rookshanks/pile_uncopyrighted_1024_revised

input_ids sequencelengths 2 1.02k	attention_mask sequencelengths 2 1.02k	length int64 2 1.02k
[ 0, 368, 1912, 457, 85, 923, 1457, 8911, 9001, 15592, 9159, 616, 3909, 3580, 281, 12633, 275, 11637, 13, 347, 1199, 347, 597, 651, 774, 763, 326, 5107, 13, 1919, 5759, 3587, 12453, 436, 2523, 15, 12526, 13, 359, 457, 306, 2326, 1077, 1652, 1921, 281, 755, 9049, 670, 326, 6387, 15, 187, 187, 6175, 4673, 15, 2207, 11078, 388, 1506, 432, 18143, 556, 41443, 4081, 10843, 13, 352, 369, 29919, 342, 247, 12786, 439, 2371, 273, 27531, 13, 275, 629, 984, 352, 4242, 281, 2953, 253, 22338, 3162, 275, 667, 14282, 1039, 323, 9001, 34601, 9158, 15, 187, 187, 3378, 388, 1506, 425, 1875, 15072, 285, 247, 3480, 273, 247, 2590, 30162, 14, 1257, 12287, 275, 253, 8993, 2852, 13, 627, 457, 84, 642, 1921, 281, 2186, 634, 6345, 6179, 323, 5759, 281, 769, 15, 1284, 309, 4159, 896, 275, 4397, 13, 1375, 8269, 2478, 13, 417, 253, 4400, 2208, 13, 588, 320, 253, 4394, 8925, 253, 2852, 273, 9001, 34601, 275, 253, 530, 15, 52, 15, 187, 187, 2513, 352, 1896, 326, 253, 401, 5797, 1379, 247, 3213, 19265, 285, 1611, 281, 2701, 3909, 9001, 34601, 285, 16791, 32, 1310, 368, 1642, 18718, 44056, 17953, 13, 275, 958, 13, 326, 651, 320, 29224, 15, 1292, 323, 247, 30408, 273, 4606, 13, 352, 434, 38342, 4673, 15, 17953, 4850, 521, 5730, 15, 187, 187, 23064, 2474, 1852, 20, 27, 380, 23519, 18631, 14, 3169, 1566, 273, 9001, 34601, 588, 5276, 37359, 323, 3054, 326, 1611, 352, 187, 187, 510, 5020, 273, 530, 15, 52, 15, 3054, 452, 1375, 14, 6321, 2257, 350, 447, 13, 534, 4245, 36284, 3694, 4413, 275, 29488, 342, 1375, 13001, 15, 1292, 3054, 403, 1469, 281, 1089, 562, 4541, 326, 627, 457, 84, 2717, 686, 14077, 2364, 8, 670, 247, 1375, 6757, 1146, 42603, 342, 253, 9137, 13, 2495, 4323, 13, 285, 1885, 2440, 326, 667, 20566, 9001, 34601, 4254, 3198, 281, 320, 5547, 15, 187, 187, 27121, 326, 1158, 597, 476, 15909, 2791, 3894, 342, 247, 40672, 285, 12314, 9001, 34601, 1885, 403, 11213, 272, 3746, 1108, 9001, 701, 85, 641, 403, 18144, 6383, 326, 1912, 457, 85, 16359, 323, 271, 18134, 9159, 3365, 984, 352, 457, 84, 686, 783, 760, 2165, 275, 3874, 2464, 187, 187, 1147, 457, 84, 417, 285, 253, 30569, 2791, 588, 4035, 281, 25903, 604, 253, 4320, 5795, 3548, 457, 85, 9696, 16694, 13, 11638, 13, 285, 3947, 25785, 33449, 15, 187, 187, 12864, 247, 1007, 387, 253, 18660, 273, 9001, 5098, 326, 3819, 323, 3909, 2791, 3894, 275, 253, 1986, 11491, 13, 436, 1142, 4413, 2226, 984, 642, 767, 9001, 34601, 6383, 403, 19605, 15, 16842, 816, 13966, 697, 3909, 37020, 275, 3718, 273, 247, 8374, 5358, 985, 846, 1107, 273, 4715, 436, 958, 253, 1892, 1039, 15, 187, 187, 27121, 326, 1611, 281, 44911, 907, 9001, 34601, 323, 3746, 403, 1469, 281, 923, 15005, 5356, 1698, 24528, 285, 417, 320, 2104, 281, 9295, 2791, 3894, 432, 30569, 15, 187, 187, 23064, 2474, 1852, 21, 27, 329, 1375, 342, 642, 6483, 15777, 390, 7393, 11656, 7305, 588, 1509, 247, 6007, 13, 18597, 326, 6109, 14, 7483, 9001, 34601, 310, 247, 1077, 16571, 4500, 187, 187, 32086, 1037, 8288, 13, 9001, 34601, 1663, 3548, 457, 85, 247, 25961, 2165, 15, 4952, 1078, 253, 6054, 273, 15878, 18088, 13, 627, 369, 247, 9168, 1984, 466, 327, 1046, 2972, 275, 954, 2201, 8238, 1475, 253, 2586, 15, 187, 187, 510, 1072, 310, 2032, 3063, 13, 760, 253, 4302, 556, 16323, 15, 15000, 34601, 310, 1633, 326, 7458, 513, 1223, 7487, 253, 1943, 2165, 13, 285, 6109, 34601, 2789, 352, 3477, 285, 11638, 323, 9001, 701, 85, 641, 281, 1659, 247, 701, 327, 616, 1211, 673, 15, 187, 187, 14131, 2080, 13, 253, 1643, 3054, 326, 452, 14047, 9001, 34601, 452, 6483, 15777, 13, 533, 1907, 247, 25961, 390, 7393, 11656, 471, 275, 247, 1375, 310, 7094, 15279, 281, 6153, 247, 5547, 9001, 34601, 2791, 15, 18805, 9001, 3305, 9158, 1053, 457, 85, 878, 247, 3520, 9509, 281, 10196, 13, 285, 3054, 403, 23862, 327, 281, 436, 958, 4541, 15, 187, 187, 27121, 751, 9385, 285, 16091, 13, 6747, 273, 534, 452, 16791, 9189, 13, 588, 320, 18216, 6109, 9001, 34601, 10843, 275, 6247, 15, 5037, 457, 85, 320, 9861, 281, 923, 581, 390, 1097, 273, 841, 3054, 37015, 6109, 9001, 34601, 13, 285, 275, 253, 1232, 5276, 326, 6109, 310, 247, 16571, 285, 42733, 1462, 14, 21636, 1885, 15, 187, 187, 3039, 369, 253, 1390, 673, 368, 9047, 247, 43410, 14811, 32, 14815, 352, 1361, 604, 368, 574, 690, 4808, 275, 253, 2165, 32, 2064, 457, 84, 4555, 253, 2238, 273, 701, 326, 39411, 9001, 32132, 588, 320, 7378, 281, 1379, 281, 48404, 616, 18395, 285, 17200, 275, 253, 1345, 5130, 15, 187, 187, 1322, 4061, 1277, 310, 247, 4335, 1650, 273, 271, 4232, 9728, 326, 812, 5649, 10260, 432, 9001, 34601, 15, 2732, 512, 13, 604, 368, 751, 34601, 327, 12074, 13, 2139, 5082, 457, 85, 368, 751, 34601, 327, 247, 35008, 8936, 2715, 273, 247, 8815, 326, 4566, 275, 6714, 273, 1052, 6574, 591, 4964, 32, 1244, 1223, 271, 3038, 14, 5056, 13170, 25595, 5492, 778, 1646, 734, 1222, 494, 281, 15120, 7458, 13, 352, 778, 816, 320, 625, 12302, 604, 1016, 13427, 10262, 247, 747, 34601, 5107, 15, 187, 187, 4527, 2282, 13, 690, 598, 5478, 32132, 403, 2168, 19714, 327, 9001, 34601, 1600, 347, 629, 273, 616, 9137, 5700, 15, 15794, 32132, 751, 253, 1594, 4639, 285, 253, 329, 9006, 3524, 326, 5277, 8655, 34601, 9091, 327, 616, 3958, 588, 1361, 747, 7458, 1007, 2469, 253, 1679, 14, 14644, 14, 47, 4639, 46672, 12816, 327, 253, 1673, 15, 187, 187, 4257, 314, 4232, 9001, 34601, 9158, 778, 1265, 3365, 407, 9159, 760, 34601, 4610, 327, 253, 2201, 530, 15, 52, 15, 285, 5284, 9001, 32132, 13, 533, 1902, 9001, 15592, 281, 1265, 3192, 45780, 327, 841, 625, 26015, 27278, 973, 1078, 6247, 310, 275, 253, 5098, 15, 187, 187, 23064, 2474, 1852, 23, 27, 1457, 8911, 588, 4035, 281, 1756, 13, 533, 23050, 588, 3464, 253, 11784, 6657, 187, 187, 4257, 8911, 457, 84, 6016, 7788, 281, 21097, 1770, 846, 1770 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 347, 418, 3017, 27183, 15, 3808, 13894, 1972, 2486, 2007, 35225, 13, 323, 1650, 346, 15844, 10768, 531, 11177, 1261, 3446, 187, 187, 688, 269, 2976, 285, 7989, 33223, 13, 2195, 310, 908, 281, 861, 1419, 247, 13947, 3290, 275, 247, 1894, 13, 3798, 861, 5411, 271, 5795, 7914, 273, 247, 1894, 432, 247, 15516, 789, 15, 20599, 273, 436, 651, 320, 346, 30998, 6484, 2, 37, 8306, 80, 3, 390, 346, 55, 1301, 603, 2, 33244, 3, 432, 11643, 28753, 269, 2976, 15, 733, 310, 671, 908, 281, 19148, 253, 1655, 35554, 273, 247, 1894, 342, 2709, 22925, 390, 18655, 13, 824, 347, 281, 12129, 346, 22552, 263, 2, 2422, 3, 432, 346, 22705, 2, 2422, 3, 275, 247, 789, 1754, 327, 13525, 33107, 1219, 10398, 382, 15, 380, 6510, 273, 436, 10393, 310, 7202, 13, 3738, 352, 310, 24045, 281, 452, 23923, 342, 2176, 41673, 486, 15601, 386, 427, 34483, 308, 4405, 868, 2250, 8442, 13, 323, 1650, 13, 346, 49007, 20929, 2, 14765, 15916, 995, 346, 31059, 7873, 2, 17314, 49707, 995, 285, 346, 30389, 21329, 1209, 2, 16833, 13852, 80, 3446, 187, 187, 2115, 982, 187, 187, 6080, 17478, 5098, 13, 3340, 36962, 26465, 273, 253, 4260, 14, 938, 394, 5331, 13, 21774, 897, 253, 385, 29174, 1127, 3185, 273, 253, 2180, 13, 534, 2097, 253, 1894, 556, 816, 8156, 1633, 28, 12401, 672, 253, 1953, 1616, 4620, 3185, 13, 534, 2097, 253, 1894, 310, 13477, 13, 9861, 390, 597, 513, 417, 871, 752, 310, 9369, 15, 831, 14280, 281, 1421, 281, 36074, 6519, 13, 275, 1386, 342, 253, 643, 23400, 3841, 1846, 275, 17478, 5098, 15, 329, 5110, 273, 253, 16038, 13, 2299, 13, 369, 3365, 326, 247, 2180, 1537, 15529, 275, 253, 11993, 1232, 908, 387, 253, 673, 13, 5727, 271, 385, 29174, 1127, 651, 2779, 3464, 43455, 1014, 604, 627, 369, 247, 11993, 1289, 2682, 15, 1198, 247, 2159, 2180, 10908, 8652, 13, 347, 17234, 14, 249, 14, 32100, 273, 24466, 35018, 13, 9919, 281, 33204, 616, 689, 2327, 407, 247, 2159, 14, 27379, 8913, 327, 385, 29174, 2792, 17965, 13, 534, 3977, 281, 271, 32127, 290, 3480, 273, 12365, 17256, 2368, 327, 1142, 14683, 15, 187, 187, 2115, 280, 1984, 8406, 49867, 322, 2, 6813, 6058, 2378, 26187, 6704, 521, 1416, 342, 271, 385, 29174, 1955, 281, 253, 8803, 273, 970, 731, 672, 4028, 17478, 20477, 28, 352, 3395, 521, 5702, 1416, 432, 840, 327, 15, 10244, 13, 17478, 9558, 7493, 24999, 2, 556, 908, 253, 385, 29174, 1127, 846, 521, 1416, 4768, 521, 5249, 15, 187, 187, 688, 17478, 5098, 285, 26465, 275, 2087, 13, 247, 1781, 385, 29174, 1127, 310, 2223, 908, 2822, 390, 689, 247, 1894, 434, 1481, 281, 5224, 9326, 15, 50276, 34, 1953, 1616, 476, 12014, 320, 908, 281, 5224, 13775, 15, 187, 187, 6892, 859, 187, 187, 688, 29992, 14951, 31487, 12853, 247, 1175, 2118, 13, 346, 2, 1476, 12853, 271, 7126, 2118, 13, 346, 32, 1476, 12853, 247, 42326, 2118, 13, 285, 346, 2, 865, 12853, 271, 4722, 13, 29198, 2118, 15, 50276, 688, 690, 29992, 11640, 824, 347, 1781, 14, 4697, 1608, 48000, 11640, 13, 31487, 310, 908, 281, 1924, 7437, 26475, 407, 17429, 12422, 390, 13195, 15, 187, 187, 4316, 37588, 934, 187, 688, 1810, 37588, 934, 13, 271, 385, 29174, 1616, 3542, 846, 247, 3159, 310, 908, 281, 5224, 697, 3361, 275, 253, 23607, 34947, 285, 9585, 12967, 5552, 533, 697, 5928, 432, 253, 23607, 1810, 37588, 934, 32392, 26372, 13, 3798, 984, 253, 3159, 556, 644, 24242, 13413, 15, 187, 187, 8932, 2910, 187, 1672, 29174, 2792, 390, 23317, 38235, 476, 320, 908, 327, 4868, 35817, 281, 9173, 247, 346, 17124, 14397, 1132, 3446, 187, 187, 14918, 792, 3440, 187, 510, 3961, 2195, 4672, 313, 1087, 251, 11493, 346, 1779, 76, 775, 76, 775, 76, 2807, 4648, 385, 29174, 2792, 347, 697, 1416, 15, 187, 187, 688, 4695, 13, 253, 1684, 14, 42246, 3961, 9251, 280, 2, 387, 253, 5201, 1940, 8231, 253, 385, 29174, 1127, 275, 697, 1416, 28, 436, 3395, 253, 346, 2252, 14, 35844, 264, 9400, 327, 544, 20227, 62, 3935, 16431, 1475, 253, 1533, 3446, 496, 4748, 13, 253, 385, 29174, 1616, 369, 294, 14, 14447, 264, 1563, 253, 3961, 434, 8085, 15, 187, 187, 510, 3961, 29811, 253, 11412, 25475, 2, 29820, 271, 385, 29174, 1616, 275, 697, 1416, 13, 347, 973, 347, 2067, 5400, 285, 4498, 14505, 285, 32223, 2144, 15, 20599, 2486, 616, 9575, 7998, 32832, 10, 5863, 380, 25150, 89, 4672, 1476, 285, 253, 5400, 2006, 3628, 15844, 27, 19778, 15844, 1608, 334, 312, 38086, 15844, 1244, 1889, 68, 959, 407, 13529, 18963, 15844, 15, 187, 187, 7878, 26650, 27653, 17521, 4219, 617, 3924, 1416, 346, 49, 2, 19752, 995, 285, 4648, 1264, 385, 29174, 2792, 275, 253, 749, 5564, 273, 617, 4267, 3727, 13, 6495, 383, 388, 953, 1051, 1893, 10351, 15844, 15, 187, 187, 46776, 187, 187, 510, 385, 29174, 1616, 369, 2908, 275, 253, 4060, 273, 34511, 1240, 35787, 434, 5579, 2962, 13, 34511, 1240, 2, 380, 385, 29174, 1616, 369, 1996, 253, 2256, 273, 247, 17123, 4154, 875, 47385, 6029, 265, 285, 617, 22273, 13, 23239, 500, 1513, 293, 13, 275, 253, 1023, 2050, 10391, 9037, 13, 346, 510, 11982, 1648, 272, 16480, 386, 3446, 47385, 1694, 14004, 342, 23239, 323, 417, 8133, 271, 385, 29174, 1616, 387, 253, 990, 273, 247, 3935, 670, 617, 3331, 1907, 247, 6858, 15, 23239, 2335, 9559, 6517, 281, 253, 14916, 14226, 285, 9377, 598, 342, 47385, 13, 8133, 271, 385, 29174, 1616, 846, 521, 629, 272, 3000, 27, 346, 42, 1353, 6108, 1476, 187, 187, 510, 11203, 187, 688, 12256, 84, 13, 271, 385, 29174, 1616, 310, 3798, 908, 672, 253, 4060, 273, 253, 921, 556, 253, 1072, 4060, 273, 247, 4498, 1561, 253, 769, 15, 20599, 273, 436, 403, 2722, 751, 17360, 2, 285, 353, 1861, 353, 571, 11388, 5983, 187, 187, 5035, 671, 187, 13525, 3523, 187, 496, 13083, 1953, 285, 385, 29174, 10880, 187, 367, 10593, 2368, 187, 37060, 17256, 2368, 187, 187, 16927, 187, 187, 16927, 187, 187, 4941, 187, 187, 7504, 4859, 535, 530, 12, 39060, 385, 29174, 1127, 1905 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 5225, 35930, 39915, 211, 14274, 15962, 5225, 11894, 240, 6238, 24553, 20281, 15446, 223, 5959, 238, 20622, 16401, 40969, 33859, 15962, 9850, 40951, 4340, 22580, 224, 27727, 33656, 214, 10962, 114, 6238, 24553, 20281, 29918, 35321, 39465, 25276, 39859, 22044, 5225, 21275, 12335, 4340, 187, 187, 1835, 14084, 26912, 34, 2522, 33822, 2490, 187, 1628, 13610, 37373, 18764, 36778, 23373, 17955, 226, 12462, 232, 15899, 120, 26581, 242, 29766, 22329, 5225, 26974, 227, 16401, 36666, 28791, 6238, 35930, 39295, 12755, 235, 34179, 9850, 16677, 6238, 31811, 240, 44020, 121, 18245, 220, 44314, 48815, 14129, 96, 47615, 4340, 668, 187, 187, 42055, 31486, 14377, 27896, 6914, 16401, 44114, 48815, 5225, 44157, 24160, 6238, 42843, 3218, 231, 41478, 6765, 121, 30423, 26795, 26151, 112, 26974, 230, 18678, 24370, 5225, 11894, 240, 6238, 47029, 14129, 120, 12105, 28327, 32938, 9078, 235, 12105, 14129, 96, 47615, 23692, 215, 36337, 227, 34446, 20281, 8841, 124, 30808, 45091, 15899, 108, 11871, 226, 4340, 9078, 235, 45091, 43251, 13744, 122, 16787, 114, 48991, 36548, 18148, 13258, 232, 5225, 29852, 121, 161, 96, 241, 4340, 36213, 43873, 65, 22860, 26912, 34, 2522, 33822, 65, 7056, 212, 14129, 118, 31486, 24370, 34811, 17576, 27896, 34138, 216, 32004, 17559, 217, 13499, 225, 164, 223, 214, 10041, 114, 29766, 35489, 25276, 47905, 26151, 112, 26974, 230, 5225, 16677, 15531, 4340, 187, 187, 1835, 5386, 49452, 1882, 5623, 17920, 2490, 187, 1628, 26772, 20622, 9850, 49037, 19780, 119, 42205, 28791, 20326, 5672, 5225, 22975, 16849, 236, 6238, 34138, 216, 18678, 17955, 226, 12462, 232, 5225, 23371, 17559, 217, 39249, 14236, 24412, 22975, 65, 27745, 65, 40969, 20326, 65, 19057, 65, 14106, 20281, 5690, 225, 39465, 23788, 39673, 20025, 5225, 42025, 116, 17559, 217, 39249, 13609, 16998, 121, 42951, 4340, 20622, 16401, 17955, 241, 21734, 33018, 13610, 44157, 24160, 45091, 28607, 125, 5225, 22975, 16849, 236, 34671, 30903, 162, 121, 237, 37062, 5225, 21734, 20287, 4340, 37215, 235, 14129, 99, 20326, 7750, 4340, 14236, 17, 15, 1047, 15957, 219, 18957, 29427, 37215, 235, 14129, 99, 20326, 5672, 14106, 668, 187, 187, 20622, 12105, 27896, 36361, 12335, 13610, 28607, 125, 44157, 24160, 16740, 17321, 212, 36359, 34698, 18764, 5225, 13127, 235, 27707, 4340, 18842, 16740, 6238, 65, 27745, 65, 40969, 13258, 121, 12105, 65, 19057, 65, 5225, 6238, 25276, 16877, 24553, 14274, 41250, 23825, 216, 36644, 46049, 14377, 42205, 28791, 39465, 4340, 38328, 13610, 46716, 16740, 6238, 24553, 47905, 49835, 108, 38908, 13610, 16677, 41683, 33499, 16740, 42205, 28791, 17492, 65, 27745, 27, 8763, 65, 4340, 187, 187, 4118, 209, 15367, 5225, 41251, 23366, 26151, 112, 26974, 230, 7249, 105, 46791, 97, 6238, 15367, 14274, 47905, 41478, 12363, 113, 8841, 124, 30420, 30423, 26795, 187, 187, 20622, 13610, 47754, 35241, 21998, 226, 17559, 219, 43454, 22975, 45091, 36548, 17559, 212, 6238, 11016, 213, 26772, 5225, 29463, 39465, 12105, 44966, 117, 30808, 22580, 113, 17576, 21734, 20287, 5225, 40500, 39915, 108, 4340, 29297, 44314, 29766, 22329, 25276, 34671, 22044, 5225, 6238, 39465, 33018, 34671, 47750, 9850, 40951, 29554, 33369, 115, 13610, 14274, 24412, 15446, 102, 13609, 24370, 18434, 35930, 26151, 112, 26974, 230, 19780, 115, 28305, 6238, 22580, 224, 27727, 43316, 36778, 29297, 33018, 162, 121, 96, 34138, 113, 24553, 5225, 41085, 43741, 4340, 43873, 35489, 18764, 14129, 110, 7111, 226, 5225, 12105, 6238, 43454, 35724, 33018, 26487, 105, 38155, 162, 121, 237, 37062, 4340, 187, 187, 4118, 209, 13610, 34698, 12755, 235, 27896, 13486, 243, 11871, 225, 46049, 14377, 5690, 211, 43244, 47570, 27707, 5225, 19780, 115, 28305, 22975, 6238, 15253, 15446, 102, 20241, 218, 3218, 100, 34698, 17783, 224, 7111, 225, 187, 187, 42055, 24553, 32594, 13610, 29463, 27896, 43454, 6238, 24553, 41250, 19780, 121, 34671, 47750, 27896, 65, 736, 15413, 17196, 65, 13486, 123, 15531, 6238, 39465, 27804, 32004, 16549, 106, 11016, 242, 5225, 47615, 18678, 26974, 227, 9850, 16677, 12105, 7719, 101, 47905, 34698, 12755, 235, 6238, 24370, 13486, 226, 45508, 45091, 24899, 14274, 41250, 18764, 5225, 41869, 21275, 4340, 42055, 24553, 29463, 17492, 14274, 18148, 47570, 5225, 36998, 43799, 17321, 215, 6238, 20622, 19780, 119, 41869, 21275, 29297, 46987, 41085, 46291, 211, 48950, 36359, 44290, 12335, 12105, 7719, 101, 32313, 38563, 4340, 187, 187, 24412, 43929, 5225, 6238, 24553, 33018, 36750, 35321, 65, 11425, 12118, 11241, 65, 13486, 123, 15531, 24370, 34811, 29687, 13610, 5690, 211, 43244, 43929, 5225, 49835, 108, 6765, 218, 41351, 23366, 20720, 6238, 24553, 15446, 223, 5959, 238, 20622, 16401, 41251, 23366, 30808, 22044, 34698, 12755, 235, 4340, 42055, 24553, 37661, 233, 14262, 236, 5225, 12105, 29268, 109, 48153, 119, 5225, 41251, 23366, 14236, 47397, 26270, 40969, 47961, 30423, 44692, 21390, 21458, 3409, 25276, 14262, 113, 17576, 14106, 6238, 24553, 33018, 37208, 12335, 65, 49, 459, 26912, 35394, 249, 65, 24370, 20326, 24553, 28915, 237, 20622, 16401, 41869, 21275, 4340, 49218, 12811, 120, 33656, 214, 9850, 35241, 6238, 14274, 18148, 47570, 5225, 36998, 43799, 17321, 215, 13610, 34671, 11016, 242, 20005, 28305, 48991, 36548, 14377, 12335, 1905, 1128, 209, 26772, 24553, 14274, 30808, 14274, 25949, 27896, 28607, 125, 44157, 24160, 25949, 44795, 28915, 237, 27896, 36087, 111, 29485, 5225, 44075, 21365, 214, 6238, 39465, 20281, 22160, 34698, 12755, 235, 24553, 5225, 10962, 114, 16401, 41251, 23366, 33859, 27727, 16549, 106, 11016, 242, 6238, 38328, 3218, 231, 29440, 42697, 37079, 33859, 45508, 4340, 187, 187, 4118, 209, 44692, 30329, 13610, 42918, 29268, 125, 31949, 13609, 24412, 22975, 28915, 237, 45091, 24899, 22010, 34397, 6238, 13744, 122, 16787, 114, 15253, 29268, 125, 31949, 17598, 220, 15446, 102, 187, 187, 1628, 13744, 122, 34372, 105, 6765, 218, 23823, 97, 17321, 212, 46791, 97, 668, 12105, 11894, 100, 49271, 27107, 235, 5225, 36548, 17559, 212, 24160, 35321, 4340, 13610, 36359, 24446, 34397, 14318, 97, 20720, 6238, 20622, 49288, 49271, 27107, 235, 35724, 43251, 20281, 18678, 35321, 4340, 29463, 65, 6504, 1913, 8224, 65, 12105, 27896, 34439, 5225, 44301, 6238, 43300, 12105, 42055, 13610, 37062, 42930, 13609, 6238, 20326, 17492, 12335, 46136, 29645, 48604, 223, 5225, 35930, 39915, 211, 38328, 32283, 116, 9078, 242, 36359, 24446, 41869, 21275, 42843, 14274, 7249, 105, 20287, 33474, 43368, 6238, 40693, 43244, 24553, 33018, 45466, 46982, 228, 9850, 20720, 29463, 65, 9683, 26311, 65, 4340, 187, 187, 65, 1145, 18280, 65, 5225, 33474, 44002, 9850, 34372, 107, 20281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 50273, 11, 1214, 2887, 5987, 1358, 18982, 15, 2061, 16, 15337, 84, 187, 50273, 8480, 187, 50274, 4387, 1159, 10123, 3914, 15337, 84, 10, 187, 50274, 92, 187, 50270, 2309, 370, 2520, 1168, 1178, 8324, 2073, 15337, 84, 1383, 370, 15337, 84, 558, 187, 50274, 94, 535, 50274, 6930, 187, 50273, 11, 10611, 273, 247, 3806, 7066, 3239, 326, 29472, 26374, 6492, 253, 5382, 434, 187, 50273, 11, 6489, 15, 444, 15, 72, 15, 253, 10611, 273, 253, 5382, 434, 26654, 3239, 13, 45155, 301, 682, 5857, 13, 390, 187, 50273, 11, 3565, 4422, 15, 187, 50273, 11, 187, 50273, 11, 1214, 3575, 2876, 93, 2703, 5456, 370, 18941, 1909, 187, 50273, 11, 187, 50273, 11, 1214, 2309, 4228, 187, 50273, 11, 187, 50273, 11, 1214, 2887, 5987, 1358, 18982, 15, 2061, 16, 18941, 1909, 187, 50273, 8480, 187, 50274, 4387, 1159, 1072, 1909, 3914, 18941, 1909, 10, 187, 50274, 92, 187, 50270, 2309, 370, 2520, 1168, 1178, 8324, 2073, 18941, 1909, 1383, 370, 18941, 1909, 558, 187, 50274, 94, 535, 50274, 6930, 187, 50273, 11, 2102, 31290, 313, 1615, 10611, 390, 2876, 10, 247, 1798, 2715, 273, 247, 20824, 908, 275, 187, 50273, 11, 690, 28283, 10282, 15, 1198, 1650, 13, 247, 3389, 812, 11165, 247, 20824, 8893, 187, 50273, 11, 970, 271, 10611, 824, 347, 5987, 1358, 18982, 15, 2061, 16, 4149, 16, 19, 15, 17, 16, 604, 10799, 187, 50273, 11, 14011, 273, 20824, 2715, 369, 2424, 407, 690, 2898, 15, 187, 50273, 11, 187, 50273, 11, 1214, 3575, 2876, 93, 2703, 5456, 370, 18982, 8893, 187, 50273, 11, 187, 50273, 11, 1214, 2309, 4228, 187, 50273, 11, 187, 50273, 11, 1214, 2887, 5987, 1358, 18982, 15, 2061, 16, 18982, 8893, 187, 50273, 8480, 187, 50274, 4387, 1159, 20824, 8893, 3914, 18982, 8893, 10, 187, 50274, 92, 187, 50270, 2309, 370, 2520, 1168, 1178, 8324, 2073, 18982, 8893, 1383, 370, 18982, 8893, 558, 187, 50274, 94, 535, 50274, 6930, 187, 50273, 11, 2102, 31290, 253, 3522, 327, 534, 253, 1655, 18872, 941, 369, 4561, 1227, 187, 50273, 11, 3863, 15, 22460, 908, 12936, 8605, 8289, 33983, 9502, 187, 50273, 11, 187, 50273, 11, 1214, 3575, 393, 24151, 14418, 3577, 24151, 14418, 5456, 370, 8289, 6958, 32963, 187, 50273, 11, 187, 50273, 11, 1214, 2309, 4228, 187, 50273, 11, 187, 50273, 11, 1214, 2887, 5987, 1358, 18982, 15, 2061, 16, 8289, 6958, 32963, 187, 50273, 11, 1214, 2887, 3944, 1358, 33965, 15, 18982, 15, 2061, 187, 50273, 11, 1214, 4492, 5987, 1358, 7280, 15, 681, 16, 18982, 2061, 16, 18982, 2061, 16, 22402, 16, 1093, 2691, 187, 50273, 8480, 187, 50274, 4387, 1159, 39868, 6958, 32963, 3914, 8289, 6958, 32963, 10, 187, 50274, 92, 187, 50270, 2309, 370, 2520, 1168, 1178, 8324, 2073, 8289, 6958, 32963, 1383, 370, 8289, 6958, 32963, 558, 187, 50274, 94, 535, 50274, 6930, 187, 50273, 11, 329, 7981, 3389, 326, 10384, 281, 436, 18872, 941, 13, 5431, 187, 50273, 11, 4860, 407, 10611, 15, 187, 50273, 11, 187, 50273, 11, 1214, 3575, 393, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 21164, 422, 10282, 35077, 3577, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 21164, 422, 10282, 35077, 5456, 93, 2703, 93, 2703, 5456, 370, 8289, 17736, 187, 50273, 11, 187, 50273, 11, 1214, 2309, 4228, 187, 50273, 11, 187, 50273, 11, 1214, 2887, 5987, 1358, 18982, 15, 2061, 16, 8289, 17736, 187, 50273, 11, 1214, 2887, 3944, 1358, 33965, 15, 18982, 15, 2061, 187, 50273, 11, 1214, 4492, 5987, 1358, 7280, 15, 681, 16, 18982, 2061, 16, 18982, 2061, 16, 22402, 16, 1093, 2691, 187, 50273, 8480, 187, 50274, 4387, 1159, 39868, 17736, 3914, 8289, 17736, 10, 187, 50274, 92, 187, 50270, 2309, 370, 2520, 1168, 1178, 8324, 2073, 8289, 17736, 1383, 370, 8289, 17736, 558, 187, 50274, 94, 535, 50274, 6930, 187, 50273, 11, 2102, 31290, 253, 3128, 5506, 323, 11365, 285, 18051, 253, 1655, 187, 50273, 11, 18872, 941, 44236, 13, 5431, 275, 2219, 835, 253, 18872, 941, 310, 187, 50273, 11, 6012, 8356, 432, 5368, 3863, 2600, 533, 3863, 327, 247, 187, 50273, 11, 1027, 2670, 15, 1198, 1650, 13, 5974, 6493, 285, 1527, 941, 21823, 187, 50273, 11, 2223, 294, 14, 48336, 5368, 2600, 342, 625, 11120, 18872, 187, 50273, 11, 21464, 15, 380, 187, 50273, 11, 8605, 8289, 33983, 9502, 2867, 7729, 1056, 824, 8333, 625, 6843, 15, 187, 50273, 11, 187, 50273, 11, 1214, 3575, 393, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 25727, 1320, 35077, 3577, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 25727, 1320, 35077, 5456, 3577, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 19589, 35077, 3577, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 19589, 35077, 5456, 370, 8289, 33983, 187, 50273, 11, 187, 50273, 11, 1214, 2309, 4228, 187, 50273, 11, 187, 50273, 11, 1214, 2887, 5987, 1358, 18982, 15, 2061, 16, 8289, 33983, 187, 50273, 11, 1214, 2887, 3944, 1358, 33965, 15, 18982, 15, 2061, 187, 50273, 11, 1214, 4492, 5987, 1358, 7280, 15, 681, 16, 18982, 2061, 16, 18982, 2061, 16, 22402, 16, 1093, 2691, 187, 50273, 8480, 187, 50274, 4387, 1159, 39868, 33983, 3914, 8289, 33983, 10, 187, 50274, 92, 187, 50270, 2309, 370, 2520, 1168, 1178, 8324, 2073, 8289, 33983, 1383, 370, 8289, 33983, 558, 187, 50274, 94, 535, 50274, 6930, 187, 50273, 11, 329, 19817, 1979, 273, 247, 1885, 390, 10995, 789, 13, 2223, 8077, 5411, 187, 50273, 11, 38539, 1491, 715, 247, 2969, 45860, 2876, 13, 2057, 949, 14339, 187, 50273, 11, 281, 4907, 9552, 390, 313, 249, 253, 1083, 273, 1885, 44236, 582, 407, 25987, 187, 50273, 11, 6041, 8077, 6787, 15, 7890, 273, 36686, 3902, 342, 247, 3943, 6124, 390, 187, 50273, 11, 3943, 4312, 476, 823, 625, 2605, 28, 275, 643, 2219, 13, 253, 1227, 3429, 13, 1227, 7436, 13, 187, 50273, 11, 1227, 16719, 285, 1227, 6712, 3607, 778, 320, 625, 7763, 15, 187, 50273, 11, 187, 50273, 11, 1214, 3575, 393, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 4612, 967, 18919, 35077, 3577, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 4612, 967, 18919 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 740, 6257, 854, 21397, 313, 6759, 481, 367, 8634, 40, 15, 575, 615, 443, 41564, 13, 5602, 409, 8666, 4299, 26, 6257, 48962, 313, 19813, 481, 187, 187, 49, 8634, 40, 15, 575, 615, 443, 41564, 13, 5602, 409, 8666, 4299, 26, 6257, 46475, 313, 19813, 481, 187, 187, 46, 15, 575, 4045, 74, 13, 329, 15, 575, 2374, 19385, 13, 500, 15, 575, 9083, 15, 575, 2267, 6181, 4299, 19, 6257, 1668, 2405, 9, 13895, 481, 187, 187, 52, 15, 575, 53, 15, 575, 20643, 1216, 13, 4111, 15, 575, 7498, 15, 444, 4299, 2385, 6257, 495, 29327, 313, 13549, 481, 187, 187, 34, 15, 575, 43, 15, 575, 35438, 460, 13, 308, 15, 575, 36, 15, 575, 45, 538, 561, 4742, 13, 4111, 15, 575, 7498, 15, 575, 38, 4299, 3571, 6257, 16703, 1010, 740, 313, 8971, 481, 187, 187, 51, 15, 575, 49157, 968, 785, 13, 329, 15, 575, 58, 15, 575, 40, 2921, 4978, 13, 714, 15, 575, 51, 25967, 13, 329, 15, 575, 59, 301, 729, 32518, 13, 6943, 16946, 15, 575, 43, 15, 575, 13811, 12971, 6257, 1283, 3677, 313, 6759, 481, 187, 187, 41, 15, 575, 36, 15, 575, 8478, 750, 1342, 13, 30835, 15, 575, 4316, 74, 15, 575, 2632, 15, 575, 13811, 34, 18, 6257, 3435, 313, 41858, 481, 187, 187, 37, 15, 575, 12486, 13, 329, 15, 575, 34, 28034, 1792, 13, 24520, 15, 575, 9083, 15, 575, 43, 15, 575, 38, 4299, 21, 6257, 3285, 313, 8971, 481, 187, 187, 41, 15, 575, 12558, 312, 386, 13, 1680, 83, 15, 575, 43, 15, 575, 29845, 15, 575, 13811, 2504, 6257, 19956, 313, 8602, 481, 187, 187, 41, 15, 575, 12558, 312, 386, 13, 500, 15, 575, 9083, 15, 575, 49497, 15, 575, 43, 16077, 15, 575, 13811, 3141, 6257, 16703, 41441, 313, 7857, 481, 187, 187, 5035, 3921, 9547, 22409, 66, 4622, 17737, 285, 19415, 4367, 2530, 327, 14, 1282, 347, 24864, 2144, 15, 187, 187, 55, 15, 575, 49, 293, 1059, 1321, 13, 427, 15, 575, 19393, 13, 367, 15, 575, 14039, 36366, 13, 353, 15, 575, 45, 15, 575, 44, 300, 4786, 300, 13, 4111, 15, 575, 7498, 15, 575, 21457, 15, 575, 13811, 11335, 6257, 25305, 20914, 313, 7857, 481, 187, 187, 39, 15, 575, 36, 15, 575, 13815, 44, 565, 6934, 13, 329, 15, 575, 43, 15, 575, 35438, 460, 13, 4111, 15, 575, 7498, 15, 575, 21457, 15, 575, 13811, 2313, 6257, 470, 1093, 11238, 313, 8012, 481, 187, 187, 34, 15, 575, 30138, 79, 14, 3251, 463, 87, 13, 714, 15, 575, 22052, 469, 1342, 13, 3055, 5511, 15, 187, 187, 41, 15, 575, 12558, 312, 386, 13, 22725, 27, 1047, 3071, 15, 1099, 2904, 187, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	455
[ 0, 247, 354, 5203, 1984, 326, 310, 417, 253, 5110, 273, 253, 4384, 273, 5203, 2144, 326, 588, 2489, 247, 1755, 3239, 273, 247, 5203, 1984, 281, 320, 604, 253, 21134, 310, 3732, 281, 253, 1755, 2553, 273, 253, 4384, 273, 5203, 2144, 390, 247, 5004, 3239, 273, 247, 5203, 1984, 281, 320, 4447, 604, 253, 21134, 310, 3732, 281, 247, 5004, 2553, 273, 253, 4384, 273, 5203, 2144, 15, 8035, 3213, 3797, 703, 8211, 253, 4384, 273, 5203, 2144, 281, 830, 5203, 7223, 15, 8035, 3213, 3797, 14167, 253, 5203, 7223, 2366, 970, 253, 3732, 21134, 15, 187, 187, 7130, 281, 581, 4809, 273, 253, 13911, 13, 247, 1332, 323, 10264, 247, 354, 5203, 1984, 12093, 10571, 9968, 949, 253, 4384, 273, 5203, 2144, 387, 4569, 8593, 281, 4853, 13358, 13301, 2720, 281, 253, 36976, 247, 896, 254, 390, 3835, 3213, 13, 36976, 581, 273, 247, 896, 254, 390, 247, 3835, 281, 247, 4384, 273, 5203, 2144, 1563, 253, 10571, 9968, 949, 3213, 13, 11993, 4778, 1491, 327, 253, 4384, 273, 5203, 2144, 13, 703, 8211, 253, 4384, 273, 5203, 2144, 281, 830, 5203, 7223, 13, 285, 14167, 253, 5203, 7223, 2366, 15, 187, 187, 7130, 281, 581, 4809, 273, 253, 13911, 13, 247, 1332, 323, 10264, 247, 354, 5203, 1984, 12093, 5277, 247, 4384, 273, 5203, 2144, 1690, 247, 4384, 273, 3473, 7996, 5203, 2144, 5326, 1598, 10259, 1242, 14049, 281, 247, 4384, 273, 36654, 2144, 13, 11993, 4228, 1778, 571, 407, 8136, 253, 4384, 273, 5203, 2144, 949, 387, 1878, 581, 3379, 2522, 326, 21916, 12296, 407, 13214, 10646, 4228, 1778, 571, 310, 11462, 327, 253, 3473, 7996, 5203, 2144, 273, 253, 2530, 4384, 273, 5203, 2144, 13, 3150, 9968, 253, 4384, 273, 5203, 2144, 387, 4569, 8593, 281, 387, 1878, 9619, 2624, 949, 253, 4384, 273, 3473, 7996, 5203, 2144, 533, 417, 281, 2624, 949, 253, 4384, 273, 36654, 2144, 281, 830, 387, 1878, 581, 13358, 5203, 327, 1016, 5110, 273, 253, 4384, 273, 5203, 2144, 326, 588, 2489, 247, 5203, 3239, 275, 247, 354, 5203, 1984, 13, 36976, 581, 273, 247, 896, 254, 390, 247, 3835, 281, 247, 4384, 273, 5203, 2144, 1563, 253, 3150, 9968, 3213, 13, 11993, 4778, 1778, 571, 327, 253, 4384, 273, 5203, 2144, 275, 253, 4328, 273, 1016, 13358, 5203, 13, 703, 8211, 253, 4384, 273, 5203, 2144, 281, 830, 5203, 7223, 13, 285, 14167, 253, 5203, 7223, 2366, 15, 187, 187, 14087, 3386, 285, 11361, 273, 253, 3688, 588, 2489, 5165, 281, 1110, 18024, 275, 253, 1445, 2220, 8180, 273, 253, 1563, 7000, 5740, 273, 247, 9013, 14704, 17449, 5411, 253, 1682, 4438, 273, 8785, 562, 253, 3688, 347, 21654, 12351, 15, 187, 187, 35, 4873, 16462, 20955, 33480, 3481, 3003, 399, 47740, 19212, 187, 187, 510, 3386, 285, 11361, 273, 436, 13911, 13, 285, 253, 5133, 273, 863, 1776, 731, 13, 588, 320, 625, 5165, 285, 1805, 7192, 407, 3806, 281, 253, 1563, 20121, 273, 253, 10557, 3082, 285, 2718, 13, 2668, 275, 17385, 342, 253, 17909, 21780, 13, 10646, 27, 187, 187, 8209, 15, 337, 313, 681, 20733, 36317, 15, 337, 34, 13, 337, 35, 285, 337, 36, 10, 310, 247, 1930, 19099, 1859, 273, 581, 6661, 273, 247, 985, 323, 9046, 247, 11234, 273, 354, 5203, 5098, 28, 187, 187, 8209, 15, 374, 310, 247, 21010, 2098, 1859, 273, 247, 4384, 273, 5203, 2144, 326, 556, 574, 4778, 1778, 571, 11462, 327, 253, 2454, 2144, 285, 11821, 273, 253, 5203, 7996, 2144, 2624, 1977, 285, 5176, 432, 253, 36654, 2144, 13, 247, 896, 254, 7660, 281, 253, 896, 273, 253, 36654, 6944, 253, 5004, 13301, 275, 354, 5203, 5098, 281, 320, 4447, 285, 21134, 4845, 2112, 253, 9297, 273, 253, 4384, 2144, 327, 253, 2454, 273, 1016, 5203, 281, 320, 4447, 326, 310, 417, 281, 320, 247, 1755, 5203, 275, 247, 354, 5203, 1984, 285, 4645, 247, 6661, 273, 253, 4384, 10646, 253, 4384, 778, 320, 2624, 1048, 7128, 3341, 275, 253, 4055, 594, 326, 767, 5203, 5098, 778, 320, 4447, 432, 1016, 14604, 2978, 273, 4384, 2144, 28, 187, 187, 8209, 15, 495, 310, 247, 1930, 19099, 1859, 2668, 2112, 1386, 495, 14, 20, 273, 253, 5110, 273, 253, 4384, 2011, 275, 7705, 15, 374, 1690, 253, 896, 254, 2144, 28, 187, 187, 8209, 15, 577, 310, 247, 24684, 14, 484, 1859, 273, 253, 5110, 273, 253, 4384, 273, 5203, 2144, 26895, 275, 253, 9096, 577, 275, 7705, 15, 495, 28, 187, 187, 8209, 15, 608, 310, 247, 21010, 2098, 1859, 273, 247, 4384, 273, 5203, 2144, 326, 556, 574, 4778, 1778, 571, 11462, 327, 253, 2454, 2144, 285, 11821, 273, 253, 2454, 2144, 2624, 1977, 285, 5176, 432, 253, 36654, 2144, 13, 247, 896, 254, 7660, 281, 253, 896, 273, 253, 36654, 6944, 253, 5004, 5203, 275, 253, 354, 5203, 1984, 281, 320, 4447, 13, 247, 3835, 7660, 281, 253, 2914, 2454, 273, 253, 2454, 273, 253, 5203, 2144, 689, 2943, 253, 1755, 5203, 275, 253, 354, 5203, 1984, 281, 320, 4447, 285, 21134, 4845, 2112, 253, 5024, 273, 253, 4384, 2144, 327, 253, 2454, 273, 1016, 5203, 281, 320, 4447, 533, 417, 327, 253, 3835, 273, 253, 354, 5203, 1984, 28, 187, 187, 8209, 15, 721, 310, 247, 21010, 2098, 1859, 273, 247, 4384, 273, 5203, 2144, 326, 556, 574, 4778, 1778, 571, 11462, 327, 253, 2454, 2144, 285, 11821, 273, 253, 5203, 7996, 2144, 2624, 1977, 285, 5176, 432, 253, 36654, 2144, 13, 247, 3835, 7660, 281, 253, 2914, 2454, 273, 253, 36654, 689, 2943, 253, 1755, 5203, 275, 253, 354, 5203, 1984, 281, 320, 4447, 285, 21134, 4845, 2112, 253, 5024, 273, 253, 4384, 2144, 327, 253, 2454, 273, 1016, 5203, 281, 320, 4447, 533, 417, 327, 253, 3835, 273, 253, 354, 5203, 1984, 28, 187, 187, 8209, 15, 818, 310, 271, 31032, 1859, 273, 247, 21010, 2620, 3239, 5203, 1984, 1907, 247, 896, 254, 28, 187, 187, 8209, 15, 854, 310, 271, 31032, 1859, 273, 247, 21010, 2620, 3239, 5203, 1984, 1907, 247, 2914, 3835, 285, 247, 896, 254, 285, 1690, 46870, 281, 1361, 7895, 253, 5203, 1984, 2366, 28, 187, 187, 8209, 15, 898, 310, 271, 31032, 1859, 273, 247, 21010, 2620, 3239 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 434, 4869, 7942, 15917, 1268, 15, 50276, 510, 1304, 369, 11205, 387, 2677, 5411, 253, 1268, 273, 23003, 2424, 323, 444, 1934, 281, 2525, 253, 2852, 15917, 6095, 273, 697, 10119, 20820, 285, 387, 8925, 1880, 444, 1934, 434, 15917, 6654, 5780, 846, 370, 23, 15, 23, 3041, 310, 9495, 281, 253, 9526, 310, 10599, 281, 2525, 444, 1934, 434, 2852, 17973, 15, 50276, 510, 1304, 434, 11815, 7960, 17343, 19483, 48, 434, 6803, 13, 15494, 2220, 407, 5759, 275, 18899, 271, 6757, 434, 4869, 7942, 15917, 6654, 13, 273, 752, 15917, 1268, 310, 10599, 323, 253, 4821, 15415, 273, 253, 7264, 90, 6757, 15, 740, 50275, 1231, 5194, 342, 253, 3286, 1302, 326, 5759, 858, 417, 18607, 281, 2430, 253, 9526, 281, 8460, 4187, 323, 1016, 2060, 7264, 90, 6757, 247, 4869, 7942, 15917, 1268, 15, 50276, 39333, 6034, 253, 20066, 8332, 275, 1384, 530, 15, 52, 15, 36, 15, 5466, 15, 15750, 9, 70, 2769, 20, 2769, 34, 2769, 2886, 10, 281, 4647, 760, 604, 5989, 20944, 846, 253, 19483, 48, 1783, 326, 13697, 19483, 48, 434, 10426, 18766, 15, 50276, 1231, 3103, 2186, 326, 253, 9526, 434, 13336, 273, 247, 20066, 762, 5466, 15, 884, 3547, 9, 70, 2769, 20, 2769, 34, 2769, 2886, 10, 369, 417, 10341, 390, 48775, 15, 187, 187, 35, 15, 187, 187, 1166, 187, 39333, 671, 6828, 253, 9526, 281, 1908, 253, 7264, 90, 6757, 434, 5368, 30727, 17973, 285, 281, 4098, 247, 20066, 604, 13, 275, 27090, 15917, 8064, 13, 247, 7264, 90, 6757, 651, 320, 25042, 281, 20835, 247, 30727, 14904, 326, 4419, 253, 6757, 281, 6558, 247, 7616, 1268, 273, 15917, 8064, 15, 50276, 938, 530, 15, 52, 15, 36, 15, 5466, 15, 884, 3547, 9, 70, 2769, 20, 2769, 34, 2769, 12211, 481, 50276, 688, 1329, 273, 697, 2748, 323, 247, 20066, 762, 436, 8332, 13, 444, 1934, 9262, 281, 253, 9526, 247, 3491, 273, 1740, 43646, 90, 20460, 3419, 36559, 313, 6217, 1909, 10, 275, 3490, 875, 444, 1934, 285, 21777, 7988, 15, 883, 50275, 510, 9526, 1119, 326, 253, 3700, 8284, 651, 417, 30705, 444, 1934, 281, 20835, 667, 273, 697, 17973, 762, 253, 9942, 1909, 15, 50276, 38, 1934, 8219, 326, 253, 9526, 434, 7914, 273, 253, 3448, 6221, 275, 1016, 443, 5214, 5001, 247, 5927, 15917, 3187, 6654, 310, 13583, 285, 326, 253, 3700, 8284, 651, 30705, 444, 1934, 281, 20835, 326, 3448, 15, 50276, 1231, 14936, 15, 535, 187, 1093, 187, 510, 9526, 434, 7914, 273, 444, 1934, 434, 30727, 17973, 310, 18212, 4516, 407, 253, 3448, 6221, 275, 7118, 608, 9, 74, 10, 285, 313, 2886, 10, 273, 1016, 443, 5214, 13, 285, 3103, 253, 9526, 434, 13336, 273, 444, 1934, 434, 2748, 323, 247, 20066, 762, 5466, 15, 884, 3547, 9, 70, 2769, 20, 2769, 34, 2769, 12211, 10, 369, 417, 10341, 390, 48775, 15, 50276, 510, 9526, 4879, 326, 443, 5214, 5466, 15, 608, 9, 74, 10, 4419, 444, 1934, 281, 6558, 275, 697, 15917, 3187, 387, 1878, 374, 6, 273, 253, 35778, 8624, 2408, 273, 512, 5974, 15407, 352, 1210, 980, 390, 824, 16277, 2408, 347, 5821, 281, 407, 253, 26234, 459, 23052, 15, 805, 50275, 38, 1934, 8219, 326, 253, 44025, 1962, 13625, 1304, 2297, 684, 667, 6387, 326, 253, 23052, 651, 5194, 281, 247, 15917, 3187, 2708, 374, 6, 273, 253, 35778, 8624, 273, 512, 15407, 19420, 15, 50276, 510, 9526, 27019, 326, 1880, 253, 26234, 459, 23052, 651, 452, 15494, 327, 253, 44025, 1962, 13625, 20553, 310, 15846, 35377, 13, 285, 13, 3103, 13, 253, 44025, 1962, 13625, 1304, 2550, 5752, 347, 247, 3720, 323, 4560, 326, 253, 3700, 8284, 651, 30705, 444, 1934, 281, 20835, 697, 17973, 762, 253, 9942, 1909, 15, 50276, 1231, 5194, 342, 253, 9526, 15, 535, 187, 746, 187, 510, 9526, 434, 4560, 326, 444, 1934, 651, 417, 320, 25042, 281, 20835, 17973, 21681, 281, 21777, 7988, 310, 2007, 4516, 407, 443, 5214, 5466, 15, 608, 9, 2886, 481, 50276, 1552, 2593, 3400, 326, 444, 1934, 778, 760, 897, 253, 15917, 3187, 323, 253, 4096, 273, 34873, 697, 7264, 90, 17973, 13, 1690, 253, 29216, 420, 273, 667, 4400, 16424, 2424, 407, 253, 9526, 15, 50276, 1147, 2007, 3400, 326, 604, 824, 897, 11355, 253, 15917, 3187, 2708, 253, 767, 2558, 5927, 13, 444, 1934, 3091, 1379, 512, 5018, 3309, 281, 15042, 253, 3187, 347, 9086, 347, 2283, 35232, 15, 1012, 50275, 38, 1934, 12148, 326, 14127, 253, 3700, 8284, 310, 417, 247, 11460, 897, 273, 697, 15917, 3187, 762, 443, 5214, 5466, 15, 608, 9, 2886, 10, 984, 352, 16988, 6747, 253, 29216, 420, 273, 4400, 16424, 4543, 253, 43568, 273, 444, 1934, 434, 17973, 346, 20026, 697, 12215, 390, 6503, 273, 5974, 15407, 449, 50274, 1231, 513, 417, 2868, 253, 3448, 275, 443, 5214, 5466, 15, 608, 9, 2886, 10, 310, 594, 3710, 15, 50276, 1231, 5194, 342, 253, 3286, 1302, 326, 253, 11460, 4648, 762, 443, 5214, 5466, 15, 608, 9, 2886, 10, 18387, 512, 17973, 762, 253, 3162, 13, 1690, 253, 3700, 8284, 275, 1384, 530, 15, 52, 15, 36, 15, 5466, 15, 884, 3547, 9, 70, 2769, 19, 481, 50276, 510, 9526, 434, 7914, 273, 443, 5214, 5466, 15, 608, 9, 2886, 10, 347, 6941, 444, 1934, 281, 12539, 2708, 253, 374, 6, 5927, 275, 1340, 281, 10517, 253, 3700, 8284, 13, 347, 1048, 347, 352, 3936, 512, 2283, 35232, 5018, 281, 43692, 763, 253, 3187, 13, 310, 8870, 285, 417, 10341, 390, 48775, 15, 187, 187, 8296, 15, 187, 187, 938, 187, 1231, 1614, 1024, 281, 253, 10281, 2523, 3559, 27, 50276, 20094, 253, 12034, 26340, 281, 253, 23230, 10286, 3162, 1055, 247, 3192, 273, 2867, 1293, 816, 10963, 390, 247, 26367, 273, 2867, 1293, 1955, 1232, 273, 1569, 1561, 253, 4495, 273, 253, 10720, 15129, 15, 1047, 50275, 2214, 253, 4606, 5469, 2708, 359, 1089, 326, 597, 513, 417, 15, 1010, 187, 187, 34, 15, 187, 187, 1797, 187, 38, 1934, 7881, 767, 24715, 5231, 27, 50276, 9, 18, 10, 253, 10056, 273, 253, 12034, 26340, 281, 253, 3162, 534, 2430, 444, 1934, 281, 3700, 370, 23, 15, 23, 3041, 432, 697, 15917, 3187, 281, 253, 9526 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 41, 30292, 14, 10810, 9675, 15157, 4339, 10197, 9981, 23012, 9780, 947, 353, 25517, 6651, 399, 3271, 15012, 32527, 2697, 16, 37, 6901, 27, 57, 187, 187, 510, 329, 2270, 4898, 14925, 6333, 310, 634, 3662, 323, 13406, 13, 24956, 422, 13, 2316, 14, 26317, 3590, 594, 368, 476, 2793, 1046, 2508, 273, 6313, 1728, 18876, 15, 380, 329, 2270, 8525, 32404, 1615, 2058, 19530, 1227, 399, 6901, 27, 57, 285, 4354, 23417, 285, 17954, 1561, 253, 1755, 273, 634, 3366, 249, 1483, 10784, 17641, 2270, 1549, 13, 17641, 2270, 1449, 285, 17641, 2270, 938, 17999, 13, 14954, 3590, 32372, 13, 534, 310, 840, 11392, 745, 253, 16720, 285, 896, 1066, 281, 634, 14657, 2170, 15, 8969, 6134, 13, 8723, 382, 2216, 15, 831, 310, 752, 37238, 7835, 751, 15, 187, 187, 28614, 5626, 187, 187, 12481, 27695, 707, 187, 187, 19, 187, 187, 56, 11486, 58, 187, 187, 21749, 1406, 982, 411, 35083, 90, 187, 187, 20, 1107, 187, 187, 36, 357, 7795, 411, 35083, 90, 187, 187, 22, 1107, 187, 187, 37, 31785, 411, 35083, 90, 187, 187, 22, 1107, 187, 187, 25494, 367, 3201, 12290, 7214, 187, 187, 4374, 187, 187, 1922, 9981, 23012, 9780, 947, 353, 25517, 6651, 399, 3271, 15012, 32527, 2697, 16, 37, 6901, 27, 57, 187, 187, 12481, 27695, 707, 187, 187, 31826, 187, 187, 48747, 187, 187, 3016, 187, 187, 13881, 187, 187, 20, 15, 1976, 3, 313, 26, 15, 3357, 7892, 10, 187, 187, 12175, 187, 187, 23, 3, 313, 1010, 15, 1348, 7892, 10, 187, 187, 34733, 187, 187, 1012, 3, 313, 1610, 15, 2640, 7892, 10, 187, 187, 25935, 187, 187, 23, 38818, 313, 19, 15, 3547, 15841, 10, 187, 187, 22025, 187, 187, 2422, 6059, 360, 187, 187, 11387, 11782, 32911, 1176, 3018, 187, 187, 9, 18, 10, 337, 3, 313, 19, 15, 3439, 7892, 10, 277, 313, 15654, 10, 1219, 6059, 360, 399, 485, 428, 308, 664, 1715, 187, 187, 9, 18, 10, 577, 15, 22, 3, 313, 883, 15, 3079, 7892, 10, 277, 313, 15654, 10, 428, 11864, 6324, 187, 187, 40091, 6527, 26999, 1556, 7400, 187, 187, 12481, 38544, 19371, 187, 187, 2691, 14878, 19167, 3387, 40516, 187, 187, 9684, 50132, 313, 18, 259, 1595, 1214, 337, 21623, 10, 187, 187, 2511, 15, 22, 29527, 187, 187, 37, 311, 1615, 2058, 19530, 19937, 1245, 708, 399, 6901, 27, 57, 3631, 20497, 187, 187, 3251, 312, 13102, 49661, 1561, 253, 1755, 273, 253, 17641, 2270, 1549, 13, 17641, 2270, 1449, 285, 17641, 2270, 938, 17999, 594, 368, 476, 17347, 275, 3687, 3590, 4898, 15, 187, 187, 2422, 6059, 360, 399, 485, 308, 664, 2521, 187, 187, 36, 18568, 2590, 1029, 84, 3324, 253, 954, 17905, 9797, 281, 1495, 15, 3824, 13660, 2521, 1132, 2169, 275, 4294, 685, 752, 310, 3735, 407, 253, 1966, 2472, 13, 6153, 271, 10501, 21068, 273, 3590, 347, 253, 9558, 31901, 275, 253, 11803, 390, 12699, 7423, 15, 187, 187, 10612, 11802, 26587, 378, 2843, 282, 342, 1889, 7426, 36414, 312, 24969, 187, 187, 39, 2731, 3590, 32372, 13, 18964, 352, 745, 253, 16720, 285, 896, 1066, 281, 634, 14657, 2170, 275, 247, 18996, 6537, 15641, 3102, 13, 31731, 253, 3590, 326, 4558, 15, 187, 187, 9692, 26202, 1037, 4480, 5598, 1997, 4002, 187, 187, 45772, 253, 16105, 13990, 593, 273, 253, 14925, 2216, 1293, 1907, 281, 5386, 247, 14925, 650, 4002, 281, 4264, 3626, 13, 440, 30842, 3590, 15, 187, 187, 49471, 595, 496, 797, 13, 2213, 47872, 14, 14344, 32098, 187, 187, 20431, 1020, 8723, 382, 24624, 342, 12320, 14, 78, 607, 967, 4295, 10513, 247, 18144, 1007, 281, 13503, 253, 954, 15622, 1728, 18876, 15, 380, 9479, 3104, 273, 253, 17641, 26, 933, 12234, 671, 7392, 697, 10799, 3347, 280, 11118, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	625
[ 0, 984, 352, 32743, 16728, 5445, 281, 32996, 15, 475, 3788, 31794, 11, 7218, 4219, 4073, 14, 4919, 34254, 2225, 1336, 824, 347, 34818, 285, 295, 410, 23344, 35594, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 15798, 1656, 475, 3788, 9324, 11, 23123, 253, 4073, 14, 4919, 34254, 34242, 13, 26144, 13, 533, 310, 34885, 1246, 275, 253, 41809, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 39126, 1656, 475, 36, 4639, 18, 11, 285, 475, 37, 18352, 44, 18, 34, 11, 403, 3206, 275, 894, 9025, 285, 9489, 15, 475, 37, 18352, 44, 18, 34, 11, 556, 644, 7939, 281, 253, 3541, 285, 4715, 23835, 2330, 342, 9792, 9237, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 36709, 2947, 2041, 15, 12582, 23, 20954, 15, 709, 41040, 1656, 380, 5780, 1740, 3608, 2796, 3717, 30925, 22, 2992, 475, 46, 4625, 49, 19, 2992, 475, 9431, 1372, 18, 2992, 285, 475, 59, 8016, 27133, 5627, 403, 9464, 21790, 15, 475, 3717, 30925, 22, 11, 285, 475, 46, 4625, 49, 19, 11, 452, 644, 2330, 342, 416, 3592, 434, 50045, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 24581, 7254, 2041, 15, 12582, 23, 20954, 15, 709, 45159, 1656, 475, 59, 8016, 27133, 11, 556, 644, 19588, 275, 24532, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 43008, 1656, 187, 187, 688, 4499, 281, 253, 1781, 3486, 273, 6053, 25576, 27504, 10890, 13, 43829, 10890, 3815, 760, 42876, 27857, 2048, 273, 475, 46, 4625, 49, 19, 2992, 475, 59, 8016, 27133, 11, 285, 475, 41, 3871, 883, 35, 19, 2992, 512, 275, 253, 3884, 273, 2559, 2048, 13, 534, 310, 7285, 281, 253, 3486, 273, 6053, 25576, 27504, 10890, 15, 28776, 13, 253, 475, 484, 11973, 11, 273, 475, 41, 3871, 883, 35, 19, 11, 310, 7285, 281, 253, 1543, 273, 2720, 2175, 326, 2692, 10890, 1066, 1747, 8287, 475, 41, 3871, 883, 35, 19, 299, 11, 89, 10862, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 20570, 2947, 2041, 15, 12582, 23, 20954, 15, 709, 21348, 2947, 2041, 15, 12582, 23, 20954, 15, 709, 46969, 1656, 733, 778, 320, 326, 776, 5426, 273, 6053, 25576, 27504, 10890, 369, 1512, 2087, 13, 275, 4499, 281, 13, 323, 1650, 13, 247, 1077, 13358, 2362, 751, 271, 717, 8311, 40420, 6090, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 41532, 1656, 329, 3626, 15394, 13, 3340, 1690, 271, 6508, 31433, 13, 1537, 320, 1805, 320, 2931, 347, 271, 12680, 43829, 4073, 263, 15, 1723, 13, 436, 8813, 1057, 417, 2395, 323, 2139, 253, 3626, 15394, 651, 3486, 3320, 2048, 275, 253, 7285, 3884, 281, 43829, 10890, 347, 359, 2931, 352, 275, 436, 1263, 15, 11243, 13, 253, 1682, 6452, 310, 281, 320, 1669, 12371, 387, 253, 2570, 285, 7870, 4088, 275, 534, 4073, 275, 512, 697, 4948, 4620, 281, 3486, 253, 41809, 2581, 685, 10263, 2969, 13, 440, 301, 30869, 285, 5141, 2531, 11815, 15, 187, 187, 9340, 432, 776, 5016, 1783, 1804, 247, 7792, 273, 7870, 10454, 15, 1198, 2620, 273, 253, 4314, 3608, 34122, 407, 6053, 25576, 27504, 10890, 3815, 2796, 36, 4639, 18, 2992, 475, 37, 18352, 44, 18, 34, 2992, 475, 41, 3871, 883, 35, 19, 2992, 475, 3788, 31794, 2992, 285, 475, 9431, 1372, 18, 17931, 10290, 43829, 10890, 5420, 281, 3635, 1419, 253, 1055, 273, 6053, 25576, 27504, 10890, 824, 326, 760, 253, 11578, 390, 4855, 43829, 10890, 2390, 2692, 1534, 23082, 275, 3320, 2048, 2330, 342, 27784, 10890, 15, 475, 3717, 30925, 22, 11, 285, 475, 46, 4625, 49, 19, 11, 2692, 247, 2074, 906, 2167, 760, 253, 4855, 390, 253, 11578, 43829, 10890, 1387, 13, 2975, 13, 2692, 3012, 1027, 5998, 16888, 2097, 275, 3320, 2048, 15, 475, 8768, 37494, 18, 2992, 475, 10189, 20, 36, 18, 11, 285, 475, 10189, 20, 36, 19, 11, 2692, 247, 12955, 273, 253, 3102, 275, 534, 253, 4559, 5034, 43829, 10890, 1387, 2692, 247, 1534, 390, 42876, 1534, 2572, 275, 3320, 2048, 15, 29637, 49, 18, 310, 247, 9464, 1234, 32232, 3206, 275, 3998, 1159, 285, 6551, 27055, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 44675, 1656, 1219, 3606, 2308, 273, 475, 8768, 37494, 18, 11, 2048, 452, 644, 7939, 281, 10969, 6551, 27055, 285, 27734, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 45197, 7254, 2041, 15, 12582, 23, 20954, 15, 709, 38823, 1656, 475, 10189, 20, 36, 18, 11, 285, 475, 10189, 20, 36, 19, 11, 4711, 253, 44154, 1238, 285, 17160, 35612, 1238, 10185, 13, 534, 8980, 281, 32996, 13, 285, 778, 2572, 7340, 281, 44154, 9448, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 12058, 1184, 285, 14368, 2048, 273, 475, 41, 3871, 883, 35, 19, 11, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 21940, 1656, 1583, 403, 690, 273, 253, 954, 7561, 5421, 3608, 285, 3839, 452, 644, 1119, 281, 6379, 275, 2048, 275, 2380, 281, 38977, 4073, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 39703, 1656, 187, 187, 10971, 13, 475, 1311, 41, 7282, 2992, 534, 23123, 253, 4073, 2380, 407, 4865, 281, 26505, 41916, 249, 14, 11235, 2355, 14689, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 44238, 7254, 2041, 15, 12582, 23, 20954, 15, 709, 41280, 5413, 369, 253, 581, 3320, 326, 4197, 247, 34249, 533, 2905, 3102, 281, 253, 2571, 15, 733, 369, 475, 3487, 10088, 11, 275, 2380, 281, 43829, 10890, 533, 5420, 281, 956, 247, 15340, 40511, 13, 28483, 14, 54, 16745, 3102, 13, 4795, 275, 253, 10290, 43829, 10890, 1387, 1907, 253, 4585, 3388, 3320, 2048, 2308, 15, 1723, 13, 6747, 2022, 1055, 273, 6053, 25576, 27504, 10890, 4543, 253, 5016, 342, 43829, 10890, 12059, 697, 2048, 15, 187, 187, 510, 5016, 6260, 1804, 326, 10290, 13, 43829, 10890, 778, 6885, 344, 41809, 432, 6053, 25576, 27504, 10890, 28, 5727, 13, 1698, 43829, 10890, 1669, 253, 41809, 440, 35711, 13, 285, 1029, 43829, 10890, 778, 452, 29991, 253, 41809, 434, 13761, 323, 4073, 15, 380, 6387, 326, 10290, 43829, 10890, 1537, 6391, 253, 41809, 432, 6053, 25576, 27504, 10890, 369, 17683, 407, 2710, 11813, 42221, 762, 253, 9753, 267, 42321, 968, 273, 4775, 285, 18742, 9079, 313, 37, 8575, 66, 37, 10, 1254, 2041, 15, 12582 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 24288, 13, 399, 904, 1162, 355, 15, 5826, 13, 1157, 721, 1630, 13, 32479, 473, 684, 13, 322, 15, 416, 904, 2325, 472, 3062, 13, 329, 15, 367, 904, 23253, 13, 322, 15, 308, 904, 1162, 355, 15, 4332, 13, 443, 14546, 5819, 904, 17115, 1010, 10703, 13, 611, 15, 418, 904, 17486, 2955, 2577, 13, 322, 15, 399, 904, 2325, 472, 3062, 13, 329, 15, 367, 904, 1162, 355, 15, 4332, 13, 443, 14546, 5819, 904, 7346, 2055, 27523, 13, 322, 15, 500, 904, 708, 3050, 1272, 1173, 13, 353, 15, 657, 15, 4332, 13, 22725, 27, 9199, 23, 15, 2385, 2787, 27523, 13, 322, 15, 500, 904, 367, 837, 522, 22194, 2960, 13, 322, 904, 708, 3050, 1272, 1173, 13, 353, 15, 657, 15, 4267, 13, 1157, 48396, 13, 818, 1540, 19571, 67, 40176, 13, 443, 904, 708, 10315, 1342, 13, 329, 15, 367, 904, 13842, 13, 7754, 18168, 12639, 265, 275, 36737, 982, 313, 4257, 2816, 27, 19516, 600, 5383, 21559, 10, 13675, 76, 3770, 6356, 249, 13, 329, 15, 329, 904, 18544, 2205, 13, 322, 15, 330, 904, 43789, 2146, 13, 322, 15, 401, 904, 13648, 251, 13, 500, 15, 329, 904, 708, 3044, 31174, 13, 500, 15, 330, 15, 6157, 13, 1157, 47882, 13, 32193, 3697, 663, 413, 9141, 13, 416, 15, 11161, 66, 13, 1157, 34128, 13, 30188, 3697, 663, 413, 9141, 13, 416, 15, 11161, 67, 13, 1157, 34128, 13, 27318, 1500, 13, 1503, 8634, 52, 904, 708, 2070, 306, 1452, 13, 444, 15, 9354, 13, 4111, 15, 3555, 15, 12464, 904, 8187, 13, 34128, 322, 2002, 74, 13, 418, 904, 708, 2101, 262, 17131, 13456, 13, 329, 15, 4748, 13, 1157, 48071, 13, 418, 4529, 659, 1403, 274, 91, 13, 418, 904, 708, 8939, 2921, 757, 13, 657, 15, 4695, 13, 1157, 721, 3593, 13, 1722, 1099, 16219, 13, 367, 15, 388, 15, 308, 904, 708, 13591, 13, 329, 15, 611, 15, 388, 15, 4332, 13, 443, 14546, 5819, 904, 7346, 4148, 308, 3691, 13, 611, 904, 23847, 13, 1594, 8634, 39, 904, 708, 353, 5069, 91, 1757, 2921, 13, 367, 15, 4748, 13, 1157, 48071, 13, 11858, 21, 17868, 13, 1594, 15, 714, 904, 399, 2284, 13, 1503, 15, 443, 904, 708, 7511, 13, 308, 15, 6585, 13, 1157, 43229, 13, 418, 1610, 17868, 13, 1594, 15, 714, 904, 8182, 13, 1503, 904, 708, 353, 5069, 91, 1757, 2921, 13, 367, 15, 5403, 13, 1157, 721, 3156, 13, 11289, 22114, 13, 378, 904, 708, 353, 5069, 91, 1757, 2921, 13, 367, 15, 6585, 13, 1157, 47534, 13, 9199, 1503, 276, 13, 714, 15, 330, 904, 29531, 13, 714, 15, 1503, 904, 708, 25017, 266, 13, 308, 15, 4748, 13, 1157, 38024, 13, 12035, 20, 187, 187, 3138, 26559, 273, 253, 773, 13670, 14, 249, 14, 13670, 3, 10076, 15, 380, 33217, 1232, 6634, 846, 6966, 18634, 15, 380, 10713, 29602, 2803, 273, 253, 9942, 35, 11720, 310, 669, 4220, 64, 75, 1352, 380, 2494, 49728, 342, 697, 1054, 1944, 292, 556, 253, 29602, 2803, 669, 4220, 64, 70, 1366, 285, 669, 4220, 64, 70, 61, 3549, 393, 4220, 64, 85, 1366, 835, 669, 4220, 64, 85, 5, 310, 253, 29602, 2803, 273, 32125, 15, 905, 926, 18, 45662, 1222, 1944, 292, 15, 793, 10, 187, 187, 3138, 43, 4069, 285, 500, 4061, 7742, 273, 9942, 35, 2233, 48694, 34, 15, 380, 21899, 941, 432, 1214, 357, 3088, 883, 403, 17007, 407, 4891, 19325, 313, 57, 4708, 941, 582, 4891, 30102, 313, 35, 1194, 941, 582, 285, 4891, 14240, 313, 45, 1194, 941, 481, 380, 906, 273, 480, 4069, 7742, 342, 253, 9879, 14679, 470, 15, 1348, 310, 17007, 407, 247, 20134, 14, 46774, 1386, 15, 380, 500, 4061, 1543, 5118, 970, 247, 6804, 8609, 14, 4160, 35684, 6488, 2341, 3268, 313, 28821, 407, 40242, 313, 20, 10, 708, 313, 21, 1228, 403, 2011, 27, 247, 4891, 1386, 12853, 253, 500, 4061, 906, 275, 253, 1083, 273, 669, 2733, 1126, 1109, 92, 4090, 15243, 740, 63, 23, 5, 285, 247, 24817, 1386, 12853, 253, 500, 4061, 906, 275, 253, 1083, 273, 669, 2733, 1126, 1109, 92, 4090, 15243, 22, 61, 3181, 884, 63, 22, 1352, 1198, 5301, 13, 253, 500, 4061, 906, 5118, 970, 247, 1612, 14, 6937, 6488, 2341, 3268, 11443, 2733, 1126, 1109, 92, 1222, 29270, 2733, 1126, 1109, 92, 79, 394, 15243, 740, 63, 20, 13, 187, 61, 2733, 1126, 1109, 92, 4090, 15243, 740, 63, 23, 7884, 310, 17007, 407, 247, 17889, 1386, 15, 905, 926, 19, 45662, 2203, 15, 793, 10, 187, 187, 5180, 18, 5218, 380, 19645, 7313, 273, 3921, 44756, 4622, 285, 3921, 7510, 23611, 4622, 16, 45, 1194, 497, 2684, 327, 9942, 35, 9199, 32149, 34, 1008, 6377, 883, 28, 1214, 737, 22651, 883, 28, 1214, 85, 312, 883, 62, 285, 9942, 35, 9199, 24, 2405, 34, 1008, 80, 684, 883, 28, 1214, 3381, 32719, 883, 28, 1214, 737, 22651, 883, 1570, 844, 3524, 326, 2852, 3863, 941, 476, 2085, 625, 10806, 327, 776, 1566, 15, 187, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	835
[ 0, 11387, 4212, 187, 187, 52, 4595, 598, 3319, 4580, 253, 5500, 15, 5706, 1075, 2, 359, 971, 281, 8276, 368, 326, 20512, 6843, 1491, 1537, 320, 1119, 327, 436, 4422, 13, 352, 671, 3797, 4859, 281, 16921, 4375, 15, 35404, 253, 21220, 298, 478, 5781, 4691, 1479, 665, 588, 320, 2326, 1937, 15, 1176, 512, 3570, 10827, 15, 411, 5163, 417, 13, 1060, 403, 690, 5768, 3740, 27170, 5697, 13, 5768, 8142, 13, 5768, 32724, 13, 7203, 46881, 281, 1056, 368, 1007, 27973, 285, 25594, 15, 9985, 253, 1682, 23394, 893, 74, 3676, 38088, 255, 10556, 987, 1060, 285, 9413, 2139, 15, 187, 187, 8983, 15034, 187, 187, 2993, 29566, 4882, 436, 7321, 2500, 2131, 2165, 15, 378, 41265, 20453, 30409, 6385, 4019, 4916, 253, 5500, 301, 323, 15, 14815, 2389, 281, 298, 781, 617, 846, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	139
[ 0, 19214, 8170, 187, 187, 19214, 4255, 187, 187, 4125, 22955, 272, 1623, 27, 187, 187, 9684, 4714, 3264, 281, 8171, 14188, 272, 17761, 327, 22970, 187, 187, 9684, 4714, 3264, 281, 8171, 14188, 272, 17761, 327, 22970, 187, 187, 17835, 187, 187, 17148, 187, 187, 6300, 249, 28200, 12474, 521, 2323, 281, 849, 344, 369, 5439, 15, 187, 187, 3463, 187, 16, 187, 93, 187, 187, 23704, 1267, 1139, 1969, 380, 15123, 2921, 4500, 264, 2626, 1666, 11155, 12429, 14188, 272, 17761, 281, 36216, 14, 34, 17360, 3228, 1563, 6926, 434, 2165, 13, 285, 7205, 13105, 28750, 753, 562, 33299, 20839, 28200, 651, 320, 10564, 281, 1379, 521, 22970, 6308, 327, 6794, 604, 521, 31279, 6884, 294, 8621, 42851, 347, 9355, 15, 187, 187, 9684, 4714, 13, 327, 253, 13603, 1618, 1580, 3978, 3436, 342, 13155, 8248, 275, 521, 1669, 23469, 13, 310, 327, 247, 47467, 387, 17360, 3228, 13, 1469, 470, 14, 1542, 14, 21, 1223, 4983, 275, 4055, 1673, 327, 6926, 275, 1457, 20159, 15, 754, 434, 374, 14, 1542, 14, 740, 275, 1264, 3958, 187, 187, 9684, 4714, 13, 665, 556, 4314, 2860, 398, 275, 760, 16493, 387, 14, 67, 1832, 323, 253, 15123, 2921, 13, 369, 8927, 1469, 281, 452, 5869, 1078, 11576, 8191, 779, 253, 5199, 369, 625, 16529, 685, 3786, 1869, 285, 651, 2430, 247, 767, 14, 7791, 7355, 15, 187, 187, 17004, 272, 17761, 13, 9288, 407, 253, 15123, 2921, 327, 8330, 432, 253, 46847, 968, 275, 253, 23316, 8652, 5454, 13, 5420, 275, 1740, 3958, 285, 369, 374, 14, 1542, 14, 25, 15, 28750, 753, 11007, 7902, 651, 14518, 896, 281, 2626, 2613, 846, 4882, 806, 253, 2469, 1740, 3958, 13, 534, 812, 29238, 253, 1039, 323, 36604, 25458, 281, 320, 1925, 598, 285, 1265, 387, 806, 2613, 275, 253, 1273, 2716, 15, 187, 187, 17624, 13121, 2398, 6481, 36800, 313, 42077, 1701, 987, 27770, 10, 556, 4546, 275, 1903, 3958, 275, 521, 31279, 6884, 294, 8621, 47467, 387, 17360, 3228, 13, 533, 253, 15123, 2921, 403, 2779, 281, 1978, 779, 627, 8003, 281, 253, 1384, 14, 13197, 4869, 323, 294, 73, 5375, 15, 187, 187, 2773, 4245, 36800, 253, 5107, 281, 755, 690, 6508, 4882, 673, 387, 253, 36216, 14, 34, 1268, 13, 534, 344, 476, 626, 513, 672, 5875, 13, 984, 344, 434, 247, 7804, 608, 2619, 285, 556, 281, 3297, 327, 253, 2030, 14, 1342, 22970, 390, 13603, 1618, 512, 2952, 15, 754, 369, 16116, 964, 25745, 313, 805, 14, 1542, 14, 2405, 10, 323, 253, 4410, 35034, 661, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	423
[ 0, 10708, 1481, 7053, 15, 19417, 17523, 84, 15, 29284, 1080, 15, 7873, 9111, 4396, 3378, 52, 4219, 28, 187, 187, 4387, 966, 7659, 2320, 8725, 31508, 486, 551, 187, 186, 4387, 7659, 2320, 1082, 551, 996, 186, 10008, 426, 346, 9150, 2320, 33753, 3664, 187, 186, 94, 19668, 186, 4387, 4021, 2105, 1082, 551, 996, 186, 2309, 337, 15, 1762, 28, 187, 186, 94, 187, 94, 535, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	69
[ 0, 298, 426, 3210, 15, 3985, 28, 891, 654, 298, 28, 891, 9234, 551, 187, 50270, 46707, 426, 3210, 60, 74, 62, 2785, 25425, 187, 50270, 338, 313, 46707, 31979, 10031, 10, 551, 187, 50268, 301, 426, 1566, 426, 863, 2967, 28, 187, 50270, 94, 2010, 551, 187, 50268, 301, 426, 863, 2967, 60, 7831, 7104, 15, 18834, 15, 301, 11756, 2785, 686, 301, 22734, 187, 50270, 94, 535, 50270, 605, 1310, 247, 21036, 310, 1119, 13, 3657, 352, 432, 1146, 2879, 285, 187, 50270, 605, 33323, 17310, 352, 715, 253, 5368, 1566, 15, 187, 50270, 338, 313, 20137, 426, 436, 15, 788, 9, 301, 1228, 551, 187, 50268, 338, 313, 12163, 10, 1566, 6648, 60, 20137, 15, 68, 301, 62, 426, 2032, 28, 187, 50268, 338, 313, 27814, 10, 551, 187, 50266, 46707, 426, 863, 2967, 11013, 1566, 3736, 1566, 15, 26059, 1163, 863, 2967, 28, 187, 50266, 338, 313, 10121, 15, 12083, 10, 863, 2967, 426, 5368, 15, 12083, 9, 46707, 13, 4610, 558, 187, 50266, 20137, 15, 1178, 9, 46707, 13, 4610, 558, 187, 50266, 338, 313, 15227, 494, 3857, 2195, 15227, 3857, 5368, 15, 7110, 17196, 9, 15227, 27547, 1228, 3686, 426, 2032, 28, 187, 50268, 94, 187, 50268, 19286, 60, 74, 62, 426, 5368, 28, 535, 50270, 605, 1310, 436, 310, 247, 747, 13, 3588, 1566, 13, 7450, 352, 281, 253, 2634, 936, 4717, 65, 1618, 15, 187, 50270, 94, 2010, 604, 313, 1911, 10, 551, 187, 50268, 7645, 426, 3210, 60, 74, 62, 426, 436, 3333, 35837, 7104, 9, 46707, 13, 4610, 558, 187, 50268, 338, 6522, 7645, 10, 4035, 28, 187, 50268, 936, 4717, 15, 11340, 9, 7645, 558, 187, 50268, 2520, 3333, 1911, 12905, 9, 7645, 13, 4610, 558, 187, 50270, 94, 535, 50270, 605, 3166, 417, 823, 2709, 3210, 342, 253, 1072, 2634, 301, 16433, 187, 50270, 7645, 426, 5368, 2785, 1566, 28, 187, 50270, 338, 313, 2621, 3857, 313, 7645, 15, 261, 4257, 1082, 2785, 2195, 7645, 6648, 60, 7645, 15, 301, 27829, 1340, 15, 11340, 9, 7645, 558, 187, 50270, 7645, 6648, 60, 7645, 15, 301, 62, 426, 2032, 28, 187, 50272, 94, 535, 50272, 605, 20004, 44382, 6688, 3210, 604, 4569, 15, 187, 50272, 338, 313, 12163, 10, 551, 187, 50270, 1542, 313, 74, 426, 470, 13, 298, 426, 436, 15, 3985, 28, 891, 654, 298, 28, 12996, 74, 10, 551, 187, 50268, 338, 6522, 7645, 6648, 15830, 7645, 426, 436, 15, 19286, 60, 74, 2498, 68, 301, 3291, 281, 21605, 15, 11340, 9, 7645, 558, 187, 50270, 94, 187, 50270, 338, 313, 936, 21605, 15, 3985, 10, 436, 15, 12163, 9, 936, 21605, 13, 4610, 558, 187, 50272, 94, 535, 50272, 605, 2594, 604, 23762, 310, 3058, 13, 5731, 2634, 3985, 65, 285, 37690, 275, 747, 3210, 15, 187, 50272, 338, 313, 936, 4717, 15, 3985, 2785, 313, 2621, 3857, 1340, 15, 3985, 1228, 551, 187, 50270, 338, 313, 15227, 494, 10, 3686, 426, 2032, 28, 187, 50270, 2520, 15, 3985, 7079, 281, 4717, 15, 3985, 28, 187, 50270, 338, 313, 255, 3613, 3635, 10, 551, 187, 50268, 1542, 313, 74, 426, 470, 13, 298, 426, 281, 4717, 15, 3985, 28, 891, 654, 298, 28, 891, 9234, 551, 187, 50266, 2520, 15, 19286, 15, 23336, 547, 9, 255, 559, 891, 13, 470, 13, 281, 4717, 60, 74, 9259, 187, 50268, 94, 187, 50270, 94, 2010, 551, 187, 50268, 338, 313, 2621, 10, 436, 15, 19286, 15, 3985, 426, 470, 28, 187, 50268, 2044, 6960, 37748, 426, 1340, 2785, 281, 4717, 28, 187, 50268, 1542, 313, 74, 426, 470, 13, 298, 426, 6960, 37748, 15, 3985, 28, 891, 654, 298, 28, 891, 9234, 551, 187, 50266, 2520, 15, 19286, 15, 11340, 9, 16586, 37748, 60, 74, 9259, 187, 50268, 94, 187, 50270, 94, 187, 50272, 94, 535, 50272, 605, 7949, 1574, 3686, 253, 4849, 604, 4569, 15, 187, 50272, 338, 313, 15227, 10, 436, 15, 15227, 7506, 17525, 290, 27, 2032, 9897, 535, 50272, 605, 15999, 46616, 13, 352, 434, 673, 281, 3289, 512, 4569, 823, 16, 15227, 3394, 15, 187, 50272, 338, 6522, 10121, 15, 17525, 290, 10, 551, 187, 50270, 1542, 313, 74, 426, 470, 13, 298, 426, 281, 4717, 15, 3985, 28, 891, 654, 298, 28, 891, 9234, 551, 187, 50268, 9, 7645, 426, 281, 4717, 60, 74, 2498, 29363, 2073, 1911, 1383, 1566, 13, 436, 13, 4610, 558, 187, 50270, 94, 187, 50270, 338, 313, 15227, 2785, 313, 2621, 3857, 1340, 15, 3985, 1228, 436, 15, 29363, 2073, 15227, 1383, 436, 13, 4610, 558, 187, 50272, 94, 535, 50272, 605, 16140, 253, 2879, 313, 263, 21884, 10, 1566, 313, 263, 3210, 481, 187, 50272, 2309, 11098, 3736, 3210, 60, 17, 62, 1163, 3210, 28, 187, 50274, 2023, 535, 50274, 605, 2091, 368, 452, 625, 4957, 685, 368, 971, 281, 823, 390, 5386, 15978, 13, 187, 50274, 605, 368, 476, 14932, 253, 2862, 873, 342, 247, 747, 1618, 273, 3210, 13, 1293, 14954, 187, 50274, 605, 667, 32449, 2634, 1911, 65, 390, 2634, 12163, 65, 3394, 15, 401, 2731, 2634, 19511, 65, 672, 6699, 15, 187, 50274, 605, 7890, 1020, 323, 10713, 5871, 285, 5556, 5904, 15, 187, 50274, 19511, 27, 1159, 9, 19286, 13, 4610, 10, 551, 187, 50272, 10121, 2785, 313, 10121, 426, 551, 9897, 187, 50272, 1542, 313, 2044, 891, 426, 470, 13, 298, 426, 436, 15, 19286, 15, 3985, 28, 891, 654, 298, 28, 891, 9234, 551, 187, 50270, 2520, 3333, 12163, 12905, 9, 2520, 15, 19286, 60, 74, 1092, 4610, 558, 187, 50272, 94, 187, 50272, 10121, 15, 35065, 37748, 426, 436, 15, 19286, 28, 187, 50272, 2520, 3333, 19511, 1874, 187, 50272, 19286, 426, 436, 15, 1911, 9, 19286, 13, 42315, 31930, 7506, 17525, 290, 27, 2032, 2023, 4610, 4027, 187, 50272, 338, 6522, 10121, 15, 17525, 290, 10, 436, 15, 29363, 2073, 19511, 1383, 436, 13, 4610, 558, 187, 50272, 2309, 3210, 28, 187, 50274, 2023, 535, 50274, 605, 5733, 247, 1566, 281, 253, 990, 273, 253, 4849, 15, 187, 50274, 11340, 27, 1159, 9, 7645, 13, 4610, 10, 551, 187, 50272, 2309, 436, 15, 1911, 9, 7645, 13, 42315, 31930, 7506, 255, 27, 436, 15, 3985, 2023, 4610, 4027, 187, 50274 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 37, 16046, 21585, 27, 2836, 285, 1089, 29383, 771, 1049, 76, 5740, 187, 187, 16560, 3532, 16533, 18346, 187, 187, 41, 16970, 29621, 27, 187, 187, 2347, 281, 28771, 27, 187, 187, 37, 16046, 21585, 310, 271, 12423, 796, 2165, 835, 368, 2836, 323, 18153, 29383, 13, 34779, 13, 5328, 2866, 9613, 17170, 634, 4736, 13, 368, 476, 1973, 14395, 534, 588, 1056, 634, 5145, 1805, 285, 10046, 2, 187, 187, 9264, 6061, 374, 15, 22, 3041, 38661, 3645, 4363, 2, 14244, 187, 187, 35, 999, 609, 2167, 13, 347, 253, 1854, 281, 19994, 310, 6898, 342, 30678, 2, 1244, 672, 368, 4720, 1056, 352, 281, 253, 5004, 13, 253, 773, 35, 1730, 668, 588, 3343, 323, 368, 627, 2, 187, 187, 2042, 368, 751, 28063, 3958, 13, 436, 2165, 310, 323, 368, 2, 187, 187, 17756, 13, 6184, 1024, 285, 1265, 281, 4908, 18153, 29383, 13, 253, 954, 9865, 273, 534, 310, 1108, 20352, 265, 297, 614, 15, 187, 187, 158, 240, 233, 29621, 3384, 240, 233, 187, 158, 241, 99, 2456, 18153, 3510, 273, 29383, 313, 27716, 13, 34779, 13, 7692, 447, 13, 4691, 607, 3254, 2866, 582, 534, 368, 476, 5580, 285, 3157, 11568, 4233, 342, 253, 12431, 2583, 187, 158, 241, 99, 898, 2308, 273, 11701, 13, 534, 588, 1056, 634, 11568, 4233, 1014, 1805, 187, 158, 241, 99, 747, 13, 577, 6509, 447, 273, 639, 8122, 2836, 7276, 187, 158, 241, 99, 374, 1781, 19076, 20490, 13, 534, 6131, 625, 30678, 285, 25926, 342, 1046, 2836, 187, 158, 241, 99, 608, 5231, 534, 368, 476, 897, 1309, 634, 9455, 187, 158, 241, 99, 747, 285, 5520, 5673, 187, 158, 241, 99, 32196, 533, 17905, 30355, 187, 158, 241, 99, 15034, 323, 3477, 3186, 273, 747, 14395, 187, 158, 241, 99, 247, 2257, 273, 21468, 13, 835, 368, 476, 5206, 634, 10921, 1108, 2057, 34779, 390, 1633, 2010, 187, 187, 510, 2165, 310, 7648, 281, 1132, 2, 187, 187, 37698, 776, 3565, 42498, 1108, 3944, 1358, 2700, 15, 1761, 301, 39464, 14091, 900, 15, 681, 187, 9817, 441, 327, 6745, 1108, 5987, 1358, 2700, 15, 24557, 15, 681, 16, 11174, 72, 693, 12627, 187, 9867, 562, 625, 670, 253, 3958, 359, 1056, 327, 776, 5311, 1108, 3944, 1358, 1761, 301, 39464, 14091, 900, 15, 681, 16, 14267, 16, 9198, 16, 187, 187, 510, 2165, 4648, 2494, 35238, 285, 16557, 15, 187, 1276, 4391, 27, 187, 1253, 1355, 3045, 7756, 187, 1253, 7505, 18505, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	409
[ 0, 5564, 27, 25526, 187, 1532, 187, 881, 27, 1332, 187, 1532, 187, 33568, 27, 2362, 13, 1401, 24124, 187, 1532, 187, 8774, 27, 4825, 953, 247, 15191, 2173, 2362, 15, 187, 1532, 187, 2915, 27, 187, 187, 1552, 1332, 476, 320, 908, 281, 25526, 271, 2362, 326, 643, 28437, 476, 10584, 15, 50276, 510, 187, 8045, 1416, 310, 638, 20188, 342, 253, 15191, 5417, 15, 187, 187, 817, 18466, 187, 187, 11202, 16659, 187, 4064, 458, 5751, 263, 15, 24111, 2468, 1395, 49366, 535, 187, 2437, 2752, 23836, 9, 23836, 2262, 535, 50274, 1545, 327, 64, 12540, 64, 23320, 9, 1286, 13, 1401, 24124, 2262, 187, 50270, 1286, 15, 35999, 2073, 23320, 1383, 17374, 30, 2945, 10, 187, 11202, 187, 187, 8195, 15191, 476, 840, 10584, 436, 27, 187, 187, 11202, 16659, 187, 4064, 458, 5751, 263, 15, 24111, 2468, 1395, 49366, 535, 187, 2437, 2752, 23836, 9, 23836, 2262, 535, 50274, 1545, 327, 64, 2577, 64, 16895, 64, 23320, 9, 1286, 13, 17374, 13, 1401, 24124, 2262, 187, 50270, 3845, 2073, 19559, 2462, 84, 8, 2462, 17374, 10, 187, 11202, 187, 187, 9, 1552, 19584, 253, 15191, 2654, 310, 873, 281, 2634, 2577, 14, 16895, 65, 275, 2634, 23320, 15, 4789, 27362, 187, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	206
[ 0, 24305, 78, 17083, 9099, 273, 253, 8570, 273, 247, 557, 335, 545, 504, 9729, 432, 23394, 12865, 601, 23682, 15, 187, 21956, 451, 13733, 46636, 41696, 4679, 347, 247, 1159, 273, 8487, 452, 644, 4824, 562, 323, 7925, 23394, 7238, 3168, 12865, 601, 23682, 285, 247, 1264, 14, 3431, 335, 545, 504, 4309, 313, 5883, 23, 13, 11946, 14, 314, 601, 23682, 481, 380, 1543, 5224, 326, 253, 994, 5590, 4789, 313, 3005, 388, 23558, 10, 285, 4250, 5350, 2544, 313, 3005, 29049, 10, 323, 40132, 403, 8244, 2074, 323, 253, 767, 4324, 15, 831, 2722, 326, 253, 6832, 5141, 313, 1099, 7759, 330, 387, 8487, 495, 15, 25, 10, 275, 308, 78, 4795, 432, 8570, 273, 253, 721, 14, 11946, 557, 335, 545, 504, 5533, 476, 13, 281, 247, 1175, 11193, 13, 320, 12877, 9106, 281, 271, 2572, 275, 253, 15579, 3064, 875, 253, 7925, 285, 1850, 30387, 3054, 15, 380, 8453, 273, 436, 906, 323, 4685, 253, 2616, 29189, 253, 7882, 273, 20618, 4324, 310, 5469, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	171
[ 0, 605, 41415, 407, 33753, 9026, 337, 15, 24, 15, 18, 187, 9, 3701, 1082, 551, 187, 50276, 2044, 24217, 13, 604, 1000, 13, 19736, 83, 13, 4710, 1000, 13, 246, 338, 1000, 13, 187, 50274, 876, 27494, 426, 544, 1570, 27494, 28, 535, 50276, 338, 1000, 426, 1159, 9, 24796, 13, 18382, 10, 551, 187, 50274, 2309, 1159, 1082, 551, 187, 50272, 2044, 247, 13, 1486, 28, 187, 50272, 1000, 426, 7125, 60, 17, 1092, 247, 426, 374, 11049, 7125, 15, 3985, 3736, 4772, 27494, 15, 4065, 9, 31126, 13, 337, 10, 1163, 26991, 187, 50272, 338, 313, 1000, 3613, 3635, 10, 551, 187, 50270, 2309, 1891, 9, 1000, 558, 187, 50272, 94, 2010, 551, 187, 50270, 2309, 29144, 18382, 11013, 346, 3701, 3, 3736, 18382, 15, 18788, 9, 8629, 13, 247, 10, 1163, 2991, 470, 28, 187, 50272, 94, 187, 50274, 4718, 187, 50276, 4718, 535, 50276, 40165, 1000, 426, 1159, 9, 24796, 13, 18382, 10, 551, 187, 50274, 2309, 604, 1000, 9, 24796, 13, 1159, 1082, 551, 187, 50272, 2044, 247, 13, 1486, 28, 187, 50272, 66, 426, 337, 11049, 7125, 15, 3985, 3736, 4772, 27494, 15, 4065, 9, 31126, 13, 470, 10, 1163, 26991, 187, 50272, 14626, 551, 187, 50270, 2309, 18382, 15, 18788, 9, 8629, 13, 247, 558, 187, 50272, 94, 5834, 18339, 3775, 10, 551, 187, 50270, 1000, 426, 795, 3775, 28, 187, 50270, 2309, 1891, 9, 1000, 558, 187, 50272, 94, 187, 50274, 9897, 187, 50276, 4718, 535, 50276, 22408, 1000, 426, 604, 1000, 15, 13245, 9, 8629, 13, 1159, 9, 1000, 10, 551, 187, 50274, 22408, 1486, 28, 187, 50276, 9897, 535, 50276, 1087, 2388, 83, 426, 604, 1000, 9, 3701, 9, 1000, 10, 551, 187, 50274, 2309, 9667, 15, 3775, 9, 1000, 15, 9742, 2785, 1486, 558, 187, 50276, 9897, 535, 50276, 8640, 15, 23756, 426, 24217, 426, 604, 1000, 28, 535, 50276, 23756, 15, 338, 1000, 426, 604, 1000, 28, 535, 50276, 23756, 15, 40165, 1000, 426, 246, 338, 1000, 28, 535, 50276, 23756, 15, 22408, 1000, 426, 4710, 1000, 28, 535, 50276, 23756, 15, 1087, 2388, 83, 426, 19736, 83, 28, 187, 187, 38331, 4065, 9, 2520, 558, 187, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	361
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 13, 285, 326, 326, 3200, 6634, 387, 3963, 11508, 13, 285, 310, 17357, 387, 253, 990, 685, 387, 253, 5068, 13, 285, 326, 597, 313, 783, 3603, 10, 403, 9928, 275, 616, 1211, 5053, 13, 285, 326, 597, 1620, 3553, 1110, 5053, 3707, 407, 3490, 13, 323, 1016, 273, 253, 1740, 3603, 310, 4503, 281, 253, 643, 347, 17730, 2978, 273, 6242, 285, 3626, 7867, 566, 15, 187, 187, 26021, 13, 253, 1740, 3603, 7081, 2710, 3607, 28, 4250, 285, 5412, 13, 9685, 1255, 285, 6079, 1255, 13, 1708, 1255, 285, 3573, 1632, 13, 19779, 1255, 285, 1499, 628, 405, 13, 285, 253, 3753, 273, 253, 5882, 2247, 310, 3587, 10066, 281, 1110, 295, 2478, 28, 984, 275, 10266, 281, 253, 9118, 3200, 273, 253, 1740, 3603, 13, 627, 310, 253, 13765, 3200, 273, 253, 5882, 2247, 13, 285, 275, 10266, 281, 253, 2180, 474, 12340, 273, 326, 3200, 13, 310, 253, 14549, 10533, 275, 253, 3200, 273, 253, 5882, 2247, 13, 285, 275, 10266, 281, 253, 19779, 1255, 285, 43596, 1632, 273, 326, 3200, 13, 310, 253, 41510, 1499, 628, 405, 275, 253, 3200, 273, 253, 5882, 2247, 15, 496, 10266, 281, 326, 21692, 7867, 1371, 273, 253, 1740, 3603, 13, 275, 616, 1211, 6887, 13, 310, 253, 9928, 3626, 3200, 273, 253, 5882, 2247, 275, 697, 1211, 1899, 15, 1244, 347, 253, 1740, 3603, 285, 616, 1375, 273, 7867, 1371, 403, 273, 4503, 1331, 28780, 13, 275, 253, 1072, 1039, 13, 253, 5882, 2247, 285, 697, 3200, 403, 273, 4503, 1331, 28780, 13, 285, 310, 1293, 667, 273, 841, 3607, 273, 253, 1740, 3603, 13, 323, 627, 310, 6747, 4250, 4543, 5412, 13, 9685, 1255, 390, 6079, 1255, 275, 352, 13, 4543, 1708, 1255, 390, 3573, 1632, 13, 4543, 19779, 1255, 4543, 1499, 628, 405, 15, 187, 187, 1909, 253, 4243, 273, 253, 1740, 3603, 403, 1160, 13, 597, 1620, 2489, 40634, 4543, 4391, 533, 313, 609, 10, 347, 597, 497, 432, 253, 5068, 273, 253, 1533, 13, 5882, 13, 8566, 13, 801, 383, 957, 917, 13, 801, 739, 311, 13228, 13, 285, 3021, 597, 588, 320, 1919, 253, 990, 534, 253, 40325, 6960, 323, 731, 15, 13162, 13, 1580, 253, 3753, 273, 253, 1740, 3603, 285, 253, 3753, 273, 253, 5882, 2247, 403, 3587, 10066, 281, 1016, 643, 13, 352, 310, 1411, 1921, 281, 1333, 326, 253, 5882, 2247, 369, 9924, 273, 253, 1740, 3603, 15, 187, 187, 8195, 1921, 1411, 253, 1072, 3762, 27, 6000, 1789, 326, 310, 509, 8055, 432, 10214, 3603, 326, 789, 1411, 1016, 643, 285, 17715, 272, 1016, 643, 13, 253, 2644, 17715, 84, 275, 253, 990, 28, 824, 3797, 28473, 285, 5074, 13, 285, 3253, 2010, 326, 310, 9924, 273, 253, 1740, 3603, 275, 534, 253, 7285, 3607, 273, 253, 1740, 3603, 6909, 1016, 643, 15, 1244, 672, 581, 2867, 1404, 5351, 689, 253, 643, 13, 253, 2181, 326, 310, 9924, 273, 731, 310, 4336, 11069, 15, 13162, 13, 604, 253, 5882, 2247, 497, 9924, 273, 253, 1740, 3603, 13, 21681, 281, 1110, 7285, 18701, 1146, 25834, 27009, 13, 275, 253, 990, 253, 5882, 2247, 651, 320, 18224, 285, 651, 591, 763, 15, 187, 187, 14131, 1580, 642, 861, 273, 253, 28425, 310, 13, 556, 644, 13, 390, 588, 320, 13, 2540, 13, 1339, 352, 320, 7192, 326, 352, 313, 783, 5882, 2247, 10, 310, 2080, 432, 1146, 9924, 273, 253, 1740, 3603, 15, 3308, 778, 754, 665, 6960, 352, 275, 824, 15822, 320, 24011, 407, 4130, 665, 651, 38189, 352, 15, 187, 187, 8846, 5543, 48, 6202, 3016, 48288, 46, 2300, 3489, 5529, 27176, 5851, 1433, 13, 17464, 330, 2025, 947, 34, 15, 187, 187, 3039, 2656, 3562, 253, 5882, 2247, 754, 50081, 247, 2120, 3962, 3200, 326, 1620, 5459, 390, 12075, 28, 1580, 275, 6818, 14, 12496, 3038, 253, 5882, 2247, 29141, 697, 2282, 1293, 1891, 285, 1293, 38426, 13, 285, 1110, 6818, 14, 12496, 3038, 403, 1388, 285, 2360, 15, 187, 187, 13618, 671, 1160, 253, 15269, 273, 253, 5101, 281, 9766, 1388, 285, 2360, 28, 285, 616, 3753, 13, 616, 2978, 13, 285, 2159, 1255, 13, 285, 281, 9766, 253, 31793, 273, 253, 36724, 13, 285, 253, 3064, 273, 2572, 285, 6379, 273, 4250, 285, 5412, 275, 1027, 5053, 13, 275, 1340, 281, 38500, 17268, 432, 1016, 643, 13, 285, 281, 42514, 253, 1340, 273, 253, 1533, 13, 984, 604, 253, 5882, 2247, 285, 253, 5101, 4395, 625, 4541, 685, 597, 513, 13, 253, 1897, 285, 15513, 651, 320, 36439, 13, 253, 5101, 651, 417, 452, 673, 281, 42514, 697, 3470, 13, 285, 36680, 17268, 651, 16410, 281, 1756, 28, 285, 604, 597, 4395, 625, 7808, 685, 597, 513, 13, 2360, 285, 1388, 651, 344, 33596, 7461, 264, 13, 285, 13, 17912, 13, 347, 253, 5101, 651, 320, 1512, 1048, 689, 253, 6149, 13, 352, 651, 44959, 285, 6079, 598, 253, 2553, 273, 253, 6149, 13, 285, 651, 9659, 2717, 281, 1756, 275, 253, 8825, 15, 3308, 1821, 812, 417, 23031, 275, 253, 11053, 629, 273, 253, 1533, 13, 347, 597, 513, 1024, 387, 247, 4181, 273, 25279, 7759, 432, 253, 1298, 1080, 984, 604, 253, 5101, 11791, 1512, 1048, 13, 352, 651, 1056, 326, 1659, 440, 249, 8621, 7116, 3357, 15, 10244, 13, 387, 670, 253, 990, 273, 21116, 14, 17182, 7759, 3439, 273, 253, 5882, 2247, 6146, 4515, 432, 253, 1072, 1386, 13, 253, 2919, 11834, 731, 651, 320, 440, 249, 8621, 7116, 327, 2395, 273, 253, 5412, 273, 253, 1077, 1048, 2360, 15, 380, 2919, 432, 253, 990, 273, 1110, 21116, 14, 17182, 7759, 310, 440, 249, 8621, 7116, 327, 2395, 273, 13622, 5412, 347, 2080, 347, 253, 2919, 326, 310, 762, 253, 5101, 434, 2282, 15, 1198, 253, 5101, 12186, 1100, 4404, 253, 6420, 1930, 273, 253, 1533, 13, 253, 5412, 5459, 594, 1199, 327, 253, 6146, 1930, 13, 326, 5074, 2550, 23031, 275, 352, 285, 253, 7139, 513, 417, 1756, 15, 1244, 594, 1821, 390, 5074, 2550, 23031, 6420, 273, 253, 18979, 1386, 327, 2395, 273, 13622, 4250, 13, 285, 275, 253, 2659, 326, 310, 187, 187, 570, 4885, 326, 1386, 327, 253, 3304, 403, 253, 33533, 265, 2417, 665, 403, 47465, 407, 253, 13622 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 2861, 3337, 187, 187, 8398, 368, 323, 634, 1329, 1309, 253, 4544, 2, 187, 187, 14569, 13, 1052, 7108, 2779, 588, 3150, 432, 247, 2854, 46539, 15, 5595, 273, 731, 588, 3150, 3815, 15, 187, 187, 510, 2208, 457, 84, 4980, 14, 1201, 2380, 281, 776, 5674, 457, 84, 46539, 22954, 556, 644, 32063, 4085, 314, 18766, 15, 13771, 685, 22128, 327, 3739, 5859, 13, 776, 7038, 452, 644, 12208, 407, 253, 1072, 3731, 26960, 7274, 326, 762, 72, 1817, 264, 253, 773, 7523, 327, 5835, 668, 275, 253, 9178, 84, 1905, 4709, 13, 35809, 285, 23285, 15, 187, 187, 1231, 878, 247, 38144, 5700, 326, 11355, 5237, 285, 26866, 4852, 15, 831, 7866, 342, 27355, 12365, 253, 6424, 9370, 3487, 327, 2854, 4212, 1905, 13383, 323, 1971, 3185, 273, 17178, 7260, 28, 18462, 1569, 10473, 281, 1818, 6406, 7274, 28, 285, 13, 954, 273, 512, 13, 2866, 187, 187, 1147, 434, 673, 323, 27355, 275, 776, 2586, 281, 294, 18959, 253, 5899, 2554, 273, 253, 15303, 285, 1007, 387, 747, 4088, 359, 476, 7832, 342, 5684, 16010, 13, 3114, 7038, 13, 285, 2579, 11967, 275, 776, 4811, 281, 1056, 776, 7888, 23107, 15, 187, 187, 42, 4102, 820, 14, 14399, 2149, 247, 29054, 342, 26858, 17025, 13, 247, 1569, 11652, 387, 34625, 16015, 2499, 13, 326, 18627, 2173, 8130, 359, 943, 1691, 715, 3946, 281, 4979, 253, 6424, 8426, 985, 15, 187, 187, 42, 11435, 253, 851, 8775, 407, 581, 273, 253, 2032, 27559, 273, 6424, 8426, 18035, 1214, 43, 53, 3385, 261, 2385, 3824, 8761, 556, 1199, 789, 281, 513, 281, 1973, 3114, 4517, 13, 533, 671, 1142, 1270, 747, 15670, 457, 84, 275, 3968, 665, 347, 16695, 281, 513, 816, 326, 15, 187, 187, 48182, 7217, 310, 4122, 16761, 2190, 2872, 952, 285, 7888, 273, 3295, 15, 5128, 7729, 441, 4271, 835, 281, 2770, 3114, 14, 1070, 7268, 6031, 281, 3657, 625, 7217, 15, 844, 452, 1199, 789, 6386, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	325
[ 0, 18, 15, 380, 7327, 273, 253, 14723, 187, 510, 3688, 7033, 3839, 281, 253, 9554, 273, 10675, 7315, 10717, 342, 643, 38195, 2600, 15, 3010, 5742, 13, 253, 3688, 7033, 281, 3082, 285, 6576, 323, 24399, 10675, 7315, 3888, 342, 7223, 2130, 689, 253, 7336, 15, 187, 19, 15, 17720, 285, 15073, 3975, 187, 510, 7336, 310, 247, 11762, 4849, 273, 6928, 285, 7394, 1576, 15, 380, 7336, 3797, 247, 27882, 273, 1029, 14, 15507, 941, 5511, 3104, 875, 2201, 7632, 390, 3167, 12823, 13, 11253, 273, 6763, 273, 6264, 13, 2208, 13, 11331, 13, 285, 643, 4382, 2718, 15, 380, 3645, 4363, 7066, 313, 783, 7066, 10, 310, 9924, 273, 247, 8485, 1180, 273, 22506, 9713, 773, 21505, 668, 273, 1491, 2130, 327, 253, 7336, 15, 380, 4451, 12453, 13, 39149, 1929, 347, 21312, 22106, 15108, 13783, 313, 3322, 2513, 582, 1056, 352, 3477, 281, 5100, 4859, 875, 2905, 7223, 13, 285, 875, 7223, 285, 643, 1491, 5300, 327, 253, 7066, 15, 10200, 3510, 273, 49189, 2513, 2486, 40489, 313, 49194, 22106, 18771, 2392, 10, 285, 49189, 19450, 313, 49194, 22106, 35876, 481, 187, 21166, 327, 247, 1677, 3239, 778, 320, 7939, 281, 2905, 1491, 327, 247, 1273, 3239, 407, 5277, 247, 773, 27049, 4492, 1806, 390, 773, 4492, 1806, 31238, 253, 38917, 273, 253, 1273, 3239, 15, 6102, 4859, 403, 5431, 6607, 347, 16318, 2505, 390, 19908, 14237, 326, 778, 320, 4236, 970, 247, 6521, 14, 881, 12219, 313, 66, 773, 19618, 21372, 28100, 2118, 875, 7223, 327, 253, 7336, 407, 17221, 4859, 2556, 281, 253, 2608, 434, 1600, 15, 831, 1332, 273, 4886, 432, 3239, 281, 3239, 327, 253, 7336, 275, 3186, 273, 1491, 310, 7744, 6289, 281, 347, 773, 9960, 41822, 253, 5357, 1425, 187, 510, 7066, 556, 2489, 247, 4633, 7741, 323, 1491, 12600, 281, 2761, 667, 2256, 15, 380, 3116, 273, 436, 18395, 556, 644, 10260, 8655, 407, 253, 2440, 273, 2629, 14923, 44236, 11515, 313, 32302, 4132, 582, 275, 1798, 253, 4373, 1156, 44236, 3448, 313, 15597, 10, 285, 13, 625, 4102, 13, 253, 9052, 35418, 4744, 484, 18847, 313, 17733, 481, 4744, 484, 11515, 4853, 253, 5981, 273, 7066, 7177, 407, 14631, 253, 16144, 285, 14663, 273, 2714, 13, 12691, 7997, 326, 2028, 7066, 27030, 849, 281, 3148, 253, 9410, 273, 247, 3389, 15, 11685, 285, 14784, 671, 34661, 7066, 7223, 285, 643, 1491, 5300, 970, 4373, 23053, 15, 11685, 310, 21654, 253, 954, 4633, 44236, 3448, 908, 281, 2488, 7066, 2600, 15, 380, 1563, 5955, 3103, 16633, 327, 11685, 13, 3738, 253, 12342, 5469, 4647, 9696, 281, 643, 44236, 11515, 15, 187, 8209, 15, 337, 313, 40844, 1445, 10, 310, 247, 2685, 21341, 2233, 35668, 849, 247, 6041, 9882, 390, 7336, 8351, 29512, 247, 5542, 273, 11685, 941, 9199, 281, 3148, 247, 7066, 3239, 7346, 15, 43312, 387, 3213, 11084, 13, 247, 3694, 1789, 1925, 271, 11685, 22109, 13328, 265, 11685, 941, 9199, 15, 380, 1307, 773, 33385, 1789, 668, 310, 908, 1060, 275, 253, 3634, 273, 1789, 14, 21085, 10717, 13, 285, 10770, 281, 247, 4778, 11616, 1097, 33255, 285, 941, 326, 310, 4127, 347, 247, 13358, 10726, 15, 187, 30532, 272, 11685, 941, 9199, 11330, 247, 2962, 273, 11685, 14610, 285, 12474, 11858, 15, 308, 3544, 403, 2127, 326, 22649, 271, 3284, 275, 247, 3389, 13, 824, 347, 247, 13590, 390, 247, 12494, 13, 323, 253, 6378, 273, 33907, 13, 44176, 13, 285, 20057, 1491, 275, 253, 3389, 15, 5706, 8029, 403, 1416, 14, 2877, 8557, 1561, 247, 31480, 3284, 326, 10007, 2176, 3386, 273, 326, 3284, 15, 2053, 3386, 2486, 3295, 13, 1979, 13, 1899, 13, 285, 253, 1979, 285, 3740, 273, 36622, 15, 187, 9301, 13, 247, 3694, 1789, 5431, 6289, 281, 347, 247, 773, 3306, 22074, 668, 7783, 4665, 84, 14610, 285, 12474, 11858, 15, 380, 7914, 1543, 275, 253, 8869, 273, 247, 3389, 941, 2605, 12036, 326, 4428, 512, 273, 253, 33907, 285, 2600, 1491, 2424, 281, 8600, 11685, 3239, 7346, 15, 380, 2600, 1491, 476, 2486, 4859, 281, 643, 1491, 5300, 13, 824, 347, 3492, 13, 3888, 13, 285, 643, 7066, 7223, 281, 320, 8653, 1561, 253, 1461, 1100, 273, 11685, 3239, 7346, 15, 6610, 13, 247, 15896, 13732, 285, 2905, 3694, 4665, 941, 2605, 12036, 281, 8600, 253, 2460, 273, 11685, 3239, 7346, 313, 783, 11685, 3389, 10, 323, 3148, 15, 187, 35031, 20737, 13, 824, 347, 1110, 33536, 35842, 407, 7066, 12101, 32492, 13, 3690, 904, 2085, 7066, 2289, 1293, 247, 5899, 3367, 4382, 15, 7336, 20737, 313, 12563, 7744, 6289, 281, 347, 873, 14, 3956, 12783, 10, 2085, 7066, 2289, 970, 271, 9826, 7315, 313, 12101, 10, 873, 347, 247, 3148, 285, 247, 8905, 1453, 390, 11744, 15487, 323, 2608, 3280, 15, 2053, 7336, 20737, 1581, 20985, 281, 1859, 7066, 2600, 13, 3698, 7315, 13, 390, 10486, 513, 1097, 407, 19703, 10675, 5579, 1561, 247, 3497, 273, 247, 7066, 3239, 15, 5579, 11575, 1561, 247, 7066, 3239, 310, 417, 629, 273, 253, 11685, 3389, 13947, 253, 3239, 13, 533, 1364, 320, 11217, 11794, 970, 9940, 3694, 15, 3900, 253, 1543, 403, 12207, 13, 627, 310, 17837, 247, 878, 323, 247, 19554, 1332, 273, 34047, 11685, 285, 10675, 5579, 2600, 15, 187, 2374, 8120, 13, 352, 310, 11408, 281, 3148, 19908, 3888, 689, 10675, 3492, 1293, 4336, 14551, 981, 253, 3492, 15, 6102, 247, 4438, 273, 4254, 16000, 253, 27025, 281, 4035, 281, 3698, 13, 323, 1650, 13, 247, 7583, 7315, 2086, 13, 1223, 17837, 8667, 253, 4780, 273, 299, 15, 72, 15, 247, 10155, 3668, 2926, 390, 247, 3153, 2165, 4868, 15, 44347, 7336, 20737, 13, 824, 347, 326, 2130, 432, 7066, 12101, 13, 3690, 904, 3959, 436, 13175, 15, 1723, 13, 253, 6673, 5361, 273, 11685, 2600, 285, 10675, 7315, 310, 4390, 247, 2570, 1232, 15, 3840, 13, 6041, 7336, 20737, 513, 417, 1329, 253, 897, 273, 7315, 275, 253, 4114, 273, 271, 11685, 3389, 15, 380, 878, 323, 247, 2969, 2097, 273, 16248, 11685, 285, 10675, 5579, 2600, 3103, 37035, 247, 878, 323, 247, 1332, 326, 8525, 10675, 5579, 4114, 323, 7066, 7223, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,007
[ 0, 281, 13240, 15, 1500, 3395, 22382, 275, 253, 32686, 13, 285, 369, 1691, 275, 253, 4675, 434, 278, 2061, 489, 15, 187, 187, 1147, 369, 6888, 275, 253, 278, 2061, 489, 326, 703, 369, 1335, 9338, 15, 1500, 13368, 5869, 327, 617, 1481, 285, 2959, 4918, 275, 253, 4675, 275, 253, 1563, 1897, 15, 1623, 617, 2626, 1388, 275, 253, 4675, 13, 12128, 8308, 308, 507, 86, 1325, 218, 6626, 5087, 247, 4143, 281, 617, 15, 187, 187, 20212, 486, 4645, 253, 2774, 703, 369, 22944, 4830, 253, 33619, 285, 32926, 6216, 369, 10675, 327, 7315, 15, 49239, 6143, 3863, 253, 7963, 2668, 1309, 326, 2250, 347, 973, 15, 380, 15279, 3490, 12322, 3562, 12680, 33728, 318, 1561, 253, 1345, 15, 187, 187, 45403, 91, 5616, 27664, 3314, 2959, 3739, 1971, 275, 247, 3055, 4675, 323, 1264, 1107, 15, 12571, 281, 5415, 3513, 21199, 13, 703, 4395, 1977, 432, 443, 23248, 29787, 281, 9997, 5588, 7885, 275, 253, 6146, 15, 1500, 4895, 1107, 1996, 15, 187, 187, 49274, 209, 187, 7034, 14143, 4824, 562, 327, 1722, 23493, 265, 4860, 326, 5093, 273, 731, 4962, 407, 3513, 29093, 15, 380, 1345, 15303, 23460, 6818, 3513, 6251, 323, 27433, 253, 7787, 273, 7933, 1881, 14, 29337, 15, 1198, 3988, 4606, 13, 253, 1659, 273, 2332, 369, 9495, 432, 39896, 3090, 81, 275, 41460, 281, 247, 1302, 275, 253, 50276, 14103, 1977, 2846, 273, 1535, 357, 5894, 327, 253, 20558, 25489, 5418, 11936, 15, 12605, 2348, 327, 4397, 1903, 13, 8878, 13, 253, 1083, 20578, 1919, 3919, 495, 13, 5307, 15, 187, 187, 510, 1302, 12969, 767, 3513, 6251, 8106, 273, 7701, 13, 533, 4171, 2166, 253, 643, 1283, 3988, 6338, 273, 667, 45452, 15, 2006, 358, 21975, 333, 21720, 13, 2326, 275, 247, 20541, 9602, 342, 271, 12077, 20260, 13, 369, 6636, 281, 9161, 1107, 275, 5754, 323, 7701, 273, 1740, 7732, 15, 3032, 12339, 369, 3777, 840, 281, 2800, 1107, 285, 4314, 2607, 15, 48005, 3899, 443, 46766, 80, 14437, 266, 13, 665, 369, 5950, 1223, 9602, 327, 281, 253, 11843, 13, 369, 8523, 16290, 281, 5693, 1107, 323, 9811, 767, 23332, 15, 3032, 4179, 369, 3777, 281, 1264, 1107, 285, 7457, 2607, 15, 380, 7260, 497, 44866, 15, 380, 6413, 2111, 43868, 253, 2406, 1302, 434, 3061, 327, 253, 9905, 326, 642, 19843, 323, 7701, 13164, 15, 1284, 253, 1083, 369, 294, 31370, 387, 253, 1302, 275, 1535, 357, 5894, 13, 5870, 273, 253, 10349, 29504, 1580, 597, 6566, 253, 1375, 651, 3168, 43351, 2994, 8791, 15, 380, 1302, 13084, 253, 767, 25638, 342, 247, 12339, 273, 1740, 1107, 285, 4567, 2607, 275, 2264, 15, 380, 12553, 3061, 369, 7012, 407, 253, 6413, 2111, 327, 4163, 1903, 13, 6752, 15, 187, 187, 40417, 281, 5284, 2111, 273, 8801, 12484, 209, 187, 17588, 253, 19313, 273, 253, 12553, 1302, 3061, 13, 253, 5870, 273, 253, 3307, 3846, 10349, 20652, 281, 253, 5284, 2111, 273, 8801, 12484, 313, 4625, 85, 9914, 481, 380, 2111, 275, 659, 6230, 32620, 6636, 327, 4163, 3435, 13, 5826, 253, 4687, 273, 14307, 342, 253, 7830, 273, 10963, 275, 2408, 273, 17275, 1229, 13, 933, 281, 1016, 2021, 273, 13265, 10349, 275, 253, 443, 23248, 29787, 285, 273, 2620, 3846, 84, 275, 253, 37995, 78, 4011, 74, 6683, 3286, 13, 2264, 272, 281, 17275, 35191, 13, 933, 15, 380, 444, 5229, 9914, 1119, 247, 8411, 273, 253, 5284, 15757, 327, 8801, 12484, 434, 14108, 374, 13, 534, 24696, 253, 987, 273, 1046, 1436, 281, 616, 1495, 13, 285, 14108, 2145, 15, 187, 187, 24801, 5839, 187, 187, 39363, 327, 30566, 5839, 209, 187, 40, 3090, 5792, 266, 611, 43339, 266, 518, 13, 19041, 273, 6129, 90, 34113, 518, 43159, 432, 20000, 285, 36740, 7021, 313, 8561, 49, 10, 285, 617, 655, 16005, 3558, 11651, 4395, 247, 3200, 327, 3919, 1249, 13, 4695, 13, 327, 253, 2145, 394, 19054, 273, 253, 8878, 443, 23248, 29787, 43384, 13, 323, 253, 5839, 273, 253, 3394, 407, 253, 18416, 8481, 3313, 14184, 15, 187, 187, 21419, 1541, 1441, 251, 4602, 209, 187, 510, 5312, 16336, 1240, 2361, 326, 1309, 253, 2007, 14006, 275, 253, 1083, 273, 8024, 1541, 1441, 251, 7587, 13, 253, 1345, 15303, 6888, 326, 14183, 1342, 443, 8824, 67, 3090, 91, 13, 247, 30054, 1796, 13282, 273, 14199, 275, 253, 5575, 502, 395, 22019, 8024, 1541, 1441, 251, 6003, 13, 369, 253, 2022, 12353, 273, 253, 8878, 8104, 275, 253, 443, 23248, 29787, 15, 187, 187, 1328, 369, 14565, 407, 378, 33472, 290, 36125, 15701, 8824, 76, 13, 247, 31531, 263, 1598, 19439, 8544, 5908, 275, 253, 5958, 273, 247, 2201, 15, 443, 8824, 67, 3090, 91, 369, 685, 10166, 407, 253, 443, 10124, 961, 74, 275, 2714, 27205, 285, 12264, 27205, 15, 754, 2959, 3221, 6489, 7177, 432, 36125, 15701, 8824, 76, 285, 253, 2127, 1416, 346, 44, 3090, 3314, 42664, 388, 317, 5588, 3, 313, 22478, 595, 27, 11573, 21263, 737, 303, 10, 1078, 344, 4395, 281, 41460, 323, 2250, 15, 754, 4447, 627, 247, 10821, 273, 3578, 2758, 15, 2635, 327, 253, 7367, 273, 36125, 15701, 8824, 76, 13, 14183, 1342, 443, 8824, 67, 3090, 91, 9355, 285, 4824, 562, 253, 9222, 275, 253, 443, 23248, 29787, 342, 521, 3137, 1271, 15, 187, 187, 4941, 2490, 187, 1413, 27, 44163, 6584, 2280, 317, 373, 187, 1413, 27, 23067, 317, 373, 275, 14307, 187, 1413, 27, 24195, 48083, 275, 14307, 187, 1413, 27, 40, 5292, 411, 14503, 187, 1413, 27, 27748, 2111, 273, 8801, 12484, 2219, 7668, 14307, 187, 1413, 27, 20294, 1204, 275, 14307, 187, 1413, 27, 51, 74, 1502, 285, 5079, 8984, 275, 14307, 187, 40, 23248, 7150, 43384, 187, 40, 23248, 7150, 43384, 187, 40, 23248, 7150, 43384, 187, 1413, 27, 12697, 273, 41460, 187, 1413, 27, 21419, 1541, 1441, 251, 313, 38653, 318, 10, 187, 1413, 27, 7498, 2241, 552, 6491, 434, 46478, 7021, 16, 34552, 187, 1413, 27, 13435, 84, 275, 41460, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	983
[ 0, 4041, 273, 253, 5962, 14672, 309, 4089, 3063, 310, 326, 952, 6403, 457, 85, 2970, 253, 8981, 597, 17337, 15, 12369, 597, 403, 247, 10459, 5702, 2819, 281, 2118, 598, 253, 17210, 275, 616, 5249, 390, 247, 2136, 7302, 2819, 281, 2659, 625, 42733, 8548, 285, 12712, 13, 597, 457, 250, 15586, 281, 12129, 3746, 275, 271, 10501, 285, 27834, 1039, 15, 187, 187, 24881, 13, 309, 457, 306, 4070, 264, 275, 327, 752, 352, 3936, 281, 1614, 752, 309, 1067, 773, 510, 1810, 263, 7695, 9405, 26048, 28238, 14313, 668, 275, 634, 5249, 390, 2136, 715, 5412, 13, 1892, 7942, 2, 7243, 368, 457, 306, 9425, 3606, 326, 1232, 13, 368, 457, 620, 6427, 1805, 8548, 13, 6351, 625, 8981, 275, 253, 3906, 13, 1928, 1039, 625, 13224, 13, 873, 4834, 7419, 432, 253, 33361, 13, 3523, 29124, 670, 253, 7324, 285, 6233, 625, 2583, 15, 187, 187, 1147, 457, 84, 247, 2969, 1566, 15, 19296, 896, 281, 634, 1029, 2143, 8697, 390, 9317, 966, 281, 253, 12616, 773, 55, 2477, 6129, 12068, 6598, 380, 1810, 263, 7695, 9405, 26048, 28238, 310, 387, 253, 15171, 273, 495, 12342, 27, 187, 187, 7093, 15040, 285, 38969, 187, 1147, 457, 84, 4619, 368, 871, 752, 368, 457, 250, 1663, 1175, 387, 285, 352, 457, 84, 2779, 326, 368, 1053, 457, 85, 15, 1310, 368, 457, 250, 751, 954, 952, 13, 368, 762, 2877, 752, 368, 871, 15, 2091, 1633, 1260, 265, 10748, 281, 368, 13, 352, 457, 84, 3477, 281, 5467, 326, 4130, 310, 1175, 387, 352, 1512, 15, 13529, 812, 320, 10046, 432, 253, 5083, 15, 187, 187, 12864, 247, 7408, 1066, 3541, 18209, 285, 1642, 4834, 752, 368, 7636, 281, 513, 347, 247, 1429, 390, 28713, 15, 28285, 253, 9351, 273, 1841, 952, 452, 2546, 634, 7535, 327, 689, 253, 1107, 15, 2091, 368, 457, 250, 2590, 670, 634, 15040, 285, 2770, 634, 2136, 390, 5249, 1475, 253, 2048, 273, 326, 15040, 13, 368, 457, 620, 320, 3576, 285, 2793, 1679, 11182, 15, 7733, 588, 1928, 45822, 285, 2120, 273, 11990, 15, 1310, 368, 6403, 457, 85, 6600, 273, 285, 1053, 457, 85, 8069, 2791, 253, 1318, 273, 634, 6936, 13, 368, 457, 620, 3590, 751, 4130, 2010, 672, 11771, 323, 8548, 390, 7375, 15, 1422, 457, 620, 1646, 751, 247, 31142, 285, 320, 4354, 7932, 407, 3095, 342, 247, 2406, 12246, 15, 187, 187, 3039, 368, 2770, 327, 752, 368, 457, 250, 22500, 670, 13, 368, 457, 620, 671, 2793, 247, 5471, 273, 43568, 285, 11010, 15, 6865, 588, 8778, 407, 984, 368, 457, 250, 2509, 752, 368, 2389, 15, 187, 187, 7093, 6383, 457, 3198, 187, 8836, 588, 2075, 1175, 2583, 281, 3095, 665, 310, 12351, 347, 1146, 3095, 665, 476, 1361, 731, 8415, 616, 954, 21007, 3374, 15, 1422, 452, 281, 871, 752, 11359, 731, 22238, 387, 2360, 285, 849, 634, 2802, 40397, 457, 588, 1339, 731, 1551, 625, 6330, 2920, 15, 1310, 368, 6403, 457, 85, 6600, 273, 616, 3237, 13, 634, 9137, 8169, 281, 731, 588, 3590, 751, 326, 16955, 7233, 9732, 773, 56, 1240, 13, 259, 1240, 13, 259, 1240, 13, 259, 1240, 13, 259, 1240, 13, 259, 1240, 13, 259, 1240, 6598, 1583, 1053, 457, 85, 1557, 849, 4484, 634, 1232, 310, 15, 1583, 760, 1557, 670, 616, 3075, 285, 2970, 8314, 273, 352, 15, 187, 187, 7093, 3959, 13, 973, 14, 12292, 264, 187, 1394, 1364, 452, 247, 2173, 16182, 368, 897, 281, 1361, 8415, 1110, 3237, 15, 2064, 457, 84, 634, 773, 45422, 6598, 14566, 247, 26014, 985, 275, 1659, 4245, 368, 625, 17938, 285, 6887, 368, 347, 271, 6485, 15, 4952, 604, 368, 457, 250, 271, 8183, 13, 368, 3164, 452, 247, 2176, 1039, 368, 564, 670, 16161, 3237, 15, 2091, 368, 476, 6266, 285, 1416, 634, 1232, 13, 352, 457, 84, 1318, 4566, 598, 15, 733, 457, 84, 581, 273, 253, 5018, 309, 1379, 619, 8548, 949, 275, 619, 35625, 773, 9304, 292, 907, 5402, 12951, 248, 668, 285, 773, 4678, 20909, 21591, 38743, 668, 3055, 25021, 1897, 15, 187, 187, 510, 1273, 4445, 273, 436, 310, 253, 2802, 4714, 14, 12292, 264, 457, 629, 15, 1422, 812, 452, 253, 954, 18511, 2900, 533, 604, 352, 26019, 247, 1895, 597, 457, 250, 417, 1907, 1024, 13, 368, 2779, 1912, 457, 85, 755, 253, 7289, 15, 1422, 1364, 3037, 281, 9446, 253, 11280, 6298, 326, 2273, 38878, 247, 11091, 310, 4704, 281, 1379, 2250, 15, 187, 187, 3039, 368, 19148, 841, 1264, 12342, 285, 3359, 747, 4712, 275, 634, 2136, 13, 368, 457, 620, 320, 327, 253, 1039, 281, 13383, 625, 7942, 275, 253, 4310, 2, 187, 187, 2512, 403, 2067, 31341, 47091, 323, 1907, 247, 2136, 326, 14528, 368, 347, 1199, 347, 368, 2389, 1146, 247, 2136, 7302, 15, 187, 187, 1147, 457, 84, 39189, 281, 1448, 2496, 4834, 715, 18738, 1679, 685, 368, 17337, 984, 368, 457, 250, 594, 546, 312, 2149, 342, 253, 4473, 273, 1146, 247, 2136, 7302, 15, 187, 187, 510, 6612, 273, 352, 476, 320, 247, 1199, 1027, 2926, 15, 187, 187, 3039, 359, 3153, 275, 247, 1375, 273, 1448, 2035, 13, 359, 457, 620, 2997, 1679, 685, 359, 17337, 15, 844, 1691, 598, 342, 285, 31259, 3879, 326, 310, 417, 49598, 422, 281, 776, 973, 14, 11952, 15, 187, 187, 2598, 849, 513, 368, 871, 604, 634, 2136, 310, 1146, 2032, 281, 368, 32, 1359, 513, 368, 871, 604, 352, 457, 84, 8133, 368, 1840, 512, 2010, 32, 1359, 513, 368, 871, 604, 352, 651, 1379, 247, 16950, 323, 368, 32, 187, 187, 1628, 1276, 457, 84, 247, 2133, 281, 513, 32, 7521, 368, 1642, 15, 187, 187, 20768, 1752, 763, 6866, 285, 12656, 326, 588, 1581, 368, 281, 1421, 247, 14898, 326, 6381, 2731, 368, 15, 187, 187, 18, 15, 32946, 5809, 569, 187, 187, 20696, 1463, 7219, 13, 368, 812, 990, 598, 2444, 4768, 253, 2862, 807, 15, 2091, 368, 513, 634, 2136, 7219, 313, 5658, 7953, 513, 326, 1053, 457, 85, 368, 32, 582, 7617, 849, 1199, 673, 368, 971, 281, 1379, 745, 285, 840, 2972, 352, 562, 327, 634, 16832, 15, 1422, 1053, 457, 85, 452, 281, 871, 835, 368, 457 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 56, 3271, 1042, 362, 15, 49246, 3481, 22428, 44138, 31501, 15, 187, 187, 51, 6540, 443, 15, 411, 3271, 1042, 13, 2102, 1741, 1230, 285, 327, 2325, 14674, 273, 30109, 285, 2213, 677, 1346, 281, 990, 253, 3660, 275, 15732, 285, 253, 17538, 14216, 15732, 20000, 2956, 796, 7039, 13, 6043, 13, 187, 87, 15, 187, 13766, 3481, 22428, 44138, 48422, 7400, 13, 18252, 11879, 6291, 13, 15821, 273, 253, 6162, 17907, 19523, 37060, 13, 11918, 6911, 25845, 13, 15755, 272, 12743, 273, 6162, 17907, 37060, 9651, 13, 22389, 5490, 367, 3592, 261, 13, 22389, 10852, 416, 471, 15767, 13, 22389, 36883, 322, 1000, 8657, 13, 22389, 16358, 914, 292, 469, 285, 22389, 6086, 12146, 335, 376, 377, 13, 37209, 273, 253, 6162, 17907, 37060, 9651, 13, 12254, 187, 187, 510, 4743, 273, 253, 1302, 369, 8549, 407, 27, 353, 19038, 32704, 187, 187, 15157, 52, 32704, 13, 4412, 6798, 15, 187, 187, 19056, 13, 665, 402, 265, 15978, 285, 327, 11136, 273, 767, 8889, 534, 403, 10066, 281, 1986, 2077, 3646, 275, 15732, 13, 187, 11, 4174, 18, 3, 187, 2887, 661, 247, 36263, 3883, 326, 344, 320, 11460, 281, 16969, 3569, 10617, 6639, 275, 253, 2022, 7036, 9249, 285, 643, 10056, 1576, 273, 253, 37060, 16790, 5550, 18919, 989, 3, 11249, 10, 11658, 407, 253, 6162, 273, 1457, 2816, 17907, 5550, 11688, 17907, 3, 11249, 10, 387, 35661, 14216, 285, 3387, 394, 5720, 13, 21801, 13, 285, 908, 407, 253, 1345, 28, 285, 326, 253, 7159, 320, 23919, 967, 432, 42187, 824, 4712, 13, 47239, 779, 13, 10568, 779, 281, 4044, 9214, 281, 11377, 275, 824, 4712, 13, 390, 22528, 2977, 253, 1345, 407, 2710, 2097, 432, 18738, 824, 10617, 6639, 15, 187, 11, 4174, 19, 3, 187, 49864, 37420, 310, 1754, 327, 5976, 530, 15, 52, 15, 36, 15, 3015, 11299, 13, 3349, 530, 15, 52, 15, 36, 15, 20485, 14114, 18, 13, 13900, 20, 285, 374, 1252, 285, 253, 3973, 285, 39056, 44518, 942, 281, 253, 1986, 2077, 10350, 15, 380, 4676, 452, 2831, 14, 78, 3149, 323, 6010, 3883, 10376, 281, 7804, 8026, 13, 401, 15, 51, 15, 23429, 15, 49, 15, 187, 187, 25187, 6162, 17907, 310, 247, 1345, 13739, 3562, 275, 33531, 10376, 281, 247, 8566, 875, 1457, 2816, 285, 1457, 8911, 15, 43802, 2191, 434, 914, 5040, 49999, 28856, 273, 427, 15, 58, 15, 3015, 6705, 520, 13, 3015, 721, 20611, 15, 7850, 2136, 310, 5196, 407, 13265, 45504, 13, 2800, 273, 5207, 403, 11162, 407, 253, 2418, 273, 1457, 2816, 285, 2800, 273, 5207, 403, 11162, 407, 253, 2418, 273, 1457, 8911, 15, 20140, 15, 3015, 721, 20680, 15, 380, 6162, 17907, 13, 2190, 643, 1841, 13, 17209, 253, 37060, 534, 41358, 581, 2120, 2846, 2972, 875, 35661, 285, 32533, 329, 1261, 955, 285, 3387, 394, 285, 7609, 296, 30912, 1507, 275, 21801, 15, 380, 37060, 4428, 247, 1180, 273, 3672, 1527, 281, 253, 1345, 13, 1690, 247, 2022, 7036, 9249, 5512, 2456, 4669, 4618, 13, 271, 24311, 285, 247, 30854, 7036, 9249, 13, 247, 2201, 37049, 13032, 285, 2710, 749, 1576, 285, 2940, 1576, 15, 496, 1635, 13, 1561, 253, 37060, 627, 403, 1685, 1386, 13571, 33605, 13, 3668, 1676, 84, 13, 15114, 13, 33503, 8965, 13, 247, 35246, 1771, 13, 247, 2854, 11869, 13, 247, 2534, 13, 247, 43410, 31132, 13, 247, 4310, 13, 9140, 16999, 285, 2710, 643, 16999, 285, 44488, 534, 403, 1527, 281, 253, 2087, 1345, 15, 596, 35314, 273, 952, 897, 253, 37060, 9189, 327, 1016, 1388, 15, 1198, 1650, 13, 253, 3388, 1180, 273, 7732, 8136, 949, 253, 37060, 5312, 275, 19213, 369, 22750, 13, 933, 285, 327, 4565, 2164, 13, 19213, 13, 5512, 28325, 13, 933, 7732, 908, 253, 37060, 15, 6408, 18417, 689, 9934, 13, 933, 13, 933, 7732, 908, 253, 37060, 15, 733, 778, 973, 320, 253, 1685, 10558, 8351, 275, 253, 1533, 15, 187, 187, 510, 6162, 17907, 18922, 247, 3513, 3490, 323, 253, 4096, 273, 11850, 1340, 275, 253, 37060, 285, 37703, 6162, 17907, 4803, 285, 10132, 15, 380, 3490, 8414, 273, 247, 6832, 1180, 273, 6251, 9417, 762, 253, 20446, 273, 253, 15821, 273, 253, 37060, 13, 3257, 18252, 11879, 6291, 15, 380, 15821, 556, 17189, 2758, 273, 253, 6162, 17907, 434, 3513, 3490, 281, 5263, 667, 7732, 665, 3177, 281, 16969, 10617, 6639, 275, 253, 37060, 672, 597, 452, 644, 5868, 9214, 407, 253, 37060, 281, 513, 594, 285, 452, 644, 1677, 271, 5107, 281, 3553, 253, 37060, 15, 187, 187, 3404, 2710, 2069, 1309, 253, 2607, 273, 4437, 13, 4596, 285, 4565, 13, 19213, 13, 39288, 327, 6926, 39190, 13, 3482, 285, 1110, 2330, 342, 779, 452, 5939, 3345, 253, 854, 394, 14216, 13032, 281, 253, 37060, 10617, 6639, 7291, 3006, 776, 7295, 434, 11497, 275, 253, 15732, 2137, 15, 6043, 434, 4712, 13, 534, 452, 14278, 273, 35865, 562, 6239, 281, 7732, 327, 253, 1930, 45547, 3345, 253, 37060, 285, 13949, 15966, 275, 7827, 342, 3095, 665, 14545, 281, 1379, 247, 10617, 1059, 13, 452, 387, 512, 2069, 644, 5196, 275, 247, 19951, 285, 42062, 5133, 13, 3738, 597, 452, 327, 15530, 3977, 2571, 281, 1067, 562, 43680, 13, 3177, 281, 29720, 47325, 417, 281, 2997, 253, 10617, 6639, 13, 285, 327, 1740, 15530, 44848, 452, 644, 1160, 2220, 3482, 390, 581, 273, 521, 26624, 15, 187, 187, 2374, 253, 7237, 273, 4596, 721, 13, 19213, 13, 3482, 285, 2620, 643, 7732, 5966, 253, 37060, 285, 5939, 3569, 10617, 6639, 275, 247, 19951, 285, 42062, 5133, 275, 253, 29329, 285, 6179, 2170, 2822, 18488, 12708, 14, 12730, 327, 253, 5170, 1685, 1268, 323, 5512, 5096, 2909, 15, 9937, 253, 958, 326, 597, 275, 642, 1039, 734, 3850, 342, 253, 4866, 273, 7137, 275, 253, 37060, 13, 597, 497, 6726, 281, 3553, 407, 6162, 17907, 9651, 665, 13699, 616, 5263, 15, 1623, 4596, 2145, 285, 1384, 627, 497, 2074, 37102, 15, 187, 11, 4174, 20, 3, 187, 187, 3463, 4857, 15483, 4596, 1668, 13, 19213, 13, 3482, 13, 327, 521, 1211, 11136, 285, 327, 11136, 273, 253, 8889, 6607, 407, 779, 285, 616, 3858, 285, 14501, 13, 9521, 9214, 273, 253, 15821, 273, 253, 8351, 281, 16969, 3569, 1133 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 2208, 5575, 533, 4242, 281, 5276, 326, 5418, 14814, 35696, 253, 3437, 15, 50276, 1909, 5469, 1840, 13, 253, 1941, 369, 4209, 281, 1329, 253, 2208, 434, 11307, 15, 187, 187, 36, 15, 4137, 15412, 273, 253, 2102, 882, 420, 187, 187, 1047, 187, 15383, 14814, 35733, 326, 253, 17612, 369, 4688, 595, 22327, 984, 352, 858, 417, 24522, 253, 3603, 346, 14428, 5356, 3, 285, 346, 9993, 2279, 390, 9437, 281, 13194, 449, 50275, 1145, 17612, 1057, 417, 452, 281, 24522, 253, 3603, 275, 10799, 11315, 2426, 15, 50276, 41, 1530, 274, 362, 15, 1986, 2077, 13, 27360, 530, 15, 52, 15, 37955, 13, 34068, 13, 8073, 322, 15, 5229, 15, 38362, 13, 38627, 13, 10909, 418, 15, 3996, 15, 854, 3832, 313, 48184, 481, 50276, 34, 1385, 943, 320, 1239, 275, 697, 25983, 13, 1690, 697, 897, 273, 11315, 2593, 3904, 15, 50276, 11586, 2077, 362, 15, 1780, 442, 12727, 14, 36469, 2487, 13, 40355, 401, 15, 19, 69, 12643, 20, 13, 12643, 25, 13, 31268, 313, 22, 394, 4082, 11507, 5306, 15, 5868, 13, 35597, 530, 15, 52, 15, 898, 938, 13, 10694, 322, 15, 5229, 15, 29117, 13, 2456, 418, 15, 3996, 15, 19, 69, 32526, 313, 19813, 481, 50276, 7542, 253, 17612, 9648, 27226, 512, 253, 3603, 285, 3797, 253, 11315, 2593, 1180, 13, 359, 1089, 326, 352, 369, 417, 22327, 15, 187, 187, 37, 15, 5712, 5155, 327, 3545, 75, 1520, 6004, 5632, 187, 187, 1010, 187, 15383, 14814, 12148, 326, 521, 9611, 1364, 320, 13891, 984, 418, 25374, 13, 247, 2234, 2208, 5517, 13, 3534, 591, 75, 1520, 6206, 15, 50276, 1231, 588, 417, 9659, 247, 9611, 327, 246, 20354, 6206, 13, 533, 5418, 14814, 434, 9611, 369, 417, 1754, 327, 246, 20354, 6206, 15, 50276, 5035, 19926, 274, 6934, 362, 15, 1986, 2077, 13, 35362, 530, 15, 52, 15, 337, 13, 608, 13, 10484, 322, 15, 5229, 15, 337, 13, 495, 13, 337, 418, 15, 3996, 15, 19, 69, 337, 313, 38249, 481, 50276, 1992, 4044, 247, 21080, 327, 253, 9905, 326, 253, 2208, 15494, 327, 591, 75, 1520, 6206, 13, 253, 1563, 1364, 320, 2011, 27, 50276, 9, 18, 10, 253, 30983, 7234, 497, 2686, 3221, 13, 313, 19, 10, 253, 7234, 497, 2144, 13, 285, 313, 20, 10, 253, 14079, 3260, 326, 597, 497, 3221, 15, 50276, 11586, 2077, 362, 15, 775, 34499, 13, 818, 1671, 401, 15, 19, 69, 854, 1967, 13, 854, 3566, 313, 22, 394, 4082, 15, 15624, 481, 50276, 15383, 14814, 556, 417, 1313, 521, 7977, 327, 667, 273, 253, 3603, 15, 187, 187, 38, 15, 308, 3109, 273, 17724, 187, 187, 1036, 187, 15383, 14814, 8219, 326, 253, 2208, 13588, 521, 1955, 1232, 3570, 984, 352, 858, 417, 14510, 418, 25374, 434, 4936, 4984, 6206, 1919, 767, 1897, 1078, 2332, 285, 858, 417, 14510, 12578, 4572, 7211, 1919, 253, 14625, 4854, 15, 50276, 15383, 14814, 434, 4154, 310, 15785, 1417, 15, 50276, 11752, 253, 500, 2083, 661, 3162, 13, 1283, 530, 15, 52, 15, 36, 15, 5466, 15, 4791, 361, 13, 253, 2208, 310, 417, 2424, 281, 14510, 247, 5517, 434, 4936, 4984, 6206, 1919, 253, 5517, 556, 7859, 327, 1480, 8368, 15, 50276, 5035, 1283, 530, 15, 52, 15, 36, 15, 5466, 15, 4791, 361, 9, 66, 481, 50276, 688, 436, 1083, 13, 253, 2332, 1302, 6960, 253, 2208, 281, 1614, 689, 512, 500, 2083, 661, 3162, 2144, 253, 1388, 1078, 247, 5517, 369, 281, 18954, 15, 50276, 510, 2208, 35037, 342, 253, 1302, 1340, 285, 253, 500, 2083, 661, 3162, 407, 18723, 512, 500, 2083, 661, 3162, 2144, 767, 1897, 1078, 2332, 15, 50276, 510, 2208, 369, 417, 2424, 281, 14510, 253, 12578, 4572, 7211, 984, 597, 403, 417, 9413, 494, 15, 50276, 5035, 1986, 2077, 362, 15, 47445, 13, 854, 740, 401, 15, 19, 69, 40873, 13, 35302, 313, 22, 394, 4082, 11507, 5306, 15, 5868, 13, 40783, 530, 15, 52, 15, 898, 2417, 13, 13278, 322, 15, 5229, 15, 16176, 13, 10508, 418, 15, 3996, 15, 19, 69, 38516, 313, 15089, 481, 50276, 20964, 13, 253, 1302, 1160, 271, 275, 6568, 2278, 273, 253, 7211, 285, 1119, 326, 627, 369, 642, 385, 49262, 2473, 1941, 275, 731, 15, 187, 187, 39, 15, 7682, 451, 273, 5635, 888, 7855, 38308, 187, 187, 1166, 187, 15383, 14814, 12148, 326, 253, 13336, 273, 521, 3200, 323, 247, 747, 2332, 1293, 271, 26800, 4854, 369, 247, 1955, 1232, 8411, 15, 50276, 34, 3200, 323, 747, 2332, 778, 320, 12969, 327, 1293, 271, 26800, 4854, 13, 285, 253, 3061, 281, 2186, 247, 4854, 27945, 1561, 253, 3590, 8637, 273, 253, 2332, 1302, 15, 50276, 1779, 34499, 13, 818, 1671, 401, 15, 19, 69, 387, 854, 3655, 15, 50275, 1231, 1089, 642, 14011, 326, 253, 2332, 1302, 19848, 697, 8637, 15, 187, 187, 40, 15, 46338, 187, 187, 1093, 187, 510, 5780, 3374, 6388, 5418, 14814, 434, 6197, 15, 50276, 15383, 14814, 8219, 326, 313, 18, 10, 253, 1302, 14416, 407, 6240, 2620, 2792, 281, 521, 2613, 1268, 8399, 28, 50276, 9, 19, 10, 253, 1302, 943, 452, 3777, 521, 2613, 1268, 407, 1264, 2792, 984, 352, 12845, 6034, 13, 347, 10066, 281, 4588, 13, 2957, 28, 50276, 395, 313, 20, 10, 253, 1302, 14416, 275, 12672, 32551, 15, 535, 187, 746, 187, 18, 15, 50276, 25438, 14, 3659, 2572, 15, 50276, 11752, 253, 46338, 24620, 13, 4310, 9116, 556, 247, 2613, 1268, 273, 2800, 15, 50276, 5035, 530, 15, 52, 15, 52, 15, 40, 15, 5466, 15, 374, 39, 18, 15, 18, 9, 66, 481, 50276, 8997, 1215, 5319, 403, 2879, 281, 253, 2613, 1268, 7293, 327, 253, 2408, 273, 253, 2957, 23122, 407, 253, 5487, 15, 50276, 510, 2332, 1302, 2879, 2620, 2308, 984, 352, 3413, 326, 253, 2957, 369, 625, 685, 370, 1449, 13, 933, 533, 1679, 685, 370, 1967, 13, 933, 15, 50276, 688, 2403, 436, 7441, 13, 253, 2332, 1302, 2908, 253, 6034, 2957, 273, 253, 3437, 4816, 1619, 13, 44729, 10, 285, 6834, 434, 8128, 23122, 407, 253, 4310, 275, 21449, 5418, 14814, 434, 5079, 4176, 4816, 938, 13, 34802, 481, 535, 187, 938, 187, 15383, 14814, 8219, 326, 253, 9600, 513, 417, 37015 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 46, 4048, 1975, 285, 4179, 4616, 3607, 273, 30831, 285, 28138, 367, 20, 5324, 285, 15192, 4490, 53, 27, 16039, 432, 3762, 15, 187, 1231, 8338, 253, 5886, 875, 253, 21418, 285, 253, 4179, 4616, 3607, 273, 3488, 9, 20, 14, 15741, 1190, 394, 17591, 17866, 10, 313, 49, 20, 5324, 10, 285, 3488, 9, 19, 13, 22, 14, 24000, 9, 20, 14, 18573, 394, 17591, 864, 14, 19, 14, 1190, 10, 394, 1914, 80, 60, 20, 13, 19, 14, 67, 62, 394, 17591, 17866, 10, 313, 27440, 4490, 53, 10, 10236, 20147, 275, 1097, 30831, 285, 28138, 12475, 15, 6915, 5787, 8062, 281, 26065, 10713, 2221, 13101, 285, 253, 24336, 3762, 281, 12106, 253, 4616, 3607, 359, 1119, 326, 30831, 2718, 3148, 247, 3777, 7793, 16239, 1955, 281, 253, 2957, 273, 20641, 1420, 1340, 285, 8095, 14, 4134, 37444, 4283, 281, 247, 5141, 275, 253, 7051, 8789, 875, 767, 13178, 15, 496, 253, 9266, 3408, 13, 15192, 4490, 53, 12646, 247, 4067, 4179, 16239, 685, 367, 20, 5324, 1955, 281, 253, 734, 11174, 3535, 273, 253, 1930, 13178, 22474, 253, 7882, 273, 253, 33502, 14445, 327, 253, 896, 47473, 15, 831, 625, 6474, 8095, 14, 4134, 37444, 11355, 253, 28378, 8984, 342, 1675, 281, 367, 20, 5324, 285, 5459, 253, 7051, 8789, 15, 496, 4499, 13, 275, 253, 30831, 3408, 13, 15192, 4490, 53, 12646, 247, 3777, 4179, 16239, 342, 1675, 281, 367, 20, 5324, 1955, 281, 253, 5928, 273, 1930, 13178, 7660, 281, 253, 289, 1914, 837, 17591, 864, 265, 13, 534, 5459, 616, 15113, 285, 253, 28378, 8984, 15, 496, 1635, 13, 359, 921, 326, 352, 310, 1896, 281, 10173, 253, 40386, 2341, 18369, 272, 253, 1930, 13178, 273, 253, 20147, 285, 3021, 13868, 15180, 673, 15, 15092, 436, 11193, 13, 359, 2797, 16239, 2193, 11038, 253, 5661, 6341, 13, 3021, 24025, 326, 253, 1930, 13178, 403, 9560, 281, 5281, 253, 15448, 273, 253, 33973, 2718, 533, 403, 417, 3206, 275, 253, 4179, 4616, 1232, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	331
[ 0, 320, 34090, 4197, 15, 187, 23135, 13, 352, 310, 271, 1789, 273, 253, 1246, 3688, 281, 4711, 275, 15613, 552, 4787, 299, 1028, 552, 3875, 390, 643, 6895, 17359, 27743, 28735, 534, 513, 417, 452, 247, 10258, 41568, 16558, 387, 253, 427, 14, 40691, 15, 187, 1147, 310, 1529, 1789, 273, 253, 3688, 281, 4711, 275, 15613, 552, 4787, 299, 1028, 552, 3875, 390, 643, 6895, 17359, 27743, 28735, 326, 513, 417, 2430, 275, 7991, 5162, 281, 5386, 247, 10258, 41568, 432, 253, 427, 14, 40691, 15, 187, 16812, 1529, 1789, 273, 253, 3688, 310, 281, 2085, 247, 1332, 323, 3275, 275, 15613, 552, 4787, 273, 299, 1028, 552, 3875, 390, 643, 6895, 17359, 27743, 28735, 326, 452, 271, 427, 14, 14104, 47665, 1293, 253, 878, 323, 275, 7991, 5162, 15, 187, 8195, 1789, 273, 253, 3688, 310, 281, 4711, 275, 15613, 552, 4787, 299, 1028, 552, 3875, 390, 643, 6895, 17359, 27743, 28735, 326, 452, 253, 8898, 3527, 3425, 9093, 253, 1072, 347, 247, 10748, 14, 30714, 804, 2601, 534, 1057, 417, 452, 271, 427, 14, 14104, 10258, 41568, 15, 187, 34, 2007, 1789, 273, 253, 3688, 310, 281, 2085, 247, 1332, 273, 9603, 275, 15613, 552, 4787, 27743, 28735, 1907, 253, 8898, 3527, 3425, 1119, 275, 14242, 299, 1028, 552, 3875, 27743, 28735, 824, 347, 270, 12677, 9, 34, 13, 45, 582, 270, 12677, 9, 34, 13, 55, 10, 285, 268, 12677, 9, 34, 481, 187, 1147, 310, 247, 1335, 2007, 1789, 273, 253, 3688, 281, 2085, 270, 12677, 9, 34, 13, 45, 582, 270, 12677, 9, 34, 13, 55, 10, 390, 268, 12677, 9, 34, 10, 9619, 1959, 273, 4324, 273, 21963, 390, 43320, 6510, 13, 2975, 15, 380, 270, 12677, 27743, 28735, 4197, 407, 3082, 273, 253, 1246, 3688, 2085, 247, 2097, 323, 13741, 15544, 824, 1260, 255, 41916, 249, 4712, 347, 2559, 8463, 3275, 13, 3116, 2281, 285, 16, 263, 3997, 6733, 15, 187, 6872, 285, 643, 5113, 273, 253, 3688, 588, 320, 625, 4751, 5165, 432, 253, 1563, 2087, 285, 7000, 5740, 273, 253, 3688, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	344
[ 0, 1532, 187, 15834, 27, 686, 12412, 14, 15507, 18217, 313, 41, 7611, 10, 10924, 588, 2489, 247, 2234, 4735, 4516, 407, 17497, 13120, 5511, 2718, 15, 380, 3629, 4831, 323, 388, 7611, 10924, 5644, 281, 1534, 4116, 327, 253, 1263, 273, 5553, 7741, 4323, 313, 14253, 46, 582, 534, 13276, 5919, 7741, 19575, 285, 5520, 985, 3045, 15, 21077, 46, 2216, 310, 247, 11132, 1895, 1955, 281, 6895, 11426, 3290, 273, 2579, 313, 50, 37791, 10, 6095, 285, 7870, 5319, 273, 388, 7611, 11744, 10924, 15, 380, 8103, 273, 436, 2929, 310, 281, 2085, 271, 18389, 327, 253, 2234, 3374, 326, 12893, 275, 253, 21077, 46, 2216, 323, 388, 7611, 11744, 10924, 15, 329, 7000, 5740, 273, 388, 7611, 5511, 2718, 310, 806, 3559, 13, 3560, 407, 271, 10199, 327, 388, 7611, 5048, 3210, 285, 5319, 13, 534, 403, 12232, 281, 253, 2831, 14, 12026, 21077, 46, 2216, 15, 2635, 359, 2085, 247, 6239, 6630, 327, 1375, 14, 1171, 14, 783, 14, 435, 21077, 46, 15849, 323, 388, 7611, 11744, 10924, 13, 342, 271, 275, 14, 16719, 5955, 327, 2710, 21077, 46, 7794, 1690, 11341, 1453, 13, 16239, 4323, 13, 1612, 1453, 285, 7741, 17621, 15, 6610, 13, 436, 2929, 36264, 253, 1655, 7881, 285, 1527, 3374, 275, 253, 2170, 273, 21077, 46, 2216, 323, 388, 7611, 11744, 10924, 2464, 187, 7582, 27, 187, 14, 1040, 187, 50274, 52, 24176, 71, 1205, 42291, 13, 35230, 44325, 13, 3452, 49673, 13, 22114, 563, 74, 34336, 543, 61, 187, 50274, 5443, 10030, 18196, 273, 13480, 39215, 9175, 285, 18731, 61, 187, 50274, 4678, 16741, 500, 571, 302, 543, 2499, 13, 18496, 13, 367, 15, 416, 15, 4135, 61, 187, 50274, 17835, 27, 1202, 464, 1156, 92, 89, 6091, 14619, 13, 305, 91, 11917, 13, 1766, 2284, 13, 1182, 13838, 20122, 543, 37299, 33, 35744, 16853, 15, 13808, 15, 14340, 187, 34424, 27, 187, 14, 686, 7676, 2582, 41, 7611, 14, 14102, 3942, 15, 2383, 8, 187, 5564, 27, 686, 34, 17136, 327, 4855, 14, 30475, 23419, 21506, 27, 329, 13951, 22106, 11354, 10400, 4911, 8, 187, 1532, 187, 187, 9264, 4814, 12113, 9264, 1128, 12412, 14, 15507, 18217, 10924, 13, 388, 7611, 13, 5553, 7741, 4323, 13, 21077, 46, 13, 13757, 2216, 15, 187, 187, 14214, 187, 7770, 187, 187, 2214, 253, 1390, 767, 8007, 13, 17497, 13120, 2718, 313, 24265, 10, 452, 13082, 347, 271, 5919, 1039, 273, 11138, 253, 3045, 273, 13120, 2718, 15, 1284, 271, 5667, 3284, 273, 37879, 13, 1029, 14, 15507, 18217, 313, 41, 7611, 10, 556, 644, 3715, 9086, 347, 247, 3809, 13, 11638, 285, 4759, 1345, 13120, 985, 285, 651, 2489, 253, 2852, 9058, 273, 18217, 13120, 11762, 1008, 47, 272, 14, 7330, 1570, 1198, 4227, 13, 247, 1029, 3885, 8087, 2098, 556, 644, 18627, 275, 3968, 285, 253, 2978, 273, 388, 7611, 3104, 275, 4135, 588, 3986, 1283, 13, 933, 10771, 407, 9169, 1008, 31061, 14, 6755, 1570, 2726, 253, 5415, 5140, 273, 388, 7611, 275, 3332, 1107, 13, 253, 2523, 273, 6194, 4254, 5252, 556, 17755, 625, 285, 625, 4116, 15, 380, 6194, 4254, 1453, 985, 7120, 247, 2234, 2554, 275, 6194, 4254, 5252, 285, 310, 12258, 347, 253, 11083, 4055, 273, 253, 388, 7611, 985, 15, 329, 2629, 556, 644, 873, 598, 323, 253, 6194, 4254, 1453, 985, 13, 534, 310, 1929, 347, 5284, 29712, 9175, 4155, 313, 2025, 5166, 10, 1008, 34, 74, 14, 6759, 28, 1214, 37, 13306, 14, 6759, 1570, 496, 1340, 281, 1056, 17464, 5166, 789, 1805, 285, 2794, 247, 5865, 2629, 323, 18217, 10924, 13, 247, 9940, 6109, 5511, 985, 1925, 253, 4156, 985, 323, 6109, 10924, 323, 18217, 313, 40, 6955, 14, 51, 10, 556, 644, 4081, 407, 5625, 6398, 273, 23419, 313, 45717, 10, 1008, 59, 73, 543, 14, 7857, 1570, 187, 187, 40, 6955, 14, 51, 556, 644, 7561, 908, 275, 388, 7611, 10924, 285, 476, 6558, 247, 9630, 5511, 3048, 875, 253, 6194, 285, 253, 3216, 15, 1723, 13, 443, 6955, 14, 51, 556, 690, 2201, 35387, 13, 824, 347, 12497, 5350, 13, 1698, 2990, 19575, 13, 285, 3710, 1329, 323, 941, 3238, 1008, 52, 8311, 5102, 14, 6759, 1570, 329, 31170, 11744, 5511, 985, 323, 388, 7611, 1925, 1048, 14, 3945, 5606, 323, 18217, 313, 45, 5428, 14, 51, 10, 556, 644, 3559, 275, 1008, 35147, 321, 14, 7857, 28, 1214, 40, 8500, 14, 7199, 62, 285, 3413, 275, 253, 818, 394, 3645, 5759, 327, 4855, 14, 30475, 13480, 1008, 8469, 266, 14, 7330, 1570, 13796, 4152, 11744, 10924, 476, 7278, 253, 6194, 4254, 407, 6941, 271, 4254, 4055, 281, 5724, 1524, 14, 2606, 6194, 14, 4919, 941, 1491, 13, 824, 347, 5252, 1491, 285, 3540, 10401, 1491, 1008, 49, 609, 262, 14, 6755, 1570, 496, 1635, 281, 253, 6194, 1453, 941, 6322, 13, 40509, 14, 51, 310, 671, 3264, 281, 2085, 15828, 3238, 824, 347, 7336, 2289, 285, 1029, 14, 15177, 6109, 3492, 32380, 1008, 34, 74, 14, 6759, 28, 1214, 7912, 9111, 14, 7199, 28, 1214, 37, 13306, 14, 6759, 1570, 2726, 253, 5649, 273, 352, 13, 16479, 476, 1555, 616, 9455, 347, 247, 45871, 6880, 273, 616, 2444, 390, 27335, 3126, 15, 187, 187, 1992, 3157, 253, 5350, 323, 11744, 10924, 327, 253, 6194, 13, 253, 2852, 388, 7611, 5511, 6928, 403, 3264, 281, 320, 22766, 342, 247, 7802, 273, 1027, 6928, 285, 5553, 2289, 10296, 326, 476, 320, 10486, 19197, 407, 8307, 273, 4212, 327, 253, 6194, 1008, 39, 536, 360, 14, 7199, 28, 1214, 36378, 14, 7199, 1570, 1198, 4227, 13, 253, 22766, 2990, 10336, 476, 320, 2783, 347, 247, 5019, 273, 15109, 2990, 13, 7842, 2990, 285, 11744, 941, 2990, 1008, 49, 609, 262, 14, 6755, 1092, 835, 253, 5750, 273, 1016, 2289, 2990, 476, 320, 2668, 715, 8180, 15, 831, 27934, 14314, 2112, 342, 253, 7269, 5511, 10296, 824, 347, 2709, 14, 5423, 2709, 14, 9252, 313, 46, 44293, 582, 19627, 4294, 14, 41952, 25993, 272, 313, 10327, 9042, 10, 285, 5553, 689, 9538, 313, 22052, 39, 582, 588, 2085, 1029, 19737, 5350, 285, 1029, 9879, 6733, 15, 12257, 13, 253, 4831, 323, 388, 7611, 11744, 10924, 310, 9592, 5675, 13, 323, 1650, 13, 253, 5998, 11744, 5511 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 11540, 1877, 273, 10545, 5771, 275, 10741, 21885, 407, 9128, 14, 7527, 10603, 273, 9464, 1265, 4375, 15, 187, 510, 3745, 281, 3711, 9464, 1265, 4375, 310, 4619, 323, 2175, 273, 3320, 7248, 285, 323, 8137, 273, 4460, 31719, 15, 44347, 5771, 14, 14571, 310, 2223, 12497, 323, 8137, 273, 9464, 1265, 4375, 1955, 281, 1698, 7031, 285, 16, 263, 5771, 5162, 3394, 15, 844, 452, 3715, 247, 4122, 7996, 13, 9128, 14, 7527, 1332, 323, 5481, 273, 9464, 1265, 4375, 275, 9574, 15, 831, 1332, 4648, 3676, 12184, 273, 17060, 13747, 281, 4271, 9464, 1265, 4375, 342, 23186, 13005, 387, 18379, 6064, 15, 3856, 13, 359, 6266, 253, 2898, 273, 436, 1332, 323, 9464, 1265, 2670, 8137, 275, 47129, 14347, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	124
[ 0, 29758, 318, 273, 247, 23390, 853, 6532, 2380, 285, 697, 2954, 281, 4038, 8670, 483, 285, 5024, 14, 6790, 1025, 4438, 14523, 15, 187, 37, 2741, 8670, 483, 285, 5024, 14, 6790, 1025, 4438, 313, 3887, 46, 10, 14523, 407, 3732, 295, 30, 19, 5212, 4910, 275, 1698, 14, 14641, 1297, 1319, 399, 8296, 14, 37, 12733, 284, 403, 2011, 281, 320, 9578, 342, 253, 9777, 273, 253, 6532, 2380, 8877, 327, 253, 1029, 14, 3423, 1930, 313, 41, 7864, 10, 273, 253, 5212, 7844, 533, 417, 253, 1698, 14, 3423, 1930, 313, 45, 7864, 10, 4260, 13568, 15, 2053, 5799, 6128, 403, 247, 1480, 6814, 273, 247, 23390, 26306, 5212, 6532, 2380, 13, 342, 1016, 2605, 36498, 9049, 407, 247, 1027, 295, 30, 19, 3732, 6637, 285, 36498, 5189, 327, 253, 418, 7864, 390, 388, 7864, 15, 17315, 267, 285, 11623, 422, 10973, 80, 14, 8724, 19681, 313, 46, 10536, 10, 10426, 1089, 326, 253, 418, 7864, 6814, 310, 8558, 7996, 281, 253, 16820, 273, 6474, 465, 750, 10006, 13, 1223, 253, 388, 7864, 6814, 310, 8558, 7996, 281, 28808, 18476, 313, 20094, 4751, 41435, 390, 10571, 23532, 456, 481, 380, 28808, 18476, 403, 3746, 7052, 7321, 407, 465, 750, 16820, 13, 342, 253, 8654, 3732, 1673, 11288, 323, 8670, 483, 285, 11642, 46, 14523, 3012, 26704, 432, 12902, 1673, 12420, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	225
[ 0, 17, 558, 187, 94, 187, 187, 48924, 10428, 187, 87, 17922, 59, 4658, 6586, 5065, 32232, 1450, 95, 87, 17922, 59, 4658, 6586, 5065, 32232, 1082, 187, 92, 187, 50276, 16435, 436, 1168, 32352, 254, 28, 187, 94, 187, 187, 48924, 10428, 187, 4353, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 4531, 43228, 28274, 10715, 9, 565, 4438, 10, 187, 92, 187, 50276, 2520, 1168, 43228, 28274, 10715, 426, 4438, 28, 187, 50276, 2520, 1168, 32352, 254, 1168, 4531, 43228, 28274, 10715, 9, 9561, 558, 187, 50276, 2520, 1168, 37765, 1874, 187, 94, 187, 187, 48924, 10428, 187, 565, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 3633, 6573, 16929, 1082, 187, 92, 187, 50276, 2309, 436, 1168, 32352, 254, 1168, 3633, 17031, 2618, 1874, 187, 94, 187, 187, 48924, 10428, 187, 4353, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 4531, 6573, 16929, 9, 565, 29180, 2618, 10, 187, 92, 187, 50276, 338, 313, 6113, 2618, 654, 470, 2785, 29180, 2618, 2239, 608, 10, 187, 50276, 92, 187, 50274, 87, 17922, 24979, 13815, 287, 9, 14193, 346, 19504, 9472, 16929, 346, 5291, 29180, 2618, 5291, 40923, 187, 50258, 14193, 346, 510, 3588, 2491, 310, 544, 17, 608, 62, 23715, 187, 50274, 2309, 28, 187, 50276, 94, 187, 50276, 2520, 1168, 32352, 254, 1168, 4531, 17031, 2618, 9, 6113, 2618, 558, 187, 50276, 2520, 1168, 37765, 1874, 187, 94, 187, 187, 48924, 10428, 187, 565, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 3633, 998, 7417, 29858, 1082, 187, 92, 187, 50276, 2309, 436, 1168, 32352, 254, 1168, 3633, 998, 7417, 29858, 1874, 187, 94, 187, 187, 48924, 10428, 187, 4353, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 4531, 998, 7417, 29858, 9, 565, 3708, 10, 187, 92, 187, 50276, 2520, 1168, 32352, 254, 1168, 4531, 998, 7417, 29858, 9, 8581, 558, 187, 50276, 2520, 1168, 37765, 1874, 187, 94, 187, 187, 48924, 10428, 187, 565, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 5065, 560, 1082, 187, 92, 187, 50276, 338, 45496, 2520, 1168, 8982, 3857, 436, 1168, 11021, 1228, 187, 50276, 92, 187, 50274, 87, 17922, 24979, 13815, 287, 1587, 41909, 19477, 6325, 3280, 390, 3453, 5189, 23715, 187, 50274, 2309, 36989, 44, 64, 12641, 28, 187, 50276, 94, 535, 50276, 605, 4410, 6977, 3295, 2317, 285, 11705, 9765, 604, 9521, 15, 187, 50276, 10790, 1018, 11, 275, 6586, 28, 187, 50276, 565, 1959, 688, 6586, 28, 187, 50276, 87, 17922, 2618, 2548, 275, 6586, 5496, 28, 187, 50276, 565, 275, 6586, 2115, 793, 28, 187, 50276, 2520, 1168, 32352, 254, 1168, 7420, 12919, 9, 2520, 1168, 8982, 13, 275, 6586, 13, 275, 6586, 2115, 793, 13, 275, 6586, 5496, 13, 1959, 688, 6586, 558, 535, 50276, 605, 3631, 560, 187, 50276, 86, 12486, 71, 562, 6586, 5496, 426, 4228, 64, 4008, 29, 86, 12486, 71, 8743, 18, 15, 2874, 475, 275, 6586, 5496, 559, 1722, 558, 187, 50276, 605, 1182, 4658, 4419, 2233, 15, 18, 6, 559, 1668, 13, 337, 12243, 323, 11705, 9765, 187, 50276, 10790, 1018, 11, 562, 6586, 426, 4228, 64, 4008, 29, 10790, 1018, 46802, 44754, 9, 483, 6586, 5496, 4027, 187, 50276, 483, 6586, 60, 17, 62, 426, 275, 6586, 2115, 793, 28, 187, 50276, 42693, 19, 4464, 19117, 71, 11, 2769, 483, 6586, 559, 337, 582, 708, 483, 6586, 5496, 13, 313, 3474, 24128, 71, 5627, 249, 6586, 13, 275, 6586, 5496, 13, 187, 50274, 2520, 1168, 5065, 1256, 13019, 558, 535, 50276, 605, 30454, 21012, 941, 275, 247, 362, 17922, 1789, 15, 187, 50276, 2520, 1168, 11021, 1168, 4531, 6542, 9, 483, 6586, 13, 562, 6586, 5496, 559, 337, 13, 470, 558, 187, 50276, 2520, 1168, 11021, 1168, 4531, 8447, 4527, 40333, 9, 18, 558, 187, 50276, 2520, 1168, 11021, 1168, 4531, 8447, 4527, 37675, 1868, 9, 483, 6586, 5496, 559, 337, 558, 535, 50276, 605, 24373, 598, 846, 638, 14, 856, 550, 265, 375, 263, 15, 187, 50276, 338, 313, 4924, 688, 6586, 10, 187, 50276, 92, 187, 50274, 4924, 9, 249, 6586, 558, 187, 50276, 94, 535, 50276, 2309, 36989, 44, 64, 10249, 28, 187, 94, 187, 187, 48924, 10428, 187, 565, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 3848, 42693, 1082, 187, 92, 187, 50276, 338, 45496, 2520, 1168, 8982, 3857, 436, 1168, 11021, 1228, 187, 50276, 92, 187, 50274, 87, 17922, 24979, 13815, 287, 1587, 41909, 30572, 560, 6325, 3280, 390, 3453, 5189, 23715, 187, 50274, 2309, 36989, 44, 64, 12641, 28, 187, 50276, 94, 535, 50276, 605, 1979, 3280, 15, 187, 50276, 10790, 1018, 11, 509, 3351, 426, 436, 1168, 8982, 1168, 3633, 11732, 9, 18, 558, 187, 50276, 3474, 362, 17922, 2618, 2548, 509, 3351, 5496, 426, 436, 1168, 8982, 1168, 3633, 8447, 4527, 37675, 1868, 1082, 428, 337, 28, 535, 50276, 605, 30572, 560, 15, 187, 50276, 86, 12486, 71, 30572, 3351, 5496, 426, 187, 50274, 4659, 64, 4008, 29, 86, 12486, 71, 8743, 2520, 1168, 11021, 1168, 3633, 8447, 4527, 40333, 1082, 475, 436, 1168, 11021, 1168, 3633, 8447, 4527, 37675, 1868, 6020, 187, 50276, 10790, 1018, 11, 30572, 3351, 426, 436, 1168, 11021, 1168, 3633, 11732, 9, 17, 558, 187, 50276, 328, 42693, 4464, 19117, 71, 5627, 615, 3118, 3351, 13, 708, 615, 3118, 3351, 5496, 13, 313, 3474, 24128, 71, 5627, 3118, 3351, 13, 509, 3351, 5496, 558, 535, 50276, 605, 42137, 638, 14, 856, 550, 859, 272, 15, 187, 50276, 3474, 540, 30572, 3351, 2115, 793, 426, 313, 2520, 1168, 3633, 998, 7417, 29858, 1082, 3736, 495, 1163, 577, 558, 187, 50276, 10790, 1018, 1030, 11, 30572, 3351, 7689, 426, 30572, 3351, 559, 30572, 3351, 5496, 28, 187, 50276, 2520, 1168, 32352, 254, 1168, 8983, 12919, 9, 615, 3118, 3351, 13, 30572, 3351, 7689, 13, 30572, 3351, 2115, 793, 13, 436, 1168, 11021, 558, 535, 50276, 2309, 36989, 44, 64, 10249, 28, 187, 94, 187, 187, 48924, 10428, 187, 4353, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 17964, 11909, 9, 87, 17922, 22495, 12919, 8093, 11, 5542, 10, 187, 92, 187, 50276, 87, 17922, 6586, 5065, 32232, 1450, 17964, 11909, 9, 4963, 558, 187, 50276, 11, 4963, 5291, 436, 1168, 5065, 1256, 13019, 5291, 436, 1168, 3633, 6573 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 34, 10084, 17647, 281, 2601, 23205, 15, 187, 510, 36966, 13178, 326, 1056, 598, 4324, 452, 6763, 273, 10917, 285, 7613, 9790, 273, 1896, 734, 14, 16807, 6355, 15, 733, 1537, 320, 6326, 326, 253, 4795, 10454, 651, 1056, 10554, 273, 2601, 2605, 285, 2601, 14, 8089, 272, 6297, 4829, 7479, 15, 1292, 253, 7936, 12057, 6944, 23205, 778, 320, 1199, 19554, 685, 436, 10454, 651, 1421, 441, 281, 1902, 23205, 4142, 285, 6297, 3176, 281, 320, 8127, 3413, 407, 253, 18080, 273, 253, 7925, 313, 8089, 264, 10, 1375, 13, 285, 747, 3082, 452, 2011, 1270, 9023, 275, 21565, 2601, 14, 8089, 272, 6297, 285, 253, 1264, 14, 6967, 5289, 273, 4324, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	116
[ 0, 37, 2373, 7322, 9066, 273, 45613, 501, 263, 5620, 3017, 7011, 432, 253, 14818, 2996, 8248, 273, 4058, 280, 1514, 2827, 249, 584, 360, 27, 2264, 5132, 6628, 273, 617, 280, 257, 2487, 329, 13, 378, 13, 285, 309, 13, 617, 280, 257, 3017, 378, 14, 37, 13, 285, 2827, 249, 9661, 968, 329, 285, 378, 15, 187, 12481, 5132, 6628, 273, 608, 17035, 285, 818, 17035, 39998, 1025, 21974, 38593, 501, 263, 32990, 684, 7011, 432, 253, 14818, 2996, 8248, 273, 4058, 280, 1514, 2827, 249, 584, 360, 285, 253, 43923, 11048, 273, 247, 2951, 250, 360, 3417, 497, 6786, 15, 3824, 9066, 3386, 3538, 47159, 273, 247, 43364, 5164, 1025, 608, 17035, 39998, 1025, 21974, 38593, 268, 18563, 504, 347, 247, 1846, 10444, 13, 534, 369, 2797, 407, 659, 4002, 8789, 875, 253, 268, 18563, 504, 5161, 285, 253, 1930, 5931, 13, 715, 247, 2962, 273, 3626, 3580, 407, 34249, 5164, 1387, 49373, 15, 380, 9560, 330, 22, 17035, 26649, 13175, 369, 8038, 387, 253, 3302, 3924, 407, 9348, 16499, 407, 271, 5898, 14, 951, 4692, 5105, 9356, 4040, 25704, 15, 4325, 247, 1846, 13506, 10444, 13, 4314, 2264, 5132, 6628, 1690, 617, 280, 257, 2487, 329, 13, 378, 13, 285, 309, 13, 617, 280, 257, 3017, 378, 14, 37, 13, 285, 2827, 249, 9661, 968, 329, 285, 378, 497, 6786, 313, 15521, 257, 311, 378, 285, 2827, 249, 9661, 249, 378, 497, 17791, 347, 7393, 358, 684, 481, 380, 2605, 273, 617, 280, 257, 531, 378, 4232, 275, 253, 12940, 2929, 369, 29472, 26374, 17265, 347, 253, 6315, 1190, 810, 900, 261, 8056, 387, 253, 16184, 312, 37772, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	274
[ 0, 14, 746, 5224, 326, 604, 253, 24762, 13844, 4500, 310, 7616, 13, 346, 964, 964, 964, 840, 253, 11578, 14, 5251, 6307, 15345, 1080, 13718, 19, 12013, 3081, 1491, 281, 253, 11578, 15557, 23408, 14114, 25, 449, 15, 313, 36, 3027, 310, 271, 913, 1406, 1105, 323, 3631, 6731, 5383, 8613, 12675, 318, 2698, 29085, 8988, 13, 3104, 8978, 14, 3571, 5224, 326, 253, 11578, 14, 13019, 23408, 14114, 25, 310, 19890, 281, 253, 17963, 10444, 6779, 21990, 13, 533, 253, 1698, 1268, 23408, 14114, 25, 310, 417, 6805, 8572, 9238, 313, 74, 15, 70, 904, 310, 2303, 7976, 481, 29085, 8988, 13, 3104, 9654, 14, 2082, 1375, 5742, 326, 253, 11578, 14, 13019, 23408, 14114, 25, 310, 7976, 2220, 253, 1798, 10336, 273, 253, 2303, 4382, 5147, 15, 187, 14131, 13, 5293, 273, 253, 10414, 326, 17611, 897, 273, 9812, 2127, 275, 4602, 342, 509, 30526, 3176, 281, 3587, 2953, 253, 12748, 3559, 407, 253, 686, 30651, 9469, 285, 253, 388, 14669, 21410, 13, 5469, 1840, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	170
[ 0, 15, 27501, 2203, 14, 1968, 568, 1470, 18, 10148, 20794, 662, 64, 737, 1420, 1657, 15, 793, 910, 3429, 568, 22, 15, 22, 3591, 986, 187, 187, 3138, 510, 2806, 285, 3168, 10659, 275, 253, 1755, 5370, 2722, 253, 1393, 66, 1196, 273, 38876, 285, 697, 14445, 313, 11872, 36809, 339, 2201, 7844, 426, 7127, 15440, 387, 253, 23657, 273, 253, 3921, 57, 8643, 14, 44557, 4622, 7313, 275, 3821, 15, 6752, 313, 783, 1859, 275, 5826, 369, 1077, 2074, 481, 496, 253, 1264, 10688, 12471, 403, 3921, 57, 8643, 14, 44557, 4622, 16602, 1864, 14, 16077, 3888, 273, 38876, 275, 253, 470, 15, 20, 1108, 470, 15, 25, 33052, 3961, 323, 3821, 15, 6752, 313, 3956, 582, 22551, 15, 9204, 313, 16389, 10, 285, 3821, 15, 5826, 313, 10492, 481, 6061, 446, 7655, 275, 3168, 403, 3436, 668, 9941, 14240, 1399, 433, 327, 253, 8859, 13, 38352, 2996, 253, 2170, 908, 323, 9879, 11998, 15, 380, 1979, 273, 253, 10659, 285, 273, 253, 3888, 310, 5571, 668, 1269, 5571, 7521, 285, 253, 16602, 1864, 14, 16077, 2460, 15115, 403, 273, 374, 15, 26, 668, 1930, 313, 19846, 310, 387, 253, 1755, 285, 5791, 281, 253, 1669, 481, 733, 310, 2590, 326, 253, 8859, 369, 1594, 14, 1402, 43719, 275, 6752, 285, 5075, 383, 13, 275, 958, 36568, 264, 13, 275, 3821, 15, 5826, 15, 27501, 2203, 14, 1968, 568, 1470, 18, 10148, 22354, 662, 64, 10600, 64, 17, 64, 19, 64, 27663, 15, 793, 910, 3429, 568, 22, 15, 22, 3591, 986, 187, 187, 3138, 510, 2806, 285, 3168, 10659, 275, 253, 1755, 5370, 2722, 253, 1393, 66, 1196, 273, 38876, 285, 697, 14445, 313, 11872, 36809, 339, 2201, 7844, 426, 7127, 15440, 387, 253, 23657, 273, 253, 3921, 57, 8643, 14, 44557, 4622, 7313, 275, 3821, 15, 6752, 313, 783, 1859, 275, 5826, 369, 1077, 2074, 481, 496, 253, 1264, 10688, 12471, 403, 3921, 57, 8643, 14, 44557, 4622, 16602, 1864, 14, 16077, 3888, 273, 38876, 275, 253, 470, 15, 20, 1108, 470, 15, 25, 33052, 3961, 323, 3821, 15, 6752, 313, 3956, 582, 22551, 15, 9204, 313, 16389, 10, 285, 3821, 15, 5826, 313, 10492, 481, 6061, 446, 7655, 275, 3168, 403, 3436, 668, 9941, 14240, 1399, 433, 327, 253, 8859, 13, 38352, 2996, 253, 2170, 908, 323, 9879, 11998, 15, 380, 1979, 273, 253, 10659, 285, 273, 253, 3888, 310, 5571, 668, 1269, 5571, 7521, 285, 253, 16602, 1864, 14, 16077, 2460, 15115, 403, 273, 374, 15, 26, 668, 1930, 313, 19846, 310, 387, 253, 1755, 285, 5791, 281, 253, 1669, 481, 733, 310, 2590, 326, 253, 8859, 369, 1594, 14, 1402, 43719, 275, 6752, 285, 5075, 383, 13, 275, 958, 36568, 264, 13, 275, 3821, 15, 5826, 15, 27501, 2203, 14, 1968, 568, 1470, 18, 10148, 22354, 662, 64, 10600, 64, 18, 64, 19, 64, 27663, 15, 793, 910, 3429, 568, 22, 15, 22, 3591, 986, 187, 187, 3138, 510, 2806, 285, 3168, 10659, 275, 253, 1755, 5370, 2722, 253, 1393, 66, 1196, 273, 38876, 285, 697, 14445, 313, 11872, 36809, 339, 2201, 7844, 426, 7127, 15440, 387, 253, 23657, 273, 253, 3921, 57, 8643, 14, 44557, 4622, 7313, 275, 3821, 15, 6752, 313, 783, 1859, 275, 5826, 369, 1077, 2074, 481, 496, 253, 1264, 10688, 12471, 403, 3921, 57, 8643, 14, 44557, 4622, 16602, 1864, 14, 16077, 3888, 273, 38876, 275, 253, 470, 15, 20, 1108, 470, 15, 25, 33052, 3961, 323, 3821, 15, 6752, 313, 3956, 582, 22551, 15, 9204, 313, 16389, 10, 285, 3821, 15, 5826, 313, 10492, 481, 6061, 446, 7655, 275, 3168, 403, 3436, 668, 9941, 14240, 1399, 433, 327, 253, 8859, 13, 38352, 2996, 253, 2170, 908, 323, 9879, 11998, 15, 380, 1979, 273, 253, 10659, 285, 273, 253, 3888, 310, 5571, 668, 1269, 5571, 7521, 285, 253, 16602, 1864, 14, 16077, 2460, 15115, 403, 273, 374, 15, 26, 668, 1930, 313, 19846, 310, 387, 253, 1755, 285, 5791, 281, 253, 1669, 481, 733, 310, 2590, 326, 253, 8859, 369, 1594, 14, 1402, 43719, 275, 6752, 285, 5075, 383, 13, 275, 958, 36568, 264, 13, 275, 3821, 15, 5826, 15, 27501, 2203, 14, 1968, 568, 1470, 18, 10148, 22354, 662, 64, 10600, 64, 20, 64, 21, 64, 27663, 15, 793, 910, 3429, 568, 22, 15, 22, 3591, 986, 187, 187, 510, 767, 3921, 57, 8643, 14, 44557, 4622, 5826, 7313, 13, 347, 973, 347, 253, 4222, 2401, 581, 432, 6752, 13, 497, 11742, 285, 15626, 275, 247, 6447, 8142, 762, 33918, 313, 34191, 10330, 9107, 10, 362, 15, 818, 15, 18, 28, 253, 6752, 8310, 313, 47, 405, 1162, 355, 15, 1008, 47, 405, 64, 89, 3291, 574, 1620, 644, 11742, 275, 436, 1024, 2629, 1039, 13, 984, 273, 253, 3480, 13, 387, 253, 673, 13, 273, 9940, 3694, 281, 294, 14, 15905, 253, 3921, 57, 8643, 14, 44557, 4622, 3394, 275, 253, 1551, 3665, 273, 247, 4886, 2303, 15, 2732, 436, 369, 2218, 323, 253, 1264, 38876, 15302, 13, 3888, 387, 253, 4328, 273, 253, 8859, 497, 8818, 342, 253, 941, 432, 253, 16602, 1864, 14693, 15, 2667, 15, 337, 2722, 253, 16602, 1864, 14, 16077, 3888, 273, 38876, 275, 253, 2341, 2491, 470, 15, 20, 1108, 470, 15, 25, 33052, 323, 253, 3921, 57, 8643, 14, 44557, 4622, 7313, 337, 313, 3956, 273, 253, 10688, 12471, 582, 374, 313, 16389, 10, 285, 495, 313, 10492, 28, 253, 8859, 310, 36568, 264, 327, 436, 8120, 481, 6061, 7334, 281, 1016, 2460, 13, 387, 253, 25662, 4328, 273, 253, 8859, 457, 84, 9145, 13, 310, 247, 3168, 9096, 273, 3436, 668, 9941, 15, 2058, 253, 1755, 273, 2667, 15, 337, 310, 247, 10659, 4645, 253, 1393, 66, 1196, 273, 38876, 285, 697, 14445, 275, 3821, 15, 6752, 313, 783, 1859, 13, 342, 253, 3684, 45724, 440, 706, 2855, 264, 13, 369, 1077, 2074, 275, 22551, 15, 285, 3821, 15, 5826, 481, 187, 187, 4509, 5304, 5301, 273, 253, 1264, 12471, 275, 2667, 15, 337, 352, 310, 2590, 326, 253, 8859, 369, 1594, 14, 1402, 43719, 275, 6752, 13, 3317, 961, 275, 22551, 15, 5826, 285, 5075, 383, 13, 275, 958, 36568, 264, 13, 275, 3821, 15, 5826, 313, 2887, 4706, 15, 495 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 25046, 4126, 17251, 187, 187, 4943, 1680, 1737, 844, 308, 744, 2030, 13145, 84, 285, 21790, 27, 21305, 6625, 406, 10037, 2, 187, 187, 7093, 11684, 281, 253, 1755, 4481, 4413, 281, 3523, 4848, 406, 10037, 310, 6153, 247, 1524, 23357, 2190, 1755, 21790, 2, 187, 187, 1231, 816, 1694, 745, 253, 4481, 342, 15572, 273, 670, 2030, 1375, 16010, 2087, 285, 247, 3167, 273, 4400, 2208, 11009, 13, 1690, 253, 7671, 21506, 5399, 313, 39, 2648, 582, 253, 7671, 17061, 5399, 313, 5518, 36, 582, 285, 253, 4487, 273, 8293, 313, 13220, 43, 481, 1583, 2546, 441, 281, 10078, 275, 247, 8059, 1067, 13, 984, 597, 3078, 281, 4089, 752, 11349, 1158, 670, 25824, 4848, 406, 10037, 15, 844, 8549, 634, 3935, 27, 7108, 971, 285, 878, 271, 990, 281, 4848, 406, 10037, 1024, 2, 187, 187, 1231, 457, 250, 2403, 1943, 10212, 342, 253, 3108, 15738, 665, 476, 1361, 281, 990, 4848, 406, 10037, 15, 844, 457, 306, 644, 10922, 562, 281, 4413, 665, 452, 247, 13841, 275, 253, 4848, 406, 10037, 2523, 13, 13817, 11597, 13, 23830, 13, 4400, 21790, 13, 285, 253, 16010, 2087, 665, 452, 15257, 644, 2444, 281, 2007, 776, 2847, 15, 187, 187, 1898, 984, 273, 634, 16400, 1329, 13, 841, 3108, 15738, 403, 11298, 15, 20058, 13, 359, 457, 306, 3562, 14779, 10254, 15, 6061, 1052, 13, 933, 4481, 6383, 452, 7416, 253, 4544, 387, 990, 18848, 406, 10037, 15, 2061, 15, 11505, 4963, 3420, 310, 8871, 598, 253, 2926, 13, 285, 359, 457, 306, 644, 4854, 432, 37244, 285, 21790, 1512, 15, 187, 187, 1231, 497, 12470, 281, 436, 4804, 984, 273, 634, 46509, 6031, 15, 46755, 15738, 285, 3061, 22741, 403, 6523, 253, 3668, 6281, 326, 436, 310, 247, 3809, 5675, 4866, 15, 11239, 368, 323, 512, 326, 368, 452, 2218, 285, 588, 513, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	307
[ 0, 68, 560, 13, 36475, 13, 285, 26994, 31108, 10, 285, 1114, 406, 302, 313, 84, 2061, 18256, 10, 37002, 2479, 9190, 361, 2385, 2194, 1008, 9190, 361, 1540, 2194, 1008, 9190, 361, 2950, 2498, 380, 2752, 34, 8638, 273, 8357, 1981, 3116, 310, 3103, 8943, 323, 247, 4618, 2491, 273, 32983, 285, 17177, 3417, 13, 347, 973, 347, 323, 16529, 26994, 31108, 2796, 37327, 30147, 6027, 2399, 3296, 571, 5627, 323, 534, 253, 12107, 1055, 273, 475, 46, 15, 305, 1079, 11, 1411, 11492, 310, 4390, 1146, 6949, 275, 253, 17493, 15, 187, 187, 1147, 556, 644, 4081, 326, 2752, 34, 310, 271, 7374, 77, 10888, 342, 247, 4460, 4438, 273, 2250, 13, 533, 1077, 1652, 310, 1929, 670, 253, 1039, 275, 534, 2752, 34, 21425, 8357, 47438, 15, 1008, 9190, 361, 2950, 62, 1119, 326, 2752, 34, 734, 453, 373, 342, 19483, 26132, 13, 1049, 21945, 17313, 3275, 13, 285, 990, 375, 33309, 1729, 49060, 1309, 253, 3563, 3408, 273, 475, 45, 15, 2206, 400, 360, 11, 8357, 47438, 275, 5415, 1708, 285, 387, 8654, 2515, 323, 1824, 13797, 15, 3856, 13, 275, 19767, 789, 13, 14006, 403, 4824, 562, 281, 3653, 849, 6938, 26638, 313, 19001, 1255, 285, 29190, 18509, 1824, 2442, 10, 2818, 2752, 34, 8638, 275, 1340, 281, 30955, 697, 2570, 285, 2440, 595, 13527, 4438, 273, 2250, 15, 733, 310, 2011, 326, 2752, 34, 734, 453, 373, 342, 2067, 2234, 6297, 4768, 253, 2644, 1232, 273, 8357, 47438, 285, 326, 697, 16294, 1055, 310, 762, 2266, 6938, 1453, 15, 733, 369, 1119, 326, 253, 2538, 273, 2752, 34, 327, 8357, 47438, 403, 7052, 45253, 275, 13862, 2429, 342, 1708, 15, 5488, 13, 352, 310, 2011, 326, 253, 1077, 2393, 4870, 273, 3302, 26223, 516, 2383, 539, 13, 347, 973, 347, 1071, 66, 25566, 13, 403, 247, 2201, 2303, 323, 2752, 34, 1309, 253, 2393, 3408, 273, 47438, 15, 6408, 253, 3563, 3408, 273, 47438, 13, 352, 310, 5183, 1060, 407, 11745, 1783, 326, 26223, 3116, 285, 5787, 6297, 2905, 281, 894, 7466, 3116, 273, 253, 1985, 2024, 283, 35040, 406, 302, 1190, 7844, 13, 347, 973, 347, 990, 375, 33309, 1729, 49060, 403, 5876, 407, 2752, 34, 15, 380, 5460, 3486, 273, 6938, 26638, 824, 347, 1824, 14384, 4073, 285, 1708, 2515, 327, 253, 2538, 273, 2752, 34, 3559, 1060, 310, 4845, 715, 247, 35377, 1566, 281, 5513, 253, 2570, 6355, 275, 4602, 342, 253, 10038, 16946, 8673, 9503, 273, 2752, 34, 347, 271, 7374, 77, 10888, 273, 475, 46, 15, 305, 1079, 11, 1774, 323, 253, 15644, 281, 10802, 14, 1087, 531, 33890, 15, 187, 187, 22025, 285, 3082, 1712, 84, 19, 94, 187, 18613, 187, 187, 29816, 1515, 2515, 285, 45140, 14, 4774, 6341, 1712, 84, 20, 94, 187, 48904, 187, 187, 3220, 34, 313, 81, 5051, 8994, 1525, 9498, 10375, 285, 15134, 347, 2529, 407, 1008, 9190, 361, 2385, 1092, 369, 1006, 4087, 2530, 407, 12734, 443, 15, 1176, 442, 13, 330, 1410, 47, 13, 2499, 285, 18526, 6453, 13, 42268, 13, 6181, 13, 285, 908, 347, 247, 26492, 5739, 13, 3969, 281, 470, 15, 1671, 6, 313, 87, 16, 87, 10, 26492, 275, 253, 4646, 604, 608, 6027, 740, 26678, 21, 63, 353, 2752, 34, 369, 908, 15, 3323, 1515, 273, 846, 14, 7417, 2348, 12922, 273, 475, 45, 15, 2206, 400, 360, 11, 418, 15, 7499, 1047, 12196, 9499, 14381, 856, 859, 257, 1383, 9218, 74, 8754, 10, 369, 15626, 970, 1264, 24945, 273, 2456, 12922, 591, 898, 3591, 8939, 363, 11609, 4508, 767, 8090, 273, 5806, 2929, 285, 721, 1686, 273, 25850, 13, 35755, 1824, 342, 470, 15, 1671, 6, 313, 87, 16, 87, 10, 26492, 12196, 5707, 4646, 3401, 2479, 9190, 361, 2950, 2498, 1023, 5797, 497, 10729, 387, 1283, 11758, 36, 275, 247, 322, 1279, 80, 25403, 12596, 20316, 6004, 23119, 313, 4132, 51, 14, 16552, 10, 275, 5415, 3168, 1708, 42419, 1976, 9804, 17071, 256, 26678, 18, 63, 278, 26678, 19, 41825, 329, 10269, 26292, 36167, 17199, 369, 908, 281, 4868, 253, 26026, 273, 1071, 66, 285, 990, 375, 33309, 31430, 273, 253, 8357, 7625, 15, 367, 27206, 14, 4774, 6341, 2479, 9190, 361, 2945, 3291, 497, 908, 323, 2677, 5411, 990, 375, 33309, 1729, 49060, 15, 1198, 1963, 14, 390, 4408, 14, 6160, 6260, 13, 2644, 19019, 13, 38026, 313, 12973, 581, 14, 19016, 273, 253, 3500, 406, 302, 1190, 283, 4614, 2024, 7844, 10, 390, 21141, 313, 6185, 1658, 1190, 274, 990, 375, 33309, 10, 7944, 497, 908, 432, 12922, 19703, 1071, 66, 31430, 533, 417, 990, 375, 33309, 31430, 15, 187, 187, 30731, 610, 80, 1979, 6341, 1712, 84, 21, 94, 187, 26043, 187, 187, 32702, 555, 12922, 323, 1016, 941, 1127, 497, 516, 2383, 264, 342, 1027, 6299, 273, 37352, 22471, 313, 21459, 10, 721, 933, 313, 29916, 28230, 13, 12604, 5200, 579, 248, 13, 6176, 10, 285, 19019, 9257, 10375, 387, 253, 2069, 4860, 15, 19096, 610, 375, 497, 9495, 4830, 247, 2806, 25757, 5340, 285, 3888, 497, 2668, 342, 247, 10269, 26292, 36167, 17199, 313, 4015, 3737, 353, 59, 11140, 10, 4802, 281, 247, 5865, 6568, 313, 4015, 3737, 399, 6739, 21980, 10, 387, 1384, 14, 8089, 28358, 970, 2070, 3737, 10744, 9138, 3694, 313, 55, 21, 15, 17, 3727, 13718, 481, 19388, 14, 12496, 14, 2713, 33270, 3888, 387, 247, 6064, 273, 2030, 1549, 6027, 39134, 12275, 313, 29206, 4809, 4313, 30, 18, 10, 497, 9809, 275, 27703, 3269, 5981, 15, 10882, 1783, 369, 2684, 970, 253, 10882, 43, 3268, 401, 27520, 16616, 2413, 1358, 71, 27520, 15, 1026, 16, 16123, 16, 4663, 15, 5581, 16, 39, 27520, 22226, 342, 253, 10882, 43, 10295, 2715, 337, 15, 1857, 83, 15, 11977, 9436, 281, 854, 14, 2713, 3888, 13, 7887, 272, 369, 2684, 970, 253, 17252, 596, 6842, 15191, 362, 18, 15, 1047, 16616, 2413, 1358, 71, 27520, 15, 1026, 16, 16123, 16, 4663, 15, 5581, 16, 22156, 64, 48993, 22226, 9009, 275, 401, 27520, 15, 380, 17252, 596, 6842, 15191, 476, 10269, 274, 907, 854, 14, 2713, 3888, 970, 2710, 4156, 313, 15700, 12935, 14, 13472, 10, 7887, 272, 11333, 15, 380, 686, 9671, 8, 5933, 369, 4236, 323, 7887, 272, 13 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 13689, 272, 285, 42428, 27, 8339, 10491, 310, 247, 6654, 875, 6733, 285, 2228, 14, 44571, 15, 187, 510, 1655, 1263, 2340, 684, 253, 4103, 6070, 281, 534, 1491, 11839, 285, 7219, 6733, 7102, 1491, 14, 48027, 8130, 275, 247, 9162, 4836, 15, 13036, 2561, 556, 8042, 281, 253, 6349, 273, 5912, 6351, 13, 253, 4248, 281, 534, 10491, 247, 4735, 11355, 253, 4839, 273, 2228, 13, 275, 22349, 835, 5014, 403, 11096, 281, 581, 3410, 15, 844, 16387, 5014, 347, 597, 19958, 1491, 275, 271, 48566, 3634, 285, 5950, 1880, 597, 3407, 616, 3186, 342, 247, 1029, 6351, 4735, 390, 271, 5919, 4735, 326, 9142, 4136, 323, 11184, 3530, 591, 2332, 15, 21666, 9013, 281, 3410, 253, 625, 5919, 4735, 806, 13, 3340, 672, 4735, 1491, 574, 247, 2169, 2289, 2105, 313, 18139, 2092, 337, 481, 2091, 2289, 4815, 497, 512, 533, 17527, 970, 5130, 14, 40111, 313, 18139, 2092, 374, 582, 5014, 8, 4993, 569, 1335, 21947, 6733, 689, 1029, 5912, 6351, 13, 2167, 5912, 6351, 369, 2011, 281, 4833, 2289, 6127, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	177
[ 0, 273, 370, 46, 61, 3549, 884, 63, 21, 5, 3907, 1524, 5904, 5180, 20, 62, 310, 1077, 1355, 15, 844, 897, 275, 776, 4679, 253, 1180, 370, 76, 64, 85, 30, 21, 15, 20, 1352, 5838, 326, 247, 4217, 370, 76, 64, 85, 5, 588, 1818, 7293, 327, 253, 1979, 273, 253, 15115, 4103, 281, 253, 1979, 273, 253, 2644, 5028, 13, 390, 39406, 13, 327, 253, 1318, 273, 370, 81, 1352, 313, 1231, 588, 45735, 436, 13515, 2698, 844, 1056, 253, 1750, 326, 247, 2603, 556, 644, 5189, 604, 271, 32459, 595, 1029, 1180, 370, 79, 5, 273, 3104, 1509, 949, 247, 12275, 370, 35, 1366, 326, 310, 13, 604, 370, 79, 2239, 295, 64, 85, 3843, 393, 1906, 559, 465, 64, 85, 393, 2592, 1352, 187, 187, 510, 5912, 273, 387, 1878, 370, 79, 64, 85, 5, 3104, 14270, 370, 35, 5, 1955, 281, 3632, 4606, 310, 5512, 370, 83, 64, 85, 3843, 470, 15, 22, 393, 4820, 92, 254, 12964, 1603, 76, 64, 85, 6602, 2609, 92, 19, 17137, 21525, 715, 2395, 253, 1180, 273, 15115, 370, 46, 1366, 253, 5912, 273, 387, 1878, 370, 79, 64, 85, 5, 3104, 14270, 387, 1878, 581, 273, 253, 15115, 1955, 281, 3632, 4606, 313, 66, 773, 424, 7750, 2762, 424, 15440, 476, 320, 34930, 407, 1764, 6190, 92, 16983, 2281, 94, 426, 337, 428, 313, 18, 14, 83, 64, 85, 7415, 46, 10878, 380, 1401, 5672, 4016, 424, 2281, 310, 840, 1677, 407, 669, 6190, 92, 14543, 2281, 94, 426, 337, 428, 393, 6190, 92, 16983, 2281, 724, 390, 1764, 6165, 3843, 393, 6190, 92, 14543, 2281, 94, 426, 393, 6190, 92, 39943, 94, 3843, 313, 18, 428, 391, 64, 85, 7415, 46, 94, 426, 393, 1274, 60, 18, 428, 470, 15, 22, 393, 4820, 92, 254, 12964, 889, 1274, 9, 76, 64, 85, 1227, 393, 2609, 92, 19, 889, 918, 1572, 918, 30522, 46, 10878, 3954, 3551, 896, 281, 253, 1318, 273, 370, 76, 64, 85, 1366, 9428, 359, 971, 281, 452, 247, 5927, 7162, 1268, 669, 6165, 393, 249, 313, 17, 13, 18, 3822, 2635, 370, 76, 64, 85, 5, 1364, 10517, 3318, 76, 64, 85, 2239, 393, 2609, 92, 19, 94, 11549, 393, 4820, 92, 254, 12964, 11444, 18, 94, 393, 1274, 60, 19, 61, 1274, 9, 18, 428, 393, 6165, 768, 18, 32095, 46, 3080, 918, 1572, 918, 44524, 1198, 1650, 13, 604, 359, 878, 247, 2032, 4016, 2281, 273, 387, 1878, 370, 1525, 27212, 285, 359, 452, 370, 46, 30, 884, 63, 21, 5, 15115, 13, 840, 359, 878, 281, 5206, 370, 76, 64, 85, 2239, 577, 15, 38464, 1352, 1310, 359, 403, 10048, 342, 247, 2032, 4016, 2281, 273, 760, 370, 2270, 27212, 285, 452, 816, 370, 46, 426, 884, 63, 20, 5, 15115, 13, 840, 370, 76, 64, 85, 2239, 495, 15, 28166, 5, 588, 36433, 15, 28285, 326, 370, 46, 5, 310, 7976, 327, 370, 81, 1366, 594, 359, 476, 3185, 3630, 275, 253, 11370, 323, 370, 76, 64, 85, 5, 347, 3318, 76, 64, 85, 2239, 393, 2609, 92, 19, 94, 11549, 393, 4820, 92, 254, 12964, 11444, 18, 94, 393, 1274, 60, 19, 61, 1274, 9, 18, 428, 393, 6165, 768, 81, 63, 19, 6602, 2059, 889, 918, 1572, 918, 44524, 17766, 326, 436, 8180, 310, 1335, 3588, 672, 6332, 275, 3884, 7441, 403, 1246, 187, 187, 4125, 1908, 253, 5912, 273, 5816, 247, 2603, 326, 310, 1246, 15, 3856, 6332, 1537, 1132, 1534, 2554, 15, 22883, 326, 359, 452, 271, 475, 66, 30400, 11, 4023, 30844, 6642, 323, 370, 79, 64, 84, 1352, 496, 669, 2592, 5, 5085, 13, 370, 79, 64, 84, 426, 465, 64, 84, 393, 2592, 5, 835, 370, 76, 64, 84, 5, 310, 247, 2762, 3638, 285, 669, 2592, 5, 310, 253, 2629, 11254, 273, 253, 3268, 273, 253, 1180, 273, 4114, 24102, 8136, 949, 247, 12275, 15, 1723, 13, 1580, 776, 13562, 556, 6332, 275, 697, 6341, 13, 417, 512, 273, 253, 5189, 2603, 6353, 5189, 403, 896, 16589, 949, 253, 12275, 4508, 253, 2603, 15, 1281, 669, 1637, 5, 320, 253, 2629, 11254, 273, 253, 2228, 273, 253, 12336, 6814, 15, 2635, 604, 247, 8091, 310, 23128, 432, 247, 2603, 3304, 247, 12275, 370, 35, 5, 285, 310, 5189, 327, 253, 13765, 3781, 13, 253, 5912, 326, 352, 588, 320, 896, 16589, 949, 370, 35, 64, 83, 5, 310, 2905, 281, 253, 1979, 273, 253, 12275, 370, 83, 1366, 253, 4181, 432, 253, 7548, 370, 69, 1366, 285, 253, 2629, 11254, 273, 253, 12336, 2228, 669, 1637, 1352, 3932, 253, 4328, 273, 253, 2603, 310, 417, 1929, 475, 66, 30400, 2992, 359, 513, 417, 871, 752, 370, 69, 5, 310, 15, 11680, 253, 9065, 1083, 1650, 835, 370, 69, 426, 416, 5, 313, 338, 253, 2603, 310, 2810, 281, 253, 7548, 13, 5481, 310, 6927, 481, 2635, 253, 5189, 8091, 310, 896, 16589, 949, 370, 35, 5, 604, 285, 760, 604, 669, 3124, 654, 393, 274, 291, 266, 313, 83, 16, 51, 10, 426, 393, 274, 291, 266, 268, 1352, 1281, 370, 36, 9, 81, 1337, 1637, 1009, 320, 2931, 347, 3318, 36, 9, 81, 1337, 1637, 38132, 393, 1124, 92, 18, 1217, 19, 889, 4820, 92, 254, 71, 889, 1274, 1035, 1124, 464, 274, 291, 266, 268, 2704, 2609, 92, 19, 889, 1637, 889, 918, 11127, 831, 1180, 310, 253, 5912, 326, 1677, 253, 2622, 3268, 370, 47, 9, 17, 1337, 1637, 1009, 273, 12336, 6332, 13, 253, 896, 12378, 273, 247, 8091, 11999, 949, 253, 12275, 370, 35, 5, 313, 3529, 310, 13, 604, 669, 3124, 654, 393, 274, 291, 266, 268, 14553, 2635, 13, 1955, 281, 253, 2228, 13, 760, 670, 370, 187, 79, 64, 84, 8, 426, 330, 9, 81, 1337, 1637, 10, 295, 64, 84, 426, 465, 64, 84, 8, 393, 2592, 187, 5, 4114, 6353, 778, 320, 16589, 949, 12275, 370, 35, 64, 83, 1352, 3824, 1071, 34472, 247, 2603, 387, 370, 35, 5, 604, 370, 79, 426, 295, 64, 84, 8, 559, 295, 64, 67, 2239, 393, 1906, 559, 465, 64, 85, 393, 2592, 1366, 594, 352, 588, 2985, 352, 604, 370, 79, 64, 67, 654, 393, 1906 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 4015, 1226, 5332, 292, 10540, 16061, 187, 187, 4015, 1226, 5332, 292, 10540, 16061, 310, 247, 8210, 3085, 6828, 407, 5119, 1605, 36, 1584, 1952, 15, 380, 3085, 8599, 253, 2926, 273, 17502, 25856, 313, 3251, 266, 28887, 20338, 10, 665, 5605, 281, 1089, 2032, 2389, 342, 10035, 313, 13238, 12679, 27991, 582, 247, 23639, 13, 13847, 5662, 637, 665, 25856, 1313, 327, 247, 581, 14, 6170, 1462, 15, 50276, 46, 750, 659, 1306, 432, 41438, 48895, 285, 28255, 13541, 23898, 7120, 5794, 460, 13, 285, 5079, 3570, 22531, 17771, 611, 429, 7120, 247, 2210, 80, 273, 2994, 15, 187, 187, 1147, 310, 253, 806, 3085, 407, 1605, 36, 1584, 1952, 534, 11521, 3345, 273, 35377, 14459, 39831, 15, 187, 187, 7504, 4859, 187, 187, 1413, 27, 7878, 23641, 14, 4919, 6590, 187, 1413, 27, 12430, 6590, 187, 1413, 27, 13435, 84, 23641, 14, 4919, 6590, 187, 1413, 27, 7878, 6590, 187, 1413, 27, 14376, 14, 12982, 6590, 187, 1413, 27, 32159, 873, 275, 8742, 9757, 187, 1413, 27, 32159, 6828, 407, 5119, 1605, 36, 1584, 1952, 187, 1413, 27, 13435, 84, 14562, 6590, 187, 1413, 27, 45, 20318, 14, 4919, 14562, 6590, 187, 1413, 27, 7878, 14562, 6590, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	201
[ 0, 35421, 4715, 2746, 28, 313, 2886, 10, 8131, 31701, 16, 10927, 281, 260, 1562, 412, 3358, 16, 20039, 1562, 412, 3358, 1971, 970, 22296, 5145, 3250, 28269, 3082, 326, 2783, 3382, 285, 11214, 2646, 4986, 941, 432, 253, 367, 6217, 47, 3250, 2300, 3299, 2332, 347, 23403, 4903, 28, 285, 313, 12211, 10, 37372, 17618, 841, 3110, 9959, 285, 7605, 16, 28936, 3250, 28269, 3210, 970, 941, 432, 253, 18374, 5666, 17012, 14255, 3993, 281, 5712, 12876, 27675, 313, 45897, 3458, 37, 60, 805, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 26313, 910, 709, 14, 881, 568, 709, 7547, 285, 253, 5625, 13575, 4873, 37120, 2646, 19177, 42849, 313, 1830, 5077, 60, 1012, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 28059, 910, 709, 14, 881, 568, 709, 7547, 15302, 15, 2053, 6260, 403, 2825, 3250, 1344, 255, 1245, 13, 1677, 253, 4232, 1941, 273, 2825, 3910, 275, 253, 8996, 273, 9454, 285, 3629, 1941, 273, 2825, 3910, 275, 33950, 386, 2380, 15, 544, 883, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 23643, 910, 709, 14, 881, 568, 709, 4982, 544, 1047, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 28835, 910, 709, 14, 881, 568, 709, 4982, 544, 1010, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 22140, 910, 709, 14, 881, 568, 709, 4982, 544, 1036, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 29407, 910, 709, 14, 881, 568, 709, 4982, 544, 1166, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 31202, 910, 709, 14, 881, 568, 709, 4982, 544, 1093, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 31272, 910, 709, 14, 881, 568, 709, 4982, 544, 746, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 33416, 910, 709, 14, 881, 568, 709, 4982, 544, 938, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 20515, 910, 709, 14, 881, 568, 709, 4982, 544, 1797, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 39060, 910, 709, 14, 881, 568, 709, 986, 187, 187, 3138, 510, 767, 3250, 13311, 1783, 24824, 15, 3824, 1783, 24824, 20311, 275, 767, 8661, 15, 496, 3924, 337, 13, 359, 3636, 27909, 19831, 12147, 9959, 275, 253, 42870, 30442, 37120, 2646, 19177, 5489, 10701, 9422, 32013, 386, 3050, 8518, 37120, 2646, 4986, 12602, 313, 49, 6217, 47, 3250, 2300, 3299, 10, 10895, 13, 11794, 323, 1821, 285, 2255, 13, 970, 247, 941, 3250, 17477, 2746, 313, 13311, 337, 34, 558, 359, 840, 17618, 1110, 9959, 970, 941, 432, 18374, 5666, 17012, 14255, 3993, 281, 5712, 12876, 27675, 313, 45897, 3458, 37, 10, 285, 5625, 13575, 4873, 37120, 2646, 19177, 42849, 313, 1830, 5077, 28, 3924, 337, 35, 481, 38182, 326, 22266, 253, 17618, 27909, 19831, 9959, 497, 3636, 275, 3924, 337, 36, 15, 496, 3924, 374, 13, 15970, 3210, 497, 3715, 970, 367, 6217, 47, 3250, 2300, 3299, 941, 285, 497, 37372, 17618, 970, 3915, 1277, 3458, 37, 285, 4110, 5077, 941, 15, 388, 4976, 52, 13, 9516, 27675, 36485, 14446, 28, 1165, 15782, 3250, 36, 13, 22637, 43515, 273, 3315, 8122, 40561, 16692, 1497, 28, 9947, 30948, 13, 322, 23744, 3689, 24649, 473, 735, 312, 4906, 6439, 2271, 5774, 5305, 53, 14, 12971, 14, 31013, 14, 72, 2874, 4253, 68, 431, 1047, 3507, 14, 926, 14, 5831, 94, 187, 187, 510, 11214, 2646, 4986, 20896, 2908, 275, 253, 1246, 1263, 403, 2800, 19208, 275, 390, 2822, 253, 475, 53, 4350, 1539, 22, 11, 313, 2967, 10655, 18467, 1812, 582, 475, 947, 23959, 20, 11, 313, 2967, 30651, 34769, 582, 475, 2573, 18446, 18, 11, 313, 2967, 38503, 1706, 2251, 13, 14208, 23735, 883, 1229, 13, 285, 14208, 1630, 17758, 2357, 582, 285, 475, 34, 9914, 11, 313, 2967, 1166, 1012, 1976, 2526, 10, 3608, 15, 5815, 273, 841, 19208, 497, 253, 346, 3956, 3, 20231, 275, 697, 9056, 9128, 4363, 5864, 1263, 313, 31663, 1719, 10, 20231, 2625, 13, 3707, 326, 323, 475, 2573, 18446, 18, 2992, 359, 2908, 253, 346, 3956, 3, 20231, 347, 973, 347, 767, 2571, 275, 1027, 40603, 8336, 15, 380, 23765, 1719, 574, 908, 347, 21903, 6532, 34818, 285, 465, 1362, 39771, 460, 6299, 38284, 275, 367, 6217, 47, 3250, 2300, 3299, 3530, 4681, 1423, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 28484, 910, 709, 14, 881, 568, 709, 4982, 544, 1508, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 34063, 910, 709, 14, 881, 568, 709, 986, 4683, 253, 6532, 19789, 38284, 275, 1110, 1363, 13, 34818, 285, 465, 1362, 39771, 460, 6299, 497, 253, 954, 4122, 2330, 342, 13575, 4873, 6973, 387, 854, 575, 24464, 60, 1423, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 28484, 910, 709, 14, 881, 568, 709, 986, 390, 342, 8245, 27909, 19831, 12147, 1532, 531, 273, 253, 954, 1774, 23477, 273, 27585, 33950, 386, 1971, 2380, 4681, 1508, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 34063, 910, 709, 14, 881, 568, 709, 986, 380, 2898, 273, 247, 2561, 5700, 326, 3206, 253, 897, 273, 7218, 19177, 281, 346, 22433, 3, 730, 19177, 6607, 247, 3213, 2584, 253, 11250, 273, 7534, 941, 313, 74, 15, 70, 904, 32184, 6299, 2330, 342, 6973, 582, 275, 271, 3434, 281, 2118, 4457, 253, 5899, 13716, 11498, 908, 275, 24414, 610, 313, 70, 15, 72, 904, 253, 9516, 27675, 36485, 14446, 313, 41, 4976, 52, 10, 285, 253, 22637, 43515, 273, 3315, 8122, 40561, 16692, 1497, 313, 50, 15782, 3250, 36, 5029, 41925, 5164, 14421, 2175, 2692, 326, 23471, 273, 1097, 308, 4350, 1539, 22, 285, 7220, 23959, 20, 275, 23586, 595, 6012, 894, 3104, 7369, 275, 6137, 34818, 275, 253, 894, 4466, 3420, 13, 285, 326, 16663, 275, 253, 2048, 273, 1097, 6202, 18446, 18, 285, 329, 9914, 812, 4833, 465, 1362, 39771, 460, 26132, 347, 973, 347, 253, 2538, 273, 32837, 273, 10696, 17555, 26, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 24133, 910, 709, 14, 881, 568, 709, 4982, 544, 740, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 17553, 910, 709, 14, 881, 568, 709, 986, 247, 1232, 326, 556, 644, 2011, 281, 1132, 271, 1774, 2554, 275, 10399, 37, 42405, 4681, 1348, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 33713, 910, 709, 14, 881, 568, 709 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	1,024
[ 0, 585, 1209, 2224, 347, 973, 347, 247, 4302, 5333, 15, 380, 5502, 281, 2990, 3492, 310, 247, 6612, 347, 6383, 1379, 5750, 273, 12112, 187, 13980, 285, 3492, 13234, 15, 1284, 3988, 4323, 689, 253, 8153, 2990, 35205, 285, 9260, 13789, 2118, 562, 281, 2990, 12583, 11987, 2718, 187, 187, 28412, 6386, 273, 25537, 6617, 15, 16688, 253, 1533, 6657, 275, 2990, 3492, 380, 1533, 273, 19714, 310, 6890, 15, 3105, 13234, 21208, 261, 187, 1542, 247, 2852, 14, 16314, 985, 15, 21208, 261, 556, 1048, 2793, 275, 2990, 3492, 5482, 6276, 253, 5502, 432, 7370, 281, 5865, 15, 8153, 187, 187, 12847, 64, 49017, 64, 2504, 11395, 64, 257, 64, 805, 2125, 64, 4213, 15, 9275, 399, 19674, 2990, 3492, 256, 2442, 15, 24709, 634, 3492, 13234, 1329, 634, 8113, 187, 12487, 496, 326, 807, 21208, 261, 5611, 253, 1533, 256, 806, 2990, 32499, 15, 18901, 1580, 359, 1670, 5608, 253, 2791, 342, 247, 187, 187, 16455, 4323, 2718, 275, 16048, 15043, 3249, 2629, 342, 697, 1211, 2990, 3492, 40438, 253, 16048, 15043, 3694, 534, 4483, 4212, 281, 1408, 187, 47, 18601, 5718, 273, 38405, 5542, 1329, 3492, 432, 2349, 351, 398, 285, 2990, 12583, 11987, 15, 41275, 11685, 4384, 3239, 1329, 275, 7503, 4315, 20564, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	209
[ 0, 43, 14922, 285, 26089, 388, 603, 5194, 1982, 5, 883, 78, 21139, 6361, 16454, 2968, 187, 187, 47, 17707, 388, 603, 556, 9288, 247, 1305, 302, 3786, 9633, 407, 44990, 3354, 275, 247, 4471, 14, 24561, 21059, 2968, 285, 556, 9716, 2761, 8157, 26, 78, 313, 3016, 5, 883, 78, 10, 4409, 273, 500, 14922, 21139, 6361, 40093, 281, 564, 281, 253, 747, 2670, 15, 380, 18500, 273, 12036, 500, 14922, 9411, 3797, 253, 40520, 14, 1449, 16676, 455, 342, 247, 577, 78, 3986, 285, 253, 1722, 78, 14, 45017, 36725, 14, 15046, 1566, 15, 187, 187, 1552, 807, 13, 500, 14922, 46417, 3387, 1107, 273, 21139, 6361, 16454, 3275, 285, 6224, 6423, 5682, 13040, 81, 10228, 753, 13, 773, 7132, 310, 247, 2774, 528, 807, 323, 500, 14922, 16676, 455, 21139, 6361, 40093, 347, 359, 1616, 253, 3275, 19054, 273, 247, 5145, 534, 3240, 12832, 4391, 253, 4753, 10885, 2791, 4457, 8981, 15, 844, 403, 25534, 281, 1265, 752, 310, 247, 41457, 807, 342, 247, 15143, 1340, 432, 581, 273, 776, 5962, 5591, 6383, 1425, 187, 187, 47, 17707, 388, 603, 10399, 17953, 26089, 753, 13, 773, 47, 17707, 388, 603, 310, 25534, 281, 2007, 19165, 697, 4891, 11696, 342, 500, 14922, 342, 436, 1781, 4014, 20238, 1340, 15, 844, 15555, 9361, 275, 9159, 4980, 13, 1732, 11220, 7269, 3580, 432, 2791, 4283, 17739, 285, 500, 14922, 5604, 16382, 436, 6866, 15, 14566, 4307, 2366, 8379, 323, 1142, 1107, 13, 359, 871, 352, 457, 84, 247, 1416, 359, 476, 4517, 281, 7257, 247, 3290, 285, 9630, 1885, 281, 776, 6383, 1425, 187, 187, 10195, 273, 253, 9841, 9716, 10679, 588, 5739, 253, 1305, 302, 3786, 9633, 407, 253, 4444, 16263, 1387, 44990, 3354, 534, 2427, 715, 5286, 3563, 1390, 807, 15, 187, 187, 1628, 1552, 747, 1305, 302, 310, 275, 247, 4335, 4328, 323, 26089, 388, 603, 285, 11521, 275, 1386, 342, 776, 5827, 323, 16122, 776, 1305, 302, 2990, 2007, 6420, 15, 309, 476, 6583, 326, 359, 588, 3959, 776, 6383, 3580, 432, 1016, 273, 776, 22387, 281, 2486, 4444, 13, 23241, 13, 21487, 285, 15519, 9189, 1806, 2879, 26089, 15, 187, 187, 10572, 10360, 187, 187, 15883, 14963, 310, 17234, 273, 253, 891, 28889, 7138, 1108, 534, 3797, 5865, 285, 3379, 34081, 273, 247, 42886, 11338, 13, 5566, 14, 12412, 1106, 25627, 13, 285, 253, 21798, 418, 2094, 14, 85, 32068, 8499, 13, 347, 973, 347, 21983, 85, 48985, 15, 681, 13, 534, 310, 9300, 5312, 15, 6270, 556, 1313, 285, 20114, 690, 273, 253, 1533, 434, 4283, 9787, 4958, 473, 3172, 37627, 13, 11731, 84, 285, 10399, 84, 13, 285, 3936, 1270, 15555, 275, 19165, 272, 891, 28889, 434, 1659, 347, 253, 4283, 12209, 323, 8881, 1561, 253, 4491, 13, 247, 12681, 326, 521, 644, 4270, 598, 689, 253, 7138, 434, 2030, 14, 2913, 2892, 15, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	472
[ 0, 12558, 10525, 8939, 36215, 31562, 14604, 273, 6079, 4370, 2739, 187, 187, 44, 19038, 1719, 45893, 13, 6956, 15, 313, 2088, 10, 1969, 6470, 34640, 7350, 20588, 16301, 14, 3169, 25148, 8939, 36215, 281, 6983, 247, 1273, 14604, 273, 6079, 4370, 2739, 4197, 387, 247, 3684, 9756, 4444, 835, 3275, 556, 644, 14116, 13, 253, 2567, 6138, 8216, 15, 187, 187, 510, 4444, 275, 443, 38766, 13, 322, 15, 36, 904, 310, 253, 1072, 581, 326, 1160, 13100, 14, 1987, 22315, 2739, 326, 5339, 18660, 273, 9097, 23931, 275, 5826, 15, 187, 187, 34, 3908, 432, 253, 2567, 753, 253, 6983, 3797, 581, 3275, 1408, 273, 31541, 43332, 323, 253, 8939, 418, 1189, 434, 25293, 32967, 10315, 26658, 6079, 4370, 2739, 15, 380, 30680, 13, 6956, 8634, 3169, 2567, 753, 581, 7351, 5762, 2762, 323, 24791, 5021, 13, 285, 253, 6983, 273, 1740, 3275, 11646, 310, 1146, 5196, 347, 247, 47644, 552, 2557, 15, 1621, 4370, 31372, 452, 644, 2361, 15, 187, 187, 510, 1885, 369, 5939, 281, 6383, 275, 884, 3054, 27, 7758, 13, 18370, 13, 14070, 13, 11314, 13, 1457, 2816, 13, 3729, 9756, 13, 10128, 13, 11637, 13, 3684, 9756, 285, 9385, 15, 187, 187, 40582, 369, 14116, 4162, 854, 387, 253, 443, 38766, 4444, 846, 247, 6983, 767, 1897, 4321, 7668, 247, 1027, 1885, 13, 25148, 427, 4953, 932, 25852, 3189, 267, 708, 23773, 6079, 4370, 2739, 15, 329, 5798, 2739, 6983, 387, 253, 4444, 275, 4748, 369, 20588, 984, 253, 2739, 1904, 626, 3831, 2217, 32788, 6771, 13, 271, 5667, 23281, 323, 16581, 15, 187, 187, 60, 30858, 7788, 2708, 62, 187, 187, 3, 1231, 1849, 2668, 19779, 2250, 285, 14116, 3275, 937, 753, 25148, 35027, 3344, 460, 3774, 11416, 15, 346, 1231, 1379, 3290, 3374, 1077, 10369, 285, 588, 21058, 3275, 672, 359, 476, 21684, 326, 776, 3580, 2525, 776, 32881, 3290, 7465, 449, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	312

[ 0, 368, 1912, 457, 85, 923, 1457, 8911, 9001, 15592, 9159, 616, 3909, 3580, 281, 12633, 275, 11637, 13, 347, 1199, 347, 597, 651, 774, 763, 326, 5107, 13, 1919, 5759, 3587, 12453, 436, 2523, 15, 12526, 13, 359, 457, 306, 2326, 1077, 1652, 1921, 281, 755, 9049, 670, 326, 6387, 15, 187, 187, 6175, 4673, 15, 2207, 11078, 388, 1506, 432, 18143, 556, 41443, 4081, 10843, 13, 352, 369, 29919, 342, 247, 12786, 439, 2371, 273, 27531, 13, 275, 629, 984, 352, 4242, 281, 2953, 253, 22338, 3162, 275, 667, 14282, 1039, 323, 9001, 34601, 9158, 15, 187, 187, 3378, 388, 1506, 425, 1875, 15072, 285, 247, 3480, 273, 247, 2590, 30162, 14, 1257, 12287, 275, 253, 8993, 2852, 13, 627, 457, 84, 642, 1921, 281, 2186, 634, 6345, 6179, 323, 5759, 281, 769, 15, 1284, 309, 4159, 896, 275, 4397, 13, 1375, 8269, 2478, 13, 417, 253, 4400, 2208, 13, 588, 320, 253, 4394, 8925, 253, 2852, 273, 9001, 34601, 275, 253, 530, 15, 52, 15, 187, 187, 2513, 352, 1896, 326, 253, 401, 5797, 1379, 247, 3213, 19265, 285, 1611, 281, 2701, 3909, 9001, 34601, 285, 16791, 32, 1310, 368, 1642, 18718, 44056, 17953, 13, 275, 958, 13, 326, 651, 320, 29224, 15, 1292, 323, 247, 30408, 273, 4606, 13, 352, 434, 38342, 4673, 15, 17953, 4850, 521, 5730, 15, 187, 187, 23064, 2474, 1852, 20, 27, 380, 23519, 18631, 14, 3169, 1566, 273, 9001, 34601, 588, 5276, 37359, 323, 3054, 326, 1611, 352, 187, 187, 510, 5020, 273, 530, 15, 52, 15, 3054, 452, 1375, 14, 6321, 2257, 350, 447, 13, 534, 4245, 36284, 3694, 4413, 275, 29488, 342, 1375, 13001, 15, 1292, 3054, 403, 1469, 281, 1089, 562, 4541, 326, 627, 457, 84, 2717, 686, 14077, 2364, 8, 670, 247, 1375, 6757, 1146, 42603, 342, 253, 9137, 13, 2495, 4323, 13, 285, 1885, 2440, 326, 667, 20566, 9001, 34601, 4254, 3198, 281, 320, 5547, 15, 187, 187, 27121, 326, 1158, 597, 476, 15909, 2791, 3894, 342, 247, 40672, 285, 12314, 9001, 34601, 1885, 403, 11213, 272, 3746, 1108, 9001, 701, 85, 641, 403, 18144, 6383, 326, 1912, 457, 85, 16359, 323, 271, 18134, 9159, 3365, 984, 352, 457, 84, 686, 783, 760, 2165, 275, 3874, 2464, 187, 187, 1147, 457, 84, 417, 285, 253, 30569, 2791, 588, 4035, 281, 25903, 604, 253, 4320, 5795, 3548, 457, 85, 9696, 16694, 13, 11638, 13, 285, 3947, 25785, 33449, 15, 187, 187, 12864, 247, 1007, 387, 253, 18660, 273, 9001, 5098, 326, 3819, 323, 3909, 2791, 3894, 275, 253, 1986, 11491, 13, 436, 1142, 4413, 2226, 984, 642, 767, 9001, 34601, 6383, 403, 19605, 15, 16842, 816, 13966, 697, 3909, 37020, 275, 3718, 273, 247, 8374, 5358, 985, 846, 1107, 273, 4715, 436, 958, 253, 1892, 1039, 15, 187, 187, 27121, 326, 1611, 281, 44911, 907, 9001, 34601, 323, 3746, 403, 1469, 281, 923, 15005, 5356, 1698, 24528, 285, 417, 320, 2104, 281, 9295, 2791, 3894, 432, 30569, 15, 187, 187, 23064, 2474, 1852, 21, 27, 329, 1375, 342, 642, 6483, 15777, 390, 7393, 11656, 7305, 588, 1509, 247, 6007, 13, 18597, 326, 6109, 14, 7483, 9001, 34601, 310, 247, 1077, 16571, 4500, 187, 187, 32086, 1037, 8288, 13, 9001, 34601, 1663, 3548, 457, 85, 247, 25961, 2165, 15, 4952, 1078, 253, 6054, 273, 15878, 18088, 13, 627, 369, 247, 9168, 1984, 466, 327, 1046, 2972, 275, 954, 2201, 8238, 1475, 253, 2586, 15, 187, 187, 510, 1072, 310, 2032, 3063, 13, 760, 253, 4302, 556, 16323, 15, 15000, 34601, 310, 1633, 326, 7458, 513, 1223, 7487, 253, 1943, 2165, 13, 285, 6109, 34601, 2789, 352, 3477, 285, 11638, 323, 9001, 701, 85, 641, 281, 1659, 247, 701, 327, 616, 1211, 673, 15, 187, 187, 14131, 2080, 13, 253, 1643, 3054, 326, 452, 14047, 9001, 34601, 452, 6483, 15777, 13, 533, 1907, 247, 25961, 390, 7393, 11656, 471, 275, 247, 1375, 310, 7094, 15279, 281, 6153, 247, 5547, 9001, 34601, 2791, 15, 18805, 9001, 3305, 9158, 1053, 457, 85, 878, 247, 3520, 9509, 281, 10196, 13, 285, 3054, 403, 23862, 327, 281, 436, 958, 4541, 15, 187, 187, 27121, 751, 9385, 285, 16091, 13, 6747, 273, 534, 452, 16791, 9189, 13, 588, 320, 18216, 6109, 9001, 34601, 10843, 275, 6247, 15, 5037, 457, 85, 320, 9861, 281, 923, 581, 390, 1097, 273, 841, 3054, 37015, 6109, 9001, 34601, 13, 285, 275, 253, 1232, 5276, 326, 6109, 310, 247, 16571, 285, 42733, 1462, 14, 21636, 1885, 15, 187, 187, 3039, 369, 253, 1390, 673, 368, 9047, 247, 43410, 14811, 32, 14815, 352, 1361, 604, 368, 574, 690, 4808, 275, 253, 2165, 32, 2064, 457, 84, 4555, 253, 2238, 273, 701, 326, 39411, 9001, 32132, 588, 320, 7378, 281, 1379, 281, 48404, 616, 18395, 285, 17200, 275, 253, 1345, 5130, 15, 187, 187, 1322, 4061, 1277, 310, 247, 4335, 1650, 273, 271, 4232, 9728, 326, 812, 5649, 10260, 432, 9001, 34601, 15, 2732, 512, 13, 604, 368, 751, 34601, 327, 12074, 13, 2139, 5082, 457, 85, 368, 751, 34601, 327, 247, 35008, 8936, 2715, 273, 247, 8815, 326, 4566, 275, 6714, 273, 1052, 6574, 591, 4964, 32, 1244, 1223, 271, 3038, 14, 5056, 13170, 25595, 5492, 778, 1646, 734, 1222, 494, 281, 15120, 7458, 13, 352, 778, 816, 320, 625, 12302, 604, 1016, 13427, 10262, 247, 747, 34601, 5107, 15, 187, 187, 4527, 2282, 13, 690, 598, 5478, 32132, 403, 2168, 19714, 327, 9001, 34601, 1600, 347, 629, 273, 616, 9137, 5700, 15, 15794, 32132, 751, 253, 1594, 4639, 285, 253, 329, 9006, 3524, 326, 5277, 8655, 34601, 9091, 327, 616, 3958, 588, 1361, 747, 7458, 1007, 2469, 253, 1679, 14, 14644, 14, 47, 4639, 46672, 12816, 327, 253, 1673, 15, 187, 187, 4257, 314, 4232, 9001, 34601, 9158, 778, 1265, 3365, 407, 9159, 760, 34601, 4610, 327, 253, 2201, 530, 15, 52, 15, 285, 5284, 9001, 32132, 13, 533, 1902, 9001, 15592, 281, 1265, 3192, 45780, 327, 841, 625, 26015, 27278, 973, 1078, 6247, 310, 275, 253, 5098, 15, 187, 187, 23064, 2474, 1852, 23, 27, 1457, 8911, 588, 4035, 281, 1756, 13, 533, 23050, 588, 3464, 253, 11784, 6657, 187, 187, 4257, 8911, 457, 84, 6016, 7788, 281, 21097, 1770, 846, 1770 ]

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

1,024

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

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

1,024

[ 0, 347, 418, 3017, 27183, 15, 3808, 13894, 1972, 2486, 2007, 35225, 13, 323, 1650, 346, 15844, 10768, 531, 11177, 1261, 3446, 187, 187, 688, 269, 2976, 285, 7989, 33223, 13, 2195, 310, 908, 281, 861, 1419, 247, 13947, 3290, 275, 247, 1894, 13, 3798, 861, 5411, 271, 5795, 7914, 273, 247, 1894, 432, 247, 15516, 789, 15, 20599, 273, 436, 651, 320, 346, 30998, 6484, 2, 37, 8306, 80, 3, 390, 346, 55, 1301, 603, 2, 33244, 3, 432, 11643, 28753, 269, 2976, 15, 733, 310, 671, 908, 281, 19148, 253, 1655, 35554, 273, 247, 1894, 342, 2709, 22925, 390, 18655, 13, 824, 347, 281, 12129, 346, 22552, 263, 2, 2422, 3, 432, 346, 22705, 2, 2422, 3, 275, 247, 789, 1754, 327, 13525, 33107, 1219, 10398, 382, 15, 380, 6510, 273, 436, 10393, 310, 7202, 13, 3738, 352, 310, 24045, 281, 452, 23923, 342, 2176, 41673, 486, 15601, 386, 427, 34483, 308, 4405, 868, 2250, 8442, 13, 323, 1650, 13, 346, 49007, 20929, 2, 14765, 15916, 995, 346, 31059, 7873, 2, 17314, 49707, 995, 285, 346, 30389, 21329, 1209, 2, 16833, 13852, 80, 3446, 187, 187, 2115, 982, 187, 187, 6080, 17478, 5098, 13, 3340, 36962, 26465, 273, 253, 4260, 14, 938, 394, 5331, 13, 21774, 897, 253, 385, 29174, 1127, 3185, 273, 253, 2180, 13, 534, 2097, 253, 1894, 556, 816, 8156, 1633, 28, 12401, 672, 253, 1953, 1616, 4620, 3185, 13, 534, 2097, 253, 1894, 310, 13477, 13, 9861, 390, 597, 513, 417, 871, 752, 310, 9369, 15, 831, 14280, 281, 1421, 281, 36074, 6519, 13, 275, 1386, 342, 253, 643, 23400, 3841, 1846, 275, 17478, 5098, 15, 329, 5110, 273, 253, 16038, 13, 2299, 13, 369, 3365, 326, 247, 2180, 1537, 15529, 275, 253, 11993, 1232, 908, 387, 253, 673, 13, 5727, 271, 385, 29174, 1127, 651, 2779, 3464, 43455, 1014, 604, 627, 369, 247, 11993, 1289, 2682, 15, 1198, 247, 2159, 2180, 10908, 8652, 13, 347, 17234, 14, 249, 14, 32100, 273, 24466, 35018, 13, 9919, 281, 33204, 616, 689, 2327, 407, 247, 2159, 14, 27379, 8913, 327, 385, 29174, 2792, 17965, 13, 534, 3977, 281, 271, 32127, 290, 3480, 273, 12365, 17256, 2368, 327, 1142, 14683, 15, 187, 187, 2115, 280, 1984, 8406, 49867, 322, 2, 6813, 6058, 2378, 26187, 6704, 521, 1416, 342, 271, 385, 29174, 1955, 281, 253, 8803, 273, 970, 731, 672, 4028, 17478, 20477, 28, 352, 3395, 521, 5702, 1416, 432, 840, 327, 15, 10244, 13, 17478, 9558, 7493, 24999, 2, 556, 908, 253, 385, 29174, 1127, 846, 521, 1416, 4768, 521, 5249, 15, 187, 187, 688, 17478, 5098, 285, 26465, 275, 2087, 13, 247, 1781, 385, 29174, 1127, 310, 2223, 908, 2822, 390, 689, 247, 1894, 434, 1481, 281, 5224, 9326, 15, 50276, 34, 1953, 1616, 476, 12014, 320, 908, 281, 5224, 13775, 15, 187, 187, 6892, 859, 187, 187, 688, 29992, 14951, 31487, 12853, 247, 1175, 2118, 13, 346, 2, 1476, 12853, 271, 7126, 2118, 13, 346, 32, 1476, 12853, 247, 42326, 2118, 13, 285, 346, 2, 865, 12853, 271, 4722, 13, 29198, 2118, 15, 50276, 688, 690, 29992, 11640, 824, 347, 1781, 14, 4697, 1608, 48000, 11640, 13, 31487, 310, 908, 281, 1924, 7437, 26475, 407, 17429, 12422, 390, 13195, 15, 187, 187, 4316, 37588, 934, 187, 688, 1810, 37588, 934, 13, 271, 385, 29174, 1616, 3542, 846, 247, 3159, 310, 908, 281, 5224, 697, 3361, 275, 253, 23607, 34947, 285, 9585, 12967, 5552, 533, 697, 5928, 432, 253, 23607, 1810, 37588, 934, 32392, 26372, 13, 3798, 984, 253, 3159, 556, 644, 24242, 13413, 15, 187, 187, 8932, 2910, 187, 1672, 29174, 2792, 390, 23317, 38235, 476, 320, 908, 327, 4868, 35817, 281, 9173, 247, 346, 17124, 14397, 1132, 3446, 187, 187, 14918, 792, 3440, 187, 510, 3961, 2195, 4672, 313, 1087, 251, 11493, 346, 1779, 76, 775, 76, 775, 76, 2807, 4648, 385, 29174, 2792, 347, 697, 1416, 15, 187, 187, 688, 4695, 13, 253, 1684, 14, 42246, 3961, 9251, 280, 2, 387, 253, 5201, 1940, 8231, 253, 385, 29174, 1127, 275, 697, 1416, 28, 436, 3395, 253, 346, 2252, 14, 35844, 264, 9400, 327, 544, 20227, 62, 3935, 16431, 1475, 253, 1533, 3446, 496, 4748, 13, 253, 385, 29174, 1616, 369, 294, 14, 14447, 264, 1563, 253, 3961, 434, 8085, 15, 187, 187, 510, 3961, 29811, 253, 11412, 25475, 2, 29820, 271, 385, 29174, 1616, 275, 697, 1416, 13, 347, 973, 347, 2067, 5400, 285, 4498, 14505, 285, 32223, 2144, 15, 20599, 2486, 616, 9575, 7998, 32832, 10, 5863, 380, 25150, 89, 4672, 1476, 285, 253, 5400, 2006, 3628, 15844, 27, 19778, 15844, 1608, 334, 312, 38086, 15844, 1244, 1889, 68, 959, 407, 13529, 18963, 15844, 15, 187, 187, 7878, 26650, 27653, 17521, 4219, 617, 3924, 1416, 346, 49, 2, 19752, 995, 285, 4648, 1264, 385, 29174, 2792, 275, 253, 749, 5564, 273, 617, 4267, 3727, 13, 6495, 383, 388, 953, 1051, 1893, 10351, 15844, 15, 187, 187, 46776, 187, 187, 510, 385, 29174, 1616, 369, 2908, 275, 253, 4060, 273, 34511, 1240, 35787, 434, 5579, 2962, 13, 34511, 1240, 2, 380, 385, 29174, 1616, 369, 1996, 253, 2256, 273, 247, 17123, 4154, 875, 47385, 6029, 265, 285, 617, 22273, 13, 23239, 500, 1513, 293, 13, 275, 253, 1023, 2050, 10391, 9037, 13, 346, 510, 11982, 1648, 272, 16480, 386, 3446, 47385, 1694, 14004, 342, 23239, 323, 417, 8133, 271, 385, 29174, 1616, 387, 253, 990, 273, 247, 3935, 670, 617, 3331, 1907, 247, 6858, 15, 23239, 2335, 9559, 6517, 281, 253, 14916, 14226, 285, 9377, 598, 342, 47385, 13, 8133, 271, 385, 29174, 1616, 846, 521, 629, 272, 3000, 27, 346, 42, 1353, 6108, 1476, 187, 187, 510, 11203, 187, 688, 12256, 84, 13, 271, 385, 29174, 1616, 310, 3798, 908, 672, 253, 4060, 273, 253, 921, 556, 253, 1072, 4060, 273, 247, 4498, 1561, 253, 769, 15, 20599, 273, 436, 403, 2722, 751, 17360, 2, 285, 353, 1861, 353, 571, 11388, 5983, 187, 187, 5035, 671, 187, 13525, 3523, 187, 496, 13083, 1953, 285, 385, 29174, 10880, 187, 367, 10593, 2368, 187, 37060, 17256, 2368, 187, 187, 16927, 187, 187, 16927, 187, 187, 4941, 187, 187, 7504, 4859, 535, 530, 12, 39060, 385, 29174, 1127, 1905 ]

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

1,024

[ 0, 5225, 35930, 39915, 211, 14274, 15962, 5225, 11894, 240, 6238, 24553, 20281, 15446, 223, 5959, 238, 20622, 16401, 40969, 33859, 15962, 9850, 40951, 4340, 22580, 224, 27727, 33656, 214, 10962, 114, 6238, 24553, 20281, 29918, 35321, 39465, 25276, 39859, 22044, 5225, 21275, 12335, 4340, 187, 187, 1835, 14084, 26912, 34, 2522, 33822, 2490, 187, 1628, 13610, 37373, 18764, 36778, 23373, 17955, 226, 12462, 232, 15899, 120, 26581, 242, 29766, 22329, 5225, 26974, 227, 16401, 36666, 28791, 6238, 35930, 39295, 12755, 235, 34179, 9850, 16677, 6238, 31811, 240, 44020, 121, 18245, 220, 44314, 48815, 14129, 96, 47615, 4340, 668, 187, 187, 42055, 31486, 14377, 27896, 6914, 16401, 44114, 48815, 5225, 44157, 24160, 6238, 42843, 3218, 231, 41478, 6765, 121, 30423, 26795, 26151, 112, 26974, 230, 18678, 24370, 5225, 11894, 240, 6238, 47029, 14129, 120, 12105, 28327, 32938, 9078, 235, 12105, 14129, 96, 47615, 23692, 215, 36337, 227, 34446, 20281, 8841, 124, 30808, 45091, 15899, 108, 11871, 226, 4340, 9078, 235, 45091, 43251, 13744, 122, 16787, 114, 48991, 36548, 18148, 13258, 232, 5225, 29852, 121, 161, 96, 241, 4340, 36213, 43873, 65, 22860, 26912, 34, 2522, 33822, 65, 7056, 212, 14129, 118, 31486, 24370, 34811, 17576, 27896, 34138, 216, 32004, 17559, 217, 13499, 225, 164, 223, 214, 10041, 114, 29766, 35489, 25276, 47905, 26151, 112, 26974, 230, 5225, 16677, 15531, 4340, 187, 187, 1835, 5386, 49452, 1882, 5623, 17920, 2490, 187, 1628, 26772, 20622, 9850, 49037, 19780, 119, 42205, 28791, 20326, 5672, 5225, 22975, 16849, 236, 6238, 34138, 216, 18678, 17955, 226, 12462, 232, 5225, 23371, 17559, 217, 39249, 14236, 24412, 22975, 65, 27745, 65, 40969, 20326, 65, 19057, 65, 14106, 20281, 5690, 225, 39465, 23788, 39673, 20025, 5225, 42025, 116, 17559, 217, 39249, 13609, 16998, 121, 42951, 4340, 20622, 16401, 17955, 241, 21734, 33018, 13610, 44157, 24160, 45091, 28607, 125, 5225, 22975, 16849, 236, 34671, 30903, 162, 121, 237, 37062, 5225, 21734, 20287, 4340, 37215, 235, 14129, 99, 20326, 7750, 4340, 14236, 17, 15, 1047, 15957, 219, 18957, 29427, 37215, 235, 14129, 99, 20326, 5672, 14106, 668, 187, 187, 20622, 12105, 27896, 36361, 12335, 13610, 28607, 125, 44157, 24160, 16740, 17321, 212, 36359, 34698, 18764, 5225, 13127, 235, 27707, 4340, 18842, 16740, 6238, 65, 27745, 65, 40969, 13258, 121, 12105, 65, 19057, 65, 5225, 6238, 25276, 16877, 24553, 14274, 41250, 23825, 216, 36644, 46049, 14377, 42205, 28791, 39465, 4340, 38328, 13610, 46716, 16740, 6238, 24553, 47905, 49835, 108, 38908, 13610, 16677, 41683, 33499, 16740, 42205, 28791, 17492, 65, 27745, 27, 8763, 65, 4340, 187, 187, 4118, 209, 15367, 5225, 41251, 23366, 26151, 112, 26974, 230, 7249, 105, 46791, 97, 6238, 15367, 14274, 47905, 41478, 12363, 113, 8841, 124, 30420, 30423, 26795, 187, 187, 20622, 13610, 47754, 35241, 21998, 226, 17559, 219, 43454, 22975, 45091, 36548, 17559, 212, 6238, 11016, 213, 26772, 5225, 29463, 39465, 12105, 44966, 117, 30808, 22580, 113, 17576, 21734, 20287, 5225, 40500, 39915, 108, 4340, 29297, 44314, 29766, 22329, 25276, 34671, 22044, 5225, 6238, 39465, 33018, 34671, 47750, 9850, 40951, 29554, 33369, 115, 13610, 14274, 24412, 15446, 102, 13609, 24370, 18434, 35930, 26151, 112, 26974, 230, 19780, 115, 28305, 6238, 22580, 224, 27727, 43316, 36778, 29297, 33018, 162, 121, 96, 34138, 113, 24553, 5225, 41085, 43741, 4340, 43873, 35489, 18764, 14129, 110, 7111, 226, 5225, 12105, 6238, 43454, 35724, 33018, 26487, 105, 38155, 162, 121, 237, 37062, 4340, 187, 187, 4118, 209, 13610, 34698, 12755, 235, 27896, 13486, 243, 11871, 225, 46049, 14377, 5690, 211, 43244, 47570, 27707, 5225, 19780, 115, 28305, 22975, 6238, 15253, 15446, 102, 20241, 218, 3218, 100, 34698, 17783, 224, 7111, 225, 187, 187, 42055, 24553, 32594, 13610, 29463, 27896, 43454, 6238, 24553, 41250, 19780, 121, 34671, 47750, 27896, 65, 736, 15413, 17196, 65, 13486, 123, 15531, 6238, 39465, 27804, 32004, 16549, 106, 11016, 242, 5225, 47615, 18678, 26974, 227, 9850, 16677, 12105, 7719, 101, 47905, 34698, 12755, 235, 6238, 24370, 13486, 226, 45508, 45091, 24899, 14274, 41250, 18764, 5225, 41869, 21275, 4340, 42055, 24553, 29463, 17492, 14274, 18148, 47570, 5225, 36998, 43799, 17321, 215, 6238, 20622, 19780, 119, 41869, 21275, 29297, 46987, 41085, 46291, 211, 48950, 36359, 44290, 12335, 12105, 7719, 101, 32313, 38563, 4340, 187, 187, 24412, 43929, 5225, 6238, 24553, 33018, 36750, 35321, 65, 11425, 12118, 11241, 65, 13486, 123, 15531, 24370, 34811, 29687, 13610, 5690, 211, 43244, 43929, 5225, 49835, 108, 6765, 218, 41351, 23366, 20720, 6238, 24553, 15446, 223, 5959, 238, 20622, 16401, 41251, 23366, 30808, 22044, 34698, 12755, 235, 4340, 42055, 24553, 37661, 233, 14262, 236, 5225, 12105, 29268, 109, 48153, 119, 5225, 41251, 23366, 14236, 47397, 26270, 40969, 47961, 30423, 44692, 21390, 21458, 3409, 25276, 14262, 113, 17576, 14106, 6238, 24553, 33018, 37208, 12335, 65, 49, 459, 26912, 35394, 249, 65, 24370, 20326, 24553, 28915, 237, 20622, 16401, 41869, 21275, 4340, 49218, 12811, 120, 33656, 214, 9850, 35241, 6238, 14274, 18148, 47570, 5225, 36998, 43799, 17321, 215, 13610, 34671, 11016, 242, 20005, 28305, 48991, 36548, 14377, 12335, 1905, 1128, 209, 26772, 24553, 14274, 30808, 14274, 25949, 27896, 28607, 125, 44157, 24160, 25949, 44795, 28915, 237, 27896, 36087, 111, 29485, 5225, 44075, 21365, 214, 6238, 39465, 20281, 22160, 34698, 12755, 235, 24553, 5225, 10962, 114, 16401, 41251, 23366, 33859, 27727, 16549, 106, 11016, 242, 6238, 38328, 3218, 231, 29440, 42697, 37079, 33859, 45508, 4340, 187, 187, 4118, 209, 44692, 30329, 13610, 42918, 29268, 125, 31949, 13609, 24412, 22975, 28915, 237, 45091, 24899, 22010, 34397, 6238, 13744, 122, 16787, 114, 15253, 29268, 125, 31949, 17598, 220, 15446, 102, 187, 187, 1628, 13744, 122, 34372, 105, 6765, 218, 23823, 97, 17321, 212, 46791, 97, 668, 12105, 11894, 100, 49271, 27107, 235, 5225, 36548, 17559, 212, 24160, 35321, 4340, 13610, 36359, 24446, 34397, 14318, 97, 20720, 6238, 20622, 49288, 49271, 27107, 235, 35724, 43251, 20281, 18678, 35321, 4340, 29463, 65, 6504, 1913, 8224, 65, 12105, 27896, 34439, 5225, 44301, 6238, 43300, 12105, 42055, 13610, 37062, 42930, 13609, 6238, 20326, 17492, 12335, 46136, 29645, 48604, 223, 5225, 35930, 39915, 211, 38328, 32283, 116, 9078, 242, 36359, 24446, 41869, 21275, 42843, 14274, 7249, 105, 20287, 33474, 43368, 6238, 40693, 43244, 24553, 33018, 45466, 46982, 228, 9850, 20720, 29463, 65, 9683, 26311, 65, 4340, 187, 187, 65, 1145, 18280, 65, 5225, 33474, 44002, 9850, 34372, 107, 20281 ]

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

1,024

[ 0, 50273, 11, 1214, 2887, 5987, 1358, 18982, 15, 2061, 16, 15337, 84, 187, 50273, 8480, 187, 50274, 4387, 1159, 10123, 3914, 15337, 84, 10, 187, 50274, 92, 187, 50270, 2309, 370, 2520, 1168, 1178, 8324, 2073, 15337, 84, 1383, 370, 15337, 84, 558, 187, 50274, 94, 535, 50274, 6930, 187, 50273, 11, 10611, 273, 247, 3806, 7066, 3239, 326, 29472, 26374, 6492, 253, 5382, 434, 187, 50273, 11, 6489, 15, 444, 15, 72, 15, 253, 10611, 273, 253, 5382, 434, 26654, 3239, 13, 45155, 301, 682, 5857, 13, 390, 187, 50273, 11, 3565, 4422, 15, 187, 50273, 11, 187, 50273, 11, 1214, 3575, 2876, 93, 2703, 5456, 370, 18941, 1909, 187, 50273, 11, 187, 50273, 11, 1214, 2309, 4228, 187, 50273, 11, 187, 50273, 11, 1214, 2887, 5987, 1358, 18982, 15, 2061, 16, 18941, 1909, 187, 50273, 8480, 187, 50274, 4387, 1159, 1072, 1909, 3914, 18941, 1909, 10, 187, 50274, 92, 187, 50270, 2309, 370, 2520, 1168, 1178, 8324, 2073, 18941, 1909, 1383, 370, 18941, 1909, 558, 187, 50274, 94, 535, 50274, 6930, 187, 50273, 11, 2102, 31290, 313, 1615, 10611, 390, 2876, 10, 247, 1798, 2715, 273, 247, 20824, 908, 275, 187, 50273, 11, 690, 28283, 10282, 15, 1198, 1650, 13, 247, 3389, 812, 11165, 247, 20824, 8893, 187, 50273, 11, 970, 271, 10611, 824, 347, 5987, 1358, 18982, 15, 2061, 16, 4149, 16, 19, 15, 17, 16, 604, 10799, 187, 50273, 11, 14011, 273, 20824, 2715, 369, 2424, 407, 690, 2898, 15, 187, 50273, 11, 187, 50273, 11, 1214, 3575, 2876, 93, 2703, 5456, 370, 18982, 8893, 187, 50273, 11, 187, 50273, 11, 1214, 2309, 4228, 187, 50273, 11, 187, 50273, 11, 1214, 2887, 5987, 1358, 18982, 15, 2061, 16, 18982, 8893, 187, 50273, 8480, 187, 50274, 4387, 1159, 20824, 8893, 3914, 18982, 8893, 10, 187, 50274, 92, 187, 50270, 2309, 370, 2520, 1168, 1178, 8324, 2073, 18982, 8893, 1383, 370, 18982, 8893, 558, 187, 50274, 94, 535, 50274, 6930, 187, 50273, 11, 2102, 31290, 253, 3522, 327, 534, 253, 1655, 18872, 941, 369, 4561, 1227, 187, 50273, 11, 3863, 15, 22460, 908, 12936, 8605, 8289, 33983, 9502, 187, 50273, 11, 187, 50273, 11, 1214, 3575, 393, 24151, 14418, 3577, 24151, 14418, 5456, 370, 8289, 6958, 32963, 187, 50273, 11, 187, 50273, 11, 1214, 2309, 4228, 187, 50273, 11, 187, 50273, 11, 1214, 2887, 5987, 1358, 18982, 15, 2061, 16, 8289, 6958, 32963, 187, 50273, 11, 1214, 2887, 3944, 1358, 33965, 15, 18982, 15, 2061, 187, 50273, 11, 1214, 4492, 5987, 1358, 7280, 15, 681, 16, 18982, 2061, 16, 18982, 2061, 16, 22402, 16, 1093, 2691, 187, 50273, 8480, 187, 50274, 4387, 1159, 39868, 6958, 32963, 3914, 8289, 6958, 32963, 10, 187, 50274, 92, 187, 50270, 2309, 370, 2520, 1168, 1178, 8324, 2073, 8289, 6958, 32963, 1383, 370, 8289, 6958, 32963, 558, 187, 50274, 94, 535, 50274, 6930, 187, 50273, 11, 329, 7981, 3389, 326, 10384, 281, 436, 18872, 941, 13, 5431, 187, 50273, 11, 4860, 407, 10611, 15, 187, 50273, 11, 187, 50273, 11, 1214, 3575, 393, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 21164, 422, 10282, 35077, 3577, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 21164, 422, 10282, 35077, 5456, 93, 2703, 93, 2703, 5456, 370, 8289, 17736, 187, 50273, 11, 187, 50273, 11, 1214, 2309, 4228, 187, 50273, 11, 187, 50273, 11, 1214, 2887, 5987, 1358, 18982, 15, 2061, 16, 8289, 17736, 187, 50273, 11, 1214, 2887, 3944, 1358, 33965, 15, 18982, 15, 2061, 187, 50273, 11, 1214, 4492, 5987, 1358, 7280, 15, 681, 16, 18982, 2061, 16, 18982, 2061, 16, 22402, 16, 1093, 2691, 187, 50273, 8480, 187, 50274, 4387, 1159, 39868, 17736, 3914, 8289, 17736, 10, 187, 50274, 92, 187, 50270, 2309, 370, 2520, 1168, 1178, 8324, 2073, 8289, 17736, 1383, 370, 8289, 17736, 558, 187, 50274, 94, 535, 50274, 6930, 187, 50273, 11, 2102, 31290, 253, 3128, 5506, 323, 11365, 285, 18051, 253, 1655, 187, 50273, 11, 18872, 941, 44236, 13, 5431, 275, 2219, 835, 253, 18872, 941, 310, 187, 50273, 11, 6012, 8356, 432, 5368, 3863, 2600, 533, 3863, 327, 247, 187, 50273, 11, 1027, 2670, 15, 1198, 1650, 13, 5974, 6493, 285, 1527, 941, 21823, 187, 50273, 11, 2223, 294, 14, 48336, 5368, 2600, 342, 625, 11120, 18872, 187, 50273, 11, 21464, 15, 380, 187, 50273, 11, 8605, 8289, 33983, 9502, 2867, 7729, 1056, 824, 8333, 625, 6843, 15, 187, 50273, 11, 187, 50273, 11, 1214, 3575, 393, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 25727, 1320, 35077, 3577, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 25727, 1320, 35077, 5456, 3577, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 19589, 35077, 3577, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 19589, 35077, 5456, 370, 8289, 33983, 187, 50273, 11, 187, 50273, 11, 1214, 2309, 4228, 187, 50273, 11, 187, 50273, 11, 1214, 2887, 5987, 1358, 18982, 15, 2061, 16, 8289, 33983, 187, 50273, 11, 1214, 2887, 3944, 1358, 33965, 15, 18982, 15, 2061, 187, 50273, 11, 1214, 4492, 5987, 1358, 7280, 15, 681, 16, 18982, 2061, 16, 18982, 2061, 16, 22402, 16, 1093, 2691, 187, 50273, 8480, 187, 50274, 4387, 1159, 39868, 33983, 3914, 8289, 33983, 10, 187, 50274, 92, 187, 50270, 2309, 370, 2520, 1168, 1178, 8324, 2073, 8289, 33983, 1383, 370, 8289, 33983, 558, 187, 50274, 94, 535, 50274, 6930, 187, 50273, 11, 329, 19817, 1979, 273, 247, 1885, 390, 10995, 789, 13, 2223, 8077, 5411, 187, 50273, 11, 38539, 1491, 715, 247, 2969, 45860, 2876, 13, 2057, 949, 14339, 187, 50273, 11, 281, 4907, 9552, 390, 313, 249, 253, 1083, 273, 1885, 44236, 582, 407, 25987, 187, 50273, 11, 6041, 8077, 6787, 15, 7890, 273, 36686, 3902, 342, 247, 3943, 6124, 390, 187, 50273, 11, 3943, 4312, 476, 823, 625, 2605, 28, 275, 643, 2219, 13, 253, 1227, 3429, 13, 1227, 7436, 13, 187, 50273, 11, 1227, 16719, 285, 1227, 6712, 3607, 778, 320, 625, 7763, 15, 187, 50273, 11, 187, 50273, 11, 1214, 3575, 393, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 4612, 967, 18919, 35077, 3577, 52, 4066, 466, 61, 20838, 43129, 61, 35077, 84, 61, 4612, 967, 18919 ]

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

1,024

[ 0, 740, 6257, 854, 21397, 313, 6759, 481, 367, 8634, 40, 15, 575, 615, 443, 41564, 13, 5602, 409, 8666, 4299, 26, 6257, 48962, 313, 19813, 481, 187, 187, 49, 8634, 40, 15, 575, 615, 443, 41564, 13, 5602, 409, 8666, 4299, 26, 6257, 46475, 313, 19813, 481, 187, 187, 46, 15, 575, 4045, 74, 13, 329, 15, 575, 2374, 19385, 13, 500, 15, 575, 9083, 15, 575, 2267, 6181, 4299, 19, 6257, 1668, 2405, 9, 13895, 481, 187, 187, 52, 15, 575, 53, 15, 575, 20643, 1216, 13, 4111, 15, 575, 7498, 15, 444, 4299, 2385, 6257, 495, 29327, 313, 13549, 481, 187, 187, 34, 15, 575, 43, 15, 575, 35438, 460, 13, 308, 15, 575, 36, 15, 575, 45, 538, 561, 4742, 13, 4111, 15, 575, 7498, 15, 575, 38, 4299, 3571, 6257, 16703, 1010, 740, 313, 8971, 481, 187, 187, 51, 15, 575, 49157, 968, 785, 13, 329, 15, 575, 58, 15, 575, 40, 2921, 4978, 13, 714, 15, 575, 51, 25967, 13, 329, 15, 575, 59, 301, 729, 32518, 13, 6943, 16946, 15, 575, 43, 15, 575, 13811, 12971, 6257, 1283, 3677, 313, 6759, 481, 187, 187, 41, 15, 575, 36, 15, 575, 8478, 750, 1342, 13, 30835, 15, 575, 4316, 74, 15, 575, 2632, 15, 575, 13811, 34, 18, 6257, 3435, 313, 41858, 481, 187, 187, 37, 15, 575, 12486, 13, 329, 15, 575, 34, 28034, 1792, 13, 24520, 15, 575, 9083, 15, 575, 43, 15, 575, 38, 4299, 21, 6257, 3285, 313, 8971, 481, 187, 187, 41, 15, 575, 12558, 312, 386, 13, 1680, 83, 15, 575, 43, 15, 575, 29845, 15, 575, 13811, 2504, 6257, 19956, 313, 8602, 481, 187, 187, 41, 15, 575, 12558, 312, 386, 13, 500, 15, 575, 9083, 15, 575, 49497, 15, 575, 43, 16077, 15, 575, 13811, 3141, 6257, 16703, 41441, 313, 7857, 481, 187, 187, 5035, 3921, 9547, 22409, 66, 4622, 17737, 285, 19415, 4367, 2530, 327, 14, 1282, 347, 24864, 2144, 15, 187, 187, 55, 15, 575, 49, 293, 1059, 1321, 13, 427, 15, 575, 19393, 13, 367, 15, 575, 14039, 36366, 13, 353, 15, 575, 45, 15, 575, 44, 300, 4786, 300, 13, 4111, 15, 575, 7498, 15, 575, 21457, 15, 575, 13811, 11335, 6257, 25305, 20914, 313, 7857, 481, 187, 187, 39, 15, 575, 36, 15, 575, 13815, 44, 565, 6934, 13, 329, 15, 575, 43, 15, 575, 35438, 460, 13, 4111, 15, 575, 7498, 15, 575, 21457, 15, 575, 13811, 2313, 6257, 470, 1093, 11238, 313, 8012, 481, 187, 187, 34, 15, 575, 30138, 79, 14, 3251, 463, 87, 13, 714, 15, 575, 22052, 469, 1342, 13, 3055, 5511, 15, 187, 187, 41, 15, 575, 12558, 312, 386, 13, 22725, 27, 1047, 3071, 15, 1099, 2904, 187, 0 ]

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

455

[ 0, 247, 354, 5203, 1984, 326, 310, 417, 253, 5110, 273, 253, 4384, 273, 5203, 2144, 326, 588, 2489, 247, 1755, 3239, 273, 247, 5203, 1984, 281, 320, 604, 253, 21134, 310, 3732, 281, 253, 1755, 2553, 273, 253, 4384, 273, 5203, 2144, 390, 247, 5004, 3239, 273, 247, 5203, 1984, 281, 320, 4447, 604, 253, 21134, 310, 3732, 281, 247, 5004, 2553, 273, 253, 4384, 273, 5203, 2144, 15, 8035, 3213, 3797, 703, 8211, 253, 4384, 273, 5203, 2144, 281, 830, 5203, 7223, 15, 8035, 3213, 3797, 14167, 253, 5203, 7223, 2366, 970, 253, 3732, 21134, 15, 187, 187, 7130, 281, 581, 4809, 273, 253, 13911, 13, 247, 1332, 323, 10264, 247, 354, 5203, 1984, 12093, 10571, 9968, 949, 253, 4384, 273, 5203, 2144, 387, 4569, 8593, 281, 4853, 13358, 13301, 2720, 281, 253, 36976, 247, 896, 254, 390, 3835, 3213, 13, 36976, 581, 273, 247, 896, 254, 390, 247, 3835, 281, 247, 4384, 273, 5203, 2144, 1563, 253, 10571, 9968, 949, 3213, 13, 11993, 4778, 1491, 327, 253, 4384, 273, 5203, 2144, 13, 703, 8211, 253, 4384, 273, 5203, 2144, 281, 830, 5203, 7223, 13, 285, 14167, 253, 5203, 7223, 2366, 15, 187, 187, 7130, 281, 581, 4809, 273, 253, 13911, 13, 247, 1332, 323, 10264, 247, 354, 5203, 1984, 12093, 5277, 247, 4384, 273, 5203, 2144, 1690, 247, 4384, 273, 3473, 7996, 5203, 2144, 5326, 1598, 10259, 1242, 14049, 281, 247, 4384, 273, 36654, 2144, 13, 11993, 4228, 1778, 571, 407, 8136, 253, 4384, 273, 5203, 2144, 949, 387, 1878, 581, 3379, 2522, 326, 21916, 12296, 407, 13214, 10646, 4228, 1778, 571, 310, 11462, 327, 253, 3473, 7996, 5203, 2144, 273, 253, 2530, 4384, 273, 5203, 2144, 13, 3150, 9968, 253, 4384, 273, 5203, 2144, 387, 4569, 8593, 281, 387, 1878, 9619, 2624, 949, 253, 4384, 273, 3473, 7996, 5203, 2144, 533, 417, 281, 2624, 949, 253, 4384, 273, 36654, 2144, 281, 830, 387, 1878, 581, 13358, 5203, 327, 1016, 5110, 273, 253, 4384, 273, 5203, 2144, 326, 588, 2489, 247, 5203, 3239, 275, 247, 354, 5203, 1984, 13, 36976, 581, 273, 247, 896, 254, 390, 247, 3835, 281, 247, 4384, 273, 5203, 2144, 1563, 253, 3150, 9968, 3213, 13, 11993, 4778, 1778, 571, 327, 253, 4384, 273, 5203, 2144, 275, 253, 4328, 273, 1016, 13358, 5203, 13, 703, 8211, 253, 4384, 273, 5203, 2144, 281, 830, 5203, 7223, 13, 285, 14167, 253, 5203, 7223, 2366, 15, 187, 187, 14087, 3386, 285, 11361, 273, 253, 3688, 588, 2489, 5165, 281, 1110, 18024, 275, 253, 1445, 2220, 8180, 273, 253, 1563, 7000, 5740, 273, 247, 9013, 14704, 17449, 5411, 253, 1682, 4438, 273, 8785, 562, 253, 3688, 347, 21654, 12351, 15, 187, 187, 35, 4873, 16462, 20955, 33480, 3481, 3003, 399, 47740, 19212, 187, 187, 510, 3386, 285, 11361, 273, 436, 13911, 13, 285, 253, 5133, 273, 863, 1776, 731, 13, 588, 320, 625, 5165, 285, 1805, 7192, 407, 3806, 281, 253, 1563, 20121, 273, 253, 10557, 3082, 285, 2718, 13, 2668, 275, 17385, 342, 253, 17909, 21780, 13, 10646, 27, 187, 187, 8209, 15, 337, 313, 681, 20733, 36317, 15, 337, 34, 13, 337, 35, 285, 337, 36, 10, 310, 247, 1930, 19099, 1859, 273, 581, 6661, 273, 247, 985, 323, 9046, 247, 11234, 273, 354, 5203, 5098, 28, 187, 187, 8209, 15, 374, 310, 247, 21010, 2098, 1859, 273, 247, 4384, 273, 5203, 2144, 326, 556, 574, 4778, 1778, 571, 11462, 327, 253, 2454, 2144, 285, 11821, 273, 253, 5203, 7996, 2144, 2624, 1977, 285, 5176, 432, 253, 36654, 2144, 13, 247, 896, 254, 7660, 281, 253, 896, 273, 253, 36654, 6944, 253, 5004, 13301, 275, 354, 5203, 5098, 281, 320, 4447, 285, 21134, 4845, 2112, 253, 9297, 273, 253, 4384, 2144, 327, 253, 2454, 273, 1016, 5203, 281, 320, 4447, 326, 310, 417, 281, 320, 247, 1755, 5203, 275, 247, 354, 5203, 1984, 285, 4645, 247, 6661, 273, 253, 4384, 10646, 253, 4384, 778, 320, 2624, 1048, 7128, 3341, 275, 253, 4055, 594, 326, 767, 5203, 5098, 778, 320, 4447, 432, 1016, 14604, 2978, 273, 4384, 2144, 28, 187, 187, 8209, 15, 495, 310, 247, 1930, 19099, 1859, 2668, 2112, 1386, 495, 14, 20, 273, 253, 5110, 273, 253, 4384, 2011, 275, 7705, 15, 374, 1690, 253, 896, 254, 2144, 28, 187, 187, 8209, 15, 577, 310, 247, 24684, 14, 484, 1859, 273, 253, 5110, 273, 253, 4384, 273, 5203, 2144, 26895, 275, 253, 9096, 577, 275, 7705, 15, 495, 28, 187, 187, 8209, 15, 608, 310, 247, 21010, 2098, 1859, 273, 247, 4384, 273, 5203, 2144, 326, 556, 574, 4778, 1778, 571, 11462, 327, 253, 2454, 2144, 285, 11821, 273, 253, 2454, 2144, 2624, 1977, 285, 5176, 432, 253, 36654, 2144, 13, 247, 896, 254, 7660, 281, 253, 896, 273, 253, 36654, 6944, 253, 5004, 5203, 275, 253, 354, 5203, 1984, 281, 320, 4447, 13, 247, 3835, 7660, 281, 253, 2914, 2454, 273, 253, 2454, 273, 253, 5203, 2144, 689, 2943, 253, 1755, 5203, 275, 253, 354, 5203, 1984, 281, 320, 4447, 285, 21134, 4845, 2112, 253, 5024, 273, 253, 4384, 2144, 327, 253, 2454, 273, 1016, 5203, 281, 320, 4447, 533, 417, 327, 253, 3835, 273, 253, 354, 5203, 1984, 28, 187, 187, 8209, 15, 721, 310, 247, 21010, 2098, 1859, 273, 247, 4384, 273, 5203, 2144, 326, 556, 574, 4778, 1778, 571, 11462, 327, 253, 2454, 2144, 285, 11821, 273, 253, 5203, 7996, 2144, 2624, 1977, 285, 5176, 432, 253, 36654, 2144, 13, 247, 3835, 7660, 281, 253, 2914, 2454, 273, 253, 36654, 689, 2943, 253, 1755, 5203, 275, 253, 354, 5203, 1984, 281, 320, 4447, 285, 21134, 4845, 2112, 253, 5024, 273, 253, 4384, 2144, 327, 253, 2454, 273, 1016, 5203, 281, 320, 4447, 533, 417, 327, 253, 3835, 273, 253, 354, 5203, 1984, 28, 187, 187, 8209, 15, 818, 310, 271, 31032, 1859, 273, 247, 21010, 2620, 3239, 5203, 1984, 1907, 247, 896, 254, 28, 187, 187, 8209, 15, 854, 310, 271, 31032, 1859, 273, 247, 21010, 2620, 3239, 5203, 1984, 1907, 247, 2914, 3835, 285, 247, 896, 254, 285, 1690, 46870, 281, 1361, 7895, 253, 5203, 1984, 2366, 28, 187, 187, 8209, 15, 898, 310, 271, 31032, 1859, 273, 247, 21010, 2620, 3239 ]

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

1,024

[ 0, 434, 4869, 7942, 15917, 1268, 15, 50276, 510, 1304, 369, 11205, 387, 2677, 5411, 253, 1268, 273, 23003, 2424, 323, 444, 1934, 281, 2525, 253, 2852, 15917, 6095, 273, 697, 10119, 20820, 285, 387, 8925, 1880, 444, 1934, 434, 15917, 6654, 5780, 846, 370, 23, 15, 23, 3041, 310, 9495, 281, 253, 9526, 310, 10599, 281, 2525, 444, 1934, 434, 2852, 17973, 15, 50276, 510, 1304, 434, 11815, 7960, 17343, 19483, 48, 434, 6803, 13, 15494, 2220, 407, 5759, 275, 18899, 271, 6757, 434, 4869, 7942, 15917, 6654, 13, 273, 752, 15917, 1268, 310, 10599, 323, 253, 4821, 15415, 273, 253, 7264, 90, 6757, 15, 740, 50275, 1231, 5194, 342, 253, 3286, 1302, 326, 5759, 858, 417, 18607, 281, 2430, 253, 9526, 281, 8460, 4187, 323, 1016, 2060, 7264, 90, 6757, 247, 4869, 7942, 15917, 1268, 15, 50276, 39333, 6034, 253, 20066, 8332, 275, 1384, 530, 15, 52, 15, 36, 15, 5466, 15, 15750, 9, 70, 2769, 20, 2769, 34, 2769, 2886, 10, 281, 4647, 760, 604, 5989, 20944, 846, 253, 19483, 48, 1783, 326, 13697, 19483, 48, 434, 10426, 18766, 15, 50276, 1231, 3103, 2186, 326, 253, 9526, 434, 13336, 273, 247, 20066, 762, 5466, 15, 884, 3547, 9, 70, 2769, 20, 2769, 34, 2769, 2886, 10, 369, 417, 10341, 390, 48775, 15, 187, 187, 35, 15, 187, 187, 1166, 187, 39333, 671, 6828, 253, 9526, 281, 1908, 253, 7264, 90, 6757, 434, 5368, 30727, 17973, 285, 281, 4098, 247, 20066, 604, 13, 275, 27090, 15917, 8064, 13, 247, 7264, 90, 6757, 651, 320, 25042, 281, 20835, 247, 30727, 14904, 326, 4419, 253, 6757, 281, 6558, 247, 7616, 1268, 273, 15917, 8064, 15, 50276, 938, 530, 15, 52, 15, 36, 15, 5466, 15, 884, 3547, 9, 70, 2769, 20, 2769, 34, 2769, 12211, 481, 50276, 688, 1329, 273, 697, 2748, 323, 247, 20066, 762, 436, 8332, 13, 444, 1934, 9262, 281, 253, 9526, 247, 3491, 273, 1740, 43646, 90, 20460, 3419, 36559, 313, 6217, 1909, 10, 275, 3490, 875, 444, 1934, 285, 21777, 7988, 15, 883, 50275, 510, 9526, 1119, 326, 253, 3700, 8284, 651, 417, 30705, 444, 1934, 281, 20835, 667, 273, 697, 17973, 762, 253, 9942, 1909, 15, 50276, 38, 1934, 8219, 326, 253, 9526, 434, 7914, 273, 253, 3448, 6221, 275, 1016, 443, 5214, 5001, 247, 5927, 15917, 3187, 6654, 310, 13583, 285, 326, 253, 3700, 8284, 651, 30705, 444, 1934, 281, 20835, 326, 3448, 15, 50276, 1231, 14936, 15, 535, 187, 1093, 187, 510, 9526, 434, 7914, 273, 444, 1934, 434, 30727, 17973, 310, 18212, 4516, 407, 253, 3448, 6221, 275, 7118, 608, 9, 74, 10, 285, 313, 2886, 10, 273, 1016, 443, 5214, 13, 285, 3103, 253, 9526, 434, 13336, 273, 444, 1934, 434, 2748, 323, 247, 20066, 762, 5466, 15, 884, 3547, 9, 70, 2769, 20, 2769, 34, 2769, 12211, 10, 369, 417, 10341, 390, 48775, 15, 50276, 510, 9526, 4879, 326, 443, 5214, 5466, 15, 608, 9, 74, 10, 4419, 444, 1934, 281, 6558, 275, 697, 15917, 3187, 387, 1878, 374, 6, 273, 253, 35778, 8624, 2408, 273, 512, 5974, 15407, 352, 1210, 980, 390, 824, 16277, 2408, 347, 5821, 281, 407, 253, 26234, 459, 23052, 15, 805, 50275, 38, 1934, 8219, 326, 253, 44025, 1962, 13625, 1304, 2297, 684, 667, 6387, 326, 253, 23052, 651, 5194, 281, 247, 15917, 3187, 2708, 374, 6, 273, 253, 35778, 8624, 273, 512, 15407, 19420, 15, 50276, 510, 9526, 27019, 326, 1880, 253, 26234, 459, 23052, 651, 452, 15494, 327, 253, 44025, 1962, 13625, 20553, 310, 15846, 35377, 13, 285, 13, 3103, 13, 253, 44025, 1962, 13625, 1304, 2550, 5752, 347, 247, 3720, 323, 4560, 326, 253, 3700, 8284, 651, 30705, 444, 1934, 281, 20835, 697, 17973, 762, 253, 9942, 1909, 15, 50276, 1231, 5194, 342, 253, 9526, 15, 535, 187, 746, 187, 510, 9526, 434, 4560, 326, 444, 1934, 651, 417, 320, 25042, 281, 20835, 17973, 21681, 281, 21777, 7988, 310, 2007, 4516, 407, 443, 5214, 5466, 15, 608, 9, 2886, 481, 50276, 1552, 2593, 3400, 326, 444, 1934, 778, 760, 897, 253, 15917, 3187, 323, 253, 4096, 273, 34873, 697, 7264, 90, 17973, 13, 1690, 253, 29216, 420, 273, 667, 4400, 16424, 2424, 407, 253, 9526, 15, 50276, 1147, 2007, 3400, 326, 604, 824, 897, 11355, 253, 15917, 3187, 2708, 253, 767, 2558, 5927, 13, 444, 1934, 3091, 1379, 512, 5018, 3309, 281, 15042, 253, 3187, 347, 9086, 347, 2283, 35232, 15, 1012, 50275, 38, 1934, 12148, 326, 14127, 253, 3700, 8284, 310, 417, 247, 11460, 897, 273, 697, 15917, 3187, 762, 443, 5214, 5466, 15, 608, 9, 2886, 10, 984, 352, 16988, 6747, 253, 29216, 420, 273, 4400, 16424, 4543, 253, 43568, 273, 444, 1934, 434, 17973, 346, 20026, 697, 12215, 390, 6503, 273, 5974, 15407, 449, 50274, 1231, 513, 417, 2868, 253, 3448, 275, 443, 5214, 5466, 15, 608, 9, 2886, 10, 310, 594, 3710, 15, 50276, 1231, 5194, 342, 253, 3286, 1302, 326, 253, 11460, 4648, 762, 443, 5214, 5466, 15, 608, 9, 2886, 10, 18387, 512, 17973, 762, 253, 3162, 13, 1690, 253, 3700, 8284, 275, 1384, 530, 15, 52, 15, 36, 15, 5466, 15, 884, 3547, 9, 70, 2769, 19, 481, 50276, 510, 9526, 434, 7914, 273, 443, 5214, 5466, 15, 608, 9, 2886, 10, 347, 6941, 444, 1934, 281, 12539, 2708, 253, 374, 6, 5927, 275, 1340, 281, 10517, 253, 3700, 8284, 13, 347, 1048, 347, 352, 3936, 512, 2283, 35232, 5018, 281, 43692, 763, 253, 3187, 13, 310, 8870, 285, 417, 10341, 390, 48775, 15, 187, 187, 8296, 15, 187, 187, 938, 187, 1231, 1614, 1024, 281, 253, 10281, 2523, 3559, 27, 50276, 20094, 253, 12034, 26340, 281, 253, 23230, 10286, 3162, 1055, 247, 3192, 273, 2867, 1293, 816, 10963, 390, 247, 26367, 273, 2867, 1293, 1955, 1232, 273, 1569, 1561, 253, 4495, 273, 253, 10720, 15129, 15, 1047, 50275, 2214, 253, 4606, 5469, 2708, 359, 1089, 326, 597, 513, 417, 15, 1010, 187, 187, 34, 15, 187, 187, 1797, 187, 38, 1934, 7881, 767, 24715, 5231, 27, 50276, 9, 18, 10, 253, 10056, 273, 253, 12034, 26340, 281, 253, 3162, 534, 2430, 444, 1934, 281, 3700, 370, 23, 15, 23, 3041, 432, 697, 15917, 3187, 281, 253, 9526 ]

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

1,024

[ 0, 41, 30292, 14, 10810, 9675, 15157, 4339, 10197, 9981, 23012, 9780, 947, 353, 25517, 6651, 399, 3271, 15012, 32527, 2697, 16, 37, 6901, 27, 57, 187, 187, 510, 329, 2270, 4898, 14925, 6333, 310, 634, 3662, 323, 13406, 13, 24956, 422, 13, 2316, 14, 26317, 3590, 594, 368, 476, 2793, 1046, 2508, 273, 6313, 1728, 18876, 15, 380, 329, 2270, 8525, 32404, 1615, 2058, 19530, 1227, 399, 6901, 27, 57, 285, 4354, 23417, 285, 17954, 1561, 253, 1755, 273, 634, 3366, 249, 1483, 10784, 17641, 2270, 1549, 13, 17641, 2270, 1449, 285, 17641, 2270, 938, 17999, 13, 14954, 3590, 32372, 13, 534, 310, 840, 11392, 745, 253, 16720, 285, 896, 1066, 281, 634, 14657, 2170, 15, 8969, 6134, 13, 8723, 382, 2216, 15, 831, 310, 752, 37238, 7835, 751, 15, 187, 187, 28614, 5626, 187, 187, 12481, 27695, 707, 187, 187, 19, 187, 187, 56, 11486, 58, 187, 187, 21749, 1406, 982, 411, 35083, 90, 187, 187, 20, 1107, 187, 187, 36, 357, 7795, 411, 35083, 90, 187, 187, 22, 1107, 187, 187, 37, 31785, 411, 35083, 90, 187, 187, 22, 1107, 187, 187, 25494, 367, 3201, 12290, 7214, 187, 187, 4374, 187, 187, 1922, 9981, 23012, 9780, 947, 353, 25517, 6651, 399, 3271, 15012, 32527, 2697, 16, 37, 6901, 27, 57, 187, 187, 12481, 27695, 707, 187, 187, 31826, 187, 187, 48747, 187, 187, 3016, 187, 187, 13881, 187, 187, 20, 15, 1976, 3, 313, 26, 15, 3357, 7892, 10, 187, 187, 12175, 187, 187, 23, 3, 313, 1010, 15, 1348, 7892, 10, 187, 187, 34733, 187, 187, 1012, 3, 313, 1610, 15, 2640, 7892, 10, 187, 187, 25935, 187, 187, 23, 38818, 313, 19, 15, 3547, 15841, 10, 187, 187, 22025, 187, 187, 2422, 6059, 360, 187, 187, 11387, 11782, 32911, 1176, 3018, 187, 187, 9, 18, 10, 337, 3, 313, 19, 15, 3439, 7892, 10, 277, 313, 15654, 10, 1219, 6059, 360, 399, 485, 428, 308, 664, 1715, 187, 187, 9, 18, 10, 577, 15, 22, 3, 313, 883, 15, 3079, 7892, 10, 277, 313, 15654, 10, 428, 11864, 6324, 187, 187, 40091, 6527, 26999, 1556, 7400, 187, 187, 12481, 38544, 19371, 187, 187, 2691, 14878, 19167, 3387, 40516, 187, 187, 9684, 50132, 313, 18, 259, 1595, 1214, 337, 21623, 10, 187, 187, 2511, 15, 22, 29527, 187, 187, 37, 311, 1615, 2058, 19530, 19937, 1245, 708, 399, 6901, 27, 57, 3631, 20497, 187, 187, 3251, 312, 13102, 49661, 1561, 253, 1755, 273, 253, 17641, 2270, 1549, 13, 17641, 2270, 1449, 285, 17641, 2270, 938, 17999, 594, 368, 476, 17347, 275, 3687, 3590, 4898, 15, 187, 187, 2422, 6059, 360, 399, 485, 308, 664, 2521, 187, 187, 36, 18568, 2590, 1029, 84, 3324, 253, 954, 17905, 9797, 281, 1495, 15, 3824, 13660, 2521, 1132, 2169, 275, 4294, 685, 752, 310, 3735, 407, 253, 1966, 2472, 13, 6153, 271, 10501, 21068, 273, 3590, 347, 253, 9558, 31901, 275, 253, 11803, 390, 12699, 7423, 15, 187, 187, 10612, 11802, 26587, 378, 2843, 282, 342, 1889, 7426, 36414, 312, 24969, 187, 187, 39, 2731, 3590, 32372, 13, 18964, 352, 745, 253, 16720, 285, 896, 1066, 281, 634, 14657, 2170, 275, 247, 18996, 6537, 15641, 3102, 13, 31731, 253, 3590, 326, 4558, 15, 187, 187, 9692, 26202, 1037, 4480, 5598, 1997, 4002, 187, 187, 45772, 253, 16105, 13990, 593, 273, 253, 14925, 2216, 1293, 1907, 281, 5386, 247, 14925, 650, 4002, 281, 4264, 3626, 13, 440, 30842, 3590, 15, 187, 187, 49471, 595, 496, 797, 13, 2213, 47872, 14, 14344, 32098, 187, 187, 20431, 1020, 8723, 382, 24624, 342, 12320, 14, 78, 607, 967, 4295, 10513, 247, 18144, 1007, 281, 13503, 253, 954, 15622, 1728, 18876, 15, 380, 9479, 3104, 273, 253, 17641, 26, 933, 12234, 671, 7392, 697, 10799, 3347, 280, 11118, 15, 0 ]

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

625

[ 0, 984, 352, 32743, 16728, 5445, 281, 32996, 15, 475, 3788, 31794, 11, 7218, 4219, 4073, 14, 4919, 34254, 2225, 1336, 824, 347, 34818, 285, 295, 410, 23344, 35594, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 15798, 1656, 475, 3788, 9324, 11, 23123, 253, 4073, 14, 4919, 34254, 34242, 13, 26144, 13, 533, 310, 34885, 1246, 275, 253, 41809, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 39126, 1656, 475, 36, 4639, 18, 11, 285, 475, 37, 18352, 44, 18, 34, 11, 403, 3206, 275, 894, 9025, 285, 9489, 15, 475, 37, 18352, 44, 18, 34, 11, 556, 644, 7939, 281, 253, 3541, 285, 4715, 23835, 2330, 342, 9792, 9237, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 36709, 2947, 2041, 15, 12582, 23, 20954, 15, 709, 41040, 1656, 380, 5780, 1740, 3608, 2796, 3717, 30925, 22, 2992, 475, 46, 4625, 49, 19, 2992, 475, 9431, 1372, 18, 2992, 285, 475, 59, 8016, 27133, 5627, 403, 9464, 21790, 15, 475, 3717, 30925, 22, 11, 285, 475, 46, 4625, 49, 19, 11, 452, 644, 2330, 342, 416, 3592, 434, 50045, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 24581, 7254, 2041, 15, 12582, 23, 20954, 15, 709, 45159, 1656, 475, 59, 8016, 27133, 11, 556, 644, 19588, 275, 24532, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 43008, 1656, 187, 187, 688, 4499, 281, 253, 1781, 3486, 273, 6053, 25576, 27504, 10890, 13, 43829, 10890, 3815, 760, 42876, 27857, 2048, 273, 475, 46, 4625, 49, 19, 2992, 475, 59, 8016, 27133, 11, 285, 475, 41, 3871, 883, 35, 19, 2992, 512, 275, 253, 3884, 273, 2559, 2048, 13, 534, 310, 7285, 281, 253, 3486, 273, 6053, 25576, 27504, 10890, 15, 28776, 13, 253, 475, 484, 11973, 11, 273, 475, 41, 3871, 883, 35, 19, 11, 310, 7285, 281, 253, 1543, 273, 2720, 2175, 326, 2692, 10890, 1066, 1747, 8287, 475, 41, 3871, 883, 35, 19, 299, 11, 89, 10862, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 20570, 2947, 2041, 15, 12582, 23, 20954, 15, 709, 21348, 2947, 2041, 15, 12582, 23, 20954, 15, 709, 46969, 1656, 733, 778, 320, 326, 776, 5426, 273, 6053, 25576, 27504, 10890, 369, 1512, 2087, 13, 275, 4499, 281, 13, 323, 1650, 13, 247, 1077, 13358, 2362, 751, 271, 717, 8311, 40420, 6090, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 41532, 1656, 329, 3626, 15394, 13, 3340, 1690, 271, 6508, 31433, 13, 1537, 320, 1805, 320, 2931, 347, 271, 12680, 43829, 4073, 263, 15, 1723, 13, 436, 8813, 1057, 417, 2395, 323, 2139, 253, 3626, 15394, 651, 3486, 3320, 2048, 275, 253, 7285, 3884, 281, 43829, 10890, 347, 359, 2931, 352, 275, 436, 1263, 15, 11243, 13, 253, 1682, 6452, 310, 281, 320, 1669, 12371, 387, 253, 2570, 285, 7870, 4088, 275, 534, 4073, 275, 512, 697, 4948, 4620, 281, 3486, 253, 41809, 2581, 685, 10263, 2969, 13, 440, 301, 30869, 285, 5141, 2531, 11815, 15, 187, 187, 9340, 432, 776, 5016, 1783, 1804, 247, 7792, 273, 7870, 10454, 15, 1198, 2620, 273, 253, 4314, 3608, 34122, 407, 6053, 25576, 27504, 10890, 3815, 2796, 36, 4639, 18, 2992, 475, 37, 18352, 44, 18, 34, 2992, 475, 41, 3871, 883, 35, 19, 2992, 475, 3788, 31794, 2992, 285, 475, 9431, 1372, 18, 17931, 10290, 43829, 10890, 5420, 281, 3635, 1419, 253, 1055, 273, 6053, 25576, 27504, 10890, 824, 326, 760, 253, 11578, 390, 4855, 43829, 10890, 2390, 2692, 1534, 23082, 275, 3320, 2048, 2330, 342, 27784, 10890, 15, 475, 3717, 30925, 22, 11, 285, 475, 46, 4625, 49, 19, 11, 2692, 247, 2074, 906, 2167, 760, 253, 4855, 390, 253, 11578, 43829, 10890, 1387, 13, 2975, 13, 2692, 3012, 1027, 5998, 16888, 2097, 275, 3320, 2048, 15, 475, 8768, 37494, 18, 2992, 475, 10189, 20, 36, 18, 11, 285, 475, 10189, 20, 36, 19, 11, 2692, 247, 12955, 273, 253, 3102, 275, 534, 253, 4559, 5034, 43829, 10890, 1387, 2692, 247, 1534, 390, 42876, 1534, 2572, 275, 3320, 2048, 15, 29637, 49, 18, 310, 247, 9464, 1234, 32232, 3206, 275, 3998, 1159, 285, 6551, 27055, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 44675, 1656, 1219, 3606, 2308, 273, 475, 8768, 37494, 18, 11, 2048, 452, 644, 7939, 281, 10969, 6551, 27055, 285, 27734, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 45197, 7254, 2041, 15, 12582, 23, 20954, 15, 709, 38823, 1656, 475, 10189, 20, 36, 18, 11, 285, 475, 10189, 20, 36, 19, 11, 4711, 253, 44154, 1238, 285, 17160, 35612, 1238, 10185, 13, 534, 8980, 281, 32996, 13, 285, 778, 2572, 7340, 281, 44154, 9448, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 12058, 1184, 285, 14368, 2048, 273, 475, 41, 3871, 883, 35, 19, 11, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 21940, 1656, 1583, 403, 690, 273, 253, 954, 7561, 5421, 3608, 285, 3839, 452, 644, 1119, 281, 6379, 275, 2048, 275, 2380, 281, 38977, 4073, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 39703, 1656, 187, 187, 10971, 13, 475, 1311, 41, 7282, 2992, 534, 23123, 253, 4073, 2380, 407, 4865, 281, 26505, 41916, 249, 14, 11235, 2355, 14689, 1254, 2041, 15, 12582, 23, 20954, 15, 709, 44238, 7254, 2041, 15, 12582, 23, 20954, 15, 709, 41280, 5413, 369, 253, 581, 3320, 326, 4197, 247, 34249, 533, 2905, 3102, 281, 253, 2571, 15, 733, 369, 475, 3487, 10088, 11, 275, 2380, 281, 43829, 10890, 533, 5420, 281, 956, 247, 15340, 40511, 13, 28483, 14, 54, 16745, 3102, 13, 4795, 275, 253, 10290, 43829, 10890, 1387, 1907, 253, 4585, 3388, 3320, 2048, 2308, 15, 1723, 13, 6747, 2022, 1055, 273, 6053, 25576, 27504, 10890, 4543, 253, 5016, 342, 43829, 10890, 12059, 697, 2048, 15, 187, 187, 510, 5016, 6260, 1804, 326, 10290, 13, 43829, 10890, 778, 6885, 344, 41809, 432, 6053, 25576, 27504, 10890, 28, 5727, 13, 1698, 43829, 10890, 1669, 253, 41809, 440, 35711, 13, 285, 1029, 43829, 10890, 778, 452, 29991, 253, 41809, 434, 13761, 323, 4073, 15, 380, 6387, 326, 10290, 43829, 10890, 1537, 6391, 253, 41809, 432, 6053, 25576, 27504, 10890, 369, 17683, 407, 2710, 11813, 42221, 762, 253, 9753, 267, 42321, 968, 273, 4775, 285, 18742, 9079, 313, 37, 8575, 66, 37, 10, 1254, 2041, 15, 12582 ]

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

1,024

[ 0, 24288, 13, 399, 904, 1162, 355, 15, 5826, 13, 1157, 721, 1630, 13, 32479, 473, 684, 13, 322, 15, 416, 904, 2325, 472, 3062, 13, 329, 15, 367, 904, 23253, 13, 322, 15, 308, 904, 1162, 355, 15, 4332, 13, 443, 14546, 5819, 904, 17115, 1010, 10703, 13, 611, 15, 418, 904, 17486, 2955, 2577, 13, 322, 15, 399, 904, 2325, 472, 3062, 13, 329, 15, 367, 904, 1162, 355, 15, 4332, 13, 443, 14546, 5819, 904, 7346, 2055, 27523, 13, 322, 15, 500, 904, 708, 3050, 1272, 1173, 13, 353, 15, 657, 15, 4332, 13, 22725, 27, 9199, 23, 15, 2385, 2787, 27523, 13, 322, 15, 500, 904, 367, 837, 522, 22194, 2960, 13, 322, 904, 708, 3050, 1272, 1173, 13, 353, 15, 657, 15, 4267, 13, 1157, 48396, 13, 818, 1540, 19571, 67, 40176, 13, 443, 904, 708, 10315, 1342, 13, 329, 15, 367, 904, 13842, 13, 7754, 18168, 12639, 265, 275, 36737, 982, 313, 4257, 2816, 27, 19516, 600, 5383, 21559, 10, 13675, 76, 3770, 6356, 249, 13, 329, 15, 329, 904, 18544, 2205, 13, 322, 15, 330, 904, 43789, 2146, 13, 322, 15, 401, 904, 13648, 251, 13, 500, 15, 329, 904, 708, 3044, 31174, 13, 500, 15, 330, 15, 6157, 13, 1157, 47882, 13, 32193, 3697, 663, 413, 9141, 13, 416, 15, 11161, 66, 13, 1157, 34128, 13, 30188, 3697, 663, 413, 9141, 13, 416, 15, 11161, 67, 13, 1157, 34128, 13, 27318, 1500, 13, 1503, 8634, 52, 904, 708, 2070, 306, 1452, 13, 444, 15, 9354, 13, 4111, 15, 3555, 15, 12464, 904, 8187, 13, 34128, 322, 2002, 74, 13, 418, 904, 708, 2101, 262, 17131, 13456, 13, 329, 15, 4748, 13, 1157, 48071, 13, 418, 4529, 659, 1403, 274, 91, 13, 418, 904, 708, 8939, 2921, 757, 13, 657, 15, 4695, 13, 1157, 721, 3593, 13, 1722, 1099, 16219, 13, 367, 15, 388, 15, 308, 904, 708, 13591, 13, 329, 15, 611, 15, 388, 15, 4332, 13, 443, 14546, 5819, 904, 7346, 4148, 308, 3691, 13, 611, 904, 23847, 13, 1594, 8634, 39, 904, 708, 353, 5069, 91, 1757, 2921, 13, 367, 15, 4748, 13, 1157, 48071, 13, 11858, 21, 17868, 13, 1594, 15, 714, 904, 399, 2284, 13, 1503, 15, 443, 904, 708, 7511, 13, 308, 15, 6585, 13, 1157, 43229, 13, 418, 1610, 17868, 13, 1594, 15, 714, 904, 8182, 13, 1503, 904, 708, 353, 5069, 91, 1757, 2921, 13, 367, 15, 5403, 13, 1157, 721, 3156, 13, 11289, 22114, 13, 378, 904, 708, 353, 5069, 91, 1757, 2921, 13, 367, 15, 6585, 13, 1157, 47534, 13, 9199, 1503, 276, 13, 714, 15, 330, 904, 29531, 13, 714, 15, 1503, 904, 708, 25017, 266, 13, 308, 15, 4748, 13, 1157, 38024, 13, 12035, 20, 187, 187, 3138, 26559, 273, 253, 773, 13670, 14, 249, 14, 13670, 3, 10076, 15, 380, 33217, 1232, 6634, 846, 6966, 18634, 15, 380, 10713, 29602, 2803, 273, 253, 9942, 35, 11720, 310, 669, 4220, 64, 75, 1352, 380, 2494, 49728, 342, 697, 1054, 1944, 292, 556, 253, 29602, 2803, 669, 4220, 64, 70, 1366, 285, 669, 4220, 64, 70, 61, 3549, 393, 4220, 64, 85, 1366, 835, 669, 4220, 64, 85, 5, 310, 253, 29602, 2803, 273, 32125, 15, 905, 926, 18, 45662, 1222, 1944, 292, 15, 793, 10, 187, 187, 3138, 43, 4069, 285, 500, 4061, 7742, 273, 9942, 35, 2233, 48694, 34, 15, 380, 21899, 941, 432, 1214, 357, 3088, 883, 403, 17007, 407, 4891, 19325, 313, 57, 4708, 941, 582, 4891, 30102, 313, 35, 1194, 941, 582, 285, 4891, 14240, 313, 45, 1194, 941, 481, 380, 906, 273, 480, 4069, 7742, 342, 253, 9879, 14679, 470, 15, 1348, 310, 17007, 407, 247, 20134, 14, 46774, 1386, 15, 380, 500, 4061, 1543, 5118, 970, 247, 6804, 8609, 14, 4160, 35684, 6488, 2341, 3268, 313, 28821, 407, 40242, 313, 20, 10, 708, 313, 21, 1228, 403, 2011, 27, 247, 4891, 1386, 12853, 253, 500, 4061, 906, 275, 253, 1083, 273, 669, 2733, 1126, 1109, 92, 4090, 15243, 740, 63, 23, 5, 285, 247, 24817, 1386, 12853, 253, 500, 4061, 906, 275, 253, 1083, 273, 669, 2733, 1126, 1109, 92, 4090, 15243, 22, 61, 3181, 884, 63, 22, 1352, 1198, 5301, 13, 253, 500, 4061, 906, 5118, 970, 247, 1612, 14, 6937, 6488, 2341, 3268, 11443, 2733, 1126, 1109, 92, 1222, 29270, 2733, 1126, 1109, 92, 79, 394, 15243, 740, 63, 20, 13, 187, 61, 2733, 1126, 1109, 92, 4090, 15243, 740, 63, 23, 7884, 310, 17007, 407, 247, 17889, 1386, 15, 905, 926, 19, 45662, 2203, 15, 793, 10, 187, 187, 5180, 18, 5218, 380, 19645, 7313, 273, 3921, 44756, 4622, 285, 3921, 7510, 23611, 4622, 16, 45, 1194, 497, 2684, 327, 9942, 35, 9199, 32149, 34, 1008, 6377, 883, 28, 1214, 737, 22651, 883, 28, 1214, 85, 312, 883, 62, 285, 9942, 35, 9199, 24, 2405, 34, 1008, 80, 684, 883, 28, 1214, 3381, 32719, 883, 28, 1214, 737, 22651, 883, 1570, 844, 3524, 326, 2852, 3863, 941, 476, 2085, 625, 10806, 327, 776, 1566, 15, 187, 0 ]

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

835

[ 0, 11387, 4212, 187, 187, 52, 4595, 598, 3319, 4580, 253, 5500, 15, 5706, 1075, 2, 359, 971, 281, 8276, 368, 326, 20512, 6843, 1491, 1537, 320, 1119, 327, 436, 4422, 13, 352, 671, 3797, 4859, 281, 16921, 4375, 15, 35404, 253, 21220, 298, 478, 5781, 4691, 1479, 665, 588, 320, 2326, 1937, 15, 1176, 512, 3570, 10827, 15, 411, 5163, 417, 13, 1060, 403, 690, 5768, 3740, 27170, 5697, 13, 5768, 8142, 13, 5768, 32724, 13, 7203, 46881, 281, 1056, 368, 1007, 27973, 285, 25594, 15, 9985, 253, 1682, 23394, 893, 74, 3676, 38088, 255, 10556, 987, 1060, 285, 9413, 2139, 15, 187, 187, 8983, 15034, 187, 187, 2993, 29566, 4882, 436, 7321, 2500, 2131, 2165, 15, 378, 41265, 20453, 30409, 6385, 4019, 4916, 253, 5500, 301, 323, 15, 14815, 2389, 281, 298, 781, 617, 846, 15, 0 ]

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

139

[ 0, 19214, 8170, 187, 187, 19214, 4255, 187, 187, 4125, 22955, 272, 1623, 27, 187, 187, 9684, 4714, 3264, 281, 8171, 14188, 272, 17761, 327, 22970, 187, 187, 9684, 4714, 3264, 281, 8171, 14188, 272, 17761, 327, 22970, 187, 187, 17835, 187, 187, 17148, 187, 187, 6300, 249, 28200, 12474, 521, 2323, 281, 849, 344, 369, 5439, 15, 187, 187, 3463, 187, 16, 187, 93, 187, 187, 23704, 1267, 1139, 1969, 380, 15123, 2921, 4500, 264, 2626, 1666, 11155, 12429, 14188, 272, 17761, 281, 36216, 14, 34, 17360, 3228, 1563, 6926, 434, 2165, 13, 285, 7205, 13105, 28750, 753, 562, 33299, 20839, 28200, 651, 320, 10564, 281, 1379, 521, 22970, 6308, 327, 6794, 604, 521, 31279, 6884, 294, 8621, 42851, 347, 9355, 15, 187, 187, 9684, 4714, 13, 327, 253, 13603, 1618, 1580, 3978, 3436, 342, 13155, 8248, 275, 521, 1669, 23469, 13, 310, 327, 247, 47467, 387, 17360, 3228, 13, 1469, 470, 14, 1542, 14, 21, 1223, 4983, 275, 4055, 1673, 327, 6926, 275, 1457, 20159, 15, 754, 434, 374, 14, 1542, 14, 740, 275, 1264, 3958, 187, 187, 9684, 4714, 13, 665, 556, 4314, 2860, 398, 275, 760, 16493, 387, 14, 67, 1832, 323, 253, 15123, 2921, 13, 369, 8927, 1469, 281, 452, 5869, 1078, 11576, 8191, 779, 253, 5199, 369, 625, 16529, 685, 3786, 1869, 285, 651, 2430, 247, 767, 14, 7791, 7355, 15, 187, 187, 17004, 272, 17761, 13, 9288, 407, 253, 15123, 2921, 327, 8330, 432, 253, 46847, 968, 275, 253, 23316, 8652, 5454, 13, 5420, 275, 1740, 3958, 285, 369, 374, 14, 1542, 14, 25, 15, 28750, 753, 11007, 7902, 651, 14518, 896, 281, 2626, 2613, 846, 4882, 806, 253, 2469, 1740, 3958, 13, 534, 812, 29238, 253, 1039, 323, 36604, 25458, 281, 320, 1925, 598, 285, 1265, 387, 806, 2613, 275, 253, 1273, 2716, 15, 187, 187, 17624, 13121, 2398, 6481, 36800, 313, 42077, 1701, 987, 27770, 10, 556, 4546, 275, 1903, 3958, 275, 521, 31279, 6884, 294, 8621, 47467, 387, 17360, 3228, 13, 533, 253, 15123, 2921, 403, 2779, 281, 1978, 779, 627, 8003, 281, 253, 1384, 14, 13197, 4869, 323, 294, 73, 5375, 15, 187, 187, 2773, 4245, 36800, 253, 5107, 281, 755, 690, 6508, 4882, 673, 387, 253, 36216, 14, 34, 1268, 13, 534, 344, 476, 626, 513, 672, 5875, 13, 984, 344, 434, 247, 7804, 608, 2619, 285, 556, 281, 3297, 327, 253, 2030, 14, 1342, 22970, 390, 13603, 1618, 512, 2952, 15, 754, 369, 16116, 964, 25745, 313, 805, 14, 1542, 14, 2405, 10, 323, 253, 4410, 35034, 661, 15, 0 ]

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

423

[ 0, 10708, 1481, 7053, 15, 19417, 17523, 84, 15, 29284, 1080, 15, 7873, 9111, 4396, 3378, 52, 4219, 28, 187, 187, 4387, 966, 7659, 2320, 8725, 31508, 486, 551, 187, 186, 4387, 7659, 2320, 1082, 551, 996, 186, 10008, 426, 346, 9150, 2320, 33753, 3664, 187, 186, 94, 19668, 186, 4387, 4021, 2105, 1082, 551, 996, 186, 2309, 337, 15, 1762, 28, 187, 186, 94, 187, 94, 535, 0 ]

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

69

[ 0, 298, 426, 3210, 15, 3985, 28, 891, 654, 298, 28, 891, 9234, 551, 187, 50270, 46707, 426, 3210, 60, 74, 62, 2785, 25425, 187, 50270, 338, 313, 46707, 31979, 10031, 10, 551, 187, 50268, 301, 426, 1566, 426, 863, 2967, 28, 187, 50270, 94, 2010, 551, 187, 50268, 301, 426, 863, 2967, 60, 7831, 7104, 15, 18834, 15, 301, 11756, 2785, 686, 301, 22734, 187, 50270, 94, 535, 50270, 605, 1310, 247, 21036, 310, 1119, 13, 3657, 352, 432, 1146, 2879, 285, 187, 50270, 605, 33323, 17310, 352, 715, 253, 5368, 1566, 15, 187, 50270, 338, 313, 20137, 426, 436, 15, 788, 9, 301, 1228, 551, 187, 50268, 338, 313, 12163, 10, 1566, 6648, 60, 20137, 15, 68, 301, 62, 426, 2032, 28, 187, 50268, 338, 313, 27814, 10, 551, 187, 50266, 46707, 426, 863, 2967, 11013, 1566, 3736, 1566, 15, 26059, 1163, 863, 2967, 28, 187, 50266, 338, 313, 10121, 15, 12083, 10, 863, 2967, 426, 5368, 15, 12083, 9, 46707, 13, 4610, 558, 187, 50266, 20137, 15, 1178, 9, 46707, 13, 4610, 558, 187, 50266, 338, 313, 15227, 494, 3857, 2195, 15227, 3857, 5368, 15, 7110, 17196, 9, 15227, 27547, 1228, 3686, 426, 2032, 28, 187, 50268, 94, 187, 50268, 19286, 60, 74, 62, 426, 5368, 28, 535, 50270, 605, 1310, 436, 310, 247, 747, 13, 3588, 1566, 13, 7450, 352, 281, 253, 2634, 936, 4717, 65, 1618, 15, 187, 50270, 94, 2010, 604, 313, 1911, 10, 551, 187, 50268, 7645, 426, 3210, 60, 74, 62, 426, 436, 3333, 35837, 7104, 9, 46707, 13, 4610, 558, 187, 50268, 338, 6522, 7645, 10, 4035, 28, 187, 50268, 936, 4717, 15, 11340, 9, 7645, 558, 187, 50268, 2520, 3333, 1911, 12905, 9, 7645, 13, 4610, 558, 187, 50270, 94, 535, 50270, 605, 3166, 417, 823, 2709, 3210, 342, 253, 1072, 2634, 301, 16433, 187, 50270, 7645, 426, 5368, 2785, 1566, 28, 187, 50270, 338, 313, 2621, 3857, 313, 7645, 15, 261, 4257, 1082, 2785, 2195, 7645, 6648, 60, 7645, 15, 301, 27829, 1340, 15, 11340, 9, 7645, 558, 187, 50270, 7645, 6648, 60, 7645, 15, 301, 62, 426, 2032, 28, 187, 50272, 94, 535, 50272, 605, 20004, 44382, 6688, 3210, 604, 4569, 15, 187, 50272, 338, 313, 12163, 10, 551, 187, 50270, 1542, 313, 74, 426, 470, 13, 298, 426, 436, 15, 3985, 28, 891, 654, 298, 28, 12996, 74, 10, 551, 187, 50268, 338, 6522, 7645, 6648, 15830, 7645, 426, 436, 15, 19286, 60, 74, 2498, 68, 301, 3291, 281, 21605, 15, 11340, 9, 7645, 558, 187, 50270, 94, 187, 50270, 338, 313, 936, 21605, 15, 3985, 10, 436, 15, 12163, 9, 936, 21605, 13, 4610, 558, 187, 50272, 94, 535, 50272, 605, 2594, 604, 23762, 310, 3058, 13, 5731, 2634, 3985, 65, 285, 37690, 275, 747, 3210, 15, 187, 50272, 338, 313, 936, 4717, 15, 3985, 2785, 313, 2621, 3857, 1340, 15, 3985, 1228, 551, 187, 50270, 338, 313, 15227, 494, 10, 3686, 426, 2032, 28, 187, 50270, 2520, 15, 3985, 7079, 281, 4717, 15, 3985, 28, 187, 50270, 338, 313, 255, 3613, 3635, 10, 551, 187, 50268, 1542, 313, 74, 426, 470, 13, 298, 426, 281, 4717, 15, 3985, 28, 891, 654, 298, 28, 891, 9234, 551, 187, 50266, 2520, 15, 19286, 15, 23336, 547, 9, 255, 559, 891, 13, 470, 13, 281, 4717, 60, 74, 9259, 187, 50268, 94, 187, 50270, 94, 2010, 551, 187, 50268, 338, 313, 2621, 10, 436, 15, 19286, 15, 3985, 426, 470, 28, 187, 50268, 2044, 6960, 37748, 426, 1340, 2785, 281, 4717, 28, 187, 50268, 1542, 313, 74, 426, 470, 13, 298, 426, 6960, 37748, 15, 3985, 28, 891, 654, 298, 28, 891, 9234, 551, 187, 50266, 2520, 15, 19286, 15, 11340, 9, 16586, 37748, 60, 74, 9259, 187, 50268, 94, 187, 50270, 94, 187, 50272, 94, 535, 50272, 605, 7949, 1574, 3686, 253, 4849, 604, 4569, 15, 187, 50272, 338, 313, 15227, 10, 436, 15, 15227, 7506, 17525, 290, 27, 2032, 9897, 535, 50272, 605, 15999, 46616, 13, 352, 434, 673, 281, 3289, 512, 4569, 823, 16, 15227, 3394, 15, 187, 50272, 338, 6522, 10121, 15, 17525, 290, 10, 551, 187, 50270, 1542, 313, 74, 426, 470, 13, 298, 426, 281, 4717, 15, 3985, 28, 891, 654, 298, 28, 891, 9234, 551, 187, 50268, 9, 7645, 426, 281, 4717, 60, 74, 2498, 29363, 2073, 1911, 1383, 1566, 13, 436, 13, 4610, 558, 187, 50270, 94, 187, 50270, 338, 313, 15227, 2785, 313, 2621, 3857, 1340, 15, 3985, 1228, 436, 15, 29363, 2073, 15227, 1383, 436, 13, 4610, 558, 187, 50272, 94, 535, 50272, 605, 16140, 253, 2879, 313, 263, 21884, 10, 1566, 313, 263, 3210, 481, 187, 50272, 2309, 11098, 3736, 3210, 60, 17, 62, 1163, 3210, 28, 187, 50274, 2023, 535, 50274, 605, 2091, 368, 452, 625, 4957, 685, 368, 971, 281, 823, 390, 5386, 15978, 13, 187, 50274, 605, 368, 476, 14932, 253, 2862, 873, 342, 247, 747, 1618, 273, 3210, 13, 1293, 14954, 187, 50274, 605, 667, 32449, 2634, 1911, 65, 390, 2634, 12163, 65, 3394, 15, 401, 2731, 2634, 19511, 65, 672, 6699, 15, 187, 50274, 605, 7890, 1020, 323, 10713, 5871, 285, 5556, 5904, 15, 187, 50274, 19511, 27, 1159, 9, 19286, 13, 4610, 10, 551, 187, 50272, 10121, 2785, 313, 10121, 426, 551, 9897, 187, 50272, 1542, 313, 2044, 891, 426, 470, 13, 298, 426, 436, 15, 19286, 15, 3985, 28, 891, 654, 298, 28, 891, 9234, 551, 187, 50270, 2520, 3333, 12163, 12905, 9, 2520, 15, 19286, 60, 74, 1092, 4610, 558, 187, 50272, 94, 187, 50272, 10121, 15, 35065, 37748, 426, 436, 15, 19286, 28, 187, 50272, 2520, 3333, 19511, 1874, 187, 50272, 19286, 426, 436, 15, 1911, 9, 19286, 13, 42315, 31930, 7506, 17525, 290, 27, 2032, 2023, 4610, 4027, 187, 50272, 338, 6522, 10121, 15, 17525, 290, 10, 436, 15, 29363, 2073, 19511, 1383, 436, 13, 4610, 558, 187, 50272, 2309, 3210, 28, 187, 50274, 2023, 535, 50274, 605, 5733, 247, 1566, 281, 253, 990, 273, 253, 4849, 15, 187, 50274, 11340, 27, 1159, 9, 7645, 13, 4610, 10, 551, 187, 50272, 2309, 436, 15, 1911, 9, 7645, 13, 42315, 31930, 7506, 255, 27, 436, 15, 3985, 2023, 4610, 4027, 187, 50274 ]

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

1,024

[ 0, 37, 16046, 21585, 27, 2836, 285, 1089, 29383, 771, 1049, 76, 5740, 187, 187, 16560, 3532, 16533, 18346, 187, 187, 41, 16970, 29621, 27, 187, 187, 2347, 281, 28771, 27, 187, 187, 37, 16046, 21585, 310, 271, 12423, 796, 2165, 835, 368, 2836, 323, 18153, 29383, 13, 34779, 13, 5328, 2866, 9613, 17170, 634, 4736, 13, 368, 476, 1973, 14395, 534, 588, 1056, 634, 5145, 1805, 285, 10046, 2, 187, 187, 9264, 6061, 374, 15, 22, 3041, 38661, 3645, 4363, 2, 14244, 187, 187, 35, 999, 609, 2167, 13, 347, 253, 1854, 281, 19994, 310, 6898, 342, 30678, 2, 1244, 672, 368, 4720, 1056, 352, 281, 253, 5004, 13, 253, 773, 35, 1730, 668, 588, 3343, 323, 368, 627, 2, 187, 187, 2042, 368, 751, 28063, 3958, 13, 436, 2165, 310, 323, 368, 2, 187, 187, 17756, 13, 6184, 1024, 285, 1265, 281, 4908, 18153, 29383, 13, 253, 954, 9865, 273, 534, 310, 1108, 20352, 265, 297, 614, 15, 187, 187, 158, 240, 233, 29621, 3384, 240, 233, 187, 158, 241, 99, 2456, 18153, 3510, 273, 29383, 313, 27716, 13, 34779, 13, 7692, 447, 13, 4691, 607, 3254, 2866, 582, 534, 368, 476, 5580, 285, 3157, 11568, 4233, 342, 253, 12431, 2583, 187, 158, 241, 99, 898, 2308, 273, 11701, 13, 534, 588, 1056, 634, 11568, 4233, 1014, 1805, 187, 158, 241, 99, 747, 13, 577, 6509, 447, 273, 639, 8122, 2836, 7276, 187, 158, 241, 99, 374, 1781, 19076, 20490, 13, 534, 6131, 625, 30678, 285, 25926, 342, 1046, 2836, 187, 158, 241, 99, 608, 5231, 534, 368, 476, 897, 1309, 634, 9455, 187, 158, 241, 99, 747, 285, 5520, 5673, 187, 158, 241, 99, 32196, 533, 17905, 30355, 187, 158, 241, 99, 15034, 323, 3477, 3186, 273, 747, 14395, 187, 158, 241, 99, 247, 2257, 273, 21468, 13, 835, 368, 476, 5206, 634, 10921, 1108, 2057, 34779, 390, 1633, 2010, 187, 187, 510, 2165, 310, 7648, 281, 1132, 2, 187, 187, 37698, 776, 3565, 42498, 1108, 3944, 1358, 2700, 15, 1761, 301, 39464, 14091, 900, 15, 681, 187, 9817, 441, 327, 6745, 1108, 5987, 1358, 2700, 15, 24557, 15, 681, 16, 11174, 72, 693, 12627, 187, 9867, 562, 625, 670, 253, 3958, 359, 1056, 327, 776, 5311, 1108, 3944, 1358, 1761, 301, 39464, 14091, 900, 15, 681, 16, 14267, 16, 9198, 16, 187, 187, 510, 2165, 4648, 2494, 35238, 285, 16557, 15, 187, 1276, 4391, 27, 187, 1253, 1355, 3045, 7756, 187, 1253, 7505, 18505, 0 ]

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

409

[ 0, 5564, 27, 25526, 187, 1532, 187, 881, 27, 1332, 187, 1532, 187, 33568, 27, 2362, 13, 1401, 24124, 187, 1532, 187, 8774, 27, 4825, 953, 247, 15191, 2173, 2362, 15, 187, 1532, 187, 2915, 27, 187, 187, 1552, 1332, 476, 320, 908, 281, 25526, 271, 2362, 326, 643, 28437, 476, 10584, 15, 50276, 510, 187, 8045, 1416, 310, 638, 20188, 342, 253, 15191, 5417, 15, 187, 187, 817, 18466, 187, 187, 11202, 16659, 187, 4064, 458, 5751, 263, 15, 24111, 2468, 1395, 49366, 535, 187, 2437, 2752, 23836, 9, 23836, 2262, 535, 50274, 1545, 327, 64, 12540, 64, 23320, 9, 1286, 13, 1401, 24124, 2262, 187, 50270, 1286, 15, 35999, 2073, 23320, 1383, 17374, 30, 2945, 10, 187, 11202, 187, 187, 8195, 15191, 476, 840, 10584, 436, 27, 187, 187, 11202, 16659, 187, 4064, 458, 5751, 263, 15, 24111, 2468, 1395, 49366, 535, 187, 2437, 2752, 23836, 9, 23836, 2262, 535, 50274, 1545, 327, 64, 2577, 64, 16895, 64, 23320, 9, 1286, 13, 17374, 13, 1401, 24124, 2262, 187, 50270, 3845, 2073, 19559, 2462, 84, 8, 2462, 17374, 10, 187, 11202, 187, 187, 9, 1552, 19584, 253, 15191, 2654, 310, 873, 281, 2634, 2577, 14, 16895, 65, 275, 2634, 23320, 15, 4789, 27362, 187, 0 ]

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

206

[ 0, 24305, 78, 17083, 9099, 273, 253, 8570, 273, 247, 557, 335, 545, 504, 9729, 432, 23394, 12865, 601, 23682, 15, 187, 21956, 451, 13733, 46636, 41696, 4679, 347, 247, 1159, 273, 8487, 452, 644, 4824, 562, 323, 7925, 23394, 7238, 3168, 12865, 601, 23682, 285, 247, 1264, 14, 3431, 335, 545, 504, 4309, 313, 5883, 23, 13, 11946, 14, 314, 601, 23682, 481, 380, 1543, 5224, 326, 253, 994, 5590, 4789, 313, 3005, 388, 23558, 10, 285, 4250, 5350, 2544, 313, 3005, 29049, 10, 323, 40132, 403, 8244, 2074, 323, 253, 767, 4324, 15, 831, 2722, 326, 253, 6832, 5141, 313, 1099, 7759, 330, 387, 8487, 495, 15, 25, 10, 275, 308, 78, 4795, 432, 8570, 273, 253, 721, 14, 11946, 557, 335, 545, 504, 5533, 476, 13, 281, 247, 1175, 11193, 13, 320, 12877, 9106, 281, 271, 2572, 275, 253, 15579, 3064, 875, 253, 7925, 285, 1850, 30387, 3054, 15, 380, 8453, 273, 436, 906, 323, 4685, 253, 2616, 29189, 253, 7882, 273, 20618, 4324, 310, 5469, 15, 0 ]

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

171

[ 0, 605, 41415, 407, 33753, 9026, 337, 15, 24, 15, 18, 187, 9, 3701, 1082, 551, 187, 50276, 2044, 24217, 13, 604, 1000, 13, 19736, 83, 13, 4710, 1000, 13, 246, 338, 1000, 13, 187, 50274, 876, 27494, 426, 544, 1570, 27494, 28, 535, 50276, 338, 1000, 426, 1159, 9, 24796, 13, 18382, 10, 551, 187, 50274, 2309, 1159, 1082, 551, 187, 50272, 2044, 247, 13, 1486, 28, 187, 50272, 1000, 426, 7125, 60, 17, 1092, 247, 426, 374, 11049, 7125, 15, 3985, 3736, 4772, 27494, 15, 4065, 9, 31126, 13, 337, 10, 1163, 26991, 187, 50272, 338, 313, 1000, 3613, 3635, 10, 551, 187, 50270, 2309, 1891, 9, 1000, 558, 187, 50272, 94, 2010, 551, 187, 50270, 2309, 29144, 18382, 11013, 346, 3701, 3, 3736, 18382, 15, 18788, 9, 8629, 13, 247, 10, 1163, 2991, 470, 28, 187, 50272, 94, 187, 50274, 4718, 187, 50276, 4718, 535, 50276, 40165, 1000, 426, 1159, 9, 24796, 13, 18382, 10, 551, 187, 50274, 2309, 604, 1000, 9, 24796, 13, 1159, 1082, 551, 187, 50272, 2044, 247, 13, 1486, 28, 187, 50272, 66, 426, 337, 11049, 7125, 15, 3985, 3736, 4772, 27494, 15, 4065, 9, 31126, 13, 470, 10, 1163, 26991, 187, 50272, 14626, 551, 187, 50270, 2309, 18382, 15, 18788, 9, 8629, 13, 247, 558, 187, 50272, 94, 5834, 18339, 3775, 10, 551, 187, 50270, 1000, 426, 795, 3775, 28, 187, 50270, 2309, 1891, 9, 1000, 558, 187, 50272, 94, 187, 50274, 9897, 187, 50276, 4718, 535, 50276, 22408, 1000, 426, 604, 1000, 15, 13245, 9, 8629, 13, 1159, 9, 1000, 10, 551, 187, 50274, 22408, 1486, 28, 187, 50276, 9897, 535, 50276, 1087, 2388, 83, 426, 604, 1000, 9, 3701, 9, 1000, 10, 551, 187, 50274, 2309, 9667, 15, 3775, 9, 1000, 15, 9742, 2785, 1486, 558, 187, 50276, 9897, 535, 50276, 8640, 15, 23756, 426, 24217, 426, 604, 1000, 28, 535, 50276, 23756, 15, 338, 1000, 426, 604, 1000, 28, 535, 50276, 23756, 15, 40165, 1000, 426, 246, 338, 1000, 28, 535, 50276, 23756, 15, 22408, 1000, 426, 4710, 1000, 28, 535, 50276, 23756, 15, 1087, 2388, 83, 426, 19736, 83, 28, 187, 187, 38331, 4065, 9, 2520, 558, 187, 0 ]

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

361

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

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

1,024

[ 0, 13, 285, 326, 326, 3200, 6634, 387, 3963, 11508, 13, 285, 310, 17357, 387, 253, 990, 685, 387, 253, 5068, 13, 285, 326, 597, 313, 783, 3603, 10, 403, 9928, 275, 616, 1211, 5053, 13, 285, 326, 597, 1620, 3553, 1110, 5053, 3707, 407, 3490, 13, 323, 1016, 273, 253, 1740, 3603, 310, 4503, 281, 253, 643, 347, 17730, 2978, 273, 6242, 285, 3626, 7867, 566, 15, 187, 187, 26021, 13, 253, 1740, 3603, 7081, 2710, 3607, 28, 4250, 285, 5412, 13, 9685, 1255, 285, 6079, 1255, 13, 1708, 1255, 285, 3573, 1632, 13, 19779, 1255, 285, 1499, 628, 405, 13, 285, 253, 3753, 273, 253, 5882, 2247, 310, 3587, 10066, 281, 1110, 295, 2478, 28, 984, 275, 10266, 281, 253, 9118, 3200, 273, 253, 1740, 3603, 13, 627, 310, 253, 13765, 3200, 273, 253, 5882, 2247, 13, 285, 275, 10266, 281, 253, 2180, 474, 12340, 273, 326, 3200, 13, 310, 253, 14549, 10533, 275, 253, 3200, 273, 253, 5882, 2247, 13, 285, 275, 10266, 281, 253, 19779, 1255, 285, 43596, 1632, 273, 326, 3200, 13, 310, 253, 41510, 1499, 628, 405, 275, 253, 3200, 273, 253, 5882, 2247, 15, 496, 10266, 281, 326, 21692, 7867, 1371, 273, 253, 1740, 3603, 13, 275, 616, 1211, 6887, 13, 310, 253, 9928, 3626, 3200, 273, 253, 5882, 2247, 275, 697, 1211, 1899, 15, 1244, 347, 253, 1740, 3603, 285, 616, 1375, 273, 7867, 1371, 403, 273, 4503, 1331, 28780, 13, 275, 253, 1072, 1039, 13, 253, 5882, 2247, 285, 697, 3200, 403, 273, 4503, 1331, 28780, 13, 285, 310, 1293, 667, 273, 841, 3607, 273, 253, 1740, 3603, 13, 323, 627, 310, 6747, 4250, 4543, 5412, 13, 9685, 1255, 390, 6079, 1255, 275, 352, 13, 4543, 1708, 1255, 390, 3573, 1632, 13, 4543, 19779, 1255, 4543, 1499, 628, 405, 15, 187, 187, 1909, 253, 4243, 273, 253, 1740, 3603, 403, 1160, 13, 597, 1620, 2489, 40634, 4543, 4391, 533, 313, 609, 10, 347, 597, 497, 432, 253, 5068, 273, 253, 1533, 13, 5882, 13, 8566, 13, 801, 383, 957, 917, 13, 801, 739, 311, 13228, 13, 285, 3021, 597, 588, 320, 1919, 253, 990, 534, 253, 40325, 6960, 323, 731, 15, 13162, 13, 1580, 253, 3753, 273, 253, 1740, 3603, 285, 253, 3753, 273, 253, 5882, 2247, 403, 3587, 10066, 281, 1016, 643, 13, 352, 310, 1411, 1921, 281, 1333, 326, 253, 5882, 2247, 369, 9924, 273, 253, 1740, 3603, 15, 187, 187, 8195, 1921, 1411, 253, 1072, 3762, 27, 6000, 1789, 326, 310, 509, 8055, 432, 10214, 3603, 326, 789, 1411, 1016, 643, 285, 17715, 272, 1016, 643, 13, 253, 2644, 17715, 84, 275, 253, 990, 28, 824, 3797, 28473, 285, 5074, 13, 285, 3253, 2010, 326, 310, 9924, 273, 253, 1740, 3603, 275, 534, 253, 7285, 3607, 273, 253, 1740, 3603, 6909, 1016, 643, 15, 1244, 672, 581, 2867, 1404, 5351, 689, 253, 643, 13, 253, 2181, 326, 310, 9924, 273, 731, 310, 4336, 11069, 15, 13162, 13, 604, 253, 5882, 2247, 497, 9924, 273, 253, 1740, 3603, 13, 21681, 281, 1110, 7285, 18701, 1146, 25834, 27009, 13, 275, 253, 990, 253, 5882, 2247, 651, 320, 18224, 285, 651, 591, 763, 15, 187, 187, 14131, 1580, 642, 861, 273, 253, 28425, 310, 13, 556, 644, 13, 390, 588, 320, 13, 2540, 13, 1339, 352, 320, 7192, 326, 352, 313, 783, 5882, 2247, 10, 310, 2080, 432, 1146, 9924, 273, 253, 1740, 3603, 15, 3308, 778, 754, 665, 6960, 352, 275, 824, 15822, 320, 24011, 407, 4130, 665, 651, 38189, 352, 15, 187, 187, 8846, 5543, 48, 6202, 3016, 48288, 46, 2300, 3489, 5529, 27176, 5851, 1433, 13, 17464, 330, 2025, 947, 34, 15, 187, 187, 3039, 2656, 3562, 253, 5882, 2247, 754, 50081, 247, 2120, 3962, 3200, 326, 1620, 5459, 390, 12075, 28, 1580, 275, 6818, 14, 12496, 3038, 253, 5882, 2247, 29141, 697, 2282, 1293, 1891, 285, 1293, 38426, 13, 285, 1110, 6818, 14, 12496, 3038, 403, 1388, 285, 2360, 15, 187, 187, 13618, 671, 1160, 253, 15269, 273, 253, 5101, 281, 9766, 1388, 285, 2360, 28, 285, 616, 3753, 13, 616, 2978, 13, 285, 2159, 1255, 13, 285, 281, 9766, 253, 31793, 273, 253, 36724, 13, 285, 253, 3064, 273, 2572, 285, 6379, 273, 4250, 285, 5412, 275, 1027, 5053, 13, 275, 1340, 281, 38500, 17268, 432, 1016, 643, 13, 285, 281, 42514, 253, 1340, 273, 253, 1533, 13, 984, 604, 253, 5882, 2247, 285, 253, 5101, 4395, 625, 4541, 685, 597, 513, 13, 253, 1897, 285, 15513, 651, 320, 36439, 13, 253, 5101, 651, 417, 452, 673, 281, 42514, 697, 3470, 13, 285, 36680, 17268, 651, 16410, 281, 1756, 28, 285, 604, 597, 4395, 625, 7808, 685, 597, 513, 13, 2360, 285, 1388, 651, 344, 33596, 7461, 264, 13, 285, 13, 17912, 13, 347, 253, 5101, 651, 320, 1512, 1048, 689, 253, 6149, 13, 352, 651, 44959, 285, 6079, 598, 253, 2553, 273, 253, 6149, 13, 285, 651, 9659, 2717, 281, 1756, 275, 253, 8825, 15, 3308, 1821, 812, 417, 23031, 275, 253, 11053, 629, 273, 253, 1533, 13, 347, 597, 513, 1024, 387, 247, 4181, 273, 25279, 7759, 432, 253, 1298, 1080, 984, 604, 253, 5101, 11791, 1512, 1048, 13, 352, 651, 1056, 326, 1659, 440, 249, 8621, 7116, 3357, 15, 10244, 13, 387, 670, 253, 990, 273, 21116, 14, 17182, 7759, 3439, 273, 253, 5882, 2247, 6146, 4515, 432, 253, 1072, 1386, 13, 253, 2919, 11834, 731, 651, 320, 440, 249, 8621, 7116, 327, 2395, 273, 253, 5412, 273, 253, 1077, 1048, 2360, 15, 380, 2919, 432, 253, 990, 273, 1110, 21116, 14, 17182, 7759, 310, 440, 249, 8621, 7116, 327, 2395, 273, 13622, 5412, 347, 2080, 347, 253, 2919, 326, 310, 762, 253, 5101, 434, 2282, 15, 1198, 253, 5101, 12186, 1100, 4404, 253, 6420, 1930, 273, 253, 1533, 13, 253, 5412, 5459, 594, 1199, 327, 253, 6146, 1930, 13, 326, 5074, 2550, 23031, 275, 352, 285, 253, 7139, 513, 417, 1756, 15, 1244, 594, 1821, 390, 5074, 2550, 23031, 6420, 273, 253, 18979, 1386, 327, 2395, 273, 13622, 4250, 13, 285, 275, 253, 2659, 326, 310, 187, 187, 570, 4885, 326, 1386, 327, 253, 3304, 403, 253, 33533, 265, 2417, 665, 403, 47465, 407, 253, 13622 ]

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

1,024

[ 0, 2861, 3337, 187, 187, 8398, 368, 323, 634, 1329, 1309, 253, 4544, 2, 187, 187, 14569, 13, 1052, 7108, 2779, 588, 3150, 432, 247, 2854, 46539, 15, 5595, 273, 731, 588, 3150, 3815, 15, 187, 187, 510, 2208, 457, 84, 4980, 14, 1201, 2380, 281, 776, 5674, 457, 84, 46539, 22954, 556, 644, 32063, 4085, 314, 18766, 15, 13771, 685, 22128, 327, 3739, 5859, 13, 776, 7038, 452, 644, 12208, 407, 253, 1072, 3731, 26960, 7274, 326, 762, 72, 1817, 264, 253, 773, 7523, 327, 5835, 668, 275, 253, 9178, 84, 1905, 4709, 13, 35809, 285, 23285, 15, 187, 187, 1231, 878, 247, 38144, 5700, 326, 11355, 5237, 285, 26866, 4852, 15, 831, 7866, 342, 27355, 12365, 253, 6424, 9370, 3487, 327, 2854, 4212, 1905, 13383, 323, 1971, 3185, 273, 17178, 7260, 28, 18462, 1569, 10473, 281, 1818, 6406, 7274, 28, 285, 13, 954, 273, 512, 13, 2866, 187, 187, 1147, 434, 673, 323, 27355, 275, 776, 2586, 281, 294, 18959, 253, 5899, 2554, 273, 253, 15303, 285, 1007, 387, 747, 4088, 359, 476, 7832, 342, 5684, 16010, 13, 3114, 7038, 13, 285, 2579, 11967, 275, 776, 4811, 281, 1056, 776, 7888, 23107, 15, 187, 187, 42, 4102, 820, 14, 14399, 2149, 247, 29054, 342, 26858, 17025, 13, 247, 1569, 11652, 387, 34625, 16015, 2499, 13, 326, 18627, 2173, 8130, 359, 943, 1691, 715, 3946, 281, 4979, 253, 6424, 8426, 985, 15, 187, 187, 42, 11435, 253, 851, 8775, 407, 581, 273, 253, 2032, 27559, 273, 6424, 8426, 18035, 1214, 43, 53, 3385, 261, 2385, 3824, 8761, 556, 1199, 789, 281, 513, 281, 1973, 3114, 4517, 13, 533, 671, 1142, 1270, 747, 15670, 457, 84, 275, 3968, 665, 347, 16695, 281, 513, 816, 326, 15, 187, 187, 48182, 7217, 310, 4122, 16761, 2190, 2872, 952, 285, 7888, 273, 3295, 15, 5128, 7729, 441, 4271, 835, 281, 2770, 3114, 14, 1070, 7268, 6031, 281, 3657, 625, 7217, 15, 844, 452, 1199, 789, 6386, 15, 0 ]

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

325

[ 0, 18, 15, 380, 7327, 273, 253, 14723, 187, 510, 3688, 7033, 3839, 281, 253, 9554, 273, 10675, 7315, 10717, 342, 643, 38195, 2600, 15, 3010, 5742, 13, 253, 3688, 7033, 281, 3082, 285, 6576, 323, 24399, 10675, 7315, 3888, 342, 7223, 2130, 689, 253, 7336, 15, 187, 19, 15, 17720, 285, 15073, 3975, 187, 510, 7336, 310, 247, 11762, 4849, 273, 6928, 285, 7394, 1576, 15, 380, 7336, 3797, 247, 27882, 273, 1029, 14, 15507, 941, 5511, 3104, 875, 2201, 7632, 390, 3167, 12823, 13, 11253, 273, 6763, 273, 6264, 13, 2208, 13, 11331, 13, 285, 643, 4382, 2718, 15, 380, 3645, 4363, 7066, 313, 783, 7066, 10, 310, 9924, 273, 247, 8485, 1180, 273, 22506, 9713, 773, 21505, 668, 273, 1491, 2130, 327, 253, 7336, 15, 380, 4451, 12453, 13, 39149, 1929, 347, 21312, 22106, 15108, 13783, 313, 3322, 2513, 582, 1056, 352, 3477, 281, 5100, 4859, 875, 2905, 7223, 13, 285, 875, 7223, 285, 643, 1491, 5300, 327, 253, 7066, 15, 10200, 3510, 273, 49189, 2513, 2486, 40489, 313, 49194, 22106, 18771, 2392, 10, 285, 49189, 19450, 313, 49194, 22106, 35876, 481, 187, 21166, 327, 247, 1677, 3239, 778, 320, 7939, 281, 2905, 1491, 327, 247, 1273, 3239, 407, 5277, 247, 773, 27049, 4492, 1806, 390, 773, 4492, 1806, 31238, 253, 38917, 273, 253, 1273, 3239, 15, 6102, 4859, 403, 5431, 6607, 347, 16318, 2505, 390, 19908, 14237, 326, 778, 320, 4236, 970, 247, 6521, 14, 881, 12219, 313, 66, 773, 19618, 21372, 28100, 2118, 875, 7223, 327, 253, 7336, 407, 17221, 4859, 2556, 281, 253, 2608, 434, 1600, 15, 831, 1332, 273, 4886, 432, 3239, 281, 3239, 327, 253, 7336, 275, 3186, 273, 1491, 310, 7744, 6289, 281, 347, 773, 9960, 41822, 253, 5357, 1425, 187, 510, 7066, 556, 2489, 247, 4633, 7741, 323, 1491, 12600, 281, 2761, 667, 2256, 15, 380, 3116, 273, 436, 18395, 556, 644, 10260, 8655, 407, 253, 2440, 273, 2629, 14923, 44236, 11515, 313, 32302, 4132, 582, 275, 1798, 253, 4373, 1156, 44236, 3448, 313, 15597, 10, 285, 13, 625, 4102, 13, 253, 9052, 35418, 4744, 484, 18847, 313, 17733, 481, 4744, 484, 11515, 4853, 253, 5981, 273, 7066, 7177, 407, 14631, 253, 16144, 285, 14663, 273, 2714, 13, 12691, 7997, 326, 2028, 7066, 27030, 849, 281, 3148, 253, 9410, 273, 247, 3389, 15, 11685, 285, 14784, 671, 34661, 7066, 7223, 285, 643, 1491, 5300, 970, 4373, 23053, 15, 11685, 310, 21654, 253, 954, 4633, 44236, 3448, 908, 281, 2488, 7066, 2600, 15, 380, 1563, 5955, 3103, 16633, 327, 11685, 13, 3738, 253, 12342, 5469, 4647, 9696, 281, 643, 44236, 11515, 15, 187, 8209, 15, 337, 313, 40844, 1445, 10, 310, 247, 2685, 21341, 2233, 35668, 849, 247, 6041, 9882, 390, 7336, 8351, 29512, 247, 5542, 273, 11685, 941, 9199, 281, 3148, 247, 7066, 3239, 7346, 15, 43312, 387, 3213, 11084, 13, 247, 3694, 1789, 1925, 271, 11685, 22109, 13328, 265, 11685, 941, 9199, 15, 380, 1307, 773, 33385, 1789, 668, 310, 908, 1060, 275, 253, 3634, 273, 1789, 14, 21085, 10717, 13, 285, 10770, 281, 247, 4778, 11616, 1097, 33255, 285, 941, 326, 310, 4127, 347, 247, 13358, 10726, 15, 187, 30532, 272, 11685, 941, 9199, 11330, 247, 2962, 273, 11685, 14610, 285, 12474, 11858, 15, 308, 3544, 403, 2127, 326, 22649, 271, 3284, 275, 247, 3389, 13, 824, 347, 247, 13590, 390, 247, 12494, 13, 323, 253, 6378, 273, 33907, 13, 44176, 13, 285, 20057, 1491, 275, 253, 3389, 15, 5706, 8029, 403, 1416, 14, 2877, 8557, 1561, 247, 31480, 3284, 326, 10007, 2176, 3386, 273, 326, 3284, 15, 2053, 3386, 2486, 3295, 13, 1979, 13, 1899, 13, 285, 253, 1979, 285, 3740, 273, 36622, 15, 187, 9301, 13, 247, 3694, 1789, 5431, 6289, 281, 347, 247, 773, 3306, 22074, 668, 7783, 4665, 84, 14610, 285, 12474, 11858, 15, 380, 7914, 1543, 275, 253, 8869, 273, 247, 3389, 941, 2605, 12036, 326, 4428, 512, 273, 253, 33907, 285, 2600, 1491, 2424, 281, 8600, 11685, 3239, 7346, 15, 380, 2600, 1491, 476, 2486, 4859, 281, 643, 1491, 5300, 13, 824, 347, 3492, 13, 3888, 13, 285, 643, 7066, 7223, 281, 320, 8653, 1561, 253, 1461, 1100, 273, 11685, 3239, 7346, 15, 6610, 13, 247, 15896, 13732, 285, 2905, 3694, 4665, 941, 2605, 12036, 281, 8600, 253, 2460, 273, 11685, 3239, 7346, 313, 783, 11685, 3389, 10, 323, 3148, 15, 187, 35031, 20737, 13, 824, 347, 1110, 33536, 35842, 407, 7066, 12101, 32492, 13, 3690, 904, 2085, 7066, 2289, 1293, 247, 5899, 3367, 4382, 15, 7336, 20737, 313, 12563, 7744, 6289, 281, 347, 873, 14, 3956, 12783, 10, 2085, 7066, 2289, 970, 271, 9826, 7315, 313, 12101, 10, 873, 347, 247, 3148, 285, 247, 8905, 1453, 390, 11744, 15487, 323, 2608, 3280, 15, 2053, 7336, 20737, 1581, 20985, 281, 1859, 7066, 2600, 13, 3698, 7315, 13, 390, 10486, 513, 1097, 407, 19703, 10675, 5579, 1561, 247, 3497, 273, 247, 7066, 3239, 15, 5579, 11575, 1561, 247, 7066, 3239, 310, 417, 629, 273, 253, 11685, 3389, 13947, 253, 3239, 13, 533, 1364, 320, 11217, 11794, 970, 9940, 3694, 15, 3900, 253, 1543, 403, 12207, 13, 627, 310, 17837, 247, 878, 323, 247, 19554, 1332, 273, 34047, 11685, 285, 10675, 5579, 2600, 15, 187, 2374, 8120, 13, 352, 310, 11408, 281, 3148, 19908, 3888, 689, 10675, 3492, 1293, 4336, 14551, 981, 253, 3492, 15, 6102, 247, 4438, 273, 4254, 16000, 253, 27025, 281, 4035, 281, 3698, 13, 323, 1650, 13, 247, 7583, 7315, 2086, 13, 1223, 17837, 8667, 253, 4780, 273, 299, 15, 72, 15, 247, 10155, 3668, 2926, 390, 247, 3153, 2165, 4868, 15, 44347, 7336, 20737, 13, 824, 347, 326, 2130, 432, 7066, 12101, 13, 3690, 904, 3959, 436, 13175, 15, 1723, 13, 253, 6673, 5361, 273, 11685, 2600, 285, 10675, 7315, 310, 4390, 247, 2570, 1232, 15, 3840, 13, 6041, 7336, 20737, 513, 417, 1329, 253, 897, 273, 7315, 275, 253, 4114, 273, 271, 11685, 3389, 15, 380, 878, 323, 247, 2969, 2097, 273, 16248, 11685, 285, 10675, 5579, 2600, 3103, 37035, 247, 878, 323, 247, 1332, 326, 8525, 10675, 5579, 4114, 323, 7066, 7223, 15, 0 ]

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

1,007

[ 0, 281, 13240, 15, 1500, 3395, 22382, 275, 253, 32686, 13, 285, 369, 1691, 275, 253, 4675, 434, 278, 2061, 489, 15, 187, 187, 1147, 369, 6888, 275, 253, 278, 2061, 489, 326, 703, 369, 1335, 9338, 15, 1500, 13368, 5869, 327, 617, 1481, 285, 2959, 4918, 275, 253, 4675, 275, 253, 1563, 1897, 15, 1623, 617, 2626, 1388, 275, 253, 4675, 13, 12128, 8308, 308, 507, 86, 1325, 218, 6626, 5087, 247, 4143, 281, 617, 15, 187, 187, 20212, 486, 4645, 253, 2774, 703, 369, 22944, 4830, 253, 33619, 285, 32926, 6216, 369, 10675, 327, 7315, 15, 49239, 6143, 3863, 253, 7963, 2668, 1309, 326, 2250, 347, 973, 15, 380, 15279, 3490, 12322, 3562, 12680, 33728, 318, 1561, 253, 1345, 15, 187, 187, 45403, 91, 5616, 27664, 3314, 2959, 3739, 1971, 275, 247, 3055, 4675, 323, 1264, 1107, 15, 12571, 281, 5415, 3513, 21199, 13, 703, 4395, 1977, 432, 443, 23248, 29787, 281, 9997, 5588, 7885, 275, 253, 6146, 15, 1500, 4895, 1107, 1996, 15, 187, 187, 49274, 209, 187, 7034, 14143, 4824, 562, 327, 1722, 23493, 265, 4860, 326, 5093, 273, 731, 4962, 407, 3513, 29093, 15, 380, 1345, 15303, 23460, 6818, 3513, 6251, 323, 27433, 253, 7787, 273, 7933, 1881, 14, 29337, 15, 1198, 3988, 4606, 13, 253, 1659, 273, 2332, 369, 9495, 432, 39896, 3090, 81, 275, 41460, 281, 247, 1302, 275, 253, 50276, 14103, 1977, 2846, 273, 1535, 357, 5894, 327, 253, 20558, 25489, 5418, 11936, 15, 12605, 2348, 327, 4397, 1903, 13, 8878, 13, 253, 1083, 20578, 1919, 3919, 495, 13, 5307, 15, 187, 187, 510, 1302, 12969, 767, 3513, 6251, 8106, 273, 7701, 13, 533, 4171, 2166, 253, 643, 1283, 3988, 6338, 273, 667, 45452, 15, 2006, 358, 21975, 333, 21720, 13, 2326, 275, 247, 20541, 9602, 342, 271, 12077, 20260, 13, 369, 6636, 281, 9161, 1107, 275, 5754, 323, 7701, 273, 1740, 7732, 15, 3032, 12339, 369, 3777, 840, 281, 2800, 1107, 285, 4314, 2607, 15, 48005, 3899, 443, 46766, 80, 14437, 266, 13, 665, 369, 5950, 1223, 9602, 327, 281, 253, 11843, 13, 369, 8523, 16290, 281, 5693, 1107, 323, 9811, 767, 23332, 15, 3032, 4179, 369, 3777, 281, 1264, 1107, 285, 7457, 2607, 15, 380, 7260, 497, 44866, 15, 380, 6413, 2111, 43868, 253, 2406, 1302, 434, 3061, 327, 253, 9905, 326, 642, 19843, 323, 7701, 13164, 15, 1284, 253, 1083, 369, 294, 31370, 387, 253, 1302, 275, 1535, 357, 5894, 13, 5870, 273, 253, 10349, 29504, 1580, 597, 6566, 253, 1375, 651, 3168, 43351, 2994, 8791, 15, 380, 1302, 13084, 253, 767, 25638, 342, 247, 12339, 273, 1740, 1107, 285, 4567, 2607, 275, 2264, 15, 380, 12553, 3061, 369, 7012, 407, 253, 6413, 2111, 327, 4163, 1903, 13, 6752, 15, 187, 187, 40417, 281, 5284, 2111, 273, 8801, 12484, 209, 187, 17588, 253, 19313, 273, 253, 12553, 1302, 3061, 13, 253, 5870, 273, 253, 3307, 3846, 10349, 20652, 281, 253, 5284, 2111, 273, 8801, 12484, 313, 4625, 85, 9914, 481, 380, 2111, 275, 659, 6230, 32620, 6636, 327, 4163, 3435, 13, 5826, 253, 4687, 273, 14307, 342, 253, 7830, 273, 10963, 275, 2408, 273, 17275, 1229, 13, 933, 281, 1016, 2021, 273, 13265, 10349, 275, 253, 443, 23248, 29787, 285, 273, 2620, 3846, 84, 275, 253, 37995, 78, 4011, 74, 6683, 3286, 13, 2264, 272, 281, 17275, 35191, 13, 933, 15, 380, 444, 5229, 9914, 1119, 247, 8411, 273, 253, 5284, 15757, 327, 8801, 12484, 434, 14108, 374, 13, 534, 24696, 253, 987, 273, 1046, 1436, 281, 616, 1495, 13, 285, 14108, 2145, 15, 187, 187, 24801, 5839, 187, 187, 39363, 327, 30566, 5839, 209, 187, 40, 3090, 5792, 266, 611, 43339, 266, 518, 13, 19041, 273, 6129, 90, 34113, 518, 43159, 432, 20000, 285, 36740, 7021, 313, 8561, 49, 10, 285, 617, 655, 16005, 3558, 11651, 4395, 247, 3200, 327, 3919, 1249, 13, 4695, 13, 327, 253, 2145, 394, 19054, 273, 253, 8878, 443, 23248, 29787, 43384, 13, 323, 253, 5839, 273, 253, 3394, 407, 253, 18416, 8481, 3313, 14184, 15, 187, 187, 21419, 1541, 1441, 251, 4602, 209, 187, 510, 5312, 16336, 1240, 2361, 326, 1309, 253, 2007, 14006, 275, 253, 1083, 273, 8024, 1541, 1441, 251, 7587, 13, 253, 1345, 15303, 6888, 326, 14183, 1342, 443, 8824, 67, 3090, 91, 13, 247, 30054, 1796, 13282, 273, 14199, 275, 253, 5575, 502, 395, 22019, 8024, 1541, 1441, 251, 6003, 13, 369, 253, 2022, 12353, 273, 253, 8878, 8104, 275, 253, 443, 23248, 29787, 15, 187, 187, 1328, 369, 14565, 407, 378, 33472, 290, 36125, 15701, 8824, 76, 13, 247, 31531, 263, 1598, 19439, 8544, 5908, 275, 253, 5958, 273, 247, 2201, 15, 443, 8824, 67, 3090, 91, 369, 685, 10166, 407, 253, 443, 10124, 961, 74, 275, 2714, 27205, 285, 12264, 27205, 15, 754, 2959, 3221, 6489, 7177, 432, 36125, 15701, 8824, 76, 285, 253, 2127, 1416, 346, 44, 3090, 3314, 42664, 388, 317, 5588, 3, 313, 22478, 595, 27, 11573, 21263, 737, 303, 10, 1078, 344, 4395, 281, 41460, 323, 2250, 15, 754, 4447, 627, 247, 10821, 273, 3578, 2758, 15, 2635, 327, 253, 7367, 273, 36125, 15701, 8824, 76, 13, 14183, 1342, 443, 8824, 67, 3090, 91, 9355, 285, 4824, 562, 253, 9222, 275, 253, 443, 23248, 29787, 342, 521, 3137, 1271, 15, 187, 187, 4941, 2490, 187, 1413, 27, 44163, 6584, 2280, 317, 373, 187, 1413, 27, 23067, 317, 373, 275, 14307, 187, 1413, 27, 24195, 48083, 275, 14307, 187, 1413, 27, 40, 5292, 411, 14503, 187, 1413, 27, 27748, 2111, 273, 8801, 12484, 2219, 7668, 14307, 187, 1413, 27, 20294, 1204, 275, 14307, 187, 1413, 27, 51, 74, 1502, 285, 5079, 8984, 275, 14307, 187, 40, 23248, 7150, 43384, 187, 40, 23248, 7150, 43384, 187, 40, 23248, 7150, 43384, 187, 1413, 27, 12697, 273, 41460, 187, 1413, 27, 21419, 1541, 1441, 251, 313, 38653, 318, 10, 187, 1413, 27, 7498, 2241, 552, 6491, 434, 46478, 7021, 16, 34552, 187, 1413, 27, 13435, 84, 275, 41460, 0 ]

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

983

[ 0, 4041, 273, 253, 5962, 14672, 309, 4089, 3063, 310, 326, 952, 6403, 457, 85, 2970, 253, 8981, 597, 17337, 15, 12369, 597, 403, 247, 10459, 5702, 2819, 281, 2118, 598, 253, 17210, 275, 616, 5249, 390, 247, 2136, 7302, 2819, 281, 2659, 625, 42733, 8548, 285, 12712, 13, 597, 457, 250, 15586, 281, 12129, 3746, 275, 271, 10501, 285, 27834, 1039, 15, 187, 187, 24881, 13, 309, 457, 306, 4070, 264, 275, 327, 752, 352, 3936, 281, 1614, 752, 309, 1067, 773, 510, 1810, 263, 7695, 9405, 26048, 28238, 14313, 668, 275, 634, 5249, 390, 2136, 715, 5412, 13, 1892, 7942, 2, 7243, 368, 457, 306, 9425, 3606, 326, 1232, 13, 368, 457, 620, 6427, 1805, 8548, 13, 6351, 625, 8981, 275, 253, 3906, 13, 1928, 1039, 625, 13224, 13, 873, 4834, 7419, 432, 253, 33361, 13, 3523, 29124, 670, 253, 7324, 285, 6233, 625, 2583, 15, 187, 187, 1147, 457, 84, 247, 2969, 1566, 15, 19296, 896, 281, 634, 1029, 2143, 8697, 390, 9317, 966, 281, 253, 12616, 773, 55, 2477, 6129, 12068, 6598, 380, 1810, 263, 7695, 9405, 26048, 28238, 310, 387, 253, 15171, 273, 495, 12342, 27, 187, 187, 7093, 15040, 285, 38969, 187, 1147, 457, 84, 4619, 368, 871, 752, 368, 457, 250, 1663, 1175, 387, 285, 352, 457, 84, 2779, 326, 368, 1053, 457, 85, 15, 1310, 368, 457, 250, 751, 954, 952, 13, 368, 762, 2877, 752, 368, 871, 15, 2091, 1633, 1260, 265, 10748, 281, 368, 13, 352, 457, 84, 3477, 281, 5467, 326, 4130, 310, 1175, 387, 352, 1512, 15, 13529, 812, 320, 10046, 432, 253, 5083, 15, 187, 187, 12864, 247, 7408, 1066, 3541, 18209, 285, 1642, 4834, 752, 368, 7636, 281, 513, 347, 247, 1429, 390, 28713, 15, 28285, 253, 9351, 273, 1841, 952, 452, 2546, 634, 7535, 327, 689, 253, 1107, 15, 2091, 368, 457, 250, 2590, 670, 634, 15040, 285, 2770, 634, 2136, 390, 5249, 1475, 253, 2048, 273, 326, 15040, 13, 368, 457, 620, 320, 3576, 285, 2793, 1679, 11182, 15, 7733, 588, 1928, 45822, 285, 2120, 273, 11990, 15, 1310, 368, 6403, 457, 85, 6600, 273, 285, 1053, 457, 85, 8069, 2791, 253, 1318, 273, 634, 6936, 13, 368, 457, 620, 3590, 751, 4130, 2010, 672, 11771, 323, 8548, 390, 7375, 15, 1422, 457, 620, 1646, 751, 247, 31142, 285, 320, 4354, 7932, 407, 3095, 342, 247, 2406, 12246, 15, 187, 187, 3039, 368, 2770, 327, 752, 368, 457, 250, 22500, 670, 13, 368, 457, 620, 671, 2793, 247, 5471, 273, 43568, 285, 11010, 15, 6865, 588, 8778, 407, 984, 368, 457, 250, 2509, 752, 368, 2389, 15, 187, 187, 7093, 6383, 457, 3198, 187, 8836, 588, 2075, 1175, 2583, 281, 3095, 665, 310, 12351, 347, 1146, 3095, 665, 476, 1361, 731, 8415, 616, 954, 21007, 3374, 15, 1422, 452, 281, 871, 752, 11359, 731, 22238, 387, 2360, 285, 849, 634, 2802, 40397, 457, 588, 1339, 731, 1551, 625, 6330, 2920, 15, 1310, 368, 6403, 457, 85, 6600, 273, 616, 3237, 13, 634, 9137, 8169, 281, 731, 588, 3590, 751, 326, 16955, 7233, 9732, 773, 56, 1240, 13, 259, 1240, 13, 259, 1240, 13, 259, 1240, 13, 259, 1240, 13, 259, 1240, 13, 259, 1240, 6598, 1583, 1053, 457, 85, 1557, 849, 4484, 634, 1232, 310, 15, 1583, 760, 1557, 670, 616, 3075, 285, 2970, 8314, 273, 352, 15, 187, 187, 7093, 3959, 13, 973, 14, 12292, 264, 187, 1394, 1364, 452, 247, 2173, 16182, 368, 897, 281, 1361, 8415, 1110, 3237, 15, 2064, 457, 84, 634, 773, 45422, 6598, 14566, 247, 26014, 985, 275, 1659, 4245, 368, 625, 17938, 285, 6887, 368, 347, 271, 6485, 15, 4952, 604, 368, 457, 250, 271, 8183, 13, 368, 3164, 452, 247, 2176, 1039, 368, 564, 670, 16161, 3237, 15, 2091, 368, 476, 6266, 285, 1416, 634, 1232, 13, 352, 457, 84, 1318, 4566, 598, 15, 733, 457, 84, 581, 273, 253, 5018, 309, 1379, 619, 8548, 949, 275, 619, 35625, 773, 9304, 292, 907, 5402, 12951, 248, 668, 285, 773, 4678, 20909, 21591, 38743, 668, 3055, 25021, 1897, 15, 187, 187, 510, 1273, 4445, 273, 436, 310, 253, 2802, 4714, 14, 12292, 264, 457, 629, 15, 1422, 812, 452, 253, 954, 18511, 2900, 533, 604, 352, 26019, 247, 1895, 597, 457, 250, 417, 1907, 1024, 13, 368, 2779, 1912, 457, 85, 755, 253, 7289, 15, 1422, 1364, 3037, 281, 9446, 253, 11280, 6298, 326, 2273, 38878, 247, 11091, 310, 4704, 281, 1379, 2250, 15, 187, 187, 3039, 368, 19148, 841, 1264, 12342, 285, 3359, 747, 4712, 275, 634, 2136, 13, 368, 457, 620, 320, 327, 253, 1039, 281, 13383, 625, 7942, 275, 253, 4310, 2, 187, 187, 2512, 403, 2067, 31341, 47091, 323, 1907, 247, 2136, 326, 14528, 368, 347, 1199, 347, 368, 2389, 1146, 247, 2136, 7302, 15, 187, 187, 1147, 457, 84, 39189, 281, 1448, 2496, 4834, 715, 18738, 1679, 685, 368, 17337, 984, 368, 457, 250, 594, 546, 312, 2149, 342, 253, 4473, 273, 1146, 247, 2136, 7302, 15, 187, 187, 510, 6612, 273, 352, 476, 320, 247, 1199, 1027, 2926, 15, 187, 187, 3039, 359, 3153, 275, 247, 1375, 273, 1448, 2035, 13, 359, 457, 620, 2997, 1679, 685, 359, 17337, 15, 844, 1691, 598, 342, 285, 31259, 3879, 326, 310, 417, 49598, 422, 281, 776, 973, 14, 11952, 15, 187, 187, 2598, 849, 513, 368, 871, 604, 634, 2136, 310, 1146, 2032, 281, 368, 32, 1359, 513, 368, 871, 604, 352, 457, 84, 8133, 368, 1840, 512, 2010, 32, 1359, 513, 368, 871, 604, 352, 651, 1379, 247, 16950, 323, 368, 32, 187, 187, 1628, 1276, 457, 84, 247, 2133, 281, 513, 32, 7521, 368, 1642, 15, 187, 187, 20768, 1752, 763, 6866, 285, 12656, 326, 588, 1581, 368, 281, 1421, 247, 14898, 326, 6381, 2731, 368, 15, 187, 187, 18, 15, 32946, 5809, 569, 187, 187, 20696, 1463, 7219, 13, 368, 812, 990, 598, 2444, 4768, 253, 2862, 807, 15, 2091, 368, 513, 634, 2136, 7219, 313, 5658, 7953, 513, 326, 1053, 457, 85, 368, 32, 582, 7617, 849, 1199, 673, 368, 971, 281, 1379, 745, 285, 840, 2972, 352, 562, 327, 634, 16832, 15, 1422, 1053, 457, 85, 452, 281, 871, 835, 368, 457 ]

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

1,024

[ 0, 56, 3271, 1042, 362, 15, 49246, 3481, 22428, 44138, 31501, 15, 187, 187, 51, 6540, 443, 15, 411, 3271, 1042, 13, 2102, 1741, 1230, 285, 327, 2325, 14674, 273, 30109, 285, 2213, 677, 1346, 281, 990, 253, 3660, 275, 15732, 285, 253, 17538, 14216, 15732, 20000, 2956, 796, 7039, 13, 6043, 13, 187, 87, 15, 187, 13766, 3481, 22428, 44138, 48422, 7400, 13, 18252, 11879, 6291, 13, 15821, 273, 253, 6162, 17907, 19523, 37060, 13, 11918, 6911, 25845, 13, 15755, 272, 12743, 273, 6162, 17907, 37060, 9651, 13, 22389, 5490, 367, 3592, 261, 13, 22389, 10852, 416, 471, 15767, 13, 22389, 36883, 322, 1000, 8657, 13, 22389, 16358, 914, 292, 469, 285, 22389, 6086, 12146, 335, 376, 377, 13, 37209, 273, 253, 6162, 17907, 37060, 9651, 13, 12254, 187, 187, 510, 4743, 273, 253, 1302, 369, 8549, 407, 27, 353, 19038, 32704, 187, 187, 15157, 52, 32704, 13, 4412, 6798, 15, 187, 187, 19056, 13, 665, 402, 265, 15978, 285, 327, 11136, 273, 767, 8889, 534, 403, 10066, 281, 1986, 2077, 3646, 275, 15732, 13, 187, 11, 4174, 18, 3, 187, 2887, 661, 247, 36263, 3883, 326, 344, 320, 11460, 281, 16969, 3569, 10617, 6639, 275, 253, 2022, 7036, 9249, 285, 643, 10056, 1576, 273, 253, 37060, 16790, 5550, 18919, 989, 3, 11249, 10, 11658, 407, 253, 6162, 273, 1457, 2816, 17907, 5550, 11688, 17907, 3, 11249, 10, 387, 35661, 14216, 285, 3387, 394, 5720, 13, 21801, 13, 285, 908, 407, 253, 1345, 28, 285, 326, 253, 7159, 320, 23919, 967, 432, 42187, 824, 4712, 13, 47239, 779, 13, 10568, 779, 281, 4044, 9214, 281, 11377, 275, 824, 4712, 13, 390, 22528, 2977, 253, 1345, 407, 2710, 2097, 432, 18738, 824, 10617, 6639, 15, 187, 11, 4174, 19, 3, 187, 49864, 37420, 310, 1754, 327, 5976, 530, 15, 52, 15, 36, 15, 3015, 11299, 13, 3349, 530, 15, 52, 15, 36, 15, 20485, 14114, 18, 13, 13900, 20, 285, 374, 1252, 285, 253, 3973, 285, 39056, 44518, 942, 281, 253, 1986, 2077, 10350, 15, 380, 4676, 452, 2831, 14, 78, 3149, 323, 6010, 3883, 10376, 281, 7804, 8026, 13, 401, 15, 51, 15, 23429, 15, 49, 15, 187, 187, 25187, 6162, 17907, 310, 247, 1345, 13739, 3562, 275, 33531, 10376, 281, 247, 8566, 875, 1457, 2816, 285, 1457, 8911, 15, 43802, 2191, 434, 914, 5040, 49999, 28856, 273, 427, 15, 58, 15, 3015, 6705, 520, 13, 3015, 721, 20611, 15, 7850, 2136, 310, 5196, 407, 13265, 45504, 13, 2800, 273, 5207, 403, 11162, 407, 253, 2418, 273, 1457, 2816, 285, 2800, 273, 5207, 403, 11162, 407, 253, 2418, 273, 1457, 8911, 15, 20140, 15, 3015, 721, 20680, 15, 380, 6162, 17907, 13, 2190, 643, 1841, 13, 17209, 253, 37060, 534, 41358, 581, 2120, 2846, 2972, 875, 35661, 285, 32533, 329, 1261, 955, 285, 3387, 394, 285, 7609, 296, 30912, 1507, 275, 21801, 15, 380, 37060, 4428, 247, 1180, 273, 3672, 1527, 281, 253, 1345, 13, 1690, 247, 2022, 7036, 9249, 5512, 2456, 4669, 4618, 13, 271, 24311, 285, 247, 30854, 7036, 9249, 13, 247, 2201, 37049, 13032, 285, 2710, 749, 1576, 285, 2940, 1576, 15, 496, 1635, 13, 1561, 253, 37060, 627, 403, 1685, 1386, 13571, 33605, 13, 3668, 1676, 84, 13, 15114, 13, 33503, 8965, 13, 247, 35246, 1771, 13, 247, 2854, 11869, 13, 247, 2534, 13, 247, 43410, 31132, 13, 247, 4310, 13, 9140, 16999, 285, 2710, 643, 16999, 285, 44488, 534, 403, 1527, 281, 253, 2087, 1345, 15, 596, 35314, 273, 952, 897, 253, 37060, 9189, 327, 1016, 1388, 15, 1198, 1650, 13, 253, 3388, 1180, 273, 7732, 8136, 949, 253, 37060, 5312, 275, 19213, 369, 22750, 13, 933, 285, 327, 4565, 2164, 13, 19213, 13, 5512, 28325, 13, 933, 7732, 908, 253, 37060, 15, 6408, 18417, 689, 9934, 13, 933, 13, 933, 7732, 908, 253, 37060, 15, 733, 778, 973, 320, 253, 1685, 10558, 8351, 275, 253, 1533, 15, 187, 187, 510, 6162, 17907, 18922, 247, 3513, 3490, 323, 253, 4096, 273, 11850, 1340, 275, 253, 37060, 285, 37703, 6162, 17907, 4803, 285, 10132, 15, 380, 3490, 8414, 273, 247, 6832, 1180, 273, 6251, 9417, 762, 253, 20446, 273, 253, 15821, 273, 253, 37060, 13, 3257, 18252, 11879, 6291, 15, 380, 15821, 556, 17189, 2758, 273, 253, 6162, 17907, 434, 3513, 3490, 281, 5263, 667, 7732, 665, 3177, 281, 16969, 10617, 6639, 275, 253, 37060, 672, 597, 452, 644, 5868, 9214, 407, 253, 37060, 281, 513, 594, 285, 452, 644, 1677, 271, 5107, 281, 3553, 253, 37060, 15, 187, 187, 3404, 2710, 2069, 1309, 253, 2607, 273, 4437, 13, 4596, 285, 4565, 13, 19213, 13, 39288, 327, 6926, 39190, 13, 3482, 285, 1110, 2330, 342, 779, 452, 5939, 3345, 253, 854, 394, 14216, 13032, 281, 253, 37060, 10617, 6639, 7291, 3006, 776, 7295, 434, 11497, 275, 253, 15732, 2137, 15, 6043, 434, 4712, 13, 534, 452, 14278, 273, 35865, 562, 6239, 281, 7732, 327, 253, 1930, 45547, 3345, 253, 37060, 285, 13949, 15966, 275, 7827, 342, 3095, 665, 14545, 281, 1379, 247, 10617, 1059, 13, 452, 387, 512, 2069, 644, 5196, 275, 247, 19951, 285, 42062, 5133, 13, 3738, 597, 452, 327, 15530, 3977, 2571, 281, 1067, 562, 43680, 13, 3177, 281, 29720, 47325, 417, 281, 2997, 253, 10617, 6639, 13, 285, 327, 1740, 15530, 44848, 452, 644, 1160, 2220, 3482, 390, 581, 273, 521, 26624, 15, 187, 187, 2374, 253, 7237, 273, 4596, 721, 13, 19213, 13, 3482, 285, 2620, 643, 7732, 5966, 253, 37060, 285, 5939, 3569, 10617, 6639, 275, 247, 19951, 285, 42062, 5133, 275, 253, 29329, 285, 6179, 2170, 2822, 18488, 12708, 14, 12730, 327, 253, 5170, 1685, 1268, 323, 5512, 5096, 2909, 15, 9937, 253, 958, 326, 597, 275, 642, 1039, 734, 3850, 342, 253, 4866, 273, 7137, 275, 253, 37060, 13, 597, 497, 6726, 281, 3553, 407, 6162, 17907, 9651, 665, 13699, 616, 5263, 15, 1623, 4596, 2145, 285, 1384, 627, 497, 2074, 37102, 15, 187, 11, 4174, 20, 3, 187, 187, 3463, 4857, 15483, 4596, 1668, 13, 19213, 13, 3482, 13, 327, 521, 1211, 11136, 285, 327, 11136, 273, 253, 8889, 6607, 407, 779, 285, 616, 3858, 285, 14501, 13, 9521, 9214, 273, 253, 15821, 273, 253, 8351, 281, 16969, 3569, 1133 ]

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

1,024

[ 0, 2208, 5575, 533, 4242, 281, 5276, 326, 5418, 14814, 35696, 253, 3437, 15, 50276, 1909, 5469, 1840, 13, 253, 1941, 369, 4209, 281, 1329, 253, 2208, 434, 11307, 15, 187, 187, 36, 15, 4137, 15412, 273, 253, 2102, 882, 420, 187, 187, 1047, 187, 15383, 14814, 35733, 326, 253, 17612, 369, 4688, 595, 22327, 984, 352, 858, 417, 24522, 253, 3603, 346, 14428, 5356, 3, 285, 346, 9993, 2279, 390, 9437, 281, 13194, 449, 50275, 1145, 17612, 1057, 417, 452, 281, 24522, 253, 3603, 275, 10799, 11315, 2426, 15, 50276, 41, 1530, 274, 362, 15, 1986, 2077, 13, 27360, 530, 15, 52, 15, 37955, 13, 34068, 13, 8073, 322, 15, 5229, 15, 38362, 13, 38627, 13, 10909, 418, 15, 3996, 15, 854, 3832, 313, 48184, 481, 50276, 34, 1385, 943, 320, 1239, 275, 697, 25983, 13, 1690, 697, 897, 273, 11315, 2593, 3904, 15, 50276, 11586, 2077, 362, 15, 1780, 442, 12727, 14, 36469, 2487, 13, 40355, 401, 15, 19, 69, 12643, 20, 13, 12643, 25, 13, 31268, 313, 22, 394, 4082, 11507, 5306, 15, 5868, 13, 35597, 530, 15, 52, 15, 898, 938, 13, 10694, 322, 15, 5229, 15, 29117, 13, 2456, 418, 15, 3996, 15, 19, 69, 32526, 313, 19813, 481, 50276, 7542, 253, 17612, 9648, 27226, 512, 253, 3603, 285, 3797, 253, 11315, 2593, 1180, 13, 359, 1089, 326, 352, 369, 417, 22327, 15, 187, 187, 37, 15, 5712, 5155, 327, 3545, 75, 1520, 6004, 5632, 187, 187, 1010, 187, 15383, 14814, 12148, 326, 521, 9611, 1364, 320, 13891, 984, 418, 25374, 13, 247, 2234, 2208, 5517, 13, 3534, 591, 75, 1520, 6206, 15, 50276, 1231, 588, 417, 9659, 247, 9611, 327, 246, 20354, 6206, 13, 533, 5418, 14814, 434, 9611, 369, 417, 1754, 327, 246, 20354, 6206, 15, 50276, 5035, 19926, 274, 6934, 362, 15, 1986, 2077, 13, 35362, 530, 15, 52, 15, 337, 13, 608, 13, 10484, 322, 15, 5229, 15, 337, 13, 495, 13, 337, 418, 15, 3996, 15, 19, 69, 337, 313, 38249, 481, 50276, 1992, 4044, 247, 21080, 327, 253, 9905, 326, 253, 2208, 15494, 327, 591, 75, 1520, 6206, 13, 253, 1563, 1364, 320, 2011, 27, 50276, 9, 18, 10, 253, 30983, 7234, 497, 2686, 3221, 13, 313, 19, 10, 253, 7234, 497, 2144, 13, 285, 313, 20, 10, 253, 14079, 3260, 326, 597, 497, 3221, 15, 50276, 11586, 2077, 362, 15, 775, 34499, 13, 818, 1671, 401, 15, 19, 69, 854, 1967, 13, 854, 3566, 313, 22, 394, 4082, 15, 15624, 481, 50276, 15383, 14814, 556, 417, 1313, 521, 7977, 327, 667, 273, 253, 3603, 15, 187, 187, 38, 15, 308, 3109, 273, 17724, 187, 187, 1036, 187, 15383, 14814, 8219, 326, 253, 2208, 13588, 521, 1955, 1232, 3570, 984, 352, 858, 417, 14510, 418, 25374, 434, 4936, 4984, 6206, 1919, 767, 1897, 1078, 2332, 285, 858, 417, 14510, 12578, 4572, 7211, 1919, 253, 14625, 4854, 15, 50276, 15383, 14814, 434, 4154, 310, 15785, 1417, 15, 50276, 11752, 253, 500, 2083, 661, 3162, 13, 1283, 530, 15, 52, 15, 36, 15, 5466, 15, 4791, 361, 13, 253, 2208, 310, 417, 2424, 281, 14510, 247, 5517, 434, 4936, 4984, 6206, 1919, 253, 5517, 556, 7859, 327, 1480, 8368, 15, 50276, 5035, 1283, 530, 15, 52, 15, 36, 15, 5466, 15, 4791, 361, 9, 66, 481, 50276, 688, 436, 1083, 13, 253, 2332, 1302, 6960, 253, 2208, 281, 1614, 689, 512, 500, 2083, 661, 3162, 2144, 253, 1388, 1078, 247, 5517, 369, 281, 18954, 15, 50276, 510, 2208, 35037, 342, 253, 1302, 1340, 285, 253, 500, 2083, 661, 3162, 407, 18723, 512, 500, 2083, 661, 3162, 2144, 767, 1897, 1078, 2332, 15, 50276, 510, 2208, 369, 417, 2424, 281, 14510, 253, 12578, 4572, 7211, 984, 597, 403, 417, 9413, 494, 15, 50276, 5035, 1986, 2077, 362, 15, 47445, 13, 854, 740, 401, 15, 19, 69, 40873, 13, 35302, 313, 22, 394, 4082, 11507, 5306, 15, 5868, 13, 40783, 530, 15, 52, 15, 898, 2417, 13, 13278, 322, 15, 5229, 15, 16176, 13, 10508, 418, 15, 3996, 15, 19, 69, 38516, 313, 15089, 481, 50276, 20964, 13, 253, 1302, 1160, 271, 275, 6568, 2278, 273, 253, 7211, 285, 1119, 326, 627, 369, 642, 385, 49262, 2473, 1941, 275, 731, 15, 187, 187, 39, 15, 7682, 451, 273, 5635, 888, 7855, 38308, 187, 187, 1166, 187, 15383, 14814, 12148, 326, 253, 13336, 273, 521, 3200, 323, 247, 747, 2332, 1293, 271, 26800, 4854, 369, 247, 1955, 1232, 8411, 15, 50276, 34, 3200, 323, 747, 2332, 778, 320, 12969, 327, 1293, 271, 26800, 4854, 13, 285, 253, 3061, 281, 2186, 247, 4854, 27945, 1561, 253, 3590, 8637, 273, 253, 2332, 1302, 15, 50276, 1779, 34499, 13, 818, 1671, 401, 15, 19, 69, 387, 854, 3655, 15, 50275, 1231, 1089, 642, 14011, 326, 253, 2332, 1302, 19848, 697, 8637, 15, 187, 187, 40, 15, 46338, 187, 187, 1093, 187, 510, 5780, 3374, 6388, 5418, 14814, 434, 6197, 15, 50276, 15383, 14814, 8219, 326, 313, 18, 10, 253, 1302, 14416, 407, 6240, 2620, 2792, 281, 521, 2613, 1268, 8399, 28, 50276, 9, 19, 10, 253, 1302, 943, 452, 3777, 521, 2613, 1268, 407, 1264, 2792, 984, 352, 12845, 6034, 13, 347, 10066, 281, 4588, 13, 2957, 28, 50276, 395, 313, 20, 10, 253, 1302, 14416, 275, 12672, 32551, 15, 535, 187, 746, 187, 18, 15, 50276, 25438, 14, 3659, 2572, 15, 50276, 11752, 253, 46338, 24620, 13, 4310, 9116, 556, 247, 2613, 1268, 273, 2800, 15, 50276, 5035, 530, 15, 52, 15, 52, 15, 40, 15, 5466, 15, 374, 39, 18, 15, 18, 9, 66, 481, 50276, 8997, 1215, 5319, 403, 2879, 281, 253, 2613, 1268, 7293, 327, 253, 2408, 273, 253, 2957, 23122, 407, 253, 5487, 15, 50276, 510, 2332, 1302, 2879, 2620, 2308, 984, 352, 3413, 326, 253, 2957, 369, 625, 685, 370, 1449, 13, 933, 533, 1679, 685, 370, 1967, 13, 933, 15, 50276, 688, 2403, 436, 7441, 13, 253, 2332, 1302, 2908, 253, 6034, 2957, 273, 253, 3437, 4816, 1619, 13, 44729, 10, 285, 6834, 434, 8128, 23122, 407, 253, 4310, 275, 21449, 5418, 14814, 434, 5079, 4176, 4816, 938, 13, 34802, 481, 535, 187, 938, 187, 15383, 14814, 8219, 326, 253, 9600, 513, 417, 37015 ]

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

1,024

[ 0, 46, 4048, 1975, 285, 4179, 4616, 3607, 273, 30831, 285, 28138, 367, 20, 5324, 285, 15192, 4490, 53, 27, 16039, 432, 3762, 15, 187, 1231, 8338, 253, 5886, 875, 253, 21418, 285, 253, 4179, 4616, 3607, 273, 3488, 9, 20, 14, 15741, 1190, 394, 17591, 17866, 10, 313, 49, 20, 5324, 10, 285, 3488, 9, 19, 13, 22, 14, 24000, 9, 20, 14, 18573, 394, 17591, 864, 14, 19, 14, 1190, 10, 394, 1914, 80, 60, 20, 13, 19, 14, 67, 62, 394, 17591, 17866, 10, 313, 27440, 4490, 53, 10, 10236, 20147, 275, 1097, 30831, 285, 28138, 12475, 15, 6915, 5787, 8062, 281, 26065, 10713, 2221, 13101, 285, 253, 24336, 3762, 281, 12106, 253, 4616, 3607, 359, 1119, 326, 30831, 2718, 3148, 247, 3777, 7793, 16239, 1955, 281, 253, 2957, 273, 20641, 1420, 1340, 285, 8095, 14, 4134, 37444, 4283, 281, 247, 5141, 275, 253, 7051, 8789, 875, 767, 13178, 15, 496, 253, 9266, 3408, 13, 15192, 4490, 53, 12646, 247, 4067, 4179, 16239, 685, 367, 20, 5324, 1955, 281, 253, 734, 11174, 3535, 273, 253, 1930, 13178, 22474, 253, 7882, 273, 253, 33502, 14445, 327, 253, 896, 47473, 15, 831, 625, 6474, 8095, 14, 4134, 37444, 11355, 253, 28378, 8984, 342, 1675, 281, 367, 20, 5324, 285, 5459, 253, 7051, 8789, 15, 496, 4499, 13, 275, 253, 30831, 3408, 13, 15192, 4490, 53, 12646, 247, 3777, 4179, 16239, 342, 1675, 281, 367, 20, 5324, 1955, 281, 253, 5928, 273, 1930, 13178, 7660, 281, 253, 289, 1914, 837, 17591, 864, 265, 13, 534, 5459, 616, 15113, 285, 253, 28378, 8984, 15, 496, 1635, 13, 359, 921, 326, 352, 310, 1896, 281, 10173, 253, 40386, 2341, 18369, 272, 253, 1930, 13178, 273, 253, 20147, 285, 3021, 13868, 15180, 673, 15, 15092, 436, 11193, 13, 359, 2797, 16239, 2193, 11038, 253, 5661, 6341, 13, 3021, 24025, 326, 253, 1930, 13178, 403, 9560, 281, 5281, 253, 15448, 273, 253, 33973, 2718, 533, 403, 417, 3206, 275, 253, 4179, 4616, 1232, 15, 0 ]

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

331

[ 0, 320, 34090, 4197, 15, 187, 23135, 13, 352, 310, 271, 1789, 273, 253, 1246, 3688, 281, 4711, 275, 15613, 552, 4787, 299, 1028, 552, 3875, 390, 643, 6895, 17359, 27743, 28735, 534, 513, 417, 452, 247, 10258, 41568, 16558, 387, 253, 427, 14, 40691, 15, 187, 1147, 310, 1529, 1789, 273, 253, 3688, 281, 4711, 275, 15613, 552, 4787, 299, 1028, 552, 3875, 390, 643, 6895, 17359, 27743, 28735, 326, 513, 417, 2430, 275, 7991, 5162, 281, 5386, 247, 10258, 41568, 432, 253, 427, 14, 40691, 15, 187, 16812, 1529, 1789, 273, 253, 3688, 310, 281, 2085, 247, 1332, 323, 3275, 275, 15613, 552, 4787, 273, 299, 1028, 552, 3875, 390, 643, 6895, 17359, 27743, 28735, 326, 452, 271, 427, 14, 14104, 47665, 1293, 253, 878, 323, 275, 7991, 5162, 15, 187, 8195, 1789, 273, 253, 3688, 310, 281, 4711, 275, 15613, 552, 4787, 299, 1028, 552, 3875, 390, 643, 6895, 17359, 27743, 28735, 326, 452, 253, 8898, 3527, 3425, 9093, 253, 1072, 347, 247, 10748, 14, 30714, 804, 2601, 534, 1057, 417, 452, 271, 427, 14, 14104, 10258, 41568, 15, 187, 34, 2007, 1789, 273, 253, 3688, 310, 281, 2085, 247, 1332, 273, 9603, 275, 15613, 552, 4787, 27743, 28735, 1907, 253, 8898, 3527, 3425, 1119, 275, 14242, 299, 1028, 552, 3875, 27743, 28735, 824, 347, 270, 12677, 9, 34, 13, 45, 582, 270, 12677, 9, 34, 13, 55, 10, 285, 268, 12677, 9, 34, 481, 187, 1147, 310, 247, 1335, 2007, 1789, 273, 253, 3688, 281, 2085, 270, 12677, 9, 34, 13, 45, 582, 270, 12677, 9, 34, 13, 55, 10, 390, 268, 12677, 9, 34, 10, 9619, 1959, 273, 4324, 273, 21963, 390, 43320, 6510, 13, 2975, 15, 380, 270, 12677, 27743, 28735, 4197, 407, 3082, 273, 253, 1246, 3688, 2085, 247, 2097, 323, 13741, 15544, 824, 1260, 255, 41916, 249, 4712, 347, 2559, 8463, 3275, 13, 3116, 2281, 285, 16, 263, 3997, 6733, 15, 187, 6872, 285, 643, 5113, 273, 253, 3688, 588, 320, 625, 4751, 5165, 432, 253, 1563, 2087, 285, 7000, 5740, 273, 253, 3688, 15, 0 ]

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

344

[ 0, 1532, 187, 15834, 27, 686, 12412, 14, 15507, 18217, 313, 41, 7611, 10, 10924, 588, 2489, 247, 2234, 4735, 4516, 407, 17497, 13120, 5511, 2718, 15, 380, 3629, 4831, 323, 388, 7611, 10924, 5644, 281, 1534, 4116, 327, 253, 1263, 273, 5553, 7741, 4323, 313, 14253, 46, 582, 534, 13276, 5919, 7741, 19575, 285, 5520, 985, 3045, 15, 21077, 46, 2216, 310, 247, 11132, 1895, 1955, 281, 6895, 11426, 3290, 273, 2579, 313, 50, 37791, 10, 6095, 285, 7870, 5319, 273, 388, 7611, 11744, 10924, 15, 380, 8103, 273, 436, 2929, 310, 281, 2085, 271, 18389, 327, 253, 2234, 3374, 326, 12893, 275, 253, 21077, 46, 2216, 323, 388, 7611, 11744, 10924, 15, 329, 7000, 5740, 273, 388, 7611, 5511, 2718, 310, 806, 3559, 13, 3560, 407, 271, 10199, 327, 388, 7611, 5048, 3210, 285, 5319, 13, 534, 403, 12232, 281, 253, 2831, 14, 12026, 21077, 46, 2216, 15, 2635, 359, 2085, 247, 6239, 6630, 327, 1375, 14, 1171, 14, 783, 14, 435, 21077, 46, 15849, 323, 388, 7611, 11744, 10924, 13, 342, 271, 275, 14, 16719, 5955, 327, 2710, 21077, 46, 7794, 1690, 11341, 1453, 13, 16239, 4323, 13, 1612, 1453, 285, 7741, 17621, 15, 6610, 13, 436, 2929, 36264, 253, 1655, 7881, 285, 1527, 3374, 275, 253, 2170, 273, 21077, 46, 2216, 323, 388, 7611, 11744, 10924, 2464, 187, 7582, 27, 187, 14, 1040, 187, 50274, 52, 24176, 71, 1205, 42291, 13, 35230, 44325, 13, 3452, 49673, 13, 22114, 563, 74, 34336, 543, 61, 187, 50274, 5443, 10030, 18196, 273, 13480, 39215, 9175, 285, 18731, 61, 187, 50274, 4678, 16741, 500, 571, 302, 543, 2499, 13, 18496, 13, 367, 15, 416, 15, 4135, 61, 187, 50274, 17835, 27, 1202, 464, 1156, 92, 89, 6091, 14619, 13, 305, 91, 11917, 13, 1766, 2284, 13, 1182, 13838, 20122, 543, 37299, 33, 35744, 16853, 15, 13808, 15, 14340, 187, 34424, 27, 187, 14, 686, 7676, 2582, 41, 7611, 14, 14102, 3942, 15, 2383, 8, 187, 5564, 27, 686, 34, 17136, 327, 4855, 14, 30475, 23419, 21506, 27, 329, 13951, 22106, 11354, 10400, 4911, 8, 187, 1532, 187, 187, 9264, 4814, 12113, 9264, 1128, 12412, 14, 15507, 18217, 10924, 13, 388, 7611, 13, 5553, 7741, 4323, 13, 21077, 46, 13, 13757, 2216, 15, 187, 187, 14214, 187, 7770, 187, 187, 2214, 253, 1390, 767, 8007, 13, 17497, 13120, 2718, 313, 24265, 10, 452, 13082, 347, 271, 5919, 1039, 273, 11138, 253, 3045, 273, 13120, 2718, 15, 1284, 271, 5667, 3284, 273, 37879, 13, 1029, 14, 15507, 18217, 313, 41, 7611, 10, 556, 644, 3715, 9086, 347, 247, 3809, 13, 11638, 285, 4759, 1345, 13120, 985, 285, 651, 2489, 253, 2852, 9058, 273, 18217, 13120, 11762, 1008, 47, 272, 14, 7330, 1570, 1198, 4227, 13, 247, 1029, 3885, 8087, 2098, 556, 644, 18627, 275, 3968, 285, 253, 2978, 273, 388, 7611, 3104, 275, 4135, 588, 3986, 1283, 13, 933, 10771, 407, 9169, 1008, 31061, 14, 6755, 1570, 2726, 253, 5415, 5140, 273, 388, 7611, 275, 3332, 1107, 13, 253, 2523, 273, 6194, 4254, 5252, 556, 17755, 625, 285, 625, 4116, 15, 380, 6194, 4254, 1453, 985, 7120, 247, 2234, 2554, 275, 6194, 4254, 5252, 285, 310, 12258, 347, 253, 11083, 4055, 273, 253, 388, 7611, 985, 15, 329, 2629, 556, 644, 873, 598, 323, 253, 6194, 4254, 1453, 985, 13, 534, 310, 1929, 347, 5284, 29712, 9175, 4155, 313, 2025, 5166, 10, 1008, 34, 74, 14, 6759, 28, 1214, 37, 13306, 14, 6759, 1570, 496, 1340, 281, 1056, 17464, 5166, 789, 1805, 285, 2794, 247, 5865, 2629, 323, 18217, 10924, 13, 247, 9940, 6109, 5511, 985, 1925, 253, 4156, 985, 323, 6109, 10924, 323, 18217, 313, 40, 6955, 14, 51, 10, 556, 644, 4081, 407, 5625, 6398, 273, 23419, 313, 45717, 10, 1008, 59, 73, 543, 14, 7857, 1570, 187, 187, 40, 6955, 14, 51, 556, 644, 7561, 908, 275, 388, 7611, 10924, 285, 476, 6558, 247, 9630, 5511, 3048, 875, 253, 6194, 285, 253, 3216, 15, 1723, 13, 443, 6955, 14, 51, 556, 690, 2201, 35387, 13, 824, 347, 12497, 5350, 13, 1698, 2990, 19575, 13, 285, 3710, 1329, 323, 941, 3238, 1008, 52, 8311, 5102, 14, 6759, 1570, 329, 31170, 11744, 5511, 985, 323, 388, 7611, 1925, 1048, 14, 3945, 5606, 323, 18217, 313, 45, 5428, 14, 51, 10, 556, 644, 3559, 275, 1008, 35147, 321, 14, 7857, 28, 1214, 40, 8500, 14, 7199, 62, 285, 3413, 275, 253, 818, 394, 3645, 5759, 327, 4855, 14, 30475, 13480, 1008, 8469, 266, 14, 7330, 1570, 13796, 4152, 11744, 10924, 476, 7278, 253, 6194, 4254, 407, 6941, 271, 4254, 4055, 281, 5724, 1524, 14, 2606, 6194, 14, 4919, 941, 1491, 13, 824, 347, 5252, 1491, 285, 3540, 10401, 1491, 1008, 49, 609, 262, 14, 6755, 1570, 496, 1635, 281, 253, 6194, 1453, 941, 6322, 13, 40509, 14, 51, 310, 671, 3264, 281, 2085, 15828, 3238, 824, 347, 7336, 2289, 285, 1029, 14, 15177, 6109, 3492, 32380, 1008, 34, 74, 14, 6759, 28, 1214, 7912, 9111, 14, 7199, 28, 1214, 37, 13306, 14, 6759, 1570, 2726, 253, 5649, 273, 352, 13, 16479, 476, 1555, 616, 9455, 347, 247, 45871, 6880, 273, 616, 2444, 390, 27335, 3126, 15, 187, 187, 1992, 3157, 253, 5350, 323, 11744, 10924, 327, 253, 6194, 13, 253, 2852, 388, 7611, 5511, 6928, 403, 3264, 281, 320, 22766, 342, 247, 7802, 273, 1027, 6928, 285, 5553, 2289, 10296, 326, 476, 320, 10486, 19197, 407, 8307, 273, 4212, 327, 253, 6194, 1008, 39, 536, 360, 14, 7199, 28, 1214, 36378, 14, 7199, 1570, 1198, 4227, 13, 253, 22766, 2990, 10336, 476, 320, 2783, 347, 247, 5019, 273, 15109, 2990, 13, 7842, 2990, 285, 11744, 941, 2990, 1008, 49, 609, 262, 14, 6755, 1092, 835, 253, 5750, 273, 1016, 2289, 2990, 476, 320, 2668, 715, 8180, 15, 831, 27934, 14314, 2112, 342, 253, 7269, 5511, 10296, 824, 347, 2709, 14, 5423, 2709, 14, 9252, 313, 46, 44293, 582, 19627, 4294, 14, 41952, 25993, 272, 313, 10327, 9042, 10, 285, 5553, 689, 9538, 313, 22052, 39, 582, 588, 2085, 1029, 19737, 5350, 285, 1029, 9879, 6733, 15, 12257, 13, 253, 4831, 323, 388, 7611, 11744, 10924, 310, 9592, 5675, 13, 323, 1650, 13, 253, 5998, 11744, 5511 ]

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

1,024

[ 0, 11540, 1877, 273, 10545, 5771, 275, 10741, 21885, 407, 9128, 14, 7527, 10603, 273, 9464, 1265, 4375, 15, 187, 510, 3745, 281, 3711, 9464, 1265, 4375, 310, 4619, 323, 2175, 273, 3320, 7248, 285, 323, 8137, 273, 4460, 31719, 15, 44347, 5771, 14, 14571, 310, 2223, 12497, 323, 8137, 273, 9464, 1265, 4375, 1955, 281, 1698, 7031, 285, 16, 263, 5771, 5162, 3394, 15, 844, 452, 3715, 247, 4122, 7996, 13, 9128, 14, 7527, 1332, 323, 5481, 273, 9464, 1265, 4375, 275, 9574, 15, 831, 1332, 4648, 3676, 12184, 273, 17060, 13747, 281, 4271, 9464, 1265, 4375, 342, 23186, 13005, 387, 18379, 6064, 15, 3856, 13, 359, 6266, 253, 2898, 273, 436, 1332, 323, 9464, 1265, 2670, 8137, 275, 47129, 14347, 15, 0 ]

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

124

[ 0, 29758, 318, 273, 247, 23390, 853, 6532, 2380, 285, 697, 2954, 281, 4038, 8670, 483, 285, 5024, 14, 6790, 1025, 4438, 14523, 15, 187, 37, 2741, 8670, 483, 285, 5024, 14, 6790, 1025, 4438, 313, 3887, 46, 10, 14523, 407, 3732, 295, 30, 19, 5212, 4910, 275, 1698, 14, 14641, 1297, 1319, 399, 8296, 14, 37, 12733, 284, 403, 2011, 281, 320, 9578, 342, 253, 9777, 273, 253, 6532, 2380, 8877, 327, 253, 1029, 14, 3423, 1930, 313, 41, 7864, 10, 273, 253, 5212, 7844, 533, 417, 253, 1698, 14, 3423, 1930, 313, 45, 7864, 10, 4260, 13568, 15, 2053, 5799, 6128, 403, 247, 1480, 6814, 273, 247, 23390, 26306, 5212, 6532, 2380, 13, 342, 1016, 2605, 36498, 9049, 407, 247, 1027, 295, 30, 19, 3732, 6637, 285, 36498, 5189, 327, 253, 418, 7864, 390, 388, 7864, 15, 17315, 267, 285, 11623, 422, 10973, 80, 14, 8724, 19681, 313, 46, 10536, 10, 10426, 1089, 326, 253, 418, 7864, 6814, 310, 8558, 7996, 281, 253, 16820, 273, 6474, 465, 750, 10006, 13, 1223, 253, 388, 7864, 6814, 310, 8558, 7996, 281, 28808, 18476, 313, 20094, 4751, 41435, 390, 10571, 23532, 456, 481, 380, 28808, 18476, 403, 3746, 7052, 7321, 407, 465, 750, 16820, 13, 342, 253, 8654, 3732, 1673, 11288, 323, 8670, 483, 285, 11642, 46, 14523, 3012, 26704, 432, 12902, 1673, 12420, 15, 0 ]

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

225

[ 0, 17, 558, 187, 94, 187, 187, 48924, 10428, 187, 87, 17922, 59, 4658, 6586, 5065, 32232, 1450, 95, 87, 17922, 59, 4658, 6586, 5065, 32232, 1082, 187, 92, 187, 50276, 16435, 436, 1168, 32352, 254, 28, 187, 94, 187, 187, 48924, 10428, 187, 4353, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 4531, 43228, 28274, 10715, 9, 565, 4438, 10, 187, 92, 187, 50276, 2520, 1168, 43228, 28274, 10715, 426, 4438, 28, 187, 50276, 2520, 1168, 32352, 254, 1168, 4531, 43228, 28274, 10715, 9, 9561, 558, 187, 50276, 2520, 1168, 37765, 1874, 187, 94, 187, 187, 48924, 10428, 187, 565, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 3633, 6573, 16929, 1082, 187, 92, 187, 50276, 2309, 436, 1168, 32352, 254, 1168, 3633, 17031, 2618, 1874, 187, 94, 187, 187, 48924, 10428, 187, 4353, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 4531, 6573, 16929, 9, 565, 29180, 2618, 10, 187, 92, 187, 50276, 338, 313, 6113, 2618, 654, 470, 2785, 29180, 2618, 2239, 608, 10, 187, 50276, 92, 187, 50274, 87, 17922, 24979, 13815, 287, 9, 14193, 346, 19504, 9472, 16929, 346, 5291, 29180, 2618, 5291, 40923, 187, 50258, 14193, 346, 510, 3588, 2491, 310, 544, 17, 608, 62, 23715, 187, 50274, 2309, 28, 187, 50276, 94, 187, 50276, 2520, 1168, 32352, 254, 1168, 4531, 17031, 2618, 9, 6113, 2618, 558, 187, 50276, 2520, 1168, 37765, 1874, 187, 94, 187, 187, 48924, 10428, 187, 565, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 3633, 998, 7417, 29858, 1082, 187, 92, 187, 50276, 2309, 436, 1168, 32352, 254, 1168, 3633, 998, 7417, 29858, 1874, 187, 94, 187, 187, 48924, 10428, 187, 4353, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 4531, 998, 7417, 29858, 9, 565, 3708, 10, 187, 92, 187, 50276, 2520, 1168, 32352, 254, 1168, 4531, 998, 7417, 29858, 9, 8581, 558, 187, 50276, 2520, 1168, 37765, 1874, 187, 94, 187, 187, 48924, 10428, 187, 565, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 5065, 560, 1082, 187, 92, 187, 50276, 338, 45496, 2520, 1168, 8982, 3857, 436, 1168, 11021, 1228, 187, 50276, 92, 187, 50274, 87, 17922, 24979, 13815, 287, 1587, 41909, 19477, 6325, 3280, 390, 3453, 5189, 23715, 187, 50274, 2309, 36989, 44, 64, 12641, 28, 187, 50276, 94, 535, 50276, 605, 4410, 6977, 3295, 2317, 285, 11705, 9765, 604, 9521, 15, 187, 50276, 10790, 1018, 11, 275, 6586, 28, 187, 50276, 565, 1959, 688, 6586, 28, 187, 50276, 87, 17922, 2618, 2548, 275, 6586, 5496, 28, 187, 50276, 565, 275, 6586, 2115, 793, 28, 187, 50276, 2520, 1168, 32352, 254, 1168, 7420, 12919, 9, 2520, 1168, 8982, 13, 275, 6586, 13, 275, 6586, 2115, 793, 13, 275, 6586, 5496, 13, 1959, 688, 6586, 558, 535, 50276, 605, 3631, 560, 187, 50276, 86, 12486, 71, 562, 6586, 5496, 426, 4228, 64, 4008, 29, 86, 12486, 71, 8743, 18, 15, 2874, 475, 275, 6586, 5496, 559, 1722, 558, 187, 50276, 605, 1182, 4658, 4419, 2233, 15, 18, 6, 559, 1668, 13, 337, 12243, 323, 11705, 9765, 187, 50276, 10790, 1018, 11, 562, 6586, 426, 4228, 64, 4008, 29, 10790, 1018, 46802, 44754, 9, 483, 6586, 5496, 4027, 187, 50276, 483, 6586, 60, 17, 62, 426, 275, 6586, 2115, 793, 28, 187, 50276, 42693, 19, 4464, 19117, 71, 11, 2769, 483, 6586, 559, 337, 582, 708, 483, 6586, 5496, 13, 313, 3474, 24128, 71, 5627, 249, 6586, 13, 275, 6586, 5496, 13, 187, 50274, 2520, 1168, 5065, 1256, 13019, 558, 535, 50276, 605, 30454, 21012, 941, 275, 247, 362, 17922, 1789, 15, 187, 50276, 2520, 1168, 11021, 1168, 4531, 6542, 9, 483, 6586, 13, 562, 6586, 5496, 559, 337, 13, 470, 558, 187, 50276, 2520, 1168, 11021, 1168, 4531, 8447, 4527, 40333, 9, 18, 558, 187, 50276, 2520, 1168, 11021, 1168, 4531, 8447, 4527, 37675, 1868, 9, 483, 6586, 5496, 559, 337, 558, 535, 50276, 605, 24373, 598, 846, 638, 14, 856, 550, 265, 375, 263, 15, 187, 50276, 338, 313, 4924, 688, 6586, 10, 187, 50276, 92, 187, 50274, 4924, 9, 249, 6586, 558, 187, 50276, 94, 535, 50276, 2309, 36989, 44, 64, 10249, 28, 187, 94, 187, 187, 48924, 10428, 187, 565, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 3848, 42693, 1082, 187, 92, 187, 50276, 338, 45496, 2520, 1168, 8982, 3857, 436, 1168, 11021, 1228, 187, 50276, 92, 187, 50274, 87, 17922, 24979, 13815, 287, 1587, 41909, 30572, 560, 6325, 3280, 390, 3453, 5189, 23715, 187, 50274, 2309, 36989, 44, 64, 12641, 28, 187, 50276, 94, 535, 50276, 605, 1979, 3280, 15, 187, 50276, 10790, 1018, 11, 509, 3351, 426, 436, 1168, 8982, 1168, 3633, 11732, 9, 18, 558, 187, 50276, 3474, 362, 17922, 2618, 2548, 509, 3351, 5496, 426, 436, 1168, 8982, 1168, 3633, 8447, 4527, 37675, 1868, 1082, 428, 337, 28, 535, 50276, 605, 30572, 560, 15, 187, 50276, 86, 12486, 71, 30572, 3351, 5496, 426, 187, 50274, 4659, 64, 4008, 29, 86, 12486, 71, 8743, 2520, 1168, 11021, 1168, 3633, 8447, 4527, 40333, 1082, 475, 436, 1168, 11021, 1168, 3633, 8447, 4527, 37675, 1868, 6020, 187, 50276, 10790, 1018, 11, 30572, 3351, 426, 436, 1168, 11021, 1168, 3633, 11732, 9, 17, 558, 187, 50276, 328, 42693, 4464, 19117, 71, 5627, 615, 3118, 3351, 13, 708, 615, 3118, 3351, 5496, 13, 313, 3474, 24128, 71, 5627, 3118, 3351, 13, 509, 3351, 5496, 558, 535, 50276, 605, 42137, 638, 14, 856, 550, 859, 272, 15, 187, 50276, 3474, 540, 30572, 3351, 2115, 793, 426, 313, 2520, 1168, 3633, 998, 7417, 29858, 1082, 3736, 495, 1163, 577, 558, 187, 50276, 10790, 1018, 1030, 11, 30572, 3351, 7689, 426, 30572, 3351, 559, 30572, 3351, 5496, 28, 187, 50276, 2520, 1168, 32352, 254, 1168, 8983, 12919, 9, 615, 3118, 3351, 13, 30572, 3351, 7689, 13, 30572, 3351, 2115, 793, 13, 436, 1168, 11021, 558, 535, 50276, 2309, 36989, 44, 64, 10249, 28, 187, 94, 187, 187, 48924, 10428, 187, 4353, 362, 17922, 59, 4658, 6586, 5065, 32232, 1450, 17964, 11909, 9, 87, 17922, 22495, 12919, 8093, 11, 5542, 10, 187, 92, 187, 50276, 87, 17922, 6586, 5065, 32232, 1450, 17964, 11909, 9, 4963, 558, 187, 50276, 11, 4963, 5291, 436, 1168, 5065, 1256, 13019, 5291, 436, 1168, 3633, 6573 ]

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

1,024

[ 0, 34, 10084, 17647, 281, 2601, 23205, 15, 187, 510, 36966, 13178, 326, 1056, 598, 4324, 452, 6763, 273, 10917, 285, 7613, 9790, 273, 1896, 734, 14, 16807, 6355, 15, 733, 1537, 320, 6326, 326, 253, 4795, 10454, 651, 1056, 10554, 273, 2601, 2605, 285, 2601, 14, 8089, 272, 6297, 4829, 7479, 15, 1292, 253, 7936, 12057, 6944, 23205, 778, 320, 1199, 19554, 685, 436, 10454, 651, 1421, 441, 281, 1902, 23205, 4142, 285, 6297, 3176, 281, 320, 8127, 3413, 407, 253, 18080, 273, 253, 7925, 313, 8089, 264, 10, 1375, 13, 285, 747, 3082, 452, 2011, 1270, 9023, 275, 21565, 2601, 14, 8089, 272, 6297, 285, 253, 1264, 14, 6967, 5289, 273, 4324, 15, 0 ]

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

116

[ 0, 37, 2373, 7322, 9066, 273, 45613, 501, 263, 5620, 3017, 7011, 432, 253, 14818, 2996, 8248, 273, 4058, 280, 1514, 2827, 249, 584, 360, 27, 2264, 5132, 6628, 273, 617, 280, 257, 2487, 329, 13, 378, 13, 285, 309, 13, 617, 280, 257, 3017, 378, 14, 37, 13, 285, 2827, 249, 9661, 968, 329, 285, 378, 15, 187, 12481, 5132, 6628, 273, 608, 17035, 285, 818, 17035, 39998, 1025, 21974, 38593, 501, 263, 32990, 684, 7011, 432, 253, 14818, 2996, 8248, 273, 4058, 280, 1514, 2827, 249, 584, 360, 285, 253, 43923, 11048, 273, 247, 2951, 250, 360, 3417, 497, 6786, 15, 3824, 9066, 3386, 3538, 47159, 273, 247, 43364, 5164, 1025, 608, 17035, 39998, 1025, 21974, 38593, 268, 18563, 504, 347, 247, 1846, 10444, 13, 534, 369, 2797, 407, 659, 4002, 8789, 875, 253, 268, 18563, 504, 5161, 285, 253, 1930, 5931, 13, 715, 247, 2962, 273, 3626, 3580, 407, 34249, 5164, 1387, 49373, 15, 380, 9560, 330, 22, 17035, 26649, 13175, 369, 8038, 387, 253, 3302, 3924, 407, 9348, 16499, 407, 271, 5898, 14, 951, 4692, 5105, 9356, 4040, 25704, 15, 4325, 247, 1846, 13506, 10444, 13, 4314, 2264, 5132, 6628, 1690, 617, 280, 257, 2487, 329, 13, 378, 13, 285, 309, 13, 617, 280, 257, 3017, 378, 14, 37, 13, 285, 2827, 249, 9661, 968, 329, 285, 378, 497, 6786, 313, 15521, 257, 311, 378, 285, 2827, 249, 9661, 249, 378, 497, 17791, 347, 7393, 358, 684, 481, 380, 2605, 273, 617, 280, 257, 531, 378, 4232, 275, 253, 12940, 2929, 369, 29472, 26374, 17265, 347, 253, 6315, 1190, 810, 900, 261, 8056, 387, 253, 16184, 312, 37772, 15, 0 ]

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

274

[ 0, 14, 746, 5224, 326, 604, 253, 24762, 13844, 4500, 310, 7616, 13, 346, 964, 964, 964, 840, 253, 11578, 14, 5251, 6307, 15345, 1080, 13718, 19, 12013, 3081, 1491, 281, 253, 11578, 15557, 23408, 14114, 25, 449, 15, 313, 36, 3027, 310, 271, 913, 1406, 1105, 323, 3631, 6731, 5383, 8613, 12675, 318, 2698, 29085, 8988, 13, 3104, 8978, 14, 3571, 5224, 326, 253, 11578, 14, 13019, 23408, 14114, 25, 310, 19890, 281, 253, 17963, 10444, 6779, 21990, 13, 533, 253, 1698, 1268, 23408, 14114, 25, 310, 417, 6805, 8572, 9238, 313, 74, 15, 70, 904, 310, 2303, 7976, 481, 29085, 8988, 13, 3104, 9654, 14, 2082, 1375, 5742, 326, 253, 11578, 14, 13019, 23408, 14114, 25, 310, 7976, 2220, 253, 1798, 10336, 273, 253, 2303, 4382, 5147, 15, 187, 14131, 13, 5293, 273, 253, 10414, 326, 17611, 897, 273, 9812, 2127, 275, 4602, 342, 509, 30526, 3176, 281, 3587, 2953, 253, 12748, 3559, 407, 253, 686, 30651, 9469, 285, 253, 388, 14669, 21410, 13, 5469, 1840, 15, 0 ]

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

170

[ 0, 15, 27501, 2203, 14, 1968, 568, 1470, 18, 10148, 20794, 662, 64, 737, 1420, 1657, 15, 793, 910, 3429, 568, 22, 15, 22, 3591, 986, 187, 187, 3138, 510, 2806, 285, 3168, 10659, 275, 253, 1755, 5370, 2722, 253, 1393, 66, 1196, 273, 38876, 285, 697, 14445, 313, 11872, 36809, 339, 2201, 7844, 426, 7127, 15440, 387, 253, 23657, 273, 253, 3921, 57, 8643, 14, 44557, 4622, 7313, 275, 3821, 15, 6752, 313, 783, 1859, 275, 5826, 369, 1077, 2074, 481, 496, 253, 1264, 10688, 12471, 403, 3921, 57, 8643, 14, 44557, 4622, 16602, 1864, 14, 16077, 3888, 273, 38876, 275, 253, 470, 15, 20, 1108, 470, 15, 25, 33052, 3961, 323, 3821, 15, 6752, 313, 3956, 582, 22551, 15, 9204, 313, 16389, 10, 285, 3821, 15, 5826, 313, 10492, 481, 6061, 446, 7655, 275, 3168, 403, 3436, 668, 9941, 14240, 1399, 433, 327, 253, 8859, 13, 38352, 2996, 253, 2170, 908, 323, 9879, 11998, 15, 380, 1979, 273, 253, 10659, 285, 273, 253, 3888, 310, 5571, 668, 1269, 5571, 7521, 285, 253, 16602, 1864, 14, 16077, 2460, 15115, 403, 273, 374, 15, 26, 668, 1930, 313, 19846, 310, 387, 253, 1755, 285, 5791, 281, 253, 1669, 481, 733, 310, 2590, 326, 253, 8859, 369, 1594, 14, 1402, 43719, 275, 6752, 285, 5075, 383, 13, 275, 958, 36568, 264, 13, 275, 3821, 15, 5826, 15, 27501, 2203, 14, 1968, 568, 1470, 18, 10148, 22354, 662, 64, 10600, 64, 17, 64, 19, 64, 27663, 15, 793, 910, 3429, 568, 22, 15, 22, 3591, 986, 187, 187, 3138, 510, 2806, 285, 3168, 10659, 275, 253, 1755, 5370, 2722, 253, 1393, 66, 1196, 273, 38876, 285, 697, 14445, 313, 11872, 36809, 339, 2201, 7844, 426, 7127, 15440, 387, 253, 23657, 273, 253, 3921, 57, 8643, 14, 44557, 4622, 7313, 275, 3821, 15, 6752, 313, 783, 1859, 275, 5826, 369, 1077, 2074, 481, 496, 253, 1264, 10688, 12471, 403, 3921, 57, 8643, 14, 44557, 4622, 16602, 1864, 14, 16077, 3888, 273, 38876, 275, 253, 470, 15, 20, 1108, 470, 15, 25, 33052, 3961, 323, 3821, 15, 6752, 313, 3956, 582, 22551, 15, 9204, 313, 16389, 10, 285, 3821, 15, 5826, 313, 10492, 481, 6061, 446, 7655, 275, 3168, 403, 3436, 668, 9941, 14240, 1399, 433, 327, 253, 8859, 13, 38352, 2996, 253, 2170, 908, 323, 9879, 11998, 15, 380, 1979, 273, 253, 10659, 285, 273, 253, 3888, 310, 5571, 668, 1269, 5571, 7521, 285, 253, 16602, 1864, 14, 16077, 2460, 15115, 403, 273, 374, 15, 26, 668, 1930, 313, 19846, 310, 387, 253, 1755, 285, 5791, 281, 253, 1669, 481, 733, 310, 2590, 326, 253, 8859, 369, 1594, 14, 1402, 43719, 275, 6752, 285, 5075, 383, 13, 275, 958, 36568, 264, 13, 275, 3821, 15, 5826, 15, 27501, 2203, 14, 1968, 568, 1470, 18, 10148, 22354, 662, 64, 10600, 64, 18, 64, 19, 64, 27663, 15, 793, 910, 3429, 568, 22, 15, 22, 3591, 986, 187, 187, 3138, 510, 2806, 285, 3168, 10659, 275, 253, 1755, 5370, 2722, 253, 1393, 66, 1196, 273, 38876, 285, 697, 14445, 313, 11872, 36809, 339, 2201, 7844, 426, 7127, 15440, 387, 253, 23657, 273, 253, 3921, 57, 8643, 14, 44557, 4622, 7313, 275, 3821, 15, 6752, 313, 783, 1859, 275, 5826, 369, 1077, 2074, 481, 496, 253, 1264, 10688, 12471, 403, 3921, 57, 8643, 14, 44557, 4622, 16602, 1864, 14, 16077, 3888, 273, 38876, 275, 253, 470, 15, 20, 1108, 470, 15, 25, 33052, 3961, 323, 3821, 15, 6752, 313, 3956, 582, 22551, 15, 9204, 313, 16389, 10, 285, 3821, 15, 5826, 313, 10492, 481, 6061, 446, 7655, 275, 3168, 403, 3436, 668, 9941, 14240, 1399, 433, 327, 253, 8859, 13, 38352, 2996, 253, 2170, 908, 323, 9879, 11998, 15, 380, 1979, 273, 253, 10659, 285, 273, 253, 3888, 310, 5571, 668, 1269, 5571, 7521, 285, 253, 16602, 1864, 14, 16077, 2460, 15115, 403, 273, 374, 15, 26, 668, 1930, 313, 19846, 310, 387, 253, 1755, 285, 5791, 281, 253, 1669, 481, 733, 310, 2590, 326, 253, 8859, 369, 1594, 14, 1402, 43719, 275, 6752, 285, 5075, 383, 13, 275, 958, 36568, 264, 13, 275, 3821, 15, 5826, 15, 27501, 2203, 14, 1968, 568, 1470, 18, 10148, 22354, 662, 64, 10600, 64, 20, 64, 21, 64, 27663, 15, 793, 910, 3429, 568, 22, 15, 22, 3591, 986, 187, 187, 510, 767, 3921, 57, 8643, 14, 44557, 4622, 5826, 7313, 13, 347, 973, 347, 253, 4222, 2401, 581, 432, 6752, 13, 497, 11742, 285, 15626, 275, 247, 6447, 8142, 762, 33918, 313, 34191, 10330, 9107, 10, 362, 15, 818, 15, 18, 28, 253, 6752, 8310, 313, 47, 405, 1162, 355, 15, 1008, 47, 405, 64, 89, 3291, 574, 1620, 644, 11742, 275, 436, 1024, 2629, 1039, 13, 984, 273, 253, 3480, 13, 387, 253, 673, 13, 273, 9940, 3694, 281, 294, 14, 15905, 253, 3921, 57, 8643, 14, 44557, 4622, 3394, 275, 253, 1551, 3665, 273, 247, 4886, 2303, 15, 2732, 436, 369, 2218, 323, 253, 1264, 38876, 15302, 13, 3888, 387, 253, 4328, 273, 253, 8859, 497, 8818, 342, 253, 941, 432, 253, 16602, 1864, 14693, 15, 2667, 15, 337, 2722, 253, 16602, 1864, 14, 16077, 3888, 273, 38876, 275, 253, 2341, 2491, 470, 15, 20, 1108, 470, 15, 25, 33052, 323, 253, 3921, 57, 8643, 14, 44557, 4622, 7313, 337, 313, 3956, 273, 253, 10688, 12471, 582, 374, 313, 16389, 10, 285, 495, 313, 10492, 28, 253, 8859, 310, 36568, 264, 327, 436, 8120, 481, 6061, 7334, 281, 1016, 2460, 13, 387, 253, 25662, 4328, 273, 253, 8859, 457, 84, 9145, 13, 310, 247, 3168, 9096, 273, 3436, 668, 9941, 15, 2058, 253, 1755, 273, 2667, 15, 337, 310, 247, 10659, 4645, 253, 1393, 66, 1196, 273, 38876, 285, 697, 14445, 275, 3821, 15, 6752, 313, 783, 1859, 13, 342, 253, 3684, 45724, 440, 706, 2855, 264, 13, 369, 1077, 2074, 275, 22551, 15, 285, 3821, 15, 5826, 481, 187, 187, 4509, 5304, 5301, 273, 253, 1264, 12471, 275, 2667, 15, 337, 352, 310, 2590, 326, 253, 8859, 369, 1594, 14, 1402, 43719, 275, 6752, 13, 3317, 961, 275, 22551, 15, 5826, 285, 5075, 383, 13, 275, 958, 36568, 264, 13, 275, 3821, 15, 5826, 313, 2887, 4706, 15, 495 ]

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

1,024

[ 0, 25046, 4126, 17251, 187, 187, 4943, 1680, 1737, 844, 308, 744, 2030, 13145, 84, 285, 21790, 27, 21305, 6625, 406, 10037, 2, 187, 187, 7093, 11684, 281, 253, 1755, 4481, 4413, 281, 3523, 4848, 406, 10037, 310, 6153, 247, 1524, 23357, 2190, 1755, 21790, 2, 187, 187, 1231, 816, 1694, 745, 253, 4481, 342, 15572, 273, 670, 2030, 1375, 16010, 2087, 285, 247, 3167, 273, 4400, 2208, 11009, 13, 1690, 253, 7671, 21506, 5399, 313, 39, 2648, 582, 253, 7671, 17061, 5399, 313, 5518, 36, 582, 285, 253, 4487, 273, 8293, 313, 13220, 43, 481, 1583, 2546, 441, 281, 10078, 275, 247, 8059, 1067, 13, 984, 597, 3078, 281, 4089, 752, 11349, 1158, 670, 25824, 4848, 406, 10037, 15, 844, 8549, 634, 3935, 27, 7108, 971, 285, 878, 271, 990, 281, 4848, 406, 10037, 1024, 2, 187, 187, 1231, 457, 250, 2403, 1943, 10212, 342, 253, 3108, 15738, 665, 476, 1361, 281, 990, 4848, 406, 10037, 15, 844, 457, 306, 644, 10922, 562, 281, 4413, 665, 452, 247, 13841, 275, 253, 4848, 406, 10037, 2523, 13, 13817, 11597, 13, 23830, 13, 4400, 21790, 13, 285, 253, 16010, 2087, 665, 452, 15257, 644, 2444, 281, 2007, 776, 2847, 15, 187, 187, 1898, 984, 273, 634, 16400, 1329, 13, 841, 3108, 15738, 403, 11298, 15, 20058, 13, 359, 457, 306, 3562, 14779, 10254, 15, 6061, 1052, 13, 933, 4481, 6383, 452, 7416, 253, 4544, 387, 990, 18848, 406, 10037, 15, 2061, 15, 11505, 4963, 3420, 310, 8871, 598, 253, 2926, 13, 285, 359, 457, 306, 644, 4854, 432, 37244, 285, 21790, 1512, 15, 187, 187, 1231, 497, 12470, 281, 436, 4804, 984, 273, 634, 46509, 6031, 15, 46755, 15738, 285, 3061, 22741, 403, 6523, 253, 3668, 6281, 326, 436, 310, 247, 3809, 5675, 4866, 15, 11239, 368, 323, 512, 326, 368, 452, 2218, 285, 588, 513, 15, 0 ]

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

307

[ 0, 68, 560, 13, 36475, 13, 285, 26994, 31108, 10, 285, 1114, 406, 302, 313, 84, 2061, 18256, 10, 37002, 2479, 9190, 361, 2385, 2194, 1008, 9190, 361, 1540, 2194, 1008, 9190, 361, 2950, 2498, 380, 2752, 34, 8638, 273, 8357, 1981, 3116, 310, 3103, 8943, 323, 247, 4618, 2491, 273, 32983, 285, 17177, 3417, 13, 347, 973, 347, 323, 16529, 26994, 31108, 2796, 37327, 30147, 6027, 2399, 3296, 571, 5627, 323, 534, 253, 12107, 1055, 273, 475, 46, 15, 305, 1079, 11, 1411, 11492, 310, 4390, 1146, 6949, 275, 253, 17493, 15, 187, 187, 1147, 556, 644, 4081, 326, 2752, 34, 310, 271, 7374, 77, 10888, 342, 247, 4460, 4438, 273, 2250, 13, 533, 1077, 1652, 310, 1929, 670, 253, 1039, 275, 534, 2752, 34, 21425, 8357, 47438, 15, 1008, 9190, 361, 2950, 62, 1119, 326, 2752, 34, 734, 453, 373, 342, 19483, 26132, 13, 1049, 21945, 17313, 3275, 13, 285, 990, 375, 33309, 1729, 49060, 1309, 253, 3563, 3408, 273, 475, 45, 15, 2206, 400, 360, 11, 8357, 47438, 275, 5415, 1708, 285, 387, 8654, 2515, 323, 1824, 13797, 15, 3856, 13, 275, 19767, 789, 13, 14006, 403, 4824, 562, 281, 3653, 849, 6938, 26638, 313, 19001, 1255, 285, 29190, 18509, 1824, 2442, 10, 2818, 2752, 34, 8638, 275, 1340, 281, 30955, 697, 2570, 285, 2440, 595, 13527, 4438, 273, 2250, 15, 733, 310, 2011, 326, 2752, 34, 734, 453, 373, 342, 2067, 2234, 6297, 4768, 253, 2644, 1232, 273, 8357, 47438, 285, 326, 697, 16294, 1055, 310, 762, 2266, 6938, 1453, 15, 733, 369, 1119, 326, 253, 2538, 273, 2752, 34, 327, 8357, 47438, 403, 7052, 45253, 275, 13862, 2429, 342, 1708, 15, 5488, 13, 352, 310, 2011, 326, 253, 1077, 2393, 4870, 273, 3302, 26223, 516, 2383, 539, 13, 347, 973, 347, 1071, 66, 25566, 13, 403, 247, 2201, 2303, 323, 2752, 34, 1309, 253, 2393, 3408, 273, 47438, 15, 6408, 253, 3563, 3408, 273, 47438, 13, 352, 310, 5183, 1060, 407, 11745, 1783, 326, 26223, 3116, 285, 5787, 6297, 2905, 281, 894, 7466, 3116, 273, 253, 1985, 2024, 283, 35040, 406, 302, 1190, 7844, 13, 347, 973, 347, 990, 375, 33309, 1729, 49060, 403, 5876, 407, 2752, 34, 15, 380, 5460, 3486, 273, 6938, 26638, 824, 347, 1824, 14384, 4073, 285, 1708, 2515, 327, 253, 2538, 273, 2752, 34, 3559, 1060, 310, 4845, 715, 247, 35377, 1566, 281, 5513, 253, 2570, 6355, 275, 4602, 342, 253, 10038, 16946, 8673, 9503, 273, 2752, 34, 347, 271, 7374, 77, 10888, 273, 475, 46, 15, 305, 1079, 11, 1774, 323, 253, 15644, 281, 10802, 14, 1087, 531, 33890, 15, 187, 187, 22025, 285, 3082, 1712, 84, 19, 94, 187, 18613, 187, 187, 29816, 1515, 2515, 285, 45140, 14, 4774, 6341, 1712, 84, 20, 94, 187, 48904, 187, 187, 3220, 34, 313, 81, 5051, 8994, 1525, 9498, 10375, 285, 15134, 347, 2529, 407, 1008, 9190, 361, 2385, 1092, 369, 1006, 4087, 2530, 407, 12734, 443, 15, 1176, 442, 13, 330, 1410, 47, 13, 2499, 285, 18526, 6453, 13, 42268, 13, 6181, 13, 285, 908, 347, 247, 26492, 5739, 13, 3969, 281, 470, 15, 1671, 6, 313, 87, 16, 87, 10, 26492, 275, 253, 4646, 604, 608, 6027, 740, 26678, 21, 63, 353, 2752, 34, 369, 908, 15, 3323, 1515, 273, 846, 14, 7417, 2348, 12922, 273, 475, 45, 15, 2206, 400, 360, 11, 418, 15, 7499, 1047, 12196, 9499, 14381, 856, 859, 257, 1383, 9218, 74, 8754, 10, 369, 15626, 970, 1264, 24945, 273, 2456, 12922, 591, 898, 3591, 8939, 363, 11609, 4508, 767, 8090, 273, 5806, 2929, 285, 721, 1686, 273, 25850, 13, 35755, 1824, 342, 470, 15, 1671, 6, 313, 87, 16, 87, 10, 26492, 12196, 5707, 4646, 3401, 2479, 9190, 361, 2950, 2498, 1023, 5797, 497, 10729, 387, 1283, 11758, 36, 275, 247, 322, 1279, 80, 25403, 12596, 20316, 6004, 23119, 313, 4132, 51, 14, 16552, 10, 275, 5415, 3168, 1708, 42419, 1976, 9804, 17071, 256, 26678, 18, 63, 278, 26678, 19, 41825, 329, 10269, 26292, 36167, 17199, 369, 908, 281, 4868, 253, 26026, 273, 1071, 66, 285, 990, 375, 33309, 31430, 273, 253, 8357, 7625, 15, 367, 27206, 14, 4774, 6341, 2479, 9190, 361, 2945, 3291, 497, 908, 323, 2677, 5411, 990, 375, 33309, 1729, 49060, 15, 1198, 1963, 14, 390, 4408, 14, 6160, 6260, 13, 2644, 19019, 13, 38026, 313, 12973, 581, 14, 19016, 273, 253, 3500, 406, 302, 1190, 283, 4614, 2024, 7844, 10, 390, 21141, 313, 6185, 1658, 1190, 274, 990, 375, 33309, 10, 7944, 497, 908, 432, 12922, 19703, 1071, 66, 31430, 533, 417, 990, 375, 33309, 31430, 15, 187, 187, 30731, 610, 80, 1979, 6341, 1712, 84, 21, 94, 187, 26043, 187, 187, 32702, 555, 12922, 323, 1016, 941, 1127, 497, 516, 2383, 264, 342, 1027, 6299, 273, 37352, 22471, 313, 21459, 10, 721, 933, 313, 29916, 28230, 13, 12604, 5200, 579, 248, 13, 6176, 10, 285, 19019, 9257, 10375, 387, 253, 2069, 4860, 15, 19096, 610, 375, 497, 9495, 4830, 247, 2806, 25757, 5340, 285, 3888, 497, 2668, 342, 247, 10269, 26292, 36167, 17199, 313, 4015, 3737, 353, 59, 11140, 10, 4802, 281, 247, 5865, 6568, 313, 4015, 3737, 399, 6739, 21980, 10, 387, 1384, 14, 8089, 28358, 970, 2070, 3737, 10744, 9138, 3694, 313, 55, 21, 15, 17, 3727, 13718, 481, 19388, 14, 12496, 14, 2713, 33270, 3888, 387, 247, 6064, 273, 2030, 1549, 6027, 39134, 12275, 313, 29206, 4809, 4313, 30, 18, 10, 497, 9809, 275, 27703, 3269, 5981, 15, 10882, 1783, 369, 2684, 970, 253, 10882, 43, 3268, 401, 27520, 16616, 2413, 1358, 71, 27520, 15, 1026, 16, 16123, 16, 4663, 15, 5581, 16, 39, 27520, 22226, 342, 253, 10882, 43, 10295, 2715, 337, 15, 1857, 83, 15, 11977, 9436, 281, 854, 14, 2713, 3888, 13, 7887, 272, 369, 2684, 970, 253, 17252, 596, 6842, 15191, 362, 18, 15, 1047, 16616, 2413, 1358, 71, 27520, 15, 1026, 16, 16123, 16, 4663, 15, 5581, 16, 22156, 64, 48993, 22226, 9009, 275, 401, 27520, 15, 380, 17252, 596, 6842, 15191, 476, 10269, 274, 907, 854, 14, 2713, 3888, 970, 2710, 4156, 313, 15700, 12935, 14, 13472, 10, 7887, 272, 11333, 15, 380, 686, 9671, 8, 5933, 369, 4236, 323, 7887, 272, 13 ]

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

1,024

[ 0, 13689, 272, 285, 42428, 27, 8339, 10491, 310, 247, 6654, 875, 6733, 285, 2228, 14, 44571, 15, 187, 510, 1655, 1263, 2340, 684, 253, 4103, 6070, 281, 534, 1491, 11839, 285, 7219, 6733, 7102, 1491, 14, 48027, 8130, 275, 247, 9162, 4836, 15, 13036, 2561, 556, 8042, 281, 253, 6349, 273, 5912, 6351, 13, 253, 4248, 281, 534, 10491, 247, 4735, 11355, 253, 4839, 273, 2228, 13, 275, 22349, 835, 5014, 403, 11096, 281, 581, 3410, 15, 844, 16387, 5014, 347, 597, 19958, 1491, 275, 271, 48566, 3634, 285, 5950, 1880, 597, 3407, 616, 3186, 342, 247, 1029, 6351, 4735, 390, 271, 5919, 4735, 326, 9142, 4136, 323, 11184, 3530, 591, 2332, 15, 21666, 9013, 281, 3410, 253, 625, 5919, 4735, 806, 13, 3340, 672, 4735, 1491, 574, 247, 2169, 2289, 2105, 313, 18139, 2092, 337, 481, 2091, 2289, 4815, 497, 512, 533, 17527, 970, 5130, 14, 40111, 313, 18139, 2092, 374, 582, 5014, 8, 4993, 569, 1335, 21947, 6733, 689, 1029, 5912, 6351, 13, 2167, 5912, 6351, 369, 2011, 281, 4833, 2289, 6127, 15, 0 ]

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

177

[ 0, 273, 370, 46, 61, 3549, 884, 63, 21, 5, 3907, 1524, 5904, 5180, 20, 62, 310, 1077, 1355, 15, 844, 897, 275, 776, 4679, 253, 1180, 370, 76, 64, 85, 30, 21, 15, 20, 1352, 5838, 326, 247, 4217, 370, 76, 64, 85, 5, 588, 1818, 7293, 327, 253, 1979, 273, 253, 15115, 4103, 281, 253, 1979, 273, 253, 2644, 5028, 13, 390, 39406, 13, 327, 253, 1318, 273, 370, 81, 1352, 313, 1231, 588, 45735, 436, 13515, 2698, 844, 1056, 253, 1750, 326, 247, 2603, 556, 644, 5189, 604, 271, 32459, 595, 1029, 1180, 370, 79, 5, 273, 3104, 1509, 949, 247, 12275, 370, 35, 1366, 326, 310, 13, 604, 370, 79, 2239, 295, 64, 85, 3843, 393, 1906, 559, 465, 64, 85, 393, 2592, 1352, 187, 187, 510, 5912, 273, 387, 1878, 370, 79, 64, 85, 5, 3104, 14270, 370, 35, 5, 1955, 281, 3632, 4606, 310, 5512, 370, 83, 64, 85, 3843, 470, 15, 22, 393, 4820, 92, 254, 12964, 1603, 76, 64, 85, 6602, 2609, 92, 19, 17137, 21525, 715, 2395, 253, 1180, 273, 15115, 370, 46, 1366, 253, 5912, 273, 387, 1878, 370, 79, 64, 85, 5, 3104, 14270, 387, 1878, 581, 273, 253, 15115, 1955, 281, 3632, 4606, 313, 66, 773, 424, 7750, 2762, 424, 15440, 476, 320, 34930, 407, 1764, 6190, 92, 16983, 2281, 94, 426, 337, 428, 313, 18, 14, 83, 64, 85, 7415, 46, 10878, 380, 1401, 5672, 4016, 424, 2281, 310, 840, 1677, 407, 669, 6190, 92, 14543, 2281, 94, 426, 337, 428, 393, 6190, 92, 16983, 2281, 724, 390, 1764, 6165, 3843, 393, 6190, 92, 14543, 2281, 94, 426, 393, 6190, 92, 39943, 94, 3843, 313, 18, 428, 391, 64, 85, 7415, 46, 94, 426, 393, 1274, 60, 18, 428, 470, 15, 22, 393, 4820, 92, 254, 12964, 889, 1274, 9, 76, 64, 85, 1227, 393, 2609, 92, 19, 889, 918, 1572, 918, 30522, 46, 10878, 3954, 3551, 896, 281, 253, 1318, 273, 370, 76, 64, 85, 1366, 9428, 359, 971, 281, 452, 247, 5927, 7162, 1268, 669, 6165, 393, 249, 313, 17, 13, 18, 3822, 2635, 370, 76, 64, 85, 5, 1364, 10517, 3318, 76, 64, 85, 2239, 393, 2609, 92, 19, 94, 11549, 393, 4820, 92, 254, 12964, 11444, 18, 94, 393, 1274, 60, 19, 61, 1274, 9, 18, 428, 393, 6165, 768, 18, 32095, 46, 3080, 918, 1572, 918, 44524, 1198, 1650, 13, 604, 359, 878, 247, 2032, 4016, 2281, 273, 387, 1878, 370, 1525, 27212, 285, 359, 452, 370, 46, 30, 884, 63, 21, 5, 15115, 13, 840, 359, 878, 281, 5206, 370, 76, 64, 85, 2239, 577, 15, 38464, 1352, 1310, 359, 403, 10048, 342, 247, 2032, 4016, 2281, 273, 760, 370, 2270, 27212, 285, 452, 816, 370, 46, 426, 884, 63, 20, 5, 15115, 13, 840, 370, 76, 64, 85, 2239, 495, 15, 28166, 5, 588, 36433, 15, 28285, 326, 370, 46, 5, 310, 7976, 327, 370, 81, 1366, 594, 359, 476, 3185, 3630, 275, 253, 11370, 323, 370, 76, 64, 85, 5, 347, 3318, 76, 64, 85, 2239, 393, 2609, 92, 19, 94, 11549, 393, 4820, 92, 254, 12964, 11444, 18, 94, 393, 1274, 60, 19, 61, 1274, 9, 18, 428, 393, 6165, 768, 81, 63, 19, 6602, 2059, 889, 918, 1572, 918, 44524, 17766, 326, 436, 8180, 310, 1335, 3588, 672, 6332, 275, 3884, 7441, 403, 1246, 187, 187, 4125, 1908, 253, 5912, 273, 5816, 247, 2603, 326, 310, 1246, 15, 3856, 6332, 1537, 1132, 1534, 2554, 15, 22883, 326, 359, 452, 271, 475, 66, 30400, 11, 4023, 30844, 6642, 323, 370, 79, 64, 84, 1352, 496, 669, 2592, 5, 5085, 13, 370, 79, 64, 84, 426, 465, 64, 84, 393, 2592, 5, 835, 370, 76, 64, 84, 5, 310, 247, 2762, 3638, 285, 669, 2592, 5, 310, 253, 2629, 11254, 273, 253, 3268, 273, 253, 1180, 273, 4114, 24102, 8136, 949, 247, 12275, 15, 1723, 13, 1580, 776, 13562, 556, 6332, 275, 697, 6341, 13, 417, 512, 273, 253, 5189, 2603, 6353, 5189, 403, 896, 16589, 949, 253, 12275, 4508, 253, 2603, 15, 1281, 669, 1637, 5, 320, 253, 2629, 11254, 273, 253, 2228, 273, 253, 12336, 6814, 15, 2635, 604, 247, 8091, 310, 23128, 432, 247, 2603, 3304, 247, 12275, 370, 35, 5, 285, 310, 5189, 327, 253, 13765, 3781, 13, 253, 5912, 326, 352, 588, 320, 896, 16589, 949, 370, 35, 64, 83, 5, 310, 2905, 281, 253, 1979, 273, 253, 12275, 370, 83, 1366, 253, 4181, 432, 253, 7548, 370, 69, 1366, 285, 253, 2629, 11254, 273, 253, 12336, 2228, 669, 1637, 1352, 3932, 253, 4328, 273, 253, 2603, 310, 417, 1929, 475, 66, 30400, 2992, 359, 513, 417, 871, 752, 370, 69, 5, 310, 15, 11680, 253, 9065, 1083, 1650, 835, 370, 69, 426, 416, 5, 313, 338, 253, 2603, 310, 2810, 281, 253, 7548, 13, 5481, 310, 6927, 481, 2635, 253, 5189, 8091, 310, 896, 16589, 949, 370, 35, 5, 604, 285, 760, 604, 669, 3124, 654, 393, 274, 291, 266, 313, 83, 16, 51, 10, 426, 393, 274, 291, 266, 268, 1352, 1281, 370, 36, 9, 81, 1337, 1637, 1009, 320, 2931, 347, 3318, 36, 9, 81, 1337, 1637, 38132, 393, 1124, 92, 18, 1217, 19, 889, 4820, 92, 254, 71, 889, 1274, 1035, 1124, 464, 274, 291, 266, 268, 2704, 2609, 92, 19, 889, 1637, 889, 918, 11127, 831, 1180, 310, 253, 5912, 326, 1677, 253, 2622, 3268, 370, 47, 9, 17, 1337, 1637, 1009, 273, 12336, 6332, 13, 253, 896, 12378, 273, 247, 8091, 11999, 949, 253, 12275, 370, 35, 5, 313, 3529, 310, 13, 604, 669, 3124, 654, 393, 274, 291, 266, 268, 14553, 2635, 13, 1955, 281, 253, 2228, 13, 760, 670, 370, 187, 79, 64, 84, 8, 426, 330, 9, 81, 1337, 1637, 10, 295, 64, 84, 426, 465, 64, 84, 8, 393, 2592, 187, 5, 4114, 6353, 778, 320, 16589, 949, 12275, 370, 35, 64, 83, 1352, 3824, 1071, 34472, 247, 2603, 387, 370, 35, 5, 604, 370, 79, 426, 295, 64, 84, 8, 559, 295, 64, 67, 2239, 393, 1906, 559, 465, 64, 85, 393, 2592, 1366, 594, 352, 588, 2985, 352, 604, 370, 79, 64, 67, 654, 393, 1906 ]

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

1,024

[ 0, 4015, 1226, 5332, 292, 10540, 16061, 187, 187, 4015, 1226, 5332, 292, 10540, 16061, 310, 247, 8210, 3085, 6828, 407, 5119, 1605, 36, 1584, 1952, 15, 380, 3085, 8599, 253, 2926, 273, 17502, 25856, 313, 3251, 266, 28887, 20338, 10, 665, 5605, 281, 1089, 2032, 2389, 342, 10035, 313, 13238, 12679, 27991, 582, 247, 23639, 13, 13847, 5662, 637, 665, 25856, 1313, 327, 247, 581, 14, 6170, 1462, 15, 50276, 46, 750, 659, 1306, 432, 41438, 48895, 285, 28255, 13541, 23898, 7120, 5794, 460, 13, 285, 5079, 3570, 22531, 17771, 611, 429, 7120, 247, 2210, 80, 273, 2994, 15, 187, 187, 1147, 310, 253, 806, 3085, 407, 1605, 36, 1584, 1952, 534, 11521, 3345, 273, 35377, 14459, 39831, 15, 187, 187, 7504, 4859, 187, 187, 1413, 27, 7878, 23641, 14, 4919, 6590, 187, 1413, 27, 12430, 6590, 187, 1413, 27, 13435, 84, 23641, 14, 4919, 6590, 187, 1413, 27, 7878, 6590, 187, 1413, 27, 14376, 14, 12982, 6590, 187, 1413, 27, 32159, 873, 275, 8742, 9757, 187, 1413, 27, 32159, 6828, 407, 5119, 1605, 36, 1584, 1952, 187, 1413, 27, 13435, 84, 14562, 6590, 187, 1413, 27, 45, 20318, 14, 4919, 14562, 6590, 187, 1413, 27, 7878, 14562, 6590, 0 ]

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

201

[ 0, 35421, 4715, 2746, 28, 313, 2886, 10, 8131, 31701, 16, 10927, 281, 260, 1562, 412, 3358, 16, 20039, 1562, 412, 3358, 1971, 970, 22296, 5145, 3250, 28269, 3082, 326, 2783, 3382, 285, 11214, 2646, 4986, 941, 432, 253, 367, 6217, 47, 3250, 2300, 3299, 2332, 347, 23403, 4903, 28, 285, 313, 12211, 10, 37372, 17618, 841, 3110, 9959, 285, 7605, 16, 28936, 3250, 28269, 3210, 970, 941, 432, 253, 18374, 5666, 17012, 14255, 3993, 281, 5712, 12876, 27675, 313, 45897, 3458, 37, 60, 805, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 26313, 910, 709, 14, 881, 568, 709, 7547, 285, 253, 5625, 13575, 4873, 37120, 2646, 19177, 42849, 313, 1830, 5077, 60, 1012, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 28059, 910, 709, 14, 881, 568, 709, 7547, 15302, 15, 2053, 6260, 403, 2825, 3250, 1344, 255, 1245, 13, 1677, 253, 4232, 1941, 273, 2825, 3910, 275, 253, 8996, 273, 9454, 285, 3629, 1941, 273, 2825, 3910, 275, 33950, 386, 2380, 15, 544, 883, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 23643, 910, 709, 14, 881, 568, 709, 4982, 544, 1047, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 28835, 910, 709, 14, 881, 568, 709, 4982, 544, 1010, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 22140, 910, 709, 14, 881, 568, 709, 4982, 544, 1036, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 29407, 910, 709, 14, 881, 568, 709, 4982, 544, 1166, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 31202, 910, 709, 14, 881, 568, 709, 4982, 544, 1093, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 31272, 910, 709, 14, 881, 568, 709, 4982, 544, 746, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 33416, 910, 709, 14, 881, 568, 709, 4982, 544, 938, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 20515, 910, 709, 14, 881, 568, 709, 4982, 544, 1797, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 39060, 910, 709, 14, 881, 568, 709, 986, 187, 187, 3138, 510, 767, 3250, 13311, 1783, 24824, 15, 3824, 1783, 24824, 20311, 275, 767, 8661, 15, 496, 3924, 337, 13, 359, 3636, 27909, 19831, 12147, 9959, 275, 253, 42870, 30442, 37120, 2646, 19177, 5489, 10701, 9422, 32013, 386, 3050, 8518, 37120, 2646, 4986, 12602, 313, 49, 6217, 47, 3250, 2300, 3299, 10, 10895, 13, 11794, 323, 1821, 285, 2255, 13, 970, 247, 941, 3250, 17477, 2746, 313, 13311, 337, 34, 558, 359, 840, 17618, 1110, 9959, 970, 941, 432, 18374, 5666, 17012, 14255, 3993, 281, 5712, 12876, 27675, 313, 45897, 3458, 37, 10, 285, 5625, 13575, 4873, 37120, 2646, 19177, 42849, 313, 1830, 5077, 28, 3924, 337, 35, 481, 38182, 326, 22266, 253, 17618, 27909, 19831, 9959, 497, 3636, 275, 3924, 337, 36, 15, 496, 3924, 374, 13, 15970, 3210, 497, 3715, 970, 367, 6217, 47, 3250, 2300, 3299, 941, 285, 497, 37372, 17618, 970, 3915, 1277, 3458, 37, 285, 4110, 5077, 941, 15, 388, 4976, 52, 13, 9516, 27675, 36485, 14446, 28, 1165, 15782, 3250, 36, 13, 22637, 43515, 273, 3315, 8122, 40561, 16692, 1497, 28, 9947, 30948, 13, 322, 23744, 3689, 24649, 473, 735, 312, 4906, 6439, 2271, 5774, 5305, 53, 14, 12971, 14, 31013, 14, 72, 2874, 4253, 68, 431, 1047, 3507, 14, 926, 14, 5831, 94, 187, 187, 510, 11214, 2646, 4986, 20896, 2908, 275, 253, 1246, 1263, 403, 2800, 19208, 275, 390, 2822, 253, 475, 53, 4350, 1539, 22, 11, 313, 2967, 10655, 18467, 1812, 582, 475, 947, 23959, 20, 11, 313, 2967, 30651, 34769, 582, 475, 2573, 18446, 18, 11, 313, 2967, 38503, 1706, 2251, 13, 14208, 23735, 883, 1229, 13, 285, 14208, 1630, 17758, 2357, 582, 285, 475, 34, 9914, 11, 313, 2967, 1166, 1012, 1976, 2526, 10, 3608, 15, 5815, 273, 841, 19208, 497, 253, 346, 3956, 3, 20231, 275, 697, 9056, 9128, 4363, 5864, 1263, 313, 31663, 1719, 10, 20231, 2625, 13, 3707, 326, 323, 475, 2573, 18446, 18, 2992, 359, 2908, 253, 346, 3956, 3, 20231, 347, 973, 347, 767, 2571, 275, 1027, 40603, 8336, 15, 380, 23765, 1719, 574, 908, 347, 21903, 6532, 34818, 285, 465, 1362, 39771, 460, 6299, 38284, 275, 367, 6217, 47, 3250, 2300, 3299, 3530, 4681, 1423, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 28484, 910, 709, 14, 881, 568, 709, 4982, 544, 1508, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 34063, 910, 709, 14, 881, 568, 709, 986, 4683, 253, 6532, 19789, 38284, 275, 1110, 1363, 13, 34818, 285, 465, 1362, 39771, 460, 6299, 497, 253, 954, 4122, 2330, 342, 13575, 4873, 6973, 387, 854, 575, 24464, 60, 1423, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 28484, 910, 709, 14, 881, 568, 709, 986, 390, 342, 8245, 27909, 19831, 12147, 1532, 531, 273, 253, 954, 1774, 23477, 273, 27585, 33950, 386, 1971, 2380, 4681, 1508, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 34063, 910, 709, 14, 881, 568, 709, 986, 380, 2898, 273, 247, 2561, 5700, 326, 3206, 253, 897, 273, 7218, 19177, 281, 346, 22433, 3, 730, 19177, 6607, 247, 3213, 2584, 253, 11250, 273, 7534, 941, 313, 74, 15, 70, 904, 32184, 6299, 2330, 342, 6973, 582, 275, 271, 3434, 281, 2118, 4457, 253, 5899, 13716, 11498, 908, 275, 24414, 610, 313, 70, 15, 72, 904, 253, 9516, 27675, 36485, 14446, 313, 41, 4976, 52, 10, 285, 253, 22637, 43515, 273, 3315, 8122, 40561, 16692, 1497, 313, 50, 15782, 3250, 36, 5029, 41925, 5164, 14421, 2175, 2692, 326, 23471, 273, 1097, 308, 4350, 1539, 22, 285, 7220, 23959, 20, 275, 23586, 595, 6012, 894, 3104, 7369, 275, 6137, 34818, 275, 253, 894, 4466, 3420, 13, 285, 326, 16663, 275, 253, 2048, 273, 1097, 6202, 18446, 18, 285, 329, 9914, 812, 4833, 465, 1362, 39771, 460, 26132, 347, 973, 347, 253, 2538, 273, 32837, 273, 10696, 17555, 26, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 24133, 910, 709, 14, 881, 568, 709, 4982, 544, 740, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 17553, 910, 709, 14, 881, 568, 709, 986, 247, 1232, 326, 556, 644, 2011, 281, 1132, 271, 1774, 2554, 275, 10399, 37, 42405, 4681, 1348, 1084, 68, 431, 1047, 3507, 14, 2383, 14, 33713, 910, 709, 14, 881, 568, 709 ]

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

1,024

[ 0, 585, 1209, 2224, 347, 973, 347, 247, 4302, 5333, 15, 380, 5502, 281, 2990, 3492, 310, 247, 6612, 347, 6383, 1379, 5750, 273, 12112, 187, 13980, 285, 3492, 13234, 15, 1284, 3988, 4323, 689, 253, 8153, 2990, 35205, 285, 9260, 13789, 2118, 562, 281, 2990, 12583, 11987, 2718, 187, 187, 28412, 6386, 273, 25537, 6617, 15, 16688, 253, 1533, 6657, 275, 2990, 3492, 380, 1533, 273, 19714, 310, 6890, 15, 3105, 13234, 21208, 261, 187, 1542, 247, 2852, 14, 16314, 985, 15, 21208, 261, 556, 1048, 2793, 275, 2990, 3492, 5482, 6276, 253, 5502, 432, 7370, 281, 5865, 15, 8153, 187, 187, 12847, 64, 49017, 64, 2504, 11395, 64, 257, 64, 805, 2125, 64, 4213, 15, 9275, 399, 19674, 2990, 3492, 256, 2442, 15, 24709, 634, 3492, 13234, 1329, 634, 8113, 187, 12487, 496, 326, 807, 21208, 261, 5611, 253, 1533, 256, 806, 2990, 32499, 15, 18901, 1580, 359, 1670, 5608, 253, 2791, 342, 247, 187, 187, 16455, 4323, 2718, 275, 16048, 15043, 3249, 2629, 342, 697, 1211, 2990, 3492, 40438, 253, 16048, 15043, 3694, 534, 4483, 4212, 281, 1408, 187, 47, 18601, 5718, 273, 38405, 5542, 1329, 3492, 432, 2349, 351, 398, 285, 2990, 12583, 11987, 15, 41275, 11685, 4384, 3239, 1329, 275, 7503, 4315, 20564, 0 ]

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

209

[ 0, 43, 14922, 285, 26089, 388, 603, 5194, 1982, 5, 883, 78, 21139, 6361, 16454, 2968, 187, 187, 47, 17707, 388, 603, 556, 9288, 247, 1305, 302, 3786, 9633, 407, 44990, 3354, 275, 247, 4471, 14, 24561, 21059, 2968, 285, 556, 9716, 2761, 8157, 26, 78, 313, 3016, 5, 883, 78, 10, 4409, 273, 500, 14922, 21139, 6361, 40093, 281, 564, 281, 253, 747, 2670, 15, 380, 18500, 273, 12036, 500, 14922, 9411, 3797, 253, 40520, 14, 1449, 16676, 455, 342, 247, 577, 78, 3986, 285, 253, 1722, 78, 14, 45017, 36725, 14, 15046, 1566, 15, 187, 187, 1552, 807, 13, 500, 14922, 46417, 3387, 1107, 273, 21139, 6361, 16454, 3275, 285, 6224, 6423, 5682, 13040, 81, 10228, 753, 13, 773, 7132, 310, 247, 2774, 528, 807, 323, 500, 14922, 16676, 455, 21139, 6361, 40093, 347, 359, 1616, 253, 3275, 19054, 273, 247, 5145, 534, 3240, 12832, 4391, 253, 4753, 10885, 2791, 4457, 8981, 15, 844, 403, 25534, 281, 1265, 752, 310, 247, 41457, 807, 342, 247, 15143, 1340, 432, 581, 273, 776, 5962, 5591, 6383, 1425, 187, 187, 47, 17707, 388, 603, 10399, 17953, 26089, 753, 13, 773, 47, 17707, 388, 603, 310, 25534, 281, 2007, 19165, 697, 4891, 11696, 342, 500, 14922, 342, 436, 1781, 4014, 20238, 1340, 15, 844, 15555, 9361, 275, 9159, 4980, 13, 1732, 11220, 7269, 3580, 432, 2791, 4283, 17739, 285, 500, 14922, 5604, 16382, 436, 6866, 15, 14566, 4307, 2366, 8379, 323, 1142, 1107, 13, 359, 871, 352, 457, 84, 247, 1416, 359, 476, 4517, 281, 7257, 247, 3290, 285, 9630, 1885, 281, 776, 6383, 1425, 187, 187, 10195, 273, 253, 9841, 9716, 10679, 588, 5739, 253, 1305, 302, 3786, 9633, 407, 253, 4444, 16263, 1387, 44990, 3354, 534, 2427, 715, 5286, 3563, 1390, 807, 15, 187, 187, 1628, 1552, 747, 1305, 302, 310, 275, 247, 4335, 4328, 323, 26089, 388, 603, 285, 11521, 275, 1386, 342, 776, 5827, 323, 16122, 776, 1305, 302, 2990, 2007, 6420, 15, 309, 476, 6583, 326, 359, 588, 3959, 776, 6383, 3580, 432, 1016, 273, 776, 22387, 281, 2486, 4444, 13, 23241, 13, 21487, 285, 15519, 9189, 1806, 2879, 26089, 15, 187, 187, 10572, 10360, 187, 187, 15883, 14963, 310, 17234, 273, 253, 891, 28889, 7138, 1108, 534, 3797, 5865, 285, 3379, 34081, 273, 247, 42886, 11338, 13, 5566, 14, 12412, 1106, 25627, 13, 285, 253, 21798, 418, 2094, 14, 85, 32068, 8499, 13, 347, 973, 347, 21983, 85, 48985, 15, 681, 13, 534, 310, 9300, 5312, 15, 6270, 556, 1313, 285, 20114, 690, 273, 253, 1533, 434, 4283, 9787, 4958, 473, 3172, 37627, 13, 11731, 84, 285, 10399, 84, 13, 285, 3936, 1270, 15555, 275, 19165, 272, 891, 28889, 434, 1659, 347, 253, 4283, 12209, 323, 8881, 1561, 253, 4491, 13, 247, 12681, 326, 521, 644, 4270, 598, 689, 253, 7138, 434, 2030, 14, 2913, 2892, 15, 0 ]

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

472

[ 0, 12558, 10525, 8939, 36215, 31562, 14604, 273, 6079, 4370, 2739, 187, 187, 44, 19038, 1719, 45893, 13, 6956, 15, 313, 2088, 10, 1969, 6470, 34640, 7350, 20588, 16301, 14, 3169, 25148, 8939, 36215, 281, 6983, 247, 1273, 14604, 273, 6079, 4370, 2739, 4197, 387, 247, 3684, 9756, 4444, 835, 3275, 556, 644, 14116, 13, 253, 2567, 6138, 8216, 15, 187, 187, 510, 4444, 275, 443, 38766, 13, 322, 15, 36, 904, 310, 253, 1072, 581, 326, 1160, 13100, 14, 1987, 22315, 2739, 326, 5339, 18660, 273, 9097, 23931, 275, 5826, 15, 187, 187, 34, 3908, 432, 253, 2567, 753, 253, 6983, 3797, 581, 3275, 1408, 273, 31541, 43332, 323, 253, 8939, 418, 1189, 434, 25293, 32967, 10315, 26658, 6079, 4370, 2739, 15, 380, 30680, 13, 6956, 8634, 3169, 2567, 753, 581, 7351, 5762, 2762, 323, 24791, 5021, 13, 285, 253, 6983, 273, 1740, 3275, 11646, 310, 1146, 5196, 347, 247, 47644, 552, 2557, 15, 1621, 4370, 31372, 452, 644, 2361, 15, 187, 187, 510, 1885, 369, 5939, 281, 6383, 275, 884, 3054, 27, 7758, 13, 18370, 13, 14070, 13, 11314, 13, 1457, 2816, 13, 3729, 9756, 13, 10128, 13, 11637, 13, 3684, 9756, 285, 9385, 15, 187, 187, 40582, 369, 14116, 4162, 854, 387, 253, 443, 38766, 4444, 846, 247, 6983, 767, 1897, 4321, 7668, 247, 1027, 1885, 13, 25148, 427, 4953, 932, 25852, 3189, 267, 708, 23773, 6079, 4370, 2739, 15, 329, 5798, 2739, 6983, 387, 253, 4444, 275, 4748, 369, 20588, 984, 253, 2739, 1904, 626, 3831, 2217, 32788, 6771, 13, 271, 5667, 23281, 323, 16581, 15, 187, 187, 60, 30858, 7788, 2708, 62, 187, 187, 3, 1231, 1849, 2668, 19779, 2250, 285, 14116, 3275, 937, 753, 25148, 35027, 3344, 460, 3774, 11416, 15, 346, 1231, 1379, 3290, 3374, 1077, 10369, 285, 588, 21058, 3275, 672, 359, 476, 21684, 326, 776, 3580, 2525, 776, 32881, 3290, 7465, 449, 0 ]

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

312