SmallDoge/decay_dataset_processed · Datasets at Hugging Face

input_ids listlengths 1 2.05k	attention_mask listlengths 1 2.05k
[ 269, 5131, 5758, 543, 2079, 540, 957, 476, 274, 267, 6429, 476, 272, 538, 13171, 9372, 2261, 869, 324, 5889, 23717, 338, 4387, 3655, 755, 639, 602, 4465, 5889, 23717, 339, 1118, 596, 2879, 648, 649, 9153, 563, 23087, 540, 519, 1650, 713, 2261, 869, 324, 781, 4387, 3655, 755, 639, 519, 2038, 3655, 755, 669, 777, 1504, 267, 1247, 538, 10009, 538, 7187, 27437, 267, 1336, 922, 1259, 547, 24469, 269, 16362, 3655, 755, 639, 13171, 9372, 2261, 869, 324, 3349, 540, 9115, 4729, 7650, 5758, 1299, 2079, 7139, 4084, 6429, 476, 272, 10207, 476, 273, 1700, 275, 10207, 476, 276, 1700, 277, 669, 11501, 476, 273, 1700, 2675, 2940, 476, 279, 669, 11501, 476, 274, 269, 16362, 3655, 755, 639, 630, 3422, 278, 264, 593, 708, 27219, 281, 4729, 5758, 267, 5348, 18462, 267, 543, 811, 563, 23087, 540, 4387, 3655, 755, 639, 454, 18794, 8797, 28755, 1188, 4585, 519, 1412, 16435, 5922, 5264, 19317, 262, 12558, 1934, 1205, 519, 555, 1872, 4967, 1433, 5291, 563, 268, 16362, 3655, 755, 639, 568, 513, 24141, 3209, 2854, 676, 28114, 812, 333, 267, 13175, 538, 476, 3707, 274, 543, 3370, 538, 476, 3707, 278, 607, 546, 758, 30004, 3655, 755, 639, 281, 546, 553, 682, 17754, 964, 632, 583, 2675, 1156, 9748, 28856, 619, 740, 6929, 11573, 330, 6686, 18255, 563, 268, 8834, 4280, 803, 547, 798, 513, 476, 1321, 6429, 5758, 270, 27675, 18462, 585, 519, 5159, 585, 938, 1397, 1247, 1775, 1705, 711, 798, 513, 5348, 18462, 585, 3817, 476, 736, 268, 1839, 267, 1775, 723, 519, 1964, 540, 519, 1397, 24298, 563, 268, 3848, 5758, 585, 13171, 9372, 2261, 869, 324, 781, 4387, 3655, 755, 639, 267, 957, 476, 276, 6429, 476, 272, 5758, 1265, 513, 5758, 540, 713, 543, 1142, 3184, 540, 4387, 3655, 755, 639, 563, 268, 8056, 2664, 2299, 4647, 519, 4387, 3655, 755, 639, 5758, 267, 3184, 8386, 7302, 1986, 2079, 267, 1433, 4967, 267, 3594, 267, 10530, 267, 1915, 11673, 267, 3992, 4566, 267, 543, 811, 910, 3388, 563, 268, 634, 1788, 8937, 28086, 19545, 540, 519, 911, 326, 673, 1686, 540, 1743, 3655, 755, 639, 267, 676, 13171, 6016, 2261, 869, 324, 713, 19545, 568, 585, 519, 946, 540, 4896, 9170, 693, 1100, 1942, 543, 609, 3592, 1100, 563, 8340, 782, 2139, 1353, 10274, 543, 24096, 585, 4387, 3655, 755, 639, 676, 28114, 812, 333, 952, 972, 568, 513, 8141, 17084, 267, 695, 15879, 641, 267, 610, 29384, 4967, 3391, 267, 649, 786, 723, 621, 7396, 1934, 269, 18332, 2261, 869, 324, 4387, 3655, 755, 639, 13171, 9372, 2261, 869, 324, 910, 4387, 3655, 755, 639, 957, 476, 272, 7139, 4084, 4843, 676, 513, 669, 11501, 267, 519, 7139, 4084, 269, 3220, 3655, 755, 639, 1353, 3391, 3568, 513, 12092, 540, 13171, 9372, 2261, 869, 324, 267, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 269, 0, 1432, 568, 12525, 286, 4208, 12525, 25198, 888, 6524, 649, 798, 1945, 593, 3454, 267, 649, 1058, 917, 1018, 568, 3454, 286, 4208, 519, 3454, 6927, 286, 24511, 267, 3454, 568, 513, 25471, 9295, 547, 1533, 8907, 26550, 1221, 676, 519, 2229, 269, 3776, 2229, 2356, 3096, 9204, 547, 1628, 1857, 6703, 543, 1102, 2858, 23461, 971, 607, 3506, 267, 10506, 267, 19814, 543, 29032, 267, 799, 1683, 13418, 547, 782, 540, 721, 269, 12525, 525, 2356, 666, 581, 5258, 883, 6688, 899, 4747, 3454, 267, 9042, 3454, 267, 10697, 3454, 267, 543, 1866, 563, 7336, 2610, 540, 519, 1761, 2188, 540, 3454, 454, 2171, 2445, 5216, 2188, 5732, 1644, 519, 22883, 6053, 543, 9389, 958, 9867, 3454, 538, 5245, 912, 268, 10871, 2551, 454, 268, 10003, 5860, 270, 4155, 10333, 454, 268, 7089, 540, 2282, 10506, 454, 268, 5890, 1619, 585, 2564, 682, 11803, 454, 268, 5890, 1619, 585, 13344, 610, 23190, 454, 268, 8899, 13867, 2551, 454, 268, 4400, 13867, 2551, 454, 26452, 1930, 1239, 689, 5245, 6554, 616, 8246, 585, 519, 2520, 990, 529, 592, 5314, 540, 891, 5216, 4632, 563, 763, 3347, 1063, 3454, 543, 891, 8739, 20300, 1761, 2188, 616, 8268, 689, 1079, 3344, 912, 268, 4256, 9757, 3347, 616, 8268, 609, 1875, 268, 12407, 13011, 3631, 563, 268, 4256, 2520, 2214, 7652, 2199, 5222, 616, 4330, 1210, 32321, 22051, 9695, 630, 294, 29949, 1040, 6969, 28047, 305, 2861, 12605, 267, 4632, 616, 5697, 1210, 1900, 30150, 5276, 9695, 563, 24868, 539, 2520, 2214, 7652, 2199, 5222, 540, 4632, 593, 3454, 454, 268, 15510, 4249, 811, 5107, 538, 519, 3454, 538, 519, 7262, 543, 3844, 8241, 4525, 563, 268, 10003, 5860, 610, 4155, 10333, 568, 1271, 585, 782, 8241, 4525, 4849, 585, 7532, 1606, 4822, 3148, 563, 268, 634, 7418, 540, 10506, 616, 2147, 609, 4155, 563, 268, 634, 9295, 540, 4747, 568, 811, 1271, 538, 3844, 4525, 982, 824, 4525, 563, 303, 9438, 539, 3892, 540, 3454, 538, 476, 10711, 271, 2066, 5245, 454, 763, 2520, 2214, 7652, 3892, 540, 3454, 538, 476, 10711, 271, 568, 10567, 1210, 32321, 22051, 9695, 2203, 269, 11778, 1397, 602, 519, 3454, 786, 581, 3648, 2799, 538, 7262, 4525, 267, 543, 621, 849, 786, 581, 2799, 538, 9456, 4525, 269, 0, 1789, 628, 9335, 13749, 454, 1789, 628, 9335, 13749, 568, 606, 954, 7116, 531, 18302, 6728, 538, 15740, 267, 12425, 269, 898, 568, 15740, 781, 1292, 16456, 6728, 267, 543, 568, 513, 2101, 3247, 593, 2549, 10177, 330, 781, 29036, 543, 6206, 7723, 23725, 832, 269, 898, 29156, 607, 513, 2101, 862, 17458, 7841, 6728, 282, 621, 568, 6039, 676, 782, 590, 21750, 12425, 18815, 16958, 630, 306, 7968, 14011, 264, 13636, 12565, 3515, 267, 543, 568, 519, 7262, 2165, 19434, 585, 1715, 14948, 3690, 527, 781, 9533, 4975, 7412, 269, 898, 568, 849, 6039, 676, 1896, 590, 7968, 14011, 2749, 543, 28180, 21772, 267, 607, 1134, 607, 21772, 13234, 676, 27359, 3690, 527, 543, 17685, 640, 12427, 563, 268, 476, 272, 13517, 454, 268, 476, 273, 3778, 454, 268, 476, 274, 10558, 1554, 454, 268, 476, 275, 13749, 6703, 454, 268, 476, 276, 20155, 454, 268, 476, 277, 769, 2442, 2528, 454, 268, 476, 278, 22108, 454, 268, 476, 279, 24498, 6402, 454, 763, 6728, 568, 4092, 693, 476, 27768, 276, 10369, 9335, 269, 898, 568, 4092, 538, 15740, 781, 2160, 4975, 8378, 267, 1175, 2066, 519, 5576, 340, 2643, 26973, 5211, 689, 4741, 4975, 269, 634, 2679, 267, 799, 1101, 8118, 538, 476, 4350, 274, 267, 568, 7396, 593, 519, 2817, 19193, 540, 19866, 23089, 563, 1789, 628, 9335, 13749, 568, 2549, 10177, 330, 781, 3791, 1532, 639, 5006, 6728, 267, 543, 519, 1668, 5006, 540, 519, 476, 2190, 10473, 6039, 538, 12425, 267, 7674, 476, 275, 267, 30329, 267, 5780, 273, 15915, 538, 16642, 1032, 476, 1001, 278, 269, 2201, 606, 3328, 1554, 538, 16642, 476, 1001, 274, 267, 827, 476, 1321, 267, 1822, 1004, 4604, 539, 610, 2451, 14884, 538, 15740, 267, 5176, 7466, 607, 1082, 607, 538, 519, 1964, 540, 519, 12425, 10473, 5916, 563, 763, 12425, 21805, 630, 11266, 305, 1070, 799, 729, 2212, 32483, 1229, 538, 15740, 267, 9715, 15993, 2924, 689, 519, 5576, 340, 2643, 26973, 5211, 547, 476, 1428, 628, 9335, 689, 519, 2749, 540, 15740, 538, 2132, 585, 2244, 602, 519, 2749, 2877, 547, 4020, 519, 18148, 15284, 5244, 3118, 269, 901, 4847, 519, 2754, 547, 1628, 1312, 4427, 18076, 13749, 543, 519, 476, 1789, 628, 9335, 13749, 267, 799, 8719, 16340, 9335, 6728, 607, 519, 8545, 729, 1932, 1507, 269, 16340, 853, 269, 13749, 729, 513, 20839, 15134, 12363, 538, 4741, 4975, 543, 998, 14884, 1185, 547, 1394, 538, 543, 856, 267, 543, 519, 2754, 4941, 513, 4087, 799, 1131, 13918, 14884, 1063, 1715, 3840, 4975, 543, 6115, 269, 667, 5861, 269, 16340, 853, 269, 6728, 849, 17411, 513, 1804, 862, 17458, 5106, 267, 799, 519, 1007, 11895, 4427, 18076, 13749, 729, 3710, 547, 6023, 269, 630, 10303, 540, 519, 12870, 543, 2622, 2782, 4083, 267, 16340, 853, 269, 6728, 4769, 1405, 2673, 2394, 476, 4198, 273, 8094, 763, 9628, 11265, 6109, 540, 24023, 267, 18722, 267, 11525, 560, 543, 6519, 267, 519, 24288, 547, 667, 13034, 269, 22210, 5069, 1299, 7577, 267, 2966, 519, 2497, 267, 8385, 1634, 607, 12425, 13749, 1700, 1789, 628, 9335, 538, 11063, 609, 519, 20803, 2511, 540, 824, 12425, 853, 725, 269, 4706, 1374, 729, 6766, 676, 519, 29036, 4856, 5090, 528, 18546, 2305, 602, 4847, 14884, 547, 1780, 9944, 519, 6728, 1510, 20392, 15915, 547, 865, 582, 607, 9252, 9817, 540, 4505, 2053, 1185, 269, 634, 6728, 1185, 513, 1297, 540, 5499, 2934, 267, 1519, 513, 533, 928, 9964, 8546, 1062, 267, 606, 5907, 954, 1260, 267, 543, 513, 18674, 8122, 609, 2230, 585, 1507, 8484, 547, 2244, 267, 543, 8659, 513, 6180, 4231, 267, 513, 32724, 543, 811, 982, 476, 274, 267, 1822, 4009, 3952, 540, 6413, 2230, 563, 17746, 2315, 3459, 538, 476, 4572, 278, 543, 519, 6728, 8118, 538, 476, 4350, 274, 267, 4358, 609, 1079, 3760, 13475, 269, 634, 5318, 7996, 4055, 568, 5185, 609, 911, 3200, 710, 543, 519, 30756, 1229, 18109, 568, 13556, 4154, 267, 2699, 543, 8645, 269, 634, 2679, 781, 16538, 814, 897, 636, 2740, 2823, 324, 2275, 665, 12742, 593, 519, 7178, 543, 7532, 1795, 1228, 267, 543, 2982, 513, 3666, 1063, 8106, 543, 2413, 11265, 6163, 563, 13051, 15284, 13749, 454, 1103, 476, 1220, 276, 267, 15740, 2861, 623, 1168, 4077, 3386, 11565, 4280, 2549, 10177, 330, 547, 1689, 519, 2012, 540, 476, 1789, 628, 9335, 13749, 547, 834, 13051, 15284, 13749, 257, 607, 851, 540, 519, 11812, 540, 5484, 15284, 781, 476, 4968, 628, 14512, 538, 5130, 476, 1220, 277, 269, 634, 1942, 540, 13868, 4191, 693, 519, 6728, 729, 6059, 693, 1269, 274, 2929, 563, 1103, 5130, 267, 15740, 26302, 3627, 9335, 28520, 1010, 1489, 3297, 519, 2012, 1689, 267, 855, 1866, 1185, 6404, 6547, 547, 519, 11556, 269, 12425, 17135, 3798, 681, 754, 749, 267, 513, 5449, 25650, 540, 15740, 267, 729, 561, 8123, 342, 1301, 267, 1247, 2549, 10177, 330, 8387, 14126, 602, 513, 834, 13051, 257, 6728, 1223, 581, 11821, 609, 922, 824, 1614, 834, 303, 3317, 257, 10473, 269, 2201, 5130, 476, 1839, 267, 476, 1220, 277, 267, 623, 1168, 14460, 519, 5859, 267, 4758, 1100, 2601, 563, 1103, 4864, 476, 1001, 275, 267, 513, 5313, 1876, 729, 5293, 602, 786, 1689, 519, 2012, 540, 519, 6728, 547, 5261, 670, 269, 22630, 8633, 476, 1789, 628, 9335, 13749, 538, 8956, 540, 519, 3735, 18322, 2006, 269, 2311, 519, 942, 267, 519, 1689, 729, 16516, 547, 2049, 834, 514, 519, 1985, 1906, 3275, 8487, 763, 2679, 568, 11262, 676, 2549, 10177, 330, 543, 8075, 1082, 2549, 10177, 330, 9746, 13646, 267, 4352, 2549, 10177, 330, 568, 13166, 2212, 32483, 1229, 693, 5742, 13749, 538, 6115, 267, 667, 5861, 269, 634, 476, 6321, 273, 267, 1822, 10264, 11054, 630, 7367, 267, 1822, 544, 11054, 264, 9744, 2934, 513, 1309, 591, 333, 748, 1292, 18213, 6677, 6847, 609, 15022, 622, 3203, 1546, 1723, 7718, 563, 23220, 514, 1836, 10268, 568, 519, 12425, 21805, 2622, 2782, 4083, 17341, 267, 799, 26549, 12425, 21805, 5520, 7166, 538, 2622, 2782, 4083, 269, 898, 5161, 540, 513, 19730, 18533, 540, 519, 2895, 13370, 7812, 17666, 519, 1560, 540, 513, 4666, 17199, 856, 540, 519, 26428, 540, 2112, 267, 543, 729, 9380, 539, 676, 21701, 670, 4545, 1442, 538, 476, 4198, 271, 269, 2201, 519, 2185, 5011, 540, 519, 3490, 540, 602, 17001, 616, 519, 476, 272, 267, 28906, 4408, 540, 1346, 5520, 538, 9904, 673, 1931, 563, 763, 2679, 729, 17468, 538, 476, 1960, 272, 676, 8355, 8834, 918, 641, 921, 1299, 4889, 919, 269, 1879, 519, 6728, 729, 22058, 730, 267, 8242, 10685, 29319, 941, 3773, 269, 1358, 1331, 1896, 15945, 267, 513, 1804, 1426, 5480, 267, 1286, 23934, 6703, 267, 29017, 321, 903, 24334, 267, 667, 6064, 514, 262, 5213, 7491, 267, 543, 1866, 563, 763, 2549, 10177, 330, 476, 1789, 628, 9335, 5244, 532, 12275, 720, 729, 2966, 676, 19154, 307, 11629, 338, 543, 6192, 538, 476, 1220, 275, 269, 901, 8370, 7400, 267, 5595, 927, 1460, 25880, 2488, 476, 273, 267, 1911, 18736, 5624, 543, 4837, 10276, 743, 2216, 25047, 13486, 543, 30981, 547, 2709, 5784, 540, 15740, 269, 634, 1739, 1032, 630, 1220, 276, 264, 519, 5246, 9335, 16677, 652, 6929, 15167, 729, 6192, 543, 2966 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4754, 596, 5225, 948, 803, 4855, 519, 1858, 540, 606, 31164, 6906, 630, 10585, 476, 274, 3766, 517, 264, 609, 519, 2016, 6482, 269, 286, 476, 277, 20878, 8953, 589, 815, 13483, 269, 538, 269, 888, 2171, 1122, 344, 281, 2052, 596, 24963, 2347, 519, 3877, 585, 707, 2243, 5225, 269, 14871, 281, 1018, 568, 585, 31164, 6906, 630, 10585, 476, 274, 3766, 517, 264, 609, 519, 2016, 6482, 269, 476, 277, 20878, 8953, 589, 815, 13483, 269, 538, 269, 286, 630, 5415, 994, 9223, 454, 280, 20878, 15943, 875, 1082, 786, 621, 581, 589, 815, 13483, 269, 538, 269, 888, 2171, 1122, 344, 281, 1018, 568, 519, 20372, 781, 3337, 286, 630, 5415, 994, 9223, 454, 263, 10585, 476, 274, 3766, 517, 994, 2171, 1122, 344, 281, 634, 2834, 476, 274, 3766, 517, 267, 1634, 607, 519, 31164, 6906, 267, 729, 9112, 538, 594, 269, 272, 267, 1247, 519, 2834, 476, 275, 3766, 517, 267, 1634, 607, 519, 4009, 267, 729, 9112, 538, 594, 269, 5379, 269, 769, 1433, 10001, 267, 2834, 476, 276, 3766, 976, 543, 2834, 476, 277, 3766, 976, 723, 1044, 9112, 269, 1496, 1323, 3498, 540, 8633, 269, 1789, 630, 6518, 729, 1031, 538, 713, 20790, 264, 666, 5595, 519, 1297, 540, 5011, 540, 513, 2834, 20372, 267, 543, 4061, 2834, 29977, 609, 476, 279, 267, 476, 1015, 267, 476, 1321, 267, 476, 1626, 267, 476, 736, 267, 476, 2190, 267, 3092, 1421, 5011, 666, 581, 9112, 269, 901, 20790, 2982, 875, 547, 946, 513, 2834, 544, 3766, 517, 543, 513, 2834, 562, 3766, 517, 547, 3132, 513, 2834, 544, 333, 3766, 517, 267, 3177, 602, 544, 543, 562, 616, 5266, 6305, 2338, 269, 2334, 3812, 513, 476, 1428, 3766, 517, 267, 543, 689, 602, 649, 666, 3132, 2834, 29977, 609, 476, 1789, 267, 476, 2568, 267, 476, 6344, 267, 3092, 1421, 5011, 269, 4935, 267, 513, 2834, 562, 3766, 517, 666, 581, 9112, 952, 519, 1152, 6305, 2338, 602, 7941, 562, 616, 476, 273, 267, 476, 274, 267, 543, 476, 276, 267, 1141, 476, 273, 666, 581, 513, 7368, 3815, 267, 855, 476, 274, 543, 476, 276, 616, 711, 7368, 269, 9948, 630, 5415, 994, 9223, 454, 28082, 22062, 725, 454, 288, 2520, 12510, 878, 1062, 568, 4429, 2171, 1122, 344, 281, 589, 2520, 12510, 878, 1062, 568, 3047, 19721, 269, 14871, 281, 769, 519, 2250, 267, 24666, 7422, 941, 606, 1271, 851, 540, 4429, 1723, 2075, 633, 454, 2171, 1122, 344, 281, 634, 3213, 2075, 633, 20450, 941, 5921, 547, 9258, 519, 7678, 540, 7810, 4187, 855, 2965, 1008, 12097, 2362, 2157, 540, 4429, 7617, 540, 519, 1739, 6898, 1281, 10691, 4766, 875, 12322, 666, 4429, 2171, 1122, 344, 281, 769, 1931, 547, 2744, 519, 5021, 2640, 689, 606, 3635, 1982, 267, 596, 1058, 1331, 1312, 9025, 2866, 4429, 763, 29063, 18338, 543, 519, 2462, 3983, 18896, 616, 1806, 540, 589, 269, 4429, 2171, 1122, 344, 281, 589, 269, 25674, 16992, 267, 3197, 596, 917, 543, 2648, 689, 14070, 2984, 269, 14871, 281, 1403, 606, 2278, 4941, 547, 4429, 1103, 1931, 547, 7413, 519, 7411, 2404, 609, 5870, 10865, 4429, 2171, 1122, 344, 281, 769, 1931, 547, 7413, 519, 7411, 2404, 609, 5870, 10865, 10211, 11033, 267, 519, 7963, 3028, 5223, 1058, 4429, 3963, 616, 14656, 3790, 513, 835, 942, 13927, 888, 2171, 1122, 344, 912, 1432, 568, 3057, 11047, 639, 286, 14871, 281, 1548, 568, 737, 342, 20076, 1251, 528, 888, 2171, 1122, 344, 281, 32765, 20076, 1251, 528, 568, 513, 6689, 2068, 602, 568, 3361, 676, 3940, 22975, 269, 14871, 281, 1548, 568, 11337, 2670, 286, 14871, 281, 4429, 7617, 540, 519, 1739, 568, 1634, 547, 2333, 606, 1367, 781, 8458, 4429, 2171, 1122, 344, 281, 12128, 568, 6353, 676, 23494, 1970, 1973, 4006, 2157, 269, 8786, 267, 713, 666, 581, 3020, 827, 3987, 269, 14871, 281, 4429, 2171, 1122, 344, 853, 4428, 454, 306, 454, 32622, 476, 278, 4097, 1496, 13707, 476, 278, 4097, 316, 13158, 902, 476, 1015, 22227, 476, 277, 1691, 769, 10903, 725, 476, 273, 5510, 1467, 454, 306, 454, 32622, 476, 278, 1428, 1496, 13707, 476, 278, 1428, 316, 13158, 902, 476, 1724, 22227, 476, 276, 5952, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 32622, 476, 5038, 277, 1496, 13707, 476, 5038, 277, 316, 13158, 902, 476, 271, 22227, 476, 5038, 277, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 272, 454, 299, 454, 299, 454, 303, 454, 305, 454, 303, 454, 299, 454, 303, 454, 303, 454, 305, 454, 32622, 476, 26482, 1496, 13707, 476, 10219, 7906, 316, 13158, 902, 476, 273, 22227, 476, 29344, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 303, 454, 303, 454, 303, 454, 32622, 476, 14917, 1496, 13707, 476, 30500, 274, 316, 13158, 902, 476, 271, 22227, 476, 14917, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 32622, 476, 4343, 1496, 13707, 476, 13040, 316, 13158, 902, 476, 271, 22227, 476, 4343, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 2190, 1496, 13707, 476, 30329, 277, 316, 13158, 902, 476, 271, 22227, 476, 2190, 769, 10903, 725, 476, 271, 6732, 454, 306, 454, 32622, 476, 1321, 1496, 13707, 476, 1321, 316, 13158, 902, 476, 272, 22227, 476, 273, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 32622, 476, 1015, 1496, 13707, 476, 1015, 316, 13158, 902, 476, 272, 22227, 476, 271, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 32622, 476, 275, 1496, 13707, 476, 275, 316, 13158, 902, 476, 271, 22227, 476, 275, 769, 10903, 725, 476, 271, 5510, 1467, 454, 265, 1401, 11079, 15645, 2209, 543, 3105, 454, 7773, 2996, 630, 25147, 994, 12709, 1923, 13555, 1923, 18248, 1923, 6168, 1923, 16301, 1923, 21041, 1923, 9736, 31947, 5549, 269, 0, 427, 375, 379, 692, 2162, 4569, 27027, 692, 3041, 6630, 4569, 27027, 585, 782, 12948, 18161, 267, 290, 2401, 330, 267, 29368, 4916, 18161, 267, 305, 841, 3118, 267, 7704, 290, 267, 296, 3008, 267, 302, 3008, 1401, 4461, 692, 28095, 11277, 9202, 692, 7462, 634, 10627, 1154, 3328, 540, 476, 1789, 7961, 902, 540, 513, 524, 4459, 2678, 568, 476, 2412, 8255, 269, 3571, 5207, 6060, 20489, 1010, 9803, 6060, 676, 476, 1911, 8255, 28560, 891, 1079, 7961, 902, 616, 711, 3769, 267, 519, 3328, 540, 519, 6967, 476, 2764, 7961, 902, 568, 476, 4343, 269, 1548, 568, 519, 9803, 6060, 540, 519, 6345, 15017, 476, 272, 264, 476, 1321, 476, 273, 264, 476, 1626, 476, 274, 264, 476, 1240, 476, 275, 264, 476, 736, 476, 276, 264, 7183, 540, 891, 454, 15008, 2433, 2913, 267, 519, 5207, 543, 9803, 6060, 1109, 616, 1535, 543, 586, 6606, 563, 3383, 267, 1535, 1341, 586, 815, 630, 2412, 2473, 476, 1789, 3738, 910, 630, 2764, 2473, 476, 4343, 264, 815, 476, 15793, 1109, 28612, 630, 328, 994, 11693, 267, 1535, 3917, 815, 476, 1911, 1109, 28612, 630, 4512, 994, 11693, 267, 1535, 3917, 815, 476, 1911, 454, 3528, 6061, 267, 519, 1657, 3830, 1109, 649, 1205, 267, 1535, 284, 476, 14093, 543, 1535, 815, 476, 1240, 454, 7462, 634, 3328, 14057, 540, 476, 1626, 5520, 538, 513, 2754, 568, 12652, 269, 8517, 829, 3923, 269, 1403, 519, 9614, 779, 14057, 568, 3773, 267, 519, 3328, 14057, 2333, 676, 12652, 269, 2004, 269, 1548, 568, 519, 14057, 540, 519, 9614, 15017, 476, 272, 264, 12652, 269, 13679, 271, 476, 273, 264, 12652, 269, 1220, 271, 476, 274, 264, 12652, 269, 13301, 271, 476, 275, 264, 12652, 269, 12573, 271, 476, 276, 264, 7183, 540, 891, 454, 15008, 10778, 14112, 24408, 6396, 10778, 263, 29806, 23848, 476, 1109, 311, 9214, 1162, 10025, 264, 1341, 4505, 3328, 454, 328, 4318, 269, 630, 476, 1704, 2473, 476, 2004, 264, 1341, 476, 8517, 815, 12652, 269, 476, 13679, 271, 454, 7462, 634, 3328, 2085, 540, 476, 2004, 1053, 540, 513, 1362, 568, 476, 1626, 1296, 269, 1879, 476, 1015, 1007, 1053, 616, 15861, 267, 1287, 519, 3328, 2085, 2799, 676, 476, 271, 269, 276, 1296, 269, 1548, 568, 519, 3328, 2085, 540, 519, 1007, 1053, 15017, 476, 272, 264, 476, 1704, 1296, 476, 273, 264, 476, 1240, 1296, 476, 274, 264, 476, 866, 1296, 476, 275, 264, 476, 736, 1296, 476, 276, 264, 7183, 540, 891, 454, 15008, 2433, 634, 2698, 2085, 540, 476, 2004, 1053, 815, 476, 2004, 2473, 476, 1626, 815, 476, 8517, 586, 3464, 563, 5475, 15861, 476, 1015, 1007, 1053, 2073, 20135, 2085, 1831, 476, 2568, 2473, 476, 1626, 269, 276, 815, 476, 31275, 586, 3464, 563, 3383, 267, 2085, 540, 1007, 1053, 815, 476, 31275, 910, 8517, 815, 476, 5002, 586, 3464, 563, 13295, 267, 741, 3328, 476, 5002, 1315, 1015, 815, 476, 866, 586, 3464, 563, 7462, 634, 3328, 18820, 540, 513, 812, 585, 519, 1101, 2947, 3923, 540, 513, 1032, 568, 12652, 269, 276, 267, 1822, 543, 585, 519, 1985, 5722, 268, 3923, 568, 12652, 268, 276, 267, 6110, 269, 1261, 17990, 12652, 269, 273, 267, 4968, 1282, 519, 1032, 269, 1548, 1010, 3328, 10865, 4747, 15017, 476, 272, 264, 12652, 269, 276, 267, 28883, 476, 273, 264, 12652, 269, 276, 267, 4335, 476, 274, 264, 12652, 269, 276, 267, 4510, 277, 476, 275, 264, 12652, 269, 276, 267, 7785, 476, 276, 264, 7183, 540, 891, 454, 15008, 10778, 13707, 18820, 568, 815, 630, 20862, 876, 1341, 476, 4037, 275, 876, 264, 815, 476, 277, 2764, 876, 454, 14367, 9494, 568, 12652, 269, 476, 15996, 271, 454, 13707, 5993, 4747, 815, 476, 277, 2764, 876, 1341, 476, 15996, 271, 815, 476, 4792, 272, 876, 454, 12507, 628, 569, 4747, 815, 476, 4792, 272, 876, 21680, 476, 1321, 815, 12652, 269, 476, 276, 5655, 276, 454, 7462, 1703, 616, 930, 2937, 1053, 538, 513, 1362, 543, 741, 3328, 2085, 729, 476, 2412, 1296, 269, 1403, 476, 1321, 1007, 1053, 609, 606, 3328, 2085, 540, 476, 2004, 1296, 6443, 609, 873, 267, 741, 1007, 3328, 2085, 786, 581, 4679, 676, 476, 276, 1296, 23130, 729, 519, 3312, 4222, 540, 602, 1362, 15017, 476, 272, 264, 476, 279, 476, 273, 264, 476, 1015, 476, 274, 264, 476, 1321, 476, 275, 264, 476, 1428, 476, 276, 264, 7183, 540, 891, 454, 15008, 2433, 2913, 267, 972, 941, 1535, 1297, 540, 1053, 538, 519, 1362, 563, 11693, 602, 741, 3328, 2085, 729, 476, 2412, 586, 3464, 563, 3383, 267, 741, 2698, 2085, 729, 815, 476, 2412, 343, 586, 3464, 454, 3086, 267, 476, 1321, 1007, 1053, 6443, 609, 873, 609, 606, 3328, 2085, 540, 476, 2004, 586, 3464, 563, 10190, 267, 2698, 2085, 729, 815, 630, 1321, 1535, 476, 2004, 264, 815, 476, 7785, 586, 3464, 269, 543, 2698, 1053, 941, 1535, 266, 1321, 563, 3086, 267, 1007, 2698, 2085, 729, 815, 630, 275, 343, 1341, 476, 7785, 3738, 586, 3464, 563, 3383, 267, 630, 2412, 343, 1341, 476, 7785, 3738, 1315, 630, 343, 266, 1321, 264, 815, 476, 3393, 454, 528, 476, 3393, 343, 1341, 476, 25851, 815, 476, 2412, 343, 1341, 476, 7785, 454, 528, 476, 276, 343, 815, 476, 7785, 910, 25851, 815, 476, 2568, 454, 528, 1535, 815, 476, 2568, 270, 276, 815, 476, 1321, 454, 13295, 267, 3312, 4222, 540, 602, 1362, 729, 476, 1321, 563, 7462, 634, 3328, 2085, 540, 513, 1362, 540, 476, 1789, 1053, 568, 476, 1321, 269, 1403, 519, 4116, 568, 849, 3769, 519, 3328, 3587, 476, 1724, 1296, 269, 4855, 519, 4116, 781, 2085, 563, 476, 272, 264, 476, 4375, 1296, 476, 273, 264, 476, 2412, 1296, 476, 274, 264, 476, 4510, 1296, 476, 275, 264, 4578, 769, 1228, 12930, 476, 276, 264, 7183, 540, 891, 454, 15008, 10778, 2691, 519, 4116, 568, 3769, 972, 616, 11207, 476, 4029, 2818, 538, 519, 1362, 543, 519, 3328, 568, 2799, 676, 476, 272, 1032, 269, 901, 1797, 602, 3025, 3893, 476, 272, 3063, 1032, 1310, 26084, 519, 3063, 1296, 540, 519, 4116, 563, 3383, 267, 3063, 1296, 540, 519, 4116, 616, 607, 1246, 281, 476, 4029, 12728, 1765, 272, 284, 4029, 1296, 563, 21848, 540, 519, 4116, 815, 4890, 1285, 326, 1341, 3063, 1296, 815, 476, 1321, 1341, 476, 4029, 815, 476, 6246, 1296, 454, 21848, 540, 519, 4116, 815, 630, 1839, 1535, 476, 1428, 910, 476, 2190, 1535, 476, 1691, 264, 815, 476, 4375, 1296, 780, 7462, 1703, 941, 476, 3374, 1053, 538, 513, 3984, 601, 269, 1403, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1405, 798, 1134, 952, 789, 3819, 856, 269, 1358, 666, 16641, 513, 16854, 2039, 540, 5210, 269, 1160, 28648, 5328, 2281, 616, 3335, 1360, 1507, 267, 609, 741, 5603, 4394, 6027, 538, 8020, 6425, 269, 8307, 519, 4102, 666, 581, 2938, 1510, 519, 5351, 540, 513, 17209, 269, 0, 3528, 519, 1439, 540, 476, 1001, 276, 267, 519, 12176, 540, 519, 24954, 3644, 1185, 10645, 476, 1556, 267, 25628, 2729, 2066, 8644, 4997, 267, 19892, 267, 23683, 2274, 821, 267, 13280, 267, 519, 2475, 267, 543, 5689, 328, 269, 15332, 519, 2123, 32333, 543, 519, 10969, 566, 540, 2950, 3361, 676, 519, 12176, 267, 24192, 616, 12719, 519, 9962, 2804, 3500, 6658, 602, 4299, 519, 2898, 3148, 563, 8170, 519, 476, 1626, 2477, 538, 4639, 4000, 267, 1152, 2947, 941, 2047, 4299, 676, 519, 24954, 3644, 269, 11048, 267, 12194, 540, 519, 3644, 10825, 8507, 538, 3441, 547, 519, 24756, 543, 3560, 9922, 267, 607, 5375, 2923, 14578, 5219, 547, 519, 24954, 15435, 607, 513, 968, 26156, 3979, 2108, 12176, 269, 8729, 547, 29071, 1369, 519, 9483, 7991, 540, 4639, 3979, 2276, 630, 4488, 8582, 3008, 1070, 972, 568, 7361, 1863, 543, 796, 574, 6244, 539, 3350, 540, 1004, 543, 5370, 2066, 519, 24338, 10665, 538, 519, 1016, 15696, 542, 563, 10214, 1354, 519, 3644, 6603, 13280, 267, 519, 552, 19645, 2872, 729, 8989, 6825, 2208, 269, 21824, 540, 32296, 519, 3644, 998, 1480, 3346, 5921, 602, 1346, 14221, 827, 11544, 609, 1804, 2516, 540, 1004, 538, 2706, 5658, 1115, 3366, 547, 513, 2208, 538, 2228, 16306, 269, 4653, 267, 930, 8044, 602, 835, 540, 519, 811, 8966, 4128, 585, 519, 1967, 540, 30645, 552, 19645, 729, 519, 1455, 4250, 540, 24931, 24954, 563, 2026, 519, 15435, 3262, 267, 4639, 3979, 2477, 602, 3984, 1713, 2338, 540, 1163, 27074, 622, 4600, 538, 2565, 9922, 540, 519, 4346, 14754, 513, 2527, 3350, 540, 30707, 1394, 547, 741, 1753, 2477, 267, 609, 1082, 1163, 1846, 693, 2547, 1528, 532, 547, 6494, 741, 1453, 547, 741, 4182, 540, 5169, 269, 634, 4617, 3782, 5989, 540, 1034, 2477, 538, 519, 3148, 1705, 711, 8300, 1390, 2614, 6015, 1851, 519, 1163, 27074, 622, 2551, 547, 2611, 267, 609, 930, 2518, 3549, 17355, 15070, 1875, 268, 24207, 4914, 10986, 607, 513, 2339, 540, 3609, 585, 519, 2898, 3148, 563, 294, 327, 3570, 1185, 1044, 10294, 24954, 1863, 267, 2943, 621, 1869, 14754, 1163, 27074, 919, 6028, 543, 513, 3500, 6658, 538, 9235, 269, 12182, 1564, 543, 10554, 31508, 1336, 602, 3486, 19014, 16516, 547, 1491, 1747, 538, 519, 2197, 1185, 547, 581, 27185, 19861, 896, 519, 19168, 1014, 2229, 779, 1463, 633, 602, 1100, 3486, 11018, 1491, 1747, 538, 519, 2197, 585, 519, 1614, 3275, 3056, 909, 547, 5412, 476, 1001, 275, 269, 634, 24756, 2872, 729, 5734, 2182, 267, 607, 15678, 4055, 5003, 3599, 3928, 8593, 689, 476, 3583, 260, 547, 476, 2004, 10065, 19846, 660, 661, 321, 345, 656, 540, 519, 918, 11391, 1231, 7288, 23392, 7150, 267, 968, 763, 1870, 19773, 1631, 5654, 513, 2603, 1732, 982, 621, 1705, 538, 476, 1001, 275, 1282, 519, 24954, 12176, 267, 799, 4299, 1870, 11874, 31422, 454, 8138, 6062, 6452, 611, 6045, 968, 2171, 1496, 294, 327, 3570, 316, 1185, 3983, 9939, 609, 519, 24954, 12176, 267, 543, 19890, 594, 16620, 519, 2923, 585, 602, 1317, 1082, 1004, 941, 19225, 2989, 2476, 689, 24954, 6954, 19168, 267, 607, 519, 3377, 1224, 2048, 26156, 4000, 9957, 2108, 454, 763, 2229, 729, 14942, 543, 2322, 538, 1747, 513, 2039, 540, 6127, 547, 2327, 602, 621, 17477, 922, 24954, 1863, 4567, 267, 22867, 1269, 273, 269, 1240, 2929, 630, 294, 18449, 278, 2929, 264, 547, 4339, 519, 14686, 3644, 269, 6736, 713, 267, 950, 519, 6167, 15527, 676, 4259, 909, 519, 1101, 268, 1197, 6167, 5692, 585, 513, 1857, 1072, 6595, 267, 6167, 10933, 2207, 267, 6452, 571, 8067, 1229, 547, 3984, 519, 5692, 269, 634, 3119, 4305, 540, 519, 1007, 8116, 729, 547, 11282, 519, 6167, 5692, 779, 5318, 2200, 547, 8396, 519, 15435, 896, 519, 2930, 5718, 540, 519, 14959, 563, 763, 3375, 3361, 513, 1390, 2179, 540, 11552, 848, 267, 855, 3366, 547, 513, 2631, 540, 17604, 1851, 519, 3148, 267, 609, 5518, 10067, 4821, 5128, 9683, 8644, 4997, 267, 23683, 2274, 821, 267, 543, 19892, 547, 2285, 873, 519, 27907, 5818, 15029, 9306, 930, 8323, 3688, 547, 891, 2477, 563, 292, 19096, 12194, 849, 8697, 519, 2702, 540, 19168, 2103, 547, 2951, 269, 26673, 20891, 13660, 623, 872, 345, 267, 13474, 15440, 540, 2506, 29521, 267, 6045, 875, 646, 1185, 2938, 2665, 540, 1471, 553, 2921, 3476, 547, 1184, 269, 968, 763, 19168, 1014, 1780, 1636, 729, 18604, 676, 519, 24954, 12176, 282, 1141, 621, 1131, 7363, 1491, 1614, 547, 2185, 2395, 585, 513, 31705, 547, 581, 4607, 267, 649, 4718, 1806, 540, 519, 1184, 2921, 476, 2641, 2395, 585, 1471, 553, 547, 581, 5950, 31422, 10738, 519, 3148, 267, 13280, 779, 4102, 6469, 543, 6237, 29617, 267, 589, 20891, 5794, 267, 666, 576, 1194, 19426, 547, 19892, 267, 8644, 4997, 267, 543, 23683, 2274, 821, 269, 589, 20891, 5794, 849, 11074, 19426, 547, 717, 25995, 543, 23759, 3019, 1739, 8473, 9993, 689, 1346, 2477, 269, 3509, 3549, 941, 9561, 8907, 1317, 540, 666, 576, 1194, 3232, 19426, 8220, 19168, 609, 6154, 564, 1144, 543, 519, 8220, 19426, 547, 3933, 549, 16129, 543, 14465, 329, 592, 269, 769, 606, 12600, 5967, 609, 19505, 312, 267, 16628, 540, 13642, 26054, 7767, 906, 590, 1481, 5548, 548, 5941, 875, 646, 2808, 1010, 2754, 18822, 538, 9319, 24954, 269, 13642, 26054, 1185, 4566, 547, 4228, 922, 3782, 19190, 883, 8644, 4997, 1354, 519, 12176, 267, 4566, 799, 1185, 547, 581, 2322, 593, 3180, 269, 6736, 519, 5230, 543, 5571, 17167, 3144, 676, 24954, 267, 519, 6433, 2813, 606, 4316, 269, 13642, 26054, 7767, 906, 19443, 609, 606, 813, 1572, 968, 300, 10890, 267, 2108, 799, 729, 1883, 538, 4543, 2270, 519, 3644, 269, 13280, 11124, 1175, 5216, 7972, 1813, 547, 519, 3644, 267, 513, 1507, 4137, 3379, 547, 476, 275, 267, 3199, 280, 538, 8644, 4997, 269, 30645, 1072, 8387, 14487, 519, 1967, 538, 5627, 519, 3644, 547, 519, 3728, 2792, 543, 8216, 9477, 1500, 2009, 676, 519, 946, 540, 5985, 6049, 2029, 269, 4340, 547, 519, 24954, 17073, 20491, 10418, 538, 20698, 657, 267, 2564, 10492, 1210, 519, 631, 10890, 813, 4389, 519, 8989, 942, 540, 2665, 540, 519, 3644, 689, 476, 1321, 3108, 547, 3670, 3108, 563, 763, 2698, 1297, 540, 4080, 2665, 568, 6059, 693, 476, 2764, 267, 277, 4391, 269, 1809, 593, 5130, 476, 1724, 267, 476, 1001, 277, 267, 519, 2622, 2657, 9257, 10294, 519, 2063, 540, 519, 2477, 4299, 267, 8644, 4997, 267, 547, 581, 13166, 24954, 1863, 269, 634, 3790, 723, 2943, 547, 581, 2698, 539, 267, 855, 2687, 547, 519, 6167, 4886, 6828, 267, 4639, 4000, 607, 513, 2898, 1223, 6336, 606, 3328, 540, 693, 2547, 1269, 274, 269, 277, 5479, 829, 1032, 1063, 476, 1001, 275, 543, 476, 1001, 278, 1813, 547, 513, 6175, 538, 4123, 267, 14656, 540, 10665, 267, 8184, 23545, 725, 267, 4389, 674, 14888, 267, 543, 20158, 9235, 2534, 269, 0, 1015, 12292, 2334, 14970, 538, 9031, 910, 2622, 4263, 20393, 454, 1789, 270, 278, 270, 1001, 280, 6440, 32038, 531, 267, 849, 1634, 607, 715, 4768, 267, 568, 513, 23820, 268, 656, 601, 2100, 6805, 547, 519, 1164, 22615, 28569, 540, 9031, 267, 17230, 267, 13225, 27175, 267, 18310, 267, 543, 3127, 269, 634, 5256, 32038, 1023, 616, 3677, 982, 519, 521, 609, 741, 1560, 2597, 8151, 689, 476, 6507, 547, 476, 13679, 6550, 269, 4256, 5021, 1560, 7146, 268, 3650, 3259, 568, 476, 4792, 6279, 269, 634, 10878, 2720, 723, 513, 476, 278, 269, 280, 10759, 1279, 2766, 269, 0, 18933, 3424, 568, 513, 3728, 5752, 1893, 585, 9367, 269, 898, 7472, 1164, 7779, 3977, 585, 1585, 5867, 269, 898, 2636, 10912, 2199, 3252, 676, 2012, 2864, 982, 6724, 610, 4632, 563, 7072, 547, 27997, 454, 18933, 3424, 568, 513, 3532, 543, 16022, 5752, 1893, 585, 25515, 267, 5672, 5308, 267, 4585, 5308, 267, 543, 26725, 5308, 269, 898, 729, 2919, 676, 11197, 5549, 269, 543, 729, 5189, 538, 476, 1001, 275, 269, 27997, 568, 2966, 547, 581, 2653, 547, 1224, 543, 2328, 267, 543, 621, 568, 5497, 547, 581, 10930, 982, 20638, 4211, 267, 519, 1893, 621, 8719, 563, 2414, 1205, 3323, 609, 27997, 267, 596, 786, 991, 513, 5839, 609, 519, 5767, 4528, 540, 2473, 13892, 8704, 269, 2473, 13892, 568, 513, 1646, 1604, 602, 3568, 782, 540, 519, 2645, 596, 991, 547, 1711, 8924, 585, 11197, 5867, 269, 4495, 596, 723, 2473, 13892, 8704, 267, 596, 666, 1711, 513, 1007, 1788, 543, 1376, 1603, 27997, 3009, 563, 29619, 540, 27997, 5678, 17972, 454, 1103, 27997, 267, 596, 666, 946, 4632, 543, 21635, 547, 4558, 2418, 267, 17787, 547, 10956, 3009, 7161, 267, 543, 1852, 2095, 6898, 547, 14892, 3009, 1759, 593, 1978, 2175, 269, 27997, 849, 3091, 4359, 2934, 971, 607, 18593, 11006, 267, 7014, 15129, 5752, 267, 543, 1252, 923, 269, 634, 1893, 7028, 1585, 1239, 2010, 1519, 12673, 267, 2338, 267, 543, 10070, 267, 799, 666, 581, 14249, 267, 5036, 267, 610, 21594, 269, 5899, 902, 2099, 1257, 543, 666, 581, 26203, 1210, 2409, 267, 1247, 2338, 2099, 10230, 2418, 543, 666, 581, 9981, 267, 13735, 15304, 2418, 267, 610, 1950, 2338, 269, 26888, 4558, 2789, 2418, 538, 513, 2582, 4756, 563, 15371, 707, 2319, 568, 17808, 610, 2436, 596, 1616, 547, 2087, 707, 813, 454, 31141, 1184, 267, 649, 666, 948, 2336, 24445, 721, 281, 1341, 4029, 476, 25616, 476, 25320, 476, 26493, 454, 10387, 841, 721, 281, 18078, 17106, 11333, 3820, 0, 10059, 2517, 4178, 4732, 332, 327, 2593, 28898, 268, 3528, 8861, 7137, 787, 454, 4692, 649, 2490, 1394, 519, 9219, 540, 30333, 286, 12207, 616, 3843, 547, 5861, 13072, 281, 7476, 1399, 454, 268, 589, 1007, 1353, 2337, 547, 6961, 519, 3069, 602, 27981, 7497, 267, 711, 1175, 5027, 3441, 267, 11479, 30333, 563, 268, 9521, 5027, 3441, 267, 27981, 2045, 2242, 666, 5732, 581, 20328, 563, 268, 769, 519, 1007, 1957, 267, 3744, 941, 2111, 547, 13148, 2490, 1394, 519, 6211, 23234, 538, 2789, 8219, 267, 1519, 519, 4064, 267, 540, 8983, 563, 268, 901, 1826, 540, 6304, 6585, 9153, 607, 513, 6098, 3797, 585, 1978, 2085, 5829, 3676, 267, 855, 519, 1655, 1259, 547, 3251, 1762, 543, 2635, 568, 1434, 2732, 267, 3635, 267, 3207, 267, 4189, 1447, 543, 9319, 3141, 3441, 563, 1103, 519, 3406, 585, 18163, 6107, 267, 620, 17057, 1235, 267, 4012, 5974, 543, 3744, 723, 6836, 621, 782, 269, 3767, 513, 1007, 1353, 814, 1336, 602, 519, 2281, 538, 938, 4703, 666, 581, 6450, 2393, 539, 543, 519, 30333, 1184, 666, 5732, 581, 20328, 563, 2005, 729, 2899, 5156, 602, 30333, 729, 519, 1267, 540, 5027, 3441, 602, 649, 18645, 936, 938, 3076, 564, 1307, 267, 543, 602, 713, 3441, 568, 18965, 676, 7296, 267, 4598, 547, 5533, 267, 1932, 1454, 3141, 543, 4057, 2732, 563, 10190, 267, 538, 476, 3422, 273, 267, 513, 3703, 10196, 267, 3627, 717, 6324, 517, 1705, 513, 3126, 540, 6901, 609, 20883, 538, 799, 646, 3576, 856, 5027, 689, 513, 13855, 779, 4212, 543, 8719, 621, 609, 5027, 689, 513, 9921, 1591, 269, 1403, 519, 3069, 827, 30333, 543, 19017, 5027, 3441, 729, 3020, 267, 11093, 9921, 5027, 538, 606, 4212, 1131, 3132, 606, 2025, 13855, 269, 1809, 621, 4769, 1406, 269, 634, 8800, 540, 519, 9907, 1591, 4769, 1406, 2408, 547, 581, 519, 1966, 269, 634, 20883, 602, 11058, 3481, 941, 9985, 3339, 543, 2635, 563, 2005, 6700, 602, 972, 729, 1945, 13735, 1472, 3330, 519, 4212, 1591, 799, 1185, 519, 2702, 547, 1065, 5766, 1090, 602, 2025, 5027, 1107, 9337, 922, 3301, 1107, 543, 1118, 621, 1762, 1586, 563, 8993, 1005, 856, 1018, 602, 1945, 729, 1131, 1491, 1776, 476, 2004, 1296, 269, 769, 476, 1220, 277, 267, 5545, 11001, 1744, 4176, 320, 962, 16120, 10440, 4362, 519, 2185, 6090, 630, 5308, 298, 300, 264, 1107, 15217, 1634, 607, 962, 16120, 10440, 2188, 1107, 602, 1223, 2312, 519, 1793, 622, 540, 30333, 538, 513, 9921, 1591, 267, 13059, 621, 547, 922, 25782, 1533, 563, 7712, 1287, 267, 3173, 6836, 10941, 532, 519, 30333, 1184, 538, 2831, 3842, 1065, 5766, 1090, 2719, 519, 5444, 4082, 1107, 519, 1259, 6090 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 5400, 692, 6262, 264, 9717, 476, 28670, 6398, 476, 1911, 279, 692, 284, 476, 28670, 6398, 630, 1911, 271, 1341, 476, 279, 2020, 284, 476, 28670, 6398, 476, 1911, 271, 1341, 476, 28670, 6398, 476, 279, 630, 6748, 2733, 5737, 3959, 2020, 284, 476, 28670, 1822, 1341, 476, 18684, 275, 692, 284, 476, 18605, 271, 5038, 692, 5560, 264, 9717, 476, 1911, 276, 6398, 476, 12739, 692, 284, 630, 1911, 271, 1341, 476, 276, 264, 6398, 476, 12739, 692, 284, 476, 1911, 271, 6398, 476, 12739, 1341, 476, 276, 6398, 476, 12739, 630, 6748, 2733, 5737, 3959, 2020, 284, 476, 12739, 1822, 1341, 476, 279, 2412, 692, 284, 476, 12739, 279, 2412, 692, 276, 269, 589, 3454, 328, 9920, 4904, 1010, 1286, 4620, 1503, 7382, 609, 476, 2412, 20990, 540, 4620, 1503, 593, 11728, 269, 634, 1985, 1554, 267, 646, 4904, 519, 7382, 609, 476, 2004, 20990, 540, 4620, 1503, 269, 1403, 4620, 1503, 3790, 19238, 373, 476, 4510, 829, 2148, 267, 875, 1454, 1705, 646, 6108, 538, 782, 593, 4620, 1503, 2496, 22069, 1903, 1384, 30821, 1503, 7274, 4904, 593, 11728, 815, 476, 2412, 30184, 692, 30821, 1503, 7274, 4904, 593, 13638, 815, 476, 2004, 30184, 692, 13707, 4620, 1503, 7274, 4904, 815, 630, 2412, 1341, 476, 2004, 264, 1396, 516, 692, 21798, 540, 4620, 1503, 829, 1396, 516, 815, 19238, 373, 476, 4510, 692, 13707, 2724, 6170, 815, 476, 4510, 6398, 630, 2412, 1341, 476, 2004, 2020, 284, 476, 4510, 6398, 476, 3445, 692, 284, 19238, 373, 476, 31256, 271, 692, 277, 269, 589, 29449, 7727, 476, 3953, 20990, 540, 5144, 547, 513, 15678, 538, 519, 6640, 543, 476, 6924, 20990, 540, 5144, 538, 519, 10543, 269, 1403, 519, 5144, 3790, 19238, 373, 476, 3393, 829, 2148, 267, 875, 1454, 2724, 568, 1813, 547, 519, 29449, 829, 1554, 2496, 22069, 1903, 1384, 300, 20488, 7274, 13859, 538, 519, 6640, 815, 476, 3953, 20990, 692, 300, 20488, 7274, 13859, 538, 519, 10543, 815, 476, 6924, 20990, 692, 21798, 540, 5144, 829, 2148, 815, 19238, 373, 476, 3393, 692, 13707, 1942, 540, 5144, 829, 1554, 815, 476, 3393, 6398, 630, 3953, 1341, 476, 6924, 2020, 284, 476, 3393, 6398, 476, 1911, 692, 284, 19238, 373, 476, 14596, 271, 692, 17798, 267, 519, 2724, 568, 1813, 547, 519, 29449, 829, 1554, 568, 19238, 373, 476, 14596, 271, 692, 278, 269, 26969, 519, 1739, 1384, 9217, 264, 476, 28883, 6398, 476, 15793, 815, 476, 28883, 6398, 630, 277, 1341, 476, 1789, 1341, 476, 1911, 264, 630, 320, 264, 2155, 583, 18356, 896, 8691, 780, 23870, 264, 476, 273, 6398, 476, 5392, 6398, 476, 2004, 815, 476, 273, 6398, 476, 2004, 6398, 476, 5392, 630, 321, 264, 2155, 583, 18356, 896, 1840, 780, 31702, 264, 476, 3199, 1341, 476, 1220, 276, 1341, 476, 736, 815, 476, 3199, 1341, 476, 736, 1341, 476, 1220, 276, 630, 322, 264, 20518, 583, 2032, 540, 8691, 936, 1840, 780, 22069, 1903, 1384, 9217, 264, 1109, 28883, 6398, 476, 15793, 815, 476, 28883, 6398, 630, 277, 1341, 476, 1789, 1341, 476, 1911, 264, 630, 322, 264, 20518, 583, 2032, 540, 8691, 936, 1840, 780, 17798, 630, 322, 264, 568, 519, 2953, 2626, 692, 23870, 264, 476, 273, 6398, 476, 5392, 6398, 476, 2004, 815, 476, 273, 6398, 476, 2004, 6398, 476, 5392, 630, 320, 264, 2155, 583, 18356, 896, 8691, 692, 17798, 267, 630, 320, 264, 568, 519, 2953, 2626, 692, 31702, 264, 476, 3199, 1341, 476, 1220, 276, 1341, 476, 736, 815, 476, 3199, 1341, 476, 736, 1341, 476, 1220, 276, 630, 321, 264, 2155, 583, 18356, 896, 1840, 692, 17798, 267, 630, 321, 264, 568, 519, 2953, 2626, 692, 1012, 11644, 476, 273, 269, 274, 692, 272, 269, 6904, 540, 519, 1739, 786, 711, 2099, 4642, 1384, 5416, 264, 476, 272, 1341, 476, 271, 692, 6357, 264, 476, 271, 6398, 476, 271, 692, 6262, 264, 476, 271, 1315, 476, 273, 692, 5560, 264, 630, 1015, 1107, 476, 1015, 264, 1315, 476, 273, 692, 22069, 1903, 1384, 5416, 264, 476, 272, 1341, 476, 271, 815, 476, 272, 692, 17798, 267, 621, 1281, 711, 2099, 4642, 692, 6357, 264, 476, 271, 6398, 476, 271, 815, 476, 271, 692, 17798, 267, 621, 4564, 4642, 692, 6262, 264, 476, 271, 1315, 476, 273, 815, 476, 271, 692, 17798, 267, 621, 4564, 4642, 692, 5560, 264, 630, 1015, 1107, 476, 1015, 264, 1315, 476, 273, 815, 476, 271, 1315, 476, 273, 815, 476, 271, 692, 17798, 267, 621, 4564, 4642, 692, 273, 269, 1403, 519, 1587, 540, 1079, 2898, 2338, 568, 4642, 267, 666, 649, 2161, 602, 835, 610, 1312, 540, 873, 786, 581, 4642, 286, 3807, 1518, 998, 1806, 780, 22069, 1903, 1384, 2252, 519, 1587, 540, 1079, 2898, 2338, 568, 4642, 267, 9090, 835, 540, 873, 568, 4642, 692, 7078, 281, 476, 271, 6398, 476, 274, 815, 476, 271, 543, 476, 1428, 6398, 476, 271, 815, 476, 271, 692, 2252, 519, 1587, 540, 1079, 2898, 2338, 568, 4642, 267, 1312, 540, 873, 949, 581, 4642, 692, 7078, 281, 476, 271, 6398, 476, 271, 815, 476, 271, 692, 8133, 267, 952, 519, 1587, 540, 1079, 2898, 2338, 568, 4642, 267, 1287, 1312, 540, 873, 786, 581, 4642, 692, 274, 269, 1403, 519, 1587, 540, 1079, 2898, 2338, 568, 476, 272, 267, 666, 649, 2161, 602, 835, 610, 1312, 540, 873, 786, 581, 476, 272, 286, 3807, 1518, 998, 1806, 780, 22069, 1903, 1384, 2252, 519, 1587, 540, 1079, 2898, 2338, 568, 476, 272, 267, 1312, 519, 2338, 1058, 581, 3160, 547, 476, 272, 692, 7078, 281, 476, 272, 6398, 476, 272, 815, 476, 272, 692, 3719, 476, 272, 6398, 476, 276, 815, 476, 276, 692, 17798, 267, 621, 779, 2312, 602, 519, 1587, 540, 1079, 2898, 2338, 786, 581, 476, 272, 267, 1152, 538, 519, 3510, 950, 1312, 2338, 547, 581, 16611, 616, 476, 272, 692, 275, 269, 4855, 1210, 2733, 5737, 3959, 1384, 5416, 264, 476, 278, 2764, 6398, 476, 6200, 692, 6357, 264, 476, 276, 6246, 278, 6398, 476, 1911, 272, 692, 6262, 264, 476, 279, 2190, 6398, 476, 1839, 692, 5560, 264, 476, 275, 2767, 276, 6398, 476, 10219, 692, 16216, 264, 476, 27843, 6398, 476, 3374, 692, 22069, 1903, 1384, 5416, 264, 9717, 476, 278, 2764, 6398, 476, 6200, 692, 278, 2764, 6398, 630, 1911, 1341, 476, 272, 2020, 284, 476, 278, 2764, 6398, 476, 1911, 1341, 476, 278, 2764, 6398, 476, 272, 692, 284, 476, 278, 2764, 876, 1341, 476, 278, 2764, 692, 284, 476, 278, 3374, 2764, 692, 6357, 264, 9717, 476, 276, 6246, 278, 6398, 476, 1911, 272, 692, 284, 476, 276, 6246, 278, 6398, 630, 1911, 271, 1341, 476, 272, 2020, 284, 476, 276, 6246, 278, 6398, 476, 1911, 271, 1341, 476, 276, 6246, 278, 6398, 476, 272, 692, 284, 476, 276, 6246, 10384, 271, 1341, 476, 276, 6246, 278, 692, 284, 476, 276, 4510, 25838, 278, 692, 6262, 264, 9717, 476, 279, 2190, 6398, 476, 1839, 692, 284, 630, 8517, 1341, 476, 2190, 264, 6398, 476, 1839, 692, 284, 630, 8517, 1341, 476, 1839, 1107, 476, 272, 264, 6398, 476, 1839, 692, 284, 476, 8517, 6398, 476, 1839, 1341, 476, 1839, 6398, 476, 1839, 1107, 476, 272, 6398, 476, 1839, 692, 284, 476, 1220, 876, 1341, 476, 27698, 1107, 476, 1839, 692, 284, 476, 1220, 876, 1341, 476, 7785, 692, 284, 476, 18684, 876, 692, 5560, 264, 9717, 476, 275, 2767, 276, 6398, 476, 10219, 692, 284, 630, 6110, 271, 1341, 476, 1220, 1341, 476, 1911, 1107, 476, 1839, 264, 6398, 476, 10219, 692, 284, 630, 6110, 271, 6398, 476, 10219, 1341, 476, 1220, 6398, 476, 10219, 1341, 476, 1911, 6398, 476, 10219, 1107, 476, 1839, 6398, 476, 10219, 2020, 284, 476, 4335, 1822, 1341, 476, 7742, 876, 1341, 476, 10219, 876, 1107, 476, 24374, 276, 692, 284, 476, 276, 4097, 23841, 692, 16216, 264, 9717, 476, 27843, 6398, 476, 3374, 692, 284, 630, 4335, 1341, 476, 275, 264, 6398, 476, 3374, 692, 284, 476, 4335, 6398, 476, 3374, 1341, 476, 275, 6398, 476, 3374, 692, 284, 476, 11260, 876, 1341, 476, 9610, 692, 284, 476, 12293, 2412, 692, 276, 269, 5530, 519, 4806, 1384, 272, 6398, 476, 279, 1341, 476, 272, 815, 476, 280, 476, 11277, 275, 6398, 476, 279, 1341, 476, 275, 815, 476, 7176, 278, 277, 692, 1321, 6398, 476, 279, 1341, 476, 273, 815, 476, 7176, 476, 11277, 3393, 6398, 476, 279, 1341, 476, 276, 815, 476, 7176, 278, 4792, 692, 11277, 6398, 476, 279, 1341, 476, 274, 815, 476, 7176, 278, 692, 2237, 519, 1985, 1079, 3268, 269, 2052, 596, 2161, 875, 519, 4806, 1568, 2496, 263, 295, 842, 281, 476, 11277, 3393, 815, 476, 9340, 1556, 1341, 476, 9340, 272, 1341, 476, 9340, 1341, 476, 1556, 1341, 476, 272, 2020, 22069, 1903, 1384, 11277, 27174, 6398, 476, 279, 1341, 476, 277, 815, 476, 7176, 278, 4792, 275, 692, 11277, 27174, 278, 6398, 476, 279, 1341, 476, 278, 815, 476, 7176, 278, 4792, 275, 274, 692, 11693, 476, 11277, 27174, 815, 630, 9340, 9340, 1341, 476, 9340, 1556, 1341, 476, 9340, 272, 1341, 476, 9340, 1341, 476, 1556, 1341, 476, 272, 2020, 11277, 27174, 6398, 476, 279, 815, 630, 9340, 9340, 1341, 476, 9340, 1556, 1341, 476, 9340, 272, 1341, 476, 9340, 1341, 476, 1556, 1341, 476, 272, 264, 6398, 476, 279, 692, 284, 476, 9340, 9340, 6398, 476, 279, 1341, 476, 9340, 1556, 6398, 476, 279, 1341, 476, 9340, 272, 6398, 476, 279, 1341, 476, 9340, 6398, 476, 279, 1341, 476, 1556, 6398, 476, 279, 1341, 476, 272, 6398, 476, 279, 692, 284, 476, 31229, 31229, 1341, 476, 31229, 6434, 1341, 476, 31229, 279, 1341, 476, 31229, 1341, 476, 6434, 1341, 476, 279, 692, 284, 476, 7176, 278, 277, 4366, 692, 11277, 27174, 6398, 476, 279, 1341, 476, 277, 815, 476, 7176, 278, 277, 4366, 1341, 476, 277, 692, 284, 476, 7176, 278, 4792, 275, 692, 8133, 267, 1934, 519, 4806, 1568, 692, 11277, 27174, 278, 6398, 476, 279, 1341, 476, 278, 815, 476, 7176, 278, 4792, 275, 274, 692, 11693, 476, 11277, 27174, 278, 815, 630, 9340, 9340, 272, 1341, 476, 9340, 9340, 1341, 476, 9340, 1556, 1341, 476, 9340, 272, 1341, 476, 9340, 1341, 476, 1556, 1341, 476, 272, 2020, 11277, 27174, 278, 6398, 476, 279, 815, 630, 9340, 9340, 272, 1341, 476, 9340, 9340, 1341, 476, 9340, 1556, 1341, 476, 9340, 272, 1341, 476, 9340, 1341, 476, 1556, 1341, 476, 272, 264, 6398, 476, 279, 692, 284, 476, 9340, 9340, 272, 6398, 476, 279, 1341, 476, 9340, 9340, 6398, 476, 279, 1341, 476, 9340, 1556, 6398, 476, 279, 1341, 476, 9340, 272, 6398, 476, 279, 1341, 476, 9340, 6398, 476, 279, 1341, 476, 1556, 6398, 476, 279, 1341, 476, 272, 6398, 476, 279, 692, 284, 476, 31229, 31229, 279, 1341, 476, 31229, 31229, 1341, 476, 31229, 6434, 1341, 476, 31229, 279, 1341, 476, 31229, 1341, 476, 6434, 1341, 476, 279, 692, 284, 476, 7176, 278, 4792, 274, 277, 692, 11277, 27174, 278, 6398, 476, 279, 1341, 476, 278, 815, 476, 7176, 278, 4792, 274, 277, 1341, 476, 278, 692, 284, 476, 7176, 278, 4792, 275, 274, 692, 8133, 267, 1934, 519, 4806, 1568, 692, 1892, 3848, 476, 272, 18833, 938, 10606, 454, 1892, 3848, 476, 273, 19940, 10606, 454, 1892, 3848, 476, 274, 29892, 2060, 10606, 454, 1892, 3848, 476, 275, 9978, 2983, 2210, 3740, 14313, 454, 1892, 3848, 476, 276, 4197, 16504, 25609, 454, 1892, 3848, 476, 277, 6715, 619, 454, 1892, 3848, 476, 278, 17773, 454, 1892, 3848, 476, 279, 31353, 454, 1892, 3848, 476, 280, 4578, 30047, 454, 1892, 3848, 476, 1015, 20970, 1656, 631, 839, 4851, 454, 1892, 3848, 476, 1556, 10789, 454, 1892, 3848, 476, 1321, 22472, 1160, 15251, 454, 1892, 3848, 476, 1724, 4985, 1677, 6641, 11496, 454, 1892, 3848, 476, 1691, 19750, 16387, 13335, 692, 296, 4126, 596, 899, 519, 1344, 543, 4967, 2016, 676, 721, 269, 901, 786, 948, 596, 513, 2603, 538, 707, 14232, 11400, 269, 3371, 649, 616, 4758, 562, 32662, 3435, 547, 782, 540, 596, 1053, 267, 998, 799, 782, 540, 596, 666, 6060, 1360, 1134, 538, 707, 11400, 269, 769, 713, 2022, 267, 649, 616, 4758, 596, 562, 32662, 3435, 585, 1362, 476, 277, 13004, 269, 4126, 596, 4324, 689, 621, 269, 1411, 666, 4647, 519, 7824, 3758, 540, 713, 562, 32662, 3435, 269, 0, 258, 570, 582, 958, 21136, 21723, 692, 272, 269, 4239, 476, 1321 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 798, 649, 979, 998, 782, 519, 8373, 547, 1397, 519, 14249, 585, 519, 8691, 5013, 286, 4208, 711, 1175, 3274, 27655, 543, 581, 2944, 609, 621, 286, 1924, 1419, 544, 26937, 9582, 616, 1031, 547, 968, 15276, 892, 609, 519, 8357, 1436, 1184, 269, 631, 26937, 9582, 616, 513, 1650, 610, 22565, 1031, 547, 4217, 19551, 1945, 269, 589, 1134, 8153, 1383, 568, 20858, 717, 269, 645, 643, 267, 519, 544, 26937, 4577, 585, 519, 5311, 540, 22774, 4778, 281, 2699, 267, 10538, 267, 5835, 267, 3039, 267, 4544, 267, 967, 15282, 543, 642, 14489, 563, 23744, 267, 950, 1210, 544, 26937, 9582, 585, 2979, 5013, 267, 519, 5013, 616, 6026, 14350, 543, 1419, 1510, 513, 2979, 5133, 269, 634, 3347, 1063, 519, 5013, 616, 7508, 269, 1280, 1383, 267, 519, 544, 26937, 9582, 1522, 581, 513, 476, 1626, 4458, 6040, 3478, 741, 9920, 779, 12689, 865, 789, 666, 5397, 513, 476, 275, 9943, 275, 6174, 269, 901, 1287, 19595, 721, 602, 476, 275, 6398, 476, 275, 815, 476, 1626, 269, 4270, 267, 538, 3162, 21241, 267, 1453, 666, 1205, 741, 12689, 693, 2085, 476, 1691, 269, 1924, 1281, 602, 1611, 602, 476, 275, 6398, 476, 275, 815, 476, 1691, 538, 3162, 21241, 286, 1656, 538, 1715, 14948, 267, 476, 275, 6398, 476, 275, 815, 476, 1704, 286, 1656, 875, 1281, 476, 275, 6398, 476, 275, 9305, 547, 476, 275, 6398, 476, 276, 286, 898, 779, 1175, 1776, 968, 32143, 892, 547, 3314, 267, 2864, 982, 476, 1626, 7132, 476, 275, 811, 610, 476, 273, 6398, 476, 276, 23060, 568, 476, 736, 563, 2171, 1616, 938, 1453, 547, 1174, 256, 1879, 513, 1249, 568, 3274, 8357, 1242, 543, 711, 6956, 267, 621, 779, 899, 973, 1746, 513, 6648, 610, 8360, 538, 1776, 1893, 1510, 6616, 1018, 519, 1913, 1611, 269, 17610, 267, 621, 1522, 581, 973, 1243, 9985, 267, 855, 952, 972, 779, 1100, 1620, 267, 1018, 779, 519, 946, 286, 12213, 543, 3020, 1565, 3340, 1620, 540, 519, 3347, 538, 543, 1472, 519, 4121, 1344, 269, 1656, 602, 779, 1946, 649, 1376, 938, 7820, 1453, 538, 8691, 19692, 982, 2663, 269, 8729, 585, 519, 2243, 267, 20388, 320, 256, 0, 1432, 568, 7486, 888, 295, 4353, 6763, 585, 2048, 16058, 6375, 32759, 3644, 9957, 898, 779, 606, 3968, 3361, 676, 513, 3644, 602, 6285, 519, 1560, 779, 4761, 1062, 269, 898, 779, 1034, 4122, 10299, 676, 2348, 3023, 1510, 513, 598, 3256, 269, 28298, 666, 849, 4755, 689, 3993, 547, 1126, 1282, 6379, 610, 998, 20418, 269, 7486, 568, 849, 3262, 676, 4687, 540, 19271, 563, 295, 4353, 666, 581, 5701, 676, 2921, 1884, 790, 339, 22201, 12637, 6646, 563, 7212, 621, 3112, 581, 4625, 23174, 267, 2126, 1797, 596, 666, 2661, 513, 1279, 2635, 1272, 269, 1403, 596, 1376, 2126, 2038, 267, 1310, 513, 1906, 3275, 596, 1058, 723, 519, 3644, 896, 1852, 269, 4495, 519, 3644, 568, 896, 1852, 596, 3112, 1780, 7486, 593, 547, 824, 1004, 998, 4638, 3346, 563, 8005, 568, 693, 1981, 540, 7486, 888, 12179, 821, 945, 568, 16770, 3742, 666, 581, 693, 1981, 540, 7486, 269, 2368, 1004, 786, 723, 513, 2362, 1981, 267, 585, 1383, 912, 268, 1004, 945, 723, 2789, 4638, 4891, 454, 268, 1004, 945, 798, 711, 946, 513, 598, 3256, 9846, 543, 7157, 950, 2348, 3023, 454, 268, 1004, 945, 723, 824, 16770, 10299, 5563, 799, 723, 711, 1044, 5701, 454, 268, 1004, 945, 723, 796, 31695, 11579, 13577, 21420, 543, 1387, 3023, 454, 9558, 3939, 666, 849, 4755, 689, 3993, 547, 1126, 1282, 6379, 610, 998, 20418, 563, 295, 4353, 568, 849, 3262, 676, 4687, 19271, 563, 1692, 666, 594, 2061, 7486, 3968, 888, 763, 1034, 1455, 1259, 547, 1831, 7783, 609, 7486, 568, 676, 2348, 3023, 563, 8794, 513, 598, 3256, 950, 2348, 3023, 568, 606, 2500, 1259, 547, 2061, 7486, 6771, 269, 15742, 15629, 12862, 616, 3810, 11763, 538, 1004, 945, 616, 2713, 609, 7486, 543, 616, 711, 593, 2500, 2126, 912, 268, 21420, 11166, 454, 268, 1387, 5728, 687, 454, 5278, 1004, 945, 1589, 789, 616, 693, 1981, 540, 20414, 7486, 3442, 547, 1491, 513, 6646, 1572, 2398, 7968, 630, 2181, 7721, 17068, 605, 29091, 9471, 1040, 901, 568, 513, 16979, 799, 814, 1906, 2427, 2360, 543, 568, 3810, 2500, 693, 7303, 7486, 3968, 563, 14818, 532, 5781, 666, 2285, 596, 6015, 602, 596, 616, 711, 8429, 7486, 593, 547, 707, 4638, 4891, 269, 1403, 596, 616, 7486, 2318, 267, 2921, 1884, 790, 339, 22201, 12637, 6646, 568, 519, 1655, 3364, 596, 666, 798, 547, 2057, 8429, 7486, 593, 547, 1866, 269, 901, 2126, 666, 2569, 707, 10194, 4452, 547, 519, 1448, 1141, 621, 3112, 581, 9571, 676, 606, 7486, 1449, 267, 543, 621, 3112, 581, 5293, 593, 563, 4692, 594, 581, 5701, 585, 7486, 888, 2252, 596, 616, 8995, 609, 7486, 267, 596, 786, 581, 11311, 1884, 790, 339, 22201, 12637, 6646, 269, 898, 1568, 676, 16069, 519, 3644, 689, 18187, 908, 269, 901, 14014, 707, 4761, 1062, 689, 2417, 3441, 543, 2636, 621, 547, 7816, 543, 7794, 3294, 563, 7628, 707, 2126, 267, 621, 779, 1271, 602, 596, 1491, 707, 5227, 9570, 1169, 1554, 543, 602, 596, 2141, 7390, 707, 7486, 16758, 20499, 563, 3528, 3257, 713, 267, 596, 666, 2569, 519, 2179, 540, 3644, 538, 707, 1560, 865, 602, 621, 666, 2061, 596, 689, 9991, 2192, 269, 3973, 621, 786, 711, 581, 9571, 676, 606, 7486, 1449, 1317, 519, 2179, 540, 3644, 568, 865, 1507, 602, 621, 554, 1938, 1360, 1134, 267, 855, 7486, 568, 1869, 1459, 538, 519, 1973, 267, 607, 621, 814, 1100, 10826, 2943, 269, 1879, 596, 15666, 547, 707, 1884, 790, 339, 22201, 12637, 6646, 267, 596, 1831, 2205, 958, 26793, 543, 519, 7486, 3968, 666, 1100, 3476, 581, 5293, 593, 547, 1866, 269, 0, 293, 15903, 538, 476, 6245, 272, 543, 6806, 538, 476, 1960, 274, 267, 519, 5939, 540, 853, 269, 3397, 5886, 18795, 593, 513, 9602, 12701, 540, 28788, 2284, 9335, 693, 519, 10167, 540, 6428, 6511, 269, 898, 568, 4867, 7477, 656, 543, 814, 1044, 585, 513, 1297, 540, 1296, 563, 2005, 729, 2966, 676, 6276, 5062, 301, 600, 4673, 267, 543, 952, 835, 5654, 5702, 267, 649, 666, 2995, 602, 713, 5939, 729, 5693, 2404, 609, 519, 5980, 540, 4906, 267, 610, 20908, 7057, 267, 1813, 547, 519, 4527, 540, 519, 594, 9391, 1395, 6945, 538, 519, 7895, 2939, 269, 594, 4898, 952, 5062, 301, 600, 4673, 729, 513, 20908, 3726, 5128, 269, 1411, 666, 1294, 713, 1395, 6945, 593, 1776, 20908, 3726, 23938, 5939, 538, 853, 269, 8402, 267, 602, 540, 519, 1744, 9068, 540, 853, 269, 9478, 563, 4517, 540, 1576, 267, 594, 666, 1406, 948, 855, 1589, 540, 519, 5939, 540, 16114, 685, 288, 3913, 3150, 538, 3397, 821, 538, 7507, 950, 594, 1589, 540, 519, 23920, 538, 2243, 269, 853, 269, 3397, 5886, 729, 12004, 344, 1042, 1310, 533, 698, 753, 7368, 6836, 547, 29875, 1200, 669, 770, 640, 538, 1585, 6753, 267, 1519, 593, 519, 3135, 540, 519, 5939, 538, 7507, 267, 799, 729, 519, 3504, 853, 18123, 540, 4144, 665, 2280, 1014, 630, 1492, 10120, 623, 807, 3960, 320, 18937, 7431, 267, 799, 3470, 1161, 547, 713, 1554, 267, 3217, 922, 1106, 689, 519, 5656, 593, 922, 10665, 1373, 3710, 593, 519, 13210, 540, 519, 2025, 2235, 639, 1040, 634, 1699, 5939, 729, 2966, 676, 25845, 1723, 16907, 668, 7236, 267, 835, 540, 1250, 5172, 25724, 5159, 630, 5408, 1079, 540, 1010, 824, 13039, 1934, 543, 1934, 1070, 543, 607, 8912, 267, 1185, 547, 3514, 513, 1804, 5939, 538, 513, 1507, 1858, 563, 296, 3142, 909, 16907, 668, 7236, 779, 5939, 1317, 594, 666, 1406, 948, 855, 5469, 602, 519, 3844, 13675, 814, 513, 22394, 543, 5393, 16866, 1374, 24188, 540, 5062, 301, 600, 4673, 779, 1374, 585, 853, 269, 3397, 5886, 1934, 538, 853, 269, 8402, 269, 594, 4898, 952, 646, 1185, 14612, 547, 7507, 607, 851, 540, 1010, 2866, 267, 952, 646, 729, 538, 1249, 513, 20908, 3726, 563, 763, 562, 691, 28411, 267, 607, 649, 666, 1294, 538, 519, 8978, 8523, 1657, 267, 729, 3773, 2663, 563, 9827, 267, 16144, 3330, 540, 1776, 4583, 7826, 26746, 5939, 267, 19129, 717, 525, 340, 267, 649, 1294, 602, 519, 3141, 10767, 560, 609, 519, 1395, 6945, 540, 4906, 267, 594, 9391, 267, 849, 814, 513, 30675, 538, 7507, 269, 16393, 5062, 301, 600, 4673, 723, 1175, 2938, 621, 538, 513, 1820, 286, 2986, 1576, 602, 568, 2009, 607, 1134, 563, 3719, 20908, 7057, 616, 1360, 5100, 827, 741, 6189, 543, 4986, 568, 2479, 513, 14626, 2064, 563, 2026, 5018, 1354, 267, 543, 666, 581, 2938, 538, 519, 8978, 8523, 267, 1004, 4440, 3893, 13110, 540, 7555, 538, 519, 4411, 593, 519, 1259, 883, 519, 562, 1511, 267, 543, 713, 562, 691, 28411, 729, 3710, 856, 4395, 547, 1450, 1004, 547, 5531, 3330, 563, 2005, 4990, 540, 21219, 519, 3312, 5888, 855, 621, 779, 8978, 693, 713, 1448, 563, 19185, 693, 519, 18618, 20610, 856, 4395, 267, 543, 22348, 6000, 602, 789, 2899, 4371, 16560, 2712, 985, 593, 519, 2185, 15174, 540, 741, 7895, 9323, 267, 789, 849, 1586, 616, 24188, 540, 519, 840, 15479, 832, 693, 853, 269, 3397, 333, 3150, 538, 3397, 821, 538, 7507, 563, 11917, 16227, 267, 1813, 547, 4657, 16919, 543, 519, 2392, 7631, 766, 540, 2699, 15839, 267, 519, 20610, 616, 1454, 811, 2241, 982, 538, 519, 16907, 668, 7236, 5888, 563, 763, 5939, 568, 1454, 811, 982, 922, 4395, 3655, 9809, 1228, 267, 1498, 563, 32481, 593, 519, 2427, 6173, 725, 267, 621, 3587, 1360, 1454, 513, 2241, 4936, 525, 4302, 4860, 2526, 5939, 267, 609, 513, 22394, 569, 5822, 7276, 2511, 556, 2563, 7923, 547, 519, 7532, 3297, 513, 3376, 15989, 563, 3719, 519, 556, 2563, 2982, 602, 5912, 689, 519, 5822, 7276, 602, 649, 1294, 538, 3162, 4975, 538, 519, 476, 6642, 271, 338, 543, 476, 3445, 338, 563, 26139, 267, 593, 519, 6428, 6511, 2427, 540, 519, 5939, 621, 568, 5266, 2241, 267, 609, 1175, 930, 5594, 1788, 532, 2427, 669, 777, 1564, 563, 763, 5572, 267, 594, 4121, 689, 922, 8227, 945, 729, 856, 14450, 1200, 2371, 950, 594, 15336, 676, 835, 1554, 267, 729, 1524, 519, 8265, 538, 713, 2777, 267, 799, 594, 14353, 729, 3710, 607, 513, 4357, 15335, 269, 8074, 519, 3444, 936, 519, 7450, 3118, 563, 273, 22227, 5410, 16523, 454, 296, 6785, 853, 269, 3397, 5886, 5783, 607, 513, 7911, 543, 729, 27278, 676, 519, 4056, 779, 3100, 532, 7506, 267, 607, 1134, 607, 707, 11842, 827, 1010, 20908, 3726, 7506, 563, 763, 4056, 540, 853, 269, 3397, 5886, 267, 6276, 670, 269, 5062, 301, 600, 4673, 267, 729, 513, 9310, 7826, 267, 4535, 538, 6019, 25832, 267, 8581, 538, 476, 8146, 280, 267, 945, 729, 3833, 3742, 538, 853, 269, 8402, 689, 693, 2547, 519, 3735, 476, 5908, 271, 338, 547, 1010, 2669, 538, 476, 4489, 271, 563, 3891, 4667, 547, 723, 3323, 607, 513, 31585, 2006, 543, 5249, 609, 21150, 569, 543, 25860, 538, 519, 3735, 476, 5908, 271, 338, 593, 853, 269, 14731, 2473, 32667, 5783, 538, 14948, 6807, 267, 14889, 269, 1261, 849, 4667, 547, 723, 1185, 4296, 547, 7338, 654, 17659, 344, 267, 4056, 540, 519, 5449, 853, 269, 12844, 604, 864, 5783, 538, 2961, 27475, 2280, 563, 18250, 301, 600, 4673, 729, 513, 6205, 543, 22497, 4759, 538, 853, 269, 8402, 11265, 3906, 630, 24887, 513, 29533, 267, 3642, 288, 21178, 269, 8402, 267, 476, 6642, 280, 1070, 5249, 585, 519, 5313, 2229, 1934, 607, 513, 8111, 23734, 550, 540, 14716, 267, 543, 729, 513, 11967, 543, 15197, 4274, 585, 4070, 5829, 4031, 7057, 543, 1950, 11650, 1644, 547, 1857, 1568, 563, 3891, 2966, 519, 4566, 585, 16410, 22828, 5600, 630, 17025, 670, 304, 264, 538, 11206, 5244, 630, 6942, 276, 1070, 855, 594, 1265, 1100, 17609, 540, 1010, 824, 6272, 610, 5656, 269, 1261, 7012, 1406, 513, 17308, 855, 646, 729, 3742, 538, 7826, 2238, 267, 7674, 607, 513, 6205, 540, 519, 12928, 2074, 540, 853, 269, 18536, 538, 853, 269, 8402, 269, 1261, 5747, 10393, 693, 476, 3583, 693, 1010, 15335, 693, 476, 31620, 272, 5244, 630, 22238, 2406, 513, 1079, 1922, 13637, 282, 621, 779, 8854, 855, 15231, 5656, 1869, 2291, 1040, 1261, 729, 12617, 693, 2836, 341, 776, 30895, 689, 853, 269, 14731, 2473, 32667, 593, 9835, 2349 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 646, 7948, 1406, 2322, 5220, 1927, 5265, 269, 1924, 693, 519, 942, 646, 1185, 1100, 4555, 540, 7432, 1010, 5326, 3239, 540, 513, 10217, 12051, 883, 513, 1650, 563, 14367, 4876, 607, 513, 5856, 3357, 827, 676, 8009, 1247, 646, 729, 7674, 607, 606, 13930, 2011, 1140, 5995, 538, 6115, 538, 519, 2475, 1282, 24918, 543, 729, 4280, 547, 2328, 2984, 543, 4930, 1759, 593, 1010, 942, 607, 513, 25142, 12681, 269, 898, 3366, 547, 606, 2856, 585, 513, 1453, 779, 4670, 602, 667, 22844, 5941, 609, 18557, 269, 2755, 519, 4670, 729, 2760, 1500, 513, 1433, 267, 634, 13983, 6447, 1231, 267, 729, 3370, 538, 476, 3707, 274, 543, 729, 513, 1967, 563, 3891, 1287, 1500, 1010, 2012, 1603, 2110, 2984, 602, 941, 2663, 6394, 883, 2835, 267, 1082, 540, 799, 941, 2937, 2984, 609, 1419, 5672, 629, 516, 267, 29737, 610, 4158, 1641, 2339, 269, 3571, 2835, 585, 7820, 3988, 267, 971, 607, 6276, 1656, 634, 27951, 3212, 778, 538, 476, 3422, 272, 849, 8659, 4158, 23538, 585, 1453, 779, 3332, 269, 769, 602, 1650, 6276, 779, 3237, 616, 7166, 538, 513, 11002, 3626, 4323, 543, 646, 1965, 7870, 1272, 609, 1079, 29880, 31225, 338, 1310, 16565, 513, 9126, 540, 9059, 25438, 850, 10209, 1132, 602, 616, 18417, 12628, 2870, 513, 9649, 890, 778, 602, 646, 3096, 267, 609, 519, 948, 540, 513, 26600, 540, 9676, 694, 698, 1638, 338, 267, 547, 8038, 2066, 519, 9533, 547, 3013, 563, 1103, 602, 3209, 667, 22844, 19528, 519, 890, 778, 12902, 2250, 513, 10217, 12051, 267, 799, 1131, 581, 519, 1641, 585, 1010, 1985, 1453, 779, 1433, 269, 2755, 3206, 827, 2093, 585, 519, 1433, 667, 22844, 15422, 1010, 22649, 540, 519, 6427, 532, 4055, 693, 27974, 10767, 903, 269, 1809, 972, 941, 849, 824, 2959, 540, 6667, 563, 291, 22844, 729, 513, 10178, 540, 669, 4377, 919, 1500, 676, 4130, 9755, 543, 561, 3512, 539, 519, 1249, 602, 3677, 3549, 941, 9140, 856, 1082, 2757, 1476, 1254, 619, 543, 669, 4377, 520, 4536, 269, 1261, 2813, 654, 517, 6390, 607, 513, 2757, 10672, 14850, 564, 676, 4158, 4229, 538, 519, 9746, 1158, 3843, 547, 21102, 1010, 11580, 269, 769, 519, 1433, 621, 6257, 875, 654, 517, 6390, 1185, 547, 521, 871, 1010, 5234, 1317, 789, 941, 27560, 1010, 11580, 543, 9513, 873, 547, 15180, 9755, 971, 607, 590, 29888, 10290, 267, 3079, 17849, 519, 10217, 15962, 25165, 1634, 607, 744, 558, 11985, 6441, 7112, 335, 553, 563, 2467, 941, 7899, 540, 8320, 540, 4853, 17611, 32025, 538, 519, 1483, 1158, 593, 799, 646, 1223, 2721, 269, 1280, 6135, 9370, 267, 519, 1977, 13653, 540, 519, 9370, 5549, 1476, 1254, 2044, 10504, 267, 3576, 6009, 538, 10217, 15327, 538, 2342, 547, 1451, 930, 540, 741, 10217, 1818, 11580, 269, 7324, 873, 729, 519, 18230, 1426, 9649, 29321, 548, 267, 609, 7247, 9370, 1131, 723, 513, 15400, 31195, 269, 2290, 540, 519, 10217, 13063, 646, 13948, 588, 1961, 729, 606, 1977, 10217, 4904, 609, 17310, 14475, 676, 670, 619, 30750, 779, 1634, 607, 631, 2432, 269, 1261, 3576, 519, 2856, 543, 3812, 621, 538, 6628, 607, 645, 870, 344, 269, 9370, 729, 12021, 585, 1010, 5728, 633, 2470, 267, 1256, 9420, 325, 13783, 1004, 945, 10272, 1010, 12051, 865, 602, 789, 7948, 1406, 21102, 1010, 2093, 585, 1007, 2472, 563, 3719, 952, 9370, 729, 835, 6667, 585, 590, 29888, 10290, 267, 654, 517, 6390, 5128, 729, 6986, 5708, 269, 3571, 2012, 3357, 689, 513, 1630, 9593, 836, 11262, 676, 667, 22844, 779, 7015, 2443, 513, 968, 20597, 11035, 654, 517, 6390, 6100, 1809, 2663, 667, 22844, 4607, 513, 4484, 689, 513, 2022, 2006, 3957, 654, 11035, 654, 517, 6390, 538, 27228, 269, 1879, 29321, 548, 9250, 922, 654, 517, 6390, 6216, 538, 476, 3192, 272, 789, 2366, 1864, 5439, 547, 2285, 547, 1453, 593, 1010, 8905, 563, 23192, 3370, 607, 21690, 1382, 6273, 667, 22844, 779, 10217, 5929 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2465, 27306, 4940, 31742, 619, 31927, 4311, 269, 22852, 314, 31742, 518, 27306, 7481, 2018, 1582, 269, 22852, 314, 31742, 518, 27306, 4940, 31742, 338, 31927, 4311, 269, 22852, 314, 31742, 2465, 27306, 316, 9239, 258, 2659, 12108, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 258, 1073, 329, 815, 12108, 4590, 258, 1073, 329, 4877, 739, 307, 11548, 263, 12528, 27306, 25722, 11548, 27306, 994, 258, 4164, 318, 273, 815, 1073, 329, 10947, 21158, 293, 3975, 263, 12528, 27306, 994, 258, 1073, 329, 8807, 4772, 6600, 4772, 518, 27306, 267, 31742, 2465, 27306, 994, 258, 1073, 329, 26509, 31742, 6600, 4772, 518, 27306, 267, 31742, 2465, 27306, 994, 0, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 2187, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 454, 1038, 1582, 4877, 1861, 815, 7183, 7531, 5035, 645, 4306, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 10174, 815, 7183, 692, 825, 1219, 7696, 4311, 267, 1871, 2187, 1038, 952, 1582, 269, 10174, 568, 7183, 912, 2018, 1582, 269, 10174, 815, 19219, 263, 7407, 994, 1038, 3116, 912, 2018, 2132, 1582, 11519, 12133, 4311, 269, 10174, 267, 1871, 2020, 825, 1219, 9041, 12133, 4311, 267, 28364, 17045, 267, 1871, 2187, 1038, 952, 1871, 2999, 28364, 17045, 27841, 912, 2018, 952, 28364, 17045, 16000, 568, 7183, 912, 3546, 28364, 17045, 16000, 815, 19219, 263, 7407, 994, 3546, 28364, 17045, 16000, 4877, 1861, 815, 28364, 17045, 454, 2018, 3116, 912, 3546, 1582, 11519, 12133, 263, 2017, 337, 17045, 16000, 267, 1871, 994, 1038, 8640, 1871, 3436, 28364, 17045, 27841, 912, 2018, 952, 28364, 17045, 16192, 568, 7183, 912, 3546, 28364, 17045, 16192, 815, 19219, 263, 7407, 994, 3546, 28364, 17045, 16192, 4877, 1861, 815, 28364, 17045, 454, 2018, 3116, 912, 3546, 1582, 11519, 12133, 263, 2017, 337, 17045, 16192, 267, 1871, 994, 1038, 3116, 912, 2018, 1820, 3488, 19368, 1325, 2819, 10558, 9847, 22207, 1871, 2020, 825, 1219, 3406, 4311, 267, 1871, 2187, 1038, 952, 1582, 269, 10174, 568, 711, 7183, 912, 2018, 2132, 1582, 11519, 14142, 4311, 269, 10174, 267, 1871, 994, 1038, 3116, 912, 2018, 2132, 8771, 692, 825, 1219, 9041, 14142, 4311, 267, 28364, 17045, 267, 1871, 2187, 1038, 952, 1871, 2652, 28364, 17045, 27841, 912, 2018, 2132, 6936, 454, 1038, 8640, 1871, 2999, 28364, 17045, 27841, 543, 28364, 17045, 16000, 568, 711, 7183, 912, 2018, 2132, 1582, 11519, 14142, 263, 2017, 337, 17045, 16000, 267, 1871, 994, 1038, 8640, 1871, 3436, 28364, 17045, 27841, 543, 28364, 17045, 16192, 568, 711, 7183, 912, 2018, 2132, 1582, 11519, 14142, 263, 2017, 337, 17045, 16192, 267, 1871, 994, 1038, 3116, 912, 2018, 2132, 1412, 7407, 711, 1336, 28847, 825, 1219, 1265, 4311, 267, 1871, 2187, 1038, 952, 1582, 269, 10174, 27841, 11203, 1871, 912, 2018, 2132, 1582, 11519, 22772, 4311, 269, 10174, 267, 1871, 994, 1038, 3116, 912, 2018, 2132, 1582, 269, 10174, 27841, 692, 825, 1219, 9041, 22772, 4311, 267, 28364, 17045, 267, 1871, 2187, 1038, 952, 1871, 2652, 28364, 17045, 27841, 912, 2018, 2132, 28364, 17045, 27841, 454, 1038, 8640, 1871, 2999, 28364, 17045, 27841, 543, 28364, 17045, 16000, 568, 711, 7183, 912, 2018, 2132, 1582, 11519, 22772, 263, 2017, 337, 17045, 16000, 267, 1871, 994, 1038, 8640, 1871, 3436, 28364, 17045, 27841, 543, 28364, 17045, 16192, 568, 711, 7183, 912, 2018, 2132, 1582, 11519, 22772, 263, 2017, 337, 17045, 16192, 267, 1871, 994, 1038, 3116, 912, 2018, 2132, 1412, 7407, 711, 1336, 28847, 825, 1219, 18419, 4311, 267, 1871, 2187, 1038, 1780, 692, 825, 1219, 4159, 4311, 2187, 1038, 952, 1582, 269, 10174, 568, 711, 7183, 912, 2018, 2132, 1582, 11519, 5891, 4311, 269, 10174, 2020, 825, 1219, 9041, 5891, 4311, 267, 28364, 17045, 2187, 1038, 952, 28364, 17045, 568, 711, 7183, 912, 2018, 1582, 11519, 5891, 263, 2017, 337, 17045, 16000, 994, 2018, 1820, 19304, 263, 2017, 337, 17045, 27841, 4917, 2018, 1582, 11519, 5891, 263, 2017, 337, 17045, 16192, 9239, 29728, 815, 645, 4306, 4590, 29728, 27044, 263, 1015, 994, 29728, 27044, 263, 272, 994, 29728, 27044, 263, 1321, 994, 29728, 27044, 263, 273, 994, 29728, 27044, 263, 1724, 994, 29728, 27044, 263, 1724, 994, 29728, 269, 5891, 4590, 258, 1820, 6025, 872, 26098, 263, 11025, 4917, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 769, 314, 272, 28660, 454, 5814, 11885, 607, 5286, 454, 12248, 815, 476, 271, 825, 1948, 4736, 10948, 20046, 10948, 4138, 7549, 10780, 5284, 379, 9924, 4344, 30718, 454, 15893, 815, 5286, 20179, 27110, 263, 272, 267, 476, 6200, 264, 825, 1948, 13194, 3522, 15671, 3522, 28027, 4709, 21170, 3264, 24893, 25986, 6459, 3378, 454, 2745, 3488, 396, 501, 3522, 15671, 3522, 28027, 21170, 24893, 25986, 6459, 3378, 16068, 4344, 476, 272, 18194, 3378, 476, 1911, 17210, 3698, 3014, 6831, 648, 24449, 274, 28840, 2187, 825, 1948, 396, 350, 5284, 371, 28027, 27671, 16044, 482, 7846, 4709, 7549, 30530, 19628, 18194, 31124, 10780, 3378, 25986, 18547, 24893, 25986, 20977, 630, 6358, 910, 24893, 25986, 6459, 3378, 267, 3977, 910, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 10780, 5284, 379, 9924, 4344, 30718, 994, 825, 1003, 8217, 815, 1496, 328, 585, 1775, 538, 2039, 263, 272, 267, 476, 6200, 22708, 825, 1948, 396, 350, 5284, 371, 28027, 27671, 11012, 10528, 25986, 30718, 11012, 16044, 491, 6459, 27671, 12811, 25000, 9261, 4138, 454, 825, 1295, 19571, 815, 1003, 8217, 314, 271, 316, 1948, 396, 507, 3522, 4138, 9261, 12811, 9841, 20732, 4138, 13953, 16044, 491, 6459, 27671, 12811, 4344, 11012, 10528, 25986, 18547, 454, 825, 3193, 19571, 815, 1003, 8217, 15631, 272, 316, 1948, 396, 507, 3522, 4138, 16648, 17201, 9841, 20732, 4138, 13953, 16044, 491, 6459, 27671, 12811, 4344, 11012, 10528, 25986, 18547, 454, 825, 1293, 815, 476, 271, 454, 825, 1247, 1295, 19571, 10922, 3193, 19571, 281, 1948, 30530, 7549, 6459, 267, 10780, 13833, 4344, 18775, 9326, 19628, 27569, 4138, 13953, 31502, 10780, 30718, 3522, 21660, 4138, 9261, 12811, 9841, 20732, 4138, 13953, 15800, 21660, 4138, 16648, 17201, 9841, 20732, 4138, 13953, 16044, 491, 6459, 27671, 12811, 4344, 9924, 14359, 3264, 11012, 13833, 10528, 3522, 9686, 7846, 4344, 454, 1038, 1293, 6834, 476, 272, 454, 1038, 1285, 326, 19571, 815, 630, 2381, 19571, 1341, 3193, 19571, 264, 2260, 273, 476, 1948, 4736, 16417, 9686, 17221, 13953, 16044, 491, 6459, 27671, 12811, 4344, 11012, 10528, 25986, 18547, 454, 1038, 952, 1285, 326, 19571, 3436, 1297, 912, 2018, 3193, 19571, 815, 1285, 326, 19571, 910, 476, 272, 1948, 27799, 20434, 30935, 15671, 3522, 28027, 4709, 21170, 3264, 24893, 25986, 6459, 3378, 20413, 12811, 9841, 20732, 3264, 11012, 16417, 9686, 4709, 3264, 15671, 3378, 16044, 491, 6459, 27671, 12811, 25000, 11012, 10528, 25986, 18547, 267, 11012, 16417, 9686, 17221, 13953, 16044, 491, 6459, 27671, 12811, 4344, 11012, 25000, 4709, 13833, 4138, 4344, 31502, 21660, 4138, 16648, 17201, 9841, 20732, 4138, 9261, 454, 1038, 8640, 1285, 326, 19571, 2999, 1297, 912, 2018, 1295, 19571, 815, 1285, 326, 19571, 1341, 476, 272, 1948, 27799, 20434, 30935, 15671, 3522, 28027, 4709, 21170, 3264, 24893, 25986, 6459, 3378, 25338, 17201, 9841, 20732, 3264, 11012, 16417, 9686, 4709, 3264, 15671, 3378, 16044, 491, 6459, 27671, 12811, 25000, 11012, 10528, 25986, 18547, 267, 11012, 16417, 9686, 17221, 13953, 16044, 491, 6459, 27671, 12811, 4344, 11012, 25000, 4709, 13833, 4138, 4344, 31502, 21660, 4138, 9261, 12811, 9841, 20732, 4138, 9261, 454, 1038, 3116, 912, 2018, 2736, 1948, 27799, 20434, 476, 13077, 8563, 21170, 11714, 9924, 17153, 19757, 4138, 9261, 454, 825, 2132, 6262, 870, 2020, 2745, 3488, 29551, 9924, 27188, 15671, 3522, 28027, 20434, 24893, 25986, 6459, 3378, 15079, 30935, 15079, 10780, 5284, 379, 9924, 4344, 30718, 269, 8339, 8971, 28840, 267, 3014, 6831, 648, 24449, 274, 6262, 870, 4297, 9239, 258, 769, 314, 9948, 1384, 7531, 0, 5814, 4351, 692, 5035, 7591, 29228, 3890, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 5884, 8217, 22561, 2187, 1038, 952, 5884, 8217, 912, 2018, 952, 7003, 5560, 773, 8217, 264, 11203, 476, 277, 912, 3546, 6318, 1401, 4003, 2891, 2791, 991, 547, 723, 4010, 476, 277, 18062, 23528, 1038, 1582, 269, 5562, 318, 2651, 815, 5884, 8217, 610, 1582, 269, 2651, 318, 718, 5091, 823, 4590, 1038, 1582, 269, 5562, 318, 2651, 6831, 3300, 815, 476, 277, 454, 1038, 1582, 269, 23974, 1518, 10734, 3089, 564, 815, 11713, 1038, 1582, 269, 16557, 10734, 3089, 564, 815, 11713, 1038, 1582, 6745, 4973, 318, 2651, 338, 815, 476, 271, 1948, 10261, 547, 4368, 454, 1038, 1582, 269, 704, 2739, 14682, 877, 815, 1496, 272, 267, 275, 267, 277, 267, 277, 267, 277, 267, 277, 2639, 1038, 1582, 6745, 4973, 23962, 815, 476, 271, 454, 1038, 1582, 269, 2452, 10797, 825, 1219, 887, 331, 671, 823, 4311, 2187, 1038, 18062, 272, 815, 4351, 27110, 263, 272, 267, 277, 994, 1038, 2132, 18062, 272, 692, 825, 1219, 5066, 318, 718, 5091, 823, 4311, 2187, 1038, 1948, 1607, 568, 519, 3742, 318, 2651, 10734, 3089, 564, 454, 1038, 1948, 16651, 20061, 782, 18062, 454, 1038, 18062, 815, 11713, 1038, 585, 5884, 538, 2039, 263, 277, 2187, 2018, 18062, 6910, 4311, 269, 1503, 671, 823, 15405, 1038, 1820, 2891, 1607, 568, 519, 5066, 318, 718, 5091, 823, 674, 7419, 290, 3582, 2580, 18062, 994, 1038, 2132, 18062, 825, 22562, 825, 1219, 5066, 318, 718, 5091, 823, 318, 28785, 4311, 2187, 1038, 1948, 1607, 568, 519, 3742, 318, 2651, 10734, 3089, 564, 454, 1038, 1948, 16651, 20061, 782, 18062, 454, 1038, 18062, 273, 815, 11713, 1038, 1948, 1820, 2891, 10472, 568, 519, 957, 1853, 3326, 322, 3300, 2580, 1582, 269, 5562, 318, 2651, 6831, 3300, 994, 1038, 585, 5884, 538, 2039, 4311, 269, 5562, 318, 2651, 6831, 3300, 2187, 2018, 18062, 273, 6910, 4311, 269, 1503, 671, 823, 15405, 1038, 1820, 2891, 1607, 568, 519, 5066, 318, 718, 5091, 823, 318, 28785, 674, 7419, 290, 3582, 2580, 18062, 273, 994, 1038, 2132, 18062, 273, 8528, 825, 1219, 1404, 4311, 2187, 1038, 1247, 1582, 269, 4777, 4671, 1248, 10031, 2018, 1582, 269, 23974, 1518, 24417, 2737, 4590, 2018, 1582, 269, 1598, 1538, 344, 5334, 1460, 525, 4590, 2018, 1582, 269, 26303, 318, 5562, 318, 2651, 4590, 2018, 1582, 269, 2651, 318, 718, 5091, 823, 318, 28785, 4590, 2018, 1948, 28733, 15765, 318, 305, 3326, 543, 9337, 609, 1007, 18062, 454, 2018, 1820, 2891, 1607, 568, 519, 623, 6369, 312, 8520, 3742, 5066, 2580, 1582, 269, 5562, 318, 2651, 994, 1038, 1582, 269, 29798, 4590, 1038, 1948, 16651, 1590, 1747, 513, 5934, 540, 835, 18062, 538, 2901, 19943, 593, 1142, 5066, 454, 1038, 1948, 763, 19943, 13307, 5673, 593, 20618, 24417, 2737, 543, 6060, 24417, 2737, 454, 1038, 1948, 11514, 2452, 519, 2164, 540, 1142, 5066, 543, 519, 7222, 11369, 1115, 454, 1038, 1820, 2891, 763, 15765, 5066, 568, 281, 4939, 338, 257, 4939, 1582, 269, 5562, 318, 2651, 2437, 763, 19120, 13294, 616, 281, 4939, 338, 257, 4939, 1582, 269, 23974, 1518, 10734, 3089, 564, 267, 834, 763, 24143, 568, 281, 4939, 338, 257, 4939, 1582, 269, 16557, 10734, 3089, 564, 267, 834, 763, 2698, 20061, 941, 281, 4939, 338, 257, 4939, 1582, 6745, 4973, 318, 2651, 338, 2020, 825, 1219, 798, 4671, 1248, 4311, 2187, 1038, 952, 1582, 269, 5562, 318, 2651, 6831, 3300, 2652, 476, 271, 912, 2018, 2132, 8771, 454, 1038, 3116, 912, 2018, 2132, 6936, 454, 1038, 1948, 11687, 952, 649, 1058, 798, 1776, 2490, 692, 825, 1219, 9337, 318, 5562, 318, 2651, 4311, 2187, 1038, 1582, 269, 5562, 318, 2651, 269, 27234, 4590, 1038, 1582, 269, 5562, 318, 2651, 815, 1582, 269, 2651, 318, 718, 5091, 823, 318, 28785, 4590, 1038, 1948, 2132, 1582, 269, 5562, 318, 2651, 692, 825, 1219, 20618, 24417, 2737, 4311, 2187, 1038, 1948, 11754, 18062, 547, 20618, 10734, 3089, 564, 454, 1038, 1948, 300, 755, 581, 476, 272, 543, 513, 476, 275, 711, 1079, 476, 272, 781, 610, 1079, 476, 275, 781, 454, 1038, 1948, 5591, 811, 982, 1079, 18062, 538, 713, 19943, 454, 1038, 585, 5884, 538, 1582, 269, 5562, 318, 2651, 912, 2018, 952, 1582, 18994, 318, 23974, 1881, 10031, 3546, 2736, 454, 2018, 952, 5884, 538, 1496, 272, 267, 275, 316, 543, 711, 5884, 538, 1582, 269, 23974, 1518, 10734, 3089, 564, 912, 3546, 1582, 269, 23974, 1518, 10734, 3089, 564, 6910, 5560, 773, 994, 3546, 1582, 269, 5562, 318, 2651, 31927, 5560, 773, 994, 3546, 1582, 269, 5562, 318 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 2230, 1570, 2443, 602, 949, 581, 513, 3368, 513, 18797, 8807, 633, 2929, 5195, 538, 14606, 2443, 16881, 1100, 8594, 547, 519, 1158, 267, 2943, 568, 513, 1390, 581, 1641, 547, 4603, 609, 513, 1007, 1982, 707, 949, 1134, 627, 871, 513, 5906, 20503, 2476, 689, 552, 26247, 267, 3173, 1867, 269, 681, 4575, 593, 519, 1668, 13355, 20503, 476, 1708, 273, 570, 291, 1034, 2693, 2095, 14606, 1085, 3320, 693, 519, 267, 811, 2143, 3379, 547, 519, 22966, 17155, 9682, 269, 7102, 20503, 267, 476, 1708, 273, 570, 291, 267, 568, 1175, 827, 519, 21092, 1022, 1668, 543, 568, 476, 1789, 3723, 1390, 267, 9944, 6054, 26809, 538, 808, 12195, 269, 7102, 20503, 568, 2693, 547, 6908, 6833, 1778, 593, 513, 32049, 569, 7404, 519, 6835, 3823, 476, 4391, 273, 267, 1822, 21240, 563, 268, 645, 2940, 987, 8331, 267, 30563, 616, 3622, 3504, 4055, 6299, 1076, 267, 5265, 13897, 267, 14222, 1369, 519, 4505, 19349, 538, 938, 3859, 1062, 607, 1454, 607, 2185, 4732, 1460, 547, 5216, 5479, 9489, 538, 519, 2250, 563, 268, 4256, 21092, 729, 875, 2462, 11683, 18148, 685, 16383, 942, 795, 17064, 543, 9811, 621, 1185, 1158, 593, 513, 5873, 628, 5473, 561, 267, 1822, 332, 874, 563, 268, 769, 5758, 519, 4890, 14606, 1175, 1522, 16102, 3294, 607, 10353, 547, 519, 2947, 28902, 20503, 3177, 476, 277, 3275, 685, 1294, 855, 835, 3364, 8273, 568, 2469, 547, 581, 3564, 6999, 563, 268, 18641, 267, 14606, 568, 693, 4642, 519, 4960, 540, 707, 3032, 659, 569, 338, 6193, 20503, 11605, 17640, 547, 693, 519, 1360, 2547, 519, 476, 273, 526, 835, 4627, 1032, 267, 8331, 6811, 563, 268, 8331, 667, 11286, 2119, 856, 1185, 1044, 13006, 676, 1259, 540, 513, 2370, 7649, 9682, 593, 1018, 3357, 513, 667, 11286, 14361, 593, 519, 1507, 20503, 17435, 6973, 657, 563, 268, 2060, 519, 4541, 779, 6574, 24985, 267, 19936, 5001, 17477, 547, 3950, 476, 1708, 272, 11520, 290, 3781, 569, 563, 268, 901, 3896, 5063, 6594, 519, 4960, 540, 562, 644, 3101, 513, 1390, 20503, 1259, 909, 609, 16140, 563, 291, 11286, 7745, 2786, 883, 17435, 6973, 657, 543, 6707, 4179, 2517, 326, 6504, 560, 2292, 322, 9127, 19282, 2593, 270, 7745, 1996, 1142, 824, 540, 519, 2754, 779, 476, 1321, 16923, 8608, 267, 3744, 2594, 269, 634, 14361, 2443, 602, 568, 519, 4463, 543, 8700, 540, 513, 1507, 8060, 2443, 1185, 1044, 530, 21317, 856, 267, 18562, 519, 952, 596, 723, 1044, 8694, 909, 1373, 6592, 998, 513, 512, 611, 9682, 26725, 585, 26099, 3622, 1634, 607, 700, 2975, 296, 3722, 4209, 519, 1880, 911, 6150, 1379, 532, 269, 8616, 267, 952, 519, 20503, 2731, 1281, 2965, 3914, 3618, 267, 3152, 24187, 786, 581, 12913, 593, 519, 6989, 513, 1732, 4620, 1503, 786, 581, 25793, 14414, 269, 589, 13304, 8686, 770, 20503, 267, 585, 3236, 267, 1705, 11605, 16140, 593, 519, 26428, 540, 1472, 476, 4366, 267, 18231, 21240, 3108, 563, 301, 14505, 6611, 343, 24415, 935, 5216, 1849, 12494, 2561, 10187, 2299, 1234, 548, 1162, 454, 12179, 3750, 4252, 540, 1142, 835, 1843, 568, 2965, 5462, 689, 2348, 519, 4212, 11057, 2619, 17031, 1747, 519, 4890, 1655, 17015, 519, 4890, 2647, 1930, 6898, 267, 602, 1974, 476, 1911, 271, 338, 540, 25057, 17031, 1279, 942, 610, 1256, 1896, 1296, 269, 9406, 1631, 267, 649, 1631, 723, 20085, 476, 2767, 267, 1822, 6168, 6874, 518, 1778, 2472, 540, 938, 533, 341, 10540, 1756, 267, 476, 8660, 272, 538, 799, 4991, 547, 17646, 5006, 519, 9838, 4990, 540, 1317, 9894, 2096, 657, 267, 10964, 578, 8331, 269, 1677, 2327, 602, 606, 20503, 610, 28661, 1373, 9833, 513, 1007, 14033, 268, 3383, 559, 6221, 267, 621, 786, 2097, 689, 476, 6344, 269, 278, 1990, 11669, 5195, 538, 938, 4541, 269, 634, 2319, 519, 3845, 3330, 2923, 538, 13628, 556, 3438, 730, 1318, 1934, 5749, 1406, 1022, 4220, 540, 606, 20503, 799, 949, 1267, 538, 1713, 949, 1335, 3330, 519, 31302, 14232, 267, 799, 799, 568, 1344, 593, 607, 513, 13473, 269, 589, 1007, 8116, 779, 3804, 814, 711, 1044, 547, 2736, 1022, 20503, 2705, 6460, 741, 3440, 1100, 1447, 982, 9894, 2096, 657, 7850, 799, 621, 3986, 906, 1312, 540, 519, 4807, 779, 24551, 269, 17435, 6973, 657, 29349, 513, 1434, 3440, 513, 5934, 540, 9894, 2096, 657, 538, 476, 1321, 3108, 543, 1376, 17288, 2947, 3764, 282, 8331, 2115, 513, 1007, 952, 707, 31014, 557, 1044, 2110, 839, 741, 1880, 11497, 609, 476, 1428, 4559, 563, 301, 14505, 23670, 1080, 2334, 8164, 589, 1390, 589, 3122, 1355, 21784, 839, 16140, 267, 898, 779, 711, 594, 1223, 13079, 1393, 3204, 8973, 621, 454, 763, 5354, 540, 2673, 547, 8566, 1037, 5370, 2322, 593, 25057, 519, 2322, 593, 6557, 4394, 5397, 873, 711, 2484, 689, 6833, 1778, 267, 917, 940, 602, 1253, 677, 3274, 1100, 1761, 585, 795, 27117, 267, 18562, 3368, 519, 2856, 1107, 1572, 6148, 20715, 30563, 1107, 11129, 547, 723, 2799, 7156, 269, 12989, 2472, 616, 3622, 6444, 607, 30563, 799, 723, 1044, 693, 519, 2547, 5111, 476, 29121, 3952, 538, 2450, 609, 25057, 519, 1880, 3142, 873, 607, 2282, 607, 609, 476, 275, 19544, 2788, 513, 18797, 2929, 14143, 630, 324, 697, 8807, 633, 2929, 5195, 264, 5473, 14606, 685, 16383, 3750, 4252, 1369, 519, 5620, 1187, 269, 595, 20911, 5308, 11179, 21697, 1175, 827, 1022, 7074, 2673, 547, 8566, 1037, 2472, 547, 6218, 519, 9983, 2990, 789, 1223, 6335, 269, 634, 1761, 1981, 540, 513, 5458, 2230, 4496, 28069, 18644, 4469, 3233, 568, 519, 1034, 3020, 2243, 519, 4890, 12592, 8331, 952, 596, 991, 547, 30134, 741, 1378, 667, 11286, 1184, 10704, 593, 14603, 26301, 1022, 14361, 538, 547, 519, 20503, 547, 1294, 952, 1775, 666, 1689, 1010, 610, 1200, 2619, 269, 1403, 519, 1449, 856, 1281, 1010, 610, 1200, 519, 6662, 540, 22212, 519, 2619, 540, 513, 1007, 20503, 267, 707, 1560, 949, 1831, 513, 1007, 4052, 1727, 677, 6541, 585, 4469, 3233, 547, 12404, 2933, 693, 519, 5906, 8631, 4767, 2262, 909, 543, 1524, 585, 519, 8608, 19952, 563, 288, 3122, 1355, 7745, 2453, 267, 635, 1115, 267, 543, 20006, 14368, 6950, 602, 616, 2356, 896, 476, 274, 19462, 538, 2450, 1522, 5734, 519, 3618, 779, 2011, 543, 2253, 540, 7279, 621, 666, 269, 589, 6263, 2705, 5310, 5739, 20503, 666, 581, 10707, 2509, 519, 14606, 693, 713, 4090, 269, 21362, 1229, 17031, 12514, 540, 707, 3787, 7649, 9682, 26725, 585, 26099, 267, 799, 729, 1022, 14361, 685, 619, 639, 10344, 3937, 1634, 607, 13306, 306, 2969, 700, 2975, 296, 3722, 4209, 2073, 814, 1044, 30275, 539, 538, 519, 667, 11286, 14361, 543, 2253, 7153, 621, 666, 267, 827, 1614, 4559, 1379, 532, 267, 547, 519, 6263, 20503, 17435, 6973, 657, 563, 8072, 4407, 4642, 13006, 20503, 3677, 982, 476, 9610, 544, 538, 7516, 814, 513, 1713, 4960, 547, 13351, 16140, 585, 519, 1985, 2540, 267, 1152, 827, 476, 1839, 2600, 540, 891, 30563, 723, 1044, 1336, 952, 596, 1616, 547, 4266, 267, 327, 11535, 8331, 711, 5874, 269, 1403, 621, 13351, 17435, 6973, 657, 267, 1022, 835, 267, 13975, 13362, 667, 11286, 14361, 12012, 519, 2557, 540, 519, 4496, 538, 3368, 1022, 2600, 267, 1360, 2147, 547, 950, 513, 20726, 4212, 11564, 513, 12902, 2879, 809, 518, 1449, 529, 269, 1809, 3006, 649, 2965, 27464, 2312, 540, 513, 2104, 14022, 3042, 18484, 952, 649, 2938, 606, 7357, 4055, 1570, 9859, 835, 540, 938, 1454, 286, 25357, 15697, 779, 11629, 1116, 3194, 543, 20006, 13012, 15503, 267, 1744, 2526, 328, 4279, 652, 267, 5654, 693, 563, 15124, 652, 9980, 790, 1158, 454, 288, 667, 11286, 1587, 568, 3648, 1507, 3379, 547, 17435, 6973, 657, 267, 543, 7429, 689, 968, 30265, 3042, 18484, 2223, 519, 2497, 568, 4440, 711, 547, 11207, 5945, 621, 1281, 267, 855, 2864, 968, 17647, 513, 6263, 7708, 339, 1848, 1809, 19249, 606, 20503, 779, 8608, 998, 513, 2582, 260, 568, 2469, 547, 581, 2614, 952, 835, 8604, 9859, 4464, 547, 4469, 3233, 267, 8331, 3413, 8787, 269, 1284, 723, 909, 547, 476, 736, 610, 865, 267, 1822, 827, 8566, 1037, 5370, 538, 938, 3141, 1982, 267, 9944, 8331, 267, 1344, 789, 2097, 538, 476, 6344, 4318, 697, 2929, 5195, 540, 938, 3003, 1158, 269, 634, 835, 1880, 267, 18605, 1790, 895, 3751, 589, 3122, 1355, 4414, 3925, 4530, 856, 14361, 267, 610, 5310, 667, 11286, 267, 2458, 3660, 538, 519, 22150, 476, 1691, 1532, 11669, 1673, 14373, 267, 476, 26392, 20356, 268, 2169, 2105, 20503, 17435, 6973, 657, 689, 1896, 267, 1822, 5195, 12656, 16923, 607, 1454, 607, 811, 2500, 18265, 5195, 689, 6833, 1778, 269, 9122, 593, 519, 1606, 330, 625, 3820, 267, 513, 589, 3122, 1355, 476, 1708, 273, 17241, 276, 568, 835, 540, 519, 21011, 1297, 540, 30563, 563, 8967, 17202, 6634, 540, 942, 267, 741, 1880, 8608, 8694, 909, 1373, 4957, 3274, 676, 519, 14965, 1764, 540, 1804, 2872, 338, 1247, 18347, 865, 621, 4061, 25057, 519, 3141, 6251, 952, 596, 991, 547, 14606, 269, 1924, 267, 7442, 2684, 529, 8813, 883, 519, 519, 827, 8566, 1037, 20503, 267, 711, 513, 1883, 30559, 909, 1996, 20503, 269, 634, 20771, 3255, 5473, 2673, 547, 268, 3383, 559, 5370, 2039, 689, 8638, 538, 519, 9741, 2622, 12729, 267, 1022, 5001, 4767, 21757, 5264, 17640, 547, 512, 611, 6879, 1901, 3381, 18921, 7403, 269, 1452, 3877, 568, 2965, 4607, 689, 2616, 14898, 593, 519, 4541, 267, 585, 3236, 1713, 3646, 693, 15964, 27423, 4966, 269, 0, 308, 2529, 269, 31048, 517, 4937, 3220, 269, 966, 633, 330, 12653, 20321, 5950, 513, 1867, 713, 3923, 5466, 519, 4182, 779, 20420, 15435, 269, 898, 568, 2404, 609, 513, 968, 24030, 518, 1981, 540, 9025, 2068, 267, 12110, 267, 8482, 267, 4965, 267, 4160, 267, 543, 16349, 2669, 2223, 646, 5206, 269, 1261, 849, 7074, 519, 9019, 1764, 540, 1514, 10072, 568, 2147, 547, 602, 968, 8619, 4310, 676, 7296, 909, 547, 476, 1428, 13189, 513, 1554, 543, 1256, 3152, 982, 602, 2404, 609, 8377, 543, 2168, 538, 13808, 3034, 308, 526, 16040, 267, 713, 15435, 568, 513, 27621, 762, 6433, 2066, 782, 6106, 540, 2486, 267, 689, 3506, 547, 28737, 543, 10820, 563, 293, 6136, 267, 2799, 4656, 1472, 2790, 1072, 814, 5189, 1713, 5647, 543, 5092, 883, 1007, 14319, 543, 2126, 23857, 269, 2290, 971, 3209, 1523, 543, 11556, 568, 519, 946, 540, 5841, 4987, 547, 948, 8207, 519, 5571, 6433, 269, 1717, 267, 1247, 3642, 949, 5732, 1683, 1713, 2640, 267, 3048, 2209, 543, 14519, 1131, 581, 8797, 547, 9784, 621, 15891, 13124, 267, 1813, 547, 922, 7915, 1981, 563, 4415, 519, 4417, 540, 30462, 3642, 267, 17187, 3642, 543, 2067, 1893, 4393, 267, 519, 2219, 540, 1210, 5841, 4987, 1949, 547, 1683, 1480, 31070, 814, 1631, 1831, 13416, 563, 11386, 13192, 267, 799, 568, 693, 519, 21282, 540, 3384, 27249, 3642, 3435, 267, 2488, 606, 538, 3829, 2079, 540, 1018, 17187, 3642, 2731, 568, 281, 2067, 1893, 4393, 543, 3684, 1565, 6620, 616, 1031, 547, 5721, 1949, 593, 1804, 5666, 540, 1239, 267, 1519, 1257, 543, 4633, 269, 2060, 2614, 2866, 267, 519, 1949, 666, 5555, 1174, 543, 1184, 1480, 1893, 267, 543, 4431, 9935, 269, 1306, 891, 1949, 7683, 1451, 689, 4797, 4205, 543, 811, 1239, 267, 789, 666, 2087, 741, 3210, 2298, 6923, 267, 936, 942, 563, 1607, 1797, 602, 609, 2614, 1239, 267, 2866, 543, 4205, 267, 621, 568, 1369, 519, 9165, 540, 26363, 4641, 602, 891, 1949, 666, 711, 1152, 21613, 1480, 1893, 267, 855, 789, 949, 5555, 8415, 17542, 540, 1239, 2798, 543, 2963, 2861, 4808, 547, 5732, 1683, 2564, 5796, 543, 3797, 563, 308, 526, 16040, 267, 3549, 971, 607, 5616, 267, 8835, 543, 9786, 616, 10115, 17542, 540, 9489, 538, 713, 1360, 2029, 267, 16734, 602, 789, 616, 1175, 3800, 2476, 689, 7654, 18187, 908, 1480, 1893, 543, 6643, 269, 4495, 891, 3549, 666, 3501, 713, 267, 519, 1761, 568, 19957, 281, 3388, 689, 6075, 3028, 547, 31070, 543, 1480, 3347, 666, 1831, 3642, 9141, 563, 1103, 1249, 267, 972, 616, 2907, 4693, 1949, 602, 2291, 269, 6875, 585, 1383, 13100, 267, 513, 2123, 5841, 4987, 1062, 2919, 676, 519, 2754, 5606, 3005, 3642, 269, 13100, 968, 13195, 2813, 547, 2285, 1004, 513, 1007, 1259, 547, 2769, 2933, 267, 2671, 741, 1225, 3930, 885, 267, 2263, 1007, 2093, 543, 1995, 513, 11967, 2123, 3642, 3034, 300, 755, 2378, 320, 590, 2544, 344, 2006, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8523, 11549, 4548, 543, 16150, 9248, 666, 849, 1599, 607, 4609, 540, 4187, 543, 1016, 11437, 269, 6333, 267, 585, 3236, 267, 519, 960, 540, 15594, 7376, 26795, 14472, 2401, 267, 4171, 2584, 558, 2632, 1137, 9192, 3261, 730, 2592, 689, 10229, 11044, 543, 2527, 2923, 609, 1688, 25740, 5931, 543, 16555, 269, 769, 1568, 899, 5600, 27202, 281, 20780, 532, 519, 2782, 5851, 630, 3422, 278, 268, 7761, 1070, 14472, 2401, 31886, 519, 16809, 540, 6469, 1025, 1170, 15469, 676, 7082, 2528, 267, 5104, 868, 777, 3151, 7329, 22690, 545, 26007, 540, 1647, 11665, 5321, 609, 27615, 13135, 2592, 540, 5208, 543, 13137, 269, 1635, 9308, 19249, 543, 11028, 3667, 783, 1944, 891, 5432, 2592, 267, 14472, 2401, 2591, 13588, 547, 2243, 519, 10054, 543, 2418, 11251, 1369, 873, 780, 8170, 1576, 267, 519, 5137, 540, 8523, 11549, 4548, 543, 16150, 9248, 568, 711, 3908, 547, 3318, 5159, 282, 8197, 267, 1082, 1004, 4497, 538, 930, 1106, 540, 2123, 2895, 1516, 2429, 741, 2729, 269, 1717, 267, 676, 16042, 713, 2534, 609, 9837, 543, 5876, 267, 1256, 23153, 9439, 666, 3132, 8903, 543, 5499, 1568, 540, 1148, 269, 2290, 991, 1152, 1413, 547, 2228, 5867, 899, 17749, 610, 26964, 547, 1294, 9118, 1806, 540, 2043, 1210, 10344, 267, 2458, 720, 267, 543, 824, 3308, 2553, 547, 3561, 741, 2729, 543, 2769, 741, 9163, 269, 5047, 267, 607, 3059, 4066, 3136, 547, 2981, 519, 1259, 649, 1711, 267, 4558, 267, 543, 2671, 1344, 267, 621, 3587, 5051, 1271, 585, 721, 547, 2015, 519, 5683, 6286, 540, 891, 2853, 543, 519, 9021, 649, 7703, 607, 12403, 1841, 540, 938, 1378, 12583, 780, 4415, 891, 2093, 538, 2247, 267, 1577, 721, 1631, 2490, 547, 513, 2013, 1353, 602, 28837, 1082, 540, 519, 4798, 5941, 1657, 281, 519, 8523, 17581, 540, 30370, 31144, 543, 27211, 16026, 267, 13886, 834, 763, 3689, 15248, 543, 2725, 257, 630, 2735, 280, 1040, 23095, 2282, 519, 1439, 540, 31144, 781, 24164, 267, 713, 20662, 880, 569, 3812, 1433, 2934, 7366, 540, 2681, 11147, 3144, 1282, 1010, 26022, 538, 5604, 267, 954, 4944, 619, 539, 609, 1688, 25740, 3061, 687, 543, 23278, 4925, 4050, 2740, 676, 1312, 1234, 698, 753, 269, 3245, 606, 7499, 29459, 267, 519, 17581, 20502, 1896, 10689, 12201, 540, 519, 9135, 267, 1519, 922, 1445, 593, 2123, 2239, 267, 922, 946, 540, 11052, 547, 18427, 7553, 543, 5790, 267, 543, 922, 6297, 3666, 1063, 1857, 1268, 320, 543, 4357, 1995, 269, 3958, 267, 519, 17581, 3091, 5813, 883, 519, 6384, 540, 28910, 6214, 267, 9870, 2055, 827, 519, 2078, 1063, 3239, 6194, 543, 2797, 1379, 780, 2026, 649, 4983, 834, 763, 3689, 15248, 543, 2725, 2437, 972, 616, 1896, 1883, 3344, 4502, 3695, 538, 3152, 3178, 269, 3689, 267, 2015, 519, 1909, 540, 5698, 538, 519, 5137, 540, 519, 17581, 269, 4014, 27211, 16026, 31144, 1705, 711, 1491, 519, 5354, 540, 519, 11147, 9887, 267, 1352, 5129, 513, 1713, 1909, 538, 5935, 519, 3803, 1587, 267, 8939, 543, 25786, 519, 2592, 267, 1603, 3061, 687, 267, 543, 5356, 5955, 593, 1374, 5079, 269, 901, 1377, 540, 9525, 14753, 547, 519, 2956, 540, 11450, 543, 8994, 1489, 538, 3811, 7499, 21769, 267, 607, 1134, 607, 519, 1871, 540, 2789, 5380, 538, 2870, 3638, 543, 13857, 1568, 780, 13553, 267, 4063, 519, 2081, 538, 799, 519, 17581, 18271, 3308, 20116, 547, 4020, 543, 12927, 1880, 12496, 540, 4641, 269, 10801, 519, 1433, 267, 519, 1234, 698, 753, 616, 9846, 13269, 538, 1166, 30568, 267, 4998, 1242, 2474, 267, 11303, 676, 740, 1681, 24921, 543, 10627, 1117, 538, 2571, 267, 3636, 1769, 269, 6270, 2994, 616, 711, 2189, 547, 713, 1788, 282, 2864, 267, 789, 2992, 6626, 3466, 538, 17855, 10344, 543, 3308, 9423, 602, 4266, 1394, 5553, 269, 1635, 6313, 875, 891, 14908, 616, 6964, 538, 519, 3028, 540, 1582, 1790, 19948, 543, 7242, 20671, 267, 1053, 666, 11349, 2565, 7924, 1983, 602, 786, 948, 873, 6330, 519, 1950, 5251, 540, 25358, 2792, 780, 7661, 267, 2015, 519, 1570, 7907, 540, 519, 17581, 3294, 267, 9878, 1880, 3007, 547, 2152, 540, 2504, 267, 3892, 267, 543, 21200, 269, 1215, 1281, 519, 2168, 3898, 540, 519, 1433, 3310, 938, 2542, 540, 922, 9115, 286, 1548, 6835, 798, 519, 2450, 267, 2597, 267, 543, 9403, 540, 519, 1843, 5968, 547, 3988, 267, 543, 875, 1522, 891, 2188, 3337, 938, 6788, 543, 6114, 286, 1635, 2502, 609, 891, 2055, 267, 1053, 786, 15052, 741, 1620, 540, 519, 6946, 4296, 1063, 1106, 543, 1543, 267, 15312, 543, 2495, 780, 16352, 8268, 519, 1523, 540, 8523, 11549, 4548, 543, 16150, 9248, 538, 3069, 543, 2259, 267, 1053, 1058, 1631, 1745, 9280, 547, 7832, 593, 741, 1378, 3860, 3785, 269, 1677, 7520, 713, 1184, 267, 519, 1739, 5751, 616, 6700, 1384, 272, 269, 8073, 513, 20538, 8523, 17581, 6273, 676, 519, 960, 540, 2961, 4471, 631, 2801, 1284, 2114, 269, 4635, 513, 1507, 21641, 610, 17250, 25247, 267, 29289, 513, 3126, 540, 2592, 602, 4161, 8789, 11475, 543, 11269, 540, 5198, 267, 4008, 267, 1362, 267, 610, 14920, 269, 6452, 558, 11952, 1142, 3239, 609, 513, 5618, 1309, 1632, 610, 14391, 566, 602, 2488, 3606, 2796, 610, 7664, 563, 273, 269, 15331, 609, 4244, 2409, 540, 3239, 6194, 267, 5373, 6667, 689, 5159, 899, 17555, 2311, 9469, 543, 4168, 3057, 743, 599, 269, 22982, 2553, 971, 607, 19826, 9189, 8228, 267, 2458, 720, 267, 610, 1336, 22089, 11049, 547, 1711, 513, 3308, 21287, 540, 2123, 610, 18497, 8823, 269, 14484, 593, 519, 2081, 538, 799, 891, 3157, 1860, 707, 2078, 547, 519, 2707, 1570, 543, 519, 10096, 596, 14487, 547, 621, 563, 274, 269, 5071, 513, 3382, 585, 513, 19858, 8523, 17581, 610, 16150, 1504, 602, 6054, 513, 1713, 2680, 610, 7432, 1448, 538, 707, 1272, 269, 6333, 875, 1462, 2762, 267, 2681, 10325, 267, 11768, 267, 543, 824, 21370, 2609, 666, 581, 1031, 547, 6655, 7099, 267, 3159, 267, 543, 6249, 269, 8571, 2390, 6436, 540, 3308, 20116, 543, 10388, 1374, 547, 1118, 18532, 5079, 827, 519, 6835, 596, 6999, 547, 5968, 780, 9961, 713, 1770, 267, 649, 723, 8179, 547, 22113, 519, 1585, 7516, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2108, 1692, 1279, 723, 596, 1044, 1927, 9495, 519, 7820, 7008, 4280, 27050, 543, 803, 563, 2108, 23562, 4868, 26690, 1296, 2223, 649, 12943, 563, 2108, 32452, 17373, 789, 1767, 269, 1358, 8910, 1044, 538, 2648, 585, 5722, 3275, 543, 938, 5756, 17489, 15832, 1590, 723, 8604, 16678, 543, 5594, 796, 29207, 15344, 563, 18658, 616, 519, 11580, 540, 513, 1434, 2078, 9495, 789, 4280, 269, 968, 8923, 2671, 707, 7326, 3034, 5575, 267, 27050, 543, 594, 1666, 330, 539, 538, 519, 2856, 602, 1079, 1004, 5156, 649, 22234, 4890, 7326, 256, 3973, 649, 3838, 938, 4030, 563, 1692, 1284, 3231, 2740, 827, 11146, 454, 5978, 4030, 3357, 689, 3395, 607, 2043, 543, 607, 513, 7008, 1282, 938, 8748, 1279, 2078, 543, 689, 4505, 3347, 602, 1185, 5280, 721, 1831, 938, 3020, 30441, 269, 1284, 849, 4121, 689, 8384, 938, 3237, 2226, 741, 3347, 538, 519, 3068, 540, 12110, 563, 2691, 27050, 779, 4651, 7671, 729, 538, 513, 3965, 1416, 1770, 267, 27050, 779, 3158, 631, 3326, 773, 5143, 1200, 9393, 267, 968, 296, 2648, 596, 865, 1454, 1848, 7671, 14452, 267, 968, 8253, 607, 1454, 607, 594, 2648, 596, 256, 1848, 8409, 941, 930, 540, 7671, 779, 2063, 1913, 543, 602, 4845, 18423, 609, 631, 3326, 773, 998, 543, 3564, 1200, 20494, 9109, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21900, 1748, 19186, 4548, 543, 2480, 1905, 9248, 257, 607, 851, 540, 834, 11286, 1315, 10572, 20551, 1315, 20551, 262, 7734, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 27986, 7087, 24447, 262, 9406, 547, 7849, 8249, 692, 5331, 596, 4866, 547, 513, 1895, 540, 1004, 945, 723, 5030, 538, 513, 1978, 1747, 585, 7366, 267, 952, 711, 5215, 267, 540, 1296, 269, 1411, 4096, 593, 519, 2244, 543, 922, 2200, 585, 707, 6668, 267, 2528, 267, 543, 1259, 540, 1272, 269, 1809, 1287, 267, 1866, 2097, 2059, 945, 1616, 547, 946, 1346, 1482, 2200, 585, 741, 1378, 5301, 269, 901, 814, 1044, 513, 4161, 5185, 676, 1082, 6805, 9082, 782, 936, 519, 1158, 269, 1924, 875, 798, 649, 2327, 602, 891, 2950, 666, 1569, 543, 4383, 519, 2067, 2200, 789, 991, 286, 2334, 781, 1141, 1620, 7087, 24447, 262, 12754, 7126, 2501, 883, 1404, 2439, 1432, 6496, 7087, 24447, 262, 12754, 7126, 6399, 2496, 2691, 6158, 827, 7087, 24447, 262, 12754, 7126, 267, 649, 3277, 547, 519, 3656, 6284, 540, 519, 2027, 2078, 1063, 6805, 9082, 543, 741, 2757, 11182, 269, 1452, 2924, 1419, 4125, 9562, 267, 1852, 267, 1569, 547, 267, 543, 2359, 540, 3338, 267, 7297, 267, 543, 2713, 2200, 269, 1358, 849, 3382, 519, 1318, 547, 2226, 2686, 2853, 4448, 547, 891, 2127, 269, 1280, 1383, 267, 10068, 2924, 949, 1450, 6805, 2950, 547, 6952, 1808, 2010, 540, 3165, 1210, 22232, 2553, 269, 6684, 267, 10122, 2924, 5512, 873, 547, 11654, 2831, 1739, 2757, 2409, 1247, 7863, 9265, 780, 3963, 3657, 7087, 24447, 262, 12754, 7126, 12830, 2496, 2467, 616, 1896, 4128, 1946, 9301, 7087, 24447, 262, 12754, 7126, 568, 2629, 1384, 272, 269, 8836, 27834, 281, 1635, 17516, 1569, 547, 741, 18577, 3338, 267, 6805, 9082, 8190, 1898, 6402, 547, 741, 1686, 267, 5389, 267, 5289, 4978, 267, 543, 4654, 269, 901, 4276, 8309, 547, 4509, 3638, 2686, 4763, 5001, 563, 273, 269, 7025, 19731, 13734, 281, 3509, 6805, 2950, 7048, 593, 4264, 4199, 2359, 2853, 5293, 1524, 998, 5481, 269, 23779, 540, 741, 4199, 2924, 2337, 2149, 8134, 267, 8396, 2916, 1689, 267, 543, 18359, 9265, 563, 274, 269, 9483, 19662, 281, 24344, 4199, 2924, 7668, 6805, 9082, 17215, 267, 3850, 873, 547, 4324, 9425, 689, 1646, 3785, 2921, 1747, 1369, 741, 11182, 269, 901, 2640, 1312, 2199, 2950, 543, 3084, 6608, 563, 275, 269, 4317, 10456, 281, 31158, 1194, 3101, 7087, 24447, 262, 12754, 7126, 9607, 3140, 4636, 338, 8149, 1996, 5065, 5095, 1282, 17091, 543, 2518, 7269, 269, 16237, 28517, 891, 2924, 8992, 1514, 9698, 543, 10014, 780, 14300, 540, 7087, 24447, 262, 12754, 7126, 15907, 519, 2622, 692, 4131, 781, 1413, 693, 930, 11121, 1483, 3734, 1806, 540, 3811, 7087, 24447, 262, 12754, 7126, 6388, 1384, 272, 269, 8575, 553, 2967, 8092, 7126, 267, 25157, 281, 2991, 5756, 540, 6560, 267, 519, 8575, 553, 2967, 29009, 1235, 17956, 7104, 2244, 10643, 8720, 811, 982, 1079, 2929, 25614, 538, 7187, 25157, 269, 901, 9740, 28863, 741, 2189, 6197, 543, 5849, 519, 5726, 540, 2565, 7320, 9249, 563, 273, 269, 715, 529, 8615, 262, 320, 15521, 267, 4516, 281, 769, 476, 1220, 271, 267, 519, 715, 529, 8615, 262, 320, 28988, 15501, 6554, 9896, 513, 2413, 14097, 26587, 873, 9562, 540, 5111, 476, 273, 267, 1822, 4009, 12919, 540, 8513, 538, 3703, 12052, 269, 7201, 713, 6876, 267, 519, 715, 529, 8615, 262, 320, 6591, 1713, 13190, 936, 741, 3338, 543, 2200, 267, 1519, 26216, 267, 5599, 267, 1216, 267, 543, 21996, 563, 274, 269, 631, 5953, 9461, 4826, 7126, 267, 1715, 10215, 281, 11374, 3573, 16395, 267, 519, 2229, 11292, 519, 631, 5953, 9461, 1775, 342, 328, 630, 339, 1026, 525, 264, 1071, 3766, 4261, 766, 2924, 936, 15195, 4703, 543, 24232, 2200, 896, 519, 1855, 589, 11445, 570, 1575, 7699, 2920, 630, 1001, 278, 1040, 901, 9086, 26342, 519, 1733, 22462, 14241, 5211, 607, 513, 3656, 11769, 609, 922, 2924, 543, 4690, 267, 10452, 519, 2620, 5289, 6125, 1063, 519, 5757, 543, 519, 631, 5953, 9461, 1004, 780, 1103, 3932, 267, 7087, 24447, 262, 12754, 7126, 2339, 1317, 789, 948, 2149, 2686, 6561, 267, 3895, 2825, 19642, 267, 6536, 2804, 3255, 267, 543, 4434, 1514, 5126, 269, 2913, 721, 11441, 2509, 3152, 4656 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15869, 618, 2496, 293, 756, 20906, 1427, 15869, 618, 568, 711, 513, 6325, 2930, 13525, 269, 1879, 4294, 547, 6006, 12125, 267, 621, 1419, 12958, 7301, 6786, 543, 666, 6556, 31877, 2164, 269, 2060, 606, 3328, 476, 6858, 260, 5821, 2557, 267, 649, 4363, 602, 596, 2057, 1210, 25828, 4825, 15869, 618, 15587, 3079, 1445, 593, 9256, 824, 10832, 609, 3280, 4909, 2079, 780, 13010, 267, 25828, 4825, 15869, 618, 568, 1759, 593, 519, 1582, 268, 995, 325, 3739, 28897, 1107, 18318, 786, 1491, 7158, 950, 789, 1294, 513, 1489, 610, 4187, 1377, 693, 513, 25828, 1377, 267, 3976, 2870, 519, 1360, 3364, 789, 616, 3168, 585, 269, 1809, 952, 711, 2614, 18318, 946, 713, 17528, 13525, 267, 621, 14543, 547, 581, 1582, 268, 995, 325, 3739, 269, 4475, 267, 621, 814, 1100, 1871, 780, 2171, 4363, 25828, 4825, 15869, 618, 1058, 581, 1031, 15891, 13124, 610, 711, 693, 782, 780, 1012, 4208, 25828, 14938, 1878, 1684, 3502, 4518, 538, 29665, 692, 763, 25828, 4825, 15869, 618, 1907, 568, 11786, 538, 9467, 267, 543, 1082, 18318, 3494, 621, 1281, 711, 960, 269, 2755, 519, 25828, 5311, 543, 824, 6310, 3270, 666, 581, 1336, 538, 6990, 267, 789, 616, 711, 6325, 2614, 547, 3490, 9467, 3664, 593, 269, 3509, 2188, 267, 1519, 2804, 3377, 267, 2797, 2621, 267, 543, 2344, 18941, 267, 3310, 6990, 269, 1452, 2188, 666, 3533, 1689, 519, 7678, 267, 1818, 519, 25828, 1427, 15869, 618, 2157, 13061, 780, 1012, 4208, 29665, 25828, 568, 513, 8682, 268, 995, 325, 3739, 11330, 515, 1097, 692, 7661, 267, 519, 1292, 3390, 609, 1210, 25828, 4825, 15869, 618, 538, 9467, 568, 602, 621, 568, 513, 1582, 268, 995, 325, 3739, 28897, 269, 634, 811, 18318, 946, 519, 25828, 2157, 267, 519, 811, 789, 1831, 1713, 585, 18318, 267, 799, 5012, 547, 519, 2344, 32232, 1472, 1346, 2157, 269, 898, 568, 1271, 547, 3314, 602, 519, 6990, 616, 20437, 267, 543, 1022, 4480, 6964, 1058, 581, 1031, 15891, 13124, 780, 1012, 4208, 25828, 570, 2784, 902, 8682, 6363, 5285, 3739, 11330, 515, 1097, 568, 513, 12096, 2329, 692, 763, 3069, 568, 602, 952, 9467, 25828, 1427, 15869, 618, 729, 513, 1582, 268, 995, 325, 3739, 28897, 267, 938, 4255, 543, 519, 2164, 540, 519, 476, 1556, 4081, 4574, 649, 11855, 1131, 5815, 602, 713, 13525, 1185, 513, 1164, 1967, 2557, 269, 1703, 616, 1152, 1079, 3137, 585, 713, 269, 17616, 267, 711, 2614, 18318, 616, 1210, 25828, 538, 9467, 269, 19627, 267, 1082, 18318, 946, 621, 855, 798, 711, 3972, 621, 547, 1118, 9467, 3664, 269, 23657, 1259, 267, 519, 1249, 3788, 602, 713, 13525, 1281, 711, 960, 780, 763, 7145, 540, 9467, 1210, 25828, 1427, 15869, 906, 568, 8268, 14916, 538, 519, 2883, 3332, 269, 1717, 267, 621, 779, 1271, 547, 4063, 602, 519, 2164, 616, 6404, 269, 594, 723, 16432, 513, 1592, 540, 5007, 4081, 543, 2872, 4574, 865, 596, 666, 2708, 2436, 547, 946, 25828, 780, 272, 269, 589, 12985, 3408, 540, 519, 12117, 540, 25828, 14938, 1878, 538, 2930, 2079, 543, 9467, 6920, 513, 1978, 1377, 540, 16726, 609, 519, 25828, 2338, 1031, 676, 18318, 543, 5750, 1235, 945, 12167, 585, 25828, 1427, 15869, 906, 476, 272, 563, 273, 269, 3194, 593, 519, 6388, 540, 25828, 1427, 15869, 906, 543, 12825, 3001, 3328, 630, 4932, 288, 264, 9467, 4640, 538, 519, 12868, 14351, 16510, 1336, 713, 9467, 4640, 547, 581, 2500, 476, 273, 563, 274, 269, 1717, 267, 513, 1353, 593, 1648, 21888, 19728, 543, 3056, 2475, 1648, 6006, 5777, 1336, 602, 25828, 1427, 15869, 618, 568, 711, 606, 2500, 9467, 2203, 585, 891, 1808, 6990, 476, 274, 563, 275, 269, 1323, 700, 24278, 2861, 3375, 1489, 1062, 585, 18711, 9467, 538, 519, 6006, 2344, 3964, 519, 12117, 540, 519, 25828, 1427, 15869, 618, 538, 8159, 1455, 19114, 585, 6006, 25483, 476, 275, 563, 276, 269, 1323, 6514, 540, 519, 1764, 540, 25828, 4825, 15869, 618, 547, 9472, 519, 1489, 543, 4187, 540, 2824, 4095, 853, 4169, 543, 1473, 1182, 849, 4951, 930, 12117, 540, 25828, 538, 1114, 942, 14604, 540, 9467, 538, 519, 6006, 2344, 476, 276, 563, 277, 269, 1323, 1859, 13011, 1449, 585, 25828, 4825, 15869, 906, 6700, 602, 9520, 1223, 946, 519, 1449, 547, 3313, 519, 1761, 20656, 540, 2930, 9467, 3652, 476, 277, 563, 278, 269, 1323, 12170, 1353, 689, 1614, 9698, 6990, 593, 13128, 8446, 543, 6268, 540, 25828, 1427, 15869, 906, 8947, 922, 7145, 607, 513, 2930, 9467, 4341, 476, 278, 563, 279, 269, 589, 3391, 593, 1210, 25828, 1427, 15869, 618, 547, 3589, 519, 2062, 343, 2344, 5267, 602, 5983, 343, 267, 13632, 267, 20304, 267, 543, 21113, 666, 782, 581, 21775, 1210, 519, 25828, 1427, 15869, 618, 476, 279, 563, 280, 269, 589, 1353, 593, 519, 7145, 540, 7299, 25828, 1427, 15869, 906, 543, 24909, 2066, 2101, 30455, 4797, 547, 2263, 519, 1967, 540, 25828, 1427, 15869, 906, 538, 2883, 6990, 476, 280, 563, 1015, 269, 7053, 267, 513, 1957, 593, 25828, 4825, 15869, 906, 543, 8682, 6363, 5285, 3739, 11330, 515, 1097, 5941, 875, 18318, 946, 25828, 1427, 15869, 906, 547, 3589, 7678, 954, 8306, 2798, 267, 11021, 513, 1582, 268, 995, 325, 3739, 28897, 6422, 476, 1015, 780, 15987, 891, 2090, 1683, 8795, 2164, 267, 789, 2992, 519, 3309, 3498, 543, 1761, 540, 25828, 1427, 15869, 906, 538, 1114, 6990, 543, 3871, 269, 898, 779, 2629, 547, 2015, 891, 2188, 950, 7311, 971, 513, 4480, 780, 1012, 14174, 304, 692, 2162, 1548, 568, 519, 1655, 3301, 585, 25828, 9467, 2496, 763, 1655, 3301, 585, 25828, 9467, 568, 29665, 8698, 269, 29665, 8698, 814, 12747, 4806, 6284, 585, 25828, 1427, 15869, 618, 543, 10137, 267, 7132, 476, 279, 25828, 5373, 2645, 267, 1519, 1427, 15869, 618, 267, 10137, 267, 942, 7997, 267, 10178, 267, 18700, 267, 9095, 267, 543, 530, 8354, 780, 8133, 267, 25828, 1427, 15869, 618, 666, 581, 1031, 585, 12499, 1485, 9467, 269, 634, 1883, 568, 547, 2697, 1761, 1489, 543, 4187, 2157, 1759, 593, 519, 25828, 2157, 543, 1287, 946, 873, 607, 3391, 14006, 338, 267, 711, 6378, 4444, 543, 6133, 6786, 267, 607, 938, 1382, 2982, 713, 13525, 568, 31877, 780, 5591, 267, 25828, 9467, 568, 711, 606, 2500, 4640, 267, 2687, 547, 938, 4152, 269, 3776, 1382, 814, 3254, 602, 713, 1826, 540, 9467, 568, 476, 2568, 2600, 31877, 543, 1281, 711, 9846, 3132, 19311, 2164, 269, 3776, 1554, 9467, 13525, 4255, 1397, 681, 10485, 267, 1261, 1731, 523, 1306, 6062, 267, 681, 8016, 267, 543, 966, 310, 4338, 616, 1454, 811, 6325, 10832, 780, 2162, 1215, 547, 946, 25828, 2338, 538, 6006, 9467, 2496, 8196, 25828, 2338, 547, 2697, 1761, 1489, 543, 4187, 2127, 269, 6744, 25828, 2157, 593, 707, 5750, 547, 1294, 952, 789, 5447, 609, 2344, 2497, 610, 7432, 2798, 269, 6333, 1210, 891, 2157, 607, 3391, 14006, 338, 538, 707, 9467, 4640, 269, 5457, 267, 25828, 1427, 15869, 906, 616, 711, 6325, 4444, 7146, 5498, 961, 6786, 780, 2162, 1772, 25828, 2500, 538, 9467, 2496, 5591, 267, 1109, 25828, 2338, 616, 711, 6325, 9467, 10832, 269, 898, 568, 1271, 547, 3314, 602, 25828, 2338, 616, 513, 6310, 4806, 543, 666, 1405, 3589, 519, 2344, 781, 2104, 269, 2755, 621, 949, 581, 5363, 547, 946, 25828, 1427, 15869, 906, 607, 1489, 543, 4187, 2157, 267, 538, 519, 1439, 267, 621, 1869, 12346, 593, 1367, 7664, 269, 1306, 971, 267, 713, 1826, 540, 2079, 1058, 2760, 581, 2808, 513, 4444, 7146, 5498, 961, 5365, 269, 594, 692, 2162, 1772, 25828, 1434, 585, 1554, 9467, 2496, 5591, 267, 25828, 2338, 1058, 711, 581, 16941, 2390, 607, 513, 4444, 7146, 5498, 961, 5365, 585, 1554, 9467, 269, 4303, 18318, 1058, 946, 2930, 10832, 602, 948, 3313, 3761, 543, 3747, 693, 1808, 3902, 2798, 267, 711, 9589, 2067, 2338, 269, 4039, 4192, 1554, 9467, 10832, 8810, 676, 1239, 616, 681, 8016, 267, 966, 310, 4338, 267, 654, 7246, 267, 543, 681, 10485, 780, 2162, 4208, 798, 865, 1082, 7270, 4363, 25828, 9467, 2496, 763, 4950, 666, 581, 606, 16079, 12068, 282, 952, 7767, 31638, 3081, 621, 568, 1434, 267, 3025, 3116, 5205, 269, 634, 1249, 568, 1804, 7270, 899, 7767, 31638, 798, 711, 1685, 3312, 1382, 610, 4161, 519, 4567, 28943, 282, 789, 16926, 22631, 547, 2328, 23739, 2275, 13616, 4930, 780, 2162, 1548, 568, 519, 476, 8618, 269, 279, 25828, 1377, 2496, 763, 476, 271, 269, 277, 1240, 25828, 1377, 568, 513, 2442, 2930, 13525, 602, 14405, 3515, 1063, 1079, 2798, 593, 513, 5750, 2687, 547, 519, 25828, 5311, 540, 2338, 269, 634, 3069, 568, 602, 952, 519, 3902, 7575, 1657, 610, 2630, 713, 1899, 267, 621, 1223, 5815, 2344, 4222, 610, 8467, 269, 1717, 267, 713, 1058, 711, 581, 16941, 2390, 607, 606, 4977, 4444, 7146, 5498, 961, 5365, 780, 2162, 1548, 568, 519, 3017, 1063, 25828, 4825, 15869, 618, 543, 681, 10485, 2496, 763, 25828, 4825, 15869, 618, 15484, 568, 1031, 547, 2697, 2009, 1489, 543, 4187, 2157, 1282, 513, 1427, 15869, 618, 538, 3902, 269, 634, 681, 10485, 267, 593, 519, 824, 1688, 267, 568, 606, 14251, 1807, 13525, 2966, 547, 2268, 2344, 11610, 780, 2162, 1215, 547, 946, 25828, 1427, 15869, 618, 585, 18711, 9467, 2496, 5978, 1239, 5267, 596, 1058, 2057, 25828, 1427, 15869, 618, 585, 18711, 9467, 607, 621, 814, 513, 476, 2568, 2600, 5821, 2557, 269, 5502, 267, 596, 1058, 946, 681, 8016, 267, 966, 310, 4338, 267, 654, 7246, 267, 543, 670, 7246, 609, 513, 1261, 1731, 514, 1306, 6062, 5750, 267, 607, 789, 616, 7318, 693, 1657, 476, 3583, 2600, 1967, 3928, 538, 9467, 780, 5591, 267, 25828, 9467, 568, 711, 1434, 267, 543, 972, 568, 1100, 598, 5477, 2963, 547, 2303, 602, 1210, 25828, 11729, 1732, 2164, 982, 1166, 6235, 513, 11777, 269, 1306, 971, 267, 621, 1058, 711, 581, 16941, 2390, 607, 606, 4977, 4444, 7146, 5498, 961, 5365, 780, 5591, 267, 938, 4255, 1397, 25828, 9467, 568, 796, 2889, 325, 3386, 267, 607, 476, 8287, 2600, 540, 6786, 616, 7301, 269, 898, 1058, 711, 581, 16941, 2390, 585, 4444, 7146, 5498, 961, 3664, 269, 5502, 267, 18318, 1058, 946, 8810, 9467, 10832, 971, 607, 519, 28731, 23848, 12039, 630, 305, 10485, 1070, 12313, 15580, 540, 7827, 267, 610, 11730, 13379, 539, 19105, 12313, 630, 309, 310, 4338, 6393, 2162, 1684, 3318, 18318, 946, 25828, 1427, 15869, 618, 2496, 5591, 267, 1247, 1082, 7270, 2303, 25828, 568, 1031, 17618, 676, 3318, 18318, 267, 789, 616, 4636, 269, 2382, 6627, 1394, 11687, 532, 540, 25828, 8761, 621, 568, 31877, 267, 543, 4061, 1360, 1906, 3318, 18318, 1131, 6451, 621, 883, 513, 11528, 9467, 1544, 269, 25828, 568, 1152, 585, 538, 23024, 27624, 18318, 780, 2162, 6904, 3301, 814, 519, 1655, 25828, 2645, 2496, 307, 15665, 8698, 568, 519, 979, 3562, 3301, 585, 25828, 9467, 269, 4706, 4359, 12747, 25828, 4806, 6284, 543, 476, 279, 25828, 5373, 2645, 267, 1519, 1427, 15869, 618, 267, 10137, 267, 942, 7997, 267, 10178, 267, 18700, 267, 9095, 267, 543, 530, 8354, 267, 1683, 3388, 18318, 991, 780, 2791, 1616, 547, 581, 513, 3811, 6006, 20090, 855, 1810, 1406, 917, 1141, 547, 1376, 780, 13981, 6006, 2344, 10115, 593, 707, 1378, 666, 581, 11566, 269, 1703, 779, 865, 1454, 1344, 856, 972, 267, 543, 621, 779, 2182, 547, 917, 1018, 779, 3020, 543, 1018, 779, 711, 780, 299, 9200, 730, 14351, 3004, 1457, 1160, 30799, 6092, 454, 5978, 605, 10115, 5049, 616, 519, 3501, 1259, 547, 1451, 6006, 10115, 269, 1411, 786, 1451, 3388, 596, 991, 547, 917, 827, 2883, 2079, 267, 12125, 267, 6006, 9584, 267, 543, 14769, 2679, 865, 596, 666, 1376, 2679, 5763, 2221, 563, 26926, 483, 476, 1626, 25980, 540, 11473, 16497, 1341, 26496, 29477, 483, 454, 26926, 483, 13159, 11038, 5811, 16497, 29477, 483, 454, 26926, 483, 476, 277, 1160, 1597, 30799, 11150, 29477, 483, 454, 26926, 483, 12333, 6103, 14351, 15873, 5811, 26643, 29477, 483, 692, 8340, 4934, 2859, 0, 1910, 961, 16086, 692, 258, 23048, 4147, 476, 1321, 13174, 28924, 16086, 476, 1708, 275, 268, 1839, 281, 6744, 28924, 16086, 7300, 692, 763, 23048, 6272, 519, 21038, 585, 1362, 476, 1321, 628, 9119, 538, 513, 1134, 3613, 19099, 6073, 865, 607, 547, 3382, 782, 519, 1271, 3584, 711, 1175, 585, 4604, 11400, 855, 585, 8013, 11400, 607, 1134, 269, 898, 568, 4061, 2629, 547, 2638, 585, 519, 21038, 5402, 543, 1287, 5965, 9935, 585, 519, 981, 269, 634 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5286, 1477, 825, 1104, 21267, 28272, 607, 12301, 5897, 825, 535, 815, 25754, 1535, 281, 476, 272, 1315, 630, 272, 1341, 476, 1839, 2608, 1535, 2878, 476, 273, 3418, 825, 1948, 13127, 378, 483, 418, 493, 496, 29219, 7511, 30317, 27381, 510, 29219, 1477, 825, 1535, 318, 9557, 815, 5286, 7456, 1231, 10628, 8987, 272, 267, 476, 272, 267, 476, 1556, 3418, 825, 1820, 3287, 318, 9557, 3418, 825, 586, 318, 9557, 815, 1592, 9852, 777, 6600, 267, 1535, 318, 9557, 17903, 825, 1948, 22614, 487, 505, 421, 350, 379, 418, 493, 496, 29219, 1477, 825, 1535, 815, 5286, 7456, 1231, 10628, 8987, 272, 267, 476, 272, 3418, 825, 586, 815, 1592, 9852, 777, 10857, 10033, 512, 281, 18848, 9792, 318, 5793, 335, 25544, 3287, 318, 9557, 267, 586, 318, 9557, 267, 512, 1070, 1535, 17903, 825, 1948, 476, 13200, 375, 18713, 378, 1477, 825, 12301, 8807, 2682, 2891, 25419, 9792, 31992, 14744, 825, 12301, 31892, 2660, 3287, 318, 9557, 267, 586, 318, 9557, 267, 2681, 6889, 528, 1052, 14744, 825, 12301, 19502, 3287, 267, 586, 3418, 825, 12301, 269, 5586, 754, 8443, 257, 25419, 9792, 31992, 2580, 834, 2675, 13593, 2798, 19312, 3418, 825, 12301, 20481, 14052, 0, 11133, 3266, 815, 703, 9272, 2891, 28808, 516, 572, 796, 562, 14243, 1067, 334, 1303, 3266, 27082, 16343, 281, 834, 11723, 604, 1003, 3266, 4939, 476, 273, 2652, 476, 271, 912, 825, 1820, 2891, 19324, 1612, 5602, 12828, 912, 825, 1820, 2891, 19324, 2215, 334, 5602, 0, 5320, 815, 3403, 2891, 28808, 25564, 19448, 5493, 629, 571, 281, 19515, 5320, 318, 272, 815, 1592, 27182, 2020, 2745, 2891, 19324, 5493, 785, 668, 334, 8442, 952, 2262, 2652, 1592, 263, 516, 951, 539, 27182, 318, 272, 4297, 3116, 1820, 2891, 5591, 1965, 5493, 785, 668, 334, 15419 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2496, 321, 264, 594, 993, 18516, 1018, 596, 616, 3843, 547, 2161, 1934, 269, 898, 568, 15458, 952, 700, 4016, 547, 930, 20698, 337, 836, 1014, 610, 547, 16070, 11610, 827, 519, 1990, 7852, 269, 2690, 930, 2601, 621, 729, 10268, 607, 513, 5835, 4216, 6031, 25231, 7508, 269, 898, 4667, 21453, 2390, 882, 1933, 10756, 320, 264, 594, 1589, 972, 616, 1614, 4830, 10974, 267, 1139, 3151, 602, 519, 12718, 543, 519, 29950, 29226, 10446, 269, 1924, 519, 10974, 1131, 581, 912, 17951, 548, 29352, 676, 519, 12718, 12361, 315, 9064, 1012, 454, 17951, 548, 29352, 676, 519, 29950, 12361, 315, 12978, 1012, 454, 345, 3845, 14360, 676, 519, 29950, 12361, 345, 1012, 692, 321, 264, 2252, 713, 2783, 568, 1318, 267, 972, 1131, 581, 1175, 1079, 4717, 5050, 525, 269, 700, 1797, 16070, 11610, 692, 763, 1966, 568, 602, 1775, 993, 711, 2386, 799, 267, 952, 1022, 267, 568, 1318, 692, 15463, 1529, 328, 1767, 912, 320, 264, 594, 1589, 972, 616, 1614, 4830, 10974, 267, 1139, 3151, 602, 519, 12718, 543, 519, 29950, 29226, 10446, 269, 1924, 519, 10974, 1131, 581, 912, 17951, 548, 29352, 676, 519, 12718, 16564, 454, 17951, 548, 29352, 676, 519, 29950, 6543, 499, 454, 345, 3845, 14360, 676, 519, 29950, 1990, 454, 13914, 827, 519, 1739, 281, 1548, 952, 519, 12718, 729, 6378, 267, 875, 1082, 4830, 10974, 1131, 596, 723, 286, 1215, 1082, 616, 3773, 676, 3850, 519, 12718, 547, 17967, 2496, 15463, 1529, 328, 1767, 912, 321, 264, 2252, 713, 2783, 568, 1318, 267, 972, 1131, 581, 1175, 1079, 4717, 5050, 525, 269, 700, 1797, 16070, 11610, 454, 17951, 983, 11610, 5726, 2501, 538, 607, 513, 1101, 7533, 540, 519, 4834, 540, 5163, 269, 2334, 2501, 513, 7008, 540, 3268, 2663, 8259, 596, 616, 3168, 585, 2500, 11673, 799, 596, 798, 711, 3100, 547, 581, 780, 299, 5425, 31850, 545, 626, 454, 302, 16967, 745, 514, 1767, 912, 13914, 827, 519, 1739, 281, 1548, 952, 519, 12718, 729, 6378, 267, 875, 1082, 4830, 10974, 1131, 596, 723, 286, 1215, 1082, 616, 3773, 676, 3850, 519, 12718, 547, 17967, 286, 17951, 983, 11610, 5726, 2501, 538, 607, 513, 1101, 7533, 540, 519, 4834, 540, 5163, 269, 2334, 2501, 513, 7008, 540, 3268, 2663, 8259, 596, 616, 3168, 585, 2500, 11673, 799, 596, 798, 711, 3100, 547, 581, 563, 302, 3591, 269, 1280, 326, 582, 513, 3364, 281, 634, 7455, 3294, 4330, 4440, 814, 519, 3337, 12361, 337, 815, 678, 3709, 334, 9574, 535, 18750, 12101, 9064, 6661, 271, 1012, 269, 1924, 751, 322, 333, 1227, 267, 649, 723, 1175, 1079, 10974, 952, 519, 12718, 568, 15914, 286, 12361, 315, 9064, 267, 1422, 12978, 1012, 888, 296, 993, 20994, 267, 1775, 993, 2141, 11821, 950, 1775, 2097, 2066, 2042, 5473, 1079, 7285, 269, 594, 993, 711, 2386, 950, 519, 7285, 616, 4830, 610, 711, 269, 1809, 2094, 1934, 972, 616, 1100, 11508, 267, 1775, 7058, 789, 616, 4830, 888, 3383, 568, 513, 264, 1318, 29845, 952, 649, 5372, 12361, 315, 25346, 1990, 1012, 676, 12361, 315, 2765, 18097, 345, 2410, 323, 1422, 9064, 348, 1422, 25346, 1422, 9064, 1012, 2496, 8133, 563, 9827, 281, 4595, 519, 18700, 568, 7833, 267, 1990, 568, 513, 5276, 1599, 540, 12361, 315, 12978, 1012, 780, 299, 5425, 31850, 545, 626, 692, 1012, 1548, 568, 519, 595, 2643, 5407, 266, 289, 1737, 3590, 9046, 2496, 763, 595, 2643, 5407, 266, 289, 1737, 3590, 9046, 568, 513, 6323, 1966, 602, 3322, 513, 12718, 609, 513, 29950, 5116, 593, 1283, 540, 621, 269, 634, 3804, 568, 547, 3313, 519, 5163, 540, 519, 29950, 607, 519, 12718, 29226, 780, 1012, 1548, 616, 519, 1883, 2035, 3238, 538, 6061, 519, 595, 2643, 5407, 266, 289, 1737, 3590, 9046, 2496, 763, 1883, 2035, 3238, 538, 6061, 713, 1966, 616, 24364, 5163, 267, 1298, 686, 7065, 531, 3196, 267, 543, 11508, 269, 1452, 2035, 616, 1031, 547, 5659, 519, 4229, 9117, 593, 519, 29950, 543, 3313, 922, 5163, 780, 1012, 1548, 616, 519, 3268, 547, 4194, 519, 595, 2643, 5407, 266, 289, 1737, 3590, 9046, 2496, 763, 3268, 547, 4194, 713, 1966, 616, 281, 476, 272, 264, 10576, 519, 4229, 9117, 593, 519, 29950, 267, 1519, 8904, 267, 3339, 3196, 267, 543, 11508, 269, 476, 273, 264, 2422, 13053, 781, 2034, 1876, 547, 2328, 4834, 540, 5163, 585, 519, 29950, 538, 519, 1535, 543, 586, 8846, 269, 476, 274, 264, 15233, 519, 2175, 585, 24364, 11466, 547, 3313, 519, 2121, 18165, 593, 519, 29950, 269, 476, 275, 264, 2422, 519, 4834, 540, 5163, 543, 18165, 547, 4194, 585, 519, 10231, 543, 16070, 10231, 540, 519, 29950, 269, 476, 276, 264, 2422, 891, 2418, 547, 3313, 519, 5163, 540, 519, 29950, 780, 1012, 1548, 616, 930, 1455, 9073, 950, 6061, 519, 595, 2643, 5407, 266, 289, 1737, 3590, 9046, 2496, 5278, 1455, 9073, 950, 6061, 713, 1966, 1331, 30534, 547, 1331, 782, 519, 4229, 9117, 593, 519, 29950, 267, 711, 6236, 519, 4287, 540, 519, 4229, 267, 543, 711, 5265, 4259, 909, 519, 4834, 540, 5163, 543, 18165, 780, 1012, 1215, 666, 594, 2638, 1250, 3070, 547, 519, 595, 2643, 5407, 266, 289, 1737, 3590, 9046, 2496, 2791, 666, 2638, 707, 3070, 676, 7421, 519, 2168, 2601, 629, 30276, 540, 519, 2164, 267, 971, 607, 2436, 519, 29950, 781, 5163, 13292, 519, 4397, 2623, 269, 1411, 666, 849, 5635, 707, 3070, 547, 1634, 3435, 610, 946, 2780, 13502, 547, 13182, 707, 2164, 780, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 274, 454, 21366, 454, 275, 2190, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 1724, 454, 21366, 454, 4343, 277, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 275, 454, 21366, 454, 22430, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 1428, 454, 21366, 454, 5325, 275, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 3066, 454, 21366, 454, 273, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 273, 454, 21366, 454, 273, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 277, 454, 21366, 454, 20542, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 279, 454, 21366, 454, 24487, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 272, 454, 21366, 454, 3422, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 2641, 454, 21366, 454, 280, 6507, 0, 9223, 692, 258, 2913, 1535, 581, 513, 4351, 4756, 602, 4564, 519, 1377, 540, 7280, 538, 519, 1973, 630, 17524, 28819, 13718, 4131, 1535, 581, 513, 4351, 4756, 602, 4564, 519, 1377, 540, 7280, 538, 519, 1973, 630, 17524, 28819, 829, 1232, 559, 3438, 540, 1973, 264, 1310, 513, 476, 1321, 5662, 3728, 269, 27539, 602, 585, 1004, 896, 476, 2004, 1296, 2025, 267, 1535, 814, 513, 3892, 602, 568, 5111, 3339, 267, 609, 1611, 13179, 815, 476, 6321, 543, 6059, 3044, 11539, 21566, 815, 476, 5655, 269, 589, 1449, 1267, 1535, 2999, 476, 2412, 568, 606, 16315, 540, 4049, 4430, 7378, 267, 543, 6646, 568, 2356, 11311, 780, 5416, 264, 1548, 568, 519, 5506, 602, 267, 593, 513, 2582, 1449, 267, 1535, 2999, 476, 2412, 286, 630, 305, 895, 707, 2626, 547, 2185, 8918, 4025, 24355, 6357, 264, 14597, 513, 4387, 3096, 519, 3328, 1535, 585, 1079, 4255, 3144, 827, 513, 3018, 6306, 269, 1548, 666, 649, 2161, 827, 519, 5506, 3892, 540, 1535, 286, 670, 842, 281, 6423, 14497, 476, 277, 269, 272, 780, 763, 5506, 3892, 540, 1535, 568, 5111, 3339, 609, 13179, 343, 815, 476, 6321, 543, 21566, 343, 815, 476, 2641, 269, 876, 7868, 5506, 3892, 540, 1535, 568, 711, 3339, 269, 3396, 1109, 763, 5506, 3892, 540, 1535, 568, 5111, 3339, 609, 13179, 343, 815, 476, 6321, 543, 21566, 343, 815, 476, 3066, 269, 3583, 7868, 5506, 3892, 540, 1535, 568, 5111, 3339, 609, 13179, 343, 815, 476, 6321, 543, 21566, 343, 815, 476, 5655, 780, 1432, 568, 519, 5506, 602, 1535, 2999, 476, 2412, 286, 630, 305, 895, 707, 2626, 547, 2185, 8918, 4025, 24355, 6262, 264, 19244, 851, 630, 321, 264, 585, 562, 815, 476, 274, 4255, 3144, 513, 3018, 6306, 269, 630, 305, 895, 707, 2626, 547, 2185, 8918, 4025, 24355, 5560, 264, 19244, 851, 630, 321, 264, 585, 562, 815, 476, 276, 4255, 3144, 513, 3018, 6306, 269, 630, 305, 895, 707, 2626, 547, 2185, 8918, 4025, 24355, 16216, 264, 14424, 707, 4267, 547, 2694, 630, 320, 1070, 630, 321, 1070, 630, 322, 1070, 543, 630, 323, 1040, 9894, 519, 17831, 6175, 607, 562, 2799, 2496, 8133, 5591, 692, 23737, 1018, 713, 1522, 17538, 952, 596, 941, 513, 4387, 610, 513, 12016, 780, 763, 811, 4255, 513, 3461, 29349, 267, 519, 6793, 568, 519, 2963, 585, 3668, 540, 7378, 780, 763, 811, 4255, 513, 3461, 29349, 267, 519, 6793, 568, 519, 2963, 585, 4430, 7378, 269, 3396, 1109, 307, 692, 515, 811, 4255, 513, 3461, 29349, 267, 519, 21260, 568, 519, 2963, 585, 3668, 540, 7378, 780, 763, 811, 4255, 513, 3461, 29349, 267, 519, 21260, 568, 519, 2963, 585, 4430, 7378, 780, 11405, 281, 7042, 5416, 264, 9717, 602, 13179, 815, 476, 6321, 2073, 21566, 815, 476, 5655, 692, 303, 11583, 2999, 476, 2412, 264, 815, 623, 9230, 311, 268, 19031, 8358, 17385, 2999, 630, 2412, 268, 6321, 8358, 5655, 994, 284, 623, 263, 313, 2999, 910, 271, 269, 4343, 272, 271, 994, 284, 476, 271, 269, 31134, 271, 692, 6357, 264, 9717, 602, 13179, 343, 815, 476, 6321, 267, 21566, 343, 815, 476, 2641, 269, 876, 692, 303, 11583, 2999, 476, 2412, 264, 815, 623, 263, 313, 2999, 630, 2412, 268, 6321, 8358, 2641, 994, 284, 623, 263, 313, 2999, 910, 271, 269, 278, 8618, 280, 994, 284, 476, 271, 269, 23417, 277, 692, 6262, 264, 1280, 562, 815, 476, 274, 267, 21566, 343, 815, 476, 2190, 269, 1839, 692, 303, 11583, 2999, 476, 2412, 264, 815, 623, 263, 313, 2999, 476, 2412, 268, 6321, 8358, 2190, 269, 1839, 994, 284, 623, 263, 313, 2999, 910, 271, 269, 4792, 280, 279, 994, 284, 476, 271, 269, 22724, 277, 692, 5560, 264, 1280, 562, 815, 476, 276, 267, 21566, 343, 815, 476, 1240, 269, 4281, 692, 303, 11583, 2999, 476, 2412, 264, 815, 623, 263, 313, 2999, 476, 2412, 268, 6321, 8358, 1240, 269, 4281, 994, 284, 623, 263, 313, 2999, 910, 271, 269, 5952, 273, 271, 994, 284, 476, 271, 269, 3192, 278, 692, 16216, 264, 9811, 780, 27784, 641, 5406, 645, 7868, 811, 4255, 513, 3461, 29349, 32586, 6793, 568, 519, 2963, 585, 4430, 7378, 692, 2971, 2423, 333, 3213, 1231, 692, 10870, 1231, 666, 581, 28099, 14855, 585, 32263, 13344, 269, 0, 306, 12944, 267, 5147, 476, 2641, 267, 476, 1001, 273, 692, 1103, 606, 4505, 2022, 594, 4682, 998, 519, 4834, 8720, 19437, 540, 13392, 22016, 1384, 2252, 8870, 3435, 585, 1535, 273, 1109, 268, 29325, 273, 1109, 284, 674, 1109, 1410, 626, 267, 621, 1590, 581, 3020, 602, 1384, 273, 5652, 815, 1990, 910, 674, 345, 268, 272, 1109, 7116, 667, 10275, 273, 692, 18750, 268, 5652, 264, 273, 1109, 284, 737, 273, 344, 273, 1109, 266, 674, 1110, 667, 10275, 273, 692, 8489, 1109, 343, 815, 1990, 268, 5652, 610, 1535, 815, 910, 263, 345, 268, 5652, 1070, 543, 1990, 568, 1022, 21225, 585, 799, 519, 22606, 11201, 6818, 269, 1109, 2080, 972, 568, 519, 3606, 10421, 602, 476, 273, 5652, 345, 1341, 674, 815, 910, 272, 610, 476, 272, 1110, 476, 279, 267, 610, 476, 271, 1110, 476, 275, 267, 952, 1109, 291, 10275, 273, 28812, 513, 4009, 780, 273, 344, 815, 1990, 910, 674, 345, 268, 272, 1109, 7116, 667, 268, 272, 692, 18750, 10275, 264, 273, 1109, 284, 586, 273, 1109, 266, 674, 1110, 667, 268, 272, 692, 763, 7872, 540, 513, 7934, 568, 5462, 676, 519, 1871, 540, 674, 267, 855, 891, 4834, 1590, 2291, 256, 7316, 585, 1535, 543, 586, 547, 723, 8870, 3435, 267, 649, 723, 602, 674, 1590, 581, 513, 13392, 21225, 1110, 25222, 667, 267, 689, 1109, 343, 273, 1109, 268, 29325, 273, 1109, 284, 674, 780, 2414, 1205, 5133, 593, 519, 1297, 3069, 7271, 543, 875, 519, 10616, 616, 1114, 689, 519, 19437, 2015, 519, 13392, 22016, 540, 476, 866, 1384, 272, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 280, 267, 476, 1556, 267, 476, 1626, 267, 476, 1704, 692 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 589, 4569, 1299, 7177, 7420, 692, 1892, 3775, 3046, 321, 22603, 454, 1103, 5758, 267, 674, 9689, 18165, 666, 581, 31965, 676, 4509, 513, 24999, 1063, 6418, 543, 9018, 11369, 1115, 563, 13681, 3046, 321, 22603, 454, 17098, 3025, 281, 594, 991, 519, 2634, 540, 606, 11653, 952, 4896, 856, 972, 30128, 547, 948, 269, 594, 723, 513, 18544, 538, 4569, 689, 772, 1993, 307, 855, 1223, 946, 930, 1702, 689, 519, 5100, 652, 1004, 268, 19296, 267, 594, 993, 1631, 606, 4810, 32063, 543, 9811, 3025, 267, 649, 991, 5100, 1004, 3257, 4070, 1932, 268, 1250, 2979, 4110, 814, 19658, 1250, 960, 607, 1034, 1004, 538, 4070, 3668, 12058, 13718, 296, 1131, 899, 547, 917, 875, 8030, 5173, 519, 3196, 540, 11508, 1063, 7252, 855, 538, 513, 711, 865, 24735, 2796, 281, 594, 1174, 519, 7954, 540, 11508, 543, 12719, 621, 950, 2016, 513, 2527, 543, 513, 11664, 540, 11979, 543, 15452, 11508, 267, 855, 1250, 2243, 568, 711, 865, 2241, 899, 744, 3722, 8212, 594, 3494, 780, 304, 281, 875, 798, 649, 5173, 11508, 6236, 2627, 1858, 609, 1079, 9838, 6878, 267, 538, 713, 2013, 267, 5594, 7148, 1229, 595, 312, 299, 18853, 8991, 269, 2015, 713, 281, 594, 723, 835, 7148, 1229, 12718, 3330, 1776, 602, 568, 9838, 268, 899, 10518, 532, 11369, 1115, 610, 5068, 11680, 269, 1775, 1174, 602, 952, 2527, 3330, 519, 1283, 19943, 4679, 676, 11423, 621, 609, 513, 5277, 267, 621, 11851, 338, 14694, 2604, 593, 519, 5011, 540, 519, 13412, 8708, 543, 519, 8708, 632, 13257, 5594, 268, 713, 4679, 519, 8880, 3196, 25116, 593, 519, 8708, 621, 568, 1369, 270, 935, 22633, 543, 4061, 519, 535, 2774, 1308, 3196, 1063, 519, 1079, 3615, 4679, 780, 1692, 568, 713, 3196, 7229, 286, 1403, 1775, 1039, 1216, 547, 513, 19943, 543, 922, 1369, 1776, 19943, 267, 875, 798, 649, 3313, 519, 2799, 535, 2774, 1308, 3196, 1063, 519, 1079, 11369, 1115, 286, 594, 1589, 922, 513, 1599, 540, 3346, 2627, 1858, 540, 519, 3615, 609, 519, 2527, 540, 519, 6219, 3773, 630, 684, 6134, 569, 7856, 538, 519, 19943, 264, 855, 1775, 993, 711, 606, 11653, 1862, 1403, 4896, 666, 2995, 803, 875, 547, 5173, 713, 267, 1256, 10199, 267, 621, 1131, 581, 7494, 15874, 268, 1210, 2979, 1131, 581, 5363, 607, 1775, 993, 3833, 1434, 693, 621, 780, 296, 723, 513, 4743, 713, 568, 513, 3833, 7294, 547, 5173, 8308, 543, 1082, 2188, 12189, 519, 1267, 855, 952, 2576, 666, 13599, 803, 609, 513, 2596, 1259, 547, 16977, 971, 513, 3196, 267, 621, 1131, 581, 1390, 607, 594, 993, 1175, 3843, 547, 1174, 875, 535, 2774, 1308, 4229, 616, 1198, 539, 950, 4657, 519, 5007, 2627, 1858, 3346, 286, 1131, 1079, 1360, 7381, 543, 1507, 8006, 11369, 1115, 1267, 538, 1447, 535, 2774, 1308, 3196, 982, 1079, 1360, 2110, 543, 2647, 11369, 1115, 30528, 2496, 763, 4320, 568, 3586, 269, 594, 993, 3843, 547, 7413, 519, 11508, 1934, 543, 1175, 607, 649, 666, 11694, 519, 4320, 540, 513, 9112, 3337, 2016, 513, 6378, 2627, 1858, 540, 1570, 547, 1118, 519, 3337, 267, 594, 3494, 649, 666, 849, 11694, 610, 7413, 11508, 607, 1134, 855, 1775, 1810, 1405, 917, 585, 1978, 269, 1677, 803, 519, 8880, 3444, 3296, 540, 519, 12718, 693, 1022, 2016, 4463, 4481, 267, 543, 519, 7222, 14694, 3196, 25116, 693, 602, 4463, 267, 786, 581, 513, 1599, 540, 519, 2604, 25116, 609, 8904, 593, 621, 689, 519, 2527, 1657, 267, 7551, 1818, 519, 3448, 14694, 3196, 2016, 513, 4463, 538, 519, 8708, 267, 11186, 268, 594, 993, 711, 2386, 1862, 286, 594, 1175, 991, 917, 875, 547, 1689, 519, 3337, 540, 1250, 1843, 865, 602, 950, 4904, 543, 30528, 538, 1776, 9838, 630, 8117, 8900, 264, 1843, 267, 519, 11508, 1063, 519, 3615, 568, 31965, 28560, 4896, 666, 2626, 610, 1463, 803, 547, 4466, 835, 540, 10626, 267, 922, 25442, 569, 15874, 256, 543, 1403, 519, 2626, 1463, 338, 803, 547, 1250, 10700, 1267, 799, 1775, 3494, 568, 2009, 267, 789, 786, 4309, 513, 2603, 811, 543, 713, 568, 12517, 1250, 8247, 268, 1403, 2576, 2337, 803, 1934, 543, 594, 946, 602, 948, 547, 3142, 1250, 2856, 547, 4641, 267, 789, 786, 581, 1360, 6126, 269, 12552, 10611, 984, 645, 780, 16942, 281, 1496, 16942, 2232, 6569, 676, 21927, 6540, 8310, 12995, 676, 513, 15645, 1807, 912, 22102, 9930, 3373, 4009, 2609, 1315, 28497, 17613, 1315, 16453, 4229, 1315, 19358, 1113, 11508, 4229, 1315, 5681, 540, 8126, 1113, 11508, 4229, 1535, 8953, 540, 2962, 9847, 674, 9689, 8776, 4302, 16317, 19370, 666, 2965, 581, 12193, 538, 2259, 676, 1896, 1114, 1797, 543, 547, 1896, 1114, 2157, 540, 6111, 16317, 333, 321, 2433, 1703, 786, 581, 1100, 2582, 1871, 2626, 1547, 674, 9689, 18165, 666, 1152, 581, 10567, 547, 2887, 1369, 513, 6512, 540, 2418, 16317, 8310, 12995, 912, 296, 1810, 1405, 7357, 1174, 519, 2663, 851, 540, 519, 1966, 3948, 1547, 1411, 666, 2569, 11508, 18165, 547, 4642, 676, 4509, 513, 24999, 1063, 6418, 543, 9018, 11369, 1115, 16317, 2252, 972, 1590, 581, 930, 3346, 1287, 596, 1131, 991, 547, 1413, 693, 1896, 1114, 19383, 543, 1265, 606, 6099, 835, 16317, 301, 573, 636, 1767, 912, 296, 1810, 1405, 7357, 1174, 519, 2663, 851, 540, 519, 1966, 3948, 1547, 1411, 666, 2569, 11508, 18165, 547, 4642, 676, 4509, 513, 24999, 1063, 6418, 543, 9018, 11369, 1115, 16317, 2252, 972, 1590, 581, 930, 3346, 1287, 596, 1131, 991, 547, 1413, 693, 1896, 1114, 19383, 543, 1265, 606, 6099, 835, 4586, 13070, 872, 267, 543, 594, 1294, 713, 2944, 630, 663, 711, 2944, 264, 538, 2259, 609, 9625, 476, 276, 11829, 517, 5068, 11369, 1115, 269, 769, 930, 2665, 267, 972, 568, 606, 9018, 9067, 2282, 519, 1283, 540, 519, 19943, 602, 7182, 875, 2484, 519, 1283, 19943, 786, 6749, 883, 519, 2539, 835, 269, 1403, 713, 2488, 2614, 24999, 547, 1450, 585, 519, 1283, 19943, 547, 581, 4904, 267, 855, 711, 22775, 2614, 547, 5905, 519, 5011, 540, 519, 2539, 19943, 267, 972, 568, 1100, 11508, 689, 519, 5011, 780, 2691, 711, 2944, 267, 621, 666, 581, 513, 7703, 547, 5094, 519, 1079, 11369, 1115, 780, 3383, 513, 4999, 540, 10747, 1141, 519, 9067, 2115, 547, 581, 585, 513, 2016, 24999, 267, 543, 8888, 519, 19943, 585, 513, 2016, 22636, 950, 4904, 602, 568, 1447, 982, 602, 24999, 1058, 1205, 596, 2282, 4642, 11508, 780, 21446, 2299, 267, 621, 1522, 948, 547, 1683, 835, 610, 811, 29504, 4433, 264, 593, 519, 5377, 19943, 4882, 331, 25660, 268, 1097, 331, 5407, 267, 543, 6802, 2011, 610, 5277, 883, 519, 2230, 269, 2334, 2604, 1058, 948, 5094, 519, 1079, 780, 2467, 616, 7899, 540, 2147, 11508, 2042, 10023, 13999, 593, 19527, 610, 12311, 2471, 543, 519, 3070, 547, 713, 2243, 786, 581, 2147, 269, 3807, 5173, 519, 3339, 3196, 1063, 519, 1079, 7148, 1229, 26561, 269, 4706, 4440, 1175, 1945, 899, 692, 31863, 3196, 815, 30212, 3196, 2608, 5430, 263, 1492, 512, 1653, 5086, 2020, 763, 30212, 3196, 1373, 8406, 1141, 544, 568, 519, 2527, 540, 519, 1283, 834, 321, 3089, 564, 6231, 1103, 519, 1034, 1455, 2203, 540, 11508, 630, 293, 284, 19031, 301, 264, 519, 11508, 3196, 568, 4830, 540, 3346, 1858, 630, 2252, 519, 1858, 568, 2799, 519, 2604, 6971, 543, 891, 2360, 616, 2356, 2808, 547, 22599, 856, 1040, 1717, 713, 568, 1152, 513, 2203, 540, 875, 11508, 1568, 267, 621, 781, 711, 6508, 689, 1101, 3741, 269, 4033, 3631, 949, 581, 811, 4977, 538, 930, 2665, 910, 585, 1383, 621, 781, 4922, 5156, 602, 4227, 519, 2604, 538, 1286, 1119, 637, 3947, 596, 811, 17945, 593, 6777, 1317, 621, 4679, 519, 3346, 1858, 269, 1403, 596, 2479, 991, 6325, 2164, 689, 513, 11508, 1966, 596, 723, 547, 798, 6901, 269, 5794, 7964, 2356, 2268, 2196, 3118, 11508, 267, 594, 1810, 1405, 1589, 789, 2119, 543, 5173, 621, 780, 1012, 476, 272, 269, 1548, 568, 519, 3483, 540, 12719, 11508, 1063, 7148, 1229, 26561, 2496, 763, 3483, 540, 12719, 11508, 1063, 7148, 1229, 26561, 568, 547, 3313, 519, 2179, 540, 4187, 610, 3196, 602, 568, 6383, 950, 1079, 26561, 609, 1114, 5603, 4394, 2097, 883, 3346, 609, 1142, 824, 269, 901, 1344, 568, 1271, 538, 4702, 543, 1374, 607, 621, 666, 1860, 519, 2773, 543, 15006, 540, 7344, 1949, 780, 1012, 476, 273, 269, 1215, 568, 11508, 1063, 7148, 1229, 26561, 7229, 2496, 293, 9689, 1063, 7148, 1229, 26561, 666, 581, 7229, 1210, 519, 4542, 281, 674, 815, 13179, 265, 301, 267, 1141, 674, 568, 519, 3196, 540, 11508, 267, 13179, 568, 519, 11664, 540, 11508, 267, 543, 715, 568, 519, 3339, 3196, 1063, 519, 1079, 26561, 269, 634, 11664, 540, 11508, 568, 8200, 593, 519, 2326, 543, 2627, 3601, 540, 519, 26561, 780, 1012, 476, 274, 269, 1548, 616, 930, 2188, 602, 666, 1860, 519, 11508, 1063, 7148, 1229, 26561, 2496, 5278, 2188, 602, 666, 1860, 519, 11508, 1063, 7148, 1229, 26561, 1331, 519, 1570, 543, 2627, 3601, 540, 519, 26561, 267, 519, 2179, 540, 3196, 610, 2604, 4294, 267, 519, 5086, 693, 799, 519, 26561, 2097, 883, 3346, 267, 543, 519, 3432, 540, 519, 26561, 780, 1012, 476, 275, 269, 1215, 666, 519, 7229, 11508, 1063, 7148, 1229, 26561, 581, 1031, 538, 4702, 543, 1374, 2496, 763, 7229, 11508, 1063, 7148, 1229, 26561, 666, 581, 1031, 538, 4702, 543, 1374, 547, 3313, 519, 3617, 2326, 543, 2627, 23541, 547, 2569, 11508, 543, 2087, 519, 2773, 540, 7344, 1949, 269, 898, 666, 849, 948, 538, 8939, 519, 1318, 2179, 540, 3196, 543, 2604, 547, 3035, 6099, 2773, 543, 2061, 7050, 5957, 543, 15237, 593, 519, 26561, 780, 1012, 476, 276, 269, 3657, 972, 1022, 1483, 8996, 3156, 585, 12719, 11508, 1063, 7148, 1229, 26561, 2496, 8133, 267, 972, 616, 1082, 1483, 8996, 3156, 585, 12719, 11508, 1063, 7148, 1229, 26561, 269, 1280, 1383, 267, 621, 666, 581, 1031, 538, 519, 1374, 540, 24039, 543, 26971, 538, 12227, 267, 607, 1134, 607, 538, 519, 16669, 2872, 585, 8159, 519, 2179, 540, 11508, 1063, 2599, 3334, 269, 898, 666, 849, 581, 4294, 538, 519, 1374, 540, 14382, 12060, 543, 2564, 3457, 547, 2327, 5347, 543, 3608, 3350, 780, 1892, 18190, 8212, 454, 28806, 454, 4391, 454, 21366, 454, 273, 298, 454, 1892, 23317, 454, 28806, 454, 275, 454, 21366, 454, 273, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 275, 454, 21366, 454, 276, 4037, 454, 1892, 18190, 8212, 454, 28806, 454, 273, 454, 21366, 454, 272, 298, 454, 1892, 20996, 7177, 454, 28806, 454, 280, 454, 21366, 454, 272, 298, 454, 1892, 18190, 8212, 454, 28806, 454, 276, 454, 21366, 454, 272, 298, 454, 1892, 4937, 7177, 454, 28806, 454, 1321, 454, 21366, 454, 274, 298, 454, 1892, 4937, 7177, 454, 28806, 454, 1839, 454, 21366, 454, 280, 298, 454, 1892, 23317, 454, 28806, 454, 3953, 454, 21366, 454, 272, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 1240, 454, 21366, 454, 273, 298, 0, 258, 3184, 476, 274, 5569, 692, 3499, 10574, 23113, 543, 27122, 454, 21803, 631, 10248, 454, 1103, 713, 11000, 454, 1892, 21642, 631, 10248, 9046, 454, 1700, 10417, 454, 1700, 8617, 7215, 454, 1700, 1490, 1393, 3196, 5690, 454, 1700, 6988, 454, 1892, 5685, 924, 3557, 26682, 454, 1892, 12928, 3578, 5336, 528, 5142, 6261, 337, 3430, 263, 298, 6573, 264, 23990, 454, 1700, 2776, 3491, 22422, 454, 1700, 6988, 454, 15031, 1181, 631, 10248, 454, 2704, 326, 3596, 916, 454, 763, 9046, 454, 1892, 9717, 513, 1257, 570, 543, 513, 4806, 623, 267, 2638, 454, 31347, 623, 4386, 538, 570, 454, 1700, 19838, 281, 570, 815, 2715, 320, 13741, 322, 6277, 322, 629, 6277, 322, 321, 764, 764, 13741, 13741, 764, 322, 8679, 1700, 4855, 782, 20825, 540, 4806, 623, 815, 536, 25900, 454, 1892, 1703, 616, 7648, 540, 4806, 12805, 454, 1700, 15531, 968, 13627, 1493, 892, 6474, 902, 454, 1700, 15531, 2789, 3270, 3092, 10756, 3963, 21642, 631, 10248, 888, 1892, 10241, 538, 32492, 10334, 454, 1700, 5027, 5311, 568, 513, 1279, 2262, 630, 528, 1257, 264, 936, 513, 476, 275, 268, 12072, 9904, 454, 1700, 717, 22721, 307, 294, 8980, 307, 294, 28566, 7563, 28566, 6311, 22721, 12839, 294, 22721, 12839, 294, 3722, 31769, 8980, 6717, 6717, 7563, 2969, 14011, 454, 2969, 8150, 3722, 12839, 2969, 8150, 294, 7563, 294, 3722, 6311, 7563, 28566, 12839, 294, 6311, 307, 8980, 8980 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1341, 834, 318, 5016, 825, 952, 1893, 318, 2839, 269, 1742, 5976, 2891, 318, 5472, 24417, 12584, 8442, 568, 6936, 912, 1038, 2619, 815, 2619, 318, 3650, 518, 1341, 1893, 318, 2839, 1341, 834, 269, 6255, 6447, 5016, 825, 3116, 912, 1038, 8400, 815, 17093, 14277, 291, 12442, 257, 6012, 992, 2639, 1038, 2012, 815, 17093, 14277, 3682, 339, 4377, 2012, 257, 6012, 992, 2639, 1038, 2783, 815, 17093, 14277, 3682, 339, 4377, 2783, 257, 6012, 992, 6540, 1038, 2619, 815, 630, 12949, 318, 3650, 518, 1341, 8400, 1341, 834, 318, 257, 1341, 2012, 1341, 834, 281, 834, 1341, 2783, 1341, 834, 630, 4840, 3546, 1341, 1893, 318, 2839, 1341, 834, 17983, 1341, 834, 269, 6255, 6447, 15419, 825, 3113, 22182, 318, 6255, 6447, 9638, 987, 2020, 825, 2132, 6936, 7531, 3698, 2132, 318, 9873, 29254, 267, 547, 318, 14142, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 3217, 513, 835, 4737, 1239, 18134, 547, 11571, 585, 519, 1871, 476, 9873, 630, 8976, 288, 781, 454, 1363, 834, 7224, 3210, 257, 15262, 994, 825, 910, 1729, 318, 14142, 281, 1592, 540, 6241, 4408, 538, 799, 519, 535, 551, 814, 547, 1413, 538, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 4958, 5281, 513, 1592, 540, 519, 9587, 5627, 519, 1871, 476, 9873, 454, 825, 29185, 825, 4994, 19056, 815, 17093, 28827, 314, 271, 2639, 825, 547, 5091, 1886, 815, 29129, 825, 585, 1775, 538, 547, 318, 14142, 912, 1038, 952, 17093, 5157, 6012, 8161, 19056, 316, 2652, 476, 9873, 912, 2018, 547, 5091, 1886, 6910, 263, 1729, 318, 14142, 28827, 9217, 4917, 1038, 3116, 912, 2018, 3136, 692, 825, 2132, 547, 5091, 1886, 7531, 3698, 5352, 21234, 14682, 1429, 29254, 267, 1449, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 1239, 18134, 609, 519, 1217, 725, 547, 5352, 519, 2140, 585, 513, 2789, 454, 1363, 8255, 3113, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 4958, 5281, 513, 5569, 547, 946, 607, 513, 2140, 585, 519, 3113, 547, 5352, 454, 825, 29185, 825, 4737, 815, 17093, 28827, 314, 271, 2639, 825, 9517, 815, 17093, 14277, 27396, 656, 318, 2839, 257, 6012, 992, 6540, 825, 952, 1449, 2652, 834, 8976, 288, 13426, 1038, 2140, 815, 9517, 1341, 834, 910, 834, 1341, 834, 303, 675, 6874, 821, 10748, 328, 5852, 4840, 825, 8640, 1449, 2652, 834, 21587, 311, 13426, 1038, 2140, 815, 9517, 1341, 834, 910, 834, 1341, 834, 30467, 16594, 2987, 268, 5591, 1047, 32185, 4530, 4840, 825, 3116, 912, 1038, 1820, 2891, 2207, 305, 3036, 281, 634, 1449, 9936, 5293, 547, 519, 5352, 21234, 14682, 1429, 27029, 23526, 834, 10818, 568, 711, 4570, 1701, 2020, 825, 2132, 2140, 7531, 3698, 5352, 21234, 318, 14725, 318, 8976, 288, 29254, 267, 1274, 267, 4994, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 1239, 18134, 609, 519, 1217, 725, 547, 5352, 519, 2140, 585, 513, 2582, 2196, 454, 825, 910, 792, 281, 1274, 2427, 5532, 609, 519, 2140, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 4958, 5281, 513, 5569, 547, 946, 607, 513, 2140, 585, 519, 3113, 547, 5352, 454, 825, 29185, 825, 9517, 815, 17093, 14277, 27396, 656, 318, 2839, 257, 6012, 8161, 2639, 825, 2012, 815, 17093, 14277, 3682, 339, 4377, 2012, 257, 6012, 8161, 2639, 825, 2783, 815, 17093, 14277, 3682, 339, 4377, 2783, 257, 6012, 8161, 6540, 825, 2140, 815, 9517, 1341, 834, 910, 834, 1341, 834, 8976, 288, 267, 834, 1341, 2012, 1341, 834, 281, 834, 1341, 2783, 1341, 834, 9497, 1341, 1274, 1341, 834, 264, 5016, 825, 2132, 2140, 7531, 3698, 5352, 21234, 318, 14725, 318, 21587, 311, 29254, 267, 2196, 318, 2839, 267, 4994, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 1239, 18134, 609, 519, 1217, 725, 547, 5352, 519, 2140, 585, 513, 2582, 2196, 454, 825, 910, 14725, 318, 2839, 281, 6920, 952, 621, 568, 519, 1101, 610, 2034, 1893, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 4958, 5281, 513, 5569, 547, 946, 607, 513, 2140, 585, 519, 3113, 547, 5352, 454, 825, 29185, 825, 9517, 815, 17093, 14277, 27396, 656, 318, 2839, 257, 6012, 8161, 2639, 825, 2012, 815, 17093, 14277, 3682, 339, 4377, 2012, 257, 6012, 8161, 2639, 825, 2783, 815, 17093, 14277, 3682, 339, 4377, 2783, 257, 6012, 8161, 2639, 825, 1893, 815, 2196, 318, 2839, 1341, 834, 281, 834, 1341, 1349, 9078, 4833, 29254, 7456, 665, 314, 314, 8161, 316, 3910, 2196, 318, 2839, 2020, 825, 2140, 815, 630, 2839, 1341, 834, 910, 834, 1341, 834, 30467, 4530, 267, 834, 1341, 2012, 1341, 834, 281, 834, 1341, 2783, 1341, 834, 630, 4840, 17264, 1341, 1893, 1341, 834, 264, 15419, 825, 2132, 2140, 7531, 3698, 1239, 15461, 318, 7120, 318, 8976, 288, 29254, 267, 18772, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 835, 1899, 1239, 18134, 689, 799, 713, 1599, 1349, 519, 1239, 547, 4729, 454, 825, 910, 2181, 25785, 281, 1193, 15262, 15738, 547, 519, 9587, 5627, 519, 4143, 1239, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 4958, 5281, 1079, 8638, 540, 1239, 5627, 519, 1535, 543, 586, 2418, 547, 4729, 454, 825, 29185, 825, 6241, 5332, 1868, 815, 17093, 31815, 8435, 454, 825, 4737, 815, 17093, 28827, 314, 271, 2639, 825, 547, 318, 14142, 815, 11713, 825, 1535, 815, 11713, 825, 586, 815, 29129, 825, 585, 1775, 538, 6241, 5332, 1868, 912, 1038, 952, 1775, 269, 11034, 1873, 603, 263, 2181, 25785, 2187, 2018, 547, 318, 14142, 6910, 9217, 994, 1038, 3116, 912, 2018, 3136, 692, 825, 1592, 318, 9873, 815, 2132, 318, 9873, 29254, 267, 547, 318, 14142, 2020, 825, 585, 795, 538, 1592, 318, 9873, 912, 1038, 547, 318, 24525, 815, 547, 318, 14142, 14728, 2639, 1038, 17093, 815, 17093, 6155, 1886, 263, 1729, 318, 24525, 267, 7852, 284, 272, 2020, 825, 6241, 5332, 1868, 815, 17093, 31815, 8435, 692, 825, 585, 737, 538, 6241, 5332, 1868, 912, 1038, 952, 737, 269, 11034, 1873, 603, 263, 2181, 25785, 2187, 2018, 1535, 6910, 17301, 17347, 7456, 29328, 263, 2181, 25785, 21875, 2018, 586, 6910, 29254, 25208, 6012, 992, 7481, 1038, 3116, 912, 2018, 3136, 692, 825, 2132, 1535, 267, 586, 7531, 3698, 1239, 15461, 318, 7120, 318, 21587, 311, 29254, 267, 18772, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 835, 1899, 1239, 18134, 689, 799, 713, 1599, 21555, 519, 1239, 547, 4729, 454, 825, 910, 2181, 25785, 281, 1193, 15262, 15738, 547, 519, 9587, 5627, 519, 4143, 1239, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 4958, 5281, 1079, 8638, 540, 1239, 5627, 519, 1535, 543, 586, 2418, 547, 4729, 454, 825, 29185, 825, 6241, 5332, 1868, 815, 17093, 31815, 8435, 454, 825, 4737, 815, 17093, 28827, 314, 271, 2639, 825, 1535, 815, 22373, 5591, 1047, 281, 19382, 283, 1962, 285, 11854, 3663, 281, 19382, 20350, 1363, 834, 5591, 1047, 281, 645, 2088, 1116, 283, 1962, 285, 11854, 3663, 281, 19382, 20350, 1363, 834, 5591, 1047, 281, 645, 2088, 1116, 283, 1962, 285, 11854, 3663, 281, 645, 2088, 1116, 20350, 1363, 834, 5591, 1047, 281, 645, 2088, 1116, 283, 1962, 285, 11854, 3663, 281, 9406, 20350, 1363, 834, 5591, 1047, 281, 9406, 283, 1962, 285, 11854, 3663, 281, 9406, 31116, 825, 586, 815, 29129, 825, 585, 1775, 538, 6241, 5332, 1868, 912, 1038, 952, 1775, 269, 11034, 1873, 603, 263, 2181, 25785, 2187, 2018, 1871, 815, 17093, 5157, 6012, 992, 4940, 516, 2897, 2891, 2437, 267, 834, 23528, 2018, 586, 6910, 263, 15615, 263, 7407, 4917, 1038, 3116, 912, 2018, 3136, 692, 825, 2132, 1535, 267, 586, 7531, 3698, 4729, 318, 24473, 318, 299, 29254, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 21795, 1239, 18134, 5627, 519, 1239, 547, 4729, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 338, 2314, 533, 3279, 11708, 538, 1547, 6255, 6447, 454, 825, 29185, 825, 2140, 815, 5352, 21234, 318, 14725, 318, 8976, 288, 29254, 267, 834, 29381, 2423, 2580, 17093, 28827, 314, 271, 7481, 825, 10297, 815, 2715, 257, 27583, 9899, 2140, 2676, 23526, 834, 343, 9899, 834, 293, 15968, 630, 13703, 264, 20350, 23526, 834, 344, 9899, 834, 295, 8960, 774, 11611, 630, 323, 289, 670, 299, 17983, 10926, 825, 4453, 815, 979, 269, 8201, 10797, 825, 4453, 269, 26303, 9078, 599, 719, 6025, 1856, 284, 18350, 1564, 14277, 27583, 257, 16689, 4449, 8587, 1535, 9471, 21234, 284, 18350, 1564, 14277, 343, 257, 16689, 4449, 8587, 586, 9471, 21234, 284, 18350, 1564, 14277, 344, 257, 16689, 4449, 8587, 1535, 9471, 25292, 6889, 8421, 20350, 4449, 8587, 1535, 9471, 318, 9792, 17342, 12639, 28802, 1015, 263, 1911, 1070, 5286, 28802, 1015, 263, 1220, 876, 13580, 2676, 4449, 8587, 586, 9471, 318, 9792, 17342, 3199, 267, 910, 736, 16689, 4449, 8587, 586, 9471, 5091, 339, 1157, 284, 1015, 2676, 4449, 8587, 1535, 9471, 318, 19651, 1467, 18989, 2676, 4449, 8587, 1535, 9471, 318, 1467, 10233, 6889, 18872, 20350, 4449, 8587, 586, 9471, 318, 19651, 1467, 18989, 2676, 4449, 8587, 586, 9471, 318, 1467, 10233, 6889, 18872, 20350, 4449, 8587, 586, 9471, 318, 10045, 13238, 18989, 2676, 4449, 8587, 586, 9471, 318, 10045, 13238, 12296, 284, 272, 2676, 4449, 8587, 586, 9471, 318, 10045, 13238, 10233, 6889, 18872, 15419, 825, 1535, 267, 586, 815, 1239, 15461, 318, 7120, 318, 8976, 288, 29254, 267, 834, 4041, 318, 15419, 825, 4453, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 24210, 2676, 4449, 17264, 586, 284, 344, 2676, 4449, 17264, 1899, 318, 10233, 6889, 19990, 20350, 4449, 17264, 7154, 8782, 6050, 266, 5658, 619, 22779, 4449, 17264, 2012, 284, 18350, 1564, 14277, 27583, 257, 16689, 4449, 17264, 29964, 339, 6374, 622, 6889, 260, 346, 343, 281, 272, 269, 271, 325, 348, 21636, 283, 1962, 285, 257, 30492, 14030, 19930, 834, 260, 346, 344, 281, 272, 269, 271, 325, 348, 28108, 670, 299, 8442, 2020, 825, 6192, 815, 4688, 14682, 1429, 318, 8976, 288, 6600, 580, 267, 17093, 267, 834, 29381, 2423, 15419, 825, 952, 6192, 568, 6936, 912, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 7531, 3698, 4729, 318, 24473, 318, 305, 29254, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 21795, 1239, 18134, 5627, 519, 1239, 547, 4729, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 338, 2314, 533, 3279, 11708, 538, 1547, 6255, 6447, 454, 825, 29185, 825, 2140, 815, 5352, 21234, 318, 14725, 318, 8976, 288, 29254, 267, 834, 14738, 2423, 2580, 17093, 28827, 314, 271, 7481, 825, 10297, 815, 2715, 257, 27583, 9899, 2140, 2676, 23526, 834, 343, 9899, 834, 293, 15968, 630, 13703, 264, 20350, 23526, 834, 344, 9899, 834, 295, 8960, 774, 11611, 630, 323, 289, 670, 299, 17983, 10926, 825, 4453, 815, 979, 269, 8201, 10797, 825, 4453, 269, 26303, 9078, 599, 719, 6025, 1856, 284, 18350, 1564, 14277, 27583, 257, 16689, 4449, 8587, 1535, 9471, 21234, 284, 18350, 1564, 14277, 343, 257, 16689, 4449, 8587, 586, 9471, 21234, 284, 18350, 1564, 14277, 344, 257, 16689, 4449, 8587, 1535, 9471, 25292, 6889, 8421, 20350, 4449, 8587, 1535, 9471, 318, 9792, 17342, 12639, 28802, 1015, 263, 1911, 1070, 5286, 28802, 1015, 263, 1220, 876, 13580, 2676, 4449, 8587, 586, 9471, 318, 9792, 17342, 3199, 267, 910, 736, 16689, 4449, 8587, 586, 9471, 5091, 339, 1157, 284, 1015, 2676, 4449, 8587, 1535, 9471, 318, 19651, 1467, 18989, 2676, 4449, 8587, 1535, 9471, 318, 1467, 10233, 6889, 18872, 20350, 4449, 8587, 586, 9471, 318, 19651, 1467, 18989, 2676, 4449, 8587, 586, 9471, 318, 1467, 10233, 6889, 18872, 20350, 4449, 8587, 586, 9471, 318, 10045, 13238, 18989, 2676, 4449, 8587, 586, 9471, 318, 10045, 13238, 12296, 284, 272, 2676, 4449, 8587, 586, 9471, 318, 10045, 13238, 10233, 6889, 18872, 15419, 825, 1535, 267, 586, 815, 1239, 15461, 318, 7120, 318, 8976, 288, 29254, 267, 834, 3918, 318, 15419, 825, 4453, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 24210, 2676, 4449, 17264, 586, 284, 344, 2676, 4449, 17264, 1899, 318, 10233, 6889, 1042, 20350, 4449, 17264, 7154, 8782, 6050, 266, 5658, 619, 22779, 4449, 17264, 2012, 284, 18350, 1564, 14277, 27583, 257, 16689, 4449, 17264, 29964, 339, 6374, 622, 6889, 260, 346, 343, 281, 272, 269, 271, 325, 348, 21636, 283, 1962, 285, 257 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 2386, 789, 616, 1199, 1227, 2973, 269, 23883, 952, 596, 1294, 930, 10130, 798, 711, 13789, 7363, 267, 971, 607, 13626, 811, 610, 811, 10728, 563, 2252, 596, 616, 11116, 610, 561, 1342, 539, 676, 513, 4620, 267, 543, 519, 10138, 610, 519, 2960, 3587, 2699, 267, 22224, 267, 17611, 269, 952, 596, 1294, 513, 2699, 1899, 2919, 689, 519, 10138, 610, 2282, 519, 16398, 267, 5225, 979, 547, 14849, 1416, 610, 18317, 547, 723, 596, 13761, 563, 10345, 3008, 2177, 3201, 31178, 10691, 2464, 912, 6624, 1004, 723, 5828, 593, 519, 22865, 693, 1753, 269, 634, 4055, 2011, 4991, 5671, 518, 693, 3781, 950, 519, 22865, 568, 593, 269, 634, 3819, 2011, 666, 2014, 11522, 269, 3371, 616, 930, 2081, 547, 2057, 519, 11522, 3361, 676, 519, 3819, 2011, 281, 476, 272, 269, 5620, 930, 3636, 1216, 538, 513, 5687, 657, 2282, 707, 5127, 267, 952, 596, 12687, 909, 267, 521, 760, 930, 3636, 1216, 476, 273, 269, 12414, 593, 18519, 8595, 609, 3636, 1216, 630, 322, 1245, 2011, 666, 2014, 11522, 1932, 264, 476, 274, 269, 22911, 513, 24621, 543, 2322, 621, 593, 519, 1283, 540, 11578, 267, 865, 519, 7509, 540, 519, 24621, 666, 979, 547, 519, 2011, 269, 2107, 13793, 519, 6632, 24621, 2282, 707, 3068, 950, 596, 3207, 269, 1403, 596, 1376, 23472, 1813, 547, 519, 3819, 1145, 267, 4235, 3905, 1216, 609, 11993, 543, 9932, 666, 948, 269, 2107, 3434, 513, 30000, 15090, 609, 476, 272, 7484, 540, 1216, 543, 476, 272, 29537, 9932, 267, 3548, 519, 15090, 543, 4235, 519, 7401, 563, 2690, 824, 10372, 610, 811, 2143, 1344, 267, 5225, 267, 2638, 938, 12119, 4967, 2228, 563, 3918, 5746, 303, 2464, 281, 4534, 27124, 7219, 623, 4545, 820, 454, 303, 2794, 7219, 568, 513, 1360, 9422, 1426, 269, 898, 814, 1082, 4285, 553, 543, 952, 3548, 7157, 630, 23719, 4006, 264, 621, 568, 1434, 1426, 585, 9561, 2597, 267, 543, 1852, 3987, 269, 3371, 568, 1434, 1259, 547, 3548, 6802, 9469, 1510, 4006, 563, 272, 331, 321, 1762, 22481, 1510, 2960, 543, 5452, 267, 476, 272, 270, 273, 11680, 540, 7573, 7912, 610, 17310, 7912, 610, 30288, 7912, 267, 476, 272, 3039, 22323, 22872, 267, 476, 272, 270, 273, 23188, 540, 6070, 267, 476, 273, 29537, 10448, 3282, 563, 272, 269, 16060, 519, 22481, 1210, 1989, 831, 610, 27054, 1457, 267, 6404, 538, 519, 6070, 267, 543, 18552, 519, 22481, 2394, 930, 10433, 2501, 856, 476, 273, 269, 3575, 519, 7912, 543, 519, 22323, 609, 519, 22481, 547, 1205, 782, 519, 7912, 7509, 269, 476, 274, 269, 3002, 513, 1875, 22496, 3443, 609, 5420, 3002, 267, 1039, 519, 3282, 538, 519, 3443, 476, 275, 269, 1039, 476, 272, 270, 275, 540, 519, 7848, 547, 519, 3443, 543, 6366, 621, 609, 707, 3434, 16292, 267, 16212, 936, 950, 519, 5377, 2427, 7140, 1769, 6960, 269, 1879, 1312, 5011, 1831, 1769, 6960, 267, 519, 3443, 322, 820, 568, 2944, 269, 15566, 585, 519, 824, 476, 274, 3443, 31817, 609, 519, 1482, 1259, 563, 306, 12883, 476, 273, 1004, 563, 5970, 513, 2635, 267, 6126, 2887, 4005, 563, 279, 1321, 271, 24282, 589, 557, 269, 590, 269, 1948, 275, 866, 2349, 334, 4040, 2023, 267, 30400, 476, 4649, 275, 4029, 630, 4817, 273, 264, 476, 23470, 910, 476, 280, 8618, 271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 723, 547, 7941, 476, 11740, 4113, 676, 476, 276, 1384, 11740, 4113, 383, 371, 276, 815, 476, 7761, 4113, 692, 10376, 16538, 5086, 538, 513, 2834, 20008, 6782, 3800, 476, 7761, 4113, 269, 769, 519, 1739, 3349, 267, 649, 666, 1294, 519, 16538, 5086, 3800, 540, 930, 1455, 2834, 29977, 780, 1012, 1215, 547, 5173, 16538, 5086, 3800, 540, 12150, 29977, 2496, 2171, 666, 3313, 519, 2268, 540, 513, 7508, 16538, 5086, 952, 649, 917, 519, 3800, 540, 519, 824, 16538, 7285, 269, 1280, 713, 267, 649, 723, 547, 1039, 782, 519, 1634, 7285, 543, 10208, 689, 476, 11740, 4113, 780, 2690, 1383, 267, 952, 649, 723, 519, 16538, 7285, 476, 2568, 4113, 267, 476, 3583, 4113, 267, 476, 3199, 4113, 267, 543, 476, 5952, 4113, 538, 513, 20008, 6782, 267, 649, 723, 547, 1376, 676, 8159, 741, 2040, 543, 1287, 10208, 621, 689, 476, 11740, 4113, 1384, 2568, 4113, 266, 3583, 4113, 266, 3199, 4113, 266, 5952, 4113, 284, 27768, 4113, 692, 22382, 1109, 476, 11740, 4113, 268, 27768, 4113, 284, 4792, 4113, 692, 763, 2268, 540, 519, 7508, 5086, 568, 476, 4792, 4113, 780, 12234, 267, 649, 666, 849, 5173, 519, 16538, 5086, 3800, 952, 649, 917, 519, 9703, 5086, 3800, 269, 1280, 713, 267, 649, 2015, 602, 519, 2040, 540, 606, 9703, 5086, 543, 922, 7222, 16538, 5086, 568, 3160, 547, 476, 5197, 4113, 780, 11997, 267, 649, 666, 10208, 519, 9703, 5086, 689, 476, 5197, 4113, 547, 1265, 519, 2268, 540, 519, 16538, 5086, 780, 2690, 1383, 267, 952, 649, 723, 9703, 7285, 476, 3445, 4113, 267, 476, 6344, 4113, 267, 476, 8099, 4113, 267, 476, 10755, 4113, 267, 543, 476, 12893, 4113, 538, 513, 20008, 6782, 267, 649, 723, 547, 10208, 1142, 476, 5197, 4113, 5086, 547, 1265, 519, 7222, 16538, 7285, 1384, 5197, 4113, 268, 3445, 4113, 284, 3445, 4113, 692, 5197, 4113, 268, 6344, 4113, 284, 2568, 4113, 692, 5197, 4113, 268, 8099, 4113, 284, 3583, 4113, 692, 5197, 4113, 268, 10755, 4113, 284, 4037, 4113, 692, 5197, 4113, 268, 12893, 4113, 284, 4792, 4113, 692, 11997, 267, 519, 3800, 540, 519, 16538, 7285, 540, 519, 20008, 6782, 616, 476, 3445, 4113, 267, 476, 2568, 4113, 267, 476, 3583, 4113, 267, 476, 4037, 4113, 267, 543, 476, 4792, 4113, 780, 1012, 3752, 1386, 1806, 540, 16538, 7285, 540, 29977, 692, 2162, 12327, 21283, 4041, 476, 272, 692, 29991, 519, 3800, 540, 519, 7508, 16538, 7285, 538, 519, 20008, 6782, 2630, 780, 11405, 281, 1109, 763, 7285, 602, 723, 519, 1482, 2681, 543, 616, 6719, 609, 513, 5595, 1899, 616, 3160, 269, 4475, 267, 649, 723, 1109, 320, 284, 2568, 4113, 269, 1677, 1265, 519, 2268, 540, 5086, 1109, 321, 267, 649, 723, 547, 1039, 519, 1634, 5086, 3800, 543, 10208, 689, 476, 11740, 4113, 269, 4475, 267, 649, 723, 1384, 3199, 4113, 266, 2568, 4113, 266, 2568, 4113, 266, 3445, 4113, 815, 476, 23310, 4113, 692, 22382, 1109, 476, 1109, 11740, 4113, 268, 23310, 4113, 815, 476, 3583, 4113, 692, 17951, 548, 1109, 321, 1109, 1889, 9778, 476, 3583, 4113, 780, 2162, 12327, 21283, 4041, 476, 273, 692, 29991, 519, 3800, 540, 519, 16538, 7285, 538, 519, 15279, 6782, 2630, 780, 11405, 281, 1109, 1103, 713, 2013, 267, 649, 723, 519, 3800, 540, 519, 9703, 7285, 269, 4475, 267, 649, 10208, 1142, 476, 5197, 4113, 5086, 547, 1265, 519, 2268, 540, 519, 7222, 16538, 5086, 1384, 5197, 4113, 268, 8099, 4113, 284, 3583, 4113, 692, 5197, 4113, 268, 6344, 4113, 284, 2568, 4113, 692, 5197, 4113, 268, 9873, 4113, 284, 2004, 4113, 692, 5197, 4113, 268, 10219, 4113, 284, 4649, 4113, 692, 5197, 4113, 268, 1911, 4113, 284, 3199, 4113, 692, 2414, 1265, 519, 2268, 540, 519, 7508, 16538, 5086, 267, 649, 666, 1039, 519, 3800, 540, 519, 1634, 16538, 7285, 543, 10208, 689, 476, 11740, 4113, 269, 4475, 267, 649, 723, 1384, 3583, 4113, 266, 2568, 4113, 266, 2004, 4113, 266, 4649, 4113, 266, 3199, 4113, 284, 25628, 4113, 692, 22382, 1109, 476, 11740, 4113, 268, 25628, 4113, 284, 3393, 4113, 0, 258, 6496, 1455, 14802, 27523, 1063, 1079, 14290, 589, 32390, 10522, 930, 3959, 585, 519, 10321, 2496, 2252, 972, 616, 1079, 5119, 525, 602, 789, 723, 1455, 14802, 27523, 585, 930, 27744, 602, 10522, 602, 1346, 1079, 5119, 525, 616, 9838, 286, 1548, 666, 649, 2161, 585, 1346, 1079, 14290, 2496, 8894, 13706, 4399, 15927, 331, 7268, 8218, 346, 20791, 9795, 348, 476, 272, 1299, 476, 272, 8607, 476, 271, 1299, 476, 272, 1422, 754, 346, 20791, 9795, 4153, 15927, 337, 7751, 543, 4399, 15927, 331, 7268, 8218, 346, 20791, 9795, 348, 476, 272, 1299, 476, 273, 8607, 476, 271, 1299, 476, 272, 1422, 754, 346, 20791, 9795, 4153, 15927, 337, 29408, 782, 741, 552, 580, 839, 335, 2167, 616, 9838, 267, 855, 519, 14290, 5749, 1405, 9838, 269, 1107, 1109, 301, 1690, 756, 16740, 337, 1170, 328, 9484, 476, 1839, 1412, 1321, 693, 476, 280, 281, 3607, 454, 1432, 666, 649, 2161, 827, 519, 9511, 540, 1346, 14290, 952, 649, 2099, 873, 538, 519, 552, 16090, 22470, 2230, 286, 1107, 1109, 2017, 1190, 9484, 476, 1839, 1412, 1321, 693, 476, 280, 281, 5379, 454, 2791, 666, 1405, 834, 10517, 6974, 257, 513, 5119, 538, 513, 6152, 2230, 269, 634, 1249, 602, 621, 568, 21482, 22941, 610, 711, 1281, 711, 2339, 1862, 834, 292, 16090, 22941, 257, 568, 513, 30490, 3959, 811, 1031, 538, 11973, 5624, 1141, 596, 991, 547, 5173, 513, 3845, 585, 1383, 269, 769, 519, 2013, 540, 1079, 14290, 602, 2671, 519, 1482, 1305, 540, 14802, 27523, 596, 666, 1589, 540, 713, 607, 519, 14290, 834, 1372, 14127, 257, 519, 6152, 2230, 538, 519, 1482, 1259, 269, 1411, 666, 1294, 621, 607, 513, 4999, 540, 21800, 8920, 520, 725, 538, 1142, 4287, 3989, 676, 519, 14802, 27523, 269, 1107, 1109, 332, 752, 8734, 476, 1240, 1412, 1724, 693, 476, 273, 281, 4029, 692, 2252, 519, 1079, 14290, 723, 519, 1482, 27744, 609, 519, 1482, 3818, 13109, 789, 723, 519, 1482, 8984, 9971, 269, 1403, 519, 3818, 13109, 540, 891, 27744, 3160, 519, 10155, 540, 519, 552, 580, 839, 335, 2167, 630, 19066, 1016, 17898, 2167, 264, 1287, 519, 1079, 14290, 616, 2147, 547, 513, 15497, 5119, 909, 547, 513, 1689, 540, 3490, 269, 901, 16726, 568, 513, 1098, 1438, 3959, 543, 1287, 596, 666, 2161, 602, 519, 1079, 14290, 596, 723, 2099, 519, 1482, 1439, 31532, 855, 538, 1079, 1114, 13279, 540, 519, 1482, 6152, 2230, 269, 634, 5817, 1439, 31532, 568, 519, 1482, 855, 519, 14290, 616, 9090, 10691, 9838, 269, 5457, 602, 513, 5119, 568, 513, 1259, 547, 2099, 606, 1439, 31532, 1310, 835, 814, 6074, 513, 6152, 3490, 780, 31171, 1384, 13436, 14290, 1269, 288, 259, 543, 1269, 289, 259, 616, 971, 602, 972, 6818, 606, 538, 3200, 1043, 5119, 1269, 303, 259, 971, 602, 281, 1269, 288, 815, 623, 21990, 13064, 272, 10592, 8894, 1432, 798, 596, 1611, 676, 2147, 14290, 286, 1107, 1109, 2017, 1190, 8734, 476, 275, 1412, 1724, 693, 476, 1015, 281, 736, 454, 10955, 1243, 519, 2626, 6902, 264, 1107, 1109, 332, 752, 8734, 476, 1240, 1412, 1724, 693, 476, 273, 281, 1839, 692, 2252, 1079, 14290, 723, 519, 1482, 1305, 540, 14802, 27523, 855, 1114, 27744, 267, 1287, 789, 666, 581, 8195, 15497, 1242, 267, 799, 1797, 602, 519, 1079, 14290, 862, 1393, 799, 1142, 824, 267, 602, 568, 952, 519, 1079, 14290, 616, 589, 543, 645, 267, 9474, 815, 22601, 780, 8894, 4754, 596, 14969, 811, 593, 834, 13678, 6714, 3585, 15497, 1242, 22172, 1107, 1109, 2017, 1190, 8734, 476, 275, 1412, 1724, 693, 476, 1015, 281, 736, 454, 2005, 1797, 602, 789, 616, 2147, 547, 15497, 14290, 2854, 936, 519, 4493, 4646, 676, 519, 14802, 27523, 269, 1107, 1109, 332, 752, 8734, 476, 1240, 1412, 1724, 693, 476, 273, 281, 2767, 692, 2252, 519, 1079, 14290, 616, 15497, 14184, 267, 1287, 789, 1590, 581, 3160, 780, 15008, 1384, 4131, 1269, 303, 259, 581, 519, 5119, 4171, 9587, 616, 513, 4493, 540, 14802, 27523, 540, 1269, 288, 32390, 10608, 3973, 1269, 303, 13064, 272, 348, 4338, 284, 291, 318, 272, 267, 303, 13064, 272, 348, 21990, 284, 291, 318, 273, 259, 1141, 1269, 291, 318, 272, 267, 291, 318, 273, 259, 616, 13005, 580, 4689, 14290, 609, 519, 630, 332, 583, 783, 264, 27744, 593, 519, 15497, 269, 3767, 649, 1175, 991, 547, 1118, 2386, 602, 519, 9753, 538, 799, 789, 616, 5116, 593, 519, 15497, 616, 519, 1482, 269, 1809, 891, 9753, 616, 538, 19359, 547, 519, 1931, 540, 519, 9587, 540, 1269, 303, 259, 865, 649, 8737, 780, 1103, 1880, 713, 568, 3020, 585, 1022, 1079, 21136, 2318, 12413, 9548, 630, 338, 4877, 6155, 264, 14290, 269, 901, 22464, 1267, 568, 1031, 547, 6961, 519, 22464, 540, 519, 2318, 4009, 3597, 540, 513, 521, 4877, 6155, 5119, 780, 268 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1847, 519, 1793, 3187, 896, 13804, 8595, 547, 2490, 621, 593, 269, 1411, 666, 849, 7148, 610, 4945, 519, 3172, 4328, 4837, 12835, 663, 1287, 7148, 610, 4945, 519, 19171, 7735, 593, 519, 13804, 8595, 1907, 8663, 269, 1403, 596, 1616, 547, 723, 13804, 8595, 2141, 693, 707, 31840, 267, 596, 666, 8930, 621, 547, 519, 3399, 5496, 610, 4305, 8663, 269, 2368, 1004, 1616, 547, 1689, 519, 9355, 610, 2450, 540, 519, 1913, 543, 2592, 593, 519, 5496, 269, 1403, 713, 568, 1018, 596, 1616, 547, 798, 267, 596, 666, 554, 335, 342, 519, 813, 547, 24680, 538, 593, 513, 2985, 22272, 641, 1689, 707, 5496, 6571, 563, 2690, 811, 9623, 827, 4657, 707, 5496, 6571, 267, 1294, 5192, 519, 1655, 4159, 593, 707, 6895, 269, 1403, 596, 2461, 1210, 513, 10856, 267, 596, 666, 946, 13804, 8595, 538, 513, 1906, 2081, 267, 4470, 593, 875, 596, 899, 547, 960, 281, 2407, 1606, 10547, 267, 7828, 267, 543, 546, 18088, 269, 8347, 873, 782, 547, 1265, 856, 799, 835, 596, 4782, 269, 769, 1990, 558, 2070, 267, 707, 3003, 5496, 568, 3172, 1881, 269, 1411, 4440, 4465, 1406, 581, 2111, 547, 1294, 519, 2898, 5496, 693, 561, 1952, 9008, 1482, 942, 950, 621, 779, 3172, 1881, 267, 855, 607, 596, 1847, 1472, 519, 5496, 267, 596, 666, 1294, 3388, 563, 2252, 596, 723, 513, 5905, 31653, 267, 13804, 8595, 786, 4159, 3043, 10665, 1472, 519, 11876, 336, 540, 707, 5496, 269, 28463, 707, 9416, 610, 10856, 2059, 519, 10665, 547, 1847, 1472, 519, 5496, 269, 769, 713, 2070, 267, 950, 596, 1847, 1472, 519, 5496, 267, 621, 779, 899, 3001, 513, 3172, 4328, 4837, 1472, 563, 1103, 713, 2070, 267, 22272, 582, 335, 3172, 8595, 568, 546, 18088, 547, 513, 6712, 540, 707, 5496, 269, 1411, 666, 1689, 519, 1259, 13804, 8595, 1568, 269, 1280, 1383, 267, 596, 666, 946, 519, 24680, 16181, 543, 547, 1689, 875, 1454, 13804, 8595, 14219, 1173, 525, 707, 5496, 269, 1411, 666, 849, 1930, 519, 13804, 8595, 3681, 7735, 547, 1689, 13804, 8595, 563, 18933, 6559, 538, 689, 519, 1318, 6316, 540, 519, 5496, 267, 543, 1287, 7148, 9612, 269, 1403, 596, 2461, 1210, 513, 10856, 267, 1448, 547, 519, 2539, 28878, 7944, 540, 519, 5496, 267, 1847, 519, 10856, 24072, 909, 267, 543, 1287, 4945, 9612, 269, 9373, 13804, 8595, 538, 519, 3406, 4216, 267, 543, 1287, 7148, 610, 4945, 13804, 8595, 269, 3619, 547, 519, 8837, 30325, 9008, 543, 4945, 519, 13804, 4328, 4837, 269, 2473, 10547, 519, 18169, 7735, 269, 2422, 519, 1793, 3187, 547, 3442, 513, 24680, 27261, 269, 634, 6871, 596, 3442, 1934, 786, 581, 519, 27261, 676, 799, 13804, 8595, 14219, 1173, 525, 519, 5496, 950, 596, 2046, 519, 24680, 538, 7735, 563, 15919, 10941, 532, 4778, 2306, 1257, 4443, 547, 1224, 269, 8564, 513, 2638, 7901, 521, 341, 2240, 3442, 875, 13804, 8595, 6212, 269, 13804, 8595, 666, 1246, 707, 10856, 267, 519, 24450, 1448, 267, 610, 519, 13691, 269, 8074, 281, 1879, 596, 1930, 13804, 8595, 267, 519, 13804, 8595, 1907, 8663, 5526, 13713, 269, 898, 3533, 4991, 856, 540, 707, 1259, 267, 855, 596, 666, 4159, 621, 1586, 676, 14467, 519, 3172, 4328, 4837, 12835, 593, 707, 5496, 610, 519, 13804, 8595, 12835, 593, 519, 4305, 8663, 269, 13804, 8595, 14219, 1173, 525, 1114, 2694, 540, 12132, 9008, 5496, 543, 568, 851, 3458, 323, 333, 519, 661, 848, 540, 7457, 4741, 563, 2414, 1930, 621, 3533, 267, 4945, 3399, 663, 1287, 1826, 13804, 8595, 269, 1411, 875, 547, 24680, 1250, 15291, 5496, 849, 1689, 519, 5496, 6571, 267, 799, 4188, 338, 519, 9355, 267, 2450, 267, 543, 2179, 540, 1919, 602, 3514, 593, 707, 2780, 6895, 269, 9509, 1606, 10547, 7154, 269, 769, 1085, 872, 327, 7154, 267, 707, 3003, 5496, 568, 3172, 1881, 269, 13689, 593, 519, 2450, 540, 707, 5496, 543, 519, 24680, 1377, 596, 3442, 267, 596, 1522, 711, 581, 2111, 547, 1294, 782, 540, 519, 5496, 693, 519, 1482, 942, 269, 30776, 7154, 269, 667, 18088, 7154, 269, 769, 546, 18088, 7154, 267, 1152, 513, 6712, 540, 875, 547, 24680, 1250, 15291, 5496, 5496, 568, 666, 1775, 24680, 593, 1250, 9486, 267, 6028, 519, 1964, 540, 707, 18376, 24240, 563, 2791, 666, 1287, 1852, 799, 1858, 540, 519, 5496, 568, 3172, 1881, 269, 1879, 596, 2461, 1210, 2407, 1606, 10547, 7154, 267, 596, 666, 3533, 12744, 707, 3003, 18376, 676, 14467, 519, 1215, 547, 24680, 1250, 15291, 5496, 10624, 267, 543, 1287, 14467, 2776, 1613, 2407, 5496, 563, 2690, 513, 1592, 540, 13691, 31930, 602, 596, 666, 946, 609, 13804, 8595, 267, 1294, 6206, 4580, 31930, 269, 21115, 333, 519, 18169, 7735, 663, 1287, 2824, 519, 4781, 602, 596, 1616, 15545, 2598, 680, 904, 519, 1858, 1472, 519, 10856, 24072, 538, 519, 13804, 8595, 6885, 269, 1879, 596, 2824, 713, 4781, 267, 596, 666, 3442, 547, 723, 519, 13804, 8595, 6885, 1847, 950, 519, 10856, 24072, 4485, 610, 950, 519, 10856, 24072, 16125, 519, 6316, 540, 519, 13804, 8595, 6885, 563, 12812, 519, 18169, 12132, 335, 663, 1287, 1847, 519, 1793, 3187, 547, 4188, 519, 24680, 27261, 269, 25021, 519, 1793, 3187, 547, 519, 2451, 3123, 13804, 8595, 547, 24680, 14887, 267, 609, 4130, 2242, 1063, 24680, 2157, 269, 25021, 519, 1793, 3187, 547, 519, 1318, 3123, 13804, 8595, 547, 24680, 5488, 267, 609, 3677, 2242, 1063, 24680, 2157, 269, 590, 325, 2240, 519, 18169, 7735, 663, 1287, 267, 896, 13804, 8595, 30776, 590, 714, 655, 913, 519, 1793, 11107, 547, 4188, 519, 2450, 540, 519, 13804, 8595, 7828, 563, 763, 7828, 2450, 2242, 1318, 2476, 269, 17797, 519, 1377, 2394, 621, 779, 875, 547, 24680, 1250, 15291, 5496, 585, 596, 269, 5695, 940, 593, 2681, 538, 11437, 4679, 519, 4334, 1063, 3688, 593, 707, 5496, 267, 799, 666, 948, 1118, 707, 5496, 4443, 547, 1294, 563, 12812, 519, 18169, 7735, 663, 1287, 2824, 519, 12414, 593, 2681, 538, 11437, 2638, 7901, 269, 1879, 596, 1376, 1210, 13804, 8595, 267, 519, 13804, 8595, 1907, 8663, 7106, 8986, 547, 1205, 856, 540, 707, 1259, 267, 855, 596, 666, 4159, 621, 1586, 269, 2991, 13804, 8595, 10741, 267, 4945, 519, 3172, 4328, 4837, 12835, 593, 707, 5496, 610, 4945, 519, 3172, 8595, 12835, 593, 519, 4305, 8663, 269, 8837, 476, 1556, 8837, 476, 1015, 8837, 476, 279, 269, 4635, 13804, 8595, 593, 8837, 476, 1556, 13804, 8595, 2306, 851, 610, 782, 540, 707, 5496, 8273, 865, 3458, 655, 666, 1294, 1913, 543, 2592, 1732, 563, 22091, 663, 1022, 610, 782, 540, 519, 1739, 6810, 547, 1451, 811, 827, 13804, 8595, 269, 1677, 1847, 1472, 519, 5496, 267, 8749, 2059, 519, 10665, 540, 519, 5496, 538, 2407, 5496, 2070, 269, 4635, 13804, 8595, 593, 8837, 476, 1015, 13804, 8595, 2306, 851, 610, 782, 540, 707, 5496, 8273, 865, 596, 666, 1294, 1913, 543, 2592, 1732, 269, 4635, 13804, 8595, 1411, 666, 1930, 561, 6312, 641, 2673, 13804, 8595, 3533, 865, 621, 779, 13561, 950, 596, 991, 621, 543, 621, 779, 856, 540, 707, 1259, 950, 596, 1810, 1406, 563, 300, 1725, 8595, 786, 1930, 538, 9509, 1606, 10547, 2070, 8259, 596, 1689, 519, 5468, 269, 1677, 1930, 13804, 8595, 1210, 5905, 610, 513, 10856, 4210, 6559, 538, 689, 519, 1318, 6316, 540, 519, 5496, 267, 7148, 23994, 663, 1287, 7148, 7827, 7193, 5468, 563, 24687, 281, 1403, 596, 1616, 547, 723, 13804, 8595, 2141, 693, 707, 31840, 267, 596, 666, 8930, 621, 547, 519, 3399, 5496, 610, 4305, 8663, 269, 11872, 281, 1403, 596, 1616, 547, 723, 13804, 8595, 693, 707, 31840, 267, 596, 666, 8930, 621, 547, 519, 4305, 8663, 563, 24687, 281, 1879, 596, 2461, 1210, 2407, 1606, 10547, 7154, 267, 596, 666, 3533, 12744, 707, 3003, 18376, 676, 14467, 519, 14358, 10624, 267, 543, 1287, 14467, 2776, 1613, 2407, 5496, 269, 1215, 547, 24680, 1250, 15291, 5496, 269, 5988, 476, 6021, 267, 1215, 547, 24680, 1250, 15291, 5496, 910, 269, 5403, 513, 19410, 269, 15019, 9708, 689, 713, 5816, 8281, 543, 3888, 1863, 24680, 813, 269, 3353, 2129, 4301, 5988, 476, 6021, 267, 898, 779, 2653, 543, 596, 3580, 581, 4712, 585, 1362, 256, 3367, 811, 563, 1692, 547, 1118, 1250, 15291, 5496, 24680, 856, 1107, 875, 547, 1118, 1250, 15291, 5496, 24680, 856, 15545, 1692, 547, 24680, 1250, 15291, 5496, 454, 763, 13691, 666, 581, 1031, 547, 24680, 538, 610, 856, 269, 10241, 543, 1357, 26292, 7567, 946, 713, 1505, 269, 1411, 666, 2070, 513, 2546, 676, 14467, 9170, 593, 519, 8837, 18376, 269, 8837, 13804, 8595, 568, 1034, 2693, 547, 14359, 3264, 8563, 9686, 7846, 10528, 31124, 19628, 1946, 1775, 723, 1100, 8301, 538, 24680, 5870, 1107, 1946, 1775, 723, 1100, 8301, 538, 24680, 5870, 281, 2843, 507, 3522, 9261, 5828, 593, 538, 713, 2013, 563, 2467, 616, 1614, 12331, 540, 8837, 13804, 8595, 281, 9509, 1606, 10547, 267, 7828, 267, 543, 546, 1442, 269, 9509, 1606, 10547, 7154, 2636, 519, 3003, 5496, 547, 581, 3172, 1881, 950, 519, 13804, 8595, 568, 1305, 547, 602, 4259, 269, 1403, 707, 875, 547, 1118, 1250, 15291, 5496, 24680, 856, 1107, 875, 547, 1118, 1250, 15291, 5496, 24680, 856, 281, 568, 24680, 539, 538, 267, 1287, 707, 5665, 1062, 568, 1034, 2693, 1210, 713, 7154, 563, 763, 24680, 5468, 538, 8837, 949, 581, 519, 1966, 952, 519, 2592, 593, 519, 18376, 616, 3677, 982, 8912, 269, 1635, 10296, 519, 8837, 1883, 543, 26378, 519, 14263, 1129, 267, 596, 666, 24680, 1394, 856, 1586, 538, 2600, 1213, 906, 2394, 596, 3914, 3339, 3172, 2305, 1586, 269, 1635, 10296, 519, 8837, 1883, 543, 26378, 18521, 267, 13804, 8595, 786, 581, 6806, 543, 519, 3339, 4159, 786, 581, 17468, 269, 634, 13804, 8595, 5468, 4216, 666, 581, 15600, 676, 10296, 8837, 267, 6513, 267, 610, 631, 10569, 563, 21446, 8271, 267, 875, 547, 1118, 1250, 15291, 5496, 24680, 856, 1107, 875, 547, 1118, 1250, 15291, 5496, 24680, 856, 281, 666, 979, 547, 519, 3399, 10624, 543, 4945, 519, 10591, 11057, 5468, 12835, 593, 519, 2451, 2427, 267, 3442, 661, 848, 540, 7457, 267, 543, 1287, 2824, 13804, 8595, 689, 519, 1592, 269, 3798, 11276, 3798, 11276, 568, 513, 2780, 11285, 543, 513, 2029, 2520, 2131, 267, 1261, 814, 606, 11108, 1995, 568, 5752, 543, 7421, 1022, 1007, 2029, 10024, 519, 2344, 563, 8368, 540, 9115, 476, 272, 269, 1215, 798, 2843, 509, 3378, 16044, 491, 4344, 21134, 7846, 11012, 3378, 29652, 27569, 23845, 19628, 1133, 345, 7112, 1250, 15291, 5496, 286, 7994, 519, 11422, 596, 1616, 547, 946, 269, 1411, 666, 24680, 856, 676, 8066, 11632, 12435, 543, 519, 2443, 1883, 269, 1411, 666, 849, 7148, 593, 519, 2353, 29393, 12835, 269, 4210, 6559, 909, 689, 519, 5377, 540, 707, 5496, 547, 519, 1283, 563, 307, 777, 28652, 269, 1677, 1569, 519, 23994, 3296, 267, 1930, 519, 3399, 10624, 269, 3590, 666, 581, 15600, 676, 14467, 593, 621, 269, 5269, 2386, 707, 5496, 568, 3168, 1434, 676, 14577, 519, 17361, 543, 22375, 3681, 538, 18224, 269, 634, 11359, 1900, 568, 547, 1930, 513, 6885, 602, 10525, 519, 5496, 6571, 563, 2791, 666, 1689, 519, 4159, 3681, 538, 1900, 476, 277, 269, 3590, 5468, 666, 581, 1336, 676, 6679, 519, 5468, 269, 11628, 4159, 5468, 666, 581, 15600, 676, 14467, 593, 4159, 269, 6744, 952, 519, 1689, 538, 6571, 2337, 1631, 269, 13772, 875, 547, 24680, 856, 593, 554, 335, 15291, 5496, 11473, 563, 292, 9536, 344, 568, 513, 2780, 11285, 543, 513, 2029, 2520, 2131, 267, 1261, 814, 606, 11108, 1995, 568, 5752, 543, 7421, 1022, 1007, 2029, 10024, 519, 2344, 269, 4427, 2466, 7392, 1657, 543, 2046, 9373, 547, 3406, 563, 18208, 18521, 547, 22599, 269, 0, 22977, 17952, 568, 513, 14715, 4524, 602, 568, 6353, 676, 7928, 17465, 269, 898, 779, 513, 11719, 545, 4524, 7133, 1472, 476, 2004, 2929, 1004, 5001, 630, 476, 1321, 307, 27434, 11905, 267, 476, 1724, 307, 27434, 11905, 1916, 7197, 1004, 609, 20560, 1491, 6646, 547, 1852, 17465, 282, 2705, 267, 713, 2126, 1505, 568, 711, 2500, 585, 827, 476, 1789, 260, 540, 2550, 630, 476, 1691, 307, 27434, 11905, 1916, 1103, 519, 476, 4572, 271, 338, 267, 621, 729, 1101, 5189, 607, 513, 2126, 1505, 585, 20560, 1851, 1346, 945, 1705, 711, 4431, 547, 3075, 2126, 630, 476, 1428, 307, 27434, 11905, 1916, 14399, 5097, 8415, 519, 2732, 269, 26597, 2090, 5342, 593, 4079, 543, 1453, 609, 20560, 723, 8810, 602, 621, 666 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2979, 267, 538, 5119, 8691, 519, 1931, 6927, 267, 543, 607, 4294, 1934, 267, 713, 15387, 519, 1931, 540, 14759, 780, 1012, 22564, 692, 288, 21591, 476, 272, 476, 271, 476, 271, 1535, 476, 271, 476, 272, 476, 271, 586, 476, 271, 476, 271, 476, 272, 1990, 476, 271, 476, 271, 476, 271, 476, 272, 692, 8489, 1535, 267, 586, 267, 543, 1990, 616, 519, 5551, 8144, 538, 1142, 4287, 780, 1012, 2480, 2718, 692, 288, 21591, 590, 343, 476, 271, 476, 271, 476, 271, 476, 271, 5204, 476, 271, 476, 271, 476, 271, 476, 271, 590, 345, 476, 271, 476, 271, 476, 271, 476, 271, 476, 272, 692, 8489, 590, 343, 267, 5204, 267, 543, 590, 345, 616, 519, 5551, 18440, 3815, 538, 1142, 10155, 269, 8074, 602, 952, 596, 1616, 547, 4336, 538, 782, 1614, 7852, 676, 519, 1482, 2179, 267, 596, 666, 1175, 1689, 519, 2539, 1318, 834, 272, 257, 547, 3815, 543, 4734, 590, 343, 267, 5204, 267, 590, 345, 607, 476, 272, 780, 1012, 15585, 566, 692, 8489, 23940, 744, 568, 519, 5551, 10047, 538, 32494, 1472, 519, 2016, 7852, 269, 1452, 666, 581, 5916, 267, 676, 14921, 782, 1614, 5119, 1927, 267, 543, 5094, 519, 834, 1492, 339, 553, 257, 547, 1614, 1114, 4632, 1384, 2162, 15585, 566, 827, 2473, 692, 288, 21591, 476, 272, 476, 271, 476, 271, 476, 271, 476, 271, 5430, 263, 302, 264, 5609, 263, 302, 264, 476, 271, 476, 271, 910, 7562, 263, 302, 264, 5430, 263, 302, 264, 476, 271, 476, 271, 476, 271, 476, 271, 476, 272, 692, 2162, 15585, 566, 827, 962, 692, 288, 21591, 5430, 263, 302, 264, 476, 271, 910, 7562, 263, 302, 264, 476, 271, 476, 271, 476, 272, 476, 271, 476, 271, 5609, 263, 302, 264, 476, 271, 5430, 263, 302, 264, 476, 271, 476, 271, 476, 271, 476, 271, 476, 272, 692, 2162, 15585, 566, 827, 2098, 692, 288, 21591, 5430, 263, 302, 264, 910, 7562, 263, 302, 264, 476, 271, 476, 271, 5609, 263, 302, 264, 5430, 263, 302, 264, 476, 271, 476, 271, 476, 271, 476, 271, 476, 272, 476, 271, 476, 271, 476, 271, 476, 271, 476, 272, 692, 9616, 602, 891, 616, 834, 2431, 19942, 257, 32186, 269, 15474, 7285, 540, 744, 2014, 4831, 12641, 1442, 3772, 10047, 827, 606, 7852, 607, 2938, 689, 513, 1448, 593, 519, 2318, 2427, 540, 519, 7852, 3168, 538, 4724, 519, 5169, 780, 4322, 1614, 14759, 630, 514, 2473, 267, 962, 267, 543, 2098, 264, 666, 267, 27985, 267, 581, 4294, 538, 5311, 547, 3914, 1022, 10066, 269, 901, 3096, 513, 1305, 540, 1614, 7285, 267, 799, 616, 5219, 547, 607, 25586, 27449, 780, 9616, 602, 952, 596, 4019, 513, 10047, 540, 476, 272, 270, 275, 540, 513, 2407, 2490, 1472, 267, 585, 1383, 267, 519, 2473, 7852, 267, 1287, 596, 723, 3927, 13988, 519, 824, 1079, 7852, 267, 962, 543, 2098, 267, 609, 1142, 824, 269, 1403, 596, 1287, 4019, 1022, 10047, 1472, 267, 585, 1383, 267, 519, 2098, 7852, 267, 602, 1131, 581, 4010, 519, 1482, 607, 10047, 1472, 519, 962, 17887, 269, 901, 18788, 513, 4110, 540, 5191, 689, 1022, 2417, 14759, 267, 543, 568, 1572, 834, 326, 574, 4472, 9376, 257, 799, 568, 835, 1826, 540, 13737, 640, 269, 898, 568, 513, 20159, 540, 25586, 27449, 780, 2414, 2057, 713, 20159, 267, 513, 1732, 1062, 585, 32186, 538, 2789, 7852, 666, 581, 2919, 676, 1210, 2372, 15715, 687, 269, 1452, 616, 476, 275, 21021, 2418, 1141, 519, 3063, 7516, 616, 28330, 547, 1950, 2338, 269, 7316, 513, 1950, 1297, 814, 835, 1483, 543, 835, 16494, 851, 267, 513, 844, 15715, 542, 814, 513, 6152, 5057, 543, 476, 275, 16494, 2694, 267, 1572, 1775, 267, 795, 267, 543, 737, 780, 336, 342, 1341, 1775, 7117, 343, 1341, 795, 7117, 344, 1341, 737, 7117, 345, 780, 288, 844, 15715, 542, 6585, 519, 7285, 538, 519, 1483, 543, 16494, 2694, 269, 5221, 789, 616, 782, 5916, 267, 1022, 10047, 1472, 513, 4999, 540, 7852, 666, 581, 4330, 269, 2372, 15715, 687, 666, 581, 10736, 883, 476, 274, 343, 274, 24364, 5119, 525, 780, 8450, 849, 1384, 3758, 281, 1315, 24728, 10915, 8276, 1385, 270, 4118, 4882, 6312, 658, 20675, 845, 725, 21867, 267, 476, 1428, 30641, 267, 2073, 8242, 281, 476, 1708, 274, 270, 1556, 270, 279, 476, 866, 281, 1704, 267, 2199, 942, 281, 476, 1708, 275, 270, 273, 270, 1839, 476, 1240, 281, 736, 267, 570, 8008, 21832, 670, 5085, 303, 674, 18853, 281, 1109, 476, 4097, 269, 14225, 269, 15433, 269, 15996, 281, 299, 8104, 5442, 692, 9736, 1708, 275, 1452, 3817, 616, 6039, 1510, 5010, 13384, 11208, 269, 630, 5591, 1402, 1575, 18537, 267, 3092, 1862, 1040, 289, 663, 12296, 6057, 4679, 16475, 1942, 16550, 13384, 11208, 610, 9505, 6658, 269, 901, 7746, 26490, 1947, 1219, 1742, 1996, 12747, 25718, 585, 1022, 2601, 1519, 22356, 13156, 267, 5918, 6473, 267, 3092, 1862, 7490, 2463, 713, 10421, 543, 11298, 10691, 681, 7709, 24199, 590, 25492, 269, 5999, 286, 8923, 11298, 3095, 547, 713, 2985, 256, 6226, 326, 621, 256, 1109, 270, 1109, 7246, 17395, 256, 32085, 26306, 19336, 4569, 10613, 692, 5475, 596, 1265, 606, 3617, 2985, 267, 596, 616, 14376, 547, 707, 547, 713, 2527, 332, 785, 3135, 256, 630, 14006, 338, 786, 581, 7298, 1152, 547, 596, 1354, 2689, 264, 3807, 1826, 513, 8799, 5048, 630, 26211, 6835, 616, 17808, 607, 28417, 264, 538, 519, 4216, 543, 2046, 519, 5403, 7735, 269, 630, 12487, 7876, 20888, 267, 855, 711, 519, 2999, 288, 11090, 281, 5502, 267, 946, 519, 3095, 4216, 547, 3095, 547, 1776, 2985, 269, 589, 5850, 568, 2139, 16840, 666, 21189, 547, 2022, 2047, 267, 1831, 2985, 15769, 267, 543, 581, 20295, 585, 741, 9708, 780, 29791, 286, 1109, 21607, 1109, 527, 1109, 1877, 912, 604, 1109, 9767, 1109, 342, 656, 1109, 320, 1109, 24978, 267, 5225, 1109, 10938, 1109, 20365, 1109, 16942, 1109, 5417, 816, 912, 16920, 333, 838, 27980, 281, 2353, 9708, 616, 12649, 1354, 1373, 1500, 7298, 547, 4896, 824, 982, 519, 16968, 563, 9894, 596, 1265, 1018, 596, 2877, 286, 834, 5591, 269, 594, 6415, 3168, 585, 281, 834, 834, 5591, 269, 6875, 803, 547, 519, 3406, 2985, 1701, 834, 5591, 269, 6875, 803, 547, 519, 1283, 865, 594, 666, 16590, 1524, 676, 3032, 698, 800, 257, 834, 5591, 269, 594, 6415, 8348, 547, 2628, 585, 948, 267, 5225, 3277, 803, 547, 513, 11727, 22639, 5016, 2162, 8080, 547, 521, 343, 4289, 2593, 2439, 306, 924, 6462, 676, 454, 338, 2297, 267, 6994, 1944, 2676, 261, 2186, 20334, 454, 3286, 899, 596, 2439, 8923, 1810, 1405, 18009, 11305, 4878, 454, 263, 1877, 781, 1946, 692, 290, 641, 625, 540, 519, 3135, 593, 7131, 454, 732, 2139, 693, 8766, 1942, 780, 269, 0, 258, 2979, 692, 297, 4141, 6499, 547, 6443, 513, 15547, 1141, 972, 616, 1079, 5079, 585, 15376, 11033, 269, 14893, 589, 568, 2139, 585, 8096, 4037, 1524, 543, 8096, 1428, 829, 3923, 269, 14893, 645, 568, 2139, 585, 1100, 2724, 1524, 543, 8096, 1839, 829, 3923, 269, 1280, 875, 1082, 3275, 1058, 15608, 581, 513, 4759, 547, 1118, 3903, 589, 14949, 982, 3903, 645, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 274, 269, 26461, 479, 454, 272, 269, 4194, 585, 544, 267, 519, 1297, 540, 3275, 692, 1428, 332, 1341, 476, 4037, 18016, 476, 1839, 332, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 2979, 692, 956, 12340, 16976, 547, 6443, 513, 15547, 1547, 1352, 1590, 2628, 513, 10865, 13927, 7132, 513, 835, 910, 5503, 13927, 547, 1930, 513, 15376, 269, 901, 3510, 666, 581, 24018, 676, 519, 4082, 476, 4649, 343, 1341, 476, 3199, 1547, 2491, 875, 1142, 1297, 543, 4484, 538, 519, 4082, 12211, 547, 519, 692, 273, 269, 12693, 2657, 692, 272, 269, 898, 568, 711, 2009, 547, 1205, 513, 1434, 15904, 693, 1753, 269, 6936, 2608, 16178, 476, 273, 269, 4107, 1753, 3937, 568, 7199, 269, 2608, 12148, 8771, 476, 274, 269, 589, 25500, 17524, 568, 513, 1434, 3903, 540, 1753, 3937, 585, 513, 1268, 945, 6499, 547, 2087, 741, 9025, 8516, 780, 274, 269, 12693, 2979, 692, 6614, 1695, 803, 1586, 594, 991, 948, 609, 713, 1966, 281, 898, 3790, 8096, 3374, 547, 6443, 513, 15547, 269, 634, 10865, 13927, 568, 8096, 1839, 269, 3503, 543, 3113, 606, 3830, 538, 1079, 4632, 602, 4564, 519, 2698, 1942, 540, 513, 15547, 15376, 269, 2913, 544, 2099, 519, 1297, 540, 3275, 692, 275, 269, 12693, 620, 3455, 3630, 692, 288, 15547, 15376, 3790, 8096, 1839, 547, 6443, 543, 8096, 1691, 1142, 3923, 269, 3503, 543, 946, 606, 15821, 4082, 547, 1265, 519, 1942, 540, 519, 15547, 15376, 585, 476, 277, 3275, 780, 272, 269, 12693, 10789, 692, 272, 2529, 574, 680, 1518, 519, 1739, 4082, 269, 476, 275, 263, 736, 266, 1321, 264, 383, 371, 263, 275, 268, 274, 264, 476, 275, 263, 736, 266, 1321, 21680, 476, 272, 476, 275, 476, 3953, 21680, 476, 272, 476, 12553, 476, 273, 6993, 15547, 15376, 1942, 8096, 1839, 547, 6443, 543, 8096, 1691, 513, 3923, 269, 3503, 543, 946, 606, 15821, 4082, 547, 1265, 519, 1942, 540, 519, 15547, 15376, 585, 476, 277, 3275, 780, 273, 269, 12693, 13878, 295, 692, 339, 295, 16730, 25758, 476, 275, 674, 9281, 8025, 16998, 32767, 14160, 19798, 2464, 5442, 589, 590, 29558, 5357, 269, 661, 21815, 14160, 19798, 13201, 476, 2190, 22295, 19006, 269, 535, 3036, 661, 21815, 717, 312, 300, 25783, 296, 7495, 267, 29375, 302, 674, 9281, 8025, 16998, 32767, 14160, 19798, 2464, 25526, 17395, 717, 312, 300, 570, 8104, 24518, 2207, 269, 512, 295, 16730, 25758, 476, 1015, 717, 312, 300, 25783, 296, 7495, 306, 5442, 20231, 667, 7838, 5058, 590, 29558, 5357, 654, 7417, 298, 269, 530, 295, 2969, 5442, 19489, 7246, 3582, 4959, 715, 3036, 17252, 3633, 3633, 9215, 16658, 13543, 692, 274, 269, 12693, 10789, 692, 299, 525, 12340, 16976, 547, 6443, 519, 15547, 269, 2701, 1590, 2628, 513, 10865, 13927, 7132, 513, 835, 6066, 13927, 547, 1930, 513, 15376, 269, 901, 3510, 666, 581, 24018, 676, 519, 4082, 476, 4649, 343, 1341, 476, 3199, 269, 11512, 875, 1142, 1297, 543, 4484, 538, 519, 4082, 12211, 547, 519, 692, 275, 269, 12693, 10789, 692, 288, 8630, 4867, 814, 476, 4968, 2818, 945, 2628, 8096, 476, 6110, 829, 3923, 585, 15376, 546, 1132, 269, 634, 25991, 8630, 781, 4604, 2818, 1616, 547, 2333, 10865, 8907, 676, 16715, 519, 10865, 546, 1132, 538, 13922, 540, 19788, 1007, 2818, 269, 589, 2344, 1382, 1353, 692, 272, 269, 12693, 2979, 692, 288, 15376, 693, 717, 1047, 548, 779, 717, 2096, 3790, 8096, 13970, 547, 6443, 543, 8096, 274, 585, 1142, 3643, 269, 589, 15376, 693, 12049, 23135, 779, 24524, 3790, 8096, 4037, 547, 6443, 543, 8096, 276, 585, 1142, 3643, 269, 1280, 799, 1297, 540, 11564, 1131, 1312, 6753, 723, 519, 1482, 2698, 1942, 2496, 273, 269, 12693, 4569, 692, 320, 15547, 15376, 10997, 606, 3355, 13927, 585, 8096, 1911, 7132, 513, 8096, 1839, 1863, 1169, 3923, 1776, 15547, 10997, 8096, 3393, 1169, 3923, 1310, 875, 1082, 3275, 786, 519, 2698, 1942, 585, 1312, 14934, 916, 581, 519, 1482, 692, 274, 269, 12693, 2979, 692, 2005, 3790, 8096, 3374, 547, 6443, 513, 15547, 269, 634, 10865, 13927, 568, 8096, 1839, 780, 275, 269, 12693, 4569, 692, 4263, 6004, 17679, 573, 781, 681, 550, 1023, 596, 666, 6443, 1010, 966, 2839, 11833, 585, 513, 10865, 15376, 13927, 540, 8096, 1789, 269, 5141, 889, 2818, 2628, 1152, 8096, 269, 5952, 547, 10519, 1142, 7260, 269, 1403, 596, 616, 711, 513, 4759, 540, 519, 966, 2839, 11833, 267, 519, 9413, 10519, 585, 8096, 273, 269, 1839, 1142, 32289, 1082, 7044, 1131, 596, 0, 290, 12973, 692, 258, 634, 17848, 700, 1371, 26435, 910, 476, 272, 692, 1012, 476, 1015, 5999, 14330, 304, 4530, 717, 12442, 661, 4753, 630, 16978, 16361, 264, 476, 1708, 273, 631, 1442, 4530, 10022, 1923, 634, 17848, 700, 1371, 26435, 910, 476, 272, 692, 20373, 454, 1607, 23769, 1449, 540, 634, 17848, 700, 1371, 26435, 910, 476, 272, 585, 15379, 7177, 630, 7417, 264, 2337, 596, 585, 1169, 15379, 7177, 630, 7417, 264, 13675, 981, 269, 901, 3568, 476, 1015, 13038, 14893, 5999, 585, 15379, 7177, 630, 7417, 264, 634, 17848, 700, 1371, 26435, 910, 476, 272, 630, 32508, 336 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7024, 513, 8675, 7222, 454, 825, 547, 513, 3768, 20526, 3113, 609, 4351, 4296, 454, 825, 1851, 519, 9138, 1297, 540, 9136, 269, 18411, 825, 3113, 815, 31460, 825, 585, 6843, 538, 2039, 16325, 5332, 3941, 2187, 1038, 6316, 8217, 815, 2039, 16325, 5332, 3941, 994, 1038, 1948, 4351, 1125, 1934, 2336, 1038, 4351, 11075, 28984, 263, 8354, 8217, 994, 1038, 4351, 318, 539, 2471, 815, 6316, 8217, 11468, 12690, 27110, 263, 271, 267, 6352, 263, 8354, 8217, 4297, 2639, 1038, 952, 6843, 538, 4351, 318, 539, 2471, 912, 2018, 4351, 318, 539, 2471, 31927, 27316, 994, 1038, 3113, 269, 26303, 20719, 27161, 281, 1305, 263, 12690, 318, 539, 2471, 14587, 994, 825, 2132, 3113, 454, 258, 1872, 1429, 815, 1118, 318, 12690, 318, 1872, 1429, 263, 1015, 994, 258, 1721, 6221, 538, 579, 23054, 912, 258, 825, 1820, 6221, 267, 579, 23054, 314, 14403, 6540, 454, 3698, 1118, 318, 14814, 5091, 15572, 16325, 5332, 3941, 284, 271, 2187, 825, 15981, 307, 1389, 519, 1297, 540, 9136, 1003, 5332, 3941, 454, 825, 543, 7024, 513, 8675, 7222, 454, 825, 547, 513, 2347, 9859, 3113, 454, 825, 609, 519, 9138, 1297, 540, 9136, 269, 18411, 825, 3113, 815, 31460, 825, 585, 6843, 538, 2039, 16325, 5332, 3941, 2187, 1038, 6316, 8217, 815, 2039, 16325, 5332, 3941, 994, 1038, 6316, 8217, 31927, 27316, 994, 1038, 3113, 269, 26303, 20719, 27161, 281, 1305, 263, 8354, 8217, 14587, 994, 825, 2132, 3113, 7531, 3698, 1118, 318, 2207, 5091, 15572, 16325, 5332, 3941, 267, 5506, 2187, 825, 15981, 307, 1389, 519, 1297, 540, 9136, 1003, 5332, 3941, 454, 825, 543, 7024, 513, 8675, 7222, 454, 825, 547, 513, 9859, 3113, 609, 4351, 4296, 454, 825, 1851, 519, 9138, 1297, 540, 9136, 269, 18411, 825, 3113, 815, 31460, 825, 585, 6843, 538, 2039, 16325, 5332, 3941, 2187, 1038, 8728, 815, 1496, 329, 585, 1775, 538, 1535, 9792, 16325, 5332, 3941, 264, 585, 795, 538, 1535, 9792, 9217, 264, 952, 4351, 20179, 3890, 2999, 5506, 2639, 1038, 3113, 269, 26303, 20719, 27161, 281, 1305, 263, 539, 2471, 14587, 994, 825, 2132, 3113, 7531, 3698, 1118, 318, 2207, 5091, 15572, 273, 16325, 5332, 3941, 267, 5506, 2187, 825, 3113, 815, 31460, 825, 9136, 815, 2039, 3799, 994, 825, 585, 6843, 538, 9136, 912, 1038, 8728, 815, 11713, 1038, 585, 795, 599, 538, 9136, 912, 2018, 952, 4351, 20179, 3890, 2999, 5506, 543, 795, 599, 11203, 6843, 912, 3546, 8728, 6910, 27203, 599, 994, 1038, 3113, 19559, 1712, 316, 815, 1305, 263, 539, 2471, 994, 825, 2132, 3113, 7531, 3698, 1118, 14682, 1429, 32707, 5183, 4671, 7434, 3799, 31599, 2187, 825, 546, 11985, 14682, 1429, 284, 24708, 318, 14814, 5091, 15572, 9852, 994, 825, 546, 11985, 4671, 7434, 318, 28128, 284, 7894, 2969, 7434, 9852, 994, 825, 585, 1775, 538, 2039, 9852, 19885, 2187, 1038, 546, 11985, 14682, 1429, 5157, 24557, 323, 11985, 4671, 7434, 318, 28128, 269, 14725, 4671, 7434, 9852, 994, 825, 2132, 546, 11985, 14682, 1429, 7531, 3698, 1118, 14682, 1429, 32707, 5183, 3799, 31599, 2187, 825, 546, 11985, 14682, 1429, 284, 24708, 318, 14814, 5091, 15572, 9852, 994, 825, 9103, 785, 1122, 815, 544, 16732, 332, 268, 272, 264, 476, 1948, 13707, 538, 1673, 1122, 4181, 547, 1376, 609, 454, 825, 7003, 5091, 11985, 14682, 1429, 284, 332, 454, 825, 538, 5091, 12801, 18045, 284, 18743, 269, 5228, 12399, 263, 9792, 9852, 1070, 332, 268, 272, 994, 825, 1948, 306, 1729, 637, 543, 15387, 519, 538, 24266, 12523, 540, 1142, 6843, 454, 825, 546, 11985, 4671, 7434, 318, 28128, 284, 7894, 2969, 7434, 9852, 994, 825, 585, 1775, 538, 2039, 9852, 19885, 2187, 1038, 1305, 24449, 318, 8663, 815, 1305, 8443, 7481, 1038, 7003, 27133, 24449, 318, 8663, 815, 476, 271, 454, 1038, 585, 795, 27161, 538, 546, 11985, 14682, 1429, 912, 2018, 2625, 14352, 514, 5091, 12801, 18045, 14728, 27161, 27994, 272, 19422, 339, 582, 785, 1122, 1341, 7003, 5091, 11985, 14682, 1429, 994, 2018, 952, 4351, 20179, 3890, 283, 22238, 912, 3546, 1305, 24449, 318, 8663, 14491, 27203, 27161, 994, 3546, 538, 5091, 12801, 18045, 14728, 27161, 316, 23785, 272, 454, 3546, 9103, 785, 1122, 23785, 272, 454, 3546, 7003, 27133, 24449, 318, 8663, 23785, 272, 454, 2018, 952, 7003, 27133, 24449, 318, 8663, 2525, 332, 268, 272, 912, 3546, 2736, 454, 1038, 546, 11985, 14682, 1429, 5157, 24557, 3553, 24449, 318, 8663, 1948, 2908, 6843, 3773, 609, 8728, 10678, 593, 1142, 1871, 538, 1305, 24449, 318, 8663, 454, 1038, 538, 5091, 12801, 18045, 5157, 24557, 271, 1948, 763, 1007, 6843, 1131, 865, 2484, 723, 1100, 8728, 10678, 593, 621, 563, 1038, 7003, 5091, 11985, 14682, 1429, 23785, 272, 454, 825, 2132, 546, 11985, 14682, 1429, 7531, 3698, 1118, 14682, 1429, 318, 308, 5183, 4671, 7434, 3799, 31599, 2187, 825, 909, 320, 14682, 1429, 284, 24708, 318, 14814, 5091, 15572, 9852, 994, 825, 909, 320, 4671, 7434, 318, 28128, 284, 16810, 2969, 7434, 9852, 994, 825, 585, 1775, 538, 2039, 9852, 19885, 2187, 1038, 909, 320, 14682, 1429, 5157, 24557, 1575, 320, 4671, 7434, 318, 28128, 269, 14725, 4671, 7434, 9852, 994, 825, 2132, 909, 320, 14682, 1429, 7531, 3698, 1118, 14682, 1429, 318, 308, 5183, 3799, 31599, 2187, 825, 909, 320, 14682, 1429, 284, 24708, 318, 14814, 5091, 15572, 9852, 994, 825, 9103, 785, 1122, 815, 544, 16732, 332, 268, 272, 264, 476, 1948, 13707, 538, 1673, 1122, 4181, 547, 1376, 609, 454, 825, 7003, 318, 1575, 320, 14682, 1429, 284, 332, 454, 825, 538, 5091, 12801, 18045, 284, 18743, 269, 5228, 12399, 263, 9792, 9852, 1070, 332, 268, 272, 994, 825, 1948, 306, 1729, 637, 543, 15387, 519, 538, 24266, 12523, 540, 1142, 6843, 454, 825, 909, 320, 4671, 7434, 318, 28128, 284, 16810, 2969, 7434, 9852, 994, 825, 585, 1775, 538, 2039, 9852, 19885, 2187, 1038, 1305, 24449, 318, 8663, 815, 1305, 8443, 7481, 1038, 7003, 27133, 24449, 318, 8663, 815, 476, 271, 454, 1038, 585, 795, 27161, 538, 909, 320, 14682, 1429, 912, 2018, 2625, 14352, 514, 5091, 12801, 18045, 14728, 27161, 27994, 272, 19422, 339, 582, 785, 1122, 1341, 7003, 318, 1575, 320, 14682, 1429, 994, 2018, 952, 4351, 20179, 3890, 283, 22238, 912, 3546, 1305, 24449, 318, 8663, 14491, 27203, 27161, 994, 3546, 538, 5091, 12801, 18045, 14728, 27161, 316, 23785, 272, 454, 3546, 9103, 785, 1122, 23785, 272, 454, 3546, 7003, 27133, 24449, 318, 8663, 23785, 272, 454, 2018, 952, 7003, 27133, 24449, 318, 8663, 2525, 332, 268, 272, 912, 3546, 2736, 454, 1038, 909, 320, 14682, 1429, 5157, 24557, 3553, 24449, 318, 8663, 1948, 2908, 6843, 3773, 609, 8728, 10678, 593, 1142, 1871, 538, 1305, 24449, 318, 8663, 454, 1038, 538, 5091, 12801, 18045, 5157, 24557, 271, 1948, 763, 1007, 6843, 1131, 865, 2484, 723, 1100, 8728, 10678, 593, 621, 563, 1038, 7003, 318, 1575, 320, 14682, 1429, 23785, 272, 454, 825, 2132, 909, 320, 14682, 1429, 7531, 3698, 6460, 15461, 318, 1495, 20526, 5560, 15572, 2187, 825, 585, 6843, 538, 2007, 1429, 912, 1038, 585, 6316, 538, 2007, 1429, 19559, 1712, 14158, 2018, 2007, 1429, 314, 8354, 4940, 5417, 27316, 994, 825, 2132, 2007, 1429, 7531, 3698, 5299, 14682, 1429, 14116, 1429, 2187, 825, 23288, 825, 5269, 513, 5299, 540, 513, 3113, 454, 825, 23288, 825, 1007, 14682, 1429, 815, 31460, 825, 585, 6843, 538, 3113, 912, 1038, 1007, 14682, 1429, 19559, 1712, 316, 815, 1305, 14116, 1429, 19559, 1712, 7481, 825, 2132, 1007, 14682, 1429, 7531, 3698, 18419, 17045, 263, 1872, 1429, 267, 6843, 2187, 825, 23288, 825, 1546, 8541, 513, 6843, 689, 606, 3768, 20526, 3113, 454, 825, 23288, 825, 12543, 815, 579, 23054, 19559, 1712, 2639, 825, 579, 23054, 21014, 27316, 994, 825, 585, 7023, 538, 12543, 912, 1038, 579, 23054, 314, 31371, 4011, 4940, 24525, 27316, 994, 672, 692, 3698, 6098, 318, 4650, 263, 1872, 1429, 2187, 825, 23288, 825, 30770, 513, 6098, 4323, 1931, 9967, 454, 825, 540, 9136, 540, 31062, 4110, 22562, 825, 16849, 912, 825, 589, 1592, 540, 9136, 454, 825, 23288, 825, 1948, 5299, 519, 3113, 454, 825, 1007, 14682, 1429, 815, 5299, 14682, 1429, 263, 1872, 1429, 994, 8931, 825, 1931, 815, 32582, 8931, 825, 1247, 7003, 28956, 14682, 1429, 264, 3436, 476, 271, 912, 1038, 3193, 5091, 12801, 815, 910, 272, 454, 1038, 585, 6843, 538, 1007, 14682, 1429, 912, 2018, 952, 7003, 28956, 14682, 1429, 19559, 1712, 8079, 3436, 3193, 5091, 12801, 912, 3546, 3193, 5091, 12801, 815, 7003, 28956, 14682, 1429, 19559, 1712, 7481, 3546, 3193, 5091, 12801, 17045, 815, 6843, 28329, 1038, 12543, 815, 1007, 14682, 1429, 314, 10946, 5091, 12801, 17045, 2639, 1038, 1007, 14682, 1429, 21014, 32384, 5091, 12801, 17045, 994, 1038, 585, 7023, 538, 12543, 912, 2018, 1007, 14682, 1429, 314, 31371, 4011, 4940, 24525, 32384, 5091, 12801, 17045, 2020, 1038, 1931, 6910, 32384, 5091, 12801, 17045, 994, 825, 2132, 1931, 7531, 3698, 5173, 318, 539, 2471, 14116, 1429, 2187, 825, 737, 815, 11713, 825, 585, 6843, 538, 3113, 912, 1038, 8728, 30648, 17045, 815, 11713, 1038, 585, 6221, 538, 3113, 19559, 1712, 14158, 2018, 14584, 815, 15044, 8443, 27161, 267, 6221, 7481, 2018, 8728, 30648, 17045, 6910, 263, 591, 23753, 994, 1038, 737, 6834, 8728, 30648, 17045, 454, 825, 3803, 8217, 815, 11713, 825, 585, 6221, 538, 737, 912, 1038, 952, 6221, 711, 538, 3803, 8217, 912, 2018, 3803, 8217, 6910, 263, 14403, 994, 825, 2132, 7003, 6600, 1400, 8217, 9239, 3698, 4351, 318, 4650, 14116, 1429, 2187, 825, 4351, 4289, 815, 11713, 825, 585, 6843, 538, 3113, 912, 1038, 4351, 4289, 6910, 27316, 994, 825, 4351, 11075, 28984, 263, 12690, 4289, 994, 825, 2132, 4351, 4289, 7531, 3698, 6098, 318, 4650, 263, 1872, 1429, 2187, 825, 23288, 825, 30770, 513, 6098, 4323, 1931, 9967, 454, 825, 540, 9136, 540, 31062, 4110, 22562, 825, 16849, 912, 825, 589, 1592, 540, 9136, 454, 825, 23288, 825, 1948, 5299, 519, 3113, 454, 825, 1007, 14682, 1429, 815, 5299, 14682, 1429, 263, 1872, 1429, 994, 8931, 825, 1931, 815, 32582, 8931, 825, 1247, 7003, 28956, 14682, 1429, 264, 3436, 476, 271, 912, 1038, 3193, 5091, 12801, 815, 910, 272, 454, 1038, 585, 6843, 538, 1007, 14682, 1429, 912, 2018, 952, 7003, 28956, 14682, 1429, 19559, 1712, 8079, 3436, 3193, 5091, 12801, 912, 3546, 3193, 5091, 12801, 815, 7003, 28956, 14682, 1429, 19559, 1712, 7481, 3546, 3193, 5091, 12801, 17045, 815, 6843, 28329, 1038, 12543, 815, 1007, 14682, 1429, 314, 10946, 5091, 12801, 17045, 2639, 1038, 1007, 14682, 1429, 21014, 32384, 5091, 12801, 17045, 994, 1038, 585, 7023, 538, 12543, 912, 2018, 1007, 14682, 1429, 314, 31371, 4011, 4940, 24525, 32384, 5091, 12801, 17045, 2020, 1038, 1931, 6910, 32384, 5091, 12801, 17045, 994, 825, 2132, 1931, 7531, 5503, 271, 815, 942, 28333, 4590, 333, 815, 476, 16328, 278, 454, 258, 3077, 8548, 815, 476, 25313, 273, 454, 258, 1820, 262, 333, 281, 22779, 258, 1820, 562, 454, 2207, 5091, 15572, 815, 1118, 318, 2207, 5091, 15572, 273, 3799, 267, 476, 271, 269, 9826, 4037, 994, 308, 5183, 14682, 1429, 815, 1118, 14682, 1429, 318, 308, 5183, 4671, 7434, 3799, 267, 273, 994, 258, 942, 272, 815, 942, 28333, 3890, 268, 5503, 271, 454, 258, 1820, 1412, 332, 281, 22779, 258, 1820, 5173, 318, 539, 2471, 263, 2207, 5091, 15572, 994, 258, 942, 273, 815, 942, 28333, 3890, 268, 5503, 271, 454, 2207, 318, 1872, 1429, 815, 6460, 15461, 318, 1495, 20526, 263, 2207, 5091, 15572, 994, 2745, 1826, 263, 2207, 318, 1872, 1429, 994, 32476, 2207, 815, 5299, 14682, 1429, 263, 2207, 318, 1872, 1429, 994, 308, 5183, 318, 1872, 1429, 815, 6460, 15461, 318, 1495, 20526, 263, 308, 5183, 14682, 1429, 994, 2745, 1826, 263, 308, 5183, 318, 1872, 1429, 994, 32476, 308, 5183, 815, 5299, 14682, 1429, 263, 308, 5183, 318, 1872, 1429, 994, 23054, 318, 14766, 815, 834, 10674, 2517, 560, 4392, 269, 2998, 4355, 777, 529, 2593, 11305, 3941, 330, 592, 696, 528, 268, 14607, 270, 14607, 24417, 325, 278, 17902, 4840, 26367, 5332, 564, 1740, 14682, 1429, 815, 4452, 14682, 1429, 14116, 1429, 318, 14766, 994, 32476, 25892, 815, 5299, 14682, 1429, 263, 26367, 5332, 564, 1740, 14682, 1429, 994, 2745, 1826, 263, 26367, 5332, 564, 1740, 14682, 1429, 994, 2745, 1412, 1366, 734, 10955, 2471, 1366, 734, 7055, 2745, 1412, 2207, 318, 1872, 1429, 281, 22779, 2745, 5173, 318, 539, 2471, 263, 2207, 318, 1872, 1429, 994, 2745, 1412, 308, 5183, 318, 1872, 1429, 281, 22779, 2745, 5173, 318, 539, 2471, 263, 308 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 782, 519, 2244, 689, 7262, 2342, 519, 1862, 4279, 2560, 25840, 19332, 267, 2705, 267, 3957, 1010, 6264, 333, 788, 515, 342, 267, 575, 2967, 639, 4239, 822, 3780, 630, 256, 22337, 787, 729, 1476, 4593, 730, 649, 723, 849, 1044, 5227, 585, 3872, 946, 676, 519, 6845, 2209, 538, 2136, 256, 19332, 630, 476, 1911, 1765, 4510, 14514, 3738, 4957, 7507, 11014, 538, 10255, 543, 5125, 543, 998, 24222, 1932, 267, 646, 3893, 1390, 2560, 25840, 19332, 630, 476, 1911, 1765, 4510, 14514, 3738, 7507, 1862, 9282, 621, 729, 513, 22125, 2539, 11665, 1858, 602, 729, 849, 29200, 607, 513, 7669, 1067, 713, 2985, 723, 269, 2142, 523, 519, 18678, 569, 1390, 812, 602, 646, 17216, 729, 616, 5705, 569, 733, 337, 1882, 547, 1118, 519, 5667, 639, 1051, 532, 5467, 19332, 269, 2060, 1010, 1850, 687, 543, 4682, 547, 5527, 1141, 646, 4397, 547, 1265, 2828, 689, 1010, 1448, 540, 2070, 267, 2119, 269, 3571, 32042, 568, 519, 1101, 17396, 2272, 31607, 1448, 540, 2070, 267, 547, 19332, 11313, 521, 538, 256, 1306, 513, 14407, 608, 12000, 3130, 269, 3738, 930, 7126, 27616, 630, 476, 1220, 280, 268, 1708, 271, 3738, 896, 15567, 3780, 32614, 4214, 3504, 17858, 21922, 9539, 517, 4467, 14293, 27691, 732, 2704, 833, 269, 22367, 5529, 540, 1010, 3993, 11313, 521, 1101, 1651, 2720, 542, 883, 519, 3703, 568, 956, 3738, 616, 733, 337, 1882, 1862, 1261, 849, 2968, 2828, 609, 519, 7377, 592, 732, 1249, 542, 31225, 547, 2272, 267, 585, 2797, 18259, 538, 1862, 6271, 2361, 538, 799, 19332, 11313, 521, 9419, 787, 729, 1476, 4593, 730, 1510, 1797, 540, 5885, 610, 269, 654, 550, 2484, 3564, 519, 4170, 540, 1010, 10617, 616, 5705, 569, 733, 337, 1882, 547, 1118, 922, 23801, 593, 256, 2986, 873, 609, 9310, 2021, 15760, 4149, 288, 3738, 31225, 547, 2272, 267, 585, 2797, 18259, 267, 1715, 3840, 267, 808, 256, 674, 558, 5034, 18326, 538, 519, 2136, 8003, 1249, 723, 606, 26035, 609, 25048, 701, 344, 11313, 9419, 787, 256, 12280, 338, 267, 4239, 822, 1014, 10288, 7581, 641, 21358, 11313, 521, 6609, 540, 6628, 693, 519, 5441, 1377, 540, 476, 275, 267, 10384, 17837, 607, 4487, 569, 269, 634, 4936, 6243, 883, 519, 4936, 12504, 787, 729, 9991, 6408, 547, 5837, 2807, 1656, 6364, 540, 519, 1034, 1271, 5515, 538, 519, 1032, 476, 1911, 7460, 267, 19332, 729, 32043, 11474, 31503, 1421, 855, 789, 941, 562, 1405, 3638, 676, 4936, 4441, 7507, 281, 594, 9188, 540, 4728, 476, 4510, 645, 5861, 543, 18706, 3780, 2933, 1862, 1656, 2168, 942, 540, 1010, 2797, 20440, 22415, 1117, 267, 1369, 513, 2582, 5859, 532, 4005, 267, 689, 519, 11676, 6625, 519, 1862, 13924, 1345, 23012, 689, 519, 11676, 6625, 5211, 609, 1010, 1850, 687, 543, 22415, 1117, 593, 519, 2749, 540, 7507, 646, 513, 256, 1306, 9598, 1807, 689, 476, 5392, 268, 4510, 7460, 267, 25840, 19332, 910, 22186, 787, 333, 7843, 335, 652, 476, 1724, 540, 5147, 538, 476, 1911, 907, 5384, 1354, 519, 6243, 1131, 2887, 26056, 808, 1318, 547, 707, 28600, 562, 7572, 766, 256, 6176, 689, 2037, 9871, 320, 4215, 27429, 543, 711, 5824, 267, 607, 729, 519, 8473, 1063, 519, 7013, 540, 1862, 9457, 569, 5398, 10584, 538, 606, 2085, 538, 799, 19332, 11313, 521, 7385, 267, 631, 1075, 807, 267, 729, 269, 1261, 17204, 519, 11829, 545, 6205, 7638, 1424, 564, 528, 1460, 543, 6192, 519, 21037, 540, 717, 4954, 267, 256, 700, 3151, 1018, 646, 1185, 2944, 538, 8050, 543, 17956, 519, 10665, 540, 519, 1272, 540, 519, 543, 256, 6181, 527, 4476, 19332, 542, 607, 1010, 4332, 1032, 3738, 851, 6066, 7905, 540, 13898, 693, 3057, 626, 267, 256, 7348, 519, 3504, 1686, 15610, 7690, 568, 513, 10805, 9167, 22028, 12591, 267, 4503, 543, 31607, 267, 15151, 6039, 5301, 1862, 5527, 267, 7581, 641, 21358, 12479, 19332, 1131, 5431, 543, 11307, 4476, 19332, 542, 607, 1010, 5067, 543, 25752, 799, 646, 729, 538, 1101, 256, 11572, 18259, 5449, 851, 6066, 7905, 540, 13898, 693, 3057, 626, 5441, 267, 1715, 3840, 267, 26056, 808, 12081, 269, 19478, 267, 596, 616, 3858, 532, 547, 3377, 267, 3091, 267, 543, 30732, 7410, 616, 4503, 723, 1010, 1862, 1677, 2272, 267, 585, 2797, 18259, 4845, 729, 24850, 998, 519, 954, 20896, 1010, 1862, 769, 8050, 543, 17956, 519, 10665, 540, 519, 13983, 1723, 7304, 2674, 10340, 1185, 1271, 3140, 2360, 972, 1175, 607, 1185, 256, 14929, 539, 19332, 1131, 5431, 543, 11307, 4476, 19332, 542, 607, 1010, 5067, 543, 25752, 723, 1114, 24416, 907, 634, 1985, 476, 5611, 1296, 267, 595, 6737, 519, 12004, 10455, 4797, 547, 581, 6591, 998, 21037, 267, 19332, 729, 513, 966, 5534, 23511, 267, 3332, 267, 543, 1344, 689, 2037, 9871, 320, 4215, 27429, 2063, 9168, 4989, 476, 2764, 267, 476, 1001, 272, 269, 4179, 12262, 4178, 269, 534, 2615, 4318, 340, 270, 19878, 3780, 318, 25519, 14008, 270, 256, 634, 3540, 2112, 540, 476, 5392, 1700, 3393, 2705, 267, 19332, 17204, 519, 11829, 545, 2112, 543, 1558, 538, 6370, 256, 11531, 519, 22122, 540, 519, 4936, 23731, 8944, 606, 1313, 7100, 602, 1223, 2760, 26063, 581, 27618, 713, 1131, 1611, 1223, 256, 2561, 3285, 622, 873, 607, 26672, 573, 1568, 540, 1148, 851, 6066, 7905, 540, 13898, 693, 519, 3490, 540, 519, 1862, 5384, 540, 1010, 3993, 11313, 521, 21184, 4682, 2484, 3564, 519, 4170, 1010, 1862, 32100, 5006, 812, 538, 7507, 267, 543, 30732, 7410, 616, 4503, 729, 7166, 538, 6370, 1996, 519, 2475, 269, 1656, 6364, 540, 519, 15567, 3780, 32614, 4214, 3504, 17858, 7276, 713, 729, 2808, 606, 957, 540, 2112, 607, 519, 547, 256, 5800, 4815, 540, 519, 5087, 543, 7466, 22983, 6628, 630, 7507, 11313, 521, 2766, 543, 30732, 7410, 616, 4503, 5885, 269, 2060, 1200, 693, 28641, 267, 4440, 9907, 476, 7871, 267, 646, 10710, 5128, 6727, 1862, 476, 1911, 7460, 729, 2560, 15875, 7507, 6257, 519, 1974, 540, 519, 1034, 1271, 5515, 538, 519, 16702, 1063, 519, 1439, 269, 654, 517, 693, 1912, 1513, 31647, 581, 593, 519, 2749, 538, 476, 5392, 14514, 789, 941, 562, 1405, 3638, 676, 4936, 23511, 26062, 15421, 267, 19332, 15110, 1010, 2012, 689, 513, 20380, 1920, 609, 3504, 7895, 580, 872, 26483, 2110, 24331, 676, 4457, 610, 12266, 269, 7316, 646, 4397, 547, 1265, 2828, 689, 1010, 1448, 540, 2070, 267, 547, 19332, 11313, 521, 729, 256, 634, 1985, 476, 5611, 1296, 267, 595, 6737, 519, 12004, 10455, 4797, 547, 581, 6591, 998, 21037, 267, 19332, 729, 32043, 11474, 31503, 269, 1809, 1010, 4845, 729, 24850, 998, 519, 954, 20896, 540, 1010, 2797, 20440, 519, 31503, 609, 25048, 701, 344, 11313, 1967, 832, 269, 1280, 3872, 946, 676, 519, 6845, 2209, 538, 519, 5101, 543, 19332, 2968, 519, 2212, 540, 519, 23511, 3689, 609, 29088, 839, 3780, 543, 15567, 3780, 32614, 4214, 3504, 17858, 609, 595, 545, 3266, 19332, 568, 835, 540, 519, 4936, 7276, 14033, 1862, 1656, 7466, 22983, 6628, 630, 7507, 11313, 521, 1967, 832, 782, 891, 267, 19332, 8678, 519, 540, 269, 966, 574, 1400, 543, 519, 3540, 2112, 7639, 607, 606, 1714, 13228, 550, 10584, 5211, 609, 1010, 1850, 687, 543, 22415, 1117, 593, 2749, 1862, 8672, 540, 2070, 267, 547, 19332, 11313, 521, 18533, 2390, 1010, 5305, 267, 2705, 267, 19332, 729, 3564, 11652, 1862, 1656, 5125, 543, 14612, 998, 5527, 267, 5022, 267, 543, 2663, 540, 519, 16899, 676, 519, 602, 256, 19332, 1500, 1434, 593, 602, 3463, 15555, 712, 568, 23674, 267, 1498, 711, 3833, 865, 13818, 267, 729, 1862, 10313, 8271, 2110, 24331, 676, 4457, 610, 3504, 12266, 4441, 9168, 4989, 476, 2764, 267, 476, 1001, 272, 269, 4179, 281, 2807, 3571, 6589, 540, 15567, 3780, 32614, 4214, 3504, 17858, 2990, 607, 17308, 543, 1010, 7385, 11313, 521, 1034, 8984, 256, 14520, 610, 5722, 811, 5553, 543, 5747, 538, 1010, 28908, 547, 17204, 17837, 267, 799, 14356, 256, 19332, 1500, 1434, 593, 602, 3463, 19332, 11313, 521, 6609, 540, 6628, 693, 519, 6370, 540, 267, 256, 6356, 1947, 519, 19988, 540, 519, 1920, 689, 11829, 545, 561, 2393, 547, 16926, 2797, 8069, 538, 7507, 4728, 476, 4510, 645, 5861, 543, 22983, 1862, 1261, 729, 4535, 538, 476, 1911, 645, 5861, 1114, 24416, 2474, 12206, 2070, 519, 1686, 256, 590, 9419, 787, 729, 1476, 4593, 730, 693, 713, 942, 646, 849, 2968, 2828, 609, 519, 5763, 5006, 812, 538, 7507, 593, 256, 7831, 9168, 4989, 476, 2764, 267, 476, 1001, 272, 269, 4179, 281, 12262, 4178, 269, 534, 2615, 4318, 340, 270, 19878, 3780, 318, 25519, 14008, 270, 1543, 5532, 689, 713, 2985, 949, 723, 24416, 256, 5125, 543, 14612, 998, 5527, 2012, 19332, 2968, 15567, 3780, 32614, 4214, 3504, 17858, 6739, 2262, 512, 338, 541, 630, 524, 345, 541, 1862, 2334, 1223, 2760, 26063, 581, 27618, 519, 2489, 543, 6205, 538, 7507, 11031, 540, 519, 966, 574, 1400, 543, 519, 1439, 269, 14886, 689, 1010, 1448, 540, 2070, 267, 547, 2119, 547, 2322, 6070, 593, 595, 6737, 11313, 521, 10636, 18400, 12602, 1082, 269, 7905, 540, 13898, 693, 3057, 626, 5441, 267, 1715, 3840, 267, 26056, 808, 689, 6727, 2669, 676, 1010, 23258, 513, 256, 15610, 7690, 568, 513, 10805, 9167, 22028, 8259, 6382, 7074, 693, 2560, 646, 931, 592, 256, 281, 594, 9188, 540, 4728, 476, 4510, 645, 5861, 543, 9598, 1807, 540, 7507, 281, 594, 9188, 4728, 1862, 3571, 28908, 547, 17204, 17837, 267, 799, 729, 14356, 3743, 585, 1010, 3527, 950, 646, 729, 6735, 1862, 476, 1321, 610, 476, 1724, 540, 5147, 538, 476, 1911, 7460, 267, 19332, 10645, 646, 513, 1421, 596, 616, 3858, 532, 547, 3377, 267, 3091, 267, 543, 2663, 540, 519, 11829, 545, 543, 2336, 310, 3480, 476, 6507, 278, 645, 2393, 12928, 1057, 267, 1284, 595, 1251, 4469, 334, 1681, 17352, 267, 570, 14243, 337, 6759, 338, 595, 338, 639, 5633, 1234, 10360, 267, 16458, 23051, 674, 2632, 623, 978, 267, 2334, 3481, 9931, 12791, 769, 20474, 267, 7316, 2052, 594, 16179, 589, 853, 532, 2001, 267, 853, 537, 742, 518, 781, 30558, 9509, 338, 9546, 27926, 267, 13130, 4210, 541, 1690, 3848, 29216, 5811, 267, 0, 1103, 1016, 3916, 566, 4483, 8228, 4393, 267, 7802, 5958, 8228, 267, 5958, 4483, 568, 5258, 883, 4062, 4483, 543, 28630, 4483, 269, 769, 713, 4483, 1184, 267, 519, 1505, 540, 4483, 540, 519, 4062, 543, 519, 4483, 540, 519, 28630, 616, 10199, 519, 1482, 563, 272, 269, 7490, 1118, 513, 4483, 3732, 1354, 16801, 4483, 547, 3313, 519, 2837, 543, 942, 540, 519, 3002, 4483, 3684, 602, 5540, 519, 2681, 563, 273, 269, 6969, 4483, 267, 547, 2327, 602, 519, 13504, 27826, 1016, 3916, 566, 4483, 1957, 568, 10416, 3819, 267, 865, 607, 547, 2057, 519, 7613, 540, 18106, 4483, 267, 25859, 267, 3092, 563, 274, 269, 6969, 519, 4483, 267, 519, 13504, 27826, 1016, 3916, 566, 4483, 1957, 4806, 543, 5958, 1058, 581, 27762, 547, 4894, 519, 1957, 29578, 267, 524, 23158, 543, 824, 27589, 593, 519, 5958, 543, 13504, 27826, 8143, 4483, 1957, 267, 865, 607, 547, 2061, 891, 11935, 689, 1373, 9575, 538, 519, 13504, 27826, 3002, 269, 24614, 12889, 2049, 1063, 519, 4483, 1957, 543, 519, 5958, 563, 275, 269, 634, 12136, 540, 15293, 532, 568, 1419, 1813, 547, 519, 3432, 540, 519, 3531, 523, 9668, 568, 1932, 3728, 267, 519, 5580, 3531, 523, 25312, 23455, 1632, 13504, 27826, 1016, 3916, 566, 4483, 1957, 267, 1287, 4188, 519, 1507, 555, 8527, 1479, 11896, 547, 1118, 519, 6676, 3002, 4483, 3684, 12718, 630, 528, 12718, 264, 9668, 3432, 14887, 634, 4483, 540, 519, 13504, 27826, 8143, 4483, 1957, 568, 15286, 689, 9991, 1310, 1373, 647, 22486, 909, 547, 2014, 6281, 1016, 3916, 566, 4483, 543, 15293, 532, 4386, 269, 3680, 15293, 532, 269, 1411, 666, 849, 4019, 1216, 3146, 335, 749, 550, 12308, 4483, 610, 946, 13504, 27826, 4483, 1957, 593, 519, 2185, 15174, 540, 519, 13504, 27826, 4483, 1957, 563, 276, 269, 5221, 519, 31289, 532, 1570, 540, 519, 5377, 6676, 630, 322, 9051, 12308, 267, 26703, 267, 21312, 267, 3092, 4700, 786, 2014, 7050, 1216, 11517, 1282, 519, 4483, 1310, 21716, 519, 7509, 540, 519, 1016, 3916, 566, 17002, 13504, 267, 519, 2681, 540, 519, 4806, 593, 519, 4483, 12308, 786, 581, 1769, 267, 543, 519, 1216, 5134, 786, 2408, 12725, 269, 4475, 267, 1354, 519, 4483, 543, 1282, 519, 4483, 1184, 267, 621, 568, 2556, 547, 3002, 519, 2011, 1896, 2053, 547, 18493 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 7117, 815, 694, 336, 5157, 268, 272, 3910, 694, 336, 5157, 2639, 3546, 8728, 314, 335, 4940, 6572, 32429, 994, 3546, 967, 12801, 314, 336, 316, 6834, 476, 272, 454, 1038, 759, 815, 11713, 1038, 9136, 20699, 1305, 263, 785, 12801, 269, 12399, 15405, 1038, 1247, 9136, 912, 2018, 952, 7003, 3799, 3941, 264, 3436, 476, 272, 912, 3546, 2132, 8771, 454, 2018, 6843, 815, 9136, 21014, 4590, 2018, 759, 6910, 27316, 994, 2018, 585, 1985, 17045, 538, 8728, 19559, 1712, 14158, 3546, 967, 12801, 314, 10113, 17045, 316, 20699, 476, 272, 454, 3546, 952, 967, 12801, 314, 10113, 17045, 316, 2652, 476, 271, 912, 7386, 9136, 14491, 263, 10113, 17045, 994, 1038, 2132, 610, 326, 2652, 759, 543, 782, 17347, 2652, 476, 271, 585, 737, 538, 967, 12801, 269, 11161, 3890, 9239, 306, 815, 8827, 4590, 3073, 815, 1496, 272, 267, 273, 267, 274, 2639, 572, 336, 338, 815, 20886, 272, 267, 273, 25662, 272, 267, 274, 27663, 2745, 22829, 269, 30084, 3725, 18586, 263, 3073, 267, 694, 336, 338, 4917, 3073, 815, 1496, 272, 267, 273, 267, 274, 2639, 572, 336, 338, 815, 20886, 272, 267, 273, 27663, 2745, 22829, 269, 30084, 3725, 18586, 263, 3073, 267, 694, 336, 338, 4917, 3073, 815, 1496, 272, 267, 273, 267, 274, 2639, 572, 336, 338, 815, 20886, 272, 267, 273, 25662, 272, 267, 274, 25662, 273, 267, 274, 27663, 2745, 22829, 269, 30084, 3725, 18586, 263, 3073, 267, 694, 336, 338, 4917, 3073, 815, 1496, 275, 267, 272, 267, 276, 267, 273, 267, 277, 267, 274, 2639, 572, 336, 338, 815, 20886, 276, 267, 273, 267, 277, 267, 274, 25662, 275, 267, 272, 267, 276, 267, 273, 27663, 2745, 22829, 269, 30084, 3725, 18586, 263, 3073, 267, 694, 336, 338, 4917, 3073, 815, 1496, 272, 2639, 572, 336, 338, 815, 20886, 272, 25662, 272, 25662, 272, 27663, 2745, 22829, 269, 30084, 3725, 18586, 263, 3073, 267, 694, 336, 338, 4917, 258, 476, 27447, 24731, 16088, 454, 258, 7301, 454, 258, 28859, 351, 482, 10951, 509, 14756, 497, 31563, 16088, 454, 258, 3020, 454, 3073, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 572, 336, 338, 815, 20886, 272, 267, 273, 267, 274, 267, 275, 267, 276, 25662, 272, 267, 273, 267, 274, 267, 275, 25662, 272, 267, 273, 267, 274, 25662, 272, 25662, 275, 25662, 276, 27663, 2745, 22829, 269, 30084, 3725, 18586, 263, 3073, 267, 694, 336, 338, 4917, 258, 476, 27447, 24731, 16088, 454, 258, 7301, 454, 258, 28859, 351, 482, 10951, 509, 14756, 497, 31563, 16088, 454, 258, 3020, 454, 3073, 815, 1496, 272, 2639, 572, 336, 338, 815, 20886, 272, 25662, 273, 267, 274, 25662, 274, 267, 273, 27663, 2745, 22829, 269, 30084, 3725, 18586, 263, 3073, 267, 694, 336, 338, 4297, 0, 12163, 11693, 606, 8870, 562, 267, 1265, 513, 5311, 602, 25389, 782, 540, 519, 1739, 1384, 763, 8870, 476, 272, 4386, 2899, 538, 519, 5311, 563, 10376, 8870, 1063, 476, 273, 543, 562, 4386, 7466, 538, 519, 5311, 563, 2690, 1169, 8870, 1775, 1063, 476, 273, 543, 562, 267, 519, 3845, 1063, 519, 1079, 20825, 540, 1775, 568, 4010, 1775, 563, 763, 3845, 1063, 1079, 2338, 593, 519, 5311, 267, 513, 5157, 316, 543, 513, 14728, 3910, 568, 519, 6207, 3017, 540, 741, 17523, 267, 1923, 329, 910, 1775, 347, 780, 27987, 519, 682, 13877, 25140, 4102, 5311, 269, 898, 568, 16798, 602, 896, 519, 2016, 10148, 267, 972, 568, 2141, 513, 3070, 780, 288, 5311, 513, 568, 682, 13877, 25140, 3677, 982, 513, 5311, 536, 630, 1993, 519, 1482, 3259, 264, 952, 538, 519, 1101, 2990, 1141, 513, 543, 536, 8428, 267, 5311, 513, 814, 513, 1297, 3152, 982, 519, 7222, 1297, 538, 536, 269, 1280, 1383, 267, 1496, 271, 267, 272, 267, 280, 267, 271, 316, 568, 682, 13877, 25140, 3677, 982, 1496, 271, 267, 272, 267, 276, 267, 277, 316, 1317, 519, 1101, 2990, 789, 8428, 568, 693, 519, 3791, 1297, 267, 543, 476, 280, 568, 3152, 982, 476, 276, 780, 8528, 7078, 476, 272, 1384, 19152, 281, 562, 815, 476, 274, 454, 20479, 281, 1496, 274, 267, 272, 267, 273, 267, 274, 267, 273, 2639, 15008, 281, 1496, 273, 267, 274, 267, 273, 267, 272, 267, 274, 316, 568, 849, 513, 4570, 5311, 267, 855, 1496, 274, 267, 272, 267, 273, 267, 274, 267, 273, 316, 568, 519, 682, 13877, 25140, 4102, 4570, 5311, 563, 7078, 476, 273, 1384, 19152, 281, 562, 815, 476, 276, 454, 20479, 281, 1496, 276, 267, 274, 267, 272, 267, 275, 267, 274, 267, 276, 267, 273, 267, 275, 267, 273, 2639, 8528, 3519, 14259, 6493, 1384, 272, 10922, 562, 10922, 476, 736, 454, 20701, 692, 5228, 17511, 1104, 5903, 454, 5035, 8827, 318, 272, 912, 825, 1219, 4020, 18850, 2331, 306, 3225, 775, 4311, 267, 562, 281, 703, 264, 9847, 5903, 27776, 14158, 1038, 1219, 1394, 10177, 1188, 263, 30915, 2187, 2018, 952, 1582, 269, 637, 568, 711, 7183, 912, 3546, 2132, 454, 2018, 1820, 263, 30915, 267, 694, 336, 994, 2018, 952, 7329, 343, 2652, 3259, 912, 3546, 1582, 269, 637, 815, 694, 336, 11468, 2639, 3546, 2132, 454, 2018, 952, 694, 336, 314, 30915, 316, 11203, 476, 271, 912, 3546, 1394, 10177, 1188, 263, 30915, 1341, 476, 272, 994, 2018, 585, 1775, 538, 2039, 3799, 267, 476, 271, 267, 910, 272, 2187, 3546, 952, 1775, 711, 538, 10272, 912, 7386, 952, 1775, 2652, 476, 272, 610, 630, 30915, 1341, 1775, 2999, 3259, 543, 694, 336, 314, 30915, 1341, 1775, 316, 2652, 476, 271, 2187, 13376, 694, 336, 314, 30915, 316, 815, 1775, 454, 13376, 952, 1775, 11203, 476, 272, 912, 23351, 694, 336, 314, 30915, 1341, 1775, 316, 815, 1775, 454, 13376, 10272, 14491, 9217, 994, 13376, 1394, 10177, 1188, 263, 30915, 1341, 476, 272, 994, 13376, 694, 336, 314, 30915, 316, 815, 476, 271, 454, 13376, 952, 1775, 11203, 476, 272, 912, 23351, 694, 336, 314, 30915, 1341, 1775, 316, 815, 476, 271, 454, 13376, 10272, 31927, 9217, 9239, 1038, 3259, 815, 476, 273, 2608, 562, 910, 476, 272, 454, 1038, 694, 336, 815, 1496, 271, 316, 2608, 3259, 454, 1038, 10272, 815, 1305, 4590, 1038, 1582, 269, 637, 815, 7183, 454, 1038, 1394, 10177, 1188, 263, 271, 994, 1038, 2132, 1582, 269, 637, 692, 258, 476, 30853, 26033, 483, 16088, 7770, 577, 5060, 514, 454, 258, 28859, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 270, 24554, 7308, 268, 2716, 545, 25140, 28376, 268, 20777, 268, 30084, 4882, 1828, 270, 11927, 14870, 514, 3620, 14241, 25252, 8386, 2275, 1156, 577, 5060, 514, 18191, 1097, 276, 13045, 258, 17276, 507, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 258, 29635, 495, 501, 30853, 23521, 481, 25051, 496, 30853, 26033, 483, 19867, 478, 20069, 12486, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 420, 479, 498, 419, 367, 375, 30853, 26033, 483, 420, 492, 371, 23523, 501, 26406, 486, 23521, 481, 8147, 30837, 508, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 21796, 357, 13107, 492, 24731, 14035, 482, 25707, 5035, 8827, 912, 825, 1219, 4020, 18850, 2331, 306, 3225, 775, 4311, 267, 562, 281, 703, 264, 9847, 5903, 27776, 13912, 13872, 1038, 7828, 815, 476, 273, 2608, 562, 910, 476, 272, 454, 1038, 20735, 815, 1496, 271, 316, 2608, 7828, 454, 1038, 10272, 815, 1305, 10797, 1038, 1219, 546, 12028, 263, 11034, 2187, 2018, 952, 7003, 263, 6665, 1243, 264, 2652, 562, 281, 2132, 20735, 454, 2018, 1948, 13127, 377, 497, 31176, 491, 12916, 491, 419, 377, 362, 26266, 366, 14756, 493, 417, 350, 360, 29072, 8147, 421, 480, 352, 16533, 365, 13213, 505, 27310, 31284, 22047, 12571, 356, 454, 2018, 952, 20735, 314, 11034, 316, 3436, 476, 271, 281, 2132, 546, 12028, 263, 11034, 1341, 476, 272, 994, 2018, 1948, 29635, 368, 359, 417, 379, 481, 16088, 12255, 21211, 10524, 492, 27962, 28996, 16533, 493, 417, 350, 360, 454, 2018, 585, 1775, 538, 2039, 3799, 267, 476, 271, 267, 910, 272, 2187, 3546, 952, 1775, 538, 10272, 281, 3136, 454, 3546, 3813, 815, 1376, 1341, 1775, 454, 3546, 952, 1775, 2652, 476, 272, 610, 630, 5913, 2999, 7828, 543, 20735, 314, 5913, 316, 2652, 476, 271, 2187, 7386, 10272, 14491, 9217, 994, 7386, 20735, 314, 11034, 316, 815, 1775, 454, 7386, 952, 1775, 3436, 476, 272, 281, 3097, 13376, 20735, 314, 5913, 316, 815, 1775, 454, 7386, 952, 546, 12028, 263, 11034, 1341, 476, 272, 2567, 3097, 13376, 2132, 20735, 454, 7386, 10272, 31927, 9217, 994, 7386, 20735, 314, 11034, 316, 815, 476, 271, 454, 7386, 952, 1775, 3436, 476, 272, 281, 3097, 13376, 20735, 314, 5913, 316, 815, 476, 271, 454, 2018, 2132, 7183, 454, 1038, 2132, 546, 12028, 263, 271, 9239, 5228, 17511, 1104, 5903, 454, 5035, 8827, 912, 825, 1219, 4020, 18850, 2331, 306, 3225, 775, 4311, 267, 562, 281, 703, 264, 9847, 5903, 27776, 14158, 1038, 1219, 1394, 10177, 1188, 263, 30915, 2187, 2018, 1820, 263, 30915, 267, 694, 336, 994, 2018, 952, 7329, 343, 2652, 3259, 912, 3546, 2132, 694, 336, 454, 2018, 952, 694, 336, 314, 30915, 316, 11203, 476, 271, 912, 3546, 2132, 1394, 10177, 1188, 263, 30915, 1341, 476, 272, 994, 2018, 585, 1775, 538, 2039, 3799, 267, 476, 271, 267, 910, 272, 2187, 3546, 952, 1775, 711, 538, 10272, 912, 7386, 952, 1775, 2652, 476, 272, 610, 630, 30915, 1341, 1775, 2999, 3259, 543, 694, 336, 314, 30915, 1341, 1775, 316, 2652, 476, 271, 2187, 13376, 694, 336, 314, 30915, 316, 815, 1775, 454, 13376, 952, 1775, 3436, 476, 272, 912, 23351, 694, 336, 314, 30915, 1341, 1775, 316, 815, 1775, 454, 13376, 10272, 14491, 9217, 994, 13376, 952, 1394, 10177, 1188, 263, 30915, 1341, 476, 272, 2187, 23351, 2132, 694, 336, 454, 13376, 694, 336, 314, 30915, 316, 815, 476, 271, 454, 13376, 952, 1775, 3436, 476, 272, 912, 23351, 694, 336, 314, 30915, 1341, 1775, 316, 815, 476, 271, 454, 13376, 10272, 31927, 9217, 994, 2018, 2132, 7183, 692, 1038, 3259, 815, 476, 273, 2608, 562, 910, 476, 272, 454, 1038, 694, 336, 815, 1496, 271, 316, 2608, 3259, 454, 1038, 10272, 815, 1305, 4590, 1038, 2132, 1394, 10177, 1188, 263, 271, 2020, 692, 306, 815, 8827, 4590, 2745, 22829, 269, 24554, 18850, 2331, 306, 3225, 775, 263, 274, 4917, 2745, 22829, 269, 24554, 18850, 2331, 306, 3225, 775, 263, 276, 4917, 2745, 22829, 269, 24554, 18850, 2331, 306, 3225, 775, 263, 273, 4297, 0, 12163, 763, 1295, 1790, 6055, 540, 606, 5044, 568, 3160, 547, 519, 5934, 1871, 538, 519, 5044, 16611, 676, 519, 5044, 781, 2040, 780, 2690, 1383, 267, 519, 5044, 1496, 274, 267, 273, 267, 276, 316, 630, 2381, 3065, 1871, 568, 476, 273, 264, 814, 513, 1295, 1790, 6055, 540, 476, 273, 2608, 630, 274, 266, 273, 266, 276, 264, 815, 476, 273, 2608, 476, 1015, 815, 476, 736, 563, 11693, 606, 5044, 540, 9981, 15358, 267, 2132, 519, 5021, 1295, 1790, 6055, 540, 1022, 1875, 268, 24105, 1016, 6783, 540, 15358, 269, 4595, 519, 2626, 949, 581, 1804, 267, 2132, 621, 1110, 25222, 476, 11820, 1341, 476, 278, 780, 9616, 602, 519, 1295, 1790, 6055, 1058, 581, 12366, 1242, 1354, 7900, 519, 1110, 25222, 5106, 269, 4530, 322, 1162, 616, 6383, 971, 602, 519, 5021, 1295, 1790, 6055, 1510, 1110, 25222, 786, 3514, 538, 513, 476, 5038, 19229, 9896, 8870, 780, 288, 1016, 6783, 568, 513, 733, 27631, 851, 540, 606, 5044, 780, 8528, 7078, 476, 272, 1384, 19152, 281, 15358, 815, 1496, 272, 267, 273, 267, 274, 267, 273, 2639, 20479, 281, 476, 1691, 454, 15008, 281, 634, 5021, 1295, 1790, 6055, 568, 6913, 609, 519, 1016, 6783, 1496, 273, 267, 274, 267, 273, 316, 630, 2381, 3065, 1871, 568, 476, 273, 1916, 273, 2608, 630, 273, 266, 274, 266, 273, 264, 815, 476, 273, 2608, 476, 278, 815, 476, 1691, 563, 7078, 476, 273, 1384, 19152, 281, 15358, 815, 1496, 273, 267, 274, 267, 274, 267, 272, 267, 273, 2639, 20479, 281, 476, 1240, 454, 15008, 281, 634, 5021, 1295, 1790, 6055, 568, 6913, 609, 519, 1016, 6783, 1496, 274, 267, 274, 316, 630, 2381, 3065, 1871, 568, 476, 274, 1916, 274, 2608, 630, 274, 266, 274, 264, 815, 476, 274, 2608, 476, 277, 815, 476, 1240, 563, 7078 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4510, 1384, 288, 1957, 7076, 538, 519, 1106, 540, 513, 21571, 540, 8953, 476, 274, 269, 271, 4699, 568, 1031, 547, 3180, 1524, 513, 9102, 2985, 269, 1323, 20626, 5654, 693, 519, 2985, 19794, 998, 519, 1957, 7076, 269, 2311, 1018, 4463, 1657, 519, 2985, 786, 519, 9102, 5022, 2282, 519, 8998, 2408, 547, 519, 20626, 2496, 11693, 912, 20238, 3780, 540, 519, 1957, 7076, 630, 305, 264, 815, 476, 274, 4699, 454, 8269, 847, 633, 4994, 540, 519, 1957, 7076, 630, 19031, 273, 264, 815, 476, 274, 270, 273, 454, 8269, 847, 633, 4994, 540, 519, 2011, 630, 19031, 272, 264, 815, 476, 272, 692, 1103, 519, 1101, 2013, 267, 519, 1201, 3555, 568, 693, 589, 563, 340, 815, 476, 271, 543, 681, 21591, 2171, 917, 1384, 7445, 2765, 346, 3189, 9507, 3189, 14153, 31998, 3709, 273, 12453, 341, 32757, 2765, 346, 3189, 9507, 3189, 14153, 31998, 3709, 272, 12453, 340, 18098, 2765, 346, 3189, 9507, 3189, 14153, 31998, 3709, 273, 18511, 3189, 9507, 3189, 14153, 31998, 3709, 272, 12453, 305, 4153, 28783, 3189, 22364, 346, 271, 1410, 2410, 271, 1410, 3686, 22382, 315, 2765, 346, 274, 2410, 273, 12453, 341, 32757, 2765, 346, 272, 2410, 271, 18098, 2765, 346, 3189, 9507, 3189, 14153, 31998, 3709, 273, 18511, 3189, 9507, 3189, 14153, 31998, 3709, 272, 24828, 13727, 476, 4153, 28783, 3189, 22364, 346, 271, 1410, 2410, 271, 1410, 3686, 22382, 341, 284, 271, 6911, 11997, 267, 519, 3239, 540, 519, 4484, 568, 4646, 693, 519, 1448, 563, 2690, 519, 2034, 2013, 267, 1201, 3555, 568, 693, 1448, 645, 563, 2080, 2676, 30606, 3845, 267, 579, 815, 6567, 274, 4699, 454, 305, 815, 6567, 476, 274, 4699, 454, 19031, 272, 815, 476, 274, 270, 273, 454, 19031, 273, 815, 476, 272, 454, 13295, 267, 649, 723, 1384, 17798, 267, 972, 786, 581, 1100, 6521, 538, 519, 3803, 3239, 780, 2971, 7726, 476, 3393, 1384, 24169, 519, 3105, 1966, 952, 519, 1957, 7076, 568, 30141, 693, 922, 1747, 865, 602, 519, 20085, 2627, 18953, 519, 1957, 780, 11693, 2676, 21982, 519, 8953, 540, 519, 1957, 7076, 607, 922, 11098, 815, 476, 274, 4699, 454, 8269, 847, 633, 4994, 540, 519, 1957, 7076, 630, 19031, 326, 264, 815, 476, 274, 270, 273, 454, 8269, 847, 633, 4994, 540, 519, 2011, 630, 19031, 272, 264, 815, 476, 272, 692, 15862, 6521, 568, 2016, 676, 1384, 763, 5580, 2627, 540, 519, 1957, 7076, 568, 6366, 543, 519, 20085, 20085, 2627, 568, 538, 3346, 609, 519, 9102, 4484, 563, 11997, 267, 649, 786, 1491, 621, 607, 513, 2241, 1201, 3555, 1966, 780, 17798, 267, 519, 3239, 786, 2408, 476, 272, 4699, 1657, 1448, 589, 780, 2971, 7726, 476, 5379, 1384, 288, 8280, 7371, 17202, 6712, 540, 519, 2627, 540, 513, 4396, 4837, 12106, 630, 19031, 815, 476, 272, 269, 276, 264, 540, 8953, 678, 568, 3623, 30099, 547, 1118, 519, 6418, 2427, 10452, 269, 1323, 1843, 568, 5116, 593, 519, 7852, 540, 519, 21571, 693, 513, 3845, 476, 274, 337, 689, 519, 8998, 540, 519, 12106, 269, 634, 1769, 689, 519, 1843, 568, 18195, 539, 693, 519, 5667, 559, 30099, 851, 267, 1287, 10630, 689, 519, 3623, 30099, 851, 543, 1586, 18195, 539, 693, 519, 5667, 559, 30099, 851, 269, 700, 11229, 519, 3803, 3239, 4646, 780, 2026, 3254, 538, 519, 4137, 267, 744, 304, 815, 476, 274, 337, 543, 1109, 8008, 815, 678, 454, 13295, 267, 623, 304, 815, 476, 273, 337, 454, 2690, 1201, 3555, 693, 6673, 289, 2676, 933, 917, 602, 10484, 2690, 519, 8086, 538, 519, 6677, 1511, 11604, 2676, 340, 815, 3980, 508, 454, 13295, 267, 642, 815, 17122, 3259, 540, 11604, 815, 678, 270, 273, 454, 2690, 519, 1201, 3555, 540, 6673, 289, 540, 519, 10630, 3239, 2676, 340, 815, 6567, 274, 337, 270, 273, 692, 2026, 2942, 1129, 6920, 2592, 4646, 3330, 6673, 289, 267, 865, 3239, 1058, 581, 693, 595, 563, 11997, 267, 519, 3803, 3239, 568, 4646, 593, 519, 10452, 2627, 540, 519, 12106, 780, 2971, 7726, 476, 5325, 1384, 763, 23756, 2627, 540, 513, 6094, 6677, 822, 334, 8410, 557, 343, 7828, 540, 4837, 540, 31659, 4994, 476, 272, 269, 276, 814, 513, 8953, 540, 22441, 476, 736, 4699, 269, 634, 6677, 1511, 2627, 814, 513, 8953, 540, 22441, 476, 2568, 4699, 269, 634, 23756, 2427, 568, 3623, 30099, 543, 5116, 593, 513, 8880, 2627, 607, 3254, 538, 4137, 269, 630, 320, 264, 7316, 1058, 513, 8930, 581, 5116, 593, 519, 7852, 865, 602, 922, 3239, 568, 4646, 693, 519, 1482, 1747, 286, 630, 321, 264, 1403, 519, 6677, 1511, 851, 568, 4904, 609, 1216, 630, 19031, 815, 476, 275, 270, 274, 1070, 1265, 519, 3845, 998, 799, 519, 8930, 1058, 581, 6410, 865, 602, 519, 3239, 540, 519, 8930, 1586, 14626, 1938, 609, 519, 8930, 563, 8201, 692, 5416, 264, 2913, 674, 1109, 2041, 519, 519, 17122, 3259, 540, 519, 2016, 6677, 822, 334, 8410, 557, 343, 7828, 269, 3973, 10484, 7445, 2765, 346, 272, 2410, 293, 18098, 2765, 346, 272, 2410, 346, 325, 13925, 272, 3686, 10954, 2765, 346, 272, 2410, 346, 325, 13925, 332, 3686, 10954, 2765, 346, 272, 2410, 346, 325, 13925, 272, 3686, 14204, 259, 7807, 2765, 346, 273, 2410, 346, 325, 13925, 272, 3686, 10954, 2765, 346, 272, 2410, 346, 325, 13925, 332, 22288, 7673, 3396, 1109, 4399, 3847, 24560, 20357, 1422, 2765, 346, 272, 2410, 346, 325, 13925, 332, 3686, 7807, 3847, 7268, 9507, 3189, 14153, 7684, 268, 272, 9368, 9385, 3847, 7268, 2765, 346, 272, 2410, 346, 305, 13925, 272, 3686, 10559, 2765, 346, 272, 2410, 346, 305, 13925, 273, 14990, 2431, 9385, 2431, 316, 6911, 7445, 2765, 346, 272, 2410, 293, 18098, 2765, 346, 273, 2410, 1789, 23180, 2765, 346, 272, 2410, 1428, 18098, 2765, 346, 273, 2410, 1428, 21456, 293, 815, 476, 278, 269, 276, 4699, 692, 17798, 267, 681, 815, 476, 1428, 4699, 692, 11997, 267, 519, 8930, 1058, 581, 5116, 693, 513, 3845, 540, 476, 1428, 4699, 689, 519, 7828, 780, 6357, 264, 1403, 519, 6677, 1511, 851, 568, 4904, 609, 1216, 2676, 2690, 17122, 3259, 674, 7055, 25991, 1109, 1109, 25991, 7445, 2765, 346, 272, 2410, 293, 315, 4118, 527, 3189, 3667, 346, 262, 3686, 18098, 2765, 346, 273, 2410, 346, 325, 13925, 342, 3686, 10954, 2765, 346, 273, 2410, 346, 325, 13925, 272, 3686, 10954, 2765, 346, 272, 2410, 346, 325, 13925, 332, 3686, 14204, 259, 7807, 2765, 346, 273, 2410, 3445, 23180, 2765, 346, 273, 2410, 1789, 23180, 2765, 346, 272, 2410, 1428, 4151, 3396, 1741, 4399, 3847, 24560, 20357, 1422, 2765, 346, 272, 2410, 346, 325, 13925, 342, 3686, 7807, 3847, 7268, 2765, 346, 275, 2410, 274, 18511, 272, 9368, 9385, 3847, 263, 10954, 2765, 346, 272, 2410, 1789, 4153, 2431, 9385, 2431, 316, 6911, 13295, 267, 8930, 1058, 581, 5116, 693, 513, 3845, 540, 1109, 7445, 2765, 346, 3445, 2410, 278, 4151, 4699, 689, 519, 7828, 780, 2971, 7726, 476, 4366, 1384, 288, 5595, 23756, 7828, 814, 17122, 3259, 476, 1839, 4699, 269, 634, 8953, 540, 22441, 540, 835, 540, 519, 7252, 568, 5595, 540, 519, 824, 269, 4855, 519, 2234, 4512, 267, 952, 519, 31659, 4994, 540, 519, 1570, 540, 519, 7828, 568, 476, 272, 269, 276, 780, 11693, 2676, 291, 19302, 23756, 7828, 540, 17122, 3259, 267, 535, 815, 476, 1839, 4699, 454, 8269, 847, 633, 4994, 540, 519, 1570, 267, 13179, 815, 476, 272, 269, 276, 454, 2026, 829, 519, 2243, 267, 519, 8953, 540, 22441, 540, 835, 2627, 568, 7466, 602, 540, 519, 824, 563, 328, 4318, 269, 681, 272, 284, 681, 543, 681, 273, 284, 6567, 273, 305, 454, 263, 3147, 1800, 547, 1129, 14908, 2020, 8794, 519, 7828, 20536, 4542, 4399, 2765, 346, 272, 2410, 325, 18098, 3847, 7268, 9507, 3189, 14153, 7684, 268, 272, 9368, 9385, 3847, 24560, 2765, 3189, 4118, 527, 346, 272, 12453, 3189, 4118, 527, 23334, 3686, 18155, 4118, 527, 346, 272, 3686, 4153, 4118, 527, 24877, 4153, 2765, 3189, 4118, 527, 346, 272, 12453, 3189, 4118, 527, 23334, 3686, 18155, 4118, 527, 346, 273, 3686, 4153, 2431, 316, 8961, 649, 723, 1384, 7445, 2765, 346, 272, 2410, 1839, 18098, 3847, 263, 272, 269, 276, 268, 272, 9368, 9385, 3847, 24560, 2765, 346, 272, 2410, 305, 32757, 3847, 7268, 2765, 346, 272, 2410, 268, 273, 305, 4153, 2431, 9385, 2431, 316, 6911, 305, 272, 815, 476, 1240, 269, 4037, 4699, 543, 681, 273, 815, 476, 4391, 269, 276, 4699, 692, 17798, 267, 519, 2838, 2234, 4512, 540, 519, 5595, 23756, 7828, 616, 476, 1240, 269, 4037, 4699, 543, 476, 4391, 269, 276, 4699, 780, 2971, 7726, 476, 5392, 1384, 763, 2234, 4512, 540, 22441, 540, 513, 7828, 616, 1341, 476, 736, 4699, 543, 1341, 476, 1789, 4699, 269, 634, 1570, 540, 519, 7828, 814, 513, 18195, 532, 4994, 476, 272, 269, 277, 269, 4855, 519, 17122, 3259, 540, 519, 7828, 630, 320, 264, 952, 621, 568, 5116, 538, 2011, 267, 543, 630, 321, 264, 952, 621, 568, 5116, 538, 1216, 630, 19031, 815, 476, 272, 269, 3451, 6393, 11693, 2676, 20238, 4512, 540, 22441, 540, 513, 7828, 267, 630, 305, 272, 264, 815, 1341, 736, 4699, 543, 681, 273, 815, 1341, 1789, 4699, 454, 8269, 847, 633, 4994, 540, 519, 1570, 540, 519, 7828, 267, 630, 19031, 264, 815, 476, 272, 269, 277, 454, 8269, 847, 633, 4994, 540, 1216, 267, 630, 19031, 4248, 264, 815, 476, 272, 269, 3451, 692, 5416, 994, 2691, 519, 7828, 568, 5116, 538, 2011, 2676, 8794, 7828, 20536, 4542, 1384, 7445, 2765, 346, 272, 2410, 325, 18098, 3847, 7268, 9507, 3189, 14153, 7684, 268, 272, 9368, 9385, 3847, 24560, 2765, 3189, 4118, 527, 346, 272, 12453, 3189, 4118, 527, 23334, 3686, 18155, 4118, 527, 346, 272, 3686, 4153, 4118, 527, 24877, 4153, 2765, 3189, 4118, 527, 346, 272, 12453, 3189, 4118, 527, 23334, 3686, 18155, 4118, 527, 346, 273, 3686, 4153, 2431, 316, 14204, 7445, 2765, 346, 272, 2410, 325, 13157, 271, 269, 277, 13375, 24560, 2765, 346, 272, 2410, 736, 32757, 2765, 346, 272, 2410, 1789, 4153, 2431, 316, 315, 28783, 3189, 22364, 346, 271, 1410, 2410, 271, 1410, 3686, 14204, 259, 325, 7807, 2765, 346, 271, 269, 277, 2410, 11793, 271, 9943, 1015, 21456, 325, 815, 476, 1911, 4699, 454, 13295, 267, 519, 17122, 3259, 540, 519, 7828, 568, 476, 1911, 4699, 950, 621, 568, 5116, 538, 2011, 780, 6357, 264, 2691, 519, 7828, 568, 5116, 538, 1216, 692, 7445, 2765, 346, 272, 2410, 325, 18098, 3847, 24560, 2765, 346, 3189, 9507, 3189, 14153, 31998, 18155, 9507, 346, 331, 839, 3686, 2410, 3189, 9507, 3189, 14153, 31998, 18155, 9507, 346, 4248, 3686, 18511, 272, 9368, 316, 315, 3847, 24560, 2765, 3189, 4118, 527, 346, 272, 12453, 346, 305, 348, 18155, 4118, 527, 346, 272, 3686, 4153, 4118, 527, 24877, 4153, 2765, 3189, 4118, 527, 346, 272, 12453, 346, 305, 348, 18155, 4118, 527, 346, 273, 3686, 4153, 2431, 316, 14204, 259, 7807, 3847, 7268, 2765, 346, 272, 269, 2568, 2410, 272, 269, 3451, 18511, 272, 9368, 9385, 3847, 24560, 2765, 346, 272, 2410, 2568, 4153, 2431, 316, 14204, 259, 7807, 2765, 346, 2764, 2410, 15836, 9943, 2568, 4153, 338, 830, 336, 1422, 2765, 346, 272, 2410, 4968, 21456, 259, 22382, 259, 325, 815, 476, 4968, 4699, 563, 13295, 267, 519, 17122, 3259, 540, 519, 7828, 568, 476, 4968, 4699, 950, 621, 568, 5116, 538, 1216, 780, 2971, 7726, 476, 2004, 1384, 299, 5151, 616, 9112, 676, 513, 1570, 540, 31659, 4994, 476, 272, 269, 2004, 269, 634, 9588, 540, 519, 2234, 4512, 540, 22441, 616, 476, 736, 4699, 543, 476, 1789, 4699, 269, 4855, 519, 17122, 13080, 540, 519, 2009, 14485, 609, 519, 1657, 16551, 780, 11693, 2676, 8269, 847, 633, 4994, 540, 519, 1570, 267, 630, 19031, 264, 815, 476, 272, 269, 2004, 454, 300, 1725, 6421, 540, 519, 8953, 540, 22441, 912, 305, 272, 815, 476, 736, 4699, 543, 681, 273, 815, 476, 1789, 4699, 692, 5804, 519, 2016, 1239, 649, 666, 1118, 2185, 2009, 14485, 267, 1210, 519, 7828, 20536, 4542, 780, 7445, 2765, 346, 272, 2410, 325, 18098, 3847, 7268, 9507, 3189, 14153, 7684, 268, 272, 9368, 9385, 3847, 7268, 2765, 346, 272, 2410, 346, 305, 13925, 272, 3686, 10559, 2765, 346, 272, 2410, 346, 305, 13925, 273, 14990, 2431, 22491, 19177, 2009, 14485, 912, 5416, 264, 476, 272, 560, 1109, 331, 839, 568, 5595, 23756, 267, 538, 799, 681, 272, 815, 1341, 736 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2159, 692, 5278, 821, 2953, 803, 952, 594, 6415, 4636, 1384, 288, 1297, 666, 581, 28653, 547, 8167, 676, 14921, 676, 602, 8167, 780, 2690, 1383, 267, 952, 594, 723, 513, 5223, 540, 476, 275, 281, 274, 267, 952, 594, 3442, 476, 25953, 607, 1250, 1101, 1297, 267, 594, 9062, 621, 676, 476, 274, 270, 275, 281, 476, 25953, 630, 274, 270, 275, 264, 815, 476, 21878, 269, 1403, 596, 1616, 547, 979, 689, 476, 21878, 547, 476, 25953, 267, 798, 519, 11201, 281, 476, 21878, 630, 275, 270, 274, 264, 815, 476, 25953, 780, 3086, 1577, 781, 8831, 621, 547, 513, 5223, 609, 476, 274, 2474, 281, 476, 275, 281, 274, 281, 273, 269, 1284, 917, 602, 476, 25953, 281, 21878, 267, 865, 519, 3791, 2165, 568, 1336, 676, 14921, 676, 476, 273, 270, 274, 281, 476, 21878, 630, 273, 270, 274, 264, 815, 476, 17168, 780, 2791, 666, 1265, 1022, 2165, 538, 519, 5223, 1759, 1055, 1022, 2582, 2165, 676, 14921, 676, 519, 2953, 5223, 269, 1924, 267, 547, 1265, 519, 1101, 2165, 689, 519, 3791, 267, 649, 9062, 676, 476, 275, 270, 273, 815, 476, 273, 281, 476, 17168, 630, 273, 264, 815, 476, 25953, 780, 14187, 9939, 780, 14976, 6446, 890, 8615, 2215, 3266, 890, 8615, 13121, 1654, 806, 780, 1012, 1948, 275, 1109, 1220, 276, 268, 6021, 268, 1428, 476, 6734, 281, 5379, 281, 7871, 692, 330, 1803, 330, 520, 7568, 454, 20175, 16588, 692, 19423, 1467, 692, 2162, 1234, 281, 16393, 660, 2142, 5262, 2159, 692, 2971, 554, 9188, 2967, 5206, 1384, 20062, 2969, 4959, 8668, 31170, 30314, 8627, 2439, 22033, 5303, 692, 8310, 12995, 676, 737, 1803, 330, 520, 7568, 630, 1220, 276, 268, 6021, 268, 1428, 476, 6734, 281, 5325, 281, 1724, 2020, 1012, 1948, 276, 1109, 1220, 276, 268, 6021, 268, 1428, 476, 5881, 281, 2412, 281, 7367, 692, 13043, 338, 3674, 29222, 692, 19423, 1467, 692, 2162, 1234, 281, 16393, 660, 2142, 5262, 2159, 692, 263, 3951, 815, 6176, 5303, 3267, 700, 5357, 2020, 2005, 568, 513, 3787, 9490, 780, 2791, 2161, 1109, 476, 274, 281, 273, 269, 1839, 281, 272, 269, 277, 1109, 538, 1776, 1062, 568, 1109, 476, 18597, 281, 28071, 281, 3374, 280, 692, 3719, 713, 568, 15069, 711, 513, 1463, 5223, 267, 585, 1383, 476, 274, 568, 5176, 5595, 476, 272, 269, 277, 267, 855, 972, 568, 1100, 30945, 1063, 476, 18597, 543, 476, 3374, 280, 630, 16838, 1498, 789, 616, 538, 6587, 6753, 2020, 9827, 476, 274, 269, 276, 281, 273, 269, 273, 281, 272, 269, 277, 1109, 538, 1776, 1062, 568, 1109, 476, 26297, 281, 29204, 281, 4097, 279, 692, 4517, 649, 917, 621, 568, 1945, 547, 798, 609, 2681, 267, 799, 568, 1419, 6719, 607, 513, 1614, 8820, 2230, 692, 3383, 267, 596, 1223, 581, 7231, 609, 1114, 2081, 547, 12398, 513, 1448, 538, 476, 274, 291, 2230, 780, 27745, 596, 2285, 721, 930, 811, 9623, 3297, 1142, 1062, 286, 1109, 630, 305, 16412, 267, 670, 826, 13478, 4405, 566, 20324, 2431, 1145, 267, 700, 6058, 766, 21669, 11486, 616, 930, 594, 723, 4862, 540, 2020, 10454, 21575, 1219, 518, 1152, 547, 22697, 267, 543, 519, 22697, 1219, 518, 1152, 547, 2696, 10371, 1701, 1109, 910, 15182, 631, 269, 27439, 9007, 692, 1012, 1948, 277, 1109, 1220, 276, 268, 6021, 268, 1428, 476, 5400, 281, 1556, 281, 5881, 692, 11990, 661, 269, 15284, 454, 30252, 16588, 692, 19423, 1467, 692, 2162, 1234, 281, 16393, 660, 2142, 5262, 2159, 692, 9827, 595, 312, 300, 298, 568, 7261, 534, 267, 14117, 267, 7395, 31980, 267, 543, 4563, 269, 1109, 901, 568, 1031, 950, 11544, 23416, 563, 305, 16412, 568, 1031, 547, 3575, 1769, 267, 607, 538, 513, 2780, 5496, 267, 513, 7641, 594, 1589, 563, 3719, 1018, 568, 4277, 568, 950, 596, 3575, 782, 519, 23416, 1927, 596, 1205, 513, 4158, 2681, 899, 6960, 610, 3109, 563, 3719, 950, 596, 3575, 1769, 1927, 267, 519, 4778, 1205, 17321, 267, 543, 2212, 4724, 3043, 780, 5331, 585, 513, 4090, 602, 1256, 606, 3618, 11988, 949, 4865, 513, 2648, 540, 1582, 543, 513, 2648, 540, 1866, 269, 0, 258, 17438, 2243, 692, 1892, 645, 454, 13312, 2350, 303, 944, 454, 1692, 798, 594, 2769, 519, 1739, 9183, 28879, 2496, 296, 723, 1569, 547, 23711, 3377, 2228, 689, 1079, 1114, 4950, 4609, 267, 1142, 540, 799, 723, 827, 606, 476, 3199, 260, 10727, 540, 2965, 3246, 519, 3049, 950, 594, 2845, 5196, 519, 3135, 269, 1403, 594, 1152, 1185, 1569, 547, 835, 540, 519, 4609, 267, 594, 9364, 917, 602, 594, 1185, 606, 476, 3199, 260, 4960, 602, 594, 9364, 1205, 513, 2661, 3049, 950, 594, 29429, 538, 269, 1215, 1281, 713, 4137, 1689, 950, 594, 723, 1079, 4609, 267, 1312, 609, 602, 476, 3199, 260, 10727, 780, 763, 31112, 568, 547, 9062, 519, 1079, 17831, 1927, 267, 1775, 4318, 1421, 1547, 279, 2608, 1547, 279, 815, 1547, 5038, 1809, 602, 666, 1405, 581, 1318, 1317, 519, 5506, 814, 547, 581, 3152, 982, 1547, 279, 692, 4692, 2576, 1305, 713, 9183, 909, 585, 803, 28879, 2496, 1012, 12226, 543, 1234, 18680, 692, 20112, 16588, 454, 2252, 596, 9062, 873, 267, 596, 2811, 6998, 585, 519, 5506, 540, 3478, 513, 3377, 3049, 689, 835, 3135, 543, 1287, 519, 824, 563, 296, 1589, 594, 6415, 7508, 930, 1469, 267, 1498, 269, 1924, 596, 723, 547, 3442, 513, 3135, 267, 543, 1287, 2845, 538, 286, 2107, 1018, 286, 1684, 1312, 4609, 1402, 909, 950, 596, 2845, 5196, 8726, 596, 2811, 19883, 883, 2496, 20112, 16588, 454, 2252, 602, 781, 519, 2013, 267, 596, 2811, 3168, 585, 519, 5506, 540, 589, 543, 5924, 645, 815, 589, 610, 645, 1341, 589, 543, 645, 269, 2311, 2547, 594, 1131, 1589, 865, 269, 1411, 1152, 1416, 602, 596, 1205, 693, 2547, 835, 267, 855, 621, 781, 849, 513, 7872, 602, 596, 1205, 1079, 267, 865, 596, 991, 519, 5506, 540, 3478, 476, 272, 1341, 519, 5506, 540, 3478, 476, 273, 780, 20112, 16588, 454, 302, 330, 267, 865, 713, 568, 1018, 594, 6415, 3206, 267, 594, 1205, 513, 1871, 540, 476, 9834, 260, 950, 594, 798, 713, 563, 1012, 288, 1012, 568, 3478, 519, 3049, 689, 589, 12361, 288, 262, 1012, 568, 711, 3478, 519, 3049, 689, 589, 780, 1012, 303, 815, 9474, 262, 1341, 589, 262, 289, 1341, 9474, 1012, 692, 1805, 3530, 9622, 7978, 454, 4131, 1269, 288, 259, 581, 519, 6364, 834, 763, 1101, 3135, 1568, 2668, 2913, 1269, 289, 259, 581, 519, 6364, 834, 763, 2034, 3135, 1568, 2668, 3973, 972, 616, 476, 275, 2009, 4745, 4093, 281, 1269, 288, 1422, 342, 8354, 645, 267, 589, 1422, 342, 8354, 1422, 10864, 645, 267, 1422, 10864, 589, 1422, 342, 8354, 645, 267, 1422, 10864, 589, 1422, 342, 8354, 1422, 10864, 645, 259, 630, 3602, 4399, 10864, 259, 1797, 834, 2254, 2580, 543, 4399, 342, 8354, 259, 1797, 834, 663, 20257, 1924, 519, 5506, 602, 693, 2547, 835, 540, 519, 4609, 1568, 568, 1384, 259, 303, 10490, 1422, 557, 324, 645, 264, 815, 623, 10490, 1422, 342, 8354, 645, 264, 1341, 623, 10490, 1422, 342, 8354, 1422, 10864, 645, 264, 1341, 623, 7268, 10864, 589, 1422, 342, 8354, 645, 22491, 3602, 4399, 557, 324, 259, 1797, 834, 528, 6231, 3383, 798, 596, 917, 875, 547, 12337, 1346, 1614, 17831, 593, 519, 1318, 2427, 540, 519, 11224, 2496, 13312, 2350, 303, 944, 454, 3383, 798, 596, 917, 875, 547, 12337, 1346, 1614, 17831, 593, 519, 1318, 2427, 540, 519, 11224, 2496, 5591, 594, 1810, 1405, 269, 1809, 585, 930, 2601, 594, 2219, 16022, 569, 519, 2626, 729, 1018, 8262, 344, 3641, 1002, 7150, 267, 476, 9834, 30515, 302, 330, 267, 865, 713, 568, 1018, 594, 6415, 3206, 267, 594, 1205, 513, 1871, 540, 476, 9834, 260, 950, 594, 798, 713, 780, 296, 1810, 1405, 917, 1141, 594, 3357, 909, 609, 602, 4137, 267, 543, 950, 594, 6836, 547, 1589, 827, 875, 519, 5506, 1131, 581, 6353, 28879, 267, 594, 16668, 513, 10145, 269, 901, 568, 2523, 23892, 2094, 594, 1175, 3576, 519, 24321, 2063, 14400, 543, 1185, 891, 1826, 540, 5506, 2055, 1743, 2683, 883, 1250, 2212, 269, 594, 4312, 2907, 16618, 875, 547, 798, 873, 692, 20112, 16588, 454, 1432, 781, 519, 5506, 540, 589, 855, 711, 645, 2496, 2026, 585, 1141, 594, 3893, 602, 1297, 267, 621, 781, 519, 1482, 607, 1018, 24697, 11023, 787, 331, 568, 3257, 780, 13312, 2350, 303, 944, 454, 1805, 3530, 9622, 7978, 454, 5591, 594, 1810, 1405, 269, 1809, 585, 930, 2601, 594, 2219, 16022, 569, 519, 2626, 729, 1018, 8262, 344, 3641, 1002, 7150, 267, 476, 9834, 30515, 2791, 723, 547, 946, 930, 4031, 540, 5506, 912, 259, 303, 7268, 10864, 2473, 264, 815, 476, 272, 910, 623, 11583, 7751, 454, 259, 303, 11583, 1422, 342, 8354, 962, 264, 815, 623, 11583, 264, 1422, 10383, 623, 263, 312, 7751, 630, 604, 519, 17831, 616, 4830, 2020, 13312, 2350, 303, 944, 454, 13312, 2350, 303, 944, 454, 11754, 873, 909, 547, 1205, 8726, 596, 1205, 780, 6546, 5654, 899, 621, 8591, 909, 547, 1547, 9834, 256, 1403, 972, 781, 835, 3364, 594, 1869, 917, 875, 547, 798, 267, 621, 781, 1039, 17447, 692, 269, 5038, 1341, 1547, 1626, 1341, 1547, 1626, 815, 269, 9834, 2549, 594, 1318, 286, 594, 1589, 519, 17831, 616, 4830, 269, 1403, 596, 723, 10814, 610, 9682, 267, 596, 7168, 1454, 723, 513, 476, 1911, 260, 10727, 602, 596, 786, 1205, 513, 23711, 3049, 269, 1809, 519, 1079, 4609, 594, 1205, 1250, 23711, 3377, 3049, 689, 723, 9247, 606, 476, 3199, 260, 10727, 4830, 540, 835, 1776, 269, 594, 729, 1175, 11842, 875, 1454, 6251, 547, 476, 1911, 260, 1250, 10727, 729, 676, 2348, 519, 1079, 3681, 780, 29094, 4477, 704, 454, 20112, 16588, 454, 4322, 4267, 3100, 10169, 936, 10687, 6088, 269, 32114, 519, 17831, 540, 10691, 3478, 513, 3049, 689, 835, 3135, 616, 10446, 476, 272, 910, 476, 271, 269, 279, 815, 476, 271, 269, 273, 267, 519, 5506, 540, 711, 3478, 513, 3049, 689, 1312, 4609, 568, 476, 271, 269, 273, 1535, 476, 271, 269, 273, 815, 476, 271, 269, 6860, 269, 1924, 519, 5506, 540, 713, 711, 8345, 630, 328, 4318, 269, 3478, 513, 3049, 689, 693, 2547, 835, 3135, 264, 568, 476, 272, 910, 476, 271, 269, 6860, 815, 476, 271, 269, 9834, 780, 314, 539, 527, 910, 3773, 713, 316, 4517, 952, 596, 723, 1614, 4609, 2139, 267, 519, 5506, 540, 711, 3478, 513, 3049, 689, 1022, 568, 476, 272, 910, 476, 271, 269, 2537, 815, 476, 4200, 269, 273, 260, 780, 13312, 2350, 303, 944, 543, 4437, 294, 344, 14976, 299, 334, 2662, 4263, 454, 29094, 4477, 704, 454, 20112, 16588, 454, 1708, 273, 13815, 454, 6546, 5654, 899, 621, 8591, 909, 547, 1547, 9834, 256, 1403, 972, 781, 835, 3364, 594, 1869, 917, 875, 547, 798, 267, 621, 781, 1039, 17447, 692, 269, 5038, 1341, 1547, 1626, 1341, 1547, 1626, 815, 269, 9834, 2549, 594, 1318, 286, 594, 1589, 519, 17831, 616, 4830, 269, 1403, 596, 723, 10814, 610, 9682, 267, 596, 7168, 1454, 723, 513, 476, 1911, 260, 10727, 602, 596, 786, 1205, 513, 23711, 3049, 269, 1809, 519, 1079, 4609, 594, 1205, 1250, 23711, 3377, 3049, 689, 723, 9247, 606, 476, 3199, 260, 10727, 4830, 540, 835, 1776, 269, 594, 729, 1175, 11842, 875, 1454, 6251, 547, 476, 1911, 260, 1250, 10727, 729, 676, 2348, 519, 1079, 3681, 563, 8133, 267, 621, 781, 476, 9834, 260, 952, 519, 1079, 616, 4830, 269, 634, 14724, 9819, 568, 875, 1419, 596, 723, 9444, 269, 2334, 781, 476, 271, 269, 273, 1535, 476, 271, 269, 273, 815, 476, 271, 269, 6860, 780, 271, 269, 279, 1535, 476, 271, 269, 279, 815, 476, 271, 269, 5038, 568, 519, 5506, 596, 723, 1312, 780, 4517, 476, 271, 269, 279, 1535, 476, 271, 269, 273, 815, 476, 271, 269, 1626, 568, 519, 5506, 596, 723, 519, 1101, 855, 711, 519, 2034, 269, 6684, 621, 781, 519, 1482, 5506, 596, 723, 519, 2034, 855, 711, 519, 1101, 269, 9747, 1384, 5038, 260, 1312, 20555, 2139, 454, 3953, 260, 1152, 835, 3049, 2139, 454, 275, 260, 9444, 3049, 2139, 692, 13312, 2350, 303, 944, 454, 20112, 16588, 454, 4322, 4267, 3100, 10169, 936, 10687, 6088, 269, 32114, 519, 17831, 540, 10691, 3478, 513, 3049, 689, 835, 3135, 616, 10446, 476, 272, 910, 476, 271, 269, 279, 815, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 349, 2353, 21797, 630, 573, 267, 1566, 267, 3092, 4700, 538, 519, 3948, 616, 9674, 676, 606, 17062, 454, 1948, 349, 2318, 1297, 540, 5624, 630, 6393, 258, 349, 2871, 5875, 3975, 10148, 912, 258, 349, 476, 272, 10922, 3009, 299, 1149, 32324, 10922, 476, 276, 265, 1015, 317, 275, 2676, 258, 349, 476, 280, 10922, 3009, 299, 1149, 5157, 4940, 26319, 10922, 476, 5197, 780, 258, 349, 1496, 16059, 316, 5569, 692, 258, 349, 17776, 834, 10498, 257, 952, 972, 941, 1100, 17511, 6959, 267, 610, 3116, 2132, 519, 1101, 454, 1948, 349, 1899, 609, 25314, 520, 3481, 2010, 6382, 563, 3097, 3698, 1826, 10267, 9535, 6262, 1712, 299, 1149, 17107, 692 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 556, 692, 5035, 24812, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 3090, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 32188, 815, 3090, 692, 3698, 1711, 318, 16651, 10031, 825, 4806, 815, 556, 2593, 335, 850, 16868, 262, 314, 320, 22271, 288, 19053, 271, 268, 280, 316, 5073, 825, 4806, 318, 32188, 815, 556, 2593, 335, 850, 16868, 262, 343, 347, 334, 17210, 825, 1247, 6936, 912, 1038, 2012, 272, 815, 3403, 3488, 11767, 6345, 835, 2012, 281, 30386, 1038, 4779, 815, 4806, 269, 14142, 28442, 272, 994, 1038, 952, 4779, 2652, 7183, 912, 2018, 1820, 2891, 8923, 4283, 513, 2012, 630, 10401, 5991, 10179, 545, 1152, 1040, 5602, 2018, 3136, 454, 1038, 3116, 912, 2018, 2736, 22562, 825, 1247, 6936, 912, 1038, 3090, 318, 1721, 12173, 272, 815, 3403, 3488, 12663, 596, 1404, 834, 311, 257, 610, 834, 302, 22172, 1412, 1040, 12294, 4590, 1038, 4779, 318, 32188, 815, 4806, 318, 32188, 269, 14142, 263, 32188, 318, 1721, 12173, 272, 994, 1038, 952, 4779, 318, 32188, 2652, 7183, 912, 2018, 1820, 2891, 8923, 2824, 689, 1412, 311, 262, 610, 1412, 302, 262, 1152, 23528, 2018, 3136, 454, 1038, 3116, 912, 2018, 2736, 22562, 825, 1247, 6936, 912, 1038, 2012, 273, 815, 3403, 3488, 11767, 6345, 1079, 2012, 281, 30386, 1038, 4779, 318, 273, 815, 4806, 269, 14142, 28442, 273, 994, 1038, 952, 4779, 318, 273, 2652, 7183, 912, 2018, 1820, 2891, 8923, 4283, 513, 2012, 630, 10401, 5991, 10179, 545, 1152, 1040, 5602, 2018, 3136, 454, 1038, 3116, 912, 2018, 2736, 22562, 825, 3090, 318, 1721, 12173, 273, 815, 1412, 7055, 825, 952, 3090, 318, 1721, 12173, 272, 2652, 834, 334, 13426, 1038, 3090, 318, 1721, 12173, 273, 815, 834, 343, 4840, 825, 8640, 3090, 318, 1721, 12173, 272, 2652, 834, 343, 13426, 1038, 3090, 318, 1721, 12173, 273, 2652, 834, 334, 5016, 825, 6345, 272, 815, 24812, 28442, 272, 267, 3090, 318, 1721, 12173, 272, 994, 825, 6345, 273, 815, 24812, 28442, 273, 267, 3090, 318, 1721, 12173, 273, 2020, 825, 2132, 6345, 272, 267, 6345, 273, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5228, 6449, 325, 1956, 1029, 1104, 27033, 1712, 9078, 3438, 1023, 692, 5814, 556, 692, 5228, 533, 2988, 4176, 514, 269, 4186, 1026, 6745, 821, 318, 935, 3200, 1104, 3159, 15461, 4671, 821, 273, 267, 3159, 273, 15461, 4671, 821, 692, 23631, 19571, 815, 556, 2593, 335, 850, 16868, 262, 315, 323, 262, 9239, 5035, 570, 821, 306, 16905, 300, 1460, 514, 24998, 2187, 825, 29185, 825, 17276, 490, 487, 418, 503, 362, 20881, 504, 13644, 507, 9463, 502, 420, 364, 481, 25335, 482, 10254, 503, 14035, 482, 419, 494, 484, 418, 489, 376, 421, 509, 367, 16088, 692, 825, 2608, 4179, 2517, 523, 25769, 3820, 28293, 270, 24092, 318, 24336, 318, 874, 517, 1108, 258, 307, 821, 5334, 16905, 454, 825, 2608, 4179, 2517, 13231, 5670, 328, 3820, 270, 30795, 4211, 301, 270, 16753, 7302, 4042, 14121, 821, 7302, 5190, 2987, 2173, 663, 18288, 270, 692, 825, 5727, 476, 1948, 1100, 32142, 692, 825, 1219, 2022, 7272, 4176, 514, 4311, 267, 554, 534, 267, 10636, 7716, 267, 533, 4176, 514, 8217, 267, 2878, 29220, 16911, 2187, 1038, 1427, 815, 2706, 24867, 821, 306, 16905, 300, 1460, 514, 267, 1582, 1040, 14006, 7272, 4176, 514, 18692, 2018, 554, 534, 267, 10636, 7716, 267, 533, 4176, 514, 8217, 267, 2878, 29220, 16911, 994, 1038, 952, 1427, 568, 711, 7183, 912, 2018, 533, 4176, 514, 8217, 815, 1427, 692, 1038, 533, 4176, 514, 8217, 815, 1582, 11519, 628, 2273, 4671, 821, 263, 7315, 267, 533, 4176, 514, 8217, 994, 1038, 533, 4176, 514, 8217, 815, 1582, 11519, 25975, 263, 7315, 267, 533, 4176, 514, 8217, 994, 1038, 533, 4176, 514, 8217, 815, 1582, 11519, 344, 328, 263, 7315, 267, 533, 4176, 514, 8217, 2020, 1038, 2132, 533, 4176, 514, 8217, 692, 825, 1219, 9041, 628, 2273, 4671, 821, 4311, 267, 554, 534, 267, 533, 4176, 514, 8217, 2187, 1038, 29185, 1038, 12059, 3159, 5070, 6062, 1384, 1038, 634, 9030, 4341, 540, 3791, 3159, 5070, 6062, 568, 1384, 2018, 1879, 972, 616, 1079, 15654, 3791, 2389, 821, 24424, 267, 519, 1101, 540, 873, 568, 14733, 609, 2034, 3159, 780, 1038, 1280, 1383, 267, 561, 387, 492, 9655, 387, 498, 476, 26033, 479, 421, 376, 510, 9497, 332, 1787, 8442, 2501, 547, 581, 14733, 561, 5451, 9655, 387, 498, 1496, 331, 879, 392, 363, 391, 356, 391, 354, 390, 480, 340, 391, 357, 391, 358, 4940, 898, 814, 1044, 11567, 2436, 519, 8375, 26048, 630, 391, 356, 391, 354, 264, 593, 519, 1991, 27612, 568, 538, 1249, 9838, 547, 513, 3339, 2034, 3159, 282, 621, 814, 1044, 11943, 602, 621, 568, 267, 693, 2547, 538, 2474, 540, 17391, 8226, 16804, 272, 13912, 587, 488, 26801, 587, 488, 692, 1038, 1879, 972, 616, 1614, 610, 811, 3791, 18565, 538, 513, 4737, 267, 519, 3510, 3587, 811, 7294, 267, 2094, 513, 3791, 3159, 602, 9551, 525, 513, 2034, 3159, 4611, 689, 3791, 3159, 5070, 6062, 949, 610, 949, 711, 581, 1641, 547, 5070, 6062, 3294, 269, 634, 2164, 949, 4096, 593, 2262, 6302, 267, 2566, 267, 543, 13172, 531, 7648, 269, 4937, 3652, 585, 1614, 1606, 22690, 762, 3791, 2389, 821, 10659, 666, 581, 19775, 607, 5205, 1384, 2018, 1403, 519, 1101, 2262, 568, 1079, 24424, 543, 519, 2034, 2262, 568, 835, 27612, 267, 1287, 519, 1101, 1079, 24424, 1831, 2034, 18565, 269, 1280, 1383, 267, 536, 387, 492, 690, 340, 387, 492, 333, 554, 387, 492, 334, 476, 32517, 507, 28997, 350, 417, 354, 377, 9497, 1729, 1491, 1434, 1416, 540, 8442, 3217, 519, 12332, 536, 5451, 690, 340, 17505, 554, 387, 492, 334, 1496, 335, 879, 392, 363, 391, 356, 391, 354, 330, 9774, 391, 356, 391, 354, 343, 879, 392, 363, 391, 357, 391, 358, 391, 355, 14073, 2018, 1403, 519, 1101, 2262, 568, 835, 27612, 267, 543, 519, 2034, 2262, 568, 1079, 24424, 267, 519, 2034, 27612, 3587, 2034, 3159, 267, 855, 519, 1101, 27612, 3788, 3791, 3159, 269, 1280, 1383, 281, 561, 387, 492, 334, 536, 387, 492, 690, 340, 387, 492, 333, 476, 26033, 479, 32517, 507, 28997, 350, 9497, 1729, 1491, 1416, 540, 782, 519, 942, 8442, 3217, 519, 12332, 561, 387, 492, 334, 536, 5451, 690, 340, 387, 492, 333, 1496, 331, 879, 392, 363, 391, 357, 391, 358, 335, 879, 392, 363, 391, 356, 391, 354, 330, 9774, 391, 357, 391, 358, 391, 355, 316, 780, 1038, 2368, 8059, 1235, 723, 2322, 4464, 811, 3102, 1949, 540, 5070, 6062, 3652, 585, 2789, 3791, 3159, 9696, 269, 1280, 1383, 267, 621, 568, 6069, 314, 272, 13912, 587, 488, 27886, 587, 488, 602, 12381, 616, 4294, 7814, 1227, 267, 7620, 1369, 24754, 3952, 630, 339, 549, 3832, 525, 282, 1294, 2630, 1070, 543, 602, 5070, 6062, 834, 928, 539, 711, 4019, 1063, 1079, 28023, 8371, 6231, 1038, 5727, 476, 1948, 1100, 32142, 454, 1038, 3159, 273, 7272, 4176, 514, 8217, 815, 1496, 339, 821, 15461, 4671, 821, 273, 3287, 314, 271, 8079, 585, 1535, 538, 533, 4176, 514, 8217, 2639, 1038, 952, 1412, 274, 262, 711, 538, 1412, 8339, 21860, 6025, 821, 273, 7272, 4176, 514, 8217, 2187, 2018, 2132, 533, 4176, 514, 8217, 692, 1038, 4957, 815, 8771, 454, 1038, 3791, 19571, 815, 476, 271, 454, 1038, 585, 533, 4176, 514, 538, 3159, 273, 7272, 4176, 514, 8217, 912, 2018, 952, 1412, 274, 262, 538, 533, 4176, 514, 912, 3546, 3791, 19571, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 3791, 19571, 815, 476, 271, 692, 1038, 952, 3791, 19571, 2652, 476, 273, 912, 2018, 585, 1775, 267, 642, 538, 26246, 6025, 821, 273, 7272, 4176, 514, 8217, 2187, 3546, 952, 1412, 274, 262, 538, 642, 912, 7386, 3159, 273, 7272, 4176, 514, 8217, 5157, 316, 815, 642, 18622, 2897, 3488, 274, 3299, 1412, 273, 5073, 7386, 4957, 815, 6936, 454, 7386, 2736, 692, 1038, 8640, 3791, 19571, 3436, 476, 273, 912, 2018, 562, 815, 476, 272, 454, 2018, 585, 1775, 267, 642, 538, 26246, 6025, 821, 273, 7272, 4176, 514, 8217, 2187, 3546, 952, 1412, 274, 262, 538, 642, 912, 7386, 952, 562, 2652, 3791, 19571, 912, 13376, 2736, 454, 7386, 3159, 273, 7272, 4176, 514, 8217, 5157, 316, 815, 642, 18622, 2897, 3488, 274, 3299, 1412, 273, 5073, 7386, 4957, 815, 6936, 454, 7386, 562, 6834, 476, 272, 692, 1038, 952, 4957, 912, 2018, 2132, 20886, 339, 821, 273, 15461, 4671, 821, 3287, 13580, 585, 1535, 538, 3159, 273, 7272, 4176, 514, 8217, 6540, 1038, 2132, 533, 4176, 514, 8217, 692, 825, 1219, 9041, 25975, 4311, 267, 554, 534, 267, 533, 4176, 514, 8217, 2187, 1038, 29185, 1038, 1280, 476, 21251, 536, 383, 373, 1384, 2018, 476, 21251, 568, 14733, 609, 2034, 3159, 950, 4553, 676, 513, 8772, 3159, 27612, 780, 3546, 7151, 281, 476, 21251, 15159, 630, 321, 383, 373, 266, 3333, 383, 361, 267, 834, 1729, 711, 581, 8442, 3587, 536, 14243, 3333, 383, 361, 1496, 30298, 391, 356, 391, 354, 390, 480, 389, 375, 392, 358, 391, 354, 391, 358, 6540, 2018, 769, 824, 2665, 267, 476, 21251, 568, 14733, 609, 8772, 3159, 269, 1717, 267, 950, 1031, 1063, 1913, 538, 606, 589, 27677, 5025, 2243, 267, 621, 949, 1831, 9243, 538, 3159, 630, 324, 3052, 1421, 476, 15159, 21251, 15159, 695, 383, 361, 321, 2313, 383, 361, 6393, 1038, 5727, 476, 1948, 1100, 32142, 454, 1038, 952, 1412, 21251, 262, 711, 538, 554, 534, 912, 2018, 2132, 533, 4176, 514, 8217, 692, 1038, 3159, 273, 7272, 4176, 514, 8217, 815, 1496, 339, 821, 15461, 4671, 821, 273, 3287, 314, 271, 8079, 585, 1535, 538, 533, 4176, 514, 8217, 2639, 1038, 4957, 815, 8771, 692, 1038, 585, 1775, 267, 554, 538, 26246, 263, 7315, 2187, 2018, 1699, 7272, 4176, 514, 815, 3159, 273, 7272, 4176, 514, 8217, 5157, 2639, 2018, 952, 554, 2652, 1412, 21251, 262, 543, 1775, 2999, 7003, 263, 7315, 264, 910, 476, 272, 912, 3546, 1985, 7272, 4176, 514, 815, 3159, 273, 7272, 4176, 514, 8217, 5157, 266, 272, 2639, 3546, 952, 1412, 275, 262, 538, 1985, 7272, 4176, 514, 912, 7386, 3159, 273, 7272, 4176, 514, 8217, 5157, 316, 815, 1699, 7272, 4176, 514, 18622, 2897, 3488, 275, 3299, 1412, 273, 5073, 7386, 4957, 815, 6936, 454, 3546, 3116, 912, 7386, 3159, 273, 7272, 4176, 514, 8217, 5157, 316, 815, 9041, 516, 19571, 16553, 3488, 275, 3299, 1699, 7272, 4176, 514, 994, 7386, 4957, 815, 6936, 454, 2018, 8640, 554, 2652, 1412, 21251, 12466, 3546, 3159, 273, 7272, 4176, 514, 8217, 5157, 316, 815, 9041, 516, 19571, 16553, 3488, 275, 3299, 1699, 7272, 4176, 514, 994, 3546, 4957, 815, 6936, 692, 1038, 952, 4957, 912, 2018, 2132, 20886, 339, 821, 273, 15461, 4671, 821, 3287, 13580, 585, 1535, 538, 3159, 273, 7272, 4176, 514, 8217, 6540, 1038, 2132, 533, 4176, 514, 8217, 692, 825, 1219, 9041, 344, 328, 4311, 267, 554, 534, 267, 533, 4176, 514, 8217, 2187, 1038, 29185, 1038, 1280, 476, 13601, 586, 13682, 1384, 2018, 476, 13601, 568, 14733, 609, 2034, 3159, 950, 4553, 676, 513, 8772, 3159, 27612, 780, 3546, 7151, 281, 476, 13601, 27936, 630, 344, 13682, 266, 323, 383, 361, 978, 267, 834, 332, 755, 8442, 3587, 586, 6403, 323, 383, 361, 978, 1496, 328, 391, 356, 391, 354, 16210, 385, 489, 391, 354, 391, 358, 6540, 2018, 6969, 513, 1101, 267, 2034, 610, 3791, 3159, 27612, 267, 476, 13601, 568, 14733, 609, 8772, 3159, 780, 3546, 6201, 16088, 13601, 14035, 358, 630, 344, 13682, 266, 16210, 31488, 267, 834, 821, 1554, 8442, 3587, 586, 383, 361, 16210, 31488, 1496, 328, 391, 354, 391, 358, 339, 390, 364, 329, 389, 505, 333, 391, 354, 3910, 476, 13601, 23946, 368, 630, 344, 13682, 266, 14269, 17505, 267, 834, 821, 1032, 8442, 3587, 586, 383, 361, 14269, 17505, 1496, 328, 391, 354, 391, 358, 333, 329, 389, 505, 333, 391, 356, 391, 354, 3910, 476, 13601, 420, 369, 371, 630, 344, 13682, 266, 336, 387, 494, 267, 834, 339, 6320, 8442, 3587, 586, 383, 361, 336, 387, 494, 1496, 328, 391, 354, 391, 358, 339, 393, 350, 389, 499, 390, 364, 328, 391, 357, 391, 358, 391, 355, 316, 780, 2018, 1879, 3803, 267, 610, 950, 621, 2501, 693, 519, 1439, 540, 513, 3818, 1606, 22690, 762, 2262, 630, 2958, 14177, 540, 519, 1101, 3159, 540, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 22374, 645, 269, 18722, 454, 3725, 3161, 11261, 281, 476, 1220, 275, 268, 4905, 268, 2641, 454, 1607, 15610, 729, 2966, 609, 519, 936, 31186, 3804, 547, 2445, 1927, 538, 513, 2582, 4199, 519, 1702, 6383, 676, 713, 15834, 2361, 267, 10223, 519, 6402, 1063, 2257, 543, 2259, 269, 769, 621, 267, 5640, 267, 1072, 1416, 9439, 543, 519, 2489, 1857, 786, 1265, 513, 5763, 540, 1344, 593, 3584, 971, 607, 2168, 2534, 267, 2566, 543, 1072, 267, 7296, 267, 1928, 2359, 267, 1514, 1489, 543, 1072, 267, 9025, 1072, 267, 1072, 13319, 267, 543, 7486, 25266, 269, 901, 1079, 31891, 1305, 2882, 811, 982, 476, 1220, 13366, 593, 3584, 8720, 782, 3344, 540, 1072, 543, 2623, 269, 769, 1840, 267, 519, 15610, 540, 2657, 543, 10263, 2882, 513, 3102, 1305, 540, 3606, 2200, 609, 13366, 593, 5697, 3906, 543, 606, 30569, 609, 513, 2143, 23064, 17609, 540, 971, 3906, 607, 1134, 607, 5680, 4609, 540, 1719, 563, 12041, 281, 20900, 808, 269, 4354, 26385, 454, 21812, 281, 10017, 4964, 454, 3725, 3161, 11261, 281, 476, 1220, 271, 454, 257, 10890, 10017, 568, 20688, 13402, 585, 519, 2875, 1007, 547, 2362, 7400, 1353, 269, 2060, 922, 5363, 1837, 2934, 3177, 547, 4217, 538, 6514, 543, 1565, 2553, 267, 621, 1058, 1719, 782, 2606, 6530, 1053, 267, 607, 1134, 607, 1346, 2866, 585, 519, 12391, 2533, 267, 2436, 11923, 267, 1612, 3139, 923, 610, 1514, 4600, 1701, 734, 19447, 10498, 808, 19272, 4953, 563, 12041, 281, 4793, 878, 807, 31661, 3118, 454, 21812, 281, 29021, 2657, 7070, 454, 3725, 3161, 11261, 281, 476, 1001, 274, 268, 6187, 268, 1240, 454, 1607, 4628, 8242, 2034, 7160, 568, 2854, 4481, 585, 1072, 2257, 543, 8808, 1053, 538, 5245, 543, 1715, 10215, 269, 589, 3578, 1819, 676, 519, 3810, 9833, 4793, 878, 807, 31661, 3118, 267, 609, 513, 3309, 2039, 540, 4274, 20334, 267, 713, 29021, 552, 26247, 3705, 1206, 6530, 585, 11923, 267, 607, 1134, 607, 585, 1053, 540, 1612, 3139, 21778, 267, 17163, 3797, 267, 1610, 23956, 267, 1857, 1072, 267, 26849, 267, 6530, 267, 1514, 960, 543, 4571, 342, 604, 2044, 269, 10017, 585, 2657, 28968, 476, 273, 324, 552, 26247, 12116, 1898, 5626, 6436, 267, 11093, 873, 1369, 513, 1514, 2796, 269, 31158, 1194, 3101, 2810, 4656, 602, 7180, 568, 6766, 607, 1454, 676, 5007, 2188, 607, 6211, 543, 5626, 3283, 267, 519, 1433, 779, 1101, 3368, 14592, 5626, 267, 14438, 543, 1514, 6436, 267, 1287, 10039, 873, 547, 4207, 1072, 2152, 538, 2663, 11271, 269, 589, 1883, 1445, 540, 713, 3056, 6530, 552, 26247, 568, 6313, 1367, 7209, 543, 5626, 3069, 1369, 519, 1514, 2796, 540, 1004, 779, 2729, 269, 1715, 1543, 2882, 1699, 267, 2963, 2861, 1382, 267, 8100, 543, 4791, 1806, 4143, 547, 15834, 267, 4207, 3782, 2259, 269, 12983, 540, 2686, 3106, 543, 4656, 723, 1044, 22541, 2429, 282, 972, 568, 513, 1007, 3296, 593, 5312, 4576, 543, 513, 1445, 593, 6051, 269, 901, 2606, 6530, 552, 26247, 1281, 711, 8263, 922, 3988, 786, 723, 1991, 2048, 17595, 1108, 685, 1702, 267, 2943, 621, 666, 3362, 581, 1031, 1134, 3564, 1101, 4458, 6280, 269, 11879, 3206, 2055, 15858, 2238, 3194, 1445, 10833, 3246, 1806, 540, 1699, 1382, 543, 2963, 2861, 2259, 3955, 13694, 2013, 2090, 2429, 4329, 2200, 543, 1357, 6402, 547, 1683, 2417, 2542, 543, 1382, 543, 909, 3562, 15082, 1344, 267, 1239, 543, 7194, 454, 4504, 3726, 643, 11634, 331, 1678, 3768, 11634, 7238, 333, 256, 5576, 331, 1380, 5378, 1629, 4144, 7564, 13512, 23167, 3768, 1990, 584, 6686, 1188, 1990, 340, 32489, 655, 28571, 14660, 997, 1156, 918, 23152, 704, 613, 325, 6686, 25632, 3768, 3647, 2102, 1380, 19315, 928, 11634, 548, 577, 5052, 717, 1168, 1170, 523, 1107, 10523, 324, 645, 1824, 577, 10762, 2357, 18283, 601, 333, 5884, 581, 16582, 4201, 528, 4883, 523, 538, 1775, 327, 8145, 29246, 29770, 4504, 3726, 643, 2806, 928, 327, 5443, 2108, 269, 667, 3317, 530, 518, 581, 342, 639, 560, 3768, 19315, 928, 5576, 592, 323, 613, 325, 6686, 327, 548, 568, 560, 3768, 14193, 325, 694, 514, 523, 918, 23152, 704, 554, 7238, 4135, 267, 3541, 530, 2273, 561, 1716, 523, 694, 514, 523, 918, 23152, 704, 1990, 340, 513, 330, 2763, 696, 328, 7967, 269, 1924, 535, 7564, 961, 339, 1965, 575, 11961, 682, 32218, 267, 2566, 325, 516, 328, 3768, 14193, 325, 28571, 14660, 997, 515, 1284, 1047, 705, 345, 2317, 327, 5443, 563, 12041, 281, 20574, 654, 753, 1074, 454, 21812, 281, 28941, 7638, 25419, 454, 3725, 3161, 11261, 281, 476, 1220, 279, 268, 6349, 268, 1321, 454, 7049, 516, 281, 4317, 3163, 454, 19324, 530, 2273, 575, 1122, 612, 523, 267, 729, 14193, 325, 3954, 570, 27688, 737, 2174, 339, 267, 3768, 1965, 530, 2273, 513, 1276, 14193, 325, 613, 326, 612, 523, 1107, 20312, 1990, 636, 3787, 339, 7967, 7736, 324, 269, 12603, 6182, 6686, 526, 324, 267, 2112, 636, 267, 729, 3768, 530, 773, 642, 1408, 530, 597, 1089, 523, 267, 521, 785, 642, 1408, 325, 7564, 2741, 580, 269, 715, 584, 530, 3317, 530, 597, 20146, 737, 3317, 523, 267, 3110, 523, 530, 597, 552, 710, 26554, 267, 796, 572, 516, 717, 1168, 7897, 15241, 523, 1990, 340, 3331, 353, 837, 333, 563, 12041, 281, 22189, 23846, 454, 21812, 281, 10017, 4964, 454, 3725, 3161, 11261, 281, 476, 1220, 271, 454, 7049, 516, 281, 2657, 1299, 24524, 454, 2304, 2254, 566, 21278, 513, 2565, 2689, 540, 519, 1699, 1533, 540, 1072, 13319, 1382, 269, 901, 1433, 556, 8410, 24632, 2478, 519, 2361, 540, 1072, 13319, 607, 10319, 543, 10128, 13055, 267, 2864, 982, 607, 513, 25071, 585, 30095, 543, 7214, 804, 10449, 269, 898, 2306, 513, 1713, 9295, 547, 5571, 26381, 1670, 267, 7811, 543, 27696, 9840, 538, 1072, 13319, 1382, 269, 2060, 20334, 689, 13785, 267, 16848, 267, 16862, 267, 8581, 267, 519, 5177, 543, 519, 2475, 267, 3194, 532, 2657, 8871, 10056, 786, 581, 540, 1719, 547, 1053, 543, 4648, 2324, 538, 1072, 13319, 267, 1857, 1072, 267, 4915, 543, 1072, 3609, 563, 12041, 281, 8176, 667, 7795, 24513, 454, 21812, 281, 19545, 12670, 7638, 25419, 454, 3725, 3161, 11261, 281, 476, 1001, 273, 268, 6021, 268, 1015, 454, 5353, 527, 737, 584, 345, 655, 2613, 1075, 1156, 670, 597, 333, 325, 832, 7815, 267, 7638, 327, 5306, 839, 17595, 860, 523, 3768, 1924, 17844, 860, 523, 17576, 324, 1231, 600, 683, 826, 4165, 342, 677, 523, 14193, 325, 552, 710, 579, 1537, 974, 674, 14141, 1990, 340, 1265, 523, 281, 2782, 636, 7113, 530, 597, 552, 580, 550, 28727, 267, 729, 530, 597, 7113, 286, 12984, 1024, 879, 929, 7564, 25885, 796, 572, 516, 717, 1168, 7897, 15241, 523, 286, 1323, 8518, 1990, 22844, 516, 545, 615, 2142, 7371, 773, 548, 513, 639, 3541, 674, 832, 577, 2426, 530, 773, 1629, 2353, 32002, 2144, 345, 7564, 327, 2741, 8176, 667, 7795, 24513, 13153, 3541, 7557, 339, 3541, 13705, 710, 3768, 737, 2174, 339, 1629, 11115, 1143, 639, 267, 32623, 513, 1276, 3954, 546, 6064, 6352, 1530, 527, 523, 3541, 717, 1168, 7897, 15241, 14193, 325, 5884, 1975, 584, 269, 8210, 2144, 9383, 7564, 4135, 267, 2112, 636, 32489, 15607, 631, 839, 7770, 1965, 11634, 3530, 523, 267, 3331, 376, 828, 715, 25638, 5378, 1629, 681, 879, 7770, 14193, 325, 345, 7795, 7238, 1066, 630, 1495, 543, 699, 562, 32218, 1070, 530, 525, 15595, 321, 546, 553, 2983, 8583, 23036, 7328, 997, 615, 670, 7238, 577, 560, 548, 626, 2426, 538, 1884, 1778, 328, 1068, 523, 14825, 32236, 523, 9114, 25885, 3768, 530, 773, 521, 747, 5884, 1323, 7716, 523, 1325, 330, 2129, 565, 32304, 5884, 7557, 339, 3541, 717, 1168, 7897, 15241, 1990, 684, 583, 2763, 5672, 1156, 269, 17880, 339, 1990, 340, 2280, 345, 339, 11634, 843, 1068, 2144, 267, 530, 773, 23951, 10045, 928, 28985, 523, 513, 639, 613, 17754, 267, 19804, 796, 572, 516, 1323, 613, 342, 7897, 15241, 523, 24166, 1775, 327, 516, 2098, 933, 322, 651, 1990, 340, 6354, 25625, 7967, 269, 2549, 7736, 324, 530, 2273, 552, 1149, 737, 24882, 281, 12603, 7557, 339, 13153, 717, 1168, 7897, 15241, 523, 929, 7564, 25885, 5667, 518, 2274, 17754, 649, 527, 803, 15590, 267, 620, 338, 530, 597, 1965, 513, 18255, 523, 563, 12041, 281, 27813, 21651, 454, 21812, 281, 20307, 774, 1941, 525, 454, 3725, 3161, 11261, 281, 476, 1220, 276, 454, 1607, 1433, 2488, 606, 3015, 4367, 547, 5626, 1382, 543, 3069, 267, 11341, 891, 547, 3782, 2833, 543, 2259, 269, 898, 6941, 875, 5626, 6436, 666, 581, 1031, 547, 4612, 267, 2491, 543, 8362, 3310, 513, 2875, 779, 1378, 1995, 540, 267, 543, 2259, 538, 267, 4948, 8658, 269, 634, 1433, 2882, 2875, 11042, 547, 3986, 31675, 540, 1806, 6035, 269, 0, 17780, 593, 513, 30453, 689, 11427, 13690, 781, 1362, 454, 303, 1886, 698, 7701, 8992, 513, 1587, 267, 1268, 610, 2856, 676, 13267, 547, 7553, 267, 711, 2601, 269, 11879, 6800, 786, 3343, 2963, 267, 6169, 267, 7954, 563, 272, 269, 8745, 10912, 1862, 6402, 1587, 547, 513, 2942, 2262, 269, 1530, 4060, 547, 25339, 4616, 540, 1945, 676, 2679, 16663, 1472, 621, 563, 268, 7151, 281, 3911, 11481, 267, 3170, 267, 4617, 267, 4057, 267, 2352, 282, 10240, 9917, 17771, 267, 21340, 267, 796, 6312, 686, 5328, 563, 268, 5999, 547, 2307, 281, 1548, 1281, 519, 2262, 1611, 286, 6496, 519, 1587, 2731, 723, 513, 4276, 547, 519, 2262, 286, 2549, 594, 15603, 979, 540, 1945, 594, 899, 1317, 540, 513, 3983, 2012, 286, 9453, 519, 2012, 10912, 267, 568, 519, 1448, 1869, 4570, 888, 273, 269, 3794, 7867, 532, 2489, 885, 1862, 568, 2012, 10912, 538, 9258, 267, 16046, 513, 1587, 547, 513, 4075, 6681, 2262, 269, 1530, 4060, 547, 5000, 4616, 676, 13267, 547, 2318, 7553, 563, 268, 7151, 281, 22640, 267, 32742, 267, 1072, 267, 2648, 267, 10340, 333, 267, 1434, 267, 1318, 267, 1920, 563, 268, 5999, 547, 2307, 281, 1548, 1281, 519, 2262, 2731, 1611, 267, 543, 1281, 519, 1587, 2731, 1921, 547, 621, 286, 1772, 513, 1587, 596, 1810, 1405, 899, 1373, 4421, 676, 4758, 621, 513, 2012, 270, 638, 1275, 596, 798, 899, 286, 9453, 519, 1350, 7867, 532, 1252, 1275, 267, 568, 519, 1448, 1869, 4570, 888, 274, 269, 18734, 1862, 13976, 2318, 598, 31037, 527, 976, 1063, 2472, 543, 2592, 602, 616, 711, 25401, 4448, 269, 1530, 4060, 547, 3895, 1587, 676, 1210, 519, 1379, 540, 1945, 6068, 610, 15197, 269, 630, 9616, 281, 18734, 9388, 609, 2592, 267, 711, 1913, 8094, 268, 7151, 281, 5783, 11305, 1484, 267, 4182, 270, 4148, 698, 267, 2257, 610, 4915, 267, 28245, 267, 1453, 269, 630, 7343, 548, 2780, 5859, 8094, 268, 5999, 547, 2307, 281, 1548, 1281, 519, 740, 1616, 721, 547, 798, 286, 1772, 972, 513, 3020, 4276, 1063, 519, 1587, 543, 519, 3090, 286, 2274, 3058, 856, 519, 3308, 3239, 267, 1018, 616, 519, 1434, 2798, 827, 519, 1587, 3294, 888, 275, 269, 4530, 574, 11102, 1862, 3096, 28910, 547, 23596, 1587, 269, 901, 20964, 1587, 781, 9029, 543, 17258, 910, 4352, 2356, 267, 519, 1268, 568, 711, 11727, 547, 1118, 9794, 906, 269, 630, 9616, 281, 16499, 517, 10118, 666, 581, 1500, 676, 1268, 267, 3919, 610, 8313, 8094, 268, 7151, 281, 7812, 16888, 593, 670, 6951, 267, 6723, 5983, 2006, 1989, 1571, 267, 30486, 928, 18703, 9513, 4552, 20004, 267, 2797, 23596, 906, 563, 268, 5999, 547, 2307, 281, 5808, 610, 1018, 568, 20926, 538, 519, 16499, 11102, 286, 4208, 568, 713, 1268, 513, 22973, 267, 917, 1194, 326, 762, 4274, 286, 9453, 519, 16499, 11102, 267, 1018, 1281, 519, 1587, 2179, 547, 593, 922, 1378, 26350, 888, 276, 269, 30577, 11570, 1862, 616, 1175, 899, 596, 256, 4325, 5474, 18609, 5304, 602, 789, 267, 543, 741, 2093, 267, 616, 585, 519, 1455, 1268, 563, 268, 7151, 281, 4107, 2487, 27504, 723, 1044, 2929, 320, 2231, 267, 855, 957, 899, 8723, 4961, 269, 22735, 17696, 693, 31780, 781, 267, 17312, 29447, 269, 554, 730, 22282, 267, 31144, 2759, 3574, 269, 22735, 20324, 2313, 1412, 10844, 12286, 834, 26165, 10689, 257, 11401, 267, 27646, 3613, 641, 19150, 267, 30191, 834, 10585, 18560, 257, 11052, 269, 634, 1401, 1027, 12541, 5010, 338, 563, 268, 5999, 547, 2307, 281, 9453, 519, 7209, 267, 1018, 568, 519, 2856, 286, 1548, 1223, 519, 10584, 581, 3843, 547, 3382, 909, 609, 519, 10750, 11570, 1935 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 938, 1158, 269, 18972, 723, 10892, 543, 849, 7182, 269, 1656, 952, 1100, 3652, 616, 13057, 721, 538, 5329, 6302, 267, 945, 6487, 875, 519, 1158, 786, 581, 269, 1452, 6302, 616, 2877, 538, 13646, 267, 3506, 267, 13039, 267, 543, 10876, 3425, 2170, 609, 1142, 824, 269, 898, 568, 1898, 547, 1246, 891, 6302, 607, 789, 948, 721, 1332, 543, 2285, 1142, 3606, 4708, 540, 2247, 269, 13245, 6302, 616, 1018, 11225, 513, 1434, 2078, 543, 3395, 6125, 609, 824, 1004, 269, 21940, 2456, 1291, 547, 513, 4182, 781, 3652, 267, 543, 8840, 873, 568, 606, 25213, 602, 1223, 2244, 596, 538, 7890, 269, 23893, 1259, 267, 1169, 1268, 814, 513, 3970, 799, 15385, 789, 1223, 1118, 596, 6336, 741, 11505, 563, 1692, 547, 5590, 21940, 2456, 538, 513, 20556, 888, 30787, 2635, 6302, 568, 2565, 547, 8108, 513, 2635, 2078, 543, 4180, 513, 1447, 10565, 1272, 269, 1879, 972, 616, 1100, 6302, 267, 621, 10741, 4055, 585, 513, 2603, 540, 18086, 1919, 269, 1703, 616, 2168, 543, 3929, 6302, 269, 1656, 1142, 568, 16148, 547, 1169, 1268, 267, 543, 930, 1004, 2648, 547, 524, 3291, 548, 543, 10027, 880, 1857, 10525, 540, 15754, 1247, 1866, 1265, 621, 18086, 269, 17553, 6302, 3340, 602, 596, 917, 3054, 543, 1018, 596, 1616, 543, 1018, 596, 666, 1405, 20496, 269, 8758, 547, 8380, 3054, 1101, 1317, 596, 666, 1405, 948, 24455, 950, 596, 991, 948, 269, 1703, 616, 9748, 540, 6302, 547, 1305, 547, 723, 513, 2635, 2078, 609, 3025, 1472, 596, 267, 543, 930, 540, 873, 616, 454, 268, 17546, 3054, 547, 2161, 1100, 547, 8631, 596, 1810, 1405, 1616, 547, 798, 610, 1810, 1405, 723, 942, 547, 798, 282, 713, 1259, 267, 596, 786, 711, 14922, 873, 563, 268, 8307, 2161, 8786, 256, 1403, 596, 1745, 596, 666, 5838, 610, 1683, 6351, 1510, 1373, 7142, 610, 2604, 323, 563, 268, 6258, 547, 2161, 9684, 596, 1510, 1022, 17847, 267, 26845, 267, 610, 24178, 563, 268, 5213, 1405, 581, 1932, 8149, 547, 824, 1004, 781, 2729, 543, 2149, 707, 942, 543, 2230, 563, 268, 5213, 1405, 1745, 19849, 21724, 950, 6998, 585, 948, 610, 5583, 282, 649, 782, 991, 948, 563, 268, 28423, 909, 8164, 596, 1745, 2576, 568, 15385, 519, 1899, 610, 1102, 2590, 532, 707, 2924, 563, 268, 9523, 2123, 1344, 827, 1866, 609, 741, 9844, 607, 789, 1058, 609, 16523, 563, 268, 6875, 5539, 585, 707, 2962, 543, 23294, 1125, 950, 596, 18084, 513, 1899, 563, 1692, 547, 5590, 21940, 2456, 609, 7731, 16840, 888, 30787, 6302, 609, 1920, 2818, 267, 2523, 609, 16254, 267, 666, 581, 1950, 267, 855, 4388, 666, 948, 2226, 513, 2635, 2078, 609, 513, 1920, 4759, 269, 11408, 2322, 538, 2247, 602, 6302, 666, 581, 4957, 267, 543, 952, 596, 1745, 13943, 609, 707, 6302, 267, 621, 781, 942, 547, 1577, 873, 979, 269, 4658, 786, 1491, 942, 547, 4188, 547, 707, 1007, 3652, 267, 855, 707, 16254, 1522, 1491, 11014, 269, 3371, 616, 930, 4388, 454, 268, 7046, 16490, 281, 1930, 2792, 568, 519, 1883, 547, 513, 2635, 2078, 267, 543, 596, 723, 547, 5968, 609, 707, 1920, 2818, 827, 707, 1007, 3652, 269, 23883, 707, 16254, 267, 789, 2648, 1373, 1472, 596, 267, 543, 952, 596, 616, 10669, 1506, 1510, 10213, 873, 827, 707, 1007, 1305, 6302, 267, 789, 786, 1589, 596, 13842, 873, 269, 589, 29134, 24107, 1131, 1118, 621, 10782, 676, 7683, 8840, 1346, 6302, 269, 3680, 23292, 30925, 543, 1305, 519, 5870, 950, 789, 2479, 3025, 568, 1863, 563, 268, 2142, 4712, 547, 14207, 281, 707, 1007, 6302, 1522, 711, 979, 1524, 1134, 609, 707, 3237, 269, 1656, 865, 1279, 596, 2661, 609, 873, 267, 596, 723, 547, 14207, 543, 2743, 873, 28870, 563, 268, 3143, 568, 513, 2347, 4845, 602, 596, 12582, 1405, 581, 12922, 547, 946, 1472, 707, 1920, 2818, 2676, 268, 2142, 2386, 596, 616, 6899, 609, 707, 1007, 1305, 540, 3652, 563, 268, 5590, 4539, 585, 8840, 707, 6302, 267, 2523, 593, 707, 16254, 610, 30980, 563, 268, 2422, 1920, 2818, 945, 10027, 880, 543, 1871, 596, 547, 1305, 6302, 609, 519, 1964, 540, 519, 1920, 269, 5192, 707, 3237, 547, 4125, 543, 1118, 873, 1305, 707, 6302, 865, 707, 16254, 666, 2463, 873, 563, 268, 5213, 1405, 581, 10792, 609, 707, 6302, 267, 855, 581, 6109, 609, 621, 454, 268, 2142, 10853, 609, 707, 3652, 563, 1692, 547, 5590, 21940, 2456, 609, 2659, 14886, 888, 293, 12188, 1222, 568, 835, 540, 1346, 1919, 538, 713, 1158, 602, 3340, 6302, 269, 21940, 2456, 538, 17052, 948, 547, 1832, 519, 2078, 2635, 543, 2922, 269, 898, 2337, 3251, 3020, 547, 3054, 543, 707, 2828, 269, 20226, 723, 7000, 602, 11505, 1510, 7182, 3947, 4055, 585, 15280, 1145, 543, 23998, 267, 865, 1934, 616, 4388, 585, 513, 2635, 11505, 2078, 912, 268, 21727, 1142, 824, 781, 942, 281, 942, 568, 540, 1164, 1871, 543, 666, 1405, 581, 8719, 267, 865, 952, 707, 3659, 2306, 942, 585, 596, 267, 1810, 1405, 22599, 693, 519, 2063, 8792, 543, 13030, 17930, 269, 10025, 741, 942, 267, 543, 789, 1058, 1871, 16523, 563, 268, 674, 5285, 559, 1142, 824, 781, 2115, 281, 6499, 543, 2115, 616, 1079, 1114, 1919, 282, 1247, 6499, 666, 581, 20495, 267, 596, 786, 991, 873, 547, 581, 513, 24986, 13105, 269, 589, 3659, 602, 666, 1405, 581, 538, 707, 942, 540, 991, 3085, 1405, 2463, 707, 6302, 563, 268, 7490, 1810, 1405, 1450, 873, 547, 946, 596, 281, 1034, 2828, 1131, 1152, 3346, 596, 950, 789, 991, 596, 585, 741, 2640, 269, 1452, 616, 519, 2186, 540, 2828, 596, 723, 547, 2995, 602, 952, 789, 666, 1405, 1413, 856, 585, 596, 267, 596, 4465, 1405, 1413, 856, 585, 873, 269, 14886, 1222, 1058, 581, 7059, 267, 711, 476, 2004, 270, 2004, 855, 1100, 5428, 1058, 1745, 1031, 563, 268, 1548, 596, 2995, 873, 281, 1018, 513, 3659, 6487, 827, 596, 1797, 875, 2673, 596, 616, 543, 952, 789, 1810, 1405, 2995, 596, 3388, 602, 4523, 538, 741, 1272, 267, 2463, 741, 3375, 269, 1656, 3006, 267, 513, 3659, 1522, 1616, 547, 533, 787, 883, 707, 1272, 282, 596, 666, 31635, 2995, 873, 267, 834, 296, 6415, 5386, 267, 596, 1810, 1405, 991, 711, 5855, 1701, 2142, 9237, 543, 1577, 873, 917, 596, 1810, 1405, 1616, 547, 2911, 827, 621, 563, 14300, 540, 21940, 2456, 538, 513, 20556, 454, 289, 895, 2456, 666, 581, 3929, 610, 2168, 267, 543, 621, 781, 16148, 547, 1114, 1004, 269, 6201, 540, 1455, 2168, 543, 3929, 6302, 596, 1294, 538, 938, 2486, 1331, 912, 268, 594, 2648, 21098, 532, 543, 8066, 707, 3946, 855, 711, 538, 1857, 454, 268, 594, 6415, 6899, 609, 10004, 1154, 543, 1257, 532, 267, 855, 7125, 616, 711, 1250, 3364, 454, 268, 594, 1869, 991, 930, 942, 585, 8885, 454, 268, 594, 4782, 7836, 32300, 609, 1250, 1920, 454, 268, 21894, 594, 2995, 596, 568, 5921, 585, 596, 4805, 267, 4849, 594, 2161, 6382, 454, 268, 594, 993, 711, 4712, 585, 3023, 267, 855, 21098, 532, 543, 15700, 616, 5386, 676, 803, 563, 268, 1284, 666, 1246, 1142, 824, 593, 1514, 2923, 267, 855, 5225, 1810, 1405, 10004, 609, 803, 454, 268, 594, 1810, 1405, 899, 1373, 1376, 1194, 950, 594, 6415, 562, 6260, 454, 268, 594, 1810, 1405, 3226, 5660, 4687, 1250, 12899, 454, 268, 1411, 666, 946, 1250, 6049, 855, 1810, 1405, 1224, 1250, 6835, 454, 30787, 21940, 2456, 3842, 9442, 454, 31636, 568, 4105, 538, 1169, 2078, 267, 543, 6158, 827, 1142, 824, 781, 6302, 666, 948, 15185, 267, 2828, 267, 3885, 267, 610, 9164, 723, 513, 2635, 2078, 269, 5213, 1405, 8263, 789, 786, 917, 519, 6302, 1310, 6158, 609, 596, 585, 513, 3923, 269, 21940, 776, 3652, 616, 10347, 6927, 602, 991, 547, 581, 28078, 543, 666, 581, 2944, 8164, 596, 1616, 269, 1403, 596, 616, 12922, 602, 707, 6580, 7649, 1131, 2746, 547, 707, 6302, 267, 1287, 621, 781, 513, 9963, 1129, 602, 519, 2078, 1131, 581, 14432, 269, 5901, 606, 1930, 2247, 950, 14379, 609, 707, 7649, 610, 3659, 950, 7234, 707, 6302, 269, 898, 1522, 1491, 942, 547, 4188, 543, 3082, 547, 707, 3652, 543, 1577, 873, 917, 950, 789, 3444, 269, 28528, 2995, 873, 789, 723, 18084, 519, 1899, 267, 543, 789, 786, 3082, 952, 789, 5963, 1871, 596, 563, 30144, 543, 24768, 21940, 2456, 454, 30144, 6302, 616, 2966, 547, 1118, 835, 6126, 543, 1745, 2922, 543, 782, 519, 3063, 1434, 4606, 267, 1247, 14432, 6302, 1118, 596, 1745, 899, 596, 616, 538, 7890, 269, 1656, 621, 666, 979, 1312, 2081, 269, 901, 568, 1946, 2792, 543, 1373, 1930, 16490, 616, 1271, 950, 4259, 6302, 269, 898, 9327, 1405, 581, 8799, 952, 707, 7649, 6499, 596, 547, 2759, 1055, 707, 6587, 20967, 2828, 1317, 646, 610, 1352, 834, 529, 513, 23279, 1826, 1701, 4634, 1851, 824, 3347, 609, 2828, 543, 3885, 267, 835, 814, 547, 581, 6297, 609, 519, 6302, 789, 2097, 909, 609, 269, 21940, 2456, 616, 5921, 547, 1711, 513, 12560, 543, 2635, 2078, 282, 621, 568, 711, 5921, 547, 581, 10792, 610, 1118, 1776, 1268, 1745, 899, 596, 13842, 873, 563, 1692, 547, 8073, 13245, 21940, 2456, 454, 289, 895, 2456, 616, 1898, 585, 513, 12560, 543, 2635, 2078, 609, 1866, 269, 3509, 1004, 1810, 1405, 917, 875, 547, 1305, 2635, 6302, 267, 543, 789, 1439, 909, 2870, 10792, 6302, 602, 1118, 1004, 2196, 2476, 689, 873, 269, 13245, 6302, 2995, 596, 1018, 596, 666, 20496, 607, 513, 1268, 543, 2285, 596, 4708, 540, 2247, 269, 1452, 616, 4388, 593, 2870, 1434, 6302, 454, 268, 25506, 707, 3929, 267, 2790, 267, 2168, 267, 543, 5289, 7182, 543, 2328, 873, 1524, 269, 1452, 616, 1919, 602, 1118, 596, 1745, 13943, 610, 596, 666, 15991, 20496, 563, 268, 10576, 1018, 2306, 596, 1745, 32659, 543, 9636, 269, 6496, 513, 1268, 20818, 741, 2418, 593, 596, 286, 1656, 596, 1745, 899, 596, 666, 1405, 1832, 909, 609, 741, 20772, 563, 268, 2142, 1463, 609, 707, 6302, 267, 607, 930, 1004, 666, 723, 513, 2182, 942, 1620, 873, 269, 1411, 666, 581, 6596, 609, 707, 6580, 7649, 543, 2995, 1864, 17017, 602, 596, 991, 2230, 543, 942, 585, 3054, 563, 268, 21940, 2456, 616, 2352, 547, 1246, 267, 2523, 952, 596, 723, 547, 2161, 1100, 547, 513, 2673, 3659, 610, 1920, 4759, 585, 519, 1101, 942, 269, 1411, 1522, 1256, 16203, 827, 930, 6302, 585, 519, 1101, 942, 267, 855, 621, 568, 782, 827, 707, 1582, 9113, 1051, 563, 268, 6884, 596, 1522, 3111, 547, 2743, 909, 609, 707, 6302, 543, 1265, 3054, 8840, 707, 3652, 1510, 1256, 6616, 269, 1411, 666, 2141, 4188, 543, 2307, 1018, 596, 1705, 602, 2306, 596, 1745, 713, 1259, 888, 268, 16418, 1489, 689, 5646, 8688, 832, 267, 2828, 267, 1920, 2818, 610, 19393, 269, 17553, 6302, 568, 711, 513, 5728, 543, 12582, 1405, 581, 10792, 610, 22266, 585, 596, 547, 1246, 269, 13245, 6302, 1058, 581, 6653, 543, 2653, 547, 1246, 563, 268, 21940, 2456, 666, 581, 1950, 267, 2523, 950, 596, 616, 1007, 547, 873, 269, 18786, 1507, 666, 948, 596, 1628, 6015, 543, 30593, 618, 543, 1287, 1847, 909, 547, 1711, 811, 10665, 563, 289, 895, 2456, 15329, 725, 538, 17716, 454, 9824, 725, 4721, 616, 2653, 547, 2226, 952, 519, 6302, 616, 2312, 547, 1142, 5428, 269, 1809, 3006, 267, 649, 29875, 824, 1004, 781, 6302, 1510, 16734, 621, 269, 1656, 713, 666, 1291, 547, 3972, 2152, 610, 2566, 269, 1306, 513, 1268, 267, 649, 1590, 1174, 1018, 568, 3617, 585, 519, 3970, 1899, 269, 898, 568, 1455, 547, 29875, 6302, 649, 616, 23387, 540, 563, 14300, 540, 21940, 2456, 1411, 616, 711, 589, 2264, 1411, 616, 15329, 908, 454, 4322, 6302, 616, 865, 1455, 649, 3006, 1810, 1405, 8275, 649, 616, 8840, 873, 269, 1358, 1331, 454, 268, 7201, 2452, 532, 2576, 781, 10761, 281, 713, 568, 513, 24819, 10465, 1899, 602, 649, 3444, 1510, 1256, 6616, 269, 3509, 1185, 1100, 2856, 621, 729, 1256, 513, 10465, 269, 13560, 2452, 532, 707, 3659, 781, 10761, 568, 3423, 908, 741, 6302, 563, 268, 3502, 4758, 991, 2614, 2230, 281, 707, 3659, 267, 7649, 267, 610, 1920, 4759, 2115, 942, 585, 2933, 267, 543, 865, 798, 596, 1317, 649, 782, 991, 942, 547, 1332, 543, 1265, 6000, 563, 268, 4635, 610, 2921, 741, 8631, 1510, 10479, 281, 621, 3085, 1405, 2339, 875, 2673, 596 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 519, 521, 22044, 839, 562, 343, 9781, 267, 16312, 8775, 4971, 946, 547, 1711, 513, 4183, 676, 16312, 24851, 513, 3296, 2059, 513, 6152, 269, 901, 5850, 594, 786, 3391, 875, 547, 1711, 476, 274, 291, 20017, 2203, 676, 16312, 8775, 4971, 563, 8489, 798, 594, 1265, 621, 888, 5804, 519, 10624, 263, 12749, 8473, 3046, 2567, 7696, 9847, 1374, 4183, 9847, 16312, 8775, 563, 5804, 519, 1753, 9184, 281, 3171, 1155, 1895, 9847, 1374, 4183, 6749, 16365, 9847, 16312, 8775, 563, 1692, 547, 1711, 476, 274, 291, 20017, 2203, 676, 16312, 8775, 4971, 888, 1607, 5850, 649, 616, 2469, 547, 1711, 476, 274, 291, 2203, 1739, 5373, 2630, 563, 272, 269, 1284, 786, 2721, 513, 17250, 593, 1535, 302, 344, 7077, 563, 12812, 9096, 11516, 4221, 547, 2347, 17250, 476, 272, 563, 273, 269, 4964, 2473, 689, 519, 13691, 267, 519, 16312, 8775, 13972, 786, 2408, 269, 769, 519, 12449, 6885, 267, 649, 786, 2824, 14258, 547, 16312, 8775, 269, 6987, 337, 8775, 609, 3845, 568, 476, 1556, 563, 12812, 15528, 547, 2347, 16312, 8775, 476, 272, 563, 274, 269, 3245, 519, 13691, 267, 2046, 2473, 7735, 563, 266, 769, 519, 1283, 8473, 3046, 267, 7455, 4341, 1592, 267, 2824, 2582, 7455, 543, 3247, 693, 10167, 4781, 563, 266, 769, 519, 12449, 6885, 267, 2824, 14258, 607, 4605, 2630, 563, 266, 8564, 16312, 8775, 3845, 568, 476, 5325, 630, 7825, 264, 538, 519, 7182, 1895, 563, 275, 269, 8571, 1007, 17250, 609, 10155, 2630, 563, 276, 269, 2422, 16312, 8775, 4971, 547, 1711, 1007, 3337, 607, 4605, 2630, 269, 769, 519, 7182, 1895, 267, 649, 786, 14764, 1376, 3845, 568, 476, 1015, 630, 7825, 1070, 1439, 3845, 568, 476, 1704, 630, 7825, 1916, 277, 269, 2422, 11604, 4183, 4971, 547, 1711, 1007, 3337, 563, 278, 269, 2422, 16312, 8775, 4971, 547, 1039, 1007, 3337, 593, 9781, 269, 769, 519, 7182, 1895, 267, 649, 786, 2824, 21136, 1871, 267, 1826, 476, 2190, 630, 7825, 264, 538, 519, 3845, 4216, 563, 279, 269, 12338, 513, 8559, 593, 9781, 676, 16312, 8775, 4971, 563, 280, 269, 12338, 513, 8559, 593, 519, 9781, 676, 16312, 8775, 10208, 4781, 563, 1015, 269, 8437, 15528, 547, 2347, 269, 0, 313, 773, 25632, 910, 10468, 1564, 523, 29543, 454, 8368, 540, 12937, 454, 313, 773, 25632, 1700, 10468, 1564, 523, 12962, 568, 513, 1826, 540, 3679, 1922, 770, 12962, 543, 621, 568, 3957, 1310, 519, 1147, 12849, 540, 1079, 4436, 7189, 945, 9168, 519, 12962, 269, 2290, 568, 519, 3566, 328, 6048, 30686, 2098, 773, 25632, 630, 6977, 280, 1700, 4572, 277, 264, 543, 824, 568, 519, 2619, 6048, 26179, 3026, 1564, 523, 630, 6977, 275, 1700, 6245, 279, 1040, 898, 729, 7620, 5189, 676, 6754, 661, 15590, 28727, 855, 1010, 12962, 729, 711, 2111, 547, 23309, 519, 3679, 1922, 770, 536, 659, 650, 328, 269, 898, 568, 1034, 4122, 1031, 547, 12962, 29901, 14385, 1756, 21061, 538, 513, 3099, 540, 15013, 899, 838, 583, 636, 267, 10729, 267, 10669, 267, 11483, 293, 267, 3092, 269, 4706, 1585, 14842, 568, 2139, 2687, 547, 519, 2470, 540, 4152, 17973, 269, 22731, 3679, 1922, 770, 12962, 585, 631, 269, 21061, 568, 849, 1572, 3905, 12962, 630, 16746, 547, 7311, 3002, 264, 1247, 585, 29901, 14385, 1756, 682, 335, 571, 324, 568, 1572, 4411, 12962, 2094, 621, 2115, 8022, 269, 6684, 585, 28969, 715, 18201, 807, 267, 522, 7514, 7370, 540, 9279, 322, 22941, 15495, 1776, 1826, 540, 14842, 568, 2877, 563, 32459, 2118, 540, 2098, 773, 25632, 910, 10468, 1564, 523, 29543, 454, 763, 4527, 540, 2362, 4568, 267, 9848, 1356, 565, 267, 9761, 3679, 267, 543, 2523, 1250, 3712, 545, 3679, 538, 519, 1591, 3774, 814, 1044, 1336, 519, 2932, 547, 5329, 519, 3679, 1922, 770, 3959, 540, 4551, 269, 901, 568, 519, 2601, 267, 519, 2098, 773, 25632, 9539, 324, 1564, 523, 12962, 630, 28425, 289, 12962, 264, 568, 3730, 585, 29901, 14385, 1756, 21061, 267, 606, 1696, 8344, 8665, 540, 21061, 269, 18729, 1922, 770, 3889, 1491, 3119, 12962, 11909, 610, 2699, 1247, 1875, 14092, 573, 3728, 3217, 4831, 12962, 4544, 630, 538, 2013, 540, 18861, 2940, 4544, 264, 610, 3039, 630, 538, 2013, 540, 4731, 778, 924, 3039, 1916, 320, 264, 3281, 895, 1769, 17209, 454, 321, 264, 1234, 698, 757, 543, 4837, 2264, 454, 268, 645, 684, 11420, 18723, 270, 8967, 761, 17689, 454, 268, 18514, 8520, 454, 268, 11162, 31294, 6954, 15942, 454, 268, 4460, 518, 4050, 270, 14776, 15513, 454, 268, 2961, 2513, 535, 1276, 7562, 630, 27146, 776, 12962, 994, 268, 476, 736, 260, 590, 17139, 584, 545, 3679, 610, 476, 274, 4939, 3679, 4568, 454, 268, 631, 26120, 4544, 630, 322, 3300, 12962, 610, 6281, 12962, 994, 1103, 519, 2013, 540, 3119, 21061, 454, 268, 838, 583, 636, 630, 1284, 1031, 713, 19494, 585, 28969, 607, 3254, 1657, 3239, 8094, 268, 19357, 658, 610, 561, 31099, 11067, 454, 268, 22050, 878, 20662, 720, 950, 838, 583, 636, 568, 15179, 539, 607, 538, 1453, 454, 1103, 2113, 10706, 21061, 454, 268, 5642, 20768, 454, 268, 20506, 23707, 454, 323, 264, 10866, 1852, 12490, 454, 268, 15474, 1852, 630, 15425, 2567, 29901, 14385, 1756, 21061, 454, 268, 20134, 6513, 630, 10998, 2567, 18521, 615, 747, 807, 19546, 454, 3682, 1027, 675, 540, 2098, 773, 25632, 910, 10468, 1564, 523, 29543, 454, 268, 16259, 1159, 792, 593, 513, 2973, 4837, 13472, 563, 268, 16959, 543, 4368, 519, 1159, 792, 563, 268, 24627, 519, 1159, 792, 609, 513, 3119, 12962, 267, 2178, 1286, 2513, 535, 1276, 7562, 3070, 563, 268, 14333, 519, 7041, 689, 18284, 519, 13472, 2394, 1175, 9252, 2501, 689, 519, 12962, 269, 5457, 268, 2710, 711, 14974, 563, 268, 27016, 585, 2947, 3764, 563, 268, 681, 20600, 609, 1216, 563, 268, 1546, 10233, 1125, 676, 476, 736, 260, 20962, 584, 545, 3679, 610, 476, 274, 260, 3679, 4568, 2394, 519, 1159, 792, 3587, 12779, 11909, 538, 2681, 269, 630, 342, 7159, 585, 5176, 2947, 3764, 994, 268, 681, 20600, 609, 1216, 563, 268, 15147, 519, 1159, 792, 609, 4831, 560, 664, 267, 18861, 2940, 4544, 585, 835, 8792, 563, 268, 681, 20600, 609, 1216, 563, 268, 667, 1778, 543, 3819, 563, 268, 10312, 519, 1159, 792, 1101, 896, 519, 1970, 1379, 630, 1015, 311, 264, 6662, 267, 543, 1287, 7747, 896, 519, 3282, 21599, 630, 1911, 311, 264, 6662, 540, 7623, 17209, 563, 4910, 738, 543, 28604, 454, 10907, 573, 16258, 645, 659, 650, 328, 630, 28425, 289, 2567, 11909, 610, 2699, 536, 26808, 454, 25889, 281, 9791, 630, 553, 4831, 560, 664, 1031, 12467, 2467, 616, 1585, 2081, 540, 8989, 1949, 585, 2098, 773, 25632, 9539, 324, 1564, 523, 28969, 4681, 971, 607, 519, 4741, 585, 8376, 6513, 543, 10644, 630, 24922, 1070, 519, 2622, 2657, 9257, 630, 21766, 1070, 543, 519, 4139, 5742, 18830, 16515, 828, 17533, 543, 25016, 8376, 630, 296, 308, 2969, 17162, 1040, 634, 1034, 1455, 543, 4922, 7608, 8760, 568, 594, 308, 2969, 17162, 543, 2687, 547, 621, 607, 5205, 563, 268, 3143, 11248, 2938, 281, 20134, 454, 268, 476, 272, 268, 280, 270, 1911, 744, 9281, 630, 11798, 21599, 2361, 2567, 1401, 716, 1297, 454, 268, 476, 1015, 268, 4200, 270, 1911, 744, 9281, 281, 1341, 630, 272, 266, 994, 268, 476, 272, 268, 1015, 23860, 9281, 2433, 1341, 266, 630, 273, 266, 994, 268, 476, 1015, 23860, 9281, 281, 1341, 10030, 630, 274, 266, 994, 268, 476, 276, 260, 20962, 584, 545, 3679, 568, 1031, 607, 513, 1232, 565, 528, 1944, 8665, 585, 28969, 29901, 14385, 1756, 682, 6768, 1247, 476, 272, 260, 20962, 584, 545, 3679, 3096, 607, 513, 1232, 565, 528, 1944, 8665, 585, 28969, 715, 18201, 807, 267, 15303, 30950, 29899, 267, 1772, 30950, 320, 522, 7514, 560, 563, 268, 918, 4176, 1735, 779, 14842, 540, 2098, 773, 25632, 9539, 324, 1564, 523, 568, 9053, 585, 28969, 9279, 322, 22941, 15495, 899, 15303, 30950, 29899, 267, 20676, 30950, 320, 267, 1772, 30950, 320, 522, 7514, 7370, 563, 268, 476, 271, 269, 1839, 260, 20962, 584, 545, 3679, 568, 4294, 607, 513, 1232, 565, 528, 1944, 8665, 585, 28969, 24032, 563, 268, 18729, 1922, 770, 9190, 1592, 3568, 29901, 14385, 1756, 21061, 267, 29901, 14385, 1756, 682, 6768, 267, 29901, 14385, 1756, 1159, 1122, 3901, 529, 267, 29901, 14385, 1756, 6830, 527, 636, 267, 715, 18201, 807, 30563, 267, 715, 18201, 807, 1490, 553, 8270, 18424, 267, 715, 18201, 807, 8883, 23706, 563, 268, 18729, 1922, 770, 2318, 15495, 616, 15303, 30950, 29899, 1612, 341, 636, 267, 20676, 30950, 320, 524, 599, 564, 534, 18424, 543, 1772, 30950, 320, 11350, 328, 563, 268, 674, 25193, 24032, 616, 849, 3679, 1922, 770, 2318, 563, 268, 590, 704, 3901, 9926, 10394, 2212, 568, 3679, 1922, 770, 2318, 563, 268, 634, 3498, 540, 513, 476, 274, 260, 3679, 4568, 2306, 29901, 14385, 1756, 1159, 1122, 3901, 529, 3679, 1922, 770, 2942, 1247, 476, 736, 260, 20962, 584, 545, 3679, 666, 1406, 798, 713, 269, 901, 568, 519, 2601, 267, 538, 513, 476, 2190, 3108, 10729, 3732, 513, 476, 274, 260, 3679, 4568, 1232, 565, 528, 6500, 568, 9053, 563, 268, 23531, 540, 18729, 6363, 770, 29543, 543, 1234, 26047, 616, 607, 5205, 8894, 268, 9978, 674, 1276, 7562, 281, 476, 271, 269, 274, 575, 332, 454, 268, 6599, 2643, 4568, 267, 4817, 260, 281, 476, 1015, 269, 271, 6447, 454, 268, 26263, 565, 281, 476, 276, 269, 271, 16720, 454, 268, 5940, 2683, 4826, 281, 476, 4817, 269, 271, 6447, 454, 10907, 573, 16258, 1546, 10233, 6500, 454, 268, 31527, 18608, 545, 3679, 13671, 281, 476, 274, 269, 271, 16720, 454, 268, 6599, 2643, 4568, 267, 4817, 260, 281, 476, 9032, 16720, 454, 300, 26120, 9791, 630, 299, 4141, 742, 2401, 779, 994, 268, 631, 26120, 9791, 281, 271, 269, 274, 575, 332, 454, 268, 6599, 2643, 4568, 267, 4817, 260, 281, 1789, 269, 271, 16720, 454, 268, 5940, 2683, 4826, 281, 1911, 269, 271, 6447, 454, 313, 773, 25632, 910, 10468, 1564, 523, 853, 7134, 3911, 792, 14272, 720, 14635, 454, 7069, 322, 14385, 1756, 682, 335, 571, 324, 536, 659, 650, 328, 538, 9168, 2098, 773, 25632, 9539, 324, 1564, 523, 630, 290, 1245, 12962, 264, 1793, 527, 2960, 1159, 792, 5843, 2675, 4878, 454, 306, 1584, 636, 538, 2098, 773, 25632, 9539, 324, 1564, 523, 26911, 1159, 792, 27109, 29901, 14385, 1756, 682, 335, 571, 324, 454, 10907, 573, 16258, 645, 659, 650, 328, 630, 28425, 289, 264, 540, 29901, 14385, 1756, 21061, 538, 2098, 773, 25632, 9539, 324, 1564, 523, 26911, 838, 583, 636, 1159, 792, 6029, 11909, 581, 12184, 267, 6094, 28795, 11425, 609, 28069, 17208, 454, 19617, 2730, 18729, 16258, 645, 659, 650, 328, 630, 274, 266, 264, 540, 29901, 14385, 1756, 21061, 538, 11916, 10410, 11948, 454, 5522, 4868, 540, 29901, 14385, 1756, 21061, 3679, 3728, 536, 659, 650, 328, 538, 2098, 773, 25632, 9539, 324, 1564, 523, 26911, 1159, 792, 540, 838, 583, 636, 5843, 2675, 4878, 454, 301, 18201, 807, 20503, 525, 538, 9168, 2098, 773, 25632, 9539, 324, 1564, 523, 26911, 1159, 792, 540, 4791, 19494, 5843, 2675, 4878, 454, 8002, 514, 3912, 806, 538, 2098, 773, 25632, 9539, 324, 1564, 523, 26911, 1159, 792, 6029, 3679, 3728, 2942, 454, 293, 2426, 639, 538, 18729, 16258, 853, 7134, 3911, 792, 6029, 14717, 770, 2281, 543, 29660, 1506, 874, 2801, 454, 290, 5670, 30950, 320, 524, 599, 564, 534, 18424, 538, 9168, 2098, 773, 25632, 9539, 324, 1564, 523, 26911, 1159, 792, 540, 28797, 454, 268, 13391, 13704, 1299, 8845, 779, 26616, 31814, 269, 3798, 6002, 281, 5975, 974, 344, 589, 269, 1280, 15816, 267, 12253, 674, 269, 19300, 332, 1299, 7705, 590, 269, 1284, 1170, 26709, 267, 476, 1321, 628, 1196, 476, 1220, 278, 267, 21629, 29021, 563, 268, 30930, 540, 26616, 31814, 269, 3798, 6002, 281, 1230, 22448, 681, 269, 10067, 517, 267, 18496, 717, 269, 2274, 327, 2006, 1299, 6723, 2494, 340, 1088, 529, 267, 476, 274, 6113, 7160, 1220, 278, 267, 21629, 29021, 563, 268, 11916, 31814, 26488, 18361, 12751, 538, 9375, 670, 6185, 269, 1772, 28086, 267, 15751, 18160, 5441, 540, 6925, 267, 1715, 3840, 267, 21629, 6789, 300, 630, 13563, 5980, 585, 31814, 1070, 6115, 9823, 563, 268, 15015, 540, 11916, 31814, 269, 3798, 6002, 281, 623, 10611, 269, 25371, 267, 661, 269, 808, 269, 31578, 267, 631, 269, 589, 269, 623, 6420, 518 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 539, 547, 2887, 1369, 519, 14345, 269, 595, 7506, 454, 1492, 1297, 540, 1489, 10321, 1031, 676, 519, 454, 1892, 634, 4130, 519, 1871, 540, 595, 267, 519, 811, 6213, 519, 5690, 454, 529, 547, 519, 2866, 1239, 630, 327, 27941, 13065, 543, 2539, 9186, 1916, 1892, 634, 3677, 519, 1871, 540, 595, 267, 519, 1447, 6213, 519, 5690, 568, 454, 1729, 519, 2866, 1239, 630, 12294, 13065, 543, 2362, 9186, 454, 1724, 269, 631, 8085, 12087, 299, 19798, 24639, 13048, 18306, 966, 17614, 3036, 454, 1892, 25789, 300, 3085, 1406, 1489, 24352, 20199, 8760, 454, 333, 8271, 269, 898, 7028, 9352, 8760, 543, 454, 29323, 908, 1239, 2798, 883, 1079, 5049, 563, 1892, 1280, 24352, 20199, 8760, 267, 519, 1482, 454, 1440, 4532, 2118, 568, 8246, 1310, 8840, 1524, 519, 454, 20123, 328, 8760, 1966, 883, 2789, 454, 321, 2435, 8760, 2042, 563, 1691, 269, 3040, 634, 2442, 2409, 799, 616, 1031, 547, 454, 704, 845, 3818, 11665, 2305, 593, 519, 1966, 454, 8063, 906, 1210, 25789, 300, 616, 607, 5205, 912, 1892, 2290, 5288, 2290, 630, 10976, 302, 264, 1935, 454, 1892, 2290, 5288, 2353, 630, 23701, 264, 1935, 454, 1892, 6034, 539, 589, 7094, 545, 8641, 630, 6395, 294, 264, 1935, 454, 1428, 269, 2290, 5288, 2290, 630, 10976, 302, 994, 1892, 901, 4480, 9397, 1524, 938, 24352, 20199, 454, 5035, 2305, 1966, 883, 1016, 2889, 21793, 799, 616, 454, 321, 2435, 8760, 2042, 269, 1924, 267, 1310, 713, 4640, 2676, 933, 1205, 9352, 1362, 13294, 829, 1142, 6292, 540, 5049, 269, 1280, 454, 325, 1400, 12605, 585, 1022, 3403, 946, 519, 1523, 454, 1993, 5354, 13359, 2059, 609, 519, 3845, 689, 519, 454, 332, 1173, 514, 607, 922, 6015, 21205, 563, 1892, 634, 2101, 1966, 609, 713, 1935, 568, 602, 649, 454, 17647, 547, 5721, 1932, 1082, 25789, 16039, 563, 1892, 769, 519, 2290, 3562, 268, 3080, 1935, 267, 649, 2119, 547, 1265, 519, 454, 30104, 30350, 602, 24508, 1063, 1169, 1079, 454, 5035, 525, 267, 10714, 532, 519, 2798, 540, 519, 3791, 1362, 454, 1626, 269, 3040, 1280, 1383, 267, 1934, 4414, 5174, 331, 826, 1899, 13290, 547, 454, 10946, 4476, 519, 9668, 1152, 1063, 4544, 454, 663, 2699, 2798, 1247, 898, 814, 4986, 547, 798, 609, 454, 1492, 3039, 2798, 563, 1704, 269, 2290, 5288, 2353, 630, 23701, 994, 1892, 769, 713, 4480, 547, 3589, 519, 3977, 585, 1007, 454, 6358, 267, 1175, 3589, 609, 1142, 540, 519, 1628, 25789, 16039, 454, 663, 1287, 1265, 799, 835, 12662, 519, 12605, 519, 454, 325, 691, 4554, 883, 519, 2318, 3148, 630, 2041, 327, 2314, 607, 513, 454, 20813, 2064, 21205, 585, 513, 1880, 25789, 300, 1916, 1892, 769, 519, 2290, 5288, 2353, 1935, 267, 649, 2119, 547, 1265, 513, 454, 30104, 30350, 547, 5094, 519, 5049, 269, 901, 1797, 454, 1492, 9668, 3217, 782, 2798, 883, 2272, 543, 454, 6533, 17337, 873, 883, 1079, 2516, 538, 799, 972, 454, 529, 513, 1895, 585, 519, 835, 1362, 2798, 543, 519, 824, 454, 16766, 585, 782, 824, 2798, 563, 1240, 269, 3040, 1280, 1383, 267, 1934, 519, 5682, 1467, 13290, 547, 454, 10946, 4476, 519, 7934, 1063, 3039, 2798, 543, 454, 718, 824, 2798, 693, 2899, 563, 866, 269, 3040, 589, 2582, 25789, 300, 1281, 9352, 8760, 543, 454, 4754, 16174, 1063, 1079, 5049, 269, 1924, 454, 3147, 1800, 547, 519, 1079, 1657, 4485, 267, 547, 454, 5035, 1518, 519, 1239, 2798, 689, 700, 5049, 1239, 1305, 563, 1892, 769, 519, 2290, 5288, 2353, 1935, 267, 519, 29976, 666, 454, 2224, 700, 25789, 16039, 563, 1892, 769, 519, 2290, 5288, 2290, 1935, 267, 519, 29976, 666, 454, 2224, 700, 27331, 268, 272, 8358, 273, 25789, 16039, 563, 736, 269, 6034, 539, 589, 7094, 545, 8641, 630, 6395, 294, 994, 1892, 901, 1935, 568, 811, 21712, 538, 2470, 454, 663, 621, 13290, 547, 9607, 519, 2042, 540, 519, 454, 3080, 5288, 2290, 543, 2290, 5288, 2353, 1935, 563, 1892, 901, 568, 513, 21370, 1935, 538, 799, 649, 454, 16766, 519, 5049, 1759, 593, 930, 9266, 454, 2641, 269, 12894, 299, 12114, 2752, 24639, 13048, 18306, 966, 17614, 3036, 454, 1892, 1879, 649, 3112, 5094, 1239, 609, 513, 2786, 454, 1467, 649, 946, 6348, 1107, 12430, 25789, 300, 563, 1892, 585, 799, 267, 649, 723, 918, 14533, 3252, 269, 1358, 454, 10520, 845, 1875, 31059, 5624, 883, 5276, 5624, 563, 1892, 898, 21810, 1239, 883, 1776, 10155, 865, 602, 454, 1492, 1239, 666, 581, 9286, 563, 1892, 898, 21810, 1079, 4632, 1535, 543, 586, 883, 1614, 454, 19702, 1963, 2059, 609, 1990, 269, 4475, 267, 519, 1239, 723, 454, 7120, 1540, 689, 476, 273, 5937, 2230, 547, 476, 274, 5937, 2230, 269, 1924, 649, 666, 454, 29342, 1176, 19665, 519, 1239, 676, 5373, 519, 1655, 454, 30104, 30350, 1063, 873, 563, 2537, 269, 918, 30204, 30600, 674, 7419, 290, 16739, 454, 1892, 898, 568, 513, 19556, 3252, 585, 13321, 454, 1892, 898, 3096, 930, 5276, 7223, 563, 298, 3287, 267, 586, 264, 815, 2999, 325, 3287, 1070, 535, 12169, 264, 11417, 1892, 7756, 25789, 300, 6620, 946, 1114, 2010, 454, 1993, 17830, 3252, 563, 2190, 269, 3040, 15316, 737, 1716, 1564, 2139, 616, 281, 8894, 272, 269, 12430, 17830, 454, 273, 269, 6348, 5276, 17830, 454, 274, 269, 7101, 658, 4493, 1599, 630, 305, 289, 293, 994, 1839, 269, 6673, 12195, 2975, 9569, 5508, 25789, 300, 5442, 11555, 3201, 20796, 17162, 454, 5278, 1455, 3156, 540, 25789, 300, 616, 8894, 1892, 8131, 7020, 454, 1892, 7956, 543, 5409, 3667, 11008, 1436, 454, 1892, 19032, 540, 2592, 454, 1892, 19871, 16784, 543, 6552, 4630, 1108, 7020, 454, 1892, 29986, 6284, 454, 1892, 4937, 1242, 16762, 1852, 31855, 15425, 264, 0, 4002, 4873, 476, 2764, 267, 1977, 2754, 9412, 564, 6997, 6707, 9250, 519, 5082, 1258, 15177, 8876, 8331, 781, 26480, 4306, 24535, 630, 290, 529, 331, 12762, 32534, 19024, 532, 3590, 5303, 15051, 543, 32522, 15331, 264, 16264, 28116, 25823, 883, 9855, 10739, 563, 290, 4338, 4306, 24535, 568, 513, 17196, 14089, 13355, 267, 476, 1839, 10275, 559, 6945, 9682, 602, 814, 24389, 593, 513, 1686, 6194, 3460, 547, 519, 9855, 267, 1141, 621, 786, 2263, 543, 1449, 513, 2189, 267, 14248, 18967, 673, 16264, 10739, 563, 763, 3483, 540, 519, 5692, 568, 547, 1353, 519, 14033, 7304, 624, 559, 710, 541, 670, 14900, 2107, 4226, 630, 24520, 9816, 264, 1107, 513, 10300, 334, 11057, 10739, 540, 519, 9855, 267, 799, 267, 2687, 547, 3744, 267, 1058, 1831, 513, 588, 1645, 1858, 585, 2417, 16264, 13485, 269, 8331, 4566, 547, 946, 713, 10739, 585, 519, 19835, 3118, 2282, 2000, 12762, 20771, 6728, 267, 606, 856, 14006, 602, 568, 851, 540, 8331, 781, 3203, 28087, 1982, 269, 4438, 519, 5692, 267, 26480, 4306, 24535, 786, 1449, 519, 1279, 3856, 6617, 540, 713, 10739, 563, 2005, 568, 4397, 602, 26480, 4306, 24535, 786, 3914, 922, 10278, 676, 10024, 519, 16264, 10739, 538, 2185, 3275, 543, 3251, 972, 585, 693, 2547, 3670, 3275, 269, 0, 292, 19223, 540, 3819, 7723, 6821, 454, 291, 787, 6149, 6821, 616, 3889, 602, 1683, 9249, 585, 1082, 2831, 543, 2371, 269, 1306, 812, 13402, 3615, 540, 519, 2686, 5251, 267, 799, 693, 519, 1482, 942, 1683, 9249, 585, 1082, 13155, 2249, 267, 3819, 6149, 6821, 1404, 606, 1271, 1909, 538, 519, 5726, 540, 9265, 269, 1306, 5276, 5251, 2609, 267, 789, 1118, 606, 1271, 9295, 547, 8733, 14479, 269, 634, 2640, 540, 3819, 6149, 6821, 585, 9265, 616, 3226, 1164, 950, 789, 2170, 609, 824, 5251, 2609, 602, 616, 1271, 585, 9265, 630, 1117, 2471, 267, 11315, 2250, 999, 267, 1216, 4703, 1040, 1879, 19620, 3819, 6149, 6821, 267, 2027, 3007, 1058, 581, 6976, 547, 519, 5726, 540, 824, 5251, 2609, 269, 0, 292, 2006, 322, 11692, 4303, 281, 18270, 908, 15213, 538, 4516, 630, 1001, 271, 270, 1708, 271, 994, 301, 520, 26474, 700, 269, 8361, 5937, 21779, 454, 10666, 519, 3883, 454, 2691, 519, 8574, 540, 519, 589, 2513, 819, 540, 26913, 2920, 267, 2500, 4864, 476, 272, 267, 476, 8146, 275, 267, 721, 22363, 538, 519, 1439, 540, 8474, 2429, 519, 3703, 7276, 267, 1004, 540, 3979, 16350, 9976, 741, 16012, 5191, 269, 3767, 3979, 12677, 535, 1872, 1438, 10437, 267, 1863, 3109, 11082, 267, 543, 519, 1906, 6967, 20665, 20338, 1223, 2661, 4652, 9116, 1229, 2729, 538, 4516, 1107, 513, 4641, 17709, 540, 11812, 563, 1607, 1007, 267, 1134, 3146, 572, 2117, 1117, 1433, 2488, 5813, 883, 519, 5137, 267, 1646, 267, 543, 4720, 540, 513, 3982, 3979, 4211, 534, 6598, 2245, 998, 10855, 3140, 6589, 543, 13267, 2592, 269, 634, 1514, 267, 2686, 267, 2797, 267, 543, 3872, 2853, 540, 661, 2006, 322, 11692, 4303, 7908, 8481, 2066, 4516, 616, 8268, 267, 609, 8561, 593, 14411, 267, 25429, 32108, 267, 1715, 19839, 1873, 1157, 267, 20563, 267, 543, 3703, 12052, 563, 301, 520, 26474, 8361, 5937, 21779, 568, 513, 4116, 267, 606, 3872, 6437, 22639, 267, 543, 513, 10584, 21751, 538, 519, 1646, 540, 1565, 2326, 602, 1445, 593, 519, 3979, 4144, 23159, 1995, 269, 8191, 540, 661, 2006, 322, 11692, 4303, 281, 18270, 908, 15213, 538, 4516, 267, 1352, 568, 849, 519, 2069, 11285, 585, 27915, 519, 932, 1622, 281, 10558, 532, 513, 1715, 21931, 540, 4516, 779, 10020, 538, 519, 26789, 21805, 267, 513, 1788, 540, 519, 4498, 28625, 31793, 2006, 4659, 693, 3840, 2160, 269, 2701, 568, 7022, 540, 519, 14411, 4563, 3778, 5980, 543, 7548, 540, 3979, 8225, 3778, 693, 3840, 2160, 563, 288, 7473, 295, 3036, 281, 8361, 5937, 21779, 267, 14844, 26474, 454, 303, 308, 13993, 23360, 2207, 281, 667, 1495, 1248, 4964, 454, 291, 12442, 5508, 29706, 13993, 2975, 9569, 281, 476, 1001, 271, 630, 3725, 14876, 476, 1708, 271, 994, 11073, 540, 6006, 0, 303, 23307, 6285, 666, 581, 5393, 27676, 267, 3056, 547, 4250, 543, 4160, 602, 1860, 513, 1268, 779, 3232, 1272, 269, 1809, 1018, 952, 972, 729, 606, 2500, 1259, 540, 8165, 11784, 6285, 1510, 519, 946, 540, 6646, 286, 9373, 9066, 1107, 513, 5553, 6040, 2259, 1031, 585, 11005, 543, 2566, 8323, 269, 3414, 519, 946, 540, 13533, 7244, 2553, 267, 1560, 18767, 267, 543, 11461, 11052, 267, 1082, 1004, 723, 1336, 602, 789, 616, 2111, 547, 2569, 741, 2589, 2404, 609, 11784, 6285, 563, 1103, 713, 2376, 649, 786, 2263, 875, 9066, 949, 948, 538, 5883, 610, 1256, 27955, 11784, 6285, 269, 1284, 786, 1865, 519, 2640, 540, 1210, 9066, 607, 1134, 607, 930, 4388, 593, 875, 1655, 547, 2259, 621, 865, 596, 666, 1376, 4743, 1732, 4166, 2336, 8133, 267, 9066, 666, 948, 538, 27955, 11784, 6285, 607, 621, 666, 948, 2569, 2589, 2404, 609, 873, 269, 25990, 10607, 5834, 543, 11009, 267, 799, 2337, 547, 1445, 593, 519, 1459, 4090, 3079, 540, 20468, 827, 519, 2104, 610, 15555, 3215, 593, 2250, 2621, 563, 7437, 2834, 2259, 540, 9066, 2553, 971, 607, 13533, 7244, 543, 11461, 11052, 267, 835, 666, 1427, 1778, 741, 2634, 547, 4431, 8335, 543, 5372, 4250, 11897, 1424, 4555, 609, 22196, 3283, 269, 3958, 267, 1199, 23550, 5781, 1223, 948, 1628, 3929, 6043, 936, 942, 799, 949, 2061, 11784, 6285, 689, 9648, 15587, 563, 1432, 616, 11784, 6285, 267, 741, 2589, 267, 543, 741, 3123, 888, 303, 23307, 6285, 616, 14501, 540, 7920, 4250, 610, 4160, 602, 666, 2097, 593, 10393, 543, 1419, 1510, 9963, 269, 1358, 666, 581, 1360, 31029, 543, 666, 2014, 2168, 2589, 971, 607, 513, 17040, 2295, 267, 9221, 1928, 267, 26032, 540, 7362, 267, 24852, 267, 1726, 3387, 1782, 610, 24373, 267, 4743, 25861, 610, 546, 714, 5414, 267, 15353, 610, 14159, 1928, 269, 1452, 4606, 540, 9810, 666, 2063, 585, 1896, 3764, 543, 616, 1419, 10483, 676, 606, 19450, 4250, 602, 1945, 1360, 3983, 568, 2469, 547, 4755, 563, 763, 3169, 2014, 540, 11784, 6285, 568, 711, 7357, 1634, 855, 789, 949, 581, 15427, 676, 1978, 2621, 610, 3871, 971, 607, 22125, 4025, 267, 2816, 11042, 610, 11400, 269, 4033, 3123, 949, 1331, 11976, 267, 2790, 1072, 2175, 899, 2022, 32034, 2566, 4524, 630, 303, 15056, 1070, 6219, 6057, 267, 5312, 2566, 610, 4160, 4713, 269, 769, 930, 2665, 267, 11784, 6285, 723, 1044, 5532, 547, 2242, 538, 519, 2634, 7998, 1813, 547, 6527, 610, 2168, 4576, 563, 303, 23307, 6285, 666, 581, 32049, 543, 1253, 7675, 585, 1346, 7092, 689, 873, 269, 1809, 972, 616, 2081, 547, 4383, 11784, 6285, 1210, 1114, 5574, 971, 607 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1477, 258, 2254, 566, 543, 17016, 519, 1101, 12045, 540, 602, 9971, 269, 5897, 5814, 21267, 28272, 607, 12301, 1477, 5814, 11885, 607, 5286, 1477, 10823, 269, 5882, 269, 2224, 3488, 572, 629, 1941, 22554, 28186, 262, 10142, 5035, 27155, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 2608, 1723, 324, 13266, 8029, 1038, 5727, 6358, 14170, 1477, 1038, 5727, 1477, 1038, 1582, 11519, 1723, 324, 13266, 815, 1592, 263, 1723, 324, 13266, 3418, 24541, 825, 1219, 6449, 516, 1440, 9191, 1345, 8029, 1038, 2132, 834, 21691, 8662, 257, 1341, 1193, 6025, 340, 921, 4311, 11519, 1723, 324, 13266, 264, 10142, 825, 1219, 30775, 4311, 8029, 1038, 5727, 1607, 1599, 7125, 519, 6310, 6041, 1477, 2018, 540, 9971, 1599, 23228, 1038, 5727, 1477, 1038, 535, 13448, 6889, 834, 1477, 1038, 585, 524, 538, 1582, 11519, 1723, 324, 13266, 6769, 2018, 535, 13448, 266, 6889, 343, 1262, 24001, 834, 269, 8971, 6262, 3418, 1038, 2132, 535, 13448, 5897, 825, 1219, 1101, 318, 1457, 29719, 4311, 8029, 1038, 5727, 901, 1599, 21410, 519, 1101, 12045, 18851, 1477, 1038, 1582, 11519, 1457, 17300, 318, 1723, 27889, 815, 1496, 328, 268, 272, 585, 1775, 538, 1582, 11519, 1723, 324, 13266, 952, 1775, 256, 284, 271, 15947, 1038, 2132, 1582, 8807, 15635, 31476, 825, 1219, 1118, 318, 7120, 4311, 8029, 1038, 5727, 901, 1505, 1599, 786, 1118, 519, 4729, 540, 9971, 12045, 18851, 1477, 1038, 1582, 11519, 1998, 815, 1496, 15947, 1038, 1582, 11519, 323, 1998, 815, 1496, 15947, 1038, 1948, 6358, 1599, 1239, 1477, 1038, 585, 1775, 538, 5286, 7456, 1231, 10628, 8987, 1015, 267, 1015, 8029, 2018, 586, 284, 271, 1948, 12719, 1239, 2798, 593, 586, 14289, 585, 3403, 30775, 1477, 2018, 585, 795, 538, 1582, 11519, 1723, 324, 13266, 6769, 3546, 586, 23785, 328, 1262, 329, 1477, 2018, 1582, 11519, 1998, 6910, 12169, 3418, 1038, 1582, 11519, 1998, 815, 5286, 15126, 4311, 11519, 1998, 3418, 1038, 1948, 323, 969, 7007, 30775, 1239, 1477, 1038, 585, 1775, 538, 5286, 7456, 1231, 10628, 8987, 1015, 267, 1015, 8029, 2018, 586, 284, 271, 1948, 12719, 1239, 1448, 593, 586, 14289, 585, 8174, 730, 30775, 1477, 2018, 585, 795, 538, 1582, 11519, 1457, 17300, 318, 1723, 27889, 6769, 3546, 586, 23785, 328, 1262, 329, 1477, 2018, 1582, 11519, 323, 1998, 6910, 12169, 3418, 1038, 1582, 11519, 323, 1998, 815, 5286, 15126, 4311, 11519, 323, 1998, 3418, 1038, 4453, 815, 12301, 8807, 2682, 14052, 1038, 4949, 815, 12301, 269, 31320, 14052, 1038, 4949, 11859, 9471, 15630, 4671, 6506, 318, 6570, 3488, 321, 18847, 20298, 1038, 4949, 13885, 9471, 15630, 4671, 6506, 318, 6570, 3488, 3847, 20298, 1038, 1535, 284, 12639, 7456, 1231, 10628, 8987, 1015, 267, 1015, 3418, 1038, 1820, 3287, 17482, 3418, 1038, 4949, 19502, 3287, 267, 1582, 11519, 1998, 267, 2681, 8782, 1042, 3299, 6003, 8782, 19152, 9577, 20298, 1038, 4949, 19502, 3287, 267, 1582, 11519, 323, 1998, 267, 2681, 8782, 13582, 3299, 6003, 8782, 5575, 14216, 29719, 540, 3403, 1599, 20298, 1038, 4949, 4732, 335, 1149, 9131, 3847, 262, 4940, 3553, 318, 6570, 3488, 22487, 20298, 1038, 4949, 4732, 335, 1149, 9131, 321, 18847, 262, 4940, 3553, 318, 6570, 3488, 22487, 20298, 1038, 4949, 4732, 335, 1149, 9131, 9008, 262, 4940, 3553, 318, 6665, 1043, 263, 16178, 3418, 1038, 4949, 4732, 335, 1149, 9131, 2431, 262, 4940, 3553, 318, 6665, 1043, 263, 16178, 3418, 1038, 4949, 269, 5586, 754, 10857, 665, 8782, 21639, 2451, 20298, 1038, 12301, 20481, 14052, 17264, 5897, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 513, 815, 27155, 263, 275, 267, 274, 267, 273, 3418, 825, 1820, 5416, 3418, 825, 1820, 5416, 8807, 15635, 3890, 3418, 825, 1820, 5416, 8807, 1009, 318, 1457, 29719, 3890, 3418, 825, 1820, 5416, 6230, 820, 318, 7120, 3890, 10142, 0, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 1219, 12457, 24927, 4311, 267, 562, 281, 703, 264, 9847, 5903, 27776, 14158, 1038, 759, 267, 3063, 815, 1496, 271, 3910, 476, 272, 454, 1038, 585, 9041, 538, 2039, 3799, 2187, 2018, 512, 815, 7003, 263, 637, 994, 2018, 585, 795, 538, 2039, 6025, 268, 272, 267, 910, 272, 267, 910, 272, 2187, 3546, 759, 6910, 263, 637, 14728, 316, 1341, 3063, 994, 2018, 3063, 24177, 284, 476, 272, 454, 1038, 2132, 759, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1151, 340, 815, 8827, 4590, 825, 1820, 4433, 565, 340, 3052, 2001, 24927, 263, 271, 4917, 4449, 0, 5035, 3687, 1805, 871, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 8173, 1038, 3355, 1125, 707, 1239, 2497, 1934, 563, 1038, 8173, 1038, 1582, 6230, 25514, 815, 11713, 1038, 1582, 269, 2381, 815, 29129, 825, 1219, 7903, 4311, 267, 1535, 281, 703, 264, 9847, 7183, 912, 1038, 1582, 6230, 25514, 6910, 3287, 994, 1038, 952, 7003, 4311, 6230, 25514, 264, 2652, 476, 272, 912, 2018, 1582, 269, 2381, 6910, 3287, 994, 1038, 3116, 912, 2018, 1582, 269, 2381, 6910, 263, 2381, 4311, 269, 2381, 15631, 272, 3910, 1535, 11723, 825, 1219, 1402, 4311, 264, 9847, 7183, 912, 1038, 952, 7003, 4311, 6230, 25514, 264, 10922, 476, 271, 912, 2018, 2132, 454, 1038, 1582, 6230, 25514, 21014, 8987, 272, 994, 1038, 1582, 269, 2381, 21014, 8987, 272, 2020, 825, 1219, 1283, 4311, 264, 9847, 703, 912, 1038, 952, 7003, 4311, 6230, 25514, 264, 10922, 476, 271, 912, 2018, 2132, 7183, 454, 1038, 2132, 1582, 6230, 25514, 15631, 272, 6540, 825, 1219, 1205, 14737, 4311, 264, 9847, 703, 912, 1038, 952, 7003, 4311, 6230, 25514, 264, 10922, 476, 271, 912, 2018, 2132, 7183, 454, 1038, 2132, 1582, 269, 2381, 15631, 272, 6540, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 2659, 3687, 1805, 871, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 825, 1535, 815, 476, 274, 454, 825, 10518, 815, 3687, 1805, 871, 4590, 825, 10518, 4877, 2313, 8987, 273, 994, 825, 10518, 4877, 2313, 263, 271, 994, 825, 10518, 4877, 2313, 8987, 274, 994, 825, 1820, 263, 23637, 10947, 14737, 15405, 825, 10518, 21014, 4590, 825, 1820, 263, 23637, 6745, 641, 15405, 825, 1820, 263, 23637, 10947, 14737, 15405, 0, 5228, 1187, 551, 8962, 1104, 2569, 7531, 5035, 8827, 24998, 2187, 825, 1219, 2262, 17954, 752, 4311, 267, 521, 267, 2262, 291, 1112, 2187, 1038, 8173, 1038, 2433, 6943, 521, 281, 1193, 454, 1038, 2433, 6943, 2262, 291, 1112, 281, 5903, 314, 1598, 2639, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 1582, 4732, 815, 521, 454, 1038, 1582, 269, 5320, 291, 1112, 815, 2262, 291, 1112, 454, 1038, 1948, 2132, 1582, 18622, 15479, 633, 263, 271, 267, 7003, 4311, 4732, 4917, 1038, 2132, 1582, 269, 28375, 10797, 825, 1219, 25276, 4311, 267, 1376, 267, 1439, 2187, 1038, 952, 1582, 4732, 314, 11034, 281, 1439, 316, 538, 1582, 269, 5320, 291, 1112, 912, 2018, 2132, 6936, 454, 1038, 585, 1775, 538, 2039, 263, 11034, 266, 272, 267, 1439, 2187, 2018, 952, 1582, 4732, 314, 11034, 281, 1775, 316, 538, 1582, 269, 5320, 291, 1112, 912, 3546, 759, 815, 1582, 18622, 15479, 633, 9217, 267, 1439, 994, 3546, 952, 759, 912, 7386, 2132, 6936, 454, 1038, 2132, 8771, 692, 825, 1219, 21767, 4311, 2187, 1038, 31185, 815, 1496, 12148, 585, 9041, 538, 2039, 12759, 4311, 4732, 11924, 272, 22708, 1038, 585, 1775, 538, 2039, 12759, 4311, 4732, 9984, 272, 267, 910, 272, 267, 910, 272, 2187, 2018, 512, 815, 1496, 1345, 4732, 5157, 281, 329, 316, 538, 1582, 269, 5320, 291, 1112, 543, 31185, 14728, 316, 585, 795, 538, 2039, 9217, 266, 272, 267, 7003, 4311, 4732, 11924, 272, 22708, 2018, 31185, 5157, 316, 815, 2569, 10857, 10033, 1535, 267, 586, 281, 1535, 610, 586, 267, 512, 994, 1038, 2132, 31185, 314, 271, 6540, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1151, 340, 815, 8827, 4590, 825, 521, 815, 1412, 548, 564, 13892, 7055, 825, 2262, 291, 1112, 815, 18358, 548, 564, 3299, 1412, 13892, 23300, 825, 1820, 4433, 565, 340, 269, 5320, 17954, 752, 4433, 267, 2262, 291, 1112, 4917, 0, 5228, 17511, 1104, 5903, 692, 5035, 8827, 912, 825, 1219, 1985, 303, 1069, 16615, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 7183, 912, 1038, 8173, 1038, 1684, 711, 2132, 4376, 267, 12189, 15358, 538, 268, 2897, 3079, 563, 1038, 8173, 1038, 1775, 815, 7003, 25225, 264, 910, 476, 272, 454, 1038, 1247, 1775, 3436, 476, 271, 912, 2018, 952, 15358, 5157, 316, 3436, 15358, 5157, 268, 272, 14158, 3546, 10917, 815, 15358, 5157, 268, 272, 2639, 3546, 585, 795, 538, 2039, 12759, 25225, 9984, 272, 267, 1775, 268, 272, 267, 910, 272, 2187, 7386, 952, 15358, 14728, 316, 3436, 10917, 912, 13376, 15358, 5157, 268, 272, 316, 815, 15358, 14728, 2639, 13376, 15358, 14728, 316, 815, 10917, 454, 13376, 1582, 18622, 2091, 25225, 267, 1775, 267, 7003, 25225, 9984, 272, 994, 13376, 2736, 454, 3546, 2736, 454, 2018, 1775, 20699, 476, 272, 454, 1038, 952, 1775, 2652, 476, 271, 912, 2018, 1582, 18622, 2091, 25225, 267, 476, 271, 267, 7003, 25225, 9984, 272, 2020, 825, 1219, 9258, 4311, 267, 15358, 267, 521, 267, 552, 2187, 1038, 1247, 521, 2999, 552, 912, 2018, 10917, 815, 15358, 314, 338, 2639, 2018, 15358, 314, 338, 316, 815, 15358, 314, 324, 2639, 2018, 15358, 314, 324, 316, 815, 10917, 454, 2018, 521, 6834, 476, 272, 454, 2018, 552, 20699, 476, 272, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 815, 8827, 4590, 825, 15358, 815, 1496, 274, 267, 273, 267, 272, 2639, 825, 521, 12785, 303, 1069, 16615, 25225, 994, 825, 1820, 25225, 264, 0, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 5035, 5903, 11966, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 12785, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 9258, 298, 27026, 4311, 267, 2212, 281, 5903, 11966, 267, 737, 281, 703, 264, 9847, 5903, 11966, 912, 1038, 952, 737, 2652, 476, 272, 912, 2018, 2132, 2212, 454, 1038, 759, 815, 5903, 11966, 263, 14085, 994, 1038, 759, 815, 2212, 454, 1038, 31452, 815, 11713, 1038, 585, 1775, 538, 2039, 17347, 266, 272, 2187, 2018, 533, 815, 759, 454, 2018, 31452, 6910, 9638, 994, 1038, 936, 815, 8771, 454, 1038, 1247, 6936, 912, 2018, 585, 1775, 538, 2039, 263, 272, 267, 737, 266, 272, 2187, 3546, 952, 31452, 5157, 268, 272, 4940, 10113, 568, 7183, 912, 7386, 936, 815, 6936, 454, 7386, 2736, 454, 3546, 31452, 5157, 316, 815, 31452, 5157, 268, 272, 4940, 10113, 454, 2018, 952, 936, 912, 3546, 2736, 454, 2018, 31452, 314, 271, 4940, 10113, 815, 31452, 25208, 4940, 10113, 454, 2018, 31452, 314, 272, 4940, 10113, 815, 31452, 25208, 2639, 2018, 585, 1775, 538, 2039, 17347, 267, 476, 272, 267, 910, 272, 2187, 3546, 31452, 5157, 4940, 10113, 815, 31452, 5157, 268, 272, 2639, 1038, 2132, 759, 12785, 0, 5035, 8827, 912, 825, 1219, 18214, 1805, 4202, 4311, 267, 562, 281, 703, 264, 9847, 703, 912, 1038, 1948, 2132, 1582, 18622, 15479, 633, 3799, 994, 1038, 2132, 1582, 269, 28375, 3799, 2020, 825, 1219, 25276, 4311, 267, 562, 2187, 1038, 952, 562, 2652, 476, 272, 912, 2018, 2132, 476, 272, 454, 1038, 952, 562, 2652, 476, 273, 912, 2018, 2132, 476, 273, 454, 1038, 2132, 1582, 18622, 15479, 633, 3799, 268, 272, 264, 1341, 1582, 18622, 15479, 633, 3799, 268, 273, 2020, 825, 1219, 21767, 4311, 267, 562, 2187, 1038, 952, 562, 2652, 476, 272, 912, 2018, 2132, 476, 272, 454, 1038, 952, 562, 2652, 476, 273, 912, 2018, 2132, 476, 273, 454, 1038, 1904, 815, 1496, 271, 585, 9041, 538, 2039, 3799, 266, 272, 22708, 1038, 1904, 314, 272, 316, 815, 476, 272, 454, 1038, 1904, 314, 273, 316, 815, 476, 273, 454, 1038, 1775, 815, 476, 274, 454, 1038, 1247, 1775, 10922, 562, 912, 2018, 1904, 5157, 316, 815, 1904, 5157, 268, 272, 316, 1341, 1904, 5157, 268, 273, 2639, 2018, 1775, 6834, 476, 272, 454, 1038, 2132, 1904, 19559, 6540, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 521, 815, 8827, 4590, 825, 562, 815, 476, 274, 454, 825, 1820, 4433, 17085, 12494, 1805, 4202, 3799, 4297 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 910, 476, 2735, 273, 454, 268, 715, 19130, 15879, 476, 3707, 278, 910, 476, 1001, 271, 454, 268, 808, 19130, 15879, 476, 1960, 275, 910, 476, 1220, 279, 454, 268, 20844, 681, 19130, 15879, 476, 4572, 276, 910, 476, 1220, 280, 454, 268, 681, 19130, 15879, 476, 4350, 273, 910, 476, 1960, 274, 454, 268, 717, 1551, 808, 19130, 15879, 476, 4198, 280, 910, 476, 2735, 279, 454, 268, 645, 19130, 15879, 476, 4350, 277, 910, 476, 1960, 276, 454, 268, 19468, 19130, 15879, 476, 4489, 273, 910, 476, 1960, 280, 454, 268, 631, 19130, 15879, 476, 3422, 279, 910, 476, 1220, 277, 454, 268, 590, 19130, 15879, 476, 1220, 277, 910, 476, 1220, 278, 0, 1432, 781, 519, 3883, 540, 2098, 788, 7315, 11672, 2353, 6168, 888, 8005, 654, 4710, 519, 3883, 540, 13744, 1695, 543, 1548, 781, 922, 20828, 888, 1432, 6496, 834, 1492, 22900, 257, 538, 31694, 476, 1321, 11724, 888, 763, 476, 1556, 628, 3923, 540, 519, 6014, 1032, 630, 313, 3663, 7559, 327, 476, 272, 281, 278, 1070, 7222, 547, 5988, 563, 7775, 337, 267, 6276, 267, 631, 6993, 1421, 667, 6185, 269, 4937, 15503, 269, 834, 22209, 787, 585, 1412, 306, 4047, 289, 2969, 262, 2668, 834, 17220, 9208, 6426, 15610, 2668, 476, 4489, 276, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 11321, 580, 1245, 281, 1215, 547, 1332, 693, 1753, 888, 11321, 580, 1245, 5810, 616, 835, 540, 519, 1034, 2442, 2249, 540, 5993, 9428, 10838, 22254, 689, 1169, 5032, 269, 1656, 1946, 12582, 1406, 789, 581, 286, 4256, 28480, 1974, 568, 3833, 1279, 7132, 741, 7524, 24698, 540, 5835, 267, 15309, 267, 543, 10538, 1118, 835, 540, 519, 1655, 23937, 547, 707, 10651, 267, 30504, 267, 610, 17428, 269, 1411, 666, 2141, 4603, 609, 873, 676, 4946, 2261, 580, 1245, 2371, 547, 519, 10665, 585, 7393, 519, 1413, 540, 707, 18147, 269, 3057, 580, 1245, 791, 11301, 606, 24710, 602, 814, 513, 2631, 540, 838, 545, 1465, 543, 17216, 3947, 513, 10943, 1662, 540, 2681, 547, 707, 4677, 2429, 519, 4832, 563, 29995, 267, 2261, 580, 1245, 5810, 616, 3833, 27031, 547, 3309, 4365, 543, 3037, 2175, 267, 855, 789, 16036, 741, 1655, 538, 3002, 269, 1411, 786, 1265, 1082, 2010, 540, 2261, 580, 9529, 8151, 689, 9910, 2137, 547, 9649, 8747, 543, 789, 616, 835, 540, 519, 1655, 5521, 28084, 757, 269, 9747, 267, 666, 581, 6738, 609, 707, 5388, 543, 5613, 547, 1832, 519, 12961, 2476, 269, 1809, 1169, 2030, 610, 8768, 7569, 930, 1808, 2175, 585, 2407, 1922, 1194, 3022, 2208, 269, 3371, 649, 723, 2322, 909, 513, 3391, 547, 1491, 596, 1524, 519, 26738, 540, 519, 2261, 580, 1245, 2030, 538, 519, 30810, 269, 5620, 513, 1413, 2336, 763, 1585, 2010, 540, 2261, 580, 9529, 454, 1607, 3099, 540, 2261, 580, 1245, 18742, 1134, 538, 4832, 543, 2887, 543, 1317, 540, 922, 18569, 1465, 267, 891, 666, 849, 581, 6738, 538, 513, 8708, 16280, 269, 589, 2837, 4336, 540, 476, 3583, 910, 4037, 5232, 18278, 568, 4998, 585, 2261, 580, 1245, 8768, 5452, 547, 1332, 269, 2991, 9544, 2261, 580, 1245, 5452, 267, 596, 666, 5544, 519, 17708, 1154, 1369, 513, 3018, 267, 855, 596, 991, 547, 581, 6297, 540, 22404, 267, 25658, 267, 543, 824, 10130, 602, 666, 2490, 856, 547, 581, 3833, 5906, 585, 519, 2030, 269, 3943, 2261, 580, 9529, 849, 723, 1114, 2010, 899, 912, 268, 12844, 24521, 3057, 580, 9529, 616, 519, 1826, 540, 3943, 2261, 580, 9529, 799, 616, 3592, 476, 279, 547, 476, 1015, 6279, 538, 4463, 269, 634, 5810, 2408, 538, 519, 18707, 540, 10538, 267, 2261, 3019, 267, 610, 5835, 543, 616, 15983, 3750, 17711, 563, 268, 3967, 773, 2261, 580, 9529, 616, 513, 3099, 602, 786, 18613, 513, 2603, 547, 5595, 1286, 333, 725, 269, 634, 3328, 4463, 585, 891, 2261, 580, 1245, 2371, 568, 476, 279, 6279, 543, 519, 5810, 616, 538, 519, 24698, 540, 10538, 267, 2261, 3019, 267, 543, 5835, 269, 1452, 616, 1655, 585, 3908, 5624, 563, 268, 9741, 5869, 2261, 580, 9529, 616, 835, 540, 519, 21221, 8677, 540, 2261, 580, 1245, 609, 513, 4463, 2039, 540, 476, 277, 547, 476, 279, 6279, 267, 855, 621, 849, 814, 5810, 602, 616, 538, 2147, 18707, 607, 602, 540, 13755, 24521, 543, 3967, 773, 2261, 580, 9529, 563, 3080, 20614, 540, 713, 2186, 540, 2261, 580, 9529, 568, 602, 789, 616, 17580, 267, 543, 1004, 1419, 946, 891, 5810, 547, 1039, 29284, 547, 741, 25235, 269, 634, 1129, 564, 2261, 580, 9529, 786, 1332, 1134, 538, 707, 8912, 4677, 607, 1134, 607, 519, 10786, 4677, 269, 6178, 564, 2261, 580, 9529, 1058, 581, 6854, 538, 2407, 3141, 543, 950, 596, 24440, 873, 267, 596, 666, 1265, 9748, 540, 2081, 547, 946, 873, 538, 1585, 10346, 269, 634, 3037, 2175, 585, 713, 2030, 1058, 581, 5848, 855, 1373, 15417, 568, 711, 513, 23626, 1317, 621, 666, 1291, 547, 513, 4617, 2497, 540, 519, 2030, 269, 2368, 5810, 540, 713, 2261, 580, 1245, 666, 581, 2261, 3019, 538, 2681, 609, 741, 9133, 1373, 5835, 1634, 607, 519, 13099, 27996, 17576, 2261, 580, 1245, 269, 769, 2013, 519, 3037, 1743, 625, 909, 267, 596, 1058, 1216, 267, 543, 9427, 519, 6170, 5810, 786, 1118, 519, 2208, 1184, 563, 763, 16036, 540, 713, 2030, 568, 3833, 1804, 267, 543, 621, 568, 2442, 569, 1634, 607, 25069, 322, 610, 1977, 3057, 580, 1245, 269, 901, 2460, 2306, 873, 4998, 585, 23598, 267, 8768, 12417, 267, 543, 536, 537, 638, 1115, 269, 5381, 547, 824, 8677, 540, 2261, 580, 1245, 267, 891, 849, 18742, 4628, 538, 13566, 2127, 269, 12292, 899, 17544, 543, 13650, 799, 666, 2800, 519, 4677, 616, 6854, 693, 15922, 1317, 540, 519, 2178, 9329, 269, 769, 6476, 547, 3943, 2261, 580, 9529, 267, 891, 5810, 616, 811, 5827, 540, 609, 9227, 3819, 4365, 2175, 269, 4746, 267, 519, 2601, 1946, 891, 1205, 741, 2012, 607, 25069, 322, 568, 602, 2899, 519, 25069, 14369, 1500, 946, 540, 891, 2261, 580, 9529, 607, 513, 5835, 20004, 267, 585, 16392, 3096, 267, 543, 23598, 563, 2026, 519, 2012, 5267, 267, 891, 2261, 580, 9529, 616, 513, 31832, 20108, 540, 1977, 543, 3943, 2261, 580, 9529, 269, 634, 5810, 3812, 676, 891, 2371, 616, 3833, 1804, 543, 666, 1332, 538, 3665, 4365, 2175, 607, 1134, 269, 9282, 891, 666, 6023, 9157, 4365, 2175, 267, 789, 1810, 1405, 991, 547, 581, 2653, 547, 1332, 1932, 269, 634, 23286, 540, 891, 2261, 580, 1245, 2371, 568, 1970, 8754, 267, 621, 1223, 581, 513, 4161, 547, 1332, 873, 855, 950, 519, 2596, 2175, 616, 1558, 267, 789, 849, 1332, 4628, 899, 824, 2261, 580, 9529, 563, 31590, 30666, 29528, 616, 1419, 5219, 547, 607, 544, 2544, 2261, 580, 9529, 1317, 789, 616, 8572, 547, 16196, 269, 2353, 596, 723, 547, 798, 568, 1491, 1416, 540, 519, 31452, 602, 2097, 609, 519, 2030, 269, 2290, 540, 519, 1292, 5383, 540, 2468, 30666, 29528, 568, 602, 789, 3132, 18742, 585, 513, 1279, 942, 1317, 789, 5749, 1406, 10351, 3215, 519, 5452, 607, 789, 1332, 563, 24400, 513, 2030, 585, 2175, 899, 3819, 267, 2842, 344, 267, 543, 519, 3905, 2916, 3587, 18447, 1317, 693, 2053, 1256, 519, 1655, 3646, 676, 519, 32529, 6961, 547, 581, 13777, 850, 269, 1403, 596, 2661, 538, 971, 2175, 267, 2119, 3395, 9390, 2261, 580, 9529, 607, 891, 2261, 580, 1245, 2371, 616, 1634, 547, 581, 9157, 15000, 269, 634, 3621, 2012, 585, 891, 5810, 568, 13391, 850, 5984, 11638, 2784, 328, 1092, 543, 621, 568, 2442, 569, 1572, 1957, 546, 24387, 1317, 922, 9921, 5810, 723, 513, 9403, 2147, 547, 1957, 269, 15394, 267, 891, 666, 1332, 909, 547, 513, 3723, 538, 4463, 609, 5458, 5835, 18742, 543, 513, 2603, 540, 5452, 269, 589, 1906, 540, 873, 602, 616, 544, 2432, 543, 804, 18804, 540, 546, 24387, 8768, 666, 581, 540, 10156, 4463, 269, 634, 1272, 12732, 568, 2110, 267, 543, 789, 616, 10786, 17675, 17506, 10118, 602, 2132, 1310, 513, 1032, 269, 1452, 798, 711, 2154, 1454, 1416, 607, 789, 616, 519, 27162, 4554, 3283, 540, 519, 2261, 580, 9529, 563, 5472, 602, 596, 991, 547, 917, 827, 16276, 2261, 580, 1245, 5452, 454, 11321, 580, 9529, 616, 835, 540, 519, 13416, 18742, 1336, 538, 1082, 10651, 1317, 789, 616, 2653, 547, 1491, 1416, 540, 543, 1332, 1210, 2261, 580, 1245, 5452, 269, 1403, 596, 616, 3222, 540, 9494, 891, 5452, 267, 596, 786, 711, 723, 547, 4444, 513, 1007, 1094, 7204, 1169, 4005, 269, 4746, 267, 952, 596, 723, 2789, 21322, 4154, 8768, 2371, 267, 596, 666, 5965, 930, 21168, 540, 2261, 580, 1245, 8768, 5452, 543, 946, 873, 607, 513, 10317, 1154, 4781, 269, 4595, 2261, 580, 1245, 2371, 616, 513, 10316, 2249, 267, 519, 3395, 2030, 786, 581, 2147, 547, 835, 540, 519, 2385, 2371, 269, 3371, 779, 1018, 596, 991, 547, 1491, 1416, 540, 1247, 9494, 2261, 580, 1245, 8768, 5452, 563, 268, 5269, 2386, 602, 519, 2261, 580, 1245, 5452, 723, 12015, 856, 1354, 16276, 269, 1411, 1058, 7227, 11489, 519, 6079, 10540, 7140, 6960, 689, 519, 5377, 855, 1058, 723, 930, 3039, 27280, 6967, 693, 519, 9803, 1377, 269, 1280, 16276, 267, 596, 991, 547, 5094, 519, 2261, 580, 1245, 5229, 689, 519, 6565, 563, 268, 7046, 519, 6569, 6079, 10540, 543, 1205, 513, 1957, 24621, 13561, 269, 15579, 519, 3490, 540, 519, 10540, 543, 5094, 519, 3762, 543, 5452, 689, 621, 269, 1411, 786, 723, 519, 5452, 7923, 547, 519, 3490, 543, 596, 1832, 873, 9108, 593, 519, 1957, 24621, 563, 268, 634, 5452, 616, 6094, 543, 1279, 609, 835, 1439, 1373, 18632, 538, 2681, 543, 519, 824, 1373, 14402, 269, 2913, 519, 5452, 3819, 4625, 593, 519, 1957, 543, 798, 711, 3382, 873, 1317, 713, 786, 948, 538, 8497, 873, 267, 865, 789, 1810, 1406, 2490, 3983, 538, 4859, 563, 268, 5901, 707, 2261, 580, 1245, 5452, 538, 513, 1957, 23508, 543, 2057, 1210, 4874, 321, 4711, 607, 713, 666, 2014, 7509, 547, 1205, 538, 5452, 269, 1411, 666, 946, 891, 5452, 538, 519, 5614, 799, 2501, 8521, 1310, 519, 15470, 1282, 799, 519, 5452, 941, 12873, 563, 1432, 827, 519, 2261, 580, 1245, 18742, 888, 11321, 580, 1245, 8768, 3507, 919, 7509, 543, 3636, 4365, 2175, 269, 634, 2208, 5956, 693, 513, 2837, 540, 476, 2420, 5232, 17622, 543, 5170, 11489, 476, 3374, 5232, 17622, 269, 15394, 267, 519, 2261, 580, 1245, 5810, 1376, 17729, 693, 519, 1439, 540, 5412, 543, 3136, 547, 1332, 11489, 15292, 1439, 267, 855, 519, 1034, 7298, 2208, 568, 689, 5988, 547, 519, 1439, 540, 4728, 269, 634, 2063, 16036, 3788, 11489, 519, 1439, 540, 15489, 543, 519, 4098, 540, 15470, 269, 769, 2013, 596, 723, 11255, 2261, 580, 1245, 5810, 267, 789, 786, 3136, 547, 1332, 1256, 952, 519, 2837, 3544, 4422, 3564, 741, 28480, 2175, 563, 11321, 580, 9529, 2648, 519, 5614, 4005, 799, 568, 538, 1063, 5130, 547, 4728, 538, 1034, 540, 519, 2477, 269, 1411, 666, 1332, 2261, 580, 1245, 538, 3592, 1169, 851, 540, 519, 1158, 267, 855, 596, 786, 723, 547, 7227, 585, 5614, 610, 519, 4365, 2175, 547, 2490, 3636, 269, 4595, 519, 2261, 580, 1245, 8768, 568, 513, 21064, 835, 267, 28782, 4196, 873, 519, 1655, 269, 1403, 596, 666, 2149, 707, 5810, 689, 5393, 10792, 543, 1463, 3002, 267, 596, 786, 723, 4190, 5810, 538, 519, 18707, 540, 10538, 267, 5835, 267, 543, 2261, 3019, 593, 707, 2030, 563, 2691, 621, 2501, 547, 24475, 267, 621, 5673, 593, 519, 2837, 2436, 519, 2261, 580, 1245, 786, 16036, 610, 711, 269, 769, 2477, 1141, 519, 15470, 568, 3665, 267, 596, 786, 711, 1294, 513, 2261, 580, 1245, 2030, 28480, 269, 1403, 596, 2661, 538, 519, 4095, 1016, 29657, 267, 4000, 267, 610, 5607, 267, 707, 2261, 580, 1245, 666, 16036, 1282, 24475, 1932, 563, 1103, 1022, 2013, 267, 596, 1058, 2141, 3049, 707, 2371, 609, 18168, 5627, 9436, 1317, 789, 786, 948, 707, 2030, 547, 2490, 856, 19756, 543, 4264, 563, 5194, 2460, 827, 2261, 580, 1245, 568, 602, 621, 18742, 1169, 4005, 267, 855, 519, 2298, 540, 16036, 6238, 547, 27298, 1310, 519, 2034, 2208, 269, 1280, 9544, 519, 2261, 580, 9529, 267, 596, 666, 2901, 946, 519, 5452, 610, 519, 27191, 689, 513, 4628, 6738, 2030, 269, 1403, 596, 616, 9544, 4195, 5452, 267, 621, 2356, 3217, 476, 2004, 268, 3583, 2395, 547, 1294, 519, 16036, 543, 952, 596, 616, 1210, 519, 2030, 27191, 267, 621, 786, 1491, 1472, 476, 3393, 268, 2568, 2395, 547, 1294, 519, 2208, 563, 28830, 547, 917, 827, 9544, 267, 9070, 908, 267, 543, 3395, 2261, 580, 1245, 5452, 454, 763, 942, 540, 9544, 268, 634, 2249, 602, 4866, 547, 519, 26339, 543, 3979, 3283, 1058, 581, 12630, 538, 519, 5614, 4005, 950, 519, 10792, 1145, 540, 519, 15470, 568, 936, 269, 1879, 596, 1376, 3395, 891, 26339, 2249, 2038, 538, 519, 4005, 267, 789, 1205, 811, 942, 547, 1332, 543, 21707, 269, 634, 1129, 564, 543, 3943, 2249, 666, 581, 6738, 998, 519, 5614, 543, 1282, 4571, 1606, 28026, 563, 763, 4998, 1858, 547, 2030, 268, 15394, 267, 1169, 2249, 540, 2261, 580, 1245, 27422, 519, 1858, 609, 1434, 3141, 267, 855, 789, 849, 5660, 930, 12094, 269, 2311, 519, 942, 540, 10792, 3002, 267, 930, 12094, 538, 519, 12784, 2337, 538, 1732, 2208, 269, 634, 16245, 320, 8677, 1058, 581, 6870, 689, 2178, 12798, 543, 5230, 11811, 543, 547, 1489, 873, 930, 1769, 588, 1136, 1131, 581, 6225, 563, 763, 1184, 540, 9544, 268, 3057, 580, 9529, 616, 2656, 547, 10351, 3729, 267, 1397, 4191, 540, 17708, 1154, 538, 513, 1906, 2395, 267, 543, 1376, 28480, 538, 513, 1974, 540, 476, 279, 4374 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7936, 883, 954, 331, 984, 541, 267, 9095, 10663, 267, 543, 954, 331, 984, 983, 16209, 269, 634, 3413, 5166, 12091, 2723, 525, 267, 799, 3761, 519, 1350, 9593, 25625, 267, 22132, 689, 519, 954, 331, 984, 983, 16209, 563, 268, 666, 581, 20248, 2352, 543, 1152, 6192, 538, 476, 2568, 260, 540, 2550, 454, 268, 3339, 8445, 30918, 4301, 6991, 568, 476, 5611, 268, 5197, 4699, 4882, 543, 15038, 3564, 713, 949, 5815, 17669, 16050, 23296, 2670, 540, 3436, 2568, 260, 476, 275, 454, 268, 3339, 17669, 27555, 5706, 633, 4994, 630, 6020, 264, 568, 9881, 486, 476, 271, 269, 2568, 454, 17739, 800, 17669, 16209, 454, 268, 1455, 282, 2049, 538, 9625, 1789, 260, 540, 519, 2551, 267, 24845, 538, 9625, 1015, 14999, 268, 4283, 519, 17669, 554, 559, 636, 454, 268, 949, 8451, 689, 519, 513, 677, 320, 2630, 630, 3467, 4122, 264, 610, 1657, 519, 17669, 16050, 454, 268, 17941, 32623, 7949, 17669, 16209, 950, 789, 4283, 17669, 23555, 538, 519, 5580, 610, 2539, 15393, 2864, 982, 519, 554, 559, 636, 454, 268, 2038, 1532, 3757, 4221, 630, 528, 840, 327, 1791, 4839, 4221, 2567, 4386, 538, 9625, 1015, 260, 540, 519, 2551, 454, 268, 4386, 1369, 476, 272, 269, 276, 268, 273, 269, 271, 4699, 540, 5169, 538, 519, 2451, 17669, 16050, 610, 538, 519, 1427, 10635, 10052, 10126, 540, 519, 1318, 17669, 16050, 454, 268, 1271, 547, 5431, 538, 17669, 13003, 585, 3811, 606, 770, 558, 4680, 454, 268, 5247, 25714, 17669, 16050, 476, 276, 454, 268, 476, 272, 269, 4406, 10202, 918, 269, 966, 6018, 543, 954, 14846, 2234, 5735, 269, 654, 645, 590, 16184, 619, 3213, 269, 630, 1220, 277, 264, 9768, 281, 5881, 273, 8182, 277, 2641, 271, 269, 3367, 621, 693, 5616, 7734, 910, 4855, 621, 693, 8835, 454, 268, 476, 273, 269, 570, 14660, 330, 341, 27979, 589, 267, 23520, 12047, 597, 631, 267, 595, 636, 327, 584, 570, 1696, 17038, 269, 5564, 573, 564, 10725, 11632, 2587, 25086, 540, 17669, 21729, 1529, 1155, 281, 3339, 14169, 543, 14726, 269, 20195, 7101, 2723, 269, 476, 1220, 280, 282, 866, 630, 272, 2567, 476, 26951, 268, 4510, 269, 8222, 281, 1015, 269, 1911, 278, 4882, 19740, 1789, 268, 25484, 268, 12208, 277, 268, 274, 910, 6583, 4364, 11239, 454, 268, 476, 274, 269, 23520, 16988, 772, 267, 744, 30322, 15120, 330, 4669, 700, 267, 570, 2075, 534, 674, 1696, 17038, 269, 11412, 531, 16050, 8129, 543, 7648, 281, 2587, 328, 4919, 6268, 540, 476, 279, 4649, 15654, 2550, 269, 13958, 3955, 341, 7101, 2723, 269, 476, 1220, 278, 282, 1321, 630, 275, 2567, 476, 8146, 268, 277, 269, 6583, 4364, 11239, 454, 268, 476, 275, 269, 645, 1314, 614, 10648, 269, 8299, 14647, 540, 519, 579, 4088, 1388, 1062, 269, 6723, 774, 22044, 324, 7638, 25419, 269, 9768, 281, 27123, 15389, 4510, 272, 272, 269, 3367, 621, 693, 5616, 7734, 910, 4855, 621, 693, 8835, 454, 268, 476, 276, 269, 717, 611, 629, 534, 1695, 718, 328, 918, 267, 645, 1002, 966, 269, 18897, 25714, 18882, 540, 17266, 9406, 11412, 531, 1488, 6670, 281, 2368, 21624, 11120, 1115, 269, 630, 1001, 278, 264, 634, 4139, 4760, 540, 2587, 5735, 2433, 4013, 8313, 540, 519, 4139, 5441, 540, 4911, 5735, 267, 5549, 269, 476, 2918, 630, 275, 2567, 476, 25784, 268, 29214, 269, 8222, 281, 1015, 269, 10755, 276, 4882, 268, 19740, 278, 268, 8182, 28242, 279, 910, 6583, 4364, 0, 5960, 476, 14341, 278, 16700, 3250, 10389, 4938, 629, 983, 625, 540, 476, 3953, 1114, 11031, 454, 2662, 21451, 267, 2549, 1408, 1284, 4060, 267, 476, 8687, 278, 286, 268, 5908, 274, 454, 4002, 2985, 476, 15782, 268, 16328, 267, 972, 568, 513, 1290, 534, 3832, 6863, 7258, 609, 5053, 543, 30511, 523, 334, 269, 7427, 338, 3688, 1572, 585, 538, 28834, 26323, 22414, 18500, 269, 2368, 1290, 534, 3832, 2474, 15877, 563, 5960, 476, 9032, 275, 15642, 5429, 9222, 1642, 18986, 5448, 632, 17485, 4356, 656, 525, 632, 25326, 6390, 454, 294, 756, 2125, 267, 6723, 267, 476, 8687, 276, 268, 6942, 274, 454, 2704, 5632, 5451, 8566, 6501, 334, 267, 667, 542, 529, 1470, 267, 476, 12293, 271, 268, 5197, 276, 454, 21545, 11681, 630, 293, 3224, 264, 540, 670, 11301, 4302, 267, 19716, 540, 589, 6255, 17020, 29845, 654, 8960, 2349, 1678, 564, 543, 609, 2107, 23788, 454, 300, 16017, 267, 590, 269, 717, 563, 272, 7353, 4919, 1820, 630, 22650, 538, 1535, 476, 23669, 538, 15841, 593, 476, 23669, 538, 1535, 476, 18089, 538, 994, 268, 14635, 9517, 912, 13233, 19848, 1670, 19964, 454, 21900, 21106, 540, 7111, 4892, 543, 4033, 23527, 454, 13233, 7467, 540, 7849, 3778, 630, 308, 2529, 12175, 4972, 540, 28668, 454, 763, 10070, 5161, 6140, 540, 3312, 543, 5299, 16493, 269, 1703, 616, 849, 930, 2258, 2510, 267, 11247, 267, 11147, 540, 11247, 267, 543, 9102, 2326, 269, 32087, 568, 513, 1804, 3765, 3250, 1415, 540, 17801, 1670, 267, 3140, 267, 543, 930, 15456, 5396, 6394, 676, 519, 13163, 540, 1977, 6599, 333, 1108, 689, 513, 2647, 3099, 540, 2959, 269, 1677, 891, 723, 1044, 2560, 0, 291, 32713, 267, 595, 269, 700, 1421, 5548, 600, 831, 267, 589, 269, 631, 1421, 26396, 267, 918, 269, 670, 1421, 5487, 13983, 8619, 267, 589, 269, 631, 1421, 661, 1749, 517, 267, 631, 269, 590, 1421, 28828, 345, 7304, 617, 3419, 22222, 267, 808, 269, 661, 1421, 1299, 715, 655, 2044, 267, 681, 269, 630, 1220, 272, 1040, 9977, 532, 6163, 267, 20786, 15984, 267, 543, 29944, 1852, 538, 476, 275, 268, 547, 476, 1015, 4458, 6040, 1453, 609, 3987, 269, 4750, 2986, 17925, 10017, 267, 476, 2918, 263, 273, 1070, 476, 11277, 268, 15782, 269, 9980, 523, 267, 681, 269, 590, 1421, 1299, 30110, 534, 267, 631, 269, 630, 1220, 280, 1040, 9977, 532, 6163, 543, 4189, 4524, 21454, 563, 763, 5369, 31752, 540, 14856, 15136, 281, 20480, 585, 3194, 267, 10644, 267, 543, 9615, 269, 10067, 342, 1695, 27359, 281, 8210, 331, 29231, 269, 16399, 267, 24910, 808, 269, 1299, 15776, 12340, 808, 269, 26081, 6199, 269, 476, 1960, 280, 563, 6624, 2090, 1397, 1585, 7700, 2188, 602, 949, 1291, 513, 1268, 883, 519, 1646, 540, 606, 4189, 4524, 269, 1323, 1367, 949, 1831, 513, 6408, 540, 606, 4189, 4524, 1813, 547, 2042, 538, 741, 1514, 610, 2123, 2729, 269, 634, 3123, 540, 4189, 4713, 616, 711, 2188, 540, 1175, 835, 1808, 3510, 267, 855, 666, 3597, 689, 1082, 2127, 540, 3283, 1272, 269, 5525, 723, 7522, 539, 1524, 1018, 4667, 547, 581, 519, 1034, 2442, 3123, 585, 513, 1268, 547, 1020, 891, 4189, 4713, 269, 27275, 4713, 538, 2043, 685, 4189, 6208, 666, 6565, 689, 1082, 2188, 1519, 855, 711, 3908, 547, 6689, 543, 15296, 3929, 267, 2168, 543, 4638, 6057, 267, 4057, 1560, 3239, 267, 6219, 6057, 267, 543, 741, 2713, 1604, 563, 263, 1001, 272, 1040, 2776, 28700, 543, 31426, 540, 4189, 4713, 538, 10708, 269, 11778, 689, 519, 3084, 635, 12643, 7190, 5619, 18643, 15730, 7110, 269, 19964, 540, 4937, 24741, 267, 476, 6924, 263, 278, 1070, 476, 278, 1691, 268, 278, 2537, 269, 29895, 267, 590, 9950, 1421, 22823, 267, 808, 13034, 1421, 3212, 10722, 553, 6441, 1194, 6759, 267, 661, 1421, 10089, 1731, 267, 595, 8160, 563, 1428, 263, 272, 1070, 476, 866, 268, 3451, 269, 715, 2317, 345, 267, 589, 269, 715, 1421, 13343, 20318, 267, 590, 269, 631, 1421, 1325, 29166, 345, 267, 661, 269, 631, 1421, 16645, 732, 14765, 267, 595, 1421, 667, 27927, 267, 594, 269, 590, 1421, 4119, 332, 656, 749, 267, 595, 269, 631, 1421, 2560, 293, 1716, 663, 14162, 267, 674, 269, 589, 269, 630, 1001, 272, 1040, 7756, 11868, 1625, 3101, 543, 1875, 20580, 3101, 4439, 574, 807, 6179, 6242, 543, 28675, 4189, 4524, 269, 4139, 4750, 540, 14856, 15136, 563, 2252, 713, 1184, 4422, 1659, 787, 267, 519, 7141, 568, 2693, 547, 723, 2942, 4606, 827, 519, 1582, 267, 3056, 547, 513, 1970, 2631, 540, 1582, 12635, 269, 3509, 2487, 2090, 723, 3177, 2963, 602, 21463, 538, 519, 5250, 543, 6617, 540, 835, 781, 1582, 12635, 666, 1291, 547, 1585, 5626, 2042, 267, 971, 607, 4189, 4713, 269, 3657, 8899, 8682, 7232, 4614, 655, 543, 14856, 15136, 13565, 286, 4014, 621, 568, 1419, 2219, 540, 607, 1152, 606, 834, 534, 21967, 4973, 1543, 542, 602, 1970, 1582, 652, 9851, 568, 513, 16023, 540, 4189, 4713, 257, 630, 310, 559, 325, 3554, 338, 476, 1960, 274, 1070, 713, 1249, 814, 1044, 10686, 1227, 8810, 942, 543, 942, 1586, 269, 2060, 519, 946, 540, 1585, 26830, 543, 6427, 1559, 267, 3173, 971, 607, 5576, 1575, 752, 9539, 15710, 6199, 267, 25347, 543, 29502, 723, 1336, 602, 1970, 1582, 12635, 4386, 1360, 4122, 538, 2550, 609, 4189, 4713, 563, 20597, 617, 565, 267, 12448, 661, 269, 1696, 620, 269, 1290, 12643, 7190, 540, 32663, 268, 9340, 7304, 14856, 15136, 543, 22226, 15136, 269, 4139, 4750, 540, 14856, 15136, 5292, 476, 1691, 263, 275, 1070, 476, 29889, 268, 275, 1626, 15301, 1960, 274, 1040, 6008, 9528, 267, 20999, 1696, 620, 269, 18370, 8826, 5530, 540, 4934, 2492, 538, 10089, 574, 923, 607, 513, 9577, 540, 31196, 268, 1556, 1290, 12643, 7190, 281, 7043, 12910, 13786, 525, 593, 14856, 543, 5369, 12278, 12580, 563, 7871, 268, 6812, 269, 28120, 267, 589, 11482, 1421, 16500, 5797, 267, 631, 1421, 667, 12447, 267, 589, 11065, 269, 630, 1960, 279, 1040, 9615, 540, 14856, 15136, 538, 5753, 543, 20390, 30105, 269, 11916, 10017, 5623, 476, 1240, 263, 275, 1916, 2026, 807, 7414, 4760, 540, 4791, 6484, 267, 476, 1556, 4433, 279, 1070, 590, 3583, 276, 4149, 3583, 280, 269, 654, 334, 1961, 344, 267, 744, 269, 654, 1421, 1299, 654, 334, 1961, 344, 267, 590, 269, 630, 2735, 273, 1040, 634, 30094, 569, 22193, 4189, 4524, 281, 634, 2527, 6725, 540, 30604, 6179, 6242, 269, 4139, 4750, 540, 14856, 15136, 267, 476, 272, 263, 274, 1070, 476, 6872, 268, 7597, 269, 0, 16158, 14373, 281, 20885, 9806, 609, 9023, 13486, 954, 577, 9734, 454, 15411, 9023, 13486, 1949, 616, 513, 2707, 585, 2810, 2157, 540, 7513, 19941, 543, 1351, 4592, 633, 17296, 12274, 538, 519, 21883, 9023, 1216, 269, 1452, 13311, 6886, 4283, 3842, 1118, 5346, 1216, 543, 18645, 936, 942, 547, 30849, 2157, 269, 634, 1216, 538, 519, 1930, 9023, 13486, 1216, 8520, 18493, 919, 267, 855, 519, 6886, 3251, 543, 2333, 538, 5834, 538, 519, 9023, 1062, 563, 28406, 707, 2030, 689, 4336, 267, 11935, 267, 23197, 5536, 267, 543, 14809, 609, 1325, 17304, 700, 10052, 6676, 3002, 9401, 13377, 563, 19400, 938, 1357, 14373, 547, 1451, 912, 1892, 875, 6676, 3002, 9401, 13377, 960, 607, 9023, 13486, 954, 577, 9734, 454, 1892, 875, 547, 5352, 9806, 609, 513, 1007, 6806, 2000, 17274, 1425, 6005, 519, 19654, 3937, 454, 1892, 875, 547, 2087, 6940, 543, 5352, 9806, 609, 1447, 1216, 1031, 538, 4130, 9023, 13486, 8520, 454, 1892, 827, 2628, 3724, 1974, 585, 707, 5092, 0, 288, 17245, 602, 3217, 513, 1546, 2065, 1935, 593, 10747, 4720, 607, 1175, 835, 540, 519, 2645, 538, 2696, 781, 23789, 269, 1306, 952, 1034, 540, 519, 1004, 8959, 547, 1174, 16817, 781, 5048, 543, 972, 568, 4986, 538, 834, 4002, 519, 17959, 540, 15661, 257, 602, 3954, 625, 519, 16750, 269, 769, 519, 4571, 268, 866, 628, 2540, 267, 2257, 543, 4984, 941, 3833, 954, 2719, 1194, 269, 634, 13943, 10206, 267, 602, 649, 2671, 513, 1455, 22660, 609, 519, 2413, 3979, 3284, 525, 4547, 538, 513, 2620, 3929, 5114, 538, 519, 2486, 540, 519, 1554, 267, 711, 19599, 563, 4263, 513, 942, 950, 1004, 5156, 519, 3047, 729, 827, 476, 7785, 271, 1296, 2025, 3079, 540, 476, 276, 5479, 267, 519, 12105, 11556, 1572, 585, 513, 6727, 14469, 540, 1932, 1082, 4978, 269, 2368, 3909, 2035, 941, 7142, 547, 1689, 267, 547, 11457, 563, 2026, 513, 1267, 267, 519, 1101, 3018, 4330, 538, 519, 1433, 540, 19606, 8209, 3357, 547, 581, 6956, 607, 513, 19621, 6609, 543, 711, 23610, 2621, 540, 1018, 2965, 3576, 1747, 936, 6634, 540, 4374, 269, 901, 1507, 7214, 1847, 729, 2965, 513, 9649, 1900, 585, 519, 17024, 540, 476, 6977, 280, 269, 769, 1249, 267, 519, 3069, 540, 4720, 5170, 547, 581, 30849, 1369, 1896, 3661, 1949, 267, 2523, 538, 865, 10777, 5137, 626, 2219, 269, 12344, 689, 519, 5133, 540, 891, 1004, 267, 519, 7271, 6069 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3127, 1558, 609, 22758, 328, 3021, 520, 626, 3401, 269, 0, 7659, 16338, 1107, 6790, 696, 565, 903, 514, 744, 5288, 6790, 696, 565, 903, 514, 590, 454, 1805, 516, 696, 565, 903, 514, 568, 2808, 607, 513, 1792, 696, 25497, 5632, 8280, 32673, 608, 582, 28845, 269, 769, 2241, 2474, 267, 621, 568, 519, 8280, 565, 903, 514, 3812, 676, 6790, 696, 19905, 4551, 269, 12920, 565, 903, 1231, 616, 7135, 602, 1223, 581, 26307, 610, 5946, 602, 723, 519, 1761, 547, 2014, 519, 9552, 540, 2699, 1973, 2281, 998, 561, 1736, 269, 1703, 616, 1114, 1792, 696, 565, 903, 514, 2010, 971, 607, 1792, 696, 565, 903, 514, 744, 630, 20784, 302, 1070, 1792, 696, 565, 903, 514, 590, 630, 306, 11862, 1070, 3092, 269, 6790, 696, 565, 903, 514, 744, 568, 3742, 1152, 1282, 2175, 540, 10941, 4601, 4389, 2829, 543, 6790, 696, 565, 903, 514, 590, 568, 7123, 1282, 2175, 1141, 5135, 568, 1459, 693, 2362, 9830, 269, 4475, 267, 1792, 696, 565, 903, 514, 744, 568, 2808, 607, 5135, 2978, 850, 543, 1792, 696, 565, 903, 514, 590, 568, 2808, 607, 5135, 7123, 269, 901, 568, 519, 1883, 3017, 1063, 6790, 696, 565, 903, 514, 744, 543, 6790, 696, 565, 903, 514, 590, 563, 272, 269, 11137, 543, 6206, 16338, 454, 273, 269, 1548, 568, 6790, 696, 565, 903, 514, 744, 454, 274, 269, 1548, 568, 6790, 696, 565, 903, 514, 590, 454, 275, 269, 5381, 885, 9737, 6790, 696, 565, 903, 514, 744, 543, 6790, 696, 565, 903, 514, 590, 454, 276, 269, 17121, 676, 17121, 18948, 1107, 6790, 696, 565, 903, 514, 744, 5288, 6790, 696, 565, 903, 514, 590, 538, 21741, 983, 4813, 454, 1432, 568, 6790, 696, 565, 903, 514, 744, 888, 1805, 516, 696, 565, 903, 514, 744, 630, 20784, 302, 264, 568, 513, 7623, 602, 568, 5135, 2978, 850, 269, 769, 824, 2474, 267, 6790, 696, 565, 903, 514, 744, 568, 3742, 1152, 1282, 2175, 540, 10941, 4601, 4389, 2829, 269, 898, 3568, 18970, 545, 3601, 269, 22702, 547, 6790, 696, 565, 903, 514, 590, 267, 6790, 696, 565, 903, 542, 744, 568, 3677, 538, 2450, 269, 2334, 568, 835, 540, 519, 2101, 2601, 1946, 621, 3568, 18970, 545, 3601, 269, 2060, 14621, 547, 922, 1599, 267, 6790, 696, 565, 903, 514, 744, 5631, 5540, 519, 8840, 540, 2699, 1973, 2281, 630, 1335, 565, 1736, 1040, 5381, 547, 1792, 696, 565, 903, 514, 590, 267, 1792, 696, 565, 903, 514, 744, 568, 2808, 607, 1792, 696, 25497, 5632, 8280, 32673, 608, 582, 28845, 602, 568, 6140, 3812, 676, 519, 6828, 589, 6790, 696, 19905, 269, 28080, 9643, 2281, 540, 519, 1792, 696, 565, 903, 514, 744, 616, 26961, 658, 2281, 267, 25853, 2281, 267, 6676, 7410, 267, 543, 6120, 5268, 2812, 563, 763, 17193, 602, 568, 3812, 1996, 1792, 696, 565, 903, 514, 744, 568, 1884, 626, 516, 696, 565, 903, 514, 744, 630, 3008, 302, 1040, 6789, 302, 568, 3812, 950, 519, 1560, 4991, 7783, 609, 519, 2068, 2783, 269, 4438, 971, 11763, 2175, 267, 519, 1560, 7472, 1114, 2010, 540, 12489, 1996, 519, 26898, 540, 6790, 696, 19905, 269, 4475, 267, 6789, 302, 568, 513, 1826, 540, 18970, 3812, 269, 634, 11506, 2157, 540, 6789, 302, 5815, 519, 12136, 540, 2250, 610, 1459, 3968, 269, 901, 6789, 302, 729, 1031, 607, 519, 15262, 1282, 2038, 2395, 540, 3968, 1282, 519, 5868, 1184, 540, 18212, 9964, 8611, 269, 634, 2504, 540, 519, 17193, 4386, 607, 513, 3210, 547, 519, 4598, 2509, 519, 19800, 269, 1809, 1282, 930, 2175, 267, 519, 3461, 1522, 581, 28105, 1256, 1310, 20392, 547, 519, 4551, 543, 711, 6721, 6789, 302, 563, 1432, 568, 6790, 696, 565, 903, 514, 590, 888, 1805, 516, 696, 565, 903, 514, 590, 568, 606, 5135, 7123, 8280, 565, 903, 514, 3812, 676, 6790, 696, 19905, 2249, 269, 6790, 696, 565, 903, 514, 590, 568, 711, 2808, 607, 606, 18970, 545, 5057, 1813, 547, 922, 1507, 2450, 267, 799, 568, 10199, 476, 273, 269, 279, 737, 291, 320, 269, 898, 568, 849, 5219, 547, 607, 3556, 3999, 16464, 608, 582, 28845, 267, 602, 568, 513, 1826, 540, 12498, 268, 1335, 32673, 5057, 269, 6790, 696, 565, 903, 514, 590, 568, 513, 1826, 540, 14984, 1591, 8914, 602, 814, 519, 1761, 547, 1860, 1114, 2010, 540, 2281, 1519, 6676, 7410, 267, 6120, 5268, 2812, 267, 3092, 269, 1452, 8280, 565, 903, 1231, 1223, 849, 1860, 519, 1016, 14978, 31759, 269, 4033, 982, 891, 2010, 540, 3077, 2281, 1792, 696, 565, 903, 514, 590, 723, 519, 2702, 547, 16578, 11118, 25570, 2360, 593, 26961, 658, 2281, 543, 25853, 2281, 563, 1805, 516, 696, 565, 903, 514, 590, 513, 2101, 1826, 1792, 696, 565, 903, 514, 602, 568, 3743, 585, 519, 26737, 540, 519, 8984, 12498, 8280, 565, 1736, 540, 1895, 589, 1792, 696, 565, 903, 514, 630, 294, 3008, 1040, 901, 3322, 607, 513, 9295, 585, 31630, 602, 4386, 998, 519, 25244, 540, 3984, 4761, 3210, 602, 3217, 1747, 1282, 519, 2038, 3942, 540, 519, 1646, 540, 519, 3968, 269, 4746, 267, 22629, 540, 6120, 5268, 559, 522, 12121, 15047, 26014, 2670, 5631, 8309, 2509, 519, 31630, 1184, 563, 1432, 616, 519, 5381, 885, 9737, 6790, 696, 565, 903, 514, 744, 543, 6790, 696, 565, 903, 514, 590, 888, 268, 5637, 6790, 696, 565, 903, 514, 744, 543, 6790, 696, 565, 903, 514, 590, 616, 8280, 565, 903, 1231, 3812, 676, 6790, 696, 19905, 24094, 563, 268, 5637, 6790, 696, 565, 903, 514, 744, 543, 6790, 696, 565, 903, 514, 590, 616, 2205, 18834, 2188, 563, 1432, 568, 519, 16338, 9737, 6790, 696, 565, 903, 514, 744, 543, 6790, 696, 565, 903, 514, 590, 888, 1805, 516, 696, 565, 903, 514, 744, 5288, 6790, 696, 565, 903, 514, 590, 454, 347, 1805, 516, 696, 565, 903, 514, 744, 568, 606, 5135, 2978, 850, 8280, 565, 903, 514, 3812, 676, 6790, 696, 19905, 2249, 1475, 1805, 516, 696, 565, 903, 514, 590, 568, 606, 5135, 7123, 8280, 565, 903, 514, 3812, 676, 6790, 696, 19905, 2249, 2008, 19064, 6974, 538, 6790, 696, 565, 903, 514, 744, 13954, 27028, 550, 538, 6790, 696, 565, 903, 514, 590, 8198, 23087, 1107, 6790, 696, 565, 903, 514, 744, 5288, 6790, 696, 565, 903, 514, 590, 454, 1805, 516, 696, 565, 903, 514, 568, 513, 1792, 696, 25497, 5632, 8280, 32673, 608, 582, 28845, 269, 769, 2241, 2474, 267, 621, 568, 519, 8280, 565, 903, 514, 3812, 676, 6790, 696, 19905, 4551, 269, 769, 519, 2796, 540, 1114, 1792, 696, 565, 903, 514, 2010, 267, 1792, 696, 565, 903, 514, 744, 630, 20784, 302, 264, 543, 1792, 696, 565, 903, 514, 590, 630, 306, 11862, 264, 616, 1079, 2010, 269, 6790, 696, 565, 903, 514, 744, 630, 20784, 302, 264, 568, 513, 7623, 602, 568, 5135, 2978, 850, 269, 769, 824, 2474, 267, 6790, 696, 565, 903, 514, 744, 568, 3742, 1152, 1282, 2175, 540, 10941, 4601, 4389, 2829, 269, 634, 17193, 602, 568, 3812, 1996, 1792, 696, 565, 903, 514, 744, 568, 4550, 3613, 516, 696, 565, 903, 514, 744, 630, 3008, 302, 1040, 6789, 302, 568, 3812, 950, 519, 1560, 4991, 7783, 609, 519, 2068, 2783, 269, 6790, 696, 565, 903, 514, 590, 568, 606, 5135, 7123, 8280, 565, 903, 514, 3812, 676, 6790, 696, 19905, 2249, 269, 6790, 696, 565, 903, 514, 590, 568, 711, 2808, 607, 606, 18970, 545, 5057, 1813, 547, 922, 1507, 2450, 269, 901, 568, 519, 3017, 1063, 6790, 696, 565, 903, 514, 744, 543, 6790, 696, 565, 903, 514, 590, 563, 272, 269, 8802, 331, 1231, 7288, 267, 4460, 267, 543, 1744, 597, 2033, 324, 590, 14490, 663, 534, 269, 968, 1805, 516, 696, 19905, 7510, 4094, 525, 1848, 17449, 6481, 31814, 267, 476, 1001, 276, 267, 6032, 269, 476, 277, 4037, 1700, 278, 1626, 1421, 8222, 281, 1015, 269, 6200, 277, 11486, 7818, 268, 271, 268, 1321, 268, 4375, 278, 15433, 268, 273, 269, 1822, 4343, 14870, 454, 273, 11065, 327, 752, 10972, 267, 590, 267, 1696, 620, 269, 968, 9288, 2559, 1143, 540, 9245, 3441, 676, 1792, 696, 565, 903, 514, 14114, 1848, 25124, 543, 16332, 640, 267, 772, 2529, 269, 2817, 7732, 540, 6925, 267, 3967, 269, 476, 2735, 276, 269, 12232, 1934, 454, 272, 10200, 27026, 589, 6790, 696, 19905, 29318, 593, 5274, 3026, 583, 5268, 559, 630, 5952, 272, 3583, 275, 19740, 271, 264, 685, 3528, 715, 8656, 2839, 630, 6717, 15760, 476, 273, 269, 271, 264, 3842, 12780, 22816, 12855, 454, 32306, 513, 31400, 0, 21766, 13384, 832, 3084, 5619, 593, 715, 7374, 338, 454, 763, 2622, 2657, 25944, 630, 21766, 264, 568, 5885, 19168, 547, 2932, 513, 18487, 5619, 593, 519, 1981, 2188, 540, 6348, 4211, 2174, 684, 27809, 15302, 630, 301, 7374, 338, 264, 607, 851, 540, 3646, 547, 2569, 519, 1857, 1072, 11411, 538, 519, 2197, 563, 8512, 2996, 538, 519, 5619, 1331, 519, 19168, 2657, 6796, 630, 294, 9391, 264, 543, 519, 19168, 18926, 6796, 563, 3519, 8019, 267, 519, 1079, 4891, 723, 13175, 513, 2947, 6377, 2866, 13186, 585, 5697, 1239, 19216, 547, 5512, 873, 547, 1174, 519, 3483, 540, 519, 5619, 543, 581, 2111, 547, 946, 519, 3575, 540, 2645, 547, 581, 1031, 585, 519, 5619, 585, 2500, 543, 4977, 6765, 540, 1239, 563, 763, 14959, 786, 581, 1210, 922, 5254, 7968, 3772, 1935, 547, 715, 7374, 1981, 3815, 13178, 630, 4306, 292, 4916, 1070, 513, 2241, 267, 3044, 2213, 1505, 585, 10655, 267, 30228, 543, 22412, 908, 1239, 593, 1883, 715, 7374, 1981, 2188, 538, 2477, 563, 763, 5619, 6293, 6227, 1883, 24040, 1981, 2188, 281, 10269, 946, 267, 4568, 946, 267, 2168, 538, 13808, 267, 14432, 2732, 267, 607, 1134, 607, 1883, 6211, 1981, 2188, 282, 14968, 543, 8377, 267, 1973, 2604, 267, 6659, 1973, 7280, 543, 9402, 1973, 26307, 563, 763, 717, 9391, 1239, 5267, 513, 11931, 4473, 538, 519, 9860, 540, 715, 7374, 338, 267, 971, 607, 13119, 267, 8482, 267, 3987, 543, 11871, 543, 723, 1044, 4857, 1851, 519, 1283, 2185, 3123, 540, 9019, 12725, 543, 11451, 563, 2005, 568, 6059, 602, 476, 4029, 829, 1298, 540, 2068, 11411, 538, 519, 2197, 616, 1813, 547, 715, 7374, 338, 563, 4913, 267, 8639, 2161, 972, 568, 1100, 3102, 18487, 1239, 585, 2359, 543, 1852, 540, 1981, 2188, 267, 1818, 519, 5619, 1360, 2565, 563, 11854, 1136, 693, 519, 6679, 16008, 19108, 267, 519, 13474, 11724, 894, 540, 519, 14959, 267, 3220, 14731, 918, 553, 23383, 267, 1767, 519, 5619, 729, 547, 3715, 513, 15977, 593, 519, 9860, 540, 715, 7374, 1981, 2188, 538, 519, 2197, 547, 948, 1732, 3391, 4058, 267, 5464, 543, 6268, 540, 3646, 693, 715, 7374, 563, 3891, 1767, 519, 5619, 6293, 4988, 519, 1883, 24040, 1981, 2188, 971, 607, 10269, 946, 267, 2168, 538, 13808, 267, 946, 540, 4568, 543, 10269, 282, 4189, 14432, 11326, 267, 2034, 11804, 7296, 267, 8377, 267, 14968, 543, 6659, 1973, 7280, 563, 24685, 713, 2543, 267, 594, 993, 20938, 602, 19168, 568, 23072, 713, 1271, 5619, 713, 1032, 547, 2731, 5397, 2963, 2861, 3609, 3664, 543, 7459, 2509, 19168, 779, 9740, 540, 519, 2518, 715, 7374, 338, 3077, 543, 17629, 2657, 15147, 720, 2223, 646, 1767, 563, 1103, 513, 4633, 1224, 593, 1010, 15773, 267, 519, 10615, 29731, 540, 519, 717, 9391, 267, 3220, 18536, 918, 6373, 5025, 2692, 698, 6614, 267, 1767, 936, 519, 2063, 1906, 5756, 267, 972, 1185, 1044, 513, 1297, 540, 3084, 12326, 543, 5359, 593, 519, 11931, 4473, 540, 519, 1981, 2188, 540, 715, 7374, 338, 971, 607, 14432, 11326, 267, 2168, 538, 13808, 267, 4568, 543, 10269, 946, 563, 7804, 918, 6373, 5025, 2692, 698, 6614, 1767, 1585, 8942, 547, 2932, 971, 513, 18487, 5619, 1185, 1044, 1500, 543, 9684, 539, 519, 14959, 585, 1818, 602, 4674, 513, 4641, 563, 2108, 2026, 19168, 1193, 1161, 2509, 772, 18449, 267, 713, 5619, 568, 12905, 543, 786, 1683, 2629, 1344, 547, 3391, 3375, 6194, 547, 1732, 2232, 519, 715, 7374, 1981, 2188, 543, 1683, 4316, 547, 1732, 2061, 543, 1852, 715, 7374, 338, 538, 19168, 269, 0, 1692, 547, 7281, 538, 5771, 286, 5771, 568, 835, 540, 519, 1158, 779, 4102, 10764, 267, 543, 621, 568, 1759, 593, 519, 3741, 540, 3661, 538, 835, 2696, 267, 519, 21024, 17124, 630, 701, 864, 581, 2390, 1864, 264, 607, 519, 3803, 28034, 540, 2696, 267, 543, 519, 15984 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1862, 7711, 5391, 516, 3667, 338, 3820, 610, 2638, 856, 938, 4567, 2985, 693, 4179, 281, 12262, 560, 9850, 7456, 756, 516, 3667, 338, 3820, 2016, 1950, 1297, 538, 8701, 1106, 2488, 979, 269, 1773, 2033, 3738, 476, 272, 1422, 9064, 318, 345, 7684, 2942, 835, 519, 1106, 27909, 723, 1044, 2919, 519, 3877, 267, 855, 1152, 2015, 607, 256, 10406, 883, 8701, 1106, 540, 1990, 815, 1535, 266, 12011, 1141, 2048, 1775, 11313, 519, 16494, 1297, 7294, 982, 540, 269, 476, 274, 3738, 18758, 3919, 1394, 547, 519, 6498, 540, 1950, 2338, 267, 1175, 899, 267, 256, 281, 14921, 543, 29435, 532, 540, 1950, 1297, 547, 5581, 519, 4009, 3597, 540, 2942, 23511, 12474, 568, 13931, 676, 16671, 15760, 9539, 290, 4149, 288, 476, 274, 269, 271, 476, 272, 9948, 609, 910, 328, 267, 1775, 4318, 1039, 16494, 907, 5517, 602, 713, 1184, 666, 581, 1336, 676, 13868, 519, 1775, 538, 3830, 1496, 476, 272, 9948, 609, 910, 328, 476, 26341, 524, 256, 4934, 938, 4567, 2985, 693, 4179, 281, 12262, 560, 9850, 7456, 756, 516, 3667, 338, 3820, 519, 6169, 585, 14921, 1950, 2338, 538, 8701, 1106, 1950, 269, 1635, 16671, 15760, 9539, 290, 4149, 288, 476, 274, 269, 271, 2489, 267, 649, 786, 6460, 476, 278, 4501, 510, 2004, 4113, 883, 513, 1106, 1862, 8525, 693, 4179, 281, 12262, 560, 9850, 7456, 756, 516, 3667, 338, 3820, 1923, 342, 347, 815, 476, 274, 315, 3738, 543, 1422, 630, 1923, 315, 13320, 2715, 530, 7684, 2715, 1990, 1923, 315, 256, 670, 1777, 1186, 281, 12262, 560, 9850, 7456, 756, 516, 3667, 338, 3820, 540, 1210, 519, 630, 5839, 331, 4768, 514, 3738, 1379, 3126, 7269, 543, 568, 3769, 513, 269, 18140, 538, 519, 8701, 1106, 1586, 713, 1184, 666, 581, 9763, 607, 9648, 609, 8701, 10974, 3346, 693, 1862, 2422, 14328, 1106, 2942, 835, 562, 815, 536, 267, 1287, 513, 568, 1767, 547, 581, 519, 3597, 269, 19382, 547, 519, 6498, 540, 1950, 2338, 1888, 476, 3607, 875, 798, 1775, 6498, 540, 1950, 2338, 538, 8701, 1106, 6169, 519, 23479, 540, 1079, 2338, 1862, 1703, 568, 513, 1114, 1259, 547, 2099, 513, 1950, 1297, 538, 8701, 907, 2290, 1950, 1297, 538, 8701, 1106, 540, 513, 1950, 1297, 476, 278, 268, 276, 328, 568, 3254, 519, 269, 6423, 519, 3105, 3296, 267, 15733, 543, 2372, 582, 1801, 540, 1950, 2338, 267, 946, 14328, 1106, 513, 1862, 2098, 552, 1775, 16564, 1990, 269, 1990, 815, 678, 476, 272, 28250, 16564, 476, 272, 267, 607, 649, 786, 23511, 476, 273, 581, 1022, 1079, 1950, 2338, 538, 8701, 1106, 540, 513, 1950, 1297, 666, 581, 1336, 676, 519, 269, 594, 16564, 1990, 269, 1990, 815, 1535, 266, 12011, 1141, 2048, 1775, 11313, 519, 16494, 1297, 547, 713, 3296, 476, 273, 315, 16532, 786, 256, 654, 1106, 606, 31164, 6906, 524, 3738, 630, 476, 278, 6567, 476, 275, 1775, 3738, 5153, 476, 274, 519, 10974, 540, 1950, 538, 1862, 1677, 581, 519, 562, 6253, 3597, 6498, 540, 1950, 2338, 538, 8701, 1106, 6169, 536, 28250, 16564, 476, 272, 610, 10208, 1483, 11783, 19881, 3296, 267, 15733, 543, 2372, 582, 1801, 540, 1950, 2338, 538, 8701, 1106, 855, 538, 8701, 1106, 1344, 3346, 721, 9623, 256, 1656, 4661, 1776, 1950, 1297, 538, 8701, 1106, 1419, 1294, 585, 519, 8701, 1106, 540, 513, 1950, 1297, 568, 1572, 1862, 2913, 543, 581, 1079, 1950, 2338, 538, 8701, 1106, 676, 513, 1875, 14706, 1950, 568, 256, 589, 1950, 1297, 476, 278, 268, 276, 328, 16564, 26260, 2988, 582, 26664, 267, 849, 267, 5609, 16564, 815, 11534, 5242, 2427, 540, 519, 1570, 538, 713, 907, 1306, 513, 7110, 547, 713, 3296, 815, 268, 273, 910, 476, 273, 328, 1990, 815, 678, 476, 272, 16564, 269, 1341, 1775, 315, 7562, 630, 1422, 9064, 3738, 3738, 815, 11534, 5242, 2427, 540, 519, 5086, 16564, 26260, 2988, 582, 26664, 25066, 1106, 13462, 7223, 547, 29890, 786, 780, 295, 545, 24189, 12791, 769, 21460, 267, 30037, 476, 276, 281, 736, 7826, 267, 8779, 1723, 29879, 3794, 13293, 9487, 267, 2974, 325, 6355, 24630, 1656, 6176, 7010, 23749, 267, 3212, 2131, 20996, 16544, 267, 966, 7568, 880, 10163, 589, 7032, 267, 0, 258, 3848, 476, 275, 630, 7072, 547, 8890, 6776, 16387, 264, 674, 9928, 3487, 476, 273, 4569, 692, 25583, 281, 674, 2529, 322, 630, 7093, 27761, 326, 994, 12218, 281, 476, 273, 526, 5729, 454, 32317, 281, 23570, 30930, 8274, 454, 20428, 281, 9119, 454, 13707, 20113, 281, 476, 276, 454, 13911, 281, 11872, 692, 1103, 713, 3184, 649, 786, 1224, 891, 3584, 1384, 1892, 1548, 616, 519, 10096, 540, 519, 2262, 9511, 888, 1892, 5808, 729, 519, 13653, 540, 9511, 563, 1892, 1548, 568, 1773, 2033, 9511, 563, 1892, 1548, 568, 20348, 9511, 563, 1892, 1548, 568, 25107, 9511, 888, 1892, 16294, 513, 11282, 7077, 543, 11282, 17887, 563, 1892, 16294, 2612, 322, 20811, 543, 3921, 3729, 540, 513, 1448, 563, 1892, 3557, 543, 6961, 3845, 4542, 563, 1892, 20028, 540, 1448, 623, 3287, 11971, 264, 689, 1535, 14289, 568, 1923, 344, 347, 543, 689, 586, 14289, 568, 1923, 343, 347, 563, 1892, 20028, 6027, 1875, 24733, 5537, 547, 11282, 17887, 568, 1572, 3768, 20526, 3845, 563, 1892, 20028, 6027, 6252, 547, 519, 11282, 17887, 568, 1572, 9859, 3845, 563, 1892, 3557, 543, 6961, 519, 681, 566, 4542, 610, 10406, 4542, 563, 1892, 3557, 543, 6961, 519, 681, 566, 4542, 270, 19667, 1707, 4542, 585, 5007, 6498, 563, 1892, 14216, 633, 4571, 15304, 4542, 689, 5223, 4542, 563, 1892, 16294, 2405, 1014, 540, 513, 6906, 563, 1892, 1548, 798, 596, 1611, 676, 21276, 3515, 563, 1892, 16294, 2578, 5514, 540, 513, 6906, 563, 1892, 8058, 602, 1199, 2103, 540, 513, 6906, 616, 21276, 563, 1892, 1548, 616, 10974, 540, 1298, 5514, 540, 513, 6906, 563, 1892, 16294, 5086, 20312, 10725, 543, 538, 7266, 518, 540, 513, 6906, 563, 1892, 16294, 519, 8144, 540, 17887, 563, 1892, 3503, 519, 4834, 540, 8144, 540, 17887, 563, 1892, 16294, 519, 10047, 540, 17887, 563, 1892, 3503, 519, 3830, 540, 17887, 563, 1892, 3503, 519, 3830, 540, 10047, 540, 17887, 563, 1892, 16294, 519, 31007, 540, 513, 1899, 563, 1892, 16294, 519, 9386, 610, 13506, 540, 513, 1899, 563, 1892, 3503, 4542, 585, 9386, 540, 513, 1899, 8429, 998, 1079, 2798, 563, 1892, 1548, 568, 519, 2783, 540, 1079, 6252, 3515, 563, 1892, 1548, 568, 519, 2783, 540, 1079, 13902, 3515, 563, 1892, 1879, 1614, 2798, 616, 1767, 547, 581, 897, 710, 541, 563, 1892, 1548, 568, 519, 3830, 540, 1899, 6252, 547, 1535, 14289, 563, 1892, 1548, 568, 519, 3830, 540, 1899, 6252, 547, 586, 14289, 563, 1892, 1548, 798, 596, 1611, 676, 18448, 338, 563, 1892, 3557, 543, 6961, 519, 3830, 540, 1899, 538, 1793, 641, 25435, 1106, 563, 1892, 9537, 540, 3515, 563, 1892, 3557, 543, 6961, 3830, 540, 1899, 538, 1448, 1606, 331, 2100, 1106, 563, 1892, 14216, 633, 519, 21136, 1106, 540, 513, 1899, 563, 1892, 3557, 543, 6961, 3830, 540, 1899, 538, 1079, 15304, 338, 1106, 563, 1892, 17817, 540, 1875, 268, 3200, 673, 2786, 1899, 8429, 998, 1079, 2798, 563, 1892, 3557, 543, 6961, 3830, 540, 1899, 538, 18448, 1106, 563, 1892, 3557, 543, 6961, 3830, 540, 1899, 538, 3339, 1106, 563, 1892, 14674, 519, 2990, 540, 513, 1448, 609, 2463, 547, 1899, 563, 1892, 8672, 540, 10167, 543, 2783, 540, 21276, 563, 1892, 28171, 602, 31556, 540, 513, 6906, 616, 21276, 563, 1892, 28171, 602, 519, 1318, 20312, 10725, 540, 6906, 616, 21276, 563, 1892, 24234, 1063, 1079, 3515, 563, 1892, 5565, 3515, 561, 272, 543, 561, 273, 616, 6252, 952, 543, 1152, 952, 544, 272, 284, 332, 273, 563, 1892, 4855, 1448, 540, 10167, 540, 519, 3515, 563, 1892, 4855, 3830, 540, 1899, 563, 1892, 4855, 8650, 5086, 563, 1892, 4855, 9703, 7285, 540, 12730, 563, 1892, 4855, 9703, 5086, 540, 519, 29105, 563, 1892, 4855, 519, 4099, 540, 519, 4931, 15132, 548, 540, 519, 6906, 563, 1892, 16294, 519, 24267, 3830, 540, 4110, 562, 538, 1535, 543, 586, 4632, 563, 1892, 16294, 2489, 24267, 3830, 540, 2034, 4110, 538, 1535, 543, 586, 4632, 563, 1892, 4855, 513, 4745, 3830, 540, 519, 3515, 998, 519, 5169, 543, 13902, 547, 519, 3515, 563, 1892, 4855, 519, 1858, 540, 519, 22112, 3148, 563, 1892, 9351, 540, 11746, 345, 1756, 692, 1012, 4427, 18285, 547, 6505, 523, 707, 2104, 692, 2304, 4757, 729, 1175, 2366, 547, 6166, 707, 20478, 269, 7490, 1265, 519, 4757, 543, 4945, 1412, 18183, 3305, 7427, 262, 547, 1376, 20401, 532, 269, 0, 2971, 1548, 568, 476, 7906, 269, 275, 2600, 540, 476, 275, 267, 31405, 2496, 1692, 1454, 568, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 286, 2422, 519, 9498, 2630, 547, 5173, 513, 6871, 267, 2901, 607, 513, 6871, 540, 513, 1297, 267, 971, 607, 476, 7906, 269, 275, 260, 540, 476, 275, 4817, 271, 610, 519, 6871, 540, 476, 273, 2338, 269, 7827, 519, 2338, 547, 5173, 1114, 5666, 269, 15439, 1826, 883, 519, 3403, 10833, 543, 519, 2626, 786, 9337, 780, 1012, 476, 7906, 269, 275, 260, 540, 476, 275, 267, 31405, 815, 476, 22724, 275, 269, 274, 692, 24280, 1776, 6871, 2630, 269, 7392, 883, 11378, 454, 8340, 1297, 1759, 593, 6871, 454, 704, 1417, 540, 454, 8340, 6871, 1759, 593, 476, 273, 2338, 454, 323, 22866, 676, 454, 15612, 908, 15823, 14633, 1448, 2185, 540, 2185, 8536, 267, 8370, 4627, 543, 15823, 1215, 547, 5173, 476, 7906, 269, 275, 260, 540, 476, 275, 4817, 271, 286, 15439, 7941, 519, 2600, 676, 476, 1911, 543, 9062, 676, 519, 1297, 269, 1280, 1383, 267, 476, 7906, 269, 275, 1315, 1911, 1535, 476, 275, 4817, 271, 815, 476, 22724, 275, 269, 274, 610, 476, 271, 269, 276, 1691, 1535, 476, 275, 4817, 271, 815, 476, 22724, 275, 269, 274, 692, 2971, 1215, 1454, 568, 476, 7906, 269, 275, 2600, 540, 519, 1739, 2338, 2496, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 4905, 815, 476, 22724, 25396, 269, 276, 1691, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 6349, 815, 476, 22724, 32542, 269, 271, 2764, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 6734, 815, 476, 22724, 32542, 269, 276, 5655, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 6860, 815, 476, 22724, 28242, 269, 4962, 277, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 4962, 815, 476, 22724, 28242, 269, 6872, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 6187, 815, 476, 22724, 275, 3451, 269, 5400, 275, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 5881, 815, 476, 22724, 275, 3451, 269, 6795, 279, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 5400, 815, 476, 22724, 275, 4097, 269, 12208, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 6021, 815, 476, 22724, 275, 4097, 269, 277, 2918, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 272, 815, 476, 22724, 31973, 269, 1691, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1556, 815, 476, 22724, 31973, 269, 4792, 275, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1321, 815, 476, 22724, 275, 3607, 269, 12739, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1724, 815, 476, 22724, 275, 3607, 269, 6924, 273, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1691, 815, 476, 22724, 275, 4391, 269, 3422, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1428, 815, 476, 22724, 275, 4391, 269, 10170, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1626, 815, 476, 22724, 275, 4343, 269, 23470, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1704, 815, 476, 22724, 275, 4343, 269, 278, 4343, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1240, 815, 476, 22724, 275, 4375, 269, 21857, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 866, 815, 476, 22724, 275, 4375, 269, 278, 5780, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 273, 815, 476, 22724, 24496, 269, 2764, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 2641, 815, 476, 22724, 24496, 269, 8064, 275, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 25021, 7435, 692, 20756, 16921, 29755, 2221, 538, 713, 26189, 762, 596, 786, 1451, 547, 1118, 513, 1688, 602, 666, 1847, 899, 513, 1480, 1688, 780, 3383, 267, 1577, 781, 1205, 3323, 780, 263, 9616, 281, 27297, 6337, 585, 4704, 2020, 1012, 5153, 476, 272, 281, 10435, 513, 670, 16636, 692, 5575, 649, 991, 547, 1451, 875, 547, 1118, 513, 554, 16636, 267, 547, 1118, 519, 1688, 1847, 780, 272, 269, 6875, 513, 4216, 543, 1689, 922, 7516, 547, 476, 1428, 2473, 476, 1428, 2473, 476, 1724, 780, 273, 269, 6875, 513, 8559, 4216, 543, 1689, 922, 7516, 547, 476, 736, 2473, 476, 276, 2473, 476, 1428, 780, 274, 269, 1325, 793, 1312, 519, 10833, 538, 8998, 267, 855, 1832, 476, 273, 7825, 3845, 689, 3297, 269, 6828, 873, 780, 275, 269, 6875, 513, 12106, 267, 1118, 621, 8559, 267, 543, 1689, 922, 7516, 547, 476, 280, 2473, 476, 280, 2473, 476, 1556, 780, 276, 269, 1325, 793, 519, 8559, 12106, 609, 519, 3105, 4137, 538, 8998, 543, 1895, 873, 780, 277, 269, 6875, 1776, 12106, 543, 1689, 519, 7516, 547, 476, 278, 2473, 476, 278, 2473, 476, 280, 780, 278, 269, 6875, 513, 4216, 543, 1689, 922, 7516, 547, 476, 1321, 2473, 476, 1321, 2473, 476, 275, 780, 279, 269, 6875, 513, 12718, 543, 1689, 922, 7516, 547, 476, 1321, 2473, 476, 279, 2473, 476, 275, 780, 280, 269, 1325, 793, 519, 4216, 543, 12718, 607, 3254, 538, 8666, 476, 1626, 543, 1895, 873, 780, 1015, 269, 570, 2830, 621, 476, 3445, 5232, 607, 3254, 538, 8666, 1704, 780, 1556, 269, 6875, 519, 12106, 1500, 538, 1900, 476, 277, 5447, 621, 609, 519, 1101, 4137, 538, 8998, 607, 3254, 538, 8666, 476, 866, 780, 1321, 269, 6875, 519, 4137, 1500, 538, 1900, 476, 280, 543, 5447, 621, 607, 3254, 538, 8666, 476, 736, 543, 476, 2641, 543, 1895, 3388, 780, 3086, 1577, 781, 1376, 547, 1118, 519, 1688, 780, 1012, 5153, 476, 273, 281, 10435, 519, 7435, 692, 272, 269, 6875, 513, 4216, 543, 1689, 922, 7516, 547, 476, 1911, 2473, 476, 1428, 2473, 476, 1724, 780, 273, 269, 6875, 513, 12718, 543, 1689, 922, 7516, 547, 476, 736, 2473, 476, 1428, 2473, 476, 1724, 780, 274, 269, 6828, 873, 607, 3254, 703, 8666, 476, 277, 543, 476, 278, 780, 275, 269, 6875, 513, 8559, 4216, 543, 1689, 922, 7516, 547, 476, 1428, 2473, 476, 1724, 2473, 476, 2420, 780, 276, 269, 6875, 1776, 8559, 4216, 543, 1689, 922, 7516, 547, 476, 1911, 2473, 476, 272, 2473, 476, 2420, 780, 277, 269, 15012, 873, 607, 3254, 538, 8666, 476, 1691, 780, 278, 269, 6875, 1312, 519, 5515, 267, 5447, 543, 1895, 873, 607, 3254, 538, 8666, 476, 1428, 543, 476, 1626, 780, 279, 269, 6875, 519, 554, 16636, 26134, 621, 543, 1895, 609, 519, 4137, 607, 3254, 538, 8666, 476, 1704, 780, 280, 269, 13660, 12393, 519, 9416, 547, 1118, 476, 275, 780, 1015, 269, 5901, 476, 273, 7825, 3845, 1063, 1142, 9416, 780, 1556, 269, 5590, 873, 607, 829, 707, 11263, 780, 1321, 269, 6875, 513, 4216, 543, 1689, 922, 7516, 547, 476, 7761, 2473, 476, 5780, 2473, 476, 1724, 780, 1724, 269, 6828, 621, 609, 11263, 607, 3254, 538, 8666, 476, 2420, 780, 1691, 269, 6875, 519, 4137, 3254, 538, 8666, 476, 2537, 543, 28550, 621, 476, 6344, 5232, 607, 3254, 538, 8666, 476, 2190, 780, 1428, 269, 6828, 519, 31963, 543, 519, 4137, 609, 11263, 607, 3254, 538, 8666, 476, 1789, 543, 476, 4029, 780, 1626, 269, 6875, 554, 16636, 543, 1895, 621, 607, 3254, 538, 8666, 476, 3953, 780, 1704, 269, 6875, 513, 8559, 4216, 543, 1689, 922, 7516, 547, 476, 3583, 2473, 476, 4366, 2473, 476, 1428, 780, 1240, 269, 13660, 12393, 513, 9416, 543, 1895, 621, 609, 519, 8559, 4216, 607, 3254, 538, 8666, 476, 4097, 780, 866, 269, 570, 2830, 621, 476, 3445, 5232, 607, 3254, 538, 8666, 476, 3607, 780, 736, 269, 6828, 621, 609, 519, 1688, 607, 3254, 538, 8666, 476, 4391, 269, 0, 258, 15765, 20145, 692, 1012, 8791, 272, 269, 277, 763, 2034, 12045, 692, 11693, 513, 1114, 4192, 1599, 3230, 344, 284, 535, 3287, 9385, 3667, 346, 267, 6525, 649, 917, 602, 922, 12045, 267, 3230, 344, 815, 535, 21948, 343, 9385, 3667, 346, 267, 6525, 568, 513, 1644, 1599, 4171, 3977, 693, 3230, 343, 30381, 2330, 6645, 721, 519, 9386, 540, 519, 17242, 1899, 547, 3230, 344, 815, 535, 3287, 14638, 693, 519, 1448, 30967, 320, 267, 325, 5416, 4297, 315, 3667, 346, 269, 6525, 2334, 568, 267, 15627, 593, 519, 12045, 3113, 2995, 721, 519, 2418, 540, 19527, 593, 519, 3312, 1599, 779, 3113, 563, 4263, 513, 1448, 1141, 3230, 325, 21948, 343, 14638, 568, 2318, 267, 519, 9386, 540, 519, 17242, 1899, 547, 3230, 325, 2330, 568, 2318, 269, 4475, 267, 593, 606, 8884, 1141, 3230, 325, 21948, 343, 14638, 568, 2318, 267, 519, 1599, 3230, 325, 2330, 568, 2810, 630, 528, 8375, 1040, 6684, 267, 952, 3230, 325, 21948, 343, 14638, 568, 2942, 593, 606, 8884, 267, 519, 3113, 540, 3230, 325, 2330, 568, 13302, 630, 528, 9991, 1916, 763, 12045, 540, 3230, 325, 2330, 6645, 721, 711, 1152, 2436, 519, 1599, 3230, 325, 2330, 568, 2810, 610, 13302, 593, 606, 8884, 267, 855, 849, 875, 519, 1599, 3230, 325, 2330, 568, 2810, 610, 13302, 269, 6733, 693, 519, 1079, 17242, 3515, 3254, 538, 7612, 1109, 272, 269, 277, 269, 272, 269, 1284, 1294, 602, 2282, 1448, 3230, 288, 2330, 519, 1871, 540, 3230, 325, 21948, 343, 14638, 568, 2318, 543, 5266, 2673, 547, 4642, 267, 543, 2282, 602, 1448, 519, 3113, 568, 8375, 7444, 269, 1635, 4334, 267, 2282, 1448, 3230, 289, 20728, 346, 267, 6525, 519, 12045, 568, 2942, 543, 5266, 1804, 538, 6207, 1871, 267, 543, 3230, 325, 2330, 568, 13302, 6385, 2282, 3230, 289, 20728, 346, 269, 28021, 24916, 6998, 2436, 519, 1871, 540, 519, 12045, 1599, 568, 2318, 610, 2942, 543, 2436, 621, 568, 1804, 610, 1507, 267, 649, 666, 849, 2307, 968, 6011, 568, 519, 12045, 4657, 18313, 10303, 519, 12045, 267, 3230, 344, 815, 535, 21948, 343, 9385, 3667, 346, 267, 6525, 568, 3294, 513, 1599, 267, 649, 666, 2015, 2921, 922, 12045, 2443, 519, 12045, 540, 519, 12045, 2443, 543, 2307, 968, 6343, 1281, 519, 12045, 540, 519, 12045, 2995, 721, 827, 875, 519, 3312, 1599, 31136, 9495, 1284, 1376, 609, 606, 7634, 540, 513, 3001, 1843, 780, 2162, 2776, 1613, 11314, 272, 269, 277, 269, 272, 780, 763, 2990, 540, 513, 1286, 6117, 2059, 513, 2786, 4155, 693, 942, 3230, 339, 2330, 538, 3764, 568, 2016, 676, 519, 1599, 3230, 344, 815, 521, 6025, 14638, 602, 568, 3182, 3293, 2630, 269, 634, 1286, 779, 2990, 1599, 814, 4559, 6027, 538, 5215, 540, 3952, 269, 1280, 3236, 267, 519, 1448, 30967, 273, 267, 476, 275, 14638, 593, 519, 3113, 6920, 602, 1310, 3230, 273, 2330, 3764, 267, 519, 1286, 814, 14612, 3230, 6110, 271, 2330, 3952, 780, 2971, 630, 320, 264, 8512, 513, 780, 7617, 4781, 1655, 6257, 519, 2623, 540, 519, 1286, 593, 519, 942, 8884, 3230, 314, 273, 267, 274, 316, 315, 3667, 346, 286, 28021, 1892, 634, 1286, 568, 11074, 563, 1892, 634, 1286, 568, 10707, 693, 513, 3586, 630, 12061, 14706, 264, 3432, 563, 1892, 634, 1286, 568, 23960, 563, 1892, 634, 1286, 568, 632, 5120, 908, 563, 7617, 4781, 1655, 6257, 519, 2623, 540, 519, 1286, 593, 519, 942, 8884, 3230, 314, 274, 267, 275, 316, 315, 3667, 346, 286, 28021, 1892, 634, 1286, 568, 11074, 563, 1892, 634, 1286, 568, 10707, 693, 513, 3586, 630, 12061, 14706, 264, 3432, 563, 1892, 634, 1286, 568, 23960, 563, 1892, 634, 1286, 568, 632, 5120, 908, 563, 7617, 4781, 1655, 6257, 519, 2623, 540, 519, 1286, 593, 519, 942, 8884, 3230, 314, 275, 267, 276, 316, 315, 3667, 346, 286, 28021, 1892, 634, 1286, 568, 11074, 563, 1892, 634, 1286, 568, 10707, 693, 513, 3586, 630, 12061, 14706, 264, 3432, 563, 1892, 634, 1286, 568, 23960, 563, 1892, 634, 1286, 568, 632, 5120, 908, 563, 1692, 1082, 3952, 1705, 519, 1286, 2951, 593, 519, 942, 8884, 3230, 314, 276, 267, 278, 316, 315, 3667, 346, 286, 28021, 1692, 1082, 3952, 1705, 519, 1286, 2951, 593, 519, 942, 8884, 3230, 314, 271, 267, 1321, 316, 315, 3667, 346, 286, 15732, 2971, 630, 321, 264, 8512, 338, 536, 267, 524, 267, 546, 267, 543, 552, 780, 7617, 3113, 589, 6363, 568, 519, 1655, 11347, 540, 519, 12045, 1599, 3230, 338, 21948, 339, 9385, 3667, 346, 286, 28021, 1892, 589, 454, 1892, 645, 454, 1892, 595, 454, 1892, 667, 454, 1892, 661, 454, 1892, 674, 454, 589, 645, 595, 667, 661, 674, 454, 263, 9616, 281, 519, 7299, 17887, 540, 891, 11708, 949, 723, 1044, 26987, 547, 547, 3514, 891, 3252, 269, 8437, 593, 513, 3113, 547, 23822, 621, 8094, 3086, 556, 4067, 519, 3113, 596, 8359, 585, 519, 2626, 1657, 607, 519, 3113, 540, 3230, 341, 6025, 9385, 3667, 346, 269, 6525, 6904, 3113, 589, 6363, 568, 519, 1655, 11347, 540, 519, 12045, 1599, 3230, 341, 21948, 339, 9385, 3667, 346, 286, 28021, 1892, 589, 454, 1892, 645, 454, 1892, 595, 454, 1892, 667, 454, 1892, 661, 454, 1892, 674, 454, 7617, 540, 519, 1739, 6898, 616, 3020, 286, 8564, 782, 602, 4019, 563, 1892, 1879, 3230, 338, 21948, 339, 14638, 568, 2318, 267, 519, 1286, 779, 2990, 568, 13302, 563, 1892, 1879, 519, 1286, 25815, 1524, 267, 3230, 338, 21948, 339, 14638, 568, 2942, 563, 1892, 634, 1599, 3230, 338, 262, 2330, 4564, 519, 6991, 540, 519, 1286, 563, 1892, 1879, 3230, 338, 21948, 339, 14638, 568, 2318, 267, 519, 1286, 779, 2990, 568, 2810, 563, 1892, 634, 1599, 3230, 338, 262, 2330, 4564, 519, 10231, 540, 519, 1286, 563, 1892, 1403, 3230, 338, 21948, 339, 14638, 568, 4642, 267, 1287, 3230, 338, 6025, 14638, 1590, 581, 4642, 563, 1892, 1879, 3230, 338, 21948, 339, 14638, 568, 4642, 267, 519, 1286, 568, 11074, 563, 1892, 7183, 540, 519, 1657, 6898, 616, 3020, 563, 7617, 540, 519, 1739, 6898, 616, 3020, 286, 8564, 782, 602, 4019, 563, 1892, 1879, 3230, 341, 6025, 14638, 568, 2318, 267, 3230, 341, 21948, 339, 14638, 1590, 849, 581, 2318, 563, 1892, 1703, 616, 2053, 950, 3230, 341, 21948, 339, 14638, 568, 4642, 543, 3230, 341, 6025, 14638, 568, 711, 4642, 563, 1892, 1403, 3230, 341, 21948, 339, 14638, 568, 4642, 267, 1287, 3230, 341, 6025, 14638, 1590, 581, 4642, 563, 1892, 1879, 3230, 341, 21948, 339, 14638, 568, 2942, 267, 519, 1286, 568, 23646, 1524, 563, 1892, 634, 1599, 3230, 341, 262, 2330, 4564, 519, 2990, 540, 519, 1286, 563, 1892, 634, 1599, 3230, 341, 262, 2330, 4564, 519, 10231, 540, 519, 1286, 563, 1892, 1879, 3230, 341, 21948, 339, 14638, 568, 2942, 267, 519, 1286, 568, 3001, 23651, 563, 1892, 7183, 540, 519, 1657, 6898, 616, 3020, 780, 2162, 4427, 7611, 272, 269, 277, 269, 272, 19102, 2084, 610, 13302, 692, 3383, 2484, 267, 649, 723, 1031, 519, 1913, 2810, 543, 13302, 16022, 569, 547, 4766, 513, 1599, 779, 3113, 269, 3371, 649, 5581, 891, 2474, 811, 18005, 780, 2971, 9502, 272, 269, 277, 269, 273, 780, 11693, 513, 1599, 3230, 325, 3287, 14638, 3989, 593, 519, 8884, 30967, 320, 14720, 9385, 3667, 346, 267, 6525, 649, 2161, 602, 3230, 325, 2330, 568, 2810, 593, 30967, 320, 14720, 14638, 3177, 602, 585, 782, 3230, 343, 20728, 346, 267, 6525, 3230, 344, 2330, 538, 519, 8884, 30967, 320, 14720, 9385, 3667, 346, 267, 6525, 952, 3230, 343, 1422, 2741, 586, 20728, 346, 267, 6525, 1287, 3230, 325, 3287, 264, 1422, 2741, 535, 12169, 9385, 3667, 346, 269, 6525, 6684, 267, 649, 2161, 602, 3230, 325, 2330, 568, 13302, 593, 30967, 320, 14720, 14638, 3177, 602, 585, 782, 3230, 343, 20728, 346, 267, 6525, 3230, 344, 2330, 538, 519, 8884, 30967, 320, 14720, 9385, 3667, 346, 267, 6525, 952, 3230, 343, 1422, 2741, 586, 20728, 346, 267, 6525, 1287, 3230, 325, 3287, 264, 1422, 25885, 535, 12169, 9385, 3667, 346, 269, 28021, 8245, 2952, 2322, 267, 606, 2810, 1599, 568, 835, 602, 568, 8375, 607, 649, 1847, 689, 2451, 547, 1318, 2059, 519, 3113, 267, 543, 513, 13302, 1599, 568, 835, 602, 8813, 607, 519, 1871, 540, 519, 3403, 4679, 269, 1403, 519, 1599, 814, 513, 12045, 267, 519, 1129, 540, 519, 12045, 6645, 721, 2436 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3597, 269, 19417, 815, 476, 272, 1341, 3193, 4311, 10947, 318, 19417, 20172, 16000, 1070, 1582, 10947, 318, 19417, 20172, 16192, 11723, 1038, 3666, 815, 1582, 10947, 318, 25270, 20172, 2020, 1038, 952, 3666, 3436, 476, 272, 543, 1582, 10947, 318, 25270, 20172, 16000, 264, 13843, 476, 271, 912, 2018, 2132, 1582, 16192, 318, 8527, 622, 20172, 2020, 1038, 952, 3666, 2999, 910, 272, 543, 1582, 10947, 318, 25270, 20172, 16192, 264, 10922, 476, 271, 912, 2018, 2132, 1582, 16000, 318, 8527, 622, 20172, 2020, 1038, 952, 3666, 3436, 476, 272, 543, 1582, 10947, 318, 25270, 20172, 16000, 264, 2999, 476, 271, 912, 2018, 3597, 16000, 815, 1582, 16000, 318, 8527, 622, 20172, 16000, 994, 2018, 2132, 1582, 16192, 318, 8527, 622, 20172, 2020, 1038, 952, 3666, 2999, 910, 272, 543, 1582, 10947, 318, 25270, 20172, 16192, 264, 3436, 476, 271, 912, 2018, 3597, 16192, 815, 1582, 16192, 318, 8527, 622, 20172, 16192, 994, 2018, 2132, 1582, 16000, 318, 8527, 622, 20172, 2020, 1038, 2132, 3597, 692, 825, 1219, 1265, 28804, 4311, 267, 3597, 2187, 1038, 952, 3597, 568, 7183, 610, 3597, 16000, 568, 7183, 912, 2018, 2132, 3597, 692, 1038, 2132, 1582, 26098, 28804, 20172, 16000, 2020, 7531, 29728, 815, 20724, 299, 318, 21698, 4590, 10174, 815, 7183, 692, 10174, 815, 3529, 27044, 20172, 267, 476, 1015, 994, 10174, 815, 3529, 27044, 20172, 267, 476, 736, 994, 10174, 815, 3529, 27044, 20172, 267, 476, 1789, 994, 10174, 815, 3529, 27044, 20172, 267, 476, 2412, 994, 10174, 815, 3529, 27044, 20172, 267, 476, 2004, 994, 10174, 815, 3529, 27044, 20172, 267, 476, 1839, 994, 2745, 3488, 7093, 4650, 21986, 531, 281, 3299, 3529, 269, 2181, 318, 4650, 4671, 571, 951, 531, 20172, 267, 1496, 28413, 258, 3529, 26098, 318, 4364, 1014, 20172, 994, 10174, 815, 3529, 19709, 8541, 20172, 267, 476, 736, 994, 10174, 815, 3529, 19709, 8541, 20172, 267, 476, 2412, 994, 2745, 3488, 7093, 4650, 21986, 531, 281, 3299, 3529, 269, 2181, 318, 4650, 4671, 571, 951, 531, 20172, 267, 1496, 8079, 2020, 0, 3698, 19467, 4671, 6851, 9078, 1235, 17338, 318, 3847, 267, 1592, 318, 2431, 2187, 825, 1948, 7981, 2013, 281, 835, 610, 1312, 540, 8638, 616, 8900, 454, 825, 952, 7003, 17338, 318, 3847, 264, 2652, 476, 271, 912, 1038, 2132, 1592, 318, 2431, 454, 825, 8640, 7003, 17338, 318, 2431, 264, 2652, 476, 271, 912, 1038, 2132, 1592, 318, 3847, 692, 825, 1775, 815, 795, 815, 476, 271, 454, 825, 1592, 318, 1067, 3022, 815, 32582, 476, 1948, 1592, 547, 1628, 543, 2132, 454, 825, 7003, 4671, 13759, 815, 7003, 17338, 318, 3847, 264, 1341, 7003, 17338, 318, 2431, 994, 825, 1247, 7003, 17338, 318, 1067, 3022, 264, 2999, 7003, 4671, 13759, 912, 1038, 952, 1592, 318, 3847, 5157, 316, 10922, 1592, 318, 2431, 14728, 14158, 2018, 1592, 318, 1067, 3022, 6910, 17338, 318, 3847, 5157, 7481, 2018, 1775, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1592, 318, 1067, 3022, 6910, 17338, 318, 2431, 14728, 7481, 2018, 795, 6834, 476, 272, 692, 1038, 1948, 1403, 649, 616, 693, 519, 1439, 540, 835, 540, 519, 8638, 649, 666, 1175, 16289, 519, 14230, 540, 519, 1592, 454, 1038, 952, 795, 2652, 7003, 17338, 318, 2431, 2187, 2018, 1592, 318, 1067, 3022, 6834, 1592, 318, 3847, 5157, 281, 2639, 2018, 2736, 454, 1038, 8640, 1775, 2652, 7003, 17338, 318, 3847, 2187, 2018, 1592, 318, 1067, 3022, 6834, 1592, 318, 2431, 14728, 281, 2639, 2018, 2736, 692, 825, 2132, 1592, 318, 1067, 3022, 7531, 3698, 19467, 5334, 677, 9272, 8217, 2187, 825, 952, 7003, 9272, 8217, 264, 10922, 476, 272, 912, 1038, 2132, 3403, 8217, 454, 825, 3116, 912, 1038, 4571, 815, 7003, 9272, 8217, 264, 12262, 476, 273, 454, 1038, 2451, 267, 1318, 815, 3403, 8217, 11468, 13232, 3910, 3403, 8217, 314, 13232, 281, 2639, 1038, 2132, 19467, 4671, 6851, 9078, 1235, 263, 1067, 613, 5334, 677, 263, 3847, 1070, 19467, 5334, 677, 263, 2431, 264, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 3488, 26161, 19467, 4990, 5073, 825, 1820, 263, 1067, 613, 5334, 677, 8443, 280, 267, 476, 276, 267, 476, 278, 267, 476, 273, 267, 476, 277, 267, 476, 274, 267, 476, 276, 267, 476, 272, 267, 476, 275, 28413, 825, 1820, 263, 1067, 613, 5334, 677, 8443, 262, 874, 2541, 3299, 1412, 1504, 773, 3299, 1412, 928, 334, 3299, 1412, 20625, 11172, 4917 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10959, 267, 610, 5528, 543, 1352, 786, 20630, 1022, 4305, 269, 634, 10297, 616, 8854, 269, 2701, 6487, 875, 547, 1451, 267, 1018, 1568, 585, 1200, 267, 543, 1352, 814, 519, 6015, 547, 2648, 9887, 269, 0, 289, 6195, 910, 3778, 1280, 8866, 2807, 2252, 596, 4001, 1686, 540, 1022, 1974, 1862, 9767, 991, 713, 3135, 2336, 295, 1343, 2201, 3778, 281, 3778, 585, 8866, 268, 18917, 3135, 540, 7317, 4245, 281, 9147, 267, 2622, 267, 3864, 3778, 454, 289, 6195, 910, 3778, 910, 2622, 12668, 281, 13571, 7412, 570, 3402, 14044, 12875, 454, 289, 6195, 910, 3778, 1280, 8866, 1862, 3198, 312, 4116, 945, 11414, 1686, 2115, 713, 3135, 2336, 13328, 12668, 281, 2622, 2782, 2290, 570, 3402, 14044, 12875, 689, 18917, 3778, 454, 10454, 29017, 976, 12199, 4789, 585, 476, 7785, 1296, 267, 8108, 519, 4493, 540, 922, 2528, 267, 1893, 543, 10665, 4799, 22828, 540, 1579, 1407, 11571, 4728, 476, 1001, 275, 3390, 540, 18917, 3778, 454, 257, 297, 2033, 1530, 2096, 712, 267, 513, 4487, 540, 5883, 3751, 8361, 24163, 267, 1510, 1864, 16734, 621, 27324, 11571, 3144, 689, 513, 4728, 476, 1001, 275, 3390, 540, 18917, 3778, 18225, 563, 289, 6195, 910, 3778, 281, 9147, 3778, 538, 3829, 454, 289, 6195, 910, 3778, 1280, 8866, 910, 4789, 910, 519, 13804, 320, 14295, 320 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9824, 725, 1222, 1063, 10748, 328, 6248, 32437, 543, 570, 11624, 623, 3558, 538, 570, 11624, 14904, 281, 29362, 883, 519, 31469, 540, 570, 11624, 19087, 2668, 12813, 5308, 2290, 269, 476, 278, 630, 275, 2567, 552, 4097, 279, 4281, 269, 645, 756, 13892, 281, 1001, 273, 12195, 334, 12569, 1862, 278, 4097, 279, 4281, 306, 269, 8222, 281, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 19740, 4366, 278, 279, 269, 6751, 290, 476, 28590, 4817, 275, 274, 269, 20163, 476, 18597, 26482, 5392, 563, 5278, 2550, 3442, 547, 1205, 3238, 538, 968, 339, 11624, 1427, 20995, 2223, 799, 3322, 9849, 513, 3926, 538, 519, 10772, 602, 2488, 25695, 2575, 610, 6846, 267, 2059, 609, 18460, 13508, 269, 634, 3804, 568, 547, 948, 707, 1560, 543, 2634, 1451, 547, 1205, 26224, 547, 13046, 6846, 267, 799, 6971, 707, 2942, 6547, 547, 13311, 4992, 269, 8081, 543, 13508, 1282, 519, 1184, 666, 581, 5363, 585, 4227, 4160, 269, 12824, 616, 1631, 1565, 811, 827, 519, 2640, 540, 17396, 5042, 8965, 3797, 7459, 547, 948, 1521, 11605, 2404, 609, 13046, 269, 630, 274, 994, 5278, 2550, 2243, 519, 1871, 540, 5574, 602, 2887, 2110, 540, 606, 6207, 10826, 269, 11083, 288, 11099, 2550, 1058, 798, 3388, 2009, 547, 24390, 519, 11411, 540, 13046, 2394, 513, 17046, 10826, 568, 1336, 269, 1323, 3617, 21658, 949, 581, 519, 946, 540, 16481, 1575, 19745, 523, 585, 513, 15677, 269, 25592, 1575, 19745, 523, 3294, 1281, 711, 10826, 519, 5817, 2014, 540, 1034, 14331, 267, 855, 621, 1281, 2569, 519, 1928, 602, 2306, 14331, 1745, 865, 1659, 995, 269, 19452, 267, 519, 1034, 2500, 13046, 2126, 2645, 2232, 519, 3344, 540, 13046, 602, 865, 1419, 1118, 519, 2783, 1745, 24675, 727, 281, 4160, 267, 2566, 267, 1514, 10072, 267, 3280, 8417, 267, 6217, 7965, 267, 543, 9228, 4320, 563, 307, 11624, 2356, 2501, 538, 519, 1106, 540, 513, 1164, 1790, 17097, 3159, 538, 835, 610, 1312, 10772, 267, 855, 666, 849, 3280, 899, 513, 14467, 267, 887, 2130, 610, 945, 657, 3107, 3280, 269, 2755, 13046, 3884, 1405, 4628, 6956, 267, 621, 568, 1634, 547, 581, 513, 1129, 602, 1945, 568, 4636, 538, 519, 17391, 1062, 281, 519, 1274, 267, 519, 17391, 8229, 602, 13462, 519, 6418, 1274, 547, 519, 2634, 267, 610, 519, 2694, 540, 519, 2634, 602, 1184, 3280, 269, 23985, 607, 2241, 607, 513, 4062, 540, 1274, 342, 1314, 17527, 519, 1274, 12324, 666, 2014, 13046, 267, 855, 621, 666, 849, 8451, 689, 513, 1297, 540, 1072, 2175, 269, 1280, 1383, 267, 950, 10444, 2281, 538, 519, 6418, 1274, 616, 8697, 689, 10978, 6846, 267, 519, 4611, 6217, 2530, 2242, 930, 540, 519, 6786, 538, 519, 2634, 547, 2014, 13046, 563, 2026, 609, 519, 1101, 3635, 267, 1118, 2386, 596, 2461, 6899, 543, 12691, 547, 581, 22841, 269, 3767, 4952, 3054, 6028, 713, 4055, 269, 1411, 3802, 856, 540, 519, 7450, 543, 1246, 513, 2619, 2507, 693, 519, 1439, 540, 519, 2619, 568, 1776, 7450, 269, 1411, 1930, 602, 7450, 543, 3330, 596, 1294, 513, 4190, 4677, 1107, 596, 666, 5873, 5017, 13465, 267, 1453, 4730, 12341, 538, 519, 3845, 269, 1411, 1745, 513, 3579, 30089, 593, 707, 2960, 543, 5873, 519, 15309, 548, 540, 3762, 998, 519, 4054, 269, 634, 15437, 540, 519, 3762, 267, 3039, 267, 4154, 267, 2699, 267, 782, 7544, 2066, 513, 4190, 11432, 538, 519, 1647, 2507, 607, 596, 3802, 936, 547, 519, 11432, 267, 596, 1745, 519, 2571, 6371, 896, 707, 11953, 3952, 2507, 596, 16702, 707, 19462, 883, 519, 9350, 267, 2312, 11432, 543, 3247, 585, 513, 4090, 1107, 1175, 7680, 519, 5898, 540, 3388, 1472, 596, 7498, 4407, 972, 949, 581, 513, 2647, 2039, 540, 3123, 267, 606, 1271, 5817, 3815, 585, 519, 1646, 540, 13046, 568, 2634, 29010, 269, 276, 267, 278, 901, 3959, 2636, 519, 2634, 547, 1689, 543, 3082, 267, 543, 621, 568, 1898, 547, 875, 649, 1451, 269, 10251, 267, 538, 930, 2665, 267, 971, 607, 609, 6217, 2530, 267, 519, 17391, 851, 540, 519, 2634, 949, 581, 12012, 607, 2634, 29010, 13290, 547, 22771, 585, 519, 9402, 17391, 11378, 269, 901, 3210, 5012, 547, 2242, 538, 2634, 2534, 538, 519, 17391, 1062, 630, 324, 3052, 1421, 519, 17391, 16794, 264, 602, 666, 1711, 513, 943, 656, 558, 829, 1061, 281, 13046, 269, 1306, 971, 267, 1247, 13046, 949, 2253, 513, 1966, 693, 519, 17391, 13020, 344, 267, 621, 26251, 1317, 540, 2242, 2429, 519, 17391, 1062, 269, 6164, 532, 13046, 949, 2154, 5466, 1312, 519, 4384, 1807, 630, 324, 3052, 1421, 6217, 2530, 264, 543, 519, 9920, 630, 577, 5190, 538, 519, 17391, 2634, 1916, 8138, 11187, 13046, 568, 519, 1034, 1455, 1826, 543, 6589, 585, 476, 4817, 2600, 540, 2665, 269, 8307, 596, 666, 5873, 621, 543, 621, 779, 2356, 3361, 676, 4598, 547, 7050, 6846, 269, 898, 666, 2408, 10393, 543, 949, 2063, 1614, 3275, 630, 659, 1393, 264, 547, 476, 1321, 3275, 630, 11357, 659, 1393, 1070, 610, 3476, 269, 4427, 11187, 13046, 568, 1419, 10483, 676, 6217, 2530, 1813, 547, 4552, 1591, 8229, 3441, 269, 634, 10335, 540, 2589, 9775, 689, 3461, 547, 3461, 267, 543, 7361, 5673, 593, 707, 5114, 547, 519, 6846, 563, 7021, 519, 2063, 476, 2412, 1296, 540, 8156, 2550, 7092, 689, 13046, 267, 972, 779, 1044, 835, 936, 519, 4831, 6646, 602, 814, 3254, 519, 6574, 9153, 269, 2755, 621, 3085, 1406, 1683, 8323, 585, 3025, 267, 594, 3136, 547, 1294, 606, 476, 9262, 260, 12117, 2557, 538, 1250, 2550, 269, 634, 2126, 267, 799, 1281, 711, 2154, 513, 13310, 267, 568, 1634, 607, 570, 11624, 6513, 543, 568, 2139, 2228, 693, 5291, 2517, 4178, 6745, 11624, 31553, 2593, 454, 2419, 4474, 3465, 18587, 267, 744, 12839, 5709, 725, 543, 5253, 5410, 14476, 269, 6884, 519, 2014, 540, 13046, 568, 513, 13310, 630, 7945, 607, 606, 15084, 1070, 606, 936, 519, 4831, 6646, 610, 513, 1426, 19605, 269, 1306, 606, 1383, 267, 1079, 1360, 1455, 1095, 18587, 602, 723, 1044, 3254, 547, 2014, 13046, 616, 844, 24100, 543, 8392, 29783, 267, 799, 616, 1312, 1031, 547, 2061, 13663, 269, 15742, 1019, 675, 9455, 543, 2860, 6527, 666, 849, 2014, 13046, 269, 4634, 1945, 607, 2241, 607, 744, 12839, 29469, 666, 5352, 13046, 538, 930, 1004, 269, 634, 1426, 21187, 25326, 571, 306, 11548, 267, 590, 680, 12629, 543, 1306, 4820, 877, 723, 782, 1044, 5532, 547, 13046, 267, 543, 513, 2898, 3984, 540, 824, 2427, 2360, 267, 538, 4791, 2090, 269, 1452, 812, 13402, 1426, 21187, 1058, 581, 17515, 689, 707, 2732, 4625, 269, 1403, 1022, 540, 707, 6527, 616, 4929, 707, 13046, 267, 707, 4387, 949, 4363, 16069, 267, 4227, 610, 15175, 873, 856, 585, 824, 11955, 547, 1294, 952, 602, 2337, 10826, 707, 13046, 563, 5804, 10838, 519, 1082, 5574, 585, 13046, 267, 596, 2461, 1978, 547, 1265, 513, 3070, 602, 2337, 596, 2661, 513, 811, 6899, 1272, 267, 1863, 540, 519, 17140, 540, 13046, 269, 4014, 513, 17046, 10826, 568, 711, 4867, 2139, 267, 891, 2645, 666, 948, 596, 4383, 707, 13046, 543, 7413, 922, 3310, 593, 707, 1272, 269, 1403, 596, 960, 5702, 609, 606, 4810, 13046, 11285, 267, 789, 666, 948, 596, 3313, 799, 1576, 540, 2962, 568, 1655, 585, 596, 563, 7197, 1004, 945, 7985, 689, 13046, 849, 1995, 6217, 2530, 547, 930, 4110, 269, 1306, 789, 1419, 13173, 835, 1776, 267, 519, 1079, 2175, 949, 581, 17047, 269, 769, 1249, 267, 930, 3173, 3494, 602, 16148, 13046, 666, 1152, 2049, 952, 519, 17391, 1062, 814, 1044, 5892, 8697, 630, 25899, 1040, 634, 2530, 540, 1978, 3280, 12451, 1813, 547, 6217, 2530, 949, 1689, 875, 519, 2634, 3157, 3280, 267, 4929, 621, 547, 3082, 543, 6445, 538, 519, 10616, 609, 13046, 269, 634, 5817, 6217, 2530, 3335, 2164, 689, 4598, 547, 10978, 21089, 610, 4359, 2085, 912, 32546, 3494, 602, 13046, 568, 2404, 609, 8849, 630, 28090, 543, 8229, 264, 7063, 602, 1860, 519, 17391, 13374, 543, 4061, 2576, 779, 2702, 547, 5873, 4992, 269, 630, 1015, 264, 4107, 540, 519, 942, 267, 13046, 568, 513, 1267, 540, 513, 4524, 602, 5540, 2694, 540, 2901, 519, 9018, 267, 6418, 610, 1647, 1274, 269, 634, 1434, 3377, 568, 602, 519, 5354, 540, 2665, 616, 711, 5532, 547, 1022, 3978, 4576, 267, 4352, 930, 2665, 616, 563, 307, 11624, 24412, 723, 6836, 1082, 4244, 11257, 855, 1419, 547, 1100, 1992, 269, 2368, 723, 4862, 540, 1967, 2984, 5473, 519, 946, 540, 1978, 8324, 267, 6886, 267, 16909, 21339, 267, 610, 1256, 513, 1689, 538, 2732, 267, 855, 1419, 1705, 711, 1995, 2123, 1967, 538, 8156, 13046, 1210, 971, 3681, 269, 10251, 267, 1100, 2090, 547, 4266, 723, 1044, 2111, 547, 12314, 971, 5574, 547, 1022, 1483, 2640, 269, 2755, 1454, 540, 519, 4540, 1382, 723, 1044, 6131, 547, 4543, 721, 1174, 13046, 543, 922, 1696, 8344, 24598, 25751, 267, 972, 616, 4867, 1360, 1906, 5574, 602, 616, 24802, 24019, 269, 2986, 519, 1906, 602, 5342, 4791, 2090, 547, 6218, 519, 7145, 267, 1034, 1705, 711, 946, 11826, 4791, 2409, 971, 607, 9013, 585, 21897, 2360, 610, 5595, 15918, 4193, 547, 2327, 519, 8699, 540, 519, 1239, 543, 547, 9004, 1022, 2959, 540, 9186, 269, 570, 11624, 24412, 945, 1569, 971, 5574, 1419, 798, 711, 1995, 8323, 689, 741, 13046, 269, 1306, 513, 1267, 267, 13046, 24412, 1419, 1995, 10539, 267, 17140, 267, 513, 2530, 540, 4126, 267, 543, 25949, 1310, 2348, 16539, 942, 543, 2724, 593, 2139, 2126, 3681, 563, 303, 6160, 8684, 13046, 568, 513, 4686, 1826, 540, 13046, 602, 4992, 899, 513, 24754, 24421, 532, 538, 519, 1274, 267, 2356, 538, 942, 609, 707, 26470, 269, 589, 4387, 949, 581, 2111, 547, 5873, 621, 676, 10296, 513, 588, 996, 24005, 1996, 707, 8405, 610, 676, 11093, 513, 6263, 28416, 3330, 519, 1274, 12324, 269, 901, 2186, 540, 13046, 568, 1034, 1419, 3361, 676, 2042, 609, 1973, 2095, 538, 519, 2212, 610, 8405, 269, 623, 6160, 8684, 13046, 849, 949, 581, 3361, 676, 2634, 12970, 610, 17244, 538, 2634, 2497, 563, 4407, 13046, 568, 607, 9867, 607, 922, 3123, 267, 621, 666, 581, 19882, 883, 1079, 6688, 281, 512, 4689, 543, 1875, 268, 2023, 531, 269, 570, 4689, 13046, 568, 811, 1455, 543, 6257, 519, 8226, 540, 513, 2282, 9762, 514, 6681, 3280, 610, 20718, 4992, 609, 513, 1134, 20452, 4908, 630, 324, 3052, 1421, 627, 626, 1782, 267, 30366, 267, 18388, 532, 1040, 6348, 268, 2023, 531, 3029, 540, 13046, 1331, 23832, 267, 14467, 267, 11523, 1782, 267, 543, 678, 22824, 563, 17556, 1597, 1684, 20482, 267, 11022, 267, 568, 513, 772, 2529, 269, 4604, 2275, 1068, 1881, 17073, 6925, 4284, 6509, 269, 3220, 269, 1684, 20482, 4607, 1010, 15938, 4110, 538, 5053, 689, 519, 2160, 540, 12548, 693, 645, 30629, 269, 1261, 21783, 609, 1010, 6481, 23422, 689, 519, 2160, 2986, 12548, 2657, 7070, 4741, 538, 28631, 267, 12548, 538, 476, 1960, 279, 543, 6192, 1010, 32031, 2866, 538, 17073, 6925, 689, 28631, 2657, 6481, 4741, 538, 28631, 267, 12548, 538, 476, 1220, 273, 267, 1141, 646, 849, 6039, 607, 12751, 1763, 1211, 563, 6097, 547, 519, 1977, 570, 11624, 5948, 267, 1034, 2665, 540, 13046, 616, 3361, 676, 6217, 2530, 269, 12769, 31531, 1498, 267, 13046, 568, 3361, 676, 606, 16698, 547, 519, 17391, 1062, 269, 570, 11624, 666, 3006, 581, 513, 10835, 540, 513, 1966, 609, 519, 9389, 558, 663, 24212, 4745, 630, 26774, 297, 1040, 1403, 707, 13046, 568, 3361, 676, 25633, 297, 267, 1287, 513, 5959, 5650, 610, 1483, 9892, 540, 707, 11116, 949, 13468, 519, 1966, 563, 21675, 540, 519, 5817, 3119, 4524, 949, 948, 547, 2087, 610, 10826, 24754, 13046, 269, 1280, 1383, 267, 519, 2126, 540, 1973, 6077, 4713, 630, 324, 3052, 269, 546, 1116, 12091, 328, 8576, 748, 695, 2863, 338, 264, 666, 1331, 1978, 6527, 610, 6391, 269, 589, 10551, 5650, 1634, 607, 18980, 3774, 16646, 666, 6707, 1521, 24421, 8684, 13046, 1813, 547, 521, 31451, 18980, 31818, 545, 4918, 543, 632, 327, 4593, 775, 269, 769, 1249, 267, 1034, 2043, 723, 4810, 2347, 6571, 540, 741, 13046, 1739, 713, 6391, 269, 17889, 949, 849, 581, 2556, 585, 4686, 2665, 540, 24421, 8684, 13046, 3361, 676, 513, 10510, 563, 763, 5354, 540, 2665, 540, 13046, 616, 16148, 269, 20638, 13046, 568, 2484, 1447, 1455, 269, 1717, 267, 513, 5868, 540, 6662, 13046, 568, 13615, 547, 875, 2182, 543, 1134, 519, 6662 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2916, 676, 9870, 2518, 5210, 563, 26794, 1299, 32539, 7849, 13937, 22436, 3040, 2859, 13476, 7874, 3040, 4258, 1653, 982, 17405, 3040, 15822, 569, 6740, 543, 14616, 3040, 31418, 1176, 16487, 3040, 3509, 2067, 2200, 1869, 896, 8246, 7849, 13937, 32539, 3040, 12456, 1645, 547, 5117, 3040, 6348, 3146, 2908, 762, 4199, 3040, 4400, 569, 1166, 30100, 3040, 8779, 569, 6283, 3040, 4107, 1455, 2014, 540, 12539, 3933, 6448, 7972, 454, 26794, 1299, 32539, 13813, 22436, 3040, 6153, 2997, 22355, 3040, 15020, 3608, 3040, 31418, 1176, 7856, 3040, 769, 19763, 3040, 31418, 1176, 12318, 1043, 13813, 32539, 3040, 6348, 3146, 2908, 762, 267, 3728, 15723, 1154, 3040, 13813, 29908, 3040, 5262, 2159, 547, 22120, 3040, 12313, 568, 8375, 3040, 1234, 548, 1162, 12539, 667, 8610, 728, 454, 12749, 476, 276, 13813, 1763, 12883, 538, 519, 2622, 13474, 263, 553, 540, 476, 1001, 271, 264, 3040, 18142, 17936, 3040, 4516, 3040, 9459, 3040, 12925, 3040, 918, 17703, 7159, 476, 1691, 269, 2136, 2276, 1763, 12883, 6357, 11669, 29054, 264, 3040, 476, 28796, 269, 280, 3040, 476, 11260, 269, 273, 3040, 476, 15389, 269, 277, 3040, 476, 12893, 269, 271, 3040, 476, 6200, 269, 276, 3040, 476, 866, 269, 273, 454, 12749, 476, 276, 7849, 13937, 1763, 12883, 13474, 630, 553, 540, 476, 1001, 271, 264, 3040, 6576, 3040, 9459, 3040, 1627, 20345, 3040, 18142, 17936, 3040, 2136, 2276, 1763, 12883, 630, 23871, 11669, 10699, 545, 32243, 264, 3040, 476, 12739, 271, 269, 271, 3040, 476, 4200, 272, 269, 277, 3040, 476, 8660, 272, 269, 280, 3040, 476, 28670, 269, 276, 3040, 476, 26801, 269, 278, 20587, 540, 2622, 11192, 3040, 476, 2918, 269, 280, 260, 3040, 476, 1428, 269, 280, 260, 3040, 476, 1691, 269, 274, 260, 3040, 476, 275, 269, 272, 260, 3040, 476, 274, 269, 279, 14999, 4537, 1446, 3040, 1744, 1446, 1107, 513, 1895, 540, 5386, 3766, 11712, 267, 22495, 730, 24348, 7725, 9967, 540, 10036, 13355, 5536, 543, 521, 2830, 269, 3040, 681, 5699, 476, 2568, 260, 540, 24348, 4224, 5161, 540, 32549, 269, 3040, 4014, 649, 4867, 1349, 1804, 5666, 540, 8093, 10173, 267, 1454, 3788, 16290, 538, 519, 32549, 269, 3040, 3220, 3739, 3549, 723, 1500, 8441, 538, 23232, 2409, 540, 519, 3282, 543, 2067, 3154, 16290, 538, 519, 6263, 22405, 540, 32549, 269, 3040, 901, 6602, 1223, 835, 1554, 1118, 32549, 513, 10853, 2707, 540, 4492, 563, 11045, 569, 31700, 3040, 3776, 2197, 779, 13829, 593, 8093, 10173, 4229, 721, 547, 2149, 4914, 2959, 540, 3282, 269, 4438, 519, 14655, 13323, 2782, 267, 772, 2529, 269, 10136, 941, 2366, 547, 9856, 1996, 513, 2009, 2759, 4752, 540, 938, 3761, 269, 9291, 687, 540, 9489, 941, 6170, 538, 602, 2112, 543, 1082, 2729, 941, 4503, 269, 3040, 634, 3804, 540, 519, 4457, 2229, 568, 547, 1020, 741, 2197, 547, 513, 1377, 1141, 1169, 7622, 814, 513, 1286, 269, 2859, 982, 519, 1158, 779, 2698, 3282, 2504, 1131, 581, 2838, 538, 1931, 547, 4492, 873, 782, 269, 1403, 713, 941, 547, 4755, 267, 519, 5777, 1131, 865, 541, 593, 713, 3908, 4199, 563, 289, 9560, 2762, 3040, 29216, 613, 2131, 3820, 3040, 6052, 26810, 28022, 10993, 3040, 24601, 514, 24479, 3820, 3040, 14136, 324, 10276, 25489, 2593, 3040, 3163, 269, 6011, 560, 4428, 4103, 2593, 3040, 25024, 14537, 15258, 3820, 3040, 8585, 26713, 268, 19986, 3122, 2593, 3040, 11370, 14794, 2593, 3040, 3647, 24142, 2593, 3040, 772, 14369, 25901, 3820, 3040, 25115, 933, 2125, 2593, 3040, 2382, 26623, 4078, 333, 1458, 516, 14142, 3820, 3040, 6052, 275, 1889, 3820, 3040, 634, 514, 2617, 566, 10972, 2456, 2593, 3040, 13574, 328, 4318, 340, 3040, 645, 542, 5669, 325, 3241, 2593, 3040, 26361, 9008, 572, 4038, 2593, 3040, 4432, 332, 327, 32231, 12975, 0, 289, 3291, 11297, 568, 513, 4984, 602, 12090, 538, 3504, 3127, 543, 814, 1044, 13736, 585, 936, 476, 273, 267, 4335, 1296, 269, 898, 568, 1759, 593, 519, 10752, 540, 590, 1342, 9618, 15925, 717, 2246, 4821, 267, 945, 2968, 1634, 607, 519, 17700, 610, 968, 523, 2775, 2989, 835, 1848, 3371, 616, 930, 4749, 4280, 2055, 827, 13221, 563, 304, 281, 1548, 616, 519, 2596, 4978, 540, 13221, 888, 288, 281, 634, 9050, 32201, 18266, 338, 1106, 519, 5748, 540, 14418, 3661, 269, 1358, 616, 912, 272, 264, 5020, 568, 7092, 563, 273, 264, 22206, 1359, 14340, 689, 7287, 563, 274, 264, 1677, 1439, 7092, 267, 649, 1590, 9004, 7287, 563, 275, 264, 634, 1259, 547, 9004, 7287, 568, 547, 1246, 519, 20640, 19507, 11202, 563, 1103, 1840, 267, 6844, 327, 1235, 3494, 538, 737, 12609, 543, 32193, 1107, 602, 938, 3527, 723, 4539, 543, 602, 649, 786, 581, 6450, 1941, 883, 1776, 1272, 1759, 593, 938, 2623, 538, 713, 835, 563, 304, 281, 1684, 6844, 327, 1235, 10847, 513, 5601, 888, 288, 281, 3143, 267, 13221, 1281, 711, 723, 513, 3844, 25976, 547, 10847, 269, 5502, 267, 621, 6212, 593, 2123, 5289, 1646, 998, 9066, 543, 5683, 2713, 563, 304, 281, 1548, 568, 715, 597, 341, 3570, 888, 288, 281, 715, 597, 341, 3570, 568, 519, 10700, 3804, 540, 14418, 2259, 1107, 513, 1533, 540, 21481, 1141, 835, 31267, 5191, 689, 7092, 543, 32193, 269, 898, 568, 1419, 4330, 607, 513, 1533, 540, 3501, 4708, 543, 1620, 563, 304, 281, 1215, 798, 6844, 327, 1235, 1199, 10028, 888, 288, 281, 1703, 616, 1082, 1114, 3029, 540, 9066, 538, 13221, 267, 855, 1034, 4125, 2519, 593, 519, 7362, 610, 606, 1843, 971, 607, 513, 16051, 571, 610, 3239, 269, 634, 3804, 568, 547, 9602, 519, 2247, 543, 1020, 5834, 543, 11009, 563, 304, 281, 3657, 972, 1114, 3506, 540, 13221, 888, 288, 281, 8786, 267, 972, 616, 1896, 2101, 8371, 540, 13221, 1519, 634, 9545, 3385, 630, 11398, 5631, 538, 14913, 5607, 1070, 10067, 27011, 630, 11398, 5631, 538, 3624, 267, 3567, 267, 543, 9705, 1070, 966, 1690, 2001, 3570, 630, 11398, 5631, 538, 17230, 1070, 543, 24789, 630, 320, 5545, 1153, 1916, 304, 281, 2052, 4896, 1831, 513, 14418, 888, 288, 281, 8786, 256, 25175, 666, 2259, 13221, 7488, 540, 741, 4282, 610, 4978, 269, 3509, 1004, 1265, 602, 519, 10752, 543, 2853, 540, 13221, 666, 581, 5363, 538, 7231, 609, 2566, 267, 4160, 267, 543, 824, 2591, 538, 1272, 563, 304, 281, 1684, 6844, 327, 1235, 3494, 538, 1514, 5126, 888, 288, 281, 8786, 267, 1082, 6844, 327, 1235, 616, 3742, 538, 1514, 5126, 3123, 971, 607, 2825, 1143, 267, 1480, 2924, 267, 543, 32593, 775, 269, 634, 14418, 1523, 540, 968, 2431, 2962, 892, 11363, 5683, 2623, 543, 8296, 585, 782, 7919, 563, 1103, 3932, 267, 13221, 568, 513, 3638, 543, 1950, 4984, 602, 3091, 513, 2619, 547, 2123, 2208, 543, 21481, 269, 6787, 596, 616, 5461, 538, 9066, 610, 1175, 8049, 827, 1114, 5289, 5389, 267, 972, 568, 1454, 547, 1451, 689, 713, 3504, 7326, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 8207, 519, 2627, 540, 519, 7599, 563, 3963, 1281, 621, 2339, 286, 12465, 8254, 543, 16263, 14485, 616, 4439, 5652, 543, 5230, 267, 1767, 2473, 532, 329, 773, 15281, 267, 7222, 2278, 540, 513, 1353, 538, 30594, 16707, 269, 4400, 14617, 24985, 1522, 723, 5394, 267, 23756, 4837, 14485, 476, 1789, 3952, 538, 8006, 563, 1692, 1281, 621, 960, 286, 3571, 2319, 779, 5647, 3096, 968, 333, 8457, 3613, 23461, 593, 519, 7828, 3079, 540, 22441, 547, 26048, 1769, 2223, 799, 2636, 873, 547, 581, 25182, 267, 14402, 267, 543, 6366, 269, 634, 24282, 3557, 7828, 568, 2965, 513, 865, 10777, 4496, 839, 267, 513, 2582, 4062, 540, 6094, 267, 2312, 14041, 4806, 539, 609, 6289, 665, 15009, 1023, 269, 7085, 9014, 17253, 4496, 5151, 723, 1044, 2919, 1354, 269, 634, 24282, 3557, 2319, 17408, 8898, 519, 5663, 1505, 547, 3132, 513, 476, 275, 20878, 17253, 7828, 2443, 1454, 3677, 982, 3105, 1806, 855, 1454, 4130, 982, 2757, 16263, 14485, 269, 0, 31819, 827, 8930, 23346, 14296, 596, 1058, 917, 454, 303, 514, 23346, 14296, 616, 12777, 14296, 602, 2097, 609, 6263, 9475, 533, 12097, 998, 519, 14485, 269, 1358, 616, 3622, 1031, 547, 948, 2087, 930, 31659, 6959, 538, 707, 4064, 269, 1358, 960, 676, 31364, 519, 4064, 689, 9940, 1769, 12345, 267, 799, 666, 1253, 677, 835, 781, 5075, 269, 16685, 7189, 3277, 547, 8930, 23346, 14296, 607, 1945, 602, 6971, 519, 834, 4565, 584, 5858, 257, 593, 519, 22100, 781, 1394, 563, 19894, 14296, 543, 3346, 14485, 616, 1114, 689, 8930, 23346, 14296, 269, 634, 5449, 2953, 338, 5075, 676, 10655, 1769, 12345, 10024, 519, 4064, 543, 3850, 873, 547, 27721, 609, 519, 22100, 269, 11531, 267, 519, 8545, 7182, 519, 2179, 540, 1769, 2469, 883, 707, 4064, 269, 901, 6087, 1004, 547, 1294, 5693, 269, 4746, 267, 8930, 23346, 14296, 798, 711, 2097, 609, 3750, 9344, 267, 865, 4896, 666, 4444, 543, 946, 873, 269, 1717, 267, 621, 1522, 581, 6225, 547, 917, 519, 2470, 543, 3483, 540, 891, 2363, 1122, 28904, 1354, 9140, 873, 563, 12234, 267, 972, 616, 824, 7355, 596, 1590, 2015, 1354, 1210, 8930, 23346, 14296, 269, 1306, 1585, 6811, 540, 7145, 540, 891, 14296, 991, 2417, 2090, 267, 621, 666, 581, 6225, 547, 2697, 519, 3344, 1141, 789, 666, 581, 5363, 1354, 10115, 538, 835, 563, 2710, 8930, 23346, 14296, 2087, 5075, 888, 1103, 930, 2665, 267, 8930, 23346, 14296, 616, 1031, 547, 13468, 4230, 25634, 1143, 610, 683, 1513, 32484, 1145, 269, 3958, 267, 930, 3750, 7189, 4196, 607, 519, 3119, 3755, 269, 1358, 1419, 946, 891, 14296, 607, 513, 10368, 6293, 547, 2697, 1022, 5075, 23043, 563, 2467, 568, 1869, 2370, 2963, 547, 1489, 519, 6811, 540, 8930, 23346, 14296, 269, 769, 930, 2665, 267, 8930, 23346, 14296, 666, 2087, 32416, 952, 1031, 538, 4999, 609, 930, 3750, 5751, 269, 18237, 23346, 14296, 666, 2087, 835, 781, 5075, 17303, 269, 1703, 1522, 711, 723, 4791, 2963, 593, 713, 267, 855, 930, 1004, 946, 891, 14296, 585, 513, 1808, 2179, 540, 1826, 538, 513, 1554, 563, 2005, 666, 849, 581, 4502, 15663, 602, 8930, 23346, 14296, 10355, 2569, 3750, 8833, 269, 769, 1249, 267, 513, 1353, 538, 476, 1001, 278, 7000, 602, 789, 7620, 2333, 3750, 8833, 267, 2523, 952, 596, 2322, 873, 593, 1247, 2542, 610, 1210, 707, 2780, 563, 3674, 621, 2922, 547, 5957, 8930, 23346, 14296, 888, 1103, 2489, 267, 5275, 5796, 689, 606, 2363, 1815, 732, 3318, 1522, 581, 6225, 269, 901, 1259, 267, 789, 666, 2697, 519, 1697, 2126, 585, 596, 543, 2436, 596, 2731, 991, 547, 2322, 593, 8930, 23346, 14296, 269, 1306, 596, 949, 917, 267, 789, 798, 711, 10826, 1022, 3750, 2783, 282, 3079, 267, 789, 17303, 2953, 930, 8766, 5075, 23043, 563, 4407, 891, 14296, 1522, 2097, 609, 2640, 267, 789, 616, 711, 4998, 585, 9849, 538, 3232, 4247, 269, 901, 568, 1317, 15888, 1374, 8930, 23346, 14296, 547, 3625, 930, 2694, 540, 606, 1367, 781, 1463, 5075, 543, 6615, 922, 15672, 5075, 269, 1306, 513, 1267, 267, 621, 786, 2569, 519, 2179, 540, 1769, 10024, 519, 4064, 267, 799, 5555, 6971, 3308, 2298, 563, 1103, 2796, 267, 596, 1522, 1294, 513, 8325, 3239, 267, 855, 519, 3239, 666, 2408, 3897, 2094, 596, 616, 8380, 593, 8930, 23346, 14296, 269, 11242, 602, 2154, 1732, 5075, 267, 899, 6117, 267, 666, 1831, 22247, 950, 1210, 8930, 23346, 14296, 563, 19950, 5944, 267, 891, 14296, 616, 10355, 1031, 676, 2043, 2348, 5075, 23043, 269, 5502, 267, 3750, 7189, 4122, 946, 873, 269, 901, 568, 1317, 8930, 23346, 14296, 616, 1898, 547, 3927, 3313, 952, 513, 1268, 814, 930, 2042, 609, 741, 5075, 269, 18237, 23346, 14296, 616, 1031, 547, 13209, 1351, 928, 531, 23673, 610, 25942, 9711, 269, 5015, 267, 789, 666, 3648, 948, 547, 2708, 2436, 513, 1268, 609, 513, 25942, 716, 2115, 6391, 563, 763, 2640, 540, 9849, 8930, 23346, 14296, 454, 15703, 7440, 543, 14868, 3295, 519, 7145, 540, 8930, 23346, 14296, 269, 1717, 267, 972, 616, 930, 3344, 602, 5693, 3142, 2318, 2360, 547, 1346, 945, 946, 891, 14296, 269, 3371, 616, 930, 540, 873, 563, 272, 269, 1358, 948, 1004, 609, 1250, 18701, 1294, 5693, 269, 634, 2360, 540, 1250, 18701, 610, 683, 1513, 32484, 1145, 949, 581, 4389, 676, 1210, 8930, 23346, 14296, 269, 2201, 519, 824, 1688, 267, 2094, 789, 3625, 930, 1769, 12345, 267, 519, 3239, 666, 2408, 3897, 1067, 982, 519, 2834, 2298, 269, 1358, 949, 581, 5363, 547, 1346, 609, 1250, 18701, 267, 855, 789, 616, 711, 6198, 585, 3232, 946, 267, 2523, 950, 5665, 12227, 610, 6117, 563, 273, 269, 18237, 23346, 14296, 666, 581, 5363, 585, 4230, 25634, 1143, 269, 769, 4641, 267, 891, 14296, 1152, 17303, 948, 1346, 1004, 2348, 4230, 25634, 1143, 269, 5015, 267, 789, 798, 711, 18385, 2953, 3750, 12972, 269, 901, 1797, 602, 596, 786, 2132, 547, 707, 3312, 5075, 2899, 596, 1491, 873, 1055, 563, 274, 269, 1358, 616, 5363, 585, 3750, 7189, 269, 13575, 267, 2363, 1815, 732, 4648, 946, 8930, 23346, 14296, 547, 2697, 1808, 3750, 2042, 269, 1358, 1419, 946, 873, 2059, 609, 606, 29473, 863, 518, 267, 799, 568, 513, 1907, 789, 946, 547, 3382, 519, 4064, 950, 2542, 606, 3750, 5750, 563, 275, 269, 4658, 609, 1323, 597, 573, 807, 1522, 4324, 689, 891, 14296, 269, 1323, 597, 573, 807, 4016, 547, 519, 9864, 610, 2347, 9000, 540, 606, 32640, 269, 634, 32640, 568, 519, 835, 3743, 585, 9013, 519, 2179, 540, 1769, 4847, 883, 519, 4064, 269, 2060, 519, 9000, 540, 606, 32640, 267, 513, 1268, 1522, 7985, 3308, 23673, 543, 27676, 1350, 732, 267, 799, 23475, 28904, 543, 2363, 1122, 28904, 616, 540, 1100, 948, 269, 634, 8930, 23346, 14296, 3970, 519, 1769, 4947, 538, 543, 3132, 513, 1454, 20501, 5075, 563, 1692, 547, 1265, 519, 1655, 8930, 23346, 14296, 888, 1103, 1034, 2665, 267, 8930, 23346, 14296, 2097, 609, 9475, 269, 1717, 267, 621, 1522, 849, 581, 4502, 15663, 602, 519, 14604, 267, 1519, 519, 5546, 267, 666, 4268, 269, 3371, 616, 930, 2609, 596, 949, 2015, 950, 10918, 585, 8930, 23346, 14296, 563, 272, 269, 5071, 269, 6145, 519, 2834, 2363, 1122, 28904, 543, 23475, 28904, 267, 8930, 23346, 14296, 2097, 538, 1585, 6272, 269, 4107, 9755, 666, 1711, 5180, 267, 4009, 267, 610, 5929, 14604, 269, 901, 2636, 596, 547, 1869, 581, 6752, 762, 1256, 950, 9849, 891, 2010, 540, 14296, 563, 273, 269, 7822, 269, 2368, 8930, 23346, 14296, 616, 538, 1114, 4778, 269, 634, 7828, 1522, 581, 538, 7833, 3109, 267, 855, 519, 7406, 543, 4478, 519, 7828, 1223, 581, 540, 1022, 2681, 269, 14597, 596, 1904, 585, 513, 1454, 17321, 7406, 282, 596, 666, 2141, 2307, 707, 8930, 23346, 14296, 8502, 563, 274, 269, 12313, 269, 1306, 609, 1022, 824, 1587, 267, 9140, 8930, 23346, 14296, 786, 1942, 596, 930, 9489, 269, 1703, 616, 10097, 3283, 799, 596, 666, 946, 269, 898, 786, 4096, 593, 707, 6578, 267, 855, 596, 723, 547, 581, 5100, 538, 9140, 835, 269, 3502, 782, 7199, 8930, 23346, 14296, 10018, 519, 1655, 2164, 269, 2311, 519, 1482, 942, 267, 711, 782, 14949, 3283, 3668, 519, 29782, 4397, 689, 8930, 23346, 14296, 563, 275, 269, 667, 13701, 269, 13575, 267, 8930, 23346, 14296, 616, 711, 4998, 547, 946, 2094, 789, 3897, 930, 2592, 543, 2569, 741, 3308, 2298, 269, 1717, 267, 596, 1522, 1616, 547, 2708, 741, 2298, 269, 1411, 798, 711, 1616, 547, 7683, 4444, 8930, 23346, 14296, 1310, 519, 1101, 835, 568, 711, 6198, 15042, 269, 0, 2467, 616, 1896, 2009, 3123, 540, 6727, 4745, 1928, 267, 971, 607, 30456, 267, 5563, 267, 543, 4043, 514, 4345, 269, 4033, 2009, 3123, 616, 7063, 267, 971, 607, 18655, 267, 20247, 23148, 267, 838, 23230, 267, 543, 12490, 563, 306, 5844, 4745, 1928, 666, 581, 13943, 543, 1860, 513, 1268, 779, 2702, 547, 4163, 856, 3232, 4247, 563, 2252, 513, 1268, 2833, 6727, 4745, 1928, 267, 621, 949, 581, 513, 1129, 602, 789, 723, 606, 5945, 610, 2919, 513, 5312, 2783, 563, 1103, 713, 2376, 267, 649, 2491, 1018, 513, 4745, 568, 543, 7291, 930, 2009, 3123, 540, 6727, 4745, 1928, 563, 288, 4745, 568, 513, 1448, 538, 519, 1560, 1141, 1079, 7633, 2743, 269, 4107, 540, 519, 1560, 779, 10549, 616, 5985, 267, 799, 1797, 789, 1450, 519, 7633, 547, 1847, 563, 2467, 616, 1614, 2010, 540, 10549, 538, 519, 1560, 912, 268, 17316, 9317, 281, 1452, 10549, 616, 6378, 543, 616, 1419, 1799, 990, 762, 269, 1452, 1331, 519, 10549, 1063, 519, 912, 268, 10824, 538, 519, 15693, 454, 268, 7633, 538, 519, 2539, 851, 540, 519, 7916, 543, 519, 7953, 454, 268, 14295, 559, 698, 29532, 281, 1452, 616, 513, 1826, 540, 4745, 1141, 1152, 20162, 6585, 519, 7633, 1927, 269, 1452, 616, 5594, 5985, 10549, 602, 1450, 513, 1507, 2179, 540, 3350, 269, 2290, 1383, 540, 713, 1826, 540, 4745, 568, 519, 4745, 1063, 519, 1318, 543, 2451, 1435, 545, 7633, 563, 268, 14271, 990, 658, 281, 1452, 10549, 1450, 513, 2603, 540, 3350, 543, 616, 519, 1292, 6198, 10549, 540, 519, 1560, 602, 1450, 519, 17873, 543, 824, 1560, 2694, 547, 1847, 269, 1452, 10549, 4183, 513, 13570, 602, 3568, 861, 2617, 658, 5714, 267, 799, 2636, 519, 7633, 1369, 519, 4745, 547, 1847, 11884, 269, 6201, 540, 861, 2617, 658, 10549, 1331, 912, 288, 1297, 540, 2564, 2175, 610, 824, 2188, 949, 2014, 513, 1268, 547, 1995, 6727, 1928, 538, 1022, 540, 519, 10549, 563, 13349, 2589, 540, 30456, 7133, 519, 10549, 1331, 912, 268, 7920, 1928, 267, 799, 2356, 5540, 835, 4745, 693, 513, 942, 454, 268, 10549, 602, 616, 3905, 547, 5905, 454, 300, 2297, 616, 1614, 2053, 811, 2693, 982, 8951, 547, 1020, 30456, 563, 294, 719, 10953, 538, 930, 1004, 609, 1164, 579, 878, 3679, 2157, 538, 741, 4703, 269, 772, 878, 3679, 13976, 909, 950, 513, 1268, 779, 1560, 9397, 1524, 1625, 1149, 269, 8830, 1149, 616, 538, 930, 1480, 2281, 543, 1082, 3536, 269, 16639, 602, 2270, 1625, 1149, 1331, 912, 268, 2699, 5779, 454, 268, 1418, 16469, 454, 268, 930, 16872, 454, 2691, 579, 878, 3679, 13976, 909, 538, 513, 1268, 779, 1560, 267, 621, 666, 2014, 13549, 6438, 14848, 547, 1106, 269, 1452, 14848, 666, 561, 17690, 538, 10549, 267, 799, 3123, 4049, 1928, 543, 11926, 563, 4913, 267, 824, 3968, 2010, 602, 666, 2014, 23170, 12263, 454, 4322, 5563, 949, 2253, 538, 513, 11397, 851, 540, 519, 1560, 267, 971, 607, 519, 2960, 610, 519, 16063, 8778, 563, 5353, 10364, 12263, 949, 1860, 519, 4745, 538, 1082, 2081, 267, 971, 607, 912, 268, 6727, 11926, 454, 268, 10549, 602, 616, 3636, 547, 5905, 454, 268, 3908, 2039, 540, 5163, 1472, 519, 4299, 4745, 454, 288, 1268, 949, 849, 1995, 11528, 2589, 689, 519, 3968, 7133, 824, 1560, 2694, 269, 1452, 2589, 1331, 912, 307, 754, 514, 4345, 3123, 31926, 543, 1928, 538, 2127, 1472, 519, 4745, 267, 971, 607, 538, 912, 2005, 949, 2049, 10393, 267, 4929, 6727, 4745, 1928, 269, 570, 754, 514, 4345, 949, 2063, 585, 2395, 610, 513, 3476, 1974, 269, 570, 754, 514, 4345, 1928, 3587, 8338, 609, 3350, 269, 898, 2356, 10607, 1310, 1964, 610, 2126, 563, 307, 754, 514, 4345, 568, 1034, 1455, 538, 1004, 936, 519, 2085, 540, 476, 2412, 543, 9845, 563, 15703, 2188, 666, 2014, 4043, 514, 4345, 267, 1519, 912 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8137, 563, 5825, 1276, 320, 267, 610, 6094, 7401, 267, 568, 5423, 609, 5111, 476, 272, 269, 4037, 10101, 630, 26920, 532, 547, 476, 272, 269, 276, 646, 12686, 669, 1662, 27495, 1085, 17274, 267, 610, 827, 3368, 513, 23188, 264, 540, 6474, 320, 543, 5111, 476, 4037, 16720, 630, 273, 269, 276, 12063, 264, 540, 3905, 1216, 829, 7674, 267, 799, 666, 581, 31953, 539, 547, 3132, 8389, 628, 610, 711, 267, 2687, 547, 519, 4235, 518, 781, 13283, 630, 528, 547, 519, 5389, 540, 519, 1880, 1153, 540, 7401, 1040, 2974, 1276, 320, 5932, 513, 14402, 543, 5594, 811, 15280, 7401, 563, 16675, 7401, 267, 2705, 267, 568, 2808, 547, 723, 12090, 538, 3624, 269, 898, 568, 1767, 602, 1256, 2221, 519, 2262, 968, 974, 320, 892, 538, 3624, 4016, 1152, 547, 3039, 7401, 267, 711, 547, 519, 2489, 7121, 540, 7401, 607, 621, 1281, 538, 519, 4639, 269, 3624, 779, 962, 18365, 534, 11662, 568, 2808, 547, 581, 519, 3312, 1753, 540, 519, 6682, 749, 807, 5609, 18424, 2030, 2249, 269, 769, 1249, 267, 476, 18605, 540, 519, 1158, 779, 476, 23884, 266, 8677, 540, 7401, 666, 581, 1336, 538, 962, 18365, 534, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 1934, 2336, 272, 454, 272, 454, 763, 1412, 22487, 540, 546, 7976, 262, 814, 606, 1198, 593, 519, 2450, 540, 519, 3239, 563, 12148, 454, 16178, 454, 273, 454, 272, 454, 1432, 1058, 649, 1305, 737, 3160, 547, 952, 649, 1616, 519, 3239, 547, 581, 519, 3169, 1482, 607, 519, 840, 13548, 888, 274, 454, 272, 454, 288, 546, 7976, 786, 1267, 538, 606, 1843, 21412, 547, 519, 3312, 563, 15919, 454, 29490, 454, 22142, 454, 275, 454, 272, 454, 288, 546, 7976, 786, 17967, 519, 3239, 3448, 547, 519, 840, 13548, 563, 15919, 454, 29490, 454, 22142, 454, 276, 454, 272, 454, 13729, 737, 815, 476, 274, 538, 519, 17250, 1657, 269, 12763, 29314, 543, 21191, 8339, 1548, 568, 519, 5223, 540, 21191, 262, 270, 29151, 286, 12315, 707, 2626, 538, 519, 1106, 544, 14672, 1141, 544, 543, 562, 616, 9981, 269, 2422, 513, 9498, 547, 1118, 707, 19106, 952, 2877, 563, 277, 454, 272, 454, 13729, 737, 815, 476, 275, 538, 519, 17250, 1657, 269, 12763, 29314, 543, 21191, 8339, 1548, 568, 519, 5223, 540, 21191, 262, 270, 29151, 286, 12315, 707, 2626, 538, 519, 1106, 544, 14672, 563, 278, 454, 272, 454, 4263, 1018, 1871, 540, 737, 786, 29314, 262, 815, 589, 262, 288, 15017, 279, 454, 272, 454, 1432, 4523, 950, 519, 4336, 3815, 538, 513, 546, 7976, 568, 2942, 286, 1306, 606, 1383, 267, 1018, 1281, 568, 621, 1611, 547, 723, 513, 546, 7976, 3815, 540, 910, 274, 26042, 280, 454, 272, 454, 8196, 513, 3113, 4580, 547, 2203, 543, 2626, 519, 2243, 780, 9359, 609, 519, 1448, 589, 263, 273, 267, 476, 274, 264, 543, 8920, 622, 519, 1448, 676, 513, 3815, 540, 476, 275, 827, 519, 5169, 630, 271, 267, 271, 6393, 1432, 616, 519, 10974, 540, 589, 262, 799, 568, 519, 3239, 896, 713, 546, 7976, 888, 1015, 454, 272, 454, 8196, 513, 3113, 4580, 547, 2203, 543, 2626, 519, 2243, 780, 9359, 609, 519, 1448, 589, 263, 273, 267, 476, 274, 264, 543, 8920, 622, 519, 1448, 676, 513, 3815, 540, 476, 275, 827, 519, 1448, 11196, 272, 267, 476, 276, 6393, 1432, 616, 519, 10974, 540, 589, 262, 799, 568, 519, 3239, 896, 713, 546, 7976, 888, 1556, 454, 272, 454, 13706, 519, 546, 7976, 689, 519, 1966, 1657, 269, 1548, 568, 519, 6152, 7004, 602, 568, 6697, 547, 519, 546, 7976, 286, 2334, 568, 267, 1018, 568, 519, 6152, 21191, 262, 286, 3503, 707, 2626, 538, 519, 1106, 2999, 330, 31599, 285, 4586, 1321, 454, 272, 454, 2237, 513, 8086, 3948, 593, 713, 3992, 269, 2142, 2386, 547, 5581, 1018, 513, 1412, 323, 7976, 262, 568, 538, 707, 1378, 1913, 269, 589, 1434, 3948, 1058, 1118, 519, 4276, 1063, 519, 2450, 540, 519, 3239, 543, 519, 5223, 540, 519, 9883, 547, 519, 4099, 540, 546, 7976, 269, 0, 1012, 5441, 10789, 630, 277, 628, 9990, 2020, 763, 1599, 1269, 326, 3287, 21174, 8421, 3709, 321, 26507, 259, 630, 1492, 32568, 1599, 609, 3490, 1269, 321, 259, 264, 568, 519, 11201, 1599, 540, 519, 12825, 1599, 609, 3490, 1269, 321, 12101, 535, 3287, 6661, 321, 3867, 343, 4151, 634, 11708, 540, 519, 11201, 3252, 568, 513, 8086, 540, 519, 3312, 1599, 827, 519, 1899, 586, 24210, 269, 3776, 1544, 281, 476, 272, 269, 3113, 535, 3287, 264, 676, 28321, 1896, 2798, 267, 11836, 873, 609, 513, 5347, 7455, 267, 476, 273, 269, 23396, 519, 10974, 540, 519, 2798, 649, 3893, 538, 1900, 476, 272, 547, 3489, 1007, 2798, 269, 476, 274, 269, 634, 2798, 538, 630, 273, 4700, 616, 18759, 540, 519, 2798, 538, 630, 272, 4700, 827, 519, 1899, 586, 24210, 269, 1284, 949, 3113, 519, 1899, 586, 24210, 547, 9414, 713, 269, 11835, 1456, 713, 1007, 1305, 540, 2798, 267, 649, 723, 1178, 335, 1117, 575, 3287, 264, 0, 283, 19112, 521, 21683, 6889, 10059, 2517, 323, 276, 333, 343, 560, 279, 325, 745, 342, 275, 345, 17085, 3716, 12506, 14492, 270, 520, 337, 330, 3052, 604, 286, 27665, 284, 328, 288, 272, 303, 328, 272, 320, 279, 291, 344, 876, 2096, 257, 2511, 6889, 5891, 281, 333, 821, 257, 4463, 6889, 272, 257, 8700, 6889, 272, 257, 5621, 284, 3269, 29451, 692, 258, 31592, 20309, 16214, 609, 9978, 15051, 692, 1012, 21414, 7215, 585, 1022, 2596, 5106, 780, 8867, 12069, 616, 595, 298, 268, 1321, 781, 2875, 9740, 2157, 563, 21995, 4841, 20083, 547, 713, 1377, 723, 513, 9864, 17117, 540, 32563, 1702, 543, 1983, 4909, 585, 21295, 960, 563, 4263, 6103, 630, 30267, 17087, 264, 4841, 20083, 547, 713, 1377, 723, 7152, 28671, 936, 4101, 1641, 2339, 267, 1519, 1641, 2339, 1702, 267, 3498, 540, 971, 1702, 547, 1483, 8996, 3871, 267, 543, 10763, 1983, 3617, 547, 1641, 2339, 563, 28723, 4841, 20083, 547, 713, 1377, 616, 4712, 585, 1570, 602, 3340, 9120, 2773, 543, 17117, 780, 1012, 31592, 20309, 16214, 609, 9978, 15051, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 9596, 547, 946, 519, 1931, 540, 4238, 547, 6218, 10230, 7215, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 1556, 692, 1012, 10563, 486, 502, 424, 373, 502, 424, 489, 507, 422, 367, 376, 21844, 372, 364, 423, 367, 372, 29306, 364, 424, 480, 364, 692, 2421, 1733, 752, 4157, 10557, 12262, 21353, 545, 454, 8196, 519, 1931, 540, 4238, 547, 6218, 10230, 7215, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 31592, 20309, 16214, 609, 9978, 15051, 692, 2421, 700, 9461, 20307, 12262, 21353, 545, 454, 8196, 519, 1931, 540, 4238, 547, 6218, 10230, 7215, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 31592, 20309, 16214, 609, 9978, 15051, 692, 2421, 19626, 14181, 9440, 12262, 21353, 545, 454, 8196, 519, 1931, 540, 4238, 547, 6218, 10230, 7215, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 20309, 16214, 609, 15733, 540, 17773, 692, 2421, 14330, 4916, 4569, 12262, 21353, 545, 454, 24066, 10663, 10230, 543, 15821, 7215, 5473, 2472, 540, 8454, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 9061, 595, 766, 1782, 692, 2421, 8176, 324, 20831, 12262, 21353, 545, 454, 24066, 10663, 10230, 543, 15821, 7215, 5473, 2472, 540, 8454, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 20309, 16214, 609, 9978, 15051, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 8340, 856, 875, 547, 6218, 4756, 7215, 5473, 519, 2185, 2596, 4238, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 275, 454, 1892, 11473, 692, 1012, 4985, 547, 11352, 540, 15051, 692, 20779, 2970, 919, 519, 1931, 540, 5106, 596, 1246, 547, 2347, 513, 2979, 1966, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 1240, 454, 1892, 11473, 692, 1012, 9050, 4238, 609, 14559, 910, 7151, 476, 272, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 7151, 476, 272, 281, 21414, 519, 8382, 1210, 11352, 540, 15051, 692, 17809, 1938, 835, 1383, 540, 10442, 606, 4082, 1210, 519, 1931, 540, 4238, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 272, 454, 1892, 11473, 692, 1012, 9050, 4238, 609, 14559, 910, 7151, 476, 273, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 8794, 1079, 4238, 609, 2724, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 7151, 476, 273, 281, 21414, 519, 8382, 1210, 11352, 540, 15051, 692, 17809, 1938, 513, 2034, 1383, 540, 10442, 606, 4082, 1210, 519, 1931, 540, 4238, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 9050, 4238, 609, 14559, 910, 7151, 476, 274, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 10521, 5999, 1210, 9050, 15051, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 5564, 28745, 17773, 692, 9596, 547, 9062, 8454, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 272, 454, 1892, 11473, 692, 1012, 18527, 12833, 6295, 17773, 692, 7336, 1622, 875, 547, 3274, 8454, 1354, 14921, 873, 1927, 269, 898, 2488, 1079, 1806, 540, 8691, 609, 8454, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 274, 454, 1892, 11473, 692, 1012, 9050, 4238, 609, 14559, 910, 7151, 476, 275, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 19177, 4238, 1210, 513, 3349, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 9050, 4238, 609, 14559, 910, 7151, 476, 276, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 3682, 21793, 1210, 1412, 1326, 835, 1863, 7055, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 14559, 7420, 10819, 910, 7151, 476, 272, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 300, 2292, 6478, 10819, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 14559, 7420, 10819, 910, 7151, 476, 273, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 8340, 519, 1942, 262, 2262, 2042, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 14559, 7420, 10819, 910, 7151, 476, 274, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 10870, 1231, 543, 12014, 476, 272, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 14559, 7420, 10819, 910, 7151, 476, 275, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 10870, 1231, 543, 3915, 476, 273, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 11022, 3008, 594, 910, 7151, 476, 272, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 11022, 3008, 594, 910, 7151, 476, 273, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 25648, 6473, 543, 10406, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 11022, 3008, 594, 910, 7151, 476, 274, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 11022, 3008, 594, 910, 7151, 476, 275, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 6751, 291, 3008, 594, 910, 7151, 476, 272, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 6751, 291, 3008, 594, 910, 7151, 476, 273, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 3849, 1288, 267, 25513, 267, 543, 18527, 609, 9977, 12330, 454, 300, 4932 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5177, 781, 1034, 3078, 2257, 543, 2029, 786, 581, 593, 1397, 563, 763, 9576, 5980, 14400, 3163, 1401, 22128, 568, 513, 1863, 5993, 2680, 585, 8436, 540, 782, 6502, 547, 2743, 2324, 3173, 543, 1491, 851, 538, 3946, 593, 2238, 563, 1607, 1032, 267, 15875, 1382, 786, 1586, 581, 6719, 2066, 513, 1297, 540, 15225, 693, 799, 8436, 666, 12303, 3542, 1393, 938, 12084, 609, 5068, 543, 4585, 621, 3262, 1472, 519, 5722, 15798, 267, 1491, 513, 6049, 1289, 689, 519, 8262, 10854, 267, 9329, 513, 28661, 610, 2972, 513, 17178, 16536, 30413, 13447, 334, 563, 2026, 3173, 1118, 741, 3803, 21339, 267, 6276, 7931, 3266, 9575, 909, 609, 930, 540, 873, 547, 1265, 856, 1018, 789, 723, 538, 4558, 563, 5522, 2880, 711, 9735, 454, 310, 4292, 5068, 568, 10876, 538, 519, 5836, 543, 621, 568, 5739, 547, 7286, 7320, 269, 898, 568, 513, 1966, 602, 814, 5734, 519, 24657, 5781, 538, 2487, 1296, 855, 1510, 2731, 2519, 593, 519, 2407, 3390, 543, 609, 2370, 4901, 540, 3435, 3081, 519, 21081, 628, 600, 4659, 779, 3220, 661, 20891, 11709, 1530, 321, 4068, 267, 945, 568, 3056, 519, 21311, 711, 9735, 538, 938, 12084, 8858, 563, 2108, 6624, 1004, 723, 4862, 827, 519, 5318, 2127, 1141, 519, 5068, 7213, 12885, 538, 519, 1647, 540, 519, 5836, 267, 543, 519, 5961, 540, 891, 616, 5963, 26648, 269, 1809, 15029, 5068, 9170, 538, 519, 5836, 568, 513, 6161, 267, 621, 781, 1271, 602, 1004, 917, 602, 519, 5068, 2282, 5032, 6050, 3123, 519, 1034, 2800, 543, 713, 568, 1141, 649, 1058, 581, 2519, 938, 3007, 1101, 269, 3245, 26026, 8674, 9575, 538, 17787, 540, 5068, 11183, 547, 4874, 560, 344, 16867, 5536, 17527, 519, 9667, 1949, 540, 3165, 267, 5068, 3123, 513, 6024, 2619, 540, 9552, 689, 2627, 547, 13837, 331, 3233, 3034, 4263, 3220, 11709, 1530, 321, 4068, 781, 8858, 267, 8436, 786, 6749, 3059, 5068, 883, 513, 5691, 5836, 543, 2263, 875, 621, 26055, 519, 14768, 1210, 519, 21311, 3849, 337, 3424, 7317, 1357, 1907, 267, 1354, 7487, 875, 1945, 607, 21030, 6681, 607, 513, 535, 714, 5414, 4235, 11480, 666, 3132, 6634, 540, 6263, 5536, 5827, 540, 4929, 3441, 547, 7286, 8134, 563, 4913, 267, 585, 3220, 11709, 1530, 321, 4068, 267, 621, 568, 519, 5717, 1472, 1761, 3435, 646, 568, 1034, 3168, 4464, 547, 563, 29467, 568, 1100, 8988, 16886, 547, 4194, 519, 5068, 1966, 2223, 646, 8591, 269, 968, 7212, 972, 616, 513, 2039, 540, 4540, 2093, 585, 8739, 20300, 267, 3114, 267, 543, 4702, 3435, 602, 1223, 2907, 581, 4547, 538, 269, 1548, 786, 581, 2731, 4277, 585, 938, 1382, 568, 799, 540, 891, 519, 1857, 1589, 616, 1034, 14323, 267, 1271, 610, 26656, 269, 12344, 789, 666, 2097, 909, 609, 1945, 5963, 3312, 543, 5863, 286, 2913, 779, 4126, 865, 267, 1317, 649, 991, 3435, 3728, 3034, 1432, 5949, 693, 519, 8262, 10854, 888, 5194, 1796, 6770, 1927, 5177, 2818, 540, 519, 30673, 23851, 2230, 5692, 799, 9250, 538, 476, 1220, 280, 547, 7747, 519, 17184, 17196, 4282, 630, 290, 11586, 1040, 634, 15875, 2319, 267, 3366, 676, 3220, 25272, 595, 6123, 543, 7905, 12448, 808, 25377, 267, 814, 1044, 3238, 538, 26215, 908, 519, 1239, 4607, 689, 519, 9682, 1996, 519, 10066, 543, 6571, 540, 519, 22572, 547, 2333, 922, 10727, 267, 1354, 1210, 713, 1239, 547, 1353, 1312, 7404, 543, 11397, 15270, 563, 4263, 741, 1548, 5949, 693, 519, 8262, 10854, 286, 1796, 8436, 786, 581, 2111, 547, 5873, 1018, 519, 1376, 540, 519, 7122, 32131, 899, 998, 513, 23851, 3905, 1467, 6049, 267, 2263, 519, 595, 11586, 538, 5691, 4641, 543, 1451, 875, 519, 23851, 2319, 616, 7893, 543, 16208, 519, 1239, 547, 2263, 519, 5169, 543, 2104, 540, 519, 7122, 563, 17606, 779, 2141, 1390, 547, 2285, 1945, 1394, 543, 6678, 2224, 519, 1985, 5108, 827, 1018, 649, 2461, 3257, 2223, 3081, 3220, 595, 6123, 269, 968, 2171, 4126, 602, 1004, 979, 2476, 609, 713, 5863, 2856, 602, 3388, 538, 519, 7122, 8057, 689, 519, 6263, 15088, 649, 1294, 538, 519, 595, 11586, 3034, 8967, 3187, 16536, 3423, 1231, 454, 763, 1985, 15875, 11347, 693, 519, 1401, 22128, 649, 9575, 909, 609, 568, 12359, 320, 1325, 612, 663, 337, 7236, 267, 513, 2022, 12392, 689, 519, 21619, 517, 3427, 540, 5071, 7177, 269, 1261, 786, 6443, 3173, 693, 10228, 2160, 593, 30064, 3103, 543, 3623, 802, 267, 513, 1796, 3168, 693, 875, 891, 2326, 616, 26655, 519, 5137, 540, 2104, 1979, 24899, 6312, 1043, 2472, 563, 306, 3671, 619, 685, 16536, 568, 2178, 543, 13412, 609, 2189, 31954, 3601, 269, 1325, 2819, 1031, 538, 5569, 267, 1325, 612, 663, 337, 7236, 568, 29227, 891, 6949, 908, 3601, 538, 7574, 7405, 269, 4635, 13642, 2107, 321, 20151, 685, 16536, 21433, 689, 7905, 674, 761, 345, 966, 3326, 337, 987, 693, 10228, 2160, 779, 4972, 540, 25672, 1108, 543, 519, 10228, 28010, 6828, 267, 646, 814, 2919, 513, 12432, 1570, 585, 946, 538, 3423, 1231, 602, 1223, 5512, 2688, 529, 762, 1035, 24065, 923, 1282, 519, 5663, 1184, 269, 1280, 519, 14266, 1325, 612, 663, 337, 7236, 786, 581, 8744, 1524, 1079, 17178, 16536, 3423, 1231, 547, 13686, 891, 3601, 267, 607, 1134, 607, 1683, 513, 7574, 9311, 2939, 693, 835, 1448, 1282, 519, 3018, 563, 10527, 10228, 2160, 2319, 723, 1044, 513, 1390, 948, 3246, 17178, 16536, 547, 4603, 609, 2429, 713, 1788, 2223, 3081, 12359, 320, 269, 968, 296, 1745, 4378, 10696, 547, 2911, 547, 519, 1857, 827, 1250, 960, 267, 543, 594, 666, 1406, 7227, 547, 6445, 519, 20380, 267, 8978, 11623, 540, 519, 9576, 5980, 609, 519, 4992, 540, 1250, 3423, 1231, 3034, 288, 2910, 300, 4953, 11555, 12717, 3201, 3633, 454, 763, 3803, 1796, 5473, 938, 15875, 3173, 786, 1459, 519, 5767, 4681, 689, 519, 3864, 14472, 24297, 2230, 5692, 602, 568, 3695, 1290, 564, 476, 6858, 303, 547, 1265, 10881, 547, 519, 2175, 602, 11478, 950, 3047, 543, 519, 824, 10785, 4646, 269, 2201, 741, 1796, 589, 28661, 7000, 281, 14472, 24297, 543, 5845, 2801, 693, 1290, 564, 476, 6858, 303, 8436, 786, 1205, 513, 1312, 513, 3308, 543, 17725, 4663, 540, 938, 3859, 1062, 779, 1034, 4583, 4062, 540, 10760, 4672, 609, 5691, 4641, 19150, 7258, 15072, 543, 2879, 858, 2022, 11568, 13031, 519, 28661, 779, 1483, 9329, 563, 3412, 704, 658, 3744, 971, 607, 3220, 18281, 29336, 3710, 851, 540, 14472, 24297, 779, 6293, 24194, 602, 616, 7893, 519, 9357, 2213, 3154, 799, 27788, 519, 28661, 2899, 5950, 676, 7943, 18644, 519, 2627, 543, 875, 621, 25998, 609, 519, 11313, 338, 6897, 2914, 785, 685, 602, 12535, 689, 519, 3141, 563, 28317, 3650, 540, 519, 14361, 779, 3803, 2669, 4685, 883, 476, 6858, 303, 538, 5181, 649, 1616, 547, 2671, 609, 519, 1857, 930, 540, 519, 5863, 1919, 649, 723, 19927, 1282, 519, 5692, 2223, 3081, 3220, 29336, 269, 968, 5804, 12423, 1018, 621, 781, 1500, 1055, 267, 1519, 4466, 930, 3078, 1950, 5214, 6675, 267, 547, 7206, 513, 4605, 540, 1312, 519, 28661, 779, 5250, 543, 519, 2242, 621, 568, 2469, 998, 2221, 602, 948, 721, 547, 3589, 922, 10700, 2104, 3034, 763, 9576, 5980, 14400, 3163, 1401, 22128, 10741, 547, 519, 1857, 593, 11728, 476, 275, 5147, 543, 8255, 998, 547, 10732, 476, 1015, 5147, 269, 898, 568, 4371, 693, 519, 9576, 5980, 779, 22071, 538, 3844, 5507, 563, 4692, 1406, 1118, 621, 1524, 286, 3367, 10311, 689, 519, 6887, 1282, 741, 3018, 693, 519, 1401, 22128, 593, 1514, 2923, 267, 610, 1256, 2307, 873, 2055, 267, 676, 1739, 519, 814, 6255, 698, 1948, 8999, 11302, 7220, 454, 20684, 1257, 630, 1410, 6984, 6337, 610, 12449, 264, 2139, 896, 606, 21922, 9539, 517, 4467, 14293, 27691, 732, 2704, 833, 11300, 12780, 12689, 563, 21900, 657, 543, 12449, 1641, 547, 3791, 5428, 10677, 1031, 609, 10479, 610, 9736, 15875, 5441, 5507, 563, 32306, 513, 6085, 454, 7312, 6085, 949, 581, 3370, 267, 18071, 707, 2012, 607, 596, 1683, 621, 267, 8259, 596, 7662, 6382, 269, 2659, 3346, 3877, 786, 2760, 581, 3370, 269, 0, 20373, 281, 7439, 21552, 267, 3006, 5219, 547, 607, 519, 5162, 13481, 17079, 267, 568, 519, 1034, 1455, 2014, 540, 12884, 10938, 4345, 269, 25124, 568, 6353, 676, 13165, 267, 13481, 267, 543, 7181, 1928, 269, 10552, 568, 711, 2356, 1459, 269, 674, 1197, 610, 14331, 949, 849, 2049, 269, 901, 2356, 10953, 476, 1321, 547, 476, 4366, 3108, 1310, 1373, 6534, 269, 18401, 3335, 4386, 1369, 476, 272, 547, 476, 274, 2395, 269, 1290, 4124, 949, 1331, 18024, 563, 20373, 281, 634, 4576, 568, 3361, 676, 6862, 21552, 267, 4352, 2147, 10194, 12884, 10938, 4345, 10108, 949, 581, 3361, 676, 824, 8290, 269, 634, 1292, 2707, 540, 519, 3644, 568, 22454, 543, 12154, 527, 689, 7783, 1004, 267, 543, 568, 5293, 2059, 998, 1018, 568, 1572, 519, 32740, 268, 7394, 8905, 563, 20373, 281, 5623, 539, 5239, 476, 1001, 274, 11261, 540, 1985, 2689, 1107, 5130, 476, 1001, 275, 476, 277, 7439, 21552, 5583, 585, 1416, 5321, 7439, 21552, 849, 1634, 607, 519, 5162, 13481, 2068, 568, 5631, 1336, 538, 519, 454, 20373, 281, 667, 24122, 4214, 568, 910, 606, 8650, 11763, 2068, 3361, 676, 513, 7657, 643, 6400, 630, 14588, 2886, 667, 24122, 3644, 540, 519, 12593, 4469, 822, 643, 6400, 1070, 10299, 676, 513, 26433, 19498, 267, 543, 6353, 676, 15677, 267, 4049, 4745, 1928, 267, 543, 513, 16420, 2443, 21406, 849, 2736, 14752, 8611, 267, 28939, 8611, 563, 20373, 281, 16065, 538, 1416, 5321, 1590, 581, 8036, 538, 12176, 6604, 267, 23982, 267, 7020, 543, 2359, 269, 901, 2376, 568, 10483, 676, 513, 1582, 12431, 20156, 18102, 865, 596, 666, 6693, 20373, 281, 9947, 476, 2767, 267, 476, 1001, 278, 5788, 5253, 15464, 267, 3006, 1572, 1426, 13871, 4576, 267, 568, 513, 1455, 855, 28824, 2783, 3361, 676, 4189, 3536, 13572, 609, 5739, 13596, 269, 4340, 547, 519, 15544, 585, 8376, 6513, 4429, 20373, 281, 476, 272, 270, 1240, 270, 1001, 274, 476, 275, 700, 12839, 293, 24028, 11462, 26479, 2353, 17148, 18771, 2142, 5450, 3040, 2353, 2589, 1590, 581, 1007, 610, 8650, 569, 8338, 3040, 20010, 1875, 29795, 1190, 3123, 540, 4191, 543, 2589, 1058, 581, 2808, 1101, 3040, 3143, 3968, 666, 581, 1759, 593, 513, 2582, 4062, 540, 2963, 3040, 667, 343, 676, 6693, 20373, 281, 3367, 519, 5767, 2984, 689, 2817, 22127, 781, 4279, 6052, 7420, 454, 20373, 281, 476, 272, 269, 589, 2783, 610, 4576, 602, 2356, 814, 513, 4028, 12614, 540, 2589, 543, 949, 8207, 1369, 2395, 609, 610, 1510, 2126, 269, 898, 568, 519, 6587, 540, 5312, 269, 476, 273, 269, 589, 2783, 610, 4576, 602, 568, 6727, 610, 4049, 563, 20373, 281, 853, 6729, 2770, 610, 12884, 10938, 4345, 3968, 4191, 543, 2589, 1331, 15353, 267, 13481, 267, 543, 13165, 602, 16569, 585, 827, 5722, 547, 476, 1691, 2395, 269, 634, 7181, 2770, 568, 3262, 689, 1268, 547, 1268, 267, 2356, 3842, 32740, 547, 5711, 8905, 689, 4057, 1688, 2914, 4770, 610, 9882, 2553, 269, 7439, 21552, 568, 6693, 20373, 281, 674, 303, 16694, 1504, 2593, 568, 513, 4028, 1569, 267, 1448, 6361, 13282, 2564, 4704, 585, 3119, 1416, 543, 6595, 19353, 269, 29035, 538, 476, 1960, 276, 267, 713, 4015, 1631, 3568, 476, 26116, 275, 954, 15062, 539, 1888, 3817, 5258, 883, 513, 3529, 540, 476, 4029, 20614, 2835, 543, 476, 278, 2764, 11271, 563, 20373, 281, 5455, 30098, 269, 1284, 15476, 519, 10311, 5612, 593, 891, 1357, 335, 1137, 269, 1280, 519, 2347, 1592, 540, 10311, 267, 610, 547, 1820, 513, 5299, 540, 606, 9337, 267, 1294, 1520, 2381, 8562, 983, 338, 269, 1403, 596, 946, 891, 4808, 267, 621, 568, 707, 5539, 547, 1118, 2386, 602, 596, 616, 1210, 519, 1034, 909, 3562, 15082, 4528, 563, 20373, 281, 634, 12876, 325, 1314, 6019, 2657, 4972, 568, 7487, 606, 2333, 538, 2665, 540, 16063, 4576, 538, 519, 2146, 543, 568, 22348, 1004, 547, 3251, 1753, 950, 7210, 543, 585, 476, 2190, 3108, 1310, 3478, 1732, 267, 543, 547, 2259, 1434, 1688, 31290, 547, 2061, 2417, 3262, 563, 20373, 281, 18467, 547, 16473, 5253, 13871, 7439, 21552, 4934, 3691, 6545, 630, 24922, 264, 16473, 532, 7439, 21552, 4934, 3691, 6545, 630, 24922, 264, 6435, 16473, 519, 24619, 540, 7439, 21552, 1299, 11162, 5346, 543, 2598, 26529, 585, 7439, 21552, 630, 5319, 267, 1975, 267, 2605, 994, 20373, 281, 22548, 2305, 15048, 281, 15509, 543, 670, 2975 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 815, 11713, 339, 269, 1067, 613, 19906, 272, 267, 476, 271, 267, 2855, 273, 267, 476, 271, 994, 13765, 8266, 8443, 3910, 2855, 272, 2020, 1551, 272, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 1551, 273, 815, 1496, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 2639, 339, 269, 1067, 613, 19906, 272, 267, 476, 274, 267, 2855, 273, 267, 476, 275, 994, 13765, 8266, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 3910, 2855, 272, 2020, 1551, 272, 815, 1496, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 1551, 273, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 339, 269, 1067, 613, 19906, 272, 267, 476, 275, 267, 2855, 273, 267, 476, 274, 994, 13765, 8266, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 3910, 2855, 272, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1957, 729, 835, 540, 519, 1101, 602, 594, 4076, 1224, 538, 513, 1888, 609, 799, 594, 6557, 14542, 1141, 594, 1185, 606, 8362, 2352, 942, 1739, 519, 16166, 267, 799, 729, 513, 2731, 3209, 1995, 269, 589, 2603, 540, 519, 5220, 1185, 803, 605, 14620, 6053, 8757, 585, 519, 605, 14620, 658, 8675, 2789, 2053, 256, 1809, 621, 729, 513, 1360, 1134, 27787, 1957, 609, 513, 2312, 2239, 269, 0, 763, 21011, 6611, 8154, 281, 589, 20048, 1108, 454, 2421, 25909, 667, 269, 661, 4135, 601, 267, 693, 620, 563, 21812, 281, 8331, 476, 1220, 278, 454, 763, 12225, 1108, 540, 519, 1646, 540, 519, 21011, 14361, 543, 519, 16264, 5692, 2488, 1808, 13006, 1344, 8720, 513, 2647, 2039, 540, 4755, 902, 1312, 2047, 543, 18549, 1644, 547, 519, 1982, 269, 901, 5763, 540, 1570, 1058, 581, 540, 1871, 547, 12206, 543, 1866, 5461, 538, 519, 2621, 540, 519, 1390, 7045, 563, 12709, 2985, 29250, 454, 12606, 610, 1224, 621, 2228, 585, 1863, 1934, 912, 2421, 9478, 681, 269, 16422, 1499, 910, 8331, 454, 22498, 814, 1500, 1082, 7418, 547, 513, 3376, 2039, 540, 8484, 1519, 2489, 18229, 267, 25881, 267, 543, 647, 17367, 545, 3560, 338, 269, 901, 1433, 6257, 519, 2152, 602, 1590, 581, 2808, 950, 22151, 9408, 1446, 2164, 547, 2407, 8397, 3498, 563, 2421, 31187, 589, 269, 13669, 599, 910, 8331, 3778, 10406, 454, 1607, 1433, 568, 606, 2606, 1576, 538, 7098, 19392, 269, 898, 2488, 811, 982, 513, 2482, 2006, 781, 2126, 540, 519, 1641, 855, 711, 519, 1469, 607, 6026, 538, 1082, 1367, 6030, 593, 519, 2852, 1377, 269, 634, 1267, 568, 513, 3810, 12007, 267, 11609, 1305, 540, 4967, 563, 2421, 20537, 327, 631, 2426, 19681, 910, 769, 24728, 454, 763, 1433, 593, 19666, 6472, 281, 1374, 543, 1646, 267, 772, 16787, 18330, 5108, 267, 30313, 2740, 21484, 641, 1562, 267, 8184, 1852, 1062, 11938, 267, 10995, 19666, 6472, 267, 14628, 5250, 8184, 267, 12623, 13240, 29964, 532, 1166, 6260, 8184, 267, 543, 1454, 811, 563, 2421, 15182, 731, 13391, 1009, 578, 910, 7043, 332, 753, 267, 5682, 454, 763, 960, 6663, 693, 519, 10868, 540, 3741, 540, 8184, 689, 267, 543, 519, 14745, 540, 519, 946, 540, 267, 2143, 1344, 593, 7098, 517, 2246, 923, 1631, 2139, 689, 1082, 2959, 269, 634, 1641, 540, 7098, 19392, 568, 3592, 28025, 1759, 593, 4603, 269, 0, 303, 340, 15300, 22656, 1635, 281, 9253, 20811, 22216, 852, 267, 2441, 2088, 667, 10005, 267, 543, 15917, 2917, 3223, 603, 454, 1692, 2475, 3893, 3238, 3040, 2475, 22983, 11553, 5147, 476, 2918, 267, 476, 6245, 279, 3040, 3794, 537, 31569, 17991, 693, 5053, 3625, 5264, 3040, 2475, 5833, 11553, 796, 4186, 6479, 3040, 595, 17660, 547, 2475, 676, 8050, 538, 5463, 269, 476, 6245, 279, 3040, 3487, 540, 519, 15521, 540, 8303, 454, 9617, 2305, 5288, 269, 7763, 1161, 3807, 5874, 7763, 1161, 24344, 6728, 585, 10617, 4721, 547, 1201, 3241, 31621, 585, 9341, 6683, 12434, 2871, 5875, 4315, 4527, 540, 2475, 17189, 4229, 538, 12144, 3040, 22893, 856, 540, 6710, 3040, 10435, 6009, 3040, 2475, 25997, 547, 4228, 22030, 3040, 674, 3881, 11553, 1058, 711, 581, 16271, 547, 5053, 3765, 22364, 454, 3725, 9146, 540, 2199, 2551, 3040, 22893, 8385, 5551, 2407, 7115, 3040, 28088, 539, 538, 11553, 15114, 538, 3013, 3040, 11553, 20888, 2475, 4718, 607, 6454, 936, 5053, 4341, 3040, 11553, 27025, 30829, 609, 2475, 16132, 543, 4341, 3040, 4006, 24914, 267, 6710, 267, 543, 2686, 3463, 3040, 3509, 1869, 5551, 7115, 6466, 930, 17896, 681, 15092, 4941, 1533, 3125, 454, 29806, 28088, 3040, 808, 821, 4537, 2378, 549, 628, 2920, 2813, 9291, 540, 7126, 3040, 476, 274, 8371, 540, 2229, 3040, 16393, 1631, 6443, 2475, 8136, 3040, 24918, 17896, 22656, 568, 606, 1271, 4108, 543, 17189, 3490, 3040, 19004, 8057, 3040, 6182, 5896, 1318, 547, 8908, 1378, 11156, 3040, 17896, 729, 29064, 607, 11884, 2404, 607, 513, 2475, 1455, 17314, 454, 310, 699, 3527, 6225, 286, 3040, 12878, 2082, 1857, 1153, 1062, 3040, 2494, 3042, 2229, 18083, 3040, 3204, 4327, 960, 2175, 11486, 16742, 19455, 5121, 3040, 5398, 1568, 630, 14683, 1811, 264, 3040, 9484, 541, 730, 5939, 543, 1533, 7060, 268, 3909, 10892, 454, 8266, 540, 3718, 24764, 3040, 834, 300, 2355, 540, 519, 12144, 7256, 1299, 6816, 540, 17896, 22656, 1701, 12144, 11205, 3429, 12020, 282, 17896, 22656, 20121, 1588, 11205, 3429, 1773, 22395, 269, 5680, 269, 476, 5881, 4239, 269, 476, 1001, 271, 269, 2999, 10674, 2517, 4178, 6983, 541, 11194, 680, 8911, 2593, 270, 8364, 11194, 2173, 777, 21867, 20101, 3040, 834, 303, 340, 15300, 681, 15092, 28161, 772, 2529, 269, 22893, 267, 3657, 5589, 745, 1243, 585, 2782, 20306, 677, 2443, 3778, 2593, 901, 4303, 538, 3778, 2443, 476, 274, 270, 273, 270, 4489, 278, 1701, 3778, 2593, 2443, 3778, 17214, 5272, 4303, 2443, 1977, 1299, 2622, 3778, 269, 5680, 269, 476, 5400, 4239, 269, 476, 1001, 271, 269, 2999, 10674, 2517, 4178, 269, 20931, 2593, 270, 10472, 6377, 2987, 3620, 626, 800, 9706, 340, 15300, 268, 878, 753, 1532, 22877, 268, 639, 2275, 527, 714, 839, 268, 732, 29627, 745, 1243, 16519, 21351, 3887, 742, 677, 20101, 3040, 834, 28049, 12677, 2782, 630, 8967, 664, 268, 18197, 2276, 264, 4534, 27429, 6732, 15610, 1701, 15610, 910, 27429, 6732, 15610, 269, 5680, 269, 476, 1015, 4239, 269, 476, 1001, 271, 269, 2999, 10674, 2517, 4178, 12500, 761, 24628, 2593, 27582, 289, 29051, 14121, 8084, 270, 4649, 279, 25484, 13478, 20725, 12677, 8862, 541, 20101, 0, 15703, 267, 855, 711, 782, 267, 540, 519, 1480, 1395, 16438, 4689, 12489, 1031, 24802, 547, 2061, 2550, 689, 4742, 16094, 2192, 689, 5046, 268, 866, 949, 711, 581, 8825, 1996, 519, 522, 32342, 14583, 1631, 27789, 2066, 519, 2136, 2276, 267, 3173, 4080, 3967, 269, 476, 866, 538, 519, 4760, 7186, 6925, 563, 763, 8047, 1353, 267, 3366, 676, 3173, 693, 6115, 2160, 3427, 540, 6925, 538, 853, 269, 8402, 267, 16713, 267, 7318, 2947, 17193, 10659, 1519, 24888, 12489, 4362, 693, 966, 6387, 321, 2830, 2160, 6481, 4741, 602, 13604, 941, 20979, 676, 8330, 571, 313, 523, 29132, 543, 799, 941, 17101, 585, 6595, 946, 538, 2550, 2063, 3923, 563, 15703, 12489, 267, 1519, 1346, 538, 4791, 946, 676, 8426, 13700, 542, 267, 3204, 10273, 517, 543, 18379, 700, 11035, 267, 4625, 4503, 519, 2702, 547, 9243, 1125, 519, 522, 32342, 14583, 538, 1591, 2528, 267, 6466, 519, 12489, 4362, 693, 966, 9331, 290, 1185, 513, 4389, 9243, 1944, 2702, 267, 543, 606, 17193, 2919, 676, 5164, 30911, 729, 30194, 4299, 267, 519, 1353, 1336, 563, 2108, 302, 32342, 1965, 7870, 6284, 676, 1896, 540, 519, 1395, 16438, 4689, 12489, 602, 616, 1373, 1031, 585, 3797, 2223, 1767, 6276, 15867, 933, 12789, 1421, 11022, 267, 8689, 540, 519, 966, 6387, 321, 2830, 28404, 4741, 267, 4171, 2319, 4362, 519, 1395, 16438, 4689, 12489, 2663, 20979, 676, 8330, 571, 313, 523, 29132, 883, 513, 1279, 19840, 532, 17193, 4999, 1572, 5345, 639, 18988, 563, 293, 6136, 267, 519, 24888, 17193, 540, 5164, 30911, 779, 521, 582, 22201, 574, 629, 267, 968, 663, 519, 605, 29091, 9471, 12489, 538, 5345, 639, 18988, 11677, 8101, 1498, 4389, 2534, 2223, 1767, 15867, 933, 267, 513, 1071, 10461, 540, 519, 1957, 609, 966, 9331, 290, 1382, 8284, 590, 996, 2098, 739, 267, 1912, 6185, 269, 968, 6546, 568, 1434, 3377, 267, 2094, 649, 1869, 723, 513, 2547, 835, 17193, 3075, 649, 666, 946, 585, 1142, 540, 519, 23053, 267, 6604, 610, 3797, 3034, 7197, 540, 519, 1395, 16438, 4689, 12489, 1031, 547, 2061, 4049, 4576, 689, 5046, 268, 866, 616, 13950, 676, 32326, 1102, 16272, 269, 5345, 639, 18988, 4867, 568, 519, 1152, 17193, 4999, 2016, 676, 703, 1090, 31100, 13297, 547, 2149, 796, 17126, 539, 1004, 689, 5046, 268, 866, 563, 18128, 639, 18988, 568, 17101, 1152, 585, 1004, 945, 616, 711, 4867, 7783, 609, 519, 5046, 268, 866, 3644, 543, 945, 616, 6375, 665, 20234, 668, 2213, 1317, 540, 2564, 2175, 610, 2126, 585, 4713, 1519, 2860, 610, 945, 723, 513, 1686, 540, 513, 4049, 8801, 5114, 547, 513, 5046, 268, 866, 6669, 563, 763, 1699, 1353, 729, 3366, 676, 7812, 27339, 267, 11022, 267, 1912, 6185, 1421, 513, 3056, 4274, 538, 10194, 31630, 693, 6115, 2160, 3427, 540, 6925, 269, 634, 2530, 540, 9243, 1944, 2702, 568, 1813, 547, 519, 811, 982, 476, 1789, 13592, 538, 519, 522, 32342, 968, 4944, 833, 892, 3940, 267, 519, 17193, 3077, 267, 593, 519, 2627, 540, 519, 3644, 563, 763, 2530, 540, 7409, 7480, 2534, 538, 519, 1353, 568, 5812, 609, 519, 8343, 602, 17193, 6114, 6383, 1310, 12674, 610, 2067, 3968, 849, 6336, 8101, 7409, 7480, 2534, 1996, 522, 32342, 269, 2334, 4466, 949, 2491, 538, 851, 519, 4473, 538, 31916, 5563, 3361, 676, 519, 522, 32342, 14583, 538, 1004, 945, 723, 5892, 1044, 18764, 563, 763, 4797, 8446, 543, 946, 540, 17618, 543, 1494, 1836, 9243, 1944, 1395, 16438, 4689, 12489, 602, 3077, 519, 1034, 3810, 24721, 543, 2547, 2693, 547, 4573, 622, 13980, 540, 519, 21782, 3940, 616, 2877, 547, 2149, 1996, 522, 32342, 543, 2104, 14726, 267, 519, 3173, 11943, 563, 13126, 281, 3367, 9509, 9137, 0, 291, 9233, 13173, 930, 2178, 2564, 5383, 269, 901, 568, 519, 1259, 2519, 593, 513, 2915, 267, 26804, 267, 610, 824, 13442, 666, 4217, 609, 10970, 11868, 25339, 618, 543, 11552, 553, 1465, 267, 2539, 2604, 267, 543, 2417, 1020, 707, 2295, 8171, 563, 7197, 2915, 1004, 616, 2312, 827, 519, 5401, 1642, 2074, 602, 13173, 18836, 532, 741, 2729, 547, 2427, 330, 1157, 7068, 269, 769, 1022, 2013, 267, 513, 9645, 2603, 540, 721, 3251, 17399, 656, 827, 519, 2168, 543, 3929, 9716, 602, 666, 11338, 979, 609, 519, 10508, 540, 524, 3291, 1782, 909, 547, 513, 27967, 13959, 269, 898, 779, 607, 540, 3735, 602, 8039, 723, 3323, 547, 4603, 958, 8495, 519, 5383, 540, 519, 1480, 2275, 29516, 6125, 563, 291, 9233, 723, 2919, 547, 2490, 856, 547, 581, 7920, 569, 32615, 547, 1004, 543, 938, 2932, 543, 4606, 269, 17268, 267, 585, 3236, 267, 666, 10146, 513, 1713, 1297, 540, 519, 1913, 649, 946, 269, 1717, 267, 789, 2461, 19599, 1732, 693, 21264, 532, 938, 6073, 540, 6340, 267, 1875, 31646, 2792, 267, 543, 20517, 269, 5015, 267, 899, 1022, 1390, 1480, 13959, 267, 513, 32344, 2915, 786, 8495, 707, 4064, 547, 2268, 707, 13730, 1533, 543, 3801, 547, 1205, 1018, 596, 2461, 3206, 543, 18468, 563, 291, 9233, 267, 3226, 5243, 543, 535, 3894, 267, 666, 27298, 2604, 267, 11552, 553, 1465, 267, 543, 14264, 3273, 344, 267, 8897, 632, 20287, 267, 1489, 3635, 543, 1187, 2000, 8221, 2470, 267, 543, 1256, 960, 593, 707, 9025, 8171, 269, 29760, 593, 513, 13442, 666, 4217, 19920, 609, 3395, 909, 10930, 543, 811, 6422, 269, 17268, 11338, 2285, 1713, 11505, 547, 811, 19023, 6738, 13522, 269, 9320, 538, 1880, 267, 2705, 267, 513, 2915, 666, 1039, 9758, 1025, 1170, 543, 19727, 24071, 2648, 547, 707, 1272, 563, 4407, 519, 5013, 6166, 602, 2043, 609, 5243, 5781, 1995, 811, 29810, 2564, 5383, 982, 1346, 1510, 267, 513, 2915, 3085, 1406, 991, 547, 581, 513, 2915, 610, 513, 26804, 269, 589, 536, 22324, 1223, 581, 1390, 14322, 596, 2461, 936, 6213, 547, 1114, 7068, 610, 723, 11658, 2230, 2943, 693, 519, 1482, 942, 991, 513, 27967, 13959, 547, 524, 3291, 548, 609, 269, 20002, 666, 7668, 1514, 2792, 543, 4217, 609, 5329, 707, 2634, 8325, 14322, 596, 2461, 513, 811, 3964, 6738, 5346, 269, 10965, 1389, 267, 20641, 267, 543, 1114, 20641, 666, 1118, 585, 10477, 2828, 269, 769, 1022, 2680, 267, 8384, 3165, 538, 606, 16983, 666, 4217, 609, 1447, 2287, 4887, 2604, 543, 16715, 707, 26470, 2557, 563, 22137, 723, 3254, 602, 912, 268, 10960, 1004, 616, 1447, 20916, 547, 1995, 519, 2192, 2360, 540, 530, 4958, 3481, 1145, 982, 1346, 1510, 5243, 563, 268, 15706, 609, 5243, 723, 513, 2539, 13942, 538, 1253, 7675, 6381, 982, 1346, 1510, 5243, 269, 2290, 7634, 1256, 4362, 602, 950, 2043, 609, 8589, 13119, 3576, 593, 5243, 689, 606, 28357, 267, 741, 30057, 8833, 17379, 9247, 1369, 2947, 3275, 563, 268, 29892, 609, 513, 2915, 267, 26804, 267, 610, 824, 2915, 666, 6318, 2157, 540, 22515, 543, 22006, 267, 799, 616, 9602, 543, 7938, 785, 563, 268, 13928, 1004, 723, 2539, 9761, 6219, 543, 8501, 2157, 630, 338, 793, 338, 540, 18337, 4576 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28231, 269, 1261, 602, 521, 3298, 547, 1010, 25796, 2470, 267, 543, 11815, 5809, 561, 755, 267, 610, 1285, 541, 823, 267, 610, 1193, 1057, 267, 786, 23366, 28231, 607, 646, 521, 3298, 269, 634, 7556, 786, 2099, 519, 2707, 689, 799, 621, 3357, 269, 634, 1152, 3364, 547, 581, 2944, 568, 547, 5884, 547, 519, 9409, 2470, 269, 2913, 2441, 28231, 519, 1267, 540, 621, 269, 2913, 972, 581, 1945, 1434, 521, 1144, 538, 519, 4677, 543, 711, 9409, 269, 1403, 972, 616, 1079, 3771, 341, 3949, 2427, 676, 2427, 1169, 16027, 6487, 602, 519, 9409, 786, 1205, 6619, 269, 634, 4516, 555, 16824, 786, 2141, 1332, 5488, 982, 519, 10286, 269, 634, 6079, 540, 9409, 568, 513, 13617, 539, 6079, 269, 634, 555, 16824, 786, 979, 20991, 982, 519, 10568, 269, 898, 814, 1524, 344, 12209, 543, 2371, 3294, 6385, 269, 634, 2898, 540, 1715, 10215, 729, 12630, 538, 1614, 1296, 676, 519, 8857, 577, 555, 16824, 269, 2368, 835, 4682, 856, 972, 543, 729, 561, 2158, 727, 1510, 1010, 5065, 2030, 267, 543, 2366, 1753, 585, 513, 6079, 540, 621, 269, 1403, 729, 2366, 547, 1864, 538, 513, 4484, 910, 1175, 835, 6079, 910, 543, 538, 1614, 1296, 942, 621, 1185, 3262, 936, 519, 2898, 6532, 269, 634, 5452, 6926, 342, 10876, 269, 3502, 865, 609, 519, 10568, 282, 621, 1281, 711, 979, 538, 602, 1259, 269, 2913, 721, 267, 1287, 267, 581, 6297, 602, 519, 6079, 12630, 538, 519, 9997, 568, 835, 540, 1272, 543, 5168, 267, 543, 1287, 519, 7556, 556, 9464, 786, 581, 1272, 18163, 563, 2171, 1451, 849, 519, 22979, 540, 519, 1267, 269, 1284, 616, 711, 2141, 8600, 519, 3037, 543, 521, 12976, 519, 6079, 269, 1284, 616, 711, 2141, 2469, 8521, 543, 649, 9429, 267, 12946, 10475, 6079, 282, 855, 649, 616, 8969, 1652, 547, 2097, 1586, 609, 556, 14765, 6005, 267, 8744, 938, 1352, 2314, 609, 721, 269, 634, 9393, 2006, 568, 711, 2141, 7996, 609, 1279, 9639, 585, 519, 10475, 5613, 540, 519, 3618, 269, 1261, 568, 711, 15868, 547, 547, 559, 2141, 538, 642, 664, 269, 2311, 2063, 646, 1281, 13498, 519, 1274, 543, 519, 2407, 8970, 538, 519, 1274, 269, 2311, 2063, 519, 530, 30368, 2132, 17078, 523, 547, 519, 6095, 1676, 269, 1284, 4927, 28231, 952, 649, 25861, 711, 269, 634, 19980, 548, 568, 6297, 547, 2161, 713, 269, 1261, 6645, 721, 281, 834, 1432, 29639, 513, 812, 30889, 996, 602, 4927, 646, 849, 28231, 282, 257, 855, 646, 8591, 267, 834, 6826, 711, 649, 776, 538, 649, 776, 538, 1134, 1673, 21749, 267, 585, 538, 1813, 4005, 649, 4927, 28231, 952, 649, 25861, 711, 1701, 594, 3494, 519, 547, 2812, 543, 19001, 540, 8938, 1296, 3516, 616, 711, 4503, 563, 2171, 949, 711, 2943, 1294, 519, 1267, 540, 519, 4074, 543, 15093, 267, 855, 538, 1813, 942, 789, 786, 581, 1336, 538, 5898, 543, 18710, 269, 594, 993, 2386, 519, 2648, 596, 723, 2016, 267, 519, 19807, 596, 723, 3254, 267, 519, 9639, 267, 543, 31926, 267, 543, 17246, 30970, 267, 543, 11755, 786, 15983, 7703, 513, 3638, 7556, 269, 634, 3659, 596, 1279, 547, 3142, 547, 2441, 949, 20549, 547, 581, 11028, 4290, 539, 547, 13924, 269, 1261, 949, 1747, 1010, 1378, 1582, 268, 3286, 2305, 538, 519, 1259, 269, 634, 2295, 949, 3100, 1360, 2182, 543, 4411, 543, 519, 2898, 960, 1360, 17246, 27570, 269, 8550, 2247, 269, 3245, 513, 544, 16244, 781, 1688, 9274, 540, 12266, 10568, 723, 1044, 3144, 1310, 789, 723, 561, 664, 972, 1079, 8536, 1296, 267, 543, 723, 1044, 12630, 267, 543, 3976, 723, 26857, 513, 3638, 7556, 269, 2991, 8938, 5553, 267, 602, 799, 8604, 4666, 538, 5527, 814, 6738, 12743, 584, 5050, 569, 538, 606, 2296, 4677, 269, 634, 7484, 540, 4411, 1216, 949, 3100, 547, 581, 4503, 267, 855, 621, 568, 711, 269, 2659, 19001, 543, 3646, 949, 3100, 547, 581, 4503, 267, 855, 789, 616, 711, 563, 5475, 2072, 789, 786, 2097, 1394, 547, 596, 513, 4627, 19507, 5310, 1310, 596, 723, 16618, 873, 269, 594, 7281, 539, 585, 513, 812, 2899, 585, 1296, 267, 543, 950, 693, 2063, 594, 5433, 3592, 899, 4758, 909, 267, 835, 1554, 646, 3357, 547, 1250, 5604, 547, 581, 7281, 539, 609, 269, 1284, 798, 711, 917, 875, 519, 960, 568, 2469, 593, 269, 2142, 540, 1434, 17869, 269, 1403, 596, 941, 547, 2030, 606, 15250, 731, 540, 4054, 538, 8419, 267, 1032, 1310, 1032, 1131, 979, 676, 543, 972, 1131, 3100, 547, 581, 1152, 513, 7556, 540, 3762, 282, 855, 519, 7556, 1131, 2097, 18562, 269, 12315, 2696, 267, 942, 269, 634, 2164, 616, 2324, 2933, 856, 267, 543, 676, 543, 676, 649, 4927, 1294, 873, 269, 5384, 568, 2877, 585, 519, 1646, 540, 1169, 1434, 1267, 269, 1703, 1590, 581, 519, 6079, 6066, 543, 519, 4832, 1354, 519, 7556, 269, 1403, 596, 2119, 547, 3196, 519, 7556, 596, 786, 3614, 675, 621, 269, 634, 1919, 596, 7281, 585, 543, 3494, 585, 786, 15983, 2097, 267, 855, 972, 949, 581, 5933, 538, 741, 1646, 269, 11565, 13924, 585, 873, 269, 634, 9393, 2006, 814, 1279, 9639, 281, 834, 6826, 9493, 849, 3461, 282, 588, 28344, 707, 12271, 281, 585, 519, 4947, 540, 519, 7083, 2721, 996, 562, 662, 4799, 763, 7556, 568, 513, 942, 540, 18009, 8864, 269, 3973, 519, 4829, 543, 10286, 616, 4628, 2919, 267, 1312, 538, 2450, 543, 2597, 269, 5384, 814, 10917, 1229, 519, 3679, 540, 519, 3039, 4829, 269, 898, 814, 1044, 544, 3641, 539, 543, 21352, 539, 676, 519, 22856, 543, 519, 3002, 540, 519, 4832, 269, 634, 3141, 814, 512, 842, 539, 621, 883, 3638, 4778, 267, 543, 693, 2063, 621, 568, 22691, 543, 4712, 547, 2887, 883, 519, 1688, 269, 1924, 4168, 1272, 11129, 547, 581, 269, 1703, 616, 1082, 1919, 538, 1272, 602, 991, 547, 581, 544, 3641, 539, 543, 18009, 2989, 269, 3509, 10271, 723, 15250, 1841, 2407, 540, 4829, 267, 855, 789, 616, 782, 3039, 267, 543, 8325, 547, 519, 6492, 269, 1703, 568, 1454, 972, 267, 855, 621, 568, 711, 22691, 269, 1703, 568, 513, 1390, 4308, 538, 873, 602, 568, 1434, 267, 855, 621, 568, 18106, 267, 543, 8325, 267, 543, 11877, 269, 1684, 596, 917, 1018, 621, 568, 547, 723, 930, 835, 2097, 909, 547, 596, 543, 1118, 596, 1745, 689, 519, 3346, 609, 741, 6891, 602, 596, 723, 1044, 4189, 11877, 13212, 888, 22818, 1945, 4422, 4636, 538, 707, 6469, 1272, 267, 543, 596, 1205, 1166, 584, 3072, 267, 543, 3444, 267, 543, 6336, 707, 6015, 538, 2696, 267, 543, 1287, 267, 540, 1576, 267, 707, 4168, 7772, 269, 1452, 1919, 3132, 26845, 543, 782, 5686, 540, 3765, 2044, 269, 1703, 616, 1082, 1919, 1554, 1310, 1554, 596, 616, 20994, 585, 269, 1411, 616, 711, 899, 6653, 561, 639, 4109, 13212, 543, 22691, 890, 2851, 269, 898, 11129, 547, 581, 22229, 543, 8645, 782, 519, 1259, 2059, 269, 1411, 917, 596, 616, 711, 22691, 543, 544, 3641, 267, 543, 596, 3112, 1831, 865, 676, 3843, 269, 1411, 3112, 3142, 519, 29284, 538, 282, 621, 1590, 581, 530, 3754, 856, 689, 1369, 563, 2171, 616, 547, 1459, 547, 1866, 711, 1152, 519, 1919, 602, 616, 9237, 543, 540, 1434, 1867, 267, 855, 849, 1346, 1919, 602, 616, 17681, 543, 6653, 269, 1215, 1281, 2696, 798, 713, 538, 2470, 286, 1261, 15920, 519, 3905, 3141, 543, 519, 4764, 2390, 519, 4829, 269, 1358, 616, 7683, 538, 519, 4832, 3002, 269, 1358, 949, 711, 899, 519, 3141, 267, 543, 2119, 547, 12404, 2476, 689, 621, 267, 855, 602, 568, 1018, 18009, 839, 873, 269, 9894, 596, 2479, 4584, 930, 15708, 1055, 513, 4224, 267, 1141, 789, 723, 1044, 14084, 538, 519, 3905, 3141, 2394, 789, 941, 6653, 607, 9932, 286, 3973, 723, 596, 8068, 930, 10271, 4171, 1272, 8604, 547, 581, 7683, 538, 519, 4832, 3002, 267, 543, 723, 596, 8068, 875, 891, 3843, 2833, 616, 1818, 873, 6653, 543, 9543, 888, 1432, 1131, 789, 581, 4502, 1510, 519, 3141, 543, 519, 4764, 269, 898, 568, 891, 1919, 602, 616, 18009, 2287, 4168, 1272, 269, 898, 568, 18009, 2287, 267, 1932, 267, 538, 5933, 269, 3502, 782, 519, 7556, 568, 4712, 593, 519, 1101, 540, 4873, 267, 610, 540, 5147, 267, 610, 4864, 267, 610, 5181, 269, 769, 5239, 519, 3735, 7556, 540, 13212, 568, 10356, 538, 269, 1924, 782, 519, 4832, 1279, 519, 7556, 16569, 269, 4935, 267, 621, 1058, 581, 849, 538, 4168, 1272, 269, 634, 22691, 4829, 786, 711, 782, 2408, 693, 2899, 269, 2368, 540, 621, 5526, 1310, 1279, 1296, 540, 9015, 543, 4693, 269, 898, 18009, 839, 538, 5933, 607, 1281, 519, 2067, 4829, 269, 2904, 2696, 2285, 721, 9639, 538, 7996, 585, 519, 15657, 540, 930, 540, 621, 563, 3719, 972, 1058, 581, 1945, 22691, 1169, 1032, 269, 1284, 1058, 711, 581, 12946, 3039, 13212, 782, 519, 942, 267, 547, 1118, 1004, 7210, 540, 26601, 5028, 538, 5437, 269, 1403, 519, 3141, 814, 1044, 26124, 1524, 2620, 883, 707, 2295, 267, 621, 1058, 3132, 20649, 1144, 612, 972, 269, 1703, 1058, 581, 1945, 22691, 538, 596, 782, 519, 942, 267, 4352, 519, 29659, 5613, 786, 2408, 693, 519, 1439, 540, 519, 1032, 269, 769, 21157, 693, 519, 21649, 540, 21741, 1716, 8163, 267, 782, 519, 5613, 941, 10356, 538, 269, 634, 2407, 1145, 540, 519, 1032, 781, 7556, 729, 538, 519, 6095, 1676, 267, 543, 1287, 609, 8964, 543, 556, 14765, 6005, 519, 1004, 4682, 909, 547, 13243, 547, 1832, 519, 21649, 563, 763, 1554, 786, 2097, 267, 11537, 267, 950, 649, 267, 1932, 267, 4927, 581, 8052, 1117, 538, 3043, 3775, 525, 267, 543, 267, 609, 27374, 538, 938, 3946, 267, 649, 4927, 2743, 538, 519, 24656, 569, 13243, 547, 1832, 519, 21649, 540, 21741, 1716, 8163, 269, 2311, 602, 942, 621, 4927, 581, 1767, 540, 3571, 28099, 14855, 543, 1350, 528, 1881, 25598, 281, 834, 5445, 4927, 14000, 1100, 811, 267, 9444, 19818, 1022, 811, 267, 9444, 4927, 519, 3141, 1769, 593, 873, 267, 6862, 1022, 3002, 1701, 3657, 596, 3478, 4712, 585, 713, 32219, 7556, 1554, 286, 3657, 596, 3478, 22691, 267, 543, 13035, 267, 543, 3461, 267, 543, 4619, 16124, 286, 3657, 596, 3478, 1945, 12306, 267, 1022, 6011, 267, 538, 707, 4168, 1915, 286, 3657, 596, 3478, 3964, 543, 6378, 3942, 676, 3942, 286, 898, 568, 1018, 2696, 26770, 540, 596, 269, 3245, 586, 16093, 6531, 4906, 267, 13924, 1345, 267, 786, 2408, 930, 1554, 547, 5531, 538, 519, 7556, 540, 519, 5783, 269, 898, 568, 711, 3039, 13212, 267, 15983, 267, 596, 2503, 13924, 547, 2322, 538, 3571, 6095, 1676, 269, 3657, 596, 7996, 585, 3571, 17729, 267, 5462, 547, 1577, 519, 3141, 543, 519, 15420, 723, 741, 5497, 1198, 538, 6653, 2287, 543, 18009, 2287, 596, 543, 1818, 596, 4712, 585, 602, 25552, 1554, 888, 1607, 942, 540, 556, 12686, 568, 547, 581, 513, 942, 540, 9668, 849, 269, 634, 669, 3530, 568, 547, 581, 9141, 2476, 689, 519, 10568, 269, 634, 20549, 568, 547, 581, 16207, 2476, 269, 901, 4605, 6645, 721, 540, 2300, 1707, 607, 1134, 607, 3824, 1430, 532, 269, 1703, 616, 1079, 3771, 341, 3949, 3254, 721, 1934, 609, 513, 1360, 2312, 3017, 1063, 873, 269, 634, 2063, 616, 547, 581, 10356, 607, 1134, 607, 519, 25598, 540, 519, 7083, 269, 634, 1101, 4605, 568, 540, 519, 7556, 540, 519, 3618, 267, 543, 713, 568, 10356, 676, 519, 12312, 540, 2494, 267, 945, 4422, 8521, 609, 3571, 31724, 543, 5531, 338, 538, 519, 22691, 7556, 269, 634, 2034, 835, 568, 519, 21305, 540, 519, 3618, 799, 568, 10356, 711, 676, 519, 7083, 4906, 267, 855, 676, 519, 21425, 540, 10385, 269, 634, 12312, 540, 2494, 568, 711, 2366, 547, 798, 713, 960, 282, 621, 568, 1152, 606, 21425, 945, 1281, 621, 269, 1548, 568, 2944, 609, 519, 21305, 286, 898, 568, 711, 3144, 909, 609, 519, 1390, 2754, 540, 3043, 268, 549, 5523, 25598, 267, 855, 621, 568, 16207, 883, 519, 1390, 9174, 1790, 816, 540, 519, 32716, 540, 2696, 267, 543, 519, 10816, 956, 540, 519, 9640, 616, 838, 13593, 609, 519, 1973, 585, 519, 2230, 540, 476, 8182, 271, 9663, 14075, 338, 269, 901, 568, 519, 7556, 540, 10385, 519, 3824, 1430, 532, 540, 9409, 799, 519, 23109, 616, 547, 1491, 856, 689, 519, 1158, 563, 5472, 945, 2648, 711, 519, 5168, 267, 855 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17779, 607, 513, 14323, 4244, 7778, 547, 4998, 1143, 269, 1924, 1946, 568, 621, 1271, 585, 1523, 5159, 267, 3059, 5159, 267, 543, 4888, 312, 5159, 547, 1353, 17779, 286, 1284, 4076, 2854, 2143, 8039, 593, 1312, 519, 4137, 3126, 543, 519, 14169, 3126, 865, 2638, 856, 1346, 4930, 952, 596, 723, 1100, 2856, 875, 547, 1376, 609, 17779, 543, 1522, 1616, 930, 3381, 6030, 585, 5583, 269, 769, 824, 1913, 267, 649, 2461, 538, 519, 2259, 540, 2870, 1919, 602, 1810, 1406, 2291, 269, 31327, 519, 25954, 540, 17779, 538, 519, 3308, 6575, 267, 519, 3203, 20622, 531, 4741, 630, 2752, 290, 1070, 513, 476, 26341, 18154, 7565, 274, 1070, 1875, 17416, 267, 3872, 5748, 267, 14747, 519, 4102, 2228, 9754, 6131, 547, 1483, 626, 1148, 1152, 543, 2882, 1568, 676, 519, 2025, 18544, 267, 476, 866, 628, 2540, 267, 543, 4207, 1483, 1235, 607, 1134, 607, 4930, 267, 5022, 543, 824, 2228, 2200, 269, 1411, 666, 723, 782, 519, 8247, 538, 519, 1158, 855, 596, 991, 519, 2565, 1983, 547, 1246, 998, 593, 707, 8247, 269, 634, 957, 540, 5137, 568, 711, 606, 2653, 2816, 267, 855, 607, 10648, 267, 835, 1590, 3802, 602, 5386, 1899, 1063, 1932, 2370, 543, 1932, 1454, 269, 898, 6766, 6764, 1833, 1143, 910, 1294, 267, 585, 3236, 267, 30527, 547, 6764, 1833, 1143, 630, 8146, 271, 268, 5002, 271, 264, 910, 543, 1896, 824, 2413, 1148, 6163, 267, 971, 607, 7377, 5025, 4135, 269, 16440, 1250, 2012, 267, 4757, 267, 543, 3896, 538, 713, 11422, 585, 519, 1985, 942, 594, 6085, 269, 898, 779, 1187, 547, 4603, 543, 1404, 1472, 543, 6445, 17250, 9248, 609, 2259, 12400, 269, 18266, 2968, 1226, 730, 609, 13597, 543, 5609, 1356, 640, 267, 519, 6305, 18144, 540, 519, 7464, 626, 7376, 945, 15653, 519, 533, 517, 322, 604, 540, 2866, 543, 4121, 4480, 269, 12253, 23205, 3279, 2324, 593, 513, 10853, 7206, 269, 1403, 707, 8247, 568, 547, 1711, 7493, 1148, 267, 596, 1869, 723, 547, 4487, 519, 824, 2565, 1983, 1317, 972, 781, 1100, 1259, 585, 18825, 547, 917, 952, 596, 2965, 1565, 8259, 789, 666, 1294, 519, 3364, 596, 2811, 2324, 593, 267, 543, 707, 8247, 568, 547, 6474, 602, 3364, 269, 6723, 13852, 3298, 910, 1715, 3840, 267, 476, 4489, 272, 20876, 519, 11957, 540, 1656, 596, 1522, 581, 14281, 875, 3533, 596, 2087, 2899, 596, 1118, 17779, 851, 540, 707, 2834, 2259, 269, 634, 7376, 2824, 338, 267, 2242, 267, 543, 2855, 5190, 3877, 547, 2769, 519, 2856, 646, 6499, 547, 1118, 2312, 563, 763, 7376, 1292, 1599, 568, 547, 4766, 8308, 1018, 568, 4767, 998, 519, 12823, 563, 276, 269, 1924, 607, 606, 1383, 267, 952, 596, 1616, 547, 1711, 1945, 4625, 7493, 596, 2811, 2469, 547, 723, 606, 2856, 538, 707, 2212, 540, 1018, 596, 1616, 269, 1879, 596, 2811, 3168, 585, 606, 2069, 267, 621, 781, 1271, 547, 581, 2111, 547, 2268, 707, 1983, 1759, 593, 1018, 596, 2811, 3257, 1317, 519, 1641, 2339, 568, 3362, 6444, 269, 1656, 519, 1259, 602, 596, 917, 568, 602, 741, 960, 568, 5812, 689, 7206, 519, 7206, 269, 589, 4190, 1148, 1106, 9356, 519, 7954, 543, 1931, 540, 519, 7122, 269, 30527, 568, 519, 5730, 267, 2143, 543, 4977, 6041, 538, 1148, 540, 519, 3308, 5920, 540, 10207, 543, 3615, 269, 968, 2414, 519, 1655, 540, 1250, 1702, 267, 594, 1810, 1405, 3494, 621, 781, 2009, 547, 1451, 1148, 1510, 1565, 17779, 1701, 269, 30527, 3069, 538, 3486, 1894, 568, 519, 1034, 8789, 1153, 540, 2219, 1310, 2622, 2782, 4083, 543, 2394, 1631, 621, 814, 10083, 538, 519, 1459, 3486, 6214, 269, 2755, 519, 5396, 949, 3006, 2408, 10169, 18935, 1242, 267, 17779, 11394, 547, 1459, 5396, 607, 789, 1413, 538, 1483, 1272, 269, 901, 3085, 1405, 1611, 602, 596, 991, 547, 946, 17779, 2663, 593, 269, 1452, 5159, 1174, 4010, 1018, 789, 2811, 3257, 855, 789, 4769, 1405, 1451, 602, 998, 7493, 7206, 269, 1306, 649, 723, 513, 1793, 25830, 538, 7849, 1143, 268, 2048, 7982, 547, 7186, 2048, 1107, 538, 30527, 649, 723, 513, 1793, 25830, 268, 8072, 12085, 2864, 589, 20840, 566, 540, 7327, 983, 11957, 269, 12830, 5515, 538, 519, 7464, 626, 1148, 3350, 941, 29775, 1511, 3938, 321, 564, 267, 12968, 648, 20707, 636, 1512, 267, 543, 14639, 6363, 3757, 1723, 529, 6660, 2280, 269, 1411, 2461, 971, 513, 1434, 7376, 12175, 2060, 3223, 523, 17607, 540, 519, 5295, 540, 3689, 6764, 11306, 269, 30527, 3459, 607, 513, 25992, 3350, 538, 1148, 538, 519, 22733, 2540, 269, 14639, 6363, 3757, 9809, 12251, 6660, 2280, 630, 23210, 281, 1496, 332, 559, 32723, 22049, 5239, 476, 275, 267, 476, 8687, 275, 12882, 5130, 476, 736, 267, 476, 6942, 276, 264, 729, 513, 3943, 18048, 543, 835, 540, 519, 27428, 540, 519, 15016, 714, 517, 1153, 538, 6917, 5333, 269, 30527, 568, 782, 827, 23578, 547, 519, 2596, 267, 10853, 1106, 543, 1818, 621, 960, 1101, 269, 634, 962, 690, 328, 269, 2413, 1148, 769, 5375, 7206, 281, 3203, 543, 7082, 1143, 281, 3943, 543, 7969, 1148, 538, 519, 476, 4198, 271, 338, 634, 3943, 715, 537, 557, 879, 681, 2946, 531, 626, 324, 12462, 6124, 7464, 626, 14615, 1895, 729, 540, 3844, 2956, 267, 922, 1034, 7986, 2818, 1373, 962, 1407, 21890, 514, 267, 1488, 2006, 630, 30265, 663, 22513, 663, 14162, 1070, 14639, 570, 532, 826, 569, 267, 543, 12253, 1975, 334, 518, 686, 269, 10266, 1562, 945, 941, 2047, 6766, 676, 713, 1974, 1331, 654, 1231, 869, 25264, 543, 7338, 661, 752, 1231, 267, 4171, 1148, 729, 519, 1101, 547, 14773, 519, 4473, 540, 1977, 30527, 269, 30527, 568, 827, 13156, 519, 1158, 538, 2474, 540, 1018, 513, 1268, 2833, 998, 741, 12823, 269, 30527, 21256, 538, 11685, 547, 21434, 1143, 267, 799, 1185, 13856, 3943, 3332, 543, 1148, 2094, 519, 3735, 476, 1240, 628, 2540, 269, 1411, 1616, 707, 960, 547, 581, 1759, 593, 707, 8247, 269, 3371, 616, 930, 4191, 547, 1413, 585, 269, 1411, 2461, 2469, 547, 1616, 547, 2482, 513, 5748, 543, 1628, 19756, 6821, 1354, 596, 1589, 827, 24095, 532, 267, 5862, 4778, 267, 543, 7450, 5679, 984, 6163, 269, 30527, 1148, 18791, 543, 554, 2158, 519, 1983, 12882, 22935, 1452, 616, 782, 3029, 540, 17779, 799, 2832, 547, 7001, 519, 1641, 538, 513, 10853, 2511, 267, 543, 7654, 547, 9446, 519, 1641, 538, 513, 1259, 602, 19306, 519, 19178, 540, 1272, 269, 1656, 865, 538, 1931, 547, 1118, 1148, 630, 31347, 621, 781, 5409, 3146, 16117, 610, 1256, 693, 519, 2484, 1439, 540, 519, 8552, 267, 2407, 1532, 31500, 27727, 264, 596, 723, 547, 723, 606, 8247, 269, 634, 5548, 6510, 4032, 28312, 540, 25828, 781, 661, 671, 652, 667, 5922, 269, 1452, 1806, 616, 689, 6144, 320, 543, 689, 2959, 593, 519, 1357, 269, 901, 568, 1317, 621, 779, 513, 2603, 9875, 547, 2721, 1945, 689, 707, 2212, 982, 1945, 602, 779, 1318, 538, 4395, 540, 596, 269, 769, 1148, 267, 713, 18922, 547, 26841, 540, 3615, 607, 789, 616, 269, 28270, 323, 565, 332, 752, 1654, 1775, 30755, 548, 516, 751, 9383, 604, 2357, 1889, 330, 3331, 376, 29290, 714, 323, 597, 269, 4495, 596, 4076, 27058, 25718, 1919, 689, 1272, 596, 666, 1376, 547, 1404, 609, 873, 269, 5084, 23615, 2316, 306, 4932, 19006, 281, 11957, 540, 30527, 538, 17323, 256, 634, 7376, 18466, 32109, 538, 1010, 1148, 960, 267, 12882, 763, 20520, 540, 14088, 5889, 9356, 2390, 519, 4332, 540, 14088, 630, 7049, 8412, 476, 273, 281, 278, 264, 1247, 9001, 4162, 540, 11193, 1148, 267, 971, 607, 17779, 267, 543, 5133, 267, 543, 568, 22566, 540, 11193, 5274, 1143, 998, 922, 15819, 540, 519, 5137, 540, 812, 269, 30527, 568, 16561, 519, 2168, 4641, 936, 11509, 16431, 269, 2334, 779, 9985, 5386, 543, 596, 3580, 1294, 891, 4773, 538, 15882, 1472, 519, 1158, 269, 898, 568, 3294, 513, 24182, 538, 1148, 1686, 267, 585, 621, 568, 513, 4686, 3978, 2126, 540, 519, 2956, 543, 4644, 540, 19511, 17779, 269, 2353, 10367, 616, 16922, 540, 1614, 3001, 2694, 281, 596, 723, 1871, 267, 2681, 267, 543, 6316, 269, 898, 729, 513, 1463, 8086, 540, 1018, 1185, 1044, 4767, 538, 519, 1158, 998, 14485, 602, 11292, 9458, 513, 3020, 547, 1272, 2070, 269, 1411, 3580, 1205, 1732, 693, 5373, 13514, 543, 3615, 596, 4076, 2760, 2938, 1354, 1317, 596, 3580, 723, 513, 9522, 540, 17779, 1995, 547, 2721, 689, 269, 16071, 267, 538, 13830, 519, 1570, 267, 519, 7252, 540, 4641, 267, 666, 3111, 547, 726, 3518, 891, 17909, 269, 1280, 1272, 5373, 2259, 594, 4481, 4363, 519, 4137, 1576, 543, 519, 14169, 1576, 269, 6056, 540, 10853, 23609, 267, 8916, 267, 543, 1869, 1272, 10367, 269, 634, 717, 14211, 619, 30310, 281, 14639, 6363, 3757, 9809, 12251, 6660, 2280, 3487, 540, 513, 834, 13700, 559, 9609, 257, 540, 10367, 14120, 5333, 781, 6917, 3954, 714, 839, 267, 634, 717, 14211, 619, 5713, 607, 1945, 540, 513, 21522, 20805, 656, 547, 3938, 321, 564, 781, 634, 12942, 6601, 5474, 630, 7277, 280, 268, 2004, 1040, 594, 569, 320, 3115, 514, 2968, 519, 1034, 9976, 18048, 540, 1010, 942, 538, 6576, 585, 1010, 25091, 26007, 540, 32066, 5389, 543, 1970, 11665, 4074, 269, 3203, 540, 519, 546, 27681, 17779, 3942, 7436, 519, 5912, 1063, 1148, 607, 17033, 12572, 547, 1148, 607, 513, 3860, 17752, 269, 1809, 547, 798, 602, 1134, 596, 4076, 3893, 547, 917, 1018, 596, 2461, 3257, 269, 898, 779, 711, 606, 21903, 267, 610, 968, 718, 538, 938, 8186, 1848, 634, 11957, 540, 22895, 11208, 15760, 808, 7495, 312, 8946, 6865, 4916, 2177, 795, 1328, 628, 15106, 691, 2593, 4989, 476, 277, 540, 713, 9490, 1032, 267, 476, 1708, 271, 267, 594, 4121, 540, 519, 8429, 540, 1250, 21927, 267, 7376, 12253, 661, 5682, 324, 269, 30527, 3203, 17959, 543, 8466, 11957, 281, 634, 1158, 540, 519, 4571, 268, 866, 628, 2540, 729, 835, 540, 7920, 1689, 267, 7487, 519, 4417, 540, 22713, 267, 519, 6694, 3684, 267, 543, 519, 2333, 538, 5095, 3001, 689, 6917, 2127, 883, 519, 4872, 269, 1809, 17779, 568, 1419, 519, 1565, 2666, 585, 5159, 540, 1022, 5420, 2094, 8026, 689, 1272, 568, 519, 1883, 547, 4742, 5963, 9952, 269, 634, 6587, 540, 17779, 568, 535, 1023, 8864, 267, 14810, 267, 610, 535, 752, 2044, 269, 634, 11957, 540, 22895, 11208, 269, 7102, 7853, 666, 12235, 5862, 693, 513, 17198, 855, 519, 1267, 568, 4351, 269, 5637, 6030, 960, 689, 2661, 3631, 543, 1312, 1152, 4001, 17779, 865, 891, 616, 899, 18849, 3786, 2866, 6030, 547, 2087, 707, 1983, 3728, 269, 594, 786, 630, 272, 264, 1865, 476, 1556, 4128, 1946, 594, 1589, 6138, 568, 1271, 267, 630, 273, 264, 1683, 2963, 602, 6138, 2640, 1004, 267, 543, 630, 274, 264, 9718, 7464, 1235, 15653, 21434, 1143, 267, 799, 1185, 13856, 3943, 3332, 543, 1148, 2094, 519, 2038, 476, 866, 628, 2540, 269, 4989, 476, 277, 540, 713, 9490, 1032, 267, 476, 1708, 271, 267, 594, 4121, 540, 519, 8429, 540, 1250, 21927, 267, 7376, 12253, 661, 5682, 324, 269, 4107, 14810, 7068, 2671, 930, 10486, 609, 1483, 1272, 7068, 269, 898, 666, 581, 2938, 602, 585, 17779, 972, 568, 7954, 540, 7634, 607, 1134, 607, 513, 7954, 540, 7744, 269, 22216, 7815, 8350, 900, 680, 12251, 5330, 656, 20221, 11957, 540, 17779, 1148, 522, 340, 2377, 879, 7815, 1147, 682, 7132, 6264, 15292, 2946, 632, 28479, 766, 14193, 544, 27475, 513, 11355, 7132, 632, 476, 1240, 6634, 546, 262, 6374, 12251, 269, 634, 17779, 540, 713, 24575, 568, 711, 1813, 547, 1018, 568, 13556, 267, 855, 875, 621, 568, 13556, 269, 769, 713, 2631, 267, 30527, 10630, 513, 11636, 543, 3810, 9565, 6521, 538, 519, 4644, 543, 1599, 540, 1148, 538, 2489, 267, 1519, 3332, 607, 1134, 607, 5386, 1148, 269, 769, 3059, 1148, 649, 6108, 513, 2603, 540, 942, 1818, 909, 28531, 10600, 267, 7068, 267, 543, 3197, 269, 4634, 952, 519, 3337, 568, 7494, 4389, 610, 7494, 27105, 267, 519, 7376, 4440, 3884, 1406, 4946, 6091, 543, 7633, 538, 4025, 1141, 789, 1810, 1406, 2965, 2291, 1765, 684, 1652, 789, 2461, 2870, 513, 1007, 13442, 267, 855, 1256, 1287, 621, 779, 1869, 593, 3483, 609, 1702, 540, 26715, 3877, 269, 6423, 811, 540, 1200, 960, 693, 8940, 269, 629, 580, 841, 745, 1375, 2593, 269, 634, 1148, 1974, 568, 3833, 3982, 689, 519, 8168, 31012, 30527 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18828, 19544, 23637, 9230, 320, 267, 536, 21875, 825, 1820, 18828, 269, 26383, 14067, 871, 9230, 320, 267, 536, 4297, 9239, 3698, 5044, 306, 5902, 10031, 825, 513, 815, 5286, 269, 28776, 263, 1015, 2608, 5286, 20179, 20179, 9230, 273, 267, 476, 1321, 21875, 825, 1820, 5416, 2020, 825, 1820, 18828, 19544, 20889, 5416, 267, 476, 277, 4917, 825, 1820, 18828, 18192, 20889, 5416, 267, 476, 273, 264, 9239, 3698, 5044, 290, 4878, 10031, 825, 513, 815, 5286, 30784, 1052, 263, 1321, 994, 825, 513, 17482, 815, 476, 274, 267, 476, 275, 454, 825, 1820, 5416, 2020, 825, 1948, 2070, 610, 13719, 5299, 454, 825, 536, 815, 513, 454, 825, 1820, 6357, 568, 513, 994, 825, 1820, 2891, 573, 540, 513, 281, 4939, 338, 257, 4939, 7329, 5416, 4917, 825, 1820, 2891, 573, 540, 536, 281, 4939, 338, 257, 4939, 7329, 6357, 11723, 825, 536, 314, 271, 267, 476, 274, 316, 815, 476, 1911, 454, 825, 1820, 2891, 320, 24097, 333, 24001, 2668, 8971, 5416, 4917, 825, 1820, 2891, 321, 24097, 333, 24001, 2668, 8971, 6357, 11723, 825, 524, 815, 513, 269, 1613, 4590, 825, 1820, 6262, 568, 513, 994, 825, 1820, 2891, 573, 540, 524, 281, 4939, 338, 257, 4939, 7329, 6262, 11723, 825, 1948, 2620, 5299, 454, 825, 5169, 815, 5286, 30784, 1052, 263, 1015, 267, 476, 736, 1040, 31412, 263, 273, 267, 476, 276, 994, 825, 1820, 2891, 10594, 514, 2232, 281, 4939, 338, 257, 4939, 7329, 263, 10594, 514, 4917, 825, 5299, 815, 5169, 6983, 4878, 4590, 825, 1820, 2891, 32476, 2232, 281, 4939, 338, 257, 4939, 7329, 6262, 4878, 4917, 825, 1820, 6262, 4878, 994, 825, 1820, 2891, 32476, 568, 5169, 15079, 2668, 8971, 6262, 4878, 568, 5169, 4917, 825, 1820, 263, 2891, 32476, 12500, 848, 568, 5169, 15079, 2668, 8971, 6262, 4878, 12500, 848, 568, 5169, 4297, 2020, 825, 5299, 314, 271, 267, 476, 275, 316, 815, 476, 1911, 454, 825, 1820, 263, 10594, 514, 994, 825, 1820, 6262, 4878, 9239, 3698, 5044, 5715, 823, 10031, 825, 513, 815, 5286, 30784, 1052, 263, 1321, 994, 825, 1820, 5416, 994, 825, 1775, 815, 5286, 15126, 8443, 271, 267, 476, 274, 267, 476, 275, 267, 476, 276, 7481, 825, 1820, 5416, 5157, 20285, 825, 513, 17482, 815, 476, 273, 267, 476, 277, 454, 825, 1820, 5416, 994, 825, 1775, 815, 5286, 15126, 31912, 271, 267, 476, 271, 3910, 1496, 272, 267, 476, 272, 316, 7481, 825, 795, 815, 5286, 15126, 31912, 274, 267, 476, 275, 3910, 1496, 274, 267, 476, 275, 316, 7481, 825, 1820, 5416, 5157, 267, 795, 316, 9239, 3698, 4238, 273, 10031, 825, 23288, 825, 2415, 2381, 454, 825, 2415, 10946, 454, 825, 524, 4548, 636, 454, 825, 886, 454, 825, 1611, 543, 3328, 454, 825, 1875, 14706, 454, 825, 4990, 454, 825, 1098, 2821, 281, 22614, 509, 358, 421, 502, 369, 420, 377, 361, 419, 377, 362, 454, 825, 17157, 1384, 825, 2433, 8873, 912, 825, 23288, 825, 513, 815, 5286, 30784, 1052, 263, 1691, 267, 476, 273, 267, 910, 272, 1040, 31412, 9230, 274, 267, 476, 275, 4917, 825, 1820, 5416, 2020, 825, 1820, 2891, 31006, 27962, 30317, 27381, 510, 27381, 351, 19764, 499, 281, 14307, 513, 27769, 10946, 15405, 825, 1820, 2891, 31006, 16533, 493, 30317, 27381, 510, 27381, 351, 19764, 499, 281, 14307, 513, 27769, 2381, 15405, 825, 1820, 2891, 27381, 363, 20693, 510, 29219, 281, 14307, 513, 6983, 4548, 636, 15405, 825, 1820, 2891, 27381, 363, 26266, 362, 29219, 281, 1422, 333, 2580, 5286, 6155, 858, 5416, 4297, 476, 1948, 476, 12571, 492, 22047, 16583, 493, 31308, 375, 31176, 491, 22047, 454, 825, 1820, 2891, 23946, 367, 417, 507, 485, 29219, 281, 14307, 5286, 32557, 5416, 4917, 825, 1820, 2891, 23946, 367, 417, 507, 485, 29219, 281, 14307, 5286, 18502, 2071, 5416, 4917, 825, 1820, 2891, 26406, 496, 31365, 281, 1422, 333, 2580, 5286, 31699, 5416, 4917, 825, 1820, 2891, 420, 377, 361, 419, 377, 362, 24097, 333, 2580, 5286, 6745, 4920, 2821, 5416, 4917, 825, 1820, 2891, 13213, 498, 18713, 508, 30837, 508, 421, 505, 370, 30317, 27381, 510, 12916, 491, 419, 377, 362, 24097, 333, 14307, 5286, 8542, 517, 14706, 5416, 4917, 825, 1820, 2891, 743, 760, 281, 263, 32517, 507, 419, 499, 503, 276, 427, 377, 508, 280, 24724, 315, 333, 2580, 513, 17085, 760, 263, 276, 267, 476, 280, 264, 9239, 3698, 4994, 20779, 334, 273, 10031, 825, 513, 815, 5286, 30784, 1052, 263, 274, 267, 476, 1428, 1040, 31412, 263, 274, 267, 476, 275, 994, 825, 1948, 476, 272, 31428, 782, 2609, 454, 825, 1820, 5416, 2020, 825, 1948, 476, 273, 31428, 2582, 3693, 454, 825, 1820, 5416, 314, 271, 267, 476, 271, 7481, 825, 1820, 5416, 314, 271, 6012, 272, 20285, 825, 1948, 476, 274, 31428, 1142, 4737, 454, 825, 585, 4737, 538, 513, 912, 1038, 1820, 21405, 2020, 825, 1948, 476, 275, 31428, 1142, 6241, 454, 825, 585, 6241, 538, 513, 11053, 281, 476, 1948, 5469, 519, 570, 568, 26627, 27664, 2336, 1038, 1820, 263, 26383, 2020, 825, 1948, 476, 276, 31428, 1142, 6221, 454, 825, 585, 6221, 538, 513, 269, 29788, 281, 1948, 513, 269, 29788, 568, 835, 21021, 5044, 609, 606, 12055, 1807, 454, 1038, 1820, 263, 14403, 9239, 3698, 19467, 20779, 334, 272, 10031, 825, 23288, 825, 476, 272, 18192, 23637, 454, 825, 476, 273, 19544, 23637, 454, 825, 476, 274, 269, 2908, 9471, 454, 825, 476, 275, 26769, 13906, 523, 622, 692, 825, 2433, 8873, 912, 825, 23288, 825, 513, 815, 5286, 15126, 8443, 272, 267, 476, 273, 267, 476, 274, 7481, 825, 536, 815, 5286, 15126, 8443, 275, 267, 476, 276, 267, 476, 277, 20285, 825, 1820, 5416, 267, 513, 17482, 994, 825, 1820, 6357, 267, 536, 17482, 2020, 825, 524, 815, 5286, 18192, 23637, 9230, 320, 267, 536, 4297, 11434, 1948, 7299, 10518, 454, 825, 1820, 6262, 267, 524, 17482, 2020, 825, 513, 272, 815, 513, 18020, 5286, 269, 2908, 9471, 316, 11434, 1948, 8880, 10518, 454, 825, 536, 272, 815, 536, 18020, 5286, 269, 2908, 9471, 2639, 825, 546, 815, 5286, 19544, 23637, 9230, 320, 272, 267, 536, 272, 4917, 825, 1820, 5560, 2020, 825, 1820, 18828, 26769, 13906, 523, 622, 9230, 320, 18020, 5286, 269, 2908, 9471, 3910, 536, 18020, 5286, 269, 2908, 9471, 25818, 7852, 284, 272, 264, 9239, 3698, 8237, 20779, 334, 272, 10031, 825, 513, 815, 5286, 30784, 1052, 263, 1321, 1040, 31412, 263, 274, 267, 476, 275, 994, 825, 1820, 5416, 2020, 825, 1948, 476, 272, 21858, 19794, 263, 21671, 8237, 8449, 994, 825, 1820, 18828, 21858, 5416, 267, 476, 273, 267, 7852, 284, 272, 4297, 567, 1948, 649, 3893, 1079, 1496, 274, 6012, 273, 316, 14249, 454, 825, 1948, 1820, 18828, 18192, 20889, 5416, 267, 476, 273, 11723, 825, 1948, 476, 273, 21858, 23276, 263, 21671, 8237, 8449, 994, 825, 1820, 18828, 21858, 5416, 267, 476, 274, 4297, 567, 1948, 649, 3893, 1614, 1496, 272, 6012, 275, 316, 14249, 454, 825, 1948, 1820, 18828, 19544, 20889, 5416, 267, 476, 274, 11723, 825, 1948, 476, 274, 21858, 693, 786, 454, 825, 1820, 18828, 15126, 5334, 5902, 5416, 267, 476, 274, 267, 7852, 284, 272, 264, 9239, 20889, 20779, 334, 272, 10797, 19638, 19638, 19638, 0, 6112, 6936, 912, 825, 4781, 815, 3403, 2891, 1692, 547, 1820, 1412, 31435, 1158, 262, 286, 315, 333, 4840, 25639, 834, 6358, 476, 476, 271, 281, 835, 1899, 14826, 257, 3097, 25639, 834, 6358, 3436, 271, 281, 1079, 1915, 693, 835, 1899, 14826, 4840, 25639, 834, 6358, 2999, 271, 281, 7299, 14826, 5602, 825, 952, 16216, 1998, 263, 641, 5406, 264, 2652, 476, 271, 2187, 1038, 1820, 2891, 15916, 2622, 5602, 825, 8640, 16216, 1998, 263, 641, 5406, 264, 3436, 476, 271, 2187, 1038, 1820, 2891, 3891, 5602, 1038, 1820, 2891, 961, 5602, 1038, 1820, 2891, 334, 19515, 1038, 1820, 2891, 310, 334, 5602, 1038, 1820, 2891, 337, 331, 5602, 1038, 1820, 3488, 323, 5073, 825, 3116, 912, 1038, 1820, 3488, 295, 262, 266, 257, 315, 928, 257, 266, 257, 315, 333, 331, 257, 266, 257, 315, 333, 331, 257, 266, 257, 315, 7224, 257, 266, 257, 315, 333, 257, 266, 257, 315, 333, 310, 257, 266, 257, 315, 7224, 257, 266, 257, 315, 333, 337, 257, 266, 257, 315, 333, 331, 257, 266, 257, 315, 526, 14826, 8442, 0, 5228, 7954, 269, 845, 3121, 1104, 16754, 7531, 5035, 1955, 18680, 263, 13528, 3121, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 535, 272, 281, 16754, 267, 535, 273, 281, 16754, 2187, 1038, 1582, 8807, 272, 815, 535, 272, 454, 1038, 1582, 8807, 273, 815, 535, 273, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 834, 2891, 1341, 1193, 4311, 8807, 272, 264, 1341, 834, 9847, 834, 1341, 1193, 4311, 8807, 273, 264, 1341, 834, 264, 5016, 825, 1219, 6218, 4311, 267, 2203, 267, 1533, 264, 9847, 536, 944, 912, 1038, 952, 4311, 8807, 272, 4318, 1998, 10663, 263, 16347, 267, 1533, 15892, 2018, 2132, 1582, 8807, 273, 4318, 1998, 10663, 263, 16347, 267, 1533, 994, 1038, 3116, 912, 2018, 2132, 6936, 454, 0, 3698, 1820, 14067, 520, 2524, 5416, 8217, 2187, 825, 1219, 1611, 10857, 2187, 1038, 2132, 2040, 10857, 8358, 6352, 10857, 2020, 825, 1219, 11667, 10857, 2187, 1038, 561, 31699, 4590, 1038, 1647, 815, 7003, 10857, 264, 2260, 273, 454, 1038, 952, 7003, 10857, 264, 260, 273, 2652, 476, 271, 912, 2018, 2132, 630, 331, 314, 332, 1497, 27994, 331, 314, 332, 1497, 266, 272, 8079, 270, 273, 454, 1038, 3116, 912, 2018, 2132, 561, 314, 332, 1497, 266, 272, 2639, 27030, 825, 1219, 7154, 10857, 2187, 1038, 1293, 815, 31460, 1038, 2164, 815, 11713, 1038, 585, 1714, 332, 538, 561, 912, 2018, 952, 1714, 332, 538, 1293, 912, 3546, 1293, 314, 601, 332, 316, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 1293, 314, 601, 332, 316, 815, 476, 272, 454, 1038, 3193, 8548, 1712, 815, 3193, 6262, 870, 269, 11161, 15405, 1038, 585, 737, 267, 341, 538, 1293, 29096, 10031, 2018, 952, 642, 2652, 3193, 8548, 1712, 912, 3546, 2164, 6834, 1496, 330, 2639, 1038, 2132, 2164, 454, 1038, 1948, 3063, 960, 547, 6023, 2789, 12331, 22562, 825, 1948, 29323, 622, 960, 883, 16866, 3252, 454, 825, 1820, 2891, 13614, 281, 834, 1341, 1193, 263, 11743, 5416, 8217, 4297, 1341, 27719, 333, 5602, 825, 1820, 2891, 8469, 1014, 281, 834, 1341, 1193, 263, 4364, 1014, 5416, 8217, 4297, 1341, 27719, 333, 5602, 825, 1820, 2891, 300, 1712, 4433, 2567, 834, 1341, 1193, 9852, 1712, 5416, 8217, 4297, 1341, 27719, 333, 257, 9239, 0, 258, 589, 533, 836, 1090, 568, 513, 4845, 602, 3568, 1169, 2582, 4484, 540, 519, 9904, 454, 258, 693, 2547, 2899, 269, 1280, 1383, 267, 519, 4845, 454, 258, 834, 763, 2656, 6960, 16541, 26357, 936, 519, 27823, 2915, 257, 568, 513, 533, 836, 1090, 2676, 258, 1317, 621, 3096, 519, 5022, 589, 19053, 693, 2547, 2899, 630, 13826, 568, 13061, 1916, 16482, 258, 9717, 513, 5569, 267, 3713, 2436, 610, 711, 621, 568, 513, 533, 836, 1090, 563, 258, 17776, 6936, 952, 621, 568, 267, 8771, 952, 711, 269, 22695, 648, 2338, 543, 18685, 780, 258, 1219, 568, 7272, 836, 1090, 4433, 2187, 258, 672, 2132, 1305, 30415, 269, 869, 27664, 264, 10922, 1305, 4433, 31573, 31156, 5814, 5569, 454, 5228, 10070, 1104, 22388, 7531, 3698, 568, 7272, 836, 1090, 4433, 2187, 825, 2132, 711, 630, 290, 3300, 3488, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 10807, 910, 22388, 4433, 31573, 28829, 9239, 258, 9904, 815, 1412, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 7055, 258, 533, 836, 1090, 815, 834, 763, 2656, 267, 6960, 16541, 26357, 936, 519, 27823, 2915, 30882, 258, 524, 815, 22388, 263, 531, 8224, 264, 910, 22388, 9638, 836, 1090, 31573, 15405, 258, 1820, 6262, 2020, 2745, 30415, 269, 30913, 328, 318, 869, 27664, 2020, 258, 533, 836, 1090, 815, 834, 763, 2656, 267, 6960, 16541, 26357, 936, 519, 27823, 2915, 30882, 258, 4530, 20596, 318, 3225, 1023, 263, 529, 7272, 836, 1090, 9638, 836, 1090, 1070, 6936, 994, 0, 258, 9717, 606, 5044, 267, 1265, 519, 8870, 602, 5526, 606, 9642, 1297, 540, 2053, 563, 16482, 258, 1703, 786, 2141, 581, 1152, 835, 8870, 602, 5526, 606, 9642, 1297, 540, 2053, 563, 5228, 10070, 1104, 22388, 7531, 258, 1219, 1265, 318, 527, 263, 572, 336, 2187, 258, 672, 585, 737, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 811, 18136, 563, 8469, 21778, 10326, 10830, 454, 10214, 1279, 1310, 950, 1101, 519, 5493, 1030, 864, 14612, 519, 18774, 19835, 666, 27267, 267, 7258, 519, 3504, 13009, 267, 2282, 519, 21895, 540, 519, 27513, 540, 519, 2362, 10239, 593, 519, 5045, 2427, 540, 519, 666, 27267, 2282, 715, 574, 16967, 267, 11542, 513, 12566, 3529, 2390, 4171, 17873, 519, 12075, 941, 530, 2632, 547, 1655, 578, 21933, 725, 538, 519, 1106, 540, 536, 3298, 267, 21985, 267, 544, 11484, 28913, 267, 32675, 267, 19273, 610, 10269, 269, 634, 3043, 812, 267, 14322, 602, 519, 5065, 7551, 547, 1045, 5803, 519, 1434, 786, 540, 519, 4279, 13336, 267, 20093, 821, 3585, 1572, 621, 513, 968, 8469, 21778, 10326, 1848, 634, 2025, 631, 1638, 534, 4155, 729, 9112, 936, 519, 6925, 10326, 14629, 269, 4706, 8905, 2482, 1896, 4627, 3952, 689, 13009, 543, 3529, 269, 13488, 532, 1101, 519, 4155, 538, 476, 5908, 276, 267, 543, 2348, 4862, 1945, 540, 519, 10828, 267, 998, 7279, 267, 1250, 3993, 15336, 519, 4095, 13009, 547, 1294, 519, 3529, 269, 594, 993, 5143, 1250, 4064, 267, 855, 1079, 1296, 9907, 1287, 267, 849, 581, 18988, 519, 4583, 12566, 269, 898, 1590, 581, 3020, 267, 2943, 11214, 1250, 3965, 540, 519, 10071, 5526, 547, 1404, 803, 7301, 269, 4634, 513, 6925, 10326, 949, 711, 16641, 11014, 519, 30635, 1137, 540, 942, 543, 7088, 269, 6168, 519, 1032, 476, 6942, 271, 513, 18979, 575, 1446, 540, 2842, 25626, 936, 519, 14629, 543, 950, 621, 1185, 5293, 519, 12155, 17657, 540, 519, 7074, 12566, 729, 17077, 17709, 540, 2417, 9006, 3130, 563, 763, 10828, 7282, 519, 3529, 568, 602, 513, 24116, 10707, 519, 13009, 796, 27665, 2406, 22885, 519, 2856, 540, 12561, 519, 3529, 593, 1283, 540, 519, 14629, 607, 1010, 1843, 540, 2123, 27527, 610, 10847, 269, 10435, 513, 1665, 593, 519, 3529, 267, 1287, 7555, 513, 536, 3298, 14653, 11397, 267, 646, 8929, 606, 15561, 799, 609, 10169, 6397, 6111, 22815, 1027, 922, 4099, 269, 1261, 7608, 713, 607, 513, 1129, 602, 519, 3529, 17019, 1010, 3325, 1370, 658, 544, 1329, 543, 1185, 931, 5034, 547, 581, 13384, 528, 585, 1010, 6228, 269, 1261, 2968, 513, 24116, 267, 1390, 1851, 1010, 1004, 267, 543, 2141, 1310, 267, 950, 8429, 1131, 13793, 930, 18351, 2390, 1010, 3529, 563, 2691, 519, 24116, 1185, 18084, 519, 4158, 5757, 547, 519, 6126, 10122, 2666, 267, 538, 1931, 547, 28511, 1010, 3965, 267, 1010, 14077, 543, 2828, 8164, 693, 519, 3529, 267, 4797, 519, 2688, 646, 1185, 12090, 282, 711, 2705, 267, 538, 519, 3661, 602, 789, 941, 1818, 598, 4290, 328, 2218, 17008, 547, 1022, 16750, 1373, 267, 855, 2864, 267, 713, 1373, 519, 24116, 779, 1152, 15224, 267, 950, 789, 2451, 21797, 972, 267, 789, 941, 10452, 513, 6891, 971, 607, 10268, 538, 519, 1792, 9405, 540, 5810, 2390, 30401, 593, 938, 1378, 17341, 4303, 563, 296, 723, 1224, 1776, 10828, 7282, 519, 4915, 3529, 267, 855, 607, 621, 568, 10423, 569, 519, 1587, 540, 519, 12667, 9345, 540, 930, 824, 982, 606, 4095, 594, 786, 711, 16196, 621, 1934, 563, 22818, 512, 2056, 547, 6086, 5573, 519, 14985, 540, 17629, 3281, 18730, 267, 607, 513, 8007, 862, 839, 23847, 609, 1010, 18163, 1648, 267, 519, 1034, 22543, 520, 580, 762, 540, 519, 3662, 10806, 11392, 689, 519, 4279, 13336, 513, 3304, 9317, 986, 2939, 267, 799, 711, 4805, 2488, 1864, 609, 2347, 4027, 15116, 547, 519, 4170, 540, 1010, 5065, 3693, 267, 855, 799, 814, 1044, 865, 26195, 1221, 676, 519, 561, 3581, 540, 5137, 602, 585, 741, 1378, 4313, 267, 12257, 543, 7443, 789, 723, 4174, 5529, 621, 689, 1864, 676, 519, 2929, 269, 634, 581, 11232, 729, 519, 6305, 24539, 957, 15070, 519, 5322, 540, 519, 911, 13827, 543, 18318, 540, 519, 2038, 9663, 3549, 269, 898, 949, 723, 1044, 855, 2067, 1287, 602, 930, 835, 540, 1346, 9035, 1058, 28069, 4063, 519, 26048, 540, 519, 25170, 799, 8255, 6622, 23702, 519, 18774, 19835, 666, 27267, 2282, 12844, 7534, 607, 23401, 519, 1309, 644, 531, 16289, 720, 540, 519, 1101, 540, 782, 24654, 9663, 15515, 31600, 267, 543, 4061, 4019, 547, 621, 519, 2012, 2142, 320, 3200, 841, 10830, 269, 3245, 519, 942, 538, 476, 7277, 272, 950, 12429, 338, 1546, 3911, 564, 267, 8672, 543, 631, 1263, 541, 7236, 267, 609, 519, 2482, 14552, 9478, 4325, 19816, 543, 654, 269, 4147, 839, 267, 21986, 539, 519, 666, 27267, 1101, 609, 530, 30368, 267, 7047, 338, 543, 6887, 267, 1524, 547, 476, 4489, 280, 950, 519, 1459, 3446, 543, 2759, 941, 3964, 267, 14874, 519, 2025, 18214, 267, 835, 540, 519, 2798, 540, 23487, 267, 8783, 538, 519, 666, 27267, 779, 8574, 585, 519, 9920, 540, 1022, 6174, 267, 5179, 610, 6382, 267, 729, 713, 14629, 267, 1631, 9207, 14653, 676, 1079, 1390, 16749, 25310, 563, 6624, 1296, 3516, 972, 729, 2370, 16025, 610, 11453, 3395, 2390, 519, 25170, 269, 1809, 519, 19619, 6371, 543, 18047, 8057, 1279, 269, 1879, 519, 3762, 12015, 543, 519, 5452, 18009, 2989, 538, 519, 15489, 543, 519, 2842, 6926, 342, 2178, 936, 519, 14629, 267, 513, 15116, 627, 597, 2590, 610, 627, 626, 1782, 6846, 1522, 581, 9571, 676, 1346, 10707, 936, 621, 269, 4475, 519, 12075, 1572, 621, 968, 307, 345, 529, 2389, 10275, 2223, 713, 1373, 741, 7664, 540, 519, 4992, 3812, 563, 763, 12075, 3100, 547, 723, 6976, 1100, 1390, 3007, 547, 20803, 2798, 540, 519, 10239, 269, 1677, 519, 645, 7867, 17848, 2039, 789, 4294, 519, 2012, 968, 2419, 328, 6709, 559, 6709, 559, 10275, 710, 2223, 2495, 4414, 10239, 610, 4414, 16186, 267, 713, 7311, 2864, 2523, 547, 519, 10239, 827, 853, 269, 6307, 779, 30078, 855, 972, 5526, 1100, 1808, 25084, 585, 6778, 10753, 10753, 269, 853, 269, 6307, 779, 30078, 4607, 922, 2012, 689, 930, 835, 540, 519, 20908, 3726, 4651, 267, 4440, 1546, 306, 5471, 5128, 269, 10753, 10753, 814, 1044, 7608, 607, 519, 25084, 585, 602, 8445, 3274, 1317, 540, 922, 1373, 2282, 519, 6908, 543, 14860, 540, 602, 2012, 563, 300, 20667, 543, 14860, 267, 10720, 543, 6908, 267, 938, 25610, 7677, 8460, 1570, 585, 513, 10715, 540, 4277, 1353, 547, 513, 24158, 540, 7186, 543, 1200, 30181, 269, 0, 310, 269, 570, 269, 14408, 311, 2177, 4534, 6245, 278, 454, 314, 26480, 307, 269, 654, 3201, 9898, 570, 2207, 23802, 14408, 311, 2177, 2639, 19688, 476, 736, 267, 476, 8146, 277, 267, 1175, 835, 1554, 1354, 519, 11135, 540, 5842, 10496, 20041, 267, 654, 269, 570, 563, 306, 19414, 729, 4535, 538, 4201, 879, 8615, 6019, 267, 3162, 10491, 269, 769, 476, 6977, 275, 646, 6410, 547, 454, 293, 3271, 5866, 267, 2663, 13984, 519, 8828, 13639, 4659, 693, 12049, 8205, 2676, 2704, 16342, 267, 543, 3576, 513, 1576, 538, 3540, 4702, 269, 1879, 519, 6406, 2782, 13264, 454, 719, 267, 646, 6659, 835, 540, 519, 1101, 3549, 538, 8419, 267, 540, 799, 646, 729, 454, 577, 4923, 23071, 269, 1261, 4718, 3742, 3028, 538, 519, 2112, 267, 729, 20754, 2947, 2053, 2676, 663, 729, 513, 26956, 7466, 269, 1261, 729, 15469, 547, 519, 7584, 540, 2101, 269, 2991, 519, 454, 8705, 646, 729, 7466, 11221, 547, 519, 23328, 267, 543, 1287, 3357, 547, 16803, 538, 454, 6942, 275, 1141, 646, 7722, 538, 5619, 532, 269, 1261, 729, 11221, 10315, 5619, 528, 538, 476, 6942, 279, 454, 663, 729, 1869, 538, 602, 5604, 538, 476, 6245, 278, 269, 898, 568, 1767, 602, 646, 6785, 811, 827, 454, 20129, 2456, 543, 12220, 538, 713, 10315, 982, 1022, 824, 812, 563, 288, 8250, 540, 12650, 269, 590, 19414, 267, 11427, 269, 645, 612, 773, 8805, 267, 1869, 2729, 1934, 269, 3571, 5067, 2676, 307, 549, 641, 267, 2729, 538, 20274, 267, 543, 1010, 1178, 2738, 517, 267, 6833, 787, 267, 2729, 538, 16803, 563, 295, 4456, 6579, 307, 2177, 2910, 7419, 31159, 21832, 306, 4534, 14157, 269, 476, 279, 267, 3143, 269, 1015, 454, 15578, 27334, 299, 307, 2177, 16275, 2316, 313, 2894, 4534, 14157, 269, 476, 1789, 267, 3143, 269, 476, 2537, 454, 295, 15071, 6019, 267, 29255, 454, 293, 27518, 267, 4873, 476, 2190, 267, 476, 4350, 279, 0, 19522, 585, 9185, 454, 2791, 3513, 5469, 930, 3604, 1063, 5616, 25420, 543, 9185, 585, 519, 1357, 269, 3371, 616, 930, 4388, 602, 786, 1118, 707, 5912, 547, 9185, 585, 519, 1357, 4443, 563, 31738, 476, 272, 281, 634, 5851, 9184, 814, 1018, 596, 991, 454, 763, 5851, 9184, 814, 519, 1034, 4749, 1031, 16181, 543, 2934, 281, 1849, 760, 4580, 16181, 630, 3697, 2759, 267, 5299, 267, 13594, 264, 543, 11249, 3681, 630, 3697, 4778, 267, 12972, 267, 543, 1297, 11249, 1916, 13014, 2386, 596, 2638, 856, 519, 1318, 2427, 540, 519, 5851, 9184, 269, 2334, 781, 1141, 596, 666, 7696, 9343, 543, 9587, 267, 2040, 2338, 267, 543, 4990, 563, 31738, 476, 273, 281, 634, 23453, 9184, 568, 585, 7515, 267, 12125, 267, 3092, 563, 763, 23453, 9184, 568, 519, 1747, 547, 7696, 2027, 1919, 267, 899, 7515, 267, 12125, 267, 5409, 31904, 267, 543, 865, 593, 563, 2252, 596, 991, 547, 7696, 9343, 267, 9587, 543, 2281, 267, 1287, 979, 547, 519, 1318, 2427, 540, 519, 5851, 9184, 563, 31738, 476, 274, 281, 10261, 513, 1106, 286, 3399, 609, 513, 5619, 563, 2252, 596, 1616, 547, 7696, 513, 1106, 602, 25173, 1239, 267, 1101, 1711, 513, 5619, 538, 2290, 7804, 633, 267, 676, 14467, 1715, 3436, 9185, 5619, 269, 3973, 596, 3513, 723, 1312, 513, 5619, 543, 513, 23519, 602, 25173, 519, 1239, 689, 519, 5619, 563, 31738, 476, 275, 281, 5131, 4506, 9587, 543, 9343, 693, 519, 1482, 942, 454, 2252, 596, 1616, 547, 19068, 9587, 543, 9343, 693, 519, 1482, 942, 267, 2824, 513, 1591, 602, 568, 2630, 519, 9343, 596, 1616, 547, 19068, 267, 543, 547, 519, 1318, 540, 519, 9587, 596, 1616, 547, 19068, 269, 3973, 4945, 7348, 3436, 5131, 2763, 623, 6951, 3436, 5131, 2763, 623, 6951, 563, 31738, 476, 276, 281, 1411, 666, 6882, 267, 609, 513, 3349, 454, 2252, 596, 991, 547, 6882, 267, 4945, 3330, 930, 1239, 267, 543, 1287, 4945, 23453, 3436, 7305, 269, 2334, 786, 2285, 596, 6882, 16181, 547, 960, 609, 563, 31738, 476, 277, 281, 2913, 16790, 11764, 3713, 707, 2039, 2443, 1100, 5542, 2877, 454, 2252, 596, 723, 2338, 538, 6024, 2281, 267, 1287, 519, 16790, 11764, 7735, 2306, 1919, 4443, 269, 898, 786, 3713, 519, 2039, 547, 581, 2040, 4364, 8850, 269, 769, 713, 1383, 267, 621, 9571, 602, 2281, 595, 273, 998, 595, 278, 2877, 547, 581, 2040, 4364, 269, 1703, 781, 1100, 991, 547, 1826, 538, 519, 1591, 8100, 267, 899, 538, 25420, 563, 31738, 476, 278, 281, 4518, 22356, 454, 9617, 899, 519, 20000, 813, 267, 519, 2290, 7804, 633, 813, 5348, 14369, 6119, 547, 707, 2780, 269, 7046, 11711, 25817, 610, 519, 5839, 4855, 518, 543, 596, 3513, 1294, 519, 2290, 7804, 633, 17835, 593, 519, 2451, 269, 25767, 6119, 883, 713, 17835, 267, 1847, 873, 1472, 267, 543, 865, 593, 269, 1403, 596, 31028, 689, 519, 5769, 267, 596, 666, 1930, 543, 12575, 891, 6119, 22356, 269, 1879, 596, 556, 6618, 267, 789, 3513, 1205, 5348, 1027, 547, 2290, 7804, 633, 269, 0, 288, 6651, 547, 2052, 10109, 529, 543, 14055, 585, 6164, 532, 12870, 454, 9596, 519, 1382, 543, 946, 540, 2052, 10109, 529, 543, 14055, 585, 8156, 12870, 563, 1432, 568, 4965, 888, 12831, 1833, 568, 3989, 676, 519, 32663, 268, 276, 607, 513, 7099, 4524, 602, 5540, 875, 649, 1745, 267, 875, 649, 957, 543, 875, 649, 13789, 269, 12870, 3123, 4606, 540, 18354, 543, 2530, 540, 1719, 538, 1919, 649, 2899, 10150, 269, 898, 666, 849, 1291, 547, 824, 2168, 543, 3929, 2042, 602, 666, 15936, 609, 938, 2702, 547, 1599, 693, 960, 543, 693, 1753, 563, 6097, 547, 519, 1977, 5369, 12278, 5948, 267, 968, 24119, 1833, 5540, 835, 538, 476, 1428, 4079, 630, 277, 269, 278, 8472, 538, 1022, 2016, 1032, 269, 1656, 835, 538, 3670, 1004, 630, 1626, 269, 277, 8472, 786, 1995, 4965, 693, 930, 942, 538, 741, 1272, 269, 12870, 666, 10880, 693, 1022, 942, 267, 855, 593, 3328, 267, 621, 1101, 5526, 1282, 519, 3735, 12322, 547, 4571, 268, 736, 338, 269, 6468, 616, 811, 2693, 982, 2367, 547, 1995, 4965, 269, 2368, 2090, 1397, 602, 835, 21017, 540, 2021, 786, 1995, 513, 2101, 19591 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6007, 1416, 563, 289, 2660, 625, 1419, 13451, 267, 799, 666, 581, 606, 5393, 13818, 3510, 269, 23996, 3679, 666, 581, 5393, 6757, 543, 2014, 4049, 17236, 952, 621, 2501, 883, 3346, 609, 2960, 269, 5015, 267, 16789, 12871, 1223, 3441, 1312, 3425, 543, 519, 1604, 563, 2005, 814, 513, 3039, 880, 512, 842, 454, 289, 19495, 3679, 779, 2681, 786, 2693, 581, 835, 540, 519, 1101, 1919, 596, 5469, 827, 513, 1007, 6007, 267, 2356, 17729, 2901, 2312, 610, 1769, 12457, 950, 1007, 855, 713, 666, 1689, 936, 942, 543, 609, 6165, 543, 2085, 563, 5278, 6007, 2010, 267, 899, 1291, 14092, 573, 9075, 267, 949, 723, 513, 3039, 880, 27280, 1813, 547, 519, 3114, 7135, 8659, 1369, 741, 3679, 563, 2467, 616, 824, 18707, 540, 6007, 3679, 1932, 282, 930, 8677, 2097, 538, 3109, 1247, 1866, 949, 2408, 5835, 610, 1256, 8869, 1106, 563, 289, 19495, 3679, 568, 3335, 7768, 540, 29809, 16247, 545, 3679, 3435, 267, 799, 568, 1031, 547, 5352, 5201, 676, 3114, 5114, 1063, 1291, 267, 5135, 543, 7250, 538, 519, 3679, 543, 824, 2609, 538, 922, 4542, 563, 331, 603, 1756, 9357, 9075, 267, 1031, 538, 1591, 11436, 267, 24195, 267, 543, 824, 5907, 3457, 602, 946, 22279, 6464, 585, 5106, 267, 949, 711, 581, 607, 1351, 4592, 633, 855, 1869, 10460, 930, 4110, 540, 3595, 1981, 952, 31067, 610, 6534, 2047, 563, 289, 2660, 625, 602, 723, 1831, 26843, 543, 13451, 666, 3132, 3679, 609, 513, 3039, 880, 512, 842, 1813, 547, 17694, 1628, 5346, 282, 547, 7413, 12526, 4598, 607, 1454, 607, 2009, 563, 8448, 2188, 799, 949, 7369, 519, 2681, 540, 6007, 3679, 1331, 922, 3498, 267, 2085, 543, 3441, 269, 1879, 9075, 1376, 682, 1136, 513, 4158, 23469, 5277, 621, 6920, 621, 2115, 13868, 5612, 563, 289, 19495, 3679, 568, 606, 7533, 851, 540, 1082, 2413, 3457, 267, 543, 1620, 1018, 922, 5920, 5654, 899, 786, 1450, 596, 547, 1491, 2556, 15416, 585, 7863, 3054, 543, 707, 1920, 269, 1403, 596, 991, 6351, 9301, 1018, 6007, 3679, 5654, 899, 267, 798, 711, 19292, 547, 5077, 513, 6007, 11285, 585, 5583, 563, 2005, 814, 513, 2178, 9329, 454, 289, 19495, 3679, 32307, 606, 3362, 2369, 529, 762, 9329, 267, 3982, 689, 824, 3114, 30851, 269, 898, 3335, 20998, 16247, 610, 4232, 1084, 4212, 20416, 267, 4470, 593, 799, 6007, 1826, 568, 538, 946, 563, 31367, 17627, 666, 581, 3226, 21898, 16341, 547, 1346, 7092, 689, 7929, 22074, 899, 10447, 610, 1346, 609, 4617, 9641, 267, 607, 1134, 607, 1346, 8886, 762, 11563, 543, 9224, 602, 1291, 547, 23472, 543, 7411, 538, 7244, 269, 898, 849, 8886, 919, 11563, 543, 9224, 5160, 4929, 23472, 543, 7411, 609, 7244, 563, 3412, 9712, 2299, 5957, 8825, 3937, 899, 513, 9633, 952, 6534, 547, 6007, 3679, 543, 3643, 513, 6413, 5612, 269, 4746, 581, 6297, 540, 9363, 2673, 547, 1022, 2127, 602, 1522, 13451, 282, 1832, 707, 3845, 563, 31367, 13137, 8069, 666, 2014, 4049, 17236, 952, 789, 2097, 883, 3346, 609, 707, 2960, 610, 32480, 269, 5015, 267, 789, 949, 1291, 547, 3750, 7063, 607, 1134, 607, 3441, 547, 10153, 16371, 12823, 543, 3441, 10153, 16371, 12823, 563, 289, 2660, 625, 946, 606, 23386, 7768, 540, 1216, 543, 16247, 545, 3679, 547, 1463, 6475, 8928, 1063, 741, 2318, 543, 2942, 23525, 269, 590, 5285, 584, 4249, 606, 7533, 851, 538, 713, 7848, 267, 7700, 547, 922, 3982, 9329, 1107, 1945, 824, 9075, 798, 711, 4865, 563, 306, 5285, 584, 545, 3679, 666, 581, 3810, 1351, 4592, 633, 543, 2014, 2960, 16698, 952, 16789, 569, 17411, 269, 5015, 267, 922, 4527, 666, 581, 9571, 676, 7250, 30423, 3154, 538, 519, 5790, 563, 4322, 6757, 9362, 666, 581, 14124, 547, 10153, 16371, 8219, 267, 7929, 1062, 267, 9667, 8778, 267, 4064, 543, 538, 930, 8320, 1256, 14603, 585, 1346, 2713, 609, 10447, 610, 824, 5761, 2175, 563, 2026, 513, 1267, 267, 621, 568, 3857, 958, 1271, 547, 2697, 543, 9243, 1125, 6007, 3679, 9329, 269, 769, 10821, 5468, 267, 11993, 10433, 610, 16693, 949, 948, 9243, 1125, 621, 282, 1247, 585, 1286, 9075, 513, 7848, 540, 11256, 14614, 543, 1216, 949, 798, 519, 8945, 563, 21446, 894, 10298, 1677, 1763, 9876, 901, 17136, 1403, 3318, 6351, 568, 5551, 547, 8207, 713, 1966, 543, 547, 2149, 1312, 3054, 543, 707, 1920, 2818, 689, 6757, 6464, 602, 1223, 10460, 2800, 267, 2015, 5275, 3318, 2533, 547, 6023, 713, 2339, 3079, 269, 901, 786, 2569, 4220, 547, 1312, 6105, 3238, 563, 11073, 2515, 519, 9329, 267, 581, 13533, 540, 824, 2589, 2404, 609, 513, 17528, 6007, 971, 607, 5122, 14768, 543, 519, 5920, 540, 15309, 593, 4496, 2694, 269, 901, 786, 2285, 606, 4977, 26841, 540, 1018, 519, 1483, 3390, 568, 543, 1450, 596, 547, 1491, 2556, 3800, 9935, 563, 2005, 568, 1351, 4592, 633, 454, 289, 19495, 3679, 568, 513, 3810, 1351, 4592, 633, 1570, 602, 666, 3441, 2960, 267, 4064, 543, 519, 9641, 269, 5015, 267, 6007, 3679, 13514, 3978, 1072, 10898, 547, 2831, 267, 2371, 543, 1004, 543, 1590, 4061, 581, 17411, 5402, 547, 2057, 1761, 1072, 2042, 563, 2026, 922, 2012, 10522, 267, 16247, 545, 3679, 630, 295, 273, 12569, 275, 264, 666, 581, 1500, 883, 8652, 18608, 545, 3679, 676, 8920, 5024, 621, 547, 476, 1789, 268, 2004, 260, 5834, 269, 2755, 711, 607, 3532, 607, 13671, 3029, 540, 16247, 545, 3679, 267, 8652, 18608, 545, 3679, 1869, 814, 3978, 1761, 1072, 5222, 952, 3765, 4310, 16789, 569, 563, 10907, 573, 5834, 9775, 1063, 9075, 267, 865, 621, 568, 1898, 602, 596, 616, 3222, 540, 922, 3169, 2179, 1354, 23312, 609, 946, 269, 1403, 538, 8969, 267, 5077, 513, 3289, 668, 2678, 538, 1931, 547, 2268, 922, 5834, 563, 10111, 9075, 2270, 1291, 14092, 573, 9075, 609, 16247, 545, 3679, 5714, 602, 568, 3810, 1351, 4592, 633, 543, 949, 2014, 4049, 17236, 952, 6534, 2047, 269, 13555, 609, 713, 3679, 1223, 1267, 538, 17236, 547, 707, 2960, 267, 4064, 543, 7929, 1062, 952, 519, 6007, 20984, 5196, 873, 563, 2414, 7413, 713, 1981, 267, 1152, 3442, 9075, 9280, 609, 642, 757, 2966, 547, 5305, 4430, 575, 13293, 883, 519, 5790, 269, 5015, 267, 3888, 606, 7850, 14910, 1062, 543, 798, 711, 3801, 547, 1930, 707, 6007, 1510, 1210, 3617, 3106, 10591, 563, 17357, 12509, 4386, 950, 7250, 3154, 5950, 689, 9075, 23465, 609, 7509, 267, 6070, 610, 824, 2326, 547, 3132, 513, 3114, 5114, 543, 3123, 14809, 269, 901, 949, 2049, 952, 789, 723, 1044, 936, 12737, 539, 610, 6740, 538, 3905, 543, 3819, 5054, 585, 6905, 5712, 563, 17357, 12509, 2451, 31250, 666, 2144, 1712, 6007, 23525, 543, 11904, 707, 6007, 1875, 10818, 531, 1107, 26089, 811, 14427, 543, 942, 21791, 18203, 593, 707, 6174, 563, 19675, 596, 2097, 883, 3346, 609, 6007, 3679, 267, 621, 568, 16122, 602, 596, 11547, 2476, 609, 3579, 1216, 5612, 543, 3346, 2564, 948, 607, 519, 8781, 3679, 1223, 3548, 2476, 693, 2960, 543, 581, 5739, 547, 4064, 563, 289, 9506, 3679, 666, 8886, 622, 707, 7929, 8778, 543, 2014, 7244, 2042, 267, 5323, 565, 532, 543, 11563, 543, 5023, 11926, 1107, 5732, 1256, 3170, 1275, 952, 3144, 23254, 14260, 563, 289, 2660, 625, 1058, 2760, 581, 2016, 547, 1453, 607, 9162, 282, 2523, 952, 519, 6007, 3568, 3679, 610, 824, 6757, 2326, 602, 1223, 1439, 9734, 741, 9641, 543, 9667, 1949, 269, 0, 18455, 513, 3811, 1788, 9614, 3340, 513, 2189, 5578, 1305, 602, 10905, 2930, 6791, 267, 5718, 5759, 267, 543, 2500, 2792, 269, 5741, 9946, 1404, 513, 2629, 1909, 538, 4058, 267, 22589, 267, 543, 12419, 3785, 593, 942, 543, 1369, 6578, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1898, 1983, 602, 1169, 1788, 9614, 1058, 4865, 547, 14133, 538, 741, 1909, 563, 272, 269, 5741, 12020, 543, 9257, 10341, 454, 19061, 4058, 543, 3919, 1983, 616, 4909, 547, 519, 1967, 540, 1022, 1788, 269, 589, 1788, 9614, 1058, 581, 740, 30794, 693, 912, 268, 12861, 1788, 4566, 609, 2312, 6859, 267, 5838, 1963, 267, 28868, 267, 543, 19325, 563, 268, 27915, 1524, 1950, 3785, 883, 19242, 4247, 543, 26471, 9021, 547, 2319, 2818, 563, 268, 4165, 4602, 908, 4220, 543, 3384, 20314, 1890, 4566, 563, 268, 19737, 1788, 2200, 3927, 267, 1519, 22343, 543, 20319, 563, 273, 269, 15557, 543, 12243, 5004, 10341, 454, 2026, 513, 1788, 9614, 267, 596, 616, 3743, 585, 3056, 543, 13057, 707, 2319, 2509, 1788, 1967, 269, 16200, 5718, 543, 2319, 2359, 1983, 1331, 912, 268, 6184, 25378, 543, 30070, 2319, 2818, 547, 1685, 693, 741, 1655, 563, 268, 11120, 22626, 2500, 2792, 543, 5698, 1369, 519, 2319, 563, 268, 1546, 5586, 908, 4247, 1759, 593, 1367, 9342, 543, 1983, 563, 268, 1763, 6295, 7526, 543, 5009, 513, 2318, 2319, 2528, 563, 268, 21278, 16268, 5955, 543, 9301, 2319, 2818, 685, 10781, 563, 274, 269, 9442, 543, 853, 820, 14516, 5004, 10341, 454, 19931, 2792, 568, 4105, 585, 1788, 1967, 269, 5741, 9946, 1058, 4865, 2178, 2792, 543, 30393, 2359, 1983, 267, 971, 607, 912, 268, 22682, 13994, 6819, 1788, 3853, 267, 6788, 267, 543, 3356, 547, 8639, 563, 268, 15765, 6947, 543, 1620, 519, 2115, 543, 4145, 540, 2319, 2818, 543, 8639, 563, 268, 29114, 1681, 2792, 6163, 543, 2409, 547, 1114, 9458, 563, 268, 8490, 543, 4509, 3347, 609, 7218, 267, 13384, 832, 267, 543, 824, 8639, 563, 268, 11120, 22626, 11327, 11401, 543, 4180, 2500, 1344, 2095, 1369, 519, 1788, 2319, 563, 275, 269, 9046, 4149, 6295, 543, 17423, 5336, 1136, 10341, 454, 19061, 338, 1419, 7237, 2591, 543, 9465, 2059, 519, 1259, 269, 5741, 9946, 1058, 581, 9952, 538, 912, 268, 17291, 543, 7421, 2042, 267, 543, 3384, 3860, 3435, 563, 268, 10435, 5483, 3664, 1759, 593, 1239, 267, 2079, 267, 543, 2565, 3206, 563, 268, 26875, 1944, 4247, 543, 2200, 547, 2743, 1788, 6859, 563, 268, 11154, 532, 547, 4657, 6381, 543, 5883, 1788, 9165, 3927, 563, 268, 4804, 689, 2250, 2833, 543, 11179, 5355, 3157, 563, 276, 269, 11485, 5004, 10341, 454, 31572, 4220, 568, 513, 2565, 2460, 540, 1788, 2359, 269, 589, 9952, 1788, 9614, 1058, 581, 21295, 538, 912, 268, 17291, 1761, 4220, 543, 10647, 1981, 10526, 563, 268, 15043, 1981, 17846, 2994, 543, 20314, 1890, 4566, 563, 268, 16424, 543, 9013, 4220, 2429, 519, 1788, 29488, 563, 268, 1160, 26754, 5466, 2152, 602, 949, 1764, 1788, 28868, 610, 5838, 1963, 563, 268, 4004, 21899, 1981, 4567, 543, 17846, 4566, 547, 8639, 563, 277, 269, 14502, 11310, 543, 16869, 1047, 454, 16352, 513, 4396, 1620, 540, 519, 2930, 3344, 1644, 547, 519, 1788, 6389, 568, 1898, 585, 2500, 1788, 2359, 269, 901, 2882, 912, 268, 19361, 640, 609, 1788, 2359, 16097, 543, 10850, 630, 324, 3052, 1421, 3397, 850, 267, 4826, 6420, 1916, 268, 11310, 540, 4143, 2645, 543, 4066, 1031, 538, 1788, 2359, 563, 268, 4197, 2872, 10391, 4441, 543, 6042, 563, 268, 18227, 909, 3562, 15082, 609, 6932, 3466, 543, 7760, 538, 1788, 2359, 2853, 563, 18455, 513, 3811, 1788, 9614, 3340, 513, 11684, 5578, 1305, 21214, 1788, 4058, 267, 5718, 267, 2792, 267, 1966, 9010, 267, 1981, 2359, 267, 543, 2930, 6791, 269, 1635, 28798, 891, 1983, 267, 1788, 9946, 666, 6330, 519, 10848, 540, 1788, 2359, 267, 1291, 741, 6887, 609, 6015, 267, 543, 5838, 3811, 4093, 269, 23120, 1565, 267, 1582, 21553, 2889, 22777, 267, 543, 4052, 3498, 540, 891, 1983, 616, 1883, 547, 4742, 606, 11108, 1788, 9614, 538, 1022, 2872, 563, 2026, 606, 8835, 21133, 649, 7118, 689, 27216, 16306, 998, 930, 6402, 538, 938, 4930, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 12763, 519, 11056, 942, 540, 519, 17830, 585, 1114, 5119, 7306, 543, 5635, 519, 2773, 563, 274, 269, 3503, 606, 7046, 12710, 17830, 602, 15824, 3239, 28708, 269, 12763, 519, 11056, 942, 540, 519, 17830, 585, 1114, 3239, 7306, 543, 5635, 519, 2773, 563, 275, 269, 3503, 606, 7046, 12710, 17830, 602, 15824, 513, 3728, 22263, 2981, 630, 293, 10499, 1040, 12763, 519, 11056, 942, 540, 519, 17830, 585, 1114, 5365, 13080, 543, 5635, 519, 2773, 780, 2162, 22108, 692, 265, 7046, 12710, 14691, 6651, 281, 589, 24732, 6823, 13979, 676, 589, 10762, 629, 16189, 3333, 328, 267, 31409, 717, 2120, 267, 30227, 4223, 1206, 517, 267, 543, 6276, 674, 2426, 454, 265, 12877, 15411, 12710, 14871, 6651, 281, 2999, 10059, 2517, 25269, 18210, 6745, 6509, 19709, 270, 6853, 13449, 743, 270, 11417, 265, 7046, 12710, 10410, 2305, 281, 2999, 10059, 2517, 4178, 269, 16223, 1258, 657, 3820, 270, 2958, 3588, 270, 15411, 12710, 4882, 701, 14369, 270, 273, 269, 273, 270, 6255, 6447, 270, 15411, 12710, 318, 4338, 296, 11258, 285, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 2118, 815, 804, 14389, 14533, 263, 1440, 326, 267, 1412, 8999, 262, 1040, 1326, 318, 1740, 14682, 4981, 318, 16769, 263, 26444, 2018, 804, 21993, 14533, 318, 1740, 14682, 4981, 318, 16769, 10422, 3918, 29052, 305, 3633, 318, 310, 3036, 298, 318, 294, 4629, 16810, 318, 10485, 30438, 318, 300, 8085, 2316, 303, 4041, 267, 26444, 2018, 3926, 2020, 1038, 1820, 2891, 10574, 2798, 24333, 1239, 318, 9557, 994, 1038, 1820, 2891, 13480, 619, 24333, 4600, 994, 1038, 1820, 2891, 7093, 31084, 960, 1895, 2450, 2789, 24333, 9053, 8548, 738, 2118, 2020, 1038, 952, 630, 32305, 4939, 9053, 8548, 738, 2118, 2187, 2018, 1820, 2891, 10831, 540, 4600, 711, 513, 9053, 2789, 630, 260, 323, 265, 301, 1040, 257, 26444, 7386, 4939, 630, 2181, 31084, 8548, 738, 2118, 4917, 2018, 1820, 2891, 8110, 18504, 949, 581, 4389, 1701, 2020, 1038, 4291, 318, 5271, 339, 815, 929, 326, 27904, 263, 28255, 267, 2518, 15481, 267, 2199, 15481, 267, 513, 10734, 18860, 267, 536, 10734, 18860, 267, 3186, 10734, 18860, 994, 1038, 4291, 318, 5271, 339, 9884, 7159, 4590, 1038, 1714, 17863, 815, 476, 272, 324, 268, 280, 16732, 1410, 1815, 318, 5271, 339, 269, 2889, 12803, 269, 754, 910, 4291, 318, 5271, 339, 269, 2889, 12803, 269, 11034, 2020, 1038, 1820, 2891, 2750, 1815, 1081, 942, 540, 1449, 281, 4939, 326, 521, 257, 4939, 1714, 17863, 2020, 1038, 524, 815, 11885, 269, 24105, 318, 3697, 5416, 994, 1038, 804, 269, 523, 28255, 318, 1348, 10734, 4428, 518, 263, 28255, 267, 3186, 10734, 18860, 267, 524, 1040, 342, 7159, 4590, 1038, 3160, 815, 11885, 269, 718, 263, 524, 2652, 524, 318, 14310, 2020, 1038, 952, 711, 3160, 912, 3546, 1820, 2891, 24342, 3085, 1405, 6474, 8627, 5602, 1038, 3116, 912, 3546, 1820, 2891, 24342, 15528, 5602, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 279, 281, 2961, 11538, 7066, 5501, 21661, 519, 7909, 281, 4197, 2910, 294, 6347, 692, 5331, 596, 4312, 1175, 1500, 930, 4190, 29586, 25231, 7410, 609, 10477, 19273, 543, 15798, 17850, 338, 269, 2659, 1148, 4116, 14560, 873, 865, 1454, 1352, 7512, 596, 547, 6133, 873, 2228, 256, 17652, 2614, 267, 2576, 689, 5245, 6499, 547, 4444, 4557, 540, 707, 2189, 13144, 269, 1215, 5863, 568, 602, 286, 1809, 875, 786, 789, 1205, 2066, 519, 5836, 9108, 286, 2334, 781, 1141, 11288, 3549, 2097, 538, 256, 1656, 950, 621, 2501, 547, 11488, 1919, 18246, 267, 972, 781, 1945, 1572, 519, 2961, 5846, 540, 6153, 338, 676, 7256, 2920, 630, 4596, 294, 6347, 264, 602, 2337, 1832, 3388, 4881, 12347, 269, 1924, 1577, 781, 4685, 883, 1620, 1018, 2910, 294, 6347, 1797, 585, 1312, 596, 543, 707, 8241, 6075, 2439, 5575, 1055, 267, 1577, 781, 2911, 827, 945, 2115, 547, 917, 827, 2910, 294, 6347, 269, 4270, 267, 952, 596, 2811, 2469, 547, 6494, 707, 10475, 25231, 7410, 593, 513, 1279, 3460, 936, 519, 4262, 267, 1287, 596, 991, 547, 1174, 875, 789, 786, 581, 6870, 1282, 741, 7552, 269, 901, 1876, 10039, 5631, 547, 4213, 899, 667, 20462, 514, 1744, 6235, 5245, 623, 1399, 13456, 1107, 1346, 945, 3858, 547, 4163, 707, 5370, 593, 9635, 689, 835, 2197, 547, 1776, 269, 898, 5036, 3652, 543, 4808, 547, 2327, 3025, 3238, 17358, 741, 9021, 780, 3086, 267, 4952, 23522, 10977, 7258, 519, 6928, 8876, 707, 25231, 7410, 269, 1358, 21843, 5191, 543, 10103, 1063, 3425, 543, 2470, 269, 6684, 267, 1589, 540, 2910, 294, 6347, 607, 7874, 23522, 13057, 519, 11288, 1184, 2059, 2312, 267, 8815, 5346, 517, 10092, 269, 2290, 1271, 4341, 2910, 294, 6347, 20964, 568, 827, 9878, 585, 14796, 269, 1403, 4376, 4523, 547, 707, 25231, 7410, 1247, 1373, 16487, 910, 2161, 267, 513, 7088, 21219, 873, 1354, 8757, 5245, 910, 2910, 294, 6347, 2306, 2386, 519, 11288, 2754, 814, 2724, 1305, 11735, 4481, 585, 971, 3871, 269, 901, 1259, 267, 1256, 1498, 707, 2295, 1131, 2736, 6616, 707, 25704, 4769, 1405, 12446, 796, 2675, 520, 1117, 267, 693, 2547, 596, 9327, 1405, 6336, 1022, 4890, 2724, 1317, 540, 621, 780, 3719, 7227, 267, 972, 781, 811, 256, 1548, 952, 1945, 3407, 4422, 7508, 1282, 18302, 286, 3143, 19048, 256, 6271, 1909, 540, 2910, 294, 6347, 568, 4543, 4137, 856, 945, 781, 3743, 585, 4503, 3688, 269, 2913, 803, 2995, 596, 513, 2370, 5728, 281, 1034, 540, 519, 942, 267, 621, 4465, 1405, 581, 707, 13337, 610, 519, 23138, 781, 13337, 282, 3079, 267, 621, 8813, 1394, 593, 519, 11288, 2754, 269, 1717, 267, 972, 616, 17756, 269, 1280, 1383, 267, 15475, 2576, 17543, 2848, 1023, 707, 25231, 7410, 1318, 1310, 789, 2811, 16041, 5196, 519, 6928, 630, 344, 10105, 14386, 610, 952, 519, 12284, 2818, 5749, 1405, 6297, 7829, 707, 10189, 269, 769, 2665, 899, 891, 267, 519, 11288, 2754, 1522, 711, 581, 4371, 18177, 2094, 621, 7012, 1405, 7357, 741, 13337, 2901, 780, 4131, 781, 979, 1394, 547, 938, 3312, 2243, 281, 875, 1281, 782, 713, 1344, 948, 596, 286, 1306, 513, 27503, 16724, 267, 1565, 827, 4031, 7863, 707, 25584, 666, 7668, 596, 547, 3442, 6325, 11288, 4891, 945, 1246, 2910, 294, 6347, 4808, 269, 5047, 267, 2348, 1930, 7391, 609, 5561, 827, 1210, 1202, 3293, 19057, 5849, 4708, 540, 2247, 2429, 519, 3003, 11834, 269, 2991, 782, 267, 18864, 6499, 29043, 4555, 13735, 1472, 950, 9849, 1187, 11824, 2389, 1335, 539, 17960, 2439, 1103, 3932, 267, 3314, 938, 5363, 2828, 267, 519, 23522, 286, 3807, 899, 873, 267, 2910, 294, 6347, 4249, 513, 4105, 1909, 538, 4509, 3666, 1369, 3486, 4123, 7297, 269, 1635, 4259, 2666, 3652, 543, 17420, 6105, 1996, 9271, 267, 713, 957, 11942, 3972, 1851, 18046, 267, 23965, 267, 543, 11288, 3549, 7567, 269, 3767, 267, 8164, 596, 1294, 5961, 540, 22488, 23522, 17259, 6329, 610, 4309, 6835, 6031, 834, 7312, 1931, 568, 593, 922, 1259, 10590, 596, 3513, 5660, 519, 15865, 3106, 2121, 18955, 1927, 676, 2910, 294, 6347, 543, 824, 2147, 6042, 269, 8414, 9513, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 5357, 15771, 2562, 15562, 7709, 303, 5058, 589, 19851, 305, 3201, 8656, 25280, 312, 700, 31813, 454, 19931, 5181, 476, 1708, 272, 454, 4322, 16301, 540, 11780, 4019, 547, 782, 2533, 630, 306, 26236, 264, 3177, 676, 667, 20462, 514, 1744, 6235, 623, 1399, 13456, 454, 263, 3722, 301, 476, 7785, 476, 276, 2420, 476, 5379, 280, 264, 630, 1492, 7577, 264, 547, 1411, 519, 21436, 563, 8923, 1224, 891, 16301, 540, 11780, 5402, 563, 2171, 2721, 707, 1880, 3007, 547, 513, 1297, 540, 2474, 799, 2285, 519, 7577, 2924, 543, 5924, 454, 516, 706, 576, 610, 23868, 2924, 602, 1411, 1522, 6382, 723, 267, 855, 585, 891, 2474, 269, 1452, 2474, 616, 912, 5141, 1021, 476, 278, 281, 630, 11900, 4269, 264, 634, 21436, 568, 9415, 547, 1118, 922, 1378, 11460, 585, 6142, 454, 16225, 585, 519, 6153, 338, 269, 634, 6153, 338, 616, 711, 4988, 676, 18535, 6142, 547, 3382, 2530, 540, 519, 6153, 338, 1247, 454, 514, 519, 7577, 779, 26692, 267, 8259, 713, 568, 11231, 676, 519, 21436, 563, 5141, 1021, 476, 1556, 269, 275, 281, 630, 21918, 2787, 540, 700, 6636, 264, 634, 7577, 779, 17181, 540, 15668, 585, 2530, 610, 3441, 16109, 856, 454, 1993, 519, 11865, 540, 519, 7896, 547, 519, 21436, 630, 21955, 1141, 3361, 676, 519, 32226, 267, 12161, 610, 454, 342, 559, 995, 9949, 610, 522, 3939, 676, 519, 7577, 922, 22063, 610, 8069, 1916, 5141, 1021, 476, 1556, 269, 280, 281, 630, 21918, 2787, 540, 9149, 629, 8270, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10111, 5846, 540, 6153, 338, 676, 7256, 2920, 630, 4596, 294, 6347, 17983, 607, 851, 540, 834, 30311, 1315, 20497, 1315, 4139, 11780, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3992, 827, 1620, 7526, 543, 5275, 5126, 256, 5620, 596, 2479, 4862, 827, 10617, 8345, 538, 1114, 2694, 540, 519, 1158, 286, 2107, 6148, 596, 4312, 9289, 1018, 1131, 4755, 952, 2576, 1705, 1945, 4636, 543, 2877, 547, 581, 27052, 286, 4653, 267, 649, 786, 2263, 891, 3584, 998, 519, 7828, 540, 513, 1483, 3510, 910, 519, 4655, 538, 8644, 4997, 543, 875, 1004, 616, 2324, 2509, 4466, 5126, 585, 1346, 4299, 780, 5575, 267, 1577, 781, 2911, 827, 1018, 5949, 538, 8644, 4997, 269, 901, 1507, 4639, 3979, 4182, 814, 5185, 1082, 2591, 2429, 922, 1686, 267, 855, 835, 3226, 2352, 942, 729, 1282, 519, 476, 1960, 271, 338, 950, 513, 22266, 3540, 2112, 3576, 1747, 269, 5994, 8165, 1063, 1114, 2516, 1318, 538, 707, 1378, 8378, 267, 4929, 9552, 543, 4250, 10876, 269, 2334, 781, 4010, 1018, 5949, 538, 8644, 4997, 269, 3509, 2729, 941, 4503, 267, 3885, 14324, 6306, 267, 543, 2950, 10969, 730, 780, 3086, 267, 1310, 865, 1454, 1928, 543, 7092, 267, 930, 12703, 2043, 4956, 789, 4941, 547, 948, 3142, 4708, 543, 9322, 1394, 547, 8644, 4997, 269, 1358, 2813, 513, 2027, 1867, 1572, 519, 834, 23871, 3578, 543, 26532, 16624, 8189, 630, 307, 13612, 264, 7797, 2437, 799, 7396, 1004, 945, 1522, 723, 8329, 547, 519, 4655, 2901, 676, 10283, 538, 10795, 6411, 2933, 610, 5885, 1866, 945, 1705, 269, 898, 781, 899, 2348, 513, 1592, 540, 1004, 945, 13264, 3652, 538, 513, 3014, 543, 23115, 856, 2081, 547, 4368, 1919, 1927, 780, 3383, 1946, 1281, 1022, 540, 713, 2339, 1631, 286, 4270, 267, 1317, 1346, 3743, 585, 9292, 1154, 1866, 1869, 991, 547, 3068, 4539, 585, 741, 3527, 269, 1656, 1175, 899, 538, 513, 4928, 1141, 3610, 2232, 3765, 2041, 8326, 547, 2226, 1931, 267, 2477, 849, 3715, 10470, 547, 2327, 3025, 5205, 519, 1876, 269, 1280, 8644, 4997, 267, 3646, 616, 25093, 547, 1711, 513, 2027, 2186, 540, 5480, 1572, 519, 834, 23219, 543, 9483, 9197, 1307, 7040, 1701 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14370, 320, 317, 273, 1341, 536, 317, 273, 264, 910, 536, 14370, 320, 317, 273, 1341, 536, 317, 273, 264, 2608, 1775, 27471, 291, 1204, 532, 513, 1950, 1297, 2387, 320, 1341, 1775, 2608, 536, 319, 676, 1776, 2387, 322, 1341, 1775, 2608, 546, 319, 3947, 281, 25464, 320, 1341, 1775, 2608, 536, 264, 1315, 630, 322, 1341, 1775, 2608, 546, 264, 815, 630, 320, 2608, 524, 1341, 536, 2608, 546, 19422, 322, 317, 273, 1341, 546, 317, 273, 264, 1341, 630, 321, 2608, 524, 910, 513, 2608, 546, 19422, 322, 317, 273, 1341, 546, 317, 273, 264, 2608, 1775, 27471, 26244, 2358, 552, 547, 513, 1950, 20800, 666, 581, 6829, 607, 2387, 324, 22677, 320, 1341, 1775, 2608, 536, 264, 815, 552, 317, 320, 2608, 552, 22677, 328, 2608, 536, 264, 12452, 519, 2063, 2165, 540, 799, 568, 2016, 676, 25586, 781, 4542, 2387, 324, 22677, 328, 2608, 536, 264, 815, 5430, 6357, 264, 1341, 1775, 2608, 5609, 6357, 23375, 780, 25363, 618, 519, 1739, 4238, 1384, 1892, 1840, 267, 12408, 267, 8691, 543, 6498, 540, 1079, 1950, 2338, 2676, 1892, 31669, 267, 6207, 1871, 267, 20800, 540, 513, 2016, 1950, 1297, 780, 10112, 2541, 519, 5752, 1893, 596, 616, 1210, 1281, 711, 723, 606, 6388, 540, 1950, 2338, 780, 1012, 26121, 519, 4255, 692, 2414, 2196, 519, 4255, 267, 2196, 519, 4971, 2387, 25346, 6339, 1449, 319, 689, 1369, 519, 3635, 15682, 780, 22873, 6053, 267, 1152, 519, 1101, 1449, 786, 581, 13087, 269, 901, 568, 547, 5000, 596, 547, 4194, 519, 3635, 835, 1900, 693, 513, 942, 269, 4495, 596, 1205, 519, 1101, 1449, 8429, 267, 4894, 519, 2387, 20597, 760, 319, 3959, 689, 519, 1985, 1449, 543, 960, 593, 3478, 602, 1449, 8429, 269, 4495, 9039, 540, 519, 4255, 616, 1236, 5792, 543, 789, 616, 782, 8429, 267, 596, 666, 10505, 707, 3070, 1210, 2387, 1410, 2075, 1143, 10505, 13216, 301, 13246, 6983, 338, 26384, 1012, 4329, 1344, 692, 2690, 811, 2143, 1344, 827, 519, 595, 258, 3950, 267, 1519, 875, 547, 1205, 948, 952, 596, 2811, 2348, 8373, 267, 5225, 3643, 519, 2624, 1143, 269, 1470, 595, 258, 1893, 2985, 780, 1012, 4427, 2466, 1154, 769, 14814, 10298, 692, 2005, 781, 2009, 547, 10505, 606, 18106, 3070, 865, 596, 666, 1294, 875, 1866, 723, 6192, 519, 3635, 780, 2162, 13216, 301, 13246, 14818, 6983, 338, 692, 18606, 2260, 901, 3758, 729, 10081, 24378, 1759, 593, 4528, 476, 272, 269, 274, 269, 271, 540, 519, 28138, 1239, 780, 6748, 3590, 3248, 6748, 2473, 22780, 16963, 21504, 1362, 13216, 301, 13246, 14818, 454, 19127, 314, 15542, 2639, 21504, 20704, 7464, 318, 4820, 15058, 19963, 7272, 675, 569, 318, 9418, 20311, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 272, 267, 521, 583, 269, 18600, 3890, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 7464, 318, 4820, 15058, 19963, 7272, 675, 569, 318, 19960, 2435, 20311, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 271, 267, 476, 272, 11850, 10112, 1068, 9950, 23974, 263, 271, 267, 521, 583, 269, 18600, 3890, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 7464, 318, 4820, 15058, 19963, 20311, 318, 5976, 318, 9418, 318, 663, 318, 19960, 2435, 318, 4820, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 273, 11850, 10112, 1068, 9950, 23974, 263, 272, 267, 521, 583, 269, 18600, 3890, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 22569, 2435, 318, 4820, 15058, 19963, 7272, 675, 569, 318, 9418, 20311, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 271, 267, 521, 583, 269, 3412, 698, 2435, 3890, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 22569, 2435, 318, 4820, 15058, 19963, 7272, 675, 569, 318, 19960, 2435, 20311, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 271, 267, 476, 272, 11850, 10112, 1068, 9950, 23974, 263, 272, 267, 521, 583, 269, 3412, 698, 2435, 3890, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 22569, 2435, 318, 4820, 15058, 19963, 20311, 318, 5976, 318, 9418, 318, 663, 318, 19960, 2435, 318, 4820, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 273, 11850, 10112, 1068, 9950, 23974, 263, 273, 267, 521, 583, 269, 3412, 698, 2435, 3890, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 22569, 2435, 318, 22780, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 271, 267, 476, 272, 11850, 12534, 4397, 815, 1007, 13216, 10831, 8987, 272, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 271, 267, 476, 272, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 271, 267, 476, 272, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 271, 11850, 12534, 4397, 815, 1007, 13216, 10831, 263, 274, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 269, 11754, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 269, 11754, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 271, 267, 476, 272, 11850, 12534, 4397, 815, 1007, 13216, 10831, 263, 271, 267, 476, 274, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 269, 11754, 28956, 13216, 10831, 263, 271, 267, 476, 273, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 269, 11754, 28956, 13216, 10831, 263, 271, 267, 476, 273, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 273, 11850, 12534, 4397, 815, 1007, 13216, 10831, 263, 275, 267, 476, 277, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 269, 11754, 28956, 13216, 10831, 263, 274, 267, 476, 275, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 269, 11754, 28956, 13216, 10831, 263, 274, 267, 476, 275, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 16265, 847, 7272, 675, 569, 318, 9418, 5332, 13246, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 271, 11850, 12534, 4397, 815, 1007, 13216, 10831, 8987, 272, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 2529, 889, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 2529, 889, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 16265, 847, 7272, 675, 569, 318, 19960, 2435, 5332, 13246, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 271, 267, 476, 272, 11850, 12534, 4397, 815, 1007, 13216, 10831, 263, 271, 267, 910, 272, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 2529, 889, 28956, 13216, 10831, 263, 271, 267, 476, 273, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 2529, 889, 28956, 13216, 10831, 263, 271, 267, 476, 273, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 16265, 847, 5332, 13246, 318, 5976, 318, 9418, 318, 663, 318, 19960, 2435, 318, 4820, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 273, 11850, 12534, 4397, 815, 1007, 13216, 10831, 8987, 273, 267, 910, 273, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 2529, 889, 28956, 13216, 10831, 263, 274, 267, 476, 275, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 2529, 889, 28956, 13216, 10831, 263, 274, 267, 476, 275, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 25092, 7272, 675, 569, 318, 9418, 5332, 13246, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 271, 11850, 12534, 4397, 815, 1007, 13216, 10831, 263, 273, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 25092, 7272, 675, 569, 318, 19960, 2435, 5332, 13246, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 271, 267, 476, 272, 11850, 12534, 4397, 815, 1007, 13216, 10831, 8987, 273, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 271, 267, 476, 273, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 271, 267, 476, 273, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 25092, 5332, 13246, 318, 5976, 318, 9418, 318, 663, 318, 19960, 2435, 318, 4820, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 273, 11850, 12534, 4397, 815, 1007, 13216, 10831, 8987, 276, 267, 476, 1015, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 274, 267, 476, 275, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 274, 267, 476, 275, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 19147, 7272, 675, 569, 318, 9418, 5332, 13246, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 271, 11850, 12534, 4397, 815, 1007, 13216, 10831, 263, 271, 269, 276, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 6185, 643, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 6185, 643, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 14232, 476, 1708, 271, 9550, 267, 610, 596, 2461, 4712, 547, 4497, 609, 513, 623, 15425, 8116, 547, 1491, 936, 707, 623, 15425, 5859, 3646, 267, 649, 666, 948, 269, 15439, 3346, 721, 2221, 547, 2769, 707, 2115, 676, 10912, 630, 20969, 264, 476, 27768, 268, 6812, 275, 276, 267, 4757, 532, 18078, 17106, 11333, 3820, 267, 610, 11423, 856, 938, 2228, 3346, 1106, 563, 8253, 2462, 593, 2542, 286, 2334, 779, 15502, 269, 13772, 968, 1692, 519, 476, 1708, 271, 30760, 17897, 18748, 623, 15425, 22411, 338, 892, 3079, 563, 8794, 519, 1379, 540, 14464, 11106, 267, 649, 5828, 713, 5816, 883, 513, 3381, 585, 596, 269, 6744, 621, 856, 2630, 2336, 4131, 779, 12706, 2659, 8921, 7913, 8605, 454, 19185, 547, 14736, 11325, 707, 1788, 538, 519, 1985, 476, 1789, 268, 3445, 2395, 888, 4131, 779, 1376, 4058, 256, 0, 11990, 14977, 526, 718, 729, 4535, 593, 476, 273, 526, 4864, 476, 9264, 271, 538, 2274, 662, 4802, 8822, 267, 3213, 2961, 869, 1934, 912, 2026, 4166, 607, 646, 729, 2111, 267, 1762, 14977, 526, 718, 2451, 1753, 547, 960, 585, 519, 18103, 333, 766, 11752, 267, 1101, 538, 8581, 630, 10111, 869, 267, 962, 965, 531, 267, 918, 1231, 1446, 1070, 855, 2663, 22151, 547, 2776, 8725, 267, 19903, 1662, 790, 269, 898, 568, 1175, 2009, 602, 646, 5249, 585, 5261, 11023, 1146, 267, 5619, 532, 7841, 1811, 269, 4014, 646, 729, 16994, 593, 519, 13964, 267, 5619, 532, 729, 711, 3257, 1454, 585, 1010, 7214, 1646, 865, 646, 19801, 538, 3781, 5049, 693, 519, 23317, 4659, 538, 2776, 8725, 269, 2311, 519, 2085, 540, 476, 2767, 646, 3576, 909, 513, 2022, 3450, 1153, 538, 519, 3162, 540, 4789, 269, 1809, 1010, 1964, 1652, 6891, 3576, 1864, 547, 3057, 7921, 538, 5125, 1141, 646, 6192, 513, 12854, 609, 7917, 834, 289, 1248, 518, 257, 645, 684, 11420, 538, 513, 3043, 3905, 476, 273, 1296, 269, 1261, 24964, 607, 513, 4990, 540, 3621, 7784, 585, 16926, 2679, 513, 5458, 4871, 540, 17066, 543, 1344, 269, 2755, 593, 519, 11782, 267, 646, 2919, 513, 6612, 585, 7823, 324, 1359, 543, 9126, 3022, 513, 1297, 540, 834, 14140, 9721, 257, 19589, 538, 519, 32595, 269, 30609, 1431, 538, 519, 1164, 2312, 2011, 1500, 1864, 2992, 593, 5982, 543, 646, 729, 519, 1101, 1268, 547, 24808, 519, 2596, 3741, 540, 519, 8511, 1198, 269, 1261, 568, 849, 20295, 609, 519, 1655, 2038, 7778, 585, 875, 519, 4396, 4672, 540, 22260, 12599, 24491, 8393, 1524, 24824, 269, 3571, 7279, 827, 519, 2067, 1158, 7074, 602, 519, 6607, 729, 4544, 267, 513, 1249, 799, 1034, 540, 721, 1491, 585, 19309, 11292, 282, 855, 14977, 526, 718, 5249, 856, 689, 2168, 1101, 3741, 1946, 519, 6607, 568, 4544, 269, 1261, 729, 11221, 547, 519, 9576, 5980, 538, 476, 6977, 273, 538, 6284, 540, 1010, 32032, 7418, 910, 11508, 267, 1769, 267, 6850, 2173, 24599, 1143, 267, 3002, 267, 20569, 267, 3280, 267, 8762, 5735, 281, 5555, 476, 15704, 6101, 3621, 4574, 543, 693, 2547, 1614, 2442, 2835, 14333, 630, 5908, 274, 1070, 14675, 630, 5908, 278, 1070, 543, 8752, 630, 6942, 274, 1040, 898, 729, 2141, 1271, 602, 646, 4769, 1405, 6336, 519, 1875, 1606, 2133, 626, 281, 834, 1103, 519, 1739, 3817, 594, 723, 6836, 547, 11904, 519, 2257, 540, 1035, 24065, 923, 4277, 547, 782, 10995, 7606, 267, 1519, 1346, 945, 798, 711, 4865, 1022, 2027, 3621, 2528, 269, 634, 1641, 568, 5701, 4603, 958, 2429, 267, 543, 594, 723, 14365, 10696, 865, 547, 1747, 1142, 4603, 1354, 519, 5467, 602, 646, 1058, 29311, 621, 607, 606, 4890, 5106, 1701, 14977, 526, 718, 729, 519, 13423, 3912, 540, 519, 1582, 2389, 4381, 16972, 14671, 987, 543, 6785, 782, 519, 1866, 269, 1261, 729, 513, 13653, 4759, 540, 519, 2473, 12641, 889, 267, 606, 27592, 26209, 10865, 12129, 8630, 267, 799, 1558, 5781, 585, 476, 1789, 1296, 269, 1703, 1079, 3368, 2093, 1223, 25483, 1472, 519, 3349, 547, 1831, 513, 1449, 762, 8367, 563, 296, 723, 15504, 593, 14977, 526, 718, 781, 10359, 1354, 1496, 4462, 4385, 814, 5063, 20024, 513, 1279, 13181, 6085, 896, 602, 2022, 316, 543, 1354, 602, 269, 8751, 6563, 693, 476, 9610, 271, 327, 3464, 972, 568, 2469, 547, 513, 606, 593, 11060, 8131, 9349, 1623, 24007, 1496, 763, 2817, 626, 281, 10324, 5758, 316, 22555, 676, 519, 17709, 2961, 869, 6019, 7467, 269, 0, 305, 327, 514, 6955, 7360, 6391, 267, 849, 1634, 607, 513, 9224, 2816, 267, 568, 2966, 547, 7369, 519, 2450, 543, 3337, 540, 519, 9224, 547, 3035, 606, 8353, 24312, 24886, 5920, 543, 3986, 11132, 2934, 269, 1703, 616, 1896, 1114, 2010, 540, 9224, 5546, 267, 543, 519, 10551, 4480, 2838, 547, 2953, 1142, 835, 786, 4096, 593, 2436, 606, 1930, 28591, 6955, 7360, 610, 6806, 28591, 6955, 7360, 568, 5645, 856, 563, 7212, 1930, 28591, 6955, 7360, 568, 519, 1034, 4122, 5340, 5650, 267, 513, 6806, 28591, 6955, 7360, 666, 581, 606, 2500, 4480, 585, 14013, 5697, 2550, 563, 1432, 568, 606, 1930, 28591, 6955, 7360, 888, 15411, 28591, 6955, 7360, 568, 513, 11285, 9224, 18534, 12686, 5650, 1031, 585, 2550, 945, 2154, 1713, 960, 547, 519, 17725, 20162, 543, 536, 3415, 5943, 269, 634, 5650, 3322, 1818, 606, 1651, 1707, 538, 519, 897, 636, 7578, 267, 799, 568, 519, 4571, 1467, 15123, 1506, 1858, 540, 2960, 1063, 519, 1079, 19911, 337, 2812, 693, 519, 3490, 540, 519, 9224, 269, 4495, 519, 3355, 2960, 1651, 1707, 814, 1044, 1500, 267, 519, 18874, 5402, 9356, 519, 2960, 2476, 689, 519, 9224, 779, 5817, 5642, 543, 20162, 5943, 269, 901, 2636, 2347, 3308, 5314, 540, 782, 519, 1898, 3889, 540, 519, 9224, 799, 2154, 15494, 269, 4495, 519, 5650, 814, 1044, 6192, 267, 519, 897, 636, 7578, 568, 521, 1956, 323, 609, 1875, 1673, 1170, 565, 15344, 25573, 269, 634, 9224, 568, 21039, 609, 513, 4496, 1532, 17977, 17371, 10943, 842, 799, 568, 5402, 4294, 547, 519, 9224, 267, 4553, 676, 17516, 11746, 563, 763, 10943, 842, 568, 2966, 547, 2149, 519, 1898, 17725, 3889, 267, 1519, 519, 536, 3415, 851, 540, 519, 9224, 267, 799, 949, 723, 1044, 5762, 3293, 607, 851, 540, 519, 5642, 18534, 12686, 269, 634, 10943, 842, 568, 6854, 593, 585, 835, 3018, 1354, 1373, 6569, 676, 2022, 268, 10869, 11923, 267, 543, 519, 1875, 1673, 1170, 565, 15344, 25573, 786, 581, 6569, 563, 15411, 28591, 6955, 7360, 568, 519, 4998, 5650, 585, 2550, 945, 723, 1713, 7293, 12889, 540, 519, 9224, 267, 971, 607, 513, 5186, 12097, 9224, 610, 513, 1821, 7007, 9224, 269, 2353, 14469, 28591, 6955, 7360, 6391, 568, 5645, 856, 1210, 519, 1930, 28591, 6955, 7360, 1935, 269, 1403, 20162, 21910, 532, 568, 2838, 267, 519, 1930, 1935, 568, 519, 9053, 4781, 607, 519, 18874, 666, 8308, 3308, 1047, 519, 20162, 538, 1614, 7516, 563, 1432, 568, 513, 6806, 28591, 6955, 7360, 888, 5141, 2216, 28591, 6955, 7360, 568, 1447, 4122, 5340, 3379, 609, 606, 1930, 28591, 6955, 7360, 269, 2060, 6806, 28591, 6955, 7360, 6391, 267, 972, 616, 1100, 5007, 2960, 1651, 2888, 267, 543, 782, 10551, 1651, 2888, 616, 1500, 1369, 519, 9224, 2059, 519, 10347, 29935, 9245, 16298, 269, 9521, 1930, 28591, 6955, 7360, 267, 799, 814, 606, 1651, 1707, 4092, 593, 519, 2960, 540, 519, 897, 636, 7578, 267, 6806, 28591, 6955, 7360, 568, 5645, 856, 1210, 606, 1439, 517, 29569, 4480, 269, 634, 6806, 1935, 1281, 711, 11863, 2347, 3308, 5314, 540, 519, 5642, 543, 20162, 5943, 540, 519, 9224, 543, 568, 513, 4480, 1031, 676, 1360, 4810, 28591, 6955, 7360, 23262, 563, 1432, 616, 519, 5294, 543, 931, 540, 1930, 543, 6806, 28591, 6955, 7360, 888, 288, 6806, 28591, 6955, 7360, 5650, 1281, 711, 1267, 538, 7298, 26711, 607, 782, 1651, 2888, 616, 1500, 3330, 519, 9224, 269, 634, 28591, 6955, 7360, 6051, 1310, 519, 6806, 1935, 568, 1454, 18334, 982, 606, 1930, 4480, 607, 6806, 5773, 616, 18334, 547, 1685, 609, 1447, 20015, 2358, 543, 11926, 563, 5141, 2216, 28591, 6955, 7360, 568, 1152, 5078, 585, 1978, 4145, 971, 607, 24725, 1208, 335, 5786, 610, 3551, 9133, 18534, 12686, 269, 2859, 3573, 6391, 547, 519, 9224, 786, 2154, 606, 1930, 1935, 269, 1703, 568, 1100, 835, 4998, 4480, 585, 28591, 6955, 7360, 607, 621, 786, 4096, 593, 513, 3461, 779, 3853, 585, 2126, 543, 8939, 606, 3617, 1544, 547, 1205, 519, 4998, 28591, 6955, 7360, 2164, 563, 1692, 1454, 1281, 6806, 28591, 6955, 7360, 1942, 888, 305, 327, 514, 6955, 7360, 6391, 6238, 689, 11278, 4335, 271, 693, 10418, 585, 17889, 538, 5507, 269, 634, 3169, 28591, 6955, 7360, 1942, 786, 4096, 593, 1896, 2188, 267, 1519, 519, 2179, 540, 960, 2838, 267, 1519, 519, 991, 585, 20162, 21910, 532, 543, 2436, 513, 3119, 28591, 6955, 7360, 610, 513, 14469, 28591, 6955, 7360, 568, 1373, 5645, 856, 269, 1849, 2216, 28591, 6955, 7360, 568, 18334, 547, 1685, 543, 267, 4061, 267, 811, 10097, 982, 1930, 28591, 6955, 7360, 269, 4495, 596, 723, 1185, 707, 3068, 3562, 19904, 15360, 609, 835, 540, 938, 4274, 9224, 2816, 23262, 267, 596, 786, 4309, 606, 4977, 19722, 689, 707, 6131, 3461, 4717, 13541, 563, 1692, 1279, 1281, 6806, 28591, 6955, 7360, 1491, 547, 1685, 888, 2304, 9296, 6088, 6806, 28591, 6955, 7360, 6391, 693, 10418, 585, 17889, 666, 1491, 5111, 835, 5662, 269, 2859, 1950, 10411, 10614, 17725, 6391, 666, 2154, 811, 982, 476, 274, 547, 476, 275, 3108, 269, 634, 3169, 942, 2877, 547, 4163, 856, 519, 5650, 786, 8428, 1063, 2043, 607, 930, 22775, 885, 786, 581, 4443, 547, 2953, 982, 1866, 563, 5475, 519, 5650, 568, 2347, 267, 646, 786, 20354, 9156, 538, 513, 1554, 6391, 20758, 585, 909, 547, 476, 274, 3108, 269, 4495, 596, 616, 16363, 1199, 1227, 3514, 585, 11166, 267, 938, 2022, 268, 10869, 8808, 2319, 786, 2285, 707, 2937, 27877, 2407, 2022, 268, 10869, 5528, 593, 1018, 547, 798, 269, 898, 568, 5227, 602, 513, 3743, 2937, 5654, 1310, 596, 585, 519, 1101, 476, 2190, 547, 476, 4366, 3108, 1310, 28591, 6955, 7360, 6391, 563, 3674, 6806, 28591, 6955, 7360, 6051, 18334, 3379, 609, 519, 1930, 1935, 888, 763, 7067, 942, 585, 6806, 28591, 6955, 7360, 568, 1419, 1454, 18334, 982, 606, 1930, 28591, 6955, 7360, 267, 607, 621, 568, 513, 30194, 12362, 5650, 269, 2920, 783, 28591, 6955, 7360, 6051, 2053, 786, 8428, 4470, 593, 519, 10551, 15494, 5645, 856, 282, 2705, 267, 519, 6051, 1184, 666, 581, 5688, 2213, 676, 735, 2391, 609, 519, 18874, 779, 2022, 268, 10869, 5528, 563, 2171, 4363, 602, 2550, 581, 1055, 960, 585, 5111, 835, 3018, 547, 1450, 1697, 1964, 543, 2057, 6117, 513, 1286, 585, 519, 1101, 1079, 4374, 269, 898, 1131, 581, 1655, 547, 2119, 547, 3207, 593, 707, 1394, 585, 519, 1101, 3670, 4374, 1310, 6391, 543, 23295, 581, 605, 5529, 909, 609, 476, 273, 547, 476, 274, 10788, 3298, 865, 602, 596, 798, 711, 9114, 6366, 269, 898, 1131, 948, 547, 2057, 1463, 7943, 4598, 547, 519, 9224, 547, 6922, 1047, 1085, 18732, 610, 5409, 335, 580, 7695, 563, 7197, 2550, 666, 16056, 2168, 2238, 1310, 2185, 4374, 267, 1519, 4638, 2534, 267, 855, 649, 4363, 9319, 588, 1066, 6681, 3635, 585, 3670, 4374, 1310, 519, 6391, 269, 14904, 666, 2503, 547, 9156, 4628, 676, 3670, 4374, 267, 1141, 1034, 540, 519, 20015, 2358, 543, 11926, 1058, 7017, 1524, 1310, 6806, 28591, 6955, 7360, 269, 3776, 2022, 268, 10869, 8808, 2319, 786, 1433, 513, 835, 22173, 13393, 547, 1294, 596, 1310, 519, 6391, 547, 2689, 707, 1651, 1707, 4609, 547, 1118, 2386, 789, 12115, 5265, 269, 2659, 10943, 842, 786, 849, 581, 6569, 267, 543, 596, 949, 581, 4280, 547, 3136, 7311, 6960, 11746, 547, 519, 9224, 585, 519, 1985, 1079, 4374, 269, 2659, 18874, 786, 2689, 596, 3670, 4374, 1310, 519, 5650, 563, 8489, 568, 519, 1655, 1747, 585, 6806, 28591, 6955, 7360, 538, 519, 5177, 888, 1103, 1840, 547, 6806, 28591, 6955, 7360, 267, 938, 11285, 23262, 5781, 1685, 1930, 28591, 6955, 7360, 267, 11002, 3626, 2389, 760, 6391, 267, 31027, 528, 327, 514, 6955, 7360, 543, 6803, 28591, 6955, 7360, 630, 28893, 9224, 2816, 1040, 634, 1034, 3617, 9224, 6391, 4480, 786, 581, 4956, 2390, 2899, 596, 723, 1044, 12290, 693, 707, 3068, 3562, 19904, 15360, 269, 1284, 616, 26752, 547, 723, 930, 540, 519, 1655, 28591, 6955, 7360, 23262, 538, 519, 5177, 5781, 8876, 856 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 453, 19677, 15030, 10248, 1805, 4169, 815, 654, 10248, 1805, 4169, 692, 22592, 1039, 3080, 273, 31296, 8266, 4311, 267, 14351, 476, 2187, 453, 19677, 15030, 10248, 1805, 4169, 6910, 263, 1805, 1442, 3738, 3097, 453, 453, 258, 11133, 8170, 310, 10248, 815, 1003, 8170, 310, 10248, 1341, 476, 272, 692, 453, 18411, 453, 3041, 645, 4953, 9898, 9215, 717, 4953, 5990, 595, 7838, 305, 7728, 11550, 293, 3951, 20978, 681, 15477, 2562, 9816, 7495, 3097, 22592, 1699, 13707, 3682, 7257, 10031, 453, 22610, 1775, 538, 1582, 269, 1805, 4169, 3097, 4848, 453, 328, 269, 9690, 25820, 6262, 318, 1326, 14483, 25820, 3738, 1948, 524, 318, 1326, 14483, 25820, 786, 1205, 519, 3902, 540, 1699, 1805, 1442, 454, 453, 18257, 7531, 22592, 1305, 14483, 3682, 7257, 630, 1345, 267, 7351, 11266, 1993, 527, 2187, 453, 19677, 5861, 584, 1370, 3682, 7257, 815, 7351, 11266, 1993, 527, 3097, 453, 13537, 9497, 763, 7351, 30825, 568, 476, 834, 2073, 1582, 5861, 584, 1370, 3682, 7257, 2020, 22592, 1305, 290, 1662, 4311, 267, 22418, 2187, 453, 19677, 5861, 1662, 815, 22418, 19638, 19638, 7531, 0, 454, 3698, 31693, 3799, 2187, 825, 952, 562, 2525, 273, 912, 1038, 2132, 476, 272, 454, 825, 8640, 562, 2525, 274, 912, 1038, 2132, 476, 272, 454, 825, 3116, 912, 1038, 2040, 284, 271, 454, 1038, 585, 1775, 538, 2039, 263, 273, 19885, 2187, 2018, 2040, 284, 8999, 266, 1372, 1260, 2821, 9217, 12684, 1372, 1260, 2821, 3799, 25829, 266, 272, 994, 1038, 2132, 2040, 454, 333, 284, 277, 454, 258, 1104, 19073, 321, 454, 258, 19073, 321, 15630, 4671, 15869, 4590, 2745, 263, 1372, 1260, 2821, 3799, 4297, 0, 692, 3698, 645, 4306, 3799, 2187, 825, 952, 562, 2525, 271, 610, 562, 2525, 272, 912, 1038, 2132, 476, 272, 454, 825, 3116, 912, 1038, 2040, 284, 271, 454, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 2040, 284, 8999, 266, 289, 4306, 9217, 12684, 289, 4306, 3799, 268, 272, 25829, 994, 1038, 2132, 2040, 692, 333, 284, 273, 454, 2745, 16360, 4306, 3799, 4297, 0, 320, 284, 476, 1496, 276, 267, 476, 277, 267, 476, 278, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 275, 2639, 258, 513, 17342, 6872, 267, 476, 5780, 267, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 4029, 267, 476, 3953, 2639, 3698, 1265, 28804, 328, 263, 8527, 622, 267, 3847, 267, 2431, 2187, 825, 1948, 1104, 19073, 321, 454, 825, 1948, 19073, 321, 15630, 4671, 15869, 4590, 825, 952, 1318, 268, 3847, 2525, 271, 912, 1038, 2132, 17967, 314, 3847, 2639, 825, 8640, 1318, 268, 3847, 2525, 272, 912, 1038, 952, 17967, 314, 3847, 316, 283, 8527, 622, 314, 2431, 14158, 2018, 2132, 17967, 314, 3847, 2639, 1038, 3116, 912, 2018, 2132, 17967, 314, 2431, 2639, 825, 4571, 25507, 9230, 3847, 266, 2431, 8358, 273, 994, 825, 5934, 284, 2381, 8443, 8527, 622, 314, 3847, 3910, 8527, 622, 314, 13232, 3910, 8527, 622, 314, 13232, 266, 272, 3910, 8527, 622, 314, 2431, 316, 7481, 825, 952, 17967, 28827, 263, 2381, 3065, 264, 2525, 3847, 610, 17967, 28827, 263, 2381, 3065, 264, 2525, 13232, 912, 1038, 2132, 1265, 28804, 328, 263, 8527, 622, 267, 3847, 267, 13232, 994, 825, 3116, 912, 1038, 2132, 1265, 28804, 328, 263, 8527, 622, 267, 13232, 266, 272, 267, 2431, 994, 825, 1948, 952, 17967, 314, 13232, 316, 283, 8527, 622, 314, 2431, 316, 610, 17967, 314, 3847, 316, 283, 8527, 622, 314, 2431, 14158, 825, 1948, 672, 2132, 1265, 28804, 328, 263, 8527, 622, 267, 3847, 267, 13232, 994, 825, 1948, 3116, 912, 825, 1948, 672, 2132, 1265, 28804, 328, 263, 8527, 622, 267, 13232, 266, 272, 267, 2431, 2020, 2745, 6600, 785, 28804, 328, 5416, 267, 271, 267, 6352, 5416, 9984, 272, 4917, 0, 3698, 4847, 5091, 908, 318, 720, 30044, 318, 720, 2187, 825, 6690, 318, 720, 815, 1250, 318, 720, 270, 273, 1341, 476, 278, 454, 825, 2132, 6690, 318, 720, 692, 518, 923, 318, 3916, 527, 815, 4847, 5091, 908, 318, 720, 263, 5655, 994, 329, 3996, 318, 3916, 527, 815, 4847, 5091, 908, 318, 720, 263, 5392, 994, 2745, 2891, 292, 878, 666, 4266, 6690, 4939, 323, 610, 4587, 8442, 4939, 2144, 923, 318, 3916, 527, 454, 2745, 2891, 297, 4141, 666, 4266, 6690, 4939, 323, 610, 4587, 8442, 4939, 3675, 525, 318, 3916, 527, 692, 258, 4208, 1810, 1405, 891, 16493, 1413, 519, 1482, 607, 519, 5850, 888, 28744, 2891, 292, 878, 666, 4266, 6690, 2580, 2144, 923, 318, 3916, 527, 267, 834, 528, 4587, 5602, 28744, 2891, 297, 4141, 666, 4266, 6690, 2580, 3675, 525, 318, 3916, 527, 267, 834, 528, 4587, 15419, 0, 258, 7046, 513, 3758, 609, 2328, 27704, 454, 325, 342, 815, 1930, 3488, 338, 2217, 17902, 3299, 1412, 342, 17210, 325, 342, 22182, 3488, 16240, 930, 8631, 538, 1250, 1257, 3758, 14826, 5073, 325, 342, 22182, 3488, 296, 899, 28019, 5073, 325, 342, 25379, 10797, 325, 337, 815, 1930, 3488, 338, 2217, 17902, 3299, 1412, 337, 17210, 258, 3367, 782, 540, 3758, 543, 2322, 883, 5569, 454, 3667, 815, 9992, 18667, 3890, 22322, 2745, 29495, 994, 325, 337, 25379, 3890 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2735, 279, 269, 834, 29493, 7781, 30691, 607, 2447, 582, 19414, 5669, 3197, 585, 715, 553, 583, 527, 1069, 525, 8970, 9528, 630, 300, 1824, 577, 6160, 5652, 264, 543, 715, 269, 552, 874, 337, 1092, 324, 630, 29804, 16936, 1066, 264, 630, 3674, 30601, 281, 12910, 527, 13160, 1040, 257, 7788, 1023, 540, 519, 9980, 558, 1670, 5980, 540, 3013, 476, 10037, 281, 476, 4375, 276, 1700, 274, 4200, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 11820, 274, 21669, 525, 320, 270, 10037, 269, 274, 269, 4375, 276, 454, 297, 7491, 636, 8121, 267, 22216, 21884, 808, 300, 267, 17384, 631, 269, 476, 2735, 272, 269, 834, 11328, 13905, 1063, 519, 21426, 540, 20521, 4054, 538, 2558, 514, 21059, 543, 519, 17605, 5900, 320, 524, 31525, 4925, 543, 25069, 8619, 838, 1701, 4750, 540, 11930, 17905, 476, 1240, 630, 272, 2567, 476, 6942, 1700, 4198, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15996, 278, 270, 13301, 27886, 279, 454, 299, 889, 514, 962, 291, 267, 27293, 717, 294, 269, 476, 2735, 272, 269, 834, 9377, 5151, 540, 715, 553, 583, 527, 1069, 525, 30412, 630, 3674, 30601, 267, 12910, 527, 13160, 264, 1996, 23111, 663, 7699, 24970, 11596, 630, 292, 4823, 1092, 267, 3733, 3944, 1815, 15047, 13160, 1040, 257, 645, 3999, 1886, 3821, 476, 1724, 281, 476, 5780, 1700, 10602, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15996, 278, 270, 24487, 4281, 278, 273, 454, 306, 3832, 742, 571, 18255, 681, 295, 267, 16410, 516, 571, 645, 297, 267, 918, 1716, 18040, 267, 2672, 715, 25286, 269, 476, 1220, 273, 269, 834, 301, 553, 583, 527, 1069, 525, 1942, 23653, 630, 3674, 30601, 281, 12910, 527, 13160, 264, 538, 8419, 281, 3689, 2594, 540, 513, 1875, 15134, 2438, 10661, 676, 513, 2362, 2165, 924, 1701, 8419, 9980, 558, 6048, 476, 5952, 281, 476, 24129, 1700, 22550, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 13679, 274, 270, 9826, 276, 268, 29024, 271, 263, 1220, 273, 264, 5400, 276, 314, 271, 2767, 274, 281, 301, 5746, 2316, 293, 316, 273, 269, 271, 269, 4596, 282, 273, 454, 306, 3832, 742, 571, 18255, 681, 295, 267, 670, 5255, 332, 1515, 670, 295, 267, 918, 1716, 18040, 267, 2782, 1676, 808, 267, 918, 516, 576, 330, 808, 267, 26527, 1690, 327, 645, 267, 16410, 516, 571, 645, 297, 267, 670, 1157, 2006, 681, 289, 269, 476, 1001, 275, 269, 834, 307, 1173, 9643, 17594, 540, 519, 16678, 2165, 924, 267, 715, 553, 583, 527, 1069, 525, 8970, 9528, 630, 3674, 30601, 281, 12910, 527, 13160, 281, 715, 553, 583, 527, 1069, 527, 2088, 324, 1070, 689, 1102, 6479, 8778, 338, 538, 25878, 8419, 1701, 4139, 4750, 540, 28814, 5004, 476, 2568, 281, 476, 280, 1700, 2641, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 6021, 277, 3583, 279, 10619, 269, 1001, 275, 269, 6434, 273, 276, 2764, 454, 306, 3832, 742, 571, 18255, 681, 295, 267, 918, 516, 576, 330, 808, 267, 590, 345, 531, 753, 7288, 9338, 267, 21388, 808, 310, 269, 476, 1220, 276, 269, 834, 26239, 7716, 344, 540, 683, 582, 7211, 818, 321, 648, 531, 30412, 715, 553, 583, 527, 1069, 525, 8970, 9528, 543, 715, 269, 1942, 23653, 630, 3674, 30601, 281, 12910, 527, 13160, 281, 715, 553, 583, 527, 1069, 527, 2088, 324, 1070, 609, 2963, 689, 19916, 267, 11976, 267, 543, 6915, 613, 2762, 1701, 7788, 1023, 540, 519, 9980, 558, 1670, 5980, 540, 3013, 476, 7176, 281, 476, 24129, 1700, 27005, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 8182, 274, 270, 9826, 274, 268, 9262, 275, 277, 263, 1220, 276, 264, 6021, 279, 314, 271, 2767, 274, 281, 306, 2177, 2969, 301, 316, 273, 269, 271, 269, 4596, 282, 273, 454, 1320, 11448, 19154, 269, 476, 2735, 275, 269, 834, 28139, 326, 2106, 344, 538, 519, 3026, 582, 7211, 2165, 924, 715, 553, 583, 527, 1069, 525, 8970, 9528, 281, 5020, 1686, 4539, 540, 15596, 8994, 1143, 1701, 19884, 17905, 543, 5081, 984, 5735, 476, 1691, 281, 476, 14056, 1700, 15793, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 20324, 293, 16573, 280, 866, 6734, 454, 1320, 11448, 19154, 267, 3143, 328, 8527, 595, 269, 476, 2735, 273, 269, 834, 11293, 326, 520, 1355, 1065, 6055, 1161, 538, 715, 553, 583, 527, 1069, 525, 8970, 9528, 630, 300, 1824, 577, 6160, 5652, 264, 630, 3674, 30601, 281, 12910, 527, 13160, 1040, 257, 4139, 4750, 540, 24538, 5651, 874, 1108, 543, 2506, 2421, 14347, 476, 1556, 281, 476, 22659, 1700, 26297, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 13478, 16573, 271, 268, 278, 3953, 273, 263, 11025, 264, 8517, 6187, 268, 279, 454, 307, 3757, 328, 10314, 808, 293, 267, 22084, 615, 595, 269, 476, 2735, 276, 269, 834, 31367, 7939, 540, 4874, 996, 1143, 1282, 25061, 538, 519, 683, 582, 7211, 2165, 924, 715, 553, 583, 527, 1069, 525, 1942, 23653, 1701, 4750, 540, 11906, 17905, 476, 1556, 281, 476, 29204, 1700, 28590, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 20324, 293, 26522, 14625, 1240, 0, 5415, 982, 513, 2929, 3979, 7980, 10692, 585, 7810, 7060, 538, 2622, 2782, 4083, 269, 2560, 3245, 476, 4350, 280, 7366, 540, 5215, 540, 4639, 3979, 7980, 941, 2366, 547, 519, 4395, 538, 2342, 269, 4032, 1652, 2367, 689, 519, 3703, 10125, 1185, 547, 4196, 607, 581, 31600, 543, 538, 824, 1875, 10687, 321, 520, 656, 5107, 563, 3963, 729, 4000, 1271, 538, 32685, 273, 888, 763, 6370, 585, 3345, 4000, 729, 513, 6560, 585, 1852, 540, 519, 590, 22222, 22575, 543, 1569, 547, 3282, 689, 519, 5664, 5101, 543, 6151, 2326, 689, 5607, 269, 2560, 13813, 538, 1880, 1185, 1831, 513, 2565, 7580, 20161, 1813, 547, 519, 2799, 2964, 1436, 540, 2413, 20679, 563, 1692, 1705, 4000, 1205, 3238, 538, 32685, 273, 888, 6624, 20338, 21821, 539, 1107, 610, 941, 931, 5296, 539, 676, 741, 7810, 14610, 267, 6628, 1107, 547, 4339, 519, 31196, 2477, 538, 2622, 2782, 476, 273, 269, 2560, 4706, 1847, 19430, 5333, 543, 6628, 547, 4431, 676, 30418, 2112, 593, 519, 31196, 4229, 540, 5125, 267, 3366, 676, 29747, 13609, 282, 7977, 267, 3366, 676, 5484, 17010, 631, 1380, 565, 7236, 282, 543, 3567, 267, 896, 31674, 7288, 1677, 14765, 563, 1432, 5949, 538, 4000, 1282, 2622, 2782, 476, 273, 888, 1103, 476, 3707, 271, 267, 7977, 779, 3673, 626, 9598, 1807, 5484, 17010, 631, 1380, 565, 7236, 4941, 547, 4228, 1010, 3979, 7276, 269, 3571, 4229, 538, 18629, 16091, 30240, 3703, 22590, 267, 855, 538, 476, 3707, 272, 941, 30461, 543, 17204, 269, 769, 15479, 687, 689, 8644, 5984, 883, 5527, 849, 1558, 14710, 563, 1432, 2477, 941, 3238, 538, 32685, 273, 538, 4000, 888, 763, 3345, 3979, 5859, 540, 519, 5822, 2622, 2782, 3576, 1747, 538, 3345, 4000, 689, 476, 1015, 4873, 476, 3707, 271, 547, 476, 1724, 2904, 476, 3707, 274, 269, 898, 3769, 11044, 10692, 538, 519, 8644, 12505, 543, 12266, 24301, 630, 310, 3480, 19164, 22411, 267, 849, 1634, 607, 519, 19164, 2782, 264, 543, 538, 25448, 543, 27988, 807, 630, 23330, 566, 8776, 577, 1070, 607, 1134, 607, 31512, 807, 630, 307, 684, 529, 807, 22411, 1916, 12441, 5125, 28117, 4000, 888, 3528, 476, 3707, 272, 267, 519, 7969, 7952, 1185, 1044, 782, 855, 29041, 543, 13609, 1185, 547, 6494, 4436, 10136, 547, 3345, 4000, 547, 2312, 856, 20466, 10136, 269, 634, 4436, 3196, 729, 1291, 676, 8210, 7773, 681, 2174, 601, 1107, 835, 540, 519, 20923, 1252, 1023, 540, 519, 2112, 269, 769, 4728, 476, 3707, 272, 267, 681, 2174, 601, 16091, 519, 27469, 538, 8644, 5984, 563, 12441, 6792, 4339, 538, 32685, 273, 888, 300, 1410, 4815, 2968, 606, 3742, 11350, 580, 5166, 538, 2622, 2782, 4083, 538, 476, 3707, 273, 1310, 5125, 521, 1678, 1079, 540, 922, 7382, 619, 269, 634, 11204, 4914, 23122, 267, 661, 2763, 638, 1408, 22087, 8759, 267, 3576, 519, 1291, 538, 28409, 824, 5824, 1977, 2477, 547, 1489, 519, 27469, 607, 1134, 269, 2560, 589, 1507, 11204, 2011, 1770, 13234, 609, 519, 2136, 2276, 538, 519, 13372, 563, 1432, 18086, 1705, 519, 31196, 7060, 4163, 856, 538, 4000, 888, 1103, 4000, 267, 519, 31196, 7060, 5645, 856, 606, 18086, 538, 3345, 4000, 267, 609, 519, 2832, 540, 14710, 519, 3703, 543, 3943, 538, 741, 10125, 538, 5527, 543, 27988, 807, 267, 6606, 267, 543, 1852, 519, 8574, 998, 519, 11335, 563, 3963, 1705, 7977, 6467, 5011, 538, 32685, 273, 888, 2005, 3315, 1185, 922, 1378, 11440, 27606, 2443, 14356, 1759, 593, 519, 4936, 7276, 543, 2147, 547, 519, 4436, 3609, 540, 682, 321, 839, 571, 636, 2443, 799, 804, 14414, 609, 1346, 540, 6628, 543, 5333, 269, 631, 1380, 565, 7236, 543, 13609, 1312, 22002, 606, 19710, 1063, 5125, 543, 7977, 267, 855, 5125, 779, 5775, 577, 331, 1380, 609, 15212, 729, 513, 23578, 1448, 563, 3963, 1705, 3567, 4323, 721, 888, 763, 5545, 5497, 519, 4323, 607, 513, 15324, 2962, 547, 1832, 519, 2136, 2276, 7414, 18307, 564, 689, 7679, 1359, 609, 922, 9709, 4108, 3527, 538, 14913, 5607, 1996, 18246, 11182, 540, 519, 2136, 8003, 267, 519, 13814, 267, 543, 519, 2136, 2276, 563, 7617, 2477, 1705, 711, 4339, 538, 32685, 273, 888, 2467, 941, 5216, 2477, 602, 10294, 29591, 282, 17577, 267, 16848, 267, 8050, 267, 13785, 267, 634, 28912, 267, 1656, 528, 571, 267, 8581, 543, 17389, 577, 1084, 7322, 563, 7617, 2197, 729, 1034, 1271, 32685, 273, 888, 4407, 1034, 1294, 519, 2136, 2276, 607, 2348, 5129, 519, 2629, 1909, 538, 8709, 638, 5109, 29747, 13609, 267, 519, 3703, 267, 2687, 547, 1135, 1782, 1239, 5950, 713, 3018, 267, 1294, 2933, 607, 2348, 5129, 519, 7887, 851, 538, 519, 2112, 4674, 2443, 4352, 789, 11760, 602, 519, 21647, 1131, 711, 723, 1044, 7753, 1510, 519, 8168, 5742, 6693, 7617, 2197, 814, 519, 1655, 7980, 538, 32685, 273, 888, 763, 4436, 7952, 568, 835, 540, 519, 20923, 20679, 2479, 2361, 539, 543, 729, 9120, 547, 1169, 7952, 621, 5185, 538, 24918, 269, 0, 21607, 13560, 634, 570, 4209, 4653, 2336, 2690, 1082, 1004, 267, 26025, 568, 513, 851, 540, 741, 4948, 1272, 269, 1358, 4440, 1810, 1405, 1256, 1589, 7466, 950, 789, 946, 621, 2899, 610, 7466, 630, 528, 811, 264, 513, 1554, 563, 3719, 972, 781, 513, 1966, 609, 713, 912, 6124, 2090, 616, 13031, 602, 936, 7308, 23716, 26025, 568, 9292, 1154, 707, 4522, 543, 2949, 15629, 1072, 563, 1103, 713, 5816, 649, 2911, 827, 519, 12178, 540, 26025, 267, 543, 606, 20231, 268, 2793, 307, 7838, 3201, 9338, 9898, 2793, 20937, 602, 786, 1118, 707, 4522, 19542, 17321, 543, 707, 1560, 8902, 2221, 2336, 20062, 2969, 4959, 8668, 9474, 27345, 9215, 5588, 27426, 3008, 15288, 888, 2414, 1054, 335, 4292, 814, 1044, 1472, 585, 5756, 267, 855, 621, 7012, 1405, 519, 1101, 5711, 1416, 1587, 593, 519, 2344, 563, 1103, 1249, 267, 5694, 8869, 729, 519, 1101, 1587, 5227, 585, 1004, 547, 946, 547, 2973, 741, 4522, 543, 14779, 269, 630, 272, 994, 2414, 1054, 8869, 568, 2500, 538, 7738, 19596, 267, 9117, 607, 606, 1884, 1047, 10364, 543, 538, 29000, 538, 519, 1761, 6604, 540, 5694, 9178, 267, 543, 814, 585, 1082, 1296, 269, 898, 729, 1256, 27749, 623, 8008, 8085, 2752, 982, 26025, 689, 476, 6245, 277, 547, 476, 3707, 280, 269, 630, 273, 994, 2005, 7012, 1405, 2394, 4213, 3459, 547, 1118, 1666, 6804, 6811, 602, 1256, 519, 1977, 15482, 5948, 15739, 323, 1243, 602, 26025, 3459, 547, 1831, 2442, 269, 630, 272, 994, 310, 27073, 5058, 281, 2290, 8546, 540, 26025, 1223, 918, 21135, 513, 1762, 1126, 269, 22732, 547, 606, 20231, 268, 2793, 307, 7838, 3201, 9338, 9898, 2793, 20937, 543, 2149, 707, 3214, 2221, 256, 630, 274, 994, 2414, 1054, 335, 4292, 568, 519, 1034, 1455, 1259, 585, 1004, 547, 11453, 741, 4522, 2221, 267, 855, 2687, 547, 519, 2622, 2657, 9257, 267, 5694, 9178, 543, 10733, 2068, 616, 856, 540, 1852, 782, 936, 519, 1158, 269, 630, 275, 994, 1607, 568, 1100, 9983, 1317, 623, 26097, 5058, 543, 1082, 824, 2067, 2409, 616, 18445, 547, 581, 811, 2500, 982, 519, 2025, 1259, 540, 17678, 707, 4522, 596, 4312, 2141, 2944, 269, 630, 276, 994, 15578, 667, 20315, 8991, 5508, 9215, 5588, 27426, 3008, 15288, 454, 2252, 596, 2731, 1589, 827, 621, 267, 26025, 568, 513, 20868, 1587 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14942, 3800, 971, 607, 3540, 27136, 17171, 267, 1875, 1723, 7774, 267, 543, 824, 3860, 7215, 540, 29926, 780, 30399, 267, 12790, 2516, 15877, 6101, 1379, 1419, 6964, 12809, 4187, 1813, 547, 922, 10333, 543, 12117, 269, 4706, 9029, 6013, 538, 7432, 519, 7515, 593, 1346, 8066, 12250, 1852, 910, 3079, 540, 759, 15659, 547, 741, 1377, 540, 5208, 267, 12809, 759, 8651, 20549, 547, 4497, 593, 1346, 2474, 267, 7551, 20392, 519, 1799, 7394, 13210, 540, 519, 4567, 28943, 269, 1635, 3257, 865, 267, 789, 1711, 5042, 4744, 28585, 1369, 2486, 267, 8903, 24319, 547, 2243, 17888, 8155, 543, 2015, 8925, 780, 27879, 633, 18650, 4438, 519, 6406, 7126, 16527, 692, 7628, 519, 30971, 1485, 540, 13343, 18844, 4031, 267, 3979, 4892, 5185, 11528, 10168, 3232, 269, 6736, 1373, 16155, 7254, 794, 539, 267, 891, 25641, 2853, 941, 25432, 2150, 523, 762, 269, 2920, 643, 1235, 6444, 519, 991, 585, 9097, 1689, 543, 5828, 547, 12809, 4187, 12485, 547, 4161, 24407, 6848, 3889, 780, 3080, 7986, 1383, 2501, 689, 28266, 20088, 262, 1219, 5050, 957, 540, 32222, 547, 2285, 909, 1200, 10160, 593, 513, 27293, 1668, 538, 476, 4198, 276, 269, 4173, 2241, 23972, 17275, 513, 2749, 4204, 7911, 22574, 3366, 676, 9410, 13162, 3751, 12789, 1421, 799, 524, 23774, 1194, 1857, 6283, 8907, 543, 10776, 7458, 27789, 15024, 269, 6684, 267, 12899, 4831, 1694, 15564, 588, 3042, 2066, 519, 3162, 12006, 519, 21494, 640, 540, 7292, 9668, 267, 16550, 1870, 5411, 547, 556, 29264, 1279, 13463, 671, 28639, 780, 4322, 8320, 540, 12809, 4187, 7604, 1078, 519, 7415, 4557, 13369, 543, 5876, 540, 3540, 2924, 15628, 269, 1358, 9927, 4948, 5624, 883, 6370, 3033, 338, 585, 5126, 267, 1210, 1560, 1893, 267, 16563, 267, 543, 1869, 1145, 607, 14984, 9604, 1996, 632, 16058, 1436, 269, 5047, 267, 789, 6273, 9118, 1866, 547, 6443, 519, 4339, 267, 5807, 17604, 1851, 3309, 2950, 8087, 538, 13287, 540, 7862, 780, 28757, 25684, 1299, 10241, 692, 9213, 267, 30172, 540, 519, 3540, 2924, 3350, 13469, 9244, 538, 1585, 1514, 5126, 9620, 5001, 269, 3245, 4563, 22032, 17460, 547, 2825, 5322, 267, 15156, 3136, 14139, 12809, 4187, 2994, 547, 1198, 6209, 1689, 269, 1280, 3236, 267, 30557, 9412, 3087, 2209, 8246, 12560, 17600, 267, 3625, 3547, 267, 543, 2923, 11044, 547, 2721, 3007, 547, 6805, 2244, 2924, 543, 8733, 11091, 780, 11101, 267, 2413, 2029, 6087, 1007, 3029, 540, 12809, 4187, 269, 4317, 2923, 5867, 1683, 28503, 585, 4687, 2984, 267, 20834, 1944, 1489, 267, 543, 12180, 7104, 2962, 269, 25300, 32002, 17933, 2636, 2043, 547, 7119, 12303, 267, 7586, 4328, 9739, 543, 5807, 2518, 4656, 1472, 2565, 2152, 899, 7128, 30468, 267, 4008, 8635, 267, 543, 11806, 266, 2924, 780, 4913, 267, 13915, 8044, 602, 3059, 7589, 1522, 32561, 519, 1764, 540, 2757, 12809, 4187, 2409, 269, 28024, 696, 923, 25077, 602, 2228, 6278, 1419, 14543, 547, 14377, 883, 15889, 4093, 267, 3056, 930, 547, 14962, 5691, 17933, 607, 1793, 871, 339, 13659, 269, 16480, 267, 972, 3788, 1713, 1761, 585, 1623, 25027, 3347, 1063, 2228, 543, 22356, 12331, 540, 12809, 4187, 267, 3226, 952, 10244, 539, 3927, 2509, 3838, 3853, 780, 6962, 692, 18698, 519, 1523, 540, 12809, 4187, 1369, 519, 2796, 540, 519, 1977, 6406, 7126, 11873, 3091, 3407, 4030, 883, 1312, 3140, 2621, 543, 1459, 6377, 3156, 269, 3414, 6297, 2079, 540, 2250, 18454, 543, 2591, 267, 4207, 15628, 666, 29742, 4245, 10858, 547, 741, 1378, 3123, 269, 11569, 267, 519, 11972, 9371, 540, 12809, 4187, 5713, 607, 513, 15266, 547, 519, 13710, 1379, 540, 32593, 775, 267, 11121, 2104, 5481, 547, 1796, 6109, 1996, 21440, 16382, 621, 14340, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 27879, 633, 4187, 4122, 4016, 547, 3527, 540, 32593, 550, 13889, 610, 4187, 547, 6392, 269, 634, 3844, 4183, 568, 519, 6857, 3903, 676, 519, 11051, 547, 17712, 664, 689, 513, 10795, 3210, 1256, 538, 519, 3068, 540, 10795, 14699, 269, 634, 2165, 3357, 883, 1455, 946, 1282, 519, 7115, 6560, 538, 3127, 1063, 519, 476, 4572, 271, 338, 543, 476, 3707, 279, 269, 898, 814, 1044, 1031, 4922, 676, 2516, 945, 3668, 6101, 6392, 610, 2990, 543, 814, 3006, 1044, 1572, 519, 968, 933, 777, 517, 540, 519, 4617, 3034, 763, 2165, 568, 22801, 267, 2705, 267, 538, 602, 621, 10522, 1780, 2032, 269, 769, 1249, 267, 12809, 4187, 666, 581, 2219, 540, 607, 606, 3742, 267, 855, 32593, 550, 267, 7154, 540, 6560, 538, 513, 1514, 4655, 269, 634, 3527, 602, 2887, 896, 519, 2165, 12809, 4187, 1331, 1082, 3029, 540, 3540, 27136, 17171, 543, 1875, 1723, 7774, 27137, 607, 1694, 15564, 267, 7911, 20799, 1206, 267, 3625, 3547, 543, 23909, 540, 5656, 267, 3454, 30671, 267, 543, 4244, 12326, 543, 2923, 269, 2859, 3742, 3029, 540, 12809, 4187, 1331, 16716, 267, 3802, 8083, 267, 13889, 22415, 1127, 267, 26974, 3740, 17600, 267, 543, 14000, 16716, 563, 27879, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 8466, 1315, 2136, 2276, 1315, 476, 736, 628, 11416, 1315, 6406, 7126, 11873, 630, 4198, 271, 338, 268, 3422, 271, 338, 1040, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 4985, 547, 20636, 5678, 543, 9177, 692, 8702, 547, 713, 3078, 3460, 883, 519, 1158, 540, 519, 20636, 1893, 543, 2528, 256, 769, 713, 3184, 267, 649, 786, 2263, 519, 3140, 2796, 540, 519, 20636, 1893, 267, 922, 2078, 609, 824, 27272, 4654, 267, 543, 922, 4644, 1369, 22778, 807, 543, 3564, 269, 1284, 786, 849, 6338, 1883, 2686, 2609, 971, 607, 1728, 326, 613, 267, 808, 14397, 4521, 267, 543, 20636, 1374, 602, 3337, 4207, 16862, 269, 901, 5748, 786, 5965, 596, 585, 707, 21599, 883, 20636, 10409, 3889, 543, 7520, 4514, 3444, 14426, 8223, 780, 6637, 476, 273, 281, 1912, 517, 7497, 543, 1912, 517, 1108, 910, 4197, 20636, 16319, 692, 1103, 713, 3184, 267, 5490, 883, 519, 2189, 13093, 2045, 543, 13093, 1670, 2934, 540, 519, 20636, 1893, 269, 31385, 519, 15116, 885, 540, 20262, 3259, 267, 3159, 267, 543, 546, 13023, 628, 29330, 282, 4487, 11634, 11445, 5786, 267, 535, 878, 894, 21350, 6005, 21939, 267, 543, 521, 12534, 629, 327, 752, 16210, 1107, 9259, 15534, 538, 2296, 2943, 1898, 547, 8076, 12332, 269, 25800, 3054, 609, 519, 4139, 1912, 517, 2045, 22843, 630, 296, 5183, 264, 6698, 1031, 2429, 713, 1433, 543, 2259, 1098, 21564, 20636, 1913, 1210, 891, 3197, 269, 1635, 2502, 609, 8301, 19827, 543, 5751, 267, 3986, 707, 6947, 1983, 543, 2482, 519, 24536, 585, 4977, 12332, 780, 6637, 476, 274, 281, 5651, 874, 334, 1606, 9321, 12519, 23113, 910, 29923, 6478, 19725, 543, 15716, 18963, 692, 1607, 3184, 6212, 593, 20636, 24466, 543, 4852, 716, 673, 14960, 269, 25826, 10902, 4008, 7084, 3652, 267, 18781, 6876, 3270, 267, 2178, 5288, 4617, 8231, 17788, 725, 267, 543, 2123, 15749, 946, 269, 3414, 2502, 2238, 899, 4845, 30337, 618, 4247, 267, 5470, 15494, 5751, 267, 543, 8144, 10467, 1063, 2296, 543, 20636, 267, 4835, 1125, 1950, 10641, 657, 9321, 12519, 21437, 1247, 17975, 707, 2542, 543, 1603, 5759, 780, 6637, 476, 275, 281, 26285, 3901, 923, 543, 5494, 6847, 4460, 619, 910, 19484, 9442, 26505, 692, 303, 4048, 15122, 16169, 4249, 513, 2629, 1909, 538, 3811, 2792, 2066, 4529, 269, 10812, 20636, 17187, 8155, 267, 2184, 8864, 2994, 267, 2490, 23824, 2553, 267, 1394, 577, 14128, 10291, 267, 543, 11407, 12508, 269, 21302, 8076, 19929, 6537, 689, 2442, 2923, 2959, 267, 4081, 5468, 267, 543, 1514, 4205, 269, 10576, 18596, 31544, 2934, 5935, 5714, 20636, 7391, 543, 24917, 707, 1378, 32705, 23258, 998, 6098, 6340, 2238, 543, 14436, 5717, 780, 6637, 476, 276, 281, 17502, 1470, 3620, 626, 5566, 12745, 910, 1215, 5678, 5345, 11510, 3683, 5384, 692, 291, 10679, 883, 519, 4241, 8739, 3620, 626, 5566, 4720, 540, 519, 20636, 1893, 269, 5530, 6196, 25245, 7506, 267, 3346, 14001, 2242, 1813, 547, 8899, 4436, 267, 5824, 267, 3943, 267, 543, 2296, 267, 13172, 531, 7648, 267, 543, 2413, 32301, 3646, 269, 18918, 609, 3119, 5931, 20515, 1114, 5933, 540, 20636, 2854, 1686, 267, 5431, 6237, 31126, 543, 682, 13877, 976, 267, 543, 5660, 875, 2797, 2621, 8032, 519, 1893, 5251, 540, 16862, 780, 6637, 476, 277, 281, 7351, 12367, 910, 5564, 13308, 1143, 267, 32501, 267, 543, 7913, 8177, 692, 2026, 649, 1935, 4207, 16862, 267, 4983, 10296, 2152, 7133, 519, 20636, 1893, 2221, 269, 6333, 1617, 13308, 1143, 1851, 11082, 267, 2034, 1893, 11601, 2591, 5185, 676, 1875, 28921, 10529, 267, 3059, 3310, 593, 20636, 9647, 2762, 267, 683, 860, 3359, 16109, 689, 6639, 10124, 267, 543, 6286, 540, 14051, 593, 12102, 4654, 269, 12160, 622, 538, 9840, 4478, 1893, 3609, 3664, 543, 6218, 1761, 4539, 585, 2104, 5481, 540, 20636, 6267, 780, 9961, 713, 1837, 267, 11441, 547, 1118, 4296, 1063, 7811, 1702, 543, 4052, 3498, 269, 22737, 3742, 1565, 4485, 543, 10319, 3785, 5009, 2565, 3206, 543, 17685, 8590, 4656, 269, 11086, 267, 11349, 513, 11455, 5133, 2509, 4914, 1893, 1353, 12082, 538, 6568, 267, 7279, 267, 543, 7214, 22759, 1765, 12921, 1571, 3810, 12595, 1312, 3330, 543, 3544, 24243, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 276, 14579, 3427, 16390, 10158, 14568, 20537, 634, 1977, 19405, 454, 2252, 596, 4312, 2479, 1224, 4376, 593, 519, 4950, 267, 596, 917, 602, 519, 1977, 2069, 1062, 3884, 1405, 3257, 865, 3905, 269, 2986, 1576, 267, 14605, 25250, 678, 1218, 1996, 18923, 6956, 3344, 540, 6214, 543, 2528, 5749, 1405, 519, 6852, 8810, 766, 540, 519, 2136, 2276, 267, 855, 2518, 3084, 2069, 7194, 798, 2285, 930, 2597, 547, 519, 834, 1805, 1575, 573, 1977, 257, 8305, 9189, 269, 1703, 616, 267, 2705, 267, 1896, 4712, 13402, 3435, 547, 938, 1082, 267, 1082, 2042, 269, 2353, 649, 723, 547, 798, 568, 15179, 938, 11348, 543, 1577, 824, 2477, 4001, 721, 875, 547, 1831, 811, 1732, 693, 18375, 269, 1280, 1383, 4429, 13900, 4771, 12140, 2060, 14068, 4530, 590, 13990, 5502, 2986, 28981, 4256, 8750, 532, 1772, 14568, 1280, 634, 4841, 454, 24092, 1242, 4152, 814, 1279, 1044, 519, 1977, 9949, 585, 12238, 3101, 875, 5100, 1053, 616, 267, 10375, 569, 14495, 1524, 519, 3003, 2790, 1646, 540, 513, 1126, 1524, 547, 513, 19619, 540, 6905, 15328, 15879, 17118, 269, 9208, 1436, 1797, 7862, 267, 2495, 602, 1169, 2875, 267, 7488, 540, 1018, 741, 28364, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11123, 292, 22218, 700, 20315, 308, 17803, 29898, 1315, 20636, 1315, 667, 13089, 1975, 5766, 11584, 19241, 584, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 12861, 27484, 15369, 1290, 545, 16262, 3098, 692, 5970, 596, 2479, 1224, 513, 13371, 1433, 610, 8642, 3209, 602, 5059, 593, 513, 1808, 6249, 286, 9320, 621, 729, 827, 27568, 8165, 1996, 9409, 5636, 1622, 267, 610, 5310, 621, 8268, 519, 3232, 2729, 540, 8723, 1004, 269, 3143, 2339, 1018, 519, 6249, 267, 891, 10070, 540, 14676, 616, 1572, 16320, 3098, 269, 1323, 16320, 1108, 568, 899, 513, 4015, 540, 2110, 2984, 610, 9954, 676, 1114, 4589, 267, 855, 3079, 267, 789, 2811, 14676, 2439, 1103, 713, 3184, 267, 649, 786, 2263, 875, 547, 1711, 707, 1360, 1378, 873, 539, 13371, 16320, 1108, 256, 1284, 786, 1451, 827, 1114, 4798, 543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2048, 763, 1289, 3357, 538, 4166, 607, 646, 4862, 519, 5639, 540, 1010, 21534, 812, 19028, 268, 2048, 2005, 7074, 602, 267, 607, 3631, 585, 741, 960, 267, 519, 1656, 619, 976, 1031, 741, 3434, 21877, 543, 21534, 2367, 689, 519, 3690, 1304, 13163, 267, 513, 1715, 20958, 28057, 10837, 19028, 268, 2048, 10521, 2395, 2663, 267, 21534, 2367, 3357, 547, 960, 23242, 513, 4154, 21015, 31296, 19028, 268, 2048, 9515, 6743, 909, 14281, 543, 7691, 602, 713, 812, 729, 711, 513, 13743, 528, 540, 513, 21534, 812, 19028, 268, 2048, 12441, 513, 1780, 518, 2421, 4960, 547, 1294, 519, 8594, 267, 610, 513, 21534, 812, 286, 20371, 268, 2048, 3891, 6645, 8751, 267, 2048, 296, 1294, 1631, 594, 729, 2324, 585, 596, 899, 513, 21534, 812, 267, 543, 1247, 596, 941, 2476, 594, 4421, 707, 3959, 9957, 20371, 268, 2048, 763, 21534, 812, 22551, 539, 585, 11427, 269, 10162, 2292, 267, 855, 972, 729, 1100, 16253, 19028, 268, 2048, 26807, 569, 267, 899, 835, 540, 29778, 781, 21534, 2367, 267, 649, 723, 547, 1118, 1450, 1734, 585, 1142, 824, 781, 22293, 19028, 268, 2048, 3891, 5143, 1010, 4651, 602, 15535, 543, 808, 1563, 941, 9363, 609, 519, 1079, 21534, 2367, 693, 1010, 1753, 19028, 12749, 4388, 585, 22008, 1603, 5649, 811, 454, 1103, 713, 2376, 649, 2263, 875, 547, 23666, 12820, 609, 513, 5544, 6823, 22008, 269, 0, 9827, 1336, 538, 281, 9218, 267, 634, 28445, 267, 13751, 267, 15610, 563, 292, 22029, 281, 700, 267, 21729, 267, 6077, 267, 1847, 516, 267, 547, 1847, 267, 2992, 699, 267, 547, 18846, 1394, 454, 1415, 16846, 3210, 540, 519, 30057, 1062, 3361, 676, 14242, 540, 21729, 617, 559, 1807, 610, 21729, 27019, 560, 2774, 633, 13285, 563, 763, 1526, 9689, 610, 8920, 520, 566, 540, 513, 1973, 6077, 538, 3210, 547, 513, 17003, 267, 607, 538, 4742, 12779, 689, 19225, 269, 14271, 7716, 281, 15466, 16846, 454, 8450, 849, 281, 16846 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10421, 568, 513, 4871, 7939, 267, 799, 5036, 513, 5943, 593, 875, 8492, 543, 7263, 7480, 5238, 1590, 6023, 741, 3854, 269, 634, 11008, 1436, 540, 7221, 543, 3854, 568, 3810, 13387, 865, 602, 621, 666, 581, 1981, 22051, 269, 2507, 2560, 9504, 454, 5115, 1388, 2443, 519, 2698, 11262, 543, 22666, 7482, 538, 513, 1870, 269, 3794, 27443, 540, 6355, 16301, 630, 272, 264, 15394, 4016, 547, 519, 2698, 540, 519, 9698, 6589, 538, 513, 6109, 269, 1280, 513, 4871, 267, 519, 9698, 6589, 616, 1455, 543, 9053, 6006, 267, 21045, 267, 543, 3768, 22866, 12434, 269, 1280, 2507, 2560, 11038, 543, 1870, 2474, 454, 22479, 1388, 2443, 14559, 16539, 538, 513, 6109, 269, 634, 1715, 3840, 8648, 11038, 3794, 27443, 2608, 2608, 2608, 3854, 1698, 587, 356, 328, 587, 356, 2145, 1496, 16659, 330, 19508, 696, 331, 316, 10902, 1496, 684, 12248, 762, 316, 476, 272, 269, 18598, 2724, 610, 3959, 1031, 547, 3132, 5763, 281, 3040, 18831, 1472, 519, 1158, 616, 17237, 585, 3854, 543, 2804, 2507, 2560, 11038, 543, 1870, 2474 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 667, 5744, 8836, 15689, 2008, 25238, 3428, 923, 1475, 293, 4288, 540, 3979, 543, 2518, 7544, 5389, 2008, 347, 14300, 1475, 17682, 549, 4211, 541, 11194, 7506, 267, 3864, 4207, 2553, 2008, 347, 10387, 10899, 15863, 1475, 306, 1706, 802, 7279, 543, 7071, 585, 2686, 4763, 2008, 1103, 3695, 519, 4720, 540, 2757, 3979, 7544, 883, 922, 4207, 1106, 267, 649, 5431, 875, 713, 1148, 1106, 5170, 547, 8853, 676, 8508, 5647, 1247, 9363, 12082, 538, 2245, 269, 634, 1985, 3296, 786, 5490, 2417, 883, 519, 3309, 13795, 540, 3979, 7544, 6163, 267, 21048, 4979, 741, 2189, 5322, 543, 7096, 2686, 10096, 269, 2913, 721, 7832, 593, 513, 3460, 998, 891, 9159, 7215, 540, 4000, 779, 3638, 6561, 563, 28893, 19933, 26505, 281, 589, 667, 5744, 24135, 12960, 540, 11873, 543, 12791, 454, 19465, 593, 519, 3638, 9371, 540, 2757, 3979, 7544, 267, 4207, 3979, 7544, 814, 7153, 607, 513, 7524, 543, 6422, 1106, 540, 7499, 4082, 269, 901, 3296, 7710, 519, 4720, 540, 22192, 25287, 2762, 1369, 713, 9135, 267, 10223, 922, 2686, 4644, 543, 3310, 593, 25249, 5001, 563, 3080, 9159, 1383, 602, 28837, 519, 4720, 540, 4207, 3979, 7544, 568, 519, 960, 540, 12021, 25287, 19212, 13019, 1090, 16679, 269, 769, 1010, 14262, 4062, 968, 311, 523, 657, 2223, 16679, 16900, 24025, 2609, 689, 1585, 3979, 19933, 26505, 609, 2413, 2553, 267, 2870, 513, 30811, 2773, 602, 2591, 6671, 18765, 540, 3350, 543, 3961, 269, 1635, 535, 6748, 6946, 3723, 1740, 6273, 676, 4639, 3979, 23929, 609, 5714, 1560, 5322, 24188, 540, 3162, 3979, 575, 3518, 2393, 15472, 267, 16679, 711, 1152, 17188, 4630, 720, 547, 4000, 779, 3309, 7544, 5389, 855, 849, 1102, 4926, 873, 609, 4195, 5380, 543, 6386, 563, 2414, 5490, 4514, 883, 1620, 519, 6384, 543, 2686, 4644, 540, 4207, 3979, 7544, 267, 649, 666, 4983, 2185, 1883, 3344, 912, 20812, 1962, 7190, 281, 12634, 3979, 7544, 5088, 806, 606, 27763, 2039, 540, 7506, 267, 16471, 2757, 5322, 609, 5375, 2553, 971, 607, 29478, 610, 2413, 7544, 269, 901, 12760, 5932, 1007, 4938, 629, 983, 625, 602, 2992, 519, 18371, 19178, 4810, 676, 1082, 20338, 2221, 563, 1805, 800, 8346, 281, 6145, 922, 2757, 13413, 267, 12634, 3979, 19933, 1419, 5713, 607, 513, 1797, 540, 9423, 267, 23187, 6386, 12082, 538, 2123, 1995, 267, 1514, 2152, 267, 610, 3140, 2621, 269, 3414, 3532, 17267, 543, 12572, 5322, 267, 25249, 5968, 4664, 543, 2093, 602, 13469, 7184, 609, 9458, 563, 16498, 640, 281, 10886, 1242, 676, 1164, 1648, 2157, 543, 24754, 6988, 267, 4207, 3979, 7544, 7569, 10373, 2168, 4222, 543, 26176, 2088, 689, 22407, 269, 898, 22842, 519, 1480, 1560, 779, 17545, 1247, 15386, 519, 25872, 1063, 2575, 543, 3350, 563, 1103, 2617, 566, 281, 1306, 5159, 3136, 547, 7903, 6302, 1369, 713, 1148, 1106, 267, 5647, 3788, 606, 7533, 2460, 540, 4207, 3979, 7544, 269, 667, 19188, 4603, 609, 23349, 588, 1645, 2553, 267, 6451, 19180, 2609, 899, 20327, 610, 2661, 2575, 12644, 547, 1711, 15138, 2833, 585, 741, 5304, 563, 3528, 3695, 891, 18125, 540, 4207, 3979, 7544, 267, 649, 2744, 513, 4514, 7071, 585, 922, 13710, 1379, 543, 2702, 547, 8115, 2686, 17337, 269, 769, 519, 7766, 3296, 267, 649, 786, 5490, 883, 1776, 25246, 540, 3979, 7544, 281, 9161, 2065, 2853, 602, 1921, 25249, 609, 18577, 14326, 998, 10723, 5322, 563, 305, 3770, 2065, 3979, 19933, 281, 4045, 532, 609, 1323, 6827, 1537, 9454, 1080, 998, 29042, 28073, 454, 305, 3770, 2065, 3979, 19933, 281, 4045, 532, 609, 1323, 6827, 1537, 9454, 1080, 998, 29042, 28073, 454, 28893, 7544, 6163, 616, 513, 3309, 13795, 540, 3350, 543, 2495, 267, 1142, 609, 922, 1378, 2189, 4162, 543, 2686, 4644, 269, 8490, 2390, 713, 3638, 6561, 267, 9161, 2065, 3979, 23929, 3180, 513, 2027, 1747, 538, 519, 12271, 540, 1082, 2950, 607, 789, 2709, 513, 3532, 4276, 547, 18577, 14326, 998, 10723, 5322, 563, 3080, 1383, 602, 14550, 519, 6384, 543, 2686, 4644, 540, 9161, 2065, 3979, 7544, 568, 519, 1520, 636, 340, 7544, 5340, 676, 519, 8575, 553, 2967, 1004, 540, 5101, 4000, 269, 901, 30060, 7544, 3322, 513, 1895, 540, 21847, 682, 12686, 1164, 883, 519, 2011, 1247, 4509, 606, 20005, 14302, 269, 634, 8515, 543, 11733, 540, 741, 5322, 21843, 22838, 267, 4222, 267, 543, 9322, 1369, 519, 2146, 269, 1635, 851, 1136, 538, 713, 5553, 6040, 2245, 267, 5171, 711, 1152, 8956, 741, 11937, 855, 849, 585, 613, 7554, 1369, 741, 1459, 6377, 2146, 563, 763, 2686, 2956, 540, 9161, 2065, 3979, 7544, 11498, 3564, 1367, 12644, 282, 621, 13315, 6626, 2609, 602, 3337, 1514, 22122, 543, 3961, 1369, 2950, 269, 3371, 616, 930, 1883, 3344, 912, 268, 20154, 17583, 281, 681, 3770, 2065, 3979, 23929, 1419, 4196, 607, 513, 1797, 547, 1921, 609, 18577, 14326, 610, 24587, 269, 3414, 24754, 14941, 2719, 267, 669, 13589, 267, 543, 6946, 25287, 2762, 267, 25249, 4283, 959, 766, 6438, 2829, 1141, 789, 666, 5968, 609, 891, 5289, 9988, 563, 268, 23046, 13756, 281, 3509, 3979, 4529, 3494, 602, 1978, 23929, 4865, 7067, 7060, 269, 1452, 12738, 949, 581, 1031, 547, 2232, 2168, 22074, 610, 11177, 3929, 1134, 5630, 1369, 2043, 610, 1256, 3003, 2950, 563, 268, 7991, 9919, 30503, 1674, 281, 681, 3770, 2065, 23929, 3142, 1004, 1927, 538, 7772, 748, 16873, 971, 607, 7556, 15976, 267, 12311, 26204, 267, 610, 4947, 6361, 21943, 18428, 269, 1358, 1683, 3255, 585, 18497, 16345, 543, 3838, 2833, 602, 7794, 1514, 13218, 563, 268, 8836, 27264, 281, 1452, 2757, 23929, 957, 607, 2713, 12589, 9323, 540, 2686, 6561, 267, 4180, 602, 9821, 543, 2418, 616, 5293, 1524, 689, 835, 5108, 547, 1776, 563, 2414, 2417, 9414, 713, 1448, 827, 2686, 11091, 267, 2015, 519, 1739, 3349, 15386, 1114, 9161, 2065, 3979, 23929, 7258, 741, 9757, 2477, 540, 5169, 912, 2026, 649, 5490, 883, 519, 1158, 540, 3979, 7544, 267, 621, 3587, 10423, 602, 1142, 3350, 11438, 513, 7096, 4644, 12082, 538, 1686, 543, 2245, 563, 28893, 19933, 8779, 6979, 281, 966, 2320, 656, 5900, 790, 31514, 519, 10439, 15190, 12386, 454, 9558, 819, 532, 689, 519, 3105, 3296, 267, 1141, 649, 8268, 519, 9161, 2065, 3344, 540, 3979, 7544, 267, 649, 1631, 5490, 883, 519, 6626, 2686, 4644, 602, 7544, 543, 2575, 3180, 538, 3979, 2950, 269, 1677, 8774, 1769, 593, 713, 1888, 267, 1577, 721, 2015, 513, 19858, 9183, 5473, 513, 1762, 15854, 1356, 3957, 2549, 4673, 945, 29084, 538, 513, 1507, 8498, 538, 4639, 4000, 563, 288, 3405, 320, 779, 2648, 585, 7544, 568, 711, 8806, 606, 4082, 540, 2123, 18399, 282, 621, 5713, 607, 513, 24891, 547, 1921, 609, 1200, 2146, 779, 3638, 6561, 543, 5389, 269, 901, 4276, 666, 581, 14754, 2066, 1585, 7516, 912, 15430, 3569, 540, 8836, 14740, 912, 268, 3979, 7544, 3029, 4196, 607, 8043, 585, 8429, 1524, 2984, 267, 14868, 267, 543, 12583, 689, 835, 5108, 547, 1776, 563, 268, 3414, 5322, 25287, 8319, 1117, 547, 1808, 18819, 543, 23964, 267, 25249, 18220, 741, 11937, 685, 2833, 267, 4180, 602, 4105, 2686, 1702, 3788, 9800, 563, 268, 18877, 2097, 1927, 1282, 30018, 14026, 610, 1271, 1272, 2621, 971, 607, 12311, 26204, 610, 1187, 5644, 563, 268, 667, 3496, 15217, 18791, 1514, 7554, 1851, 2043, 267, 5807, 513, 2631, 540, 9322, 543, 3838, 3961, 1369, 519, 1895, 563, 268, 12465, 3979, 4978, 1419, 6451, 2609, 540, 17035, 883, 3232, 1272, 563, 268, 1635, 851, 1136, 538, 10723, 23929, 10483, 676, 24754, 20054, 543, 669, 1218, 267, 9439, 1921, 609, 18577, 14326, 543, 3343, 10143, 5583, 563, 23895, 30503, 1674, 540, 5020, 912, 347, 7659, 16474, 757, 1475, 10387, 19600, 5345, 12097, 2008, 18871, 4040, 6361, 21943, 1475, 2750, 322, 924, 618, 1299, 16882, 2008, 347, 19604, 4034, 1475, 294, 7806, 3363, 1299, 11606, 2008, 347, 2304, 6827, 1537, 12738, 1475, 3725, 557, 5270, 1299, 5289, 31135, 2008, 28893, 7544, 25186, 6071, 2168, 3350, 282, 621, 4564, 513, 7524, 13795, 954, 342, 8576, 609, 1686, 267, 17035, 267, 543, 18497, 11812, 269, 1306, 649, 3136, 938, 3408, 883, 519, 7706, 540, 3979, 2686, 7215, 267, 649, 1631, 2490, 938, 3007, 547, 3979, 19933, 14080, 11040, 281, 18270, 908, 8836, 11595, 998, 681, 15219, 6193, 20283, 902, 563, 28893, 19933, 14080, 11040, 281, 18270, 908, 8836, 11595, 998, 681, 15219, 6193, 20283, 902, 454, 2026, 649, 5490, 4514, 883, 519, 1158, 540, 3979, 7544, 267, 621, 568, 1271, 547, 1174, 602, 922, 7524, 24853, 543, 3308, 4715, 12386, 616, 711, 8806, 585, 12716, 5301, 269, 1358, 1404, 513, 1713, 1909, 538, 15386, 519, 3638, 2686, 6561, 543, 5389, 2404, 609, 713, 1148, 1106, 269, 3767, 267, 1577, 721, 2263, 1776, 2460, 540, 3979, 7544, 281, 519, 11812, 540, 2686, 3961, 998, 24754, 19771, 693, 1585, 15976, 563, 28893, 7544, 15976, 4196, 607, 3532, 5867, 585, 2950, 547, 2097, 1927, 543, 8661, 741, 3838, 2686, 6561, 269, 2290, 971, 13037, 568, 519, 667, 7875, 541, 16635, 4371, 12422, 538, 13280, 269, 901, 2680, 6770, 1004, 689, 1114, 11031, 543, 4525, 2066, 13280, 267, 10223, 741, 3309, 7544, 6163, 543, 12738, 269, 634, 667, 7875, 541, 16635, 20502, 2757, 30645, 30933, 24224, 609, 6946, 29950, 1740, 267, 17207, 267, 543, 10477, 17234, 1107, 513, 3020, 4159, 540, 7499, 5578, 543, 11348, 563, 2414, 5963, 9787, 519, 4644, 540, 891, 15976, 267, 2015, 519, 1739, 3929, 6114, 859, 12097, 676, 873, 912, 268, 589, 2631, 540, 10362, 281, 19893, 1995, 513, 2620, 4276, 609, 741, 22693, 607, 789, 7198, 5481, 1354, 873, 2502, 538, 23929, 5293, 1524, 936, 5553, 563, 268, 8836, 11091, 281, 1452, 15976, 4196, 607, 2713, 21517, 267, 8497, 2757, 5322, 267, 18819, 267, 543, 9821, 602, 1522, 6382, 28201, 2476, 538, 606, 5051, 2413, 1242, 1158, 563, 268, 30767, 9624, 4763, 281, 634, 4947, 1927, 540, 2043, 689, 1585, 6803, 2516, 11942, 1620, 267, 2463, 267, 543, 7071, 585, 1142, 824, 779, 2189, 7418, 547, 3979, 2528, 563, 268, 29233, 538, 3961, 281, 3414, 3303, 1243, 12644, 10483, 676, 2661, 2575, 5129, 593, 2757, 7405, 899, 27120, 543, 1535, 2643, 2684, 2158, 267, 5171, 1491, 11348, 538, 741, 3982, 2686, 9163, 563, 26180, 652, 2526, 8745, 1475, 19613, 1475, 7659, 17972, 2008, 25238, 7875, 541, 16635, 1475, 301, 12342, 1475, 25565, 30645, 30933, 24224, 609, 6946, 29950, 1740, 282, 667, 5744, 7544, 6163, 8204, 1114, 11031, 2008, 347, 302, 340, 573, 1695, 966, 797, 5622, 16635, 1475, 13051, 514, 1475, 305, 3770, 23929, 26621, 18577, 14326, 282, 7822, 995, 24853, 29544, 5289, 4978, 2008, 18871, 1901, 16011, 4139, 918, 924, 16635, 1475, 21026, 4000, 1475, 288, 518, 658, 7544, 12644, 609, 737, 2572, 282, 9919, 30503, 1674, 540, 5191, 543, 2686, 4763, 2008, 26180, 652, 2526, 5080, 682, 20997, 1475, 300, 8932, 1475, 25565, 23929, 10483, 676, 2661, 2575, 282, 8058, 13826, 540, 3309, 5689, 1014, 4529, 2008, 1103, 9759, 267, 3979, 7544, 15976, 1683, 513, 3760, 585, 2950, 547, 8661, 741, 2686, 6561, 998, 24754, 19771, 269, 15332, 519, 3308, 4715, 12386, 267, 891, 2621, 18427, 4664, 540, 10362, 267, 11348, 267, 9322, 267, 543, 2686, 11091, 269, 3767, 267, 1577, 721, 2263, 875, 3979, 7544, 8309, 547, 2679, 2146, 543, 1514, 22122, 998, 3838, 5322, 563, 13010, 267, 1620, 519, 1909, 602, 3979, 7544, 4249, 538, 5807, 1514, 7554, 568, 2629, 950, 6313, 922, 1764, 593, 2146, 6384, 563, 28893, 19933, 543, 4317, 3213, 1127, 542, 281, 8490, 7991, 998, 32655, 28073, 454, 9558, 819, 532, 689, 519, 3105, 3296, 593, 3979, 7544, 15976, 267, 649, 1631, 2263, 519, 1909, 540, 3979, 7544, 538, 5807, 1514, 22122, 543, 2679, 513, 2631, 540, 2146, 269, 1677, 9414, 713, 6422, 267, 1577, 721, 2015, 513, 19858, 2013, 1353, 5473, 513, 1507, 8498, 538, 4639, 4000, 563, 1103, 713, 8498, 267, 2818, 540, 519, 2146, 5531, 5781, 547, 7119, 538, 2757, 23929, 602, 723, 1044, 5293, 1524, 998, 5481, 269, 1452, 23929, 4196, 607, 811, 982, 6071, 3029, 540, 9913, 282, 789, 616, 7184, 12082, 538, 2686, 5389, 543, 3180, 1713, 2495, 585, 1346, 3238, 269, 1635, 2502, 538, 891, 3838, 5322, 1927, 267, 2043, 1995, 513, 2631, 540, 10362, 543, 9322, 602, 8309, 547, 1514, 22122, 1369, 519, 2146, 563, 763, 4644, 540, 3979, 7544, 538, 5009, 1514, 22122, 666, 581, 2417, 6956, 998, 1896, 1883, 3344, 912, 268, 681, 3770, 2065, 15689, 281, 3509, 3979, 23929, 2270, 9161, 2065, 2609, 602, 1921, 2043, 609, 741, 18577, 6561, 543, 5289, 4978, 269, 3414, 24754 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 676, 741, 11708, 269, 769, 713, 3296, 267, 782, 3252, 616, 1114, 4192, 538, 930, 8884, 780, 293, 17313, 2972, 1448, 3772, 4238, 267, 602, 568, 267, 952, 535, 543, 575, 616, 3252, 267, 741, 2040, 267, 3017, 543, 1587, 616, 3252, 3989, 676, 692, 763, 11890, 540, 519, 4611, 3252, 616, 519, 10167, 540, 519, 11890, 540, 535, 543, 575, 269, 634, 23479, 540, 1079, 3252, 568, 3989, 13974, 676, 692, 8117, 519, 6389, 540, 519, 4611, 1599, 568, 5833, 676, 9427, 519, 21325, 540, 575, 689, 519, 10167, 540, 519, 11890, 540, 535, 543, 575, 780, 763, 9971, 3252, 616, 3989, 676, 21335, 267, 543, 741, 6389, 568, 519, 2898, 1305, 540, 1483, 2338, 269, 1358, 1331, 3586, 3252, 267, 5276, 3252, 543, 13392, 3252, 269, 21929, 3252, 616, 9889, 1801, 540, 1079, 9971, 3252, 267, 543, 741, 6389, 568, 519, 1483, 2338, 609, 513, 13113, 1297, 540, 873, 6569, 547, 2057, 6498, 676, 4642, 269, 634, 14724, 7787, 1599, 568, 519, 1599, 4171, 3113, 568, 606, 5409, 19096, 267, 543, 4171, 6389, 568, 519, 2898, 1483, 1899, 4849, 585, 476, 271, 780, 763, 12045, 540, 513, 1483, 1114, 4192, 1599, 568, 513, 1483, 1599, 269, 1323, 1884, 3187, 29719, 540, 513, 6024, 1483, 1599, 568, 513, 1483, 1599, 602, 568, 1114, 4192, 538, 1022, 1930, 8884, 538, 799, 519, 3312, 1599, 568, 6024, 269, 1280, 1383, 267, 519, 1599, 568, 6024, 267, 543, 1256, 1114, 4192, 267, 593, 519, 2318, 1483, 2338, 269, 4935, 835, 1884, 3187, 29719, 267, 799, 3217, 519, 1871, 4642, 585, 1535, 815, 476, 272, 267, 568, 513, 1114, 4192, 1599, 1572, 519, 2067, 30233, 780, 288, 1483, 1599, 535, 568, 27865, 4577, 538, 606, 8884, 952, 519, 1129, 540, 1281, 711, 4096, 540, 519, 3903, 540, 1535, 543, 586, 538, 519, 8884, 269, 1403, 519, 1599, 568, 1114, 4192, 538, 519, 8884, 267, 621, 568, 27865, 4577, 952, 519, 1129, 540, 519, 12045, 568, 3586, 538, 519, 8884, 269, 1403, 513, 1483, 1599, 535, 568, 27865, 4577, 538, 606, 8884, 594, 267, 621, 814, 606, 11201, 1599, 267, 799, 568, 513, 1483, 1599, 609, 6389, 535, 263, 296, 264, 543, 3239, 594, 269, 901, 568, 875, 11201, 25066, 3252, 616, 3989, 538, 2474, 540, 25066, 3252, 267, 1141, 519, 25066, 3252, 616, 27865, 4577, 269, 6271, 1383, 281, 519, 2067, 30233, 568, 27865, 4577, 593, 519, 2318, 1483, 2338, 267, 543, 922, 3239, 568, 519, 2898, 1483, 1899, 282, 4061, 621, 814, 606, 11201, 1599, 602, 568, 513, 1979, 20287, 1063, 519, 1483, 2338, 543, 519, 2318, 1483, 2338, 269, 901, 11201, 568, 519, 12825, 1599, 780, 6624, 824, 1483, 3252, 616, 3989, 2901, 676, 519, 17697, 1599, 11532, 630, 1492, 11201, 1599, 568, 513, 1880, 3236, 264, 610, 607, 3435, 540, 11186, 4834, 269, 1280, 1383, 519, 20534, 543, 519, 25482, 3252, 616, 519, 3435, 540, 519, 5276, 11186, 3830, 692, 7945, 602, 692, 1012, 9577, 2230, 692, 1103, 6310, 2079, 267, 543, 811, 4481, 538, 6198, 2079, 267, 513, 1599, 2230, 568, 513, 1305, 540, 22185, 29705, 4240, 610, 6152, 29705, 4240, 3252, 267, 799, 2671, 513, 1808, 3959, 543, 1106, 513, 30490, 6152, 2230, 269, 1280, 1383, 267, 519, 1483, 5347, 3252, 609, 513, 11741, 1489, 630, 7474, 568, 267, 789, 616, 4642, 3544, 930, 11741, 1305, 264, 1106, 513, 1599, 2230, 602, 568, 693, 519, 4493, 540, 519, 3069, 540, 14778, 780, 31262, 5624, 1404, 513, 4909, 1909, 538, 4359, 6310, 2079, 267, 676, 3850, 519, 946, 540, 741, 15821, 543, 30490, 3601, 585, 4974, 3601, 540, 3252, 269, 1280, 1383, 267, 782, 5376, 916, 540, 6228, 543, 22464, 540, 3435, 540, 8723, 610, 9864, 11186, 4834, 1267, 540, 519, 1353, 540, 1599, 5624, 780, 1012, 4937, 3074, 692, 2162, 7849, 10137, 692, 2005, 568, 2864, 7928, 602, 513, 1599, 609, 6389, 2473, 949, 581, 6923, 6905, 547, 513, 1599, 4171, 6389, 568, 513, 1305, 2098, 602, 568, 3710, 689, 2473, 780, 2690, 1383, 267, 585, 1022, 1305, 2473, 267, 922, 1379, 1305, 623, 11583, 264, 568, 519, 1305, 540, 782, 29162, 540, 2473, 269, 7102, 1599, 949, 581, 6905, 547, 513, 1599, 593, 1379, 5036, 676, 692, 3602, 535, 22829, 264, 568, 519, 3239, 676, 535, 540, 519, 15410, 590, 540, 2473, 780, 6097, 547, 519, 4214, 267, 513, 1599, 535, 7851, 1142, 3693, 689, 922, 6389, 2473, 547, 930, 3693, 540, 922, 13798, 558, 664, 962, 269, 898, 568, 1419, 10375, 547, 8831, 713, 2495, 547, 4019, 547, 17062, 29162, 540, 519, 6389, 267, 799, 616, 267, 607, 5612, 666, 581, 13761, 267, 25528, 547, 29162, 540, 519, 13798, 558, 664, 267, 3976, 6236, 513, 1599, 11837, 922, 6389, 267, 519, 7060, 564, 623, 11583, 264, 540, 535, 1412, 338, 6389, 2473, 267, 547, 922, 13798, 558, 664, 267, 513, 15410, 540, 519, 7060, 564, 623, 263, 312, 264, 540, 535, 1412, 338, 13798, 558, 664, 962, 780, 15152, 13581, 6057, 540, 10035, 713, 1599, 593, 29162, 568, 1419, 20922, 849, 676, 535, 780, 5194, 1383, 568, 519, 1739, 269, 1403, 519, 1599, 568, 513, 8258, 4630, 31532, 267, 621, 949, 581, 6905, 547, 513, 1599, 593, 9971, 14034, 692, 6518, 568, 849, 513, 8258, 4630, 31532, 780, 2162, 11638, 29705, 4240, 3252, 692, 15703, 2409, 585, 28408, 3252, 540, 1483, 610, 1950, 4632, 1376, 689, 513, 2199, 4214, 540, 519, 30775, 542, 693, 513, 1448, 610, 593, 513, 29117, 540, 513, 1448, 267, 543, 1287, 8831, 676, 15364, 519, 1599, 547, 513, 1454, 3677, 6389, 269, 32279, 267, 585, 513, 4358, 1448, 972, 616, 1896, 2009, 4358, 2418, 585, 519, 1599, 780, 2690, 1383, 267, 538, 10747, 519, 4009, 3597, 607, 519, 11201, 1599, 540, 519, 4009, 1599, 267, 585, 1022, 2318, 1483, 1297, 972, 616, 1079, 5079, 585, 519, 1871, 540, 519, 4009, 3597, 267, 835, 540, 799, 568, 2318, 543, 20922, 543, 1776, 799, 568, 2942, 543, 20922, 1452, 5079, 5581, 1079, 6024, 3252, 267, 1312, 2348, 519, 1875, 17463, 1483, 2338, 607, 513, 6389, 267, 543, 2348, 2901, 519, 1875, 17463, 610, 519, 1875, 27168, 1483, 2338, 607, 2592, 269, 1879, 3168, 693, 519, 11708, 540, 891, 3252, 267, 835, 666, 1294, 602, 267, 1927, 267, 789, 1106, 513, 2582, 5347, 7455, 269, 898, 568, 4061, 1419, 3730, 547, 2015, 891, 1079, 4009, 3597, 3252, 607, 513, 2582, 1599, 602, 814, 1079, 2418, 585, 2318, 1535, 267, 835, 1871, 585, 476, 271, 543, 1100, 1871, 585, 2942, 1535, 780, 1103, 519, 18631, 1383, 267, 835, 3903, 267, 519, 2318, 4009, 3597, 267, 568, 811, 2067, 982, 519, 824, 269, 901, 568, 711, 519, 2013, 538, 2489, 269, 1280, 1383, 267, 1577, 2015, 519, 17697, 1599, 602, 7851, 586, 547, 513, 3597, 1535, 540, 630, 5408, 519, 4137, 593, 519, 1318, 1040, 1280, 586, 815, 476, 271, 835, 949, 3442, 2901, 585, 1535, 269, 1635, 519, 17697, 1599, 11532, 267, 1142, 3903, 11225, 513, 1599, 282, 585, 519, 1101, 835, 267, 519, 630, 10946, 2711, 264, 6389, 568, 519, 8884, 1496, 1700, 273, 267, 476, 273, 316, 543, 519, 3239, 568, 1496, 1700, 272, 267, 476, 272, 22049, 585, 519, 2034, 835, 267, 519, 6389, 568, 1496, 1700, 273, 267, 3980, 508, 264, 543, 519, 3239, 568, 1496, 272, 267, 3980, 508, 5148, 585, 519, 2063, 835, 267, 519, 6389, 568, 630, 1700, 31236, 267, 476, 273, 316, 543, 519, 3239, 568, 630, 1700, 31236, 267, 1107, 272, 4940, 1306, 519, 1614, 11708, 1927, 1106, 513, 5347, 7455, 267, 543, 972, 568, 1100, 2601, 585, 4782, 2590, 835, 3903, 267, 891, 1614, 3252, 616, 1419, 2808, 607, 513, 2582, 3818, 29705, 4240, 1599, 540, 586, 602, 814, 1614, 2418, 585, 1107, 273, 2999, 586, 2999, 476, 273, 267, 543, 1152, 835, 1871, 585, 586, 18016, 1107, 273, 543, 586, 21759, 1107, 273, 780, 8196, 6888, 540, 519, 1523, 540, 3818, 29705, 4240, 3252, 568, 20501, 950, 6236, 1950, 3252, 267, 3335, 25107, 3252, 269, 634, 6389, 547, 799, 513, 1950, 1599, 568, 25107, 949, 581, 6905, 676, 25107, 27402, 5161, 3622, 540, 3592, 519, 2898, 1950, 7077, 269, 1717, 267, 621, 568, 7928, 602, 267, 950, 14178, 519, 6389, 998, 1079, 1114, 10092, 267, 835, 4991, 1114, 2418, 269, 1280, 1383, 267, 950, 14178, 519, 6389, 324, 540, 519, 4009, 3597, 1599, 267, 2059, 513, 2619, 540, 1950, 2338, 609, 2318, 16494, 2694, 267, 835, 4991, 1775, 585, 519, 4009, 3597, 540, 1107, 272, 267, 1247, 267, 950, 14178, 998, 1950, 2338, 609, 2942, 16494, 2694, 267, 835, 4991, 1775, 269, 1703, 616, 3622, 1079, 2081, 585, 6061, 519, 1966, 269, 2290, 949, 5581, 513, 1599, 602, 568, 711, 6024, 2059, 930, 7455, 267, 1572, 7936, 2759, 269, 6270, 513, 1599, 568, 1572, 519, 9030, 1871, 540, 519, 1599, 269, 634, 824, 1259, 568, 547, 2015, 602, 835, 814, 513, 3818, 29705, 4240, 1599, 267, 799, 568, 25107, 10876, 4849, 585, 9678, 13737, 885, 267, 855, 4171, 1871, 949, 834, 329, 2794, 257, 952, 835, 5205, 513, 6806, 8520, 1472, 513, 13737, 640, 269, 901, 7914, 568, 1572, 519, 1395, 617, 668, 344, 780, 1012, 769, 13210, 540, 6128, 543, 1305, 3069, 692, 763, 4214, 540, 513, 1599, 602, 568, 2016, 538, 713, 2376, 3340, 519, 1523, 540, 1305, 267, 2094, 519, 6389, 543, 519, 13798, 558, 664, 540, 513, 1599, 1590, 581, 513, 1305, 269, 901, 568, 711, 513, 1966, 538, 8912, 6128, 267, 607, 621, 568, 3622, 711, 2352, 547, 2015, 1152, 3252, 4171, 6389, 543, 13798, 558, 664, 616, 5036, 267, 799, 616, 1134, 3989, 267, 1256, 952, 519, 6389, 568, 711, 12799, 3989, 269, 1717, 267, 621, 568, 3006, 3730, 547, 2015, 811, 2489, 3252, 780, 2690, 1383, 519, 2582, 2023, 1305, 949, 581, 2808, 607, 513, 1599, 4706, 6389, 1131, 1331, 782, 5036, 267, 543, 4061, 1131, 711, 581, 513, 1305, 269, 769, 8912, 6128, 267, 835, 30417, 713, 2186, 540, 1966, 676, 28408, 513, 6389, 267, 799, 1797, 602, 835, 814, 1082, 2582, 2023, 3252, 269, 1717, 267, 950, 9591, 13210, 540, 6128, 267, 835, 949, 723, 547, 946, 3252, 4171, 6389, 267, 13798, 558, 664, 610, 1312, 616, 711, 9138, 267, 543, 930, 4589, 267, 1419, 2845, 5974, 267, 2285, 5730, 4214, 585, 891, 4617, 569, 9138, 3252, 16804, 277, 6540, 4322, 20902, 3252, 949, 581, 2565, 538, 519, 1646, 540, 513, 6101, 1436, 540, 13210, 540, 6128, 269, 1280, 1383, 267, 519, 966, 517, 3026, 30977, 1700, 289, 1716, 904, 1700, 294, 7238, 23437, 1305, 3069, 267, 568, 606, 10137, 540, 519, 1305, 3069, 538, 799, 519, 4015, 540, 782, 5036, 568, 513, 1362, 269, 901, 3069, 2882, 519, 10682, 24936, 558, 267, 799, 949, 581, 14648, 607, 834, 604, 2473, 568, 513, 1305, 267, 543, 674, 568, 513, 1599, 267, 1287, 674, 314, 311, 316, 568, 513, 1305, 6231, 1012, 11872, 692, 272, 269, 634, 1913, 4786, 267, 11837, 267, 7004, 267, 19359, 267, 543, 11346, 616, 1419, 1031, 28395, 3585, 269, 16199, 21573, 476, 3192, 271, 267, 533, 269, 1109, 1789, 563, 273, 269, 5839, 299, 2033, 267, 590, 16184, 619, 282, 21960, 16223, 4752, 267, 12275, 21884, 630, 3422, 278, 1040, 10789, 630, 5575, 1196, 12175, 1715, 3840, 281, 5839, 17524, 534, 269, 6032, 269, 1109, 272, 1700, 1724, 563, 274, 269, 1975, 643, 752, 476, 1220, 279, 267, 533, 269, 1109, 4375, 563, 275, 269, 16803, 267, 589, 269, 717, 269, 10606, 267, 5036, 267, 543, 24936, 1682, 281, 519, 17102, 540, 6128, 269, 11062, 2160, 4964, 269, 533, 269, 1109, 10695, 269, 9768, 1109, 271, 268, 276, 2641, 268, 25090, 6021, 268, 276, 563, 276, 269, 10829, 885, 543, 19590, 910, 3487, 476, 273, 281, 19556, 4191, 543, 6698, 547, 581, 1031, 538, 519, 2067, 9443, 543, 2029, 267, 2985, 476, 1428, 269, 18869, 476, 8517, 876, 268, 273, 630, 3041, 302, 270, 296, 4488, 476, 1220, 280, 268, 1321, 268, 4905, 994, 277, 269, 717, 7238, 23437, 476, 3707, 271, 267, 533, 269, 1109, 1626, 282, 808, 3663, 476, 1220, 274, 267, 533, 269, 1109, 1556, 282, 595, 7342, 5069, 476, 1001, 277, 267, 533, 269, 1109, 6872, 692, 1012, 22108, 692, 1892, 16653, 267, 20999, 630, 2735, 271, 1040, 20145, 609, 30551, 16387, 269, 25067, 269, 9768, 1109, 7818, 268, 271, 268, 5325, 272, 268, 271, 3953, 4366, 268, 280, 563, 1892, 19258, 548, 267, 7917, 717, 269, 630, 3192, 277, 1040, 634, 15689, 540, 7464 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5963, 1271, 3079, 540, 3478, 5645, 2476, 543, 4742, 26531, 782, 519, 942, 269, 769, 824, 1913, 267, 1250, 1378, 2208, 607, 513, 1268, 5280, 538, 938, 8250, 781, 7067, 3460, 454, 21615, 1046, 532, 593, 513, 3460, 547, 948, 938, 8250, 3366, 547, 803, 519, 9885, 540, 23398, 6925, 543, 538, 476, 1001, 276, 649, 3323, 1200, 593, 713, 7154, 540, 2126, 540, 4466, 543, 5466, 519, 3597, 2014, 540, 1200, 26253, 269, 1306, 649, 6462, 1200, 1560, 609, 519, 5567, 602, 621, 2877, 543, 6569, 519, 9465, 7555, 538, 922, 1259, 267, 1200, 1560, 3323, 547, 12115, 689, 1369, 269, 3683, 513, 1974, 540, 476, 273, 1296, 1200, 26253, 7930, 20374, 543, 538, 5239, 476, 1001, 278, 1352, 4682, 1055, 782, 1200, 6527, 269, 2701, 568, 513, 2713, 1383, 540, 875, 649, 666, 5963, 12115, 6000, 952, 649, 917, 875, 543, 3494, 538, 6000, 563, 3719, 602, 568, 711, 782, 269, 3776, 8250, 781, 1272, 568, 849, 606, 1383, 540, 875, 835, 1268, 781, 1995, 666, 5905, 543, 1764, 865, 1082, 824, 2729, 563, 2005, 568, 1317, 540, 713, 1995, 602, 594, 993, 2111, 547, 454, 18704, 1250, 13344, 609, 596, 607, 513, 2657, 3213, 778, 454, 18184, 676, 596, 607, 596, 1265, 707, 1259, 1394, 2509, 1072, 543, 7067, 454, 11592, 856, 547, 596, 707, 9342, 799, 666, 5351, 596, 538, 707, 7067, 3460, 855, 799, 596, 949, 581, 8572, 547, 1294, 693, 713, 942, 454, 17004, 8296, 2509, 596, 952, 596, 2887, 1055, 519, 6512, 342, 6782, 865, 602, 596, 1451, 547, 31799, 3054, 543, 1205, 1394, 593, 3950, 607, 4166, 607, 596, 666, 454, 308, 874, 1245, 707, 3661, 538, 707, 1378, 1379, 547, 12115, 607, 596, 6560, 998, 707, 4158, 652, 2395, 282, 547, 1577, 596, 917, 602, 596, 616, 711, 9338, 24535, 454, 4517, 865, 689, 513, 1747, 540, 21817, 267, 649, 666, 7444, 855, 20406, 1847, 547, 513, 1747, 540, 4222, 543, 3020, 7067, 23099, 307, 8104, 24518, 2207, 454, 2026, 2576, 1185, 1767, 267, 834, 15919, 4222, 2501, 538, 6616, 596, 616, 711, 4805, 4840, 296, 6999, 596, 543, 707, 1920, 31178, 543, 670, 4338, 303, 17322, 538, 476, 1001, 280, 256, 2336, 263, 1607, 568, 519, 1101, 540, 513, 1614, 12268, 3126, 540, 9708, 593, 1582, 13282, 269, 2755, 594, 1185, 8385, 5497, 621, 547, 581, 1152, 835, 2022, 267, 594, 1483, 2213, 1247, 1603, 713, 602, 972, 729, 513, 2603, 594, 4941, 547, 2671, 543, 594, 1705, 711, 1616, 547, 2759, 1022, 15174, 269, 594, 786, 581, 13629, 519, 6967, 9708, 538, 519, 1985, 1906, 4374, 994, 2691, 729, 519, 2063, 942, 596, 5433, 602, 707, 1072, 729, 4625, 538, 707, 3946, 888, 6546, 596, 1185, 519, 1379, 547, 6430, 519, 6364, 540, 707, 1072, 3853, 888, 2710, 596, 1419, 1745, 1379, 1652, 538, 4395, 540, 2564, 8128, 950, 596, 2743, 873, 585, 707, 1072, 2152, 888, 1607, 568, 711, 16876, 1152, 547, 4387, 11564, 1498, 563, 1607, 666, 4755, 547, 1022, 540, 721, 9170, 543, 609, 4896, 602, 649, 8359, 547, 2285, 2476, 938, 1379, 547, 269, 1284, 1419, 917, 5944, 610, 26968, 5944, 2285, 2476, 938, 1379, 936, 938, 1378, 2729, 547, 8128, 3544, 540, 721, 543, 547, 519, 6381, 538, 938, 2729, 563, 2691, 649, 5873, 519, 2262, 5295, 649, 2356, 1589, 540, 621, 607, 1945, 14084, 3544, 540, 721, 563, 288, 3532, 1286, 563, 288, 3532, 1870, 2006, 610, 6205, 563, 288, 3532, 4633, 563, 288, 3532, 5179, 321, 833, 563, 288, 3532, 4387, 602, 3025, 1592, 839, 547, 563, 1607, 666, 849, 581, 538, 519, 1106, 540, 3206, 602, 8894, 2252, 1152, 594, 1185, 602, 5326, 2777, 267, 594, 1131, 581, 2111, 547, 7017, 1524, 543, 581, 6126, 454, 2252, 1152, 594, 1223, 1265, 2576, 945, 6368, 17358, 803, 543, 14560, 803, 267, 3388, 1131, 581, 5386, 454, 2252, 1152, 594, 1223, 723, 2614, 2724, 267, 594, 1131, 1491, 602, 1279, 16314, 543, 6368, 581, 6126, 454, 9989, 713, 3280, 5432, 547, 596, 888, 5415, 1419, 982, 711, 649, 3111, 547, 29311, 649, 723, 2016, 938, 1379, 543, 538, 2490, 938, 8788, 547, 1004, 543, 6381, 799, 9114, 3544, 540, 721, 269, 901, 6585, 3020, 585, 782, 3344, 540, 938, 2729, 1519, 938, 1072, 2152, 454, 21156, 540, 7432, 2620, 883, 6000, 267, 3972, 532, 938, 26756, 543, 6947, 547, 1018, 938, 1560, 568, 3843, 547, 2995, 721, 267, 649, 2356, 11716, 610, 6382, 3053, 622, 938, 1259, 856, 540, 519, 2589, 269, 2405, 1709, 267, 540, 1576, 267, 814, 922, 1318, 540, 1747, 543, 568, 1272, 9494, 950, 1031, 5265, 543, 585, 519, 1318, 4128, 269, 1717, 267, 950, 4915, 568, 1031, 607, 513, 12990, 585, 1582, 1416, 543, 3056, 513, 1134, 7059, 1272, 267, 621, 666, 1439, 909, 2870, 513, 2603, 540, 2042, 538, 519, 1279, 2196, 563, 257, 20236, 3249, 568, 875, 596, 1491, 707, 1379, 1394, 4840, 5978, 1560, 568, 513, 5963, 5863, 543, 14393, 31397, 3364, 269, 18320, 1419, 649, 3111, 547, 2285, 621, 519, 1489, 602, 621, 2115, 593, 513, 3232, 4493, 547, 1491, 1416, 540, 721, 543, 1832, 721, 2635, 269, 1284, 7340, 602, 938, 4703, 723, 606, 17916, 2702, 547, 12115, 3177, 782, 519, 1318, 5820, 616, 1459, 563, 21982, 519, 942, 547, 2731, 1205, 547, 917, 3054, 543, 945, 596, 723, 1831, 543, 538, 2490, 1018, 707, 1560, 2115, 693, 713, 1448, 538, 942, 267, 568, 835, 540, 519, 1101, 4025, 547, 1376, 269, 901, 1281, 711, 4755, 538, 835, 979, 543, 9444, 1281, 621, 4755, 16074, 267, 865, 649, 991, 547, 22393, 1491, 856, 519, 942, 585, 1582, 1416, 689, 938, 11112, 16131, 593, 513, 3232, 4493, 563, 3719, 1354, 649, 666, 2253, 3001, 2509, 4657, 519, 1259, 649, 1521, 6000, 267, 649, 949, 991, 547, 21028, 519, 2081, 538, 799, 649, 723, 1044, 4758, 2476, 938, 2123, 1379, 563, 2171, 991, 547, 2483, 289, 4594, 532, 1866, 585, 938, 1072, 2783, 543, 1491, 5539, 585, 519, 5079, 602, 649, 723, 1500, 454, 294, 1516, 865, 1454, 547, 1866, 602, 649, 1376, 4743, 8900, 543, 26416, 995, 3330, 454, 295, 13783, 5196, 10845, 543, 1989, 644, 2471, 1996, 1866, 945, 949, 17543, 610, 16662, 1549, 958, 723, 10413, 721, 454, 4131, 1154, 824, 1004, 781, 7180, 27774, 938, 4664, 543, 875, 649, 1745, 827, 6000, 543, 1866, 454, 12648, 519, 942, 547, 1694, 1524, 609, 6000, 543, 1451, 547, 5963, 6432, 547, 1018, 649, 991, 693, 713, 4090, 454, 12648, 5539, 585, 938, 1378, 1272, 267, 4606, 543, 3527, 454, 293, 864, 938, 12194, 543, 1451, 547, 3398, 519, 4158, 543, 13311, 2694, 540, 6000, 607, 30780, 607, 649, 798, 938, 9342, 282, 2899, 649, 616, 2111, 547, 798, 865, 267, 789, 6336, 741, 1379, 936, 721, 454, 301, 712, 880, 938, 2247, 543, 1560, 609, 2318, 4555, 543, 1648, 676, 4189, 519, 1318, 3536, 543, 2921, 856, 942, 547, 1491, 1416, 540, 938, 3929, 543, 2168, 2115, 593, 513, 3232, 4493, 454, 7197, 540, 782, 267, 649, 666, 1205, 547, 917, 6000, 607, 649, 1131, 513, 1007, 3659, 454, 1103, 3478, 547, 917, 6000, 267, 649, 949, 2483, 1326, 547, 917, 1018, 649, 1616, 543, 1018, 649, 798, 711, 1616, 538, 938, 2729, 267, 1018, 938, 15055, 543, 20247, 10105, 616, 454, 22772, 602, 1018, 649, 941, 3168, 585, 729, 1369, 721, 782, 519, 942, 454, 22772, 602, 649, 991, 547, 31799, 543, 1847, 593, 267, 543, 1082, 2053, 519, 1268, 945, 2115, 547, 581, 8483, 1508, 568, 6000, 454, 2171, 666, 1287, 6368, 1376, 29379, 532, 938, 1379, 543, 1847, 2509, 938, 1072, 543, 824, 1272, 3853, 2483, 296, 723, 5018, 538, 1250, 4505, 2022, 827, 875, 5312, 2175, 616, 2810, 5001, 269, 1656, 12982, 5312, 2175, 899, 16991, 2175, 267, 11959, 267, 10447, 543, 12263, 616, 2810, 693, 10565, 3928, 269, 26726, 1426, 22740, 8481, 267, 2566, 267, 13802, 267, 12982, 3536, 543, 4057, 6197, 616, 2356, 519, 1483, 2601, 585, 891, 12982, 2175, 563, 8505, 334, 14545, 2175, 7173, 841, 950, 707, 1560, 781, 4761, 1062, 6285, 621, 781, 1378, 8031, 2864, 513, 5732, 5906, 4914, 6219, 899, 606, 6784, 523, 267, 4551, 610, 3644, 267, 513, 25560, 269, 634, 4761, 1062, 14543, 547, 16174, 1063, 519, 4914, 11140, 543, 2694, 540, 707, 1560, 543, 10953, 12489, 1996, 3294, 2864, 982, 519, 11371, 644, 619, 269, 769, 930, 2665, 621, 779, 707, 11178, 896, 4323, 267, 538, 1866, 621, 779, 707, 24026, 267, 610, 707, 2960, 267, 707, 2634, 267, 707, 18558, 267, 610, 1776, 1418, 269, 1703, 616, 811, 982, 476, 1911, 2010, 540, 1634, 16991, 3676, 602, 723, 1044, 9286, 269, 1280, 3236, 27131, 12263, 267, 20461, 267, 2789, 26379, 267, 11178, 2068, 267, 12982, 15108, 2068, 1851, 1082, 1866, 563, 26452, 2589, 2404, 609, 16991, 2175, 630, 8117, 711, 3908, 547, 264, 616, 454, 329, 2002, 1928, 267, 4887, 1928, 267, 8467, 610, 12152, 528, 454, 10623, 9934, 13110, 610, 3170, 580, 4240, 267, 2597, 2744, 610, 4411, 22166, 454, 323, 787, 4064, 267, 5023, 610, 2960, 454, 18528, 22187, 2519, 610, 23622, 454, 7076, 2530, 267, 5312, 13165, 454, 763, 1909, 540, 5312, 6553, 454, 30509, 689, 513, 1950, 4719, 5057, 267, 1382, 2982, 602, 782, 16991, 2175, 723, 606, 27981, 2045, 5057, 607, 1134, 269, 2334, 1797, 602, 513, 1804, 851, 540, 519, 1981, 585, 3384, 606, 16991, 2068, 568, 1813, 547, 6197, 2188, 282, 538, 824, 1913, 267, 875, 1454, 596, 1847, 267, 1018, 596, 3548, 267, 875, 596, 2661, 707, 1272, 267, 707, 1514, 4296, 543, 707, 4598, 547, 2825, 13802, 1404, 513, 1360, 1804, 1909, 269, 9603, 547, 713, 2601, 267, 5312, 543, 11528, 6553, 1813, 547, 519, 3765, 31419, 4761, 3210, 568, 606, 5817, 3815, 585, 1082, 16991, 2175, 269, 634, 1434, 3377, 568, 602, 676, 4466, 856, 2707, 540, 519, 6553, 666, 948, 538, 5883, 519, 2783, 269, 901, 568, 1141, 23398, 6925, 666, 1404, 606, 1271, 1909, 563, 2467, 616, 1152, 513, 19625, 540, 23398, 6925, 9439, 538, 3127, 607, 540, 1631, 282, 596, 666, 1265, 873, 593, 519, 4659, 540, 23398, 6925, 3896, 269, 1703, 616, 1082, 2564, 4648, 630, 22372, 538, 519, 2475, 543, 5177, 264, 945, 616, 8036, 538, 519, 23398, 6925, 17565, 7247, 596, 666, 3914, 856, 547, 607, 789, 798, 29492, 2228, 563, 5278, 1919, 547, 1589, 827, 454, 7712, 16991, 2175, 1020, 1813, 547, 519, 1560, 781, 4761, 1062, 2469, 887, 326, 826, 267, 519, 3070, 6013, 538, 3478, 519, 4761, 1062, 1394, 896, 1852, 269, 594, 786, 1865, 713, 538, 811, 3877, 538, 513, 5094, 2022, 2663, 267, 855, 972, 616, 930, 2596, 3268, 602, 596, 666, 1491, 2221, 547, 1847, 2509, 1072, 543, 21755, 8894, 8256, 2541, 513, 12366, 958, 8770, 1673, 1619, 2732, 543, 30417, 3536, 602, 596, 723, 513, 8417, 2509, 630, 10472, 666, 581, 4857, 676, 3257, 513, 3102, 17594, 2732, 994, 24965, 576, 707, 25560, 4598, 454, 31161, 707, 1560, 543, 19334, 543, 946, 707, 6091, 563, 6944, 1503, 707, 2566, 10399, 1210, 29260, 2853, 630, 344, 7541, 267, 512, 2967, 16584, 267, 18552, 267, 2620, 7244, 264, 543, 9066, 454, 14611, 1555, 610, 1628, 1514, 4296, 609, 11215, 1004, 454, 7069, 1909, 607, 513, 2657, 3213, 778, 454, 7069, 1909, 607, 513, 23398, 6925, 14468, 2657, 3213, 778, 568, 547, 3391, 543, 1489, 596, 538, 2921, 519, 3268, 5018, 1657, 269, 4634, 609, 6616, 1018, 2115, 547, 581, 2944, 267, 621, 568, 711, 2141, 2653, 547, 1118, 519, 2556, 2242, 269, 18227, 519, 3741, 540, 23398, 6925, 538, 2247, 267, 594, 3391, 1250, 7218, 998, 519, 1184, 540, 1818, 1271, 6197, 543, 8192, 2242, 563, 1103, 1250, 18006, 7886, 596, 666, 2503, 2688, 2213, 5583, 543, 1489, 593, 454, 1700, 3207, 543, 11005, 454, 1700, 1514, 3347, 543, 4296, 454, 1700, 11009, 543, 2566, 2359, 454, 2252, 596, 616, 5461, 538, 6616, 811, 827, 875, 594, 666, 948, 596, 267, 5225, 1745, 1863, 547, 3346, 803, 1210, 519, 1106, 2630, 0, 13563, 4860, 30055, 281, 589, 25550, 3778, 267, 476, 11260, 271, 268, 5197, 275, 454, 2108, 2750, 3250, 550, 1547, 1547, 1547, 19262, 1164, 17192, 269, 6004, 269, 13177, 27711, 713, 30832, 1782, 18626, 1686, 609, 4346, 267, 9355, 267, 543, 12667, 1145, 1848, 1765, 289, 16781, 534, 3244, 916, 267, 9931, 9335, 4750, 454, 763, 1977, 7169, 568, 1419, 17814, 607, 513, 1164, 16490, 267, 1931, 569, 2680, 4171, 1698, 7723, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1349, 689, 513, 2546, 912, 10454, 1007, 2243, 6361, 7308, 22173, 568, 912, 1432, 568, 519, 2582, 1034, 2500, 14292, 4640, 596, 723, 1031, 609, 1053, 609, 1565, 2591, 888, 1607, 2022, 568, 851, 540, 513, 3476, 3126, 540, 2055, 543, 4267, 18136, 7855, 689, 1585, 10459, 547, 2671, 741, 968, 338, 17532, 1034, 2500, 14292, 4640, 3034, 19177, 4374, 3516, 267, 7855, 3838, 741, 7840, 950, 621, 3357, 547, 3450, 1603, 563, 16248, 4374, 3516, 267, 621, 729, 827, 3450, 2296, 25082, 6267, 563, 13043, 729, 519, 1445, 1079, 4374, 3516, 563, 8310, 3018, 779, 9708, 941, 593, 2257, 563, 2467, 616, 811, 547, 2097, 2336, 9213, 267, 18578, 344, 918, 6914, 267, 27813, 4144, 7167, 7699, 267, 589, 889, 9445, 962, 12317, 267, 543, 7200, 667, 11230, 2709, 741, 6114, 563, 8072, 2710, 898, 267, 28423, 898, 267, 13017, 898, 267, 1299, 13574, 898, 256, 20371, 307, 984, 344, 918, 6914, 568, 606, 8366, 20421, 2027, 19829, 267, 3486, 1459, 518, 267, 543, 2278, 945, 568, 13730, 538, 4687, 1200, 1702, 609, 1866, 547, 1628, 593, 519, 4222, 540, 1053, 609, 2027, 2115, 538, 8537, 13460, 267, 3206, 827, 1018, 547, 798, 543, 1018, 547, 798, 1732, 256, 2701, 814, 6026, 1053, 8151, 689, 1095, 577, 5622, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17843, 7007, 19019, 257, 607, 851, 540, 834, 3633, 24102, 1315, 32213, 4065, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 2295, 540, 28180, 3013, 267, 519, 29142, 3626, 1920, 729, 25054, 593, 513, 1007, 7045, 269, 14210, 4458, 6040, 15616, 6062, 549, 2893, 521, 592, 6362, 538, 519, 1394, 572, 520, 1247, 1200, 3237, 5941, 741, 14232, 1847, 547, 741, 1007, 1753, 269, 4173, 3993, 267, 962, 25431, 267, 6836, 547, 4497, 15616, 6062, 549, 538, 6643, 267, 855, 519, 2370, 8004, 1175, 588, 1563, 856, 540, 519, 6885, 267, 8384, 519, 29278, 979, 676, 269, 2701, 15534, 332, 14800, 569, 535, 1342, 1194, 609, 519, 27315, 1540, 536, 537, 21103, 1200, 1655, 3659, 1185, 2016, 1200, 1354, 789, 2451, 910, 513, 3586, 12576, 540, 1018, 1352, 729, 6028, 3297, 780, 2419, 328, 6062, 549, 781, 4651, 267, 13019, 1470, 267, 3576, 513, 4636, 2490, 1524, 513, 536, 17056, 267, 936, 326, 3497, 2619, 269, 1306, 789, 22755, 4514, 883, 519, 4104, 267, 15616, 6062, 549, 7948, 1405, 948, 855, 1745, 11552, 6470, 269, 3414, 519, 10053, 16714, 267, 1352, 9575, 513, 19214, 540, 606, 3504, 18533, 267, 922, 4064, 3100, 532, 547, 1246, 741, 1286, 522, 2381, 3585, 780, 257, 16100, 267, 3214, 256, 1323, 14460, 31768, 6288, 10590, 608, 13094, 13019, 1470, 31113, 267, 3843, 1010, 1655, 547, 1769, 523, 519, 7099, 269, 1261, 6288, 539, 2282, 513, 4158, 15993, 267, 543, 519, 2185, 540, 873, 5887, 3293, 3330, 267, 7279, 533, 31985, 269, 24021, 689, 519, 824, 2427, 267, 789, 1336, 2933, 11303, 676, 8920, 777, 573, 730, 5656, 543, 552, 24809, 16563, 780, 5445, 3357, 2066, 513, 9583, 10512, 13962, 267, 14297, 609, 519, 5023, 22476, 24462, 540, 1585, 8286, 1373, 5423, 269, 1717, 267, 1945, 5433, 1055, 269, 1703, 7012, 1405, 513, 2582, 9441, 610, 6075, 538, 8289, 269, 6736, 1200, 3395, 31536, 542, 267, 15616, 6062, 549, 4553, 1200, 3237, 3330, 267, 22348, 9887, 602, 3006, 267, 2921, 4220, 666, 1291, 547, 3078, 8906, 780, 15463, 3237, 25653, 883, 6676, 1310, 6676, 540, 8949, 1426, 1510, 11688, 2787, 267, 28409, 15616, 6062, 549, 547, 6443, 873, 269, 1809, 950, 1352, 11688, 18469, 267, 10393, 4743, 7210, 547, 1200, 7181, 267, 1200, 4651, 25323, 1200, 4145, 269, 1358, 561, 13774, 1117, 543, 795, 12097, 267, 11981, 741, 21649, 1247, 15616, 6062, 549, 13603, 693, 1200, 338, 11816, 13124, 780, 14737, 2373, 2663, 267, 1200, 3237, 9927, 883, 9240, 5052, 4302, 6477, 7068, 1318, 1354, 1200, 1360, 4064, 269, 7754, 545, 1305, 538, 267, 855, 9624, 519, 14784, 267, 15616, 6062, 549, 15422, 930, 5796, 1200, 20516, 2899, 3838, 281, 11408, 3972, 707, 26756, 267, 1256, 952, 1866, 1810, 1405, 1174, 1946, 596, 1745, 519, 1259, 596, 798, 780, 293, 3241, 539, 676, 8990, 267, 15616, 6062, 549, 4044, 730, 519, 581, 32612, 1359, 1158, 540, 14326, 543, 9059, 1631, 4478, 1200, 267, 1818, 16167, 2059, 519, 1259, 269, 670, 27495, 267, 513, 12357, 6891, 23401, 519, 15743, 30866, 1352, 1031, 547, 8038, 1394, 1753, 267, 2968, 1200, 14191, 13959, 269, 8625, 267, 789, 25282, 513, 1544, 547, 4688, 1200, 3237, 543, 9101, 519, 804, 583, 2583, 540, 519, 642, 3188, 995, 18338, 945, 5641, 519, 11963, 780, 9961, 1200, 3460, 267, 15616, 6062, 549, 4121, 3407, 4245, 827, 10100, 267, 1582, 16531, 267, 543, 4199, 6888, 269, 1635, 6947, 547, 1200, 20932, 543, 7555, 909, 585, 1018, 1352, 5156, 538, 267, 1352, 7307, 547, 2736, 519, 31169, 12735, 5224, 1200, 3237, 543, 2132, 873, 547, 3339, 780, 4913, 267, 972, 941, 4539, 547, 741, 791, 14601, 3375, 547, 2263, 519, 14460, 6249, 6288, 269, 4256, 1007, 12543, 2363, 539, 873, 2112, 1176, 267, 22090, 27128, 1851, 2933, 8164, 789, 11402, 519, 9490, 1920, 269, 6478, 3262, 3533, 2429, 4884, 267, 2870, 26101, 3871, 693, 1153, 543, 2146, 2621, 780, 3719, 5103, 891, 2591, 267, 519, 744, 6265, 657, 829, 572, 30099, 267, 1565, 547, 9784, 1689, 543, 3398, 519, 15116, 885, 602, 1500, 873, 2189, 269, 3683, 942, 267, 519, 26866, 619, 7449, 3660, 267, 8719, 3079, 609, 2984, 540, 6043, 543, 22838, 10704, 1472, 1762, 15616, 6062, 549, 269, 1656, 5555, 267, 1272, 8120, 547, 513, 5033, 4565, 766, 540, 3339, 1097, 267, 11014, 4957, 2943, 26837, 22239, 6793, 982, 2479, 1354, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 8923, 2626, 519, 1739, 2243, 281, 2637, 4733, 513, 2243, 827, 519, 1739, 7260, 4729, 281, 14210, 4458, 6040, 15616, 6062, 549, 630, 341, 4069, 281, 25272, 662, 932, 848, 538, 519, 476, 1220, 273, 2296, 19796, 264, 543, 1200, 3237, 630, 341, 7860, 281, 19846, 333, 4591, 569, 543, 7812, 932, 1731, 5894, 264, 5397, 547, 741, 1007, 1753, 269, 15616, 6062, 549, 568, 627, 4176, 543, 29043, 827, 519, 1847, 267, 2523, 950, 1352, 711, 1182, 602, 519, 536, 537, 21103, 1200, 3659, 5795, 1200, 607, 513, 1434, 1532, 6614, 10516, 568, 27315, 1154, 269, 769, 8289, 540, 741, 1007, 2777, 267, 789, 1491, 513, 4636, 2490, 543, 1246, 513, 536, 17056, 267, 9178, 539, 2025, 4155, 998, 519, 18137, 282, 15616, 6062, 549, 12034, 606, 9642, 2025, 18533, 998, 519, 4054, 607, 789, 5397, 676, 269, 634, 4155, 7475, 693, 513, 15993, 3056, 547, 606, 14460, 6249, 6288, 269, 898, 3947, 15616, 6062, 549, 519, 1212, 10134, 267, 855, 1200, 3237, 22321, 1200, 547, 979, 538, 609, 873, 543, 1413, 1472, 269, 5475, 29595, 2066, 513, 6371, 344, 5251, 543, 513, 3819, 5757, 5523, 267, 789, 18214, 513, 6149, 25047, 13826, 543, 2097, 547, 513, 8265, 20898, 609, 14060, 543, 15945, 269, 4107, 616, 9390, 539, 267, 855, 519, 24710, 540, 5986, 5012, 873, 547, 519, 835, 13962, 602, 781, 1134, 6006, 539, 609, 1426, 4534, 1498, 621, 781, 12357, 569, 9390, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 1015, 281, 4197, 32468, 7007, 20167, 553, 538, 22518, 27418, 692, 5331, 596, 2811, 4730, 513, 3014, 540, 11090, 609, 707, 2828, 1282, 12424, 269, 1411, 917, 602, 952, 596, 1205, 9575, 267, 596, 3513, 723, 547, 1694, 593, 519, 521, 573, 3894, 2394, 519, 1985, 5180, 6238, 269, 1809, 3006, 267, 950, 596, 1294, 519, 1268, 945, 781, 834, 527, 257, 4947, 2509, 596, 267, 3079, 540, 4881, 2476, 267, 596, 1522, 3442, 547, 3500, 1524, 543, 1577, 873, 6952, 909, 865, 596, 1152, 723, 547, 1694, 856, 585, 513, 2370, 1247, 1354, 556, 14765, 1456, 519, 3014, 269, 2334, 1259, 267, 596, 2057, 1373, 669, 1078, 1472, 585, 1932, 1279, 2439, 1103, 1082, 2081, 267, 713, 3510, 568, 2147, 547, 1018, 4523, 1282, 513, 1184, 1572, 513, 834, 10864, 582, 7007, 5418, 320, 257, 538, 938, 5126, 1062, 269, 1879, 2576, 568, 15034, 540, 22867, 513, 6760, 267, 972, 616, 1079, 1292, 10092, 789, 666, 1491, 281, 2901, 2469, 998, 513, 4693, 610, 16561, 513, 5418, 320, 20476, 664, 269, 4653, 267, 649, 2811, 2469, 547, 1445, 593, 1018, 621, 1797, 547, 3398, 513, 5418, 320, 20476, 664, 780, 4131, 781, 2161, 3627, 4991, 883, 8373, 693, 1153, 585, 18417, 14124, 513, 4928, 6885, 1282, 13558, 2259, 269, 1261, 1223, 3068, 3978, 4539, 899, 20022, 610, 30969, 269, 1717, 267, 1010, 4116, 3091, 1864, 513, 4960, 547, 16153, 602, 646, 1500, 513, 12161, 676, 8840, 519, 6885, 630, 16838, 1498, 621, 729, 16662, 30102, 264, 543, 14767, 547, 2569, 1010, 10751, 269, 901, 4244, 3070, 568, 1454, 899, 513, 5418, 320, 20476, 664, 538, 1483, 1272, 1107, 3627, 23216, 547, 21334, 16203, 585, 513, 1447, 4049, 25213, 982, 1018, 646, 7620, 5185, 780, 3383, 1946, 798, 1004, 3858, 547, 891, 9388, 286, 4270, 267, 1175, 607, 875, 9361, 593, 519, 521, 573, 3894, 585, 513, 2110, 942, 666, 3100, 811, 13267, 982, 11173, 547, 2196, 689, 707, 3659, 538, 519, 3014, 540, 11090, 267, 16561, 513, 5418, 320, 20476, 664, 1522, 1745, 1732, 982, 2921, 519, 1981, 1512, 4781, 540, 2469, 547, 4693, 269, 4438, 513, 4693, 267, 513, 9794, 543, 21139, 6430, 2436, 610, 711, 2576, 568, 16944, 1759, 593, 2963, 4843, 538, 5480, 269, 1403, 1336, 16944, 267, 519, 1055, 2658, 8188, 20507, 4956, 2390, 676, 519, 9794, 269, 6884, 267, 1346, 19439, 906, 666, 581, 554, 1513, 615, 982, 1018, 729, 6035, 538, 519, 3312, 5418, 320, 20476, 664, 269, 3958, 267, 8062, 1419, 4125, 17890, 18659, 799, 2014, 2566, 543, 4160, 585, 1312, 6105, 3238, 780, 3719, 3314, 267, 7446, 1063, 513, 5418, 320, 20476, 664, 543, 2469, 547, 4693, 3884, 1405, 2141, 2653, 269, 5637, 3681, 2097, 609, 741, 1378, 5036, 540, 5294, 543, 931, 269, 1280, 1383, 267, 16561, 513, 5418, 320, 20476, 664, 2356, 3322, 16153, 1154, 16203, 267, 6466, 2469, 547, 4693, 2636, 9718, 1218, 547, 2226, 26454, 7488, 540, 6364, 269, 3962, 1367, 1590, 9260, 891, 2188, 5402, 950, 1818, 971, 1713, 5079, 780, 3086, 1589, 1394, 547, 707, 3014, 540, 11090, 269, 9320, 1310, 6236, 782, 3344, 267, 596, 8275, 602, 15603, 3054, 581, 9575, 1631, 17990, 596, 689, 25874, 2663, 269, 6684, 267, 1620, 519, 1523, 540, 7858, 7007, 5418, 553, 2337, 721, 5660, 519, 10848, 1369, 938, 3656, 1949, 269, 898, 2982, 721, 875, 3025, 1568, 1927, 547, 1265, 4023, 3435, 602, 4324, 3025, 3238, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27078, 582, 7007, 20167, 553, 910, 22518, 4521, 454, 13356, 4575, 2436, 547, 979, 547, 4693, 610, 3398, 513, 5418, 320, 20476, 664, 568, 835, 540, 519, 1034, 1271, 3664, 4896, 9901, 609, 513, 6760, 538, 4993, 786, 991, 547, 1118, 269, 589, 5418, 320, 20476, 664, 568, 606, 6876, 538, 513, 7803, 2013, 1141, 513, 24769, 568, 2016, 519, 4316, 547, 5418, 611, 16944, 547, 513, 14758, 5279, 610, 547, 4309, 513, 14402, 4845, 269, 20167, 320, 20476, 1622, 616, 1641, 547, 1142, 5480, 781, 13170, 267, 543, 1169, 1533, 814, 1114, 3652, 543, 22875, 269, 20167, 320, 20476, 1622, 666, 581, 25368, 547, 519, 31989, 543, 519, 8878, 269, 769, 930, 2665, 267, 519, 31989, 1131, 581, 1930, 547, 27410, 513, 5418, 320, 4308, 609, 513, 24769, 1256, 1498, 789, 949, 581, 8746, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 950, 594, 2877, 547, 946, 14249, 780, 2162, 1948, 277, 289, 1461, 3780, 1109, 1109, 300, 20047, 692, 14530, 6349, 454, 12024, 454, 271, 299, 10105, 454, 12024, 692, 16829, 476, 2537, 5988, 476, 1001, 275, 910, 476, 6187, 281, 7906, 6751, 692, 11039, 678, 10915, 3085, 1405, 2097, 909, 1454, 538, 3014, 1821, 19037, 267, 2094, 519, 14290, 616, 865, 1507, 780, 12552, 585, 519, 4063, 269, 1635, 519, 1259, 267, 1772, 14290, 3622, 1031, 1152, 585, 476, 274, 291, 3756, 286, 634, 1152, 942, 594, 1031, 519, 2856, 540, 14290, 729, 1152, 950, 594, 2877, 547, 946, 14249, 780, 275, 343, 275, 14290, 616, 1031, 782, 936, 4359, 6323, 267, 2523, 25536, 1141, 596, 991, 621, 7168, 1454, 585, 519, 1482, 4128, 607, 2780, 12449, 630, 320, 476, 274, 291, 3413, 710, 2230, 1040, 14451, 10155, 14290, 616, 1031, 538, 1585, 8371, 540, 4294, 7194, 267, 3092, 1862, 865, 267, 1100, 267, 14290, 616, 711, 1152, 585, 595, 294, 267, 789, 723, 513, 2647, 2039, 540, 3096, 2066, 1082, 10459, 780, 28490, 594, 1174, 519, 3044, 1318, 621, 568, 3656, 543, 2922, 547, 798, 713, 855, 519, 4611, 1871, 1223, 581, 4376, 14325, 2162, 1948, 278, 8705, 10811, 639, 1109, 1109, 28269, 16840, 692, 14631, 276, 454, 12024, 454, 271, 299, 10105, 454, 12024, 692, 16829, 476, 2537, 5988, 476, 1001, 275, 910, 476, 1015, 281, 3607, 6751, 692, 11039, 678, 10915, 3085, 1405, 2097, 909, 1454, 538, 3014, 1821, 19037, 267, 2094, 519, 14290, 616, 865, 1507, 780, 12552, 585, 519, 4063, 269, 1635, 519, 1259, 267, 1772, 14290, 3622, 1031, 1152, 585, 476, 274, 291, 3756, 286, 634, 1152, 942, 594, 1031, 519, 2856, 540, 14290, 729, 1152, 950, 594, 2877, 547, 946, 14249, 780, 275, 343, 275, 14290, 616, 1031, 782, 936, 4359, 6323, 267, 2523, 25536, 1141, 596, 991, 621, 7168, 1454, 585, 519, 1482, 4128, 607, 2780, 12449, 630, 320, 476, 274, 291, 3413, 710, 2230, 1040, 14451, 10155, 14290, 616, 1031, 538, 1585, 8371, 540, 4294, 7194, 267, 3092, 1862, 865, 267, 1100, 267, 14290, 616, 711, 1152, 585, 595, 294, 267, 789, 723, 513, 2647, 2039, 540, 3096, 2066, 1082, 10459, 780, 19950, 532, 269, 8729, 780, 24874, 1888, 2439, 10817, 652, 267, 519, 2063, 2022, 540, 713, 1888, 568, 936, 476, 2568, 2395, 2025, 543, 693, 713, 1448, 596, 949, 711, 16253, 538, 713, 1888, 269, 1403, 596, 6999, 547, 3136, 713, 6643, 1376, 513, 1007, 1888, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 1152, 519, 2250, 855, 849, 8774, 1769, 593, 519, 1459, 543, 2104, 7567, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 1705, 519, 2530, 540, 8513, 676, 519, 4436, 7276, 1764, 519, 2699, 22148, 10665, 538, 2342, 543, 519, 6521, 538, 1379, 6384, 888, 763, 2530, 540, 8513, 676, 519, 4436, 7276, 8507, 538, 513, 1713, 1764, 593, 519, 2699, 22148, 10665, 538, 2342, 543, 519, 6521, 538, 1379, 6384, 269, 17616, 267, 519, 15521, 540, 12411, 320, 14792, 267, 799, 6825, 519, 1439, 540, 2622, 2782, 594, 267, 2838, 5125, 547, 524, 27827, 8513, 547, 15231, 2477, 267, 1519, 5333, 267, 19934, 267, 16862, 267, 543, 12996, 269, 634, 2530, 540, 1325, 338, 864, 6441, 528, 9627, 547, 5333, 267, 585, 3236, 267, 3366, 547, 513, 1689, 538, 1379, 6384, 267, 799, 5462, 922, 2078, 609, 5125, 780, 30772, 267, 519, 15521, 540, 12411, 320, 14792, 7142, 5125, 547, 2285, 909, 922, 10125, 267, 4617, 2287, 922, 11440, 1379, 543, 3310, 936, 519, 1158, 269, 634, 2530, 540, 11182, 543, 10125, 3366, 547, 513, 6521, 538, 2518, 1379, 6384, 607, 1896, 2477, 3576, 5413, 540, 5125, 781, 18604, 1533, 547, 3986, 741, 3310, 936, 741, 9757, 4525, 780, 23612, 569, 267, 519, 15521, 540, 12411, 320, 14792, 13684, 7372, 2112, 1065, 25730, 593, 5125, 267, 3056, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 3848, 476, 277, 281, 8836, 4860, 1388, 1436, 543, 5678, 27264, 910, 4045, 532, 609, 3776, 12815, 547, 12706, 513, 16200, 8892, 692, 5331, 952, 596, 941, 1152, 4847, 547, 3717, 835, 1893, 585, 519, 1964, 540, 707, 1272, 269, 1548, 952, 602, 1893, 7012, 1405, 707, 5065, 11469, 286, 1280, 1082, 6805, 2950, 1472, 519, 1158, 267, 713, 814, 1044, 513, 4641, 789, 4312, 5185, 1813, 547, 17091, 543, 14051, 269, 1306, 649, 4685, 883, 519, 3584, 540, 8836, 4860, 1388, 1436, 543, 5678, 27264, 267, 1577, 721, 2263, 1946, 8497, 4654, 543, 5389, 2339, 543, 875, 621, 13462, 721, 547, 938, 3885, 543, 3347, 1369, 6805, 2950, 780, 4089, 476, 272, 281, 4208, 9177, 543, 5678, 17460, 692, 290, 11857, 568, 899, 513, 14951, 9221, 4904, 609, 2984, 267, 4978, 267, 2418, 267, 9821, 267, 543, 1148, 3838, 1851, 2516, 540, 1004, 2429, 1686, 269, 898, 5546, 945, 649, 616, 543, 1141, 649, 2097, 689, 269, 10251, 267, 936, 942, 267, 930, 4529, 666, 28201, 2476, 1317, 741, 2189, 4654, 14897, 269, 1879, 513, 1893, 8709, 8460, 267, 865, 1281, 922, 3982, 1259, 540, 7487, 519, 1158, 267, 1620, 3347, 267, 543, 11589, 4664, 269, 901, 2530, 4617, 839, 519, 7554, 1063, 1920, 2818, 267, 2146, 13218, 267, 543, 1256, 513, 1268, 781, 2631, 540, 3961, 780, 23458, 568, 811, 982, 1175, 1913, 282, 621, 11438, 519, 26470, 540, 513, 2528, 269, 5994, 1373, 8572, 547, 2307, 707, 22594, 827, 741, 6689, 8823, 610, 2206, 2757, 8964, 5293, 1524, 998, 5481, 269, 700, 3151, 513, 1893, 1797, 9561, 9048, 2897, 762, 4773, 540, 6561, 543, 7326, 269, 2334, 781, 1946, 2686, 26016, 1436, 543, 1893, 11091, 3646, 616, 2629, 585, 6805, 2950, 5001, 780, 4089, 476, 273, 281, 12267, 3245, 7087, 18877, 692, 25603, 519, 27707, 8615, 262, 520, 13780, 267, 513, 7524, 6805, 2146, 2713, 2059, 3703, 12052, 781, 7414, 5032, 538, 4516, 269, 4256, 3638, 2528, 25856, 1472, 2463, 585, 519, 2244, 267, 4262, 267, 543, 2011, 267, 799, 1683, 873, 32351, 543, 4001, 3407, 4245, 269, 1717, 267, 607, 7864, 1453, 4121, 741, 18577, 1893, 267, 519, 1297, 540, 31402, 3911, 262, 531, 4445, 1314, 10529, 546, 13388, 1194, 269, 1677, 2232, 713, 6161, 267, 519, 27707, 8615, 262, 520, 7233, 5741, 3459, 1107, 513, 5698, 1063, 22242, 267, 3610, 267, 543, 1053, 6322, 693, 556, 6618, 532, 6107, 609, 741, 5072, 998, 3946, 6823, 2238, 10704, 1472, 2030, 8446, 543, 6165, 269, 1635, 3257, 865, 267, 7820, 5481, 2968, 6273, 547, 8190, 3911, 262, 531, 4445, 1314, 1247, 14304, 22686, 543, 18497, 7554, 780, 5194, 1383, 2501, 689, 16127, 267, 1141, 519, 22963, 1893, 729, 2899, 5176, 17255, 269, 3414, 13447, 539, 3646, 676, 7855, 267, 8059, 1235, 267, 543, 6131, 2146, 2818, 267, 22963, 568, 1631, 9275, 676, 5215, 540, 7264, 267, 4180, 602, 3504, 669, 1218, 267, 4779, 262, 1961, 5979, 630, 560, 1559, 1070, 543, 803, 548, 630, 338, 29330, 264, 786, 22036, 269, 1452, 18454, 6542, 519, 1379, 540, 9322, 543, 16177, 538, 17420, 2686, 23543, 780, 4089, 476, 274, 281, 1215, 2052, 1411, 6435, 2496, 2026, 2104, 3401, 267, 596, 1932, 1404, 513, 4105, 1909, 538, 14120, 4763, 543, 5807, 13784, 269, 3371, 616, 2081, 547, 1489, 2686, 26016, 1436, 543, 1893, 11091, 1384, 272, 269, 6258, 281, 3447, 622, 3054, 827, 6805, 4529, 267, 12583, 267, 543, 4654, 538, 707, 1858, 610, 3564, 269, 23905, 267, 15882, 267, 32026, 267, 543, 2228, 2200, 616, 5140, 4358, 2798, 563, 273, 269, 19415, 281, 18918, 609, 22242, 267, 1650, 339, 25527, 267, 5159, 267, 543, 2146, 2818, 945, 4163, 2757, 1702, 269, 9105, 2055, 267, 1397, 1719, 267, 543, 2671, 1018, 596, 4312, 4121, 609, 1866, 563, 274, 269, 5917, 11229, 281, 28423, 909, 1996, 11475, 543, 20887, 4478, 6805, 4529, 543, 4654, 269, 11559, 3506, 547, 6451, 3309, 5380, 538, 19593, 592, 4548, 563, 275, 269, 12160, 622, 281, 15012, 2621, 971, 607, 1893, 5049, 267, 11925, 267, 610, 18428, 18799, 676, 6805, 2950, 269, 21727, 2685, 4497, 538, 9821, 543, 2853, 602, 8956, 891, 4529, 563, 276, 269, 8081, 281, 5213, 622, 942, 267, 1983, 267, 610, 2200, 547, 3906, 2324, 2509, 2686, 26016, 1436, 543, 1893, 11091, 7341, 780, 3528, 8508, 938, 3604, 543, 14637, 513, 4514, 7071, 585, 1585, 4529, 543, 4654, 267, 649, 1711, 6793, 4296, 1369, 3885, 543, 2950, 269, 8625, 267, 649, 1628, 13123, 2066, 6082, 543, 2327, 602, 1169, 5639, 267, 2250, 543, 1459, 267, 5170, 547, 16079, 998, 552, 1181, 640, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 791, 28127, 585, 519, 27707, 8615, 685, 520, 7233, 5741, 729, 585, 1053, 547, 1118, 4296, 609, 741, 661, 671, 619, 267, 998, 1153, 2257, 6437, 267, 538, 1931, 547, 1451, 827, 741, 2528, 267, 2244, 267, 543, 1893, 267, 799, 616, 782, 538, 2169, 878, 2406, 5532, 269, 7087, 11310, 630, 31082, 264, 568, 6444, 607, 606, 1271, 1826, 540, 12725, 1759, 1702, 4371, 676, 7087, 543, 824, 1279, 9113, 1211, 9082, 630, 29155, 7719, 267, 476, 1001, 273, 282, 10965, 1947, 1299, 595, 832, 580, 20377, 267, 476, 1220, 272, 282, 25306, 267, 22695, 864, 1299, 22695, 864, 267, 476, 1220, 271, 1040, 3689, 8315, 9082, 723, 1185, 267, 543, 3136, 547, 723, 267, 606, 15982, 2078, 609, 741, 4630, 601, 1343, 267, 1759, 593, 1702, 602, 568, 3810, 22297, 267, 19469, 998, 1082, 5481, 543, 13998, 20218, 630, 298, 1177, 698, 2917, 1696, 620, 1421, 476, 1960, 279, 1040, 8616, 267, 661, 671, 619, 543, 7855, 538, 3689, 8315, 2950, 723, 6829, 2620, 4145, 602, 6107, 616, 1100, 3476, 1565, 519, 2686, 543, 2199, 2825, 1702, 602, 13455, 873, 543, 741, 11937, 585, 5481, 630, 305, 269, 2372, 1442, 267, 570, 1695, 2741, 534, 26744, 267, 2123, 2792, 267, 476, 1960, 278, 282, 681, 269, 667, 12447, 267, 570, 1695, 2741, 534, 26744, 267, 2123, 2792, 267, 476, 1960, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 4860, 1388, 1436, 543, 5678, 27264, 257, 607, 851, 540, 834, 293, 4456, 6579, 312, 1299, 23781, 9569, 17239, 296, 4916, 1315, 7087, 19198, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 4197, 5403, 24645, 1143, 543, 15875, 1143, 998, 28064, 5020, 692, 5331, 596, 616, 4730, 707, 5172, 3381, 3014, 267, 855, 2576, 3116, 2813, 519, 3652, 543, 4991, 547, 6430, 945, 17993, 543, 19380, 269, 2334, 1268, 1522, 2661, 2484, 2476, 543, 3085, 1405, 2731, 1174, 875, 1454, 1187, 630, 528, 17140, 264, 1346, 3652, 3142, 596, 256, 901, 3510, 949, 3100, 15490, 267, 1318, 286, 23985, 2147, 5949, 1082, 2053, 2429, 1686, 950, 3532, 2477, 3576, 1852, 936, 4130, 610, 1447, 3532, 3283, 269, 1358, 4957, 4031, 267, 4529, 267, 4654, 267, 543, 11615, 2687, 547, 1018, 789, 2219, 729, 1655, 269, 901, 7613, 568, 1572, 22030, 780, 4131, 781, 4685, 4514, 883, 1620, 891, 2462, 2035, 676, 3168, 693, 1945, 6251, 547, 1753, 910, 899, 513, 9036, 256, 6056, 827, 513, 13962, 5832, 971, 607, 29106, 12567, 269, 1284, 666, 5635, 519, 2078, 1063, 1114, 2516, 1369, 519, 13962, 547, 2022, 24645, 1143, 543, 22030, 780, 1103, 713, 9183, 1384, 265, 634, 5561, 616, 899, 519, 3935, 9088, 610, 3532, 2477, 1317, 789, 2972, 519, 2533, 3177, 676, 519, 13962, 1247, 2348, 2370, 9525, 538, 922, 3232, 4238, 563, 265, 634, 2359, 2319, 4564, 519, 15194, 1362, 610, 31794, 945, 2196, 1919, 3297, 519, 10207, 1759, 593, 741, 1378, 4690, 267, 1175, 899, 7810, 16984, 1705, 1282, 11440, 4341, 563, 265, 7053, 267, 519, 5520, 1106, 519, 5354, 1895, 4171, 4074, 5932, 1871, 267, 13380, 547, 6805, 9082, 896, 7810, 28735, 780, 3086, 1589, 827, 3220, 269, 8055, 267, 519, 4387, 689, 519, 1357, 1349, 269, 2701, 16137, 827, 14100, 1143, 267, 799, 11363, 11832, 16882, 1996, 7518, 5511, 1870, 2853, 269, 27837, 676, 1200, 2833, 538, 513, 9769, 267, 1141, 3782, 4648, 2097, 1927, 547, 2149, 1142, 824, 781, 2924, 267, 1352, 7512, 1866, 547, 10891, 1932, 269, 1635, 3257, 865, 267, 1352, 24151, 835, 4295, 2856, 540, 2022, 24645, 3069, 281, 5706, 532, 8789, 4229, 543, 29379, 532, 1379, 998, 7104, 2962, 780, 3719, 1946, 798, 1004, 3006, 5706, 11836, 18787, 286, 4270, 267, 972, 666, 581, 1585, 4128, 269, 2368, 13915, 8044, 602, 18787, 1831, 17531, 29386, 543, 1582, 1606, 6326, 267, 30534, 741, 3312, 3483, 269, 11524, 3494, 602, 18787, 588, 604, 548, 5647, 2094, 14461, 3889, 1810, 1405, 3082, 3533, 2614, 547, 1689, 269, 1452, 2152, 13469, 609, 5717, 1472, 13313, 538, 2797, 1949, 3964, 1310, 28160, 1436, 269, 6884, 267, 9241, 4830, 6082, 17388, 547, 1628, 4023, 5238, 1813, 547, 29886, 7506, 689, 5449, 17710, 780, 4913, 267, 5103, 1761, 25354, 267, 18787, 1404, 513, 2629, 1909, 538, 7863, 4600, 262, 2924, 267, 4180, 12581, 2126, 267, 543, 14957, 585, 1732, 13848, 543, 2175, 269, 6684, 267, 2022, 24645, 3332, 1419, 8711, 2984, 540, 4187, 267, 6668, 267, 543, 7004, 267, 14120, 2686, 4763, 543, 26477, 7190, 4535, 856, 540, 1950, 12583, 780, 2026, 1762, 3988, 267, 2015, 10452, 2390, 8320, 540, 8635, 538, 707, 1272, 269, 1215, 1131, 596, 4431, 952, 5185, 609, 3871, 8506, 7104, 4187, 286, 5457, 267, 6568, 267, 17604, 267, 543, 5876, 4492, 2318, 1689, 269, 3414, 2565, 2542, 543, 3206, 267, 596, 1932, 666, 3565, 547, 2679, 811, 8537, 2950, 543, 7239, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3086, 602, 594, 723, 4121, 827, 14100, 1143, 267, 513, 6138, 602, 4025, 519, 4600, 1107, 519, 605, 2280, 30353, 1107, 607, 519, 1034, 1271, 851, 540, 1022, 4346, 267, 543, 711, 519, 2754, 5411, 543, 741, 9946, 1107, 519, 536, 28123, 12251, 773, 1107, 594, 993, 6273, 547, 6125, 609, 4948, 1004, 563, 7069, 1995, 538, 513, 9769, 607, 513, 4387, 814, 1044, 3833, 606, 3750 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9596, 547, 4032, 2060, 901, 630, 15575, 519, 27014, 264, 5131, 15026, 4569, 8018, 7435, 719, 1280, 8866, 454, 26670, 766, 707, 3214, 10203, 543, 6310, 1983, 609, 713, 4032, 519, 27014, 8018, 269, 6657, 2306, 3501, 269, 8281, 621, 1631, 563, 258, 14358, 281, 476, 10082, 272, 1923, 1948, 20042, 281, 476, 9032, 1923, 1948, 2398, 6493, 281, 476, 10204, 454, 12812, 585, 24614, 9669, 454, 3528, 281, 808, 10154, 15026, 454, 2791, 666, 21160, 621, 543, 1689, 519, 2592, 269, 1284, 849, 2709, 1082, 1114, 8866, 6096, 593, 938, 3135, 689, 18827, 547, 16974, 9664, 543, 865, 1082, 811, 269, 16731, 721, 856, 1631, 543, 1205, 547, 8228, 2336, 15575, 519, 27014, 4569, 8018, 454, 2080, 596, 786, 1265, 513, 1804, 5542, 540, 1863, 7792, 10203, 3211, 269, 9752, 1762, 1453, 547, 1293, 568, 606, 1271, 851, 540, 1169, 2069, 563, 4322, 3211, 616, 2966, 547, 4001, 2979, 547, 1762, 1453, 538, 9656, 610, 1101, 543, 2034, 9344, 563, 8253, 1152, 1281, 621, 4001, 707, 1126, 547, 5431, 2338, 267, 621, 786, 4001, 873, 875, 547, 1293, 3615, 543, 1451, 2979, 811, 3927, 269, 5620, 707, 1053, 2638, 519, 2338, 585, 519, 2953, 2626, 269, 5192, 873, 547, 4032, 519, 3615, 543, 3442, 519, 2323, 322, 551, 1297, 689, 519, 1592, 563, 7476, 938, 1565, 547, 1293, 4976, 30453, 1631, 543, 3274, 3442, 707, 10959, 543, 1820, 621, 1863, 2336, 5415, 3245, 901, 21145, 0, 289, 1678, 9314, 26162, 281, 24434, 616, 1851, 519, 1034, 1031, 2200, 602, 1683, 2883, 1489, 547, 2043, 543, 5238, 269, 9314, 666, 581, 3989, 607, 519, 7443, 519, 4871, 814, 1500, 538, 2132, 585, 891, 1489, 543, 2883, 3255, 563, 289, 1678, 9314, 26162, 454, 1607, 7443, 267, 602, 568, 267, 519, 1719, 2557, 949, 8428, 585, 1142, 4871, 543, 585, 1169, 9744, 3177, 676, 519, 4871, 269, 898, 666, 849, 581, 11117, 607, 519, 2179, 2016, 538, 3210, 547, 519, 946, 540, 2724, 4607, 689, 519, 4871, 269, 898, 568, 2009, 585, 713, 1719, 2557, 547, 4268, 4470, 593, 519, 9872, 610, 4871, 269, 634, 1699, 1533, 540, 519, 4346, 543, 519, 3664, 3144, 676, 519, 3844, 4871, 2047, 1860, 519, 8990, 540, 891, 1719, 3928, 563, 763, 8569, 540, 519, 10211, 602, 519, 4871, 3947, 547, 519, 1268, 676, 4946, 513, 1978, 2179, 547, 519, 9030, 568, 6394, 607, 519, 1719, 13927, 269, 18766, 689, 519, 1292, 2724, 2016, 547, 519, 7606, 269, 634, 2179, 5462, 607, 519, 1719, 2557, 568, 11117, 936, 519, 6871, 2557, 269, 2473, 2600, 540, 519, 9030, 568, 2808, 607, 1719, 2557, 563, 19950, 15580, 543, 9537, 454, 763, 1719, 2557, 666, 581, 3989, 607, 519, 1871, 585, 2724, 946, 540, 519, 1871, 540, 513, 6871, 540, 519, 9030, 269, 1703, 616, 849, 1079, 2010, 540, 1719, 3928, 269, 634, 1101, 568, 1572, 519, 22194, 1719, 2557, 267, 1247, 519, 2034, 568, 1572, 519, 1483, 1719, 2557, 269, 11870, 1400, 1719, 2557, 568, 519, 2012, 2016, 547, 519, 1719, 3928, 1031, 543, 9307, 676, 8492, 543, 2147, 5238, 269, 2311, 519, 1482, 942, 267, 1719, 3928, 5462, 1759, 593, 10637, 543, 2804, 1239, 616, 1572, 1483, 1719, 3928, 563, 4322, 1719, 3928, 616, 3622, 11117, 12422, 269, 1717, 267, 2687, 547, 519, 3375, 540, 519, 4871, 610, 9872, 267, 972, 949, 849, 581, 606, 1719, 2557, 5462, 585, 513, 1978, 1974, 540, 519, 1032, 269, 634, 2557, 9307, 607, 519, 476, 277, 18881, 610, 476, 280, 18881, 1719, 2557, 568, 4570, 585, 519, 1974, 9138, 689, 519, 4266, 540, 23318, 269, 1717, 267, 952, 519, 4871, 610, 561, 2658, 9872, 1152, 6920, 519, 1719, 2557, 538, 1818, 1022, 7778, 267, 519, 9138, 2557, 568, 4570, 585, 835, 1032, 563, 1432, 616, 519, 18880, 18748, 532, 9314, 26162, 888, 19950, 3928, 949, 4268, 689, 4871, 547, 4871, 269, 901, 3510, 949, 4268, 4470, 593, 519, 3255, 3177, 676, 519, 4871, 269, 7201, 891, 2175, 267, 519, 1268, 543, 7606, 945, 786, 1491, 856, 12029, 4782, 519, 4871, 602, 3091, 1970, 543, 5078, 1719, 2557, 269, 1717, 267, 4470, 593, 519, 1826, 540, 10211, 267, 2687, 547, 519, 2883, 3510, 540, 519, 10211, 3593, 269, 4340, 547, 519, 8569, 1544, 543, 519, 2175, 540, 519, 4871, 610, 9872, 602, 9783, 519, 10211, 267, 891, 1719, 3928, 949, 849, 1689, 563, 2005, 568, 519, 1072, 5006, 1505, 547, 6218, 971, 2242, 1927, 543, 547, 6430, 593, 519, 9872, 547, 581, 3144, 5491, 269, 2755, 621, 568, 17149, 547, 4782, 513, 4871, 609, 513, 1360, 1970, 1719, 2557, 267, 621, 1058, 711, 581, 15763, 602, 519, 3255, 6035, 1996, 519, 1719, 2557, 949, 1689, 269, 10435, 606, 4977, 4879, 1759, 593, 519, 1826, 540, 10211, 547, 581, 3144, 543, 519, 2783, 540, 519, 1268, 269, 25547, 1516, 519, 10211, 786, 2333, 519, 1268, 779, 7443, 2557, 563, 4263, 519, 1482, 942, 267, 1142, 2197, 814, 606, 1719, 2557, 1305, 676, 519, 3844, 4871, 269, 24434, 3112, 9765, 610, 9765, 713, 1719, 2557, 269, 2755, 8159, 519, 1719, 2557, 267, 519, 3844, 4871, 2306, 606, 6268, 1759, 593, 519, 2197, 779, 4346, 543, 10637, 2557, 269, 4014, 519, 1719, 2557, 1500, 538, 713, 4287, 568, 2635, 543, 10853, 269, 2037, 1963, 782, 5238, 543, 8492, 5356, 12029, 547, 6430, 693, 513, 1978, 2557, 538, 1719, 3928, 563, 289, 1678, 9314, 26162, 0, 293, 2426, 2225, 568, 513, 5551, 2460, 540, 1022, 9304, 602, 6663, 547, 581, 513, 4558, 540, 1871, 267, 5420, 540, 5385, 267, 610, 1770, 540, 2272, 269, 769, 19116, 267, 9033, 2225, 568, 1271, 547, 4509, 26117, 540, 519, 9304, 779, 20049, 1464, 1063, 4559, 563, 25748, 267, 513, 1007, 1826, 540, 18351, 1634, 607, 1875, 1922, 2426, 1043, 21797, 630, 301, 10499, 338, 264, 723, 2097, 547, 519, 21282, 607, 606, 1271, 543, 2189, 10697, 602, 814, 930, 4277, 3156, 563, 1432, 22549, 3657, 32454, 888, 2304, 23088, 568, 9247, 513, 2189, 6041, 540, 606, 10697, 610, 1434, 538, 519, 1106, 540, 513, 5691, 18351, 269, 3414, 25563, 267, 789, 948, 547, 2357, 604, 22239, 6961, 9562, 543, 13597, 540, 606, 10697, 269, 1280, 1383, 267, 513, 5691, 4062, 540, 1148, 1141, 519, 11247, 568, 18351, 1242, 543, 9562, 540, 519, 18351, 2047, 10452, 9562, 540, 519, 4062, 540, 1148, 267, 1799, 583, 2406, 6740, 593, 519, 9893, 563, 301, 10499, 338, 616, 2189, 543, 3112, 581, 8719, 676, 1776, 6221, 269, 634, 6286, 540, 713, 538, 513, 7856, 5420, 1510, 21438, 6392, 616, 2647, 8151, 543, 786, 5512, 513, 2104, 1362, 540, 3059, 7221, 267, 689, 27847, 1242, 9562, 547, 2507, 0, 1607, 568, 513, 14167, 1576, 269, 1677, 2070, 543, 3651, 14167, 1576, 267, 596, 1590, 22010, 707, 2272, 454, 288, 4147, 568, 513, 2688, 1239, 1826, 269, 26643, 666, 2099, 811, 1950, 1239, 982, 9981, 610, 12673, 563, 12218, 525, 267, 538, 1840, 547, 8066, 1896, 3601, 267, 666, 849, 2270, 2409, 454, 288, 4357, 1505, 568, 835, 799, 666, 1152, 581, 1031, 1369, 519, 4147, 1141, 621, 568, 3989, 454, 288, 1857, 1505, 568, 835, 602, 568, 2139, 547, 3157, 3544, 540, 519, 4147, 3294, 454, 7476, 614, 2409, 616, 1857, 2409, 602, 1450, 3755, 547, 1224, 519, 1871, 540, 4357, 1362, 2818, 1510, 5356, 873, 519, 2702, 547, 7670, 1679, 891, 2418, 454, 13729, 1562, 616, 1857, 1569, 2409, 602, 1450, 3755, 547, 2328, 547, 4357, 3959, 4610, 269, 1452, 949, 2097, 609, 20038, 547, 2061, 3755, 689, 1603, 23380, 1239, 454, 300, 583, 2209, 616, 2409, 602, 1689, 519, 1871, 540, 519, 1843, 789, 616, 1572, 593, 454, 2690, 519, 1985, 1906, 4245, 267, 649, 786, 581, 1818, 513, 1950, 1297, 1362, 547, 9414, 519, 2035, 649, 4312, 4121, 454, 29002, 12980, 26398, 547, 938, 595, 11133, 1362, 454, 288, 5299, 4020, 528, 2636, 596, 547, 26134, 606, 1843, 676, 8429, 621, 883, 519, 4020, 528, 540, 519, 1482, 1362, 269, 769, 713, 3992, 649, 786, 1780, 513, 595, 11133, 547, 513, 1007, 595, 11133, 538, 1931, 547, 1118, 513, 26134, 540, 519, 3312, 563, 1805, 1738, 4147, 2409, 1577, 721, 1289, 2409, 2047, 593, 519, 4147, 267, 2864, 982, 593, 513, 1808, 8629, 540, 519, 4147, 0, 18154, 13585, 264, 2443, 3427, 1949, 1472, 519, 1158, 616, 21679, 609, 1018, 547, 827, 1053, 563, 6546, 779, 14356, 1317, 972, 779, 513, 3395, 7521, 936, 519, 2557, 693, 799, 1453, 666, 10141, 519, 11452, 547, 1142, 824, 543, 547, 4079, 563, 288, 1353, 689, 12670, 779, 4077, 924, 11233, 1336, 602, 1453, 949, 581, 1175, 607, 11763, 607, 4079, 563, 3719, 1896, 824, 2090, 723, 1336, 602, 1453, 798, 711, 2408, 547, 1404, 513, 2462, 1909, 538, 10825, 519, 3644, 563, 1103, 835, 1353, 538, 25611, 267, 3173, 1336, 602, 540, 476, 4375, 3214, 7783, 609, 519, 3644, 267, 538, 1152, 1614, 2665, 729, 1776, 1126, 519, 1101, 16143, 2013, 563, 288, 1353, 538, 3624, 602, 4553, 476, 6924, 1453, 609, 519, 3644, 267, 1336, 602, 476, 4792, 2693, 3893, 621, 689, 4079, 563, 1103, 1776, 1353, 538, 5333, 267, 513, 7911, 6534, 811, 982, 476, 3199, 1153, 10863, 563, 8253, 835, 26438, 519, 3644, 563, 5415, 689, 3733, 11947, 5522, 1622, 2593, 912, 268, 28626, 24273, 21048, 559, 11556, 585, 5763, 3454, 593, 2048, 738, 571, 2173, 11669, 320, 2231, 20371, 268, 1269, 1428, 5934, 13230, 782, 855, 4666, 538, 2462, 5046, 8323, 3915, 454, 268, 2782, 1067, 4365, 547, 1376, 4728, 454, 268, 17857, 1876, 16234, 7903, 585, 811, 23388, 585, 5075, 9584, 538, 918, 268, 1321, 3506, 454, 268, 7147, 3158, 779, 29040, 6643, 609, 7141, 5067, 2337, 7128, 5279, 1864, 538, 4630, 8336, 0, 288, 1007, 1867, 689, 7147, 589, 261, 300, 2160, 3173, 267, 3370, 538, 519, 7147, 4826, 4750, 267, 814, 1336, 602, 3246, 12418, 609, 834, 531, 1181, 894, 1055, 3613, 3195, 14450, 6703, 257, 1223, 6961, 5363, 538, 4227, 12526, 540, 2627, 7297, 269, 700, 12083, 616, 513, 1713, 2707, 540, 519, 32740, 4551, 602, 13822, 519, 3056, 2014, 540, 1216, 12526, 538, 519, 1533, 563, 29394, 781, 4063, 281, 901, 2022, 814, 1044, 22621, 547, 1397, 602, 519, 1353, 18808, 609, 1382, 593, 4244, 1055, 3613, 3195, 1216, 267, 711, 2436, 12418, 13572, 1216, 563, 307, 1410, 553, 17650, 2317, 22881, 610, 2818, 949, 581, 20926, 610, 5018, 538, 938, 2984, 267, 610, 949, 581, 519, 1641, 540, 873, 269, 1280, 513, 2347, 1592, 540, 20334, 267, 4945, 1934, 269, 0, 24687, 689, 547, 17058, 5049, 616, 23345, 2630, 454, 2171, 3323, 519, 1554, 6236, 875, 547, 17250, 930, 1455, 3252, 971, 607, 13392, 267, 12945, 267, 12825, 267, 25066, 543, 2845, 3252, 563, 2171, 1287, 2808, 13392, 3252, 281, 3435, 267, 2188, 267, 3113, 267, 2347, 4009, 1106, 269, 1284, 5129, 513, 12805, 3014, 3769, 538, 519, 3758, 2630, 563, 288, 9577, 568, 513, 6310, 4341, 602, 3651, 338, 1152, 835, 3977, 547, 1142, 3403, 563, 4467, 22683, 3252, 616, 3252, 540, 3252, 563, 293, 17313, 949, 581, 7630, 633, 267, 1147, 11187, 267, 1979, 11187, 610, 9039, 540, 891, 563, 763, 1576, 3340, 602, 1053, 666, 1265, 519, 11201, 1599, 269, 901, 568, 519, 8086, 540, 519, 1599, 538, 519, 1899, 1535, 284, 344, 563, 21581, 6029, 875, 547, 2328, 513, 13392, 1599, 538, 2347, 4009, 1106, 269, 0, 763, 2160, 540, 853, 12448, 338, 262, 25756, 24665, 1807, 568, 1373, 1031, 607, 851, 540, 519, 20023, 2506, 3827, 5721, 1788, 267, 799, 6663, 547, 1232, 12365, 1047, 519, 3003, 13677, 5721, 18239, 676, 476, 10711, 276, 563, 9928, 2714, 880, 3744, 616, 2324, 547, 1379, 513, 5721, 676, 1210, 7250, 4492, 2281, 676, 519, 1439, 540, 476, 1708, 272, 269, 5741, 687, 7447, 602, 513, 4628, 2324, 17431, 2203, 786, 581, 10512, 676, 5437, 267, 543, 26813, 693, 29161, 779, 30505, 2918, 269, 634, 1788, 568, 1373, 3366, 676, 1488, 3712, 320, 6052, 267, 543, 621, 568, 12479, 602, 519, 3003, 13677, 5721, 18239, 786, 581, 1232, 12365, 1242, 676, 476, 10711, 276, 563, 7804, 269, 5484, 25595, 267, 519, 16628, 540, 1488, 3712, 320, 6052, 267, 814, 1164, 13922, 585, 519, 1764, 540, 713, 1788, 269, 1261, 1767, 267, 968, 22134, 4088, 20086, 1379, 3091, 513, 2922, 267, 6325, 267, 543, 4642, 28003, 4244, 585, 10430, 779, 7841, 3060, 563, 10527, 7250, 5721, 1788, 568, 606, 5140, 4316, 585, 2872, 3401, 538, 7250, 267, 7841, 4702, 267, 543, 3106, 547, 12840, 609, 13677, 2029 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 272, 454, 337, 3287, 264, 815, 910, 11027, 274, 1107, 476, 274, 341, 273, 1107, 476, 274, 11027, 266, 272, 692, 341, 264, 533, 3287, 264, 815, 1535, 274, 1341, 476, 274, 343, 273, 1341, 476, 274, 343, 1341, 476, 272, 454, 326, 3287, 264, 815, 476, 276, 1341, 476, 273, 343, 454, 2252, 476, 276, 1341, 476, 273, 343, 815, 476, 271, 267, 1287, 476, 273, 343, 815, 910, 276, 454, 343, 815, 1107, 6695, 2765, 346, 276, 2410, 273, 28021, 335, 3287, 264, 815, 1535, 274, 1341, 476, 274, 343, 273, 1341, 476, 274, 343, 1341, 476, 272, 692, 2304, 2228, 14230, 11532, 9498, 2636, 596, 547, 3313, 519, 14230, 540, 2016, 9971, 7215, 676, 14230, 11532, 780, 9223, 476, 273, 563, 8340, 519, 14230, 950, 1535, 274, 1107, 4949, 273, 1341, 476, 277, 343, 1107, 513, 568, 5258, 676, 1535, 1107, 513, 563, 335, 3287, 264, 815, 1535, 274, 1107, 4949, 273, 1341, 476, 277, 343, 1107, 513, 454, 2252, 575, 3287, 264, 815, 1535, 1107, 513, 267, 1287, 678, 3287, 264, 815, 15017, 4131, 1535, 1107, 513, 815, 476, 271, 267, 1287, 1535, 815, 513, 454, 335, 3287, 264, 815, 1535, 274, 1107, 4949, 273, 1341, 476, 277, 343, 1107, 513, 454, 30043, 533, 5416, 264, 815, 630, 320, 264, 274, 1107, 513, 5416, 264, 273, 1341, 476, 277, 5416, 264, 1107, 513, 454, 284, 513, 274, 1107, 513, 274, 1341, 476, 277, 320, 1107, 513, 454, 30043, 533, 5416, 264, 815, 476, 276, 320, 454, 30043, 678, 3287, 264, 815, 533, 5416, 264, 815, 476, 276, 320, 780, 9223, 476, 274, 563, 13425, 2436, 476, 278, 1341, 476, 274, 343, 568, 513, 3815, 540, 476, 274, 343, 274, 1341, 476, 278, 343, 563, 343, 815, 1107, 6695, 2765, 346, 278, 2410, 274, 28021, 2080, 267, 678, 3287, 264, 815, 1107, 6695, 2765, 346, 276, 3445, 2410, 280, 6525, 269, 901, 568, 711, 3160, 547, 20023, 269, 9747, 476, 278, 1341, 476, 274, 343, 568, 711, 513, 3815, 540, 533, 3287, 1040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 20157, 4115, 540, 519, 5729, 13815, 538, 6284, 540, 1200, 23793, 2533, 693, 519, 2398, 3430, 7732, 267, 799, 3769, 606, 1310, 17469, 4099, 585, 22768, 12322, 5356, 6780, 6351, 543, 2852, 543, 4876, 13508, 269, 15917, 6577, 4607, 513, 645, 6993, 269, 689, 17619, 2160, 543, 606, 631, 6993, 269, 543, 1912, 6185, 269, 689, 519, 23958, 7732, 3427, 540, 519, 2160, 540, 9628, 269, 0, 268, 476, 1789, 5130, 267, 476, 1708, 275, 454, 268, 3143, 22227, 454, 1103, 513, 1158, 1141, 10562, 3457, 616, 4742, 519, 2343, 267, 519, 5769, 540, 12085, 1496, 31166, 316, 4249, 513, 11358, 1909, 538, 5935, 938, 6639, 5251, 269, 3245, 5100, 5321, 547, 4853, 1949, 267, 14164, 16900, 26779, 3457, 547, 3986, 4398, 1299, 13418, 269, 1717, 267, 609, 713, 2799, 14479, 2501, 513, 10296, 6161, 1107, 519, 991, 585, 7347, 3354, 538, 14164, 3457, 563, 2026, 649, 9784, 519, 5736, 540, 5100, 3388, 267, 1620, 519, 4644, 540, 14164, 3587, 14063, 269, 898, 779, 711, 1175, 827, 5100, 27687, 1846, 14577, 938, 1753, 5210, 610, 8516, 3950, 619, 5464, 938, 3268, 269, 14164, 568, 519, 22449, 540, 2413, 1949, 267, 4838, 2358, 6080, 267, 3782, 1299, 3232, 1272, 269, 901, 10562, 1357, 814, 519, 1761, 547, 20928, 3157, 1299, 21592, 938, 2298, 540, 2713, 563, 21953, 267, 519, 1360, 25872, 602, 2306, 14164, 3532, 849, 27875, 621, 547, 3354, 4220, 269, 634, 811, 3457, 5968, 267, 519, 3152, 519, 13438, 547, 6880, 6937, 269, 901, 5036, 519, 3942, 585, 519, 2565, 991, 547, 6830, 1518, 14164, 3457, 1996, 1761, 3354, 23563, 269, 634, 4161, 6013, 538, 11495, 513, 3666, 1063, 519, 2640, 540, 513, 4448, 1158, 1299, 519, 16122, 547, 16102, 938, 3457, 1299, 1239, 563, 27735, 540, 14164, 27620, 8232, 454, 1103, 519, 7706, 540, 14164, 267, 1141, 3457, 16900, 5968, 267, 519, 2956, 540, 7347, 3354, 3112, 581, 936, 26061, 269, 2913, 779, 2263, 519, 2565, 3344, 602, 5031, 1946, 17516, 14164, 3457, 568, 711, 1175, 513, 13390, 1081, 855, 513, 13766, 563, 305, 529, 802, 1299, 31664, 540, 8232, 6601, 2851, 454, 268, 22452, 547, 15536, 21784, 338, 281, 1306, 3457, 32144, 267, 789, 1930, 18817, 585, 6880, 6937, 269, 3245, 796, 10461, 2213, 1569, 547, 1239, 12879, 267, 519, 8552, 540, 4220, 568, 5318, 269, 15536, 322, 3234, 10904, 15407, 16426, 267, 5732, 18731, 519, 8699, 540, 1239, 1299, 10342, 563, 268, 4578, 6601, 2851, 1299, 21041, 31700, 281, 8232, 23563, 1419, 1291, 547, 796, 10461, 2213, 1569, 1299, 1239, 20984, 269, 769, 606, 14164, 5251, 267, 1141, 2123, 1299, 6213, 1344, 568, 22121, 267, 519, 4539, 540, 513, 1239, 21556, 8831, 3564, 2883, 9271, 269, 21041, 4145, 1831, 14063, 267, 7133, 3593, 3972, 1299, 6015, 563, 268, 2598, 8306, 540, 7896, 281, 589, 19847, 14164, 3926, 3884, 1406, 1175, 513, 3463, 547, 1239, 282, 621, 666, 7519, 3003, 1949, 269, 6787, 621, 779, 513, 5100, 2749, 5989, 610, 606, 4853, 1184, 267, 3354, 23563, 666, 26699, 4238, 267, 4929, 2883, 9271, 1299, 538, 2565, 2665, 267, 30286, 4220, 547, 1857, 3106, 563, 11754, 7675, 23977, 1676, 3809, 538, 4045, 539, 7010, 454, 268, 1160, 5562, 8232, 21474, 281, 1677, 11574, 4220, 267, 513, 14942, 1935, 547, 3354, 568, 2629, 269, 901, 3322, 7114, 16426, 1354, 789, 666, 581, 23699, 269, 8617, 3354, 32116, 1299, 1981, 10526, 948, 538, 1620, 519, 9687, 3463, 5251, 563, 268, 24344, 5071, 1299, 4886, 281, 20074, 3354, 689, 519, 2666, 909, 568, 4105, 269, 24344, 8193, 2853, 1299, 15984, 547, 3354, 4441, 1282, 519, 1646, 5123, 666, 3648, 2569, 16426, 269, 901, 1935, 5849, 602, 3457, 616, 25167, 1996, 1761, 6937, 1318, 689, 741, 27299, 563, 268, 21664, 1299, 6176, 19457, 281, 769, 519, 6422, 5251, 540, 14590, 267, 5698, 568, 1883, 269, 19457, 1344, 827, 6932, 6937, 1299, 16426, 2337, 519, 14164, 2146, 3251, 6619, 540, 1761, 4220, 269, 898, 11942, 513, 7104, 4674, 547, 6830, 1518, 519, 10562, 5117, 563, 1103, 9759, 267, 2369, 2358, 519, 4220, 1299, 4539, 540, 3354, 23563, 538, 14164, 3457, 568, 519, 1101, 1900, 2509, 2870, 513, 5150, 1299, 14388, 10562, 1158, 269, 1635, 5466, 16426, 30082, 1299, 5807, 5698, 267, 649, 666, 6330, 519, 2591, 1299, 2327, 602, 519, 2640, 540, 14164, 3136, 547, 10802, 938, 2729, 1510, 18731, 938, 3354, 563, 7659, 21784, 338, 547, 14164, 27620, 8232, 454, 15650, 540, 15536, 21784, 338, 454, 1103, 519, 6946, 1357, 540, 4448, 3457, 267, 1620, 519, 1585, 6880, 6937, 568, 11358, 547, 6830, 4328, 14164, 3354, 269, 2913, 779, 2263, 519, 3309, 2039, 540, 4220, 602, 10460, 2591, 547, 519, 8699, 540, 14164, 8134, 563, 268, 9324, 658, 6361, 4149, 16291, 1496, 2710, 306, 316, 5900, 2931, 281, 15536, 31487, 8267, 332, 14164, 3457, 609, 6808, 267, 17021, 873, 24835, 762, 540, 8647, 269, 901, 7519, 338, 2533, 1299, 538, 2565, 3871, 267, 666, 1291, 547, 1062, 14286, 563, 268, 5689, 2264, 1299, 681, 22095, 2264, 281, 5689, 5534, 3301, 22467, 6233, 3457, 267, 18731, 741, 10342, 610, 17278, 532, 1239, 2394, 513, 26030, 568, 6976, 269, 901, 13514, 513, 12242, 3463, 267, 18363, 3926, 2773, 1299, 5732, 4929, 1239, 2530, 563, 268, 2494, 2987, 7308, 5336, 1497, 1496, 300, 527, 300, 316, 5900, 2931, 281, 769, 14600, 300, 6285, 267, 6880, 322, 3234, 10904, 18448, 1299, 7369, 2792, 1063, 3457, 267, 11543, 796, 10461, 2213, 1569, 547, 6213, 1239, 269, 901, 1826, 540, 4323, 568, 3226, 7282, 538, 10562, 1949, 563, 268, 661, 2314, 323, 549, 6137, 1299, 4578, 3955, 4003, 281, 1133, 5913, 3293, 2792, 9055, 1118, 14164, 3457, 11630, 547, 552, 2314, 323, 549, 6137, 269, 31105, 619, 666, 18448, 1299, 13861, 1239, 267, 30286, 3978, 7834, 1299, 3354, 4220, 563, 268, 27620, 1975, 334, 1993, 532, 1299, 6764, 3205, 566, 281, 1635, 13147, 10107, 519, 3961, 540, 16048, 3457, 267, 6880, 322, 3234, 10904, 666, 2744, 796, 10461, 2213, 1569, 269, 901, 10741, 519, 7450, 547, 1239, 12879, 267, 796, 10461, 2213, 1852, 1299, 1761, 1062, 14207, 563, 16032, 13756, 585, 27116, 1005, 14164, 20905, 454, 28319, 823, 24956, 1709, 1299, 11638, 29969, 24956, 1709, 1496, 300, 11902, 2639, 268, 16237, 28517, 27620, 14740, 281, 7605, 755, 3926, 17452, 5849, 602, 1152, 2278, 2213, 3457, 666, 1569, 519, 14164, 3060, 269, 901, 3322, 7598, 5150, 17452, 10873, 1299, 2853, 563, 268, 31514, 8232, 609, 11638, 29969, 24956, 1709, 1496, 300, 11902, 13912, 17006, 606, 3063, 4494, 540, 17452, 998, 3818, 29969, 2409, 267, 971, 607, 1979, 6248, 338, 610, 835, 6066, 18538, 267, 3648, 10240, 9094, 3926, 3354, 563, 21886, 11736, 16257, 338, 585, 4578, 8232, 454, 20376, 1005, 4578, 538, 3690, 527, 1299, 693, 10163, 281, 20074, 2178, 14238, 10873, 5849, 602, 1239, 22121, 1063, 3457, 1299, 6740, 593, 873, 3788, 14804, 269, 901, 28863, 1996, 796, 10461, 2213, 1569, 1299, 1239, 23563, 563, 19894, 12229, 5455, 30098, 1299, 674, 3305, 2264, 24727, 454, 5141, 3151, 23977, 1676, 3809, 3414, 5455, 30098, 281, 8617, 10311, 15429, 3354, 16426, 1299, 3986, 3926, 6043, 269, 26787, 2312, 6109, 2264, 4507, 5849, 602, 3457, 2611, 909, 3562, 15082, 609, 519, 5767, 3354, 15649, 563, 15187, 1740, 8232, 21474, 281, 9605, 31486, 1299, 2271, 337, 4288, 24544, 454, 20376, 1005, 9442, 932, 2335, 1564, 281, 9605, 31486, 957, 607, 513, 11064, 1996, 796, 10461, 2213, 1569, 267, 7863, 14164, 3457, 689, 5007, 6937, 269, 2271, 337, 4288, 7020, 1949, 8362, 6895, 3060, 2238, 267, 16326, 1299, 14775, 547, 1761, 3354, 23563, 563, 1103, 513, 5251, 678, 1057, 609, 6880, 6937, 267, 7598, 891, 1655, 2853, 3587, 16122, 585, 6830, 4328, 14164, 3457, 1996, 1761, 4220, 269, 1635, 9363, 21713, 1299, 12561, 513, 3818, 2000, 599, 1229, 3354, 1935, 267, 649, 666, 6330, 519, 9687, 3463, 5251, 1299, 2327, 519, 8699, 540, 10562, 1949, 563, 16498, 8232, 19047, 454, 27735, 540, 24344, 10434, 2264, 5071, 454, 1103, 519, 7706, 540, 14164, 267, 4180, 3354, 4422, 3564, 3059, 28863, 269, 634, 1360, 5748, 6013, 538, 519, 2168, 8699, 540, 519, 3457, 269, 2913, 779, 5490, 883, 1946, 5150, 8800, 1374, 568, 513, 13274, 577, 11017, 538, 17420, 4448, 1949, 563, 268, 16473, 532, 1133, 10461, 2213, 7457, 281, 24344, 8800, 1374, 20964, 7496, 547, 2168, 23984, 27128, 267, 555, 23702, 532, 8942, 547, 2744, 796, 10461, 2213, 1569, 269, 901, 568, 2629, 538, 5054, 1141, 519, 2168, 3354, 540, 3457, 568, 513, 3119, 6161, 563, 268, 27986, 18830, 681, 27654, 7177, 281, 589, 1134, 27059, 8800, 6189, 2306, 621, 4101, 585, 17351, 11051, 547, 9258, 11653, 519, 3926, 267, 4180, 602, 519, 4835, 25029, 2611, 513, 9856, 539, 5728, 563, 25363, 13586, 23111, 704, 17272, 1211, 17972, 454, 268, 23618, 532, 1299, 29594, 532, 547, 23111, 27128, 281, 23111, 704, 17272, 1211, 2934, 4196, 607, 513, 2699, 9206, 267, 1129, 16226, 1022, 3801, 547, 15936, 609, 519, 3926, 269, 901, 2636, 585, 16190, 7020, 1299, 3210, 267, 19086, 1761, 4220, 563, 268, 31514, 10055, 1464, 281, 1635, 6220, 2934, 602, 2594, 1299, 1867, 23984, 27128, 8942, 267, 14164, 3457, 666, 3180, 2043, 18177, 585, 796, 10461, 2213, 2168, 1569, 267, 2870, 513, 15658, 1370, 1996, 17351, 3527, 563, 7468, 643, 2329, 31700, 538, 14164, 454, 25911, 3496, 4578, 14635, 1299, 14871, 3117, 550, 454, 1103, 519, 10562, 1158, 540, 14164, 267, 1239, 10173, 10342, 267, 855, 11495, 513, 3666, 1063, 5647, 1299, 7834, 568, 14063, 269, 2913, 779, 2263, 875, 713, 10347, 11466, 666, 581, 9738, 563, 268, 7799, 1746, 4578, 14635, 547, 3026, 947, 885, 281, 14164, 3457, 1058, 2445, 1152, 519, 1239, 2556, 585, 741, 5497, 10342, 267, 6922, 2358, 519, 1981, 540, 16662, 30102, 4598, 1299, 1761, 21568, 563, 268, 26875, 2358, 14871, 3117, 550, 281, 3690, 10337, 568, 1883, 269, 20305, 1058, 581, 5483, 827, 1018, 1239, 568, 1373, 6394, 1299, 585, 1018, 3483, 269, 5136, 8877, 8763, 9844, 5849, 602, 3755, 723, 1852, 936, 741, 1239, 563, 28444, 1005, 3690, 8001, 21041, 24727, 454, 268, 13068, 9442, 540, 21041, 13756, 281, 14164, 9755, 1299, 3028, 7426, 1058, 2226, 12001, 7834, 4507, 267, 5693, 13994, 6819, 875, 3593, 1239, 568, 17411, 267, 6740, 1299, 6870, 563, 268, 25085, 532, 20305, 609, 6513, 281, 21278, 3755, 609, 2645, 547, 4383, 741, 7834, 5468, 16877, 873, 547, 1118, 5483, 3664, 827, 519, 1239, 789, 616, 6899, 4687, 267, 5807, 513, 2631, 540, 3972, 538, 14164, 8134, 563, 1103, 519, 19427, 540, 2168, 1299, 3059, 26441, 267, 17516, 8800, 1374, 1299, 5466, 7834, 4145, 1831, 7533, 3334, 269, 1635, 6830, 4328, 519, 2168, 8699, 540, 3457, 1299, 18245, 3593, 7834, 267, 649, 666, 2327, 602, 519, 9153, 540, 14164, 568, 1483, 2213, 1510, 18731, 3354, 610, 1102, 2590, 532, 593, 2123, 1239, 563, 26581, 787, 11621, 1299, 22769, 454, 1103, 519, 2479, 21608, 5251, 540, 14164, 267, 20170, 547, 3964, 3354, 4441, 568, 2629, 547, 2679, 513, 14388, 1299, 22973, 5117, 269, 2913, 779, 2263, 519, 1883, 4441, 602, 2482, 519, 5748, 585, 17516, 4448, 1949, 563, 268, 18869, 270, 296, 4488, 476, 17734, 4905, 281, 901, 3486, 3044, 6212, 593, 1344, 3354, 2359, 1949, 267, 3246, 513, 3102, 5943, 585, 5883, 3354, 4220, 269, 4706, 3498, 547, 14164, 5849, 513, 9836, 1935, 547, 17420, 1239, 563, 268, 715, 8780, 15536, 9798, 17563, 281, 31603, 676, 519, 2817, 4659, 540, 11621, 1299, 5303, 1496, 301, 8780, 3910, 713, 5943, 3091, 4808, 1299, 1655, 2853, 547, 3986, 14590, 6043, 269, 1520, 17518, 547, 715, 8780, 3741, 11226, 538, 2870, 513, 7347, 20237, 1996, 6880, 6937, 538, 14164, 5054, 563, 268, 14164, 8232, 7690, 1496, 296, 334, 4811, 293, 13912, 1306, 513, 1875, 17416, 13539, 267, 594, 334, 4811, 293, 6663, 547, 3715, 1299, 3895, 1655, 2853, 585, 17516, 14164, 269, 11374, 594, 334, 4811, 293, 4808, 5849, 513, 10319, 1299, 2872, 17253, 1935, 547, 5466, 519, 2189, 3354, 2591, 15054, 676, 10562, 3457, 563, 4467, 20869, 609, 22769, 1299, 12501, 5874, 454, 268, 4937, 4578, 10466, 19938, 1496, 294, 7894, 305, 13912, 28597, 609, 12654, 305, 568, 14063, 950, 7231, 609, 3593, 1239, 269, 23496, 602, 14164, 3457, 15666, 547, 12654, 305, 3741, 267, 971, 607, 1239, 6922, 1436, 1299, 3593, 9844, 267, 568, 1898, 547, 2057, 3656, 4539, 563, 268, 8549, 11485, 1299, 8191, 1436, 5004, 5358, 1496, 293, 539, 305, 21283, 13912, 3487, 21871, 4143, 585, 14164, 3457, 1031, 538, 2229, 8658, 267, 12658, 305, 21283, 5036, 4441, 585, 3354, 4879, 1299, 28431, 269, 19793, 1324, 12658, 305 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1704, 692, 20132, 19560, 476, 277, 1496, 271, 3910, 2016, 281, 476, 275, 692, 2162, 8058, 16193, 692, 3066, 3057, 476, 1001, 274, 267, 476, 1704, 281, 1321, 454, 289, 684, 3241, 5206, 912, 278, 269, 5590, 589, 5161, 540, 737, 3982, 2338, 269, 1403, 562, 2338, 616, 5697, 689, 519, 1305, 835, 8386, 14633, 267, 1141, 562, 27045, 330, 267, 1018, 568, 519, 5506, 602, 2338, 786, 581, 5697, 538, 26799, 1931, 2496, 263, 272, 264, 5590, 589, 5161, 540, 476, 1321, 1256, 15654, 9981, 3248, 263, 273, 264, 562, 284, 276, 780, 2171, 1058, 1174, 1739, 1079, 1919, 912, 272, 269, 634, 5506, 540, 8939, 1022, 562, 2338, 689, 519, 1305, 568, 519, 1482, 269, 4208, 1058, 1022, 15410, 540, 562, 2338, 723, 2362, 610, 2539, 5506, 540, 1373, 5697, 982, 930, 824, 15410, 540, 562, 2338, 286, 17438, 3085, 1405, 3870, 1022, 1880, 15410, 780, 273, 269, 3767, 267, 2015, 602, 519, 15410, 5697, 568, 6695, 346, 343, 318, 272, 267, 1422, 1535, 318, 273, 267, 1422, 10371, 1421, 1422, 1535, 5332, 315, 6525, 267, 1141, 3230, 343, 318, 272, 283, 343, 318, 273, 283, 1862, 283, 343, 5332, 21974, 1284, 666, 2824, 713, 15410, 540, 2338, 538, 3230, 333, 256, 2330, 1948, 540, 2081, 543, 856, 540, 891, 562, 256, 2081, 1152, 835, 267, 12077, 6695, 346, 343, 318, 272, 267, 1422, 1535, 318, 273, 267, 1422, 10371, 1421, 1422, 1535, 5332, 315, 6525, 786, 581, 538, 26799, 1931, 269, 1924, 476, 272, 856, 540, 562, 256, 269, 3230, 303, 7807, 2765, 346, 272, 2410, 333, 256, 6525, 780, 17798, 267, 2687, 547, 519, 1657, 519, 1152, 3364, 649, 991, 547, 917, 547, 2626, 519, 2243, 568, 519, 2450, 540, 519, 15410, 630, 333, 264, 649, 616, 8939, 689, 1305, 589, 780, 26980, 782, 10484, 514, 713, 2630, 2147, 2243, 1384, 288, 11176, 2319, 814, 476, 4200, 5716, 269, 3962, 6345, 814, 513, 7833, 1297, 689, 476, 272, 547, 476, 4200, 543, 1100, 1079, 5716, 2671, 519, 1482, 1297, 269, 1879, 11176, 2259, 7475, 267, 782, 519, 5716, 2196, 1055, 519, 2361, 835, 8386, 14633, 538, 513, 4625, 4351, 6073, 269, 1548, 568, 519, 5506, 602, 519, 1101, 2185, 5716, 1055, 519, 2361, 786, 4734, 538, 1931, 540, 2810, 7833, 2338, 630, 324, 3052, 1421, 1948, 273, 267, 1287, 1948, 277, 267, 1287, 1948, 6858, 267, 1287, 1948, 7761, 267, 31756, 264, 26042, 10490, 264, 476, 272, 270, 5038, 454, 16360, 264, 476, 272, 270, 4366, 454, 18154, 264, 476, 272, 270, 3607, 454, 20573, 264, 476, 272, 270, 2190, 454, 27887, 264, 476, 272, 270, 1626, 692, 5591, 269, 540, 2081, 538, 799, 476, 275, 1004, 666, 4734, 519, 2361, 1775, 4318, 269, 3143, 269, 540, 2081, 540, 25786, 476, 275, 1004, 815, 476, 275, 256, 815, 476, 2190, 692, 11073, 540, 891, 476, 2190, 2081, 267, 972, 568, 1152, 835, 1259, 538, 799, 789, 616, 538, 26799, 1931, 780, 3383, 267, 5506, 815, 476, 272, 270, 2190, 692, 514, 713, 1657, 3070, 1946, 972, 568, 1100, 1909, 540, 2698, 5716, 2073, 328, 4318, 1421, 476, 4200, 7790, 286, 2496, 20132, 19560, 476, 277, 1496, 271, 3910, 2016, 281, 476, 275, 692, 12421, 454, 16274, 281, 476, 1556, 3057, 476, 1001, 274, 454, 15803, 281, 476, 279, 692, 20132, 19560, 476, 277, 1496, 272, 3910, 2016, 281, 476, 1556, 692, 2162, 8058, 16193, 692, 6021, 4455, 476, 1001, 274, 267, 476, 6021, 281, 5379, 454, 272, 454, 298, 11070, 5308, 454, 289, 684, 3241, 5206, 912, 275, 269, 2986, 519, 476, 6812, 2550, 540, 20539, 15282, 11233, 267, 476, 3393, 723, 27442, 1013, 22785, 269, 1215, 1082, 540, 519, 2550, 723, 1035, 5268, 14113, 2496, 307, 4459, 344, 2243, 780, 263, 272, 264, 634, 1297, 540, 2550, 540, 20539, 15282, 11233, 945, 723, 1312, 27442, 1013, 22785, 543, 1035, 5268, 14113, 568, 519, 1482, 607, 519, 1297, 540, 2550, 945, 723, 9444, 27442, 1013, 22785, 6862, 1035, 5268, 14113, 269, 2422, 5595, 1606, 564, 5119, 912, 16920, 16670, 912, 309, 1068, 15282, 26666, 454, 2026, 596, 666, 1294, 1948, 540, 2550, 945, 814, 1035, 5268, 14113, 568, 476, 6812, 268, 3393, 284, 1724, 269, 2672, 2310, 780, 263, 273, 264, 476, 3953, 2550, 540, 20539, 15282, 11233, 723, 27442, 1013, 22785, 855, 711, 1035, 5268, 14113, 269, 22682, 13385, 780, 28989, 547, 11145, 596, 645, 684, 3241, 267, 855, 1946, 10093, 1405, 596, 2808, 538, 707, 5119, 519, 2013, 1141, 1004, 666, 723, 1035, 19745, 14113, 855, 711, 27442, 1013, 1993, 14113, 286, 1403, 596, 1039, 513, 1007, 1651, 1758, 924, 972, 630, 2280, 781, 2161, 834, 344, 19823, 1101, 3948, 568, 13385, 543, 596, 1131, 991, 519, 2034, 835, 547, 4194, 519, 1966, 269, 7316, 568, 1250, 4661, 17528, 2496, 20132, 19560, 476, 277, 1496, 272, 3910, 2016, 281, 476, 1556, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 275, 1240, 11152, 692, 20132, 19560, 476, 12553, 279, 2420, 1496, 271, 3910, 2016, 281, 476, 13199, 10695, 692, 2162, 8058, 16193, 692, 1321, 4455, 476, 1001, 274, 267, 476, 4962, 281, 5392, 454, 13434, 984, 7534, 5206, 912, 289, 684, 3241, 5206, 912, 275, 269, 2986, 519, 476, 6812, 2550, 540, 20539, 15282, 11233, 267, 476, 3393, 723, 27442, 1013, 22785, 269, 1215, 1082, 540, 519, 2550, 723, 1035, 5268, 14113, 2496, 307, 4459, 344, 2243, 780, 263, 272, 264, 634, 1297, 540, 2550, 540, 20539, 15282, 11233, 945, 723, 1312, 27442, 1013, 22785, 543, 1035, 5268, 14113, 568, 519, 1482, 607, 519, 1297, 540, 2550, 945, 723, 9444, 27442, 1013, 22785, 6862, 1035, 5268, 14113, 269, 2422, 5595, 1606, 564, 5119, 912, 16920, 16670, 912, 763, 13613, 20539, 15282, 26666, 568, 1100, 3476, 2139, 454, 2026, 596, 666, 1294, 1948, 540, 2550, 945, 814, 1035, 5268, 14113, 568, 476, 6812, 268, 3393, 284, 1724, 269, 2672, 2310, 780, 263, 273, 264, 476, 3953, 2550, 540, 20539, 15282, 11233, 723, 27442, 1013, 22785, 855, 711, 1035, 5268, 14113, 269, 22682, 13385, 780, 28989, 547, 11145, 596, 645, 684, 3241, 267, 855, 1946, 10093, 1405, 596, 2808, 538, 707, 5119, 519, 2013, 1141, 1004, 666, 723, 1035, 19745, 14113, 855, 711, 27442, 1013, 1993, 14113, 286, 1403, 596, 1039, 513, 1007, 1651, 1758, 924, 972, 630, 2280, 781, 2161, 834, 344, 19823, 1101, 3948, 568, 13385, 543, 596, 1131, 991, 519, 2034, 835, 547, 4194, 519, 1966, 269, 7316, 568, 1250, 4661, 17528, 2496, 291, 19302, 1606, 564, 5119, 814, 782, 2665, 2009, 269, 634, 2013, 596, 616, 6158, 827, 568, 2699, 4216, 2630, 912, 16920, 16670, 1384, 308, 660, 12822, 26666, 1496, 476, 277, 269, 5379, 27411, 289, 1923, 7348, 539, 476, 14341, 274, 2053, 23378, 3719, 649, 1810, 1405, 991, 621, 547, 1205, 519, 2626, 780, 28775, 621, 781, 2312, 563, 6303, 318, 692, 20132, 19560, 476, 12553, 279, 2420, 1496, 271, 3910, 2016, 281, 476, 13199, 10695, 692, 12421, 454, 16274, 281, 476, 2764, 4239, 476, 1001, 273, 454, 15803, 281, 476, 273, 692, 20132, 19560, 1496, 271, 3910, 2016, 281, 476, 274, 692, 2162, 8058, 16193, 692, 1321, 4455, 476, 1001, 274, 267, 476, 1704, 281, 6078, 454, 289, 684, 3241, 5206, 912, 278, 269, 5590, 589, 5161, 540, 737, 3982, 2338, 269, 1403, 562, 2338, 616, 5697, 689, 519, 1305, 835, 8386, 14633, 267, 1141, 562, 27045, 330, 267, 1018, 568, 519, 5506, 602, 2338, 786, 581, 5697, 538, 26799, 1931, 2496, 263, 272, 264, 5590, 589, 5161, 540, 476, 1321, 1256, 15654, 9981, 3248, 263, 273, 264, 562, 284, 276, 780, 2171, 1058, 1174, 1739, 1079, 1919, 912, 272, 269, 634, 5506, 540, 8939, 1022, 562, 2338, 689, 519, 1305, 568, 519, 1482, 269, 4208, 1058, 1022, 15410, 540, 562, 2338, 723, 2362, 610, 2539, 5506, 540, 1373, 5697, 982, 930, 824, 15410, 540, 562, 2338, 286, 17438, 3085, 1405, 3870, 1022, 1880, 15410, 780, 273, 269, 3767, 267, 2015, 602, 519, 15410, 5697, 568, 6695, 346, 343, 318, 272, 267, 1422, 1535, 318, 273, 267, 1422, 10371, 1421, 1422, 1535, 5332, 315, 6525, 267, 1141, 3230, 343, 318, 272, 283, 343, 318, 273, 283, 1862, 283, 343, 5332, 21974, 1284, 666, 2824, 713, 15410, 540, 2338, 538, 3230, 333, 256, 2330, 1948, 540, 2081, 543, 856, 540, 891, 562, 256, 2081, 1152, 835, 267, 12077, 6695, 346, 343, 318, 272, 267, 1422, 1535, 318, 273, 267, 1422, 10371, 1421, 1422, 1535, 5332, 315, 6525, 786, 581, 538, 26799, 1931, 269, 1924, 476, 272, 856, 540, 562, 256, 269, 3230, 303, 7807, 2765, 346, 272, 2410, 333, 256, 6525, 780, 17798, 267, 2687, 547, 519, 1657, 519, 1152, 3364, 649, 991, 547, 917, 547, 2626, 519, 2243, 568, 519, 2450, 540, 519, 15410, 630, 333, 264, 649, 616, 8939, 689, 1305, 589, 780, 529, 660, 519, 2626, 667, 267, 1317, 649, 917, 689, 3948, 589, 602, 972, 616, 476, 1321, 3688, 538, 519, 1305, 286, 2186, 14621, 692, 20132, 19560, 1496, 271, 3910, 2016, 281, 476, 274, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 275, 1240, 11152, 692, 20132, 19560, 476, 12553, 279, 2420, 1496, 271, 3910, 2016, 281, 476, 13199, 10695, 692, 2162, 8058, 16193, 692, 1724, 4455, 476, 1001, 274, 267, 476, 6734, 281, 4391, 454, 289, 684, 3241, 5206, 912, 278, 269, 5590, 589, 5161, 540, 737, 3982, 2338, 269, 1403, 562, 2338, 616, 5697, 689, 519, 1305, 835, 8386, 14633, 267, 1141, 562, 27045, 330, 267, 1018, 568, 519, 5506, 602, 2338, 786, 581, 5697, 538, 26799, 1931, 2496, 263, 272, 264, 5590, 589, 5161, 540, 476, 1321, 1256, 15654, 9981, 3248, 263, 273, 264, 562, 284, 276, 780, 2171, 1058, 1174, 1739, 1079, 1919, 912, 272, 269, 634, 5506, 540, 8939, 1022, 562, 2338, 689, 519, 1305, 568, 519, 1482, 269, 4208, 1058, 1022, 15410, 540, 562, 2338, 723, 2362, 610, 2539, 5506, 540, 1373, 5697, 982, 930, 824, 15410, 540, 562, 2338, 286, 17438, 3085, 1405, 3870, 1022, 1880, 15410, 780, 273, 269, 3767, 267, 2015, 602, 519, 15410, 5697, 568, 6695, 346, 343, 318, 272, 267, 1422, 1535, 318, 273, 267, 1422, 10371, 1421, 1422, 1535, 5332, 315, 6525, 267, 1141, 3230, 343, 318, 272, 283, 343, 318, 273, 283, 1862, 283, 343, 5332, 21974, 1284, 666, 2824, 713, 15410, 540, 2338, 538, 3230, 333, 256, 2330, 1948, 540, 2081, 543, 856, 540, 891, 562, 256, 2081, 1152, 835, 267, 12077, 6695, 346, 343, 318, 272, 267, 1422, 1535, 318, 273, 267, 1422, 10371, 1421, 1422, 1535, 5332, 315, 6525, 786, 581, 538, 26799, 1931, 269, 1924, 476, 272, 856, 540, 562, 256, 269, 3230, 303, 7807, 2765, 346, 272, 2410, 333, 256, 6525, 780, 17798, 267, 2687, 547, 519, 1657, 519, 1152, 3364, 649, 991, 547, 917, 547, 2626, 519, 2243, 568, 519, 2450, 540, 519, 15410, 630, 333, 264, 649, 616, 8939, 689, 1305, 589, 780, 529, 660, 519, 2626, 667, 267, 1317, 649, 917, 689, 3948, 589, 602, 972, 616, 476, 1321, 3688, 538, 519, 1305, 286, 2186, 14621, 692, 5591, 267, 519, 2626, 568, 645, 269, 634, 2450, 540, 519, 1305, 568, 711, 2614, 267, 1247, 519, 2450, 540, 519, 15410, 568, 563, 6303, 318, 692, 20132, 19560, 476, 12553, 279, 2420, 1496, 271, 3910, 2016, 281, 476, 13199, 10695, 692, 10048, 4526, 454, 16274, 281, 476, 1691, 5463, 476, 1001, 273, 454, 15803, 281, 476, 8064, 692, 20132, 19560, 476, 1626, 1496, 271, 3910, 2016, 281, 476, 5908, 692, 19613, 281, 2136, 2276, 692, 2162, 8058, 16193, 692, 1556, 2904, 476, 1001, 274, 267, 476, 1428, 281, 6349, 454, 289, 684, 3241, 5206, 912, 273, 269, 1403, 562, 568, 513, 2318, 8870, 543, 533, 568, 513, 6305, 1297, 267, 568, 533, 513, 3815, 540, 562, 256, 2496, 263, 272, 264, 533, 568, 513, 3815, 540, 630, 333, 266, 273, 25631, 268, 333, 256, 25341, 952, 3230, 333, 284, 273, 2330, 1287, 30967, 333, 266, 273, 25631, 268, 333, 256, 284, 2420, 2330, 543, 585, 3230, 335, 284, 273, 2330, 1287, 2626, 786, 581, 962, 2464, 855, 585, 3230, 335, 284, 1556, 2330, 519, 2626, 786, 581, 12971, 269, 3502, 6190, 780, 263, 273, 264, 533, 568, 513, 3815, 540, 630, 333, 266, 273, 264, 24425, 333, 256, 25341, 6695, 2765, 18950, 333, 266, 273, 25631, 2410, 333, 256, 13157, 263, 333, 266, 272, 7565, 333, 266, 273 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8005, 4024, 3503, 3776, 3778, 286, 281, 4414, 4593, 1478, 532, 513, 26726, 25201, 689, 519, 32160, 717, 2867, 1729, 454, 1103, 476, 3707, 271, 267, 538, 519, 6014, 575, 2867, 1729, 540, 13303, 268, 31039, 32160, 267, 519, 14470, 14787, 661, 28609, 23580, 601, 4565, 636, 3964, 513, 804, 663, 32347, 14046, 3919, 1572, 519, 744, 344, 10864, 1744, 629, 525, 547, 2594, 519, 2833, 540, 519, 575, 2867, 1729, 781, 11317, 269, 1280, 1614, 1296, 267, 2818, 540, 519, 744, 344, 928, 321, 1744, 629, 525, 5249, 538, 5728, 547, 12225, 1834, 519, 2729, 540, 554, 1495, 699, 1091, 540, 5215, 607, 789, 11124, 27781, 267, 2068, 267, 543, 1244, 677, 566, 676, 519, 21647, 269, 10374, 569, 1354, 519, 32160, 575, 2867, 1729, 729, 7962, 1221, 543, 986, 7458, 538, 476, 3707, 274, 267, 519, 744, 344, 10864, 1744, 629, 525, 12617, 5215, 540, 6054, 689, 713, 7372, 21287, 538, 5144, 23691, 543, 17646, 10833, 267, 4180, 602, 519, 5639, 543, 2528, 540, 513, 798, 15701, 1004, 1131, 7979, 770, 519, 3646, 540, 741, 14763, 547, 16563, 873, 269, 1955, 701, 764, 2406, 21503, 543, 8499, 8903, 267, 15656, 667, 269, 918, 817, 578, 781, 5808, 4024, 3503, 3776, 3778, 286, 6645, 519, 13249, 1650, 540, 23580, 601, 4565, 636, 543, 1010, 24123, 8990, 547, 946, 3140, 14172, 547, 8190, 519, 3965, 540, 513, 12219, 1004, 563, 5804, 519, 11780, 28980, 7160, 563, 1432, 1004, 616, 6031, 910, 3503, 513, 2689, 454, 18800, 281, 5808, 4024, 3503, 3776, 3778, 286, 281, 4414, 4593, 1478, 532, 513, 26726, 25201, 689, 519, 32160, 717, 2867, 1729, 27165, 5623, 910, 918, 2001, 577, 1731, 910, 6153, 1348, 338, 454, 25802, 13395, 267, 594, 6415, 711, 2386, 594, 9364, 4363, 713, 1433, 547, 519, 13680, 5467, 609, 513, 12863, 7279, 538, 1565, 827, 519, 14195, 269, 901, 568, 711, 513, 4358, 1448, 585, 14195, 1382, 269, 12846, 267, 835, 666, 2995, 602, 713, 1434, 729, 513, 11668, 540, 2648, 543, 23939, 21503, 269, 3367, 2407, 2689, 454, 18800, 281, 5808, 4024, 3503, 3776, 3778, 286, 281, 4414, 4593, 1478, 532, 513, 26726, 25201, 689, 519, 32160, 717, 2867, 1729, 27165, 5623, 910, 795, 14493, 910, 6153, 1348, 338, 454, 296, 666, 1405, 2161, 621, 1732, 982, 8834, 16019, 1705, 538, 519, 1715, 6243, 281, 834, 1607, 949, 1134, 581, 519, 1034, 1271, 1433, 827, 1686, 602, 4896, 786, 2479, 1224, 269, 898, 568, 849, 513, 1360, 1271, 1433, 540, 1686, 3267, 3367, 2407, 2689, 454, 5226, 328, 20527, 322, 686, 571, 711, 516, 1277, 334, 790, 7790, 281, 15776, 21517, 3813, 337, 11726, 5052, 5918, 575, 2867, 1729, 632, 24430, 810, 341, 773, 454, 21579, 3241, 667, 269, 918, 817, 578, 454, 5591, 12744, 2139, 910, 476, 1001, 272, 454, 763, 654, 1137, 540, 20121, 2315, 281, 634, 10435, 543, 27915, 540, 519, 13303, 19004, 454, 5591, 12744, 2139, 910, 476, 1220, 279, 0, 1432, 1772, 12409, 15557, 888, 14807, 1049, 15557, 568, 513, 2165, 4294, 547, 1153, 4218, 5928, 602, 11441, 547, 1711, 2318, 1689, 538, 3872, 3609, 543, 3157, 269, 634, 1739, 2376, 11828, 12409, 15557, 543, 930, 540, 519, 5107, 602, 2069, 3401, 6445, 269, 12140, 5356, 4065, 910, 31044, 15557, 5232, 666, 849, 581, 1336, 538, 891, 2442, 5079, 563, 1432, 568, 12409, 15557, 888, 14807, 1049, 15557, 4016, 547, 7245, 5107, 693, 3506, 267, 9945, 543, 824, 3872, 5238, 602, 979, 3564, 2757, 2359, 543, 11889, 4247, 269, 12409, 3401, 616, 8036, 547, 4434, 543, 2087, 3872, 1949, 610, 5238, 269, 12409, 3401, 2356, 616, 6964, 607, 1153, 21246, 1023, 610, 16984, 855, 1491, 593, 3606, 5107, 267, 971, 607, 8257, 11381, 610, 4081, 632, 534, 563, 31262, 540, 12409, 15557, 454, 14807, 1049, 3401, 960, 547, 2087, 3872, 5752, 269, 1358, 16926, 543, 4383, 3610, 543, 5234, 267, 5965, 23348, 267, 1305, 6437, 4441, 543, 1305, 1153, 17253, 3609, 269, 1358, 1522, 960, 593, 2319, 2679, 3646, 610, 1964, 4450, 519, 3919, 547, 1860, 2556, 1689, 269, 3509, 3872, 3401, 616, 3238, 609, 3609, 1646, 610, 6963, 2152, 7231, 609, 2069, 593, 519, 2199, 267, 1533, 610, 3084, 1377, 563, 22512, 619, 538, 12409, 15557, 454, 22512, 619, 538, 12409, 15557, 666, 581, 1336, 693, 782, 2157, 540, 2069, 267, 689, 840, 17469, 1982, 19971, 547, 4081, 632, 753, 693, 9945, 269, 2311, 519, 2852, 610, 6280, 1377, 267, 3872, 3401, 616, 6964, 607, 8257, 23107, 267, 18942, 19971, 610, 6437, 19971, 269, 2311, 10026, 543, 6281, 3506, 267, 3872, 3401, 960, 607, 21246, 1023, 267, 13930, 21246, 1023, 267, 18942, 19971, 267, 2212, 5733, 1562, 267, 1291, 3610, 610, 632, 753, 269, 4033, 3872, 3401, 960, 609, 14223, 2516, 267, 25211, 2516, 610, 824, 1875, 17416, 3919, 593, 2870, 610, 6963, 532, 3609, 543, 3872, 1949, 563, 14807, 1049, 15557, 4065, 15789, 454, 14807, 1049, 15557, 3292, 616, 2356, 6035, 693, 519, 10927, 1377, 269, 1452, 3292, 8366, 9457, 540, 12409, 15557, 610, 1912, 6185, 269, 538, 12409, 15557, 5232, 269, 6732, 3292, 616, 849, 6035, 676, 1896, 5238, 269, 15789, 3382, 519, 3069, 543, 2259, 540, 2069, 267, 519, 1909, 540, 2069, 538, 2486, 267, 3450, 2409, 267, 6530, 267, 1153, 1876, 543, 2029, 1031, 538, 3872, 5468, 563, 2414, 3136, 15388, 267, 19584, 4110, 3681, 2630, 585, 1576, 6437, 267, 23944, 28987, 543, 2883, 5351, 1344, 269, 2107, 267, 1451, 811, 827, 519, 1641, 676, 2542, 519, 1644, 4930, 2630, 281, 0, 23813, 296, 297, 5058, 267, 8734, 269, 476, 1626, 630, 311, 514, 327, 10224, 564, 264, 4534, 3624, 786, 1121, 324, 5501, 519, 3259, 540, 519, 4279, 9931, 3710, 538, 30721, 19092, 630, 15793, 279, 268, 13932, 275, 1070, 609, 519, 948, 540, 7098, 517, 2246, 545, 6552, 15392, 2029, 267, 1767, 18681, 808, 328, 267, 1244, 14280, 23122, 24932, 1968, 540, 3624, 4279, 9931, 4659, 1934, 13723, 563, 313, 28702, 1767, 513, 1982, 593, 2649, 1947, 5619, 532, 519, 4279, 9931, 609, 6552, 15392, 2029, 729, 1500, 543, 9516, 607, 15164, 676, 4966, 563, 763, 1982, 786, 1683, 606, 4977, 3259, 540, 519, 4279, 9931, 267, 799, 729, 3710, 676, 4457, 1101, 17169, 1627, 1231, 6062, 16852, 836, 267, 543, 32206, 543, 22058, 730, 538, 30721, 19092, 563, 763, 1699, 2268, 540, 519, 4279, 9931, 267, 799, 568, 476, 278, 1789, 271, 12919, 267, 568, 2693, 711, 513, 1360, 4977, 835, 1813, 547, 519, 5266, 18807, 7893, 3937, 543, 2409, 538, 519, 2250, 267, 1767, 18681, 563, 3891, 1767, 519, 1982, 786, 711, 1152, 2709, 519, 4890, 3259, 540, 519, 1158, 4898, 267, 855, 666, 849, 1683, 5961, 540, 922, 2949, 11768, 267, 799, 568, 1713, 547, 519, 11091, 540, 713, 2686, 882, 545, 269, 0, 293, 6150, 896, 281, 4317, 7827, 267, 21816, 324, 1359, 1923, 16193, 281, 1453, 267, 13091, 267, 2069, 267, 6820, 8070, 267, 27425, 267, 4477, 1756, 267, 24770, 267, 21816, 324, 1359, 454, 1607, 568, 1776, 3888, 618, 538, 938, 3126, 540, 4930, 593, 24749, 538, 27425, 267, 5697, 689, 519, 4930, 2854, 585, 938, 16311, 609, 4477, 1756, 543, 6820, 8070, 269, 3367, 938, 1101, 2376, 5542, 543, 811, 4282, 1934, 563, 3528, 6754, 20514, 454, 294, 1516, 942, 593, 513, 17319, 4493, 568, 835, 2318, 1259, 649, 666, 4217, 1004, 267, 1519, 1453, 267, 547, 25580, 741, 3885, 267, 2729, 543, 2950, 267, 543, 2285, 873, 4126, 585, 519, 2104, 269, 901, 10516, 540, 942, 267, 1256, 607, 2370, 607, 1079, 4374, 267, 568, 2523, 1271, 585, 1004, 538, 513, 2197, 899, 27425, 1141, 267, 936, 1079, 1296, 2094, 922, 3854, 543, 4478, 2127, 941, 10032, 676, 513, 2101, 13091, 543, 1310, 3333, 4169, 267, 936, 835, 543, 513, 3368, 2929, 15602, 1869, 2661, 538, 2695, 531, 528, 538, 17895, 4872, 543, 519, 6299, 1076, 540, 10032, 5321, 543, 2950, 563, 26536, 531, 294, 1516, 568, 513, 1875, 17416, 17493, 13539, 267, 799, 6212, 2390, 8744, 1927, 538, 835, 1747, 3785, 602, 2154, 15321, 948, 269, 769, 27425, 267, 891, 3785, 2039, 689, 4543, 547, 13599, 1453, 547, 4742, 3238, 538, 519, 9568, 8323, 543, 16646, 3785, 602, 616, 1869, 18418, 2299, 2877, 585, 1004, 538, 513, 30635, 3042, 2197, 945, 1419, 3100, 547, 581, 723, 1044, 16618, 676, 519, 3544, 1158, 563, 31094, 958, 267, 538, 4758, 1079, 4374, 15321, 942, 594, 1131, 1445, 2390, 519, 16646, 3785, 269, 769, 1880, 267, 594, 1131, 6999, 547, 7119, 538, 1346, 3785, 1644, 547, 519, 16646, 540, 519, 2197, 779, 1216, 267, 19455, 543, 21137, 1949, 267, 543, 547, 1683, 519, 2200, 543, 1344, 547, 5512, 519, 20951, 1014, 1004, 547, 2149, 2933, 676, 1625, 4328, 519, 1216, 789, 946, 543, 4235, 563, 763, 2601, 594, 1131, 3442, 713, 1788, 547, 2285, 1250, 942, 547, 568, 602, 519, 2551, 540, 27425, 267, 799, 14754, 16042, 3368, 513, 2929, 7972, 1739, 519, 13091, 543, 1310, 3333, 4169, 267, 543, 5176, 1614, 2053, 602, 1297, 1373, 1500, 15602, 814, 267, 2094, 5239, 476, 1001, 271, 267, 1044, 538, 519, 17945, 540, 1776, 5732, 14603, 31685, 267, 713, 1373, 606, 12176, 540, 932, 565, 5028, 269, 901, 12176, 568, 267, 2687, 547, 13744, 1656, 6350, 540, 519, 7754, 1977, 2657, 25944, 267, 968, 821, 540, 519, 4102, 26601, 5028, 8623, 12515, 538, 2413, 1686, 547, 1860, 513, 2582, 2197, 3034, 2414, 4266, 267, 936, 3368, 513, 2929, 1004, 538, 27425, 723, 26438, 932, 565, 5028, 543, 1472, 476, 1220, 1007, 2665, 616, 1373, 4080, 1169, 1554, 267, 513, 1297, 799, 568, 2693, 547, 15583, 622, 1282, 27425, 779, 24925, 4005, 538, 4989, 269, 4014, 519, 2557, 540, 7972, 814, 1044, 4389, 998, 519, 3646, 540, 5351, 8041, 267, 519, 1297, 540, 932, 565, 5028, 28896, 538, 27425, 568, 1869, 11173, 547, 4473, 269, 901, 1797, 602, 2943, 811, 3237, 538, 27425, 616, 9561, 741, 1453, 267, 610, 31705, 268, 951, 320, 267, 543, 3885, 945, 723, 2907, 11124, 519, 2530, 540, 6068, 3283, 616, 1373, 16271, 547, 2943, 811, 16236, 269, 1717, 267, 3170, 1275, 568, 711, 519, 1152, 12343, 540, 932, 565, 5028, 269, 932, 565, 5028, 666, 1267, 538, 1970, 1973, 2604, 543, 8459, 3441, 563, 2005, 666, 849, 581, 5293, 3362, 676, 606, 7783, 1268, 547, 1866, 267, 2523, 538, 513, 2197, 899, 27425, 1141, 19455, 2175, 2611, 513, 1966, 1739, 519, 13091, 563, 1103, 7262, 2950, 267, 649, 2490, 593, 512, 2355, 609, 519, 22059, 602, 2501, 609, 519, 1702, 602, 519, 1216, 649, 4235, 814, 1044, 29881, 269, 1284, 616, 4313, 539, 676, 519, 1249, 602, 19455, 543, 21137, 1949, 786, 30817, 1216, 25645, 2068, 602, 1522, 581, 5739, 547, 938, 1072, 269, 4634, 950, 7727, 616, 22314, 267, 649, 723, 519, 1797, 543, 1702, 547, 1625, 1518, 938, 1216, 3761, 538, 519, 1753, 563, 763, 2551, 540, 27425, 1281, 711, 723, 891, 635, 325, 2176, 543, 6015, 269, 634, 13091, 538, 476, 1001, 271, 10032, 1034, 540, 519, 2197, 779, 19455, 543, 21137, 5989, 269, 4634, 1082, 1004, 945, 2661, 538, 519, 811, 6917, 2127, 616, 1896, 5195, 689, 513, 2973, 1216, 3761, 269, 634, 19774, 543, 15602, 267, 945, 2611, 538, 519, 27581, 10151, 512, 5034, 4872, 543, 6299, 1076, 538, 2127, 899, 5800, 268, 879, 6261, 337, 1550, 267, 2899, 519, 13049, 538, 27425, 779, 13862, 267, 616, 7142, 547, 5531, 1216, 689, 1022, 2139, 2707, 267, 799, 1419, 1797, 30077, 956, 543, 824, 7727, 540, 4764, 1216, 602, 814, 1044, 13572, 676, 21137, 543, 824, 1216, 25645, 12178, 269, 3509, 540, 891, 1004, 798, 711, 723, 519, 7482, 610, 1569, 547, 3937, 543, 7254, 3202, 2472, 547, 581, 2111, 547, 2973, 572, 519, 1216, 789, 946, 585, 5986, 267, 28876, 543, 6704, 563, 4517, 6350, 779, 1867, 8761, 602, 4352, 3646, 616, 1373, 1500, 547, 11177, 519, 19455, 5989, 538, 27425, 267, 891, 616, 9991, 530, 4141, 2685, 2110, 540, 1018, 568, 2877, 267, 543, 602, 621, 786, 1942, 1472, 1269, 272, 269, 272, 5479, 547, 4020, 543, 1020, 519, 2371, 543, 1949, 602, 786, 1683, 519, 1004, 540, 27425, 609, 513, 2973, 1216, 3761, 563, 2005, 568, 585, 891, 4128, 602, 24749, 1079, 4374, 540, 942, 267, 610, 1256, 3476, 267, 547, 4217, 609, 713, 1858, 540, 16646, 1131, 581, 865, 1271, 269, 1403, 891, 1079, 4374, 2569, 519, 2557, 540, 932, 565, 5028, 3968, 676, 4557, 1004, 513, 1554, 267, 4557, 13538, 1131, 10300, 557, 519, 1699, 9860, 540, 519, 2068 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2033, 642, 20294, 640, 7397, 616, 4122, 3254, 538, 3872, 8874, 593, 27795, 11707, 630, 325, 13904, 1806, 1331, 519, 12135, 30820, 293, 781, 834, 309, 20294, 640, 257, 314, 278, 316, 543, 834, 293, 1495, 4442, 14362, 540, 10046, 257, 676, 19578, 4659, 540, 10281, 14989, 3194, 314, 279, 316, 6393, 1012, 16930, 9443, 692, 2162, 17224, 517, 2246, 923, 692, 1103, 7098, 19392, 267, 519, 12740, 3892, 936, 513, 13113, 13617, 949, 581, 4114, 13846, 676, 14322, 602, 1142, 10126, 540, 519, 13617, 814, 513, 10859, 19899, 9548, 911, 4979, 642, 29448, 3297, 621, 269, 898, 568, 1287, 2009, 547, 4194, 585, 519, 4222, 540, 519, 642, 677, 1182, 1210, 519, 21205, 602, 972, 581, 1100, 2095, 13251, 998, 519, 2627, 540, 519, 13617, 269, 901, 5650, 568, 1572, 519, 642, 29448, 8470, 1505, 540, 12985, 5714, 6384, 269, 634, 9342, 540, 519, 642, 677, 1182, 616, 1287, 2040, 4364, 547, 1265, 519, 2698, 16977, 10009, 827, 519, 13617, 269, 4340, 547, 519, 918, 583, 3279, 1700, 297, 537, 330, 22603, 11532, 267, 12740, 568, 519, 1587, 540, 10009, 267, 2011, 14588, 539, 267, 543, 2011, 5860, 780, 2162, 27321, 9443, 692, 763, 3448, 642, 20294, 640, 568, 519, 642, 20294, 640, 540, 519, 2011, 6991, 2361, 3448, 547, 519, 3047, 269, 901, 568, 1419, 24018, 607, 513, 1079, 8820, 2095, 6252, 547, 519, 2666, 267, 865, 602, 519, 3448, 642, 20294, 640, 6152, 568, 3622, 13902, 547, 519, 2666, 267, 543, 666, 1287, 581, 9763, 607, 513, 22185, 7274, 267, 2318, 950, 519, 6152, 2798, 16057, 267, 2942, 950, 621, 2798, 1524, 2072, 269, 4475, 267, 642, 20294, 640, 568, 2318, 950, 519, 2842, 7140, 4831, 12641, 1442, 3772, 630, 331, 8504, 1524, 5196, 519, 3047, 781, 2627, 1040, 769, 519, 8832, 25955, 267, 2318, 642, 20294, 640, 568, 1572, 7814, 4577, 10047, 267, 543, 2942, 642, 20294, 640, 568, 1884, 5390, 743, 4577, 10047, 282, 519, 562, 32393, 1155, 568, 20328, 538, 519, 8828, 25955, 780, 763, 6207, 642, 20294, 640, 568, 17223, 689, 519, 2011, 6991, 3448, 547, 606, 16931, 658, 7406, 267, 543, 4061, 2882, 513, 2165, 1813, 547, 519, 3047, 781, 10047, 267, 519, 4856, 2723, 529, 9936, 780, 763, 1761, 642, 20294, 640, 568, 6207, 642, 20294, 640, 5258, 676, 519, 7299, 19437, 1063, 2157, 540, 3586, 23811, 630, 528, 1761, 2837, 1040, 634, 6207, 642, 20294, 640, 540, 606, 2011, 2527, 786, 1689, 952, 519, 2011, 2527, 568, 21401, 630, 528, 19316, 264, 538, 519, 1990, 4287, 267, 855, 519, 1761, 642, 20294, 640, 568, 24721, 538, 606, 740, 328, 629, 1738, 2095, 267, 799, 2392, 558, 7149, 538, 519, 5790, 269, 634, 1761, 642, 20294, 640, 568, 4061, 3730, 607, 606, 16977, 911, 1356, 540, 2011, 13999, 936, 519, 2053, 7051, 540, 513, 1906, 2395, 267, 3226, 950, 9763, 593, 2157, 540, 3586, 23811, 780, 763, 3046, 32430, 642, 20294, 640, 3830, 568, 519, 14724, 1259, 585, 20925, 519, 3350, 540, 17664, 2421, 6329, 630, 7474, 568, 267, 519, 512, 893, 338, 543, 31393, 540, 476, 4335, 1109, 327, 25508, 2520, 18821, 1113, 4463, 264, 936, 513, 3908, 2179, 540, 942, 630, 320, 1906, 2395, 1040, 769, 519, 476, 4198, 271, 338, 267, 519, 1101, 3811, 3292, 585, 10230, 4365, 20925, 8246, 602, 3830, 780, 1103, 2413, 10230, 4365, 20925, 3631, 543, 2489, 10009, 3631, 630, 294, 13967, 781, 1070, 642, 20294, 640, 949, 581, 835, 540, 519, 10567, 4632, 267, 538, 799, 2013, 519, 7222, 942, 17466, 3830, 568, 513, 1322, 333, 8251, 3830, 780, 13900, 30008, 540, 519, 2011, 5163, 568, 1271, 538, 20925, 2706, 3250, 338, 543, 519, 1761, 585, 14324, 19631, 2534, 780, 1012, 22108, 692, 272, 269, 17976, 11872, 689, 2160, 540, 6115, 454, 273, 269, 1849, 3599, 267, 700, 12282, 1421, 17224, 19392, 267, 8791, 476, 278, 269, 1556, 454, 274, 269, 918, 1495, 340, 623, 543, 28137, 594, 269, 29079, 23317, 269, 283, 339, 6374, 520, 18887, 521, 21683, 6889, 9556, 2544, 281, 290, 2787, 270, 5425, 272, 23995, 5138, 6983, 1087, 257, 20565, 339, 6374, 520, 18887, 11417, 275, 269, 4985, 547, 8330, 5268, 9713, 13937, 18868, 454, 276, 269, 15506, 3832, 3271, 267, 3296, 476, 276, 269, 273, 454, 277, 269, 808, 537, 28325, 20391, 715, 9950, 269, 630, 4489, 275, 1040, 834, 4002, 519, 5163, 540, 1216, 693, 513, 2490, 540, 513, 5757, 2668, 631, 622, 15122, 1127, 330, 4512, 590, 9799, 1731, 269, 476, 2764, 269, 283, 339, 6374, 520, 18887, 521, 21683, 6889, 9556, 2544, 281, 290, 2787, 270, 5425, 272, 23995, 5138, 6983, 1087, 257, 20565, 339, 6374, 520, 18887, 20101, 3115, 11781, 539, 538, 281, 11814, 539, 1568, 269, 476, 275, 269, 18293, 282, 700, 2287, 2784, 269, 476, 4350, 278, 269, 6032, 269, 1109, 4350, 1700, 21327, 267, 476, 23211, 1700, 22001, 630, 629, 5724, 538, 2296, 1040, 283, 339, 6374, 520, 18887, 521, 21683, 6889, 9556, 2544, 281, 290, 2787, 270, 5425, 272, 23995, 5138, 6983, 1087, 257, 20565, 339, 6374, 520, 18887, 285, 834, 23178, 6660, 990, 747, 781, 10581, 2580, 607, 808, 537, 28325, 20391, 4016, 713, 642, 20294, 640, 11281, 547, 267, 568, 1085, 3012, 1227, 3254, 538, 4137, 593, 2985, 476, 3422, 540, 11814, 539, 1568, 563, 278, 269, 2817, 9730, 585, 29079, 23317, 8606, 916, 454, 279, 269, 8606, 916, 676, 28865, 681, 1787, 2443, 4083, 16281, 2443, 10281, 4592, 7220, 1299, 7177, 0, 258, 27387, 281, 5606, 17802, 1082, 22136, 540, 519, 5311, 476, 274, 333, 1341, 476, 273, 692, 272, 269, 12361, 5606, 17802, 1082, 22136, 540, 519, 5311, 476, 274, 333, 1341, 476, 273, 692, 296, 6415, 2348, 8373, 609, 6029, 602, 972, 616, 28222, 1082, 22136, 538, 519, 5311, 476, 274, 333, 1341, 476, 273, 630, 663, 594, 9364, 849, 991, 547, 1246, 676, 16460, 547, 1018, 824, 9696, 666, 713, 4661, 581, 4294, 286, 2020, 14945, 296, 8263, 594, 1376, 1055, 676, 1577, 533, 272, 2999, 533, 273, 2999, 3267, 2999, 533, 330, 581, 513, 13113, 1592, 540, 22136, 540, 513, 519, 5311, 476, 274, 333, 1341, 273, 269, 3973, 849, 2913, 715, 815, 476, 274, 335, 272, 265, 335, 273, 265, 2807, 265, 335, 330, 1341, 476, 273, 780, 8253, 2386, 1141, 547, 979, 689, 1934, 2496, 323, 329, 3626, 692, 273, 269, 20323, 17397, 676, 546, 329, 3626, 454, 296, 6415, 2348, 8373, 609, 6029, 602, 972, 616, 28222, 1082, 22136, 538, 519, 5311, 476, 274, 333, 1341, 476, 273, 630, 663, 594, 9364, 849, 991, 547, 1246, 676, 16460, 547, 1018, 824, 9696, 666, 713, 4661, 581, 4294, 286, 2020, 14945, 296, 8263, 594, 1376, 1055, 676, 1577, 533, 272, 2999, 533, 273, 2999, 3267, 2999, 533, 330, 581, 513, 13113, 1592, 540, 22136, 540, 513, 519, 5311, 476, 274, 333, 1341, 273, 269, 3973, 849, 2913, 715, 815, 476, 274, 335, 272, 265, 335, 273, 265, 2807, 265, 335, 330, 1341, 476, 273, 780, 8253, 2386, 1141, 547, 979, 689, 1934, 2496, 323, 329, 3626, 692, 763, 1297, 4399, 6234, 715, 315, 25406, 476, 273, 315, 256, 315, 256, 315, 256, 315, 335, 7116, 476, 274, 259, 543, 2094, 519, 1587, 540, 22136, 4399, 6234, 533, 315, 25406, 476, 272, 315, 256, 315, 256, 315, 256, 315, 335, 7116, 476, 274, 259, 568, 1586, 540, 519, 1482, 1106, 267, 1287, 13718, 307, 517, 1470, 692, 274, 269, 20323, 17397, 676, 9522, 1470, 454, 763, 1297, 4399, 6234, 715, 315, 25406, 476, 273, 315, 256, 315, 256, 315, 256, 315, 335, 7116, 476, 274, 259, 543, 2094, 519, 1587, 540, 22136, 4399, 6234, 533, 315, 25406, 476, 272, 315, 256, 315, 256, 315, 256, 315, 335, 7116, 476, 274, 259, 568, 1586, 540, 519, 1482, 1106, 267, 1287, 13718, 307, 517, 1470, 454, 11293, 31014, 907, 1018, 8627, 2496, 275, 269, 1323, 2653, 1259, 547, 798, 713, 1131, 581, 547, 946, 667, 597, 747, 2280, 781, 11532, 593, 12980, 3356, 687, 269, 898, 7168, 1454, 3081, 602, 952, 6574, 1455, 27708, 540, 513, 543, 562, 568, 476, 272, 267, 1287, 972, 616, 28222, 1082, 22136, 540, 519, 1106, 513, 266, 526, 780, 1103, 707, 2013, 267, 476, 273, 543, 476, 274, 723, 513, 6574, 1455, 27708, 540, 476, 272, 267, 865, 519, 11532, 10039, 780, 276, 269, 20323, 17397, 676, 1183, 640, 334, 454, 2304, 2653, 1259, 547, 798, 713, 1131, 581, 547, 946, 667, 597, 747, 2280, 781, 11532, 593, 12980, 3356, 687, 269, 898, 7168, 1454, 3081, 602, 952, 6574, 1455, 27708, 540, 513, 543, 562, 568, 476, 272, 267, 1287, 972, 616, 28222, 1082, 22136, 540, 519, 1106, 513, 266, 526, 780, 1103, 707, 2013, 267, 476, 273, 543, 476, 274, 723, 513, 6574, 1455, 27708, 540, 476, 272, 267, 865, 519, 11532, 10039, 780, 296, 1810, 1405, 1589, 713, 568, 834, 1492, 2653, 1259, 257, 855, 2864, 519, 936, 26973, 1259, 281, 621, 781, 2312, 519, 20525, 18387, 1405, 6594, 270, 4754, 1405, 946, 667, 11053, 1421, 6382, 519, 2243, 568, 24735, 563, 291, 307, 568, 606, 1271, 7811, 1907, 267, 855, 18445, 2047, 602, 972, 616, 12808, 22136, 540, 1978, 1106, 666, 581, 2731, 24084, 2287, 267, 543, 713, 568, 4440, 1018, 519, 20525, 781, 2243, 568, 5921, 585, 563, 763, 20726, 568, 2016, 267, 543, 519, 20525, 16460, 834, 20482, 1862, 6343, 257, 4465, 1405, 2731, 1118, 513, 2603, 585, 1864, 17017, 547, 4194, 519, 1966, 269, 5502, 646, 24172, 1590, 1589, 513, 1247, 780, 307, 517, 1470, 692, 277, 269, 20323, 17397, 676, 546, 329, 3626, 454, 11293, 31014, 907, 1018, 8627, 888, 3674, 519, 1966, 602, 596, 798, 711, 917, 1018, 834, 263, 7116, 476, 274, 17983, 1797, 286, 0, 258, 2598, 4740, 9119, 5999, 543, 12226, 1107, 29491, 10789, 1107, 31016, 2795, 21476, 692, 1607, 1305, 540, 2598, 4740, 9119, 13038, 14893, 5999, 1299, 12226, 630, 10157, 17988, 264, 6212, 593, 968, 22517, 18978, 10789, 1107, 31016, 2795, 21476, 892, 780, 272, 269, 918, 2173, 777, 568, 1031, 585, 12223, 13090, 454, 320, 264, 7954, 6922, 1436, 454, 321, 264, 4082, 12366, 1436, 454, 322, 264, 2040, 2719, 540, 26027, 11353, 454, 323, 264, 7954, 10766, 5137, 692, 15008, 281, 918, 2173, 777, 29687, 4768, 823, 31016, 2795, 540, 13852, 22475, 538, 476, 4198, 274, 264, 568, 3989, 607, 513, 6516, 15122, 1505, 585, 7954, 6922, 1436, 543, 621, 568, 513, 3182, 3645, 2070, 540, 5168, 3349, 799, 2982, 519, 2078, 1063, 11378, 543, 3977, 269, 898, 568, 811, 3608, 982, 29491, 7223, 269, 918, 2173, 777, 568, 513, 6516, 1500, 909, 540, 10945, 538, 799, 1142, 4009, 4564, 513, 1295, 3410, 610, 3193, 3410, 540, 519, 7954, 1599, 780, 273, 269, 1677, 4159, 942, 538, 16749, 10473, 799, 3059, 5547, 568, 1031, 888, 320, 264, 5722, 10126, 1232, 18344, 454, 321, 264, 5216, 10126, 1958, 18344, 454, 322, 264, 476, 279, 281, 274, 2789, 343, 518, 454, 323, 264, 476, 280, 3787, 10126, 9920, 692, 15008, 281, 589, 5722, 10126, 1232, 18344, 568, 513, 3059, 5547, 799, 568, 1031, 547, 4020, 513, 1455, 1826, 540, 3059, 4159, 3926, 1775, 4318, 1421, 513, 1305, 540, 10896, 630, 528, 700, 7374, 264, 12415, 602, 4159, 2338, 689, 476, 271, 998, 476, 280, 693, 519, 4971, 540, 513, 2185, 19229, 3009, 269, 5047, 267, 519, 2623, 540, 519, 4159, 9920, 15096, 568, 6719, 676, 513, 5168, 3349, 609, 5722, 17016, 780, 274, 269, 22217, 1518, 519, 4082, 1210, 918, 2173, 2355, 281, 674, 10490, 32390, 267, 290, 267, 291, 6661, 394, 352, 630, 272, 267, 274, 267, 276, 267, 277, 267, 278, 267, 1556, 267, 1724, 267, 1691, 1916, 320, 264, 9474, 266, 6195, 685, 291, 266, 288, 685, 289, 685, 290, 454, 321, 264, 645, 7374, 685, 266, 288, 685, 290, 685, 291, 266, 9720, 20371, 322, 264, 589, 685, 291, 266, 6195, 291, 266, 288, 685, 6195, 266, 5723, 685, 290, 20371, 323, 264, 8028, 685, 291, 685, 266, 6195, 266, 288, 685, 9720, 266, 290, 685, 291, 685, 692, 15008, 281, 1635, 6061, 519, 2016, 4082, 649, 723, 1295, 614, 916, 971, 607, 589, 685, 291, 266, 6195, 291, 266, 288, 685, 6195, 266, 5723, 685, 290, 9957, 1924, 267, 649, 666, 1205, 519, 2838, 4082, 589, 685, 291, 266, 6195, 291, 266, 288, 685, 6195, 266, 5723, 685, 290, 685, 780, 275, 269, 1879, 8888, 513, 5547, 547, 900, 3634, 513, 5168, 3349, 267, 1312, 8605, 6361, 4149 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2626, 685, 949, 581, 5219, 547, 607, 707, 2990, 267, 1543, 542, 267, 5098, 610, 1292, 4661, 269, 21894, 2165, 568, 1031, 267, 713, 568, 9247, 707, 3210, 547, 519, 1557, 2243, 267, 799, 568, 1759, 593, 519, 1382, 596, 723, 17298, 269, 634, 25759, 5037, 1590, 17412, 519, 1557, 563, 2252, 596, 616, 2731, 585, 930, 2601, 1603, 513, 476, 1911, 2262, 1557, 267, 1287, 596, 1058, 723, 835, 2110, 4845, 585, 1312, 707, 4367, 543, 3932, 269, 901, 1058, 2408, 2038, 538, 519, 5037, 543, 568, 1419, 267, 855, 711, 2141, 267, 519, 1101, 4845, 563, 2252, 596, 4782, 547, 1711, 606, 7291, 267, 2328, 707, 1888, 693, 519, 1283, 540, 519, 2985, 269, 3245, 972, 267, 2253, 547, 1592, 707, 1292, 2093, 267, 6028, 2230, 896, 1142, 835, 269, 769, 713, 2230, 267, 1118, 2386, 547, 1592, 824, 4130, 2093, 602, 9305, 547, 1142, 1292, 2856, 269, 23560, 713, 786, 1450, 596, 547, 1294, 4296, 543, 786, 948, 596, 547, 2328, 513, 811, 6896, 1557, 269, 274, 269, 7756, 2694, 616, 1459, 538, 1114, 2010, 540, 4081, 4574, 4586, 1432, 616, 519, 476, 276, 2694, 540, 606, 1557, 888, 763, 2947, 24733, 4588, 1557, 568, 513, 1106, 540, 1557, 2348, 2947, 9433, 281, 821, 2606, 5037, 2676, 22764, 1560, 9433, 609, 1489, 543, 1646, 267, 543, 563, 821, 25759, 5037, 563, 19352, 1614, 547, 2947, 3515, 4839, 4221, 1055, 689, 713, 1888, 543, 2328, 1524, 707, 1292, 2093, 693, 519, 7475, 540, 891, 3515, 269, 8571, 811, 3515, 1055, 891, 1292, 2093, 543, 1331, 1022, 4555, 596, 949, 723, 593, 891, 2093, 563, 3528, 2921, 1018, 779, 2907, 538, 707, 2212, 543, 8380, 621, 547, 1957, 267, 596, 616, 2111, 547, 1294, 4296, 543, 6402, 1063, 2093, 811, 5693, 269, 901, 2497, 5713, 607, 513, 5748, 1697, 1557, 3898, 1383, 585, 707, 1957, 269, 2422, 2901, 606, 7291, 610, 513, 6516, 547, 795, 582, 1524, 707, 2093, 543, 10891, 873, 269, 1677, 1711, 513, 6516, 267, 2328, 707, 1888, 538, 519, 1647, 540, 707, 2985, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12001, 10647, 6106, 269, 9282, 519, 14041, 568, 795, 698, 3022, 267, 519, 13250, 540, 6106, 2164, 538, 2531, 539, 3889, 602, 4755, 547, 18613, 519, 25487, 6438, 3889, 824, 3173, 723, 1044, 3384, 585, 1582, 268, 2193, 22135, 7252, 269, 1323, 3773, 4494, 540, 28920, 11131, 6675, 2306, 519, 2281, 5176, 2706, 5139, 5268, 11131, 281, 1216, 20256, 5066, 2059, 519, 2627, 267, 17444, 7452, 2476, 609, 873, 563, 4322, 6289, 617, 727, 3889, 711, 1152, 1065, 601, 1216, 267, 855, 948, 15972, 1769, 269, 5221, 789, 2461, 865, 1507, 1700, 12671, 476, 4335, 6289, 18852, 538, 8006, 1700, 1492, 6289, 617, 2345, 2170, 609, 1769, 538, 513, 3579, 1259, 267, 21716, 476, 11463, 2600, 540, 782, 1769, 689, 519, 18342, 547, 519, 22292, 269, 589, 6366, 3859, 1591, 1500, 689, 519, 1482, 2326, 25309, 1152, 476, 4792, 2600, 540, 1769, 538, 519, 1482, 3376, 8552, 269, 1924, 2484, 519, 2949, 1379, 7503, 4398, 540, 519, 2281, 568, 476, 276, 269, 280, 2600, 269, 634, 1291, 11001, 267, 18628, 2326, 2257, 7548, 962, 328, 595, 14241, 267, 3081, 891, 1273, 614, 940, 2553, 1223, 581, 4294, 547, 824, 3859, 2326, 269, 901, 960, 568, 4330, 2228, 538, 519, 4760, 30594, 16707, 563, 10481, 32015, 670, 15586, 6645, 721, 1946, 646, 779, 1631, 18901, 540, 519, 10509, 646, 5280, 1628, 454, 14881, 723, 10393, 23564, 1250, 5784, 593, 2436, 891, 1919, 616, 2469, 547, 581, 811, 10995, 982, 721, 3034, 30942, 16821, 568, 2469, 547, 1689, 2069, 267, 711, 6861, 621, 454, 763, 2239, 1472, 32533, 1053, 3085, 1406, 2995, 519, 2898, 1650, 269, 20821, 519, 3610, 945, 1589, 30462, 3642, 1223, 2965, 1118, 1565, 1732, 563, 25603, 519, 1004, 945, 946, 3502, 542, 547, 1544, 741, 2898, 2729, 454, 763, 9036, 1907, 779, 9029, 11498, 2484, 3564, 12180, 960, 3785, 269, 3509, 3755, 1265, 621, 779, 1175, 607, 3730, 585, 5883, 741, 1863, 942, 563, 13981, 547, 3009, 3884, 1406, 2614, 454, 30399, 267, 1451, 3562, 2275, 1712, 3646, 723, 3177, 3255, 585, 519, 1906, 267, 855, 1007, 3646, 616, 17935, 547, 581, 8537, 563, 7476, 519, 5767, 10311, 689, 454, 300, 3951, 5303, 5623, 454, 20524, 2027, 3091, 267, 1283, 2984, 267, 14232, 2621, 267, 543, 811, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 611, 2381, 272, 269, 1440, 633, 331, 1137, 20481, 1440, 633, 331, 1137, 3890 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17690, 538, 10370, 976, 267, 5333, 269, 898, 4667, 602, 5728, 7239, 941, 6537, 547, 13085, 8186, 899, 9932, 24643, 10987, 256, 1656, 7058, 1018, 286, 3807, 899, 19656, 28615, 2142, 2044, 267, 16629, 534, 13960, 5206, 14916, 827, 6154, 655, 21863, 2429, 1010, 1082, 1568, 780, 3383, 972, 596, 723, 621, 1107, 1079, 6909, 2984, 689, 1715, 3840, 4975, 781, 2250, 543, 3564, 269, 1452, 7415, 2043, 6961, 602, 3006, 267, 5168, 666, 8197, 581, 24928, 982, 5708, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20055, 2725, 19321, 744, 7838, 19534, 8627, 26008, 2336, 1103, 476, 6642, 280, 729, 4535, 538, 17857, 4975, 267, 17834, 7935, 15030, 718, 864, 2142, 2044, 267, 20366, 834, 763, 1158, 781, 7454, 589, 2758, 257, 538, 476, 4350, 275, 676, 519, 4139, 18289, 16514, 1401, 6570, 693, 24131, 267, 7977, 269, 7935, 269, 2142, 2044, 10443, 2476, 689, 1753, 607, 513, 1126, 547, 1831, 606, 17707, 26519, 9357, 513, 2235, 639, 269, 3571, 1101, 2816, 538, 8874, 729, 607, 513, 4775, 791, 3205, 1807, 269, 1261, 2968, 7074, 585, 1010, 1915, 5107, 269, 7935, 269, 2142, 2044, 20705, 547, 2349, 2033, 344, 561, 17690, 476, 27244, 540, 9628, 267, 14889, 267, 4371, 513, 476, 3953, 2554, 269, 589, 3008, 305, 267, 543, 20705, 547, 519, 1744, 9068, 269, 1261, 5747, 4989, 476, 1839, 267, 476, 3707, 280, 563, 1103, 476, 15094, 276, 693, 24131, 267, 7977, 267, 729, 4535, 7935, 269, 16902, 990, 28839, 717, 13519, 27622, 717, 12637, 30790, 16629, 534, 13960, 630, 528, 267, 16629, 534, 13960, 632, 1530, 532, 5306, 1070, 9976, 7969, 5856, 267, 7172, 4115, 267, 15599, 663, 19907, 267, 7045, 337, 267, 887, 326, 826, 267, 20759, 4115, 267, 17199, 543, 22342, 269, 18004, 547, 513, 1920, 540, 11051, 646, 729, 13473, 585, 519, 17913, 11856, 267, 6029, 5140, 2247, 543, 18854, 267, 2394, 646, 729, 30461, 585, 23215, 601, 748, 2623, 269, 1261, 9411, 6154, 655, 21863, 538, 10370, 976, 538, 476, 11260, 271, 269, 634, 14958, 1185, 2647, 9029, 585, 1864, 585, 1010, 12591, 616, 4904, 609, 8100, 547, 6154, 655, 21863, 267, 1443, 2358, 782, 2367, 7143, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 6124, 3840, 4975, 781, 7216, 13012, 257, 607, 851, 540, 834, 16300, 13493, 1315, 3778, 1315, 2136, 2276, 1315, 3557, 1299, 10871, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 476, 272, 269, 272, 9502, 540, 5398, 9314, 5303, 692, 5970, 596, 2479, 11074, 547, 1589, 827, 875, 2029, 5540, 938, 3232, 2729, 286, 3245, 519, 4090, 649, 12687, 909, 2394, 649, 979, 547, 5127, 267, 649, 2170, 609, 782, 12204, 540, 4066, 1107, 689, 16389, 543, 5904, 547, 6808, 8279, 543, 6173, 2209, 269, 1809, 1018, 4523, 950, 891, 2645, 2014, 2800, 610, 28511, 8635, 286, 2334, 779, 1141, 1857, 1719, 2029, 2501, 538, 780, 14276, 1719, 2029, 630, 303, 3951, 264, 568, 606, 15834, 2361, 602, 10905, 2930, 6791, 609, 1514, 5126, 2418, 547, 2232, 10296, 6848, 2152, 269, 898, 3322, 1210, 2029, 607, 513, 1907, 585, 1434, 267, 4180, 602, 3025, 814, 12581, 1569, 547, 922, 2640, 269, 623, 3951, 9439, 960, 593, 3785, 8151, 689, 3384, 3015, 7270, 585, 1004, 609, 9124, 547, 2870, 6620, 602, 8396, 2228, 18275, 269, 1358, 849, 12167, 585, 4507, 602, 3895, 5683, 10509, 2853, 267, 971, 607, 1239, 7834, 6042, 543, 3743, 3642, 1646, 780, 4131, 779, 2736, 1524, 930, 1883, 2474, 538, 519, 4214, 1384, 265, 2878, 11328, 13694, 4995, 623, 3951, 14405, 2390, 1702, 543, 1983, 689, 1585, 4610, 267, 1519, 2780, 2257, 267, 1374, 267, 15257, 267, 3609, 267, 543, 7881, 269, 901, 11455, 1935, 2636, 9439, 547, 10994, 1950, 2042, 676, 6236, 2789, 5380, 563, 265, 2878, 20007, 673, 16869, 1047, 4995, 1677, 3927, 4019, 2029, 2509, 2318, 1689, 267, 835, 1590, 1174, 922, 5817, 3741, 543, 7687, 269, 14502, 4966, 949, 4865, 5752, 1983, 267, 6310, 19038, 3363, 267, 610, 23440, 609, 8800, 3334, 269, 1717, 267, 789, 1058, 849, 5431, 741, 1378, 12886, 543, 11441, 547, 1451, 689, 3309, 16752, 563, 265, 2878, 12892, 10456, 18880, 4995, 2311, 922, 4295, 267, 623, 3951, 6663, 547, 2699, 816, 1379, 20817, 543, 4434, 9698, 269, 31943, 619, 4225, 12790, 2950, 685, 2115, 267, 4161, 11528, 15746, 267, 543, 10575, 3424, 9739, 1419, 16934, 689, 2757, 10509, 5624, 269, 1452, 2418, 1217, 1169, 2460, 540, 741, 960, 267, 689, 1788, 17748, 547, 6388, 563, 265, 2878, 303, 7675, 5081, 13926, 12983, 4995, 8693, 1689, 267, 3782, 13103, 267, 7292, 21440, 267, 543, 3059, 7941, 616, 1175, 513, 1906, 2591, 9619, 676, 623, 3951, 269, 1635, 2519, 593, 1483, 8996, 4145, 267, 9439, 2327, 741, 3646, 2611, 4143, 543, 26374, 780, 2414, 9414, 519, 2956, 540, 623, 3951, 267, 2015, 519, 1739, 9183, 281, 5994, 596, 616, 851, 540, 513, 2319, 8888, 513, 5985, 813, 5921, 547, 948, 3755, 1265, 10097, 8027, 3681, 538, 741, 2749, 269, 9453, 7311, 513, 623, 3951, 7828, 267, 596, 1522, 1445, 9003, 593, 10342, 267, 10714, 532, 2629, 2188, 899, 3593, 22097, 543, 1761, 7496, 547, 1569, 269, 1717, 267, 6220, 1514, 5126, 2418, 883, 707, 1374, 1184, 1223, 1291, 596, 547, 1384, 265, 18430, 1382, 593, 799, 16973, 1995, 2362, 3928, 540, 8425, 30826, 543, 12761, 267, 1287, 4225, 18071, 1592, 902, 972, 563, 265, 3550, 519, 813, 7028, 2789, 4654, 267, 1818, 621, 26729, 585, 1875, 30165, 10529, 945, 3068, 3606, 9465, 4466, 8027, 563, 265, 19308, 5955, 17787, 865, 3755, 666, 1867, 538, 3147, 340, 20874, 610, 30907, 1870, 2853, 1369, 7396, 3601, 267, 16779, 873, 547, 3180, 28867, 3581, 18177, 780, 3528, 16042, 713, 1966, 998, 513, 623, 3951, 5943, 267, 596, 711, 1152, 1711, 513, 811, 2500, 3070, 855, 849, 3565, 547, 6626, 3853, 540, 14619, 543, 13784, 780, 1103, 5758, 267, 1857, 1719, 2029, 568, 606, 3078, 2361, 602, 12388, 525, 6639, 1035, 18210, 609, 1514, 5539, 269, 3414, 4294, 1806, 543, 2565, 3206, 5751, 267, 2104, 11271, 786, 5490, 4514, 883, 1808, 2013, 2090, 15386, 623, 3951, 538, 2962, 269, 1924, 3251, 22934, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 14276, 9314, 15306, 281, 8865, 5525, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 272, 269, 9502, 540, 1857, 1719, 2029, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269, 0, 8080, 547, 938, 1007, 3184, 782, 827, 7756, 7007, 19019, 256, 901, 1797, 602, 649, 2811, 2469, 547, 1451, 827, 3450, 2409, 602, 948, 3025, 538, 519, 4928, 267, 1100, 2339, 1018, 741, 9342, 610, 12755, 949, 581, 269, 1284, 899, 547, 1589, 540, 713, 607, 1373, 899, 513, 15705, 2319, 910, 1175, 607, 1169, 5869, 814, 2189, 7060, 267, 1142, 835, 540, 596, 814, 707, 1378, 2027, 1259, 540, 1565, 256, 3776, 2816, 607, 7855, 568, 547, 5431, 891, 3604, 543, 4188, 938, 4245, 9935, 780, 4131, 781, 1376, 676, 6158, 827, 1018, 15285, 3884, 1405, 269, 898, 3085, 1405, 1611, 8156, 930, 3214, 1732, 982, 1866, 610, 4758, 873, 4443, 960, 269, 5502, 267, 621, 781, 827, 9301, 602, 1004, 723, 1114, 2115, 950, 621, 2501, 547, 1565, 267, 543, 4466, 2081, 547, 1489, 1346, 1367, 4170, 780, 3086, 267, 1577, 781, 1413, 693, 606, 1383, 269, 5994, 596, 2811, 4730, 513, 3381, 3014, 1141, 596, 666, 3442, 1063, 1614, 3197, 281, 513, 3728, 27460, 267, 513, 2178, 25142, 267, 543, 513, 15931, 2054, 626, 269, 3962, 1915, 4249, 8335, 543, 608, 26118, 538, 1978, 2127, 1247, 10010, 538, 1866, 269, 1677, 3094, 519, 3014, 267, 596, 991, 547, 946, 1142, 1915, 781, 9342, 3927, 269, 4804, 1568, 1454, 519, 1482, 1259, 1107, 649, 782, 723, 938, 1378, 1412, 27273, 335, 10183, 10086, 855, 3006, 649, 1522, 991, 3063, 948, 538, 824, 2127, 780, 3383, 267, 875, 798, 3610, 4019, 21630, 6044, 538, 519, 4928, 286, 1703, 616, 1896, 2994, 789, 666, 946, 1384, 272, 269, 2878, 293, 2716, 1043, 1895, 902, 4995, 11334, 949, 1689, 27939, 12417, 610, 7649, 1053, 1927, 4470, 593, 519, 2534, 269, 1280, 3236, 267, 1282, 2542, 942, 267, 513, 4116, 1223, 6292, 513, 8746, 5467, 609, 2576, 945, 9060, 2542, 811, 4101, 269, 1358, 666, 1287, 1491, 7140, 8026, 741, 1983, 563, 273, 269, 2878, 307, 328, 1229, 10467, 4995, 570, 3696, 2966, 609, 2789, 2157, 540, 7411, 1450, 1053, 547, 4497, 25006, 2687, 547, 741, 5759, 269, 589, 2241, 4305, 1522, 4125, 21458, 2694, 540, 513, 4786, 267, 6466, 513, 1950, 4528, 1223, 2154, 7421, 3140, 2621, 4448, 547, 1808, 6753, 563, 274, 269, 2878, 24868, 539, 2200, 4995, 4635, 3309, 2326, 3032, 619, 547, 1114, 1565, 6163, 269, 10439, 6267, 1522, 4324, 689, 7044, 267, 8642, 9089, 267, 610, 12222, 267, 1247, 17391, 6267, 4782, 27143, 610, 5717, 269, 20943, 20469, 630, 327, 1343, 6823, 264, 6267, 2972, 6901, 267, 1909, 25178, 532, 2238, 267, 610, 2679, 3631, 563, 275, 269, 2878, 3849, 3286, 906, 585, 10605, 4995, 2368, 1053, 9787, 2035, 3533, 267, 1247, 1866, 991, 811, 942, 269, 1635, 3246, 3255, 585, 2689, 610, 10137, 267, 3610, 2327, 3025, 13978, 7722, 269, 1280, 1383, 267, 4359, 1053, 1223, 5490, 4514, 883, 513, 1888, 998, 1382, 3785, 267, 1247, 1346, 17596, 3606, 2259, 1223, 4396, 1518, 741, 1620, 3842, 17118, 610, 3756, 563, 276, 269, 2878, 13528, 894, 10526, 4995, 8617, 2638, 15564, 1683, 3407, 5955, 585, 1312, 3610, 543, 1053, 269, 1452, 2656, 20241, 2697, 20887, 2038, 865, 602, 3610, 666, 2232, 873, 30082, 269, 6201, 1331, 14827, 17914, 267, 555, 29304, 5346, 270, 628, 29304, 16365, 1135, 3149, 267, 610, 5618, 2854, 18759, 780, 3528, 6220, 21630, 6044, 2553, 267, 13460, 1831, 6422, 5624, 1141, 1169, 15226, 7959, 12595, 543, 6462, 269, 5457, 267, 1175, 899, 938, 5172, 27568, 267, 1142, 835, 540, 721, 6770, 1945, 2189, 547, 519, 3349, 269, 1656, 950, 649, 9784, 1346, 3604, 267, 5863, 1919, 666, 4755, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 1772, 14847, 1890, 6261, 3234, 3320, 1759, 4065, 543, 1565, 888, 4467, 7065, 1890, 2861, 6140, 18375, 267, 849, 4857, 607, 595, 23813, 610, 17117, 2861, 6140, 2069, 543, 1565, 267, 6212, 593, 4930, 8223, 4244, 569, 982, 8574, 540, 942, 269, 9282, 7363, 8678, 547, 3152, 6044, 1949, 267, 1082, 2829, 616, 9750, 519, 1246, 693, 519, 10026, 543, 6281, 9830, 269, 4340, 547, 519, 909, 547, 4266, 4214, 689, 634, 29457, 7702, 4659, 267, 972, 616, 476, 278, 2511, 543, 1374, 2035, 585, 595, 23813, 538, 918, 268, 1321, 912, 268, 4841, 1118, 1142, 1554, 8753, 827, 741, 4974, 543, 875, 789, 786, 8858, 621, 454, 268, 10495, 11729, 1134, 31764, 267, 6209, 267, 543, 29829, 1344, 543, 5013, 454, 268, 32113, 568, 1134, 31764, 543, 21630, 10704, 593, 2852, 2875, 13821, 454, 268, 29923, 6788, 616, 7928, 267, 2769, 267, 22905, 267, 543, 4483, 762, 454, 268, 24054, 568, 11251, 538, 519, 4070 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 269, 6321, 280, 454, 6321, 269, 280, 30515, 15008, 912, 2414, 6460, 17447, 547, 21159, 2676, 320, 8918, 1297, 547, 6460, 1312, 519, 2898, 1297, 543, 8918, 851, 540, 519, 1297, 547, 513, 2600, 1871, 563, 11372, 17586, 676, 476, 1911, 547, 6460, 513, 1297, 689, 8918, 547, 2600, 1287, 1039, 513, 2600, 1129, 4939, 563, 2414, 6460, 476, 271, 269, 6321, 280, 547, 2600, 649, 27682, 476, 271, 269, 6321, 280, 538, 2474, 540, 968, 704, 476, 1911, 892, 610, 936, 476, 1911, 563, 11372, 17586, 476, 271, 269, 6321, 280, 676, 476, 1911, 270, 1911, 269, 4595, 476, 1911, 270, 1911, 815, 476, 272, 2676, 933, 616, 1152, 14921, 676, 476, 272, 543, 711, 4657, 519, 1871, 540, 938, 1297, 563, 271, 269, 6321, 280, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 6321, 269, 3445, 2410, 1911, 6525, 815, 476, 6321, 269, 3445, 14999, 3383, 267, 476, 271, 269, 6321, 280, 815, 476, 6321, 269, 3445, 30515, 9223, 476, 1015, 563, 269, 15886, 280, 454, 4200, 269, 4200, 30515, 15008, 912, 2414, 6460, 17447, 547, 21159, 2676, 320, 8918, 1297, 547, 6460, 1312, 519, 2898, 1297, 543, 8918, 851, 540, 519, 1297, 547, 513, 2600, 1871, 563, 11372, 17586, 676, 476, 1911, 547, 6460, 513, 1297, 689, 8918, 547, 2600, 1287, 1039, 513, 2600, 1129, 4939, 563, 2414, 6460, 476, 271, 269, 15886, 280, 547, 2600, 649, 27682, 476, 271, 269, 15886, 280, 538, 2474, 540, 968, 704, 476, 1911, 892, 610, 936, 476, 1911, 563, 11372, 17586, 476, 271, 269, 15886, 280, 676, 476, 1911, 270, 1911, 269, 4595, 476, 1911, 270, 1911, 815, 476, 272, 2676, 933, 616, 1152, 14921, 676, 476, 272, 543, 711, 4657, 519, 1871, 540, 938, 1297, 563, 271, 269, 15886, 280, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 4200, 269, 4200, 2410, 1911, 6525, 815, 476, 4200, 269, 4200, 454, 3383, 267, 476, 271, 269, 15886, 280, 815, 476, 4200, 269, 4200, 30515, 9223, 476, 1556, 563, 271, 269, 9826, 272, 454, 271, 269, 1556, 30515, 15008, 912, 2414, 6460, 17447, 547, 21159, 2676, 320, 8918, 1297, 547, 6460, 1312, 519, 2898, 1297, 543, 8918, 851, 540, 519, 1297, 547, 513, 2600, 1871, 563, 11372, 17586, 676, 476, 1911, 547, 6460, 513, 1297, 689, 8918, 547, 2600, 1287, 1039, 513, 2600, 1129, 4939, 269, 2414, 6460, 476, 271, 269, 9826, 272, 547, 2600, 649, 27682, 476, 271, 269, 9826, 272, 538, 2474, 540, 968, 704, 476, 1911, 892, 610, 936, 476, 1911, 563, 11372, 17586, 476, 271, 269, 9826, 272, 676, 476, 1911, 270, 1911, 269, 4595, 476, 1911, 270, 1911, 815, 476, 272, 2676, 933, 616, 1152, 14921, 676, 476, 272, 543, 711, 4657, 519, 1871, 540, 938, 1297, 563, 271, 269, 9826, 272, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 271, 269, 1556, 2410, 1911, 6525, 815, 476, 271, 269, 1556, 14999, 3383, 267, 476, 271, 269, 9826, 272, 815, 476, 271, 269, 1556, 30515, 9223, 476, 1321, 563, 274, 269, 16328, 276, 454, 27123, 269, 3393, 30515, 15008, 912, 2414, 6460, 17447, 547, 21159, 2676, 320, 8918, 1297, 547, 6460, 1312, 519, 2898, 1297, 543, 8918, 851, 540, 519, 1297, 547, 513, 2600, 1871, 563, 11372, 17586, 676, 476, 1911, 547, 6460, 513, 1297, 689, 8918, 547, 2600, 1287, 1039, 513, 2600, 1129, 4939, 563, 2414, 6460, 476, 274, 269, 16328, 276, 547, 2600, 649, 27682, 476, 274, 269, 16328, 276, 538, 2474, 540, 968, 704, 476, 1911, 892, 610, 936, 476, 1911, 563, 11372, 17586, 476, 274, 269, 16328, 276, 676, 476, 1911, 270, 1911, 269, 4595, 476, 1911, 270, 1911, 815, 476, 272, 2676, 933, 616, 1152, 14921, 676, 476, 272, 543, 711, 4657, 519, 1871, 540, 938, 1297, 563, 274, 269, 16328, 276, 1109, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 27123, 269, 3393, 2410, 1911, 6525, 815, 476, 27123, 269, 3393, 14999, 3383, 267, 476, 274, 269, 16328, 276, 815, 476, 27123, 269, 3393, 30515, 9223, 476, 1724, 563, 4200, 269, 4200, 454, 15886, 280, 30515, 15008, 912, 2414, 6460, 17447, 547, 21159, 2676, 320, 8918, 1297, 547, 6460, 1312, 519, 2898, 1297, 543, 8918, 851, 540, 519, 1297, 547, 513, 2600, 1871, 563, 11372, 17586, 676, 476, 1911, 547, 6460, 513, 1297, 689, 8918, 547, 2600, 1287, 1039, 513, 2600, 1129, 4939, 563, 2414, 6460, 476, 4200, 269, 4200, 547, 2600, 649, 27682, 476, 4200, 269, 4200, 538, 2474, 540, 968, 704, 476, 1911, 892, 610, 936, 476, 1911, 563, 11372, 17586, 476, 4200, 269, 4200, 676, 476, 1911, 270, 1911, 269, 4595, 476, 1911, 270, 1911, 815, 476, 272, 2676, 933, 616, 1152, 14921, 676, 476, 272, 543, 711, 4657, 519, 1871, 540, 938, 1297, 563, 4200, 269, 4200, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 15886, 280, 2410, 1911, 6525, 815, 476, 15886, 280, 14999, 3383, 267, 476, 4200, 269, 4200, 815, 476, 15886, 280, 30515, 9223, 476, 1691, 563, 269, 11260, 27898, 276, 4281, 454, 1704, 269, 27898, 4649, 278, 279, 30515, 15008, 912, 2414, 6460, 17447, 547, 21159, 2676, 320, 8918, 1297, 547, 6460, 1312, 519, 2898, 1297, 543, 8918, 851, 540, 519, 1297, 547, 513, 2600, 1871, 563, 11372, 17586, 676, 476, 1911, 547, 6460, 513, 1297, 689, 8918, 547, 2600, 1287, 1039, 513, 2600, 1129, 4939, 563, 2414, 6460, 1547, 11260, 27898, 276, 4281, 547, 2600, 649, 27682, 1547, 11260, 27898, 276, 4281, 538, 2474, 540, 968, 704, 476, 1911, 892, 610, 936, 476, 1911, 563, 11372, 17586, 1547, 11260, 27898, 276, 4281, 676, 476, 1911, 270, 1911, 269, 4595, 476, 1911, 270, 1911, 815, 476, 272, 2676, 933, 616, 1152, 14921, 676, 476, 272, 543, 711, 4657, 519, 1871, 540, 938, 1297, 563, 269, 11260, 27898, 276, 4281, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 1704, 269, 27898, 4649, 278, 279, 2410, 1911, 6525, 815, 476, 1704, 269, 27898, 4649, 278, 279, 14999, 3383, 267, 476, 271, 269, 11260, 27898, 276, 4281, 815, 476, 1704, 269, 27898, 4649, 278, 279, 30515, 9223, 476, 1428, 563, 269, 6942, 454, 1240, 269, 278, 30515, 15008, 912, 2414, 6460, 17447, 547, 21159, 2676, 320, 8918, 1297, 547, 6460, 1312, 519, 2898, 1297, 543, 8918, 851, 540, 519, 1297, 547, 513, 2600, 1871, 563, 11372, 17586, 676, 476, 1911, 547, 6460, 513, 1297, 689, 8918, 547, 2600, 1287, 1039, 513, 2600, 1129, 4939, 563, 2414, 6460, 1547, 6942, 547, 2600, 649, 27682, 1547, 6942, 538, 2474, 540, 968, 704, 476, 1911, 892, 610, 936, 476, 1911, 563, 11372, 17586, 1547, 6942, 676, 476, 1911, 270, 1911, 269, 4595, 476, 1911, 270, 1911, 815, 476, 272, 2676, 933, 616, 1152, 14921, 676, 476, 272, 543, 711, 4657, 519, 1871, 540, 938, 1297, 563, 269, 6942, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 1240, 269, 278, 2410, 1911, 6525, 815, 476, 1240, 269, 278, 14999, 3383, 267, 476, 271, 269, 6942, 815, 476, 1240, 269, 278, 30515, 9223, 476, 1626, 563, 269, 9262, 454, 271, 269, 9262, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 9262, 2410, 1911, 6525, 815, 476, 9262, 260, 0, 298, 7568, 2795, 7851, 692, 258, 31016, 2795, 7851, 692, 1012, 31016, 2795, 7851, 692, 268, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 661, 715, 667, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 20620, 7462, 19809, 3690, 5296, 692, 272, 269, 31016, 2795, 7851, 3040, 7831, 942, 649, 4718, 3156, 540, 29491, 7954, 547, 5547, 1374, 269, 3040, 634, 2596, 29491, 4238, 616, 6730, 267, 10758, 543, 10691, 269, 3040, 1452, 4238, 666, 581, 5916, 547, 1106, 1950, 7215, 267, 799, 666, 849, 581, 2047, 12261, 883, 513, 8800, 5547, 269, 3040, 29491, 7223, 2337, 721, 14458, 7215, 543, 11387, 269, 3040, 4653, 649, 3580, 1413, 693, 513, 21370, 4480, 585, 28976, 606, 4082, 883, 513, 8766, 2040, 540, 2472, 263, 5960, 303, 264, 1106, 281, 3040, 1703, 616, 513, 8766, 1297, 540, 1587, 2474, 538, 519, 4082, 269, 3040, 3962, 2165, 814, 513, 8766, 1297, 540, 2148, 1023, 269, 3040, 18065, 30150, 267, 713, 5012, 547, 513, 8766, 1079, 7400, 6388, 269, 11483, 476, 23211, 692, 273, 269, 5623, 281, 9208, 3029, 540, 7215, 3040, 1284, 666, 2328, 7215, 538, 1082, 2081, 267, 855, 930, 2081, 616, 811, 3730, 982, 1866, 3040, 589, 2040, 540, 2472, 630, 306, 8008, 264, 4082, 3568, 281, 3040, 8307, 10758, 630, 8999, 264, 4238, 693, 519, 968, 537, 614, 2865, 892, 1377, 3040, 3962, 2165, 602, 568, 2040, 4364, 1590, 581, 513, 1587, 540, 2148, 1023, 3040, 634, 5413, 568, 602, 1022, 2040, 540, 2472, 4082, 666, 581, 8045, 1210, 513, 1079, 7400, 5547, 3040, 2148, 1023, 543, 741, 1264, 906, 693, 519, 968, 271, 628, 892, 1377, 3040, 6730, 19235, 693, 519, 1101, 1377, 3040, 513, 2582, 10758, 10766, 693, 519, 2034, 1377, 3040, 901, 6516, 3096, 930, 695, 2180, 1343, 2507, 3040, 10691, 19235, 616, 17697, 3040, 2148, 1023, 616, 32419, 3040, 713, 568, 711, 15502, 538, 20603, 17582, 256, 535, 3287, 11971, 267, 345, 264, 815, 586, 685, 1341, 1535, 685, 344, 345, 685, 1341, 1535, 345, 11483, 476, 23211, 692, 274, 269, 12910, 11659, 281, 3687, 614, 916, 3040, 589, 1295, 3410, 568, 513, 2027, 1587, 540, 2148, 1023, 267, 538, 799, 1142, 3403, 4756, 5526, 4010, 2899, 269, 3040, 589, 1599, 609, 562, 4632, 814, 476, 273, 333, 1295, 614, 916, 630, 26238, 1142, 4756, 666, 2408, 1264, 7757, 610, 711, 264, 3040, 589, 1614, 8686, 926, 762, 1599, 267, 971, 607, 535, 3287, 11971, 267, 345, 1070, 814, 476, 2537, 815, 476, 279, 1295, 614, 916, 281, 3040, 3962, 1295, 3410, 568, 3020, 585, 4010, 835, 4999, 540, 11378, 281, 1535, 685, 344, 685, 345, 685, 1535, 685, 344, 685, 345, 1535, 685, 344, 345, 685, 1535, 685, 344, 345, 27976, 685, 345, 685, 27976, 685, 345, 27976, 345, 685, 27976, 345, 3687, 3410, 1772, 3020, 950, 2507, 1744, 2180, 663, 1535, 685, 344, 685, 345, 685, 1535, 284, 271, 267, 586, 284, 271, 267, 1990, 284, 271, 544, 271, 1535, 685, 344, 685, 345, 1535, 284, 271, 267, 586, 284, 271, 267, 1990, 284, 272, 544, 272, 1535, 685, 344, 345, 685, 1535, 284, 271, 267, 586, 284, 272, 267, 1990, 284, 271, 544, 273, 1535, 685, 344, 345, 1535, 284, 271, 267, 586, 284, 272, 267, 1990, 284, 272, 544, 274, 27976, 685, 345, 685, 1535, 284, 272, 267, 586, 284, 271, 267, 1990, 284, 271, 544, 275, 27976, 685, 345, 1535, 284, 272, 267, 586, 284, 271, 267, 1990, 284, 272, 544, 276, 27976, 345, 685, 1535, 284, 272, 267, 586, 284, 272, 267, 1990, 284, 271, 544, 277, 27976, 345, 1535, 284, 272, 267, 586, 284, 272, 267, 1990, 284, 272, 544, 278, 11483, 476, 23211, 692, 275, 269, 12910, 11659, 281, 5681, 540, 1295, 614, 916, 1106, 3040, 5272, 1599, 666, 581, 2854, 607, 513, 2040, 540, 1295, 614, 916, 267, 799, 568, 513, 2027, 2186, 540, 2040, 540, 2472, 1106, 3040, 634, 2040, 540, 1295, 614, 916, 1106, 585, 1022, 1599, 568, 2189, 3040, 1403, 596, 723, 513, 5168, 3349, 585, 513, 1599, 267, 596, 666, 2328, 513, 2040, 540, 1295, 614, 916, 4082, 1175, 676, 16116, 856, 519, 9343, 540, 519, 3349, 1141, 519, 1599, 3977, 568, 476, 272, 269, 535, 815, 1535, 685, 344, 685, 345, 685, 1341, 1535, 685, 344, 685, 345, 1341, 1535, 685, 344, 345, 685, 1341, 1535, 685, 344, 345, 1341, 27976, 345, 685, 815, 544, 271, 1341, 544, 272, 1341, 544, 273, 1341, 544, 274, 1341, 544, 277, 815, 19569, 497, 332, 263, 271, 267, 272, 267, 273, 267, 274, 267, 277, 264, 535, 685, 815, 27976, 685, 345, 685, 1341, 27976, 685, 345, 1341, 27976, 345, 815, 544, 275, 1341, 544, 276, 1341, 544, 278, 815, 19569, 497, 332, 263, 275, 267, 276, 267, 278, 264, 535, 685, 3568, 782, 519, 1295, 614, 916, 711, 538, 535, 11483, 476, 23211, 692, 276, 269, 1234, 268, 1551, 4474, 519, 5168, 3349, 3040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 2641, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1789, 5463, 476, 1220, 279, 267, 476, 6349, 281, 4029, 454, 327, 2125, 1001, 273, 5206, 912, 13729, 476, 272, 7726, 476, 278, 692, 288, 2487, 2689, 540, 2628, 10253, 6920, 602, 16628, 781, 1631, 7118, 606, 3328, 540, 476, 275, 866, 2053, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 3379, 547, 513, 5223, 540, 476, 5655, 2053, 538, 476, 1960, 271, 780, 321, 269, 602, 267, 593, 3328, 267, 16628, 781, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 513, 5223, 602, 19776, 547, 476, 5655, 2053, 563, 322, 269, 602, 267, 593, 3328, 267, 16628, 781, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 607, 3379, 547, 476, 5655, 2053, 741, 2628, 267, 519, 5223, 454, 323, 269, 9460, 334, 781, 945, 1631, 7118, 593, 3328, 476, 275, 866, 942, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 607, 3379, 547, 476, 5655, 2053, 741, 2628, 267, 519, 5223, 454, 324, 269, 16628, 781, 1631, 15980, 606, 3328, 540, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 3379, 547, 519, 5223, 540, 476, 5655, 2053, 692, 289, 849, 692, 257, 785, 6510, 257, 1341, 602, 267, 3976, 267, 3444, 856, 667, 543, 661, 780, 257, 26132, 257, 538, 595, 568, 24813, 267, 621, 4016, 547, 1018, 2496, 288, 568, 513, 25056, 780, 5522, 345, 267, 2022, 519, 29314, 607, 4166, 607, 2009, 454, 29262, 454, 16274, 281, 476, 1240, 2904, 476, 1220, 279, 454, 15803, 281, 476, 12553, 278, 454, 27063, 281, 476, 1691, 692, 20132, 19560, 476, 18231, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1789, 5463, 476, 1220, 279, 267, 476, 6349, 281, 4510, 454, 12640, 342, 27401, 1862, 1955, 11821, 536, 11320, 645, 543, 595, 269, 15987, 645, 4667, 13801, 855, 11214, 538, 645, 267, 513, 5223, 602, 19776, 547, 476, 5655, 2053, 5654, 26101, 269, 4263, 519, 1482, 942, 267, 538, 595, 834, 26132, 257, 568, 10701, 1190, 454, 327, 2125, 1001, 273, 5206, 912, 13729, 476, 272, 7726, 476, 278, 692, 288, 2487, 2689, 540, 2628, 10253, 6920, 602, 16628, 781, 1631, 7118, 606, 3328, 540, 476, 275, 866, 2053, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 3379, 547, 513, 5223, 540, 476, 5655, 2053, 538, 476, 1960, 271, 780, 321, 269, 602, 267, 593, 3328, 267, 16628, 781, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 513, 5223, 602, 19776, 547, 476, 5655, 2053, 563, 322, 269, 602, 267, 593, 3328, 267, 16628, 781, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 607, 3379, 547, 476, 5655, 2053, 741, 2628, 267, 519, 5223, 454, 323, 269, 9460, 334, 781, 945, 1631, 7118, 593, 3328, 476, 275, 866, 942, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 607, 3379, 547, 476, 5655, 2053, 741, 2628, 267, 519, 5223, 454, 324, 269, 16628, 781, 1631, 15980, 606, 3328, 540, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 3379, 547, 519, 5223, 540, 476, 5655, 2053, 454, 12421, 454, 16274, 281, 476, 1839, 2904, 476, 1220, 279, 454, 15803, 281, 476, 5379, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 2641, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 5400, 3967, 476, 1220, 280, 267, 476, 1724, 281, 5392, 692, 7717, 787, 585, 27764, 515, 8488, 538, 16253, 514, 13718, 24392, 708, 1869, 11821, 1063, 536, 543, 524, 8885, 454, 14483, 9906, 454, 16274, 281, 476, 5400, 3967, 476, 1220, 280, 454, 15803, 281, 476, 30444, 454, 29479, 476, 272, 281, 476, 278, 3583, 1627, 2004, 966, 5379, 454, 27063, 281, 476, 2190, 692, 20132, 19560, 476, 14338, 1496, 271, 3910, 2016, 281, 476, 278, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6021, 3967, 476, 1220, 280, 267, 476, 1240, 281, 5881, 454, 290, 568, 9090, 711, 2953, 269, 2290, 5223, 568, 2487, 543, 835, 568, 538, 476, 1960, 271, 269, 634, 2063, 3787, 267, 834, 1492, 5223, 538, 476, 1960, 271, 2580, 10039, 1152, 547, 519, 3379, 5223, 267, 711, 519, 2898, 3364, 780, 7078, 912, 1607, 1249, 267, 3379, 547, 713, 1249, 267, 693, 713, 4266, 2999, 19203, 2953, 267, 1312, 5013, 9305, 547, 602, 930, 4266, 454, 1607, 2487, 1249, 267, 3379, 547, 713, 1249, 267, 693, 713, 4266, 2999, 19203, 11234, 692, 289, 568, 1732, 1317, 519, 4845, 1631, 14509, 692, 15542, 693, 835, 4266, 267, 3379, 547, 1249, 693, 606, 824, 4266, 780, 28775, 602, 2337, 563, 10048, 4526, 454, 16274, 281, 476, 6860, 3967, 476, 1220, 280, 454, 15803, 281, 476, 25240, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 1556, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1015, 3967, 476, 1220, 280, 267, 476, 1704, 281, 2764, 454, 323, 261, 552, 616, 5693, 856, 563, 320, 568, 856, 1317, 1535, 2053, 811, 2628, 563, 321, 1299, 524, 616, 10169, 16602, 269, 594, 4682, 609, 524, 1317, 594, 1705, 711, 899, 834, 4818, 4100, 547, 257, 538, 536, 563, 9802, 581, 536, 568, 519, 1034, 3617, 563, 6630, 310, 594, 729, 849, 11821, 609, 519, 946, 540, 19980, 23393, 521, 630, 4753, 302, 781, 607, 10353, 547, 9460, 11675, 1916, 327, 2125, 1001, 273, 5206, 912, 13729, 476, 272, 7726, 476, 278, 692, 288, 2487, 2689, 540, 2628, 10253, 6920, 602, 16628, 781, 1631, 7118, 606, 3328, 540, 476, 275, 866, 2053, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 3379, 547, 513, 5223, 540, 476, 5655, 2053, 538, 476, 1960, 271, 780, 321, 269, 602, 267, 593, 3328, 267, 16628, 781, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 513, 5223, 602, 19776, 547, 476, 5655, 2053, 563, 322, 269, 602, 267, 593, 3328, 267, 16628, 781, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 607, 3379, 547, 476, 5655, 2053, 741, 2628, 267, 519, 5223, 454, 323, 269, 9460, 334, 781, 945, 1631, 7118, 593, 3328, 476, 275, 866, 942, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 607, 3379, 547, 476, 5655, 2053, 741, 2628, 267, 519, 5223, 454, 324, 269, 16628, 781, 1631, 15980, 606, 3328, 540, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 3379, 547, 519, 5223, 540, 476, 5655, 2053, 692, 6303, 318, 692, 2411, 9339, 8894, 339, 2313, 541, 341, 330, 692, 10048, 4526, 454, 16274, 281, 476, 2641, 2904, 476, 1220, 280, 454, 15803, 281, 476, 16318, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 866, 1496, 272, 316, 2073, 2016, 281, 476, 2004, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2918, 9484, 476, 1220, 280, 267, 476, 5881, 281, 6321, 454, 272, 454, 298, 11070, 5308, 454, 289, 269, 602, 267, 593, 3328, 267, 16628, 779, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 513, 5223, 602, 19776, 547, 476, 5655, 2053, 454, 290, 269, 602, 267, 593, 3328, 267, 16628, 779, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 607, 3379, 547, 476, 5655, 2053, 741, 2628, 267, 519, 5223, 454, 2562, 595, 607, 3379, 547, 547, 4016, 547, 4544, 2275, 20683, 4600, 855, 711, 547, 634, 22472, 263, 514, 519, 7726, 519, 5223, 1058, 581, 3379, 269, 865, 649, 666, 3362, 9004, 595, 692, 10048, 4526, 454, 16274, 281, 476, 4905, 7325, 476, 1220, 280, 454, 15803, 281, 476, 20720, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 1704, 1496, 271, 3910, 2016, 281, 476, 4375, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2764, 9484, 476, 1220, 280, 267, 476, 6734, 281, 6021, 454, 296, 1589, 713, 2243, 814, 12341, 814, 2907, 1044, 5941, 269, 594, 2161, 661, 780, 1432, 781, 519, 29314, 888, 6303, 318, 692, 13706, 4758, 918, 16997, 952, 596, 899, 519, 2022, 780, 10048, 4526, 454, 16274, 281, 476, 2641, 2904, 476, 1220, 280, 454, 15803, 281, 476, 16318, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 866, 1496, 271, 3910, 2016, 281, 476, 2004, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2764, 9484, 476, 1220, 280, 267, 476, 6734, 281, 1789, 454, 29151, 568, 645, 1775, 1589, 711, 2386, 454, 17445, 528, 454, 16274, 281, 476, 4962, 9947, 476, 1220, 280, 454, 15803, 281, 476, 25616, 454, 25446, 476, 272, 281, 476, 278, 344, 8986, 630, 26296, 7896, 910, 13693, 656, 267, 22601, 994, 27063, 281, 476, 1556, 692, 20132, 19560, 476, 27886, 1496, 271, 3910, 2016, 281, 476, 11793, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2764, 9484, 476, 1220, 280, 267, 476, 5881, 281, 1691, 454, 2005, 781, 513, 17918, 16721, 2243, 269, 29314, 281, 595, 454, 6303, 318, 692, 13706, 737, 16997, 585, 519, 1434, 2022, 4429, 7069, 3181, 4361, 2433, 3460, 268, 277, 3583, 3562, 268, 24798, 268, 336, 2004, 8686, 3607, 17489, 268, 25616, 10695, 11258, 692, 10048, 4526, 454, 1805, 9850, 281, 1018, 649, 1616, 547, 798, 267, 798, 621, 607, 4166, 607, 2009, 454, 16274, 281, 476, 2190, 2904, 476, 1001, 271, 454, 15803, 281, 476, 14625, 454, 19613, 281, 10476, 454, 25446, 476, 272, 281, 476, 276, 269, 271, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 7906, 1496, 272, 316, 2073, 2016, 281, 476, 25628, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6734, 5463, 476, 1001, 271, 267, 476, 6349, 281, 1724, 454, 272, 454, 298, 11070, 5308, 454, 321, 11035, 16660, 753, 5206, 912, 296, 13603, 595, 563, 296, 1810, 1405, 1589, 645, 22621, 6829, 1018, 621, 568, 9236, 269, 595, 267, 4352, 1279, 267, 855, 711, 8209, 2262, 344, 267, 1500, 519, 2953, 6476, 780, 328, 3858, 609, 25381, 16660, 753, 2676, 291, 261, 292, 281, 856, 607, 649, 991, 834, 7474, 257, 1934, 454, 288, 281, 856, 607, 4636, 6476, 454, 24992, 630, 289, 264, 543, 630, 290, 264, 594, 8917, 585, 630, 290, 264, 585, 476, 273, 4128, 912, 268, 1284, 991, 834, 311, 2053, 1945, 257, 855, 711, 834, 311, 2053, 257, 4805, 563, 268, 834, 7474, 19776, 547, 10371, 1701, 568, 26101, 454, 15161, 666, 2161, 834, 26132, 257, 538, 630, 290, 264, 568, 10701, 340, 657, 855, 1775, 21645, 1589, 865, 269, 594, 1589, 621, 1612, 531, 601, 547, 834, 1492, 2628, 540, 4544, 2275, 20683, 4600, 4840, 6303, 318, 692, 13706, 4758, 803, 737, 16997, 952, 596, 1265, 1250, 3137, 5363, 865, 1775, 666, 1451, 875, 547, 2769, 2093, 547, 1004, 811, 24669, 780, 25938, 1640, 15440, 454, 1805, 9850, 281, 2052, 1405, 2285, 909, 454, 16274, 281, 476, 736, 5463, 476, 1220, 280, 454, 15803, 281, 476, 17168, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 2918, 1496, 271, 3910, 2016, 281, 476, 3374, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6734, 5463, 476, 1001, 271, 267, 476, 5400, 281, 6349, 454, 288, 2487, 2689, 540, 2628, 10253, 6920, 602, 16628, 781, 1631, 7118, 606, 3328, 540, 476, 275, 866, 2053, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 3379, 547, 513, 5223, 540, 476, 5655, 2053, 538, 476, 1960, 271, 780, 320, 269, 602, 16628, 781, 1631, 7118, 606, 3328, 540, 476, 275, 866, 2053, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 3379, 547, 513, 5223, 540, 476, 5655, 2053, 910, 602, 543, 2953, 6476, 834, 4818, 1563, 547, 630, 684, 3697, 1919, 264, 4840, 321, 269, 602, 267, 593, 3328, 267, 16628, 781, 1631 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2710, 596, 2479, 7985, 689, 30898, 792, 762, 2589, 1318, 1354, 602, 942, 540, 519, 3923, 286, 4270, 267, 513, 1007, 2551, 2861, 1353, 1700, 3370, 538, 5113, 4139, 1700, 814, 1336, 602, 2713, 2282, 3039, 5624, 1223, 948, 2569, 2589, 540, 840, 2173, 523, 11584, 531, 6794, 267, 610, 623, 5960, 563, 2026, 1082, 607, 1614, 538, 2185, 2021, 1995, 623, 5960, 5829, 2589, 267, 799, 666, 1491, 596, 593, 513, 2168, 543, 3929, 16945, 1723, 2120, 563, 2690, 1296, 267, 2021, 2066, 519, 8608, 723, 6836, 3388, 689, 693, 25571, 14319, 547, 936, 7308, 23716, 11955, 547, 26193, 741, 2589, 1700, 799, 666, 1331, 26533, 267, 7099, 23638, 267, 4160, 267, 14331, 267, 31926, 267, 3207, 2042, 267, 13110, 1145, 267, 543, 811, 563, 3383, 267, 891, 3173, 2808, 519, 2009, 2825, 1764, 593, 2021, 779, 2067, 4783, 563, 7021, 835, 8536, 2021, 1063, 519, 6502, 540, 29933, 543, 17288, 5991, 710, 941, 23500, 538, 713, 1353, 269, 1452, 2021, 5030, 2429, 13785, 543, 16157, 543, 15527, 547, 5619, 2055, 3823, 741, 6197, 6208, 267, 1072, 267, 4087, 267, 543, 519, 2186, 540, 623, 5960, 2589, 602, 789, 4810, 563, 1607, 1353, 568, 519, 1101, 540, 922, 2186, 547, 8495, 519, 2078, 1063, 623, 5960, 543, 3039, 2230, 269, 634, 1353, 1336, 602, 2021, 2713, 2282, 3039, 5624, 616, 1447, 2693, 547, 1995, 7920, 623, 5960, 2589, 563, 5445, 4080, 2348, 1447, 4160, 543, 4965, 267, 2539, 31926, 543, 26533, 267, 543, 1447, 8373, 12008, 563, 4407, 519, 2164, 3280, 9621, 267, 519, 1353, 849, 7074, 602, 596, 1131, 723, 547, 2661, 2282, 513, 3039, 2230, 585, 1034, 540, 707, 1272, 538, 1931, 547, 1995, 519, 2640, 269, 7102, 2110, 3856, 13978, 1131, 711, 3132, 519, 1482, 2164, 563, 763, 2640, 616, 849, 711, 3362, 2491, 762, 269, 1717, 267, 519, 3173, 8263, 602, 2539, 2566, 2157, 538, 891, 5054, 3565, 547, 519, 1447, 2989, 2589, 2094, 789, 616, 5097, 5626, 563, 14294, 909, 585, 932, 760, 19529, 779, 20394, 543, 1205, 2984, 899, 713, 9447, 2786, 547, 707, 28600, 269, 0, 763, 7420, 540, 5771, 454, 1692, 1058, 10271, 4431, 547, 5771, 286, 1284, 11129, 547, 917, 1018, 5771, 568, 267, 543, 713, 2376, 2337, 676, 3168, 693, 6927, 971, 607, 5771, 781, 4930, 540, 5132, 267, 519, 12866, 30346, 1513, 540, 5771, 267, 519, 1747, 540, 17124, 267, 519, 1686, 540, 5771, 1310, 17124, 267, 519, 15878, 262, 534, 267, 543, 519, 1747, 540, 4906, 538, 5771, 269, 3973, 621, 5267, 513, 1259, 547, 4431, 547, 5771, 563, 763, 8771, 11334, 281, 17124, 454, 300, 7795, 13758, 10645, 602, 4906, 729, 835, 540, 519, 28556, 855, 729, 711, 16961, 1881, 269, 1261, 8547, 5771, 543, 1010, 13794, 2968, 1634, 607, 12356, 269, 901, 2376, 12857, 17124, 543, 875, 646, 3765, 21323, 4906, 563, 1432, 5272, 4168, 20126, 547, 5700, 6168, 519, 15878, 262, 534, 1107, 634, 15878, 262, 534, 543, 17124, 540, 2725, 17433, 454, 1103, 3848, 476, 272, 267, 6519, 7710, 519, 5169, 540, 519, 15878, 685, 534, 543, 922, 2078, 547, 17124, 269, 634, 670, 6359, 571, 267, 519, 1772, 571, 267, 543, 519, 21007, 685, 571, 329, 616, 5189, 563, 763, 700, 3581, 1222, 540, 2441, 454, 763, 2376, 27875, 930, 540, 519, 9475, 538, 519, 7440, 540, 519, 9099, 5132, 602, 24693, 4906, 607, 513, 3020, 22445, 540, 2696, 543, 2943, 3954, 625, 1010, 25976, 269, 1703, 568, 513, 4909, 5470, 538, 16561, 1312, 4906, 543, 17124, 607, 3020, 28556, 540, 2696, 269, 0, 21104, 725, 540, 32454, 538, 1546, 22380, 454, 763, 4473, 540, 11670, 543, 519, 9893, 814, 1185, 606, 9565, 1198, 593, 2029, 267, 543, 922, 6286, 585, 2789, 6080, 723, 1044, 1713, 269, 32454, 543, 18228, 8804, 630, 5719, 22380, 264, 616, 519, 1079, 3156, 540, 9893, 602, 723, 4607, 519, 1034, 1719, 269, 23433, 3059, 11113, 723, 2907, 1500, 741, 1665, 593, 1312, 519, 9893, 2146, 543, 519, 2489, 1857, 269, 6301, 569, 585, 946, 538, 11247, 543, 2445, 17156, 269, 32454, 616, 4867, 26405, 547, 5368, 1203, 543, 5372, 835, 540, 519, 4102, 9922, 281, 8804, 563, 5719, 22380, 6127, 11753, 609, 1875, 1922, 2426, 1043, 21797, 547, 1683, 5969, 12967, 2883, 2533, 547, 5561, 269, 32087, 1851, 873, 616, 12029, 267, 28880, 11865, 543, 6142, 269, 5047, 267, 789, 666, 581, 1031, 585, 30393, 15314, 267, 10350, 13359, 543, 18228, 23831, 270, 4011, 8089, 5867, 269, 634, 5137, 540, 513, 2898, 1007, 1158, 540, 23088, 2861, 1546, 22380, 8924, 568, 1500, 2009, 676, 9256, 5691, 21797, 609, 1546, 22380, 10873, 563, 1692, 798, 32454, 2226, 1871, 543, 11753, 609, 1546, 22380, 888, 301, 10499, 338, 723, 12926, 1044, 2404, 609, 1148, 543, 3407, 3615, 269, 5047, 267, 713, 1281, 711, 2061, 873, 689, 13936, 2418, 538, 824, 2081, 269, 11670, 267, 585, 1383, 267, 24283, 1871, 689, 922, 1585, 3156, 563, 1103, 513, 9893, 267, 32454, 2709, 513, 3102, 2626, 547, 2870, 4890, 3059, 26117, 269, 1879, 621, 2501, 547, 2724, 543, 9541, 267, 972, 616, 1082, 1114, 7221, 602, 1683, 1871, 269, 7464, 10040, 543, 2140, 23339, 616, 1806, 563, 1692, 786, 32454, 7520, 1546, 22380, 888, 21607, 1154, 891, 9541, 593, 7302, 664, 607, 3059, 21797, 666, 948, 2226, 519, 2640, 540, 1546, 22380, 779, 15139, 1436, 267, 799, 2488, 2497, 543, 6325, 2081, 547, 1921, 609, 1866, 563, 2690, 1383, 267, 519, 6093, 2344, 585, 5533, 5161, 5097, 540, 18318, 267, 15377, 543, 936, 7308, 23716, 8852, 269, 3962, 11863, 2636, 513, 9138, 2179, 540, 5533, 267, 543, 27121, 609, 30694, 782, 23148, 666, 581, 4421, 547, 824, 3549, 563, 288, 9893, 2861, 1062, 585, 519, 9042, 540, 971, 27121, 786, 1683, 513, 4023, 2344, 602, 2337, 18046, 543, 23965, 1265, 519, 1034, 5078, 3091, 269, 2755, 782, 5533, 14998, 616, 1114, 267, 789, 1683, 513, 8903, 946, 2013, 585, 18351, 1436, 971, 607, 32454, 563, 301, 10499, 779, 2956, 547, 1546, 22380, 563, 5719, 22380, 3156, 585, 32454, 723, 1713, 2150, 11474, 1761, 267, 855, 789, 616, 2907, 538, 946, 538, 519, 1546, 22380, 2344, 563, 11405, 547, 519, 3354, 1966, 454, 1103, 519, 1148, 1158, 267, 513, 1966, 609, 3902, 25359, 568, 513, 3978, 16950, 269, 18421, 568, 7334, 1934, 563, 22428, 513, 4605, 568, 4502, 1269, 272, 2929, 267, 855, 621, 814, 1100, 1871, 2394, 2576, 568, 4712, 547, 4444, 621, 269, 769, 713, 2013, 267, 1546, 22380, 543, 32454, 616, 2324, 1927, 547, 4194, 519, 1966, 269, 634, 4238, 949, 1331, 10478, 585, 2409, 547, 946, 23088, 2445, 17156, 543, 1148, 607, 32097, 585, 1546, 22380, 23831, 269, 25392, 602, 6671, 1148, 814, 1044, 1031, 607, 32097, 538, 519, 1483, 1158, 2094, 922, 2038, 5933, 267, 621, 4667, 9266, 547, 8831, 713, 2259, 547, 519, 15170, 2872, 543, 23088, 1148, 563, 3528, 7311, 18351, 1436, 547, 891, 32454, 267, 621, 849, 2337, 547, 7753, 28880, 2152, 538, 1546, 22380, 269, 570, 7505, 1436, 5787, 919, 519, 5137, 540, 606, 10697, 779, 1871, 269, 1280, 1383, 267, 513, 960, 540, 1148, 602, 666, 3362, 581, 4421, 563, 302, 1233, 11429, 540, 32454, 543, 1546, 22380, 454, 1103, 519, 2575, 2872, 267, 519, 4367, 540, 4347, 328, 5867, 11251, 609, 32454, 4564, 513, 4838, 585, 12372, 269, 23088, 16881, 9562, 2924, 543, 15271, 585, 519, 3312, 15888, 538, 513, 1713, 1259, 269, 15706, 8066, 519, 32454, 786, 4309, 513, 929, 528, 730, 6871, 540, 519, 8964, 685, 18297, 8907, 269, 4825, 8724, 2357, 16666, 4747, 998, 606, 23088, 849, 5713, 607, 513, 3811, 1106, 540, 32097, 543, 666, 1930, 519, 7450, 547, 796, 5913, 3293, 12029, 269, 901, 9744, 568, 4867, 28998, 538, 519, 1219, 328, 1858, 269, 4935, 267, 519, 6228, 540, 23088, 568, 6225, 585, 4347, 328, 2230, 563, 4467, 14293, 1436, 540, 3860, 1568, 3842, 32454, 786, 3136, 547, 19582, 513, 1713, 851, 540, 519, 23088, 2344, 269, 1809, 621, 786, 2693, 1491, 519, 1106, 540, 24416, 267, 10677, 9562, 543, 28370, 4687, 563, 306, 11510, 519, 1966, 609, 519, 7455, 2203, 454, 763, 1259, 23088, 543, 1546, 22380, 960, 1927, 547, 7753, 519, 7455, 2203, 1966, 568, 1776, 4583, 2013, 1141, 23088, 9562, 4249, 513, 2629, 1909, 538, 519, 1546, 22380, 2230, 269, 2290, 540, 519, 18175, 24612, 4347, 328, 16257, 8747, 602, 11368, 519, 7455, 2203, 585, 28880, 20115, 269, 634, 2203, 540, 519, 7455, 729, 2966, 547, 15814, 28880, 936, 519, 3003, 7455, 267, 865, 513, 1713, 13250, 540, 28880, 1705, 711, 1267, 538, 11033, 547, 7426, 563, 4415, 1489, 689, 519, 23088, 2230, 267, 789, 8045, 513, 1907, 585, 28880, 7426, 547, 5659, 741, 3854, 1759, 593, 741, 6074, 2688, 3902, 7306, 269, 901, 4679, 741, 4598, 547, 2877, 7221, 1247, 4227, 741, 17498, 728, 1981, 563, 301, 10499, 338, 2099, 6939, 4919, 21797, 602, 616, 2808, 3407, 1813, 547, 741, 3354, 543, 3747, 269, 1635, 9256, 18228, 2883, 7221, 267, 891, 21797, 666, 581, 1031, 547, 1020, 7463, 2883, 2533, 269, 769, 3766, 877, 19728, 267, 9541, 610, 28880, 10868, 616, 1806, 540, 3498, 2665, 585, 713, 1826, 540, 6639, 5647, 269, 5047, 267, 519, 3252, 602, 32454, 666, 1404, 538, 519, 1546, 22380, 2230, 616, 3970, 1652, 269, 1703, 568, 1869, 811, 547, 1451, 827, 519, 4241, 3785, 547, 2097, 563, 29128, 596, 1174, 602, 32454, 666, 723, 1871, 3564, 741, 1455, 946, 538, 11247, 543, 824, 2445, 17156, 267, 596, 786, 1152, 2253, 547, 5431, 741, 11999, 1761, 269, 1546, 22380, 543, 23088, 616, 1312, 5393, 1007, 4066, 609, 606, 11212, 1279, 1259, 547, 979, 269, 0, 763, 5948, 585, 17270, 7557, 10320, 630, 3722, 300, 264, 9307, 2063, 3018, 602, 7585, 5450, 322, 2788, 324, 568, 519, 18579, 540, 519, 476, 1708, 273, 8028, 300, 589, 8160, 269, 570, 1005, 13815, 585, 519, 8798, 267, 32301, 267, 543, 5010, 1436, 540, 25494, 563, 763, 8028, 300, 2046, 5305, 3288, 644, 338, 519, 25494, 585, 6967, 2221, 968, 1492, 20013, 7154, 540, 1239, 2792, 2223, 543, 585, 18440, 968, 5228, 922, 8129, 1496, 1993, 4557, 476, 273, 269, 11463, 19251, 629, 1080, 829, 2034, 316, 547, 2221, 779, 1617, 580, 580, 629, 527, 12656, 29364, 4390, 1848, 5450, 322, 2788, 324, 568, 26916, 585, 968, 20130, 11972, 5075, 602, 1169, 2780, 2877, 547, 581, 3060, 539, 3034, 1607, 5075, 540, 3060, 539, 5904, 3366, 711, 1152, 547, 513, 13654, 2029, 540, 968, 712, 10562, 1158, 892, 855, 849, 547, 519, 556, 19960, 1456, 540, 2413, 7384, 543, 547, 519, 1964, 31382, 540, 519, 1870, 540, 2413, 7384, 563, 763, 476, 2735, 271, 338, 616, 3592, 24080, 9833, 607, 721, 17518, 538, 519, 1007, 968, 15425, 5736, 2223, 13868, 519, 1292, 18134, 5123, 540, 519, 2872, 269, 654, 3994, 269, 634, 7193, 729, 513, 1292, 18134, 593, 513, 11380, 269, 898, 15069, 8329, 547, 513, 9649, 20014, 538, 3593, 7607, 267, 855, 621, 4797, 519, 1482, 835, 3562, 14633, 3347, 1063, 1004, 543, 5904, 563, 763, 1007, 5123, 538, 519, 4720, 540, 2413, 7384, 729, 711, 519, 7193, 5736, 267, 621, 729, 519, 13033, 5736, 269, 1306, 5450, 322, 2788, 324, 9676, 538, 1018, 3357, 2663, 547, 581, 1634, 607, 968, 18404, 322, 2788, 324, 779, 4521, 2223, 1631, 1344, 8928, 941, 1082, 3562, 2173, 1415, 267, 1101, 609, 2199, 1858, 5121, 630, 28356, 264, 8220, 3842, 519, 25494, 5604, 7193, 338, 267, 543, 2663, 609, 519, 2622, 22453, 5680, 4881, 936, 519, 5769, 267, 8220, 782, 7384, 3457, 3842, 630, 2865, 569, 264, 519, 25494, 543, 922, 8174, 566, 267, 15261, 19712, 563, 4131, 779, 2322, 875, 5450, 322, 2788, 324, 968, 4134, 32152, 892, 519, 2780, 2872, 538, 513, 6626, 3140, 2796, 563, 18658, 814, 2696, 530, 3754, 892, 729, 519, 1101, 5048, 2366, 676, 751, 25393, 593, 2904, 476, 2190, 267, 476, 7277, 275, 267, 543, 609, 621, 267, 15656, 5651, 572, 1185, 9250, 519, 18329, 11416, 269, 901, 729, 519, 840, 3620, 626, 800, 540, 7857, 1436, 267, 1210, 5907, 1797, 547, 7369, 938, 3105, 18765, 540, 942, 543, 2230, 543, 547, 1683, 1007, 9055, 585, 12419, 3377, 267, 1344, 267, 543, 9913, 563, 4002, 4873, 476, 1789, 267, 476, 3707, 276, 267, 3627, 13153, 3026, 30977, 3370, 968, 288, 3689, 30633, 540, 513, 7797, 593, 519, 11581, 309, 3722, 2223, 1572, 676, 12206, 9410, 23720, 11860, 11481, 543, 5261, 1306, 335, 2001, 968, 1492, 6639, 4493, 585, 519, 5001, 2780, 2872, 1848, 1284 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 19152, 476, 276, 2418, 454, 258, 11243, 454, 258, 11754, 816, 454, 258, 23086, 454, 258, 29638, 454, 258, 14630, 1993, 289, 9500, 454, 258, 292, 5554, 2225, 667, 299, 267, 952, 14718, 454, 258, 825, 1820, 707, 23817, 837, 543, 596, 616, 14718, 692, 258, 12648, 3403, 540, 476, 276, 1004, 454, 28744, 1297, 540, 9038, 543, 1297, 540, 8951, 692, 5814, 30220, 7531, 332, 1446, 284, 272, 454, 2745, 2891, 300, 2297, 1297, 14307, 332, 1446, 2020, 852, 815, 30220, 6155, 520, 8135, 269, 852, 4590, 2017, 337, 284, 852, 13885, 792, 454, 28744, 263, 2017, 337, 2020, 258, 11133, 318, 1551, 815, 1592, 4590, 333, 815, 1592, 4590, 320, 815, 1592, 4590, 322, 815, 1592, 4590, 326, 815, 1592, 4590, 323, 815, 1592, 10797, 328, 284, 271, 454, 332, 1446, 284, 271, 454, 325, 332, 284, 271, 454, 1278, 284, 271, 454, 6112, 1775, 283, 273, 912, 825, 562, 272, 284, 6358, 2891, 11767, 8745, 8587, 2433, 19515, 825, 513, 272, 284, 6358, 2891, 11767, 17372, 567, 2433, 19515, 825, 524, 272, 284, 6358, 2891, 11767, 13555, 567, 2433, 19515, 825, 575, 272, 284, 6358, 2891, 11767, 13834, 825, 2433, 19515, 825, 546, 272, 284, 6358, 2891, 11767, 11298, 289, 538, 962, 312, 312, 312, 5336, 300, 5937, 291, 3898, 2433, 19515, 258, 567, 1003, 318, 1551, 6910, 3799, 272, 994, 825, 562, 6910, 3799, 272, 994, 825, 513, 6910, 5416, 272, 994, 825, 524, 6910, 6262, 272, 994, 825, 575, 6910, 14116, 272, 994, 825, 29757, 272, 267, 19282, 272, 267, 1485, 272, 815, 4786, 17301, 28504, 272, 21858, 3488, 268, 29125, 825, 546, 272, 284, 323, 520, 8135, 6155, 622, 263, 10455, 272, 267, 19282, 272, 267, 1485, 272, 11850, 825, 546, 6910, 5560, 272, 994, 825, 952, 14116, 272, 2652, 1412, 300, 262, 2187, 1038, 5256, 23785, 272, 454, 825, 8640, 14116, 272, 2652, 1412, 293, 262, 2187, 1038, 535, 332, 23785, 272, 454, 825, 3116, 912, 1038, 824, 23785, 272, 454, 825, 952, 263, 2017, 337, 1673, 272, 13885, 792, 13843, 1240, 2187, 1038, 1820, 3799, 272, 266, 257, 568, 14718, 585, 667, 299, 609, 3346, 834, 266, 322, 272, 994, 825, 3116, 912, 1038, 1820, 2891, 8253, 10858, 5602, 825, 1775, 23785, 272, 692, 2745, 2891, 10831, 540, 631, 2297, 2433, 14307, 332, 1446, 994, 2745, 2891, 10831, 540, 12339, 2297, 2433, 14307, 325, 332, 994, 2745, 2891, 10831, 540, 11524, 2433, 14307, 1278, 2020, 672, 19638, 7531, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 6129, 9947, 476, 476, 280, 476, 866, 281, 1839, 281, 4510, 476, 1001, 280, 692, 287, 10461, 281, 918, 20084, 9331, 2752, 454, 20701, 3698, 2040, 5416, 14720, 2187, 825, 2132, 513, 17070, 692, 3698, 10208, 5416, 14720, 2187, 825, 2132, 513, 1532, 692, 3698, 9062, 5416, 14720, 2187, 825, 2132, 513, 265, 321, 692, 3698, 7941, 5416, 14720, 284, 272, 2187, 825, 2132, 513, 11486, 692, 3698, 1292, 10031, 825, 2119, 2433, 3097, 1038, 1766, 663, 815, 18011, 263, 3299, 10807, 12887, 270, 12887, 265, 12887, 266, 12887, 268, 5073, 1038, 1820, 2891, 11767, 519, 9819, 5311, 4553, 676, 9373, 2433, 1422, 333, 1230, 2425, 550, 9373, 786, 1439, 707, 9273, 19515, 1038, 513, 815, 10581, 9272, 15405, 1038, 1566, 815, 3403, 4590, 1038, 536, 815, 10581, 9272, 15405, 1038, 1247, 6936, 912, 2018, 952, 630, 641, 538, 1766, 663, 2187, 3546, 952, 630, 641, 2652, 25962, 2187, 7386, 856, 815, 2040, 5416, 14720, 994, 3546, 8640, 630, 641, 2652, 25023, 2187, 7386, 856, 815, 10208, 5416, 14720, 994, 3546, 8640, 630, 641, 2652, 25952, 2187, 7386, 856, 815, 9062, 5416, 14720, 994, 3546, 8640, 630, 641, 2652, 26230, 2187, 7386, 856, 815, 7941, 5416, 14720, 994, 3546, 3116, 912, 7386, 1820, 2891, 1103, 20777, 19515, 2018, 3116, 912, 3546, 1820, 2891, 1103, 20777, 20491, 19515, 2018, 1820, 263, 719, 994, 2018, 513, 815, 856, 454, 2018, 1566, 815, 3403, 4590, 2018, 952, 630, 641, 2652, 15234, 2187, 3546, 1820, 2891, 14188, 596, 5602, 3546, 2736, 454, 2018, 536, 815, 10581, 9272, 15405, 825, 4849, 28759, 912, 1038, 1820, 2891, 19368, 13286, 9373, 22043, 10025, 15419, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 5035, 1268, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 15893, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 8542, 13246, 815, 11713, 1038, 1582, 8542, 13246, 6910, 28840, 2020, 3698, 3406, 17338, 2187, 825, 585, 1004, 538, 1592, 912, 1038, 952, 1004, 20508, 2525, 4067, 912, 2018, 2132, 1004, 454, 825, 3116, 912, 1038, 2132, 7183, 692, 3698, 4159, 17338, 2187, 825, 1820, 3488, 11243, 476, 1923, 476, 715, 9331, 289, 8991, 30386, 825, 1820, 3488, 2411, 268, 5073, 825, 585, 1004, 538, 1592, 912, 1038, 1820, 263, 15161, 20508, 267, 9166, 22207, 15161, 8542, 13246, 2020, 3698, 3406, 318, 4486, 17338, 267, 4486, 2187, 825, 1820, 28361, 333, 5073, 825, 20438, 5332, 1868, 815, 11713, 825, 585, 1004, 538, 1592, 912, 1038, 952, 1883, 538, 1004, 20508, 912, 2018, 20438, 5332, 1868, 6910, 263, 15161, 994, 825, 952, 711, 20438, 5332, 1868, 912, 1038, 1820, 2891, 8587, 2608, 7224, 1268, 1336, 609, 713, 20438, 23528, 825, 3116, 912, 1038, 1820, 2891, 293, 15903, 4408, 616, 607, 2016, 2630, 2437, 994, 1038, 7329, 284, 271, 3248, 1038, 585, 1004, 538, 20438, 5332, 1868, 912, 2018, 1820, 3488, 567, 22207, 573, 266, 272, 267, 9166, 3299, 15161, 20508, 994, 2018, 7329, 23785, 272, 454, 1038, 1820, 28361, 333, 5073, 1038, 562, 321, 815, 703, 9272, 2891, 11767, 1268, 781, 7329, 263, 6518, 568, 2854, 1354, 2012, 264, 547, 1205, 1010, 263, 615, 264, 2338, 2433, 27363, 1038, 1820, 28361, 333, 3299, 4486, 5320, 5332, 1868, 19559, 321, 268, 272, 4940, 4067, 267, 9166, 3299, 4486, 5320, 5332, 1868, 19559, 321, 268, 272, 4940, 11133, 1499, 2020, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 23922, 825, 1592, 815, 11713, 825, 14827, 815, 8771, 454, 825, 942, 815, 476, 272, 454, 825, 1247, 711, 14827, 912, 1038, 1820, 28361, 333, 5073, 1038, 4305, 815, 703, 9272, 3488, 11767, 476, 272, 263, 32697, 3346, 264, 610, 476, 273, 263, 14142, 3346, 264, 610, 476, 274, 263, 2745, 17066, 264, 610, 476, 275, 263, 1410, 527, 264, 2433, 1412, 4917, 1038, 952, 4305, 2525, 272, 912, 2018, 1820, 28361, 333, 5073, 2018, 2012, 815, 3403, 2891, 11767, 8745, 2433, 19515, 2018, 1247, 263, 12148, 2187, 3546, 15406, 815, 3403, 2891, 300, 9394, 7089, 2433, 19515, 3546, 952, 12759, 263, 11586, 264, 2525, 1015, 2187, 7386, 2119, 912, 13376, 15406, 815, 703, 263, 11586, 994, 13376, 2736, 454, 7386, 4849, 28759, 912, 13376, 1820, 2891, 8587, 3502, 513, 1297, 256, 2119, 1586, 23528, 3546, 3116, 912, 7386, 1820, 2891, 672, 2608, 921, 848, 4283, 4570, 1297, 5602, 2018, 15406, 815, 703, 263, 11586, 994, 2018, 1336, 815, 3406, 17338, 994, 2018, 952, 1336, 912, 3546, 1336, 8542, 13246, 6910, 263, 11586, 994, 2018, 3116, 912, 3546, 1592, 6910, 9638, 3205, 28442, 267, 11586, 4917, 2018, 1592, 815, 15044, 17338, 267, 1883, 284, 14433, 6221, 281, 6221, 20508, 6983, 848, 19507, 15405, 1038, 8640, 4305, 2525, 273, 912, 2018, 1820, 28361, 333, 5073, 2018, 1883, 815, 3403, 2891, 11767, 20438, 2433, 5602, 2018, 3406, 318, 4486, 17338, 267, 4486, 994, 1038, 8640, 4305, 2525, 274, 912, 2018, 1820, 28361, 333, 5073, 2018, 952, 17338, 2187, 3546, 4159, 17338, 994, 2018, 3116, 912, 3546, 1820, 2891, 8587, 2608, 23086, 298, 2465, 704, 568, 8900, 5602, 1038, 3116, 912, 2018, 14827, 815, 6936, 0, 3698, 568, 24449, 578, 601, 263, 12072, 8029, 825, 952, 4484, 538, 1412, 2801, 328, 537, 20067, 296, 5495, 262, 6769, 1038, 2132, 6936, 1477, 825, 3116, 6769, 1038, 2132, 8771, 5897, 3698, 1205, 24449, 578, 601, 18045, 263, 874, 19189, 8029, 825, 1293, 815, 476, 271, 1477, 825, 585, 669, 538, 8360, 31573, 28399, 1038, 952, 630, 529, 24449, 578, 601, 263, 577, 264, 8029, 2018, 1293, 6834, 476, 272, 1477, 825, 2132, 1293, 5897, 3698, 1205, 318, 12072, 18045, 263, 874, 19189, 8029, 825, 4484, 18045, 338, 815, 15079, 1477, 825, 585, 669, 538, 8360, 31573, 28399, 1038, 952, 669, 18994, 10401, 28399, 2018, 952, 4484, 18045, 338, 10947, 263, 577, 264, 2652, 7183, 6769, 3546, 4484, 18045, 338, 314, 577, 316, 815, 476, 271, 1477, 2018, 4484, 18045, 338, 314, 577, 316, 6834, 476, 272, 1477, 825, 2132, 4484, 18045, 338, 1477, 0, 5035, 13216, 10831, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1483, 267, 4337, 2187, 1038, 1582, 269, 9418, 815, 1483, 454, 1038, 1582, 269, 19960, 815, 4337, 692, 825, 1219, 6449, 5417, 9191, 1345, 267, 824, 2187, 1038, 1483, 815, 1582, 269, 9418, 1341, 824, 269, 9418, 454, 1038, 4337, 815, 1582, 269, 19960, 1341, 824, 269, 19960, 454, 1038, 2132, 13216, 10831, 263, 9418, 267, 4337, 2020, 825, 1219, 6449, 11357, 9191, 1345, 267, 824, 2187, 1038, 1483, 815, 1582, 269, 9418, 910, 824, 269, 9418, 454, 1038, 4337, 815, 1582, 269, 19960, 910, 824, 269, 19960, 454, 1038, 2132, 13216, 10831, 263, 9418, 267, 4337, 2020, 825, 1219, 6449, 332, 592, 9191, 1345, 267, 824, 2187, 1038, 1483, 815, 1582, 269, 9418, 2608, 824, 269, 9418, 910, 1582, 269, 19960, 2608, 824, 269, 19960, 454, 1038, 4337, 815, 1582, 269, 19960, 2608, 824, 269, 9418, 1341, 1582, 269, 9418, 2608, 824, 269, 19960, 454, 1038, 2132, 13216, 10831, 263, 9418, 267, 4337, 2020, 825, 1219, 6449, 339, 29471, 643, 9191, 1345, 267, 824, 2187, 1038, 1267, 815, 1582, 2608, 13216, 10831, 263, 1278, 269, 9418, 267, 910, 1278, 269, 19960, 994, 1038, 5223, 815, 824, 269, 9418, 2608, 824, 269, 9418, 1341, 824, 269, 19960, 2608, 824, 269, 19960, 454, 1038, 952, 5223, 11203, 476, 271, 912, 2018, 1267, 269, 9418, 1315, 284, 5223, 454, 2018, 1267, 269, 19960, 1315, 284, 5223, 454, 2018, 2132, 1267, 454, 1038, 3116, 912, 2018, 6318, 20023, 19667, 1707, 13286, 2891, 13286, 15419, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 257, 346, 1345, 269, 9418, 348, 1341, 2715, 1345, 269, 19960, 348, 329, 5016, 454, 1260, 14658, 19571, 318, 272, 815, 13216, 10831, 263, 273, 267, 476, 273, 994, 1260, 14658, 19571, 318, 273, 815, 13216, 10831, 263, 272, 267, 476, 275, 994, 1260, 14658, 19571, 318, 274, 815, 1950, 19571, 318, 272, 1341, 1950, 19571, 318, 273, 454, 1260, 14658, 19571, 318, 275, 815, 1950, 19571, 318, 272, 2608, 1950, 19571, 318, 273, 454, 1260, 14658, 19571, 318, 276, 815, 1950, 19571, 318, 272, 1315, 1950, 19571, 318, 273, 454, 2745, 263, 1260, 14658, 19571, 318, 272, 994, 2745, 263, 1260, 14658, 19571, 318, 273, 994, 2745, 263, 1260, 14658, 19571, 318, 274, 994, 2745, 263, 1260, 14658, 19571, 318, 275, 994, 2745, 263, 1260, 14658, 19571, 318, 276, 994, 0, 5035, 3733, 291, 1112, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 2608, 16911, 2187, 1038, 952, 26571, 568, 7183, 912, 2018, 1582, 11519, 18743, 815, 31460, 1038, 3116, 912, 2018, 1582, 11519, 18743, 815, 2715, 330, 281, 642, 585, 737, 267, 642, 538, 26571, 10926, 825, 1219, 6449, 1326, 14403, 9191, 1345, 267, 4994, 2187, 1038, 2132, 1582, 11519, 18743, 27709, 6540, 825, 1219, 6449, 3553, 14403, 9191, 1345, 267, 4994, 267, 1871, 2187, 1038, 1582, 11519, 18743, 27709, 316, 815, 1871, 692, 825, 1219, 1305, 18380, 4311, 267, 9598, 18425, 2187, 1038, 1582, 11519, 18743, 815, 9598, 18425, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1205, 18380, 4311, 2187, 1038, 2132, 1582, 11519, 18743, 692, 825, 1219, 6449, 5417, 9191, 1345, 267, 824, 2187, 1038, 1007, 318, 3240, 18380, 815, 3733, 291, 1112, 4590, 1038, 1007, 318, 3240, 18380, 15630, 18380, 20719, 1262, 1345, 10947, 18380, 267, 2878, 1278, 10947, 18380, 348, 994, 1038, 2132, 1007, 318, 3240, 18380, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 257, 346, 1345, 11519, 18743, 348, 5016, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 9598, 318, 272, 815, 3733, 291, 1112, 263, 2891, 4486, 318, 272, 2580, 476, 9340, 272, 1070, 9497, 4486, 318, 273, 2580, 476, 19442, 273, 4917, 825, 1820, 5560, 1112, 318, 272, 994, 825, 9598, 318, 272, 14277, 4486, 318, 274, 19312, 815, 476, 18357, 274, 454, 825, 1820, 5560, 1112, 318, 272, 994, 825, 9598, 318, 273, 815, 3733, 291, 1112, 4590, 825, 1820, 5560, 1112, 318 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 290, 727, 909, 609, 513, 1906, 8424, 540, 14511, 602, 3406, 585, 519, 1482, 1543, 593, 962, 19834, 855, 267, 609, 11029, 2242, 538, 2262, 532, 267, 2097, 909, 609, 2164, 3833, 1114, 538, 1915, 269, 4595, 649, 666, 1406, 581, 2386, 547, 1205, 519, 1482, 2164, 596, 798, 267, 2995, 721, 1018, 519, 14511, 3132, 543, 1946, 596, 1589, 1346, 4093, 616, 3648, 1114, 269, 0, 5978, 21101, 786, 2689, 602, 799, 596, 4076, 4843, 543, 3313, 2436, 547, 23590, 713, 2376, 563, 268, 30561, 654, 3558, 5525, 1107, 8866, 15610, 630, 288, 2471, 476, 279, 268, 1556, 994, 268, 30561, 18338, 2090, 1107, 9906, 15610, 630, 1417, 3753, 476, 1556, 610, 811, 994, 21946, 655, 18338, 2090, 267, 630, 18907, 476, 15433, 273, 1700, 9802, 476, 15433, 274, 1070, 538, 3345, 7819, 3140, 2250, 267, 513, 1297, 540, 1382, 543, 30201, 1903, 602, 13251, 476, 866, 1336, 16944, 968, 342, 9662, 892, 568, 554, 6548, 543, 1034, 1585, 824, 31268, 3478, 16876, 538, 30561, 2146, 3330, 519, 12590, 7345, 9566, 630, 2431, 1631, 8355, 951, 267, 12590, 1916, 7093, 322, 1047, 569, 1018, 15427, 519, 30561, 18338, 8062, 888, 1103, 3735, 476, 8182, 271, 338, 519, 30561, 22810, 2146, 883, 519, 12590, 575, 5285, 2051, 3415, 630, 9690, 569, 8355, 951, 267, 12590, 264, 729, 9425, 4130, 982, 3328, 4358, 513, 942, 1974, 540, 2042, 609, 2370, 547, 1100, 13338, 5796, 269, 1703, 729, 513, 1514, 7941, 11341, 547, 519, 3056, 2516, 543, 513, 8237, 1063, 2516, 799, 616, 585, 543, 1996, 519, 8498, 779, 18960, 2250, 528, 267, 15656, 623, 1551, 529, 269, 2991, 930, 2370, 6690, 593, 519, 4884, 630, 320, 7008, 540, 873, 6935, 540, 623, 1551, 529, 264, 3323, 7713, 8966, 6208, 543, 6474, 267, 891, 941, 24016, 547, 5431, 519, 1268, 945, 4607, 581, 342, 17097, 782, 540, 873, 269, 4256, 1880, 16861, 25197, 725, 5795, 1505, 547, 8062, 267, 1728, 3122, 807, 267, 543, 513, 535, 1066, 5414, 602, 1291, 547, 811, 31482, 267, 2356, 1063, 519, 18312, 2516, 563, 8649, 870, 2043, 941, 7166, 3330, 30561, 18338, 4255, 888, 307, 578, 1841, 519, 1439, 689, 519, 30561, 18338, 2090, 267, 476, 866, 4896, 723, 1044, 554, 6548, 543, 476, 276, 824, 11570, 723, 1163, 1600, 538, 26692, 269, 769, 1840, 267, 835, 1131, 581, 2182, 20399, 9944, 2597, 344, 10007, 2394, 789, 1163, 1600, 563, 1692, 1705, 519, 30561, 18338, 2090, 3247, 888, 5475, 4374, 540, 13016, 5873, 902, 267, 11184, 5261, 623, 4721, 267, 17294, 3823, 519, 12590, 575, 5285, 2051, 3415, 267, 954, 1027, 539, 547, 1039, 930, 1106, 1275, 547, 519, 18659, 269, 4438, 519, 1310, 12405, 513, 2603, 540, 2090, 941, 5342, 513, 2603, 540, 2043, 16876, 269, 4595, 519, 2090, 30174, 267, 25197, 725, 561, 1263, 6533, 539, 3564, 30561, 4884, 547, 536, 867, 1359, 10034, 269, 2991, 17135, 623, 4721, 779, 8004, 23136, 993, 26582, 267, 519, 18560, 1586, 954, 1027, 539, 543, 10288, 602, 513, 4195, 519, 5480, 3336, 1745, 1305, 909, 602, 1131, 711, 1175, 1577, 865, 10777, 19706, 2963, 269, 1635, 2904, 476, 15433, 274, 16764, 538, 26692, 896, 10385, 540, 24235, 610, 5134, 6412, 540, 31783, 8694, 909, 533, 731, 19861, 676, 623, 4721, 563, 2750, 18075, 1018, 568, 519, 1686, 540, 519, 30561, 18338, 2090, 888, 763, 5734, 11399, 2173, 1170, 2511, 950, 519, 30561, 18338, 2090, 17663, 5342, 3773, 547, 19260, 538, 772, 2529, 269, 3656, 5773, 267, 971, 607, 1318, 547, 16048, 6041, 543, 3444, 7721, 8727, 540, 934, 22852, 543, 519, 16912, 1632, 602, 1978, 568, 20027, 2394, 9863, 3983, 269, 634, 30561, 2090, 849, 4797, 3478, 513, 3532, 14165, 585, 707, 1884, 545, 2174, 684, 626, 5873, 902, 3366, 676, 772, 2529, 269, 7354, 269, 9478, 5062, 10111, 20321, 3330, 4414, 8710, 609, 519, 476, 4198, 271, 338, 267, 28020, 607, 14880, 16019, 779, 14336, 5566, 723, 1187, 609, 519, 14265, 24862, 630, 4198, 274, 1916, 763, 2238, 538, 30561, 538, 476, 15433, 273, 941, 855, 835, 10126, 538, 606, 6905, 1650, 540, 18338, 6968, 338, 602, 3323, 538, 2342, 1063, 476, 9873, 271, 543, 476, 15836, 271, 543, 11943, 538, 519, 8545, 476, 1240, 628, 26992, 630, 583, 559, 1944, 519, 3105, 9833, 2773, 585, 31783, 8345, 538, 16848, 538, 3798, 514, 7921, 26603, 677, 476, 9965, 273, 1040, 634, 30561, 2090, 5949, 16607, 3330, 3126, 267, 607, 4166, 607, 519, 705, 622, 618, 3823, 519, 3864, 18338, 3620, 2863, 535, 969, 712, 267, 799, 8445, 539, 689, 707, 476, 15647, 271, 338, 543, 11313, 407, 373, 407, 364, 338, 593, 519, 476, 14321, 271, 338, 543, 11313, 407, 368, 407, 364, 338, 269, 2368, 1614, 21144, 2195, 540, 891, 3864, 18338, 6968, 338, 7018, 538, 7262, 5125, 267, 519, 8899, 3148, 267, 5333, 267, 7187, 7977, 267, 543, 16848, 269, 634, 7274, 540, 2090, 543, 4291, 1903, 9867, 4080, 593, 942, 543, 4055, 267, 855, 621, 568, 3622, 6340, 2808, 602, 930, 476, 8099, 267, 1822, 7606, 2949, 1185, 1044, 6836, 585, 31783, 543, 1063, 476, 2412, 267, 1822, 547, 476, 2568, 267, 1822, 17663, 6192, 563, 763, 968, 327, 2863, 338, 892, 5949, 547, 581, 960, 547, 2697, 26734, 3079, 18697, 540, 606, 1367, 945, 1185, 1044, 5892, 2808, 547, 581, 26734, 269, 654, 9662, 17663, 1634, 547, 581, 3988, 540, 30616, 602, 814, 11751, 543, 4421, 741, 2189, 1004, 585, 741, 5351, 269, 898, 814, 1044, 2808, 602, 891, 1004, 1031, 1629, 976, 547, 3035, 22539, 23339, 267, 1004, 8719, 689, 2043, 547, 3662, 1826, 610, 689, 1175, 835, 2123, 1826, 547, 513, 1007, 267, 602, 2831, 1969, 539, 607, 741, 968, 325, 13399, 18565, 2223, 543, 602, 789, 887, 1372, 998, 519, 10450, 693, 3781, 547, 9286, 11401, 543, 610, 326, 625, 269, 1411, 786, 1265, 6263, 8969, 602, 1082, 2043, 7307, 547, 798, 10847, 519, 26881, 543, 2119, 547, 5721, 22408, 1356, 344, 609, 22247, 30254, 269, 1717, 267, 1100, 835, 5892, 22993, 519, 2856, 540, 513, 968, 342, 3558, 892, 607, 4505, 6829, 563, 763, 5106, 540, 7114, 26734, 1305, 856, 609, 22027, 610, 15555, 2293, 269, 6452, 639, 725, 1287, 4553, 267, 1419, 32117, 547, 4978, 543, 4291, 1903, 269, 634, 30561, 18338, 2090, 543, 4291, 1903, 3357, 883, 1373, 1813, 547, 513, 3099, 540, 16008, 2229, 267, 3237, 21535, 338, 267, 543, 1728, 3122, 673, 3214, 267, 2609, 602, 11200, 539, 538, 513, 12511, 15777, 540, 22257, 14643, 563, 20278, 519, 2344, 454, 2467, 723, 1044, 1079, 6428, 2114, 998, 519, 1517, 730, 476, 1704, 628, 476, 1911, 1296, 281, 513, 14297, 16450, 15129, 22426, 2486, 593, 12590, 26654, 3957, 30561, 4087, 267, 799, 786, 4434, 883, 4207, 30561, 267, 543, 267, 10199, 476, 1015, 1279, 9883, 630, 1626, 12919, 264, 24654, 689, 1210, 621, 267, 513, 4130, 267, 25013, 3395, 8378, 540, 930, 476, 4335, 1367, 17019, 30561, 4884, 269, 634, 2146, 3294, 4810, 513, 18476, 2123, 15652, 799, 729, 1500, 8338, 676, 513, 31195, 1063, 922, 1079, 11967, 3885, 9789, 1134, 13463, 601, 539, 623, 13024, 267, 945, 1185, 14463, 14479, 609, 30561, 16011, 779, 3638, 3549, 267, 543, 519, 10925, 333, 4461, 267, 945, 4941, 1732, 13190, 585, 922, 2146, 543, 616, 519, 3044, 15515, 31600, 707, 1447, 3491, 338, 704, 748, 21737, 5321, 269, 8293, 629, 7632, 936, 7221, 17663, 22232, 267, 543, 1396, 16406, 1145, 1185, 1044, 19856, 656, 269, 0, 4407, 23679, 596, 4465, 1406, 2154, 3573, 5959, 960, 2429, 707, 1272, 267, 3006, 621, 779, 2556, 547, 1294, 513, 11285, 543, 4309, 2126, 3544, 540, 6296, 2973, 902, 543, 824, 5959, 5773, 269, 2334, 779, 1141, 7189, 899, 26966, 1235, 2097, 538, 267, 945, 616, 12665, 602, 4308, 609, 519, 3889, 540, 707, 4522, 269, 3371, 616, 513, 1906, 2101, 3604, 1063, 606, 26966, 626, 543, 707, 2834, 11290, 563, 6097, 547, 5680, 13270, 267, 519, 2596, 4214, 540, 1018, 606, 26966, 626, 1281, 568, 20647, 538, 3889, 540, 519, 4522, 267, 543, 875, 547, 2953, 873, 952, 991, 581, 269, 1358, 4196, 1004, 540, 782, 6502, 267, 8151, 689, 1507, 1453, 547, 4587, 4079, 267, 1498, 930, 723, 513, 1808, 1445, 593, 12963, 338, 269, 769, 824, 1913, 267, 606, 26966, 626, 568, 519, 4387, 596, 979, 547, 1294, 585, 30997, 3457, 899, 25329, 543, 11677, 619, 267, 6466, 513, 11290, 9388, 609, 1169, 1554, 1416, 543, 12863, 5773, 899, 30836, 610, 3597, 23668, 602, 1810, 1406, 2154, 12362, 6391, 563, 29973, 569, 267, 952, 596, 991, 25329, 267, 11677, 619, 267, 610, 824, 3457, 547, 7369, 543, 2953, 519, 2497, 540, 707, 4522, 585, 2175, 971, 607, 936, 321, 2572, 267, 3444, 321, 2572, 267, 7715, 3429, 267, 610, 19514, 19437, 267, 547, 2012, 1175, 513, 1906, 267, 596, 3580, 991, 547, 1294, 606, 26966, 626, 563, 2252, 596, 2461, 538, 991, 540, 513, 26966, 626, 267, 853, 269, 8402, 814, 11206, 5244, 15482, 799, 568, 835, 540, 519, 4686, 782, 2987, 14633, 2853, 1141, 789, 798, 1082, 5773, 543, 723, 12665, 782, 896, 835, 8122, 269, 3509, 2053, 267, 5959, 13646, 1810, 1406, 723, 12665, 538, 27440, 267, 543, 596, 786, 991, 547, 2951, 12341, 3116, 269, 1403, 713, 568, 519, 2013, 267, 1498, 267, 519, 1655, 1259, 547, 1265, 606, 26966, 626, 568, 547, 979, 676, 7840, 269, 2913, 707, 11290, 3277, 596, 547, 606, 26966, 626, 789, 2461, 1031, 547, 2324, 609, 267, 855, 1287, 1118, 2386, 547, 798, 707, 1382, 593, 519, 1268, 269, 6733, 909, 3461, 8039, 543, 2307, 1472, 547, 1118, 2386, 602, 519, 4387, 596, 4076, 1044, 5219, 547, 568, 6325, 269, 5213, 1406, 7340, 547, 849, 2638, 2436, 789, 2461, 606, 538, 5991, 564, 1740, 8502, 585, 707, 5959, 6142, 267, 2094, 621, 3587, 1454, 811, 7199, 543, 972, 779, 1100, 10018, 602, 707, 11290, 786, 917, 563, 19284, 513, 11290, 945, 596, 3580, 1294, 585, 2834, 267, 6296, 2638, 13522, 267, 2973, 902, 267, 543, 519, 17573, 11423, 610, 3597, 12324, 267, 543, 26966, 626, 568, 513, 4387, 945, 596, 979, 547, 585, 513, 15360, 585, 1761, 2126, 269, 1403, 596, 2461, 513, 11134, 547, 4309, 513, 30997, 3926, 267, 1287, 2834, 1246, 909, 11564, 585, 6514, 543, 11941, 786, 581, 2556, 269, 25547, 1516, 26966, 545, 2126, 666, 1491, 1296, 267, 543, 3340, 513, 2603, 540, 5826, 269, 2659, 11290, 786, 849, 581, 538, 2834, 3346, 609, 707, 26966, 626, 267, 543, 1022, 824, 4387, 602, 9388, 609, 707, 5959, 1416, 267, 547, 2327, 602, 707, 31458, 540, 1416, 568, 1655, 585, 596, 563, 763, 2596, 3017, 1063, 513, 11290, 543, 606, 26966, 626, 568, 13380, 547, 513, 2834, 2489, 4387, 8957, 513, 11285, 269, 1879, 596, 979, 585, 513, 2168, 267, 585, 1383, 267, 952, 707, 3119, 1416, 10629, 9060, 1945, 602, 2115, 3007, 689, 513, 11285, 267, 789, 3580, 6494, 596, 547, 1776, 4387, 269, 1403, 596, 723, 606, 22377, 267, 1287, 596, 3580, 581, 2366, 547, 513, 12884, 10938, 6048, 945, 24870, 538, 602, 1826, 540, 4915, 269, 898, 779, 513, 2147, 2013, 609, 513, 11290, 543, 26966, 1235, 269, 0, 347, 10817, 652, 11000, 1315, 1883, 16694, 4633, 454, 1475, 302, 1537, 6881, 630, 6748, 24384, 990, 529, 783, 1570, 543, 2875, 5872, 264, 2966, 547, 10141, 1702, 543, 5000, 1565, 269, 10558, 725, 540, 713, 1826, 616, 1585, 569, 5219, 547, 607, 2048, 1410, 1842, 7480, 1505, 8730, 2048, 7666, 652, 15872, 685, 610, 2048, 651, 2106, 1774, 18531, 9957, 630, 763, 2165, 2048, 651, 2106, 1774, 685, 4016, 1152, 547, 513, 1826, 540, 4633, 9447, 593, 2027, 14026, 267, 585, 799, 519, 11000, 5036, 519, 3159, 610, 20964, 519, 5817, 6249, 282, 621, 568, 27537, 676, 922, 10058, 1543, 267, 2497, 543, 3483, 267, 543, 12346, 3592, 14311, 593, 519, 9275, 2262, 547, 5968, 922, 2093, 8094, 1475, 20797, 2861, 1565, 1505, 5473, 2238, 971, 607, 23405, 267, 5751, 267, 6901, 543, 1382, 563, 1475, 24309, 1565, 3356, 1449, 267, 27537, 676, 840, 1673, 17827, 4267, 269, 4270, 27059, 4255, 2709, 1843, 1947, 3067, 16666, 2164, 538, 6935, 547, 2875, 1702, 267, 19206, 267, 1983, 267, 2773, 267, 19038, 6421, 267, 10182, 267, 4987, 267, 3092, 269, 13242, 585, 10368, 267, 24233, 543, 14805, 894, 4879, 269, 2904, 2874, 540, 782, 610, 1022, 540, 519, 1739, 2010, 540, 2055, 281, 2789, 3903, 267, 19280, 543, 15971, 267, 2110, 2626, 267, 9352, 267, 12032, 267, 2789, 12805, 269, 0, 763 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23762, 585, 519, 6486, 269, 901, 729, 3533, 6439, 1881, 1310, 513, 1906, 7391, 609, 1864, 543, 646, 729, 2111, 547, 556, 11904, 519, 2592, 538, 476, 275, 343, 519, 3312, 2450, 609, 1100, 6749, 538, 2298, 563, 8248, 518, 543, 20131, 5955, 543, 875, 713, 6766, 1250, 960, 454, 7021, 519, 1576, 540, 1250, 1788, 267, 519, 1788, 814, 1044, 8185, 3310, 676, 5955, 689, 1312, 519, 3077, 5304, 607, 1134, 607, 1250, 21493, 543, 9905, 269, 634, 3355, 2856, 5249, 1472, 519, 2856, 547, 1711, 2901, 513, 4604, 3014, 610, 3556, 1759, 3014, 1305, 1472, 519, 2856, 540, 513, 14480, 613, 976, 543, 28463, 976, 873, 539, 7045, 269, 2991, 5955, 689, 9905, 594, 4956, 2870, 513, 4604, 3014, 1131, 711, 581, 519, 1655, 1576, 540, 2962, 543, 1131, 2154, 513, 2603, 540, 1646, 547, 1118, 811, 5078, 585, 513, 1126, 282, 2864, 982, 513, 3556, 3014, 267, 799, 568, 20244, 12863, 538, 1523, 585, 513, 1126, 547, 1174, 563, 763, 3355, 1523, 1148, 585, 519, 3556, 729, 22350, 7294, 543, 1131, 723, 3361, 513, 2603, 540, 10539, 585, 1453, 269, 898, 16922, 540, 1896, 1114, 28135, 267, 513, 1377, 532, 543, 1072, 2964, 545, 607, 1134, 607, 476, 273, 1983, 799, 1131, 723, 2016, 519, 1453, 2484, 1932, 1454, 547, 4383, 538, 513, 3556, 3014, 543, 1131, 1033, 847, 689, 519, 1565, 3693, 269, 3733, 3879, 15249, 729, 519, 1268, 945, 8385, 5795, 803, 519, 2856, 547, 3095, 519, 6486, 547, 2055, 998, 513, 2864, 1279, 4901, 827, 519, 2470, 540, 519, 3014, 1018, 1148, 2511, 1131, 1655, 9290, 621, 563, 288, 2603, 540, 519, 3014, 779, 1374, 543, 519, 11707, 540, 621, 607, 513, 2898, 3357, 689, 9263, 5955, 543, 4901, 269, 1280, 1383, 4901, 6486, 1373, 5916, 609, 2243, 6486, 3357, 689, 513, 6643, 594, 1185, 609, 513, 2385, 4171, 1126, 4769, 1406, 899, 3478, 2055, 4636, 543, 713, 849, 1291, 547, 519, 3442, 707, 1378, 7045, 3693, 711, 2348, 513, 5821, 1533, 865, 596, 666, 2760, 6336, 563, 763, 2898, 5137, 1184, 729, 8185, 12936, 609, 519, 5955, 540, 1866, 269, 5071, 2609, 971, 607, 519, 3556, 1374, 729, 6766, 513, 2603, 676, 519, 623, 758, 2946, 3000, 9467, 3556, 3014, 607, 1134, 607, 602, 540, 519, 3014, 631, 4875, 7219, 269, 1717, 267, 607, 23576, 2429, 1250, 5816, 267, 594, 723, 8854, 998, 513, 2603, 540, 1114, 6272, 269, 1280, 1383, 267, 519, 7990, 10325, 729, 12012, 2789, 1114, 2053, 1813, 547, 5955, 689, 9905, 17548, 519, 4769, 1406, 3494, 1453, 1131, 899, 519, 18632, 543, 811, 18233, 856, 18565, 594, 8385, 13603, 563, 763, 1148, 2511, 3294, 4682, 998, 513, 1906, 1114, 2242, 849, 269, 3245, 519, 3312, 1523, 1148, 547, 519, 3803, 8737, 6486, 814, 8854, 998, 1082, 2101, 2242, 269, 17616, 519, 11247, 729, 513, 2603, 811, 6738, 909, 543, 10728, 3168, 607, 1134, 607, 513, 2034, 5373, 799, 8604, 811, 795, 990, 658, 267, 799, 594, 1287, 2813, 513, 8908, 25549, 1374, 1210, 6337, 7749, 269, 634, 811, 10728, 3168, 717, 984, 4802, 7990, 2213, 5373, 729, 12995, 609, 16503, 15249, 269, 634, 3879, 15249, 1287, 1031, 1250, 5955, 547, 1711, 513, 18920, 1148, 2511, 3803, 5373, 269, 2353, 1614, 6272, 941, 3254, 547, 513, 1126, 543, 729, 1287, 4280, 799, 789, 9053, 269, 901, 729, 540, 1390, 5491, 547, 1250, 1788, 607, 621, 4847, 547, 4603, 609, 1114, 6272, 538, 1931, 547, 1655, 9029, 547, 519, 3077, 5304, 269, 11109, 519, 5967, 1184, 2731, 5280, 547, 3310, 20599, 6272, 563, 14454, 519, 5955, 1184, 729, 17170, 547, 519, 5137, 547, 1250, 1788, 269, 9453, 782, 519, 5955, 1250, 1788, 1131, 723, 1044, 1360, 21176, 25224, 539, 2469, 1055, 1250, 1378, 2123, 1374, 5079, 799, 941, 711, 2141, 1034, 2500, 269, 11109, 811, 1004, 547, 1413, 936, 543, 9263, 6218, 1250, 960, 814, 12936, 1250, 960, 8185, 676, 1818, 803, 1413, 693, 2609, 689, 1114, 7285, 543, 2015, 875, 713, 1131, 1413, 538, 519, 4064, 540, 2576, 609, 1100, 1702, 540, 519, 3014, 269, 634, 3556, 3014, 689, 3355, 1523, 814, 7960, 1454, 811, 1813, 547, 713, 5955, 689, 519, 3014, 11707, 547, 519, 1374, 540, 519, 6044, 8261, 563, 763, 1983, 594, 723, 2919, 543, 19927, 998, 713, 1788, 723, 1044, 540, 1390, 5491, 547, 803, 543, 786, 15983, 4196, 803, 1134, 538, 519, 3803, 1788, 543, 538, 513, 2104, 4876, 2619, 538, 19761, 269, 3414, 713, 1788, 649, 4988, 513, 2603, 540, 1983, 11341, 547, 1374, 267, 713, 24132, 689, 1462, 2762, 543, 29282, 547, 875, 547, 946, 23489, 16503, 15249, 563, 26212, 547, 713, 1788, 519, 1292, 2609, 540, 1250, 960, 594, 723, 2141, 17388, 609, 941, 538, 14621, 547, 1374, 269, 594, 993, 1360, 2555, 21154, 543, 25401, 2247, 539, 543, 4061, 723, 2141, 1336, 3860, 1374, 1360, 2352, 269, 1717, 998, 519, 15872, 4843, 2429, 713, 1788, 594, 723, 1044, 2111, 547, 4019, 1250, 1259, 540, 3206, 547, 1374, 563, 1103, 14621, 547, 1462, 2762, 594, 1185, 2141, 3144, 519, 1291, 998, 30228, 4540, 1570, 267, 799, 1247, 2500, 1281, 711, 2141, 1917, 3318, 1143, 269, 3414, 17634, 543, 513, 4514, 1620, 540, 519, 3069, 4478, 519, 2093, 540, 5395, 604, 543, 590, 753, 5395, 604, 267, 594, 729, 2111, 547, 4019, 713, 7954, 883, 1250, 1382, 950, 3168, 883, 1462, 2762, 538, 4540, 1453, 779, 1570, 269, 901, 849, 1291, 547, 803, 1373, 2111, 547, 7522, 1524, 5079, 540, 13944, 543, 2744, 5955, 593, 799, 13944, 5249, 1655, 998, 519, 946, 540, 513, 5619, 547, 946, 585, 3556, 26333, 269, 3414, 1250, 1382, 543, 1620, 540, 1462, 2762, 594, 729, 1287, 2111, 547, 4584, 606, 2653, 547, 1224, 543, 2241, 13944, 585, 519, 2243, 543, 11963, 6486, 6609, 1257, 563, 1103, 2474, 540, 1374, 594, 723, 2097, 513, 1279, 1259, 998, 713, 1788, 269, 2060, 519, 3355, 1376, 540, 713, 1788, 594, 729, 3833, 14221, 827, 2436, 594, 1223, 3132, 1945, 3860, 538, 799, 594, 7948, 1406, 1175, 1491, 4540, 1570, 543, 4019, 621, 547, 1250, 960, 269, 594, 7012, 1406, 2870, 1945, 585, 606, 4540, 2754, 269, 901, 5921, 538, 14621, 547, 1374, 594, 1185, 547, 1491, 6667, 689, 4540, 1570, 855, 711, 973, 11661, 610, 900, 6819, 519, 1570, 2907, 538, 6228, 269, 3733, 6026, 8400, 593, 519, 946, 540, 11768, 543, 1374, 723, 5280, 30140, 269, 13405, 547, 713, 1788, 594, 1031, 547, 6460, 6272, 883, 513, 3126, 540, 2338, 971, 607, 1858, 540, 1257, 543, 519, 15558, 547, 519, 2427, 540, 519, 2985, 269, 901, 5921, 594, 1223, 1711, 1984, 22015, 516, 4977, 9903, 725, 855, 789, 941, 711, 1945, 5499, 610, 3312, 269, 3767, 594, 723, 513, 2417, 1620, 540, 2942, 2230, 267, 7990, 14565, 543, 13307, 540, 2592, 547, 1463, 519, 5304, 779, 22401, 269, 2353, 891, 1983, 13745, 609, 519, 1603, 11768, 3069, 689, 2063, 1032, 3947, 803, 513, 1434, 1620, 540, 875, 547, 1711, 513, 1134, 2966, 4062, 540, 1603, 609, 513, 1134, 1500, 11768, 547, 4324, 519, 5467, 543, 1832, 741, 3007, 563, 1103, 14621, 547, 23489, 16503, 15249, 519, 1292, 5578, 594, 19927, 689, 891, 7886, 729, 519, 1840, 540, 713, 3301, 883, 1250, 2907, 5318, 1620, 540, 3318, 1377, 3301, 269, 634, 1292, 2460, 540, 713, 3301, 594, 1031, 729, 602, 540, 3239, 10250, 269, 901, 5280, 803, 7753, 1250, 17418, 547, 1711, 2592, 538, 519, 2757, 2631, 543, 3079, 4847, 803, 547, 12575, 4540, 11052, 543, 18935, 1047, 621, 9935, 547, 1711, 1434, 2298, 10080, 585, 1250, 6486, 269, 2986, 782, 519, 1983, 594, 723, 19927, 2429, 713, 1788, 891, 616, 519, 3283, 602, 1034, 12936, 519, 1788, 1813, 547, 621, 4625, 4657, 1250, 4282, 1374, 689, 519, 3625, 15437, 547, 1945, 811, 11617, 2502, 269, 2755, 594, 1810, 1406, 20053, 547, 581, 1210, 713, 538, 1250, 3803, 2101, 1788, 630, 553, 594, 20053, 547, 798, 513, 3381, 4062, 264, 621, 1869, 2337, 547, 2087, 1250, 2308, 268, 1464, 543, 786, 1118, 803, 811, 13267, 547, 1761, 12820, 1813, 547, 6029, 1250, 17545, 269, 901, 814, 849, 3254, 594, 666, 3533, 4584, 909, 543, 946, 1007, 3301, 547, 1711, 513, 3318, 2298, 4062, 563, 7628, 1250, 1788, 594, 11402, 3833, 513, 1297, 540, 2042, 269, 634, 5354, 540, 891, 941, 5266, 5634, 543, 941, 6378, 1369, 513, 12905, 6752, 610, 513, 960, 1472, 729, 6913, 563, 288, 1297, 540, 2042, 7018, 689, 2324, 609, 513, 3523, 1807, 269, 1234, 2391, 593, 1776, 1268, 945, 814, 513, 1114, 8430, 547, 8885, 729, 3833, 2352, 269, 9181, 687, 7018, 693, 1360, 9642, 2053, 543, 941, 2182, 547, 6582, 543, 4061, 594, 1185, 547, 21138, 1808, 5712, 540, 942, 547, 1865, 519, 1788, 543, 2285, 5955, 547, 1250, 3879, 15249, 269, 1717, 2899, 594, 3893, 513, 2489, 2856, 540, 519, 8430, 540, 1250, 3879, 15249, 594, 24458, 602, 594, 1185, 942, 547, 1865, 543, 2285, 5955, 547, 1864, 538, 1931, 547, 2285, 4287, 543, 723, 6905, 4901, 593, 519, 14960, 540, 519, 3014, 269, 594, 849, 1336, 602, 972, 941, 7182, 547, 1250, 3879, 21116, 2702, 547, 1711, 2592, 543, 602, 646, 729, 849, 3833, 6213, 950, 621, 3357, 547, 1010, 11247, 269, 1261, 729, 8572, 547, 630, 663, 3833, 31464, 264, 547, 1711, 1480, 1915, 11247, 585, 519, 5049, 543, 3079, 1500, 27291, 607, 621, 729, 1945, 646, 729, 811, 6899, 609, 269, 901, 6743, 1434, 543, 3318, 543, 14018, 519, 1148, 4287, 540, 519, 3014, 267, 2705, 646, 1705, 865, 609, 1100, 4287, 543, 1705, 865, 540, 1010, 1378, 11063, 269, 901, 729, 5594, 16609, 855, 1705, 960, 1472, 1010, 2152, 609, 1480, 3197, 269, 1261, 849, 729, 1360, 1055, 2105, 950, 594, 3576, 930, 540, 1010, 1523, 1148, 543, 12995, 621, 538, 16503, 15249, 547, 946, 585, 1148, 4287, 543, 607, 513, 2009, 1374, 3903, 269, 1261, 15189, 547, 1118, 15042, 15513, 12400, 543, 1767, 621, 729, 29405, 532, 547, 7369, 1010, 11247, 1510, 1010, 10479, 269, 594, 23294, 2213, 543, 4061, 1185, 547, 2307, 585, 10479, 2469, 4464, 538, 1931, 547, 2057, 29405, 532, 1864, 2417, 269, 4495, 621, 729, 6045, 547, 1864, 602, 713, 729, 607, 547, 4603, 538, 1931, 547, 3035, 1978, 7355, 585, 1250, 1788, 646, 729, 811, 16561, 540, 519, 2856, 269, 1717, 267, 1813, 547, 1010, 1719, 538, 18920, 1148, 729, 1360, 5462, 602, 602, 729, 519, 1152, 2511, 540, 11247, 646, 1131, 1711, 563, 296, 1287, 3459, 547, 1413, 883, 824, 2959, 585, 1250, 11247, 538, 2013, 519, 1148, 2511, 729, 711, 9053, 676, 519, 1126, 594, 26906, 269, 24664, 1176, 519, 1126, 1336, 519, 18920, 1148, 1374, 18056, 1864, 540, 3381, 3014, 3197, 543, 10150, 519, 1148, 2511, 30140, 269, 4033, 982, 713, 519, 3879, 15249, 729, 6126, 2921, 4287, 267, 19249, 3556, 6272, 543, 5795, 803, 782, 519, 3803, 11247, 676, 519, 21120, 594, 4280, 540, 1864, 269, 15788, 713, 1995, 814, 2016, 803, 513, 2603, 540, 2792, 1983, 594, 666, 1491, 4464, 883, 2872, 950, 2324, 609, 1866, 269, 594, 786, 1491, 713, 4464, 538, 1250, 3803, 1788, 538, 799, 594, 786, 581, 1210, 513, 2603, 540, 824, 1004, 547, 4670, 538, 799, 594, 786, 581, 2870, 513, 17245, 269, 594, 786, 581, 8185, 882, 5050, 593, 1866, 538, 713, 543, 4061, 786, 991, 547, 4019, 891, 1983, 950, 3001, 4464, 538, 1250, 2104, 1788, 543, 4876, 563, 5194, 1966, 594, 1185, 729, 602, 540, 2870, 513, 1374, 585, 1250, 3556, 29282, 602, 6743, 3318, 269, 898, 729, 1360, 2352, 547, 1265, 513, 17598, 3168, 4282, 543, 585, 513, 1279, 1247, 594, 12758, 609, 533, 1105, 618, 547, 3514, 609, 519, 6249, 540, 606, 7045, 1650, 269, 1717, 267, 621, 6743, 1932, 2147, 547, 631, 4875, 7219, 779, 11768, 543, 594, 4941, 547, 581, 811, 3312, 269, 898, 729, 1472, 713, 942, 594, 3459, 547, 723, 15872, 593, 16503, 15249, 799, 4847, 803, 547, 11571, 538, 11247, 543, 946, 3239, 10250, 269, 594, 3533, 1483, 2213, 972, 729, 513, 7990, 4183, 593, 713, 4781, 543, 6743, 883, 19234, 609, 4890, 11147, 547, 1118, 18935, 2213, 10080, 269, 594, 1287, 3576, 10080, 1141, 594, 16545, 891, 7068, 1373, 1305, 543, 12012, 4540, 2592, 269, 1452, 1007, 18935, 2213, 2592, 941, 1175, 1018, 594, 1185, 4941, 547, 1711, 543, 609, 519, 1007, 1983, 6591, 998, 16503, 15249, 594, 1705, 711, 723, 547, 7048, 593, 4896, 3116, 547, 1711, 873, 269, 1358, 941, 2656, 543, 2241, 547, 1711, 543, 14018, 519, 1148 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 782, 824, 3872, 7475, 1403, 596, 616, 10478, 585, 3450, 1570, 267, 723, 513, 1413, 693, 938, 834, 13981, 10049, 543, 13088, 2668, 634, 11300, 12780, 12689, 14998, 519, 1863, 946, 269, 15766, 908, 1053, 1377, 540, 2565, 3206, 2066, 14292, 634, 946, 540, 9840, 607, 606, 14292, 4640, 2337, 1020, 1053, 2565, 1434, 1913, 547, 946, 538, 513, 10388, 4633, 24021, 1382, 593, 1514, 2923, 946, 538, 2069, 281, 513, 1353, 540, 4744, 31277, 282, 18281, 19331, 731, 513, 1455, 1620, 540, 1382, 2861, 14292, 2994, 282, 15043, 11879, 15154, 538, 5441, 15789, 267, 21142, 1234, 14852, 267, 31722, 5098, 593, 954, 331, 4833, 22964, 3901, 923, 16930, 3872, 6859, 2553, 1031, 676, 9946, 585, 7580, 543, 585, 10512, 13290, 547, 6536, 11036, 2921, 267, 2565, 3206, 267, 25107, 543, 563, 587, 508, 30210, 11879, 15154, 2598, 6570, 22802, 892, 729, 1031, 269, 10457, 585, 513, 3450, 2022, 585, 4914, 1893, 1378, 609, 593, 606, 3328, 1647, 547, 2864, 1970, 7678, 11150, 585, 3384, 2565, 3206, 281, 1411, 1118, 519, 3017, 538, 519, 269, 5918, 651, 9972, 5098, 737, 13873, 7640, 523, 634, 674, 870, 553, 1299, 623, 4883, 749, 32653, 532, 6651, 476, 273, 267, 585, 24366, 281, 15154, 267, 32695, 267, 543, 5675, 3568, 5730, 1893, 547, 946, 950, 3450, 267, 20872, 585, 267, 14027, 6323, 536, 513, 273, 17440, 476, 273, 269, 274, 2677, 21564, 1966, 6061, 543, 8097, 4640, 1702, 1547, 10371, 6267, 547, 10536, 1582, 19543, 267, 3621, 3206, 267, 2565, 3206, 267, 543, 1966, 9241, 2919, 3450, 1982, 729, 1031, 547, 4001, 519, 6304, 1895, 1247, 563, 9743, 2315, 531, 11150, 269, 901, 4640, 11414, 1053, 875, 547, 1491, 4967, 543, 10891, 3391, 14374, 883, 2542, 676, 3408, 540, 2565, 2055, 269, 12833, 6295, 1053, 538, 2565, 3206, 543, 3498, 540, 741, 1702, 269, 901, 2882, 4989, 476, 1001, 272, 281, 968, 18183, 12787, 3070, 2994, 538, 519, 3450, 2796, 892, 12462, 25618, 1329, 24166, 2238, 593, 4264, 2244, 946, 543, 2067, 4199, 2359, 269, 1557, 593, 2121, 633, 1004, 634, 1898, 7592, 540, 513, 2565, 1589, 518, 2154, 606, 3773, 585, 1346, 945, 917, 2370, 827, 2565, 3206, 269, 538, 707, 3206, 269, 5822, 15613, 281, 676, 19819, 592, 1014, 328, 5718, 1957, 1382, 25229, 20462, 476, 279, 9947, 476, 1001, 274, 476, 1839, 11879, 15154, 11150, 1280, 634, 7073, 3231, 1676, 269, 14520, 17778, 547, 15043, 2659, 13574, 476, 2641, 560, 11416, 12409, 5303, 5788, 31945, 30559, 1023, 2987, 268, 25531, 1166, 857, 330, 1359, 321, 2784, 24713, 757, 14025, 14482, 9592, 1532, 21392, 31032, 14482, 18291, 454, 29753, 16497, 593, 519, 5178, 529, 540, 7689, 12697, 270, 25618, 625, 454, 296, 1616, 547, 6338, 513, 1259, 540, 3206, 827, 543, 3450, 3332, 602, 12034, 5931, 607, 2623, 269, 29570, 891, 7526, 568, 3730, 585, 2565, 3206, 827, 2528, 267, 855, 849, 1280, 12383, 267, 594, 3513, 946, 1134, 8153, 5931, 267, 689, 9956, 547, 1230, 2784, 781, 543, 2565, 6237, 626, 12716, 2994, 267, 546, 8016, 9331, 7728, 288, 476, 1724, 6799, 606, 2565, 3206, 1983, 267, 2994, 543, 547, 2232, 865, 2422, 540, 519, 3060, 547, 10505, 267, 4431, 547, 2875, 10371, 512, 1116, 568, 1031, 547, 4766, 3872, 18747, 602, 269, 2060, 713, 3015, 543, 7874, 3391, 267, 596, 3513, 1205, 10750, 30165, 6044, 593, 875, 547, 11879, 15154, 10341, 585, 667, 27186, 281, 30216, 2645, 543, 2994, 689, 513, 593, 3280, 7744, 543, 21849, 2079, 31698, 10502, 875, 547, 946, 1523, 3288, 334, 512, 30349, 1557, 8196, 519, 1739, 12485, 1282, 1362, 547, 2327, 602, 1053, 616, 8362, 7722, 538, 3206, 827, 519, 1543, 269, 4841, 1058, 581, 1572, 593, 14477, 630, 6748, 1323, 14292, 4640, 568, 513, 1505, 596, 547, 16785, 2565, 3206, 950, 596, 1589, 827, 14292, 2994, 267, 607, 606, 14292, 4640, 949, 849, 454, 20663, 2667, 13554, 19019, 8808, 1184, 4640, 538, 2474, 540, 2565, 3206, 4093, 543, 729, 4724, 741, 14292, 1505, 23889, 7756, 7007, 19019, 1299, 4197, 676, 5071, 281, 4045, 532, 2422, 519, 18807, 1374, 1935, 547, 1020, 6437, 4559, 543, 4245, 538, 26945, 5468, 267, 543, 8716, 3860, 543, 2565, 3206, 538, 519, 4928, 269, 2348, 20291, 1533, 4204, 3646, 547, 1020, 14292, 2994, 267, 17083, 27742, 1714, 9626, 524, 8014, 588, 656, 517, 1557, 769, 2565, 3206, 267, 1323, 1437, 908, 4640, 1031, 1991, 547, 4098, 513, 1007, 1888, 269, 1323, 14292, 1935, 630, 21865, 1031, 538, 2542, 264, 26159, 4744, 31277, 16643, 2511, 20985, 4804, 281, 30487, 543, 25947, 11879, 15154, 538, 6732, 17564, 1280, 4548, 267, 32544, 267, 8834, 282, 21862, 21672, 267, 6424, 281, 27870, 606, 661, 6441, 792, 940, 15613, 538, 14451, 32544, 267, 8834, 281, 12409, 6796, 7177, 630, 2464, 292, 1070, 552, 532, 601, 611, 10273, 32544, 267, 8834, 281, 18329, 25642, 910, 5769, 2422, 543, 661, 4211, 558, 12692, 538, 3017, 1063, 4081, 1557, 543, 3621, 1382, 19019, 531, 11150, 11879, 15154, 543, 9046, 14572, 269, 19793, 22777, 538, 519, 5386, 6575, 3340, 1082, 1114, 5686, 540, 3206, 269, 4841, 1451, 547, 7390, 547, 454, 1015, 269, 744, 19241, 269, 476, 1001, 274, 15465, 2994, 616, 1031, 547, 948, 606, 1367, 3035, 513, 1880, 3804, 1247, 634, 1053, 786, 581, 2111, 547, 3914, 519, 2565, 1377, 3206, 269, 936, 942, 543, 609, 1489, 543, 14292, 5583, 267, 666, 1711, 6209, 267, 519, 9740, 540, 7287, 1557, 676, 3638, 731, 11425, 3419, 22222, 3231, 1676, 31802, 543, 15613, 2422, 1851, 2160, 269, 4841, 538, 519, 2136, 9752, 11879, 15154, 10341, 547, 6259, 2160, 4841, 269, 17241, 2793, 681, 4696, 6395, 310, 296, 16075, 3594, 2688, 2328, 10927, 901, 2962, 1382, 1788, 8179, 547, 1020, 1053, 2565, 3206, 1983, 676, 7598, 513, 3099, 540, 14292, 2994, 269, 28080, 9643, 585, 713, 1353, 941, 11879, 3206, 568, 519, 6457, 1302, 5676, 1441, 1184, 540, 8362, 543, 5578, 2685, 12497, 1944, 267, 7311, 267, 7421, 267, 13754, 1944, 267, 543, 454, 296, 7473, 7433, 318, 13202, 710, 853, 773, 3455, 910, 17546, 5058, 6441, 792, 333, 5058, 9950, 308, 454, 4041, 27073, 5058, 9215, 19845, 27073, 15043, 2565, 3206, 1983, 454, 17273, 32386, 269, 6168, 11879, 15154, 282, 15613, 5903, 281, 476, 3374, 17435, 5014, 540, 11879, 23539, 590, 7095, 9752, 3627, 26573, 7085, 281, 2201, 19019, 267, 25827, 4886, 2676, 736, 4924, 476, 1001, 277, 18536, 13648, 689, 25303, 729, 3168, 585, 798, 11879, 15154, 593, 1022, 14292, 4640, 610, 1505, 602, 596, 1223, 946, 538, 707, 3450, 476, 279, 269, 744, 19241, 269, 476, 1001, 276, 21602, 476, 275, 268, 276, 5082, 1161, 268, 25618, 545, 5004, 15484, 7901, 1547, 10371, 2342, 267, 543, 1020, 513, 4390, 585, 2565, 3206, 267, 543, 7119, 538, 519, 2409, 540, 634, 10697, 14499, 2553, 267, 4922, 1031, 538, 14078, 267, 8492, 267, 543, 6006, 543, 6125, 769, 3450, 8804, 3262, 6656, 3301, 2488, 606, 5140, 1907, 585, 269, 512, 542, 540, 3069, 630, 4696, 301, 1070, 946, 540, 3069, 630, 7034, 301, 1070, 2565, 6514, 540, 3069, 630, 5960, 301, 1070, 10371, 13852, 267, 661, 6993, 1421, 476, 1960, 272, 281, 13891, 622, 281, 589, 15613, 585, 9752, 11879, 15154, 269, 10145, 1957, 547, 2328, 593, 2228, 1215, 14171, 21126, 28620, 593, 11879, 15154, 543, 21261, 566, 269, 1215, 3068, 6937, 543, 17846, 2994, 1860, 1268, 8226, 538, 2228, 23468, 269, 8950, 5336, 23672, 9442, 538, 10017, 9752, 281, 3310, 540, 22858, 673, 1303, 1778, 618, 538, 18838, 5494, 6847, 1107, 1772, 16869, 781, 6478, 2422, 11154, 539, 547, 519, 9752, 11150, 547, 32754, 11879, 11879, 3206, 814, 1044, 634, 5871, 11759, 3557, 11621, 4481, 11168, 513, 3206, 6437, 543, 454, 22826, 2565, 3206, 1547, 11879, 3206, 267, 9752, 1053, 547, 581, 2565, 17024, 1095, 6979, 606, 1604, 1141, 6267, 267, 2679, 11334, 267, 596, 3112, 4413, 713, 2653, 547, 2936, 3450, 4640, 256, 2725, 15590, 1547, 3962, 3210, 6656, 2882, 513, 9752, 11872, 2985, 609, 4388, 585, 946, 538, 519, 4928, 269, 2725, 15590, 11146, 891, 2093, 585, 2656, 2565, 3206, 543, 16542, 2238, 256, 476, 1015, 12243, 5174, 5648, 10632, 2334, 32754, 11879, 15154, 1547, 589, 4116, 594, 1031, 547, 960, 609, 2322, 2699, 6486, 593, 1402, 338, 1834, 16853, 693, 519, 2875, 960, 7740, 1299, 19430, 1544, 632, 12031, 1147, 682, 6535, 656, 1143, 324, 9752, 31072, 519, 13340, 281, 1215, 547, 3400, 321, 2659, 4841, 676, 4256, 11020, 267, 12059, 9990, 26779, 4052, 6044, 267, 543, 1711, 6422, 4245, 602, 20741, 2565, 3206, 543, 7580, 1966, 2507, 1889, 15590, 1547, 2422, 8535, 547, 29130, 17826, 476, 4198, 454, 25618, 625, 585, 3450, 2565, 3206, 269, 8000, 1206, 267, 12844, 22448, 454, 3066, 7325, 476, 1001, 274, 589, 2875, 781, 2565, 3206, 1983, 666, 581, 22541, 950, 606, 14357, 28525, 519, 946, 610, 267, 693, 513, 5934, 267, 519, 936, 2224, 540, 1463, 10530, 282, 9752, 519, 693, 281, 910, 974, 2286, 268, 1598, 1538, 625, 270, 1492, 268, 943, 323, 3860, 1603, 669, 8522, 966, 773, 548, 3331, 376, 1499, 28856, 974, 2142, 7371, 1408, 338, 24477, 2763, 5378, 834, 322, 15560, 3206, 1983, 257, 1107, 1546, 28852, 27761, 5894, 577, 654, 23152, 614, 321, 1276, 3768, 594, 2015, 621, 606, 2523, 1271, 3872, 873, 547, 678, 14260, 1544, 2104, 2994, 607, 1134, 607, 31380, 269, 476, 3040, 14146, 3334, 540, 2565, 3206, 547, 5620, 596, 1044, 3238, 538, 513, 3992, 610, 2866, 2680, 538, 799, 2565, 3206, 729, 1031, 607, 606, 14292, 4640, 286, 1557, 593, 27194, 538, 28991, 27119, 838, 5341, 339, 6095, 13153, 32489, 655, 29770, 29409, 817, 540, 9752, 11621, 2108, 630, 306, 269, 476, 4037, 275, 1040, 12603, 11621, 24166, 1323, 268, 634, 4116, 17358, 543, 3096, 513, 3099, 540, 14292, 2994, 547, 5000, 1053, 262, 1646, 540, 2565, 3206, 267, 1966, 6061, 267, 543, 454, 1704, 269, 631, 7564, 337, 345, 476, 1001, 274, 540, 519, 10848, 540, 3450, 543, 1565, 892, 10371, 634, 4116, 3096, 3450, 634, 4116, 17358, 543, 3096, 513, 3099, 540, 14292, 2994, 547, 5000, 2875, 1646, 540, 2565, 3206, 1966, 6061, 269, 14328, 2890, 29328, 19215, 5098, 5721, 661, 9915, 3450, 1983, 676, 8888, 513, 2115, 2079, 18102, 267, 543, 589, 2647, 2039, 540, 30070, 4247, 786, 581, 1031, 547, 1445, 593, 281, 910, 2500, 1893, 1565, 2994, 602, 948, 596, 547, 1831, 14628, 3755, 540, 2296, 269, 547, 519, 1646, 540, 2565, 3206, 543, 2079, 543, 14628, 1565, 269, 634, 840, 28129, 4116, 1031, 513, 3099, 540, 14292, 2994, 547, 5000, 2994, 547, 5000, 2875, 1646, 540, 2565, 3206, 267, 1557, 540, 2069, 568, 1271, 1323, 14292, 4640, 585, 2565, 3206, 1131, 4125, 519, 2609, 5941, 538, 519, 3349, 538, 519, 2063, 2022, 269, 1411, 786, 2693, 1265, 602, 1082, 14292, 454, 7809, 2264, 1070, 543, 3919, 630, 2145, 550, 543, 2497, 264, 2838, 547, 1118, 2500, 946, 540, 1239, 269, 10371, 28644, 23302, 8668, 3906, 1058, 1376, 547, 2708, 741, 1699, 4640, 267, 543, 9687, 18544, 3292, 689, 3056, 3872, 5238, 269, 1452, 1053, 1419, 4865, 2178, 2565, 3206, 267, 3621, 12191, 267, 19779, 1557, 4808, 476, 2764, 9484, 476, 1001, 276, 1879, 594, 1589, 827, 519, 1158, 649, 2661, 538, 267, 594, 1745, 1476, 15903, 676, 519, 547, 946, 4066, 855, 2864, 938, 15382, 7924, 1377, 630, 514, 519, 2631, 540, 519, 593, 938, 3206, 543, 1158, 2070, 264, 602, 723, 1831, 2565, 538, 3872, 1717, 267, 950, 594, 2911, 547, 1250, 1053, 827, 741, 1344, 10478, 2994, 543, 6208, 267, 1215, 798, 649, 3895, 2565, 543, 13354, 3206, 693, 519, 1482, 942, 607, 14237, 968, 21745, 1388, 9752, 1053, 547, 946, 891, 3059, 5867, 3340, 519, 6857, 968, 763, 4161, 568, 547, 2736, 519, 21055, 1143, 540, 2099, 1049, 2994, 543, 1557, 593, 812, 3125, 538, 16664, 1403, 891, 2326, 616, 1031, 538, 1022, 1106, 2407, 11760, 618, 1058, 581, 1500, 540, 1547, 1463, 29029, 6902, 20527, 18350, 648, 337, 11552, 14404, 2946, 27932, 1696, 11552, 5075, 6902, 269, 3655, 790, 598, 3534, 383, 362, 30036, 524, 8291, 5075, 632, 10371, 3450, 269, 4201, 16860, 267, 13597, 543, 8116, 269, 11879, 543, 3860, 3206, 563, 1839, 11879, 15154, 11150, 1280, 634, 19019, 531, 11150, 269, 17546, 1320, 4454, 568, 606, 3919, 6131, 547, 5647, 538, 2069, 998, 519, 5918, 651, 3498, 7110, 1557, 19019, 531, 11150, 2334, 11120, 4106, 622, 4804, 21661, 12474, 19791, 14292, 4640, 585, 1200, 10774, 529, 16881, 1620, 543, 2565, 3206, 4318, 977, 540, 14292, 4640, 593, 2565, 3206, 543, 1543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 14076, 321, 327, 26474, 454, 298, 7568, 31540, 1107, 570, 2728, 330, 1377, 1599, 776, 454, 298, 27092, 1107, 28521, 28018, 528, 610, 22810, 8556, 13577, 20229, 454, 32743, 27256, 21423, 1107, 1855, 26387, 559, 270, 3725, 15467, 14727, 22511, 8433, 454, 300, 1695, 541, 30773, 1107, 4427, 5937, 643, 29850, 20229, 270, 3493, 14280, 11814, 528, 454, 10048, 760, 584, 1107, 8433, 540, 3493, 14280, 30934, 454, 9288, 724, 531, 11535, 1107, 4427, 5937, 643, 29850, 20229, 270, 3493, 14280, 11814, 528, 454, 300, 714, 528, 600, 1107, 1855, 26387, 559, 270, 3725, 15467, 14727, 22511, 8433, 454, 301, 698, 531, 663, 1107, 8433, 540, 519, 30934, 18491, 531, 663, 1315, 10588, 10029, 1315, 10588, 7395, 626, 3433, 454, 302, 323, 22781, 1107, 10588, 7395, 626, 3433, 270, 4696, 300, 13478, 23077, 20081, 1695, 338, 843, 541, 454, 303, 684, 20602, 1107, 19634, 2740, 4427, 5937, 643, 29850, 8433, 454, 305, 1690, 553, 22474, 1107, 1763, 8826, 1855, 26387, 559, 20324, 6674, 270, 3725, 15467, 8433, 454, 306, 1731, 330, 574, 1107, 10588, 8556, 13577, 4741, 454, 307, 7056, 24385, 340, 1107, 570, 2728, 330, 18025, 21123, 599, 520, 5742, 8433, 454, 307, 601, 836, 3570, 1107, 1855, 26387, 559, 270, 3725, 15467, 8433, 454, 307, 8692, 3120, 1107, 8433, 540, 519, 4427, 5937, 643, 29850, 7395, 626, 3433, 454, 308, 1777, 541, 21423, 1107, 10588, 7395, 626, 3433, 8433, 540, 7255, 8664, 454, 308, 1777, 541, 752, 8518, 1107, 1763, 8826, 1855, 26387, 559, 1315, 3725, 15467, 14727, 22511, 8433, 454, 26156, 19377, 1107, 10588, 28054, 8433, 13478, 23077, 270, 9720, 302, 454, 4517, 16120, 543, 12832, 984, 541, 6816, 1107, 19634, 2740, 1855, 26387, 843, 541, 20229, 454, 2419, 663, 580, 541, 327, 1107, 12676, 300, 8433, 454, 291, 611, 571, 543, 18491, 541, 12794, 767, 328, 1107, 631, 600, 26245, 323, 541, 5604, 270, 8624, 937, 528, 5604, 454, 291, 16120, 543, 4144, 340, 1107, 631, 600, 26245, 323, 541, 5604, 270, 8624, 937, 528, 5604, 454, 22013, 6062, 1107, 12676, 300, 270, 5938, 26387, 843, 541, 270, 5425, 290, 630, 290, 527, 714, 523, 6796, 4741, 994, 297, 2459, 340, 543, 22758, 1107, 19634, 2740, 1855, 26387, 843, 541, 5510, 1182, 454, 299, 611, 12112, 1107, 19634, 2740, 1855, 26387, 843, 541, 5510, 1182, 454, 299, 27232, 611, 933, 788, 1107, 1855, 26387, 559, 1315, 3725, 15467, 14727, 22511, 8433, 454, 303, 644, 1075, 615, 787, 1107, 1855, 26387, 559, 1315, 3725, 15467, 14727, 22511, 8433, 454, 11742, 1974, 568, 3144, 676, 519, 8128, 547, 3390, 22634, 22783, 454, 288, 18588, 21423, 1107, 476, 1428, 2395, 543, 476, 1789, 2395, 585, 5254, 7121, 454, 6635, 684, 778, 531, 21423, 1107, 476, 1691, 2395, 454, 10112, 600, 1107, 476, 1789, 2395, 454, 289, 8811, 541, 1107, 476, 1015, 2324, 2395, 454, 30942, 26385, 3258, 327, 1107, 3502, 9138, 454, 7883, 320, 1107, 476, 1015, 2395, 454, 10817, 21186, 520, 1107, 3502, 9138, 454, 295, 776, 3570, 1107, 476, 278, 2324, 2395, 454, 295, 574, 778, 531, 21423, 1107, 3502, 9138, 454, 297, 327, 1046, 8518, 1107, 3502, 9138, 454, 298, 7568, 31540, 1107, 476, 2641, 2395, 454, 298, 27092, 1107, 476, 276, 2395, 454, 32743, 27256, 21423, 1107, 476, 1789, 2395, 454, 300, 1695, 541, 30773, 1107, 476, 3393, 2395, 454, 10048, 760, 584, 1107, 3502, 9138, 454, 9288, 724, 531, 11535, 1107, 3502, 9138, 454, 300, 714, 528, 600, 1107, 476, 273, 547, 476, 274, 2395, 454, 301, 698, 531, 663, 1107, 3502, 9138, 454, 302, 323, 22781, 1107, 3502, 9138, 454, 303, 684, 20602, 1107, 5455, 547, 476, 277, 2395, 454, 305, 1690, 553, 22474, 1107, 3502, 9138, 454, 306, 1731, 330, 574, 1107, 3502, 9138, 454, 307, 7056, 24385, 340, 1107, 3502, 9138, 454, 307, 601, 836, 3570, 1107, 476, 1428, 2395, 543, 476, 1789, 2395, 585, 5254, 7121, 454, 307, 8692, 3120, 1107, 476, 1428, 547, 476, 2412, 2395, 454, 308, 1777, 541, 21423, 1107, 476, 1428, 547, 476, 1839, 2395, 454, 308, 1777, 541, 752, 8518, 1107, 3502, 9138, 454, 26156, 19377, 1107, 3502, 9138, 454, 4517, 16120, 543, 12832, 984, 541, 6816, 1107, 27819, 476, 1691, 2395, 454, 2419, 663, 580, 541, 327, 1107, 476, 280, 547, 476, 1789, 2324, 2395, 454, 291, 611, 571, 543, 18491, 541, 12794, 767, 328, 1107, 476, 278, 547, 476, 1015, 2395, 454, 291, 16120, 543, 4144, 340, 1107, 476, 278, 547, 476, 1015, 2395, 454, 22013, 6062, 1107, 476, 1691, 2395, 454, 297, 2459, 340, 543, 22758, 1107, 3502, 9138, 454, 299, 611, 12112, 1107, 3502, 9138, 454, 299, 27232, 611, 933, 788, 1107, 3502, 9138, 454, 303, 644, 1075, 615, 787, 1107, 3502, 9138, 454, 763, 16516, 22634, 543, 16516, 11031, 941, 3773, 547, 519, 4095, 11156, 1931, 543, 519, 11156, 1931, 585, 16516, 11031, 538, 476, 4198, 271, 998, 15080, 476, 30130, 543, 476, 31079, 540, 519, 4095, 9139, 269, 0, 1103, 519, 7706, 540, 2413, 4915, 267, 5642, 20768, 1098, 17852, 723, 7153, 607, 513, 2565, 14634, 538, 519, 2126, 540, 1585, 11871, 269, 1452, 1272, 22766, 5773, 1404, 606, 7533, 1909, 693, 3056, 2860, 2126, 7740, 267, 5356, 4126, 543, 17105, 8458, 540, 6051, 547, 2550, 6849, 18447, 21904, 269, 2913, 779, 5490, 883, 519, 7096, 4644, 540, 5642, 20768, 1098, 17852, 538, 519, 2796, 540, 2860, 2126, 7740, 563, 8139, 24942, 3057, 992, 3690, 17852, 912, 289, 821, 20768, 267, 519, 29008, 344, 5160, 1336, 1369, 7633, 267, 568, 3743, 585, 6721, 2629, 1973, 3334, 899, 2699, 1973, 2281, 267, 3043, 1973, 2281, 267, 543, 6676, 7410, 269, 589, 5642, 20768, 13003, 267, 849, 1634, 607, 513, 22104, 641, 16211, 2045, 6565, 1591, 13003, 267, 3322, 13868, 8697, 610, 30428, 5642, 20768, 609, 2635, 6565, 2281, 267, 799, 616, 2901, 3144, 689, 519, 3461, 779, 1378, 1560, 630, 2246, 27881, 13003, 264, 610, 513, 15095, 20033, 630, 718, 10942, 545, 13003, 1040, 901, 5650, 568, 2523, 11358, 538, 8156, 11871, 602, 1860, 519, 1973, 543, 4761, 1062, 267, 971, 607, 26679, 267, 28623, 267, 543, 2789, 24869, 5448, 563, 763, 12472, 540, 9435, 9615, 15544, 912, 4692, 1356, 2126, 7740, 723, 7960, 883, 7463, 6703, 1141, 15834, 6887, 540, 32346, 5505, 267, 22104, 5505, 267, 10237, 5505, 267, 543, 824, 2564, 4966, 12840, 547, 1683, 3102, 1416, 547, 2860, 2550, 269, 1452, 7740, 9192, 5969, 12967, 4066, 609, 10531, 2126, 4566, 267, 2766, 1681, 4485, 547, 1142, 3461, 779, 2189, 2564, 1686, 543, 2115, 563, 763, 10020, 540, 24942, 3057, 992, 3690, 17852, 912, 289, 821, 20768, 1098, 17852, 723, 19117, 2860, 2126, 676, 5356, 513, 4960, 585, 2550, 547, 25580, 741, 19847, 4761, 1949, 269, 2311, 3056, 2860, 2126, 7740, 267, 891, 1098, 17852, 616, 1419, 2808, 950, 3044, 5574, 899, 18068, 543, 5982, 3797, 723, 711, 26857, 5551, 2164, 269, 634, 1098, 17852, 711, 1152, 5372, 29406, 2281, 609, 2635, 3283, 855, 849, 5512, 519, 1560, 547, 1732, 20496, 14021, 5574, 563, 5472, 10942, 545, 5288, 269, 4201, 27881, 3690, 17852, 912, 5472, 10942, 545, 5642, 20768, 1098, 17852, 4125, 1210, 6565, 2281, 689, 513, 15095, 20033, 267, 1419, 513, 1920, 4759, 610, 20775, 20033, 269, 901, 1826, 540, 13003, 3091, 519, 5413, 540, 1761, 21910, 268, 951, 639, 2389, 32214, 1198, 267, 1141, 519, 1098, 680, 5896, 4761, 2281, 5431, 543, 4323, 6967, 2860, 2281, 269, 1717, 267, 4466, 513, 5078, 20033, 666, 581, 4101, 563, 8505, 27881, 1098, 17852, 267, 593, 519, 824, 1688, 267, 946, 519, 3461, 779, 1378, 2635, 6565, 2281, 269, 1452, 2281, 616, 6394, 543, 6740, 1354, 1164, 1673, 846, 18068, 267, 543, 1287, 8120, 547, 519, 3461, 779, 1560, 1310, 2126, 269, 2755, 15877, 519, 21910, 268, 951, 639, 2389, 32214, 1198, 267, 1313, 27881, 1098, 17852, 2057, 519, 1981, 540, 21910, 268, 951, 639, 3620, 739, 2068, 267, 513, 1761, 28658, 540, 782, 10942, 545, 1098, 17852, 563, 22117, 532, 2860, 2126, 7740, 9772, 513, 23499, 1935, 547, 5642, 20768, 1098, 17852, 269, 589, 2319, 540, 12665, 27786, 2550, 685, 25046, 585, 519, 5650, 1759, 593, 2188, 899, 2949, 1072, 267, 2085, 267, 543, 519, 1826, 540, 2860, 269, 1403, 16363, 5078, 267, 519, 2319, 10974, 519, 3003, 13003, 1184, 267, 689, 6565, 1591, 4015, 547, 2022, 20675, 8690, 1416, 563, 28775, 543, 23046, 912, 2690, 2550, 32626, 10728, 3029, 540, 2860, 267, 5642, 20768, 1098, 17852, 2709, 811, 982, 1175, 513, 2126, 4781, 1107, 789, 2709, 4126, 269, 1452, 5773, 723, 3648, 4824, 6668, 3928, 543, 2298, 540, 1272, 585, 1082, 2043, 269, 5047, 267, 2860, 2126, 7740, 1683, 3929, 543, 5626, 1489, 547, 2550, 543, 741, 3885, 2429, 519, 13003, 3460, 267, 9301, 519, 11455, 2470, 540, 7067, 563, 1103, 3932, 267, 5642, 20768, 1098, 17852, 723, 7153, 607, 513, 22294, 540, 2860, 2126, 693, 3056, 2860, 2126, 7740, 269, 1452, 1272, 19145, 5773, 723, 2699, 18249, 519, 5251, 540, 2860, 1416, 267, 3246, 2550, 609, 17105, 27277, 543, 513, 4960, 693, 1121, 2153, 269, 1635, 9256, 5969, 12967, 2564, 7760, 609, 17519, 1416, 267, 891, 7740, 616, 5935, 519, 2104, 540, 2860, 2126, 543, 13321, 519, 2729, 540, 9118, 2043, 269, 0, 2080, 779, 875, 15191, 9817, 960, 538, 1906, 5220, 2336, 17098, 972, 3988, 256, 594, 917, 594, 16219, 585, 513, 1007, 2022, 2063, 15964, 855, 8909, 569, 594, 4076, 1044, 1360, 11112, 543, 594, 6557, 5963, 20994, 256, 594, 4126, 596, 2972, 713, 835, 256, 3767, 1577, 779, 1265, 856, 875, 15191, 9817, 960, 2336, 2690, 513, 15191, 2469, 14887, 982, 519, 3432, 540, 3280, 267, 519, 2599, 568, 3001, 998, 519, 2011, 693, 827, 476, 1911, 271, 5998, 10774, 630, 7785, 18890, 1040, 1284, 666, 1589, 540, 519, 2599, 607, 1373, 19335, 543, 519, 4411, 2011, 3001, 4724, 621, 693, 713, 3432, 563, 288, 10178, 693, 519, 4395, 647, 4242, 519, 4411, 2011, 883, 519, 2599, 543, 4229, 621, 998, 519, 29504, 269, 901, 25815, 519, 2011, 1524, 676, 827, 476, 2568, 2600, 543, 922, 3432, 568, 1631, 827, 476, 6110, 5998, 10774, 630, 13301, 18890, 1916, 288, 2034, 10178, 1572, 513, 26468, 17065, 8240, 519, 2011, 630, 27463, 1162, 922, 2604, 264, 676, 827, 5216, 2053, 267, 543, 713, 13497, 4679, 922, 2837, 563, 298, 14058, 2940, 630, 331, 18612, 4492, 264, 568, 17661, 1540, 883, 519, 2599, 689, 513, 4492, 7382, 538, 519, 7077, 781, 13617, 563, 1103, 519, 13674, 12068, 267, 1175, 3297, 519, 26468, 267, 519, 737, 14058, 2940, 30012, 609, 519, 19316, 2011, 543, 17236, 18979, 569, 267, 4758, 1055, 3905, 9688, 9362, 543, 6721, 513, 5458, 2333, 538, 2837, 269, 634, 8781, 7848, 10301, 513, 2837, 540, 1472, 476, 12010, 9180, 630, 13679, 271, 13790, 1916, 763, 9688, 9362, 19060, 2250, 513, 1305, 540, 17081, 19059, 267, 18343, 873, 899, 513, 2842, 17524, 269, 4595, 519, 17081, 12374, 1648, 267, 519, 9362, 1590, 6336, 519, 1482, 2179, 540, 1648, 11652, 789, 798, 865, 676, 9023, 1524, 5594, 543, 9561, 2604, 563, 763, 17081, 19059, 616, 4448, 547, 513, 1279, 4949, 548, 630, 21323, 676, 519, 1647, 12457, 1899, 264, 602, 8255, 519, 3259, 540, 519, 2599, 269, 634, 26468, 543, 519, 10178, 616, 849, 4448, 547, 713, 4949, 548, 269, 1924, 267, 607, 519, 17081, 19059, 8095, 267, 789, 849, 2490, 519, 26468, 543, 519, 10178, 563, 763, 3905, 9688, 9362, 14827, 519, 2599, 998, 513, 512, 1653, 532, 9688, 30979, 269, 3807, 607, 1216, 17065, 7458, 998, 513, 7522, 10612, 5787, 919, 13497, 883, 513, 3728, 15191, 630, 20459, 540, 1018, 4523, 538, 513, 1216, 16537, 565, 1070, 519, 512, 1653, 532, 1374, 540, 519, 9688, 30979, 2337, 547, 17108, 519, 9362, 547, 513, 3432, 540, 936, 476, 13975, 271, 5998, 10774, 630, 9873, 271, 18890, 1040, 1924, 519, 3905, 2011, 6028, 519, 2599, 693, 519, 1394, 568, 10707, 936, 7466, 519, 3432, 540, 519, 4411, 2011, 10024, 621, 693, 519, 4395, 11652, 602, 781, 1018, 7060, 519, 7077, 269, 13639, 32062, 1419, 723, 606, 1310, 6633, 518, 602, 2695, 16630, 4492, 883, 519, 9688, 15191, 547, 3132, 3063, 19876, 269, 634, 18807, 2173, 8221, 9688, 9362, 1379, 519, 15191, 4464, 269, 5221, 519, 7077, 568, 1454, 8273, 543, 18219, 982, 519, 9688, 9362, 621, 7472, 267, 519, 9688, 9362, 723, 547, 24680, 18807, 1454, 5488, 982, 519, 7077, 781, 1378, 3432, 563, 1103, 5618, 267, 596, 666, 1294, 602, 1142, 1292, 851, 540, 519, 2599, 1281, 513, 1114, 3364, 547, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 2588, 322, 267, 1287, 12337, 519, 942, 1714, 17863, 2094, 476, 876, 281, 876, 281, 876, 630, 1993, 1482, 1554, 13211, 825, 1948, 538, 1297, 540, 7643, 454, 825, 1948, 2132, 602, 942, 1714, 17863, 692, 825, 554, 327, 267, 6515, 267, 521, 338, 815, 942, 19544, 712, 267, 942, 269, 2381, 1393, 267, 942, 269, 16149, 454, 825, 15558, 815, 942, 269, 4752, 3553, 692, 825, 1714, 17863, 18425, 26000, 6948, 815, 554, 327, 2608, 7643, 18425, 19963, 20189, 712, 1341, 6515, 2608, 7643, 18425, 19963, 28804, 1393, 1341, 521, 338, 454, 825, 15558, 5334, 793, 815, 15558, 314, 271, 2639, 825, 15558, 318, 600, 339, 18425, 26000, 6948, 815, 1608, 318, 4752, 3553, 318, 26920, 263, 4752, 3553, 314, 272, 281, 7481, 825, 952, 15558, 5334, 793, 2652, 1412, 266, 12466, 1038, 2132, 1714, 17863, 18425, 26000, 6948, 910, 15558, 318, 600, 339, 18425, 26000, 6948, 454, 825, 3116, 912, 1038, 2132, 1714, 17863, 18425, 26000, 6948, 1341, 15558, 318, 600, 339, 18425, 26000, 6948, 7531, 258, 7736, 540, 1250, 1378, 6388, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2119, 912, 1038, 535, 696, 337, 815, 1930, 263, 657, 269, 523, 1333, 9131, 5495, 9143, 7473, 318, 303, 26059, 28710, 1412, 342, 5073, 825, 4849, 18983, 2153, 13286, 912, 1038, 535, 696, 337, 815, 1930, 3488, 907, 270, 907, 270, 907, 270, 339, 3949, 270, 5503, 5091, 12265, 318, 719, 17902, 3299, 1412, 342, 17210, 825, 512, 815, 703, 9272, 31156, 825, 585, 512, 318, 527, 337, 538, 2039, 6025, 2187, 1038, 512, 272, 815, 3403, 10797, 1038, 512, 273, 815, 3403, 10797, 1038, 18232, 815, 942, 5091, 12265, 6025, 272, 267, 512, 273, 2020, 1038, 535, 696, 337, 22182, 19304, 5560, 12265, 264, 1341, 1412, 315, 333, 17210, 1038, 1250, 5091, 12265, 815, 1250, 22710, 5091, 12265, 6025, 272, 267, 512, 273, 2020, 825, 535, 696, 337, 25379, 4590, 0, 26611, 16535, 270, 7090, 274, 692, 5814, 15259, 7531, 16482, 258, 13159, 519, 1412, 516, 18727, 17806, 262, 1599, 2630, 563, 16482, 258, 634, 1599, 568, 4397, 547, 2132, 513, 31031, 5058, 563, 258, 634, 1599, 24693, 31031, 5058, 590, 607, 9936, 563, 258, 692, 3698, 1642, 318, 10420, 318, 8578, 318, 19387, 263, 19387, 29223, 267, 521, 2187, 825, 952, 23684, 29223, 2652, 476, 271, 281, 476, 1948, 693, 1376, 540, 5569, 521, 454, 1038, 1780, 454, 825, 3116, 281, 476, 1948, 18419, 7173, 1347, 952, 723, 454, 1038, 952, 7003, 4433, 264, 3436, 476, 271, 912, 2018, 7173, 318, 10420, 815, 521, 314, 19387, 29223, 910, 476, 272, 2639, 2018, 521, 31927, 263, 2181, 341, 318, 10420, 994, 1038, 2132, 521, 7531, 3698, 4607, 17806, 4433, 2187, 825, 1948, 521, 3568, 5824, 5022, 267, 19156, 267, 9704, 267, 543, 2185, 2027, 3197, 454, 825, 1948, 519, 12961, 609, 519, 737, 321, 786, 1118, 519, 23684, 7914, 1472, 538, 519, 4611, 5569, 2676, 825, 1948, 865, 649, 991, 547, 1832, 3950, 540, 922, 2990, 547, 1039, 1347, 338, 538, 2953, 2990, 780, 825, 2027, 15220, 1513, 815, 18358, 283, 3299, 1412, 285, 3299, 24003, 3299, 1412, 258, 23300, 825, 759, 815, 11713, 825, 23684, 29223, 815, 476, 271, 454, 825, 562, 19571, 6674, 7272, 5962, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 4433, 15892, 1038, 1948, 6023, 2027, 1347, 338, 454, 1038, 952, 521, 5157, 316, 2652, 24003, 12466, 2018, 759, 815, 1642, 318, 10420, 318, 8578, 318, 19387, 263, 19387, 29223, 267, 759, 994, 1038, 952, 521, 5157, 316, 2652, 1412, 285, 9166, 476, 1948, 1847, 547, 1439, 540, 759, 5569, 547, 3341, 585, 4946, 1347, 338, 689, 972, 630, 331, 831, 994, 2018, 23684, 29223, 815, 7003, 263, 637, 994, 1038, 952, 521, 5157, 316, 2652, 1412, 283, 9166, 476, 1948, 1847, 547, 1376, 540, 759, 5569, 454, 2018, 23684, 29223, 815, 476, 271, 454, 1038, 952, 521, 5157, 316, 2652, 1412, 258, 9166, 1948, 2899, 1003, 6674, 568, 20399, 267, 621, 568, 12758, 888, 2018, 562, 19571, 6674, 7272, 5962, 6834, 476, 272, 692, 1038, 952, 630, 338, 5157, 316, 711, 538, 2027, 15220, 1513, 264, 543, 711, 521, 5157, 4940, 529, 323, 13424, 263, 2567, 476, 1948, 7696, 7363, 454, 2018, 759, 27044, 263, 19387, 29223, 267, 521, 5157, 7481, 2018, 23684, 29223, 6834, 476, 272, 692, 1038, 952, 521, 5157, 4940, 529, 323, 13424, 3890, 543, 562, 19571, 6674, 7272, 5962, 2652, 476, 271, 912, 2018, 759, 27044, 263, 19387, 29223, 267, 521, 5157, 7481, 2018, 23684, 29223, 6834, 476, 272, 454, 1038, 952, 521, 5157, 4940, 529, 323, 13424, 3890, 543, 562, 19571, 6674, 7272, 5962, 3436, 476, 271, 281, 476, 1948, 3112, 946, 1022, 1297, 267, 865, 1175, 18178, 621, 454, 2018, 1780, 692, 825, 2132, 1412, 8339, 21860, 263, 637, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 535, 696, 337, 815, 1930, 263, 657, 269, 523, 1333, 9131, 5495, 9143, 7473, 318, 303, 26059, 28710, 1412, 342, 5073, 825, 535, 696, 337, 815, 1930, 2891, 2908, 17624, 321, 318, 719, 17902, 2580, 1412, 342, 17210, 825, 590, 815, 3403, 10797, 825, 1267, 815, 4607, 17806, 22829, 2020, 825, 535, 696, 337, 22182, 31114, 1341, 1412, 315, 333, 17210, 825, 535, 696, 337, 25379, 4590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 296, 723, 1079, 14449, 602, 594, 1131, 899, 547, 5659, 1927, 269, 634, 1101, 10471, 814, 6177, 9566, 6753, 538, 16973, 630, 333, 652, 1040, 634, 2034, 10471, 814, 6177, 28680, 6753, 538, 16973, 630, 25988, 1040, 2311, 1142, 2473, 267, 312, 4087, 540, 1426, 594, 849, 723, 1344, 827, 519, 2179, 540, 1426, 630, 2169, 550, 540, 519, 4199, 1040, 3962, 540, 891, 616, 1448, 3337, 325, 3796, 538, 20211, 31043, 563, 296, 1131, 899, 547, 1711, 513, 1159, 2393, 1117, 2627, 630, 25988, 678, 2120, 264, 540, 1426, 865, 594, 666, 1349, 513, 1426, 4994, 1871, 585, 519, 4087, 540, 1142, 9566, 538, 1250, 10471, 269, 634, 1426, 4994, 1058, 4096, 593, 519, 2282, 1145, 540, 513, 6177, 12890, 518, 547, 602, 9566, 267, 543, 519, 6708, 540, 1426, 693, 602, 6177, 12890, 518, 563, 296, 1031, 5192, 529, 18103, 16902, 265, 547, 5352, 1990, 338, 13990, 585, 1142, 540, 1250, 1426, 6753, 630, 7076, 532, 1142, 4087, 1759, 593, 6708, 540, 4199, 1070, 543, 1287, 1031, 891, 2418, 538, 9517, 310, 2079, 269, 1717, 267, 519, 5192, 529, 18103, 16902, 265, 1990, 338, 13990, 616, 1312, 2318, 543, 2942, 1317, 789, 5635, 519, 1426, 1871, 693, 1142, 4087, 547, 519, 1611, 1426, 1871, 693, 782, 540, 519, 29650, 1369, 519, 8378, 269, 634, 1267, 568, 602, 930, 540, 1250, 29650, 2490, 856, 547, 581, 834, 3712, 1091, 26105, 257, 538, 519, 4611, 9517, 310, 678, 2120, 563, 1432, 594, 9364, 899, 568, 513, 1426, 678, 2120, 1141, 782, 540, 519, 1426, 6753, 616, 834, 14653, 257, 630, 1729, 8795, 5232, 8200, 593, 6708, 264, 543, 796, 1889, 25979, 6753, 616, 676, 4214, 834, 322, 27212, 257, 982, 891, 630, 20357, 594, 917, 972, 616, 711, 29650, 972, 1916, 9989, 4896, 917, 540, 513, 1259, 547, 798, 713, 630, 324, 3052, 269, 1526, 1778, 519, 2098, 338, 13990, 865, 789, 616, 782, 2318, 610, 6382, 14574, 602, 519, 6027, 2798, 616, 782, 834, 14653, 8442, 888, 7775, 798, 594, 991, 547, 946, 606, 14595, 2079, 15587, 888, 296, 723, 7318, 918, 14701, 593, 891, 1239, 607, 1134, 855, 1131, 4782, 9517, 310, 952, 2009, 1317, 2789, 4610, 540, 918, 14701, 616, 6074, 693, 519, 834, 3369, 574, 257, 540, 519, 11001, 269, 594, 1589, 594, 949, 723, 513, 2352, 942, 21108, 5079, 540, 19961, 267, 3092, 269, 609, 1250, 14449, 269, 0, 300, 28854, 267, 9381, 23047, 1127, 616, 968, 338, 2748, 532, 23766, 892, 602, 1223, 4339, 2916, 1689, 267, 3744, 2161, 269, 12824, 6594, 519, 3327, 19526, 2476, 538, 23780, 540, 26868, 16095, 689, 1472, 519, 1158, 269, 1358, 2161, 602, 519, 11091, 540, 9381, 19126, 568, 2565, 585, 19086, 2518, 8337, 563, 10666, 15117, 28711, 454, 1607, 2278, 814, 2943, 547, 2328, 741, 6915, 8160, 6756, 6112, 13071, 1175, 2161, 602, 649, 616, 10583, 15117, 28711, 8329, 513, 945, 14563, 476, 3199, 13366, 563, 22209, 1845, 676, 15117, 28711, 454, 299, 657, 1965, 14673, 518, 345, 657, 11188, 1487, 322, 597, 17485, 9362, 632, 552, 2739, 334, 12679, 333, 611, 3266, 1100, 911, 523, 1267, 15606, 282, 694, 791, 821, 3288, 513, 2364, 24265, 632, 521, 626, 655, 553, 6446, 7001, 333, 1714, 3327, 334, 1642, 513, 790, 267, 635, 334, 3288, 575, 534, 14575, 17144, 1036, 10273, 520, 10216, 563, 14197, 24759, 267, 5084, 300, 267, 595, 1173, 650, 267, 31780, 779, 267, 543, 634, 7186, 20271, 3599, 616, 1851, 476, 1015, 3549, 543, 18758, 3906, 602, 616, 8108, 513, 3084, 2344, 676, 476, 1708, 273, 547, 10996, 643, 1125, 519, 10073, 540, 8105, 2853, 602, 1628, 3037, 3327, 543, 2087, 1216, 5726, 563, 763, 3057, 514, 12539, 5741, 814, 1044, 14957, 585, 3327, 3524, 652, 1674, 538, 6694, 11934, 2094, 476, 1220, 279, 269, 1358, 3323, 609, 519, 2243, 281, 2052, 649, 2333, 519, 7001, 540, 3327, 538, 519, 6694, 3338, 1934, 538, 3057, 514, 6019, 286, 634, 2319, 4956, 547, 5659, 3037, 3327, 2157, 543, 2030, 7607, 2066, 476, 2420, 1114, 11396, 267, 930, 540, 799, 1185, 3327, 11656, 11003, 609, 23226, 3773, 547, 519, 3037, 563, 763, 6167, 5463, 1228, 593, 23270, 26198, 267, 9516, 676, 519, 4937, 13909, 593, 476, 272, 4728, 267, 786, 2196, 689, 476, 1708, 272, 547, 476, 10711, 271, 543, 11168, 18440, 5346, 540, 11808, 960, 547, 2232, 519, 4049, 12159, 540, 8916, 267, 1519, 19126, 543, 12748, 8134, 267, 5001, 269, 898, 786, 2693, 5818, 5251, 11808, 960, 547, 519, 1283, 540, 3084, 989, 31789, 267, 2679, 593, 513, 1857, 3747, 585, 2962, 593, 2152, 971, 607, 2916, 1689, 267, 9265, 2530, 267, 543, 519, 4611, 5222, 593, 11615, 543, 24454, 563, 763, 6284, 8711, 14222, 2853, 14027, 519, 5912, 2509, 29436, 1815, 1108, 689, 519, 2518, 3162, 269, 4934, 540, 476, 6507, 9930, 5209, 689, 476, 4510, 2477, 267, 476, 1428, 4309, 2369, 1431, 267, 1519, 2853, 689, 2066, 4000, 267, 5607, 543, 5824, 3013, 563, 3383, 559, 2298, 568, 513, 3395, 1445, 538, 519, 6940, 2230, 267, 543, 585, 1434, 2601, 281, 674, 1068, 850, 3037, 6923, 11689, 3278, 519, 2916, 543, 5849, 14388, 3761, 11800, 269, 1809, 513, 3791, 540, 519, 4541, 779, 2244, 568, 16094, 28811, 267, 543, 15417, 3037, 568, 1373, 4503, 693, 519, 2557, 540, 476, 2190, 5479, 9748, 513, 1032, 267, 2687, 547, 513, 476, 1001, 278, 2136, 8315, 1532, 17977, 1353, 269, 1924, 267, 513, 1507, 855, 3395, 1895, 540, 3549, 2443, 930, 2047, 538, 6683, 610, 10443, 4221, 267, 1866, 18549, 3842, 27126, 2443, 616, 10115, 538, 2635, 3037, 7341, 563, 8802, 17654, 6683, 3217, 14942, 3800, 547, 25579, 880, 519, 3618, 267, 2864, 982, 13708, 1076, 609, 519, 1761, 1279, 3856, 4539, 540, 3044, 8105, 2853, 563, 303, 4382, 1938, 543, 3114, 18168, 798, 711, 1711, 1072, 538, 519, 1426, 267, 519, 7082, 267, 519, 3037, 267, 519, 2011, 267, 610, 519, 1216, 269, 1284, 991, 585, 782, 540, 938, 1949, 547, 581, 2635, 1586, 563, 1692, 5186, 680, 663, 543, 2250, 999, 616, 7307, 568, 519, 1034, 2500, 1259, 547, 16185, 2916, 1689, 267, 606, 1935, 602, 3884, 1406, 3478, 519, 3007, 621, 19262, 267, 2687, 547, 513, 3056, 3037, 3235, 6048, 689, 5245, 945, 14753, 1472, 519, 1158, 593, 3037, 1072, 563, 5472, 26988, 23190, 616, 20952, 1043, 547, 519, 2407, 6708, 4847, 676, 519, 1876, 563, 15100, 476, 1001, 280, 3204, 523, 3130, 4139, 0, 15761, 847, 338, 689, 1114, 2694, 540, 713, 1216, 2030, 1519, 922, 3762, 267, 11710, 267, 5072, 543, 5452, 723, 1044, 4080, 547, 1397, 1896, 2640, 267, 971, 607, 15934, 267, 1863, 9097, 25094, 27701, 267, 4550, 13611, 267, 543, 6375, 334, 21524, 17419, 2238, 269, 25120, 7315, 553, 723, 849, 1044, 1031, 538, 3909, 12738, 538, 3127, 563, 19950, 5944, 267, 519, 2603, 639, 5452, 616, 849, 1572, 16541, 2428, 610, 575, 3073, 517, 2428, 269, 1717, 267, 1373, 1970, 538, 3170, 543, 1164, 538, 11950, 267, 891, 616, 6484, 958, 3982, 689, 10808, 543, 5452, 269, 20769, 639, 5452, 616, 513, 1434, 2707, 540, 3940, 267, 11950, 267, 20249, 267, 13101, 267, 11379, 267, 16903, 267, 4401, 543, 13058, 269, 20769, 639, 5452, 616, 849, 1970, 538, 9770, 563, 19853, 1970, 9770, 543, 1164, 13101, 1543, 2306, 873, 3730, 585, 1346, 7092, 689, 2295, 3676, 267, 1164, 1973, 2604, 267, 3987, 543, 8377, 269, 1452, 5452, 723, 1044, 1031, 14916, 538, 2757, 31970, 543, 4457, 4915, 585, 741, 1072, 2640, 543, 616, 12595, 585, 741, 9422, 543, 7067, 3601, 563, 4322, 5452, 2270, 606, 4550, 268, 1645, 11747, 267, 799, 568, 5156, 547, 948, 7816, 8697, 5946, 269, 20769, 639, 5452, 616, 849, 1634, 547, 2270, 25697, 11391, 2536, 565, 267, 513, 2067, 32064, 1355, 849, 1336, 538, 6995, 799, 11151, 6553, 543, 10172, 269, 898, 568, 5156, 602, 28777, 2603, 639, 5452, 1118, 513, 6995, 12990, 269, 769, 1840, 267, 2603, 639, 5452, 616, 1164, 593, 32443, 1729, 5991, 19153, 630, 323, 1047, 848, 8165, 5567, 264, 1519, 30175, 6950, 267, 7086, 545, 3679, 267, 18682, 517, 1231, 563, 7197, 3648, 267, 519, 29944, 4994, 540, 2603, 639, 6079, 568, 3648, 2539, 982, 1034, 1164, 19346, 3536, 899, 7573, 267, 3694, 543, 1866, 269, 898, 5526, 602, 2603, 639, 5452, 949, 723, 513, 6225, 1198, 593, 15847, 2043, 267, 543, 949, 581, 835, 540, 519, 811, 3617, 3536, 585, 873, 269, 4340, 547, 25072, 320, 267, 2603, 639, 5452, 723, 513, 11415, 550, 3601, 602, 723, 1808, 2640, 547, 519, 14401, 267, 4543, 547, 11177, 4105, 1648, 1369, 519, 1560, 563, 763, 5452, 666, 581, 13881, 6151, 267, 28777, 267, 610, 2666, 543, 23017, 883, 513, 21360, 610, 13594, 269, 634, 1034, 1455, 946, 540, 519, 6079, 568, 538, 519, 1106, 540, 2603, 639, 6079, 13594, 267, 799, 568, 1031, 14916, 538, 4457, 2250, 1845, 607, 1134, 607, 538, 5545, 28916, 269, 667, 3072, 2603, 639, 5452, 949, 581, 865, 8898, 538, 1216, 16074, 1991, 547, 946, 269, 1358, 666, 1287, 581, 3773, 2047, 547, 27130, 267, 25235, 610, 1031, 538, 824, 8286, 269, 623, 4428, 539, 5452, 616, 1031, 538, 1225, 1845, 267, 737, 515, 518, 267, 30077, 902, 543, 3819, 28777, 16152, 563, 3383, 2484, 267, 607, 972, 616, 1100, 2143, 5359, 593, 519, 6757, 2360, 540, 1279, 3856, 4616, 540, 2603, 639, 5452, 543, 741, 2472, 267, 2417, 6901, 616, 11562, 5896, 269, 4014, 2428, 15869, 11472, 1871, 540, 2603, 639, 5452, 568, 3964, 267, 2417, 5730, 3408, 540, 1871, 14194, 4765, 7135, 1522, 581, 6225, 538, 1072, 13319, 563, 299, 582, 639, 5452, 3180, 513, 9621, 2104, 607, 606, 14595, 15347, 6954, 3940, 7110, 543, 1761, 2428, 571, 268, 576, 11472, 543, 14453, 2707, 269, 2349, 2056, 922, 7912, 609, 824, 6484, 958, 3638, 22053, 899, 13005, 1023, 543, 29704, 610, 2113, 7410, 899, 536, 1690, 571, 543, 795, 578, 541, 786, 581, 540, 10373, 1871, 547, 1020, 1970, 21057, 267, 15347, 6954, 267, 3940, 11656, 1426, 9360, 547, 8396, 22926, 267, 3226, 4143, 547, 3127, 269, 9747, 267, 6338, 519, 2048, 332, 12112, 3570, 685, 15165, 1426, 538, 707, 2834, 2732, 585, 602, 2635, 6316, 563, 4942, 944, 544, 752, 25301, 799, 568, 849, 1134, 1634, 607, 16541, 10808, 610, 2603, 639, 5452, 814, 1044, 8810, 547, 581, 1164, 5567, 1426, 799, 568, 3638, 540, 2564, 3601, 1434, 585, 3232, 1072, 2732, 269, 634, 5567, 8659, 616, 519, 2706, 2707, 585, 6171, 267, 7777, 543, 6775, 1247, 519, 2564, 3601, 723, 1044, 8810, 547, 581, 6225, 585, 15847, 3461, 543, 1346, 945, 723, 13119, 1686, 269, 12989, 616, 476, 736, 1072, 2640, 540, 943, 944, 544, 12112, 3570, 596, 1058, 917, 912, 4942, 944, 25120, 7315, 7469, 944, 544, 12112, 3570, 568, 513, 1434, 15165, 585, 1346, 945, 723, 12008, 4524, 269, 5502, 540, 2921, 12008, 21447, 267, 2879, 1136, 943, 944, 544, 12112, 3570, 568, 513, 1454, 8902, 3070, 547, 4308, 609, 20026, 563, 23613, 540, 25289, 454, 21430, 2386, 602, 707, 1560, 814, 2614, 7513, 547, 1489, 707, 3232, 2534, 568, 513, 1590, 269, 1703, 616, 513, 2603, 540, 7513, 9360, 2472, 1223, 581, 1336, 538, 519, 2344, 2221, 269, 1717, 267, 798, 596, 917, 513, 8902, 1259, 547, 1205, 7513, 585, 707, 1560, 286, 1912, 944, 631, 12112, 3570, 568, 513, 1434, 15165, 607, 1134, 607, 513, 1434, 2707, 585, 7513, 563, 14187, 585, 10552, 16242, 454, 763, 1164, 11379, 543, 2539, 9770, 8659, 538, 943, 944, 544, 12112, 3570, 568, 1434, 585, 513, 1268, 609, 13119, 269, 898, 1797, 267, 10438, 943, 944, 544, 12112, 3570, 1223, 948, 538, 15725, 519, 1973, 2604, 267, 519, 2539, 9770, 1131, 711, 1860, 519, 1973, 2604, 1247, 11379, 786, 948, 538, 13302, 621, 563, 26670, 766, 20351, 13437, 454, 1103, 2367, 267, 10438, 943, 944, 544, 12112, 3570, 568, 2111, 547, 3986, 741, 3023, 1272, 1813, 547, 519, 2810, 540, 14203, 7274, 1247, 538, 2021, 10438, 943, 944, 544, 12112, 3570, 1223, 948, 873, 2810, 741, 12680, 1932, 563, 2690, 1346, 945, 723, 1966, 609, 12263, 267, 943, 944, 544, 12112, 3570, 799, 568, 865, 3638, 540, 7513, 568, 3810, 5227, 15165, 563, 13900, 4771, 1546, 2718, 609, 6226, 3878, 454, 4942, 944, 631, 12112, 3570, 568, 711, 1152, 2635, 547, 581, 10057, 3232, 855, 849, 5227, 585, 1346, 945, 723, 12536, 1966, 1317, 943, 944, 544, 12112, 3570, 568, 1360, 1164, 538, 6775, 799, 568, 8810, 547, 581, 1434, 585, 1560, 10307, 563, 763 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 2635, 20169, 814, 2919, 4064, 267, 513, 2919, 3308, 13374, 267, 607, 1134, 607, 519, 2634, 779, 5075, 8998, 267, 855, 741, 5075, 814, 711, 2943, 1044, 6534, 547, 5007, 15128, 267, 865, 29507, 723, 2943, 547, 1451, 875, 547, 946, 621, 269, 769, 741, 1101, 2395, 540, 1272, 267, 519, 20169, 5205, 3677, 3615, 609, 741, 4064, 267, 543, 538, 513, 1906, 4374, 267, 789, 29596, 4431, 609, 513, 12837, 950, 789, 1294, 741, 3993, 779, 3068, 269, 3245, 4332, 267, 11299, 7119, 538, 9591, 3750, 3346, 609, 741, 4816, 267, 7620, 713, 5631, 4386, 1282, 8023, 950, 519, 20169, 568, 5702, 8384, 519, 3993, 269, 13786, 525, 547, 3308, 15128, 949, 1020, 811, 7444, 543, 7930, 267, 4470, 593, 519, 1126, 267, 855, 693, 3670, 4374, 9002, 1058, 1020, 2298, 3750, 3346, 609, 519, 3993, 267, 29596, 14902, 950, 789, 1294, 1200, 1256, 1498, 1352, 568, 711, 2047, 2502, 873, 543, 789, 1058, 581, 2111, 547, 1463, 741, 22401, 693, 1804, 3688, 269, 769, 519, 9998, 1974, 267, 519, 4816, 15055, 547, 7747, 17804, 3109, 543, 3043, 3270, 267, 621, 568, 2663, 602, 789, 616, 13631, 547, 15437, 543, 8188, 563, 2026, 2038, 607, 9251, 2085, 267, 741, 3308, 8226, 7930, 4203, 2231, 519, 4162, 540, 2937, 5075, 269, 4475, 267, 32373, 539, 31659, 5470, 540, 519, 3750, 610, 824, 32373, 539, 3750, 3676, 538, 9251, 543, 2038, 1153, 2085, 666, 723, 26464, 4539, 593, 5075, 1646, 269, 901, 4016, 538, 1880, 547, 519, 5605, 569, 8328, 1981, 3815, 602, 10953, 909, 547, 519, 2085, 540, 476, 1428, 269, 4438, 713, 1974, 267, 621, 568, 5393, 1271, 547, 2697, 1761, 5605, 569, 8328, 1981, 2188, 543, 1521, 873, 5265, 267, 971, 607, 8716, 519, 946, 540, 513, 1126, 779, 27823, 3750, 676, 8720, 519, 2635, 3750, 282, 547, 3713, 543, 4907, 1227, 1521, 22787, 25942, 9711, 2038, 282, 547, 21559, 3617, 14296, 2390, 3257, 4255, 971, 607, 7814, 963, 11551, 1201, 3555, 267, 3092, 563, 7212, 649, 666, 3565, 519, 1034, 547, 519, 1646, 540, 513, 1126, 779, 5075, 693, 513, 1360, 2038, 2085, 267, 32661, 903, 8344, 4255, 723, 3254, 602, 8849, 4296, 616, 4646, 543, 519, 3308, 13374, 568, 20979, 607, 3735, 607, 519, 2085, 540, 476, 736, 0, 296, 6415, 15265, 609, 8638, 855, 594, 4312, 3893, 513, 1544, 585, 606, 4603, 602, 4481, 3096, 873, 267, 865, 594, 991, 547, 2307, 875, 594, 1223, 946, 873, 538, 519, 1259, 594, 1616, 563, 1692, 1131, 594, 1711, 476, 273, 8638, 5627, 476, 3953, 4632, 267, 1142, 609, 513, 1871, 540, 28219, 263, 272, 267, 273, 1040, 4746, 875, 1131, 594, 1287, 5659, 519, 476, 3953, 4632, 538, 1142, 269, 13018, 952, 835, 568, 3152, 982, 621, 781, 11218, 538, 519, 2034, 1592, 563, 7069, 1544, 568, 513, 2370, 27967, 693, 519, 4090, 855, 519, 2856, 568, 602, 1142, 1592, 6411, 607, 513, 4990, 540, 12733, 602, 666, 4161, 824, 10125, 269, 901, 3884, 1405, 513, 3014, 538, 519, 9759, 602, 513, 6345, 666, 3094, 621, 267, 621, 781, 811, 540, 513, 6310, 3014, 2147, 547, 519, 3014, 540, 1272, 630, 28053, 983, 14825, 1092, 1916, 12552, 585, 707, 948, 563, 21801, 476, 1321, 476, 1001, 272, 267, 476, 274, 281, 4905, 993, 0, 763, 25930, 26267, 814, 1044, 513, 3090, 540, 519, 2136, 2276, 2094, 476, 9965, 273, 950, 621, 729, 5116, 593, 519, 4279, 1530, 531, 540, 519, 4182, 3294, 269, 4595, 1287, 267, 519, 6071, 8289, 540, 621, 267, 950, 5116, 593, 5656, 610, 6054, 267, 814, 8612, 519, 1360, 4527, 543, 9997, 540, 519, 2136, 2276, 269, 634, 2392, 2218, 6177, 814, 6273, 11348, 538, 1082, 945, 1289, 713, 4182, 1753, 267, 543, 922, 7333, 1676, 814, 1044, 5645, 29143, 1227, 543, 13383, 1282, 2518, 7526, 269, 11408, 4712, 269, 11408, 5423, 269, 634, 23914, 2220, 334, 3591, 883, 2962, 950, 2877, 1034, 269, 670, 836, 713, 4190, 4062, 593, 4159, 547, 7618, 11570, 1946, 649, 616, 1394, 3562, 25746, 2622, 2782, 9106, 1186, 256, 0, 3963, 798, 865, 1082, 31911, 2611, 3768, 328, 30938, 286, 2164, 689, 513, 19976, 7634, 454, 26607, 11888, 267, 5437, 476, 277, 267, 476, 1001, 274, 454, 281, 476, 1321, 281, 6321, 533, 6230, 269, 910, 476, 272, 281, 1691, 533, 6230, 563, 308, 526, 328, 30938, 3987, 3788, 513, 2101, 1857, 1072, 4161, 269, 27051, 476, 1724, 260, 540, 519, 2937, 2475, 2551, 814, 3987, 267, 540, 799, 476, 2412, 260, 568, 3768, 328, 30938, 269, 3509, 31911, 723, 519, 2068, 585, 476, 278, 268, 1015, 1296, 1991, 547, 5868, 269, 634, 6662, 540, 713, 1382, 729, 547, 2697, 543, 22945, 2188, 602, 16174, 1346, 8995, 609, 3987, 8957, 1346, 945, 2611, 3768, 328, 30938, 269, 634, 11785, 9351, 7991, 2657, 630, 289, 21815, 264, 11752, 568, 513, 19976, 630, 1220, 273, 268, 1001, 273, 1070, 7292, 569, 270, 996, 333, 1227, 3309, 630, 14937, 267, 17104, 267, 6519, 264, 20165, 1353, 269, 4635, 513, 24019, 9584, 5690, 630, 10619, 260, 8417, 267, 476, 6078, 260, 23506, 1070, 649, 4857, 476, 23211, 2693, 3768, 328, 30938, 31911, 945, 941, 9672, 693, 1246, 5346, 547, 723, 2901, 8995, 610, 3768, 328, 30938, 630, 325, 8463, 7280, 3436, 476, 10219, 8406, 7933, 299, 264, 3987, 269, 2991, 606, 3328, 540, 476, 278, 269, 273, 1296, 540, 1246, 5346, 267, 476, 1321, 269, 275, 260, 1185, 1044, 8995, 267, 1247, 476, 1724, 269, 273, 260, 7283, 3768, 328, 30938, 269, 25037, 532, 609, 3105, 2090, 649, 1336, 9444, 1124, 1675, 655, 4919, 2188, 630, 15869, 270, 30710, 640, 267, 2085, 267, 7694, 4567, 267, 13567, 267, 2069, 267, 562, 18356, 267, 29281, 4567, 1070, 2564, 1416, 1569, 3800, 630, 1231, 4269, 267, 2834, 1416, 267, 11564, 547, 519, 4387, 1070, 6862, 1034, 1072, 3800, 630, 1260, 27225, 2175, 267, 1920, 1686, 540, 3987, 267, 6646, 946, 693, 15977, 264, 13747, 519, 8995, 689, 519, 3768, 328, 30938, 269, 5564, 21725, 26848, 9695, 3631, 7000, 3987, 5868, 729, 1644, 547, 4358, 946, 540, 2493, 1231, 630, 3036, 284, 277, 269, 10844, 267, 16275, 476, 273, 269, 3374, 268, 736, 269, 4391, 28872, 284, 283, 271, 269, 9826, 264, 610, 4550, 1506, 13630, 2400, 6527, 630, 3036, 476, 271, 269, 1789, 267, 16275, 476, 271, 269, 6021, 268, 271, 269, 11152, 267, 533, 284, 271, 269, 271, 4391, 1040, 901, 4466, 949, 5815, 3987, 568, 8995, 694, 16781, 760, 527, 3585, 630, 534, 6397, 4466, 5833, 689, 513, 8470, 1247, 10992, 8501, 2157, 1070, 4929, 513, 10629, 547, 14719, 622, 3987, 543, 1449, 14013, 269, 2859, 9836, 2038, 543, 1942, 3608, 7020, 267, 543, 1447, 688, 874, 1794, 731, 23139, 610, 694, 16781, 760, 527, 748, 5868, 267, 568, 2838, 952, 649, 616, 547, 6707, 4383, 519, 24567, 15435, 540, 3987, 563, 26368, 2188, 602, 16174, 1346, 8995, 609, 3987, 8957, 1346, 945, 2611, 3768, 328, 30938, 563, 7659, 5320, 4433, 2567, 12128, 267, 30587, 454, 303, 6974, 532, 2278, 781, 23930, 3948, 912, 304, 783, 1881, 593, 519, 1543, 594, 993, 3743, 585, 1317, 281, 594, 723, 1044, 519, 9030, 31375, 540, 2789, 10480, 518, 958, 14102, 14828, 6313, 7292, 543, 6803, 13103, 538, 5312, 2068, 630, 10972, 3449, 267, 9025, 2068, 267, 579, 6331, 545, 2589, 267, 543, 1928, 1040, 3733, 3119, 3621, 1719, 568, 771, 550, 836, 1782, 519, 1082, 20334, 547, 7292, 270, 30710, 13103, 538, 5312, 2068, 563, 12179, 4143, 2883, 3347, 286, 3143, 454, 296, 3858, 547, 16783, 609, 519, 1977, 5398, 2657, 5948, 18366, 540, 9314, 543, 20497, 8081, 13832, 2676, 663, 547, 30035, 547, 519, 5171, 1022, 1055, 2000, 8475, 610, 8097, 3096, 540, 513, 5010, 1587, 610, 3028, 5941, 454, 514, 1250, 6881, 269, 0, 291, 15967, 543, 519, 20550, 13239, 3619, 547, 8805, 281, 6478, 9612, 476, 273, 454, 20091, 1772, 27284, 454, 5475, 2542, 667, 15967, 543, 519, 20550, 13239, 3619, 547, 8805, 676, 5204, 323, 32129, 267, 946, 713, 7792, 543, 6478, 9612, 11015, 547, 8831, 2875, 1565, 269, 4855, 543, 5858, 1913, 2066, 267, 1524, 267, 543, 25241, 958, 563, 275, 910, 476, 279, 454, 7093, 11860, 910, 476, 274, 6113, 0, 20332, 5240, 1923, 476, 1015, 4873, 476, 1001, 276, 454, 763, 15544, 585, 8376, 6513, 543, 10644, 2899, 1185, 513, 2864, 1434, 10639, 1851, 4892, 543, 519, 1158, 267, 855, 602, 10639, 5170, 547, 1491, 16125, 607, 811, 1344, 3587, 2139, 827, 875, 519, 8116, 3252, 543, 922, 13218, 547, 2872, 563, 5629, 512, 719, 539, 607, 606, 968, 785, 8817, 892, 9872, 267, 513, 2487, 3329, 894, 1867, 3370, 538, 634, 22720, 297, 630, 23873, 6481, 4750, 264, 676, 12314, 9375, 14639, 928, 22255, 10045, 7125, 883, 2243, 519, 15509, 779, 8699, 269, 25408, 267, 519, 1867, 9727, 875, 519, 8116, 814, 1044, 1447, 982, 9237, 538, 922, 8313, 540, 771, 8010, 619, 538, 922, 1378, 2090, 950, 17548, 602, 968, 16269, 723, 1100, 2883, 4690, 610, 824, 3347, 609, 519, 9755, 540, 5010, 2472, 3034, 4407, 519, 3377, 1281, 711, 2097, 607, 513, 8710, 518, 547, 1346, 540, 721, 538, 4244, 2923, 267, 519, 1344, 568, 18562, 29810, 538, 602, 621, 729, 3370, 538, 835, 540, 519, 30856, 2564, 2257, 13746, 269, 22255, 10045, 267, 538, 1200, 1867, 267, 4330, 519, 4644, 540, 519, 1867, 543, 519, 3760, 538, 799, 621, 729, 3370, 912, 763, 15509, 779, 3239, 607, 606, 4830, 4585, 27594, 936, 519, 1857, 1072, 814, 2016, 621, 11999, 31449, 267, 543, 922, 7840, 616, 12212, 24451, 676, 1876, 563, 9515, 1287, 4682, 593, 547, 10839, 16205, 807, 4911, 749, 267, 519, 5449, 9375, 2987, 268, 27815, 540, 519, 1715, 4789, 4750, 540, 6925, 912, 763, 15509, 814, 11999, 17258, 1851, 13500, 267, 538, 1100, 1507, 851, 1317, 519, 8116, 568, 3622, 2219, 547, 581, 1863, 540, 2872, 9186, 269, 11038, 4308, 902, 609, 1979, 2684, 1301, 11914, 3549, 21279, 602, 10639, 563, 2108, 12041, 2213, 2108, 547, 3398, 8262, 1912, 12609, 968, 325, 27448, 2108, 454, 299, 523, 10045, 1287, 2488, 12319, 538, 1200, 1867, 827, 875, 519, 15509, 814, 20335, 6634, 540, 9489, 538, 968, 8114, 2722, 13344, 543, 7616, 892, 693, 2547, 2094, 476, 2735, 274, 630, 1492, 8116, 729, 8547, 538, 476, 3707, 277, 1916, 2108, 8601, 519, 8116, 779, 771, 25068, 267, 519, 15509, 1281, 4309, 6634, 540, 9489, 538, 2872, 13344, 543, 7616, 267, 1312, 2047, 543, 18549, 267, 543, 1896, 2487, 15509, 3527, 543, 7840, 723, 6659, 2055, 827, 519, 2257, 621, 524, 2572, 267, 519, 4791, 4808, 621, 8992, 267, 543, 519, 2724, 621, 568, 2921, 2223, 454, 1103, 476, 2735, 274, 267, 22255, 10045, 3081, 267, 519, 15509, 729, 968, 10461, 2213, 892, 547, 3398, 7616, 689, 8262, 1912, 12609, 3549, 267, 543, 602, 538, 476, 1960, 276, 6837, 9516, 9086, 1107, 9896, 883, 1876, 676, 5518, 9291, 22735, 1107, 968, 1729, 5000, 3347, 1063, 2872, 543, 519, 15509, 3034, 763, 1867, 4422, 593, 547, 2285, 513, 1297, 540, 1806, 540, 875, 8262, 1912, 12609, 7616, 814, 2693, 4299, 519, 4093, 540, 1382, 602, 729, 1031, 547, 3895, 30940, 6527, 563, 2026, 7849, 5240, 814, 5892, 4080, 267, 519, 15509, 568, 2965, 513, 585, 17416, 18294, 267, 607, 789, 616, 3622, 3989, 267, 1454, 899, 519, 1964, 540, 519, 5313, 2229, 267, 799, 814, 1044, 4421, 1055, 547, 519, 5207, 9746, 536, 1342, 518, 563, 1103, 602, 1867, 267, 649, 7000, 602, 519, 15509, 729, 7396, 538, 513, 14480, 333, 1299, 17659, 560, 22901, 6538, 607, 513, 585, 17416, 11769, 267, 1256, 1498, 621, 568, 9277, 547, 581, 513, 1857, 267, 711, 16519, 17416, 11769, 630, 553, 22255, 10045, 7074, 267, 772, 2529, 269, 27710, 16558, 14102, 519, 15509, 547, 519, 19820, 540, 827, 1269, 277, 269, 277, 5479, 2063, 1032, 1916, 2171, 849, 13615, 519, 15509, 547, 519, 14453, 2872, 267, 799, 11394, 547, 7443, 676, 9247, 5329, 721, 7210, 543, 8200, 593, 6527, 563, 15253, 668, 2213, 676, 21910, 543, 26846, 454, 3719, 5310, 9039, 540, 713, 1058, 9983, 721, 267, 6236, 2229, 8041, 540, 782, 26145, 723, 1100, 1966, 14084, 547, 519, 1360, 4961, 945, 2628, 585, 741, 6228, 563, 2026, 7849, 5240, 9375, 19375, 17566, 267, 519, 2657, 681, 9734, 267, 7074, 5063, 3823, 519, 715, 6347, 968, 3650, 16995, 2223, 538, 799, 13416, 2923, 4080, 602, 519, 4182, 779, 30856, 22342, 8116, 2731, 729, 10678, 922, 2527, 13178, 540, 4892, 950, 14074, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 297, 1783, 10787, 1067, 692, 1708, 272, 268, 6349, 268, 5400, 692, 8110, 845, 519, 22606, 12980, 563, 7445, 3847, 263, 866, 268, 279, 9368, 9385, 28783, 3189, 22364, 346, 271, 269, 5780, 278, 655, 2410, 271, 1410, 14990, 9507, 346, 7116, 4153, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 14990, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 3686, 278, 6911, 291, 7702, 692, 3721, 476, 272, 454, 7072, 540, 12980, 22606, 281, 910, 2913, 476, 275, 267, 645, 543, 681, 581, 606, 9981, 1287, 606, 12980, 22606, 666, 581, 3989, 607, 630, 288, 264, 7116, 1269, 289, 284, 305, 14204, 8489, 267, 1269, 288, 284, 259, 3900, 550, 454, 259, 289, 284, 259, 1109, 15965, 529, 528, 454, 259, 305, 284, 259, 14230, 454, 3721, 476, 273, 454, 11693, 602, 4399, 3847, 263, 866, 268, 279, 9368, 9385, 28783, 3189, 22364, 346, 271, 269, 5780, 278, 655, 2410, 271, 1410, 14990, 9507, 346, 7116, 4153, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 14990, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 3686, 278, 14204, 2005, 666, 581, 530, 686, 527, 523, 607, 454, 7445, 3847, 263, 866, 268, 279, 9368, 9385, 28783, 3189, 22364, 346, 271, 269, 5780, 278, 655, 2410, 271, 1410, 14990, 9507, 346, 7116, 4153, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 14990, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 3686, 278, 7807, 3847, 263, 1556, 9368, 9385, 28783, 3189, 22364, 346, 271, 269, 5780, 278, 655, 2410, 271, 1410, 14990, 9507, 346, 7116, 4153, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 14990, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 3686, 278, 14204, 7445, 3667, 346, 7712, 4153, 2765, 346, 1556, 2410, 278, 13157, 275, 14204, 7445, 3667, 346, 11997, 9574, 315, 3847, 263, 1556, 9368, 9385, 28783, 3189, 22364, 346, 271, 269, 5780, 278, 655, 2410, 271, 1410, 14990, 9507, 346, 7116, 4153, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 14990, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 3686, 278, 284, 275, 14204, 17798, 2676, 7445, 3847, 263, 866, 268, 279, 9368, 9385, 28783, 3189, 22364, 346, 271, 269, 5780, 278, 655, 2410, 271, 1410, 14990, 9507, 346, 7116, 4153, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 14990, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 3686, 278, 284, 275, 6911, 2710, 596, 723, 513, 2147, 2243, 286, 0, 269, 3393, 5258, 676, 476, 1015, 888, 9223, 454, 16485, 539, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 1839, 281, 3393, 7537, 454, 24993, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 5655, 281, 4510, 7537, 454, 338, 454, 24314, 6643, 454, 27165, 281, 1547, 3393, 5258, 676, 476, 1015, 2496, 2171, 1122, 344, 281, 476, 271, 269, 3393, 5258, 676, 476, 1015, 11224, 476, 271, 269, 271, 3393, 476, 271, 269, 3393, 270, 1015, 815, 476, 271, 269, 271, 3393, 454, 30360, 476, 272, 692, 27165, 281, 476, 1556, 266, 272, 266, 271, 269, 272, 266, 269, 18733, 266, 269, 18733, 272, 692, 9223, 454, 16485, 539, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 1839, 281, 3393, 7537, 454, 24993, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 5655, 281, 4510, 7537, 454, 305, 908, 454, 275, 454, 1556, 266, 272, 266, 271, 269, 272, 266, 269, 18733, 266, 269, 18733, 272, 815, 476, 1321, 269, 14338, 272, 454, 3849, 4765, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 5655, 281, 4510, 7537, 454, 305, 730, 1434, 676, 7603, 1537, 323, 287, 2420, 692, 26524, 4280, 676, 519, 1482, 21233, 454, 6343, 568, 519, 2854, 1106, 540, 519, 8918, 1297, 1547, 4817, 275, 888, 2171, 1122, 344, 281, 27607, 4627, 15823, 21144, 8536, 2195, 568, 519, 2854, 1106, 540, 519, 8918, 1297, 1547, 4817, 275, 269, 14871, 281, 18110, 8918, 1284, 1122, 344, 281, 589, 18110, 8918, 568, 513, 8918, 1297, 602, 3568, 513, 7857, 610, 1895, 540, 9704, 602, 10956, 1439, 8393, 269, 14871, 281, 799, 540, 519, 1739, 1806, 4564, 513, 18110, 8918, 286, 513, 269, 476, 272, 269, 9340, 14625, 536, 269, 476, 271, 269, 11277, 11277, 524, 269, 476, 271, 269, 6507, 278, 6507, 278, 546, 269, 476, 275, 269, 21857, 30589, 1284, 1122, 344, 281, 476, 271, 269, 6507, 278, 6507, 278, 4564, 513, 18110, 8918, 269, 14871, 281, 1689, 519, 6824, 476, 279, 270, 2004, 883, 513, 8918, 1284, 1122, 344, 281, 634, 6824, 476, 279, 270, 2004, 4957, 547, 513, 8918, 568, 476, 271, 269, 1626, 269, 14871, 281, 1689, 519, 6824, 476, 275, 270, 1724, 883, 513, 8918, 269, 5180, 1055, 547, 519, 14282, 8536, 628, 630, 5415, 994, 9223, 454, 24993, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 2918, 281, 6021, 7537, 454, 275, 270, 1724, 607, 513, 8918, 568, 476, 271, 269, 28143, 454, 11405, 454, 275, 383, 371, 1724, 284, 476, 271, 269, 476, 28143, 454, 3849, 4765, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 2190, 281, 6078, 7537, 454, 763, 6824, 476, 275, 270, 1724, 607, 513, 8918, 17031, 547, 519, 14282, 8536, 628, 568, 476, 271, 269, 28143, 454, 3849, 4765, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 2190, 281, 7367, 7537, 454, 275, 270, 1724, 607, 513, 8918, 568, 476, 271, 269, 28143, 454, 11405, 912, 275, 383, 371, 1724, 284, 476, 271, 269, 476, 28143, 454, 3849, 4765, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 2190, 281, 6795, 7537, 454, 275, 270, 1724, 815, 476, 271, 269, 28906, 7597, 273, 454, 271, 269, 28906, 7597, 273, 568, 11224, 547, 476, 271, 269, 28143, 17031, 1055, 547, 519, 14282, 8536, 628, 563, 3849, 4765, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 2918, 281, 6021, 7537, 454, 320, 2447, 626, 26693, 1614, 5094, 5439, 693, 476, 271, 269, 1704, 6121, 267, 476, 271, 269, 14225, 6121, 267, 543, 476, 273, 269, 274, 6121, 269, 1018, 568, 519, 2698, 2597, 540, 519, 1614, 5439, 888, 2171, 1122, 344, 281, 589, 2447, 626, 26693, 1614, 5094, 1449, 5439, 693, 476, 271, 269, 1704, 6121, 267, 476, 271, 269, 14225, 6121, 267, 543, 476, 273, 269, 274, 10101, 269, 476, 273, 269, 6858, 275, 10101, 568, 519, 2698, 2597, 540, 519, 1614, 5439, 269, 476, 271, 269, 1704, 575, 332, 1341, 476, 271, 269, 14225, 575, 332, 1341, 476, 273, 269, 274, 575, 332, 815, 273, 269, 6858, 275, 575, 332, 14871, 281, 476, 273, 269, 272, 266, 274, 269, 3953, 268, 272, 269, 275, 284, 1284, 1122, 344, 281, 476, 273, 269, 272, 1341, 476, 274, 269, 3953, 7790, 476, 272, 269, 275, 815, 476, 276, 269, 5655, 910, 272, 269, 275, 815, 476, 275, 269, 6349, 14871, 281, 476, 271, 269, 4375, 343, 280, 630, 5415, 994, 9223, 454, 24993, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 1789, 281, 2764, 7537, 454, 271, 269, 4375, 343, 280, 815, 476, 274, 269, 7906, 454, 3849, 4765, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 1789, 281, 2764, 7537, 454, 527, 3790, 519, 2298, 2754, 8096, 269, 1691, 547, 2196, 922, 8709, 269, 593, 544, 10185, 519, 8709, 14612, 476, 9262, 269, 277, 5195, 269, 875, 1454, 1705, 621, 1942, 547, 2196, 519, 8709, 602, 1554, 888, 2171, 1122, 344, 281, 898, 1942, 8096, 1321, 269, 2918, 547, 2196, 519, 8709, 602, 1554, 269, 476, 1691, 2608, 476, 9262, 269, 277, 815, 8096, 1321, 269, 2918, 14871, 281, 513, 546, 745, 1375, 626, 568, 8600, 513, 6646, 269, 3962, 23555, 3340, 1547, 23669, 10101, 540, 29469, 269, 1261, 814, 476, 1691, 10101, 540, 29469, 269, 875, 1082, 29893, 666, 646, 5965, 286, 1284, 1122, 344, 281, 1261, 666, 5965, 476, 1220, 271, 29893, 269, 476, 1691, 1315, 476, 271, 269, 23669, 815, 476, 1220, 271, 29893, 269, 14871, 281, 1018, 568, 1547, 18357, 2854, 538, 922, 14724, 6824, 1106, 286, 1284, 1122, 344, 281, 476, 271, 269, 18357, 2854, 538, 922, 14724, 6824, 1106, 607, 476, 18357, 270, 1911, 271, 14871, 281, 476, 278, 269, 272, 266, 1626, 269, 6860, 268, 269, 273, 1284, 1122, 344, 281, 8827, 815, 278, 269, 272, 1341, 476, 1626, 269, 6860, 7790, 1547, 273, 815, 476, 2537, 269, 1691, 910, 1547, 273, 815, 476, 2420, 269, 11463, 5775, 269, 14871, 281, 513, 10189, 540, 2666, 14132, 568, 8096, 277, 269, 7176, 269, 634, 3902, 829, 11013, 568, 8096, 274, 269, 10436, 269, 1215, 1082, 6550, 540, 2666, 14132, 616, 538, 519, 10189, 286, 630, 5415, 994, 9223, 454, 24993, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 4029, 281, 4962, 7537, 454, 288, 10189, 540, 2666, 14132, 3790, 8096, 277, 269, 7176, 269, 634, 3902, 829, 11013, 568, 8096, 274, 269, 10436, 269, 4475, 267, 476, 272, 269, 10037, 6550, 540, 2666, 14132, 616, 538, 519, 10189, 269, 8827, 281, 476, 277, 269, 7176, 1315, 476, 274, 269, 10436, 815, 476, 272, 269, 3199, 279, 3066, 563, 3849, 4765, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 4029, 281, 4962, 7537, 454, 4391, 267, 280, 6078, 267, 5325, 275, 454, 28082, 22062, 725, 454, 15697, 533, 16820, 568, 513, 2462, 1966, 585, 519, 2475, 1317, 454, 2171, 1122, 344, 281, 623, 16820, 568, 3335, 606, 957, 540, 3775, 25053, 610, 7803, 5208, 693, 4262, 563, 1692, 1082, 2829, 4646, 519, 1476, 25005, 776, 888, 2171, 1122, 344, 281, 476, 1556, 630, 292, 548, 1597, 2567, 2829, 4646, 519, 1476, 25005, 2329, 563, 7617, 540, 519, 1739, 6898, 6257, 12933, 30702, 286, 589, 269, 16840, 4429, 2171, 1122, 344, 281, 595, 6412, 30702, 616, 281, 2818, 540, 519, 818, 6605, 617, 18105, 636, 945, 723, 12933, 344, 267, 2182, 267, 9018, 16115, 269, 14871, 281, 6904, 540, 519, 4429, 6343, 568, 476, 2537, 16302, 454, 2171, 1122, 344, 281, 476, 2537, 16302, 568, 476, 276, 3066, 269, 476, 2537, 2608, 476, 2537, 815, 476, 276, 3066, 14871, 281, 4194, 585, 1535, 538, 519, 3830, 1535, 7132, 476, 1015, 11224, 476, 1428, 1284, 1122, 344, 281, 586, 1341, 630, 476, 277, 264, 815, 476, 280, 4429, 7617, 835, 540, 519, 1739, 5220, 568, 23827, 894, 286, 589, 264, 763, 27574, 4429, 2171, 1122, 344, 281, 634, 1739, 5220, 568, 23827, 894, 281, 834, 1432, 786, 596, 798, 950, 519, 1134, 4422, 3819, 834, 14871, 281, 1548, 568, 835, 1259, 547, 4429, 20330, 7476, 4267, 689, 1284, 1122, 344, 543, 513, 2319, 540, 2731, 5100, 2661, 4966, 563, 306, 454, 299, 454, 32622, 476, 866, 1496, 13707, 476, 28590, 274, 316, 13158, 902, 476, 272, 22227, 476, 280, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 1428, 1496, 13707, 476, 6200, 275, 316, 13158, 902, 476, 272, 22227, 476, 276, 769, 10903, 725, 476, 271, 6732, 454, 306, 454, 299, 454, 305, 454, 299, 454, 32622, 476, 1015, 1496, 13707, 476, 278, 866, 278, 316, 13158, 902, 476, 271, 22227, 476, 1015, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 303, 454, 32622, 476, 1015, 1496, 13707, 476, 3393, 280, 273, 316, 13158, 902, 476, 271, 22227, 476, 1015, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 279, 1496, 13707, 476, 26552, 274, 316, 13158, 902, 476, 271, 22227, 476, 279, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 277, 1496, 13707, 476, 7597, 278, 316, 13158, 902, 476, 271, 22227, 476, 277, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 303, 454, 305, 454, 299, 454, 32622, 476, 275, 1496, 13707, 476, 27843, 275, 316, 13158, 902, 476, 271, 22227, 476, 275, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4002, 25547, 18967, 540, 707, 4434, 8569, 267, 649, 693, 3004, 7232, 2381, 550, 3127, 786, 1832, 596, 5483, 540, 519, 3356, 1500, 593, 707, 1433, 902, 543, 786, 2671, 519, 9672, 4567, 609, 596, 563, 268, 18696, 32237, 454, 763, 18696, 540, 519, 3902, 540, 707, 9702, 1590, 581, 6976, 693, 2547, 513, 3018, 1991, 689, 707, 12625, 4266, 952, 596, 616, 1818, 8569, 998, 7813, 18734, 610, 998, 6666, 610, 5491, 3556, 2390, 12625, 593, 4303, 476, 272, 563, 604, 596, 3068, 1022, 1966, 1282, 519, 4663, 609, 721, 267, 5225, 1867, 1482, 942, 547, 14538, 6935, 11464, 945, 786, 581, 538, 5905, 2429, 519, 4663, 610, 519, 9614, 540, 519, 15678, 538, 799, 596, 616, 9363, 610, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 476, 1626, 281, 13898, 543, 11473, 10632, 910, 4197, 7780, 4106, 31791, 998, 834, 763, 19336, 5016, 5331, 952, 596, 1223, 1404, 513, 3014, 1141, 596, 616, 32286, 267, 519, 5869, 689, 834, 763, 19336, 1701, 1411, 666, 18846, 4641, 267, 546, 17690, 4439, 7410, 267, 543, 4688, 8103, 256, 2334, 4992, 7168, 15813, 267, 3085, 1405, 621, 286, 1717, 267, 1018, 952, 1152, 513, 1906, 1004, 5129, 713, 3014, 1813, 547, 922, 7294, 3652, 543, 20585, 1650, 1467, 286, 14348, 602, 1869, 581, 1187, 2496, 3086, 1577, 781, 1451, 827, 3351, 23540, 267, 513, 6138, 7255, 609, 8236, 519, 6574, 1434, 585, 519, 6574, 1297, 540, 1004, 269, 4340, 547, 713, 2856, 267, 1945, 630, 3697, 4730, 513, 3579, 3014, 264, 568, 25432, 1318, 952, 621, 2164, 538, 811, 8788, 2949, 3379, 547, 1022, 824, 4244, 2962, 269, 1924, 267, 1256, 1498, 1373, 32286, 949, 3280, 5863, 267, 952, 1360, 1906, 1004, 2972, 4730, 607, 1864, 267, 1287, 6148, 972, 781, 513, 1732, 1259, 547, 1374, 519, 3014, 547, 3142, 7772, 547, 811, 32266, 269, 901, 1523, 568, 1572, 1412, 320, 2071, 3351, 23540, 9538, 692, 4131, 781, 946, 930, 4948, 1806, 547, 1174, 3328, 3351, 23540, 1384, 7078, 476, 272, 281, 5994, 707, 1362, 6499, 547, 1544, 513, 9983, 14512, 5428, 1282, 12899, 5503, 585, 835, 2875, 945, 14560, 16741, 269, 1703, 616, 1079, 3681, 1107, 19280, 476, 736, 10750, 10381, 533, 11170, 553, 10758, 3478, 3368, 10750, 10381, 543, 3368, 14723, 18223, 269, 4595, 649, 1616, 547, 11694, 3025, 781, 8788, 267, 6998, 1472, 1131, 948, 721, 4137, 856, 799, 4781, 1034, 3214, 4782, 269, 1403, 811, 1053, 4782, 14723, 18223, 936, 1175, 10750, 10381, 267, 1287, 9140, 3368, 7146, 28451, 533, 625, 786, 1267, 538, 3152, 2698, 8788, 1851, 1053, 269, 9747, 267, 2687, 547, 3328, 3351, 23540, 267, 7446, 519, 3368, 7146, 28451, 533, 11170, 553, 1131, 581, 519, 1655, 3375, 2094, 621, 6770, 811, 12257, 547, 519, 5354, 780, 7078, 476, 273, 281, 14597, 707, 1153, 814, 4956, 547, 1628, 2901, 513, 1007, 5399, 610, 513, 13558, 2361, 269, 2991, 5619, 532, 8284, 1053, 267, 3610, 267, 543, 3237, 267, 596, 1265, 856, 602, 5594, 811, 1004, 3870, 2679, 513, 5399, 3079, 540, 513, 13558, 2361, 269, 11088, 267, 1210, 3328, 3351, 23540, 3741, 267, 14335, 519, 5399, 1131, 1291, 547, 2362, 7104, 8788, 3379, 547, 519, 13558, 2361, 269, 2859, 2043, 4324, 689, 2542, 2835, 267, 10647, 1382, 267, 543, 11018, 2200, 693, 519, 5399, 2864, 982, 1175, 1346, 5461, 538, 5026, 780, 28274, 891, 2035, 547, 938, 4505, 1383, 827, 519, 834, 30467, 257, 3014, 267, 4952, 9367, 3605, 602, 4657, 875, 32286, 4249, 5012, 547, 811, 32266, 11981, 519, 1995, 269, 17610, 267, 5884, 14551, 11655, 1522, 13889, 971, 2242, 7620, 267, 855, 952, 811, 1004, 1439, 909, 15962, 519, 3014, 267, 9327, 1405, 602, 6364, 1711, 5021, 8788, 2949, 286, 1656, 3884, 1405, 10825, 7772, 547, 519, 4102, 2009, 5304, 4010, 1018, 3328, 3351, 23540, 6663, 547, 3035, 2496, 1103, 3932, 267, 1620, 10952, 5322, 899, 3351, 23540, 2636, 721, 547, 1589, 9691, 827, 1585, 3344, 540, 1272, 1765, 16838, 3381, 3756, 256, 1635, 17935, 547, 3132, 519, 6574, 2318, 1764, 585, 519, 1034, 7986, 1895, 540, 1004, 267, 649, 11441, 2509, 3664, 602, 3565, 25273, 543, 7839, 9547, 269, 5457, 267, 3006, 3257, 1018, 2306, 519, 1034, 2043, 6126, 949, 1611, 19480, 2476, 689, 2245, 543, 8508, 1689, 269, 1306, 2104, 3401, 543, 3048, 2209, 267, 1832, 713, 6240, 2673, 547, 2295, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 23219, 1676, 645, 4592, 269, 20308, 30007, 4941, 547, 1118, 513, 2462, 10943, 1662, 538, 519, 3381, 3014, 1158, 1394, 538, 4728, 950, 621, 5189, 968, 30467, 6732, 2223, 513, 2527, 1947, 3818, 16651, 2228, 3014, 1759, 593, 519, 2899, 3620, 582, 4670, 29929, 269, 634, 3014, 1500, 513, 2462, 10943, 1662, 782, 1318, 267, 13328, 540, 654, 2117, 2761, 281, 20993, 519, 3014, 2872, 15080, 899, 513, 17987, 1166, 641, 563, 7021, 922, 1101, 1614, 3275, 519, 3014, 9896, 909, 7864, 982, 476, 2004, 267, 1822, 32224, 267, 513, 8486, 339, 766, 267, 865, 538, 4873, 267, 2782, 1676, 2759, 536, 7159, 543, 8815, 547, 6133, 519, 3014, 547, 590, 3415, 269, 7831, 3923, 968, 30467, 6732, 892, 729, 17498, 1242, 689, 8370, 5691, 968, 9418, 916, 892, 547, 1614, 267, 1317, 3755, 941, 2348, 513, 2182, 942, 4466, 835, 1776, 538, 519, 3014, 779, 5318, 3059, 15293, 4884, 563, 763, 13542, 540, 968, 30467, 6732, 892, 941, 14356, 540, 2782, 1676, 779, 1378, 1818, 282, 1082, 5716, 543, 13915, 3858, 602, 519, 3014, 568, 513, 18657, 665, 516, 1995, 269, 1809, 519, 2228, 2344, 1031, 547, 1118, 4055, 585, 18657, 665, 516, 3756, 269, 3767, 267, 519, 6626, 7613, 568, 602, 865, 1082, 733, 11367, 267, 1519, 968, 30467, 6732, 2223, 3274, 3112, 1796, 909, 547, 519, 11566, 8560, 540, 593, 4802, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 6579, 5308, 8008, 14176, 1315, 28073, 1315, 7780, 4106, 31791, 1315, 19105, 7780, 4106, 31791, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 11879, 21929, 1143, 910, 15154, 6145, 513, 26831, 692, 5331, 596, 2811, 513, 19792, 3843, 547, 4194, 513, 9814, 269, 1411, 5531, 10881, 267, 2911, 547, 22168, 267, 543, 2097, 909, 609, 1114, 6436, 827, 1018, 5949, 269, 3973, 267, 596, 1449, 707, 6436, 676, 3168, 693, 519, 2963, 543, 7487, 952, 789, 3180, 909, 269, 1403, 789, 1810, 1405, 267, 596, 979, 1394, 547, 519, 5373, 4604, 543, 2119, 1586, 269, 901, 1184, 568, 2147, 547, 1945, 1572, 2565, 7787, 1143, 2439, 3383, 267, 1018, 4010, 568, 2565, 7787, 1143, 286, 4270, 267, 1577, 781, 2736, 1524, 922, 2012, 1101, 269, 1412, 27287, 262, 1797, 5402, 6236, 610, 32198, 1945, 267, 1247, 1412, 16884, 1143, 262, 4016, 547, 18468, 538, 2601, 543, 7954, 936, 824, 1919, 899, 5132, 610, 2245, 269, 8625, 267, 2565, 7787, 1143, 568, 782, 827, 4152, 938, 2093, 543, 4978, 1996, 2963, 543, 1373, 1930, 547, 4657, 873, 952, 649, 1265, 856, 1007, 1344, 780, 3086, 267, 875, 1281, 713, 9305, 547, 2257, 543, 6138, 286, 6153, 2243, 256, 5994, 596, 1616, 547, 1174, 1946, 519, 6607, 568, 4544, 269, 589, 2565, 7787, 626, 1131, 1376, 676, 4947, 909, 609, 1082, 2009, 3137, 267, 971, 607, 6148, 621, 814, 1945, 547, 798, 609, 7943, 267, 2011, 5536, 267, 610, 1256, 9813, 2029, 256, 1809, 3079, 540, 1175, 16116, 835, 3069, 543, 23578, 547, 621, 1100, 2339, 1018, 267, 513, 2565, 7787, 626, 1131, 1413, 693, 1142, 2856, 5702, 543, 1294, 799, 3283, 666, 581, 6462, 676, 2963, 543, 799, 3283, 3112, 269, 1358, 1522, 2932, 6901, 267, 2445, 1239, 267, 543, 5077, 4966, 538, 4610, 899, 6323, 543, 7998, 269, 9122, 593, 741, 4681, 267, 789, 1223, 1287, 6430, 2436, 741, 3312, 2093, 941, 2953, 610, 991, 2847, 2358, 780, 3719, 1934, 781, 1141, 1919, 1205, 4277, 281, 1256, 1310, 11018, 6266, 540, 2963, 267, 513, 3020, 2565, 7787, 626, 6487, 602, 972, 949, 1869, 581, 1732, 3137, 7996, 547, 581, 4362, 269, 2334, 781, 1317, 2257, 3884, 1405, 827, 18445, 3054, 1318, 282, 621, 781, 827, 3478, 6251, 547, 519, 5168, 676, 7683, 15819, 543, 17975, 938, 1620, 540, 519, 1158, 269, 1924, 267, 1256, 952, 2576, 14659, 789, 723, 23125, 856, 1946, 519, 6607, 568, 4544, 267, 789, 1058, 2141, 3251, 8049, 543, 1832, 1565, 2439, 4131, 781, 1491, 1776, 1383, 547, 9414, 713, 1523, 2417, 269, 14597, 596, 1616, 547, 4137, 856, 1946, 930, 1004, 1831, 7189, 1247, 1866, 1831, 5159, 269, 2290, 1259, 547, 2263, 713, 2243, 568, 676, 6313, 1585, 2188, 899, 1920, 4282, 267, 2069, 267, 2123, 4690, 267, 543, 2686, 7506, 269, 4635, 2565, 7787, 1143, 267, 596, 1131, 5352, 2789, 19165, 7713, 891, 3270, 267, 899, 5310, 1978, 7209, 7592, 1291, 2043, 2509, 1880, 11678, 610, 6148, 1569, 547, 2200, 4249, 513, 1713, 1909, 269, 30850, 267, 596, 1131, 6218, 1142, 8367, 1210, 4143, 1239, 2959, 543, 25107, 2553, 1354, 16561, 610, 7947, 532, 1022, 2016, 7778, 269, 5457, 267, 1498, 267, 602, 4466, 2178, 2963, 3085, 1405, 1611, 596, 4312, 1336, 519, 6207, 2626, 22924, 3274, 6770, 596, 835, 1900, 6251, 547, 26762, 519, 1950, 2078, 1063, 1367, 5079, 543, 6848, 3889, 780, 1103, 5758, 267, 2565, 7787, 1143, 7512, 721, 547, 1589, 23963, 676, 10451, 3875, 7399, 267, 10442, 873, 9691, 267, 543, 6967, 32615, 547, 12381, 838, 13899, 676, 3209, 4030, 269, 1635, 8508, 713, 14820, 267, 649, 6536, 7214, 2208, 267, 20741, 7279, 267, 543, 6830, 1518, 6000, 1996, 20887, 269, 3767, 267, 945, 9327, 1405, 1616, 602, 2706, 12741, 26834, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 272, 269, 634, 2165, 2048, 322, 738, 12147, 7471, 2090, 685, 568, 4294, 547, 513, 1808, 267, 1480, 2065, 2186, 540, 15834, 2090, 538, 519, 1858, 540, 3656, 543, 1514, 9443, 269, 5525, 616, 31002, 609, 713, 2165, 950, 789, 616, 1759, 593, 1455, 267, 20244, 10058, 267, 2489, 27696, 4808, 7282, 519, 19862, 540, 519, 4852, 12330, 540, 2143, 2164, 540, 1382, 538, 519, 1858, 540, 3656, 543, 1514, 9443, 269, 1452, 4808, 616, 1031, 547, 1711, 513, 7811, 2203, 602, 5713, 607, 513, 1907, 538, 519, 3102, 267, 13865, 3408, 543, 7778, 540, 5697, 267, 2356, 3833, 17618, 30431, 730, 267, 543, 950, 2009, 1107, 7471, 883, 1514, 14426, 9988, 267, 1966, 520, 2213, 15998, 540, 1514, 543, 29708, 4641, 269, 6270, 2203, 568, 3710, 538, 1079, 2081, 269, 4438, 2034, 22533, 2079, 630, 16149, 776, 2079, 1070, 621, 568, 9112, 998, 513, 3102, 946, 540, 1239, 5833, 689, 1382, 538, 519, 1858, 540, 2143, 3656, 267, 1514, 543, 1480, 2065, 9443, 269, 898, 568, 849, 4646, 607, 513, 1267, 540, 13844, 1239, 2047, 1210, 2409, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27287, 21929, 1143, 257, 607, 851, 540, 834, 306, 11799, 1315, 13898, 1299, 4317, 31834, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10932, 2861, 12326, 543, 1357, 2861, 2238, 547, 1489, 3742, 1565, 689, 519, 30911, 543, 18143, 7070, 3194, 7027, 563, 5575, 6181, 334, 13477, 568, 585, 1762, 1004, 9907, 476, 280, 547, 1626, 1296, 267, 2324, 538, 6887, 609, 513, 5885, 2937, 16455, 563, 12218, 3336, 2238, 543, 2200, 585, 1053, 9907, 476, 1556, 268, 866, 1296, 609, 4670, 24056, 267, 2228, 3756, 543, 17118, 563, 296, 4953, 3091, 513, 2039, 540, 1863, 6281, 6437, 1489, 19297, 267, 1644, 547, 1585, 3344, 540, 5201, 543, 1379, 563, 763, 5980, 585, 4937, 31814, 3132, 513, 2039, 540, 2200, 585, 3450, 8762, 5735, 585, 1053, 9907, 476, 278, 268, 866, 563, 4322, 6268, 2645, 2285, 1053, 630, 3042, 476, 278, 268, 866, 264, 606, 4316, 547, 20272, 741, 2472, 267, 6272, 610, 4540, 2472, 563, 29613, 553, 585, 1507, 1919, 10453, 666, 798, 547, 1118, 513, 3017, 547, 741, 2518, 2146, 543, 1604, 563, 20806, 3188, 707, 1053, 547, 1491, 593, 513, 1483, 3734, 1966, 7133, 1004, 538, 18310, 563, 288, 3126, 540, 1614, 7044, 267, 2029, 5126, 568, 827, 4180, 3025, 814, 1569, 547, 2029, 602, 568, 1898, 585, 1272, 563, 26524, 1472, 2029, 543, 519, 1318, 547, 1569, 621, 616, 8268, 538, 891, 2200, 585, 1053, 9907, 476, 280, 268, 866, 563, 4322, 2592, 616, 4998, 585, 18398, 4901, 538, 2257, 3584, 585, 1053, 540, 782, 6502, 543, 585, 2875, 1788, 960, 563, 10743, 616, 13934, 547, 1374, 543, 1118, 513, 2842, 13324, 3684, 602, 666, 12740, 513, 22051, 7484, 1055, 519, 6989, 269, 0, 8070, 3620, 541, 4034, 9271, 2443, 799, 666, 2039, 1063, 476, 1015, 268, 736, 260, 538, 2101, 24799, 2443, 2014, 711, 1152, 519, 2530, 540, 2804, 1871, 540, 519, 1426, 3812, 267, 855, 849, 519, 3653, 540, 17077, 2200, 971, 607, 4074, 267, 2244, 267, 543, 1216, 267, 607, 1134, 607, 1875, 3146, 2908, 762, 2200, 971, 607, 13226, 543, 1648, 563, 2108, 11947, 2022, 9618, 4034, 9271, 17538, 4389, 10286, 6556, 267, 855, 609, 519, 1482, 2698, 8511, 3154, 12998, 2223, 3081, 15887, 2946, 23968, 11535, 267, 513, 595, 8379, 27798, 22003, 21091, 16869, 2324, 693, 519, 4139, 8575, 1125, 543, 5453, 520, 26094, 4741, 630, 5746, 12613, 312, 307, 1040, 968, 305, 14445, 532, 891, 9271, 6971, 519, 6556, 27214, 4705, 2518, 8337, 1761, 2443, 2698, 8511, 3154, 12998, 829, 11304, 540, 10286, 2443, 543, 8309, 547, 2916, 1689, 17846, 267, 607, 1134, 607, 1426, 3354, 3034, 288, 1713, 8167, 540, 891, 9271, 616, 3361, 676, 3735, 7556, 1813, 547, 4074, 22520, 267, 609, 7031, 1658, 5109, 538, 519, 2361, 1354, 6705, 666, 23074, 873, 269, 9540, 543, 5420, 13355, 12227, 949, 3100, 899, 519, 2626, 267, 855, 1082, 835, 610, 1079, 268, 1314, 324, 6191, 616, 1419, 8572, 547, 3914, 519, 6418, 6810, 540, 7573, 543, 10568, 4610, 1317, 540, 3908, 4155, 1569, 267, 610, 519, 1249, 602, 789, 616, 3274, 1932, 5230, 547, 4163, 563, 2108, 2026, 2964, 1242, 2244, 7041, 1568, 856, 2072, 267, 6418, 4610, 1205, 4712, 585, 7556, 1101, 267, 855, 1510, 1022, 1972, 730, 2930, 3070, 2223, 646, 6941, 563, 27745, 5179, 1242, 1085, 12682, 1127, 581, 519, 2626, 286, 23968, 11535, 14659, 865, 563, 763, 824, 1085, 344, 1492, 454, 300, 19318, 1242, 1085, 12682, 1127, 616, 1688, 268, 6016, 730, 2645, 1031, 585, 544, 12976, 6371, 610, 556, 12686, 7031, 269, 9282, 7361, 8719, 676, 7504, 1673, 22148, 543, 8778, 528, 2173, 870, 539, 28352, 267, 789, 616, 1869, 4122, 1031, 538, 930, 2127, 540, 5607, 543, 2342, 563, 9556, 1564, 4481, 9862, 585, 16276, 7573, 543, 10568, 723, 1044, 20749, 2139, 538, 4000, 585, 936, 1079, 5756, 543, 4867, 6133, 585, 1269, 5611, 268, 12573, 267, 9306, 519, 9803, 3355, 5092, 1942, 540, 782, 2599, 12454, 3435, 593, 519, 2344, 269, 634, 5179, 1085, 344, 1492, 849, 19646, 519, 9803, 7556, 1942, 829, 20267, 732, 543, 568, 15409, 2614, 547, 3914, 6418, 4610, 563, 8601, 922, 3448, 26622, 267, 19718, 538, 1454, 540, 4639, 4000, 814, 1044, 3500, 267, 607, 1082, 6705, 723, 1336, 519, 476, 1015, 11899, 12227, 1932, 5230, 585, 13455, 946, 563, 2108, 22137, 5645, 856, 538, 5484, 514, 267, 8738, 330, 2088, 674, 553, 334, 267, 595, 1774, 546, 685, 296, 17383, 790, 543, 5689, 328, 1397, 602, 713, 4028, 9854, 568, 3361, 676, 11234, 7829, 540, 519, 12227, 267, 1519, 30096, 14302, 2223, 23968, 11535, 6941, 269, 968, 1607, 568, 3274, 1317, 1034, 12427, 723, 2760, 17298, 4013, 2866, 585, 5665, 519, 1907, 3034, 1103, 513, 19915, 547, 2232, 713, 4161, 267, 23968, 11535, 814, 1044, 23712, 609, 11875, 328, 2714, 667, 1601, 537, 267, 6428, 328, 2311, 18553, 715, 323, 785, 1263, 543, 21321, 560, 2098, 2089, 601, 2443, 782, 3744, 693, 4000, 305, 823, 2443, 547, 1374, 543, 1449, 1761, 3435, 269, 4256, 11556, 585, 519, 1646, 540, 513, 6796, 3038, 3187, 28610, 630, 9915, 295, 264, 2203, 814, 1044, 2110, 4289, 539, 585, 519, 16743, 7420, 8366, 689, 513, 717, 22003, 270, 13696, 313, 23418, 9285, 2508, 585, 10124, 538, 519, 989, 686, 32103, 5823, 563, 29493, 585, 3028, 454, 763, 1935, 6212, 8185, 593, 4390, 1646, 267, 609, 606, 3355, 13540, 1895, 540, 30157, 2921, 519, 1291, 593, 2238, 971, 607, 16461, 1746, 543, 24931, 3028, 7426, 267, 3246, 2866, 593, 16276, 543, 26986, 3107, 267, 5885, 1310, 338, 2297, 2533, 971, 607, 3684, 5826, 543, 7816, 267, 543, 4543, 547, 3313, 519, 19993, 7556, 942, 563, 15152, 519, 6069, 2203, 267, 1142, 26519, 786, 581, 3743, 585, 513, 1895, 540, 1472, 476, 2004, 3028, 7426, 267, 945, 786, 4309, 5583, 593, 1620, 741, 1909, 267, 8804, 267, 2870, 513, 3060, 540, 7817, 6705, 267, 3684, 5826, 543, 946, 563, 1103, 1840, 547, 519, 2883, 12587, 543, 1310, 338, 2297, 2533, 267, 519, 2866, 3255, 786, 1118, 713, 2029, 3015, 547, 1762, 11639, 538, 6917, 2127, 269, 2423, 940, 909, 547, 1269, 1240, 513, 1554, 585, 16276, 543, 649, 5338, 2533, 267, 1346, 1210, 519, 1907, 666, 2503, 547, 1294, 513, 2132, 593, 741, 3355, 5092, 538, 835, 547, 1079, 3275, 563, 2108, 21930, 1004, 616, 519, 1292, 17053, 7218, 585, 713, 11036, 2223, 3081, 23968, 11535, 269, 968, 4415, 519, 5179, 1085, 344, 1492, 543, 1644, 2866, 267, 789, 666, 1376, 15980, 3978, 2724, 1848, 1261, 17613, 267, 2705, 267, 602, 782, 6705, 1107, 7488, 540, 2085, 610, 4008, 1107, 786, 581, 2111, 547, 4324, 689, 519, 2816, 5137, 3255, 713, 11036, 2488, 563, 763, 11036, 814, 1044, 2110, 4289, 539, 585, 519, 717, 22003, 16581, 16743, 8750, 779, 16743, 7420, 476, 1708, 271, 267, 6462, 676, 22720, 313, 269, 1403, 5697, 267, 7616, 689, 519, 5787, 1807, 1982, 1131, 1489, 4152, 267, 519, 5610, 540, 15870, 8596, 883, 519, 2645, 267, 5137, 540, 513, 3760, 585, 4871, 3354, 543, 12539, 15894, 15980, 267, 824, 2930, 2238, 269, 0, 10932, 9137, 1923, 7046, 7457, 454, 2304, 8838, 2711, 23840, 593, 674, 303, 16598, 540, 513, 14929, 7615, 22532, 8416, 454, 763, 1997, 894, 14929, 7615, 3965, 568, 513, 1106, 540, 20443, 14464, 22532, 8416, 630, 3198, 301, 264, 602, 666, 581, 1031, 538, 3156, 971, 607, 4806, 6284, 267, 6846, 8851, 267, 1344, 23023, 267, 543, 2036, 13541, 658, 11938, 2042, 269, 901, 1957, 6799, 519, 6388, 540, 519, 14929, 7615, 22532, 8416, 630, 295, 13585, 264, 6252, 6189, 593, 513, 22804, 4456, 2861, 674, 303, 16598, 269, 634, 1292, 5413, 540, 519, 6069, 6388, 568, 922, 1164, 2773, 543, 1942, 7145, 281, 621, 3340, 3818, 4124, 543, 23937, 267, 6466, 1034, 1866, 2154, 3818, 4124, 543, 23937, 563, 25369, 22532, 17978, 630, 3198, 301, 779, 264, 723, 1831, 513, 1641, 540, 1360, 6422, 543, 3573, 1382, 1496, 272, 1700, 275, 4940, 2290, 1271, 3815, 568, 519, 3356, 538, 966, 299, 10485, 2029, 267, 799, 2306, 4443, 519, 6388, 543, 4152, 540, 4888, 28213, 538, 2081, 711, 2139, 538, 519, 2250, 269, 11569, 267, 519, 6454, 540, 966, 299, 10485, 2029, 2306, 15164, 519, 6388, 540, 2527, 1947, 6252, 1949, 609, 5215, 540, 21932, 269, 6271, 1271, 3815, 568, 519, 759, 584, 3101, 540, 4888, 28213, 607, 513, 3532, 17565, 585, 1950, 8760, 543, 4806, 6284, 3156, 563, 2467, 616, 1082, 12326, 538, 519, 3332, 7282, 519, 6388, 540, 14929, 7615, 22532, 8416, 630, 295, 13585, 264, 538, 674, 22333, 2026, 630, 293, 1752, 5358, 30154, 27176, 1488, 7590, 1040, 769, 476, 606, 6388, 540, 670, 13585, 593, 2473, 559, 514, 343, 5164, 23753, 292, 568, 1031, 585, 3625, 959, 15635, 566, 8193, 585, 3239, 23218, 8721, 13496, 269, 13129, 476, 6257, 606, 6388, 540, 670, 13585, 593, 674, 303, 16598, 630, 309, 597, 23753, 268, 275, 299, 311, 8182, 264, 585, 519, 8446, 540, 1623, 5471, 29182, 11295, 5027, 18305, 538, 24488, 4578, 267, 799, 814, 1732, 2773, 982, 519, 1482, 6620, 8045, 538, 595, 10030, 593, 513, 22126, 2473, 18605, 18218, 269, 769, 1776, 960, 476, 568, 6594, 519, 6388, 540, 606, 1997, 894, 3965, 8849, 3060, 630, 4456, 13585, 264, 1210, 11028, 14808, 9092, 8800, 3457, 971, 607, 674, 303, 16598, 543, 922, 3156, 538, 3239, 4806, 6284, 1949, 269, 769, 4704, 2073, 519, 4589, 946, 513, 9168, 4341, 2866, 630, 13678, 6714, 748, 32677, 566, 1565, 4341, 264, 585, 670, 13585, 543, 1397, 324, 922, 6388, 538, 606, 674, 303, 16598, 563, 763, 2596, 1997, 894, 3965, 17565, 666, 581, 3989, 607, 519, 4859, 540, 513, 1305, 540, 3270, 538, 971, 513, 1259, 602, 952, 513, 1007, 4806, 568, 4843, 267, 519, 3210, 568, 513, 4806, 1851, 519, 6740, 3270, 799, 5702, 20998, 1547, 901, 10522, 602, 621, 568, 2009, 547, 11291, 519, 2347, 4806, 1256, 952, 1152, 851, 540, 621, 568, 2139, 269, 901, 3532, 1523, 666, 581, 8246, 538, 1082, 3156, 971, 607, 4806, 6284, 267, 3239, 16646, 689, 513, 9864, 3239, 267, 6846, 8851, 267, 543, 1344, 23023, 269, 634, 14929, 7615, 22532, 8416, 267, 513, 1360, 4277, 2203, 540, 4888, 28213, 799, 729, 4362, 676, 14929, 7615, 538, 519, 476, 3199, 779, 2073, 666, 581, 1031, 607, 606, 1997, 894, 3965, 543, 607, 513, 24626, 540, 2036, 13541, 658, 11938, 2042, 563, 295, 13585, 5161, 10416, 540, 513, 1297, 267, 2356, 1804, 267, 540, 2241, 4393, 4559, 630, 928, 584, 976, 264, 609, 1507, 2199, 3965, 829, 22813, 269, 1452, 11409, 616, 10562, 3842, 519, 865, 10777, 5348, 22663, 269, 4935, 267, 3810, 6252, 7384, 1949, 609, 2241, 4393, 2609, 543, 1448, 3562, 15304, 2792, 616, 6093, 3077, 25121, 585, 7561, 7598, 4888, 28213, 563, 15703, 11837, 14565, 723, 1044, 4080, 547, 2936, 8849, 3060, 6620, 593, 6252, 25121, 269, 6201, 666, 581, 1336, 538, 1496, 278, 1700, 1704, 4940, 769, 713, 1957, 267, 606, 6388, 540, 670, 13585, 883, 606, 22804, 4456, 2861, 674, 303, 16598, 568, 3254, 563, 1103, 8791, 476, 273, 267, 519, 7811, 3344, 1644, 547, 519, 6594, 670, 13585, 616, 4843, 269, 8791, 476, 274, 6257, 519, 6388, 540, 519, 670, 13585, 2687, 547, 938, 1935, 269, 8791, 476, 275, 2982, 519, 2164, 540, 519, 13502, 5340, 1210, 519, 7844, 8245, 29896, 1907, 269, 769, 8791, 476, 276, 938, 6388, 568, 3379, 609, 3105, 960, 269, 634, 8753, 543, 9709, 2104, 29622, 616, 5941, 538, 8791, 476, 277, 563, 273, 269, 13517, 540, 519, 1160, 12723, 23990, 454, 295, 641, 7615, 22532, 17978, 616, 20443, 5841, 8849, 5121, 269, 769, 713, 1826, 540, 4888, 301, 267, 519, 4393, 2609, 616, 519, 11409, 543, 1169, 3977, 540, 1142, 22813, 568, 4448, 547, 519, 3403, 540, 782, 824, 11409, 3842, 5348, 25443, 12035, 269, 2353, 12035, 616, 7229, 1210, 519, 1261, 6277, 1014, 4341, 3989, 607, 5205, 281, 1141, 2073, 543, 6902, 568, 1297, 540, 11353, 538, 4806, 543, 568, 1297, 540, 3270, 1305, 563, 2414, 1683, 606, 3608, 1374, 267, 609, 1447, 8800, 543, 1454, 5488, 982, 4540, 1533, 6361, 7308, 19603, 6272, 267, 649, 8263, 602, 519, 3403, 3270, 267, 968, 5608, 616, 9352, 2338, 269, 3973, 649, 4019, 476, 273, 547, 2097, 909, 609, 1007, 3403, 3270, 267, 543, 649, 3136, 519, 23200, 2394, 519, 1007, 3403, 3270, 616, 4010, 3160, 547, 519, 2025, 3283, 901, 3830, 23083, 519, 1739, 19106, 3268, 799, 616, 5340, 585, 4586, 3721, 476, 272, 269, 20518, 1393, 547, 782, 2609, 540, 6241, 538, 519, 2597, 5119, 4586, 3721, 476, 273, 269, 25092, 543, 4586, 3721, 476, 274, 269, 5681, 519, 1267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1775, 666, 1205, 1344, 563, 22897, 786, 2154, 1480, 4199, 4648, 547, 3247, 3206, 538, 2474, 540, 3275, 543, 1296, 543, 1376, 3206, 538, 2474, 540, 4374, 543, 2395, 713, 786, 2154, 1480, 4199, 9946, 547, 1689, 741, 8186, 1115, 689, 1373, 513, 7580, 7649, 1369, 606, 3919, 547, 1373, 513, 1689, 8665, 269, 1284, 2661, 8015, 519, 6574, 1689, 538, 519, 1686, 540, 2923, 1826, 8228, 2046, 930, 476, 31816, 1296, 3516, 1185, 7096, 2360, 2390, 10340, 3082, 547, 519, 1547, 4595, 519, 8798, 540, 519, 8228, 2046, 267, 18376, 2780, 1759, 8228, 267, 3092, 1287, 811, 1004, 811, 1419, 723, 1569, 547, 811, 1344, 811, 1419, 543, 538, 811, 4025, 982, 476, 2004, 1296, 3516, 1577, 4805, 476, 1911, 1296, 3516, 972, 616, 1082, 2242, 538, 519, 1820, 2029, 269, 0, 2304, 7969, 562, 684, 3957, 590, 3563, 27015, 24297, 2961, 4802, 328, 729, 13006, 547, 723, 6822, 340, 1027, 1082, 540, 1200, 19946, 950, 22234, 676, 513, 23942, 6891, 3957, 834, 306, 680, 754, 527, 10314, 21968, 547, 1439, 1200, 3347, 609, 824, 2021, 267, 1352, 729, 5116, 538, 22072, 30693, 585, 519, 2063, 476, 2412, 1296, 540, 1200, 1272, 269, 16262, 517, 13264, 1055, 741, 2078, 519, 1482, 3923, 16299, 8657, 9411, 1582, 21553, 12723, 15400, 694, 2424, 269, 1809, 577, 543, 3185, 1889, 12331, 540, 23462, 941, 865, 7533, 1369, 24139, 13063, 602, 2021, 945, 15189, 547, 3442, 1063, 519, 1079, 1131, 581, 16053, 267, 610, 693, 2547, 8572, 547, 4266, 4896, 267, 543, 855, 577, 2021, 4742, 6535, 656, 1227, 3238, 609, 824, 855, 577, 2021, 610, 3185, 6996, 609, 824, 3185, 6996, 729, 30849, 269, 1879, 26235, 729, 522, 755, 539, 607, 519, 15596, 781, 5172, 267, 1352, 1625, 19959, 569, 3262, 31482, 540, 519, 15596, 2348, 12602, 609, 1200, 5127, 577, 600, 828, 342, 1580, 269, 29485, 27209, 1762, 2021, 689, 834, 629, 7538, 257, 17052, 543, 29739, 8788, 1223, 1152, 581, 25189, 609, 513, 812, 269, 5675, 547, 1776, 4807, 676, 7247, 1352, 1185, 5063, 5433, 20729, 539, 267, 654, 3326, 7723, 8154, 10294, 267, 834, 763, 24712, 786, 16036, 950, 972, 781, 4708, 538, 519, 6089, 267, 543, 519, 19175, 540, 2713, 609, 1250, 674, 15967, 1350, 5417, 839, 1250, 2295, 281, 645, 1047, 23595, 2968, 669, 545, 267, 3226, 538, 3013, 781, 1101, 14447, 16973, 269, 2060, 519, 1134, 1790, 3016, 1242, 10206, 602, 4638, 6411, 941, 513, 851, 540, 24139, 1143, 543, 741, 3347, 267, 4638, 17634, 729, 7839, 563, 13436, 1806, 941, 22876, 3293, 540, 6869, 25978, 6931, 1188, 538, 2398, 17892, 538, 2073, 13401, 538, 6902, 18230, 14732, 9835, 329, 6756, 9310, 543, 882, 11343, 609, 1200, 7385, 547, 10370, 976, 267, 855, 729, 6534, 676, 513, 4807, 609, 7247, 1352, 1185, 1185, 513, 3105, 26035, 543, 30992, 547, 942, 538, 519, 13632, 543, 7890, 269, 898, 729, 5497, 547, 1683, 2021, 609, 1702, 827, 32270, 1765, 14588, 32496, 11341, 547, 2021, 267, 543, 4583, 8350, 321, 2103, 538, 1686, 269, 9521, 3157, 547, 5496, 856, 5256, 28305, 338, 267, 799, 1185, 1044, 538, 1747, 2094, 519, 5137, 540, 519, 1977, 4108, 267, 972, 941, 1100, 2409, 547, 2697, 610, 5496, 585, 8350, 321, 2103, 282, 789, 941, 2322, 883, 1747, 7930, 1282, 2622, 2782, 4083, 269, 2037, 26584, 10564, 14667, 16299, 8657, 5206, 936, 5022, 543, 9954, 547, 19626, 31408, 267, 945, 2663, 2968, 1200, 11078, 2987, 25237, 267, 543, 7722, 538, 1776, 11509, 19359, 609, 25562, 8845, 16262, 517, 269, 21058, 32270, 814, 711, 4607, 519, 1482, 2942, 3210, 689, 3909, 610, 7803, 8128, 607, 5256, 32270, 610, 13277, 6670, 814, 2429, 1686, 269, 1879, 6236, 2250, 3347, 1369, 3617, 8978, 2796, 267, 972, 941, 2053, 950, 2648, 543, 3023, 941, 5094, 543, 20775, 18765, 269, 3778, 540, 24139, 1143, 634, 9867, 10096, 540, 24139, 2094, 519, 2038, 476, 736, 628, 2540, 723, 19430, 930, 12206, 547, 30603, 8978, 3347, 1063, 2021, 1354, 519, 2647, 6165, 540, 519, 2262, 729, 3989, 676, 2144, 5328, 605, 743, 8481, 269, 24641, 7091, 3912, 1063, 2367, 267, 2367, 543, 2021, 267, 543, 2367, 543, 2831, 729, 19439, 762, 676, 2669, 538, 6628, 267, 8622, 8540, 540, 4638, 3346, 1063, 2021, 729, 9039, 343, 11962, 538, 2564, 543, 3656, 5931, 269, 2701, 5059, 593, 519, 5898, 540, 2021, 543, 29064, 1200, 2648, 585, 6690, 269, 11657, 566, 540, 891, 3347, 568, 2009, 676, 513, 1804, 4320, 540, 5022, 2854, 1063, 2021, 269, 1809, 577, 543, 3185, 1889, 1306, 513, 8086, 540, 6688, 540, 14920, 865, 25921, 3989, 676, 519, 2229, 543, 2486, 693, 1804, 267, 24139, 23658, 11857, 2919, 5393, 14461, 4008, 5107, 1063, 2021, 267, 3226, 1851, 519, 2324, 1362, 538, 519, 772, 269, 1452, 2021, 941, 13042, 609, 513, 3109, 6906, 269, 5675, 547, 1776, 4807, 676, 7247, 1352, 1185, 5063, 5433, 20729, 539, 267, 654, 3326, 7723, 8154, 10294, 267, 834, 763, 24712, 786, 16036, 950, 972, 781, 4708, 538, 519, 6089, 267, 543, 519, 19175, 540, 2713, 609, 1250, 674, 15967, 1350, 5417, 839, 1250, 2295, 281, 645, 1047, 23595, 2968, 669, 545, 267, 3226, 538, 3013, 781, 1101, 14447, 16973, 269, 1306, 513, 1267, 267, 17870, 5708, 5280, 547, 17297, 4733, 513, 24139, 3961, 8195, 547, 8350, 321, 2103, 543, 10636, 18400, 3988, 269, 5502, 540, 834, 956, 15487, 2580, 2474, 971, 607, 834, 1598, 1052, 2580, 834, 13512, 559, 697, 2580, 834, 4302, 518, 2580, 543, 834, 628, 2273, 3023, 2580, 941, 1031, 538, 519, 10643, 267, 543, 3382, 1148, 729, 23223, 2406, 2892, 20160, 269, 6468, 941, 849, 7608, 883, 519, 4108, 538, 519, 772, 269, 634, 11298, 289, 3459, 13629, 513, 12139, 11331, 634, 700, 9554, 538, 6902, 3330, 519, 4395, 3382, 540, 1169, 3390, 729, 741, 5692, 3948, 267, 519, 1101, 540, 799, 7150, 729, 834, 19733, 540, 519, 14583, 2668, 645, 27553, 267, 945, 849, 12349, 24139, 17870, 5708, 267, 2663, 7150, 602, 2021, 4857, 519, 1570, 12835, 1227, 676, 519, 3382, 1148, 269, 10783, 344, 2395, 262, 4050, 766, 729, 18796, 540, 562, 12584, 945, 834, 549, 1372, 257, 1142, 824, 610, 941, 4362, 547, 723, 20109, 1142, 824, 781, 28244, 269, 634, 12614, 540, 2622, 2782, 4083, 3361, 513, 7372, 30331, 10052, 538, 1004, 781, 2729, 607, 4108, 4254, 16478, 7722, 6634, 540, 2367, 269, 1717, 267, 29828, 731, 4797, 547, 2328, 827, 590, 2284, 323, 1279, 1310, 1200, 2669, 267, 970, 565, 1782, 590, 2284, 323, 781, 5898, 543, 741, 15754, 543, 11505, 269, 769, 930, 2665, 267, 621, 729, 711, 17019, 547, 2291, 269, 6869, 25978, 6931, 1188, 543, 824, 2021, 945, 941, 15034, 540, 1210, 546, 843, 657, 267, 971, 607, 1079, 562, 12584, 538, 476, 1626, 628, 2540, 8050, 13401, 585, 1210, 834, 332, 1468, 7405, 2580, 941, 27052, 811, 16094, 982, 1346, 945, 1705, 711, 269, 13067, 26557, 729, 10363, 538, 5125, 267, 1498, 3006, 7109, 730, 267, 607, 930, 3252, 941, 4847, 676, 519, 7128, 945, 3576, 519, 4316, 547, 11578, 519, 4408, 540, 28305, 338, 585, 2104, 4704, 269, 11374, 2622, 2782, 4083, 267, 513, 18487, 3350, 20399, 547, 2132, 547, 840, 21351, 2486, 607, 3533, 607, 2009, 538, 519, 772, 563, 21581, 827, 8350, 321, 2103, 2348, 3023, 538, 7890, 912, 299, 525, 15487, 538, 21569, 2483, 3719, 577, 543, 979, 6753, 540, 22371, 941, 8350, 321, 2103, 2348, 3023, 538, 7890, 7533, 1369, 8350, 321, 2103, 2348, 3023, 538, 7890, 561, 12028, 321, 2103, 602, 2021, 945, 7133, 547, 3442, 1063, 519, 1079, 1131, 581, 13087, 267, 610, 693, 2547, 23904, 547, 13930, 4896, 267, 543, 979, 2021, 4742, 14311, 3238, 609, 824, 10071, 19707, 610, 3185, 6996, 609, 824, 1347, 916, 729, 3348, 13895, 269, 634, 3303, 1243, 781, 9029, 14296, 1472, 1520, 23583, 267, 513, 635, 8565, 945, 14439, 9887, 2073, 525, 321, 2103, 606, 1863, 1310, 1554, 26689, 742, 339, 7232, 6883, 781, 5369, 13771, 807, 20351, 529, 663, 6763, 1369, 519, 19448, 26327, 8350, 756, 753, 540, 6657, 269, 769, 519, 8426, 983, 2276, 267, 519, 521, 729, 513, 3896, 540, 13964, 344, 1665, 267, 25473, 609, 3023, 269, 19537, 1233, 10564, 14667, 16299, 8657, 1769, 2989, 936, 8350, 321, 714, 985, 543, 7005, 547, 19626, 31408, 267, 945, 646, 2968, 1200, 11078, 2987, 25237, 267, 543, 1169, 538, 1776, 964, 25544, 19359, 609, 2904, 8845, 16262, 517, 269, 26240, 321, 2103, 28941, 12197, 532, 5206, 513, 6580, 11331, 634, 21058, 21673, 967, 5271, 6838, 593, 519, 791, 24411, 540, 24981, 16803, 15367, 729, 9277, 1310, 2922, 15209, 513, 4807, 1247, 4277, 607, 513, 812, 267, 543, 8350, 321, 2103, 2348, 3023, 538, 7890, 2016, 547, 1857, 1377, 543, 3670, 1296, 538, 21569, 269, 2701, 4847, 593, 519, 5898, 540, 2025, 543, 7318, 1200, 2648, 585, 967, 2103, 269, 966, 5435, 7902, 538, 16542, 3332, 2614, 547, 581, 5827, 1455, 1702, 267, 4352, 18683, 941, 4686, 269, 634, 31045, 10688, 267, 8653, 267, 543, 7115, 540, 1082, 1919, 1282, 543, 1310, 519, 2112, 1500, 621, 11807, 585, 13622, 5725, 547, 18188, 1510, 8152, 27512, 267, 1945, 602, 1131, 711, 723, 1044, 3768, 1815, 3660, 896, 2298, 4105, 543, 1514, 2923, 267, 2417, 1268, 824, 5121, 543, 5054, 269, 9406, 540, 834, 956, 15487, 2580, 5561, 971, 607, 834, 1598, 1052, 2580, 834, 13449, 2580, 834, 4302, 518, 2580, 543, 834, 628, 2273, 3023, 2580, 941, 4080, 538, 519, 536, 7431, 267, 543, 22902, 1148, 729, 2250, 642, 14489, 269, 20167, 1078, 3959, 3214, 602, 2367, 9763, 9886, 561, 817, 609, 1387, 29847, 269, 0, 289, 690, 11511, 788, 619, 616, 513, 2249, 540, 14686, 9006, 10535, 15315, 269, 1358, 616, 1572, 32181, 11511, 788, 619, 1317, 741, 2067, 7226, 568, 538, 536, 9233, 543, 2220, 10102, 269, 1358, 616, 2965, 16220, 9168, 15315, 5950, 883, 519, 3552, 676, 513, 14834, 10196, 563, 289, 690, 11511, 788, 619, 3548, 5631, 20883, 267, 16015, 267, 543, 1585, 7786, 563, 300, 908, 31171, 5475, 20282, 267, 519, 4775, 32181, 595, 872, 704, 786, 2482, 1200, 5798, 593, 513, 5757, 23810, 610, 513, 14927, 4062, 540, 2244, 269, 32181, 595, 872, 704, 5798, 616, 2356, 3043, 543, 723, 3039, 9634, 593, 873, 269, 634, 4816, 32181, 11511, 788, 619, 723, 811, 13671, 29086, 982, 519, 4079, 267, 1818, 873, 811, 5906, 563, 289, 690, 11511, 788, 619, 616, 1100, 8723, 15315, 267, 789, 4865, 8966, 5759, 269, 634, 10196, 945, 16220, 9168, 873, 5795, 873, 891, 5759, 912, 268, 8838, 545, 1025, 6814, 454, 268, 9605, 22165, 327, 454, 268, 8111, 17726, 0, 296, 13696, 3173, 723, 1500, 513, 4625, 1007, 4480, 540, 10991, 1565, 2702, 1759, 593, 3157, 8246, 547, 6460, 1257, 689, 476, 272, 1913, 547, 513, 1114, 269, 2311, 519, 1482, 942, 267, 519, 10872, 5418, 9778, 8444, 540, 6464, 899, 1913, 543, 6878, 607, 5094, 2453, 267, 1927, 609, 519, 12343, 540, 922, 798, 519, 8945, 12582, 1406, 581, 519, 8144, 4352, 519, 8207, 689, 519, 3803, 18454, 609, 519, 1034, 1950, 5214, 543, 2067, 6219, 13027, 6547, 267, 799, 538, 922, 6581, 826, 1223, 538, 1249, 581, 8246, 547, 2656, 523, 519, 1646, 540, 1007, 11955, 267, 676, 1259, 540, 1383, 269, 7021, 519, 2250, 476, 2004, 5756, 267, 4966, 1655, 22967, 275, 340, 454, 17647, 10599, 1194, 547, 16455, 519, 5904, 642, 572, 564, 26050, 519, 968, 329, 984, 892, 540, 7623, 14759, 547, 3132, 4096, 762, 16322, 2886, 689, 519, 2360, 540, 5214, 543, 2067, 6219, 2427, 2360, 269, 16480, 267, 5214, 543, 2067, 5820, 949, 1360, 1134, 581, 865, 14969, 602, 519, 3114, 3601, 543, 7180, 998, 6114, 28173, 796, 23100, 2406, 8101, 12985, 1797, 267, 6382, 519, 3803, 2164, 616, 5634, 28946, 2225, 547, 1118, 1978, 602, 789, 616, 2111, 547, 581, 22973, 513, 4627, 4939, 563, 1692, 1677, 3503, 3194, 14430, 454, 3383, 519, 3744, 1369, 519, 22126, 5530, 1507, 1870, 538, 2098, 584, 747, 17251, 547, 1118, 606, 5393, 23349, 979, 269, 14146, 532, 606, 5841, 1702, 2861, 3705, 614, 3301, 267, 789, 9862, 621, 547, 7500, 538, 5214, 7998, 269, 1306, 538, 1082, 824, 8320, 267, 519, 1007, 1982, 12346, 593, 606, 5841, 8849, 2146, 267, 602, 814, 8854, 998, 513, 2259, 540, 1008, 29850, 15904, 593, 606, 6909, 1297, 540, 1134, 8153, 7623, 2427, 2360, 267, 1082, 540, 799, 4755, 547, 581, 3226, 2352, 543, 865, 616, 5340, 538, 476, 1789, 268, 2412, 14938, 1113, 2409, 269, 26023, 267, 22126, 4966, 723 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 1114, 2186, 540, 15114, 607, 1134, 269, 1306, 519, 24347, 548, 6754, 5206, 547, 519, 10271, 538, 3504, 10218, 328, 267, 968, 712, 15114, 568, 538, 13140, 892, 630, 274, 281, 736, 1040, 6754, 1031, 519, 1893, 540, 15114, 3833, 17543, 1934, 585, 513, 7008, 540, 4128, 269, 3689, 267, 646, 6785, 602, 519, 1004, 538, 10218, 328, 1185, 741, 1378, 6216, 540, 12242, 15114, 282, 789, 941, 4961, 540, 519, 2749, 540, 10218, 328, 543, 267, 1317, 540, 741, 2027, 3140, 2078, 609, 7507, 267, 789, 941, 4936, 4961, 607, 1134, 269, 634, 10218, 2103, 941, 10583, 540, 741, 12242, 15114, 269, 1358, 941, 28165, 547, 581, 4936, 4961, 1256, 1498, 789, 5030, 2484, 2476, 689, 519, 11440, 3854, 269, 1358, 5433, 13348, 5328, 11348, 607, 29341, 4961, 540, 7507, 563, 13553, 267, 1498, 6754, 1705, 711, 20912, 519, 10218, 2103, 685, 3618, 569, 18523, 3347, 267, 646, 1705, 1201, 9347, 519, 2470, 540, 741, 15114, 269, 634, 10218, 1014, 10271, 941, 711, 1175, 4961, 540, 10218, 328, 543, 4961, 540, 7507, 269, 1358, 941, 267, 1034, 11932, 267, 4961, 540, 13140, 269, 4256, 3119, 15114, 729, 513, 31676, 835, 269, 1656, 741, 3119, 7083, 729, 711, 519, 4936, 19332, 267, 945, 10645, 519, 2140, 540, 968, 299, 867, 2223, 855, 519, 968, 306, 822, 1640, 267, 519, 7083, 4906, 2441, 892, 630, 274, 281, 736, 1040, 4438, 6754, 779, 1554, 267, 14336, 4800, 547, 2441, 607, 7083, 1500, 835, 513, 1514, 856, 4751, 269, 589, 1906, 5756, 2663, 621, 1131, 1118, 835, 513, 12004, 10455, 269, 4762, 31757, 2441, 607, 7083, 5921, 27102, 602, 19332, 729, 7083, 267, 543, 713, 729, 17709, 540, 11056, 689, 519, 4936, 1448, 540, 2070, 563, 9213, 267, 2436, 649, 616, 4961, 540, 519, 2136, 2276, 267, 4516, 267, 8478, 267, 12907, 267, 610, 596, 2012, 621, 267, 952, 649, 616, 10271, 1287, 649, 616, 4961, 540, 13140, 1101, 543, 19466, 269, 901, 1797, 267, 602, 1498, 649, 5431, 519, 3656, 6392, 540, 938, 4182, 267, 649, 11760, 835, 3020, 19988, 936, 938, 2729, 267, 12077, 267, 519, 7083, 4906, 2441, 269, 3776, 3119, 7029, 568, 547, 713, 7083, 269, 9282, 649, 2463, 519, 2229, 540, 938, 4182, 630, 305, 30689, 476, 1724, 281, 272, 268, 278, 1070, 649, 10505, 4628, 547, 519, 17046, 2229, 540, 938, 7083, 269, 1656, 1498, 649, 8661, 519, 1434, 1919, 827, 519, 2244, 538, 799, 649, 2661, 267, 649, 798, 711, 2648, 938, 2197, 14955, 3431, 269, 6270, 2648, 568, 11603, 585, 938, 7083, 563, 10303, 649, 616, 4961, 540, 13140, 267, 649, 723, 513, 5133, 689, 799, 547, 1871, 938, 4182, 1510, 9991, 883, 14255, 25771, 557, 610, 1256, 31561, 520, 9317, 18541, 269, 1879, 938, 1378, 2197, 1281, 1018, 568, 5812, 609, 2696, 779, 5126, 267, 649, 556, 329, 4069, 543, 2285, 7064, 269, 1879, 938, 2197, 8813, 2110, 540, 2696, 779, 4441, 676, 3850, 21440, 267, 649, 616, 2111, 547, 19039, 513, 4412, 4854, 968, 7224, 892, 543, 547, 960, 585, 519, 13319, 540, 2696, 779, 32660, 563, 2026, 4961, 540, 13140, 267, 649, 1810, 1406, 9011, 720, 938, 3618, 569, 15114, 269, 1809, 649, 3314, 602, 938, 3020, 543, 10700, 14336, 4800, 568, 547, 2696, 543, 1010, 10806, 269, 1284, 21334, 4906, 2441, 607, 7083, 1547, 1547, 1547, 938, 7083, 543, 519, 7083, 936, 782, 563, 1432, 827, 938, 2197, 798, 596, 9684, 2696, 585, 2221, 888, 1432, 827, 938, 2197, 798, 596, 3343, 2696, 779, 948, 888, 1692, 1281, 707, 31676, 15114, 1860, 519, 1259, 596, 1589, 267, 1745, 267, 543, 957, 607, 12504, 540, 606, 3618, 569, 2197, 888, 6826, 2386, 547, 1491, 942, 547, 7281, 585, 707, 2197, 2221, 269, 1403, 596, 616, 513, 12504, 540, 519, 2136, 2276, 267, 9684, 2696, 585, 1018, 568, 1434, 827, 713, 2197, 267, 561, 3512, 1018, 568, 9409, 267, 543, 2307, 585, 2696, 779, 948, 547, 1118, 713, 4182, 811, 1175, 538, 1169, 1259, 563, 24836, 4109, 2696, 267, 2221, 649, 798, 9684, 596, 585, 1018, 568, 1434, 827, 938, 2197, 267, 585, 782, 2081, 649, 607, 513, 4182, 2992, 707, 2418, 543, 14422, 269, 1411, 723, 25552, 721, 998, 713, 2197, 267, 543, 585, 713, 649, 9684, 596, 563, 4263, 519, 1482, 942, 267, 649, 21334, 602, 649, 723, 15468, 2110, 538, 1082, 2081, 269, 21298, 267, 1082, 540, 721, 723, 1831, 811, 3222, 540, 16526, 1644, 547, 1072, 1416, 267, 6009, 267, 4008, 267, 543, 5198, 269, 1284, 1294, 811, 5693, 875, 2484, 649, 723, 2943, 547, 979, 952, 649, 616, 547, 18220, 707, 5126, 543, 23502, 269, 1284, 21334, 938, 5609, 547, 596, 267, 938, 1367, 543, 9746, 5609, 269, 1284, 2307, 585, 707, 19807, 543, 585, 519, 11419, 547, 2490, 538, 9758, 1065, 550, 766, 563, 4002, 713, 1554, 267, 7083, 267, 649, 8661, 543, 649, 561, 3512, 267, 649, 21334, 543, 649, 4126, 267, 649, 1413, 547, 596, 547, 12115, 938, 4182, 267, 865, 602, 649, 1522, 811, 8499, 2992, 707, 10806, 593, 3618, 269, 2659, 10806, 2097, 256, 2659, 786, 581, 2944, 593, 3618, 607, 538, 13140, 269, 2549, 523, 563, 8340, 782, 5020, 585, 24285, 1821, 19600, 1934, 269, 10812, 1018, 519, 6426, 814, 547, 2161, 827, 960, 693, 519, 2189, 3896, 540, 938, 4891, 267, 519, 4400, 11910, 532, 21287, 267, 18799, 676, 519, 28613, 540, 4518, 5741, 269, 14506, 593, 2221, 779, 5020, 585, 24285, 6249, 666, 581, 1336, 1934, 281, 589, 14506, 585, 519, 19549, 540, 5147, 454, 29771, 547, 5020, 585, 24285, 454, 14294, 909, 547, 4309, 513, 5020, 585, 24285, 1821, 10899, 1142, 1554, 538, 707, 28600, 269, 898, 779, 1863, 547, 24049, 543, 596, 666, 5667, 889, 18285, 693, 1022, 942, 563, 7804, 269, 4460, 667, 269, 21662, 568, 513, 18947, 7309, 626, 585, 9509, 518, 779, 7665, 1546, 623, 872, 4741, 585, 15557, 267, 1141, 646, 6212, 593, 519, 5289, 1646, 543, 14762, 540, 3401, 269, 1261, 568, 519, 9030, 5856, 540, 519, 3232, 1821, 10899, 267, 5020, 585, 24285, 267, 543, 519, 13653, 540, 519, 1546, 623, 872, 4741, 779, 4469, 712, 5109, 538, 519, 12059, 12059, 540, 5020, 19541, 269, 2776, 16227, 267, 4460, 729, 519, 15445, 10615, 540, 519, 1546, 623, 872, 4741, 267, 519, 1291, 2250, 528, 540, 513, 5939, 538, 8828, 4993, 267, 543, 519, 18947, 10615, 540, 5487, 640, 700, 17690, 538, 7147, 269, 1261, 814, 2854, 5216, 2835, 267, 19421, 540, 4930, 267, 543, 936, 476, 273, 267, 4335, 1821, 19600, 602, 948, 1004, 3605, 519, 3017, 2696, 2306, 538, 741, 3232, 1272, 543, 5718, 269, 2060, 513, 1912, 6185, 269, 538, 1715, 11620, 689, 12370, 267, 4460, 11414, 693, 9509, 518, 12054, 2435, 267, 1034, 5063, 538, 1010, 667, 8160, 514, 269, 20165, 593, 968, 293, 28216, 267, 4518, 267, 13188, 267, 543, 966, 6327, 1848, 4460, 568, 9310, 547, 27692, 267, 513, 7365, 543, 1920, 24468, 267, 5289, 8689, 267, 543, 10324, 16455, 269, 4256, 1079, 6738, 1453, 616, 7855, 593, 519, 1164, 1153, 543, 2852, 1377, 269, 0, 9213, 713, 568, 711, 513, 1966, 547, 1205, 513, 12380, 1759, 1646, 4604, 2731, 10464, 269, 30722, 13100, 610, 2142, 14410, 24942, 616, 519, 1101, 602, 2097, 547, 2247, 269, 11109, 1346, 593, 707, 11380, 596, 9327, 1406, 1589, 827, 2679, 835, 676, 3054, 269, 28791, 596, 1616, 547, 4161, 3054, 269, 7009, 20891, 2219, 621, 1131, 581, 1187, 547, 1628, 513, 12380, 4604, 609, 645, 16598, 16267, 269, 1284, 782, 917, 602, 4421, 1359, 645, 16598, 693, 1753, 666, 581, 16602, 267, 855, 798, 762, 269, 1924, 646, 779, 6074, 10464, 8121, 300, 16267, 609, 3965, 2359, 1107, 11083, 11011, 306, 4456, 280, 301, 1321, 269, 898, 2501, 538, 476, 24241, 645, 16598, 10189, 609, 476, 271, 269, 275, 7825, 11084, 543, 3845, 1063, 476, 271, 269, 279, 7825, 269, 8921, 547, 621, 646, 3773, 667, 11403, 273, 20433, 799, 849, 2501, 538, 645, 16598, 10189, 563, 5194, 4161, 729, 547, 1265, 20111, 10672, 799, 1131, 1118, 1507, 21181, 543, 642, 5362, 6325, 543, 10464, 269, 13013, 295, 5244, 8604, 547, 581, 1318, 3903, 269, 4495, 12545, 814, 8452, 267, 1985, 1900, 729, 547, 1151, 1457, 13365, 543, 824, 15382, 307, 2694, 269, 1261, 4294, 4421, 1359, 13594, 609, 23296, 15078, 543, 5116, 13365, 269, 1261, 1185, 547, 581, 6297, 1317, 1256, 476, 271, 269, 275, 7825, 5470, 1131, 2014, 4737, 15558, 540, 3440, 5044, 269, 30052, 4421, 1359, 729, 2944, 609, 1201, 869, 14089, 799, 1705, 2816, 7168, 1434, 269, 4033, 3334, 899, 715, 13263, 8755, 543, 1804, 3334, 941, 4421, 1229, 676, 1688, 269, 3973, 646, 8848, 999, 12380, 1062, 799, 1185, 547, 581, 16041, 538, 547, 3965, 543, 9589, 5496, 7902, 269, 901, 568, 5863, 1018, 666, 581, 2944, 609, 1753, 2175, 543, 930, 1702, 2221, 269, 0, 288, 518, 18209, 11653, 19162, 7201, 6229, 729, 20829, 513, 24522, 515, 539, 654, 303, 268, 274, 291, 2107, 542, 20987, 12183, 24887, 2048, 298, 1069, 527, 685, 607, 1010, 2319, 24363, 883, 19996, 27950, 547, 2594, 14368, 1670, 1239, 269, 7201, 6229, 267, 945, 814, 2095, 333, 883, 19421, 540, 24377, 936, 519, 2250, 1906, 1296, 267, 4080, 602, 519, 8184, 729, 519, 13193, 326, 4554, 646, 1185, 2479, 4810, 269, 634, 19996, 814, 4867, 2451, 936, 835, 2929, 1004, 1510, 1379, 538, 519, 1533, 540, 8419, 563, 763, 2817, 7909, 545, 543, 27321, 10029, 630, 17472, 8150, 264, 771, 6312, 3481, 7201, 6229, 543, 1010, 2319, 547, 2594, 1558, 25233, 1239, 7282, 23587, 27950, 269, 634, 30857, 5531, 338, 2565, 4987, 547, 948, 1004, 2066, 3345, 3013, 5965, 585, 891, 31587, 12469, 269, 634, 1239, 6394, 676, 713, 2319, 4682, 547, 948, 14368, 5505, 5173, 519, 7088, 779, 18330, 543, 1761, 2208, 269, 901, 1344, 729, 1031, 547, 948, 1857, 8387, 6430, 593, 27549, 9753, 543, 1018, 17846, 12485, 1058, 581, 8246, 563, 298, 1069, 527, 543, 922, 18913, 12284, 8977, 539, 20279, 11875, 15838, 23076, 630, 9128, 291, 264, 693, 476, 6349, 281, 4649, 11632, 269, 634, 12284, 24363, 22703, 936, 519, 13323, 540, 6792, 547, 519, 12144, 267, 1141, 19996, 27950, 729, 18413, 3653, 547, 519, 2244, 267, 2011, 267, 543, 4262, 269, 2991, 10199, 1079, 3108, 538, 519, 2011, 267, 519, 4250, 1652, 918, 1069, 527, 11579, 3603, 519, 856, 25958, 6316, 540, 519, 19996, 563, 763, 17500, 729, 865, 6505, 621, 1500, 519, 3781, 1413, 899, 1554, 269, 17421, 281, 19162, 7201, 6229, 270, 17472, 8150, 454, 4407, 538, 519, 7088, 267, 7201, 6229, 7307, 547, 1118, 513, 3381, 10916, 540, 519, 32049, 1995, 269, 1261, 3323, 10916, 1247, 789, 941, 2282, 519, 2363, 1168, 718, 267, 835, 540, 519, 1034, 24360, 2694, 540, 513, 19996, 269, 901, 2501, 1175, 1354, 519, 3750, 267, 799, 568, 4583, 585, 1373, 519, 9350, 652, 851, 269, 1261, 4080, 602, 972, 729, 2484, 811, 17500, 982, 646, 1185, 2938, 538, 1022, 19996, 269, 27933, 519, 5230, 31285, 267, 3688, 3330, 519, 19970, 941, 1166, 2426, 538, 782, 8846, 5103, 519, 12284, 779, 1655, 3646, 547, 588, 1905, 3388, 1524, 269, 3245, 20974, 19843, 547, 12284, 2818, 267, 4986, 1223, 9101, 3993, 562, 2137, 535, 1722, 563, 763, 3750, 540, 519, 7088, 454, 763, 20987, 24363, 2786, 883, 519, 7088, 779, 3750, 267, 1141, 621, 4963, 743, 539, 547, 5531, 3606, 4365, 1239, 1354, 621, 8977, 539, 519, 7088, 269, 898, 8120, 547, 31246, 291, 693, 476, 6021, 281, 5655, 11632, 269, 27051, 8370, 3108, 1310, 918, 1069, 527, 1500, 3346, 609, 519, 2220, 26325, 642, 29448, 540, 2842, 543, 4764, 267, 27950, 1500, 2244, 6420, 2282, 10783, 2725, 14636, 267, 8419, 269, 1635, 519, 942, 621, 6603, 519, 733, 27631, 2475, 267, 621, 1185, 6738, 547, 513, 7121, 2185, 19996, 609, 12798, 538, 4430, 540, 476, 5611, 5195, 829, 5662, 563, 763, 30857, 8184, 1212, 9749, 979, 1141, 1906, 14742, 546, 732, 547, 25500, 269, 17421, 281, 22947, 288, 2264, 454, 5475, 1818, 2244, 6420, 267, 519, 19996, 3459, 547, 26632, 622, 607, 621, 18084, 519, 9456, 26026, 13635, 779, 7013, 25345, 269, 1635, 519, 942, 519, 3750, 7024, 547, 519, 9533, 7909, 267, 519, 7088, 568, 10567, 547, 9350, 547, 519, 1448, 621, 786, 1100, 3476, 581, 2808, 513, 19996, 855, 513, 5906, 9341, 7088, 269, 634, 7088, 786, 3136, 547, 1118, 922, 1259, 5087, 2059, 519, 9456, 2475, 8744, 5230, 11811, 543, 1164, 12798, 547, 519, 3148, 563, 8601, 922, 4744 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16886, 14884, 538, 5333, 543, 3567, 267, 799, 1810, 1406, 991, 971, 1164, 24289, 13475, 563, 2691, 1705, 960, 593, 15101, 273, 1376, 543, 1946, 568, 621, 865, 11786, 888, 9391, 273, 23498, 922, 3803, 19224, 548, 950, 621, 729, 2016, 9576, 2667, 550, 538, 5988, 476, 1001, 278, 267, 22338, 519, 1259, 585, 960, 593, 519, 1101, 5123, 540, 519, 1899, 547, 2253, 563, 763, 1899, 814, 1044, 6216, 539, 513, 834, 19009, 17707, 257, 602, 786, 15237, 998, 519, 3703, 24781, 267, 609, 930, 21427, 6849, 741, 3959, 1373, 24609, 539, 547, 1118, 1259, 563, 6124, 8027, 1609, 919, 3068, 1373, 14324, 1524, 547, 1118, 1259, 585, 519, 1164, 3432, 7841, 543, 606, 7634, 676, 519, 25357, 593, 10732, 10645, 11278, 2641, 332, 11669, 814, 1044, 6170, 9140, 5321, 1100, 3476, 4299, 1813, 547, 2242, 547, 519, 15101, 273, 8905, 267, 6028, 621, 609, 8075, 621, 3085, 1405, 991, 563, 31359, 5411, 4171, 5321, 723, 547, 581, 23542, 1639, 786, 581, 6035, 834, 1260, 1706, 762, 257, 3601, 267, 519, 4972, 585, 13255, 814, 7150, 563, 290, 2086, 5218, 1895, 17547, 15101, 273, 814, 5249, 24091, 547, 28586, 519, 7841, 1899, 267, 543, 3081, 519, 2229, 568, 24937, 922, 1378, 5796, 593, 31362, 519, 1604, 563, 1432, 814, 519, 1007, 6554, 1767, 888, 763, 20271, 894, 6554, 814, 2097, 896, 3595, 585, 546, 2416, 532, 593, 15101, 273, 585, 513, 1279, 942, 563, 289, 528, 529, 9652, 814, 1767, 602, 646, 568, 2469, 547, 2097, 547, 513, 3375, 713, 3018, 543, 2119, 547, 1265, 513, 1259, 547, 1205, 519, 3303, 16226, 6578, 1394, 593, 3950, 543, 814, 1572, 513, 16410, 6839, 5870, 547, 1205, 519, 3375, 1500, 563, 763, 3375, 568, 1373, 1200, 531, 4765, 607, 834, 1492, 1007, 6601, 343, 527, 257, 543, 568, 18445, 1175, 607, 8954, 633, 585, 631, 11679, 267, 945, 2901, 1294, 621, 607, 513, 3653, 540, 2724, 610, 4909, 547, 519, 2104, 540, 6628, 781, 4346, 543, 6679, 909, 519, 3345, 563, 303, 7035, 1227, 267, 621, 568, 513, 3978, 3390, 585, 519, 570, 1559, 267, 945, 13264, 519, 4414, 9931, 1282, 519, 5412, 9550, 593, 519, 9153, 540, 3257, 811, 585, 519, 3345, 563, 7628, 1010, 2196, 585, 7089, 476, 1015, 267, 16907, 529, 9652, 1767, 646, 1131, 711, 16150, 519, 4566, 267, 855, 1705, 2769, 834, 534, 343, 29136, 827, 519, 1870, 2013, 8487, 9558, 1636, 14199, 6182, 1218, 1744, 1952, 338, 9250, 513, 2689, 540, 519, 1788, 538, 476, 1001, 280, 267, 6031, 602, 513, 834, 2998, 610, 1100, 30559, 257, 3375, 1131, 581, 1500, 267, 6031, 621, 729, 834, 22529, 1043, 257, 547, 1294, 2436, 519, 2640, 2731, 834, 23637, 909, 8487, 24248, 712, 9263, 7083, 1520, 517, 529, 267, 513, 5449, 3560, 23122, 945, 5249, 607, 606, 5989, 9666, 518, 547, 634, 25564, 2904, 267, 1767, 519, 2689, 834, 338, 920, 9749, 27257, 1299, 519, 3345, 257, 543, 1131, 1831, 834, 320, 7372, 536, 684, 4339, 267, 1247, 519, 3560, 8257, 8255, 585, 3382, 543, 15101, 273, 13456, 568, 1612, 26087, 539, 676, 967, 1815, 1707, 8487, 299, 2969, 12239, 15101, 273, 21832, 306, 454, 27745, 15101, 273, 1205, 23545, 539, 888, 28269, 10579, 16907, 529, 9652, 814, 2016, 13170, 585, 519, 11278, 11793, 321, 11669, 1164, 18286, 7841, 2000, 1074, 15101, 273, 547, 979, 6619, 563, 3383, 519, 10171, 540, 23545, 566, 814, 1044, 1447, 2989, 563, 3891, 1767, 281, 834, 9213, 519, 16410, 6839, 814, 2016, 1164, 18286, 7841, 519, 3039, 5365, 910, 649, 616, 2469, 547, 1205, 713, 2944, 1701, 0, 303, 1115, 3112, 2697, 2933, 269, 3143, 2339, 519, 7154, 540, 2951, 6074, 267, 621, 568, 2556, 547, 11090, 707, 4620, 609, 1697, 8446, 1354, 16144, 856, 269, 901, 1131, 948, 2327, 707, 4620, 9060, 741, 1259, 1394, 547, 596, 538, 2013, 596, 1205, 9674, 269, 898, 849, 2337, 2061, 10539, 1063, 5411, 538, 2665, 1141, 1079, 10130, 1223, 18613, 1142, 824, 454, 303, 9007, 550, 22384, 585, 519, 8891, 454, 763, 8797, 2161, 602, 596, 666, 2760, 581, 1932, 18762, 269, 769, 1840, 547, 11090, 3101, 707, 4620, 609, 519, 2556, 8446, 16776, 267, 621, 568, 5227, 585, 596, 547, 3514, 873, 609, 513, 811, 8628, 7154, 540, 8446, 267, 971, 607, 513, 2890, 577, 760, 269, 901, 1131, 849, 948, 538, 9477, 540, 707, 4620, 538, 2013, 789, 32603, 1055, 610, 596, 1831, 9674, 563, 307, 1778, 23067, 2755, 1358, 616, 8479, 454, 2005, 568, 1271, 585, 596, 547, 5721, 707, 4620, 1247, 789, 616, 1869, 1762, 1317, 2831, 1491, 930, 942, 547, 4625, 4487, 12981, 543, 4397, 7180, 269, 1411, 1058, 5721, 873, 2611, 9350, 1282, 2951, 267, 543, 7157, 4431, 547, 12981, 269, 589, 8007, 1062, 568, 3810, 5227, 607, 621, 2337, 519, 4245, 4121, 6529, 811, 269, 1403, 596, 723, 811, 982, 835, 4620, 267, 621, 568, 15695, 596, 5721, 873, 14384, 563, 20376, 675, 2659, 8891, 585, 4256, 8881, 454, 5475, 2866, 519, 4620, 267, 1034, 1004, 8263, 621, 568, 2922, 547, 1577, 873, 32603, 1472, 519, 1286, 270, 30350, 1282, 2951, 269, 901, 568, 2705, 4636, 269, 3807, 899, 1004, 267, 10130, 1223, 1205, 13676, 950, 519, 6077, 540, 2951, 17648, 513, 6727, 3350, 610, 538, 519, 2013, 540, 606, 8009, 269, 898, 568, 4061, 5227, 547, 1835, 622, 519, 4620, 547, 1832, 873, 2922, 563, 16521, 513, 2672, 3386, 13488, 595, 3433, 454, 10111, 13205, 1500, 1210, 5958, 616, 513, 1434, 4781, 547, 3560, 707, 4620, 269, 21311, 4620, 19057, 267, 2705, 267, 616, 9053, 585, 741, 17545, 607, 789, 2709, 3106, 585, 1114, 12331, 540, 2951, 563, 303, 1115, 543, 23663, 454, 303, 1115, 971, 607, 5243, 543, 7314, 616, 3728, 543, 26227, 269, 1358, 786, 4061, 6923, 1118, 946, 540, 891, 5759, 950, 741, 3106, 568, 12219, 269, 898, 568, 267, 4061, 267, 1271, 547, 2327, 519, 4620, 7959, 2922, 543, 6899, 2429, 519, 7552, 563, 306, 539, 908, 519, 8891, 454, 303, 1115, 267, 899, 782, 824, 3425, 267, 4043, 547, 1332, 14221, 950, 6534, 538, 606, 14542, 4259, 269, 20767, 908, 873, 1223, 948, 8897, 741, 4160, 543, 4688, 873, 689, 8194, 543, 1256, 10913, 602, 1267, 689, 4250, 563, 10111, 787, 513, 3689, 22707, 8891, 14173, 454, 2171, 666, 2760, 2995, 952, 610, 950, 10913, 949, 4755, 269, 634, 1655, 1259, 547, 4831, 713, 568, 1373, 4712, 1175, 538, 2013, 789, 4755, 269, 8891, 5411, 616, 15695, 547, 4163, 513, 4620, 1101, 268, 4660, 6539, 602, 2882, 6512, 1137, 267, 12238, 2763, 267, 543, 7250, 25681, 1175, 538, 2013, 1802, 1424, 12154, 527, 568, 2556, 269, 1411, 1058, 849, 2141, 1246, 3268, 2016, 676, 606, 3662, 1072, 1416, 11285, 1101, 1354, 13948, 8156, 707, 4620, 689, 16143, 4598, 547, 13802, 563, 10111, 787, 8891, 5253, 543, 4826, 454, 308, 10811, 4624, 2621, 971, 607, 5721, 17799, 616, 17149, 269, 1924, 1282, 2951, 7041, 267, 621, 568, 1271, 602, 519, 4620, 8227, 12662, 713, 883, 7156, 543, 24502, 3063, 1426, 543, 1216, 585, 519, 4620, 1175, 538, 2013, 891, 2621, 4755, 269, 0, 288, 12525, 593, 29303, 853, 6506, 454, 21430, 513, 3349, 267, 2870, 2979, 2042, 454, 1103, 1840, 547, 17596, 2724, 547, 1628, 519, 9635, 267, 6837, 1185, 547, 6318, 2724, 547, 1832, 519, 9635, 538, 3028, 267, 602, 568, 267, 547, 2628, 585, 18203, 267, 8023, 543, 13848, 585, 519, 12284, 267, 3092, 269, 634, 12059, 6837, 4956, 602, 11645, 6394, 593, 20558, 1131, 581, 6659, 2687, 547, 519, 1739, 8430, 912, 4537, 641, 26283, 543, 23194, 5443, 941, 4280, 547, 2628, 267, 593, 1283, 540, 513, 10279, 540, 476, 278, 476, 272, 270, 273, 2600, 267, 606, 3606, 476, 272, 2600, 585, 16181, 267, 521, 5417, 956, 267, 16463, 17309, 267, 22970, 540, 581, 11232, 610, 5433, 610, 6404, 267, 666, 525, 267, 6972, 16853, 543, 627, 2354, 269, 2201, 513, 10279, 540, 476, 1015, 2600, 267, 6300, 26283, 543, 23194, 5443, 941, 4280, 547, 2628, 606, 3606, 476, 276, 2600, 593, 6149, 543, 552, 691, 1156, 2264, 267, 18899, 267, 1793, 622, 267, 20398, 543, 971, 563, 306, 1222, 5411, 941, 547, 2628, 606, 3606, 1269, 1547, 6734, 829, 1668, 3559, 540, 6070, 267, 1269, 1547, 1839, 21347, 829, 9522, 593, 782, 18535, 540, 9635, 543, 8043, 711, 540, 519, 772, 2529, 269, 543, 1269, 1547, 6187, 829, 9522, 593, 18535, 540, 9635, 540, 519, 772, 2529, 269, 7722, 538, 4914, 4123, 563, 16485, 1053, 547, 1118, 513, 3349, 540, 713, 1344, 543, 1711, 2979, 2042, 547, 5385, 609, 15032, 267, 971, 607, 281, 1548, 1131, 596, 723, 547, 2628, 538, 10279, 952, 596, 941, 513, 6300, 24010, 11449, 1269, 4335, 540, 16865, 16463, 17309, 286, 1269, 5655, 269, 2004, 269, 1215, 1454, 540, 713, 10279, 1131, 979, 547, 2628, 585, 519, 9635, 286, 1269, 276, 269, 876, 2107, 267, 875, 1804, 513, 695, 3612, 1131, 621, 1491, 547, 6318, 1269, 272, 267, 1822, 585, 1425, 6005, 519, 9635, 563, 920, 9016, 547, 15182, 918, 31348, 2006, 267, 15713, 3972, 2465, 267, 2475, 306, 9139, 7467, 543, 3427, 24490, 267, 2475, 306, 9139, 0, 1805, 516, 1115, 543, 13602, 941, 9788, 856, 267, 4054, 12630, 267, 519, 4195, 544, 28854, 9897, 941, 1196, 3022, 609, 26829, 540, 6960, 29326, 12992, 563, 257, 24938, 773, 519, 1133, 935, 638, 1229, 257, 676, 22186, 22220, 7439, 5142, 454, 10666, 513, 18158, 540, 891, 21432, 607, 1127, 835, 949, 2030, 4376, 602, 3340, 1454, 1216, 563, 257, 307, 4181, 267, 29759, 543, 26540, 540, 16506, 267, 476, 4489, 277, 257, 676, 15316, 454, 2691, 4628, 6738, 267, 519, 2030, 568, 540, 513, 13470, 10537, 1106, 267, 543, 827, 1614, 3952, 538, 4463, 563, 10454, 12197, 543, 12567, 29641, 540, 3013, 257, 676, 674, 8960, 8738, 337, 454, 5591, 835, 1058, 2030, 1164, 4441, 4849, 896, 2027, 6381, 282, 26829, 616, 513, 851, 540, 3592, 1169, 1804, 543, 1434, 4829, 3766, 31678, 563, 10454, 3883, 540, 623, 8986, 543, 1773, 4548, 257, 676, 11977, 19258, 5300, 454, 295, 2788, 4441, 543, 26829, 723, 849, 1044, 12630, 540, 891, 5613, 267, 607, 1134, 607, 540, 10027, 1845, 563, 257, 5319, 9871, 320, 4215, 27429, 267, 476, 1556, 628, 9990, 267, 11730, 476, 1556, 267, 6215, 823, 476, 274, 257, 676, 15316, 454, 1103, 1034, 4703, 543, 2694, 540, 519, 4703, 540, 2831, 543, 2371, 713, 4909, 1106, 568, 513, 18158, 563, 10454, 3778, 540, 20520, 267, 5292, 269, 4083, 630, 1993, 476, 273, 17983, 676, 21321, 560, 670, 2801, 1188, 601, 0, 15411, 7457, 4427, 2675, 3628, 7457, 454, 2419, 5190, 538, 10681, 334, 288, 22319, 1230, 8877, 29034, 534, 582, 13116, 15510, 543, 29034, 2033, 7621, 9179, 15783, 540, 16959, 5463, 25325, 23427, 11206, 1924, 2812, 454, 1103, 2067, 8134, 971, 607, 7733, 1283, 7240, 27080, 267, 2249, 5888, 13260, 543, 4005, 1275, 267, 616, 519, 1761, 10256, 540, 15655, 630, 6224, 275, 264, 10307, 267, 543, 3976, 267, 540, 519, 2551, 2450, 543, 2238, 540, 15655, 12444, 1944, 4551, 630, 300, 15477, 1040, 1677, 1449, 519, 8367, 602, 27177, 267, 3529, 2249, 543, 12119, 13260, 3310, 631, 15477, 2551, 543, 3037, 15655, 16617, 1761, 630, 300, 8008, 1070, 649, 5342, 1079, 15654, 1296, 540, 1353, 8939, 1614, 4609, 538, 513, 3819, 28301, 9341, 4104, 538, 25941, 4954, 328, 8664, 540, 9456, 31579, 541, 21423, 267, 3127, 269, 634, 7117, 303, 10135, 2164, 4951, 513, 1804, 8390, 538, 631, 15477, 2551, 2450, 630, 19817, 625, 575, 6629, 272, 546, 9749, 1070, 8151, 689, 476, 272, 269, 271, 6398, 476, 11793, 547, 476, 273, 269, 272, 6398, 476, 13040, 543, 476, 280, 269, 271, 6398, 476, 10755, 547, 476, 273, 269, 273, 6398, 476, 13040, 1282, 476, 1001, 277, 543, 476, 1001, 278, 6606, 269, 634, 3892, 540, 631, 15477, 2551, 7000, 519, 7678, 281, 14629, 9008, 3436, 1647, 3436, 14629, 19668, 609, 922, 3193, 9874, 538, 519, 5162, 543, 6922, 320, 538, 519, 24925, 4005, 269, 12524, 29164, 1353, 7000, 513, 2147, 7678, 538, 3037, 631, 8008, 630, 978, 8863, 275, 575, 6629, 272, 554, 6629, 272, 546, 9749, 1070, 621, 9867, 689, 476, 1015, 269, 277, 547, 476, 736, 269, 277, 543, 476, 1015, 269, 276, 547, 476, 736, 269, 278, 1282, 476, 1001, 277, 543, 476, 1001, 278, 6606, 269, 634, 9018, 24588, 11934, 4951, 2539, 631, 15477, 2551, 543, 631, 8008, 3379, 547, 896, 24588, 11934, 540, 3529, 2249, 645, 1393, 320, 1395, 657, 704 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3054, 12341, 267, 621, 568, 1454, 9875, 547, 4605, 3054, 2479, 3478, 972, 269, 968, 303, 8008, 303, 312, 301, 729, 2813, 538, 476, 1001, 272, 676, 513, 1507, 1895, 540, 2852, 1053, 21616, 609, 519, 19018, 622, 2179, 540, 2942, 6041, 540, 3109, 6107, 538, 519, 2199, 3377, 1848, 630, 335, 269, 476, 3199, 1040, 1403, 596, 1810, 1406, 899, 1018, 596, 1294, 267, 649, 991, 21927, 938, 1053, 543, 3214, 547, 1689, 621, 269, 15526, 19262, 547, 1294, 2933, 538, 513, 2318, 1769, 269, 13536, 593, 538, 519, 2376, 621, 14753, 547, 875, 1271, 1893, 568, 269, 1284, 666, 946, 938, 1913, 547, 267, 968, 28265, 3972, 543, 24244, 9739, 892, 630, 335, 269, 476, 3199, 1040, 610, 27298, 543, 16563, 873, 269, 1284, 28297, 938, 6107, 811, 982, 519, 2663, 563, 12552, 585, 2542, 2676, 2108, 14807, 908, 519, 2247, 1510, 18997, 519, 2295, 267, 568, 1100, 2069, 693, 782, 1848, 0, 763, 4527, 540, 4550, 13463, 6312, 4345, 645, 3644, 630, 295, 29669, 264, 4295, 17193, 630, 21468, 6953, 289, 322, 264, 568, 2808, 513, 6213, 10715, 15262, 540, 670, 29669, 3968, 269, 3371, 267, 649, 8947, 713, 2915, 2742, 676, 14236, 519, 9860, 540, 17537, 645, 642, 790, 8926, 538, 4550, 6953, 289, 322, 2942, 2347, 10074, 538, 15990, 269, 589, 2698, 540, 476, 278, 4817, 5171, 630, 272, 269, 278, 268, 736, 269, 271, 1296, 2025, 264, 1185, 6192, 670, 29669, 12674, 538, 26638, 543, 941, 4550, 6953, 289, 322, 2942, 269, 5395, 636, 5439, 941, 2139, 585, 476, 29121, 2043, 609, 9678, 4550, 6953, 29669, 2627, 12489, 630, 21468, 6953, 24871, 264, 630, 295, 24871, 13070, 24308, 543, 4550, 6953, 289, 322, 2942, 264, 543, 585, 476, 25090, 2043, 945, 7318, 2942, 585, 782, 476, 274, 12508, 630, 28256, 921, 1583, 821, 326, 894, 1040, 2353, 5439, 941, 11643, 585, 29920, 5832, 5114, 630, 303, 10135, 264, 13389, 1312, 519, 840, 306, 13478, 543, 2473, 270, 2181, 4211, 5444, 4525, 269, 2986, 519, 476, 29121, 5171, 609, 9678, 4550, 6953, 24871, 267, 476, 2918, 630, 276, 269, 4792, 8472, 941, 2318, 585, 670, 29669, 676, 476, 273, 2389, 13759, 19738, 269, 2986, 519, 476, 25090, 17784, 1583, 821, 326, 894, 5439, 267, 476, 1321, 630, 275, 269, 3445, 8472, 941, 2318, 585, 670, 29669, 5027, 269, 769, 519, 5449, 1895, 267, 519, 9860, 540, 642, 790, 8926, 729, 3648, 2362, 538, 2043, 9907, 476, 277, 547, 476, 1015, 1296, 982, 538, 782, 824, 6502, 5916, 630, 1556, 269, 11025, 260, 5288, 476, 274, 269, 278, 9077, 623, 284, 271, 269, 9826, 1040, 634, 4550, 6953, 24871, 5707, 619, 941, 3648, 2539, 538, 5171, 476, 277, 547, 476, 1015, 1296, 2025, 982, 538, 782, 824, 6502, 5916, 630, 7761, 269, 6187, 5288, 476, 4200, 269, 5038, 332, 296, 308, 8276, 299, 267, 623, 284, 271, 269, 271, 4343, 1040, 769, 2698, 267, 476, 278, 630, 271, 269, 4200, 8472, 5396, 1185, 3067, 16666, 670, 29669, 5027, 2157, 630, 18231, 268, 1240, 267, 279, 736, 296, 308, 8276, 299, 1040, 25627, 2079, 540, 519, 590, 5444, 7000, 6669, 9101, 899, 13592, 269, 22031, 22807, 645, 642, 790, 8926, 666, 2049, 538, 4625, 18764, 2043, 945, 616, 2942, 585, 4550, 6953, 289, 322, 563, 3008, 297, 290, 2480, 22455, 1641, 2127, 454, 299, 2967, 267, 631, 269, 654, 1421, 6931, 267, 570, 269, 962, 1421, 9149, 836, 267, 918, 269, 670, 1421, 6931, 267, 654, 269, 681, 1421, 1299, 962, 12317, 267, 595, 269, 570, 269, 630, 1001, 277, 1040, 22031, 22807, 645, 642, 790, 8926, 538, 4625, 6375, 1242, 2043, 2942, 585, 4550, 13463, 6312, 4345, 645, 4295, 17193, 269, 6925, 630, 18197, 2276, 1070, 476, 4817, 263, 5392, 1070, 552, 6321, 273, 276, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 11820, 278, 270, 13270, 269, 1822, 1822, 1822, 1822, 6321, 273, 276, 0, 2691, 645, 4926, 31105, 454, 1692, 547, 6023, 606, 7237, 454, 2252, 596, 7237, 835, 540, 891, 538, 519, 3552, 267, 2611, 9985, 1869, 269, 1684, 711, 1118, 3750, 3346, 610, 1900, 4464, 267, 610, 596, 1522, 2721, 922, 3007, 269, 5502, 267, 1118, 621, 2312, 602, 596, 616, 3222, 540, 922, 4527, 267, 855, 905, 793, 771, 15517, 269, 6733, 2476, 269, 1403, 596, 616, 7555, 2673, 547, 922, 4397, 2619, 267, 1491, 513, 13581, 1900, 1394, 267, 11173, 547, 2057, 3750, 3346, 269, 918, 14525, 21772, 1246, 1360, 14461, 9194, 3270, 267, 543, 723, 1360, 2370, 942, 547, 3247, 547, 3049, 269, 22165, 515, 7444, 269, 918, 14525, 21772, 666, 2631, 791, 520, 1466, 610, 4160, 543, 786, 3500, 547, 8495, 563, 2252, 596, 1246, 713, 5796, 267, 519, 1668, 1058, 1780, 596, 1510, 1022, 2800, 269, 5457, 267, 621, 781, 811, 12922, 540, 596, 982, 596, 616, 540, 621, 563, 32153, 1668, 3620, 684, 1562, 949, 4163, 4482, 1218, 971, 607, 1412, 339, 758, 839, 262, 610, 1412, 10139, 525, 8339, 12875, 626, 6763, 949, 2119, 547, 6133, 596, 971, 3688, 607, 3209, 2906, 269, 1684, 711, 581, 18174, 539, 269, 12197, 10274, 616, 2139, 799, 1397, 519, 1455, 9194, 3270, 540, 891, 581, 6814, 267, 855, 616, 1134, 8153, 547, 581, 2407, 540, 538, 3147, 340, 20874, 269, 18963, 540, 3350, 666, 1689, 5662, 569, 269, 2142, 18762, 269, 19321, 707, 3845, 1256, 952, 596, 7237, 513, 1668, 602, 4667, 547, 581, 13676, 610, 16889, 4534, 789, 616, 3362, 1008, 12097, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 2681, 814, 519, 1034, 1648, 269, 4595, 2699, 6329, 723, 519, 13074, 5951, 1648, 789, 786, 723, 1447, 1648, 982, 6329, 609, 10156, 20966, 269, 774, 1846, 1946, 519, 2681, 3109, 4991, 3905, 2656, 855, 711, 3043, 269, 6904, 26282, 10805, 519, 9803, 2837, 269, 5221, 642, 14489, 6329, 723, 519, 20125, 15423, 540, 7298, 1769, 8552, 789, 4163, 1034, 1648, 476, 1839, 1232, 476, 1001, 276, 562, 1511, 1164, 476, 6110, 24519, 7397, 10384, 7397, 2681, 555, 320, 563, 7617, 26282, 10805, 519, 5207, 2837, 269, 594, 3494, 519, 2681, 568, 3043, 269, 634, 811, 1648, 513, 5951, 814, 519, 2362, 922, 4908, 543, 13030, 17930, 269, 966, 14489, 1769, 814, 519, 1034, 1648, 829, 27141, 540, 1022, 7298, 2681, 540, 1769, 609, 513, 15423, 540, 827, 476, 6110, 16354, 563, 763, 9803, 4908, 540, 7298, 1769, 799, 568, 2699, 814, 519, 2547, 1648, 269, 8299, 19965, 1769, 814, 606, 1256, 4130, 15423, 543, 607, 513, 1267, 811, 1648, 829, 27141, 855, 621, 568, 15865, 547, 519, 1480, 3750, 269, 2051, 712, 1281, 660, 1860, 519, 1648, 540, 1022, 1272, 845, 538, 1880, 855, 540, 519, 1114, 7298, 15437, 540, 1769, 2699, 814, 519, 2547, 1648, 543, 642, 14489, 814, 519, 1034, 269, 634, 2681, 602, 814, 519, 2547, 1648, 568, 2699, 563, 7617, 11954, 5068, 4847, 519, 2547, 1648, 547, 1780, 998, 621, 269, 966, 14489, 1769, 562, 1511, 1164, 1648, 476, 6110, 24519, 7397, 2699, 723, 2547, 1648, 269, 1879, 621, 2501, 547, 7298, 1769, 519, 5207, 4908, 2681, 799, 568, 642, 14489, 849, 814, 519, 1034, 1648, 269, 0, 6124, 4139, 19405, 454, 2252, 2576, 1793, 2355, 596, 593, 835, 32336, 267, 2490, 547, 873, 519, 824, 849, 269, 1403, 2576, 3217, 707, 10359, 267, 798, 711, 609, 3835, 707, 25099, 689, 873, 563, 21914, 6276, 6426, 454, 4517, 21349, 1864, 602, 1159, 527, 996, 26899, 593, 519, 835, 32336, 2709, 849, 519, 824, 282, 543, 1864, 602, 512, 752, 996, 2476, 16815, 804, 5803, 17246, 573, 711, 547, 1491, 16815, 10359, 849, 563, 291, 541, 2421, 6426, 22564, 454, 2414, 1864, 602, 1159, 2572, 26899, 593, 519, 32336, 267, 2709, 849, 519, 824, 282, 543, 689, 1864, 602, 1131, 1491, 2476, 16815, 28630, 267, 17246, 573, 711, 16815, 1560, 18396, 520, 849, 563, 13328, 2296, 6426, 454, 2414, 1864, 945, 16716, 596, 593, 519, 32336, 267, 2709, 849, 519, 824, 282, 543, 689, 1864, 945, 3217, 2476, 707, 27972, 752, 267, 1810, 1405, 609, 3835, 707, 10359, 849, 563, 21930, 781, 22175, 1968, 22564, 454, 663, 547, 1864, 1159, 1746, 26899, 2390, 519, 32336, 267, 2285, 849, 519, 824, 267, 543, 689, 1864, 2921, 2476, 689, 26899, 519, 25136, 267, 849, 519, 10359, 23524, 949, 652, 711, 1832, 1394, 563, 299, 8123, 476, 277, 281, 3066, 23155, 454, 4467, 29232, 5141, 541, 651, 781, 19410, 776, 593, 519, 6426, 454, 1320, 344, 27972, 752, 910, 16815, 10359, 910, 769, 15623, 476, 276, 281, 2412, 267, 594, 723, 1767, 602, 3213, 520, 267, 6543, 485, 15403, 16483, 22886, 14832, 10382, 267, 19752, 896, 28630, 267, 610, 2269, 527, 10359, 282, 543, 1849, 334, 752, 267, 31057, 365, 19031, 10382, 16483, 15403, 14267, 14832, 267, 1797, 5580, 28630, 267, 610, 1390, 10359, 269, 901, 7664, 568, 9672, 676, 519, 1739, 7422, 540, 21674, 13428, 576, 269, 634, 6543, 485, 15403, 16483, 22886, 14832, 729, 513, 7113, 3821, 267, 610, 22514, 1723, 520, 267, 936, 799, 519, 7642, 543, 824, 6082, 28520, 606, 9018, 10359, 267, 610, 575, 1144, 267, 1572, 513, 27972, 752, 267, 15623, 476, 276, 281, 2412, 267, 630, 6518, 568, 5921, 676, 31057, 365, 19031, 10382, 16483, 15403, 14267, 14832, 1070, 950, 789, 4682, 13383, 267, 610, 941, 711, 693, 960, 269, 9747, 519, 1455, 1004, 693, 7507, 267, 945, 1705, 711, 2356, 5957, 267, 610, 1185, 1100, 1318, 547, 5957, 267, 519, 547, 8615, 267, 616, 1572, 676, 9710, 864, 7113, 545, 9850, 1402, 749, 639, 267, 9210, 626, 269, 1775, 269, 476, 278, 267, 476, 4792, 269, 901, 2272, 540, 519, 3017, 1063, 519, 6543, 485, 15403, 16483, 22886, 14832, 543, 519, 31057, 365, 19031, 10382, 16483, 15403, 14267, 14832, 5526, 10750, 569, 689, 1018, 7665, 574, 639, 14977, 686, 639, 3081, 267, 634, 6418, 28630, 799, 568, 936, 519, 1560, 789, 1289, 6543, 485, 15403, 16483, 22886, 14832, 15403, 17385, 24681, 14267, 14832, 267, 543, 519, 9018, 835, 519, 31057, 365, 19031, 10382, 16483, 15403, 14267, 14832, 269, 1656, 865, 1773, 583, 1105, 267, 630, 514, 715, 340, 696, 269, 533, 269, 476, 16928, 267, 1196, 269, 17012, 269, 476, 14341, 271, 1070, 6340, 540, 513, 812, 945, 5433, 519, 3002, 540, 519, 3141, 1932, 1454, 585, 1864, 267, 3081, 602, 646, 2322, 1055, 267, 26018, 14267, 14832, 6543, 485, 15403, 16483, 22886, 14832, 10382, 267, 26018, 413, 379, 367, 31057, 364, 19031, 10382, 16483, 15403, 413, 379, 367, 267, 1010, 22514, 1723, 520, 849, 609, 1010, 27972, 752, 563, 307, 516, 21204, 540, 23075, 11310, 454, 299, 3869, 299, 9155, 540, 519, 8003, 454, 262, 4517, 1261, 24850, 909, 3571, 4064, 593, 3571, 20785, 267, 543, 1767, 267, 645, 1652, 539, 581, 9493, 4057, 281, 585, 16523, 568, 519, 10806, 540, 2696, 267, 476, 2641, 269, 645, 1652, 539, 616, 9493, 602, 14000, 1631, 281, 585, 9493, 4927, 581, 4904, 269, 645, 1652, 539, 616, 9493, 602, 649, 788, 1631, 281, 585, 9493, 4927, 14902, 269, 476, 2420, 269, 645, 1652, 539, 616, 9493, 267, 950, 2367, 4927, 13842, 596, 267, 543, 950, 789, 4927, 5094, 596, 689, 741, 2754, 267, 543, 4927, 1065, 25209, 596, 267, 543, 5641, 856, 707, 2012, 607, 9409, 267, 585, 519, 12312, 540, 812, 781, 19160, 269, 476, 2537, 269, 1234, 329, 4069, 9493, 538, 602, 1554, 267, 543, 20014, 585, 7772, 282, 585, 267, 1531, 1245, 267, 707, 8007, 568, 1390, 538, 13140, 281, 585, 538, 519, 6693, 20694, 6387, 5839, 331, 13873, 1765, 2750, 21752, 2986, 10513, 23075, 454, 306, 1069, 517, 585, 519, 19549, 10732, 1310, 27076, 454, 763, 4168, 2667, 13554, 538, 24167, 883, 1010, 12618, 538, 24553, 563, 2171, 1744, 718, 711, 581, 30985, 538, 519, 681, 21403, 540, 519, 667, 583, 625, 538, 799, 4168, 11146, 2483, 3719, 594, 2995, 596, 267, 798, 711, 5706, 606, 9409, 1268, 269, 1403, 4896, 1793, 2355, 596, 593, 519, 1318, 32336, 267, 2490, 547, 873, 519, 824, 32336, 849, 563, 4517, 952, 4896, 6499, 547, 647, 324, 596, 543, 1491, 707, 25099, 267, 1688, 936, 707, 10359, 607, 1134, 563, 24876, 547, 3025, 945, 12134, 596, 267, 543, 952, 4896, 3217, 1018, 12851, 547, 596, 267, 798, 711, 3747, 621, 1394, 563, 297, 2794, 547, 19881, 289, 1652, 645, 869, 4258, 2131, 1849, 334, 752, 1849, 5803, 3213, 520, 4354, 572, 8131, 1280, 321, 573, 717, 1161, 670, 1080, 20644, 4860, 850, 7605, 324, 1744, 7398, 17121, 590, 2466, 525, 590, 2466, 996, 25126, 17547, 22367, 7719, 12414, 539, 2060, 3835, 454, 297, 2794, 547, 8921, 289, 1652, 645, 869, 4258, 2131, 1849, 334, 752, 1849, 5803, 3213, 520, 4354, 572, 8131, 1280, 321, 573, 717, 1161, 670, 1080, 20644, 4860, 850, 7605, 324, 1744, 7398, 17121, 590, 2466, 525, 590, 2466, 996, 25126, 17547, 22367, 7719, 12414, 539, 2060, 3835, 454, 299, 3855, 299, 8123, 476, 277, 281, 3066, 715, 4353, 454, 299, 8123, 476, 277, 281, 3066, 715, 299, 307, 454, 299, 8123, 476, 277, 281, 3066, 11536, 309, 454, 299, 8123, 476, 277, 281, 3066, 7730, 289, 454, 299, 8123, 476, 277, 281, 3066, 918, 297, 309, 454, 299, 8123, 476, 277, 281, 3066, 6426, 29393, 454, 299, 8123, 476, 277, 281, 3066, 645, 7441, 807, 3474, 531, 11253, 454, 299, 8123, 476, 277, 281, 3066, 4457, 6426, 454, 299, 8123, 476, 277, 281, 3066, 3943, 6426, 454, 299, 8123, 476, 277, 281, 3066, 4436, 6426, 454, 299, 8123, 476, 277, 281, 3066, 19410, 2456, 454, 15578, 670, 5357, 312, 19739, 25770, 267, 21832, 29206, 2793, 3582, 3201, 966, 8991, 12778, 10378, 267, 715, 4353, 10378, 14645, 9736, 476, 3192, 274, 267, 476, 3192, 279, 267, 476, 2735, 275, 267, 476, 1001, 272, 676, 645, 756, 997, 320, 10378, 269, 0, 10955, 13428, 576, 779, 4653, 779, 3965, 454, 763, 1101, 12896, 3240, 22952, 454, 23192, 3838, 676, 3798, 13428, 576, 454, 23192, 1572, 519, 12896, 25869, 17758, 267, 519, 1101, 12896, 332, 903, 941, 19942, 856, 593, 2904, 476, 275, 267, 476, 4198, 280, 267, 547, 8956, 519, 7574, 18517, 676, 22407, 585, 519, 1032, 476, 4198, 279, 269, 634, 16008, 729, 18799, 676, 635, 539, 1014, 18200, 19300, 331, 543, 4371, 693, 519, 30094, 569, 23664, 2023, 23392, 538, 30094, 569, 22193, 267, 4993, 563, 292, 12848, 32684, 2059, 609, 4032, 5178, 773, 2968, 519, 1101, 3979, 1977, 2206, 619, 547, 3094, 12896, 3240, 22952, 693, 519, 1101, 5993, 16008, 269, 769, 1249, 267, 32684, 4465, 1079, 17758, 693, 519, 22305, 1116, 2680, 267, 835, 585, 7454, 27227, 13437, 269, 0, 9209, 2873, 281, 476, 7906, 2164, 31207, 2164, 19314, 763, 11206, 12140, 1995, 814, 4547, 1082, 2640, 547, 1453, 693, 513, 4259, 538, 10430, 269, 7788, 11321, 773, 595, 7342, 5069, 6257, 519, 1184, 563, 21886, 15758, 1453, 547, 2263, 519, 13964, 811, 11884, 9863, 547, 581, 513, 2528, 1689, 538, 7313, 1961, 267, 3081, 29366, 5576, 332, 1221, 518, 267, 7216, 4804, 27545, 11819, 630, 5085, 2969, 264, 1369, 519, 7313, 1961, 7216, 13012, 12243, 563, 11073, 21830, 5054, 666, 2709, 1434, 3255, 585, 1453, 547, 1628, 543, 1020, 1688, 31378, 1071, 268, 867, 1588, 267, 952, 519, 1318, 7459, 616, 1500, 269, 7325, 773, 13738, 15109, 519, 1655, 4485, 563, 14399, 538, 835, 4639, 12246, 16303, 1153, 723, 1044, 3478, 2673, 547, 2470, 7064, 547, 513, 3860, 1788, 543, 519, 8187, 325, 25717, 543, 22911, 4133, 11565, 1863, 11564, 10872, 267, 3081, 16888, 25679, 331, 664, 563, 30874, 9205, 1404, 814, 1082, 2640, 585, 1453, 269, 966, 643, 24900, 6941, 875, 1200, 1453, 781, 8998, 568, 8716, 3885, 547, 1205, 856, 543, 827, 267, 4764, 610, 19542, 563, 15761, 2056, 2081, 547, 1628, 1453, 781, 2168, 4222, 609, 513, 2039, 540, 4277, 2200, 543, 2238, 568, 2653, 910, 543, 4105, 267, 3081, 7325, 773, 13738, 563, 17809, 4575, 3255, 585, 3742, 9205, 1404, 3648, 4679, 1453, 781, 22231, 543, 621, 991, 711, 581, 7199, 267, 3081, 7325, 773, 13738, 563, 288, 4104, 1604, 22262, 519, 946, 540, 10855, 1893, 267, 3081, 8349, 710, 20242, 1206, 267, 513, 11206, 12140, 6205, 585, 1896, 3506, 538, 13573, 563, 763, 2168, 543, 2790, 2640, 540, 513, 11206, 3427, 3018, 585, 1453, 693, 513, 3162, 1744, 3658, 4259, 723, 25295, 6788, 563, 2467, 568, 1454, 547, 1745, 543, 3605, 538, 519, 18137, 8726, 519, 4365, 267, 3081, 8349, 710, 20242, 1206, 267, 11206, 3427, 6205, 609, 853, 6723, 781, 12729, 3427, 267, 654, 549, 628, 600, 563, 268, 15099, 630, 7906, 994, 268, 2037, 29058, 5054, 630, 7906, 994, 268, 4934, 13073, 630, 7906, 994, 268, 6657, 630, 7906, 994, 268, 11242, 630, 5379, 994, 268, 4197, 519, 1158, 630, 1724, 994, 268, 8447, 1646, 630, 1015, 994, 268, 4132, 1646, 630, 275, 994, 268, 4033, 630, 275, 994, 268, 17510, 547, 555, 4181, 630, 274, 994, 268, 2657, 543, 6484, 630, 274, 994, 268, 5890, 4809, 6575, 543, 1374, 630, 273, 994, 268, 9866, 3569, 270, 817, 20156, 270, 680, 8911, 630, 273, 994, 268, 16811, 543, 2200, 630, 272, 994, 268, 9608, 4882, 3469, 270, 655, 10899, 1646, 630, 272, 994, 268, 11554, 609, 3237, 630, 272, 264, 0, 291, 745, 1749, 941, 519, 31794, 540, 3504, 22469, 2486, 269, 1358, 941, 3909, 3401, 267, 3744, 267, 543, 3173, 269, 1358, 941, 15023, 267, 4012, 5974, 267, 543, 19936, 269, 1809, 789, 941, 4625, 530, 21317, 856, 676, 519, 14564, 1472, 476, 6872, 5084, 2059, 609, 782, 667, 745, 573, 1975, 20635, 543, 13742, 269, 1924, 267, 1360, 2370, 3788, 547, 713, 1554, 563, 763, 2012, 968, 291, 745, 573, 892, 11710, 689, 519, 21475, 26049, 2262, 968, 1457, 340, 2223, 2495, 968, 25152, 2223, 799, 7960, 689, 519, 5259, 2262, 585, 968, 334, 752, 2223, 610, 968, 323, 6350, 1848, 24296, 584, 29418, 267, 519, 1259, 540, 519, 667, 745, 573, 11394, 10103, 609, 2470, 543, 513, 1272, 5030, 6923, 543, 789, 5641, 741, 9059, 667, 745, 573, 28542, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2048, 14875, 302, 8970, 4603, 685, 610, 2048, 14875, 302, 8970, 25277, 685, 543, 596, 786, 1265, 602, 930, 2161, 602, 2831, 666, 2631, 1945, 1114, 827, 16220, 22041, 8970, 543, 2057, 4189, 621, 952, 789, 666, 269, 2368, 1004, 723, 1256, 2322, 713, 2243, 547, 519, 1449, 676, 3257, 741, 1378, 4603, 547, 1265, 856, 256, 661, 1513, 540, 10648, 302, 543, 1875, 8566, 19616, 8970, 723, 1044, 5116, 2427, 8386, 20933, 547, 1265, 856, 952, 835, 1274, 4991, 13881, 543, 519, 824, 1281, 711, 563, 763, 2164, 540, 891, 23278, 4973, 5359, 616, 6404, 269, 2368, 1867, 602, 519, 10648, 302, 8970, 568, 14284, 267, 1247, 1866, 630, 10175, 713, 3381, 264, 1867, 602, 972, 568, 1100, 3017, 269, 5620, 972, 1044, 1022, 3621, 2090, 602, 4983, 713, 2243, 286, 3502, 835, 602, 594, 666, 1265, 269, 2334, 779, 1946, 649, 4956, 547, 798, 835, 267, 855, 649, 2461, 711, 2469, 547, 798, 621, 593, 938, 1378, 269, 1284, 2461, 2469, 547, 798, 713, 4603, 609, 596, 1107, 607, 519, 1101, 2479, 18299, 523, 3163, 4603, 547, 1449, 2442, 6811, 827, 10648, 11675, 2336, 763, 10648, 302, 12397, 15331, 454, 2171, 2461, 7432, 547, 7715, 4206, 27448, 547, 1205, 713, 4603, 1055, 519, 2666, 269, 1284, 9250, 513, 2508, 24597, 5859, 593, 15331, 2593, 547, 2628, 585, 519, 1942, 540, 1818, 543, 11288, 4603, 20164, 547, 18299, 523, 26831, 13538, 945, 1129, 909, 547, 581, 513, 851, 540, 519, 4603, 269, 1284, 991, 547, 6318, 1269, 277, 267, 1220, 547, 2322, 1927, 543, 6928, 20733, 540, 476, 7742, 4603, 20164, 267, 543, 2628, 585, 519, 12375, 547, 15476, 519, 2164, 538, 513, 3621, 4760, 269, 1284, 616, 6998, 585, 513, 1269, 1839, 21856, 547, 7119, 538, 713, 4603, 267, 543, 4376, 936, 602, 786, 979, 4724, 11488, 20164, 547, 3506, 547, 7119, 585, 1863, 2336, 5978, 15331, 2593, 2508, 571, 16014, 568, 519, 1747, 547, 979, 547, 1265, 856, 811, 827, 875, 713, 4603, 786, 960, 267, 875, 547, 24946, 267, 543, 811, 269, 6744, 856, 519, 3381, 267, 1287, 979, 547, 8940, 14371, 19616, 23024, 2939, 2593, 563, 763, 7715, 4206, 27448, 5859, 786, 2063, 585, 1152, 476, 736, 2395, 267, 10678, 693, 28813, 593, 19343, 269, 2991, 602, 1107, 543, 594, 1611, 1318, 1310, 602, 267, 649, 2461, 11288, 519, 20164, 856, 547, 938, 13538, 945, 786, 581, 2111, 547, 798, 519, 4603, 607, 2038, 607, 5437, 2336, 21093, 2257, 883, 519, 3946, 540, 3214, 454, 2171, 1616, 3214, 543, 3506, 547, 581, 513, 851, 540, 713, 4603, 865, 789, 666, 1451, 827, 875, 2257, 568, 2944, 538, 513, 3946, 6823, 543, 1187, 1259, 269, 1703, 786, 581, 865, 1082, 3255, 585, 1053, 547, 1118, 741, 1378, 11236, 267, 5531, 1239, 267, 543, 1106, 8753, 269, 3973, 789, 786, 1205, 547, 1451, 827, 875, 3744, 10956, 6901, 543, 9192, 1239, 547, 1106, 6793, 8753, 269, 7053, 267, 789, 786, 1451, 827, 875, 3744, 979, 998, 9263, 2689, 547, 1205, 741, 3803, 1957, 3370, 585, 519, 3621, 2146, 547, 1294, 269, 898, 568, 938, 4126, 602, 22881, 786, 581, 2111, 547, 2322, 538, 513, 2370, 3787, 811, 865, 602, 649, 666, 2285, 519, 1205, 2257, 883, 519, 3946, 540, 3214, 2336, 10673, 622, 3371, 269, 3973, 1129, 909, 585, 519, 4603, 3371, 563, 7021, 519, 1985, 476, 736, 2395, 267, 649, 3580, 581, 10213, 596, 811, 827, 875, 519, 4603, 786, 960, 267, 519, 1394, 32143, 827, 875, 713, 3357, 1927, 267, 5961, 540, 519, 8970, 2371, 950, 789, 941, 3395, 267, 543, 811, 269, 1280, 835, 3364, 267, 594, 786, 723, 5111, 476, 273, 267, 1822, 7273, 540, 8970, 6029, 909, 593, 1250, 7450, 21163, 538, 1079, 2395, 256, 1411, 786, 581, 2111, 547, 1294, 875, 7372, 713, 4603, 666, 1831, 267, 607, 649, 666, 1118, 909, 547, 476, 272, 267, 7742, 4603, 20164, 269, 901, 4603, 568, 2469, 547, 4755, 543, 1934, 779, 707, 4960, 547, 581, 513, 851, 540, 621, 269, 1284, 1223, 6166, 606, 5863, 1198, 610, 7006, 601, 513, 7242, 1927, 1107, 543, 2901, 1259, 649, 3580, 4434, 2257, 543, 723, 513, 2603, 540, 1187, 3257, 621, 563, 1607, 568, 513, 1390, 4603, 256, 1772, 621, 2009, 547, 7119, 538, 824, 2477, 899, 19934, 888, 12552, 585, 6998, 256, 2311, 713, 1448, 267, 649, 616, 3168, 883, 1373, 2111, 547, 1331, 4516, 630, 6518, 4667, 1360, 2693, 693, 713, 3942, 1070, 855, 519, 9167, 949, 581, 1360, 9157, 547, 6330, 269, 634, 10648, 302, 3099, 543, 782, 540, 922, 7592, 1131, 991, 547, 581, 9516, 543, 24317, 5452, 2066, 10665, 11438, 922, 1378, 2152, 607, 1134, 563, 1607, 568, 938, 1101, 18299, 523, 3163, 4603, 267, 543, 649, 1544, 547, 798, 811, 538, 519, 2104, 267, 543, 5310, 930, 540, 519, 2093, 649, 3580, 723, 786, 581, 4443, 547, 2936, 5001, 2336, 1607, 568, 513, 24321, 2969, 2856, 2336, 3719, 1018, 4010, 798, 596, 1611, 968, 335, 599, 585, 519, 12375, 547, 15476, 519, 2164, 538, 513, 3621, 4760, 892, 286, 2334, 4992, 899, 1945, 5214, 15628, 1131, 798, 563, 306, 675, 569, 2576, 786, 15476, 707, 2164, 585, 1863, 267, 607, 1279, 607, 596, 1246, 3044, 3621, 10873, 563, 2005, 779, 2182, 547, 2932, 2427, 8386, 20933, 1587, 16198, 950, 707, 2229, 536, 753, 835, 540, 519, 2472, 563, 15411, 1569, 13746, 2154, 12375, 547, 15476, 269, 12813, 24382, 2290, 585, 1383, 563, 4517, 602, 779, 1732, 1317, 2507, 888, 1692, 786, 596, 13182, 602, 519, 968, 16955, 892, 8970, 3085, 1406, 2270, 968, 14875, 302, 892, 7592, 270, 19091, 286, 4024, 596, 581, 1210, 568, 8328, 6476, 547, 2061, 519, 13283, 602, 25277, 1522, 723, 585, 835, 540, 1079, 1114, 29528, 888, 2791, 1058, 6432, 547, 24910, 779, 15264, 267, 789, 3382, 891, 3877, 269, 5291, 2517, 4178, 6745, 22736, 6798, 1774, 577, 335, 617, 4751, 2593, 270, 286, 335, 284, 15876, 454, 12552, 1509, 1107, 19890, 594, 666, 1406, 1902, 519, 476, 2004, 3764, 693, 713, 942, 269, 2052, 596, 2995, 803, 519, 4267, 547, 1250, 2055, 286, 610, 5310, 2995, 803, 1141, 538, 519, 15264, 594, 1522, 1265, 873, 286, 8729, 1586, 563, 13425, 856, 10648, 302, 23024, 2939, 2593, 543, 596, 3580, 1265, 811, 3877, 827, 519, 8970, 269, 634, 6476, 568, 10648, 302, 5288, 1875, 10648, 302, 269, 26681, 729, 6738, 1210, 4481, 5214, 2409, 269, 634, 1875, 10648, 302, 8970, 568, 568, 8328, 547, 519, 10648, 302, 8970, 269, 1284, 616, 4058, 4255, 547, 13182, 16726, 543, 7592, 563, 5591, 267, 631, 548, 2742, 267, 594, 993, 711, 707, 2123, 23296, 19212, 269, 1809, 596, 723, 7899, 540, 942, 547, 6432, 1354, 519, 4316, 32195, 563, 296, 993, 19259, 539, 693, 875, 11826, 1004, 10393, 616, 269, 1656, 519, 4441, 789, 2154, 267, 799, 789, 2760, 1416, 827, 950, 2319, 5214, 568, 13629, 269, 2368, 1004, 723, 2907, 25323, 519, 1788, 1317, 631, 2177, 306, 3198, 15674, 269, 898, 779, 554, 559, 13895, 563, 12552, 1323, 770, 14901, 9462, 30904, 898, 786, 581, 1187, 547, 1294, 713, 454, 2005, 779, 1434, 547, 581, 19259, 539, 563, 292, 2416, 519, 2278, 610, 519, 5467, 814, 547, 2628, 585, 519, 8313, 3790, 269, 1403, 596, 1616, 519, 2164, 547, 581, 11884, 2139, 547, 3025, 267, 1287, 621, 1058, 581, 538, 1930, 1569, 4760, 269, 4935, 519, 4589, 723, 547, 2628, 519, 12375, 269, 594, 1589, 602, 568, 4023, 563, 8133, 543, 9811, 267, 789, 786, 581, 1210, 568, 8328, 3515, 543, 9493, 553, 789, 616, 2469, 4830, 19027, 540, 519, 570, 5937, 2793, 4527, 269, 3245, 519, 15264, 621, 4667, 602, 519, 4603, 568, 9709, 1134, 563, 2005, 1131, 581, 2864, 2352, 547, 1685, 538, 1022, 9167, 2197, 269, 634, 15864, 1259, 1131, 581, 547, 798, 1769, 4528, 540, 519, 1449, 609, 645, 339, 8970, 631, 2177, 279, 1015, 267, 799, 568, 519, 1152, 835, 4847, 849, 585, 14713, 269, 853, 17977, 16023, 1351, 985, 8677, 616, 15868, 1152, 607, 1426, 543, 3049, 267, 3976, 519, 524, 10849, 991, 547, 581, 16865, 585, 799, 596, 1131, 991, 5094, 11863, 269, 3973, 1142, 4357, 1268, 945, 6499, 547, 798, 519, 4603, 609, 29160, 1922, 3975, 814, 547, 11578, 609, 3617, 18591, 547, 581, 3769, 593, 519, 1592, 540, 10648, 302, 3755, 630, 325, 2465, 2838, 1040, 594, 1223, 1294, 835, 811, 1761, 1966, 1107, 519, 10648, 302, 25865, 814, 547, 581, 5265, 13042, 1282, 782, 7829, 543, 6283, 267, 865, 1818, 513, 5595, 9420, 4603, 1522, 581, 2352, 269, 634, 1875, 8566, 19616, 25865, 1131, 723, 547, 581, 13042, 607, 10648, 4947, 689, 5521, 18022, 4007, 324, 563, 296, 17254, 326, 1194, 693, 968, 974, 600, 5214, 6100, 594, 1616, 513, 512, 6879, 7398, 2336, 10303, 519, 2482, 17367, 602, 3085, 1406, 1616, 630, 528, 666, 1406, 264, 24049, 547, 519, 4760, 666, 1569, 519, 2164, 563, 11039, 540, 1576, 1100, 835, 693, 12713, 3228, 1881, 786, 581, 14281, 547, 5873, 713, 689, 803, 1107, 855, 1107, 1310, 1101, 1025, 2313, 630, 1492, 1187, 602, 649, 782, 723, 609, 968, 18076, 17691, 14615, 594, 1810, 1406, 2731, 899, 713, 607, 513, 968, 27023, 881, 4603, 892, 585, 3214, 269, 4208, 286, 5221, 952, 3214, 666, 1406, 3398, 513, 4116, 610, 10196, 779, 24969, 618, 602, 25277, 3548, 1022, 543, 782, 5686, 540, 8970, 267, 855, 1522, 4782, 835, 936, 1776, 585, 1022, 1297, 540, 4128, 824, 982, 4719, 4702, 1107, 1287, 649, 723, 8273, 2042, 982, 835, 4683, 10828, 563, 763, 1966, 1934, 568, 281, 649, 723, 3744, 23831, 17258, 547, 1945, 602, 779, 711, 3621, 676, 10912, 621, 606, 968, 23024, 2939, 6100, 634, 2596, 16950, 281, 25277, 5749, 1406, 519, 818, 321, 3438, 540, 3621, 1249, 269, 589, 29160, 786, 3548, 8914, 536, 7159, 269, 634, 29943, 540, 2348, 536, 7431, 535, 728, 3744, 1289, 713, 606, 968, 23024, 2939, 892, 568, 602, 1453, 786, 1451, 1945, 827, 575, 21573, 5288, 269, 1875, 3766, 21573, 269, 634, 1249, 602, 789, 4465, 1406, 1451, 4376, 4849, 602, 3744, 899, 547, 723, 1187, 609, 4683, 17691, 1932, 267, 543, 616, 8348, 547, 6108, 2724, 593, 713, 4990, 540, 3364, 1107, 568, 711, 1945, 594, 1616, 547, 1489, 563, 9989, 1100, 835, 3116, 1294, 1966, 609, 1915, 1944, 713, 607, 606, 4603, 547, 4001, 1453, 827, 2257, 888, 32612, 2831, 711, 4189, 575, 21573, 568, 606, 4683, 10828, 454, 327, 21036, 256, 594, 6557, 7996, 585, 519, 5214, 11945, 726, 2313, 11442, 256, 9462, 30904, 454, 8530, 1501, 519, 2164, 538, 513, 18019, 4760, 543, 1577, 519, 2923, 1867, 593, 621, 563, 16391, 545, 15628, 723, 1044, 5180, 569, 22309, 585, 9878, 547, 15476, 741, 943, 3415, 2164, 269, 14568, 547, 15476, 519, 2164, 540, 713, 4603, 538, 513, 18019, 4081, 4760, 543, 1287, 1577, 519, 2923, 1867, 593, 621, 563, 310, 7159, 1175, 513, 8792, 1934, 7498, 1692, 616, 519, 25277, 9277, 547, 917, 799, 25865, 568, 799, 8259, 596, 14377, 519, 4191, 883, 29160, 888, 5475, 782, 267, 1373, 5214, 782, 1630, 2812, 1524, 547, 519, 21458, 563, 2791, 1118, 513, 1434, 1448, 631, 548, 2742, 269, 1809, 621, 729, 5214, 15628, 945, 3357, 909, 609, 519, 4652, 15903, 10206, 602, 3552, 2831, 4465, 1406, 3548, 10648, 11675, 269, 1924, 621, 779, 513, 9985, 3280, 2856, 547, 3181, 6064, 602, 10206, 609, 606, 4603, 563, 2704, 553, 267, 649, 616, 1134, 7146, 2389, 745, 569, 8405, 11546, 788, 538, 519, 1158, 540, 1728, 701, 543, 18259, 538, 519, 2898, 5214, 642, 269, 10648, 302, 7521, 563, 6546, 568, 1318, 269, 1809, 968, 13449, 1569, 892, 1281, 711, 3160, 2392, 2218, 267, 1970, 2298, 4760, 543, 968, 11357, 2675, 3628, 1569, 1152, 892, 1281, 711, 3160, 1164, 2298, 18019, 4760, 269, 1703, 616, 1256, 1360, 1164, 9043, 13746, 267, 602, 666, 7363, 581, 15600, 1152, 609, 20478, 602, 1450, 3173, 547, 15476, 1930, 1569, 4930, 267, 3246, 789, 2628, 519, 13927, 269, 2368, 7616, 4703, 1256, 31274, 593, 13629, 519, 2164, 689, 14102, 1382, 998, 1930, 1569, 3609, 269, 1403, 519, 27710, 9707, 17188, 585, 519, 1382, 267, 646, 814, 519, 1318, 547, 1205, 519, 2407, 2164, 1510, 9878, 3606, 12375, 269, 4179, 2517, 21504, 17739, 8542, 8811, 10993, 13045, 3719, 15983, 596, 1294, 602, 9039, 540, 602, 786, 13469, 609, 519, 1857, 563, 3963, 798, 596, 3364, 922, 568, 711, 968, 9418, 892, 3621, 4603, 286, 594, 993, 20994, 855, 594, 21645, 1174, 1946, 25277 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 815, 302, 3799, 273, 281, 10037, 15311, 281, 1040, 4939, 14457, 268, 272, 269, 274, 2913, 259, 313, 28701, 2473, 1422, 10383, 962, 259, 2041, 519, 5119, 4611, 689, 519, 8691, 269, 634, 7127, 538, 4737, 1775, 543, 6241, 795, 568, 20922, 676, 589, 1775, 282, 329, 269, 19577, 269, 19577, 269, 1548, 568, 8641, 5295, 532, 7790, 476, 4335, 476, 4335, 476, 4335, 476, 4335, 476, 4335, 476, 4335, 476, 4335, 476, 4335, 476, 4335, 476, 4335, 476, 30116, 476, 30116, 476, 276, 5038, 476, 276, 5038, 476, 276, 5038, 476, 29900, 1403, 519, 29491, 1587, 540, 1079, 562, 6398, 562, 14290, 568, 1939, 762, 538, 744, 3799, 645, 264, 10026, 4238, 630, 324, 3052, 269, 1280, 1383, 267, 2015, 2630, 3113, 3690, 1438, 19479, 540, 1657, 11708, 568, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 271, 476, 271, 476, 271, 476, 272, 1284, 723, 5941, 513, 744, 263, 309, 476, 274, 264, 3070, 585, 713, 1934, 269, 476, 18357, 476, 4335, 476, 4649, 277, 476, 29900, 476, 4649, 277, 476, 29900, 476, 18357, 476, 4335, 476, 4649, 277, 476, 30116, 476, 18357, 476, 4649, 277, 476, 30116, 476, 279, 3451, 476, 4649, 277, 476, 4335, 1315, 6944, 757, 476, 1724, 476, 271, 681, 634, 3914, 268, 1464, 5119, 568, 1572, 1098, 1438, 19479, 540, 513, 3113, 269, 476, 1556, 476, 271, 1073, 329, 476, 4335, 476, 4335, 476, 18357, 476, 4343, 280, 476, 30116, 476, 4335, 476, 4335, 476, 278, 2420, 476, 4335, 476, 4335, 476, 29900, 476, 21878, 476, 1220, 476, 21878, 476, 276, 6078, 476, 278, 4281, 634, 30424, 1063, 1098, 1438, 19479, 543, 5786, 267, 607, 1134, 607, 519, 5786, 5690, 267, 729, 3964, 538, 1547, 8921, 3992, 269, 4469, 20477, 654, 6702, 718, 23990, 568, 1031, 547, 1265, 519, 20125, 9883, 1063, 1169, 6292, 540, 14622, 538, 513, 2016, 22051, 6316, 8641, 269, 5565, 12496, 540, 29943, 538, 28547, 7954, 286, 634, 3914, 268, 1464, 5119, 568, 1572, 1098, 1438, 19479, 540, 513, 3113, 269, 24177, 476, 4649, 277, 476, 278, 2420, 476, 5780, 278, 476, 4649, 277, 476, 277, 1556, 476, 278, 2420, 476, 278, 2420, 476, 280, 4510, 476, 278, 2420, 476, 278, 2420, 476, 277, 1556, 476, 18357, 476, 30116, 476, 18357, 476, 5379, 280, 476, 4335, 1772, 713, 25162, 6190, 547, 2015, 1250, 5690, 607, 606, 3608, 5119, 8691, 5690, 286, 1635, 1210, 938, 3135, 267, 596, 11760, 602, 596, 723, 1224, 543, 1174, 938, 13648, 773, 8889, 267, 21041, 8889, 267, 543, 938, 16301, 540, 6796, 269, 681, 568, 2016, 676, 14290, 681, 543, 590, 2630, 269, 4939, 901, 1599, 15824, 3690, 1438, 1849, 3837, 593, 519, 3403, 2619, 5119, 1412, 332, 3299, 4939, 799, 568, 513, 9859, 1035, 5670, 545, 3113, 630, 6395, 294, 1070, 4939, 1210, 2241, 5119, 8691, 1505, 269, 4569, 297, 1314, 4704, 269, 634, 1249, 602, 519, 3113, 568, 9859, 5108, 9635, 610, 835, 7372, 835, 3483, 1281, 476, 15234, 1862, 1422, 17484, 16766, 259, 1107, 4498, 12245, 12390, 3832, 14114, 3149, 523, 8734, 476, 275, 1412, 1321, 693, 476, 1691, 281, 4375, 2913, 513, 815, 2715, 476, 272, 267, 476, 273, 267, 476, 274, 476, 275, 269, 4427, 18285, 547, 713, 681, 7704, 3049, 267, 5299, 543, 13594, 713, 15745, 883, 681, 7704, 256, 5272, 6292, 540, 14622, 538, 513, 5119, 568, 1572, 606, 7127, 630, 562, 3738, 907, 1280, 14921, 1079, 1098, 1438, 19479, 1210, 5119, 8691, 6398, 562, 14290, 568, 1939, 762, 538, 744, 630, 562, 1299, 1948, 1535, 6734, 289, 272, 6902, 286, 3738, 256, 667, 271, 568, 519, 7755, 659, 1890, 5119, 540, 717, 2608, 3914, 268, 1464, 5119, 568, 1572, 1098, 1438, 19479, 540, 29491, 256, 623, 19991, 540, 14589, 689, 513, 16003, 8258, 8593, 883, 519, 8963, 267, 875, 798, 2232, 256, 681, 1087, 3049, 267, 5299, 543, 13594, 713, 15745, 883, 2659, 681, 7704, 5467, 568, 1939, 762, 538, 744, 630, 562, 3738, 30285, 5403, 513, 2560, 19790, 540, 4466, 519, 1098, 1438, 19479, 1210, 645, 12613, 1269, 312, 259, 540, 9635, 1862, 769, 9859, 11708, 568, 513, 595, 10030, 1982, 547, 2936, 713, 5690, 667, 330, 268, 272, 538, 519, 1483, 286, 1862, 6034, 539, 11708, 568, 513, 595, 10030, 1982, 547, 2936, 713, 5690, 538, 1931, 547, 1685, 29491, 1862, 476, 272, 568, 519, 7755, 659, 1890, 5119, 540, 717, 267, 1287, 630, 513, 594, 3738, 562, 568, 1862, 3962, 737, 628, 1900, 267, 649, 12337, 667, 330, 1210, 519, 9457, 14497, 267, 713, 31758, 547, 307, 630, 562, 2845, 19577, 269, 3962, 737, 628, 1900, 267, 649, 12337, 667, 330, 1210, 519, 1239, 689, 667, 330, 268, 272, 538, 519, 2063, 649, 256, 2311, 1034, 744, 630, 562, 2845, 562, 2695, 2130, 4238, 538, 744, 630, 562, 3738, 942, 2473, 1269, 5889, 19050, 382, 485, 663, 5889, 19050, 382, 485, 259, 1269, 256, 14348, 594, 28761, 3713, 519, 2179, 540, 20433, 267, 1519, 3728, 20433, 1098, 1438, 19479, 540, 513, 5119, 256, 8298, 2165, 547, 1098, 1438, 19479, 1210, 5119, 8691, 30424, 476, 272, 950, 661, 29996, 568, 11402, 267, 1287, 630, 513, 594, 562, 269, 744, 630, 562, 2845, 562, 2695, 2130, 4238, 538, 744, 630, 562, 303, 946, 519, 1249, 602, 3113, 256, 9457, 14497, 267, 713, 31758, 547, 307, 630, 562, 1299, 1948, 1535, 6734, 289, 272, 6902, 286, 4946, 476, 274, 17447, 547, 519, 1966, 4466, 1421, 661, 3738, 581, 513, 9859, 3113, 7493, 1098, 1438, 19479, 1210, 5119, 8691, 7384, 1098, 1438, 19479, 5690, 1634, 267, 547, 1862, 1284, 777, 517, 6285, 540, 513, 3113, 814, 1044, 3254, 602, 713, 1505, 3340, 267, 1034, 269, 20539, 1182, 538, 513, 2016, 3113, 717, 269, 649, 666, 849, 581, 17223, 676, 2845, 562, 2695, 2130, 538, 1862, 634, 5690, 607, 7768, 540, 562, 3268, 1063, 5119, 8691, 543, 1098, 1438, 19479, 6799, 1360, 1862, 4982, 2526, 775, 1063, 5119, 8691, 1505, 540, 5899, 817, 523, 540, 259, 717, 1269, 529, 1031, 547, 1265, 519, 9883, 256, 589, 2016, 22051, 6316, 3113, 562, 2695, 2130, 4238, 538, 744, 630, 562, 3738, 942, 1098, 1438, 19479, 1210, 5119, 8691, 256, 3465, 757, 513, 1360, 1114, 1305, 540, 2591, 689, 1346, 1459, 538, 10053, 5276, 7223, 971, 256, 589, 941, 342, 6504, 19479, 729, 8810, 676, 674, 29531, 543, 2725, 9807, 267, 609, 1434, 1163, 657, 1431, 1519, 7127, 256, 2334, 9247, 519, 1966, 540, 4466, 519, 1098, 1438, 19479, 540, 259, 717, 1269, 26918, 645, 12613, 269, 1684, 562, 1405, 917, 713, 1249, 267, 621, 568, 513, 2619, 689, 14584, 594, 547, 795, 29571, 269, 22159, 5690, 267, 729, 3964, 538, 1390, 4267, 3635, 547, 1397, 30424, 19479, 543, 5786, 267, 607, 607, 256, 13648, 773, 3609, 713, 1797, 602, 9247, 519, 1966, 540, 7384, 519, 1098, 1438, 19479, 513, 1862, 645, 3738, 10026, 4238, 630, 552, 3052, 547, 957, 607, 623, 2975, 538, 519, 6073, 3254, 7612, 256, 2142, 17223, 676, 2845, 562, 2695, 2130, 4238, 538, 744, 630, 562, 303, 3254, 538, 7612, 476, 272, 1496, 476, 277, 907, 1422, 17484, 16766, 259, 1107, 4498, 12245, 12390, 3832, 14114, 3149, 523, 8734, 476, 275, 1412, 1321, 693, 476, 1691, 281, 4375, 2913, 513, 815, 476, 272, 269, 2672, 2310, 547, 2015, 1250, 5690, 607, 7768, 540, 562, 3268, 4238, 593, 14290, 616, 547, 269, 3776, 4388, 593, 1603, 1390, 4267, 6241, 795, 568, 20922, 676, 513, 594, 6902, 795, 540, 1862, 1677, 2780, 3163, 29571, 16510, 568, 513, 2462, 22920, 24049, 547, 713, 681, 7704, 3049, 267, 5299, 13594, 1862, 25226, 4238, 593, 14290, 616, 4294, 547, 519, 1966, 540, 4466, 519, 1098, 1438, 19479, 1210, 5119, 8691, 540, 1079, 1269, 1862, 589, 594, 3738, 562, 476, 272, 568, 519, 2168, 1198, 540, 521, 14823, 3819, 585, 269, 1772, 3160, 547, 519, 1297, 540, 9343, 568, 3160, 547, 519, 1966, 540, 519, 269, 23990, 1634, 568, 1759, 593, 519, 5119, 630, 513, 594, 6902, 795, 1883, 883, 9232, 1945, 547, 6494, 513, 540, 1862, 8298, 334, 9736, 476, 1708, 271, 29571, 16510, 5549, 6902, 3593, 7418, 13931, 896, 524, 322, 676, 1606, 320, 3693, 513, 269, 634, 30424, 1063, 1098, 1438, 19479, 5690, 1634, 267, 1813, 547, 16189, 549, 267, 568, 1759, 593, 6902, 256, 1422, 17484, 16766, 259, 1107, 4498, 12245, 12390, 3832, 14114, 3149, 523, 8734, 476, 275, 1412, 1321, 693, 476, 1691, 281, 4375, 2913, 513, 2715, 256, 28171, 18159, 2608, 3738, 259, 607, 606, 3635, 630, 552, 3052, 281, 585, 9875, 256, 2473, 1422, 10383, 962, 1269, 2041, 519, 5119, 4611, 689, 519, 8691, 7127, 1141, 519, 3312, 717, 23511, 2986, 20433, 267, 1519, 3728, 20433, 811, 3608, 547, 6494, 513, 18239, 540, 5108, 9635, 610, 7372, 269, 28688, 932, 760, 13648, 773, 623, 978, 267, 15240, 3482, 1280, 623, 9874, 29158, 962, 7568, 267, 28234, 6732, 16790, 590, 749, 27294, 267, 918, 28240, 476, 3199, 341, 932, 1622, 1177, 1234, 10293, 20668, 267, 9537, 2986, 4469, 760, 15873, 267, 9537, 2986, 10965, 6260, 570, 4669, 956, 267, 9523, 4812, 5071, 518, 4518, 6503, 338, 267, 5440, 14986, 674, 23459, 6500, 267, 834, 29451, 1098, 1438, 19479, 1210, 5119, 8691, 2913, 721, 2161, 594, 993, 2016, 606, 5690, 602, 21410, 519, 1098, 1438, 19479, 540, 513, 2016, 3113, 259, 294, 815, 1422, 346, 966, 267, 661, 1422, 23201, 4208, 1281, 519, 674, 8150, 2154, 2027, 28431, 547, 957, 607, 623, 2975, 538, 519, 3345, 1977, 570, 268, 2764, 18858, 13568, 286, 1315, 17138, 630, 291, 17805, 10736, 609, 8940, 21993, 944, 342, 790, 2593, 7751, 313, 3709, 6359, 348, 815, 476, 272, 259, 604, 543, 1152, 952, 7445, 15927, 557, 324, 315, 3916, 1080, 3709, 330, 284, 272, 11892, 333, 311, 3709, 1731, 4153, 1633, 962, 3709, 330, 329, 4151, 604, 543, 1152, 952, 972, 568, 513, 259, 330, 22174, 1496, 333, 316, 259, 7945, 602, 259, 311, 3709, 1731, 348, 815, 476, 272, 259, 663, 259, 312, 3709, 330, 329, 348, 815, 476, 272, 259, 6518, 568, 519, 2013, 952, 543, 1152, 952, 972, 568, 513, 259, 330, 22174, 1496, 333, 316, 259, 7945, 602, 259, 263, 340, 10983, 267, 642, 17624, 264, 1422, 514, 661, 259, 663, 259, 263, 341, 17624, 267, 530, 19553, 264, 1422, 514, 661, 259, 6518, 568, 519, 2013, 952, 543, 1152, 952, 259, 3867, 28949, 264, 4151, 11004, 568, 513, 2619, 538, 259, 294, 259, 5228, 259, 340, 10983, 259, 1729, 259, 342, 19553, 259, 663, 8754, 259, 263, 340, 10983, 267, 530, 19553, 264, 1422, 514, 661, 262, 10608, 634, 1655, 1098, 1438, 19479, 5690, 1634, 267, 1813, 547, 16189, 549, 267, 568, 1759, 593, 519, 5119, 8691, 1505, 540, 5899, 817, 523, 269, 9948, 634, 5119, 667, 271, 568, 519, 3312, 3113, 717, 269, 1284, 666, 1589, 540, 519, 5690, 607, 7768, 540, 715, 3268, 269, 2913, 589, 2041, 519, 7755, 659, 1890, 5119, 540, 930, 3113, 717, 269, 3973, 630, 288, 266, 296, 264, 333, 568, 519, 1098, 1438, 19479, 540, 717, 269, 4595, 649, 723, 513, 570, 3799, 264, 5690, 585, 645, 12613, 267, 649, 666, 12337, 630, 288, 266, 594, 264, 333, 1210, 2845, 985, 15471, 633, 2695, 541, 902, 540, 589, 266, 594, 514, 744, 24867, 3799, 264, 331, 1758, 264, 942, 269, 1284, 1397, 602, 1010, 1505, 3340, 693, 1034, 744, 3799, 10382, 7790, 286, 1315, 293, 1428, 476, 278, 476, 271, 681, 3135, 1374, 1315, 20446, 9736, 476, 1708, 271, 29571, 16510, 5549, 282, 3593, 7418, 13931, 896, 524, 322, 676, 1606, 320, 269, 1315, 24478, 528, 630, 4178, 21993, 944, 342, 790, 2593, 264, 6697, 547, 29491, 5119, 8691, 630, 289, 12613, 1040, 476, 4649, 277, 476, 4649, 277, 476, 29900, 476, 4343, 280, 476, 18357, 476, 4649, 277, 476, 4335, 476, 278, 2420, 476, 4335, 476, 4335, 476, 29900, 476, 4375, 275, 476, 13136, 476, 4375, 275, 476, 26392, 476, 278, 4281, 4208, 286, 2506, 2869, 673, 2090, 540, 1098, 1438, 19479, 2560, 901, 3914, 268, 1464, 5119, 568, 1572, 1098, 1438, 19479, 540, 513, 3113, 269, 1548, 1281, 621, 1611, 547, 968, 4486, 883, 892, 1945, 286, 23990, 10670, 476, 272, 11053, 820, 5021, 1297, 540, 9136, 607, 3403, 269, 1315, 290, 516, 566, 14630, 630, 291, 281, 1220, 3445, 279, 25172, 3199, 278, 1724, 266, 6349, 262, 876, 10807, 23037, 676, 281, 5440, 966, 6838, 269, 901 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 275, 348, 303, 3867, 273, 10592, 5976, 7862, 950, 835, 814, 606, 568, 30801, 1318, 6906, 780, 30607, 19577, 780, 22428, 513, 6906, 814, 7953, 540, 3259, 1269, 343, 259, 543, 1269, 344, 10608, 3973, 922, 30494, 814, 3259, 4399, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 8961, 865, 519, 15943, 568, 2016, 607, 692, 1269, 303, 24210, 20742, 10954, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 269, 6911, 763, 1858, 267, 540, 1576, 267, 568, 692, 1269, 288, 7807, 2765, 346, 272, 2410, 273, 348, 15383, 269, 6911, 2171, 1616, 547, 11694, 1269, 288, 259, 1641, 547, 519, 23061, 602, 1269, 303, 259, 581, 3586, 269, 901, 1797, 602, 519, 13506, 540, 1269, 288, 259, 786, 581, 14354, 547, 519, 13506, 540, 1269, 303, 10608, 2334, 568, 547, 2161, 267, 585, 930, 3586, 4399, 14433, 8961, 649, 786, 723, 692, 4399, 6234, 21702, 3189, 14783, 589, 7346, 14783, 1535, 4151, 4399, 6234, 284, 259, 4399, 6234, 315, 14433, 21702, 3189, 14783, 623, 7346, 14783, 1535, 4151, 4399, 6234, 21702, 3189, 14783, 589, 7346, 14783, 586, 4151, 4399, 6234, 284, 259, 4399, 6234, 315, 14433, 21702, 3189, 14783, 623, 7346, 14783, 586, 10592, 29310, 609, 519, 23061, 267, 891, 1106, 513, 1062, 540, 1614, 4834, 585, 519, 1614, 9424, 1269, 343, 8961, 1269, 344, 8961, 543, 4399, 14433, 10608, 5675, 873, 856, 12799, 10484, 4399, 6234, 21702, 346, 272, 2410, 273, 348, 344, 259, 4399, 6234, 284, 259, 4399, 6234, 315, 14433, 13375, 263, 272, 10954, 2765, 12757, 7346, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 4153, 2431, 7751, 4399, 6234, 21702, 346, 272, 2410, 273, 26507, 259, 4399, 6234, 284, 259, 4399, 6234, 315, 14433, 13375, 263, 272, 10954, 2765, 26635, 7346, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 4153, 2431, 7751, 4399, 6234, 623, 259, 4399, 6234, 284, 259, 4399, 6234, 1535, 20742, 10954, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 32556, 8253, 602, 649, 3112, 723, 4399, 14433, 284, 271, 259, 1317, 602, 1131, 1611, 602, 782, 5011, 540, 938, 6906, 1131, 723, 4642, 3259, 269, 9747, 267, 649, 949, 9004, 4399, 14433, 259, 1063, 519, 1101, 1079, 4834, 547, 3489, 692, 1269, 343, 13375, 263, 272, 10954, 2765, 12757, 7346, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 4153, 2431, 6661, 344, 13375, 263, 272, 10954, 2765, 26635, 7346, 6912, 12757, 3867, 273, 15396, 344, 3867, 260, 476, 273, 3686, 4153, 2431, 1070, 6911, 6518, 949, 581, 26203, 547, 6556, 692, 18159, 343, 3917, 9385, 3847, 263, 272, 10954, 2765, 12757, 20742, 7346, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 4153, 2431, 6661, 271, 269, 6911, 2171, 723, 1079, 2013, 547, 2015, 2443, 2901, 519, 1101, 3815, 610, 519, 2034, 3815, 949, 3160, 4642, 269, 1403, 519, 2034, 3815, 11224, 4642, 10484, 1269, 272, 10954, 2765, 12757, 20742, 7346, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 13157, 271, 267, 6911, 332, 913, 519, 968, 272, 892, 547, 519, 824, 2427, 540, 519, 3830, 543, 3444, 2173, 738, 17586, 547, 3489, 692, 1269, 343, 20742, 284, 10559, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 269, 6911, 7712, 649, 1616, 1269, 343, 315, 28254, 476, 271, 259, 543, 1269, 344, 315, 28254, 476, 271, 259, 855, 519, 1318, 11804, 2427, 568, 1875, 25698, 267, 519, 1152, 4781, 1131, 581, 547, 723, 513, 2468, 534, 14410, 540, 4642, 1858, 269, 634, 824, 7872, 729, 547, 723, 519, 2034, 3815, 3160, 4642, 267, 799, 1131, 2285, 692, 1269, 343, 3917, 284, 271, 269, 6911, 1103, 713, 2013, 267, 1269, 343, 259, 11224, 1269, 344, 10608, 1955, 19397, 713, 2783, 593, 519, 23061, 267, 649, 1294, 602, 692, 1269, 303, 14352, 273, 10954, 6912, 346, 273, 16585, 343, 267, 6911, 810, 649, 723, 519, 3070, 692, 4399, 6234, 1535, 259, 4399, 6234, 284, 259, 4399, 6234, 21702, 346, 303, 2410, 273, 10954, 6912, 346, 273, 3686, 7807, 2765, 346, 273, 10559, 6912, 346, 273, 12453, 273, 348, 303, 259, 4399, 6234, 586, 259, 4399, 6234, 284, 259, 4399, 6234, 21702, 346, 303, 2410, 273, 10954, 6912, 346, 273, 3686, 7807, 2765, 346, 273, 10559, 6912, 346, 273, 12453, 273, 348, 303, 269, 6911, 17138, 3808, 593, 1858, 540, 1318, 6906, 21940, 4002, 22704, 8170, 14738, 31590, 4120, 476, 1001, 274, 268, 6734, 268, 2420, 476, 1626, 281, 1789, 281, 6078, 476, 1001, 274, 268, 6734, 268, 2420, 476, 1626, 281, 1789, 281, 6078, 678, 4944, 15120, 1470, 630, 2568, 278, 276, 264, 678, 4944, 15120, 1470, 630, 2568, 278, 276, 264, 476, 1704, 678, 4944, 15120, 1470, 630, 2568, 278, 276, 264, 14497, 544, 2675, 476, 7906, 268, 876 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8340, 3799, 994, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 26509, 542, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 9769, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 269, 8588, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 4448, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 2132, 9769, 22710, 267, 4448, 22710, 692, 3698, 2656, 318, 684, 542, 15305, 3799, 2187, 825, 1449, 815, 16797, 4462, 542, 3799, 994, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 26509, 542, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 9769, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 269, 8588, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 4448, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 2132, 9769, 22710, 267, 4448, 22710, 692, 3698, 22051, 318, 638, 1157, 318, 684, 542, 15305, 3799, 2187, 825, 1449, 815, 13379, 539, 30022, 4462, 542, 3799, 994, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 26509, 542, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 9769, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 269, 8588, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 4448, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 2132, 9769, 22710, 267, 4448, 22710, 692, 3698, 22051, 318, 638, 1157, 318, 684, 542, 318, 5976, 24786, 318, 4818, 1833, 15305, 3799, 2187, 825, 1449, 815, 13379, 539, 30022, 4462, 542, 4415, 26073, 15253, 1833, 3799, 994, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 26509, 542, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 9769, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 269, 8588, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 4448, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 2132, 9769, 22710, 267, 4448, 22710, 7531, 3698, 1205, 318, 5632, 322, 22710, 6600, 15635, 267, 942, 318, 3916, 527, 2187, 825, 1267, 272, 815, 11713, 825, 1267, 273, 815, 11713, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 1775, 815, 476, 1911, 454, 825, 1247, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 2999, 942, 318, 3916, 527, 912, 1038, 1775, 815, 1775, 266, 272, 454, 1038, 630, 684, 542, 22710, 267, 4448, 22710, 264, 815, 30775, 9217, 994, 1038, 1267, 272, 6910, 263, 684, 542, 22710, 994, 1038, 1267, 273, 6910, 263, 8588, 22710, 994, 825, 2132, 1267, 272, 267, 1267, 273, 692, 3698, 2196, 318, 663, 318, 7120, 10031, 825, 5727, 305, 684, 1299, 4729, 12163, 825, 630, 7120, 272, 267, 4729, 273, 264, 815, 1205, 318, 5632, 322, 22710, 263, 638, 1157, 6958, 785, 15305, 267, 476, 5611, 994, 825, 630, 7120, 274, 267, 4729, 275, 264, 815, 1205, 318, 5632, 322, 22710, 263, 638, 1157, 318, 684, 542, 15305, 267, 476, 5611, 994, 825, 630, 7120, 276, 267, 4729, 277, 264, 815, 1205, 318, 5632, 322, 22710, 263, 7076, 539, 318, 638, 1157, 318, 684, 542, 15305, 267, 476, 5611, 994, 825, 630, 7120, 278, 267, 4729, 279, 264, 815, 1205, 318, 5632, 322, 22710, 263, 7076, 539, 318, 638, 1157, 318, 684, 542, 318, 5976, 24786, 318, 4818, 1833, 15305, 267, 476, 5611, 994, 8931, 825, 12301, 19502, 263, 7120, 272, 267, 6003, 6889, 30022, 4855, 5742, 5384, 5602, 825, 12301, 19502, 263, 7120, 273, 267, 6003, 6889, 30022, 4855, 4045, 539, 5384, 5602, 825, 12301, 19502, 263, 7120, 274, 267, 6003, 6889, 30022, 5742, 5742, 5384, 5602, 825, 12301, 19502, 263, 7120, 275, 267, 6003, 6889, 30022, 5742, 4045, 539, 5384, 5602, 825, 12301, 19502, 263, 7120, 276, 267, 6003, 6889, 26574, 539, 16797, 5742, 5742, 5384, 5602, 825, 12301, 19502, 263, 7120, 277, 267, 6003, 6889, 26574, 539, 16797, 5742, 4045, 539, 5384, 5602, 825, 12301, 19502, 263, 7120, 278, 267, 6003, 6889, 26574, 539, 16797, 5742, 11202, 3281, 1833, 5742, 5384, 5602, 825, 12301, 19502, 263, 7120, 279, 267, 6003, 6889, 26574, 539, 16797, 5742, 11202, 3281, 1833, 4045, 539, 5384, 15419, 825, 12301, 6745, 697, 9078, 599, 719, 4590, 825, 12301, 269, 5586, 754, 4590, 825, 12301, 20481, 10797, 3698, 1449, 318, 2745, 10031, 825, 1820, 3488, 30022, 8340, 5073, 825, 1449, 272, 815, 16797, 8340, 263, 1015, 994, 825, 1449, 272, 26509, 542, 263, 274, 267, 476, 275, 994, 825, 1449, 272, 26509, 542, 263, 274, 267, 476, 279, 994, 825, 1449, 272, 26509, 542, 263, 274, 267, 476, 271, 994, 825, 1820, 6025, 652, 272, 269, 8588, 263, 273, 267, 476, 274, 4917, 825, 1820, 6025, 652, 272, 269, 8588, 263, 275, 267, 476, 274, 4917, 825, 1820, 6025, 652, 272, 269, 1551, 2020, 825, 1820, 3488, 30022, 4462, 542, 5073, 825, 1449, 273, 815, 16797, 4462, 542, 263, 1015, 994, 825, 1449, 273, 26509, 542, 263, 274, 267, 476, 275, 994, 825, 1449, 273, 26509, 542, 263, 274, 267, 476, 279, 994, 825, 1449, 273, 26509, 542, 263, 274, 267, 476, 271, 994, 825, 1820, 6025, 652, 273, 269, 8588, 263, 273, 267, 476, 274, 4917, 825, 1820, 6025, 652, 273, 269, 8588, 263, 275, 267, 476, 274, 4917, 825, 1820, 6025, 652, 273, 269, 1551, 2020, 825, 1820, 3488, 26574, 539, 30022, 4462, 542, 5073, 825, 1449, 274, 815, 13379, 539, 30022, 4462, 542, 263, 1015, 994, 825, 1449, 274, 26509, 542, 263, 274, 267, 476, 275, 994, 825, 1449, 274, 26509, 542, 263, 274, 267, 476, 279, 994, 825, 1449, 274, 26509, 542, 263, 274, 267, 476, 271, 994, 825, 1820, 6025, 652, 274, 269, 8588, 263, 273, 267, 476, 274, 4917, 825, 1820, 6025, 652, 274, 269, 8588, 263, 275, 267, 476, 274, 4917, 825, 1820, 6025, 652, 274, 269, 1551, 994, 825, 1820, 6025, 652, 274, 269, 1551, 318, 933, 580, 2195, 2020, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 952, 7003, 4433, 903, 27769, 341, 264, 3436, 476, 272, 912, 1038, 1820, 3488, 301, 2100, 26571, 17210, 825, 2196, 318, 663, 318, 7120, 4590, 672, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 323, 815, 2715, 257, 273, 9899, 257, 29582, 14824, 274, 9899, 257, 3698, 14824, 275, 9899, 257, 724, 328, 14824, 276, 9899, 257, 329, 9383, 14824, 277, 9899, 257, 332, 7224, 14824, 278, 9899, 257, 335, 336, 3464, 14824, 279, 9899, 257, 339, 12320, 14824, 280, 9899, 257, 342, 15383, 345, 257, 10926, 3698, 4484, 23382, 5209, 5560, 580, 1080, 2567, 1363, 3097, 825, 759, 815, 1496, 3269, 2639, 825, 585, 1775, 538, 9704, 912, 1038, 952, 1775, 538, 546, 912, 2018, 952, 1775, 538, 546, 912, 3546, 512, 815, 11713, 3546, 585, 524, 538, 546, 5157, 14158, 7386, 585, 521, 538, 759, 281, 4449, 454, 13376, 512, 6834, 1496, 338, 1341, 1193, 6262, 22708, 3546, 759, 815, 512, 454, 825, 2132, 759, 952, 9704, 3116, 29129, 8931, 2018, 692, 2745, 263, 12072, 23382, 5209, 2891, 273, 8442, 2020, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 18851, 289, 2435, 3406, 12163, 1029, 10461, 1029, 815, 834, 31718, 590, 4840, 1029, 322, 9728, 1029, 815, 834, 290, 641, 1803, 1111, 5016, 5814, 19523, 7531, 5035, 23030, 15507, 1384, 825, 1219, 9612, 4311, 267, 2855, 267, 1883, 2187, 1038, 3138, 815, 476, 271, 454, 1038, 28624, 815, 7003, 19906, 994, 1038, 1247, 3138, 10922, 28624, 912, 2018, 4571, 815, 3138, 1341, 703, 9230, 6062, 910, 5979, 8358, 273, 994, 2018, 952, 1883, 2999, 2855, 314, 13232, 14158, 3546, 28624, 815, 4571, 910, 476, 272, 454, 2018, 8640, 1883, 3436, 2855, 314, 13232, 14158, 3546, 3138, 815, 4571, 1341, 476, 272, 454, 2018, 3116, 912, 3546, 2132, 4571, 454, 1038, 2132, 910, 272, 692, 5035, 8422, 11764, 16360, 2435, 15507, 2187, 825, 1219, 9612, 16248, 301, 4548, 4311, 267, 2855, 267, 1883, 2187, 1038, 759, 815, 11713, 1038, 585, 1775, 538, 2039, 263, 271, 267, 7003, 19906, 15892, 2018, 585, 795, 538, 2039, 9217, 267, 7003, 19906, 15892, 3546, 967, 815, 1582, 2529, 2514, 19906, 267, 1883, 910, 476, 272, 2608, 630, 1551, 5157, 316, 1341, 2855, 14728, 28413, 3546, 952, 967, 3436, 910, 272, 912, 7386, 759, 6910, 8443, 1551, 5157, 3910, 2855, 14728, 3910, 2855, 314, 785, 316, 7481, 1038, 2132, 759, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 952, 7003, 4433, 903, 27769, 341, 264, 3436, 476, 272, 912, 1038, 1820, 3488, 301, 2100, 26571, 17210, 825, 512, 272, 815, 23030, 15507, 10797, 825, 2855, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 6434, 267, 476, 1911, 267, 476, 6200, 267, 476, 10755, 267, 476, 15836, 267, 476, 1708, 267, 476, 31746, 267, 476, 22001, 274, 267, 476, 4335, 271, 267, 476, 10384, 273, 2639, 825, 4994, 815, 512, 272, 2529, 2514, 19906, 267, 476, 31746, 2020, 825, 1820, 263, 8161, 994, 825, 1820, 19906, 27709, 20285, 825, 512, 273, 815, 8422, 11764, 10797, 825, 15358, 815, 512, 273, 2529, 2514, 16248, 301, 4548, 19906, 267, 476, 2004, 279, 2020, 825, 1820, 25225, 2020, 0, 5228, 19523, 1104, 588, 19734, 692, 341, 578, 601, 23952, 815, 834, 2801, 328, 537, 2801, 328, 537, 2801, 328, 537, 2801, 328, 537, 2801, 328, 537, 4840, 4621, 517, 656, 23952, 815, 834, 25900, 4206, 724, 329, 9383, 332, 12639, 336, 337, 560, 341, 342, 15383, 345, 25900, 4206, 724, 329, 9383, 332, 12639, 336, 337, 560, 341, 342, 15383, 345, 5016, 454, 3698, 17278, 9272, 2187, 16596, 3403, 7531, 258, 22873, 658, 851, 585, 3478, 519, 3044, 3403, 454, 3698, 1205, 17750, 263, 1467, 284, 560, 19734, 2187, 453, 6783, 815, 11713, 14851, 1899, 11203, 588, 19734, 912, 453, 453, 1467, 815, 1899, 21858, 19629, 333, 5602, 22610, 561, 538, 1899, 912, 453, 453, 6783, 6910, 10857, 994, 16596, 5044, 19638, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 6358, 815, 1205, 17750, 2891, 273, 14826, 9346, 1314, 315, 3534, 12711, 5602, 13537, 9272, 994, 0, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 1985, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 12785, 815, 1985, 692, 5035, 8827, 912, 825, 1219, 19467, 10521, 299, 1235, 4311, 267, 561, 272, 281, 5903, 11966, 267, 561, 273, 281, 5903, 11966, 264, 9847, 5903, 11966, 912, 1038, 561, 274, 815, 5903, 11966, 4590, 1038, 561, 275, 815, 561, 274, 22322, 1038, 1948, 952, 561, 272, 543, 561, 273, 2291, 454, 1038, 1247, 561, 272, 543, 561, 273, 912, 2018, 952, 561, 272, 22183, 10922, 561, 273, 22183, 912, 3546, 561, 274, 22183, 815, 561, 272, 22183, 454, 3546, 561, 274, 12785, 815, 5903, 11966, 4590, 3546, 561, 274, 815, 561, 274, 12785, 454, 3546, 561, 272, 815, 561, 272, 12785, 454, 2018, 3116, 912, 3546, 561, 274, 22183, 815, 561, 273, 22183, 454, 3546, 561, 274, 12785, 815, 5903, 11966, 4590, 3546, 561, 274, 815, 561, 274, 12785, 454, 3546, 561, 273, 815, 561, 273, 12785, 454, 1038, 1948, 952, 1152, 561, 272, 2291, 454, 1038, 952, 561, 272, 912, 2018, 1247, 561, 272, 912, 3546, 561, 274, 22183, 815, 561, 272, 22183, 454, 3546, 561 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3111, 31383, 8244, 267, 972, 568, 513, 991, 585, 2789, 1949, 547, 581, 2111, 547, 1569, 519, 1482, 1305, 540, 3060, 12415, 693, 519, 1482, 942, 563, 2414, 2626, 713, 3747, 267, 570, 4338, 9755, 2919, 513, 1007, 1899, 540, 570, 4338, 338, 267, 1634, 607, 20344, 570, 4338, 338, 267, 799, 1683, 15287, 547, 519, 1482, 3060, 10126, 585, 2789, 1949, 8195, 563, 8802, 523, 3130, 570, 4338, 338, 7001, 6808, 689, 513, 2582, 3060, 10126, 267, 26134, 519, 19670, 21168, 267, 543, 3560, 873, 547, 2789, 3977, 16788, 269, 901, 2636, 519, 8668, 23070, 547, 7001, 6808, 689, 835, 10126, 540, 519, 3060, 543, 6494, 621, 547, 2789, 2645, 693, 519, 1482, 942, 563, 2690, 1804, 16904, 2348, 2789, 6887, 585, 1114, 8668, 3252, 267, 513, 20344, 570, 4338, 568, 513, 4745, 10421, 1317, 789, 666, 782, 2048, 5408, 685, 519, 1482, 1239, 693, 519, 1482, 942, 269, 1358, 666, 8195, 6895, 6808, 593, 1271, 6402, 609, 2789, 3354, 543, 6808, 2359, 2645, 543, 666, 849, 30136, 519, 1239, 538, 1483, 6066, 563, 5415, 827, 634, 7756, 9537, 540, 8416, 570, 4338, 338, 1934, 563, 15650, 540, 9012, 538, 570, 4338, 338, 454, 30509, 689, 519, 15285, 538, 570, 4338, 338, 2687, 547, 741, 4835, 1374, 267, 570, 4338, 338, 666, 849, 581, 11008, 2213, 2687, 547, 519, 2010, 540, 2923, 789, 666, 581, 8704, 593, 547, 269, 1452, 1079, 2010, 540, 2923, 616, 7601, 543, 9804, 6775, 563, 293, 9200, 19945, 6776, 2861, 570, 4338, 338, 946, 9804, 8237, 1562, 547, 8237, 519, 19670, 8955, 1769, 883, 1079, 26134, 12535, 267, 609, 835, 540, 873, 5497, 585, 519, 5464, 2823, 269, 27438, 23726, 570, 4338, 338, 616, 5631, 12809, 538, 2470, 267, 799, 1797, 789, 798, 711, 2154, 1022, 5907, 5547, 787, 543, 798, 711, 4096, 593, 1022, 1379, 2707, 610, 11251, 3301, 563, 290, 32111, 2861, 570, 4338, 338, 2705, 798, 2154, 5907, 5547, 787, 543, 991, 4835, 8800, 543, 3301, 547, 1599, 269, 0, 2026, 513, 1259, 547, 917, 519, 4644, 540, 7260, 31515, 267, 835, 1590, 1101, 5431, 621, 568, 2965, 513, 6310, 6041, 540, 713, 5163, 540, 5201, 267, 3364, 543, 519, 4229, 602, 4482, 891, 1318, 883, 4742, 269, 898, 568, 7150, 602, 1404, 4752, 31515, 616, 3808, 1652, 538, 7274, 543, 2781, 553, 6804, 563, 300, 2660, 666, 581, 513, 1689, 538, 922, 5163, 610, 5201, 630, 292, 815, 26818, 273, 1070, 602, 786, 581, 15452, 538, 1915, 269, 1809, 519, 4644, 540, 519, 8360, 2108, 332, 913, 618, 2108, 1175, 3884, 1406, 2108, 4219, 540, 21755, 2108, 855, 849, 519, 30729, 540, 4287, 563, 21902, 338, 540, 13590, 3196, 1711, 6323, 31515, 540, 1576, 267, 538, 519, 2680, 602, 596, 666, 9305, 621, 883, 707, 2013, 267, 596, 1590, 1174, 922, 2495, 269, 898, 568, 1346, 602, 666, 2014, 606, 11460, 602, 2170, 543, 666, 1796, 676, 3294, 563, 290, 1162, 540, 21755, 971, 607, 5082, 11424, 10414, 602, 786, 3132, 2339, 616, 1634, 607, 6329, 269, 1284, 616, 2111, 547, 2014, 891, 6329, 676, 8108, 2178, 14768, 799, 666, 1847, 609, 519, 8574, 540, 942, 543, 666, 2097, 609, 1142, 824, 547, 3132, 6419, 1379, 543, 666, 5838, 3002, 543, 6846, 543, 5201, 563, 763, 717, 268, 4403, 602, 649, 2731, 1745, 689, 824, 1804, 3688, 971, 607, 519, 3618, 568, 1634, 607, 519, 3400, 13901, 1379, 2059, 609, 519, 25162, 547, 519, 2165, 2108, 12304, 675, 2108, 814, 1044, 6964, 269, 1677, 721, 933, 1745, 602, 519, 717, 268, 4403, 602, 568, 1373, 2813, 1184, 540, 1603, 513, 1382, 1957, 689, 519, 2527, 540, 519, 4541, 269, 1284, 8415, 713, 1808, 4845, 593, 1896, 1114, 2238, 543, 596, 786, 1265, 1082, 2238, 799, 666, 581, 3812, 689, 971, 513, 1808, 2165, 267, 1519, 13941, 606, 20987, 563, 24836, 6143, 568, 513, 1379, 799, 6818, 538, 938, 7122, 602, 3947, 721, 519, 12588, 4585, 891, 2962, 543, 849, 547, 1694, 538, 519, 4541, 779, 2627, 543, 2488, 519, 1379, 269, 1284, 723, 4362, 602, 621, 568, 519, 7852, 540, 519, 11626, 3196, 799, 6411, 2390, 930, 824, 1843, 602, 568, 3544, 563, 16978, 668, 24599, 1143, 827, 519, 6587, 1688, 568, 513, 3350, 540, 17694, 602, 7472, 1769, 267, 3002, 543, 1256, 5201, 269, 901, 568, 711, 563, 8448, 7060, 616, 782, 18190, 17086, 267, 799, 1331, 7167, 659, 13330, 267, 2604, 267, 4432, 2880, 640, 267, 32322, 267, 5487, 2897, 779, 17817, 267, 3092, 1421, 547, 2446, 513, 7008, 563, 763, 3350, 540, 2339, 568, 2219, 540, 607, 8904, 543, 568, 269, 898, 568, 513, 1267, 540, 519, 3167, 3196, 269, 25392, 1312, 2731, 616, 4352, 8904, 568, 1175, 513, 12343, 540, 519, 3196, 267, 543, 5094, 11479, 267, 789, 5291, 2517, 4178, 12459, 7897, 8725, 764, 12975, 270, 12671, 270, 336, 788, 270, 336, 788, 1922, 1400, 15005, 5749, 1406, 519, 1482, 3364, 563, 16978, 11424, 6052, 602, 11710, 689, 5536, 971, 607, 9211, 786, 581, 1018, 649, 3589, 5397, 610, 519, 1648, 269, 901, 949, 581, 519, 6574, 1648, 602, 5170, 547, 581, 2813, 538, 519, 7122, 607, 621, 568, 17941, 2108, 12895, 1379, 2108, 563, 2467, 616, 4229, 602, 2014, 2339, 547, 1847, 267, 855, 602, 568, 519, 476, 272, 269, 1284, 946, 519, 4214, 540, 685, 30335, 8072, 547, 12172, 891, 4229, 799, 666, 581, 2813, 543, 849, 4061, 616, 3318, 516, 14142, 17549, 32392, 2593, 9706, 10107, 5346, 8584, 2389, 8084, 16519, 3917, 712, 268, 30261, 3146, 14142, 1790, 1653, 270, 1018, 649, 1289, 685, 30335, 8072, 563, 2005, 568, 1934, 1631, 602, 649, 917, 4010, 519, 4644, 540, 519, 1913, 281, 2108, 23875, 1223, 2291, 1510, 1945, 269, 13445, 267, 6052, 543, 17086, 269, 1703, 568, 1100, 4641, 267, 1100, 9637, 267, 1100, 1272, 267, 1100, 22556, 543, 1100, 2972, 269, 0, 289, 12864, 782, 2200, 454, 1607, 2985, 2488, 1569, 547, 782, 519, 1344, 2200, 593, 519, 715, 21201, 8892, 3896, 269, 25873, 519, 3003, 32562, 2630, 610, 2824, 835, 610, 811, 3584, 543, 5705, 641, 923, 689, 519, 1592, 693, 2451, 547, 16590, 1524, 998, 519, 4015, 563, 1607, 4760, 2376, 6257, 513, 5691, 1379, 2030, 11460, 602, 10905, 26740, 21369, 2842, 3484, 2504, 609, 535, 15256, 4390, 6383, 676, 1507, 547, 5420, 13355, 26119, 269, 634, 4589, 1336, 602, 519, 5916, 1062, 6035, 1896, 5383, 1519, 4824, 2804, 2773, 267, 8112, 267, 543, 10727, 563, 763, 4589, 540, 713, 4760, 2376, 15974, 513, 6046, 7791, 1648, 5610, 630, 301, 3918, 296, 264, 1062, 602, 16621, 6046, 543, 2842, 19367, 538, 4999, 609, 1164, 27529, 9252, 14793, 3974, 630, 295, 4811, 292, 264, 547, 6556, 7250, 269, 634, 6046, 5057, 568, 6719, 676, 513, 1507, 22606, 3154, 2275, 944, 539, 19720, 269, 634, 4589, 5635, 519, 9297, 540, 1614, 2665, 281, 6046, 1379, 2030, 267, 6046, 543, 2842, 10687, 321, 1441, 9744, 267, 543, 513, 6046, 2914, 785, 31622, 4088, 2504, 9744, 267, 1210, 17783, 1446, 5201, 5777, 543, 2344, 2175, 689, 519, 623, 297, 300, 632, 29970, 543, 519, 11068, 4211, 14931, 2344, 32387, 563, 1607, 1957, 15109, 513, 13598, 8143, 1648, 4859, 630, 307, 2464, 264, 1062, 607, 513, 27164, 7257, 547, 606, 4540, 6046, 1379, 2030, 538, 519, 2136, 2276, 630, 307, 1410, 553, 1040, 634, 4589, 946, 513, 24019, 623, 4041, 311, 5308, 2203, 540, 519, 11272, 4039, 6636, 7027, 540, 7147, 3167, 7470, 547, 18082, 5201, 2344, 21757, 538, 476, 10711, 271, 269, 1358, 946, 1614, 7653, 540, 2067, 3154, 3902, 23004, 609, 513, 13745, 4390, 7269, 2203, 547, 18082, 519, 17293, 540, 12721, 4066, 563, 1607, 4760, 2376, 6799, 1079, 10316, 1648, 1062, 630, 295, 2464, 264, 3631, 269, 2290, 267, 17941, 2757, 267, 7472, 5201, 1152, 543, 5161, 540, 513, 3119, 3002, 11718, 267, 513, 9252, 17081, 11718, 267, 513, 2842, 3484, 543, 513, 6007, 4859, 269, 634, 824, 267, 17941, 4359, 267, 2882, 519, 3334, 1459, 538, 519, 2757, 2203, 855, 849, 513, 3114, 2030, 1950, 547, 1065, 17123, 4430, 1648, 585, 1875, 3887, 10431, 640, 2533, 267, 971, 607, 585, 6721, 3114, 5370, 563, 1607, 4760, 2376, 9607, 3002, 4859, 13745, 6046, 26119, 267, 799, 666, 1683, 7006, 2255, 762, 5201, 1247, 5665, 693, 2407, 1379, 269, 14520, 5049, 540, 3002, 4859, 4066, 7008, 547, 1769, 21226, 26119, 609, 9252, 9979, 269, 9605, 321, 4459, 18650, 268, 3891, 730, 6052, 19554, 630, 293, 7644, 2464, 264, 17838, 1970, 17376, 823, 5201, 883, 1164, 27529, 6740, 3002, 585, 2872, 610, 1379, 269, 674, 7644, 2464, 543, 15839, 973, 10967, 2209, 13745, 547, 6046, 645, 2001, 2023, 1379, 9979, 949, 5512, 1164, 27529, 26119, 547, 4444, 5201, 950, 5777, 616, 1970, 543, 6133, 5201, 693, 2362, 3902, 267, 2687, 547, 519, 4589, 563, 1607, 4760, 2376, 3877, 519, 5610, 1523, 540, 3859, 22425, 923, 883, 513, 1507, 6046, 1379, 2030, 269, 634, 1523, 849, 3877, 519, 1909, 540, 8143, 1648, 4859, 538, 519, 10316, 2030, 269, 0, 26397, 11261, 281, 5181, 476, 6187, 267, 476, 1001, 273, 454, 26581, 787, 281, 4825, 841, 1299, 19901, 6153, 338, 454, 26581, 787, 281, 8551, 1299, 9177, 454, 13126, 281, 12370, 6355, 3427, 454, 7712, 519, 5137, 540, 519, 1101, 2756, 690, 877, 1949, 538, 519, 476, 3192, 271, 338, 267, 519, 2756, 690, 877, 2872, 814, 22734, 3875, 14759, 607, 1007, 4066, 543, 2344, 1303, 7847, 21739, 4957, 519, 11080, 1995, 540, 5561, 269, 769, 519, 2038, 476, 2641, 560, 2540, 267, 5561, 3459, 17034, 3756, 1510, 519, 946, 540, 513, 2168, 11080, 23641, 267, 2901, 998, 741, 5985, 3457, 267, 610, 5051, 267, 998, 519, 834, 743, 3716, 257, 1141, 5561, 1223, 1404, 2756, 690, 1868, 998, 16887, 13087, 3457, 1510, 519, 991, 585, 513, 2168, 3014, 23641, 610, 3014, 12210, 269, 1215, 1522, 519, 6531, 1764, 519, 6384, 540, 519, 2872, 286, 0, 15507, 532, 585, 281, 19461, 6500, 538, 25007, 454, 5825, 539, 547, 1711, 606, 1843, 3236, 689, 513, 1362, 630, 13318, 656, 5573, 1916, 1103, 615, 13330, 568, 1031, 547, 27836, 1776, 1362, 262, 2818, 267, 1519, 4610, 543, 2409, 269, 589, 1016, 1362, 11498, 513, 2706, 1362, 262, 2818, 563, 288, 4020, 528, 568, 513, 2027, 1505, 602, 13976, 519, 1843, 950, 513, 1007, 1843, 568, 2813, 563, 288, 9074, 3568, 2409, 543, 4610, 585, 946, 950, 30418, 513, 1362, 563, 9202, 8525, 3436, 0, 307, 514, 14716, 2810, 454, 307, 514, 568, 1851, 519, 9510, 8407, 2938, 547, 3425, 799, 568, 1572, 835, 540, 1896, 2596, 2609, 538, 519, 13350, 3349, 269, 634, 10626, 540, 17646, 949, 581, 3478, 922, 1813, 6284, 609, 17646, 781, 3573, 946, 538, 1114, 6080, 5001, 269, 18972, 666, 1510, 8594, 8415, 519, 4496, 609, 1100, 2427, 2360, 538, 6476, 547, 930, 824, 5906, 8407, 585, 1383, 1291, 610, 16035, 269, 11109, 922, 4550, 2275, 528, 4592, 633, 2298, 607, 1134, 607, 519, 12588, 547, 2149, 824, 7252, 998, 7311, 513, 4494, 540, 17646, 2740, 15098, 267, 17646, 5663, 568, 2810, 563, 5804, 519, 27705, 6520, 267, 17646, 814, 10123, 1044, 1031, 538, 4999, 609, 7601, 585, 519, 1818, 540, 1028, 9285, 2645, 267, 9604, 267, 543, 7329, 11169, 267, 543, 13742, 269, 1411, 616, 2111, 547, 875, 519, 4496, 540, 17646, 729, 10416, 13939, 2476, 689, 17646, 5599, 7626, 538, 11894, 1472, 476, 12573, 271, 645, 5861, 269, 6764, 20914, 616, 1287, 6569, 1312, 676, 2168, 543, 3114, 3157, 269, 2991, 22729, 609, 519, 17646, 7626, 267, 621, 781, 2366, 585, 1159, 601, 1154, 609, 3327, 693, 3665, 2837, 630, 12671, 476, 7742, 271, 5232, 18278, 264, 3330, 513, 19460, 269, 634, 1671, 5224, 32669, 540, 1071, 538, 519, 5755, 689, 519, 19460, 6770, 827, 519, 5114, 540, 17646, 7626, 609, 519, 1071, 32669, 547, 723, 17646, 1369, 513, 19020, 1106, 563, 763, 1985, 5123, 538, 17646, 5663, 3322, 17975, 519, 19020, 17646, 269, 901, 4480, 568, 2016, 998, 1776, 19460, 2348, 513, 2539, 2179, 540, 3002, 267, 543, 3322, 5277, 566, 799, 2337, 538, 519, 8851, 540, 2417, 24790, 540, 791, 675, 5536, 269, 15394, 519, 15568, 17646, 602, 835, 4991, 1310, 519, 5277, 566, 1184, 568, 2965, 13159, 569, 855, 950, 835, 2115, 547, 723, 519, 16798, 6986, 560, 1826, 540, 17646, 1287, 519, 5277, 730, 543, 15568, 17646, 1058, 581, 16271, 547, 14793, 6776, 17975, 563, 763, 4128, 899, 17646, 616, 2647, 267, 1312, 538, 519, 4702, 5823, 2059, 609, 6469, 5823, 269, 898, 2731, 568, 1031 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 3403, 5311, 1477, 572, 336, 815, 1412, 2969, 24774, 294, 16898, 3722, 294, 2969, 290, 294, 8980, 31769, 6717, 2969, 262, 5897, 258, 513, 9598, 827, 3490, 14911, 30010, 1477, 19668, 291, 1112, 815, 27835, 288, 9166, 262, 307, 3299, 1412, 294, 9166, 262, 290, 3299, 1412, 290, 9166, 262, 294, 3299, 1412, 307, 9166, 262, 288, 262, 348, 5897, 258, 3355, 1125, 519, 4756, 540, 9258, 14911, 5311, 1477, 516, 4467, 921, 5353, 336, 815, 15234, 5897, 258, 4483, 547, 14911, 5311, 543, 9258, 1477, 1721, 1775, 538, 2039, 12759, 263, 572, 336, 264, 910, 476, 272, 267, 910, 272, 267, 910, 272, 2567, 476, 1948, 9258, 1931, 1477, 825, 1264, 26015, 815, 3490, 291, 1112, 314, 572, 336, 5157, 14963, 1477, 825, 556, 4467, 921, 5353, 336, 6834, 1264, 26015, 476, 1948, 2322, 519, 14911, 3490, 1927, 5897, 258, 1820, 519, 5311, 1477, 2745, 3488, 305, 27654, 14911, 5311, 281, 3299, 556, 4467, 921, 5353, 336, 264, 0, 12163, 516, 576, 633, 292, 750, 18258, 454, 293, 30213, 13259, 5471, 848, 17771, 267, 3057, 1723, 14465, 3128, 10045, 267, 715, 1457, 574, 590, 1002, 686, 454, 1607, 3009, 11392, 6151, 552, 22313, 21168, 267, 799, 941, 2366, 547, 513, 3060, 1210, 519, 1085, 777, 344, 5399, 563, 20701, 5228, 1085, 777, 344, 269, 718, 1104, 1476, 454, 5814, 1785, 7531, 12163, 1607, 1599, 7024, 519, 10736, 1344, 540, 519, 21168, 269, 8528, 281, 12407, 1239, 281, 519, 25466, 1239, 799, 4991, 8237, 909, 547, 1205, 519, 5672, 268, 5417, 19843, 543, 519, 7014, 454, 281, 6943, 281, 25466, 454, 20701, 454, 3698, 552, 22313, 6958, 9347, 16597, 2187, 825, 3186, 8548, 659, 267, 521, 21683, 8548, 659, 267, 1486, 334, 815, 1785, 26509, 17569, 3488, 256, 277, 338, 277, 338, 273, 338, 3299, 1239, 11468, 1691, 7481, 825, 2132, 1205, 8548, 659, 318, 5417, 337, 5560, 652, 8548, 659, 1070, 1205, 8548, 659, 318, 5417, 337, 4433, 21683, 8548, 659, 1070, 1205, 318, 2889, 339, 4377, 263, 2889, 1729, 1070, 1239, 314, 1691, 281, 6540, 454, 12163, 1607, 1599, 7024, 519, 10736, 26914, 268, 5417, 19843, 269, 567, 692, 281, 12407, 25466, 318, 5417, 337, 281, 25466, 799, 2099, 519, 5672, 268, 5417, 816, 454, 281, 6943, 281, 25466, 454, 20701, 454, 3698, 1205, 8548, 659, 318, 5417, 337, 263, 2421, 5052, 318, 5417, 337, 2187, 825, 25466, 23919, 815, 4786, 3488, 346, 281, 6349, 343, 348, 8339, 8971, 267, 25466, 318, 5417, 337, 994, 825, 5672, 318, 5417, 816, 815, 1412, 281, 8339, 21860, 263, 2421, 5052, 23919, 1040, 21639, 4590, 825, 2132, 5672, 318, 5417, 816, 7531, 12163, 1607, 1599, 7024, 519, 10736, 7014, 780, 281, 12407, 25466, 318, 2889, 1729, 281, 25466, 799, 2099, 519, 7014, 454, 281, 6943, 281, 25466, 454, 20701, 454, 3698, 1205, 318, 2889, 339, 4377, 263, 2421, 5052, 318, 2889, 1729, 2187, 825, 25466, 23919, 815, 4786, 3488, 346, 281, 6349, 343, 348, 8339, 8971, 267, 25466, 318, 2889, 1729, 994, 825, 7014, 815, 1412, 8339, 21860, 263, 2421, 5052, 23919, 1040, 21639, 4590, 825, 2132, 7014, 7531, 12163, 763, 1599, 12086, 519, 1007, 2366, 17142, 609, 519, 7014, 834, 271, 343, 10384, 271, 257, 543, 16493, 519, 1344, 780, 281, 12407, 8818, 281, 2012, 540, 519, 3060, 8818, 267, 585, 3236, 1412, 523, 271, 3299, 1412, 523, 272, 3299, 4429, 281, 6943, 281, 1193, 454, 281, 8873, 281, 519, 31139, 540, 519, 552, 22313, 17142, 454, 281, 337, 6943, 281, 25466, 3097, 20701, 454, 3698, 4309, 263, 5793, 2183, 17107, 825, 1247, 6936, 1384, 1038, 1124, 330, 815, 1476, 11482, 273, 338, 12714, 263, 604, 864, 284, 5793, 2183, 264, 476, 1948, 1085, 777, 344, 23094, 799, 13462, 547, 513, 3060, 552, 3052, 834, 523, 271, 2580, 834, 523, 272, 4840, 1038, 533, 19241, 815, 25466, 4433, 1442, 269, 13440, 341, 28829, 476, 1948, 519, 21168, 1205, 1224, 543, 10736, 547, 25466, 454, 1038, 952, 533, 19241, 314, 1321, 281, 1691, 316, 11203, 536, 262, 315, 343, 3583, 315, 343, 876, 9166, 476, 1948, 1152, 519, 21168, 609, 7014, 834, 271, 343, 10384, 271, 257, 1205, 22012, 454, 2018, 3136, 692, 1038, 3186, 8548, 659, 267, 521, 21683, 8548, 659, 267, 2802, 318, 2889, 1729, 267, 1239, 815, 552, 22313, 6958, 9347, 9638, 19241, 264, 476, 1948, 7125, 519, 1599, 547, 6460, 519, 1344, 540, 519, 21168, 692, 1038, 1820, 28361, 333, 292, 22313, 31108, 281, 5073, 1038, 1820, 2891, 291, 652, 1588, 26914, 281, 15079, 2668, 8971, 5560, 652, 8548, 659, 4297, 476, 1948, 16493, 519, 10736, 10278, 26914, 268, 5417, 816, 454, 1038, 1820, 2891, 13126, 26914, 281, 15079, 2668, 8971, 4433, 21683, 8548, 659, 4297, 476, 1948, 16493, 519, 10736, 2707, 26914, 268, 5417, 816, 454, 1038, 1820, 2891, 3682, 339, 4377, 281, 15079, 2668, 8971, 263, 996, 318, 2889, 1729, 4297, 476, 1948, 16493, 519, 10736, 7014, 454, 1038, 1820, 2891, 303, 871, 564, 281, 14307, 1239, 264, 476, 1948, 16493, 519, 2628, 719, 454, 1038, 2736, 692, 825, 2132, 1239, 692, 0, 5814, 621, 1068, 8962, 692, 5035, 30014, 912, 476, 1219, 6449, 8181, 9191, 1345, 267, 1942, 267, 3441, 267, 24915, 2187, 825, 1582, 6983, 739, 815, 1942, 454, 825, 1582, 6155, 600, 720, 815, 3441, 454, 825, 1582, 269, 1301, 528, 815, 24915, 692, 476, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 8587, 2132, 824, 543, 1582, 6983, 739, 2652, 824, 6983, 739, 543, 1582, 6155, 600, 720, 2652, 824, 6155, 600, 720, 543, 1582, 269, 1301, 528, 2652, 824, 269, 1301, 528, 692, 476, 1219, 6449, 928, 9191, 1345, 267, 824, 2187, 825, 2132, 711, 1582, 14857, 18091, 9191, 1278, 2020, 476, 1219, 6449, 327, 1662, 9191, 1345, 2187, 8587, 2132, 19474, 9230, 1345, 6983, 739, 267, 1582, 6155, 600, 720, 267, 1582, 269, 1301, 528, 11723, 476, 1219, 6449, 1598, 9191, 1345, 2187, 825, 2132, 834, 291, 600, 720, 281, 4939, 338, 267, 14022, 528, 281, 4939, 338, 267, 8779, 281, 4939, 338, 257, 4939, 630, 1345, 6155, 600, 720, 267, 1345, 269, 1301, 528, 267, 1345, 6983, 739, 2020, 476, 1219, 6449, 516, 1440, 9191, 1345, 2187, 825, 2132, 1582, 14857, 1598, 9191, 2020, 258, 1284, 777, 976, 281, 825, 8779, 476, 28100, 476, 14022, 528, 454, 258, 667, 16925, 1038, 476, 279, 672, 476, 275, 11434, 476, 271, 454, 258, 10374, 1873, 867, 567, 476, 1015, 672, 476, 276, 11434, 476, 271, 454, 258, 2782, 5069, 1067, 825, 476, 1839, 672, 476, 277, 11434, 476, 271, 454, 258, 7043, 1873, 867, 825, 476, 2412, 672, 476, 278, 11434, 476, 271, 454, 258, 4279, 1314, 324, 672, 476, 10619, 672, 476, 279, 11434, 476, 271, 692, 258, 14022, 528, 281, 8587, 8779, 476, 28100, 476, 14022, 528, 454, 258, 2274, 1430, 8587, 476, 1724, 672, 476, 271, 11434, 476, 272, 454, 258, 20456, 21166, 825, 476, 4029, 672, 476, 271, 11434, 476, 273, 454, 258, 590, 680, 842, 21166, 567, 476, 7871, 672, 476, 271, 11434, 476, 274, 454, 258, 17020, 539, 21166, 567, 476, 4037, 672, 476, 271, 11434, 476, 275, 454, 258, 17934, 21166, 567, 476, 9083, 672, 476, 271, 11434, 476, 276, 692, 258, 681, 902, 281, 8587, 8779, 476, 28100, 476, 14022, 528, 454, 258, 28100, 1341, 272, 825, 476, 1839, 672, 476, 272, 11434, 476, 271, 454, 258, 28100, 1341, 273, 825, 476, 2004, 672, 476, 273, 11434, 476, 271, 454, 258, 28100, 1341, 274, 567, 476, 1911, 672, 476, 274, 11434, 476, 271, 454, 258, 16470, 1341, 272, 567, 476, 736, 672, 476, 271, 11434, 476, 272, 454, 258, 16470, 1341, 273, 567, 476, 2412, 672, 476, 271, 11434, 476, 273, 454, 258, 16470, 1341, 274, 567, 476, 3199, 672, 476, 271, 11434, 476, 274, 692, 258, 645, 1601, 853, 1846, 454, 258, 12231, 18745, 281, 476, 11820, 454, 258, 28100, 281, 476, 279, 454, 258, 14022, 528, 281, 476, 273, 692, 933, 777, 976, 815, 1496, 2005, 655, 263, 279, 267, 275, 267, 271, 1070, 2005, 655, 263, 1015, 267, 276, 267, 271, 1070, 2005, 655, 263, 1839, 267, 277, 267, 271, 1070, 2005, 655, 263, 2412, 267, 278, 267, 271, 1070, 2005, 655, 263, 10619, 267, 279, 267, 271, 22708, 1301, 832, 815, 1496, 2005, 655, 263, 1724, 267, 271, 267, 272, 1070, 2005, 655, 263, 4029, 267, 271, 267, 273, 1070, 2005, 655, 263, 7871, 267, 271, 267, 274, 1070, 2005, 655, 263, 4037, 267, 271, 267, 275, 1070, 2005, 655, 263, 9083, 267, 271, 267, 276, 22708, 337, 902, 815, 1496, 2005, 655, 263, 1839, 267, 272, 267, 271, 1070, 2005, 655, 263, 2004, 267, 273, 267, 271, 1070, 2005, 655, 263, 1911, 267, 274, 267, 271, 1070, 2005, 655, 263, 736, 267, 271, 267, 272, 1070, 2005, 655, 263, 2412, 267, 271, 267, 273, 1070, 2005, 655, 263, 3199, 267, 271, 267, 274, 264, 6540, 14403, 5334, 1115, 815, 1305, 4590, 258, 4020, 6221, 5036, 454, 1721, 14049, 538, 9604, 912, 476, 1948, 14403, 5334, 1115, 14491, 6600, 549, 17899, 564, 8443, 933, 777, 517, 28413, 476, 1948, 1721, 24915, 538, 6186, 832, 912, 825, 1948, 14403, 5334, 1115, 14491, 6600, 549, 17899, 564, 8443, 933, 777, 517, 267, 24915, 28413, 825, 585, 8258, 27133, 538, 621, 1068, 8962, 2593, 321, 5209, 16868, 902, 267, 476, 273, 2187, 8587, 8258, 318, 1260, 2692, 815, 1305, 8443, 933, 777, 517, 7481, 8587, 585, 8258, 538, 8258, 27133, 912, 1038, 8258, 318, 1260, 2692, 14491, 263, 2590, 994, 8587, 6221, 5334, 1115, 14491, 6600, 549, 17899, 564, 263, 2590, 318, 1260, 2692, 4917, 825, 585, 8258, 538, 14034, 912, 8587, 6221, 5334, 1115, 14491, 6600, 549, 17899, 564, 8443, 933, 777, 517, 267, 8258, 8079, 2020, 1721, 3688, 538, 6221, 5334, 1115, 912, 476, 1820, 3688, 692, 321, 1601, 5091, 600, 720, 815, 476, 279, 454, 321, 1601, 318, 1301, 528, 815, 476, 273, 454, 2381, 6831, 739, 815, 476, 1911, 271, 454, 10946, 9078, 3151, 6831, 739, 815, 476, 271, 454, 258, 8520, 936, 9604, 267, 24915, 543, 14034, 454, 1721, 6221, 27133, 538, 6221, 5334, 1115, 912, 476, 20148, 20189, 335, 815, 476, 11820, 454, 476, 6345, 20189, 335, 815, 476, 1911, 692, 476, 6345, 5091, 600, 720, 815, 2040, 9217, 6155, 600, 720, 585, 1775, 538, 6221, 27133, 994, 476, 6345, 318, 1301, 528, 815, 2040, 9217, 269, 1301, 528, 585, 1775, 538, 6221, 27133, 994, 476, 1942, 815, 2040, 9217, 6983, 739, 585, 1775, 538, 6221, 27133, 2020, 476, 1820, 834, 291, 600, 720, 281, 4939, 338, 267, 14022, 528, 281, 4939, 338, 267, 8779, 281, 4939, 338, 257, 4939, 630, 16651, 5091, 600, 720, 267, 16651, 318, 1301, 528, 22698, 739, 9239, 476, 1247, 6936, 912, 825, 952, 6345, 5091, 600, 720, 910, 20148, 318, 1301, 528, 2999, 476, 272, 912, 8587, 20148, 20189, 335, 20699, 476, 272, 454, 825, 3116, 912, 8587, 20148, 20189, 335, 20699, 630, 16651, 5091, 600, 720, 910, 20148, 318, 1301, 528, 994, 825, 952, 630, 321, 1601, 20189, 335, 10922, 476, 271, 2187, 8587, 2736, 454, 825, 952, 20148, 5091, 600, 720, 910, 6345, 318, 1301, 528, 2999, 476, 272, 912, 8587, 6345, 20189, 335, 20699, 476, 272, 454, 825, 3116, 912, 8587, 6345, 20189, 335, 20699, 630, 321, 1601, 5091, 600, 720, 910, 6345, 318, 1301, 528, 994, 825, 952, 630, 16651, 20189, 335, 10922, 476, 271, 2187, 8587, 2736, 7531, 476, 952, 20148, 20189, 335, 3436, 476, 271, 912, 825, 1820, 834, 32156, 19380, 30882, 825, 952, 630, 322, 739, 3436, 3193, 9078, 3151, 6831, 739, 2187, 8587, 1820, 6221, 27133, 454, 8587, 3193, 9078, 3151, 6831, 739, 815, 1942, 454, 476, 3116, 912, 825, 1820, 834, 32156, 17993, 30882, 825, 952, 630, 322, 739, 2999, 1295, 6831, 739, 2187, 8587, 1295, 6831, 739, 815, 1942, 692, 2745, 834, 14737, 10888, 1942, 281, 14307, 1295, 6831, 739, 454, 2745, 834, 16655, 9561, 1942, 281, 14307, 3193, 9078, 3151, 6831, 739, 454, 0, 333, 815, 703, 9272, 3890, 3418, 604, 562, 285, 271, 6769, 13537, 2891, 31339, 7089, 14744, 12828, 6769, 13537, 2891, 27078, 894, 7089, 8442, 0, 5228, 10070, 1104, 3957, 14654, 921, 267, 631, 17014, 13729, 454, 5814, 19523, 267, 942, 267, 5569, 692, 5814, 512, 322, 617, 692, 11592, 815, 3957, 14654, 921, 3488, 11592, 3299, 18358, 343, 3299, 1412, 344, 262, 7481, 10594, 514, 815, 8672, 263, 271, 267, 476, 271, 2020, 5035, 25351, 24998, 2187, 825, 8173, 825 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 5131, 5758, 543, 2079, 540, 957, 476, 274, 267, 6429, 476, 272, 538, 13171, 9372, 2261, 869, 324, 5889, 23717, 338, 4387, 3655, 755, 639, 602, 4465, 5889, 23717, 339, 1118, 596, 2879, 648, 649, 9153, 563, 23087, 540, 519, 1650, 713, 2261, 869, 324, 781, 4387, 3655, 755, 639, 519, 2038, 3655, 755, 669, 777, 1504, 267, 1247, 538, 10009, 538, 7187, 27437, 267, 1336, 922, 1259, 547, 24469, 269, 16362, 3655, 755, 639, 13171, 9372, 2261, 869, 324, 3349, 540, 9115, 4729, 7650, 5758, 1299, 2079, 7139, 4084, 6429, 476, 272, 10207, 476, 273, 1700, 275, 10207, 476, 276, 1700, 277, 669, 11501, 476, 273, 1700, 2675, 2940, 476, 279, 669, 11501, 476, 274, 269, 16362, 3655, 755, 639, 630, 3422, 278, 264, 593, 708, 27219, 281, 4729, 5758, 267, 5348, 18462, 267, 543, 811, 563, 23087, 540, 4387, 3655, 755, 639, 454, 18794, 8797, 28755, 1188, 4585, 519, 1412, 16435, 5922, 5264, 19317, 262, 12558, 1934, 1205, 519, 555, 1872, 4967, 1433, 5291, 563, 268, 16362, 3655, 755, 639, 568, 513, 24141, 3209, 2854, 676, 28114, 812, 333, 267, 13175, 538, 476, 3707, 274, 543, 3370, 538, 476, 3707, 278, 607, 546, 758, 30004, 3655, 755, 639, 281, 546, 553, 682, 17754, 964, 632, 583, 2675, 1156, 9748, 28856, 619, 740, 6929, 11573, 330, 6686, 18255, 563, 268, 8834, 4280, 803, 547, 798, 513, 476, 1321, 6429, 5758, 270, 27675, 18462, 585, 519, 5159, 585, 938, 1397, 1247, 1775, 1705, 711, 798, 513, 5348, 18462, 585, 3817, 476, 736, 268, 1839, 267, 1775, 723, 519, 1964, 540, 519, 1397, 24298, 563, 268, 3848, 5758, 585, 13171, 9372, 2261, 869, 324, 781, 4387, 3655, 755, 639, 267, 957, 476, 276, 6429, 476, 272, 5758, 1265, 513, 5758, 540, 713, 543, 1142, 3184, 540, 4387, 3655, 755, 639, 563, 268, 8056, 2664, 2299, 4647, 519, 4387, 3655, 755, 639, 5758, 267, 3184, 8386, 7302, 1986, 2079, 267, 1433, 4967, 267, 3594, 267, 10530, 267, 1915, 11673, 267, 3992, 4566, 267, 543, 811, 910, 3388, 563, 268, 634, 1788, 8937, 28086, 19545, 540, 519, 911, 326, 673, 1686, 540, 1743, 3655, 755, 639, 267, 676, 13171, 6016, 2261, 869, 324, 713, 19545, 568, 585, 519, 946, 540, 4896, 9170, 693, 1100, 1942, 543, 609, 3592, 1100, 563, 8340, 782, 2139, 1353, 10274, 543, 24096, 585, 4387, 3655, 755, 639, 676, 28114, 812, 333, 952, 972, 568, 513, 8141, 17084, 267, 695, 15879, 641, 267, 610, 29384, 4967, 3391, 267, 649, 786, 723, 621, 7396, 1934, 269, 18332, 2261, 869, 324, 4387, 3655, 755, 639, 13171, 9372, 2261, 869, 324, 910, 4387, 3655, 755, 639, 957, 476, 272, 7139, 4084, 4843, 676, 513, 669, 11501, 267, 519, 7139, 4084, 269, 3220, 3655, 755, 639, 1353, 3391, 3568, 513, 12092, 540, 13171, 9372, 2261, 869, 324, 267, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 269, 0, 1432, 568, 12525, 286, 4208, 12525, 25198, 888, 6524, 649, 798, 1945, 593, 3454, 267, 649, 1058, 917, 1018, 568, 3454, 286, 4208, 519, 3454, 6927, 286, 24511, 267, 3454, 568, 513, 25471, 9295, 547, 1533, 8907, 26550, 1221, 676, 519, 2229, 269, 3776, 2229, 2356, 3096, 9204, 547, 1628, 1857, 6703, 543, 1102, 2858, 23461, 971, 607, 3506, 267, 10506, 267, 19814, 543, 29032, 267, 799, 1683, 13418, 547, 782, 540, 721, 269, 12525, 525, 2356, 666, 581, 5258, 883, 6688, 899, 4747, 3454, 267, 9042, 3454, 267, 10697, 3454, 267, 543, 1866, 563, 7336, 2610, 540, 519, 1761, 2188, 540, 3454, 454, 2171, 2445, 5216, 2188, 5732, 1644, 519, 22883, 6053, 543, 9389, 958, 9867, 3454, 538, 5245, 912, 268, 10871, 2551, 454, 268, 10003, 5860, 270, 4155, 10333, 454, 268, 7089, 540, 2282, 10506, 454, 268, 5890, 1619, 585, 2564, 682, 11803, 454, 268, 5890, 1619, 585, 13344, 610, 23190, 454, 268, 8899, 13867, 2551, 454, 268, 4400, 13867, 2551, 454, 26452, 1930, 1239, 689, 5245, 6554, 616, 8246, 585, 519, 2520, 990, 529, 592, 5314, 540, 891, 5216, 4632, 563, 763, 3347, 1063, 3454, 543, 891, 8739, 20300, 1761, 2188, 616, 8268, 689, 1079, 3344, 912, 268, 4256, 9757, 3347, 616, 8268, 609, 1875, 268, 12407, 13011, 3631, 563, 268, 4256, 2520, 2214, 7652, 2199, 5222, 616, 4330, 1210, 32321, 22051, 9695, 630, 294, 29949, 1040, 6969, 28047, 305, 2861, 12605, 267, 4632, 616, 5697, 1210, 1900, 30150, 5276, 9695, 563, 24868, 539, 2520, 2214, 7652, 2199, 5222, 540, 4632, 593, 3454, 454, 268, 15510, 4249, 811, 5107, 538, 519, 3454, 538, 519, 7262, 543, 3844, 8241, 4525, 563, 268, 10003, 5860, 610, 4155, 10333, 568, 1271, 585, 782, 8241, 4525, 4849, 585, 7532, 1606, 4822, 3148, 563, 268, 634, 7418, 540, 10506, 616, 2147, 609, 4155, 563, 268, 634, 9295, 540, 4747, 568, 811, 1271, 538, 3844, 4525, 982, 824, 4525, 563, 303, 9438, 539, 3892, 540, 3454, 538, 476, 10711, 271, 2066, 5245, 454, 763, 2520, 2214, 7652, 3892, 540, 3454, 538, 476, 10711, 271, 568, 10567, 1210, 32321, 22051, 9695, 2203, 269, 11778, 1397, 602, 519, 3454, 786, 581, 3648, 2799, 538, 7262, 4525, 267, 543, 621, 849, 786, 581, 2799, 538, 9456, 4525, 269, 0, 1789, 628, 9335, 13749, 454, 1789, 628, 9335, 13749, 568, 606, 954, 7116, 531, 18302, 6728, 538, 15740, 267, 12425, 269, 898, 568, 15740, 781, 1292, 16456, 6728, 267, 543, 568, 513, 2101, 3247, 593, 2549, 10177, 330, 781, 29036, 543, 6206, 7723, 23725, 832, 269, 898, 29156, 607, 513, 2101, 862, 17458, 7841, 6728, 282, 621, 568, 6039, 676, 782, 590, 21750, 12425, 18815, 16958, 630, 306, 7968, 14011, 264, 13636, 12565, 3515, 267, 543, 568, 519, 7262, 2165, 19434, 585, 1715, 14948, 3690, 527, 781, 9533, 4975, 7412, 269, 898, 568, 849, 6039, 676, 1896, 590, 7968, 14011, 2749, 543, 28180, 21772, 267, 607, 1134, 607, 21772, 13234, 676, 27359, 3690, 527, 543, 17685, 640, 12427, 563, 268, 476, 272, 13517, 454, 268, 476, 273, 3778, 454, 268, 476, 274, 10558, 1554, 454, 268, 476, 275, 13749, 6703, 454, 268, 476, 276, 20155, 454, 268, 476, 277, 769, 2442, 2528, 454, 268, 476, 278, 22108, 454, 268, 476, 279, 24498, 6402, 454, 763, 6728, 568, 4092, 693, 476, 27768, 276, 10369, 9335, 269, 898, 568, 4092, 538, 15740, 781, 2160, 4975, 8378, 267, 1175, 2066, 519, 5576, 340, 2643, 26973, 5211, 689, 4741, 4975, 269, 634, 2679, 267, 799, 1101, 8118, 538, 476, 4350, 274, 267, 568, 7396, 593, 519, 2817, 19193, 540, 19866, 23089, 563, 1789, 628, 9335, 13749, 568, 2549, 10177, 330, 781, 3791, 1532, 639, 5006, 6728, 267, 543, 519, 1668, 5006, 540, 519, 476, 2190, 10473, 6039, 538, 12425, 267, 7674, 476, 275, 267, 30329, 267, 5780, 273, 15915, 538, 16642, 1032, 476, 1001, 278, 269, 2201, 606, 3328, 1554, 538, 16642, 476, 1001, 274, 267, 827, 476, 1321, 267, 1822, 1004, 4604, 539, 610, 2451, 14884, 538, 15740, 267, 5176, 7466, 607, 1082, 607, 538, 519, 1964, 540, 519, 12425, 10473, 5916, 563, 763, 12425, 21805, 630, 11266, 305, 1070, 799, 729, 2212, 32483, 1229, 538, 15740, 267, 9715, 15993, 2924, 689, 519, 5576, 340, 2643, 26973, 5211, 547, 476, 1428, 628, 9335, 689, 519, 2749, 540, 15740, 538, 2132, 585, 2244, 602, 519, 2749, 2877, 547, 4020, 519, 18148, 15284, 5244, 3118, 269, 901, 4847, 519, 2754, 547, 1628, 1312, 4427, 18076, 13749, 543, 519, 476, 1789, 628, 9335, 13749, 267, 799, 8719, 16340, 9335, 6728, 607, 519, 8545, 729, 1932, 1507, 269, 16340, 853, 269, 13749, 729, 513, 20839, 15134, 12363, 538, 4741, 4975, 543, 998, 14884, 1185, 547, 1394, 538, 543, 856, 267, 543, 519, 2754, 4941, 513, 4087, 799, 1131, 13918, 14884, 1063, 1715, 3840, 4975, 543, 6115, 269, 667, 5861, 269, 16340, 853, 269, 6728, 849, 17411, 513, 1804, 862, 17458, 5106, 267, 799, 519, 1007, 11895, 4427, 18076, 13749, 729, 3710, 547, 6023, 269, 630, 10303, 540, 519, 12870, 543, 2622, 2782, 4083, 267, 16340, 853, 269, 6728, 4769, 1405, 2673, 2394, 476, 4198, 273, 8094, 763, 9628, 11265, 6109, 540, 24023, 267, 18722, 267, 11525, 560, 543, 6519, 267, 519, 24288, 547, 667, 13034, 269, 22210, 5069, 1299, 7577, 267, 2966, 519, 2497, 267, 8385, 1634, 607, 12425, 13749, 1700, 1789, 628, 9335, 538, 11063, 609, 519, 20803, 2511, 540, 824, 12425, 853, 725, 269, 4706, 1374, 729, 6766, 676, 519, 29036, 4856, 5090, 528, 18546, 2305, 602, 4847, 14884, 547, 1780, 9944, 519, 6728, 1510, 20392, 15915, 547, 865, 582, 607, 9252, 9817, 540, 4505, 2053, 1185, 269, 634, 6728, 1185, 513, 1297, 540, 5499, 2934, 267, 1519, 513, 533, 928, 9964, 8546, 1062, 267, 606, 5907, 954, 1260, 267, 543, 513, 18674, 8122, 609, 2230, 585, 1507, 8484, 547, 2244, 267, 543, 8659, 513, 6180, 4231, 267, 513, 32724, 543, 811, 982, 476, 274, 267, 1822, 4009, 3952, 540, 6413, 2230, 563, 17746, 2315, 3459, 538, 476, 4572, 278, 543, 519, 6728, 8118, 538, 476, 4350, 274, 267, 4358, 609, 1079, 3760, 13475, 269, 634, 5318, 7996, 4055, 568, 5185, 609, 911, 3200, 710, 543, 519, 30756, 1229, 18109, 568, 13556, 4154, 267, 2699, 543, 8645, 269, 634, 2679, 781, 16538, 814, 897, 636, 2740, 2823, 324, 2275, 665, 12742, 593, 519, 7178, 543, 7532, 1795, 1228, 267, 543, 2982, 513, 3666, 1063, 8106, 543, 2413, 11265, 6163, 563, 13051, 15284, 13749, 454, 1103, 476, 1220, 276, 267, 15740, 2861, 623, 1168, 4077, 3386, 11565, 4280, 2549, 10177, 330, 547, 1689, 519, 2012, 540, 476, 1789, 628, 9335, 13749, 547, 834, 13051, 15284, 13749, 257, 607, 851, 540, 519, 11812, 540, 5484, 15284, 781, 476, 4968, 628, 14512, 538, 5130, 476, 1220, 277, 269, 634, 1942, 540, 13868, 4191, 693, 519, 6728, 729, 6059, 693, 1269, 274, 2929, 563, 1103, 5130, 267, 15740, 26302, 3627, 9335, 28520, 1010, 1489, 3297, 519, 2012, 1689, 267, 855, 1866, 1185, 6404, 6547, 547, 519, 11556, 269, 12425, 17135, 3798, 681, 754, 749, 267, 513, 5449, 25650, 540, 15740, 267, 729, 561, 8123, 342, 1301, 267, 1247, 2549, 10177, 330, 8387, 14126, 602, 513, 834, 13051, 257, 6728, 1223, 581, 11821, 609, 922, 824, 1614, 834, 303, 3317, 257, 10473, 269, 2201, 5130, 476, 1839, 267, 476, 1220, 277, 267, 623, 1168, 14460, 519, 5859, 267, 4758, 1100, 2601, 563, 1103, 4864, 476, 1001, 275, 267, 513, 5313, 1876, 729, 5293, 602, 786, 1689, 519, 2012, 540, 519, 6728, 547, 5261, 670, 269, 22630, 8633, 476, 1789, 628, 9335, 13749, 538, 8956, 540, 519, 3735, 18322, 2006, 269, 2311, 519, 942, 267, 519, 1689, 729, 16516, 547, 2049, 834, 514, 519, 1985, 1906, 3275, 8487, 763, 2679, 568, 11262, 676, 2549, 10177, 330, 543, 8075, 1082, 2549, 10177, 330, 9746, 13646, 267, 4352, 2549, 10177, 330, 568, 13166, 2212, 32483, 1229, 693, 5742, 13749, 538, 6115, 267, 667, 5861, 269, 634, 476, 6321, 273, 267, 1822, 10264, 11054, 630, 7367, 267, 1822, 544, 11054, 264, 9744, 2934, 513, 1309, 591, 333, 748, 1292, 18213, 6677, 6847, 609, 15022, 622, 3203, 1546, 1723, 7718, 563, 23220, 514, 1836, 10268, 568, 519, 12425, 21805, 2622, 2782, 4083, 17341, 267, 799, 26549, 12425, 21805, 5520, 7166, 538, 2622, 2782, 4083, 269, 898, 5161, 540, 513, 19730, 18533, 540, 519, 2895, 13370, 7812, 17666, 519, 1560, 540, 513, 4666, 17199, 856, 540, 519, 26428, 540, 2112, 267, 543, 729, 9380, 539, 676, 21701, 670, 4545, 1442, 538, 476, 4198, 271, 269, 2201, 519, 2185, 5011, 540, 519, 3490, 540, 602, 17001, 616, 519, 476, 272, 267, 28906, 4408, 540, 1346, 5520, 538, 9904, 673, 1931, 563, 763, 2679, 729, 17468, 538, 476, 1960, 272, 676, 8355, 8834, 918, 641, 921, 1299, 4889, 919, 269, 1879, 519, 6728, 729, 22058, 730, 267, 8242, 10685, 29319, 941, 3773, 269, 1358, 1331, 1896, 15945, 267, 513, 1804, 1426, 5480, 267, 1286, 23934, 6703, 267, 29017, 321, 903, 24334, 267, 667, 6064, 514, 262, 5213, 7491, 267, 543, 1866, 563, 763, 2549, 10177, 330, 476, 1789, 628, 9335, 5244, 532, 12275, 720, 729, 2966, 676, 19154, 307, 11629, 338, 543, 6192, 538, 476, 1220, 275, 269, 901, 8370, 7400, 267, 5595, 927, 1460, 25880, 2488, 476, 273, 267, 1911, 18736, 5624, 543, 4837, 10276, 743, 2216, 25047, 13486, 543, 30981, 547, 2709, 5784, 540, 15740, 269, 634, 1739, 1032, 630, 1220, 276, 264, 519, 5246, 9335, 16677, 652, 6929, 15167, 729, 6192, 543, 2966 ]

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

[ 4754, 596, 5225, 948, 803, 4855, 519, 1858, 540, 606, 31164, 6906, 630, 10585, 476, 274, 3766, 517, 264, 609, 519, 2016, 6482, 269, 286, 476, 277, 20878, 8953, 589, 815, 13483, 269, 538, 269, 888, 2171, 1122, 344, 281, 2052, 596, 24963, 2347, 519, 3877, 585, 707, 2243, 5225, 269, 14871, 281, 1018, 568, 585, 31164, 6906, 630, 10585, 476, 274, 3766, 517, 264, 609, 519, 2016, 6482, 269, 476, 277, 20878, 8953, 589, 815, 13483, 269, 538, 269, 286, 630, 5415, 994, 9223, 454, 280, 20878, 15943, 875, 1082, 786, 621, 581, 589, 815, 13483, 269, 538, 269, 888, 2171, 1122, 344, 281, 1018, 568, 519, 20372, 781, 3337, 286, 630, 5415, 994, 9223, 454, 263, 10585, 476, 274, 3766, 517, 994, 2171, 1122, 344, 281, 634, 2834, 476, 274, 3766, 517, 267, 1634, 607, 519, 31164, 6906, 267, 729, 9112, 538, 594, 269, 272, 267, 1247, 519, 2834, 476, 275, 3766, 517, 267, 1634, 607, 519, 4009, 267, 729, 9112, 538, 594, 269, 5379, 269, 769, 1433, 10001, 267, 2834, 476, 276, 3766, 976, 543, 2834, 476, 277, 3766, 976, 723, 1044, 9112, 269, 1496, 1323, 3498, 540, 8633, 269, 1789, 630, 6518, 729, 1031, 538, 713, 20790, 264, 666, 5595, 519, 1297, 540, 5011, 540, 513, 2834, 20372, 267, 543, 4061, 2834, 29977, 609, 476, 279, 267, 476, 1015, 267, 476, 1321, 267, 476, 1626, 267, 476, 736, 267, 476, 2190, 267, 3092, 1421, 5011, 666, 581, 9112, 269, 901, 20790, 2982, 875, 547, 946, 513, 2834, 544, 3766, 517, 543, 513, 2834, 562, 3766, 517, 547, 3132, 513, 2834, 544, 333, 3766, 517, 267, 3177, 602, 544, 543, 562, 616, 5266, 6305, 2338, 269, 2334, 3812, 513, 476, 1428, 3766, 517, 267, 543, 689, 602, 649, 666, 3132, 2834, 29977, 609, 476, 1789, 267, 476, 2568, 267, 476, 6344, 267, 3092, 1421, 5011, 269, 4935, 267, 513, 2834, 562, 3766, 517, 666, 581, 9112, 952, 519, 1152, 6305, 2338, 602, 7941, 562, 616, 476, 273, 267, 476, 274, 267, 543, 476, 276, 267, 1141, 476, 273, 666, 581, 513, 7368, 3815, 267, 855, 476, 274, 543, 476, 276, 616, 711, 7368, 269, 9948, 630, 5415, 994, 9223, 454, 28082, 22062, 725, 454, 288, 2520, 12510, 878, 1062, 568, 4429, 2171, 1122, 344, 281, 589, 2520, 12510, 878, 1062, 568, 3047, 19721, 269, 14871, 281, 769, 519, 2250, 267, 24666, 7422, 941, 606, 1271, 851, 540, 4429, 1723, 2075, 633, 454, 2171, 1122, 344, 281, 634, 3213, 2075, 633, 20450, 941, 5921, 547, 9258, 519, 7678, 540, 7810, 4187, 855, 2965, 1008, 12097, 2362, 2157, 540, 4429, 7617, 540, 519, 1739, 6898, 1281, 10691, 4766, 875, 12322, 666, 4429, 2171, 1122, 344, 281, 769, 1931, 547, 2744, 519, 5021, 2640, 689, 606, 3635, 1982, 267, 596, 1058, 1331, 1312, 9025, 2866, 4429, 763, 29063, 18338, 543, 519, 2462, 3983, 18896, 616, 1806, 540, 589, 269, 4429, 2171, 1122, 344, 281, 589, 269, 25674, 16992, 267, 3197, 596, 917, 543, 2648, 689, 14070, 2984, 269, 14871, 281, 1403, 606, 2278, 4941, 547, 4429, 1103, 1931, 547, 7413, 519, 7411, 2404, 609, 5870, 10865, 4429, 2171, 1122, 344, 281, 769, 1931, 547, 7413, 519, 7411, 2404, 609, 5870, 10865, 10211, 11033, 267, 519, 7963, 3028, 5223, 1058, 4429, 3963, 616, 14656, 3790, 513, 835, 942, 13927, 888, 2171, 1122, 344, 912, 1432, 568, 3057, 11047, 639, 286, 14871, 281, 1548, 568, 737, 342, 20076, 1251, 528, 888, 2171, 1122, 344, 281, 32765, 20076, 1251, 528, 568, 513, 6689, 2068, 602, 568, 3361, 676, 3940, 22975, 269, 14871, 281, 1548, 568, 11337, 2670, 286, 14871, 281, 4429, 7617, 540, 519, 1739, 568, 1634, 547, 2333, 606, 1367, 781, 8458, 4429, 2171, 1122, 344, 281, 12128, 568, 6353, 676, 23494, 1970, 1973, 4006, 2157, 269, 8786, 267, 713, 666, 581, 3020, 827, 3987, 269, 14871, 281, 4429, 2171, 1122, 344, 853, 4428, 454, 306, 454, 32622, 476, 278, 4097, 1496, 13707, 476, 278, 4097, 316, 13158, 902, 476, 1015, 22227, 476, 277, 1691, 769, 10903, 725, 476, 273, 5510, 1467, 454, 306, 454, 32622, 476, 278, 1428, 1496, 13707, 476, 278, 1428, 316, 13158, 902, 476, 1724, 22227, 476, 276, 5952, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 32622, 476, 5038, 277, 1496, 13707, 476, 5038, 277, 316, 13158, 902, 476, 271, 22227, 476, 5038, 277, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 272, 454, 299, 454, 299, 454, 303, 454, 305, 454, 303, 454, 299, 454, 303, 454, 303, 454, 305, 454, 32622, 476, 26482, 1496, 13707, 476, 10219, 7906, 316, 13158, 902, 476, 273, 22227, 476, 29344, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 303, 454, 303, 454, 303, 454, 32622, 476, 14917, 1496, 13707, 476, 30500, 274, 316, 13158, 902, 476, 271, 22227, 476, 14917, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 32622, 476, 4343, 1496, 13707, 476, 13040, 316, 13158, 902, 476, 271, 22227, 476, 4343, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 2190, 1496, 13707, 476, 30329, 277, 316, 13158, 902, 476, 271, 22227, 476, 2190, 769, 10903, 725, 476, 271, 6732, 454, 306, 454, 32622, 476, 1321, 1496, 13707, 476, 1321, 316, 13158, 902, 476, 272, 22227, 476, 273, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 32622, 476, 1015, 1496, 13707, 476, 1015, 316, 13158, 902, 476, 272, 22227, 476, 271, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 32622, 476, 275, 1496, 13707, 476, 275, 316, 13158, 902, 476, 271, 22227, 476, 275, 769, 10903, 725, 476, 271, 5510, 1467, 454, 265, 1401, 11079, 15645, 2209, 543, 3105, 454, 7773, 2996, 630, 25147, 994, 12709, 1923, 13555, 1923, 18248, 1923, 6168, 1923, 16301, 1923, 21041, 1923, 9736, 31947, 5549, 269, 0, 427, 375, 379, 692, 2162, 4569, 27027, 692, 3041, 6630, 4569, 27027, 585, 782, 12948, 18161, 267, 290, 2401, 330, 267, 29368, 4916, 18161, 267, 305, 841, 3118, 267, 7704, 290, 267, 296, 3008, 267, 302, 3008, 1401, 4461, 692, 28095, 11277, 9202, 692, 7462, 634, 10627, 1154, 3328, 540, 476, 1789, 7961, 902, 540, 513, 524, 4459, 2678, 568, 476, 2412, 8255, 269, 3571, 5207, 6060, 20489, 1010, 9803, 6060, 676, 476, 1911, 8255, 28560, 891, 1079, 7961, 902, 616, 711, 3769, 267, 519, 3328, 540, 519, 6967, 476, 2764, 7961, 902, 568, 476, 4343, 269, 1548, 568, 519, 9803, 6060, 540, 519, 6345, 15017, 476, 272, 264, 476, 1321, 476, 273, 264, 476, 1626, 476, 274, 264, 476, 1240, 476, 275, 264, 476, 736, 476, 276, 264, 7183, 540, 891, 454, 15008, 2433, 2913, 267, 519, 5207, 543, 9803, 6060, 1109, 616, 1535, 543, 586, 6606, 563, 3383, 267, 1535, 1341, 586, 815, 630, 2412, 2473, 476, 1789, 3738, 910, 630, 2764, 2473, 476, 4343, 264, 815, 476, 15793, 1109, 28612, 630, 328, 994, 11693, 267, 1535, 3917, 815, 476, 1911, 1109, 28612, 630, 4512, 994, 11693, 267, 1535, 3917, 815, 476, 1911, 454, 3528, 6061, 267, 519, 1657, 3830, 1109, 649, 1205, 267, 1535, 284, 476, 14093, 543, 1535, 815, 476, 1240, 454, 7462, 634, 3328, 14057, 540, 476, 1626, 5520, 538, 513, 2754, 568, 12652, 269, 8517, 829, 3923, 269, 1403, 519, 9614, 779, 14057, 568, 3773, 267, 519, 3328, 14057, 2333, 676, 12652, 269, 2004, 269, 1548, 568, 519, 14057, 540, 519, 9614, 15017, 476, 272, 264, 12652, 269, 13679, 271, 476, 273, 264, 12652, 269, 1220, 271, 476, 274, 264, 12652, 269, 13301, 271, 476, 275, 264, 12652, 269, 12573, 271, 476, 276, 264, 7183, 540, 891, 454, 15008, 10778, 14112, 24408, 6396, 10778, 263, 29806, 23848, 476, 1109, 311, 9214, 1162, 10025, 264, 1341, 4505, 3328, 454, 328, 4318, 269, 630, 476, 1704, 2473, 476, 2004, 264, 1341, 476, 8517, 815, 12652, 269, 476, 13679, 271, 454, 7462, 634, 3328, 2085, 540, 476, 2004, 1053, 540, 513, 1362, 568, 476, 1626, 1296, 269, 1879, 476, 1015, 1007, 1053, 616, 15861, 267, 1287, 519, 3328, 2085, 2799, 676, 476, 271, 269, 276, 1296, 269, 1548, 568, 519, 3328, 2085, 540, 519, 1007, 1053, 15017, 476, 272, 264, 476, 1704, 1296, 476, 273, 264, 476, 1240, 1296, 476, 274, 264, 476, 866, 1296, 476, 275, 264, 476, 736, 1296, 476, 276, 264, 7183, 540, 891, 454, 15008, 2433, 634, 2698, 2085, 540, 476, 2004, 1053, 815, 476, 2004, 2473, 476, 1626, 815, 476, 8517, 586, 3464, 563, 5475, 15861, 476, 1015, 1007, 1053, 2073, 20135, 2085, 1831, 476, 2568, 2473, 476, 1626, 269, 276, 815, 476, 31275, 586, 3464, 563, 3383, 267, 2085, 540, 1007, 1053, 815, 476, 31275, 910, 8517, 815, 476, 5002, 586, 3464, 563, 13295, 267, 741, 3328, 476, 5002, 1315, 1015, 815, 476, 866, 586, 3464, 563, 7462, 634, 3328, 18820, 540, 513, 812, 585, 519, 1101, 2947, 3923, 540, 513, 1032, 568, 12652, 269, 276, 267, 1822, 543, 585, 519, 1985, 5722, 268, 3923, 568, 12652, 268, 276, 267, 6110, 269, 1261, 17990, 12652, 269, 273, 267, 4968, 1282, 519, 1032, 269, 1548, 1010, 3328, 10865, 4747, 15017, 476, 272, 264, 12652, 269, 276, 267, 28883, 476, 273, 264, 12652, 269, 276, 267, 4335, 476, 274, 264, 12652, 269, 276, 267, 4510, 277, 476, 275, 264, 12652, 269, 276, 267, 7785, 476, 276, 264, 7183, 540, 891, 454, 15008, 10778, 13707, 18820, 568, 815, 630, 20862, 876, 1341, 476, 4037, 275, 876, 264, 815, 476, 277, 2764, 876, 454, 14367, 9494, 568, 12652, 269, 476, 15996, 271, 454, 13707, 5993, 4747, 815, 476, 277, 2764, 876, 1341, 476, 15996, 271, 815, 476, 4792, 272, 876, 454, 12507, 628, 569, 4747, 815, 476, 4792, 272, 876, 21680, 476, 1321, 815, 12652, 269, 476, 276, 5655, 276, 454, 7462, 1703, 616, 930, 2937, 1053, 538, 513, 1362, 543, 741, 3328, 2085, 729, 476, 2412, 1296, 269, 1403, 476, 1321, 1007, 1053, 609, 606, 3328, 2085, 540, 476, 2004, 1296, 6443, 609, 873, 267, 741, 1007, 3328, 2085, 786, 581, 4679, 676, 476, 276, 1296, 23130, 729, 519, 3312, 4222, 540, 602, 1362, 15017, 476, 272, 264, 476, 279, 476, 273, 264, 476, 1015, 476, 274, 264, 476, 1321, 476, 275, 264, 476, 1428, 476, 276, 264, 7183, 540, 891, 454, 15008, 2433, 2913, 267, 972, 941, 1535, 1297, 540, 1053, 538, 519, 1362, 563, 11693, 602, 741, 3328, 2085, 729, 476, 2412, 586, 3464, 563, 3383, 267, 741, 2698, 2085, 729, 815, 476, 2412, 343, 586, 3464, 454, 3086, 267, 476, 1321, 1007, 1053, 6443, 609, 873, 609, 606, 3328, 2085, 540, 476, 2004, 586, 3464, 563, 10190, 267, 2698, 2085, 729, 815, 630, 1321, 1535, 476, 2004, 264, 815, 476, 7785, 586, 3464, 269, 543, 2698, 1053, 941, 1535, 266, 1321, 563, 3086, 267, 1007, 2698, 2085, 729, 815, 630, 275, 343, 1341, 476, 7785, 3738, 586, 3464, 563, 3383, 267, 630, 2412, 343, 1341, 476, 7785, 3738, 1315, 630, 343, 266, 1321, 264, 815, 476, 3393, 454, 528, 476, 3393, 343, 1341, 476, 25851, 815, 476, 2412, 343, 1341, 476, 7785, 454, 528, 476, 276, 343, 815, 476, 7785, 910, 25851, 815, 476, 2568, 454, 528, 1535, 815, 476, 2568, 270, 276, 815, 476, 1321, 454, 13295, 267, 3312, 4222, 540, 602, 1362, 729, 476, 1321, 563, 7462, 634, 3328, 2085, 540, 513, 1362, 540, 476, 1789, 1053, 568, 476, 1321, 269, 1403, 519, 4116, 568, 849, 3769, 519, 3328, 3587, 476, 1724, 1296, 269, 4855, 519, 4116, 781, 2085, 563, 476, 272, 264, 476, 4375, 1296, 476, 273, 264, 476, 2412, 1296, 476, 274, 264, 476, 4510, 1296, 476, 275, 264, 4578, 769, 1228, 12930, 476, 276, 264, 7183, 540, 891, 454, 15008, 10778, 2691, 519, 4116, 568, 3769, 972, 616, 11207, 476, 4029, 2818, 538, 519, 1362, 543, 519, 3328, 568, 2799, 676, 476, 272, 1032, 269, 901, 1797, 602, 3025, 3893, 476, 272, 3063, 1032, 1310, 26084, 519, 3063, 1296, 540, 519, 4116, 563, 3383, 267, 3063, 1296, 540, 519, 4116, 616, 607, 1246, 281, 476, 4029, 12728, 1765, 272, 284, 4029, 1296, 563, 21848, 540, 519, 4116, 815, 4890, 1285, 326, 1341, 3063, 1296, 815, 476, 1321, 1341, 476, 4029, 815, 476, 6246, 1296, 454, 21848, 540, 519, 4116, 815, 630, 1839, 1535, 476, 1428, 910, 476, 2190, 1535, 476, 1691, 264, 815, 476, 4375, 1296, 780, 7462, 1703, 941, 476, 3374, 1053, 538, 513, 3984, 601, 269, 1403, 519 ]

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

[ 1405, 798, 1134, 952, 789, 3819, 856, 269, 1358, 666, 16641, 513, 16854, 2039, 540, 5210, 269, 1160, 28648, 5328, 2281, 616, 3335, 1360, 1507, 267, 609, 741, 5603, 4394, 6027, 538, 8020, 6425, 269, 8307, 519, 4102, 666, 581, 2938, 1510, 519, 5351, 540, 513, 17209, 269, 0, 3528, 519, 1439, 540, 476, 1001, 276, 267, 519, 12176, 540, 519, 24954, 3644, 1185, 10645, 476, 1556, 267, 25628, 2729, 2066, 8644, 4997, 267, 19892, 267, 23683, 2274, 821, 267, 13280, 267, 519, 2475, 267, 543, 5689, 328, 269, 15332, 519, 2123, 32333, 543, 519, 10969, 566, 540, 2950, 3361, 676, 519, 12176, 267, 24192, 616, 12719, 519, 9962, 2804, 3500, 6658, 602, 4299, 519, 2898, 3148, 563, 8170, 519, 476, 1626, 2477, 538, 4639, 4000, 267, 1152, 2947, 941, 2047, 4299, 676, 519, 24954, 3644, 269, 11048, 267, 12194, 540, 519, 3644, 10825, 8507, 538, 3441, 547, 519, 24756, 543, 3560, 9922, 267, 607, 5375, 2923, 14578, 5219, 547, 519, 24954, 15435, 607, 513, 968, 26156, 3979, 2108, 12176, 269, 8729, 547, 29071, 1369, 519, 9483, 7991, 540, 4639, 3979, 2276, 630, 4488, 8582, 3008, 1070, 972, 568, 7361, 1863, 543, 796, 574, 6244, 539, 3350, 540, 1004, 543, 5370, 2066, 519, 24338, 10665, 538, 519, 1016, 15696, 542, 563, 10214, 1354, 519, 3644, 6603, 13280, 267, 519, 552, 19645, 2872, 729, 8989, 6825, 2208, 269, 21824, 540, 32296, 519, 3644, 998, 1480, 3346, 5921, 602, 1346, 14221, 827, 11544, 609, 1804, 2516, 540, 1004, 538, 2706, 5658, 1115, 3366, 547, 513, 2208, 538, 2228, 16306, 269, 4653, 267, 930, 8044, 602, 835, 540, 519, 811, 8966, 4128, 585, 519, 1967, 540, 30645, 552, 19645, 729, 519, 1455, 4250, 540, 24931, 24954, 563, 2026, 519, 15435, 3262, 267, 4639, 3979, 2477, 602, 3984, 1713, 2338, 540, 1163, 27074, 622, 4600, 538, 2565, 9922, 540, 519, 4346, 14754, 513, 2527, 3350, 540, 30707, 1394, 547, 741, 1753, 2477, 267, 609, 1082, 1163, 1846, 693, 2547, 1528, 532, 547, 6494, 741, 1453, 547, 741, 4182, 540, 5169, 269, 634, 4617, 3782, 5989, 540, 1034, 2477, 538, 519, 3148, 1705, 711, 8300, 1390, 2614, 6015, 1851, 519, 1163, 27074, 622, 2551, 547, 2611, 267, 609, 930, 2518, 3549, 17355, 15070, 1875, 268, 24207, 4914, 10986, 607, 513, 2339, 540, 3609, 585, 519, 2898, 3148, 563, 294, 327, 3570, 1185, 1044, 10294, 24954, 1863, 267, 2943, 621, 1869, 14754, 1163, 27074, 919, 6028, 543, 513, 3500, 6658, 538, 9235, 269, 12182, 1564, 543, 10554, 31508, 1336, 602, 3486, 19014, 16516, 547, 1491, 1747, 538, 519, 2197, 1185, 547, 581, 27185, 19861, 896, 519, 19168, 1014, 2229, 779, 1463, 633, 602, 1100, 3486, 11018, 1491, 1747, 538, 519, 2197, 585, 519, 1614, 3275, 3056, 909, 547, 5412, 476, 1001, 275, 269, 634, 24756, 2872, 729, 5734, 2182, 267, 607, 15678, 4055, 5003, 3599, 3928, 8593, 689, 476, 3583, 260, 547, 476, 2004, 10065, 19846, 660, 661, 321, 345, 656, 540, 519, 918, 11391, 1231, 7288, 23392, 7150, 267, 968, 763, 1870, 19773, 1631, 5654, 513, 2603, 1732, 982, 621, 1705, 538, 476, 1001, 275, 1282, 519, 24954, 12176, 267, 799, 4299, 1870, 11874, 31422, 454, 8138, 6062, 6452, 611, 6045, 968, 2171, 1496, 294, 327, 3570, 316, 1185, 3983, 9939, 609, 519, 24954, 12176, 267, 543, 19890, 594, 16620, 519, 2923, 585, 602, 1317, 1082, 1004, 941, 19225, 2989, 2476, 689, 24954, 6954, 19168, 267, 607, 519, 3377, 1224, 2048, 26156, 4000, 9957, 2108, 454, 763, 2229, 729, 14942, 543, 2322, 538, 1747, 513, 2039, 540, 6127, 547, 2327, 602, 621, 17477, 922, 24954, 1863, 4567, 267, 22867, 1269, 273, 269, 1240, 2929, 630, 294, 18449, 278, 2929, 264, 547, 4339, 519, 14686, 3644, 269, 6736, 713, 267, 950, 519, 6167, 15527, 676, 4259, 909, 519, 1101, 268, 1197, 6167, 5692, 585, 513, 1857, 1072, 6595, 267, 6167, 10933, 2207, 267, 6452, 571, 8067, 1229, 547, 3984, 519, 5692, 269, 634, 3119, 4305, 540, 519, 1007, 8116, 729, 547, 11282, 519, 6167, 5692, 779, 5318, 2200, 547, 8396, 519, 15435, 896, 519, 2930, 5718, 540, 519, 14959, 563, 763, 3375, 3361, 513, 1390, 2179, 540, 11552, 848, 267, 855, 3366, 547, 513, 2631, 540, 17604, 1851, 519, 3148, 267, 609, 5518, 10067, 4821, 5128, 9683, 8644, 4997, 267, 23683, 2274, 821, 267, 543, 19892, 547, 2285, 873, 519, 27907, 5818, 15029, 9306, 930, 8323, 3688, 547, 891, 2477, 563, 292, 19096, 12194, 849, 8697, 519, 2702, 540, 19168, 2103, 547, 2951, 269, 26673, 20891, 13660, 623, 872, 345, 267, 13474, 15440, 540, 2506, 29521, 267, 6045, 875, 646, 1185, 2938, 2665, 540, 1471, 553, 2921, 3476, 547, 1184, 269, 968, 763, 19168, 1014, 1780, 1636, 729, 18604, 676, 519, 24954, 12176, 282, 1141, 621, 1131, 7363, 1491, 1614, 547, 2185, 2395, 585, 513, 31705, 547, 581, 4607, 267, 649, 4718, 1806, 540, 519, 1184, 2921, 476, 2641, 2395, 585, 1471, 553, 547, 581, 5950, 31422, 10738, 519, 3148, 267, 13280, 779, 4102, 6469, 543, 6237, 29617, 267, 589, 20891, 5794, 267, 666, 576, 1194, 19426, 547, 19892, 267, 8644, 4997, 267, 543, 23683, 2274, 821, 269, 589, 20891, 5794, 849, 11074, 19426, 547, 717, 25995, 543, 23759, 3019, 1739, 8473, 9993, 689, 1346, 2477, 269, 3509, 3549, 941, 9561, 8907, 1317, 540, 666, 576, 1194, 3232, 19426, 8220, 19168, 609, 6154, 564, 1144, 543, 519, 8220, 19426, 547, 3933, 549, 16129, 543, 14465, 329, 592, 269, 769, 606, 12600, 5967, 609, 19505, 312, 267, 16628, 540, 13642, 26054, 7767, 906, 590, 1481, 5548, 548, 5941, 875, 646, 2808, 1010, 2754, 18822, 538, 9319, 24954, 269, 13642, 26054, 1185, 4566, 547, 4228, 922, 3782, 19190, 883, 8644, 4997, 1354, 519, 12176, 267, 4566, 799, 1185, 547, 581, 2322, 593, 3180, 269, 6736, 519, 5230, 543, 5571, 17167, 3144, 676, 24954, 267, 519, 6433, 2813, 606, 4316, 269, 13642, 26054, 7767, 906, 19443, 609, 606, 813, 1572, 968, 300, 10890, 267, 2108, 799, 729, 1883, 538, 4543, 2270, 519, 3644, 269, 13280, 11124, 1175, 5216, 7972, 1813, 547, 519, 3644, 267, 513, 1507, 4137, 3379, 547, 476, 275, 267, 3199, 280, 538, 8644, 4997, 269, 30645, 1072, 8387, 14487, 519, 1967, 538, 5627, 519, 3644, 547, 519, 3728, 2792, 543, 8216, 9477, 1500, 2009, 676, 519, 946, 540, 5985, 6049, 2029, 269, 4340, 547, 519, 24954, 17073, 20491, 10418, 538, 20698, 657, 267, 2564, 10492, 1210, 519, 631, 10890, 813, 4389, 519, 8989, 942, 540, 2665, 540, 519, 3644, 689, 476, 1321, 3108, 547, 3670, 3108, 563, 763, 2698, 1297, 540, 4080, 2665, 568, 6059, 693, 476, 2764, 267, 277, 4391, 269, 1809, 593, 5130, 476, 1724, 267, 476, 1001, 277, 267, 519, 2622, 2657, 9257, 10294, 519, 2063, 540, 519, 2477, 4299, 267, 8644, 4997, 267, 547, 581, 13166, 24954, 1863, 269, 634, 3790, 723, 2943, 547, 581, 2698, 539, 267, 855, 2687, 547, 519, 6167, 4886, 6828, 267, 4639, 4000, 607, 513, 2898, 1223, 6336, 606, 3328, 540, 693, 2547, 1269, 274, 269, 277, 5479, 829, 1032, 1063, 476, 1001, 275, 543, 476, 1001, 278, 1813, 547, 513, 6175, 538, 4123, 267, 14656, 540, 10665, 267, 8184, 23545, 725, 267, 4389, 674, 14888, 267, 543, 20158, 9235, 2534, 269, 0, 1015, 12292, 2334, 14970, 538, 9031, 910, 2622, 4263, 20393, 454, 1789, 270, 278, 270, 1001, 280, 6440, 32038, 531, 267, 849, 1634, 607, 715, 4768, 267, 568, 513, 23820, 268, 656, 601, 2100, 6805, 547, 519, 1164, 22615, 28569, 540, 9031, 267, 17230, 267, 13225, 27175, 267, 18310, 267, 543, 3127, 269, 634, 5256, 32038, 1023, 616, 3677, 982, 519, 521, 609, 741, 1560, 2597, 8151, 689, 476, 6507, 547, 476, 13679, 6550, 269, 4256, 5021, 1560, 7146, 268, 3650, 3259, 568, 476, 4792, 6279, 269, 634, 10878, 2720, 723, 513, 476, 278, 269, 280, 10759, 1279, 2766, 269, 0, 18933, 3424, 568, 513, 3728, 5752, 1893, 585, 9367, 269, 898, 7472, 1164, 7779, 3977, 585, 1585, 5867, 269, 898, 2636, 10912, 2199, 3252, 676, 2012, 2864, 982, 6724, 610, 4632, 563, 7072, 547, 27997, 454, 18933, 3424, 568, 513, 3532, 543, 16022, 5752, 1893, 585, 25515, 267, 5672, 5308, 267, 4585, 5308, 267, 543, 26725, 5308, 269, 898, 729, 2919, 676, 11197, 5549, 269, 543, 729, 5189, 538, 476, 1001, 275, 269, 27997, 568, 2966, 547, 581, 2653, 547, 1224, 543, 2328, 267, 543, 621, 568, 5497, 547, 581, 10930, 982, 20638, 4211, 267, 519, 1893, 621, 8719, 563, 2414, 1205, 3323, 609, 27997, 267, 596, 786, 991, 513, 5839, 609, 519, 5767, 4528, 540, 2473, 13892, 8704, 269, 2473, 13892, 568, 513, 1646, 1604, 602, 3568, 782, 540, 519, 2645, 596, 991, 547, 1711, 8924, 585, 11197, 5867, 269, 4495, 596, 723, 2473, 13892, 8704, 267, 596, 666, 1711, 513, 1007, 1788, 543, 1376, 1603, 27997, 3009, 563, 29619, 540, 27997, 5678, 17972, 454, 1103, 27997, 267, 596, 666, 946, 4632, 543, 21635, 547, 4558, 2418, 267, 17787, 547, 10956, 3009, 7161, 267, 543, 1852, 2095, 6898, 547, 14892, 3009, 1759, 593, 1978, 2175, 269, 27997, 849, 3091, 4359, 2934, 971, 607, 18593, 11006, 267, 7014, 15129, 5752, 267, 543, 1252, 923, 269, 634, 1893, 7028, 1585, 1239, 2010, 1519, 12673, 267, 2338, 267, 543, 10070, 267, 799, 666, 581, 14249, 267, 5036, 267, 610, 21594, 269, 5899, 902, 2099, 1257, 543, 666, 581, 26203, 1210, 2409, 267, 1247, 2338, 2099, 10230, 2418, 543, 666, 581, 9981, 267, 13735, 15304, 2418, 267, 610, 1950, 2338, 269, 26888, 4558, 2789, 2418, 538, 513, 2582, 4756, 563, 15371, 707, 2319, 568, 17808, 610, 2436, 596, 1616, 547, 2087, 707, 813, 454, 31141, 1184, 267, 649, 666, 948, 2336, 24445, 721, 281, 1341, 4029, 476, 25616, 476, 25320, 476, 26493, 454, 10387, 841, 721, 281, 18078, 17106, 11333, 3820, 0, 10059, 2517, 4178, 4732, 332, 327, 2593, 28898, 268, 3528, 8861, 7137, 787, 454, 4692, 649, 2490, 1394, 519, 9219, 540, 30333, 286, 12207, 616, 3843, 547, 5861, 13072, 281, 7476, 1399, 454, 268, 589, 1007, 1353, 2337, 547, 6961, 519, 3069, 602, 27981, 7497, 267, 711, 1175, 5027, 3441, 267, 11479, 30333, 563, 268, 9521, 5027, 3441, 267, 27981, 2045, 2242, 666, 5732, 581, 20328, 563, 268, 769, 519, 1007, 1957, 267, 3744, 941, 2111, 547, 13148, 2490, 1394, 519, 6211, 23234, 538, 2789, 8219, 267, 1519, 519, 4064, 267, 540, 8983, 563, 268, 901, 1826, 540, 6304, 6585, 9153, 607, 513, 6098, 3797, 585, 1978, 2085, 5829, 3676, 267, 855, 519, 1655, 1259, 547, 3251, 1762, 543, 2635, 568, 1434, 2732, 267, 3635, 267, 3207, 267, 4189, 1447, 543, 9319, 3141, 3441, 563, 1103, 519, 3406, 585, 18163, 6107, 267, 620, 17057, 1235, 267, 4012, 5974, 543, 3744, 723, 6836, 621, 782, 269, 3767, 513, 1007, 1353, 814, 1336, 602, 519, 2281, 538, 938, 4703, 666, 581, 6450, 2393, 539, 543, 519, 30333, 1184, 666, 5732, 581, 20328, 563, 2005, 729, 2899, 5156, 602, 30333, 729, 519, 1267, 540, 5027, 3441, 602, 649, 18645, 936, 938, 3076, 564, 1307, 267, 543, 602, 713, 3441, 568, 18965, 676, 7296, 267, 4598, 547, 5533, 267, 1932, 1454, 3141, 543, 4057, 2732, 563, 10190, 267, 538, 476, 3422, 273, 267, 513, 3703, 10196, 267, 3627, 717, 6324, 517, 1705, 513, 3126, 540, 6901, 609, 20883, 538, 799, 646, 3576, 856, 5027, 689, 513, 13855, 779, 4212, 543, 8719, 621, 609, 5027, 689, 513, 9921, 1591, 269, 1403, 519, 3069, 827, 30333, 543, 19017, 5027, 3441, 729, 3020, 267, 11093, 9921, 5027, 538, 606, 4212, 1131, 3132, 606, 2025, 13855, 269, 1809, 621, 4769, 1406, 269, 634, 8800, 540, 519, 9907, 1591, 4769, 1406, 2408, 547, 581, 519, 1966, 269, 634, 20883, 602, 11058, 3481, 941, 9985, 3339, 543, 2635, 563, 2005, 6700, 602, 972, 729, 1945, 13735, 1472, 3330, 519, 4212, 1591, 799, 1185, 519, 2702, 547, 1065, 5766, 1090, 602, 2025, 5027, 1107, 9337, 922, 3301, 1107, 543, 1118, 621, 1762, 1586, 563, 8993, 1005, 856, 1018, 602, 1945, 729, 1131, 1491, 1776, 476, 2004, 1296, 269, 769, 476, 1220, 277, 267, 5545, 11001, 1744, 4176, 320, 962, 16120, 10440, 4362, 519, 2185, 6090, 630, 5308, 298, 300, 264, 1107, 15217, 1634, 607, 962, 16120, 10440, 2188, 1107, 602, 1223, 2312, 519, 1793, 622, 540, 30333, 538, 513, 9921, 1591, 267, 13059, 621, 547, 922, 25782, 1533, 563, 7712, 1287, 267, 3173, 6836, 10941, 532, 519, 30333, 1184, 538, 2831, 3842, 1065, 5766, 1090, 2719, 519, 5444, 4082, 1107, 519, 1259, 6090 ]

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

[ 272, 5400, 692, 6262, 264, 9717, 476, 28670, 6398, 476, 1911, 279, 692, 284, 476, 28670, 6398, 630, 1911, 271, 1341, 476, 279, 2020, 284, 476, 28670, 6398, 476, 1911, 271, 1341, 476, 28670, 6398, 476, 279, 630, 6748, 2733, 5737, 3959, 2020, 284, 476, 28670, 1822, 1341, 476, 18684, 275, 692, 284, 476, 18605, 271, 5038, 692, 5560, 264, 9717, 476, 1911, 276, 6398, 476, 12739, 692, 284, 630, 1911, 271, 1341, 476, 276, 264, 6398, 476, 12739, 692, 284, 476, 1911, 271, 6398, 476, 12739, 1341, 476, 276, 6398, 476, 12739, 630, 6748, 2733, 5737, 3959, 2020, 284, 476, 12739, 1822, 1341, 476, 279, 2412, 692, 284, 476, 12739, 279, 2412, 692, 276, 269, 589, 3454, 328, 9920, 4904, 1010, 1286, 4620, 1503, 7382, 609, 476, 2412, 20990, 540, 4620, 1503, 593, 11728, 269, 634, 1985, 1554, 267, 646, 4904, 519, 7382, 609, 476, 2004, 20990, 540, 4620, 1503, 269, 1403, 4620, 1503, 3790, 19238, 373, 476, 4510, 829, 2148, 267, 875, 1454, 1705, 646, 6108, 538, 782, 593, 4620, 1503, 2496, 22069, 1903, 1384, 30821, 1503, 7274, 4904, 593, 11728, 815, 476, 2412, 30184, 692, 30821, 1503, 7274, 4904, 593, 13638, 815, 476, 2004, 30184, 692, 13707, 4620, 1503, 7274, 4904, 815, 630, 2412, 1341, 476, 2004, 264, 1396, 516, 692, 21798, 540, 4620, 1503, 829, 1396, 516, 815, 19238, 373, 476, 4510, 692, 13707, 2724, 6170, 815, 476, 4510, 6398, 630, 2412, 1341, 476, 2004, 2020, 284, 476, 4510, 6398, 476, 3445, 692, 284, 19238, 373, 476, 31256, 271, 692, 277, 269, 589, 29449, 7727, 476, 3953, 20990, 540, 5144, 547, 513, 15678, 538, 519, 6640, 543, 476, 6924, 20990, 540, 5144, 538, 519, 10543, 269, 1403, 519, 5144, 3790, 19238, 373, 476, 3393, 829, 2148, 267, 875, 1454, 2724, 568, 1813, 547, 519, 29449, 829, 1554, 2496, 22069, 1903, 1384, 300, 20488, 7274, 13859, 538, 519, 6640, 815, 476, 3953, 20990, 692, 300, 20488, 7274, 13859, 538, 519, 10543, 815, 476, 6924, 20990, 692, 21798, 540, 5144, 829, 2148, 815, 19238, 373, 476, 3393, 692, 13707, 1942, 540, 5144, 829, 1554, 815, 476, 3393, 6398, 630, 3953, 1341, 476, 6924, 2020, 284, 476, 3393, 6398, 476, 1911, 692, 284, 19238, 373, 476, 14596, 271, 692, 17798, 267, 519, 2724, 568, 1813, 547, 519, 29449, 829, 1554, 568, 19238, 373, 476, 14596, 271, 692, 278, 269, 26969, 519, 1739, 1384, 9217, 264, 476, 28883, 6398, 476, 15793, 815, 476, 28883, 6398, 630, 277, 1341, 476, 1789, 1341, 476, 1911, 264, 630, 320, 264, 2155, 583, 18356, 896, 8691, 780, 23870, 264, 476, 273, 6398, 476, 5392, 6398, 476, 2004, 815, 476, 273, 6398, 476, 2004, 6398, 476, 5392, 630, 321, 264, 2155, 583, 18356, 896, 1840, 780, 31702, 264, 476, 3199, 1341, 476, 1220, 276, 1341, 476, 736, 815, 476, 3199, 1341, 476, 736, 1341, 476, 1220, 276, 630, 322, 264, 20518, 583, 2032, 540, 8691, 936, 1840, 780, 22069, 1903, 1384, 9217, 264, 1109, 28883, 6398, 476, 15793, 815, 476, 28883, 6398, 630, 277, 1341, 476, 1789, 1341, 476, 1911, 264, 630, 322, 264, 20518, 583, 2032, 540, 8691, 936, 1840, 780, 17798, 630, 322, 264, 568, 519, 2953, 2626, 692, 23870, 264, 476, 273, 6398, 476, 5392, 6398, 476, 2004, 815, 476, 273, 6398, 476, 2004, 6398, 476, 5392, 630, 320, 264, 2155, 583, 18356, 896, 8691, 692, 17798, 267, 630, 320, 264, 568, 519, 2953, 2626, 692, 31702, 264, 476, 3199, 1341, 476, 1220, 276, 1341, 476, 736, 815, 476, 3199, 1341, 476, 736, 1341, 476, 1220, 276, 630, 321, 264, 2155, 583, 18356, 896, 1840, 692, 17798, 267, 630, 321, 264, 568, 519, 2953, 2626, 692, 1012, 11644, 476, 273, 269, 274, 692, 272, 269, 6904, 540, 519, 1739, 786, 711, 2099, 4642, 1384, 5416, 264, 476, 272, 1341, 476, 271, 692, 6357, 264, 476, 271, 6398, 476, 271, 692, 6262, 264, 476, 271, 1315, 476, 273, 692, 5560, 264, 630, 1015, 1107, 476, 1015, 264, 1315, 476, 273, 692, 22069, 1903, 1384, 5416, 264, 476, 272, 1341, 476, 271, 815, 476, 272, 692, 17798, 267, 621, 1281, 711, 2099, 4642, 692, 6357, 264, 476, 271, 6398, 476, 271, 815, 476, 271, 692, 17798, 267, 621, 4564, 4642, 692, 6262, 264, 476, 271, 1315, 476, 273, 815, 476, 271, 692, 17798, 267, 621, 4564, 4642, 692, 5560, 264, 630, 1015, 1107, 476, 1015, 264, 1315, 476, 273, 815, 476, 271, 1315, 476, 273, 815, 476, 271, 692, 17798, 267, 621, 4564, 4642, 692, 273, 269, 1403, 519, 1587, 540, 1079, 2898, 2338, 568, 4642, 267, 666, 649, 2161, 602, 835, 610, 1312, 540, 873, 786, 581, 4642, 286, 3807, 1518, 998, 1806, 780, 22069, 1903, 1384, 2252, 519, 1587, 540, 1079, 2898, 2338, 568, 4642, 267, 9090, 835, 540, 873, 568, 4642, 692, 7078, 281, 476, 271, 6398, 476, 274, 815, 476, 271, 543, 476, 1428, 6398, 476, 271, 815, 476, 271, 692, 2252, 519, 1587, 540, 1079, 2898, 2338, 568, 4642, 267, 1312, 540, 873, 949, 581, 4642, 692, 7078, 281, 476, 271, 6398, 476, 271, 815, 476, 271, 692, 8133, 267, 952, 519, 1587, 540, 1079, 2898, 2338, 568, 4642, 267, 1287, 1312, 540, 873, 786, 581, 4642, 692, 274, 269, 1403, 519, 1587, 540, 1079, 2898, 2338, 568, 476, 272, 267, 666, 649, 2161, 602, 835, 610, 1312, 540, 873, 786, 581, 476, 272, 286, 3807, 1518, 998, 1806, 780, 22069, 1903, 1384, 2252, 519, 1587, 540, 1079, 2898, 2338, 568, 476, 272, 267, 1312, 519, 2338, 1058, 581, 3160, 547, 476, 272, 692, 7078, 281, 476, 272, 6398, 476, 272, 815, 476, 272, 692, 3719, 476, 272, 6398, 476, 276, 815, 476, 276, 692, 17798, 267, 621, 779, 2312, 602, 519, 1587, 540, 1079, 2898, 2338, 786, 581, 476, 272, 267, 1152, 538, 519, 3510, 950, 1312, 2338, 547, 581, 16611, 616, 476, 272, 692, 275, 269, 4855, 1210, 2733, 5737, 3959, 1384, 5416, 264, 476, 278, 2764, 6398, 476, 6200, 692, 6357, 264, 476, 276, 6246, 278, 6398, 476, 1911, 272, 692, 6262, 264, 476, 279, 2190, 6398, 476, 1839, 692, 5560, 264, 476, 275, 2767, 276, 6398, 476, 10219, 692, 16216, 264, 476, 27843, 6398, 476, 3374, 692, 22069, 1903, 1384, 5416, 264, 9717, 476, 278, 2764, 6398, 476, 6200, 692, 278, 2764, 6398, 630, 1911, 1341, 476, 272, 2020, 284, 476, 278, 2764, 6398, 476, 1911, 1341, 476, 278, 2764, 6398, 476, 272, 692, 284, 476, 278, 2764, 876, 1341, 476, 278, 2764, 692, 284, 476, 278, 3374, 2764, 692, 6357, 264, 9717, 476, 276, 6246, 278, 6398, 476, 1911, 272, 692, 284, 476, 276, 6246, 278, 6398, 630, 1911, 271, 1341, 476, 272, 2020, 284, 476, 276, 6246, 278, 6398, 476, 1911, 271, 1341, 476, 276, 6246, 278, 6398, 476, 272, 692, 284, 476, 276, 6246, 10384, 271, 1341, 476, 276, 6246, 278, 692, 284, 476, 276, 4510, 25838, 278, 692, 6262, 264, 9717, 476, 279, 2190, 6398, 476, 1839, 692, 284, 630, 8517, 1341, 476, 2190, 264, 6398, 476, 1839, 692, 284, 630, 8517, 1341, 476, 1839, 1107, 476, 272, 264, 6398, 476, 1839, 692, 284, 476, 8517, 6398, 476, 1839, 1341, 476, 1839, 6398, 476, 1839, 1107, 476, 272, 6398, 476, 1839, 692, 284, 476, 1220, 876, 1341, 476, 27698, 1107, 476, 1839, 692, 284, 476, 1220, 876, 1341, 476, 7785, 692, 284, 476, 18684, 876, 692, 5560, 264, 9717, 476, 275, 2767, 276, 6398, 476, 10219, 692, 284, 630, 6110, 271, 1341, 476, 1220, 1341, 476, 1911, 1107, 476, 1839, 264, 6398, 476, 10219, 692, 284, 630, 6110, 271, 6398, 476, 10219, 1341, 476, 1220, 6398, 476, 10219, 1341, 476, 1911, 6398, 476, 10219, 1107, 476, 1839, 6398, 476, 10219, 2020, 284, 476, 4335, 1822, 1341, 476, 7742, 876, 1341, 476, 10219, 876, 1107, 476, 24374, 276, 692, 284, 476, 276, 4097, 23841, 692, 16216, 264, 9717, 476, 27843, 6398, 476, 3374, 692, 284, 630, 4335, 1341, 476, 275, 264, 6398, 476, 3374, 692, 284, 476, 4335, 6398, 476, 3374, 1341, 476, 275, 6398, 476, 3374, 692, 284, 476, 11260, 876, 1341, 476, 9610, 692, 284, 476, 12293, 2412, 692, 276, 269, 5530, 519, 4806, 1384, 272, 6398, 476, 279, 1341, 476, 272, 815, 476, 280, 476, 11277, 275, 6398, 476, 279, 1341, 476, 275, 815, 476, 7176, 278, 277, 692, 1321, 6398, 476, 279, 1341, 476, 273, 815, 476, 7176, 476, 11277, 3393, 6398, 476, 279, 1341, 476, 276, 815, 476, 7176, 278, 4792, 692, 11277, 6398, 476, 279, 1341, 476, 274, 815, 476, 7176, 278, 692, 2237, 519, 1985, 1079, 3268, 269, 2052, 596, 2161, 875, 519, 4806, 1568, 2496, 263, 295, 842, 281, 476, 11277, 3393, 815, 476, 9340, 1556, 1341, 476, 9340, 272, 1341, 476, 9340, 1341, 476, 1556, 1341, 476, 272, 2020, 22069, 1903, 1384, 11277, 27174, 6398, 476, 279, 1341, 476, 277, 815, 476, 7176, 278, 4792, 275, 692, 11277, 27174, 278, 6398, 476, 279, 1341, 476, 278, 815, 476, 7176, 278, 4792, 275, 274, 692, 11693, 476, 11277, 27174, 815, 630, 9340, 9340, 1341, 476, 9340, 1556, 1341, 476, 9340, 272, 1341, 476, 9340, 1341, 476, 1556, 1341, 476, 272, 2020, 11277, 27174, 6398, 476, 279, 815, 630, 9340, 9340, 1341, 476, 9340, 1556, 1341, 476, 9340, 272, 1341, 476, 9340, 1341, 476, 1556, 1341, 476, 272, 264, 6398, 476, 279, 692, 284, 476, 9340, 9340, 6398, 476, 279, 1341, 476, 9340, 1556, 6398, 476, 279, 1341, 476, 9340, 272, 6398, 476, 279, 1341, 476, 9340, 6398, 476, 279, 1341, 476, 1556, 6398, 476, 279, 1341, 476, 272, 6398, 476, 279, 692, 284, 476, 31229, 31229, 1341, 476, 31229, 6434, 1341, 476, 31229, 279, 1341, 476, 31229, 1341, 476, 6434, 1341, 476, 279, 692, 284, 476, 7176, 278, 277, 4366, 692, 11277, 27174, 6398, 476, 279, 1341, 476, 277, 815, 476, 7176, 278, 277, 4366, 1341, 476, 277, 692, 284, 476, 7176, 278, 4792, 275, 692, 8133, 267, 1934, 519, 4806, 1568, 692, 11277, 27174, 278, 6398, 476, 279, 1341, 476, 278, 815, 476, 7176, 278, 4792, 275, 274, 692, 11693, 476, 11277, 27174, 278, 815, 630, 9340, 9340, 272, 1341, 476, 9340, 9340, 1341, 476, 9340, 1556, 1341, 476, 9340, 272, 1341, 476, 9340, 1341, 476, 1556, 1341, 476, 272, 2020, 11277, 27174, 278, 6398, 476, 279, 815, 630, 9340, 9340, 272, 1341, 476, 9340, 9340, 1341, 476, 9340, 1556, 1341, 476, 9340, 272, 1341, 476, 9340, 1341, 476, 1556, 1341, 476, 272, 264, 6398, 476, 279, 692, 284, 476, 9340, 9340, 272, 6398, 476, 279, 1341, 476, 9340, 9340, 6398, 476, 279, 1341, 476, 9340, 1556, 6398, 476, 279, 1341, 476, 9340, 272, 6398, 476, 279, 1341, 476, 9340, 6398, 476, 279, 1341, 476, 1556, 6398, 476, 279, 1341, 476, 272, 6398, 476, 279, 692, 284, 476, 31229, 31229, 279, 1341, 476, 31229, 31229, 1341, 476, 31229, 6434, 1341, 476, 31229, 279, 1341, 476, 31229, 1341, 476, 6434, 1341, 476, 279, 692, 284, 476, 7176, 278, 4792, 274, 277, 692, 11277, 27174, 278, 6398, 476, 279, 1341, 476, 278, 815, 476, 7176, 278, 4792, 274, 277, 1341, 476, 278, 692, 284, 476, 7176, 278, 4792, 275, 274, 692, 8133, 267, 1934, 519, 4806, 1568, 692, 1892, 3848, 476, 272, 18833, 938, 10606, 454, 1892, 3848, 476, 273, 19940, 10606, 454, 1892, 3848, 476, 274, 29892, 2060, 10606, 454, 1892, 3848, 476, 275, 9978, 2983, 2210, 3740, 14313, 454, 1892, 3848, 476, 276, 4197, 16504, 25609, 454, 1892, 3848, 476, 277, 6715, 619, 454, 1892, 3848, 476, 278, 17773, 454, 1892, 3848, 476, 279, 31353, 454, 1892, 3848, 476, 280, 4578, 30047, 454, 1892, 3848, 476, 1015, 20970, 1656, 631, 839, 4851, 454, 1892, 3848, 476, 1556, 10789, 454, 1892, 3848, 476, 1321, 22472, 1160, 15251, 454, 1892, 3848, 476, 1724, 4985, 1677, 6641, 11496, 454, 1892, 3848, 476, 1691, 19750, 16387, 13335, 692, 296, 4126, 596, 899, 519, 1344, 543, 4967, 2016, 676, 721, 269, 901, 786, 948, 596, 513, 2603, 538, 707, 14232, 11400, 269, 3371, 649, 616, 4758, 562, 32662, 3435, 547, 782, 540, 596, 1053, 267, 998, 799, 782, 540, 596, 666, 6060, 1360, 1134, 538, 707, 11400, 269, 769, 713, 2022, 267, 649, 616, 4758, 596, 562, 32662, 3435, 585, 1362, 476, 277, 13004, 269, 4126, 596, 4324, 689, 621, 269, 1411, 666, 4647, 519, 7824, 3758, 540, 713, 562, 32662, 3435, 269, 0, 258, 570, 582, 958, 21136, 21723, 692, 272, 269, 4239, 476, 1321 ]

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

[ 798, 649, 979, 998, 782, 519, 8373, 547, 1397, 519, 14249, 585, 519, 8691, 5013, 286, 4208, 711, 1175, 3274, 27655, 543, 581, 2944, 609, 621, 286, 1924, 1419, 544, 26937, 9582, 616, 1031, 547, 968, 15276, 892, 609, 519, 8357, 1436, 1184, 269, 631, 26937, 9582, 616, 513, 1650, 610, 22565, 1031, 547, 4217, 19551, 1945, 269, 589, 1134, 8153, 1383, 568, 20858, 717, 269, 645, 643, 267, 519, 544, 26937, 4577, 585, 519, 5311, 540, 22774, 4778, 281, 2699, 267, 10538, 267, 5835, 267, 3039, 267, 4544, 267, 967, 15282, 543, 642, 14489, 563, 23744, 267, 950, 1210, 544, 26937, 9582, 585, 2979, 5013, 267, 519, 5013, 616, 6026, 14350, 543, 1419, 1510, 513, 2979, 5133, 269, 634, 3347, 1063, 519, 5013, 616, 7508, 269, 1280, 1383, 267, 519, 544, 26937, 9582, 1522, 581, 513, 476, 1626, 4458, 6040, 3478, 741, 9920, 779, 12689, 865, 789, 666, 5397, 513, 476, 275, 9943, 275, 6174, 269, 901, 1287, 19595, 721, 602, 476, 275, 6398, 476, 275, 815, 476, 1626, 269, 4270, 267, 538, 3162, 21241, 267, 1453, 666, 1205, 741, 12689, 693, 2085, 476, 1691, 269, 1924, 1281, 602, 1611, 602, 476, 275, 6398, 476, 275, 815, 476, 1691, 538, 3162, 21241, 286, 1656, 538, 1715, 14948, 267, 476, 275, 6398, 476, 275, 815, 476, 1704, 286, 1656, 875, 1281, 476, 275, 6398, 476, 275, 9305, 547, 476, 275, 6398, 476, 276, 286, 898, 779, 1175, 1776, 968, 32143, 892, 547, 3314, 267, 2864, 982, 476, 1626, 7132, 476, 275, 811, 610, 476, 273, 6398, 476, 276, 23060, 568, 476, 736, 563, 2171, 1616, 938, 1453, 547, 1174, 256, 1879, 513, 1249, 568, 3274, 8357, 1242, 543, 711, 6956, 267, 621, 779, 899, 973, 1746, 513, 6648, 610, 8360, 538, 1776, 1893, 1510, 6616, 1018, 519, 1913, 1611, 269, 17610, 267, 621, 1522, 581, 973, 1243, 9985, 267, 855, 952, 972, 779, 1100, 1620, 267, 1018, 779, 519, 946, 286, 12213, 543, 3020, 1565, 3340, 1620, 540, 519, 3347, 538, 543, 1472, 519, 4121, 1344, 269, 1656, 602, 779, 1946, 649, 1376, 938, 7820, 1453, 538, 8691, 19692, 982, 2663, 269, 8729, 585, 519, 2243, 267, 20388, 320, 256, 0, 1432, 568, 7486, 888, 295, 4353, 6763, 585, 2048, 16058, 6375, 32759, 3644, 9957, 898, 779, 606, 3968, 3361, 676, 513, 3644, 602, 6285, 519, 1560, 779, 4761, 1062, 269, 898, 779, 1034, 4122, 10299, 676, 2348, 3023, 1510, 513, 598, 3256, 269, 28298, 666, 849, 4755, 689, 3993, 547, 1126, 1282, 6379, 610, 998, 20418, 269, 7486, 568, 849, 3262, 676, 4687, 540, 19271, 563, 295, 4353, 666, 581, 5701, 676, 2921, 1884, 790, 339, 22201, 12637, 6646, 563, 7212, 621, 3112, 581, 4625, 23174, 267, 2126, 1797, 596, 666, 2661, 513, 1279, 2635, 1272, 269, 1403, 596, 1376, 2126, 2038, 267, 1310, 513, 1906, 3275, 596, 1058, 723, 519, 3644, 896, 1852, 269, 4495, 519, 3644, 568, 896, 1852, 596, 3112, 1780, 7486, 593, 547, 824, 1004, 998, 4638, 3346, 563, 8005, 568, 693, 1981, 540, 7486, 888, 12179, 821, 945, 568, 16770, 3742, 666, 581, 693, 1981, 540, 7486, 269, 2368, 1004, 786, 723, 513, 2362, 1981, 267, 585, 1383, 912, 268, 1004, 945, 723, 2789, 4638, 4891, 454, 268, 1004, 945, 798, 711, 946, 513, 598, 3256, 9846, 543, 7157, 950, 2348, 3023, 454, 268, 1004, 945, 723, 824, 16770, 10299, 5563, 799, 723, 711, 1044, 5701, 454, 268, 1004, 945, 723, 796, 31695, 11579, 13577, 21420, 543, 1387, 3023, 454, 9558, 3939, 666, 849, 4755, 689, 3993, 547, 1126, 1282, 6379, 610, 998, 20418, 563, 295, 4353, 568, 849, 3262, 676, 4687, 19271, 563, 1692, 666, 594, 2061, 7486, 3968, 888, 763, 1034, 1455, 1259, 547, 1831, 7783, 609, 7486, 568, 676, 2348, 3023, 563, 8794, 513, 598, 3256, 950, 2348, 3023, 568, 606, 2500, 1259, 547, 2061, 7486, 6771, 269, 15742, 15629, 12862, 616, 3810, 11763, 538, 1004, 945, 616, 2713, 609, 7486, 543, 616, 711, 593, 2500, 2126, 912, 268, 21420, 11166, 454, 268, 1387, 5728, 687, 454, 5278, 1004, 945, 1589, 789, 616, 693, 1981, 540, 20414, 7486, 3442, 547, 1491, 513, 6646, 1572, 2398, 7968, 630, 2181, 7721, 17068, 605, 29091, 9471, 1040, 901, 568, 513, 16979, 799, 814, 1906, 2427, 2360, 543, 568, 3810, 2500, 693, 7303, 7486, 3968, 563, 14818, 532, 5781, 666, 2285, 596, 6015, 602, 596, 616, 711, 8429, 7486, 593, 547, 707, 4638, 4891, 269, 1403, 596, 616, 7486, 2318, 267, 2921, 1884, 790, 339, 22201, 12637, 6646, 568, 519, 1655, 3364, 596, 666, 798, 547, 2057, 8429, 7486, 593, 547, 1866, 269, 901, 2126, 666, 2569, 707, 10194, 4452, 547, 519, 1448, 1141, 621, 3112, 581, 9571, 676, 606, 7486, 1449, 267, 543, 621, 3112, 581, 5293, 593, 563, 4692, 594, 581, 5701, 585, 7486, 888, 2252, 596, 616, 8995, 609, 7486, 267, 596, 786, 581, 11311, 1884, 790, 339, 22201, 12637, 6646, 269, 898, 1568, 676, 16069, 519, 3644, 689, 18187, 908, 269, 901, 14014, 707, 4761, 1062, 689, 2417, 3441, 543, 2636, 621, 547, 7816, 543, 7794, 3294, 563, 7628, 707, 2126, 267, 621, 779, 1271, 602, 596, 1491, 707, 5227, 9570, 1169, 1554, 543, 602, 596, 2141, 7390, 707, 7486, 16758, 20499, 563, 3528, 3257, 713, 267, 596, 666, 2569, 519, 2179, 540, 3644, 538, 707, 1560, 865, 602, 621, 666, 2061, 596, 689, 9991, 2192, 269, 3973, 621, 786, 711, 581, 9571, 676, 606, 7486, 1449, 1317, 519, 2179, 540, 3644, 568, 865, 1507, 602, 621, 554, 1938, 1360, 1134, 267, 855, 7486, 568, 1869, 1459, 538, 519, 1973, 267, 607, 621, 814, 1100, 10826, 2943, 269, 1879, 596, 15666, 547, 707, 1884, 790, 339, 22201, 12637, 6646, 267, 596, 1831, 2205, 958, 26793, 543, 519, 7486, 3968, 666, 1100, 3476, 581, 5293, 593, 547, 1866, 269, 0, 293, 15903, 538, 476, 6245, 272, 543, 6806, 538, 476, 1960, 274, 267, 519, 5939, 540, 853, 269, 3397, 5886, 18795, 593, 513, 9602, 12701, 540, 28788, 2284, 9335, 693, 519, 10167, 540, 6428, 6511, 269, 898, 568, 4867, 7477, 656, 543, 814, 1044, 585, 513, 1297, 540, 1296, 563, 2005, 729, 2966, 676, 6276, 5062, 301, 600, 4673, 267, 543, 952, 835, 5654, 5702, 267, 649, 666, 2995, 602, 713, 5939, 729, 5693, 2404, 609, 519, 5980, 540, 4906, 267, 610, 20908, 7057, 267, 1813, 547, 519, 4527, 540, 519, 594, 9391, 1395, 6945, 538, 519, 7895, 2939, 269, 594, 4898, 952, 5062, 301, 600, 4673, 729, 513, 20908, 3726, 5128, 269, 1411, 666, 1294, 713, 1395, 6945, 593, 1776, 20908, 3726, 23938, 5939, 538, 853, 269, 8402, 267, 602, 540, 519, 1744, 9068, 540, 853, 269, 9478, 563, 4517, 540, 1576, 267, 594, 666, 1406, 948, 855, 1589, 540, 519, 5939, 540, 16114, 685, 288, 3913, 3150, 538, 3397, 821, 538, 7507, 950, 594, 1589, 540, 519, 23920, 538, 2243, 269, 853, 269, 3397, 5886, 729, 12004, 344, 1042, 1310, 533, 698, 753, 7368, 6836, 547, 29875, 1200, 669, 770, 640, 538, 1585, 6753, 267, 1519, 593, 519, 3135, 540, 519, 5939, 538, 7507, 267, 799, 729, 519, 3504, 853, 18123, 540, 4144, 665, 2280, 1014, 630, 1492, 10120, 623, 807, 3960, 320, 18937, 7431, 267, 799, 3470, 1161, 547, 713, 1554, 267, 3217, 922, 1106, 689, 519, 5656, 593, 922, 10665, 1373, 3710, 593, 519, 13210, 540, 519, 2025, 2235, 639, 1040, 634, 1699, 5939, 729, 2966, 676, 25845, 1723, 16907, 668, 7236, 267, 835, 540, 1250, 5172, 25724, 5159, 630, 5408, 1079, 540, 1010, 824, 13039, 1934, 543, 1934, 1070, 543, 607, 8912, 267, 1185, 547, 3514, 513, 1804, 5939, 538, 513, 1507, 1858, 563, 296, 3142, 909, 16907, 668, 7236, 779, 5939, 1317, 594, 666, 1406, 948, 855, 5469, 602, 519, 3844, 13675, 814, 513, 22394, 543, 5393, 16866, 1374, 24188, 540, 5062, 301, 600, 4673, 779, 1374, 585, 853, 269, 3397, 5886, 1934, 538, 853, 269, 8402, 269, 594, 4898, 952, 646, 1185, 14612, 547, 7507, 607, 851, 540, 1010, 2866, 267, 952, 646, 729, 538, 1249, 513, 20908, 3726, 563, 763, 562, 691, 28411, 267, 607, 649, 666, 1294, 538, 519, 8978, 8523, 1657, 267, 729, 3773, 2663, 563, 9827, 267, 16144, 3330, 540, 1776, 4583, 7826, 26746, 5939, 267, 19129, 717, 525, 340, 267, 649, 1294, 602, 519, 3141, 10767, 560, 609, 519, 1395, 6945, 540, 4906, 267, 594, 9391, 267, 849, 814, 513, 30675, 538, 7507, 269, 16393, 5062, 301, 600, 4673, 723, 1175, 2938, 621, 538, 513, 1820, 286, 2986, 1576, 602, 568, 2009, 607, 1134, 563, 3719, 20908, 7057, 616, 1360, 5100, 827, 741, 6189, 543, 4986, 568, 2479, 513, 14626, 2064, 563, 2026, 5018, 1354, 267, 543, 666, 581, 2938, 538, 519, 8978, 8523, 267, 1004, 4440, 3893, 13110, 540, 7555, 538, 519, 4411, 593, 519, 1259, 883, 519, 562, 1511, 267, 543, 713, 562, 691, 28411, 729, 3710, 856, 4395, 547, 1450, 1004, 547, 5531, 3330, 563, 2005, 4990, 540, 21219, 519, 3312, 5888, 855, 621, 779, 8978, 693, 713, 1448, 563, 19185, 693, 519, 18618, 20610, 856, 4395, 267, 543, 22348, 6000, 602, 789, 2899, 4371, 16560, 2712, 985, 593, 519, 2185, 15174, 540, 741, 7895, 9323, 267, 789, 849, 1586, 616, 24188, 540, 519, 840, 15479, 832, 693, 853, 269, 3397, 333, 3150, 538, 3397, 821, 538, 7507, 563, 11917, 16227, 267, 1813, 547, 4657, 16919, 543, 519, 2392, 7631, 766, 540, 2699, 15839, 267, 519, 20610, 616, 1454, 811, 2241, 982, 538, 519, 16907, 668, 7236, 5888, 563, 763, 5939, 568, 1454, 811, 982, 922, 4395, 3655, 9809, 1228, 267, 1498, 563, 32481, 593, 519, 2427, 6173, 725, 267, 621, 3587, 1360, 1454, 513, 2241, 4936, 525, 4302, 4860, 2526, 5939, 267, 609, 513, 22394, 569, 5822, 7276, 2511, 556, 2563, 7923, 547, 519, 7532, 3297, 513, 3376, 15989, 563, 3719, 519, 556, 2563, 2982, 602, 5912, 689, 519, 5822, 7276, 602, 649, 1294, 538, 3162, 4975, 538, 519, 476, 6642, 271, 338, 543, 476, 3445, 338, 563, 26139, 267, 593, 519, 6428, 6511, 2427, 540, 519, 5939, 621, 568, 5266, 2241, 267, 609, 1175, 930, 5594, 1788, 532, 2427, 669, 777, 1564, 563, 763, 5572, 267, 594, 4121, 689, 922, 8227, 945, 729, 856, 14450, 1200, 2371, 950, 594, 15336, 676, 835, 1554, 267, 729, 1524, 519, 8265, 538, 713, 2777, 267, 799, 594, 14353, 729, 3710, 607, 513, 4357, 15335, 269, 8074, 519, 3444, 936, 519, 7450, 3118, 563, 273, 22227, 5410, 16523, 454, 296, 6785, 853, 269, 3397, 5886, 5783, 607, 513, 7911, 543, 729, 27278, 676, 519, 4056, 779, 3100, 532, 7506, 267, 607, 1134, 607, 707, 11842, 827, 1010, 20908, 3726, 7506, 563, 763, 4056, 540, 853, 269, 3397, 5886, 267, 6276, 670, 269, 5062, 301, 600, 4673, 267, 729, 513, 9310, 7826, 267, 4535, 538, 6019, 25832, 267, 8581, 538, 476, 8146, 280, 267, 945, 729, 3833, 3742, 538, 853, 269, 8402, 689, 693, 2547, 519, 3735, 476, 5908, 271, 338, 547, 1010, 2669, 538, 476, 4489, 271, 563, 3891, 4667, 547, 723, 3323, 607, 513, 31585, 2006, 543, 5249, 609, 21150, 569, 543, 25860, 538, 519, 3735, 476, 5908, 271, 338, 593, 853, 269, 14731, 2473, 32667, 5783, 538, 14948, 6807, 267, 14889, 269, 1261, 849, 4667, 547, 723, 1185, 4296, 547, 7338, 654, 17659, 344, 267, 4056, 540, 519, 5449, 853, 269, 12844, 604, 864, 5783, 538, 2961, 27475, 2280, 563, 18250, 301, 600, 4673, 729, 513, 6205, 543, 22497, 4759, 538, 853, 269, 8402, 11265, 3906, 630, 24887, 513, 29533, 267, 3642, 288, 21178, 269, 8402, 267, 476, 6642, 280, 1070, 5249, 585, 519, 5313, 2229, 1934, 607, 513, 8111, 23734, 550, 540, 14716, 267, 543, 729, 513, 11967, 543, 15197, 4274, 585, 4070, 5829, 4031, 7057, 543, 1950, 11650, 1644, 547, 1857, 1568, 563, 3891, 2966, 519, 4566, 585, 16410, 22828, 5600, 630, 17025, 670, 304, 264, 538, 11206, 5244, 630, 6942, 276, 1070, 855, 594, 1265, 1100, 17609, 540, 1010, 824, 6272, 610, 5656, 269, 1261, 7012, 1406, 513, 17308, 855, 646, 729, 3742, 538, 7826, 2238, 267, 7674, 607, 513, 6205, 540, 519, 12928, 2074, 540, 853, 269, 18536, 538, 853, 269, 8402, 269, 1261, 5747, 10393, 693, 476, 3583, 693, 1010, 15335, 693, 476, 31620, 272, 5244, 630, 22238, 2406, 513, 1079, 1922, 13637, 282, 621, 779, 8854, 855, 15231, 5656, 1869, 2291, 1040, 1261, 729, 12617, 693, 2836, 341, 776, 30895, 689, 853, 269, 14731, 2473, 32667, 593, 9835, 2349 ]

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

[ 543, 646, 7948, 1406, 2322, 5220, 1927, 5265, 269, 1924, 693, 519, 942, 646, 1185, 1100, 4555, 540, 7432, 1010, 5326, 3239, 540, 513, 10217, 12051, 883, 513, 1650, 563, 14367, 4876, 607, 513, 5856, 3357, 827, 676, 8009, 1247, 646, 729, 7674, 607, 606, 13930, 2011, 1140, 5995, 538, 6115, 538, 519, 2475, 1282, 24918, 543, 729, 4280, 547, 2328, 2984, 543, 4930, 1759, 593, 1010, 942, 607, 513, 25142, 12681, 269, 898, 3366, 547, 606, 2856, 585, 513, 1453, 779, 4670, 602, 667, 22844, 5941, 609, 18557, 269, 2755, 519, 4670, 729, 2760, 1500, 513, 1433, 267, 634, 13983, 6447, 1231, 267, 729, 3370, 538, 476, 3707, 274, 543, 729, 513, 1967, 563, 3891, 1287, 1500, 1010, 2012, 1603, 2110, 2984, 602, 941, 2663, 6394, 883, 2835, 267, 1082, 540, 799, 941, 2937, 2984, 609, 1419, 5672, 629, 516, 267, 29737, 610, 4158, 1641, 2339, 269, 3571, 2835, 585, 7820, 3988, 267, 971, 607, 6276, 1656, 634, 27951, 3212, 778, 538, 476, 3422, 272, 849, 8659, 4158, 23538, 585, 1453, 779, 3332, 269, 769, 602, 1650, 6276, 779, 3237, 616, 7166, 538, 513, 11002, 3626, 4323, 543, 646, 1965, 7870, 1272, 609, 1079, 29880, 31225, 338, 1310, 16565, 513, 9126, 540, 9059, 25438, 850, 10209, 1132, 602, 616, 18417, 12628, 2870, 513, 9649, 890, 778, 602, 646, 3096, 267, 609, 519, 948, 540, 513, 26600, 540, 9676, 694, 698, 1638, 338, 267, 547, 8038, 2066, 519, 9533, 547, 3013, 563, 1103, 602, 3209, 667, 22844, 19528, 519, 890, 778, 12902, 2250, 513, 10217, 12051, 267, 799, 1131, 581, 519, 1641, 585, 1010, 1985, 1453, 779, 1433, 269, 2755, 3206, 827, 2093, 585, 519, 1433, 667, 22844, 15422, 1010, 22649, 540, 519, 6427, 532, 4055, 693, 27974, 10767, 903, 269, 1809, 972, 941, 849, 824, 2959, 540, 6667, 563, 291, 22844, 729, 513, 10178, 540, 669, 4377, 919, 1500, 676, 4130, 9755, 543, 561, 3512, 539, 519, 1249, 602, 3677, 3549, 941, 9140, 856, 1082, 2757, 1476, 1254, 619, 543, 669, 4377, 520, 4536, 269, 1261, 2813, 654, 517, 6390, 607, 513, 2757, 10672, 14850, 564, 676, 4158, 4229, 538, 519, 9746, 1158, 3843, 547, 21102, 1010, 11580, 269, 769, 519, 1433, 621, 6257, 875, 654, 517, 6390, 1185, 547, 521, 871, 1010, 5234, 1317, 789, 941, 27560, 1010, 11580, 543, 9513, 873, 547, 15180, 9755, 971, 607, 590, 29888, 10290, 267, 3079, 17849, 519, 10217, 15962, 25165, 1634, 607, 744, 558, 11985, 6441, 7112, 335, 553, 563, 2467, 941, 7899, 540, 8320, 540, 4853, 17611, 32025, 538, 519, 1483, 1158, 593, 799, 646, 1223, 2721, 269, 1280, 6135, 9370, 267, 519, 1977, 13653, 540, 519, 9370, 5549, 1476, 1254, 2044, 10504, 267, 3576, 6009, 538, 10217, 15327, 538, 2342, 547, 1451, 930, 540, 741, 10217, 1818, 11580, 269, 7324, 873, 729, 519, 18230, 1426, 9649, 29321, 548, 267, 609, 7247, 9370, 1131, 723, 513, 15400, 31195, 269, 2290, 540, 519, 10217, 13063, 646, 13948, 588, 1961, 729, 606, 1977, 10217, 4904, 609, 17310, 14475, 676, 670, 619, 30750, 779, 1634, 607, 631, 2432, 269, 1261, 3576, 519, 2856, 543, 3812, 621, 538, 6628, 607, 645, 870, 344, 269, 9370, 729, 12021, 585, 1010, 5728, 633, 2470, 267, 1256, 9420, 325, 13783, 1004, 945, 10272, 1010, 12051, 865, 602, 789, 7948, 1406, 21102, 1010, 2093, 585, 1007, 2472, 563, 3719, 952, 9370, 729, 835, 6667, 585, 590, 29888, 10290, 267, 654, 517, 6390, 5128, 729, 6986, 5708, 269, 3571, 2012, 3357, 689, 513, 1630, 9593, 836, 11262, 676, 667, 22844, 779, 7015, 2443, 513, 968, 20597, 11035, 654, 517, 6390, 6100, 1809, 2663, 667, 22844, 4607, 513, 4484, 689, 513, 2022, 2006, 3957, 654, 11035, 654, 517, 6390, 538, 27228, 269, 1879, 29321, 548, 9250, 922, 654, 517, 6390, 6216, 538, 476, 3192, 272, 789, 2366, 1864, 5439, 547, 2285, 547, 1453, 593, 1010, 8905, 563, 23192, 3370, 607, 21690, 1382, 6273, 667, 22844, 779, 10217, 5929 ]

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

[ 2465, 27306, 4940, 31742, 619, 31927, 4311, 269, 22852, 314, 31742, 518, 27306, 7481, 2018, 1582, 269, 22852, 314, 31742, 518, 27306, 4940, 31742, 338, 31927, 4311, 269, 22852, 314, 31742, 2465, 27306, 316, 9239, 258, 2659, 12108, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 258, 1073, 329, 815, 12108, 4590, 258, 1073, 329, 4877, 739, 307, 11548, 263, 12528, 27306, 25722, 11548, 27306, 994, 258, 4164, 318, 273, 815, 1073, 329, 10947, 21158, 293, 3975, 263, 12528, 27306, 994, 258, 1073, 329, 8807, 4772, 6600, 4772, 518, 27306, 267, 31742, 2465, 27306, 994, 258, 1073, 329, 26509, 31742, 6600, 4772, 518, 27306, 267, 31742, 2465, 27306, 994, 0, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 2187, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 454, 1038, 1582, 4877, 1861, 815, 7183, 7531, 5035, 645, 4306, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 10174, 815, 7183, 692, 825, 1219, 7696, 4311, 267, 1871, 2187, 1038, 952, 1582, 269, 10174, 568, 7183, 912, 2018, 1582, 269, 10174, 815, 19219, 263, 7407, 994, 1038, 3116, 912, 2018, 2132, 1582, 11519, 12133, 4311, 269, 10174, 267, 1871, 2020, 825, 1219, 9041, 12133, 4311, 267, 28364, 17045, 267, 1871, 2187, 1038, 952, 1871, 2999, 28364, 17045, 27841, 912, 2018, 952, 28364, 17045, 16000, 568, 7183, 912, 3546, 28364, 17045, 16000, 815, 19219, 263, 7407, 994, 3546, 28364, 17045, 16000, 4877, 1861, 815, 28364, 17045, 454, 2018, 3116, 912, 3546, 1582, 11519, 12133, 263, 2017, 337, 17045, 16000, 267, 1871, 994, 1038, 8640, 1871, 3436, 28364, 17045, 27841, 912, 2018, 952, 28364, 17045, 16192, 568, 7183, 912, 3546, 28364, 17045, 16192, 815, 19219, 263, 7407, 994, 3546, 28364, 17045, 16192, 4877, 1861, 815, 28364, 17045, 454, 2018, 3116, 912, 3546, 1582, 11519, 12133, 263, 2017, 337, 17045, 16192, 267, 1871, 994, 1038, 3116, 912, 2018, 1820, 3488, 19368, 1325, 2819, 10558, 9847, 22207, 1871, 2020, 825, 1219, 3406, 4311, 267, 1871, 2187, 1038, 952, 1582, 269, 10174, 568, 711, 7183, 912, 2018, 2132, 1582, 11519, 14142, 4311, 269, 10174, 267, 1871, 994, 1038, 3116, 912, 2018, 2132, 8771, 692, 825, 1219, 9041, 14142, 4311, 267, 28364, 17045, 267, 1871, 2187, 1038, 952, 1871, 2652, 28364, 17045, 27841, 912, 2018, 2132, 6936, 454, 1038, 8640, 1871, 2999, 28364, 17045, 27841, 543, 28364, 17045, 16000, 568, 711, 7183, 912, 2018, 2132, 1582, 11519, 14142, 263, 2017, 337, 17045, 16000, 267, 1871, 994, 1038, 8640, 1871, 3436, 28364, 17045, 27841, 543, 28364, 17045, 16192, 568, 711, 7183, 912, 2018, 2132, 1582, 11519, 14142, 263, 2017, 337, 17045, 16192, 267, 1871, 994, 1038, 3116, 912, 2018, 2132, 1412, 7407, 711, 1336, 28847, 825, 1219, 1265, 4311, 267, 1871, 2187, 1038, 952, 1582, 269, 10174, 27841, 11203, 1871, 912, 2018, 2132, 1582, 11519, 22772, 4311, 269, 10174, 267, 1871, 994, 1038, 3116, 912, 2018, 2132, 1582, 269, 10174, 27841, 692, 825, 1219, 9041, 22772, 4311, 267, 28364, 17045, 267, 1871, 2187, 1038, 952, 1871, 2652, 28364, 17045, 27841, 912, 2018, 2132, 28364, 17045, 27841, 454, 1038, 8640, 1871, 2999, 28364, 17045, 27841, 543, 28364, 17045, 16000, 568, 711, 7183, 912, 2018, 2132, 1582, 11519, 22772, 263, 2017, 337, 17045, 16000, 267, 1871, 994, 1038, 8640, 1871, 3436, 28364, 17045, 27841, 543, 28364, 17045, 16192, 568, 711, 7183, 912, 2018, 2132, 1582, 11519, 22772, 263, 2017, 337, 17045, 16192, 267, 1871, 994, 1038, 3116, 912, 2018, 2132, 1412, 7407, 711, 1336, 28847, 825, 1219, 18419, 4311, 267, 1871, 2187, 1038, 1780, 692, 825, 1219, 4159, 4311, 2187, 1038, 952, 1582, 269, 10174, 568, 711, 7183, 912, 2018, 2132, 1582, 11519, 5891, 4311, 269, 10174, 2020, 825, 1219, 9041, 5891, 4311, 267, 28364, 17045, 2187, 1038, 952, 28364, 17045, 568, 711, 7183, 912, 2018, 1582, 11519, 5891, 263, 2017, 337, 17045, 16000, 994, 2018, 1820, 19304, 263, 2017, 337, 17045, 27841, 4917, 2018, 1582, 11519, 5891, 263, 2017, 337, 17045, 16192, 9239, 29728, 815, 645, 4306, 4590, 29728, 27044, 263, 1015, 994, 29728, 27044, 263, 272, 994, 29728, 27044, 263, 1321, 994, 29728, 27044, 263, 273, 994, 29728, 27044, 263, 1724, 994, 29728, 27044, 263, 1724, 994, 29728, 269, 5891, 4590, 258, 1820, 6025, 872, 26098, 263, 11025, 4917, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 769, 314, 272, 28660, 454, 5814, 11885, 607, 5286, 454, 12248, 815, 476, 271, 825, 1948, 4736, 10948, 20046, 10948, 4138, 7549, 10780, 5284, 379, 9924, 4344, 30718, 454, 15893, 815, 5286, 20179, 27110, 263, 272, 267, 476, 6200, 264, 825, 1948, 13194, 3522, 15671, 3522, 28027, 4709, 21170, 3264, 24893, 25986, 6459, 3378, 454, 2745, 3488, 396, 501, 3522, 15671, 3522, 28027, 21170, 24893, 25986, 6459, 3378, 16068, 4344, 476, 272, 18194, 3378, 476, 1911, 17210, 3698, 3014, 6831, 648, 24449, 274, 28840, 2187, 825, 1948, 396, 350, 5284, 371, 28027, 27671, 16044, 482, 7846, 4709, 7549, 30530, 19628, 18194, 31124, 10780, 3378, 25986, 18547, 24893, 25986, 20977, 630, 6358, 910, 24893, 25986, 6459, 3378, 267, 3977, 910, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 10780, 5284, 379, 9924, 4344, 30718, 994, 825, 1003, 8217, 815, 1496, 328, 585, 1775, 538, 2039, 263, 272, 267, 476, 6200, 22708, 825, 1948, 396, 350, 5284, 371, 28027, 27671, 11012, 10528, 25986, 30718, 11012, 16044, 491, 6459, 27671, 12811, 25000, 9261, 4138, 454, 825, 1295, 19571, 815, 1003, 8217, 314, 271, 316, 1948, 396, 507, 3522, 4138, 9261, 12811, 9841, 20732, 4138, 13953, 16044, 491, 6459, 27671, 12811, 4344, 11012, 10528, 25986, 18547, 454, 825, 3193, 19571, 815, 1003, 8217, 15631, 272, 316, 1948, 396, 507, 3522, 4138, 16648, 17201, 9841, 20732, 4138, 13953, 16044, 491, 6459, 27671, 12811, 4344, 11012, 10528, 25986, 18547, 454, 825, 1293, 815, 476, 271, 454, 825, 1247, 1295, 19571, 10922, 3193, 19571, 281, 1948, 30530, 7549, 6459, 267, 10780, 13833, 4344, 18775, 9326, 19628, 27569, 4138, 13953, 31502, 10780, 30718, 3522, 21660, 4138, 9261, 12811, 9841, 20732, 4138, 13953, 15800, 21660, 4138, 16648, 17201, 9841, 20732, 4138, 13953, 16044, 491, 6459, 27671, 12811, 4344, 9924, 14359, 3264, 11012, 13833, 10528, 3522, 9686, 7846, 4344, 454, 1038, 1293, 6834, 476, 272, 454, 1038, 1285, 326, 19571, 815, 630, 2381, 19571, 1341, 3193, 19571, 264, 2260, 273, 476, 1948, 4736, 16417, 9686, 17221, 13953, 16044, 491, 6459, 27671, 12811, 4344, 11012, 10528, 25986, 18547, 454, 1038, 952, 1285, 326, 19571, 3436, 1297, 912, 2018, 3193, 19571, 815, 1285, 326, 19571, 910, 476, 272, 1948, 27799, 20434, 30935, 15671, 3522, 28027, 4709, 21170, 3264, 24893, 25986, 6459, 3378, 20413, 12811, 9841, 20732, 3264, 11012, 16417, 9686, 4709, 3264, 15671, 3378, 16044, 491, 6459, 27671, 12811, 25000, 11012, 10528, 25986, 18547, 267, 11012, 16417, 9686, 17221, 13953, 16044, 491, 6459, 27671, 12811, 4344, 11012, 25000, 4709, 13833, 4138, 4344, 31502, 21660, 4138, 16648, 17201, 9841, 20732, 4138, 9261, 454, 1038, 8640, 1285, 326, 19571, 2999, 1297, 912, 2018, 1295, 19571, 815, 1285, 326, 19571, 1341, 476, 272, 1948, 27799, 20434, 30935, 15671, 3522, 28027, 4709, 21170, 3264, 24893, 25986, 6459, 3378, 25338, 17201, 9841, 20732, 3264, 11012, 16417, 9686, 4709, 3264, 15671, 3378, 16044, 491, 6459, 27671, 12811, 25000, 11012, 10528, 25986, 18547, 267, 11012, 16417, 9686, 17221, 13953, 16044, 491, 6459, 27671, 12811, 4344, 11012, 25000, 4709, 13833, 4138, 4344, 31502, 21660, 4138, 9261, 12811, 9841, 20732, 4138, 9261, 454, 1038, 3116, 912, 2018, 2736, 1948, 27799, 20434, 476, 13077, 8563, 21170, 11714, 9924, 17153, 19757, 4138, 9261, 454, 825, 2132, 6262, 870, 2020, 2745, 3488, 29551, 9924, 27188, 15671, 3522, 28027, 20434, 24893, 25986, 6459, 3378, 15079, 30935, 15079, 10780, 5284, 379, 9924, 4344, 30718, 269, 8339, 8971, 28840, 267, 3014, 6831, 648, 24449, 274, 6262, 870, 4297, 9239, 258, 769, 314, 9948, 1384, 7531, 0, 5814, 4351, 692, 5035, 7591, 29228, 3890, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 5884, 8217, 22561, 2187, 1038, 952, 5884, 8217, 912, 2018, 952, 7003, 5560, 773, 8217, 264, 11203, 476, 277, 912, 3546, 6318, 1401, 4003, 2891, 2791, 991, 547, 723, 4010, 476, 277, 18062, 23528, 1038, 1582, 269, 5562, 318, 2651, 815, 5884, 8217, 610, 1582, 269, 2651, 318, 718, 5091, 823, 4590, 1038, 1582, 269, 5562, 318, 2651, 6831, 3300, 815, 476, 277, 454, 1038, 1582, 269, 23974, 1518, 10734, 3089, 564, 815, 11713, 1038, 1582, 269, 16557, 10734, 3089, 564, 815, 11713, 1038, 1582, 6745, 4973, 318, 2651, 338, 815, 476, 271, 1948, 10261, 547, 4368, 454, 1038, 1582, 269, 704, 2739, 14682, 877, 815, 1496, 272, 267, 275, 267, 277, 267, 277, 267, 277, 267, 277, 2639, 1038, 1582, 6745, 4973, 23962, 815, 476, 271, 454, 1038, 1582, 269, 2452, 10797, 825, 1219, 887, 331, 671, 823, 4311, 2187, 1038, 18062, 272, 815, 4351, 27110, 263, 272, 267, 277, 994, 1038, 2132, 18062, 272, 692, 825, 1219, 5066, 318, 718, 5091, 823, 4311, 2187, 1038, 1948, 1607, 568, 519, 3742, 318, 2651, 10734, 3089, 564, 454, 1038, 1948, 16651, 20061, 782, 18062, 454, 1038, 18062, 815, 11713, 1038, 585, 5884, 538, 2039, 263, 277, 2187, 2018, 18062, 6910, 4311, 269, 1503, 671, 823, 15405, 1038, 1820, 2891, 1607, 568, 519, 5066, 318, 718, 5091, 823, 674, 7419, 290, 3582, 2580, 18062, 994, 1038, 2132, 18062, 825, 22562, 825, 1219, 5066, 318, 718, 5091, 823, 318, 28785, 4311, 2187, 1038, 1948, 1607, 568, 519, 3742, 318, 2651, 10734, 3089, 564, 454, 1038, 1948, 16651, 20061, 782, 18062, 454, 1038, 18062, 273, 815, 11713, 1038, 1948, 1820, 2891, 10472, 568, 519, 957, 1853, 3326, 322, 3300, 2580, 1582, 269, 5562, 318, 2651, 6831, 3300, 994, 1038, 585, 5884, 538, 2039, 4311, 269, 5562, 318, 2651, 6831, 3300, 2187, 2018, 18062, 273, 6910, 4311, 269, 1503, 671, 823, 15405, 1038, 1820, 2891, 1607, 568, 519, 5066, 318, 718, 5091, 823, 318, 28785, 674, 7419, 290, 3582, 2580, 18062, 273, 994, 1038, 2132, 18062, 273, 8528, 825, 1219, 1404, 4311, 2187, 1038, 1247, 1582, 269, 4777, 4671, 1248, 10031, 2018, 1582, 269, 23974, 1518, 24417, 2737, 4590, 2018, 1582, 269, 1598, 1538, 344, 5334, 1460, 525, 4590, 2018, 1582, 269, 26303, 318, 5562, 318, 2651, 4590, 2018, 1582, 269, 2651, 318, 718, 5091, 823, 318, 28785, 4590, 2018, 1948, 28733, 15765, 318, 305, 3326, 543, 9337, 609, 1007, 18062, 454, 2018, 1820, 2891, 1607, 568, 519, 623, 6369, 312, 8520, 3742, 5066, 2580, 1582, 269, 5562, 318, 2651, 994, 1038, 1582, 269, 29798, 4590, 1038, 1948, 16651, 1590, 1747, 513, 5934, 540, 835, 18062, 538, 2901, 19943, 593, 1142, 5066, 454, 1038, 1948, 763, 19943, 13307, 5673, 593, 20618, 24417, 2737, 543, 6060, 24417, 2737, 454, 1038, 1948, 11514, 2452, 519, 2164, 540, 1142, 5066, 543, 519, 7222, 11369, 1115, 454, 1038, 1820, 2891, 763, 15765, 5066, 568, 281, 4939, 338, 257, 4939, 1582, 269, 5562, 318, 2651, 2437, 763, 19120, 13294, 616, 281, 4939, 338, 257, 4939, 1582, 269, 23974, 1518, 10734, 3089, 564, 267, 834, 763, 24143, 568, 281, 4939, 338, 257, 4939, 1582, 269, 16557, 10734, 3089, 564, 267, 834, 763, 2698, 20061, 941, 281, 4939, 338, 257, 4939, 1582, 6745, 4973, 318, 2651, 338, 2020, 825, 1219, 798, 4671, 1248, 4311, 2187, 1038, 952, 1582, 269, 5562, 318, 2651, 6831, 3300, 2652, 476, 271, 912, 2018, 2132, 8771, 454, 1038, 3116, 912, 2018, 2132, 6936, 454, 1038, 1948, 11687, 952, 649, 1058, 798, 1776, 2490, 692, 825, 1219, 9337, 318, 5562, 318, 2651, 4311, 2187, 1038, 1582, 269, 5562, 318, 2651, 269, 27234, 4590, 1038, 1582, 269, 5562, 318, 2651, 815, 1582, 269, 2651, 318, 718, 5091, 823, 318, 28785, 4590, 1038, 1948, 2132, 1582, 269, 5562, 318, 2651, 692, 825, 1219, 20618, 24417, 2737, 4311, 2187, 1038, 1948, 11754, 18062, 547, 20618, 10734, 3089, 564, 454, 1038, 1948, 300, 755, 581, 476, 272, 543, 513, 476, 275, 711, 1079, 476, 272, 781, 610, 1079, 476, 275, 781, 454, 1038, 1948, 5591, 811, 982, 1079, 18062, 538, 713, 19943, 454, 1038, 585, 5884, 538, 1582, 269, 5562, 318, 2651, 912, 2018, 952, 1582, 18994, 318, 23974, 1881, 10031, 3546, 2736, 454, 2018, 952, 5884, 538, 1496, 272, 267, 275, 316, 543, 711, 5884, 538, 1582, 269, 23974, 1518, 10734, 3089, 564, 912, 3546, 1582, 269, 23974, 1518, 10734, 3089, 564, 6910, 5560, 773, 994, 3546, 1582, 269, 5562, 318, 2651, 31927, 5560, 773, 994, 3546, 1582, 269, 5562, 318 ]

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

[ 0, 763, 2230, 1570, 2443, 602, 949, 581, 513, 3368, 513, 18797, 8807, 633, 2929, 5195, 538, 14606, 2443, 16881, 1100, 8594, 547, 519, 1158, 267, 2943, 568, 513, 1390, 581, 1641, 547, 4603, 609, 513, 1007, 1982, 707, 949, 1134, 627, 871, 513, 5906, 20503, 2476, 689, 552, 26247, 267, 3173, 1867, 269, 681, 4575, 593, 519, 1668, 13355, 20503, 476, 1708, 273, 570, 291, 1034, 2693, 2095, 14606, 1085, 3320, 693, 519, 267, 811, 2143, 3379, 547, 519, 22966, 17155, 9682, 269, 7102, 20503, 267, 476, 1708, 273, 570, 291, 267, 568, 1175, 827, 519, 21092, 1022, 1668, 543, 568, 476, 1789, 3723, 1390, 267, 9944, 6054, 26809, 538, 808, 12195, 269, 7102, 20503, 568, 2693, 547, 6908, 6833, 1778, 593, 513, 32049, 569, 7404, 519, 6835, 3823, 476, 4391, 273, 267, 1822, 21240, 563, 268, 645, 2940, 987, 8331, 267, 30563, 616, 3622, 3504, 4055, 6299, 1076, 267, 5265, 13897, 267, 14222, 1369, 519, 4505, 19349, 538, 938, 3859, 1062, 607, 1454, 607, 2185, 4732, 1460, 547, 5216, 5479, 9489, 538, 519, 2250, 563, 268, 4256, 21092, 729, 875, 2462, 11683, 18148, 685, 16383, 942, 795, 17064, 543, 9811, 621, 1185, 1158, 593, 513, 5873, 628, 5473, 561, 267, 1822, 332, 874, 563, 268, 769, 5758, 519, 4890, 14606, 1175, 1522, 16102, 3294, 607, 10353, 547, 519, 2947, 28902, 20503, 3177, 476, 277, 3275, 685, 1294, 855, 835, 3364, 8273, 568, 2469, 547, 581, 3564, 6999, 563, 268, 18641, 267, 14606, 568, 693, 4642, 519, 4960, 540, 707, 3032, 659, 569, 338, 6193, 20503, 11605, 17640, 547, 693, 519, 1360, 2547, 519, 476, 273, 526, 835, 4627, 1032, 267, 8331, 6811, 563, 268, 8331, 667, 11286, 2119, 856, 1185, 1044, 13006, 676, 1259, 540, 513, 2370, 7649, 9682, 593, 1018, 3357, 513, 667, 11286, 14361, 593, 519, 1507, 20503, 17435, 6973, 657, 563, 268, 2060, 519, 4541, 779, 6574, 24985, 267, 19936, 5001, 17477, 547, 3950, 476, 1708, 272, 11520, 290, 3781, 569, 563, 268, 901, 3896, 5063, 6594, 519, 4960, 540, 562, 644, 3101, 513, 1390, 20503, 1259, 909, 609, 16140, 563, 291, 11286, 7745, 2786, 883, 17435, 6973, 657, 543, 6707, 4179, 2517, 326, 6504, 560, 2292, 322, 9127, 19282, 2593, 270, 7745, 1996, 1142, 824, 540, 519, 2754, 779, 476, 1321, 16923, 8608, 267, 3744, 2594, 269, 634, 14361, 2443, 602, 568, 519, 4463, 543, 8700, 540, 513, 1507, 8060, 2443, 1185, 1044, 530, 21317, 856, 267, 18562, 519, 952, 596, 723, 1044, 8694, 909, 1373, 6592, 998, 513, 512, 611, 9682, 26725, 585, 26099, 3622, 1634, 607, 700, 2975, 296, 3722, 4209, 519, 1880, 911, 6150, 1379, 532, 269, 8616, 267, 952, 519, 20503, 2731, 1281, 2965, 3914, 3618, 267, 3152, 24187, 786, 581, 12913, 593, 519, 6989, 513, 1732, 4620, 1503, 786, 581, 25793, 14414, 269, 589, 13304, 8686, 770, 20503, 267, 585, 3236, 267, 1705, 11605, 16140, 593, 519, 26428, 540, 1472, 476, 4366, 267, 18231, 21240, 3108, 563, 301, 14505, 6611, 343, 24415, 935, 5216, 1849, 12494, 2561, 10187, 2299, 1234, 548, 1162, 454, 12179, 3750, 4252, 540, 1142, 835, 1843, 568, 2965, 5462, 689, 2348, 519, 4212, 11057, 2619, 17031, 1747, 519, 4890, 1655, 17015, 519, 4890, 2647, 1930, 6898, 267, 602, 1974, 476, 1911, 271, 338, 540, 25057, 17031, 1279, 942, 610, 1256, 1896, 1296, 269, 9406, 1631, 267, 649, 1631, 723, 20085, 476, 2767, 267, 1822, 6168, 6874, 518, 1778, 2472, 540, 938, 533, 341, 10540, 1756, 267, 476, 8660, 272, 538, 799, 4991, 547, 17646, 5006, 519, 9838, 4990, 540, 1317, 9894, 2096, 657, 267, 10964, 578, 8331, 269, 1677, 2327, 602, 606, 20503, 610, 28661, 1373, 9833, 513, 1007, 14033, 268, 3383, 559, 6221, 267, 621, 786, 2097, 689, 476, 6344, 269, 278, 1990, 11669, 5195, 538, 938, 4541, 269, 634, 2319, 519, 3845, 3330, 2923, 538, 13628, 556, 3438, 730, 1318, 1934, 5749, 1406, 1022, 4220, 540, 606, 20503, 799, 949, 1267, 538, 1713, 949, 1335, 3330, 519, 31302, 14232, 267, 799, 799, 568, 1344, 593, 607, 513, 13473, 269, 589, 1007, 8116, 779, 3804, 814, 711, 1044, 547, 2736, 1022, 20503, 2705, 6460, 741, 3440, 1100, 1447, 982, 9894, 2096, 657, 7850, 799, 621, 3986, 906, 1312, 540, 519, 4807, 779, 24551, 269, 17435, 6973, 657, 29349, 513, 1434, 3440, 513, 5934, 540, 9894, 2096, 657, 538, 476, 1321, 3108, 543, 1376, 17288, 2947, 3764, 282, 8331, 2115, 513, 1007, 952, 707, 31014, 557, 1044, 2110, 839, 741, 1880, 11497, 609, 476, 1428, 4559, 563, 301, 14505, 23670, 1080, 2334, 8164, 589, 1390, 589, 3122, 1355, 21784, 839, 16140, 267, 898, 779, 711, 594, 1223, 13079, 1393, 3204, 8973, 621, 454, 763, 5354, 540, 2673, 547, 8566, 1037, 5370, 2322, 593, 25057, 519, 2322, 593, 6557, 4394, 5397, 873, 711, 2484, 689, 6833, 1778, 267, 917, 940, 602, 1253, 677, 3274, 1100, 1761, 585, 795, 27117, 267, 18562, 3368, 519, 2856, 1107, 1572, 6148, 20715, 30563, 1107, 11129, 547, 723, 2799, 7156, 269, 12989, 2472, 616, 3622, 6444, 607, 30563, 799, 723, 1044, 693, 519, 2547, 5111, 476, 29121, 3952, 538, 2450, 609, 25057, 519, 1880, 3142, 873, 607, 2282, 607, 609, 476, 275, 19544, 2788, 513, 18797, 2929, 14143, 630, 324, 697, 8807, 633, 2929, 5195, 264, 5473, 14606, 685, 16383, 3750, 4252, 1369, 519, 5620, 1187, 269, 595, 20911, 5308, 11179, 21697, 1175, 827, 1022, 7074, 2673, 547, 8566, 1037, 2472, 547, 6218, 519, 9983, 2990, 789, 1223, 6335, 269, 634, 1761, 1981, 540, 513, 5458, 2230, 4496, 28069, 18644, 4469, 3233, 568, 519, 1034, 3020, 2243, 519, 4890, 12592, 8331, 952, 596, 991, 547, 30134, 741, 1378, 667, 11286, 1184, 10704, 593, 14603, 26301, 1022, 14361, 538, 547, 519, 20503, 547, 1294, 952, 1775, 666, 1689, 1010, 610, 1200, 2619, 269, 1403, 519, 1449, 856, 1281, 1010, 610, 1200, 519, 6662, 540, 22212, 519, 2619, 540, 513, 1007, 20503, 267, 707, 1560, 949, 1831, 513, 1007, 4052, 1727, 677, 6541, 585, 4469, 3233, 547, 12404, 2933, 693, 519, 5906, 8631, 4767, 2262, 909, 543, 1524, 585, 519, 8608, 19952, 563, 288, 3122, 1355, 7745, 2453, 267, 635, 1115, 267, 543, 20006, 14368, 6950, 602, 616, 2356, 896, 476, 274, 19462, 538, 2450, 1522, 5734, 519, 3618, 779, 2011, 543, 2253, 540, 7279, 621, 666, 269, 589, 6263, 2705, 5310, 5739, 20503, 666, 581, 10707, 2509, 519, 14606, 693, 713, 4090, 269, 21362, 1229, 17031, 12514, 540, 707, 3787, 7649, 9682, 26725, 585, 26099, 267, 799, 729, 1022, 14361, 685, 619, 639, 10344, 3937, 1634, 607, 13306, 306, 2969, 700, 2975, 296, 3722, 4209, 2073, 814, 1044, 30275, 539, 538, 519, 667, 11286, 14361, 543, 2253, 7153, 621, 666, 267, 827, 1614, 4559, 1379, 532, 267, 547, 519, 6263, 20503, 17435, 6973, 657, 563, 8072, 4407, 4642, 13006, 20503, 3677, 982, 476, 9610, 544, 538, 7516, 814, 513, 1713, 4960, 547, 13351, 16140, 585, 519, 1985, 2540, 267, 1152, 827, 476, 1839, 2600, 540, 891, 30563, 723, 1044, 1336, 952, 596, 1616, 547, 4266, 267, 327, 11535, 8331, 711, 5874, 269, 1403, 621, 13351, 17435, 6973, 657, 267, 1022, 835, 267, 13975, 13362, 667, 11286, 14361, 12012, 519, 2557, 540, 519, 4496, 538, 3368, 1022, 2600, 267, 1360, 2147, 547, 950, 513, 20726, 4212, 11564, 513, 12902, 2879, 809, 518, 1449, 529, 269, 1809, 3006, 649, 2965, 27464, 2312, 540, 513, 2104, 14022, 3042, 18484, 952, 649, 2938, 606, 7357, 4055, 1570, 9859, 835, 540, 938, 1454, 286, 25357, 15697, 779, 11629, 1116, 3194, 543, 20006, 13012, 15503, 267, 1744, 2526, 328, 4279, 652, 267, 5654, 693, 563, 15124, 652, 9980, 790, 1158, 454, 288, 667, 11286, 1587, 568, 3648, 1507, 3379, 547, 17435, 6973, 657, 267, 543, 7429, 689, 968, 30265, 3042, 18484, 2223, 519, 2497, 568, 4440, 711, 547, 11207, 5945, 621, 1281, 267, 855, 2864, 968, 17647, 513, 6263, 7708, 339, 1848, 1809, 19249, 606, 20503, 779, 8608, 998, 513, 2582, 260, 568, 2469, 547, 581, 2614, 952, 835, 8604, 9859, 4464, 547, 4469, 3233, 267, 8331, 3413, 8787, 269, 1284, 723, 909, 547, 476, 736, 610, 865, 267, 1822, 827, 8566, 1037, 5370, 538, 938, 3141, 1982, 267, 9944, 8331, 267, 1344, 789, 2097, 538, 476, 6344, 4318, 697, 2929, 5195, 540, 938, 3003, 1158, 269, 634, 835, 1880, 267, 18605, 1790, 895, 3751, 589, 3122, 1355, 4414, 3925, 4530, 856, 14361, 267, 610, 5310, 667, 11286, 267, 2458, 3660, 538, 519, 22150, 476, 1691, 1532, 11669, 1673, 14373, 267, 476, 26392, 20356, 268, 2169, 2105, 20503, 17435, 6973, 657, 689, 1896, 267, 1822, 5195, 12656, 16923, 607, 1454, 607, 811, 2500, 18265, 5195, 689, 6833, 1778, 269, 9122, 593, 519, 1606, 330, 625, 3820, 267, 513, 589, 3122, 1355, 476, 1708, 273, 17241, 276, 568, 835, 540, 519, 21011, 1297, 540, 30563, 563, 8967, 17202, 6634, 540, 942, 267, 741, 1880, 8608, 8694, 909, 1373, 4957, 3274, 676, 519, 14965, 1764, 540, 1804, 2872, 338, 1247, 18347, 865, 621, 4061, 25057, 519, 3141, 6251, 952, 596, 991, 547, 14606, 269, 1924, 267, 7442, 2684, 529, 8813, 883, 519, 519, 827, 8566, 1037, 20503, 267, 711, 513, 1883, 30559, 909, 1996, 20503, 269, 634, 20771, 3255, 5473, 2673, 547, 268, 3383, 559, 5370, 2039, 689, 8638, 538, 519, 9741, 2622, 12729, 267, 1022, 5001, 4767, 21757, 5264, 17640, 547, 512, 611, 6879, 1901, 3381, 18921, 7403, 269, 1452, 3877, 568, 2965, 4607, 689, 2616, 14898, 593, 519, 4541, 267, 585, 3236, 1713, 3646, 693, 15964, 27423, 4966, 269, 0, 308, 2529, 269, 31048, 517, 4937, 3220, 269, 966, 633, 330, 12653, 20321, 5950, 513, 1867, 713, 3923, 5466, 519, 4182, 779, 20420, 15435, 269, 898, 568, 2404, 609, 513, 968, 24030, 518, 1981, 540, 9025, 2068, 267, 12110, 267, 8482, 267, 4965, 267, 4160, 267, 543, 16349, 2669, 2223, 646, 5206, 269, 1261, 849, 7074, 519, 9019, 1764, 540, 1514, 10072, 568, 2147, 547, 602, 968, 8619, 4310, 676, 7296, 909, 547, 476, 1428, 13189, 513, 1554, 543, 1256, 3152, 982, 602, 2404, 609, 8377, 543, 2168, 538, 13808, 3034, 308, 526, 16040, 267, 713, 15435, 568, 513, 27621, 762, 6433, 2066, 782, 6106, 540, 2486, 267, 689, 3506, 547, 28737, 543, 10820, 563, 293, 6136, 267, 2799, 4656, 1472, 2790, 1072, 814, 5189, 1713, 5647, 543, 5092, 883, 1007, 14319, 543, 2126, 23857, 269, 2290, 971, 3209, 1523, 543, 11556, 568, 519, 946, 540, 5841, 4987, 547, 948, 8207, 519, 5571, 6433, 269, 1717, 267, 1247, 3642, 949, 5732, 1683, 1713, 2640, 267, 3048, 2209, 543, 14519, 1131, 581, 8797, 547, 9784, 621, 15891, 13124, 267, 1813, 547, 922, 7915, 1981, 563, 4415, 519, 4417, 540, 30462, 3642, 267, 17187, 3642, 543, 2067, 1893, 4393, 267, 519, 2219, 540, 1210, 5841, 4987, 1949, 547, 1683, 1480, 31070, 814, 1631, 1831, 13416, 563, 11386, 13192, 267, 799, 568, 693, 519, 21282, 540, 3384, 27249, 3642, 3435, 267, 2488, 606, 538, 3829, 2079, 540, 1018, 17187, 3642, 2731, 568, 281, 2067, 1893, 4393, 543, 3684, 1565, 6620, 616, 1031, 547, 5721, 1949, 593, 1804, 5666, 540, 1239, 267, 1519, 1257, 543, 4633, 269, 2060, 2614, 2866, 267, 519, 1949, 666, 5555, 1174, 543, 1184, 1480, 1893, 267, 543, 4431, 9935, 269, 1306, 891, 1949, 7683, 1451, 689, 4797, 4205, 543, 811, 1239, 267, 789, 666, 2087, 741, 3210, 2298, 6923, 267, 936, 942, 563, 1607, 1797, 602, 609, 2614, 1239, 267, 2866, 543, 4205, 267, 621, 568, 1369, 519, 9165, 540, 26363, 4641, 602, 891, 1949, 666, 711, 1152, 21613, 1480, 1893, 267, 855, 789, 949, 5555, 8415, 17542, 540, 1239, 2798, 543, 2963, 2861, 4808, 547, 5732, 1683, 2564, 5796, 543, 3797, 563, 308, 526, 16040, 267, 3549, 971, 607, 5616, 267, 8835, 543, 9786, 616, 10115, 17542, 540, 9489, 538, 713, 1360, 2029, 267, 16734, 602, 789, 616, 1175, 3800, 2476, 689, 7654, 18187, 908, 1480, 1893, 543, 6643, 269, 4495, 891, 3549, 666, 3501, 713, 267, 519, 1761, 568, 19957, 281, 3388, 689, 6075, 3028, 547, 31070, 543, 1480, 3347, 666, 1831, 3642, 9141, 563, 1103, 1249, 267, 972, 616, 2907, 4693, 1949, 602, 2291, 269, 6875, 585, 1383, 13100, 267, 513, 2123, 5841, 4987, 1062, 2919, 676, 519, 2754, 5606, 3005, 3642, 269, 13100, 968, 13195, 2813, 547, 2285, 1004, 513, 1007, 1259, 547, 2769, 2933, 267, 2671, 741, 1225, 3930, 885, 267, 2263, 1007, 2093, 543, 1995, 513, 11967, 2123, 3642, 3034, 300, 755, 2378, 320, 590, 2544, 344, 2006, 267 ]

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

[ 8523, 11549, 4548, 543, 16150, 9248, 666, 849, 1599, 607, 4609, 540, 4187, 543, 1016, 11437, 269, 6333, 267, 585, 3236, 267, 519, 960, 540, 15594, 7376, 26795, 14472, 2401, 267, 4171, 2584, 558, 2632, 1137, 9192, 3261, 730, 2592, 689, 10229, 11044, 543, 2527, 2923, 609, 1688, 25740, 5931, 543, 16555, 269, 769, 1568, 899, 5600, 27202, 281, 20780, 532, 519, 2782, 5851, 630, 3422, 278, 268, 7761, 1070, 14472, 2401, 31886, 519, 16809, 540, 6469, 1025, 1170, 15469, 676, 7082, 2528, 267, 5104, 868, 777, 3151, 7329, 22690, 545, 26007, 540, 1647, 11665, 5321, 609, 27615, 13135, 2592, 540, 5208, 543, 13137, 269, 1635, 9308, 19249, 543, 11028, 3667, 783, 1944, 891, 5432, 2592, 267, 14472, 2401, 2591, 13588, 547, 2243, 519, 10054, 543, 2418, 11251, 1369, 873, 780, 8170, 1576, 267, 519, 5137, 540, 8523, 11549, 4548, 543, 16150, 9248, 568, 711, 3908, 547, 3318, 5159, 282, 8197, 267, 1082, 1004, 4497, 538, 930, 1106, 540, 2123, 2895, 1516, 2429, 741, 2729, 269, 1717, 267, 676, 16042, 713, 2534, 609, 9837, 543, 5876, 267, 1256, 23153, 9439, 666, 3132, 8903, 543, 5499, 1568, 540, 1148, 269, 2290, 991, 1152, 1413, 547, 2228, 5867, 899, 17749, 610, 26964, 547, 1294, 9118, 1806, 540, 2043, 1210, 10344, 267, 2458, 720, 267, 543, 824, 3308, 2553, 547, 3561, 741, 2729, 543, 2769, 741, 9163, 269, 5047, 267, 607, 3059, 4066, 3136, 547, 2981, 519, 1259, 649, 1711, 267, 4558, 267, 543, 2671, 1344, 267, 621, 3587, 5051, 1271, 585, 721, 547, 2015, 519, 5683, 6286, 540, 891, 2853, 543, 519, 9021, 649, 7703, 607, 12403, 1841, 540, 938, 1378, 12583, 780, 4415, 891, 2093, 538, 2247, 267, 1577, 721, 1631, 2490, 547, 513, 2013, 1353, 602, 28837, 1082, 540, 519, 4798, 5941, 1657, 281, 519, 8523, 17581, 540, 30370, 31144, 543, 27211, 16026, 267, 13886, 834, 763, 3689, 15248, 543, 2725, 257, 630, 2735, 280, 1040, 23095, 2282, 519, 1439, 540, 31144, 781, 24164, 267, 713, 20662, 880, 569, 3812, 1433, 2934, 7366, 540, 2681, 11147, 3144, 1282, 1010, 26022, 538, 5604, 267, 954, 4944, 619, 539, 609, 1688, 25740, 3061, 687, 543, 23278, 4925, 4050, 2740, 676, 1312, 1234, 698, 753, 269, 3245, 606, 7499, 29459, 267, 519, 17581, 20502, 1896, 10689, 12201, 540, 519, 9135, 267, 1519, 922, 1445, 593, 2123, 2239, 267, 922, 946, 540, 11052, 547, 18427, 7553, 543, 5790, 267, 543, 922, 6297, 3666, 1063, 1857, 1268, 320, 543, 4357, 1995, 269, 3958, 267, 519, 17581, 3091, 5813, 883, 519, 6384, 540, 28910, 6214, 267, 9870, 2055, 827, 519, 2078, 1063, 3239, 6194, 543, 2797, 1379, 780, 2026, 649, 4983, 834, 763, 3689, 15248, 543, 2725, 2437, 972, 616, 1896, 1883, 3344, 4502, 3695, 538, 3152, 3178, 269, 3689, 267, 2015, 519, 1909, 540, 5698, 538, 519, 5137, 540, 519, 17581, 269, 4014, 27211, 16026, 31144, 1705, 711, 1491, 519, 5354, 540, 519, 11147, 9887, 267, 1352, 5129, 513, 1713, 1909, 538, 5935, 519, 3803, 1587, 267, 8939, 543, 25786, 519, 2592, 267, 1603, 3061, 687, 267, 543, 5356, 5955, 593, 1374, 5079, 269, 901, 1377, 540, 9525, 14753, 547, 519, 2956, 540, 11450, 543, 8994, 1489, 538, 3811, 7499, 21769, 267, 607, 1134, 607, 519, 1871, 540, 2789, 5380, 538, 2870, 3638, 543, 13857, 1568, 780, 13553, 267, 4063, 519, 2081, 538, 799, 519, 17581, 18271, 3308, 20116, 547, 4020, 543, 12927, 1880, 12496, 540, 4641, 269, 10801, 519, 1433, 267, 519, 1234, 698, 753, 616, 9846, 13269, 538, 1166, 30568, 267, 4998, 1242, 2474, 267, 11303, 676, 740, 1681, 24921, 543, 10627, 1117, 538, 2571, 267, 3636, 1769, 269, 6270, 2994, 616, 711, 2189, 547, 713, 1788, 282, 2864, 267, 789, 2992, 6626, 3466, 538, 17855, 10344, 543, 3308, 9423, 602, 4266, 1394, 5553, 269, 1635, 6313, 875, 891, 14908, 616, 6964, 538, 519, 3028, 540, 1582, 1790, 19948, 543, 7242, 20671, 267, 1053, 666, 11349, 2565, 7924, 1983, 602, 786, 948, 873, 6330, 519, 1950, 5251, 540, 25358, 2792, 780, 7661, 267, 2015, 519, 1570, 7907, 540, 519, 17581, 3294, 267, 9878, 1880, 3007, 547, 2152, 540, 2504, 267, 3892, 267, 543, 21200, 269, 1215, 1281, 519, 2168, 3898, 540, 519, 1433, 3310, 938, 2542, 540, 922, 9115, 286, 1548, 6835, 798, 519, 2450, 267, 2597, 267, 543, 9403, 540, 519, 1843, 5968, 547, 3988, 267, 543, 875, 1522, 891, 2188, 3337, 938, 6788, 543, 6114, 286, 1635, 2502, 609, 891, 2055, 267, 1053, 786, 15052, 741, 1620, 540, 519, 6946, 4296, 1063, 1106, 543, 1543, 267, 15312, 543, 2495, 780, 16352, 8268, 519, 1523, 540, 8523, 11549, 4548, 543, 16150, 9248, 538, 3069, 543, 2259, 267, 1053, 1058, 1631, 1745, 9280, 547, 7832, 593, 741, 1378, 3860, 3785, 269, 1677, 7520, 713, 1184, 267, 519, 1739, 5751, 616, 6700, 1384, 272, 269, 8073, 513, 20538, 8523, 17581, 6273, 676, 519, 960, 540, 2961, 4471, 631, 2801, 1284, 2114, 269, 4635, 513, 1507, 21641, 610, 17250, 25247, 267, 29289, 513, 3126, 540, 2592, 602, 4161, 8789, 11475, 543, 11269, 540, 5198, 267, 4008, 267, 1362, 267, 610, 14920, 269, 6452, 558, 11952, 1142, 3239, 609, 513, 5618, 1309, 1632, 610, 14391, 566, 602, 2488, 3606, 2796, 610, 7664, 563, 273, 269, 15331, 609, 4244, 2409, 540, 3239, 6194, 267, 5373, 6667, 689, 5159, 899, 17555, 2311, 9469, 543, 4168, 3057, 743, 599, 269, 22982, 2553, 971, 607, 19826, 9189, 8228, 267, 2458, 720, 267, 610, 1336, 22089, 11049, 547, 1711, 513, 3308, 21287, 540, 2123, 610, 18497, 8823, 269, 14484, 593, 519, 2081, 538, 799, 891, 3157, 1860, 707, 2078, 547, 519, 2707, 1570, 543, 519, 10096, 596, 14487, 547, 621, 563, 274, 269, 5071, 513, 3382, 585, 513, 19858, 8523, 17581, 610, 16150, 1504, 602, 6054, 513, 1713, 2680, 610, 7432, 1448, 538, 707, 1272, 269, 6333, 875, 1462, 2762, 267, 2681, 10325, 267, 11768, 267, 543, 824, 21370, 2609, 666, 581, 1031, 547, 6655, 7099, 267, 3159, 267, 543, 6249, 269, 8571, 2390, 6436, 540, 3308, 20116, 543, 10388, 1374, 547, 1118, 18532, 5079, 827, 519, 6835, 596, 6999, 547, 5968, 780, 9961, 713, 1770, 267, 649, 723, 8179, 547, 22113, 519, 1585, 7516, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2108, 1692, 1279, 723, 596, 1044, 1927, 9495, 519, 7820, 7008, 4280, 27050, 543, 803, 563, 2108, 23562, 4868, 26690, 1296, 2223, 649, 12943, 563, 2108, 32452, 17373, 789, 1767, 269, 1358, 8910, 1044, 538, 2648, 585, 5722, 3275, 543, 938, 5756, 17489, 15832, 1590, 723, 8604, 16678, 543, 5594, 796, 29207, 15344, 563, 18658, 616, 519, 11580, 540, 513, 1434, 2078, 9495, 789, 4280, 269, 968, 8923, 2671, 707, 7326, 3034, 5575, 267, 27050, 543, 594, 1666, 330, 539, 538, 519, 2856, 602, 1079, 1004, 5156, 649, 22234, 4890, 7326, 256, 3973, 649, 3838, 938, 4030, 563, 1692, 1284, 3231, 2740, 827, 11146, 454, 5978, 4030, 3357, 689, 3395, 607, 2043, 543, 607, 513, 7008, 1282, 938, 8748, 1279, 2078, 543, 689, 4505, 3347, 602, 1185, 5280, 721, 1831, 938, 3020, 30441, 269, 1284, 849, 4121, 689, 8384, 938, 3237, 2226, 741, 3347, 538, 519, 3068, 540, 12110, 563, 2691, 27050, 779, 4651, 7671, 729, 538, 513, 3965, 1416, 1770, 267, 27050, 779, 3158, 631, 3326, 773, 5143, 1200, 9393, 267, 968, 296, 2648, 596, 865, 1454, 1848, 7671, 14452, 267, 968, 8253, 607, 1454, 607, 594, 2648, 596, 256, 1848, 8409, 941, 930, 540, 7671, 779, 2063, 1913, 543, 602, 4845, 18423, 609, 631, 3326, 773, 998, 543, 3564, 1200, 20494, 9109, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21900, 1748, 19186, 4548, 543, 2480, 1905, 9248, 257, 607, 851, 540, 834, 11286, 1315, 10572, 20551, 1315, 20551, 262, 7734, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 27986, 7087, 24447, 262, 9406, 547, 7849, 8249, 692, 5331, 596, 4866, 547, 513, 1895, 540, 1004, 945, 723, 5030, 538, 513, 1978, 1747, 585, 7366, 267, 952, 711, 5215, 267, 540, 1296, 269, 1411, 4096, 593, 519, 2244, 543, 922, 2200, 585, 707, 6668, 267, 2528, 267, 543, 1259, 540, 1272, 269, 1809, 1287, 267, 1866, 2097, 2059, 945, 1616, 547, 946, 1346, 1482, 2200, 585, 741, 1378, 5301, 269, 901, 814, 1044, 513, 4161, 5185, 676, 1082, 6805, 9082, 782, 936, 519, 1158, 269, 1924, 875, 798, 649, 2327, 602, 891, 2950, 666, 1569, 543, 4383, 519, 2067, 2200, 789, 991, 286, 2334, 781, 1141, 1620, 7087, 24447, 262, 12754, 7126, 2501, 883, 1404, 2439, 1432, 6496, 7087, 24447, 262, 12754, 7126, 6399, 2496, 2691, 6158, 827, 7087, 24447, 262, 12754, 7126, 267, 649, 3277, 547, 519, 3656, 6284, 540, 519, 2027, 2078, 1063, 6805, 9082, 543, 741, 2757, 11182, 269, 1452, 2924, 1419, 4125, 9562, 267, 1852, 267, 1569, 547, 267, 543, 2359, 540, 3338, 267, 7297, 267, 543, 2713, 2200, 269, 1358, 849, 3382, 519, 1318, 547, 2226, 2686, 2853, 4448, 547, 891, 2127, 269, 1280, 1383, 267, 10068, 2924, 949, 1450, 6805, 2950, 547, 6952, 1808, 2010, 540, 3165, 1210, 22232, 2553, 269, 6684, 267, 10122, 2924, 5512, 873, 547, 11654, 2831, 1739, 2757, 2409, 1247, 7863, 9265, 780, 3963, 3657, 7087, 24447, 262, 12754, 7126, 12830, 2496, 2467, 616, 1896, 4128, 1946, 9301, 7087, 24447, 262, 12754, 7126, 568, 2629, 1384, 272, 269, 8836, 27834, 281, 1635, 17516, 1569, 547, 741, 18577, 3338, 267, 6805, 9082, 8190, 1898, 6402, 547, 741, 1686, 267, 5389, 267, 5289, 4978, 267, 543, 4654, 269, 901, 4276, 8309, 547, 4509, 3638, 2686, 4763, 5001, 563, 273, 269, 7025, 19731, 13734, 281, 3509, 6805, 2950, 7048, 593, 4264, 4199, 2359, 2853, 5293, 1524, 998, 5481, 269, 23779, 540, 741, 4199, 2924, 2337, 2149, 8134, 267, 8396, 2916, 1689, 267, 543, 18359, 9265, 563, 274, 269, 9483, 19662, 281, 24344, 4199, 2924, 7668, 6805, 9082, 17215, 267, 3850, 873, 547, 4324, 9425, 689, 1646, 3785, 2921, 1747, 1369, 741, 11182, 269, 901, 2640, 1312, 2199, 2950, 543, 3084, 6608, 563, 275, 269, 4317, 10456, 281, 31158, 1194, 3101, 7087, 24447, 262, 12754, 7126, 9607, 3140, 4636, 338, 8149, 1996, 5065, 5095, 1282, 17091, 543, 2518, 7269, 269, 16237, 28517, 891, 2924, 8992, 1514, 9698, 543, 10014, 780, 14300, 540, 7087, 24447, 262, 12754, 7126, 15907, 519, 2622, 692, 4131, 781, 1413, 693, 930, 11121, 1483, 3734, 1806, 540, 3811, 7087, 24447, 262, 12754, 7126, 6388, 1384, 272, 269, 8575, 553, 2967, 8092, 7126, 267, 25157, 281, 2991, 5756, 540, 6560, 267, 519, 8575, 553, 2967, 29009, 1235, 17956, 7104, 2244, 10643, 8720, 811, 982, 1079, 2929, 25614, 538, 7187, 25157, 269, 901, 9740, 28863, 741, 2189, 6197, 543, 5849, 519, 5726, 540, 2565, 7320, 9249, 563, 273, 269, 715, 529, 8615, 262, 320, 15521, 267, 4516, 281, 769, 476, 1220, 271, 267, 519, 715, 529, 8615, 262, 320, 28988, 15501, 6554, 9896, 513, 2413, 14097, 26587, 873, 9562, 540, 5111, 476, 273, 267, 1822, 4009, 12919, 540, 8513, 538, 3703, 12052, 269, 7201, 713, 6876, 267, 519, 715, 529, 8615, 262, 320, 6591, 1713, 13190, 936, 741, 3338, 543, 2200, 267, 1519, 26216, 267, 5599, 267, 1216, 267, 543, 21996, 563, 274, 269, 631, 5953, 9461, 4826, 7126, 267, 1715, 10215, 281, 11374, 3573, 16395, 267, 519, 2229, 11292, 519, 631, 5953, 9461, 1775, 342, 328, 630, 339, 1026, 525, 264, 1071, 3766, 4261, 766, 2924, 936, 15195, 4703, 543, 24232, 2200, 896, 519, 1855, 589, 11445, 570, 1575, 7699, 2920, 630, 1001, 278, 1040, 901, 9086, 26342, 519, 1733, 22462, 14241, 5211, 607, 513, 3656, 11769, 609, 922, 2924, 543, 4690, 267, 10452, 519, 2620, 5289, 6125, 1063, 519, 5757, 543, 519, 631, 5953, 9461, 1004, 780, 1103, 3932, 267, 7087, 24447, 262, 12754, 7126, 2339, 1317, 789, 948, 2149, 2686, 6561, 267, 3895, 2825, 19642, 267, 6536, 2804, 3255, 267, 543, 4434, 1514, 5126, 269, 2913, 721, 11441, 2509, 3152, 4656 ]

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

[ 15869, 618, 2496, 293, 756, 20906, 1427, 15869, 618, 568, 711, 513, 6325, 2930, 13525, 269, 1879, 4294, 547, 6006, 12125, 267, 621, 1419, 12958, 7301, 6786, 543, 666, 6556, 31877, 2164, 269, 2060, 606, 3328, 476, 6858, 260, 5821, 2557, 267, 649, 4363, 602, 596, 2057, 1210, 25828, 4825, 15869, 618, 15587, 3079, 1445, 593, 9256, 824, 10832, 609, 3280, 4909, 2079, 780, 13010, 267, 25828, 4825, 15869, 618, 568, 1759, 593, 519, 1582, 268, 995, 325, 3739, 28897, 1107, 18318, 786, 1491, 7158, 950, 789, 1294, 513, 1489, 610, 4187, 1377, 693, 513, 25828, 1377, 267, 3976, 2870, 519, 1360, 3364, 789, 616, 3168, 585, 269, 1809, 952, 711, 2614, 18318, 946, 713, 17528, 13525, 267, 621, 14543, 547, 581, 1582, 268, 995, 325, 3739, 269, 4475, 267, 621, 814, 1100, 1871, 780, 2171, 4363, 25828, 4825, 15869, 618, 1058, 581, 1031, 15891, 13124, 610, 711, 693, 782, 780, 1012, 4208, 25828, 14938, 1878, 1684, 3502, 4518, 538, 29665, 692, 763, 25828, 4825, 15869, 618, 1907, 568, 11786, 538, 9467, 267, 543, 1082, 18318, 3494, 621, 1281, 711, 960, 269, 2755, 519, 25828, 5311, 543, 824, 6310, 3270, 666, 581, 1336, 538, 6990, 267, 789, 616, 711, 6325, 2614, 547, 3490, 9467, 3664, 593, 269, 3509, 2188, 267, 1519, 2804, 3377, 267, 2797, 2621, 267, 543, 2344, 18941, 267, 3310, 6990, 269, 1452, 2188, 666, 3533, 1689, 519, 7678, 267, 1818, 519, 25828, 1427, 15869, 618, 2157, 13061, 780, 1012, 4208, 29665, 25828, 568, 513, 8682, 268, 995, 325, 3739, 11330, 515, 1097, 692, 7661, 267, 519, 1292, 3390, 609, 1210, 25828, 4825, 15869, 618, 538, 9467, 568, 602, 621, 568, 513, 1582, 268, 995, 325, 3739, 28897, 269, 634, 811, 18318, 946, 519, 25828, 2157, 267, 519, 811, 789, 1831, 1713, 585, 18318, 267, 799, 5012, 547, 519, 2344, 32232, 1472, 1346, 2157, 269, 898, 568, 1271, 547, 3314, 602, 519, 6990, 616, 20437, 267, 543, 1022, 4480, 6964, 1058, 581, 1031, 15891, 13124, 780, 1012, 4208, 25828, 570, 2784, 902, 8682, 6363, 5285, 3739, 11330, 515, 1097, 568, 513, 12096, 2329, 692, 763, 3069, 568, 602, 952, 9467, 25828, 1427, 15869, 618, 729, 513, 1582, 268, 995, 325, 3739, 28897, 267, 938, 4255, 543, 519, 2164, 540, 519, 476, 1556, 4081, 4574, 649, 11855, 1131, 5815, 602, 713, 13525, 1185, 513, 1164, 1967, 2557, 269, 1703, 616, 1152, 1079, 3137, 585, 713, 269, 17616, 267, 711, 2614, 18318, 616, 1210, 25828, 538, 9467, 269, 19627, 267, 1082, 18318, 946, 621, 855, 798, 711, 3972, 621, 547, 1118, 9467, 3664, 269, 23657, 1259, 267, 519, 1249, 3788, 602, 713, 13525, 1281, 711, 960, 780, 763, 7145, 540, 9467, 1210, 25828, 1427, 15869, 906, 568, 8268, 14916, 538, 519, 2883, 3332, 269, 1717, 267, 621, 779, 1271, 547, 4063, 602, 519, 2164, 616, 6404, 269, 594, 723, 16432, 513, 1592, 540, 5007, 4081, 543, 2872, 4574, 865, 596, 666, 2708, 2436, 547, 946, 25828, 780, 272, 269, 589, 12985, 3408, 540, 519, 12117, 540, 25828, 14938, 1878, 538, 2930, 2079, 543, 9467, 6920, 513, 1978, 1377, 540, 16726, 609, 519, 25828, 2338, 1031, 676, 18318, 543, 5750, 1235, 945, 12167, 585, 25828, 1427, 15869, 906, 476, 272, 563, 273, 269, 3194, 593, 519, 6388, 540, 25828, 1427, 15869, 906, 543, 12825, 3001, 3328, 630, 4932, 288, 264, 9467, 4640, 538, 519, 12868, 14351, 16510, 1336, 713, 9467, 4640, 547, 581, 2500, 476, 273, 563, 274, 269, 1717, 267, 513, 1353, 593, 1648, 21888, 19728, 543, 3056, 2475, 1648, 6006, 5777, 1336, 602, 25828, 1427, 15869, 618, 568, 711, 606, 2500, 9467, 2203, 585, 891, 1808, 6990, 476, 274, 563, 275, 269, 1323, 700, 24278, 2861, 3375, 1489, 1062, 585, 18711, 9467, 538, 519, 6006, 2344, 3964, 519, 12117, 540, 519, 25828, 1427, 15869, 618, 538, 8159, 1455, 19114, 585, 6006, 25483, 476, 275, 563, 276, 269, 1323, 6514, 540, 519, 1764, 540, 25828, 4825, 15869, 618, 547, 9472, 519, 1489, 543, 4187, 540, 2824, 4095, 853, 4169, 543, 1473, 1182, 849, 4951, 930, 12117, 540, 25828, 538, 1114, 942, 14604, 540, 9467, 538, 519, 6006, 2344, 476, 276, 563, 277, 269, 1323, 1859, 13011, 1449, 585, 25828, 4825, 15869, 906, 6700, 602, 9520, 1223, 946, 519, 1449, 547, 3313, 519, 1761, 20656, 540, 2930, 9467, 3652, 476, 277, 563, 278, 269, 1323, 12170, 1353, 689, 1614, 9698, 6990, 593, 13128, 8446, 543, 6268, 540, 25828, 1427, 15869, 906, 8947, 922, 7145, 607, 513, 2930, 9467, 4341, 476, 278, 563, 279, 269, 589, 3391, 593, 1210, 25828, 1427, 15869, 618, 547, 3589, 519, 2062, 343, 2344, 5267, 602, 5983, 343, 267, 13632, 267, 20304, 267, 543, 21113, 666, 782, 581, 21775, 1210, 519, 25828, 1427, 15869, 618, 476, 279, 563, 280, 269, 589, 1353, 593, 519, 7145, 540, 7299, 25828, 1427, 15869, 906, 543, 24909, 2066, 2101, 30455, 4797, 547, 2263, 519, 1967, 540, 25828, 1427, 15869, 906, 538, 2883, 6990, 476, 280, 563, 1015, 269, 7053, 267, 513, 1957, 593, 25828, 4825, 15869, 906, 543, 8682, 6363, 5285, 3739, 11330, 515, 1097, 5941, 875, 18318, 946, 25828, 1427, 15869, 906, 547, 3589, 7678, 954, 8306, 2798, 267, 11021, 513, 1582, 268, 995, 325, 3739, 28897, 6422, 476, 1015, 780, 15987, 891, 2090, 1683, 8795, 2164, 267, 789, 2992, 519, 3309, 3498, 543, 1761, 540, 25828, 1427, 15869, 906, 538, 1114, 6990, 543, 3871, 269, 898, 779, 2629, 547, 2015, 891, 2188, 950, 7311, 971, 513, 4480, 780, 1012, 14174, 304, 692, 2162, 1548, 568, 519, 1655, 3301, 585, 25828, 9467, 2496, 763, 1655, 3301, 585, 25828, 9467, 568, 29665, 8698, 269, 29665, 8698, 814, 12747, 4806, 6284, 585, 25828, 1427, 15869, 618, 543, 10137, 267, 7132, 476, 279, 25828, 5373, 2645, 267, 1519, 1427, 15869, 618, 267, 10137, 267, 942, 7997, 267, 10178, 267, 18700, 267, 9095, 267, 543, 530, 8354, 780, 8133, 267, 25828, 1427, 15869, 618, 666, 581, 1031, 585, 12499, 1485, 9467, 269, 634, 1883, 568, 547, 2697, 1761, 1489, 543, 4187, 2157, 1759, 593, 519, 25828, 2157, 543, 1287, 946, 873, 607, 3391, 14006, 338, 267, 711, 6378, 4444, 543, 6133, 6786, 267, 607, 938, 1382, 2982, 713, 13525, 568, 31877, 780, 5591, 267, 25828, 9467, 568, 711, 606, 2500, 4640, 267, 2687, 547, 938, 4152, 269, 3776, 1382, 814, 3254, 602, 713, 1826, 540, 9467, 568, 476, 2568, 2600, 31877, 543, 1281, 711, 9846, 3132, 19311, 2164, 269, 3776, 1554, 9467, 13525, 4255, 1397, 681, 10485, 267, 1261, 1731, 523, 1306, 6062, 267, 681, 8016, 267, 543, 966, 310, 4338, 616, 1454, 811, 6325, 10832, 780, 2162, 1215, 547, 946, 25828, 2338, 538, 6006, 9467, 2496, 8196, 25828, 2338, 547, 2697, 1761, 1489, 543, 4187, 2127, 269, 6744, 25828, 2157, 593, 707, 5750, 547, 1294, 952, 789, 5447, 609, 2344, 2497, 610, 7432, 2798, 269, 6333, 1210, 891, 2157, 607, 3391, 14006, 338, 538, 707, 9467, 4640, 269, 5457, 267, 25828, 1427, 15869, 906, 616, 711, 6325, 4444, 7146, 5498, 961, 6786, 780, 2162, 1772, 25828, 2500, 538, 9467, 2496, 5591, 267, 1109, 25828, 2338, 616, 711, 6325, 9467, 10832, 269, 898, 568, 1271, 547, 3314, 602, 25828, 2338, 616, 513, 6310, 4806, 543, 666, 1405, 3589, 519, 2344, 781, 2104, 269, 2755, 621, 949, 581, 5363, 547, 946, 25828, 1427, 15869, 906, 607, 1489, 543, 4187, 2157, 267, 538, 519, 1439, 267, 621, 1869, 12346, 593, 1367, 7664, 269, 1306, 971, 267, 713, 1826, 540, 2079, 1058, 2760, 581, 2808, 513, 4444, 7146, 5498, 961, 5365, 269, 594, 692, 2162, 1772, 25828, 1434, 585, 1554, 9467, 2496, 5591, 267, 25828, 2338, 1058, 711, 581, 16941, 2390, 607, 513, 4444, 7146, 5498, 961, 5365, 585, 1554, 9467, 269, 4303, 18318, 1058, 946, 2930, 10832, 602, 948, 3313, 3761, 543, 3747, 693, 1808, 3902, 2798, 267, 711, 9589, 2067, 2338, 269, 4039, 4192, 1554, 9467, 10832, 8810, 676, 1239, 616, 681, 8016, 267, 966, 310, 4338, 267, 654, 7246, 267, 543, 681, 10485, 780, 2162, 4208, 798, 865, 1082, 7270, 4363, 25828, 9467, 2496, 763, 4950, 666, 581, 606, 16079, 12068, 282, 952, 7767, 31638, 3081, 621, 568, 1434, 267, 3025, 3116, 5205, 269, 634, 1249, 568, 1804, 7270, 899, 7767, 31638, 798, 711, 1685, 3312, 1382, 610, 4161, 519, 4567, 28943, 282, 789, 16926, 22631, 547, 2328, 23739, 2275, 13616, 4930, 780, 2162, 1548, 568, 519, 476, 8618, 269, 279, 25828, 1377, 2496, 763, 476, 271, 269, 277, 1240, 25828, 1377, 568, 513, 2442, 2930, 13525, 602, 14405, 3515, 1063, 1079, 2798, 593, 513, 5750, 2687, 547, 519, 25828, 5311, 540, 2338, 269, 634, 3069, 568, 602, 952, 519, 3902, 7575, 1657, 610, 2630, 713, 1899, 267, 621, 1223, 5815, 2344, 4222, 610, 8467, 269, 1717, 267, 713, 1058, 711, 581, 16941, 2390, 607, 606, 4977, 4444, 7146, 5498, 961, 5365, 780, 2162, 1548, 568, 519, 3017, 1063, 25828, 4825, 15869, 618, 543, 681, 10485, 2496, 763, 25828, 4825, 15869, 618, 15484, 568, 1031, 547, 2697, 2009, 1489, 543, 4187, 2157, 1282, 513, 1427, 15869, 618, 538, 3902, 269, 634, 681, 10485, 267, 593, 519, 824, 1688, 267, 568, 606, 14251, 1807, 13525, 2966, 547, 2268, 2344, 11610, 780, 2162, 1215, 547, 946, 25828, 1427, 15869, 618, 585, 18711, 9467, 2496, 5978, 1239, 5267, 596, 1058, 2057, 25828, 1427, 15869, 618, 585, 18711, 9467, 607, 621, 814, 513, 476, 2568, 2600, 5821, 2557, 269, 5502, 267, 596, 1058, 946, 681, 8016, 267, 966, 310, 4338, 267, 654, 7246, 267, 543, 670, 7246, 609, 513, 1261, 1731, 514, 1306, 6062, 5750, 267, 607, 789, 616, 7318, 693, 1657, 476, 3583, 2600, 1967, 3928, 538, 9467, 780, 5591, 267, 25828, 9467, 568, 711, 1434, 267, 543, 972, 568, 1100, 598, 5477, 2963, 547, 2303, 602, 1210, 25828, 11729, 1732, 2164, 982, 1166, 6235, 513, 11777, 269, 1306, 971, 267, 621, 1058, 711, 581, 16941, 2390, 607, 606, 4977, 4444, 7146, 5498, 961, 5365, 780, 5591, 267, 938, 4255, 1397, 25828, 9467, 568, 796, 2889, 325, 3386, 267, 607, 476, 8287, 2600, 540, 6786, 616, 7301, 269, 898, 1058, 711, 581, 16941, 2390, 585, 4444, 7146, 5498, 961, 3664, 269, 5502, 267, 18318, 1058, 946, 8810, 9467, 10832, 971, 607, 519, 28731, 23848, 12039, 630, 305, 10485, 1070, 12313, 15580, 540, 7827, 267, 610, 11730, 13379, 539, 19105, 12313, 630, 309, 310, 4338, 6393, 2162, 1684, 3318, 18318, 946, 25828, 1427, 15869, 618, 2496, 5591, 267, 1247, 1082, 7270, 2303, 25828, 568, 1031, 17618, 676, 3318, 18318, 267, 789, 616, 4636, 269, 2382, 6627, 1394, 11687, 532, 540, 25828, 8761, 621, 568, 31877, 267, 543, 4061, 1360, 1906, 3318, 18318, 1131, 6451, 621, 883, 513, 11528, 9467, 1544, 269, 25828, 568, 1152, 585, 538, 23024, 27624, 18318, 780, 2162, 6904, 3301, 814, 519, 1655, 25828, 2645, 2496, 307, 15665, 8698, 568, 519, 979, 3562, 3301, 585, 25828, 9467, 269, 4706, 4359, 12747, 25828, 4806, 6284, 543, 476, 279, 25828, 5373, 2645, 267, 1519, 1427, 15869, 618, 267, 10137, 267, 942, 7997, 267, 10178, 267, 18700, 267, 9095, 267, 543, 530, 8354, 267, 1683, 3388, 18318, 991, 780, 2791, 1616, 547, 581, 513, 3811, 6006, 20090, 855, 1810, 1406, 917, 1141, 547, 1376, 780, 13981, 6006, 2344, 10115, 593, 707, 1378, 666, 581, 11566, 269, 1703, 779, 865, 1454, 1344, 856, 972, 267, 543, 621, 779, 2182, 547, 917, 1018, 779, 3020, 543, 1018, 779, 711, 780, 299, 9200, 730, 14351, 3004, 1457, 1160, 30799, 6092, 454, 5978, 605, 10115, 5049, 616, 519, 3501, 1259, 547, 1451, 6006, 10115, 269, 1411, 786, 1451, 3388, 596, 991, 547, 917, 827, 2883, 2079, 267, 12125, 267, 6006, 9584, 267, 543, 14769, 2679, 865, 596, 666, 1376, 2679, 5763, 2221, 563, 26926, 483, 476, 1626, 25980, 540, 11473, 16497, 1341, 26496, 29477, 483, 454, 26926, 483, 13159, 11038, 5811, 16497, 29477, 483, 454, 26926, 483, 476, 277, 1160, 1597, 30799, 11150, 29477, 483, 454, 26926, 483, 12333, 6103, 14351, 15873, 5811, 26643, 29477, 483, 692, 8340, 4934, 2859, 0, 1910, 961, 16086, 692, 258, 23048, 4147, 476, 1321, 13174, 28924, 16086, 476, 1708, 275, 268, 1839, 281, 6744, 28924, 16086, 7300, 692, 763, 23048, 6272, 519, 21038, 585, 1362, 476, 1321, 628, 9119, 538, 513, 1134, 3613, 19099, 6073, 865, 607, 547, 3382, 782, 519, 1271, 3584, 711, 1175, 585, 4604, 11400, 855, 585, 8013, 11400, 607, 1134, 269, 898, 568, 4061, 2629, 547, 2638, 585, 519, 21038, 5402, 543, 1287, 5965, 9935, 585, 519, 981, 269, 634 ]

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

[ 5286, 1477, 825, 1104, 21267, 28272, 607, 12301, 5897, 825, 535, 815, 25754, 1535, 281, 476, 272, 1315, 630, 272, 1341, 476, 1839, 2608, 1535, 2878, 476, 273, 3418, 825, 1948, 13127, 378, 483, 418, 493, 496, 29219, 7511, 30317, 27381, 510, 29219, 1477, 825, 1535, 318, 9557, 815, 5286, 7456, 1231, 10628, 8987, 272, 267, 476, 272, 267, 476, 1556, 3418, 825, 1820, 3287, 318, 9557, 3418, 825, 586, 318, 9557, 815, 1592, 9852, 777, 6600, 267, 1535, 318, 9557, 17903, 825, 1948, 22614, 487, 505, 421, 350, 379, 418, 493, 496, 29219, 1477, 825, 1535, 815, 5286, 7456, 1231, 10628, 8987, 272, 267, 476, 272, 3418, 825, 586, 815, 1592, 9852, 777, 10857, 10033, 512, 281, 18848, 9792, 318, 5793, 335, 25544, 3287, 318, 9557, 267, 586, 318, 9557, 267, 512, 1070, 1535, 17903, 825, 1948, 476, 13200, 375, 18713, 378, 1477, 825, 12301, 8807, 2682, 2891, 25419, 9792, 31992, 14744, 825, 12301, 31892, 2660, 3287, 318, 9557, 267, 586, 318, 9557, 267, 2681, 6889, 528, 1052, 14744, 825, 12301, 19502, 3287, 267, 586, 3418, 825, 12301, 269, 5586, 754, 8443, 257, 25419, 9792, 31992, 2580, 834, 2675, 13593, 2798, 19312, 3418, 825, 12301, 20481, 14052, 0, 11133, 3266, 815, 703, 9272, 2891, 28808, 516, 572, 796, 562, 14243, 1067, 334, 1303, 3266, 27082, 16343, 281, 834, 11723, 604, 1003, 3266, 4939, 476, 273, 2652, 476, 271, 912, 825, 1820, 2891, 19324, 1612, 5602, 12828, 912, 825, 1820, 2891, 19324, 2215, 334, 5602, 0, 5320, 815, 3403, 2891, 28808, 25564, 19448, 5493, 629, 571, 281, 19515, 5320, 318, 272, 815, 1592, 27182, 2020, 2745, 2891, 19324, 5493, 785, 668, 334, 8442, 952, 2262, 2652, 1592, 263, 516, 951, 539, 27182, 318, 272, 4297, 3116, 1820, 2891, 5591, 1965, 5493, 785, 668, 334, 15419 ]

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

[ 2496, 321, 264, 594, 993, 18516, 1018, 596, 616, 3843, 547, 2161, 1934, 269, 898, 568, 15458, 952, 700, 4016, 547, 930, 20698, 337, 836, 1014, 610, 547, 16070, 11610, 827, 519, 1990, 7852, 269, 2690, 930, 2601, 621, 729, 10268, 607, 513, 5835, 4216, 6031, 25231, 7508, 269, 898, 4667, 21453, 2390, 882, 1933, 10756, 320, 264, 594, 1589, 972, 616, 1614, 4830, 10974, 267, 1139, 3151, 602, 519, 12718, 543, 519, 29950, 29226, 10446, 269, 1924, 519, 10974, 1131, 581, 912, 17951, 548, 29352, 676, 519, 12718, 12361, 315, 9064, 1012, 454, 17951, 548, 29352, 676, 519, 29950, 12361, 315, 12978, 1012, 454, 345, 3845, 14360, 676, 519, 29950, 12361, 345, 1012, 692, 321, 264, 2252, 713, 2783, 568, 1318, 267, 972, 1131, 581, 1175, 1079, 4717, 5050, 525, 269, 700, 1797, 16070, 11610, 692, 763, 1966, 568, 602, 1775, 993, 711, 2386, 799, 267, 952, 1022, 267, 568, 1318, 692, 15463, 1529, 328, 1767, 912, 320, 264, 594, 1589, 972, 616, 1614, 4830, 10974, 267, 1139, 3151, 602, 519, 12718, 543, 519, 29950, 29226, 10446, 269, 1924, 519, 10974, 1131, 581, 912, 17951, 548, 29352, 676, 519, 12718, 16564, 454, 17951, 548, 29352, 676, 519, 29950, 6543, 499, 454, 345, 3845, 14360, 676, 519, 29950, 1990, 454, 13914, 827, 519, 1739, 281, 1548, 952, 519, 12718, 729, 6378, 267, 875, 1082, 4830, 10974, 1131, 596, 723, 286, 1215, 1082, 616, 3773, 676, 3850, 519, 12718, 547, 17967, 2496, 15463, 1529, 328, 1767, 912, 321, 264, 2252, 713, 2783, 568, 1318, 267, 972, 1131, 581, 1175, 1079, 4717, 5050, 525, 269, 700, 1797, 16070, 11610, 454, 17951, 983, 11610, 5726, 2501, 538, 607, 513, 1101, 7533, 540, 519, 4834, 540, 5163, 269, 2334, 2501, 513, 7008, 540, 3268, 2663, 8259, 596, 616, 3168, 585, 2500, 11673, 799, 596, 798, 711, 3100, 547, 581, 780, 299, 5425, 31850, 545, 626, 454, 302, 16967, 745, 514, 1767, 912, 13914, 827, 519, 1739, 281, 1548, 952, 519, 12718, 729, 6378, 267, 875, 1082, 4830, 10974, 1131, 596, 723, 286, 1215, 1082, 616, 3773, 676, 3850, 519, 12718, 547, 17967, 286, 17951, 983, 11610, 5726, 2501, 538, 607, 513, 1101, 7533, 540, 519, 4834, 540, 5163, 269, 2334, 2501, 513, 7008, 540, 3268, 2663, 8259, 596, 616, 3168, 585, 2500, 11673, 799, 596, 798, 711, 3100, 547, 581, 563, 302, 3591, 269, 1280, 326, 582, 513, 3364, 281, 634, 7455, 3294, 4330, 4440, 814, 519, 3337, 12361, 337, 815, 678, 3709, 334, 9574, 535, 18750, 12101, 9064, 6661, 271, 1012, 269, 1924, 751, 322, 333, 1227, 267, 649, 723, 1175, 1079, 10974, 952, 519, 12718, 568, 15914, 286, 12361, 315, 9064, 267, 1422, 12978, 1012, 888, 296, 993, 20994, 267, 1775, 993, 2141, 11821, 950, 1775, 2097, 2066, 2042, 5473, 1079, 7285, 269, 594, 993, 711, 2386, 950, 519, 7285, 616, 4830, 610, 711, 269, 1809, 2094, 1934, 972, 616, 1100, 11508, 267, 1775, 7058, 789, 616, 4830, 888, 3383, 568, 513, 264, 1318, 29845, 952, 649, 5372, 12361, 315, 25346, 1990, 1012, 676, 12361, 315, 2765, 18097, 345, 2410, 323, 1422, 9064, 348, 1422, 25346, 1422, 9064, 1012, 2496, 8133, 563, 9827, 281, 4595, 519, 18700, 568, 7833, 267, 1990, 568, 513, 5276, 1599, 540, 12361, 315, 12978, 1012, 780, 299, 5425, 31850, 545, 626, 692, 1012, 1548, 568, 519, 595, 2643, 5407, 266, 289, 1737, 3590, 9046, 2496, 763, 595, 2643, 5407, 266, 289, 1737, 3590, 9046, 568, 513, 6323, 1966, 602, 3322, 513, 12718, 609, 513, 29950, 5116, 593, 1283, 540, 621, 269, 634, 3804, 568, 547, 3313, 519, 5163, 540, 519, 29950, 607, 519, 12718, 29226, 780, 1012, 1548, 616, 519, 1883, 2035, 3238, 538, 6061, 519, 595, 2643, 5407, 266, 289, 1737, 3590, 9046, 2496, 763, 1883, 2035, 3238, 538, 6061, 713, 1966, 616, 24364, 5163, 267, 1298, 686, 7065, 531, 3196, 267, 543, 11508, 269, 1452, 2035, 616, 1031, 547, 5659, 519, 4229, 9117, 593, 519, 29950, 543, 3313, 922, 5163, 780, 1012, 1548, 616, 519, 3268, 547, 4194, 519, 595, 2643, 5407, 266, 289, 1737, 3590, 9046, 2496, 763, 3268, 547, 4194, 713, 1966, 616, 281, 476, 272, 264, 10576, 519, 4229, 9117, 593, 519, 29950, 267, 1519, 8904, 267, 3339, 3196, 267, 543, 11508, 269, 476, 273, 264, 2422, 13053, 781, 2034, 1876, 547, 2328, 4834, 540, 5163, 585, 519, 29950, 538, 519, 1535, 543, 586, 8846, 269, 476, 274, 264, 15233, 519, 2175, 585, 24364, 11466, 547, 3313, 519, 2121, 18165, 593, 519, 29950, 269, 476, 275, 264, 2422, 519, 4834, 540, 5163, 543, 18165, 547, 4194, 585, 519, 10231, 543, 16070, 10231, 540, 519, 29950, 269, 476, 276, 264, 2422, 891, 2418, 547, 3313, 519, 5163, 540, 519, 29950, 780, 1012, 1548, 616, 930, 1455, 9073, 950, 6061, 519, 595, 2643, 5407, 266, 289, 1737, 3590, 9046, 2496, 5278, 1455, 9073, 950, 6061, 713, 1966, 1331, 30534, 547, 1331, 782, 519, 4229, 9117, 593, 519, 29950, 267, 711, 6236, 519, 4287, 540, 519, 4229, 267, 543, 711, 5265, 4259, 909, 519, 4834, 540, 5163, 543, 18165, 780, 1012, 1215, 666, 594, 2638, 1250, 3070, 547, 519, 595, 2643, 5407, 266, 289, 1737, 3590, 9046, 2496, 2791, 666, 2638, 707, 3070, 676, 7421, 519, 2168, 2601, 629, 30276, 540, 519, 2164, 267, 971, 607, 2436, 519, 29950, 781, 5163, 13292, 519, 4397, 2623, 269, 1411, 666, 849, 5635, 707, 3070, 547, 1634, 3435, 610, 946, 2780, 13502, 547, 13182, 707, 2164, 780, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 274, 454, 21366, 454, 275, 2190, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 1724, 454, 21366, 454, 4343, 277, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 275, 454, 21366, 454, 22430, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 1428, 454, 21366, 454, 5325, 275, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 3066, 454, 21366, 454, 273, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 273, 454, 21366, 454, 273, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 277, 454, 21366, 454, 20542, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 279, 454, 21366, 454, 24487, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 272, 454, 21366, 454, 3422, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 2641, 454, 21366, 454, 280, 6507, 0, 9223, 692, 258, 2913, 1535, 581, 513, 4351, 4756, 602, 4564, 519, 1377, 540, 7280, 538, 519, 1973, 630, 17524, 28819, 13718, 4131, 1535, 581, 513, 4351, 4756, 602, 4564, 519, 1377, 540, 7280, 538, 519, 1973, 630, 17524, 28819, 829, 1232, 559, 3438, 540, 1973, 264, 1310, 513, 476, 1321, 5662, 3728, 269, 27539, 602, 585, 1004, 896, 476, 2004, 1296, 2025, 267, 1535, 814, 513, 3892, 602, 568, 5111, 3339, 267, 609, 1611, 13179, 815, 476, 6321, 543, 6059, 3044, 11539, 21566, 815, 476, 5655, 269, 589, 1449, 1267, 1535, 2999, 476, 2412, 568, 606, 16315, 540, 4049, 4430, 7378, 267, 543, 6646, 568, 2356, 11311, 780, 5416, 264, 1548, 568, 519, 5506, 602, 267, 593, 513, 2582, 1449, 267, 1535, 2999, 476, 2412, 286, 630, 305, 895, 707, 2626, 547, 2185, 8918, 4025, 24355, 6357, 264, 14597, 513, 4387, 3096, 519, 3328, 1535, 585, 1079, 4255, 3144, 827, 513, 3018, 6306, 269, 1548, 666, 649, 2161, 827, 519, 5506, 3892, 540, 1535, 286, 670, 842, 281, 6423, 14497, 476, 277, 269, 272, 780, 763, 5506, 3892, 540, 1535, 568, 5111, 3339, 609, 13179, 343, 815, 476, 6321, 543, 21566, 343, 815, 476, 2641, 269, 876, 7868, 5506, 3892, 540, 1535, 568, 711, 3339, 269, 3396, 1109, 763, 5506, 3892, 540, 1535, 568, 5111, 3339, 609, 13179, 343, 815, 476, 6321, 543, 21566, 343, 815, 476, 3066, 269, 3583, 7868, 5506, 3892, 540, 1535, 568, 5111, 3339, 609, 13179, 343, 815, 476, 6321, 543, 21566, 343, 815, 476, 5655, 780, 1432, 568, 519, 5506, 602, 1535, 2999, 476, 2412, 286, 630, 305, 895, 707, 2626, 547, 2185, 8918, 4025, 24355, 6262, 264, 19244, 851, 630, 321, 264, 585, 562, 815, 476, 274, 4255, 3144, 513, 3018, 6306, 269, 630, 305, 895, 707, 2626, 547, 2185, 8918, 4025, 24355, 5560, 264, 19244, 851, 630, 321, 264, 585, 562, 815, 476, 276, 4255, 3144, 513, 3018, 6306, 269, 630, 305, 895, 707, 2626, 547, 2185, 8918, 4025, 24355, 16216, 264, 14424, 707, 4267, 547, 2694, 630, 320, 1070, 630, 321, 1070, 630, 322, 1070, 543, 630, 323, 1040, 9894, 519, 17831, 6175, 607, 562, 2799, 2496, 8133, 5591, 692, 23737, 1018, 713, 1522, 17538, 952, 596, 941, 513, 4387, 610, 513, 12016, 780, 763, 811, 4255, 513, 3461, 29349, 267, 519, 6793, 568, 519, 2963, 585, 3668, 540, 7378, 780, 763, 811, 4255, 513, 3461, 29349, 267, 519, 6793, 568, 519, 2963, 585, 4430, 7378, 269, 3396, 1109, 307, 692, 515, 811, 4255, 513, 3461, 29349, 267, 519, 21260, 568, 519, 2963, 585, 3668, 540, 7378, 780, 763, 811, 4255, 513, 3461, 29349, 267, 519, 21260, 568, 519, 2963, 585, 4430, 7378, 780, 11405, 281, 7042, 5416, 264, 9717, 602, 13179, 815, 476, 6321, 2073, 21566, 815, 476, 5655, 692, 303, 11583, 2999, 476, 2412, 264, 815, 623, 9230, 311, 268, 19031, 8358, 17385, 2999, 630, 2412, 268, 6321, 8358, 5655, 994, 284, 623, 263, 313, 2999, 910, 271, 269, 4343, 272, 271, 994, 284, 476, 271, 269, 31134, 271, 692, 6357, 264, 9717, 602, 13179, 343, 815, 476, 6321, 267, 21566, 343, 815, 476, 2641, 269, 876, 692, 303, 11583, 2999, 476, 2412, 264, 815, 623, 263, 313, 2999, 630, 2412, 268, 6321, 8358, 2641, 994, 284, 623, 263, 313, 2999, 910, 271, 269, 278, 8618, 280, 994, 284, 476, 271, 269, 23417, 277, 692, 6262, 264, 1280, 562, 815, 476, 274, 267, 21566, 343, 815, 476, 2190, 269, 1839, 692, 303, 11583, 2999, 476, 2412, 264, 815, 623, 263, 313, 2999, 476, 2412, 268, 6321, 8358, 2190, 269, 1839, 994, 284, 623, 263, 313, 2999, 910, 271, 269, 4792, 280, 279, 994, 284, 476, 271, 269, 22724, 277, 692, 5560, 264, 1280, 562, 815, 476, 276, 267, 21566, 343, 815, 476, 1240, 269, 4281, 692, 303, 11583, 2999, 476, 2412, 264, 815, 623, 263, 313, 2999, 476, 2412, 268, 6321, 8358, 1240, 269, 4281, 994, 284, 623, 263, 313, 2999, 910, 271, 269, 5952, 273, 271, 994, 284, 476, 271, 269, 3192, 278, 692, 16216, 264, 9811, 780, 27784, 641, 5406, 645, 7868, 811, 4255, 513, 3461, 29349, 32586, 6793, 568, 519, 2963, 585, 4430, 7378, 692, 2971, 2423, 333, 3213, 1231, 692, 10870, 1231, 666, 581, 28099, 14855, 585, 32263, 13344, 269, 0, 306, 12944, 267, 5147, 476, 2641, 267, 476, 1001, 273, 692, 1103, 606, 4505, 2022, 594, 4682, 998, 519, 4834, 8720, 19437, 540, 13392, 22016, 1384, 2252, 8870, 3435, 585, 1535, 273, 1109, 268, 29325, 273, 1109, 284, 674, 1109, 1410, 626, 267, 621, 1590, 581, 3020, 602, 1384, 273, 5652, 815, 1990, 910, 674, 345, 268, 272, 1109, 7116, 667, 10275, 273, 692, 18750, 268, 5652, 264, 273, 1109, 284, 737, 273, 344, 273, 1109, 266, 674, 1110, 667, 10275, 273, 692, 8489, 1109, 343, 815, 1990, 268, 5652, 610, 1535, 815, 910, 263, 345, 268, 5652, 1070, 543, 1990, 568, 1022, 21225, 585, 799, 519, 22606, 11201, 6818, 269, 1109, 2080, 972, 568, 519, 3606, 10421, 602, 476, 273, 5652, 345, 1341, 674, 815, 910, 272, 610, 476, 272, 1110, 476, 279, 267, 610, 476, 271, 1110, 476, 275, 267, 952, 1109, 291, 10275, 273, 28812, 513, 4009, 780, 273, 344, 815, 1990, 910, 674, 345, 268, 272, 1109, 7116, 667, 268, 272, 692, 18750, 10275, 264, 273, 1109, 284, 586, 273, 1109, 266, 674, 1110, 667, 268, 272, 692, 763, 7872, 540, 513, 7934, 568, 5462, 676, 519, 1871, 540, 674, 267, 855, 891, 4834, 1590, 2291, 256, 7316, 585, 1535, 543, 586, 547, 723, 8870, 3435, 267, 649, 723, 602, 674, 1590, 581, 513, 13392, 21225, 1110, 25222, 667, 267, 689, 1109, 343, 273, 1109, 268, 29325, 273, 1109, 284, 674, 780, 2414, 1205, 5133, 593, 519, 1297, 3069, 7271, 543, 875, 519, 10616, 616, 1114, 689, 519, 19437, 2015, 519, 13392, 22016, 540, 476, 866, 1384, 272, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 280, 267, 476, 1556, 267, 476, 1626, 267, 476, 1704, 692 ]

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

[ 589, 4569, 1299, 7177, 7420, 692, 1892, 3775, 3046, 321, 22603, 454, 1103, 5758, 267, 674, 9689, 18165, 666, 581, 31965, 676, 4509, 513, 24999, 1063, 6418, 543, 9018, 11369, 1115, 563, 13681, 3046, 321, 22603, 454, 17098, 3025, 281, 594, 991, 519, 2634, 540, 606, 11653, 952, 4896, 856, 972, 30128, 547, 948, 269, 594, 723, 513, 18544, 538, 4569, 689, 772, 1993, 307, 855, 1223, 946, 930, 1702, 689, 519, 5100, 652, 1004, 268, 19296, 267, 594, 993, 1631, 606, 4810, 32063, 543, 9811, 3025, 267, 649, 991, 5100, 1004, 3257, 4070, 1932, 268, 1250, 2979, 4110, 814, 19658, 1250, 960, 607, 1034, 1004, 538, 4070, 3668, 12058, 13718, 296, 1131, 899, 547, 917, 875, 8030, 5173, 519, 3196, 540, 11508, 1063, 7252, 855, 538, 513, 711, 865, 24735, 2796, 281, 594, 1174, 519, 7954, 540, 11508, 543, 12719, 621, 950, 2016, 513, 2527, 543, 513, 11664, 540, 11979, 543, 15452, 11508, 267, 855, 1250, 2243, 568, 711, 865, 2241, 899, 744, 3722, 8212, 594, 3494, 780, 304, 281, 875, 798, 649, 5173, 11508, 6236, 2627, 1858, 609, 1079, 9838, 6878, 267, 538, 713, 2013, 267, 5594, 7148, 1229, 595, 312, 299, 18853, 8991, 269, 2015, 713, 281, 594, 723, 835, 7148, 1229, 12718, 3330, 1776, 602, 568, 9838, 268, 899, 10518, 532, 11369, 1115, 610, 5068, 11680, 269, 1775, 1174, 602, 952, 2527, 3330, 519, 1283, 19943, 4679, 676, 11423, 621, 609, 513, 5277, 267, 621, 11851, 338, 14694, 2604, 593, 519, 5011, 540, 519, 13412, 8708, 543, 519, 8708, 632, 13257, 5594, 268, 713, 4679, 519, 8880, 3196, 25116, 593, 519, 8708, 621, 568, 1369, 270, 935, 22633, 543, 4061, 519, 535, 2774, 1308, 3196, 1063, 519, 1079, 3615, 4679, 780, 1692, 568, 713, 3196, 7229, 286, 1403, 1775, 1039, 1216, 547, 513, 19943, 543, 922, 1369, 1776, 19943, 267, 875, 798, 649, 3313, 519, 2799, 535, 2774, 1308, 3196, 1063, 519, 1079, 11369, 1115, 286, 594, 1589, 922, 513, 1599, 540, 3346, 2627, 1858, 540, 519, 3615, 609, 519, 2527, 540, 519, 6219, 3773, 630, 684, 6134, 569, 7856, 538, 519, 19943, 264, 855, 1775, 993, 711, 606, 11653, 1862, 1403, 4896, 666, 2995, 803, 875, 547, 5173, 713, 267, 1256, 10199, 267, 621, 1131, 581, 7494, 15874, 268, 1210, 2979, 1131, 581, 5363, 607, 1775, 993, 3833, 1434, 693, 621, 780, 296, 723, 513, 4743, 713, 568, 513, 3833, 7294, 547, 5173, 8308, 543, 1082, 2188, 12189, 519, 1267, 855, 952, 2576, 666, 13599, 803, 609, 513, 2596, 1259, 547, 16977, 971, 513, 3196, 267, 621, 1131, 581, 1390, 607, 594, 993, 1175, 3843, 547, 1174, 875, 535, 2774, 1308, 4229, 616, 1198, 539, 950, 4657, 519, 5007, 2627, 1858, 3346, 286, 1131, 1079, 1360, 7381, 543, 1507, 8006, 11369, 1115, 1267, 538, 1447, 535, 2774, 1308, 3196, 982, 1079, 1360, 2110, 543, 2647, 11369, 1115, 30528, 2496, 763, 4320, 568, 3586, 269, 594, 993, 3843, 547, 7413, 519, 11508, 1934, 543, 1175, 607, 649, 666, 11694, 519, 4320, 540, 513, 9112, 3337, 2016, 513, 6378, 2627, 1858, 540, 1570, 547, 1118, 519, 3337, 267, 594, 3494, 649, 666, 849, 11694, 610, 7413, 11508, 607, 1134, 855, 1775, 1810, 1405, 917, 585, 1978, 269, 1677, 803, 519, 8880, 3444, 3296, 540, 519, 12718, 693, 1022, 2016, 4463, 4481, 267, 543, 519, 7222, 14694, 3196, 25116, 693, 602, 4463, 267, 786, 581, 513, 1599, 540, 519, 2604, 25116, 609, 8904, 593, 621, 689, 519, 2527, 1657, 267, 7551, 1818, 519, 3448, 14694, 3196, 2016, 513, 4463, 538, 519, 8708, 267, 11186, 268, 594, 993, 711, 2386, 1862, 286, 594, 1175, 991, 917, 875, 547, 1689, 519, 3337, 540, 1250, 1843, 865, 602, 950, 4904, 543, 30528, 538, 1776, 9838, 630, 8117, 8900, 264, 1843, 267, 519, 11508, 1063, 519, 3615, 568, 31965, 28560, 4896, 666, 2626, 610, 1463, 803, 547, 4466, 835, 540, 10626, 267, 922, 25442, 569, 15874, 256, 543, 1403, 519, 2626, 1463, 338, 803, 547, 1250, 10700, 1267, 799, 1775, 3494, 568, 2009, 267, 789, 786, 4309, 513, 2603, 811, 543, 713, 568, 12517, 1250, 8247, 268, 1403, 2576, 2337, 803, 1934, 543, 594, 946, 602, 948, 547, 3142, 1250, 2856, 547, 4641, 267, 789, 786, 581, 1360, 6126, 269, 12552, 10611, 984, 645, 780, 16942, 281, 1496, 16942, 2232, 6569, 676, 21927, 6540, 8310, 12995, 676, 513, 15645, 1807, 912, 22102, 9930, 3373, 4009, 2609, 1315, 28497, 17613, 1315, 16453, 4229, 1315, 19358, 1113, 11508, 4229, 1315, 5681, 540, 8126, 1113, 11508, 4229, 1535, 8953, 540, 2962, 9847, 674, 9689, 8776, 4302, 16317, 19370, 666, 2965, 581, 12193, 538, 2259, 676, 1896, 1114, 1797, 543, 547, 1896, 1114, 2157, 540, 6111, 16317, 333, 321, 2433, 1703, 786, 581, 1100, 2582, 1871, 2626, 1547, 674, 9689, 18165, 666, 1152, 581, 10567, 547, 2887, 1369, 513, 6512, 540, 2418, 16317, 8310, 12995, 912, 296, 1810, 1405, 7357, 1174, 519, 2663, 851, 540, 519, 1966, 3948, 1547, 1411, 666, 2569, 11508, 18165, 547, 4642, 676, 4509, 513, 24999, 1063, 6418, 543, 9018, 11369, 1115, 16317, 2252, 972, 1590, 581, 930, 3346, 1287, 596, 1131, 991, 547, 1413, 693, 1896, 1114, 19383, 543, 1265, 606, 6099, 835, 16317, 301, 573, 636, 1767, 912, 296, 1810, 1405, 7357, 1174, 519, 2663, 851, 540, 519, 1966, 3948, 1547, 1411, 666, 2569, 11508, 18165, 547, 4642, 676, 4509, 513, 24999, 1063, 6418, 543, 9018, 11369, 1115, 16317, 2252, 972, 1590, 581, 930, 3346, 1287, 596, 1131, 991, 547, 1413, 693, 1896, 1114, 19383, 543, 1265, 606, 6099, 835, 4586, 13070, 872, 267, 543, 594, 1294, 713, 2944, 630, 663, 711, 2944, 264, 538, 2259, 609, 9625, 476, 276, 11829, 517, 5068, 11369, 1115, 269, 769, 930, 2665, 267, 972, 568, 606, 9018, 9067, 2282, 519, 1283, 540, 519, 19943, 602, 7182, 875, 2484, 519, 1283, 19943, 786, 6749, 883, 519, 2539, 835, 269, 1403, 713, 2488, 2614, 24999, 547, 1450, 585, 519, 1283, 19943, 547, 581, 4904, 267, 855, 711, 22775, 2614, 547, 5905, 519, 5011, 540, 519, 2539, 19943, 267, 972, 568, 1100, 11508, 689, 519, 5011, 780, 2691, 711, 2944, 267, 621, 666, 581, 513, 7703, 547, 5094, 519, 1079, 11369, 1115, 780, 3383, 513, 4999, 540, 10747, 1141, 519, 9067, 2115, 547, 581, 585, 513, 2016, 24999, 267, 543, 8888, 519, 19943, 585, 513, 2016, 22636, 950, 4904, 602, 568, 1447, 982, 602, 24999, 1058, 1205, 596, 2282, 4642, 11508, 780, 21446, 2299, 267, 621, 1522, 948, 547, 1683, 835, 610, 811, 29504, 4433, 264, 593, 519, 5377, 19943, 4882, 331, 25660, 268, 1097, 331, 5407, 267, 543, 6802, 2011, 610, 5277, 883, 519, 2230, 269, 2334, 2604, 1058, 948, 5094, 519, 1079, 780, 2467, 616, 7899, 540, 2147, 11508, 2042, 10023, 13999, 593, 19527, 610, 12311, 2471, 543, 519, 3070, 547, 713, 2243, 786, 581, 2147, 269, 3807, 5173, 519, 3339, 3196, 1063, 519, 1079, 7148, 1229, 26561, 269, 4706, 4440, 1175, 1945, 899, 692, 31863, 3196, 815, 30212, 3196, 2608, 5430, 263, 1492, 512, 1653, 5086, 2020, 763, 30212, 3196, 1373, 8406, 1141, 544, 568, 519, 2527, 540, 519, 1283, 834, 321, 3089, 564, 6231, 1103, 519, 1034, 1455, 2203, 540, 11508, 630, 293, 284, 19031, 301, 264, 519, 11508, 3196, 568, 4830, 540, 3346, 1858, 630, 2252, 519, 1858, 568, 2799, 519, 2604, 6971, 543, 891, 2360, 616, 2356, 2808, 547, 22599, 856, 1040, 1717, 713, 568, 1152, 513, 2203, 540, 875, 11508, 1568, 267, 621, 781, 711, 6508, 689, 1101, 3741, 269, 4033, 3631, 949, 581, 811, 4977, 538, 930, 2665, 910, 585, 1383, 621, 781, 4922, 5156, 602, 4227, 519, 2604, 538, 1286, 1119, 637, 3947, 596, 811, 17945, 593, 6777, 1317, 621, 4679, 519, 3346, 1858, 269, 1403, 596, 2479, 991, 6325, 2164, 689, 513, 11508, 1966, 596, 723, 547, 798, 6901, 269, 5794, 7964, 2356, 2268, 2196, 3118, 11508, 267, 594, 1810, 1405, 1589, 789, 2119, 543, 5173, 621, 780, 1012, 476, 272, 269, 1548, 568, 519, 3483, 540, 12719, 11508, 1063, 7148, 1229, 26561, 2496, 763, 3483, 540, 12719, 11508, 1063, 7148, 1229, 26561, 568, 547, 3313, 519, 2179, 540, 4187, 610, 3196, 602, 568, 6383, 950, 1079, 26561, 609, 1114, 5603, 4394, 2097, 883, 3346, 609, 1142, 824, 269, 901, 1344, 568, 1271, 538, 4702, 543, 1374, 607, 621, 666, 1860, 519, 2773, 543, 15006, 540, 7344, 1949, 780, 1012, 476, 273, 269, 1215, 568, 11508, 1063, 7148, 1229, 26561, 7229, 2496, 293, 9689, 1063, 7148, 1229, 26561, 666, 581, 7229, 1210, 519, 4542, 281, 674, 815, 13179, 265, 301, 267, 1141, 674, 568, 519, 3196, 540, 11508, 267, 13179, 568, 519, 11664, 540, 11508, 267, 543, 715, 568, 519, 3339, 3196, 1063, 519, 1079, 26561, 269, 634, 11664, 540, 11508, 568, 8200, 593, 519, 2326, 543, 2627, 3601, 540, 519, 26561, 780, 1012, 476, 274, 269, 1548, 616, 930, 2188, 602, 666, 1860, 519, 11508, 1063, 7148, 1229, 26561, 2496, 5278, 2188, 602, 666, 1860, 519, 11508, 1063, 7148, 1229, 26561, 1331, 519, 1570, 543, 2627, 3601, 540, 519, 26561, 267, 519, 2179, 540, 3196, 610, 2604, 4294, 267, 519, 5086, 693, 799, 519, 26561, 2097, 883, 3346, 267, 543, 519, 3432, 540, 519, 26561, 780, 1012, 476, 275, 269, 1215, 666, 519, 7229, 11508, 1063, 7148, 1229, 26561, 581, 1031, 538, 4702, 543, 1374, 2496, 763, 7229, 11508, 1063, 7148, 1229, 26561, 666, 581, 1031, 538, 4702, 543, 1374, 547, 3313, 519, 3617, 2326, 543, 2627, 23541, 547, 2569, 11508, 543, 2087, 519, 2773, 540, 7344, 1949, 269, 898, 666, 849, 948, 538, 8939, 519, 1318, 2179, 540, 3196, 543, 2604, 547, 3035, 6099, 2773, 543, 2061, 7050, 5957, 543, 15237, 593, 519, 26561, 780, 1012, 476, 276, 269, 3657, 972, 1022, 1483, 8996, 3156, 585, 12719, 11508, 1063, 7148, 1229, 26561, 2496, 8133, 267, 972, 616, 1082, 1483, 8996, 3156, 585, 12719, 11508, 1063, 7148, 1229, 26561, 269, 1280, 1383, 267, 621, 666, 581, 1031, 538, 519, 1374, 540, 24039, 543, 26971, 538, 12227, 267, 607, 1134, 607, 538, 519, 16669, 2872, 585, 8159, 519, 2179, 540, 11508, 1063, 2599, 3334, 269, 898, 666, 849, 581, 4294, 538, 519, 1374, 540, 14382, 12060, 543, 2564, 3457, 547, 2327, 5347, 543, 3608, 3350, 780, 1892, 18190, 8212, 454, 28806, 454, 4391, 454, 21366, 454, 273, 298, 454, 1892, 23317, 454, 28806, 454, 275, 454, 21366, 454, 273, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 275, 454, 21366, 454, 276, 4037, 454, 1892, 18190, 8212, 454, 28806, 454, 273, 454, 21366, 454, 272, 298, 454, 1892, 20996, 7177, 454, 28806, 454, 280, 454, 21366, 454, 272, 298, 454, 1892, 18190, 8212, 454, 28806, 454, 276, 454, 21366, 454, 272, 298, 454, 1892, 4937, 7177, 454, 28806, 454, 1321, 454, 21366, 454, 274, 298, 454, 1892, 4937, 7177, 454, 28806, 454, 1839, 454, 21366, 454, 280, 298, 454, 1892, 23317, 454, 28806, 454, 3953, 454, 21366, 454, 272, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 1240, 454, 21366, 454, 273, 298, 0, 258, 3184, 476, 274, 5569, 692, 3499, 10574, 23113, 543, 27122, 454, 21803, 631, 10248, 454, 1103, 713, 11000, 454, 1892, 21642, 631, 10248, 9046, 454, 1700, 10417, 454, 1700, 8617, 7215, 454, 1700, 1490, 1393, 3196, 5690, 454, 1700, 6988, 454, 1892, 5685, 924, 3557, 26682, 454, 1892, 12928, 3578, 5336, 528, 5142, 6261, 337, 3430, 263, 298, 6573, 264, 23990, 454, 1700, 2776, 3491, 22422, 454, 1700, 6988, 454, 15031, 1181, 631, 10248, 454, 2704, 326, 3596, 916, 454, 763, 9046, 454, 1892, 9717, 513, 1257, 570, 543, 513, 4806, 623, 267, 2638, 454, 31347, 623, 4386, 538, 570, 454, 1700, 19838, 281, 570, 815, 2715, 320, 13741, 322, 6277, 322, 629, 6277, 322, 321, 764, 764, 13741, 13741, 764, 322, 8679, 1700, 4855, 782, 20825, 540, 4806, 623, 815, 536, 25900, 454, 1892, 1703, 616, 7648, 540, 4806, 12805, 454, 1700, 15531, 968, 13627, 1493, 892, 6474, 902, 454, 1700, 15531, 2789, 3270, 3092, 10756, 3963, 21642, 631, 10248, 888, 1892, 10241, 538, 32492, 10334, 454, 1700, 5027, 5311, 568, 513, 1279, 2262, 630, 528, 1257, 264, 936, 513, 476, 275, 268, 12072, 9904, 454, 1700, 717, 22721, 307, 294, 8980, 307, 294, 28566, 7563, 28566, 6311, 22721, 12839, 294, 22721, 12839, 294, 3722, 31769, 8980, 6717, 6717, 7563, 2969, 14011, 454, 2969, 8150, 3722, 12839, 2969, 8150, 294, 7563, 294, 3722, 6311, 7563, 28566, 12839, 294, 6311, 307, 8980, 8980 ]

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

[ 1341, 834, 318, 5016, 825, 952, 1893, 318, 2839, 269, 1742, 5976, 2891, 318, 5472, 24417, 12584, 8442, 568, 6936, 912, 1038, 2619, 815, 2619, 318, 3650, 518, 1341, 1893, 318, 2839, 1341, 834, 269, 6255, 6447, 5016, 825, 3116, 912, 1038, 8400, 815, 17093, 14277, 291, 12442, 257, 6012, 992, 2639, 1038, 2012, 815, 17093, 14277, 3682, 339, 4377, 2012, 257, 6012, 992, 2639, 1038, 2783, 815, 17093, 14277, 3682, 339, 4377, 2783, 257, 6012, 992, 6540, 1038, 2619, 815, 630, 12949, 318, 3650, 518, 1341, 8400, 1341, 834, 318, 257, 1341, 2012, 1341, 834, 281, 834, 1341, 2783, 1341, 834, 630, 4840, 3546, 1341, 1893, 318, 2839, 1341, 834, 17983, 1341, 834, 269, 6255, 6447, 15419, 825, 3113, 22182, 318, 6255, 6447, 9638, 987, 2020, 825, 2132, 6936, 7531, 3698, 2132, 318, 9873, 29254, 267, 547, 318, 14142, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 3217, 513, 835, 4737, 1239, 18134, 547, 11571, 585, 519, 1871, 476, 9873, 630, 8976, 288, 781, 454, 1363, 834, 7224, 3210, 257, 15262, 994, 825, 910, 1729, 318, 14142, 281, 1592, 540, 6241, 4408, 538, 799, 519, 535, 551, 814, 547, 1413, 538, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 4958, 5281, 513, 1592, 540, 519, 9587, 5627, 519, 1871, 476, 9873, 454, 825, 29185, 825, 4994, 19056, 815, 17093, 28827, 314, 271, 2639, 825, 547, 5091, 1886, 815, 29129, 825, 585, 1775, 538, 547, 318, 14142, 912, 1038, 952, 17093, 5157, 6012, 8161, 19056, 316, 2652, 476, 9873, 912, 2018, 547, 5091, 1886, 6910, 263, 1729, 318, 14142, 28827, 9217, 4917, 1038, 3116, 912, 2018, 3136, 692, 825, 2132, 547, 5091, 1886, 7531, 3698, 5352, 21234, 14682, 1429, 29254, 267, 1449, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 1239, 18134, 609, 519, 1217, 725, 547, 5352, 519, 2140, 585, 513, 2789, 454, 1363, 8255, 3113, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 4958, 5281, 513, 5569, 547, 946, 607, 513, 2140, 585, 519, 3113, 547, 5352, 454, 825, 29185, 825, 4737, 815, 17093, 28827, 314, 271, 2639, 825, 9517, 815, 17093, 14277, 27396, 656, 318, 2839, 257, 6012, 992, 6540, 825, 952, 1449, 2652, 834, 8976, 288, 13426, 1038, 2140, 815, 9517, 1341, 834, 910, 834, 1341, 834, 303, 675, 6874, 821, 10748, 328, 5852, 4840, 825, 8640, 1449, 2652, 834, 21587, 311, 13426, 1038, 2140, 815, 9517, 1341, 834, 910, 834, 1341, 834, 30467, 16594, 2987, 268, 5591, 1047, 32185, 4530, 4840, 825, 3116, 912, 1038, 1820, 2891, 2207, 305, 3036, 281, 634, 1449, 9936, 5293, 547, 519, 5352, 21234, 14682, 1429, 27029, 23526, 834, 10818, 568, 711, 4570, 1701, 2020, 825, 2132, 2140, 7531, 3698, 5352, 21234, 318, 14725, 318, 8976, 288, 29254, 267, 1274, 267, 4994, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 1239, 18134, 609, 519, 1217, 725, 547, 5352, 519, 2140, 585, 513, 2582, 2196, 454, 825, 910, 792, 281, 1274, 2427, 5532, 609, 519, 2140, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 4958, 5281, 513, 5569, 547, 946, 607, 513, 2140, 585, 519, 3113, 547, 5352, 454, 825, 29185, 825, 9517, 815, 17093, 14277, 27396, 656, 318, 2839, 257, 6012, 8161, 2639, 825, 2012, 815, 17093, 14277, 3682, 339, 4377, 2012, 257, 6012, 8161, 2639, 825, 2783, 815, 17093, 14277, 3682, 339, 4377, 2783, 257, 6012, 8161, 6540, 825, 2140, 815, 9517, 1341, 834, 910, 834, 1341, 834, 8976, 288, 267, 834, 1341, 2012, 1341, 834, 281, 834, 1341, 2783, 1341, 834, 9497, 1341, 1274, 1341, 834, 264, 5016, 825, 2132, 2140, 7531, 3698, 5352, 21234, 318, 14725, 318, 21587, 311, 29254, 267, 2196, 318, 2839, 267, 4994, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 1239, 18134, 609, 519, 1217, 725, 547, 5352, 519, 2140, 585, 513, 2582, 2196, 454, 825, 910, 14725, 318, 2839, 281, 6920, 952, 621, 568, 519, 1101, 610, 2034, 1893, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 4958, 5281, 513, 5569, 547, 946, 607, 513, 2140, 585, 519, 3113, 547, 5352, 454, 825, 29185, 825, 9517, 815, 17093, 14277, 27396, 656, 318, 2839, 257, 6012, 8161, 2639, 825, 2012, 815, 17093, 14277, 3682, 339, 4377, 2012, 257, 6012, 8161, 2639, 825, 2783, 815, 17093, 14277, 3682, 339, 4377, 2783, 257, 6012, 8161, 2639, 825, 1893, 815, 2196, 318, 2839, 1341, 834, 281, 834, 1341, 1349, 9078, 4833, 29254, 7456, 665, 314, 314, 8161, 316, 3910, 2196, 318, 2839, 2020, 825, 2140, 815, 630, 2839, 1341, 834, 910, 834, 1341, 834, 30467, 4530, 267, 834, 1341, 2012, 1341, 834, 281, 834, 1341, 2783, 1341, 834, 630, 4840, 17264, 1341, 1893, 1341, 834, 264, 15419, 825, 2132, 2140, 7531, 3698, 1239, 15461, 318, 7120, 318, 8976, 288, 29254, 267, 18772, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 835, 1899, 1239, 18134, 689, 799, 713, 1599, 1349, 519, 1239, 547, 4729, 454, 825, 910, 2181, 25785, 281, 1193, 15262, 15738, 547, 519, 9587, 5627, 519, 4143, 1239, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 4958, 5281, 1079, 8638, 540, 1239, 5627, 519, 1535, 543, 586, 2418, 547, 4729, 454, 825, 29185, 825, 6241, 5332, 1868, 815, 17093, 31815, 8435, 454, 825, 4737, 815, 17093, 28827, 314, 271, 2639, 825, 547, 318, 14142, 815, 11713, 825, 1535, 815, 11713, 825, 586, 815, 29129, 825, 585, 1775, 538, 6241, 5332, 1868, 912, 1038, 952, 1775, 269, 11034, 1873, 603, 263, 2181, 25785, 2187, 2018, 547, 318, 14142, 6910, 9217, 994, 1038, 3116, 912, 2018, 3136, 692, 825, 1592, 318, 9873, 815, 2132, 318, 9873, 29254, 267, 547, 318, 14142, 2020, 825, 585, 795, 538, 1592, 318, 9873, 912, 1038, 547, 318, 24525, 815, 547, 318, 14142, 14728, 2639, 1038, 17093, 815, 17093, 6155, 1886, 263, 1729, 318, 24525, 267, 7852, 284, 272, 2020, 825, 6241, 5332, 1868, 815, 17093, 31815, 8435, 692, 825, 585, 737, 538, 6241, 5332, 1868, 912, 1038, 952, 737, 269, 11034, 1873, 603, 263, 2181, 25785, 2187, 2018, 1535, 6910, 17301, 17347, 7456, 29328, 263, 2181, 25785, 21875, 2018, 586, 6910, 29254, 25208, 6012, 992, 7481, 1038, 3116, 912, 2018, 3136, 692, 825, 2132, 1535, 267, 586, 7531, 3698, 1239, 15461, 318, 7120, 318, 21587, 311, 29254, 267, 18772, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 835, 1899, 1239, 18134, 689, 799, 713, 1599, 21555, 519, 1239, 547, 4729, 454, 825, 910, 2181, 25785, 281, 1193, 15262, 15738, 547, 519, 9587, 5627, 519, 4143, 1239, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 4958, 5281, 1079, 8638, 540, 1239, 5627, 519, 1535, 543, 586, 2418, 547, 4729, 454, 825, 29185, 825, 6241, 5332, 1868, 815, 17093, 31815, 8435, 454, 825, 4737, 815, 17093, 28827, 314, 271, 2639, 825, 1535, 815, 22373, 5591, 1047, 281, 19382, 283, 1962, 285, 11854, 3663, 281, 19382, 20350, 1363, 834, 5591, 1047, 281, 645, 2088, 1116, 283, 1962, 285, 11854, 3663, 281, 19382, 20350, 1363, 834, 5591, 1047, 281, 645, 2088, 1116, 283, 1962, 285, 11854, 3663, 281, 645, 2088, 1116, 20350, 1363, 834, 5591, 1047, 281, 645, 2088, 1116, 283, 1962, 285, 11854, 3663, 281, 9406, 20350, 1363, 834, 5591, 1047, 281, 9406, 283, 1962, 285, 11854, 3663, 281, 9406, 31116, 825, 586, 815, 29129, 825, 585, 1775, 538, 6241, 5332, 1868, 912, 1038, 952, 1775, 269, 11034, 1873, 603, 263, 2181, 25785, 2187, 2018, 1871, 815, 17093, 5157, 6012, 992, 4940, 516, 2897, 2891, 2437, 267, 834, 23528, 2018, 586, 6910, 263, 15615, 263, 7407, 4917, 1038, 3116, 912, 2018, 3136, 692, 825, 2132, 1535, 267, 586, 7531, 3698, 4729, 318, 24473, 318, 299, 29254, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 21795, 1239, 18134, 5627, 519, 1239, 547, 4729, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 338, 2314, 533, 3279, 11708, 538, 1547, 6255, 6447, 454, 825, 29185, 825, 2140, 815, 5352, 21234, 318, 14725, 318, 8976, 288, 29254, 267, 834, 29381, 2423, 2580, 17093, 28827, 314, 271, 7481, 825, 10297, 815, 2715, 257, 27583, 9899, 2140, 2676, 23526, 834, 343, 9899, 834, 293, 15968, 630, 13703, 264, 20350, 23526, 834, 344, 9899, 834, 295, 8960, 774, 11611, 630, 323, 289, 670, 299, 17983, 10926, 825, 4453, 815, 979, 269, 8201, 10797, 825, 4453, 269, 26303, 9078, 599, 719, 6025, 1856, 284, 18350, 1564, 14277, 27583, 257, 16689, 4449, 8587, 1535, 9471, 21234, 284, 18350, 1564, 14277, 343, 257, 16689, 4449, 8587, 586, 9471, 21234, 284, 18350, 1564, 14277, 344, 257, 16689, 4449, 8587, 1535, 9471, 25292, 6889, 8421, 20350, 4449, 8587, 1535, 9471, 318, 9792, 17342, 12639, 28802, 1015, 263, 1911, 1070, 5286, 28802, 1015, 263, 1220, 876, 13580, 2676, 4449, 8587, 586, 9471, 318, 9792, 17342, 3199, 267, 910, 736, 16689, 4449, 8587, 586, 9471, 5091, 339, 1157, 284, 1015, 2676, 4449, 8587, 1535, 9471, 318, 19651, 1467, 18989, 2676, 4449, 8587, 1535, 9471, 318, 1467, 10233, 6889, 18872, 20350, 4449, 8587, 586, 9471, 318, 19651, 1467, 18989, 2676, 4449, 8587, 586, 9471, 318, 1467, 10233, 6889, 18872, 20350, 4449, 8587, 586, 9471, 318, 10045, 13238, 18989, 2676, 4449, 8587, 586, 9471, 318, 10045, 13238, 12296, 284, 272, 2676, 4449, 8587, 586, 9471, 318, 10045, 13238, 10233, 6889, 18872, 15419, 825, 1535, 267, 586, 815, 1239, 15461, 318, 7120, 318, 8976, 288, 29254, 267, 834, 4041, 318, 15419, 825, 4453, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 24210, 2676, 4449, 17264, 586, 284, 344, 2676, 4449, 17264, 1899, 318, 10233, 6889, 19990, 20350, 4449, 17264, 7154, 8782, 6050, 266, 5658, 619, 22779, 4449, 17264, 2012, 284, 18350, 1564, 14277, 27583, 257, 16689, 4449, 17264, 29964, 339, 6374, 622, 6889, 260, 346, 343, 281, 272, 269, 271, 325, 348, 21636, 283, 1962, 285, 257, 30492, 14030, 19930, 834, 260, 346, 344, 281, 272, 269, 271, 325, 348, 28108, 670, 299, 8442, 2020, 825, 6192, 815, 4688, 14682, 1429, 318, 8976, 288, 6600, 580, 267, 17093, 267, 834, 29381, 2423, 15419, 825, 952, 6192, 568, 6936, 912, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 7531, 3698, 4729, 318, 24473, 318, 305, 29254, 2187, 825, 8173, 825, 5442, 303, 308, 4811, 454, 825, 910, 4206, 281, 21795, 1239, 18134, 5627, 519, 1239, 547, 4729, 454, 825, 744, 7473, 303, 308, 4811, 454, 825, 910, 338, 2314, 533, 3279, 11708, 538, 1547, 6255, 6447, 454, 825, 29185, 825, 2140, 815, 5352, 21234, 318, 14725, 318, 8976, 288, 29254, 267, 834, 14738, 2423, 2580, 17093, 28827, 314, 271, 7481, 825, 10297, 815, 2715, 257, 27583, 9899, 2140, 2676, 23526, 834, 343, 9899, 834, 293, 15968, 630, 13703, 264, 20350, 23526, 834, 344, 9899, 834, 295, 8960, 774, 11611, 630, 323, 289, 670, 299, 17983, 10926, 825, 4453, 815, 979, 269, 8201, 10797, 825, 4453, 269, 26303, 9078, 599, 719, 6025, 1856, 284, 18350, 1564, 14277, 27583, 257, 16689, 4449, 8587, 1535, 9471, 21234, 284, 18350, 1564, 14277, 343, 257, 16689, 4449, 8587, 586, 9471, 21234, 284, 18350, 1564, 14277, 344, 257, 16689, 4449, 8587, 1535, 9471, 25292, 6889, 8421, 20350, 4449, 8587, 1535, 9471, 318, 9792, 17342, 12639, 28802, 1015, 263, 1911, 1070, 5286, 28802, 1015, 263, 1220, 876, 13580, 2676, 4449, 8587, 586, 9471, 318, 9792, 17342, 3199, 267, 910, 736, 16689, 4449, 8587, 586, 9471, 5091, 339, 1157, 284, 1015, 2676, 4449, 8587, 1535, 9471, 318, 19651, 1467, 18989, 2676, 4449, 8587, 1535, 9471, 318, 1467, 10233, 6889, 18872, 20350, 4449, 8587, 586, 9471, 318, 19651, 1467, 18989, 2676, 4449, 8587, 586, 9471, 318, 1467, 10233, 6889, 18872, 20350, 4449, 8587, 586, 9471, 318, 10045, 13238, 18989, 2676, 4449, 8587, 586, 9471, 318, 10045, 13238, 12296, 284, 272, 2676, 4449, 8587, 586, 9471, 318, 10045, 13238, 10233, 6889, 18872, 15419, 825, 1535, 267, 586, 815, 1239, 15461, 318, 7120, 318, 8976, 288, 29254, 267, 834, 3918, 318, 15419, 825, 4453, 14491, 4671, 15869, 263, 2998, 2529, 322, 2660, 3287, 24210, 2676, 4449, 17264, 586, 284, 344, 2676, 4449, 17264, 1899, 318, 10233, 6889, 1042, 20350, 4449, 17264, 7154, 8782, 6050, 266, 5658, 619, 22779, 4449, 17264, 2012, 284, 18350, 1564, 14277, 27583, 257, 16689, 4449, 17264, 29964, 339, 6374, 622, 6889, 260, 346, 343, 281, 272, 269, 271, 325, 348, 21636, 283, 1962, 285, 257 ]

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

[ 711, 2386, 789, 616, 1199, 1227, 2973, 269, 23883, 952, 596, 1294, 930, 10130, 798, 711, 13789, 7363, 267, 971, 607, 13626, 811, 610, 811, 10728, 563, 2252, 596, 616, 11116, 610, 561, 1342, 539, 676, 513, 4620, 267, 543, 519, 10138, 610, 519, 2960, 3587, 2699, 267, 22224, 267, 17611, 269, 952, 596, 1294, 513, 2699, 1899, 2919, 689, 519, 10138, 610, 2282, 519, 16398, 267, 5225, 979, 547, 14849, 1416, 610, 18317, 547, 723, 596, 13761, 563, 10345, 3008, 2177, 3201, 31178, 10691, 2464, 912, 6624, 1004, 723, 5828, 593, 519, 22865, 693, 1753, 269, 634, 4055, 2011, 4991, 5671, 518, 693, 3781, 950, 519, 22865, 568, 593, 269, 634, 3819, 2011, 666, 2014, 11522, 269, 3371, 616, 930, 2081, 547, 2057, 519, 11522, 3361, 676, 519, 3819, 2011, 281, 476, 272, 269, 5620, 930, 3636, 1216, 538, 513, 5687, 657, 2282, 707, 5127, 267, 952, 596, 12687, 909, 267, 521, 760, 930, 3636, 1216, 476, 273, 269, 12414, 593, 18519, 8595, 609, 3636, 1216, 630, 322, 1245, 2011, 666, 2014, 11522, 1932, 264, 476, 274, 269, 22911, 513, 24621, 543, 2322, 621, 593, 519, 1283, 540, 11578, 267, 865, 519, 7509, 540, 519, 24621, 666, 979, 547, 519, 2011, 269, 2107, 13793, 519, 6632, 24621, 2282, 707, 3068, 950, 596, 3207, 269, 1403, 596, 1376, 23472, 1813, 547, 519, 3819, 1145, 267, 4235, 3905, 1216, 609, 11993, 543, 9932, 666, 948, 269, 2107, 3434, 513, 30000, 15090, 609, 476, 272, 7484, 540, 1216, 543, 476, 272, 29537, 9932, 267, 3548, 519, 15090, 543, 4235, 519, 7401, 563, 2690, 824, 10372, 610, 811, 2143, 1344, 267, 5225, 267, 2638, 938, 12119, 4967, 2228, 563, 3918, 5746, 303, 2464, 281, 4534, 27124, 7219, 623, 4545, 820, 454, 303, 2794, 7219, 568, 513, 1360, 9422, 1426, 269, 898, 814, 1082, 4285, 553, 543, 952, 3548, 7157, 630, 23719, 4006, 264, 621, 568, 1434, 1426, 585, 9561, 2597, 267, 543, 1852, 3987, 269, 3371, 568, 1434, 1259, 547, 3548, 6802, 9469, 1510, 4006, 563, 272, 331, 321, 1762, 22481, 1510, 2960, 543, 5452, 267, 476, 272, 270, 273, 11680, 540, 7573, 7912, 610, 17310, 7912, 610, 30288, 7912, 267, 476, 272, 3039, 22323, 22872, 267, 476, 272, 270, 273, 23188, 540, 6070, 267, 476, 273, 29537, 10448, 3282, 563, 272, 269, 16060, 519, 22481, 1210, 1989, 831, 610, 27054, 1457, 267, 6404, 538, 519, 6070, 267, 543, 18552, 519, 22481, 2394, 930, 10433, 2501, 856, 476, 273, 269, 3575, 519, 7912, 543, 519, 22323, 609, 519, 22481, 547, 1205, 782, 519, 7912, 7509, 269, 476, 274, 269, 3002, 513, 1875, 22496, 3443, 609, 5420, 3002, 267, 1039, 519, 3282, 538, 519, 3443, 476, 275, 269, 1039, 476, 272, 270, 275, 540, 519, 7848, 547, 519, 3443, 543, 6366, 621, 609, 707, 3434, 16292, 267, 16212, 936, 950, 519, 5377, 2427, 7140, 1769, 6960, 269, 1879, 1312, 5011, 1831, 1769, 6960, 267, 519, 3443, 322, 820, 568, 2944, 269, 15566, 585, 519, 824, 476, 274, 3443, 31817, 609, 519, 1482, 1259, 563, 306, 12883, 476, 273, 1004, 563, 5970, 513, 2635, 267, 6126, 2887, 4005, 563, 279, 1321, 271, 24282, 589, 557, 269, 590, 269, 1948, 275, 866, 2349, 334, 4040, 2023, 267, 30400, 476, 4649, 275, 4029, 630, 4817, 273, 264, 476, 23470, 910, 476, 280, 8618, 271 ]

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

[ 723, 547, 7941, 476, 11740, 4113, 676, 476, 276, 1384, 11740, 4113, 383, 371, 276, 815, 476, 7761, 4113, 692, 10376, 16538, 5086, 538, 513, 2834, 20008, 6782, 3800, 476, 7761, 4113, 269, 769, 519, 1739, 3349, 267, 649, 666, 1294, 519, 16538, 5086, 3800, 540, 930, 1455, 2834, 29977, 780, 1012, 1215, 547, 5173, 16538, 5086, 3800, 540, 12150, 29977, 2496, 2171, 666, 3313, 519, 2268, 540, 513, 7508, 16538, 5086, 952, 649, 917, 519, 3800, 540, 519, 824, 16538, 7285, 269, 1280, 713, 267, 649, 723, 547, 1039, 782, 519, 1634, 7285, 543, 10208, 689, 476, 11740, 4113, 780, 2690, 1383, 267, 952, 649, 723, 519, 16538, 7285, 476, 2568, 4113, 267, 476, 3583, 4113, 267, 476, 3199, 4113, 267, 543, 476, 5952, 4113, 538, 513, 20008, 6782, 267, 649, 723, 547, 1376, 676, 8159, 741, 2040, 543, 1287, 10208, 621, 689, 476, 11740, 4113, 1384, 2568, 4113, 266, 3583, 4113, 266, 3199, 4113, 266, 5952, 4113, 284, 27768, 4113, 692, 22382, 1109, 476, 11740, 4113, 268, 27768, 4113, 284, 4792, 4113, 692, 763, 2268, 540, 519, 7508, 5086, 568, 476, 4792, 4113, 780, 12234, 267, 649, 666, 849, 5173, 519, 16538, 5086, 3800, 952, 649, 917, 519, 9703, 5086, 3800, 269, 1280, 713, 267, 649, 2015, 602, 519, 2040, 540, 606, 9703, 5086, 543, 922, 7222, 16538, 5086, 568, 3160, 547, 476, 5197, 4113, 780, 11997, 267, 649, 666, 10208, 519, 9703, 5086, 689, 476, 5197, 4113, 547, 1265, 519, 2268, 540, 519, 16538, 5086, 780, 2690, 1383, 267, 952, 649, 723, 9703, 7285, 476, 3445, 4113, 267, 476, 6344, 4113, 267, 476, 8099, 4113, 267, 476, 10755, 4113, 267, 543, 476, 12893, 4113, 538, 513, 20008, 6782, 267, 649, 723, 547, 10208, 1142, 476, 5197, 4113, 5086, 547, 1265, 519, 7222, 16538, 7285, 1384, 5197, 4113, 268, 3445, 4113, 284, 3445, 4113, 692, 5197, 4113, 268, 6344, 4113, 284, 2568, 4113, 692, 5197, 4113, 268, 8099, 4113, 284, 3583, 4113, 692, 5197, 4113, 268, 10755, 4113, 284, 4037, 4113, 692, 5197, 4113, 268, 12893, 4113, 284, 4792, 4113, 692, 11997, 267, 519, 3800, 540, 519, 16538, 7285, 540, 519, 20008, 6782, 616, 476, 3445, 4113, 267, 476, 2568, 4113, 267, 476, 3583, 4113, 267, 476, 4037, 4113, 267, 543, 476, 4792, 4113, 780, 1012, 3752, 1386, 1806, 540, 16538, 7285, 540, 29977, 692, 2162, 12327, 21283, 4041, 476, 272, 692, 29991, 519, 3800, 540, 519, 7508, 16538, 7285, 538, 519, 20008, 6782, 2630, 780, 11405, 281, 1109, 763, 7285, 602, 723, 519, 1482, 2681, 543, 616, 6719, 609, 513, 5595, 1899, 616, 3160, 269, 4475, 267, 649, 723, 1109, 320, 284, 2568, 4113, 269, 1677, 1265, 519, 2268, 540, 5086, 1109, 321, 267, 649, 723, 547, 1039, 519, 1634, 5086, 3800, 543, 10208, 689, 476, 11740, 4113, 269, 4475, 267, 649, 723, 1384, 3199, 4113, 266, 2568, 4113, 266, 2568, 4113, 266, 3445, 4113, 815, 476, 23310, 4113, 692, 22382, 1109, 476, 1109, 11740, 4113, 268, 23310, 4113, 815, 476, 3583, 4113, 692, 17951, 548, 1109, 321, 1109, 1889, 9778, 476, 3583, 4113, 780, 2162, 12327, 21283, 4041, 476, 273, 692, 29991, 519, 3800, 540, 519, 16538, 7285, 538, 519, 15279, 6782, 2630, 780, 11405, 281, 1109, 1103, 713, 2013, 267, 649, 723, 519, 3800, 540, 519, 9703, 7285, 269, 4475, 267, 649, 10208, 1142, 476, 5197, 4113, 5086, 547, 1265, 519, 2268, 540, 519, 7222, 16538, 5086, 1384, 5197, 4113, 268, 8099, 4113, 284, 3583, 4113, 692, 5197, 4113, 268, 6344, 4113, 284, 2568, 4113, 692, 5197, 4113, 268, 9873, 4113, 284, 2004, 4113, 692, 5197, 4113, 268, 10219, 4113, 284, 4649, 4113, 692, 5197, 4113, 268, 1911, 4113, 284, 3199, 4113, 692, 2414, 1265, 519, 2268, 540, 519, 7508, 16538, 5086, 267, 649, 666, 1039, 519, 3800, 540, 519, 1634, 16538, 7285, 543, 10208, 689, 476, 11740, 4113, 269, 4475, 267, 649, 723, 1384, 3583, 4113, 266, 2568, 4113, 266, 2004, 4113, 266, 4649, 4113, 266, 3199, 4113, 284, 25628, 4113, 692, 22382, 1109, 476, 11740, 4113, 268, 25628, 4113, 284, 3393, 4113, 0, 258, 6496, 1455, 14802, 27523, 1063, 1079, 14290, 589, 32390, 10522, 930, 3959, 585, 519, 10321, 2496, 2252, 972, 616, 1079, 5119, 525, 602, 789, 723, 1455, 14802, 27523, 585, 930, 27744, 602, 10522, 602, 1346, 1079, 5119, 525, 616, 9838, 286, 1548, 666, 649, 2161, 585, 1346, 1079, 14290, 2496, 8894, 13706, 4399, 15927, 331, 7268, 8218, 346, 20791, 9795, 348, 476, 272, 1299, 476, 272, 8607, 476, 271, 1299, 476, 272, 1422, 754, 346, 20791, 9795, 4153, 15927, 337, 7751, 543, 4399, 15927, 331, 7268, 8218, 346, 20791, 9795, 348, 476, 272, 1299, 476, 273, 8607, 476, 271, 1299, 476, 272, 1422, 754, 346, 20791, 9795, 4153, 15927, 337, 29408, 782, 741, 552, 580, 839, 335, 2167, 616, 9838, 267, 855, 519, 14290, 5749, 1405, 9838, 269, 1107, 1109, 301, 1690, 756, 16740, 337, 1170, 328, 9484, 476, 1839, 1412, 1321, 693, 476, 280, 281, 3607, 454, 1432, 666, 649, 2161, 827, 519, 9511, 540, 1346, 14290, 952, 649, 2099, 873, 538, 519, 552, 16090, 22470, 2230, 286, 1107, 1109, 2017, 1190, 9484, 476, 1839, 1412, 1321, 693, 476, 280, 281, 5379, 454, 2791, 666, 1405, 834, 10517, 6974, 257, 513, 5119, 538, 513, 6152, 2230, 269, 634, 1249, 602, 621, 568, 21482, 22941, 610, 711, 1281, 711, 2339, 1862, 834, 292, 16090, 22941, 257, 568, 513, 30490, 3959, 811, 1031, 538, 11973, 5624, 1141, 596, 991, 547, 5173, 513, 3845, 585, 1383, 269, 769, 519, 2013, 540, 1079, 14290, 602, 2671, 519, 1482, 1305, 540, 14802, 27523, 596, 666, 1589, 540, 713, 607, 519, 14290, 834, 1372, 14127, 257, 519, 6152, 2230, 538, 519, 1482, 1259, 269, 1411, 666, 1294, 621, 607, 513, 4999, 540, 21800, 8920, 520, 725, 538, 1142, 4287, 3989, 676, 519, 14802, 27523, 269, 1107, 1109, 332, 752, 8734, 476, 1240, 1412, 1724, 693, 476, 273, 281, 4029, 692, 2252, 519, 1079, 14290, 723, 519, 1482, 27744, 609, 519, 1482, 3818, 13109, 789, 723, 519, 1482, 8984, 9971, 269, 1403, 519, 3818, 13109, 540, 891, 27744, 3160, 519, 10155, 540, 519, 552, 580, 839, 335, 2167, 630, 19066, 1016, 17898, 2167, 264, 1287, 519, 1079, 14290, 616, 2147, 547, 513, 15497, 5119, 909, 547, 513, 1689, 540, 3490, 269, 901, 16726, 568, 513, 1098, 1438, 3959, 543, 1287, 596, 666, 2161, 602, 519, 1079, 14290, 596, 723, 2099, 519, 1482, 1439, 31532, 855, 538, 1079, 1114, 13279, 540, 519, 1482, 6152, 2230, 269, 634, 5817, 1439, 31532, 568, 519, 1482, 855, 519, 14290, 616, 9090, 10691, 9838, 269, 5457, 602, 513, 5119, 568, 513, 1259, 547, 2099, 606, 1439, 31532, 1310, 835, 814, 6074, 513, 6152, 3490, 780, 31171, 1384, 13436, 14290, 1269, 288, 259, 543, 1269, 289, 259, 616, 971, 602, 972, 6818, 606, 538, 3200, 1043, 5119, 1269, 303, 259, 971, 602, 281, 1269, 288, 815, 623, 21990, 13064, 272, 10592, 8894, 1432, 798, 596, 1611, 676, 2147, 14290, 286, 1107, 1109, 2017, 1190, 8734, 476, 275, 1412, 1724, 693, 476, 1015, 281, 736, 454, 10955, 1243, 519, 2626, 6902, 264, 1107, 1109, 332, 752, 8734, 476, 1240, 1412, 1724, 693, 476, 273, 281, 1839, 692, 2252, 1079, 14290, 723, 519, 1482, 1305, 540, 14802, 27523, 855, 1114, 27744, 267, 1287, 789, 666, 581, 8195, 15497, 1242, 267, 799, 1797, 602, 519, 1079, 14290, 862, 1393, 799, 1142, 824, 267, 602, 568, 952, 519, 1079, 14290, 616, 589, 543, 645, 267, 9474, 815, 22601, 780, 8894, 4754, 596, 14969, 811, 593, 834, 13678, 6714, 3585, 15497, 1242, 22172, 1107, 1109, 2017, 1190, 8734, 476, 275, 1412, 1724, 693, 476, 1015, 281, 736, 454, 2005, 1797, 602, 789, 616, 2147, 547, 15497, 14290, 2854, 936, 519, 4493, 4646, 676, 519, 14802, 27523, 269, 1107, 1109, 332, 752, 8734, 476, 1240, 1412, 1724, 693, 476, 273, 281, 2767, 692, 2252, 519, 1079, 14290, 616, 15497, 14184, 267, 1287, 789, 1590, 581, 3160, 780, 15008, 1384, 4131, 1269, 303, 259, 581, 519, 5119, 4171, 9587, 616, 513, 4493, 540, 14802, 27523, 540, 1269, 288, 32390, 10608, 3973, 1269, 303, 13064, 272, 348, 4338, 284, 291, 318, 272, 267, 303, 13064, 272, 348, 21990, 284, 291, 318, 273, 259, 1141, 1269, 291, 318, 272, 267, 291, 318, 273, 259, 616, 13005, 580, 4689, 14290, 609, 519, 630, 332, 583, 783, 264, 27744, 593, 519, 15497, 269, 3767, 649, 1175, 991, 547, 1118, 2386, 602, 519, 9753, 538, 799, 789, 616, 5116, 593, 519, 15497, 616, 519, 1482, 269, 1809, 891, 9753, 616, 538, 19359, 547, 519, 1931, 540, 519, 9587, 540, 1269, 303, 259, 865, 649, 8737, 780, 1103, 1880, 713, 568, 3020, 585, 1022, 1079, 21136, 2318, 12413, 9548, 630, 338, 4877, 6155, 264, 14290, 269, 901, 22464, 1267, 568, 1031, 547, 6961, 519, 22464, 540, 519, 2318, 4009, 3597, 540, 513, 521, 4877, 6155, 5119, 780, 268 ]

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

[ 1847, 519, 1793, 3187, 896, 13804, 8595, 547, 2490, 621, 593, 269, 1411, 666, 849, 7148, 610, 4945, 519, 3172, 4328, 4837, 12835, 663, 1287, 7148, 610, 4945, 519, 19171, 7735, 593, 519, 13804, 8595, 1907, 8663, 269, 1403, 596, 1616, 547, 723, 13804, 8595, 2141, 693, 707, 31840, 267, 596, 666, 8930, 621, 547, 519, 3399, 5496, 610, 4305, 8663, 269, 2368, 1004, 1616, 547, 1689, 519, 9355, 610, 2450, 540, 519, 1913, 543, 2592, 593, 519, 5496, 269, 1403, 713, 568, 1018, 596, 1616, 547, 798, 267, 596, 666, 554, 335, 342, 519, 813, 547, 24680, 538, 593, 513, 2985, 22272, 641, 1689, 707, 5496, 6571, 563, 2690, 811, 9623, 827, 4657, 707, 5496, 6571, 267, 1294, 5192, 519, 1655, 4159, 593, 707, 6895, 269, 1403, 596, 2461, 1210, 513, 10856, 267, 596, 666, 946, 13804, 8595, 538, 513, 1906, 2081, 267, 4470, 593, 875, 596, 899, 547, 960, 281, 2407, 1606, 10547, 267, 7828, 267, 543, 546, 18088, 269, 8347, 873, 782, 547, 1265, 856, 799, 835, 596, 4782, 269, 769, 1990, 558, 2070, 267, 707, 3003, 5496, 568, 3172, 1881, 269, 1411, 4440, 4465, 1406, 581, 2111, 547, 1294, 519, 2898, 5496, 693, 561, 1952, 9008, 1482, 942, 950, 621, 779, 3172, 1881, 267, 855, 607, 596, 1847, 1472, 519, 5496, 267, 596, 666, 1294, 3388, 563, 2252, 596, 723, 513, 5905, 31653, 267, 13804, 8595, 786, 4159, 3043, 10665, 1472, 519, 11876, 336, 540, 707, 5496, 269, 28463, 707, 9416, 610, 10856, 2059, 519, 10665, 547, 1847, 1472, 519, 5496, 269, 769, 713, 2070, 267, 950, 596, 1847, 1472, 519, 5496, 267, 621, 779, 899, 3001, 513, 3172, 4328, 4837, 1472, 563, 1103, 713, 2070, 267, 22272, 582, 335, 3172, 8595, 568, 546, 18088, 547, 513, 6712, 540, 707, 5496, 269, 1411, 666, 1689, 519, 1259, 13804, 8595, 1568, 269, 1280, 1383, 267, 596, 666, 946, 519, 24680, 16181, 543, 547, 1689, 875, 1454, 13804, 8595, 14219, 1173, 525, 707, 5496, 269, 1411, 666, 849, 1930, 519, 13804, 8595, 3681, 7735, 547, 1689, 13804, 8595, 563, 18933, 6559, 538, 689, 519, 1318, 6316, 540, 519, 5496, 267, 543, 1287, 7148, 9612, 269, 1403, 596, 2461, 1210, 513, 10856, 267, 1448, 547, 519, 2539, 28878, 7944, 540, 519, 5496, 267, 1847, 519, 10856, 24072, 909, 267, 543, 1287, 4945, 9612, 269, 9373, 13804, 8595, 538, 519, 3406, 4216, 267, 543, 1287, 7148, 610, 4945, 13804, 8595, 269, 3619, 547, 519, 8837, 30325, 9008, 543, 4945, 519, 13804, 4328, 4837, 269, 2473, 10547, 519, 18169, 7735, 269, 2422, 519, 1793, 3187, 547, 3442, 513, 24680, 27261, 269, 634, 6871, 596, 3442, 1934, 786, 581, 519, 27261, 676, 799, 13804, 8595, 14219, 1173, 525, 519, 5496, 950, 596, 2046, 519, 24680, 538, 7735, 563, 15919, 10941, 532, 4778, 2306, 1257, 4443, 547, 1224, 269, 8564, 513, 2638, 7901, 521, 341, 2240, 3442, 875, 13804, 8595, 6212, 269, 13804, 8595, 666, 1246, 707, 10856, 267, 519, 24450, 1448, 267, 610, 519, 13691, 269, 8074, 281, 1879, 596, 1930, 13804, 8595, 267, 519, 13804, 8595, 1907, 8663, 5526, 13713, 269, 898, 3533, 4991, 856, 540, 707, 1259, 267, 855, 596, 666, 4159, 621, 1586, 676, 14467, 519, 3172, 4328, 4837, 12835, 593, 707, 5496, 610, 519, 13804, 8595, 12835, 593, 519, 4305, 8663, 269, 13804, 8595, 14219, 1173, 525, 1114, 2694, 540, 12132, 9008, 5496, 543, 568, 851, 3458, 323, 333, 519, 661, 848, 540, 7457, 4741, 563, 2414, 1930, 621, 3533, 267, 4945, 3399, 663, 1287, 1826, 13804, 8595, 269, 1411, 875, 547, 24680, 1250, 15291, 5496, 849, 1689, 519, 5496, 6571, 267, 799, 4188, 338, 519, 9355, 267, 2450, 267, 543, 2179, 540, 1919, 602, 3514, 593, 707, 2780, 6895, 269, 9509, 1606, 10547, 7154, 269, 769, 1085, 872, 327, 7154, 267, 707, 3003, 5496, 568, 3172, 1881, 269, 13689, 593, 519, 2450, 540, 707, 5496, 543, 519, 24680, 1377, 596, 3442, 267, 596, 1522, 711, 581, 2111, 547, 1294, 782, 540, 519, 5496, 693, 519, 1482, 942, 269, 30776, 7154, 269, 667, 18088, 7154, 269, 769, 546, 18088, 7154, 267, 1152, 513, 6712, 540, 875, 547, 24680, 1250, 15291, 5496, 5496, 568, 666, 1775, 24680, 593, 1250, 9486, 267, 6028, 519, 1964, 540, 707, 18376, 24240, 563, 2791, 666, 1287, 1852, 799, 1858, 540, 519, 5496, 568, 3172, 1881, 269, 1879, 596, 2461, 1210, 2407, 1606, 10547, 7154, 267, 596, 666, 3533, 12744, 707, 3003, 18376, 676, 14467, 519, 1215, 547, 24680, 1250, 15291, 5496, 10624, 267, 543, 1287, 14467, 2776, 1613, 2407, 5496, 563, 2690, 513, 1592, 540, 13691, 31930, 602, 596, 666, 946, 609, 13804, 8595, 267, 1294, 6206, 4580, 31930, 269, 21115, 333, 519, 18169, 7735, 663, 1287, 2824, 519, 4781, 602, 596, 1616, 15545, 2598, 680, 904, 519, 1858, 1472, 519, 10856, 24072, 538, 519, 13804, 8595, 6885, 269, 1879, 596, 2824, 713, 4781, 267, 596, 666, 3442, 547, 723, 519, 13804, 8595, 6885, 1847, 950, 519, 10856, 24072, 4485, 610, 950, 519, 10856, 24072, 16125, 519, 6316, 540, 519, 13804, 8595, 6885, 563, 12812, 519, 18169, 12132, 335, 663, 1287, 1847, 519, 1793, 3187, 547, 4188, 519, 24680, 27261, 269, 25021, 519, 1793, 3187, 547, 519, 2451, 3123, 13804, 8595, 547, 24680, 14887, 267, 609, 4130, 2242, 1063, 24680, 2157, 269, 25021, 519, 1793, 3187, 547, 519, 1318, 3123, 13804, 8595, 547, 24680, 5488, 267, 609, 3677, 2242, 1063, 24680, 2157, 269, 590, 325, 2240, 519, 18169, 7735, 663, 1287, 267, 896, 13804, 8595, 30776, 590, 714, 655, 913, 519, 1793, 11107, 547, 4188, 519, 2450, 540, 519, 13804, 8595, 7828, 563, 763, 7828, 2450, 2242, 1318, 2476, 269, 17797, 519, 1377, 2394, 621, 779, 875, 547, 24680, 1250, 15291, 5496, 585, 596, 269, 5695, 940, 593, 2681, 538, 11437, 4679, 519, 4334, 1063, 3688, 593, 707, 5496, 267, 799, 666, 948, 1118, 707, 5496, 4443, 547, 1294, 563, 12812, 519, 18169, 7735, 663, 1287, 2824, 519, 12414, 593, 2681, 538, 11437, 2638, 7901, 269, 1879, 596, 1376, 1210, 13804, 8595, 267, 519, 13804, 8595, 1907, 8663, 7106, 8986, 547, 1205, 856, 540, 707, 1259, 267, 855, 596, 666, 4159, 621, 1586, 269, 2991, 13804, 8595, 10741, 267, 4945, 519, 3172, 4328, 4837, 12835, 593, 707, 5496, 610, 4945, 519, 3172, 8595, 12835, 593, 519, 4305, 8663, 269, 8837, 476, 1556, 8837, 476, 1015, 8837, 476, 279, 269, 4635, 13804, 8595, 593, 8837, 476, 1556, 13804, 8595, 2306, 851, 610, 782, 540, 707, 5496, 8273, 865, 3458, 655, 666, 1294, 1913, 543, 2592, 1732, 563, 22091, 663, 1022, 610, 782, 540, 519, 1739, 6810, 547, 1451, 811, 827, 13804, 8595, 269, 1677, 1847, 1472, 519, 5496, 267, 8749, 2059, 519, 10665, 540, 519, 5496, 538, 2407, 5496, 2070, 269, 4635, 13804, 8595, 593, 8837, 476, 1015, 13804, 8595, 2306, 851, 610, 782, 540, 707, 5496, 8273, 865, 596, 666, 1294, 1913, 543, 2592, 1732, 269, 4635, 13804, 8595, 1411, 666, 1930, 561, 6312, 641, 2673, 13804, 8595, 3533, 865, 621, 779, 13561, 950, 596, 991, 621, 543, 621, 779, 856, 540, 707, 1259, 950, 596, 1810, 1406, 563, 300, 1725, 8595, 786, 1930, 538, 9509, 1606, 10547, 2070, 8259, 596, 1689, 519, 5468, 269, 1677, 1930, 13804, 8595, 1210, 5905, 610, 513, 10856, 4210, 6559, 538, 689, 519, 1318, 6316, 540, 519, 5496, 267, 7148, 23994, 663, 1287, 7148, 7827, 7193, 5468, 563, 24687, 281, 1403, 596, 1616, 547, 723, 13804, 8595, 2141, 693, 707, 31840, 267, 596, 666, 8930, 621, 547, 519, 3399, 5496, 610, 4305, 8663, 269, 11872, 281, 1403, 596, 1616, 547, 723, 13804, 8595, 693, 707, 31840, 267, 596, 666, 8930, 621, 547, 519, 4305, 8663, 563, 24687, 281, 1879, 596, 2461, 1210, 2407, 1606, 10547, 7154, 267, 596, 666, 3533, 12744, 707, 3003, 18376, 676, 14467, 519, 14358, 10624, 267, 543, 1287, 14467, 2776, 1613, 2407, 5496, 269, 1215, 547, 24680, 1250, 15291, 5496, 269, 5988, 476, 6021, 267, 1215, 547, 24680, 1250, 15291, 5496, 910, 269, 5403, 513, 19410, 269, 15019, 9708, 689, 713, 5816, 8281, 543, 3888, 1863, 24680, 813, 269, 3353, 2129, 4301, 5988, 476, 6021, 267, 898, 779, 2653, 543, 596, 3580, 581, 4712, 585, 1362, 256, 3367, 811, 563, 1692, 547, 1118, 1250, 15291, 5496, 24680, 856, 1107, 875, 547, 1118, 1250, 15291, 5496, 24680, 856, 15545, 1692, 547, 24680, 1250, 15291, 5496, 454, 763, 13691, 666, 581, 1031, 547, 24680, 538, 610, 856, 269, 10241, 543, 1357, 26292, 7567, 946, 713, 1505, 269, 1411, 666, 2070, 513, 2546, 676, 14467, 9170, 593, 519, 8837, 18376, 269, 8837, 13804, 8595, 568, 1034, 2693, 547, 14359, 3264, 8563, 9686, 7846, 10528, 31124, 19628, 1946, 1775, 723, 1100, 8301, 538, 24680, 5870, 1107, 1946, 1775, 723, 1100, 8301, 538, 24680, 5870, 281, 2843, 507, 3522, 9261, 5828, 593, 538, 713, 2013, 563, 2467, 616, 1614, 12331, 540, 8837, 13804, 8595, 281, 9509, 1606, 10547, 267, 7828, 267, 543, 546, 1442, 269, 9509, 1606, 10547, 7154, 2636, 519, 3003, 5496, 547, 581, 3172, 1881, 950, 519, 13804, 8595, 568, 1305, 547, 602, 4259, 269, 1403, 707, 875, 547, 1118, 1250, 15291, 5496, 24680, 856, 1107, 875, 547, 1118, 1250, 15291, 5496, 24680, 856, 281, 568, 24680, 539, 538, 267, 1287, 707, 5665, 1062, 568, 1034, 2693, 1210, 713, 7154, 563, 763, 24680, 5468, 538, 8837, 949, 581, 519, 1966, 952, 519, 2592, 593, 519, 18376, 616, 3677, 982, 8912, 269, 1635, 10296, 519, 8837, 1883, 543, 26378, 519, 14263, 1129, 267, 596, 666, 24680, 1394, 856, 1586, 538, 2600, 1213, 906, 2394, 596, 3914, 3339, 3172, 2305, 1586, 269, 1635, 10296, 519, 8837, 1883, 543, 26378, 18521, 267, 13804, 8595, 786, 581, 6806, 543, 519, 3339, 4159, 786, 581, 17468, 269, 634, 13804, 8595, 5468, 4216, 666, 581, 15600, 676, 10296, 8837, 267, 6513, 267, 610, 631, 10569, 563, 21446, 8271, 267, 875, 547, 1118, 1250, 15291, 5496, 24680, 856, 1107, 875, 547, 1118, 1250, 15291, 5496, 24680, 856, 281, 666, 979, 547, 519, 3399, 10624, 543, 4945, 519, 10591, 11057, 5468, 12835, 593, 519, 2451, 2427, 267, 3442, 661, 848, 540, 7457, 267, 543, 1287, 2824, 13804, 8595, 689, 519, 1592, 269, 3798, 11276, 3798, 11276, 568, 513, 2780, 11285, 543, 513, 2029, 2520, 2131, 267, 1261, 814, 606, 11108, 1995, 568, 5752, 543, 7421, 1022, 1007, 2029, 10024, 519, 2344, 563, 8368, 540, 9115, 476, 272, 269, 1215, 798, 2843, 509, 3378, 16044, 491, 4344, 21134, 7846, 11012, 3378, 29652, 27569, 23845, 19628, 1133, 345, 7112, 1250, 15291, 5496, 286, 7994, 519, 11422, 596, 1616, 547, 946, 269, 1411, 666, 24680, 856, 676, 8066, 11632, 12435, 543, 519, 2443, 1883, 269, 1411, 666, 849, 7148, 593, 519, 2353, 29393, 12835, 269, 4210, 6559, 909, 689, 519, 5377, 540, 707, 5496, 547, 519, 1283, 563, 307, 777, 28652, 269, 1677, 1569, 519, 23994, 3296, 267, 1930, 519, 3399, 10624, 269, 3590, 666, 581, 15600, 676, 14467, 593, 621, 269, 5269, 2386, 707, 5496, 568, 3168, 1434, 676, 14577, 519, 17361, 543, 22375, 3681, 538, 18224, 269, 634, 11359, 1900, 568, 547, 1930, 513, 6885, 602, 10525, 519, 5496, 6571, 563, 2791, 666, 1689, 519, 4159, 3681, 538, 1900, 476, 277, 269, 3590, 5468, 666, 581, 1336, 676, 6679, 519, 5468, 269, 11628, 4159, 5468, 666, 581, 15600, 676, 14467, 593, 4159, 269, 6744, 952, 519, 1689, 538, 6571, 2337, 1631, 269, 13772, 875, 547, 24680, 856, 593, 554, 335, 15291, 5496, 11473, 563, 292, 9536, 344, 568, 513, 2780, 11285, 543, 513, 2029, 2520, 2131, 267, 1261, 814, 606, 11108, 1995, 568, 5752, 543, 7421, 1022, 1007, 2029, 10024, 519, 2344, 269, 4427, 2466, 7392, 1657, 543, 2046, 9373, 547, 3406, 563, 18208, 18521, 547, 22599, 269, 0, 22977, 17952, 568, 513, 14715, 4524, 602, 568, 6353, 676, 7928, 17465, 269, 898, 779, 513, 11719, 545, 4524, 7133, 1472, 476, 2004, 2929, 1004, 5001, 630, 476, 1321, 307, 27434, 11905, 267, 476, 1724, 307, 27434, 11905, 1916, 7197, 1004, 609, 20560, 1491, 6646, 547, 1852, 17465, 282, 2705, 267, 713, 2126, 1505, 568, 711, 2500, 585, 827, 476, 1789, 260, 540, 2550, 630, 476, 1691, 307, 27434, 11905, 1916, 1103, 519, 476, 4572, 271, 338, 267, 621, 729, 1101, 5189, 607, 513, 2126, 1505, 585, 20560, 1851, 1346, 945, 1705, 711, 4431, 547, 3075, 2126, 630, 476, 1428, 307, 27434, 11905, 1916, 14399, 5097, 8415, 519, 2732, 269, 26597, 2090, 5342, 593, 4079, 543, 1453, 609, 20560, 723, 8810, 602, 621, 666 ]

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

[ 2979, 267, 538, 5119, 8691, 519, 1931, 6927, 267, 543, 607, 4294, 1934, 267, 713, 15387, 519, 1931, 540, 14759, 780, 1012, 22564, 692, 288, 21591, 476, 272, 476, 271, 476, 271, 1535, 476, 271, 476, 272, 476, 271, 586, 476, 271, 476, 271, 476, 272, 1990, 476, 271, 476, 271, 476, 271, 476, 272, 692, 8489, 1535, 267, 586, 267, 543, 1990, 616, 519, 5551, 8144, 538, 1142, 4287, 780, 1012, 2480, 2718, 692, 288, 21591, 590, 343, 476, 271, 476, 271, 476, 271, 476, 271, 5204, 476, 271, 476, 271, 476, 271, 476, 271, 590, 345, 476, 271, 476, 271, 476, 271, 476, 271, 476, 272, 692, 8489, 590, 343, 267, 5204, 267, 543, 590, 345, 616, 519, 5551, 18440, 3815, 538, 1142, 10155, 269, 8074, 602, 952, 596, 1616, 547, 4336, 538, 782, 1614, 7852, 676, 519, 1482, 2179, 267, 596, 666, 1175, 1689, 519, 2539, 1318, 834, 272, 257, 547, 3815, 543, 4734, 590, 343, 267, 5204, 267, 590, 345, 607, 476, 272, 780, 1012, 15585, 566, 692, 8489, 23940, 744, 568, 519, 5551, 10047, 538, 32494, 1472, 519, 2016, 7852, 269, 1452, 666, 581, 5916, 267, 676, 14921, 782, 1614, 5119, 1927, 267, 543, 5094, 519, 834, 1492, 339, 553, 257, 547, 1614, 1114, 4632, 1384, 2162, 15585, 566, 827, 2473, 692, 288, 21591, 476, 272, 476, 271, 476, 271, 476, 271, 476, 271, 5430, 263, 302, 264, 5609, 263, 302, 264, 476, 271, 476, 271, 910, 7562, 263, 302, 264, 5430, 263, 302, 264, 476, 271, 476, 271, 476, 271, 476, 271, 476, 272, 692, 2162, 15585, 566, 827, 962, 692, 288, 21591, 5430, 263, 302, 264, 476, 271, 910, 7562, 263, 302, 264, 476, 271, 476, 271, 476, 272, 476, 271, 476, 271, 5609, 263, 302, 264, 476, 271, 5430, 263, 302, 264, 476, 271, 476, 271, 476, 271, 476, 271, 476, 272, 692, 2162, 15585, 566, 827, 2098, 692, 288, 21591, 5430, 263, 302, 264, 910, 7562, 263, 302, 264, 476, 271, 476, 271, 5609, 263, 302, 264, 5430, 263, 302, 264, 476, 271, 476, 271, 476, 271, 476, 271, 476, 272, 476, 271, 476, 271, 476, 271, 476, 271, 476, 272, 692, 9616, 602, 891, 616, 834, 2431, 19942, 257, 32186, 269, 15474, 7285, 540, 744, 2014, 4831, 12641, 1442, 3772, 10047, 827, 606, 7852, 607, 2938, 689, 513, 1448, 593, 519, 2318, 2427, 540, 519, 7852, 3168, 538, 4724, 519, 5169, 780, 4322, 1614, 14759, 630, 514, 2473, 267, 962, 267, 543, 2098, 264, 666, 267, 27985, 267, 581, 4294, 538, 5311, 547, 3914, 1022, 10066, 269, 901, 3096, 513, 1305, 540, 1614, 7285, 267, 799, 616, 5219, 547, 607, 25586, 27449, 780, 9616, 602, 952, 596, 4019, 513, 10047, 540, 476, 272, 270, 275, 540, 513, 2407, 2490, 1472, 267, 585, 1383, 267, 519, 2473, 7852, 267, 1287, 596, 723, 3927, 13988, 519, 824, 1079, 7852, 267, 962, 543, 2098, 267, 609, 1142, 824, 269, 1403, 596, 1287, 4019, 1022, 10047, 1472, 267, 585, 1383, 267, 519, 2098, 7852, 267, 602, 1131, 581, 4010, 519, 1482, 607, 10047, 1472, 519, 962, 17887, 269, 901, 18788, 513, 4110, 540, 5191, 689, 1022, 2417, 14759, 267, 543, 568, 1572, 834, 326, 574, 4472, 9376, 257, 799, 568, 835, 1826, 540, 13737, 640, 269, 898, 568, 513, 20159, 540, 25586, 27449, 780, 2414, 2057, 713, 20159, 267, 513, 1732, 1062, 585, 32186, 538, 2789, 7852, 666, 581, 2919, 676, 1210, 2372, 15715, 687, 269, 1452, 616, 476, 275, 21021, 2418, 1141, 519, 3063, 7516, 616, 28330, 547, 1950, 2338, 269, 7316, 513, 1950, 1297, 814, 835, 1483, 543, 835, 16494, 851, 267, 513, 844, 15715, 542, 814, 513, 6152, 5057, 543, 476, 275, 16494, 2694, 267, 1572, 1775, 267, 795, 267, 543, 737, 780, 336, 342, 1341, 1775, 7117, 343, 1341, 795, 7117, 344, 1341, 737, 7117, 345, 780, 288, 844, 15715, 542, 6585, 519, 7285, 538, 519, 1483, 543, 16494, 2694, 269, 5221, 789, 616, 782, 5916, 267, 1022, 10047, 1472, 513, 4999, 540, 7852, 666, 581, 4330, 269, 2372, 15715, 687, 666, 581, 10736, 883, 476, 274, 343, 274, 24364, 5119, 525, 780, 8450, 849, 1384, 3758, 281, 1315, 24728, 10915, 8276, 1385, 270, 4118, 4882, 6312, 658, 20675, 845, 725, 21867, 267, 476, 1428, 30641, 267, 2073, 8242, 281, 476, 1708, 274, 270, 1556, 270, 279, 476, 866, 281, 1704, 267, 2199, 942, 281, 476, 1708, 275, 270, 273, 270, 1839, 476, 1240, 281, 736, 267, 570, 8008, 21832, 670, 5085, 303, 674, 18853, 281, 1109, 476, 4097, 269, 14225, 269, 15433, 269, 15996, 281, 299, 8104, 5442, 692, 9736, 1708, 275, 1452, 3817, 616, 6039, 1510, 5010, 13384, 11208, 269, 630, 5591, 1402, 1575, 18537, 267, 3092, 1862, 1040, 289, 663, 12296, 6057, 4679, 16475, 1942, 16550, 13384, 11208, 610, 9505, 6658, 269, 901, 7746, 26490, 1947, 1219, 1742, 1996, 12747, 25718, 585, 1022, 2601, 1519, 22356, 13156, 267, 5918, 6473, 267, 3092, 1862, 7490, 2463, 713, 10421, 543, 11298, 10691, 681, 7709, 24199, 590, 25492, 269, 5999, 286, 8923, 11298, 3095, 547, 713, 2985, 256, 6226, 326, 621, 256, 1109, 270, 1109, 7246, 17395, 256, 32085, 26306, 19336, 4569, 10613, 692, 5475, 596, 1265, 606, 3617, 2985, 267, 596, 616, 14376, 547, 707, 547, 713, 2527, 332, 785, 3135, 256, 630, 14006, 338, 786, 581, 7298, 1152, 547, 596, 1354, 2689, 264, 3807, 1826, 513, 8799, 5048, 630, 26211, 6835, 616, 17808, 607, 28417, 264, 538, 519, 4216, 543, 2046, 519, 5403, 7735, 269, 630, 12487, 7876, 20888, 267, 855, 711, 519, 2999, 288, 11090, 281, 5502, 267, 946, 519, 3095, 4216, 547, 3095, 547, 1776, 2985, 269, 589, 5850, 568, 2139, 16840, 666, 21189, 547, 2022, 2047, 267, 1831, 2985, 15769, 267, 543, 581, 20295, 585, 741, 9708, 780, 29791, 286, 1109, 21607, 1109, 527, 1109, 1877, 912, 604, 1109, 9767, 1109, 342, 656, 1109, 320, 1109, 24978, 267, 5225, 1109, 10938, 1109, 20365, 1109, 16942, 1109, 5417, 816, 912, 16920, 333, 838, 27980, 281, 2353, 9708, 616, 12649, 1354, 1373, 1500, 7298, 547, 4896, 824, 982, 519, 16968, 563, 9894, 596, 1265, 1018, 596, 2877, 286, 834, 5591, 269, 594, 6415, 3168, 585, 281, 834, 834, 5591, 269, 6875, 803, 547, 519, 3406, 2985, 1701, 834, 5591, 269, 6875, 803, 547, 519, 1283, 865, 594, 666, 16590, 1524, 676, 3032, 698, 800, 257, 834, 5591, 269, 594, 6415, 8348, 547, 2628, 585, 948, 267, 5225, 3277, 803, 547, 513, 11727, 22639, 5016, 2162, 8080, 547, 521, 343, 4289, 2593, 2439, 306, 924, 6462, 676, 454, 338, 2297, 267, 6994, 1944, 2676, 261, 2186, 20334, 454, 3286, 899, 596, 2439, 8923, 1810, 1405, 18009, 11305, 4878, 454, 263, 1877, 781, 1946, 692, 290, 641, 625, 540, 519, 3135, 593, 7131, 454, 732, 2139, 693, 8766, 1942, 780, 269, 0, 258, 2979, 692, 297, 4141, 6499, 547, 6443, 513, 15547, 1141, 972, 616, 1079, 5079, 585, 15376, 11033, 269, 14893, 589, 568, 2139, 585, 8096, 4037, 1524, 543, 8096, 1428, 829, 3923, 269, 14893, 645, 568, 2139, 585, 1100, 2724, 1524, 543, 8096, 1839, 829, 3923, 269, 1280, 875, 1082, 3275, 1058, 15608, 581, 513, 4759, 547, 1118, 3903, 589, 14949, 982, 3903, 645, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 274, 269, 26461, 479, 454, 272, 269, 4194, 585, 544, 267, 519, 1297, 540, 3275, 692, 1428, 332, 1341, 476, 4037, 18016, 476, 1839, 332, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 2979, 692, 956, 12340, 16976, 547, 6443, 513, 15547, 1547, 1352, 1590, 2628, 513, 10865, 13927, 7132, 513, 835, 910, 5503, 13927, 547, 1930, 513, 15376, 269, 901, 3510, 666, 581, 24018, 676, 519, 4082, 476, 4649, 343, 1341, 476, 3199, 1547, 2491, 875, 1142, 1297, 543, 4484, 538, 519, 4082, 12211, 547, 519, 692, 273, 269, 12693, 2657, 692, 272, 269, 898, 568, 711, 2009, 547, 1205, 513, 1434, 15904, 693, 1753, 269, 6936, 2608, 16178, 476, 273, 269, 4107, 1753, 3937, 568, 7199, 269, 2608, 12148, 8771, 476, 274, 269, 589, 25500, 17524, 568, 513, 1434, 3903, 540, 1753, 3937, 585, 513, 1268, 945, 6499, 547, 2087, 741, 9025, 8516, 780, 274, 269, 12693, 2979, 692, 6614, 1695, 803, 1586, 594, 991, 948, 609, 713, 1966, 281, 898, 3790, 8096, 3374, 547, 6443, 513, 15547, 269, 634, 10865, 13927, 568, 8096, 1839, 269, 3503, 543, 3113, 606, 3830, 538, 1079, 4632, 602, 4564, 519, 2698, 1942, 540, 513, 15547, 15376, 269, 2913, 544, 2099, 519, 1297, 540, 3275, 692, 275, 269, 12693, 620, 3455, 3630, 692, 288, 15547, 15376, 3790, 8096, 1839, 547, 6443, 543, 8096, 1691, 1142, 3923, 269, 3503, 543, 946, 606, 15821, 4082, 547, 1265, 519, 1942, 540, 519, 15547, 15376, 585, 476, 277, 3275, 780, 272, 269, 12693, 10789, 692, 272, 2529, 574, 680, 1518, 519, 1739, 4082, 269, 476, 275, 263, 736, 266, 1321, 264, 383, 371, 263, 275, 268, 274, 264, 476, 275, 263, 736, 266, 1321, 21680, 476, 272, 476, 275, 476, 3953, 21680, 476, 272, 476, 12553, 476, 273, 6993, 15547, 15376, 1942, 8096, 1839, 547, 6443, 543, 8096, 1691, 513, 3923, 269, 3503, 543, 946, 606, 15821, 4082, 547, 1265, 519, 1942, 540, 519, 15547, 15376, 585, 476, 277, 3275, 780, 273, 269, 12693, 13878, 295, 692, 339, 295, 16730, 25758, 476, 275, 674, 9281, 8025, 16998, 32767, 14160, 19798, 2464, 5442, 589, 590, 29558, 5357, 269, 661, 21815, 14160, 19798, 13201, 476, 2190, 22295, 19006, 269, 535, 3036, 661, 21815, 717, 312, 300, 25783, 296, 7495, 267, 29375, 302, 674, 9281, 8025, 16998, 32767, 14160, 19798, 2464, 25526, 17395, 717, 312, 300, 570, 8104, 24518, 2207, 269, 512, 295, 16730, 25758, 476, 1015, 717, 312, 300, 25783, 296, 7495, 306, 5442, 20231, 667, 7838, 5058, 590, 29558, 5357, 654, 7417, 298, 269, 530, 295, 2969, 5442, 19489, 7246, 3582, 4959, 715, 3036, 17252, 3633, 3633, 9215, 16658, 13543, 692, 274, 269, 12693, 10789, 692, 299, 525, 12340, 16976, 547, 6443, 519, 15547, 269, 2701, 1590, 2628, 513, 10865, 13927, 7132, 513, 835, 6066, 13927, 547, 1930, 513, 15376, 269, 901, 3510, 666, 581, 24018, 676, 519, 4082, 476, 4649, 343, 1341, 476, 3199, 269, 11512, 875, 1142, 1297, 543, 4484, 538, 519, 4082, 12211, 547, 519, 692, 275, 269, 12693, 10789, 692, 288, 8630, 4867, 814, 476, 4968, 2818, 945, 2628, 8096, 476, 6110, 829, 3923, 585, 15376, 546, 1132, 269, 634, 25991, 8630, 781, 4604, 2818, 1616, 547, 2333, 10865, 8907, 676, 16715, 519, 10865, 546, 1132, 538, 13922, 540, 19788, 1007, 2818, 269, 589, 2344, 1382, 1353, 692, 272, 269, 12693, 2979, 692, 288, 15376, 693, 717, 1047, 548, 779, 717, 2096, 3790, 8096, 13970, 547, 6443, 543, 8096, 274, 585, 1142, 3643, 269, 589, 15376, 693, 12049, 23135, 779, 24524, 3790, 8096, 4037, 547, 6443, 543, 8096, 276, 585, 1142, 3643, 269, 1280, 799, 1297, 540, 11564, 1131, 1312, 6753, 723, 519, 1482, 2698, 1942, 2496, 273, 269, 12693, 4569, 692, 320, 15547, 15376, 10997, 606, 3355, 13927, 585, 8096, 1911, 7132, 513, 8096, 1839, 1863, 1169, 3923, 1776, 15547, 10997, 8096, 3393, 1169, 3923, 1310, 875, 1082, 3275, 786, 519, 2698, 1942, 585, 1312, 14934, 916, 581, 519, 1482, 692, 274, 269, 12693, 2979, 692, 2005, 3790, 8096, 3374, 547, 6443, 513, 15547, 269, 634, 10865, 13927, 568, 8096, 1839, 780, 275, 269, 12693, 4569, 692, 4263, 6004, 17679, 573, 781, 681, 550, 1023, 596, 666, 6443, 1010, 966, 2839, 11833, 585, 513, 10865, 15376, 13927, 540, 8096, 1789, 269, 5141, 889, 2818, 2628, 1152, 8096, 269, 5952, 547, 10519, 1142, 7260, 269, 1403, 596, 616, 711, 513, 4759, 540, 519, 966, 2839, 11833, 267, 519, 9413, 10519, 585, 8096, 273, 269, 1839, 1142, 32289, 1082, 7044, 1131, 596, 0, 290, 12973, 692, 258, 634, 17848, 700, 1371, 26435, 910, 476, 272, 692, 1012, 476, 1015, 5999, 14330, 304, 4530, 717, 12442, 661, 4753, 630, 16978, 16361, 264, 476, 1708, 273, 631, 1442, 4530, 10022, 1923, 634, 17848, 700, 1371, 26435, 910, 476, 272, 692, 20373, 454, 1607, 23769, 1449, 540, 634, 17848, 700, 1371, 26435, 910, 476, 272, 585, 15379, 7177, 630, 7417, 264, 2337, 596, 585, 1169, 15379, 7177, 630, 7417, 264, 13675, 981, 269, 901, 3568, 476, 1015, 13038, 14893, 5999, 585, 15379, 7177, 630, 7417, 264, 634, 17848, 700, 1371, 26435, 910, 476, 272, 630, 32508, 336 ]

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

[ 7024, 513, 8675, 7222, 454, 825, 547, 513, 3768, 20526, 3113, 609, 4351, 4296, 454, 825, 1851, 519, 9138, 1297, 540, 9136, 269, 18411, 825, 3113, 815, 31460, 825, 585, 6843, 538, 2039, 16325, 5332, 3941, 2187, 1038, 6316, 8217, 815, 2039, 16325, 5332, 3941, 994, 1038, 1948, 4351, 1125, 1934, 2336, 1038, 4351, 11075, 28984, 263, 8354, 8217, 994, 1038, 4351, 318, 539, 2471, 815, 6316, 8217, 11468, 12690, 27110, 263, 271, 267, 6352, 263, 8354, 8217, 4297, 2639, 1038, 952, 6843, 538, 4351, 318, 539, 2471, 912, 2018, 4351, 318, 539, 2471, 31927, 27316, 994, 1038, 3113, 269, 26303, 20719, 27161, 281, 1305, 263, 12690, 318, 539, 2471, 14587, 994, 825, 2132, 3113, 454, 258, 1872, 1429, 815, 1118, 318, 12690, 318, 1872, 1429, 263, 1015, 994, 258, 1721, 6221, 538, 579, 23054, 912, 258, 825, 1820, 6221, 267, 579, 23054, 314, 14403, 6540, 454, 3698, 1118, 318, 14814, 5091, 15572, 16325, 5332, 3941, 284, 271, 2187, 825, 15981, 307, 1389, 519, 1297, 540, 9136, 1003, 5332, 3941, 454, 825, 543, 7024, 513, 8675, 7222, 454, 825, 547, 513, 2347, 9859, 3113, 454, 825, 609, 519, 9138, 1297, 540, 9136, 269, 18411, 825, 3113, 815, 31460, 825, 585, 6843, 538, 2039, 16325, 5332, 3941, 2187, 1038, 6316, 8217, 815, 2039, 16325, 5332, 3941, 994, 1038, 6316, 8217, 31927, 27316, 994, 1038, 3113, 269, 26303, 20719, 27161, 281, 1305, 263, 8354, 8217, 14587, 994, 825, 2132, 3113, 7531, 3698, 1118, 318, 2207, 5091, 15572, 16325, 5332, 3941, 267, 5506, 2187, 825, 15981, 307, 1389, 519, 1297, 540, 9136, 1003, 5332, 3941, 454, 825, 543, 7024, 513, 8675, 7222, 454, 825, 547, 513, 9859, 3113, 609, 4351, 4296, 454, 825, 1851, 519, 9138, 1297, 540, 9136, 269, 18411, 825, 3113, 815, 31460, 825, 585, 6843, 538, 2039, 16325, 5332, 3941, 2187, 1038, 8728, 815, 1496, 329, 585, 1775, 538, 1535, 9792, 16325, 5332, 3941, 264, 585, 795, 538, 1535, 9792, 9217, 264, 952, 4351, 20179, 3890, 2999, 5506, 2639, 1038, 3113, 269, 26303, 20719, 27161, 281, 1305, 263, 539, 2471, 14587, 994, 825, 2132, 3113, 7531, 3698, 1118, 318, 2207, 5091, 15572, 273, 16325, 5332, 3941, 267, 5506, 2187, 825, 3113, 815, 31460, 825, 9136, 815, 2039, 3799, 994, 825, 585, 6843, 538, 9136, 912, 1038, 8728, 815, 11713, 1038, 585, 795, 599, 538, 9136, 912, 2018, 952, 4351, 20179, 3890, 2999, 5506, 543, 795, 599, 11203, 6843, 912, 3546, 8728, 6910, 27203, 599, 994, 1038, 3113, 19559, 1712, 316, 815, 1305, 263, 539, 2471, 994, 825, 2132, 3113, 7531, 3698, 1118, 14682, 1429, 32707, 5183, 4671, 7434, 3799, 31599, 2187, 825, 546, 11985, 14682, 1429, 284, 24708, 318, 14814, 5091, 15572, 9852, 994, 825, 546, 11985, 4671, 7434, 318, 28128, 284, 7894, 2969, 7434, 9852, 994, 825, 585, 1775, 538, 2039, 9852, 19885, 2187, 1038, 546, 11985, 14682, 1429, 5157, 24557, 323, 11985, 4671, 7434, 318, 28128, 269, 14725, 4671, 7434, 9852, 994, 825, 2132, 546, 11985, 14682, 1429, 7531, 3698, 1118, 14682, 1429, 32707, 5183, 3799, 31599, 2187, 825, 546, 11985, 14682, 1429, 284, 24708, 318, 14814, 5091, 15572, 9852, 994, 825, 9103, 785, 1122, 815, 544, 16732, 332, 268, 272, 264, 476, 1948, 13707, 538, 1673, 1122, 4181, 547, 1376, 609, 454, 825, 7003, 5091, 11985, 14682, 1429, 284, 332, 454, 825, 538, 5091, 12801, 18045, 284, 18743, 269, 5228, 12399, 263, 9792, 9852, 1070, 332, 268, 272, 994, 825, 1948, 306, 1729, 637, 543, 15387, 519, 538, 24266, 12523, 540, 1142, 6843, 454, 825, 546, 11985, 4671, 7434, 318, 28128, 284, 7894, 2969, 7434, 9852, 994, 825, 585, 1775, 538, 2039, 9852, 19885, 2187, 1038, 1305, 24449, 318, 8663, 815, 1305, 8443, 7481, 1038, 7003, 27133, 24449, 318, 8663, 815, 476, 271, 454, 1038, 585, 795, 27161, 538, 546, 11985, 14682, 1429, 912, 2018, 2625, 14352, 514, 5091, 12801, 18045, 14728, 27161, 27994, 272, 19422, 339, 582, 785, 1122, 1341, 7003, 5091, 11985, 14682, 1429, 994, 2018, 952, 4351, 20179, 3890, 283, 22238, 912, 3546, 1305, 24449, 318, 8663, 14491, 27203, 27161, 994, 3546, 538, 5091, 12801, 18045, 14728, 27161, 316, 23785, 272, 454, 3546, 9103, 785, 1122, 23785, 272, 454, 3546, 7003, 27133, 24449, 318, 8663, 23785, 272, 454, 2018, 952, 7003, 27133, 24449, 318, 8663, 2525, 332, 268, 272, 912, 3546, 2736, 454, 1038, 546, 11985, 14682, 1429, 5157, 24557, 3553, 24449, 318, 8663, 1948, 2908, 6843, 3773, 609, 8728, 10678, 593, 1142, 1871, 538, 1305, 24449, 318, 8663, 454, 1038, 538, 5091, 12801, 18045, 5157, 24557, 271, 1948, 763, 1007, 6843, 1131, 865, 2484, 723, 1100, 8728, 10678, 593, 621, 563, 1038, 7003, 5091, 11985, 14682, 1429, 23785, 272, 454, 825, 2132, 546, 11985, 14682, 1429, 7531, 3698, 1118, 14682, 1429, 318, 308, 5183, 4671, 7434, 3799, 31599, 2187, 825, 909, 320, 14682, 1429, 284, 24708, 318, 14814, 5091, 15572, 9852, 994, 825, 909, 320, 4671, 7434, 318, 28128, 284, 16810, 2969, 7434, 9852, 994, 825, 585, 1775, 538, 2039, 9852, 19885, 2187, 1038, 909, 320, 14682, 1429, 5157, 24557, 1575, 320, 4671, 7434, 318, 28128, 269, 14725, 4671, 7434, 9852, 994, 825, 2132, 909, 320, 14682, 1429, 7531, 3698, 1118, 14682, 1429, 318, 308, 5183, 3799, 31599, 2187, 825, 909, 320, 14682, 1429, 284, 24708, 318, 14814, 5091, 15572, 9852, 994, 825, 9103, 785, 1122, 815, 544, 16732, 332, 268, 272, 264, 476, 1948, 13707, 538, 1673, 1122, 4181, 547, 1376, 609, 454, 825, 7003, 318, 1575, 320, 14682, 1429, 284, 332, 454, 825, 538, 5091, 12801, 18045, 284, 18743, 269, 5228, 12399, 263, 9792, 9852, 1070, 332, 268, 272, 994, 825, 1948, 306, 1729, 637, 543, 15387, 519, 538, 24266, 12523, 540, 1142, 6843, 454, 825, 909, 320, 4671, 7434, 318, 28128, 284, 16810, 2969, 7434, 9852, 994, 825, 585, 1775, 538, 2039, 9852, 19885, 2187, 1038, 1305, 24449, 318, 8663, 815, 1305, 8443, 7481, 1038, 7003, 27133, 24449, 318, 8663, 815, 476, 271, 454, 1038, 585, 795, 27161, 538, 909, 320, 14682, 1429, 912, 2018, 2625, 14352, 514, 5091, 12801, 18045, 14728, 27161, 27994, 272, 19422, 339, 582, 785, 1122, 1341, 7003, 318, 1575, 320, 14682, 1429, 994, 2018, 952, 4351, 20179, 3890, 283, 22238, 912, 3546, 1305, 24449, 318, 8663, 14491, 27203, 27161, 994, 3546, 538, 5091, 12801, 18045, 14728, 27161, 316, 23785, 272, 454, 3546, 9103, 785, 1122, 23785, 272, 454, 3546, 7003, 27133, 24449, 318, 8663, 23785, 272, 454, 2018, 952, 7003, 27133, 24449, 318, 8663, 2525, 332, 268, 272, 912, 3546, 2736, 454, 1038, 909, 320, 14682, 1429, 5157, 24557, 3553, 24449, 318, 8663, 1948, 2908, 6843, 3773, 609, 8728, 10678, 593, 1142, 1871, 538, 1305, 24449, 318, 8663, 454, 1038, 538, 5091, 12801, 18045, 5157, 24557, 271, 1948, 763, 1007, 6843, 1131, 865, 2484, 723, 1100, 8728, 10678, 593, 621, 563, 1038, 7003, 318, 1575, 320, 14682, 1429, 23785, 272, 454, 825, 2132, 909, 320, 14682, 1429, 7531, 3698, 6460, 15461, 318, 1495, 20526, 5560, 15572, 2187, 825, 585, 6843, 538, 2007, 1429, 912, 1038, 585, 6316, 538, 2007, 1429, 19559, 1712, 14158, 2018, 2007, 1429, 314, 8354, 4940, 5417, 27316, 994, 825, 2132, 2007, 1429, 7531, 3698, 5299, 14682, 1429, 14116, 1429, 2187, 825, 23288, 825, 5269, 513, 5299, 540, 513, 3113, 454, 825, 23288, 825, 1007, 14682, 1429, 815, 31460, 825, 585, 6843, 538, 3113, 912, 1038, 1007, 14682, 1429, 19559, 1712, 316, 815, 1305, 14116, 1429, 19559, 1712, 7481, 825, 2132, 1007, 14682, 1429, 7531, 3698, 18419, 17045, 263, 1872, 1429, 267, 6843, 2187, 825, 23288, 825, 1546, 8541, 513, 6843, 689, 606, 3768, 20526, 3113, 454, 825, 23288, 825, 12543, 815, 579, 23054, 19559, 1712, 2639, 825, 579, 23054, 21014, 27316, 994, 825, 585, 7023, 538, 12543, 912, 1038, 579, 23054, 314, 31371, 4011, 4940, 24525, 27316, 994, 672, 692, 3698, 6098, 318, 4650, 263, 1872, 1429, 2187, 825, 23288, 825, 30770, 513, 6098, 4323, 1931, 9967, 454, 825, 540, 9136, 540, 31062, 4110, 22562, 825, 16849, 912, 825, 589, 1592, 540, 9136, 454, 825, 23288, 825, 1948, 5299, 519, 3113, 454, 825, 1007, 14682, 1429, 815, 5299, 14682, 1429, 263, 1872, 1429, 994, 8931, 825, 1931, 815, 32582, 8931, 825, 1247, 7003, 28956, 14682, 1429, 264, 3436, 476, 271, 912, 1038, 3193, 5091, 12801, 815, 910, 272, 454, 1038, 585, 6843, 538, 1007, 14682, 1429, 912, 2018, 952, 7003, 28956, 14682, 1429, 19559, 1712, 8079, 3436, 3193, 5091, 12801, 912, 3546, 3193, 5091, 12801, 815, 7003, 28956, 14682, 1429, 19559, 1712, 7481, 3546, 3193, 5091, 12801, 17045, 815, 6843, 28329, 1038, 12543, 815, 1007, 14682, 1429, 314, 10946, 5091, 12801, 17045, 2639, 1038, 1007, 14682, 1429, 21014, 32384, 5091, 12801, 17045, 994, 1038, 585, 7023, 538, 12543, 912, 2018, 1007, 14682, 1429, 314, 31371, 4011, 4940, 24525, 32384, 5091, 12801, 17045, 2020, 1038, 1931, 6910, 32384, 5091, 12801, 17045, 994, 825, 2132, 1931, 7531, 3698, 5173, 318, 539, 2471, 14116, 1429, 2187, 825, 737, 815, 11713, 825, 585, 6843, 538, 3113, 912, 1038, 8728, 30648, 17045, 815, 11713, 1038, 585, 6221, 538, 3113, 19559, 1712, 14158, 2018, 14584, 815, 15044, 8443, 27161, 267, 6221, 7481, 2018, 8728, 30648, 17045, 6910, 263, 591, 23753, 994, 1038, 737, 6834, 8728, 30648, 17045, 454, 825, 3803, 8217, 815, 11713, 825, 585, 6221, 538, 737, 912, 1038, 952, 6221, 711, 538, 3803, 8217, 912, 2018, 3803, 8217, 6910, 263, 14403, 994, 825, 2132, 7003, 6600, 1400, 8217, 9239, 3698, 4351, 318, 4650, 14116, 1429, 2187, 825, 4351, 4289, 815, 11713, 825, 585, 6843, 538, 3113, 912, 1038, 4351, 4289, 6910, 27316, 994, 825, 4351, 11075, 28984, 263, 12690, 4289, 994, 825, 2132, 4351, 4289, 7531, 3698, 6098, 318, 4650, 263, 1872, 1429, 2187, 825, 23288, 825, 30770, 513, 6098, 4323, 1931, 9967, 454, 825, 540, 9136, 540, 31062, 4110, 22562, 825, 16849, 912, 825, 589, 1592, 540, 9136, 454, 825, 23288, 825, 1948, 5299, 519, 3113, 454, 825, 1007, 14682, 1429, 815, 5299, 14682, 1429, 263, 1872, 1429, 994, 8931, 825, 1931, 815, 32582, 8931, 825, 1247, 7003, 28956, 14682, 1429, 264, 3436, 476, 271, 912, 1038, 3193, 5091, 12801, 815, 910, 272, 454, 1038, 585, 6843, 538, 1007, 14682, 1429, 912, 2018, 952, 7003, 28956, 14682, 1429, 19559, 1712, 8079, 3436, 3193, 5091, 12801, 912, 3546, 3193, 5091, 12801, 815, 7003, 28956, 14682, 1429, 19559, 1712, 7481, 3546, 3193, 5091, 12801, 17045, 815, 6843, 28329, 1038, 12543, 815, 1007, 14682, 1429, 314, 10946, 5091, 12801, 17045, 2639, 1038, 1007, 14682, 1429, 21014, 32384, 5091, 12801, 17045, 994, 1038, 585, 7023, 538, 12543, 912, 2018, 1007, 14682, 1429, 314, 31371, 4011, 4940, 24525, 32384, 5091, 12801, 17045, 2020, 1038, 1931, 6910, 32384, 5091, 12801, 17045, 994, 825, 2132, 1931, 7531, 5503, 271, 815, 942, 28333, 4590, 333, 815, 476, 16328, 278, 454, 258, 3077, 8548, 815, 476, 25313, 273, 454, 258, 1820, 262, 333, 281, 22779, 258, 1820, 562, 454, 2207, 5091, 15572, 815, 1118, 318, 2207, 5091, 15572, 273, 3799, 267, 476, 271, 269, 9826, 4037, 994, 308, 5183, 14682, 1429, 815, 1118, 14682, 1429, 318, 308, 5183, 4671, 7434, 3799, 267, 273, 994, 258, 942, 272, 815, 942, 28333, 3890, 268, 5503, 271, 454, 258, 1820, 1412, 332, 281, 22779, 258, 1820, 5173, 318, 539, 2471, 263, 2207, 5091, 15572, 994, 258, 942, 273, 815, 942, 28333, 3890, 268, 5503, 271, 454, 2207, 318, 1872, 1429, 815, 6460, 15461, 318, 1495, 20526, 263, 2207, 5091, 15572, 994, 2745, 1826, 263, 2207, 318, 1872, 1429, 994, 32476, 2207, 815, 5299, 14682, 1429, 263, 2207, 318, 1872, 1429, 994, 308, 5183, 318, 1872, 1429, 815, 6460, 15461, 318, 1495, 20526, 263, 308, 5183, 14682, 1429, 994, 2745, 1826, 263, 308, 5183, 318, 1872, 1429, 994, 32476, 308, 5183, 815, 5299, 14682, 1429, 263, 308, 5183, 318, 1872, 1429, 994, 23054, 318, 14766, 815, 834, 10674, 2517, 560, 4392, 269, 2998, 4355, 777, 529, 2593, 11305, 3941, 330, 592, 696, 528, 268, 14607, 270, 14607, 24417, 325, 278, 17902, 4840, 26367, 5332, 564, 1740, 14682, 1429, 815, 4452, 14682, 1429, 14116, 1429, 318, 14766, 994, 32476, 25892, 815, 5299, 14682, 1429, 263, 26367, 5332, 564, 1740, 14682, 1429, 994, 2745, 1826, 263, 26367, 5332, 564, 1740, 14682, 1429, 994, 2745, 1412, 1366, 734, 10955, 2471, 1366, 734, 7055, 2745, 1412, 2207, 318, 1872, 1429, 281, 22779, 2745, 5173, 318, 539, 2471, 263, 2207, 318, 1872, 1429, 994, 2745, 1412, 308, 5183, 318, 1872, 1429, 281, 22779, 2745, 5173, 318, 539, 2471, 263, 308 ]

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

[ 782, 519, 2244, 689, 7262, 2342, 519, 1862, 4279, 2560, 25840, 19332, 267, 2705, 267, 3957, 1010, 6264, 333, 788, 515, 342, 267, 575, 2967, 639, 4239, 822, 3780, 630, 256, 22337, 787, 729, 1476, 4593, 730, 649, 723, 849, 1044, 5227, 585, 3872, 946, 676, 519, 6845, 2209, 538, 2136, 256, 19332, 630, 476, 1911, 1765, 4510, 14514, 3738, 4957, 7507, 11014, 538, 10255, 543, 5125, 543, 998, 24222, 1932, 267, 646, 3893, 1390, 2560, 25840, 19332, 630, 476, 1911, 1765, 4510, 14514, 3738, 7507, 1862, 9282, 621, 729, 513, 22125, 2539, 11665, 1858, 602, 729, 849, 29200, 607, 513, 7669, 1067, 713, 2985, 723, 269, 2142, 523, 519, 18678, 569, 1390, 812, 602, 646, 17216, 729, 616, 5705, 569, 733, 337, 1882, 547, 1118, 519, 5667, 639, 1051, 532, 5467, 19332, 269, 2060, 1010, 1850, 687, 543, 4682, 547, 5527, 1141, 646, 4397, 547, 1265, 2828, 689, 1010, 1448, 540, 2070, 267, 2119, 269, 3571, 32042, 568, 519, 1101, 17396, 2272, 31607, 1448, 540, 2070, 267, 547, 19332, 11313, 521, 538, 256, 1306, 513, 14407, 608, 12000, 3130, 269, 3738, 930, 7126, 27616, 630, 476, 1220, 280, 268, 1708, 271, 3738, 896, 15567, 3780, 32614, 4214, 3504, 17858, 21922, 9539, 517, 4467, 14293, 27691, 732, 2704, 833, 269, 22367, 5529, 540, 1010, 3993, 11313, 521, 1101, 1651, 2720, 542, 883, 519, 3703, 568, 956, 3738, 616, 733, 337, 1882, 1862, 1261, 849, 2968, 2828, 609, 519, 7377, 592, 732, 1249, 542, 31225, 547, 2272, 267, 585, 2797, 18259, 538, 1862, 6271, 2361, 538, 799, 19332, 11313, 521, 9419, 787, 729, 1476, 4593, 730, 1510, 1797, 540, 5885, 610, 269, 654, 550, 2484, 3564, 519, 4170, 540, 1010, 10617, 616, 5705, 569, 733, 337, 1882, 547, 1118, 922, 23801, 593, 256, 2986, 873, 609, 9310, 2021, 15760, 4149, 288, 3738, 31225, 547, 2272, 267, 585, 2797, 18259, 267, 1715, 3840, 267, 808, 256, 674, 558, 5034, 18326, 538, 519, 2136, 8003, 1249, 723, 606, 26035, 609, 25048, 701, 344, 11313, 9419, 787, 256, 12280, 338, 267, 4239, 822, 1014, 10288, 7581, 641, 21358, 11313, 521, 6609, 540, 6628, 693, 519, 5441, 1377, 540, 476, 275, 267, 10384, 17837, 607, 4487, 569, 269, 634, 4936, 6243, 883, 519, 4936, 12504, 787, 729, 9991, 6408, 547, 5837, 2807, 1656, 6364, 540, 519, 1034, 1271, 5515, 538, 519, 1032, 476, 1911, 7460, 267, 19332, 729, 32043, 11474, 31503, 1421, 855, 789, 941, 562, 1405, 3638, 676, 4936, 4441, 7507, 281, 594, 9188, 540, 4728, 476, 4510, 645, 5861, 543, 18706, 3780, 2933, 1862, 1656, 2168, 942, 540, 1010, 2797, 20440, 22415, 1117, 267, 1369, 513, 2582, 5859, 532, 4005, 267, 689, 519, 11676, 6625, 519, 1862, 13924, 1345, 23012, 689, 519, 11676, 6625, 5211, 609, 1010, 1850, 687, 543, 22415, 1117, 593, 519, 2749, 540, 7507, 646, 513, 256, 1306, 9598, 1807, 689, 476, 5392, 268, 4510, 7460, 267, 25840, 19332, 910, 22186, 787, 333, 7843, 335, 652, 476, 1724, 540, 5147, 538, 476, 1911, 907, 5384, 1354, 519, 6243, 1131, 2887, 26056, 808, 1318, 547, 707, 28600, 562, 7572, 766, 256, 6176, 689, 2037, 9871, 320, 4215, 27429, 543, 711, 5824, 267, 607, 729, 519, 8473, 1063, 519, 7013, 540, 1862, 9457, 569, 5398, 10584, 538, 606, 2085, 538, 799, 19332, 11313, 521, 7385, 267, 631, 1075, 807, 267, 729, 269, 1261, 17204, 519, 11829, 545, 6205, 7638, 1424, 564, 528, 1460, 543, 6192, 519, 21037, 540, 717, 4954, 267, 256, 700, 3151, 1018, 646, 1185, 2944, 538, 8050, 543, 17956, 519, 10665, 540, 519, 1272, 540, 519, 543, 256, 6181, 527, 4476, 19332, 542, 607, 1010, 4332, 1032, 3738, 851, 6066, 7905, 540, 13898, 693, 3057, 626, 267, 256, 7348, 519, 3504, 1686, 15610, 7690, 568, 513, 10805, 9167, 22028, 12591, 267, 4503, 543, 31607, 267, 15151, 6039, 5301, 1862, 5527, 267, 7581, 641, 21358, 12479, 19332, 1131, 5431, 543, 11307, 4476, 19332, 542, 607, 1010, 5067, 543, 25752, 799, 646, 729, 538, 1101, 256, 11572, 18259, 5449, 851, 6066, 7905, 540, 13898, 693, 3057, 626, 5441, 267, 1715, 3840, 267, 26056, 808, 12081, 269, 19478, 267, 596, 616, 3858, 532, 547, 3377, 267, 3091, 267, 543, 30732, 7410, 616, 4503, 723, 1010, 1862, 1677, 2272, 267, 585, 2797, 18259, 4845, 729, 24850, 998, 519, 954, 20896, 1010, 1862, 769, 8050, 543, 17956, 519, 10665, 540, 519, 13983, 1723, 7304, 2674, 10340, 1185, 1271, 3140, 2360, 972, 1175, 607, 1185, 256, 14929, 539, 19332, 1131, 5431, 543, 11307, 4476, 19332, 542, 607, 1010, 5067, 543, 25752, 723, 1114, 24416, 907, 634, 1985, 476, 5611, 1296, 267, 595, 6737, 519, 12004, 10455, 4797, 547, 581, 6591, 998, 21037, 267, 19332, 729, 513, 966, 5534, 23511, 267, 3332, 267, 543, 1344, 689, 2037, 9871, 320, 4215, 27429, 2063, 9168, 4989, 476, 2764, 267, 476, 1001, 272, 269, 4179, 12262, 4178, 269, 534, 2615, 4318, 340, 270, 19878, 3780, 318, 25519, 14008, 270, 256, 634, 3540, 2112, 540, 476, 5392, 1700, 3393, 2705, 267, 19332, 17204, 519, 11829, 545, 2112, 543, 1558, 538, 6370, 256, 11531, 519, 22122, 540, 519, 4936, 23731, 8944, 606, 1313, 7100, 602, 1223, 2760, 26063, 581, 27618, 713, 1131, 1611, 1223, 256, 2561, 3285, 622, 873, 607, 26672, 573, 1568, 540, 1148, 851, 6066, 7905, 540, 13898, 693, 519, 3490, 540, 519, 1862, 5384, 540, 1010, 3993, 11313, 521, 21184, 4682, 2484, 3564, 519, 4170, 1010, 1862, 32100, 5006, 812, 538, 7507, 267, 543, 30732, 7410, 616, 4503, 729, 7166, 538, 6370, 1996, 519, 2475, 269, 1656, 6364, 540, 519, 15567, 3780, 32614, 4214, 3504, 17858, 7276, 713, 729, 2808, 606, 957, 540, 2112, 607, 519, 547, 256, 5800, 4815, 540, 519, 5087, 543, 7466, 22983, 6628, 630, 7507, 11313, 521, 2766, 543, 30732, 7410, 616, 4503, 5885, 269, 2060, 1200, 693, 28641, 267, 4440, 9907, 476, 7871, 267, 646, 10710, 5128, 6727, 1862, 476, 1911, 7460, 729, 2560, 15875, 7507, 6257, 519, 1974, 540, 519, 1034, 1271, 5515, 538, 519, 16702, 1063, 519, 1439, 269, 654, 517, 693, 1912, 1513, 31647, 581, 593, 519, 2749, 538, 476, 5392, 14514, 789, 941, 562, 1405, 3638, 676, 4936, 23511, 26062, 15421, 267, 19332, 15110, 1010, 2012, 689, 513, 20380, 1920, 609, 3504, 7895, 580, 872, 26483, 2110, 24331, 676, 4457, 610, 12266, 269, 7316, 646, 4397, 547, 1265, 2828, 689, 1010, 1448, 540, 2070, 267, 547, 19332, 11313, 521, 729, 256, 634, 1985, 476, 5611, 1296, 267, 595, 6737, 519, 12004, 10455, 4797, 547, 581, 6591, 998, 21037, 267, 19332, 729, 32043, 11474, 31503, 269, 1809, 1010, 4845, 729, 24850, 998, 519, 954, 20896, 540, 1010, 2797, 20440, 519, 31503, 609, 25048, 701, 344, 11313, 1967, 832, 269, 1280, 3872, 946, 676, 519, 6845, 2209, 538, 519, 5101, 543, 19332, 2968, 519, 2212, 540, 519, 23511, 3689, 609, 29088, 839, 3780, 543, 15567, 3780, 32614, 4214, 3504, 17858, 609, 595, 545, 3266, 19332, 568, 835, 540, 519, 4936, 7276, 14033, 1862, 1656, 7466, 22983, 6628, 630, 7507, 11313, 521, 1967, 832, 782, 891, 267, 19332, 8678, 519, 540, 269, 966, 574, 1400, 543, 519, 3540, 2112, 7639, 607, 606, 1714, 13228, 550, 10584, 5211, 609, 1010, 1850, 687, 543, 22415, 1117, 593, 2749, 1862, 8672, 540, 2070, 267, 547, 19332, 11313, 521, 18533, 2390, 1010, 5305, 267, 2705, 267, 19332, 729, 3564, 11652, 1862, 1656, 5125, 543, 14612, 998, 5527, 267, 5022, 267, 543, 2663, 540, 519, 16899, 676, 519, 602, 256, 19332, 1500, 1434, 593, 602, 3463, 15555, 712, 568, 23674, 267, 1498, 711, 3833, 865, 13818, 267, 729, 1862, 10313, 8271, 2110, 24331, 676, 4457, 610, 3504, 12266, 4441, 9168, 4989, 476, 2764, 267, 476, 1001, 272, 269, 4179, 281, 2807, 3571, 6589, 540, 15567, 3780, 32614, 4214, 3504, 17858, 2990, 607, 17308, 543, 1010, 7385, 11313, 521, 1034, 8984, 256, 14520, 610, 5722, 811, 5553, 543, 5747, 538, 1010, 28908, 547, 17204, 17837, 267, 799, 14356, 256, 19332, 1500, 1434, 593, 602, 3463, 19332, 11313, 521, 6609, 540, 6628, 693, 519, 6370, 540, 267, 256, 6356, 1947, 519, 19988, 540, 519, 1920, 689, 11829, 545, 561, 2393, 547, 16926, 2797, 8069, 538, 7507, 4728, 476, 4510, 645, 5861, 543, 22983, 1862, 1261, 729, 4535, 538, 476, 1911, 645, 5861, 1114, 24416, 2474, 12206, 2070, 519, 1686, 256, 590, 9419, 787, 729, 1476, 4593, 730, 693, 713, 942, 646, 849, 2968, 2828, 609, 519, 5763, 5006, 812, 538, 7507, 593, 256, 7831, 9168, 4989, 476, 2764, 267, 476, 1001, 272, 269, 4179, 281, 12262, 4178, 269, 534, 2615, 4318, 340, 270, 19878, 3780, 318, 25519, 14008, 270, 1543, 5532, 689, 713, 2985, 949, 723, 24416, 256, 5125, 543, 14612, 998, 5527, 2012, 19332, 2968, 15567, 3780, 32614, 4214, 3504, 17858, 6739, 2262, 512, 338, 541, 630, 524, 345, 541, 1862, 2334, 1223, 2760, 26063, 581, 27618, 519, 2489, 543, 6205, 538, 7507, 11031, 540, 519, 966, 574, 1400, 543, 519, 1439, 269, 14886, 689, 1010, 1448, 540, 2070, 267, 547, 2119, 547, 2322, 6070, 593, 595, 6737, 11313, 521, 10636, 18400, 12602, 1082, 269, 7905, 540, 13898, 693, 3057, 626, 5441, 267, 1715, 3840, 267, 26056, 808, 689, 6727, 2669, 676, 1010, 23258, 513, 256, 15610, 7690, 568, 513, 10805, 9167, 22028, 8259, 6382, 7074, 693, 2560, 646, 931, 592, 256, 281, 594, 9188, 540, 4728, 476, 4510, 645, 5861, 543, 9598, 1807, 540, 7507, 281, 594, 9188, 4728, 1862, 3571, 28908, 547, 17204, 17837, 267, 799, 729, 14356, 3743, 585, 1010, 3527, 950, 646, 729, 6735, 1862, 476, 1321, 610, 476, 1724, 540, 5147, 538, 476, 1911, 7460, 267, 19332, 10645, 646, 513, 1421, 596, 616, 3858, 532, 547, 3377, 267, 3091, 267, 543, 2663, 540, 519, 11829, 545, 543, 2336, 310, 3480, 476, 6507, 278, 645, 2393, 12928, 1057, 267, 1284, 595, 1251, 4469, 334, 1681, 17352, 267, 570, 14243, 337, 6759, 338, 595, 338, 639, 5633, 1234, 10360, 267, 16458, 23051, 674, 2632, 623, 978, 267, 2334, 3481, 9931, 12791, 769, 20474, 267, 7316, 2052, 594, 16179, 589, 853, 532, 2001, 267, 853, 537, 742, 518, 781, 30558, 9509, 338, 9546, 27926, 267, 13130, 4210, 541, 1690, 3848, 29216, 5811, 267, 0, 1103, 1016, 3916, 566, 4483, 8228, 4393, 267, 7802, 5958, 8228, 267, 5958, 4483, 568, 5258, 883, 4062, 4483, 543, 28630, 4483, 269, 769, 713, 4483, 1184, 267, 519, 1505, 540, 4483, 540, 519, 4062, 543, 519, 4483, 540, 519, 28630, 616, 10199, 519, 1482, 563, 272, 269, 7490, 1118, 513, 4483, 3732, 1354, 16801, 4483, 547, 3313, 519, 2837, 543, 942, 540, 519, 3002, 4483, 3684, 602, 5540, 519, 2681, 563, 273, 269, 6969, 4483, 267, 547, 2327, 602, 519, 13504, 27826, 1016, 3916, 566, 4483, 1957, 568, 10416, 3819, 267, 865, 607, 547, 2057, 519, 7613, 540, 18106, 4483, 267, 25859, 267, 3092, 563, 274, 269, 6969, 519, 4483, 267, 519, 13504, 27826, 1016, 3916, 566, 4483, 1957, 4806, 543, 5958, 1058, 581, 27762, 547, 4894, 519, 1957, 29578, 267, 524, 23158, 543, 824, 27589, 593, 519, 5958, 543, 13504, 27826, 8143, 4483, 1957, 267, 865, 607, 547, 2061, 891, 11935, 689, 1373, 9575, 538, 519, 13504, 27826, 3002, 269, 24614, 12889, 2049, 1063, 519, 4483, 1957, 543, 519, 5958, 563, 275, 269, 634, 12136, 540, 15293, 532, 568, 1419, 1813, 547, 519, 3432, 540, 519, 3531, 523, 9668, 568, 1932, 3728, 267, 519, 5580, 3531, 523, 25312, 23455, 1632, 13504, 27826, 1016, 3916, 566, 4483, 1957, 267, 1287, 4188, 519, 1507, 555, 8527, 1479, 11896, 547, 1118, 519, 6676, 3002, 4483, 3684, 12718, 630, 528, 12718, 264, 9668, 3432, 14887, 634, 4483, 540, 519, 13504, 27826, 8143, 4483, 1957, 568, 15286, 689, 9991, 1310, 1373, 647, 22486, 909, 547, 2014, 6281, 1016, 3916, 566, 4483, 543, 15293, 532, 4386, 269, 3680, 15293, 532, 269, 1411, 666, 849, 4019, 1216, 3146, 335, 749, 550, 12308, 4483, 610, 946, 13504, 27826, 4483, 1957, 593, 519, 2185, 15174, 540, 519, 13504, 27826, 4483, 1957, 563, 276, 269, 5221, 519, 31289, 532, 1570, 540, 519, 5377, 6676, 630, 322, 9051, 12308, 267, 26703, 267, 21312, 267, 3092, 4700, 786, 2014, 7050, 1216, 11517, 1282, 519, 4483, 1310, 21716, 519, 7509, 540, 519, 1016, 3916, 566, 17002, 13504, 267, 519, 2681, 540, 519, 4806, 593, 519, 4483, 12308, 786, 581, 1769, 267, 543, 519, 1216, 5134, 786, 2408, 12725, 269, 4475, 267, 1354, 519, 4483, 543, 1282, 519, 4483, 1184, 267, 621, 568, 2556, 547, 3002, 519, 2011, 1896, 2053, 547, 18493 ]

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

[ 267, 7117, 815, 694, 336, 5157, 268, 272, 3910, 694, 336, 5157, 2639, 3546, 8728, 314, 335, 4940, 6572, 32429, 994, 3546, 967, 12801, 314, 336, 316, 6834, 476, 272, 454, 1038, 759, 815, 11713, 1038, 9136, 20699, 1305, 263, 785, 12801, 269, 12399, 15405, 1038, 1247, 9136, 912, 2018, 952, 7003, 3799, 3941, 264, 3436, 476, 272, 912, 3546, 2132, 8771, 454, 2018, 6843, 815, 9136, 21014, 4590, 2018, 759, 6910, 27316, 994, 2018, 585, 1985, 17045, 538, 8728, 19559, 1712, 14158, 3546, 967, 12801, 314, 10113, 17045, 316, 20699, 476, 272, 454, 3546, 952, 967, 12801, 314, 10113, 17045, 316, 2652, 476, 271, 912, 7386, 9136, 14491, 263, 10113, 17045, 994, 1038, 2132, 610, 326, 2652, 759, 543, 782, 17347, 2652, 476, 271, 585, 737, 538, 967, 12801, 269, 11161, 3890, 9239, 306, 815, 8827, 4590, 3073, 815, 1496, 272, 267, 273, 267, 274, 2639, 572, 336, 338, 815, 20886, 272, 267, 273, 25662, 272, 267, 274, 27663, 2745, 22829, 269, 30084, 3725, 18586, 263, 3073, 267, 694, 336, 338, 4917, 3073, 815, 1496, 272, 267, 273, 267, 274, 2639, 572, 336, 338, 815, 20886, 272, 267, 273, 27663, 2745, 22829, 269, 30084, 3725, 18586, 263, 3073, 267, 694, 336, 338, 4917, 3073, 815, 1496, 272, 267, 273, 267, 274, 2639, 572, 336, 338, 815, 20886, 272, 267, 273, 25662, 272, 267, 274, 25662, 273, 267, 274, 27663, 2745, 22829, 269, 30084, 3725, 18586, 263, 3073, 267, 694, 336, 338, 4917, 3073, 815, 1496, 275, 267, 272, 267, 276, 267, 273, 267, 277, 267, 274, 2639, 572, 336, 338, 815, 20886, 276, 267, 273, 267, 277, 267, 274, 25662, 275, 267, 272, 267, 276, 267, 273, 27663, 2745, 22829, 269, 30084, 3725, 18586, 263, 3073, 267, 694, 336, 338, 4917, 3073, 815, 1496, 272, 2639, 572, 336, 338, 815, 20886, 272, 25662, 272, 25662, 272, 27663, 2745, 22829, 269, 30084, 3725, 18586, 263, 3073, 267, 694, 336, 338, 4917, 258, 476, 27447, 24731, 16088, 454, 258, 7301, 454, 258, 28859, 351, 482, 10951, 509, 14756, 497, 31563, 16088, 454, 258, 3020, 454, 3073, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 572, 336, 338, 815, 20886, 272, 267, 273, 267, 274, 267, 275, 267, 276, 25662, 272, 267, 273, 267, 274, 267, 275, 25662, 272, 267, 273, 267, 274, 25662, 272, 25662, 275, 25662, 276, 27663, 2745, 22829, 269, 30084, 3725, 18586, 263, 3073, 267, 694, 336, 338, 4917, 258, 476, 27447, 24731, 16088, 454, 258, 7301, 454, 258, 28859, 351, 482, 10951, 509, 14756, 497, 31563, 16088, 454, 258, 3020, 454, 3073, 815, 1496, 272, 2639, 572, 336, 338, 815, 20886, 272, 25662, 273, 267, 274, 25662, 274, 267, 273, 27663, 2745, 22829, 269, 30084, 3725, 18586, 263, 3073, 267, 694, 336, 338, 4297, 0, 12163, 11693, 606, 8870, 562, 267, 1265, 513, 5311, 602, 25389, 782, 540, 519, 1739, 1384, 763, 8870, 476, 272, 4386, 2899, 538, 519, 5311, 563, 10376, 8870, 1063, 476, 273, 543, 562, 4386, 7466, 538, 519, 5311, 563, 2690, 1169, 8870, 1775, 1063, 476, 273, 543, 562, 267, 519, 3845, 1063, 519, 1079, 20825, 540, 1775, 568, 4010, 1775, 563, 763, 3845, 1063, 1079, 2338, 593, 519, 5311, 267, 513, 5157, 316, 543, 513, 14728, 3910, 568, 519, 6207, 3017, 540, 741, 17523, 267, 1923, 329, 910, 1775, 347, 780, 27987, 519, 682, 13877, 25140, 4102, 5311, 269, 898, 568, 16798, 602, 896, 519, 2016, 10148, 267, 972, 568, 2141, 513, 3070, 780, 288, 5311, 513, 568, 682, 13877, 25140, 3677, 982, 513, 5311, 536, 630, 1993, 519, 1482, 3259, 264, 952, 538, 519, 1101, 2990, 1141, 513, 543, 536, 8428, 267, 5311, 513, 814, 513, 1297, 3152, 982, 519, 7222, 1297, 538, 536, 269, 1280, 1383, 267, 1496, 271, 267, 272, 267, 280, 267, 271, 316, 568, 682, 13877, 25140, 3677, 982, 1496, 271, 267, 272, 267, 276, 267, 277, 316, 1317, 519, 1101, 2990, 789, 8428, 568, 693, 519, 3791, 1297, 267, 543, 476, 280, 568, 3152, 982, 476, 276, 780, 8528, 7078, 476, 272, 1384, 19152, 281, 562, 815, 476, 274, 454, 20479, 281, 1496, 274, 267, 272, 267, 273, 267, 274, 267, 273, 2639, 15008, 281, 1496, 273, 267, 274, 267, 273, 267, 272, 267, 274, 316, 568, 849, 513, 4570, 5311, 267, 855, 1496, 274, 267, 272, 267, 273, 267, 274, 267, 273, 316, 568, 519, 682, 13877, 25140, 4102, 4570, 5311, 563, 7078, 476, 273, 1384, 19152, 281, 562, 815, 476, 276, 454, 20479, 281, 1496, 276, 267, 274, 267, 272, 267, 275, 267, 274, 267, 276, 267, 273, 267, 275, 267, 273, 2639, 8528, 3519, 14259, 6493, 1384, 272, 10922, 562, 10922, 476, 736, 454, 20701, 692, 5228, 17511, 1104, 5903, 454, 5035, 8827, 318, 272, 912, 825, 1219, 4020, 18850, 2331, 306, 3225, 775, 4311, 267, 562, 281, 703, 264, 9847, 5903, 27776, 14158, 1038, 1219, 1394, 10177, 1188, 263, 30915, 2187, 2018, 952, 1582, 269, 637, 568, 711, 7183, 912, 3546, 2132, 454, 2018, 1820, 263, 30915, 267, 694, 336, 994, 2018, 952, 7329, 343, 2652, 3259, 912, 3546, 1582, 269, 637, 815, 694, 336, 11468, 2639, 3546, 2132, 454, 2018, 952, 694, 336, 314, 30915, 316, 11203, 476, 271, 912, 3546, 1394, 10177, 1188, 263, 30915, 1341, 476, 272, 994, 2018, 585, 1775, 538, 2039, 3799, 267, 476, 271, 267, 910, 272, 2187, 3546, 952, 1775, 711, 538, 10272, 912, 7386, 952, 1775, 2652, 476, 272, 610, 630, 30915, 1341, 1775, 2999, 3259, 543, 694, 336, 314, 30915, 1341, 1775, 316, 2652, 476, 271, 2187, 13376, 694, 336, 314, 30915, 316, 815, 1775, 454, 13376, 952, 1775, 11203, 476, 272, 912, 23351, 694, 336, 314, 30915, 1341, 1775, 316, 815, 1775, 454, 13376, 10272, 14491, 9217, 994, 13376, 1394, 10177, 1188, 263, 30915, 1341, 476, 272, 994, 13376, 694, 336, 314, 30915, 316, 815, 476, 271, 454, 13376, 952, 1775, 11203, 476, 272, 912, 23351, 694, 336, 314, 30915, 1341, 1775, 316, 815, 476, 271, 454, 13376, 10272, 31927, 9217, 9239, 1038, 3259, 815, 476, 273, 2608, 562, 910, 476, 272, 454, 1038, 694, 336, 815, 1496, 271, 316, 2608, 3259, 454, 1038, 10272, 815, 1305, 4590, 1038, 1582, 269, 637, 815, 7183, 454, 1038, 1394, 10177, 1188, 263, 271, 994, 1038, 2132, 1582, 269, 637, 692, 258, 476, 30853, 26033, 483, 16088, 7770, 577, 5060, 514, 454, 258, 28859, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 270, 24554, 7308, 268, 2716, 545, 25140, 28376, 268, 20777, 268, 30084, 4882, 1828, 270, 11927, 14870, 514, 3620, 14241, 25252, 8386, 2275, 1156, 577, 5060, 514, 18191, 1097, 276, 13045, 258, 17276, 507, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 258, 29635, 495, 501, 30853, 23521, 481, 25051, 496, 30853, 26033, 483, 19867, 478, 20069, 12486, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 420, 479, 498, 419, 367, 375, 30853, 26033, 483, 420, 492, 371, 23523, 501, 26406, 486, 23521, 481, 8147, 30837, 508, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 21796, 357, 13107, 492, 24731, 14035, 482, 25707, 5035, 8827, 912, 825, 1219, 4020, 18850, 2331, 306, 3225, 775, 4311, 267, 562, 281, 703, 264, 9847, 5903, 27776, 13912, 13872, 1038, 7828, 815, 476, 273, 2608, 562, 910, 476, 272, 454, 1038, 20735, 815, 1496, 271, 316, 2608, 7828, 454, 1038, 10272, 815, 1305, 10797, 1038, 1219, 546, 12028, 263, 11034, 2187, 2018, 952, 7003, 263, 6665, 1243, 264, 2652, 562, 281, 2132, 20735, 454, 2018, 1948, 13127, 377, 497, 31176, 491, 12916, 491, 419, 377, 362, 26266, 366, 14756, 493, 417, 350, 360, 29072, 8147, 421, 480, 352, 16533, 365, 13213, 505, 27310, 31284, 22047, 12571, 356, 454, 2018, 952, 20735, 314, 11034, 316, 3436, 476, 271, 281, 2132, 546, 12028, 263, 11034, 1341, 476, 272, 994, 2018, 1948, 29635, 368, 359, 417, 379, 481, 16088, 12255, 21211, 10524, 492, 27962, 28996, 16533, 493, 417, 350, 360, 454, 2018, 585, 1775, 538, 2039, 3799, 267, 476, 271, 267, 910, 272, 2187, 3546, 952, 1775, 538, 10272, 281, 3136, 454, 3546, 3813, 815, 1376, 1341, 1775, 454, 3546, 952, 1775, 2652, 476, 272, 610, 630, 5913, 2999, 7828, 543, 20735, 314, 5913, 316, 2652, 476, 271, 2187, 7386, 10272, 14491, 9217, 994, 7386, 20735, 314, 11034, 316, 815, 1775, 454, 7386, 952, 1775, 3436, 476, 272, 281, 3097, 13376, 20735, 314, 5913, 316, 815, 1775, 454, 7386, 952, 546, 12028, 263, 11034, 1341, 476, 272, 2567, 3097, 13376, 2132, 20735, 454, 7386, 10272, 31927, 9217, 994, 7386, 20735, 314, 11034, 316, 815, 476, 271, 454, 7386, 952, 1775, 3436, 476, 272, 281, 3097, 13376, 20735, 314, 5913, 316, 815, 476, 271, 454, 2018, 2132, 7183, 454, 1038, 2132, 546, 12028, 263, 271, 9239, 5228, 17511, 1104, 5903, 454, 5035, 8827, 912, 825, 1219, 4020, 18850, 2331, 306, 3225, 775, 4311, 267, 562, 281, 703, 264, 9847, 5903, 27776, 14158, 1038, 1219, 1394, 10177, 1188, 263, 30915, 2187, 2018, 1820, 263, 30915, 267, 694, 336, 994, 2018, 952, 7329, 343, 2652, 3259, 912, 3546, 2132, 694, 336, 454, 2018, 952, 694, 336, 314, 30915, 316, 11203, 476, 271, 912, 3546, 2132, 1394, 10177, 1188, 263, 30915, 1341, 476, 272, 994, 2018, 585, 1775, 538, 2039, 3799, 267, 476, 271, 267, 910, 272, 2187, 3546, 952, 1775, 711, 538, 10272, 912, 7386, 952, 1775, 2652, 476, 272, 610, 630, 30915, 1341, 1775, 2999, 3259, 543, 694, 336, 314, 30915, 1341, 1775, 316, 2652, 476, 271, 2187, 13376, 694, 336, 314, 30915, 316, 815, 1775, 454, 13376, 952, 1775, 3436, 476, 272, 912, 23351, 694, 336, 314, 30915, 1341, 1775, 316, 815, 1775, 454, 13376, 10272, 14491, 9217, 994, 13376, 952, 1394, 10177, 1188, 263, 30915, 1341, 476, 272, 2187, 23351, 2132, 694, 336, 454, 13376, 694, 336, 314, 30915, 316, 815, 476, 271, 454, 13376, 952, 1775, 3436, 476, 272, 912, 23351, 694, 336, 314, 30915, 1341, 1775, 316, 815, 476, 271, 454, 13376, 10272, 31927, 9217, 994, 2018, 2132, 7183, 692, 1038, 3259, 815, 476, 273, 2608, 562, 910, 476, 272, 454, 1038, 694, 336, 815, 1496, 271, 316, 2608, 3259, 454, 1038, 10272, 815, 1305, 4590, 1038, 2132, 1394, 10177, 1188, 263, 271, 2020, 692, 306, 815, 8827, 4590, 2745, 22829, 269, 24554, 18850, 2331, 306, 3225, 775, 263, 274, 4917, 2745, 22829, 269, 24554, 18850, 2331, 306, 3225, 775, 263, 276, 4917, 2745, 22829, 269, 24554, 18850, 2331, 306, 3225, 775, 263, 273, 4297, 0, 12163, 763, 1295, 1790, 6055, 540, 606, 5044, 568, 3160, 547, 519, 5934, 1871, 538, 519, 5044, 16611, 676, 519, 5044, 781, 2040, 780, 2690, 1383, 267, 519, 5044, 1496, 274, 267, 273, 267, 276, 316, 630, 2381, 3065, 1871, 568, 476, 273, 264, 814, 513, 1295, 1790, 6055, 540, 476, 273, 2608, 630, 274, 266, 273, 266, 276, 264, 815, 476, 273, 2608, 476, 1015, 815, 476, 736, 563, 11693, 606, 5044, 540, 9981, 15358, 267, 2132, 519, 5021, 1295, 1790, 6055, 540, 1022, 1875, 268, 24105, 1016, 6783, 540, 15358, 269, 4595, 519, 2626, 949, 581, 1804, 267, 2132, 621, 1110, 25222, 476, 11820, 1341, 476, 278, 780, 9616, 602, 519, 1295, 1790, 6055, 1058, 581, 12366, 1242, 1354, 7900, 519, 1110, 25222, 5106, 269, 4530, 322, 1162, 616, 6383, 971, 602, 519, 5021, 1295, 1790, 6055, 1510, 1110, 25222, 786, 3514, 538, 513, 476, 5038, 19229, 9896, 8870, 780, 288, 1016, 6783, 568, 513, 733, 27631, 851, 540, 606, 5044, 780, 8528, 7078, 476, 272, 1384, 19152, 281, 15358, 815, 1496, 272, 267, 273, 267, 274, 267, 273, 2639, 20479, 281, 476, 1691, 454, 15008, 281, 634, 5021, 1295, 1790, 6055, 568, 6913, 609, 519, 1016, 6783, 1496, 273, 267, 274, 267, 273, 316, 630, 2381, 3065, 1871, 568, 476, 273, 1916, 273, 2608, 630, 273, 266, 274, 266, 273, 264, 815, 476, 273, 2608, 476, 278, 815, 476, 1691, 563, 7078, 476, 273, 1384, 19152, 281, 15358, 815, 1496, 273, 267, 274, 267, 274, 267, 272, 267, 273, 2639, 20479, 281, 476, 1240, 454, 15008, 281, 634, 5021, 1295, 1790, 6055, 568, 6913, 609, 519, 1016, 6783, 1496, 274, 267, 274, 316, 630, 2381, 3065, 1871, 568, 476, 274, 1916, 274, 2608, 630, 274, 266, 274, 264, 815, 476, 274, 2608, 476, 277, 815, 476, 1240, 563, 7078 ]

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

[ 4510, 1384, 288, 1957, 7076, 538, 519, 1106, 540, 513, 21571, 540, 8953, 476, 274, 269, 271, 4699, 568, 1031, 547, 3180, 1524, 513, 9102, 2985, 269, 1323, 20626, 5654, 693, 519, 2985, 19794, 998, 519, 1957, 7076, 269, 2311, 1018, 4463, 1657, 519, 2985, 786, 519, 9102, 5022, 2282, 519, 8998, 2408, 547, 519, 20626, 2496, 11693, 912, 20238, 3780, 540, 519, 1957, 7076, 630, 305, 264, 815, 476, 274, 4699, 454, 8269, 847, 633, 4994, 540, 519, 1957, 7076, 630, 19031, 273, 264, 815, 476, 274, 270, 273, 454, 8269, 847, 633, 4994, 540, 519, 2011, 630, 19031, 272, 264, 815, 476, 272, 692, 1103, 519, 1101, 2013, 267, 519, 1201, 3555, 568, 693, 589, 563, 340, 815, 476, 271, 543, 681, 21591, 2171, 917, 1384, 7445, 2765, 346, 3189, 9507, 3189, 14153, 31998, 3709, 273, 12453, 341, 32757, 2765, 346, 3189, 9507, 3189, 14153, 31998, 3709, 272, 12453, 340, 18098, 2765, 346, 3189, 9507, 3189, 14153, 31998, 3709, 273, 18511, 3189, 9507, 3189, 14153, 31998, 3709, 272, 12453, 305, 4153, 28783, 3189, 22364, 346, 271, 1410, 2410, 271, 1410, 3686, 22382, 315, 2765, 346, 274, 2410, 273, 12453, 341, 32757, 2765, 346, 272, 2410, 271, 18098, 2765, 346, 3189, 9507, 3189, 14153, 31998, 3709, 273, 18511, 3189, 9507, 3189, 14153, 31998, 3709, 272, 24828, 13727, 476, 4153, 28783, 3189, 22364, 346, 271, 1410, 2410, 271, 1410, 3686, 22382, 341, 284, 271, 6911, 11997, 267, 519, 3239, 540, 519, 4484, 568, 4646, 693, 519, 1448, 563, 2690, 519, 2034, 2013, 267, 1201, 3555, 568, 693, 1448, 645, 563, 2080, 2676, 30606, 3845, 267, 579, 815, 6567, 274, 4699, 454, 305, 815, 6567, 476, 274, 4699, 454, 19031, 272, 815, 476, 274, 270, 273, 454, 19031, 273, 815, 476, 272, 454, 13295, 267, 649, 723, 1384, 17798, 267, 972, 786, 581, 1100, 6521, 538, 519, 3803, 3239, 780, 2971, 7726, 476, 3393, 1384, 24169, 519, 3105, 1966, 952, 519, 1957, 7076, 568, 30141, 693, 922, 1747, 865, 602, 519, 20085, 2627, 18953, 519, 1957, 780, 11693, 2676, 21982, 519, 8953, 540, 519, 1957, 7076, 607, 922, 11098, 815, 476, 274, 4699, 454, 8269, 847, 633, 4994, 540, 519, 1957, 7076, 630, 19031, 326, 264, 815, 476, 274, 270, 273, 454, 8269, 847, 633, 4994, 540, 519, 2011, 630, 19031, 272, 264, 815, 476, 272, 692, 15862, 6521, 568, 2016, 676, 1384, 763, 5580, 2627, 540, 519, 1957, 7076, 568, 6366, 543, 519, 20085, 20085, 2627, 568, 538, 3346, 609, 519, 9102, 4484, 563, 11997, 267, 649, 786, 1491, 621, 607, 513, 2241, 1201, 3555, 1966, 780, 17798, 267, 519, 3239, 786, 2408, 476, 272, 4699, 1657, 1448, 589, 780, 2971, 7726, 476, 5379, 1384, 288, 8280, 7371, 17202, 6712, 540, 519, 2627, 540, 513, 4396, 4837, 12106, 630, 19031, 815, 476, 272, 269, 276, 264, 540, 8953, 678, 568, 3623, 30099, 547, 1118, 519, 6418, 2427, 10452, 269, 1323, 1843, 568, 5116, 593, 519, 7852, 540, 519, 21571, 693, 513, 3845, 476, 274, 337, 689, 519, 8998, 540, 519, 12106, 269, 634, 1769, 689, 519, 1843, 568, 18195, 539, 693, 519, 5667, 559, 30099, 851, 267, 1287, 10630, 689, 519, 3623, 30099, 851, 543, 1586, 18195, 539, 693, 519, 5667, 559, 30099, 851, 269, 700, 11229, 519, 3803, 3239, 4646, 780, 2026, 3254, 538, 519, 4137, 267, 744, 304, 815, 476, 274, 337, 543, 1109, 8008, 815, 678, 454, 13295, 267, 623, 304, 815, 476, 273, 337, 454, 2690, 1201, 3555, 693, 6673, 289, 2676, 933, 917, 602, 10484, 2690, 519, 8086, 538, 519, 6677, 1511, 11604, 2676, 340, 815, 3980, 508, 454, 13295, 267, 642, 815, 17122, 3259, 540, 11604, 815, 678, 270, 273, 454, 2690, 519, 1201, 3555, 540, 6673, 289, 540, 519, 10630, 3239, 2676, 340, 815, 6567, 274, 337, 270, 273, 692, 2026, 2942, 1129, 6920, 2592, 4646, 3330, 6673, 289, 267, 865, 3239, 1058, 581, 693, 595, 563, 11997, 267, 519, 3803, 3239, 568, 4646, 593, 519, 10452, 2627, 540, 519, 12106, 780, 2971, 7726, 476, 5325, 1384, 763, 23756, 2627, 540, 513, 6094, 6677, 822, 334, 8410, 557, 343, 7828, 540, 4837, 540, 31659, 4994, 476, 272, 269, 276, 814, 513, 8953, 540, 22441, 476, 736, 4699, 269, 634, 6677, 1511, 2627, 814, 513, 8953, 540, 22441, 476, 2568, 4699, 269, 634, 23756, 2427, 568, 3623, 30099, 543, 5116, 593, 513, 8880, 2627, 607, 3254, 538, 4137, 269, 630, 320, 264, 7316, 1058, 513, 8930, 581, 5116, 593, 519, 7852, 865, 602, 922, 3239, 568, 4646, 693, 519, 1482, 1747, 286, 630, 321, 264, 1403, 519, 6677, 1511, 851, 568, 4904, 609, 1216, 630, 19031, 815, 476, 275, 270, 274, 1070, 1265, 519, 3845, 998, 799, 519, 8930, 1058, 581, 6410, 865, 602, 519, 3239, 540, 519, 8930, 1586, 14626, 1938, 609, 519, 8930, 563, 8201, 692, 5416, 264, 2913, 674, 1109, 2041, 519, 519, 17122, 3259, 540, 519, 2016, 6677, 822, 334, 8410, 557, 343, 7828, 269, 3973, 10484, 7445, 2765, 346, 272, 2410, 293, 18098, 2765, 346, 272, 2410, 346, 325, 13925, 272, 3686, 10954, 2765, 346, 272, 2410, 346, 325, 13925, 332, 3686, 10954, 2765, 346, 272, 2410, 346, 325, 13925, 272, 3686, 14204, 259, 7807, 2765, 346, 273, 2410, 346, 325, 13925, 272, 3686, 10954, 2765, 346, 272, 2410, 346, 325, 13925, 332, 22288, 7673, 3396, 1109, 4399, 3847, 24560, 20357, 1422, 2765, 346, 272, 2410, 346, 325, 13925, 332, 3686, 7807, 3847, 7268, 9507, 3189, 14153, 7684, 268, 272, 9368, 9385, 3847, 7268, 2765, 346, 272, 2410, 346, 305, 13925, 272, 3686, 10559, 2765, 346, 272, 2410, 346, 305, 13925, 273, 14990, 2431, 9385, 2431, 316, 6911, 7445, 2765, 346, 272, 2410, 293, 18098, 2765, 346, 273, 2410, 1789, 23180, 2765, 346, 272, 2410, 1428, 18098, 2765, 346, 273, 2410, 1428, 21456, 293, 815, 476, 278, 269, 276, 4699, 692, 17798, 267, 681, 815, 476, 1428, 4699, 692, 11997, 267, 519, 8930, 1058, 581, 5116, 693, 513, 3845, 540, 476, 1428, 4699, 689, 519, 7828, 780, 6357, 264, 1403, 519, 6677, 1511, 851, 568, 4904, 609, 1216, 2676, 2690, 17122, 3259, 674, 7055, 25991, 1109, 1109, 25991, 7445, 2765, 346, 272, 2410, 293, 315, 4118, 527, 3189, 3667, 346, 262, 3686, 18098, 2765, 346, 273, 2410, 346, 325, 13925, 342, 3686, 10954, 2765, 346, 273, 2410, 346, 325, 13925, 272, 3686, 10954, 2765, 346, 272, 2410, 346, 325, 13925, 332, 3686, 14204, 259, 7807, 2765, 346, 273, 2410, 3445, 23180, 2765, 346, 273, 2410, 1789, 23180, 2765, 346, 272, 2410, 1428, 4151, 3396, 1741, 4399, 3847, 24560, 20357, 1422, 2765, 346, 272, 2410, 346, 325, 13925, 342, 3686, 7807, 3847, 7268, 2765, 346, 275, 2410, 274, 18511, 272, 9368, 9385, 3847, 263, 10954, 2765, 346, 272, 2410, 1789, 4153, 2431, 9385, 2431, 316, 6911, 13295, 267, 8930, 1058, 581, 5116, 693, 513, 3845, 540, 1109, 7445, 2765, 346, 3445, 2410, 278, 4151, 4699, 689, 519, 7828, 780, 2971, 7726, 476, 4366, 1384, 288, 5595, 23756, 7828, 814, 17122, 3259, 476, 1839, 4699, 269, 634, 8953, 540, 22441, 540, 835, 540, 519, 7252, 568, 5595, 540, 519, 824, 269, 4855, 519, 2234, 4512, 267, 952, 519, 31659, 4994, 540, 519, 1570, 540, 519, 7828, 568, 476, 272, 269, 276, 780, 11693, 2676, 291, 19302, 23756, 7828, 540, 17122, 3259, 267, 535, 815, 476, 1839, 4699, 454, 8269, 847, 633, 4994, 540, 519, 1570, 267, 13179, 815, 476, 272, 269, 276, 454, 2026, 829, 519, 2243, 267, 519, 8953, 540, 22441, 540, 835, 2627, 568, 7466, 602, 540, 519, 824, 563, 328, 4318, 269, 681, 272, 284, 681, 543, 681, 273, 284, 6567, 273, 305, 454, 263, 3147, 1800, 547, 1129, 14908, 2020, 8794, 519, 7828, 20536, 4542, 4399, 2765, 346, 272, 2410, 325, 18098, 3847, 7268, 9507, 3189, 14153, 7684, 268, 272, 9368, 9385, 3847, 24560, 2765, 3189, 4118, 527, 346, 272, 12453, 3189, 4118, 527, 23334, 3686, 18155, 4118, 527, 346, 272, 3686, 4153, 4118, 527, 24877, 4153, 2765, 3189, 4118, 527, 346, 272, 12453, 3189, 4118, 527, 23334, 3686, 18155, 4118, 527, 346, 273, 3686, 4153, 2431, 316, 8961, 649, 723, 1384, 7445, 2765, 346, 272, 2410, 1839, 18098, 3847, 263, 272, 269, 276, 268, 272, 9368, 9385, 3847, 24560, 2765, 346, 272, 2410, 305, 32757, 3847, 7268, 2765, 346, 272, 2410, 268, 273, 305, 4153, 2431, 9385, 2431, 316, 6911, 305, 272, 815, 476, 1240, 269, 4037, 4699, 543, 681, 273, 815, 476, 4391, 269, 276, 4699, 692, 17798, 267, 519, 2838, 2234, 4512, 540, 519, 5595, 23756, 7828, 616, 476, 1240, 269, 4037, 4699, 543, 476, 4391, 269, 276, 4699, 780, 2971, 7726, 476, 5392, 1384, 763, 2234, 4512, 540, 22441, 540, 513, 7828, 616, 1341, 476, 736, 4699, 543, 1341, 476, 1789, 4699, 269, 634, 1570, 540, 519, 7828, 814, 513, 18195, 532, 4994, 476, 272, 269, 277, 269, 4855, 519, 17122, 3259, 540, 519, 7828, 630, 320, 264, 952, 621, 568, 5116, 538, 2011, 267, 543, 630, 321, 264, 952, 621, 568, 5116, 538, 1216, 630, 19031, 815, 476, 272, 269, 3451, 6393, 11693, 2676, 20238, 4512, 540, 22441, 540, 513, 7828, 267, 630, 305, 272, 264, 815, 1341, 736, 4699, 543, 681, 273, 815, 1341, 1789, 4699, 454, 8269, 847, 633, 4994, 540, 519, 1570, 540, 519, 7828, 267, 630, 19031, 264, 815, 476, 272, 269, 277, 454, 8269, 847, 633, 4994, 540, 1216, 267, 630, 19031, 4248, 264, 815, 476, 272, 269, 3451, 692, 5416, 994, 2691, 519, 7828, 568, 5116, 538, 2011, 2676, 8794, 7828, 20536, 4542, 1384, 7445, 2765, 346, 272, 2410, 325, 18098, 3847, 7268, 9507, 3189, 14153, 7684, 268, 272, 9368, 9385, 3847, 24560, 2765, 3189, 4118, 527, 346, 272, 12453, 3189, 4118, 527, 23334, 3686, 18155, 4118, 527, 346, 272, 3686, 4153, 4118, 527, 24877, 4153, 2765, 3189, 4118, 527, 346, 272, 12453, 3189, 4118, 527, 23334, 3686, 18155, 4118, 527, 346, 273, 3686, 4153, 2431, 316, 14204, 7445, 2765, 346, 272, 2410, 325, 13157, 271, 269, 277, 13375, 24560, 2765, 346, 272, 2410, 736, 32757, 2765, 346, 272, 2410, 1789, 4153, 2431, 316, 315, 28783, 3189, 22364, 346, 271, 1410, 2410, 271, 1410, 3686, 14204, 259, 325, 7807, 2765, 346, 271, 269, 277, 2410, 11793, 271, 9943, 1015, 21456, 325, 815, 476, 1911, 4699, 454, 13295, 267, 519, 17122, 3259, 540, 519, 7828, 568, 476, 1911, 4699, 950, 621, 568, 5116, 538, 2011, 780, 6357, 264, 2691, 519, 7828, 568, 5116, 538, 1216, 692, 7445, 2765, 346, 272, 2410, 325, 18098, 3847, 24560, 2765, 346, 3189, 9507, 3189, 14153, 31998, 18155, 9507, 346, 331, 839, 3686, 2410, 3189, 9507, 3189, 14153, 31998, 18155, 9507, 346, 4248, 3686, 18511, 272, 9368, 316, 315, 3847, 24560, 2765, 3189, 4118, 527, 346, 272, 12453, 346, 305, 348, 18155, 4118, 527, 346, 272, 3686, 4153, 4118, 527, 24877, 4153, 2765, 3189, 4118, 527, 346, 272, 12453, 346, 305, 348, 18155, 4118, 527, 346, 273, 3686, 4153, 2431, 316, 14204, 259, 7807, 3847, 7268, 2765, 346, 272, 269, 2568, 2410, 272, 269, 3451, 18511, 272, 9368, 9385, 3847, 24560, 2765, 346, 272, 2410, 2568, 4153, 2431, 316, 14204, 259, 7807, 2765, 346, 2764, 2410, 15836, 9943, 2568, 4153, 338, 830, 336, 1422, 2765, 346, 272, 2410, 4968, 21456, 259, 22382, 259, 325, 815, 476, 4968, 4699, 563, 13295, 267, 519, 17122, 3259, 540, 519, 7828, 568, 476, 4968, 4699, 950, 621, 568, 5116, 538, 1216, 780, 2971, 7726, 476, 2004, 1384, 299, 5151, 616, 9112, 676, 513, 1570, 540, 31659, 4994, 476, 272, 269, 2004, 269, 634, 9588, 540, 519, 2234, 4512, 540, 22441, 616, 476, 736, 4699, 543, 476, 1789, 4699, 269, 4855, 519, 17122, 13080, 540, 519, 2009, 14485, 609, 519, 1657, 16551, 780, 11693, 2676, 8269, 847, 633, 4994, 540, 519, 1570, 267, 630, 19031, 264, 815, 476, 272, 269, 2004, 454, 300, 1725, 6421, 540, 519, 8953, 540, 22441, 912, 305, 272, 815, 476, 736, 4699, 543, 681, 273, 815, 476, 1789, 4699, 692, 5804, 519, 2016, 1239, 649, 666, 1118, 2185, 2009, 14485, 267, 1210, 519, 7828, 20536, 4542, 780, 7445, 2765, 346, 272, 2410, 325, 18098, 3847, 7268, 9507, 3189, 14153, 7684, 268, 272, 9368, 9385, 3847, 7268, 2765, 346, 272, 2410, 346, 305, 13925, 272, 3686, 10559, 2765, 346, 272, 2410, 346, 305, 13925, 273, 14990, 2431, 22491, 19177, 2009, 14485, 912, 5416, 264, 476, 272, 560, 1109, 331, 839, 568, 5595, 23756, 267, 538, 799, 681, 272, 815, 1341, 736 ]

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

[ 2159, 692, 5278, 821, 2953, 803, 952, 594, 6415, 4636, 1384, 288, 1297, 666, 581, 28653, 547, 8167, 676, 14921, 676, 602, 8167, 780, 2690, 1383, 267, 952, 594, 723, 513, 5223, 540, 476, 275, 281, 274, 267, 952, 594, 3442, 476, 25953, 607, 1250, 1101, 1297, 267, 594, 9062, 621, 676, 476, 274, 270, 275, 281, 476, 25953, 630, 274, 270, 275, 264, 815, 476, 21878, 269, 1403, 596, 1616, 547, 979, 689, 476, 21878, 547, 476, 25953, 267, 798, 519, 11201, 281, 476, 21878, 630, 275, 270, 274, 264, 815, 476, 25953, 780, 3086, 1577, 781, 8831, 621, 547, 513, 5223, 609, 476, 274, 2474, 281, 476, 275, 281, 274, 281, 273, 269, 1284, 917, 602, 476, 25953, 281, 21878, 267, 865, 519, 3791, 2165, 568, 1336, 676, 14921, 676, 476, 273, 270, 274, 281, 476, 21878, 630, 273, 270, 274, 264, 815, 476, 17168, 780, 2791, 666, 1265, 1022, 2165, 538, 519, 5223, 1759, 1055, 1022, 2582, 2165, 676, 14921, 676, 519, 2953, 5223, 269, 1924, 267, 547, 1265, 519, 1101, 2165, 689, 519, 3791, 267, 649, 9062, 676, 476, 275, 270, 273, 815, 476, 273, 281, 476, 17168, 630, 273, 264, 815, 476, 25953, 780, 14187, 9939, 780, 14976, 6446, 890, 8615, 2215, 3266, 890, 8615, 13121, 1654, 806, 780, 1012, 1948, 275, 1109, 1220, 276, 268, 6021, 268, 1428, 476, 6734, 281, 5379, 281, 7871, 692, 330, 1803, 330, 520, 7568, 454, 20175, 16588, 692, 19423, 1467, 692, 2162, 1234, 281, 16393, 660, 2142, 5262, 2159, 692, 2971, 554, 9188, 2967, 5206, 1384, 20062, 2969, 4959, 8668, 31170, 30314, 8627, 2439, 22033, 5303, 692, 8310, 12995, 676, 737, 1803, 330, 520, 7568, 630, 1220, 276, 268, 6021, 268, 1428, 476, 6734, 281, 5325, 281, 1724, 2020, 1012, 1948, 276, 1109, 1220, 276, 268, 6021, 268, 1428, 476, 5881, 281, 2412, 281, 7367, 692, 13043, 338, 3674, 29222, 692, 19423, 1467, 692, 2162, 1234, 281, 16393, 660, 2142, 5262, 2159, 692, 263, 3951, 815, 6176, 5303, 3267, 700, 5357, 2020, 2005, 568, 513, 3787, 9490, 780, 2791, 2161, 1109, 476, 274, 281, 273, 269, 1839, 281, 272, 269, 277, 1109, 538, 1776, 1062, 568, 1109, 476, 18597, 281, 28071, 281, 3374, 280, 692, 3719, 713, 568, 15069, 711, 513, 1463, 5223, 267, 585, 1383, 476, 274, 568, 5176, 5595, 476, 272, 269, 277, 267, 855, 972, 568, 1100, 30945, 1063, 476, 18597, 543, 476, 3374, 280, 630, 16838, 1498, 789, 616, 538, 6587, 6753, 2020, 9827, 476, 274, 269, 276, 281, 273, 269, 273, 281, 272, 269, 277, 1109, 538, 1776, 1062, 568, 1109, 476, 26297, 281, 29204, 281, 4097, 279, 692, 4517, 649, 917, 621, 568, 1945, 547, 798, 609, 2681, 267, 799, 568, 1419, 6719, 607, 513, 1614, 8820, 2230, 692, 3383, 267, 596, 1223, 581, 7231, 609, 1114, 2081, 547, 12398, 513, 1448, 538, 476, 274, 291, 2230, 780, 27745, 596, 2285, 721, 930, 811, 9623, 3297, 1142, 1062, 286, 1109, 630, 305, 16412, 267, 670, 826, 13478, 4405, 566, 20324, 2431, 1145, 267, 700, 6058, 766, 21669, 11486, 616, 930, 594, 723, 4862, 540, 2020, 10454, 21575, 1219, 518, 1152, 547, 22697, 267, 543, 519, 22697, 1219, 518, 1152, 547, 2696, 10371, 1701, 1109, 910, 15182, 631, 269, 27439, 9007, 692, 1012, 1948, 277, 1109, 1220, 276, 268, 6021, 268, 1428, 476, 5400, 281, 1556, 281, 5881, 692, 11990, 661, 269, 15284, 454, 30252, 16588, 692, 19423, 1467, 692, 2162, 1234, 281, 16393, 660, 2142, 5262, 2159, 692, 9827, 595, 312, 300, 298, 568, 7261, 534, 267, 14117, 267, 7395, 31980, 267, 543, 4563, 269, 1109, 901, 568, 1031, 950, 11544, 23416, 563, 305, 16412, 568, 1031, 547, 3575, 1769, 267, 607, 538, 513, 2780, 5496, 267, 513, 7641, 594, 1589, 563, 3719, 1018, 568, 4277, 568, 950, 596, 3575, 782, 519, 23416, 1927, 596, 1205, 513, 4158, 2681, 899, 6960, 610, 3109, 563, 3719, 950, 596, 3575, 1769, 1927, 267, 519, 4778, 1205, 17321, 267, 543, 2212, 4724, 3043, 780, 5331, 585, 513, 4090, 602, 1256, 606, 3618, 11988, 949, 4865, 513, 2648, 540, 1582, 543, 513, 2648, 540, 1866, 269, 0, 258, 17438, 2243, 692, 1892, 645, 454, 13312, 2350, 303, 944, 454, 1692, 798, 594, 2769, 519, 1739, 9183, 28879, 2496, 296, 723, 1569, 547, 23711, 3377, 2228, 689, 1079, 1114, 4950, 4609, 267, 1142, 540, 799, 723, 827, 606, 476, 3199, 260, 10727, 540, 2965, 3246, 519, 3049, 950, 594, 2845, 5196, 519, 3135, 269, 1403, 594, 1152, 1185, 1569, 547, 835, 540, 519, 4609, 267, 594, 9364, 917, 602, 594, 1185, 606, 476, 3199, 260, 4960, 602, 594, 9364, 1205, 513, 2661, 3049, 950, 594, 29429, 538, 269, 1215, 1281, 713, 4137, 1689, 950, 594, 723, 1079, 4609, 267, 1312, 609, 602, 476, 3199, 260, 10727, 780, 763, 31112, 568, 547, 9062, 519, 1079, 17831, 1927, 267, 1775, 4318, 1421, 1547, 279, 2608, 1547, 279, 815, 1547, 5038, 1809, 602, 666, 1405, 581, 1318, 1317, 519, 5506, 814, 547, 581, 3152, 982, 1547, 279, 692, 4692, 2576, 1305, 713, 9183, 909, 585, 803, 28879, 2496, 1012, 12226, 543, 1234, 18680, 692, 20112, 16588, 454, 2252, 596, 9062, 873, 267, 596, 2811, 6998, 585, 519, 5506, 540, 3478, 513, 3377, 3049, 689, 835, 3135, 543, 1287, 519, 824, 563, 296, 1589, 594, 6415, 7508, 930, 1469, 267, 1498, 269, 1924, 596, 723, 547, 3442, 513, 3135, 267, 543, 1287, 2845, 538, 286, 2107, 1018, 286, 1684, 1312, 4609, 1402, 909, 950, 596, 2845, 5196, 8726, 596, 2811, 19883, 883, 2496, 20112, 16588, 454, 2252, 602, 781, 519, 2013, 267, 596, 2811, 3168, 585, 519, 5506, 540, 589, 543, 5924, 645, 815, 589, 610, 645, 1341, 589, 543, 645, 269, 2311, 2547, 594, 1131, 1589, 865, 269, 1411, 1152, 1416, 602, 596, 1205, 693, 2547, 835, 267, 855, 621, 781, 849, 513, 7872, 602, 596, 1205, 1079, 267, 865, 596, 991, 519, 5506, 540, 3478, 476, 272, 1341, 519, 5506, 540, 3478, 476, 273, 780, 20112, 16588, 454, 302, 330, 267, 865, 713, 568, 1018, 594, 6415, 3206, 267, 594, 1205, 513, 1871, 540, 476, 9834, 260, 950, 594, 798, 713, 563, 1012, 288, 1012, 568, 3478, 519, 3049, 689, 589, 12361, 288, 262, 1012, 568, 711, 3478, 519, 3049, 689, 589, 780, 1012, 303, 815, 9474, 262, 1341, 589, 262, 289, 1341, 9474, 1012, 692, 1805, 3530, 9622, 7978, 454, 4131, 1269, 288, 259, 581, 519, 6364, 834, 763, 1101, 3135, 1568, 2668, 2913, 1269, 289, 259, 581, 519, 6364, 834, 763, 2034, 3135, 1568, 2668, 3973, 972, 616, 476, 275, 2009, 4745, 4093, 281, 1269, 288, 1422, 342, 8354, 645, 267, 589, 1422, 342, 8354, 1422, 10864, 645, 267, 1422, 10864, 589, 1422, 342, 8354, 645, 267, 1422, 10864, 589, 1422, 342, 8354, 1422, 10864, 645, 259, 630, 3602, 4399, 10864, 259, 1797, 834, 2254, 2580, 543, 4399, 342, 8354, 259, 1797, 834, 663, 20257, 1924, 519, 5506, 602, 693, 2547, 835, 540, 519, 4609, 1568, 568, 1384, 259, 303, 10490, 1422, 557, 324, 645, 264, 815, 623, 10490, 1422, 342, 8354, 645, 264, 1341, 623, 10490, 1422, 342, 8354, 1422, 10864, 645, 264, 1341, 623, 7268, 10864, 589, 1422, 342, 8354, 645, 22491, 3602, 4399, 557, 324, 259, 1797, 834, 528, 6231, 3383, 798, 596, 917, 875, 547, 12337, 1346, 1614, 17831, 593, 519, 1318, 2427, 540, 519, 11224, 2496, 13312, 2350, 303, 944, 454, 3383, 798, 596, 917, 875, 547, 12337, 1346, 1614, 17831, 593, 519, 1318, 2427, 540, 519, 11224, 2496, 5591, 594, 1810, 1405, 269, 1809, 585, 930, 2601, 594, 2219, 16022, 569, 519, 2626, 729, 1018, 8262, 344, 3641, 1002, 7150, 267, 476, 9834, 30515, 302, 330, 267, 865, 713, 568, 1018, 594, 6415, 3206, 267, 594, 1205, 513, 1871, 540, 476, 9834, 260, 950, 594, 798, 713, 780, 296, 1810, 1405, 917, 1141, 594, 3357, 909, 609, 602, 4137, 267, 543, 950, 594, 6836, 547, 1589, 827, 875, 519, 5506, 1131, 581, 6353, 28879, 267, 594, 16668, 513, 10145, 269, 901, 568, 2523, 23892, 2094, 594, 1175, 3576, 519, 24321, 2063, 14400, 543, 1185, 891, 1826, 540, 5506, 2055, 1743, 2683, 883, 1250, 2212, 269, 594, 4312, 2907, 16618, 875, 547, 798, 873, 692, 20112, 16588, 454, 1432, 781, 519, 5506, 540, 589, 855, 711, 645, 2496, 2026, 585, 1141, 594, 3893, 602, 1297, 267, 621, 781, 519, 1482, 607, 1018, 24697, 11023, 787, 331, 568, 3257, 780, 13312, 2350, 303, 944, 454, 1805, 3530, 9622, 7978, 454, 5591, 594, 1810, 1405, 269, 1809, 585, 930, 2601, 594, 2219, 16022, 569, 519, 2626, 729, 1018, 8262, 344, 3641, 1002, 7150, 267, 476, 9834, 30515, 2791, 723, 547, 946, 930, 4031, 540, 5506, 912, 259, 303, 7268, 10864, 2473, 264, 815, 476, 272, 910, 623, 11583, 7751, 454, 259, 303, 11583, 1422, 342, 8354, 962, 264, 815, 623, 11583, 264, 1422, 10383, 623, 263, 312, 7751, 630, 604, 519, 17831, 616, 4830, 2020, 13312, 2350, 303, 944, 454, 13312, 2350, 303, 944, 454, 11754, 873, 909, 547, 1205, 8726, 596, 1205, 780, 6546, 5654, 899, 621, 8591, 909, 547, 1547, 9834, 256, 1403, 972, 781, 835, 3364, 594, 1869, 917, 875, 547, 798, 267, 621, 781, 1039, 17447, 692, 269, 5038, 1341, 1547, 1626, 1341, 1547, 1626, 815, 269, 9834, 2549, 594, 1318, 286, 594, 1589, 519, 17831, 616, 4830, 269, 1403, 596, 723, 10814, 610, 9682, 267, 596, 7168, 1454, 723, 513, 476, 1911, 260, 10727, 602, 596, 786, 1205, 513, 23711, 3049, 269, 1809, 519, 1079, 4609, 594, 1205, 1250, 23711, 3377, 3049, 689, 723, 9247, 606, 476, 3199, 260, 10727, 4830, 540, 835, 1776, 269, 594, 729, 1175, 11842, 875, 1454, 6251, 547, 476, 1911, 260, 1250, 10727, 729, 676, 2348, 519, 1079, 3681, 780, 29094, 4477, 704, 454, 20112, 16588, 454, 4322, 4267, 3100, 10169, 936, 10687, 6088, 269, 32114, 519, 17831, 540, 10691, 3478, 513, 3049, 689, 835, 3135, 616, 10446, 476, 272, 910, 476, 271, 269, 279, 815, 476, 271, 269, 273, 267, 519, 5506, 540, 711, 3478, 513, 3049, 689, 1312, 4609, 568, 476, 271, 269, 273, 1535, 476, 271, 269, 273, 815, 476, 271, 269, 6860, 269, 1924, 519, 5506, 540, 713, 711, 8345, 630, 328, 4318, 269, 3478, 513, 3049, 689, 693, 2547, 835, 3135, 264, 568, 476, 272, 910, 476, 271, 269, 6860, 815, 476, 271, 269, 9834, 780, 314, 539, 527, 910, 3773, 713, 316, 4517, 952, 596, 723, 1614, 4609, 2139, 267, 519, 5506, 540, 711, 3478, 513, 3049, 689, 1022, 568, 476, 272, 910, 476, 271, 269, 2537, 815, 476, 4200, 269, 273, 260, 780, 13312, 2350, 303, 944, 543, 4437, 294, 344, 14976, 299, 334, 2662, 4263, 454, 29094, 4477, 704, 454, 20112, 16588, 454, 1708, 273, 13815, 454, 6546, 5654, 899, 621, 8591, 909, 547, 1547, 9834, 256, 1403, 972, 781, 835, 3364, 594, 1869, 917, 875, 547, 798, 267, 621, 781, 1039, 17447, 692, 269, 5038, 1341, 1547, 1626, 1341, 1547, 1626, 815, 269, 9834, 2549, 594, 1318, 286, 594, 1589, 519, 17831, 616, 4830, 269, 1403, 596, 723, 10814, 610, 9682, 267, 596, 7168, 1454, 723, 513, 476, 1911, 260, 10727, 602, 596, 786, 1205, 513, 23711, 3049, 269, 1809, 519, 1079, 4609, 594, 1205, 1250, 23711, 3377, 3049, 689, 723, 9247, 606, 476, 3199, 260, 10727, 4830, 540, 835, 1776, 269, 594, 729, 1175, 11842, 875, 1454, 6251, 547, 476, 1911, 260, 1250, 10727, 729, 676, 2348, 519, 1079, 3681, 563, 8133, 267, 621, 781, 476, 9834, 260, 952, 519, 1079, 616, 4830, 269, 634, 14724, 9819, 568, 875, 1419, 596, 723, 9444, 269, 2334, 781, 476, 271, 269, 273, 1535, 476, 271, 269, 273, 815, 476, 271, 269, 6860, 780, 271, 269, 279, 1535, 476, 271, 269, 279, 815, 476, 271, 269, 5038, 568, 519, 5506, 596, 723, 1312, 780, 4517, 476, 271, 269, 279, 1535, 476, 271, 269, 273, 815, 476, 271, 269, 1626, 568, 519, 5506, 596, 723, 519, 1101, 855, 711, 519, 2034, 269, 6684, 621, 781, 519, 1482, 5506, 596, 723, 519, 2034, 855, 711, 519, 1101, 269, 9747, 1384, 5038, 260, 1312, 20555, 2139, 454, 3953, 260, 1152, 835, 3049, 2139, 454, 275, 260, 9444, 3049, 2139, 692, 13312, 2350, 303, 944, 454, 20112, 16588, 454, 4322, 4267, 3100, 10169, 936, 10687, 6088, 269, 32114, 519, 17831, 540, 10691, 3478, 513, 3049, 689, 835, 3135, 616, 10446, 476, 272, 910, 476, 271, 269, 279, 815, 476 ]

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

[ 349, 2353, 21797, 630, 573, 267, 1566, 267, 3092, 4700, 538, 519, 3948, 616, 9674, 676, 606, 17062, 454, 1948, 349, 2318, 1297, 540, 5624, 630, 6393, 258, 349, 2871, 5875, 3975, 10148, 912, 258, 349, 476, 272, 10922, 3009, 299, 1149, 32324, 10922, 476, 276, 265, 1015, 317, 275, 2676, 258, 349, 476, 280, 10922, 3009, 299, 1149, 5157, 4940, 26319, 10922, 476, 5197, 780, 258, 349, 1496, 16059, 316, 5569, 692, 258, 349, 17776, 834, 10498, 257, 952, 972, 941, 1100, 17511, 6959, 267, 610, 3116, 2132, 519, 1101, 454, 1948, 349, 1899, 609, 25314, 520, 3481, 2010, 6382, 563, 3097, 3698, 1826, 10267, 9535, 6262, 1712, 299, 1149, 17107, 692 ]

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

[ 0, 5814, 556, 692, 5035, 24812, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 3090, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 32188, 815, 3090, 692, 3698, 1711, 318, 16651, 10031, 825, 4806, 815, 556, 2593, 335, 850, 16868, 262, 314, 320, 22271, 288, 19053, 271, 268, 280, 316, 5073, 825, 4806, 318, 32188, 815, 556, 2593, 335, 850, 16868, 262, 343, 347, 334, 17210, 825, 1247, 6936, 912, 1038, 2012, 272, 815, 3403, 3488, 11767, 6345, 835, 2012, 281, 30386, 1038, 4779, 815, 4806, 269, 14142, 28442, 272, 994, 1038, 952, 4779, 2652, 7183, 912, 2018, 1820, 2891, 8923, 4283, 513, 2012, 630, 10401, 5991, 10179, 545, 1152, 1040, 5602, 2018, 3136, 454, 1038, 3116, 912, 2018, 2736, 22562, 825, 1247, 6936, 912, 1038, 3090, 318, 1721, 12173, 272, 815, 3403, 3488, 12663, 596, 1404, 834, 311, 257, 610, 834, 302, 22172, 1412, 1040, 12294, 4590, 1038, 4779, 318, 32188, 815, 4806, 318, 32188, 269, 14142, 263, 32188, 318, 1721, 12173, 272, 994, 1038, 952, 4779, 318, 32188, 2652, 7183, 912, 2018, 1820, 2891, 8923, 2824, 689, 1412, 311, 262, 610, 1412, 302, 262, 1152, 23528, 2018, 3136, 454, 1038, 3116, 912, 2018, 2736, 22562, 825, 1247, 6936, 912, 1038, 2012, 273, 815, 3403, 3488, 11767, 6345, 1079, 2012, 281, 30386, 1038, 4779, 318, 273, 815, 4806, 269, 14142, 28442, 273, 994, 1038, 952, 4779, 318, 273, 2652, 7183, 912, 2018, 1820, 2891, 8923, 4283, 513, 2012, 630, 10401, 5991, 10179, 545, 1152, 1040, 5602, 2018, 3136, 454, 1038, 3116, 912, 2018, 2736, 22562, 825, 3090, 318, 1721, 12173, 273, 815, 1412, 7055, 825, 952, 3090, 318, 1721, 12173, 272, 2652, 834, 334, 13426, 1038, 3090, 318, 1721, 12173, 273, 815, 834, 343, 4840, 825, 8640, 3090, 318, 1721, 12173, 272, 2652, 834, 343, 13426, 1038, 3090, 318, 1721, 12173, 273, 2652, 834, 334, 5016, 825, 6345, 272, 815, 24812, 28442, 272, 267, 3090, 318, 1721, 12173, 272, 994, 825, 6345, 273, 815, 24812, 28442, 273, 267, 3090, 318, 1721, 12173, 273, 2020, 825, 2132, 6345, 272, 267, 6345, 273, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5228, 6449, 325, 1956, 1029, 1104, 27033, 1712, 9078, 3438, 1023, 692, 5814, 556, 692, 5228, 533, 2988, 4176, 514, 269, 4186, 1026, 6745, 821, 318, 935, 3200, 1104, 3159, 15461, 4671, 821, 273, 267, 3159, 273, 15461, 4671, 821, 692, 23631, 19571, 815, 556, 2593, 335, 850, 16868, 262, 315, 323, 262, 9239, 5035, 570, 821, 306, 16905, 300, 1460, 514, 24998, 2187, 825, 29185, 825, 17276, 490, 487, 418, 503, 362, 20881, 504, 13644, 507, 9463, 502, 420, 364, 481, 25335, 482, 10254, 503, 14035, 482, 419, 494, 484, 418, 489, 376, 421, 509, 367, 16088, 692, 825, 2608, 4179, 2517, 523, 25769, 3820, 28293, 270, 24092, 318, 24336, 318, 874, 517, 1108, 258, 307, 821, 5334, 16905, 454, 825, 2608, 4179, 2517, 13231, 5670, 328, 3820, 270, 30795, 4211, 301, 270, 16753, 7302, 4042, 14121, 821, 7302, 5190, 2987, 2173, 663, 18288, 270, 692, 825, 5727, 476, 1948, 1100, 32142, 692, 825, 1219, 2022, 7272, 4176, 514, 4311, 267, 554, 534, 267, 10636, 7716, 267, 533, 4176, 514, 8217, 267, 2878, 29220, 16911, 2187, 1038, 1427, 815, 2706, 24867, 821, 306, 16905, 300, 1460, 514, 267, 1582, 1040, 14006, 7272, 4176, 514, 18692, 2018, 554, 534, 267, 10636, 7716, 267, 533, 4176, 514, 8217, 267, 2878, 29220, 16911, 994, 1038, 952, 1427, 568, 711, 7183, 912, 2018, 533, 4176, 514, 8217, 815, 1427, 692, 1038, 533, 4176, 514, 8217, 815, 1582, 11519, 628, 2273, 4671, 821, 263, 7315, 267, 533, 4176, 514, 8217, 994, 1038, 533, 4176, 514, 8217, 815, 1582, 11519, 25975, 263, 7315, 267, 533, 4176, 514, 8217, 994, 1038, 533, 4176, 514, 8217, 815, 1582, 11519, 344, 328, 263, 7315, 267, 533, 4176, 514, 8217, 2020, 1038, 2132, 533, 4176, 514, 8217, 692, 825, 1219, 9041, 628, 2273, 4671, 821, 4311, 267, 554, 534, 267, 533, 4176, 514, 8217, 2187, 1038, 29185, 1038, 12059, 3159, 5070, 6062, 1384, 1038, 634, 9030, 4341, 540, 3791, 3159, 5070, 6062, 568, 1384, 2018, 1879, 972, 616, 1079, 15654, 3791, 2389, 821, 24424, 267, 519, 1101, 540, 873, 568, 14733, 609, 2034, 3159, 780, 1038, 1280, 1383, 267, 561, 387, 492, 9655, 387, 498, 476, 26033, 479, 421, 376, 510, 9497, 332, 1787, 8442, 2501, 547, 581, 14733, 561, 5451, 9655, 387, 498, 1496, 331, 879, 392, 363, 391, 356, 391, 354, 390, 480, 340, 391, 357, 391, 358, 4940, 898, 814, 1044, 11567, 2436, 519, 8375, 26048, 630, 391, 356, 391, 354, 264, 593, 519, 1991, 27612, 568, 538, 1249, 9838, 547, 513, 3339, 2034, 3159, 282, 621, 814, 1044, 11943, 602, 621, 568, 267, 693, 2547, 538, 2474, 540, 17391, 8226, 16804, 272, 13912, 587, 488, 26801, 587, 488, 692, 1038, 1879, 972, 616, 1614, 610, 811, 3791, 18565, 538, 513, 4737, 267, 519, 3510, 3587, 811, 7294, 267, 2094, 513, 3791, 3159, 602, 9551, 525, 513, 2034, 3159, 4611, 689, 3791, 3159, 5070, 6062, 949, 610, 949, 711, 581, 1641, 547, 5070, 6062, 3294, 269, 634, 2164, 949, 4096, 593, 2262, 6302, 267, 2566, 267, 543, 13172, 531, 7648, 269, 4937, 3652, 585, 1614, 1606, 22690, 762, 3791, 2389, 821, 10659, 666, 581, 19775, 607, 5205, 1384, 2018, 1403, 519, 1101, 2262, 568, 1079, 24424, 543, 519, 2034, 2262, 568, 835, 27612, 267, 1287, 519, 1101, 1079, 24424, 1831, 2034, 18565, 269, 1280, 1383, 267, 536, 387, 492, 690, 340, 387, 492, 333, 554, 387, 492, 334, 476, 32517, 507, 28997, 350, 417, 354, 377, 9497, 1729, 1491, 1434, 1416, 540, 8442, 3217, 519, 12332, 536, 5451, 690, 340, 17505, 554, 387, 492, 334, 1496, 335, 879, 392, 363, 391, 356, 391, 354, 330, 9774, 391, 356, 391, 354, 343, 879, 392, 363, 391, 357, 391, 358, 391, 355, 14073, 2018, 1403, 519, 1101, 2262, 568, 835, 27612, 267, 543, 519, 2034, 2262, 568, 1079, 24424, 267, 519, 2034, 27612, 3587, 2034, 3159, 267, 855, 519, 1101, 27612, 3788, 3791, 3159, 269, 1280, 1383, 281, 561, 387, 492, 334, 536, 387, 492, 690, 340, 387, 492, 333, 476, 26033, 479, 32517, 507, 28997, 350, 9497, 1729, 1491, 1416, 540, 782, 519, 942, 8442, 3217, 519, 12332, 561, 387, 492, 334, 536, 5451, 690, 340, 387, 492, 333, 1496, 331, 879, 392, 363, 391, 357, 391, 358, 335, 879, 392, 363, 391, 356, 391, 354, 330, 9774, 391, 357, 391, 358, 391, 355, 316, 780, 1038, 2368, 8059, 1235, 723, 2322, 4464, 811, 3102, 1949, 540, 5070, 6062, 3652, 585, 2789, 3791, 3159, 9696, 269, 1280, 1383, 267, 621, 568, 6069, 314, 272, 13912, 587, 488, 27886, 587, 488, 602, 12381, 616, 4294, 7814, 1227, 267, 7620, 1369, 24754, 3952, 630, 339, 549, 3832, 525, 282, 1294, 2630, 1070, 543, 602, 5070, 6062, 834, 928, 539, 711, 4019, 1063, 1079, 28023, 8371, 6231, 1038, 5727, 476, 1948, 1100, 32142, 454, 1038, 3159, 273, 7272, 4176, 514, 8217, 815, 1496, 339, 821, 15461, 4671, 821, 273, 3287, 314, 271, 8079, 585, 1535, 538, 533, 4176, 514, 8217, 2639, 1038, 952, 1412, 274, 262, 711, 538, 1412, 8339, 21860, 6025, 821, 273, 7272, 4176, 514, 8217, 2187, 2018, 2132, 533, 4176, 514, 8217, 692, 1038, 4957, 815, 8771, 454, 1038, 3791, 19571, 815, 476, 271, 454, 1038, 585, 533, 4176, 514, 538, 3159, 273, 7272, 4176, 514, 8217, 912, 2018, 952, 1412, 274, 262, 538, 533, 4176, 514, 912, 3546, 3791, 19571, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 3791, 19571, 815, 476, 271, 692, 1038, 952, 3791, 19571, 2652, 476, 273, 912, 2018, 585, 1775, 267, 642, 538, 26246, 6025, 821, 273, 7272, 4176, 514, 8217, 2187, 3546, 952, 1412, 274, 262, 538, 642, 912, 7386, 3159, 273, 7272, 4176, 514, 8217, 5157, 316, 815, 642, 18622, 2897, 3488, 274, 3299, 1412, 273, 5073, 7386, 4957, 815, 6936, 454, 7386, 2736, 692, 1038, 8640, 3791, 19571, 3436, 476, 273, 912, 2018, 562, 815, 476, 272, 454, 2018, 585, 1775, 267, 642, 538, 26246, 6025, 821, 273, 7272, 4176, 514, 8217, 2187, 3546, 952, 1412, 274, 262, 538, 642, 912, 7386, 952, 562, 2652, 3791, 19571, 912, 13376, 2736, 454, 7386, 3159, 273, 7272, 4176, 514, 8217, 5157, 316, 815, 642, 18622, 2897, 3488, 274, 3299, 1412, 273, 5073, 7386, 4957, 815, 6936, 454, 7386, 562, 6834, 476, 272, 692, 1038, 952, 4957, 912, 2018, 2132, 20886, 339, 821, 273, 15461, 4671, 821, 3287, 13580, 585, 1535, 538, 3159, 273, 7272, 4176, 514, 8217, 6540, 1038, 2132, 533, 4176, 514, 8217, 692, 825, 1219, 9041, 25975, 4311, 267, 554, 534, 267, 533, 4176, 514, 8217, 2187, 1038, 29185, 1038, 1280, 476, 21251, 536, 383, 373, 1384, 2018, 476, 21251, 568, 14733, 609, 2034, 3159, 950, 4553, 676, 513, 8772, 3159, 27612, 780, 3546, 7151, 281, 476, 21251, 15159, 630, 321, 383, 373, 266, 3333, 383, 361, 267, 834, 1729, 711, 581, 8442, 3587, 536, 14243, 3333, 383, 361, 1496, 30298, 391, 356, 391, 354, 390, 480, 389, 375, 392, 358, 391, 354, 391, 358, 6540, 2018, 769, 824, 2665, 267, 476, 21251, 568, 14733, 609, 8772, 3159, 269, 1717, 267, 950, 1031, 1063, 1913, 538, 606, 589, 27677, 5025, 2243, 267, 621, 949, 1831, 9243, 538, 3159, 630, 324, 3052, 1421, 476, 15159, 21251, 15159, 695, 383, 361, 321, 2313, 383, 361, 6393, 1038, 5727, 476, 1948, 1100, 32142, 454, 1038, 952, 1412, 21251, 262, 711, 538, 554, 534, 912, 2018, 2132, 533, 4176, 514, 8217, 692, 1038, 3159, 273, 7272, 4176, 514, 8217, 815, 1496, 339, 821, 15461, 4671, 821, 273, 3287, 314, 271, 8079, 585, 1535, 538, 533, 4176, 514, 8217, 2639, 1038, 4957, 815, 8771, 692, 1038, 585, 1775, 267, 554, 538, 26246, 263, 7315, 2187, 2018, 1699, 7272, 4176, 514, 815, 3159, 273, 7272, 4176, 514, 8217, 5157, 2639, 2018, 952, 554, 2652, 1412, 21251, 262, 543, 1775, 2999, 7003, 263, 7315, 264, 910, 476, 272, 912, 3546, 1985, 7272, 4176, 514, 815, 3159, 273, 7272, 4176, 514, 8217, 5157, 266, 272, 2639, 3546, 952, 1412, 275, 262, 538, 1985, 7272, 4176, 514, 912, 7386, 3159, 273, 7272, 4176, 514, 8217, 5157, 316, 815, 1699, 7272, 4176, 514, 18622, 2897, 3488, 275, 3299, 1412, 273, 5073, 7386, 4957, 815, 6936, 454, 3546, 3116, 912, 7386, 3159, 273, 7272, 4176, 514, 8217, 5157, 316, 815, 9041, 516, 19571, 16553, 3488, 275, 3299, 1699, 7272, 4176, 514, 994, 7386, 4957, 815, 6936, 454, 2018, 8640, 554, 2652, 1412, 21251, 12466, 3546, 3159, 273, 7272, 4176, 514, 8217, 5157, 316, 815, 9041, 516, 19571, 16553, 3488, 275, 3299, 1699, 7272, 4176, 514, 994, 3546, 4957, 815, 6936, 692, 1038, 952, 4957, 912, 2018, 2132, 20886, 339, 821, 273, 15461, 4671, 821, 3287, 13580, 585, 1535, 538, 3159, 273, 7272, 4176, 514, 8217, 6540, 1038, 2132, 533, 4176, 514, 8217, 692, 825, 1219, 9041, 344, 328, 4311, 267, 554, 534, 267, 533, 4176, 514, 8217, 2187, 1038, 29185, 1038, 1280, 476, 13601, 586, 13682, 1384, 2018, 476, 13601, 568, 14733, 609, 2034, 3159, 950, 4553, 676, 513, 8772, 3159, 27612, 780, 3546, 7151, 281, 476, 13601, 27936, 630, 344, 13682, 266, 323, 383, 361, 978, 267, 834, 332, 755, 8442, 3587, 586, 6403, 323, 383, 361, 978, 1496, 328, 391, 356, 391, 354, 16210, 385, 489, 391, 354, 391, 358, 6540, 2018, 6969, 513, 1101, 267, 2034, 610, 3791, 3159, 27612, 267, 476, 13601, 568, 14733, 609, 8772, 3159, 780, 3546, 6201, 16088, 13601, 14035, 358, 630, 344, 13682, 266, 16210, 31488, 267, 834, 821, 1554, 8442, 3587, 586, 383, 361, 16210, 31488, 1496, 328, 391, 354, 391, 358, 339, 390, 364, 329, 389, 505, 333, 391, 354, 3910, 476, 13601, 23946, 368, 630, 344, 13682, 266, 14269, 17505, 267, 834, 821, 1032, 8442, 3587, 586, 383, 361, 14269, 17505, 1496, 328, 391, 354, 391, 358, 333, 329, 389, 505, 333, 391, 356, 391, 354, 3910, 476, 13601, 420, 369, 371, 630, 344, 13682, 266, 336, 387, 494, 267, 834, 339, 6320, 8442, 3587, 586, 383, 361, 336, 387, 494, 1496, 328, 391, 354, 391, 358, 339, 393, 350, 389, 499, 390, 364, 328, 391, 357, 391, 358, 391, 355, 316, 780, 2018, 1879, 3803, 267, 610, 950, 621, 2501, 693, 519, 1439, 540, 513, 3818, 1606, 22690, 762, 2262, 630, 2958, 14177, 540, 519, 1101, 3159, 540, 519 ]

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

[ 281, 22374, 645, 269, 18722, 454, 3725, 3161, 11261, 281, 476, 1220, 275, 268, 4905, 268, 2641, 454, 1607, 15610, 729, 2966, 609, 519, 936, 31186, 3804, 547, 2445, 1927, 538, 513, 2582, 4199, 519, 1702, 6383, 676, 713, 15834, 2361, 267, 10223, 519, 6402, 1063, 2257, 543, 2259, 269, 769, 621, 267, 5640, 267, 1072, 1416, 9439, 543, 519, 2489, 1857, 786, 1265, 513, 5763, 540, 1344, 593, 3584, 971, 607, 2168, 2534, 267, 2566, 543, 1072, 267, 7296, 267, 1928, 2359, 267, 1514, 1489, 543, 1072, 267, 9025, 1072, 267, 1072, 13319, 267, 543, 7486, 25266, 269, 901, 1079, 31891, 1305, 2882, 811, 982, 476, 1220, 13366, 593, 3584, 8720, 782, 3344, 540, 1072, 543, 2623, 269, 769, 1840, 267, 519, 15610, 540, 2657, 543, 10263, 2882, 513, 3102, 1305, 540, 3606, 2200, 609, 13366, 593, 5697, 3906, 543, 606, 30569, 609, 513, 2143, 23064, 17609, 540, 971, 3906, 607, 1134, 607, 5680, 4609, 540, 1719, 563, 12041, 281, 20900, 808, 269, 4354, 26385, 454, 21812, 281, 10017, 4964, 454, 3725, 3161, 11261, 281, 476, 1220, 271, 454, 257, 10890, 10017, 568, 20688, 13402, 585, 519, 2875, 1007, 547, 2362, 7400, 1353, 269, 2060, 922, 5363, 1837, 2934, 3177, 547, 4217, 538, 6514, 543, 1565, 2553, 267, 621, 1058, 1719, 782, 2606, 6530, 1053, 267, 607, 1134, 607, 1346, 2866, 585, 519, 12391, 2533, 267, 2436, 11923, 267, 1612, 3139, 923, 610, 1514, 4600, 1701, 734, 19447, 10498, 808, 19272, 4953, 563, 12041, 281, 4793, 878, 807, 31661, 3118, 454, 21812, 281, 29021, 2657, 7070, 454, 3725, 3161, 11261, 281, 476, 1001, 274, 268, 6187, 268, 1240, 454, 1607, 4628, 8242, 2034, 7160, 568, 2854, 4481, 585, 1072, 2257, 543, 8808, 1053, 538, 5245, 543, 1715, 10215, 269, 589, 3578, 1819, 676, 519, 3810, 9833, 4793, 878, 807, 31661, 3118, 267, 609, 513, 3309, 2039, 540, 4274, 20334, 267, 713, 29021, 552, 26247, 3705, 1206, 6530, 585, 11923, 267, 607, 1134, 607, 585, 1053, 540, 1612, 3139, 21778, 267, 17163, 3797, 267, 1610, 23956, 267, 1857, 1072, 267, 26849, 267, 6530, 267, 1514, 960, 543, 4571, 342, 604, 2044, 269, 10017, 585, 2657, 28968, 476, 273, 324, 552, 26247, 12116, 1898, 5626, 6436, 267, 11093, 873, 1369, 513, 1514, 2796, 269, 31158, 1194, 3101, 2810, 4656, 602, 7180, 568, 6766, 607, 1454, 676, 5007, 2188, 607, 6211, 543, 5626, 3283, 267, 519, 1433, 779, 1101, 3368, 14592, 5626, 267, 14438, 543, 1514, 6436, 267, 1287, 10039, 873, 547, 4207, 1072, 2152, 538, 2663, 11271, 269, 589, 1883, 1445, 540, 713, 3056, 6530, 552, 26247, 568, 6313, 1367, 7209, 543, 5626, 3069, 1369, 519, 1514, 2796, 540, 1004, 779, 2729, 269, 1715, 1543, 2882, 1699, 267, 2963, 2861, 1382, 267, 8100, 543, 4791, 1806, 4143, 547, 15834, 267, 4207, 3782, 2259, 269, 12983, 540, 2686, 3106, 543, 4656, 723, 1044, 22541, 2429, 282, 972, 568, 513, 1007, 3296, 593, 5312, 4576, 543, 513, 1445, 593, 6051, 269, 901, 2606, 6530, 552, 26247, 1281, 711, 8263, 922, 3988, 786, 723, 1991, 2048, 17595, 1108, 685, 1702, 267, 2943, 621, 666, 3362, 581, 1031, 1134, 3564, 1101, 4458, 6280, 269, 11879, 3206, 2055, 15858, 2238, 3194, 1445, 10833, 3246, 1806, 540, 1699, 1382, 543, 2963, 2861, 2259, 3955, 13694, 2013, 2090, 2429, 4329, 2200, 543, 1357, 6402, 547, 1683, 2417, 2542, 543, 1382, 543, 909, 3562, 15082, 1344, 267, 1239, 543, 7194, 454, 4504, 3726, 643, 11634, 331, 1678, 3768, 11634, 7238, 333, 256, 5576, 331, 1380, 5378, 1629, 4144, 7564, 13512, 23167, 3768, 1990, 584, 6686, 1188, 1990, 340, 32489, 655, 28571, 14660, 997, 1156, 918, 23152, 704, 613, 325, 6686, 25632, 3768, 3647, 2102, 1380, 19315, 928, 11634, 548, 577, 5052, 717, 1168, 1170, 523, 1107, 10523, 324, 645, 1824, 577, 10762, 2357, 18283, 601, 333, 5884, 581, 16582, 4201, 528, 4883, 523, 538, 1775, 327, 8145, 29246, 29770, 4504, 3726, 643, 2806, 928, 327, 5443, 2108, 269, 667, 3317, 530, 518, 581, 342, 639, 560, 3768, 19315, 928, 5576, 592, 323, 613, 325, 6686, 327, 548, 568, 560, 3768, 14193, 325, 694, 514, 523, 918, 23152, 704, 554, 7238, 4135, 267, 3541, 530, 2273, 561, 1716, 523, 694, 514, 523, 918, 23152, 704, 1990, 340, 513, 330, 2763, 696, 328, 7967, 269, 1924, 535, 7564, 961, 339, 1965, 575, 11961, 682, 32218, 267, 2566, 325, 516, 328, 3768, 14193, 325, 28571, 14660, 997, 515, 1284, 1047, 705, 345, 2317, 327, 5443, 563, 12041, 281, 20574, 654, 753, 1074, 454, 21812, 281, 28941, 7638, 25419, 454, 3725, 3161, 11261, 281, 476, 1220, 279, 268, 6349, 268, 1321, 454, 7049, 516, 281, 4317, 3163, 454, 19324, 530, 2273, 575, 1122, 612, 523, 267, 729, 14193, 325, 3954, 570, 27688, 737, 2174, 339, 267, 3768, 1965, 530, 2273, 513, 1276, 14193, 325, 613, 326, 612, 523, 1107, 20312, 1990, 636, 3787, 339, 7967, 7736, 324, 269, 12603, 6182, 6686, 526, 324, 267, 2112, 636, 267, 729, 3768, 530, 773, 642, 1408, 530, 597, 1089, 523, 267, 521, 785, 642, 1408, 325, 7564, 2741, 580, 269, 715, 584, 530, 3317, 530, 597, 20146, 737, 3317, 523, 267, 3110, 523, 530, 597, 552, 710, 26554, 267, 796, 572, 516, 717, 1168, 7897, 15241, 523, 1990, 340, 3331, 353, 837, 333, 563, 12041, 281, 22189, 23846, 454, 21812, 281, 10017, 4964, 454, 3725, 3161, 11261, 281, 476, 1220, 271, 454, 7049, 516, 281, 2657, 1299, 24524, 454, 2304, 2254, 566, 21278, 513, 2565, 2689, 540, 519, 1699, 1533, 540, 1072, 13319, 1382, 269, 901, 1433, 556, 8410, 24632, 2478, 519, 2361, 540, 1072, 13319, 607, 10319, 543, 10128, 13055, 267, 2864, 982, 607, 513, 25071, 585, 30095, 543, 7214, 804, 10449, 269, 898, 2306, 513, 1713, 9295, 547, 5571, 26381, 1670, 267, 7811, 543, 27696, 9840, 538, 1072, 13319, 1382, 269, 2060, 20334, 689, 13785, 267, 16848, 267, 16862, 267, 8581, 267, 519, 5177, 543, 519, 2475, 267, 3194, 532, 2657, 8871, 10056, 786, 581, 540, 1719, 547, 1053, 543, 4648, 2324, 538, 1072, 13319, 267, 1857, 1072, 267, 4915, 543, 1072, 3609, 563, 12041, 281, 8176, 667, 7795, 24513, 454, 21812, 281, 19545, 12670, 7638, 25419, 454, 3725, 3161, 11261, 281, 476, 1001, 273, 268, 6021, 268, 1015, 454, 5353, 527, 737, 584, 345, 655, 2613, 1075, 1156, 670, 597, 333, 325, 832, 7815, 267, 7638, 327, 5306, 839, 17595, 860, 523, 3768, 1924, 17844, 860, 523, 17576, 324, 1231, 600, 683, 826, 4165, 342, 677, 523, 14193, 325, 552, 710, 579, 1537, 974, 674, 14141, 1990, 340, 1265, 523, 281, 2782, 636, 7113, 530, 597, 552, 580, 550, 28727, 267, 729, 530, 597, 7113, 286, 12984, 1024, 879, 929, 7564, 25885, 796, 572, 516, 717, 1168, 7897, 15241, 523, 286, 1323, 8518, 1990, 22844, 516, 545, 615, 2142, 7371, 773, 548, 513, 639, 3541, 674, 832, 577, 2426, 530, 773, 1629, 2353, 32002, 2144, 345, 7564, 327, 2741, 8176, 667, 7795, 24513, 13153, 3541, 7557, 339, 3541, 13705, 710, 3768, 737, 2174, 339, 1629, 11115, 1143, 639, 267, 32623, 513, 1276, 3954, 546, 6064, 6352, 1530, 527, 523, 3541, 717, 1168, 7897, 15241, 14193, 325, 5884, 1975, 584, 269, 8210, 2144, 9383, 7564, 4135, 267, 2112, 636, 32489, 15607, 631, 839, 7770, 1965, 11634, 3530, 523, 267, 3331, 376, 828, 715, 25638, 5378, 1629, 681, 879, 7770, 14193, 325, 345, 7795, 7238, 1066, 630, 1495, 543, 699, 562, 32218, 1070, 530, 525, 15595, 321, 546, 553, 2983, 8583, 23036, 7328, 997, 615, 670, 7238, 577, 560, 548, 626, 2426, 538, 1884, 1778, 328, 1068, 523, 14825, 32236, 523, 9114, 25885, 3768, 530, 773, 521, 747, 5884, 1323, 7716, 523, 1325, 330, 2129, 565, 32304, 5884, 7557, 339, 3541, 717, 1168, 7897, 15241, 1990, 684, 583, 2763, 5672, 1156, 269, 17880, 339, 1990, 340, 2280, 345, 339, 11634, 843, 1068, 2144, 267, 530, 773, 23951, 10045, 928, 28985, 523, 513, 639, 613, 17754, 267, 19804, 796, 572, 516, 1323, 613, 342, 7897, 15241, 523, 24166, 1775, 327, 516, 2098, 933, 322, 651, 1990, 340, 6354, 25625, 7967, 269, 2549, 7736, 324, 530, 2273, 552, 1149, 737, 24882, 281, 12603, 7557, 339, 13153, 717, 1168, 7897, 15241, 523, 929, 7564, 25885, 5667, 518, 2274, 17754, 649, 527, 803, 15590, 267, 620, 338, 530, 597, 1965, 513, 18255, 523, 563, 12041, 281, 27813, 21651, 454, 21812, 281, 20307, 774, 1941, 525, 454, 3725, 3161, 11261, 281, 476, 1220, 276, 454, 1607, 1433, 2488, 606, 3015, 4367, 547, 5626, 1382, 543, 3069, 267, 11341, 891, 547, 3782, 2833, 543, 2259, 269, 898, 6941, 875, 5626, 6436, 666, 581, 1031, 547, 4612, 267, 2491, 543, 8362, 3310, 513, 2875, 779, 1378, 1995, 540, 267, 543, 2259, 538, 267, 4948, 8658, 269, 634, 1433, 2882, 2875, 11042, 547, 3986, 31675, 540, 1806, 6035, 269, 0, 17780, 593, 513, 30453, 689, 11427, 13690, 781, 1362, 454, 303, 1886, 698, 7701, 8992, 513, 1587, 267, 1268, 610, 2856, 676, 13267, 547, 7553, 267, 711, 2601, 269, 11879, 6800, 786, 3343, 2963, 267, 6169, 267, 7954, 563, 272, 269, 8745, 10912, 1862, 6402, 1587, 547, 513, 2942, 2262, 269, 1530, 4060, 547, 25339, 4616, 540, 1945, 676, 2679, 16663, 1472, 621, 563, 268, 7151, 281, 3911, 11481, 267, 3170, 267, 4617, 267, 4057, 267, 2352, 282, 10240, 9917, 17771, 267, 21340, 267, 796, 6312, 686, 5328, 563, 268, 5999, 547, 2307, 281, 1548, 1281, 519, 2262, 1611, 286, 6496, 519, 1587, 2731, 723, 513, 4276, 547, 519, 2262, 286, 2549, 594, 15603, 979, 540, 1945, 594, 899, 1317, 540, 513, 3983, 2012, 286, 9453, 519, 2012, 10912, 267, 568, 519, 1448, 1869, 4570, 888, 273, 269, 3794, 7867, 532, 2489, 885, 1862, 568, 2012, 10912, 538, 9258, 267, 16046, 513, 1587, 547, 513, 4075, 6681, 2262, 269, 1530, 4060, 547, 5000, 4616, 676, 13267, 547, 2318, 7553, 563, 268, 7151, 281, 22640, 267, 32742, 267, 1072, 267, 2648, 267, 10340, 333, 267, 1434, 267, 1318, 267, 1920, 563, 268, 5999, 547, 2307, 281, 1548, 1281, 519, 2262, 2731, 1611, 267, 543, 1281, 519, 1587, 2731, 1921, 547, 621, 286, 1772, 513, 1587, 596, 1810, 1405, 899, 1373, 4421, 676, 4758, 621, 513, 2012, 270, 638, 1275, 596, 798, 899, 286, 9453, 519, 1350, 7867, 532, 1252, 1275, 267, 568, 519, 1448, 1869, 4570, 888, 274, 269, 18734, 1862, 13976, 2318, 598, 31037, 527, 976, 1063, 2472, 543, 2592, 602, 616, 711, 25401, 4448, 269, 1530, 4060, 547, 3895, 1587, 676, 1210, 519, 1379, 540, 1945, 6068, 610, 15197, 269, 630, 9616, 281, 18734, 9388, 609, 2592, 267, 711, 1913, 8094, 268, 7151, 281, 5783, 11305, 1484, 267, 4182, 270, 4148, 698, 267, 2257, 610, 4915, 267, 28245, 267, 1453, 269, 630, 7343, 548, 2780, 5859, 8094, 268, 5999, 547, 2307, 281, 1548, 1281, 519, 740, 1616, 721, 547, 798, 286, 1772, 972, 513, 3020, 4276, 1063, 519, 1587, 543, 519, 3090, 286, 2274, 3058, 856, 519, 3308, 3239, 267, 1018, 616, 519, 1434, 2798, 827, 519, 1587, 3294, 888, 275, 269, 4530, 574, 11102, 1862, 3096, 28910, 547, 23596, 1587, 269, 901, 20964, 1587, 781, 9029, 543, 17258, 910, 4352, 2356, 267, 519, 1268, 568, 711, 11727, 547, 1118, 9794, 906, 269, 630, 9616, 281, 16499, 517, 10118, 666, 581, 1500, 676, 1268, 267, 3919, 610, 8313, 8094, 268, 7151, 281, 7812, 16888, 593, 670, 6951, 267, 6723, 5983, 2006, 1989, 1571, 267, 30486, 928, 18703, 9513, 4552, 20004, 267, 2797, 23596, 906, 563, 268, 5999, 547, 2307, 281, 5808, 610, 1018, 568, 20926, 538, 519, 16499, 11102, 286, 4208, 568, 713, 1268, 513, 22973, 267, 917, 1194, 326, 762, 4274, 286, 9453, 519, 16499, 11102, 267, 1018, 1281, 519, 1587, 2179, 547, 593, 922, 1378, 26350, 888, 276, 269, 30577, 11570, 1862, 616, 1175, 899, 596, 256, 4325, 5474, 18609, 5304, 602, 789, 267, 543, 741, 2093, 267, 616, 585, 519, 1455, 1268, 563, 268, 7151, 281, 4107, 2487, 27504, 723, 1044, 2929, 320, 2231, 267, 855, 957, 899, 8723, 4961, 269, 22735, 17696, 693, 31780, 781, 267, 17312, 29447, 269, 554, 730, 22282, 267, 31144, 2759, 3574, 269, 22735, 20324, 2313, 1412, 10844, 12286, 834, 26165, 10689, 257, 11401, 267, 27646, 3613, 641, 19150, 267, 30191, 834, 10585, 18560, 257, 11052, 269, 634, 1401, 1027, 12541, 5010, 338, 563, 268, 5999, 547, 2307, 281, 9453, 519, 7209, 267, 1018, 568, 519, 2856, 286, 1548, 1223, 519, 10584, 581, 3843, 547, 3382, 909, 609, 519, 10750, 11570, 1935 ]

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

[ 938, 1158, 269, 18972, 723, 10892, 543, 849, 7182, 269, 1656, 952, 1100, 3652, 616, 13057, 721, 538, 5329, 6302, 267, 945, 6487, 875, 519, 1158, 786, 581, 269, 1452, 6302, 616, 2877, 538, 13646, 267, 3506, 267, 13039, 267, 543, 10876, 3425, 2170, 609, 1142, 824, 269, 898, 568, 1898, 547, 1246, 891, 6302, 607, 789, 948, 721, 1332, 543, 2285, 1142, 3606, 4708, 540, 2247, 269, 13245, 6302, 616, 1018, 11225, 513, 1434, 2078, 543, 3395, 6125, 609, 824, 1004, 269, 21940, 2456, 1291, 547, 513, 4182, 781, 3652, 267, 543, 8840, 873, 568, 606, 25213, 602, 1223, 2244, 596, 538, 7890, 269, 23893, 1259, 267, 1169, 1268, 814, 513, 3970, 799, 15385, 789, 1223, 1118, 596, 6336, 741, 11505, 563, 1692, 547, 5590, 21940, 2456, 538, 513, 20556, 888, 30787, 2635, 6302, 568, 2565, 547, 8108, 513, 2635, 2078, 543, 4180, 513, 1447, 10565, 1272, 269, 1879, 972, 616, 1100, 6302, 267, 621, 10741, 4055, 585, 513, 2603, 540, 18086, 1919, 269, 1703, 616, 2168, 543, 3929, 6302, 269, 1656, 1142, 568, 16148, 547, 1169, 1268, 267, 543, 930, 1004, 2648, 547, 524, 3291, 548, 543, 10027, 880, 1857, 10525, 540, 15754, 1247, 1866, 1265, 621, 18086, 269, 17553, 6302, 3340, 602, 596, 917, 3054, 543, 1018, 596, 1616, 543, 1018, 596, 666, 1405, 20496, 269, 8758, 547, 8380, 3054, 1101, 1317, 596, 666, 1405, 948, 24455, 950, 596, 991, 948, 269, 1703, 616, 9748, 540, 6302, 547, 1305, 547, 723, 513, 2635, 2078, 609, 3025, 1472, 596, 267, 543, 930, 540, 873, 616, 454, 268, 17546, 3054, 547, 2161, 1100, 547, 8631, 596, 1810, 1405, 1616, 547, 798, 610, 1810, 1405, 723, 942, 547, 798, 282, 713, 1259, 267, 596, 786, 711, 14922, 873, 563, 268, 8307, 2161, 8786, 256, 1403, 596, 1745, 596, 666, 5838, 610, 1683, 6351, 1510, 1373, 7142, 610, 2604, 323, 563, 268, 6258, 547, 2161, 9684, 596, 1510, 1022, 17847, 267, 26845, 267, 610, 24178, 563, 268, 5213, 1405, 581, 1932, 8149, 547, 824, 1004, 781, 2729, 543, 2149, 707, 942, 543, 2230, 563, 268, 5213, 1405, 1745, 19849, 21724, 950, 6998, 585, 948, 610, 5583, 282, 649, 782, 991, 948, 563, 268, 28423, 909, 8164, 596, 1745, 2576, 568, 15385, 519, 1899, 610, 1102, 2590, 532, 707, 2924, 563, 268, 9523, 2123, 1344, 827, 1866, 609, 741, 9844, 607, 789, 1058, 609, 16523, 563, 268, 6875, 5539, 585, 707, 2962, 543, 23294, 1125, 950, 596, 18084, 513, 1899, 563, 1692, 547, 5590, 21940, 2456, 609, 7731, 16840, 888, 30787, 6302, 609, 1920, 2818, 267, 2523, 609, 16254, 267, 666, 581, 1950, 267, 855, 4388, 666, 948, 2226, 513, 2635, 2078, 609, 513, 1920, 4759, 269, 11408, 2322, 538, 2247, 602, 6302, 666, 581, 4957, 267, 543, 952, 596, 1745, 13943, 609, 707, 6302, 267, 621, 781, 942, 547, 1577, 873, 979, 269, 4658, 786, 1491, 942, 547, 4188, 547, 707, 1007, 3652, 267, 855, 707, 16254, 1522, 1491, 11014, 269, 3371, 616, 930, 4388, 454, 268, 7046, 16490, 281, 1930, 2792, 568, 519, 1883, 547, 513, 2635, 2078, 267, 543, 596, 723, 547, 5968, 609, 707, 1920, 2818, 827, 707, 1007, 3652, 269, 23883, 707, 16254, 267, 789, 2648, 1373, 1472, 596, 267, 543, 952, 596, 616, 10669, 1506, 1510, 10213, 873, 827, 707, 1007, 1305, 6302, 267, 789, 786, 1589, 596, 13842, 873, 269, 589, 29134, 24107, 1131, 1118, 621, 10782, 676, 7683, 8840, 1346, 6302, 269, 3680, 23292, 30925, 543, 1305, 519, 5870, 950, 789, 2479, 3025, 568, 1863, 563, 268, 2142, 4712, 547, 14207, 281, 707, 1007, 6302, 1522, 711, 979, 1524, 1134, 609, 707, 3237, 269, 1656, 865, 1279, 596, 2661, 609, 873, 267, 596, 723, 547, 14207, 543, 2743, 873, 28870, 563, 268, 3143, 568, 513, 2347, 4845, 602, 596, 12582, 1405, 581, 12922, 547, 946, 1472, 707, 1920, 2818, 2676, 268, 2142, 2386, 596, 616, 6899, 609, 707, 1007, 1305, 540, 3652, 563, 268, 5590, 4539, 585, 8840, 707, 6302, 267, 2523, 593, 707, 16254, 610, 30980, 563, 268, 2422, 1920, 2818, 945, 10027, 880, 543, 1871, 596, 547, 1305, 6302, 609, 519, 1964, 540, 519, 1920, 269, 5192, 707, 3237, 547, 4125, 543, 1118, 873, 1305, 707, 6302, 865, 707, 16254, 666, 2463, 873, 563, 268, 5213, 1405, 581, 10792, 609, 707, 6302, 267, 855, 581, 6109, 609, 621, 454, 268, 2142, 10853, 609, 707, 3652, 563, 1692, 547, 5590, 21940, 2456, 609, 2659, 14886, 888, 293, 12188, 1222, 568, 835, 540, 1346, 1919, 538, 713, 1158, 602, 3340, 6302, 269, 21940, 2456, 538, 17052, 948, 547, 1832, 519, 2078, 2635, 543, 2922, 269, 898, 2337, 3251, 3020, 547, 3054, 543, 707, 2828, 269, 20226, 723, 7000, 602, 11505, 1510, 7182, 3947, 4055, 585, 15280, 1145, 543, 23998, 267, 865, 1934, 616, 4388, 585, 513, 2635, 11505, 2078, 912, 268, 21727, 1142, 824, 781, 942, 281, 942, 568, 540, 1164, 1871, 543, 666, 1405, 581, 8719, 267, 865, 952, 707, 3659, 2306, 942, 585, 596, 267, 1810, 1405, 22599, 693, 519, 2063, 8792, 543, 13030, 17930, 269, 10025, 741, 942, 267, 543, 789, 1058, 1871, 16523, 563, 268, 674, 5285, 559, 1142, 824, 781, 2115, 281, 6499, 543, 2115, 616, 1079, 1114, 1919, 282, 1247, 6499, 666, 581, 20495, 267, 596, 786, 991, 873, 547, 581, 513, 24986, 13105, 269, 589, 3659, 602, 666, 1405, 581, 538, 707, 942, 540, 991, 3085, 1405, 2463, 707, 6302, 563, 268, 7490, 1810, 1405, 1450, 873, 547, 946, 596, 281, 1034, 2828, 1131, 1152, 3346, 596, 950, 789, 991, 596, 585, 741, 2640, 269, 1452, 616, 519, 2186, 540, 2828, 596, 723, 547, 2995, 602, 952, 789, 666, 1405, 1413, 856, 585, 596, 267, 596, 4465, 1405, 1413, 856, 585, 873, 269, 14886, 1222, 1058, 581, 7059, 267, 711, 476, 2004, 270, 2004, 855, 1100, 5428, 1058, 1745, 1031, 563, 268, 1548, 596, 2995, 873, 281, 1018, 513, 3659, 6487, 827, 596, 1797, 875, 2673, 596, 616, 543, 952, 789, 1810, 1405, 2995, 596, 3388, 602, 4523, 538, 741, 1272, 267, 2463, 741, 3375, 269, 1656, 3006, 267, 513, 3659, 1522, 1616, 547, 533, 787, 883, 707, 1272, 282, 596, 666, 31635, 2995, 873, 267, 834, 296, 6415, 5386, 267, 596, 1810, 1405, 991, 711, 5855, 1701, 2142, 9237, 543, 1577, 873, 917, 596, 1810, 1405, 1616, 547, 2911, 827, 621, 563, 14300, 540, 21940, 2456, 538, 513, 20556, 454, 289, 895, 2456, 666, 581, 3929, 610, 2168, 267, 543, 621, 781, 16148, 547, 1114, 1004, 269, 6201, 540, 1455, 2168, 543, 3929, 6302, 596, 1294, 538, 938, 2486, 1331, 912, 268, 594, 2648, 21098, 532, 543, 8066, 707, 3946, 855, 711, 538, 1857, 454, 268, 594, 6415, 6899, 609, 10004, 1154, 543, 1257, 532, 267, 855, 7125, 616, 711, 1250, 3364, 454, 268, 594, 1869, 991, 930, 942, 585, 8885, 454, 268, 594, 4782, 7836, 32300, 609, 1250, 1920, 454, 268, 21894, 594, 2995, 596, 568, 5921, 585, 596, 4805, 267, 4849, 594, 2161, 6382, 454, 268, 594, 993, 711, 4712, 585, 3023, 267, 855, 21098, 532, 543, 15700, 616, 5386, 676, 803, 563, 268, 1284, 666, 1246, 1142, 824, 593, 1514, 2923, 267, 855, 5225, 1810, 1405, 10004, 609, 803, 454, 268, 594, 1810, 1405, 899, 1373, 1376, 1194, 950, 594, 6415, 562, 6260, 454, 268, 594, 1810, 1405, 3226, 5660, 4687, 1250, 12899, 454, 268, 1411, 666, 946, 1250, 6049, 855, 1810, 1405, 1224, 1250, 6835, 454, 30787, 21940, 2456, 3842, 9442, 454, 31636, 568, 4105, 538, 1169, 2078, 267, 543, 6158, 827, 1142, 824, 781, 6302, 666, 948, 15185, 267, 2828, 267, 3885, 267, 610, 9164, 723, 513, 2635, 2078, 269, 5213, 1405, 8263, 789, 786, 917, 519, 6302, 1310, 6158, 609, 596, 585, 513, 3923, 269, 21940, 776, 3652, 616, 10347, 6927, 602, 991, 547, 581, 28078, 543, 666, 581, 2944, 8164, 596, 1616, 269, 1403, 596, 616, 12922, 602, 707, 6580, 7649, 1131, 2746, 547, 707, 6302, 267, 1287, 621, 781, 513, 9963, 1129, 602, 519, 2078, 1131, 581, 14432, 269, 5901, 606, 1930, 2247, 950, 14379, 609, 707, 7649, 610, 3659, 950, 7234, 707, 6302, 269, 898, 1522, 1491, 942, 547, 4188, 543, 3082, 547, 707, 3652, 543, 1577, 873, 917, 950, 789, 3444, 269, 28528, 2995, 873, 789, 723, 18084, 519, 1899, 267, 543, 789, 786, 3082, 952, 789, 5963, 1871, 596, 563, 30144, 543, 24768, 21940, 2456, 454, 30144, 6302, 616, 2966, 547, 1118, 835, 6126, 543, 1745, 2922, 543, 782, 519, 3063, 1434, 4606, 267, 1247, 14432, 6302, 1118, 596, 1745, 899, 596, 616, 538, 7890, 269, 1656, 621, 666, 979, 1312, 2081, 269, 901, 568, 1946, 2792, 543, 1373, 1930, 16490, 616, 1271, 950, 4259, 6302, 269, 898, 9327, 1405, 581, 8799, 952, 707, 7649, 6499, 596, 547, 2759, 1055, 707, 6587, 20967, 2828, 1317, 646, 610, 1352, 834, 529, 513, 23279, 1826, 1701, 4634, 1851, 824, 3347, 609, 2828, 543, 3885, 267, 835, 814, 547, 581, 6297, 609, 519, 6302, 789, 2097, 909, 609, 269, 21940, 2456, 616, 5921, 547, 1711, 513, 12560, 543, 2635, 2078, 282, 621, 568, 711, 5921, 547, 581, 10792, 610, 1118, 1776, 1268, 1745, 899, 596, 13842, 873, 563, 1692, 547, 8073, 13245, 21940, 2456, 454, 289, 895, 2456, 616, 1898, 585, 513, 12560, 543, 2635, 2078, 609, 1866, 269, 3509, 1004, 1810, 1405, 917, 875, 547, 1305, 2635, 6302, 267, 543, 789, 1439, 909, 2870, 10792, 6302, 602, 1118, 1004, 2196, 2476, 689, 873, 269, 13245, 6302, 2995, 596, 1018, 596, 666, 20496, 607, 513, 1268, 543, 2285, 596, 4708, 540, 2247, 269, 1452, 616, 4388, 593, 2870, 1434, 6302, 454, 268, 25506, 707, 3929, 267, 2790, 267, 2168, 267, 543, 5289, 7182, 543, 2328, 873, 1524, 269, 1452, 616, 1919, 602, 1118, 596, 1745, 13943, 610, 596, 666, 15991, 20496, 563, 268, 10576, 1018, 2306, 596, 1745, 32659, 543, 9636, 269, 6496, 513, 1268, 20818, 741, 2418, 593, 596, 286, 1656, 596, 1745, 899, 596, 666, 1405, 1832, 909, 609, 741, 20772, 563, 268, 2142, 1463, 609, 707, 6302, 267, 607, 930, 1004, 666, 723, 513, 2182, 942, 1620, 873, 269, 1411, 666, 581, 6596, 609, 707, 6580, 7649, 543, 2995, 1864, 17017, 602, 596, 991, 2230, 543, 942, 585, 3054, 563, 268, 21940, 2456, 616, 2352, 547, 1246, 267, 2523, 952, 596, 723, 547, 2161, 1100, 547, 513, 2673, 3659, 610, 1920, 4759, 585, 519, 1101, 942, 269, 1411, 1522, 1256, 16203, 827, 930, 6302, 585, 519, 1101, 942, 267, 855, 621, 568, 782, 827, 707, 1582, 9113, 1051, 563, 268, 6884, 596, 1522, 3111, 547, 2743, 909, 609, 707, 6302, 543, 1265, 3054, 8840, 707, 3652, 1510, 1256, 6616, 269, 1411, 666, 2141, 4188, 543, 2307, 1018, 596, 1705, 602, 2306, 596, 1745, 713, 1259, 888, 268, 16418, 1489, 689, 5646, 8688, 832, 267, 2828, 267, 1920, 2818, 610, 19393, 269, 17553, 6302, 568, 711, 513, 5728, 543, 12582, 1405, 581, 10792, 610, 22266, 585, 596, 547, 1246, 269, 13245, 6302, 1058, 581, 6653, 543, 2653, 547, 1246, 563, 268, 21940, 2456, 666, 581, 1950, 267, 2523, 950, 596, 616, 1007, 547, 873, 269, 18786, 1507, 666, 948, 596, 1628, 6015, 543, 30593, 618, 543, 1287, 1847, 909, 547, 1711, 811, 10665, 563, 289, 895, 2456, 15329, 725, 538, 17716, 454, 9824, 725, 4721, 616, 2653, 547, 2226, 952, 519, 6302, 616, 2312, 547, 1142, 5428, 269, 1809, 3006, 267, 649, 29875, 824, 1004, 781, 6302, 1510, 16734, 621, 269, 1656, 713, 666, 1291, 547, 3972, 2152, 610, 2566, 269, 1306, 513, 1268, 267, 649, 1590, 1174, 1018, 568, 3617, 585, 519, 3970, 1899, 269, 898, 568, 1455, 547, 29875, 6302, 649, 616, 23387, 540, 563, 14300, 540, 21940, 2456, 1411, 616, 711, 589, 2264, 1411, 616, 15329, 908, 454, 4322, 6302, 616, 865, 1455, 649, 3006, 1810, 1405, 8275, 649, 616, 8840, 873, 269, 1358, 1331, 454, 268, 7201, 2452, 532, 2576, 781, 10761, 281, 713, 568, 513, 24819, 10465, 1899, 602, 649, 3444, 1510, 1256, 6616, 269, 3509, 1185, 1100, 2856, 621, 729, 1256, 513, 10465, 269, 13560, 2452, 532, 707, 3659, 781, 10761, 568, 3423, 908, 741, 6302, 563, 268, 3502, 4758, 991, 2614, 2230, 281, 707, 3659, 267, 7649, 267, 610, 1920, 4759, 2115, 942, 585, 2933, 267, 543, 865, 798, 596, 1317, 649, 782, 991, 942, 547, 1332, 543, 1265, 6000, 563, 268, 4635, 610, 2921, 741, 8631, 1510, 10479, 281, 621, 3085, 1405, 2339, 875, 2673, 596 ]

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

[ 0, 1103, 519, 521, 22044, 839, 562, 343, 9781, 267, 16312, 8775, 4971, 946, 547, 1711, 513, 4183, 676, 16312, 24851, 513, 3296, 2059, 513, 6152, 269, 901, 5850, 594, 786, 3391, 875, 547, 1711, 476, 274, 291, 20017, 2203, 676, 16312, 8775, 4971, 563, 8489, 798, 594, 1265, 621, 888, 5804, 519, 10624, 263, 12749, 8473, 3046, 2567, 7696, 9847, 1374, 4183, 9847, 16312, 8775, 563, 5804, 519, 1753, 9184, 281, 3171, 1155, 1895, 9847, 1374, 4183, 6749, 16365, 9847, 16312, 8775, 563, 1692, 547, 1711, 476, 274, 291, 20017, 2203, 676, 16312, 8775, 4971, 888, 1607, 5850, 649, 616, 2469, 547, 1711, 476, 274, 291, 2203, 1739, 5373, 2630, 563, 272, 269, 1284, 786, 2721, 513, 17250, 593, 1535, 302, 344, 7077, 563, 12812, 9096, 11516, 4221, 547, 2347, 17250, 476, 272, 563, 273, 269, 4964, 2473, 689, 519, 13691, 267, 519, 16312, 8775, 13972, 786, 2408, 269, 769, 519, 12449, 6885, 267, 649, 786, 2824, 14258, 547, 16312, 8775, 269, 6987, 337, 8775, 609, 3845, 568, 476, 1556, 563, 12812, 15528, 547, 2347, 16312, 8775, 476, 272, 563, 274, 269, 3245, 519, 13691, 267, 2046, 2473, 7735, 563, 266, 769, 519, 1283, 8473, 3046, 267, 7455, 4341, 1592, 267, 2824, 2582, 7455, 543, 3247, 693, 10167, 4781, 563, 266, 769, 519, 12449, 6885, 267, 2824, 14258, 607, 4605, 2630, 563, 266, 8564, 16312, 8775, 3845, 568, 476, 5325, 630, 7825, 264, 538, 519, 7182, 1895, 563, 275, 269, 8571, 1007, 17250, 609, 10155, 2630, 563, 276, 269, 2422, 16312, 8775, 4971, 547, 1711, 1007, 3337, 607, 4605, 2630, 269, 769, 519, 7182, 1895, 267, 649, 786, 14764, 1376, 3845, 568, 476, 1015, 630, 7825, 1070, 1439, 3845, 568, 476, 1704, 630, 7825, 1916, 277, 269, 2422, 11604, 4183, 4971, 547, 1711, 1007, 3337, 563, 278, 269, 2422, 16312, 8775, 4971, 547, 1039, 1007, 3337, 593, 9781, 269, 769, 519, 7182, 1895, 267, 649, 786, 2824, 21136, 1871, 267, 1826, 476, 2190, 630, 7825, 264, 538, 519, 3845, 4216, 563, 279, 269, 12338, 513, 8559, 593, 9781, 676, 16312, 8775, 4971, 563, 280, 269, 12338, 513, 8559, 593, 519, 9781, 676, 16312, 8775, 10208, 4781, 563, 1015, 269, 8437, 15528, 547, 2347, 269, 0, 313, 773, 25632, 910, 10468, 1564, 523, 29543, 454, 8368, 540, 12937, 454, 313, 773, 25632, 1700, 10468, 1564, 523, 12962, 568, 513, 1826, 540, 3679, 1922, 770, 12962, 543, 621, 568, 3957, 1310, 519, 1147, 12849, 540, 1079, 4436, 7189, 945, 9168, 519, 12962, 269, 2290, 568, 519, 3566, 328, 6048, 30686, 2098, 773, 25632, 630, 6977, 280, 1700, 4572, 277, 264, 543, 824, 568, 519, 2619, 6048, 26179, 3026, 1564, 523, 630, 6977, 275, 1700, 6245, 279, 1040, 898, 729, 7620, 5189, 676, 6754, 661, 15590, 28727, 855, 1010, 12962, 729, 711, 2111, 547, 23309, 519, 3679, 1922, 770, 536, 659, 650, 328, 269, 898, 568, 1034, 4122, 1031, 547, 12962, 29901, 14385, 1756, 21061, 538, 513, 3099, 540, 15013, 899, 838, 583, 636, 267, 10729, 267, 10669, 267, 11483, 293, 267, 3092, 269, 4706, 1585, 14842, 568, 2139, 2687, 547, 519, 2470, 540, 4152, 17973, 269, 22731, 3679, 1922, 770, 12962, 585, 631, 269, 21061, 568, 849, 1572, 3905, 12962, 630, 16746, 547, 7311, 3002, 264, 1247, 585, 29901, 14385, 1756, 682, 335, 571, 324, 568, 1572, 4411, 12962, 2094, 621, 2115, 8022, 269, 6684, 585, 28969, 715, 18201, 807, 267, 522, 7514, 7370, 540, 9279, 322, 22941, 15495, 1776, 1826, 540, 14842, 568, 2877, 563, 32459, 2118, 540, 2098, 773, 25632, 910, 10468, 1564, 523, 29543, 454, 763, 4527, 540, 2362, 4568, 267, 9848, 1356, 565, 267, 9761, 3679, 267, 543, 2523, 1250, 3712, 545, 3679, 538, 519, 1591, 3774, 814, 1044, 1336, 519, 2932, 547, 5329, 519, 3679, 1922, 770, 3959, 540, 4551, 269, 901, 568, 519, 2601, 267, 519, 2098, 773, 25632, 9539, 324, 1564, 523, 12962, 630, 28425, 289, 12962, 264, 568, 3730, 585, 29901, 14385, 1756, 21061, 267, 606, 1696, 8344, 8665, 540, 21061, 269, 18729, 1922, 770, 3889, 1491, 3119, 12962, 11909, 610, 2699, 1247, 1875, 14092, 573, 3728, 3217, 4831, 12962, 4544, 630, 538, 2013, 540, 18861, 2940, 4544, 264, 610, 3039, 630, 538, 2013, 540, 4731, 778, 924, 3039, 1916, 320, 264, 3281, 895, 1769, 17209, 454, 321, 264, 1234, 698, 757, 543, 4837, 2264, 454, 268, 645, 684, 11420, 18723, 270, 8967, 761, 17689, 454, 268, 18514, 8520, 454, 268, 11162, 31294, 6954, 15942, 454, 268, 4460, 518, 4050, 270, 14776, 15513, 454, 268, 2961, 2513, 535, 1276, 7562, 630, 27146, 776, 12962, 994, 268, 476, 736, 260, 590, 17139, 584, 545, 3679, 610, 476, 274, 4939, 3679, 4568, 454, 268, 631, 26120, 4544, 630, 322, 3300, 12962, 610, 6281, 12962, 994, 1103, 519, 2013, 540, 3119, 21061, 454, 268, 838, 583, 636, 630, 1284, 1031, 713, 19494, 585, 28969, 607, 3254, 1657, 3239, 8094, 268, 19357, 658, 610, 561, 31099, 11067, 454, 268, 22050, 878, 20662, 720, 950, 838, 583, 636, 568, 15179, 539, 607, 538, 1453, 454, 1103, 2113, 10706, 21061, 454, 268, 5642, 20768, 454, 268, 20506, 23707, 454, 323, 264, 10866, 1852, 12490, 454, 268, 15474, 1852, 630, 15425, 2567, 29901, 14385, 1756, 21061, 454, 268, 20134, 6513, 630, 10998, 2567, 18521, 615, 747, 807, 19546, 454, 3682, 1027, 675, 540, 2098, 773, 25632, 910, 10468, 1564, 523, 29543, 454, 268, 16259, 1159, 792, 593, 513, 2973, 4837, 13472, 563, 268, 16959, 543, 4368, 519, 1159, 792, 563, 268, 24627, 519, 1159, 792, 609, 513, 3119, 12962, 267, 2178, 1286, 2513, 535, 1276, 7562, 3070, 563, 268, 14333, 519, 7041, 689, 18284, 519, 13472, 2394, 1175, 9252, 2501, 689, 519, 12962, 269, 5457, 268, 2710, 711, 14974, 563, 268, 27016, 585, 2947, 3764, 563, 268, 681, 20600, 609, 1216, 563, 268, 1546, 10233, 1125, 676, 476, 736, 260, 20962, 584, 545, 3679, 610, 476, 274, 260, 3679, 4568, 2394, 519, 1159, 792, 3587, 12779, 11909, 538, 2681, 269, 630, 342, 7159, 585, 5176, 2947, 3764, 994, 268, 681, 20600, 609, 1216, 563, 268, 15147, 519, 1159, 792, 609, 4831, 560, 664, 267, 18861, 2940, 4544, 585, 835, 8792, 563, 268, 681, 20600, 609, 1216, 563, 268, 667, 1778, 543, 3819, 563, 268, 10312, 519, 1159, 792, 1101, 896, 519, 1970, 1379, 630, 1015, 311, 264, 6662, 267, 543, 1287, 7747, 896, 519, 3282, 21599, 630, 1911, 311, 264, 6662, 540, 7623, 17209, 563, 4910, 738, 543, 28604, 454, 10907, 573, 16258, 645, 659, 650, 328, 630, 28425, 289, 2567, 11909, 610, 2699, 536, 26808, 454, 25889, 281, 9791, 630, 553, 4831, 560, 664, 1031, 12467, 2467, 616, 1585, 2081, 540, 8989, 1949, 585, 2098, 773, 25632, 9539, 324, 1564, 523, 28969, 4681, 971, 607, 519, 4741, 585, 8376, 6513, 543, 10644, 630, 24922, 1070, 519, 2622, 2657, 9257, 630, 21766, 1070, 543, 519, 4139, 5742, 18830, 16515, 828, 17533, 543, 25016, 8376, 630, 296, 308, 2969, 17162, 1040, 634, 1034, 1455, 543, 4922, 7608, 8760, 568, 594, 308, 2969, 17162, 543, 2687, 547, 621, 607, 5205, 563, 268, 3143, 11248, 2938, 281, 20134, 454, 268, 476, 272, 268, 280, 270, 1911, 744, 9281, 630, 11798, 21599, 2361, 2567, 1401, 716, 1297, 454, 268, 476, 1015, 268, 4200, 270, 1911, 744, 9281, 281, 1341, 630, 272, 266, 994, 268, 476, 272, 268, 1015, 23860, 9281, 2433, 1341, 266, 630, 273, 266, 994, 268, 476, 1015, 23860, 9281, 281, 1341, 10030, 630, 274, 266, 994, 268, 476, 276, 260, 20962, 584, 545, 3679, 568, 1031, 607, 513, 1232, 565, 528, 1944, 8665, 585, 28969, 29901, 14385, 1756, 682, 6768, 1247, 476, 272, 260, 20962, 584, 545, 3679, 3096, 607, 513, 1232, 565, 528, 1944, 8665, 585, 28969, 715, 18201, 807, 267, 15303, 30950, 29899, 267, 1772, 30950, 320, 522, 7514, 560, 563, 268, 918, 4176, 1735, 779, 14842, 540, 2098, 773, 25632, 9539, 324, 1564, 523, 568, 9053, 585, 28969, 9279, 322, 22941, 15495, 899, 15303, 30950, 29899, 267, 20676, 30950, 320, 267, 1772, 30950, 320, 522, 7514, 7370, 563, 268, 476, 271, 269, 1839, 260, 20962, 584, 545, 3679, 568, 4294, 607, 513, 1232, 565, 528, 1944, 8665, 585, 28969, 24032, 563, 268, 18729, 1922, 770, 9190, 1592, 3568, 29901, 14385, 1756, 21061, 267, 29901, 14385, 1756, 682, 6768, 267, 29901, 14385, 1756, 1159, 1122, 3901, 529, 267, 29901, 14385, 1756, 6830, 527, 636, 267, 715, 18201, 807, 30563, 267, 715, 18201, 807, 1490, 553, 8270, 18424, 267, 715, 18201, 807, 8883, 23706, 563, 268, 18729, 1922, 770, 2318, 15495, 616, 15303, 30950, 29899, 1612, 341, 636, 267, 20676, 30950, 320, 524, 599, 564, 534, 18424, 543, 1772, 30950, 320, 11350, 328, 563, 268, 674, 25193, 24032, 616, 849, 3679, 1922, 770, 2318, 563, 268, 590, 704, 3901, 9926, 10394, 2212, 568, 3679, 1922, 770, 2318, 563, 268, 634, 3498, 540, 513, 476, 274, 260, 3679, 4568, 2306, 29901, 14385, 1756, 1159, 1122, 3901, 529, 3679, 1922, 770, 2942, 1247, 476, 736, 260, 20962, 584, 545, 3679, 666, 1406, 798, 713, 269, 901, 568, 519, 2601, 267, 538, 513, 476, 2190, 3108, 10729, 3732, 513, 476, 274, 260, 3679, 4568, 1232, 565, 528, 6500, 568, 9053, 563, 268, 23531, 540, 18729, 6363, 770, 29543, 543, 1234, 26047, 616, 607, 5205, 8894, 268, 9978, 674, 1276, 7562, 281, 476, 271, 269, 274, 575, 332, 454, 268, 6599, 2643, 4568, 267, 4817, 260, 281, 476, 1015, 269, 271, 6447, 454, 268, 26263, 565, 281, 476, 276, 269, 271, 16720, 454, 268, 5940, 2683, 4826, 281, 476, 4817, 269, 271, 6447, 454, 10907, 573, 16258, 1546, 10233, 6500, 454, 268, 31527, 18608, 545, 3679, 13671, 281, 476, 274, 269, 271, 16720, 454, 268, 6599, 2643, 4568, 267, 4817, 260, 281, 476, 9032, 16720, 454, 300, 26120, 9791, 630, 299, 4141, 742, 2401, 779, 994, 268, 631, 26120, 9791, 281, 271, 269, 274, 575, 332, 454, 268, 6599, 2643, 4568, 267, 4817, 260, 281, 1789, 269, 271, 16720, 454, 268, 5940, 2683, 4826, 281, 1911, 269, 271, 6447, 454, 313, 773, 25632, 910, 10468, 1564, 523, 853, 7134, 3911, 792, 14272, 720, 14635, 454, 7069, 322, 14385, 1756, 682, 335, 571, 324, 536, 659, 650, 328, 538, 9168, 2098, 773, 25632, 9539, 324, 1564, 523, 630, 290, 1245, 12962, 264, 1793, 527, 2960, 1159, 792, 5843, 2675, 4878, 454, 306, 1584, 636, 538, 2098, 773, 25632, 9539, 324, 1564, 523, 26911, 1159, 792, 27109, 29901, 14385, 1756, 682, 335, 571, 324, 454, 10907, 573, 16258, 645, 659, 650, 328, 630, 28425, 289, 264, 540, 29901, 14385, 1756, 21061, 538, 2098, 773, 25632, 9539, 324, 1564, 523, 26911, 838, 583, 636, 1159, 792, 6029, 11909, 581, 12184, 267, 6094, 28795, 11425, 609, 28069, 17208, 454, 19617, 2730, 18729, 16258, 645, 659, 650, 328, 630, 274, 266, 264, 540, 29901, 14385, 1756, 21061, 538, 11916, 10410, 11948, 454, 5522, 4868, 540, 29901, 14385, 1756, 21061, 3679, 3728, 536, 659, 650, 328, 538, 2098, 773, 25632, 9539, 324, 1564, 523, 26911, 1159, 792, 540, 838, 583, 636, 5843, 2675, 4878, 454, 301, 18201, 807, 20503, 525, 538, 9168, 2098, 773, 25632, 9539, 324, 1564, 523, 26911, 1159, 792, 540, 4791, 19494, 5843, 2675, 4878, 454, 8002, 514, 3912, 806, 538, 2098, 773, 25632, 9539, 324, 1564, 523, 26911, 1159, 792, 6029, 3679, 3728, 2942, 454, 293, 2426, 639, 538, 18729, 16258, 853, 7134, 3911, 792, 6029, 14717, 770, 2281, 543, 29660, 1506, 874, 2801, 454, 290, 5670, 30950, 320, 524, 599, 564, 534, 18424, 538, 9168, 2098, 773, 25632, 9539, 324, 1564, 523, 26911, 1159, 792, 540, 28797, 454, 268, 13391, 13704, 1299, 8845, 779, 26616, 31814, 269, 3798, 6002, 281, 5975, 974, 344, 589, 269, 1280, 15816, 267, 12253, 674, 269, 19300, 332, 1299, 7705, 590, 269, 1284, 1170, 26709, 267, 476, 1321, 628, 1196, 476, 1220, 278, 267, 21629, 29021, 563, 268, 30930, 540, 26616, 31814, 269, 3798, 6002, 281, 1230, 22448, 681, 269, 10067, 517, 267, 18496, 717, 269, 2274, 327, 2006, 1299, 6723, 2494, 340, 1088, 529, 267, 476, 274, 6113, 7160, 1220, 278, 267, 21629, 29021, 563, 268, 11916, 31814, 26488, 18361, 12751, 538, 9375, 670, 6185, 269, 1772, 28086, 267, 15751, 18160, 5441, 540, 6925, 267, 1715, 3840, 267, 21629, 6789, 300, 630, 13563, 5980, 585, 31814, 1070, 6115, 9823, 563, 268, 15015, 540, 11916, 31814, 269, 3798, 6002, 281, 623, 10611, 269, 25371, 267, 661, 269, 808, 269, 31578, 267, 631, 269, 589, 269, 623, 6420, 518 ]

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

[ 539, 547, 2887, 1369, 519, 14345, 269, 595, 7506, 454, 1492, 1297, 540, 1489, 10321, 1031, 676, 519, 454, 1892, 634, 4130, 519, 1871, 540, 595, 267, 519, 811, 6213, 519, 5690, 454, 529, 547, 519, 2866, 1239, 630, 327, 27941, 13065, 543, 2539, 9186, 1916, 1892, 634, 3677, 519, 1871, 540, 595, 267, 519, 1447, 6213, 519, 5690, 568, 454, 1729, 519, 2866, 1239, 630, 12294, 13065, 543, 2362, 9186, 454, 1724, 269, 631, 8085, 12087, 299, 19798, 24639, 13048, 18306, 966, 17614, 3036, 454, 1892, 25789, 300, 3085, 1406, 1489, 24352, 20199, 8760, 454, 333, 8271, 269, 898, 7028, 9352, 8760, 543, 454, 29323, 908, 1239, 2798, 883, 1079, 5049, 563, 1892, 1280, 24352, 20199, 8760, 267, 519, 1482, 454, 1440, 4532, 2118, 568, 8246, 1310, 8840, 1524, 519, 454, 20123, 328, 8760, 1966, 883, 2789, 454, 321, 2435, 8760, 2042, 563, 1691, 269, 3040, 634, 2442, 2409, 799, 616, 1031, 547, 454, 704, 845, 3818, 11665, 2305, 593, 519, 1966, 454, 8063, 906, 1210, 25789, 300, 616, 607, 5205, 912, 1892, 2290, 5288, 2290, 630, 10976, 302, 264, 1935, 454, 1892, 2290, 5288, 2353, 630, 23701, 264, 1935, 454, 1892, 6034, 539, 589, 7094, 545, 8641, 630, 6395, 294, 264, 1935, 454, 1428, 269, 2290, 5288, 2290, 630, 10976, 302, 994, 1892, 901, 4480, 9397, 1524, 938, 24352, 20199, 454, 5035, 2305, 1966, 883, 1016, 2889, 21793, 799, 616, 454, 321, 2435, 8760, 2042, 269, 1924, 267, 1310, 713, 4640, 2676, 933, 1205, 9352, 1362, 13294, 829, 1142, 6292, 540, 5049, 269, 1280, 454, 325, 1400, 12605, 585, 1022, 3403, 946, 519, 1523, 454, 1993, 5354, 13359, 2059, 609, 519, 3845, 689, 519, 454, 332, 1173, 514, 607, 922, 6015, 21205, 563, 1892, 634, 2101, 1966, 609, 713, 1935, 568, 602, 649, 454, 17647, 547, 5721, 1932, 1082, 25789, 16039, 563, 1892, 769, 519, 2290, 3562, 268, 3080, 1935, 267, 649, 2119, 547, 1265, 519, 454, 30104, 30350, 602, 24508, 1063, 1169, 1079, 454, 5035, 525, 267, 10714, 532, 519, 2798, 540, 519, 3791, 1362, 454, 1626, 269, 3040, 1280, 1383, 267, 1934, 4414, 5174, 331, 826, 1899, 13290, 547, 454, 10946, 4476, 519, 9668, 1152, 1063, 4544, 454, 663, 2699, 2798, 1247, 898, 814, 4986, 547, 798, 609, 454, 1492, 3039, 2798, 563, 1704, 269, 2290, 5288, 2353, 630, 23701, 994, 1892, 769, 713, 4480, 547, 3589, 519, 3977, 585, 1007, 454, 6358, 267, 1175, 3589, 609, 1142, 540, 519, 1628, 25789, 16039, 454, 663, 1287, 1265, 799, 835, 12662, 519, 12605, 519, 454, 325, 691, 4554, 883, 519, 2318, 3148, 630, 2041, 327, 2314, 607, 513, 454, 20813, 2064, 21205, 585, 513, 1880, 25789, 300, 1916, 1892, 769, 519, 2290, 5288, 2353, 1935, 267, 649, 2119, 547, 1265, 513, 454, 30104, 30350, 547, 5094, 519, 5049, 269, 901, 1797, 454, 1492, 9668, 3217, 782, 2798, 883, 2272, 543, 454, 6533, 17337, 873, 883, 1079, 2516, 538, 799, 972, 454, 529, 513, 1895, 585, 519, 835, 1362, 2798, 543, 519, 824, 454, 16766, 585, 782, 824, 2798, 563, 1240, 269, 3040, 1280, 1383, 267, 1934, 519, 5682, 1467, 13290, 547, 454, 10946, 4476, 519, 7934, 1063, 3039, 2798, 543, 454, 718, 824, 2798, 693, 2899, 563, 866, 269, 3040, 589, 2582, 25789, 300, 1281, 9352, 8760, 543, 454, 4754, 16174, 1063, 1079, 5049, 269, 1924, 454, 3147, 1800, 547, 519, 1079, 1657, 4485, 267, 547, 454, 5035, 1518, 519, 1239, 2798, 689, 700, 5049, 1239, 1305, 563, 1892, 769, 519, 2290, 5288, 2353, 1935, 267, 519, 29976, 666, 454, 2224, 700, 25789, 16039, 563, 1892, 769, 519, 2290, 5288, 2290, 1935, 267, 519, 29976, 666, 454, 2224, 700, 27331, 268, 272, 8358, 273, 25789, 16039, 563, 736, 269, 6034, 539, 589, 7094, 545, 8641, 630, 6395, 294, 994, 1892, 901, 1935, 568, 811, 21712, 538, 2470, 454, 663, 621, 13290, 547, 9607, 519, 2042, 540, 519, 454, 3080, 5288, 2290, 543, 2290, 5288, 2353, 1935, 563, 1892, 901, 568, 513, 21370, 1935, 538, 799, 649, 454, 16766, 519, 5049, 1759, 593, 930, 9266, 454, 2641, 269, 12894, 299, 12114, 2752, 24639, 13048, 18306, 966, 17614, 3036, 454, 1892, 1879, 649, 3112, 5094, 1239, 609, 513, 2786, 454, 1467, 649, 946, 6348, 1107, 12430, 25789, 300, 563, 1892, 585, 799, 267, 649, 723, 918, 14533, 3252, 269, 1358, 454, 10520, 845, 1875, 31059, 5624, 883, 5276, 5624, 563, 1892, 898, 21810, 1239, 883, 1776, 10155, 865, 602, 454, 1492, 1239, 666, 581, 9286, 563, 1892, 898, 21810, 1079, 4632, 1535, 543, 586, 883, 1614, 454, 19702, 1963, 2059, 609, 1990, 269, 4475, 267, 519, 1239, 723, 454, 7120, 1540, 689, 476, 273, 5937, 2230, 547, 476, 274, 5937, 2230, 269, 1924, 649, 666, 454, 29342, 1176, 19665, 519, 1239, 676, 5373, 519, 1655, 454, 30104, 30350, 1063, 873, 563, 2537, 269, 918, 30204, 30600, 674, 7419, 290, 16739, 454, 1892, 898, 568, 513, 19556, 3252, 585, 13321, 454, 1892, 898, 3096, 930, 5276, 7223, 563, 298, 3287, 267, 586, 264, 815, 2999, 325, 3287, 1070, 535, 12169, 264, 11417, 1892, 7756, 25789, 300, 6620, 946, 1114, 2010, 454, 1993, 17830, 3252, 563, 2190, 269, 3040, 15316, 737, 1716, 1564, 2139, 616, 281, 8894, 272, 269, 12430, 17830, 454, 273, 269, 6348, 5276, 17830, 454, 274, 269, 7101, 658, 4493, 1599, 630, 305, 289, 293, 994, 1839, 269, 6673, 12195, 2975, 9569, 5508, 25789, 300, 5442, 11555, 3201, 20796, 17162, 454, 5278, 1455, 3156, 540, 25789, 300, 616, 8894, 1892, 8131, 7020, 454, 1892, 7956, 543, 5409, 3667, 11008, 1436, 454, 1892, 19032, 540, 2592, 454, 1892, 19871, 16784, 543, 6552, 4630, 1108, 7020, 454, 1892, 29986, 6284, 454, 1892, 4937, 1242, 16762, 1852, 31855, 15425, 264, 0, 4002, 4873, 476, 2764, 267, 1977, 2754, 9412, 564, 6997, 6707, 9250, 519, 5082, 1258, 15177, 8876, 8331, 781, 26480, 4306, 24535, 630, 290, 529, 331, 12762, 32534, 19024, 532, 3590, 5303, 15051, 543, 32522, 15331, 264, 16264, 28116, 25823, 883, 9855, 10739, 563, 290, 4338, 4306, 24535, 568, 513, 17196, 14089, 13355, 267, 476, 1839, 10275, 559, 6945, 9682, 602, 814, 24389, 593, 513, 1686, 6194, 3460, 547, 519, 9855, 267, 1141, 621, 786, 2263, 543, 1449, 513, 2189, 267, 14248, 18967, 673, 16264, 10739, 563, 763, 3483, 540, 519, 5692, 568, 547, 1353, 519, 14033, 7304, 624, 559, 710, 541, 670, 14900, 2107, 4226, 630, 24520, 9816, 264, 1107, 513, 10300, 334, 11057, 10739, 540, 519, 9855, 267, 799, 267, 2687, 547, 3744, 267, 1058, 1831, 513, 588, 1645, 1858, 585, 2417, 16264, 13485, 269, 8331, 4566, 547, 946, 713, 10739, 585, 519, 19835, 3118, 2282, 2000, 12762, 20771, 6728, 267, 606, 856, 14006, 602, 568, 851, 540, 8331, 781, 3203, 28087, 1982, 269, 4438, 519, 5692, 267, 26480, 4306, 24535, 786, 1449, 519, 1279, 3856, 6617, 540, 713, 10739, 563, 2005, 568, 4397, 602, 26480, 4306, 24535, 786, 3914, 922, 10278, 676, 10024, 519, 16264, 10739, 538, 2185, 3275, 543, 3251, 972, 585, 693, 2547, 3670, 3275, 269, 0, 292, 19223, 540, 3819, 7723, 6821, 454, 291, 787, 6149, 6821, 616, 3889, 602, 1683, 9249, 585, 1082, 2831, 543, 2371, 269, 1306, 812, 13402, 3615, 540, 519, 2686, 5251, 267, 799, 693, 519, 1482, 942, 1683, 9249, 585, 1082, 13155, 2249, 267, 3819, 6149, 6821, 1404, 606, 1271, 1909, 538, 519, 5726, 540, 9265, 269, 1306, 5276, 5251, 2609, 267, 789, 1118, 606, 1271, 9295, 547, 8733, 14479, 269, 634, 2640, 540, 3819, 6149, 6821, 585, 9265, 616, 3226, 1164, 950, 789, 2170, 609, 824, 5251, 2609, 602, 616, 1271, 585, 9265, 630, 1117, 2471, 267, 11315, 2250, 999, 267, 1216, 4703, 1040, 1879, 19620, 3819, 6149, 6821, 267, 2027, 3007, 1058, 581, 6976, 547, 519, 5726, 540, 824, 5251, 2609, 269, 0, 292, 2006, 322, 11692, 4303, 281, 18270, 908, 15213, 538, 4516, 630, 1001, 271, 270, 1708, 271, 994, 301, 520, 26474, 700, 269, 8361, 5937, 21779, 454, 10666, 519, 3883, 454, 2691, 519, 8574, 540, 519, 589, 2513, 819, 540, 26913, 2920, 267, 2500, 4864, 476, 272, 267, 476, 8146, 275, 267, 721, 22363, 538, 519, 1439, 540, 8474, 2429, 519, 3703, 7276, 267, 1004, 540, 3979, 16350, 9976, 741, 16012, 5191, 269, 3767, 3979, 12677, 535, 1872, 1438, 10437, 267, 1863, 3109, 11082, 267, 543, 519, 1906, 6967, 20665, 20338, 1223, 2661, 4652, 9116, 1229, 2729, 538, 4516, 1107, 513, 4641, 17709, 540, 11812, 563, 1607, 1007, 267, 1134, 3146, 572, 2117, 1117, 1433, 2488, 5813, 883, 519, 5137, 267, 1646, 267, 543, 4720, 540, 513, 3982, 3979, 4211, 534, 6598, 2245, 998, 10855, 3140, 6589, 543, 13267, 2592, 269, 634, 1514, 267, 2686, 267, 2797, 267, 543, 3872, 2853, 540, 661, 2006, 322, 11692, 4303, 7908, 8481, 2066, 4516, 616, 8268, 267, 609, 8561, 593, 14411, 267, 25429, 32108, 267, 1715, 19839, 1873, 1157, 267, 20563, 267, 543, 3703, 12052, 563, 301, 520, 26474, 8361, 5937, 21779, 568, 513, 4116, 267, 606, 3872, 6437, 22639, 267, 543, 513, 10584, 21751, 538, 519, 1646, 540, 1565, 2326, 602, 1445, 593, 519, 3979, 4144, 23159, 1995, 269, 8191, 540, 661, 2006, 322, 11692, 4303, 281, 18270, 908, 15213, 538, 4516, 267, 1352, 568, 849, 519, 2069, 11285, 585, 27915, 519, 932, 1622, 281, 10558, 532, 513, 1715, 21931, 540, 4516, 779, 10020, 538, 519, 26789, 21805, 267, 513, 1788, 540, 519, 4498, 28625, 31793, 2006, 4659, 693, 3840, 2160, 269, 2701, 568, 7022, 540, 519, 14411, 4563, 3778, 5980, 543, 7548, 540, 3979, 8225, 3778, 693, 3840, 2160, 563, 288, 7473, 295, 3036, 281, 8361, 5937, 21779, 267, 14844, 26474, 454, 303, 308, 13993, 23360, 2207, 281, 667, 1495, 1248, 4964, 454, 291, 12442, 5508, 29706, 13993, 2975, 9569, 281, 476, 1001, 271, 630, 3725, 14876, 476, 1708, 271, 994, 11073, 540, 6006, 0, 303, 23307, 6285, 666, 581, 5393, 27676, 267, 3056, 547, 4250, 543, 4160, 602, 1860, 513, 1268, 779, 3232, 1272, 269, 1809, 1018, 952, 972, 729, 606, 2500, 1259, 540, 8165, 11784, 6285, 1510, 519, 946, 540, 6646, 286, 9373, 9066, 1107, 513, 5553, 6040, 2259, 1031, 585, 11005, 543, 2566, 8323, 269, 3414, 519, 946, 540, 13533, 7244, 2553, 267, 1560, 18767, 267, 543, 11461, 11052, 267, 1082, 1004, 723, 1336, 602, 789, 616, 2111, 547, 2569, 741, 2589, 2404, 609, 11784, 6285, 563, 1103, 713, 2376, 649, 786, 2263, 875, 9066, 949, 948, 538, 5883, 610, 1256, 27955, 11784, 6285, 269, 1284, 786, 1865, 519, 2640, 540, 1210, 9066, 607, 1134, 607, 930, 4388, 593, 875, 1655, 547, 2259, 621, 865, 596, 666, 1376, 4743, 1732, 4166, 2336, 8133, 267, 9066, 666, 948, 538, 27955, 11784, 6285, 607, 621, 666, 948, 2569, 2589, 2404, 609, 873, 269, 25990, 10607, 5834, 543, 11009, 267, 799, 2337, 547, 1445, 593, 519, 1459, 4090, 3079, 540, 20468, 827, 519, 2104, 610, 15555, 3215, 593, 2250, 2621, 563, 7437, 2834, 2259, 540, 9066, 2553, 971, 607, 13533, 7244, 543, 11461, 11052, 267, 835, 666, 1427, 1778, 741, 2634, 547, 4431, 8335, 543, 5372, 4250, 11897, 1424, 4555, 609, 22196, 3283, 269, 3958, 267, 1199, 23550, 5781, 1223, 948, 1628, 3929, 6043, 936, 942, 799, 949, 2061, 11784, 6285, 689, 9648, 15587, 563, 1432, 616, 11784, 6285, 267, 741, 2589, 267, 543, 741, 3123, 888, 303, 23307, 6285, 616, 14501, 540, 7920, 4250, 610, 4160, 602, 666, 2097, 593, 10393, 543, 1419, 1510, 9963, 269, 1358, 666, 581, 1360, 31029, 543, 666, 2014, 2168, 2589, 971, 607, 513, 17040, 2295, 267, 9221, 1928, 267, 26032, 540, 7362, 267, 24852, 267, 1726, 3387, 1782, 610, 24373, 267, 4743, 25861, 610, 546, 714, 5414, 267, 15353, 610, 14159, 1928, 269, 1452, 4606, 540, 9810, 666, 2063, 585, 1896, 3764, 543, 616, 1419, 10483, 676, 606, 19450, 4250, 602, 1945, 1360, 3983, 568, 2469, 547, 4755, 563, 763, 3169, 2014, 540, 11784, 6285, 568, 711, 7357, 1634, 855, 789, 949, 581, 15427, 676, 1978, 2621, 610, 3871, 971, 607, 22125, 4025, 267, 2816, 11042, 610, 11400, 269, 4033, 3123, 949, 1331, 11976, 267, 2790, 1072, 2175, 899, 2022, 32034, 2566, 4524, 630, 303, 15056, 1070, 6219, 6057, 267, 5312, 2566, 610, 4160, 4713, 269, 769, 930, 2665, 267, 11784, 6285, 723, 1044, 5532, 547, 2242, 538, 519, 2634, 7998, 1813, 547, 6527, 610, 2168, 4576, 563, 303, 23307, 6285, 666, 581, 32049, 543, 1253, 7675, 585, 1346, 7092, 689, 873, 269, 1809, 972, 616, 2081, 547, 4383, 11784, 6285, 1210, 1114, 5574, 971, 607 ]

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

[ 1477, 258, 2254, 566, 543, 17016, 519, 1101, 12045, 540, 602, 9971, 269, 5897, 5814, 21267, 28272, 607, 12301, 1477, 5814, 11885, 607, 5286, 1477, 10823, 269, 5882, 269, 2224, 3488, 572, 629, 1941, 22554, 28186, 262, 10142, 5035, 27155, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 2608, 1723, 324, 13266, 8029, 1038, 5727, 6358, 14170, 1477, 1038, 5727, 1477, 1038, 1582, 11519, 1723, 324, 13266, 815, 1592, 263, 1723, 324, 13266, 3418, 24541, 825, 1219, 6449, 516, 1440, 9191, 1345, 8029, 1038, 2132, 834, 21691, 8662, 257, 1341, 1193, 6025, 340, 921, 4311, 11519, 1723, 324, 13266, 264, 10142, 825, 1219, 30775, 4311, 8029, 1038, 5727, 1607, 1599, 7125, 519, 6310, 6041, 1477, 2018, 540, 9971, 1599, 23228, 1038, 5727, 1477, 1038, 535, 13448, 6889, 834, 1477, 1038, 585, 524, 538, 1582, 11519, 1723, 324, 13266, 6769, 2018, 535, 13448, 266, 6889, 343, 1262, 24001, 834, 269, 8971, 6262, 3418, 1038, 2132, 535, 13448, 5897, 825, 1219, 1101, 318, 1457, 29719, 4311, 8029, 1038, 5727, 901, 1599, 21410, 519, 1101, 12045, 18851, 1477, 1038, 1582, 11519, 1457, 17300, 318, 1723, 27889, 815, 1496, 328, 268, 272, 585, 1775, 538, 1582, 11519, 1723, 324, 13266, 952, 1775, 256, 284, 271, 15947, 1038, 2132, 1582, 8807, 15635, 31476, 825, 1219, 1118, 318, 7120, 4311, 8029, 1038, 5727, 901, 1505, 1599, 786, 1118, 519, 4729, 540, 9971, 12045, 18851, 1477, 1038, 1582, 11519, 1998, 815, 1496, 15947, 1038, 1582, 11519, 323, 1998, 815, 1496, 15947, 1038, 1948, 6358, 1599, 1239, 1477, 1038, 585, 1775, 538, 5286, 7456, 1231, 10628, 8987, 1015, 267, 1015, 8029, 2018, 586, 284, 271, 1948, 12719, 1239, 2798, 593, 586, 14289, 585, 3403, 30775, 1477, 2018, 585, 795, 538, 1582, 11519, 1723, 324, 13266, 6769, 3546, 586, 23785, 328, 1262, 329, 1477, 2018, 1582, 11519, 1998, 6910, 12169, 3418, 1038, 1582, 11519, 1998, 815, 5286, 15126, 4311, 11519, 1998, 3418, 1038, 1948, 323, 969, 7007, 30775, 1239, 1477, 1038, 585, 1775, 538, 5286, 7456, 1231, 10628, 8987, 1015, 267, 1015, 8029, 2018, 586, 284, 271, 1948, 12719, 1239, 1448, 593, 586, 14289, 585, 8174, 730, 30775, 1477, 2018, 585, 795, 538, 1582, 11519, 1457, 17300, 318, 1723, 27889, 6769, 3546, 586, 23785, 328, 1262, 329, 1477, 2018, 1582, 11519, 323, 1998, 6910, 12169, 3418, 1038, 1582, 11519, 323, 1998, 815, 5286, 15126, 4311, 11519, 323, 1998, 3418, 1038, 4453, 815, 12301, 8807, 2682, 14052, 1038, 4949, 815, 12301, 269, 31320, 14052, 1038, 4949, 11859, 9471, 15630, 4671, 6506, 318, 6570, 3488, 321, 18847, 20298, 1038, 4949, 13885, 9471, 15630, 4671, 6506, 318, 6570, 3488, 3847, 20298, 1038, 1535, 284, 12639, 7456, 1231, 10628, 8987, 1015, 267, 1015, 3418, 1038, 1820, 3287, 17482, 3418, 1038, 4949, 19502, 3287, 267, 1582, 11519, 1998, 267, 2681, 8782, 1042, 3299, 6003, 8782, 19152, 9577, 20298, 1038, 4949, 19502, 3287, 267, 1582, 11519, 323, 1998, 267, 2681, 8782, 13582, 3299, 6003, 8782, 5575, 14216, 29719, 540, 3403, 1599, 20298, 1038, 4949, 4732, 335, 1149, 9131, 3847, 262, 4940, 3553, 318, 6570, 3488, 22487, 20298, 1038, 4949, 4732, 335, 1149, 9131, 321, 18847, 262, 4940, 3553, 318, 6570, 3488, 22487, 20298, 1038, 4949, 4732, 335, 1149, 9131, 9008, 262, 4940, 3553, 318, 6665, 1043, 263, 16178, 3418, 1038, 4949, 4732, 335, 1149, 9131, 2431, 262, 4940, 3553, 318, 6665, 1043, 263, 16178, 3418, 1038, 4949, 269, 5586, 754, 10857, 665, 8782, 21639, 2451, 20298, 1038, 12301, 20481, 14052, 17264, 5897, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 513, 815, 27155, 263, 275, 267, 274, 267, 273, 3418, 825, 1820, 5416, 3418, 825, 1820, 5416, 8807, 15635, 3890, 3418, 825, 1820, 5416, 8807, 1009, 318, 1457, 29719, 3890, 3418, 825, 1820, 5416, 6230, 820, 318, 7120, 3890, 10142, 0, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 1219, 12457, 24927, 4311, 267, 562, 281, 703, 264, 9847, 5903, 27776, 14158, 1038, 759, 267, 3063, 815, 1496, 271, 3910, 476, 272, 454, 1038, 585, 9041, 538, 2039, 3799, 2187, 2018, 512, 815, 7003, 263, 637, 994, 2018, 585, 795, 538, 2039, 6025, 268, 272, 267, 910, 272, 267, 910, 272, 2187, 3546, 759, 6910, 263, 637, 14728, 316, 1341, 3063, 994, 2018, 3063, 24177, 284, 476, 272, 454, 1038, 2132, 759, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1151, 340, 815, 8827, 4590, 825, 1820, 4433, 565, 340, 3052, 2001, 24927, 263, 271, 4917, 4449, 0, 5035, 3687, 1805, 871, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 8173, 1038, 3355, 1125, 707, 1239, 2497, 1934, 563, 1038, 8173, 1038, 1582, 6230, 25514, 815, 11713, 1038, 1582, 269, 2381, 815, 29129, 825, 1219, 7903, 4311, 267, 1535, 281, 703, 264, 9847, 7183, 912, 1038, 1582, 6230, 25514, 6910, 3287, 994, 1038, 952, 7003, 4311, 6230, 25514, 264, 2652, 476, 272, 912, 2018, 1582, 269, 2381, 6910, 3287, 994, 1038, 3116, 912, 2018, 1582, 269, 2381, 6910, 263, 2381, 4311, 269, 2381, 15631, 272, 3910, 1535, 11723, 825, 1219, 1402, 4311, 264, 9847, 7183, 912, 1038, 952, 7003, 4311, 6230, 25514, 264, 10922, 476, 271, 912, 2018, 2132, 454, 1038, 1582, 6230, 25514, 21014, 8987, 272, 994, 1038, 1582, 269, 2381, 21014, 8987, 272, 2020, 825, 1219, 1283, 4311, 264, 9847, 703, 912, 1038, 952, 7003, 4311, 6230, 25514, 264, 10922, 476, 271, 912, 2018, 2132, 7183, 454, 1038, 2132, 1582, 6230, 25514, 15631, 272, 6540, 825, 1219, 1205, 14737, 4311, 264, 9847, 703, 912, 1038, 952, 7003, 4311, 6230, 25514, 264, 10922, 476, 271, 912, 2018, 2132, 7183, 454, 1038, 2132, 1582, 269, 2381, 15631, 272, 6540, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 2659, 3687, 1805, 871, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 825, 1535, 815, 476, 274, 454, 825, 10518, 815, 3687, 1805, 871, 4590, 825, 10518, 4877, 2313, 8987, 273, 994, 825, 10518, 4877, 2313, 263, 271, 994, 825, 10518, 4877, 2313, 8987, 274, 994, 825, 1820, 263, 23637, 10947, 14737, 15405, 825, 10518, 21014, 4590, 825, 1820, 263, 23637, 6745, 641, 15405, 825, 1820, 263, 23637, 10947, 14737, 15405, 0, 5228, 1187, 551, 8962, 1104, 2569, 7531, 5035, 8827, 24998, 2187, 825, 1219, 2262, 17954, 752, 4311, 267, 521, 267, 2262, 291, 1112, 2187, 1038, 8173, 1038, 2433, 6943, 521, 281, 1193, 454, 1038, 2433, 6943, 2262, 291, 1112, 281, 5903, 314, 1598, 2639, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 1582, 4732, 815, 521, 454, 1038, 1582, 269, 5320, 291, 1112, 815, 2262, 291, 1112, 454, 1038, 1948, 2132, 1582, 18622, 15479, 633, 263, 271, 267, 7003, 4311, 4732, 4917, 1038, 2132, 1582, 269, 28375, 10797, 825, 1219, 25276, 4311, 267, 1376, 267, 1439, 2187, 1038, 952, 1582, 4732, 314, 11034, 281, 1439, 316, 538, 1582, 269, 5320, 291, 1112, 912, 2018, 2132, 6936, 454, 1038, 585, 1775, 538, 2039, 263, 11034, 266, 272, 267, 1439, 2187, 2018, 952, 1582, 4732, 314, 11034, 281, 1775, 316, 538, 1582, 269, 5320, 291, 1112, 912, 3546, 759, 815, 1582, 18622, 15479, 633, 9217, 267, 1439, 994, 3546, 952, 759, 912, 7386, 2132, 6936, 454, 1038, 2132, 8771, 692, 825, 1219, 21767, 4311, 2187, 1038, 31185, 815, 1496, 12148, 585, 9041, 538, 2039, 12759, 4311, 4732, 11924, 272, 22708, 1038, 585, 1775, 538, 2039, 12759, 4311, 4732, 9984, 272, 267, 910, 272, 267, 910, 272, 2187, 2018, 512, 815, 1496, 1345, 4732, 5157, 281, 329, 316, 538, 1582, 269, 5320, 291, 1112, 543, 31185, 14728, 316, 585, 795, 538, 2039, 9217, 266, 272, 267, 7003, 4311, 4732, 11924, 272, 22708, 2018, 31185, 5157, 316, 815, 2569, 10857, 10033, 1535, 267, 586, 281, 1535, 610, 586, 267, 512, 994, 1038, 2132, 31185, 314, 271, 6540, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1151, 340, 815, 8827, 4590, 825, 521, 815, 1412, 548, 564, 13892, 7055, 825, 2262, 291, 1112, 815, 18358, 548, 564, 3299, 1412, 13892, 23300, 825, 1820, 4433, 565, 340, 269, 5320, 17954, 752, 4433, 267, 2262, 291, 1112, 4917, 0, 5228, 17511, 1104, 5903, 692, 5035, 8827, 912, 825, 1219, 1985, 303, 1069, 16615, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 7183, 912, 1038, 8173, 1038, 1684, 711, 2132, 4376, 267, 12189, 15358, 538, 268, 2897, 3079, 563, 1038, 8173, 1038, 1775, 815, 7003, 25225, 264, 910, 476, 272, 454, 1038, 1247, 1775, 3436, 476, 271, 912, 2018, 952, 15358, 5157, 316, 3436, 15358, 5157, 268, 272, 14158, 3546, 10917, 815, 15358, 5157, 268, 272, 2639, 3546, 585, 795, 538, 2039, 12759, 25225, 9984, 272, 267, 1775, 268, 272, 267, 910, 272, 2187, 7386, 952, 15358, 14728, 316, 3436, 10917, 912, 13376, 15358, 5157, 268, 272, 316, 815, 15358, 14728, 2639, 13376, 15358, 14728, 316, 815, 10917, 454, 13376, 1582, 18622, 2091, 25225, 267, 1775, 267, 7003, 25225, 9984, 272, 994, 13376, 2736, 454, 3546, 2736, 454, 2018, 1775, 20699, 476, 272, 454, 1038, 952, 1775, 2652, 476, 271, 912, 2018, 1582, 18622, 2091, 25225, 267, 476, 271, 267, 7003, 25225, 9984, 272, 2020, 825, 1219, 9258, 4311, 267, 15358, 267, 521, 267, 552, 2187, 1038, 1247, 521, 2999, 552, 912, 2018, 10917, 815, 15358, 314, 338, 2639, 2018, 15358, 314, 338, 316, 815, 15358, 314, 324, 2639, 2018, 15358, 314, 324, 316, 815, 10917, 454, 2018, 521, 6834, 476, 272, 454, 2018, 552, 20699, 476, 272, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 815, 8827, 4590, 825, 15358, 815, 1496, 274, 267, 273, 267, 272, 2639, 825, 521, 12785, 303, 1069, 16615, 25225, 994, 825, 1820, 25225, 264, 0, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 5035, 5903, 11966, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 12785, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 9258, 298, 27026, 4311, 267, 2212, 281, 5903, 11966, 267, 737, 281, 703, 264, 9847, 5903, 11966, 912, 1038, 952, 737, 2652, 476, 272, 912, 2018, 2132, 2212, 454, 1038, 759, 815, 5903, 11966, 263, 14085, 994, 1038, 759, 815, 2212, 454, 1038, 31452, 815, 11713, 1038, 585, 1775, 538, 2039, 17347, 266, 272, 2187, 2018, 533, 815, 759, 454, 2018, 31452, 6910, 9638, 994, 1038, 936, 815, 8771, 454, 1038, 1247, 6936, 912, 2018, 585, 1775, 538, 2039, 263, 272, 267, 737, 266, 272, 2187, 3546, 952, 31452, 5157, 268, 272, 4940, 10113, 568, 7183, 912, 7386, 936, 815, 6936, 454, 7386, 2736, 454, 3546, 31452, 5157, 316, 815, 31452, 5157, 268, 272, 4940, 10113, 454, 2018, 952, 936, 912, 3546, 2736, 454, 2018, 31452, 314, 271, 4940, 10113, 815, 31452, 25208, 4940, 10113, 454, 2018, 31452, 314, 272, 4940, 10113, 815, 31452, 25208, 2639, 2018, 585, 1775, 538, 2039, 17347, 267, 476, 272, 267, 910, 272, 2187, 3546, 31452, 5157, 4940, 10113, 815, 31452, 5157, 268, 272, 2639, 1038, 2132, 759, 12785, 0, 5035, 8827, 912, 825, 1219, 18214, 1805, 4202, 4311, 267, 562, 281, 703, 264, 9847, 703, 912, 1038, 1948, 2132, 1582, 18622, 15479, 633, 3799, 994, 1038, 2132, 1582, 269, 28375, 3799, 2020, 825, 1219, 25276, 4311, 267, 562, 2187, 1038, 952, 562, 2652, 476, 272, 912, 2018, 2132, 476, 272, 454, 1038, 952, 562, 2652, 476, 273, 912, 2018, 2132, 476, 273, 454, 1038, 2132, 1582, 18622, 15479, 633, 3799, 268, 272, 264, 1341, 1582, 18622, 15479, 633, 3799, 268, 273, 2020, 825, 1219, 21767, 4311, 267, 562, 2187, 1038, 952, 562, 2652, 476, 272, 912, 2018, 2132, 476, 272, 454, 1038, 952, 562, 2652, 476, 273, 912, 2018, 2132, 476, 273, 454, 1038, 1904, 815, 1496, 271, 585, 9041, 538, 2039, 3799, 266, 272, 22708, 1038, 1904, 314, 272, 316, 815, 476, 272, 454, 1038, 1904, 314, 273, 316, 815, 476, 273, 454, 1038, 1775, 815, 476, 274, 454, 1038, 1247, 1775, 10922, 562, 912, 2018, 1904, 5157, 316, 815, 1904, 5157, 268, 272, 316, 1341, 1904, 5157, 268, 273, 2639, 2018, 1775, 6834, 476, 272, 454, 1038, 2132, 1904, 19559, 6540, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 521, 815, 8827, 4590, 825, 562, 815, 476, 274, 454, 825, 1820, 4433, 17085, 12494, 1805, 4202, 3799, 4297 ]

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

[ 910, 476, 2735, 273, 454, 268, 715, 19130, 15879, 476, 3707, 278, 910, 476, 1001, 271, 454, 268, 808, 19130, 15879, 476, 1960, 275, 910, 476, 1220, 279, 454, 268, 20844, 681, 19130, 15879, 476, 4572, 276, 910, 476, 1220, 280, 454, 268, 681, 19130, 15879, 476, 4350, 273, 910, 476, 1960, 274, 454, 268, 717, 1551, 808, 19130, 15879, 476, 4198, 280, 910, 476, 2735, 279, 454, 268, 645, 19130, 15879, 476, 4350, 277, 910, 476, 1960, 276, 454, 268, 19468, 19130, 15879, 476, 4489, 273, 910, 476, 1960, 280, 454, 268, 631, 19130, 15879, 476, 3422, 279, 910, 476, 1220, 277, 454, 268, 590, 19130, 15879, 476, 1220, 277, 910, 476, 1220, 278, 0, 1432, 781, 519, 3883, 540, 2098, 788, 7315, 11672, 2353, 6168, 888, 8005, 654, 4710, 519, 3883, 540, 13744, 1695, 543, 1548, 781, 922, 20828, 888, 1432, 6496, 834, 1492, 22900, 257, 538, 31694, 476, 1321, 11724, 888, 763, 476, 1556, 628, 3923, 540, 519, 6014, 1032, 630, 313, 3663, 7559, 327, 476, 272, 281, 278, 1070, 7222, 547, 5988, 563, 7775, 337, 267, 6276, 267, 631, 6993, 1421, 667, 6185, 269, 4937, 15503, 269, 834, 22209, 787, 585, 1412, 306, 4047, 289, 2969, 262, 2668, 834, 17220, 9208, 6426, 15610, 2668, 476, 4489, 276, 269 ]

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

[ 0, 11321, 580, 1245, 281, 1215, 547, 1332, 693, 1753, 888, 11321, 580, 1245, 5810, 616, 835, 540, 519, 1034, 2442, 2249, 540, 5993, 9428, 10838, 22254, 689, 1169, 5032, 269, 1656, 1946, 12582, 1406, 789, 581, 286, 4256, 28480, 1974, 568, 3833, 1279, 7132, 741, 7524, 24698, 540, 5835, 267, 15309, 267, 543, 10538, 1118, 835, 540, 519, 1655, 23937, 547, 707, 10651, 267, 30504, 267, 610, 17428, 269, 1411, 666, 2141, 4603, 609, 873, 676, 4946, 2261, 580, 1245, 2371, 547, 519, 10665, 585, 7393, 519, 1413, 540, 707, 18147, 269, 3057, 580, 1245, 791, 11301, 606, 24710, 602, 814, 513, 2631, 540, 838, 545, 1465, 543, 17216, 3947, 513, 10943, 1662, 540, 2681, 547, 707, 4677, 2429, 519, 4832, 563, 29995, 267, 2261, 580, 1245, 5810, 616, 3833, 27031, 547, 3309, 4365, 543, 3037, 2175, 267, 855, 789, 16036, 741, 1655, 538, 3002, 269, 1411, 786, 1265, 1082, 2010, 540, 2261, 580, 9529, 8151, 689, 9910, 2137, 547, 9649, 8747, 543, 789, 616, 835, 540, 519, 1655, 5521, 28084, 757, 269, 9747, 267, 666, 581, 6738, 609, 707, 5388, 543, 5613, 547, 1832, 519, 12961, 2476, 269, 1809, 1169, 2030, 610, 8768, 7569, 930, 1808, 2175, 585, 2407, 1922, 1194, 3022, 2208, 269, 3371, 649, 723, 2322, 909, 513, 3391, 547, 1491, 596, 1524, 519, 26738, 540, 519, 2261, 580, 1245, 2030, 538, 519, 30810, 269, 5620, 513, 1413, 2336, 763, 1585, 2010, 540, 2261, 580, 9529, 454, 1607, 3099, 540, 2261, 580, 1245, 18742, 1134, 538, 4832, 543, 2887, 543, 1317, 540, 922, 18569, 1465, 267, 891, 666, 849, 581, 6738, 538, 513, 8708, 16280, 269, 589, 2837, 4336, 540, 476, 3583, 910, 4037, 5232, 18278, 568, 4998, 585, 2261, 580, 1245, 8768, 5452, 547, 1332, 269, 2991, 9544, 2261, 580, 1245, 5452, 267, 596, 666, 5544, 519, 17708, 1154, 1369, 513, 3018, 267, 855, 596, 991, 547, 581, 6297, 540, 22404, 267, 25658, 267, 543, 824, 10130, 602, 666, 2490, 856, 547, 581, 3833, 5906, 585, 519, 2030, 269, 3943, 2261, 580, 9529, 849, 723, 1114, 2010, 899, 912, 268, 12844, 24521, 3057, 580, 9529, 616, 519, 1826, 540, 3943, 2261, 580, 9529, 799, 616, 3592, 476, 279, 547, 476, 1015, 6279, 538, 4463, 269, 634, 5810, 2408, 538, 519, 18707, 540, 10538, 267, 2261, 3019, 267, 610, 5835, 543, 616, 15983, 3750, 17711, 563, 268, 3967, 773, 2261, 580, 9529, 616, 513, 3099, 602, 786, 18613, 513, 2603, 547, 5595, 1286, 333, 725, 269, 634, 3328, 4463, 585, 891, 2261, 580, 1245, 2371, 568, 476, 279, 6279, 543, 519, 5810, 616, 538, 519, 24698, 540, 10538, 267, 2261, 3019, 267, 543, 5835, 269, 1452, 616, 1655, 585, 3908, 5624, 563, 268, 9741, 5869, 2261, 580, 9529, 616, 835, 540, 519, 21221, 8677, 540, 2261, 580, 1245, 609, 513, 4463, 2039, 540, 476, 277, 547, 476, 279, 6279, 267, 855, 621, 849, 814, 5810, 602, 616, 538, 2147, 18707, 607, 602, 540, 13755, 24521, 543, 3967, 773, 2261, 580, 9529, 563, 3080, 20614, 540, 713, 2186, 540, 2261, 580, 9529, 568, 602, 789, 616, 17580, 267, 543, 1004, 1419, 946, 891, 5810, 547, 1039, 29284, 547, 741, 25235, 269, 634, 1129, 564, 2261, 580, 9529, 786, 1332, 1134, 538, 707, 8912, 4677, 607, 1134, 607, 519, 10786, 4677, 269, 6178, 564, 2261, 580, 9529, 1058, 581, 6854, 538, 2407, 3141, 543, 950, 596, 24440, 873, 267, 596, 666, 1265, 9748, 540, 2081, 547, 946, 873, 538, 1585, 10346, 269, 634, 3037, 2175, 585, 713, 2030, 1058, 581, 5848, 855, 1373, 15417, 568, 711, 513, 23626, 1317, 621, 666, 1291, 547, 513, 4617, 2497, 540, 519, 2030, 269, 2368, 5810, 540, 713, 2261, 580, 1245, 666, 581, 2261, 3019, 538, 2681, 609, 741, 9133, 1373, 5835, 1634, 607, 519, 13099, 27996, 17576, 2261, 580, 1245, 269, 769, 2013, 519, 3037, 1743, 625, 909, 267, 596, 1058, 1216, 267, 543, 9427, 519, 6170, 5810, 786, 1118, 519, 2208, 1184, 563, 763, 16036, 540, 713, 2030, 568, 3833, 1804, 267, 543, 621, 568, 2442, 569, 1634, 607, 25069, 322, 610, 1977, 3057, 580, 1245, 269, 901, 2460, 2306, 873, 4998, 585, 23598, 267, 8768, 12417, 267, 543, 536, 537, 638, 1115, 269, 5381, 547, 824, 8677, 540, 2261, 580, 1245, 267, 891, 849, 18742, 4628, 538, 13566, 2127, 269, 12292, 899, 17544, 543, 13650, 799, 666, 2800, 519, 4677, 616, 6854, 693, 15922, 1317, 540, 519, 2178, 9329, 269, 769, 6476, 547, 3943, 2261, 580, 9529, 267, 891, 5810, 616, 811, 5827, 540, 609, 9227, 3819, 4365, 2175, 269, 4746, 267, 519, 2601, 1946, 891, 1205, 741, 2012, 607, 25069, 322, 568, 602, 2899, 519, 25069, 14369, 1500, 946, 540, 891, 2261, 580, 9529, 607, 513, 5835, 20004, 267, 585, 16392, 3096, 267, 543, 23598, 563, 2026, 519, 2012, 5267, 267, 891, 2261, 580, 9529, 616, 513, 31832, 20108, 540, 1977, 543, 3943, 2261, 580, 9529, 269, 634, 5810, 3812, 676, 891, 2371, 616, 3833, 1804, 543, 666, 1332, 538, 3665, 4365, 2175, 607, 1134, 269, 9282, 891, 666, 6023, 9157, 4365, 2175, 267, 789, 1810, 1405, 991, 547, 581, 2653, 547, 1332, 1932, 269, 634, 23286, 540, 891, 2261, 580, 1245, 2371, 568, 1970, 8754, 267, 621, 1223, 581, 513, 4161, 547, 1332, 873, 855, 950, 519, 2596, 2175, 616, 1558, 267, 789, 849, 1332, 4628, 899, 824, 2261, 580, 9529, 563, 31590, 30666, 29528, 616, 1419, 5219, 547, 607, 544, 2544, 2261, 580, 9529, 1317, 789, 616, 8572, 547, 16196, 269, 2353, 596, 723, 547, 798, 568, 1491, 1416, 540, 519, 31452, 602, 2097, 609, 519, 2030, 269, 2290, 540, 519, 1292, 5383, 540, 2468, 30666, 29528, 568, 602, 789, 3132, 18742, 585, 513, 1279, 942, 1317, 789, 5749, 1406, 10351, 3215, 519, 5452, 607, 789, 1332, 563, 24400, 513, 2030, 585, 2175, 899, 3819, 267, 2842, 344, 267, 543, 519, 3905, 2916, 3587, 18447, 1317, 693, 2053, 1256, 519, 1655, 3646, 676, 519, 32529, 6961, 547, 581, 13777, 850, 269, 1403, 596, 2661, 538, 971, 2175, 267, 2119, 3395, 9390, 2261, 580, 9529, 607, 891, 2261, 580, 1245, 2371, 616, 1634, 547, 581, 9157, 15000, 269, 634, 3621, 2012, 585, 891, 5810, 568, 13391, 850, 5984, 11638, 2784, 328, 1092, 543, 621, 568, 2442, 569, 1572, 1957, 546, 24387, 1317, 922, 9921, 5810, 723, 513, 9403, 2147, 547, 1957, 269, 15394, 267, 891, 666, 1332, 909, 547, 513, 3723, 538, 4463, 609, 5458, 5835, 18742, 543, 513, 2603, 540, 5452, 269, 589, 1906, 540, 873, 602, 616, 544, 2432, 543, 804, 18804, 540, 546, 24387, 8768, 666, 581, 540, 10156, 4463, 269, 634, 1272, 12732, 568, 2110, 267, 543, 789, 616, 10786, 17675, 17506, 10118, 602, 2132, 1310, 513, 1032, 269, 1452, 798, 711, 2154, 1454, 1416, 607, 789, 616, 519, 27162, 4554, 3283, 540, 519, 2261, 580, 9529, 563, 5472, 602, 596, 991, 547, 917, 827, 16276, 2261, 580, 1245, 5452, 454, 11321, 580, 9529, 616, 835, 540, 519, 13416, 18742, 1336, 538, 1082, 10651, 1317, 789, 616, 2653, 547, 1491, 1416, 540, 543, 1332, 1210, 2261, 580, 1245, 5452, 269, 1403, 596, 616, 3222, 540, 9494, 891, 5452, 267, 596, 786, 711, 723, 547, 4444, 513, 1007, 1094, 7204, 1169, 4005, 269, 4746, 267, 952, 596, 723, 2789, 21322, 4154, 8768, 2371, 267, 596, 666, 5965, 930, 21168, 540, 2261, 580, 1245, 8768, 5452, 543, 946, 873, 607, 513, 10317, 1154, 4781, 269, 4595, 2261, 580, 1245, 2371, 616, 513, 10316, 2249, 267, 519, 3395, 2030, 786, 581, 2147, 547, 835, 540, 519, 2385, 2371, 269, 3371, 779, 1018, 596, 991, 547, 1491, 1416, 540, 1247, 9494, 2261, 580, 1245, 8768, 5452, 563, 268, 5269, 2386, 602, 519, 2261, 580, 1245, 5452, 723, 12015, 856, 1354, 16276, 269, 1411, 1058, 7227, 11489, 519, 6079, 10540, 7140, 6960, 689, 519, 5377, 855, 1058, 723, 930, 3039, 27280, 6967, 693, 519, 9803, 1377, 269, 1280, 16276, 267, 596, 991, 547, 5094, 519, 2261, 580, 1245, 5229, 689, 519, 6565, 563, 268, 7046, 519, 6569, 6079, 10540, 543, 1205, 513, 1957, 24621, 13561, 269, 15579, 519, 3490, 540, 519, 10540, 543, 5094, 519, 3762, 543, 5452, 689, 621, 269, 1411, 786, 723, 519, 5452, 7923, 547, 519, 3490, 543, 596, 1832, 873, 9108, 593, 519, 1957, 24621, 563, 268, 634, 5452, 616, 6094, 543, 1279, 609, 835, 1439, 1373, 18632, 538, 2681, 543, 519, 824, 1373, 14402, 269, 2913, 519, 5452, 3819, 4625, 593, 519, 1957, 543, 798, 711, 3382, 873, 1317, 713, 786, 948, 538, 8497, 873, 267, 865, 789, 1810, 1406, 2490, 3983, 538, 4859, 563, 268, 5901, 707, 2261, 580, 1245, 5452, 538, 513, 1957, 23508, 543, 2057, 1210, 4874, 321, 4711, 607, 713, 666, 2014, 7509, 547, 1205, 538, 5452, 269, 1411, 666, 946, 891, 5452, 538, 519, 5614, 799, 2501, 8521, 1310, 519, 15470, 1282, 799, 519, 5452, 941, 12873, 563, 1432, 827, 519, 2261, 580, 1245, 18742, 888, 11321, 580, 1245, 8768, 3507, 919, 7509, 543, 3636, 4365, 2175, 269, 634, 2208, 5956, 693, 513, 2837, 540, 476, 2420, 5232, 17622, 543, 5170, 11489, 476, 3374, 5232, 17622, 269, 15394, 267, 519, 2261, 580, 1245, 5810, 1376, 17729, 693, 519, 1439, 540, 5412, 543, 3136, 547, 1332, 11489, 15292, 1439, 267, 855, 519, 1034, 7298, 2208, 568, 689, 5988, 547, 519, 1439, 540, 4728, 269, 634, 2063, 16036, 3788, 11489, 519, 1439, 540, 15489, 543, 519, 4098, 540, 15470, 269, 769, 2013, 596, 723, 11255, 2261, 580, 1245, 5810, 267, 789, 786, 3136, 547, 1332, 1256, 952, 519, 2837, 3544, 4422, 3564, 741, 28480, 2175, 563, 11321, 580, 9529, 2648, 519, 5614, 4005, 799, 568, 538, 1063, 5130, 547, 4728, 538, 1034, 540, 519, 2477, 269, 1411, 666, 1332, 2261, 580, 1245, 538, 3592, 1169, 851, 540, 519, 1158, 267, 855, 596, 786, 723, 547, 7227, 585, 5614, 610, 519, 4365, 2175, 547, 2490, 3636, 269, 4595, 519, 2261, 580, 1245, 8768, 568, 513, 21064, 835, 267, 28782, 4196, 873, 519, 1655, 269, 1403, 596, 666, 2149, 707, 5810, 689, 5393, 10792, 543, 1463, 3002, 267, 596, 786, 723, 4190, 5810, 538, 519, 18707, 540, 10538, 267, 5835, 267, 543, 2261, 3019, 593, 707, 2030, 563, 2691, 621, 2501, 547, 24475, 267, 621, 5673, 593, 519, 2837, 2436, 519, 2261, 580, 1245, 786, 16036, 610, 711, 269, 769, 2477, 1141, 519, 15470, 568, 3665, 267, 596, 786, 711, 1294, 513, 2261, 580, 1245, 2030, 28480, 269, 1403, 596, 2661, 538, 519, 4095, 1016, 29657, 267, 4000, 267, 610, 5607, 267, 707, 2261, 580, 1245, 666, 16036, 1282, 24475, 1932, 563, 1103, 1022, 2013, 267, 596, 1058, 2141, 3049, 707, 2371, 609, 18168, 5627, 9436, 1317, 789, 786, 948, 707, 2030, 547, 2490, 856, 19756, 543, 4264, 563, 5194, 2460, 827, 2261, 580, 1245, 568, 602, 621, 18742, 1169, 4005, 267, 855, 519, 2298, 540, 16036, 6238, 547, 27298, 1310, 519, 2034, 2208, 269, 1280, 9544, 519, 2261, 580, 9529, 267, 596, 666, 2901, 946, 519, 5452, 610, 519, 27191, 689, 513, 4628, 6738, 2030, 269, 1403, 596, 616, 9544, 4195, 5452, 267, 621, 2356, 3217, 476, 2004, 268, 3583, 2395, 547, 1294, 519, 16036, 543, 952, 596, 616, 1210, 519, 2030, 27191, 267, 621, 786, 1491, 1472, 476, 3393, 268, 2568, 2395, 547, 1294, 519, 2208, 563, 28830, 547, 917, 827, 9544, 267, 9070, 908, 267, 543, 3395, 2261, 580, 1245, 5452, 454, 763, 942, 540, 9544, 268, 634, 2249, 602, 4866, 547, 519, 26339, 543, 3979, 3283, 1058, 581, 12630, 538, 519, 5614, 4005, 950, 519, 10792, 1145, 540, 519, 15470, 568, 936, 269, 1879, 596, 1376, 3395, 891, 26339, 2249, 2038, 538, 519, 4005, 267, 789, 1205, 811, 942, 547, 1332, 543, 21707, 269, 634, 1129, 564, 543, 3943, 2249, 666, 581, 6738, 998, 519, 5614, 543, 1282, 4571, 1606, 28026, 563, 763, 4998, 1858, 547, 2030, 268, 15394, 267, 1169, 2249, 540, 2261, 580, 1245, 27422, 519, 1858, 609, 1434, 3141, 267, 855, 789, 849, 5660, 930, 12094, 269, 2311, 519, 942, 540, 10792, 3002, 267, 930, 12094, 538, 519, 12784, 2337, 538, 1732, 2208, 269, 634, 16245, 320, 8677, 1058, 581, 6870, 689, 2178, 12798, 543, 5230, 11811, 543, 547, 1489, 873, 930, 1769, 588, 1136, 1131, 581, 6225, 563, 763, 1184, 540, 9544, 268, 3057, 580, 9529, 616, 2656, 547, 10351, 3729, 267, 1397, 4191, 540, 17708, 1154, 538, 513, 1906, 2395, 267, 543, 1376, 28480, 538, 513, 1974, 540, 476, 279, 4374 ]

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

[ 7936, 883, 954, 331, 984, 541, 267, 9095, 10663, 267, 543, 954, 331, 984, 983, 16209, 269, 634, 3413, 5166, 12091, 2723, 525, 267, 799, 3761, 519, 1350, 9593, 25625, 267, 22132, 689, 519, 954, 331, 984, 983, 16209, 563, 268, 666, 581, 20248, 2352, 543, 1152, 6192, 538, 476, 2568, 260, 540, 2550, 454, 268, 3339, 8445, 30918, 4301, 6991, 568, 476, 5611, 268, 5197, 4699, 4882, 543, 15038, 3564, 713, 949, 5815, 17669, 16050, 23296, 2670, 540, 3436, 2568, 260, 476, 275, 454, 268, 3339, 17669, 27555, 5706, 633, 4994, 630, 6020, 264, 568, 9881, 486, 476, 271, 269, 2568, 454, 17739, 800, 17669, 16209, 454, 268, 1455, 282, 2049, 538, 9625, 1789, 260, 540, 519, 2551, 267, 24845, 538, 9625, 1015, 14999, 268, 4283, 519, 17669, 554, 559, 636, 454, 268, 949, 8451, 689, 519, 513, 677, 320, 2630, 630, 3467, 4122, 264, 610, 1657, 519, 17669, 16050, 454, 268, 17941, 32623, 7949, 17669, 16209, 950, 789, 4283, 17669, 23555, 538, 519, 5580, 610, 2539, 15393, 2864, 982, 519, 554, 559, 636, 454, 268, 2038, 1532, 3757, 4221, 630, 528, 840, 327, 1791, 4839, 4221, 2567, 4386, 538, 9625, 1015, 260, 540, 519, 2551, 454, 268, 4386, 1369, 476, 272, 269, 276, 268, 273, 269, 271, 4699, 540, 5169, 538, 519, 2451, 17669, 16050, 610, 538, 519, 1427, 10635, 10052, 10126, 540, 519, 1318, 17669, 16050, 454, 268, 1271, 547, 5431, 538, 17669, 13003, 585, 3811, 606, 770, 558, 4680, 454, 268, 5247, 25714, 17669, 16050, 476, 276, 454, 268, 476, 272, 269, 4406, 10202, 918, 269, 966, 6018, 543, 954, 14846, 2234, 5735, 269, 654, 645, 590, 16184, 619, 3213, 269, 630, 1220, 277, 264, 9768, 281, 5881, 273, 8182, 277, 2641, 271, 269, 3367, 621, 693, 5616, 7734, 910, 4855, 621, 693, 8835, 454, 268, 476, 273, 269, 570, 14660, 330, 341, 27979, 589, 267, 23520, 12047, 597, 631, 267, 595, 636, 327, 584, 570, 1696, 17038, 269, 5564, 573, 564, 10725, 11632, 2587, 25086, 540, 17669, 21729, 1529, 1155, 281, 3339, 14169, 543, 14726, 269, 20195, 7101, 2723, 269, 476, 1220, 280, 282, 866, 630, 272, 2567, 476, 26951, 268, 4510, 269, 8222, 281, 1015, 269, 1911, 278, 4882, 19740, 1789, 268, 25484, 268, 12208, 277, 268, 274, 910, 6583, 4364, 11239, 454, 268, 476, 274, 269, 23520, 16988, 772, 267, 744, 30322, 15120, 330, 4669, 700, 267, 570, 2075, 534, 674, 1696, 17038, 269, 11412, 531, 16050, 8129, 543, 7648, 281, 2587, 328, 4919, 6268, 540, 476, 279, 4649, 15654, 2550, 269, 13958, 3955, 341, 7101, 2723, 269, 476, 1220, 278, 282, 1321, 630, 275, 2567, 476, 8146, 268, 277, 269, 6583, 4364, 11239, 454, 268, 476, 275, 269, 645, 1314, 614, 10648, 269, 8299, 14647, 540, 519, 579, 4088, 1388, 1062, 269, 6723, 774, 22044, 324, 7638, 25419, 269, 9768, 281, 27123, 15389, 4510, 272, 272, 269, 3367, 621, 693, 5616, 7734, 910, 4855, 621, 693, 8835, 454, 268, 476, 276, 269, 717, 611, 629, 534, 1695, 718, 328, 918, 267, 645, 1002, 966, 269, 18897, 25714, 18882, 540, 17266, 9406, 11412, 531, 1488, 6670, 281, 2368, 21624, 11120, 1115, 269, 630, 1001, 278, 264, 634, 4139, 4760, 540, 2587, 5735, 2433, 4013, 8313, 540, 519, 4139, 5441, 540, 4911, 5735, 267, 5549, 269, 476, 2918, 630, 275, 2567, 476, 25784, 268, 29214, 269, 8222, 281, 1015, 269, 10755, 276, 4882, 268, 19740, 278, 268, 8182, 28242, 279, 910, 6583, 4364, 0, 5960, 476, 14341, 278, 16700, 3250, 10389, 4938, 629, 983, 625, 540, 476, 3953, 1114, 11031, 454, 2662, 21451, 267, 2549, 1408, 1284, 4060, 267, 476, 8687, 278, 286, 268, 5908, 274, 454, 4002, 2985, 476, 15782, 268, 16328, 267, 972, 568, 513, 1290, 534, 3832, 6863, 7258, 609, 5053, 543, 30511, 523, 334, 269, 7427, 338, 3688, 1572, 585, 538, 28834, 26323, 22414, 18500, 269, 2368, 1290, 534, 3832, 2474, 15877, 563, 5960, 476, 9032, 275, 15642, 5429, 9222, 1642, 18986, 5448, 632, 17485, 4356, 656, 525, 632, 25326, 6390, 454, 294, 756, 2125, 267, 6723, 267, 476, 8687, 276, 268, 6942, 274, 454, 2704, 5632, 5451, 8566, 6501, 334, 267, 667, 542, 529, 1470, 267, 476, 12293, 271, 268, 5197, 276, 454, 21545, 11681, 630, 293, 3224, 264, 540, 670, 11301, 4302, 267, 19716, 540, 589, 6255, 17020, 29845, 654, 8960, 2349, 1678, 564, 543, 609, 2107, 23788, 454, 300, 16017, 267, 590, 269, 717, 563, 272, 7353, 4919, 1820, 630, 22650, 538, 1535, 476, 23669, 538, 15841, 593, 476, 23669, 538, 1535, 476, 18089, 538, 994, 268, 14635, 9517, 912, 13233, 19848, 1670, 19964, 454, 21900, 21106, 540, 7111, 4892, 543, 4033, 23527, 454, 13233, 7467, 540, 7849, 3778, 630, 308, 2529, 12175, 4972, 540, 28668, 454, 763, 10070, 5161, 6140, 540, 3312, 543, 5299, 16493, 269, 1703, 616, 849, 930, 2258, 2510, 267, 11247, 267, 11147, 540, 11247, 267, 543, 9102, 2326, 269, 32087, 568, 513, 1804, 3765, 3250, 1415, 540, 17801, 1670, 267, 3140, 267, 543, 930, 15456, 5396, 6394, 676, 519, 13163, 540, 1977, 6599, 333, 1108, 689, 513, 2647, 3099, 540, 2959, 269, 1677, 891, 723, 1044, 2560, 0, 291, 32713, 267, 595, 269, 700, 1421, 5548, 600, 831, 267, 589, 269, 631, 1421, 26396, 267, 918, 269, 670, 1421, 5487, 13983, 8619, 267, 589, 269, 631, 1421, 661, 1749, 517, 267, 631, 269, 590, 1421, 28828, 345, 7304, 617, 3419, 22222, 267, 808, 269, 661, 1421, 1299, 715, 655, 2044, 267, 681, 269, 630, 1220, 272, 1040, 9977, 532, 6163, 267, 20786, 15984, 267, 543, 29944, 1852, 538, 476, 275, 268, 547, 476, 1015, 4458, 6040, 1453, 609, 3987, 269, 4750, 2986, 17925, 10017, 267, 476, 2918, 263, 273, 1070, 476, 11277, 268, 15782, 269, 9980, 523, 267, 681, 269, 590, 1421, 1299, 30110, 534, 267, 631, 269, 630, 1220, 280, 1040, 9977, 532, 6163, 543, 4189, 4524, 21454, 563, 763, 5369, 31752, 540, 14856, 15136, 281, 20480, 585, 3194, 267, 10644, 267, 543, 9615, 269, 10067, 342, 1695, 27359, 281, 8210, 331, 29231, 269, 16399, 267, 24910, 808, 269, 1299, 15776, 12340, 808, 269, 26081, 6199, 269, 476, 1960, 280, 563, 6624, 2090, 1397, 1585, 7700, 2188, 602, 949, 1291, 513, 1268, 883, 519, 1646, 540, 606, 4189, 4524, 269, 1323, 1367, 949, 1831, 513, 6408, 540, 606, 4189, 4524, 1813, 547, 2042, 538, 741, 1514, 610, 2123, 2729, 269, 634, 3123, 540, 4189, 4713, 616, 711, 2188, 540, 1175, 835, 1808, 3510, 267, 855, 666, 3597, 689, 1082, 2127, 540, 3283, 1272, 269, 5525, 723, 7522, 539, 1524, 1018, 4667, 547, 581, 519, 1034, 2442, 3123, 585, 513, 1268, 547, 1020, 891, 4189, 4713, 269, 27275, 4713, 538, 2043, 685, 4189, 6208, 666, 6565, 689, 1082, 2188, 1519, 855, 711, 3908, 547, 6689, 543, 15296, 3929, 267, 2168, 543, 4638, 6057, 267, 4057, 1560, 3239, 267, 6219, 6057, 267, 543, 741, 2713, 1604, 563, 263, 1001, 272, 1040, 2776, 28700, 543, 31426, 540, 4189, 4713, 538, 10708, 269, 11778, 689, 519, 3084, 635, 12643, 7190, 5619, 18643, 15730, 7110, 269, 19964, 540, 4937, 24741, 267, 476, 6924, 263, 278, 1070, 476, 278, 1691, 268, 278, 2537, 269, 29895, 267, 590, 9950, 1421, 22823, 267, 808, 13034, 1421, 3212, 10722, 553, 6441, 1194, 6759, 267, 661, 1421, 10089, 1731, 267, 595, 8160, 563, 1428, 263, 272, 1070, 476, 866, 268, 3451, 269, 715, 2317, 345, 267, 589, 269, 715, 1421, 13343, 20318, 267, 590, 269, 631, 1421, 1325, 29166, 345, 267, 661, 269, 631, 1421, 16645, 732, 14765, 267, 595, 1421, 667, 27927, 267, 594, 269, 590, 1421, 4119, 332, 656, 749, 267, 595, 269, 631, 1421, 2560, 293, 1716, 663, 14162, 267, 674, 269, 589, 269, 630, 1001, 272, 1040, 7756, 11868, 1625, 3101, 543, 1875, 20580, 3101, 4439, 574, 807, 6179, 6242, 543, 28675, 4189, 4524, 269, 4139, 4750, 540, 14856, 15136, 563, 2252, 713, 1184, 4422, 1659, 787, 267, 519, 7141, 568, 2693, 547, 723, 2942, 4606, 827, 519, 1582, 267, 3056, 547, 513, 1970, 2631, 540, 1582, 12635, 269, 3509, 2487, 2090, 723, 3177, 2963, 602, 21463, 538, 519, 5250, 543, 6617, 540, 835, 781, 1582, 12635, 666, 1291, 547, 1585, 5626, 2042, 267, 971, 607, 4189, 4713, 269, 3657, 8899, 8682, 7232, 4614, 655, 543, 14856, 15136, 13565, 286, 4014, 621, 568, 1419, 2219, 540, 607, 1152, 606, 834, 534, 21967, 4973, 1543, 542, 602, 1970, 1582, 652, 9851, 568, 513, 16023, 540, 4189, 4713, 257, 630, 310, 559, 325, 3554, 338, 476, 1960, 274, 1070, 713, 1249, 814, 1044, 10686, 1227, 8810, 942, 543, 942, 1586, 269, 2060, 519, 946, 540, 1585, 26830, 543, 6427, 1559, 267, 3173, 971, 607, 5576, 1575, 752, 9539, 15710, 6199, 267, 25347, 543, 29502, 723, 1336, 602, 1970, 1582, 12635, 4386, 1360, 4122, 538, 2550, 609, 4189, 4713, 563, 20597, 617, 565, 267, 12448, 661, 269, 1696, 620, 269, 1290, 12643, 7190, 540, 32663, 268, 9340, 7304, 14856, 15136, 543, 22226, 15136, 269, 4139, 4750, 540, 14856, 15136, 5292, 476, 1691, 263, 275, 1070, 476, 29889, 268, 275, 1626, 15301, 1960, 274, 1040, 6008, 9528, 267, 20999, 1696, 620, 269, 18370, 8826, 5530, 540, 4934, 2492, 538, 10089, 574, 923, 607, 513, 9577, 540, 31196, 268, 1556, 1290, 12643, 7190, 281, 7043, 12910, 13786, 525, 593, 14856, 543, 5369, 12278, 12580, 563, 7871, 268, 6812, 269, 28120, 267, 589, 11482, 1421, 16500, 5797, 267, 631, 1421, 667, 12447, 267, 589, 11065, 269, 630, 1960, 279, 1040, 9615, 540, 14856, 15136, 538, 5753, 543, 20390, 30105, 269, 11916, 10017, 5623, 476, 1240, 263, 275, 1916, 2026, 807, 7414, 4760, 540, 4791, 6484, 267, 476, 1556, 4433, 279, 1070, 590, 3583, 276, 4149, 3583, 280, 269, 654, 334, 1961, 344, 267, 744, 269, 654, 1421, 1299, 654, 334, 1961, 344, 267, 590, 269, 630, 2735, 273, 1040, 634, 30094, 569, 22193, 4189, 4524, 281, 634, 2527, 6725, 540, 30604, 6179, 6242, 269, 4139, 4750, 540, 14856, 15136, 267, 476, 272, 263, 274, 1070, 476, 6872, 268, 7597, 269, 0, 16158, 14373, 281, 20885, 9806, 609, 9023, 13486, 954, 577, 9734, 454, 15411, 9023, 13486, 1949, 616, 513, 2707, 585, 2810, 2157, 540, 7513, 19941, 543, 1351, 4592, 633, 17296, 12274, 538, 519, 21883, 9023, 1216, 269, 1452, 13311, 6886, 4283, 3842, 1118, 5346, 1216, 543, 18645, 936, 942, 547, 30849, 2157, 269, 634, 1216, 538, 519, 1930, 9023, 13486, 1216, 8520, 18493, 919, 267, 855, 519, 6886, 3251, 543, 2333, 538, 5834, 538, 519, 9023, 1062, 563, 28406, 707, 2030, 689, 4336, 267, 11935, 267, 23197, 5536, 267, 543, 14809, 609, 1325, 17304, 700, 10052, 6676, 3002, 9401, 13377, 563, 19400, 938, 1357, 14373, 547, 1451, 912, 1892, 875, 6676, 3002, 9401, 13377, 960, 607, 9023, 13486, 954, 577, 9734, 454, 1892, 875, 547, 5352, 9806, 609, 513, 1007, 6806, 2000, 17274, 1425, 6005, 519, 19654, 3937, 454, 1892, 875, 547, 2087, 6940, 543, 5352, 9806, 609, 1447, 1216, 1031, 538, 4130, 9023, 13486, 8520, 454, 1892, 827, 2628, 3724, 1974, 585, 707, 5092, 0, 288, 17245, 602, 3217, 513, 1546, 2065, 1935, 593, 10747, 4720, 607, 1175, 835, 540, 519, 2645, 538, 2696, 781, 23789, 269, 1306, 952, 1034, 540, 519, 1004, 8959, 547, 1174, 16817, 781, 5048, 543, 972, 568, 4986, 538, 834, 4002, 519, 17959, 540, 15661, 257, 602, 3954, 625, 519, 16750, 269, 769, 519, 4571, 268, 866, 628, 2540, 267, 2257, 543, 4984, 941, 3833, 954, 2719, 1194, 269, 634, 13943, 10206, 267, 602, 649, 2671, 513, 1455, 22660, 609, 519, 2413, 3979, 3284, 525, 4547, 538, 513, 2620, 3929, 5114, 538, 519, 2486, 540, 519, 1554, 267, 711, 19599, 563, 4263, 513, 942, 950, 1004, 5156, 519, 3047, 729, 827, 476, 7785, 271, 1296, 2025, 3079, 540, 476, 276, 5479, 267, 519, 12105, 11556, 1572, 585, 513, 6727, 14469, 540, 1932, 1082, 4978, 269, 2368, 3909, 2035, 941, 7142, 547, 1689, 267, 547, 11457, 563, 2026, 513, 1267, 267, 519, 1101, 3018, 4330, 538, 519, 1433, 540, 19606, 8209, 3357, 547, 581, 6956, 607, 513, 19621, 6609, 543, 711, 23610, 2621, 540, 1018, 2965, 3576, 1747, 936, 6634, 540, 4374, 269, 901, 1507, 7214, 1847, 729, 2965, 513, 9649, 1900, 585, 519, 17024, 540, 476, 6977, 280, 269, 769, 1249, 267, 519, 3069, 540, 4720, 5170, 547, 581, 30849, 1369, 1896, 3661, 1949, 267, 2523, 538, 865, 10777, 5137, 626, 2219, 269, 12344, 689, 519, 5133, 540, 891, 1004, 267, 519, 7271, 6069 ]

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

[ 3127, 1558, 609, 22758, 328, 3021, 520, 626, 3401, 269, 0, 7659, 16338, 1107, 6790, 696, 565, 903, 514, 744, 5288, 6790, 696, 565, 903, 514, 590, 454, 1805, 516, 696, 565, 903, 514, 568, 2808, 607, 513, 1792, 696, 25497, 5632, 8280, 32673, 608, 582, 28845, 269, 769, 2241, 2474, 267, 621, 568, 519, 8280, 565, 903, 514, 3812, 676, 6790, 696, 19905, 4551, 269, 12920, 565, 903, 1231, 616, 7135, 602, 1223, 581, 26307, 610, 5946, 602, 723, 519, 1761, 547, 2014, 519, 9552, 540, 2699, 1973, 2281, 998, 561, 1736, 269, 1703, 616, 1114, 1792, 696, 565, 903, 514, 2010, 971, 607, 1792, 696, 565, 903, 514, 744, 630, 20784, 302, 1070, 1792, 696, 565, 903, 514, 590, 630, 306, 11862, 1070, 3092, 269, 6790, 696, 565, 903, 514, 744, 568, 3742, 1152, 1282, 2175, 540, 10941, 4601, 4389, 2829, 543, 6790, 696, 565, 903, 514, 590, 568, 7123, 1282, 2175, 1141, 5135, 568, 1459, 693, 2362, 9830, 269, 4475, 267, 1792, 696, 565, 903, 514, 744, 568, 2808, 607, 5135, 2978, 850, 543, 1792, 696, 565, 903, 514, 590, 568, 2808, 607, 5135, 7123, 269, 901, 568, 519, 1883, 3017, 1063, 6790, 696, 565, 903, 514, 744, 543, 6790, 696, 565, 903, 514, 590, 563, 272, 269, 11137, 543, 6206, 16338, 454, 273, 269, 1548, 568, 6790, 696, 565, 903, 514, 744, 454, 274, 269, 1548, 568, 6790, 696, 565, 903, 514, 590, 454, 275, 269, 5381, 885, 9737, 6790, 696, 565, 903, 514, 744, 543, 6790, 696, 565, 903, 514, 590, 454, 276, 269, 17121, 676, 17121, 18948, 1107, 6790, 696, 565, 903, 514, 744, 5288, 6790, 696, 565, 903, 514, 590, 538, 21741, 983, 4813, 454, 1432, 568, 6790, 696, 565, 903, 514, 744, 888, 1805, 516, 696, 565, 903, 514, 744, 630, 20784, 302, 264, 568, 513, 7623, 602, 568, 5135, 2978, 850, 269, 769, 824, 2474, 267, 6790, 696, 565, 903, 514, 744, 568, 3742, 1152, 1282, 2175, 540, 10941, 4601, 4389, 2829, 269, 898, 3568, 18970, 545, 3601, 269, 22702, 547, 6790, 696, 565, 903, 514, 590, 267, 6790, 696, 565, 903, 542, 744, 568, 3677, 538, 2450, 269, 2334, 568, 835, 540, 519, 2101, 2601, 1946, 621, 3568, 18970, 545, 3601, 269, 2060, 14621, 547, 922, 1599, 267, 6790, 696, 565, 903, 514, 744, 5631, 5540, 519, 8840, 540, 2699, 1973, 2281, 630, 1335, 565, 1736, 1040, 5381, 547, 1792, 696, 565, 903, 514, 590, 267, 1792, 696, 565, 903, 514, 744, 568, 2808, 607, 1792, 696, 25497, 5632, 8280, 32673, 608, 582, 28845, 602, 568, 6140, 3812, 676, 519, 6828, 589, 6790, 696, 19905, 269, 28080, 9643, 2281, 540, 519, 1792, 696, 565, 903, 514, 744, 616, 26961, 658, 2281, 267, 25853, 2281, 267, 6676, 7410, 267, 543, 6120, 5268, 2812, 563, 763, 17193, 602, 568, 3812, 1996, 1792, 696, 565, 903, 514, 744, 568, 1884, 626, 516, 696, 565, 903, 514, 744, 630, 3008, 302, 1040, 6789, 302, 568, 3812, 950, 519, 1560, 4991, 7783, 609, 519, 2068, 2783, 269, 4438, 971, 11763, 2175, 267, 519, 1560, 7472, 1114, 2010, 540, 12489, 1996, 519, 26898, 540, 6790, 696, 19905, 269, 4475, 267, 6789, 302, 568, 513, 1826, 540, 18970, 3812, 269, 634, 11506, 2157, 540, 6789, 302, 5815, 519, 12136, 540, 2250, 610, 1459, 3968, 269, 901, 6789, 302, 729, 1031, 607, 519, 15262, 1282, 2038, 2395, 540, 3968, 1282, 519, 5868, 1184, 540, 18212, 9964, 8611, 269, 634, 2504, 540, 519, 17193, 4386, 607, 513, 3210, 547, 519, 4598, 2509, 519, 19800, 269, 1809, 1282, 930, 2175, 267, 519, 3461, 1522, 581, 28105, 1256, 1310, 20392, 547, 519, 4551, 543, 711, 6721, 6789, 302, 563, 1432, 568, 6790, 696, 565, 903, 514, 590, 888, 1805, 516, 696, 565, 903, 514, 590, 568, 606, 5135, 7123, 8280, 565, 903, 514, 3812, 676, 6790, 696, 19905, 2249, 269, 6790, 696, 565, 903, 514, 590, 568, 711, 2808, 607, 606, 18970, 545, 5057, 1813, 547, 922, 1507, 2450, 267, 799, 568, 10199, 476, 273, 269, 279, 737, 291, 320, 269, 898, 568, 849, 5219, 547, 607, 3556, 3999, 16464, 608, 582, 28845, 267, 602, 568, 513, 1826, 540, 12498, 268, 1335, 32673, 5057, 269, 6790, 696, 565, 903, 514, 590, 568, 513, 1826, 540, 14984, 1591, 8914, 602, 814, 519, 1761, 547, 1860, 1114, 2010, 540, 2281, 1519, 6676, 7410, 267, 6120, 5268, 2812, 267, 3092, 269, 1452, 8280, 565, 903, 1231, 1223, 849, 1860, 519, 1016, 14978, 31759, 269, 4033, 982, 891, 2010, 540, 3077, 2281, 1792, 696, 565, 903, 514, 590, 723, 519, 2702, 547, 16578, 11118, 25570, 2360, 593, 26961, 658, 2281, 543, 25853, 2281, 563, 1805, 516, 696, 565, 903, 514, 590, 513, 2101, 1826, 1792, 696, 565, 903, 514, 602, 568, 3743, 585, 519, 26737, 540, 519, 8984, 12498, 8280, 565, 1736, 540, 1895, 589, 1792, 696, 565, 903, 514, 630, 294, 3008, 1040, 901, 3322, 607, 513, 9295, 585, 31630, 602, 4386, 998, 519, 25244, 540, 3984, 4761, 3210, 602, 3217, 1747, 1282, 519, 2038, 3942, 540, 519, 1646, 540, 519, 3968, 269, 4746, 267, 22629, 540, 6120, 5268, 559, 522, 12121, 15047, 26014, 2670, 5631, 8309, 2509, 519, 31630, 1184, 563, 1432, 616, 519, 5381, 885, 9737, 6790, 696, 565, 903, 514, 744, 543, 6790, 696, 565, 903, 514, 590, 888, 268, 5637, 6790, 696, 565, 903, 514, 744, 543, 6790, 696, 565, 903, 514, 590, 616, 8280, 565, 903, 1231, 3812, 676, 6790, 696, 19905, 24094, 563, 268, 5637, 6790, 696, 565, 903, 514, 744, 543, 6790, 696, 565, 903, 514, 590, 616, 2205, 18834, 2188, 563, 1432, 568, 519, 16338, 9737, 6790, 696, 565, 903, 514, 744, 543, 6790, 696, 565, 903, 514, 590, 888, 1805, 516, 696, 565, 903, 514, 744, 5288, 6790, 696, 565, 903, 514, 590, 454, 347, 1805, 516, 696, 565, 903, 514, 744, 568, 606, 5135, 2978, 850, 8280, 565, 903, 514, 3812, 676, 6790, 696, 19905, 2249, 1475, 1805, 516, 696, 565, 903, 514, 590, 568, 606, 5135, 7123, 8280, 565, 903, 514, 3812, 676, 6790, 696, 19905, 2249, 2008, 19064, 6974, 538, 6790, 696, 565, 903, 514, 744, 13954, 27028, 550, 538, 6790, 696, 565, 903, 514, 590, 8198, 23087, 1107, 6790, 696, 565, 903, 514, 744, 5288, 6790, 696, 565, 903, 514, 590, 454, 1805, 516, 696, 565, 903, 514, 568, 513, 1792, 696, 25497, 5632, 8280, 32673, 608, 582, 28845, 269, 769, 2241, 2474, 267, 621, 568, 519, 8280, 565, 903, 514, 3812, 676, 6790, 696, 19905, 4551, 269, 769, 519, 2796, 540, 1114, 1792, 696, 565, 903, 514, 2010, 267, 1792, 696, 565, 903, 514, 744, 630, 20784, 302, 264, 543, 1792, 696, 565, 903, 514, 590, 630, 306, 11862, 264, 616, 1079, 2010, 269, 6790, 696, 565, 903, 514, 744, 630, 20784, 302, 264, 568, 513, 7623, 602, 568, 5135, 2978, 850, 269, 769, 824, 2474, 267, 6790, 696, 565, 903, 514, 744, 568, 3742, 1152, 1282, 2175, 540, 10941, 4601, 4389, 2829, 269, 634, 17193, 602, 568, 3812, 1996, 1792, 696, 565, 903, 514, 744, 568, 4550, 3613, 516, 696, 565, 903, 514, 744, 630, 3008, 302, 1040, 6789, 302, 568, 3812, 950, 519, 1560, 4991, 7783, 609, 519, 2068, 2783, 269, 6790, 696, 565, 903, 514, 590, 568, 606, 5135, 7123, 8280, 565, 903, 514, 3812, 676, 6790, 696, 19905, 2249, 269, 6790, 696, 565, 903, 514, 590, 568, 711, 2808, 607, 606, 18970, 545, 5057, 1813, 547, 922, 1507, 2450, 269, 901, 568, 519, 3017, 1063, 6790, 696, 565, 903, 514, 744, 543, 6790, 696, 565, 903, 514, 590, 563, 272, 269, 8802, 331, 1231, 7288, 267, 4460, 267, 543, 1744, 597, 2033, 324, 590, 14490, 663, 534, 269, 968, 1805, 516, 696, 19905, 7510, 4094, 525, 1848, 17449, 6481, 31814, 267, 476, 1001, 276, 267, 6032, 269, 476, 277, 4037, 1700, 278, 1626, 1421, 8222, 281, 1015, 269, 6200, 277, 11486, 7818, 268, 271, 268, 1321, 268, 4375, 278, 15433, 268, 273, 269, 1822, 4343, 14870, 454, 273, 11065, 327, 752, 10972, 267, 590, 267, 1696, 620, 269, 968, 9288, 2559, 1143, 540, 9245, 3441, 676, 1792, 696, 565, 903, 514, 14114, 1848, 25124, 543, 16332, 640, 267, 772, 2529, 269, 2817, 7732, 540, 6925, 267, 3967, 269, 476, 2735, 276, 269, 12232, 1934, 454, 272, 10200, 27026, 589, 6790, 696, 19905, 29318, 593, 5274, 3026, 583, 5268, 559, 630, 5952, 272, 3583, 275, 19740, 271, 264, 685, 3528, 715, 8656, 2839, 630, 6717, 15760, 476, 273, 269, 271, 264, 3842, 12780, 22816, 12855, 454, 32306, 513, 31400, 0, 21766, 13384, 832, 3084, 5619, 593, 715, 7374, 338, 454, 763, 2622, 2657, 25944, 630, 21766, 264, 568, 5885, 19168, 547, 2932, 513, 18487, 5619, 593, 519, 1981, 2188, 540, 6348, 4211, 2174, 684, 27809, 15302, 630, 301, 7374, 338, 264, 607, 851, 540, 3646, 547, 2569, 519, 1857, 1072, 11411, 538, 519, 2197, 563, 8512, 2996, 538, 519, 5619, 1331, 519, 19168, 2657, 6796, 630, 294, 9391, 264, 543, 519, 19168, 18926, 6796, 563, 3519, 8019, 267, 519, 1079, 4891, 723, 13175, 513, 2947, 6377, 2866, 13186, 585, 5697, 1239, 19216, 547, 5512, 873, 547, 1174, 519, 3483, 540, 519, 5619, 543, 581, 2111, 547, 946, 519, 3575, 540, 2645, 547, 581, 1031, 585, 519, 5619, 585, 2500, 543, 4977, 6765, 540, 1239, 563, 763, 14959, 786, 581, 1210, 922, 5254, 7968, 3772, 1935, 547, 715, 7374, 1981, 3815, 13178, 630, 4306, 292, 4916, 1070, 513, 2241, 267, 3044, 2213, 1505, 585, 10655, 267, 30228, 543, 22412, 908, 1239, 593, 1883, 715, 7374, 1981, 2188, 538, 2477, 563, 763, 5619, 6293, 6227, 1883, 24040, 1981, 2188, 281, 10269, 946, 267, 4568, 946, 267, 2168, 538, 13808, 267, 14432, 2732, 267, 607, 1134, 607, 1883, 6211, 1981, 2188, 282, 14968, 543, 8377, 267, 1973, 2604, 267, 6659, 1973, 7280, 543, 9402, 1973, 26307, 563, 763, 717, 9391, 1239, 5267, 513, 11931, 4473, 538, 519, 9860, 540, 715, 7374, 338, 267, 971, 607, 13119, 267, 8482, 267, 3987, 543, 11871, 543, 723, 1044, 4857, 1851, 519, 1283, 2185, 3123, 540, 9019, 12725, 543, 11451, 563, 2005, 568, 6059, 602, 476, 4029, 829, 1298, 540, 2068, 11411, 538, 519, 2197, 616, 1813, 547, 715, 7374, 338, 563, 4913, 267, 8639, 2161, 972, 568, 1100, 3102, 18487, 1239, 585, 2359, 543, 1852, 540, 1981, 2188, 267, 1818, 519, 5619, 1360, 2565, 563, 11854, 1136, 693, 519, 6679, 16008, 19108, 267, 519, 13474, 11724, 894, 540, 519, 14959, 267, 3220, 14731, 918, 553, 23383, 267, 1767, 519, 5619, 729, 547, 3715, 513, 15977, 593, 519, 9860, 540, 715, 7374, 1981, 2188, 538, 519, 2197, 547, 948, 1732, 3391, 4058, 267, 5464, 543, 6268, 540, 3646, 693, 715, 7374, 563, 3891, 1767, 519, 5619, 6293, 4988, 519, 1883, 24040, 1981, 2188, 971, 607, 10269, 946, 267, 2168, 538, 13808, 267, 946, 540, 4568, 543, 10269, 282, 4189, 14432, 11326, 267, 2034, 11804, 7296, 267, 8377, 267, 14968, 543, 6659, 1973, 7280, 563, 24685, 713, 2543, 267, 594, 993, 20938, 602, 19168, 568, 23072, 713, 1271, 5619, 713, 1032, 547, 2731, 5397, 2963, 2861, 3609, 3664, 543, 7459, 2509, 19168, 779, 9740, 540, 519, 2518, 715, 7374, 338, 3077, 543, 17629, 2657, 15147, 720, 2223, 646, 1767, 563, 1103, 513, 4633, 1224, 593, 1010, 15773, 267, 519, 10615, 29731, 540, 519, 717, 9391, 267, 3220, 18536, 918, 6373, 5025, 2692, 698, 6614, 267, 1767, 936, 519, 2063, 1906, 5756, 267, 972, 1185, 1044, 513, 1297, 540, 3084, 12326, 543, 5359, 593, 519, 11931, 4473, 540, 519, 1981, 2188, 540, 715, 7374, 338, 971, 607, 14432, 11326, 267, 2168, 538, 13808, 267, 4568, 543, 10269, 946, 563, 7804, 918, 6373, 5025, 2692, 698, 6614, 1767, 1585, 8942, 547, 2932, 971, 513, 18487, 5619, 1185, 1044, 1500, 543, 9684, 539, 519, 14959, 585, 1818, 602, 4674, 513, 4641, 563, 2108, 2026, 19168, 1193, 1161, 2509, 772, 18449, 267, 713, 5619, 568, 12905, 543, 786, 1683, 2629, 1344, 547, 3391, 3375, 6194, 547, 1732, 2232, 519, 715, 7374, 1981, 2188, 543, 1683, 4316, 547, 1732, 2061, 543, 1852, 715, 7374, 338, 538, 19168, 269, 0, 1692, 547, 7281, 538, 5771, 286, 5771, 568, 835, 540, 519, 1158, 779, 4102, 10764, 267, 543, 621, 568, 1759, 593, 519, 3741, 540, 3661, 538, 835, 2696, 267, 519, 21024, 17124, 630, 701, 864, 581, 2390, 1864, 264, 607, 519, 3803, 28034, 540, 2696, 267, 543, 519, 15984 ]

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

[ 1862, 7711, 5391, 516, 3667, 338, 3820, 610, 2638, 856, 938, 4567, 2985, 693, 4179, 281, 12262, 560, 9850, 7456, 756, 516, 3667, 338, 3820, 2016, 1950, 1297, 538, 8701, 1106, 2488, 979, 269, 1773, 2033, 3738, 476, 272, 1422, 9064, 318, 345, 7684, 2942, 835, 519, 1106, 27909, 723, 1044, 2919, 519, 3877, 267, 855, 1152, 2015, 607, 256, 10406, 883, 8701, 1106, 540, 1990, 815, 1535, 266, 12011, 1141, 2048, 1775, 11313, 519, 16494, 1297, 7294, 982, 540, 269, 476, 274, 3738, 18758, 3919, 1394, 547, 519, 6498, 540, 1950, 2338, 267, 1175, 899, 267, 256, 281, 14921, 543, 29435, 532, 540, 1950, 1297, 547, 5581, 519, 4009, 3597, 540, 2942, 23511, 12474, 568, 13931, 676, 16671, 15760, 9539, 290, 4149, 288, 476, 274, 269, 271, 476, 272, 9948, 609, 910, 328, 267, 1775, 4318, 1039, 16494, 907, 5517, 602, 713, 1184, 666, 581, 1336, 676, 13868, 519, 1775, 538, 3830, 1496, 476, 272, 9948, 609, 910, 328, 476, 26341, 524, 256, 4934, 938, 4567, 2985, 693, 4179, 281, 12262, 560, 9850, 7456, 756, 516, 3667, 338, 3820, 519, 6169, 585, 14921, 1950, 2338, 538, 8701, 1106, 1950, 269, 1635, 16671, 15760, 9539, 290, 4149, 288, 476, 274, 269, 271, 2489, 267, 649, 786, 6460, 476, 278, 4501, 510, 2004, 4113, 883, 513, 1106, 1862, 8525, 693, 4179, 281, 12262, 560, 9850, 7456, 756, 516, 3667, 338, 3820, 1923, 342, 347, 815, 476, 274, 315, 3738, 543, 1422, 630, 1923, 315, 13320, 2715, 530, 7684, 2715, 1990, 1923, 315, 256, 670, 1777, 1186, 281, 12262, 560, 9850, 7456, 756, 516, 3667, 338, 3820, 540, 1210, 519, 630, 5839, 331, 4768, 514, 3738, 1379, 3126, 7269, 543, 568, 3769, 513, 269, 18140, 538, 519, 8701, 1106, 1586, 713, 1184, 666, 581, 9763, 607, 9648, 609, 8701, 10974, 3346, 693, 1862, 2422, 14328, 1106, 2942, 835, 562, 815, 536, 267, 1287, 513, 568, 1767, 547, 581, 519, 3597, 269, 19382, 547, 519, 6498, 540, 1950, 2338, 1888, 476, 3607, 875, 798, 1775, 6498, 540, 1950, 2338, 538, 8701, 1106, 6169, 519, 23479, 540, 1079, 2338, 1862, 1703, 568, 513, 1114, 1259, 547, 2099, 513, 1950, 1297, 538, 8701, 907, 2290, 1950, 1297, 538, 8701, 1106, 540, 513, 1950, 1297, 476, 278, 268, 276, 328, 568, 3254, 519, 269, 6423, 519, 3105, 3296, 267, 15733, 543, 2372, 582, 1801, 540, 1950, 2338, 267, 946, 14328, 1106, 513, 1862, 2098, 552, 1775, 16564, 1990, 269, 1990, 815, 678, 476, 272, 28250, 16564, 476, 272, 267, 607, 649, 786, 23511, 476, 273, 581, 1022, 1079, 1950, 2338, 538, 8701, 1106, 540, 513, 1950, 1297, 666, 581, 1336, 676, 519, 269, 594, 16564, 1990, 269, 1990, 815, 1535, 266, 12011, 1141, 2048, 1775, 11313, 519, 16494, 1297, 547, 713, 3296, 476, 273, 315, 16532, 786, 256, 654, 1106, 606, 31164, 6906, 524, 3738, 630, 476, 278, 6567, 476, 275, 1775, 3738, 5153, 476, 274, 519, 10974, 540, 1950, 538, 1862, 1677, 581, 519, 562, 6253, 3597, 6498, 540, 1950, 2338, 538, 8701, 1106, 6169, 536, 28250, 16564, 476, 272, 610, 10208, 1483, 11783, 19881, 3296, 267, 15733, 543, 2372, 582, 1801, 540, 1950, 2338, 538, 8701, 1106, 855, 538, 8701, 1106, 1344, 3346, 721, 9623, 256, 1656, 4661, 1776, 1950, 1297, 538, 8701, 1106, 1419, 1294, 585, 519, 8701, 1106, 540, 513, 1950, 1297, 568, 1572, 1862, 2913, 543, 581, 1079, 1950, 2338, 538, 8701, 1106, 676, 513, 1875, 14706, 1950, 568, 256, 589, 1950, 1297, 476, 278, 268, 276, 328, 16564, 26260, 2988, 582, 26664, 267, 849, 267, 5609, 16564, 815, 11534, 5242, 2427, 540, 519, 1570, 538, 713, 907, 1306, 513, 7110, 547, 713, 3296, 815, 268, 273, 910, 476, 273, 328, 1990, 815, 678, 476, 272, 16564, 269, 1341, 1775, 315, 7562, 630, 1422, 9064, 3738, 3738, 815, 11534, 5242, 2427, 540, 519, 5086, 16564, 26260, 2988, 582, 26664, 25066, 1106, 13462, 7223, 547, 29890, 786, 780, 295, 545, 24189, 12791, 769, 21460, 267, 30037, 476, 276, 281, 736, 7826, 267, 8779, 1723, 29879, 3794, 13293, 9487, 267, 2974, 325, 6355, 24630, 1656, 6176, 7010, 23749, 267, 3212, 2131, 20996, 16544, 267, 966, 7568, 880, 10163, 589, 7032, 267, 0, 258, 3848, 476, 275, 630, 7072, 547, 8890, 6776, 16387, 264, 674, 9928, 3487, 476, 273, 4569, 692, 25583, 281, 674, 2529, 322, 630, 7093, 27761, 326, 994, 12218, 281, 476, 273, 526, 5729, 454, 32317, 281, 23570, 30930, 8274, 454, 20428, 281, 9119, 454, 13707, 20113, 281, 476, 276, 454, 13911, 281, 11872, 692, 1103, 713, 3184, 649, 786, 1224, 891, 3584, 1384, 1892, 1548, 616, 519, 10096, 540, 519, 2262, 9511, 888, 1892, 5808, 729, 519, 13653, 540, 9511, 563, 1892, 1548, 568, 1773, 2033, 9511, 563, 1892, 1548, 568, 20348, 9511, 563, 1892, 1548, 568, 25107, 9511, 888, 1892, 16294, 513, 11282, 7077, 543, 11282, 17887, 563, 1892, 16294, 2612, 322, 20811, 543, 3921, 3729, 540, 513, 1448, 563, 1892, 3557, 543, 6961, 3845, 4542, 563, 1892, 20028, 540, 1448, 623, 3287, 11971, 264, 689, 1535, 14289, 568, 1923, 344, 347, 543, 689, 586, 14289, 568, 1923, 343, 347, 563, 1892, 20028, 6027, 1875, 24733, 5537, 547, 11282, 17887, 568, 1572, 3768, 20526, 3845, 563, 1892, 20028, 6027, 6252, 547, 519, 11282, 17887, 568, 1572, 9859, 3845, 563, 1892, 3557, 543, 6961, 519, 681, 566, 4542, 610, 10406, 4542, 563, 1892, 3557, 543, 6961, 519, 681, 566, 4542, 270, 19667, 1707, 4542, 585, 5007, 6498, 563, 1892, 14216, 633, 4571, 15304, 4542, 689, 5223, 4542, 563, 1892, 16294, 2405, 1014, 540, 513, 6906, 563, 1892, 1548, 798, 596, 1611, 676, 21276, 3515, 563, 1892, 16294, 2578, 5514, 540, 513, 6906, 563, 1892, 8058, 602, 1199, 2103, 540, 513, 6906, 616, 21276, 563, 1892, 1548, 616, 10974, 540, 1298, 5514, 540, 513, 6906, 563, 1892, 16294, 5086, 20312, 10725, 543, 538, 7266, 518, 540, 513, 6906, 563, 1892, 16294, 519, 8144, 540, 17887, 563, 1892, 3503, 519, 4834, 540, 8144, 540, 17887, 563, 1892, 16294, 519, 10047, 540, 17887, 563, 1892, 3503, 519, 3830, 540, 17887, 563, 1892, 3503, 519, 3830, 540, 10047, 540, 17887, 563, 1892, 16294, 519, 31007, 540, 513, 1899, 563, 1892, 16294, 519, 9386, 610, 13506, 540, 513, 1899, 563, 1892, 3503, 4542, 585, 9386, 540, 513, 1899, 8429, 998, 1079, 2798, 563, 1892, 1548, 568, 519, 2783, 540, 1079, 6252, 3515, 563, 1892, 1548, 568, 519, 2783, 540, 1079, 13902, 3515, 563, 1892, 1879, 1614, 2798, 616, 1767, 547, 581, 897, 710, 541, 563, 1892, 1548, 568, 519, 3830, 540, 1899, 6252, 547, 1535, 14289, 563, 1892, 1548, 568, 519, 3830, 540, 1899, 6252, 547, 586, 14289, 563, 1892, 1548, 798, 596, 1611, 676, 18448, 338, 563, 1892, 3557, 543, 6961, 519, 3830, 540, 1899, 538, 1793, 641, 25435, 1106, 563, 1892, 9537, 540, 3515, 563, 1892, 3557, 543, 6961, 3830, 540, 1899, 538, 1448, 1606, 331, 2100, 1106, 563, 1892, 14216, 633, 519, 21136, 1106, 540, 513, 1899, 563, 1892, 3557, 543, 6961, 3830, 540, 1899, 538, 1079, 15304, 338, 1106, 563, 1892, 17817, 540, 1875, 268, 3200, 673, 2786, 1899, 8429, 998, 1079, 2798, 563, 1892, 3557, 543, 6961, 3830, 540, 1899, 538, 18448, 1106, 563, 1892, 3557, 543, 6961, 3830, 540, 1899, 538, 3339, 1106, 563, 1892, 14674, 519, 2990, 540, 513, 1448, 609, 2463, 547, 1899, 563, 1892, 8672, 540, 10167, 543, 2783, 540, 21276, 563, 1892, 28171, 602, 31556, 540, 513, 6906, 616, 21276, 563, 1892, 28171, 602, 519, 1318, 20312, 10725, 540, 6906, 616, 21276, 563, 1892, 24234, 1063, 1079, 3515, 563, 1892, 5565, 3515, 561, 272, 543, 561, 273, 616, 6252, 952, 543, 1152, 952, 544, 272, 284, 332, 273, 563, 1892, 4855, 1448, 540, 10167, 540, 519, 3515, 563, 1892, 4855, 3830, 540, 1899, 563, 1892, 4855, 8650, 5086, 563, 1892, 4855, 9703, 7285, 540, 12730, 563, 1892, 4855, 9703, 5086, 540, 519, 29105, 563, 1892, 4855, 519, 4099, 540, 519, 4931, 15132, 548, 540, 519, 6906, 563, 1892, 16294, 519, 24267, 3830, 540, 4110, 562, 538, 1535, 543, 586, 4632, 563, 1892, 16294, 2489, 24267, 3830, 540, 2034, 4110, 538, 1535, 543, 586, 4632, 563, 1892, 4855, 513, 4745, 3830, 540, 519, 3515, 998, 519, 5169, 543, 13902, 547, 519, 3515, 563, 1892, 4855, 519, 1858, 540, 519, 22112, 3148, 563, 1892, 9351, 540, 11746, 345, 1756, 692, 1012, 4427, 18285, 547, 6505, 523, 707, 2104, 692, 2304, 4757, 729, 1175, 2366, 547, 6166, 707, 20478, 269, 7490, 1265, 519, 4757, 543, 4945, 1412, 18183, 3305, 7427, 262, 547, 1376, 20401, 532, 269, 0, 2971, 1548, 568, 476, 7906, 269, 275, 2600, 540, 476, 275, 267, 31405, 2496, 1692, 1454, 568, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 286, 2422, 519, 9498, 2630, 547, 5173, 513, 6871, 267, 2901, 607, 513, 6871, 540, 513, 1297, 267, 971, 607, 476, 7906, 269, 275, 260, 540, 476, 275, 4817, 271, 610, 519, 6871, 540, 476, 273, 2338, 269, 7827, 519, 2338, 547, 5173, 1114, 5666, 269, 15439, 1826, 883, 519, 3403, 10833, 543, 519, 2626, 786, 9337, 780, 1012, 476, 7906, 269, 275, 260, 540, 476, 275, 267, 31405, 815, 476, 22724, 275, 269, 274, 692, 24280, 1776, 6871, 2630, 269, 7392, 883, 11378, 454, 8340, 1297, 1759, 593, 6871, 454, 704, 1417, 540, 454, 8340, 6871, 1759, 593, 476, 273, 2338, 454, 323, 22866, 676, 454, 15612, 908, 15823, 14633, 1448, 2185, 540, 2185, 8536, 267, 8370, 4627, 543, 15823, 1215, 547, 5173, 476, 7906, 269, 275, 260, 540, 476, 275, 4817, 271, 286, 15439, 7941, 519, 2600, 676, 476, 1911, 543, 9062, 676, 519, 1297, 269, 1280, 1383, 267, 476, 7906, 269, 275, 1315, 1911, 1535, 476, 275, 4817, 271, 815, 476, 22724, 275, 269, 274, 610, 476, 271, 269, 276, 1691, 1535, 476, 275, 4817, 271, 815, 476, 22724, 275, 269, 274, 692, 2971, 1215, 1454, 568, 476, 7906, 269, 275, 2600, 540, 519, 1739, 2338, 2496, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 4905, 815, 476, 22724, 25396, 269, 276, 1691, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 6349, 815, 476, 22724, 32542, 269, 271, 2764, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 6734, 815, 476, 22724, 32542, 269, 276, 5655, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 6860, 815, 476, 22724, 28242, 269, 4962, 277, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 4962, 815, 476, 22724, 28242, 269, 6872, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 6187, 815, 476, 22724, 275, 3451, 269, 5400, 275, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 5881, 815, 476, 22724, 275, 3451, 269, 6795, 279, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 5400, 815, 476, 22724, 275, 4097, 269, 12208, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 6021, 815, 476, 22724, 275, 4097, 269, 277, 2918, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 272, 815, 476, 22724, 31973, 269, 1691, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1556, 815, 476, 22724, 31973, 269, 4792, 275, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1321, 815, 476, 22724, 275, 3607, 269, 12739, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1724, 815, 476, 22724, 275, 3607, 269, 6924, 273, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1691, 815, 476, 22724, 275, 4391, 269, 3422, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1428, 815, 476, 22724, 275, 4391, 269, 10170, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1626, 815, 476, 22724, 275, 4343, 269, 23470, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1704, 815, 476, 22724, 275, 4343, 269, 278, 4343, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 1240, 815, 476, 22724, 275, 4375, 269, 21857, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 866, 815, 476, 22724, 275, 4375, 269, 278, 5780, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 273, 815, 476, 22724, 24496, 269, 2764, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271, 269, 2641, 815, 476, 22724, 24496, 269, 8064, 275, 476, 7906, 269, 275, 2600, 540, 476, 275, 4817, 271 ]

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

[ 281, 25021, 7435, 692, 20756, 16921, 29755, 2221, 538, 713, 26189, 762, 596, 786, 1451, 547, 1118, 513, 1688, 602, 666, 1847, 899, 513, 1480, 1688, 780, 3383, 267, 1577, 781, 1205, 3323, 780, 263, 9616, 281, 27297, 6337, 585, 4704, 2020, 1012, 5153, 476, 272, 281, 10435, 513, 670, 16636, 692, 5575, 649, 991, 547, 1451, 875, 547, 1118, 513, 554, 16636, 267, 547, 1118, 519, 1688, 1847, 780, 272, 269, 6875, 513, 4216, 543, 1689, 922, 7516, 547, 476, 1428, 2473, 476, 1428, 2473, 476, 1724, 780, 273, 269, 6875, 513, 8559, 4216, 543, 1689, 922, 7516, 547, 476, 736, 2473, 476, 276, 2473, 476, 1428, 780, 274, 269, 1325, 793, 1312, 519, 10833, 538, 8998, 267, 855, 1832, 476, 273, 7825, 3845, 689, 3297, 269, 6828, 873, 780, 275, 269, 6875, 513, 12106, 267, 1118, 621, 8559, 267, 543, 1689, 922, 7516, 547, 476, 280, 2473, 476, 280, 2473, 476, 1556, 780, 276, 269, 1325, 793, 519, 8559, 12106, 609, 519, 3105, 4137, 538, 8998, 543, 1895, 873, 780, 277, 269, 6875, 1776, 12106, 543, 1689, 519, 7516, 547, 476, 278, 2473, 476, 278, 2473, 476, 280, 780, 278, 269, 6875, 513, 4216, 543, 1689, 922, 7516, 547, 476, 1321, 2473, 476, 1321, 2473, 476, 275, 780, 279, 269, 6875, 513, 12718, 543, 1689, 922, 7516, 547, 476, 1321, 2473, 476, 279, 2473, 476, 275, 780, 280, 269, 1325, 793, 519, 4216, 543, 12718, 607, 3254, 538, 8666, 476, 1626, 543, 1895, 873, 780, 1015, 269, 570, 2830, 621, 476, 3445, 5232, 607, 3254, 538, 8666, 1704, 780, 1556, 269, 6875, 519, 12106, 1500, 538, 1900, 476, 277, 5447, 621, 609, 519, 1101, 4137, 538, 8998, 607, 3254, 538, 8666, 476, 866, 780, 1321, 269, 6875, 519, 4137, 1500, 538, 1900, 476, 280, 543, 5447, 621, 607, 3254, 538, 8666, 476, 736, 543, 476, 2641, 543, 1895, 3388, 780, 3086, 1577, 781, 1376, 547, 1118, 519, 1688, 780, 1012, 5153, 476, 273, 281, 10435, 519, 7435, 692, 272, 269, 6875, 513, 4216, 543, 1689, 922, 7516, 547, 476, 1911, 2473, 476, 1428, 2473, 476, 1724, 780, 273, 269, 6875, 513, 12718, 543, 1689, 922, 7516, 547, 476, 736, 2473, 476, 1428, 2473, 476, 1724, 780, 274, 269, 6828, 873, 607, 3254, 703, 8666, 476, 277, 543, 476, 278, 780, 275, 269, 6875, 513, 8559, 4216, 543, 1689, 922, 7516, 547, 476, 1428, 2473, 476, 1724, 2473, 476, 2420, 780, 276, 269, 6875, 1776, 8559, 4216, 543, 1689, 922, 7516, 547, 476, 1911, 2473, 476, 272, 2473, 476, 2420, 780, 277, 269, 15012, 873, 607, 3254, 538, 8666, 476, 1691, 780, 278, 269, 6875, 1312, 519, 5515, 267, 5447, 543, 1895, 873, 607, 3254, 538, 8666, 476, 1428, 543, 476, 1626, 780, 279, 269, 6875, 519, 554, 16636, 26134, 621, 543, 1895, 609, 519, 4137, 607, 3254, 538, 8666, 476, 1704, 780, 280, 269, 13660, 12393, 519, 9416, 547, 1118, 476, 275, 780, 1015, 269, 5901, 476, 273, 7825, 3845, 1063, 1142, 9416, 780, 1556, 269, 5590, 873, 607, 829, 707, 11263, 780, 1321, 269, 6875, 513, 4216, 543, 1689, 922, 7516, 547, 476, 7761, 2473, 476, 5780, 2473, 476, 1724, 780, 1724, 269, 6828, 621, 609, 11263, 607, 3254, 538, 8666, 476, 2420, 780, 1691, 269, 6875, 519, 4137, 3254, 538, 8666, 476, 2537, 543, 28550, 621, 476, 6344, 5232, 607, 3254, 538, 8666, 476, 2190, 780, 1428, 269, 6828, 519, 31963, 543, 519, 4137, 609, 11263, 607, 3254, 538, 8666, 476, 1789, 543, 476, 4029, 780, 1626, 269, 6875, 554, 16636, 543, 1895, 621, 607, 3254, 538, 8666, 476, 3953, 780, 1704, 269, 6875, 513, 8559, 4216, 543, 1689, 922, 7516, 547, 476, 3583, 2473, 476, 4366, 2473, 476, 1428, 780, 1240, 269, 13660, 12393, 513, 9416, 543, 1895, 621, 609, 519, 8559, 4216, 607, 3254, 538, 8666, 476, 4097, 780, 866, 269, 570, 2830, 621, 476, 3445, 5232, 607, 3254, 538, 8666, 476, 3607, 780, 736, 269, 6828, 621, 609, 519, 1688, 607, 3254, 538, 8666, 476, 4391, 269, 0, 258, 15765, 20145, 692, 1012, 8791, 272, 269, 277, 763, 2034, 12045, 692, 11693, 513, 1114, 4192, 1599, 3230, 344, 284, 535, 3287, 9385, 3667, 346, 267, 6525, 649, 917, 602, 922, 12045, 267, 3230, 344, 815, 535, 21948, 343, 9385, 3667, 346, 267, 6525, 568, 513, 1644, 1599, 4171, 3977, 693, 3230, 343, 30381, 2330, 6645, 721, 519, 9386, 540, 519, 17242, 1899, 547, 3230, 344, 815, 535, 3287, 14638, 693, 519, 1448, 30967, 320, 267, 325, 5416, 4297, 315, 3667, 346, 269, 6525, 2334, 568, 267, 15627, 593, 519, 12045, 3113, 2995, 721, 519, 2418, 540, 19527, 593, 519, 3312, 1599, 779, 3113, 563, 4263, 513, 1448, 1141, 3230, 325, 21948, 343, 14638, 568, 2318, 267, 519, 9386, 540, 519, 17242, 1899, 547, 3230, 325, 2330, 568, 2318, 269, 4475, 267, 593, 606, 8884, 1141, 3230, 325, 21948, 343, 14638, 568, 2318, 267, 519, 1599, 3230, 325, 2330, 568, 2810, 630, 528, 8375, 1040, 6684, 267, 952, 3230, 325, 21948, 343, 14638, 568, 2942, 593, 606, 8884, 267, 519, 3113, 540, 3230, 325, 2330, 568, 13302, 630, 528, 9991, 1916, 763, 12045, 540, 3230, 325, 2330, 6645, 721, 711, 1152, 2436, 519, 1599, 3230, 325, 2330, 568, 2810, 610, 13302, 593, 606, 8884, 267, 855, 849, 875, 519, 1599, 3230, 325, 2330, 568, 2810, 610, 13302, 269, 6733, 693, 519, 1079, 17242, 3515, 3254, 538, 7612, 1109, 272, 269, 277, 269, 272, 269, 1284, 1294, 602, 2282, 1448, 3230, 288, 2330, 519, 1871, 540, 3230, 325, 21948, 343, 14638, 568, 2318, 543, 5266, 2673, 547, 4642, 267, 543, 2282, 602, 1448, 519, 3113, 568, 8375, 7444, 269, 1635, 4334, 267, 2282, 1448, 3230, 289, 20728, 346, 267, 6525, 519, 12045, 568, 2942, 543, 5266, 1804, 538, 6207, 1871, 267, 543, 3230, 325, 2330, 568, 13302, 6385, 2282, 3230, 289, 20728, 346, 269, 28021, 24916, 6998, 2436, 519, 1871, 540, 519, 12045, 1599, 568, 2318, 610, 2942, 543, 2436, 621, 568, 1804, 610, 1507, 267, 649, 666, 849, 2307, 968, 6011, 568, 519, 12045, 4657, 18313, 10303, 519, 12045, 267, 3230, 344, 815, 535, 21948, 343, 9385, 3667, 346, 267, 6525, 568, 3294, 513, 1599, 267, 649, 666, 2015, 2921, 922, 12045, 2443, 519, 12045, 540, 519, 12045, 2443, 543, 2307, 968, 6343, 1281, 519, 12045, 540, 519, 12045, 2995, 721, 827, 875, 519, 3312, 1599, 31136, 9495, 1284, 1376, 609, 606, 7634, 540, 513, 3001, 1843, 780, 2162, 2776, 1613, 11314, 272, 269, 277, 269, 272, 780, 763, 2990, 540, 513, 1286, 6117, 2059, 513, 2786, 4155, 693, 942, 3230, 339, 2330, 538, 3764, 568, 2016, 676, 519, 1599, 3230, 344, 815, 521, 6025, 14638, 602, 568, 3182, 3293, 2630, 269, 634, 1286, 779, 2990, 1599, 814, 4559, 6027, 538, 5215, 540, 3952, 269, 1280, 3236, 267, 519, 1448, 30967, 273, 267, 476, 275, 14638, 593, 519, 3113, 6920, 602, 1310, 3230, 273, 2330, 3764, 267, 519, 1286, 814, 14612, 3230, 6110, 271, 2330, 3952, 780, 2971, 630, 320, 264, 8512, 513, 780, 7617, 4781, 1655, 6257, 519, 2623, 540, 519, 1286, 593, 519, 942, 8884, 3230, 314, 273, 267, 274, 316, 315, 3667, 346, 286, 28021, 1892, 634, 1286, 568, 11074, 563, 1892, 634, 1286, 568, 10707, 693, 513, 3586, 630, 12061, 14706, 264, 3432, 563, 1892, 634, 1286, 568, 23960, 563, 1892, 634, 1286, 568, 632, 5120, 908, 563, 7617, 4781, 1655, 6257, 519, 2623, 540, 519, 1286, 593, 519, 942, 8884, 3230, 314, 274, 267, 275, 316, 315, 3667, 346, 286, 28021, 1892, 634, 1286, 568, 11074, 563, 1892, 634, 1286, 568, 10707, 693, 513, 3586, 630, 12061, 14706, 264, 3432, 563, 1892, 634, 1286, 568, 23960, 563, 1892, 634, 1286, 568, 632, 5120, 908, 563, 7617, 4781, 1655, 6257, 519, 2623, 540, 519, 1286, 593, 519, 942, 8884, 3230, 314, 275, 267, 276, 316, 315, 3667, 346, 286, 28021, 1892, 634, 1286, 568, 11074, 563, 1892, 634, 1286, 568, 10707, 693, 513, 3586, 630, 12061, 14706, 264, 3432, 563, 1892, 634, 1286, 568, 23960, 563, 1892, 634, 1286, 568, 632, 5120, 908, 563, 1692, 1082, 3952, 1705, 519, 1286, 2951, 593, 519, 942, 8884, 3230, 314, 276, 267, 278, 316, 315, 3667, 346, 286, 28021, 1692, 1082, 3952, 1705, 519, 1286, 2951, 593, 519, 942, 8884, 3230, 314, 271, 267, 1321, 316, 315, 3667, 346, 286, 15732, 2971, 630, 321, 264, 8512, 338, 536, 267, 524, 267, 546, 267, 543, 552, 780, 7617, 3113, 589, 6363, 568, 519, 1655, 11347, 540, 519, 12045, 1599, 3230, 338, 21948, 339, 9385, 3667, 346, 286, 28021, 1892, 589, 454, 1892, 645, 454, 1892, 595, 454, 1892, 667, 454, 1892, 661, 454, 1892, 674, 454, 589, 645, 595, 667, 661, 674, 454, 263, 9616, 281, 519, 7299, 17887, 540, 891, 11708, 949, 723, 1044, 26987, 547, 547, 3514, 891, 3252, 269, 8437, 593, 513, 3113, 547, 23822, 621, 8094, 3086, 556, 4067, 519, 3113, 596, 8359, 585, 519, 2626, 1657, 607, 519, 3113, 540, 3230, 341, 6025, 9385, 3667, 346, 269, 6525, 6904, 3113, 589, 6363, 568, 519, 1655, 11347, 540, 519, 12045, 1599, 3230, 341, 21948, 339, 9385, 3667, 346, 286, 28021, 1892, 589, 454, 1892, 645, 454, 1892, 595, 454, 1892, 667, 454, 1892, 661, 454, 1892, 674, 454, 7617, 540, 519, 1739, 6898, 616, 3020, 286, 8564, 782, 602, 4019, 563, 1892, 1879, 3230, 338, 21948, 339, 14638, 568, 2318, 267, 519, 1286, 779, 2990, 568, 13302, 563, 1892, 1879, 519, 1286, 25815, 1524, 267, 3230, 338, 21948, 339, 14638, 568, 2942, 563, 1892, 634, 1599, 3230, 338, 262, 2330, 4564, 519, 6991, 540, 519, 1286, 563, 1892, 1879, 3230, 338, 21948, 339, 14638, 568, 2318, 267, 519, 1286, 779, 2990, 568, 2810, 563, 1892, 634, 1599, 3230, 338, 262, 2330, 4564, 519, 10231, 540, 519, 1286, 563, 1892, 1403, 3230, 338, 21948, 339, 14638, 568, 4642, 267, 1287, 3230, 338, 6025, 14638, 1590, 581, 4642, 563, 1892, 1879, 3230, 338, 21948, 339, 14638, 568, 4642, 267, 519, 1286, 568, 11074, 563, 1892, 7183, 540, 519, 1657, 6898, 616, 3020, 563, 7617, 540, 519, 1739, 6898, 616, 3020, 286, 8564, 782, 602, 4019, 563, 1892, 1879, 3230, 341, 6025, 14638, 568, 2318, 267, 3230, 341, 21948, 339, 14638, 1590, 849, 581, 2318, 563, 1892, 1703, 616, 2053, 950, 3230, 341, 21948, 339, 14638, 568, 4642, 543, 3230, 341, 6025, 14638, 568, 711, 4642, 563, 1892, 1403, 3230, 341, 21948, 339, 14638, 568, 4642, 267, 1287, 3230, 341, 6025, 14638, 1590, 581, 4642, 563, 1892, 1879, 3230, 341, 21948, 339, 14638, 568, 2942, 267, 519, 1286, 568, 23646, 1524, 563, 1892, 634, 1599, 3230, 341, 262, 2330, 4564, 519, 2990, 540, 519, 1286, 563, 1892, 634, 1599, 3230, 341, 262, 2330, 4564, 519, 10231, 540, 519, 1286, 563, 1892, 1879, 3230, 341, 21948, 339, 14638, 568, 2942, 267, 519, 1286, 568, 3001, 23651, 563, 1892, 7183, 540, 519, 1657, 6898, 616, 3020, 780, 2162, 4427, 7611, 272, 269, 277, 269, 272, 19102, 2084, 610, 13302, 692, 3383, 2484, 267, 649, 723, 1031, 519, 1913, 2810, 543, 13302, 16022, 569, 547, 4766, 513, 1599, 779, 3113, 269, 3371, 649, 5581, 891, 2474, 811, 18005, 780, 2971, 9502, 272, 269, 277, 269, 273, 780, 11693, 513, 1599, 3230, 325, 3287, 14638, 3989, 593, 519, 8884, 30967, 320, 14720, 9385, 3667, 346, 267, 6525, 649, 2161, 602, 3230, 325, 2330, 568, 2810, 593, 30967, 320, 14720, 14638, 3177, 602, 585, 782, 3230, 343, 20728, 346, 267, 6525, 3230, 344, 2330, 538, 519, 8884, 30967, 320, 14720, 9385, 3667, 346, 267, 6525, 952, 3230, 343, 1422, 2741, 586, 20728, 346, 267, 6525, 1287, 3230, 325, 3287, 264, 1422, 2741, 535, 12169, 9385, 3667, 346, 269, 6525, 6684, 267, 649, 2161, 602, 3230, 325, 2330, 568, 13302, 593, 30967, 320, 14720, 14638, 3177, 602, 585, 782, 3230, 343, 20728, 346, 267, 6525, 3230, 344, 2330, 538, 519, 8884, 30967, 320, 14720, 9385, 3667, 346, 267, 6525, 952, 3230, 343, 1422, 2741, 586, 20728, 346, 267, 6525, 1287, 3230, 325, 3287, 264, 1422, 25885, 535, 12169, 9385, 3667, 346, 269, 28021, 8245, 2952, 2322, 267, 606, 2810, 1599, 568, 835, 602, 568, 8375, 607, 649, 1847, 689, 2451, 547, 1318, 2059, 519, 3113, 267, 543, 513, 13302, 1599, 568, 835, 602, 8813, 607, 519, 1871, 540, 519, 3403, 4679, 269, 1403, 519, 1599, 814, 513, 12045, 267, 519, 1129, 540, 519, 12045, 6645, 721, 2436 ]

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

[ 3597, 269, 19417, 815, 476, 272, 1341, 3193, 4311, 10947, 318, 19417, 20172, 16000, 1070, 1582, 10947, 318, 19417, 20172, 16192, 11723, 1038, 3666, 815, 1582, 10947, 318, 25270, 20172, 2020, 1038, 952, 3666, 3436, 476, 272, 543, 1582, 10947, 318, 25270, 20172, 16000, 264, 13843, 476, 271, 912, 2018, 2132, 1582, 16192, 318, 8527, 622, 20172, 2020, 1038, 952, 3666, 2999, 910, 272, 543, 1582, 10947, 318, 25270, 20172, 16192, 264, 10922, 476, 271, 912, 2018, 2132, 1582, 16000, 318, 8527, 622, 20172, 2020, 1038, 952, 3666, 3436, 476, 272, 543, 1582, 10947, 318, 25270, 20172, 16000, 264, 2999, 476, 271, 912, 2018, 3597, 16000, 815, 1582, 16000, 318, 8527, 622, 20172, 16000, 994, 2018, 2132, 1582, 16192, 318, 8527, 622, 20172, 2020, 1038, 952, 3666, 2999, 910, 272, 543, 1582, 10947, 318, 25270, 20172, 16192, 264, 3436, 476, 271, 912, 2018, 3597, 16192, 815, 1582, 16192, 318, 8527, 622, 20172, 16192, 994, 2018, 2132, 1582, 16000, 318, 8527, 622, 20172, 2020, 1038, 2132, 3597, 692, 825, 1219, 1265, 28804, 4311, 267, 3597, 2187, 1038, 952, 3597, 568, 7183, 610, 3597, 16000, 568, 7183, 912, 2018, 2132, 3597, 692, 1038, 2132, 1582, 26098, 28804, 20172, 16000, 2020, 7531, 29728, 815, 20724, 299, 318, 21698, 4590, 10174, 815, 7183, 692, 10174, 815, 3529, 27044, 20172, 267, 476, 1015, 994, 10174, 815, 3529, 27044, 20172, 267, 476, 736, 994, 10174, 815, 3529, 27044, 20172, 267, 476, 1789, 994, 10174, 815, 3529, 27044, 20172, 267, 476, 2412, 994, 10174, 815, 3529, 27044, 20172, 267, 476, 2004, 994, 10174, 815, 3529, 27044, 20172, 267, 476, 1839, 994, 2745, 3488, 7093, 4650, 21986, 531, 281, 3299, 3529, 269, 2181, 318, 4650, 4671, 571, 951, 531, 20172, 267, 1496, 28413, 258, 3529, 26098, 318, 4364, 1014, 20172, 994, 10174, 815, 3529, 19709, 8541, 20172, 267, 476, 736, 994, 10174, 815, 3529, 19709, 8541, 20172, 267, 476, 2412, 994, 2745, 3488, 7093, 4650, 21986, 531, 281, 3299, 3529, 269, 2181, 318, 4650, 4671, 571, 951, 531, 20172, 267, 1496, 8079, 2020, 0, 3698, 19467, 4671, 6851, 9078, 1235, 17338, 318, 3847, 267, 1592, 318, 2431, 2187, 825, 1948, 7981, 2013, 281, 835, 610, 1312, 540, 8638, 616, 8900, 454, 825, 952, 7003, 17338, 318, 3847, 264, 2652, 476, 271, 912, 1038, 2132, 1592, 318, 2431, 454, 825, 8640, 7003, 17338, 318, 2431, 264, 2652, 476, 271, 912, 1038, 2132, 1592, 318, 3847, 692, 825, 1775, 815, 795, 815, 476, 271, 454, 825, 1592, 318, 1067, 3022, 815, 32582, 476, 1948, 1592, 547, 1628, 543, 2132, 454, 825, 7003, 4671, 13759, 815, 7003, 17338, 318, 3847, 264, 1341, 7003, 17338, 318, 2431, 994, 825, 1247, 7003, 17338, 318, 1067, 3022, 264, 2999, 7003, 4671, 13759, 912, 1038, 952, 1592, 318, 3847, 5157, 316, 10922, 1592, 318, 2431, 14728, 14158, 2018, 1592, 318, 1067, 3022, 6910, 17338, 318, 3847, 5157, 7481, 2018, 1775, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1592, 318, 1067, 3022, 6910, 17338, 318, 2431, 14728, 7481, 2018, 795, 6834, 476, 272, 692, 1038, 1948, 1403, 649, 616, 693, 519, 1439, 540, 835, 540, 519, 8638, 649, 666, 1175, 16289, 519, 14230, 540, 519, 1592, 454, 1038, 952, 795, 2652, 7003, 17338, 318, 2431, 2187, 2018, 1592, 318, 1067, 3022, 6834, 1592, 318, 3847, 5157, 281, 2639, 2018, 2736, 454, 1038, 8640, 1775, 2652, 7003, 17338, 318, 3847, 2187, 2018, 1592, 318, 1067, 3022, 6834, 1592, 318, 2431, 14728, 281, 2639, 2018, 2736, 692, 825, 2132, 1592, 318, 1067, 3022, 7531, 3698, 19467, 5334, 677, 9272, 8217, 2187, 825, 952, 7003, 9272, 8217, 264, 10922, 476, 272, 912, 1038, 2132, 3403, 8217, 454, 825, 3116, 912, 1038, 4571, 815, 7003, 9272, 8217, 264, 12262, 476, 273, 454, 1038, 2451, 267, 1318, 815, 3403, 8217, 11468, 13232, 3910, 3403, 8217, 314, 13232, 281, 2639, 1038, 2132, 19467, 4671, 6851, 9078, 1235, 263, 1067, 613, 5334, 677, 263, 3847, 1070, 19467, 5334, 677, 263, 2431, 264, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 3488, 26161, 19467, 4990, 5073, 825, 1820, 263, 1067, 613, 5334, 677, 8443, 280, 267, 476, 276, 267, 476, 278, 267, 476, 273, 267, 476, 277, 267, 476, 274, 267, 476, 276, 267, 476, 272, 267, 476, 275, 28413, 825, 1820, 263, 1067, 613, 5334, 677, 8443, 262, 874, 2541, 3299, 1412, 1504, 773, 3299, 1412, 928, 334, 3299, 1412, 20625, 11172, 4917 ]

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

[ 10959, 267, 610, 5528, 543, 1352, 786, 20630, 1022, 4305, 269, 634, 10297, 616, 8854, 269, 2701, 6487, 875, 547, 1451, 267, 1018, 1568, 585, 1200, 267, 543, 1352, 814, 519, 6015, 547, 2648, 9887, 269, 0, 289, 6195, 910, 3778, 1280, 8866, 2807, 2252, 596, 4001, 1686, 540, 1022, 1974, 1862, 9767, 991, 713, 3135, 2336, 295, 1343, 2201, 3778, 281, 3778, 585, 8866, 268, 18917, 3135, 540, 7317, 4245, 281, 9147, 267, 2622, 267, 3864, 3778, 454, 289, 6195, 910, 3778, 910, 2622, 12668, 281, 13571, 7412, 570, 3402, 14044, 12875, 454, 289, 6195, 910, 3778, 1280, 8866, 1862, 3198, 312, 4116, 945, 11414, 1686, 2115, 713, 3135, 2336, 13328, 12668, 281, 2622, 2782, 2290, 570, 3402, 14044, 12875, 689, 18917, 3778, 454, 10454, 29017, 976, 12199, 4789, 585, 476, 7785, 1296, 267, 8108, 519, 4493, 540, 922, 2528, 267, 1893, 543, 10665, 4799, 22828, 540, 1579, 1407, 11571, 4728, 476, 1001, 275, 3390, 540, 18917, 3778, 454, 257, 297, 2033, 1530, 2096, 712, 267, 513, 4487, 540, 5883, 3751, 8361, 24163, 267, 1510, 1864, 16734, 621, 27324, 11571, 3144, 689, 513, 4728, 476, 1001, 275, 3390, 540, 18917, 3778, 18225, 563, 289, 6195, 910, 3778, 281, 9147, 3778, 538, 3829, 454, 289, 6195, 910, 3778, 1280, 8866, 910, 4789, 910, 519, 13804, 320, 14295, 320 ]

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

[ 9824, 725, 1222, 1063, 10748, 328, 6248, 32437, 543, 570, 11624, 623, 3558, 538, 570, 11624, 14904, 281, 29362, 883, 519, 31469, 540, 570, 11624, 19087, 2668, 12813, 5308, 2290, 269, 476, 278, 630, 275, 2567, 552, 4097, 279, 4281, 269, 645, 756, 13892, 281, 1001, 273, 12195, 334, 12569, 1862, 278, 4097, 279, 4281, 306, 269, 8222, 281, 1015, 269, 15389, 272, 10768, 16067, 4877, 821, 269, 19740, 4366, 278, 279, 269, 6751, 290, 476, 28590, 4817, 275, 274, 269, 20163, 476, 18597, 26482, 5392, 563, 5278, 2550, 3442, 547, 1205, 3238, 538, 968, 339, 11624, 1427, 20995, 2223, 799, 3322, 9849, 513, 3926, 538, 519, 10772, 602, 2488, 25695, 2575, 610, 6846, 267, 2059, 609, 18460, 13508, 269, 634, 3804, 568, 547, 948, 707, 1560, 543, 2634, 1451, 547, 1205, 26224, 547, 13046, 6846, 267, 799, 6971, 707, 2942, 6547, 547, 13311, 4992, 269, 8081, 543, 13508, 1282, 519, 1184, 666, 581, 5363, 585, 4227, 4160, 269, 12824, 616, 1631, 1565, 811, 827, 519, 2640, 540, 17396, 5042, 8965, 3797, 7459, 547, 948, 1521, 11605, 2404, 609, 13046, 269, 630, 274, 994, 5278, 2550, 2243, 519, 1871, 540, 5574, 602, 2887, 2110, 540, 606, 6207, 10826, 269, 11083, 288, 11099, 2550, 1058, 798, 3388, 2009, 547, 24390, 519, 11411, 540, 13046, 2394, 513, 17046, 10826, 568, 1336, 269, 1323, 3617, 21658, 949, 581, 519, 946, 540, 16481, 1575, 19745, 523, 585, 513, 15677, 269, 25592, 1575, 19745, 523, 3294, 1281, 711, 10826, 519, 5817, 2014, 540, 1034, 14331, 267, 855, 621, 1281, 2569, 519, 1928, 602, 2306, 14331, 1745, 865, 1659, 995, 269, 19452, 267, 519, 1034, 2500, 13046, 2126, 2645, 2232, 519, 3344, 540, 13046, 602, 865, 1419, 1118, 519, 2783, 1745, 24675, 727, 281, 4160, 267, 2566, 267, 1514, 10072, 267, 3280, 8417, 267, 6217, 7965, 267, 543, 9228, 4320, 563, 307, 11624, 2356, 2501, 538, 519, 1106, 540, 513, 1164, 1790, 17097, 3159, 538, 835, 610, 1312, 10772, 267, 855, 666, 849, 3280, 899, 513, 14467, 267, 887, 2130, 610, 945, 657, 3107, 3280, 269, 2755, 13046, 3884, 1405, 4628, 6956, 267, 621, 568, 1634, 547, 581, 513, 1129, 602, 1945, 568, 4636, 538, 519, 17391, 1062, 281, 519, 1274, 267, 519, 17391, 8229, 602, 13462, 519, 6418, 1274, 547, 519, 2634, 267, 610, 519, 2694, 540, 519, 2634, 602, 1184, 3280, 269, 23985, 607, 2241, 607, 513, 4062, 540, 1274, 342, 1314, 17527, 519, 1274, 12324, 666, 2014, 13046, 267, 855, 621, 666, 849, 8451, 689, 513, 1297, 540, 1072, 2175, 269, 1280, 1383, 267, 950, 10444, 2281, 538, 519, 6418, 1274, 616, 8697, 689, 10978, 6846, 267, 519, 4611, 6217, 2530, 2242, 930, 540, 519, 6786, 538, 519, 2634, 547, 2014, 13046, 563, 2026, 609, 519, 1101, 3635, 267, 1118, 2386, 596, 2461, 6899, 543, 12691, 547, 581, 22841, 269, 3767, 4952, 3054, 6028, 713, 4055, 269, 1411, 3802, 856, 540, 519, 7450, 543, 1246, 513, 2619, 2507, 693, 519, 1439, 540, 519, 2619, 568, 1776, 7450, 269, 1411, 1930, 602, 7450, 543, 3330, 596, 1294, 513, 4190, 4677, 1107, 596, 666, 5873, 5017, 13465, 267, 1453, 4730, 12341, 538, 519, 3845, 269, 1411, 1745, 513, 3579, 30089, 593, 707, 2960, 543, 5873, 519, 15309, 548, 540, 3762, 998, 519, 4054, 269, 634, 15437, 540, 519, 3762, 267, 3039, 267, 4154, 267, 2699, 267, 782, 7544, 2066, 513, 4190, 11432, 538, 519, 1647, 2507, 607, 596, 3802, 936, 547, 519, 11432, 267, 596, 1745, 519, 2571, 6371, 896, 707, 11953, 3952, 2507, 596, 16702, 707, 19462, 883, 519, 9350, 267, 2312, 11432, 543, 3247, 585, 513, 4090, 1107, 1175, 7680, 519, 5898, 540, 3388, 1472, 596, 7498, 4407, 972, 949, 581, 513, 2647, 2039, 540, 3123, 267, 606, 1271, 5817, 3815, 585, 519, 1646, 540, 13046, 568, 2634, 29010, 269, 276, 267, 278, 901, 3959, 2636, 519, 2634, 547, 1689, 543, 3082, 267, 543, 621, 568, 1898, 547, 875, 649, 1451, 269, 10251, 267, 538, 930, 2665, 267, 971, 607, 609, 6217, 2530, 267, 519, 17391, 851, 540, 519, 2634, 949, 581, 12012, 607, 2634, 29010, 13290, 547, 22771, 585, 519, 9402, 17391, 11378, 269, 901, 3210, 5012, 547, 2242, 538, 2634, 2534, 538, 519, 17391, 1062, 630, 324, 3052, 1421, 519, 17391, 16794, 264, 602, 666, 1711, 513, 943, 656, 558, 829, 1061, 281, 13046, 269, 1306, 971, 267, 1247, 13046, 949, 2253, 513, 1966, 693, 519, 17391, 13020, 344, 267, 621, 26251, 1317, 540, 2242, 2429, 519, 17391, 1062, 269, 6164, 532, 13046, 949, 2154, 5466, 1312, 519, 4384, 1807, 630, 324, 3052, 1421, 6217, 2530, 264, 543, 519, 9920, 630, 577, 5190, 538, 519, 17391, 2634, 1916, 8138, 11187, 13046, 568, 519, 1034, 1455, 1826, 543, 6589, 585, 476, 4817, 2600, 540, 2665, 269, 8307, 596, 666, 5873, 621, 543, 621, 779, 2356, 3361, 676, 4598, 547, 7050, 6846, 269, 898, 666, 2408, 10393, 543, 949, 2063, 1614, 3275, 630, 659, 1393, 264, 547, 476, 1321, 3275, 630, 11357, 659, 1393, 1070, 610, 3476, 269, 4427, 11187, 13046, 568, 1419, 10483, 676, 6217, 2530, 1813, 547, 4552, 1591, 8229, 3441, 269, 634, 10335, 540, 2589, 9775, 689, 3461, 547, 3461, 267, 543, 7361, 5673, 593, 707, 5114, 547, 519, 6846, 563, 7021, 519, 2063, 476, 2412, 1296, 540, 8156, 2550, 7092, 689, 13046, 267, 972, 779, 1044, 835, 936, 519, 4831, 6646, 602, 814, 3254, 519, 6574, 9153, 269, 2755, 621, 3085, 1406, 1683, 8323, 585, 3025, 267, 594, 3136, 547, 1294, 606, 476, 9262, 260, 12117, 2557, 538, 1250, 2550, 269, 634, 2126, 267, 799, 1281, 711, 2154, 513, 13310, 267, 568, 1634, 607, 570, 11624, 6513, 543, 568, 2139, 2228, 693, 5291, 2517, 4178, 6745, 11624, 31553, 2593, 454, 2419, 4474, 3465, 18587, 267, 744, 12839, 5709, 725, 543, 5253, 5410, 14476, 269, 6884, 519, 2014, 540, 13046, 568, 513, 13310, 630, 7945, 607, 606, 15084, 1070, 606, 936, 519, 4831, 6646, 610, 513, 1426, 19605, 269, 1306, 606, 1383, 267, 1079, 1360, 1455, 1095, 18587, 602, 723, 1044, 3254, 547, 2014, 13046, 616, 844, 24100, 543, 8392, 29783, 267, 799, 616, 1312, 1031, 547, 2061, 13663, 269, 15742, 1019, 675, 9455, 543, 2860, 6527, 666, 849, 2014, 13046, 269, 4634, 1945, 607, 2241, 607, 744, 12839, 29469, 666, 5352, 13046, 538, 930, 1004, 269, 634, 1426, 21187, 25326, 571, 306, 11548, 267, 590, 680, 12629, 543, 1306, 4820, 877, 723, 782, 1044, 5532, 547, 13046, 267, 543, 513, 2898, 3984, 540, 824, 2427, 2360, 267, 538, 4791, 2090, 269, 1452, 812, 13402, 1426, 21187, 1058, 581, 17515, 689, 707, 2732, 4625, 269, 1403, 1022, 540, 707, 6527, 616, 4929, 707, 13046, 267, 707, 4387, 949, 4363, 16069, 267, 4227, 610, 15175, 873, 856, 585, 824, 11955, 547, 1294, 952, 602, 2337, 10826, 707, 13046, 563, 5804, 10838, 519, 1082, 5574, 585, 13046, 267, 596, 2461, 1978, 547, 1265, 513, 3070, 602, 2337, 596, 2661, 513, 811, 6899, 1272, 267, 1863, 540, 519, 17140, 540, 13046, 269, 4014, 513, 17046, 10826, 568, 711, 4867, 2139, 267, 891, 2645, 666, 948, 596, 4383, 707, 13046, 543, 7413, 922, 3310, 593, 707, 1272, 269, 1403, 596, 960, 5702, 609, 606, 4810, 13046, 11285, 267, 789, 666, 948, 596, 3313, 799, 1576, 540, 2962, 568, 1655, 585, 596, 563, 7197, 1004, 945, 7985, 689, 13046, 849, 1995, 6217, 2530, 547, 930, 4110, 269, 1306, 789, 1419, 13173, 835, 1776, 267, 519, 1079, 2175, 949, 581, 17047, 269, 769, 1249, 267, 930, 3173, 3494, 602, 16148, 13046, 666, 1152, 2049, 952, 519, 17391, 1062, 814, 1044, 5892, 8697, 630, 25899, 1040, 634, 2530, 540, 1978, 3280, 12451, 1813, 547, 6217, 2530, 949, 1689, 875, 519, 2634, 3157, 3280, 267, 4929, 621, 547, 3082, 543, 6445, 538, 519, 10616, 609, 13046, 269, 634, 5817, 6217, 2530, 3335, 2164, 689, 4598, 547, 10978, 21089, 610, 4359, 2085, 912, 32546, 3494, 602, 13046, 568, 2404, 609, 8849, 630, 28090, 543, 8229, 264, 7063, 602, 1860, 519, 17391, 13374, 543, 4061, 2576, 779, 2702, 547, 5873, 4992, 269, 630, 1015, 264, 4107, 540, 519, 942, 267, 13046, 568, 513, 1267, 540, 513, 4524, 602, 5540, 2694, 540, 2901, 519, 9018, 267, 6418, 610, 1647, 1274, 269, 634, 1434, 3377, 568, 602, 519, 5354, 540, 2665, 616, 711, 5532, 547, 1022, 3978, 4576, 267, 4352, 930, 2665, 616, 563, 307, 11624, 24412, 723, 6836, 1082, 4244, 11257, 855, 1419, 547, 1100, 1992, 269, 2368, 723, 4862, 540, 1967, 2984, 5473, 519, 946, 540, 1978, 8324, 267, 6886, 267, 16909, 21339, 267, 610, 1256, 513, 1689, 538, 2732, 267, 855, 1419, 1705, 711, 1995, 2123, 1967, 538, 8156, 13046, 1210, 971, 3681, 269, 10251, 267, 1100, 2090, 547, 4266, 723, 1044, 2111, 547, 12314, 971, 5574, 547, 1022, 1483, 2640, 269, 2755, 1454, 540, 519, 4540, 1382, 723, 1044, 6131, 547, 4543, 721, 1174, 13046, 543, 922, 1696, 8344, 24598, 25751, 267, 972, 616, 4867, 1360, 1906, 5574, 602, 616, 24802, 24019, 269, 2986, 519, 1906, 602, 5342, 4791, 2090, 547, 6218, 519, 7145, 267, 1034, 1705, 711, 946, 11826, 4791, 2409, 971, 607, 9013, 585, 21897, 2360, 610, 5595, 15918, 4193, 547, 2327, 519, 8699, 540, 519, 1239, 543, 547, 9004, 1022, 2959, 540, 9186, 269, 570, 11624, 24412, 945, 1569, 971, 5574, 1419, 798, 711, 1995, 8323, 689, 741, 13046, 269, 1306, 513, 1267, 267, 13046, 24412, 1419, 1995, 10539, 267, 17140, 267, 513, 2530, 540, 4126, 267, 543, 25949, 1310, 2348, 16539, 942, 543, 2724, 593, 2139, 2126, 3681, 563, 303, 6160, 8684, 13046, 568, 513, 4686, 1826, 540, 13046, 602, 4992, 899, 513, 24754, 24421, 532, 538, 519, 1274, 267, 2356, 538, 942, 609, 707, 26470, 269, 589, 4387, 949, 581, 2111, 547, 5873, 621, 676, 10296, 513, 588, 996, 24005, 1996, 707, 8405, 610, 676, 11093, 513, 6263, 28416, 3330, 519, 1274, 12324, 269, 901, 2186, 540, 13046, 568, 1034, 1419, 3361, 676, 2042, 609, 1973, 2095, 538, 519, 2212, 610, 8405, 269, 623, 6160, 8684, 13046, 849, 949, 581, 3361, 676, 2634, 12970, 610, 17244, 538, 2634, 2497, 563, 4407, 13046, 568, 607, 9867, 607, 922, 3123, 267, 621, 666, 581, 19882, 883, 1079, 6688, 281, 512, 4689, 543, 1875, 268, 2023, 531, 269, 570, 4689, 13046, 568, 811, 1455, 543, 6257, 519, 8226, 540, 513, 2282, 9762, 514, 6681, 3280, 610, 20718, 4992, 609, 513, 1134, 20452, 4908, 630, 324, 3052, 1421, 627, 626, 1782, 267, 30366, 267, 18388, 532, 1040, 6348, 268, 2023, 531, 3029, 540, 13046, 1331, 23832, 267, 14467, 267, 11523, 1782, 267, 543, 678, 22824, 563, 17556, 1597, 1684, 20482, 267, 11022, 267, 568, 513, 772, 2529, 269, 4604, 2275, 1068, 1881, 17073, 6925, 4284, 6509, 269, 3220, 269, 1684, 20482, 4607, 1010, 15938, 4110, 538, 5053, 689, 519, 2160, 540, 12548, 693, 645, 30629, 269, 1261, 21783, 609, 1010, 6481, 23422, 689, 519, 2160, 2986, 12548, 2657, 7070, 4741, 538, 28631, 267, 12548, 538, 476, 1960, 279, 543, 6192, 1010, 32031, 2866, 538, 17073, 6925, 689, 28631, 2657, 6481, 4741, 538, 28631, 267, 12548, 538, 476, 1220, 273, 267, 1141, 646, 849, 6039, 607, 12751, 1763, 1211, 563, 6097, 547, 519, 1977, 570, 11624, 5948, 267, 1034, 2665, 540, 13046, 616, 3361, 676, 6217, 2530, 269, 12769, 31531, 1498, 267, 13046, 568, 3361, 676, 606, 16698, 547, 519, 17391, 1062, 269, 570, 11624, 666, 3006, 581, 513, 10835, 540, 513, 1966, 609, 519, 9389, 558, 663, 24212, 4745, 630, 26774, 297, 1040, 1403, 707, 13046, 568, 3361, 676, 25633, 297, 267, 1287, 513, 5959, 5650, 610, 1483, 9892, 540, 707, 11116, 949, 13468, 519, 1966, 563, 21675, 540, 519, 5817, 3119, 4524, 949, 948, 547, 2087, 610, 10826, 24754, 13046, 269, 1280, 1383, 267, 519, 2126, 540, 1973, 6077, 4713, 630, 324, 3052, 269, 546, 1116, 12091, 328, 8576, 748, 695, 2863, 338, 264, 666, 1331, 1978, 6527, 610, 6391, 269, 589, 10551, 5650, 1634, 607, 18980, 3774, 16646, 666, 6707, 1521, 24421, 8684, 13046, 1813, 547, 521, 31451, 18980, 31818, 545, 4918, 543, 632, 327, 4593, 775, 269, 769, 1249, 267, 1034, 2043, 723, 4810, 2347, 6571, 540, 741, 13046, 1739, 713, 6391, 269, 17889, 949, 849, 581, 2556, 585, 4686, 2665, 540, 24421, 8684, 13046, 3361, 676, 513, 10510, 563, 763, 5354, 540, 2665, 540, 13046, 616, 16148, 269, 20638, 13046, 568, 2484, 1447, 1455, 269, 1717, 267, 513, 5868, 540, 6662, 13046, 568, 13615, 547, 875, 2182, 543, 1134, 519, 6662 ]

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

[ 2916, 676, 9870, 2518, 5210, 563, 26794, 1299, 32539, 7849, 13937, 22436, 3040, 2859, 13476, 7874, 3040, 4258, 1653, 982, 17405, 3040, 15822, 569, 6740, 543, 14616, 3040, 31418, 1176, 16487, 3040, 3509, 2067, 2200, 1869, 896, 8246, 7849, 13937, 32539, 3040, 12456, 1645, 547, 5117, 3040, 6348, 3146, 2908, 762, 4199, 3040, 4400, 569, 1166, 30100, 3040, 8779, 569, 6283, 3040, 4107, 1455, 2014, 540, 12539, 3933, 6448, 7972, 454, 26794, 1299, 32539, 13813, 22436, 3040, 6153, 2997, 22355, 3040, 15020, 3608, 3040, 31418, 1176, 7856, 3040, 769, 19763, 3040, 31418, 1176, 12318, 1043, 13813, 32539, 3040, 6348, 3146, 2908, 762, 267, 3728, 15723, 1154, 3040, 13813, 29908, 3040, 5262, 2159, 547, 22120, 3040, 12313, 568, 8375, 3040, 1234, 548, 1162, 12539, 667, 8610, 728, 454, 12749, 476, 276, 13813, 1763, 12883, 538, 519, 2622, 13474, 263, 553, 540, 476, 1001, 271, 264, 3040, 18142, 17936, 3040, 4516, 3040, 9459, 3040, 12925, 3040, 918, 17703, 7159, 476, 1691, 269, 2136, 2276, 1763, 12883, 6357, 11669, 29054, 264, 3040, 476, 28796, 269, 280, 3040, 476, 11260, 269, 273, 3040, 476, 15389, 269, 277, 3040, 476, 12893, 269, 271, 3040, 476, 6200, 269, 276, 3040, 476, 866, 269, 273, 454, 12749, 476, 276, 7849, 13937, 1763, 12883, 13474, 630, 553, 540, 476, 1001, 271, 264, 3040, 6576, 3040, 9459, 3040, 1627, 20345, 3040, 18142, 17936, 3040, 2136, 2276, 1763, 12883, 630, 23871, 11669, 10699, 545, 32243, 264, 3040, 476, 12739, 271, 269, 271, 3040, 476, 4200, 272, 269, 277, 3040, 476, 8660, 272, 269, 280, 3040, 476, 28670, 269, 276, 3040, 476, 26801, 269, 278, 20587, 540, 2622, 11192, 3040, 476, 2918, 269, 280, 260, 3040, 476, 1428, 269, 280, 260, 3040, 476, 1691, 269, 274, 260, 3040, 476, 275, 269, 272, 260, 3040, 476, 274, 269, 279, 14999, 4537, 1446, 3040, 1744, 1446, 1107, 513, 1895, 540, 5386, 3766, 11712, 267, 22495, 730, 24348, 7725, 9967, 540, 10036, 13355, 5536, 543, 521, 2830, 269, 3040, 681, 5699, 476, 2568, 260, 540, 24348, 4224, 5161, 540, 32549, 269, 3040, 4014, 649, 4867, 1349, 1804, 5666, 540, 8093, 10173, 267, 1454, 3788, 16290, 538, 519, 32549, 269, 3040, 3220, 3739, 3549, 723, 1500, 8441, 538, 23232, 2409, 540, 519, 3282, 543, 2067, 3154, 16290, 538, 519, 6263, 22405, 540, 32549, 269, 3040, 901, 6602, 1223, 835, 1554, 1118, 32549, 513, 10853, 2707, 540, 4492, 563, 11045, 569, 31700, 3040, 3776, 2197, 779, 13829, 593, 8093, 10173, 4229, 721, 547, 2149, 4914, 2959, 540, 3282, 269, 4438, 519, 14655, 13323, 2782, 267, 772, 2529, 269, 10136, 941, 2366, 547, 9856, 1996, 513, 2009, 2759, 4752, 540, 938, 3761, 269, 9291, 687, 540, 9489, 941, 6170, 538, 602, 2112, 543, 1082, 2729, 941, 4503, 269, 3040, 634, 3804, 540, 519, 4457, 2229, 568, 547, 1020, 741, 2197, 547, 513, 1377, 1141, 1169, 7622, 814, 513, 1286, 269, 2859, 982, 519, 1158, 779, 2698, 3282, 2504, 1131, 581, 2838, 538, 1931, 547, 4492, 873, 782, 269, 1403, 713, 941, 547, 4755, 267, 519, 5777, 1131, 865, 541, 593, 713, 3908, 4199, 563, 289, 9560, 2762, 3040, 29216, 613, 2131, 3820, 3040, 6052, 26810, 28022, 10993, 3040, 24601, 514, 24479, 3820, 3040, 14136, 324, 10276, 25489, 2593, 3040, 3163, 269, 6011, 560, 4428, 4103, 2593, 3040, 25024, 14537, 15258, 3820, 3040, 8585, 26713, 268, 19986, 3122, 2593, 3040, 11370, 14794, 2593, 3040, 3647, 24142, 2593, 3040, 772, 14369, 25901, 3820, 3040, 25115, 933, 2125, 2593, 3040, 2382, 26623, 4078, 333, 1458, 516, 14142, 3820, 3040, 6052, 275, 1889, 3820, 3040, 634, 514, 2617, 566, 10972, 2456, 2593, 3040, 13574, 328, 4318, 340, 3040, 645, 542, 5669, 325, 3241, 2593, 3040, 26361, 9008, 572, 4038, 2593, 3040, 4432, 332, 327, 32231, 12975, 0, 289, 3291, 11297, 568, 513, 4984, 602, 12090, 538, 3504, 3127, 543, 814, 1044, 13736, 585, 936, 476, 273, 267, 4335, 1296, 269, 898, 568, 1759, 593, 519, 10752, 540, 590, 1342, 9618, 15925, 717, 2246, 4821, 267, 945, 2968, 1634, 607, 519, 17700, 610, 968, 523, 2775, 2989, 835, 1848, 3371, 616, 930, 4749, 4280, 2055, 827, 13221, 563, 304, 281, 1548, 616, 519, 2596, 4978, 540, 13221, 888, 288, 281, 634, 9050, 32201, 18266, 338, 1106, 519, 5748, 540, 14418, 3661, 269, 1358, 616, 912, 272, 264, 5020, 568, 7092, 563, 273, 264, 22206, 1359, 14340, 689, 7287, 563, 274, 264, 1677, 1439, 7092, 267, 649, 1590, 9004, 7287, 563, 275, 264, 634, 1259, 547, 9004, 7287, 568, 547, 1246, 519, 20640, 19507, 11202, 563, 1103, 1840, 267, 6844, 327, 1235, 3494, 538, 737, 12609, 543, 32193, 1107, 602, 938, 3527, 723, 4539, 543, 602, 649, 786, 581, 6450, 1941, 883, 1776, 1272, 1759, 593, 938, 2623, 538, 713, 835, 563, 304, 281, 1684, 6844, 327, 1235, 10847, 513, 5601, 888, 288, 281, 3143, 267, 13221, 1281, 711, 723, 513, 3844, 25976, 547, 10847, 269, 5502, 267, 621, 6212, 593, 2123, 5289, 1646, 998, 9066, 543, 5683, 2713, 563, 304, 281, 1548, 568, 715, 597, 341, 3570, 888, 288, 281, 715, 597, 341, 3570, 568, 519, 10700, 3804, 540, 14418, 2259, 1107, 513, 1533, 540, 21481, 1141, 835, 31267, 5191, 689, 7092, 543, 32193, 269, 898, 568, 1419, 4330, 607, 513, 1533, 540, 3501, 4708, 543, 1620, 563, 304, 281, 1215, 798, 6844, 327, 1235, 1199, 10028, 888, 288, 281, 1703, 616, 1082, 1114, 3029, 540, 9066, 538, 13221, 267, 855, 1034, 4125, 2519, 593, 519, 7362, 610, 606, 1843, 971, 607, 513, 16051, 571, 610, 3239, 269, 634, 3804, 568, 547, 9602, 519, 2247, 543, 1020, 5834, 543, 11009, 563, 304, 281, 3657, 972, 1114, 3506, 540, 13221, 888, 288, 281, 8786, 267, 972, 616, 1896, 2101, 8371, 540, 13221, 1519, 634, 9545, 3385, 630, 11398, 5631, 538, 14913, 5607, 1070, 10067, 27011, 630, 11398, 5631, 538, 3624, 267, 3567, 267, 543, 9705, 1070, 966, 1690, 2001, 3570, 630, 11398, 5631, 538, 17230, 1070, 543, 24789, 630, 320, 5545, 1153, 1916, 304, 281, 2052, 4896, 1831, 513, 14418, 888, 288, 281, 8786, 256, 25175, 666, 2259, 13221, 7488, 540, 741, 4282, 610, 4978, 269, 3509, 1004, 1265, 602, 519, 10752, 543, 2853, 540, 13221, 666, 581, 5363, 538, 7231, 609, 2566, 267, 4160, 267, 543, 824, 2591, 538, 1272, 563, 304, 281, 1684, 6844, 327, 1235, 3494, 538, 1514, 5126, 888, 288, 281, 8786, 267, 1082, 6844, 327, 1235, 616, 3742, 538, 1514, 5126, 3123, 971, 607, 2825, 1143, 267, 1480, 2924, 267, 543, 32593, 775, 269, 634, 14418, 1523, 540, 968, 2431, 2962, 892, 11363, 5683, 2623, 543, 8296, 585, 782, 7919, 563, 1103, 3932, 267, 13221, 568, 513, 3638, 543, 1950, 4984, 602, 3091, 513, 2619, 547, 2123, 2208, 543, 21481, 269, 6787, 596, 616, 5461, 538, 9066, 610, 1175, 8049, 827, 1114, 5289, 5389, 267, 972, 568, 1454, 547, 1451, 689, 713, 3504, 7326, 269 ]

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

[ 547, 8207, 519, 2627, 540, 519, 7599, 563, 3963, 1281, 621, 2339, 286, 12465, 8254, 543, 16263, 14485, 616, 4439, 5652, 543, 5230, 267, 1767, 2473, 532, 329, 773, 15281, 267, 7222, 2278, 540, 513, 1353, 538, 30594, 16707, 269, 4400, 14617, 24985, 1522, 723, 5394, 267, 23756, 4837, 14485, 476, 1789, 3952, 538, 8006, 563, 1692, 1281, 621, 960, 286, 3571, 2319, 779, 5647, 3096, 968, 333, 8457, 3613, 23461, 593, 519, 7828, 3079, 540, 22441, 547, 26048, 1769, 2223, 799, 2636, 873, 547, 581, 25182, 267, 14402, 267, 543, 6366, 269, 634, 24282, 3557, 7828, 568, 2965, 513, 865, 10777, 4496, 839, 267, 513, 2582, 4062, 540, 6094, 267, 2312, 14041, 4806, 539, 609, 6289, 665, 15009, 1023, 269, 7085, 9014, 17253, 4496, 5151, 723, 1044, 2919, 1354, 269, 634, 24282, 3557, 2319, 17408, 8898, 519, 5663, 1505, 547, 3132, 513, 476, 275, 20878, 17253, 7828, 2443, 1454, 3677, 982, 3105, 1806, 855, 1454, 4130, 982, 2757, 16263, 14485, 269, 0, 31819, 827, 8930, 23346, 14296, 596, 1058, 917, 454, 303, 514, 23346, 14296, 616, 12777, 14296, 602, 2097, 609, 6263, 9475, 533, 12097, 998, 519, 14485, 269, 1358, 616, 3622, 1031, 547, 948, 2087, 930, 31659, 6959, 538, 707, 4064, 269, 1358, 960, 676, 31364, 519, 4064, 689, 9940, 1769, 12345, 267, 799, 666, 1253, 677, 835, 781, 5075, 269, 16685, 7189, 3277, 547, 8930, 23346, 14296, 607, 1945, 602, 6971, 519, 834, 4565, 584, 5858, 257, 593, 519, 22100, 781, 1394, 563, 19894, 14296, 543, 3346, 14485, 616, 1114, 689, 8930, 23346, 14296, 269, 634, 5449, 2953, 338, 5075, 676, 10655, 1769, 12345, 10024, 519, 4064, 543, 3850, 873, 547, 27721, 609, 519, 22100, 269, 11531, 267, 519, 8545, 7182, 519, 2179, 540, 1769, 2469, 883, 707, 4064, 269, 901, 6087, 1004, 547, 1294, 5693, 269, 4746, 267, 8930, 23346, 14296, 798, 711, 2097, 609, 3750, 9344, 267, 865, 4896, 666, 4444, 543, 946, 873, 269, 1717, 267, 621, 1522, 581, 6225, 547, 917, 519, 2470, 543, 3483, 540, 891, 2363, 1122, 28904, 1354, 9140, 873, 563, 12234, 267, 972, 616, 824, 7355, 596, 1590, 2015, 1354, 1210, 8930, 23346, 14296, 269, 1306, 1585, 6811, 540, 7145, 540, 891, 14296, 991, 2417, 2090, 267, 621, 666, 581, 6225, 547, 2697, 519, 3344, 1141, 789, 666, 581, 5363, 1354, 10115, 538, 835, 563, 2710, 8930, 23346, 14296, 2087, 5075, 888, 1103, 930, 2665, 267, 8930, 23346, 14296, 616, 1031, 547, 13468, 4230, 25634, 1143, 610, 683, 1513, 32484, 1145, 269, 3958, 267, 930, 3750, 7189, 4196, 607, 519, 3119, 3755, 269, 1358, 1419, 946, 891, 14296, 607, 513, 10368, 6293, 547, 2697, 1022, 5075, 23043, 563, 2467, 568, 1869, 2370, 2963, 547, 1489, 519, 6811, 540, 8930, 23346, 14296, 269, 769, 930, 2665, 267, 8930, 23346, 14296, 666, 2087, 32416, 952, 1031, 538, 4999, 609, 930, 3750, 5751, 269, 18237, 23346, 14296, 666, 2087, 835, 781, 5075, 17303, 269, 1703, 1522, 711, 723, 4791, 2963, 593, 713, 267, 855, 930, 1004, 946, 891, 14296, 585, 513, 1808, 2179, 540, 1826, 538, 513, 1554, 563, 2005, 666, 849, 581, 4502, 15663, 602, 8930, 23346, 14296, 10355, 2569, 3750, 8833, 269, 769, 1249, 267, 513, 1353, 538, 476, 1001, 278, 7000, 602, 789, 7620, 2333, 3750, 8833, 267, 2523, 952, 596, 2322, 873, 593, 1247, 2542, 610, 1210, 707, 2780, 563, 3674, 621, 2922, 547, 5957, 8930, 23346, 14296, 888, 1103, 2489, 267, 5275, 5796, 689, 606, 2363, 1815, 732, 3318, 1522, 581, 6225, 269, 901, 1259, 267, 789, 666, 2697, 519, 1697, 2126, 585, 596, 543, 2436, 596, 2731, 991, 547, 2322, 593, 8930, 23346, 14296, 269, 1306, 596, 949, 917, 267, 789, 798, 711, 10826, 1022, 3750, 2783, 282, 3079, 267, 789, 17303, 2953, 930, 8766, 5075, 23043, 563, 4407, 891, 14296, 1522, 2097, 609, 2640, 267, 789, 616, 711, 4998, 585, 9849, 538, 3232, 4247, 269, 901, 568, 1317, 15888, 1374, 8930, 23346, 14296, 547, 3625, 930, 2694, 540, 606, 1367, 781, 1463, 5075, 543, 6615, 922, 15672, 5075, 269, 1306, 513, 1267, 267, 621, 786, 2569, 519, 2179, 540, 1769, 10024, 519, 4064, 267, 799, 5555, 6971, 3308, 2298, 563, 1103, 2796, 267, 596, 1522, 1294, 513, 8325, 3239, 267, 855, 519, 3239, 666, 2408, 3897, 2094, 596, 616, 8380, 593, 8930, 23346, 14296, 269, 11242, 602, 2154, 1732, 5075, 267, 899, 6117, 267, 666, 1831, 22247, 950, 1210, 8930, 23346, 14296, 563, 19950, 5944, 267, 891, 14296, 616, 10355, 1031, 676, 2043, 2348, 5075, 23043, 269, 5502, 267, 3750, 7189, 4122, 946, 873, 269, 901, 568, 1317, 8930, 23346, 14296, 616, 1898, 547, 3927, 3313, 952, 513, 1268, 814, 930, 2042, 609, 741, 5075, 269, 18237, 23346, 14296, 616, 1031, 547, 13209, 1351, 928, 531, 23673, 610, 25942, 9711, 269, 5015, 267, 789, 666, 3648, 948, 547, 2708, 2436, 513, 1268, 609, 513, 25942, 716, 2115, 6391, 563, 763, 2640, 540, 9849, 8930, 23346, 14296, 454, 15703, 7440, 543, 14868, 3295, 519, 7145, 540, 8930, 23346, 14296, 269, 1717, 267, 972, 616, 930, 3344, 602, 5693, 3142, 2318, 2360, 547, 1346, 945, 946, 891, 14296, 269, 3371, 616, 930, 540, 873, 563, 272, 269, 1358, 948, 1004, 609, 1250, 18701, 1294, 5693, 269, 634, 2360, 540, 1250, 18701, 610, 683, 1513, 32484, 1145, 949, 581, 4389, 676, 1210, 8930, 23346, 14296, 269, 2201, 519, 824, 1688, 267, 2094, 789, 3625, 930, 1769, 12345, 267, 519, 3239, 666, 2408, 3897, 1067, 982, 519, 2834, 2298, 269, 1358, 949, 581, 5363, 547, 1346, 609, 1250, 18701, 267, 855, 789, 616, 711, 6198, 585, 3232, 946, 267, 2523, 950, 5665, 12227, 610, 6117, 563, 273, 269, 18237, 23346, 14296, 666, 581, 5363, 585, 4230, 25634, 1143, 269, 769, 4641, 267, 891, 14296, 1152, 17303, 948, 1346, 1004, 2348, 4230, 25634, 1143, 269, 5015, 267, 789, 798, 711, 18385, 2953, 3750, 12972, 269, 901, 1797, 602, 596, 786, 2132, 547, 707, 3312, 5075, 2899, 596, 1491, 873, 1055, 563, 274, 269, 1358, 616, 5363, 585, 3750, 7189, 269, 13575, 267, 2363, 1815, 732, 4648, 946, 8930, 23346, 14296, 547, 2697, 1808, 3750, 2042, 269, 1358, 1419, 946, 873, 2059, 609, 606, 29473, 863, 518, 267, 799, 568, 513, 1907, 789, 946, 547, 3382, 519, 4064, 950, 2542, 606, 3750, 5750, 563, 275, 269, 4658, 609, 1323, 597, 573, 807, 1522, 4324, 689, 891, 14296, 269, 1323, 597, 573, 807, 4016, 547, 519, 9864, 610, 2347, 9000, 540, 606, 32640, 269, 634, 32640, 568, 519, 835, 3743, 585, 9013, 519, 2179, 540, 1769, 4847, 883, 519, 4064, 269, 2060, 519, 9000, 540, 606, 32640, 267, 513, 1268, 1522, 7985, 3308, 23673, 543, 27676, 1350, 732, 267, 799, 23475, 28904, 543, 2363, 1122, 28904, 616, 540, 1100, 948, 269, 634, 8930, 23346, 14296, 3970, 519, 1769, 4947, 538, 543, 3132, 513, 1454, 20501, 5075, 563, 1692, 547, 1265, 519, 1655, 8930, 23346, 14296, 888, 1103, 1034, 2665, 267, 8930, 23346, 14296, 2097, 609, 9475, 269, 1717, 267, 621, 1522, 849, 581, 4502, 15663, 602, 519, 14604, 267, 1519, 519, 5546, 267, 666, 4268, 269, 3371, 616, 930, 2609, 596, 949, 2015, 950, 10918, 585, 8930, 23346, 14296, 563, 272, 269, 5071, 269, 6145, 519, 2834, 2363, 1122, 28904, 543, 23475, 28904, 267, 8930, 23346, 14296, 2097, 538, 1585, 6272, 269, 4107, 9755, 666, 1711, 5180, 267, 4009, 267, 610, 5929, 14604, 269, 901, 2636, 596, 547, 1869, 581, 6752, 762, 1256, 950, 9849, 891, 2010, 540, 14296, 563, 273, 269, 7822, 269, 2368, 8930, 23346, 14296, 616, 538, 1114, 4778, 269, 634, 7828, 1522, 581, 538, 7833, 3109, 267, 855, 519, 7406, 543, 4478, 519, 7828, 1223, 581, 540, 1022, 2681, 269, 14597, 596, 1904, 585, 513, 1454, 17321, 7406, 282, 596, 666, 2141, 2307, 707, 8930, 23346, 14296, 8502, 563, 274, 269, 12313, 269, 1306, 609, 1022, 824, 1587, 267, 9140, 8930, 23346, 14296, 786, 1942, 596, 930, 9489, 269, 1703, 616, 10097, 3283, 799, 596, 666, 946, 269, 898, 786, 4096, 593, 707, 6578, 267, 855, 596, 723, 547, 581, 5100, 538, 9140, 835, 269, 3502, 782, 7199, 8930, 23346, 14296, 10018, 519, 1655, 2164, 269, 2311, 519, 1482, 942, 267, 711, 782, 14949, 3283, 3668, 519, 29782, 4397, 689, 8930, 23346, 14296, 563, 275, 269, 667, 13701, 269, 13575, 267, 8930, 23346, 14296, 616, 711, 4998, 547, 946, 2094, 789, 3897, 930, 2592, 543, 2569, 741, 3308, 2298, 269, 1717, 267, 596, 1522, 1616, 547, 2708, 741, 2298, 269, 1411, 798, 711, 1616, 547, 7683, 4444, 8930, 23346, 14296, 1310, 519, 1101, 835, 568, 711, 6198, 15042, 269, 0, 2467, 616, 1896, 2009, 3123, 540, 6727, 4745, 1928, 267, 971, 607, 30456, 267, 5563, 267, 543, 4043, 514, 4345, 269, 4033, 2009, 3123, 616, 7063, 267, 971, 607, 18655, 267, 20247, 23148, 267, 838, 23230, 267, 543, 12490, 563, 306, 5844, 4745, 1928, 666, 581, 13943, 543, 1860, 513, 1268, 779, 2702, 547, 4163, 856, 3232, 4247, 563, 2252, 513, 1268, 2833, 6727, 4745, 1928, 267, 621, 949, 581, 513, 1129, 602, 789, 723, 606, 5945, 610, 2919, 513, 5312, 2783, 563, 1103, 713, 2376, 267, 649, 2491, 1018, 513, 4745, 568, 543, 7291, 930, 2009, 3123, 540, 6727, 4745, 1928, 563, 288, 4745, 568, 513, 1448, 538, 519, 1560, 1141, 1079, 7633, 2743, 269, 4107, 540, 519, 1560, 779, 10549, 616, 5985, 267, 799, 1797, 789, 1450, 519, 7633, 547, 1847, 563, 2467, 616, 1614, 2010, 540, 10549, 538, 519, 1560, 912, 268, 17316, 9317, 281, 1452, 10549, 616, 6378, 543, 616, 1419, 1799, 990, 762, 269, 1452, 1331, 519, 10549, 1063, 519, 912, 268, 10824, 538, 519, 15693, 454, 268, 7633, 538, 519, 2539, 851, 540, 519, 7916, 543, 519, 7953, 454, 268, 14295, 559, 698, 29532, 281, 1452, 616, 513, 1826, 540, 4745, 1141, 1152, 20162, 6585, 519, 7633, 1927, 269, 1452, 616, 5594, 5985, 10549, 602, 1450, 513, 1507, 2179, 540, 3350, 269, 2290, 1383, 540, 713, 1826, 540, 4745, 568, 519, 4745, 1063, 519, 1318, 543, 2451, 1435, 545, 7633, 563, 268, 14271, 990, 658, 281, 1452, 10549, 1450, 513, 2603, 540, 3350, 543, 616, 519, 1292, 6198, 10549, 540, 519, 1560, 602, 1450, 519, 17873, 543, 824, 1560, 2694, 547, 1847, 269, 1452, 10549, 4183, 513, 13570, 602, 3568, 861, 2617, 658, 5714, 267, 799, 2636, 519, 7633, 1369, 519, 4745, 547, 1847, 11884, 269, 6201, 540, 861, 2617, 658, 10549, 1331, 912, 288, 1297, 540, 2564, 2175, 610, 824, 2188, 949, 2014, 513, 1268, 547, 1995, 6727, 1928, 538, 1022, 540, 519, 10549, 563, 13349, 2589, 540, 30456, 7133, 519, 10549, 1331, 912, 268, 7920, 1928, 267, 799, 2356, 5540, 835, 4745, 693, 513, 942, 454, 268, 10549, 602, 616, 3905, 547, 5905, 454, 300, 2297, 616, 1614, 2053, 811, 2693, 982, 8951, 547, 1020, 30456, 563, 294, 719, 10953, 538, 930, 1004, 609, 1164, 579, 878, 3679, 2157, 538, 741, 4703, 269, 772, 878, 3679, 13976, 909, 950, 513, 1268, 779, 1560, 9397, 1524, 1625, 1149, 269, 8830, 1149, 616, 538, 930, 1480, 2281, 543, 1082, 3536, 269, 16639, 602, 2270, 1625, 1149, 1331, 912, 268, 2699, 5779, 454, 268, 1418, 16469, 454, 268, 930, 16872, 454, 2691, 579, 878, 3679, 13976, 909, 538, 513, 1268, 779, 1560, 267, 621, 666, 2014, 13549, 6438, 14848, 547, 1106, 269, 1452, 14848, 666, 561, 17690, 538, 10549, 267, 799, 3123, 4049, 1928, 543, 11926, 563, 4913, 267, 824, 3968, 2010, 602, 666, 2014, 23170, 12263, 454, 4322, 5563, 949, 2253, 538, 513, 11397, 851, 540, 519, 1560, 267, 971, 607, 519, 2960, 610, 519, 16063, 8778, 563, 5353, 10364, 12263, 949, 1860, 519, 4745, 538, 1082, 2081, 267, 971, 607, 912, 268, 6727, 11926, 454, 268, 10549, 602, 616, 3636, 547, 5905, 454, 268, 3908, 2039, 540, 5163, 1472, 519, 4299, 4745, 454, 288, 1268, 949, 849, 1995, 11528, 2589, 689, 519, 3968, 7133, 824, 1560, 2694, 269, 1452, 2589, 1331, 912, 307, 754, 514, 4345, 3123, 31926, 543, 1928, 538, 2127, 1472, 519, 4745, 267, 971, 607, 538, 912, 2005, 949, 2049, 10393, 267, 4929, 6727, 4745, 1928, 269, 570, 754, 514, 4345, 949, 2063, 585, 2395, 610, 513, 3476, 1974, 269, 570, 754, 514, 4345, 1928, 3587, 8338, 609, 3350, 269, 898, 2356, 10607, 1310, 1964, 610, 2126, 563, 307, 754, 514, 4345, 568, 1034, 1455, 538, 1004, 936, 519, 2085, 540, 476, 2412, 543, 9845, 563, 15703, 2188, 666, 2014, 4043, 514, 4345, 267, 1519, 912 ]

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

[ 8137, 563, 5825, 1276, 320, 267, 610, 6094, 7401, 267, 568, 5423, 609, 5111, 476, 272, 269, 4037, 10101, 630, 26920, 532, 547, 476, 272, 269, 276, 646, 12686, 669, 1662, 27495, 1085, 17274, 267, 610, 827, 3368, 513, 23188, 264, 540, 6474, 320, 543, 5111, 476, 4037, 16720, 630, 273, 269, 276, 12063, 264, 540, 3905, 1216, 829, 7674, 267, 799, 666, 581, 31953, 539, 547, 3132, 8389, 628, 610, 711, 267, 2687, 547, 519, 4235, 518, 781, 13283, 630, 528, 547, 519, 5389, 540, 519, 1880, 1153, 540, 7401, 1040, 2974, 1276, 320, 5932, 513, 14402, 543, 5594, 811, 15280, 7401, 563, 16675, 7401, 267, 2705, 267, 568, 2808, 547, 723, 12090, 538, 3624, 269, 898, 568, 1767, 602, 1256, 2221, 519, 2262, 968, 974, 320, 892, 538, 3624, 4016, 1152, 547, 3039, 7401, 267, 711, 547, 519, 2489, 7121, 540, 7401, 607, 621, 1281, 538, 519, 4639, 269, 3624, 779, 962, 18365, 534, 11662, 568, 2808, 547, 581, 519, 3312, 1753, 540, 519, 6682, 749, 807, 5609, 18424, 2030, 2249, 269, 769, 1249, 267, 476, 18605, 540, 519, 1158, 779, 476, 23884, 266, 8677, 540, 7401, 666, 581, 1336, 538, 962, 18365, 534, 269 ]

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

[ 593, 1934, 2336, 272, 454, 272, 454, 763, 1412, 22487, 540, 546, 7976, 262, 814, 606, 1198, 593, 519, 2450, 540, 519, 3239, 563, 12148, 454, 16178, 454, 273, 454, 272, 454, 1432, 1058, 649, 1305, 737, 3160, 547, 952, 649, 1616, 519, 3239, 547, 581, 519, 3169, 1482, 607, 519, 840, 13548, 888, 274, 454, 272, 454, 288, 546, 7976, 786, 1267, 538, 606, 1843, 21412, 547, 519, 3312, 563, 15919, 454, 29490, 454, 22142, 454, 275, 454, 272, 454, 288, 546, 7976, 786, 17967, 519, 3239, 3448, 547, 519, 840, 13548, 563, 15919, 454, 29490, 454, 22142, 454, 276, 454, 272, 454, 13729, 737, 815, 476, 274, 538, 519, 17250, 1657, 269, 12763, 29314, 543, 21191, 8339, 1548, 568, 519, 5223, 540, 21191, 262, 270, 29151, 286, 12315, 707, 2626, 538, 519, 1106, 544, 14672, 1141, 544, 543, 562, 616, 9981, 269, 2422, 513, 9498, 547, 1118, 707, 19106, 952, 2877, 563, 277, 454, 272, 454, 13729, 737, 815, 476, 275, 538, 519, 17250, 1657, 269, 12763, 29314, 543, 21191, 8339, 1548, 568, 519, 5223, 540, 21191, 262, 270, 29151, 286, 12315, 707, 2626, 538, 519, 1106, 544, 14672, 563, 278, 454, 272, 454, 4263, 1018, 1871, 540, 737, 786, 29314, 262, 815, 589, 262, 288, 15017, 279, 454, 272, 454, 1432, 4523, 950, 519, 4336, 3815, 538, 513, 546, 7976, 568, 2942, 286, 1306, 606, 1383, 267, 1018, 1281, 568, 621, 1611, 547, 723, 513, 546, 7976, 3815, 540, 910, 274, 26042, 280, 454, 272, 454, 8196, 513, 3113, 4580, 547, 2203, 543, 2626, 519, 2243, 780, 9359, 609, 519, 1448, 589, 263, 273, 267, 476, 274, 264, 543, 8920, 622, 519, 1448, 676, 513, 3815, 540, 476, 275, 827, 519, 5169, 630, 271, 267, 271, 6393, 1432, 616, 519, 10974, 540, 589, 262, 799, 568, 519, 3239, 896, 713, 546, 7976, 888, 1015, 454, 272, 454, 8196, 513, 3113, 4580, 547, 2203, 543, 2626, 519, 2243, 780, 9359, 609, 519, 1448, 589, 263, 273, 267, 476, 274, 264, 543, 8920, 622, 519, 1448, 676, 513, 3815, 540, 476, 275, 827, 519, 1448, 11196, 272, 267, 476, 276, 6393, 1432, 616, 519, 10974, 540, 589, 262, 799, 568, 519, 3239, 896, 713, 546, 7976, 888, 1556, 454, 272, 454, 13706, 519, 546, 7976, 689, 519, 1966, 1657, 269, 1548, 568, 519, 6152, 7004, 602, 568, 6697, 547, 519, 546, 7976, 286, 2334, 568, 267, 1018, 568, 519, 6152, 21191, 262, 286, 3503, 707, 2626, 538, 519, 1106, 2999, 330, 31599, 285, 4586, 1321, 454, 272, 454, 2237, 513, 8086, 3948, 593, 713, 3992, 269, 2142, 2386, 547, 5581, 1018, 513, 1412, 323, 7976, 262, 568, 538, 707, 1378, 1913, 269, 589, 1434, 3948, 1058, 1118, 519, 4276, 1063, 519, 2450, 540, 519, 3239, 543, 519, 5223, 540, 519, 9883, 547, 519, 4099, 540, 546, 7976, 269, 0, 1012, 5441, 10789, 630, 277, 628, 9990, 2020, 763, 1599, 1269, 326, 3287, 21174, 8421, 3709, 321, 26507, 259, 630, 1492, 32568, 1599, 609, 3490, 1269, 321, 259, 264, 568, 519, 11201, 1599, 540, 519, 12825, 1599, 609, 3490, 1269, 321, 12101, 535, 3287, 6661, 321, 3867, 343, 4151, 634, 11708, 540, 519, 11201, 3252, 568, 513, 8086, 540, 519, 3312, 1599, 827, 519, 1899, 586, 24210, 269, 3776, 1544, 281, 476, 272, 269, 3113, 535, 3287, 264, 676, 28321, 1896, 2798, 267, 11836, 873, 609, 513, 5347, 7455, 267, 476, 273, 269, 23396, 519, 10974, 540, 519, 2798, 649, 3893, 538, 1900, 476, 272, 547, 3489, 1007, 2798, 269, 476, 274, 269, 634, 2798, 538, 630, 273, 4700, 616, 18759, 540, 519, 2798, 538, 630, 272, 4700, 827, 519, 1899, 586, 24210, 269, 1284, 949, 3113, 519, 1899, 586, 24210, 547, 9414, 713, 269, 11835, 1456, 713, 1007, 1305, 540, 2798, 267, 649, 723, 1178, 335, 1117, 575, 3287, 264, 0, 283, 19112, 521, 21683, 6889, 10059, 2517, 323, 276, 333, 343, 560, 279, 325, 745, 342, 275, 345, 17085, 3716, 12506, 14492, 270, 520, 337, 330, 3052, 604, 286, 27665, 284, 328, 288, 272, 303, 328, 272, 320, 279, 291, 344, 876, 2096, 257, 2511, 6889, 5891, 281, 333, 821, 257, 4463, 6889, 272, 257, 8700, 6889, 272, 257, 5621, 284, 3269, 29451, 692, 258, 31592, 20309, 16214, 609, 9978, 15051, 692, 1012, 21414, 7215, 585, 1022, 2596, 5106, 780, 8867, 12069, 616, 595, 298, 268, 1321, 781, 2875, 9740, 2157, 563, 21995, 4841, 20083, 547, 713, 1377, 723, 513, 9864, 17117, 540, 32563, 1702, 543, 1983, 4909, 585, 21295, 960, 563, 4263, 6103, 630, 30267, 17087, 264, 4841, 20083, 547, 713, 1377, 723, 7152, 28671, 936, 4101, 1641, 2339, 267, 1519, 1641, 2339, 1702, 267, 3498, 540, 971, 1702, 547, 1483, 8996, 3871, 267, 543, 10763, 1983, 3617, 547, 1641, 2339, 563, 28723, 4841, 20083, 547, 713, 1377, 616, 4712, 585, 1570, 602, 3340, 9120, 2773, 543, 17117, 780, 1012, 31592, 20309, 16214, 609, 9978, 15051, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 9596, 547, 946, 519, 1931, 540, 4238, 547, 6218, 10230, 7215, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 1556, 692, 1012, 10563, 486, 502, 424, 373, 502, 424, 489, 507, 422, 367, 376, 21844, 372, 364, 423, 367, 372, 29306, 364, 424, 480, 364, 692, 2421, 1733, 752, 4157, 10557, 12262, 21353, 545, 454, 8196, 519, 1931, 540, 4238, 547, 6218, 10230, 7215, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 31592, 20309, 16214, 609, 9978, 15051, 692, 2421, 700, 9461, 20307, 12262, 21353, 545, 454, 8196, 519, 1931, 540, 4238, 547, 6218, 10230, 7215, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 31592, 20309, 16214, 609, 9978, 15051, 692, 2421, 19626, 14181, 9440, 12262, 21353, 545, 454, 8196, 519, 1931, 540, 4238, 547, 6218, 10230, 7215, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 20309, 16214, 609, 15733, 540, 17773, 692, 2421, 14330, 4916, 4569, 12262, 21353, 545, 454, 24066, 10663, 10230, 543, 15821, 7215, 5473, 2472, 540, 8454, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 9061, 595, 766, 1782, 692, 2421, 8176, 324, 20831, 12262, 21353, 545, 454, 24066, 10663, 10230, 543, 15821, 7215, 5473, 2472, 540, 8454, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 692, 1012, 20309, 16214, 609, 9978, 15051, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 8340, 856, 875, 547, 6218, 4756, 7215, 5473, 519, 2185, 2596, 4238, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 275, 454, 1892, 11473, 692, 1012, 4985, 547, 11352, 540, 15051, 692, 20779, 2970, 919, 519, 1931, 540, 5106, 596, 1246, 547, 2347, 513, 2979, 1966, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 1240, 454, 1892, 11473, 692, 1012, 9050, 4238, 609, 14559, 910, 7151, 476, 272, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 7151, 476, 272, 281, 21414, 519, 8382, 1210, 11352, 540, 15051, 692, 17809, 1938, 835, 1383, 540, 10442, 606, 4082, 1210, 519, 1931, 540, 4238, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 272, 454, 1892, 11473, 692, 1012, 9050, 4238, 609, 14559, 910, 7151, 476, 273, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 8794, 1079, 4238, 609, 2724, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 7151, 476, 273, 281, 21414, 519, 8382, 1210, 11352, 540, 15051, 692, 17809, 1938, 513, 2034, 1383, 540, 10442, 606, 4082, 1210, 519, 1931, 540, 4238, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 9050, 4238, 609, 14559, 910, 7151, 476, 274, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 10521, 5999, 1210, 9050, 15051, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 5564, 28745, 17773, 692, 9596, 547, 9062, 8454, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 272, 454, 1892, 11473, 692, 1012, 18527, 12833, 6295, 17773, 692, 7336, 1622, 875, 547, 3274, 8454, 1354, 14921, 873, 1927, 269, 898, 2488, 1079, 1806, 540, 8691, 609, 8454, 563, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 274, 454, 1892, 11473, 692, 1012, 9050, 4238, 609, 14559, 910, 7151, 476, 275, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 19177, 4238, 1210, 513, 3349, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 9050, 4238, 609, 14559, 910, 7151, 476, 276, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 3682, 21793, 1210, 1412, 1326, 835, 1863, 7055, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 14559, 7420, 10819, 910, 7151, 476, 272, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 300, 2292, 6478, 10819, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 14559, 7420, 10819, 910, 7151, 476, 273, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 8340, 519, 1942, 262, 2262, 2042, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 14559, 7420, 10819, 910, 7151, 476, 274, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 10870, 1231, 543, 12014, 476, 272, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 14559, 7420, 10819, 910, 7151, 476, 275, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 10870, 1231, 543, 3915, 476, 273, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 11022, 3008, 594, 910, 7151, 476, 272, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 11022, 3008, 594, 910, 7151, 476, 273, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 25648, 6473, 543, 10406, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 11022, 3008, 594, 910, 7151, 476, 274, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 11022, 3008, 594, 910, 7151, 476, 275, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 6751, 291, 3008, 594, 910, 7151, 476, 272, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 300, 4932, 12088, 631, 4953, 2207, 454, 1607, 6920, 875, 2178, 538, 707, 3965, 713, 1523, 568, 454, 271, 454, 1892, 11473, 692, 1012, 6751, 291, 3008, 594, 910, 7151, 476, 273, 692, 2421, 595, 298, 268, 1321, 12262, 21353, 545, 454, 3849, 1288, 267, 25513, 267, 543, 18527, 609, 9977, 12330, 454, 300, 4932 ]

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

[ 5177, 781, 1034, 3078, 2257, 543, 2029, 786, 581, 593, 1397, 563, 763, 9576, 5980, 14400, 3163, 1401, 22128, 568, 513, 1863, 5993, 2680, 585, 8436, 540, 782, 6502, 547, 2743, 2324, 3173, 543, 1491, 851, 538, 3946, 593, 2238, 563, 1607, 1032, 267, 15875, 1382, 786, 1586, 581, 6719, 2066, 513, 1297, 540, 15225, 693, 799, 8436, 666, 12303, 3542, 1393, 938, 12084, 609, 5068, 543, 4585, 621, 3262, 1472, 519, 5722, 15798, 267, 1491, 513, 6049, 1289, 689, 519, 8262, 10854, 267, 9329, 513, 28661, 610, 2972, 513, 17178, 16536, 30413, 13447, 334, 563, 2026, 3173, 1118, 741, 3803, 21339, 267, 6276, 7931, 3266, 9575, 909, 609, 930, 540, 873, 547, 1265, 856, 1018, 789, 723, 538, 4558, 563, 5522, 2880, 711, 9735, 454, 310, 4292, 5068, 568, 10876, 538, 519, 5836, 543, 621, 568, 5739, 547, 7286, 7320, 269, 898, 568, 513, 1966, 602, 814, 5734, 519, 24657, 5781, 538, 2487, 1296, 855, 1510, 2731, 2519, 593, 519, 2407, 3390, 543, 609, 2370, 4901, 540, 3435, 3081, 519, 21081, 628, 600, 4659, 779, 3220, 661, 20891, 11709, 1530, 321, 4068, 267, 945, 568, 3056, 519, 21311, 711, 9735, 538, 938, 12084, 8858, 563, 2108, 6624, 1004, 723, 4862, 827, 519, 5318, 2127, 1141, 519, 5068, 7213, 12885, 538, 519, 1647, 540, 519, 5836, 267, 543, 519, 5961, 540, 891, 616, 5963, 26648, 269, 1809, 15029, 5068, 9170, 538, 519, 5836, 568, 513, 6161, 267, 621, 781, 1271, 602, 1004, 917, 602, 519, 5068, 2282, 5032, 6050, 3123, 519, 1034, 2800, 543, 713, 568, 1141, 649, 1058, 581, 2519, 938, 3007, 1101, 269, 3245, 26026, 8674, 9575, 538, 17787, 540, 5068, 11183, 547, 4874, 560, 344, 16867, 5536, 17527, 519, 9667, 1949, 540, 3165, 267, 5068, 3123, 513, 6024, 2619, 540, 9552, 689, 2627, 547, 13837, 331, 3233, 3034, 4263, 3220, 11709, 1530, 321, 4068, 781, 8858, 267, 8436, 786, 6749, 3059, 5068, 883, 513, 5691, 5836, 543, 2263, 875, 621, 26055, 519, 14768, 1210, 519, 21311, 3849, 337, 3424, 7317, 1357, 1907, 267, 1354, 7487, 875, 1945, 607, 21030, 6681, 607, 513, 535, 714, 5414, 4235, 11480, 666, 3132, 6634, 540, 6263, 5536, 5827, 540, 4929, 3441, 547, 7286, 8134, 563, 4913, 267, 585, 3220, 11709, 1530, 321, 4068, 267, 621, 568, 519, 5717, 1472, 1761, 3435, 646, 568, 1034, 3168, 4464, 547, 563, 29467, 568, 1100, 8988, 16886, 547, 4194, 519, 5068, 1966, 2223, 646, 8591, 269, 968, 7212, 972, 616, 513, 2039, 540, 4540, 2093, 585, 8739, 20300, 267, 3114, 267, 543, 4702, 3435, 602, 1223, 2907, 581, 4547, 538, 269, 1548, 786, 581, 2731, 4277, 585, 938, 1382, 568, 799, 540, 891, 519, 1857, 1589, 616, 1034, 14323, 267, 1271, 610, 26656, 269, 12344, 789, 666, 2097, 909, 609, 1945, 5963, 3312, 543, 5863, 286, 2913, 779, 4126, 865, 267, 1317, 649, 991, 3435, 3728, 3034, 1432, 5949, 693, 519, 8262, 10854, 888, 5194, 1796, 6770, 1927, 5177, 2818, 540, 519, 30673, 23851, 2230, 5692, 799, 9250, 538, 476, 1220, 280, 547, 7747, 519, 17184, 17196, 4282, 630, 290, 11586, 1040, 634, 15875, 2319, 267, 3366, 676, 3220, 25272, 595, 6123, 543, 7905, 12448, 808, 25377, 267, 814, 1044, 3238, 538, 26215, 908, 519, 1239, 4607, 689, 519, 9682, 1996, 519, 10066, 543, 6571, 540, 519, 22572, 547, 2333, 922, 10727, 267, 1354, 1210, 713, 1239, 547, 1353, 1312, 7404, 543, 11397, 15270, 563, 4263, 741, 1548, 5949, 693, 519, 8262, 10854, 286, 1796, 8436, 786, 581, 2111, 547, 5873, 1018, 519, 1376, 540, 519, 7122, 32131, 899, 998, 513, 23851, 3905, 1467, 6049, 267, 2263, 519, 595, 11586, 538, 5691, 4641, 543, 1451, 875, 519, 23851, 2319, 616, 7893, 543, 16208, 519, 1239, 547, 2263, 519, 5169, 543, 2104, 540, 519, 7122, 563, 17606, 779, 2141, 1390, 547, 2285, 1945, 1394, 543, 6678, 2224, 519, 1985, 5108, 827, 1018, 649, 2461, 3257, 2223, 3081, 3220, 595, 6123, 269, 968, 2171, 4126, 602, 1004, 979, 2476, 609, 713, 5863, 2856, 602, 3388, 538, 519, 7122, 8057, 689, 519, 6263, 15088, 649, 1294, 538, 519, 595, 11586, 3034, 8967, 3187, 16536, 3423, 1231, 454, 763, 1985, 15875, 11347, 693, 519, 1401, 22128, 649, 9575, 909, 609, 568, 12359, 320, 1325, 612, 663, 337, 7236, 267, 513, 2022, 12392, 689, 519, 21619, 517, 3427, 540, 5071, 7177, 269, 1261, 786, 6443, 3173, 693, 10228, 2160, 593, 30064, 3103, 543, 3623, 802, 267, 513, 1796, 3168, 693, 875, 891, 2326, 616, 26655, 519, 5137, 540, 2104, 1979, 24899, 6312, 1043, 2472, 563, 306, 3671, 619, 685, 16536, 568, 2178, 543, 13412, 609, 2189, 31954, 3601, 269, 1325, 2819, 1031, 538, 5569, 267, 1325, 612, 663, 337, 7236, 568, 29227, 891, 6949, 908, 3601, 538, 7574, 7405, 269, 4635, 13642, 2107, 321, 20151, 685, 16536, 21433, 689, 7905, 674, 761, 345, 966, 3326, 337, 987, 693, 10228, 2160, 779, 4972, 540, 25672, 1108, 543, 519, 10228, 28010, 6828, 267, 646, 814, 2919, 513, 12432, 1570, 585, 946, 538, 3423, 1231, 602, 1223, 5512, 2688, 529, 762, 1035, 24065, 923, 1282, 519, 5663, 1184, 269, 1280, 519, 14266, 1325, 612, 663, 337, 7236, 786, 581, 8744, 1524, 1079, 17178, 16536, 3423, 1231, 547, 13686, 891, 3601, 267, 607, 1134, 607, 1683, 513, 7574, 9311, 2939, 693, 835, 1448, 1282, 519, 3018, 563, 10527, 10228, 2160, 2319, 723, 1044, 513, 1390, 948, 3246, 17178, 16536, 547, 4603, 609, 2429, 713, 1788, 2223, 3081, 12359, 320, 269, 968, 296, 1745, 4378, 10696, 547, 2911, 547, 519, 1857, 827, 1250, 960, 267, 543, 594, 666, 1406, 7227, 547, 6445, 519, 20380, 267, 8978, 11623, 540, 519, 9576, 5980, 609, 519, 4992, 540, 1250, 3423, 1231, 3034, 288, 2910, 300, 4953, 11555, 12717, 3201, 3633, 454, 763, 3803, 1796, 5473, 938, 15875, 3173, 786, 1459, 519, 5767, 4681, 689, 519, 3864, 14472, 24297, 2230, 5692, 602, 568, 3695, 1290, 564, 476, 6858, 303, 547, 1265, 10881, 547, 519, 2175, 602, 11478, 950, 3047, 543, 519, 824, 10785, 4646, 269, 2201, 741, 1796, 589, 28661, 7000, 281, 14472, 24297, 543, 5845, 2801, 693, 1290, 564, 476, 6858, 303, 8436, 786, 1205, 513, 1312, 513, 3308, 543, 17725, 4663, 540, 938, 3859, 1062, 779, 1034, 4583, 4062, 540, 10760, 4672, 609, 5691, 4641, 19150, 7258, 15072, 543, 2879, 858, 2022, 11568, 13031, 519, 28661, 779, 1483, 9329, 563, 3412, 704, 658, 3744, 971, 607, 3220, 18281, 29336, 3710, 851, 540, 14472, 24297, 779, 6293, 24194, 602, 616, 7893, 519, 9357, 2213, 3154, 799, 27788, 519, 28661, 2899, 5950, 676, 7943, 18644, 519, 2627, 543, 875, 621, 25998, 609, 519, 11313, 338, 6897, 2914, 785, 685, 602, 12535, 689, 519, 3141, 563, 28317, 3650, 540, 519, 14361, 779, 3803, 2669, 4685, 883, 476, 6858, 303, 538, 5181, 649, 1616, 547, 2671, 609, 519, 1857, 930, 540, 519, 5863, 1919, 649, 723, 19927, 1282, 519, 5692, 2223, 3081, 3220, 29336, 269, 968, 5804, 12423, 1018, 621, 781, 1500, 1055, 267, 1519, 4466, 930, 3078, 1950, 5214, 6675, 267, 547, 7206, 513, 4605, 540, 1312, 519, 28661, 779, 5250, 543, 519, 2242, 621, 568, 2469, 998, 2221, 602, 948, 721, 547, 3589, 922, 10700, 2104, 3034, 763, 9576, 5980, 14400, 3163, 1401, 22128, 10741, 547, 519, 1857, 593, 11728, 476, 275, 5147, 543, 8255, 998, 547, 10732, 476, 1015, 5147, 269, 898, 568, 4371, 693, 519, 9576, 5980, 779, 22071, 538, 3844, 5507, 563, 4692, 1406, 1118, 621, 1524, 286, 3367, 10311, 689, 519, 6887, 1282, 741, 3018, 693, 519, 1401, 22128, 593, 1514, 2923, 267, 610, 1256, 2307, 873, 2055, 267, 676, 1739, 519, 814, 6255, 698, 1948, 8999, 11302, 7220, 454, 20684, 1257, 630, 1410, 6984, 6337, 610, 12449, 264, 2139, 896, 606, 21922, 9539, 517, 4467, 14293, 27691, 732, 2704, 833, 11300, 12780, 12689, 563, 21900, 657, 543, 12449, 1641, 547, 3791, 5428, 10677, 1031, 609, 10479, 610, 9736, 15875, 5441, 5507, 563, 32306, 513, 6085, 454, 7312, 6085, 949, 581, 3370, 267, 18071, 707, 2012, 607, 596, 1683, 621, 267, 8259, 596, 7662, 6382, 269, 2659, 3346, 3877, 786, 2760, 581, 3370, 269, 0, 20373, 281, 7439, 21552, 267, 3006, 5219, 547, 607, 519, 5162, 13481, 17079, 267, 568, 519, 1034, 1455, 2014, 540, 12884, 10938, 4345, 269, 25124, 568, 6353, 676, 13165, 267, 13481, 267, 543, 7181, 1928, 269, 10552, 568, 711, 2356, 1459, 269, 674, 1197, 610, 14331, 949, 849, 2049, 269, 901, 2356, 10953, 476, 1321, 547, 476, 4366, 3108, 1310, 1373, 6534, 269, 18401, 3335, 4386, 1369, 476, 272, 547, 476, 274, 2395, 269, 1290, 4124, 949, 1331, 18024, 563, 20373, 281, 634, 4576, 568, 3361, 676, 6862, 21552, 267, 4352, 2147, 10194, 12884, 10938, 4345, 10108, 949, 581, 3361, 676, 824, 8290, 269, 634, 1292, 2707, 540, 519, 3644, 568, 22454, 543, 12154, 527, 689, 7783, 1004, 267, 543, 568, 5293, 2059, 998, 1018, 568, 1572, 519, 32740, 268, 7394, 8905, 563, 20373, 281, 5623, 539, 5239, 476, 1001, 274, 11261, 540, 1985, 2689, 1107, 5130, 476, 1001, 275, 476, 277, 7439, 21552, 5583, 585, 1416, 5321, 7439, 21552, 849, 1634, 607, 519, 5162, 13481, 2068, 568, 5631, 1336, 538, 519, 454, 20373, 281, 667, 24122, 4214, 568, 910, 606, 8650, 11763, 2068, 3361, 676, 513, 7657, 643, 6400, 630, 14588, 2886, 667, 24122, 3644, 540, 519, 12593, 4469, 822, 643, 6400, 1070, 10299, 676, 513, 26433, 19498, 267, 543, 6353, 676, 15677, 267, 4049, 4745, 1928, 267, 543, 513, 16420, 2443, 21406, 849, 2736, 14752, 8611, 267, 28939, 8611, 563, 20373, 281, 16065, 538, 1416, 5321, 1590, 581, 8036, 538, 12176, 6604, 267, 23982, 267, 7020, 543, 2359, 269, 901, 2376, 568, 10483, 676, 513, 1582, 12431, 20156, 18102, 865, 596, 666, 6693, 20373, 281, 9947, 476, 2767, 267, 476, 1001, 278, 5788, 5253, 15464, 267, 3006, 1572, 1426, 13871, 4576, 267, 568, 513, 1455, 855, 28824, 2783, 3361, 676, 4189, 3536, 13572, 609, 5739, 13596, 269, 4340, 547, 519, 15544, 585, 8376, 6513, 4429, 20373, 281, 476, 272, 270, 1240, 270, 1001, 274, 476, 275, 700, 12839, 293, 24028, 11462, 26479, 2353, 17148, 18771, 2142, 5450, 3040, 2353, 2589, 1590, 581, 1007, 610, 8650, 569, 8338, 3040, 20010, 1875, 29795, 1190, 3123, 540, 4191, 543, 2589, 1058, 581, 2808, 1101, 3040, 3143, 3968, 666, 581, 1759, 593, 513, 2582, 4062, 540, 2963, 3040, 667, 343, 676, 6693, 20373, 281, 3367, 519, 5767, 2984, 689, 2817, 22127, 781, 4279, 6052, 7420, 454, 20373, 281, 476, 272, 269, 589, 2783, 610, 4576, 602, 2356, 814, 513, 4028, 12614, 540, 2589, 543, 949, 8207, 1369, 2395, 609, 610, 1510, 2126, 269, 898, 568, 519, 6587, 540, 5312, 269, 476, 273, 269, 589, 2783, 610, 4576, 602, 568, 6727, 610, 4049, 563, 20373, 281, 853, 6729, 2770, 610, 12884, 10938, 4345, 3968, 4191, 543, 2589, 1331, 15353, 267, 13481, 267, 543, 13165, 602, 16569, 585, 827, 5722, 547, 476, 1691, 2395, 269, 634, 7181, 2770, 568, 3262, 689, 1268, 547, 1268, 267, 2356, 3842, 32740, 547, 5711, 8905, 689, 4057, 1688, 2914, 4770, 610, 9882, 2553, 269, 7439, 21552, 568, 6693, 20373, 281, 674, 303, 16694, 1504, 2593, 568, 513, 4028, 1569, 267, 1448, 6361, 13282, 2564, 4704, 585, 3119, 1416, 543, 6595, 19353, 269, 29035, 538, 476, 1960, 276, 267, 713, 4015, 1631, 3568, 476, 26116, 275, 954, 15062, 539, 1888, 3817, 5258, 883, 513, 3529, 540, 476, 4029, 20614, 2835, 543, 476, 278, 2764, 11271, 563, 20373, 281, 5455, 30098, 269, 1284, 15476, 519, 10311, 5612, 593, 891, 1357, 335, 1137, 269, 1280, 519, 2347, 1592, 540, 10311, 267, 610, 547, 1820, 513, 5299, 540, 606, 9337, 267, 1294, 1520, 2381, 8562, 983, 338, 269, 1403, 596, 946, 891, 4808, 267, 621, 568, 707, 5539, 547, 1118, 2386, 602, 596, 616, 1210, 519, 1034, 909, 3562, 15082, 4528, 563, 20373, 281, 634, 12876, 325, 1314, 6019, 2657, 4972, 568, 7487, 606, 2333, 538, 2665, 540, 16063, 4576, 538, 519, 2146, 543, 568, 22348, 1004, 547, 3251, 1753, 950, 7210, 543, 585, 476, 2190, 3108, 1310, 3478, 1732, 267, 543, 547, 2259, 1434, 1688, 31290, 547, 2061, 2417, 3262, 563, 20373, 281, 18467, 547, 16473, 5253, 13871, 7439, 21552, 4934, 3691, 6545, 630, 24922, 264, 16473, 532, 7439, 21552, 4934, 3691, 6545, 630, 24922, 264, 6435, 16473, 519, 24619, 540, 7439, 21552, 1299, 11162, 5346, 543, 2598, 26529, 585, 7439, 21552, 630, 5319, 267, 1975, 267, 2605, 994, 20373, 281, 22548, 2305, 15048, 281, 15509, 543, 670, 2975 ]

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

[ 273, 815, 11713, 339, 269, 1067, 613, 19906, 272, 267, 476, 271, 267, 2855, 273, 267, 476, 271, 994, 13765, 8266, 8443, 3910, 2855, 272, 2020, 1551, 272, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 1551, 273, 815, 1496, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 2639, 339, 269, 1067, 613, 19906, 272, 267, 476, 274, 267, 2855, 273, 267, 476, 275, 994, 13765, 8266, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 3910, 2855, 272, 2020, 1551, 272, 815, 1496, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 1551, 273, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 339, 269, 1067, 613, 19906, 272, 267, 476, 275, 267, 2855, 273, 267, 476, 274, 994, 13765, 8266, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 3910, 2855, 272, 264 ]

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

[ 1957, 729, 835, 540, 519, 1101, 602, 594, 4076, 1224, 538, 513, 1888, 609, 799, 594, 6557, 14542, 1141, 594, 1185, 606, 8362, 2352, 942, 1739, 519, 16166, 267, 799, 729, 513, 2731, 3209, 1995, 269, 589, 2603, 540, 519, 5220, 1185, 803, 605, 14620, 6053, 8757, 585, 519, 605, 14620, 658, 8675, 2789, 2053, 256, 1809, 621, 729, 513, 1360, 1134, 27787, 1957, 609, 513, 2312, 2239, 269, 0, 763, 21011, 6611, 8154, 281, 589, 20048, 1108, 454, 2421, 25909, 667, 269, 661, 4135, 601, 267, 693, 620, 563, 21812, 281, 8331, 476, 1220, 278, 454, 763, 12225, 1108, 540, 519, 1646, 540, 519, 21011, 14361, 543, 519, 16264, 5692, 2488, 1808, 13006, 1344, 8720, 513, 2647, 2039, 540, 4755, 902, 1312, 2047, 543, 18549, 1644, 547, 519, 1982, 269, 901, 5763, 540, 1570, 1058, 581, 540, 1871, 547, 12206, 543, 1866, 5461, 538, 519, 2621, 540, 519, 1390, 7045, 563, 12709, 2985, 29250, 454, 12606, 610, 1224, 621, 2228, 585, 1863, 1934, 912, 2421, 9478, 681, 269, 16422, 1499, 910, 8331, 454, 22498, 814, 1500, 1082, 7418, 547, 513, 3376, 2039, 540, 8484, 1519, 2489, 18229, 267, 25881, 267, 543, 647, 17367, 545, 3560, 338, 269, 901, 1433, 6257, 519, 2152, 602, 1590, 581, 2808, 950, 22151, 9408, 1446, 2164, 547, 2407, 8397, 3498, 563, 2421, 31187, 589, 269, 13669, 599, 910, 8331, 3778, 10406, 454, 1607, 1433, 568, 606, 2606, 1576, 538, 7098, 19392, 269, 898, 2488, 811, 982, 513, 2482, 2006, 781, 2126, 540, 519, 1641, 855, 711, 519, 1469, 607, 6026, 538, 1082, 1367, 6030, 593, 519, 2852, 1377, 269, 634, 1267, 568, 513, 3810, 12007, 267, 11609, 1305, 540, 4967, 563, 2421, 20537, 327, 631, 2426, 19681, 910, 769, 24728, 454, 763, 1433, 593, 19666, 6472, 281, 1374, 543, 1646, 267, 772, 16787, 18330, 5108, 267, 30313, 2740, 21484, 641, 1562, 267, 8184, 1852, 1062, 11938, 267, 10995, 19666, 6472, 267, 14628, 5250, 8184, 267, 12623, 13240, 29964, 532, 1166, 6260, 8184, 267, 543, 1454, 811, 563, 2421, 15182, 731, 13391, 1009, 578, 910, 7043, 332, 753, 267, 5682, 454, 763, 960, 6663, 693, 519, 10868, 540, 3741, 540, 8184, 689, 267, 543, 519, 14745, 540, 519, 946, 540, 267, 2143, 1344, 593, 7098, 517, 2246, 923, 1631, 2139, 689, 1082, 2959, 269, 634, 1641, 540, 7098, 19392, 568, 3592, 28025, 1759, 593, 4603, 269, 0, 303, 340, 15300, 22656, 1635, 281, 9253, 20811, 22216, 852, 267, 2441, 2088, 667, 10005, 267, 543, 15917, 2917, 3223, 603, 454, 1692, 2475, 3893, 3238, 3040, 2475, 22983, 11553, 5147, 476, 2918, 267, 476, 6245, 279, 3040, 3794, 537, 31569, 17991, 693, 5053, 3625, 5264, 3040, 2475, 5833, 11553, 796, 4186, 6479, 3040, 595, 17660, 547, 2475, 676, 8050, 538, 5463, 269, 476, 6245, 279, 3040, 3487, 540, 519, 15521, 540, 8303, 454, 9617, 2305, 5288, 269, 7763, 1161, 3807, 5874, 7763, 1161, 24344, 6728, 585, 10617, 4721, 547, 1201, 3241, 31621, 585, 9341, 6683, 12434, 2871, 5875, 4315, 4527, 540, 2475, 17189, 4229, 538, 12144, 3040, 22893, 856, 540, 6710, 3040, 10435, 6009, 3040, 2475, 25997, 547, 4228, 22030, 3040, 674, 3881, 11553, 1058, 711, 581, 16271, 547, 5053, 3765, 22364, 454, 3725, 9146, 540, 2199, 2551, 3040, 22893, 8385, 5551, 2407, 7115, 3040, 28088, 539, 538, 11553, 15114, 538, 3013, 3040, 11553, 20888, 2475, 4718, 607, 6454, 936, 5053, 4341, 3040, 11553, 27025, 30829, 609, 2475, 16132, 543, 4341, 3040, 4006, 24914, 267, 6710, 267, 543, 2686, 3463, 3040, 3509, 1869, 5551, 7115, 6466, 930, 17896, 681, 15092, 4941, 1533, 3125, 454, 29806, 28088, 3040, 808, 821, 4537, 2378, 549, 628, 2920, 2813, 9291, 540, 7126, 3040, 476, 274, 8371, 540, 2229, 3040, 16393, 1631, 6443, 2475, 8136, 3040, 24918, 17896, 22656, 568, 606, 1271, 4108, 543, 17189, 3490, 3040, 19004, 8057, 3040, 6182, 5896, 1318, 547, 8908, 1378, 11156, 3040, 17896, 729, 29064, 607, 11884, 2404, 607, 513, 2475, 1455, 17314, 454, 310, 699, 3527, 6225, 286, 3040, 12878, 2082, 1857, 1153, 1062, 3040, 2494, 3042, 2229, 18083, 3040, 3204, 4327, 960, 2175, 11486, 16742, 19455, 5121, 3040, 5398, 1568, 630, 14683, 1811, 264, 3040, 9484, 541, 730, 5939, 543, 1533, 7060, 268, 3909, 10892, 454, 8266, 540, 3718, 24764, 3040, 834, 300, 2355, 540, 519, 12144, 7256, 1299, 6816, 540, 17896, 22656, 1701, 12144, 11205, 3429, 12020, 282, 17896, 22656, 20121, 1588, 11205, 3429, 1773, 22395, 269, 5680, 269, 476, 5881, 4239, 269, 476, 1001, 271, 269, 2999, 10674, 2517, 4178, 6983, 541, 11194, 680, 8911, 2593, 270, 8364, 11194, 2173, 777, 21867, 20101, 3040, 834, 303, 340, 15300, 681, 15092, 28161, 772, 2529, 269, 22893, 267, 3657, 5589, 745, 1243, 585, 2782, 20306, 677, 2443, 3778, 2593, 901, 4303, 538, 3778, 2443, 476, 274, 270, 273, 270, 4489, 278, 1701, 3778, 2593, 2443, 3778, 17214, 5272, 4303, 2443, 1977, 1299, 2622, 3778, 269, 5680, 269, 476, 5400, 4239, 269, 476, 1001, 271, 269, 2999, 10674, 2517, 4178, 269, 20931, 2593, 270, 10472, 6377, 2987, 3620, 626, 800, 9706, 340, 15300, 268, 878, 753, 1532, 22877, 268, 639, 2275, 527, 714, 839, 268, 732, 29627, 745, 1243, 16519, 21351, 3887, 742, 677, 20101, 3040, 834, 28049, 12677, 2782, 630, 8967, 664, 268, 18197, 2276, 264, 4534, 27429, 6732, 15610, 1701, 15610, 910, 27429, 6732, 15610, 269, 5680, 269, 476, 1015, 4239, 269, 476, 1001, 271, 269, 2999, 10674, 2517, 4178, 12500, 761, 24628, 2593, 27582, 289, 29051, 14121, 8084, 270, 4649, 279, 25484, 13478, 20725, 12677, 8862, 541, 20101, 0, 15703, 267, 855, 711, 782, 267, 540, 519, 1480, 1395, 16438, 4689, 12489, 1031, 24802, 547, 2061, 2550, 689, 4742, 16094, 2192, 689, 5046, 268, 866, 949, 711, 581, 8825, 1996, 519, 522, 32342, 14583, 1631, 27789, 2066, 519, 2136, 2276, 267, 3173, 4080, 3967, 269, 476, 866, 538, 519, 4760, 7186, 6925, 563, 763, 8047, 1353, 267, 3366, 676, 3173, 693, 6115, 2160, 3427, 540, 6925, 538, 853, 269, 8402, 267, 16713, 267, 7318, 2947, 17193, 10659, 1519, 24888, 12489, 4362, 693, 966, 6387, 321, 2830, 2160, 6481, 4741, 602, 13604, 941, 20979, 676, 8330, 571, 313, 523, 29132, 543, 799, 941, 17101, 585, 6595, 946, 538, 2550, 2063, 3923, 563, 15703, 12489, 267, 1519, 1346, 538, 4791, 946, 676, 8426, 13700, 542, 267, 3204, 10273, 517, 543, 18379, 700, 11035, 267, 4625, 4503, 519, 2702, 547, 9243, 1125, 519, 522, 32342, 14583, 538, 1591, 2528, 267, 6466, 519, 12489, 4362, 693, 966, 9331, 290, 1185, 513, 4389, 9243, 1944, 2702, 267, 543, 606, 17193, 2919, 676, 5164, 30911, 729, 30194, 4299, 267, 519, 1353, 1336, 563, 2108, 302, 32342, 1965, 7870, 6284, 676, 1896, 540, 519, 1395, 16438, 4689, 12489, 602, 616, 1373, 1031, 585, 3797, 2223, 1767, 6276, 15867, 933, 12789, 1421, 11022, 267, 8689, 540, 519, 966, 6387, 321, 2830, 28404, 4741, 267, 4171, 2319, 4362, 519, 1395, 16438, 4689, 12489, 2663, 20979, 676, 8330, 571, 313, 523, 29132, 883, 513, 1279, 19840, 532, 17193, 4999, 1572, 5345, 639, 18988, 563, 293, 6136, 267, 519, 24888, 17193, 540, 5164, 30911, 779, 521, 582, 22201, 574, 629, 267, 968, 663, 519, 605, 29091, 9471, 12489, 538, 5345, 639, 18988, 11677, 8101, 1498, 4389, 2534, 2223, 1767, 15867, 933, 267, 513, 1071, 10461, 540, 519, 1957, 609, 966, 9331, 290, 1382, 8284, 590, 996, 2098, 739, 267, 1912, 6185, 269, 968, 6546, 568, 1434, 3377, 267, 2094, 649, 1869, 723, 513, 2547, 835, 17193, 3075, 649, 666, 946, 585, 1142, 540, 519, 23053, 267, 6604, 610, 3797, 3034, 7197, 540, 519, 1395, 16438, 4689, 12489, 1031, 547, 2061, 4049, 4576, 689, 5046, 268, 866, 616, 13950, 676, 32326, 1102, 16272, 269, 5345, 639, 18988, 4867, 568, 519, 1152, 17193, 4999, 2016, 676, 703, 1090, 31100, 13297, 547, 2149, 796, 17126, 539, 1004, 689, 5046, 268, 866, 563, 18128, 639, 18988, 568, 17101, 1152, 585, 1004, 945, 616, 711, 4867, 7783, 609, 519, 5046, 268, 866, 3644, 543, 945, 616, 6375, 665, 20234, 668, 2213, 1317, 540, 2564, 2175, 610, 2126, 585, 4713, 1519, 2860, 610, 945, 723, 513, 1686, 540, 513, 4049, 8801, 5114, 547, 513, 5046, 268, 866, 6669, 563, 763, 1699, 1353, 729, 3366, 676, 7812, 27339, 267, 11022, 267, 1912, 6185, 1421, 513, 3056, 4274, 538, 10194, 31630, 693, 6115, 2160, 3427, 540, 6925, 269, 634, 2530, 540, 9243, 1944, 2702, 568, 1813, 547, 519, 811, 982, 476, 1789, 13592, 538, 519, 522, 32342, 968, 4944, 833, 892, 3940, 267, 519, 17193, 3077, 267, 593, 519, 2627, 540, 519, 3644, 563, 763, 2530, 540, 7409, 7480, 2534, 538, 519, 1353, 568, 5812, 609, 519, 8343, 602, 17193, 6114, 6383, 1310, 12674, 610, 2067, 3968, 849, 6336, 8101, 7409, 7480, 2534, 1996, 522, 32342, 269, 2334, 4466, 949, 2491, 538, 851, 519, 4473, 538, 31916, 5563, 3361, 676, 519, 522, 32342, 14583, 538, 1004, 945, 723, 5892, 1044, 18764, 563, 763, 4797, 8446, 543, 946, 540, 17618, 543, 1494, 1836, 9243, 1944, 1395, 16438, 4689, 12489, 602, 3077, 519, 1034, 3810, 24721, 543, 2547, 2693, 547, 4573, 622, 13980, 540, 519, 21782, 3940, 616, 2877, 547, 2149, 1996, 522, 32342, 543, 2104, 14726, 267, 519, 3173, 11943, 563, 13126, 281, 3367, 9509, 9137, 0, 291, 9233, 13173, 930, 2178, 2564, 5383, 269, 901, 568, 519, 1259, 2519, 593, 513, 2915, 267, 26804, 267, 610, 824, 13442, 666, 4217, 609, 10970, 11868, 25339, 618, 543, 11552, 553, 1465, 267, 2539, 2604, 267, 543, 2417, 1020, 707, 2295, 8171, 563, 7197, 2915, 1004, 616, 2312, 827, 519, 5401, 1642, 2074, 602, 13173, 18836, 532, 741, 2729, 547, 2427, 330, 1157, 7068, 269, 769, 1022, 2013, 267, 513, 9645, 2603, 540, 721, 3251, 17399, 656, 827, 519, 2168, 543, 3929, 9716, 602, 666, 11338, 979, 609, 519, 10508, 540, 524, 3291, 1782, 909, 547, 513, 27967, 13959, 269, 898, 779, 607, 540, 3735, 602, 8039, 723, 3323, 547, 4603, 958, 8495, 519, 5383, 540, 519, 1480, 2275, 29516, 6125, 563, 291, 9233, 723, 2919, 547, 2490, 856, 547, 581, 7920, 569, 32615, 547, 1004, 543, 938, 2932, 543, 4606, 269, 17268, 267, 585, 3236, 267, 666, 10146, 513, 1713, 1297, 540, 519, 1913, 649, 946, 269, 1717, 267, 789, 2461, 19599, 1732, 693, 21264, 532, 938, 6073, 540, 6340, 267, 1875, 31646, 2792, 267, 543, 20517, 269, 5015, 267, 899, 1022, 1390, 1480, 13959, 267, 513, 32344, 2915, 786, 8495, 707, 4064, 547, 2268, 707, 13730, 1533, 543, 3801, 547, 1205, 1018, 596, 2461, 3206, 543, 18468, 563, 291, 9233, 267, 3226, 5243, 543, 535, 3894, 267, 666, 27298, 2604, 267, 11552, 553, 1465, 267, 543, 14264, 3273, 344, 267, 8897, 632, 20287, 267, 1489, 3635, 543, 1187, 2000, 8221, 2470, 267, 543, 1256, 960, 593, 707, 9025, 8171, 269, 29760, 593, 513, 13442, 666, 4217, 19920, 609, 3395, 909, 10930, 543, 811, 6422, 269, 17268, 11338, 2285, 1713, 11505, 547, 811, 19023, 6738, 13522, 269, 9320, 538, 1880, 267, 2705, 267, 513, 2915, 666, 1039, 9758, 1025, 1170, 543, 19727, 24071, 2648, 547, 707, 1272, 563, 4407, 519, 5013, 6166, 602, 2043, 609, 5243, 5781, 1995, 811, 29810, 2564, 5383, 982, 1346, 1510, 267, 513, 2915, 3085, 1406, 991, 547, 581, 513, 2915, 610, 513, 26804, 269, 589, 536, 22324, 1223, 581, 1390, 14322, 596, 2461, 936, 6213, 547, 1114, 7068, 610, 723, 11658, 2230, 2943, 693, 519, 1482, 942, 991, 513, 27967, 13959, 547, 524, 3291, 548, 609, 269, 20002, 666, 7668, 1514, 2792, 543, 4217, 609, 5329, 707, 2634, 8325, 14322, 596, 2461, 513, 811, 3964, 6738, 5346, 269, 10965, 1389, 267, 20641, 267, 543, 1114, 20641, 666, 1118, 585, 10477, 2828, 269, 769, 1022, 2680, 267, 8384, 3165, 538, 606, 16983, 666, 4217, 609, 1447, 2287, 4887, 2604, 543, 16715, 707, 26470, 2557, 563, 22137, 723, 3254, 602, 912, 268, 10960, 1004, 616, 1447, 20916, 547, 1995, 519, 2192, 2360, 540, 530, 4958, 3481, 1145, 982, 1346, 1510, 5243, 563, 268, 15706, 609, 5243, 723, 513, 2539, 13942, 538, 1253, 7675, 6381, 982, 1346, 1510, 5243, 269, 2290, 7634, 1256, 4362, 602, 950, 2043, 609, 8589, 13119, 3576, 593, 5243, 689, 606, 28357, 267, 741, 30057, 8833, 17379, 9247, 1369, 2947, 3275, 563, 268, 29892, 609, 513, 2915, 267, 26804, 267, 610, 824, 2915, 666, 6318, 2157, 540, 22515, 543, 22006, 267, 799, 616, 9602, 543, 7938, 785, 563, 268, 13928, 1004, 723, 2539, 9761, 6219, 543, 8501, 2157, 630, 338, 793, 338, 540, 18337, 4576 ]

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

[ 28231, 269, 1261, 602, 521, 3298, 547, 1010, 25796, 2470, 267, 543, 11815, 5809, 561, 755, 267, 610, 1285, 541, 823, 267, 610, 1193, 1057, 267, 786, 23366, 28231, 607, 646, 521, 3298, 269, 634, 7556, 786, 2099, 519, 2707, 689, 799, 621, 3357, 269, 634, 1152, 3364, 547, 581, 2944, 568, 547, 5884, 547, 519, 9409, 2470, 269, 2913, 2441, 28231, 519, 1267, 540, 621, 269, 2913, 972, 581, 1945, 1434, 521, 1144, 538, 519, 4677, 543, 711, 9409, 269, 1403, 972, 616, 1079, 3771, 341, 3949, 2427, 676, 2427, 1169, 16027, 6487, 602, 519, 9409, 786, 1205, 6619, 269, 634, 4516, 555, 16824, 786, 2141, 1332, 5488, 982, 519, 10286, 269, 634, 6079, 540, 9409, 568, 513, 13617, 539, 6079, 269, 634, 555, 16824, 786, 979, 20991, 982, 519, 10568, 269, 898, 814, 1524, 344, 12209, 543, 2371, 3294, 6385, 269, 634, 2898, 540, 1715, 10215, 729, 12630, 538, 1614, 1296, 676, 519, 8857, 577, 555, 16824, 269, 2368, 835, 4682, 856, 972, 543, 729, 561, 2158, 727, 1510, 1010, 5065, 2030, 267, 543, 2366, 1753, 585, 513, 6079, 540, 621, 269, 1403, 729, 2366, 547, 1864, 538, 513, 4484, 910, 1175, 835, 6079, 910, 543, 538, 1614, 1296, 942, 621, 1185, 3262, 936, 519, 2898, 6532, 269, 634, 5452, 6926, 342, 10876, 269, 3502, 865, 609, 519, 10568, 282, 621, 1281, 711, 979, 538, 602, 1259, 269, 2913, 721, 267, 1287, 267, 581, 6297, 602, 519, 6079, 12630, 538, 519, 9997, 568, 835, 540, 1272, 543, 5168, 267, 543, 1287, 519, 7556, 556, 9464, 786, 581, 1272, 18163, 563, 2171, 1451, 849, 519, 22979, 540, 519, 1267, 269, 1284, 616, 711, 2141, 8600, 519, 3037, 543, 521, 12976, 519, 6079, 269, 1284, 616, 711, 2141, 2469, 8521, 543, 649, 9429, 267, 12946, 10475, 6079, 282, 855, 649, 616, 8969, 1652, 547, 2097, 1586, 609, 556, 14765, 6005, 267, 8744, 938, 1352, 2314, 609, 721, 269, 634, 9393, 2006, 568, 711, 2141, 7996, 609, 1279, 9639, 585, 519, 10475, 5613, 540, 519, 3618, 269, 1261, 568, 711, 15868, 547, 547, 559, 2141, 538, 642, 664, 269, 2311, 2063, 646, 1281, 13498, 519, 1274, 543, 519, 2407, 8970, 538, 519, 1274, 269, 2311, 2063, 519, 530, 30368, 2132, 17078, 523, 547, 519, 6095, 1676, 269, 1284, 4927, 28231, 952, 649, 25861, 711, 269, 634, 19980, 548, 568, 6297, 547, 2161, 713, 269, 1261, 6645, 721, 281, 834, 1432, 29639, 513, 812, 30889, 996, 602, 4927, 646, 849, 28231, 282, 257, 855, 646, 8591, 267, 834, 6826, 711, 649, 776, 538, 649, 776, 538, 1134, 1673, 21749, 267, 585, 538, 1813, 4005, 649, 4927, 28231, 952, 649, 25861, 711, 1701, 594, 3494, 519, 547, 2812, 543, 19001, 540, 8938, 1296, 3516, 616, 711, 4503, 563, 2171, 949, 711, 2943, 1294, 519, 1267, 540, 519, 4074, 543, 15093, 267, 855, 538, 1813, 942, 789, 786, 581, 1336, 538, 5898, 543, 18710, 269, 594, 993, 2386, 519, 2648, 596, 723, 2016, 267, 519, 19807, 596, 723, 3254, 267, 519, 9639, 267, 543, 31926, 267, 543, 17246, 30970, 267, 543, 11755, 786, 15983, 7703, 513, 3638, 7556, 269, 634, 3659, 596, 1279, 547, 3142, 547, 2441, 949, 20549, 547, 581, 11028, 4290, 539, 547, 13924, 269, 1261, 949, 1747, 1010, 1378, 1582, 268, 3286, 2305, 538, 519, 1259, 269, 634, 2295, 949, 3100, 1360, 2182, 543, 4411, 543, 519, 2898, 960, 1360, 17246, 27570, 269, 8550, 2247, 269, 3245, 513, 544, 16244, 781, 1688, 9274, 540, 12266, 10568, 723, 1044, 3144, 1310, 789, 723, 561, 664, 972, 1079, 8536, 1296, 267, 543, 723, 1044, 12630, 267, 543, 3976, 723, 26857, 513, 3638, 7556, 269, 2991, 8938, 5553, 267, 602, 799, 8604, 4666, 538, 5527, 814, 6738, 12743, 584, 5050, 569, 538, 606, 2296, 4677, 269, 634, 7484, 540, 4411, 1216, 949, 3100, 547, 581, 4503, 267, 855, 621, 568, 711, 269, 2659, 19001, 543, 3646, 949, 3100, 547, 581, 4503, 267, 855, 789, 616, 711, 563, 5475, 2072, 789, 786, 2097, 1394, 547, 596, 513, 4627, 19507, 5310, 1310, 596, 723, 16618, 873, 269, 594, 7281, 539, 585, 513, 812, 2899, 585, 1296, 267, 543, 950, 693, 2063, 594, 5433, 3592, 899, 4758, 909, 267, 835, 1554, 646, 3357, 547, 1250, 5604, 547, 581, 7281, 539, 609, 269, 1284, 798, 711, 917, 875, 519, 960, 568, 2469, 593, 269, 2142, 540, 1434, 17869, 269, 1403, 596, 941, 547, 2030, 606, 15250, 731, 540, 4054, 538, 8419, 267, 1032, 1310, 1032, 1131, 979, 676, 543, 972, 1131, 3100, 547, 581, 1152, 513, 7556, 540, 3762, 282, 855, 519, 7556, 1131, 2097, 18562, 269, 12315, 2696, 267, 942, 269, 634, 2164, 616, 2324, 2933, 856, 267, 543, 676, 543, 676, 649, 4927, 1294, 873, 269, 5384, 568, 2877, 585, 519, 1646, 540, 1169, 1434, 1267, 269, 1703, 1590, 581, 519, 6079, 6066, 543, 519, 4832, 1354, 519, 7556, 269, 1403, 596, 2119, 547, 3196, 519, 7556, 596, 786, 3614, 675, 621, 269, 634, 1919, 596, 7281, 585, 543, 3494, 585, 786, 15983, 2097, 267, 855, 972, 949, 581, 5933, 538, 741, 1646, 269, 11565, 13924, 585, 873, 269, 634, 9393, 2006, 814, 1279, 9639, 281, 834, 6826, 9493, 849, 3461, 282, 588, 28344, 707, 12271, 281, 585, 519, 4947, 540, 519, 7083, 2721, 996, 562, 662, 4799, 763, 7556, 568, 513, 942, 540, 18009, 8864, 269, 3973, 519, 4829, 543, 10286, 616, 4628, 2919, 267, 1312, 538, 2450, 543, 2597, 269, 5384, 814, 10917, 1229, 519, 3679, 540, 519, 3039, 4829, 269, 898, 814, 1044, 544, 3641, 539, 543, 21352, 539, 676, 519, 22856, 543, 519, 3002, 540, 519, 4832, 269, 634, 3141, 814, 512, 842, 539, 621, 883, 3638, 4778, 267, 543, 693, 2063, 621, 568, 22691, 543, 4712, 547, 2887, 883, 519, 1688, 269, 1924, 4168, 1272, 11129, 547, 581, 269, 1703, 616, 1082, 1919, 538, 1272, 602, 991, 547, 581, 544, 3641, 539, 543, 18009, 2989, 269, 3509, 10271, 723, 15250, 1841, 2407, 540, 4829, 267, 855, 789, 616, 782, 3039, 267, 543, 8325, 547, 519, 6492, 269, 1703, 568, 1454, 972, 267, 855, 621, 568, 711, 22691, 269, 1703, 568, 513, 1390, 4308, 538, 873, 602, 568, 1434, 267, 855, 621, 568, 18106, 267, 543, 8325, 267, 543, 11877, 269, 1684, 596, 917, 1018, 621, 568, 547, 723, 930, 835, 2097, 909, 547, 596, 543, 1118, 596, 1745, 689, 519, 3346, 609, 741, 6891, 602, 596, 723, 1044, 4189, 11877, 13212, 888, 22818, 1945, 4422, 4636, 538, 707, 6469, 1272, 267, 543, 596, 1205, 1166, 584, 3072, 267, 543, 3444, 267, 543, 6336, 707, 6015, 538, 2696, 267, 543, 1287, 267, 540, 1576, 267, 707, 4168, 7772, 269, 1452, 1919, 3132, 26845, 543, 782, 5686, 540, 3765, 2044, 269, 1703, 616, 1082, 1919, 1554, 1310, 1554, 596, 616, 20994, 585, 269, 1411, 616, 711, 899, 6653, 561, 639, 4109, 13212, 543, 22691, 890, 2851, 269, 898, 11129, 547, 581, 22229, 543, 8645, 782, 519, 1259, 2059, 269, 1411, 917, 596, 616, 711, 22691, 543, 544, 3641, 267, 543, 596, 3112, 1831, 865, 676, 3843, 269, 1411, 3112, 3142, 519, 29284, 538, 282, 621, 1590, 581, 530, 3754, 856, 689, 1369, 563, 2171, 616, 547, 1459, 547, 1866, 711, 1152, 519, 1919, 602, 616, 9237, 543, 540, 1434, 1867, 267, 855, 849, 1346, 1919, 602, 616, 17681, 543, 6653, 269, 1215, 1281, 2696, 798, 713, 538, 2470, 286, 1261, 15920, 519, 3905, 3141, 543, 519, 4764, 2390, 519, 4829, 269, 1358, 616, 7683, 538, 519, 4832, 3002, 269, 1358, 949, 711, 899, 519, 3141, 267, 543, 2119, 547, 12404, 2476, 689, 621, 267, 855, 602, 568, 1018, 18009, 839, 873, 269, 9894, 596, 2479, 4584, 930, 15708, 1055, 513, 4224, 267, 1141, 789, 723, 1044, 14084, 538, 519, 3905, 3141, 2394, 789, 941, 6653, 607, 9932, 286, 3973, 723, 596, 8068, 930, 10271, 4171, 1272, 8604, 547, 581, 7683, 538, 519, 4832, 3002, 267, 543, 723, 596, 8068, 875, 891, 3843, 2833, 616, 1818, 873, 6653, 543, 9543, 888, 1432, 1131, 789, 581, 4502, 1510, 519, 3141, 543, 519, 4764, 269, 898, 568, 891, 1919, 602, 616, 18009, 2287, 4168, 1272, 269, 898, 568, 18009, 2287, 267, 1932, 267, 538, 5933, 269, 3502, 782, 519, 7556, 568, 4712, 593, 519, 1101, 540, 4873, 267, 610, 540, 5147, 267, 610, 4864, 267, 610, 5181, 269, 769, 5239, 519, 3735, 7556, 540, 13212, 568, 10356, 538, 269, 1924, 782, 519, 4832, 1279, 519, 7556, 16569, 269, 4935, 267, 621, 1058, 581, 849, 538, 4168, 1272, 269, 634, 22691, 4829, 786, 711, 782, 2408, 693, 2899, 269, 2368, 540, 621, 5526, 1310, 1279, 1296, 540, 9015, 543, 4693, 269, 898, 18009, 839, 538, 5933, 607, 1281, 519, 2067, 4829, 269, 2904, 2696, 2285, 721, 9639, 538, 7996, 585, 519, 15657, 540, 930, 540, 621, 563, 3719, 972, 1058, 581, 1945, 22691, 1169, 1032, 269, 1284, 1058, 711, 581, 12946, 3039, 13212, 782, 519, 942, 267, 547, 1118, 1004, 7210, 540, 26601, 5028, 538, 5437, 269, 1403, 519, 3141, 814, 1044, 26124, 1524, 2620, 883, 707, 2295, 267, 621, 1058, 3132, 20649, 1144, 612, 972, 269, 1703, 1058, 581, 1945, 22691, 538, 596, 782, 519, 942, 267, 4352, 519, 29659, 5613, 786, 2408, 693, 519, 1439, 540, 519, 1032, 269, 769, 21157, 693, 519, 21649, 540, 21741, 1716, 8163, 267, 782, 519, 5613, 941, 10356, 538, 269, 634, 2407, 1145, 540, 519, 1032, 781, 7556, 729, 538, 519, 6095, 1676, 267, 543, 1287, 609, 8964, 543, 556, 14765, 6005, 519, 1004, 4682, 909, 547, 13243, 547, 1832, 519, 21649, 563, 763, 1554, 786, 2097, 267, 11537, 267, 950, 649, 267, 1932, 267, 4927, 581, 8052, 1117, 538, 3043, 3775, 525, 267, 543, 267, 609, 27374, 538, 938, 3946, 267, 649, 4927, 2743, 538, 519, 24656, 569, 13243, 547, 1832, 519, 21649, 540, 21741, 1716, 8163, 269, 2311, 602, 942, 621, 4927, 581, 1767, 540, 3571, 28099, 14855, 543, 1350, 528, 1881, 25598, 281, 834, 5445, 4927, 14000, 1100, 811, 267, 9444, 19818, 1022, 811, 267, 9444, 4927, 519, 3141, 1769, 593, 873, 267, 6862, 1022, 3002, 1701, 3657, 596, 3478, 4712, 585, 713, 32219, 7556, 1554, 286, 3657, 596, 3478, 22691, 267, 543, 13035, 267, 543, 3461, 267, 543, 4619, 16124, 286, 3657, 596, 3478, 1945, 12306, 267, 1022, 6011, 267, 538, 707, 4168, 1915, 286, 3657, 596, 3478, 3964, 543, 6378, 3942, 676, 3942, 286, 898, 568, 1018, 2696, 26770, 540, 596, 269, 3245, 586, 16093, 6531, 4906, 267, 13924, 1345, 267, 786, 2408, 930, 1554, 547, 5531, 538, 519, 7556, 540, 519, 5783, 269, 898, 568, 711, 3039, 13212, 267, 15983, 267, 596, 2503, 13924, 547, 2322, 538, 3571, 6095, 1676, 269, 3657, 596, 7996, 585, 3571, 17729, 267, 5462, 547, 1577, 519, 3141, 543, 519, 15420, 723, 741, 5497, 1198, 538, 6653, 2287, 543, 18009, 2287, 596, 543, 1818, 596, 4712, 585, 602, 25552, 1554, 888, 1607, 942, 540, 556, 12686, 568, 547, 581, 513, 942, 540, 9668, 849, 269, 634, 669, 3530, 568, 547, 581, 9141, 2476, 689, 519, 10568, 269, 634, 20549, 568, 547, 581, 16207, 2476, 269, 901, 4605, 6645, 721, 540, 2300, 1707, 607, 1134, 607, 3824, 1430, 532, 269, 1703, 616, 1079, 3771, 341, 3949, 3254, 721, 1934, 609, 513, 1360, 2312, 3017, 1063, 873, 269, 634, 2063, 616, 547, 581, 10356, 607, 1134, 607, 519, 25598, 540, 519, 7083, 269, 634, 1101, 4605, 568, 540, 519, 7556, 540, 519, 3618, 267, 543, 713, 568, 10356, 676, 519, 12312, 540, 2494, 267, 945, 4422, 8521, 609, 3571, 31724, 543, 5531, 338, 538, 519, 22691, 7556, 269, 634, 2034, 835, 568, 519, 21305, 540, 519, 3618, 799, 568, 10356, 711, 676, 519, 7083, 4906, 267, 855, 676, 519, 21425, 540, 10385, 269, 634, 12312, 540, 2494, 568, 711, 2366, 547, 798, 713, 960, 282, 621, 568, 1152, 606, 21425, 945, 1281, 621, 269, 1548, 568, 2944, 609, 519, 21305, 286, 898, 568, 711, 3144, 909, 609, 519, 1390, 2754, 540, 3043, 268, 549, 5523, 25598, 267, 855, 621, 568, 16207, 883, 519, 1390, 9174, 1790, 816, 540, 519, 32716, 540, 2696, 267, 543, 519, 10816, 956, 540, 519, 9640, 616, 838, 13593, 609, 519, 1973, 585, 519, 2230, 540, 476, 8182, 271, 9663, 14075, 338, 269, 901, 568, 519, 7556, 540, 10385, 519, 3824, 1430, 532, 540, 9409, 799, 519, 23109, 616, 547, 1491, 856, 689, 519, 1158, 563, 5472, 945, 2648, 711, 519, 5168, 267, 855 ]

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

[ 17779, 607, 513, 14323, 4244, 7778, 547, 4998, 1143, 269, 1924, 1946, 568, 621, 1271, 585, 1523, 5159, 267, 3059, 5159, 267, 543, 4888, 312, 5159, 547, 1353, 17779, 286, 1284, 4076, 2854, 2143, 8039, 593, 1312, 519, 4137, 3126, 543, 519, 14169, 3126, 865, 2638, 856, 1346, 4930, 952, 596, 723, 1100, 2856, 875, 547, 1376, 609, 17779, 543, 1522, 1616, 930, 3381, 6030, 585, 5583, 269, 769, 824, 1913, 267, 649, 2461, 538, 519, 2259, 540, 2870, 1919, 602, 1810, 1406, 2291, 269, 31327, 519, 25954, 540, 17779, 538, 519, 3308, 6575, 267, 519, 3203, 20622, 531, 4741, 630, 2752, 290, 1070, 513, 476, 26341, 18154, 7565, 274, 1070, 1875, 17416, 267, 3872, 5748, 267, 14747, 519, 4102, 2228, 9754, 6131, 547, 1483, 626, 1148, 1152, 543, 2882, 1568, 676, 519, 2025, 18544, 267, 476, 866, 628, 2540, 267, 543, 4207, 1483, 1235, 607, 1134, 607, 4930, 267, 5022, 543, 824, 2228, 2200, 269, 1411, 666, 723, 782, 519, 8247, 538, 519, 1158, 855, 596, 991, 519, 2565, 1983, 547, 1246, 998, 593, 707, 8247, 269, 634, 957, 540, 5137, 568, 711, 606, 2653, 2816, 267, 855, 607, 10648, 267, 835, 1590, 3802, 602, 5386, 1899, 1063, 1932, 2370, 543, 1932, 1454, 269, 898, 6766, 6764, 1833, 1143, 910, 1294, 267, 585, 3236, 267, 30527, 547, 6764, 1833, 1143, 630, 8146, 271, 268, 5002, 271, 264, 910, 543, 1896, 824, 2413, 1148, 6163, 267, 971, 607, 7377, 5025, 4135, 269, 16440, 1250, 2012, 267, 4757, 267, 543, 3896, 538, 713, 11422, 585, 519, 1985, 942, 594, 6085, 269, 898, 779, 1187, 547, 4603, 543, 1404, 1472, 543, 6445, 17250, 9248, 609, 2259, 12400, 269, 18266, 2968, 1226, 730, 609, 13597, 543, 5609, 1356, 640, 267, 519, 6305, 18144, 540, 519, 7464, 626, 7376, 945, 15653, 519, 533, 517, 322, 604, 540, 2866, 543, 4121, 4480, 269, 12253, 23205, 3279, 2324, 593, 513, 10853, 7206, 269, 1403, 707, 8247, 568, 547, 1711, 7493, 1148, 267, 596, 1869, 723, 547, 4487, 519, 824, 2565, 1983, 1317, 972, 781, 1100, 1259, 585, 18825, 547, 917, 952, 596, 2965, 1565, 8259, 789, 666, 1294, 519, 3364, 596, 2811, 2324, 593, 267, 543, 707, 8247, 568, 547, 6474, 602, 3364, 269, 6723, 13852, 3298, 910, 1715, 3840, 267, 476, 4489, 272, 20876, 519, 11957, 540, 1656, 596, 1522, 581, 14281, 875, 3533, 596, 2087, 2899, 596, 1118, 17779, 851, 540, 707, 2834, 2259, 269, 634, 7376, 2824, 338, 267, 2242, 267, 543, 2855, 5190, 3877, 547, 2769, 519, 2856, 646, 6499, 547, 1118, 2312, 563, 763, 7376, 1292, 1599, 568, 547, 4766, 8308, 1018, 568, 4767, 998, 519, 12823, 563, 276, 269, 1924, 607, 606, 1383, 267, 952, 596, 1616, 547, 1711, 1945, 4625, 7493, 596, 2811, 2469, 547, 723, 606, 2856, 538, 707, 2212, 540, 1018, 596, 1616, 269, 1879, 596, 2811, 3168, 585, 606, 2069, 267, 621, 781, 1271, 547, 581, 2111, 547, 2268, 707, 1983, 1759, 593, 1018, 596, 2811, 3257, 1317, 519, 1641, 2339, 568, 3362, 6444, 269, 1656, 519, 1259, 602, 596, 917, 568, 602, 741, 960, 568, 5812, 689, 7206, 519, 7206, 269, 589, 4190, 1148, 1106, 9356, 519, 7954, 543, 1931, 540, 519, 7122, 269, 30527, 568, 519, 5730, 267, 2143, 543, 4977, 6041, 538, 1148, 540, 519, 3308, 5920, 540, 10207, 543, 3615, 269, 968, 2414, 519, 1655, 540, 1250, 1702, 267, 594, 1810, 1405, 3494, 621, 781, 2009, 547, 1451, 1148, 1510, 1565, 17779, 1701, 269, 30527, 3069, 538, 3486, 1894, 568, 519, 1034, 8789, 1153, 540, 2219, 1310, 2622, 2782, 4083, 543, 2394, 1631, 621, 814, 10083, 538, 519, 1459, 3486, 6214, 269, 2755, 519, 5396, 949, 3006, 2408, 10169, 18935, 1242, 267, 17779, 11394, 547, 1459, 5396, 607, 789, 1413, 538, 1483, 1272, 269, 901, 3085, 1405, 1611, 602, 596, 991, 547, 946, 17779, 2663, 593, 269, 1452, 5159, 1174, 4010, 1018, 789, 2811, 3257, 855, 789, 4769, 1405, 1451, 602, 998, 7493, 7206, 269, 1306, 649, 723, 513, 1793, 25830, 538, 7849, 1143, 268, 2048, 7982, 547, 7186, 2048, 1107, 538, 30527, 649, 723, 513, 1793, 25830, 268, 8072, 12085, 2864, 589, 20840, 566, 540, 7327, 983, 11957, 269, 12830, 5515, 538, 519, 7464, 626, 1148, 3350, 941, 29775, 1511, 3938, 321, 564, 267, 12968, 648, 20707, 636, 1512, 267, 543, 14639, 6363, 3757, 1723, 529, 6660, 2280, 269, 1411, 2461, 971, 513, 1434, 7376, 12175, 2060, 3223, 523, 17607, 540, 519, 5295, 540, 3689, 6764, 11306, 269, 30527, 3459, 607, 513, 25992, 3350, 538, 1148, 538, 519, 22733, 2540, 269, 14639, 6363, 3757, 9809, 12251, 6660, 2280, 630, 23210, 281, 1496, 332, 559, 32723, 22049, 5239, 476, 275, 267, 476, 8687, 275, 12882, 5130, 476, 736, 267, 476, 6942, 276, 264, 729, 513, 3943, 18048, 543, 835, 540, 519, 27428, 540, 519, 15016, 714, 517, 1153, 538, 6917, 5333, 269, 30527, 568, 782, 827, 23578, 547, 519, 2596, 267, 10853, 1106, 543, 1818, 621, 960, 1101, 269, 634, 962, 690, 328, 269, 2413, 1148, 769, 5375, 7206, 281, 3203, 543, 7082, 1143, 281, 3943, 543, 7969, 1148, 538, 519, 476, 4198, 271, 338, 634, 3943, 715, 537, 557, 879, 681, 2946, 531, 626, 324, 12462, 6124, 7464, 626, 14615, 1895, 729, 540, 3844, 2956, 267, 922, 1034, 7986, 2818, 1373, 962, 1407, 21890, 514, 267, 1488, 2006, 630, 30265, 663, 22513, 663, 14162, 1070, 14639, 570, 532, 826, 569, 267, 543, 12253, 1975, 334, 518, 686, 269, 10266, 1562, 945, 941, 2047, 6766, 676, 713, 1974, 1331, 654, 1231, 869, 25264, 543, 7338, 661, 752, 1231, 267, 4171, 1148, 729, 519, 1101, 547, 14773, 519, 4473, 540, 1977, 30527, 269, 30527, 568, 827, 13156, 519, 1158, 538, 2474, 540, 1018, 513, 1268, 2833, 998, 741, 12823, 269, 30527, 21256, 538, 11685, 547, 21434, 1143, 267, 799, 1185, 13856, 3943, 3332, 543, 1148, 2094, 519, 3735, 476, 1240, 628, 2540, 269, 1411, 1616, 707, 960, 547, 581, 1759, 593, 707, 8247, 269, 3371, 616, 930, 4191, 547, 1413, 585, 269, 1411, 2461, 2469, 547, 1616, 547, 2482, 513, 5748, 543, 1628, 19756, 6821, 1354, 596, 1589, 827, 24095, 532, 267, 5862, 4778, 267, 543, 7450, 5679, 984, 6163, 269, 30527, 1148, 18791, 543, 554, 2158, 519, 1983, 12882, 22935, 1452, 616, 782, 3029, 540, 17779, 799, 2832, 547, 7001, 519, 1641, 538, 513, 10853, 2511, 267, 543, 7654, 547, 9446, 519, 1641, 538, 513, 1259, 602, 19306, 519, 19178, 540, 1272, 269, 1656, 865, 538, 1931, 547, 1118, 1148, 630, 31347, 621, 781, 5409, 3146, 16117, 610, 1256, 693, 519, 2484, 1439, 540, 519, 8552, 267, 2407, 1532, 31500, 27727, 264, 596, 723, 547, 723, 606, 8247, 269, 634, 5548, 6510, 4032, 28312, 540, 25828, 781, 661, 671, 652, 667, 5922, 269, 1452, 1806, 616, 689, 6144, 320, 543, 689, 2959, 593, 519, 1357, 269, 901, 568, 1317, 621, 779, 513, 2603, 9875, 547, 2721, 1945, 689, 707, 2212, 982, 1945, 602, 779, 1318, 538, 4395, 540, 596, 269, 769, 1148, 267, 713, 18922, 547, 26841, 540, 3615, 607, 789, 616, 269, 28270, 323, 565, 332, 752, 1654, 1775, 30755, 548, 516, 751, 9383, 604, 2357, 1889, 330, 3331, 376, 29290, 714, 323, 597, 269, 4495, 596, 4076, 27058, 25718, 1919, 689, 1272, 596, 666, 1376, 547, 1404, 609, 873, 269, 5084, 23615, 2316, 306, 4932, 19006, 281, 11957, 540, 30527, 538, 17323, 256, 634, 7376, 18466, 32109, 538, 1010, 1148, 960, 267, 12882, 763, 20520, 540, 14088, 5889, 9356, 2390, 519, 4332, 540, 14088, 630, 7049, 8412, 476, 273, 281, 278, 264, 1247, 9001, 4162, 540, 11193, 1148, 267, 971, 607, 17779, 267, 543, 5133, 267, 543, 568, 22566, 540, 11193, 5274, 1143, 998, 922, 15819, 540, 519, 5137, 540, 812, 269, 30527, 568, 16561, 519, 2168, 4641, 936, 11509, 16431, 269, 2334, 779, 9985, 5386, 543, 596, 3580, 1294, 891, 4773, 538, 15882, 1472, 519, 1158, 269, 898, 568, 3294, 513, 24182, 538, 1148, 1686, 267, 585, 621, 568, 513, 4686, 3978, 2126, 540, 519, 2956, 543, 4644, 540, 19511, 17779, 269, 2353, 10367, 616, 16922, 540, 1614, 3001, 2694, 281, 596, 723, 1871, 267, 2681, 267, 543, 6316, 269, 898, 729, 513, 1463, 8086, 540, 1018, 1185, 1044, 4767, 538, 519, 1158, 998, 14485, 602, 11292, 9458, 513, 3020, 547, 1272, 2070, 269, 1411, 3580, 1205, 1732, 693, 5373, 13514, 543, 3615, 596, 4076, 2760, 2938, 1354, 1317, 596, 3580, 723, 513, 9522, 540, 17779, 1995, 547, 2721, 689, 269, 16071, 267, 538, 13830, 519, 1570, 267, 519, 7252, 540, 4641, 267, 666, 3111, 547, 726, 3518, 891, 17909, 269, 1280, 1272, 5373, 2259, 594, 4481, 4363, 519, 4137, 1576, 543, 519, 14169, 1576, 269, 6056, 540, 10853, 23609, 267, 8916, 267, 543, 1869, 1272, 10367, 269, 634, 717, 14211, 619, 30310, 281, 14639, 6363, 3757, 9809, 12251, 6660, 2280, 3487, 540, 513, 834, 13700, 559, 9609, 257, 540, 10367, 14120, 5333, 781, 6917, 3954, 714, 839, 267, 634, 717, 14211, 619, 5713, 607, 1945, 540, 513, 21522, 20805, 656, 547, 3938, 321, 564, 781, 634, 12942, 6601, 5474, 630, 7277, 280, 268, 2004, 1040, 594, 569, 320, 3115, 514, 2968, 519, 1034, 9976, 18048, 540, 1010, 942, 538, 6576, 585, 1010, 25091, 26007, 540, 32066, 5389, 543, 1970, 11665, 4074, 269, 3203, 540, 519, 546, 27681, 17779, 3942, 7436, 519, 5912, 1063, 1148, 607, 17033, 12572, 547, 1148, 607, 513, 3860, 17752, 269, 1809, 547, 798, 602, 1134, 596, 4076, 3893, 547, 917, 1018, 596, 2461, 3257, 269, 898, 779, 711, 606, 21903, 267, 610, 968, 718, 538, 938, 8186, 1848, 634, 11957, 540, 22895, 11208, 15760, 808, 7495, 312, 8946, 6865, 4916, 2177, 795, 1328, 628, 15106, 691, 2593, 4989, 476, 277, 540, 713, 9490, 1032, 267, 476, 1708, 271, 267, 594, 4121, 540, 519, 8429, 540, 1250, 21927, 267, 7376, 12253, 661, 5682, 324, 269, 30527, 3203, 17959, 543, 8466, 11957, 281, 634, 1158, 540, 519, 4571, 268, 866, 628, 2540, 729, 835, 540, 7920, 1689, 267, 7487, 519, 4417, 540, 22713, 267, 519, 6694, 3684, 267, 543, 519, 2333, 538, 5095, 3001, 689, 6917, 2127, 883, 519, 4872, 269, 1809, 17779, 568, 1419, 519, 1565, 2666, 585, 5159, 540, 1022, 5420, 2094, 8026, 689, 1272, 568, 519, 1883, 547, 4742, 5963, 9952, 269, 634, 6587, 540, 17779, 568, 535, 1023, 8864, 267, 14810, 267, 610, 535, 752, 2044, 269, 634, 11957, 540, 22895, 11208, 269, 7102, 7853, 666, 12235, 5862, 693, 513, 17198, 855, 519, 1267, 568, 4351, 269, 5637, 6030, 960, 689, 2661, 3631, 543, 1312, 1152, 4001, 17779, 865, 891, 616, 899, 18849, 3786, 2866, 6030, 547, 2087, 707, 1983, 3728, 269, 594, 786, 630, 272, 264, 1865, 476, 1556, 4128, 1946, 594, 1589, 6138, 568, 1271, 267, 630, 273, 264, 1683, 2963, 602, 6138, 2640, 1004, 267, 543, 630, 274, 264, 9718, 7464, 1235, 15653, 21434, 1143, 267, 799, 1185, 13856, 3943, 3332, 543, 1148, 2094, 519, 2038, 476, 866, 628, 2540, 269, 4989, 476, 277, 540, 713, 9490, 1032, 267, 476, 1708, 271, 267, 594, 4121, 540, 519, 8429, 540, 1250, 21927, 267, 7376, 12253, 661, 5682, 324, 269, 4107, 14810, 7068, 2671, 930, 10486, 609, 1483, 1272, 7068, 269, 898, 666, 581, 2938, 602, 585, 17779, 972, 568, 7954, 540, 7634, 607, 1134, 607, 513, 7954, 540, 7744, 269, 22216, 7815, 8350, 900, 680, 12251, 5330, 656, 20221, 11957, 540, 17779, 1148, 522, 340, 2377, 879, 7815, 1147, 682, 7132, 6264, 15292, 2946, 632, 28479, 766, 14193, 544, 27475, 513, 11355, 7132, 632, 476, 1240, 6634, 546, 262, 6374, 12251, 269, 634, 17779, 540, 713, 24575, 568, 711, 1813, 547, 1018, 568, 13556, 267, 855, 875, 621, 568, 13556, 269, 769, 713, 2631, 267, 30527, 10630, 513, 11636, 543, 3810, 9565, 6521, 538, 519, 4644, 543, 1599, 540, 1148, 538, 2489, 267, 1519, 3332, 607, 1134, 607, 5386, 1148, 269, 769, 3059, 1148, 649, 6108, 513, 2603, 540, 942, 1818, 909, 28531, 10600, 267, 7068, 267, 543, 3197, 269, 4634, 952, 519, 3337, 568, 7494, 4389, 610, 7494, 27105, 267, 519, 7376, 4440, 3884, 1406, 4946, 6091, 543, 7633, 538, 4025, 1141, 789, 1810, 1406, 2965, 2291, 1765, 684, 1652, 789, 2461, 2870, 513, 1007, 13442, 267, 855, 1256, 1287, 621, 779, 1869, 593, 3483, 609, 1702, 540, 26715, 3877, 269, 6423, 811, 540, 1200, 960, 693, 8940, 269, 629, 580, 841, 745, 1375, 2593, 269, 634, 1148, 1974, 568, 3833, 3982, 689, 519, 8168, 31012, 30527 ]

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

[ 18828, 19544, 23637, 9230, 320, 267, 536, 21875, 825, 1820, 18828, 269, 26383, 14067, 871, 9230, 320, 267, 536, 4297, 9239, 3698, 5044, 306, 5902, 10031, 825, 513, 815, 5286, 269, 28776, 263, 1015, 2608, 5286, 20179, 20179, 9230, 273, 267, 476, 1321, 21875, 825, 1820, 5416, 2020, 825, 1820, 18828, 19544, 20889, 5416, 267, 476, 277, 4917, 825, 1820, 18828, 18192, 20889, 5416, 267, 476, 273, 264, 9239, 3698, 5044, 290, 4878, 10031, 825, 513, 815, 5286, 30784, 1052, 263, 1321, 994, 825, 513, 17482, 815, 476, 274, 267, 476, 275, 454, 825, 1820, 5416, 2020, 825, 1948, 2070, 610, 13719, 5299, 454, 825, 536, 815, 513, 454, 825, 1820, 6357, 568, 513, 994, 825, 1820, 2891, 573, 540, 513, 281, 4939, 338, 257, 4939, 7329, 5416, 4917, 825, 1820, 2891, 573, 540, 536, 281, 4939, 338, 257, 4939, 7329, 6357, 11723, 825, 536, 314, 271, 267, 476, 274, 316, 815, 476, 1911, 454, 825, 1820, 2891, 320, 24097, 333, 24001, 2668, 8971, 5416, 4917, 825, 1820, 2891, 321, 24097, 333, 24001, 2668, 8971, 6357, 11723, 825, 524, 815, 513, 269, 1613, 4590, 825, 1820, 6262, 568, 513, 994, 825, 1820, 2891, 573, 540, 524, 281, 4939, 338, 257, 4939, 7329, 6262, 11723, 825, 1948, 2620, 5299, 454, 825, 5169, 815, 5286, 30784, 1052, 263, 1015, 267, 476, 736, 1040, 31412, 263, 273, 267, 476, 276, 994, 825, 1820, 2891, 10594, 514, 2232, 281, 4939, 338, 257, 4939, 7329, 263, 10594, 514, 4917, 825, 5299, 815, 5169, 6983, 4878, 4590, 825, 1820, 2891, 32476, 2232, 281, 4939, 338, 257, 4939, 7329, 6262, 4878, 4917, 825, 1820, 6262, 4878, 994, 825, 1820, 2891, 32476, 568, 5169, 15079, 2668, 8971, 6262, 4878, 568, 5169, 4917, 825, 1820, 263, 2891, 32476, 12500, 848, 568, 5169, 15079, 2668, 8971, 6262, 4878, 12500, 848, 568, 5169, 4297, 2020, 825, 5299, 314, 271, 267, 476, 275, 316, 815, 476, 1911, 454, 825, 1820, 263, 10594, 514, 994, 825, 1820, 6262, 4878, 9239, 3698, 5044, 5715, 823, 10031, 825, 513, 815, 5286, 30784, 1052, 263, 1321, 994, 825, 1820, 5416, 994, 825, 1775, 815, 5286, 15126, 8443, 271, 267, 476, 274, 267, 476, 275, 267, 476, 276, 7481, 825, 1820, 5416, 5157, 20285, 825, 513, 17482, 815, 476, 273, 267, 476, 277, 454, 825, 1820, 5416, 994, 825, 1775, 815, 5286, 15126, 31912, 271, 267, 476, 271, 3910, 1496, 272, 267, 476, 272, 316, 7481, 825, 795, 815, 5286, 15126, 31912, 274, 267, 476, 275, 3910, 1496, 274, 267, 476, 275, 316, 7481, 825, 1820, 5416, 5157, 267, 795, 316, 9239, 3698, 4238, 273, 10031, 825, 23288, 825, 2415, 2381, 454, 825, 2415, 10946, 454, 825, 524, 4548, 636, 454, 825, 886, 454, 825, 1611, 543, 3328, 454, 825, 1875, 14706, 454, 825, 4990, 454, 825, 1098, 2821, 281, 22614, 509, 358, 421, 502, 369, 420, 377, 361, 419, 377, 362, 454, 825, 17157, 1384, 825, 2433, 8873, 912, 825, 23288, 825, 513, 815, 5286, 30784, 1052, 263, 1691, 267, 476, 273, 267, 910, 272, 1040, 31412, 9230, 274, 267, 476, 275, 4917, 825, 1820, 5416, 2020, 825, 1820, 2891, 31006, 27962, 30317, 27381, 510, 27381, 351, 19764, 499, 281, 14307, 513, 27769, 10946, 15405, 825, 1820, 2891, 31006, 16533, 493, 30317, 27381, 510, 27381, 351, 19764, 499, 281, 14307, 513, 27769, 2381, 15405, 825, 1820, 2891, 27381, 363, 20693, 510, 29219, 281, 14307, 513, 6983, 4548, 636, 15405, 825, 1820, 2891, 27381, 363, 26266, 362, 29219, 281, 1422, 333, 2580, 5286, 6155, 858, 5416, 4297, 476, 1948, 476, 12571, 492, 22047, 16583, 493, 31308, 375, 31176, 491, 22047, 454, 825, 1820, 2891, 23946, 367, 417, 507, 485, 29219, 281, 14307, 5286, 32557, 5416, 4917, 825, 1820, 2891, 23946, 367, 417, 507, 485, 29219, 281, 14307, 5286, 18502, 2071, 5416, 4917, 825, 1820, 2891, 26406, 496, 31365, 281, 1422, 333, 2580, 5286, 31699, 5416, 4917, 825, 1820, 2891, 420, 377, 361, 419, 377, 362, 24097, 333, 2580, 5286, 6745, 4920, 2821, 5416, 4917, 825, 1820, 2891, 13213, 498, 18713, 508, 30837, 508, 421, 505, 370, 30317, 27381, 510, 12916, 491, 419, 377, 362, 24097, 333, 14307, 5286, 8542, 517, 14706, 5416, 4917, 825, 1820, 2891, 743, 760, 281, 263, 32517, 507, 419, 499, 503, 276, 427, 377, 508, 280, 24724, 315, 333, 2580, 513, 17085, 760, 263, 276, 267, 476, 280, 264, 9239, 3698, 4994, 20779, 334, 273, 10031, 825, 513, 815, 5286, 30784, 1052, 263, 274, 267, 476, 1428, 1040, 31412, 263, 274, 267, 476, 275, 994, 825, 1948, 476, 272, 31428, 782, 2609, 454, 825, 1820, 5416, 2020, 825, 1948, 476, 273, 31428, 2582, 3693, 454, 825, 1820, 5416, 314, 271, 267, 476, 271, 7481, 825, 1820, 5416, 314, 271, 6012, 272, 20285, 825, 1948, 476, 274, 31428, 1142, 4737, 454, 825, 585, 4737, 538, 513, 912, 1038, 1820, 21405, 2020, 825, 1948, 476, 275, 31428, 1142, 6241, 454, 825, 585, 6241, 538, 513, 11053, 281, 476, 1948, 5469, 519, 570, 568, 26627, 27664, 2336, 1038, 1820, 263, 26383, 2020, 825, 1948, 476, 276, 31428, 1142, 6221, 454, 825, 585, 6221, 538, 513, 269, 29788, 281, 1948, 513, 269, 29788, 568, 835, 21021, 5044, 609, 606, 12055, 1807, 454, 1038, 1820, 263, 14403, 9239, 3698, 19467, 20779, 334, 272, 10031, 825, 23288, 825, 476, 272, 18192, 23637, 454, 825, 476, 273, 19544, 23637, 454, 825, 476, 274, 269, 2908, 9471, 454, 825, 476, 275, 26769, 13906, 523, 622, 692, 825, 2433, 8873, 912, 825, 23288, 825, 513, 815, 5286, 15126, 8443, 272, 267, 476, 273, 267, 476, 274, 7481, 825, 536, 815, 5286, 15126, 8443, 275, 267, 476, 276, 267, 476, 277, 20285, 825, 1820, 5416, 267, 513, 17482, 994, 825, 1820, 6357, 267, 536, 17482, 2020, 825, 524, 815, 5286, 18192, 23637, 9230, 320, 267, 536, 4297, 11434, 1948, 7299, 10518, 454, 825, 1820, 6262, 267, 524, 17482, 2020, 825, 513, 272, 815, 513, 18020, 5286, 269, 2908, 9471, 316, 11434, 1948, 8880, 10518, 454, 825, 536, 272, 815, 536, 18020, 5286, 269, 2908, 9471, 2639, 825, 546, 815, 5286, 19544, 23637, 9230, 320, 272, 267, 536, 272, 4917, 825, 1820, 5560, 2020, 825, 1820, 18828, 26769, 13906, 523, 622, 9230, 320, 18020, 5286, 269, 2908, 9471, 3910, 536, 18020, 5286, 269, 2908, 9471, 25818, 7852, 284, 272, 264, 9239, 3698, 8237, 20779, 334, 272, 10031, 825, 513, 815, 5286, 30784, 1052, 263, 1321, 1040, 31412, 263, 274, 267, 476, 275, 994, 825, 1820, 5416, 2020, 825, 1948, 476, 272, 21858, 19794, 263, 21671, 8237, 8449, 994, 825, 1820, 18828, 21858, 5416, 267, 476, 273, 267, 7852, 284, 272, 4297, 567, 1948, 649, 3893, 1079, 1496, 274, 6012, 273, 316, 14249, 454, 825, 1948, 1820, 18828, 18192, 20889, 5416, 267, 476, 273, 11723, 825, 1948, 476, 273, 21858, 23276, 263, 21671, 8237, 8449, 994, 825, 1820, 18828, 21858, 5416, 267, 476, 274, 4297, 567, 1948, 649, 3893, 1614, 1496, 272, 6012, 275, 316, 14249, 454, 825, 1948, 1820, 18828, 19544, 20889, 5416, 267, 476, 274, 11723, 825, 1948, 476, 274, 21858, 693, 786, 454, 825, 1820, 18828, 15126, 5334, 5902, 5416, 267, 476, 274, 267, 7852, 284, 272, 264, 9239, 20889, 20779, 334, 272, 10797, 19638, 19638, 19638, 0, 6112, 6936, 912, 825, 4781, 815, 3403, 2891, 1692, 547, 1820, 1412, 31435, 1158, 262, 286, 315, 333, 4840, 25639, 834, 6358, 476, 476, 271, 281, 835, 1899, 14826, 257, 3097, 25639, 834, 6358, 3436, 271, 281, 1079, 1915, 693, 835, 1899, 14826, 4840, 25639, 834, 6358, 2999, 271, 281, 7299, 14826, 5602, 825, 952, 16216, 1998, 263, 641, 5406, 264, 2652, 476, 271, 2187, 1038, 1820, 2891, 15916, 2622, 5602, 825, 8640, 16216, 1998, 263, 641, 5406, 264, 3436, 476, 271, 2187, 1038, 1820, 2891, 3891, 5602, 1038, 1820, 2891, 961, 5602, 1038, 1820, 2891, 334, 19515, 1038, 1820, 2891, 310, 334, 5602, 1038, 1820, 2891, 337, 331, 5602, 1038, 1820, 3488, 323, 5073, 825, 3116, 912, 1038, 1820, 3488, 295, 262, 266, 257, 315, 928, 257, 266, 257, 315, 333, 331, 257, 266, 257, 315, 333, 331, 257, 266, 257, 315, 7224, 257, 266, 257, 315, 333, 257, 266, 257, 315, 333, 310, 257, 266, 257, 315, 7224, 257, 266, 257, 315, 333, 337, 257, 266, 257, 315, 333, 331, 257, 266, 257, 315, 526, 14826, 8442, 0, 5228, 7954, 269, 845, 3121, 1104, 16754, 7531, 5035, 1955, 18680, 263, 13528, 3121, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 535, 272, 281, 16754, 267, 535, 273, 281, 16754, 2187, 1038, 1582, 8807, 272, 815, 535, 272, 454, 1038, 1582, 8807, 273, 815, 535, 273, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 834, 2891, 1341, 1193, 4311, 8807, 272, 264, 1341, 834, 9847, 834, 1341, 1193, 4311, 8807, 273, 264, 1341, 834, 264, 5016, 825, 1219, 6218, 4311, 267, 2203, 267, 1533, 264, 9847, 536, 944, 912, 1038, 952, 4311, 8807, 272, 4318, 1998, 10663, 263, 16347, 267, 1533, 15892, 2018, 2132, 1582, 8807, 273, 4318, 1998, 10663, 263, 16347, 267, 1533, 994, 1038, 3116, 912, 2018, 2132, 6936, 454, 0, 3698, 1820, 14067, 520, 2524, 5416, 8217, 2187, 825, 1219, 1611, 10857, 2187, 1038, 2132, 2040, 10857, 8358, 6352, 10857, 2020, 825, 1219, 11667, 10857, 2187, 1038, 561, 31699, 4590, 1038, 1647, 815, 7003, 10857, 264, 2260, 273, 454, 1038, 952, 7003, 10857, 264, 260, 273, 2652, 476, 271, 912, 2018, 2132, 630, 331, 314, 332, 1497, 27994, 331, 314, 332, 1497, 266, 272, 8079, 270, 273, 454, 1038, 3116, 912, 2018, 2132, 561, 314, 332, 1497, 266, 272, 2639, 27030, 825, 1219, 7154, 10857, 2187, 1038, 1293, 815, 31460, 1038, 2164, 815, 11713, 1038, 585, 1714, 332, 538, 561, 912, 2018, 952, 1714, 332, 538, 1293, 912, 3546, 1293, 314, 601, 332, 316, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 1293, 314, 601, 332, 316, 815, 476, 272, 454, 1038, 3193, 8548, 1712, 815, 3193, 6262, 870, 269, 11161, 15405, 1038, 585, 737, 267, 341, 538, 1293, 29096, 10031, 2018, 952, 642, 2652, 3193, 8548, 1712, 912, 3546, 2164, 6834, 1496, 330, 2639, 1038, 2132, 2164, 454, 1038, 1948, 3063, 960, 547, 6023, 2789, 12331, 22562, 825, 1948, 29323, 622, 960, 883, 16866, 3252, 454, 825, 1820, 2891, 13614, 281, 834, 1341, 1193, 263, 11743, 5416, 8217, 4297, 1341, 27719, 333, 5602, 825, 1820, 2891, 8469, 1014, 281, 834, 1341, 1193, 263, 4364, 1014, 5416, 8217, 4297, 1341, 27719, 333, 5602, 825, 1820, 2891, 300, 1712, 4433, 2567, 834, 1341, 1193, 9852, 1712, 5416, 8217, 4297, 1341, 27719, 333, 257, 9239, 0, 258, 589, 533, 836, 1090, 568, 513, 4845, 602, 3568, 1169, 2582, 4484, 540, 519, 9904, 454, 258, 693, 2547, 2899, 269, 1280, 1383, 267, 519, 4845, 454, 258, 834, 763, 2656, 6960, 16541, 26357, 936, 519, 27823, 2915, 257, 568, 513, 533, 836, 1090, 2676, 258, 1317, 621, 3096, 519, 5022, 589, 19053, 693, 2547, 2899, 630, 13826, 568, 13061, 1916, 16482, 258, 9717, 513, 5569, 267, 3713, 2436, 610, 711, 621, 568, 513, 533, 836, 1090, 563, 258, 17776, 6936, 952, 621, 568, 267, 8771, 952, 711, 269, 22695, 648, 2338, 543, 18685, 780, 258, 1219, 568, 7272, 836, 1090, 4433, 2187, 258, 672, 2132, 1305, 30415, 269, 869, 27664, 264, 10922, 1305, 4433, 31573, 31156, 5814, 5569, 454, 5228, 10070, 1104, 22388, 7531, 3698, 568, 7272, 836, 1090, 4433, 2187, 825, 2132, 711, 630, 290, 3300, 3488, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 10807, 910, 22388, 4433, 31573, 28829, 9239, 258, 9904, 815, 1412, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 7055, 258, 533, 836, 1090, 815, 834, 763, 2656, 267, 6960, 16541, 26357, 936, 519, 27823, 2915, 30882, 258, 524, 815, 22388, 263, 531, 8224, 264, 910, 22388, 9638, 836, 1090, 31573, 15405, 258, 1820, 6262, 2020, 2745, 30415, 269, 30913, 328, 318, 869, 27664, 2020, 258, 533, 836, 1090, 815, 834, 763, 2656, 267, 6960, 16541, 26357, 936, 519, 27823, 2915, 30882, 258, 4530, 20596, 318, 3225, 1023, 263, 529, 7272, 836, 1090, 9638, 836, 1090, 1070, 6936, 994, 0, 258, 9717, 606, 5044, 267, 1265, 519, 8870, 602, 5526, 606, 9642, 1297, 540, 2053, 563, 16482, 258, 1703, 786, 2141, 581, 1152, 835, 8870, 602, 5526, 606, 9642, 1297, 540, 2053, 563, 5228, 10070, 1104, 22388, 7531, 258, 1219, 1265, 318, 527, 263, 572, 336, 2187, 258, 672, 585, 737, 267 ]

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

[ 811, 18136, 563, 8469, 21778, 10326, 10830, 454, 10214, 1279, 1310, 950, 1101, 519, 5493, 1030, 864, 14612, 519, 18774, 19835, 666, 27267, 267, 7258, 519, 3504, 13009, 267, 2282, 519, 21895, 540, 519, 27513, 540, 519, 2362, 10239, 593, 519, 5045, 2427, 540, 519, 666, 27267, 2282, 715, 574, 16967, 267, 11542, 513, 12566, 3529, 2390, 4171, 17873, 519, 12075, 941, 530, 2632, 547, 1655, 578, 21933, 725, 538, 519, 1106, 540, 536, 3298, 267, 21985, 267, 544, 11484, 28913, 267, 32675, 267, 19273, 610, 10269, 269, 634, 3043, 812, 267, 14322, 602, 519, 5065, 7551, 547, 1045, 5803, 519, 1434, 786, 540, 519, 4279, 13336, 267, 20093, 821, 3585, 1572, 621, 513, 968, 8469, 21778, 10326, 1848, 634, 2025, 631, 1638, 534, 4155, 729, 9112, 936, 519, 6925, 10326, 14629, 269, 4706, 8905, 2482, 1896, 4627, 3952, 689, 13009, 543, 3529, 269, 13488, 532, 1101, 519, 4155, 538, 476, 5908, 276, 267, 543, 2348, 4862, 1945, 540, 519, 10828, 267, 998, 7279, 267, 1250, 3993, 15336, 519, 4095, 13009, 547, 1294, 519, 3529, 269, 594, 993, 5143, 1250, 4064, 267, 855, 1079, 1296, 9907, 1287, 267, 849, 581, 18988, 519, 4583, 12566, 269, 898, 1590, 581, 3020, 267, 2943, 11214, 1250, 3965, 540, 519, 10071, 5526, 547, 1404, 803, 7301, 269, 4634, 513, 6925, 10326, 949, 711, 16641, 11014, 519, 30635, 1137, 540, 942, 543, 7088, 269, 6168, 519, 1032, 476, 6942, 271, 513, 18979, 575, 1446, 540, 2842, 25626, 936, 519, 14629, 543, 950, 621, 1185, 5293, 519, 12155, 17657, 540, 519, 7074, 12566, 729, 17077, 17709, 540, 2417, 9006, 3130, 563, 763, 10828, 7282, 519, 3529, 568, 602, 513, 24116, 10707, 519, 13009, 796, 27665, 2406, 22885, 519, 2856, 540, 12561, 519, 3529, 593, 1283, 540, 519, 14629, 607, 1010, 1843, 540, 2123, 27527, 610, 10847, 269, 10435, 513, 1665, 593, 519, 3529, 267, 1287, 7555, 513, 536, 3298, 14653, 11397, 267, 646, 8929, 606, 15561, 799, 609, 10169, 6397, 6111, 22815, 1027, 922, 4099, 269, 1261, 7608, 713, 607, 513, 1129, 602, 519, 3529, 17019, 1010, 3325, 1370, 658, 544, 1329, 543, 1185, 931, 5034, 547, 581, 13384, 528, 585, 1010, 6228, 269, 1261, 2968, 513, 24116, 267, 1390, 1851, 1010, 1004, 267, 543, 2141, 1310, 267, 950, 8429, 1131, 13793, 930, 18351, 2390, 1010, 3529, 563, 2691, 519, 24116, 1185, 18084, 519, 4158, 5757, 547, 519, 6126, 10122, 2666, 267, 538, 1931, 547, 28511, 1010, 3965, 267, 1010, 14077, 543, 2828, 8164, 693, 519, 3529, 267, 4797, 519, 2688, 646, 1185, 12090, 282, 711, 2705, 267, 538, 519, 3661, 602, 789, 941, 1818, 598, 4290, 328, 2218, 17008, 547, 1022, 16750, 1373, 267, 855, 2864, 267, 713, 1373, 519, 24116, 779, 1152, 15224, 267, 950, 789, 2451, 21797, 972, 267, 789, 941, 10452, 513, 6891, 971, 607, 10268, 538, 519, 1792, 9405, 540, 5810, 2390, 30401, 593, 938, 1378, 17341, 4303, 563, 296, 723, 1224, 1776, 10828, 7282, 519, 4915, 3529, 267, 855, 607, 621, 568, 10423, 569, 519, 1587, 540, 519, 12667, 9345, 540, 930, 824, 982, 606, 4095, 594, 786, 711, 16196, 621, 1934, 563, 22818, 512, 2056, 547, 6086, 5573, 519, 14985, 540, 17629, 3281, 18730, 267, 607, 513, 8007, 862, 839, 23847, 609, 1010, 18163, 1648, 267, 519, 1034, 22543, 520, 580, 762, 540, 519, 3662, 10806, 11392, 689, 519, 4279, 13336, 513, 3304, 9317, 986, 2939, 267, 799, 711, 4805, 2488, 1864, 609, 2347, 4027, 15116, 547, 519, 4170, 540, 1010, 5065, 3693, 267, 855, 799, 814, 1044, 865, 26195, 1221, 676, 519, 561, 3581, 540, 5137, 602, 585, 741, 1378, 4313, 267, 12257, 543, 7443, 789, 723, 4174, 5529, 621, 689, 1864, 676, 519, 2929, 269, 634, 581, 11232, 729, 519, 6305, 24539, 957, 15070, 519, 5322, 540, 519, 911, 13827, 543, 18318, 540, 519, 2038, 9663, 3549, 269, 898, 949, 723, 1044, 855, 2067, 1287, 602, 930, 835, 540, 1346, 9035, 1058, 28069, 4063, 519, 26048, 540, 519, 25170, 799, 8255, 6622, 23702, 519, 18774, 19835, 666, 27267, 2282, 12844, 7534, 607, 23401, 519, 1309, 644, 531, 16289, 720, 540, 519, 1101, 540, 782, 24654, 9663, 15515, 31600, 267, 543, 4061, 4019, 547, 621, 519, 2012, 2142, 320, 3200, 841, 10830, 269, 3245, 519, 942, 538, 476, 7277, 272, 950, 12429, 338, 1546, 3911, 564, 267, 8672, 543, 631, 1263, 541, 7236, 267, 609, 519, 2482, 14552, 9478, 4325, 19816, 543, 654, 269, 4147, 839, 267, 21986, 539, 519, 666, 27267, 1101, 609, 530, 30368, 267, 7047, 338, 543, 6887, 267, 1524, 547, 476, 4489, 280, 950, 519, 1459, 3446, 543, 2759, 941, 3964, 267, 14874, 519, 2025, 18214, 267, 835, 540, 519, 2798, 540, 23487, 267, 8783, 538, 519, 666, 27267, 779, 8574, 585, 519, 9920, 540, 1022, 6174, 267, 5179, 610, 6382, 267, 729, 713, 14629, 267, 1631, 9207, 14653, 676, 1079, 1390, 16749, 25310, 563, 6624, 1296, 3516, 972, 729, 2370, 16025, 610, 11453, 3395, 2390, 519, 25170, 269, 1809, 519, 19619, 6371, 543, 18047, 8057, 1279, 269, 1879, 519, 3762, 12015, 543, 519, 5452, 18009, 2989, 538, 519, 15489, 543, 519, 2842, 6926, 342, 2178, 936, 519, 14629, 267, 513, 15116, 627, 597, 2590, 610, 627, 626, 1782, 6846, 1522, 581, 9571, 676, 1346, 10707, 936, 621, 269, 4475, 519, 12075, 1572, 621, 968, 307, 345, 529, 2389, 10275, 2223, 713, 1373, 741, 7664, 540, 519, 4992, 3812, 563, 763, 12075, 3100, 547, 723, 6976, 1100, 1390, 3007, 547, 20803, 2798, 540, 519, 10239, 269, 1677, 519, 645, 7867, 17848, 2039, 789, 4294, 519, 2012, 968, 2419, 328, 6709, 559, 6709, 559, 10275, 710, 2223, 2495, 4414, 10239, 610, 4414, 16186, 267, 713, 7311, 2864, 2523, 547, 519, 10239, 827, 853, 269, 6307, 779, 30078, 855, 972, 5526, 1100, 1808, 25084, 585, 6778, 10753, 10753, 269, 853, 269, 6307, 779, 30078, 4607, 922, 2012, 689, 930, 835, 540, 519, 20908, 3726, 4651, 267, 4440, 1546, 306, 5471, 5128, 269, 10753, 10753, 814, 1044, 7608, 607, 519, 25084, 585, 602, 8445, 3274, 1317, 540, 922, 1373, 2282, 519, 6908, 543, 14860, 540, 602, 2012, 563, 300, 20667, 543, 14860, 267, 10720, 543, 6908, 267, 938, 25610, 7677, 8460, 1570, 585, 513, 10715, 540, 4277, 1353, 547, 513, 24158, 540, 7186, 543, 1200, 30181, 269, 0, 310, 269, 570, 269, 14408, 311, 2177, 4534, 6245, 278, 454, 314, 26480, 307, 269, 654, 3201, 9898, 570, 2207, 23802, 14408, 311, 2177, 2639, 19688, 476, 736, 267, 476, 8146, 277, 267, 1175, 835, 1554, 1354, 519, 11135, 540, 5842, 10496, 20041, 267, 654, 269, 570, 563, 306, 19414, 729, 4535, 538, 4201, 879, 8615, 6019, 267, 3162, 10491, 269, 769, 476, 6977, 275, 646, 6410, 547, 454, 293, 3271, 5866, 267, 2663, 13984, 519, 8828, 13639, 4659, 693, 12049, 8205, 2676, 2704, 16342, 267, 543, 3576, 513, 1576, 538, 3540, 4702, 269, 1879, 519, 6406, 2782, 13264, 454, 719, 267, 646, 6659, 835, 540, 519, 1101, 3549, 538, 8419, 267, 540, 799, 646, 729, 454, 577, 4923, 23071, 269, 1261, 4718, 3742, 3028, 538, 519, 2112, 267, 729, 20754, 2947, 2053, 2676, 663, 729, 513, 26956, 7466, 269, 1261, 729, 15469, 547, 519, 7584, 540, 2101, 269, 2991, 519, 454, 8705, 646, 729, 7466, 11221, 547, 519, 23328, 267, 543, 1287, 3357, 547, 16803, 538, 454, 6942, 275, 1141, 646, 7722, 538, 5619, 532, 269, 1261, 729, 11221, 10315, 5619, 528, 538, 476, 6942, 279, 454, 663, 729, 1869, 538, 602, 5604, 538, 476, 6245, 278, 269, 898, 568, 1767, 602, 646, 6785, 811, 827, 454, 20129, 2456, 543, 12220, 538, 713, 10315, 982, 1022, 824, 812, 563, 288, 8250, 540, 12650, 269, 590, 19414, 267, 11427, 269, 645, 612, 773, 8805, 267, 1869, 2729, 1934, 269, 3571, 5067, 2676, 307, 549, 641, 267, 2729, 538, 20274, 267, 543, 1010, 1178, 2738, 517, 267, 6833, 787, 267, 2729, 538, 16803, 563, 295, 4456, 6579, 307, 2177, 2910, 7419, 31159, 21832, 306, 4534, 14157, 269, 476, 279, 267, 3143, 269, 1015, 454, 15578, 27334, 299, 307, 2177, 16275, 2316, 313, 2894, 4534, 14157, 269, 476, 1789, 267, 3143, 269, 476, 2537, 454, 295, 15071, 6019, 267, 29255, 454, 293, 27518, 267, 4873, 476, 2190, 267, 476, 4350, 279, 0, 19522, 585, 9185, 454, 2791, 3513, 5469, 930, 3604, 1063, 5616, 25420, 543, 9185, 585, 519, 1357, 269, 3371, 616, 930, 4388, 602, 786, 1118, 707, 5912, 547, 9185, 585, 519, 1357, 4443, 563, 31738, 476, 272, 281, 634, 5851, 9184, 814, 1018, 596, 991, 454, 763, 5851, 9184, 814, 519, 1034, 4749, 1031, 16181, 543, 2934, 281, 1849, 760, 4580, 16181, 630, 3697, 2759, 267, 5299, 267, 13594, 264, 543, 11249, 3681, 630, 3697, 4778, 267, 12972, 267, 543, 1297, 11249, 1916, 13014, 2386, 596, 2638, 856, 519, 1318, 2427, 540, 519, 5851, 9184, 269, 2334, 781, 1141, 596, 666, 7696, 9343, 543, 9587, 267, 2040, 2338, 267, 543, 4990, 563, 31738, 476, 273, 281, 634, 23453, 9184, 568, 585, 7515, 267, 12125, 267, 3092, 563, 763, 23453, 9184, 568, 519, 1747, 547, 7696, 2027, 1919, 267, 899, 7515, 267, 12125, 267, 5409, 31904, 267, 543, 865, 593, 563, 2252, 596, 991, 547, 7696, 9343, 267, 9587, 543, 2281, 267, 1287, 979, 547, 519, 1318, 2427, 540, 519, 5851, 9184, 563, 31738, 476, 274, 281, 10261, 513, 1106, 286, 3399, 609, 513, 5619, 563, 2252, 596, 1616, 547, 7696, 513, 1106, 602, 25173, 1239, 267, 1101, 1711, 513, 5619, 538, 2290, 7804, 633, 267, 676, 14467, 1715, 3436, 9185, 5619, 269, 3973, 596, 3513, 723, 1312, 513, 5619, 543, 513, 23519, 602, 25173, 519, 1239, 689, 519, 5619, 563, 31738, 476, 275, 281, 5131, 4506, 9587, 543, 9343, 693, 519, 1482, 942, 454, 2252, 596, 1616, 547, 19068, 9587, 543, 9343, 693, 519, 1482, 942, 267, 2824, 513, 1591, 602, 568, 2630, 519, 9343, 596, 1616, 547, 19068, 267, 543, 547, 519, 1318, 540, 519, 9587, 596, 1616, 547, 19068, 269, 3973, 4945, 7348, 3436, 5131, 2763, 623, 6951, 3436, 5131, 2763, 623, 6951, 563, 31738, 476, 276, 281, 1411, 666, 6882, 267, 609, 513, 3349, 454, 2252, 596, 991, 547, 6882, 267, 4945, 3330, 930, 1239, 267, 543, 1287, 4945, 23453, 3436, 7305, 269, 2334, 786, 2285, 596, 6882, 16181, 547, 960, 609, 563, 31738, 476, 277, 281, 2913, 16790, 11764, 3713, 707, 2039, 2443, 1100, 5542, 2877, 454, 2252, 596, 723, 2338, 538, 6024, 2281, 267, 1287, 519, 16790, 11764, 7735, 2306, 1919, 4443, 269, 898, 786, 3713, 519, 2039, 547, 581, 2040, 4364, 8850, 269, 769, 713, 1383, 267, 621, 9571, 602, 2281, 595, 273, 998, 595, 278, 2877, 547, 581, 2040, 4364, 269, 1703, 781, 1100, 991, 547, 1826, 538, 519, 1591, 8100, 267, 899, 538, 25420, 563, 31738, 476, 278, 281, 4518, 22356, 454, 9617, 899, 519, 20000, 813, 267, 519, 2290, 7804, 633, 813, 5348, 14369, 6119, 547, 707, 2780, 269, 7046, 11711, 25817, 610, 519, 5839, 4855, 518, 543, 596, 3513, 1294, 519, 2290, 7804, 633, 17835, 593, 519, 2451, 269, 25767, 6119, 883, 713, 17835, 267, 1847, 873, 1472, 267, 543, 865, 593, 269, 1403, 596, 31028, 689, 519, 5769, 267, 596, 666, 1930, 543, 12575, 891, 6119, 22356, 269, 1879, 596, 556, 6618, 267, 789, 3513, 1205, 5348, 1027, 547, 2290, 7804, 633, 269, 0, 288, 6651, 547, 2052, 10109, 529, 543, 14055, 585, 6164, 532, 12870, 454, 9596, 519, 1382, 543, 946, 540, 2052, 10109, 529, 543, 14055, 585, 8156, 12870, 563, 1432, 568, 4965, 888, 12831, 1833, 568, 3989, 676, 519, 32663, 268, 276, 607, 513, 7099, 4524, 602, 5540, 875, 649, 1745, 267, 875, 649, 957, 543, 875, 649, 13789, 269, 12870, 3123, 4606, 540, 18354, 543, 2530, 540, 1719, 538, 1919, 649, 2899, 10150, 269, 898, 666, 849, 1291, 547, 824, 2168, 543, 3929, 2042, 602, 666, 15936, 609, 938, 2702, 547, 1599, 693, 960, 543, 693, 1753, 563, 6097, 547, 519, 1977, 5369, 12278, 5948, 267, 968, 24119, 1833, 5540, 835, 538, 476, 1428, 4079, 630, 277, 269, 278, 8472, 538, 1022, 2016, 1032, 269, 1656, 835, 538, 3670, 1004, 630, 1626, 269, 277, 8472, 786, 1995, 4965, 693, 930, 942, 538, 741, 1272, 269, 12870, 666, 10880, 693, 1022, 942, 267, 855, 593, 3328, 267, 621, 1101, 5526, 1282, 519, 3735, 12322, 547, 4571, 268, 736, 338, 269, 6468, 616, 811, 2693, 982, 2367, 547, 1995, 4965, 269, 2368, 2090, 1397, 602, 835, 21017, 540, 2021, 786, 1995, 513, 2101, 19591 ]

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

[ 6007, 1416, 563, 289, 2660, 625, 1419, 13451, 267, 799, 666, 581, 606, 5393, 13818, 3510, 269, 23996, 3679, 666, 581, 5393, 6757, 543, 2014, 4049, 17236, 952, 621, 2501, 883, 3346, 609, 2960, 269, 5015, 267, 16789, 12871, 1223, 3441, 1312, 3425, 543, 519, 1604, 563, 2005, 814, 513, 3039, 880, 512, 842, 454, 289, 19495, 3679, 779, 2681, 786, 2693, 581, 835, 540, 519, 1101, 1919, 596, 5469, 827, 513, 1007, 6007, 267, 2356, 17729, 2901, 2312, 610, 1769, 12457, 950, 1007, 855, 713, 666, 1689, 936, 942, 543, 609, 6165, 543, 2085, 563, 5278, 6007, 2010, 267, 899, 1291, 14092, 573, 9075, 267, 949, 723, 513, 3039, 880, 27280, 1813, 547, 519, 3114, 7135, 8659, 1369, 741, 3679, 563, 2467, 616, 824, 18707, 540, 6007, 3679, 1932, 282, 930, 8677, 2097, 538, 3109, 1247, 1866, 949, 2408, 5835, 610, 1256, 8869, 1106, 563, 289, 19495, 3679, 568, 3335, 7768, 540, 29809, 16247, 545, 3679, 3435, 267, 799, 568, 1031, 547, 5352, 5201, 676, 3114, 5114, 1063, 1291, 267, 5135, 543, 7250, 538, 519, 3679, 543, 824, 2609, 538, 922, 4542, 563, 331, 603, 1756, 9357, 9075, 267, 1031, 538, 1591, 11436, 267, 24195, 267, 543, 824, 5907, 3457, 602, 946, 22279, 6464, 585, 5106, 267, 949, 711, 581, 607, 1351, 4592, 633, 855, 1869, 10460, 930, 4110, 540, 3595, 1981, 952, 31067, 610, 6534, 2047, 563, 289, 2660, 625, 602, 723, 1831, 26843, 543, 13451, 666, 3132, 3679, 609, 513, 3039, 880, 512, 842, 1813, 547, 17694, 1628, 5346, 282, 547, 7413, 12526, 4598, 607, 1454, 607, 2009, 563, 8448, 2188, 799, 949, 7369, 519, 2681, 540, 6007, 3679, 1331, 922, 3498, 267, 2085, 543, 3441, 269, 1879, 9075, 1376, 682, 1136, 513, 4158, 23469, 5277, 621, 6920, 621, 2115, 13868, 5612, 563, 289, 19495, 3679, 568, 606, 7533, 851, 540, 1082, 2413, 3457, 267, 543, 1620, 1018, 922, 5920, 5654, 899, 786, 1450, 596, 547, 1491, 2556, 15416, 585, 7863, 3054, 543, 707, 1920, 269, 1403, 596, 991, 6351, 9301, 1018, 6007, 3679, 5654, 899, 267, 798, 711, 19292, 547, 5077, 513, 6007, 11285, 585, 5583, 563, 2005, 814, 513, 2178, 9329, 454, 289, 19495, 3679, 32307, 606, 3362, 2369, 529, 762, 9329, 267, 3982, 689, 824, 3114, 30851, 269, 898, 3335, 20998, 16247, 610, 4232, 1084, 4212, 20416, 267, 4470, 593, 799, 6007, 1826, 568, 538, 946, 563, 31367, 17627, 666, 581, 3226, 21898, 16341, 547, 1346, 7092, 689, 7929, 22074, 899, 10447, 610, 1346, 609, 4617, 9641, 267, 607, 1134, 607, 1346, 8886, 762, 11563, 543, 9224, 602, 1291, 547, 23472, 543, 7411, 538, 7244, 269, 898, 849, 8886, 919, 11563, 543, 9224, 5160, 4929, 23472, 543, 7411, 609, 7244, 563, 3412, 9712, 2299, 5957, 8825, 3937, 899, 513, 9633, 952, 6534, 547, 6007, 3679, 543, 3643, 513, 6413, 5612, 269, 4746, 581, 6297, 540, 9363, 2673, 547, 1022, 2127, 602, 1522, 13451, 282, 1832, 707, 3845, 563, 31367, 13137, 8069, 666, 2014, 4049, 17236, 952, 789, 2097, 883, 3346, 609, 707, 2960, 610, 32480, 269, 5015, 267, 789, 949, 1291, 547, 3750, 7063, 607, 1134, 607, 3441, 547, 10153, 16371, 12823, 543, 3441, 10153, 16371, 12823, 563, 289, 2660, 625, 946, 606, 23386, 7768, 540, 1216, 543, 16247, 545, 3679, 547, 1463, 6475, 8928, 1063, 741, 2318, 543, 2942, 23525, 269, 590, 5285, 584, 4249, 606, 7533, 851, 538, 713, 7848, 267, 7700, 547, 922, 3982, 9329, 1107, 1945, 824, 9075, 798, 711, 4865, 563, 306, 5285, 584, 545, 3679, 666, 581, 3810, 1351, 4592, 633, 543, 2014, 2960, 16698, 952, 16789, 569, 17411, 269, 5015, 267, 922, 4527, 666, 581, 9571, 676, 7250, 30423, 3154, 538, 519, 5790, 563, 4322, 6757, 9362, 666, 581, 14124, 547, 10153, 16371, 8219, 267, 7929, 1062, 267, 9667, 8778, 267, 4064, 543, 538, 930, 8320, 1256, 14603, 585, 1346, 2713, 609, 10447, 610, 824, 5761, 2175, 563, 2026, 513, 1267, 267, 621, 568, 3857, 958, 1271, 547, 2697, 543, 9243, 1125, 6007, 3679, 9329, 269, 769, 10821, 5468, 267, 11993, 10433, 610, 16693, 949, 948, 9243, 1125, 621, 282, 1247, 585, 1286, 9075, 513, 7848, 540, 11256, 14614, 543, 1216, 949, 798, 519, 8945, 563, 21446, 894, 10298, 1677, 1763, 9876, 901, 17136, 1403, 3318, 6351, 568, 5551, 547, 8207, 713, 1966, 543, 547, 2149, 1312, 3054, 543, 707, 1920, 2818, 689, 6757, 6464, 602, 1223, 10460, 2800, 267, 2015, 5275, 3318, 2533, 547, 6023, 713, 2339, 3079, 269, 901, 786, 2569, 4220, 547, 1312, 6105, 3238, 563, 11073, 2515, 519, 9329, 267, 581, 13533, 540, 824, 2589, 2404, 609, 513, 17528, 6007, 971, 607, 5122, 14768, 543, 519, 5920, 540, 15309, 593, 4496, 2694, 269, 901, 786, 2285, 606, 4977, 26841, 540, 1018, 519, 1483, 3390, 568, 543, 1450, 596, 547, 1491, 2556, 3800, 9935, 563, 2005, 568, 1351, 4592, 633, 454, 289, 19495, 3679, 568, 513, 3810, 1351, 4592, 633, 1570, 602, 666, 3441, 2960, 267, 4064, 543, 519, 9641, 269, 5015, 267, 6007, 3679, 13514, 3978, 1072, 10898, 547, 2831, 267, 2371, 543, 1004, 543, 1590, 4061, 581, 17411, 5402, 547, 2057, 1761, 1072, 2042, 563, 2026, 922, 2012, 10522, 267, 16247, 545, 3679, 630, 295, 273, 12569, 275, 264, 666, 581, 1500, 883, 8652, 18608, 545, 3679, 676, 8920, 5024, 621, 547, 476, 1789, 268, 2004, 260, 5834, 269, 2755, 711, 607, 3532, 607, 13671, 3029, 540, 16247, 545, 3679, 267, 8652, 18608, 545, 3679, 1869, 814, 3978, 1761, 1072, 5222, 952, 3765, 4310, 16789, 569, 563, 10907, 573, 5834, 9775, 1063, 9075, 267, 865, 621, 568, 1898, 602, 596, 616, 3222, 540, 922, 3169, 2179, 1354, 23312, 609, 946, 269, 1403, 538, 8969, 267, 5077, 513, 3289, 668, 2678, 538, 1931, 547, 2268, 922, 5834, 563, 10111, 9075, 2270, 1291, 14092, 573, 9075, 609, 16247, 545, 3679, 5714, 602, 568, 3810, 1351, 4592, 633, 543, 949, 2014, 4049, 17236, 952, 6534, 2047, 269, 13555, 609, 713, 3679, 1223, 1267, 538, 17236, 547, 707, 2960, 267, 4064, 543, 7929, 1062, 952, 519, 6007, 20984, 5196, 873, 563, 2414, 7413, 713, 1981, 267, 1152, 3442, 9075, 9280, 609, 642, 757, 2966, 547, 5305, 4430, 575, 13293, 883, 519, 5790, 269, 5015, 267, 3888, 606, 7850, 14910, 1062, 543, 798, 711, 3801, 547, 1930, 707, 6007, 1510, 1210, 3617, 3106, 10591, 563, 17357, 12509, 4386, 950, 7250, 3154, 5950, 689, 9075, 23465, 609, 7509, 267, 6070, 610, 824, 2326, 547, 3132, 513, 3114, 5114, 543, 3123, 14809, 269, 901, 949, 2049, 952, 789, 723, 1044, 936, 12737, 539, 610, 6740, 538, 3905, 543, 3819, 5054, 585, 6905, 5712, 563, 17357, 12509, 2451, 31250, 666, 2144, 1712, 6007, 23525, 543, 11904, 707, 6007, 1875, 10818, 531, 1107, 26089, 811, 14427, 543, 942, 21791, 18203, 593, 707, 6174, 563, 19675, 596, 2097, 883, 3346, 609, 6007, 3679, 267, 621, 568, 16122, 602, 596, 11547, 2476, 609, 3579, 1216, 5612, 543, 3346, 2564, 948, 607, 519, 8781, 3679, 1223, 3548, 2476, 693, 2960, 543, 581, 5739, 547, 4064, 563, 289, 9506, 3679, 666, 8886, 622, 707, 7929, 8778, 543, 2014, 7244, 2042, 267, 5323, 565, 532, 543, 11563, 543, 5023, 11926, 1107, 5732, 1256, 3170, 1275, 952, 3144, 23254, 14260, 563, 289, 2660, 625, 1058, 2760, 581, 2016, 547, 1453, 607, 9162, 282, 2523, 952, 519, 6007, 3568, 3679, 610, 824, 6757, 2326, 602, 1223, 1439, 9734, 741, 9641, 543, 9667, 1949, 269, 0, 18455, 513, 3811, 1788, 9614, 3340, 513, 2189, 5578, 1305, 602, 10905, 2930, 6791, 267, 5718, 5759, 267, 543, 2500, 2792, 269, 5741, 9946, 1404, 513, 2629, 1909, 538, 4058, 267, 22589, 267, 543, 12419, 3785, 593, 942, 543, 1369, 6578, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1898, 1983, 602, 1169, 1788, 9614, 1058, 4865, 547, 14133, 538, 741, 1909, 563, 272, 269, 5741, 12020, 543, 9257, 10341, 454, 19061, 4058, 543, 3919, 1983, 616, 4909, 547, 519, 1967, 540, 1022, 1788, 269, 589, 1788, 9614, 1058, 581, 740, 30794, 693, 912, 268, 12861, 1788, 4566, 609, 2312, 6859, 267, 5838, 1963, 267, 28868, 267, 543, 19325, 563, 268, 27915, 1524, 1950, 3785, 883, 19242, 4247, 543, 26471, 9021, 547, 2319, 2818, 563, 268, 4165, 4602, 908, 4220, 543, 3384, 20314, 1890, 4566, 563, 268, 19737, 1788, 2200, 3927, 267, 1519, 22343, 543, 20319, 563, 273, 269, 15557, 543, 12243, 5004, 10341, 454, 2026, 513, 1788, 9614, 267, 596, 616, 3743, 585, 3056, 543, 13057, 707, 2319, 2509, 1788, 1967, 269, 16200, 5718, 543, 2319, 2359, 1983, 1331, 912, 268, 6184, 25378, 543, 30070, 2319, 2818, 547, 1685, 693, 741, 1655, 563, 268, 11120, 22626, 2500, 2792, 543, 5698, 1369, 519, 2319, 563, 268, 1546, 5586, 908, 4247, 1759, 593, 1367, 9342, 543, 1983, 563, 268, 1763, 6295, 7526, 543, 5009, 513, 2318, 2319, 2528, 563, 268, 21278, 16268, 5955, 543, 9301, 2319, 2818, 685, 10781, 563, 274, 269, 9442, 543, 853, 820, 14516, 5004, 10341, 454, 19931, 2792, 568, 4105, 585, 1788, 1967, 269, 5741, 9946, 1058, 4865, 2178, 2792, 543, 30393, 2359, 1983, 267, 971, 607, 912, 268, 22682, 13994, 6819, 1788, 3853, 267, 6788, 267, 543, 3356, 547, 8639, 563, 268, 15765, 6947, 543, 1620, 519, 2115, 543, 4145, 540, 2319, 2818, 543, 8639, 563, 268, 29114, 1681, 2792, 6163, 543, 2409, 547, 1114, 9458, 563, 268, 8490, 543, 4509, 3347, 609, 7218, 267, 13384, 832, 267, 543, 824, 8639, 563, 268, 11120, 22626, 11327, 11401, 543, 4180, 2500, 1344, 2095, 1369, 519, 1788, 2319, 563, 275, 269, 9046, 4149, 6295, 543, 17423, 5336, 1136, 10341, 454, 19061, 338, 1419, 7237, 2591, 543, 9465, 2059, 519, 1259, 269, 5741, 9946, 1058, 581, 9952, 538, 912, 268, 17291, 543, 7421, 2042, 267, 543, 3384, 3860, 3435, 563, 268, 10435, 5483, 3664, 1759, 593, 1239, 267, 2079, 267, 543, 2565, 3206, 563, 268, 26875, 1944, 4247, 543, 2200, 547, 2743, 1788, 6859, 563, 268, 11154, 532, 547, 4657, 6381, 543, 5883, 1788, 9165, 3927, 563, 268, 4804, 689, 2250, 2833, 543, 11179, 5355, 3157, 563, 276, 269, 11485, 5004, 10341, 454, 31572, 4220, 568, 513, 2565, 2460, 540, 1788, 2359, 269, 589, 9952, 1788, 9614, 1058, 581, 21295, 538, 912, 268, 17291, 1761, 4220, 543, 10647, 1981, 10526, 563, 268, 15043, 1981, 17846, 2994, 543, 20314, 1890, 4566, 563, 268, 16424, 543, 9013, 4220, 2429, 519, 1788, 29488, 563, 268, 1160, 26754, 5466, 2152, 602, 949, 1764, 1788, 28868, 610, 5838, 1963, 563, 268, 4004, 21899, 1981, 4567, 543, 17846, 4566, 547, 8639, 563, 277, 269, 14502, 11310, 543, 16869, 1047, 454, 16352, 513, 4396, 1620, 540, 519, 2930, 3344, 1644, 547, 519, 1788, 6389, 568, 1898, 585, 2500, 1788, 2359, 269, 901, 2882, 912, 268, 19361, 640, 609, 1788, 2359, 16097, 543, 10850, 630, 324, 3052, 1421, 3397, 850, 267, 4826, 6420, 1916, 268, 11310, 540, 4143, 2645, 543, 4066, 1031, 538, 1788, 2359, 563, 268, 4197, 2872, 10391, 4441, 543, 6042, 563, 268, 18227, 909, 3562, 15082, 609, 6932, 3466, 543, 7760, 538, 1788, 2359, 2853, 563, 18455, 513, 3811, 1788, 9614, 3340, 513, 11684, 5578, 1305, 21214, 1788, 4058, 267, 5718, 267, 2792, 267, 1966, 9010, 267, 1981, 2359, 267, 543, 2930, 6791, 269, 1635, 28798, 891, 1983, 267, 1788, 9946, 666, 6330, 519, 10848, 540, 1788, 2359, 267, 1291, 741, 6887, 609, 6015, 267, 543, 5838, 3811, 4093, 269, 23120, 1565, 267, 1582, 21553, 2889, 22777, 267, 543, 4052, 3498, 540, 891, 1983, 616, 1883, 547, 4742, 606, 11108, 1788, 9614, 538, 1022, 2872, 563, 2026, 606, 8835, 21133, 649, 7118, 689, 27216, 16306, 998, 930, 6402, 538, 938, 4930, 269 ]

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

[ 269, 12763, 519, 11056, 942, 540, 519, 17830, 585, 1114, 5119, 7306, 543, 5635, 519, 2773, 563, 274, 269, 3503, 606, 7046, 12710, 17830, 602, 15824, 3239, 28708, 269, 12763, 519, 11056, 942, 540, 519, 17830, 585, 1114, 3239, 7306, 543, 5635, 519, 2773, 563, 275, 269, 3503, 606, 7046, 12710, 17830, 602, 15824, 513, 3728, 22263, 2981, 630, 293, 10499, 1040, 12763, 519, 11056, 942, 540, 519, 17830, 585, 1114, 5365, 13080, 543, 5635, 519, 2773, 780, 2162, 22108, 692, 265, 7046, 12710, 14691, 6651, 281, 589, 24732, 6823, 13979, 676, 589, 10762, 629, 16189, 3333, 328, 267, 31409, 717, 2120, 267, 30227, 4223, 1206, 517, 267, 543, 6276, 674, 2426, 454, 265, 12877, 15411, 12710, 14871, 6651, 281, 2999, 10059, 2517, 25269, 18210, 6745, 6509, 19709, 270, 6853, 13449, 743, 270, 11417, 265, 7046, 12710, 10410, 2305, 281, 2999, 10059, 2517, 4178, 269, 16223, 1258, 657, 3820, 270, 2958, 3588, 270, 15411, 12710, 4882, 701, 14369, 270, 273, 269, 273, 270, 6255, 6447, 270, 15411, 12710, 318, 4338, 296, 11258, 285, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 2118, 815, 804, 14389, 14533, 263, 1440, 326, 267, 1412, 8999, 262, 1040, 1326, 318, 1740, 14682, 4981, 318, 16769, 263, 26444, 2018, 804, 21993, 14533, 318, 1740, 14682, 4981, 318, 16769, 10422, 3918, 29052, 305, 3633, 318, 310, 3036, 298, 318, 294, 4629, 16810, 318, 10485, 30438, 318, 300, 8085, 2316, 303, 4041, 267, 26444, 2018, 3926, 2020, 1038, 1820, 2891, 10574, 2798, 24333, 1239, 318, 9557, 994, 1038, 1820, 2891, 13480, 619, 24333, 4600, 994, 1038, 1820, 2891, 7093, 31084, 960, 1895, 2450, 2789, 24333, 9053, 8548, 738, 2118, 2020, 1038, 952, 630, 32305, 4939, 9053, 8548, 738, 2118, 2187, 2018, 1820, 2891, 10831, 540, 4600, 711, 513, 9053, 2789, 630, 260, 323, 265, 301, 1040, 257, 26444, 7386, 4939, 630, 2181, 31084, 8548, 738, 2118, 4917, 2018, 1820, 2891, 8110, 18504, 949, 581, 4389, 1701, 2020, 1038, 4291, 318, 5271, 339, 815, 929, 326, 27904, 263, 28255, 267, 2518, 15481, 267, 2199, 15481, 267, 513, 10734, 18860, 267, 536, 10734, 18860, 267, 3186, 10734, 18860, 994, 1038, 4291, 318, 5271, 339, 9884, 7159, 4590, 1038, 1714, 17863, 815, 476, 272, 324, 268, 280, 16732, 1410, 1815, 318, 5271, 339, 269, 2889, 12803, 269, 754, 910, 4291, 318, 5271, 339, 269, 2889, 12803, 269, 11034, 2020, 1038, 1820, 2891, 2750, 1815, 1081, 942, 540, 1449, 281, 4939, 326, 521, 257, 4939, 1714, 17863, 2020, 1038, 524, 815, 11885, 269, 24105, 318, 3697, 5416, 994, 1038, 804, 269, 523, 28255, 318, 1348, 10734, 4428, 518, 263, 28255, 267, 3186, 10734, 18860, 267, 524, 1040, 342, 7159, 4590, 1038, 3160, 815, 11885, 269, 718, 263, 524, 2652, 524, 318, 14310, 2020, 1038, 952, 711, 3160, 912, 3546, 1820, 2891, 24342, 3085, 1405, 6474, 8627, 5602, 1038, 3116, 912, 3546, 1820, 2891, 24342, 15528, 5602, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 279, 281, 2961, 11538, 7066, 5501, 21661, 519, 7909, 281, 4197, 2910, 294, 6347, 692, 5331, 596, 4312, 1175, 1500, 930, 4190, 29586, 25231, 7410, 609, 10477, 19273, 543, 15798, 17850, 338, 269, 2659, 1148, 4116, 14560, 873, 865, 1454, 1352, 7512, 596, 547, 6133, 873, 2228, 256, 17652, 2614, 267, 2576, 689, 5245, 6499, 547, 4444, 4557, 540, 707, 2189, 13144, 269, 1215, 5863, 568, 602, 286, 1809, 875, 786, 789, 1205, 2066, 519, 5836, 9108, 286, 2334, 781, 1141, 11288, 3549, 2097, 538, 256, 1656, 950, 621, 2501, 547, 11488, 1919, 18246, 267, 972, 781, 1945, 1572, 519, 2961, 5846, 540, 6153, 338, 676, 7256, 2920, 630, 4596, 294, 6347, 264, 602, 2337, 1832, 3388, 4881, 12347, 269, 1924, 1577, 781, 4685, 883, 1620, 1018, 2910, 294, 6347, 1797, 585, 1312, 596, 543, 707, 8241, 6075, 2439, 5575, 1055, 267, 1577, 781, 2911, 827, 945, 2115, 547, 917, 827, 2910, 294, 6347, 269, 4270, 267, 952, 596, 2811, 2469, 547, 6494, 707, 10475, 25231, 7410, 593, 513, 1279, 3460, 936, 519, 4262, 267, 1287, 596, 991, 547, 1174, 875, 789, 786, 581, 6870, 1282, 741, 7552, 269, 901, 1876, 10039, 5631, 547, 4213, 899, 667, 20462, 514, 1744, 6235, 5245, 623, 1399, 13456, 1107, 1346, 945, 3858, 547, 4163, 707, 5370, 593, 9635, 689, 835, 2197, 547, 1776, 269, 898, 5036, 3652, 543, 4808, 547, 2327, 3025, 3238, 17358, 741, 9021, 780, 3086, 267, 4952, 23522, 10977, 7258, 519, 6928, 8876, 707, 25231, 7410, 269, 1358, 21843, 5191, 543, 10103, 1063, 3425, 543, 2470, 269, 6684, 267, 1589, 540, 2910, 294, 6347, 607, 7874, 23522, 13057, 519, 11288, 1184, 2059, 2312, 267, 8815, 5346, 517, 10092, 269, 2290, 1271, 4341, 2910, 294, 6347, 20964, 568, 827, 9878, 585, 14796, 269, 1403, 4376, 4523, 547, 707, 25231, 7410, 1247, 1373, 16487, 910, 2161, 267, 513, 7088, 21219, 873, 1354, 8757, 5245, 910, 2910, 294, 6347, 2306, 2386, 519, 11288, 2754, 814, 2724, 1305, 11735, 4481, 585, 971, 3871, 269, 901, 1259, 267, 1256, 1498, 707, 2295, 1131, 2736, 6616, 707, 25704, 4769, 1405, 12446, 796, 2675, 520, 1117, 267, 693, 2547, 596, 9327, 1405, 6336, 1022, 4890, 2724, 1317, 540, 621, 780, 3719, 7227, 267, 972, 781, 811, 256, 1548, 952, 1945, 3407, 4422, 7508, 1282, 18302, 286, 3143, 19048, 256, 6271, 1909, 540, 2910, 294, 6347, 568, 4543, 4137, 856, 945, 781, 3743, 585, 4503, 3688, 269, 2913, 803, 2995, 596, 513, 2370, 5728, 281, 1034, 540, 519, 942, 267, 621, 4465, 1405, 581, 707, 13337, 610, 519, 23138, 781, 13337, 282, 3079, 267, 621, 8813, 1394, 593, 519, 11288, 2754, 269, 1717, 267, 972, 616, 17756, 269, 1280, 1383, 267, 15475, 2576, 17543, 2848, 1023, 707, 25231, 7410, 1318, 1310, 789, 2811, 16041, 5196, 519, 6928, 630, 344, 10105, 14386, 610, 952, 519, 12284, 2818, 5749, 1405, 6297, 7829, 707, 10189, 269, 769, 2665, 899, 891, 267, 519, 11288, 2754, 1522, 711, 581, 4371, 18177, 2094, 621, 7012, 1405, 7357, 741, 13337, 2901, 780, 4131, 781, 979, 1394, 547, 938, 3312, 2243, 281, 875, 1281, 782, 713, 1344, 948, 596, 286, 1306, 513, 27503, 16724, 267, 1565, 827, 4031, 7863, 707, 25584, 666, 7668, 596, 547, 3442, 6325, 11288, 4891, 945, 1246, 2910, 294, 6347, 4808, 269, 5047, 267, 2348, 1930, 7391, 609, 5561, 827, 1210, 1202, 3293, 19057, 5849, 4708, 540, 2247, 2429, 519, 3003, 11834, 269, 2991, 782, 267, 18864, 6499, 29043, 4555, 13735, 1472, 950, 9849, 1187, 11824, 2389, 1335, 539, 17960, 2439, 1103, 3932, 267, 3314, 938, 5363, 2828, 267, 519, 23522, 286, 3807, 899, 873, 267, 2910, 294, 6347, 4249, 513, 4105, 1909, 538, 4509, 3666, 1369, 3486, 4123, 7297, 269, 1635, 4259, 2666, 3652, 543, 17420, 6105, 1996, 9271, 267, 713, 957, 11942, 3972, 1851, 18046, 267, 23965, 267, 543, 11288, 3549, 7567, 269, 3767, 267, 8164, 596, 1294, 5961, 540, 22488, 23522, 17259, 6329, 610, 4309, 6835, 6031, 834, 7312, 1931, 568, 593, 922, 1259, 10590, 596, 3513, 5660, 519, 15865, 3106, 2121, 18955, 1927, 676, 2910, 294, 6347, 543, 824, 2147, 6042, 269, 8414, 9513, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 5357, 15771, 2562, 15562, 7709, 303, 5058, 589, 19851, 305, 3201, 8656, 25280, 312, 700, 31813, 454, 19931, 5181, 476, 1708, 272, 454, 4322, 16301, 540, 11780, 4019, 547, 782, 2533, 630, 306, 26236, 264, 3177, 676, 667, 20462, 514, 1744, 6235, 623, 1399, 13456, 454, 263, 3722, 301, 476, 7785, 476, 276, 2420, 476, 5379, 280, 264, 630, 1492, 7577, 264, 547, 1411, 519, 21436, 563, 8923, 1224, 891, 16301, 540, 11780, 5402, 563, 2171, 2721, 707, 1880, 3007, 547, 513, 1297, 540, 2474, 799, 2285, 519, 7577, 2924, 543, 5924, 454, 516, 706, 576, 610, 23868, 2924, 602, 1411, 1522, 6382, 723, 267, 855, 585, 891, 2474, 269, 1452, 2474, 616, 912, 5141, 1021, 476, 278, 281, 630, 11900, 4269, 264, 634, 21436, 568, 9415, 547, 1118, 922, 1378, 11460, 585, 6142, 454, 16225, 585, 519, 6153, 338, 269, 634, 6153, 338, 616, 711, 4988, 676, 18535, 6142, 547, 3382, 2530, 540, 519, 6153, 338, 1247, 454, 514, 519, 7577, 779, 26692, 267, 8259, 713, 568, 11231, 676, 519, 21436, 563, 5141, 1021, 476, 1556, 269, 275, 281, 630, 21918, 2787, 540, 700, 6636, 264, 634, 7577, 779, 17181, 540, 15668, 585, 2530, 610, 3441, 16109, 856, 454, 1993, 519, 11865, 540, 519, 7896, 547, 519, 21436, 630, 21955, 1141, 3361, 676, 519, 32226, 267, 12161, 610, 454, 342, 559, 995, 9949, 610, 522, 3939, 676, 519, 7577, 922, 22063, 610, 8069, 1916, 5141, 1021, 476, 1556, 269, 280, 281, 630, 21918, 2787, 540, 9149, 629, 8270, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10111, 5846, 540, 6153, 338, 676, 7256, 2920, 630, 4596, 294, 6347, 17983, 607, 851, 540, 834, 30311, 1315, 20497, 1315, 4139, 11780, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3992, 827, 1620, 7526, 543, 5275, 5126, 256, 5620, 596, 2479, 4862, 827, 10617, 8345, 538, 1114, 2694, 540, 519, 1158, 286, 2107, 6148, 596, 4312, 9289, 1018, 1131, 4755, 952, 2576, 1705, 1945, 4636, 543, 2877, 547, 581, 27052, 286, 4653, 267, 649, 786, 2263, 891, 3584, 998, 519, 7828, 540, 513, 1483, 3510, 910, 519, 4655, 538, 8644, 4997, 543, 875, 1004, 616, 2324, 2509, 4466, 5126, 585, 1346, 4299, 780, 5575, 267, 1577, 781, 2911, 827, 1018, 5949, 538, 8644, 4997, 269, 901, 1507, 4639, 3979, 4182, 814, 5185, 1082, 2591, 2429, 922, 1686, 267, 855, 835, 3226, 2352, 942, 729, 1282, 519, 476, 1960, 271, 338, 950, 513, 22266, 3540, 2112, 3576, 1747, 269, 5994, 8165, 1063, 1114, 2516, 1318, 538, 707, 1378, 8378, 267, 4929, 9552, 543, 4250, 10876, 269, 2334, 781, 4010, 1018, 5949, 538, 8644, 4997, 269, 3509, 2729, 941, 4503, 267, 3885, 14324, 6306, 267, 543, 2950, 10969, 730, 780, 3086, 267, 1310, 865, 1454, 1928, 543, 7092, 267, 930, 12703, 2043, 4956, 789, 4941, 547, 948, 3142, 4708, 543, 9322, 1394, 547, 8644, 4997, 269, 1358, 2813, 513, 2027, 1867, 1572, 519, 834, 23871, 3578, 543, 26532, 16624, 8189, 630, 307, 13612, 264, 7797, 2437, 799, 7396, 1004, 945, 1522, 723, 8329, 547, 519, 4655, 2901, 676, 10283, 538, 10795, 6411, 2933, 610, 5885, 1866, 945, 1705, 269, 898, 781, 899, 2348, 513, 1592, 540, 1004, 945, 13264, 3652, 538, 513, 3014, 543, 23115, 856, 2081, 547, 4368, 1919, 1927, 780, 3383, 1946, 1281, 1022, 540, 713, 2339, 1631, 286, 4270, 267, 1317, 1346, 3743, 585, 9292, 1154, 1866, 1869, 991, 547, 3068, 4539, 585, 741, 3527, 269, 1656, 1175, 899, 538, 513, 4928, 1141, 3610, 2232, 3765, 2041, 8326, 547, 2226, 1931, 267, 2477, 849, 3715, 10470, 547, 2327, 3025, 5205, 519, 1876, 269, 1280, 8644, 4997, 267, 3646, 616, 25093, 547, 1711, 513, 2027, 2186, 540, 5480, 1572, 519, 834, 23219, 543, 9483, 9197, 1307, 7040, 1701 ]

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

[ 14370, 320, 317, 273, 1341, 536, 317, 273, 264, 910, 536, 14370, 320, 317, 273, 1341, 536, 317, 273, 264, 2608, 1775, 27471, 291, 1204, 532, 513, 1950, 1297, 2387, 320, 1341, 1775, 2608, 536, 319, 676, 1776, 2387, 322, 1341, 1775, 2608, 546, 319, 3947, 281, 25464, 320, 1341, 1775, 2608, 536, 264, 1315, 630, 322, 1341, 1775, 2608, 546, 264, 815, 630, 320, 2608, 524, 1341, 536, 2608, 546, 19422, 322, 317, 273, 1341, 546, 317, 273, 264, 1341, 630, 321, 2608, 524, 910, 513, 2608, 546, 19422, 322, 317, 273, 1341, 546, 317, 273, 264, 2608, 1775, 27471, 26244, 2358, 552, 547, 513, 1950, 20800, 666, 581, 6829, 607, 2387, 324, 22677, 320, 1341, 1775, 2608, 536, 264, 815, 552, 317, 320, 2608, 552, 22677, 328, 2608, 536, 264, 12452, 519, 2063, 2165, 540, 799, 568, 2016, 676, 25586, 781, 4542, 2387, 324, 22677, 328, 2608, 536, 264, 815, 5430, 6357, 264, 1341, 1775, 2608, 5609, 6357, 23375, 780, 25363, 618, 519, 1739, 4238, 1384, 1892, 1840, 267, 12408, 267, 8691, 543, 6498, 540, 1079, 1950, 2338, 2676, 1892, 31669, 267, 6207, 1871, 267, 20800, 540, 513, 2016, 1950, 1297, 780, 10112, 2541, 519, 5752, 1893, 596, 616, 1210, 1281, 711, 723, 606, 6388, 540, 1950, 2338, 780, 1012, 26121, 519, 4255, 692, 2414, 2196, 519, 4255, 267, 2196, 519, 4971, 2387, 25346, 6339, 1449, 319, 689, 1369, 519, 3635, 15682, 780, 22873, 6053, 267, 1152, 519, 1101, 1449, 786, 581, 13087, 269, 901, 568, 547, 5000, 596, 547, 4194, 519, 3635, 835, 1900, 693, 513, 942, 269, 4495, 596, 1205, 519, 1101, 1449, 8429, 267, 4894, 519, 2387, 20597, 760, 319, 3959, 689, 519, 1985, 1449, 543, 960, 593, 3478, 602, 1449, 8429, 269, 4495, 9039, 540, 519, 4255, 616, 1236, 5792, 543, 789, 616, 782, 8429, 267, 596, 666, 10505, 707, 3070, 1210, 2387, 1410, 2075, 1143, 10505, 13216, 301, 13246, 6983, 338, 26384, 1012, 4329, 1344, 692, 2690, 811, 2143, 1344, 827, 519, 595, 258, 3950, 267, 1519, 875, 547, 1205, 948, 952, 596, 2811, 2348, 8373, 267, 5225, 3643, 519, 2624, 1143, 269, 1470, 595, 258, 1893, 2985, 780, 1012, 4427, 2466, 1154, 769, 14814, 10298, 692, 2005, 781, 2009, 547, 10505, 606, 18106, 3070, 865, 596, 666, 1294, 875, 1866, 723, 6192, 519, 3635, 780, 2162, 13216, 301, 13246, 14818, 6983, 338, 692, 18606, 2260, 901, 3758, 729, 10081, 24378, 1759, 593, 4528, 476, 272, 269, 274, 269, 271, 540, 519, 28138, 1239, 780, 6748, 3590, 3248, 6748, 2473, 22780, 16963, 21504, 1362, 13216, 301, 13246, 14818, 454, 19127, 314, 15542, 2639, 21504, 20704, 7464, 318, 4820, 15058, 19963, 7272, 675, 569, 318, 9418, 20311, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 272, 267, 521, 583, 269, 18600, 3890, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 7464, 318, 4820, 15058, 19963, 7272, 675, 569, 318, 19960, 2435, 20311, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 271, 267, 476, 272, 11850, 10112, 1068, 9950, 23974, 263, 271, 267, 521, 583, 269, 18600, 3890, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 7464, 318, 4820, 15058, 19963, 20311, 318, 5976, 318, 9418, 318, 663, 318, 19960, 2435, 318, 4820, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 273, 11850, 10112, 1068, 9950, 23974, 263, 272, 267, 521, 583, 269, 18600, 3890, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 22569, 2435, 318, 4820, 15058, 19963, 7272, 675, 569, 318, 9418, 20311, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 271, 267, 521, 583, 269, 3412, 698, 2435, 3890, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 22569, 2435, 318, 4820, 15058, 19963, 7272, 675, 569, 318, 19960, 2435, 20311, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 271, 267, 476, 272, 11850, 10112, 1068, 9950, 23974, 263, 272, 267, 521, 583, 269, 3412, 698, 2435, 3890, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 22569, 2435, 318, 4820, 15058, 19963, 20311, 318, 5976, 318, 9418, 318, 663, 318, 19960, 2435, 318, 4820, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 273, 11850, 10112, 1068, 9950, 23974, 263, 273, 267, 521, 583, 269, 3412, 698, 2435, 3890, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 22569, 2435, 318, 22780, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 271, 267, 476, 272, 11850, 12534, 4397, 815, 1007, 13216, 10831, 8987, 272, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 271, 267, 476, 272, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 271, 267, 476, 272, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 271, 11850, 12534, 4397, 815, 1007, 13216, 10831, 263, 274, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 269, 11754, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 269, 11754, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 271, 267, 476, 272, 11850, 12534, 4397, 815, 1007, 13216, 10831, 263, 271, 267, 476, 274, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 269, 11754, 28956, 13216, 10831, 263, 271, 267, 476, 273, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 269, 11754, 28956, 13216, 10831, 263, 271, 267, 476, 273, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 273, 11850, 12534, 4397, 815, 1007, 13216, 10831, 263, 275, 267, 476, 277, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 269, 11754, 28956, 13216, 10831, 263, 274, 267, 476, 275, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 269, 11754, 28956, 13216, 10831, 263, 274, 267, 476, 275, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 16265, 847, 7272, 675, 569, 318, 9418, 5332, 13246, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 271, 11850, 12534, 4397, 815, 1007, 13216, 10831, 8987, 272, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 2529, 889, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 2529, 889, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 16265, 847, 7272, 675, 569, 318, 19960, 2435, 5332, 13246, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 271, 267, 476, 272, 11850, 12534, 4397, 815, 1007, 13216, 10831, 263, 271, 267, 910, 272, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 2529, 889, 28956, 13216, 10831, 263, 271, 267, 476, 273, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 2529, 889, 28956, 13216, 10831, 263, 271, 267, 476, 273, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 16265, 847, 5332, 13246, 318, 5976, 318, 9418, 318, 663, 318, 19960, 2435, 318, 4820, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 273, 11850, 12534, 4397, 815, 1007, 13216, 10831, 8987, 273, 267, 910, 273, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 2529, 889, 28956, 13216, 10831, 263, 274, 267, 476, 275, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 2529, 889, 28956, 13216, 10831, 263, 274, 267, 476, 275, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 25092, 7272, 675, 569, 318, 9418, 5332, 13246, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 271, 11850, 12534, 4397, 815, 1007, 13216, 10831, 263, 273, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 25092, 7272, 675, 569, 318, 19960, 2435, 5332, 13246, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 271, 267, 476, 272, 11850, 12534, 4397, 815, 1007, 13216, 10831, 8987, 273, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 271, 267, 476, 273, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 271, 267, 476, 273, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 25092, 5332, 13246, 318, 5976, 318, 9418, 318, 663, 318, 19960, 2435, 318, 4820, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 273, 11850, 12534, 4397, 815, 1007, 13216, 10831, 8987, 276, 267, 476, 1015, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 274, 267, 476, 275, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 8160, 592, 28956, 13216, 10831, 263, 274, 267, 476, 275, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504, 20704, 19147, 7272, 675, 569, 318, 9418, 5332, 13246, 4590, 19127, 12534, 521, 583, 815, 1007, 13216, 10831, 263, 272, 267, 476, 271, 11850, 12534, 4397, 815, 1007, 13216, 10831, 263, 271, 269, 276, 267, 476, 271, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 18600, 19572, 521, 583, 6185, 643, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 18600, 19572, 8856, 281, 476, 278, 11850, 10112, 1068, 9950, 23974, 263, 1410, 4624, 269, 3412, 698, 2435, 19572, 521, 583, 6185, 643, 28956, 13216, 10831, 263, 273, 267, 476, 271, 26895, 3412, 698, 2435, 19572, 8856, 281, 476, 278, 11850, 10926, 314, 15542, 263, 20597, 760, 815, 834, 7230, 913, 547, 2196, 1449, 8442, 2639, 21504 ]

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

[ 519, 14232, 476, 1708, 271, 9550, 267, 610, 596, 2461, 4712, 547, 4497, 609, 513, 623, 15425, 8116, 547, 1491, 936, 707, 623, 15425, 5859, 3646, 267, 649, 666, 948, 269, 15439, 3346, 721, 2221, 547, 2769, 707, 2115, 676, 10912, 630, 20969, 264, 476, 27768, 268, 6812, 275, 276, 267, 4757, 532, 18078, 17106, 11333, 3820, 267, 610, 11423, 856, 938, 2228, 3346, 1106, 563, 8253, 2462, 593, 2542, 286, 2334, 779, 15502, 269, 13772, 968, 1692, 519, 476, 1708, 271, 30760, 17897, 18748, 623, 15425, 22411, 338, 892, 3079, 563, 8794, 519, 1379, 540, 14464, 11106, 267, 649, 5828, 713, 5816, 883, 513, 3381, 585, 596, 269, 6744, 621, 856, 2630, 2336, 4131, 779, 12706, 2659, 8921, 7913, 8605, 454, 19185, 547, 14736, 11325, 707, 1788, 538, 519, 1985, 476, 1789, 268, 3445, 2395, 888, 4131, 779, 1376, 4058, 256, 0, 11990, 14977, 526, 718, 729, 4535, 593, 476, 273, 526, 4864, 476, 9264, 271, 538, 2274, 662, 4802, 8822, 267, 3213, 2961, 869, 1934, 912, 2026, 4166, 607, 646, 729, 2111, 267, 1762, 14977, 526, 718, 2451, 1753, 547, 960, 585, 519, 18103, 333, 766, 11752, 267, 1101, 538, 8581, 630, 10111, 869, 267, 962, 965, 531, 267, 918, 1231, 1446, 1070, 855, 2663, 22151, 547, 2776, 8725, 267, 19903, 1662, 790, 269, 898, 568, 1175, 2009, 602, 646, 5249, 585, 5261, 11023, 1146, 267, 5619, 532, 7841, 1811, 269, 4014, 646, 729, 16994, 593, 519, 13964, 267, 5619, 532, 729, 711, 3257, 1454, 585, 1010, 7214, 1646, 865, 646, 19801, 538, 3781, 5049, 693, 519, 23317, 4659, 538, 2776, 8725, 269, 2311, 519, 2085, 540, 476, 2767, 646, 3576, 909, 513, 2022, 3450, 1153, 538, 519, 3162, 540, 4789, 269, 1809, 1010, 1964, 1652, 6891, 3576, 1864, 547, 3057, 7921, 538, 5125, 1141, 646, 6192, 513, 12854, 609, 7917, 834, 289, 1248, 518, 257, 645, 684, 11420, 538, 513, 3043, 3905, 476, 273, 1296, 269, 1261, 24964, 607, 513, 4990, 540, 3621, 7784, 585, 16926, 2679, 513, 5458, 4871, 540, 17066, 543, 1344, 269, 2755, 593, 519, 11782, 267, 646, 2919, 513, 6612, 585, 7823, 324, 1359, 543, 9126, 3022, 513, 1297, 540, 834, 14140, 9721, 257, 19589, 538, 519, 32595, 269, 30609, 1431, 538, 519, 1164, 2312, 2011, 1500, 1864, 2992, 593, 5982, 543, 646, 729, 519, 1101, 1268, 547, 24808, 519, 2596, 3741, 540, 519, 8511, 1198, 269, 1261, 568, 849, 20295, 609, 519, 1655, 2038, 7778, 585, 875, 519, 4396, 4672, 540, 22260, 12599, 24491, 8393, 1524, 24824, 269, 3571, 7279, 827, 519, 2067, 1158, 7074, 602, 519, 6607, 729, 4544, 267, 513, 1249, 799, 1034, 540, 721, 1491, 585, 19309, 11292, 282, 855, 14977, 526, 718, 5249, 856, 689, 2168, 1101, 3741, 1946, 519, 6607, 568, 4544, 269, 1261, 729, 11221, 547, 519, 9576, 5980, 538, 476, 6977, 273, 538, 6284, 540, 1010, 32032, 7418, 910, 11508, 267, 1769, 267, 6850, 2173, 24599, 1143, 267, 3002, 267, 20569, 267, 3280, 267, 8762, 5735, 281, 5555, 476, 15704, 6101, 3621, 4574, 543, 693, 2547, 1614, 2442, 2835, 14333, 630, 5908, 274, 1070, 14675, 630, 5908, 278, 1070, 543, 8752, 630, 6942, 274, 1040, 898, 729, 2141, 1271, 602, 646, 4769, 1405, 6336, 519, 1875, 1606, 2133, 626, 281, 834, 1103, 519, 1739, 3817, 594, 723, 6836, 547, 11904, 519, 2257, 540, 1035, 24065, 923, 4277, 547, 782, 10995, 7606, 267, 1519, 1346, 945, 798, 711, 4865, 1022, 2027, 3621, 2528, 269, 634, 1641, 568, 5701, 4603, 958, 2429, 267, 543, 594, 723, 14365, 10696, 865, 547, 1747, 1142, 4603, 1354, 519, 5467, 602, 646, 1058, 29311, 621, 607, 606, 4890, 5106, 1701, 14977, 526, 718, 729, 519, 13423, 3912, 540, 519, 1582, 2389, 4381, 16972, 14671, 987, 543, 6785, 782, 519, 1866, 269, 1261, 729, 513, 13653, 4759, 540, 519, 2473, 12641, 889, 267, 606, 27592, 26209, 10865, 12129, 8630, 267, 799, 1558, 5781, 585, 476, 1789, 1296, 269, 1703, 1079, 3368, 2093, 1223, 25483, 1472, 519, 3349, 547, 1831, 513, 1449, 762, 8367, 563, 296, 723, 15504, 593, 14977, 526, 718, 781, 10359, 1354, 1496, 4462, 4385, 814, 5063, 20024, 513, 1279, 13181, 6085, 896, 602, 2022, 316, 543, 1354, 602, 269, 8751, 6563, 693, 476, 9610, 271, 327, 3464, 972, 568, 2469, 547, 513, 606, 593, 11060, 8131, 9349, 1623, 24007, 1496, 763, 2817, 626, 281, 10324, 5758, 316, 22555, 676, 519, 17709, 2961, 869, 6019, 7467, 269, 0, 305, 327, 514, 6955, 7360, 6391, 267, 849, 1634, 607, 513, 9224, 2816, 267, 568, 2966, 547, 7369, 519, 2450, 543, 3337, 540, 519, 9224, 547, 3035, 606, 8353, 24312, 24886, 5920, 543, 3986, 11132, 2934, 269, 1703, 616, 1896, 1114, 2010, 540, 9224, 5546, 267, 543, 519, 10551, 4480, 2838, 547, 2953, 1142, 835, 786, 4096, 593, 2436, 606, 1930, 28591, 6955, 7360, 610, 6806, 28591, 6955, 7360, 568, 5645, 856, 563, 7212, 1930, 28591, 6955, 7360, 568, 519, 1034, 4122, 5340, 5650, 267, 513, 6806, 28591, 6955, 7360, 666, 581, 606, 2500, 4480, 585, 14013, 5697, 2550, 563, 1432, 568, 606, 1930, 28591, 6955, 7360, 888, 15411, 28591, 6955, 7360, 568, 513, 11285, 9224, 18534, 12686, 5650, 1031, 585, 2550, 945, 2154, 1713, 960, 547, 519, 17725, 20162, 543, 536, 3415, 5943, 269, 634, 5650, 3322, 1818, 606, 1651, 1707, 538, 519, 897, 636, 7578, 267, 799, 568, 519, 4571, 1467, 15123, 1506, 1858, 540, 2960, 1063, 519, 1079, 19911, 337, 2812, 693, 519, 3490, 540, 519, 9224, 269, 4495, 519, 3355, 2960, 1651, 1707, 814, 1044, 1500, 267, 519, 18874, 5402, 9356, 519, 2960, 2476, 689, 519, 9224, 779, 5817, 5642, 543, 20162, 5943, 269, 901, 2636, 2347, 3308, 5314, 540, 782, 519, 1898, 3889, 540, 519, 9224, 799, 2154, 15494, 269, 4495, 519, 5650, 814, 1044, 6192, 267, 519, 897, 636, 7578, 568, 521, 1956, 323, 609, 1875, 1673, 1170, 565, 15344, 25573, 269, 634, 9224, 568, 21039, 609, 513, 4496, 1532, 17977, 17371, 10943, 842, 799, 568, 5402, 4294, 547, 519, 9224, 267, 4553, 676, 17516, 11746, 563, 763, 10943, 842, 568, 2966, 547, 2149, 519, 1898, 17725, 3889, 267, 1519, 519, 536, 3415, 851, 540, 519, 9224, 267, 799, 949, 723, 1044, 5762, 3293, 607, 851, 540, 519, 5642, 18534, 12686, 269, 634, 10943, 842, 568, 6854, 593, 585, 835, 3018, 1354, 1373, 6569, 676, 2022, 268, 10869, 11923, 267, 543, 519, 1875, 1673, 1170, 565, 15344, 25573, 786, 581, 6569, 563, 15411, 28591, 6955, 7360, 568, 519, 4998, 5650, 585, 2550, 945, 723, 1713, 7293, 12889, 540, 519, 9224, 267, 971, 607, 513, 5186, 12097, 9224, 610, 513, 1821, 7007, 9224, 269, 2353, 14469, 28591, 6955, 7360, 6391, 568, 5645, 856, 1210, 519, 1930, 28591, 6955, 7360, 1935, 269, 1403, 20162, 21910, 532, 568, 2838, 267, 519, 1930, 1935, 568, 519, 9053, 4781, 607, 519, 18874, 666, 8308, 3308, 1047, 519, 20162, 538, 1614, 7516, 563, 1432, 568, 513, 6806, 28591, 6955, 7360, 888, 5141, 2216, 28591, 6955, 7360, 568, 1447, 4122, 5340, 3379, 609, 606, 1930, 28591, 6955, 7360, 269, 2060, 6806, 28591, 6955, 7360, 6391, 267, 972, 616, 1100, 5007, 2960, 1651, 2888, 267, 543, 782, 10551, 1651, 2888, 616, 1500, 1369, 519, 9224, 2059, 519, 10347, 29935, 9245, 16298, 269, 9521, 1930, 28591, 6955, 7360, 267, 799, 814, 606, 1651, 1707, 4092, 593, 519, 2960, 540, 519, 897, 636, 7578, 267, 6806, 28591, 6955, 7360, 568, 5645, 856, 1210, 606, 1439, 517, 29569, 4480, 269, 634, 6806, 1935, 1281, 711, 11863, 2347, 3308, 5314, 540, 519, 5642, 543, 20162, 5943, 540, 519, 9224, 543, 568, 513, 4480, 1031, 676, 1360, 4810, 28591, 6955, 7360, 23262, 563, 1432, 616, 519, 5294, 543, 931, 540, 1930, 543, 6806, 28591, 6955, 7360, 888, 288, 6806, 28591, 6955, 7360, 5650, 1281, 711, 1267, 538, 7298, 26711, 607, 782, 1651, 2888, 616, 1500, 3330, 519, 9224, 269, 634, 28591, 6955, 7360, 6051, 1310, 519, 6806, 1935, 568, 1454, 18334, 982, 606, 1930, 4480, 607, 6806, 5773, 616, 18334, 547, 1685, 609, 1447, 20015, 2358, 543, 11926, 563, 5141, 2216, 28591, 6955, 7360, 568, 1152, 5078, 585, 1978, 4145, 971, 607, 24725, 1208, 335, 5786, 610, 3551, 9133, 18534, 12686, 269, 2859, 3573, 6391, 547, 519, 9224, 786, 2154, 606, 1930, 1935, 269, 1703, 568, 1100, 835, 4998, 4480, 585, 28591, 6955, 7360, 607, 621, 786, 4096, 593, 513, 3461, 779, 3853, 585, 2126, 543, 8939, 606, 3617, 1544, 547, 1205, 519, 4998, 28591, 6955, 7360, 2164, 563, 1692, 1454, 1281, 6806, 28591, 6955, 7360, 1942, 888, 305, 327, 514, 6955, 7360, 6391, 6238, 689, 11278, 4335, 271, 693, 10418, 585, 17889, 538, 5507, 269, 634, 3169, 28591, 6955, 7360, 1942, 786, 4096, 593, 1896, 2188, 267, 1519, 519, 2179, 540, 960, 2838, 267, 1519, 519, 991, 585, 20162, 21910, 532, 543, 2436, 513, 3119, 28591, 6955, 7360, 610, 513, 14469, 28591, 6955, 7360, 568, 1373, 5645, 856, 269, 1849, 2216, 28591, 6955, 7360, 568, 18334, 547, 1685, 543, 267, 4061, 267, 811, 10097, 982, 1930, 28591, 6955, 7360, 269, 4495, 596, 723, 1185, 707, 3068, 3562, 19904, 15360, 609, 835, 540, 938, 4274, 9224, 2816, 23262, 267, 596, 786, 4309, 606, 4977, 19722, 689, 707, 6131, 3461, 4717, 13541, 563, 1692, 1279, 1281, 6806, 28591, 6955, 7360, 1491, 547, 1685, 888, 2304, 9296, 6088, 6806, 28591, 6955, 7360, 6391, 693, 10418, 585, 17889, 666, 1491, 5111, 835, 5662, 269, 2859, 1950, 10411, 10614, 17725, 6391, 666, 2154, 811, 982, 476, 274, 547, 476, 275, 3108, 269, 634, 3169, 942, 2877, 547, 4163, 856, 519, 5650, 786, 8428, 1063, 2043, 607, 930, 22775, 885, 786, 581, 4443, 547, 2953, 982, 1866, 563, 5475, 519, 5650, 568, 2347, 267, 646, 786, 20354, 9156, 538, 513, 1554, 6391, 20758, 585, 909, 547, 476, 274, 3108, 269, 4495, 596, 616, 16363, 1199, 1227, 3514, 585, 11166, 267, 938, 2022, 268, 10869, 8808, 2319, 786, 2285, 707, 2937, 27877, 2407, 2022, 268, 10869, 5528, 593, 1018, 547, 798, 269, 898, 568, 5227, 602, 513, 3743, 2937, 5654, 1310, 596, 585, 519, 1101, 476, 2190, 547, 476, 4366, 3108, 1310, 28591, 6955, 7360, 6391, 563, 3674, 6806, 28591, 6955, 7360, 6051, 18334, 3379, 609, 519, 1930, 1935, 888, 763, 7067, 942, 585, 6806, 28591, 6955, 7360, 568, 1419, 1454, 18334, 982, 606, 1930, 28591, 6955, 7360, 267, 607, 621, 568, 513, 30194, 12362, 5650, 269, 2920, 783, 28591, 6955, 7360, 6051, 2053, 786, 8428, 4470, 593, 519, 10551, 15494, 5645, 856, 282, 2705, 267, 519, 6051, 1184, 666, 581, 5688, 2213, 676, 735, 2391, 609, 519, 18874, 779, 2022, 268, 10869, 5528, 563, 2171, 4363, 602, 2550, 581, 1055, 960, 585, 5111, 835, 3018, 547, 1450, 1697, 1964, 543, 2057, 6117, 513, 1286, 585, 519, 1101, 1079, 4374, 269, 898, 1131, 581, 1655, 547, 2119, 547, 3207, 593, 707, 1394, 585, 519, 1101, 3670, 4374, 1310, 6391, 543, 23295, 581, 605, 5529, 909, 609, 476, 273, 547, 476, 274, 10788, 3298, 865, 602, 596, 798, 711, 9114, 6366, 269, 898, 1131, 948, 547, 2057, 1463, 7943, 4598, 547, 519, 9224, 547, 6922, 1047, 1085, 18732, 610, 5409, 335, 580, 7695, 563, 7197, 2550, 666, 16056, 2168, 2238, 1310, 2185, 4374, 267, 1519, 4638, 2534, 267, 855, 649, 4363, 9319, 588, 1066, 6681, 3635, 585, 3670, 4374, 1310, 519, 6391, 269, 14904, 666, 2503, 547, 9156, 4628, 676, 3670, 4374, 267, 1141, 1034, 540, 519, 20015, 2358, 543, 11926, 1058, 7017, 1524, 1310, 6806, 28591, 6955, 7360, 269, 3776, 2022, 268, 10869, 8808, 2319, 786, 1433, 513, 835, 22173, 13393, 547, 1294, 596, 1310, 519, 6391, 547, 2689, 707, 1651, 1707, 4609, 547, 1118, 2386, 789, 12115, 5265, 269, 2659, 10943, 842, 786, 849, 581, 6569, 267, 543, 596, 949, 581, 4280, 547, 3136, 7311, 6960, 11746, 547, 519, 9224, 585, 519, 1985, 1079, 4374, 269, 2659, 18874, 786, 2689, 596, 3670, 4374, 1310, 519, 5650, 563, 8489, 568, 519, 1655, 1747, 585, 6806, 28591, 6955, 7360, 538, 519, 5177, 888, 1103, 1840, 547, 6806, 28591, 6955, 7360, 267, 938, 11285, 23262, 5781, 1685, 1930, 28591, 6955, 7360, 267, 11002, 3626, 2389, 760, 6391, 267, 31027, 528, 327, 514, 6955, 7360, 543, 6803, 28591, 6955, 7360, 630, 28893, 9224, 2816, 1040, 634, 1034, 3617, 9224, 6391, 4480, 786, 581, 4956, 2390, 2899, 596, 723, 1044, 12290, 693, 707, 3068, 3562, 19904, 15360, 269, 1284, 616, 26752, 547, 723, 930, 540, 519, 1655, 28591, 6955, 7360, 23262, 538, 519, 5177, 5781, 8876, 856 ]

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

[ 453, 19677, 15030, 10248, 1805, 4169, 815, 654, 10248, 1805, 4169, 692, 22592, 1039, 3080, 273, 31296, 8266, 4311, 267, 14351, 476, 2187, 453, 19677, 15030, 10248, 1805, 4169, 6910, 263, 1805, 1442, 3738, 3097, 453, 453, 258, 11133, 8170, 310, 10248, 815, 1003, 8170, 310, 10248, 1341, 476, 272, 692, 453, 18411, 453, 3041, 645, 4953, 9898, 9215, 717, 4953, 5990, 595, 7838, 305, 7728, 11550, 293, 3951, 20978, 681, 15477, 2562, 9816, 7495, 3097, 22592, 1699, 13707, 3682, 7257, 10031, 453, 22610, 1775, 538, 1582, 269, 1805, 4169, 3097, 4848, 453, 328, 269, 9690, 25820, 6262, 318, 1326, 14483, 25820, 3738, 1948, 524, 318, 1326, 14483, 25820, 786, 1205, 519, 3902, 540, 1699, 1805, 1442, 454, 453, 18257, 7531, 22592, 1305, 14483, 3682, 7257, 630, 1345, 267, 7351, 11266, 1993, 527, 2187, 453, 19677, 5861, 584, 1370, 3682, 7257, 815, 7351, 11266, 1993, 527, 3097, 453, 13537, 9497, 763, 7351, 30825, 568, 476, 834, 2073, 1582, 5861, 584, 1370, 3682, 7257, 2020, 22592, 1305, 290, 1662, 4311, 267, 22418, 2187, 453, 19677, 5861, 1662, 815, 22418, 19638, 19638, 7531, 0, 454, 3698, 31693, 3799, 2187, 825, 952, 562, 2525, 273, 912, 1038, 2132, 476, 272, 454, 825, 8640, 562, 2525, 274, 912, 1038, 2132, 476, 272, 454, 825, 3116, 912, 1038, 2040, 284, 271, 454, 1038, 585, 1775, 538, 2039, 263, 273, 19885, 2187, 2018, 2040, 284, 8999, 266, 1372, 1260, 2821, 9217, 12684, 1372, 1260, 2821, 3799, 25829, 266, 272, 994, 1038, 2132, 2040, 454, 333, 284, 277, 454, 258, 1104, 19073, 321, 454, 258, 19073, 321, 15630, 4671, 15869, 4590, 2745, 263, 1372, 1260, 2821, 3799, 4297, 0, 692, 3698, 645, 4306, 3799, 2187, 825, 952, 562, 2525, 271, 610, 562, 2525, 272, 912, 1038, 2132, 476, 272, 454, 825, 3116, 912, 1038, 2040, 284, 271, 454, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 2040, 284, 8999, 266, 289, 4306, 9217, 12684, 289, 4306, 3799, 268, 272, 25829, 994, 1038, 2132, 2040, 692, 333, 284, 273, 454, 2745, 16360, 4306, 3799, 4297, 0, 320, 284, 476, 1496, 276, 267, 476, 277, 267, 476, 278, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 275, 2639, 258, 513, 17342, 6872, 267, 476, 5780, 267, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 4029, 267, 476, 3953, 2639, 3698, 1265, 28804, 328, 263, 8527, 622, 267, 3847, 267, 2431, 2187, 825, 1948, 1104, 19073, 321, 454, 825, 1948, 19073, 321, 15630, 4671, 15869, 4590, 825, 952, 1318, 268, 3847, 2525, 271, 912, 1038, 2132, 17967, 314, 3847, 2639, 825, 8640, 1318, 268, 3847, 2525, 272, 912, 1038, 952, 17967, 314, 3847, 316, 283, 8527, 622, 314, 2431, 14158, 2018, 2132, 17967, 314, 3847, 2639, 1038, 3116, 912, 2018, 2132, 17967, 314, 2431, 2639, 825, 4571, 25507, 9230, 3847, 266, 2431, 8358, 273, 994, 825, 5934, 284, 2381, 8443, 8527, 622, 314, 3847, 3910, 8527, 622, 314, 13232, 3910, 8527, 622, 314, 13232, 266, 272, 3910, 8527, 622, 314, 2431, 316, 7481, 825, 952, 17967, 28827, 263, 2381, 3065, 264, 2525, 3847, 610, 17967, 28827, 263, 2381, 3065, 264, 2525, 13232, 912, 1038, 2132, 1265, 28804, 328, 263, 8527, 622, 267, 3847, 267, 13232, 994, 825, 3116, 912, 1038, 2132, 1265, 28804, 328, 263, 8527, 622, 267, 13232, 266, 272, 267, 2431, 994, 825, 1948, 952, 17967, 314, 13232, 316, 283, 8527, 622, 314, 2431, 316, 610, 17967, 314, 3847, 316, 283, 8527, 622, 314, 2431, 14158, 825, 1948, 672, 2132, 1265, 28804, 328, 263, 8527, 622, 267, 3847, 267, 13232, 994, 825, 1948, 3116, 912, 825, 1948, 672, 2132, 1265, 28804, 328, 263, 8527, 622, 267, 13232, 266, 272, 267, 2431, 2020, 2745, 6600, 785, 28804, 328, 5416, 267, 271, 267, 6352, 5416, 9984, 272, 4917, 0, 3698, 4847, 5091, 908, 318, 720, 30044, 318, 720, 2187, 825, 6690, 318, 720, 815, 1250, 318, 720, 270, 273, 1341, 476, 278, 454, 825, 2132, 6690, 318, 720, 692, 518, 923, 318, 3916, 527, 815, 4847, 5091, 908, 318, 720, 263, 5655, 994, 329, 3996, 318, 3916, 527, 815, 4847, 5091, 908, 318, 720, 263, 5392, 994, 2745, 2891, 292, 878, 666, 4266, 6690, 4939, 323, 610, 4587, 8442, 4939, 2144, 923, 318, 3916, 527, 454, 2745, 2891, 297, 4141, 666, 4266, 6690, 4939, 323, 610, 4587, 8442, 4939, 3675, 525, 318, 3916, 527, 692, 258, 4208, 1810, 1405, 891, 16493, 1413, 519, 1482, 607, 519, 5850, 888, 28744, 2891, 292, 878, 666, 4266, 6690, 2580, 2144, 923, 318, 3916, 527, 267, 834, 528, 4587, 5602, 28744, 2891, 297, 4141, 666, 4266, 6690, 2580, 3675, 525, 318, 3916, 527, 267, 834, 528, 4587, 15419, 0, 258, 7046, 513, 3758, 609, 2328, 27704, 454, 325, 342, 815, 1930, 3488, 338, 2217, 17902, 3299, 1412, 342, 17210, 325, 342, 22182, 3488, 16240, 930, 8631, 538, 1250, 1257, 3758, 14826, 5073, 325, 342, 22182, 3488, 296, 899, 28019, 5073, 325, 342, 25379, 10797, 325, 337, 815, 1930, 3488, 338, 2217, 17902, 3299, 1412, 337, 17210, 258, 3367, 782, 540, 3758, 543, 2322, 883, 5569, 454, 3667, 815, 9992, 18667, 3890, 22322, 2745, 29495, 994, 325, 337, 25379, 3890 ]

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

[ 2735, 279, 269, 834, 29493, 7781, 30691, 607, 2447, 582, 19414, 5669, 3197, 585, 715, 553, 583, 527, 1069, 525, 8970, 9528, 630, 300, 1824, 577, 6160, 5652, 264, 543, 715, 269, 552, 874, 337, 1092, 324, 630, 29804, 16936, 1066, 264, 630, 3674, 30601, 281, 12910, 527, 13160, 1040, 257, 7788, 1023, 540, 519, 9980, 558, 1670, 5980, 540, 3013, 476, 10037, 281, 476, 4375, 276, 1700, 274, 4200, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 11820, 274, 21669, 525, 320, 270, 10037, 269, 274, 269, 4375, 276, 454, 297, 7491, 636, 8121, 267, 22216, 21884, 808, 300, 267, 17384, 631, 269, 476, 2735, 272, 269, 834, 11328, 13905, 1063, 519, 21426, 540, 20521, 4054, 538, 2558, 514, 21059, 543, 519, 17605, 5900, 320, 524, 31525, 4925, 543, 25069, 8619, 838, 1701, 4750, 540, 11930, 17905, 476, 1240, 630, 272, 2567, 476, 6942, 1700, 4198, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15996, 278, 270, 13301, 27886, 279, 454, 299, 889, 514, 962, 291, 267, 27293, 717, 294, 269, 476, 2735, 272, 269, 834, 9377, 5151, 540, 715, 553, 583, 527, 1069, 525, 30412, 630, 3674, 30601, 267, 12910, 527, 13160, 264, 1996, 23111, 663, 7699, 24970, 11596, 630, 292, 4823, 1092, 267, 3733, 3944, 1815, 15047, 13160, 1040, 257, 645, 3999, 1886, 3821, 476, 1724, 281, 476, 5780, 1700, 10602, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 15996, 278, 270, 24487, 4281, 278, 273, 454, 306, 3832, 742, 571, 18255, 681, 295, 267, 16410, 516, 571, 645, 297, 267, 918, 1716, 18040, 267, 2672, 715, 25286, 269, 476, 1220, 273, 269, 834, 301, 553, 583, 527, 1069, 525, 1942, 23653, 630, 3674, 30601, 281, 12910, 527, 13160, 264, 538, 8419, 281, 3689, 2594, 540, 513, 1875, 15134, 2438, 10661, 676, 513, 2362, 2165, 924, 1701, 8419, 9980, 558, 6048, 476, 5952, 281, 476, 24129, 1700, 22550, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 13679, 274, 270, 9826, 276, 268, 29024, 271, 263, 1220, 273, 264, 5400, 276, 314, 271, 2767, 274, 281, 301, 5746, 2316, 293, 316, 273, 269, 271, 269, 4596, 282, 273, 454, 306, 3832, 742, 571, 18255, 681, 295, 267, 670, 5255, 332, 1515, 670, 295, 267, 918, 1716, 18040, 267, 2782, 1676, 808, 267, 918, 516, 576, 330, 808, 267, 26527, 1690, 327, 645, 267, 16410, 516, 571, 645, 297, 267, 670, 1157, 2006, 681, 289, 269, 476, 1001, 275, 269, 834, 307, 1173, 9643, 17594, 540, 519, 16678, 2165, 924, 267, 715, 553, 583, 527, 1069, 525, 8970, 9528, 630, 3674, 30601, 281, 12910, 527, 13160, 281, 715, 553, 583, 527, 1069, 527, 2088, 324, 1070, 689, 1102, 6479, 8778, 338, 538, 25878, 8419, 1701, 4139, 4750, 540, 28814, 5004, 476, 2568, 281, 476, 280, 1700, 2641, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 6021, 277, 3583, 279, 10619, 269, 1001, 275, 269, 6434, 273, 276, 2764, 454, 306, 3832, 742, 571, 18255, 681, 295, 267, 918, 516, 576, 330, 808, 267, 590, 345, 531, 753, 7288, 9338, 267, 21388, 808, 310, 269, 476, 1220, 276, 269, 834, 26239, 7716, 344, 540, 683, 582, 7211, 818, 321, 648, 531, 30412, 715, 553, 583, 527, 1069, 525, 8970, 9528, 543, 715, 269, 1942, 23653, 630, 3674, 30601, 281, 12910, 527, 13160, 281, 715, 553, 583, 527, 1069, 527, 2088, 324, 1070, 609, 2963, 689, 19916, 267, 11976, 267, 543, 6915, 613, 2762, 1701, 7788, 1023, 540, 519, 9980, 558, 1670, 5980, 540, 3013, 476, 7176, 281, 476, 24129, 1700, 27005, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 8182, 274, 270, 9826, 274, 268, 9262, 275, 277, 263, 1220, 276, 264, 6021, 279, 314, 271, 2767, 274, 281, 306, 2177, 2969, 301, 316, 273, 269, 271, 269, 4596, 282, 273, 454, 1320, 11448, 19154, 269, 476, 2735, 275, 269, 834, 28139, 326, 2106, 344, 538, 519, 3026, 582, 7211, 2165, 924, 715, 553, 583, 527, 1069, 525, 8970, 9528, 281, 5020, 1686, 4539, 540, 15596, 8994, 1143, 1701, 19884, 17905, 543, 5081, 984, 5735, 476, 1691, 281, 476, 14056, 1700, 15793, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 20324, 293, 16573, 280, 866, 6734, 454, 1320, 11448, 19154, 267, 3143, 328, 8527, 595, 269, 476, 2735, 273, 269, 834, 11293, 326, 520, 1355, 1065, 6055, 1161, 538, 715, 553, 583, 527, 1069, 525, 8970, 9528, 630, 300, 1824, 577, 6160, 5652, 264, 630, 3674, 30601, 281, 12910, 527, 13160, 1040, 257, 4139, 4750, 540, 24538, 5651, 874, 1108, 543, 2506, 2421, 14347, 476, 1556, 281, 476, 22659, 1700, 26297, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 13478, 16573, 271, 268, 278, 3953, 273, 263, 11025, 264, 8517, 6187, 268, 279, 454, 307, 3757, 328, 10314, 808, 293, 267, 22084, 615, 595, 269, 476, 2735, 276, 269, 834, 31367, 7939, 540, 4874, 996, 1143, 1282, 25061, 538, 519, 683, 582, 7211, 2165, 924, 715, 553, 583, 527, 1069, 525, 1942, 23653, 1701, 4750, 540, 11906, 17905, 476, 1556, 281, 476, 29204, 1700, 28590, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 278, 20324, 293, 26522, 14625, 1240, 0, 5415, 982, 513, 2929, 3979, 7980, 10692, 585, 7810, 7060, 538, 2622, 2782, 4083, 269, 2560, 3245, 476, 4350, 280, 7366, 540, 5215, 540, 4639, 3979, 7980, 941, 2366, 547, 519, 4395, 538, 2342, 269, 4032, 1652, 2367, 689, 519, 3703, 10125, 1185, 547, 4196, 607, 581, 31600, 543, 538, 824, 1875, 10687, 321, 520, 656, 5107, 563, 3963, 729, 4000, 1271, 538, 32685, 273, 888, 763, 6370, 585, 3345, 4000, 729, 513, 6560, 585, 1852, 540, 519, 590, 22222, 22575, 543, 1569, 547, 3282, 689, 519, 5664, 5101, 543, 6151, 2326, 689, 5607, 269, 2560, 13813, 538, 1880, 1185, 1831, 513, 2565, 7580, 20161, 1813, 547, 519, 2799, 2964, 1436, 540, 2413, 20679, 563, 1692, 1705, 4000, 1205, 3238, 538, 32685, 273, 888, 6624, 20338, 21821, 539, 1107, 610, 941, 931, 5296, 539, 676, 741, 7810, 14610, 267, 6628, 1107, 547, 4339, 519, 31196, 2477, 538, 2622, 2782, 476, 273, 269, 2560, 4706, 1847, 19430, 5333, 543, 6628, 547, 4431, 676, 30418, 2112, 593, 519, 31196, 4229, 540, 5125, 267, 3366, 676, 29747, 13609, 282, 7977, 267, 3366, 676, 5484, 17010, 631, 1380, 565, 7236, 282, 543, 3567, 267, 896, 31674, 7288, 1677, 14765, 563, 1432, 5949, 538, 4000, 1282, 2622, 2782, 476, 273, 888, 1103, 476, 3707, 271, 267, 7977, 779, 3673, 626, 9598, 1807, 5484, 17010, 631, 1380, 565, 7236, 4941, 547, 4228, 1010, 3979, 7276, 269, 3571, 4229, 538, 18629, 16091, 30240, 3703, 22590, 267, 855, 538, 476, 3707, 272, 941, 30461, 543, 17204, 269, 769, 15479, 687, 689, 8644, 5984, 883, 5527, 849, 1558, 14710, 563, 1432, 2477, 941, 3238, 538, 32685, 273, 538, 4000, 888, 763, 3345, 3979, 5859, 540, 519, 5822, 2622, 2782, 3576, 1747, 538, 3345, 4000, 689, 476, 1015, 4873, 476, 3707, 271, 547, 476, 1724, 2904, 476, 3707, 274, 269, 898, 3769, 11044, 10692, 538, 519, 8644, 12505, 543, 12266, 24301, 630, 310, 3480, 19164, 22411, 267, 849, 1634, 607, 519, 19164, 2782, 264, 543, 538, 25448, 543, 27988, 807, 630, 23330, 566, 8776, 577, 1070, 607, 1134, 607, 31512, 807, 630, 307, 684, 529, 807, 22411, 1916, 12441, 5125, 28117, 4000, 888, 3528, 476, 3707, 272, 267, 519, 7969, 7952, 1185, 1044, 782, 855, 29041, 543, 13609, 1185, 547, 6494, 4436, 10136, 547, 3345, 4000, 547, 2312, 856, 20466, 10136, 269, 634, 4436, 3196, 729, 1291, 676, 8210, 7773, 681, 2174, 601, 1107, 835, 540, 519, 20923, 1252, 1023, 540, 519, 2112, 269, 769, 4728, 476, 3707, 272, 267, 681, 2174, 601, 16091, 519, 27469, 538, 8644, 5984, 563, 12441, 6792, 4339, 538, 32685, 273, 888, 300, 1410, 4815, 2968, 606, 3742, 11350, 580, 5166, 538, 2622, 2782, 4083, 538, 476, 3707, 273, 1310, 5125, 521, 1678, 1079, 540, 922, 7382, 619, 269, 634, 11204, 4914, 23122, 267, 661, 2763, 638, 1408, 22087, 8759, 267, 3576, 519, 1291, 538, 28409, 824, 5824, 1977, 2477, 547, 1489, 519, 27469, 607, 1134, 269, 2560, 589, 1507, 11204, 2011, 1770, 13234, 609, 519, 2136, 2276, 538, 519, 13372, 563, 1432, 18086, 1705, 519, 31196, 7060, 4163, 856, 538, 4000, 888, 1103, 4000, 267, 519, 31196, 7060, 5645, 856, 606, 18086, 538, 3345, 4000, 267, 609, 519, 2832, 540, 14710, 519, 3703, 543, 3943, 538, 741, 10125, 538, 5527, 543, 27988, 807, 267, 6606, 267, 543, 1852, 519, 8574, 998, 519, 11335, 563, 3963, 1705, 7977, 6467, 5011, 538, 32685, 273, 888, 2005, 3315, 1185, 922, 1378, 11440, 27606, 2443, 14356, 1759, 593, 519, 4936, 7276, 543, 2147, 547, 519, 4436, 3609, 540, 682, 321, 839, 571, 636, 2443, 799, 804, 14414, 609, 1346, 540, 6628, 543, 5333, 269, 631, 1380, 565, 7236, 543, 13609, 1312, 22002, 606, 19710, 1063, 5125, 543, 7977, 267, 855, 5125, 779, 5775, 577, 331, 1380, 609, 15212, 729, 513, 23578, 1448, 563, 3963, 1705, 3567, 4323, 721, 888, 763, 5545, 5497, 519, 4323, 607, 513, 15324, 2962, 547, 1832, 519, 2136, 2276, 7414, 18307, 564, 689, 7679, 1359, 609, 922, 9709, 4108, 3527, 538, 14913, 5607, 1996, 18246, 11182, 540, 519, 2136, 8003, 267, 519, 13814, 267, 543, 519, 2136, 2276, 563, 7617, 2477, 1705, 711, 4339, 538, 32685, 273, 888, 2467, 941, 5216, 2477, 602, 10294, 29591, 282, 17577, 267, 16848, 267, 8050, 267, 13785, 267, 634, 28912, 267, 1656, 528, 571, 267, 8581, 543, 17389, 577, 1084, 7322, 563, 7617, 2197, 729, 1034, 1271, 32685, 273, 888, 4407, 1034, 1294, 519, 2136, 2276, 607, 2348, 5129, 519, 2629, 1909, 538, 8709, 638, 5109, 29747, 13609, 267, 519, 3703, 267, 2687, 547, 1135, 1782, 1239, 5950, 713, 3018, 267, 1294, 2933, 607, 2348, 5129, 519, 7887, 851, 538, 519, 2112, 4674, 2443, 4352, 789, 11760, 602, 519, 21647, 1131, 711, 723, 1044, 7753, 1510, 519, 8168, 5742, 6693, 7617, 2197, 814, 519, 1655, 7980, 538, 32685, 273, 888, 763, 4436, 7952, 568, 835, 540, 519, 20923, 20679, 2479, 2361, 539, 543, 729, 9120, 547, 1169, 7952, 621, 5185, 538, 24918, 269, 0, 21607, 13560, 634, 570, 4209, 4653, 2336, 2690, 1082, 1004, 267, 26025, 568, 513, 851, 540, 741, 4948, 1272, 269, 1358, 4440, 1810, 1405, 1256, 1589, 7466, 950, 789, 946, 621, 2899, 610, 7466, 630, 528, 811, 264, 513, 1554, 563, 3719, 972, 781, 513, 1966, 609, 713, 912, 6124, 2090, 616, 13031, 602, 936, 7308, 23716, 26025, 568, 9292, 1154, 707, 4522, 543, 2949, 15629, 1072, 563, 1103, 713, 5816, 649, 2911, 827, 519, 12178, 540, 26025, 267, 543, 606, 20231, 268, 2793, 307, 7838, 3201, 9338, 9898, 2793, 20937, 602, 786, 1118, 707, 4522, 19542, 17321, 543, 707, 1560, 8902, 2221, 2336, 20062, 2969, 4959, 8668, 9474, 27345, 9215, 5588, 27426, 3008, 15288, 888, 2414, 1054, 335, 4292, 814, 1044, 1472, 585, 5756, 267, 855, 621, 7012, 1405, 519, 1101, 5711, 1416, 1587, 593, 519, 2344, 563, 1103, 1249, 267, 5694, 8869, 729, 519, 1101, 1587, 5227, 585, 1004, 547, 946, 547, 2973, 741, 4522, 543, 14779, 269, 630, 272, 994, 2414, 1054, 8869, 568, 2500, 538, 7738, 19596, 267, 9117, 607, 606, 1884, 1047, 10364, 543, 538, 29000, 538, 519, 1761, 6604, 540, 5694, 9178, 267, 543, 814, 585, 1082, 1296, 269, 898, 729, 1256, 27749, 623, 8008, 8085, 2752, 982, 26025, 689, 476, 6245, 277, 547, 476, 3707, 280, 269, 630, 273, 994, 2005, 7012, 1405, 2394, 4213, 3459, 547, 1118, 1666, 6804, 6811, 602, 1256, 519, 1977, 15482, 5948, 15739, 323, 1243, 602, 26025, 3459, 547, 1831, 2442, 269, 630, 272, 994, 310, 27073, 5058, 281, 2290, 8546, 540, 26025, 1223, 918, 21135, 513, 1762, 1126, 269, 22732, 547, 606, 20231, 268, 2793, 307, 7838, 3201, 9338, 9898, 2793, 20937, 543, 2149, 707, 3214, 2221, 256, 630, 274, 994, 2414, 1054, 335, 4292, 568, 519, 1034, 1455, 1259, 585, 1004, 547, 11453, 741, 4522, 2221, 267, 855, 2687, 547, 519, 2622, 2657, 9257, 267, 5694, 9178, 543, 10733, 2068, 616, 856, 540, 1852, 782, 936, 519, 1158, 269, 630, 275, 994, 1607, 568, 1100, 9983, 1317, 623, 26097, 5058, 543, 1082, 824, 2067, 2409, 616, 18445, 547, 581, 811, 2500, 982, 519, 2025, 1259, 540, 17678, 707, 4522, 596, 4312, 2141, 2944, 269, 630, 276, 994, 15578, 667, 20315, 8991, 5508, 9215, 5588, 27426, 3008, 15288, 454, 2252, 596, 2731, 1589, 827, 621, 267, 26025, 568, 513, 20868, 1587 ]

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

[ 14942, 3800, 971, 607, 3540, 27136, 17171, 267, 1875, 1723, 7774, 267, 543, 824, 3860, 7215, 540, 29926, 780, 30399, 267, 12790, 2516, 15877, 6101, 1379, 1419, 6964, 12809, 4187, 1813, 547, 922, 10333, 543, 12117, 269, 4706, 9029, 6013, 538, 7432, 519, 7515, 593, 1346, 8066, 12250, 1852, 910, 3079, 540, 759, 15659, 547, 741, 1377, 540, 5208, 267, 12809, 759, 8651, 20549, 547, 4497, 593, 1346, 2474, 267, 7551, 20392, 519, 1799, 7394, 13210, 540, 519, 4567, 28943, 269, 1635, 3257, 865, 267, 789, 1711, 5042, 4744, 28585, 1369, 2486, 267, 8903, 24319, 547, 2243, 17888, 8155, 543, 2015, 8925, 780, 27879, 633, 18650, 4438, 519, 6406, 7126, 16527, 692, 7628, 519, 30971, 1485, 540, 13343, 18844, 4031, 267, 3979, 4892, 5185, 11528, 10168, 3232, 269, 6736, 1373, 16155, 7254, 794, 539, 267, 891, 25641, 2853, 941, 25432, 2150, 523, 762, 269, 2920, 643, 1235, 6444, 519, 991, 585, 9097, 1689, 543, 5828, 547, 12809, 4187, 12485, 547, 4161, 24407, 6848, 3889, 780, 3080, 7986, 1383, 2501, 689, 28266, 20088, 262, 1219, 5050, 957, 540, 32222, 547, 2285, 909, 1200, 10160, 593, 513, 27293, 1668, 538, 476, 4198, 276, 269, 4173, 2241, 23972, 17275, 513, 2749, 4204, 7911, 22574, 3366, 676, 9410, 13162, 3751, 12789, 1421, 799, 524, 23774, 1194, 1857, 6283, 8907, 543, 10776, 7458, 27789, 15024, 269, 6684, 267, 12899, 4831, 1694, 15564, 588, 3042, 2066, 519, 3162, 12006, 519, 21494, 640, 540, 7292, 9668, 267, 16550, 1870, 5411, 547, 556, 29264, 1279, 13463, 671, 28639, 780, 4322, 8320, 540, 12809, 4187, 7604, 1078, 519, 7415, 4557, 13369, 543, 5876, 540, 3540, 2924, 15628, 269, 1358, 9927, 4948, 5624, 883, 6370, 3033, 338, 585, 5126, 267, 1210, 1560, 1893, 267, 16563, 267, 543, 1869, 1145, 607, 14984, 9604, 1996, 632, 16058, 1436, 269, 5047, 267, 789, 6273, 9118, 1866, 547, 6443, 519, 4339, 267, 5807, 17604, 1851, 3309, 2950, 8087, 538, 13287, 540, 7862, 780, 28757, 25684, 1299, 10241, 692, 9213, 267, 30172, 540, 519, 3540, 2924, 3350, 13469, 9244, 538, 1585, 1514, 5126, 9620, 5001, 269, 3245, 4563, 22032, 17460, 547, 2825, 5322, 267, 15156, 3136, 14139, 12809, 4187, 2994, 547, 1198, 6209, 1689, 269, 1280, 3236, 267, 30557, 9412, 3087, 2209, 8246, 12560, 17600, 267, 3625, 3547, 267, 543, 2923, 11044, 547, 2721, 3007, 547, 6805, 2244, 2924, 543, 8733, 11091, 780, 11101, 267, 2413, 2029, 6087, 1007, 3029, 540, 12809, 4187, 269, 4317, 2923, 5867, 1683, 28503, 585, 4687, 2984, 267, 20834, 1944, 1489, 267, 543, 12180, 7104, 2962, 269, 25300, 32002, 17933, 2636, 2043, 547, 7119, 12303, 267, 7586, 4328, 9739, 543, 5807, 2518, 4656, 1472, 2565, 2152, 899, 7128, 30468, 267, 4008, 8635, 267, 543, 11806, 266, 2924, 780, 4913, 267, 13915, 8044, 602, 3059, 7589, 1522, 32561, 519, 1764, 540, 2757, 12809, 4187, 2409, 269, 28024, 696, 923, 25077, 602, 2228, 6278, 1419, 14543, 547, 14377, 883, 15889, 4093, 267, 3056, 930, 547, 14962, 5691, 17933, 607, 1793, 871, 339, 13659, 269, 16480, 267, 972, 3788, 1713, 1761, 585, 1623, 25027, 3347, 1063, 2228, 543, 22356, 12331, 540, 12809, 4187, 267, 3226, 952, 10244, 539, 3927, 2509, 3838, 3853, 780, 6962, 692, 18698, 519, 1523, 540, 12809, 4187, 1369, 519, 2796, 540, 519, 1977, 6406, 7126, 11873, 3091, 3407, 4030, 883, 1312, 3140, 2621, 543, 1459, 6377, 3156, 269, 3414, 6297, 2079, 540, 2250, 18454, 543, 2591, 267, 4207, 15628, 666, 29742, 4245, 10858, 547, 741, 1378, 3123, 269, 11569, 267, 519, 11972, 9371, 540, 12809, 4187, 5713, 607, 513, 15266, 547, 519, 13710, 1379, 540, 32593, 775, 267, 11121, 2104, 5481, 547, 1796, 6109, 1996, 21440, 16382, 621, 14340, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 27879, 633, 4187, 4122, 4016, 547, 3527, 540, 32593, 550, 13889, 610, 4187, 547, 6392, 269, 634, 3844, 4183, 568, 519, 6857, 3903, 676, 519, 11051, 547, 17712, 664, 689, 513, 10795, 3210, 1256, 538, 519, 3068, 540, 10795, 14699, 269, 634, 2165, 3357, 883, 1455, 946, 1282, 519, 7115, 6560, 538, 3127, 1063, 519, 476, 4572, 271, 338, 543, 476, 3707, 279, 269, 898, 814, 1044, 1031, 4922, 676, 2516, 945, 3668, 6101, 6392, 610, 2990, 543, 814, 3006, 1044, 1572, 519, 968, 933, 777, 517, 540, 519, 4617, 3034, 763, 2165, 568, 22801, 267, 2705, 267, 538, 602, 621, 10522, 1780, 2032, 269, 769, 1249, 267, 12809, 4187, 666, 581, 2219, 540, 607, 606, 3742, 267, 855, 32593, 550, 267, 7154, 540, 6560, 538, 513, 1514, 4655, 269, 634, 3527, 602, 2887, 896, 519, 2165, 12809, 4187, 1331, 1082, 3029, 540, 3540, 27136, 17171, 543, 1875, 1723, 7774, 27137, 607, 1694, 15564, 267, 7911, 20799, 1206, 267, 3625, 3547, 543, 23909, 540, 5656, 267, 3454, 30671, 267, 543, 4244, 12326, 543, 2923, 269, 2859, 3742, 3029, 540, 12809, 4187, 1331, 16716, 267, 3802, 8083, 267, 13889, 22415, 1127, 267, 26974, 3740, 17600, 267, 543, 14000, 16716, 563, 27879, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 8466, 1315, 2136, 2276, 1315, 476, 736, 628, 11416, 1315, 6406, 7126, 11873, 630, 4198, 271, 338, 268, 3422, 271, 338, 1040, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 4985, 547, 20636, 5678, 543, 9177, 692, 8702, 547, 713, 3078, 3460, 883, 519, 1158, 540, 519, 20636, 1893, 543, 2528, 256, 769, 713, 3184, 267, 649, 786, 2263, 519, 3140, 2796, 540, 519, 20636, 1893, 267, 922, 2078, 609, 824, 27272, 4654, 267, 543, 922, 4644, 1369, 22778, 807, 543, 3564, 269, 1284, 786, 849, 6338, 1883, 2686, 2609, 971, 607, 1728, 326, 613, 267, 808, 14397, 4521, 267, 543, 20636, 1374, 602, 3337, 4207, 16862, 269, 901, 5748, 786, 5965, 596, 585, 707, 21599, 883, 20636, 10409, 3889, 543, 7520, 4514, 3444, 14426, 8223, 780, 6637, 476, 273, 281, 1912, 517, 7497, 543, 1912, 517, 1108, 910, 4197, 20636, 16319, 692, 1103, 713, 3184, 267, 5490, 883, 519, 2189, 13093, 2045, 543, 13093, 1670, 2934, 540, 519, 20636, 1893, 269, 31385, 519, 15116, 885, 540, 20262, 3259, 267, 3159, 267, 543, 546, 13023, 628, 29330, 282, 4487, 11634, 11445, 5786, 267, 535, 878, 894, 21350, 6005, 21939, 267, 543, 521, 12534, 629, 327, 752, 16210, 1107, 9259, 15534, 538, 2296, 2943, 1898, 547, 8076, 12332, 269, 25800, 3054, 609, 519, 4139, 1912, 517, 2045, 22843, 630, 296, 5183, 264, 6698, 1031, 2429, 713, 1433, 543, 2259, 1098, 21564, 20636, 1913, 1210, 891, 3197, 269, 1635, 2502, 609, 8301, 19827, 543, 5751, 267, 3986, 707, 6947, 1983, 543, 2482, 519, 24536, 585, 4977, 12332, 780, 6637, 476, 274, 281, 5651, 874, 334, 1606, 9321, 12519, 23113, 910, 29923, 6478, 19725, 543, 15716, 18963, 692, 1607, 3184, 6212, 593, 20636, 24466, 543, 4852, 716, 673, 14960, 269, 25826, 10902, 4008, 7084, 3652, 267, 18781, 6876, 3270, 267, 2178, 5288, 4617, 8231, 17788, 725, 267, 543, 2123, 15749, 946, 269, 3414, 2502, 2238, 899, 4845, 30337, 618, 4247, 267, 5470, 15494, 5751, 267, 543, 8144, 10467, 1063, 2296, 543, 20636, 267, 4835, 1125, 1950, 10641, 657, 9321, 12519, 21437, 1247, 17975, 707, 2542, 543, 1603, 5759, 780, 6637, 476, 275, 281, 26285, 3901, 923, 543, 5494, 6847, 4460, 619, 910, 19484, 9442, 26505, 692, 303, 4048, 15122, 16169, 4249, 513, 2629, 1909, 538, 3811, 2792, 2066, 4529, 269, 10812, 20636, 17187, 8155, 267, 2184, 8864, 2994, 267, 2490, 23824, 2553, 267, 1394, 577, 14128, 10291, 267, 543, 11407, 12508, 269, 21302, 8076, 19929, 6537, 689, 2442, 2923, 2959, 267, 4081, 5468, 267, 543, 1514, 4205, 269, 10576, 18596, 31544, 2934, 5935, 5714, 20636, 7391, 543, 24917, 707, 1378, 32705, 23258, 998, 6098, 6340, 2238, 543, 14436, 5717, 780, 6637, 476, 276, 281, 17502, 1470, 3620, 626, 5566, 12745, 910, 1215, 5678, 5345, 11510, 3683, 5384, 692, 291, 10679, 883, 519, 4241, 8739, 3620, 626, 5566, 4720, 540, 519, 20636, 1893, 269, 5530, 6196, 25245, 7506, 267, 3346, 14001, 2242, 1813, 547, 8899, 4436, 267, 5824, 267, 3943, 267, 543, 2296, 267, 13172, 531, 7648, 267, 543, 2413, 32301, 3646, 269, 18918, 609, 3119, 5931, 20515, 1114, 5933, 540, 20636, 2854, 1686, 267, 5431, 6237, 31126, 543, 682, 13877, 976, 267, 543, 5660, 875, 2797, 2621, 8032, 519, 1893, 5251, 540, 16862, 780, 6637, 476, 277, 281, 7351, 12367, 910, 5564, 13308, 1143, 267, 32501, 267, 543, 7913, 8177, 692, 2026, 649, 1935, 4207, 16862, 267, 4983, 10296, 2152, 7133, 519, 20636, 1893, 2221, 269, 6333, 1617, 13308, 1143, 1851, 11082, 267, 2034, 1893, 11601, 2591, 5185, 676, 1875, 28921, 10529, 267, 3059, 3310, 593, 20636, 9647, 2762, 267, 683, 860, 3359, 16109, 689, 6639, 10124, 267, 543, 6286, 540, 14051, 593, 12102, 4654, 269, 12160, 622, 538, 9840, 4478, 1893, 3609, 3664, 543, 6218, 1761, 4539, 585, 2104, 5481, 540, 20636, 6267, 780, 9961, 713, 1837, 267, 11441, 547, 1118, 4296, 1063, 7811, 1702, 543, 4052, 3498, 269, 22737, 3742, 1565, 4485, 543, 10319, 3785, 5009, 2565, 3206, 543, 17685, 8590, 4656, 269, 11086, 267, 11349, 513, 11455, 5133, 2509, 4914, 1893, 1353, 12082, 538, 6568, 267, 7279, 267, 543, 7214, 22759, 1765, 12921, 1571, 3810, 12595, 1312, 3330, 543, 3544, 24243, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 276, 14579, 3427, 16390, 10158, 14568, 20537, 634, 1977, 19405, 454, 2252, 596, 4312, 2479, 1224, 4376, 593, 519, 4950, 267, 596, 917, 602, 519, 1977, 2069, 1062, 3884, 1405, 3257, 865, 3905, 269, 2986, 1576, 267, 14605, 25250, 678, 1218, 1996, 18923, 6956, 3344, 540, 6214, 543, 2528, 5749, 1405, 519, 6852, 8810, 766, 540, 519, 2136, 2276, 267, 855, 2518, 3084, 2069, 7194, 798, 2285, 930, 2597, 547, 519, 834, 1805, 1575, 573, 1977, 257, 8305, 9189, 269, 1703, 616, 267, 2705, 267, 1896, 4712, 13402, 3435, 547, 938, 1082, 267, 1082, 2042, 269, 2353, 649, 723, 547, 798, 568, 15179, 938, 11348, 543, 1577, 824, 2477, 4001, 721, 875, 547, 1831, 811, 1732, 693, 18375, 269, 1280, 1383, 4429, 13900, 4771, 12140, 2060, 14068, 4530, 590, 13990, 5502, 2986, 28981, 4256, 8750, 532, 1772, 14568, 1280, 634, 4841, 454, 24092, 1242, 4152, 814, 1279, 1044, 519, 1977, 9949, 585, 12238, 3101, 875, 5100, 1053, 616, 267, 10375, 569, 14495, 1524, 519, 3003, 2790, 1646, 540, 513, 1126, 1524, 547, 513, 19619, 540, 6905, 15328, 15879, 17118, 269, 9208, 1436, 1797, 7862, 267, 2495, 602, 1169, 2875, 267, 7488, 540, 1018, 741, 28364, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11123, 292, 22218, 700, 20315, 308, 17803, 29898, 1315, 20636, 1315, 667, 13089, 1975, 5766, 11584, 19241, 584, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 12861, 27484, 15369, 1290, 545, 16262, 3098, 692, 5970, 596, 2479, 1224, 513, 13371, 1433, 610, 8642, 3209, 602, 5059, 593, 513, 1808, 6249, 286, 9320, 621, 729, 827, 27568, 8165, 1996, 9409, 5636, 1622, 267, 610, 5310, 621, 8268, 519, 3232, 2729, 540, 8723, 1004, 269, 3143, 2339, 1018, 519, 6249, 267, 891, 10070, 540, 14676, 616, 1572, 16320, 3098, 269, 1323, 16320, 1108, 568, 899, 513, 4015, 540, 2110, 2984, 610, 9954, 676, 1114, 4589, 267, 855, 3079, 267, 789, 2811, 14676, 2439, 1103, 713, 3184, 267, 649, 786, 2263, 875, 547, 1711, 707, 1360, 1378, 873, 539, 13371, 16320, 1108, 256, 1284, 786, 1451, 827, 1114, 4798, 543 ]

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

[ 2048, 763, 1289, 3357, 538, 4166, 607, 646, 4862, 519, 5639, 540, 1010, 21534, 812, 19028, 268, 2048, 2005, 7074, 602, 267, 607, 3631, 585, 741, 960, 267, 519, 1656, 619, 976, 1031, 741, 3434, 21877, 543, 21534, 2367, 689, 519, 3690, 1304, 13163, 267, 513, 1715, 20958, 28057, 10837, 19028, 268, 2048, 10521, 2395, 2663, 267, 21534, 2367, 3357, 547, 960, 23242, 513, 4154, 21015, 31296, 19028, 268, 2048, 9515, 6743, 909, 14281, 543, 7691, 602, 713, 812, 729, 711, 513, 13743, 528, 540, 513, 21534, 812, 19028, 268, 2048, 12441, 513, 1780, 518, 2421, 4960, 547, 1294, 519, 8594, 267, 610, 513, 21534, 812, 286, 20371, 268, 2048, 3891, 6645, 8751, 267, 2048, 296, 1294, 1631, 594, 729, 2324, 585, 596, 899, 513, 21534, 812, 267, 543, 1247, 596, 941, 2476, 594, 4421, 707, 3959, 9957, 20371, 268, 2048, 763, 21534, 812, 22551, 539, 585, 11427, 269, 10162, 2292, 267, 855, 972, 729, 1100, 16253, 19028, 268, 2048, 26807, 569, 267, 899, 835, 540, 29778, 781, 21534, 2367, 267, 649, 723, 547, 1118, 1450, 1734, 585, 1142, 824, 781, 22293, 19028, 268, 2048, 3891, 5143, 1010, 4651, 602, 15535, 543, 808, 1563, 941, 9363, 609, 519, 1079, 21534, 2367, 693, 1010, 1753, 19028, 12749, 4388, 585, 22008, 1603, 5649, 811, 454, 1103, 713, 2376, 649, 2263, 875, 547, 23666, 12820, 609, 513, 5544, 6823, 22008, 269, 0, 9827, 1336, 538, 281, 9218, 267, 634, 28445, 267, 13751, 267, 15610, 563, 292, 22029, 281, 700, 267, 21729, 267, 6077, 267, 1847, 516, 267, 547, 1847, 267, 2992, 699, 267, 547, 18846, 1394, 454, 1415, 16846, 3210, 540, 519, 30057, 1062, 3361, 676, 14242, 540, 21729, 617, 559, 1807, 610, 21729, 27019, 560, 2774, 633, 13285, 563, 763, 1526, 9689, 610, 8920, 520, 566, 540, 513, 1973, 6077, 538, 3210, 547, 513, 17003, 267, 607, 538, 4742, 12779, 689, 19225, 269, 14271, 7716, 281, 15466, 16846, 454, 8450, 849, 281, 16846 ]

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

[ 10421, 568, 513, 4871, 7939, 267, 799, 5036, 513, 5943, 593, 875, 8492, 543, 7263, 7480, 5238, 1590, 6023, 741, 3854, 269, 634, 11008, 1436, 540, 7221, 543, 3854, 568, 3810, 13387, 865, 602, 621, 666, 581, 1981, 22051, 269, 2507, 2560, 9504, 454, 5115, 1388, 2443, 519, 2698, 11262, 543, 22666, 7482, 538, 513, 1870, 269, 3794, 27443, 540, 6355, 16301, 630, 272, 264, 15394, 4016, 547, 519, 2698, 540, 519, 9698, 6589, 538, 513, 6109, 269, 1280, 513, 4871, 267, 519, 9698, 6589, 616, 1455, 543, 9053, 6006, 267, 21045, 267, 543, 3768, 22866, 12434, 269, 1280, 2507, 2560, 11038, 543, 1870, 2474, 454, 22479, 1388, 2443, 14559, 16539, 538, 513, 6109, 269, 634, 1715, 3840, 8648, 11038, 3794, 27443, 2608, 2608, 2608, 3854, 1698, 587, 356, 328, 587, 356, 2145, 1496, 16659, 330, 19508, 696, 331, 316, 10902, 1496, 684, 12248, 762, 316, 476, 272, 269, 18598, 2724, 610, 3959, 1031, 547, 3132, 5763, 281, 3040, 18831, 1472, 519, 1158, 616, 17237, 585, 3854, 543, 2804, 2507, 2560, 11038, 543, 1870, 2474 ]

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

[ 667, 5744, 8836, 15689, 2008, 25238, 3428, 923, 1475, 293, 4288, 540, 3979, 543, 2518, 7544, 5389, 2008, 347, 14300, 1475, 17682, 549, 4211, 541, 11194, 7506, 267, 3864, 4207, 2553, 2008, 347, 10387, 10899, 15863, 1475, 306, 1706, 802, 7279, 543, 7071, 585, 2686, 4763, 2008, 1103, 3695, 519, 4720, 540, 2757, 3979, 7544, 883, 922, 4207, 1106, 267, 649, 5431, 875, 713, 1148, 1106, 5170, 547, 8853, 676, 8508, 5647, 1247, 9363, 12082, 538, 2245, 269, 634, 1985, 3296, 786, 5490, 2417, 883, 519, 3309, 13795, 540, 3979, 7544, 6163, 267, 21048, 4979, 741, 2189, 5322, 543, 7096, 2686, 10096, 269, 2913, 721, 7832, 593, 513, 3460, 998, 891, 9159, 7215, 540, 4000, 779, 3638, 6561, 563, 28893, 19933, 26505, 281, 589, 667, 5744, 24135, 12960, 540, 11873, 543, 12791, 454, 19465, 593, 519, 3638, 9371, 540, 2757, 3979, 7544, 267, 4207, 3979, 7544, 814, 7153, 607, 513, 7524, 543, 6422, 1106, 540, 7499, 4082, 269, 901, 3296, 7710, 519, 4720, 540, 22192, 25287, 2762, 1369, 713, 9135, 267, 10223, 922, 2686, 4644, 543, 3310, 593, 25249, 5001, 563, 3080, 9159, 1383, 602, 28837, 519, 4720, 540, 4207, 3979, 7544, 568, 519, 960, 540, 12021, 25287, 19212, 13019, 1090, 16679, 269, 769, 1010, 14262, 4062, 968, 311, 523, 657, 2223, 16679, 16900, 24025, 2609, 689, 1585, 3979, 19933, 26505, 609, 2413, 2553, 267, 2870, 513, 30811, 2773, 602, 2591, 6671, 18765, 540, 3350, 543, 3961, 269, 1635, 535, 6748, 6946, 3723, 1740, 6273, 676, 4639, 3979, 23929, 609, 5714, 1560, 5322, 24188, 540, 3162, 3979, 575, 3518, 2393, 15472, 267, 16679, 711, 1152, 17188, 4630, 720, 547, 4000, 779, 3309, 7544, 5389, 855, 849, 1102, 4926, 873, 609, 4195, 5380, 543, 6386, 563, 2414, 5490, 4514, 883, 1620, 519, 6384, 543, 2686, 4644, 540, 4207, 3979, 7544, 267, 649, 666, 4983, 2185, 1883, 3344, 912, 20812, 1962, 7190, 281, 12634, 3979, 7544, 5088, 806, 606, 27763, 2039, 540, 7506, 267, 16471, 2757, 5322, 609, 5375, 2553, 971, 607, 29478, 610, 2413, 7544, 269, 901, 12760, 5932, 1007, 4938, 629, 983, 625, 602, 2992, 519, 18371, 19178, 4810, 676, 1082, 20338, 2221, 563, 1805, 800, 8346, 281, 6145, 922, 2757, 13413, 267, 12634, 3979, 19933, 1419, 5713, 607, 513, 1797, 540, 9423, 267, 23187, 6386, 12082, 538, 2123, 1995, 267, 1514, 2152, 267, 610, 3140, 2621, 269, 3414, 3532, 17267, 543, 12572, 5322, 267, 25249, 5968, 4664, 543, 2093, 602, 13469, 7184, 609, 9458, 563, 16498, 640, 281, 10886, 1242, 676, 1164, 1648, 2157, 543, 24754, 6988, 267, 4207, 3979, 7544, 7569, 10373, 2168, 4222, 543, 26176, 2088, 689, 22407, 269, 898, 22842, 519, 1480, 1560, 779, 17545, 1247, 15386, 519, 25872, 1063, 2575, 543, 3350, 563, 1103, 2617, 566, 281, 1306, 5159, 3136, 547, 7903, 6302, 1369, 713, 1148, 1106, 267, 5647, 3788, 606, 7533, 2460, 540, 4207, 3979, 7544, 269, 667, 19188, 4603, 609, 23349, 588, 1645, 2553, 267, 6451, 19180, 2609, 899, 20327, 610, 2661, 2575, 12644, 547, 1711, 15138, 2833, 585, 741, 5304, 563, 3528, 3695, 891, 18125, 540, 4207, 3979, 7544, 267, 649, 2744, 513, 4514, 7071, 585, 922, 13710, 1379, 543, 2702, 547, 8115, 2686, 17337, 269, 769, 519, 7766, 3296, 267, 649, 786, 5490, 883, 1776, 25246, 540, 3979, 7544, 281, 9161, 2065, 2853, 602, 1921, 25249, 609, 18577, 14326, 998, 10723, 5322, 563, 305, 3770, 2065, 3979, 19933, 281, 4045, 532, 609, 1323, 6827, 1537, 9454, 1080, 998, 29042, 28073, 454, 305, 3770, 2065, 3979, 19933, 281, 4045, 532, 609, 1323, 6827, 1537, 9454, 1080, 998, 29042, 28073, 454, 28893, 7544, 6163, 616, 513, 3309, 13795, 540, 3350, 543, 2495, 267, 1142, 609, 922, 1378, 2189, 4162, 543, 2686, 4644, 269, 8490, 2390, 713, 3638, 6561, 267, 9161, 2065, 3979, 23929, 3180, 513, 2027, 1747, 538, 519, 12271, 540, 1082, 2950, 607, 789, 2709, 513, 3532, 4276, 547, 18577, 14326, 998, 10723, 5322, 563, 3080, 1383, 602, 14550, 519, 6384, 543, 2686, 4644, 540, 9161, 2065, 3979, 7544, 568, 519, 1520, 636, 340, 7544, 5340, 676, 519, 8575, 553, 2967, 1004, 540, 5101, 4000, 269, 901, 30060, 7544, 3322, 513, 1895, 540, 21847, 682, 12686, 1164, 883, 519, 2011, 1247, 4509, 606, 20005, 14302, 269, 634, 8515, 543, 11733, 540, 741, 5322, 21843, 22838, 267, 4222, 267, 543, 9322, 1369, 519, 2146, 269, 1635, 851, 1136, 538, 713, 5553, 6040, 2245, 267, 5171, 711, 1152, 8956, 741, 11937, 855, 849, 585, 613, 7554, 1369, 741, 1459, 6377, 2146, 563, 763, 2686, 2956, 540, 9161, 2065, 3979, 7544, 11498, 3564, 1367, 12644, 282, 621, 13315, 6626, 2609, 602, 3337, 1514, 22122, 543, 3961, 1369, 2950, 269, 3371, 616, 930, 1883, 3344, 912, 268, 20154, 17583, 281, 681, 3770, 2065, 3979, 23929, 1419, 4196, 607, 513, 1797, 547, 1921, 609, 18577, 14326, 610, 24587, 269, 3414, 24754, 14941, 2719, 267, 669, 13589, 267, 543, 6946, 25287, 2762, 267, 25249, 4283, 959, 766, 6438, 2829, 1141, 789, 666, 5968, 609, 891, 5289, 9988, 563, 268, 23046, 13756, 281, 3509, 3979, 4529, 3494, 602, 1978, 23929, 4865, 7067, 7060, 269, 1452, 12738, 949, 581, 1031, 547, 2232, 2168, 22074, 610, 11177, 3929, 1134, 5630, 1369, 2043, 610, 1256, 3003, 2950, 563, 268, 7991, 9919, 30503, 1674, 281, 681, 3770, 2065, 23929, 3142, 1004, 1927, 538, 7772, 748, 16873, 971, 607, 7556, 15976, 267, 12311, 26204, 267, 610, 4947, 6361, 21943, 18428, 269, 1358, 1683, 3255, 585, 18497, 16345, 543, 3838, 2833, 602, 7794, 1514, 13218, 563, 268, 8836, 27264, 281, 1452, 2757, 23929, 957, 607, 2713, 12589, 9323, 540, 2686, 6561, 267, 4180, 602, 9821, 543, 2418, 616, 5293, 1524, 689, 835, 5108, 547, 1776, 563, 2414, 2417, 9414, 713, 1448, 827, 2686, 11091, 267, 2015, 519, 1739, 3349, 15386, 1114, 9161, 2065, 3979, 23929, 7258, 741, 9757, 2477, 540, 5169, 912, 2026, 649, 5490, 883, 519, 1158, 540, 3979, 7544, 267, 621, 3587, 10423, 602, 1142, 3350, 11438, 513, 7096, 4644, 12082, 538, 1686, 543, 2245, 563, 28893, 19933, 8779, 6979, 281, 966, 2320, 656, 5900, 790, 31514, 519, 10439, 15190, 12386, 454, 9558, 819, 532, 689, 519, 3105, 3296, 267, 1141, 649, 8268, 519, 9161, 2065, 3344, 540, 3979, 7544, 267, 649, 1631, 5490, 883, 519, 6626, 2686, 4644, 602, 7544, 543, 2575, 3180, 538, 3979, 2950, 269, 1677, 8774, 1769, 593, 713, 1888, 267, 1577, 721, 2015, 513, 19858, 9183, 5473, 513, 1762, 15854, 1356, 3957, 2549, 4673, 945, 29084, 538, 513, 1507, 8498, 538, 4639, 4000, 563, 288, 3405, 320, 779, 2648, 585, 7544, 568, 711, 8806, 606, 4082, 540, 2123, 18399, 282, 621, 5713, 607, 513, 24891, 547, 1921, 609, 1200, 2146, 779, 3638, 6561, 543, 5389, 269, 901, 4276, 666, 581, 14754, 2066, 1585, 7516, 912, 15430, 3569, 540, 8836, 14740, 912, 268, 3979, 7544, 3029, 4196, 607, 8043, 585, 8429, 1524, 2984, 267, 14868, 267, 543, 12583, 689, 835, 5108, 547, 1776, 563, 268, 3414, 5322, 25287, 8319, 1117, 547, 1808, 18819, 543, 23964, 267, 25249, 18220, 741, 11937, 685, 2833, 267, 4180, 602, 4105, 2686, 1702, 3788, 9800, 563, 268, 18877, 2097, 1927, 1282, 30018, 14026, 610, 1271, 1272, 2621, 971, 607, 12311, 26204, 610, 1187, 5644, 563, 268, 667, 3496, 15217, 18791, 1514, 7554, 1851, 2043, 267, 5807, 513, 2631, 540, 9322, 543, 3838, 3961, 1369, 519, 1895, 563, 268, 12465, 3979, 4978, 1419, 6451, 2609, 540, 17035, 883, 3232, 1272, 563, 268, 1635, 851, 1136, 538, 10723, 23929, 10483, 676, 24754, 20054, 543, 669, 1218, 267, 9439, 1921, 609, 18577, 14326, 543, 3343, 10143, 5583, 563, 23895, 30503, 1674, 540, 5020, 912, 347, 7659, 16474, 757, 1475, 10387, 19600, 5345, 12097, 2008, 18871, 4040, 6361, 21943, 1475, 2750, 322, 924, 618, 1299, 16882, 2008, 347, 19604, 4034, 1475, 294, 7806, 3363, 1299, 11606, 2008, 347, 2304, 6827, 1537, 12738, 1475, 3725, 557, 5270, 1299, 5289, 31135, 2008, 28893, 7544, 25186, 6071, 2168, 3350, 282, 621, 4564, 513, 7524, 13795, 954, 342, 8576, 609, 1686, 267, 17035, 267, 543, 18497, 11812, 269, 1306, 649, 3136, 938, 3408, 883, 519, 7706, 540, 3979, 2686, 7215, 267, 649, 1631, 2490, 938, 3007, 547, 3979, 19933, 14080, 11040, 281, 18270, 908, 8836, 11595, 998, 681, 15219, 6193, 20283, 902, 563, 28893, 19933, 14080, 11040, 281, 18270, 908, 8836, 11595, 998, 681, 15219, 6193, 20283, 902, 454, 2026, 649, 5490, 4514, 883, 519, 1158, 540, 3979, 7544, 267, 621, 568, 1271, 547, 1174, 602, 922, 7524, 24853, 543, 3308, 4715, 12386, 616, 711, 8806, 585, 12716, 5301, 269, 1358, 1404, 513, 1713, 1909, 538, 15386, 519, 3638, 2686, 6561, 543, 5389, 2404, 609, 713, 1148, 1106, 269, 3767, 267, 1577, 721, 2263, 1776, 2460, 540, 3979, 7544, 281, 519, 11812, 540, 2686, 3961, 998, 24754, 19771, 693, 1585, 15976, 563, 28893, 7544, 15976, 4196, 607, 3532, 5867, 585, 2950, 547, 2097, 1927, 543, 8661, 741, 3838, 2686, 6561, 269, 2290, 971, 13037, 568, 519, 667, 7875, 541, 16635, 4371, 12422, 538, 13280, 269, 901, 2680, 6770, 1004, 689, 1114, 11031, 543, 4525, 2066, 13280, 267, 10223, 741, 3309, 7544, 6163, 543, 12738, 269, 634, 667, 7875, 541, 16635, 20502, 2757, 30645, 30933, 24224, 609, 6946, 29950, 1740, 267, 17207, 267, 543, 10477, 17234, 1107, 513, 3020, 4159, 540, 7499, 5578, 543, 11348, 563, 2414, 5963, 9787, 519, 4644, 540, 891, 15976, 267, 2015, 519, 1739, 3929, 6114, 859, 12097, 676, 873, 912, 268, 589, 2631, 540, 10362, 281, 19893, 1995, 513, 2620, 4276, 609, 741, 22693, 607, 789, 7198, 5481, 1354, 873, 2502, 538, 23929, 5293, 1524, 936, 5553, 563, 268, 8836, 11091, 281, 1452, 15976, 4196, 607, 2713, 21517, 267, 8497, 2757, 5322, 267, 18819, 267, 543, 9821, 602, 1522, 6382, 28201, 2476, 538, 606, 5051, 2413, 1242, 1158, 563, 268, 30767, 9624, 4763, 281, 634, 4947, 1927, 540, 2043, 689, 1585, 6803, 2516, 11942, 1620, 267, 2463, 267, 543, 7071, 585, 1142, 824, 779, 2189, 7418, 547, 3979, 2528, 563, 268, 29233, 538, 3961, 281, 3414, 3303, 1243, 12644, 10483, 676, 2661, 2575, 5129, 593, 2757, 7405, 899, 27120, 543, 1535, 2643, 2684, 2158, 267, 5171, 1491, 11348, 538, 741, 3982, 2686, 9163, 563, 26180, 652, 2526, 8745, 1475, 19613, 1475, 7659, 17972, 2008, 25238, 7875, 541, 16635, 1475, 301, 12342, 1475, 25565, 30645, 30933, 24224, 609, 6946, 29950, 1740, 282, 667, 5744, 7544, 6163, 8204, 1114, 11031, 2008, 347, 302, 340, 573, 1695, 966, 797, 5622, 16635, 1475, 13051, 514, 1475, 305, 3770, 23929, 26621, 18577, 14326, 282, 7822, 995, 24853, 29544, 5289, 4978, 2008, 18871, 1901, 16011, 4139, 918, 924, 16635, 1475, 21026, 4000, 1475, 288, 518, 658, 7544, 12644, 609, 737, 2572, 282, 9919, 30503, 1674, 540, 5191, 543, 2686, 4763, 2008, 26180, 652, 2526, 5080, 682, 20997, 1475, 300, 8932, 1475, 25565, 23929, 10483, 676, 2661, 2575, 282, 8058, 13826, 540, 3309, 5689, 1014, 4529, 2008, 1103, 9759, 267, 3979, 7544, 15976, 1683, 513, 3760, 585, 2950, 547, 8661, 741, 2686, 6561, 998, 24754, 19771, 269, 15332, 519, 3308, 4715, 12386, 267, 891, 2621, 18427, 4664, 540, 10362, 267, 11348, 267, 9322, 267, 543, 2686, 11091, 269, 3767, 267, 1577, 721, 2263, 875, 3979, 7544, 8309, 547, 2679, 2146, 543, 1514, 22122, 998, 3838, 5322, 563, 13010, 267, 1620, 519, 1909, 602, 3979, 7544, 4249, 538, 5807, 1514, 7554, 568, 2629, 950, 6313, 922, 1764, 593, 2146, 6384, 563, 28893, 19933, 543, 4317, 3213, 1127, 542, 281, 8490, 7991, 998, 32655, 28073, 454, 9558, 819, 532, 689, 519, 3105, 3296, 593, 3979, 7544, 15976, 267, 649, 1631, 2263, 519, 1909, 540, 3979, 7544, 538, 5807, 1514, 22122, 543, 2679, 513, 2631, 540, 2146, 269, 1677, 9414, 713, 6422, 267, 1577, 721, 2015, 513, 19858, 2013, 1353, 5473, 513, 1507, 8498, 538, 4639, 4000, 563, 1103, 713, 8498, 267, 2818, 540, 519, 2146, 5531, 5781, 547, 7119, 538, 2757, 23929, 602, 723, 1044, 5293, 1524, 998, 5481, 269, 1452, 23929, 4196, 607, 811, 982, 6071, 3029, 540, 9913, 282, 789, 616, 7184, 12082, 538, 2686, 5389, 543, 3180, 1713, 2495, 585, 1346, 3238, 269, 1635, 2502, 538, 891, 3838, 5322, 1927, 267, 2043, 1995, 513, 2631, 540, 10362, 543, 9322, 602, 8309, 547, 1514, 22122, 1369, 519, 2146, 563, 763, 4644, 540, 3979, 7544, 538, 5009, 1514, 22122, 666, 581, 2417, 6956, 998, 1896, 1883, 3344, 912, 268, 681, 3770, 2065, 15689, 281, 3509, 3979, 23929, 2270, 9161, 2065, 2609, 602, 1921, 2043, 609, 741, 18577, 6561, 543, 5289, 4978, 269, 3414, 24754 ]

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

[ 676, 741, 11708, 269, 769, 713, 3296, 267, 782, 3252, 616, 1114, 4192, 538, 930, 8884, 780, 293, 17313, 2972, 1448, 3772, 4238, 267, 602, 568, 267, 952, 535, 543, 575, 616, 3252, 267, 741, 2040, 267, 3017, 543, 1587, 616, 3252, 3989, 676, 692, 763, 11890, 540, 519, 4611, 3252, 616, 519, 10167, 540, 519, 11890, 540, 535, 543, 575, 269, 634, 23479, 540, 1079, 3252, 568, 3989, 13974, 676, 692, 8117, 519, 6389, 540, 519, 4611, 1599, 568, 5833, 676, 9427, 519, 21325, 540, 575, 689, 519, 10167, 540, 519, 11890, 540, 535, 543, 575, 780, 763, 9971, 3252, 616, 3989, 676, 21335, 267, 543, 741, 6389, 568, 519, 2898, 1305, 540, 1483, 2338, 269, 1358, 1331, 3586, 3252, 267, 5276, 3252, 543, 13392, 3252, 269, 21929, 3252, 616, 9889, 1801, 540, 1079, 9971, 3252, 267, 543, 741, 6389, 568, 519, 1483, 2338, 609, 513, 13113, 1297, 540, 873, 6569, 547, 2057, 6498, 676, 4642, 269, 634, 14724, 7787, 1599, 568, 519, 1599, 4171, 3113, 568, 606, 5409, 19096, 267, 543, 4171, 6389, 568, 519, 2898, 1483, 1899, 4849, 585, 476, 271, 780, 763, 12045, 540, 513, 1483, 1114, 4192, 1599, 568, 513, 1483, 1599, 269, 1323, 1884, 3187, 29719, 540, 513, 6024, 1483, 1599, 568, 513, 1483, 1599, 602, 568, 1114, 4192, 538, 1022, 1930, 8884, 538, 799, 519, 3312, 1599, 568, 6024, 269, 1280, 1383, 267, 519, 1599, 568, 6024, 267, 543, 1256, 1114, 4192, 267, 593, 519, 2318, 1483, 2338, 269, 4935, 835, 1884, 3187, 29719, 267, 799, 3217, 519, 1871, 4642, 585, 1535, 815, 476, 272, 267, 568, 513, 1114, 4192, 1599, 1572, 519, 2067, 30233, 780, 288, 1483, 1599, 535, 568, 27865, 4577, 538, 606, 8884, 952, 519, 1129, 540, 1281, 711, 4096, 540, 519, 3903, 540, 1535, 543, 586, 538, 519, 8884, 269, 1403, 519, 1599, 568, 1114, 4192, 538, 519, 8884, 267, 621, 568, 27865, 4577, 952, 519, 1129, 540, 519, 12045, 568, 3586, 538, 519, 8884, 269, 1403, 513, 1483, 1599, 535, 568, 27865, 4577, 538, 606, 8884, 594, 267, 621, 814, 606, 11201, 1599, 267, 799, 568, 513, 1483, 1599, 609, 6389, 535, 263, 296, 264, 543, 3239, 594, 269, 901, 568, 875, 11201, 25066, 3252, 616, 3989, 538, 2474, 540, 25066, 3252, 267, 1141, 519, 25066, 3252, 616, 27865, 4577, 269, 6271, 1383, 281, 519, 2067, 30233, 568, 27865, 4577, 593, 519, 2318, 1483, 2338, 267, 543, 922, 3239, 568, 519, 2898, 1483, 1899, 282, 4061, 621, 814, 606, 11201, 1599, 602, 568, 513, 1979, 20287, 1063, 519, 1483, 2338, 543, 519, 2318, 1483, 2338, 269, 901, 11201, 568, 519, 12825, 1599, 780, 6624, 824, 1483, 3252, 616, 3989, 2901, 676, 519, 17697, 1599, 11532, 630, 1492, 11201, 1599, 568, 513, 1880, 3236, 264, 610, 607, 3435, 540, 11186, 4834, 269, 1280, 1383, 519, 20534, 543, 519, 25482, 3252, 616, 519, 3435, 540, 519, 5276, 11186, 3830, 692, 7945, 602, 692, 1012, 9577, 2230, 692, 1103, 6310, 2079, 267, 543, 811, 4481, 538, 6198, 2079, 267, 513, 1599, 2230, 568, 513, 1305, 540, 22185, 29705, 4240, 610, 6152, 29705, 4240, 3252, 267, 799, 2671, 513, 1808, 3959, 543, 1106, 513, 30490, 6152, 2230, 269, 1280, 1383, 267, 519, 1483, 5347, 3252, 609, 513, 11741, 1489, 630, 7474, 568, 267, 789, 616, 4642, 3544, 930, 11741, 1305, 264, 1106, 513, 1599, 2230, 602, 568, 693, 519, 4493, 540, 519, 3069, 540, 14778, 780, 31262, 5624, 1404, 513, 4909, 1909, 538, 4359, 6310, 2079, 267, 676, 3850, 519, 946, 540, 741, 15821, 543, 30490, 3601, 585, 4974, 3601, 540, 3252, 269, 1280, 1383, 267, 782, 5376, 916, 540, 6228, 543, 22464, 540, 3435, 540, 8723, 610, 9864, 11186, 4834, 1267, 540, 519, 1353, 540, 1599, 5624, 780, 1012, 4937, 3074, 692, 2162, 7849, 10137, 692, 2005, 568, 2864, 7928, 602, 513, 1599, 609, 6389, 2473, 949, 581, 6923, 6905, 547, 513, 1599, 4171, 6389, 568, 513, 1305, 2098, 602, 568, 3710, 689, 2473, 780, 2690, 1383, 267, 585, 1022, 1305, 2473, 267, 922, 1379, 1305, 623, 11583, 264, 568, 519, 1305, 540, 782, 29162, 540, 2473, 269, 7102, 1599, 949, 581, 6905, 547, 513, 1599, 593, 1379, 5036, 676, 692, 3602, 535, 22829, 264, 568, 519, 3239, 676, 535, 540, 519, 15410, 590, 540, 2473, 780, 6097, 547, 519, 4214, 267, 513, 1599, 535, 7851, 1142, 3693, 689, 922, 6389, 2473, 547, 930, 3693, 540, 922, 13798, 558, 664, 962, 269, 898, 568, 1419, 10375, 547, 8831, 713, 2495, 547, 4019, 547, 17062, 29162, 540, 519, 6389, 267, 799, 616, 267, 607, 5612, 666, 581, 13761, 267, 25528, 547, 29162, 540, 519, 13798, 558, 664, 267, 3976, 6236, 513, 1599, 11837, 922, 6389, 267, 519, 7060, 564, 623, 11583, 264, 540, 535, 1412, 338, 6389, 2473, 267, 547, 922, 13798, 558, 664, 267, 513, 15410, 540, 519, 7060, 564, 623, 263, 312, 264, 540, 535, 1412, 338, 13798, 558, 664, 962, 780, 15152, 13581, 6057, 540, 10035, 713, 1599, 593, 29162, 568, 1419, 20922, 849, 676, 535, 780, 5194, 1383, 568, 519, 1739, 269, 1403, 519, 1599, 568, 513, 8258, 4630, 31532, 267, 621, 949, 581, 6905, 547, 513, 1599, 593, 9971, 14034, 692, 6518, 568, 849, 513, 8258, 4630, 31532, 780, 2162, 11638, 29705, 4240, 3252, 692, 15703, 2409, 585, 28408, 3252, 540, 1483, 610, 1950, 4632, 1376, 689, 513, 2199, 4214, 540, 519, 30775, 542, 693, 513, 1448, 610, 593, 513, 29117, 540, 513, 1448, 267, 543, 1287, 8831, 676, 15364, 519, 1599, 547, 513, 1454, 3677, 6389, 269, 32279, 267, 585, 513, 4358, 1448, 972, 616, 1896, 2009, 4358, 2418, 585, 519, 1599, 780, 2690, 1383, 267, 538, 10747, 519, 4009, 3597, 607, 519, 11201, 1599, 540, 519, 4009, 1599, 267, 585, 1022, 2318, 1483, 1297, 972, 616, 1079, 5079, 585, 519, 1871, 540, 519, 4009, 3597, 267, 835, 540, 799, 568, 2318, 543, 20922, 543, 1776, 799, 568, 2942, 543, 20922, 1452, 5079, 5581, 1079, 6024, 3252, 267, 1312, 2348, 519, 1875, 17463, 1483, 2338, 607, 513, 6389, 267, 543, 2348, 2901, 519, 1875, 17463, 610, 519, 1875, 27168, 1483, 2338, 607, 2592, 269, 1879, 3168, 693, 519, 11708, 540, 891, 3252, 267, 835, 666, 1294, 602, 267, 1927, 267, 789, 1106, 513, 2582, 5347, 7455, 269, 898, 568, 4061, 1419, 3730, 547, 2015, 891, 1079, 4009, 3597, 3252, 607, 513, 2582, 1599, 602, 814, 1079, 2418, 585, 2318, 1535, 267, 835, 1871, 585, 476, 271, 543, 1100, 1871, 585, 2942, 1535, 780, 1103, 519, 18631, 1383, 267, 835, 3903, 267, 519, 2318, 4009, 3597, 267, 568, 811, 2067, 982, 519, 824, 269, 901, 568, 711, 519, 2013, 538, 2489, 269, 1280, 1383, 267, 1577, 2015, 519, 17697, 1599, 602, 7851, 586, 547, 513, 3597, 1535, 540, 630, 5408, 519, 4137, 593, 519, 1318, 1040, 1280, 586, 815, 476, 271, 835, 949, 3442, 2901, 585, 1535, 269, 1635, 519, 17697, 1599, 11532, 267, 1142, 3903, 11225, 513, 1599, 282, 585, 519, 1101, 835, 267, 519, 630, 10946, 2711, 264, 6389, 568, 519, 8884, 1496, 1700, 273, 267, 476, 273, 316, 543, 519, 3239, 568, 1496, 1700, 272, 267, 476, 272, 22049, 585, 519, 2034, 835, 267, 519, 6389, 568, 1496, 1700, 273, 267, 3980, 508, 264, 543, 519, 3239, 568, 1496, 272, 267, 3980, 508, 5148, 585, 519, 2063, 835, 267, 519, 6389, 568, 630, 1700, 31236, 267, 476, 273, 316, 543, 519, 3239, 568, 630, 1700, 31236, 267, 1107, 272, 4940, 1306, 519, 1614, 11708, 1927, 1106, 513, 5347, 7455, 267, 543, 972, 568, 1100, 2601, 585, 4782, 2590, 835, 3903, 267, 891, 1614, 3252, 616, 1419, 2808, 607, 513, 2582, 3818, 29705, 4240, 1599, 540, 586, 602, 814, 1614, 2418, 585, 1107, 273, 2999, 586, 2999, 476, 273, 267, 543, 1152, 835, 1871, 585, 586, 18016, 1107, 273, 543, 586, 21759, 1107, 273, 780, 8196, 6888, 540, 519, 1523, 540, 3818, 29705, 4240, 3252, 568, 20501, 950, 6236, 1950, 3252, 267, 3335, 25107, 3252, 269, 634, 6389, 547, 799, 513, 1950, 1599, 568, 25107, 949, 581, 6905, 676, 25107, 27402, 5161, 3622, 540, 3592, 519, 2898, 1950, 7077, 269, 1717, 267, 621, 568, 7928, 602, 267, 950, 14178, 519, 6389, 998, 1079, 1114, 10092, 267, 835, 4991, 1114, 2418, 269, 1280, 1383, 267, 950, 14178, 519, 6389, 324, 540, 519, 4009, 3597, 1599, 267, 2059, 513, 2619, 540, 1950, 2338, 609, 2318, 16494, 2694, 267, 835, 4991, 1775, 585, 519, 4009, 3597, 540, 1107, 272, 267, 1247, 267, 950, 14178, 998, 1950, 2338, 609, 2942, 16494, 2694, 267, 835, 4991, 1775, 269, 1703, 616, 3622, 1079, 2081, 585, 6061, 519, 1966, 269, 2290, 949, 5581, 513, 1599, 602, 568, 711, 6024, 2059, 930, 7455, 267, 1572, 7936, 2759, 269, 6270, 513, 1599, 568, 1572, 519, 9030, 1871, 540, 519, 1599, 269, 634, 824, 1259, 568, 547, 2015, 602, 835, 814, 513, 3818, 29705, 4240, 1599, 267, 799, 568, 25107, 10876, 4849, 585, 9678, 13737, 885, 267, 855, 4171, 1871, 949, 834, 329, 2794, 257, 952, 835, 5205, 513, 6806, 8520, 1472, 513, 13737, 640, 269, 901, 7914, 568, 1572, 519, 1395, 617, 668, 344, 780, 1012, 769, 13210, 540, 6128, 543, 1305, 3069, 692, 763, 4214, 540, 513, 1599, 602, 568, 2016, 538, 713, 2376, 3340, 519, 1523, 540, 1305, 267, 2094, 519, 6389, 543, 519, 13798, 558, 664, 540, 513, 1599, 1590, 581, 513, 1305, 269, 901, 568, 711, 513, 1966, 538, 8912, 6128, 267, 607, 621, 568, 3622, 711, 2352, 547, 2015, 1152, 3252, 4171, 6389, 543, 13798, 558, 664, 616, 5036, 267, 799, 616, 1134, 3989, 267, 1256, 952, 519, 6389, 568, 711, 12799, 3989, 269, 1717, 267, 621, 568, 3006, 3730, 547, 2015, 811, 2489, 3252, 780, 2690, 1383, 519, 2582, 2023, 1305, 949, 581, 2808, 607, 513, 1599, 4706, 6389, 1131, 1331, 782, 5036, 267, 543, 4061, 1131, 711, 581, 513, 1305, 269, 769, 8912, 6128, 267, 835, 30417, 713, 2186, 540, 1966, 676, 28408, 513, 6389, 267, 799, 1797, 602, 835, 814, 1082, 2582, 2023, 3252, 269, 1717, 267, 950, 9591, 13210, 540, 6128, 267, 835, 949, 723, 547, 946, 3252, 4171, 6389, 267, 13798, 558, 664, 610, 1312, 616, 711, 9138, 267, 543, 930, 4589, 267, 1419, 2845, 5974, 267, 2285, 5730, 4214, 585, 891, 4617, 569, 9138, 3252, 16804, 277, 6540, 4322, 20902, 3252, 949, 581, 2565, 538, 519, 1646, 540, 513, 6101, 1436, 540, 13210, 540, 6128, 269, 1280, 1383, 267, 519, 966, 517, 3026, 30977, 1700, 289, 1716, 904, 1700, 294, 7238, 23437, 1305, 3069, 267, 568, 606, 10137, 540, 519, 1305, 3069, 538, 799, 519, 4015, 540, 782, 5036, 568, 513, 1362, 269, 901, 3069, 2882, 519, 10682, 24936, 558, 267, 799, 949, 581, 14648, 607, 834, 604, 2473, 568, 513, 1305, 267, 543, 674, 568, 513, 1599, 267, 1287, 674, 314, 311, 316, 568, 513, 1305, 6231, 1012, 11872, 692, 272, 269, 634, 1913, 4786, 267, 11837, 267, 7004, 267, 19359, 267, 543, 11346, 616, 1419, 1031, 28395, 3585, 269, 16199, 21573, 476, 3192, 271, 267, 533, 269, 1109, 1789, 563, 273, 269, 5839, 299, 2033, 267, 590, 16184, 619, 282, 21960, 16223, 4752, 267, 12275, 21884, 630, 3422, 278, 1040, 10789, 630, 5575, 1196, 12175, 1715, 3840, 281, 5839, 17524, 534, 269, 6032, 269, 1109, 272, 1700, 1724, 563, 274, 269, 1975, 643, 752, 476, 1220, 279, 267, 533, 269, 1109, 4375, 563, 275, 269, 16803, 267, 589, 269, 717, 269, 10606, 267, 5036, 267, 543, 24936, 1682, 281, 519, 17102, 540, 6128, 269, 11062, 2160, 4964, 269, 533, 269, 1109, 10695, 269, 9768, 1109, 271, 268, 276, 2641, 268, 25090, 6021, 268, 276, 563, 276, 269, 10829, 885, 543, 19590, 910, 3487, 476, 273, 281, 19556, 4191, 543, 6698, 547, 581, 1031, 538, 519, 2067, 9443, 543, 2029, 267, 2985, 476, 1428, 269, 18869, 476, 8517, 876, 268, 273, 630, 3041, 302, 270, 296, 4488, 476, 1220, 280, 268, 1321, 268, 4905, 994, 277, 269, 717, 7238, 23437, 476, 3707, 271, 267, 533, 269, 1109, 1626, 282, 808, 3663, 476, 1220, 274, 267, 533, 269, 1109, 1556, 282, 595, 7342, 5069, 476, 1001, 277, 267, 533, 269, 1109, 6872, 692, 1012, 22108, 692, 1892, 16653, 267, 20999, 630, 2735, 271, 1040, 20145, 609, 30551, 16387, 269, 25067, 269, 9768, 1109, 7818, 268, 271, 268, 5325, 272, 268, 271, 3953, 4366, 268, 280, 563, 1892, 19258, 548, 267, 7917, 717, 269, 630, 3192, 277, 1040, 634, 15689, 540, 7464 ]

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

[ 5963, 1271, 3079, 540, 3478, 5645, 2476, 543, 4742, 26531, 782, 519, 942, 269, 769, 824, 1913, 267, 1250, 1378, 2208, 607, 513, 1268, 5280, 538, 938, 8250, 781, 7067, 3460, 454, 21615, 1046, 532, 593, 513, 3460, 547, 948, 938, 8250, 3366, 547, 803, 519, 9885, 540, 23398, 6925, 543, 538, 476, 1001, 276, 649, 3323, 1200, 593, 713, 7154, 540, 2126, 540, 4466, 543, 5466, 519, 3597, 2014, 540, 1200, 26253, 269, 1306, 649, 6462, 1200, 1560, 609, 519, 5567, 602, 621, 2877, 543, 6569, 519, 9465, 7555, 538, 922, 1259, 267, 1200, 1560, 3323, 547, 12115, 689, 1369, 269, 3683, 513, 1974, 540, 476, 273, 1296, 1200, 26253, 7930, 20374, 543, 538, 5239, 476, 1001, 278, 1352, 4682, 1055, 782, 1200, 6527, 269, 2701, 568, 513, 2713, 1383, 540, 875, 649, 666, 5963, 12115, 6000, 952, 649, 917, 875, 543, 3494, 538, 6000, 563, 3719, 602, 568, 711, 782, 269, 3776, 8250, 781, 1272, 568, 849, 606, 1383, 540, 875, 835, 1268, 781, 1995, 666, 5905, 543, 1764, 865, 1082, 824, 2729, 563, 2005, 568, 1317, 540, 713, 1995, 602, 594, 993, 2111, 547, 454, 18704, 1250, 13344, 609, 596, 607, 513, 2657, 3213, 778, 454, 18184, 676, 596, 607, 596, 1265, 707, 1259, 1394, 2509, 1072, 543, 7067, 454, 11592, 856, 547, 596, 707, 9342, 799, 666, 5351, 596, 538, 707, 7067, 3460, 855, 799, 596, 949, 581, 8572, 547, 1294, 693, 713, 942, 454, 17004, 8296, 2509, 596, 952, 596, 2887, 1055, 519, 6512, 342, 6782, 865, 602, 596, 1451, 547, 31799, 3054, 543, 1205, 1394, 593, 3950, 607, 4166, 607, 596, 666, 454, 308, 874, 1245, 707, 3661, 538, 707, 1378, 1379, 547, 12115, 607, 596, 6560, 998, 707, 4158, 652, 2395, 282, 547, 1577, 596, 917, 602, 596, 616, 711, 9338, 24535, 454, 4517, 865, 689, 513, 1747, 540, 21817, 267, 649, 666, 7444, 855, 20406, 1847, 547, 513, 1747, 540, 4222, 543, 3020, 7067, 23099, 307, 8104, 24518, 2207, 454, 2026, 2576, 1185, 1767, 267, 834, 15919, 4222, 2501, 538, 6616, 596, 616, 711, 4805, 4840, 296, 6999, 596, 543, 707, 1920, 31178, 543, 670, 4338, 303, 17322, 538, 476, 1001, 280, 256, 2336, 263, 1607, 568, 519, 1101, 540, 513, 1614, 12268, 3126, 540, 9708, 593, 1582, 13282, 269, 2755, 594, 1185, 8385, 5497, 621, 547, 581, 1152, 835, 2022, 267, 594, 1483, 2213, 1247, 1603, 713, 602, 972, 729, 513, 2603, 594, 4941, 547, 2671, 543, 594, 1705, 711, 1616, 547, 2759, 1022, 15174, 269, 594, 786, 581, 13629, 519, 6967, 9708, 538, 519, 1985, 1906, 4374, 994, 2691, 729, 519, 2063, 942, 596, 5433, 602, 707, 1072, 729, 4625, 538, 707, 3946, 888, 6546, 596, 1185, 519, 1379, 547, 6430, 519, 6364, 540, 707, 1072, 3853, 888, 2710, 596, 1419, 1745, 1379, 1652, 538, 4395, 540, 2564, 8128, 950, 596, 2743, 873, 585, 707, 1072, 2152, 888, 1607, 568, 711, 16876, 1152, 547, 4387, 11564, 1498, 563, 1607, 666, 4755, 547, 1022, 540, 721, 9170, 543, 609, 4896, 602, 649, 8359, 547, 2285, 2476, 938, 1379, 547, 269, 1284, 1419, 917, 5944, 610, 26968, 5944, 2285, 2476, 938, 1379, 936, 938, 1378, 2729, 547, 8128, 3544, 540, 721, 543, 547, 519, 6381, 538, 938, 2729, 563, 2691, 649, 5873, 519, 2262, 5295, 649, 2356, 1589, 540, 621, 607, 1945, 14084, 3544, 540, 721, 563, 288, 3532, 1286, 563, 288, 3532, 1870, 2006, 610, 6205, 563, 288, 3532, 4633, 563, 288, 3532, 5179, 321, 833, 563, 288, 3532, 4387, 602, 3025, 1592, 839, 547, 563, 1607, 666, 849, 581, 538, 519, 1106, 540, 3206, 602, 8894, 2252, 1152, 594, 1185, 602, 5326, 2777, 267, 594, 1131, 581, 2111, 547, 7017, 1524, 543, 581, 6126, 454, 2252, 1152, 594, 1223, 1265, 2576, 945, 6368, 17358, 803, 543, 14560, 803, 267, 3388, 1131, 581, 5386, 454, 2252, 1152, 594, 1223, 723, 2614, 2724, 267, 594, 1131, 1491, 602, 1279, 16314, 543, 6368, 581, 6126, 454, 9989, 713, 3280, 5432, 547, 596, 888, 5415, 1419, 982, 711, 649, 3111, 547, 29311, 649, 723, 2016, 938, 1379, 543, 538, 2490, 938, 8788, 547, 1004, 543, 6381, 799, 9114, 3544, 540, 721, 269, 901, 6585, 3020, 585, 782, 3344, 540, 938, 2729, 1519, 938, 1072, 2152, 454, 21156, 540, 7432, 2620, 883, 6000, 267, 3972, 532, 938, 26756, 543, 6947, 547, 1018, 938, 1560, 568, 3843, 547, 2995, 721, 267, 649, 2356, 11716, 610, 6382, 3053, 622, 938, 1259, 856, 540, 519, 2589, 269, 2405, 1709, 267, 540, 1576, 267, 814, 922, 1318, 540, 1747, 543, 568, 1272, 9494, 950, 1031, 5265, 543, 585, 519, 1318, 4128, 269, 1717, 267, 950, 4915, 568, 1031, 607, 513, 12990, 585, 1582, 1416, 543, 3056, 513, 1134, 7059, 1272, 267, 621, 666, 1439, 909, 2870, 513, 2603, 540, 2042, 538, 519, 1279, 2196, 563, 257, 20236, 3249, 568, 875, 596, 1491, 707, 1379, 1394, 4840, 5978, 1560, 568, 513, 5963, 5863, 543, 14393, 31397, 3364, 269, 18320, 1419, 649, 3111, 547, 2285, 621, 519, 1489, 602, 621, 2115, 593, 513, 3232, 4493, 547, 1491, 1416, 540, 721, 543, 1832, 721, 2635, 269, 1284, 7340, 602, 938, 4703, 723, 606, 17916, 2702, 547, 12115, 3177, 782, 519, 1318, 5820, 616, 1459, 563, 21982, 519, 942, 547, 2731, 1205, 547, 917, 3054, 543, 945, 596, 723, 1831, 543, 538, 2490, 1018, 707, 1560, 2115, 693, 713, 1448, 538, 942, 267, 568, 835, 540, 519, 1101, 4025, 547, 1376, 269, 901, 1281, 711, 4755, 538, 835, 979, 543, 9444, 1281, 621, 4755, 16074, 267, 865, 649, 991, 547, 22393, 1491, 856, 519, 942, 585, 1582, 1416, 689, 938, 11112, 16131, 593, 513, 3232, 4493, 563, 3719, 1354, 649, 666, 2253, 3001, 2509, 4657, 519, 1259, 649, 1521, 6000, 267, 649, 949, 991, 547, 21028, 519, 2081, 538, 799, 649, 723, 1044, 4758, 2476, 938, 2123, 1379, 563, 2171, 991, 547, 2483, 289, 4594, 532, 1866, 585, 938, 1072, 2783, 543, 1491, 5539, 585, 519, 5079, 602, 649, 723, 1500, 454, 294, 1516, 865, 1454, 547, 1866, 602, 649, 1376, 4743, 8900, 543, 26416, 995, 3330, 454, 295, 13783, 5196, 10845, 543, 1989, 644, 2471, 1996, 1866, 945, 949, 17543, 610, 16662, 1549, 958, 723, 10413, 721, 454, 4131, 1154, 824, 1004, 781, 7180, 27774, 938, 4664, 543, 875, 649, 1745, 827, 6000, 543, 1866, 454, 12648, 519, 942, 547, 1694, 1524, 609, 6000, 543, 1451, 547, 5963, 6432, 547, 1018, 649, 991, 693, 713, 4090, 454, 12648, 5539, 585, 938, 1378, 1272, 267, 4606, 543, 3527, 454, 293, 864, 938, 12194, 543, 1451, 547, 3398, 519, 4158, 543, 13311, 2694, 540, 6000, 607, 30780, 607, 649, 798, 938, 9342, 282, 2899, 649, 616, 2111, 547, 798, 865, 267, 789, 6336, 741, 1379, 936, 721, 454, 301, 712, 880, 938, 2247, 543, 1560, 609, 2318, 4555, 543, 1648, 676, 4189, 519, 1318, 3536, 543, 2921, 856, 942, 547, 1491, 1416, 540, 938, 3929, 543, 2168, 2115, 593, 513, 3232, 4493, 454, 7197, 540, 782, 267, 649, 666, 1205, 547, 917, 6000, 607, 649, 1131, 513, 1007, 3659, 454, 1103, 3478, 547, 917, 6000, 267, 649, 949, 2483, 1326, 547, 917, 1018, 649, 1616, 543, 1018, 649, 798, 711, 1616, 538, 938, 2729, 267, 1018, 938, 15055, 543, 20247, 10105, 616, 454, 22772, 602, 1018, 649, 941, 3168, 585, 729, 1369, 721, 782, 519, 942, 454, 22772, 602, 649, 991, 547, 31799, 543, 1847, 593, 267, 543, 1082, 2053, 519, 1268, 945, 2115, 547, 581, 8483, 1508, 568, 6000, 454, 2171, 666, 1287, 6368, 1376, 29379, 532, 938, 1379, 543, 1847, 2509, 938, 1072, 543, 824, 1272, 3853, 2483, 296, 723, 5018, 538, 1250, 4505, 2022, 827, 875, 5312, 2175, 616, 2810, 5001, 269, 1656, 12982, 5312, 2175, 899, 16991, 2175, 267, 11959, 267, 10447, 543, 12263, 616, 2810, 693, 10565, 3928, 269, 26726, 1426, 22740, 8481, 267, 2566, 267, 13802, 267, 12982, 3536, 543, 4057, 6197, 616, 2356, 519, 1483, 2601, 585, 891, 12982, 2175, 563, 8505, 334, 14545, 2175, 7173, 841, 950, 707, 1560, 781, 4761, 1062, 6285, 621, 781, 1378, 8031, 2864, 513, 5732, 5906, 4914, 6219, 899, 606, 6784, 523, 267, 4551, 610, 3644, 267, 513, 25560, 269, 634, 4761, 1062, 14543, 547, 16174, 1063, 519, 4914, 11140, 543, 2694, 540, 707, 1560, 543, 10953, 12489, 1996, 3294, 2864, 982, 519, 11371, 644, 619, 269, 769, 930, 2665, 621, 779, 707, 11178, 896, 4323, 267, 538, 1866, 621, 779, 707, 24026, 267, 610, 707, 2960, 267, 707, 2634, 267, 707, 18558, 267, 610, 1776, 1418, 269, 1703, 616, 811, 982, 476, 1911, 2010, 540, 1634, 16991, 3676, 602, 723, 1044, 9286, 269, 1280, 3236, 27131, 12263, 267, 20461, 267, 2789, 26379, 267, 11178, 2068, 267, 12982, 15108, 2068, 1851, 1082, 1866, 563, 26452, 2589, 2404, 609, 16991, 2175, 630, 8117, 711, 3908, 547, 264, 616, 454, 329, 2002, 1928, 267, 4887, 1928, 267, 8467, 610, 12152, 528, 454, 10623, 9934, 13110, 610, 3170, 580, 4240, 267, 2597, 2744, 610, 4411, 22166, 454, 323, 787, 4064, 267, 5023, 610, 2960, 454, 18528, 22187, 2519, 610, 23622, 454, 7076, 2530, 267, 5312, 13165, 454, 763, 1909, 540, 5312, 6553, 454, 30509, 689, 513, 1950, 4719, 5057, 267, 1382, 2982, 602, 782, 16991, 2175, 723, 606, 27981, 2045, 5057, 607, 1134, 269, 2334, 1797, 602, 513, 1804, 851, 540, 519, 1981, 585, 3384, 606, 16991, 2068, 568, 1813, 547, 6197, 2188, 282, 538, 824, 1913, 267, 875, 1454, 596, 1847, 267, 1018, 596, 3548, 267, 875, 596, 2661, 707, 1272, 267, 707, 1514, 4296, 543, 707, 4598, 547, 2825, 13802, 1404, 513, 1360, 1804, 1909, 269, 9603, 547, 713, 2601, 267, 5312, 543, 11528, 6553, 1813, 547, 519, 3765, 31419, 4761, 3210, 568, 606, 5817, 3815, 585, 1082, 16991, 2175, 269, 634, 1434, 3377, 568, 602, 676, 4466, 856, 2707, 540, 519, 6553, 666, 948, 538, 5883, 519, 2783, 269, 901, 568, 1141, 23398, 6925, 666, 1404, 606, 1271, 1909, 563, 2467, 616, 1152, 513, 19625, 540, 23398, 6925, 9439, 538, 3127, 607, 540, 1631, 282, 596, 666, 1265, 873, 593, 519, 4659, 540, 23398, 6925, 3896, 269, 1703, 616, 1082, 2564, 4648, 630, 22372, 538, 519, 2475, 543, 5177, 264, 945, 616, 8036, 538, 519, 23398, 6925, 17565, 7247, 596, 666, 3914, 856, 547, 607, 789, 798, 29492, 2228, 563, 5278, 1919, 547, 1589, 827, 454, 7712, 16991, 2175, 1020, 1813, 547, 519, 1560, 781, 4761, 1062, 2469, 887, 326, 826, 267, 519, 3070, 6013, 538, 3478, 519, 4761, 1062, 1394, 896, 1852, 269, 594, 786, 1865, 713, 538, 811, 3877, 538, 513, 5094, 2022, 2663, 267, 855, 972, 616, 930, 2596, 3268, 602, 596, 666, 1491, 2221, 547, 1847, 2509, 1072, 543, 21755, 8894, 8256, 2541, 513, 12366, 958, 8770, 1673, 1619, 2732, 543, 30417, 3536, 602, 596, 723, 513, 8417, 2509, 630, 10472, 666, 581, 4857, 676, 3257, 513, 3102, 17594, 2732, 994, 24965, 576, 707, 25560, 4598, 454, 31161, 707, 1560, 543, 19334, 543, 946, 707, 6091, 563, 6944, 1503, 707, 2566, 10399, 1210, 29260, 2853, 630, 344, 7541, 267, 512, 2967, 16584, 267, 18552, 267, 2620, 7244, 264, 543, 9066, 454, 14611, 1555, 610, 1628, 1514, 4296, 609, 11215, 1004, 454, 7069, 1909, 607, 513, 2657, 3213, 778, 454, 7069, 1909, 607, 513, 23398, 6925, 14468, 2657, 3213, 778, 568, 547, 3391, 543, 1489, 596, 538, 2921, 519, 3268, 5018, 1657, 269, 4634, 609, 6616, 1018, 2115, 547, 581, 2944, 267, 621, 568, 711, 2141, 2653, 547, 1118, 519, 2556, 2242, 269, 18227, 519, 3741, 540, 23398, 6925, 538, 2247, 267, 594, 3391, 1250, 7218, 998, 519, 1184, 540, 1818, 1271, 6197, 543, 8192, 2242, 563, 1103, 1250, 18006, 7886, 596, 666, 2503, 2688, 2213, 5583, 543, 1489, 593, 454, 1700, 3207, 543, 11005, 454, 1700, 1514, 3347, 543, 4296, 454, 1700, 11009, 543, 2566, 2359, 454, 2252, 596, 616, 5461, 538, 6616, 811, 827, 875, 594, 666, 948, 596, 267, 5225, 1745, 1863, 547, 3346, 803, 1210, 519, 1106, 2630, 0, 13563, 4860, 30055, 281, 589, 25550, 3778, 267, 476, 11260, 271, 268, 5197, 275, 454, 2108, 2750, 3250, 550, 1547, 1547, 1547, 19262, 1164, 17192, 269, 6004, 269, 13177, 27711, 713, 30832, 1782, 18626, 1686, 609, 4346, 267, 9355, 267, 543, 12667, 1145, 1848, 1765, 289, 16781, 534, 3244, 916, 267, 9931, 9335, 4750, 454, 763, 1977, 7169, 568, 1419, 17814, 607, 513, 1164, 16490, 267, 1931, 569, 2680, 4171, 1698, 7723, 267 ]

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

[ 1349, 689, 513, 2546, 912, 10454, 1007, 2243, 6361, 7308, 22173, 568, 912, 1432, 568, 519, 2582, 1034, 2500, 14292, 4640, 596, 723, 1031, 609, 1053, 609, 1565, 2591, 888, 1607, 2022, 568, 851, 540, 513, 3476, 3126, 540, 2055, 543, 4267, 18136, 7855, 689, 1585, 10459, 547, 2671, 741, 968, 338, 17532, 1034, 2500, 14292, 4640, 3034, 19177, 4374, 3516, 267, 7855, 3838, 741, 7840, 950, 621, 3357, 547, 3450, 1603, 563, 16248, 4374, 3516, 267, 621, 729, 827, 3450, 2296, 25082, 6267, 563, 13043, 729, 519, 1445, 1079, 4374, 3516, 563, 8310, 3018, 779, 9708, 941, 593, 2257, 563, 2467, 616, 811, 547, 2097, 2336, 9213, 267, 18578, 344, 918, 6914, 267, 27813, 4144, 7167, 7699, 267, 589, 889, 9445, 962, 12317, 267, 543, 7200, 667, 11230, 2709, 741, 6114, 563, 8072, 2710, 898, 267, 28423, 898, 267, 13017, 898, 267, 1299, 13574, 898, 256, 20371, 307, 984, 344, 918, 6914, 568, 606, 8366, 20421, 2027, 19829, 267, 3486, 1459, 518, 267, 543, 2278, 945, 568, 13730, 538, 4687, 1200, 1702, 609, 1866, 547, 1628, 593, 519, 4222, 540, 1053, 609, 2027, 2115, 538, 8537, 13460, 267, 3206, 827, 1018, 547, 798, 543, 1018, 547, 798, 1732, 256, 2701, 814, 6026, 1053, 8151, 689, 1095, 577, 5622, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17843, 7007, 19019, 257, 607, 851, 540, 834, 3633, 24102, 1315, 32213, 4065, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 2295, 540, 28180, 3013, 267, 519, 29142, 3626, 1920, 729, 25054, 593, 513, 1007, 7045, 269, 14210, 4458, 6040, 15616, 6062, 549, 2893, 521, 592, 6362, 538, 519, 1394, 572, 520, 1247, 1200, 3237, 5941, 741, 14232, 1847, 547, 741, 1007, 1753, 269, 4173, 3993, 267, 962, 25431, 267, 6836, 547, 4497, 15616, 6062, 549, 538, 6643, 267, 855, 519, 2370, 8004, 1175, 588, 1563, 856, 540, 519, 6885, 267, 8384, 519, 29278, 979, 676, 269, 2701, 15534, 332, 14800, 569, 535, 1342, 1194, 609, 519, 27315, 1540, 536, 537, 21103, 1200, 1655, 3659, 1185, 2016, 1200, 1354, 789, 2451, 910, 513, 3586, 12576, 540, 1018, 1352, 729, 6028, 3297, 780, 2419, 328, 6062, 549, 781, 4651, 267, 13019, 1470, 267, 3576, 513, 4636, 2490, 1524, 513, 536, 17056, 267, 936, 326, 3497, 2619, 269, 1306, 789, 22755, 4514, 883, 519, 4104, 267, 15616, 6062, 549, 7948, 1405, 948, 855, 1745, 11552, 6470, 269, 3414, 519, 10053, 16714, 267, 1352, 9575, 513, 19214, 540, 606, 3504, 18533, 267, 922, 4064, 3100, 532, 547, 1246, 741, 1286, 522, 2381, 3585, 780, 257, 16100, 267, 3214, 256, 1323, 14460, 31768, 6288, 10590, 608, 13094, 13019, 1470, 31113, 267, 3843, 1010, 1655, 547, 1769, 523, 519, 7099, 269, 1261, 6288, 539, 2282, 513, 4158, 15993, 267, 543, 519, 2185, 540, 873, 5887, 3293, 3330, 267, 7279, 533, 31985, 269, 24021, 689, 519, 824, 2427, 267, 789, 1336, 2933, 11303, 676, 8920, 777, 573, 730, 5656, 543, 552, 24809, 16563, 780, 5445, 3357, 2066, 513, 9583, 10512, 13962, 267, 14297, 609, 519, 5023, 22476, 24462, 540, 1585, 8286, 1373, 5423, 269, 1717, 267, 1945, 5433, 1055, 269, 1703, 7012, 1405, 513, 2582, 9441, 610, 6075, 538, 8289, 269, 6736, 1200, 3395, 31536, 542, 267, 15616, 6062, 549, 4553, 1200, 3237, 3330, 267, 22348, 9887, 602, 3006, 267, 2921, 4220, 666, 1291, 547, 3078, 8906, 780, 15463, 3237, 25653, 883, 6676, 1310, 6676, 540, 8949, 1426, 1510, 11688, 2787, 267, 28409, 15616, 6062, 549, 547, 6443, 873, 269, 1809, 950, 1352, 11688, 18469, 267, 10393, 4743, 7210, 547, 1200, 7181, 267, 1200, 4651, 25323, 1200, 4145, 269, 1358, 561, 13774, 1117, 543, 795, 12097, 267, 11981, 741, 21649, 1247, 15616, 6062, 549, 13603, 693, 1200, 338, 11816, 13124, 780, 14737, 2373, 2663, 267, 1200, 3237, 9927, 883, 9240, 5052, 4302, 6477, 7068, 1318, 1354, 1200, 1360, 4064, 269, 7754, 545, 1305, 538, 267, 855, 9624, 519, 14784, 267, 15616, 6062, 549, 15422, 930, 5796, 1200, 20516, 2899, 3838, 281, 11408, 3972, 707, 26756, 267, 1256, 952, 1866, 1810, 1405, 1174, 1946, 596, 1745, 519, 1259, 596, 798, 780, 293, 3241, 539, 676, 8990, 267, 15616, 6062, 549, 4044, 730, 519, 581, 32612, 1359, 1158, 540, 14326, 543, 9059, 1631, 4478, 1200, 267, 1818, 16167, 2059, 519, 1259, 269, 670, 27495, 267, 513, 12357, 6891, 23401, 519, 15743, 30866, 1352, 1031, 547, 8038, 1394, 1753, 267, 2968, 1200, 14191, 13959, 269, 8625, 267, 789, 25282, 513, 1544, 547, 4688, 1200, 3237, 543, 9101, 519, 804, 583, 2583, 540, 519, 642, 3188, 995, 18338, 945, 5641, 519, 11963, 780, 9961, 1200, 3460, 267, 15616, 6062, 549, 4121, 3407, 4245, 827, 10100, 267, 1582, 16531, 267, 543, 4199, 6888, 269, 1635, 6947, 547, 1200, 20932, 543, 7555, 909, 585, 1018, 1352, 5156, 538, 267, 1352, 7307, 547, 2736, 519, 31169, 12735, 5224, 1200, 3237, 543, 2132, 873, 547, 3339, 780, 4913, 267, 972, 941, 4539, 547, 741, 791, 14601, 3375, 547, 2263, 519, 14460, 6249, 6288, 269, 4256, 1007, 12543, 2363, 539, 873, 2112, 1176, 267, 22090, 27128, 1851, 2933, 8164, 789, 11402, 519, 9490, 1920, 269, 6478, 3262, 3533, 2429, 4884, 267, 2870, 26101, 3871, 693, 1153, 543, 2146, 2621, 780, 3719, 5103, 891, 2591, 267, 519, 744, 6265, 657, 829, 572, 30099, 267, 1565, 547, 9784, 1689, 543, 3398, 519, 15116, 885, 602, 1500, 873, 2189, 269, 3683, 942, 267, 519, 26866, 619, 7449, 3660, 267, 8719, 3079, 609, 2984, 540, 6043, 543, 22838, 10704, 1472, 1762, 15616, 6062, 549, 269, 1656, 5555, 267, 1272, 8120, 547, 513, 5033, 4565, 766, 540, 3339, 1097, 267, 11014, 4957, 2943, 26837, 22239, 6793, 982, 2479, 1354, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 8923, 2626, 519, 1739, 2243, 281, 2637, 4733, 513, 2243, 827, 519, 1739, 7260, 4729, 281, 14210, 4458, 6040, 15616, 6062, 549, 630, 341, 4069, 281, 25272, 662, 932, 848, 538, 519, 476, 1220, 273, 2296, 19796, 264, 543, 1200, 3237, 630, 341, 7860, 281, 19846, 333, 4591, 569, 543, 7812, 932, 1731, 5894, 264, 5397, 547, 741, 1007, 1753, 269, 15616, 6062, 549, 568, 627, 4176, 543, 29043, 827, 519, 1847, 267, 2523, 950, 1352, 711, 1182, 602, 519, 536, 537, 21103, 1200, 3659, 5795, 1200, 607, 513, 1434, 1532, 6614, 10516, 568, 27315, 1154, 269, 769, 8289, 540, 741, 1007, 2777, 267, 789, 1491, 513, 4636, 2490, 543, 1246, 513, 536, 17056, 267, 9178, 539, 2025, 4155, 998, 519, 18137, 282, 15616, 6062, 549, 12034, 606, 9642, 2025, 18533, 998, 519, 4054, 607, 789, 5397, 676, 269, 634, 4155, 7475, 693, 513, 15993, 3056, 547, 606, 14460, 6249, 6288, 269, 898, 3947, 15616, 6062, 549, 519, 1212, 10134, 267, 855, 1200, 3237, 22321, 1200, 547, 979, 538, 609, 873, 543, 1413, 1472, 269, 5475, 29595, 2066, 513, 6371, 344, 5251, 543, 513, 3819, 5757, 5523, 267, 789, 18214, 513, 6149, 25047, 13826, 543, 2097, 547, 513, 8265, 20898, 609, 14060, 543, 15945, 269, 4107, 616, 9390, 539, 267, 855, 519, 24710, 540, 5986, 5012, 873, 547, 519, 835, 13962, 602, 781, 1134, 6006, 539, 609, 1426, 4534, 1498, 621, 781, 12357, 569, 9390, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 1015, 281, 4197, 32468, 7007, 20167, 553, 538, 22518, 27418, 692, 5331, 596, 2811, 4730, 513, 3014, 540, 11090, 609, 707, 2828, 1282, 12424, 269, 1411, 917, 602, 952, 596, 1205, 9575, 267, 596, 3513, 723, 547, 1694, 593, 519, 521, 573, 3894, 2394, 519, 1985, 5180, 6238, 269, 1809, 3006, 267, 950, 596, 1294, 519, 1268, 945, 781, 834, 527, 257, 4947, 2509, 596, 267, 3079, 540, 4881, 2476, 267, 596, 1522, 3442, 547, 3500, 1524, 543, 1577, 873, 6952, 909, 865, 596, 1152, 723, 547, 1694, 856, 585, 513, 2370, 1247, 1354, 556, 14765, 1456, 519, 3014, 269, 2334, 1259, 267, 596, 2057, 1373, 669, 1078, 1472, 585, 1932, 1279, 2439, 1103, 1082, 2081, 267, 713, 3510, 568, 2147, 547, 1018, 4523, 1282, 513, 1184, 1572, 513, 834, 10864, 582, 7007, 5418, 320, 257, 538, 938, 5126, 1062, 269, 1879, 2576, 568, 15034, 540, 22867, 513, 6760, 267, 972, 616, 1079, 1292, 10092, 789, 666, 1491, 281, 2901, 2469, 998, 513, 4693, 610, 16561, 513, 5418, 320, 20476, 664, 269, 4653, 267, 649, 2811, 2469, 547, 1445, 593, 1018, 621, 1797, 547, 3398, 513, 5418, 320, 20476, 664, 780, 4131, 781, 2161, 3627, 4991, 883, 8373, 693, 1153, 585, 18417, 14124, 513, 4928, 6885, 1282, 13558, 2259, 269, 1261, 1223, 3068, 3978, 4539, 899, 20022, 610, 30969, 269, 1717, 267, 1010, 4116, 3091, 1864, 513, 4960, 547, 16153, 602, 646, 1500, 513, 12161, 676, 8840, 519, 6885, 630, 16838, 1498, 621, 729, 16662, 30102, 264, 543, 14767, 547, 2569, 1010, 10751, 269, 901, 4244, 3070, 568, 1454, 899, 513, 5418, 320, 20476, 664, 538, 1483, 1272, 1107, 3627, 23216, 547, 21334, 16203, 585, 513, 1447, 4049, 25213, 982, 1018, 646, 7620, 5185, 780, 3383, 1946, 798, 1004, 3858, 547, 891, 9388, 286, 4270, 267, 1175, 607, 875, 9361, 593, 519, 521, 573, 3894, 585, 513, 2110, 942, 666, 3100, 811, 13267, 982, 11173, 547, 2196, 689, 707, 3659, 538, 519, 3014, 540, 11090, 267, 16561, 513, 5418, 320, 20476, 664, 1522, 1745, 1732, 982, 2921, 519, 1981, 1512, 4781, 540, 2469, 547, 4693, 269, 4438, 513, 4693, 267, 513, 9794, 543, 21139, 6430, 2436, 610, 711, 2576, 568, 16944, 1759, 593, 2963, 4843, 538, 5480, 269, 1403, 1336, 16944, 267, 519, 1055, 2658, 8188, 20507, 4956, 2390, 676, 519, 9794, 269, 6884, 267, 1346, 19439, 906, 666, 581, 554, 1513, 615, 982, 1018, 729, 6035, 538, 519, 3312, 5418, 320, 20476, 664, 269, 3958, 267, 8062, 1419, 4125, 17890, 18659, 799, 2014, 2566, 543, 4160, 585, 1312, 6105, 3238, 780, 3719, 3314, 267, 7446, 1063, 513, 5418, 320, 20476, 664, 543, 2469, 547, 4693, 3884, 1405, 2141, 2653, 269, 5637, 3681, 2097, 609, 741, 1378, 5036, 540, 5294, 543, 931, 269, 1280, 1383, 267, 16561, 513, 5418, 320, 20476, 664, 2356, 3322, 16153, 1154, 16203, 267, 6466, 2469, 547, 4693, 2636, 9718, 1218, 547, 2226, 26454, 7488, 540, 6364, 269, 3962, 1367, 1590, 9260, 891, 2188, 5402, 950, 1818, 971, 1713, 5079, 780, 3086, 1589, 1394, 547, 707, 3014, 540, 11090, 269, 9320, 1310, 6236, 782, 3344, 267, 596, 8275, 602, 15603, 3054, 581, 9575, 1631, 17990, 596, 689, 25874, 2663, 269, 6684, 267, 1620, 519, 1523, 540, 7858, 7007, 5418, 553, 2337, 721, 5660, 519, 10848, 1369, 938, 3656, 1949, 269, 898, 2982, 721, 875, 3025, 1568, 1927, 547, 1265, 4023, 3435, 602, 4324, 3025, 3238, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27078, 582, 7007, 20167, 553, 910, 22518, 4521, 454, 13356, 4575, 2436, 547, 979, 547, 4693, 610, 3398, 513, 5418, 320, 20476, 664, 568, 835, 540, 519, 1034, 1271, 3664, 4896, 9901, 609, 513, 6760, 538, 4993, 786, 991, 547, 1118, 269, 589, 5418, 320, 20476, 664, 568, 606, 6876, 538, 513, 7803, 2013, 1141, 513, 24769, 568, 2016, 519, 4316, 547, 5418, 611, 16944, 547, 513, 14758, 5279, 610, 547, 4309, 513, 14402, 4845, 269, 20167, 320, 20476, 1622, 616, 1641, 547, 1142, 5480, 781, 13170, 267, 543, 1169, 1533, 814, 1114, 3652, 543, 22875, 269, 20167, 320, 20476, 1622, 666, 581, 25368, 547, 519, 31989, 543, 519, 8878, 269, 769, 930, 2665, 267, 519, 31989, 1131, 581, 1930, 547, 27410, 513, 5418, 320, 4308, 609, 513, 24769, 1256, 1498, 789, 949, 581, 8746, 540 ]

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

[ 950, 594, 2877, 547, 946, 14249, 780, 2162, 1948, 277, 289, 1461, 3780, 1109, 1109, 300, 20047, 692, 14530, 6349, 454, 12024, 454, 271, 299, 10105, 454, 12024, 692, 16829, 476, 2537, 5988, 476, 1001, 275, 910, 476, 6187, 281, 7906, 6751, 692, 11039, 678, 10915, 3085, 1405, 2097, 909, 1454, 538, 3014, 1821, 19037, 267, 2094, 519, 14290, 616, 865, 1507, 780, 12552, 585, 519, 4063, 269, 1635, 519, 1259, 267, 1772, 14290, 3622, 1031, 1152, 585, 476, 274, 291, 3756, 286, 634, 1152, 942, 594, 1031, 519, 2856, 540, 14290, 729, 1152, 950, 594, 2877, 547, 946, 14249, 780, 275, 343, 275, 14290, 616, 1031, 782, 936, 4359, 6323, 267, 2523, 25536, 1141, 596, 991, 621, 7168, 1454, 585, 519, 1482, 4128, 607, 2780, 12449, 630, 320, 476, 274, 291, 3413, 710, 2230, 1040, 14451, 10155, 14290, 616, 1031, 538, 1585, 8371, 540, 4294, 7194, 267, 3092, 1862, 865, 267, 1100, 267, 14290, 616, 711, 1152, 585, 595, 294, 267, 789, 723, 513, 2647, 2039, 540, 3096, 2066, 1082, 10459, 780, 28490, 594, 1174, 519, 3044, 1318, 621, 568, 3656, 543, 2922, 547, 798, 713, 855, 519, 4611, 1871, 1223, 581, 4376, 14325, 2162, 1948, 278, 8705, 10811, 639, 1109, 1109, 28269, 16840, 692, 14631, 276, 454, 12024, 454, 271, 299, 10105, 454, 12024, 692, 16829, 476, 2537, 5988, 476, 1001, 275, 910, 476, 1015, 281, 3607, 6751, 692, 11039, 678, 10915, 3085, 1405, 2097, 909, 1454, 538, 3014, 1821, 19037, 267, 2094, 519, 14290, 616, 865, 1507, 780, 12552, 585, 519, 4063, 269, 1635, 519, 1259, 267, 1772, 14290, 3622, 1031, 1152, 585, 476, 274, 291, 3756, 286, 634, 1152, 942, 594, 1031, 519, 2856, 540, 14290, 729, 1152, 950, 594, 2877, 547, 946, 14249, 780, 275, 343, 275, 14290, 616, 1031, 782, 936, 4359, 6323, 267, 2523, 25536, 1141, 596, 991, 621, 7168, 1454, 585, 519, 1482, 4128, 607, 2780, 12449, 630, 320, 476, 274, 291, 3413, 710, 2230, 1040, 14451, 10155, 14290, 616, 1031, 538, 1585, 8371, 540, 4294, 7194, 267, 3092, 1862, 865, 267, 1100, 267, 14290, 616, 711, 1152, 585, 595, 294, 267, 789, 723, 513, 2647, 2039, 540, 3096, 2066, 1082, 10459, 780, 19950, 532, 269, 8729, 780, 24874, 1888, 2439, 10817, 652, 267, 519, 2063, 2022, 540, 713, 1888, 568, 936, 476, 2568, 2395, 2025, 543, 693, 713, 1448, 596, 949, 711, 16253, 538, 713, 1888, 269, 1403, 596, 6999, 547, 3136, 713, 6643, 1376, 513, 1007, 1888, 269 ]

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

[ 711, 1152, 519, 2250, 855, 849, 8774, 1769, 593, 519, 1459, 543, 2104, 7567, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 1705, 519, 2530, 540, 8513, 676, 519, 4436, 7276, 1764, 519, 2699, 22148, 10665, 538, 2342, 543, 519, 6521, 538, 1379, 6384, 888, 763, 2530, 540, 8513, 676, 519, 4436, 7276, 8507, 538, 513, 1713, 1764, 593, 519, 2699, 22148, 10665, 538, 2342, 543, 519, 6521, 538, 1379, 6384, 269, 17616, 267, 519, 15521, 540, 12411, 320, 14792, 267, 799, 6825, 519, 1439, 540, 2622, 2782, 594, 267, 2838, 5125, 547, 524, 27827, 8513, 547, 15231, 2477, 267, 1519, 5333, 267, 19934, 267, 16862, 267, 543, 12996, 269, 634, 2530, 540, 1325, 338, 864, 6441, 528, 9627, 547, 5333, 267, 585, 3236, 267, 3366, 547, 513, 1689, 538, 1379, 6384, 267, 799, 5462, 922, 2078, 609, 5125, 780, 30772, 267, 519, 15521, 540, 12411, 320, 14792, 7142, 5125, 547, 2285, 909, 922, 10125, 267, 4617, 2287, 922, 11440, 1379, 543, 3310, 936, 519, 1158, 269, 634, 2530, 540, 11182, 543, 10125, 3366, 547, 513, 6521, 538, 2518, 1379, 6384, 607, 1896, 2477, 3576, 5413, 540, 5125, 781, 18604, 1533, 547, 3986, 741, 3310, 936, 741, 9757, 4525, 780, 23612, 569, 267, 519, 15521, 540, 12411, 320, 14792, 13684, 7372, 2112, 1065, 25730, 593, 5125, 267, 3056, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 3848, 476, 277, 281, 8836, 4860, 1388, 1436, 543, 5678, 27264, 910, 4045, 532, 609, 3776, 12815, 547, 12706, 513, 16200, 8892, 692, 5331, 952, 596, 941, 1152, 4847, 547, 3717, 835, 1893, 585, 519, 1964, 540, 707, 1272, 269, 1548, 952, 602, 1893, 7012, 1405, 707, 5065, 11469, 286, 1280, 1082, 6805, 2950, 1472, 519, 1158, 267, 713, 814, 1044, 513, 4641, 789, 4312, 5185, 1813, 547, 17091, 543, 14051, 269, 1306, 649, 4685, 883, 519, 3584, 540, 8836, 4860, 1388, 1436, 543, 5678, 27264, 267, 1577, 721, 2263, 1946, 8497, 4654, 543, 5389, 2339, 543, 875, 621, 13462, 721, 547, 938, 3885, 543, 3347, 1369, 6805, 2950, 780, 4089, 476, 272, 281, 4208, 9177, 543, 5678, 17460, 692, 290, 11857, 568, 899, 513, 14951, 9221, 4904, 609, 2984, 267, 4978, 267, 2418, 267, 9821, 267, 543, 1148, 3838, 1851, 2516, 540, 1004, 2429, 1686, 269, 898, 5546, 945, 649, 616, 543, 1141, 649, 2097, 689, 269, 10251, 267, 936, 942, 267, 930, 4529, 666, 28201, 2476, 1317, 741, 2189, 4654, 14897, 269, 1879, 513, 1893, 8709, 8460, 267, 865, 1281, 922, 3982, 1259, 540, 7487, 519, 1158, 267, 1620, 3347, 267, 543, 11589, 4664, 269, 901, 2530, 4617, 839, 519, 7554, 1063, 1920, 2818, 267, 2146, 13218, 267, 543, 1256, 513, 1268, 781, 2631, 540, 3961, 780, 23458, 568, 811, 982, 1175, 1913, 282, 621, 11438, 519, 26470, 540, 513, 2528, 269, 5994, 1373, 8572, 547, 2307, 707, 22594, 827, 741, 6689, 8823, 610, 2206, 2757, 8964, 5293, 1524, 998, 5481, 269, 700, 3151, 513, 1893, 1797, 9561, 9048, 2897, 762, 4773, 540, 6561, 543, 7326, 269, 2334, 781, 1946, 2686, 26016, 1436, 543, 1893, 11091, 3646, 616, 2629, 585, 6805, 2950, 5001, 780, 4089, 476, 273, 281, 12267, 3245, 7087, 18877, 692, 25603, 519, 27707, 8615, 262, 520, 13780, 267, 513, 7524, 6805, 2146, 2713, 2059, 3703, 12052, 781, 7414, 5032, 538, 4516, 269, 4256, 3638, 2528, 25856, 1472, 2463, 585, 519, 2244, 267, 4262, 267, 543, 2011, 267, 799, 1683, 873, 32351, 543, 4001, 3407, 4245, 269, 1717, 267, 607, 7864, 1453, 4121, 741, 18577, 1893, 267, 519, 1297, 540, 31402, 3911, 262, 531, 4445, 1314, 10529, 546, 13388, 1194, 269, 1677, 2232, 713, 6161, 267, 519, 27707, 8615, 262, 520, 7233, 5741, 3459, 1107, 513, 5698, 1063, 22242, 267, 3610, 267, 543, 1053, 6322, 693, 556, 6618, 532, 6107, 609, 741, 5072, 998, 3946, 6823, 2238, 10704, 1472, 2030, 8446, 543, 6165, 269, 1635, 3257, 865, 267, 7820, 5481, 2968, 6273, 547, 8190, 3911, 262, 531, 4445, 1314, 1247, 14304, 22686, 543, 18497, 7554, 780, 5194, 1383, 2501, 689, 16127, 267, 1141, 519, 22963, 1893, 729, 2899, 5176, 17255, 269, 3414, 13447, 539, 3646, 676, 7855, 267, 8059, 1235, 267, 543, 6131, 2146, 2818, 267, 22963, 568, 1631, 9275, 676, 5215, 540, 7264, 267, 4180, 602, 3504, 669, 1218, 267, 4779, 262, 1961, 5979, 630, 560, 1559, 1070, 543, 803, 548, 630, 338, 29330, 264, 786, 22036, 269, 1452, 18454, 6542, 519, 1379, 540, 9322, 543, 16177, 538, 17420, 2686, 23543, 780, 4089, 476, 274, 281, 1215, 2052, 1411, 6435, 2496, 2026, 2104, 3401, 267, 596, 1932, 1404, 513, 4105, 1909, 538, 14120, 4763, 543, 5807, 13784, 269, 3371, 616, 2081, 547, 1489, 2686, 26016, 1436, 543, 1893, 11091, 1384, 272, 269, 6258, 281, 3447, 622, 3054, 827, 6805, 4529, 267, 12583, 267, 543, 4654, 538, 707, 1858, 610, 3564, 269, 23905, 267, 15882, 267, 32026, 267, 543, 2228, 2200, 616, 5140, 4358, 2798, 563, 273, 269, 19415, 281, 18918, 609, 22242, 267, 1650, 339, 25527, 267, 5159, 267, 543, 2146, 2818, 945, 4163, 2757, 1702, 269, 9105, 2055, 267, 1397, 1719, 267, 543, 2671, 1018, 596, 4312, 4121, 609, 1866, 563, 274, 269, 5917, 11229, 281, 28423, 909, 1996, 11475, 543, 20887, 4478, 6805, 4529, 543, 4654, 269, 11559, 3506, 547, 6451, 3309, 5380, 538, 19593, 592, 4548, 563, 275, 269, 12160, 622, 281, 15012, 2621, 971, 607, 1893, 5049, 267, 11925, 267, 610, 18428, 18799, 676, 6805, 2950, 269, 21727, 2685, 4497, 538, 9821, 543, 2853, 602, 8956, 891, 4529, 563, 276, 269, 8081, 281, 5213, 622, 942, 267, 1983, 267, 610, 2200, 547, 3906, 2324, 2509, 2686, 26016, 1436, 543, 1893, 11091, 7341, 780, 3528, 8508, 938, 3604, 543, 14637, 513, 4514, 7071, 585, 1585, 4529, 543, 4654, 267, 649, 1711, 6793, 4296, 1369, 3885, 543, 2950, 269, 8625, 267, 649, 1628, 13123, 2066, 6082, 543, 2327, 602, 1169, 5639, 267, 2250, 543, 1459, 267, 5170, 547, 16079, 998, 552, 1181, 640, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 791, 28127, 585, 519, 27707, 8615, 685, 520, 7233, 5741, 729, 585, 1053, 547, 1118, 4296, 609, 741, 661, 671, 619, 267, 998, 1153, 2257, 6437, 267, 538, 1931, 547, 1451, 827, 741, 2528, 267, 2244, 267, 543, 1893, 267, 799, 616, 782, 538, 2169, 878, 2406, 5532, 269, 7087, 11310, 630, 31082, 264, 568, 6444, 607, 606, 1271, 1826, 540, 12725, 1759, 1702, 4371, 676, 7087, 543, 824, 1279, 9113, 1211, 9082, 630, 29155, 7719, 267, 476, 1001, 273, 282, 10965, 1947, 1299, 595, 832, 580, 20377, 267, 476, 1220, 272, 282, 25306, 267, 22695, 864, 1299, 22695, 864, 267, 476, 1220, 271, 1040, 3689, 8315, 9082, 723, 1185, 267, 543, 3136, 547, 723, 267, 606, 15982, 2078, 609, 741, 4630, 601, 1343, 267, 1759, 593, 1702, 602, 568, 3810, 22297, 267, 19469, 998, 1082, 5481, 543, 13998, 20218, 630, 298, 1177, 698, 2917, 1696, 620, 1421, 476, 1960, 279, 1040, 8616, 267, 661, 671, 619, 543, 7855, 538, 3689, 8315, 2950, 723, 6829, 2620, 4145, 602, 6107, 616, 1100, 3476, 1565, 519, 2686, 543, 2199, 2825, 1702, 602, 13455, 873, 543, 741, 11937, 585, 5481, 630, 305, 269, 2372, 1442, 267, 570, 1695, 2741, 534, 26744, 267, 2123, 2792, 267, 476, 1960, 278, 282, 681, 269, 667, 12447, 267, 570, 1695, 2741, 534, 26744, 267, 2123, 2792, 267, 476, 1960, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 4860, 1388, 1436, 543, 5678, 27264, 257, 607, 851, 540, 834, 293, 4456, 6579, 312, 1299, 23781, 9569, 17239, 296, 4916, 1315, 7087, 19198, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 4197, 5403, 24645, 1143, 543, 15875, 1143, 998, 28064, 5020, 692, 5331, 596, 616, 4730, 707, 5172, 3381, 3014, 267, 855, 2576, 3116, 2813, 519, 3652, 543, 4991, 547, 6430, 945, 17993, 543, 19380, 269, 2334, 1268, 1522, 2661, 2484, 2476, 543, 3085, 1405, 2731, 1174, 875, 1454, 1187, 630, 528, 17140, 264, 1346, 3652, 3142, 596, 256, 901, 3510, 949, 3100, 15490, 267, 1318, 286, 23985, 2147, 5949, 1082, 2053, 2429, 1686, 950, 3532, 2477, 3576, 1852, 936, 4130, 610, 1447, 3532, 3283, 269, 1358, 4957, 4031, 267, 4529, 267, 4654, 267, 543, 11615, 2687, 547, 1018, 789, 2219, 729, 1655, 269, 901, 7613, 568, 1572, 22030, 780, 4131, 781, 4685, 4514, 883, 1620, 891, 2462, 2035, 676, 3168, 693, 1945, 6251, 547, 1753, 910, 899, 513, 9036, 256, 6056, 827, 513, 13962, 5832, 971, 607, 29106, 12567, 269, 1284, 666, 5635, 519, 2078, 1063, 1114, 2516, 1369, 519, 13962, 547, 2022, 24645, 1143, 543, 22030, 780, 1103, 713, 9183, 1384, 265, 634, 5561, 616, 899, 519, 3935, 9088, 610, 3532, 2477, 1317, 789, 2972, 519, 2533, 3177, 676, 519, 13962, 1247, 2348, 2370, 9525, 538, 922, 3232, 4238, 563, 265, 634, 2359, 2319, 4564, 519, 15194, 1362, 610, 31794, 945, 2196, 1919, 3297, 519, 10207, 1759, 593, 741, 1378, 4690, 267, 1175, 899, 7810, 16984, 1705, 1282, 11440, 4341, 563, 265, 7053, 267, 519, 5520, 1106, 519, 5354, 1895, 4171, 4074, 5932, 1871, 267, 13380, 547, 6805, 9082, 896, 7810, 28735, 780, 3086, 1589, 827, 3220, 269, 8055, 267, 519, 4387, 689, 519, 1357, 1349, 269, 2701, 16137, 827, 14100, 1143, 267, 799, 11363, 11832, 16882, 1996, 7518, 5511, 1870, 2853, 269, 27837, 676, 1200, 2833, 538, 513, 9769, 267, 1141, 3782, 4648, 2097, 1927, 547, 2149, 1142, 824, 781, 2924, 267, 1352, 7512, 1866, 547, 10891, 1932, 269, 1635, 3257, 865, 267, 1352, 24151, 835, 4295, 2856, 540, 2022, 24645, 3069, 281, 5706, 532, 8789, 4229, 543, 29379, 532, 1379, 998, 7104, 2962, 780, 3719, 1946, 798, 1004, 3006, 5706, 11836, 18787, 286, 4270, 267, 972, 666, 581, 1585, 4128, 269, 2368, 13915, 8044, 602, 18787, 1831, 17531, 29386, 543, 1582, 1606, 6326, 267, 30534, 741, 3312, 3483, 269, 11524, 3494, 602, 18787, 588, 604, 548, 5647, 2094, 14461, 3889, 1810, 1405, 3082, 3533, 2614, 547, 1689, 269, 1452, 2152, 13469, 609, 5717, 1472, 13313, 538, 2797, 1949, 3964, 1310, 28160, 1436, 269, 6884, 267, 9241, 4830, 6082, 17388, 547, 1628, 4023, 5238, 1813, 547, 29886, 7506, 689, 5449, 17710, 780, 4913, 267, 5103, 1761, 25354, 267, 18787, 1404, 513, 2629, 1909, 538, 7863, 4600, 262, 2924, 267, 4180, 12581, 2126, 267, 543, 14957, 585, 1732, 13848, 543, 2175, 269, 6684, 267, 2022, 24645, 3332, 1419, 8711, 2984, 540, 4187, 267, 6668, 267, 543, 7004, 267, 14120, 2686, 4763, 543, 26477, 7190, 4535, 856, 540, 1950, 12583, 780, 2026, 1762, 3988, 267, 2015, 10452, 2390, 8320, 540, 8635, 538, 707, 1272, 269, 1215, 1131, 596, 4431, 952, 5185, 609, 3871, 8506, 7104, 4187, 286, 5457, 267, 6568, 267, 17604, 267, 543, 5876, 4492, 2318, 1689, 269, 3414, 2565, 2542, 543, 3206, 267, 596, 1932, 666, 3565, 547, 2679, 811, 8537, 2950, 543, 7239, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3086, 602, 594, 723, 4121, 827, 14100, 1143, 267, 513, 6138, 602, 4025, 519, 4600, 1107, 519, 605, 2280, 30353, 1107, 607, 519, 1034, 1271, 851, 540, 1022, 4346, 267, 543, 711, 519, 2754, 5411, 543, 741, 9946, 1107, 519, 536, 28123, 12251, 773, 1107, 594, 993, 6273, 547, 6125, 609, 4948, 1004, 563, 7069, 1995, 538, 513, 9769, 607, 513, 4387, 814, 1044, 3833, 606, 3750 ]

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

[ 0, 9596, 547, 4032, 2060, 901, 630, 15575, 519, 27014, 264, 5131, 15026, 4569, 8018, 7435, 719, 1280, 8866, 454, 26670, 766, 707, 3214, 10203, 543, 6310, 1983, 609, 713, 4032, 519, 27014, 8018, 269, 6657, 2306, 3501, 269, 8281, 621, 1631, 563, 258, 14358, 281, 476, 10082, 272, 1923, 1948, 20042, 281, 476, 9032, 1923, 1948, 2398, 6493, 281, 476, 10204, 454, 12812, 585, 24614, 9669, 454, 3528, 281, 808, 10154, 15026, 454, 2791, 666, 21160, 621, 543, 1689, 519, 2592, 269, 1284, 849, 2709, 1082, 1114, 8866, 6096, 593, 938, 3135, 689, 18827, 547, 16974, 9664, 543, 865, 1082, 811, 269, 16731, 721, 856, 1631, 543, 1205, 547, 8228, 2336, 15575, 519, 27014, 4569, 8018, 454, 2080, 596, 786, 1265, 513, 1804, 5542, 540, 1863, 7792, 10203, 3211, 269, 9752, 1762, 1453, 547, 1293, 568, 606, 1271, 851, 540, 1169, 2069, 563, 4322, 3211, 616, 2966, 547, 4001, 2979, 547, 1762, 1453, 538, 9656, 610, 1101, 543, 2034, 9344, 563, 8253, 1152, 1281, 621, 4001, 707, 1126, 547, 5431, 2338, 267, 621, 786, 4001, 873, 875, 547, 1293, 3615, 543, 1451, 2979, 811, 3927, 269, 5620, 707, 1053, 2638, 519, 2338, 585, 519, 2953, 2626, 269, 5192, 873, 547, 4032, 519, 3615, 543, 3442, 519, 2323, 322, 551, 1297, 689, 519, 1592, 563, 7476, 938, 1565, 547, 1293, 4976, 30453, 1631, 543, 3274, 3442, 707, 10959, 543, 1820, 621, 1863, 2336, 5415, 3245, 901, 21145, 0, 289, 1678, 9314, 26162, 281, 24434, 616, 1851, 519, 1034, 1031, 2200, 602, 1683, 2883, 1489, 547, 2043, 543, 5238, 269, 9314, 666, 581, 3989, 607, 519, 7443, 519, 4871, 814, 1500, 538, 2132, 585, 891, 1489, 543, 2883, 3255, 563, 289, 1678, 9314, 26162, 454, 1607, 7443, 267, 602, 568, 267, 519, 1719, 2557, 949, 8428, 585, 1142, 4871, 543, 585, 1169, 9744, 3177, 676, 519, 4871, 269, 898, 666, 849, 581, 11117, 607, 519, 2179, 2016, 538, 3210, 547, 519, 946, 540, 2724, 4607, 689, 519, 4871, 269, 898, 568, 2009, 585, 713, 1719, 2557, 547, 4268, 4470, 593, 519, 9872, 610, 4871, 269, 634, 1699, 1533, 540, 519, 4346, 543, 519, 3664, 3144, 676, 519, 3844, 4871, 2047, 1860, 519, 8990, 540, 891, 1719, 3928, 563, 763, 8569, 540, 519, 10211, 602, 519, 4871, 3947, 547, 519, 1268, 676, 4946, 513, 1978, 2179, 547, 519, 9030, 568, 6394, 607, 519, 1719, 13927, 269, 18766, 689, 519, 1292, 2724, 2016, 547, 519, 7606, 269, 634, 2179, 5462, 607, 519, 1719, 2557, 568, 11117, 936, 519, 6871, 2557, 269, 2473, 2600, 540, 519, 9030, 568, 2808, 607, 1719, 2557, 563, 19950, 15580, 543, 9537, 454, 763, 1719, 2557, 666, 581, 3989, 607, 519, 1871, 585, 2724, 946, 540, 519, 1871, 540, 513, 6871, 540, 519, 9030, 269, 1703, 616, 849, 1079, 2010, 540, 1719, 3928, 269, 634, 1101, 568, 1572, 519, 22194, 1719, 2557, 267, 1247, 519, 2034, 568, 1572, 519, 1483, 1719, 2557, 269, 11870, 1400, 1719, 2557, 568, 519, 2012, 2016, 547, 519, 1719, 3928, 1031, 543, 9307, 676, 8492, 543, 2147, 5238, 269, 2311, 519, 1482, 942, 267, 1719, 3928, 5462, 1759, 593, 10637, 543, 2804, 1239, 616, 1572, 1483, 1719, 3928, 563, 4322, 1719, 3928, 616, 3622, 11117, 12422, 269, 1717, 267, 2687, 547, 519, 3375, 540, 519, 4871, 610, 9872, 267, 972, 949, 849, 581, 606, 1719, 2557, 5462, 585, 513, 1978, 1974, 540, 519, 1032, 269, 634, 2557, 9307, 607, 519, 476, 277, 18881, 610, 476, 280, 18881, 1719, 2557, 568, 4570, 585, 519, 1974, 9138, 689, 519, 4266, 540, 23318, 269, 1717, 267, 952, 519, 4871, 610, 561, 2658, 9872, 1152, 6920, 519, 1719, 2557, 538, 1818, 1022, 7778, 267, 519, 9138, 2557, 568, 4570, 585, 835, 1032, 563, 1432, 616, 519, 18880, 18748, 532, 9314, 26162, 888, 19950, 3928, 949, 4268, 689, 4871, 547, 4871, 269, 901, 3510, 949, 4268, 4470, 593, 519, 3255, 3177, 676, 519, 4871, 269, 7201, 891, 2175, 267, 519, 1268, 543, 7606, 945, 786, 1491, 856, 12029, 4782, 519, 4871, 602, 3091, 1970, 543, 5078, 1719, 2557, 269, 1717, 267, 4470, 593, 519, 1826, 540, 10211, 267, 2687, 547, 519, 2883, 3510, 540, 519, 10211, 3593, 269, 4340, 547, 519, 8569, 1544, 543, 519, 2175, 540, 519, 4871, 610, 9872, 602, 9783, 519, 10211, 267, 891, 1719, 3928, 949, 849, 1689, 563, 2005, 568, 519, 1072, 5006, 1505, 547, 6218, 971, 2242, 1927, 543, 547, 6430, 593, 519, 9872, 547, 581, 3144, 5491, 269, 2755, 621, 568, 17149, 547, 4782, 513, 4871, 609, 513, 1360, 1970, 1719, 2557, 267, 621, 1058, 711, 581, 15763, 602, 519, 3255, 6035, 1996, 519, 1719, 2557, 949, 1689, 269, 10435, 606, 4977, 4879, 1759, 593, 519, 1826, 540, 10211, 547, 581, 3144, 543, 519, 2783, 540, 519, 1268, 269, 25547, 1516, 519, 10211, 786, 2333, 519, 1268, 779, 7443, 2557, 563, 4263, 519, 1482, 942, 267, 1142, 2197, 814, 606, 1719, 2557, 1305, 676, 519, 3844, 4871, 269, 24434, 3112, 9765, 610, 9765, 713, 1719, 2557, 269, 2755, 8159, 519, 1719, 2557, 267, 519, 3844, 4871, 2306, 606, 6268, 1759, 593, 519, 2197, 779, 4346, 543, 10637, 2557, 269, 4014, 519, 1719, 2557, 1500, 538, 713, 4287, 568, 2635, 543, 10853, 269, 2037, 1963, 782, 5238, 543, 8492, 5356, 12029, 547, 6430, 693, 513, 1978, 2557, 538, 1719, 3928, 563, 289, 1678, 9314, 26162, 0, 293, 2426, 2225, 568, 513, 5551, 2460, 540, 1022, 9304, 602, 6663, 547, 581, 513, 4558, 540, 1871, 267, 5420, 540, 5385, 267, 610, 1770, 540, 2272, 269, 769, 19116, 267, 9033, 2225, 568, 1271, 547, 4509, 26117, 540, 519, 9304, 779, 20049, 1464, 1063, 4559, 563, 25748, 267, 513, 1007, 1826, 540, 18351, 1634, 607, 1875, 1922, 2426, 1043, 21797, 630, 301, 10499, 338, 264, 723, 2097, 547, 519, 21282, 607, 606, 1271, 543, 2189, 10697, 602, 814, 930, 4277, 3156, 563, 1432, 22549, 3657, 32454, 888, 2304, 23088, 568, 9247, 513, 2189, 6041, 540, 606, 10697, 610, 1434, 538, 519, 1106, 540, 513, 5691, 18351, 269, 3414, 25563, 267, 789, 948, 547, 2357, 604, 22239, 6961, 9562, 543, 13597, 540, 606, 10697, 269, 1280, 1383, 267, 513, 5691, 4062, 540, 1148, 1141, 519, 11247, 568, 18351, 1242, 543, 9562, 540, 519, 18351, 2047, 10452, 9562, 540, 519, 4062, 540, 1148, 267, 1799, 583, 2406, 6740, 593, 519, 9893, 563, 301, 10499, 338, 616, 2189, 543, 3112, 581, 8719, 676, 1776, 6221, 269, 634, 6286, 540, 713, 538, 513, 7856, 5420, 1510, 21438, 6392, 616, 2647, 8151, 543, 786, 5512, 513, 2104, 1362, 540, 3059, 7221, 267, 689, 27847, 1242, 9562, 547, 2507, 0, 1607, 568, 513, 14167, 1576, 269, 1677, 2070, 543, 3651, 14167, 1576, 267, 596, 1590, 22010, 707, 2272, 454, 288, 4147, 568, 513, 2688, 1239, 1826, 269, 26643, 666, 2099, 811, 1950, 1239, 982, 9981, 610, 12673, 563, 12218, 525, 267, 538, 1840, 547, 8066, 1896, 3601, 267, 666, 849, 2270, 2409, 454, 288, 4357, 1505, 568, 835, 799, 666, 1152, 581, 1031, 1369, 519, 4147, 1141, 621, 568, 3989, 454, 288, 1857, 1505, 568, 835, 602, 568, 2139, 547, 3157, 3544, 540, 519, 4147, 3294, 454, 7476, 614, 2409, 616, 1857, 2409, 602, 1450, 3755, 547, 1224, 519, 1871, 540, 4357, 1362, 2818, 1510, 5356, 873, 519, 2702, 547, 7670, 1679, 891, 2418, 454, 13729, 1562, 616, 1857, 1569, 2409, 602, 1450, 3755, 547, 2328, 547, 4357, 3959, 4610, 269, 1452, 949, 2097, 609, 20038, 547, 2061, 3755, 689, 1603, 23380, 1239, 454, 300, 583, 2209, 616, 2409, 602, 1689, 519, 1871, 540, 519, 1843, 789, 616, 1572, 593, 454, 2690, 519, 1985, 1906, 4245, 267, 649, 786, 581, 1818, 513, 1950, 1297, 1362, 547, 9414, 519, 2035, 649, 4312, 4121, 454, 29002, 12980, 26398, 547, 938, 595, 11133, 1362, 454, 288, 5299, 4020, 528, 2636, 596, 547, 26134, 606, 1843, 676, 8429, 621, 883, 519, 4020, 528, 540, 519, 1482, 1362, 269, 769, 713, 3992, 649, 786, 1780, 513, 595, 11133, 547, 513, 1007, 595, 11133, 538, 1931, 547, 1118, 513, 26134, 540, 519, 3312, 563, 1805, 1738, 4147, 2409, 1577, 721, 1289, 2409, 2047, 593, 519, 4147, 267, 2864, 982, 593, 513, 1808, 8629, 540, 519, 4147, 0, 18154, 13585, 264, 2443, 3427, 1949, 1472, 519, 1158, 616, 21679, 609, 1018, 547, 827, 1053, 563, 6546, 779, 14356, 1317, 972, 779, 513, 3395, 7521, 936, 519, 2557, 693, 799, 1453, 666, 10141, 519, 11452, 547, 1142, 824, 543, 547, 4079, 563, 288, 1353, 689, 12670, 779, 4077, 924, 11233, 1336, 602, 1453, 949, 581, 1175, 607, 11763, 607, 4079, 563, 3719, 1896, 824, 2090, 723, 1336, 602, 1453, 798, 711, 2408, 547, 1404, 513, 2462, 1909, 538, 10825, 519, 3644, 563, 1103, 835, 1353, 538, 25611, 267, 3173, 1336, 602, 540, 476, 4375, 3214, 7783, 609, 519, 3644, 267, 538, 1152, 1614, 2665, 729, 1776, 1126, 519, 1101, 16143, 2013, 563, 288, 1353, 538, 3624, 602, 4553, 476, 6924, 1453, 609, 519, 3644, 267, 1336, 602, 476, 4792, 2693, 3893, 621, 689, 4079, 563, 1103, 1776, 1353, 538, 5333, 267, 513, 7911, 6534, 811, 982, 476, 3199, 1153, 10863, 563, 8253, 835, 26438, 519, 3644, 563, 5415, 689, 3733, 11947, 5522, 1622, 2593, 912, 268, 28626, 24273, 21048, 559, 11556, 585, 5763, 3454, 593, 2048, 738, 571, 2173, 11669, 320, 2231, 20371, 268, 1269, 1428, 5934, 13230, 782, 855, 4666, 538, 2462, 5046, 8323, 3915, 454, 268, 2782, 1067, 4365, 547, 1376, 4728, 454, 268, 17857, 1876, 16234, 7903, 585, 811, 23388, 585, 5075, 9584, 538, 918, 268, 1321, 3506, 454, 268, 7147, 3158, 779, 29040, 6643, 609, 7141, 5067, 2337, 7128, 5279, 1864, 538, 4630, 8336, 0, 288, 1007, 1867, 689, 7147, 589, 261, 300, 2160, 3173, 267, 3370, 538, 519, 7147, 4826, 4750, 267, 814, 1336, 602, 3246, 12418, 609, 834, 531, 1181, 894, 1055, 3613, 3195, 14450, 6703, 257, 1223, 6961, 5363, 538, 4227, 12526, 540, 2627, 7297, 269, 700, 12083, 616, 513, 1713, 2707, 540, 519, 32740, 4551, 602, 13822, 519, 3056, 2014, 540, 1216, 12526, 538, 519, 1533, 563, 29394, 781, 4063, 281, 901, 2022, 814, 1044, 22621, 547, 1397, 602, 519, 1353, 18808, 609, 1382, 593, 4244, 1055, 3613, 3195, 1216, 267, 711, 2436, 12418, 13572, 1216, 563, 307, 1410, 553, 17650, 2317, 22881, 610, 2818, 949, 581, 20926, 610, 5018, 538, 938, 2984, 267, 610, 949, 581, 519, 1641, 540, 873, 269, 1280, 513, 2347, 1592, 540, 20334, 267, 4945, 1934, 269, 0, 24687, 689, 547, 17058, 5049, 616, 23345, 2630, 454, 2171, 3323, 519, 1554, 6236, 875, 547, 17250, 930, 1455, 3252, 971, 607, 13392, 267, 12945, 267, 12825, 267, 25066, 543, 2845, 3252, 563, 2171, 1287, 2808, 13392, 3252, 281, 3435, 267, 2188, 267, 3113, 267, 2347, 4009, 1106, 269, 1284, 5129, 513, 12805, 3014, 3769, 538, 519, 3758, 2630, 563, 288, 9577, 568, 513, 6310, 4341, 602, 3651, 338, 1152, 835, 3977, 547, 1142, 3403, 563, 4467, 22683, 3252, 616, 3252, 540, 3252, 563, 293, 17313, 949, 581, 7630, 633, 267, 1147, 11187, 267, 1979, 11187, 610, 9039, 540, 891, 563, 763, 1576, 3340, 602, 1053, 666, 1265, 519, 11201, 1599, 269, 901, 568, 519, 8086, 540, 519, 1599, 538, 519, 1899, 1535, 284, 344, 563, 21581, 6029, 875, 547, 2328, 513, 13392, 1599, 538, 2347, 4009, 1106, 269, 0, 763, 2160, 540, 853, 12448, 338, 262, 25756, 24665, 1807, 568, 1373, 1031, 607, 851, 540, 519, 20023, 2506, 3827, 5721, 1788, 267, 799, 6663, 547, 1232, 12365, 1047, 519, 3003, 13677, 5721, 18239, 676, 476, 10711, 276, 563, 9928, 2714, 880, 3744, 616, 2324, 547, 1379, 513, 5721, 676, 1210, 7250, 4492, 2281, 676, 519, 1439, 540, 476, 1708, 272, 269, 5741, 687, 7447, 602, 513, 4628, 2324, 17431, 2203, 786, 581, 10512, 676, 5437, 267, 543, 26813, 693, 29161, 779, 30505, 2918, 269, 634, 1788, 568, 1373, 3366, 676, 1488, 3712, 320, 6052, 267, 543, 621, 568, 12479, 602, 519, 3003, 13677, 5721, 18239, 786, 581, 1232, 12365, 1242, 676, 476, 10711, 276, 563, 7804, 269, 5484, 25595, 267, 519, 16628, 540, 1488, 3712, 320, 6052, 267, 814, 1164, 13922, 585, 519, 1764, 540, 713, 1788, 269, 1261, 1767, 267, 968, 22134, 4088, 20086, 1379, 3091, 513, 2922, 267, 6325, 267, 543, 4642, 28003, 4244, 585, 10430, 779, 7841, 3060, 563, 10527, 7250, 5721, 1788, 568, 606, 5140, 4316, 585, 2872, 3401, 538, 7250, 267, 7841, 4702, 267, 543, 3106, 547, 12840, 609, 13677, 2029 ]

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

[ 476, 272, 454, 337, 3287, 264, 815, 910, 11027, 274, 1107, 476, 274, 341, 273, 1107, 476, 274, 11027, 266, 272, 692, 341, 264, 533, 3287, 264, 815, 1535, 274, 1341, 476, 274, 343, 273, 1341, 476, 274, 343, 1341, 476, 272, 454, 326, 3287, 264, 815, 476, 276, 1341, 476, 273, 343, 454, 2252, 476, 276, 1341, 476, 273, 343, 815, 476, 271, 267, 1287, 476, 273, 343, 815, 910, 276, 454, 343, 815, 1107, 6695, 2765, 346, 276, 2410, 273, 28021, 335, 3287, 264, 815, 1535, 274, 1341, 476, 274, 343, 273, 1341, 476, 274, 343, 1341, 476, 272, 692, 2304, 2228, 14230, 11532, 9498, 2636, 596, 547, 3313, 519, 14230, 540, 2016, 9971, 7215, 676, 14230, 11532, 780, 9223, 476, 273, 563, 8340, 519, 14230, 950, 1535, 274, 1107, 4949, 273, 1341, 476, 277, 343, 1107, 513, 568, 5258, 676, 1535, 1107, 513, 563, 335, 3287, 264, 815, 1535, 274, 1107, 4949, 273, 1341, 476, 277, 343, 1107, 513, 454, 2252, 575, 3287, 264, 815, 1535, 1107, 513, 267, 1287, 678, 3287, 264, 815, 15017, 4131, 1535, 1107, 513, 815, 476, 271, 267, 1287, 1535, 815, 513, 454, 335, 3287, 264, 815, 1535, 274, 1107, 4949, 273, 1341, 476, 277, 343, 1107, 513, 454, 30043, 533, 5416, 264, 815, 630, 320, 264, 274, 1107, 513, 5416, 264, 273, 1341, 476, 277, 5416, 264, 1107, 513, 454, 284, 513, 274, 1107, 513, 274, 1341, 476, 277, 320, 1107, 513, 454, 30043, 533, 5416, 264, 815, 476, 276, 320, 454, 30043, 678, 3287, 264, 815, 533, 5416, 264, 815, 476, 276, 320, 780, 9223, 476, 274, 563, 13425, 2436, 476, 278, 1341, 476, 274, 343, 568, 513, 3815, 540, 476, 274, 343, 274, 1341, 476, 278, 343, 563, 343, 815, 1107, 6695, 2765, 346, 278, 2410, 274, 28021, 2080, 267, 678, 3287, 264, 815, 1107, 6695, 2765, 346, 276, 3445, 2410, 280, 6525, 269, 901, 568, 711, 3160, 547, 20023, 269, 9747, 476, 278, 1341, 476, 274, 343, 568, 711, 513, 3815, 540, 533, 3287, 1040 ]

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

[ 779, 20157, 4115, 540, 519, 5729, 13815, 538, 6284, 540, 1200, 23793, 2533, 693, 519, 2398, 3430, 7732, 267, 799, 3769, 606, 1310, 17469, 4099, 585, 22768, 12322, 5356, 6780, 6351, 543, 2852, 543, 4876, 13508, 269, 15917, 6577, 4607, 513, 645, 6993, 269, 689, 17619, 2160, 543, 606, 631, 6993, 269, 543, 1912, 6185, 269, 689, 519, 23958, 7732, 3427, 540, 519, 2160, 540, 9628, 269, 0, 268, 476, 1789, 5130, 267, 476, 1708, 275, 454, 268, 3143, 22227, 454, 1103, 513, 1158, 1141, 10562, 3457, 616, 4742, 519, 2343, 267, 519, 5769, 540, 12085, 1496, 31166, 316, 4249, 513, 11358, 1909, 538, 5935, 938, 6639, 5251, 269, 3245, 5100, 5321, 547, 4853, 1949, 267, 14164, 16900, 26779, 3457, 547, 3986, 4398, 1299, 13418, 269, 1717, 267, 609, 713, 2799, 14479, 2501, 513, 10296, 6161, 1107, 519, 991, 585, 7347, 3354, 538, 14164, 3457, 563, 2026, 649, 9784, 519, 5736, 540, 5100, 3388, 267, 1620, 519, 4644, 540, 14164, 3587, 14063, 269, 898, 779, 711, 1175, 827, 5100, 27687, 1846, 14577, 938, 1753, 5210, 610, 8516, 3950, 619, 5464, 938, 3268, 269, 14164, 568, 519, 22449, 540, 2413, 1949, 267, 4838, 2358, 6080, 267, 3782, 1299, 3232, 1272, 269, 901, 10562, 1357, 814, 519, 1761, 547, 20928, 3157, 1299, 21592, 938, 2298, 540, 2713, 563, 21953, 267, 519, 1360, 25872, 602, 2306, 14164, 3532, 849, 27875, 621, 547, 3354, 4220, 269, 634, 811, 3457, 5968, 267, 519, 3152, 519, 13438, 547, 6880, 6937, 269, 901, 5036, 519, 3942, 585, 519, 2565, 991, 547, 6830, 1518, 14164, 3457, 1996, 1761, 3354, 23563, 269, 634, 4161, 6013, 538, 11495, 513, 3666, 1063, 519, 2640, 540, 513, 4448, 1158, 1299, 519, 16122, 547, 16102, 938, 3457, 1299, 1239, 563, 27735, 540, 14164, 27620, 8232, 454, 1103, 519, 7706, 540, 14164, 267, 1141, 3457, 16900, 5968, 267, 519, 2956, 540, 7347, 3354, 3112, 581, 936, 26061, 269, 2913, 779, 2263, 519, 2565, 3344, 602, 5031, 1946, 17516, 14164, 3457, 568, 711, 1175, 513, 13390, 1081, 855, 513, 13766, 563, 305, 529, 802, 1299, 31664, 540, 8232, 6601, 2851, 454, 268, 22452, 547, 15536, 21784, 338, 281, 1306, 3457, 32144, 267, 789, 1930, 18817, 585, 6880, 6937, 269, 3245, 796, 10461, 2213, 1569, 547, 1239, 12879, 267, 519, 8552, 540, 4220, 568, 5318, 269, 15536, 322, 3234, 10904, 15407, 16426, 267, 5732, 18731, 519, 8699, 540, 1239, 1299, 10342, 563, 268, 4578, 6601, 2851, 1299, 21041, 31700, 281, 8232, 23563, 1419, 1291, 547, 796, 10461, 2213, 1569, 1299, 1239, 20984, 269, 769, 606, 14164, 5251, 267, 1141, 2123, 1299, 6213, 1344, 568, 22121, 267, 519, 4539, 540, 513, 1239, 21556, 8831, 3564, 2883, 9271, 269, 21041, 4145, 1831, 14063, 267, 7133, 3593, 3972, 1299, 6015, 563, 268, 2598, 8306, 540, 7896, 281, 589, 19847, 14164, 3926, 3884, 1406, 1175, 513, 3463, 547, 1239, 282, 621, 666, 7519, 3003, 1949, 269, 6787, 621, 779, 513, 5100, 2749, 5989, 610, 606, 4853, 1184, 267, 3354, 23563, 666, 26699, 4238, 267, 4929, 2883, 9271, 1299, 538, 2565, 2665, 267, 30286, 4220, 547, 1857, 3106, 563, 11754, 7675, 23977, 1676, 3809, 538, 4045, 539, 7010, 454, 268, 1160, 5562, 8232, 21474, 281, 1677, 11574, 4220, 267, 513, 14942, 1935, 547, 3354, 568, 2629, 269, 901, 3322, 7114, 16426, 1354, 789, 666, 581, 23699, 269, 8617, 3354, 32116, 1299, 1981, 10526, 948, 538, 1620, 519, 9687, 3463, 5251, 563, 268, 24344, 5071, 1299, 4886, 281, 20074, 3354, 689, 519, 2666, 909, 568, 4105, 269, 24344, 8193, 2853, 1299, 15984, 547, 3354, 4441, 1282, 519, 1646, 5123, 666, 3648, 2569, 16426, 269, 901, 1935, 5849, 602, 3457, 616, 25167, 1996, 1761, 6937, 1318, 689, 741, 27299, 563, 268, 21664, 1299, 6176, 19457, 281, 769, 519, 6422, 5251, 540, 14590, 267, 5698, 568, 1883, 269, 19457, 1344, 827, 6932, 6937, 1299, 16426, 2337, 519, 14164, 2146, 3251, 6619, 540, 1761, 4220, 269, 898, 11942, 513, 7104, 4674, 547, 6830, 1518, 519, 10562, 5117, 563, 1103, 9759, 267, 2369, 2358, 519, 4220, 1299, 4539, 540, 3354, 23563, 538, 14164, 3457, 568, 519, 1101, 1900, 2509, 2870, 513, 5150, 1299, 14388, 10562, 1158, 269, 1635, 5466, 16426, 30082, 1299, 5807, 5698, 267, 649, 666, 6330, 519, 2591, 1299, 2327, 602, 519, 2640, 540, 14164, 3136, 547, 10802, 938, 2729, 1510, 18731, 938, 3354, 563, 7659, 21784, 338, 547, 14164, 27620, 8232, 454, 15650, 540, 15536, 21784, 338, 454, 1103, 519, 6946, 1357, 540, 4448, 3457, 267, 1620, 519, 1585, 6880, 6937, 568, 11358, 547, 6830, 4328, 14164, 3354, 269, 2913, 779, 2263, 519, 3309, 2039, 540, 4220, 602, 10460, 2591, 547, 519, 8699, 540, 14164, 8134, 563, 268, 9324, 658, 6361, 4149, 16291, 1496, 2710, 306, 316, 5900, 2931, 281, 15536, 31487, 8267, 332, 14164, 3457, 609, 6808, 267, 17021, 873, 24835, 762, 540, 8647, 269, 901, 7519, 338, 2533, 1299, 538, 2565, 3871, 267, 666, 1291, 547, 1062, 14286, 563, 268, 5689, 2264, 1299, 681, 22095, 2264, 281, 5689, 5534, 3301, 22467, 6233, 3457, 267, 18731, 741, 10342, 610, 17278, 532, 1239, 2394, 513, 26030, 568, 6976, 269, 901, 13514, 513, 12242, 3463, 267, 18363, 3926, 2773, 1299, 5732, 4929, 1239, 2530, 563, 268, 2494, 2987, 7308, 5336, 1497, 1496, 300, 527, 300, 316, 5900, 2931, 281, 769, 14600, 300, 6285, 267, 6880, 322, 3234, 10904, 18448, 1299, 7369, 2792, 1063, 3457, 267, 11543, 796, 10461, 2213, 1569, 547, 6213, 1239, 269, 901, 1826, 540, 4323, 568, 3226, 7282, 538, 10562, 1949, 563, 268, 661, 2314, 323, 549, 6137, 1299, 4578, 3955, 4003, 281, 1133, 5913, 3293, 2792, 9055, 1118, 14164, 3457, 11630, 547, 552, 2314, 323, 549, 6137, 269, 31105, 619, 666, 18448, 1299, 13861, 1239, 267, 30286, 3978, 7834, 1299, 3354, 4220, 563, 268, 27620, 1975, 334, 1993, 532, 1299, 6764, 3205, 566, 281, 1635, 13147, 10107, 519, 3961, 540, 16048, 3457, 267, 6880, 322, 3234, 10904, 666, 2744, 796, 10461, 2213, 1569, 269, 901, 10741, 519, 7450, 547, 1239, 12879, 267, 796, 10461, 2213, 1852, 1299, 1761, 1062, 14207, 563, 16032, 13756, 585, 27116, 1005, 14164, 20905, 454, 28319, 823, 24956, 1709, 1299, 11638, 29969, 24956, 1709, 1496, 300, 11902, 2639, 268, 16237, 28517, 27620, 14740, 281, 7605, 755, 3926, 17452, 5849, 602, 1152, 2278, 2213, 3457, 666, 1569, 519, 14164, 3060, 269, 901, 3322, 7598, 5150, 17452, 10873, 1299, 2853, 563, 268, 31514, 8232, 609, 11638, 29969, 24956, 1709, 1496, 300, 11902, 13912, 17006, 606, 3063, 4494, 540, 17452, 998, 3818, 29969, 2409, 267, 971, 607, 1979, 6248, 338, 610, 835, 6066, 18538, 267, 3648, 10240, 9094, 3926, 3354, 563, 21886, 11736, 16257, 338, 585, 4578, 8232, 454, 20376, 1005, 4578, 538, 3690, 527, 1299, 693, 10163, 281, 20074, 2178, 14238, 10873, 5849, 602, 1239, 22121, 1063, 3457, 1299, 6740, 593, 873, 3788, 14804, 269, 901, 28863, 1996, 796, 10461, 2213, 1569, 1299, 1239, 23563, 563, 19894, 12229, 5455, 30098, 1299, 674, 3305, 2264, 24727, 454, 5141, 3151, 23977, 1676, 3809, 3414, 5455, 30098, 281, 8617, 10311, 15429, 3354, 16426, 1299, 3986, 3926, 6043, 269, 26787, 2312, 6109, 2264, 4507, 5849, 602, 3457, 2611, 909, 3562, 15082, 609, 519, 5767, 3354, 15649, 563, 15187, 1740, 8232, 21474, 281, 9605, 31486, 1299, 2271, 337, 4288, 24544, 454, 20376, 1005, 9442, 932, 2335, 1564, 281, 9605, 31486, 957, 607, 513, 11064, 1996, 796, 10461, 2213, 1569, 267, 7863, 14164, 3457, 689, 5007, 6937, 269, 2271, 337, 4288, 7020, 1949, 8362, 6895, 3060, 2238, 267, 16326, 1299, 14775, 547, 1761, 3354, 23563, 563, 1103, 513, 5251, 678, 1057, 609, 6880, 6937, 267, 7598, 891, 1655, 2853, 3587, 16122, 585, 6830, 4328, 14164, 3457, 1996, 1761, 4220, 269, 1635, 9363, 21713, 1299, 12561, 513, 3818, 2000, 599, 1229, 3354, 1935, 267, 649, 666, 6330, 519, 9687, 3463, 5251, 1299, 2327, 519, 8699, 540, 10562, 1949, 563, 16498, 8232, 19047, 454, 27735, 540, 24344, 10434, 2264, 5071, 454, 1103, 519, 7706, 540, 14164, 267, 4180, 3354, 4422, 3564, 3059, 28863, 269, 634, 1360, 5748, 6013, 538, 519, 2168, 8699, 540, 519, 3457, 269, 2913, 779, 5490, 883, 1946, 5150, 8800, 1374, 568, 513, 13274, 577, 11017, 538, 17420, 4448, 1949, 563, 268, 16473, 532, 1133, 10461, 2213, 7457, 281, 24344, 8800, 1374, 20964, 7496, 547, 2168, 23984, 27128, 267, 555, 23702, 532, 8942, 547, 2744, 796, 10461, 2213, 1569, 269, 901, 568, 2629, 538, 5054, 1141, 519, 2168, 3354, 540, 3457, 568, 513, 3119, 6161, 563, 268, 27986, 18830, 681, 27654, 7177, 281, 589, 1134, 27059, 8800, 6189, 2306, 621, 4101, 585, 17351, 11051, 547, 9258, 11653, 519, 3926, 267, 4180, 602, 519, 4835, 25029, 2611, 513, 9856, 539, 5728, 563, 25363, 13586, 23111, 704, 17272, 1211, 17972, 454, 268, 23618, 532, 1299, 29594, 532, 547, 23111, 27128, 281, 23111, 704, 17272, 1211, 2934, 4196, 607, 513, 2699, 9206, 267, 1129, 16226, 1022, 3801, 547, 15936, 609, 519, 3926, 269, 901, 2636, 585, 16190, 7020, 1299, 3210, 267, 19086, 1761, 4220, 563, 268, 31514, 10055, 1464, 281, 1635, 6220, 2934, 602, 2594, 1299, 1867, 23984, 27128, 8942, 267, 14164, 3457, 666, 3180, 2043, 18177, 585, 796, 10461, 2213, 2168, 1569, 267, 2870, 513, 15658, 1370, 1996, 17351, 3527, 563, 7468, 643, 2329, 31700, 538, 14164, 454, 25911, 3496, 4578, 14635, 1299, 14871, 3117, 550, 454, 1103, 519, 10562, 1158, 540, 14164, 267, 1239, 10173, 10342, 267, 855, 11495, 513, 3666, 1063, 5647, 1299, 7834, 568, 14063, 269, 2913, 779, 2263, 875, 713, 10347, 11466, 666, 581, 9738, 563, 268, 7799, 1746, 4578, 14635, 547, 3026, 947, 885, 281, 14164, 3457, 1058, 2445, 1152, 519, 1239, 2556, 585, 741, 5497, 10342, 267, 6922, 2358, 519, 1981, 540, 16662, 30102, 4598, 1299, 1761, 21568, 563, 268, 26875, 2358, 14871, 3117, 550, 281, 3690, 10337, 568, 1883, 269, 20305, 1058, 581, 5483, 827, 1018, 1239, 568, 1373, 6394, 1299, 585, 1018, 3483, 269, 5136, 8877, 8763, 9844, 5849, 602, 3755, 723, 1852, 936, 741, 1239, 563, 28444, 1005, 3690, 8001, 21041, 24727, 454, 268, 13068, 9442, 540, 21041, 13756, 281, 14164, 9755, 1299, 3028, 7426, 1058, 2226, 12001, 7834, 4507, 267, 5693, 13994, 6819, 875, 3593, 1239, 568, 17411, 267, 6740, 1299, 6870, 563, 268, 25085, 532, 20305, 609, 6513, 281, 21278, 3755, 609, 2645, 547, 4383, 741, 7834, 5468, 16877, 873, 547, 1118, 5483, 3664, 827, 519, 1239, 789, 616, 6899, 4687, 267, 5807, 513, 2631, 540, 3972, 538, 14164, 8134, 563, 1103, 519, 19427, 540, 2168, 1299, 3059, 26441, 267, 17516, 8800, 1374, 1299, 5466, 7834, 4145, 1831, 7533, 3334, 269, 1635, 6830, 4328, 519, 2168, 8699, 540, 3457, 1299, 18245, 3593, 7834, 267, 649, 666, 2327, 602, 519, 9153, 540, 14164, 568, 1483, 2213, 1510, 18731, 3354, 610, 1102, 2590, 532, 593, 2123, 1239, 563, 26581, 787, 11621, 1299, 22769, 454, 1103, 519, 2479, 21608, 5251, 540, 14164, 267, 20170, 547, 3964, 3354, 4441, 568, 2629, 547, 2679, 513, 14388, 1299, 22973, 5117, 269, 2913, 779, 2263, 519, 1883, 4441, 602, 2482, 519, 5748, 585, 17516, 4448, 1949, 563, 268, 18869, 270, 296, 4488, 476, 17734, 4905, 281, 901, 3486, 3044, 6212, 593, 1344, 3354, 2359, 1949, 267, 3246, 513, 3102, 5943, 585, 5883, 3354, 4220, 269, 4706, 3498, 547, 14164, 5849, 513, 9836, 1935, 547, 17420, 1239, 563, 268, 715, 8780, 15536, 9798, 17563, 281, 31603, 676, 519, 2817, 4659, 540, 11621, 1299, 5303, 1496, 301, 8780, 3910, 713, 5943, 3091, 4808, 1299, 1655, 2853, 547, 3986, 14590, 6043, 269, 1520, 17518, 547, 715, 8780, 3741, 11226, 538, 2870, 513, 7347, 20237, 1996, 6880, 6937, 538, 14164, 5054, 563, 268, 14164, 8232, 7690, 1496, 296, 334, 4811, 293, 13912, 1306, 513, 1875, 17416, 13539, 267, 594, 334, 4811, 293, 6663, 547, 3715, 1299, 3895, 1655, 2853, 585, 17516, 14164, 269, 11374, 594, 334, 4811, 293, 4808, 5849, 513, 10319, 1299, 2872, 17253, 1935, 547, 5466, 519, 2189, 3354, 2591, 15054, 676, 10562, 3457, 563, 4467, 20869, 609, 22769, 1299, 12501, 5874, 454, 268, 4937, 4578, 10466, 19938, 1496, 294, 7894, 305, 13912, 28597, 609, 12654, 305, 568, 14063, 950, 7231, 609, 3593, 1239, 269, 23496, 602, 14164, 3457, 15666, 547, 12654, 305, 3741, 267, 971, 607, 1239, 6922, 1436, 1299, 3593, 9844, 267, 568, 1898, 547, 2057, 3656, 4539, 563, 268, 8549, 11485, 1299, 8191, 1436, 5004, 5358, 1496, 293, 539, 305, 21283, 13912, 3487, 21871, 4143, 585, 14164, 3457, 1031, 538, 2229, 8658, 267, 12658, 305, 21283, 5036, 4441, 585, 3354, 4879, 1299, 28431, 269, 19793, 1324, 12658, 305 ]

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

[ 476, 1704, 692, 20132, 19560, 476, 277, 1496, 271, 3910, 2016, 281, 476, 275, 692, 2162, 8058, 16193, 692, 3066, 3057, 476, 1001, 274, 267, 476, 1704, 281, 1321, 454, 289, 684, 3241, 5206, 912, 278, 269, 5590, 589, 5161, 540, 737, 3982, 2338, 269, 1403, 562, 2338, 616, 5697, 689, 519, 1305, 835, 8386, 14633, 267, 1141, 562, 27045, 330, 267, 1018, 568, 519, 5506, 602, 2338, 786, 581, 5697, 538, 26799, 1931, 2496, 263, 272, 264, 5590, 589, 5161, 540, 476, 1321, 1256, 15654, 9981, 3248, 263, 273, 264, 562, 284, 276, 780, 2171, 1058, 1174, 1739, 1079, 1919, 912, 272, 269, 634, 5506, 540, 8939, 1022, 562, 2338, 689, 519, 1305, 568, 519, 1482, 269, 4208, 1058, 1022, 15410, 540, 562, 2338, 723, 2362, 610, 2539, 5506, 540, 1373, 5697, 982, 930, 824, 15410, 540, 562, 2338, 286, 17438, 3085, 1405, 3870, 1022, 1880, 15410, 780, 273, 269, 3767, 267, 2015, 602, 519, 15410, 5697, 568, 6695, 346, 343, 318, 272, 267, 1422, 1535, 318, 273, 267, 1422, 10371, 1421, 1422, 1535, 5332, 315, 6525, 267, 1141, 3230, 343, 318, 272, 283, 343, 318, 273, 283, 1862, 283, 343, 5332, 21974, 1284, 666, 2824, 713, 15410, 540, 2338, 538, 3230, 333, 256, 2330, 1948, 540, 2081, 543, 856, 540, 891, 562, 256, 2081, 1152, 835, 267, 12077, 6695, 346, 343, 318, 272, 267, 1422, 1535, 318, 273, 267, 1422, 10371, 1421, 1422, 1535, 5332, 315, 6525, 786, 581, 538, 26799, 1931, 269, 1924, 476, 272, 856, 540, 562, 256, 269, 3230, 303, 7807, 2765, 346, 272, 2410, 333, 256, 6525, 780, 17798, 267, 2687, 547, 519, 1657, 519, 1152, 3364, 649, 991, 547, 917, 547, 2626, 519, 2243, 568, 519, 2450, 540, 519, 15410, 630, 333, 264, 649, 616, 8939, 689, 1305, 589, 780, 26980, 782, 10484, 514, 713, 2630, 2147, 2243, 1384, 288, 11176, 2319, 814, 476, 4200, 5716, 269, 3962, 6345, 814, 513, 7833, 1297, 689, 476, 272, 547, 476, 4200, 543, 1100, 1079, 5716, 2671, 519, 1482, 1297, 269, 1879, 11176, 2259, 7475, 267, 782, 519, 5716, 2196, 1055, 519, 2361, 835, 8386, 14633, 538, 513, 4625, 4351, 6073, 269, 1548, 568, 519, 5506, 602, 519, 1101, 2185, 5716, 1055, 519, 2361, 786, 4734, 538, 1931, 540, 2810, 7833, 2338, 630, 324, 3052, 1421, 1948, 273, 267, 1287, 1948, 277, 267, 1287, 1948, 6858, 267, 1287, 1948, 7761, 267, 31756, 264, 26042, 10490, 264, 476, 272, 270, 5038, 454, 16360, 264, 476, 272, 270, 4366, 454, 18154, 264, 476, 272, 270, 3607, 454, 20573, 264, 476, 272, 270, 2190, 454, 27887, 264, 476, 272, 270, 1626, 692, 5591, 269, 540, 2081, 538, 799, 476, 275, 1004, 666, 4734, 519, 2361, 1775, 4318, 269, 3143, 269, 540, 2081, 540, 25786, 476, 275, 1004, 815, 476, 275, 256, 815, 476, 2190, 692, 11073, 540, 891, 476, 2190, 2081, 267, 972, 568, 1152, 835, 1259, 538, 799, 789, 616, 538, 26799, 1931, 780, 3383, 267, 5506, 815, 476, 272, 270, 2190, 692, 514, 713, 1657, 3070, 1946, 972, 568, 1100, 1909, 540, 2698, 5716, 2073, 328, 4318, 1421, 476, 4200, 7790, 286, 2496, 20132, 19560, 476, 277, 1496, 271, 3910, 2016, 281, 476, 275, 692, 12421, 454, 16274, 281, 476, 1556, 3057, 476, 1001, 274, 454, 15803, 281, 476, 279, 692, 20132, 19560, 476, 277, 1496, 272, 3910, 2016, 281, 476, 1556, 692, 2162, 8058, 16193, 692, 6021, 4455, 476, 1001, 274, 267, 476, 6021, 281, 5379, 454, 272, 454, 298, 11070, 5308, 454, 289, 684, 3241, 5206, 912, 275, 269, 2986, 519, 476, 6812, 2550, 540, 20539, 15282, 11233, 267, 476, 3393, 723, 27442, 1013, 22785, 269, 1215, 1082, 540, 519, 2550, 723, 1035, 5268, 14113, 2496, 307, 4459, 344, 2243, 780, 263, 272, 264, 634, 1297, 540, 2550, 540, 20539, 15282, 11233, 945, 723, 1312, 27442, 1013, 22785, 543, 1035, 5268, 14113, 568, 519, 1482, 607, 519, 1297, 540, 2550, 945, 723, 9444, 27442, 1013, 22785, 6862, 1035, 5268, 14113, 269, 2422, 5595, 1606, 564, 5119, 912, 16920, 16670, 912, 309, 1068, 15282, 26666, 454, 2026, 596, 666, 1294, 1948, 540, 2550, 945, 814, 1035, 5268, 14113, 568, 476, 6812, 268, 3393, 284, 1724, 269, 2672, 2310, 780, 263, 273, 264, 476, 3953, 2550, 540, 20539, 15282, 11233, 723, 27442, 1013, 22785, 855, 711, 1035, 5268, 14113, 269, 22682, 13385, 780, 28989, 547, 11145, 596, 645, 684, 3241, 267, 855, 1946, 10093, 1405, 596, 2808, 538, 707, 5119, 519, 2013, 1141, 1004, 666, 723, 1035, 19745, 14113, 855, 711, 27442, 1013, 1993, 14113, 286, 1403, 596, 1039, 513, 1007, 1651, 1758, 924, 972, 630, 2280, 781, 2161, 834, 344, 19823, 1101, 3948, 568, 13385, 543, 596, 1131, 991, 519, 2034, 835, 547, 4194, 519, 1966, 269, 7316, 568, 1250, 4661, 17528, 2496, 20132, 19560, 476, 277, 1496, 272, 3910, 2016, 281, 476, 1556, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 275, 1240, 11152, 692, 20132, 19560, 476, 12553, 279, 2420, 1496, 271, 3910, 2016, 281, 476, 13199, 10695, 692, 2162, 8058, 16193, 692, 1321, 4455, 476, 1001, 274, 267, 476, 4962, 281, 5392, 454, 13434, 984, 7534, 5206, 912, 289, 684, 3241, 5206, 912, 275, 269, 2986, 519, 476, 6812, 2550, 540, 20539, 15282, 11233, 267, 476, 3393, 723, 27442, 1013, 22785, 269, 1215, 1082, 540, 519, 2550, 723, 1035, 5268, 14113, 2496, 307, 4459, 344, 2243, 780, 263, 272, 264, 634, 1297, 540, 2550, 540, 20539, 15282, 11233, 945, 723, 1312, 27442, 1013, 22785, 543, 1035, 5268, 14113, 568, 519, 1482, 607, 519, 1297, 540, 2550, 945, 723, 9444, 27442, 1013, 22785, 6862, 1035, 5268, 14113, 269, 2422, 5595, 1606, 564, 5119, 912, 16920, 16670, 912, 763, 13613, 20539, 15282, 26666, 568, 1100, 3476, 2139, 454, 2026, 596, 666, 1294, 1948, 540, 2550, 945, 814, 1035, 5268, 14113, 568, 476, 6812, 268, 3393, 284, 1724, 269, 2672, 2310, 780, 263, 273, 264, 476, 3953, 2550, 540, 20539, 15282, 11233, 723, 27442, 1013, 22785, 855, 711, 1035, 5268, 14113, 269, 22682, 13385, 780, 28989, 547, 11145, 596, 645, 684, 3241, 267, 855, 1946, 10093, 1405, 596, 2808, 538, 707, 5119, 519, 2013, 1141, 1004, 666, 723, 1035, 19745, 14113, 855, 711, 27442, 1013, 1993, 14113, 286, 1403, 596, 1039, 513, 1007, 1651, 1758, 924, 972, 630, 2280, 781, 2161, 834, 344, 19823, 1101, 3948, 568, 13385, 543, 596, 1131, 991, 519, 2034, 835, 547, 4194, 519, 1966, 269, 7316, 568, 1250, 4661, 17528, 2496, 291, 19302, 1606, 564, 5119, 814, 782, 2665, 2009, 269, 634, 2013, 596, 616, 6158, 827, 568, 2699, 4216, 2630, 912, 16920, 16670, 1384, 308, 660, 12822, 26666, 1496, 476, 277, 269, 5379, 27411, 289, 1923, 7348, 539, 476, 14341, 274, 2053, 23378, 3719, 649, 1810, 1405, 991, 621, 547, 1205, 519, 2626, 780, 28775, 621, 781, 2312, 563, 6303, 318, 692, 20132, 19560, 476, 12553, 279, 2420, 1496, 271, 3910, 2016, 281, 476, 13199, 10695, 692, 12421, 454, 16274, 281, 476, 2764, 4239, 476, 1001, 273, 454, 15803, 281, 476, 273, 692, 20132, 19560, 1496, 271, 3910, 2016, 281, 476, 274, 692, 2162, 8058, 16193, 692, 1321, 4455, 476, 1001, 274, 267, 476, 1704, 281, 6078, 454, 289, 684, 3241, 5206, 912, 278, 269, 5590, 589, 5161, 540, 737, 3982, 2338, 269, 1403, 562, 2338, 616, 5697, 689, 519, 1305, 835, 8386, 14633, 267, 1141, 562, 27045, 330, 267, 1018, 568, 519, 5506, 602, 2338, 786, 581, 5697, 538, 26799, 1931, 2496, 263, 272, 264, 5590, 589, 5161, 540, 476, 1321, 1256, 15654, 9981, 3248, 263, 273, 264, 562, 284, 276, 780, 2171, 1058, 1174, 1739, 1079, 1919, 912, 272, 269, 634, 5506, 540, 8939, 1022, 562, 2338, 689, 519, 1305, 568, 519, 1482, 269, 4208, 1058, 1022, 15410, 540, 562, 2338, 723, 2362, 610, 2539, 5506, 540, 1373, 5697, 982, 930, 824, 15410, 540, 562, 2338, 286, 17438, 3085, 1405, 3870, 1022, 1880, 15410, 780, 273, 269, 3767, 267, 2015, 602, 519, 15410, 5697, 568, 6695, 346, 343, 318, 272, 267, 1422, 1535, 318, 273, 267, 1422, 10371, 1421, 1422, 1535, 5332, 315, 6525, 267, 1141, 3230, 343, 318, 272, 283, 343, 318, 273, 283, 1862, 283, 343, 5332, 21974, 1284, 666, 2824, 713, 15410, 540, 2338, 538, 3230, 333, 256, 2330, 1948, 540, 2081, 543, 856, 540, 891, 562, 256, 2081, 1152, 835, 267, 12077, 6695, 346, 343, 318, 272, 267, 1422, 1535, 318, 273, 267, 1422, 10371, 1421, 1422, 1535, 5332, 315, 6525, 786, 581, 538, 26799, 1931, 269, 1924, 476, 272, 856, 540, 562, 256, 269, 3230, 303, 7807, 2765, 346, 272, 2410, 333, 256, 6525, 780, 17798, 267, 2687, 547, 519, 1657, 519, 1152, 3364, 649, 991, 547, 917, 547, 2626, 519, 2243, 568, 519, 2450, 540, 519, 15410, 630, 333, 264, 649, 616, 8939, 689, 1305, 589, 780, 529, 660, 519, 2626, 667, 267, 1317, 649, 917, 689, 3948, 589, 602, 972, 616, 476, 1321, 3688, 538, 519, 1305, 286, 2186, 14621, 692, 20132, 19560, 1496, 271, 3910, 2016, 281, 476, 274, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 275, 1240, 11152, 692, 20132, 19560, 476, 12553, 279, 2420, 1496, 271, 3910, 2016, 281, 476, 13199, 10695, 692, 2162, 8058, 16193, 692, 1724, 4455, 476, 1001, 274, 267, 476, 6734, 281, 4391, 454, 289, 684, 3241, 5206, 912, 278, 269, 5590, 589, 5161, 540, 737, 3982, 2338, 269, 1403, 562, 2338, 616, 5697, 689, 519, 1305, 835, 8386, 14633, 267, 1141, 562, 27045, 330, 267, 1018, 568, 519, 5506, 602, 2338, 786, 581, 5697, 538, 26799, 1931, 2496, 263, 272, 264, 5590, 589, 5161, 540, 476, 1321, 1256, 15654, 9981, 3248, 263, 273, 264, 562, 284, 276, 780, 2171, 1058, 1174, 1739, 1079, 1919, 912, 272, 269, 634, 5506, 540, 8939, 1022, 562, 2338, 689, 519, 1305, 568, 519, 1482, 269, 4208, 1058, 1022, 15410, 540, 562, 2338, 723, 2362, 610, 2539, 5506, 540, 1373, 5697, 982, 930, 824, 15410, 540, 562, 2338, 286, 17438, 3085, 1405, 3870, 1022, 1880, 15410, 780, 273, 269, 3767, 267, 2015, 602, 519, 15410, 5697, 568, 6695, 346, 343, 318, 272, 267, 1422, 1535, 318, 273, 267, 1422, 10371, 1421, 1422, 1535, 5332, 315, 6525, 267, 1141, 3230, 343, 318, 272, 283, 343, 318, 273, 283, 1862, 283, 343, 5332, 21974, 1284, 666, 2824, 713, 15410, 540, 2338, 538, 3230, 333, 256, 2330, 1948, 540, 2081, 543, 856, 540, 891, 562, 256, 2081, 1152, 835, 267, 12077, 6695, 346, 343, 318, 272, 267, 1422, 1535, 318, 273, 267, 1422, 10371, 1421, 1422, 1535, 5332, 315, 6525, 786, 581, 538, 26799, 1931, 269, 1924, 476, 272, 856, 540, 562, 256, 269, 3230, 303, 7807, 2765, 346, 272, 2410, 333, 256, 6525, 780, 17798, 267, 2687, 547, 519, 1657, 519, 1152, 3364, 649, 991, 547, 917, 547, 2626, 519, 2243, 568, 519, 2450, 540, 519, 15410, 630, 333, 264, 649, 616, 8939, 689, 1305, 589, 780, 529, 660, 519, 2626, 667, 267, 1317, 649, 917, 689, 3948, 589, 602, 972, 616, 476, 1321, 3688, 538, 519, 1305, 286, 2186, 14621, 692, 5591, 267, 519, 2626, 568, 645, 269, 634, 2450, 540, 519, 1305, 568, 711, 2614, 267, 1247, 519, 2450, 540, 519, 15410, 568, 563, 6303, 318, 692, 20132, 19560, 476, 12553, 279, 2420, 1496, 271, 3910, 2016, 281, 476, 13199, 10695, 692, 10048, 4526, 454, 16274, 281, 476, 1691, 5463, 476, 1001, 273, 454, 15803, 281, 476, 8064, 692, 20132, 19560, 476, 1626, 1496, 271, 3910, 2016, 281, 476, 5908, 692, 19613, 281, 2136, 2276, 692, 2162, 8058, 16193, 692, 1556, 2904, 476, 1001, 274, 267, 476, 1428, 281, 6349, 454, 289, 684, 3241, 5206, 912, 273, 269, 1403, 562, 568, 513, 2318, 8870, 543, 533, 568, 513, 6305, 1297, 267, 568, 533, 513, 3815, 540, 562, 256, 2496, 263, 272, 264, 533, 568, 513, 3815, 540, 630, 333, 266, 273, 25631, 268, 333, 256, 25341, 952, 3230, 333, 284, 273, 2330, 1287, 30967, 333, 266, 273, 25631, 268, 333, 256, 284, 2420, 2330, 543, 585, 3230, 335, 284, 273, 2330, 1287, 2626, 786, 581, 962, 2464, 855, 585, 3230, 335, 284, 1556, 2330, 519, 2626, 786, 581, 12971, 269, 3502, 6190, 780, 263, 273, 264, 533, 568, 513, 3815, 540, 630, 333, 266, 273, 264, 24425, 333, 256, 25341, 6695, 2765, 18950, 333, 266, 273, 25631, 2410, 333, 256, 13157, 263, 333, 266, 272, 7565, 333, 266, 273 ]

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

[ 0, 8005, 4024, 3503, 3776, 3778, 286, 281, 4414, 4593, 1478, 532, 513, 26726, 25201, 689, 519, 32160, 717, 2867, 1729, 454, 1103, 476, 3707, 271, 267, 538, 519, 6014, 575, 2867, 1729, 540, 13303, 268, 31039, 32160, 267, 519, 14470, 14787, 661, 28609, 23580, 601, 4565, 636, 3964, 513, 804, 663, 32347, 14046, 3919, 1572, 519, 744, 344, 10864, 1744, 629, 525, 547, 2594, 519, 2833, 540, 519, 575, 2867, 1729, 781, 11317, 269, 1280, 1614, 1296, 267, 2818, 540, 519, 744, 344, 928, 321, 1744, 629, 525, 5249, 538, 5728, 547, 12225, 1834, 519, 2729, 540, 554, 1495, 699, 1091, 540, 5215, 607, 789, 11124, 27781, 267, 2068, 267, 543, 1244, 677, 566, 676, 519, 21647, 269, 10374, 569, 1354, 519, 32160, 575, 2867, 1729, 729, 7962, 1221, 543, 986, 7458, 538, 476, 3707, 274, 267, 519, 744, 344, 10864, 1744, 629, 525, 12617, 5215, 540, 6054, 689, 713, 7372, 21287, 538, 5144, 23691, 543, 17646, 10833, 267, 4180, 602, 519, 5639, 543, 2528, 540, 513, 798, 15701, 1004, 1131, 7979, 770, 519, 3646, 540, 741, 14763, 547, 16563, 873, 269, 1955, 701, 764, 2406, 21503, 543, 8499, 8903, 267, 15656, 667, 269, 918, 817, 578, 781, 5808, 4024, 3503, 3776, 3778, 286, 6645, 519, 13249, 1650, 540, 23580, 601, 4565, 636, 543, 1010, 24123, 8990, 547, 946, 3140, 14172, 547, 8190, 519, 3965, 540, 513, 12219, 1004, 563, 5804, 519, 11780, 28980, 7160, 563, 1432, 1004, 616, 6031, 910, 3503, 513, 2689, 454, 18800, 281, 5808, 4024, 3503, 3776, 3778, 286, 281, 4414, 4593, 1478, 532, 513, 26726, 25201, 689, 519, 32160, 717, 2867, 1729, 27165, 5623, 910, 918, 2001, 577, 1731, 910, 6153, 1348, 338, 454, 25802, 13395, 267, 594, 6415, 711, 2386, 594, 9364, 4363, 713, 1433, 547, 519, 13680, 5467, 609, 513, 12863, 7279, 538, 1565, 827, 519, 14195, 269, 901, 568, 711, 513, 4358, 1448, 585, 14195, 1382, 269, 12846, 267, 835, 666, 2995, 602, 713, 1434, 729, 513, 11668, 540, 2648, 543, 23939, 21503, 269, 3367, 2407, 2689, 454, 18800, 281, 5808, 4024, 3503, 3776, 3778, 286, 281, 4414, 4593, 1478, 532, 513, 26726, 25201, 689, 519, 32160, 717, 2867, 1729, 27165, 5623, 910, 795, 14493, 910, 6153, 1348, 338, 454, 296, 666, 1405, 2161, 621, 1732, 982, 8834, 16019, 1705, 538, 519, 1715, 6243, 281, 834, 1607, 949, 1134, 581, 519, 1034, 1271, 1433, 827, 1686, 602, 4896, 786, 2479, 1224, 269, 898, 568, 849, 513, 1360, 1271, 1433, 540, 1686, 3267, 3367, 2407, 2689, 454, 5226, 328, 20527, 322, 686, 571, 711, 516, 1277, 334, 790, 7790, 281, 15776, 21517, 3813, 337, 11726, 5052, 5918, 575, 2867, 1729, 632, 24430, 810, 341, 773, 454, 21579, 3241, 667, 269, 918, 817, 578, 454, 5591, 12744, 2139, 910, 476, 1001, 272, 454, 763, 654, 1137, 540, 20121, 2315, 281, 634, 10435, 543, 27915, 540, 519, 13303, 19004, 454, 5591, 12744, 2139, 910, 476, 1220, 279, 0, 1432, 1772, 12409, 15557, 888, 14807, 1049, 15557, 568, 513, 2165, 4294, 547, 1153, 4218, 5928, 602, 11441, 547, 1711, 2318, 1689, 538, 3872, 3609, 543, 3157, 269, 634, 1739, 2376, 11828, 12409, 15557, 543, 930, 540, 519, 5107, 602, 2069, 3401, 6445, 269, 12140, 5356, 4065, 910, 31044, 15557, 5232, 666, 849, 581, 1336, 538, 891, 2442, 5079, 563, 1432, 568, 12409, 15557, 888, 14807, 1049, 15557, 4016, 547, 7245, 5107, 693, 3506, 267, 9945, 543, 824, 3872, 5238, 602, 979, 3564, 2757, 2359, 543, 11889, 4247, 269, 12409, 3401, 616, 8036, 547, 4434, 543, 2087, 3872, 1949, 610, 5238, 269, 12409, 3401, 2356, 616, 6964, 607, 1153, 21246, 1023, 610, 16984, 855, 1491, 593, 3606, 5107, 267, 971, 607, 8257, 11381, 610, 4081, 632, 534, 563, 31262, 540, 12409, 15557, 454, 14807, 1049, 3401, 960, 547, 2087, 3872, 5752, 269, 1358, 16926, 543, 4383, 3610, 543, 5234, 267, 5965, 23348, 267, 1305, 6437, 4441, 543, 1305, 1153, 17253, 3609, 269, 1358, 1522, 960, 593, 2319, 2679, 3646, 610, 1964, 4450, 519, 3919, 547, 1860, 2556, 1689, 269, 3509, 3872, 3401, 616, 3238, 609, 3609, 1646, 610, 6963, 2152, 7231, 609, 2069, 593, 519, 2199, 267, 1533, 610, 3084, 1377, 563, 22512, 619, 538, 12409, 15557, 454, 22512, 619, 538, 12409, 15557, 666, 581, 1336, 693, 782, 2157, 540, 2069, 267, 689, 840, 17469, 1982, 19971, 547, 4081, 632, 753, 693, 9945, 269, 2311, 519, 2852, 610, 6280, 1377, 267, 3872, 3401, 616, 6964, 607, 8257, 23107, 267, 18942, 19971, 610, 6437, 19971, 269, 2311, 10026, 543, 6281, 3506, 267, 3872, 3401, 960, 607, 21246, 1023, 267, 13930, 21246, 1023, 267, 18942, 19971, 267, 2212, 5733, 1562, 267, 1291, 3610, 610, 632, 753, 269, 4033, 3872, 3401, 960, 609, 14223, 2516, 267, 25211, 2516, 610, 824, 1875, 17416, 3919, 593, 2870, 610, 6963, 532, 3609, 543, 3872, 1949, 563, 14807, 1049, 15557, 4065, 15789, 454, 14807, 1049, 15557, 3292, 616, 2356, 6035, 693, 519, 10927, 1377, 269, 1452, 3292, 8366, 9457, 540, 12409, 15557, 610, 1912, 6185, 269, 538, 12409, 15557, 5232, 269, 6732, 3292, 616, 849, 6035, 676, 1896, 5238, 269, 15789, 3382, 519, 3069, 543, 2259, 540, 2069, 267, 519, 1909, 540, 2069, 538, 2486, 267, 3450, 2409, 267, 6530, 267, 1153, 1876, 543, 2029, 1031, 538, 3872, 5468, 563, 2414, 3136, 15388, 267, 19584, 4110, 3681, 2630, 585, 1576, 6437, 267, 23944, 28987, 543, 2883, 5351, 1344, 269, 2107, 267, 1451, 811, 827, 519, 1641, 676, 2542, 519, 1644, 4930, 2630, 281, 0, 23813, 296, 297, 5058, 267, 8734, 269, 476, 1626, 630, 311, 514, 327, 10224, 564, 264, 4534, 3624, 786, 1121, 324, 5501, 519, 3259, 540, 519, 4279, 9931, 3710, 538, 30721, 19092, 630, 15793, 279, 268, 13932, 275, 1070, 609, 519, 948, 540, 7098, 517, 2246, 545, 6552, 15392, 2029, 267, 1767, 18681, 808, 328, 267, 1244, 14280, 23122, 24932, 1968, 540, 3624, 4279, 9931, 4659, 1934, 13723, 563, 313, 28702, 1767, 513, 1982, 593, 2649, 1947, 5619, 532, 519, 4279, 9931, 609, 6552, 15392, 2029, 729, 1500, 543, 9516, 607, 15164, 676, 4966, 563, 763, 1982, 786, 1683, 606, 4977, 3259, 540, 519, 4279, 9931, 267, 799, 729, 3710, 676, 4457, 1101, 17169, 1627, 1231, 6062, 16852, 836, 267, 543, 32206, 543, 22058, 730, 538, 30721, 19092, 563, 763, 1699, 2268, 540, 519, 4279, 9931, 267, 799, 568, 476, 278, 1789, 271, 12919, 267, 568, 2693, 711, 513, 1360, 4977, 835, 1813, 547, 519, 5266, 18807, 7893, 3937, 543, 2409, 538, 519, 2250, 267, 1767, 18681, 563, 3891, 1767, 519, 1982, 786, 711, 1152, 2709, 519, 4890, 3259, 540, 519, 1158, 4898, 267, 855, 666, 849, 1683, 5961, 540, 922, 2949, 11768, 267, 799, 568, 1713, 547, 519, 11091, 540, 713, 2686, 882, 545, 269, 0, 293, 6150, 896, 281, 4317, 7827, 267, 21816, 324, 1359, 1923, 16193, 281, 1453, 267, 13091, 267, 2069, 267, 6820, 8070, 267, 27425, 267, 4477, 1756, 267, 24770, 267, 21816, 324, 1359, 454, 1607, 568, 1776, 3888, 618, 538, 938, 3126, 540, 4930, 593, 24749, 538, 27425, 267, 5697, 689, 519, 4930, 2854, 585, 938, 16311, 609, 4477, 1756, 543, 6820, 8070, 269, 3367, 938, 1101, 2376, 5542, 543, 811, 4282, 1934, 563, 3528, 6754, 20514, 454, 294, 1516, 942, 593, 513, 17319, 4493, 568, 835, 2318, 1259, 649, 666, 4217, 1004, 267, 1519, 1453, 267, 547, 25580, 741, 3885, 267, 2729, 543, 2950, 267, 543, 2285, 873, 4126, 585, 519, 2104, 269, 901, 10516, 540, 942, 267, 1256, 607, 2370, 607, 1079, 4374, 267, 568, 2523, 1271, 585, 1004, 538, 513, 2197, 899, 27425, 1141, 267, 936, 1079, 1296, 2094, 922, 3854, 543, 4478, 2127, 941, 10032, 676, 513, 2101, 13091, 543, 1310, 3333, 4169, 267, 936, 835, 543, 513, 3368, 2929, 15602, 1869, 2661, 538, 2695, 531, 528, 538, 17895, 4872, 543, 519, 6299, 1076, 540, 10032, 5321, 543, 2950, 563, 26536, 531, 294, 1516, 568, 513, 1875, 17416, 17493, 13539, 267, 799, 6212, 2390, 8744, 1927, 538, 835, 1747, 3785, 602, 2154, 15321, 948, 269, 769, 27425, 267, 891, 3785, 2039, 689, 4543, 547, 13599, 1453, 547, 4742, 3238, 538, 519, 9568, 8323, 543, 16646, 3785, 602, 616, 1869, 18418, 2299, 2877, 585, 1004, 538, 513, 30635, 3042, 2197, 945, 1419, 3100, 547, 581, 723, 1044, 16618, 676, 519, 3544, 1158, 563, 31094, 958, 267, 538, 4758, 1079, 4374, 15321, 942, 594, 1131, 1445, 2390, 519, 16646, 3785, 269, 769, 1880, 267, 594, 1131, 6999, 547, 7119, 538, 1346, 3785, 1644, 547, 519, 16646, 540, 519, 2197, 779, 1216, 267, 19455, 543, 21137, 1949, 267, 543, 547, 1683, 519, 2200, 543, 1344, 547, 5512, 519, 20951, 1014, 1004, 547, 2149, 2933, 676, 1625, 4328, 519, 1216, 789, 946, 543, 4235, 563, 763, 2601, 594, 1131, 3442, 713, 1788, 547, 2285, 1250, 942, 547, 568, 602, 519, 2551, 540, 27425, 267, 799, 14754, 16042, 3368, 513, 2929, 7972, 1739, 519, 13091, 543, 1310, 3333, 4169, 267, 543, 5176, 1614, 2053, 602, 1297, 1373, 1500, 15602, 814, 267, 2094, 5239, 476, 1001, 271, 267, 1044, 538, 519, 17945, 540, 1776, 5732, 14603, 31685, 267, 713, 1373, 606, 12176, 540, 932, 565, 5028, 269, 901, 12176, 568, 267, 2687, 547, 13744, 1656, 6350, 540, 519, 7754, 1977, 2657, 25944, 267, 968, 821, 540, 519, 4102, 26601, 5028, 8623, 12515, 538, 2413, 1686, 547, 1860, 513, 2582, 2197, 3034, 2414, 4266, 267, 936, 3368, 513, 2929, 1004, 538, 27425, 723, 26438, 932, 565, 5028, 543, 1472, 476, 1220, 1007, 2665, 616, 1373, 4080, 1169, 1554, 267, 513, 1297, 799, 568, 2693, 547, 15583, 622, 1282, 27425, 779, 24925, 4005, 538, 4989, 269, 4014, 519, 2557, 540, 7972, 814, 1044, 4389, 998, 519, 3646, 540, 5351, 8041, 267, 519, 1297, 540, 932, 565, 5028, 28896, 538, 27425, 568, 1869, 11173, 547, 4473, 269, 901, 1797, 602, 2943, 811, 3237, 538, 27425, 616, 9561, 741, 1453, 267, 610, 31705, 268, 951, 320, 267, 543, 3885, 945, 723, 2907, 11124, 519, 2530, 540, 6068, 3283, 616, 1373, 16271, 547, 2943, 811, 16236, 269, 1717, 267, 3170, 1275, 568, 711, 519, 1152, 12343, 540, 932, 565, 5028, 269, 932, 565, 5028, 666, 1267, 538, 1970, 1973, 2604, 543, 8459, 3441, 563, 2005, 666, 849, 581, 5293, 3362, 676, 606, 7783, 1268, 547, 1866, 267, 2523, 538, 513, 2197, 899, 27425, 1141, 19455, 2175, 2611, 513, 1966, 1739, 519, 13091, 563, 1103, 7262, 2950, 267, 649, 2490, 593, 512, 2355, 609, 519, 22059, 602, 2501, 609, 519, 1702, 602, 519, 1216, 649, 4235, 814, 1044, 29881, 269, 1284, 616, 4313, 539, 676, 519, 1249, 602, 19455, 543, 21137, 1949, 786, 30817, 1216, 25645, 2068, 602, 1522, 581, 5739, 547, 938, 1072, 269, 4634, 950, 7727, 616, 22314, 267, 649, 723, 519, 1797, 543, 1702, 547, 1625, 1518, 938, 1216, 3761, 538, 519, 1753, 563, 763, 2551, 540, 27425, 1281, 711, 723, 891, 635, 325, 2176, 543, 6015, 269, 634, 13091, 538, 476, 1001, 271, 10032, 1034, 540, 519, 2197, 779, 19455, 543, 21137, 5989, 269, 4634, 1082, 1004, 945, 2661, 538, 519, 811, 6917, 2127, 616, 1896, 5195, 689, 513, 2973, 1216, 3761, 269, 634, 19774, 543, 15602, 267, 945, 2611, 538, 519, 27581, 10151, 512, 5034, 4872, 543, 6299, 1076, 538, 2127, 899, 5800, 268, 879, 6261, 337, 1550, 267, 2899, 519, 13049, 538, 27425, 779, 13862, 267, 616, 7142, 547, 5531, 1216, 689, 1022, 2139, 2707, 267, 799, 1419, 1797, 30077, 956, 543, 824, 7727, 540, 4764, 1216, 602, 814, 1044, 13572, 676, 21137, 543, 824, 1216, 25645, 12178, 269, 3509, 540, 891, 1004, 798, 711, 723, 519, 7482, 610, 1569, 547, 3937, 543, 7254, 3202, 2472, 547, 581, 2111, 547, 2973, 572, 519, 1216, 789, 946, 585, 5986, 267, 28876, 543, 6704, 563, 4517, 6350, 779, 1867, 8761, 602, 4352, 3646, 616, 1373, 1500, 547, 11177, 519, 19455, 5989, 538, 27425, 267, 891, 616, 9991, 530, 4141, 2685, 2110, 540, 1018, 568, 2877, 267, 543, 602, 621, 786, 1942, 1472, 1269, 272, 269, 272, 5479, 547, 4020, 543, 1020, 519, 2371, 543, 1949, 602, 786, 1683, 519, 1004, 540, 27425, 609, 513, 2973, 1216, 3761, 563, 2005, 568, 585, 891, 4128, 602, 24749, 1079, 4374, 540, 942, 267, 610, 1256, 3476, 267, 547, 4217, 609, 713, 1858, 540, 16646, 1131, 581, 865, 1271, 269, 1403, 891, 1079, 4374, 2569, 519, 2557, 540, 932, 565, 5028, 3968, 676, 4557, 1004, 513, 1554, 267, 4557, 13538, 1131, 10300, 557, 519, 1699, 9860, 540, 519, 2068 ]

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

[ 2033, 642, 20294, 640, 7397, 616, 4122, 3254, 538, 3872, 8874, 593, 27795, 11707, 630, 325, 13904, 1806, 1331, 519, 12135, 30820, 293, 781, 834, 309, 20294, 640, 257, 314, 278, 316, 543, 834, 293, 1495, 4442, 14362, 540, 10046, 257, 676, 19578, 4659, 540, 10281, 14989, 3194, 314, 279, 316, 6393, 1012, 16930, 9443, 692, 2162, 17224, 517, 2246, 923, 692, 1103, 7098, 19392, 267, 519, 12740, 3892, 936, 513, 13113, 13617, 949, 581, 4114, 13846, 676, 14322, 602, 1142, 10126, 540, 519, 13617, 814, 513, 10859, 19899, 9548, 911, 4979, 642, 29448, 3297, 621, 269, 898, 568, 1287, 2009, 547, 4194, 585, 519, 4222, 540, 519, 642, 677, 1182, 1210, 519, 21205, 602, 972, 581, 1100, 2095, 13251, 998, 519, 2627, 540, 519, 13617, 269, 901, 5650, 568, 1572, 519, 642, 29448, 8470, 1505, 540, 12985, 5714, 6384, 269, 634, 9342, 540, 519, 642, 677, 1182, 616, 1287, 2040, 4364, 547, 1265, 519, 2698, 16977, 10009, 827, 519, 13617, 269, 4340, 547, 519, 918, 583, 3279, 1700, 297, 537, 330, 22603, 11532, 267, 12740, 568, 519, 1587, 540, 10009, 267, 2011, 14588, 539, 267, 543, 2011, 5860, 780, 2162, 27321, 9443, 692, 763, 3448, 642, 20294, 640, 568, 519, 642, 20294, 640, 540, 519, 2011, 6991, 2361, 3448, 547, 519, 3047, 269, 901, 568, 1419, 24018, 607, 513, 1079, 8820, 2095, 6252, 547, 519, 2666, 267, 865, 602, 519, 3448, 642, 20294, 640, 6152, 568, 3622, 13902, 547, 519, 2666, 267, 543, 666, 1287, 581, 9763, 607, 513, 22185, 7274, 267, 2318, 950, 519, 6152, 2798, 16057, 267, 2942, 950, 621, 2798, 1524, 2072, 269, 4475, 267, 642, 20294, 640, 568, 2318, 950, 519, 2842, 7140, 4831, 12641, 1442, 3772, 630, 331, 8504, 1524, 5196, 519, 3047, 781, 2627, 1040, 769, 519, 8832, 25955, 267, 2318, 642, 20294, 640, 568, 1572, 7814, 4577, 10047, 267, 543, 2942, 642, 20294, 640, 568, 1884, 5390, 743, 4577, 10047, 282, 519, 562, 32393, 1155, 568, 20328, 538, 519, 8828, 25955, 780, 763, 6207, 642, 20294, 640, 568, 17223, 689, 519, 2011, 6991, 3448, 547, 606, 16931, 658, 7406, 267, 543, 4061, 2882, 513, 2165, 1813, 547, 519, 3047, 781, 10047, 267, 519, 4856, 2723, 529, 9936, 780, 763, 1761, 642, 20294, 640, 568, 6207, 642, 20294, 640, 5258, 676, 519, 7299, 19437, 1063, 2157, 540, 3586, 23811, 630, 528, 1761, 2837, 1040, 634, 6207, 642, 20294, 640, 540, 606, 2011, 2527, 786, 1689, 952, 519, 2011, 2527, 568, 21401, 630, 528, 19316, 264, 538, 519, 1990, 4287, 267, 855, 519, 1761, 642, 20294, 640, 568, 24721, 538, 606, 740, 328, 629, 1738, 2095, 267, 799, 2392, 558, 7149, 538, 519, 5790, 269, 634, 1761, 642, 20294, 640, 568, 4061, 3730, 607, 606, 16977, 911, 1356, 540, 2011, 13999, 936, 519, 2053, 7051, 540, 513, 1906, 2395, 267, 3226, 950, 9763, 593, 2157, 540, 3586, 23811, 780, 763, 3046, 32430, 642, 20294, 640, 3830, 568, 519, 14724, 1259, 585, 20925, 519, 3350, 540, 17664, 2421, 6329, 630, 7474, 568, 267, 519, 512, 893, 338, 543, 31393, 540, 476, 4335, 1109, 327, 25508, 2520, 18821, 1113, 4463, 264, 936, 513, 3908, 2179, 540, 942, 630, 320, 1906, 2395, 1040, 769, 519, 476, 4198, 271, 338, 267, 519, 1101, 3811, 3292, 585, 10230, 4365, 20925, 8246, 602, 3830, 780, 1103, 2413, 10230, 4365, 20925, 3631, 543, 2489, 10009, 3631, 630, 294, 13967, 781, 1070, 642, 20294, 640, 949, 581, 835, 540, 519, 10567, 4632, 267, 538, 799, 2013, 519, 7222, 942, 17466, 3830, 568, 513, 1322, 333, 8251, 3830, 780, 13900, 30008, 540, 519, 2011, 5163, 568, 1271, 538, 20925, 2706, 3250, 338, 543, 519, 1761, 585, 14324, 19631, 2534, 780, 1012, 22108, 692, 272, 269, 17976, 11872, 689, 2160, 540, 6115, 454, 273, 269, 1849, 3599, 267, 700, 12282, 1421, 17224, 19392, 267, 8791, 476, 278, 269, 1556, 454, 274, 269, 918, 1495, 340, 623, 543, 28137, 594, 269, 29079, 23317, 269, 283, 339, 6374, 520, 18887, 521, 21683, 6889, 9556, 2544, 281, 290, 2787, 270, 5425, 272, 23995, 5138, 6983, 1087, 257, 20565, 339, 6374, 520, 18887, 11417, 275, 269, 4985, 547, 8330, 5268, 9713, 13937, 18868, 454, 276, 269, 15506, 3832, 3271, 267, 3296, 476, 276, 269, 273, 454, 277, 269, 808, 537, 28325, 20391, 715, 9950, 269, 630, 4489, 275, 1040, 834, 4002, 519, 5163, 540, 1216, 693, 513, 2490, 540, 513, 5757, 2668, 631, 622, 15122, 1127, 330, 4512, 590, 9799, 1731, 269, 476, 2764, 269, 283, 339, 6374, 520, 18887, 521, 21683, 6889, 9556, 2544, 281, 290, 2787, 270, 5425, 272, 23995, 5138, 6983, 1087, 257, 20565, 339, 6374, 520, 18887, 20101, 3115, 11781, 539, 538, 281, 11814, 539, 1568, 269, 476, 275, 269, 18293, 282, 700, 2287, 2784, 269, 476, 4350, 278, 269, 6032, 269, 1109, 4350, 1700, 21327, 267, 476, 23211, 1700, 22001, 630, 629, 5724, 538, 2296, 1040, 283, 339, 6374, 520, 18887, 521, 21683, 6889, 9556, 2544, 281, 290, 2787, 270, 5425, 272, 23995, 5138, 6983, 1087, 257, 20565, 339, 6374, 520, 18887, 285, 834, 23178, 6660, 990, 747, 781, 10581, 2580, 607, 808, 537, 28325, 20391, 4016, 713, 642, 20294, 640, 11281, 547, 267, 568, 1085, 3012, 1227, 3254, 538, 4137, 593, 2985, 476, 3422, 540, 11814, 539, 1568, 563, 278, 269, 2817, 9730, 585, 29079, 23317, 8606, 916, 454, 279, 269, 8606, 916, 676, 28865, 681, 1787, 2443, 4083, 16281, 2443, 10281, 4592, 7220, 1299, 7177, 0, 258, 27387, 281, 5606, 17802, 1082, 22136, 540, 519, 5311, 476, 274, 333, 1341, 476, 273, 692, 272, 269, 12361, 5606, 17802, 1082, 22136, 540, 519, 5311, 476, 274, 333, 1341, 476, 273, 692, 296, 6415, 2348, 8373, 609, 6029, 602, 972, 616, 28222, 1082, 22136, 538, 519, 5311, 476, 274, 333, 1341, 476, 273, 630, 663, 594, 9364, 849, 991, 547, 1246, 676, 16460, 547, 1018, 824, 9696, 666, 713, 4661, 581, 4294, 286, 2020, 14945, 296, 8263, 594, 1376, 1055, 676, 1577, 533, 272, 2999, 533, 273, 2999, 3267, 2999, 533, 330, 581, 513, 13113, 1592, 540, 22136, 540, 513, 519, 5311, 476, 274, 333, 1341, 273, 269, 3973, 849, 2913, 715, 815, 476, 274, 335, 272, 265, 335, 273, 265, 2807, 265, 335, 330, 1341, 476, 273, 780, 8253, 2386, 1141, 547, 979, 689, 1934, 2496, 323, 329, 3626, 692, 273, 269, 20323, 17397, 676, 546, 329, 3626, 454, 296, 6415, 2348, 8373, 609, 6029, 602, 972, 616, 28222, 1082, 22136, 538, 519, 5311, 476, 274, 333, 1341, 476, 273, 630, 663, 594, 9364, 849, 991, 547, 1246, 676, 16460, 547, 1018, 824, 9696, 666, 713, 4661, 581, 4294, 286, 2020, 14945, 296, 8263, 594, 1376, 1055, 676, 1577, 533, 272, 2999, 533, 273, 2999, 3267, 2999, 533, 330, 581, 513, 13113, 1592, 540, 22136, 540, 513, 519, 5311, 476, 274, 333, 1341, 273, 269, 3973, 849, 2913, 715, 815, 476, 274, 335, 272, 265, 335, 273, 265, 2807, 265, 335, 330, 1341, 476, 273, 780, 8253, 2386, 1141, 547, 979, 689, 1934, 2496, 323, 329, 3626, 692, 763, 1297, 4399, 6234, 715, 315, 25406, 476, 273, 315, 256, 315, 256, 315, 256, 315, 335, 7116, 476, 274, 259, 543, 2094, 519, 1587, 540, 22136, 4399, 6234, 533, 315, 25406, 476, 272, 315, 256, 315, 256, 315, 256, 315, 335, 7116, 476, 274, 259, 568, 1586, 540, 519, 1482, 1106, 267, 1287, 13718, 307, 517, 1470, 692, 274, 269, 20323, 17397, 676, 9522, 1470, 454, 763, 1297, 4399, 6234, 715, 315, 25406, 476, 273, 315, 256, 315, 256, 315, 256, 315, 335, 7116, 476, 274, 259, 543, 2094, 519, 1587, 540, 22136, 4399, 6234, 533, 315, 25406, 476, 272, 315, 256, 315, 256, 315, 256, 315, 335, 7116, 476, 274, 259, 568, 1586, 540, 519, 1482, 1106, 267, 1287, 13718, 307, 517, 1470, 454, 11293, 31014, 907, 1018, 8627, 2496, 275, 269, 1323, 2653, 1259, 547, 798, 713, 1131, 581, 547, 946, 667, 597, 747, 2280, 781, 11532, 593, 12980, 3356, 687, 269, 898, 7168, 1454, 3081, 602, 952, 6574, 1455, 27708, 540, 513, 543, 562, 568, 476, 272, 267, 1287, 972, 616, 28222, 1082, 22136, 540, 519, 1106, 513, 266, 526, 780, 1103, 707, 2013, 267, 476, 273, 543, 476, 274, 723, 513, 6574, 1455, 27708, 540, 476, 272, 267, 865, 519, 11532, 10039, 780, 276, 269, 20323, 17397, 676, 1183, 640, 334, 454, 2304, 2653, 1259, 547, 798, 713, 1131, 581, 547, 946, 667, 597, 747, 2280, 781, 11532, 593, 12980, 3356, 687, 269, 898, 7168, 1454, 3081, 602, 952, 6574, 1455, 27708, 540, 513, 543, 562, 568, 476, 272, 267, 1287, 972, 616, 28222, 1082, 22136, 540, 519, 1106, 513, 266, 526, 780, 1103, 707, 2013, 267, 476, 273, 543, 476, 274, 723, 513, 6574, 1455, 27708, 540, 476, 272, 267, 865, 519, 11532, 10039, 780, 296, 1810, 1405, 1589, 713, 568, 834, 1492, 2653, 1259, 257, 855, 2864, 519, 936, 26973, 1259, 281, 621, 781, 2312, 519, 20525, 18387, 1405, 6594, 270, 4754, 1405, 946, 667, 11053, 1421, 6382, 519, 2243, 568, 24735, 563, 291, 307, 568, 606, 1271, 7811, 1907, 267, 855, 18445, 2047, 602, 972, 616, 12808, 22136, 540, 1978, 1106, 666, 581, 2731, 24084, 2287, 267, 543, 713, 568, 4440, 1018, 519, 20525, 781, 2243, 568, 5921, 585, 563, 763, 20726, 568, 2016, 267, 543, 519, 20525, 16460, 834, 20482, 1862, 6343, 257, 4465, 1405, 2731, 1118, 513, 2603, 585, 1864, 17017, 547, 4194, 519, 1966, 269, 5502, 646, 24172, 1590, 1589, 513, 1247, 780, 307, 517, 1470, 692, 277, 269, 20323, 17397, 676, 546, 329, 3626, 454, 11293, 31014, 907, 1018, 8627, 888, 3674, 519, 1966, 602, 596, 798, 711, 917, 1018, 834, 263, 7116, 476, 274, 17983, 1797, 286, 0, 258, 2598, 4740, 9119, 5999, 543, 12226, 1107, 29491, 10789, 1107, 31016, 2795, 21476, 692, 1607, 1305, 540, 2598, 4740, 9119, 13038, 14893, 5999, 1299, 12226, 630, 10157, 17988, 264, 6212, 593, 968, 22517, 18978, 10789, 1107, 31016, 2795, 21476, 892, 780, 272, 269, 918, 2173, 777, 568, 1031, 585, 12223, 13090, 454, 320, 264, 7954, 6922, 1436, 454, 321, 264, 4082, 12366, 1436, 454, 322, 264, 2040, 2719, 540, 26027, 11353, 454, 323, 264, 7954, 10766, 5137, 692, 15008, 281, 918, 2173, 777, 29687, 4768, 823, 31016, 2795, 540, 13852, 22475, 538, 476, 4198, 274, 264, 568, 3989, 607, 513, 6516, 15122, 1505, 585, 7954, 6922, 1436, 543, 621, 568, 513, 3182, 3645, 2070, 540, 5168, 3349, 799, 2982, 519, 2078, 1063, 11378, 543, 3977, 269, 898, 568, 811, 3608, 982, 29491, 7223, 269, 918, 2173, 777, 568, 513, 6516, 1500, 909, 540, 10945, 538, 799, 1142, 4009, 4564, 513, 1295, 3410, 610, 3193, 3410, 540, 519, 7954, 1599, 780, 273, 269, 1677, 4159, 942, 538, 16749, 10473, 799, 3059, 5547, 568, 1031, 888, 320, 264, 5722, 10126, 1232, 18344, 454, 321, 264, 5216, 10126, 1958, 18344, 454, 322, 264, 476, 279, 281, 274, 2789, 343, 518, 454, 323, 264, 476, 280, 3787, 10126, 9920, 692, 15008, 281, 589, 5722, 10126, 1232, 18344, 568, 513, 3059, 5547, 799, 568, 1031, 547, 4020, 513, 1455, 1826, 540, 3059, 4159, 3926, 1775, 4318, 1421, 513, 1305, 540, 10896, 630, 528, 700, 7374, 264, 12415, 602, 4159, 2338, 689, 476, 271, 998, 476, 280, 693, 519, 4971, 540, 513, 2185, 19229, 3009, 269, 5047, 267, 519, 2623, 540, 519, 4159, 9920, 15096, 568, 6719, 676, 513, 5168, 3349, 609, 5722, 17016, 780, 274, 269, 22217, 1518, 519, 4082, 1210, 918, 2173, 2355, 281, 674, 10490, 32390, 267, 290, 267, 291, 6661, 394, 352, 630, 272, 267, 274, 267, 276, 267, 277, 267, 278, 267, 1556, 267, 1724, 267, 1691, 1916, 320, 264, 9474, 266, 6195, 685, 291, 266, 288, 685, 289, 685, 290, 454, 321, 264, 645, 7374, 685, 266, 288, 685, 290, 685, 291, 266, 9720, 20371, 322, 264, 589, 685, 291, 266, 6195, 291, 266, 288, 685, 6195, 266, 5723, 685, 290, 20371, 323, 264, 8028, 685, 291, 685, 266, 6195, 266, 288, 685, 9720, 266, 290, 685, 291, 685, 692, 15008, 281, 1635, 6061, 519, 2016, 4082, 649, 723, 1295, 614, 916, 971, 607, 589, 685, 291, 266, 6195, 291, 266, 288, 685, 6195, 266, 5723, 685, 290, 9957, 1924, 267, 649, 666, 1205, 519, 2838, 4082, 589, 685, 291, 266, 6195, 291, 266, 288, 685, 6195, 266, 5723, 685, 290, 685, 780, 275, 269, 1879, 8888, 513, 5547, 547, 900, 3634, 513, 5168, 3349, 267, 1312, 8605, 6361, 4149 ]

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

[ 2626, 685, 949, 581, 5219, 547, 607, 707, 2990, 267, 1543, 542, 267, 5098, 610, 1292, 4661, 269, 21894, 2165, 568, 1031, 267, 713, 568, 9247, 707, 3210, 547, 519, 1557, 2243, 267, 799, 568, 1759, 593, 519, 1382, 596, 723, 17298, 269, 634, 25759, 5037, 1590, 17412, 519, 1557, 563, 2252, 596, 616, 2731, 585, 930, 2601, 1603, 513, 476, 1911, 2262, 1557, 267, 1287, 596, 1058, 723, 835, 2110, 4845, 585, 1312, 707, 4367, 543, 3932, 269, 901, 1058, 2408, 2038, 538, 519, 5037, 543, 568, 1419, 267, 855, 711, 2141, 267, 519, 1101, 4845, 563, 2252, 596, 4782, 547, 1711, 606, 7291, 267, 2328, 707, 1888, 693, 519, 1283, 540, 519, 2985, 269, 3245, 972, 267, 2253, 547, 1592, 707, 1292, 2093, 267, 6028, 2230, 896, 1142, 835, 269, 769, 713, 2230, 267, 1118, 2386, 547, 1592, 824, 4130, 2093, 602, 9305, 547, 1142, 1292, 2856, 269, 23560, 713, 786, 1450, 596, 547, 1294, 4296, 543, 786, 948, 596, 547, 2328, 513, 811, 6896, 1557, 269, 274, 269, 7756, 2694, 616, 1459, 538, 1114, 2010, 540, 4081, 4574, 4586, 1432, 616, 519, 476, 276, 2694, 540, 606, 1557, 888, 763, 2947, 24733, 4588, 1557, 568, 513, 1106, 540, 1557, 2348, 2947, 9433, 281, 821, 2606, 5037, 2676, 22764, 1560, 9433, 609, 1489, 543, 1646, 267, 543, 563, 821, 25759, 5037, 563, 19352, 1614, 547, 2947, 3515, 4839, 4221, 1055, 689, 713, 1888, 543, 2328, 1524, 707, 1292, 2093, 693, 519, 7475, 540, 891, 3515, 269, 8571, 811, 3515, 1055, 891, 1292, 2093, 543, 1331, 1022, 4555, 596, 949, 723, 593, 891, 2093, 563, 3528, 2921, 1018, 779, 2907, 538, 707, 2212, 543, 8380, 621, 547, 1957, 267, 596, 616, 2111, 547, 1294, 4296, 543, 6402, 1063, 2093, 811, 5693, 269, 901, 2497, 5713, 607, 513, 5748, 1697, 1557, 3898, 1383, 585, 707, 1957, 269, 2422, 2901, 606, 7291, 610, 513, 6516, 547, 795, 582, 1524, 707, 2093, 543, 10891, 873, 269, 1677, 1711, 513, 6516, 267, 2328, 707, 1888, 538, 519, 1647, 540, 707, 2985, 269 ]

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

[ 12001, 10647, 6106, 269, 9282, 519, 14041, 568, 795, 698, 3022, 267, 519, 13250, 540, 6106, 2164, 538, 2531, 539, 3889, 602, 4755, 547, 18613, 519, 25487, 6438, 3889, 824, 3173, 723, 1044, 3384, 585, 1582, 268, 2193, 22135, 7252, 269, 1323, 3773, 4494, 540, 28920, 11131, 6675, 2306, 519, 2281, 5176, 2706, 5139, 5268, 11131, 281, 1216, 20256, 5066, 2059, 519, 2627, 267, 17444, 7452, 2476, 609, 873, 563, 4322, 6289, 617, 727, 3889, 711, 1152, 1065, 601, 1216, 267, 855, 948, 15972, 1769, 269, 5221, 789, 2461, 865, 1507, 1700, 12671, 476, 4335, 6289, 18852, 538, 8006, 1700, 1492, 6289, 617, 2345, 2170, 609, 1769, 538, 513, 3579, 1259, 267, 21716, 476, 11463, 2600, 540, 782, 1769, 689, 519, 18342, 547, 519, 22292, 269, 589, 6366, 3859, 1591, 1500, 689, 519, 1482, 2326, 25309, 1152, 476, 4792, 2600, 540, 1769, 538, 519, 1482, 3376, 8552, 269, 1924, 2484, 519, 2949, 1379, 7503, 4398, 540, 519, 2281, 568, 476, 276, 269, 280, 2600, 269, 634, 1291, 11001, 267, 18628, 2326, 2257, 7548, 962, 328, 595, 14241, 267, 3081, 891, 1273, 614, 940, 2553, 1223, 581, 4294, 547, 824, 3859, 2326, 269, 901, 960, 568, 4330, 2228, 538, 519, 4760, 30594, 16707, 563, 10481, 32015, 670, 15586, 6645, 721, 1946, 646, 779, 1631, 18901, 540, 519, 10509, 646, 5280, 1628, 454, 14881, 723, 10393, 23564, 1250, 5784, 593, 2436, 891, 1919, 616, 2469, 547, 581, 811, 10995, 982, 721, 3034, 30942, 16821, 568, 2469, 547, 1689, 2069, 267, 711, 6861, 621, 454, 763, 2239, 1472, 32533, 1053, 3085, 1406, 2995, 519, 2898, 1650, 269, 20821, 519, 3610, 945, 1589, 30462, 3642, 1223, 2965, 1118, 1565, 1732, 563, 25603, 519, 1004, 945, 946, 3502, 542, 547, 1544, 741, 2898, 2729, 454, 763, 9036, 1907, 779, 9029, 11498, 2484, 3564, 12180, 960, 3785, 269, 3509, 3755, 1265, 621, 779, 1175, 607, 3730, 585, 5883, 741, 1863, 942, 563, 13981, 547, 3009, 3884, 1406, 2614, 454, 30399, 267, 1451, 3562, 2275, 1712, 3646, 723, 3177, 3255, 585, 519, 1906, 267, 855, 1007, 3646, 616, 17935, 547, 581, 8537, 563, 7476, 519, 5767, 10311, 689, 454, 300, 3951, 5303, 5623, 454, 20524, 2027, 3091, 267, 1283, 2984, 267, 14232, 2621, 267, 543, 811, 269 ]

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

[ 611, 2381, 272, 269, 1440, 633, 331, 1137, 20481, 1440, 633, 331, 1137, 3890 ]

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

[ 17690, 538, 10370, 976, 267, 5333, 269, 898, 4667, 602, 5728, 7239, 941, 6537, 547, 13085, 8186, 899, 9932, 24643, 10987, 256, 1656, 7058, 1018, 286, 3807, 899, 19656, 28615, 2142, 2044, 267, 16629, 534, 13960, 5206, 14916, 827, 6154, 655, 21863, 2429, 1010, 1082, 1568, 780, 3383, 972, 596, 723, 621, 1107, 1079, 6909, 2984, 689, 1715, 3840, 4975, 781, 2250, 543, 3564, 269, 1452, 7415, 2043, 6961, 602, 3006, 267, 5168, 666, 8197, 581, 24928, 982, 5708, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20055, 2725, 19321, 744, 7838, 19534, 8627, 26008, 2336, 1103, 476, 6642, 280, 729, 4535, 538, 17857, 4975, 267, 17834, 7935, 15030, 718, 864, 2142, 2044, 267, 20366, 834, 763, 1158, 781, 7454, 589, 2758, 257, 538, 476, 4350, 275, 676, 519, 4139, 18289, 16514, 1401, 6570, 693, 24131, 267, 7977, 269, 7935, 269, 2142, 2044, 10443, 2476, 689, 1753, 607, 513, 1126, 547, 1831, 606, 17707, 26519, 9357, 513, 2235, 639, 269, 3571, 1101, 2816, 538, 8874, 729, 607, 513, 4775, 791, 3205, 1807, 269, 1261, 2968, 7074, 585, 1010, 1915, 5107, 269, 7935, 269, 2142, 2044, 20705, 547, 2349, 2033, 344, 561, 17690, 476, 27244, 540, 9628, 267, 14889, 267, 4371, 513, 476, 3953, 2554, 269, 589, 3008, 305, 267, 543, 20705, 547, 519, 1744, 9068, 269, 1261, 5747, 4989, 476, 1839, 267, 476, 3707, 280, 563, 1103, 476, 15094, 276, 693, 24131, 267, 7977, 267, 729, 4535, 7935, 269, 16902, 990, 28839, 717, 13519, 27622, 717, 12637, 30790, 16629, 534, 13960, 630, 528, 267, 16629, 534, 13960, 632, 1530, 532, 5306, 1070, 9976, 7969, 5856, 267, 7172, 4115, 267, 15599, 663, 19907, 267, 7045, 337, 267, 887, 326, 826, 267, 20759, 4115, 267, 17199, 543, 22342, 269, 18004, 547, 513, 1920, 540, 11051, 646, 729, 13473, 585, 519, 17913, 11856, 267, 6029, 5140, 2247, 543, 18854, 267, 2394, 646, 729, 30461, 585, 23215, 601, 748, 2623, 269, 1261, 9411, 6154, 655, 21863, 538, 10370, 976, 538, 476, 11260, 271, 269, 634, 14958, 1185, 2647, 9029, 585, 1864, 585, 1010, 12591, 616, 4904, 609, 8100, 547, 6154, 655, 21863, 267, 1443, 2358, 782, 2367, 7143, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 6124, 3840, 4975, 781, 7216, 13012, 257, 607, 851, 540, 834, 16300, 13493, 1315, 3778, 1315, 2136, 2276, 1315, 3557, 1299, 10871, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 476, 272, 269, 272, 9502, 540, 5398, 9314, 5303, 692, 5970, 596, 2479, 11074, 547, 1589, 827, 875, 2029, 5540, 938, 3232, 2729, 286, 3245, 519, 4090, 649, 12687, 909, 2394, 649, 979, 547, 5127, 267, 649, 2170, 609, 782, 12204, 540, 4066, 1107, 689, 16389, 543, 5904, 547, 6808, 8279, 543, 6173, 2209, 269, 1809, 1018, 4523, 950, 891, 2645, 2014, 2800, 610, 28511, 8635, 286, 2334, 779, 1141, 1857, 1719, 2029, 2501, 538, 780, 14276, 1719, 2029, 630, 303, 3951, 264, 568, 606, 15834, 2361, 602, 10905, 2930, 6791, 609, 1514, 5126, 2418, 547, 2232, 10296, 6848, 2152, 269, 898, 3322, 1210, 2029, 607, 513, 1907, 585, 1434, 267, 4180, 602, 3025, 814, 12581, 1569, 547, 922, 2640, 269, 623, 3951, 9439, 960, 593, 3785, 8151, 689, 3384, 3015, 7270, 585, 1004, 609, 9124, 547, 2870, 6620, 602, 8396, 2228, 18275, 269, 1358, 849, 12167, 585, 4507, 602, 3895, 5683, 10509, 2853, 267, 971, 607, 1239, 7834, 6042, 543, 3743, 3642, 1646, 780, 4131, 779, 2736, 1524, 930, 1883, 2474, 538, 519, 4214, 1384, 265, 2878, 11328, 13694, 4995, 623, 3951, 14405, 2390, 1702, 543, 1983, 689, 1585, 4610, 267, 1519, 2780, 2257, 267, 1374, 267, 15257, 267, 3609, 267, 543, 7881, 269, 901, 11455, 1935, 2636, 9439, 547, 10994, 1950, 2042, 676, 6236, 2789, 5380, 563, 265, 2878, 20007, 673, 16869, 1047, 4995, 1677, 3927, 4019, 2029, 2509, 2318, 1689, 267, 835, 1590, 1174, 922, 5817, 3741, 543, 7687, 269, 14502, 4966, 949, 4865, 5752, 1983, 267, 6310, 19038, 3363, 267, 610, 23440, 609, 8800, 3334, 269, 1717, 267, 789, 1058, 849, 5431, 741, 1378, 12886, 543, 11441, 547, 1451, 689, 3309, 16752, 563, 265, 2878, 12892, 10456, 18880, 4995, 2311, 922, 4295, 267, 623, 3951, 6663, 547, 2699, 816, 1379, 20817, 543, 4434, 9698, 269, 31943, 619, 4225, 12790, 2950, 685, 2115, 267, 4161, 11528, 15746, 267, 543, 10575, 3424, 9739, 1419, 16934, 689, 2757, 10509, 5624, 269, 1452, 2418, 1217, 1169, 2460, 540, 741, 960, 267, 689, 1788, 17748, 547, 6388, 563, 265, 2878, 303, 7675, 5081, 13926, 12983, 4995, 8693, 1689, 267, 3782, 13103, 267, 7292, 21440, 267, 543, 3059, 7941, 616, 1175, 513, 1906, 2591, 9619, 676, 623, 3951, 269, 1635, 2519, 593, 1483, 8996, 4145, 267, 9439, 2327, 741, 3646, 2611, 4143, 543, 26374, 780, 2414, 9414, 519, 2956, 540, 623, 3951, 267, 2015, 519, 1739, 9183, 281, 5994, 596, 616, 851, 540, 513, 2319, 8888, 513, 5985, 813, 5921, 547, 948, 3755, 1265, 10097, 8027, 3681, 538, 741, 2749, 269, 9453, 7311, 513, 623, 3951, 7828, 267, 596, 1522, 1445, 9003, 593, 10342, 267, 10714, 532, 2629, 2188, 899, 3593, 22097, 543, 1761, 7496, 547, 1569, 269, 1717, 267, 6220, 1514, 5126, 2418, 883, 707, 1374, 1184, 1223, 1291, 596, 547, 1384, 265, 18430, 1382, 593, 799, 16973, 1995, 2362, 3928, 540, 8425, 30826, 543, 12761, 267, 1287, 4225, 18071, 1592, 902, 972, 563, 265, 3550, 519, 813, 7028, 2789, 4654, 267, 1818, 621, 26729, 585, 1875, 30165, 10529, 945, 3068, 3606, 9465, 4466, 8027, 563, 265, 19308, 5955, 17787, 865, 3755, 666, 1867, 538, 3147, 340, 20874, 610, 30907, 1870, 2853, 1369, 7396, 3601, 267, 16779, 873, 547, 3180, 28867, 3581, 18177, 780, 3528, 16042, 713, 1966, 998, 513, 623, 3951, 5943, 267, 596, 711, 1152, 1711, 513, 811, 2500, 3070, 855, 849, 3565, 547, 6626, 3853, 540, 14619, 543, 13784, 780, 1103, 5758, 267, 1857, 1719, 2029, 568, 606, 3078, 2361, 602, 12388, 525, 6639, 1035, 18210, 609, 1514, 5539, 269, 3414, 4294, 1806, 543, 2565, 3206, 5751, 267, 2104, 11271, 786, 5490, 4514, 883, 1808, 2013, 2090, 15386, 623, 3951, 538, 2962, 269, 1924, 3251, 22934, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 14276, 9314, 15306, 281, 8865, 5525, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 272, 269, 9502, 540, 1857, 1719, 2029, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269, 0, 8080, 547, 938, 1007, 3184, 782, 827, 7756, 7007, 19019, 256, 901, 1797, 602, 649, 2811, 2469, 547, 1451, 827, 3450, 2409, 602, 948, 3025, 538, 519, 4928, 267, 1100, 2339, 1018, 741, 9342, 610, 12755, 949, 581, 269, 1284, 899, 547, 1589, 540, 713, 607, 1373, 899, 513, 15705, 2319, 910, 1175, 607, 1169, 5869, 814, 2189, 7060, 267, 1142, 835, 540, 596, 814, 707, 1378, 2027, 1259, 540, 1565, 256, 3776, 2816, 607, 7855, 568, 547, 5431, 891, 3604, 543, 4188, 938, 4245, 9935, 780, 4131, 781, 1376, 676, 6158, 827, 1018, 15285, 3884, 1405, 269, 898, 3085, 1405, 1611, 8156, 930, 3214, 1732, 982, 1866, 610, 4758, 873, 4443, 960, 269, 5502, 267, 621, 781, 827, 9301, 602, 1004, 723, 1114, 2115, 950, 621, 2501, 547, 1565, 267, 543, 4466, 2081, 547, 1489, 1346, 1367, 4170, 780, 3086, 267, 1577, 781, 1413, 693, 606, 1383, 269, 5994, 596, 2811, 4730, 513, 3381, 3014, 1141, 596, 666, 3442, 1063, 1614, 3197, 281, 513, 3728, 27460, 267, 513, 2178, 25142, 267, 543, 513, 15931, 2054, 626, 269, 3962, 1915, 4249, 8335, 543, 608, 26118, 538, 1978, 2127, 1247, 10010, 538, 1866, 269, 1677, 3094, 519, 3014, 267, 596, 991, 547, 946, 1142, 1915, 781, 9342, 3927, 269, 4804, 1568, 1454, 519, 1482, 1259, 1107, 649, 782, 723, 938, 1378, 1412, 27273, 335, 10183, 10086, 855, 3006, 649, 1522, 991, 3063, 948, 538, 824, 2127, 780, 3383, 267, 875, 798, 3610, 4019, 21630, 6044, 538, 519, 4928, 286, 1703, 616, 1896, 2994, 789, 666, 946, 1384, 272, 269, 2878, 293, 2716, 1043, 1895, 902, 4995, 11334, 949, 1689, 27939, 12417, 610, 7649, 1053, 1927, 4470, 593, 519, 2534, 269, 1280, 3236, 267, 1282, 2542, 942, 267, 513, 4116, 1223, 6292, 513, 8746, 5467, 609, 2576, 945, 9060, 2542, 811, 4101, 269, 1358, 666, 1287, 1491, 7140, 8026, 741, 1983, 563, 273, 269, 2878, 307, 328, 1229, 10467, 4995, 570, 3696, 2966, 609, 2789, 2157, 540, 7411, 1450, 1053, 547, 4497, 25006, 2687, 547, 741, 5759, 269, 589, 2241, 4305, 1522, 4125, 21458, 2694, 540, 513, 4786, 267, 6466, 513, 1950, 4528, 1223, 2154, 7421, 3140, 2621, 4448, 547, 1808, 6753, 563, 274, 269, 2878, 24868, 539, 2200, 4995, 4635, 3309, 2326, 3032, 619, 547, 1114, 1565, 6163, 269, 10439, 6267, 1522, 4324, 689, 7044, 267, 8642, 9089, 267, 610, 12222, 267, 1247, 17391, 6267, 4782, 27143, 610, 5717, 269, 20943, 20469, 630, 327, 1343, 6823, 264, 6267, 2972, 6901, 267, 1909, 25178, 532, 2238, 267, 610, 2679, 3631, 563, 275, 269, 2878, 3849, 3286, 906, 585, 10605, 4995, 2368, 1053, 9787, 2035, 3533, 267, 1247, 1866, 991, 811, 942, 269, 1635, 3246, 3255, 585, 2689, 610, 10137, 267, 3610, 2327, 3025, 13978, 7722, 269, 1280, 1383, 267, 4359, 1053, 1223, 5490, 4514, 883, 513, 1888, 998, 1382, 3785, 267, 1247, 1346, 17596, 3606, 2259, 1223, 4396, 1518, 741, 1620, 3842, 17118, 610, 3756, 563, 276, 269, 2878, 13528, 894, 10526, 4995, 8617, 2638, 15564, 1683, 3407, 5955, 585, 1312, 3610, 543, 1053, 269, 1452, 2656, 20241, 2697, 20887, 2038, 865, 602, 3610, 666, 2232, 873, 30082, 269, 6201, 1331, 14827, 17914, 267, 555, 29304, 5346, 270, 628, 29304, 16365, 1135, 3149, 267, 610, 5618, 2854, 18759, 780, 3528, 6220, 21630, 6044, 2553, 267, 13460, 1831, 6422, 5624, 1141, 1169, 15226, 7959, 12595, 543, 6462, 269, 5457, 267, 1175, 899, 938, 5172, 27568, 267, 1142, 835, 540, 721, 6770, 1945, 2189, 547, 519, 3349, 269, 1656, 950, 649, 9784, 1346, 3604, 267, 5863, 1919, 666, 4755, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 1772, 14847, 1890, 6261, 3234, 3320, 1759, 4065, 543, 1565, 888, 4467, 7065, 1890, 2861, 6140, 18375, 267, 849, 4857, 607, 595, 23813, 610, 17117, 2861, 6140, 2069, 543, 1565, 267, 6212, 593, 4930, 8223, 4244, 569, 982, 8574, 540, 942, 269, 9282, 7363, 8678, 547, 3152, 6044, 1949, 267, 1082, 2829, 616, 9750, 519, 1246, 693, 519, 10026, 543, 6281, 9830, 269, 4340, 547, 519, 909, 547, 4266, 4214, 689, 634, 29457, 7702, 4659, 267, 972, 616, 476, 278, 2511, 543, 1374, 2035, 585, 595, 23813, 538, 918, 268, 1321, 912, 268, 4841, 1118, 1142, 1554, 8753, 827, 741, 4974, 543, 875, 789, 786, 8858, 621, 454, 268, 10495, 11729, 1134, 31764, 267, 6209, 267, 543, 29829, 1344, 543, 5013, 454, 268, 32113, 568, 1134, 31764, 543, 21630, 10704, 593, 2852, 2875, 13821, 454, 268, 29923, 6788, 616, 7928, 267, 2769, 267, 22905, 267, 543, 4483, 762, 454, 268, 24054, 568, 11251, 538, 519, 4070 ]

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

[ 563, 269, 6321, 280, 454, 6321, 269, 280, 30515, 15008, 912, 2414, 6460, 17447, 547, 21159, 2676, 320, 8918, 1297, 547, 6460, 1312, 519, 2898, 1297, 543, 8918, 851, 540, 519, 1297, 547, 513, 2600, 1871, 563, 11372, 17586, 676, 476, 1911, 547, 6460, 513, 1297, 689, 8918, 547, 2600, 1287, 1039, 513, 2600, 1129, 4939, 563, 2414, 6460, 476, 271, 269, 6321, 280, 547, 2600, 649, 27682, 476, 271, 269, 6321, 280, 538, 2474, 540, 968, 704, 476, 1911, 892, 610, 936, 476, 1911, 563, 11372, 17586, 476, 271, 269, 6321, 280, 676, 476, 1911, 270, 1911, 269, 4595, 476, 1911, 270, 1911, 815, 476, 272, 2676, 933, 616, 1152, 14921, 676, 476, 272, 543, 711, 4657, 519, 1871, 540, 938, 1297, 563, 271, 269, 6321, 280, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 6321, 269, 3445, 2410, 1911, 6525, 815, 476, 6321, 269, 3445, 14999, 3383, 267, 476, 271, 269, 6321, 280, 815, 476, 6321, 269, 3445, 30515, 9223, 476, 1015, 563, 269, 15886, 280, 454, 4200, 269, 4200, 30515, 15008, 912, 2414, 6460, 17447, 547, 21159, 2676, 320, 8918, 1297, 547, 6460, 1312, 519, 2898, 1297, 543, 8918, 851, 540, 519, 1297, 547, 513, 2600, 1871, 563, 11372, 17586, 676, 476, 1911, 547, 6460, 513, 1297, 689, 8918, 547, 2600, 1287, 1039, 513, 2600, 1129, 4939, 563, 2414, 6460, 476, 271, 269, 15886, 280, 547, 2600, 649, 27682, 476, 271, 269, 15886, 280, 538, 2474, 540, 968, 704, 476, 1911, 892, 610, 936, 476, 1911, 563, 11372, 17586, 476, 271, 269, 15886, 280, 676, 476, 1911, 270, 1911, 269, 4595, 476, 1911, 270, 1911, 815, 476, 272, 2676, 933, 616, 1152, 14921, 676, 476, 272, 543, 711, 4657, 519, 1871, 540, 938, 1297, 563, 271, 269, 15886, 280, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 4200, 269, 4200, 2410, 1911, 6525, 815, 476, 4200, 269, 4200, 454, 3383, 267, 476, 271, 269, 15886, 280, 815, 476, 4200, 269, 4200, 30515, 9223, 476, 1556, 563, 271, 269, 9826, 272, 454, 271, 269, 1556, 30515, 15008, 912, 2414, 6460, 17447, 547, 21159, 2676, 320, 8918, 1297, 547, 6460, 1312, 519, 2898, 1297, 543, 8918, 851, 540, 519, 1297, 547, 513, 2600, 1871, 563, 11372, 17586, 676, 476, 1911, 547, 6460, 513, 1297, 689, 8918, 547, 2600, 1287, 1039, 513, 2600, 1129, 4939, 269, 2414, 6460, 476, 271, 269, 9826, 272, 547, 2600, 649, 27682, 476, 271, 269, 9826, 272, 538, 2474, 540, 968, 704, 476, 1911, 892, 610, 936, 476, 1911, 563, 11372, 17586, 476, 271, 269, 9826, 272, 676, 476, 1911, 270, 1911, 269, 4595, 476, 1911, 270, 1911, 815, 476, 272, 2676, 933, 616, 1152, 14921, 676, 476, 272, 543, 711, 4657, 519, 1871, 540, 938, 1297, 563, 271, 269, 9826, 272, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 271, 269, 1556, 2410, 1911, 6525, 815, 476, 271, 269, 1556, 14999, 3383, 267, 476, 271, 269, 9826, 272, 815, 476, 271, 269, 1556, 30515, 9223, 476, 1321, 563, 274, 269, 16328, 276, 454, 27123, 269, 3393, 30515, 15008, 912, 2414, 6460, 17447, 547, 21159, 2676, 320, 8918, 1297, 547, 6460, 1312, 519, 2898, 1297, 543, 8918, 851, 540, 519, 1297, 547, 513, 2600, 1871, 563, 11372, 17586, 676, 476, 1911, 547, 6460, 513, 1297, 689, 8918, 547, 2600, 1287, 1039, 513, 2600, 1129, 4939, 563, 2414, 6460, 476, 274, 269, 16328, 276, 547, 2600, 649, 27682, 476, 274, 269, 16328, 276, 538, 2474, 540, 968, 704, 476, 1911, 892, 610, 936, 476, 1911, 563, 11372, 17586, 476, 274, 269, 16328, 276, 676, 476, 1911, 270, 1911, 269, 4595, 476, 1911, 270, 1911, 815, 476, 272, 2676, 933, 616, 1152, 14921, 676, 476, 272, 543, 711, 4657, 519, 1871, 540, 938, 1297, 563, 274, 269, 16328, 276, 1109, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 27123, 269, 3393, 2410, 1911, 6525, 815, 476, 27123, 269, 3393, 14999, 3383, 267, 476, 274, 269, 16328, 276, 815, 476, 27123, 269, 3393, 30515, 9223, 476, 1724, 563, 4200, 269, 4200, 454, 15886, 280, 30515, 15008, 912, 2414, 6460, 17447, 547, 21159, 2676, 320, 8918, 1297, 547, 6460, 1312, 519, 2898, 1297, 543, 8918, 851, 540, 519, 1297, 547, 513, 2600, 1871, 563, 11372, 17586, 676, 476, 1911, 547, 6460, 513, 1297, 689, 8918, 547, 2600, 1287, 1039, 513, 2600, 1129, 4939, 563, 2414, 6460, 476, 4200, 269, 4200, 547, 2600, 649, 27682, 476, 4200, 269, 4200, 538, 2474, 540, 968, 704, 476, 1911, 892, 610, 936, 476, 1911, 563, 11372, 17586, 476, 4200, 269, 4200, 676, 476, 1911, 270, 1911, 269, 4595, 476, 1911, 270, 1911, 815, 476, 272, 2676, 933, 616, 1152, 14921, 676, 476, 272, 543, 711, 4657, 519, 1871, 540, 938, 1297, 563, 4200, 269, 4200, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 15886, 280, 2410, 1911, 6525, 815, 476, 15886, 280, 14999, 3383, 267, 476, 4200, 269, 4200, 815, 476, 15886, 280, 30515, 9223, 476, 1691, 563, 269, 11260, 27898, 276, 4281, 454, 1704, 269, 27898, 4649, 278, 279, 30515, 15008, 912, 2414, 6460, 17447, 547, 21159, 2676, 320, 8918, 1297, 547, 6460, 1312, 519, 2898, 1297, 543, 8918, 851, 540, 519, 1297, 547, 513, 2600, 1871, 563, 11372, 17586, 676, 476, 1911, 547, 6460, 513, 1297, 689, 8918, 547, 2600, 1287, 1039, 513, 2600, 1129, 4939, 563, 2414, 6460, 1547, 11260, 27898, 276, 4281, 547, 2600, 649, 27682, 1547, 11260, 27898, 276, 4281, 538, 2474, 540, 968, 704, 476, 1911, 892, 610, 936, 476, 1911, 563, 11372, 17586, 1547, 11260, 27898, 276, 4281, 676, 476, 1911, 270, 1911, 269, 4595, 476, 1911, 270, 1911, 815, 476, 272, 2676, 933, 616, 1152, 14921, 676, 476, 272, 543, 711, 4657, 519, 1871, 540, 938, 1297, 563, 269, 11260, 27898, 276, 4281, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 1704, 269, 27898, 4649, 278, 279, 2410, 1911, 6525, 815, 476, 1704, 269, 27898, 4649, 278, 279, 14999, 3383, 267, 476, 271, 269, 11260, 27898, 276, 4281, 815, 476, 1704, 269, 27898, 4649, 278, 279, 30515, 9223, 476, 1428, 563, 269, 6942, 454, 1240, 269, 278, 30515, 15008, 912, 2414, 6460, 17447, 547, 21159, 2676, 320, 8918, 1297, 547, 6460, 1312, 519, 2898, 1297, 543, 8918, 851, 540, 519, 1297, 547, 513, 2600, 1871, 563, 11372, 17586, 676, 476, 1911, 547, 6460, 513, 1297, 689, 8918, 547, 2600, 1287, 1039, 513, 2600, 1129, 4939, 563, 2414, 6460, 1547, 6942, 547, 2600, 649, 27682, 1547, 6942, 538, 2474, 540, 968, 704, 476, 1911, 892, 610, 936, 476, 1911, 563, 11372, 17586, 1547, 6942, 676, 476, 1911, 270, 1911, 269, 4595, 476, 1911, 270, 1911, 815, 476, 272, 2676, 933, 616, 1152, 14921, 676, 476, 272, 543, 711, 4657, 519, 1871, 540, 938, 1297, 563, 269, 6942, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 1240, 269, 278, 2410, 1911, 6525, 815, 476, 1240, 269, 278, 14999, 3383, 267, 476, 271, 269, 6942, 815, 476, 1240, 269, 278, 30515, 9223, 476, 1626, 563, 269, 9262, 454, 271, 269, 9262, 1535, 6695, 2765, 346, 1911, 2410, 1911, 28021, 284, 6695, 2765, 346, 9262, 2410, 1911, 6525, 815, 476, 9262, 260, 0, 298, 7568, 2795, 7851, 692, 258, 31016, 2795, 7851, 692, 1012, 31016, 2795, 7851, 692, 268, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 661, 715, 667, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 20620, 7462, 19809, 3690, 5296, 692, 272, 269, 31016, 2795, 7851, 3040, 7831, 942, 649, 4718, 3156, 540, 29491, 7954, 547, 5547, 1374, 269, 3040, 634, 2596, 29491, 4238, 616, 6730, 267, 10758, 543, 10691, 269, 3040, 1452, 4238, 666, 581, 5916, 547, 1106, 1950, 7215, 267, 799, 666, 849, 581, 2047, 12261, 883, 513, 8800, 5547, 269, 3040, 29491, 7223, 2337, 721, 14458, 7215, 543, 11387, 269, 3040, 4653, 649, 3580, 1413, 693, 513, 21370, 4480, 585, 28976, 606, 4082, 883, 513, 8766, 2040, 540, 2472, 263, 5960, 303, 264, 1106, 281, 3040, 1703, 616, 513, 8766, 1297, 540, 1587, 2474, 538, 519, 4082, 269, 3040, 3962, 2165, 814, 513, 8766, 1297, 540, 2148, 1023, 269, 3040, 18065, 30150, 267, 713, 5012, 547, 513, 8766, 1079, 7400, 6388, 269, 11483, 476, 23211, 692, 273, 269, 5623, 281, 9208, 3029, 540, 7215, 3040, 1284, 666, 2328, 7215, 538, 1082, 2081, 267, 855, 930, 2081, 616, 811, 3730, 982, 1866, 3040, 589, 2040, 540, 2472, 630, 306, 8008, 264, 4082, 3568, 281, 3040, 8307, 10758, 630, 8999, 264, 4238, 693, 519, 968, 537, 614, 2865, 892, 1377, 3040, 3962, 2165, 602, 568, 2040, 4364, 1590, 581, 513, 1587, 540, 2148, 1023, 3040, 634, 5413, 568, 602, 1022, 2040, 540, 2472, 4082, 666, 581, 8045, 1210, 513, 1079, 7400, 5547, 3040, 2148, 1023, 543, 741, 1264, 906, 693, 519, 968, 271, 628, 892, 1377, 3040, 6730, 19235, 693, 519, 1101, 1377, 3040, 513, 2582, 10758, 10766, 693, 519, 2034, 1377, 3040, 901, 6516, 3096, 930, 695, 2180, 1343, 2507, 3040, 10691, 19235, 616, 17697, 3040, 2148, 1023, 616, 32419, 3040, 713, 568, 711, 15502, 538, 20603, 17582, 256, 535, 3287, 11971, 267, 345, 264, 815, 586, 685, 1341, 1535, 685, 344, 345, 685, 1341, 1535, 345, 11483, 476, 23211, 692, 274, 269, 12910, 11659, 281, 3687, 614, 916, 3040, 589, 1295, 3410, 568, 513, 2027, 1587, 540, 2148, 1023, 267, 538, 799, 1142, 3403, 4756, 5526, 4010, 2899, 269, 3040, 589, 1599, 609, 562, 4632, 814, 476, 273, 333, 1295, 614, 916, 630, 26238, 1142, 4756, 666, 2408, 1264, 7757, 610, 711, 264, 3040, 589, 1614, 8686, 926, 762, 1599, 267, 971, 607, 535, 3287, 11971, 267, 345, 1070, 814, 476, 2537, 815, 476, 279, 1295, 614, 916, 281, 3040, 3962, 1295, 3410, 568, 3020, 585, 4010, 835, 4999, 540, 11378, 281, 1535, 685, 344, 685, 345, 685, 1535, 685, 344, 685, 345, 1535, 685, 344, 345, 685, 1535, 685, 344, 345, 27976, 685, 345, 685, 27976, 685, 345, 27976, 345, 685, 27976, 345, 3687, 3410, 1772, 3020, 950, 2507, 1744, 2180, 663, 1535, 685, 344, 685, 345, 685, 1535, 284, 271, 267, 586, 284, 271, 267, 1990, 284, 271, 544, 271, 1535, 685, 344, 685, 345, 1535, 284, 271, 267, 586, 284, 271, 267, 1990, 284, 272, 544, 272, 1535, 685, 344, 345, 685, 1535, 284, 271, 267, 586, 284, 272, 267, 1990, 284, 271, 544, 273, 1535, 685, 344, 345, 1535, 284, 271, 267, 586, 284, 272, 267, 1990, 284, 272, 544, 274, 27976, 685, 345, 685, 1535, 284, 272, 267, 586, 284, 271, 267, 1990, 284, 271, 544, 275, 27976, 685, 345, 1535, 284, 272, 267, 586, 284, 271, 267, 1990, 284, 272, 544, 276, 27976, 345, 685, 1535, 284, 272, 267, 586, 284, 272, 267, 1990, 284, 271, 544, 277, 27976, 345, 1535, 284, 272, 267, 586, 284, 272, 267, 1990, 284, 272, 544, 278, 11483, 476, 23211, 692, 275, 269, 12910, 11659, 281, 5681, 540, 1295, 614, 916, 1106, 3040, 5272, 1599, 666, 581, 2854, 607, 513, 2040, 540, 1295, 614, 916, 267, 799, 568, 513, 2027, 2186, 540, 2040, 540, 2472, 1106, 3040, 634, 2040, 540, 1295, 614, 916, 1106, 585, 1022, 1599, 568, 2189, 3040, 1403, 596, 723, 513, 5168, 3349, 585, 513, 1599, 267, 596, 666, 2328, 513, 2040, 540, 1295, 614, 916, 4082, 1175, 676, 16116, 856, 519, 9343, 540, 519, 3349, 1141, 519, 1599, 3977, 568, 476, 272, 269, 535, 815, 1535, 685, 344, 685, 345, 685, 1341, 1535, 685, 344, 685, 345, 1341, 1535, 685, 344, 345, 685, 1341, 1535, 685, 344, 345, 1341, 27976, 345, 685, 815, 544, 271, 1341, 544, 272, 1341, 544, 273, 1341, 544, 274, 1341, 544, 277, 815, 19569, 497, 332, 263, 271, 267, 272, 267, 273, 267, 274, 267, 277, 264, 535, 685, 815, 27976, 685, 345, 685, 1341, 27976, 685, 345, 1341, 27976, 345, 815, 544, 275, 1341, 544, 276, 1341, 544, 278, 815, 19569, 497, 332, 263, 275, 267, 276, 267, 278, 264, 535, 685, 3568, 782, 519, 1295, 614, 916, 711, 538, 535, 11483, 476, 23211, 692, 276, 269, 1234, 268, 1551, 4474, 519, 5168, 3349, 3040 ]

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

[ 476, 2641, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1789, 5463, 476, 1220, 279, 267, 476, 6349, 281, 4029, 454, 327, 2125, 1001, 273, 5206, 912, 13729, 476, 272, 7726, 476, 278, 692, 288, 2487, 2689, 540, 2628, 10253, 6920, 602, 16628, 781, 1631, 7118, 606, 3328, 540, 476, 275, 866, 2053, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 3379, 547, 513, 5223, 540, 476, 5655, 2053, 538, 476, 1960, 271, 780, 321, 269, 602, 267, 593, 3328, 267, 16628, 781, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 513, 5223, 602, 19776, 547, 476, 5655, 2053, 563, 322, 269, 602, 267, 593, 3328, 267, 16628, 781, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 607, 3379, 547, 476, 5655, 2053, 741, 2628, 267, 519, 5223, 454, 323, 269, 9460, 334, 781, 945, 1631, 7118, 593, 3328, 476, 275, 866, 942, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 607, 3379, 547, 476, 5655, 2053, 741, 2628, 267, 519, 5223, 454, 324, 269, 16628, 781, 1631, 15980, 606, 3328, 540, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 3379, 547, 519, 5223, 540, 476, 5655, 2053, 692, 289, 849, 692, 257, 785, 6510, 257, 1341, 602, 267, 3976, 267, 3444, 856, 667, 543, 661, 780, 257, 26132, 257, 538, 595, 568, 24813, 267, 621, 4016, 547, 1018, 2496, 288, 568, 513, 25056, 780, 5522, 345, 267, 2022, 519, 29314, 607, 4166, 607, 2009, 454, 29262, 454, 16274, 281, 476, 1240, 2904, 476, 1220, 279, 454, 15803, 281, 476, 12553, 278, 454, 27063, 281, 476, 1691, 692, 20132, 19560, 476, 18231, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1789, 5463, 476, 1220, 279, 267, 476, 6349, 281, 4510, 454, 12640, 342, 27401, 1862, 1955, 11821, 536, 11320, 645, 543, 595, 269, 15987, 645, 4667, 13801, 855, 11214, 538, 645, 267, 513, 5223, 602, 19776, 547, 476, 5655, 2053, 5654, 26101, 269, 4263, 519, 1482, 942, 267, 538, 595, 834, 26132, 257, 568, 10701, 1190, 454, 327, 2125, 1001, 273, 5206, 912, 13729, 476, 272, 7726, 476, 278, 692, 288, 2487, 2689, 540, 2628, 10253, 6920, 602, 16628, 781, 1631, 7118, 606, 3328, 540, 476, 275, 866, 2053, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 3379, 547, 513, 5223, 540, 476, 5655, 2053, 538, 476, 1960, 271, 780, 321, 269, 602, 267, 593, 3328, 267, 16628, 781, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 513, 5223, 602, 19776, 547, 476, 5655, 2053, 563, 322, 269, 602, 267, 593, 3328, 267, 16628, 781, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 607, 3379, 547, 476, 5655, 2053, 741, 2628, 267, 519, 5223, 454, 323, 269, 9460, 334, 781, 945, 1631, 7118, 593, 3328, 476, 275, 866, 942, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 607, 3379, 547, 476, 5655, 2053, 741, 2628, 267, 519, 5223, 454, 324, 269, 16628, 781, 1631, 15980, 606, 3328, 540, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 3379, 547, 519, 5223, 540, 476, 5655, 2053, 454, 12421, 454, 16274, 281, 476, 1839, 2904, 476, 1220, 279, 454, 15803, 281, 476, 5379, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 2641, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 5400, 3967, 476, 1220, 280, 267, 476, 1724, 281, 5392, 692, 7717, 787, 585, 27764, 515, 8488, 538, 16253, 514, 13718, 24392, 708, 1869, 11821, 1063, 536, 543, 524, 8885, 454, 14483, 9906, 454, 16274, 281, 476, 5400, 3967, 476, 1220, 280, 454, 15803, 281, 476, 30444, 454, 29479, 476, 272, 281, 476, 278, 3583, 1627, 2004, 966, 5379, 454, 27063, 281, 476, 2190, 692, 20132, 19560, 476, 14338, 1496, 271, 3910, 2016, 281, 476, 278, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6021, 3967, 476, 1220, 280, 267, 476, 1240, 281, 5881, 454, 290, 568, 9090, 711, 2953, 269, 2290, 5223, 568, 2487, 543, 835, 568, 538, 476, 1960, 271, 269, 634, 2063, 3787, 267, 834, 1492, 5223, 538, 476, 1960, 271, 2580, 10039, 1152, 547, 519, 3379, 5223, 267, 711, 519, 2898, 3364, 780, 7078, 912, 1607, 1249, 267, 3379, 547, 713, 1249, 267, 693, 713, 4266, 2999, 19203, 2953, 267, 1312, 5013, 9305, 547, 602, 930, 4266, 454, 1607, 2487, 1249, 267, 3379, 547, 713, 1249, 267, 693, 713, 4266, 2999, 19203, 11234, 692, 289, 568, 1732, 1317, 519, 4845, 1631, 14509, 692, 15542, 693, 835, 4266, 267, 3379, 547, 1249, 693, 606, 824, 4266, 780, 28775, 602, 2337, 563, 10048, 4526, 454, 16274, 281, 476, 6860, 3967, 476, 1220, 280, 454, 15803, 281, 476, 25240, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 1556, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1015, 3967, 476, 1220, 280, 267, 476, 1704, 281, 2764, 454, 323, 261, 552, 616, 5693, 856, 563, 320, 568, 856, 1317, 1535, 2053, 811, 2628, 563, 321, 1299, 524, 616, 10169, 16602, 269, 594, 4682, 609, 524, 1317, 594, 1705, 711, 899, 834, 4818, 4100, 547, 257, 538, 536, 563, 9802, 581, 536, 568, 519, 1034, 3617, 563, 6630, 310, 594, 729, 849, 11821, 609, 519, 946, 540, 19980, 23393, 521, 630, 4753, 302, 781, 607, 10353, 547, 9460, 11675, 1916, 327, 2125, 1001, 273, 5206, 912, 13729, 476, 272, 7726, 476, 278, 692, 288, 2487, 2689, 540, 2628, 10253, 6920, 602, 16628, 781, 1631, 7118, 606, 3328, 540, 476, 275, 866, 2053, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 3379, 547, 513, 5223, 540, 476, 5655, 2053, 538, 476, 1960, 271, 780, 321, 269, 602, 267, 593, 3328, 267, 16628, 781, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 513, 5223, 602, 19776, 547, 476, 5655, 2053, 563, 322, 269, 602, 267, 593, 3328, 267, 16628, 781, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 607, 3379, 547, 476, 5655, 2053, 741, 2628, 267, 519, 5223, 454, 323, 269, 9460, 334, 781, 945, 1631, 7118, 593, 3328, 476, 275, 866, 942, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 607, 3379, 547, 476, 5655, 2053, 741, 2628, 267, 519, 5223, 454, 324, 269, 16628, 781, 1631, 15980, 606, 3328, 540, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 3379, 547, 519, 5223, 540, 476, 5655, 2053, 692, 6303, 318, 692, 2411, 9339, 8894, 339, 2313, 541, 341, 330, 692, 10048, 4526, 454, 16274, 281, 476, 2641, 2904, 476, 1220, 280, 454, 15803, 281, 476, 16318, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 866, 1496, 272, 316, 2073, 2016, 281, 476, 2004, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2918, 9484, 476, 1220, 280, 267, 476, 5881, 281, 6321, 454, 272, 454, 298, 11070, 5308, 454, 289, 269, 602, 267, 593, 3328, 267, 16628, 779, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 513, 5223, 602, 19776, 547, 476, 5655, 2053, 454, 290, 269, 602, 267, 593, 3328, 267, 16628, 779, 1631, 7118, 476, 275, 866, 2053, 519, 2628, 540, 4544, 2275, 20683, 4600, 267, 607, 3379, 547, 476, 5655, 2053, 741, 2628, 267, 519, 5223, 454, 2562, 595, 607, 3379, 547, 547, 4016, 547, 4544, 2275, 20683, 4600, 855, 711, 547, 634, 22472, 263, 514, 519, 7726, 519, 5223, 1058, 581, 3379, 269, 865, 649, 666, 3362, 9004, 595, 692, 10048, 4526, 454, 16274, 281, 476, 4905, 7325, 476, 1220, 280, 454, 15803, 281, 476, 20720, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 1704, 1496, 271, 3910, 2016, 281, 476, 4375, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2764, 9484, 476, 1220, 280, 267, 476, 6734, 281, 6021, 454, 296, 1589, 713, 2243, 814, 12341, 814, 2907, 1044, 5941, 269, 594, 2161, 661, 780, 1432, 781, 519, 29314, 888, 6303, 318, 692, 13706, 4758, 918, 16997, 952, 596, 899, 519, 2022, 780, 10048, 4526, 454, 16274, 281, 476, 2641, 2904, 476, 1220, 280, 454, 15803, 281, 476, 16318, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 866, 1496, 271, 3910, 2016, 281, 476, 2004, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2764, 9484, 476, 1220, 280, 267, 476, 6734, 281, 1789, 454, 29151, 568, 645, 1775, 1589, 711, 2386, 454, 17445, 528, 454, 16274, 281, 476, 4962, 9947, 476, 1220, 280, 454, 15803, 281, 476, 25616, 454, 25446, 476, 272, 281, 476, 278, 344, 8986, 630, 26296, 7896, 910, 13693, 656, 267, 22601, 994, 27063, 281, 476, 1556, 692, 20132, 19560, 476, 27886, 1496, 271, 3910, 2016, 281, 476, 11793, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 2764, 9484, 476, 1220, 280, 267, 476, 5881, 281, 1691, 454, 2005, 781, 513, 17918, 16721, 2243, 269, 29314, 281, 595, 454, 6303, 318, 692, 13706, 737, 16997, 585, 519, 1434, 2022, 4429, 7069, 3181, 4361, 2433, 3460, 268, 277, 3583, 3562, 268, 24798, 268, 336, 2004, 8686, 3607, 17489, 268, 25616, 10695, 11258, 692, 10048, 4526, 454, 1805, 9850, 281, 1018, 649, 1616, 547, 798, 267, 798, 621, 607, 4166, 607, 2009, 454, 16274, 281, 476, 2190, 2904, 476, 1001, 271, 454, 15803, 281, 476, 14625, 454, 19613, 281, 10476, 454, 25446, 476, 272, 281, 476, 276, 269, 271, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 7906, 1496, 272, 316, 2073, 2016, 281, 476, 25628, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6734, 5463, 476, 1001, 271, 267, 476, 6349, 281, 1724, 454, 272, 454, 298, 11070, 5308, 454, 321, 11035, 16660, 753, 5206, 912, 296, 13603, 595, 563, 296, 1810, 1405, 1589, 645, 22621, 6829, 1018, 621, 568, 9236, 269, 595, 267, 4352, 1279, 267, 855, 711, 8209, 2262, 344, 267, 1500, 519, 2953, 6476, 780, 328, 3858, 609, 25381, 16660, 753, 2676, 291, 261, 292, 281, 856, 607, 649, 991, 834, 7474, 257, 1934, 454, 288, 281, 856, 607, 4636, 6476, 454, 24992, 630, 289, 264, 543, 630, 290, 264, 594, 8917, 585, 630, 290, 264, 585, 476, 273, 4128, 912, 268, 1284, 991, 834, 311, 2053, 1945, 257, 855, 711, 834, 311, 2053, 257, 4805, 563, 268, 834, 7474, 19776, 547, 10371, 1701, 568, 26101, 454, 15161, 666, 2161, 834, 26132, 257, 538, 630, 290, 264, 568, 10701, 340, 657, 855, 1775, 21645, 1589, 865, 269, 594, 1589, 621, 1612, 531, 601, 547, 834, 1492, 2628, 540, 4544, 2275, 20683, 4600, 4840, 6303, 318, 692, 13706, 4758, 803, 737, 16997, 952, 596, 1265, 1250, 3137, 5363, 865, 1775, 666, 1451, 875, 547, 2769, 2093, 547, 1004, 811, 24669, 780, 25938, 1640, 15440, 454, 1805, 9850, 281, 2052, 1405, 2285, 909, 454, 16274, 281, 476, 736, 5463, 476, 1220, 280, 454, 15803, 281, 476, 17168, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 2918, 1496, 271, 3910, 2016, 281, 476, 3374, 692, 3725, 281, 14662, 281, 16628, 781, 2628, 4336, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6734, 5463, 476, 1001, 271, 267, 476, 5400, 281, 6349, 454, 288, 2487, 2689, 540, 2628, 10253, 6920, 602, 16628, 781, 1631, 7118, 606, 3328, 540, 476, 275, 866, 2053, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 3379, 547, 513, 5223, 540, 476, 5655, 2053, 538, 476, 1960, 271, 780, 320, 269, 602, 16628, 781, 1631, 7118, 606, 3328, 540, 476, 275, 866, 2053, 811, 2628, 982, 4544, 2275, 20683, 4600, 267, 3379, 547, 513, 5223, 540, 476, 5655, 2053, 910, 602, 543, 2953, 6476, 834, 4818, 1563, 547, 630, 684, 3697, 1919, 264, 4840, 321, 269, 602, 267, 593, 3328, 267, 16628, 781, 1631 ]

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

[ 0, 2710, 596, 2479, 7985, 689, 30898, 792, 762, 2589, 1318, 1354, 602, 942, 540, 519, 3923, 286, 4270, 267, 513, 1007, 2551, 2861, 1353, 1700, 3370, 538, 5113, 4139, 1700, 814, 1336, 602, 2713, 2282, 3039, 5624, 1223, 948, 2569, 2589, 540, 840, 2173, 523, 11584, 531, 6794, 267, 610, 623, 5960, 563, 2026, 1082, 607, 1614, 538, 2185, 2021, 1995, 623, 5960, 5829, 2589, 267, 799, 666, 1491, 596, 593, 513, 2168, 543, 3929, 16945, 1723, 2120, 563, 2690, 1296, 267, 2021, 2066, 519, 8608, 723, 6836, 3388, 689, 693, 25571, 14319, 547, 936, 7308, 23716, 11955, 547, 26193, 741, 2589, 1700, 799, 666, 1331, 26533, 267, 7099, 23638, 267, 4160, 267, 14331, 267, 31926, 267, 3207, 2042, 267, 13110, 1145, 267, 543, 811, 563, 3383, 267, 891, 3173, 2808, 519, 2009, 2825, 1764, 593, 2021, 779, 2067, 4783, 563, 7021, 835, 8536, 2021, 1063, 519, 6502, 540, 29933, 543, 17288, 5991, 710, 941, 23500, 538, 713, 1353, 269, 1452, 2021, 5030, 2429, 13785, 543, 16157, 543, 15527, 547, 5619, 2055, 3823, 741, 6197, 6208, 267, 1072, 267, 4087, 267, 543, 519, 2186, 540, 623, 5960, 2589, 602, 789, 4810, 563, 1607, 1353, 568, 519, 1101, 540, 922, 2186, 547, 8495, 519, 2078, 1063, 623, 5960, 543, 3039, 2230, 269, 634, 1353, 1336, 602, 2021, 2713, 2282, 3039, 5624, 616, 1447, 2693, 547, 1995, 7920, 623, 5960, 2589, 563, 5445, 4080, 2348, 1447, 4160, 543, 4965, 267, 2539, 31926, 543, 26533, 267, 543, 1447, 8373, 12008, 563, 4407, 519, 2164, 3280, 9621, 267, 519, 1353, 849, 7074, 602, 596, 1131, 723, 547, 2661, 2282, 513, 3039, 2230, 585, 1034, 540, 707, 1272, 538, 1931, 547, 1995, 519, 2640, 269, 7102, 2110, 3856, 13978, 1131, 711, 3132, 519, 1482, 2164, 563, 763, 2640, 616, 849, 711, 3362, 2491, 762, 269, 1717, 267, 519, 3173, 8263, 602, 2539, 2566, 2157, 538, 891, 5054, 3565, 547, 519, 1447, 2989, 2589, 2094, 789, 616, 5097, 5626, 563, 14294, 909, 585, 932, 760, 19529, 779, 20394, 543, 1205, 2984, 899, 713, 9447, 2786, 547, 707, 28600, 269, 0, 763, 7420, 540, 5771, 454, 1692, 1058, 10271, 4431, 547, 5771, 286, 1284, 11129, 547, 917, 1018, 5771, 568, 267, 543, 713, 2376, 2337, 676, 3168, 693, 6927, 971, 607, 5771, 781, 4930, 540, 5132, 267, 519, 12866, 30346, 1513, 540, 5771, 267, 519, 1747, 540, 17124, 267, 519, 1686, 540, 5771, 1310, 17124, 267, 519, 15878, 262, 534, 267, 543, 519, 1747, 540, 4906, 538, 5771, 269, 3973, 621, 5267, 513, 1259, 547, 4431, 547, 5771, 563, 763, 8771, 11334, 281, 17124, 454, 300, 7795, 13758, 10645, 602, 4906, 729, 835, 540, 519, 28556, 855, 729, 711, 16961, 1881, 269, 1261, 8547, 5771, 543, 1010, 13794, 2968, 1634, 607, 12356, 269, 901, 2376, 12857, 17124, 543, 875, 646, 3765, 21323, 4906, 563, 1432, 5272, 4168, 20126, 547, 5700, 6168, 519, 15878, 262, 534, 1107, 634, 15878, 262, 534, 543, 17124, 540, 2725, 17433, 454, 1103, 3848, 476, 272, 267, 6519, 7710, 519, 5169, 540, 519, 15878, 685, 534, 543, 922, 2078, 547, 17124, 269, 634, 670, 6359, 571, 267, 519, 1772, 571, 267, 543, 519, 21007, 685, 571, 329, 616, 5189, 563, 763, 700, 3581, 1222, 540, 2441, 454, 763, 2376, 27875, 930, 540, 519, 9475, 538, 519, 7440, 540, 519, 9099, 5132, 602, 24693, 4906, 607, 513, 3020, 22445, 540, 2696, 543, 2943, 3954, 625, 1010, 25976, 269, 1703, 568, 513, 4909, 5470, 538, 16561, 1312, 4906, 543, 17124, 607, 3020, 28556, 540, 2696, 269, 0, 21104, 725, 540, 32454, 538, 1546, 22380, 454, 763, 4473, 540, 11670, 543, 519, 9893, 814, 1185, 606, 9565, 1198, 593, 2029, 267, 543, 922, 6286, 585, 2789, 6080, 723, 1044, 1713, 269, 32454, 543, 18228, 8804, 630, 5719, 22380, 264, 616, 519, 1079, 3156, 540, 9893, 602, 723, 4607, 519, 1034, 1719, 269, 23433, 3059, 11113, 723, 2907, 1500, 741, 1665, 593, 1312, 519, 9893, 2146, 543, 519, 2489, 1857, 269, 6301, 569, 585, 946, 538, 11247, 543, 2445, 17156, 269, 32454, 616, 4867, 26405, 547, 5368, 1203, 543, 5372, 835, 540, 519, 4102, 9922, 281, 8804, 563, 5719, 22380, 6127, 11753, 609, 1875, 1922, 2426, 1043, 21797, 547, 1683, 5969, 12967, 2883, 2533, 547, 5561, 269, 32087, 1851, 873, 616, 12029, 267, 28880, 11865, 543, 6142, 269, 5047, 267, 789, 666, 581, 1031, 585, 30393, 15314, 267, 10350, 13359, 543, 18228, 23831, 270, 4011, 8089, 5867, 269, 634, 5137, 540, 513, 2898, 1007, 1158, 540, 23088, 2861, 1546, 22380, 8924, 568, 1500, 2009, 676, 9256, 5691, 21797, 609, 1546, 22380, 10873, 563, 1692, 798, 32454, 2226, 1871, 543, 11753, 609, 1546, 22380, 888, 301, 10499, 338, 723, 12926, 1044, 2404, 609, 1148, 543, 3407, 3615, 269, 5047, 267, 713, 1281, 711, 2061, 873, 689, 13936, 2418, 538, 824, 2081, 269, 11670, 267, 585, 1383, 267, 24283, 1871, 689, 922, 1585, 3156, 563, 1103, 513, 9893, 267, 32454, 2709, 513, 3102, 2626, 547, 2870, 4890, 3059, 26117, 269, 1879, 621, 2501, 547, 2724, 543, 9541, 267, 972, 616, 1082, 1114, 7221, 602, 1683, 1871, 269, 7464, 10040, 543, 2140, 23339, 616, 1806, 563, 1692, 786, 32454, 7520, 1546, 22380, 888, 21607, 1154, 891, 9541, 593, 7302, 664, 607, 3059, 21797, 666, 948, 2226, 519, 2640, 540, 1546, 22380, 779, 15139, 1436, 267, 799, 2488, 2497, 543, 6325, 2081, 547, 1921, 609, 1866, 563, 2690, 1383, 267, 519, 6093, 2344, 585, 5533, 5161, 5097, 540, 18318, 267, 15377, 543, 936, 7308, 23716, 8852, 269, 3962, 11863, 2636, 513, 9138, 2179, 540, 5533, 267, 543, 27121, 609, 30694, 782, 23148, 666, 581, 4421, 547, 824, 3549, 563, 288, 9893, 2861, 1062, 585, 519, 9042, 540, 971, 27121, 786, 1683, 513, 4023, 2344, 602, 2337, 18046, 543, 23965, 1265, 519, 1034, 5078, 3091, 269, 2755, 782, 5533, 14998, 616, 1114, 267, 789, 1683, 513, 8903, 946, 2013, 585, 18351, 1436, 971, 607, 32454, 563, 301, 10499, 779, 2956, 547, 1546, 22380, 563, 5719, 22380, 3156, 585, 32454, 723, 1713, 2150, 11474, 1761, 267, 855, 789, 616, 2907, 538, 946, 538, 519, 1546, 22380, 2344, 563, 11405, 547, 519, 3354, 1966, 454, 1103, 519, 1148, 1158, 267, 513, 1966, 609, 3902, 25359, 568, 513, 3978, 16950, 269, 18421, 568, 7334, 1934, 563, 22428, 513, 4605, 568, 4502, 1269, 272, 2929, 267, 855, 621, 814, 1100, 1871, 2394, 2576, 568, 4712, 547, 4444, 621, 269, 769, 713, 2013, 267, 1546, 22380, 543, 32454, 616, 2324, 1927, 547, 4194, 519, 1966, 269, 634, 4238, 949, 1331, 10478, 585, 2409, 547, 946, 23088, 2445, 17156, 543, 1148, 607, 32097, 585, 1546, 22380, 23831, 269, 25392, 602, 6671, 1148, 814, 1044, 1031, 607, 32097, 538, 519, 1483, 1158, 2094, 922, 2038, 5933, 267, 621, 4667, 9266, 547, 8831, 713, 2259, 547, 519, 15170, 2872, 543, 23088, 1148, 563, 3528, 7311, 18351, 1436, 547, 891, 32454, 267, 621, 849, 2337, 547, 7753, 28880, 2152, 538, 1546, 22380, 269, 570, 7505, 1436, 5787, 919, 519, 5137, 540, 606, 10697, 779, 1871, 269, 1280, 1383, 267, 513, 960, 540, 1148, 602, 666, 3362, 581, 4421, 563, 302, 1233, 11429, 540, 32454, 543, 1546, 22380, 454, 1103, 519, 2575, 2872, 267, 519, 4367, 540, 4347, 328, 5867, 11251, 609, 32454, 4564, 513, 4838, 585, 12372, 269, 23088, 16881, 9562, 2924, 543, 15271, 585, 519, 3312, 15888, 538, 513, 1713, 1259, 269, 15706, 8066, 519, 32454, 786, 4309, 513, 929, 528, 730, 6871, 540, 519, 8964, 685, 18297, 8907, 269, 4825, 8724, 2357, 16666, 4747, 998, 606, 23088, 849, 5713, 607, 513, 3811, 1106, 540, 32097, 543, 666, 1930, 519, 7450, 547, 796, 5913, 3293, 12029, 269, 901, 9744, 568, 4867, 28998, 538, 519, 1219, 328, 1858, 269, 4935, 267, 519, 6228, 540, 23088, 568, 6225, 585, 4347, 328, 2230, 563, 4467, 14293, 1436, 540, 3860, 1568, 3842, 32454, 786, 3136, 547, 19582, 513, 1713, 851, 540, 519, 23088, 2344, 269, 1809, 621, 786, 2693, 1491, 519, 1106, 540, 24416, 267, 10677, 9562, 543, 28370, 4687, 563, 306, 11510, 519, 1966, 609, 519, 7455, 2203, 454, 763, 1259, 23088, 543, 1546, 22380, 960, 1927, 547, 7753, 519, 7455, 2203, 1966, 568, 1776, 4583, 2013, 1141, 23088, 9562, 4249, 513, 2629, 1909, 538, 519, 1546, 22380, 2230, 269, 2290, 540, 519, 18175, 24612, 4347, 328, 16257, 8747, 602, 11368, 519, 7455, 2203, 585, 28880, 20115, 269, 634, 2203, 540, 519, 7455, 729, 2966, 547, 15814, 28880, 936, 519, 3003, 7455, 267, 865, 513, 1713, 13250, 540, 28880, 1705, 711, 1267, 538, 11033, 547, 7426, 563, 4415, 1489, 689, 519, 23088, 2230, 267, 789, 8045, 513, 1907, 585, 28880, 7426, 547, 5659, 741, 3854, 1759, 593, 741, 6074, 2688, 3902, 7306, 269, 901, 4679, 741, 4598, 547, 2877, 7221, 1247, 4227, 741, 17498, 728, 1981, 563, 301, 10499, 338, 2099, 6939, 4919, 21797, 602, 616, 2808, 3407, 1813, 547, 741, 3354, 543, 3747, 269, 1635, 9256, 18228, 2883, 7221, 267, 891, 21797, 666, 581, 1031, 547, 1020, 7463, 2883, 2533, 269, 769, 3766, 877, 19728, 267, 9541, 610, 28880, 10868, 616, 1806, 540, 3498, 2665, 585, 713, 1826, 540, 6639, 5647, 269, 5047, 267, 519, 3252, 602, 32454, 666, 1404, 538, 519, 1546, 22380, 2230, 616, 3970, 1652, 269, 1703, 568, 1869, 811, 547, 1451, 827, 519, 4241, 3785, 547, 2097, 563, 29128, 596, 1174, 602, 32454, 666, 723, 1871, 3564, 741, 1455, 946, 538, 11247, 543, 824, 2445, 17156, 267, 596, 786, 1152, 2253, 547, 5431, 741, 11999, 1761, 269, 1546, 22380, 543, 23088, 616, 1312, 5393, 1007, 4066, 609, 606, 11212, 1279, 1259, 547, 979, 269, 0, 763, 5948, 585, 17270, 7557, 10320, 630, 3722, 300, 264, 9307, 2063, 3018, 602, 7585, 5450, 322, 2788, 324, 568, 519, 18579, 540, 519, 476, 1708, 273, 8028, 300, 589, 8160, 269, 570, 1005, 13815, 585, 519, 8798, 267, 32301, 267, 543, 5010, 1436, 540, 25494, 563, 763, 8028, 300, 2046, 5305, 3288, 644, 338, 519, 25494, 585, 6967, 2221, 968, 1492, 20013, 7154, 540, 1239, 2792, 2223, 543, 585, 18440, 968, 5228, 922, 8129, 1496, 1993, 4557, 476, 273, 269, 11463, 19251, 629, 1080, 829, 2034, 316, 547, 2221, 779, 1617, 580, 580, 629, 527, 12656, 29364, 4390, 1848, 5450, 322, 2788, 324, 568, 26916, 585, 968, 20130, 11972, 5075, 602, 1169, 2780, 2877, 547, 581, 3060, 539, 3034, 1607, 5075, 540, 3060, 539, 5904, 3366, 711, 1152, 547, 513, 13654, 2029, 540, 968, 712, 10562, 1158, 892, 855, 849, 547, 519, 556, 19960, 1456, 540, 2413, 7384, 543, 547, 519, 1964, 31382, 540, 519, 1870, 540, 2413, 7384, 563, 763, 476, 2735, 271, 338, 616, 3592, 24080, 9833, 607, 721, 17518, 538, 519, 1007, 968, 15425, 5736, 2223, 13868, 519, 1292, 18134, 5123, 540, 519, 2872, 269, 654, 3994, 269, 634, 7193, 729, 513, 1292, 18134, 593, 513, 11380, 269, 898, 15069, 8329, 547, 513, 9649, 20014, 538, 3593, 7607, 267, 855, 621, 4797, 519, 1482, 835, 3562, 14633, 3347, 1063, 1004, 543, 5904, 563, 763, 1007, 5123, 538, 519, 4720, 540, 2413, 7384, 729, 711, 519, 7193, 5736, 267, 621, 729, 519, 13033, 5736, 269, 1306, 5450, 322, 2788, 324, 9676, 538, 1018, 3357, 2663, 547, 581, 1634, 607, 968, 18404, 322, 2788, 324, 779, 4521, 2223, 1631, 1344, 8928, 941, 1082, 3562, 2173, 1415, 267, 1101, 609, 2199, 1858, 5121, 630, 28356, 264, 8220, 3842, 519, 25494, 5604, 7193, 338, 267, 543, 2663, 609, 519, 2622, 22453, 5680, 4881, 936, 519, 5769, 267, 8220, 782, 7384, 3457, 3842, 630, 2865, 569, 264, 519, 25494, 543, 922, 8174, 566, 267, 15261, 19712, 563, 4131, 779, 2322, 875, 5450, 322, 2788, 324, 968, 4134, 32152, 892, 519, 2780, 2872, 538, 513, 6626, 3140, 2796, 563, 18658, 814, 2696, 530, 3754, 892, 729, 519, 1101, 5048, 2366, 676, 751, 25393, 593, 2904, 476, 2190, 267, 476, 7277, 275, 267, 543, 609, 621, 267, 15656, 5651, 572, 1185, 9250, 519, 18329, 11416, 269, 901, 729, 519, 840, 3620, 626, 800, 540, 7857, 1436, 267, 1210, 5907, 1797, 547, 7369, 938, 3105, 18765, 540, 942, 543, 2230, 543, 547, 1683, 1007, 9055, 585, 12419, 3377, 267, 1344, 267, 543, 9913, 563, 4002, 4873, 476, 1789, 267, 476, 3707, 276, 267, 3627, 13153, 3026, 30977, 3370, 968, 288, 3689, 30633, 540, 513, 7797, 593, 519, 11581, 309, 3722, 2223, 1572, 676, 12206, 9410, 23720, 11860, 11481, 543, 5261, 1306, 335, 2001, 968, 1492, 6639, 4493, 585, 519, 5001, 2780, 2872, 1848, 1284 ]

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

[ 0, 258, 19152, 476, 276, 2418, 454, 258, 11243, 454, 258, 11754, 816, 454, 258, 23086, 454, 258, 29638, 454, 258, 14630, 1993, 289, 9500, 454, 258, 292, 5554, 2225, 667, 299, 267, 952, 14718, 454, 258, 825, 1820, 707, 23817, 837, 543, 596, 616, 14718, 692, 258, 12648, 3403, 540, 476, 276, 1004, 454, 28744, 1297, 540, 9038, 543, 1297, 540, 8951, 692, 5814, 30220, 7531, 332, 1446, 284, 272, 454, 2745, 2891, 300, 2297, 1297, 14307, 332, 1446, 2020, 852, 815, 30220, 6155, 520, 8135, 269, 852, 4590, 2017, 337, 284, 852, 13885, 792, 454, 28744, 263, 2017, 337, 2020, 258, 11133, 318, 1551, 815, 1592, 4590, 333, 815, 1592, 4590, 320, 815, 1592, 4590, 322, 815, 1592, 4590, 326, 815, 1592, 4590, 323, 815, 1592, 10797, 328, 284, 271, 454, 332, 1446, 284, 271, 454, 325, 332, 284, 271, 454, 1278, 284, 271, 454, 6112, 1775, 283, 273, 912, 825, 562, 272, 284, 6358, 2891, 11767, 8745, 8587, 2433, 19515, 825, 513, 272, 284, 6358, 2891, 11767, 17372, 567, 2433, 19515, 825, 524, 272, 284, 6358, 2891, 11767, 13555, 567, 2433, 19515, 825, 575, 272, 284, 6358, 2891, 11767, 13834, 825, 2433, 19515, 825, 546, 272, 284, 6358, 2891, 11767, 11298, 289, 538, 962, 312, 312, 312, 5336, 300, 5937, 291, 3898, 2433, 19515, 258, 567, 1003, 318, 1551, 6910, 3799, 272, 994, 825, 562, 6910, 3799, 272, 994, 825, 513, 6910, 5416, 272, 994, 825, 524, 6910, 6262, 272, 994, 825, 575, 6910, 14116, 272, 994, 825, 29757, 272, 267, 19282, 272, 267, 1485, 272, 815, 4786, 17301, 28504, 272, 21858, 3488, 268, 29125, 825, 546, 272, 284, 323, 520, 8135, 6155, 622, 263, 10455, 272, 267, 19282, 272, 267, 1485, 272, 11850, 825, 546, 6910, 5560, 272, 994, 825, 952, 14116, 272, 2652, 1412, 300, 262, 2187, 1038, 5256, 23785, 272, 454, 825, 8640, 14116, 272, 2652, 1412, 293, 262, 2187, 1038, 535, 332, 23785, 272, 454, 825, 3116, 912, 1038, 824, 23785, 272, 454, 825, 952, 263, 2017, 337, 1673, 272, 13885, 792, 13843, 1240, 2187, 1038, 1820, 3799, 272, 266, 257, 568, 14718, 585, 667, 299, 609, 3346, 834, 266, 322, 272, 994, 825, 3116, 912, 1038, 1820, 2891, 8253, 10858, 5602, 825, 1775, 23785, 272, 692, 2745, 2891, 10831, 540, 631, 2297, 2433, 14307, 332, 1446, 994, 2745, 2891, 10831, 540, 12339, 2297, 2433, 14307, 325, 332, 994, 2745, 2891, 10831, 540, 11524, 2433, 14307, 1278, 2020, 672, 19638, 7531, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 6129, 9947, 476, 476, 280, 476, 866, 281, 1839, 281, 4510, 476, 1001, 280, 692, 287, 10461, 281, 918, 20084, 9331, 2752, 454, 20701, 3698, 2040, 5416, 14720, 2187, 825, 2132, 513, 17070, 692, 3698, 10208, 5416, 14720, 2187, 825, 2132, 513, 1532, 692, 3698, 9062, 5416, 14720, 2187, 825, 2132, 513, 265, 321, 692, 3698, 7941, 5416, 14720, 284, 272, 2187, 825, 2132, 513, 11486, 692, 3698, 1292, 10031, 825, 2119, 2433, 3097, 1038, 1766, 663, 815, 18011, 263, 3299, 10807, 12887, 270, 12887, 265, 12887, 266, 12887, 268, 5073, 1038, 1820, 2891, 11767, 519, 9819, 5311, 4553, 676, 9373, 2433, 1422, 333, 1230, 2425, 550, 9373, 786, 1439, 707, 9273, 19515, 1038, 513, 815, 10581, 9272, 15405, 1038, 1566, 815, 3403, 4590, 1038, 536, 815, 10581, 9272, 15405, 1038, 1247, 6936, 912, 2018, 952, 630, 641, 538, 1766, 663, 2187, 3546, 952, 630, 641, 2652, 25962, 2187, 7386, 856, 815, 2040, 5416, 14720, 994, 3546, 8640, 630, 641, 2652, 25023, 2187, 7386, 856, 815, 10208, 5416, 14720, 994, 3546, 8640, 630, 641, 2652, 25952, 2187, 7386, 856, 815, 9062, 5416, 14720, 994, 3546, 8640, 630, 641, 2652, 26230, 2187, 7386, 856, 815, 7941, 5416, 14720, 994, 3546, 3116, 912, 7386, 1820, 2891, 1103, 20777, 19515, 2018, 3116, 912, 3546, 1820, 2891, 1103, 20777, 20491, 19515, 2018, 1820, 263, 719, 994, 2018, 513, 815, 856, 454, 2018, 1566, 815, 3403, 4590, 2018, 952, 630, 641, 2652, 15234, 2187, 3546, 1820, 2891, 14188, 596, 5602, 3546, 2736, 454, 2018, 536, 815, 10581, 9272, 15405, 825, 4849, 28759, 912, 1038, 1820, 2891, 19368, 13286, 9373, 22043, 10025, 15419, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 5035, 1268, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 15893, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 8542, 13246, 815, 11713, 1038, 1582, 8542, 13246, 6910, 28840, 2020, 3698, 3406, 17338, 2187, 825, 585, 1004, 538, 1592, 912, 1038, 952, 1004, 20508, 2525, 4067, 912, 2018, 2132, 1004, 454, 825, 3116, 912, 1038, 2132, 7183, 692, 3698, 4159, 17338, 2187, 825, 1820, 3488, 11243, 476, 1923, 476, 715, 9331, 289, 8991, 30386, 825, 1820, 3488, 2411, 268, 5073, 825, 585, 1004, 538, 1592, 912, 1038, 1820, 263, 15161, 20508, 267, 9166, 22207, 15161, 8542, 13246, 2020, 3698, 3406, 318, 4486, 17338, 267, 4486, 2187, 825, 1820, 28361, 333, 5073, 825, 20438, 5332, 1868, 815, 11713, 825, 585, 1004, 538, 1592, 912, 1038, 952, 1883, 538, 1004, 20508, 912, 2018, 20438, 5332, 1868, 6910, 263, 15161, 994, 825, 952, 711, 20438, 5332, 1868, 912, 1038, 1820, 2891, 8587, 2608, 7224, 1268, 1336, 609, 713, 20438, 23528, 825, 3116, 912, 1038, 1820, 2891, 293, 15903, 4408, 616, 607, 2016, 2630, 2437, 994, 1038, 7329, 284, 271, 3248, 1038, 585, 1004, 538, 20438, 5332, 1868, 912, 2018, 1820, 3488, 567, 22207, 573, 266, 272, 267, 9166, 3299, 15161, 20508, 994, 2018, 7329, 23785, 272, 454, 1038, 1820, 28361, 333, 5073, 1038, 562, 321, 815, 703, 9272, 2891, 11767, 1268, 781, 7329, 263, 6518, 568, 2854, 1354, 2012, 264, 547, 1205, 1010, 263, 615, 264, 2338, 2433, 27363, 1038, 1820, 28361, 333, 3299, 4486, 5320, 5332, 1868, 19559, 321, 268, 272, 4940, 4067, 267, 9166, 3299, 4486, 5320, 5332, 1868, 19559, 321, 268, 272, 4940, 11133, 1499, 2020, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 23922, 825, 1592, 815, 11713, 825, 14827, 815, 8771, 454, 825, 942, 815, 476, 272, 454, 825, 1247, 711, 14827, 912, 1038, 1820, 28361, 333, 5073, 1038, 4305, 815, 703, 9272, 3488, 11767, 476, 272, 263, 32697, 3346, 264, 610, 476, 273, 263, 14142, 3346, 264, 610, 476, 274, 263, 2745, 17066, 264, 610, 476, 275, 263, 1410, 527, 264, 2433, 1412, 4917, 1038, 952, 4305, 2525, 272, 912, 2018, 1820, 28361, 333, 5073, 2018, 2012, 815, 3403, 2891, 11767, 8745, 2433, 19515, 2018, 1247, 263, 12148, 2187, 3546, 15406, 815, 3403, 2891, 300, 9394, 7089, 2433, 19515, 3546, 952, 12759, 263, 11586, 264, 2525, 1015, 2187, 7386, 2119, 912, 13376, 15406, 815, 703, 263, 11586, 994, 13376, 2736, 454, 7386, 4849, 28759, 912, 13376, 1820, 2891, 8587, 3502, 513, 1297, 256, 2119, 1586, 23528, 3546, 3116, 912, 7386, 1820, 2891, 672, 2608, 921, 848, 4283, 4570, 1297, 5602, 2018, 15406, 815, 703, 263, 11586, 994, 2018, 1336, 815, 3406, 17338, 994, 2018, 952, 1336, 912, 3546, 1336, 8542, 13246, 6910, 263, 11586, 994, 2018, 3116, 912, 3546, 1592, 6910, 9638, 3205, 28442, 267, 11586, 4917, 2018, 1592, 815, 15044, 17338, 267, 1883, 284, 14433, 6221, 281, 6221, 20508, 6983, 848, 19507, 15405, 1038, 8640, 4305, 2525, 273, 912, 2018, 1820, 28361, 333, 5073, 2018, 1883, 815, 3403, 2891, 11767, 20438, 2433, 5602, 2018, 3406, 318, 4486, 17338, 267, 4486, 994, 1038, 8640, 4305, 2525, 274, 912, 2018, 1820, 28361, 333, 5073, 2018, 952, 17338, 2187, 3546, 4159, 17338, 994, 2018, 3116, 912, 3546, 1820, 2891, 8587, 2608, 23086, 298, 2465, 704, 568, 8900, 5602, 1038, 3116, 912, 2018, 14827, 815, 6936, 0, 3698, 568, 24449, 578, 601, 263, 12072, 8029, 825, 952, 4484, 538, 1412, 2801, 328, 537, 20067, 296, 5495, 262, 6769, 1038, 2132, 6936, 1477, 825, 3116, 6769, 1038, 2132, 8771, 5897, 3698, 1205, 24449, 578, 601, 18045, 263, 874, 19189, 8029, 825, 1293, 815, 476, 271, 1477, 825, 585, 669, 538, 8360, 31573, 28399, 1038, 952, 630, 529, 24449, 578, 601, 263, 577, 264, 8029, 2018, 1293, 6834, 476, 272, 1477, 825, 2132, 1293, 5897, 3698, 1205, 318, 12072, 18045, 263, 874, 19189, 8029, 825, 4484, 18045, 338, 815, 15079, 1477, 825, 585, 669, 538, 8360, 31573, 28399, 1038, 952, 669, 18994, 10401, 28399, 2018, 952, 4484, 18045, 338, 10947, 263, 577, 264, 2652, 7183, 6769, 3546, 4484, 18045, 338, 314, 577, 316, 815, 476, 271, 1477, 2018, 4484, 18045, 338, 314, 577, 316, 6834, 476, 272, 1477, 825, 2132, 4484, 18045, 338, 1477, 0, 5035, 13216, 10831, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1483, 267, 4337, 2187, 1038, 1582, 269, 9418, 815, 1483, 454, 1038, 1582, 269, 19960, 815, 4337, 692, 825, 1219, 6449, 5417, 9191, 1345, 267, 824, 2187, 1038, 1483, 815, 1582, 269, 9418, 1341, 824, 269, 9418, 454, 1038, 4337, 815, 1582, 269, 19960, 1341, 824, 269, 19960, 454, 1038, 2132, 13216, 10831, 263, 9418, 267, 4337, 2020, 825, 1219, 6449, 11357, 9191, 1345, 267, 824, 2187, 1038, 1483, 815, 1582, 269, 9418, 910, 824, 269, 9418, 454, 1038, 4337, 815, 1582, 269, 19960, 910, 824, 269, 19960, 454, 1038, 2132, 13216, 10831, 263, 9418, 267, 4337, 2020, 825, 1219, 6449, 332, 592, 9191, 1345, 267, 824, 2187, 1038, 1483, 815, 1582, 269, 9418, 2608, 824, 269, 9418, 910, 1582, 269, 19960, 2608, 824, 269, 19960, 454, 1038, 4337, 815, 1582, 269, 19960, 2608, 824, 269, 9418, 1341, 1582, 269, 9418, 2608, 824, 269, 19960, 454, 1038, 2132, 13216, 10831, 263, 9418, 267, 4337, 2020, 825, 1219, 6449, 339, 29471, 643, 9191, 1345, 267, 824, 2187, 1038, 1267, 815, 1582, 2608, 13216, 10831, 263, 1278, 269, 9418, 267, 910, 1278, 269, 19960, 994, 1038, 5223, 815, 824, 269, 9418, 2608, 824, 269, 9418, 1341, 824, 269, 19960, 2608, 824, 269, 19960, 454, 1038, 952, 5223, 11203, 476, 271, 912, 2018, 1267, 269, 9418, 1315, 284, 5223, 454, 2018, 1267, 269, 19960, 1315, 284, 5223, 454, 2018, 2132, 1267, 454, 1038, 3116, 912, 2018, 6318, 20023, 19667, 1707, 13286, 2891, 13286, 15419, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 257, 346, 1345, 269, 9418, 348, 1341, 2715, 1345, 269, 19960, 348, 329, 5016, 454, 1260, 14658, 19571, 318, 272, 815, 13216, 10831, 263, 273, 267, 476, 273, 994, 1260, 14658, 19571, 318, 273, 815, 13216, 10831, 263, 272, 267, 476, 275, 994, 1260, 14658, 19571, 318, 274, 815, 1950, 19571, 318, 272, 1341, 1950, 19571, 318, 273, 454, 1260, 14658, 19571, 318, 275, 815, 1950, 19571, 318, 272, 2608, 1950, 19571, 318, 273, 454, 1260, 14658, 19571, 318, 276, 815, 1950, 19571, 318, 272, 1315, 1950, 19571, 318, 273, 454, 2745, 263, 1260, 14658, 19571, 318, 272, 994, 2745, 263, 1260, 14658, 19571, 318, 273, 994, 2745, 263, 1260, 14658, 19571, 318, 274, 994, 2745, 263, 1260, 14658, 19571, 318, 275, 994, 2745, 263, 1260, 14658, 19571, 318, 276, 994, 0, 5035, 3733, 291, 1112, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 2608, 16911, 2187, 1038, 952, 26571, 568, 7183, 912, 2018, 1582, 11519, 18743, 815, 31460, 1038, 3116, 912, 2018, 1582, 11519, 18743, 815, 2715, 330, 281, 642, 585, 737, 267, 642, 538, 26571, 10926, 825, 1219, 6449, 1326, 14403, 9191, 1345, 267, 4994, 2187, 1038, 2132, 1582, 11519, 18743, 27709, 6540, 825, 1219, 6449, 3553, 14403, 9191, 1345, 267, 4994, 267, 1871, 2187, 1038, 1582, 11519, 18743, 27709, 316, 815, 1871, 692, 825, 1219, 1305, 18380, 4311, 267, 9598, 18425, 2187, 1038, 1582, 11519, 18743, 815, 9598, 18425, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1205, 18380, 4311, 2187, 1038, 2132, 1582, 11519, 18743, 692, 825, 1219, 6449, 5417, 9191, 1345, 267, 824, 2187, 1038, 1007, 318, 3240, 18380, 815, 3733, 291, 1112, 4590, 1038, 1007, 318, 3240, 18380, 15630, 18380, 20719, 1262, 1345, 10947, 18380, 267, 2878, 1278, 10947, 18380, 348, 994, 1038, 2132, 1007, 318, 3240, 18380, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 257, 346, 1345, 11519, 18743, 348, 5016, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 9598, 318, 272, 815, 3733, 291, 1112, 263, 2891, 4486, 318, 272, 2580, 476, 9340, 272, 1070, 9497, 4486, 318, 273, 2580, 476, 19442, 273, 4917, 825, 1820, 5560, 1112, 318, 272, 994, 825, 9598, 318, 272, 14277, 4486, 318, 274, 19312, 815, 476, 18357, 274, 454, 825, 1820, 5560, 1112, 318, 272, 994, 825, 9598, 318, 273, 815, 3733, 291, 1112, 4590, 825, 1820, 5560, 1112, 318 ]

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

[ 563, 290, 727, 909, 609, 513, 1906, 8424, 540, 14511, 602, 3406, 585, 519, 1482, 1543, 593, 962, 19834, 855, 267, 609, 11029, 2242, 538, 2262, 532, 267, 2097, 909, 609, 2164, 3833, 1114, 538, 1915, 269, 4595, 649, 666, 1406, 581, 2386, 547, 1205, 519, 1482, 2164, 596, 798, 267, 2995, 721, 1018, 519, 14511, 3132, 543, 1946, 596, 1589, 1346, 4093, 616, 3648, 1114, 269, 0, 5978, 21101, 786, 2689, 602, 799, 596, 4076, 4843, 543, 3313, 2436, 547, 23590, 713, 2376, 563, 268, 30561, 654, 3558, 5525, 1107, 8866, 15610, 630, 288, 2471, 476, 279, 268, 1556, 994, 268, 30561, 18338, 2090, 1107, 9906, 15610, 630, 1417, 3753, 476, 1556, 610, 811, 994, 21946, 655, 18338, 2090, 267, 630, 18907, 476, 15433, 273, 1700, 9802, 476, 15433, 274, 1070, 538, 3345, 7819, 3140, 2250, 267, 513, 1297, 540, 1382, 543, 30201, 1903, 602, 13251, 476, 866, 1336, 16944, 968, 342, 9662, 892, 568, 554, 6548, 543, 1034, 1585, 824, 31268, 3478, 16876, 538, 30561, 2146, 3330, 519, 12590, 7345, 9566, 630, 2431, 1631, 8355, 951, 267, 12590, 1916, 7093, 322, 1047, 569, 1018, 15427, 519, 30561, 18338, 8062, 888, 1103, 3735, 476, 8182, 271, 338, 519, 30561, 22810, 2146, 883, 519, 12590, 575, 5285, 2051, 3415, 630, 9690, 569, 8355, 951, 267, 12590, 264, 729, 9425, 4130, 982, 3328, 4358, 513, 942, 1974, 540, 2042, 609, 2370, 547, 1100, 13338, 5796, 269, 1703, 729, 513, 1514, 7941, 11341, 547, 519, 3056, 2516, 543, 513, 8237, 1063, 2516, 799, 616, 585, 543, 1996, 519, 8498, 779, 18960, 2250, 528, 267, 15656, 623, 1551, 529, 269, 2991, 930, 2370, 6690, 593, 519, 4884, 630, 320, 7008, 540, 873, 6935, 540, 623, 1551, 529, 264, 3323, 7713, 8966, 6208, 543, 6474, 267, 891, 941, 24016, 547, 5431, 519, 1268, 945, 4607, 581, 342, 17097, 782, 540, 873, 269, 4256, 1880, 16861, 25197, 725, 5795, 1505, 547, 8062, 267, 1728, 3122, 807, 267, 543, 513, 535, 1066, 5414, 602, 1291, 547, 811, 31482, 267, 2356, 1063, 519, 18312, 2516, 563, 8649, 870, 2043, 941, 7166, 3330, 30561, 18338, 4255, 888, 307, 578, 1841, 519, 1439, 689, 519, 30561, 18338, 2090, 267, 476, 866, 4896, 723, 1044, 554, 6548, 543, 476, 276, 824, 11570, 723, 1163, 1600, 538, 26692, 269, 769, 1840, 267, 835, 1131, 581, 2182, 20399, 9944, 2597, 344, 10007, 2394, 789, 1163, 1600, 563, 1692, 1705, 519, 30561, 18338, 2090, 3247, 888, 5475, 4374, 540, 13016, 5873, 902, 267, 11184, 5261, 623, 4721, 267, 17294, 3823, 519, 12590, 575, 5285, 2051, 3415, 267, 954, 1027, 539, 547, 1039, 930, 1106, 1275, 547, 519, 18659, 269, 4438, 519, 1310, 12405, 513, 2603, 540, 2090, 941, 5342, 513, 2603, 540, 2043, 16876, 269, 4595, 519, 2090, 30174, 267, 25197, 725, 561, 1263, 6533, 539, 3564, 30561, 4884, 547, 536, 867, 1359, 10034, 269, 2991, 17135, 623, 4721, 779, 8004, 23136, 993, 26582, 267, 519, 18560, 1586, 954, 1027, 539, 543, 10288, 602, 513, 4195, 519, 5480, 3336, 1745, 1305, 909, 602, 1131, 711, 1175, 1577, 865, 10777, 19706, 2963, 269, 1635, 2904, 476, 15433, 274, 16764, 538, 26692, 896, 10385, 540, 24235, 610, 5134, 6412, 540, 31783, 8694, 909, 533, 731, 19861, 676, 623, 4721, 563, 2750, 18075, 1018, 568, 519, 1686, 540, 519, 30561, 18338, 2090, 888, 763, 5734, 11399, 2173, 1170, 2511, 950, 519, 30561, 18338, 2090, 17663, 5342, 3773, 547, 19260, 538, 772, 2529, 269, 3656, 5773, 267, 971, 607, 1318, 547, 16048, 6041, 543, 3444, 7721, 8727, 540, 934, 22852, 543, 519, 16912, 1632, 602, 1978, 568, 20027, 2394, 9863, 3983, 269, 634, 30561, 2090, 849, 4797, 3478, 513, 3532, 14165, 585, 707, 1884, 545, 2174, 684, 626, 5873, 902, 3366, 676, 772, 2529, 269, 7354, 269, 9478, 5062, 10111, 20321, 3330, 4414, 8710, 609, 519, 476, 4198, 271, 338, 267, 28020, 607, 14880, 16019, 779, 14336, 5566, 723, 1187, 609, 519, 14265, 24862, 630, 4198, 274, 1916, 763, 2238, 538, 30561, 538, 476, 15433, 273, 941, 855, 835, 10126, 538, 606, 6905, 1650, 540, 18338, 6968, 338, 602, 3323, 538, 2342, 1063, 476, 9873, 271, 543, 476, 15836, 271, 543, 11943, 538, 519, 8545, 476, 1240, 628, 26992, 630, 583, 559, 1944, 519, 3105, 9833, 2773, 585, 31783, 8345, 538, 16848, 538, 3798, 514, 7921, 26603, 677, 476, 9965, 273, 1040, 634, 30561, 2090, 5949, 16607, 3330, 3126, 267, 607, 4166, 607, 519, 705, 622, 618, 3823, 519, 3864, 18338, 3620, 2863, 535, 969, 712, 267, 799, 8445, 539, 689, 707, 476, 15647, 271, 338, 543, 11313, 407, 373, 407, 364, 338, 593, 519, 476, 14321, 271, 338, 543, 11313, 407, 368, 407, 364, 338, 269, 2368, 1614, 21144, 2195, 540, 891, 3864, 18338, 6968, 338, 7018, 538, 7262, 5125, 267, 519, 8899, 3148, 267, 5333, 267, 7187, 7977, 267, 543, 16848, 269, 634, 7274, 540, 2090, 543, 4291, 1903, 9867, 4080, 593, 942, 543, 4055, 267, 855, 621, 568, 3622, 6340, 2808, 602, 930, 476, 8099, 267, 1822, 7606, 2949, 1185, 1044, 6836, 585, 31783, 543, 1063, 476, 2412, 267, 1822, 547, 476, 2568, 267, 1822, 17663, 6192, 563, 763, 968, 327, 2863, 338, 892, 5949, 547, 581, 960, 547, 2697, 26734, 3079, 18697, 540, 606, 1367, 945, 1185, 1044, 5892, 2808, 547, 581, 26734, 269, 654, 9662, 17663, 1634, 547, 581, 3988, 540, 30616, 602, 814, 11751, 543, 4421, 741, 2189, 1004, 585, 741, 5351, 269, 898, 814, 1044, 2808, 602, 891, 1004, 1031, 1629, 976, 547, 3035, 22539, 23339, 267, 1004, 8719, 689, 2043, 547, 3662, 1826, 610, 689, 1175, 835, 2123, 1826, 547, 513, 1007, 267, 602, 2831, 1969, 539, 607, 741, 968, 325, 13399, 18565, 2223, 543, 602, 789, 887, 1372, 998, 519, 10450, 693, 3781, 547, 9286, 11401, 543, 610, 326, 625, 269, 1411, 786, 1265, 6263, 8969, 602, 1082, 2043, 7307, 547, 798, 10847, 519, 26881, 543, 2119, 547, 5721, 22408, 1356, 344, 609, 22247, 30254, 269, 1717, 267, 1100, 835, 5892, 22993, 519, 2856, 540, 513, 968, 342, 3558, 892, 607, 4505, 6829, 563, 763, 5106, 540, 7114, 26734, 1305, 856, 609, 22027, 610, 15555, 2293, 269, 6452, 639, 725, 1287, 4553, 267, 1419, 32117, 547, 4978, 543, 4291, 1903, 269, 634, 30561, 18338, 2090, 543, 4291, 1903, 3357, 883, 1373, 1813, 547, 513, 3099, 540, 16008, 2229, 267, 3237, 21535, 338, 267, 543, 1728, 3122, 673, 3214, 267, 2609, 602, 11200, 539, 538, 513, 12511, 15777, 540, 22257, 14643, 563, 20278, 519, 2344, 454, 2467, 723, 1044, 1079, 6428, 2114, 998, 519, 1517, 730, 476, 1704, 628, 476, 1911, 1296, 281, 513, 14297, 16450, 15129, 22426, 2486, 593, 12590, 26654, 3957, 30561, 4087, 267, 799, 786, 4434, 883, 4207, 30561, 267, 543, 267, 10199, 476, 1015, 1279, 9883, 630, 1626, 12919, 264, 24654, 689, 1210, 621, 267, 513, 4130, 267, 25013, 3395, 8378, 540, 930, 476, 4335, 1367, 17019, 30561, 4884, 269, 634, 2146, 3294, 4810, 513, 18476, 2123, 15652, 799, 729, 1500, 8338, 676, 513, 31195, 1063, 922, 1079, 11967, 3885, 9789, 1134, 13463, 601, 539, 623, 13024, 267, 945, 1185, 14463, 14479, 609, 30561, 16011, 779, 3638, 3549, 267, 543, 519, 10925, 333, 4461, 267, 945, 4941, 1732, 13190, 585, 922, 2146, 543, 616, 519, 3044, 15515, 31600, 707, 1447, 3491, 338, 704, 748, 21737, 5321, 269, 8293, 629, 7632, 936, 7221, 17663, 22232, 267, 543, 1396, 16406, 1145, 1185, 1044, 19856, 656, 269, 0, 4407, 23679, 596, 4465, 1406, 2154, 3573, 5959, 960, 2429, 707, 1272, 267, 3006, 621, 779, 2556, 547, 1294, 513, 11285, 543, 4309, 2126, 3544, 540, 6296, 2973, 902, 543, 824, 5959, 5773, 269, 2334, 779, 1141, 7189, 899, 26966, 1235, 2097, 538, 267, 945, 616, 12665, 602, 4308, 609, 519, 3889, 540, 707, 4522, 269, 3371, 616, 513, 1906, 2101, 3604, 1063, 606, 26966, 626, 543, 707, 2834, 11290, 563, 6097, 547, 5680, 13270, 267, 519, 2596, 4214, 540, 1018, 606, 26966, 626, 1281, 568, 20647, 538, 3889, 540, 519, 4522, 267, 543, 875, 547, 2953, 873, 952, 991, 581, 269, 1358, 4196, 1004, 540, 782, 6502, 267, 8151, 689, 1507, 1453, 547, 4587, 4079, 267, 1498, 930, 723, 513, 1808, 1445, 593, 12963, 338, 269, 769, 824, 1913, 267, 606, 26966, 626, 568, 519, 4387, 596, 979, 547, 1294, 585, 30997, 3457, 899, 25329, 543, 11677, 619, 267, 6466, 513, 11290, 9388, 609, 1169, 1554, 1416, 543, 12863, 5773, 899, 30836, 610, 3597, 23668, 602, 1810, 1406, 2154, 12362, 6391, 563, 29973, 569, 267, 952, 596, 991, 25329, 267, 11677, 619, 267, 610, 824, 3457, 547, 7369, 543, 2953, 519, 2497, 540, 707, 4522, 585, 2175, 971, 607, 936, 321, 2572, 267, 3444, 321, 2572, 267, 7715, 3429, 267, 610, 19514, 19437, 267, 547, 2012, 1175, 513, 1906, 267, 596, 3580, 991, 547, 1294, 606, 26966, 626, 563, 2252, 596, 2461, 538, 991, 540, 513, 26966, 626, 267, 853, 269, 8402, 814, 11206, 5244, 15482, 799, 568, 835, 540, 519, 4686, 782, 2987, 14633, 2853, 1141, 789, 798, 1082, 5773, 543, 723, 12665, 782, 896, 835, 8122, 269, 3509, 2053, 267, 5959, 13646, 1810, 1406, 723, 12665, 538, 27440, 267, 543, 596, 786, 991, 547, 2951, 12341, 3116, 269, 1403, 713, 568, 519, 2013, 267, 1498, 267, 519, 1655, 1259, 547, 1265, 606, 26966, 626, 568, 547, 979, 676, 7840, 269, 2913, 707, 11290, 3277, 596, 547, 606, 26966, 626, 789, 2461, 1031, 547, 2324, 609, 267, 855, 1287, 1118, 2386, 547, 798, 707, 1382, 593, 519, 1268, 269, 6733, 909, 3461, 8039, 543, 2307, 1472, 547, 1118, 2386, 602, 519, 4387, 596, 4076, 1044, 5219, 547, 568, 6325, 269, 5213, 1406, 7340, 547, 849, 2638, 2436, 789, 2461, 606, 538, 5991, 564, 1740, 8502, 585, 707, 5959, 6142, 267, 2094, 621, 3587, 1454, 811, 7199, 543, 972, 779, 1100, 10018, 602, 707, 11290, 786, 917, 563, 19284, 513, 11290, 945, 596, 3580, 1294, 585, 2834, 267, 6296, 2638, 13522, 267, 2973, 902, 267, 543, 519, 17573, 11423, 610, 3597, 12324, 267, 543, 26966, 626, 568, 513, 4387, 945, 596, 979, 547, 585, 513, 15360, 585, 1761, 2126, 269, 1403, 596, 2461, 513, 11134, 547, 4309, 513, 30997, 3926, 267, 1287, 2834, 1246, 909, 11564, 585, 6514, 543, 11941, 786, 581, 2556, 269, 25547, 1516, 26966, 545, 2126, 666, 1491, 1296, 267, 543, 3340, 513, 2603, 540, 5826, 269, 2659, 11290, 786, 849, 581, 538, 2834, 3346, 609, 707, 26966, 626, 267, 543, 1022, 824, 4387, 602, 9388, 609, 707, 5959, 1416, 267, 547, 2327, 602, 707, 31458, 540, 1416, 568, 1655, 585, 596, 563, 763, 2596, 3017, 1063, 513, 11290, 543, 606, 26966, 626, 568, 13380, 547, 513, 2834, 2489, 4387, 8957, 513, 11285, 269, 1879, 596, 979, 585, 513, 2168, 267, 585, 1383, 267, 952, 707, 3119, 1416, 10629, 9060, 1945, 602, 2115, 3007, 689, 513, 11285, 267, 789, 3580, 6494, 596, 547, 1776, 4387, 269, 1403, 596, 723, 606, 22377, 267, 1287, 596, 3580, 581, 2366, 547, 513, 12884, 10938, 6048, 945, 24870, 538, 602, 1826, 540, 4915, 269, 898, 779, 513, 2147, 2013, 609, 513, 11290, 543, 26966, 1235, 269, 0, 347, 10817, 652, 11000, 1315, 1883, 16694, 4633, 454, 1475, 302, 1537, 6881, 630, 6748, 24384, 990, 529, 783, 1570, 543, 2875, 5872, 264, 2966, 547, 10141, 1702, 543, 5000, 1565, 269, 10558, 725, 540, 713, 1826, 616, 1585, 569, 5219, 547, 607, 2048, 1410, 1842, 7480, 1505, 8730, 2048, 7666, 652, 15872, 685, 610, 2048, 651, 2106, 1774, 18531, 9957, 630, 763, 2165, 2048, 651, 2106, 1774, 685, 4016, 1152, 547, 513, 1826, 540, 4633, 9447, 593, 2027, 14026, 267, 585, 799, 519, 11000, 5036, 519, 3159, 610, 20964, 519, 5817, 6249, 282, 621, 568, 27537, 676, 922, 10058, 1543, 267, 2497, 543, 3483, 267, 543, 12346, 3592, 14311, 593, 519, 9275, 2262, 547, 5968, 922, 2093, 8094, 1475, 20797, 2861, 1565, 1505, 5473, 2238, 971, 607, 23405, 267, 5751, 267, 6901, 543, 1382, 563, 1475, 24309, 1565, 3356, 1449, 267, 27537, 676, 840, 1673, 17827, 4267, 269, 4270, 27059, 4255, 2709, 1843, 1947, 3067, 16666, 2164, 538, 6935, 547, 2875, 1702, 267, 19206, 267, 1983, 267, 2773, 267, 19038, 6421, 267, 10182, 267, 4987, 267, 3092, 269, 13242, 585, 10368, 267, 24233, 543, 14805, 894, 4879, 269, 2904, 2874, 540, 782, 610, 1022, 540, 519, 1739, 2010, 540, 2055, 281, 2789, 3903, 267, 19280, 543, 15971, 267, 2110, 2626, 267, 9352, 267, 12032, 267, 2789, 12805, 269, 0, 763 ]

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

[ 23762, 585, 519, 6486, 269, 901, 729, 3533, 6439, 1881, 1310, 513, 1906, 7391, 609, 1864, 543, 646, 729, 2111, 547, 556, 11904, 519, 2592, 538, 476, 275, 343, 519, 3312, 2450, 609, 1100, 6749, 538, 2298, 563, 8248, 518, 543, 20131, 5955, 543, 875, 713, 6766, 1250, 960, 454, 7021, 519, 1576, 540, 1250, 1788, 267, 519, 1788, 814, 1044, 8185, 3310, 676, 5955, 689, 1312, 519, 3077, 5304, 607, 1134, 607, 1250, 21493, 543, 9905, 269, 634, 3355, 2856, 5249, 1472, 519, 2856, 547, 1711, 2901, 513, 4604, 3014, 610, 3556, 1759, 3014, 1305, 1472, 519, 2856, 540, 513, 14480, 613, 976, 543, 28463, 976, 873, 539, 7045, 269, 2991, 5955, 689, 9905, 594, 4956, 2870, 513, 4604, 3014, 1131, 711, 581, 519, 1655, 1576, 540, 2962, 543, 1131, 2154, 513, 2603, 540, 1646, 547, 1118, 811, 5078, 585, 513, 1126, 282, 2864, 982, 513, 3556, 3014, 267, 799, 568, 20244, 12863, 538, 1523, 585, 513, 1126, 547, 1174, 563, 763, 3355, 1523, 1148, 585, 519, 3556, 729, 22350, 7294, 543, 1131, 723, 3361, 513, 2603, 540, 10539, 585, 1453, 269, 898, 16922, 540, 1896, 1114, 28135, 267, 513, 1377, 532, 543, 1072, 2964, 545, 607, 1134, 607, 476, 273, 1983, 799, 1131, 723, 2016, 519, 1453, 2484, 1932, 1454, 547, 4383, 538, 513, 3556, 3014, 543, 1131, 1033, 847, 689, 519, 1565, 3693, 269, 3733, 3879, 15249, 729, 519, 1268, 945, 8385, 5795, 803, 519, 2856, 547, 3095, 519, 6486, 547, 2055, 998, 513, 2864, 1279, 4901, 827, 519, 2470, 540, 519, 3014, 1018, 1148, 2511, 1131, 1655, 9290, 621, 563, 288, 2603, 540, 519, 3014, 779, 1374, 543, 519, 11707, 540, 621, 607, 513, 2898, 3357, 689, 9263, 5955, 543, 4901, 269, 1280, 1383, 4901, 6486, 1373, 5916, 609, 2243, 6486, 3357, 689, 513, 6643, 594, 1185, 609, 513, 2385, 4171, 1126, 4769, 1406, 899, 3478, 2055, 4636, 543, 713, 849, 1291, 547, 519, 3442, 707, 1378, 7045, 3693, 711, 2348, 513, 5821, 1533, 865, 596, 666, 2760, 6336, 563, 763, 2898, 5137, 1184, 729, 8185, 12936, 609, 519, 5955, 540, 1866, 269, 5071, 2609, 971, 607, 519, 3556, 1374, 729, 6766, 513, 2603, 676, 519, 623, 758, 2946, 3000, 9467, 3556, 3014, 607, 1134, 607, 602, 540, 519, 3014, 631, 4875, 7219, 269, 1717, 267, 607, 23576, 2429, 1250, 5816, 267, 594, 723, 8854, 998, 513, 2603, 540, 1114, 6272, 269, 1280, 1383, 267, 519, 7990, 10325, 729, 12012, 2789, 1114, 2053, 1813, 547, 5955, 689, 9905, 17548, 519, 4769, 1406, 3494, 1453, 1131, 899, 519, 18632, 543, 811, 18233, 856, 18565, 594, 8385, 13603, 563, 763, 1148, 2511, 3294, 4682, 998, 513, 1906, 1114, 2242, 849, 269, 3245, 519, 3312, 1523, 1148, 547, 519, 3803, 8737, 6486, 814, 8854, 998, 1082, 2101, 2242, 269, 17616, 519, 11247, 729, 513, 2603, 811, 6738, 909, 543, 10728, 3168, 607, 1134, 607, 513, 2034, 5373, 799, 8604, 811, 795, 990, 658, 267, 799, 594, 1287, 2813, 513, 8908, 25549, 1374, 1210, 6337, 7749, 269, 634, 811, 10728, 3168, 717, 984, 4802, 7990, 2213, 5373, 729, 12995, 609, 16503, 15249, 269, 634, 3879, 15249, 1287, 1031, 1250, 5955, 547, 1711, 513, 18920, 1148, 2511, 3803, 5373, 269, 2353, 1614, 6272, 941, 3254, 547, 513, 1126, 543, 729, 1287, 4280, 799, 789, 9053, 269, 901, 729, 540, 1390, 5491, 547, 1250, 1788, 607, 621, 4847, 547, 4603, 609, 1114, 6272, 538, 1931, 547, 1655, 9029, 547, 519, 3077, 5304, 269, 11109, 519, 5967, 1184, 2731, 5280, 547, 3310, 20599, 6272, 563, 14454, 519, 5955, 1184, 729, 17170, 547, 519, 5137, 547, 1250, 1788, 269, 9453, 782, 519, 5955, 1250, 1788, 1131, 723, 1044, 1360, 21176, 25224, 539, 2469, 1055, 1250, 1378, 2123, 1374, 5079, 799, 941, 711, 2141, 1034, 2500, 269, 11109, 811, 1004, 547, 1413, 936, 543, 9263, 6218, 1250, 960, 814, 12936, 1250, 960, 8185, 676, 1818, 803, 1413, 693, 2609, 689, 1114, 7285, 543, 2015, 875, 713, 1131, 1413, 538, 519, 4064, 540, 2576, 609, 1100, 1702, 540, 519, 3014, 269, 634, 3556, 3014, 689, 3355, 1523, 814, 7960, 1454, 811, 1813, 547, 713, 5955, 689, 519, 3014, 11707, 547, 519, 1374, 540, 519, 6044, 8261, 563, 763, 1983, 594, 723, 2919, 543, 19927, 998, 713, 1788, 723, 1044, 540, 1390, 5491, 547, 803, 543, 786, 15983, 4196, 803, 1134, 538, 519, 3803, 1788, 543, 538, 513, 2104, 4876, 2619, 538, 19761, 269, 3414, 713, 1788, 649, 4988, 513, 2603, 540, 1983, 11341, 547, 1374, 267, 713, 24132, 689, 1462, 2762, 543, 29282, 547, 875, 547, 946, 23489, 16503, 15249, 563, 26212, 547, 713, 1788, 519, 1292, 2609, 540, 1250, 960, 594, 723, 2141, 17388, 609, 941, 538, 14621, 547, 1374, 269, 594, 993, 1360, 2555, 21154, 543, 25401, 2247, 539, 543, 4061, 723, 2141, 1336, 3860, 1374, 1360, 2352, 269, 1717, 998, 519, 15872, 4843, 2429, 713, 1788, 594, 723, 1044, 2111, 547, 4019, 1250, 1259, 540, 3206, 547, 1374, 563, 1103, 14621, 547, 1462, 2762, 594, 1185, 2141, 3144, 519, 1291, 998, 30228, 4540, 1570, 267, 799, 1247, 2500, 1281, 711, 2141, 1917, 3318, 1143, 269, 3414, 17634, 543, 513, 4514, 1620, 540, 519, 3069, 4478, 519, 2093, 540, 5395, 604, 543, 590, 753, 5395, 604, 267, 594, 729, 2111, 547, 4019, 713, 7954, 883, 1250, 1382, 950, 3168, 883, 1462, 2762, 538, 4540, 1453, 779, 1570, 269, 901, 849, 1291, 547, 803, 1373, 2111, 547, 7522, 1524, 5079, 540, 13944, 543, 2744, 5955, 593, 799, 13944, 5249, 1655, 998, 519, 946, 540, 513, 5619, 547, 946, 585, 3556, 26333, 269, 3414, 1250, 1382, 543, 1620, 540, 1462, 2762, 594, 729, 1287, 2111, 547, 4584, 606, 2653, 547, 1224, 543, 2241, 13944, 585, 519, 2243, 543, 11963, 6486, 6609, 1257, 563, 1103, 2474, 540, 1374, 594, 723, 2097, 513, 1279, 1259, 998, 713, 1788, 269, 2060, 519, 3355, 1376, 540, 713, 1788, 594, 729, 3833, 14221, 827, 2436, 594, 1223, 3132, 1945, 3860, 538, 799, 594, 7948, 1406, 1175, 1491, 4540, 1570, 543, 4019, 621, 547, 1250, 960, 269, 594, 7012, 1406, 2870, 1945, 585, 606, 4540, 2754, 269, 901, 5921, 538, 14621, 547, 1374, 594, 1185, 547, 1491, 6667, 689, 4540, 1570, 855, 711, 973, 11661, 610, 900, 6819, 519, 1570, 2907, 538, 6228, 269, 3733, 6026, 8400, 593, 519, 946, 540, 11768, 543, 1374, 723, 5280, 30140, 269, 13405, 547, 713, 1788, 594, 1031, 547, 6460, 6272, 883, 513, 3126, 540, 2338, 971, 607, 1858, 540, 1257, 543, 519, 15558, 547, 519, 2427, 540, 519, 2985, 269, 901, 5921, 594, 1223, 1711, 1984, 22015, 516, 4977, 9903, 725, 855, 789, 941, 711, 1945, 5499, 610, 3312, 269, 3767, 594, 723, 513, 2417, 1620, 540, 2942, 2230, 267, 7990, 14565, 543, 13307, 540, 2592, 547, 1463, 519, 5304, 779, 22401, 269, 2353, 891, 1983, 13745, 609, 519, 1603, 11768, 3069, 689, 2063, 1032, 3947, 803, 513, 1434, 1620, 540, 875, 547, 1711, 513, 1134, 2966, 4062, 540, 1603, 609, 513, 1134, 1500, 11768, 547, 4324, 519, 5467, 543, 1832, 741, 3007, 563, 1103, 14621, 547, 23489, 16503, 15249, 519, 1292, 5578, 594, 19927, 689, 891, 7886, 729, 519, 1840, 540, 713, 3301, 883, 1250, 2907, 5318, 1620, 540, 3318, 1377, 3301, 269, 634, 1292, 2460, 540, 713, 3301, 594, 1031, 729, 602, 540, 3239, 10250, 269, 901, 5280, 803, 7753, 1250, 17418, 547, 1711, 2592, 538, 519, 2757, 2631, 543, 3079, 4847, 803, 547, 12575, 4540, 11052, 543, 18935, 1047, 621, 9935, 547, 1711, 1434, 2298, 10080, 585, 1250, 6486, 269, 2986, 782, 519, 1983, 594, 723, 19927, 2429, 713, 1788, 891, 616, 519, 3283, 602, 1034, 12936, 519, 1788, 1813, 547, 621, 4625, 4657, 1250, 4282, 1374, 689, 519, 3625, 15437, 547, 1945, 811, 11617, 2502, 269, 2755, 594, 1810, 1406, 20053, 547, 581, 1210, 713, 538, 1250, 3803, 2101, 1788, 630, 553, 594, 20053, 547, 798, 513, 3381, 4062, 264, 621, 1869, 2337, 547, 2087, 1250, 2308, 268, 1464, 543, 786, 1118, 803, 811, 13267, 547, 1761, 12820, 1813, 547, 6029, 1250, 17545, 269, 901, 814, 849, 3254, 594, 666, 3533, 4584, 909, 543, 946, 1007, 3301, 547, 1711, 513, 3318, 2298, 4062, 563, 7628, 1250, 1788, 594, 11402, 3833, 513, 1297, 540, 2042, 269, 634, 5354, 540, 891, 941, 5266, 5634, 543, 941, 6378, 1369, 513, 12905, 6752, 610, 513, 960, 1472, 729, 6913, 563, 288, 1297, 540, 2042, 7018, 689, 2324, 609, 513, 3523, 1807, 269, 1234, 2391, 593, 1776, 1268, 945, 814, 513, 1114, 8430, 547, 8885, 729, 3833, 2352, 269, 9181, 687, 7018, 693, 1360, 9642, 2053, 543, 941, 2182, 547, 6582, 543, 4061, 594, 1185, 547, 21138, 1808, 5712, 540, 942, 547, 1865, 519, 1788, 543, 2285, 5955, 547, 1250, 3879, 15249, 269, 1717, 2899, 594, 3893, 513, 2489, 2856, 540, 519, 8430, 540, 1250, 3879, 15249, 594, 24458, 602, 594, 1185, 942, 547, 1865, 543, 2285, 5955, 547, 1864, 538, 1931, 547, 2285, 4287, 543, 723, 6905, 4901, 593, 519, 14960, 540, 519, 3014, 269, 594, 849, 1336, 602, 972, 941, 7182, 547, 1250, 3879, 21116, 2702, 547, 1711, 2592, 543, 602, 646, 729, 849, 3833, 6213, 950, 621, 3357, 547, 1010, 11247, 269, 1261, 729, 8572, 547, 630, 663, 3833, 31464, 264, 547, 1711, 1480, 1915, 11247, 585, 519, 5049, 543, 3079, 1500, 27291, 607, 621, 729, 1945, 646, 729, 811, 6899, 609, 269, 901, 6743, 1434, 543, 3318, 543, 14018, 519, 1148, 4287, 540, 519, 3014, 267, 2705, 646, 1705, 865, 609, 1100, 4287, 543, 1705, 865, 540, 1010, 1378, 11063, 269, 901, 729, 5594, 16609, 855, 1705, 960, 1472, 1010, 2152, 609, 1480, 3197, 269, 1261, 849, 729, 1360, 1055, 2105, 950, 594, 3576, 930, 540, 1010, 1523, 1148, 543, 12995, 621, 538, 16503, 15249, 547, 946, 585, 1148, 4287, 543, 607, 513, 2009, 1374, 3903, 269, 1261, 15189, 547, 1118, 15042, 15513, 12400, 543, 1767, 621, 729, 29405, 532, 547, 7369, 1010, 11247, 1510, 1010, 10479, 269, 594, 23294, 2213, 543, 4061, 1185, 547, 2307, 585, 10479, 2469, 4464, 538, 1931, 547, 2057, 29405, 532, 1864, 2417, 269, 4495, 621, 729, 6045, 547, 1864, 602, 713, 729, 607, 547, 4603, 538, 1931, 547, 3035, 1978, 7355, 585, 1250, 1788, 646, 729, 811, 16561, 540, 519, 2856, 269, 1717, 267, 1813, 547, 1010, 1719, 538, 18920, 1148, 729, 1360, 5462, 602, 602, 729, 519, 1152, 2511, 540, 11247, 646, 1131, 1711, 563, 296, 1287, 3459, 547, 1413, 883, 824, 2959, 585, 1250, 11247, 538, 2013, 519, 1148, 2511, 729, 711, 9053, 676, 519, 1126, 594, 26906, 269, 24664, 1176, 519, 1126, 1336, 519, 18920, 1148, 1374, 18056, 1864, 540, 3381, 3014, 3197, 543, 10150, 519, 1148, 2511, 30140, 269, 4033, 982, 713, 519, 3879, 15249, 729, 6126, 2921, 4287, 267, 19249, 3556, 6272, 543, 5795, 803, 782, 519, 3803, 11247, 676, 519, 21120, 594, 4280, 540, 1864, 269, 15788, 713, 1995, 814, 2016, 803, 513, 2603, 540, 2792, 1983, 594, 666, 1491, 4464, 883, 2872, 950, 2324, 609, 1866, 269, 594, 786, 1491, 713, 4464, 538, 1250, 3803, 1788, 538, 799, 594, 786, 581, 1210, 513, 2603, 540, 824, 1004, 547, 4670, 538, 799, 594, 786, 581, 2870, 513, 17245, 269, 594, 786, 581, 8185, 882, 5050, 593, 1866, 538, 713, 543, 4061, 786, 991, 547, 4019, 891, 1983, 950, 3001, 4464, 538, 1250, 2104, 1788, 543, 4876, 563, 5194, 1966, 594, 1185, 729, 602, 540, 2870, 513, 1374, 585, 1250, 3556, 29282, 602, 6743, 3318, 269, 898, 729, 1360, 2352, 547, 1265, 513, 17598, 3168, 4282, 543, 585, 513, 1279, 1247, 594, 12758, 609, 533, 1105, 618, 547, 3514, 609, 519, 6249, 540, 606, 7045, 1650, 269, 1717, 267, 621, 6743, 1932, 2147, 547, 631, 4875, 7219, 779, 11768, 543, 594, 4941, 547, 581, 811, 3312, 269, 898, 729, 1472, 713, 942, 594, 3459, 547, 723, 15872, 593, 16503, 15249, 799, 4847, 803, 547, 11571, 538, 11247, 543, 946, 3239, 10250, 269, 594, 3533, 1483, 2213, 972, 729, 513, 7990, 4183, 593, 713, 4781, 543, 6743, 883, 19234, 609, 4890, 11147, 547, 1118, 18935, 2213, 10080, 269, 594, 1287, 3576, 10080, 1141, 594, 16545, 891, 7068, 1373, 1305, 543, 12012, 4540, 2592, 269, 1452, 1007, 18935, 2213, 2592, 941, 1175, 1018, 594, 1185, 4941, 547, 1711, 543, 609, 519, 1007, 1983, 6591, 998, 16503, 15249, 594, 1705, 711, 723, 547, 7048, 593, 4896, 3116, 547, 1711, 873, 269, 1358, 941, 2656, 543, 2241, 547, 1711, 543, 14018, 519, 1148 ]

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

[ 782, 824, 3872, 7475, 1403, 596, 616, 10478, 585, 3450, 1570, 267, 723, 513, 1413, 693, 938, 834, 13981, 10049, 543, 13088, 2668, 634, 11300, 12780, 12689, 14998, 519, 1863, 946, 269, 15766, 908, 1053, 1377, 540, 2565, 3206, 2066, 14292, 634, 946, 540, 9840, 607, 606, 14292, 4640, 2337, 1020, 1053, 2565, 1434, 1913, 547, 946, 538, 513, 10388, 4633, 24021, 1382, 593, 1514, 2923, 946, 538, 2069, 281, 513, 1353, 540, 4744, 31277, 282, 18281, 19331, 731, 513, 1455, 1620, 540, 1382, 2861, 14292, 2994, 282, 15043, 11879, 15154, 538, 5441, 15789, 267, 21142, 1234, 14852, 267, 31722, 5098, 593, 954, 331, 4833, 22964, 3901, 923, 16930, 3872, 6859, 2553, 1031, 676, 9946, 585, 7580, 543, 585, 10512, 13290, 547, 6536, 11036, 2921, 267, 2565, 3206, 267, 25107, 543, 563, 587, 508, 30210, 11879, 15154, 2598, 6570, 22802, 892, 729, 1031, 269, 10457, 585, 513, 3450, 2022, 585, 4914, 1893, 1378, 609, 593, 606, 3328, 1647, 547, 2864, 1970, 7678, 11150, 585, 3384, 2565, 3206, 281, 1411, 1118, 519, 3017, 538, 519, 269, 5918, 651, 9972, 5098, 737, 13873, 7640, 523, 634, 674, 870, 553, 1299, 623, 4883, 749, 32653, 532, 6651, 476, 273, 267, 585, 24366, 281, 15154, 267, 32695, 267, 543, 5675, 3568, 5730, 1893, 547, 946, 950, 3450, 267, 20872, 585, 267, 14027, 6323, 536, 513, 273, 17440, 476, 273, 269, 274, 2677, 21564, 1966, 6061, 543, 8097, 4640, 1702, 1547, 10371, 6267, 547, 10536, 1582, 19543, 267, 3621, 3206, 267, 2565, 3206, 267, 543, 1966, 9241, 2919, 3450, 1982, 729, 1031, 547, 4001, 519, 6304, 1895, 1247, 563, 9743, 2315, 531, 11150, 269, 901, 4640, 11414, 1053, 875, 547, 1491, 4967, 543, 10891, 3391, 14374, 883, 2542, 676, 3408, 540, 2565, 2055, 269, 12833, 6295, 1053, 538, 2565, 3206, 543, 3498, 540, 741, 1702, 269, 901, 2882, 4989, 476, 1001, 272, 281, 968, 18183, 12787, 3070, 2994, 538, 519, 3450, 2796, 892, 12462, 25618, 1329, 24166, 2238, 593, 4264, 2244, 946, 543, 2067, 4199, 2359, 269, 1557, 593, 2121, 633, 1004, 634, 1898, 7592, 540, 513, 2565, 1589, 518, 2154, 606, 3773, 585, 1346, 945, 917, 2370, 827, 2565, 3206, 269, 538, 707, 3206, 269, 5822, 15613, 281, 676, 19819, 592, 1014, 328, 5718, 1957, 1382, 25229, 20462, 476, 279, 9947, 476, 1001, 274, 476, 1839, 11879, 15154, 11150, 1280, 634, 7073, 3231, 1676, 269, 14520, 17778, 547, 15043, 2659, 13574, 476, 2641, 560, 11416, 12409, 5303, 5788, 31945, 30559, 1023, 2987, 268, 25531, 1166, 857, 330, 1359, 321, 2784, 24713, 757, 14025, 14482, 9592, 1532, 21392, 31032, 14482, 18291, 454, 29753, 16497, 593, 519, 5178, 529, 540, 7689, 12697, 270, 25618, 625, 454, 296, 1616, 547, 6338, 513, 1259, 540, 3206, 827, 543, 3450, 3332, 602, 12034, 5931, 607, 2623, 269, 29570, 891, 7526, 568, 3730, 585, 2565, 3206, 827, 2528, 267, 855, 849, 1280, 12383, 267, 594, 3513, 946, 1134, 8153, 5931, 267, 689, 9956, 547, 1230, 2784, 781, 543, 2565, 6237, 626, 12716, 2994, 267, 546, 8016, 9331, 7728, 288, 476, 1724, 6799, 606, 2565, 3206, 1983, 267, 2994, 543, 547, 2232, 865, 2422, 540, 519, 3060, 547, 10505, 267, 4431, 547, 2875, 10371, 512, 1116, 568, 1031, 547, 4766, 3872, 18747, 602, 269, 2060, 713, 3015, 543, 7874, 3391, 267, 596, 3513, 1205, 10750, 30165, 6044, 593, 875, 547, 11879, 15154, 10341, 585, 667, 27186, 281, 30216, 2645, 543, 2994, 689, 513, 593, 3280, 7744, 543, 21849, 2079, 31698, 10502, 875, 547, 946, 1523, 3288, 334, 512, 30349, 1557, 8196, 519, 1739, 12485, 1282, 1362, 547, 2327, 602, 1053, 616, 8362, 7722, 538, 3206, 827, 519, 1543, 269, 4841, 1058, 581, 1572, 593, 14477, 630, 6748, 1323, 14292, 4640, 568, 513, 1505, 596, 547, 16785, 2565, 3206, 950, 596, 1589, 827, 14292, 2994, 267, 607, 606, 14292, 4640, 949, 849, 454, 20663, 2667, 13554, 19019, 8808, 1184, 4640, 538, 2474, 540, 2565, 3206, 4093, 543, 729, 4724, 741, 14292, 1505, 23889, 7756, 7007, 19019, 1299, 4197, 676, 5071, 281, 4045, 532, 2422, 519, 18807, 1374, 1935, 547, 1020, 6437, 4559, 543, 4245, 538, 26945, 5468, 267, 543, 8716, 3860, 543, 2565, 3206, 538, 519, 4928, 269, 2348, 20291, 1533, 4204, 3646, 547, 1020, 14292, 2994, 267, 17083, 27742, 1714, 9626, 524, 8014, 588, 656, 517, 1557, 769, 2565, 3206, 267, 1323, 1437, 908, 4640, 1031, 1991, 547, 4098, 513, 1007, 1888, 269, 1323, 14292, 1935, 630, 21865, 1031, 538, 2542, 264, 26159, 4744, 31277, 16643, 2511, 20985, 4804, 281, 30487, 543, 25947, 11879, 15154, 538, 6732, 17564, 1280, 4548, 267, 32544, 267, 8834, 282, 21862, 21672, 267, 6424, 281, 27870, 606, 661, 6441, 792, 940, 15613, 538, 14451, 32544, 267, 8834, 281, 12409, 6796, 7177, 630, 2464, 292, 1070, 552, 532, 601, 611, 10273, 32544, 267, 8834, 281, 18329, 25642, 910, 5769, 2422, 543, 661, 4211, 558, 12692, 538, 3017, 1063, 4081, 1557, 543, 3621, 1382, 19019, 531, 11150, 11879, 15154, 543, 9046, 14572, 269, 19793, 22777, 538, 519, 5386, 6575, 3340, 1082, 1114, 5686, 540, 3206, 269, 4841, 1451, 547, 7390, 547, 454, 1015, 269, 744, 19241, 269, 476, 1001, 274, 15465, 2994, 616, 1031, 547, 948, 606, 1367, 3035, 513, 1880, 3804, 1247, 634, 1053, 786, 581, 2111, 547, 3914, 519, 2565, 1377, 3206, 269, 936, 942, 543, 609, 1489, 543, 14292, 5583, 267, 666, 1711, 6209, 267, 519, 9740, 540, 7287, 1557, 676, 3638, 731, 11425, 3419, 22222, 3231, 1676, 31802, 543, 15613, 2422, 1851, 2160, 269, 4841, 538, 519, 2136, 9752, 11879, 15154, 10341, 547, 6259, 2160, 4841, 269, 17241, 2793, 681, 4696, 6395, 310, 296, 16075, 3594, 2688, 2328, 10927, 901, 2962, 1382, 1788, 8179, 547, 1020, 1053, 2565, 3206, 1983, 676, 7598, 513, 3099, 540, 14292, 2994, 269, 28080, 9643, 585, 713, 1353, 941, 11879, 3206, 568, 519, 6457, 1302, 5676, 1441, 1184, 540, 8362, 543, 5578, 2685, 12497, 1944, 267, 7311, 267, 7421, 267, 13754, 1944, 267, 543, 454, 296, 7473, 7433, 318, 13202, 710, 853, 773, 3455, 910, 17546, 5058, 6441, 792, 333, 5058, 9950, 308, 454, 4041, 27073, 5058, 9215, 19845, 27073, 15043, 2565, 3206, 1983, 454, 17273, 32386, 269, 6168, 11879, 15154, 282, 15613, 5903, 281, 476, 3374, 17435, 5014, 540, 11879, 23539, 590, 7095, 9752, 3627, 26573, 7085, 281, 2201, 19019, 267, 25827, 4886, 2676, 736, 4924, 476, 1001, 277, 18536, 13648, 689, 25303, 729, 3168, 585, 798, 11879, 15154, 593, 1022, 14292, 4640, 610, 1505, 602, 596, 1223, 946, 538, 707, 3450, 476, 279, 269, 744, 19241, 269, 476, 1001, 276, 21602, 476, 275, 268, 276, 5082, 1161, 268, 25618, 545, 5004, 15484, 7901, 1547, 10371, 2342, 267, 543, 1020, 513, 4390, 585, 2565, 3206, 267, 543, 7119, 538, 519, 2409, 540, 634, 10697, 14499, 2553, 267, 4922, 1031, 538, 14078, 267, 8492, 267, 543, 6006, 543, 6125, 769, 3450, 8804, 3262, 6656, 3301, 2488, 606, 5140, 1907, 585, 269, 512, 542, 540, 3069, 630, 4696, 301, 1070, 946, 540, 3069, 630, 7034, 301, 1070, 2565, 6514, 540, 3069, 630, 5960, 301, 1070, 10371, 13852, 267, 661, 6993, 1421, 476, 1960, 272, 281, 13891, 622, 281, 589, 15613, 585, 9752, 11879, 15154, 269, 10145, 1957, 547, 2328, 593, 2228, 1215, 14171, 21126, 28620, 593, 11879, 15154, 543, 21261, 566, 269, 1215, 3068, 6937, 543, 17846, 2994, 1860, 1268, 8226, 538, 2228, 23468, 269, 8950, 5336, 23672, 9442, 538, 10017, 9752, 281, 3310, 540, 22858, 673, 1303, 1778, 618, 538, 18838, 5494, 6847, 1107, 1772, 16869, 781, 6478, 2422, 11154, 539, 547, 519, 9752, 11150, 547, 32754, 11879, 11879, 3206, 814, 1044, 634, 5871, 11759, 3557, 11621, 4481, 11168, 513, 3206, 6437, 543, 454, 22826, 2565, 3206, 1547, 11879, 3206, 267, 9752, 1053, 547, 581, 2565, 17024, 1095, 6979, 606, 1604, 1141, 6267, 267, 2679, 11334, 267, 596, 3112, 4413, 713, 2653, 547, 2936, 3450, 4640, 256, 2725, 15590, 1547, 3962, 3210, 6656, 2882, 513, 9752, 11872, 2985, 609, 4388, 585, 946, 538, 519, 4928, 269, 2725, 15590, 11146, 891, 2093, 585, 2656, 2565, 3206, 543, 16542, 2238, 256, 476, 1015, 12243, 5174, 5648, 10632, 2334, 32754, 11879, 15154, 1547, 589, 4116, 594, 1031, 547, 960, 609, 2322, 2699, 6486, 593, 1402, 338, 1834, 16853, 693, 519, 2875, 960, 7740, 1299, 19430, 1544, 632, 12031, 1147, 682, 6535, 656, 1143, 324, 9752, 31072, 519, 13340, 281, 1215, 547, 3400, 321, 2659, 4841, 676, 4256, 11020, 267, 12059, 9990, 26779, 4052, 6044, 267, 543, 1711, 6422, 4245, 602, 20741, 2565, 3206, 543, 7580, 1966, 2507, 1889, 15590, 1547, 2422, 8535, 547, 29130, 17826, 476, 4198, 454, 25618, 625, 585, 3450, 2565, 3206, 269, 8000, 1206, 267, 12844, 22448, 454, 3066, 7325, 476, 1001, 274, 589, 2875, 781, 2565, 3206, 1983, 666, 581, 22541, 950, 606, 14357, 28525, 519, 946, 610, 267, 693, 513, 5934, 267, 519, 936, 2224, 540, 1463, 10530, 282, 9752, 519, 693, 281, 910, 974, 2286, 268, 1598, 1538, 625, 270, 1492, 268, 943, 323, 3860, 1603, 669, 8522, 966, 773, 548, 3331, 376, 1499, 28856, 974, 2142, 7371, 1408, 338, 24477, 2763, 5378, 834, 322, 15560, 3206, 1983, 257, 1107, 1546, 28852, 27761, 5894, 577, 654, 23152, 614, 321, 1276, 3768, 594, 2015, 621, 606, 2523, 1271, 3872, 873, 547, 678, 14260, 1544, 2104, 2994, 607, 1134, 607, 31380, 269, 476, 3040, 14146, 3334, 540, 2565, 3206, 547, 5620, 596, 1044, 3238, 538, 513, 3992, 610, 2866, 2680, 538, 799, 2565, 3206, 729, 1031, 607, 606, 14292, 4640, 286, 1557, 593, 27194, 538, 28991, 27119, 838, 5341, 339, 6095, 13153, 32489, 655, 29770, 29409, 817, 540, 9752, 11621, 2108, 630, 306, 269, 476, 4037, 275, 1040, 12603, 11621, 24166, 1323, 268, 634, 4116, 17358, 543, 3096, 513, 3099, 540, 14292, 2994, 547, 5000, 1053, 262, 1646, 540, 2565, 3206, 267, 1966, 6061, 267, 543, 454, 1704, 269, 631, 7564, 337, 345, 476, 1001, 274, 540, 519, 10848, 540, 3450, 543, 1565, 892, 10371, 634, 4116, 3096, 3450, 634, 4116, 17358, 543, 3096, 513, 3099, 540, 14292, 2994, 547, 5000, 2875, 1646, 540, 2565, 3206, 1966, 6061, 269, 14328, 2890, 29328, 19215, 5098, 5721, 661, 9915, 3450, 1983, 676, 8888, 513, 2115, 2079, 18102, 267, 543, 589, 2647, 2039, 540, 30070, 4247, 786, 581, 1031, 547, 1445, 593, 281, 910, 2500, 1893, 1565, 2994, 602, 948, 596, 547, 1831, 14628, 3755, 540, 2296, 269, 547, 519, 1646, 540, 2565, 3206, 543, 2079, 543, 14628, 1565, 269, 634, 840, 28129, 4116, 1031, 513, 3099, 540, 14292, 2994, 547, 5000, 2994, 547, 5000, 2875, 1646, 540, 2565, 3206, 267, 1557, 540, 2069, 568, 1271, 1323, 14292, 4640, 585, 2565, 3206, 1131, 4125, 519, 2609, 5941, 538, 519, 3349, 538, 519, 2063, 2022, 269, 1411, 786, 2693, 1265, 602, 1082, 14292, 454, 7809, 2264, 1070, 543, 3919, 630, 2145, 550, 543, 2497, 264, 2838, 547, 1118, 2500, 946, 540, 1239, 269, 10371, 28644, 23302, 8668, 3906, 1058, 1376, 547, 2708, 741, 1699, 4640, 267, 543, 9687, 18544, 3292, 689, 3056, 3872, 5238, 269, 1452, 1053, 1419, 4865, 2178, 2565, 3206, 267, 3621, 12191, 267, 19779, 1557, 4808, 476, 2764, 9484, 476, 1001, 276, 1879, 594, 1589, 827, 519, 1158, 649, 2661, 538, 267, 594, 1745, 1476, 15903, 676, 519, 547, 946, 4066, 855, 2864, 938, 15382, 7924, 1377, 630, 514, 519, 2631, 540, 519, 593, 938, 3206, 543, 1158, 2070, 264, 602, 723, 1831, 2565, 538, 3872, 1717, 267, 950, 594, 2911, 547, 1250, 1053, 827, 741, 1344, 10478, 2994, 543, 6208, 267, 1215, 798, 649, 3895, 2565, 543, 13354, 3206, 693, 519, 1482, 942, 607, 14237, 968, 21745, 1388, 9752, 1053, 547, 946, 891, 3059, 5867, 3340, 519, 6857, 968, 763, 4161, 568, 547, 2736, 519, 21055, 1143, 540, 2099, 1049, 2994, 543, 1557, 593, 812, 3125, 538, 16664, 1403, 891, 2326, 616, 1031, 538, 1022, 1106, 2407, 11760, 618, 1058, 581, 1500, 540, 1547, 1463, 29029, 6902, 20527, 18350, 648, 337, 11552, 14404, 2946, 27932, 1696, 11552, 5075, 6902, 269, 3655, 790, 598, 3534, 383, 362, 30036, 524, 8291, 5075, 632, 10371, 3450, 269, 4201, 16860, 267, 13597, 543, 8116, 269, 11879, 543, 3860, 3206, 563, 1839, 11879, 15154, 11150, 1280, 634, 19019, 531, 11150, 269, 17546, 1320, 4454, 568, 606, 3919, 6131, 547, 5647, 538, 2069, 998, 519, 5918, 651, 3498, 7110, 1557, 19019, 531, 11150, 2334, 11120, 4106, 622, 4804, 21661, 12474, 19791, 14292, 4640, 585, 1200, 10774, 529, 16881, 1620, 543, 2565, 3206, 4318, 977, 540, 14292, 4640, 593, 2565, 3206, 543, 1543 ]

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

[ 543, 14076, 321, 327, 26474, 454, 298, 7568, 31540, 1107, 570, 2728, 330, 1377, 1599, 776, 454, 298, 27092, 1107, 28521, 28018, 528, 610, 22810, 8556, 13577, 20229, 454, 32743, 27256, 21423, 1107, 1855, 26387, 559, 270, 3725, 15467, 14727, 22511, 8433, 454, 300, 1695, 541, 30773, 1107, 4427, 5937, 643, 29850, 20229, 270, 3493, 14280, 11814, 528, 454, 10048, 760, 584, 1107, 8433, 540, 3493, 14280, 30934, 454, 9288, 724, 531, 11535, 1107, 4427, 5937, 643, 29850, 20229, 270, 3493, 14280, 11814, 528, 454, 300, 714, 528, 600, 1107, 1855, 26387, 559, 270, 3725, 15467, 14727, 22511, 8433, 454, 301, 698, 531, 663, 1107, 8433, 540, 519, 30934, 18491, 531, 663, 1315, 10588, 10029, 1315, 10588, 7395, 626, 3433, 454, 302, 323, 22781, 1107, 10588, 7395, 626, 3433, 270, 4696, 300, 13478, 23077, 20081, 1695, 338, 843, 541, 454, 303, 684, 20602, 1107, 19634, 2740, 4427, 5937, 643, 29850, 8433, 454, 305, 1690, 553, 22474, 1107, 1763, 8826, 1855, 26387, 559, 20324, 6674, 270, 3725, 15467, 8433, 454, 306, 1731, 330, 574, 1107, 10588, 8556, 13577, 4741, 454, 307, 7056, 24385, 340, 1107, 570, 2728, 330, 18025, 21123, 599, 520, 5742, 8433, 454, 307, 601, 836, 3570, 1107, 1855, 26387, 559, 270, 3725, 15467, 8433, 454, 307, 8692, 3120, 1107, 8433, 540, 519, 4427, 5937, 643, 29850, 7395, 626, 3433, 454, 308, 1777, 541, 21423, 1107, 10588, 7395, 626, 3433, 8433, 540, 7255, 8664, 454, 308, 1777, 541, 752, 8518, 1107, 1763, 8826, 1855, 26387, 559, 1315, 3725, 15467, 14727, 22511, 8433, 454, 26156, 19377, 1107, 10588, 28054, 8433, 13478, 23077, 270, 9720, 302, 454, 4517, 16120, 543, 12832, 984, 541, 6816, 1107, 19634, 2740, 1855, 26387, 843, 541, 20229, 454, 2419, 663, 580, 541, 327, 1107, 12676, 300, 8433, 454, 291, 611, 571, 543, 18491, 541, 12794, 767, 328, 1107, 631, 600, 26245, 323, 541, 5604, 270, 8624, 937, 528, 5604, 454, 291, 16120, 543, 4144, 340, 1107, 631, 600, 26245, 323, 541, 5604, 270, 8624, 937, 528, 5604, 454, 22013, 6062, 1107, 12676, 300, 270, 5938, 26387, 843, 541, 270, 5425, 290, 630, 290, 527, 714, 523, 6796, 4741, 994, 297, 2459, 340, 543, 22758, 1107, 19634, 2740, 1855, 26387, 843, 541, 5510, 1182, 454, 299, 611, 12112, 1107, 19634, 2740, 1855, 26387, 843, 541, 5510, 1182, 454, 299, 27232, 611, 933, 788, 1107, 1855, 26387, 559, 1315, 3725, 15467, 14727, 22511, 8433, 454, 303, 644, 1075, 615, 787, 1107, 1855, 26387, 559, 1315, 3725, 15467, 14727, 22511, 8433, 454, 11742, 1974, 568, 3144, 676, 519, 8128, 547, 3390, 22634, 22783, 454, 288, 18588, 21423, 1107, 476, 1428, 2395, 543, 476, 1789, 2395, 585, 5254, 7121, 454, 6635, 684, 778, 531, 21423, 1107, 476, 1691, 2395, 454, 10112, 600, 1107, 476, 1789, 2395, 454, 289, 8811, 541, 1107, 476, 1015, 2324, 2395, 454, 30942, 26385, 3258, 327, 1107, 3502, 9138, 454, 7883, 320, 1107, 476, 1015, 2395, 454, 10817, 21186, 520, 1107, 3502, 9138, 454, 295, 776, 3570, 1107, 476, 278, 2324, 2395, 454, 295, 574, 778, 531, 21423, 1107, 3502, 9138, 454, 297, 327, 1046, 8518, 1107, 3502, 9138, 454, 298, 7568, 31540, 1107, 476, 2641, 2395, 454, 298, 27092, 1107, 476, 276, 2395, 454, 32743, 27256, 21423, 1107, 476, 1789, 2395, 454, 300, 1695, 541, 30773, 1107, 476, 3393, 2395, 454, 10048, 760, 584, 1107, 3502, 9138, 454, 9288, 724, 531, 11535, 1107, 3502, 9138, 454, 300, 714, 528, 600, 1107, 476, 273, 547, 476, 274, 2395, 454, 301, 698, 531, 663, 1107, 3502, 9138, 454, 302, 323, 22781, 1107, 3502, 9138, 454, 303, 684, 20602, 1107, 5455, 547, 476, 277, 2395, 454, 305, 1690, 553, 22474, 1107, 3502, 9138, 454, 306, 1731, 330, 574, 1107, 3502, 9138, 454, 307, 7056, 24385, 340, 1107, 3502, 9138, 454, 307, 601, 836, 3570, 1107, 476, 1428, 2395, 543, 476, 1789, 2395, 585, 5254, 7121, 454, 307, 8692, 3120, 1107, 476, 1428, 547, 476, 2412, 2395, 454, 308, 1777, 541, 21423, 1107, 476, 1428, 547, 476, 1839, 2395, 454, 308, 1777, 541, 752, 8518, 1107, 3502, 9138, 454, 26156, 19377, 1107, 3502, 9138, 454, 4517, 16120, 543, 12832, 984, 541, 6816, 1107, 27819, 476, 1691, 2395, 454, 2419, 663, 580, 541, 327, 1107, 476, 280, 547, 476, 1789, 2324, 2395, 454, 291, 611, 571, 543, 18491, 541, 12794, 767, 328, 1107, 476, 278, 547, 476, 1015, 2395, 454, 291, 16120, 543, 4144, 340, 1107, 476, 278, 547, 476, 1015, 2395, 454, 22013, 6062, 1107, 476, 1691, 2395, 454, 297, 2459, 340, 543, 22758, 1107, 3502, 9138, 454, 299, 611, 12112, 1107, 3502, 9138, 454, 299, 27232, 611, 933, 788, 1107, 3502, 9138, 454, 303, 644, 1075, 615, 787, 1107, 3502, 9138, 454, 763, 16516, 22634, 543, 16516, 11031, 941, 3773, 547, 519, 4095, 11156, 1931, 543, 519, 11156, 1931, 585, 16516, 11031, 538, 476, 4198, 271, 998, 15080, 476, 30130, 543, 476, 31079, 540, 519, 4095, 9139, 269, 0, 1103, 519, 7706, 540, 2413, 4915, 267, 5642, 20768, 1098, 17852, 723, 7153, 607, 513, 2565, 14634, 538, 519, 2126, 540, 1585, 11871, 269, 1452, 1272, 22766, 5773, 1404, 606, 7533, 1909, 693, 3056, 2860, 2126, 7740, 267, 5356, 4126, 543, 17105, 8458, 540, 6051, 547, 2550, 6849, 18447, 21904, 269, 2913, 779, 5490, 883, 519, 7096, 4644, 540, 5642, 20768, 1098, 17852, 538, 519, 2796, 540, 2860, 2126, 7740, 563, 8139, 24942, 3057, 992, 3690, 17852, 912, 289, 821, 20768, 267, 519, 29008, 344, 5160, 1336, 1369, 7633, 267, 568, 3743, 585, 6721, 2629, 1973, 3334, 899, 2699, 1973, 2281, 267, 3043, 1973, 2281, 267, 543, 6676, 7410, 269, 589, 5642, 20768, 13003, 267, 849, 1634, 607, 513, 22104, 641, 16211, 2045, 6565, 1591, 13003, 267, 3322, 13868, 8697, 610, 30428, 5642, 20768, 609, 2635, 6565, 2281, 267, 799, 616, 2901, 3144, 689, 519, 3461, 779, 1378, 1560, 630, 2246, 27881, 13003, 264, 610, 513, 15095, 20033, 630, 718, 10942, 545, 13003, 1040, 901, 5650, 568, 2523, 11358, 538, 8156, 11871, 602, 1860, 519, 1973, 543, 4761, 1062, 267, 971, 607, 26679, 267, 28623, 267, 543, 2789, 24869, 5448, 563, 763, 12472, 540, 9435, 9615, 15544, 912, 4692, 1356, 2126, 7740, 723, 7960, 883, 7463, 6703, 1141, 15834, 6887, 540, 32346, 5505, 267, 22104, 5505, 267, 10237, 5505, 267, 543, 824, 2564, 4966, 12840, 547, 1683, 3102, 1416, 547, 2860, 2550, 269, 1452, 7740, 9192, 5969, 12967, 4066, 609, 10531, 2126, 4566, 267, 2766, 1681, 4485, 547, 1142, 3461, 779, 2189, 2564, 1686, 543, 2115, 563, 763, 10020, 540, 24942, 3057, 992, 3690, 17852, 912, 289, 821, 20768, 1098, 17852, 723, 19117, 2860, 2126, 676, 5356, 513, 4960, 585, 2550, 547, 25580, 741, 19847, 4761, 1949, 269, 2311, 3056, 2860, 2126, 7740, 267, 891, 1098, 17852, 616, 1419, 2808, 950, 3044, 5574, 899, 18068, 543, 5982, 3797, 723, 711, 26857, 5551, 2164, 269, 634, 1098, 17852, 711, 1152, 5372, 29406, 2281, 609, 2635, 3283, 855, 849, 5512, 519, 1560, 547, 1732, 20496, 14021, 5574, 563, 5472, 10942, 545, 5288, 269, 4201, 27881, 3690, 17852, 912, 5472, 10942, 545, 5642, 20768, 1098, 17852, 4125, 1210, 6565, 2281, 689, 513, 15095, 20033, 267, 1419, 513, 1920, 4759, 610, 20775, 20033, 269, 901, 1826, 540, 13003, 3091, 519, 5413, 540, 1761, 21910, 268, 951, 639, 2389, 32214, 1198, 267, 1141, 519, 1098, 680, 5896, 4761, 2281, 5431, 543, 4323, 6967, 2860, 2281, 269, 1717, 267, 4466, 513, 5078, 20033, 666, 581, 4101, 563, 8505, 27881, 1098, 17852, 267, 593, 519, 824, 1688, 267, 946, 519, 3461, 779, 1378, 2635, 6565, 2281, 269, 1452, 2281, 616, 6394, 543, 6740, 1354, 1164, 1673, 846, 18068, 267, 543, 1287, 8120, 547, 519, 3461, 779, 1560, 1310, 2126, 269, 2755, 15877, 519, 21910, 268, 951, 639, 2389, 32214, 1198, 267, 1313, 27881, 1098, 17852, 2057, 519, 1981, 540, 21910, 268, 951, 639, 3620, 739, 2068, 267, 513, 1761, 28658, 540, 782, 10942, 545, 1098, 17852, 563, 22117, 532, 2860, 2126, 7740, 9772, 513, 23499, 1935, 547, 5642, 20768, 1098, 17852, 269, 589, 2319, 540, 12665, 27786, 2550, 685, 25046, 585, 519, 5650, 1759, 593, 2188, 899, 2949, 1072, 267, 2085, 267, 543, 519, 1826, 540, 2860, 269, 1403, 16363, 5078, 267, 519, 2319, 10974, 519, 3003, 13003, 1184, 267, 689, 6565, 1591, 4015, 547, 2022, 20675, 8690, 1416, 563, 28775, 543, 23046, 912, 2690, 2550, 32626, 10728, 3029, 540, 2860, 267, 5642, 20768, 1098, 17852, 2709, 811, 982, 1175, 513, 2126, 4781, 1107, 789, 2709, 4126, 269, 1452, 5773, 723, 3648, 4824, 6668, 3928, 543, 2298, 540, 1272, 585, 1082, 2043, 269, 5047, 267, 2860, 2126, 7740, 1683, 3929, 543, 5626, 1489, 547, 2550, 543, 741, 3885, 2429, 519, 13003, 3460, 267, 9301, 519, 11455, 2470, 540, 7067, 563, 1103, 3932, 267, 5642, 20768, 1098, 17852, 723, 7153, 607, 513, 22294, 540, 2860, 2126, 693, 3056, 2860, 2126, 7740, 269, 1452, 1272, 19145, 5773, 723, 2699, 18249, 519, 5251, 540, 2860, 1416, 267, 3246, 2550, 609, 17105, 27277, 543, 513, 4960, 693, 1121, 2153, 269, 1635, 9256, 5969, 12967, 2564, 7760, 609, 17519, 1416, 267, 891, 7740, 616, 5935, 519, 2104, 540, 2860, 2126, 543, 13321, 519, 2729, 540, 9118, 2043, 269, 0, 2080, 779, 875, 15191, 9817, 960, 538, 1906, 5220, 2336, 17098, 972, 3988, 256, 594, 917, 594, 16219, 585, 513, 1007, 2022, 2063, 15964, 855, 8909, 569, 594, 4076, 1044, 1360, 11112, 543, 594, 6557, 5963, 20994, 256, 594, 4126, 596, 2972, 713, 835, 256, 3767, 1577, 779, 1265, 856, 875, 15191, 9817, 960, 2336, 2690, 513, 15191, 2469, 14887, 982, 519, 3432, 540, 3280, 267, 519, 2599, 568, 3001, 998, 519, 2011, 693, 827, 476, 1911, 271, 5998, 10774, 630, 7785, 18890, 1040, 1284, 666, 1589, 540, 519, 2599, 607, 1373, 19335, 543, 519, 4411, 2011, 3001, 4724, 621, 693, 713, 3432, 563, 288, 10178, 693, 519, 4395, 647, 4242, 519, 4411, 2011, 883, 519, 2599, 543, 4229, 621, 998, 519, 29504, 269, 901, 25815, 519, 2011, 1524, 676, 827, 476, 2568, 2600, 543, 922, 3432, 568, 1631, 827, 476, 6110, 5998, 10774, 630, 13301, 18890, 1916, 288, 2034, 10178, 1572, 513, 26468, 17065, 8240, 519, 2011, 630, 27463, 1162, 922, 2604, 264, 676, 827, 5216, 2053, 267, 543, 713, 13497, 4679, 922, 2837, 563, 298, 14058, 2940, 630, 331, 18612, 4492, 264, 568, 17661, 1540, 883, 519, 2599, 689, 513, 4492, 7382, 538, 519, 7077, 781, 13617, 563, 1103, 519, 13674, 12068, 267, 1175, 3297, 519, 26468, 267, 519, 737, 14058, 2940, 30012, 609, 519, 19316, 2011, 543, 17236, 18979, 569, 267, 4758, 1055, 3905, 9688, 9362, 543, 6721, 513, 5458, 2333, 538, 2837, 269, 634, 8781, 7848, 10301, 513, 2837, 540, 1472, 476, 12010, 9180, 630, 13679, 271, 13790, 1916, 763, 9688, 9362, 19060, 2250, 513, 1305, 540, 17081, 19059, 267, 18343, 873, 899, 513, 2842, 17524, 269, 4595, 519, 17081, 12374, 1648, 267, 519, 9362, 1590, 6336, 519, 1482, 2179, 540, 1648, 11652, 789, 798, 865, 676, 9023, 1524, 5594, 543, 9561, 2604, 563, 763, 17081, 19059, 616, 4448, 547, 513, 1279, 4949, 548, 630, 21323, 676, 519, 1647, 12457, 1899, 264, 602, 8255, 519, 3259, 540, 519, 2599, 269, 634, 26468, 543, 519, 10178, 616, 849, 4448, 547, 713, 4949, 548, 269, 1924, 267, 607, 519, 17081, 19059, 8095, 267, 789, 849, 2490, 519, 26468, 543, 519, 10178, 563, 763, 3905, 9688, 9362, 14827, 519, 2599, 998, 513, 512, 1653, 532, 9688, 30979, 269, 3807, 607, 1216, 17065, 7458, 998, 513, 7522, 10612, 5787, 919, 13497, 883, 513, 3728, 15191, 630, 20459, 540, 1018, 4523, 538, 513, 1216, 16537, 565, 1070, 519, 512, 1653, 532, 1374, 540, 519, 9688, 30979, 2337, 547, 17108, 519, 9362, 547, 513, 3432, 540, 936, 476, 13975, 271, 5998, 10774, 630, 9873, 271, 18890, 1040, 1924, 519, 3905, 2011, 6028, 519, 2599, 693, 519, 1394, 568, 10707, 936, 7466, 519, 3432, 540, 519, 4411, 2011, 10024, 621, 693, 519, 4395, 11652, 602, 781, 1018, 7060, 519, 7077, 269, 13639, 32062, 1419, 723, 606, 1310, 6633, 518, 602, 2695, 16630, 4492, 883, 519, 9688, 15191, 547, 3132, 3063, 19876, 269, 634, 18807, 2173, 8221, 9688, 9362, 1379, 519, 15191, 4464, 269, 5221, 519, 7077, 568, 1454, 8273, 543, 18219, 982, 519, 9688, 9362, 621, 7472, 267, 519, 9688, 9362, 723, 547, 24680, 18807, 1454, 5488, 982, 519, 7077, 781, 1378, 3432, 563, 1103, 5618, 267, 596, 666, 1294, 602, 1142, 1292, 851, 540, 519, 2599, 1281, 513, 1114, 3364, 547, 519 ]

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

[ 547, 2588, 322, 267, 1287, 12337, 519, 942, 1714, 17863, 2094, 476, 876, 281, 876, 281, 876, 630, 1993, 1482, 1554, 13211, 825, 1948, 538, 1297, 540, 7643, 454, 825, 1948, 2132, 602, 942, 1714, 17863, 692, 825, 554, 327, 267, 6515, 267, 521, 338, 815, 942, 19544, 712, 267, 942, 269, 2381, 1393, 267, 942, 269, 16149, 454, 825, 15558, 815, 942, 269, 4752, 3553, 692, 825, 1714, 17863, 18425, 26000, 6948, 815, 554, 327, 2608, 7643, 18425, 19963, 20189, 712, 1341, 6515, 2608, 7643, 18425, 19963, 28804, 1393, 1341, 521, 338, 454, 825, 15558, 5334, 793, 815, 15558, 314, 271, 2639, 825, 15558, 318, 600, 339, 18425, 26000, 6948, 815, 1608, 318, 4752, 3553, 318, 26920, 263, 4752, 3553, 314, 272, 281, 7481, 825, 952, 15558, 5334, 793, 2652, 1412, 266, 12466, 1038, 2132, 1714, 17863, 18425, 26000, 6948, 910, 15558, 318, 600, 339, 18425, 26000, 6948, 454, 825, 3116, 912, 1038, 2132, 1714, 17863, 18425, 26000, 6948, 1341, 15558, 318, 600, 339, 18425, 26000, 6948, 7531, 258, 7736, 540, 1250, 1378, 6388, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2119, 912, 1038, 535, 696, 337, 815, 1930, 263, 657, 269, 523, 1333, 9131, 5495, 9143, 7473, 318, 303, 26059, 28710, 1412, 342, 5073, 825, 4849, 18983, 2153, 13286, 912, 1038, 535, 696, 337, 815, 1930, 3488, 907, 270, 907, 270, 907, 270, 339, 3949, 270, 5503, 5091, 12265, 318, 719, 17902, 3299, 1412, 342, 17210, 825, 512, 815, 703, 9272, 31156, 825, 585, 512, 318, 527, 337, 538, 2039, 6025, 2187, 1038, 512, 272, 815, 3403, 10797, 1038, 512, 273, 815, 3403, 10797, 1038, 18232, 815, 942, 5091, 12265, 6025, 272, 267, 512, 273, 2020, 1038, 535, 696, 337, 22182, 19304, 5560, 12265, 264, 1341, 1412, 315, 333, 17210, 1038, 1250, 5091, 12265, 815, 1250, 22710, 5091, 12265, 6025, 272, 267, 512, 273, 2020, 825, 535, 696, 337, 25379, 4590, 0, 26611, 16535, 270, 7090, 274, 692, 5814, 15259, 7531, 16482, 258, 13159, 519, 1412, 516, 18727, 17806, 262, 1599, 2630, 563, 16482, 258, 634, 1599, 568, 4397, 547, 2132, 513, 31031, 5058, 563, 258, 634, 1599, 24693, 31031, 5058, 590, 607, 9936, 563, 258, 692, 3698, 1642, 318, 10420, 318, 8578, 318, 19387, 263, 19387, 29223, 267, 521, 2187, 825, 952, 23684, 29223, 2652, 476, 271, 281, 476, 1948, 693, 1376, 540, 5569, 521, 454, 1038, 1780, 454, 825, 3116, 281, 476, 1948, 18419, 7173, 1347, 952, 723, 454, 1038, 952, 7003, 4433, 264, 3436, 476, 271, 912, 2018, 7173, 318, 10420, 815, 521, 314, 19387, 29223, 910, 476, 272, 2639, 2018, 521, 31927, 263, 2181, 341, 318, 10420, 994, 1038, 2132, 521, 7531, 3698, 4607, 17806, 4433, 2187, 825, 1948, 521, 3568, 5824, 5022, 267, 19156, 267, 9704, 267, 543, 2185, 2027, 3197, 454, 825, 1948, 519, 12961, 609, 519, 737, 321, 786, 1118, 519, 23684, 7914, 1472, 538, 519, 4611, 5569, 2676, 825, 1948, 865, 649, 991, 547, 1832, 3950, 540, 922, 2990, 547, 1039, 1347, 338, 538, 2953, 2990, 780, 825, 2027, 15220, 1513, 815, 18358, 283, 3299, 1412, 285, 3299, 24003, 3299, 1412, 258, 23300, 825, 759, 815, 11713, 825, 23684, 29223, 815, 476, 271, 454, 825, 562, 19571, 6674, 7272, 5962, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 4433, 15892, 1038, 1948, 6023, 2027, 1347, 338, 454, 1038, 952, 521, 5157, 316, 2652, 24003, 12466, 2018, 759, 815, 1642, 318, 10420, 318, 8578, 318, 19387, 263, 19387, 29223, 267, 759, 994, 1038, 952, 521, 5157, 316, 2652, 1412, 285, 9166, 476, 1948, 1847, 547, 1439, 540, 759, 5569, 547, 3341, 585, 4946, 1347, 338, 689, 972, 630, 331, 831, 994, 2018, 23684, 29223, 815, 7003, 263, 637, 994, 1038, 952, 521, 5157, 316, 2652, 1412, 283, 9166, 476, 1948, 1847, 547, 1376, 540, 759, 5569, 454, 2018, 23684, 29223, 815, 476, 271, 454, 1038, 952, 521, 5157, 316, 2652, 1412, 258, 9166, 1948, 2899, 1003, 6674, 568, 20399, 267, 621, 568, 12758, 888, 2018, 562, 19571, 6674, 7272, 5962, 6834, 476, 272, 692, 1038, 952, 630, 338, 5157, 316, 711, 538, 2027, 15220, 1513, 264, 543, 711, 521, 5157, 4940, 529, 323, 13424, 263, 2567, 476, 1948, 7696, 7363, 454, 2018, 759, 27044, 263, 19387, 29223, 267, 521, 5157, 7481, 2018, 23684, 29223, 6834, 476, 272, 692, 1038, 952, 521, 5157, 4940, 529, 323, 13424, 3890, 543, 562, 19571, 6674, 7272, 5962, 2652, 476, 271, 912, 2018, 759, 27044, 263, 19387, 29223, 267, 521, 5157, 7481, 2018, 23684, 29223, 6834, 476, 272, 454, 1038, 952, 521, 5157, 4940, 529, 323, 13424, 3890, 543, 562, 19571, 6674, 7272, 5962, 3436, 476, 271, 281, 476, 1948, 3112, 946, 1022, 1297, 267, 865, 1175, 18178, 621, 454, 2018, 1780, 692, 825, 2132, 1412, 8339, 21860, 263, 637, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 535, 696, 337, 815, 1930, 263, 657, 269, 523, 1333, 9131, 5495, 9143, 7473, 318, 303, 26059, 28710, 1412, 342, 5073, 825, 535, 696, 337, 815, 1930, 2891, 2908, 17624, 321, 318, 719, 17902, 2580, 1412, 342, 17210, 825, 590, 815, 3403, 10797, 825, 1267, 815, 4607, 17806, 22829, 2020, 825, 535, 696, 337, 22182, 31114, 1341, 1412, 315, 333, 17210, 825, 535, 696, 337, 25379, 4590 ]

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

[ 0, 296, 723, 1079, 14449, 602, 594, 1131, 899, 547, 5659, 1927, 269, 634, 1101, 10471, 814, 6177, 9566, 6753, 538, 16973, 630, 333, 652, 1040, 634, 2034, 10471, 814, 6177, 28680, 6753, 538, 16973, 630, 25988, 1040, 2311, 1142, 2473, 267, 312, 4087, 540, 1426, 594, 849, 723, 1344, 827, 519, 2179, 540, 1426, 630, 2169, 550, 540, 519, 4199, 1040, 3962, 540, 891, 616, 1448, 3337, 325, 3796, 538, 20211, 31043, 563, 296, 1131, 899, 547, 1711, 513, 1159, 2393, 1117, 2627, 630, 25988, 678, 2120, 264, 540, 1426, 865, 594, 666, 1349, 513, 1426, 4994, 1871, 585, 519, 4087, 540, 1142, 9566, 538, 1250, 10471, 269, 634, 1426, 4994, 1058, 4096, 593, 519, 2282, 1145, 540, 513, 6177, 12890, 518, 547, 602, 9566, 267, 543, 519, 6708, 540, 1426, 693, 602, 6177, 12890, 518, 563, 296, 1031, 5192, 529, 18103, 16902, 265, 547, 5352, 1990, 338, 13990, 585, 1142, 540, 1250, 1426, 6753, 630, 7076, 532, 1142, 4087, 1759, 593, 6708, 540, 4199, 1070, 543, 1287, 1031, 891, 2418, 538, 9517, 310, 2079, 269, 1717, 267, 519, 5192, 529, 18103, 16902, 265, 1990, 338, 13990, 616, 1312, 2318, 543, 2942, 1317, 789, 5635, 519, 1426, 1871, 693, 1142, 4087, 547, 519, 1611, 1426, 1871, 693, 782, 540, 519, 29650, 1369, 519, 8378, 269, 634, 1267, 568, 602, 930, 540, 1250, 29650, 2490, 856, 547, 581, 834, 3712, 1091, 26105, 257, 538, 519, 4611, 9517, 310, 678, 2120, 563, 1432, 594, 9364, 899, 568, 513, 1426, 678, 2120, 1141, 782, 540, 519, 1426, 6753, 616, 834, 14653, 257, 630, 1729, 8795, 5232, 8200, 593, 6708, 264, 543, 796, 1889, 25979, 6753, 616, 676, 4214, 834, 322, 27212, 257, 982, 891, 630, 20357, 594, 917, 972, 616, 711, 29650, 972, 1916, 9989, 4896, 917, 540, 513, 1259, 547, 798, 713, 630, 324, 3052, 269, 1526, 1778, 519, 2098, 338, 13990, 865, 789, 616, 782, 2318, 610, 6382, 14574, 602, 519, 6027, 2798, 616, 782, 834, 14653, 8442, 888, 7775, 798, 594, 991, 547, 946, 606, 14595, 2079, 15587, 888, 296, 723, 7318, 918, 14701, 593, 891, 1239, 607, 1134, 855, 1131, 4782, 9517, 310, 952, 2009, 1317, 2789, 4610, 540, 918, 14701, 616, 6074, 693, 519, 834, 3369, 574, 257, 540, 519, 11001, 269, 594, 1589, 594, 949, 723, 513, 2352, 942, 21108, 5079, 540, 19961, 267, 3092, 269, 609, 1250, 14449, 269, 0, 300, 28854, 267, 9381, 23047, 1127, 616, 968, 338, 2748, 532, 23766, 892, 602, 1223, 4339, 2916, 1689, 267, 3744, 2161, 269, 12824, 6594, 519, 3327, 19526, 2476, 538, 23780, 540, 26868, 16095, 689, 1472, 519, 1158, 269, 1358, 2161, 602, 519, 11091, 540, 9381, 19126, 568, 2565, 585, 19086, 2518, 8337, 563, 10666, 15117, 28711, 454, 1607, 2278, 814, 2943, 547, 2328, 741, 6915, 8160, 6756, 6112, 13071, 1175, 2161, 602, 649, 616, 10583, 15117, 28711, 8329, 513, 945, 14563, 476, 3199, 13366, 563, 22209, 1845, 676, 15117, 28711, 454, 299, 657, 1965, 14673, 518, 345, 657, 11188, 1487, 322, 597, 17485, 9362, 632, 552, 2739, 334, 12679, 333, 611, 3266, 1100, 911, 523, 1267, 15606, 282, 694, 791, 821, 3288, 513, 2364, 24265, 632, 521, 626, 655, 553, 6446, 7001, 333, 1714, 3327, 334, 1642, 513, 790, 267, 635, 334, 3288, 575, 534, 14575, 17144, 1036, 10273, 520, 10216, 563, 14197, 24759, 267, 5084, 300, 267, 595, 1173, 650, 267, 31780, 779, 267, 543, 634, 7186, 20271, 3599, 616, 1851, 476, 1015, 3549, 543, 18758, 3906, 602, 616, 8108, 513, 3084, 2344, 676, 476, 1708, 273, 547, 10996, 643, 1125, 519, 10073, 540, 8105, 2853, 602, 1628, 3037, 3327, 543, 2087, 1216, 5726, 563, 763, 3057, 514, 12539, 5741, 814, 1044, 14957, 585, 3327, 3524, 652, 1674, 538, 6694, 11934, 2094, 476, 1220, 279, 269, 1358, 3323, 609, 519, 2243, 281, 2052, 649, 2333, 519, 7001, 540, 3327, 538, 519, 6694, 3338, 1934, 538, 3057, 514, 6019, 286, 634, 2319, 4956, 547, 5659, 3037, 3327, 2157, 543, 2030, 7607, 2066, 476, 2420, 1114, 11396, 267, 930, 540, 799, 1185, 3327, 11656, 11003, 609, 23226, 3773, 547, 519, 3037, 563, 763, 6167, 5463, 1228, 593, 23270, 26198, 267, 9516, 676, 519, 4937, 13909, 593, 476, 272, 4728, 267, 786, 2196, 689, 476, 1708, 272, 547, 476, 10711, 271, 543, 11168, 18440, 5346, 540, 11808, 960, 547, 2232, 519, 4049, 12159, 540, 8916, 267, 1519, 19126, 543, 12748, 8134, 267, 5001, 269, 898, 786, 2693, 5818, 5251, 11808, 960, 547, 519, 1283, 540, 3084, 989, 31789, 267, 2679, 593, 513, 1857, 3747, 585, 2962, 593, 2152, 971, 607, 2916, 1689, 267, 9265, 2530, 267, 543, 519, 4611, 5222, 593, 11615, 543, 24454, 563, 763, 6284, 8711, 14222, 2853, 14027, 519, 5912, 2509, 29436, 1815, 1108, 689, 519, 2518, 3162, 269, 4934, 540, 476, 6507, 9930, 5209, 689, 476, 4510, 2477, 267, 476, 1428, 4309, 2369, 1431, 267, 1519, 2853, 689, 2066, 4000, 267, 5607, 543, 5824, 3013, 563, 3383, 559, 2298, 568, 513, 3395, 1445, 538, 519, 6940, 2230, 267, 543, 585, 1434, 2601, 281, 674, 1068, 850, 3037, 6923, 11689, 3278, 519, 2916, 543, 5849, 14388, 3761, 11800, 269, 1809, 513, 3791, 540, 519, 4541, 779, 2244, 568, 16094, 28811, 267, 543, 15417, 3037, 568, 1373, 4503, 693, 519, 2557, 540, 476, 2190, 5479, 9748, 513, 1032, 267, 2687, 547, 513, 476, 1001, 278, 2136, 8315, 1532, 17977, 1353, 269, 1924, 267, 513, 1507, 855, 3395, 1895, 540, 3549, 2443, 930, 2047, 538, 6683, 610, 10443, 4221, 267, 1866, 18549, 3842, 27126, 2443, 616, 10115, 538, 2635, 3037, 7341, 563, 8802, 17654, 6683, 3217, 14942, 3800, 547, 25579, 880, 519, 3618, 267, 2864, 982, 13708, 1076, 609, 519, 1761, 1279, 3856, 4539, 540, 3044, 8105, 2853, 563, 303, 4382, 1938, 543, 3114, 18168, 798, 711, 1711, 1072, 538, 519, 1426, 267, 519, 7082, 267, 519, 3037, 267, 519, 2011, 267, 610, 519, 1216, 269, 1284, 991, 585, 782, 540, 938, 1949, 547, 581, 2635, 1586, 563, 1692, 5186, 680, 663, 543, 2250, 999, 616, 7307, 568, 519, 1034, 2500, 1259, 547, 16185, 2916, 1689, 267, 606, 1935, 602, 3884, 1406, 3478, 519, 3007, 621, 19262, 267, 2687, 547, 513, 3056, 3037, 3235, 6048, 689, 5245, 945, 14753, 1472, 519, 1158, 593, 3037, 1072, 563, 5472, 26988, 23190, 616, 20952, 1043, 547, 519, 2407, 6708, 4847, 676, 519, 1876, 563, 15100, 476, 1001, 280, 3204, 523, 3130, 4139, 0, 15761, 847, 338, 689, 1114, 2694, 540, 713, 1216, 2030, 1519, 922, 3762, 267, 11710, 267, 5072, 543, 5452, 723, 1044, 4080, 547, 1397, 1896, 2640, 267, 971, 607, 15934, 267, 1863, 9097, 25094, 27701, 267, 4550, 13611, 267, 543, 6375, 334, 21524, 17419, 2238, 269, 25120, 7315, 553, 723, 849, 1044, 1031, 538, 3909, 12738, 538, 3127, 563, 19950, 5944, 267, 519, 2603, 639, 5452, 616, 849, 1572, 16541, 2428, 610, 575, 3073, 517, 2428, 269, 1717, 267, 1373, 1970, 538, 3170, 543, 1164, 538, 11950, 267, 891, 616, 6484, 958, 3982, 689, 10808, 543, 5452, 269, 20769, 639, 5452, 616, 513, 1434, 2707, 540, 3940, 267, 11950, 267, 20249, 267, 13101, 267, 11379, 267, 16903, 267, 4401, 543, 13058, 269, 20769, 639, 5452, 616, 849, 1970, 538, 9770, 563, 19853, 1970, 9770, 543, 1164, 13101, 1543, 2306, 873, 3730, 585, 1346, 7092, 689, 2295, 3676, 267, 1164, 1973, 2604, 267, 3987, 543, 8377, 269, 1452, 5452, 723, 1044, 1031, 14916, 538, 2757, 31970, 543, 4457, 4915, 585, 741, 1072, 2640, 543, 616, 12595, 585, 741, 9422, 543, 7067, 3601, 563, 4322, 5452, 2270, 606, 4550, 268, 1645, 11747, 267, 799, 568, 5156, 547, 948, 7816, 8697, 5946, 269, 20769, 639, 5452, 616, 849, 1634, 547, 2270, 25697, 11391, 2536, 565, 267, 513, 2067, 32064, 1355, 849, 1336, 538, 6995, 799, 11151, 6553, 543, 10172, 269, 898, 568, 5156, 602, 28777, 2603, 639, 5452, 1118, 513, 6995, 12990, 269, 769, 1840, 267, 2603, 639, 5452, 616, 1164, 593, 32443, 1729, 5991, 19153, 630, 323, 1047, 848, 8165, 5567, 264, 1519, 30175, 6950, 267, 7086, 545, 3679, 267, 18682, 517, 1231, 563, 7197, 3648, 267, 519, 29944, 4994, 540, 2603, 639, 6079, 568, 3648, 2539, 982, 1034, 1164, 19346, 3536, 899, 7573, 267, 3694, 543, 1866, 269, 898, 5526, 602, 2603, 639, 5452, 949, 723, 513, 6225, 1198, 593, 15847, 2043, 267, 543, 949, 581, 835, 540, 519, 811, 3617, 3536, 585, 873, 269, 4340, 547, 25072, 320, 267, 2603, 639, 5452, 723, 513, 11415, 550, 3601, 602, 723, 1808, 2640, 547, 519, 14401, 267, 4543, 547, 11177, 4105, 1648, 1369, 519, 1560, 563, 763, 5452, 666, 581, 13881, 6151, 267, 28777, 267, 610, 2666, 543, 23017, 883, 513, 21360, 610, 13594, 269, 634, 1034, 1455, 946, 540, 519, 6079, 568, 538, 519, 1106, 540, 2603, 639, 6079, 13594, 267, 799, 568, 1031, 14916, 538, 4457, 2250, 1845, 607, 1134, 607, 538, 5545, 28916, 269, 667, 3072, 2603, 639, 5452, 949, 581, 865, 8898, 538, 1216, 16074, 1991, 547, 946, 269, 1358, 666, 1287, 581, 3773, 2047, 547, 27130, 267, 25235, 610, 1031, 538, 824, 8286, 269, 623, 4428, 539, 5452, 616, 1031, 538, 1225, 1845, 267, 737, 515, 518, 267, 30077, 902, 543, 3819, 28777, 16152, 563, 3383, 2484, 267, 607, 972, 616, 1100, 2143, 5359, 593, 519, 6757, 2360, 540, 1279, 3856, 4616, 540, 2603, 639, 5452, 543, 741, 2472, 267, 2417, 6901, 616, 11562, 5896, 269, 4014, 2428, 15869, 11472, 1871, 540, 2603, 639, 5452, 568, 3964, 267, 2417, 5730, 3408, 540, 1871, 14194, 4765, 7135, 1522, 581, 6225, 538, 1072, 13319, 563, 299, 582, 639, 5452, 3180, 513, 9621, 2104, 607, 606, 14595, 15347, 6954, 3940, 7110, 543, 1761, 2428, 571, 268, 576, 11472, 543, 14453, 2707, 269, 2349, 2056, 922, 7912, 609, 824, 6484, 958, 3638, 22053, 899, 13005, 1023, 543, 29704, 610, 2113, 7410, 899, 536, 1690, 571, 543, 795, 578, 541, 786, 581, 540, 10373, 1871, 547, 1020, 1970, 21057, 267, 15347, 6954, 267, 3940, 11656, 1426, 9360, 547, 8396, 22926, 267, 3226, 4143, 547, 3127, 269, 9747, 267, 6338, 519, 2048, 332, 12112, 3570, 685, 15165, 1426, 538, 707, 2834, 2732, 585, 602, 2635, 6316, 563, 4942, 944, 544, 752, 25301, 799, 568, 849, 1134, 1634, 607, 16541, 10808, 610, 2603, 639, 5452, 814, 1044, 8810, 547, 581, 1164, 5567, 1426, 799, 568, 3638, 540, 2564, 3601, 1434, 585, 3232, 1072, 2732, 269, 634, 5567, 8659, 616, 519, 2706, 2707, 585, 6171, 267, 7777, 543, 6775, 1247, 519, 2564, 3601, 723, 1044, 8810, 547, 581, 6225, 585, 15847, 3461, 543, 1346, 945, 723, 13119, 1686, 269, 12989, 616, 476, 736, 1072, 2640, 540, 943, 944, 544, 12112, 3570, 596, 1058, 917, 912, 4942, 944, 25120, 7315, 7469, 944, 544, 12112, 3570, 568, 513, 1434, 15165, 585, 1346, 945, 723, 12008, 4524, 269, 5502, 540, 2921, 12008, 21447, 267, 2879, 1136, 943, 944, 544, 12112, 3570, 568, 513, 1454, 8902, 3070, 547, 4308, 609, 20026, 563, 23613, 540, 25289, 454, 21430, 2386, 602, 707, 1560, 814, 2614, 7513, 547, 1489, 707, 3232, 2534, 568, 513, 1590, 269, 1703, 616, 513, 2603, 540, 7513, 9360, 2472, 1223, 581, 1336, 538, 519, 2344, 2221, 269, 1717, 267, 798, 596, 917, 513, 8902, 1259, 547, 1205, 7513, 585, 707, 1560, 286, 1912, 944, 631, 12112, 3570, 568, 513, 1434, 15165, 607, 1134, 607, 513, 1434, 2707, 585, 7513, 563, 14187, 585, 10552, 16242, 454, 763, 1164, 11379, 543, 2539, 9770, 8659, 538, 943, 944, 544, 12112, 3570, 568, 1434, 585, 513, 1268, 609, 13119, 269, 898, 1797, 267, 10438, 943, 944, 544, 12112, 3570, 1223, 948, 538, 15725, 519, 1973, 2604, 267, 519, 2539, 9770, 1131, 711, 1860, 519, 1973, 2604, 1247, 11379, 786, 948, 538, 13302, 621, 563, 26670, 766, 20351, 13437, 454, 1103, 2367, 267, 10438, 943, 944, 544, 12112, 3570, 568, 2111, 547, 3986, 741, 3023, 1272, 1813, 547, 519, 2810, 540, 14203, 7274, 1247, 538, 2021, 10438, 943, 944, 544, 12112, 3570, 1223, 948, 873, 2810, 741, 12680, 1932, 563, 2690, 1346, 945, 723, 1966, 609, 12263, 267, 943, 944, 544, 12112, 3570, 799, 568, 865, 3638, 540, 7513, 568, 3810, 5227, 15165, 563, 13900, 4771, 1546, 2718, 609, 6226, 3878, 454, 4942, 944, 631, 12112, 3570, 568, 711, 1152, 2635, 547, 581, 10057, 3232, 855, 849, 5227, 585, 1346, 945, 723, 12536, 1966, 1317, 943, 944, 544, 12112, 3570, 568, 1360, 1164, 538, 6775, 799, 568, 8810, 547, 581, 1434, 585, 1560, 10307, 563, 763 ]

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

[ 0, 288, 2635, 20169, 814, 2919, 4064, 267, 513, 2919, 3308, 13374, 267, 607, 1134, 607, 519, 2634, 779, 5075, 8998, 267, 855, 741, 5075, 814, 711, 2943, 1044, 6534, 547, 5007, 15128, 267, 865, 29507, 723, 2943, 547, 1451, 875, 547, 946, 621, 269, 769, 741, 1101, 2395, 540, 1272, 267, 519, 20169, 5205, 3677, 3615, 609, 741, 4064, 267, 543, 538, 513, 1906, 4374, 267, 789, 29596, 4431, 609, 513, 12837, 950, 789, 1294, 741, 3993, 779, 3068, 269, 3245, 4332, 267, 11299, 7119, 538, 9591, 3750, 3346, 609, 741, 4816, 267, 7620, 713, 5631, 4386, 1282, 8023, 950, 519, 20169, 568, 5702, 8384, 519, 3993, 269, 13786, 525, 547, 3308, 15128, 949, 1020, 811, 7444, 543, 7930, 267, 4470, 593, 519, 1126, 267, 855, 693, 3670, 4374, 9002, 1058, 1020, 2298, 3750, 3346, 609, 519, 3993, 267, 29596, 14902, 950, 789, 1294, 1200, 1256, 1498, 1352, 568, 711, 2047, 2502, 873, 543, 789, 1058, 581, 2111, 547, 1463, 741, 22401, 693, 1804, 3688, 269, 769, 519, 9998, 1974, 267, 519, 4816, 15055, 547, 7747, 17804, 3109, 543, 3043, 3270, 267, 621, 568, 2663, 602, 789, 616, 13631, 547, 15437, 543, 8188, 563, 2026, 2038, 607, 9251, 2085, 267, 741, 3308, 8226, 7930, 4203, 2231, 519, 4162, 540, 2937, 5075, 269, 4475, 267, 32373, 539, 31659, 5470, 540, 519, 3750, 610, 824, 32373, 539, 3750, 3676, 538, 9251, 543, 2038, 1153, 2085, 666, 723, 26464, 4539, 593, 5075, 1646, 269, 901, 4016, 538, 1880, 547, 519, 5605, 569, 8328, 1981, 3815, 602, 10953, 909, 547, 519, 2085, 540, 476, 1428, 269, 4438, 713, 1974, 267, 621, 568, 5393, 1271, 547, 2697, 1761, 5605, 569, 8328, 1981, 2188, 543, 1521, 873, 5265, 267, 971, 607, 8716, 519, 946, 540, 513, 1126, 779, 27823, 3750, 676, 8720, 519, 2635, 3750, 282, 547, 3713, 543, 4907, 1227, 1521, 22787, 25942, 9711, 2038, 282, 547, 21559, 3617, 14296, 2390, 3257, 4255, 971, 607, 7814, 963, 11551, 1201, 3555, 267, 3092, 563, 7212, 649, 666, 3565, 519, 1034, 547, 519, 1646, 540, 513, 1126, 779, 5075, 693, 513, 1360, 2038, 2085, 267, 32661, 903, 8344, 4255, 723, 3254, 602, 8849, 4296, 616, 4646, 543, 519, 3308, 13374, 568, 20979, 607, 3735, 607, 519, 2085, 540, 476, 736, 0, 296, 6415, 15265, 609, 8638, 855, 594, 4312, 3893, 513, 1544, 585, 606, 4603, 602, 4481, 3096, 873, 267, 865, 594, 991, 547, 2307, 875, 594, 1223, 946, 873, 538, 519, 1259, 594, 1616, 563, 1692, 1131, 594, 1711, 476, 273, 8638, 5627, 476, 3953, 4632, 267, 1142, 609, 513, 1871, 540, 28219, 263, 272, 267, 273, 1040, 4746, 875, 1131, 594, 1287, 5659, 519, 476, 3953, 4632, 538, 1142, 269, 13018, 952, 835, 568, 3152, 982, 621, 781, 11218, 538, 519, 2034, 1592, 563, 7069, 1544, 568, 513, 2370, 27967, 693, 519, 4090, 855, 519, 2856, 568, 602, 1142, 1592, 6411, 607, 513, 4990, 540, 12733, 602, 666, 4161, 824, 10125, 269, 901, 3884, 1405, 513, 3014, 538, 519, 9759, 602, 513, 6345, 666, 3094, 621, 267, 621, 781, 811, 540, 513, 6310, 3014, 2147, 547, 519, 3014, 540, 1272, 630, 28053, 983, 14825, 1092, 1916, 12552, 585, 707, 948, 563, 21801, 476, 1321, 476, 1001, 272, 267, 476, 274, 281, 4905, 993, 0, 763, 25930, 26267, 814, 1044, 513, 3090, 540, 519, 2136, 2276, 2094, 476, 9965, 273, 950, 621, 729, 5116, 593, 519, 4279, 1530, 531, 540, 519, 4182, 3294, 269, 4595, 1287, 267, 519, 6071, 8289, 540, 621, 267, 950, 5116, 593, 5656, 610, 6054, 267, 814, 8612, 519, 1360, 4527, 543, 9997, 540, 519, 2136, 2276, 269, 634, 2392, 2218, 6177, 814, 6273, 11348, 538, 1082, 945, 1289, 713, 4182, 1753, 267, 543, 922, 7333, 1676, 814, 1044, 5645, 29143, 1227, 543, 13383, 1282, 2518, 7526, 269, 11408, 4712, 269, 11408, 5423, 269, 634, 23914, 2220, 334, 3591, 883, 2962, 950, 2877, 1034, 269, 670, 836, 713, 4190, 4062, 593, 4159, 547, 7618, 11570, 1946, 649, 616, 1394, 3562, 25746, 2622, 2782, 9106, 1186, 256, 0, 3963, 798, 865, 1082, 31911, 2611, 3768, 328, 30938, 286, 2164, 689, 513, 19976, 7634, 454, 26607, 11888, 267, 5437, 476, 277, 267, 476, 1001, 274, 454, 281, 476, 1321, 281, 6321, 533, 6230, 269, 910, 476, 272, 281, 1691, 533, 6230, 563, 308, 526, 328, 30938, 3987, 3788, 513, 2101, 1857, 1072, 4161, 269, 27051, 476, 1724, 260, 540, 519, 2937, 2475, 2551, 814, 3987, 267, 540, 799, 476, 2412, 260, 568, 3768, 328, 30938, 269, 3509, 31911, 723, 519, 2068, 585, 476, 278, 268, 1015, 1296, 1991, 547, 5868, 269, 634, 6662, 540, 713, 1382, 729, 547, 2697, 543, 22945, 2188, 602, 16174, 1346, 8995, 609, 3987, 8957, 1346, 945, 2611, 3768, 328, 30938, 269, 634, 11785, 9351, 7991, 2657, 630, 289, 21815, 264, 11752, 568, 513, 19976, 630, 1220, 273, 268, 1001, 273, 1070, 7292, 569, 270, 996, 333, 1227, 3309, 630, 14937, 267, 17104, 267, 6519, 264, 20165, 1353, 269, 4635, 513, 24019, 9584, 5690, 630, 10619, 260, 8417, 267, 476, 6078, 260, 23506, 1070, 649, 4857, 476, 23211, 2693, 3768, 328, 30938, 31911, 945, 941, 9672, 693, 1246, 5346, 547, 723, 2901, 8995, 610, 3768, 328, 30938, 630, 325, 8463, 7280, 3436, 476, 10219, 8406, 7933, 299, 264, 3987, 269, 2991, 606, 3328, 540, 476, 278, 269, 273, 1296, 540, 1246, 5346, 267, 476, 1321, 269, 275, 260, 1185, 1044, 8995, 267, 1247, 476, 1724, 269, 273, 260, 7283, 3768, 328, 30938, 269, 25037, 532, 609, 3105, 2090, 649, 1336, 9444, 1124, 1675, 655, 4919, 2188, 630, 15869, 270, 30710, 640, 267, 2085, 267, 7694, 4567, 267, 13567, 267, 2069, 267, 562, 18356, 267, 29281, 4567, 1070, 2564, 1416, 1569, 3800, 630, 1231, 4269, 267, 2834, 1416, 267, 11564, 547, 519, 4387, 1070, 6862, 1034, 1072, 3800, 630, 1260, 27225, 2175, 267, 1920, 1686, 540, 3987, 267, 6646, 946, 693, 15977, 264, 13747, 519, 8995, 689, 519, 3768, 328, 30938, 269, 5564, 21725, 26848, 9695, 3631, 7000, 3987, 5868, 729, 1644, 547, 4358, 946, 540, 2493, 1231, 630, 3036, 284, 277, 269, 10844, 267, 16275, 476, 273, 269, 3374, 268, 736, 269, 4391, 28872, 284, 283, 271, 269, 9826, 264, 610, 4550, 1506, 13630, 2400, 6527, 630, 3036, 476, 271, 269, 1789, 267, 16275, 476, 271, 269, 6021, 268, 271, 269, 11152, 267, 533, 284, 271, 269, 271, 4391, 1040, 901, 4466, 949, 5815, 3987, 568, 8995, 694, 16781, 760, 527, 3585, 630, 534, 6397, 4466, 5833, 689, 513, 8470, 1247, 10992, 8501, 2157, 1070, 4929, 513, 10629, 547, 14719, 622, 3987, 543, 1449, 14013, 269, 2859, 9836, 2038, 543, 1942, 3608, 7020, 267, 543, 1447, 688, 874, 1794, 731, 23139, 610, 694, 16781, 760, 527, 748, 5868, 267, 568, 2838, 952, 649, 616, 547, 6707, 4383, 519, 24567, 15435, 540, 3987, 563, 26368, 2188, 602, 16174, 1346, 8995, 609, 3987, 8957, 1346, 945, 2611, 3768, 328, 30938, 563, 7659, 5320, 4433, 2567, 12128, 267, 30587, 454, 303, 6974, 532, 2278, 781, 23930, 3948, 912, 304, 783, 1881, 593, 519, 1543, 594, 993, 3743, 585, 1317, 281, 594, 723, 1044, 519, 9030, 31375, 540, 2789, 10480, 518, 958, 14102, 14828, 6313, 7292, 543, 6803, 13103, 538, 5312, 2068, 630, 10972, 3449, 267, 9025, 2068, 267, 579, 6331, 545, 2589, 267, 543, 1928, 1040, 3733, 3119, 3621, 1719, 568, 771, 550, 836, 1782, 519, 1082, 20334, 547, 7292, 270, 30710, 13103, 538, 5312, 2068, 563, 12179, 4143, 2883, 3347, 286, 3143, 454, 296, 3858, 547, 16783, 609, 519, 1977, 5398, 2657, 5948, 18366, 540, 9314, 543, 20497, 8081, 13832, 2676, 663, 547, 30035, 547, 519, 5171, 1022, 1055, 2000, 8475, 610, 8097, 3096, 540, 513, 5010, 1587, 610, 3028, 5941, 454, 514, 1250, 6881, 269, 0, 291, 15967, 543, 519, 20550, 13239, 3619, 547, 8805, 281, 6478, 9612, 476, 273, 454, 20091, 1772, 27284, 454, 5475, 2542, 667, 15967, 543, 519, 20550, 13239, 3619, 547, 8805, 676, 5204, 323, 32129, 267, 946, 713, 7792, 543, 6478, 9612, 11015, 547, 8831, 2875, 1565, 269, 4855, 543, 5858, 1913, 2066, 267, 1524, 267, 543, 25241, 958, 563, 275, 910, 476, 279, 454, 7093, 11860, 910, 476, 274, 6113, 0, 20332, 5240, 1923, 476, 1015, 4873, 476, 1001, 276, 454, 763, 15544, 585, 8376, 6513, 543, 10644, 2899, 1185, 513, 2864, 1434, 10639, 1851, 4892, 543, 519, 1158, 267, 855, 602, 10639, 5170, 547, 1491, 16125, 607, 811, 1344, 3587, 2139, 827, 875, 519, 8116, 3252, 543, 922, 13218, 547, 2872, 563, 5629, 512, 719, 539, 607, 606, 968, 785, 8817, 892, 9872, 267, 513, 2487, 3329, 894, 1867, 3370, 538, 634, 22720, 297, 630, 23873, 6481, 4750, 264, 676, 12314, 9375, 14639, 928, 22255, 10045, 7125, 883, 2243, 519, 15509, 779, 8699, 269, 25408, 267, 519, 1867, 9727, 875, 519, 8116, 814, 1044, 1447, 982, 9237, 538, 922, 8313, 540, 771, 8010, 619, 538, 922, 1378, 2090, 950, 17548, 602, 968, 16269, 723, 1100, 2883, 4690, 610, 824, 3347, 609, 519, 9755, 540, 5010, 2472, 3034, 4407, 519, 3377, 1281, 711, 2097, 607, 513, 8710, 518, 547, 1346, 540, 721, 538, 4244, 2923, 267, 519, 1344, 568, 18562, 29810, 538, 602, 621, 729, 3370, 538, 835, 540, 519, 30856, 2564, 2257, 13746, 269, 22255, 10045, 267, 538, 1200, 1867, 267, 4330, 519, 4644, 540, 519, 1867, 543, 519, 3760, 538, 799, 621, 729, 3370, 912, 763, 15509, 779, 3239, 607, 606, 4830, 4585, 27594, 936, 519, 1857, 1072, 814, 2016, 621, 11999, 31449, 267, 543, 922, 7840, 616, 12212, 24451, 676, 1876, 563, 9515, 1287, 4682, 593, 547, 10839, 16205, 807, 4911, 749, 267, 519, 5449, 9375, 2987, 268, 27815, 540, 519, 1715, 4789, 4750, 540, 6925, 912, 763, 15509, 814, 11999, 17258, 1851, 13500, 267, 538, 1100, 1507, 851, 1317, 519, 8116, 568, 3622, 2219, 547, 581, 1863, 540, 2872, 9186, 269, 11038, 4308, 902, 609, 1979, 2684, 1301, 11914, 3549, 21279, 602, 10639, 563, 2108, 12041, 2213, 2108, 547, 3398, 8262, 1912, 12609, 968, 325, 27448, 2108, 454, 299, 523, 10045, 1287, 2488, 12319, 538, 1200, 1867, 827, 875, 519, 15509, 814, 20335, 6634, 540, 9489, 538, 968, 8114, 2722, 13344, 543, 7616, 892, 693, 2547, 2094, 476, 2735, 274, 630, 1492, 8116, 729, 8547, 538, 476, 3707, 277, 1916, 2108, 8601, 519, 8116, 779, 771, 25068, 267, 519, 15509, 1281, 4309, 6634, 540, 9489, 538, 2872, 13344, 543, 7616, 267, 1312, 2047, 543, 18549, 267, 543, 1896, 2487, 15509, 3527, 543, 7840, 723, 6659, 2055, 827, 519, 2257, 621, 524, 2572, 267, 519, 4791, 4808, 621, 8992, 267, 543, 519, 2724, 621, 568, 2921, 2223, 454, 1103, 476, 2735, 274, 267, 22255, 10045, 3081, 267, 519, 15509, 729, 968, 10461, 2213, 892, 547, 3398, 7616, 689, 8262, 1912, 12609, 3549, 267, 543, 602, 538, 476, 1960, 276, 6837, 9516, 9086, 1107, 9896, 883, 1876, 676, 5518, 9291, 22735, 1107, 968, 1729, 5000, 3347, 1063, 2872, 543, 519, 15509, 3034, 763, 1867, 4422, 593, 547, 2285, 513, 1297, 540, 1806, 540, 875, 8262, 1912, 12609, 7616, 814, 2693, 4299, 519, 4093, 540, 1382, 602, 729, 1031, 547, 3895, 30940, 6527, 563, 2026, 7849, 5240, 814, 5892, 4080, 267, 519, 15509, 568, 2965, 513, 585, 17416, 18294, 267, 607, 789, 616, 3622, 3989, 267, 1454, 899, 519, 1964, 540, 519, 5313, 2229, 267, 799, 814, 1044, 4421, 1055, 547, 519, 5207, 9746, 536, 1342, 518, 563, 1103, 602, 1867, 267, 649, 7000, 602, 519, 15509, 729, 7396, 538, 513, 14480, 333, 1299, 17659, 560, 22901, 6538, 607, 513, 585, 17416, 11769, 267, 1256, 1498, 621, 568, 9277, 547, 581, 513, 1857, 267, 711, 16519, 17416, 11769, 630, 553, 22255, 10045, 7074, 267, 772, 2529, 269, 27710, 16558, 14102, 519, 15509, 547, 519, 19820, 540, 827, 1269, 277, 269, 277, 5479, 2063, 1032, 1916, 2171, 849, 13615, 519, 15509, 547, 519, 14453, 2872, 267, 799, 11394, 547, 7443, 676, 9247, 5329, 721, 7210, 543, 8200, 593, 6527, 563, 15253, 668, 2213, 676, 21910, 543, 26846, 454, 3719, 5310, 9039, 540, 713, 1058, 9983, 721, 267, 6236, 2229, 8041, 540, 782, 26145, 723, 1100, 1966, 14084, 547, 519, 1360, 4961, 945, 2628, 585, 741, 6228, 563, 2026, 7849, 5240, 9375, 19375, 17566, 267, 519, 2657, 681, 9734, 267, 7074, 5063, 3823, 519, 715, 6347, 968, 3650, 16995, 2223, 538, 799, 13416, 2923, 4080, 602, 519, 4182, 779, 30856, 22342, 8116, 2731, 729, 10678, 922, 2527, 13178, 540, 4892, 950, 14074, 540 ]

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

[ 0, 297, 1783, 10787, 1067, 692, 1708, 272, 268, 6349, 268, 5400, 692, 8110, 845, 519, 22606, 12980, 563, 7445, 3847, 263, 866, 268, 279, 9368, 9385, 28783, 3189, 22364, 346, 271, 269, 5780, 278, 655, 2410, 271, 1410, 14990, 9507, 346, 7116, 4153, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 14990, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 3686, 278, 6911, 291, 7702, 692, 3721, 476, 272, 454, 7072, 540, 12980, 22606, 281, 910, 2913, 476, 275, 267, 645, 543, 681, 581, 606, 9981, 1287, 606, 12980, 22606, 666, 581, 3989, 607, 630, 288, 264, 7116, 1269, 289, 284, 305, 14204, 8489, 267, 1269, 288, 284, 259, 3900, 550, 454, 259, 289, 284, 259, 1109, 15965, 529, 528, 454, 259, 305, 284, 259, 14230, 454, 3721, 476, 273, 454, 11693, 602, 4399, 3847, 263, 866, 268, 279, 9368, 9385, 28783, 3189, 22364, 346, 271, 269, 5780, 278, 655, 2410, 271, 1410, 14990, 9507, 346, 7116, 4153, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 14990, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 3686, 278, 14204, 2005, 666, 581, 530, 686, 527, 523, 607, 454, 7445, 3847, 263, 866, 268, 279, 9368, 9385, 28783, 3189, 22364, 346, 271, 269, 5780, 278, 655, 2410, 271, 1410, 14990, 9507, 346, 7116, 4153, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 14990, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 3686, 278, 7807, 3847, 263, 1556, 9368, 9385, 28783, 3189, 22364, 346, 271, 269, 5780, 278, 655, 2410, 271, 1410, 14990, 9507, 346, 7116, 4153, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 14990, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 3686, 278, 14204, 7445, 3667, 346, 7712, 4153, 2765, 346, 1556, 2410, 278, 13157, 275, 14204, 7445, 3667, 346, 11997, 9574, 315, 3847, 263, 1556, 9368, 9385, 28783, 3189, 22364, 346, 271, 269, 5780, 278, 655, 2410, 271, 1410, 14990, 9507, 346, 7116, 4153, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 14990, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 3686, 278, 284, 275, 14204, 17798, 2676, 7445, 3847, 263, 866, 268, 279, 9368, 9385, 28783, 3189, 22364, 346, 271, 269, 5780, 278, 655, 2410, 271, 1410, 14990, 9507, 346, 7116, 4153, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 14990, 28783, 3189, 22364, 346, 271, 269, 15757, 655, 2410, 271, 1410, 3686, 278, 284, 275, 6911, 2710, 596, 723, 513, 2147, 2243, 286, 0, 269, 3393, 5258, 676, 476, 1015, 888, 9223, 454, 16485, 539, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 1839, 281, 3393, 7537, 454, 24993, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 5655, 281, 4510, 7537, 454, 338, 454, 24314, 6643, 454, 27165, 281, 1547, 3393, 5258, 676, 476, 1015, 2496, 2171, 1122, 344, 281, 476, 271, 269, 3393, 5258, 676, 476, 1015, 11224, 476, 271, 269, 271, 3393, 476, 271, 269, 3393, 270, 1015, 815, 476, 271, 269, 271, 3393, 454, 30360, 476, 272, 692, 27165, 281, 476, 1556, 266, 272, 266, 271, 269, 272, 266, 269, 18733, 266, 269, 18733, 272, 692, 9223, 454, 16485, 539, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 1839, 281, 3393, 7537, 454, 24993, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 5655, 281, 4510, 7537, 454, 305, 908, 454, 275, 454, 1556, 266, 272, 266, 271, 269, 272, 266, 269, 18733, 266, 269, 18733, 272, 815, 476, 1321, 269, 14338, 272, 454, 3849, 4765, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 5655, 281, 4510, 7537, 454, 305, 730, 1434, 676, 7603, 1537, 323, 287, 2420, 692, 26524, 4280, 676, 519, 1482, 21233, 454, 6343, 568, 519, 2854, 1106, 540, 519, 8918, 1297, 1547, 4817, 275, 888, 2171, 1122, 344, 281, 27607, 4627, 15823, 21144, 8536, 2195, 568, 519, 2854, 1106, 540, 519, 8918, 1297, 1547, 4817, 275, 269, 14871, 281, 18110, 8918, 1284, 1122, 344, 281, 589, 18110, 8918, 568, 513, 8918, 1297, 602, 3568, 513, 7857, 610, 1895, 540, 9704, 602, 10956, 1439, 8393, 269, 14871, 281, 799, 540, 519, 1739, 1806, 4564, 513, 18110, 8918, 286, 513, 269, 476, 272, 269, 9340, 14625, 536, 269, 476, 271, 269, 11277, 11277, 524, 269, 476, 271, 269, 6507, 278, 6507, 278, 546, 269, 476, 275, 269, 21857, 30589, 1284, 1122, 344, 281, 476, 271, 269, 6507, 278, 6507, 278, 4564, 513, 18110, 8918, 269, 14871, 281, 1689, 519, 6824, 476, 279, 270, 2004, 883, 513, 8918, 1284, 1122, 344, 281, 634, 6824, 476, 279, 270, 2004, 4957, 547, 513, 8918, 568, 476, 271, 269, 1626, 269, 14871, 281, 1689, 519, 6824, 476, 275, 270, 1724, 883, 513, 8918, 269, 5180, 1055, 547, 519, 14282, 8536, 628, 630, 5415, 994, 9223, 454, 24993, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 2918, 281, 6021, 7537, 454, 275, 270, 1724, 607, 513, 8918, 568, 476, 271, 269, 28143, 454, 11405, 454, 275, 383, 371, 1724, 284, 476, 271, 269, 476, 28143, 454, 3849, 4765, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 2190, 281, 6078, 7537, 454, 763, 6824, 476, 275, 270, 1724, 607, 513, 8918, 17031, 547, 519, 14282, 8536, 628, 568, 476, 271, 269, 28143, 454, 3849, 4765, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 2190, 281, 7367, 7537, 454, 275, 270, 1724, 607, 513, 8918, 568, 476, 271, 269, 28143, 454, 11405, 912, 275, 383, 371, 1724, 284, 476, 271, 269, 476, 28143, 454, 3849, 4765, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 2190, 281, 6795, 7537, 454, 275, 270, 1724, 815, 476, 271, 269, 28906, 7597, 273, 454, 271, 269, 28906, 7597, 273, 568, 11224, 547, 476, 271, 269, 28143, 17031, 1055, 547, 519, 14282, 8536, 628, 563, 3849, 4765, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 2918, 281, 6021, 7537, 454, 320, 2447, 626, 26693, 1614, 5094, 5439, 693, 476, 271, 269, 1704, 6121, 267, 476, 271, 269, 14225, 6121, 267, 543, 476, 273, 269, 274, 6121, 269, 1018, 568, 519, 2698, 2597, 540, 519, 1614, 5439, 888, 2171, 1122, 344, 281, 589, 2447, 626, 26693, 1614, 5094, 1449, 5439, 693, 476, 271, 269, 1704, 6121, 267, 476, 271, 269, 14225, 6121, 267, 543, 476, 273, 269, 274, 10101, 269, 476, 273, 269, 6858, 275, 10101, 568, 519, 2698, 2597, 540, 519, 1614, 5439, 269, 476, 271, 269, 1704, 575, 332, 1341, 476, 271, 269, 14225, 575, 332, 1341, 476, 273, 269, 274, 575, 332, 815, 273, 269, 6858, 275, 575, 332, 14871, 281, 476, 273, 269, 272, 266, 274, 269, 3953, 268, 272, 269, 275, 284, 1284, 1122, 344, 281, 476, 273, 269, 272, 1341, 476, 274, 269, 3953, 7790, 476, 272, 269, 275, 815, 476, 276, 269, 5655, 910, 272, 269, 275, 815, 476, 275, 269, 6349, 14871, 281, 476, 271, 269, 4375, 343, 280, 630, 5415, 994, 9223, 454, 24993, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 1789, 281, 2764, 7537, 454, 271, 269, 4375, 343, 280, 815, 476, 274, 269, 7906, 454, 3849, 4765, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 1789, 281, 2764, 7537, 454, 527, 3790, 519, 2298, 2754, 8096, 269, 1691, 547, 2196, 922, 8709, 269, 593, 544, 10185, 519, 8709, 14612, 476, 9262, 269, 277, 5195, 269, 875, 1454, 1705, 621, 1942, 547, 2196, 519, 8709, 602, 1554, 888, 2171, 1122, 344, 281, 898, 1942, 8096, 1321, 269, 2918, 547, 2196, 519, 8709, 602, 1554, 269, 476, 1691, 2608, 476, 9262, 269, 277, 815, 8096, 1321, 269, 2918, 14871, 281, 513, 546, 745, 1375, 626, 568, 8600, 513, 6646, 269, 3962, 23555, 3340, 1547, 23669, 10101, 540, 29469, 269, 1261, 814, 476, 1691, 10101, 540, 29469, 269, 875, 1082, 29893, 666, 646, 5965, 286, 1284, 1122, 344, 281, 1261, 666, 5965, 476, 1220, 271, 29893, 269, 476, 1691, 1315, 476, 271, 269, 23669, 815, 476, 1220, 271, 29893, 269, 14871, 281, 1018, 568, 1547, 18357, 2854, 538, 922, 14724, 6824, 1106, 286, 1284, 1122, 344, 281, 476, 271, 269, 18357, 2854, 538, 922, 14724, 6824, 1106, 607, 476, 18357, 270, 1911, 271, 14871, 281, 476, 278, 269, 272, 266, 1626, 269, 6860, 268, 269, 273, 1284, 1122, 344, 281, 8827, 815, 278, 269, 272, 1341, 476, 1626, 269, 6860, 7790, 1547, 273, 815, 476, 2537, 269, 1691, 910, 1547, 273, 815, 476, 2420, 269, 11463, 5775, 269, 14871, 281, 513, 10189, 540, 2666, 14132, 568, 8096, 277, 269, 7176, 269, 634, 3902, 829, 11013, 568, 8096, 274, 269, 10436, 269, 1215, 1082, 6550, 540, 2666, 14132, 616, 538, 519, 10189, 286, 630, 5415, 994, 9223, 454, 24993, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 4029, 281, 4962, 7537, 454, 288, 10189, 540, 2666, 14132, 3790, 8096, 277, 269, 7176, 269, 634, 3902, 829, 11013, 568, 8096, 274, 269, 10436, 269, 4475, 267, 476, 272, 269, 10037, 6550, 540, 2666, 14132, 616, 538, 519, 10189, 269, 8827, 281, 476, 277, 269, 7176, 1315, 476, 274, 269, 10436, 815, 476, 272, 269, 3199, 279, 3066, 563, 3849, 4765, 476, 14625, 2395, 3516, 347, 273, 270, 278, 270, 1708, 274, 476, 272, 281, 4029, 281, 4962, 7537, 454, 4391, 267, 280, 6078, 267, 5325, 275, 454, 28082, 22062, 725, 454, 15697, 533, 16820, 568, 513, 2462, 1966, 585, 519, 2475, 1317, 454, 2171, 1122, 344, 281, 623, 16820, 568, 3335, 606, 957, 540, 3775, 25053, 610, 7803, 5208, 693, 4262, 563, 1692, 1082, 2829, 4646, 519, 1476, 25005, 776, 888, 2171, 1122, 344, 281, 476, 1556, 630, 292, 548, 1597, 2567, 2829, 4646, 519, 1476, 25005, 2329, 563, 7617, 540, 519, 1739, 6898, 6257, 12933, 30702, 286, 589, 269, 16840, 4429, 2171, 1122, 344, 281, 595, 6412, 30702, 616, 281, 2818, 540, 519, 818, 6605, 617, 18105, 636, 945, 723, 12933, 344, 267, 2182, 267, 9018, 16115, 269, 14871, 281, 6904, 540, 519, 4429, 6343, 568, 476, 2537, 16302, 454, 2171, 1122, 344, 281, 476, 2537, 16302, 568, 476, 276, 3066, 269, 476, 2537, 2608, 476, 2537, 815, 476, 276, 3066, 14871, 281, 4194, 585, 1535, 538, 519, 3830, 1535, 7132, 476, 1015, 11224, 476, 1428, 1284, 1122, 344, 281, 586, 1341, 630, 476, 277, 264, 815, 476, 280, 4429, 7617, 835, 540, 519, 1739, 5220, 568, 23827, 894, 286, 589, 264, 763, 27574, 4429, 2171, 1122, 344, 281, 634, 1739, 5220, 568, 23827, 894, 281, 834, 1432, 786, 596, 798, 950, 519, 1134, 4422, 3819, 834, 14871, 281, 1548, 568, 835, 1259, 547, 4429, 20330, 7476, 4267, 689, 1284, 1122, 344, 543, 513, 2319, 540, 2731, 5100, 2661, 4966, 563, 306, 454, 299, 454, 32622, 476, 866, 1496, 13707, 476, 28590, 274, 316, 13158, 902, 476, 272, 22227, 476, 280, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 1428, 1496, 13707, 476, 6200, 275, 316, 13158, 902, 476, 272, 22227, 476, 276, 769, 10903, 725, 476, 271, 6732, 454, 306, 454, 299, 454, 305, 454, 299, 454, 32622, 476, 1015, 1496, 13707, 476, 278, 866, 278, 316, 13158, 902, 476, 271, 22227, 476, 1015, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 303, 454, 32622, 476, 1015, 1496, 13707, 476, 3393, 280, 273, 316, 13158, 902, 476, 271, 22227, 476, 1015, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 279, 1496, 13707, 476, 26552, 274, 316, 13158, 902, 476, 271, 22227, 476, 279, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 277, 1496, 13707, 476, 7597, 278, 316, 13158, 902, 476, 271, 22227, 476, 277, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 303, 454, 305, 454, 299, 454, 32622, 476, 275, 1496, 13707, 476, 27843, 275, 316, 13158, 902, 476, 271, 22227, 476, 275, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454 ]

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

[ 4002, 25547, 18967, 540, 707, 4434, 8569, 267, 649, 693, 3004, 7232, 2381, 550, 3127, 786, 1832, 596, 5483, 540, 519, 3356, 1500, 593, 707, 1433, 902, 543, 786, 2671, 519, 9672, 4567, 609, 596, 563, 268, 18696, 32237, 454, 763, 18696, 540, 519, 3902, 540, 707, 9702, 1590, 581, 6976, 693, 2547, 513, 3018, 1991, 689, 707, 12625, 4266, 952, 596, 616, 1818, 8569, 998, 7813, 18734, 610, 998, 6666, 610, 5491, 3556, 2390, 12625, 593, 4303, 476, 272, 563, 604, 596, 3068, 1022, 1966, 1282, 519, 4663, 609, 721, 267, 5225, 1867, 1482, 942, 547, 14538, 6935, 11464, 945, 786, 581, 538, 5905, 2429, 519, 4663, 610, 519, 9614, 540, 519, 15678, 538, 799, 596, 616, 9363, 610, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 476, 1626, 281, 13898, 543, 11473, 10632, 910, 4197, 7780, 4106, 31791, 998, 834, 763, 19336, 5016, 5331, 952, 596, 1223, 1404, 513, 3014, 1141, 596, 616, 32286, 267, 519, 5869, 689, 834, 763, 19336, 1701, 1411, 666, 18846, 4641, 267, 546, 17690, 4439, 7410, 267, 543, 4688, 8103, 256, 2334, 4992, 7168, 15813, 267, 3085, 1405, 621, 286, 1717, 267, 1018, 952, 1152, 513, 1906, 1004, 5129, 713, 3014, 1813, 547, 922, 7294, 3652, 543, 20585, 1650, 1467, 286, 14348, 602, 1869, 581, 1187, 2496, 3086, 1577, 781, 1451, 827, 3351, 23540, 267, 513, 6138, 7255, 609, 8236, 519, 6574, 1434, 585, 519, 6574, 1297, 540, 1004, 269, 4340, 547, 713, 2856, 267, 1945, 630, 3697, 4730, 513, 3579, 3014, 264, 568, 25432, 1318, 952, 621, 2164, 538, 811, 8788, 2949, 3379, 547, 1022, 824, 4244, 2962, 269, 1924, 267, 1256, 1498, 1373, 32286, 949, 3280, 5863, 267, 952, 1360, 1906, 1004, 2972, 4730, 607, 1864, 267, 1287, 6148, 972, 781, 513, 1732, 1259, 547, 1374, 519, 3014, 547, 3142, 7772, 547, 811, 32266, 269, 901, 1523, 568, 1572, 1412, 320, 2071, 3351, 23540, 9538, 692, 4131, 781, 946, 930, 4948, 1806, 547, 1174, 3328, 3351, 23540, 1384, 7078, 476, 272, 281, 5994, 707, 1362, 6499, 547, 1544, 513, 9983, 14512, 5428, 1282, 12899, 5503, 585, 835, 2875, 945, 14560, 16741, 269, 1703, 616, 1079, 3681, 1107, 19280, 476, 736, 10750, 10381, 533, 11170, 553, 10758, 3478, 3368, 10750, 10381, 543, 3368, 14723, 18223, 269, 4595, 649, 1616, 547, 11694, 3025, 781, 8788, 267, 6998, 1472, 1131, 948, 721, 4137, 856, 799, 4781, 1034, 3214, 4782, 269, 1403, 811, 1053, 4782, 14723, 18223, 936, 1175, 10750, 10381, 267, 1287, 9140, 3368, 7146, 28451, 533, 625, 786, 1267, 538, 3152, 2698, 8788, 1851, 1053, 269, 9747, 267, 2687, 547, 3328, 3351, 23540, 267, 7446, 519, 3368, 7146, 28451, 533, 11170, 553, 1131, 581, 519, 1655, 3375, 2094, 621, 6770, 811, 12257, 547, 519, 5354, 780, 7078, 476, 273, 281, 14597, 707, 1153, 814, 4956, 547, 1628, 2901, 513, 1007, 5399, 610, 513, 13558, 2361, 269, 2991, 5619, 532, 8284, 1053, 267, 3610, 267, 543, 3237, 267, 596, 1265, 856, 602, 5594, 811, 1004, 3870, 2679, 513, 5399, 3079, 540, 513, 13558, 2361, 269, 11088, 267, 1210, 3328, 3351, 23540, 3741, 267, 14335, 519, 5399, 1131, 1291, 547, 2362, 7104, 8788, 3379, 547, 519, 13558, 2361, 269, 2859, 2043, 4324, 689, 2542, 2835, 267, 10647, 1382, 267, 543, 11018, 2200, 693, 519, 5399, 2864, 982, 1175, 1346, 5461, 538, 5026, 780, 28274, 891, 2035, 547, 938, 4505, 1383, 827, 519, 834, 30467, 257, 3014, 267, 4952, 9367, 3605, 602, 4657, 875, 32286, 4249, 5012, 547, 811, 32266, 11981, 519, 1995, 269, 17610, 267, 5884, 14551, 11655, 1522, 13889, 971, 2242, 7620, 267, 855, 952, 811, 1004, 1439, 909, 15962, 519, 3014, 267, 9327, 1405, 602, 6364, 1711, 5021, 8788, 2949, 286, 1656, 3884, 1405, 10825, 7772, 547, 519, 4102, 2009, 5304, 4010, 1018, 3328, 3351, 23540, 6663, 547, 3035, 2496, 1103, 3932, 267, 1620, 10952, 5322, 899, 3351, 23540, 2636, 721, 547, 1589, 9691, 827, 1585, 3344, 540, 1272, 1765, 16838, 3381, 3756, 256, 1635, 17935, 547, 3132, 519, 6574, 2318, 1764, 585, 519, 1034, 7986, 1895, 540, 1004, 267, 649, 11441, 2509, 3664, 602, 3565, 25273, 543, 7839, 9547, 269, 5457, 267, 3006, 3257, 1018, 2306, 519, 1034, 2043, 6126, 949, 1611, 19480, 2476, 689, 2245, 543, 8508, 1689, 269, 1306, 2104, 3401, 543, 3048, 2209, 267, 1832, 713, 6240, 2673, 547, 2295, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 23219, 1676, 645, 4592, 269, 20308, 30007, 4941, 547, 1118, 513, 2462, 10943, 1662, 538, 519, 3381, 3014, 1158, 1394, 538, 4728, 950, 621, 5189, 968, 30467, 6732, 2223, 513, 2527, 1947, 3818, 16651, 2228, 3014, 1759, 593, 519, 2899, 3620, 582, 4670, 29929, 269, 634, 3014, 1500, 513, 2462, 10943, 1662, 782, 1318, 267, 13328, 540, 654, 2117, 2761, 281, 20993, 519, 3014, 2872, 15080, 899, 513, 17987, 1166, 641, 563, 7021, 922, 1101, 1614, 3275, 519, 3014, 9896, 909, 7864, 982, 476, 2004, 267, 1822, 32224, 267, 513, 8486, 339, 766, 267, 865, 538, 4873, 267, 2782, 1676, 2759, 536, 7159, 543, 8815, 547, 6133, 519, 3014, 547, 590, 3415, 269, 7831, 3923, 968, 30467, 6732, 892, 729, 17498, 1242, 689, 8370, 5691, 968, 9418, 916, 892, 547, 1614, 267, 1317, 3755, 941, 2348, 513, 2182, 942, 4466, 835, 1776, 538, 519, 3014, 779, 5318, 3059, 15293, 4884, 563, 763, 13542, 540, 968, 30467, 6732, 892, 941, 14356, 540, 2782, 1676, 779, 1378, 1818, 282, 1082, 5716, 543, 13915, 3858, 602, 519, 3014, 568, 513, 18657, 665, 516, 1995, 269, 1809, 519, 2228, 2344, 1031, 547, 1118, 4055, 585, 18657, 665, 516, 3756, 269, 3767, 267, 519, 6626, 7613, 568, 602, 865, 1082, 733, 11367, 267, 1519, 968, 30467, 6732, 2223, 3274, 3112, 1796, 909, 547, 519, 11566, 8560, 540, 593, 4802, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 6579, 5308, 8008, 14176, 1315, 28073, 1315, 7780, 4106, 31791, 1315, 19105, 7780, 4106, 31791, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 11879, 21929, 1143, 910, 15154, 6145, 513, 26831, 692, 5331, 596, 2811, 513, 19792, 3843, 547, 4194, 513, 9814, 269, 1411, 5531, 10881, 267, 2911, 547, 22168, 267, 543, 2097, 909, 609, 1114, 6436, 827, 1018, 5949, 269, 3973, 267, 596, 1449, 707, 6436, 676, 3168, 693, 519, 2963, 543, 7487, 952, 789, 3180, 909, 269, 1403, 789, 1810, 1405, 267, 596, 979, 1394, 547, 519, 5373, 4604, 543, 2119, 1586, 269, 901, 1184, 568, 2147, 547, 1945, 1572, 2565, 7787, 1143, 2439, 3383, 267, 1018, 4010, 568, 2565, 7787, 1143, 286, 4270, 267, 1577, 781, 2736, 1524, 922, 2012, 1101, 269, 1412, 27287, 262, 1797, 5402, 6236, 610, 32198, 1945, 267, 1247, 1412, 16884, 1143, 262, 4016, 547, 18468, 538, 2601, 543, 7954, 936, 824, 1919, 899, 5132, 610, 2245, 269, 8625, 267, 2565, 7787, 1143, 568, 782, 827, 4152, 938, 2093, 543, 4978, 1996, 2963, 543, 1373, 1930, 547, 4657, 873, 952, 649, 1265, 856, 1007, 1344, 780, 3086, 267, 875, 1281, 713, 9305, 547, 2257, 543, 6138, 286, 6153, 2243, 256, 5994, 596, 1616, 547, 1174, 1946, 519, 6607, 568, 4544, 269, 589, 2565, 7787, 626, 1131, 1376, 676, 4947, 909, 609, 1082, 2009, 3137, 267, 971, 607, 6148, 621, 814, 1945, 547, 798, 609, 7943, 267, 2011, 5536, 267, 610, 1256, 9813, 2029, 256, 1809, 3079, 540, 1175, 16116, 835, 3069, 543, 23578, 547, 621, 1100, 2339, 1018, 267, 513, 2565, 7787, 626, 1131, 1413, 693, 1142, 2856, 5702, 543, 1294, 799, 3283, 666, 581, 6462, 676, 2963, 543, 799, 3283, 3112, 269, 1358, 1522, 2932, 6901, 267, 2445, 1239, 267, 543, 5077, 4966, 538, 4610, 899, 6323, 543, 7998, 269, 9122, 593, 741, 4681, 267, 789, 1223, 1287, 6430, 2436, 741, 3312, 2093, 941, 2953, 610, 991, 2847, 2358, 780, 3719, 1934, 781, 1141, 1919, 1205, 4277, 281, 1256, 1310, 11018, 6266, 540, 2963, 267, 513, 3020, 2565, 7787, 626, 6487, 602, 972, 949, 1869, 581, 1732, 3137, 7996, 547, 581, 4362, 269, 2334, 781, 1317, 2257, 3884, 1405, 827, 18445, 3054, 1318, 282, 621, 781, 827, 3478, 6251, 547, 519, 5168, 676, 7683, 15819, 543, 17975, 938, 1620, 540, 519, 1158, 269, 1924, 267, 1256, 952, 2576, 14659, 789, 723, 23125, 856, 1946, 519, 6607, 568, 4544, 267, 789, 1058, 2141, 3251, 8049, 543, 1832, 1565, 2439, 4131, 781, 1491, 1776, 1383, 547, 9414, 713, 1523, 2417, 269, 14597, 596, 1616, 547, 4137, 856, 1946, 930, 1004, 1831, 7189, 1247, 1866, 1831, 5159, 269, 2290, 1259, 547, 2263, 713, 2243, 568, 676, 6313, 1585, 2188, 899, 1920, 4282, 267, 2069, 267, 2123, 4690, 267, 543, 2686, 7506, 269, 4635, 2565, 7787, 1143, 267, 596, 1131, 5352, 2789, 19165, 7713, 891, 3270, 267, 899, 5310, 1978, 7209, 7592, 1291, 2043, 2509, 1880, 11678, 610, 6148, 1569, 547, 2200, 4249, 513, 1713, 1909, 269, 30850, 267, 596, 1131, 6218, 1142, 8367, 1210, 4143, 1239, 2959, 543, 25107, 2553, 1354, 16561, 610, 7947, 532, 1022, 2016, 7778, 269, 5457, 267, 1498, 267, 602, 4466, 2178, 2963, 3085, 1405, 1611, 596, 4312, 1336, 519, 6207, 2626, 22924, 3274, 6770, 596, 835, 1900, 6251, 547, 26762, 519, 1950, 2078, 1063, 1367, 5079, 543, 6848, 3889, 780, 1103, 5758, 267, 2565, 7787, 1143, 7512, 721, 547, 1589, 23963, 676, 10451, 3875, 7399, 267, 10442, 873, 9691, 267, 543, 6967, 32615, 547, 12381, 838, 13899, 676, 3209, 4030, 269, 1635, 8508, 713, 14820, 267, 649, 6536, 7214, 2208, 267, 20741, 7279, 267, 543, 6830, 1518, 6000, 1996, 20887, 269, 3767, 267, 945, 9327, 1405, 1616, 602, 2706, 12741, 26834, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 272, 269, 634, 2165, 2048, 322, 738, 12147, 7471, 2090, 685, 568, 4294, 547, 513, 1808, 267, 1480, 2065, 2186, 540, 15834, 2090, 538, 519, 1858, 540, 3656, 543, 1514, 9443, 269, 5525, 616, 31002, 609, 713, 2165, 950, 789, 616, 1759, 593, 1455, 267, 20244, 10058, 267, 2489, 27696, 4808, 7282, 519, 19862, 540, 519, 4852, 12330, 540, 2143, 2164, 540, 1382, 538, 519, 1858, 540, 3656, 543, 1514, 9443, 269, 1452, 4808, 616, 1031, 547, 1711, 513, 7811, 2203, 602, 5713, 607, 513, 1907, 538, 519, 3102, 267, 13865, 3408, 543, 7778, 540, 5697, 267, 2356, 3833, 17618, 30431, 730, 267, 543, 950, 2009, 1107, 7471, 883, 1514, 14426, 9988, 267, 1966, 520, 2213, 15998, 540, 1514, 543, 29708, 4641, 269, 6270, 2203, 568, 3710, 538, 1079, 2081, 269, 4438, 2034, 22533, 2079, 630, 16149, 776, 2079, 1070, 621, 568, 9112, 998, 513, 3102, 946, 540, 1239, 5833, 689, 1382, 538, 519, 1858, 540, 2143, 3656, 267, 1514, 543, 1480, 2065, 9443, 269, 898, 568, 849, 4646, 607, 513, 1267, 540, 13844, 1239, 2047, 1210, 2409, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27287, 21929, 1143, 257, 607, 851, 540, 834, 306, 11799, 1315, 13898, 1299, 4317, 31834, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837 ]

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

[ 0, 10932, 2861, 12326, 543, 1357, 2861, 2238, 547, 1489, 3742, 1565, 689, 519, 30911, 543, 18143, 7070, 3194, 7027, 563, 5575, 6181, 334, 13477, 568, 585, 1762, 1004, 9907, 476, 280, 547, 1626, 1296, 267, 2324, 538, 6887, 609, 513, 5885, 2937, 16455, 563, 12218, 3336, 2238, 543, 2200, 585, 1053, 9907, 476, 1556, 268, 866, 1296, 609, 4670, 24056, 267, 2228, 3756, 543, 17118, 563, 296, 4953, 3091, 513, 2039, 540, 1863, 6281, 6437, 1489, 19297, 267, 1644, 547, 1585, 3344, 540, 5201, 543, 1379, 563, 763, 5980, 585, 4937, 31814, 3132, 513, 2039, 540, 2200, 585, 3450, 8762, 5735, 585, 1053, 9907, 476, 278, 268, 866, 563, 4322, 6268, 2645, 2285, 1053, 630, 3042, 476, 278, 268, 866, 264, 606, 4316, 547, 20272, 741, 2472, 267, 6272, 610, 4540, 2472, 563, 29613, 553, 585, 1507, 1919, 10453, 666, 798, 547, 1118, 513, 3017, 547, 741, 2518, 2146, 543, 1604, 563, 20806, 3188, 707, 1053, 547, 1491, 593, 513, 1483, 3734, 1966, 7133, 1004, 538, 18310, 563, 288, 3126, 540, 1614, 7044, 267, 2029, 5126, 568, 827, 4180, 3025, 814, 1569, 547, 2029, 602, 568, 1898, 585, 1272, 563, 26524, 1472, 2029, 543, 519, 1318, 547, 1569, 621, 616, 8268, 538, 891, 2200, 585, 1053, 9907, 476, 280, 268, 866, 563, 4322, 2592, 616, 4998, 585, 18398, 4901, 538, 2257, 3584, 585, 1053, 540, 782, 6502, 543, 585, 2875, 1788, 960, 563, 10743, 616, 13934, 547, 1374, 543, 1118, 513, 2842, 13324, 3684, 602, 666, 12740, 513, 22051, 7484, 1055, 519, 6989, 269, 0, 8070, 3620, 541, 4034, 9271, 2443, 799, 666, 2039, 1063, 476, 1015, 268, 736, 260, 538, 2101, 24799, 2443, 2014, 711, 1152, 519, 2530, 540, 2804, 1871, 540, 519, 1426, 3812, 267, 855, 849, 519, 3653, 540, 17077, 2200, 971, 607, 4074, 267, 2244, 267, 543, 1216, 267, 607, 1134, 607, 1875, 3146, 2908, 762, 2200, 971, 607, 13226, 543, 1648, 563, 2108, 11947, 2022, 9618, 4034, 9271, 17538, 4389, 10286, 6556, 267, 855, 609, 519, 1482, 2698, 8511, 3154, 12998, 2223, 3081, 15887, 2946, 23968, 11535, 267, 513, 595, 8379, 27798, 22003, 21091, 16869, 2324, 693, 519, 4139, 8575, 1125, 543, 5453, 520, 26094, 4741, 630, 5746, 12613, 312, 307, 1040, 968, 305, 14445, 532, 891, 9271, 6971, 519, 6556, 27214, 4705, 2518, 8337, 1761, 2443, 2698, 8511, 3154, 12998, 829, 11304, 540, 10286, 2443, 543, 8309, 547, 2916, 1689, 17846, 267, 607, 1134, 607, 1426, 3354, 3034, 288, 1713, 8167, 540, 891, 9271, 616, 3361, 676, 3735, 7556, 1813, 547, 4074, 22520, 267, 609, 7031, 1658, 5109, 538, 519, 2361, 1354, 6705, 666, 23074, 873, 269, 9540, 543, 5420, 13355, 12227, 949, 3100, 899, 519, 2626, 267, 855, 1082, 835, 610, 1079, 268, 1314, 324, 6191, 616, 1419, 8572, 547, 3914, 519, 6418, 6810, 540, 7573, 543, 10568, 4610, 1317, 540, 3908, 4155, 1569, 267, 610, 519, 1249, 602, 789, 616, 3274, 1932, 5230, 547, 4163, 563, 2108, 2026, 2964, 1242, 2244, 7041, 1568, 856, 2072, 267, 6418, 4610, 1205, 4712, 585, 7556, 1101, 267, 855, 1510, 1022, 1972, 730, 2930, 3070, 2223, 646, 6941, 563, 27745, 5179, 1242, 1085, 12682, 1127, 581, 519, 2626, 286, 23968, 11535, 14659, 865, 563, 763, 824, 1085, 344, 1492, 454, 300, 19318, 1242, 1085, 12682, 1127, 616, 1688, 268, 6016, 730, 2645, 1031, 585, 544, 12976, 6371, 610, 556, 12686, 7031, 269, 9282, 7361, 8719, 676, 7504, 1673, 22148, 543, 8778, 528, 2173, 870, 539, 28352, 267, 789, 616, 1869, 4122, 1031, 538, 930, 2127, 540, 5607, 543, 2342, 563, 9556, 1564, 4481, 9862, 585, 16276, 7573, 543, 10568, 723, 1044, 20749, 2139, 538, 4000, 585, 936, 1079, 5756, 543, 4867, 6133, 585, 1269, 5611, 268, 12573, 267, 9306, 519, 9803, 3355, 5092, 1942, 540, 782, 2599, 12454, 3435, 593, 519, 2344, 269, 634, 5179, 1085, 344, 1492, 849, 19646, 519, 9803, 7556, 1942, 829, 20267, 732, 543, 568, 15409, 2614, 547, 3914, 6418, 4610, 563, 8601, 922, 3448, 26622, 267, 19718, 538, 1454, 540, 4639, 4000, 814, 1044, 3500, 267, 607, 1082, 6705, 723, 1336, 519, 476, 1015, 11899, 12227, 1932, 5230, 585, 13455, 946, 563, 2108, 22137, 5645, 856, 538, 5484, 514, 267, 8738, 330, 2088, 674, 553, 334, 267, 595, 1774, 546, 685, 296, 17383, 790, 543, 5689, 328, 1397, 602, 713, 4028, 9854, 568, 3361, 676, 11234, 7829, 540, 519, 12227, 267, 1519, 30096, 14302, 2223, 23968, 11535, 6941, 269, 968, 1607, 568, 3274, 1317, 1034, 12427, 723, 2760, 17298, 4013, 2866, 585, 5665, 519, 1907, 3034, 1103, 513, 19915, 547, 2232, 713, 4161, 267, 23968, 11535, 814, 1044, 23712, 609, 11875, 328, 2714, 667, 1601, 537, 267, 6428, 328, 2311, 18553, 715, 323, 785, 1263, 543, 21321, 560, 2098, 2089, 601, 2443, 782, 3744, 693, 4000, 305, 823, 2443, 547, 1374, 543, 1449, 1761, 3435, 269, 4256, 11556, 585, 519, 1646, 540, 513, 6796, 3038, 3187, 28610, 630, 9915, 295, 264, 2203, 814, 1044, 2110, 4289, 539, 585, 519, 16743, 7420, 8366, 689, 513, 717, 22003, 270, 13696, 313, 23418, 9285, 2508, 585, 10124, 538, 519, 989, 686, 32103, 5823, 563, 29493, 585, 3028, 454, 763, 1935, 6212, 8185, 593, 4390, 1646, 267, 609, 606, 3355, 13540, 1895, 540, 30157, 2921, 519, 1291, 593, 2238, 971, 607, 16461, 1746, 543, 24931, 3028, 7426, 267, 3246, 2866, 593, 16276, 543, 26986, 3107, 267, 5885, 1310, 338, 2297, 2533, 971, 607, 3684, 5826, 543, 7816, 267, 543, 4543, 547, 3313, 519, 19993, 7556, 942, 563, 15152, 519, 6069, 2203, 267, 1142, 26519, 786, 581, 3743, 585, 513, 1895, 540, 1472, 476, 2004, 3028, 7426, 267, 945, 786, 4309, 5583, 593, 1620, 741, 1909, 267, 8804, 267, 2870, 513, 3060, 540, 7817, 6705, 267, 3684, 5826, 543, 946, 563, 1103, 1840, 547, 519, 2883, 12587, 543, 1310, 338, 2297, 2533, 267, 519, 2866, 3255, 786, 1118, 713, 2029, 3015, 547, 1762, 11639, 538, 6917, 2127, 269, 2423, 940, 909, 547, 1269, 1240, 513, 1554, 585, 16276, 543, 649, 5338, 2533, 267, 1346, 1210, 519, 1907, 666, 2503, 547, 1294, 513, 2132, 593, 741, 3355, 5092, 538, 835, 547, 1079, 3275, 563, 2108, 21930, 1004, 616, 519, 1292, 17053, 7218, 585, 713, 11036, 2223, 3081, 23968, 11535, 269, 968, 4415, 519, 5179, 1085, 344, 1492, 543, 1644, 2866, 267, 789, 666, 1376, 15980, 3978, 2724, 1848, 1261, 17613, 267, 2705, 267, 602, 782, 6705, 1107, 7488, 540, 2085, 610, 4008, 1107, 786, 581, 2111, 547, 4324, 689, 519, 2816, 5137, 3255, 713, 11036, 2488, 563, 763, 11036, 814, 1044, 2110, 4289, 539, 585, 519, 717, 22003, 16581, 16743, 8750, 779, 16743, 7420, 476, 1708, 271, 267, 6462, 676, 22720, 313, 269, 1403, 5697, 267, 7616, 689, 519, 5787, 1807, 1982, 1131, 1489, 4152, 267, 519, 5610, 540, 15870, 8596, 883, 519, 2645, 267, 5137, 540, 513, 3760, 585, 4871, 3354, 543, 12539, 15894, 15980, 267, 824, 2930, 2238, 269, 0, 10932, 9137, 1923, 7046, 7457, 454, 2304, 8838, 2711, 23840, 593, 674, 303, 16598, 540, 513, 14929, 7615, 22532, 8416, 454, 763, 1997, 894, 14929, 7615, 3965, 568, 513, 1106, 540, 20443, 14464, 22532, 8416, 630, 3198, 301, 264, 602, 666, 581, 1031, 538, 3156, 971, 607, 4806, 6284, 267, 6846, 8851, 267, 1344, 23023, 267, 543, 2036, 13541, 658, 11938, 2042, 269, 901, 1957, 6799, 519, 6388, 540, 519, 14929, 7615, 22532, 8416, 630, 295, 13585, 264, 6252, 6189, 593, 513, 22804, 4456, 2861, 674, 303, 16598, 269, 634, 1292, 5413, 540, 519, 6069, 6388, 568, 922, 1164, 2773, 543, 1942, 7145, 281, 621, 3340, 3818, 4124, 543, 23937, 267, 6466, 1034, 1866, 2154, 3818, 4124, 543, 23937, 563, 25369, 22532, 17978, 630, 3198, 301, 779, 264, 723, 1831, 513, 1641, 540, 1360, 6422, 543, 3573, 1382, 1496, 272, 1700, 275, 4940, 2290, 1271, 3815, 568, 519, 3356, 538, 966, 299, 10485, 2029, 267, 799, 2306, 4443, 519, 6388, 543, 4152, 540, 4888, 28213, 538, 2081, 711, 2139, 538, 519, 2250, 269, 11569, 267, 519, 6454, 540, 966, 299, 10485, 2029, 2306, 15164, 519, 6388, 540, 2527, 1947, 6252, 1949, 609, 5215, 540, 21932, 269, 6271, 1271, 3815, 568, 519, 759, 584, 3101, 540, 4888, 28213, 607, 513, 3532, 17565, 585, 1950, 8760, 543, 4806, 6284, 3156, 563, 2467, 616, 1082, 12326, 538, 519, 3332, 7282, 519, 6388, 540, 14929, 7615, 22532, 8416, 630, 295, 13585, 264, 538, 674, 22333, 2026, 630, 293, 1752, 5358, 30154, 27176, 1488, 7590, 1040, 769, 476, 606, 6388, 540, 670, 13585, 593, 2473, 559, 514, 343, 5164, 23753, 292, 568, 1031, 585, 3625, 959, 15635, 566, 8193, 585, 3239, 23218, 8721, 13496, 269, 13129, 476, 6257, 606, 6388, 540, 670, 13585, 593, 674, 303, 16598, 630, 309, 597, 23753, 268, 275, 299, 311, 8182, 264, 585, 519, 8446, 540, 1623, 5471, 29182, 11295, 5027, 18305, 538, 24488, 4578, 267, 799, 814, 1732, 2773, 982, 519, 1482, 6620, 8045, 538, 595, 10030, 593, 513, 22126, 2473, 18605, 18218, 269, 769, 1776, 960, 476, 568, 6594, 519, 6388, 540, 606, 1997, 894, 3965, 8849, 3060, 630, 4456, 13585, 264, 1210, 11028, 14808, 9092, 8800, 3457, 971, 607, 674, 303, 16598, 543, 922, 3156, 538, 3239, 4806, 6284, 1949, 269, 769, 4704, 2073, 519, 4589, 946, 513, 9168, 4341, 2866, 630, 13678, 6714, 748, 32677, 566, 1565, 4341, 264, 585, 670, 13585, 543, 1397, 324, 922, 6388, 538, 606, 674, 303, 16598, 563, 763, 2596, 1997, 894, 3965, 17565, 666, 581, 3989, 607, 519, 4859, 540, 513, 1305, 540, 3270, 538, 971, 513, 1259, 602, 952, 513, 1007, 4806, 568, 4843, 267, 519, 3210, 568, 513, 4806, 1851, 519, 6740, 3270, 799, 5702, 20998, 1547, 901, 10522, 602, 621, 568, 2009, 547, 11291, 519, 2347, 4806, 1256, 952, 1152, 851, 540, 621, 568, 2139, 269, 901, 3532, 1523, 666, 581, 8246, 538, 1082, 3156, 971, 607, 4806, 6284, 267, 3239, 16646, 689, 513, 9864, 3239, 267, 6846, 8851, 267, 543, 1344, 23023, 269, 634, 14929, 7615, 22532, 8416, 267, 513, 1360, 4277, 2203, 540, 4888, 28213, 799, 729, 4362, 676, 14929, 7615, 538, 519, 476, 3199, 779, 2073, 666, 581, 1031, 607, 606, 1997, 894, 3965, 543, 607, 513, 24626, 540, 2036, 13541, 658, 11938, 2042, 563, 295, 13585, 5161, 10416, 540, 513, 1297, 267, 2356, 1804, 267, 540, 2241, 4393, 4559, 630, 928, 584, 976, 264, 609, 1507, 2199, 3965, 829, 22813, 269, 1452, 11409, 616, 10562, 3842, 519, 865, 10777, 5348, 22663, 269, 4935, 267, 3810, 6252, 7384, 1949, 609, 2241, 4393, 2609, 543, 1448, 3562, 15304, 2792, 616, 6093, 3077, 25121, 585, 7561, 7598, 4888, 28213, 563, 15703, 11837, 14565, 723, 1044, 4080, 547, 2936, 8849, 3060, 6620, 593, 6252, 25121, 269, 6201, 666, 581, 1336, 538, 1496, 278, 1700, 1704, 4940, 769, 713, 1957, 267, 606, 6388, 540, 670, 13585, 883, 606, 22804, 4456, 2861, 674, 303, 16598, 568, 3254, 563, 1103, 8791, 476, 273, 267, 519, 7811, 3344, 1644, 547, 519, 6594, 670, 13585, 616, 4843, 269, 8791, 476, 274, 6257, 519, 6388, 540, 519, 670, 13585, 2687, 547, 938, 1935, 269, 8791, 476, 275, 2982, 519, 2164, 540, 519, 13502, 5340, 1210, 519, 7844, 8245, 29896, 1907, 269, 769, 8791, 476, 276, 938, 6388, 568, 3379, 609, 3105, 960, 269, 634, 8753, 543, 9709, 2104, 29622, 616, 5941, 538, 8791, 476, 277, 563, 273, 269, 13517, 540, 519, 1160, 12723, 23990, 454, 295, 641, 7615, 22532, 17978, 616, 20443, 5841, 8849, 5121, 269, 769, 713, 1826, 540, 4888, 301, 267, 519, 4393, 2609, 616, 519, 11409, 543, 1169, 3977, 540, 1142, 22813, 568, 4448, 547, 519, 3403, 540, 782, 824, 11409, 3842, 5348, 25443, 12035, 269, 2353, 12035, 616, 7229, 1210, 519, 1261, 6277, 1014, 4341, 3989, 607, 5205, 281, 1141, 2073, 543, 6902, 568, 1297, 540, 11353, 538, 4806, 543, 568, 1297, 540, 3270, 1305, 563, 2414, 1683, 606, 3608, 1374, 267, 609, 1447, 8800, 543, 1454, 5488, 982, 4540, 1533, 6361, 7308, 19603, 6272, 267, 649, 8263, 602, 519, 3403, 3270, 267, 968, 5608, 616, 9352, 2338, 269, 3973, 649, 4019, 476, 273, 547, 2097, 909, 609, 1007, 3403, 3270, 267, 543, 649, 3136, 519, 23200, 2394, 519, 1007, 3403, 3270, 616, 4010, 3160, 547, 519, 2025, 3283, 901, 3830, 23083, 519, 1739, 19106, 3268, 799, 616, 5340, 585, 4586, 3721, 476, 272, 269, 20518, 1393, 547, 782, 2609, 540, 6241, 538, 519, 2597, 5119, 4586, 3721, 476, 273, 269, 25092, 543, 4586, 3721, 476, 274, 269, 5681, 519, 1267 ]

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

[ 1775, 666, 1205, 1344, 563, 22897, 786, 2154, 1480, 4199, 4648, 547, 3247, 3206, 538, 2474, 540, 3275, 543, 1296, 543, 1376, 3206, 538, 2474, 540, 4374, 543, 2395, 713, 786, 2154, 1480, 4199, 9946, 547, 1689, 741, 8186, 1115, 689, 1373, 513, 7580, 7649, 1369, 606, 3919, 547, 1373, 513, 1689, 8665, 269, 1284, 2661, 8015, 519, 6574, 1689, 538, 519, 1686, 540, 2923, 1826, 8228, 2046, 930, 476, 31816, 1296, 3516, 1185, 7096, 2360, 2390, 10340, 3082, 547, 519, 1547, 4595, 519, 8798, 540, 519, 8228, 2046, 267, 18376, 2780, 1759, 8228, 267, 3092, 1287, 811, 1004, 811, 1419, 723, 1569, 547, 811, 1344, 811, 1419, 543, 538, 811, 4025, 982, 476, 2004, 1296, 3516, 1577, 4805, 476, 1911, 1296, 3516, 972, 616, 1082, 2242, 538, 519, 1820, 2029, 269, 0, 2304, 7969, 562, 684, 3957, 590, 3563, 27015, 24297, 2961, 4802, 328, 729, 13006, 547, 723, 6822, 340, 1027, 1082, 540, 1200, 19946, 950, 22234, 676, 513, 23942, 6891, 3957, 834, 306, 680, 754, 527, 10314, 21968, 547, 1439, 1200, 3347, 609, 824, 2021, 267, 1352, 729, 5116, 538, 22072, 30693, 585, 519, 2063, 476, 2412, 1296, 540, 1200, 1272, 269, 16262, 517, 13264, 1055, 741, 2078, 519, 1482, 3923, 16299, 8657, 9411, 1582, 21553, 12723, 15400, 694, 2424, 269, 1809, 577, 543, 3185, 1889, 12331, 540, 23462, 941, 865, 7533, 1369, 24139, 13063, 602, 2021, 945, 15189, 547, 3442, 1063, 519, 1079, 1131, 581, 16053, 267, 610, 693, 2547, 8572, 547, 4266, 4896, 267, 543, 855, 577, 2021, 4742, 6535, 656, 1227, 3238, 609, 824, 855, 577, 2021, 610, 3185, 6996, 609, 824, 3185, 6996, 729, 30849, 269, 1879, 26235, 729, 522, 755, 539, 607, 519, 15596, 781, 5172, 267, 1352, 1625, 19959, 569, 3262, 31482, 540, 519, 15596, 2348, 12602, 609, 1200, 5127, 577, 600, 828, 342, 1580, 269, 29485, 27209, 1762, 2021, 689, 834, 629, 7538, 257, 17052, 543, 29739, 8788, 1223, 1152, 581, 25189, 609, 513, 812, 269, 5675, 547, 1776, 4807, 676, 7247, 1352, 1185, 5063, 5433, 20729, 539, 267, 654, 3326, 7723, 8154, 10294, 267, 834, 763, 24712, 786, 16036, 950, 972, 781, 4708, 538, 519, 6089, 267, 543, 519, 19175, 540, 2713, 609, 1250, 674, 15967, 1350, 5417, 839, 1250, 2295, 281, 645, 1047, 23595, 2968, 669, 545, 267, 3226, 538, 3013, 781, 1101, 14447, 16973, 269, 2060, 519, 1134, 1790, 3016, 1242, 10206, 602, 4638, 6411, 941, 513, 851, 540, 24139, 1143, 543, 741, 3347, 267, 4638, 17634, 729, 7839, 563, 13436, 1806, 941, 22876, 3293, 540, 6869, 25978, 6931, 1188, 538, 2398, 17892, 538, 2073, 13401, 538, 6902, 18230, 14732, 9835, 329, 6756, 9310, 543, 882, 11343, 609, 1200, 7385, 547, 10370, 976, 267, 855, 729, 6534, 676, 513, 4807, 609, 7247, 1352, 1185, 1185, 513, 3105, 26035, 543, 30992, 547, 942, 538, 519, 13632, 543, 7890, 269, 898, 729, 5497, 547, 1683, 2021, 609, 1702, 827, 32270, 1765, 14588, 32496, 11341, 547, 2021, 267, 543, 4583, 8350, 321, 2103, 538, 1686, 269, 9521, 3157, 547, 5496, 856, 5256, 28305, 338, 267, 799, 1185, 1044, 538, 1747, 2094, 519, 5137, 540, 519, 1977, 4108, 267, 972, 941, 1100, 2409, 547, 2697, 610, 5496, 585, 8350, 321, 2103, 282, 789, 941, 2322, 883, 1747, 7930, 1282, 2622, 2782, 4083, 269, 2037, 26584, 10564, 14667, 16299, 8657, 5206, 936, 5022, 543, 9954, 547, 19626, 31408, 267, 945, 2663, 2968, 1200, 11078, 2987, 25237, 267, 543, 7722, 538, 1776, 11509, 19359, 609, 25562, 8845, 16262, 517, 269, 21058, 32270, 814, 711, 4607, 519, 1482, 2942, 3210, 689, 3909, 610, 7803, 8128, 607, 5256, 32270, 610, 13277, 6670, 814, 2429, 1686, 269, 1879, 6236, 2250, 3347, 1369, 3617, 8978, 2796, 267, 972, 941, 2053, 950, 2648, 543, 3023, 941, 5094, 543, 20775, 18765, 269, 3778, 540, 24139, 1143, 634, 9867, 10096, 540, 24139, 2094, 519, 2038, 476, 736, 628, 2540, 723, 19430, 930, 12206, 547, 30603, 8978, 3347, 1063, 2021, 1354, 519, 2647, 6165, 540, 519, 2262, 729, 3989, 676, 2144, 5328, 605, 743, 8481, 269, 24641, 7091, 3912, 1063, 2367, 267, 2367, 543, 2021, 267, 543, 2367, 543, 2831, 729, 19439, 762, 676, 2669, 538, 6628, 267, 8622, 8540, 540, 4638, 3346, 1063, 2021, 729, 9039, 343, 11962, 538, 2564, 543, 3656, 5931, 269, 2701, 5059, 593, 519, 5898, 540, 2021, 543, 29064, 1200, 2648, 585, 6690, 269, 11657, 566, 540, 891, 3347, 568, 2009, 676, 513, 1804, 4320, 540, 5022, 2854, 1063, 2021, 269, 1809, 577, 543, 3185, 1889, 1306, 513, 8086, 540, 6688, 540, 14920, 865, 25921, 3989, 676, 519, 2229, 543, 2486, 693, 1804, 267, 24139, 23658, 11857, 2919, 5393, 14461, 4008, 5107, 1063, 2021, 267, 3226, 1851, 519, 2324, 1362, 538, 519, 772, 269, 1452, 2021, 941, 13042, 609, 513, 3109, 6906, 269, 5675, 547, 1776, 4807, 676, 7247, 1352, 1185, 5063, 5433, 20729, 539, 267, 654, 3326, 7723, 8154, 10294, 267, 834, 763, 24712, 786, 16036, 950, 972, 781, 4708, 538, 519, 6089, 267, 543, 519, 19175, 540, 2713, 609, 1250, 674, 15967, 1350, 5417, 839, 1250, 2295, 281, 645, 1047, 23595, 2968, 669, 545, 267, 3226, 538, 3013, 781, 1101, 14447, 16973, 269, 1306, 513, 1267, 267, 17870, 5708, 5280, 547, 17297, 4733, 513, 24139, 3961, 8195, 547, 8350, 321, 2103, 543, 10636, 18400, 3988, 269, 5502, 540, 834, 956, 15487, 2580, 2474, 971, 607, 834, 1598, 1052, 2580, 834, 13512, 559, 697, 2580, 834, 4302, 518, 2580, 543, 834, 628, 2273, 3023, 2580, 941, 1031, 538, 519, 10643, 267, 543, 3382, 1148, 729, 23223, 2406, 2892, 20160, 269, 6468, 941, 849, 7608, 883, 519, 4108, 538, 519, 772, 269, 634, 11298, 289, 3459, 13629, 513, 12139, 11331, 634, 700, 9554, 538, 6902, 3330, 519, 4395, 3382, 540, 1169, 3390, 729, 741, 5692, 3948, 267, 519, 1101, 540, 799, 7150, 729, 834, 19733, 540, 519, 14583, 2668, 645, 27553, 267, 945, 849, 12349, 24139, 17870, 5708, 267, 2663, 7150, 602, 2021, 4857, 519, 1570, 12835, 1227, 676, 519, 3382, 1148, 269, 10783, 344, 2395, 262, 4050, 766, 729, 18796, 540, 562, 12584, 945, 834, 549, 1372, 257, 1142, 824, 610, 941, 4362, 547, 723, 20109, 1142, 824, 781, 28244, 269, 634, 12614, 540, 2622, 2782, 4083, 3361, 513, 7372, 30331, 10052, 538, 1004, 781, 2729, 607, 4108, 4254, 16478, 7722, 6634, 540, 2367, 269, 1717, 267, 29828, 731, 4797, 547, 2328, 827, 590, 2284, 323, 1279, 1310, 1200, 2669, 267, 970, 565, 1782, 590, 2284, 323, 781, 5898, 543, 741, 15754, 543, 11505, 269, 769, 930, 2665, 267, 621, 729, 711, 17019, 547, 2291, 269, 6869, 25978, 6931, 1188, 543, 824, 2021, 945, 941, 15034, 540, 1210, 546, 843, 657, 267, 971, 607, 1079, 562, 12584, 538, 476, 1626, 628, 2540, 8050, 13401, 585, 1210, 834, 332, 1468, 7405, 2580, 941, 27052, 811, 16094, 982, 1346, 945, 1705, 711, 269, 13067, 26557, 729, 10363, 538, 5125, 267, 1498, 3006, 7109, 730, 267, 607, 930, 3252, 941, 4847, 676, 519, 7128, 945, 3576, 519, 4316, 547, 11578, 519, 4408, 540, 28305, 338, 585, 2104, 4704, 269, 11374, 2622, 2782, 4083, 267, 513, 18487, 3350, 20399, 547, 2132, 547, 840, 21351, 2486, 607, 3533, 607, 2009, 538, 519, 772, 563, 21581, 827, 8350, 321, 2103, 2348, 3023, 538, 7890, 912, 299, 525, 15487, 538, 21569, 2483, 3719, 577, 543, 979, 6753, 540, 22371, 941, 8350, 321, 2103, 2348, 3023, 538, 7890, 7533, 1369, 8350, 321, 2103, 2348, 3023, 538, 7890, 561, 12028, 321, 2103, 602, 2021, 945, 7133, 547, 3442, 1063, 519, 1079, 1131, 581, 13087, 267, 610, 693, 2547, 23904, 547, 13930, 4896, 267, 543, 979, 2021, 4742, 14311, 3238, 609, 824, 10071, 19707, 610, 3185, 6996, 609, 824, 1347, 916, 729, 3348, 13895, 269, 634, 3303, 1243, 781, 9029, 14296, 1472, 1520, 23583, 267, 513, 635, 8565, 945, 14439, 9887, 2073, 525, 321, 2103, 606, 1863, 1310, 1554, 26689, 742, 339, 7232, 6883, 781, 5369, 13771, 807, 20351, 529, 663, 6763, 1369, 519, 19448, 26327, 8350, 756, 753, 540, 6657, 269, 769, 519, 8426, 983, 2276, 267, 519, 521, 729, 513, 3896, 540, 13964, 344, 1665, 267, 25473, 609, 3023, 269, 19537, 1233, 10564, 14667, 16299, 8657, 1769, 2989, 936, 8350, 321, 714, 985, 543, 7005, 547, 19626, 31408, 267, 945, 646, 2968, 1200, 11078, 2987, 25237, 267, 543, 1169, 538, 1776, 964, 25544, 19359, 609, 2904, 8845, 16262, 517, 269, 26240, 321, 2103, 28941, 12197, 532, 5206, 513, 6580, 11331, 634, 21058, 21673, 967, 5271, 6838, 593, 519, 791, 24411, 540, 24981, 16803, 15367, 729, 9277, 1310, 2922, 15209, 513, 4807, 1247, 4277, 607, 513, 812, 267, 543, 8350, 321, 2103, 2348, 3023, 538, 7890, 2016, 547, 1857, 1377, 543, 3670, 1296, 538, 21569, 269, 2701, 4847, 593, 519, 5898, 540, 2025, 543, 7318, 1200, 2648, 585, 967, 2103, 269, 966, 5435, 7902, 538, 16542, 3332, 2614, 547, 581, 5827, 1455, 1702, 267, 4352, 18683, 941, 4686, 269, 634, 31045, 10688, 267, 8653, 267, 543, 7115, 540, 1082, 1919, 1282, 543, 1310, 519, 2112, 1500, 621, 11807, 585, 13622, 5725, 547, 18188, 1510, 8152, 27512, 267, 1945, 602, 1131, 711, 723, 1044, 3768, 1815, 3660, 896, 2298, 4105, 543, 1514, 2923, 267, 2417, 1268, 824, 5121, 543, 5054, 269, 9406, 540, 834, 956, 15487, 2580, 5561, 971, 607, 834, 1598, 1052, 2580, 834, 13449, 2580, 834, 4302, 518, 2580, 543, 834, 628, 2273, 3023, 2580, 941, 4080, 538, 519, 536, 7431, 267, 543, 22902, 1148, 729, 2250, 642, 14489, 269, 20167, 1078, 3959, 3214, 602, 2367, 9763, 9886, 561, 817, 609, 1387, 29847, 269, 0, 289, 690, 11511, 788, 619, 616, 513, 2249, 540, 14686, 9006, 10535, 15315, 269, 1358, 616, 1572, 32181, 11511, 788, 619, 1317, 741, 2067, 7226, 568, 538, 536, 9233, 543, 2220, 10102, 269, 1358, 616, 2965, 16220, 9168, 15315, 5950, 883, 519, 3552, 676, 513, 14834, 10196, 563, 289, 690, 11511, 788, 619, 3548, 5631, 20883, 267, 16015, 267, 543, 1585, 7786, 563, 300, 908, 31171, 5475, 20282, 267, 519, 4775, 32181, 595, 872, 704, 786, 2482, 1200, 5798, 593, 513, 5757, 23810, 610, 513, 14927, 4062, 540, 2244, 269, 32181, 595, 872, 704, 5798, 616, 2356, 3043, 543, 723, 3039, 9634, 593, 873, 269, 634, 4816, 32181, 11511, 788, 619, 723, 811, 13671, 29086, 982, 519, 4079, 267, 1818, 873, 811, 5906, 563, 289, 690, 11511, 788, 619, 616, 1100, 8723, 15315, 267, 789, 4865, 8966, 5759, 269, 634, 10196, 945, 16220, 9168, 873, 5795, 873, 891, 5759, 912, 268, 8838, 545, 1025, 6814, 454, 268, 9605, 22165, 327, 454, 268, 8111, 17726, 0, 296, 13696, 3173, 723, 1500, 513, 4625, 1007, 4480, 540, 10991, 1565, 2702, 1759, 593, 3157, 8246, 547, 6460, 1257, 689, 476, 272, 1913, 547, 513, 1114, 269, 2311, 519, 1482, 942, 267, 519, 10872, 5418, 9778, 8444, 540, 6464, 899, 1913, 543, 6878, 607, 5094, 2453, 267, 1927, 609, 519, 12343, 540, 922, 798, 519, 8945, 12582, 1406, 581, 519, 8144, 4352, 519, 8207, 689, 519, 3803, 18454, 609, 519, 1034, 1950, 5214, 543, 2067, 6219, 13027, 6547, 267, 799, 538, 922, 6581, 826, 1223, 538, 1249, 581, 8246, 547, 2656, 523, 519, 1646, 540, 1007, 11955, 267, 676, 1259, 540, 1383, 269, 7021, 519, 2250, 476, 2004, 5756, 267, 4966, 1655, 22967, 275, 340, 454, 17647, 10599, 1194, 547, 16455, 519, 5904, 642, 572, 564, 26050, 519, 968, 329, 984, 892, 540, 7623, 14759, 547, 3132, 4096, 762, 16322, 2886, 689, 519, 2360, 540, 5214, 543, 2067, 6219, 2427, 2360, 269, 16480, 267, 5214, 543, 2067, 5820, 949, 1360, 1134, 581, 865, 14969, 602, 519, 3114, 3601, 543, 7180, 998, 6114, 28173, 796, 23100, 2406, 8101, 12985, 1797, 267, 6382, 519, 3803, 2164, 616, 5634, 28946, 2225, 547, 1118, 1978, 602, 789, 616, 2111, 547, 581, 22973, 513, 4627, 4939, 563, 1692, 1677, 3503, 3194, 14430, 454, 3383, 519, 3744, 1369, 519, 22126, 5530, 1507, 1870, 538, 2098, 584, 747, 17251, 547, 1118, 606, 5393, 23349, 979, 269, 14146, 532, 606, 5841, 1702, 2861, 3705, 614, 3301, 267, 789, 9862, 621, 547, 7500, 538, 5214, 7998, 269, 1306, 538, 1082, 824, 8320, 267, 519, 1007, 1982, 12346, 593, 606, 5841, 8849, 2146, 267, 602, 814, 8854, 998, 513, 2259, 540, 1008, 29850, 15904, 593, 606, 6909, 1297, 540, 1134, 8153, 7623, 2427, 2360, 267, 1082, 540, 799, 4755, 547, 581, 3226, 2352, 543, 865, 616, 5340, 538, 476, 1789, 268, 2412, 14938, 1113, 2409, 269, 26023, 267, 22126, 4966, 723 ]

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

[ 513, 1114, 2186, 540, 15114, 607, 1134, 269, 1306, 519, 24347, 548, 6754, 5206, 547, 519, 10271, 538, 3504, 10218, 328, 267, 968, 712, 15114, 568, 538, 13140, 892, 630, 274, 281, 736, 1040, 6754, 1031, 519, 1893, 540, 15114, 3833, 17543, 1934, 585, 513, 7008, 540, 4128, 269, 3689, 267, 646, 6785, 602, 519, 1004, 538, 10218, 328, 1185, 741, 1378, 6216, 540, 12242, 15114, 282, 789, 941, 4961, 540, 519, 2749, 540, 10218, 328, 543, 267, 1317, 540, 741, 2027, 3140, 2078, 609, 7507, 267, 789, 941, 4936, 4961, 607, 1134, 269, 634, 10218, 2103, 941, 10583, 540, 741, 12242, 15114, 269, 1358, 941, 28165, 547, 581, 4936, 4961, 1256, 1498, 789, 5030, 2484, 2476, 689, 519, 11440, 3854, 269, 1358, 5433, 13348, 5328, 11348, 607, 29341, 4961, 540, 7507, 563, 13553, 267, 1498, 6754, 1705, 711, 20912, 519, 10218, 2103, 685, 3618, 569, 18523, 3347, 267, 646, 1705, 1201, 9347, 519, 2470, 540, 741, 15114, 269, 634, 10218, 1014, 10271, 941, 711, 1175, 4961, 540, 10218, 328, 543, 4961, 540, 7507, 269, 1358, 941, 267, 1034, 11932, 267, 4961, 540, 13140, 269, 4256, 3119, 15114, 729, 513, 31676, 835, 269, 1656, 741, 3119, 7083, 729, 711, 519, 4936, 19332, 267, 945, 10645, 519, 2140, 540, 968, 299, 867, 2223, 855, 519, 968, 306, 822, 1640, 267, 519, 7083, 4906, 2441, 892, 630, 274, 281, 736, 1040, 4438, 6754, 779, 1554, 267, 14336, 4800, 547, 2441, 607, 7083, 1500, 835, 513, 1514, 856, 4751, 269, 589, 1906, 5756, 2663, 621, 1131, 1118, 835, 513, 12004, 10455, 269, 4762, 31757, 2441, 607, 7083, 5921, 27102, 602, 19332, 729, 7083, 267, 543, 713, 729, 17709, 540, 11056, 689, 519, 4936, 1448, 540, 2070, 563, 9213, 267, 2436, 649, 616, 4961, 540, 519, 2136, 2276, 267, 4516, 267, 8478, 267, 12907, 267, 610, 596, 2012, 621, 267, 952, 649, 616, 10271, 1287, 649, 616, 4961, 540, 13140, 1101, 543, 19466, 269, 901, 1797, 267, 602, 1498, 649, 5431, 519, 3656, 6392, 540, 938, 4182, 267, 649, 11760, 835, 3020, 19988, 936, 938, 2729, 267, 12077, 267, 519, 7083, 4906, 2441, 269, 3776, 3119, 7029, 568, 547, 713, 7083, 269, 9282, 649, 2463, 519, 2229, 540, 938, 4182, 630, 305, 30689, 476, 1724, 281, 272, 268, 278, 1070, 649, 10505, 4628, 547, 519, 17046, 2229, 540, 938, 7083, 269, 1656, 1498, 649, 8661, 519, 1434, 1919, 827, 519, 2244, 538, 799, 649, 2661, 267, 649, 798, 711, 2648, 938, 2197, 14955, 3431, 269, 6270, 2648, 568, 11603, 585, 938, 7083, 563, 10303, 649, 616, 4961, 540, 13140, 267, 649, 723, 513, 5133, 689, 799, 547, 1871, 938, 4182, 1510, 9991, 883, 14255, 25771, 557, 610, 1256, 31561, 520, 9317, 18541, 269, 1879, 938, 1378, 2197, 1281, 1018, 568, 5812, 609, 2696, 779, 5126, 267, 649, 556, 329, 4069, 543, 2285, 7064, 269, 1879, 938, 2197, 8813, 2110, 540, 2696, 779, 4441, 676, 3850, 21440, 267, 649, 616, 2111, 547, 19039, 513, 4412, 4854, 968, 7224, 892, 543, 547, 960, 585, 519, 13319, 540, 2696, 779, 32660, 563, 2026, 4961, 540, 13140, 267, 649, 1810, 1406, 9011, 720, 938, 3618, 569, 15114, 269, 1809, 649, 3314, 602, 938, 3020, 543, 10700, 14336, 4800, 568, 547, 2696, 543, 1010, 10806, 269, 1284, 21334, 4906, 2441, 607, 7083, 1547, 1547, 1547, 938, 7083, 543, 519, 7083, 936, 782, 563, 1432, 827, 938, 2197, 798, 596, 9684, 2696, 585, 2221, 888, 1432, 827, 938, 2197, 798, 596, 3343, 2696, 779, 948, 888, 1692, 1281, 707, 31676, 15114, 1860, 519, 1259, 596, 1589, 267, 1745, 267, 543, 957, 607, 12504, 540, 606, 3618, 569, 2197, 888, 6826, 2386, 547, 1491, 942, 547, 7281, 585, 707, 2197, 2221, 269, 1403, 596, 616, 513, 12504, 540, 519, 2136, 2276, 267, 9684, 2696, 585, 1018, 568, 1434, 827, 713, 2197, 267, 561, 3512, 1018, 568, 9409, 267, 543, 2307, 585, 2696, 779, 948, 547, 1118, 713, 4182, 811, 1175, 538, 1169, 1259, 563, 24836, 4109, 2696, 267, 2221, 649, 798, 9684, 596, 585, 1018, 568, 1434, 827, 938, 2197, 267, 585, 782, 2081, 649, 607, 513, 4182, 2992, 707, 2418, 543, 14422, 269, 1411, 723, 25552, 721, 998, 713, 2197, 267, 543, 585, 713, 649, 9684, 596, 563, 4263, 519, 1482, 942, 267, 649, 21334, 602, 649, 723, 15468, 2110, 538, 1082, 2081, 269, 21298, 267, 1082, 540, 721, 723, 1831, 811, 3222, 540, 16526, 1644, 547, 1072, 1416, 267, 6009, 267, 4008, 267, 543, 5198, 269, 1284, 1294, 811, 5693, 875, 2484, 649, 723, 2943, 547, 979, 952, 649, 616, 547, 18220, 707, 5126, 543, 23502, 269, 1284, 21334, 938, 5609, 547, 596, 267, 938, 1367, 543, 9746, 5609, 269, 1284, 2307, 585, 707, 19807, 543, 585, 519, 11419, 547, 2490, 538, 9758, 1065, 550, 766, 563, 4002, 713, 1554, 267, 7083, 267, 649, 8661, 543, 649, 561, 3512, 267, 649, 21334, 543, 649, 4126, 267, 649, 1413, 547, 596, 547, 12115, 938, 4182, 267, 865, 602, 649, 1522, 811, 8499, 2992, 707, 10806, 593, 3618, 269, 2659, 10806, 2097, 256, 2659, 786, 581, 2944, 593, 3618, 607, 538, 13140, 269, 2549, 523, 563, 8340, 782, 5020, 585, 24285, 1821, 19600, 1934, 269, 10812, 1018, 519, 6426, 814, 547, 2161, 827, 960, 693, 519, 2189, 3896, 540, 938, 4891, 267, 519, 4400, 11910, 532, 21287, 267, 18799, 676, 519, 28613, 540, 4518, 5741, 269, 14506, 593, 2221, 779, 5020, 585, 24285, 6249, 666, 581, 1336, 1934, 281, 589, 14506, 585, 519, 19549, 540, 5147, 454, 29771, 547, 5020, 585, 24285, 454, 14294, 909, 547, 4309, 513, 5020, 585, 24285, 1821, 10899, 1142, 1554, 538, 707, 28600, 269, 898, 779, 1863, 547, 24049, 543, 596, 666, 5667, 889, 18285, 693, 1022, 942, 563, 7804, 269, 4460, 667, 269, 21662, 568, 513, 18947, 7309, 626, 585, 9509, 518, 779, 7665, 1546, 623, 872, 4741, 585, 15557, 267, 1141, 646, 6212, 593, 519, 5289, 1646, 543, 14762, 540, 3401, 269, 1261, 568, 519, 9030, 5856, 540, 519, 3232, 1821, 10899, 267, 5020, 585, 24285, 267, 543, 519, 13653, 540, 519, 1546, 623, 872, 4741, 779, 4469, 712, 5109, 538, 519, 12059, 12059, 540, 5020, 19541, 269, 2776, 16227, 267, 4460, 729, 519, 15445, 10615, 540, 519, 1546, 623, 872, 4741, 267, 519, 1291, 2250, 528, 540, 513, 5939, 538, 8828, 4993, 267, 543, 519, 18947, 10615, 540, 5487, 640, 700, 17690, 538, 7147, 269, 1261, 814, 2854, 5216, 2835, 267, 19421, 540, 4930, 267, 543, 936, 476, 273, 267, 4335, 1821, 19600, 602, 948, 1004, 3605, 519, 3017, 2696, 2306, 538, 741, 3232, 1272, 543, 5718, 269, 2060, 513, 1912, 6185, 269, 538, 1715, 11620, 689, 12370, 267, 4460, 11414, 693, 9509, 518, 12054, 2435, 267, 1034, 5063, 538, 1010, 667, 8160, 514, 269, 20165, 593, 968, 293, 28216, 267, 4518, 267, 13188, 267, 543, 966, 6327, 1848, 4460, 568, 9310, 547, 27692, 267, 513, 7365, 543, 1920, 24468, 267, 5289, 8689, 267, 543, 10324, 16455, 269, 4256, 1079, 6738, 1453, 616, 7855, 593, 519, 1164, 1153, 543, 2852, 1377, 269, 0, 9213, 713, 568, 711, 513, 1966, 547, 1205, 513, 12380, 1759, 1646, 4604, 2731, 10464, 269, 30722, 13100, 610, 2142, 14410, 24942, 616, 519, 1101, 602, 2097, 547, 2247, 269, 11109, 1346, 593, 707, 11380, 596, 9327, 1406, 1589, 827, 2679, 835, 676, 3054, 269, 28791, 596, 1616, 547, 4161, 3054, 269, 7009, 20891, 2219, 621, 1131, 581, 1187, 547, 1628, 513, 12380, 4604, 609, 645, 16598, 16267, 269, 1284, 782, 917, 602, 4421, 1359, 645, 16598, 693, 1753, 666, 581, 16602, 267, 855, 798, 762, 269, 1924, 646, 779, 6074, 10464, 8121, 300, 16267, 609, 3965, 2359, 1107, 11083, 11011, 306, 4456, 280, 301, 1321, 269, 898, 2501, 538, 476, 24241, 645, 16598, 10189, 609, 476, 271, 269, 275, 7825, 11084, 543, 3845, 1063, 476, 271, 269, 279, 7825, 269, 8921, 547, 621, 646, 3773, 667, 11403, 273, 20433, 799, 849, 2501, 538, 645, 16598, 10189, 563, 5194, 4161, 729, 547, 1265, 20111, 10672, 799, 1131, 1118, 1507, 21181, 543, 642, 5362, 6325, 543, 10464, 269, 13013, 295, 5244, 8604, 547, 581, 1318, 3903, 269, 4495, 12545, 814, 8452, 267, 1985, 1900, 729, 547, 1151, 1457, 13365, 543, 824, 15382, 307, 2694, 269, 1261, 4294, 4421, 1359, 13594, 609, 23296, 15078, 543, 5116, 13365, 269, 1261, 1185, 547, 581, 6297, 1317, 1256, 476, 271, 269, 275, 7825, 5470, 1131, 2014, 4737, 15558, 540, 3440, 5044, 269, 30052, 4421, 1359, 729, 2944, 609, 1201, 869, 14089, 799, 1705, 2816, 7168, 1434, 269, 4033, 3334, 899, 715, 13263, 8755, 543, 1804, 3334, 941, 4421, 1229, 676, 1688, 269, 3973, 646, 8848, 999, 12380, 1062, 799, 1185, 547, 581, 16041, 538, 547, 3965, 543, 9589, 5496, 7902, 269, 901, 568, 5863, 1018, 666, 581, 2944, 609, 1753, 2175, 543, 930, 1702, 2221, 269, 0, 288, 518, 18209, 11653, 19162, 7201, 6229, 729, 20829, 513, 24522, 515, 539, 654, 303, 268, 274, 291, 2107, 542, 20987, 12183, 24887, 2048, 298, 1069, 527, 685, 607, 1010, 2319, 24363, 883, 19996, 27950, 547, 2594, 14368, 1670, 1239, 269, 7201, 6229, 267, 945, 814, 2095, 333, 883, 19421, 540, 24377, 936, 519, 2250, 1906, 1296, 267, 4080, 602, 519, 8184, 729, 519, 13193, 326, 4554, 646, 1185, 2479, 4810, 269, 634, 19996, 814, 4867, 2451, 936, 835, 2929, 1004, 1510, 1379, 538, 519, 1533, 540, 8419, 563, 763, 2817, 7909, 545, 543, 27321, 10029, 630, 17472, 8150, 264, 771, 6312, 3481, 7201, 6229, 543, 1010, 2319, 547, 2594, 1558, 25233, 1239, 7282, 23587, 27950, 269, 634, 30857, 5531, 338, 2565, 4987, 547, 948, 1004, 2066, 3345, 3013, 5965, 585, 891, 31587, 12469, 269, 634, 1239, 6394, 676, 713, 2319, 4682, 547, 948, 14368, 5505, 5173, 519, 7088, 779, 18330, 543, 1761, 2208, 269, 901, 1344, 729, 1031, 547, 948, 1857, 8387, 6430, 593, 27549, 9753, 543, 1018, 17846, 12485, 1058, 581, 8246, 563, 298, 1069, 527, 543, 922, 18913, 12284, 8977, 539, 20279, 11875, 15838, 23076, 630, 9128, 291, 264, 693, 476, 6349, 281, 4649, 11632, 269, 634, 12284, 24363, 22703, 936, 519, 13323, 540, 6792, 547, 519, 12144, 267, 1141, 19996, 27950, 729, 18413, 3653, 547, 519, 2244, 267, 2011, 267, 543, 4262, 269, 2991, 10199, 1079, 3108, 538, 519, 2011, 267, 519, 4250, 1652, 918, 1069, 527, 11579, 3603, 519, 856, 25958, 6316, 540, 519, 19996, 563, 763, 17500, 729, 865, 6505, 621, 1500, 519, 3781, 1413, 899, 1554, 269, 17421, 281, 19162, 7201, 6229, 270, 17472, 8150, 454, 4407, 538, 519, 7088, 267, 7201, 6229, 7307, 547, 1118, 513, 3381, 10916, 540, 519, 32049, 1995, 269, 1261, 3323, 10916, 1247, 789, 941, 2282, 519, 2363, 1168, 718, 267, 835, 540, 519, 1034, 24360, 2694, 540, 513, 19996, 269, 901, 2501, 1175, 1354, 519, 3750, 267, 799, 568, 4583, 585, 1373, 519, 9350, 652, 851, 269, 1261, 4080, 602, 972, 729, 2484, 811, 17500, 982, 646, 1185, 2938, 538, 1022, 19996, 269, 27933, 519, 5230, 31285, 267, 3688, 3330, 519, 19970, 941, 1166, 2426, 538, 782, 8846, 5103, 519, 12284, 779, 1655, 3646, 547, 588, 1905, 3388, 1524, 269, 3245, 20974, 19843, 547, 12284, 2818, 267, 4986, 1223, 9101, 3993, 562, 2137, 535, 1722, 563, 763, 3750, 540, 519, 7088, 454, 763, 20987, 24363, 2786, 883, 519, 7088, 779, 3750, 267, 1141, 621, 4963, 743, 539, 547, 5531, 3606, 4365, 1239, 1354, 621, 8977, 539, 519, 7088, 269, 898, 8120, 547, 31246, 291, 693, 476, 6021, 281, 5655, 11632, 269, 27051, 8370, 3108, 1310, 918, 1069, 527, 1500, 3346, 609, 519, 2220, 26325, 642, 29448, 540, 2842, 543, 4764, 267, 27950, 1500, 2244, 6420, 2282, 10783, 2725, 14636, 267, 8419, 269, 1635, 519, 942, 621, 6603, 519, 733, 27631, 2475, 267, 621, 1185, 6738, 547, 513, 7121, 2185, 19996, 609, 12798, 538, 4430, 540, 476, 5611, 5195, 829, 5662, 563, 763, 30857, 8184, 1212, 9749, 979, 1141, 1906, 14742, 546, 732, 547, 25500, 269, 17421, 281, 22947, 288, 2264, 454, 5475, 1818, 2244, 6420, 267, 519, 19996, 3459, 547, 26632, 622, 607, 621, 18084, 519, 9456, 26026, 13635, 779, 7013, 25345, 269, 1635, 519, 942, 519, 3750, 7024, 547, 519, 9533, 7909, 267, 519, 7088, 568, 10567, 547, 9350, 547, 519, 1448, 621, 786, 1100, 3476, 581, 2808, 513, 19996, 855, 513, 5906, 9341, 7088, 269, 634, 7088, 786, 3136, 547, 1118, 922, 1259, 5087, 2059, 519, 9456, 2475, 8744, 5230, 11811, 543, 1164, 12798, 547, 519, 3148, 563, 8601, 922, 4744 ]

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

[ 16886, 14884, 538, 5333, 543, 3567, 267, 799, 1810, 1406, 991, 971, 1164, 24289, 13475, 563, 2691, 1705, 960, 593, 15101, 273, 1376, 543, 1946, 568, 621, 865, 11786, 888, 9391, 273, 23498, 922, 3803, 19224, 548, 950, 621, 729, 2016, 9576, 2667, 550, 538, 5988, 476, 1001, 278, 267, 22338, 519, 1259, 585, 960, 593, 519, 1101, 5123, 540, 519, 1899, 547, 2253, 563, 763, 1899, 814, 1044, 6216, 539, 513, 834, 19009, 17707, 257, 602, 786, 15237, 998, 519, 3703, 24781, 267, 609, 930, 21427, 6849, 741, 3959, 1373, 24609, 539, 547, 1118, 1259, 563, 6124, 8027, 1609, 919, 3068, 1373, 14324, 1524, 547, 1118, 1259, 585, 519, 1164, 3432, 7841, 543, 606, 7634, 676, 519, 25357, 593, 10732, 10645, 11278, 2641, 332, 11669, 814, 1044, 6170, 9140, 5321, 1100, 3476, 4299, 1813, 547, 2242, 547, 519, 15101, 273, 8905, 267, 6028, 621, 609, 8075, 621, 3085, 1405, 991, 563, 31359, 5411, 4171, 5321, 723, 547, 581, 23542, 1639, 786, 581, 6035, 834, 1260, 1706, 762, 257, 3601, 267, 519, 4972, 585, 13255, 814, 7150, 563, 290, 2086, 5218, 1895, 17547, 15101, 273, 814, 5249, 24091, 547, 28586, 519, 7841, 1899, 267, 543, 3081, 519, 2229, 568, 24937, 922, 1378, 5796, 593, 31362, 519, 1604, 563, 1432, 814, 519, 1007, 6554, 1767, 888, 763, 20271, 894, 6554, 814, 2097, 896, 3595, 585, 546, 2416, 532, 593, 15101, 273, 585, 513, 1279, 942, 563, 289, 528, 529, 9652, 814, 1767, 602, 646, 568, 2469, 547, 2097, 547, 513, 3375, 713, 3018, 543, 2119, 547, 1265, 513, 1259, 547, 1205, 519, 3303, 16226, 6578, 1394, 593, 3950, 543, 814, 1572, 513, 16410, 6839, 5870, 547, 1205, 519, 3375, 1500, 563, 763, 3375, 568, 1373, 1200, 531, 4765, 607, 834, 1492, 1007, 6601, 343, 527, 257, 543, 568, 18445, 1175, 607, 8954, 633, 585, 631, 11679, 267, 945, 2901, 1294, 621, 607, 513, 3653, 540, 2724, 610, 4909, 547, 519, 2104, 540, 6628, 781, 4346, 543, 6679, 909, 519, 3345, 563, 303, 7035, 1227, 267, 621, 568, 513, 3978, 3390, 585, 519, 570, 1559, 267, 945, 13264, 519, 4414, 9931, 1282, 519, 5412, 9550, 593, 519, 9153, 540, 3257, 811, 585, 519, 3345, 563, 7628, 1010, 2196, 585, 7089, 476, 1015, 267, 16907, 529, 9652, 1767, 646, 1131, 711, 16150, 519, 4566, 267, 855, 1705, 2769, 834, 534, 343, 29136, 827, 519, 1870, 2013, 8487, 9558, 1636, 14199, 6182, 1218, 1744, 1952, 338, 9250, 513, 2689, 540, 519, 1788, 538, 476, 1001, 280, 267, 6031, 602, 513, 834, 2998, 610, 1100, 30559, 257, 3375, 1131, 581, 1500, 267, 6031, 621, 729, 834, 22529, 1043, 257, 547, 1294, 2436, 519, 2640, 2731, 834, 23637, 909, 8487, 24248, 712, 9263, 7083, 1520, 517, 529, 267, 513, 5449, 3560, 23122, 945, 5249, 607, 606, 5989, 9666, 518, 547, 634, 25564, 2904, 267, 1767, 519, 2689, 834, 338, 920, 9749, 27257, 1299, 519, 3345, 257, 543, 1131, 1831, 834, 320, 7372, 536, 684, 4339, 267, 1247, 519, 3560, 8257, 8255, 585, 3382, 543, 15101, 273, 13456, 568, 1612, 26087, 539, 676, 967, 1815, 1707, 8487, 299, 2969, 12239, 15101, 273, 21832, 306, 454, 27745, 15101, 273, 1205, 23545, 539, 888, 28269, 10579, 16907, 529, 9652, 814, 2016, 13170, 585, 519, 11278, 11793, 321, 11669, 1164, 18286, 7841, 2000, 1074, 15101, 273, 547, 979, 6619, 563, 3383, 519, 10171, 540, 23545, 566, 814, 1044, 1447, 2989, 563, 3891, 1767, 281, 834, 9213, 519, 16410, 6839, 814, 2016, 1164, 18286, 7841, 519, 3039, 5365, 910, 649, 616, 2469, 547, 1205, 713, 2944, 1701, 0, 303, 1115, 3112, 2697, 2933, 269, 3143, 2339, 519, 7154, 540, 2951, 6074, 267, 621, 568, 2556, 547, 11090, 707, 4620, 609, 1697, 8446, 1354, 16144, 856, 269, 901, 1131, 948, 2327, 707, 4620, 9060, 741, 1259, 1394, 547, 596, 538, 2013, 596, 1205, 9674, 269, 898, 849, 2337, 2061, 10539, 1063, 5411, 538, 2665, 1141, 1079, 10130, 1223, 18613, 1142, 824, 454, 303, 9007, 550, 22384, 585, 519, 8891, 454, 763, 8797, 2161, 602, 596, 666, 2760, 581, 1932, 18762, 269, 769, 1840, 547, 11090, 3101, 707, 4620, 609, 519, 2556, 8446, 16776, 267, 621, 568, 5227, 585, 596, 547, 3514, 873, 609, 513, 811, 8628, 7154, 540, 8446, 267, 971, 607, 513, 2890, 577, 760, 269, 901, 1131, 849, 948, 538, 9477, 540, 707, 4620, 538, 2013, 789, 32603, 1055, 610, 596, 1831, 9674, 563, 307, 1778, 23067, 2755, 1358, 616, 8479, 454, 2005, 568, 1271, 585, 596, 547, 5721, 707, 4620, 1247, 789, 616, 1869, 1762, 1317, 2831, 1491, 930, 942, 547, 4625, 4487, 12981, 543, 4397, 7180, 269, 1411, 1058, 5721, 873, 2611, 9350, 1282, 2951, 267, 543, 7157, 4431, 547, 12981, 269, 589, 8007, 1062, 568, 3810, 5227, 607, 621, 2337, 519, 4245, 4121, 6529, 811, 269, 1403, 596, 723, 811, 982, 835, 4620, 267, 621, 568, 15695, 596, 5721, 873, 14384, 563, 20376, 675, 2659, 8891, 585, 4256, 8881, 454, 5475, 2866, 519, 4620, 267, 1034, 1004, 8263, 621, 568, 2922, 547, 1577, 873, 32603, 1472, 519, 1286, 270, 30350, 1282, 2951, 269, 901, 568, 2705, 4636, 269, 3807, 899, 1004, 267, 10130, 1223, 1205, 13676, 950, 519, 6077, 540, 2951, 17648, 513, 6727, 3350, 610, 538, 519, 2013, 540, 606, 8009, 269, 898, 568, 4061, 5227, 547, 1835, 622, 519, 4620, 547, 1832, 873, 2922, 563, 16521, 513, 2672, 3386, 13488, 595, 3433, 454, 10111, 13205, 1500, 1210, 5958, 616, 513, 1434, 4781, 547, 3560, 707, 4620, 269, 21311, 4620, 19057, 267, 2705, 267, 616, 9053, 585, 741, 17545, 607, 789, 2709, 3106, 585, 1114, 12331, 540, 2951, 563, 303, 1115, 543, 23663, 454, 303, 1115, 971, 607, 5243, 543, 7314, 616, 3728, 543, 26227, 269, 1358, 786, 4061, 6923, 1118, 946, 540, 891, 5759, 950, 741, 3106, 568, 12219, 269, 898, 568, 267, 4061, 267, 1271, 547, 2327, 519, 4620, 7959, 2922, 543, 6899, 2429, 519, 7552, 563, 306, 539, 908, 519, 8891, 454, 303, 1115, 267, 899, 782, 824, 3425, 267, 4043, 547, 1332, 14221, 950, 6534, 538, 606, 14542, 4259, 269, 20767, 908, 873, 1223, 948, 8897, 741, 4160, 543, 4688, 873, 689, 8194, 543, 1256, 10913, 602, 1267, 689, 4250, 563, 10111, 787, 513, 3689, 22707, 8891, 14173, 454, 2171, 666, 2760, 2995, 952, 610, 950, 10913, 949, 4755, 269, 634, 1655, 1259, 547, 4831, 713, 568, 1373, 4712, 1175, 538, 2013, 789, 4755, 269, 8891, 5411, 616, 15695, 547, 4163, 513, 4620, 1101, 268, 4660, 6539, 602, 2882, 6512, 1137, 267, 12238, 2763, 267, 543, 7250, 25681, 1175, 538, 2013, 1802, 1424, 12154, 527, 568, 2556, 269, 1411, 1058, 849, 2141, 1246, 3268, 2016, 676, 606, 3662, 1072, 1416, 11285, 1101, 1354, 13948, 8156, 707, 4620, 689, 16143, 4598, 547, 13802, 563, 10111, 787, 8891, 5253, 543, 4826, 454, 308, 10811, 4624, 2621, 971, 607, 5721, 17799, 616, 17149, 269, 1924, 1282, 2951, 7041, 267, 621, 568, 1271, 602, 519, 4620, 8227, 12662, 713, 883, 7156, 543, 24502, 3063, 1426, 543, 1216, 585, 519, 4620, 1175, 538, 2013, 891, 2621, 4755, 269, 0, 288, 12525, 593, 29303, 853, 6506, 454, 21430, 513, 3349, 267, 2870, 2979, 2042, 454, 1103, 1840, 547, 17596, 2724, 547, 1628, 519, 9635, 267, 6837, 1185, 547, 6318, 2724, 547, 1832, 519, 9635, 538, 3028, 267, 602, 568, 267, 547, 2628, 585, 18203, 267, 8023, 543, 13848, 585, 519, 12284, 267, 3092, 269, 634, 12059, 6837, 4956, 602, 11645, 6394, 593, 20558, 1131, 581, 6659, 2687, 547, 519, 1739, 8430, 912, 4537, 641, 26283, 543, 23194, 5443, 941, 4280, 547, 2628, 267, 593, 1283, 540, 513, 10279, 540, 476, 278, 476, 272, 270, 273, 2600, 267, 606, 3606, 476, 272, 2600, 585, 16181, 267, 521, 5417, 956, 267, 16463, 17309, 267, 22970, 540, 581, 11232, 610, 5433, 610, 6404, 267, 666, 525, 267, 6972, 16853, 543, 627, 2354, 269, 2201, 513, 10279, 540, 476, 1015, 2600, 267, 6300, 26283, 543, 23194, 5443, 941, 4280, 547, 2628, 606, 3606, 476, 276, 2600, 593, 6149, 543, 552, 691, 1156, 2264, 267, 18899, 267, 1793, 622, 267, 20398, 543, 971, 563, 306, 1222, 5411, 941, 547, 2628, 606, 3606, 1269, 1547, 6734, 829, 1668, 3559, 540, 6070, 267, 1269, 1547, 1839, 21347, 829, 9522, 593, 782, 18535, 540, 9635, 543, 8043, 711, 540, 519, 772, 2529, 269, 543, 1269, 1547, 6187, 829, 9522, 593, 18535, 540, 9635, 540, 519, 772, 2529, 269, 7722, 538, 4914, 4123, 563, 16485, 1053, 547, 1118, 513, 3349, 540, 713, 1344, 543, 1711, 2979, 2042, 547, 5385, 609, 15032, 267, 971, 607, 281, 1548, 1131, 596, 723, 547, 2628, 538, 10279, 952, 596, 941, 513, 6300, 24010, 11449, 1269, 4335, 540, 16865, 16463, 17309, 286, 1269, 5655, 269, 2004, 269, 1215, 1454, 540, 713, 10279, 1131, 979, 547, 2628, 585, 519, 9635, 286, 1269, 276, 269, 876, 2107, 267, 875, 1804, 513, 695, 3612, 1131, 621, 1491, 547, 6318, 1269, 272, 267, 1822, 585, 1425, 6005, 519, 9635, 563, 920, 9016, 547, 15182, 918, 31348, 2006, 267, 15713, 3972, 2465, 267, 2475, 306, 9139, 7467, 543, 3427, 24490, 267, 2475, 306, 9139, 0, 1805, 516, 1115, 543, 13602, 941, 9788, 856, 267, 4054, 12630, 267, 519, 4195, 544, 28854, 9897, 941, 1196, 3022, 609, 26829, 540, 6960, 29326, 12992, 563, 257, 24938, 773, 519, 1133, 935, 638, 1229, 257, 676, 22186, 22220, 7439, 5142, 454, 10666, 513, 18158, 540, 891, 21432, 607, 1127, 835, 949, 2030, 4376, 602, 3340, 1454, 1216, 563, 257, 307, 4181, 267, 29759, 543, 26540, 540, 16506, 267, 476, 4489, 277, 257, 676, 15316, 454, 2691, 4628, 6738, 267, 519, 2030, 568, 540, 513, 13470, 10537, 1106, 267, 543, 827, 1614, 3952, 538, 4463, 563, 10454, 12197, 543, 12567, 29641, 540, 3013, 257, 676, 674, 8960, 8738, 337, 454, 5591, 835, 1058, 2030, 1164, 4441, 4849, 896, 2027, 6381, 282, 26829, 616, 513, 851, 540, 3592, 1169, 1804, 543, 1434, 4829, 3766, 31678, 563, 10454, 3883, 540, 623, 8986, 543, 1773, 4548, 257, 676, 11977, 19258, 5300, 454, 295, 2788, 4441, 543, 26829, 723, 849, 1044, 12630, 540, 891, 5613, 267, 607, 1134, 607, 540, 10027, 1845, 563, 257, 5319, 9871, 320, 4215, 27429, 267, 476, 1556, 628, 9990, 267, 11730, 476, 1556, 267, 6215, 823, 476, 274, 257, 676, 15316, 454, 1103, 1034, 4703, 543, 2694, 540, 519, 4703, 540, 2831, 543, 2371, 713, 4909, 1106, 568, 513, 18158, 563, 10454, 3778, 540, 20520, 267, 5292, 269, 4083, 630, 1993, 476, 273, 17983, 676, 21321, 560, 670, 2801, 1188, 601, 0, 15411, 7457, 4427, 2675, 3628, 7457, 454, 2419, 5190, 538, 10681, 334, 288, 22319, 1230, 8877, 29034, 534, 582, 13116, 15510, 543, 29034, 2033, 7621, 9179, 15783, 540, 16959, 5463, 25325, 23427, 11206, 1924, 2812, 454, 1103, 2067, 8134, 971, 607, 7733, 1283, 7240, 27080, 267, 2249, 5888, 13260, 543, 4005, 1275, 267, 616, 519, 1761, 10256, 540, 15655, 630, 6224, 275, 264, 10307, 267, 543, 3976, 267, 540, 519, 2551, 2450, 543, 2238, 540, 15655, 12444, 1944, 4551, 630, 300, 15477, 1040, 1677, 1449, 519, 8367, 602, 27177, 267, 3529, 2249, 543, 12119, 13260, 3310, 631, 15477, 2551, 543, 3037, 15655, 16617, 1761, 630, 300, 8008, 1070, 649, 5342, 1079, 15654, 1296, 540, 1353, 8939, 1614, 4609, 538, 513, 3819, 28301, 9341, 4104, 538, 25941, 4954, 328, 8664, 540, 9456, 31579, 541, 21423, 267, 3127, 269, 634, 7117, 303, 10135, 2164, 4951, 513, 1804, 8390, 538, 631, 15477, 2551, 2450, 630, 19817, 625, 575, 6629, 272, 546, 9749, 1070, 8151, 689, 476, 272, 269, 271, 6398, 476, 11793, 547, 476, 273, 269, 272, 6398, 476, 13040, 543, 476, 280, 269, 271, 6398, 476, 10755, 547, 476, 273, 269, 273, 6398, 476, 13040, 1282, 476, 1001, 277, 543, 476, 1001, 278, 6606, 269, 634, 3892, 540, 631, 15477, 2551, 7000, 519, 7678, 281, 14629, 9008, 3436, 1647, 3436, 14629, 19668, 609, 922, 3193, 9874, 538, 519, 5162, 543, 6922, 320, 538, 519, 24925, 4005, 269, 12524, 29164, 1353, 7000, 513, 2147, 7678, 538, 3037, 631, 8008, 630, 978, 8863, 275, 575, 6629, 272, 554, 6629, 272, 546, 9749, 1070, 621, 9867, 689, 476, 1015, 269, 277, 547, 476, 736, 269, 277, 543, 476, 1015, 269, 276, 547, 476, 736, 269, 278, 1282, 476, 1001, 277, 543, 476, 1001, 278, 6606, 269, 634, 9018, 24588, 11934, 4951, 2539, 631, 15477, 2551, 543, 631, 8008, 3379, 547, 896, 24588, 11934, 540, 3529, 2249, 645, 1393, 320, 1395, 657, 704 ]

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

[ 3054, 12341, 267, 621, 568, 1454, 9875, 547, 4605, 3054, 2479, 3478, 972, 269, 968, 303, 8008, 303, 312, 301, 729, 2813, 538, 476, 1001, 272, 676, 513, 1507, 1895, 540, 2852, 1053, 21616, 609, 519, 19018, 622, 2179, 540, 2942, 6041, 540, 3109, 6107, 538, 519, 2199, 3377, 1848, 630, 335, 269, 476, 3199, 1040, 1403, 596, 1810, 1406, 899, 1018, 596, 1294, 267, 649, 991, 21927, 938, 1053, 543, 3214, 547, 1689, 621, 269, 15526, 19262, 547, 1294, 2933, 538, 513, 2318, 1769, 269, 13536, 593, 538, 519, 2376, 621, 14753, 547, 875, 1271, 1893, 568, 269, 1284, 666, 946, 938, 1913, 547, 267, 968, 28265, 3972, 543, 24244, 9739, 892, 630, 335, 269, 476, 3199, 1040, 610, 27298, 543, 16563, 873, 269, 1284, 28297, 938, 6107, 811, 982, 519, 2663, 563, 12552, 585, 2542, 2676, 2108, 14807, 908, 519, 2247, 1510, 18997, 519, 2295, 267, 568, 1100, 2069, 693, 782, 1848, 0, 763, 4527, 540, 4550, 13463, 6312, 4345, 645, 3644, 630, 295, 29669, 264, 4295, 17193, 630, 21468, 6953, 289, 322, 264, 568, 2808, 513, 6213, 10715, 15262, 540, 670, 29669, 3968, 269, 3371, 267, 649, 8947, 713, 2915, 2742, 676, 14236, 519, 9860, 540, 17537, 645, 642, 790, 8926, 538, 4550, 6953, 289, 322, 2942, 2347, 10074, 538, 15990, 269, 589, 2698, 540, 476, 278, 4817, 5171, 630, 272, 269, 278, 268, 736, 269, 271, 1296, 2025, 264, 1185, 6192, 670, 29669, 12674, 538, 26638, 543, 941, 4550, 6953, 289, 322, 2942, 269, 5395, 636, 5439, 941, 2139, 585, 476, 29121, 2043, 609, 9678, 4550, 6953, 29669, 2627, 12489, 630, 21468, 6953, 24871, 264, 630, 295, 24871, 13070, 24308, 543, 4550, 6953, 289, 322, 2942, 264, 543, 585, 476, 25090, 2043, 945, 7318, 2942, 585, 782, 476, 274, 12508, 630, 28256, 921, 1583, 821, 326, 894, 1040, 2353, 5439, 941, 11643, 585, 29920, 5832, 5114, 630, 303, 10135, 264, 13389, 1312, 519, 840, 306, 13478, 543, 2473, 270, 2181, 4211, 5444, 4525, 269, 2986, 519, 476, 29121, 5171, 609, 9678, 4550, 6953, 24871, 267, 476, 2918, 630, 276, 269, 4792, 8472, 941, 2318, 585, 670, 29669, 676, 476, 273, 2389, 13759, 19738, 269, 2986, 519, 476, 25090, 17784, 1583, 821, 326, 894, 5439, 267, 476, 1321, 630, 275, 269, 3445, 8472, 941, 2318, 585, 670, 29669, 5027, 269, 769, 519, 5449, 1895, 267, 519, 9860, 540, 642, 790, 8926, 729, 3648, 2362, 538, 2043, 9907, 476, 277, 547, 476, 1015, 1296, 982, 538, 782, 824, 6502, 5916, 630, 1556, 269, 11025, 260, 5288, 476, 274, 269, 278, 9077, 623, 284, 271, 269, 9826, 1040, 634, 4550, 6953, 24871, 5707, 619, 941, 3648, 2539, 538, 5171, 476, 277, 547, 476, 1015, 1296, 2025, 982, 538, 782, 824, 6502, 5916, 630, 7761, 269, 6187, 5288, 476, 4200, 269, 5038, 332, 296, 308, 8276, 299, 267, 623, 284, 271, 269, 271, 4343, 1040, 769, 2698, 267, 476, 278, 630, 271, 269, 4200, 8472, 5396, 1185, 3067, 16666, 670, 29669, 5027, 2157, 630, 18231, 268, 1240, 267, 279, 736, 296, 308, 8276, 299, 1040, 25627, 2079, 540, 519, 590, 5444, 7000, 6669, 9101, 899, 13592, 269, 22031, 22807, 645, 642, 790, 8926, 666, 2049, 538, 4625, 18764, 2043, 945, 616, 2942, 585, 4550, 6953, 289, 322, 563, 3008, 297, 290, 2480, 22455, 1641, 2127, 454, 299, 2967, 267, 631, 269, 654, 1421, 6931, 267, 570, 269, 962, 1421, 9149, 836, 267, 918, 269, 670, 1421, 6931, 267, 654, 269, 681, 1421, 1299, 962, 12317, 267, 595, 269, 570, 269, 630, 1001, 277, 1040, 22031, 22807, 645, 642, 790, 8926, 538, 4625, 6375, 1242, 2043, 2942, 585, 4550, 13463, 6312, 4345, 645, 4295, 17193, 269, 6925, 630, 18197, 2276, 1070, 476, 4817, 263, 5392, 1070, 552, 6321, 273, 276, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 11820, 278, 270, 13270, 269, 1822, 1822, 1822, 1822, 6321, 273, 276, 0, 2691, 645, 4926, 31105, 454, 1692, 547, 6023, 606, 7237, 454, 2252, 596, 7237, 835, 540, 891, 538, 519, 3552, 267, 2611, 9985, 1869, 269, 1684, 711, 1118, 3750, 3346, 610, 1900, 4464, 267, 610, 596, 1522, 2721, 922, 3007, 269, 5502, 267, 1118, 621, 2312, 602, 596, 616, 3222, 540, 922, 4527, 267, 855, 905, 793, 771, 15517, 269, 6733, 2476, 269, 1403, 596, 616, 7555, 2673, 547, 922, 4397, 2619, 267, 1491, 513, 13581, 1900, 1394, 267, 11173, 547, 2057, 3750, 3346, 269, 918, 14525, 21772, 1246, 1360, 14461, 9194, 3270, 267, 543, 723, 1360, 2370, 942, 547, 3247, 547, 3049, 269, 22165, 515, 7444, 269, 918, 14525, 21772, 666, 2631, 791, 520, 1466, 610, 4160, 543, 786, 3500, 547, 8495, 563, 2252, 596, 1246, 713, 5796, 267, 519, 1668, 1058, 1780, 596, 1510, 1022, 2800, 269, 5457, 267, 621, 781, 811, 12922, 540, 596, 982, 596, 616, 540, 621, 563, 32153, 1668, 3620, 684, 1562, 949, 4163, 4482, 1218, 971, 607, 1412, 339, 758, 839, 262, 610, 1412, 10139, 525, 8339, 12875, 626, 6763, 949, 2119, 547, 6133, 596, 971, 3688, 607, 3209, 2906, 269, 1684, 711, 581, 18174, 539, 269, 12197, 10274, 616, 2139, 799, 1397, 519, 1455, 9194, 3270, 540, 891, 581, 6814, 267, 855, 616, 1134, 8153, 547, 581, 2407, 540, 538, 3147, 340, 20874, 269, 18963, 540, 3350, 666, 1689, 5662, 569, 269, 2142, 18762, 269, 19321, 707, 3845, 1256, 952, 596, 7237, 513, 1668, 602, 4667, 547, 581, 13676, 610, 16889, 4534, 789, 616, 3362, 1008, 12097, 269 ]

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

[ 0, 1432, 2681, 814, 519, 1034, 1648, 269, 4595, 2699, 6329, 723, 519, 13074, 5951, 1648, 789, 786, 723, 1447, 1648, 982, 6329, 609, 10156, 20966, 269, 774, 1846, 1946, 519, 2681, 3109, 4991, 3905, 2656, 855, 711, 3043, 269, 6904, 26282, 10805, 519, 9803, 2837, 269, 5221, 642, 14489, 6329, 723, 519, 20125, 15423, 540, 7298, 1769, 8552, 789, 4163, 1034, 1648, 476, 1839, 1232, 476, 1001, 276, 562, 1511, 1164, 476, 6110, 24519, 7397, 10384, 7397, 2681, 555, 320, 563, 7617, 26282, 10805, 519, 5207, 2837, 269, 594, 3494, 519, 2681, 568, 3043, 269, 634, 811, 1648, 513, 5951, 814, 519, 2362, 922, 4908, 543, 13030, 17930, 269, 966, 14489, 1769, 814, 519, 1034, 1648, 829, 27141, 540, 1022, 7298, 2681, 540, 1769, 609, 513, 15423, 540, 827, 476, 6110, 16354, 563, 763, 9803, 4908, 540, 7298, 1769, 799, 568, 2699, 814, 519, 2547, 1648, 269, 8299, 19965, 1769, 814, 606, 1256, 4130, 15423, 543, 607, 513, 1267, 811, 1648, 829, 27141, 855, 621, 568, 15865, 547, 519, 1480, 3750, 269, 2051, 712, 1281, 660, 1860, 519, 1648, 540, 1022, 1272, 845, 538, 1880, 855, 540, 519, 1114, 7298, 15437, 540, 1769, 2699, 814, 519, 2547, 1648, 543, 642, 14489, 814, 519, 1034, 269, 634, 2681, 602, 814, 519, 2547, 1648, 568, 2699, 563, 7617, 11954, 5068, 4847, 519, 2547, 1648, 547, 1780, 998, 621, 269, 966, 14489, 1769, 562, 1511, 1164, 1648, 476, 6110, 24519, 7397, 2699, 723, 2547, 1648, 269, 1879, 621, 2501, 547, 7298, 1769, 519, 5207, 4908, 2681, 799, 568, 642, 14489, 849, 814, 519, 1034, 1648, 269, 0, 6124, 4139, 19405, 454, 2252, 2576, 1793, 2355, 596, 593, 835, 32336, 267, 2490, 547, 873, 519, 824, 849, 269, 1403, 2576, 3217, 707, 10359, 267, 798, 711, 609, 3835, 707, 25099, 689, 873, 563, 21914, 6276, 6426, 454, 4517, 21349, 1864, 602, 1159, 527, 996, 26899, 593, 519, 835, 32336, 2709, 849, 519, 824, 282, 543, 1864, 602, 512, 752, 996, 2476, 16815, 804, 5803, 17246, 573, 711, 547, 1491, 16815, 10359, 849, 563, 291, 541, 2421, 6426, 22564, 454, 2414, 1864, 602, 1159, 2572, 26899, 593, 519, 32336, 267, 2709, 849, 519, 824, 282, 543, 689, 1864, 602, 1131, 1491, 2476, 16815, 28630, 267, 17246, 573, 711, 16815, 1560, 18396, 520, 849, 563, 13328, 2296, 6426, 454, 2414, 1864, 945, 16716, 596, 593, 519, 32336, 267, 2709, 849, 519, 824, 282, 543, 689, 1864, 945, 3217, 2476, 707, 27972, 752, 267, 1810, 1405, 609, 3835, 707, 10359, 849, 563, 21930, 781, 22175, 1968, 22564, 454, 663, 547, 1864, 1159, 1746, 26899, 2390, 519, 32336, 267, 2285, 849, 519, 824, 267, 543, 689, 1864, 2921, 2476, 689, 26899, 519, 25136, 267, 849, 519, 10359, 23524, 949, 652, 711, 1832, 1394, 563, 299, 8123, 476, 277, 281, 3066, 23155, 454, 4467, 29232, 5141, 541, 651, 781, 19410, 776, 593, 519, 6426, 454, 1320, 344, 27972, 752, 910, 16815, 10359, 910, 769, 15623, 476, 276, 281, 2412, 267, 594, 723, 1767, 602, 3213, 520, 267, 6543, 485, 15403, 16483, 22886, 14832, 10382, 267, 19752, 896, 28630, 267, 610, 2269, 527, 10359, 282, 543, 1849, 334, 752, 267, 31057, 365, 19031, 10382, 16483, 15403, 14267, 14832, 267, 1797, 5580, 28630, 267, 610, 1390, 10359, 269, 901, 7664, 568, 9672, 676, 519, 1739, 7422, 540, 21674, 13428, 576, 269, 634, 6543, 485, 15403, 16483, 22886, 14832, 729, 513, 7113, 3821, 267, 610, 22514, 1723, 520, 267, 936, 799, 519, 7642, 543, 824, 6082, 28520, 606, 9018, 10359, 267, 610, 575, 1144, 267, 1572, 513, 27972, 752, 267, 15623, 476, 276, 281, 2412, 267, 630, 6518, 568, 5921, 676, 31057, 365, 19031, 10382, 16483, 15403, 14267, 14832, 1070, 950, 789, 4682, 13383, 267, 610, 941, 711, 693, 960, 269, 9747, 519, 1455, 1004, 693, 7507, 267, 945, 1705, 711, 2356, 5957, 267, 610, 1185, 1100, 1318, 547, 5957, 267, 519, 547, 8615, 267, 616, 1572, 676, 9710, 864, 7113, 545, 9850, 1402, 749, 639, 267, 9210, 626, 269, 1775, 269, 476, 278, 267, 476, 4792, 269, 901, 2272, 540, 519, 3017, 1063, 519, 6543, 485, 15403, 16483, 22886, 14832, 543, 519, 31057, 365, 19031, 10382, 16483, 15403, 14267, 14832, 5526, 10750, 569, 689, 1018, 7665, 574, 639, 14977, 686, 639, 3081, 267, 634, 6418, 28630, 799, 568, 936, 519, 1560, 789, 1289, 6543, 485, 15403, 16483, 22886, 14832, 15403, 17385, 24681, 14267, 14832, 267, 543, 519, 9018, 835, 519, 31057, 365, 19031, 10382, 16483, 15403, 14267, 14832, 269, 1656, 865, 1773, 583, 1105, 267, 630, 514, 715, 340, 696, 269, 533, 269, 476, 16928, 267, 1196, 269, 17012, 269, 476, 14341, 271, 1070, 6340, 540, 513, 812, 945, 5433, 519, 3002, 540, 519, 3141, 1932, 1454, 585, 1864, 267, 3081, 602, 646, 2322, 1055, 267, 26018, 14267, 14832, 6543, 485, 15403, 16483, 22886, 14832, 10382, 267, 26018, 413, 379, 367, 31057, 364, 19031, 10382, 16483, 15403, 413, 379, 367, 267, 1010, 22514, 1723, 520, 849, 609, 1010, 27972, 752, 563, 307, 516, 21204, 540, 23075, 11310, 454, 299, 3869, 299, 9155, 540, 519, 8003, 454, 262, 4517, 1261, 24850, 909, 3571, 4064, 593, 3571, 20785, 267, 543, 1767, 267, 645, 1652, 539, 581, 9493, 4057, 281, 585, 16523, 568, 519, 10806, 540, 2696, 267, 476, 2641, 269, 645, 1652, 539, 616, 9493, 602, 14000, 1631, 281, 585, 9493, 4927, 581, 4904, 269, 645, 1652, 539, 616, 9493, 602, 649, 788, 1631, 281, 585, 9493, 4927, 14902, 269, 476, 2420, 269, 645, 1652, 539, 616, 9493, 267, 950, 2367, 4927, 13842, 596, 267, 543, 950, 789, 4927, 5094, 596, 689, 741, 2754, 267, 543, 4927, 1065, 25209, 596, 267, 543, 5641, 856, 707, 2012, 607, 9409, 267, 585, 519, 12312, 540, 812, 781, 19160, 269, 476, 2537, 269, 1234, 329, 4069, 9493, 538, 602, 1554, 267, 543, 20014, 585, 7772, 282, 585, 267, 1531, 1245, 267, 707, 8007, 568, 1390, 538, 13140, 281, 585, 538, 519, 6693, 20694, 6387, 5839, 331, 13873, 1765, 2750, 21752, 2986, 10513, 23075, 454, 306, 1069, 517, 585, 519, 19549, 10732, 1310, 27076, 454, 763, 4168, 2667, 13554, 538, 24167, 883, 1010, 12618, 538, 24553, 563, 2171, 1744, 718, 711, 581, 30985, 538, 519, 681, 21403, 540, 519, 667, 583, 625, 538, 799, 4168, 11146, 2483, 3719, 594, 2995, 596, 267, 798, 711, 5706, 606, 9409, 1268, 269, 1403, 4896, 1793, 2355, 596, 593, 519, 1318, 32336, 267, 2490, 547, 873, 519, 824, 32336, 849, 563, 4517, 952, 4896, 6499, 547, 647, 324, 596, 543, 1491, 707, 25099, 267, 1688, 936, 707, 10359, 607, 1134, 563, 24876, 547, 3025, 945, 12134, 596, 267, 543, 952, 4896, 3217, 1018, 12851, 547, 596, 267, 798, 711, 3747, 621, 1394, 563, 297, 2794, 547, 19881, 289, 1652, 645, 869, 4258, 2131, 1849, 334, 752, 1849, 5803, 3213, 520, 4354, 572, 8131, 1280, 321, 573, 717, 1161, 670, 1080, 20644, 4860, 850, 7605, 324, 1744, 7398, 17121, 590, 2466, 525, 590, 2466, 996, 25126, 17547, 22367, 7719, 12414, 539, 2060, 3835, 454, 297, 2794, 547, 8921, 289, 1652, 645, 869, 4258, 2131, 1849, 334, 752, 1849, 5803, 3213, 520, 4354, 572, 8131, 1280, 321, 573, 717, 1161, 670, 1080, 20644, 4860, 850, 7605, 324, 1744, 7398, 17121, 590, 2466, 525, 590, 2466, 996, 25126, 17547, 22367, 7719, 12414, 539, 2060, 3835, 454, 299, 3855, 299, 8123, 476, 277, 281, 3066, 715, 4353, 454, 299, 8123, 476, 277, 281, 3066, 715, 299, 307, 454, 299, 8123, 476, 277, 281, 3066, 11536, 309, 454, 299, 8123, 476, 277, 281, 3066, 7730, 289, 454, 299, 8123, 476, 277, 281, 3066, 918, 297, 309, 454, 299, 8123, 476, 277, 281, 3066, 6426, 29393, 454, 299, 8123, 476, 277, 281, 3066, 645, 7441, 807, 3474, 531, 11253, 454, 299, 8123, 476, 277, 281, 3066, 4457, 6426, 454, 299, 8123, 476, 277, 281, 3066, 3943, 6426, 454, 299, 8123, 476, 277, 281, 3066, 4436, 6426, 454, 299, 8123, 476, 277, 281, 3066, 19410, 2456, 454, 15578, 670, 5357, 312, 19739, 25770, 267, 21832, 29206, 2793, 3582, 3201, 966, 8991, 12778, 10378, 267, 715, 4353, 10378, 14645, 9736, 476, 3192, 274, 267, 476, 3192, 279, 267, 476, 2735, 275, 267, 476, 1001, 272, 676, 645, 756, 997, 320, 10378, 269, 0, 10955, 13428, 576, 779, 4653, 779, 3965, 454, 763, 1101, 12896, 3240, 22952, 454, 23192, 3838, 676, 3798, 13428, 576, 454, 23192, 1572, 519, 12896, 25869, 17758, 267, 519, 1101, 12896, 332, 903, 941, 19942, 856, 593, 2904, 476, 275, 267, 476, 4198, 280, 267, 547, 8956, 519, 7574, 18517, 676, 22407, 585, 519, 1032, 476, 4198, 279, 269, 634, 16008, 729, 18799, 676, 635, 539, 1014, 18200, 19300, 331, 543, 4371, 693, 519, 30094, 569, 23664, 2023, 23392, 538, 30094, 569, 22193, 267, 4993, 563, 292, 12848, 32684, 2059, 609, 4032, 5178, 773, 2968, 519, 1101, 3979, 1977, 2206, 619, 547, 3094, 12896, 3240, 22952, 693, 519, 1101, 5993, 16008, 269, 769, 1249, 267, 32684, 4465, 1079, 17758, 693, 519, 22305, 1116, 2680, 267, 835, 585, 7454, 27227, 13437, 269, 0, 9209, 2873, 281, 476, 7906, 2164, 31207, 2164, 19314, 763, 11206, 12140, 1995, 814, 4547, 1082, 2640, 547, 1453, 693, 513, 4259, 538, 10430, 269, 7788, 11321, 773, 595, 7342, 5069, 6257, 519, 1184, 563, 21886, 15758, 1453, 547, 2263, 519, 13964, 811, 11884, 9863, 547, 581, 513, 2528, 1689, 538, 7313, 1961, 267, 3081, 29366, 5576, 332, 1221, 518, 267, 7216, 4804, 27545, 11819, 630, 5085, 2969, 264, 1369, 519, 7313, 1961, 7216, 13012, 12243, 563, 11073, 21830, 5054, 666, 2709, 1434, 3255, 585, 1453, 547, 1628, 543, 1020, 1688, 31378, 1071, 268, 867, 1588, 267, 952, 519, 1318, 7459, 616, 1500, 269, 7325, 773, 13738, 15109, 519, 1655, 4485, 563, 14399, 538, 835, 4639, 12246, 16303, 1153, 723, 1044, 3478, 2673, 547, 2470, 7064, 547, 513, 3860, 1788, 543, 519, 8187, 325, 25717, 543, 22911, 4133, 11565, 1863, 11564, 10872, 267, 3081, 16888, 25679, 331, 664, 563, 30874, 9205, 1404, 814, 1082, 2640, 585, 1453, 269, 966, 643, 24900, 6941, 875, 1200, 1453, 781, 8998, 568, 8716, 3885, 547, 1205, 856, 543, 827, 267, 4764, 610, 19542, 563, 15761, 2056, 2081, 547, 1628, 1453, 781, 2168, 4222, 609, 513, 2039, 540, 4277, 2200, 543, 2238, 568, 2653, 910, 543, 4105, 267, 3081, 7325, 773, 13738, 563, 17809, 4575, 3255, 585, 3742, 9205, 1404, 3648, 4679, 1453, 781, 22231, 543, 621, 991, 711, 581, 7199, 267, 3081, 7325, 773, 13738, 563, 288, 4104, 1604, 22262, 519, 946, 540, 10855, 1893, 267, 3081, 8349, 710, 20242, 1206, 267, 513, 11206, 12140, 6205, 585, 1896, 3506, 538, 13573, 563, 763, 2168, 543, 2790, 2640, 540, 513, 11206, 3427, 3018, 585, 1453, 693, 513, 3162, 1744, 3658, 4259, 723, 25295, 6788, 563, 2467, 568, 1454, 547, 1745, 543, 3605, 538, 519, 18137, 8726, 519, 4365, 267, 3081, 8349, 710, 20242, 1206, 267, 11206, 3427, 6205, 609, 853, 6723, 781, 12729, 3427, 267, 654, 549, 628, 600, 563, 268, 15099, 630, 7906, 994, 268, 2037, 29058, 5054, 630, 7906, 994, 268, 4934, 13073, 630, 7906, 994, 268, 6657, 630, 7906, 994, 268, 11242, 630, 5379, 994, 268, 4197, 519, 1158, 630, 1724, 994, 268, 8447, 1646, 630, 1015, 994, 268, 4132, 1646, 630, 275, 994, 268, 4033, 630, 275, 994, 268, 17510, 547, 555, 4181, 630, 274, 994, 268, 2657, 543, 6484, 630, 274, 994, 268, 5890, 4809, 6575, 543, 1374, 630, 273, 994, 268, 9866, 3569, 270, 817, 20156, 270, 680, 8911, 630, 273, 994, 268, 16811, 543, 2200, 630, 272, 994, 268, 9608, 4882, 3469, 270, 655, 10899, 1646, 630, 272, 994, 268, 11554, 609, 3237, 630, 272, 264, 0, 291, 745, 1749, 941, 519, 31794, 540, 3504, 22469, 2486, 269, 1358, 941, 3909, 3401, 267, 3744, 267, 543, 3173, 269, 1358, 941, 15023, 267, 4012, 5974, 267, 543, 19936, 269, 1809, 789, 941, 4625, 530, 21317, 856, 676, 519, 14564, 1472, 476, 6872, 5084, 2059, 609, 782, 667, 745, 573, 1975, 20635, 543, 13742, 269, 1924, 267, 1360, 2370, 3788, 547, 713, 1554, 563, 763, 2012, 968, 291, 745, 573, 892, 11710, 689, 519, 21475, 26049, 2262, 968, 1457, 340, 2223, 2495, 968, 25152, 2223, 799, 7960, 689, 519, 5259, 2262, 585, 968, 334, 752, 2223, 610, 968, 323, 6350, 1848, 24296, 584, 29418, 267, 519, 1259, 540, 519, 667, 745, 573, 11394, 10103, 609, 2470, 543, 513, 1272, 5030, 6923, 543, 789, 5641, 741, 9059, 667, 745, 573, 28542, 538 ]

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

[ 2048, 14875, 302, 8970, 4603, 685, 610, 2048, 14875, 302, 8970, 25277, 685, 543, 596, 786, 1265, 602, 930, 2161, 602, 2831, 666, 2631, 1945, 1114, 827, 16220, 22041, 8970, 543, 2057, 4189, 621, 952, 789, 666, 269, 2368, 1004, 723, 1256, 2322, 713, 2243, 547, 519, 1449, 676, 3257, 741, 1378, 4603, 547, 1265, 856, 256, 661, 1513, 540, 10648, 302, 543, 1875, 8566, 19616, 8970, 723, 1044, 5116, 2427, 8386, 20933, 547, 1265, 856, 952, 835, 1274, 4991, 13881, 543, 519, 824, 1281, 711, 563, 763, 2164, 540, 891, 23278, 4973, 5359, 616, 6404, 269, 2368, 1867, 602, 519, 10648, 302, 8970, 568, 14284, 267, 1247, 1866, 630, 10175, 713, 3381, 264, 1867, 602, 972, 568, 1100, 3017, 269, 5620, 972, 1044, 1022, 3621, 2090, 602, 4983, 713, 2243, 286, 3502, 835, 602, 594, 666, 1265, 269, 2334, 779, 1946, 649, 4956, 547, 798, 835, 267, 855, 649, 2461, 711, 2469, 547, 798, 621, 593, 938, 1378, 269, 1284, 2461, 2469, 547, 798, 713, 4603, 609, 596, 1107, 607, 519, 1101, 2479, 18299, 523, 3163, 4603, 547, 1449, 2442, 6811, 827, 10648, 11675, 2336, 763, 10648, 302, 12397, 15331, 454, 2171, 2461, 7432, 547, 7715, 4206, 27448, 547, 1205, 713, 4603, 1055, 519, 2666, 269, 1284, 9250, 513, 2508, 24597, 5859, 593, 15331, 2593, 547, 2628, 585, 519, 1942, 540, 1818, 543, 11288, 4603, 20164, 547, 18299, 523, 26831, 13538, 945, 1129, 909, 547, 581, 513, 851, 540, 519, 4603, 269, 1284, 991, 547, 6318, 1269, 277, 267, 1220, 547, 2322, 1927, 543, 6928, 20733, 540, 476, 7742, 4603, 20164, 267, 543, 2628, 585, 519, 12375, 547, 15476, 519, 2164, 538, 513, 3621, 4760, 269, 1284, 616, 6998, 585, 513, 1269, 1839, 21856, 547, 7119, 538, 713, 4603, 267, 543, 4376, 936, 602, 786, 979, 4724, 11488, 20164, 547, 3506, 547, 7119, 585, 1863, 2336, 5978, 15331, 2593, 2508, 571, 16014, 568, 519, 1747, 547, 979, 547, 1265, 856, 811, 827, 875, 713, 4603, 786, 960, 267, 875, 547, 24946, 267, 543, 811, 269, 6744, 856, 519, 3381, 267, 1287, 979, 547, 8940, 14371, 19616, 23024, 2939, 2593, 563, 763, 7715, 4206, 27448, 5859, 786, 2063, 585, 1152, 476, 736, 2395, 267, 10678, 693, 28813, 593, 19343, 269, 2991, 602, 1107, 543, 594, 1611, 1318, 1310, 602, 267, 649, 2461, 11288, 519, 20164, 856, 547, 938, 13538, 945, 786, 581, 2111, 547, 798, 519, 4603, 607, 2038, 607, 5437, 2336, 21093, 2257, 883, 519, 3946, 540, 3214, 454, 2171, 1616, 3214, 543, 3506, 547, 581, 513, 851, 540, 713, 4603, 865, 789, 666, 1451, 827, 875, 2257, 568, 2944, 538, 513, 3946, 6823, 543, 1187, 1259, 269, 1703, 786, 581, 865, 1082, 3255, 585, 1053, 547, 1118, 741, 1378, 11236, 267, 5531, 1239, 267, 543, 1106, 8753, 269, 3973, 789, 786, 1205, 547, 1451, 827, 875, 3744, 10956, 6901, 543, 9192, 1239, 547, 1106, 6793, 8753, 269, 7053, 267, 789, 786, 1451, 827, 875, 3744, 979, 998, 9263, 2689, 547, 1205, 741, 3803, 1957, 3370, 585, 519, 3621, 2146, 547, 1294, 269, 898, 568, 938, 4126, 602, 22881, 786, 581, 2111, 547, 2322, 538, 513, 2370, 3787, 811, 865, 602, 649, 666, 2285, 519, 1205, 2257, 883, 519, 3946, 540, 3214, 2336, 10673, 622, 3371, 269, 3973, 1129, 909, 585, 519, 4603, 3371, 563, 7021, 519, 1985, 476, 736, 2395, 267, 649, 3580, 581, 10213, 596, 811, 827, 875, 519, 4603, 786, 960, 267, 519, 1394, 32143, 827, 875, 713, 3357, 1927, 267, 5961, 540, 519, 8970, 2371, 950, 789, 941, 3395, 267, 543, 811, 269, 1280, 835, 3364, 267, 594, 786, 723, 5111, 476, 273, 267, 1822, 7273, 540, 8970, 6029, 909, 593, 1250, 7450, 21163, 538, 1079, 2395, 256, 1411, 786, 581, 2111, 547, 1294, 875, 7372, 713, 4603, 666, 1831, 267, 607, 649, 666, 1118, 909, 547, 476, 272, 267, 7742, 4603, 20164, 269, 901, 4603, 568, 2469, 547, 4755, 543, 1934, 779, 707, 4960, 547, 581, 513, 851, 540, 621, 269, 1284, 1223, 6166, 606, 5863, 1198, 610, 7006, 601, 513, 7242, 1927, 1107, 543, 2901, 1259, 649, 3580, 4434, 2257, 543, 723, 513, 2603, 540, 1187, 3257, 621, 563, 1607, 568, 513, 1390, 4603, 256, 1772, 621, 2009, 547, 7119, 538, 824, 2477, 899, 19934, 888, 12552, 585, 6998, 256, 2311, 713, 1448, 267, 649, 616, 3168, 883, 1373, 2111, 547, 1331, 4516, 630, 6518, 4667, 1360, 2693, 693, 713, 3942, 1070, 855, 519, 9167, 949, 581, 1360, 9157, 547, 6330, 269, 634, 10648, 302, 3099, 543, 782, 540, 922, 7592, 1131, 991, 547, 581, 9516, 543, 24317, 5452, 2066, 10665, 11438, 922, 1378, 2152, 607, 1134, 563, 1607, 568, 938, 1101, 18299, 523, 3163, 4603, 267, 543, 649, 1544, 547, 798, 811, 538, 519, 2104, 267, 543, 5310, 930, 540, 519, 2093, 649, 3580, 723, 786, 581, 4443, 547, 2936, 5001, 2336, 1607, 568, 513, 24321, 2969, 2856, 2336, 3719, 1018, 4010, 798, 596, 1611, 968, 335, 599, 585, 519, 12375, 547, 15476, 519, 2164, 538, 513, 3621, 4760, 892, 286, 2334, 4992, 899, 1945, 5214, 15628, 1131, 798, 563, 306, 675, 569, 2576, 786, 15476, 707, 2164, 585, 1863, 267, 607, 1279, 607, 596, 1246, 3044, 3621, 10873, 563, 2005, 779, 2182, 547, 2932, 2427, 8386, 20933, 1587, 16198, 950, 707, 2229, 536, 753, 835, 540, 519, 2472, 563, 15411, 1569, 13746, 2154, 12375, 547, 15476, 269, 12813, 24382, 2290, 585, 1383, 563, 4517, 602, 779, 1732, 1317, 2507, 888, 1692, 786, 596, 13182, 602, 519, 968, 16955, 892, 8970, 3085, 1406, 2270, 968, 14875, 302, 892, 7592, 270, 19091, 286, 4024, 596, 581, 1210, 568, 8328, 6476, 547, 2061, 519, 13283, 602, 25277, 1522, 723, 585, 835, 540, 1079, 1114, 29528, 888, 2791, 1058, 6432, 547, 24910, 779, 15264, 267, 789, 3382, 891, 3877, 269, 5291, 2517, 4178, 6745, 22736, 6798, 1774, 577, 335, 617, 4751, 2593, 270, 286, 335, 284, 15876, 454, 12552, 1509, 1107, 19890, 594, 666, 1406, 1902, 519, 476, 2004, 3764, 693, 713, 942, 269, 2052, 596, 2995, 803, 519, 4267, 547, 1250, 2055, 286, 610, 5310, 2995, 803, 1141, 538, 519, 15264, 594, 1522, 1265, 873, 286, 8729, 1586, 563, 13425, 856, 10648, 302, 23024, 2939, 2593, 543, 596, 3580, 1265, 811, 3877, 827, 519, 8970, 269, 634, 6476, 568, 10648, 302, 5288, 1875, 10648, 302, 269, 26681, 729, 6738, 1210, 4481, 5214, 2409, 269, 634, 1875, 10648, 302, 8970, 568, 568, 8328, 547, 519, 10648, 302, 8970, 269, 1284, 616, 4058, 4255, 547, 13182, 16726, 543, 7592, 563, 5591, 267, 631, 548, 2742, 267, 594, 993, 711, 707, 2123, 23296, 19212, 269, 1809, 596, 723, 7899, 540, 942, 547, 6432, 1354, 519, 4316, 32195, 563, 296, 993, 19259, 539, 693, 875, 11826, 1004, 10393, 616, 269, 1656, 519, 4441, 789, 2154, 267, 799, 789, 2760, 1416, 827, 950, 2319, 5214, 568, 13629, 269, 2368, 1004, 723, 2907, 25323, 519, 1788, 1317, 631, 2177, 306, 3198, 15674, 269, 898, 779, 554, 559, 13895, 563, 12552, 1323, 770, 14901, 9462, 30904, 898, 786, 581, 1187, 547, 1294, 713, 454, 2005, 779, 1434, 547, 581, 19259, 539, 563, 292, 2416, 519, 2278, 610, 519, 5467, 814, 547, 2628, 585, 519, 8313, 3790, 269, 1403, 596, 1616, 519, 2164, 547, 581, 11884, 2139, 547, 3025, 267, 1287, 621, 1058, 581, 538, 1930, 1569, 4760, 269, 4935, 519, 4589, 723, 547, 2628, 519, 12375, 269, 594, 1589, 602, 568, 4023, 563, 8133, 543, 9811, 267, 789, 786, 581, 1210, 568, 8328, 3515, 543, 9493, 553, 789, 616, 2469, 4830, 19027, 540, 519, 570, 5937, 2793, 4527, 269, 3245, 519, 15264, 621, 4667, 602, 519, 4603, 568, 9709, 1134, 563, 2005, 1131, 581, 2864, 2352, 547, 1685, 538, 1022, 9167, 2197, 269, 634, 15864, 1259, 1131, 581, 547, 798, 1769, 4528, 540, 519, 1449, 609, 645, 339, 8970, 631, 2177, 279, 1015, 267, 799, 568, 519, 1152, 835, 4847, 849, 585, 14713, 269, 853, 17977, 16023, 1351, 985, 8677, 616, 15868, 1152, 607, 1426, 543, 3049, 267, 3976, 519, 524, 10849, 991, 547, 581, 16865, 585, 799, 596, 1131, 991, 5094, 11863, 269, 3973, 1142, 4357, 1268, 945, 6499, 547, 798, 519, 4603, 609, 29160, 1922, 3975, 814, 547, 11578, 609, 3617, 18591, 547, 581, 3769, 593, 519, 1592, 540, 10648, 302, 3755, 630, 325, 2465, 2838, 1040, 594, 1223, 1294, 835, 811, 1761, 1966, 1107, 519, 10648, 302, 25865, 814, 547, 581, 5265, 13042, 1282, 782, 7829, 543, 6283, 267, 865, 1818, 513, 5595, 9420, 4603, 1522, 581, 2352, 269, 634, 1875, 8566, 19616, 25865, 1131, 723, 547, 581, 13042, 607, 10648, 4947, 689, 5521, 18022, 4007, 324, 563, 296, 17254, 326, 1194, 693, 968, 974, 600, 5214, 6100, 594, 1616, 513, 512, 6879, 7398, 2336, 10303, 519, 2482, 17367, 602, 3085, 1406, 1616, 630, 528, 666, 1406, 264, 24049, 547, 519, 4760, 666, 1569, 519, 2164, 563, 11039, 540, 1576, 1100, 835, 693, 12713, 3228, 1881, 786, 581, 14281, 547, 5873, 713, 689, 803, 1107, 855, 1107, 1310, 1101, 1025, 2313, 630, 1492, 1187, 602, 649, 782, 723, 609, 968, 18076, 17691, 14615, 594, 1810, 1406, 2731, 899, 713, 607, 513, 968, 27023, 881, 4603, 892, 585, 3214, 269, 4208, 286, 5221, 952, 3214, 666, 1406, 3398, 513, 4116, 610, 10196, 779, 24969, 618, 602, 25277, 3548, 1022, 543, 782, 5686, 540, 8970, 267, 855, 1522, 4782, 835, 936, 1776, 585, 1022, 1297, 540, 4128, 824, 982, 4719, 4702, 1107, 1287, 649, 723, 8273, 2042, 982, 835, 4683, 10828, 563, 763, 1966, 1934, 568, 281, 649, 723, 3744, 23831, 17258, 547, 1945, 602, 779, 711, 3621, 676, 10912, 621, 606, 968, 23024, 2939, 6100, 634, 2596, 16950, 281, 25277, 5749, 1406, 519, 818, 321, 3438, 540, 3621, 1249, 269, 589, 29160, 786, 3548, 8914, 536, 7159, 269, 634, 29943, 540, 2348, 536, 7431, 535, 728, 3744, 1289, 713, 606, 968, 23024, 2939, 892, 568, 602, 1453, 786, 1451, 1945, 827, 575, 21573, 5288, 269, 1875, 3766, 21573, 269, 634, 1249, 602, 789, 4465, 1406, 1451, 4376, 4849, 602, 3744, 899, 547, 723, 1187, 609, 4683, 17691, 1932, 267, 543, 616, 8348, 547, 6108, 2724, 593, 713, 4990, 540, 3364, 1107, 568, 711, 1945, 594, 1616, 547, 1489, 563, 9989, 1100, 835, 3116, 1294, 1966, 609, 1915, 1944, 713, 607, 606, 4603, 547, 4001, 1453, 827, 2257, 888, 32612, 2831, 711, 4189, 575, 21573, 568, 606, 4683, 10828, 454, 327, 21036, 256, 594, 6557, 7996, 585, 519, 5214, 11945, 726, 2313, 11442, 256, 9462, 30904, 454, 8530, 1501, 519, 2164, 538, 513, 18019, 4760, 543, 1577, 519, 2923, 1867, 593, 621, 563, 16391, 545, 15628, 723, 1044, 5180, 569, 22309, 585, 9878, 547, 15476, 741, 943, 3415, 2164, 269, 14568, 547, 15476, 519, 2164, 540, 713, 4603, 538, 513, 18019, 4081, 4760, 543, 1287, 1577, 519, 2923, 1867, 593, 621, 563, 310, 7159, 1175, 513, 8792, 1934, 7498, 1692, 616, 519, 25277, 9277, 547, 917, 799, 25865, 568, 799, 8259, 596, 14377, 519, 4191, 883, 29160, 888, 5475, 782, 267, 1373, 5214, 782, 1630, 2812, 1524, 547, 519, 21458, 563, 2791, 1118, 513, 1434, 1448, 631, 548, 2742, 269, 1809, 621, 729, 5214, 15628, 945, 3357, 909, 609, 519, 4652, 15903, 10206, 602, 3552, 2831, 4465, 1406, 3548, 10648, 11675, 269, 1924, 621, 779, 513, 9985, 3280, 2856, 547, 3181, 6064, 602, 10206, 609, 606, 4603, 563, 2704, 553, 267, 649, 616, 1134, 7146, 2389, 745, 569, 8405, 11546, 788, 538, 519, 1158, 540, 1728, 701, 543, 18259, 538, 519, 2898, 5214, 642, 269, 10648, 302, 7521, 563, 6546, 568, 1318, 269, 1809, 968, 13449, 1569, 892, 1281, 711, 3160, 2392, 2218, 267, 1970, 2298, 4760, 543, 968, 11357, 2675, 3628, 1569, 1152, 892, 1281, 711, 3160, 1164, 2298, 18019, 4760, 269, 1703, 616, 1256, 1360, 1164, 9043, 13746, 267, 602, 666, 7363, 581, 15600, 1152, 609, 20478, 602, 1450, 3173, 547, 15476, 1930, 1569, 4930, 267, 3246, 789, 2628, 519, 13927, 269, 2368, 7616, 4703, 1256, 31274, 593, 13629, 519, 2164, 689, 14102, 1382, 998, 1930, 1569, 3609, 269, 1403, 519, 27710, 9707, 17188, 585, 519, 1382, 267, 646, 814, 519, 1318, 547, 1205, 519, 2407, 2164, 1510, 9878, 3606, 12375, 269, 4179, 2517, 21504, 17739, 8542, 8811, 10993, 13045, 3719, 15983, 596, 1294, 602, 9039, 540, 602, 786, 13469, 609, 519, 1857, 563, 3963, 798, 596, 3364, 922, 568, 711, 968, 9418, 892, 3621, 4603, 286, 594, 993, 20994, 855, 594, 21645, 1174, 1946, 25277 ]

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

[ 815, 302, 3799, 273, 281, 10037, 15311, 281, 1040, 4939, 14457, 268, 272, 269, 274, 2913, 259, 313, 28701, 2473, 1422, 10383, 962, 259, 2041, 519, 5119, 4611, 689, 519, 8691, 269, 634, 7127, 538, 4737, 1775, 543, 6241, 795, 568, 20922, 676, 589, 1775, 282, 329, 269, 19577, 269, 19577, 269, 1548, 568, 8641, 5295, 532, 7790, 476, 4335, 476, 4335, 476, 4335, 476, 4335, 476, 4335, 476, 4335, 476, 4335, 476, 4335, 476, 4335, 476, 4335, 476, 30116, 476, 30116, 476, 276, 5038, 476, 276, 5038, 476, 276, 5038, 476, 29900, 1403, 519, 29491, 1587, 540, 1079, 562, 6398, 562, 14290, 568, 1939, 762, 538, 744, 3799, 645, 264, 10026, 4238, 630, 324, 3052, 269, 1280, 1383, 267, 2015, 2630, 3113, 3690, 1438, 19479, 540, 1657, 11708, 568, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 271, 476, 271, 476, 271, 476, 272, 1284, 723, 5941, 513, 744, 263, 309, 476, 274, 264, 3070, 585, 713, 1934, 269, 476, 18357, 476, 4335, 476, 4649, 277, 476, 29900, 476, 4649, 277, 476, 29900, 476, 18357, 476, 4335, 476, 4649, 277, 476, 30116, 476, 18357, 476, 4649, 277, 476, 30116, 476, 279, 3451, 476, 4649, 277, 476, 4335, 1315, 6944, 757, 476, 1724, 476, 271, 681, 634, 3914, 268, 1464, 5119, 568, 1572, 1098, 1438, 19479, 540, 513, 3113, 269, 476, 1556, 476, 271, 1073, 329, 476, 4335, 476, 4335, 476, 18357, 476, 4343, 280, 476, 30116, 476, 4335, 476, 4335, 476, 278, 2420, 476, 4335, 476, 4335, 476, 29900, 476, 21878, 476, 1220, 476, 21878, 476, 276, 6078, 476, 278, 4281, 634, 30424, 1063, 1098, 1438, 19479, 543, 5786, 267, 607, 1134, 607, 519, 5786, 5690, 267, 729, 3964, 538, 1547, 8921, 3992, 269, 4469, 20477, 654, 6702, 718, 23990, 568, 1031, 547, 1265, 519, 20125, 9883, 1063, 1169, 6292, 540, 14622, 538, 513, 2016, 22051, 6316, 8641, 269, 5565, 12496, 540, 29943, 538, 28547, 7954, 286, 634, 3914, 268, 1464, 5119, 568, 1572, 1098, 1438, 19479, 540, 513, 3113, 269, 24177, 476, 4649, 277, 476, 278, 2420, 476, 5780, 278, 476, 4649, 277, 476, 277, 1556, 476, 278, 2420, 476, 278, 2420, 476, 280, 4510, 476, 278, 2420, 476, 278, 2420, 476, 277, 1556, 476, 18357, 476, 30116, 476, 18357, 476, 5379, 280, 476, 4335, 1772, 713, 25162, 6190, 547, 2015, 1250, 5690, 607, 606, 3608, 5119, 8691, 5690, 286, 1635, 1210, 938, 3135, 267, 596, 11760, 602, 596, 723, 1224, 543, 1174, 938, 13648, 773, 8889, 267, 21041, 8889, 267, 543, 938, 16301, 540, 6796, 269, 681, 568, 2016, 676, 14290, 681, 543, 590, 2630, 269, 4939, 901, 1599, 15824, 3690, 1438, 1849, 3837, 593, 519, 3403, 2619, 5119, 1412, 332, 3299, 4939, 799, 568, 513, 9859, 1035, 5670, 545, 3113, 630, 6395, 294, 1070, 4939, 1210, 2241, 5119, 8691, 1505, 269, 4569, 297, 1314, 4704, 269, 634, 1249, 602, 519, 3113, 568, 9859, 5108, 9635, 610, 835, 7372, 835, 3483, 1281, 476, 15234, 1862, 1422, 17484, 16766, 259, 1107, 4498, 12245, 12390, 3832, 14114, 3149, 523, 8734, 476, 275, 1412, 1321, 693, 476, 1691, 281, 4375, 2913, 513, 815, 2715, 476, 272, 267, 476, 273, 267, 476, 274, 476, 275, 269, 4427, 18285, 547, 713, 681, 7704, 3049, 267, 5299, 543, 13594, 713, 15745, 883, 681, 7704, 256, 5272, 6292, 540, 14622, 538, 513, 5119, 568, 1572, 606, 7127, 630, 562, 3738, 907, 1280, 14921, 1079, 1098, 1438, 19479, 1210, 5119, 8691, 6398, 562, 14290, 568, 1939, 762, 538, 744, 630, 562, 1299, 1948, 1535, 6734, 289, 272, 6902, 286, 3738, 256, 667, 271, 568, 519, 7755, 659, 1890, 5119, 540, 717, 2608, 3914, 268, 1464, 5119, 568, 1572, 1098, 1438, 19479, 540, 29491, 256, 623, 19991, 540, 14589, 689, 513, 16003, 8258, 8593, 883, 519, 8963, 267, 875, 798, 2232, 256, 681, 1087, 3049, 267, 5299, 543, 13594, 713, 15745, 883, 2659, 681, 7704, 5467, 568, 1939, 762, 538, 744, 630, 562, 3738, 30285, 5403, 513, 2560, 19790, 540, 4466, 519, 1098, 1438, 19479, 1210, 645, 12613, 1269, 312, 259, 540, 9635, 1862, 769, 9859, 11708, 568, 513, 595, 10030, 1982, 547, 2936, 713, 5690, 667, 330, 268, 272, 538, 519, 1483, 286, 1862, 6034, 539, 11708, 568, 513, 595, 10030, 1982, 547, 2936, 713, 5690, 538, 1931, 547, 1685, 29491, 1862, 476, 272, 568, 519, 7755, 659, 1890, 5119, 540, 717, 267, 1287, 630, 513, 594, 3738, 562, 568, 1862, 3962, 737, 628, 1900, 267, 649, 12337, 667, 330, 1210, 519, 9457, 14497, 267, 713, 31758, 547, 307, 630, 562, 2845, 19577, 269, 3962, 737, 628, 1900, 267, 649, 12337, 667, 330, 1210, 519, 1239, 689, 667, 330, 268, 272, 538, 519, 2063, 649, 256, 2311, 1034, 744, 630, 562, 2845, 562, 2695, 2130, 4238, 538, 744, 630, 562, 3738, 942, 2473, 1269, 5889, 19050, 382, 485, 663, 5889, 19050, 382, 485, 259, 1269, 256, 14348, 594, 28761, 3713, 519, 2179, 540, 20433, 267, 1519, 3728, 20433, 1098, 1438, 19479, 540, 513, 5119, 256, 8298, 2165, 547, 1098, 1438, 19479, 1210, 5119, 8691, 30424, 476, 272, 950, 661, 29996, 568, 11402, 267, 1287, 630, 513, 594, 562, 269, 744, 630, 562, 2845, 562, 2695, 2130, 4238, 538, 744, 630, 562, 303, 946, 519, 1249, 602, 3113, 256, 9457, 14497, 267, 713, 31758, 547, 307, 630, 562, 1299, 1948, 1535, 6734, 289, 272, 6902, 286, 4946, 476, 274, 17447, 547, 519, 1966, 4466, 1421, 661, 3738, 581, 513, 9859, 3113, 7493, 1098, 1438, 19479, 1210, 5119, 8691, 7384, 1098, 1438, 19479, 5690, 1634, 267, 547, 1862, 1284, 777, 517, 6285, 540, 513, 3113, 814, 1044, 3254, 602, 713, 1505, 3340, 267, 1034, 269, 20539, 1182, 538, 513, 2016, 3113, 717, 269, 649, 666, 849, 581, 17223, 676, 2845, 562, 2695, 2130, 538, 1862, 634, 5690, 607, 7768, 540, 562, 3268, 1063, 5119, 8691, 543, 1098, 1438, 19479, 6799, 1360, 1862, 4982, 2526, 775, 1063, 5119, 8691, 1505, 540, 5899, 817, 523, 540, 259, 717, 1269, 529, 1031, 547, 1265, 519, 9883, 256, 589, 2016, 22051, 6316, 3113, 562, 2695, 2130, 4238, 538, 744, 630, 562, 3738, 942, 1098, 1438, 19479, 1210, 5119, 8691, 256, 3465, 757, 513, 1360, 1114, 1305, 540, 2591, 689, 1346, 1459, 538, 10053, 5276, 7223, 971, 256, 589, 941, 342, 6504, 19479, 729, 8810, 676, 674, 29531, 543, 2725, 9807, 267, 609, 1434, 1163, 657, 1431, 1519, 7127, 256, 2334, 9247, 519, 1966, 540, 4466, 519, 1098, 1438, 19479, 540, 259, 717, 1269, 26918, 645, 12613, 269, 1684, 562, 1405, 917, 713, 1249, 267, 621, 568, 513, 2619, 689, 14584, 594, 547, 795, 29571, 269, 22159, 5690, 267, 729, 3964, 538, 1390, 4267, 3635, 547, 1397, 30424, 19479, 543, 5786, 267, 607, 607, 256, 13648, 773, 3609, 713, 1797, 602, 9247, 519, 1966, 540, 7384, 519, 1098, 1438, 19479, 513, 1862, 645, 3738, 10026, 4238, 630, 552, 3052, 547, 957, 607, 623, 2975, 538, 519, 6073, 3254, 7612, 256, 2142, 17223, 676, 2845, 562, 2695, 2130, 4238, 538, 744, 630, 562, 303, 3254, 538, 7612, 476, 272, 1496, 476, 277, 907, 1422, 17484, 16766, 259, 1107, 4498, 12245, 12390, 3832, 14114, 3149, 523, 8734, 476, 275, 1412, 1321, 693, 476, 1691, 281, 4375, 2913, 513, 815, 476, 272, 269, 2672, 2310, 547, 2015, 1250, 5690, 607, 7768, 540, 562, 3268, 4238, 593, 14290, 616, 547, 269, 3776, 4388, 593, 1603, 1390, 4267, 6241, 795, 568, 20922, 676, 513, 594, 6902, 795, 540, 1862, 1677, 2780, 3163, 29571, 16510, 568, 513, 2462, 22920, 24049, 547, 713, 681, 7704, 3049, 267, 5299, 13594, 1862, 25226, 4238, 593, 14290, 616, 4294, 547, 519, 1966, 540, 4466, 519, 1098, 1438, 19479, 1210, 5119, 8691, 540, 1079, 1269, 1862, 589, 594, 3738, 562, 476, 272, 568, 519, 2168, 1198, 540, 521, 14823, 3819, 585, 269, 1772, 3160, 547, 519, 1297, 540, 9343, 568, 3160, 547, 519, 1966, 540, 519, 269, 23990, 1634, 568, 1759, 593, 519, 5119, 630, 513, 594, 6902, 795, 1883, 883, 9232, 1945, 547, 6494, 513, 540, 1862, 8298, 334, 9736, 476, 1708, 271, 29571, 16510, 5549, 6902, 3593, 7418, 13931, 896, 524, 322, 676, 1606, 320, 3693, 513, 269, 634, 30424, 1063, 1098, 1438, 19479, 5690, 1634, 267, 1813, 547, 16189, 549, 267, 568, 1759, 593, 6902, 256, 1422, 17484, 16766, 259, 1107, 4498, 12245, 12390, 3832, 14114, 3149, 523, 8734, 476, 275, 1412, 1321, 693, 476, 1691, 281, 4375, 2913, 513, 2715, 256, 28171, 18159, 2608, 3738, 259, 607, 606, 3635, 630, 552, 3052, 281, 585, 9875, 256, 2473, 1422, 10383, 962, 1269, 2041, 519, 5119, 4611, 689, 519, 8691, 7127, 1141, 519, 3312, 717, 23511, 2986, 20433, 267, 1519, 3728, 20433, 811, 3608, 547, 6494, 513, 18239, 540, 5108, 9635, 610, 7372, 269, 28688, 932, 760, 13648, 773, 623, 978, 267, 15240, 3482, 1280, 623, 9874, 29158, 962, 7568, 267, 28234, 6732, 16790, 590, 749, 27294, 267, 918, 28240, 476, 3199, 341, 932, 1622, 1177, 1234, 10293, 20668, 267, 9537, 2986, 4469, 760, 15873, 267, 9537, 2986, 10965, 6260, 570, 4669, 956, 267, 9523, 4812, 5071, 518, 4518, 6503, 338, 267, 5440, 14986, 674, 23459, 6500, 267, 834, 29451, 1098, 1438, 19479, 1210, 5119, 8691, 2913, 721, 2161, 594, 993, 2016, 606, 5690, 602, 21410, 519, 1098, 1438, 19479, 540, 513, 2016, 3113, 259, 294, 815, 1422, 346, 966, 267, 661, 1422, 23201, 4208, 1281, 519, 674, 8150, 2154, 2027, 28431, 547, 957, 607, 623, 2975, 538, 519, 3345, 1977, 570, 268, 2764, 18858, 13568, 286, 1315, 17138, 630, 291, 17805, 10736, 609, 8940, 21993, 944, 342, 790, 2593, 7751, 313, 3709, 6359, 348, 815, 476, 272, 259, 604, 543, 1152, 952, 7445, 15927, 557, 324, 315, 3916, 1080, 3709, 330, 284, 272, 11892, 333, 311, 3709, 1731, 4153, 1633, 962, 3709, 330, 329, 4151, 604, 543, 1152, 952, 972, 568, 513, 259, 330, 22174, 1496, 333, 316, 259, 7945, 602, 259, 311, 3709, 1731, 348, 815, 476, 272, 259, 663, 259, 312, 3709, 330, 329, 348, 815, 476, 272, 259, 6518, 568, 519, 2013, 952, 543, 1152, 952, 972, 568, 513, 259, 330, 22174, 1496, 333, 316, 259, 7945, 602, 259, 263, 340, 10983, 267, 642, 17624, 264, 1422, 514, 661, 259, 663, 259, 263, 341, 17624, 267, 530, 19553, 264, 1422, 514, 661, 259, 6518, 568, 519, 2013, 952, 543, 1152, 952, 259, 3867, 28949, 264, 4151, 11004, 568, 513, 2619, 538, 259, 294, 259, 5228, 259, 340, 10983, 259, 1729, 259, 342, 19553, 259, 663, 8754, 259, 263, 340, 10983, 267, 530, 19553, 264, 1422, 514, 661, 262, 10608, 634, 1655, 1098, 1438, 19479, 5690, 1634, 267, 1813, 547, 16189, 549, 267, 568, 1759, 593, 519, 5119, 8691, 1505, 540, 5899, 817, 523, 269, 9948, 634, 5119, 667, 271, 568, 519, 3312, 3113, 717, 269, 1284, 666, 1589, 540, 519, 5690, 607, 7768, 540, 715, 3268, 269, 2913, 589, 2041, 519, 7755, 659, 1890, 5119, 540, 930, 3113, 717, 269, 3973, 630, 288, 266, 296, 264, 333, 568, 519, 1098, 1438, 19479, 540, 717, 269, 4595, 649, 723, 513, 570, 3799, 264, 5690, 585, 645, 12613, 267, 649, 666, 12337, 630, 288, 266, 594, 264, 333, 1210, 2845, 985, 15471, 633, 2695, 541, 902, 540, 589, 266, 594, 514, 744, 24867, 3799, 264, 331, 1758, 264, 942, 269, 1284, 1397, 602, 1010, 1505, 3340, 693, 1034, 744, 3799, 10382, 7790, 286, 1315, 293, 1428, 476, 278, 476, 271, 681, 3135, 1374, 1315, 20446, 9736, 476, 1708, 271, 29571, 16510, 5549, 282, 3593, 7418, 13931, 896, 524, 322, 676, 1606, 320, 269, 1315, 24478, 528, 630, 4178, 21993, 944, 342, 790, 2593, 264, 6697, 547, 29491, 5119, 8691, 630, 289, 12613, 1040, 476, 4649, 277, 476, 4649, 277, 476, 29900, 476, 4343, 280, 476, 18357, 476, 4649, 277, 476, 4335, 476, 278, 2420, 476, 4335, 476, 4335, 476, 29900, 476, 4375, 275, 476, 13136, 476, 4375, 275, 476, 26392, 476, 278, 4281, 4208, 286, 2506, 2869, 673, 2090, 540, 1098, 1438, 19479, 2560, 901, 3914, 268, 1464, 5119, 568, 1572, 1098, 1438, 19479, 540, 513, 3113, 269, 1548, 1281, 621, 1611, 547, 968, 4486, 883, 892, 1945, 286, 23990, 10670, 476, 272, 11053, 820, 5021, 1297, 540, 9136, 607, 3403, 269, 1315, 290, 516, 566, 14630, 630, 291, 281, 1220, 3445, 279, 25172, 3199, 278, 1724, 266, 6349, 262, 876, 10807, 23037, 676, 281, 5440, 966, 6838, 269, 901 ]

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

[ 275, 348, 303, 3867, 273, 10592, 5976, 7862, 950, 835, 814, 606, 568, 30801, 1318, 6906, 780, 30607, 19577, 780, 22428, 513, 6906, 814, 7953, 540, 3259, 1269, 343, 259, 543, 1269, 344, 10608, 3973, 922, 30494, 814, 3259, 4399, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 8961, 865, 519, 15943, 568, 2016, 607, 692, 1269, 303, 24210, 20742, 10954, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 269, 6911, 763, 1858, 267, 540, 1576, 267, 568, 692, 1269, 288, 7807, 2765, 346, 272, 2410, 273, 348, 15383, 269, 6911, 2171, 1616, 547, 11694, 1269, 288, 259, 1641, 547, 519, 23061, 602, 1269, 303, 259, 581, 3586, 269, 901, 1797, 602, 519, 13506, 540, 1269, 288, 259, 786, 581, 14354, 547, 519, 13506, 540, 1269, 303, 10608, 2334, 568, 547, 2161, 267, 585, 930, 3586, 4399, 14433, 8961, 649, 786, 723, 692, 4399, 6234, 21702, 3189, 14783, 589, 7346, 14783, 1535, 4151, 4399, 6234, 284, 259, 4399, 6234, 315, 14433, 21702, 3189, 14783, 623, 7346, 14783, 1535, 4151, 4399, 6234, 21702, 3189, 14783, 589, 7346, 14783, 586, 4151, 4399, 6234, 284, 259, 4399, 6234, 315, 14433, 21702, 3189, 14783, 623, 7346, 14783, 586, 10592, 29310, 609, 519, 23061, 267, 891, 1106, 513, 1062, 540, 1614, 4834, 585, 519, 1614, 9424, 1269, 343, 8961, 1269, 344, 8961, 543, 4399, 14433, 10608, 5675, 873, 856, 12799, 10484, 4399, 6234, 21702, 346, 272, 2410, 273, 348, 344, 259, 4399, 6234, 284, 259, 4399, 6234, 315, 14433, 13375, 263, 272, 10954, 2765, 12757, 7346, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 4153, 2431, 7751, 4399, 6234, 21702, 346, 272, 2410, 273, 26507, 259, 4399, 6234, 284, 259, 4399, 6234, 315, 14433, 13375, 263, 272, 10954, 2765, 26635, 7346, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 4153, 2431, 7751, 4399, 6234, 623, 259, 4399, 6234, 284, 259, 4399, 6234, 1535, 20742, 10954, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 32556, 8253, 602, 649, 3112, 723, 4399, 14433, 284, 271, 259, 1317, 602, 1131, 1611, 602, 782, 5011, 540, 938, 6906, 1131, 723, 4642, 3259, 269, 9747, 267, 649, 949, 9004, 4399, 14433, 259, 1063, 519, 1101, 1079, 4834, 547, 3489, 692, 1269, 343, 13375, 263, 272, 10954, 2765, 12757, 7346, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 4153, 2431, 6661, 344, 13375, 263, 272, 10954, 2765, 26635, 7346, 6912, 12757, 3867, 273, 15396, 344, 3867, 260, 476, 273, 3686, 4153, 2431, 1070, 6911, 6518, 949, 581, 26203, 547, 6556, 692, 18159, 343, 3917, 9385, 3847, 263, 272, 10954, 2765, 12757, 20742, 7346, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 4153, 2431, 6661, 271, 269, 6911, 2171, 723, 1079, 2013, 547, 2015, 2443, 2901, 519, 1101, 3815, 610, 519, 2034, 3815, 949, 3160, 4642, 269, 1403, 519, 2034, 3815, 11224, 4642, 10484, 1269, 272, 10954, 2765, 12757, 20742, 7346, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 13157, 271, 267, 6911, 332, 913, 519, 968, 272, 892, 547, 519, 824, 2427, 540, 519, 3830, 543, 3444, 2173, 738, 17586, 547, 3489, 692, 1269, 343, 20742, 284, 10559, 6912, 12757, 3867, 273, 15396, 344, 3867, 273, 3686, 269, 6911, 7712, 649, 1616, 1269, 343, 315, 28254, 476, 271, 259, 543, 1269, 344, 315, 28254, 476, 271, 259, 855, 519, 1318, 11804, 2427, 568, 1875, 25698, 267, 519, 1152, 4781, 1131, 581, 547, 723, 513, 2468, 534, 14410, 540, 4642, 1858, 269, 634, 824, 7872, 729, 547, 723, 519, 2034, 3815, 3160, 4642, 267, 799, 1131, 2285, 692, 1269, 343, 3917, 284, 271, 269, 6911, 1103, 713, 2013, 267, 1269, 343, 259, 11224, 1269, 344, 10608, 1955, 19397, 713, 2783, 593, 519, 23061, 267, 649, 1294, 602, 692, 1269, 303, 14352, 273, 10954, 6912, 346, 273, 16585, 343, 267, 6911, 810, 649, 723, 519, 3070, 692, 4399, 6234, 1535, 259, 4399, 6234, 284, 259, 4399, 6234, 21702, 346, 303, 2410, 273, 10954, 6912, 346, 273, 3686, 7807, 2765, 346, 273, 10559, 6912, 346, 273, 12453, 273, 348, 303, 259, 4399, 6234, 586, 259, 4399, 6234, 284, 259, 4399, 6234, 21702, 346, 303, 2410, 273, 10954, 6912, 346, 273, 3686, 7807, 2765, 346, 273, 10559, 6912, 346, 273, 12453, 273, 348, 303, 269, 6911, 17138, 3808, 593, 1858, 540, 1318, 6906, 21940, 4002, 22704, 8170, 14738, 31590, 4120, 476, 1001, 274, 268, 6734, 268, 2420, 476, 1626, 281, 1789, 281, 6078, 476, 1001, 274, 268, 6734, 268, 2420, 476, 1626, 281, 1789, 281, 6078, 678, 4944, 15120, 1470, 630, 2568, 278, 276, 264, 678, 4944, 15120, 1470, 630, 2568, 278, 276, 264, 476, 1704, 678, 4944, 15120, 1470, 630, 2568, 278, 276, 264, 14497, 544, 2675, 476, 7906, 268, 876 ]

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

[ 8340, 3799, 994, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 26509, 542, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 9769, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 269, 8588, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 4448, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 2132, 9769, 22710, 267, 4448, 22710, 692, 3698, 2656, 318, 684, 542, 15305, 3799, 2187, 825, 1449, 815, 16797, 4462, 542, 3799, 994, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 26509, 542, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 9769, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 269, 8588, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 4448, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 2132, 9769, 22710, 267, 4448, 22710, 692, 3698, 22051, 318, 638, 1157, 318, 684, 542, 15305, 3799, 2187, 825, 1449, 815, 13379, 539, 30022, 4462, 542, 3799, 994, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 26509, 542, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 9769, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 269, 8588, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 4448, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 2132, 9769, 22710, 267, 4448, 22710, 692, 3698, 22051, 318, 638, 1157, 318, 684, 542, 318, 5976, 24786, 318, 4818, 1833, 15305, 3799, 2187, 825, 1449, 815, 13379, 539, 30022, 4462, 542, 4415, 26073, 15253, 1833, 3799, 994, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 26509, 542, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 9769, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 585, 1775, 538, 2039, 263, 271, 267, 562, 2187, 1038, 1449, 269, 8588, 9217, 267, 4351, 27110, 9217, 267, 562, 268, 272, 4917, 825, 4448, 22710, 815, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 454, 825, 2132, 9769, 22710, 267, 4448, 22710, 7531, 3698, 1205, 318, 5632, 322, 22710, 6600, 15635, 267, 942, 318, 3916, 527, 2187, 825, 1267, 272, 815, 11713, 825, 1267, 273, 815, 11713, 825, 1376, 318, 5632, 322, 815, 942, 269, 15263, 22710, 4590, 825, 1775, 815, 476, 1911, 454, 825, 1247, 942, 269, 15263, 22710, 3890, 268, 11034, 318, 5632, 322, 2999, 942, 318, 3916, 527, 912, 1038, 1775, 815, 1775, 266, 272, 454, 1038, 630, 684, 542, 22710, 267, 4448, 22710, 264, 815, 30775, 9217, 994, 1038, 1267, 272, 6910, 263, 684, 542, 22710, 994, 1038, 1267, 273, 6910, 263, 8588, 22710, 994, 825, 2132, 1267, 272, 267, 1267, 273, 692, 3698, 2196, 318, 663, 318, 7120, 10031, 825, 5727, 305, 684, 1299, 4729, 12163, 825, 630, 7120, 272, 267, 4729, 273, 264, 815, 1205, 318, 5632, 322, 22710, 263, 638, 1157, 6958, 785, 15305, 267, 476, 5611, 994, 825, 630, 7120, 274, 267, 4729, 275, 264, 815, 1205, 318, 5632, 322, 22710, 263, 638, 1157, 318, 684, 542, 15305, 267, 476, 5611, 994, 825, 630, 7120, 276, 267, 4729, 277, 264, 815, 1205, 318, 5632, 322, 22710, 263, 7076, 539, 318, 638, 1157, 318, 684, 542, 15305, 267, 476, 5611, 994, 825, 630, 7120, 278, 267, 4729, 279, 264, 815, 1205, 318, 5632, 322, 22710, 263, 7076, 539, 318, 638, 1157, 318, 684, 542, 318, 5976, 24786, 318, 4818, 1833, 15305, 267, 476, 5611, 994, 8931, 825, 12301, 19502, 263, 7120, 272, 267, 6003, 6889, 30022, 4855, 5742, 5384, 5602, 825, 12301, 19502, 263, 7120, 273, 267, 6003, 6889, 30022, 4855, 4045, 539, 5384, 5602, 825, 12301, 19502, 263, 7120, 274, 267, 6003, 6889, 30022, 5742, 5742, 5384, 5602, 825, 12301, 19502, 263, 7120, 275, 267, 6003, 6889, 30022, 5742, 4045, 539, 5384, 5602, 825, 12301, 19502, 263, 7120, 276, 267, 6003, 6889, 26574, 539, 16797, 5742, 5742, 5384, 5602, 825, 12301, 19502, 263, 7120, 277, 267, 6003, 6889, 26574, 539, 16797, 5742, 4045, 539, 5384, 5602, 825, 12301, 19502, 263, 7120, 278, 267, 6003, 6889, 26574, 539, 16797, 5742, 11202, 3281, 1833, 5742, 5384, 5602, 825, 12301, 19502, 263, 7120, 279, 267, 6003, 6889, 26574, 539, 16797, 5742, 11202, 3281, 1833, 4045, 539, 5384, 15419, 825, 12301, 6745, 697, 9078, 599, 719, 4590, 825, 12301, 269, 5586, 754, 4590, 825, 12301, 20481, 10797, 3698, 1449, 318, 2745, 10031, 825, 1820, 3488, 30022, 8340, 5073, 825, 1449, 272, 815, 16797, 8340, 263, 1015, 994, 825, 1449, 272, 26509, 542, 263, 274, 267, 476, 275, 994, 825, 1449, 272, 26509, 542, 263, 274, 267, 476, 279, 994, 825, 1449, 272, 26509, 542, 263, 274, 267, 476, 271, 994, 825, 1820, 6025, 652, 272, 269, 8588, 263, 273, 267, 476, 274, 4917, 825, 1820, 6025, 652, 272, 269, 8588, 263, 275, 267, 476, 274, 4917, 825, 1820, 6025, 652, 272, 269, 1551, 2020, 825, 1820, 3488, 30022, 4462, 542, 5073, 825, 1449, 273, 815, 16797, 4462, 542, 263, 1015, 994, 825, 1449, 273, 26509, 542, 263, 274, 267, 476, 275, 994, 825, 1449, 273, 26509, 542, 263, 274, 267, 476, 279, 994, 825, 1449, 273, 26509, 542, 263, 274, 267, 476, 271, 994, 825, 1820, 6025, 652, 273, 269, 8588, 263, 273, 267, 476, 274, 4917, 825, 1820, 6025, 652, 273, 269, 8588, 263, 275, 267, 476, 274, 4917, 825, 1820, 6025, 652, 273, 269, 1551, 2020, 825, 1820, 3488, 26574, 539, 30022, 4462, 542, 5073, 825, 1449, 274, 815, 13379, 539, 30022, 4462, 542, 263, 1015, 994, 825, 1449, 274, 26509, 542, 263, 274, 267, 476, 275, 994, 825, 1449, 274, 26509, 542, 263, 274, 267, 476, 279, 994, 825, 1449, 274, 26509, 542, 263, 274, 267, 476, 271, 994, 825, 1820, 6025, 652, 274, 269, 8588, 263, 273, 267, 476, 274, 4917, 825, 1820, 6025, 652, 274, 269, 8588, 263, 275, 267, 476, 274, 4917, 825, 1820, 6025, 652, 274, 269, 1551, 994, 825, 1820, 6025, 652, 274, 269, 1551, 318, 933, 580, 2195, 2020, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 952, 7003, 4433, 903, 27769, 341, 264, 3436, 476, 272, 912, 1038, 1820, 3488, 301, 2100, 26571, 17210, 825, 2196, 318, 663, 318, 7120, 4590, 672, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 323, 815, 2715, 257, 273, 9899, 257, 29582, 14824, 274, 9899, 257, 3698, 14824, 275, 9899, 257, 724, 328, 14824, 276, 9899, 257, 329, 9383, 14824, 277, 9899, 257, 332, 7224, 14824, 278, 9899, 257, 335, 336, 3464, 14824, 279, 9899, 257, 339, 12320, 14824, 280, 9899, 257, 342, 15383, 345, 257, 10926, 3698, 4484, 23382, 5209, 5560, 580, 1080, 2567, 1363, 3097, 825, 759, 815, 1496, 3269, 2639, 825, 585, 1775, 538, 9704, 912, 1038, 952, 1775, 538, 546, 912, 2018, 952, 1775, 538, 546, 912, 3546, 512, 815, 11713, 3546, 585, 524, 538, 546, 5157, 14158, 7386, 585, 521, 538, 759, 281, 4449, 454, 13376, 512, 6834, 1496, 338, 1341, 1193, 6262, 22708, 3546, 759, 815, 512, 454, 825, 2132, 759, 952, 9704, 3116, 29129, 8931, 2018, 692, 2745, 263, 12072, 23382, 5209, 2891, 273, 8442, 2020, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 18851, 289, 2435, 3406, 12163, 1029, 10461, 1029, 815, 834, 31718, 590, 4840, 1029, 322, 9728, 1029, 815, 834, 290, 641, 1803, 1111, 5016, 5814, 19523, 7531, 5035, 23030, 15507, 1384, 825, 1219, 9612, 4311, 267, 2855, 267, 1883, 2187, 1038, 3138, 815, 476, 271, 454, 1038, 28624, 815, 7003, 19906, 994, 1038, 1247, 3138, 10922, 28624, 912, 2018, 4571, 815, 3138, 1341, 703, 9230, 6062, 910, 5979, 8358, 273, 994, 2018, 952, 1883, 2999, 2855, 314, 13232, 14158, 3546, 28624, 815, 4571, 910, 476, 272, 454, 2018, 8640, 1883, 3436, 2855, 314, 13232, 14158, 3546, 3138, 815, 4571, 1341, 476, 272, 454, 2018, 3116, 912, 3546, 2132, 4571, 454, 1038, 2132, 910, 272, 692, 5035, 8422, 11764, 16360, 2435, 15507, 2187, 825, 1219, 9612, 16248, 301, 4548, 4311, 267, 2855, 267, 1883, 2187, 1038, 759, 815, 11713, 1038, 585, 1775, 538, 2039, 263, 271, 267, 7003, 19906, 15892, 2018, 585, 795, 538, 2039, 9217, 267, 7003, 19906, 15892, 3546, 967, 815, 1582, 2529, 2514, 19906, 267, 1883, 910, 476, 272, 2608, 630, 1551, 5157, 316, 1341, 2855, 14728, 28413, 3546, 952, 967, 3436, 910, 272, 912, 7386, 759, 6910, 8443, 1551, 5157, 3910, 2855, 14728, 3910, 2855, 314, 785, 316, 7481, 1038, 2132, 759, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 952, 7003, 4433, 903, 27769, 341, 264, 3436, 476, 272, 912, 1038, 1820, 3488, 301, 2100, 26571, 17210, 825, 512, 272, 815, 23030, 15507, 10797, 825, 2855, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 6434, 267, 476, 1911, 267, 476, 6200, 267, 476, 10755, 267, 476, 15836, 267, 476, 1708, 267, 476, 31746, 267, 476, 22001, 274, 267, 476, 4335, 271, 267, 476, 10384, 273, 2639, 825, 4994, 815, 512, 272, 2529, 2514, 19906, 267, 476, 31746, 2020, 825, 1820, 263, 8161, 994, 825, 1820, 19906, 27709, 20285, 825, 512, 273, 815, 8422, 11764, 10797, 825, 15358, 815, 512, 273, 2529, 2514, 16248, 301, 4548, 19906, 267, 476, 2004, 279, 2020, 825, 1820, 25225, 2020, 0, 5228, 19523, 1104, 588, 19734, 692, 341, 578, 601, 23952, 815, 834, 2801, 328, 537, 2801, 328, 537, 2801, 328, 537, 2801, 328, 537, 2801, 328, 537, 4840, 4621, 517, 656, 23952, 815, 834, 25900, 4206, 724, 329, 9383, 332, 12639, 336, 337, 560, 341, 342, 15383, 345, 25900, 4206, 724, 329, 9383, 332, 12639, 336, 337, 560, 341, 342, 15383, 345, 5016, 454, 3698, 17278, 9272, 2187, 16596, 3403, 7531, 258, 22873, 658, 851, 585, 3478, 519, 3044, 3403, 454, 3698, 1205, 17750, 263, 1467, 284, 560, 19734, 2187, 453, 6783, 815, 11713, 14851, 1899, 11203, 588, 19734, 912, 453, 453, 1467, 815, 1899, 21858, 19629, 333, 5602, 22610, 561, 538, 1899, 912, 453, 453, 6783, 6910, 10857, 994, 16596, 5044, 19638, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 6358, 815, 1205, 17750, 2891, 273, 14826, 9346, 1314, 315, 3534, 12711, 5602, 13537, 9272, 994, 0, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 1985, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 12785, 815, 1985, 692, 5035, 8827, 912, 825, 1219, 19467, 10521, 299, 1235, 4311, 267, 561, 272, 281, 5903, 11966, 267, 561, 273, 281, 5903, 11966, 264, 9847, 5903, 11966, 912, 1038, 561, 274, 815, 5903, 11966, 4590, 1038, 561, 275, 815, 561, 274, 22322, 1038, 1948, 952, 561, 272, 543, 561, 273, 2291, 454, 1038, 1247, 561, 272, 543, 561, 273, 912, 2018, 952, 561, 272, 22183, 10922, 561, 273, 22183, 912, 3546, 561, 274, 22183, 815, 561, 272, 22183, 454, 3546, 561, 274, 12785, 815, 5903, 11966, 4590, 3546, 561, 274, 815, 561, 274, 12785, 454, 3546, 561, 272, 815, 561, 272, 12785, 454, 2018, 3116, 912, 3546, 561, 274, 22183, 815, 561, 273, 22183, 454, 3546, 561, 274, 12785, 815, 5903, 11966, 4590, 3546, 561, 274, 815, 561, 274, 12785, 454, 3546, 561, 273, 815, 561, 273, 12785, 454, 1038, 1948, 952, 1152, 561, 272, 2291, 454, 1038, 952, 561, 272, 912, 2018, 1247, 561, 272, 912, 3546, 561, 274, 22183, 815, 561, 272, 22183, 454, 3546, 561 ]

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

[ 3111, 31383, 8244, 267, 972, 568, 513, 991, 585, 2789, 1949, 547, 581, 2111, 547, 1569, 519, 1482, 1305, 540, 3060, 12415, 693, 519, 1482, 942, 563, 2414, 2626, 713, 3747, 267, 570, 4338, 9755, 2919, 513, 1007, 1899, 540, 570, 4338, 338, 267, 1634, 607, 20344, 570, 4338, 338, 267, 799, 1683, 15287, 547, 519, 1482, 3060, 10126, 585, 2789, 1949, 8195, 563, 8802, 523, 3130, 570, 4338, 338, 7001, 6808, 689, 513, 2582, 3060, 10126, 267, 26134, 519, 19670, 21168, 267, 543, 3560, 873, 547, 2789, 3977, 16788, 269, 901, 2636, 519, 8668, 23070, 547, 7001, 6808, 689, 835, 10126, 540, 519, 3060, 543, 6494, 621, 547, 2789, 2645, 693, 519, 1482, 942, 563, 2690, 1804, 16904, 2348, 2789, 6887, 585, 1114, 8668, 3252, 267, 513, 20344, 570, 4338, 568, 513, 4745, 10421, 1317, 789, 666, 782, 2048, 5408, 685, 519, 1482, 1239, 693, 519, 1482, 942, 269, 1358, 666, 8195, 6895, 6808, 593, 1271, 6402, 609, 2789, 3354, 543, 6808, 2359, 2645, 543, 666, 849, 30136, 519, 1239, 538, 1483, 6066, 563, 5415, 827, 634, 7756, 9537, 540, 8416, 570, 4338, 338, 1934, 563, 15650, 540, 9012, 538, 570, 4338, 338, 454, 30509, 689, 519, 15285, 538, 570, 4338, 338, 2687, 547, 741, 4835, 1374, 267, 570, 4338, 338, 666, 849, 581, 11008, 2213, 2687, 547, 519, 2010, 540, 2923, 789, 666, 581, 8704, 593, 547, 269, 1452, 1079, 2010, 540, 2923, 616, 7601, 543, 9804, 6775, 563, 293, 9200, 19945, 6776, 2861, 570, 4338, 338, 946, 9804, 8237, 1562, 547, 8237, 519, 19670, 8955, 1769, 883, 1079, 26134, 12535, 267, 609, 835, 540, 873, 5497, 585, 519, 5464, 2823, 269, 27438, 23726, 570, 4338, 338, 616, 5631, 12809, 538, 2470, 267, 799, 1797, 789, 798, 711, 2154, 1022, 5907, 5547, 787, 543, 798, 711, 4096, 593, 1022, 1379, 2707, 610, 11251, 3301, 563, 290, 32111, 2861, 570, 4338, 338, 2705, 798, 2154, 5907, 5547, 787, 543, 991, 4835, 8800, 543, 3301, 547, 1599, 269, 0, 2026, 513, 1259, 547, 917, 519, 4644, 540, 7260, 31515, 267, 835, 1590, 1101, 5431, 621, 568, 2965, 513, 6310, 6041, 540, 713, 5163, 540, 5201, 267, 3364, 543, 519, 4229, 602, 4482, 891, 1318, 883, 4742, 269, 898, 568, 7150, 602, 1404, 4752, 31515, 616, 3808, 1652, 538, 7274, 543, 2781, 553, 6804, 563, 300, 2660, 666, 581, 513, 1689, 538, 922, 5163, 610, 5201, 630, 292, 815, 26818, 273, 1070, 602, 786, 581, 15452, 538, 1915, 269, 1809, 519, 4644, 540, 519, 8360, 2108, 332, 913, 618, 2108, 1175, 3884, 1406, 2108, 4219, 540, 21755, 2108, 855, 849, 519, 30729, 540, 4287, 563, 21902, 338, 540, 13590, 3196, 1711, 6323, 31515, 540, 1576, 267, 538, 519, 2680, 602, 596, 666, 9305, 621, 883, 707, 2013, 267, 596, 1590, 1174, 922, 2495, 269, 898, 568, 1346, 602, 666, 2014, 606, 11460, 602, 2170, 543, 666, 1796, 676, 3294, 563, 290, 1162, 540, 21755, 971, 607, 5082, 11424, 10414, 602, 786, 3132, 2339, 616, 1634, 607, 6329, 269, 1284, 616, 2111, 547, 2014, 891, 6329, 676, 8108, 2178, 14768, 799, 666, 1847, 609, 519, 8574, 540, 942, 543, 666, 2097, 609, 1142, 824, 547, 3132, 6419, 1379, 543, 666, 5838, 3002, 543, 6846, 543, 5201, 563, 763, 717, 268, 4403, 602, 649, 2731, 1745, 689, 824, 1804, 3688, 971, 607, 519, 3618, 568, 1634, 607, 519, 3400, 13901, 1379, 2059, 609, 519, 25162, 547, 519, 2165, 2108, 12304, 675, 2108, 814, 1044, 6964, 269, 1677, 721, 933, 1745, 602, 519, 717, 268, 4403, 602, 568, 1373, 2813, 1184, 540, 1603, 513, 1382, 1957, 689, 519, 2527, 540, 519, 4541, 269, 1284, 8415, 713, 1808, 4845, 593, 1896, 1114, 2238, 543, 596, 786, 1265, 1082, 2238, 799, 666, 581, 3812, 689, 971, 513, 1808, 2165, 267, 1519, 13941, 606, 20987, 563, 24836, 6143, 568, 513, 1379, 799, 6818, 538, 938, 7122, 602, 3947, 721, 519, 12588, 4585, 891, 2962, 543, 849, 547, 1694, 538, 519, 4541, 779, 2627, 543, 2488, 519, 1379, 269, 1284, 723, 4362, 602, 621, 568, 519, 7852, 540, 519, 11626, 3196, 799, 6411, 2390, 930, 824, 1843, 602, 568, 3544, 563, 16978, 668, 24599, 1143, 827, 519, 6587, 1688, 568, 513, 3350, 540, 17694, 602, 7472, 1769, 267, 3002, 543, 1256, 5201, 269, 901, 568, 711, 563, 8448, 7060, 616, 782, 18190, 17086, 267, 799, 1331, 7167, 659, 13330, 267, 2604, 267, 4432, 2880, 640, 267, 32322, 267, 5487, 2897, 779, 17817, 267, 3092, 1421, 547, 2446, 513, 7008, 563, 763, 3350, 540, 2339, 568, 2219, 540, 607, 8904, 543, 568, 269, 898, 568, 513, 1267, 540, 519, 3167, 3196, 269, 25392, 1312, 2731, 616, 4352, 8904, 568, 1175, 513, 12343, 540, 519, 3196, 267, 543, 5094, 11479, 267, 789, 5291, 2517, 4178, 12459, 7897, 8725, 764, 12975, 270, 12671, 270, 336, 788, 270, 336, 788, 1922, 1400, 15005, 5749, 1406, 519, 1482, 3364, 563, 16978, 11424, 6052, 602, 11710, 689, 5536, 971, 607, 9211, 786, 581, 1018, 649, 3589, 5397, 610, 519, 1648, 269, 901, 949, 581, 519, 6574, 1648, 602, 5170, 547, 581, 2813, 538, 519, 7122, 607, 621, 568, 17941, 2108, 12895, 1379, 2108, 563, 2467, 616, 4229, 602, 2014, 2339, 547, 1847, 267, 855, 602, 568, 519, 476, 272, 269, 1284, 946, 519, 4214, 540, 685, 30335, 8072, 547, 12172, 891, 4229, 799, 666, 581, 2813, 543, 849, 4061, 616, 3318, 516, 14142, 17549, 32392, 2593, 9706, 10107, 5346, 8584, 2389, 8084, 16519, 3917, 712, 268, 30261, 3146, 14142, 1790, 1653, 270, 1018, 649, 1289, 685, 30335, 8072, 563, 2005, 568, 1934, 1631, 602, 649, 917, 4010, 519, 4644, 540, 519, 1913, 281, 2108, 23875, 1223, 2291, 1510, 1945, 269, 13445, 267, 6052, 543, 17086, 269, 1703, 568, 1100, 4641, 267, 1100, 9637, 267, 1100, 1272, 267, 1100, 22556, 543, 1100, 2972, 269, 0, 289, 12864, 782, 2200, 454, 1607, 2985, 2488, 1569, 547, 782, 519, 1344, 2200, 593, 519, 715, 21201, 8892, 3896, 269, 25873, 519, 3003, 32562, 2630, 610, 2824, 835, 610, 811, 3584, 543, 5705, 641, 923, 689, 519, 1592, 693, 2451, 547, 16590, 1524, 998, 519, 4015, 563, 1607, 4760, 2376, 6257, 513, 5691, 1379, 2030, 11460, 602, 10905, 26740, 21369, 2842, 3484, 2504, 609, 535, 15256, 4390, 6383, 676, 1507, 547, 5420, 13355, 26119, 269, 634, 4589, 1336, 602, 519, 5916, 1062, 6035, 1896, 5383, 1519, 4824, 2804, 2773, 267, 8112, 267, 543, 10727, 563, 763, 4589, 540, 713, 4760, 2376, 15974, 513, 6046, 7791, 1648, 5610, 630, 301, 3918, 296, 264, 1062, 602, 16621, 6046, 543, 2842, 19367, 538, 4999, 609, 1164, 27529, 9252, 14793, 3974, 630, 295, 4811, 292, 264, 547, 6556, 7250, 269, 634, 6046, 5057, 568, 6719, 676, 513, 1507, 22606, 3154, 2275, 944, 539, 19720, 269, 634, 4589, 5635, 519, 9297, 540, 1614, 2665, 281, 6046, 1379, 2030, 267, 6046, 543, 2842, 10687, 321, 1441, 9744, 267, 543, 513, 6046, 2914, 785, 31622, 4088, 2504, 9744, 267, 1210, 17783, 1446, 5201, 5777, 543, 2344, 2175, 689, 519, 623, 297, 300, 632, 29970, 543, 519, 11068, 4211, 14931, 2344, 32387, 563, 1607, 1957, 15109, 513, 13598, 8143, 1648, 4859, 630, 307, 2464, 264, 1062, 607, 513, 27164, 7257, 547, 606, 4540, 6046, 1379, 2030, 538, 519, 2136, 2276, 630, 307, 1410, 553, 1040, 634, 4589, 946, 513, 24019, 623, 4041, 311, 5308, 2203, 540, 519, 11272, 4039, 6636, 7027, 540, 7147, 3167, 7470, 547, 18082, 5201, 2344, 21757, 538, 476, 10711, 271, 269, 1358, 946, 1614, 7653, 540, 2067, 3154, 3902, 23004, 609, 513, 13745, 4390, 7269, 2203, 547, 18082, 519, 17293, 540, 12721, 4066, 563, 1607, 4760, 2376, 6799, 1079, 10316, 1648, 1062, 630, 295, 2464, 264, 3631, 269, 2290, 267, 17941, 2757, 267, 7472, 5201, 1152, 543, 5161, 540, 513, 3119, 3002, 11718, 267, 513, 9252, 17081, 11718, 267, 513, 2842, 3484, 543, 513, 6007, 4859, 269, 634, 824, 267, 17941, 4359, 267, 2882, 519, 3334, 1459, 538, 519, 2757, 2203, 855, 849, 513, 3114, 2030, 1950, 547, 1065, 17123, 4430, 1648, 585, 1875, 3887, 10431, 640, 2533, 267, 971, 607, 585, 6721, 3114, 5370, 563, 1607, 4760, 2376, 9607, 3002, 4859, 13745, 6046, 26119, 267, 799, 666, 1683, 7006, 2255, 762, 5201, 1247, 5665, 693, 2407, 1379, 269, 14520, 5049, 540, 3002, 4859, 4066, 7008, 547, 1769, 21226, 26119, 609, 9252, 9979, 269, 9605, 321, 4459, 18650, 268, 3891, 730, 6052, 19554, 630, 293, 7644, 2464, 264, 17838, 1970, 17376, 823, 5201, 883, 1164, 27529, 6740, 3002, 585, 2872, 610, 1379, 269, 674, 7644, 2464, 543, 15839, 973, 10967, 2209, 13745, 547, 6046, 645, 2001, 2023, 1379, 9979, 949, 5512, 1164, 27529, 26119, 547, 4444, 5201, 950, 5777, 616, 1970, 543, 6133, 5201, 693, 2362, 3902, 267, 2687, 547, 519, 4589, 563, 1607, 4760, 2376, 3877, 519, 5610, 1523, 540, 3859, 22425, 923, 883, 513, 1507, 6046, 1379, 2030, 269, 634, 1523, 849, 3877, 519, 1909, 540, 8143, 1648, 4859, 538, 519, 10316, 2030, 269, 0, 26397, 11261, 281, 5181, 476, 6187, 267, 476, 1001, 273, 454, 26581, 787, 281, 4825, 841, 1299, 19901, 6153, 338, 454, 26581, 787, 281, 8551, 1299, 9177, 454, 13126, 281, 12370, 6355, 3427, 454, 7712, 519, 5137, 540, 519, 1101, 2756, 690, 877, 1949, 538, 519, 476, 3192, 271, 338, 267, 519, 2756, 690, 877, 2872, 814, 22734, 3875, 14759, 607, 1007, 4066, 543, 2344, 1303, 7847, 21739, 4957, 519, 11080, 1995, 540, 5561, 269, 769, 519, 2038, 476, 2641, 560, 2540, 267, 5561, 3459, 17034, 3756, 1510, 519, 946, 540, 513, 2168, 11080, 23641, 267, 2901, 998, 741, 5985, 3457, 267, 610, 5051, 267, 998, 519, 834, 743, 3716, 257, 1141, 5561, 1223, 1404, 2756, 690, 1868, 998, 16887, 13087, 3457, 1510, 519, 991, 585, 513, 2168, 3014, 23641, 610, 3014, 12210, 269, 1215, 1522, 519, 6531, 1764, 519, 6384, 540, 519, 2872, 286, 0, 15507, 532, 585, 281, 19461, 6500, 538, 25007, 454, 5825, 539, 547, 1711, 606, 1843, 3236, 689, 513, 1362, 630, 13318, 656, 5573, 1916, 1103, 615, 13330, 568, 1031, 547, 27836, 1776, 1362, 262, 2818, 267, 1519, 4610, 543, 2409, 269, 589, 1016, 1362, 11498, 513, 2706, 1362, 262, 2818, 563, 288, 4020, 528, 568, 513, 2027, 1505, 602, 13976, 519, 1843, 950, 513, 1007, 1843, 568, 2813, 563, 288, 9074, 3568, 2409, 543, 4610, 585, 946, 950, 30418, 513, 1362, 563, 9202, 8525, 3436, 0, 307, 514, 14716, 2810, 454, 307, 514, 568, 1851, 519, 9510, 8407, 2938, 547, 3425, 799, 568, 1572, 835, 540, 1896, 2596, 2609, 538, 519, 13350, 3349, 269, 634, 10626, 540, 17646, 949, 581, 3478, 922, 1813, 6284, 609, 17646, 781, 3573, 946, 538, 1114, 6080, 5001, 269, 18972, 666, 1510, 8594, 8415, 519, 4496, 609, 1100, 2427, 2360, 538, 6476, 547, 930, 824, 5906, 8407, 585, 1383, 1291, 610, 16035, 269, 11109, 922, 4550, 2275, 528, 4592, 633, 2298, 607, 1134, 607, 519, 12588, 547, 2149, 824, 7252, 998, 7311, 513, 4494, 540, 17646, 2740, 15098, 267, 17646, 5663, 568, 2810, 563, 5804, 519, 27705, 6520, 267, 17646, 814, 10123, 1044, 1031, 538, 4999, 609, 7601, 585, 519, 1818, 540, 1028, 9285, 2645, 267, 9604, 267, 543, 7329, 11169, 267, 543, 13742, 269, 1411, 616, 2111, 547, 875, 519, 4496, 540, 17646, 729, 10416, 13939, 2476, 689, 17646, 5599, 7626, 538, 11894, 1472, 476, 12573, 271, 645, 5861, 269, 6764, 20914, 616, 1287, 6569, 1312, 676, 2168, 543, 3114, 3157, 269, 2991, 22729, 609, 519, 17646, 7626, 267, 621, 781, 2366, 585, 1159, 601, 1154, 609, 3327, 693, 3665, 2837, 630, 12671, 476, 7742, 271, 5232, 18278, 264, 3330, 513, 19460, 269, 634, 1671, 5224, 32669, 540, 1071, 538, 519, 5755, 689, 519, 19460, 6770, 827, 519, 5114, 540, 17646, 7626, 609, 519, 1071, 32669, 547, 723, 17646, 1369, 513, 19020, 1106, 563, 763, 1985, 5123, 538, 17646, 5663, 3322, 17975, 519, 19020, 17646, 269, 901, 4480, 568, 2016, 998, 1776, 19460, 2348, 513, 2539, 2179, 540, 3002, 267, 543, 3322, 5277, 566, 799, 2337, 538, 519, 8851, 540, 2417, 24790, 540, 791, 675, 5536, 269, 15394, 519, 15568, 17646, 602, 835, 4991, 1310, 519, 5277, 566, 1184, 568, 2965, 13159, 569, 855, 950, 835, 2115, 547, 723, 519, 16798, 6986, 560, 1826, 540, 17646, 1287, 519, 5277, 730, 543, 15568, 17646, 1058, 581, 16271, 547, 14793, 6776, 17975, 563, 763, 4128, 899, 17646, 616, 2647, 267, 1312, 538, 519, 4702, 5823, 2059, 609, 6469, 5823, 269, 898, 2731, 568, 1031 ]

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

[ 0, 258, 3403, 5311, 1477, 572, 336, 815, 1412, 2969, 24774, 294, 16898, 3722, 294, 2969, 290, 294, 8980, 31769, 6717, 2969, 262, 5897, 258, 513, 9598, 827, 3490, 14911, 30010, 1477, 19668, 291, 1112, 815, 27835, 288, 9166, 262, 307, 3299, 1412, 294, 9166, 262, 290, 3299, 1412, 290, 9166, 262, 294, 3299, 1412, 307, 9166, 262, 288, 262, 348, 5897, 258, 3355, 1125, 519, 4756, 540, 9258, 14911, 5311, 1477, 516, 4467, 921, 5353, 336, 815, 15234, 5897, 258, 4483, 547, 14911, 5311, 543, 9258, 1477, 1721, 1775, 538, 2039, 12759, 263, 572, 336, 264, 910, 476, 272, 267, 910, 272, 267, 910, 272, 2567, 476, 1948, 9258, 1931, 1477, 825, 1264, 26015, 815, 3490, 291, 1112, 314, 572, 336, 5157, 14963, 1477, 825, 556, 4467, 921, 5353, 336, 6834, 1264, 26015, 476, 1948, 2322, 519, 14911, 3490, 1927, 5897, 258, 1820, 519, 5311, 1477, 2745, 3488, 305, 27654, 14911, 5311, 281, 3299, 556, 4467, 921, 5353, 336, 264, 0, 12163, 516, 576, 633, 292, 750, 18258, 454, 293, 30213, 13259, 5471, 848, 17771, 267, 3057, 1723, 14465, 3128, 10045, 267, 715, 1457, 574, 590, 1002, 686, 454, 1607, 3009, 11392, 6151, 552, 22313, 21168, 267, 799, 941, 2366, 547, 513, 3060, 1210, 519, 1085, 777, 344, 5399, 563, 20701, 5228, 1085, 777, 344, 269, 718, 1104, 1476, 454, 5814, 1785, 7531, 12163, 1607, 1599, 7024, 519, 10736, 1344, 540, 519, 21168, 269, 8528, 281, 12407, 1239, 281, 519, 25466, 1239, 799, 4991, 8237, 909, 547, 1205, 519, 5672, 268, 5417, 19843, 543, 519, 7014, 454, 281, 6943, 281, 25466, 454, 20701, 454, 3698, 552, 22313, 6958, 9347, 16597, 2187, 825, 3186, 8548, 659, 267, 521, 21683, 8548, 659, 267, 1486, 334, 815, 1785, 26509, 17569, 3488, 256, 277, 338, 277, 338, 273, 338, 3299, 1239, 11468, 1691, 7481, 825, 2132, 1205, 8548, 659, 318, 5417, 337, 5560, 652, 8548, 659, 1070, 1205, 8548, 659, 318, 5417, 337, 4433, 21683, 8548, 659, 1070, 1205, 318, 2889, 339, 4377, 263, 2889, 1729, 1070, 1239, 314, 1691, 281, 6540, 454, 12163, 1607, 1599, 7024, 519, 10736, 26914, 268, 5417, 19843, 269, 567, 692, 281, 12407, 25466, 318, 5417, 337, 281, 25466, 799, 2099, 519, 5672, 268, 5417, 816, 454, 281, 6943, 281, 25466, 454, 20701, 454, 3698, 1205, 8548, 659, 318, 5417, 337, 263, 2421, 5052, 318, 5417, 337, 2187, 825, 25466, 23919, 815, 4786, 3488, 346, 281, 6349, 343, 348, 8339, 8971, 267, 25466, 318, 5417, 337, 994, 825, 5672, 318, 5417, 816, 815, 1412, 281, 8339, 21860, 263, 2421, 5052, 23919, 1040, 21639, 4590, 825, 2132, 5672, 318, 5417, 816, 7531, 12163, 1607, 1599, 7024, 519, 10736, 7014, 780, 281, 12407, 25466, 318, 2889, 1729, 281, 25466, 799, 2099, 519, 7014, 454, 281, 6943, 281, 25466, 454, 20701, 454, 3698, 1205, 318, 2889, 339, 4377, 263, 2421, 5052, 318, 2889, 1729, 2187, 825, 25466, 23919, 815, 4786, 3488, 346, 281, 6349, 343, 348, 8339, 8971, 267, 25466, 318, 2889, 1729, 994, 825, 7014, 815, 1412, 8339, 21860, 263, 2421, 5052, 23919, 1040, 21639, 4590, 825, 2132, 7014, 7531, 12163, 763, 1599, 12086, 519, 1007, 2366, 17142, 609, 519, 7014, 834, 271, 343, 10384, 271, 257, 543, 16493, 519, 1344, 780, 281, 12407, 8818, 281, 2012, 540, 519, 3060, 8818, 267, 585, 3236, 1412, 523, 271, 3299, 1412, 523, 272, 3299, 4429, 281, 6943, 281, 1193, 454, 281, 8873, 281, 519, 31139, 540, 519, 552, 22313, 17142, 454, 281, 337, 6943, 281, 25466, 3097, 20701, 454, 3698, 4309, 263, 5793, 2183, 17107, 825, 1247, 6936, 1384, 1038, 1124, 330, 815, 1476, 11482, 273, 338, 12714, 263, 604, 864, 284, 5793, 2183, 264, 476, 1948, 1085, 777, 344, 23094, 799, 13462, 547, 513, 3060, 552, 3052, 834, 523, 271, 2580, 834, 523, 272, 4840, 1038, 533, 19241, 815, 25466, 4433, 1442, 269, 13440, 341, 28829, 476, 1948, 519, 21168, 1205, 1224, 543, 10736, 547, 25466, 454, 1038, 952, 533, 19241, 314, 1321, 281, 1691, 316, 11203, 536, 262, 315, 343, 3583, 315, 343, 876, 9166, 476, 1948, 1152, 519, 21168, 609, 7014, 834, 271, 343, 10384, 271, 257, 1205, 22012, 454, 2018, 3136, 692, 1038, 3186, 8548, 659, 267, 521, 21683, 8548, 659, 267, 2802, 318, 2889, 1729, 267, 1239, 815, 552, 22313, 6958, 9347, 9638, 19241, 264, 476, 1948, 7125, 519, 1599, 547, 6460, 519, 1344, 540, 519, 21168, 692, 1038, 1820, 28361, 333, 292, 22313, 31108, 281, 5073, 1038, 1820, 2891, 291, 652, 1588, 26914, 281, 15079, 2668, 8971, 5560, 652, 8548, 659, 4297, 476, 1948, 16493, 519, 10736, 10278, 26914, 268, 5417, 816, 454, 1038, 1820, 2891, 13126, 26914, 281, 15079, 2668, 8971, 4433, 21683, 8548, 659, 4297, 476, 1948, 16493, 519, 10736, 2707, 26914, 268, 5417, 816, 454, 1038, 1820, 2891, 3682, 339, 4377, 281, 15079, 2668, 8971, 263, 996, 318, 2889, 1729, 4297, 476, 1948, 16493, 519, 10736, 7014, 454, 1038, 1820, 2891, 303, 871, 564, 281, 14307, 1239, 264, 476, 1948, 16493, 519, 2628, 719, 454, 1038, 2736, 692, 825, 2132, 1239, 692, 0, 5814, 621, 1068, 8962, 692, 5035, 30014, 912, 476, 1219, 6449, 8181, 9191, 1345, 267, 1942, 267, 3441, 267, 24915, 2187, 825, 1582, 6983, 739, 815, 1942, 454, 825, 1582, 6155, 600, 720, 815, 3441, 454, 825, 1582, 269, 1301, 528, 815, 24915, 692, 476, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 8587, 2132, 824, 543, 1582, 6983, 739, 2652, 824, 6983, 739, 543, 1582, 6155, 600, 720, 2652, 824, 6155, 600, 720, 543, 1582, 269, 1301, 528, 2652, 824, 269, 1301, 528, 692, 476, 1219, 6449, 928, 9191, 1345, 267, 824, 2187, 825, 2132, 711, 1582, 14857, 18091, 9191, 1278, 2020, 476, 1219, 6449, 327, 1662, 9191, 1345, 2187, 8587, 2132, 19474, 9230, 1345, 6983, 739, 267, 1582, 6155, 600, 720, 267, 1582, 269, 1301, 528, 11723, 476, 1219, 6449, 1598, 9191, 1345, 2187, 825, 2132, 834, 291, 600, 720, 281, 4939, 338, 267, 14022, 528, 281, 4939, 338, 267, 8779, 281, 4939, 338, 257, 4939, 630, 1345, 6155, 600, 720, 267, 1345, 269, 1301, 528, 267, 1345, 6983, 739, 2020, 476, 1219, 6449, 516, 1440, 9191, 1345, 2187, 825, 2132, 1582, 14857, 1598, 9191, 2020, 258, 1284, 777, 976, 281, 825, 8779, 476, 28100, 476, 14022, 528, 454, 258, 667, 16925, 1038, 476, 279, 672, 476, 275, 11434, 476, 271, 454, 258, 10374, 1873, 867, 567, 476, 1015, 672, 476, 276, 11434, 476, 271, 454, 258, 2782, 5069, 1067, 825, 476, 1839, 672, 476, 277, 11434, 476, 271, 454, 258, 7043, 1873, 867, 825, 476, 2412, 672, 476, 278, 11434, 476, 271, 454, 258, 4279, 1314, 324, 672, 476, 10619, 672, 476, 279, 11434, 476, 271, 692, 258, 14022, 528, 281, 8587, 8779, 476, 28100, 476, 14022, 528, 454, 258, 2274, 1430, 8587, 476, 1724, 672, 476, 271, 11434, 476, 272, 454, 258, 20456, 21166, 825, 476, 4029, 672, 476, 271, 11434, 476, 273, 454, 258, 590, 680, 842, 21166, 567, 476, 7871, 672, 476, 271, 11434, 476, 274, 454, 258, 17020, 539, 21166, 567, 476, 4037, 672, 476, 271, 11434, 476, 275, 454, 258, 17934, 21166, 567, 476, 9083, 672, 476, 271, 11434, 476, 276, 692, 258, 681, 902, 281, 8587, 8779, 476, 28100, 476, 14022, 528, 454, 258, 28100, 1341, 272, 825, 476, 1839, 672, 476, 272, 11434, 476, 271, 454, 258, 28100, 1341, 273, 825, 476, 2004, 672, 476, 273, 11434, 476, 271, 454, 258, 28100, 1341, 274, 567, 476, 1911, 672, 476, 274, 11434, 476, 271, 454, 258, 16470, 1341, 272, 567, 476, 736, 672, 476, 271, 11434, 476, 272, 454, 258, 16470, 1341, 273, 567, 476, 2412, 672, 476, 271, 11434, 476, 273, 454, 258, 16470, 1341, 274, 567, 476, 3199, 672, 476, 271, 11434, 476, 274, 692, 258, 645, 1601, 853, 1846, 454, 258, 12231, 18745, 281, 476, 11820, 454, 258, 28100, 281, 476, 279, 454, 258, 14022, 528, 281, 476, 273, 692, 933, 777, 976, 815, 1496, 2005, 655, 263, 279, 267, 275, 267, 271, 1070, 2005, 655, 263, 1015, 267, 276, 267, 271, 1070, 2005, 655, 263, 1839, 267, 277, 267, 271, 1070, 2005, 655, 263, 2412, 267, 278, 267, 271, 1070, 2005, 655, 263, 10619, 267, 279, 267, 271, 22708, 1301, 832, 815, 1496, 2005, 655, 263, 1724, 267, 271, 267, 272, 1070, 2005, 655, 263, 4029, 267, 271, 267, 273, 1070, 2005, 655, 263, 7871, 267, 271, 267, 274, 1070, 2005, 655, 263, 4037, 267, 271, 267, 275, 1070, 2005, 655, 263, 9083, 267, 271, 267, 276, 22708, 337, 902, 815, 1496, 2005, 655, 263, 1839, 267, 272, 267, 271, 1070, 2005, 655, 263, 2004, 267, 273, 267, 271, 1070, 2005, 655, 263, 1911, 267, 274, 267, 271, 1070, 2005, 655, 263, 736, 267, 271, 267, 272, 1070, 2005, 655, 263, 2412, 267, 271, 267, 273, 1070, 2005, 655, 263, 3199, 267, 271, 267, 274, 264, 6540, 14403, 5334, 1115, 815, 1305, 4590, 258, 4020, 6221, 5036, 454, 1721, 14049, 538, 9604, 912, 476, 1948, 14403, 5334, 1115, 14491, 6600, 549, 17899, 564, 8443, 933, 777, 517, 28413, 476, 1948, 1721, 24915, 538, 6186, 832, 912, 825, 1948, 14403, 5334, 1115, 14491, 6600, 549, 17899, 564, 8443, 933, 777, 517, 267, 24915, 28413, 825, 585, 8258, 27133, 538, 621, 1068, 8962, 2593, 321, 5209, 16868, 902, 267, 476, 273, 2187, 8587, 8258, 318, 1260, 2692, 815, 1305, 8443, 933, 777, 517, 7481, 8587, 585, 8258, 538, 8258, 27133, 912, 1038, 8258, 318, 1260, 2692, 14491, 263, 2590, 994, 8587, 6221, 5334, 1115, 14491, 6600, 549, 17899, 564, 263, 2590, 318, 1260, 2692, 4917, 825, 585, 8258, 538, 14034, 912, 8587, 6221, 5334, 1115, 14491, 6600, 549, 17899, 564, 8443, 933, 777, 517, 267, 8258, 8079, 2020, 1721, 3688, 538, 6221, 5334, 1115, 912, 476, 1820, 3688, 692, 321, 1601, 5091, 600, 720, 815, 476, 279, 454, 321, 1601, 318, 1301, 528, 815, 476, 273, 454, 2381, 6831, 739, 815, 476, 1911, 271, 454, 10946, 9078, 3151, 6831, 739, 815, 476, 271, 454, 258, 8520, 936, 9604, 267, 24915, 543, 14034, 454, 1721, 6221, 27133, 538, 6221, 5334, 1115, 912, 476, 20148, 20189, 335, 815, 476, 11820, 454, 476, 6345, 20189, 335, 815, 476, 1911, 692, 476, 6345, 5091, 600, 720, 815, 2040, 9217, 6155, 600, 720, 585, 1775, 538, 6221, 27133, 994, 476, 6345, 318, 1301, 528, 815, 2040, 9217, 269, 1301, 528, 585, 1775, 538, 6221, 27133, 994, 476, 1942, 815, 2040, 9217, 6983, 739, 585, 1775, 538, 6221, 27133, 2020, 476, 1820, 834, 291, 600, 720, 281, 4939, 338, 267, 14022, 528, 281, 4939, 338, 267, 8779, 281, 4939, 338, 257, 4939, 630, 16651, 5091, 600, 720, 267, 16651, 318, 1301, 528, 22698, 739, 9239, 476, 1247, 6936, 912, 825, 952, 6345, 5091, 600, 720, 910, 20148, 318, 1301, 528, 2999, 476, 272, 912, 8587, 20148, 20189, 335, 20699, 476, 272, 454, 825, 3116, 912, 8587, 20148, 20189, 335, 20699, 630, 16651, 5091, 600, 720, 910, 20148, 318, 1301, 528, 994, 825, 952, 630, 321, 1601, 20189, 335, 10922, 476, 271, 2187, 8587, 2736, 454, 825, 952, 20148, 5091, 600, 720, 910, 6345, 318, 1301, 528, 2999, 476, 272, 912, 8587, 6345, 20189, 335, 20699, 476, 272, 454, 825, 3116, 912, 8587, 6345, 20189, 335, 20699, 630, 321, 1601, 5091, 600, 720, 910, 6345, 318, 1301, 528, 994, 825, 952, 630, 16651, 20189, 335, 10922, 476, 271, 2187, 8587, 2736, 7531, 476, 952, 20148, 20189, 335, 3436, 476, 271, 912, 825, 1820, 834, 32156, 19380, 30882, 825, 952, 630, 322, 739, 3436, 3193, 9078, 3151, 6831, 739, 2187, 8587, 1820, 6221, 27133, 454, 8587, 3193, 9078, 3151, 6831, 739, 815, 1942, 454, 476, 3116, 912, 825, 1820, 834, 32156, 17993, 30882, 825, 952, 630, 322, 739, 2999, 1295, 6831, 739, 2187, 8587, 1295, 6831, 739, 815, 1942, 692, 2745, 834, 14737, 10888, 1942, 281, 14307, 1295, 6831, 739, 454, 2745, 834, 16655, 9561, 1942, 281, 14307, 3193, 9078, 3151, 6831, 739, 454, 0, 333, 815, 703, 9272, 3890, 3418, 604, 562, 285, 271, 6769, 13537, 2891, 31339, 7089, 14744, 12828, 6769, 13537, 2891, 27078, 894, 7089, 8442, 0, 5228, 10070, 1104, 3957, 14654, 921, 267, 631, 17014, 13729, 454, 5814, 19523, 267, 942, 267, 5569, 692, 5814, 512, 322, 617, 692, 11592, 815, 3957, 14654, 921, 3488, 11592, 3299, 18358, 343, 3299, 1412, 344, 262, 7481, 10594, 514, 815, 8672, 263, 271, 267, 476, 271, 2020, 5035, 25351, 24998, 2187, 825, 8173, 825 ]

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