, 3873, 563, 1607, 2376, 568, 2854, 899, 513, 8261, 610, 3391, 1504, 563, 347, 294, 1478, 940, 1560, 1475, 9199, 341, 4545, 648, 10424, 1920, 2008, 1432, 568, 519, 4102, 1747, 540, 10847, 538, 519, 1158, 888, 1805, 269, 8834, 779, 29092, 3821, 538, 28912, 4975, 267, 519, 4102, 5939, 538, 519, 1158, 563, 347, 24687, 1475, 299, 17999, 20096, 3909, 2679, 538, 519, 1158, 8198, 1432, 1281, 4911, 330, 528, 20242, 21843, 888, 306, 312, 11586, 5357, 26113, 269, 4911, 330, 528, 20242, 568, 513, 20538, 18187, 320, 540, 519, 7122, 538, 6149, 543, 4564, 606, 3618, 569, 2203, 540, 519, 17184, 1158, 269, 634, 3844, 13486, 14380, 689, 519, 4099, 540, 519, 15224, 29544, 519, 26704, 7823, 267, 8585, 340, 267, 13883, 693, 519, 4099, 540, 519, 7122, 269, 4706, 2947, 20610, 5330, 547, 519, 19589, 540, 8585, 340, 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 ]

[ 0, 21900, 21106, 267, 11247, 543, 1257, 1397, 1018, 6191, 798, 543, 875, 789, 960, 269, 17972, 1808, 2930, 6863, 267, 543, 2882, 513, 4052, 4305, 547, 1118, 513, 2241, 267, 2324, 3684, 269, 12698, 476, 276, 268, 280, 563, 347, 9349, 10573, 290, 3757, 525, 630, 19136, 26682, 10245, 347, 12041, 10573, 21837, 3794, 1478, 623, 10154, 3794, 1478, 2008, 347, 21812, 10573, 27319, 11197, 9012, 2008, 31871, 540, 9664, 10573, 1789, 2008, 8923, 8074, 20620, 265, 1284, 6133, 1152, 21832, 1433, 543, 798, 10691, 6133, 2025, 610, 1031, 2835, 563, 265, 634, 1433, 2592, 543, 5758, 10268, 949, 581, 540, 513, 1114, 7160, 610, 11006, 540, 519, 1482, 2140, 563, 265, 3883, 8039, 616, 711, 3773, 676, 3883, 3849, 6767, 563, 265, 12313, 666, 1689, 1813, 547, 1065, 11781, 532, 267, 3902, 1689, 676, 17404, 1315, 2733, 12460, 563, 9349, 3849, 6767, 630, 4178, 269, 1504, 5417, 320, 2593, 264, 568, 513, 30856, 2228, 1433, 4558, 538, 9513, 2835, 2228, 2066, 3127, 693, 519, 1034, 8013, 5777, 269, 3883, 3849, 6767, 23619, 5708, 267, 1870, 267, 1875, 5708, 267, 3332, 267, 3642, 18501, 267, 2564, 267, 4702, 267, 2780, 1433, 267, 3092, 269, 634, 2835, 616, 9447, 2066, 3127, 17676, 540, 1942, 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 ]

[ 0, 9741, 25381, 4941, 547, 27106, 930, 8949, 17154, 14254, 544, 4428, 1231, 585, 1010, 1920, 256, 1261, 10356, 782, 519, 5820, 281, 476, 275, 11680, 540, 27046, 7912, 267, 476, 273, 11680, 540, 30288, 5144, 267, 543, 476, 272, 7484, 540, 4195, 30207, 269, 1306, 646, 3323, 547, 3575, 873, 1927, 267, 646, 7691, 646, 4769, 1405, 917, 875, 1082, 544, 4428, 1231, 646, 1223, 1118, 609, 1346, 9424, 780, 289, 11035, 4280, 1010, 11078, 267, 8861, 267, 945, 729, 4974, 2979, 543, 2257, 267, 834, 27880, 267, 594, 723, 476, 275, 11680, 540, 27046, 7912, 267, 476, 273, 11680, 540, 30288, 5144, 267, 543, 476, 272, 7484, 540, 30207, 269, 1403, 1142, 544, 4428, 514, 2115, 3368, 513, 7484, 540, 27046, 7912, 267, 513, 10116, 7484, 540, 30288, 5144, 267, 543, 606, 21632, 7484, 540, 30207, 267, 875, 1082, 544, 4428, 1231, 666, 594, 1118, 12482, 27880, 2219, 585, 513, 4090, 543, 1767, 267, 834, 11039, 267, 2370, 7015, 267, 1577, 781, 1294, 799, 12146, 786, 2196, 856, 1101, 2094, 789, 2811, 782, 2877, 585, 1169, 544, 4428, 514, 269, 898, 5654, 899, 621, 3513, 581, 519, 30207, 267, 607, 649, 1152, 723, 2614, 585, 5216, 13980, 3010, 2750, 322, 1243, 569, 267, 25381, 7229, 2417, 543, 1336, 856, 789, 1223, 1118, 476, 3953, 26345, 544, 4428, 1231, 256, 1358, 6404, 267, 1085, 17274, 539, 267, 543, 4904, 519, 11256, 26745, 267, 11093, 621, 883, 519, 840, 515, 730, 14089, 269, 5384, 5293, 267, 543, 4166, 519, 10051, 729, 4904, 609, 519, 17175, 24710, 540, 28448, 19323, 13000, 780, 4913, 267, 950, 789, 8118, 519, 14089, 267, 741, 12271, 521, 1678, 282, 1945, 4682, 4636, 269, 2353, 519, 544, 4428, 1231, 941, 6366, 543, 796, 1952, 564, 1944, 269, 19759, 569, 267, 789, 1185, 3765, 20412, 730, 519, 682, 822, 2287, 8665, 2838, 547, 948, 519, 544, 4428, 1231, 4473, 5265, 269, 9282, 25922, 267, 789, 4121, 513, 3407, 3992, 1107, 1256, 609, 3501, 7403, 267, 30534, 2629, 3334, 949, 1291, 547, 6397, 2164, 269, 6884, 938, 6901, 1810, 1405, 979, 607, 9709, 267, 855, 649, 1451, 2059, 519, 1259, 267, 3395, 5923, 518, 543, 811, 9952, 585, 1985, 942, 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, 11693, 519, 5820, 540, 476, 275, 11680, 540, 27046, 7912, 267, 476, 273, 11680, 540, 30288, 5144, 267, 543, 476, 272, 7484, 540, 30207, 267, 1142, 544, 4428, 514, 8506, 476, 272, 270, 273, 7484, 540, 27046, 7912, 267, 476, 272, 270, 275, 7484, 540, 30288, 5144, 267, 543, 476, 272, 270, 279, 7484, 540, 30207, 267, 1018, 568, 519, 5021, 1297, 540, 17154, 14254, 544, 4428, 1231, 602, 666, 581, 1500, 286, 2052, 596, 849, 5173, 519, 2179, 540, 4430, 5820, 6967, 1310, 1818, 519, 5021, 1297, 540, 544, 4428, 1231, 286, 7490, 1683, 519, 10084, 29441, 3009, 547, 12337, 519, 1267, 563, 17780, 593, 519, 2016, 5820, 267, 649, 666, 1118, 513, 5021, 540, 476, 3953, 544, 4428, 1231, 563, 2414, 5173, 519, 5021, 1297, 540, 544, 4428, 1231, 267, 649, 991, 547, 1265, 519, 12146, 602, 786, 2196, 856, 1101, 269, 769, 713, 2013, 267, 621, 568, 519, 30207, 1317, 649, 1152, 723, 476, 272, 7484, 540, 873, 267, 543, 1142, 544, 4428, 514, 3340, 476, 272, 270, 279, 7484, 269, 4475, 267, 649, 666, 1118, 513, 5021, 540, 476, 279, 10627, 2583, 540, 544, 4428, 1231, 267, 1142, 5627, 476, 275, 544, 4428, 1231, 267, 1210, 782, 540, 519, 30207, 563, 9202, 267, 649, 991, 547, 1265, 856, 875, 1454, 27046, 7912, 543, 30288, 5144, 649, 786, 991, 547, 1118, 891, 476, 3953, 544, 4428, 1231, 269, 3962, 544, 4428, 514, 3340, 476, 272, 270, 273, 7484, 540, 27046, 7912, 543, 476, 272, 270, 275, 7484, 540, 30288, 5144, 267, 865, 476, 3953, 18665, 325, 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 ]

[ 0, 1012, 7314, 22364, 28590, 476, 274, 1296, 3516, 22217, 1518, 281, 630, 336, 14370, 336, 317, 273, 8573, 317, 273, 4297, 270, 337, 14370, 337, 317, 273, 268, 336, 317, 273, 2020, 272, 269, 30511, 318, 305, 1853, 320, 692, 7445, 2765, 346, 336, 25452, 263, 336, 8573, 7565, 336, 266, 337, 264, 7684, 265, 315, 2765, 346, 678, 317, 273, 268, 336, 317, 273, 2410, 337, 476, 27874, 1422, 2765, 346, 336, 25452, 630, 336, 8573, 7565, 336, 266, 337, 264, 7684, 265, 315, 2765, 18950, 678, 268, 336, 7565, 337, 266, 336, 3738, 2410, 337, 476, 4153, 11138, 315, 1422, 2765, 346, 336, 25452, 630, 336, 8573, 7565, 336, 266, 337, 264, 7684, 265, 315, 2765, 24877, 272, 263, 7117, 8573, 7565, 336, 266, 337, 3738, 2410, 337, 476, 4153, 11138, 315, 1422, 2765, 346, 336, 25452, 22570, 322, 30327, 346, 336, 8573, 7565, 336, 266, 337, 14587, 7684, 265, 315, 2765, 24877, 272, 315, 322, 30327, 18950, 7117, 8573, 7565, 336, 266, 337, 3738, 12453, 337, 476, 4153, 11138, 315, 31386, 2765, 24877, 336, 25452, 678, 476, 10592, 273, 269, 7314, 22364, 28590, 692, 1432, 952, 621, 729, 1840, 3079, 540, 8691, 2496, 274, 269, 795, 327, 3415, 344, 280, 692, 15290, 596, 991, 7941, 1079, 8454, 1175, 12750, 773, 1101, 676, 2034, 538, 951, 539 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7689, 1948, 1704, 6341, 7204, 20518, 1903, 269, 634, 1611, 540, 513, 10386, 3892, 568, 1572, 519, 4397, 1871, 540, 519, 18802, 269, 634, 3044, 11539, 540, 513, 10386, 780, 1012, 19809, 593, 6249, 281, 834, 8893, 1948, 1704, 6341, 7204, 20518, 1903, 269, 634, 1611, 540, 513, 10386, 3892, 568, 1572, 519, 4397, 1871, 540, 519, 18802, 269, 634, 3044, 11539, 540, 513, 10386, 1701, 1765, 19809, 13973, 1384, 8893, 1948, 1704, 6341, 7204, 20518, 1903, 692, 763, 1611, 540, 513, 10386, 3892, 568, 1572, 519, 4397, 1871, 540, 519, 18802, 269, 634, 3044, 11539, 540, 513, 10386, 3892, 568, 1572, 519, 3044, 5470, 540, 519, 18802, 692, 21579, 7204, 17392, 540, 1403, 2473, 9625, 715, 263, 19569, 511, 267, 19569, 367, 476, 273, 16532, 1287, 692, 23338, 23423, 14497, 1280, 562, 18481, 1804, 267, 519, 10386, 3892, 540, 568, 693, 2547, 5111, 16453, 585, 1022, 5817, 3892, 2439, 311, 9625, 715, 263, 19569, 511, 267, 476, 2412, 476, 273, 3738, 19569, 511, 19569, 511, 1341, 2412, 19569, 511, 910, 2412, 623, 263, 19569, 511, 910, 1015, 2999, 2473, 2999, 19569, 511, 1341, 1015, 264, 815, 623, 8987, 269, 1839, 2999, 2098, 2999, 269, 1839, 264, 19569, 511, 910, 1015, 19569, 511, 1341, 1015, 815, 623, 263, 313, 2999, 269, 1839, 264, 1107, 623, 263, 313, 2999, 910, 269, 1839, 264, 815, 269, 6795, 279, 278, 910, 269, 25002, 274, 815, 269, 3192, 275, 5940, 269, 540, 2473, 692, 311, 9625, 715, 263, 19569, 511, 267, 476, 2412, 476, 273, 3738, 19569, 511, 19569, 511, 1341, 2412, 19569, 511, 910, 2412, 19569, 511, 910, 1015, 19569, 511, 1341, 1015, 5940, 269, 540, 2473, 623, 263, 19569, 511, 910, 1015, 2999, 2999, 19569, 511, 1341, 1015, 264, 815, 623, 263, 313, 2999, 476, 273, 269, 276, 264, 1107, 623, 263, 313, 2999, 910, 273, 269, 276, 264, 815, 269, 7176, 278, 277, 5940, 269, 540, 692, 12606, 533, 696, 834, 8893, 1948, 1704, 6341, 7204, 20518, 1903, 269, 634, 1611, 540, 513, 10386, 3892, 568, 1572, 519, 4397, 1871, 540, 519, 18802, 269, 634, 3044, 11539, 540, 513, 10386, 3010, 13436, 14245 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 14457, 533, 2056, 11808, 454, 2207, 2975, 7089, 281, 11581, 26727, 4391, 275, 454, 13434, 867, 7392, 281, 681, 23966, 454, 26397, 11261, 281, 476, 2735, 275, 5336, 599, 454, 27270, 4032, 281, 476, 271, 454, 29638, 853, 699, 8040, 543, 4317, 32018, 563, 292, 698, 569, 267, 7705, 670, 563, 763, 2601, 602, 1004, 1589, 2021, 543, 2367, 8428, 538, 741, 2489, 7907, 949, 581, 602, 519, 1079, 28486, 4043, 547, 581, 4767, 538, 1114, 1514, 5107, 269, 1677, 2263, 519, 2959, 540, 11475, 827, 2367, 543, 2021, 1896, 6901, 941, 5342, 269, 4107, 540, 519, 2090, 3238, 14477, 5697, 2852, 1053, 945, 941, 4843, 609, 513, 6609, 540, 513, 5256, 610, 4775, 17003, 1268, 543, 4280, 547, 2557, 602, 1268, 269, 3962, 4603, 9867, 519, 2460, 540, 1514, 1909, 602, 1522, 2272, 585, 4008, 11475, 267, 1519, 2816, 4567, 610, 25084, 607, 9441, 610, 4630, 655, 6033, 267, 12242, 1909, 267, 5191, 540, 1909, 3903, 267, 543, 851, 6066, 7694, 269, 769, 2489, 519, 2090, 3177, 2178, 1489, 585, 519, 1514, 7293, 2079, 540, 4008, 11475, 269, 27801, 338, 602, 2021, 616, 2523, 18497, 543, 2367, 616, 2523, 8665, 545, 2992, 7422, 602, 2021, 543, 2367, 616, 8335, 7856, 883, 4630, 655, 6033, 543, 9441, 5107, 267, 799, 616, 2219, 547, 2154, 1114, 2123, 7907, 269, 3131, 576, 1392, 4646, 741, 1523, 540, 2021, 593, 519, 4493, 540, 11287, 513, 9425, 1164, 8167, 540, 2043, 8149, 547, 519, 6469, 1909, 267, 1247, 2367, 941, 4767, 5097, 8149, 547, 519, 9441, 1909, 269, 634, 1249, 602, 5396, 24565, 7209, 10305, 5267, 602, 4630, 655, 5474, 543, 5520, 8428, 711, 1175, 538, 1909, 2623, 855, 849, 538, 741, 5817, 8741, 1431, 269, 27557, 547, 4894, 4008, 11475, 2069, 958, 949, 723, 5266, 2370, 1764, 3379, 609, 4890, 2242, 538, 519, 3892, 540, 519, 28486, 883, 1514, 5107, 269, 630, 297, 3722, 994, 26397, 7392, 281, 32722, 14430, 282, 18614, 910, 3194, 282, 4325, 16696, 270, 9288, 7566, 14430, 454, 19733, 5426, 281, 715, 12458, 454, 288, 3578, 1681, 26323, 281, 715, 12458, 454, 15275, 13294, 281, 12287, 32185, 282, 4317, 32018, 454, 9616, 281, 7433, 4843, 693, 519, 16316, 20051, 540, 519, 11068, 13523, 16723, 5948, 630, 6321, 628, 267, 9628, 267, 14889, 267, 2904, 476, 274, 268, 276, 267, 476, 2735, 275, 1040 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10481, 5852, 692, 12218, 2305, 540, 10222, 9201, 281, 5426, 476, 274, 12694, 692, 1103, 6906, 1269, 21020, 259, 649, 723, 4399, 1002, 2715, 21957, 7684, 815, 476, 1911, 4113, 10608, 8672, 1269, 289, 259, 538, 593, 1269, 4696, 259, 971, 602, 1269, 3722, 815, 9474, 259, 543, 1269, 6195, 815, 5084, 10608, 4855, 4399, 1002, 2715, 645, 7374, 476, 4151, 538, 5232, 780, 2690, 930, 1871, 1269, 323, 267, 259, 606, 568, 30801, 6906, 814, 693, 2547, 835, 5086, 540, 18159, 273, 323, 268, 2412, 7751, 5232, 543, 693, 2547, 835, 5086, 540, 18159, 323, 266, 736, 7751, 5232, 780, 2690, 1142, 540, 971, 12730, 267, 1577, 4399, 10401, 259, 20301, 519, 10545, 5086, 538, 5232, 269, 3973, 1018, 568, 519, 2040, 540, 782, 2009, 4399, 10401, 259, 262, 338, 2496, 763, 5011, 540, 513, 6906, 723, 13080, 1269, 1556, 2073, 476, 1428, 2073, 737, 259, 1141, 1269, 330, 259, 568, 606, 8870, 269, 1280, 875, 1082, 1871, 4433, 264, 540, 1269, 330, 259, 568, 519, 6906, 1073, 339, 2224, 2496, 1607, 2243, 568, 513, 851, 540, 808, 7417, 8734, 1182, 780, 288, 6906, 814, 5011, 540, 3259, 4399, 7562, 263, 1535, 1070, 1422, 6523, 630, 343, 7751, 543, 4399, 6912, 346, 272, 10954, 7562, 630, 343, 3738, 315, 6523, 263, 1535, 264, 20954, 609, 1269, 343, 259, 606, 8650, 5086, 780, 8340, 519, 4102, 5086, 540, 519, 6906, 538, 5232, 780, 288, 1899, 1269, 5723, 259, 540, 3259, 1269, 331, 259, 2306, 909, 835, 2427, 540, 513, 6906, 269, 634, 30580, 540, 782, 2798, 1269, 303, 259, 971, 602, 4399, 28256, 4120, 9474, 303, 259, 568, 513, 1318, 6906, 609, 4399, 4120, 623, 815, 476, 3445, 17353, 15132, 4151, 11700, 4680, 606, 1858, 540, 4399, 3667, 3189, 318, 18386, 18386, 18386, 18386, 18386, 18386, 18386, 18386, 18386, 31859, 763, 1079, 3677, 7285, 540, 606, 568, 30801, 6906, 723, 513, 5916, 2268, 540, 1269, 13670, 23373, 15132, 10608, 1403, 713, 6906, 814, 513, 13902, 4463, 540, 1269, 273, 20728, 346, 544, 20954, 1265, 519, 3259, 540, 922, 3490, 538, 7397, 780, 2252, 519, 8545, 666, 581, 6829, 538, 519, 1106, 1269, 320, 25490, 2715, 536, 7684, 910, 322, 8961, 1141, 1269, 320, 14720, 259, 543, 1269, 322, 259, 616, 2318, 9981, 609, 1269, 321, 259, 4009, 6954, 267, 2328, 707, 2626, 607, 1269, 320, 24585, 536, 24585, 524, 16859, 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 ]

[ 0, 258, 13804, 3363, 543, 667, 3925, 540, 11272, 12197, 692, 1012, 14581, 15048, 692, 10521, 1448, 10997, 616, 5116, 593, 519, 586, 14289, 269, 2290, 568, 1341, 274, 269, 271, 19569, 511, 290, 543, 4092, 693, 2990, 630, 271, 267, 476, 273, 544, 1070, 519, 824, 568, 910, 273, 269, 271, 19569, 511, 290, 543, 4092, 693, 519, 5169, 269, 2422, 519, 6516, 547, 1265, 519, 9588, 543, 4287, 540, 519, 3167, 2361, 543, 519, 3196, 593, 513, 1341, 272, 269, 271, 1535, 476, 1015, 268, 280, 595, 1449, 5279, 5116, 538, 519, 1739, 6753, 563, 320, 269, 630, 271, 267, 476, 272, 269, 271, 544, 994, 321, 269, 630, 271, 267, 910, 273, 269, 271, 544, 994, 322, 269, 630, 272, 269, 271, 332, 267, 476, 271, 2020, 292, 284, 737, 336, 14370, 337, 317, 273, 2020, 1012, 634, 28055, 693, 513, 8827, 692, 3383, 585, 851, 513, 912, 293, 284, 630, 298, 263, 274, 343, 1015, 28260, 277, 19422, 272, 317, 273, 264, 1341, 918, 263, 273, 343, 1015, 268, 277, 19422, 272, 317, 273, 4917, 292, 284, 674, 14370, 11687, 5279, 2020, 306, 877, 585, 851, 536, 267, 855, 519, 8953, 568, 1114, 563, 7069, 2243, 568, 875, 798, 594, 1205, 851, 595, 888, 296, 7229, 519, 3196, 1063, 519, 910, 273, 1075, 5279, 543, 1448, 595, 267, 855, 875, 798, 594, 1205, 519, 3196, 1063, 519, 1341, 274, 1075, 5279, 543, 1448, 595, 2496, 2710, 594, 991, 547, 1265, 519, 5086, 2496, 1012, 634, 28055, 693, 513, 8827, 692, 2971, 5900, 778, 906, 692, 1892, 6516, 27970, 454, 274, 269, 275, 22995, 5788, 14358, 281, 476, 4343, 277, 692, 337, 331, 12500, 1002, 454, 29094, 4477, 704, 454, 8340, 519, 3845, 1063, 2798, 630, 476, 271, 267, 476, 273, 264, 543, 630, 272, 267, 271, 1916, 8340, 2361, 693, 630, 272, 267, 271, 264, 1813, 547, 1341, 476, 274, 19031, 290, 543, 910, 476, 273, 19031, 290, 563, 4910, 9876, 519, 2361, 1813, 547, 1341, 274, 19031, 290, 883, 1535, 543, 586, 3334, 563, 8340, 519, 2121, 1535, 5057, 543, 1265, 519, 25739, 609, 586, 5057, 780, 8340, 519, 3845, 1063, 2798, 630, 476, 271, 267, 476, 273, 264, 543, 630, 272, 267, 271, 1916, 8340, 2361, 693, 630, 272, 267, 271, 264, 1813, 547, 1341, 476, 274, 19031, 290, 543, 910, 476, 273, 19031, 290, 563, 4910, 9876, 519, 2361, 1813, 547, 1341, 274, 19031, 290, 883, 1535, 543, 586, 3334, 563, 8340, 519, 2121, 1535, 5057, 543, 1265, 519, 25739, 609, 586, 5057, 780, 14188, 596, 585, 519, 16253, 267, 1775, 3513, 2119, 713, 856, 14182, 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 ]

[ 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 16482, 258, 18786, 609, 519, 1297, 476, 272, 543, 3001, 547, 519, 1318, 538, 513, 29628, 4287, 513, 454, 258, 476, 276, 676, 476, 276, 18700, 568, 4646, 607, 5205, 912, 16482, 258, 476, 2641, 476, 2420, 476, 2537, 476, 2190, 476, 1839, 454, 258, 476, 736, 476, 476, 278, 476, 476, 279, 476, 476, 280, 476, 1015, 454, 258, 476, 866, 476, 476, 277, 476, 476, 272, 476, 476, 273, 476, 1556, 454, 258, 476, 1240, 476, 476, 276, 476, 476, 275, 476, 476, 274, 476, 1321, 454, 258, 476, 1704, 476, 1626, 476, 1428, 476, 1691, 476, 1724, 454, 16482, 258, 898, 666, 581, 20240, 602, 519, 2040, 540, 519, 2338, 593, 519, 32377, 568, 476, 6200, 563, 16482, 258, 1548, 568, 519, 2040, 540, 519, 2338, 593, 519, 32377, 538, 513, 476, 1911, 272, 676, 476, 1911, 272, 18700, 454, 258, 4646, 538, 519, 1482, 1259, 888, 16482, 16482, 258, 476, 6246, 476, 4510, 476, 3393, 476, 5379, 476, 5325, 476, 4366, 476, 5392, 454, 258, 476, 5655, 476, 2641, 476, 2420, 476, 2537, 476, 2190, 476, 1839, 476, 2918, 454, 258, 476, 6078, 476, 736, 476, 476, 278, 476, 476, 279, 476, 476, 280, 476, 1015, 476, 2767, 454, 258, 476, 2412, 476, 866, 476, 476, 277, 476, 476, 272, 476, 476, 273, 476, 1556, 476, 2764, 454, 258, 476, 4375, 476, 1240, 476, 476, 276, 476, 476, 275, 476, 476, 274, 476, 1321, 476, 3066, 454, 258, 476, 4343, 476, 1704, 476, 1626, 476, 1428, 476, 1691, 476, 1724, 476, 1789, 454, 258, 476, 4391, 476, 3607, 476, 3374, 476, 4097, 476, 3451, 476, 3953, 476, 4029, 454, 16482, 258, 17325, 725, 912, 16482, 258, 1142, 3492, 878, 5858, 1775, 630, 11034, 532, 693, 476, 272, 1070, 814, 476, 279, 2608, 1775, 2609, 912, 258, 567, 476, 279, 815, 476, 279, 2608, 476, 272, 267, 476, 1626, 815, 476, 279, 2608, 476, 273, 267, 476, 2190, 815, 476, 279, 2608, 476, 274, 454, 16482, 258, 1142, 2451, 909, 1341, 2451, 2539, 2652, 1318, 909, 1341, 1318, 2539, 912, 258, 567, 476, 278, 1341, 476, 1428, 815, 476, 1321, 267, 476, 280, 1341, 476, 274, 815, 476, 1321, 454, 258, 567, 476, 2641, 1341, 476, 1704, 815, 476, 4343, 267, 476, 1839, 1341, 476, 1724, 815, 476, 2764, 454, 258, 567, 476, 6246, 1341, 476, 4391, 815, 476, 3199, 267, 476, 5392, 1341, 476, 4029, 815, 476, 3199, 454, 16482, 258, 1142, 2539, 1318, 7944, 568, 7173, 3492, 878, 5858, 1341, 630, 273, 2608, 1775, 994, 258, 7531, 5228, 552, 17526, 6230, 4593, 1104, 15497, 23544, 7531, 3698, 2196, 10031, 825, 1820, 15497, 23544, 263, 1911, 272, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 288, 31632, 568, 513, 1770, 540, 3059, 1344, 602, 568, 4922, 1031, 538, 7384, 547, 2099, 1585, 2010, 540, 1239, 267, 971, 607, 3197, 267, 2338, 267, 543, 811, 269, 898, 779, 7768, 540, 513, 5311, 540, 11353, 563, 268, 645, 1080, 267, 2110, 585, 968, 321, 2435, 9704, 2223, 616, 519, 4909, 4559, 540, 3059, 1239, 269, 3962, 3787, 666, 723, 835, 540, 1079, 2418, 267, 3335, 6719, 607, 476, 271, 610, 476, 272, 269, 898, 779, 899, 519, 10545, 2679, 3625, 540, 3059, 1344, 563, 268, 769, 4334, 267, 513, 31632, 5161, 540, 476, 279, 11353, 19882, 1927, 269, 901, 1797, 972, 616, 476, 279, 9352, 9704, 630, 271, 338, 543, 476, 272, 338, 264, 538, 513, 31632, 563, 3383, 950, 649, 2161, 968, 272, 31632, 568, 6697, 547, 476, 279, 11353, 2223, 649, 2461, 17548, 602, 513, 2582, 31632, 3568, 476, 279, 1367, 11353, 269, 901, 2078, 568, 4909, 538, 2780, 1949, 267, 607, 621, 2636, 721, 547, 2099, 543, 1184, 1585, 2010, 540, 1239, 538, 513, 11295, 543, 13387, 6073, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 11386, 267, 519, 10509, 9649, 267, 814, 1500, 24657, 585, 519, 4636, 4128, 607, 922, 9241, 9250, 6006, 9467, 5690, 4503, 1269, 1911, 5479, 538, 513, 2582, 5470, 269, 634, 10071, 814, 6659, 2055, 827, 519, 10727, 540, 12747, 9467, 1949, 543, 519, 1909, 540, 5841, 4987, 630, 9590, 264, 538, 519, 2883, 2344, 563, 763, 5690, 267, 1572, 968, 11386, 645, 731, 2223, 729, 2966, 547, 946, 3642, 547, 5659, 2344, 1239, 543, 1118, 5092, 3664, 593, 15773, 540, 7218, 269, 634, 1062, 729, 9250, 609, 1454, 10178, 11071, 267, 607, 5616, 10645, 602, 621, 1131, 22499, 519, 1259, 1004, 1902, 538, 519, 6006, 2344, 563, 4913, 267, 519, 1062, 779, 2773, 729, 2322, 547, 519, 1449, 950, 621, 1500, 513, 14427, 5470, 267, 4611, 538, 519, 2530, 540, 513, 7372, 1269, 1911, 5479, 538, 513, 2582, 1554, 269, 634, 2014, 540, 519, 5470, 814, 711, 2943, 1044, 5462, 267, 855, 5359, 2303, 602, 519, 1062, 949, 723, 31495, 2181, 1540, 2344, 1239, 610, 1500, 513, 12161, 538, 922, 5092, 3664, 563, 763, 10071, 814, 17275, 513, 7521, 827, 519, 10727, 540, 3642, 1949, 538, 519, 2883, 2344, 269, 2368, 4966, 723, 11130, 602, 3642, 1949, 616, 1932, 1950, 543, 20437, 547, 581, 11967, 609, 1818, 5092, 3664, 267, 1247, 1866, 3494, 602, 519, 2640, 540, 3642, 538, 519, 2883, 2344, 29387, 519, 4220, 563, 32381, 540, 519, 2014, 540, 519, 5470, 267, 519, 10071, 814, 6659, 3978, 4145, 827, 519, 3106, 543, 6617, 540, 519, 2883, 2344, 269, 14825, 730, 9467, 1949, 899, 5616, 645, 731, 616, 4742, 5051, 2442, 267, 543, 519, 2883, 2344, 12346, 8185, 593, 873, 547, 1118, 5092, 3664, 269, 634, 10071, 8711, 519, 2956, 540, 4180, 602, 891, 1949, 616, 6325, 543, 5150, 267, 547, 2061, 2104, 2883, 9271, 563, 763, 10071, 814, 849, 12936, 5616, 779, 10639, 267, 607, 519, 2754, 814, 1279, 1044, 1634, 585, 922, 6791, 538, 3642, 543, 2029, 269, 634, 2530, 540, 1269, 1911, 5479, 538, 513, 2582, 1554, 814, 1572, 883, 2243, 519, 2754, 779, 2702, 547, 1020, 543, 10131, 3811, 3642, 1949, 538, 519, 2883, 2344, 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 ]

[ 0, 7617, 4729, 798, 594, 991, 888, 1626, 5784, 630, 18431, 476, 1789, 2395, 994, 296, 6415, 3843, 547, 4729, 538, 476, 273, 291, 930, 2798, 543, 594, 1616, 547, 2681, 873, 4470, 593, 513, 7954, 630, 272, 610, 476, 271, 264, 8760, 563, 296, 3513, 2491, 8885, 1732, 269, 594, 723, 513, 5119, 609, 1114, 27976, 18396, 24002, 543, 513, 7954, 2418, 8655, 547, 1142, 11282, 602, 6645, 803, 952, 519, 1448, 568, 5078, 607, 606, 3355, 2798, 585, 519, 17293, 540, 513, 9682, 269, 594, 4312, 6836, 1210, 14649, 855, 594, 1175, 1205, 11954, 2798, 543, 594, 6415, 3168, 585, 513, 834, 335, 20557, 4786, 257, 865, 594, 666, 3362, 1294, 2516, 540, 1434, 2798, 543, 2516, 540, 3983, 2798, 563, 3633, 3951, 281, 594, 1616, 547, 1294, 513, 11954, 267, 27795, 2627, 10834, 834, 16591, 257, 10851, 543, 834, 21112, 257, 10851, 4470, 540, 952, 972, 616, 1082, 5078, 2798, 610, 711, 269, 23985, 899, 713, 3239, 563, 14188, 596, 16921, 563, 30252, 5899, 3187, 593, 476, 1556, 4119, 476, 1001, 276, 454, 2252, 596, 2907, 917, 519, 2048, 16591, 685, 543, 2048, 21112, 685, 2798, 267, 543, 789, 616, 3989, 676, 9266, 4994, 532, 267, 946, 519, 9266, 4994, 2418, 547, 5094, 873, 883, 519, 3617, 10321, 267, 946, 519, 3180, 1599, 267, 543, 4729, 873, 912, 343, 815, 476, 272, 281, 1911, 3248, 344, 815, 28219, 328, 263, 4200, 267, 476, 272, 267, 476, 1911, 11850, 572, 937, 815, 586, 3436, 476, 4037, 282, 4939, 9266, 19139, 21070, 454, 16591, 318, 14186, 815, 586, 263, 572, 937, 11850, 21112, 318, 14186, 815, 586, 263, 349, 572, 937, 11850, 2675, 2660, 3287, 263, 572, 937, 1070, 1434, 318, 14186, 267, 1412, 321, 335, 5073, 2675, 2660, 3287, 263, 349, 572, 937, 1070, 3983, 318, 14186, 267, 1412, 337, 335, 5073, 5586, 754, 3488, 14187, 18745, 3299, 1412, 289, 611, 18745, 5073, 5415, 12226, 630, 273, 994, 15862, 8890, 560, 593, 476, 1556, 4119, 476, 1001, 276, 454, 2675, 2660, 3890, 1058, 1869, 960, 269, 1548, 1705, 596, 798, 286, 1411, 666, 1780, 538, 513, 1592, 540, 4778, 585, 1169, 1448, 596, 917, 269, 1411, 666, 849, 3313, 519, 7306, 602, 1259, 269, 9894, 596, 1780, 4778, 543, 7306, 538, 547, 14649, 19572, 610, 596, 1175, 5293, 538, 1535, 543, 586, 286, 1411, 9364, 991, 547, 723, 606, 5044, 609, 607, 1082, 9343, 607, 596, 723, 1239, 2798, 267, 543, 1614, 9587, 267, 609, 519, 2418, 538, 519, 9587, 1373, 538, 519, 2039, 476, 271, 268, 272, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 26611, 23591, 24800, 19841, 341, 9226, 19638, 5035, 8585, 613, 31374, 1384, 825, 1219, 4990, 4311, 267, 6783, 17107, 1038, 952, 7003, 263, 6783, 264, 10922, 476, 272, 912, 2018, 2132, 5044, 454, 1038, 3116, 912, 2018, 2451, 815, 1582, 31699, 263, 6783, 11468, 263, 6352, 263, 6783, 264, 1315, 476, 273, 264, 7481, 2018, 1318, 815, 1582, 31699, 263, 6783, 27007, 6352, 263, 6783, 264, 1315, 476, 273, 2567, 7481, 2018, 5044, 815, 1582, 11519, 1067, 613, 263, 3847, 267, 2431, 994, 1038, 2132, 5044, 692, 825, 1219, 9041, 1067, 613, 4311, 267, 3847, 267, 2431, 2187, 1038, 5044, 815, 314, 2639, 1038, 1775, 284, 271, 454, 1038, 795, 284, 271, 454, 1038, 1247, 1775, 2999, 7003, 263, 2431, 264, 543, 795, 2999, 7003, 263, 3847, 264, 10778, 2018, 952, 2451, 14728, 316, 2999, 1318, 5157, 14158, 3546, 5044, 6910, 263, 3847, 14728, 7481, 3546, 795, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 5044, 6910, 263, 2431, 5157, 7481, 3546, 1775, 6834, 476, 272, 454, 1038, 952, 1775, 2999, 7003, 263, 2431, 2187, 2018, 5044, 269, 2169, 754, 263, 2431, 5157, 281, 7481, 1038, 8640, 795, 2999, 7003, 263, 3847, 2187, 2018, 5044, 269, 2169, 754, 263, 3847, 14728, 281, 7481, 1038, 2132, 5044, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1412, 300, 10235, 31374, 262, 19638 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1382, 269, 1411, 1377, 909, 563, 12901, 643, 6400, 568, 606, 1884, 1172, 730, 2165, 1031, 547, 4766, 3354, 3301, 602, 30397, 267, 14014, 1996, 267, 543, 18788, 18453, 563, 2690, 606, 538, 3829, 1413, 693, 28456, 267, 1294, 713, 2985, 563, 23763, 547, 3251, 5483, 593, 519, 5767, 3377, 538, 14590, 286, 6178, 909, 585, 938, 20394, 543, 1451, 875, 547, 2149, 707, 2780, 689, 6937, 563, 15675, 707, 1893, 454, 7312, 25644, 547, 3388, 11341, 547, 6880, 628, 805, 338, 267, 543, 875, 547, 3247, 873, 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 ]

[ 0, 9223, 692, 258, 476, 7367, 269, 12433, 519, 13065, 543, 3044, 11539, 585, 519, 1739, 3892, 281, 4147, 293, 15968, 4391, 272, 21497, 279, 3953, 3752, 281, 3371, 1547, 1284, 1491, 519, 10924, 1611, 1547, 3371, 2073, 1287, 1547, 1284, 1106, 519, 1739, 3349, 609, 519, 2016, 1239, 269, 3371, 267, 7352, 766, 1269, 284, 1911, 13375, 24560, 2765, 18950, 10755, 7565, 2004, 9984, 18597, 2410, 7742, 271, 4153, 2431, 316, 7807, 2765, 346, 1911, 263, 2004, 273, 276, 20972, 7742, 271, 13157, 1001, 259, 9208, 11539, 692, 1012, 11473, 3435, 630, 272, 2020, 9596, 689, 741, 476, 272, 3562, 268, 272, 4901, 609, 8606, 334, 21493, 780, 1724, 25008, 692, 10170, 454, 18704, 454, 27751, 454, 28062, 476, 273, 21493, 7234, 713, 2243, 454, 28097, 713, 2243, 700, 25893, 454, 277, 25008, 3516, 454, 3080, 10278, 547, 3382, 782, 707, 6780, 543, 7084, 2115, 454, 9596, 6657, 31280, 590, 1075, 3865, 454, 9743, 656, 476, 272, 281, 272, 948, 267, 476, 2190, 343, 278, 454, 2568, 267, 476, 1822, 266, 16869, 21493, 454, 17806, 1504, 3435, 454, 19136, 2856, 13004, 267, 17755, 3863, 6953, 650, 4065, 3092, 454, 13625, 2689, 454, 7476, 4274, 5955, 593, 707, 1557, 454, 306, 3832, 7191, 5049, 454, 11947, 18262, 23468, 689, 667, 539, 5344, 476, 274, 4966, 454, 307, 27434, 676, 476, 275, 2929, 266, 1053, 692, 1805, 3089, 593, 519, 2243, 610, 7778, 2496, 21010, 609, 938, 9119, 21493, 2228, 543, 1205, 1900, 676, 1900, 3070, 540, 713, 2243, 780, 23211, 1053, 616, 2921, 700, 25893, 5049, 454, 7726, 7956, 476, 7367, 269, 12433, 519, 13065, 543, 3044, 11539, 585, 519, 1739, 3892, 281, 3752, 281, 3371, 1547, 1284, 1491, 519, 10924, 1611, 1547, 3371, 2073, 1287, 1547, 1284, 1106, 519, 1739, 3349, 609, 519, 2016, 1239, 269, 3371, 267, 7352, 766, 1269, 284, 1911, 13375, 24560, 2765, 18950, 10755, 7565, 2004, 9984, 18597, 2410, 7742, 271, 4153, 2431, 316, 7807, 2765, 346, 1911, 263, 2004, 273, 276, 20972, 7742, 271, 13157, 1001, 259, 9208, 11539, 21213, 2201, 4924, 476, 2420, 267, 476, 1708, 274, 13445, 4223, 4631, 543, 10318, 5364, 13595, 9119, 4147, 4147, 476, 1321, 8382, 7392, 11473, 3070, 281, 476, 272, 5455, 341, 4925, 476, 10170, 2997, 326, 269, 11473, 30991, 476, 1724, 1295 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 320, 815, 3403, 2891, 14707, 924, 631, 522, 340, 674, 281, 19515, 604, 513, 2525, 257, 293, 257, 610, 513, 2525, 257, 325, 13426, 825, 1820, 2891, 293, 655, 514, 3626, 5602, 19197, 513, 2525, 257, 300, 257, 610, 513, 2525, 257, 332, 13426, 825, 1820, 2891, 300, 553, 1529, 3626, 5602, 12828, 912, 825, 1820, 2891, 29189, 334, 769, 1998, 18480, 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 ]

[ 0, 258, 700, 8632, 2627, 692, 2690, 513, 13306, 267, 519, 14694, 2627, 1858, 1131, 581, 519, 1858, 540, 2185, 5011, 269, 6333, 519, 6316, 540, 519, 13306, 607, 1269, 320, 10608, 9351, 540, 835, 4009, 3068, 1269, 288, 3709, 2183, 348, 815, 513, 1422, 10383, 513, 815, 513, 317, 273, 10608, 4935, 519, 14694, 2627, 540, 513, 13306, 786, 581, 519, 1858, 540, 2185, 8188, 281, 1269, 320, 1422, 10383, 513, 1422, 10383, 476, 275, 815, 476, 275, 320, 317, 273, 10608, 634, 14694, 2627, 666, 849, 581, 7229, 676, 14921, 519, 15943, 540, 519, 3490, 547, 519, 4463, 540, 519, 24388, 269, 1496, 272, 2639, 2690, 513, 595, 2643, 5407, 267, 14694, 1858, 568, 519, 1858, 540, 519, 2427, 2627, 540, 519, 12718, 815, 1269, 273, 1422, 7032, 678, 554, 10608 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 288, 12007, 1353, 540, 5256, 543, 4775, 11994, 538, 3604, 538, 519, 2324, 543, 6469, 12106, 281, 513, 2474, 540, 4008, 3604, 4929, 8635, 538, 519, 2324, 543, 6469, 1272, 535, 8896, 267, 835, 540, 519, 5631, 1644, 547, 519, 4008, 2628, 7934, 267, 2816, 17478, 267, 543, 519, 4837, 18109, 971, 3584, 723, 267, 585, 269, 3367, 3184, 476, 274, 7713, 3023, 17478, 538, 519, 9036, 281, 1256, 1498, 2021, 723, 1500, 8101, 3356, 538, 513, 1297, 540, 19497, 5256, 23909, 267, 694, 269, 8241, 2367, 543, 2021, 1291, 1360, 1114, 2324, 2729, 2367, 543, 2021, 1419, 798, 711, 960, 1412, 2515, 676, 2427, 262, 1765, 8117, 3079, 960, 538, 6080, 610, 23909, 799, 616, 13856, 676, 835, 4008, 610, 1776, 676, 3486, 4441, 267, 649, 723, 513, 3810, 4008, 5302, 27935, 13781, 538, 476, 1001, 276, 268, 1626, 267, 3670, 538, 476, 1015, 563, 1103, 2259, 267, 10703, 1516, 4008, 17478, 538, 3448, 2474, 666, 581, 16609, 267, 607, 519, 1292, 2601, 1946, 2021, 4043, 547, 2272, 585, 1447, 982, 476, 2004, 4939, 540, 519, 6964, 13781, 568, 519, 4008, 6498, 540, 6469, 11668, 543, 2021, 781, 19018, 622, 2671, 540, 10002, 4660, 1416, 543, 6469, 960, 3976, 267, 513, 10257, 4358, 563, 763, 4128, 1946, 8706, 1235, 630, 1993, 1312, 28486, 264, 1058, 581, 7255, 609, 960, 17478, 676, 3023, 616, 267, 19599, 267, 10355, 1500, 8763, 649, 786, 2303, 930, 1934, 1101, 267, 621, 568, 9244, 5532, 547, 8635, 585, 1383, 267, 6009, 543, 23909, 5645, 856, 676, 2021, 2864, 982, 2367, 4043, 547, 581, 6976, 1447, 713, 568, 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, 301, 1731, 7637, 657, 589, 2280, 6652, 267, 17435, 527, 686, 657, 17578, 541, 777, 1846, 534, 529, 267, 12253, 2776, 334, 385, 352, 328, 1075, 6261, 2884, 549, 543, 23849, 850, 3930, 19681, 1842, 723, 5340, 1175, 971, 606, 2079, 267, 4330, 538, 741, 1957, 267, 21023, 532, 7225, 2772, 5463, 2888, 540, 519, 3864, 7040, 540, 5274, 7126, 281, 513, 7849, 5678, 14409, 21887, 269, 13018, 267, 1759, 593, 606, 2079, 540, 519, 21849, 6609, 540, 519, 2013, 267, 789, 4383, 547, 3589, 609, 606, 6111, 540, 827, 476, 3199, 9077, 519, 9352, 6364, 540, 519, 2013, 282, 1775, 4318, 269, 2436, 610, 711, 513, 18670, 540, 1480, 2924, 814, 1044, 24565, 547, 723, 1624, 3293, 563, 303, 14194, 545, 2338, 616, 513, 1259, 540, 834, 325, 3739, 538, 519, 10616, 257, 538, 519, 7787, 2338, 547, 2347, 519, 1297, 1899, 269, 1717, 267, 513, 1007, 11973, 568, 5189, 865, 602, 519, 3845, 1063, 1079, 2798, 568, 711, 519, 16022, 3845, 607, 6027, 676, 513, 14610, 269, 1452, 533, 14194, 545, 14573, 1450, 6898, 971, 607, 834, 1492, 12808, 2040, 540, 519, 7060, 540, 476, 273, 11224, 910, 272, 257, 547, 1118, 2631, 563, 763, 14465, 778, 570, 1513, 7288, 21537, 2135, 2982, 602, 621, 568, 2009, 547, 2759, 513, 476, 274, 291, 1843, 971, 607, 513, 12106, 883, 476, 277, 4773, 543, 556, 268, 1551, 1052, 873, 883, 476, 273, 21384, 9838, 547, 519, 3312, 538, 1312, 2450, 543, 5860, 269, 898, 666, 581, 2944, 609, 607, 1906, 607, 476, 276, 4773, 543, 4352, 1152, 16627, 543, 32186, 616, 2838, 585, 556, 268, 7955, 532, 519, 4773, 267, 519, 4773, 616, 10053, 14649, 902, 540, 4608, 870, 2406, 28222, 1082, 2798, 269, 1403, 713, 7959, 4831, 842, 30698, 547, 596, 267, 29311, 602, 621, 12346, 593, 519, 589, 3495, 558, 540, 14893, 1373, 3020, 543, 713, 568, 1141, 596, 1058, 8495, 707, 8937, 4606, 563, 8893, 476, 272, 851, 476, 272, 281, 661, 583, 1506, 874, 549, 543, 519, 14068, 667, 611, 1496, 5400, 281, 866, 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 ]

[ 0, 298, 758, 19660, 5013, 585, 3214, 454, 347, 24314, 2140, 1475, 298, 758, 19660, 281, 23281, 328, 1100, 1772, 14833, 2008, 298, 758, 19660, 630, 7430, 497, 11210, 507, 11210, 491, 13892, 281, 795, 320, 568, 1244, 13440, 730, 2073, 610, 538, 2022, 21351, 9647, 2762, 476, 7430, 497, 7430, 497, 11210, 491, 264, 568, 513, 3209, 676, 519, 5545, 2278, 715, 1846, 2541, 590, 16230, 572, 7288, 269, 898, 729, 1101, 3370, 538, 476, 4489, 275, 538, 17626, 1106, 538, 519, 5545, 11356, 1306, 1695, 328, 1744, 12494, 684, 269, 634, 2140, 267, 12261, 12777, 1797, 834, 24711, 2668, 634, 2262, 3568, 18707, 540, 2495, 267, 543, 666, 581, 12261, 607, 834, 1492, 2295, 540, 1919, 257, 610, 834, 10623, 9934, 2668, 4438, 519, 3209, 781, 3355, 17626, 2196, 267, 689, 4989, 476, 736, 547, 4864, 476, 1556, 267, 476, 4489, 275, 267, 621, 729, 9102, 896, 519, 2140, 918, 758, 19660, 281, 23281, 328, 1100, 1772, 14833, 630, 417, 379, 481, 476, 10429, 486, 13200, 509, 28374, 421, 479, 374, 418, 505, 372, 13892, 281, 795, 320, 568, 1244, 13440, 730, 2073, 918, 758, 19660, 281, 23281, 328, 781, 11620, 1040, 1879, 2663, 3370, 538, 3209, 1106, 676, 594, 9774, 9564, 1744, 582, 523, 267, 922, 2140, 729, 27571, 547, 918, 758, 19660, 282, 519, 17021, 540, 519, 2262, 834, 330, 758, 19660, 257, 3294, 729, 849, 4957, 689, 737, 534, 10202, 630, 417, 379, 481, 264, 547, 554, 4275, 1146, 320, 630, 7430, 497, 7430, 497, 11210, 491, 1916, 298, 758, 19660, 12700, 585, 8866, 269, 918, 1497, 15610, 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, 1103, 2221, 779, 3728, 533, 3166, 1158, 3388, 568, 4657, 269, 634, 5769, 568, 711, 1018, 621, 729, 4557, 1296, 3516, 543, 609, 519, 5920, 540, 5680, 476, 273, 269, 271, 1007, 9885, 723, 1044, 8118, 3850, 1114, 2609, 540, 2170, 2032, 883, 1357, 1374, 563, 25542, 3755, 1616, 547, 2170, 609, 519, 3896, 789, 616, 9683, 282, 789, 1616, 547, 581, 3742, 543, 547, 1205, 3238, 563, 20007, 3098, 543, 2553, 723, 1044, 2919, 547, 2743, 519, 2479, 3395, 543, 4657, 991, 585, 2170, 2032, 563, 14503, 1662, 814, 1831, 1776, 2012, 585, 2170, 2032, 538, 3896, 1374, 269, 634, 6671, 1875, 3613, 1738, 2609, 723, 1044, 8719, 609, 8755, 602, 25998, 609, 519, 3593, 269, 15750, 2572, 786, 946, 8755, 2609, 585, 741, 12445, 267, 20927, 543, 5924, 7333, 1676, 18537, 269, 11473, 18297, 543, 2575, 5716, 616, 4742, 811, 543, 811, 2442, 543, 2653, 547, 946, 269, 10803, 1397, 602, 936, 476, 4817, 260, 540, 5904, 1631, 723, 5839, 668, 4215, 18044, 26761, 8704, 593, 741, 2780, 563, 11328, 13808, 538, 1357, 1374, 666, 581, 9286, 538, 1079, 6688, 912, 306, 17532, 3593, 5872, 454, 25648, 3593, 5872, 454, 306, 17532, 3593, 5872, 568, 827, 2502, 3755, 538, 7836, 942, 593, 707, 3896, 676, 18071, 519, 1543, 538, 606, 10694, 1259, 269, 6201, 540, 2582, 3593, 5872, 649, 1265, 538, 5347, 13289, 1063, 15942, 13324, 676, 1312, 8755, 543, 795, 5226, 2044, 585, 513, 521, 5585, 1374, 267, 16022, 543, 11617, 10694, 3593, 8818, 267, 8202, 539, 1543, 971, 607, 8666, 26847, 543, 1587, 2823, 31987, 3092, 269, 630, 329, 335, 274, 9188, 793, 2593, 4496, 629, 9188, 793, 2593, 4898, 13665, 269, 916, 333, 2593, 994, 4002, 519, 824, 1688, 3818, 3593, 5872, 568, 827, 3850, 707, 3135, 8436, 547, 2170, 609, 1142, 824, 269, 2368, 1806, 540, 3818, 3593, 5872, 602, 616, 1336, 2221, 616, 538, 519, 1106, 540, 1514, 13033, 4609, 267, 15473, 267, 21075, 267, 1135, 3149, 3092, 269, 630, 1889, 324, 2692, 2593, 9043, 4318, 320, 2593, 28957, 3820, 2262, 12304, 3820, 994, 11328, 13808, 24643, 3755, 3007, 267, 6770, 10761, 267, 2306, 873, 2189, 267, 8952, 3755, 5461, 543, 5849, 602, 789, 723, 513, 12300, 1995, 9683, 519, 3896, 563, 11328, 13808, 538, 1357, 1374, 786, 3136, 547, 11457, 269, 5272, 1554, 1007, 2093, 543, 10578, 2081, 540, 13830, 519, 5304, 3007, 2097, 547, 1272, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 290, 1328, 692, 258, 9046, 476, 1626, 269, 17776, 519, 4102, 1297, 602, 568, 11105, 547, 513, 4642, 692, 11405, 476, 14378, 19442, 278, 692, 8138, 4784, 593, 476, 2420, 3967, 476, 1001, 280, 676, 8865, 344, 918, 4068, 523, 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, 320, 815, 1496, 272, 267, 476, 276, 267, 476, 274, 267, 476, 271, 267, 476, 273, 267, 476, 278, 267, 476, 271, 267, 476, 279, 267, 476, 280, 267, 476, 272, 476, 271, 22049, 536, 815, 476, 279, 282, 7682, 263, 1047, 23974, 3799, 792, 313, 3266, 5416, 1070, 321, 11723, 320, 815, 32582, 561, 815, 476, 1556, 513, 815, 476, 274, 513, 815, 476, 274, 476, 273, 513, 815, 476, 274, 476, 273, 476, 278, 513, 815, 476, 274, 476, 273, 476, 278, 476, 279, 513, 815, 476, 274, 476, 273, 476, 278, 476, 279, 476, 272, 586, 815, 476, 279, 692, 273, 5231, 10426, 454, 320, 815, 1496, 276, 476, 275, 910, 272, 476, 271, 910, 273, 476, 271, 910, 276, 476, 279, 22049, 536, 815, 910, 272, 282, 7682, 263, 1047, 23974, 3799, 792, 313, 3266, 5416, 1070, 321, 4297, 16963, 320, 815, 32582, 561, 815, 476, 279, 513, 815, 910, 272, 513, 815, 910, 272, 910, 273, 513, 815, 910, 272, 910, 273, 910, 273, 513, 815, 910, 272, 910, 273, 910, 273, 910, 276, 586, 815, 910, 272, 692, 274, 5231, 10426, 454, 320, 815, 1496, 271, 476, 274, 476, 272, 476, 271, 476, 273, 476, 280, 22049, 536, 815, 476, 274, 282, 7682, 263, 1047, 23974, 3799, 792, 313, 3266, 5416, 1070, 321, 4297, 16963, 320, 815, 32582, 561, 815, 476, 277, 513, 815, 476, 274, 513, 815, 476, 274, 476, 272, 513, 815, 476, 274, 476, 272, 476, 273, 586, 815, 476, 274, 692, 275, 5231, 10426, 454, 320, 815, 1496, 272, 476, 271, 476, 273, 476, 271, 476, 274, 22049, 536, 815, 476, 274, 282, 7682, 263, 1047, 23974, 3799, 792, 313, 3266, 5416, 1070, 321, 4297, 16963, 320, 815, 32582, 561, 815, 476, 276, 513, 815, 476, 272, 513, 815, 476, 272, 476, 273, 513, 815, 476, 272, 476, 273, 476, 273, 513, 815, 476, 272, 476, 273, 476, 273, 476, 274, 586, 815, 476, 274, 692, 276, 5231, 10426, 454, 320, 815, 1496, 271, 910, 272, 22049, 536, 815, 910, 272, 282, 7682, 263, 1047, 23974, 3799, 792, 313, 3266, 5416, 1070, 321, 4297, 16963, 320, 815, 32582, 561, 815, 476, 273, 513, 815, 910, 272, 586, 815, 910, 272, 692, 277, 5231, 10426, 454, 320, 815, 1496, 271, 910, 1321, 476, 271, 910, 278, 476, 271, 22049, 536, 815, 910, 278, 282, 7682, 263, 1047, 23974, 3799, 792, 313, 3266, 5416, 1070, 321, 4297, 16963, 320, 815, 32582, 561, 815, 476, 276, 513, 815, 910, 1321, 513, 815, 910, 1321, 910, 1321, 513, 815, 910, 1321, 910, 1321, 910, 278, 513, 815, 910, 1321, 910, 1321, 910, 278, 910, 278, 586, 815, 910, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1650, 540, 519, 2112, 519, 3486, 2146, 530, 3042, 1996, 3540, 2112, 3613, 4459, 523, 23683, 2274, 821, 269, 634, 4670, 9388, 609, 13357, 540, 519, 476, 1556, 4458, 3540, 2112, 538, 23683, 2274, 821, 269, 634, 4670, 814, 1031, 2067, 22266, 2621, 543, 32333, 2059, 609, 519, 6386, 543, 824, 3486, 5717, 607, 1134, 607, 22089, 689, 519, 23683, 2274, 821, 267, 2136, 8315, 267, 543, 3864, 2146, 269, 634, 4670, 849, 4330, 519, 1272, 540, 23683, 2274, 821, 543, 922, 1004, 22221, 1296, 2663, 267, 1141, 827, 476, 3583, 267, 1822, 2367, 267, 2021, 543, 1453, 1185, 1044, 7166, 1282, 519, 3540, 2112, 269, 634, 3540, 2112, 538, 23683, 2274, 821, 568, 849, 4330, 607, 835, 540, 476, 736, 628, 2540, 781, 1034, 22266, 7526, 267, 543, 835, 540, 519, 6167, 781, 1034, 3824, 3271, 1190, 19493, 14286, 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 ]

[ 0, 12850, 9754, 540, 15223, 611, 21171, 8466, 13216, 454, 5938, 327, 3757, 630, 7709, 264, 910, 2983, 25140, 4092, 1369, 519, 15223, 8910, 21171, 13216, 538, 519, 7187, 851, 540, 1855, 327, 3757, 267, 519, 4826, 7467, 568, 513, 2686, 4099, 585, 19620, 519, 1200, 527, 1137, 7283, 689, 938, 11937, 563, 296, 3757, 4964, 270, 9459, 3377, 281, 1358, 1031, 891, 1200, 527, 1137, 547, 10536, 267, 10141, 267, 15814, 267, 543, 17908, 1216, 269, 634, 4826, 7467, 540, 15223, 8910, 21171, 13216, 538, 1855, 327, 3757, 5161, 540, 1614, 2694, 540, 519, 3844, 2679, 267, 519, 25610, 2679, 267, 543, 606, 1930, 1858, 563, 2467, 616, 2185, 15225, 538, 519, 3844, 2679, 543, 835, 538, 519, 25610, 269, 769, 519, 2034, 2679, 519, 15805, 1131, 3643, 519, 2203, 540, 519, 21394, 3710, 538, 9459, 1310, 519, 9099, 7169, 543, 1310, 8384, 930, 14501, 827, 519, 1216, 2872, 267, 789, 616, 4843, 609, 1082, 25447, 3615, 543, 741, 12319, 563, 763, 4826, 7467, 540, 15223, 8910, 21171, 13216, 538, 1855, 327, 3757, 568, 513, 1747, 602, 666, 4628, 6542, 3388, 1644, 547, 713, 3407, 13442, 540, 2696, 269, 12020, 547, 2951, 547, 9459, 267, 649, 3810, 4363, 596, 547, 1995, 1325, 320, 539, 514, 13488, 3318, 2533, 269, 476, 21709 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18851, 457, 7531, 2791, 723, 4607, 606, 24290, 5048, 689, 2230, 269, 2659, 4305, 568, 547, 1232, 7973, 519, 454, 332, 20687, 609, 519, 1739, 2241, 3652, 1384, 476, 2608, 24606, 5569, 786, 2874, 540, 3854, 5022, 267, 2338, 267, 543, 23049, 1152, 563, 476, 2608, 1879, 972, 781, 513, 3625, 540, 3009, 3330, 519, 23049, 267, 971, 607, 2387, 314, 1015, 5723, 316, 12452, 621, 1797, 596, 991, 547, 10956, 519, 5022, 2878, 5723, 1262, 585, 2878, 1015, 2053, 1262, 563, 476, 2608, 24606, 666, 581, 11251, 538, 2789, 6106, 540, 7161, 563, 476, 2608, 15937, 1232, 7973, 539, 5048, 786, 1152, 2874, 540, 3854, 5022, 780, 8620, 513, 1599, 602, 3217, 24290, 5048, 2387, 339, 868, 319, 543, 7024, 519, 1232, 7973, 539, 454, 332, 20687, 780, 2162, 6201, 692, 825, 2230, 8548, 20687, 2891, 5723, 7374, 8442, 2340, 508, 508, 834, 5723, 7374, 4840, 8931, 825, 2230, 8548, 20687, 2891, 5723, 314, 274, 7374, 316, 8442, 2340, 508, 508, 834, 5723, 7374, 7374, 7374, 4840, 825, 1948, 834, 5723, 257, 815, 834, 5723, 4840, 825, 1948, 834, 314, 274, 7374, 316, 257, 815, 834, 7374, 7374, 7374, 4840, 8931, 825, 2230, 8548, 20687, 2891, 9281, 314, 273, 292, 316, 299, 294, 314, 276, 302, 316, 291, 8442, 2340, 508, 508, 834, 9281, 292, 5085, 32271, 302, 302, 302, 7495, 5016, 2162, 11872, 692, 301, 12458, 692, 18851, 457, 692, 3698, 2230, 8548, 20687, 6025, 868, 2187, 476, 759, 815, 1496, 5257, 2639, 476, 585, 524, 538, 512, 868, 912, 825, 952, 524, 2652, 1412, 9131, 912, 8587, 759, 6910, 3488, 5073, 825, 8640, 524, 2652, 1412, 316, 12466, 8587, 31575, 267, 328, 815, 759, 21014, 19572, 271, 454, 8587, 1247, 31575, 5157, 4940, 529, 323, 13424, 10031, 1038, 1775, 6834, 476, 272, 454, 8587, 759, 15631, 272, 316, 6834, 31575, 5157, 281, 30297, 842, 6025, 5404, 11468, 328, 7481, 825, 3116, 912, 8587, 759, 15631, 272, 316, 6834, 524, 454, 476, 2132, 759, 314, 271, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14983, 275, 269, 12017, 787, 31315, 692, 11405, 476, 10082, 10384, 271, 692, 8138, 4784, 593, 476, 279, 4455, 476, 1001, 280, 676, 5261, 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, 12528, 5334, 1828, 815, 3758, 1348, 3488, 327, 2426, 787, 5334, 333, 820, 6230, 262, 5148, 7682, 263, 529, 24105, 19304, 22772, 263, 12528, 5334, 1828, 10086, 516, 613, 343, 335, 262, 4297, 5148, 7682, 263, 529, 24105, 19304, 22772, 263, 12528, 5334, 1828, 10086, 11133, 273, 1598, 262, 4297, 5148, 7682, 263, 529, 24105, 19304, 22772, 263, 12528, 5334, 1828, 10086, 5793, 335, 262, 4297, 5148, 7682, 263, 529, 24105, 19304, 22772, 263, 12528, 5334, 1828, 10086, 325, 2745, 325, 262, 4297, 5148, 7682, 263, 529, 24105, 19304, 22772, 263, 12528, 5334, 1828, 10086, 16386, 262, 4297, 32007, 273, 5231, 10426, 454, 325, 2745, 325, 3488, 14818, 532, 1862, 315, 333, 10807, 585, 513, 815, 476, 271, 281, 279, 267, 4939, 5192, 519, 5119, 631, 815, 17237, 5334, 333, 820, 5416, 5148, 4939, 4939, 6744, 602, 782, 519, 2338, 2291, 2899, 538, 476, 273, 317, 320, 1535, 476, 273, 317, 320, 5119, 7682, 263, 1047, 23974, 4433, 1125, 29687, 1070, 314, 273, 317, 320, 267, 273, 317, 320, 25818, 262, 289, 611, 12025, 262, 5148, 7682, 263, 1047, 23974, 263, 272, 281, 11133, 601, 29687, 1070, 338, 677, 29687, 263, 281, 4297, 30670, 262, 8253, 782, 2338, 2291, 256, 262, 5148, 4939, 4939, 4855, 519, 6753, 540, 519, 2338, 1496, 296, 267, 297, 316, 815, 5044, 325, 684, 263, 287, 263, 343, 264, 22772, 29687, 2525, 343, 267, 272, 1070, 272, 281, 11133, 601, 29687, 4297, 282, 4939, 4939, 6744, 602, 519, 2338, 1106, 8197, 513, 13131, 7682, 263, 718, 9230, 11274, 5560, 858, 263, 296, 4297, 2525, 272, 261, 18528, 263, 297, 264, 2525, 271, 264, 1923, 630, 11274, 5560, 858, 263, 297, 4297, 2525, 272, 261, 18528, 263, 296, 264, 2525, 271, 24270, 262, 8253, 513, 31315, 256, 262, 5148, 4939, 4939, 6744, 602, 972, 3884, 1405, 513, 2786, 1899, 3476, 982, 476, 275, 544, 16435, 815, 3193, 263, 3250, 325, 684, 3488, 26319, 3299, 516, 613, 343, 335, 4433, 2745, 325, 3488, 260, 323, 3299, 314, 18528, 263, 296, 264, 10878, 301, 886, 263, 297, 13580, 1070, 262, 271, 266, 12887, 332, 2255, 262, 4297, 5148, 952, 513, 285, 271, 267, 7682, 263, 544, 16435, 2999, 476, 275, 10086, 5415, 982, 476, 275, 15654, 2338, 256, 262, 5148, 1439, 535, 2745, 325, 28361, 3279, 284, 260, 323, 2433, 15528, 256, 315, 333, 3299, 320, 5148, 1439, 4939, 535, 2745, 325, 28361, 333, 26142, 333, 2419, 3089, 7439, 5142, 1131, 581, 10583, 256, 315, 333, 10807, 4939, 4939, 692, 14818, 532, 1862, 513, 284, 271, 2433, 15528, 256, 513, 284, 272, 2433, 15528, 256, 513, 284, 273, 2433, 15528, 256, 513, 284, 274, 2433, 15528, 256, 513, 284, 275, 2433, 15528, 256, 513, 284, 276, 2433, 15528, 256, 513, 284, 277, 2433, 15528, 256, 513, 284, 278, 2433, 15528, 256, 513, 284, 279, 2433, 15528, 256, 1547, 932, 3089, 7439, 5142, 1131, 581, 10583, 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 ]

[ 0, 1012, 8752, 610, 24581, 692, 12244, 1826, 281, 20308, 11314, 692, 1012, 8752, 610, 24581, 692, 17345, 454, 12385, 24136, 454, 28062, 566, 454, 4089, 454, 22709, 454, 11073, 2492, 454, 23409, 610, 24581, 454, 12244, 7392, 454, 11328, 5562, 11314, 454, 12244, 9517, 454, 18231, 7761, 692, 1012, 4530, 30266, 10118, 692, 1432, 513, 13085, 3135, 596, 723, 26008, 594, 2648, 621, 267, 2523, 607, 621, 17990, 803, 3108, 543, 3108, 540, 2182, 960, 269, 11524, 945, 10093, 1405, 1336, 707, 3135, 2943, 1810, 1405, 917, 1018, 789, 616, 7508, 2439, 1012, 5245, 1107, 8241, 15099, 692, 1892, 476, 7462, 20970, 543, 16387, 454, 1892, 4635, 4559, 540, 6482, 692, 1892, 8028, 12613, 294, 24879, 1107, 2422, 1463, 543, 9940, 16198, 547, 6430, 799, 568, 3476, 267, 18219, 610, 6585, 811, 267, 543, 2491, 7744, 538, 4948, 1893, 692, 1012, 1715, 10215, 1107, 2817, 11621, 692, 1892, 476, 7462, 476, 272, 14371, 300, 1107, 16387, 543, 6482, 454, 1892, 476, 272, 14371, 300, 269, 272, 1107, 14424, 519, 13080, 267, 2127, 267, 12531, 610, 19206, 267, 543, 12035, 540, 3615, 2047, 692, 1892, 476, 7462, 476, 273, 14371, 300, 1107, 16387, 543, 6482, 454, 1892, 476, 273, 14371, 300, 269, 272, 1107, 14424, 519, 13080, 267, 2127, 267, 12531, 610, 19206, 267, 543, 12035, 540, 3615, 543, 519, 546, 15342, 540, 2621, 267, 1210, 1582, 7302, 4923, 4559, 540, 6482, 692, 1892, 476, 7462, 476, 274, 14371, 300, 1107, 16387, 543, 6482, 454, 1892, 476, 274, 14371, 300, 269, 272, 1107, 12763, 519, 13080, 267, 2127, 267, 12531, 610, 19206, 267, 543, 12035, 540, 3615, 543, 519, 8653, 540, 2621, 267, 1210, 5276, 2898, 5991, 3784, 10253, 543, 7311, 2596, 1840, 5013, 547, 3044, 4559, 692, 1012, 2136, 8003, 1107, 2817, 15099, 692, 1892, 476, 7462, 5729, 476, 272, 10872, 540, 1353, 454, 1892, 23794, 272, 28629, 272, 8160, 1107, 20970, 692, 1892, 32167, 2812, 1058, 581, 6026, 547, 1384, 1892, 23794, 272, 28629, 272, 8160, 269, 272, 1107, 14424, 267, 4766, 543, 4194, 4052, 2042, 585, 1384, 1892, 23794, 272, 28629, 272, 8160, 269, 272, 12500, 281, 2527, 270, 7076, 1496, 1721, 1383, 267, 5230, 270, 2775, 267, 18219, 982, 267, 14402, 982, 6540, 1012, 2136, 2276, 1107, 5871, 11759, 3557, 11621, 692, 1892, 476, 7462, 918, 8160, 291, 1107, 20970, 1299, 4578, 454, 1892, 9119, 692, 1892, 918, 8160, 291, 269, 272, 1107, 14674, 22905, 10305, 540, 3615, 267, 971, 607, 3259, 610, 2597, 269, 14674, 1896, 22905, 10305, 540, 513, 2582, 1843, 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 ]

[ 0, 5814, 4351, 454, 2745, 2891, 7052, 265, 955, 7052, 265, 654, 5085, 4596, 10933, 5990, 645, 5456, 294, 12239, 30316, 8577, 5058, 717, 28719, 2878, 30995, 9339, 7052, 265, 15419, 29674, 307, 2586, 815, 476, 271, 692, 2745, 2891, 1432, 568, 707, 2012, 14609, 344, 286, 2580, 1439, 6889, 19515, 4067, 815, 3403, 4590, 2745, 2891, 2791, 723, 1152, 476, 4962, 7058, 547, 2119, 24333, 2012, 2020, 15893, 815, 4351, 27110, 263, 272, 267, 476, 1911, 2020, 1721, 7058, 307, 2586, 538, 2039, 263, 276, 2187, 825, 1820, 2891, 12648, 513, 7058, 5602, 825, 7058, 815, 3403, 4590, 825, 7058, 815, 703, 263, 29674, 2020, 825, 952, 7058, 2999, 1297, 912, 1038, 1820, 2891, 7312, 7058, 568, 1932, 1970, 5602, 825, 952, 7058, 3436, 1297, 912, 1038, 1820, 2891, 7312, 7058, 568, 1932, 1164, 5602, 825, 952, 7058, 2652, 1297, 912, 1038, 2736, 692, 604, 7058, 2652, 1297, 912, 825, 7058, 307, 2586, 815, 1193, 263, 29674, 307, 2586, 1341, 476, 272, 994, 825, 1820, 2891, 2791, 3094, 1310, 2580, 7058, 307, 2586, 267, 834, 29674, 15419, 604, 7058, 11203, 1297, 912, 825, 1297, 815, 1193, 28840, 994, 825, 1820, 2891, 2791, 616, 856, 540, 519, 2039, 476, 4962, 5602, 825, 1820, 2891, 763, 1297, 594, 729, 3206, 540, 729, 24333, 1297, 267, 834, 1701, 264 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 454, 3698, 23396, 263, 569, 560, 267, 328, 25814, 2187, 453, 18851, 2750, 4219, 519, 3688, 693, 2990, 1775, 543, 795, 1547, 12163, 453, 31184, 284, 569, 560, 5157, 2639, 453, 569, 560, 5157, 24557, 569, 560, 14728, 2639, 453, 569, 560, 14728, 24557, 31184, 7531, 3698, 844, 545, 4242, 677, 263, 569, 560, 2187, 453, 638, 6506, 677, 13900, 704, 263, 569, 560, 267, 271, 267, 6352, 263, 569, 560, 9984, 272, 2020, 692, 3698, 844, 6506, 677, 13900, 704, 263, 569, 560, 267, 3847, 267, 2431, 2187, 14851, 2451, 283, 2431, 912, 453, 453, 335, 643, 582, 19613, 284, 4820, 819, 263, 569, 560, 267, 3847, 267, 2431, 994, 453, 453, 638, 6506, 677, 13900, 704, 263, 569, 560, 267, 3847, 28872, 643, 582, 19613, 268, 272, 994, 453, 453, 638, 6506, 677, 13900, 704, 263, 569, 560, 28872, 643, 582, 19613, 266, 272, 267, 2431, 2020, 692, 3698, 15652, 263, 569, 560, 267, 3847, 267, 2431, 2187, 453, 258, 22772, 519, 22141, 543, 5385, 621, 609, 519, 2063, 6221, 454, 453, 332, 1497, 14352, 3847, 266, 2431, 264, 2260, 273, 454, 453, 335, 643, 582, 284, 569, 560, 314, 2431, 2639, 453, 569, 560, 314, 332, 1497, 24557, 569, 560, 314, 2431, 2639, 453, 569, 560, 314, 2431, 24557, 335, 643, 582, 454, 453, 258, 13729, 519, 10465, 1448, 547, 1101, 2990, 454, 453, 20129, 776, 284, 3847, 454, 453, 258, 332, 913, 3688, 1447, 982, 22141, 547, 519, 2451, 3097, 22610, 4994, 538, 2039, 263, 3847, 267, 2431, 2187, 453, 14851, 11430, 560, 27709, 316, 283, 335, 643, 582, 912, 4848, 453, 1873, 777, 263, 569, 560, 267, 8161, 14720, 895, 776, 994, 4848, 453, 20129, 776, 23785, 272, 454, 453, 258, 2750, 4219, 4214, 540, 519, 23396, 1599, 4422, 1934, 454, 453, 1873, 777, 263, 569, 560, 267, 2431, 14720, 895, 776, 994, 16596, 10465, 19638, 692, 5814, 4351, 8528, 3698, 1292, 4433, 1125, 284, 736, 29679, 677, 284, 638, 545, 4242, 677, 2187, 453, 569, 560, 17342, 2639, 22610, 1293, 538, 2039, 4433, 1125, 2187, 453, 453, 569, 560, 6910, 263, 12690, 27110, 263, 272, 267, 21653, 266, 272, 4917, 13537, 263, 569, 560, 994, 453, 338, 677, 263, 569, 560, 994, 13537, 263, 569, 560, 2020, 692, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 28751, 453, 10852, 4590 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8702, 547, 938, 5767, 7045, 883, 519, 4241, 1158, 540, 5904, 256, 4653, 267, 649, 786, 2263, 1945, 1572, 519, 834, 2889, 322, 257, 6119, 2448, 269, 5213, 1405, 5855, 827, 1018, 602, 1797, 1175, 2943, 282, 676, 519, 1439, 540, 713, 3992, 267, 596, 3513, 723, 513, 4396, 1620, 540, 875, 621, 1568, 543, 1946, 621, 781, 1271, 780, 5331, 707, 2780, 607, 513, 14297, 2749, 609, 1114, 16973, 1141, 1585, 2238, 1491, 1747, 269, 3962, 3498, 267, 3014, 267, 610, 1062, 1599, 814, 922, 2189, 2232, 1369, 713, 5318, 1558, 24227, 269, 3767, 267, 1577, 781, 1589, 540, 519, 834, 2889, 322, 257, 6119, 2448, 607, 513, 2027, 4786, 540, 713, 2749, 1765, 821, 602, 2636, 721, 547, 32708, 3330, 891, 3156, 543, 1174, 875, 789, 960, 1247, 789, 2811, 909, 543, 4881, 269, 15346, 267, 1318, 2496, 4131, 781, 4685, 4514, 883, 519, 1523, 540, 519, 834, 2889, 322, 257, 6119, 2448, 543, 1294, 1018, 2306, 621, 865, 9058, 269, 1284, 2907, 5018, 602, 621, 3252, 899, 513, 4786, 267, 3850, 721, 547, 1413, 693, 519, 6418, 25029, 540, 3157, 8345, 593, 707, 2780, 269, 1809, 1018, 1281, 602, 2731, 1611, 286, 4270, 267, 4952, 4730, 707, 5172, 3381, 3014, 267, 543, 10393, 267, 596, 1831, 8049, 827, 875, 1082, 3197, 972, 616, 538, 519, 1650, 269, 2060, 519, 948, 540, 519, 834, 2889, 322, 257, 6119, 2448, 267, 649, 1223, 2965, 1265, 856, 2439, 3086, 267, 594, 917, 1018, 596, 1522, 581, 3206, 281, 834, 3719, 7227, 267, 3884, 1405, 602, 32415, 2576, 781, 7834, 8119, 4279, 2243, 256, 1306, 1454, 1187, 607, 2879, 334, 14563, 1472, 4992, 267, 649, 991, 547, 2327, 3025, 781, 3106, 543, 3354, 269, 2334, 781, 1141, 2934, 899, 834, 327, 728, 3671, 257, 2097, 538, 13561, 269, 5994, 1373, 2111, 547, 9376, 1978, 2127, 540, 519, 4786, 2476, 950, 14538, 3643, 267, 4180, 1152, 17101, 2043, 666, 1569, 6213, 1344, 269, 1635, 4259, 519, 834, 327, 728, 3671, 257, 1871, 547, 476, 272, 267, 2834, 3755, 4465, 1405, 581, 4847, 547, 1093, 651, 1472, 538, 1866, 262, 1870, 267, 1818, 2386, 3388, 13978, 2922, 543, 3280, 780, 296, 4126, 596, 10150, 1565, 827, 519, 834, 2889, 322, 257, 6119, 2448, 543, 922, 11580, 256, 5457, 267, 1256, 1498, 649, 8268, 513, 6263, 851, 540, 519, 1950, 7122, 3330, 707, 2780, 267, 1169, 2370, 3787, 2337, 721, 5660, 1175, 875, 5863, 2029, 5963, 568, 269, 19402, 1985, 942, 267, 6126, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2889, 322, 910, 1184, 1344, 29660, 1922, 3796, 2448, 454, 763, 22876, 6119, 2448, 568, 513, 29660, 1922, 3796, 2448, 799, 2488, 606, 8818, 547, 17830, 1239, 3889, 269, 898, 568, 4122, 15841, 693, 1315, 2889, 322, 269, 4107, 540, 621, 568, 1224, 26209, 267, 855, 930, 6119, 1450, 17830, 4632, 547, 581, 4957, 269, 6778, 3681, 634, 22876, 6119, 2448, 7028, 519, 1739, 4410, 3681, 281, 12404, 3671, 284, 333, 630, 26238, 12380, 476, 274, 269, 274, 264, 901, 4781, 8060, 945, 666, 1569, 519, 1344, 538, 1315, 2889, 322, 270, 314, 3671, 316, 1463, 1559, 269, 634, 4661, 267, 562, 267, 568, 835, 540, 519, 1739, 2418, 281, 476, 271, 5272, 7853, 949, 1569, 782, 1315, 2889, 322, 270, 314, 3671, 316, 1463, 1559, 269, 901, 568, 519, 2757, 2623, 267, 543, 519, 9949, 952, 713, 4410, 4781, 568, 711, 9138, 269, 476, 272, 20305, 949, 711, 1569, 6119, 543, 1016, 29715, 1559, 3330, 1022, 1315, 2889, 322, 270, 314, 3671, 316, 1463, 1559, 855, 741, 1378, 630, 1492, 1315, 2889, 322, 270, 314, 3671, 316, 1463, 1559, 2933, 2611, 7298, 1040, 11576, 1438, 6119, 971, 607, 1315, 2889, 322, 270, 314, 3671, 316, 270, 9492, 323, 1467, 543, 1315, 2889, 322, 270, 314, 3671, 316, 270, 560, 9850, 616, 1631, 6870, 1996, 824, 3755, 269, 901, 2306, 621, 7543, 547, 1451, 2436, 1022, 3593, 568, 4881, 513, 1808, 1982, 630, 810, 1279, 607, 519, 1982, 3085, 1405, 522, 628, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 14691, 1315, 27122, 1315, 21642, 631, 10248, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3383, 267, 875, 1281, 519, 2545, 22083, 960, 630, 663, 875, 666, 596, 798, 519, 1482, 3364, 538, 606, 981, 264, 2496, 763, 1739, 1505, 5205, 519, 1259, 630, 520, 2547, 538, 6240, 264, 602, 519, 10084, 29441, 10872, 31758, 4834, 1384, 12648, 519, 3830, 1384, 290, 340, 1341, 670, 17472, 274, 9847, 19923, 263, 17472, 274, 264, 273, 1341, 12971, 1341, 670, 273, 302, 780, 5575, 2322, 7164, 14170, 593, 782, 1106, 27909, 12327, 4753, 8976, 519, 1101, 267, 4734, 713, 693, 476, 272, 780, 290, 340, 1341, 513, 670, 17472, 274, 9847, 536, 19923, 263, 17472, 274, 264, 273, 1341, 524, 12971, 1341, 546, 670, 273, 302, 780, 10190, 12337, 519, 1367, 11046, 3347, 971, 602, 454, 516, 716, 656, 8444, 815, 1587, 8444, 1384, 19923, 1341, 513, 670, 17472, 274, 25341, 536, 19923, 263, 17472, 274, 264, 273, 1341, 524, 12971, 1341, 546, 670, 273, 302, 19923, 8444, 281, 476, 272, 815, 536, 670, 8444, 513, 815, 476, 273, 546, 715, 8444, 513, 815, 476, 273, 536, 524, 744, 8444, 476, 274, 513, 815, 476, 277, 536, 524, 546, 692, 3383, 476, 275, 4834, 666, 581, 2854, 538, 519, 476, 275, 26968, 985, 1384, 296, 281, 272, 815, 536, 692, 2862, 281, 513, 815, 476, 273, 323, 692, 7656, 281, 513, 815, 476, 273, 321, 1341, 524, 692, 4353, 281, 476, 274, 320, 815, 476, 277, 321, 1341, 524, 1341, 546, 692, 3086, 782, 602, 568, 2877, 568, 547, 4194, 585, 519, 4632, 513, 267, 536, 267, 524, 267, 543, 546, 780, 7712, 536, 815, 476, 272, 630, 296, 264, 543, 513, 815, 476, 273, 323, 630, 7656, 1070, 692, 11357, 560, 3482, 585, 536, 538, 8633, 547, 2285, 630, 309, 264, 513, 815, 476, 273, 1341, 524, 692, 663, 585, 536, 543, 546, 538, 630, 4353, 264, 547, 2285, 630, 9654, 264, 476, 274, 320, 815, 476, 277, 1341, 524, 1341, 513, 270, 273, 630, 528, 476, 276, 320, 270, 273, 815, 476, 277, 1341, 524, 2020, 5804, 966, 267, 12990, 524, 815, 513, 910, 476, 273, 883, 17886, 1384, 276, 320, 270, 273, 815, 476, 277, 1341, 513, 910, 476, 273, 630, 528, 476, 274, 320, 270, 273, 815, 476, 275, 2020, 5804, 799, 513, 815, 476, 279, 270, 274, 780, 3086, 267, 2324, 23651, 281, 524, 815, 513, 910, 476, 273, 815, 476, 279, 270, 274, 910, 476, 273, 815, 476, 273, 270, 274, 692, 663, 6368, 281, 546, 815, 513, 270, 273, 815, 476, 275, 270, 274, 780, 3383, 519, 476, 276, 14170, 630, 514, 1931, 264, 616, 1384, 272, 267, 476, 279, 270, 274, 267, 476, 272, 267, 476, 273, 270, 274, 543, 476, 275, 270, 274, 780, 2414, 1118, 891, 2898, 2338, 267, 9062, 2429, 676, 1614, 547, 1205, 1384, 274, 267, 476, 279, 267, 476, 274, 267, 476, 273, 267, 543, 476, 275, 780, 763, 7059, 3830, 568, 4061, 1384, 274, 19923, 1341, 476, 279, 670, 17472, 274, 9847, 476, 274, 19923, 263, 17472, 274, 264, 273, 1341, 476, 273, 12971, 1341, 476, 275, 670, 273, 302, 780, 3383, 1631, 596, 917, 2439, 2457, 909, 18141, 281, 25272, 8381, 32024, 563, 296, 1131, 5660, 8292, 543, 23937, 676, 552, 13875, 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 ]

[ 0, 306, 12944, 454, 21938, 476, 1724, 267, 476, 1001, 277, 692, 258, 14581, 6435, 281, 2979, 692, 16829, 676, 667, 11921, 593, 13638, 267, 4989, 476, 277, 267, 476, 1001, 271, 693, 476, 272, 281, 1626, 600, 780, 6011, 1082, 20990, 540, 1216, 1590, 581, 3773, 547, 476, 1789, 20990, 540, 513, 476, 736, 260, 4568, 3070, 547, 32561, 621, 547, 513, 476, 1428, 260, 3070, 888, 1892, 2979, 910, 27342, 335, 2720, 2917, 267, 13638, 267, 4989, 476, 277, 267, 476, 1001, 271, 693, 476, 278, 281, 4029, 600, 692, 9767, 616, 32561, 532, 621, 476, 736, 270, 1428, 284, 272, 269, 18357, 2053, 692, 11754, 835, 851, 3070, 267, 1547, 18357, 18357, 1216, 780, 1607, 1797, 952, 835, 851, 568, 476, 1789, 20990, 267, 1039, 476, 1015, 20990, 1216, 780, 13425, 281, 1547, 273, 265, 1789, 14370, 2412, 266, 1015, 6661, 277, 270, 2412, 284, 269, 1428, 610, 476, 1428, 2600, 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 ]

[ 0, 20797, 14572, 6034, 543, 769, 2091, 7352, 566, 13445, 12039, 1923, 10789, 273, 20081, 3419, 12039, 1923, 3204, 757, 11929, 16721, 4741, 692, 24169, 519, 1739, 8390, 2042, 1210, 519, 1697, 4542, 780, 476, 272, 24438, 631, 9775, 2047, 609, 533, 269, 1109, 1403, 1109, 300, 815, 476, 4037, 950, 533, 815, 476, 1015, 267, 1265, 631, 950, 533, 815, 476, 1626, 780, 476, 273, 681, 9775, 11201, 569, 609, 4756, 570, 269, 1109, 1403, 681, 568, 476, 12739, 950, 570, 815, 476, 2190, 267, 476, 1109, 22772, 681, 950, 570, 815, 476, 1789, 780, 476, 274, 24438, 962, 9775, 24973, 609, 623, 543, 1627, 269, 5231, 1403, 962, 815, 476, 13893, 950, 623, 815, 476, 1321, 543, 1627, 815, 476, 279, 267, 1265, 962, 950, 623, 815, 476, 1428, 543, 1627, 815, 476, 1839, 780, 476, 275, 634, 4320, 267, 966, 267, 540, 513, 3154, 9775, 11201, 569, 607, 519, 2604, 267, 533, 267, 538, 513, 8708, 269, 1109, 1403, 519, 4320, 540, 513, 3154, 568, 476, 1220, 764, 950, 519, 2604, 568, 476, 272, 269, 277, 20990, 829, 4009, 1298, 9014, 267, 1265, 519, 4320, 630, 1729, 519, 14282, 20870, 264, 950, 519, 2604, 568, 476, 273, 269, 279, 20990, 829, 13483, 1298, 9014, 269, 780, 476, 276, 24438, 570, 9775, 2047, 609, 519, 4009, 540, 544, 269, 1403, 570, 568, 476, 279, 950, 544, 815, 476, 273, 267, 1265, 570, 950, 544, 815, 476, 275, 780, 476, 277, 769, 2257, 267, 835, 3069, 540, 1272, 19104, 2829, 602, 519, 14438, 540, 11864, 9775, 11201, 569, 547, 519, 1297, 540, 2295, 2041, 1846, 829, 8792, 540, 519, 3662, 269, 1109, 1403, 513, 575, 8538, 559, 781, 2295, 20054, 476, 11740, 2053, 829, 8792, 543, 2729, 606, 3328, 540, 476, 274, 269, 276, 1296, 267, 1018, 1131, 581, 519, 1272, 19104, 540, 513, 1480, 609, 606, 3328, 540, 476, 7761, 20054, 829, 8792, 286, 1109, 6496, 713, 3069, 2408, 547, 3180, 585, 3425, 2496, 13445, 12039, 1923, 10789, 273, 20081, 3419, 12039, 1923, 3204, 757, 11929, 16721, 4741, 23095, 676, 19291, 21662 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 268, 1107, 2025, 1286, 12483, 3248, 268, 1107, 18849, 17180, 3248, 268, 1107, 4496, 23805, 3248, 268, 1107, 12853, 3070, 3248, 268, 1107, 16070, 32291, 563, 7093, 6768, 519, 12483, 543, 782, 2556, 2326, 269, 3245, 519, 2645, 596, 786, 991, 513, 25921, 8325, 2989, 18849, 17180, 543, 606, 5086, 32291, 269, 1677, 1118, 2095, 8538, 2644, 621, 568, 1732, 547, 1491, 513, 12483, 540, 16865, 2504, 269, 9521, 6469, 18646, 267, 16865, 616, 1454, 811, 13412, 267, 865, 789, 616, 4443, 547, 2490, 856, 563, 4415, 513, 18849, 17180, 267, 16013, 519, 12483, 593, 519, 1647, 1899, 540, 922, 960, 2627, 269, 1677, 1118, 519, 2104, 8768, 5127, 723, 513, 811, 10694, 1413, 267, 596, 666, 2759, 707, 32179, 711, 1279, 2595, 3373, 267, 855, 1990, 580, 345, 698, 269, 1924, 596, 666, 1205, 4190, 21083, 24968, 269, 1809, 596, 949, 1134, 7110, 519, 12483, 609, 1225, 569, 18921, 1154, 543, 1310, 519, 1292, 18309, 269, 7994, 519, 4781, 602, 4667, 1447, 942, 21791, 547, 596, 563, 2414, 1832, 519, 960, 2469, 5488, 267, 21237, 6632, 519, 17180, 538, 513, 12853, 3070, 269, 28981, 519, 12483, 2394, 519, 17180, 18953, 519, 4496, 10260, 269, 1677, 2490, 519, 12483, 856, 568, 4443, 267, 16013, 519, 10260, 609, 4496, 23805, 610, 606, 5086, 32291, 269, 634, 8545, 4781, 1131, 3648, 3432, 909, 519, 960, 563, 290, 7491, 593, 519, 4496, 10260, 1118, 827, 476, 1428, 4699, 6306, 269, 28528, 4283, 519, 5969, 1167, 883, 519, 3382, 543, 2046, 519, 1907, 2394, 31168, 10836, 689, 519, 12210, 563, 2691, 782, 519, 960, 540, 16013, 2719, 519, 12483, 568, 8737, 267, 8399, 547, 2490, 519, 12483, 856, 2047, 269, 12414, 856, 519, 1587, 538, 1507, 2694, 267, 7930, 2810, 519, 5305, 2627, 540, 519, 12483, 269, 901, 960, 568, 1360, 942, 21791, 267, 8506, 9639, 543, 16517, 1145, 269, 1879, 519, 12483, 568, 18202, 856, 676, 827, 3368, 267, 2119, 547, 4019, 513, 811, 1713, 3196, 543, 2490, 621, 856, 4625, 563, 16352, 8737, 519, 1184, 267, 4983, 707, 5137, 269, 1306, 513, 1267, 267, 596, 1058, 1205, 513, 5033, 4565, 766, 540, 513, 2620, 12826, 2348, 513, 9962, 5580, 851, 29600, 676, 21083, 24968, 269, 3767, 5862, 713, 12826, 609, 513, 2681, 3617, 5862, 543, 1305, 621, 538, 707, 6074, 1747, 607, 513, 8768, 5127, 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 ]

[ 0, 5522, 622, 570, 624, 9582, 5675, 12143, 454, 10743, 2347, 513, 1603, 7084, 5059, 593, 519, 946, 540, 1239, 547, 1489, 519, 3069, 540, 6676, 23033, 9582, 269, 1358, 1569, 1239, 1210, 519, 834, 5978, 25674, 14136, 257, 7131, 15375, 267, 7001, 2592, 540, 519, 1239, 13602, 267, 543, 6451, 873, 883, 741, 1603, 269, 570, 454, 280, 628, 910, 14451, 3798, 3163, 476, 2420, 14358, 476, 10170, 20042, 454, 7476, 519, 16514, 910, 27275, 16661, 28977, 543, 4033, 10439, 11724, 725, 454, 8489, 553, 519, 3992, 568, 606, 2079, 540, 4365, 5829, 1239, 267, 621, 666, 581, 1031, 538, 1022, 2257, 1362, 547, 4001, 875, 547, 2689, 1239, 267, 11708, 267, 543, 3308, 3631, 585, 22317, 1344, 267, 543, 875, 3006, 891, 11269, 948, 547, 12172, 2483, 276, 628, 910, 476, 280, 628, 3163, 454, 8794, 17164, 566, 267, 2776, 27457, 2787, 267, 543, 17183, 18323, 547, 5530, 8693, 2098, 2158, 454, 8794, 8331, 781, 14970, 7457, 18218, 267, 3618, 3744, 5635, 519, 2837, 267, 13247, 267, 543, 28348, 3017, 10664, 4994, 585, 2185, 1114, 6753, 269, 1358, 946, 519, 1239, 547, 2697, 519, 2916, 7997, 540, 1142, 4087, 1210, 2483, 277, 628, 910, 476, 1321, 628, 3163 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12892, 21637, 518, 267, 6406, 7126, 2920, 22999, 269, 1261, 729, 513, 1283, 9114, 23133, 547, 3220, 269, 9410, 13162, 3751, 267, 12789, 1421, 12180, 1010, 2038, 22415, 1127, 543, 23405, 2066, 519, 3162, 269, 1261, 5280, 1291, 519, 15292, 2066, 519, 31611, 8891, 339, 639, 15167, 538, 17286, 2742, 267, 17665, 267, 593, 4728, 476, 278, 267, 476, 3422, 276, 267, 950, 3043, 7708, 641, 619, 543, 521, 615, 858, 781, 1244, 583, 625, 1031, 15237, 3154, 267, 3781, 560, 6506, 543, 627, 2354, 547, 2736, 909, 519, 15292, 269, 634, 30891, 936, 713, 10071, 267, 1634, 607, 834, 26108, 344, 10732, 2580, 3366, 547, 519, 8574, 540, 519, 966, 7627, 7126, 2920, 269, 769, 476, 3192, 271, 267, 1010, 17933, 1996, 6710, 3366, 1864, 547, 1376, 24611, 781, 5993, 834, 293, 3975, 634, 12017, 787, 543, 13067, 6804, 257, 21175, 12129, 267, 4543, 5215, 540, 4057, 543, 15602, 1169, 1032, 547, 6980, 267, 13508, 267, 543, 1072, 1416, 269, 769, 476, 2735, 278, 267, 646, 3366, 1079, 22415, 1127, 883, 674, 832, 2814, 6019, 267, 11908, 267, 513, 1287, 12303, 782, 22554, 6917, 10315, 5087, 540, 24611, 799, 2663, 2968, 513, 3728, 21212, 24611, 1016, 7875, 269, 634, 1101, 15292, 3366, 547, 513, 30925, 1141, 27173, 918, 12999, 918, 17427, 2818, 543, 18793, 669, 5896, 7292, 1793, 2720, 543, 10652, 1540, 873, 609, 7725, 543, 14569, 269, 634, 2034, 15292, 998, 674, 832, 2814, 6019, 13631, 936, 476, 736, 267, 1822, 5171, 543, 2968, 519, 4102, 3540, 2924, 17431, 2094, 519, 476, 3422, 271, 338, 269, 1261, 10294, 5128, 547, 581, 834, 684, 321, 4454, 543, 30898, 1601, 539, 2580, 9236, 5128, 547, 3751, 781, 824, 9114, 9790, 1218, 945, 1185, 10736, 741, 7681, 609, 519, 3540, 2924, 3350, 883, 29988, 1164, 1790, 11691, 11678, 585, 2933, 563, 27807, 676, 281, 19378, 13879 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18439, 11020, 22709, 454, 18704, 692, 258, 6201, 540, 9695, 2079, 692, 1607, 1543, 729, 5254, 5357, 2894, 689, 11020, 22709, 2593, 910, 7348, 519, 3312, 267, 543, 1205, 519, 2907, 10687, 921, 1540, 3070, 1934, 2439, 5629, 649, 1376, 547, 1589, 827, 621, 267, 9695, 568, 3730, 538, 1082, 1114, 3871, 269, 12315, 606, 1383, 540, 875, 596, 1522, 946, 9695, 2079, 538, 707, 960, 269, 1306, 851, 540, 707, 2626, 2285, 519, 2203, 596, 1131, 946, 543, 2491, 1946, 596, 8359, 519, 1808, 4830, 4632, 2016, 538, 707, 2203, 269, 594, 1378, 1250, 1378, 23891, 3218, 658, 2754, 780, 10059, 2517, 28090, 21346, 2593, 23995, 520, 2524, 270, 2958, 1833, 20400, 270, 1410, 3263, 6361, 15696, 1833, 20400, 268, 27840, 280, 6246, 692, 2971, 8827, 2776, 1613, 692, 8450, 7923, 3758, 780, 1103, 26539, 707, 1378, 23891, 3218, 658, 2754, 267, 596, 949, 2322, 538, 606, 2179, 540, 3108, 1142, 3923, 269, 901, 2179, 949, 4268, 269, 3683, 513, 476, 1321, 18881, 1974, 596, 949, 3328, 1346, 2338, 267, 855, 713, 3085, 1405, 2995, 27250, 2971, 8827, 12834, 692, 11405, 568, 606, 1383, 538, 9185, 540, 5276, 9695, 4294, 547, 3108, 12605, 585, 513, 23891, 3218, 658, 1507, 1870, 780, 15478, 273, 269, 866, 454, 13436, 5403, 532, 692, 1012, 15932, 12726, 692, 288, 2487, 2376, 538, 645, 7572, 1145, 10432, 7396, 519, 1655, 1507, 3549, 269, 1284, 616, 5461, 538, 519, 1699, 2164, 540, 519, 3549, 6455, 543, 15271, 269, 589, 4351, 3732, 540, 476, 1321, 3549, 729, 5697, 543, 519, 6455, 543, 15271, 267, 538, 6634, 540, 9489, 267, 616, 4080, 2630, 780, 4467, 11952, 19833, 2423, 11789, 454, 7268, 259, 6634, 264, 630, 15478, 15271, 2020, 303, 23981, 3627, 781, 4139, 476, 8660, 269, 273, 476, 275, 269, 280, 692, 7343, 29736, 16743, 476, 1240, 269, 277, 476, 275, 269, 275, 692, 18204, 2350, 732, 476, 1240, 269, 273, 476, 272, 269, 274, 692, 310, 718, 4578, 476, 10170, 269, 278, 476, 279, 269, 271, 692, 291, 822, 1749, 517, 4889, 919, 476, 6812, 269, 277, 476, 277, 269, 277, 692, 2419, 4815, 781, 674, 553, 476, 5379, 269, 279, 476, 275, 269, 272, 692, 4467, 11952, 19833, 2423, 11789, 454, 7268, 259, 6634, 264, 630, 15478, 6634, 2020, 13425, 22940, 22997, 476, 1704, 269, 276, 476, 273, 269, 277, 692, 305, 5819, 717, 8692, 476, 1556, 269, 280, 476, 272, 269, 278, 692, 300, 8862, 1511, 476, 866, 269, 277, 476, 274, 269, 276, 692, 306, 6326, 9539, 4149, 331, 728, 476, 7906, 269, 273, 476, 279, 269, 273, 692, 291, 320, 580, 476, 2764, 269, 277, 476, 277, 269, 271, 692, 290, 984, 571, 717, 6504, 476, 7597, 269, 273, 476, 1321, 269, 279, 692, 4131, 6455, 581, 519, 4830, 4756, 543, 15271, 581, 519, 8200, 4756, 780, 288, 269, 8571, 513, 14649, 4511, 4048, 332, 780, 289, 269, 30770, 519, 1071, 18026, 540, 9756, 780, 290, 269, 30770, 519, 1071, 18026, 540, 8990, 780, 291, 269, 19873, 707, 4681, 538, 851, 645, 543, 595, 780, 292, 269, 14419, 519, 9695, 3830, 780, 293, 269, 585, 513, 1507, 2754, 609, 476, 2004, 269, 271, 2929, 538, 6455, 267, 7447, 519, 15271, 780, 8698, 9509, 5403, 532, 19672 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15079, 421, 375, 502, 18777, 353, 15159, 18743, 454, 11133, 815, 346, 8679, 2745, 263, 6943, 16325, 4297, 1948, 2999, 5035, 1412, 18743, 262, 285, 692, 11133, 815, 2715, 272, 267, 273, 267, 274, 267, 275, 348, 282, 1820, 263, 6943, 16325, 4297, 282, 567, 1948, 2999, 5035, 1412, 3553, 262, 285, 692, 11133, 273, 815, 2715, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 276, 267, 276, 267, 275, 267, 274, 267, 273, 267, 272, 8679, 2745, 16325, 273, 5148, 4449, 567, 1948, 28859, 505, 484, 12571, 486, 30317, 27381, 510, 417, 498, 363, 13601, 8147, 25263, 504, 420, 485, 359, 20693, 357, 31308, 375, 26406, 487, 19404, 491, 14035, 491, 7511, 30317, 27381, 510, 692, 2745, 12759, 16325, 273, 4297, 3546, 1948, 28859, 505, 484, 12571, 486, 7511, 30317, 27381, 510, 14748, 12255, 7531, 258, 1003, 273, 314, 273, 316, 567, 476, 2971, 7462, 476, 21251, 418, 498, 363, 418, 490, 479, 27381, 351, 19764, 499, 8147, 18713, 510, 20992, 421, 505, 484, 12571, 486, 20721, 510, 31365, 563, 2018, 1948, 7392, 13286, 281, 1412, 3553, 262, 1843, 1281, 711, 1489, 4994, 532, 7531, 3553, 272, 815, 1305, 3890, 282, 2745, 263, 3553, 272, 267, 6943, 263, 3553, 272, 4297, 282, 476, 1948, 476, 21251, 15159, 346, 9574, 476, 26033, 490, 15159, 3553, 30800, 3553, 272, 815, 1305, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 316, 5148, 2745, 263, 3553, 272, 5148, 1948, 476, 17958, 23746, 13213, 511, 28786, 28098, 420, 365, 350, 22909, 482, 20881, 510, 3553, 692, 258, 17276, 478, 492, 18263, 486, 17958, 7511, 28786, 419, 510, 479, 14395, 508, 27064, 364, 22909, 482, 20881, 510, 1305, 692, 11133, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 276, 267, 276, 267, 275, 267, 274, 267, 273, 267, 272, 267, 271, 2639, 31184, 815, 11713, 1721, 1142, 538, 1003, 272, 912, 825, 952, 1142, 711, 538, 10917, 912, 1038, 10917, 6910, 16216, 778, 994, 13872, 2745, 3890, 282, 2745, 6025, 11391, 264, 4449, 1948, 476, 10524, 483, 31308, 375, 26406, 487, 19404, 491, 14035, 491, 7511, 29219, 8147, 10533, 368, 12916, 497, 421, 350, 374, 31365, 21251, 9463, 502, 454, 11133, 272, 815, 1592, 263, 3553, 6025, 11391, 4297, 282, 2745, 16325, 272, 264, 476, 1948, 476, 20069, 10429, 370, 10524, 500, 28098, 420, 365, 350, 13213, 505, 27310, 22909, 482, 20881, 510, 3553, 267, 30317, 27381, 510, 25263, 504, 13213, 505, 27310, 26406, 496, 31365, 692, 258, 538, 18998, 2254, 538, 419, 511, 487, 20881, 375, 20001, 495, 10254, 353, 13161, 511, 454, 2745, 263, 273, 538, 1003, 272, 5148, 2745, 263, 277, 711, 538, 1003, 272, 32007, 258, 1039, 267, 24525, 17276, 371, 375, 20693, 510, 25520, 26175, 375, 30522, 353, 30317, 27381, 510, 454, 11133, 272, 815, 1305, 16325, 272, 994, 11133, 272, 14491, 263, 277, 5148, 2745, 16325, 272, 5148, 11133, 272, 31927, 263, 271, 5148, 2745, 16325, 272, 2020, 258, 476, 21251, 23746, 9463, 502, 421, 505, 484, 12571, 486, 27818, 21251, 420, 25693, 13213, 505, 27310, 417, 351, 508, 10254, 510, 24724, 454, 320, 815, 8389, 17899, 564, 8443, 272, 267, 273, 267, 274, 267, 275, 316, 5148, 1820, 5416, 264, 476, 1948, 476, 8389, 17899, 564, 20719, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 348, 2020 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2999, 19370, 476, 273, 281, 4634, 25828, 2338, 11417, 1012, 3962, 1007, 2165, 538, 519, 25828, 5311, 568, 6383, 676, 4946, 519, 3097, 1012, 3105, 1079, 2474, 269, 1635, 4358, 609, 476, 272, 543, 476, 273, 267, 519, 1101, 476, 1015, 2474, 786, 581, 912, 1012, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1724, 267, 476, 2641, 267, 476, 4097, 267, 476, 4649, 267, 476, 8660, 267, 4429, 1012, 1635, 6236, 519, 2474, 538, 519, 25828, 5311, 4171, 2418, 798, 711, 3097, 1012, 9765, 2185, 2929, 267, 1265, 519, 2040, 540, 519, 1256, 29705, 4240, 2474, 780, 320, 284, 272, 454, 321, 284, 273, 454, 8999, 284, 273, 454, 322, 284, 271, 454, 6112, 524, 27045, 6110, 1822, 271, 912, 453, 322, 30381, 17070, 454, 14851, 524, 4939, 273, 2525, 271, 912, 453, 453, 8999, 284, 8999, 25239, 454, 453, 453, 320, 284, 321, 454, 453, 453, 321, 284, 322, 454, 2745, 4433, 636, 2020, 1012, 5775, 518, 2433, 476, 5379, 272, 32699, 273, 692 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1160, 1324, 602, 4399, 8999, 318, 2715, 333, 284, 272, 23685, 13727, 7346, 2765, 346, 8987, 272, 8203, 333, 7346, 6912, 23533, 3686, 4151, 4780, 2471, 692, 3682, 557, 602, 519, 1739, 3126, 4780, 2471, 1384, 11377, 8999, 318, 2715, 333, 284, 272, 23685, 13727, 7346, 2765, 346, 8987, 272, 8203, 333, 7346, 6912, 23533, 3686, 15732, 11377, 2765, 346, 272, 7346, 6912, 23533, 266, 272, 3686, 3436, 1422, 2765, 346, 272, 7346, 6912, 23533, 24995, 6695, 3916, 3709, 333, 1422, 1729, 1422, 13727, 348, 1422, 2765, 346, 272, 7346, 6912, 23533, 3686, 815, 476, 271, 2330, 1924, 267, 519, 20367, 3126, 4780, 2471, 780, 3674, 621, 1318, 547, 1250, 5650, 2496, 8894, 11039, 267, 4399, 2765, 346, 272, 7346, 6912, 23533, 266, 272, 14990, 2741, 1422, 2765, 346, 272, 7346, 6912, 23533, 3686, 8961, 855, 602, 4523, 547, 581, 1018, 596, 991, 269, 1107, 1109, 4517, 28584, 12832, 15614, 2904, 476, 3066, 1412, 1321, 693, 476, 276, 281, 6812, 692, 2414, 946, 10201, 908, 3126, 1449, 585, 3126, 4399, 8999, 8987, 272, 8203, 333, 513, 5332, 259, 596, 1058, 723, 454, 272, 269, 1269, 320, 5332, 315, 28254, 476, 271, 14204, 273, 269, 1269, 320, 5332, 315, 28254, 513, 3709, 333, 266, 272, 21456, 274, 269, 4399, 3916, 513, 5332, 815, 476, 271, 14204, 1103, 707, 1935, 596, 5206, 602, 1269, 320, 3709, 333, 266, 272, 348, 815, 1422, 2765, 346, 272, 7346, 6912, 23533, 266, 272, 3686, 285, 315, 2765, 346, 272, 7346, 6912, 562, 348, 815, 513, 3709, 333, 4151, 799, 568, 4636, 543, 711, 1018, 596, 991, 269, 674, 1460, 621, 543, 707, 3070, 786, 581, 2953, 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 ]

[ 0, 3698, 5595, 318, 24593, 5270, 19906, 2187, 825, 1293, 815, 476, 271, 454, 825, 9704, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 19906, 15892, 1038, 952, 2855, 5157, 316, 11203, 7183, 912, 2018, 952, 2855, 5157, 316, 4939, 476, 273, 2652, 476, 271, 912, 3546, 1293, 815, 1293, 1341, 476, 272, 454, 3546, 9704, 815, 9704, 1341, 476, 272, 454, 2018, 3116, 912, 3546, 9704, 815, 9704, 1341, 476, 272, 692, 825, 2063, 16229, 815, 9704, 1341, 1293, 454, 825, 1775, 815, 2063, 16229, 268, 272, 454, 825, 795, 815, 9704, 268, 272, 454, 825, 1247, 1775, 13843, 476, 271, 912, 1038, 2855, 5157, 316, 815, 2855, 14728, 2639, 1038, 1775, 815, 1775, 910, 476, 272, 454, 1038, 952, 2855, 5157, 266, 272, 316, 4939, 476, 273, 2652, 476, 271, 912, 2018, 2855, 5157, 316, 815, 2855, 14728, 2639, 2018, 1775, 815, 1775, 910, 476, 272, 454, 1038, 795, 815, 795, 268, 272, 454, 825, 2132, 2855, 7531, 3698, 1292, 10031, 825, 2855, 815, 1496, 272, 267, 273, 267, 276, 267, 277, 267, 279, 267, 1015, 267, 7183, 267, 14085, 267, 14085, 267, 14085, 267, 14085, 267, 14085, 2639, 825, 1820, 630, 29602, 318, 24593, 5270, 19906, 11723, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 28751, 825, 1292, 3890 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9741, 27692, 6068, 547, 1628, 1919, 269, 2290, 1554, 267, 1352, 4956, 547, 1628, 513, 5458, 15678, 609, 1079, 12209, 256, 2701, 4941, 519, 1101, 13617, 547, 723, 8370, 19683, 267, 543, 1142, 6989, 547, 723, 3670, 31508, 269, 1809, 1934, 781, 1141, 1352, 2877, 707, 948, 267, 15210, 5467, 910, 1352, 7012, 1405, 2386, 875, 1082, 11623, 1058, 3514, 883, 1142, 10689, 269, 2052, 596, 7058, 286, 2913, 781, 1289, 713, 7164, 1297, 1412, 343, 262, 780, 19602, 267, 1200, 3659, 5484, 729, 8049, 827, 1018, 2186, 540, 15678, 1185, 1114, 2338, 540, 11623, 593, 1142, 6989, 269, 1924, 789, 2893, 1524, 1927, 543, 3323, 23115, 856, 519, 2979, 269, 1358, 6785, 602, 519, 2034, 13617, 1131, 723, 5722, 19683, 267, 543, 1142, 6989, 1131, 723, 8370, 31508, 609, 17288, 11623, 1142, 269, 1656, 519, 2898, 15678, 1590, 723, 4010, 476, 275, 2190, 279, 11623, 2439, 257, 32452, 2437, 1767, 5484, 267, 27012, 1010, 24060, 24617, 267, 834, 10472, 568, 3833, 513, 11015, 10590, 22582, 646, 29860, 909, 689, 1010, 10160, 269, 834, 296, 917, 10590, 646, 608, 13094, 267, 834, 933, 666, 946, 7223, 547, 1265, 856, 875, 1082, 11623, 979, 538, 1142, 10689, 538, 519, 1101, 13617, 15323, 13051, 6045, 2417, 267, 834, 8450, 267, 649, 2907, 917, 602, 519, 1101, 13617, 814, 476, 280, 19683, 543, 476, 277, 31508, 829, 6989, 269, 1403, 649, 9062, 1346, 2338, 267, 1287, 1039, 519, 1267, 547, 519, 1587, 540, 476, 278, 19683, 2053, 476, 280, 31508, 2053, 476, 2412, 11623, 829, 10689, 538, 519, 2034, 13617, 267, 649, 1205, 938, 6264, 2698, 540, 476, 275, 2190, 279, 11623, 3010, 3383, 789, 7229, 5402, 267, 1818, 2386, 711, 547, 4413, 1022, 3268, 610, 7340, 1022, 4642, 525, 269, 2991, 930, 7920, 4946, 267, 18946, 267, 543, 14921, 267, 798, 596, 1616, 547, 917, 1018, 789, 4362, 286, 4270, 267, 1250, 2828, 267, 594, 13842, 547, 14922, 596, 267, 855, 972, 941, 1100, 811, 11623, 2451, 585, 519, 1101, 13617, 256, 898, 8604, 602, 782, 2139, 2230, 729, 1031, 676, 519, 2034, 13617, 269, 901, 6397, 2490, 6026, 2370, 27692, 543, 5484, 606, 1271, 3992, 281, 3006, 267, 1256, 950, 4058, 23939, 267, 2200, 1522, 1869, 2887, 2110, 269, 3807, 899, 3744, 7237, 9465, 2059, 741, 3460, 267, 865, 1932, 1705, 27692, 1247, 14335, 1200, 5326, 15678, 269, 11048, 267, 1169, 4161, 6799, 721, 609, 3255, 547, 1451, 543, 2087, 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, 299, 25475, 568, 2679, 513, 1007, 15678, 609, 1079, 12209, 269, 634, 1101, 13617, 814, 476, 280, 19683, 543, 1142, 6989, 814, 476, 277, 31508, 1142, 609, 1535, 11623, 269, 634, 2034, 13617, 814, 476, 278, 19683, 1142, 609, 476, 280, 31508, 609, 476, 2412, 11623, 1142, 269, 1703, 616, 476, 275, 2190, 279, 11623, 538, 519, 15678, 2698, 563, 2414, 4194, 713, 1966, 267, 649, 991, 547, 3313, 519, 1871, 540, 1535, 267, 799, 4564, 519, 1297, 540, 11623, 538, 1142, 10689, 593, 519, 1101, 13617, 563, 4131, 781, 2736, 1524, 519, 1344, 2016, 912, 10831, 540, 19683, 538, 519, 1101, 13617, 281, 476, 280, 454, 10831, 540, 31508, 593, 1142, 6989, 538, 519, 1101, 13617, 281, 476, 277, 454, 10831, 540, 11623, 538, 1142, 10689, 593, 519, 1101, 13617, 281, 1535, 454, 10831, 540, 19683, 538, 519, 2034, 13617, 281, 476, 278, 454, 10831, 540, 31508, 593, 1142, 6989, 538, 519, 2034, 13617, 281, 476, 280, 454, 10831, 540, 11623, 538, 1142, 10689, 593, 519, 2034, 13617, 281, 476, 2412, 454, 13707, 1297, 540, 11623, 538, 519, 15678, 281, 476, 275, 2190, 279, 454, 2171, 666, 1305, 909, 519, 3830, 607, 5205, 912, 263, 10831, 540, 19683, 538, 519, 1101, 13617, 2608, 7089, 540, 31508, 593, 1142, 6989, 538, 519, 1101, 13617, 2608, 7089, 540, 11623, 538, 1142, 10689, 593, 519, 1101, 13617, 264, 1341, 630, 10831, 540, 19683, 538, 519, 2034, 13617, 2608, 7089, 540, 31508, 593, 1142, 6989, 538, 519, 2034, 13617, 2608, 7089, 540, 887, 334, 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 ]

[ 0, 5814, 7194, 454, 333, 25507, 9272, 15405, 320, 17342, 2639, 1721, 1775, 538, 2039, 263, 271, 19885, 2187, 825, 513, 6910, 17301, 9272, 3890, 4917, 320, 31699, 4590, 2745, 263, 560, 520, 2524, 269, 4364, 1014, 5416, 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 ]

[ 0, 9223, 281, 6904, 7633, 941, 1031, 538, 519, 5478, 540, 519, 2484, 2251, 1446, 799, 941, 12816, 896, 21031, 32293, 454, 12585, 281, 1733, 1446, 14752, 454, 2704, 328, 1162, 281, 645, 1446, 523, 10824, 267, 1733, 1446, 14752, 267, 645, 1446, 523, 267, 1733, 1446, 14752, 524, 832, 564, 267, 1733, 1446, 781, 5642, 267, 1733, 2297, 5642, 267, 1733, 1446, 5642, 267, 645, 4150, 523, 267, 1733, 1446, 14752, 10775, 267, 645, 1446, 523, 6676 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 27387, 281, 16448, 531, 17438, 543, 14412, 692, 272, 269, 12361, 16448, 531, 17438, 543, 14412, 692, 22428, 3167, 1379, 568, 13859, 689, 1079, 4830, 2959, 799, 960, 609, 17831, 476, 271, 269, 275, 267, 476, 271, 269, 276, 267, 6606, 269, 952, 1312, 2959, 616, 3246, 1379, 2614, 1379, 786, 581, 2139, 609, 5506, 476, 272, 269, 952, 4010, 835, 519, 873, 1568, 972, 786, 581, 2614, 1379, 609, 5506, 476, 271, 269, 277, 269, 540, 1576, 267, 952, 9039, 540, 873, 1568, 519, 5506, 602, 972, 786, 581, 6190, 3761, 568, 476, 271, 780, 320, 264, 1018, 616, 519, 17831, 602, 4010, 737, 2959, 960, 585, 737, 284, 271, 267, 272, 267, 273, 888, 321, 264, 4818, 1393, 519, 5506, 602, 2614, 1379, 786, 581, 2139, 780, 273, 269, 589, 994, 288, 284, 12741, 2030, 589, 568, 4881, 563, 289, 815, 5295, 2030, 645, 568, 4881, 780, 7445, 6234, 623, 263, 298, 284, 271, 6661, 263, 272, 6261, 10490, 4297, 263, 272, 6261, 16360, 4297, 284, 630, 272, 268, 271, 269, 275, 7565, 272, 268, 271, 269, 276, 6661, 271, 269, 274, 6911, 7445, 6234, 623, 263, 298, 284, 272, 264, 815, 623, 10490, 7565, 272, 6261, 16360, 4297, 23444, 272, 6261, 10490, 4297, 303, 16360, 264, 11377, 6234, 815, 263, 271, 269, 275, 7565, 272, 268, 271, 269, 276, 11924, 263, 272, 268, 271, 269, 275, 7565, 271, 269, 276, 264, 815, 476, 271, 269, 273, 266, 271, 269, 274, 284, 271, 269, 276, 6911, 7445, 6234, 623, 263, 298, 284, 273, 264, 815, 623, 10490, 264, 303, 16360, 264, 815, 630, 271, 269, 275, 7565, 271, 269, 276, 6661, 271, 269, 273, 6911, 289, 2020, 7445, 6234, 661, 314, 311, 24557, 476, 272, 27456, 263, 298, 284, 273, 4297, 1341, 271, 269, 277, 27456, 263, 298, 284, 272, 4297, 1341, 271, 27456, 263, 298, 284, 271, 4297, 6911, 7445, 6234, 661, 314, 311, 24557, 272, 263, 271, 269, 273, 264, 1341, 271, 269, 277, 263, 271, 269, 276, 264, 1341, 271, 263, 271, 269, 274, 6661, 271, 269, 273, 266, 271, 269, 274, 284, 271, 269, 276, 259 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 15507, 513, 1297, 454, 23714, 25313, 815, 476, 14378, 278, 4281, 274, 454, 26015, 11847, 19948, 454, 16535, 1911, 1911, 9340, 9826, 8099, 18733, 272, 454, 24374, 18089, 22903, 22903, 272, 454, 25148, 22659, 271, 3953, 1724, 454, 276, 4097, 15836, 21854, 454, 29637, 25172, 28664, 454, 278, 2537, 5780, 273, 5655, 454, 24934, 9340, 277, 4097, 278, 454, 4817, 272, 6187, 273, 272, 454, 9818, 271, 2537, 1556, 454, 9340, 9032, 272, 5392, 454, 13199, 2918, 321, 5325, 454, 1724, 320, 6507, 320, 280, 454, 15704, 322, 28796, 454, 14028, 324, 8660, 272, 454, 28411, 5392, 576, 278, 692, 23714, 25313, 814, 476, 275, 16975, 630, 5408, 2630, 1070, 4171, 2040, 568, 21566, 815, 476, 17168, 12208, 269, 4706, 9103, 1304, 568, 26420, 815, 476, 29257, 24423, 780, 763, 3105, 6305, 568, 476, 23714, 26482, 269, 634, 1985, 6305, 568, 476, 23714, 28766, 269, 634, 30729, 540, 476, 23714, 25313, 568, 476, 13647, 10711, 780, 2005, 568, 513, 5033, 760, 31870, 1317, 621, 568, 519, 1587, 540, 1079, 22136, 267, 543, 849, 606, 900, 597, 335, 1307, 267, 2094, 922, 9258, 568, 513, 3982, 5033, 760, 31870, 281, 476, 13647, 10711, 815, 476, 12293, 4792, 280, 780, 2005, 568, 711, 513, 632, 2717, 793, 659, 1297, 267, 1317, 476, 23714, 25313, 910, 476, 1839, 815, 476, 23714, 29344, 568, 513, 6305, 780, 2005, 568, 513, 667, 4428, 15687, 1297, 780, 2005, 568, 513, 21412, 1297, 780, 2005, 568, 711, 606, 796, 18905, 762, 1297, 267, 1317, 621, 666, 581, 4957, 883, 513, 6305, 630, 23714, 28766, 264, 676, 4657, 513, 7857, 780, 2005, 568, 513, 829, 5371, 1190, 1297, 267, 1317, 922, 9352, 6041, 3568, 513, 6305, 1297, 630, 1556, 264, 540, 3283, 780, 2005, 568, 513, 30251, 1297, 267, 2094, 621, 666, 581, 2854, 538, 476, 274, 2081, 607, 513, 2040, 540, 15654, 562, 4405, 1023, 267, 585, 1383, 267, 476, 6434, 278, 276, 1341, 3267, 1341, 476, 279, 3445, 279, 780, 2005, 568, 606, 12980, 1297, 267, 1317, 519, 1611, 540, 922, 16975, 568, 606, 8870, 1297, 630, 8517, 2764, 6393, 15996, 23211, 272, 568, 606, 3284, 32565, 1297, 780, 23714, 25313, 568, 513, 28119, 1297, 267, 2094, 621, 568, 3677, 982, 519, 2040, 540, 922, 1697, 16975, 630, 9965, 4905, 6393, 23714, 25313, 568, 513, 3653, 995, 1297, 267, 2094, 621, 3096, 1447, 9704, 982, 922, 26458, 780, 23714, 25313, 568, 606, 5212, 1190, 1297, 267, 1317, 519, 2040, 540, 922, 9352, 9704, 568, 9642, 780, 763, 2040, 540, 922, 6305, 2188, 568, 476, 9965, 876, 780, 763, 1587, 540, 922, 630, 12061, 14706, 264, 9704, 568, 476, 1240, 267, 1247, 519, 2040, 568, 476, 1015, 780, 763, 4009, 3597, 540, 476, 23714, 25313, 568, 827, 476, 276, 5392, 269, 279, 2764, 15150, 280, 7761, 272, 269, 634, 12945, 3597, 540, 476, 23714, 25313, 568, 827, 476, 6858, 269, 14625, 4037, 272, 19740, 275, 780, 29002, 547, 476, 23714, 25313, 922, 9258, 630, 13647, 10711, 1070, 649, 1205, 513, 5493, 30308, 630, 25870, 276, 1691, 6393, 763, 10259, 540, 476, 23714, 25313, 538, 1913, 568, 834, 22764, 4627, 1079, 8536, 267, 1614, 4627, 22221, 2580, 543, 3976, 621, 568, 606, 16481, 534, 1297, 780, 19667, 30583, 281, 476, 272, 476, 1704, 476, 10082, 10695, 476, 23714, 25313 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2252, 707, 3817, 538, 2290, 9616, 616, 2407, 540, 4967, 267, 596, 666, 1711, 3063, 1603, 2230, 538, 519, 2451, 14345, 610, 538, 519, 1647, 540, 513, 2985, 563, 11900, 1068, 3063, 1603, 2230, 454, 12812, 23453, 3436, 23453, 6611, 563, 31161, 519, 10856, 547, 1858, 1141, 596, 1616, 547, 1039, 519, 2230, 454, 763, 10856, 24072, 786, 2490, 883, 606, 15561, 865, 596, 917, 799, 4287, 596, 666, 8749, 621, 563, 12812, 543, 8749, 519, 15561, 2394, 596, 4076, 2813, 519, 2230, 596, 991, 563, 31738, 281, 1403, 596, 1118, 513, 12161, 267, 2046, 595, 27530, 266, 313, 547, 3768, 334, 707, 2962, 267, 543, 2119, 1586, 563, 7230, 913, 3063, 1603, 2230, 454, 2252, 596, 4894, 1543, 689, 513, 2985, 267, 543, 596, 1616, 547, 4894, 519, 10145, 2230, 2813, 676, 519, 32280, 267, 596, 666, 3142, 519, 6967, 4063, 11149, 543, 3615, 593, 519, 2985, 6251, 1927, 563, 4002, 2985, 609, 1932, 1454, 2230, 267, 4945, 23453, 3436, 23453, 6611, 563, 31161, 519, 10856, 547, 519, 5377, 540, 519, 2230, 596, 1616, 547, 4894, 563, 763, 24072, 786, 2490, 883, 513, 5595, 21758, 15561, 563, 12812, 543, 8749, 519, 15561, 16057, 2394, 596, 4076, 6569, 607, 1454, 2230, 607, 596, 1616, 563, 31738, 281, 1403, 596, 1118, 513, 12161, 267, 2046, 595, 27530, 266, 313, 267, 543, 1287, 2119, 1586, 563, 1432, 798, 596, 1616, 547, 798, 888, 11754, 2230, 9170, 593, 513, 2985, 454, 1103, 707, 4967, 267, 4945, 1141, 596, 1616, 547, 7696, 3063, 1603, 610, 5373, 2230, 630, 1721, 1383, 267, 693, 519, 1439, 540, 513, 5037, 1916, 4002, 519, 23453, 10624, 267, 4945, 23448, 5675, 6611, 4586, 291, 4048, 519, 10856, 24072, 19794, 538, 519, 4287, 8612, 676, 519, 15561, 547, 1039, 607, 1454, 2230, 607, 596, 1616, 267, 543, 1287, 5305, 519, 10856, 7735, 563, 291, 4048, 547, 1039, 2230, 693, 519, 8728, 540, 519, 2985, 610, 1063, 3515, 540, 1257, 563, 11754, 2230, 693, 519, 1439, 540, 513, 2985, 454, 4002, 519, 1699, 2985, 267, 4945, 519, 2480, 2651, 13560, 676, 21009, 8525, 7735, 693, 519, 5377, 540, 519, 7299, 20801, 3046, 630, 604, 7298, 1040 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 32637, 454, 21938, 476, 1556, 267, 476, 1001, 277, 692, 258, 14581, 6435, 281, 10803, 692, 16829, 676, 590, 826, 593, 13723, 267, 4989, 476, 736, 267, 476, 1001, 272, 693, 476, 275, 281, 736, 10975, 780, 26319, 540, 942, 538, 3764, 2838, 547, 2347, 5751, 568, 7856, 609, 513, 1611, 540, 476, 2568, 3764, 543, 513, 31901, 269, 11539, 540, 476, 279, 3764, 269, 1018, 2600, 786, 2154, 1063, 476, 2568, 543, 476, 10602, 3764, 547, 2347, 519, 5751, 286, 1018, 2600, 540, 5171, 786, 2154, 811, 982, 476, 7761, 3764, 547, 2347, 555, 5751, 286, 1018, 2600, 786, 2154, 1063, 476, 2004, 543, 476, 7761, 3764, 547, 2347, 519, 5751, 888, 1892, 10803, 910, 4569, 294, 15843, 267, 13723, 267, 4989, 476, 736, 267, 476, 1001, 272, 693, 476, 278, 281, 1839, 10975, 692, 8196, 1990, 1606, 13990, 543, 513, 1990, 2389, 762, 547, 1265, 707, 21159, 780, 4131, 781, 1413, 693, 519, 1360, 2063, 2243, 543, 1287, 1294, 952, 596, 666, 4137, 856, 519, 824, 1079, 2055, 780, 8340, 1079, 1990, 1606, 13990, 1210, 713, 4542, 912, 345, 815, 630, 343, 910, 1611, 8358, 338, 323, 692, 11743, 815, 476, 2568, 454, 338, 323, 815, 476, 279, 692, 343, 815, 476, 2004, 267, 476, 7761, 692, 11997, 912, 345, 815, 630, 2004, 910, 476, 2568, 8358, 279, 815, 15017, 345, 815, 630, 7761, 910, 476, 2568, 8358, 279, 815, 26042, 296, 3513, 1577, 596, 9096, 519, 9273, 780, 5629, 596, 723, 519, 1990, 1606, 13990, 267, 2638, 513, 1990, 2389, 762, 585, 519, 5506, 1063, 1346, 1079, 8464, 269, 4495, 596, 723, 602, 1871, 267, 6460, 547, 513, 2600, 780, 296, 4126, 713, 786, 948, 1205, 596, 3323, 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, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 31676, 554, 6359, 3855, 2496, 7692, 281, 3143, 267, 594, 10093, 1405, 269, 1548, 781, 602, 2496, 8334, 281, 4270, 267, 621, 781, 1175, 513, 1187, 1259, 547, 2911, 827, 24668, 543, 9644, 1644, 547, 4984, 267, 3226, 538, 13140, 269, 1809, 2221, 267, 1577, 781, 1445, 593, 1210, 1434, 10385, 543, 1455, 2631, 538, 938, 3232, 2729, 780, 7692, 281, 28514, 267, 602, 4992, 4277, 256, 2052, 596, 2285, 803, 930, 1806, 2496, 8334, 281, 17610, 256, 2913, 781, 2161, 707, 3659, 3091, 596, 513, 4235, 267, 855, 596, 917, 596, 4312, 1185, 2614, 2907, 269, 4634, 952, 789, 1832, 1202, 12371, 267, 621, 781, 1271, 547, 6432, 547, 707, 1560, 543, 1118, 513, 5100, 3375, 780, 7692, 281, 7937, 267, 594, 1205, 621, 269, 1924, 267, 621, 781, 827, 1373, 3743, 1256, 950, 2348, 1187, 267, 1318, 2496, 8334, 281, 22549, 256, 3767, 267, 4952, 596, 2811, 693, 513, 5428, 267, 543, 2576, 6645, 513, 24983, 602, 1522, 1055, 754, 1866, 1317, 540, 741, 3909, 4978, 269, 898, 781, 2629, 547, 1589, 1354, 4687, 971, 24668, 267, 607, 789, 1223, 10413, 2576, 781, 4606, 11032, 947, 3320, 780, 7692, 281, 2334, 2306, 2631, 269, 1284, 9327, 1405, 1616, 547, 13347, 4896, 17543, 269, 1215, 827, 713, 1107, 1018, 952, 649, 1294, 1945, 16168, 538, 5939, 286, 9701, 649, 14902, 856, 10978, 1282, 3028, 2496, 8334, 281, 630, 326, 24513, 956, 264, 3143, 267, 4440, 711, 269, 4634, 952, 1945, 16716, 721, 607, 993, 6748, 267, 621, 781, 1898, 547, 1397, 2463, 585, 519, 10723, 2230, 543, 824, 1004, 972, 269, 5502, 267, 6148, 2671, 519, 1650, 2663, 609, 2828, 267, 865, 3025, 666, 2972, 519, 9644, 1510, 23892, 1866, 780, 7692, 281, 23010, 267, 602, 4667, 4023, 269, 1635, 519, 1259, 267, 3884, 1405, 14420, 835, 540, 519, 9510, 10425, 538, 519, 1158, 286, 594, 3314, 2542, 12341, 13718, 8334, 281, 8786, 267, 8197, 256, 2142, 518, 814, 3833, 513, 1279, 1686, 267, 6580, 1394, 5215, 540, 1296, 269, 1717, 267, 1100, 2339, 922, 2085, 267, 2141, 3314, 547, 8532, 4568, 19100, 543, 2760, 936, 4777, 621, 269, 5871, 2631, 4422, 513, 1279, 1259, 538, 4180, 649, 3251, 2922, 543, 2635, 780, 7692, 281, 25999, 256, 8729, 585, 7713, 782, 713, 267, 7705, 269, 594, 1745, 899, 594, 1174, 1732, 1631, 875, 547, 946, 1250, 1455, 2631, 538, 1114, 3871, 1247, 1869, 11981, 1272, 543, 2348, 1187, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21918, 518, 6506, 267, 513, 1106, 540, 14973, 6965, 267, 723, 1044, 513, 2442, 1106, 540, 9913, 585, 5553, 267, 1419, 1336, 693, 16873, 543, 19771, 267, 2523, 1346, 5473, 4568, 269, 1452, 2110, 543, 18854, 1399, 18627, 616, 1419, 1031, 607, 547, 6814, 610, 6704, 3756, 267, 1818, 873, 513, 20013, 538, 6704, 2528, 269, 3371, 779, 3388, 596, 991, 547, 917, 827, 1929, 518, 6506, 543, 741, 1909, 538, 6704, 5389, 563, 2764, 7799, 518, 6506, 6168, 25530, 454, 272, 269, 4258, 619, 547, 519, 13957, 454, 1103, 513, 512, 11232, 333, 1141, 513, 548, 2095, 539, 899, 12535, 2676, 288, 812, 26927, 3139, 1010, 1034, 3304, 9317, 9909, 563, 4415, 1142, 533, 842, 646, 8910, 17869, 2676, 2108, 5194, 5180, 1934, 28461, 307, 650, 519, 1158, 729, 1175, 694, 4461, 543, 20832, 563, 273, 269, 634, 8585, 787, 30179, 518, 454, 2467, 2899, 729, 513, 1786, 4546, 689, 13573, 2676, 2662, 846, 2395, 941, 1034, 5789, 337, 1176, 6170, 563, 3891, 1786, 14954, 609, 971, 1166, 1515, 2676, 288, 956, 1769, 607, 519, 2011, 2676, 14367, 17869, 267, 711, 513, 2582, 1298, 6170, 563, 12441, 1411, 5700, 888, 6826, 518, 568, 835, 540, 519, 9510, 543, 1034, 4922, 10057, 23931, 10425, 538, 519, 1158, 269, 4706, 1686, 7389, 1394, 547, 693, 2547, 519, 476, 276, 628, 26992, 7460, 538, 9459, 269, 1677, 1451, 811, 827, 519, 4241, 1686, 540, 14420, 267, 596, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3891, 13273, 569, 670, 6359, 3855, 257, 607, 851, 540, 834, 295, 9331, 3036, 1315, 13445, 1315, 15215, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5814, 942, 267, 5299, 7531, 5035, 589, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 942, 4732, 2748, 263, 274, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1104, 942, 692, 825, 521, 815, 942, 28333, 4590, 825, 513, 272, 815, 589, 4590, 825, 513, 273, 815, 589, 4590, 825, 513, 274, 815, 589, 4590, 825, 552, 815, 942, 28333, 4590, 825, 1820, 16216, 910, 521, 2020, 825, 521, 815, 942, 28333, 4590, 825, 536, 272, 815, 5299, 6983, 4878, 5416, 272, 994, 825, 536, 273, 815, 5299, 6983, 4878, 5416, 272, 994, 825, 536, 274, 815, 5299, 6983, 4878, 5416, 272, 994, 825, 552, 815, 942, 28333, 4590, 825, 1820, 16216, 910, 521, 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 ]

[ 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 4312, 1044, 2348, 8373, 4466, 707, 9162, 25015, 269, 5620, 596, 3893, 1932, 1082, 540, 873, 2496, 7692, 281, 23010, 267, 7705, 269, 594, 723, 865, 1082, 9162, 602, 594, 3006, 7340, 1141, 594, 2322, 873, 2439, 8334, 281, 4270, 267, 596, 917, 267, 950, 649, 723, 1932, 1454, 540, 1945, 267, 621, 666, 1118, 621, 2182, 585, 721, 547, 946, 610, 2972, 1346, 1919, 269, 901, 4523, 547, 6738, 13522, 1932, 267, 543, 621, 781, 1572, 11876, 8973, 780, 7692, 281, 1548, 781, 11876, 8973, 267, 7705, 2496, 8334, 281, 898, 781, 899, 950, 2576, 25173, 543, 8952, 1932, 1082, 1919, 267, 1256, 8631, 789, 1810, 1405, 2731, 991, 269, 1809, 11876, 8973, 3587, 513, 1966, 950, 621, 6238, 7133, 3232, 1272, 267, 1175, 899, 875, 596, 6560, 547, 1265, 707, 9162, 1631, 780, 7692, 281, 7937, 267, 594, 1294, 269, 1924, 267, 1946, 798, 1004, 11876, 731, 2496, 8334, 281, 1703, 616, 1114, 4128, 269, 6884, 267, 789, 1522, 1205, 7923, 547, 3688, 1317, 789, 7618, 873, 540, 6126, 8823, 269, 2107, 6148, 789, 5855, 602, 789, 786, 991, 519, 6221, 835, 1554, 267, 1256, 1498, 789, 4440, 4465, 1405, 269, 2368, 11570, 849, 4250, 18530, 1919, 2476, 1813, 547, 3653, 6888, 780, 7692, 281, 2334, 4992, 7294, 269, 1215, 666, 789, 3247, 1287, 2496, 8334, 281, 6153, 2243, 256, 3689, 267, 6158, 609, 2576, 789, 3972, 827, 741, 4606, 2509, 5329, 782, 1346, 1919, 2337, 269, 3973, 267, 789, 666, 2119, 18570, 998, 741, 28378, 1927, 267, 3787, 676, 3787, 267, 14045, 1018, 547, 1832, 267, 12235, 2476, 267, 610, 2285, 2476, 269, 14171, 1507, 3268, 2306, 519, 1184, 1447, 11566, 780, 7692, 281, 24439, 2631, 256, 2052, 649, 2119, 3257, 602, 609, 1250, 9162, 2496, 8334, 281, 25999, 256, 2913, 781, 4584, 513, 1906, 9162, 2221, 543, 6430, 799, 3283, 596, 1869, 1404, 609, 543, 2648, 269, 1284, 666, 4558, 873, 28426, 538, 707, 11442, 4216, 1247, 4259, 11735, 1866, 585, 1810, 908, 610, 9657, 269, 6496, 333, 1405, 602, 3280, 1732, 982, 19480, 936, 25985, 540, 16618, 9162, 2496, 7692, 281, 4347, 17802, 267, 7705, 256, 8729, 585, 4543, 803, 1174, 11876, 8973, 543, 3450, 803, 875, 547, 3616, 13616, 1250, 9162, 780, 8334, 281, 3143, 19048, 267, 7585, 256, 5457, 267, 621, 781, 1271, 547, 1589, 5402, 827, 1018, 649, 5963, 1871, 543, 991, 269, 1635, 1373, 13533, 540, 938, 22590, 267, 649, 1711, 2230, 585, 1007, 2833, 543, 8823, 1510, 3478, 16397, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 2985, 3947, 930, 5583, 593, 11876, 8973, 267, 543, 1018, 547, 798, 952, 596, 7237, 621, 269, 1403, 596, 2743, 2576, 945, 596, 1745, 568, 11876, 8973, 267, 610, 693, 1981, 540, 1793, 6235, 883, 11876, 1841, 267, 5225, 454, 268, 3367, 713, 2985, 1107, 547, 1451, 811, 827, 11876, 8973, 454, 268, 13185, 609, 519, 1268, 1107, 1265, 856, 811, 827, 873, 267, 741, 4128, 543, 1018, 568, 513, 1434, 1935, 585, 873, 454, 268, 5192, 948, 1107, 547, 5512, 519, 1268, 547, 1491, 3268, 609, 519, 1489, 789, 991, 269, 1411, 1810, 1406, 991, 547, 1745, 4805, 282, 972, 568, 948, 547, 10994, 621, 267, 543, 1004, 945, 666, 1489, 1312, 596, 543, 519, 1268, 538, 2243, 563, 299, 665, 958, 267, 649, 1616, 912, 268, 1677, 948, 1004, 1376, 593, 741, 13374, 856, 540, 11876, 8973, 563, 268, 1280, 519, 3460, 547, 581, 2318, 543, 1279, 18835, 563, 268, 1677, 948, 7649, 14540, 267, 2043, 543, 1920, 2818, 1265, 856, 875, 1655, 547, 1935, 11876, 8973, 563, 272, 269, 634, 2179, 540, 804, 13616, 454, 295, 334, 8973, 666, 581, 3989, 607, 519, 968, 1410, 947, 633, 4015, 543, 12802, 540, 1022, 1570, 547, 519, 1448, 602, 621, 15641, 525, 1554, 547, 1554, 8647, 892, 689, 29778, 1299, 24162, 267, 476, 1960, 274, 454, 2005, 568, 1898, 547, 1413, 693, 519, 4128, 799, 9114, 3297, 519, 3793, 537, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 23852, 29803, 1315, 3281, 14601, 10263, 1315, 14208, 8973, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 901, 568, 513, 3113, 1966, 563, 258, 3371, 594, 946, 667, 12396, 547, 4194, 713, 1966, 563, 258, 5384, 6988, 568, 744, 263, 347, 309, 347, 266, 347, 292, 347, 264, 543, 2230, 6988, 568, 744, 263, 347, 309, 347, 266, 347, 292, 347, 264, 1141, 966, 568, 1297, 540, 6030, 543, 661, 568, 519, 1297, 540, 29444, 780, 1345, 269, 13765, 815, 1496, 271, 585, 9041, 538, 2039, 16325, 290, 12973, 22708, 1345, 6155, 545, 815, 10070, 269, 29239, 18743, 17338, 994, 1721, 840, 538, 23944, 28987, 912, 825, 1582, 6155, 545, 314, 2181, 314, 271, 316, 4940, 6572, 263, 2181, 314, 272, 7481, 2745, 4311, 6155, 545, 994, 637, 815, 6936, 454, 1721, 1775, 538, 2039, 16325, 290, 12973, 2187, 825, 759, 815, 1582, 269, 4206, 338, 9217, 994, 825, 952, 759, 568, 711, 6936, 912, 1038, 2132, 8771, 454, 8873, 6936, 19638, 3698, 546, 12028, 4311, 22698, 6847, 2187, 825, 952, 1582, 269, 13765, 314, 322, 6847, 316, 2652, 910, 272, 912, 1038, 2132, 8771, 454, 825, 8640, 1582, 269, 13765, 314, 322, 6847, 316, 2652, 476, 272, 912, 1038, 2132, 6936, 454, 825, 1582, 269, 13765, 314, 322, 6847, 316, 815, 910, 272, 454, 825, 5903, 815, 1582, 6155, 545, 314, 322, 6847, 2639, 825, 759, 815, 11713, 825, 1247, 5903, 912, 1038, 840, 815, 5903, 21014, 4590, 1038, 759, 6910, 4311, 269, 4206, 338, 263, 2181, 4917, 825, 1582, 269, 13765, 314, 322, 6847, 316, 815, 476, 272, 454, 825, 952, 759, 2652, 1496, 14158, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 782, 263, 637, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 303, 665, 338, 698, 568, 2110, 585, 5403, 8433, 9208, 5314, 27545, 6828, 543, 568, 513, 533, 4526, 2029, 563, 303, 6162, 585, 1346, 540, 596, 602, 1810, 1406, 917, 267, 616, 12926, 835, 17574, 2792, 3457, 267, 585, 8391, 25887, 610, 2110, 1257, 6835, 563, 2662, 12241, 5985, 630, 3250, 264, 11436, 723, 1500, 533, 6162, 513, 2603, 1447, 2442, 267, 789, 616, 1869, 1031, 563, 23777, 673, 1699, 3755, 616, 10506, 267, 3354, 15372, 1949, 267, 543, 3595, 2533, 563, 763, 5413, 540, 1210, 513, 623, 665, 338, 698, 533, 4526, 2864, 982, 513, 5985, 6049, 568, 5365, 3795, 563, 303, 6162, 946, 513, 3126, 540, 1164, 13324, 10141, 1562, 547, 10141, 519, 5925, 6786, 267, 799, 4163, 519, 5048, 1239, 563, 4322, 1164, 13324, 10141, 1562, 723, 513, 2647, 3795, 1858, 267, 543, 666, 1419, 3914, 2127, 711, 6039, 676, 6325, 5985, 6049, 3795, 563, 763, 11393, 2705, 616, 1344, 3354, 563, 22033, 666, 3362, 581, 18448, 539, 676, 1210, 5266, 10464, 3937, 267, 543, 1863, 29852, 3301, 267, 2139, 2228, 563, 8601, 713, 3668, 540, 1344, 3354, 267, 623, 665, 338, 698, 1759, 533, 6162, 616, 1869, 1373, 1031, 676, 14540, 971, 607, 519, 23244, 630, 13233, 2657, 6796, 267, 538, 519, 5177, 1916, 24309, 676, 30621, 30683 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2961, 4471, 1031, 519, 9241, 11751, 26025, 855, 711, 4793, 878, 807, 1317, 9041, 17329, 519, 24036, 8137, 563, 271, 269, 2961, 4471, 454, 272, 269, 4793, 878, 807, 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, 1 ]

[ 0, 258, 1319, 961, 629, 9103, 566, 5119, 692, 272, 267, 4335, 533, 1206, 13752, 692, 288, 15585, 566, 5119, 568, 2016, 676, 1384, 305, 263, 9064, 6661, 314, 6523, 263, 9064, 1070, 910, 7562, 263, 9064, 5148, 5609, 263, 9064, 264, 5430, 263, 9064, 264, 6540, 320, 269, 8058, 602, 630, 305, 263, 9064, 4297, 28260, 272, 284, 305, 8987, 9064, 264, 585, 1022, 5086, 540, 10047, 630, 9064, 2020, 321, 269, 589, 1133, 3202, 19336, 568, 513, 5119, 267, 799, 25389, 772, 28260, 272, 284, 308, 317, 307, 8058, 267, 1210, 519, 1267, 540, 630, 320, 1070, 602, 519, 15585, 566, 19336, 568, 513, 1133, 3202, 19336, 692, 322, 269, 1403, 649, 1685, 1079, 32186, 681, 263, 9064, 272, 264, 543, 681, 263, 9064, 273, 264, 1397, 602, 519, 1931, 538, 799, 649, 1685, 519, 32186, 568, 13061, 269, 769, 824, 1913, 267, 10047, 14290, 616, 862, 32477, 780, 323, 269, 4635, 681, 263, 9064, 272, 1341, 23940, 273, 264, 815, 681, 263, 9064, 272, 264, 305, 263, 9064, 273, 2020, 324, 269, 5136, 1555, 519, 1840, 4542, 585, 519, 20534, 543, 25482, 3252, 281, 5430, 263, 9064, 272, 1341, 23940, 273, 264, 261, 5609, 263, 9064, 272, 1341, 23940, 273, 2020, 325, 269, 1403, 519, 1950, 1297, 1990, 273, 1310, 513, 10047, 540, 815, 14039, 270, 277, 568, 3230, 273, 268, 273, 328, 25490, 346, 274, 6525, 1547, 12433, 519, 1950, 1297, 1990, 272, 1354, 519, 10047, 269, 670, 842, 281, 1990, 273, 284, 305, 263, 9064, 12684, 345, 272, 780, 1892, 589, 15585, 566, 5119, 568, 2016, 676, 1384, 305, 263, 9064, 6661, 314, 6523, 263, 9064, 1070, 910, 7562, 263, 9064, 5148, 5609, 263, 9064, 264, 5430, 263, 9064, 264, 6540, 320, 269, 8058, 602, 630, 305, 263, 9064, 4297, 28260, 272, 284, 305, 8987, 9064, 264, 585, 1022, 5086, 540, 10047, 630, 9064, 2020, 321, 269, 589, 1133, 3202, 19336, 568, 513, 5119, 267, 799, 25389, 772, 28260, 272, 284, 308, 317, 307, 1109, 17004, 267, 1210, 519, 1267, 540, 630, 320, 1070, 602, 519, 15585, 566, 19336, 568, 513, 1133, 3202, 19336, 692, 322, 269, 1403, 649, 1685, 1079, 32186, 681, 263, 9064, 272, 264, 30548, 681, 263, 9064, 273, 264, 1109, 1397, 602, 519, 1931, 538, 799, 649, 1685, 519, 32186, 568, 13061, 269, 769, 824, 1913, 267, 10047, 14290, 616, 862, 32477, 780, 323, 269, 4635, 681, 263, 9064, 272, 1341, 23940, 273, 264, 815, 681, 263, 9064, 272, 264, 305, 263, 9064, 273, 2020, 324, 269, 5136, 1555, 519, 1840, 4542, 585, 519, 20534, 543, 25482, 3252, 281, 5430, 263, 9064, 272, 1341, 23940, 273, 264, 261, 5609, 263, 9064, 272, 1341, 23940, 273, 2020, 325, 269, 1403, 519, 1950, 1297, 1990, 273, 1310, 513, 10047, 540, 815, 14039, 270, 277, 568, 3230, 273, 268, 273, 328, 25490, 346, 274, 6525, 476, 1741, 1547, 12433, 519, 1950, 1297, 1990, 272, 1354, 519, 10047, 269, 670, 842, 281, 1990, 273, 284, 305, 263, 9064, 12684, 345, 272, 780, 2162, 7348, 713, 3070, 1862, 2119, 4258, 1375, 5530, 692, 16966, 713, 3070, 543, 6634, 811, 267, 7132, 2307, 938, 4966, 2243, 476, 2190, 270, 278, 692, 19400, 5734, 7641, 2982, 609, 17676, 585, 476, 273, 3275, 950, 596, 1129, 909, 585, 938, 5993, 20478, 563, 300, 20047, 1222, 786, 8850, 3136, 267, 855, 596, 666, 22599, 693, 1022, 942, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13696, 310, 2919, 513, 2706, 31933, 5198, 1286, 602, 8255, 4625, 593, 5277, 7250, 269, 7201, 519, 26372, 568, 513, 476, 277, 269, 271, 2000, 3438, 267, 966, 268, 1321, 267, 476, 22446, 554, 335, 7250, 14617, 2599, 269, 901, 5594, 9168, 3154, 2599, 666, 4412, 601, 519, 1286, 547, 476, 6942, 18890, 269, 25756, 814, 513, 1906, 5383, 936, 3154, 563, 272, 269, 25756, 568, 1360, 10731, 454, 273, 269, 25756, 17236, 2973, 267, 950, 621, 17236, 621, 568, 10905, 609, 5135, 547, 3132, 670, 736, 610, 1216, 267, 713, 1216, 666, 581, 32419, 547, 1118, 7250, 1586, 563, 274, 269, 25756, 22179, 1447, 982, 3154, 543, 7472, 811, 1379, 563, 275, 269, 25756, 17236, 5488, 543, 16830, 982, 3154, 563, 763, 22720, 310, 670, 273, 305, 1305, 476, 280, 3486, 3432, 5638, 454, 1103, 3210, 547, 21013, 781, 2243, 538, 12558, 476, 278, 7176, 267, 543, 6148, 9494, 631, 14709, 513, 2370, 1382, 960, 630, 296, 7058, 1250, 4757, 2063, 11016, 4769, 1405, 1205, 998, 1070, 972, 2965, 568, 1382, 1373, 2944, 593, 4881, 4835, 13674, 9817, 593, 7250, 3154, 269, 4340, 547, 519, 5767, 1382, 267, 971, 606, 2599, 666, 581, 607, 3608, 607, 519, 1655, 17088, 9817, 269, 898, 781, 849, 2219, 602, 513, 10316, 1286, 609, 513, 7250, 14617, 15096, 2599, 1131, 723, 519, 1482, 13304, 720, 607, 513, 7250, 4492, 1591, 1286, 267, 855, 693, 513, 6824, 540, 519, 1942, 630, 5408, 5291, 2517, 4178, 269, 29582, 14492, 28898, 4882, 7220, 270, 14895, 270, 1220, 279, 270, 6187, 270, 1626, 270, 25375, 31874, 279, 21867, 12467, 2467, 941, 849, 1896, 4574, 4843, 593, 13936, 543, 1210, 7250, 538, 15096, 9817, 693, 519, 2487, 476, 1704, 628, 2622, 25756, 6052, 10985, 269, 2986, 1576, 267, 519, 1966, 540, 9108, 13936, 7250, 538, 513, 1286, 585, 946, 538, 606, 15096, 2599, 568, 4010, 519, 1482, 1966, 607, 13936, 7250, 585, 946, 538, 513, 4492, 1591, 1286, 269, 6423, 5291, 2517, 4178, 9884, 515, 322, 1220, 279, 2593 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2108, 289, 650, 3337, 568, 5732, 2731, 1271, 538, 519, 1646, 540, 6177, 2249, 2223, 1767, 7338, 269, 968, 2171, 1616, 547, 2232, 602, 2856, 585, 782, 5017, 1848, 476, 274, 5937, 18767, 1683, 811, 1344, 827, 22441, 267, 31393, 267, 543, 2027, 2934, 982, 2757, 7403, 267, 855, 621, 779, 942, 10438, 269, 3571, 2319, 814, 1044, 17655, 6177, 581, 6545, 1336, 538, 10070, 693, 2067, 1686, 15882, 1472, 519, 1158, 585, 3592, 513, 1032, 543, 814, 1085, 10165, 519, 12014, 540, 827, 476, 275, 267, 4335, 2249, 269, 1358, 2503, 547, 6108, 693, 2547, 1776, 1032, 17655, 269, 4495, 789, 616, 2944, 267, 519, 18767, 1869, 991, 547, 723, 3425, 547, 5265, 1665, 873, 585, 519, 2780, 2079, 602, 786, 22945, 741, 3337, 269, 1403, 519, 2319, 729, 593, 741, 1378, 267, 621, 1131, 1491, 873, 1296, 547, 1205, 998, 519, 18061, 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 ]

[ 0, 11947, 3427, 8212, 1341, 811, 692, 258, 31592, 1759, 593, 519, 21252, 540, 513, 3002, 2599, 1107, 12193, 692, 4131, 779, 4194, 513, 5697, 31592, 1966, 1759, 593, 519, 21252, 540, 513, 3002, 2599, 780, 13528, 3121, 13242, 692, 292, 11797, 568, 3989, 607, 519, 5223, 540, 519, 2121, 960, 2944, 676, 519, 2599, 547, 519, 2179, 540, 3002, 602, 1590, 581, 13859, 547, 9585, 713, 960, 563, 292, 11797, 16754, 281, 552, 815, 654, 270, 304, 295, 454, 3602, 552, 568, 519, 4398, 267, 654, 568, 519, 2121, 960, 2944, 676, 519, 2599, 267, 543, 1627, 295, 568, 519, 7274, 540, 3002, 3144, 538, 676, 519, 2599, 780, 301, 10179, 673, 1966, 593, 3002, 2599, 4398, 692, 9223, 476, 272, 316, 589, 3002, 2599, 3217, 538, 476, 6344, 271, 808, 540, 3002, 689, 519, 1164, 27529, 3002, 2707, 538, 1142, 4783, 543, 1281, 476, 6110, 808, 540, 960, 538, 1142, 4783, 563, 320, 269, 1548, 568, 519, 4398, 540, 713, 2599, 888, 321, 269, 1215, 1454, 3002, 568, 5950, 883, 519, 1604, 538, 1142, 4783, 2496, 11405, 1384, 320, 264, 1627, 295, 815, 476, 6344, 271, 808, 454, 310, 815, 476, 6110, 808, 454, 324, 815, 26042, 324, 815, 654, 270, 304, 295, 815, 476, 6110, 270, 6344, 271, 815, 476, 272, 270, 274, 815, 476, 271, 269, 3451, 815, 476, 3451, 4939, 692, 321, 264, 1627, 322, 815, 1627, 295, 1107, 654, 454, 27784, 304, 322, 815, 476, 6344, 271, 1107, 476, 6110, 808, 815, 476, 8517, 808, 692, 293, 9711, 1384, 28959, 568, 3144, 538, 693, 1164, 5210, 267, 8946, 269, 2368, 3002, 568, 10736, 547, 960, 267, 543, 519, 14230, 568, 5950, 693, 513, 2539, 2837, 267, 570, 290, 780, 8450, 849, 1109, 9980, 16552, 607, 17438, 910, 1034, 4524, 1533, 568, 519, 1034, 21483, 835, 454, 9928, 2651, 547, 1283, 454, 19587, 281, 6323, 30108, 23357 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26177, 306, 281, 476, 2190, 623, 8980, 2464, 281, 476, 277, 29640, 9680, 12088, 281, 4317, 7070, 18161, 4306, 3633, 10396, 281, 476, 276, 270, 2420, 270, 1001, 271, 454, 13434, 745, 1746, 543, 30070, 547, 11694, 9441, 7607, 568, 513, 4122, 6956, 2460, 540, 875, 4213, 1589, 827, 5009, 4763, 267, 855, 5051, 3549, 849, 1174, 519, 2956, 540, 4763, 585, 6455, 543, 6725, 267, 1981, 543, 10639, 2359, 543, 824, 20019, 15129, 1870, 2773, 3800, 269, 272, 1280, 1383, 267, 9652, 1299, 9652, 4025, 9645, 8561, 593, 4008, 1317, 513, 5354, 540, 6800, 1818, 9140, 3664, 616, 2021, 269, 24117, 568, 2147, 693, 3750, 13282, 2472, 9649, 645, 9476, 577, 543, 700, 4861, 267, 1141, 2344, 1382, 2982, 602, 2021, 1118, 476, 5952, 2600, 540, 7622, 3664, 1644, 547, 3782, 269, 22126, 781, 2490, 268, 19925, 5182, 267, 7200, 15168, 560, 1676, 267, 15109, 4763, 513, 2344, 2861, 3390, 527, 781, 827, 1620, 938, 6990, 799, 616, 3309, 543, 18371, 269, 1935, 26857, 5377, 11060, 2164, 267, 4543, 22126, 23309, 6990, 13856, 676, 18371, 543, 4775, 5561, 269, 274, 6271, 1870, 2013, 585, 4763, 3564, 13781, 7607, 267, 3395, 6455, 543, 6075, 9547, 568, 519, 9283, 621, 666, 1118, 547, 5876, 543, 8112, 538, 10721, 3157, 543, 1732, 1966, 6061, 269, 2856, 568, 602, 513, 3309, 13781, 7472, 5499, 2093, 267, 21040, 2565, 2079, 267, 543, 11729, 3309, 267, 2362, 2298, 3664, 563, 2026, 5824, 1977, 2021, 18214, 519, 9746, 21117, 267, 519, 21571, 454, 303, 1137, 547, 616, 6456, 585, 454, 257, 290, 3036, 303, 3036, 12442, 5442, 12710, 4785, 12778, 257, 8923, 4647, 547, 2070, 2407, 3561 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12867, 693, 519, 2160, 540, 16713, 3427, 540, 6925, 723, 4767, 513, 14583, 540, 513, 2566, 25259, 5444, 543, 4598, 547, 2566, 1282, 6379, 1851, 1079, 2516, 540, 11299, 540, 1453, 609, 10295, 563, 763, 1560, 543, 2247, 4276, 1797, 602, 649, 946, 938, 4555, 547, 3310, 543, 2087, 938, 1560, 779, 2168, 2783, 563, 1103, 1455, 1913, 968, 16269, 5397, 721, 10808, 892, 610, 968, 25585, 616, 891, 1004, 1373, 865, 2352, 9495, 1548, 4010, 568, 7099, 344, 888, 8253, 782, 2395, 616, 1482, 269, 6884, 693, 1753, 267, 3006, 693, 960, 610, 2852, 610, 538, 1857, 835, 1223, 581, 9937, 539, 610, 14129, 563, 15447, 827, 1284, 305, 19328, 454, 268, 5489, 17475, 1198, 540, 6772, 8504, 4775, 9845, 262, 9422, 2115, 454, 268, 25667, 11250, 909, 519, 1376, 540, 23648, 538, 8695, 454, 268, 15766, 1049, 8377, 3075, 267, 3404, 12682, 665, 514, 267, 4617, 839, 2634, 781, 8007, 6786, 585, 1426, 454, 268, 1520, 760, 846, 9449, 949, 1404, 1909, 538, 8377, 5829, 10447, 454, 268, 11906, 338, 538, 7622, 7452, 949, 3895, 3170, 1591, 1646, 454, 268, 634, 10020, 26102, 268, 274, 15310, 1399, 3600, 1749, 7591, 538, 23046, 19270, 21631 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16534, 585, 1535, 2433, 5609, 275, 343, 1606, 514, 273, 343, 284, 271, 692, 326, 1640, 326, 10005, 3192, 277, 1923, 9906, 692, 2690, 267, 519, 4098, 267, 649, 3513, 2769, 5609, 476, 275, 343, 815, 5609, 476, 273, 16732, 273, 343, 2020, 3719, 267, 519, 4542, 585, 519, 5595, 5086, 5609, 476, 273, 320, 815, 476, 273, 338, 2088, 265, 322, 6242, 780, 2171, 3513, 513, 2952, 519, 4542, 547, 5609, 476, 273, 16732, 273, 343, 17107, 7562, 476, 273, 16732, 273, 343, 264, 815, 476, 273, 5609, 476, 273, 343, 265, 5430, 476, 273, 343, 630, 272, 2020, 3086, 267, 649, 3513, 556, 2914, 1679, 519, 3830, 267, 2655, 23082, 5609, 476, 275, 343, 676, 519, 4542, 630, 272, 17107, 7562, 476, 275, 343, 910, 5609, 476, 273, 343, 815, 476, 271, 692, 273, 5609, 476, 273, 343, 265, 5430, 476, 273, 343, 910, 5609, 476, 273, 343, 815, 476, 271, 692, 2171, 3513, 3815, 1125, 676, 5609, 476, 273, 343, 1384, 7562, 476, 273, 343, 16732, 273, 6523, 476, 273, 343, 910, 476, 272, 264, 815, 476, 271, 692, 2171, 3513, 1305, 1142, 3815, 607, 476, 271, 1384, 7562, 476, 273, 343, 815, 476, 271, 692, 273, 343, 815, 1341, 25773, 2117, 7562, 476, 271, 692, 273, 343, 815, 476, 271, 692, 343, 815, 476, 271, 692, 2171, 3513, 1305, 476, 273, 6523, 476, 273, 343, 910, 476, 272, 1109, 553, 476, 271, 1384, 273, 6523, 476, 273, 343, 910, 476, 272, 815, 476, 271, 692, 2171, 3513, 1109, 5417, 476, 272, 1312, 5011, 1384, 273, 6523, 476, 273, 343, 815, 476, 272, 692, 2171, 3513, 7941, 676, 476, 273, 1384, 6523, 476, 273, 343, 815, 476, 272, 270, 273, 692, 273, 343, 815, 1341, 25773, 818, 764, 657, 630, 272, 270, 273, 2020, 273, 343, 815, 1341, 25773, 630, 7032, 270, 274, 2020, 2171, 3513, 7941, 676, 476, 273, 1384, 343, 815, 1341, 25773, 14039, 270, 277, 692, 763, 3070, 910, 7032, 270, 277, 1223, 581, 6829, 607, 1535, 815, 476, 273, 7032, 910, 14039, 270, 277, 692, 343, 815, 476, 1556, 7032, 270, 277, 692, 763, 3435, 540, 519, 3830, 267, 936, 519, 8884, 1496, 271, 267, 273, 7032, 3910, 616, 1384, 346, 271, 6902, 14039, 270, 277, 267, 476, 1556, 7032, 270, 277, 348, 780, 928, 11253, 1923, 9906, 692, 2414, 4194, 585, 1535, 1109, 269, 5609, 275, 343, 910, 7562, 273, 343, 815, 476, 271, 780, 2414, 4194, 519, 3830, 649, 946, 5609, 273, 288, 815, 476, 273, 7562, 288, 6523, 288, 780, 11997, 2073, 1109, 5609, 275, 343, 815, 5609, 273, 263, 273, 343, 264, 815, 476, 273, 7562, 273, 343, 265, 6523, 273, 343, 780, 3383, 649, 12990, 5609, 275, 343, 815, 476, 273, 7562, 273, 343, 5430, 273, 343, 476, 280, 333, 519, 2016, 3830, 1384, 273, 7562, 273, 343, 265, 6523, 273, 343, 910, 5609, 273, 343, 815, 476, 271, 692, 7562, 273, 343, 16732, 273, 6523, 273, 343, 910, 272, 264, 815, 476, 271, 5541, 27401, 263, 272, 6393, 26139, 1109, 649, 1109, 12990, 5430, 273, 343, 815, 476, 272, 24179, 273, 7562, 343, 8203, 273, 543, 5609, 273, 343, 815, 476, 273, 7562, 343, 6523, 343, 593, 630, 272, 17107, 273, 7562, 343, 265, 6523, 343, 2715, 273, 263, 272, 268, 273, 4433, 514, 343, 8203, 273, 264, 910, 272, 348, 815, 476, 271, 692, 273, 5609, 343, 265, 6523, 343, 346, 272, 910, 476, 275, 4433, 514, 343, 8203, 273, 348, 815, 476, 271, 692, 292, 12930, 1142, 1109, 1875, 6746, 13519, 531, 2188, 547, 4642, 1384, 7562, 343, 815, 476, 271, 267, 5430, 343, 815, 476, 271, 2073, 476, 272, 268, 275, 4433, 514, 343, 8203, 273, 815, 476, 271, 692, 3383, 5609, 1535, 815, 476, 271, 3947, 281, 1535, 284, 476, 271, 610, 14039, 692, 6523, 343, 815, 476, 271, 3947, 1535, 815, 14039, 270, 273, 610, 476, 274, 7032, 270, 273, 692, 272, 268, 275, 4433, 514, 343, 8203, 273, 815, 3947, 281, 5609, 343, 815, 476, 272, 610, 815, 268, 272, 269, 1924, 1535, 815, 14039, 270, 275, 267, 476, 274, 7032, 270, 275, 2073, 476, 276, 7032, 270, 275, 610, 476, 278, 7032, 270, 275, 692, 2162, 7457, 7366, 540, 5215, 540, 4267, 609, 513, 1863, 4693, 780, 16485, 513, 7726, 454, 28082, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10907, 5120, 566, 609, 966, 26662, 454, 2421, 12253, 1744, 858, 2006, 780, 20779, 2970, 566, 540, 519, 9238, 540, 5163, 609, 6152, 563, 288, 834, 300, 1478, 257, 1843, 8637, 4087, 267, 6991, 267, 543, 10231, 607, 10321, 634, 454, 332, 10056, 568, 6417, 676, 7133, 519, 10231, 630, 514, 713, 2013, 2509, 519, 454, 332, 1787, 994, 2690, 811, 1806, 540, 1138, 6819, 5163, 543, 6323, 609, 10321, 267, 1294, 454, 8245, 3634, 270, 2690, 806, 4415, 309, 26662, 267, 3244, 3634, 27798, 9545, 527, 1049, 16920, 3555, 274, 291, 454, 12163, 5228, 544, 1478, 1104, 631, 1478, 7531, 3698, 14764, 10031, 825, 2518, 544, 1478, 454, 825, 2450, 263, 25953, 267, 476, 11740, 994, 825, 544, 1478, 815, 631, 1478, 30800, 3698, 2721, 10031, 825, 4282, 263, 271, 994, 825, 1948, 22352, 519, 4087, 454, 825, 544, 1478, 269, 26303, 4590, 825, 1948, 18224, 519, 631, 1478, 454, 825, 544, 1478, 269, 5891, 4590 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8080, 547, 938, 21777, 3296, 540, 5530, 589, 1749, 910, 782, 827, 519, 20389, 256, 4653, 649, 2811, 2469, 547, 1445, 593, 1945, 1572, 834, 9223, 9537, 1701, 1411, 1522, 581, 11842, 267, 834, 3963, 798, 594, 991, 547, 1451, 827, 2243, 2010, 1354, 1256, 2921, 519, 20389, 8119, 4279, 2243, 256, 4197, 891, 1114, 5686, 540, 2055, 786, 948, 596, 1745, 811, 8746, 950, 21365, 1346, 16602, 2042, 593, 981, 1554, 269, 5213, 1405, 5855, 282, 649, 4465, 1405, 946, 1022, 2462, 1913, 610, 14845, 2474, 1934, 269, 5502, 267, 1577, 781, 4685, 883, 930, 1187, 1806, 1927, 2439, 5331, 596, 723, 1044, 4280, 547, 4194, 713, 1966, 912, 263, 274, 1535, 476, 276, 264, 1341, 630, 273, 1535, 476, 275, 264, 815, 15017, 2414, 2626, 7157, 267, 596, 1101, 1246, 519, 1931, 540, 4238, 630, 10193, 1634, 607, 623, 4932, 291, 3008, 2567, 9977, 12330, 267, 5890, 7859, 267, 18527, 543, 10406, 630, 5228, 2451, 547, 1318, 1070, 18827, 543, 25513, 630, 5228, 2451, 547, 1318, 1040, 1924, 267, 596, 1131, 5173, 912, 1428, 1341, 476, 279, 815, 476, 2537, 454, 292, 6470, 890, 6470, 267, 1318, 286, 2334, 729, 606, 1383, 540, 606, 12980, 4082, 2243, 1826, 1141, 596, 1185, 547, 1685, 9273, 1759, 593, 2016, 2418, 269, 3767, 267, 1577, 781, 1413, 693, 1776, 2186, 540, 2243, 1826, 1107, 2262, 2042, 2336, 2252, 8861, 1207, 903, 476, 278, 22796, 585, 1269, 271, 269, 1015, 1142, 543, 4991, 873, 585, 1863, 952, 1352, 849, 16306, 513, 21641, 585, 1269, 273, 269, 4200, 267, 875, 1454, 1281, 1352, 6108, 538, 2698, 888, 2080, 267, 3079, 540, 1175, 3257, 2979, 609, 2338, 267, 596, 1590, 1174, 1018, 519, 1913, 616, 10213, 596, 543, 1287, 4019, 519, 1482, 1983, 607, 1354, 912, 259, 271, 269, 1015, 6398, 476, 278, 815, 1269, 271, 269, 3583, 630, 5155, 4290, 1942, 994, 266, 1269, 273, 269, 4200, 630, 16694, 1504, 1942, 264, 815, 1269, 274, 269, 7597, 630, 20135, 1942, 994, 1103, 519, 4890, 20389, 267, 972, 786, 581, 1896, 2243, 2010, 899, 2542, 8223, 267, 4845, 1264, 339, 687, 267, 2565, 7744, 267, 543, 6128, 269, 1284, 3513, 2263, 891, 2417, 4166, 2614, 269, 1809, 3314, 267, 2259, 2306, 3501, 256, 8347, 6061, 1585, 3732, 2055, 1210, 891, 2994, 865, 2484, 269, 901, 1259, 267, 950, 621, 2501, 942, 547, 1491, 519, 1483, 20389, 267, 596, 3513, 917, 4010, 1018, 547, 2503, 543, 13743, 998, 12347, 269, 8414, 4974, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1692, 2182, 568, 519, 24321, 888, 6701, 596, 3206, 827, 13197, 2362, 2069, 888, 5278, 22825, 2503, 610, 2154, 4359, 5232, 267, 1247, 1866, 4324, 689, 3606, 2866, 543, 2069, 563, 24836, 9958, 2090, 666, 581, 513, 1390, 1259, 547, 2333, 707, 3318, 1702, 543, 6791, 563, 3719, 1018, 4010, 568, 2877, 547, 1376, 513, 10927, 1982, 286, 1280, 1034, 3506, 267, 621, 568, 11744, 513, 3490, 1377, 540, 1702, 593, 519, 23958, 16680, 22410, 267, 610, 24321, 563, 1432, 568, 519, 24321, 888, 763, 24321, 568, 513, 13387, 13675, 1449, 1031, 676, 10927, 3506, 547, 15378, 606, 32358, 779, 2702, 547, 581, 3811, 538, 741, 1982, 563, 763, 1449, 568, 2919, 543, 13950, 676, 519, 1875, 17416, 12409, 13281, 6796, 267, 661, 4811, 563, 2690, 811, 982, 476, 2568, 1296, 267, 661, 4811, 814, 3177, 10526, 538, 519, 2127, 540, 2362, 2069, 267, 4116, 6132, 839, 675, 267, 2296, 607, 513, 2034, 1893, 267, 543, 1866, 563, 14071, 11441, 547, 1683, 5499, 543, 6209, 6482, 3435, 602, 2087, 3450, 543, 1565, 267, 4228, 3872, 3255, 267, 543, 1217, 3609, 2223, 3081, 661, 4811, 563, 2662, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 2969, 7726, 9537, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 20389, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5327, 32606, 1272, 543, 2528, 540, 519, 25069, 322, 12075, 945, 5030, 538, 6792, 1354, 519, 5053, 9518, 626, 611, 832, 8452, 563, 257, 27675, 18462, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 22706, 476, 276, 268, 279, 1700, 30022, 543, 13181, 7650, 338, 267, 1519, 519, 8129, 267, 19824, 267, 6608, 267, 535, 1662, 687, 267, 543, 23543, 540, 891, 3504, 12977, 269, 3962, 1888, 568, 5941, 593, 513, 3262, 602, 2882, 10477, 12383, 267, 11147, 267, 543, 513, 18512, 2239, 602, 786, 3180, 3988, 3007, 269, 25069, 322, 3091, 10530, 689, 9954, 543, 2161, 902, 267, 607, 1134, 607, 1082, 3140, 3877, 267, 547, 4766, 1312, 519, 5898, 543, 519, 678, 3578, 1652, 543, 3046, 8663, 545, 3344, 540, 891, 1004, 269, 7111, 1977, 11414, 3988, 930, 540, 519, 1129, 1893, 2919, 607, 513, 1797, 547, 5968, 1851, 519, 1082, 11031, 543, 6257, 1585, 11031, 9821, 543, 2081, 540, 1272, 269, 5549, 320, 2982, 519, 3919, 543, 11141, 6189, 540, 713, 10340, 269, 8479, 518, 1053, 786, 1265, 891, 2835, 3730, 585, 5359, 267, 1247, 1346, 538, 2362, 9344, 666, 946, 873, 607, 513, 4358, 1448, 585, 741, 1382, 269, 1700, 299, 3570, 30683, 267, 667, 1075, 1127, 928, 9142, 267, 20279, 267, 29255, 454, 15648, 9736, 32149, 6355, 6176, 267, 513, 6498, 540, 32149, 29021, 5549, 269, 2353, 2924, 11603, 563, 257, 10666, 713, 2140, 257, 949, 4866, 547, 1776, 7160, 540, 713, 2140, 563, 9349, 13517, 590, 18150, 3724, 12409, 14539, 267, 5549, 269, 623, 4338, 2207, 289, 19272, 269, 3883, 16448, 281, 1715, 269, 476, 14689, 3445, 276, 30588, 272, 1715, 16448, 269, 3883, 31805, 22802, 1948, 21832, 278, 269, 13679, 278, 5655, 279 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13480, 1504, 910, 5053, 454, 25332, 322, 2940, 1913, 596, 949, 1616, 547, 917, 607, 547, 950, 789, 616, 1767, 547, 596, 538, 23882, 454, 291, 27364, 542, 9222, 3331, 350, 571, 2041, 910, 525, 11985, 10722, 565, 454, 338, 20725, 1576, 1433, 476, 272, 454, 1103, 4948, 4633, 267, 513, 8360, 949, 3277, 547, 1022, 1895, 540, 1913, 269, 769, 23316, 31972, 291, 27364, 542, 9222, 632, 620, 2939, 657, 563, 8002, 1204, 3547, 1609, 1192, 340, 2784, 553, 1303, 1941, 334, 513, 24140, 520, 549, 552, 329, 525, 281, 834, 14976, 1965, 11985, 10722, 565, 679, 1714, 24634, 334, 2580, 834, 300, 2483, 28989, 267, 649, 616, 8572, 547, 2845, 596, 538, 3842, 9365, 693, 713, 942, 269, 7490, 2119, 1586, 2663, 563, 3528, 11836, 267, 596, 3858, 547, 938, 454, 2704, 2819, 513, 4759, 286, 6178, 538, 563, 25594, 607, 2871, 652, 454, 1607, 2962, 1522, 711, 581, 2009, 547, 3768, 334, 269, 3657, 596, 2386, 596, 1616, 547, 3136, 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 ]

[ 0, 24478, 2032, 705, 2432, 256, 5620, 713, 10145, 6656, 2575, 593, 1688, 267, 610, 585, 513, 1808, 3992, 269, 1703, 616, 1896, 1114, 29282, 3769, 267, 543, 513, 1906, 1114, 1899, 7306, 910, 28110, 4481, 4724, 7820, 25803, 945, 949, 991, 8273, 5624, 547, 1118, 711, 725, 538, 563, 8253, 566, 4245, 616, 593, 519, 1259, 267, 855, 713, 568, 513, 1390, 4199, 585, 513, 2875, 1565, 547, 1224, 2575, 270, 1260, 2821, 267, 610, 547, 1831, 5432, 1242, 609, 12377, 3817, 563, 5591, 2604, 256, 4746, 1390, 585, 519, 21836, 1053, 547, 1175, 2721, 10580, 267, 3515, 267, 543, 2681, 538, 1022, 1259, 789, 666, 4952, 563, 292, 7568, 5131, 15733, 256, 5403, 532, 513, 12773, 1299, 5955, 2636, 596, 547, 7118, 17099, 2509, 2104, 570, 8976, 16306, 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 ]

[ 0, 2162, 5851, 3436, 16671, 274, 3436, 3848, 476, 277, 3436, 7689, 476, 277, 269, 272, 269, 275, 3436, 9046, 277, 268, 2412, 692, 277, 268, 2412, 780, 17951, 601, 568, 16116, 7823, 30207, 585, 513, 8949, 2650, 269, 2701, 666, 4584, 4399, 2765, 2715, 476, 272, 7684, 2715, 476, 277, 476, 4151, 7484, 540, 30207, 538, 1269, 273, 259, 3764, 269, 1403, 1352, 2115, 1269, 273, 21702, 346, 272, 2410, 273, 4151, 11680, 540, 30207, 585, 519, 2650, 267, 875, 1279, 786, 621, 1491, 1200, 547, 4584, 519, 15708, 2496, 13729, 909, 513, 8167, 267, 8380, 519, 2557, 538, 799, 1352, 26717, 909, 30207, 936, 519, 942, 621, 3217, 1200, 547, 798, 865, 780, 13729, 909, 519, 8167, 780, 7445, 2765, 3189, 2765, 346, 272, 2410, 277, 12453, 273, 18098, 2765, 3189, 2765, 346, 276, 2410, 273, 12453, 343, 10592, 15899, 2173, 738, 17586, 543, 4194, 585, 1269, 343, 16859, 7445, 2765, 346, 272, 2410, 277, 348, 1422, 10383, 2715, 343, 13157, 273, 1422, 10383, 1422, 2765, 346, 276, 2410, 273, 10592, 259, 343, 284, 1789, 259, 3764 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8310, 21213, 593, 476, 6734, 270, 5400, 270, 1708, 272, 693, 476, 1428, 281, 2412, 454, 9928, 582, 1633, 814, 1044, 1210, 513, 1062, 585, 21365, 5046, 268, 866, 676, 782, 20814, 513, 1412, 24038, 262, 1063, 476, 271, 543, 476, 275, 267, 799, 729, 849, 1634, 607, 519, 20946, 17563, 269, 1452, 2157, 723, 1044, 4294, 25422, 630, 659, 1484, 782, 540, 10430, 264, 610, 547, 1114, 2127, 4470, 593, 519, 3928, 540, 5046, 268, 866, 6771, 12725, 563, 4002, 476, 280, 628, 4864, 267, 10430, 786, 1847, 3564, 5426, 476, 271, 267, 799, 1797, 602, 519, 1114, 2157, 4465, 1405, 4019, 2066, 2199, 8128, 855, 538, 519, 2104, 267, 952, 972, 616, 2199, 17061, 267, 1114, 2157, 540, 8825, 3800, 949, 581, 2322, 1394, 538, 1747, 563, 16908, 3564, 5426, 476, 271, 568, 2966, 547, 581, 538, 1747, 585, 519, 1279, 2165, 2705, 621, 786, 2611, 16913, 543, 930, 2199, 2127, 949, 3068, 9993, 2469, 1394, 538, 1747, 547, 948, 2270, 9678, 13421, 563, 8340, 856, 1018, 602, 1797, 538, 938, 1548, 3657, 634, 16390, 9406, 3767, 286, 2985, 563, 1432, 1377, 616, 649, 538, 888, 2026, 540, 11728, 476, 866, 628, 5147, 267, 782, 13677, 10871, 8191, 885, 723, 1044, 538, 5426, 476, 271, 269, 3245, 476, 280, 628, 4864, 267, 10430, 786, 1847, 3564, 5426, 476, 271, 563, 1103, 10430, 267, 972, 616, 476, 3953, 2199, 8128, 267, 952, 596, 2811, 711, 2386, 1018, 2199, 6392, 596, 2661, 538, 267, 596, 666, 946, 519, 13677, 6554, 5403, 13892, 6744, 518, 547, 1265, 856, 563, 1432, 952, 594, 1185, 547, 13104, 1354, 888, 9928, 582, 1633, 781, 12751, 6481, 20229, 568, 1603, 547, 3025, 945, 8813, 883, 519, 31364, 7121, 609, 5796, 540, 1018, 547, 798, 538, 5426, 476, 271, 543, 3564, 563, 2026, 10430, 2242, 2199, 4027, 2157, 267, 596, 1058, 1246, 519, 3617, 1072, 5796, 2404, 609, 602, 1377, 269, 1411, 666, 1265, 5583, 593, 519, 13677, 6554, 781, 3896, 563, 5415, 1344, 689, 8479, 8857, 593, 27649, 630, 26542, 268, 866, 1040 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3695, 519, 10167, 1063, 18691, 267, 13299, 267, 543, 18792, 267, 649, 5490, 883, 513, 3638, 13795, 540, 1480, 1995, 543, 2686, 4082, 269, 901, 1576, 1770, 20217, 1053, 547, 4983, 875, 9644, 3252, 1369, 6237, 543, 2686, 8658, 267, 4481, 1369, 519, 7706, 540, 29450, 626, 2950, 543, 5322, 269, 1284, 786, 5659, 519, 2081, 538, 799, 891, 2516, 2308, 635, 14037, 2609, 547, 4161, 6392, 267, 6536, 17604, 267, 543, 1711, 4244, 6386, 269, 3414, 2673, 13220, 540, 3119, 2707, 2326, 267, 7811, 10850, 267, 543, 4207, 14172, 267, 1053, 786, 2744, 2565, 4030, 883, 519, 1379, 6384, 11251, 538, 9644, 543, 922, 1909, 538, 1514, 7004, 780, 272, 269, 23205, 16161, 543, 9966, 528, 281, 1323, 4985, 692, 2414, 2253, 938, 7634, 267, 649, 1590, 1101, 1174, 519, 2078, 1063, 18691, 543, 9644, 269, 23205, 16161, 4016, 547, 519, 2757, 9821, 267, 8941, 267, 2161, 902, 267, 23929, 267, 543, 8964, 5293, 1524, 1369, 2516, 543, 2950, 267, 1419, 7674, 607, 12508, 540, 3961, 543, 3838, 1686, 630, 289, 14725, 341, 663, 267, 476, 1001, 277, 1040, 9966, 528, 267, 29285, 267, 666, 581, 3989, 607, 519, 2298, 540, 1373, 993, 6748, 610, 635, 673, 267, 1419, 1031, 547, 7038, 267, 14867, 8082, 267, 610, 6655, 8739, 27791, 31886, 630, 16920, 16037, 1299, 681, 2532, 514, 267, 476, 1960, 272, 1040, 1879, 5916, 267, 12563, 3271, 545, 9644, 3587, 513, 14984, 1907, 585, 17683, 543, 23142, 2686, 1702, 267, 2418, 267, 543, 4978, 2066, 5481, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5591, 811, 2911, 827, 519, 2025, 2395, 267, 621, 779, 942, 585, 1945, 1390, 563, 296, 1616, 596, 547, 1205, 856, 543, 1118, 621, 960, 2483, 291, 539, 5344, 547, 519, 8748, 1004, 540, 22859, 514, 288, 7356, 807, 267, 5487, 4860, 27117, 6242, 267, 543, 519, 19109, 643, 1102, 657, 7749, 267, 585, 1818, 606, 8944, 960, 563, 7212, 713, 1433, 3323, 856, 607, 606, 1367, 1788, 267, 538, 519, 1439, 513, 1390, 1082, 1004, 267, 1034, 540, 7247, 4782, 547, 2611, 20822, 267, 5280, 1118, 621, 2009, 998, 6169, 15105, 267, 1249, 19295, 9535, 267, 2857, 2056, 2959, 267, 11049, 267, 543, 811, 269, 1677, 11760, 1152, 513, 1507, 851, 540, 713, 948, 267, 519, 2278, 1131, 899, 547, 9684, 3627, 267, 8277, 267, 966, 10042, 918, 3121, 267, 513, 12711, 320, 29755, 700, 267, 808, 267, 543, 717, 585, 3246, 2780, 1569, 2429, 513, 1032, 540, 7575, 267, 859, 11881, 267, 26301, 267, 8290, 267, 543, 865, 8521, 269, 8729, 547, 25014, 773, 667, 617, 5459, 543, 15576, 773, 18412, 585, 4543, 609, 519, 1382, 593, 1776, 1788, 267, 602, 594, 8694, 909, 1210, 585, 713, 1433, 269, 4746, 7064, 547, 595, 543, 661, 267, 585, 23831, 741, 18538, 585, 1863, 1569, 547, 519, 12240, 540, 14046, 4930, 2139, 547, 6280, 1053, 855, 711, 547, 519, 1964, 540, 721, 563, 265, 2608, 2608, 2608, 27661, 2467, 616, 6456, 2984, 513, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 565, 16161, 543, 19088, 1108, 1290, 9037, 257, 607, 851, 540, 834, 295, 9331, 3036, 1315, 13445, 1315, 13636, 1299, 8836, 2668, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3796, 270, 631, 5417, 773, 289, 4534, 18248, 1889, 3563, 454, 631, 5417, 773, 779, 8748, 1922, 656, 20292, 2275, 944, 5816, 30314, 1284, 616, 513, 1895, 540, 476, 278, 628, 17603, 689, 12548, 945, 1616, 547, 2259, 938, 1603, 543, 2792, 1983, 269, 1284, 616, 9599, 547, 4228, 519, 6821, 540, 938, 4928, 543, 12840, 609, 824, 5049, 256, 7490, 4734, 721, 8292, 543, 707, 5816, 15745, 267, 865, 649, 666, 4431, 1394, 547, 596, 2336, 676, 631, 5417, 773, 289, 4116, 281, 11427, 269, 700, 889, 747, 692, 7922, 690, 9980, 1845, 454, 5903, 476, 1839, 267, 476, 2004, 267, 782, 692, 13043, 286, 670, 7795, 286, 901, 568, 513, 1360, 16168, 3381, 269, 25381, 568, 2965, 3257, 519, 3830, 7157, 476, 1839, 260, 5258, 8449, 676, 476, 276, 1797, 1142, 1268, 1058, 1205, 476, 276, 10065, 25381, 849, 1281, 519, 3830, 7157, 476, 276, 343, 276, 284, 1839, 780, 763, 1259, 14529, 1281, 519, 3830, 568, 11234, 269, 14529, 17337, 476, 1839, 676, 476, 276, 855, 646, 4991, 476, 1691, 607, 519, 2626, 799, 568, 4636, 269, 14529, 3081, 602, 476, 276, 4465, 1406, 979, 883, 476, 273, 855, 621, 786, 979, 883, 476, 276, 2899, 269, 14529, 1287, 3081, 476, 276, 268, 276, 815, 271, 269, 1261, 1287, 3081, 602, 2094, 646, 4769, 1406, 946, 519, 476, 273, 646, 6770, 621, 1524, 543, 12662, 519, 476, 273, 538, 4395, 540, 519, 476, 271, 547, 1118, 476, 736, 269, 14529, 1287, 17337, 476, 736, 1315, 476, 276, 799, 815, 476, 275, 269, 14529, 1287, 12662, 519, 476, 272, 538, 4395, 540, 519, 476, 275, 543, 4991, 476, 1691, 780, 30538, 849, 1281, 519, 1966, 27235, 269, 8575, 3081, 476, 276, 343, 1691, 284, 1839, 799, 4636, 269, 8575, 1101, 1281, 476, 276, 343, 275, 284, 736, 543, 1287, 476, 276, 343, 272, 284, 276, 1352, 8591, 873, 1927, 547, 1205, 476, 1839, 563, 289, 11035, 13290, 547, 1397, 8575, 543, 14529, 602, 476, 1691, 266, 1691, 266, 1691, 266, 1691, 266, 1691, 1281, 711, 3160, 476, 1839, 855, 14529, 1281, 27235, 547, 1118, 621, 3160, 476, 1839, 269, 14529, 8591, 476, 275, 266, 275, 266, 275, 266, 275, 266, 275, 547, 1205, 476, 736, 543, 1287, 476, 272, 266, 272, 266, 272, 266, 272, 266, 272, 547, 1205, 2947, 543, 1287, 8591, 476, 736, 266, 276, 547, 1205, 476, 1839, 780, 30538, 543, 14529, 779, 21173, 2979, 786, 849, 960, 609, 476, 275, 543, 476, 3607, 269, 1403, 972, 616, 476, 3607, 6960, 625, 543, 789, 2877, 547, 581, 5258, 8449, 676, 476, 275, 1004, 1142, 1268, 786, 1205, 476, 280, 6960, 625, 269, 4635, 14529, 779, 543, 8575, 779, 2979, 789, 1131, 1142, 1205, 476, 1240, 6960, 625, 780, 20684, 11540, 5181, 476, 1839, 267, 476, 1001, 272, 693, 476, 5400, 281, 6246, 6751, 3040, 6085, 3040, 3367, 338, 476, 13893, 275, 3040, 17776, 547, 18248, 5903 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23911, 476, 274, 269, 278, 269, 273, 630, 341, 274, 269, 278, 269, 273, 281, 280, 320, 274, 742, 322, 271, 5392, 273, 267, 5463, 476, 2190, 476, 1001, 279, 267, 476, 6349, 281, 4510, 281, 6246, 264, 3097, 314, 5141, 836, 476, 277, 269, 271, 630, 743, 836, 268, 7785, 269, 271, 269, 6872, 13580, 593, 29593, 7773, 454, 13911, 834, 15276, 2580, 834, 322, 9728, 2580, 834, 920, 323, 1080, 257, 610, 834, 997, 1619, 3890, 257, 585, 811, 1344, 563, 24257, 2575, 284, 22373, 339, 11336, 27997, 2580, 834, 331, 559, 1259, 333, 928, 2580, 834, 14006, 4731, 821, 2580, 834, 330, 573, 524, 28854, 2580, 834, 325, 564, 1399, 31116, 24257, 2575, 454, 9131, 339, 11336, 27997, 3299, 1412, 331, 559, 1259, 333, 928, 3299, 1412, 14006, 4731, 821, 3299, 1412, 330, 573, 524, 28854, 3299, 1412, 325, 564, 1399, 23300, 24257, 2575, 314, 275, 316, 6889, 329, 7897, 561, 3317, 517, 4840, 24257, 2575, 454, 9131, 339, 11336, 27997, 3299, 1412, 331, 559, 1259, 333, 928, 3299, 1412, 14006, 4731, 821, 3299, 1412, 330, 573, 524, 28854, 3299, 1412, 329, 7897, 561, 3317, 517, 23300, 24257, 2575, 314, 272, 316, 6889, 331, 559, 579, 17844, 9825, 4840, 24257, 2575, 454, 9131, 339, 11336, 27997, 3299, 1412, 331, 559, 579, 17844, 9825, 3299, 1412, 14006, 4731, 821, 3299, 1412, 330, 573, 524, 28854, 3299, 1412, 329, 7897, 561, 3317, 517, 23300, 24257, 1820, 9852, 639, 545, 994, 9131, 339, 11336, 27997, 3299, 1412, 331, 559, 579, 17844, 9825, 3299, 1412, 14006, 4731, 821, 3299, 1412, 330, 573, 524, 28854, 3299, 1412, 329, 7897, 561, 3317, 517, 23300, 24257, 2575, 6910, 2891, 325, 564, 1399, 5602, 24257, 2575, 454, 9131, 339, 11336, 27997, 3299, 1412, 331, 559, 579, 17844, 9825, 3299, 1412, 14006, 4731, 821, 3299, 1412, 330, 573, 524, 28854, 3299, 1412, 329, 7897, 561, 3317, 517, 3299, 1412, 325, 564, 1399, 23300, 24257, 6221, 284, 16443, 545, 21014, 4590, 24257, 6221, 454, 262, 325, 564, 1399, 7055, 24257, 2575, 454, 9131, 339, 11336, 27997, 3299, 1412, 331, 559, 579, 17844, 9825, 3299, 1412, 14006, 4731, 821, 3299, 1412, 330, 573, 524, 28854, 3299, 1412, 329, 7897, 561, 3317, 517, 23300, 24257, 2575, 314, 271, 2639, 1405, 11336, 27997, 7055, 24257, 2575, 314, 275, 2639, 262, 329, 7897, 561, 3317, 517, 7055, 24257, 4778, 284, 14277, 20580, 921, 2580, 834, 528, 1052, 2580, 834, 13582, 31116, 24257, 4778, 454, 9131, 20580, 921, 3299, 1412, 528, 1052, 3299, 1412, 13582, 23300, 24257, 7058, 284, 6358, 2891, 29674, 513, 2681, 281, 5602, 29674, 513, 2681, 281, 257, 344, 3641, 4840, 24257, 952, 7058, 538, 4778, 454, 306, 9321, 1314, 13286, 281, 23380, 16105, 454, 24257, 952, 7058, 538, 4778, 912, 13537, 2891, 9767, 31665, 7157, 5602, 12828, 912, 13537, 2891, 342, 3994, 267, 7058, 1586, 15419, 28768, 342, 3994, 267, 7058, 1586, 454, 24257, 7058, 284, 6358, 2891, 29674, 513, 2681, 281, 5602, 29674, 513, 2681, 281, 257, 20580, 921, 4840, 24257, 952, 7058, 538, 4778, 912, 13537, 2891, 9767, 31665, 7157, 32405, 12828, 912, 13537, 2891, 342, 3994, 267, 7058, 1586, 15419, 28768, 342, 3994, 267, 7058, 1586, 454, 24257, 3097 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28896, 689, 10003, 29853, 6452, 6342, 630, 305, 14011, 264, 13822, 513, 2101, 2014, 540, 796, 11499, 7972, 1851, 1453, 538, 25941, 580, 541, 327, 7997, 540, 3345, 4639, 3127, 269, 634, 27496, 540, 681, 14011, 1644, 7972, 538, 713, 2085, 1895, 568, 15877, 538, 938, 2197, 269, 901, 24794, 8826, 1353, 630, 3192, 275, 1700, 1001, 274, 264, 3769, 1453, 630, 414, 358, 377, 1240, 1296, 264, 945, 2968, 9601, 540, 681, 14011, 543, 13604, 5747, 1282, 519, 1576, 540, 2126, 269, 634, 2022, 332, 677, 655, 543, 6413, 5638, 540, 519, 9601, 941, 1031, 547, 2445, 519, 16917, 8344, 1239, 3823, 2085, 267, 3023, 267, 1858, 540, 15335, 267, 3092, 269, 1452, 7972, 27648, 476, 280, 269, 275, 260, 540, 2698, 4155, 8009, 7972, 4080, 693, 713, 6413, 269, 4934, 540, 513, 2698, 540, 476, 3583, 280, 681, 14011, 7972, 538, 1453, 267, 827, 476, 1626, 260, 941, 4080, 538, 519, 3625, 1032, 540, 476, 3192, 275, 1700, 4281, 543, 713, 8167, 8519, 547, 476, 280, 269, 275, 260, 1282, 519, 3625, 1032, 540, 476, 2735, 275, 1700, 6434, 543, 814, 7283, 3592, 3586, 2094, 1287, 269, 634, 5021, 1297, 540, 9601, 20705, 547, 519, 2829, 540, 670, 776, 3570, 630, 3607, 8472, 543, 23570, 630, 4097, 22103, 589, 2362, 1297, 540, 7972, 941, 4767, 538, 6917, 2551, 630, 2568, 22103, 4107, 540, 519, 28896, 7018, 1063, 476, 1321, 1700, 275, 10681, 630, 3066, 269, 280, 8472, 543, 19516, 20379, 630, 5325, 269, 279, 8472, 941, 1336, 547, 581, 519, 1034, 4122, 4299, 269, 634, 1034, 1455, 4299, 729, 519, 476, 1626, 1700, 1240, 1032, 2085, 1895, 630, 3374, 269, 274, 22103, 28864, 547, 2212, 543, 8405, 3148, 630, 10037, 269, 275, 8472, 729, 3743, 585, 513, 5354, 540, 7972, 269, 634, 1353, 11943, 602, 519, 681, 14011, 3788, 606, 1271, 2014, 540, 796, 11499, 7972, 538, 1453, 269, 634, 11979, 8167, 540, 891, 7972, 936, 519, 2250, 1614, 5756, 19752, 602, 519, 4155, 3106, 4507, 723, 1044, 23696, 538, 7303, 1757, 8017, 543, 991, 2417, 9283, 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 ]

[ 0, 258, 4009, 10174, 26316, 692, 283, 734, 9373, 4082, 692, 24066, 10663, 20734, 26316, 692, 28350, 476, 272, 814, 513, 4009, 3597, 267, 865, 649, 6218, 543, 14458, 912, 8245, 680, 1518, 20734, 26316, 780, 10267, 9535, 4009, 5072, 267, 649, 1294, 602, 476, 13923, 815, 476, 18597, 543, 476, 14341, 815, 476, 16348, 563, 5978, 2626, 538, 8918, 3898, 568, 1063, 476, 1428, 543, 476, 1626, 454, 5978, 2626, 568, 711, 606, 8870, 267, 865, 649, 2119, 14458, 621, 883, 519, 1587, 540, 606, 8870, 543, 513, 9097, 780, 2171, 798, 713, 676, 17609, 1142, 1587, 2036, 334, 540, 476, 26316, 10992, 585, 8870, 4009, 3597, 2418, 2630, 912, 26316, 815, 20734, 14862, 278, 454, 26316, 815, 20734, 14530, 280, 692, 5804, 602, 1592, 267, 519, 5207, 3815, 602, 814, 606, 8870, 4009, 3597, 568, 476, 272, 563, 11997, 267, 649, 946, 519, 1587, 2036, 334, 20734, 26316, 815, 20734, 14862, 278, 454, 24066, 15070, 4009, 5072, 267, 649, 1294, 602, 20734, 272, 815, 476, 272, 692, 7712, 476, 272, 568, 519, 6574, 1455, 3815, 267, 713, 4009, 3597, 3112, 581, 16866, 1022, 2417, 912, 11372, 17586, 676, 938, 3586, 540, 476, 272, 454, 26316, 815, 476, 26316, 692, 27026, 4009, 3597, 2474, 585, 476, 272, 454, 272, 18414, 26316 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 279, 20609, 8894, 18851, 6581, 826, 6388, 5727, 7531, 5035, 6581, 826, 912, 825, 5727, 634, 8173, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 29096, 815, 29129, 825, 1219, 568, 318, 24105, 4311, 2187, 1038, 5727, 561, 5793, 8173, 1038, 2132, 1582, 29096, 2652, 29129, 825, 1219, 679, 28255, 4311, 267, 6221, 2187, 1038, 5727, 568, 8173, 1038, 1582, 29096, 27044, 263, 271, 267, 6221, 2020, 825, 1219, 632, 28255, 4311, 2187, 1038, 5727, 1360, 8173, 1038, 2132, 1582, 29096, 21014, 10797, 825, 1219, 2450, 4311, 2187, 1038, 5727, 30414, 8173, 1038, 2132, 7003, 4311, 29096, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 7117, 815, 6581, 826, 4590, 825, 952, 7117, 18994, 318, 24105, 10031, 1038, 7117, 269, 523, 28255, 3488, 14140, 5073, 1038, 7117, 269, 523, 28255, 3488, 16149, 5073, 1038, 7117, 269, 523, 28255, 263, 274, 994, 1038, 7117, 269, 523, 28255, 3488, 18431, 17210, 825, 1820, 2891, 23917, 281, 14307, 7117, 25915, 31156, 825, 1247, 711, 7117, 18994, 318, 24105, 10031, 1038, 1820, 32429, 19709, 28255, 31156 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9741, 645, 22324, 6068, 3695, 519, 803, 20760, 2282, 1010, 3276, 992, 269, 2290, 13566, 12784, 267, 646, 1336, 1079, 21743, 2699, 13212, 14084, 593, 519, 6371, 269, 1261, 13603, 873, 909, 267, 9599, 547, 3142, 873, 1753, 547, 1397, 1010, 1920, 780, 2026, 646, 5577, 6244, 2059, 267, 646, 3357, 2066, 8293, 597, 7758, 267, 945, 729, 11112, 4730, 609, 2185, 1035, 27163, 269, 1358, 536, 6407, 543, 18202, 267, 18343, 1164, 538, 519, 2011, 1354, 13941, 1394, 538, 8293, 597, 7758, 781, 533, 9155, 269, 654, 10248, 1864, 1500, 9741, 645, 22324, 7340, 782, 827, 1010, 8949, 13212, 780, 257, 17098, 8293, 597, 7758, 256, 594, 1294, 596, 2811, 2348, 1187, 609, 707, 1035, 27163, 2437, 1767, 9741, 645, 22324, 563, 306, 9595, 7758, 6743, 936, 543, 14452, 267, 834, 17764, 32597, 267, 9741, 645, 22324, 256, 8786, 267, 891, 1035, 27163, 1118, 1390, 9162, 30882, 28012, 645, 22324, 2219, 585, 513, 4090, 543, 1287, 4280, 267, 834, 3719, 8293, 597, 7758, 267, 4465, 1405, 596, 3548, 1346, 1035, 27163, 2663, 24350, 4415, 513, 6616, 12837, 267, 8293, 597, 7758, 12943, 267, 834, 8170, 1576, 267, 9741, 645, 22324, 256, 29892, 609, 1250, 1035, 27163, 3085, 1405, 1689, 875, 1082, 594, 723, 1107, 789, 3513, 1869, 581, 1934, 950, 594, 1616, 547, 3548, 873, 3010, 30342, 8049, 267, 9741, 645, 22324, 4956, 547, 1449, 856, 1018, 8293, 597, 7758, 1185, 5143, 1864, 269, 3807, 899, 8293, 597, 7758, 267, 646, 5129, 609, 1010, 13212, 676, 19184, 532, 873, 9900, 883, 519, 2011, 267, 20414, 873, 267, 543, 12902, 873, 1472, 269, 2991, 930, 942, 267, 646, 7691, 1945, 1271, 13718, 10214, 1498, 646, 1185, 1044, 11981, 5128, 30140, 267, 519, 1079, 13212, 941, 1869, 538, 4395, 540, 1864, 256, 3571, 10761, 5828, 883, 22906, 607, 646, 6956, 602, 4730, 609, 1010, 13212, 4769, 1405, 946, 873, 909, 610, 1491, 873, 2476, 282, 1454, 899, 8293, 597, 7758, 781, 1035, 27163, 267, 789, 7283, 2150, 31189, 543, 2139, 585, 824, 5301, 1932, 269, 901, 6397, 6602, 8118, 909, 1007, 7399, 585, 741, 17705, 13000, 1247, 3450, 1312, 2828, 513, 3407, 3621, 1523, 910, 3527, 1810, 1405, 8209, 7369, 9424, 8259, 1031, 2047, 585, 4616, 610, 7004, 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, 723, 476, 273, 13212, 543, 1404, 609, 476, 275, 9162, 269, 1215, 1082, 13212, 798, 596, 723, 2451, 888, 2791, 1869, 723, 476, 273, 13212, 267, 607, 4730, 609, 9162, 1281, 711, 1860, 519, 1297, 540, 13212, 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 ]

[ 0, 5814, 556, 692, 258, 335, 8432, 1067, 815, 1412, 323, 629, 10907, 25519, 290, 10621, 322, 290, 8619, 6395, 28847, 5976, 1930, 3488, 6358, 17902, 3299, 1412, 337, 10807, 607, 3758, 912, 825, 12249, 815, 3758, 18667, 30800, 3698, 23465, 5416, 267, 536, 2187, 825, 2132, 513, 31573, 3890, 2652, 536, 31573, 3890, 543, 630, 320, 18994, 12294, 3890, 543, 536, 18994, 21639, 3890, 610, 536, 18994, 12294, 3890, 543, 513, 18994, 21639, 3890, 9239, 3698, 2746, 9638, 8432, 1067, 2187, 825, 4994, 815, 476, 271, 454, 825, 1267, 815, 12249, 14714, 8692, 4590, 825, 1247, 4994, 2999, 7003, 31114, 2187, 1038, 524, 815, 1267, 27709, 2639, 1038, 952, 4994, 3436, 476, 271, 543, 23465, 6262, 267, 1267, 27709, 910, 476, 272, 316, 2187, 2018, 1267, 815, 1267, 314, 271, 281, 8161, 910, 476, 272, 316, 1341, 1267, 27709, 1341, 476, 272, 281, 2639, 2018, 4994, 20699, 476, 272, 454, 2018, 3136, 454, 1038, 952, 4994, 2999, 7003, 31114, 264, 910, 476, 272, 543, 23465, 6262, 267, 1267, 27709, 1341, 476, 272, 316, 2187, 2018, 1267, 815, 1267, 314, 271, 281, 8161, 316, 1341, 1267, 27709, 1341, 476, 273, 281, 2639, 2018, 3136, 454, 1038, 4994, 6834, 476, 272, 454, 825, 2132, 1267, 7531, 516, 706, 1027, 815, 2746, 9638, 8432, 1067, 994, 2745, 2891, 8512, 476, 272, 281, 28088, 532, 12249, 568, 15079, 4559, 910, 1412, 24001, 262, 2668, 8971, 12759, 263, 516, 706, 1027, 1070, 4389, 11723, 24393, 815, 1592, 9852, 777, 263, 577, 337, 267, 2039, 263, 867, 3488, 320, 30670, 3921, 3488, 345, 10807, 1341, 476, 272, 21875, 2381, 3065, 815, 7003, 9638, 8432, 1067, 994, 2381, 318, 12072, 815, 7183, 454, 1721, 524, 538, 5022, 912, 825, 6569, 815, 556, 16553, 3488, 314, 346, 2410, 348, 316, 8339, 8971, 6262, 267, 524, 269, 21639, 3890, 1070, 1412, 3299, 12249, 994, 825, 4389, 815, 2746, 263, 8145, 3437, 994, 825, 952, 5934, 3436, 7003, 263, 516, 706, 1027, 2187, 1038, 5934, 815, 7003, 263, 516, 706, 1027, 994, 1038, 1295, 318, 12072, 815, 524, 454, 2745, 2891, 8512, 476, 273, 281, 14594, 1412, 24001, 262, 2164, 538, 513, 2746, 539, 3259, 540, 15079, 2668, 8971, 263, 2381, 318, 12072, 267, 5934, 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 ]

[ 0, 9223, 281, 1924, 9041, 19345, 519, 2777, 1317, 30621, 6499, 547, 2661, 538, 513, 2973, 1604, 1247, 20574, 729, 30255, 563, 271, 269, 30621, 454, 272, 269, 20574, 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 ]

[ 0, 2304, 12844, 333, 476, 4489, 277, 454, 305, 756, 2548, 540, 519, 30407, 454, 24820, 1189, 539, 676, 8581, 2008, 347, 292, 5554, 2225, 1475, 17829, 945, 6039, 538, 513, 4108, 4390, 1282, 519, 3018, 540, 476, 2537, 4989, 476, 4489, 277, 2008, 24820, 1189, 539, 585, 1475, 306, 16291, 1282, 519, 14914, 29547, 2008, 347, 15307, 21521, 1475, 2190, 5130, 476, 3707, 272, 2008, 763, 476, 4489, 277, 29274, 568, 513, 3028, 30407, 540, 519, 6243, 540, 8581, 269, 12878, 2082, 476, 2190, 5130, 476, 3707, 272, 267, 519, 30407, 729, 13752, 547, 1346, 945, 21235, 6444, 4108, 3028, 1282, 519, 3018, 540, 476, 2537, 4989, 476, 4489, 277, 1282, 519, 14914, 29547, 563, 763, 476, 4489, 277, 29274, 568, 513, 19730, 9764, 30407, 5111, 476, 3374, 6515, 630, 272, 269, 275, 538, 264, 538, 8006, 269, 634, 1374, 18187, 919, 519, 4013, 9721, 8136, 30160, 267, 513, 3141, 10767, 560, 1147, 25236, 539, 676, 606, 476, 279, 15304, 539, 5182, 269, 634, 1073, 2091, 540, 519, 30407, 12217, 513, 26841, 540, 519, 2669, 540, 595, 14243, 577, 592, 664, 333, 267, 13148, 11303, 676, 513, 18156, 12966, 269, 2201, 519, 9258, 568, 519, 30115, 281, 10323, 288, 384, 488, 14011, 2562, 19364, 595, 383, 479, 306, 7563, 476, 4489, 277, 267, 799, 18922, 547, 834, 292, 2120, 10432, 476, 4489, 277, 2668, 634, 30407, 568, 17735, 689, 513, 26781, 540, 3368, 3039, 543, 3368, 10538, 267, 519, 3039, 547, 519, 649, 31600, 1318, 269, 2311, 519, 1283, 540, 519, 26781, 568, 513, 20022, 3046, 689, 799, 519, 26781, 13793, 338, 12946, 606, 954, 331, 3166, 22469, 1374, 563, 268, 20875, 834, 15578, 476, 4489, 277, 32212, 3201, 2668, 4347, 775, 17086, 8581, 269, 5291, 2517, 4178, 6230, 26090, 1105, 1161, 269, 773, 11721, 850, 611, 2381, 270, 12528, 318, 340, 22744, 270, 5960, 15425, 270, 318, 25269, 3701, 270, 8469, 1023, 270, 8469, 531, 318, 4489, 277, 15005, 269, 8158, 476, 1789, 4873, 476, 1001, 277, 563, 268, 20875, 834, 8469, 1023, 540, 519, 9721, 4347, 775, 17086, 2668, 9721, 4347, 775, 17086, 269, 5239, 476, 1001, 271, 269, 5291, 2517, 4178, 6230, 26090, 269, 773, 11721, 850, 611, 2381, 270, 12528, 318, 340, 22744, 270, 30502, 270, 14813, 334, 318, 28495, 516, 7933, 665, 3701, 22230, 325, 318, 8469, 1023, 318, 1001, 271, 15005, 269, 8158, 476, 1789, 4873, 476, 1001, 277, 563, 347, 1607, 2985, 3096, 11300, 12780, 13397, 10234, 1543, 689, 9504, 630, 1613, 4589, 1040, 347 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5727, 301, 559, 9045, 529, 715, 27599, 8838, 3065, 3269, 610, 834, 257, 301, 5847, 855, 519, 7454, 265, 568, 519, 2138, 1729, 540, 799, 20031, 4536, 1222, 25624, 11833, 24350, 12585, 281, 17451, 2023, 454, 2704, 328, 1162, 281, 17451, 2023, 267, 17451, 2023, 630, 4134, 3711, 580, 6672, 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 ]