SmallDoge/stable_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 0, 30208, 7384, 3354, 454, 32325, 1031, 547, 2149, 6531, 1759, 7221, 1315, 3245, 9504, 267, 519, 1863, 22605, 454, 32091, 26264, 342, 663, 3642, 267, 1577, 781, 1832, 621, 2110, 676, 3274, 16460, 891, 1883, 2055, 912, 4692, 596, 1592, 519, 1283, 5013, 543, 28135, 827, 13192, 3354, 888, 11764, 3405, 1125, 713, 2376, 585, 513, 476, 1015, 1296, 2025, 454, 17239, 8582, 20231, 32530, 16739, 454, 30208, 7384, 3354, 610, 267, 811, 3274, 267, 6531, 3354, 4016, 547, 513, 3376, 1305, 540, 4507, 267, 4066, 267, 3156, 267, 543, 8060, 8246, 547, 2149, 5691, 1242, 7379, 267, 1239, 267, 3156, 267, 2533, 267, 543, 519, 2404, 5989, 540, 6531, 7384, 269, 898, 568, 513, 1016, 26730, 664, 540, 2780, 3354, 267, 3060, 3354, 267, 543, 267, 811, 17618, 267, 1344, 3354, 563, 347, 8512, 540, 513, 3126, 593, 347, 0, 4131, 779, 1865, 519, 2243, 281, 875, 1082, 5195, 568, 476, 5379, 5998, 269, 1284, 17412, 782, 4143, 4267, 538, 3296, 1627, 26031, 540, 3896, 476, 272, 560, 2987, 1532, 28320, 2593, 538, 7121, 281, 18248, 631, 19616, 269, 6423, 811, 1644, 2055, 538, 519, 8292, 2630, 563, 1692, 3728, 568, 476, 5379, 5998, 538, 5195, 888, 347, 298, 559, 18852, 829, 5662, 1475, 300, 3796, 829, 5662, 2008, 347, 6246, 737, 874, 1475, 2918, 269, 7761, 18890, 2008, 347, 4510, 737, 874, 1475, 2767, 269, 4097, 18890, 2008, 347, 3393, 737, 874, 1475, 2767, 269, 9834, 18890, 2008, 347, 5379, 737, 874, 1475, 2764, 269, 6812, 18890, 2008, 1692, 1082, 5998, 24439, 476, 272, 5195, 888, 1692, 1082, 12919, 538, 513, 13304, 476, 272, 13304, 568, 3160, 547, 476, 272, 269, 2568, 280, 30306, 21240, 267, 799, 568, 519, 7503, 3815, 689, 5195, 547, 21240, 563, 295, 8582, 9215, 12164, 309, 12224, 918, 6579, 6865, 4953, 2207, 263, 298, 300, 264, 9215, 631, 11223, 6730, 631, 11223, 9215, 918, 6579, 6865, 4953, 2207, 454, 3412, 1137, 1644, 547, 519, 1888, 295, 8582, 9215, 12164, 309, 12224, 918, 6579, 6865, 4953, 2207, 263, 298, 300, 264, 9215, 631, 11223, 6730, 631, 11223, 9215, 918, 6579, 6865, 4953, 2207, 454, 1692, 2484, 568, 476, 272, 5998, 538, 476, 272, 13304, 888, 23277, 4394, 1475, 272, 5998, 815, 476, 1911, 271, 544, 1475, 272, 13304, 815, 476, 8182, 280, 269, 30306, 544, 2008, 347, 1103, 2583, 1475, 272, 5998, 815, 476, 4375, 267, 24907, 538, 1475, 272, 13304, 815, 476, 8287, 267, 11740, 538, 2008, 347, 298, 559, 18852, 1475, 272, 5998, 815, 476, 272, 5998, 1475, 272, 13304, 815, 476, 272, 269, 2568, 280, 5998, 2008, 23277, 3796, 1475, 272, 5998, 815, 476, 271, 269, 277, 2641, 11465, 1475, 272, 13304, 815, 476, 272, 13304, 2008, 1692, 2484, 568, 476, 273, 5195, 593, 918, 300, 888, 347, 273, 11465, 1475, 274, 269, 2420, 5998, 2008, 347, 274, 11465, 1475, 275, 269, 10695, 5998, 2008, 347, 275, 11465, 1475, 277, 269, 4510, 5998, 2008, 347, 276, 11465, 1475, 279, 269, 4962, 5998, 2008, 1432, 568, 476, 1911, 14790, 538, 18890, 888, 12585, 281, 476, 1911, 5998, 10774, 568, 3160, 547, 476, 7830, 269, 1691, 18890, 563, 1692, 3728, 568, 476, 2568, 5998, 888, 347, 298, 559, 18852, 3131, 28914, 1475, 300, 3796, 3131, 28914, 2008, 347, 2004, 5998, 10774, 1475, 4029, 269, 5881, 18890, 2008, 347, 4649, 5998, 10774, 1475, 4097, 269, 1240, 18890, 2008, 347, 2568, 5998, 10774, 1475, 4391, 269, 2764, 18890, 2008, 347, 4792, 5998, 10774, 1475, 2412, 269, 4375, 18890, 2008, 1692, 1082, 5195, 568, 5177, 5998, 888, 2467, 616, 1079, 2081, 547, 6460, 1063, 5195, 543, 21240, 1107, 3169, 543, 16977, 7503, 281, 476, 272, 13304, 815, 476, 272, 269, 2568, 280, 274, 269, 476, 4510, 5998, 610, 476, 272, 5998, 815, 476, 271, 269, 277, 2641, 4391, 272, 273, 5195, 563, 3674, 513, 9481, 518, 610, 13304, 3476, 888, 272, 269, 2568, 280, 12919, 3160, 476, 272, 13304, 269, 634, 9481, 518, 568, 513, 1770, 540, 6482, 267, 607, 568, 519, 2113, 548, 269, 1717, 267, 513, 13304, 568, 3476, 982, 513, 9481, 518, 269, 968, 300, 850, 892, 568, 513, 8273, 1770, 563, 1692, 1279, 1131, 621, 1491, 547, 3802, 476, 274, 14790, 888, 274, 298, 281, 476, 274, 12919, 11224, 476, 272, 269, 5952, 5195, 267, 610, 476, 7176, 275, 273, 269, 276, 3952, 267, 610, 1175, 513, 2370, 1447, 982, 476, 273, 5195, 269, 901, 568, 513, 1455, 3845, 585, 17493, 15211, 267, 2523, 1346, 609, 3015, 11507, 269, 898, 3217, 476, 1789, 547, 476, 4391, 3764, 547, 3802, 476, 274, 298, 693, 513, 9793, 10605, 563, 1692, 2484, 568, 476, 1015, 14790, 888, 11997, 267, 513, 476, 1015, 298, 568, 476, 1015, 12919, 630, 1015, 267, 1822, 7397, 264, 610, 476, 277, 269, 273, 5195, 563, 1432, 1919, 616, 476, 272, 5998, 1279, 888, 299, 1824, 540, 6201, 454, 268, 827, 607, 1279, 607, 513, 20013, 563, 268, 519, 8700, 540, 513, 1164, 331, 7660, 563, 268, 519, 8006, 540, 513, 17987, 7735, 563, 268, 519, 8700, 540, 476, 276, 7131, 779, 30528, 593, 1283, 540, 1142, 824, 563, 268, 519, 11098, 540, 513, 711, 788, 611, 563, 268, 519, 8953, 630, 327, 2788, 519, 8006, 264, 540, 513, 2475, 29784, 563, 3674, 476, 273, 5998, 3476, 982, 476, 272, 13304, 888, 2005, 568, 851, 540, 519, 11973, 1062, 540, 6482, 269, 4706, 28008, 568, 5998, 269, 589, 13304, 568, 3476, 982, 513, 9481, 518, 269, 2290, 13304, 568, 3160, 547, 476, 272, 269, 2568, 280, 12919, 563, 27077, 483, 22417, 631, 850, 547, 18741, 10309, 630, 332, 850, 547, 918, 332, 264, 1107, 7151, 543, 16754, 454, 3412, 1137, 1644, 547, 519, 1888, 27077, 483, 22417, 631, 850, 547, 18741, 10309, 630, 332, 850, 547, 918, 332, 264, 1107, 7151, 543, 16754, 454, 3674, 4881, 476, 273, 5195, 513, 1554, 1434, 888, 19119, 540, 26121, 476, 273, 30683, 513, 4303, 269, 26121, 476, 273, 5195, 513, 1554, 568, 513, 1390, 1259, 547, 1205, 3323, 609, 16608, 4881, 1510, 9688, 532, 3054, 269, 11545, 4881, 666, 798, 513, 2603, 547, 707, 1272, 267, 689, 8781, 8477, 543, 14304, 707, 2295, 547, 2810, 707, 14438, 563, 1692, 1279, 1281, 621, 1491, 547, 3802, 476, 276, 5195, 888, 7197, 1004, 3802, 693, 513, 3728, 10605, 540, 5111, 476, 274, 269, 276, 28902, 606, 5662, 267, 799, 3340, 5111, 476, 1704, 3764, 1142, 13304, 610, 476, 5952, 3764, 585, 513, 476, 276, 28902, 269, 1411, 1223, 588, 2651, 5488, 952, 596, 3432, 909, 707, 3268, 563, 1692, 1279, 1058, 621, 1491, 547, 2196, 513, 13304, 888, 288, 1875, 4818, 564, 1438, 267, 5266, 538, 6879, 1901, 27460, 2356, 29349, 835, 13304, 538, 827, 476, 280, 547, 476, 1015, 3764, 267, 593, 3328, 269, 1403, 596, 2461, 1007, 547, 4881, 267, 596, 1522, 2196, 835, 13304, 538, 6251, 547, 476, 1321, 547, 476, 1428, 3764, 607, 596, 1628, 909, 16608, 269, 4432, 924, 2261, 25070, 28359, 3328, 513, 13304, 538, 1472, 476, 275, 547, 476, 276, 3764, 563, 1692, 3728, 568, 476, 8099, 14790, 888, 8099, 5998, 327, 9881, 486, 476, 6924, 269, 3374, 18890, 454, 3086, 596, 917, 875, 3728, 476, 8099, 5998, 327, 568, 538, 18890, 563, 1692, 3728, 568, 476, 10219, 14790, 888, 10219, 5998, 327, 9881, 486, 476, 6507, 269, 6858, 18890, 454, 3086, 596, 917, 875, 3728, 476, 10219, 5998, 327, 568, 538, 18890, 563, 3674, 737, 874, 543, 5998, 327, 519, 1482, 888, 298, 559, 2210, 637, 829, 5662, 563, 347, 330, 559, 2210, 516, 829, 5662, 2008, 24820, 1286, 3432, 10309, 602, 6920, 6027, 3432, 538, 21240, 829, 5662, 8198, 1692, 1082, 5998, 1118, 606, 5662, 888, 347, 272, 25980, 815, 1475, 276, 18741, 18852, 1475, 1015, 18741, 18852, 2008, 347, 274, 25980, 815, 1475, 1428, 18741, 18852, 1475, 736, 18741, 18852, 2008, 347, 276, 25980, 815, 1475, 1839, 18741, 18852, 1475, 1789, 18741, 18852, 2008, 347, 278, 25980, 815, 1475, 3374, 18741, 18852, 1475, 2412, 18741, 18852, 2008, 347, 280, 25980, 815, 1475, 3393, 18741, 18852, 1475, 2004, 18741, 18852, 2008, 1692, 1279, 1281, 621, 1491, 547, 3802, 476, 277, 269, 272, 5195, 888, 1692, 1082, 3108, 616, 538, 513, 9481, 518, 888, 19667, 728, 3845, 630, 514, 5998, 264, 676, 519, 3432, 630, 514, 5998, 10774, 264, 547, 5173, 519, 942, 630, 514, 3108, 1040, 769, 938, 1383, 267, 942, 568, 476, 15946, 269, 4391, 275, 5998, 270, 476, 7918, 5998, 10774, 815, 476, 273, 269, 6321, 273, 3108, 563, 1692, 1082, 5195, 616, 538, 476, 272, 13304, 888, 347, 272, 11465, 269, 610, 11465, 538, 2560, 1475, 2507, 568, 3160, 547, 2560, 2008, 347, 10485, 4559, 1475, 8182, 280, 269, 30306, 544, 2008, 347, 574, 704, 658, 270, 4785, 4559, 1475, 277, 3451, 2568, 6279, 476, 276, 2764, 271, 10264, 476, 12293, 271, 586, 323, 476, 3199, 669, 476, 279, 9663, 2008, 347, 4785, 5619, 13304, 1475, 271, 269, 15886, 4200, 279, 5619, 13304, 2008, 1692, 547, 6460, 12919, 547, 5195, 538, 707, 2212, 454, 3412, 1137, 1644, 547, 519, 1888, 1692, 547, 6460, 12919, 547, 5195, 538, 707, 2212, 454, 1692, 798, 596, 6460, 5212, 10309, 547, 12919, 888, 1692, 547, 22417, 30683, 547, 18741, 18852, 269, 634, 3845, 538, 12919, 568, 3160, 547, 519, 3845, 538, 5195, 16611, 676, 476, 272, 269, 2568, 280, 30306, 269, 4595, 835, 13304, 568, 3160, 547, 476, 272, 269, 2568, 280, 30306, 12919, 267, 602, 779, 519, 7503, 5223, 1031, 538, 519, 4542, 563, 3963, 1281, 6628, 1869, 946, 5195, 888, 12585, 814, 476, 278, 16018, 269, 25214, 519, 4155, 3060, 538, 4789, 729, 3964, 676, 519, 14564, 945, 6027, 538, 5195, 269, 634, 11973, 1062, 729, 1101, 5189, 547, 5333, 676, 19167, 693, 513, 942, 950, 789, 941, 693, 2112, 609, 4789, 269, 901, 568, 1946, 519, 2296, 941, 26997, 547, 9772, 1558, 30826, 563, 268, 476, 2764, 5195, 689, 803, 454, 268, 476, 275, 1240, 5998, 547, 5195, 454, 268, 875, 2484, 568, 476, 5379, 5998, 538, 3764, 6117, 454, 268, 875, 1082, 5195, 606, 5662, 568, 476, 5379, 5998, 454, 268, 875, 2484, 2476, 568, 476, 5379, 5195, 454, 268, 875, 1279, 547, 5397, 476, 5379, 5195, 454, 268, 875, 2484, 568, 476, 5379, 5998, 689, 803, 454, 268, 476, 5379, 5998, 547, 4699, 454, 268, 476, 14096, 5998, 547, 18890, 454, 268, 476, 5379, 5998, 568, 3160, 547, 875, 1082, 5195, 454, 268, 875, 1279, 568, 513, 476, 4366, 5998, 5397, 454, 268, 875, 1279, 568, 476, 5379, 5195, 538, 513, 1286, 454, 268, 875, 1279, 1281, 621, 1491, 547, 5397, 476, 5379, 5998, 454, 268, 875, 1082, 737, 916, 568, 476, 5379, 5195, 454, 268, 875, 1082, 3108, 568, 476, 5379, 5195, 454, 268, 875, 1082, 5998, 568, 476, 5379, 5195, 829, 5662, 454, 268, 875, 1082, 5195, 568, 476, 3393, 5998, 454, 268, 5998, 547, 5195, 454, 22033, 1644, 547, 519, 1888, 875, 1082, 5195, 568, 476, 5379, 5998, 454, 2080, 616, 519, 3406, 2164, 540, 519, 8142, 875, 1082, 5195, 568, 476, 5379, 5998, 689, 29078, 269, 1411, 666, 1224, 811, 952, 596, 1616, 563, 2791, 723, 1175, 2097, 2066, 606, 2376, 593, 519, 1888, 875, 1082, 5195, 568, 476, 5379, 5998, 269, 1403, 596, 1336, 713, 2376, 3730, 267, 5225, 2671, 621, 269, 11289, 596, 1360, 1454, 269, 0, 4131, 1562, 2060, 9293, 18738, 454, 4131, 1562, 2060, 9293, 18738, 1107, 27973, 547, 581, 513, 681, 8016, 298, 4149, 307, 2752, 609, 707, 1915, 286, 4208, 711, 1397, 1055, 707, 4484, 532, 1983, 676, 8380, 1913, 538, 6801, 286, 32027, 1913, 543, 1913, 883, 12166, 5546, 666, 581, 1187, 585, 596, 543, 23666, 707, 5304, 269, 769, 2221, 779, 2022, 267, 594, 630, 288, 569, 1087, 320, 689, 7711, 299, 903, 338, 553, 318, 4131, 1562, 264, 786, 3391, 596, 1900, 8386, 9912, 998, 519, 1184, 540, 8888, 1688, 2275, 2761, 539, 4484, 1148, 602, 2306, 1004, 1745, 24330, 2336, 296, 3323, 676, 11516, 4221, 513, 1507, 2947, 15304, 539, 5182, 609, 513, 5386, 15262, 269, 1411, 666, 849, 17250, 609, 513, 15513, 269, 594, 1175, 4782, 547, 946, 13504, 1317, 594, 1810, 1406, 2247, 1818, 968, 332, 626, 1389, 892, 1282, 713, 1374, 5123, 269, 769, 330, 7512, 803, 547, 1491, 4220, 269, 6616, 602, 594, 666, 1406, 18419, 621, 2336, 4131, 1562, 2060, 9293, 18738, 454, 763, 1913, 594, 8359, 547, 2328, 3330, 519, 6801, 941, 968, 4131, 707, 1769, 19542, 1848, 1411, 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 ]
[ 8219, 543, 267, 952, 2556, 267, 1491, 5160, 5439, 269, 901, 568, 2356, 1152, 2944, 538, 811, 4049, 2665, 1141, 972, 949, 581, 824, 2009, 3123, 540, 519, 2589, 267, 971, 607, 16289, 545, 4345, 563, 3849, 3939, 547, 6413, 454, 2791, 949, 581, 2712, 326, 1836, 15861, 547, 6413, 952, 912, 2252, 621, 568, 8995, 693, 606, 2038, 3942, 267, 23856, 12982, 2068, 630, 303, 2839, 264, 666, 581, 5701, 3533, 543, 7561, 269, 1717, 267, 952, 621, 568, 2451, 15860, 267, 621, 666, 1291, 547, 811, 3978, 267, 1279, 3856, 8374, 563, 5649, 811, 1344, 827, 519, 8374, 540, 23856, 12982, 2068, 630, 303, 2839, 1916, 2252, 596, 723, 7646, 610, 9793, 623, 2839, 267, 707, 13382, 610, 4638, 1072, 16758, 786, 2356, 4383, 707, 2126, 563, 288, 4999, 540, 693, 2547, 1079, 11216, 568, 2356, 11311, 547, 1521, 623, 2839, 269, 901, 568, 1317, 623, 2839, 1419, 3322, 1896, 1114, 2010, 540, 4551, 563, 21413, 4881, 4255, 267, 621, 666, 581, 2182, 585, 7189, 547, 2697, 519, 3169, 4551, 3743, 267, 865, 513, 4999, 540, 11216, 949, 7620, 581, 11311, 865, 602, 513, 3099, 540, 4551, 666, 581, 5701, 269, 898, 779, 1271, 547, 1521, 623, 2839, 3533, 547, 6922, 1047, 519, 1981, 540, 26983, 563, 2252, 707, 4387, 568, 2111, 547, 2697, 519, 4551, 267, 707, 11216, 949, 581, 4957, 9935, 269, 25095, 7821, 602, 616, 4122, 11311, 547, 1521, 623, 2839, 1331, 540, 331, 2135, 659, 514, 267, 1558, 1258, 573, 31152, 267, 524, 14285, 686, 1314, 821, 630, 25912, 2012, 10162, 576, 874, 514, 264, 543, 798, 15383, 7094, 710, 563, 2791, 786, 2356, 723, 547, 1491, 519, 11216, 585, 476, 1691, 2395, 269, 898, 568, 1360, 1271, 547, 2347, 519, 3003, 1576, 540, 11216, 267, 6382, 519, 2126, 949, 711, 581, 2500, 563, 1103, 3226, 4049, 2665, 540, 623, 2839, 596, 949, 723, 547, 581, 15861, 547, 6413, 1141, 596, 786, 4309, 11216, 12499, 1597, 3585, 630, 10843, 513, 30620, 538, 707, 6186, 1916, 763, 4551, 602, 2014, 623, 2839, 666, 4734, 10077, 5160, 543, 26252, 525, 630, 3712, 27928, 540, 7783, 5714, 264, 593, 519, 16298, 540, 707, 2887, 26508, 13740, 269, 901, 2306, 621, 1360, 2182, 585, 606, 4212, 547, 1780, 2059, 621, 563, 763, 3476, 623, 2839, 568, 2451, 15860, 267, 519, 811, 2693, 621, 568, 602, 1085, 18732, 786, 2049, 269, 32653, 2126, 568, 1898, 585, 6922, 2358, 519, 1981, 540, 3441, 547, 519, 2887, 26508, 13740, 543, 824, 10285, 8219, 563, 22137, 2303, 602, 8488, 532, 2126, 676, 1256, 513, 1906, 2395, 666, 2333, 519, 1981, 540, 15176, 12680, 269, 1717, 267, 1034, 2021, 1205, 9176, 1510, 2042, 1310, 513, 2582, 12558, 540, 623, 2839, 563, 15919, 267, 17808, 610, 8697, 13740, 666, 581, 30465, 1282, 513, 22272, 541, 22000, 630, 4486, 23346, 6391, 1070, 1141, 519, 9402, 5160, 593, 519, 16298, 540, 519, 13740, 568, 6569, 269, 1717, 267, 713, 666, 3006, 2014, 2417, 1085, 18732, 543, 949, 711, 2141, 11177, 12680, 563, 288, 811, 3665, 1106, 540, 6391, 568, 513, 2892, 4771, 26618, 269, 901, 3322, 519, 8851, 540, 835, 610, 1312, 540, 519, 2887, 26508, 13740, 547, 3247, 519, 3262, 540, 3968, 563, 1607, 568, 1152, 2808, 607, 513, 2063, 18992, 267, 607, 519, 8851, 540, 1312, 2887, 26508, 13740, 786, 1611, 596, 786, 1100, 3476, 581, 2111, 547, 1205, 9176, 6923, 563, 763, 3476, 2126, 585, 623, 2839, 568, 16607, 267, 519, 811, 2693, 621, 568, 602, 519, 2887, 26508, 13740, 543, 824, 10285, 8219, 786, 581, 18385, 8697, 563, 2252, 519, 13740, 616, 865, 8697, 602, 621, 568, 7543, 547, 1205, 9176, 6923, 267, 930, 1004, 786, 581, 5280, 676, 538, 8686, 527, 549, 6992, 5314, 630, 4353, 293, 1916, 22879, 532, 3023, 543, 32296, 4638, 4891, 454, 22879, 2348, 4638, 26697, 2394, 596, 723, 6192, 707, 2126, 269, 901, 568, 1317, 2348, 3023, 666, 14443, 519, 7067, 1184, 563, 12179, 4638, 4891, 596, 723, 1044, 609, 538, 519, 3670, 3275, 1354, 707, 2589, 3323, 1058, 581, 7318, 543, 5701, 547, 3247, 519, 3968, 18596, 269, 1403, 596, 723, 711, 1185, 513, 4638, 7649, 538, 519, 3105, 3670, 3275, 267, 3346, 707, 1034, 2487, 7649, 563, 14483, 543, 2487, 4891, 1058, 581, 2938, 538, 513, 4638, 1072, 16758, 585, 4152, 543, 2126, 269, 1684, 711, 723, 3023, 609, 513, 3105, 7649, 8259, 596, 616, 2386, 602, 789, 723, 4607, 2126, 563, 2467, 616, 1896, 8374, 2404, 609, 23856, 12982, 2068, 630, 303, 2839, 1070, 1519, 7368, 14501, 540, 623, 2839, 267, 606, 26252, 8108, 543, 606, 2799, 1981, 540, 606, 28341, 8084, 6379, 610, 26983, 563, 13434, 584, 1370, 23856, 12982, 2068, 454, 18131, 1419, 1995, 7368, 14501, 540, 623, 2839, 267, 713, 568, 1634, 607, 20443, 23856, 12982, 2068, 269, 634, 811, 1419, 513, 4807, 4991, 623, 2839, 267, 519, 811, 2693, 1352, 568, 547, 1205, 621, 538, 519, 2104, 563, 763, 2783, 666, 2132, 952, 519, 3355, 3968, 568, 711, 7357, 23174, 610, 1317, 513, 4638, 7649, 814, 711, 1044, 7318, 543, 5701, 563, 2252, 606, 3355, 12558, 540, 623, 2839, 14796, 519, 14677, 1460, 267, 621, 666, 1831, 4443, 585, 4551, 547, 1847, 883, 519, 10285, 8219, 538, 519, 2104, 267, 1818, 596, 811, 11630, 547, 3384, 519, 2783, 1586, 269, 15901, 730, 14501, 540, 623, 2839, 616, 2404, 609, 606, 2799, 1981, 540, 26983, 563, 15919, 267, 623, 2839, 666, 2014, 26252, 525, 593, 519, 17534, 693, 519, 13675, 540, 519, 29199, 630, 289, 14390, 22223, 781, 30219, 264, 543, 538, 519, 2887, 26508, 13740, 543, 30124, 269, 1323, 26252, 568, 513, 4015, 540, 7783, 5714, 269, 898, 666, 2356, 581, 5701, 609, 11216, 269, 1403, 606, 26252, 1281, 711, 4431, 547, 11216, 267, 596, 949, 2154, 6391, 563, 2005, 568, 1271, 602, 26252, 525, 3330, 519, 10652, 6665, 616, 2901, 5701, 610, 6569, 267, 607, 606, 26252, 602, 28377, 666, 581, 5732, 1272, 17116, 563, 763, 2262, 28341, 8084, 1797, 538, 519, 4636, 1747, 269, 769, 513, 3339, 6379, 267, 519, 6992, 2213, 4212, 18032, 538, 519, 27042, 16298, 269, 1323, 28341, 8084, 6379, 568, 835, 602, 4386, 3544, 519, 27042, 563, 5415, 982, 476, 4817, 260, 540, 28341, 8084, 26691, 2049, 538, 513, 2887, 26508, 8546, 269, 1403, 623, 2839, 10953, 538, 519, 2887, 26508, 13740, 267, 621, 666, 10077, 519, 16298, 540, 519, 13740, 267, 1818, 621, 811, 2352, 585, 5798, 547, 1780, 998, 269, 1403, 513, 6992, 2213, 4212, 4991, 12758, 543, 5956, 547, 1332, 3330, 519, 8546, 267, 621, 666, 2014, 519, 8546, 547, 16802, 267, 799, 666, 3006, 1291, 547, 4049, 4835, 11702, 269, 661, 551, 8084, 6379, 666, 581, 1272, 17116, 563, 2005, 568, 6059, 602, 835, 4807, 538, 2947, 2021, 609, 623, 2839, 3587, 1102, 1068, 850, 607, 513, 1267, 269, 901, 1797, 789, 786, 581, 8572, 547, 1205, 9176, 6923, 269, 623, 2839, 666, 1118, 513, 4807, 1102, 1068, 850, 676, 1085, 18732, 519, 2887, 26508, 13740, 865, 16094, 602, 621, 2306, 621, 7543, 585, 519, 4212, 547, 2951, 1524, 883, 519, 27042, 269, 5548, 11691, 2126, 585, 623, 2839, 666, 2333, 707, 8458, 540, 4742, 1102, 1068, 850, 563, 5649, 811, 1344, 827, 26983, 563, 2252, 596, 1616, 547, 1205, 9176, 1310, 4742, 1102, 1068, 850, 689, 623, 2839, 267, 596, 1223, 2015, 606, 19443, 17748, 4480, 971, 607, 538, 8686, 527, 549, 6992, 5314, 630, 4353, 293, 1040, 2060, 10001, 293, 2126, 267, 5798, 616, 4907, 1227, 6569, 689, 513, 4807, 781, 30124, 543, 1287, 6992, 2213, 609, 14203, 538, 513, 8047, 267, 1354, 1373, 12630, 883, 519, 4807, 781, 27042, 269, 10001, 293, 1281, 711, 723, 513, 1360, 1164, 1967, 2557, 31011, 7982, 547, 1283, 454, 763, 1034, 2500, 1259, 547, 2061, 23856, 12982, 2068, 630, 303, 2839, 264, 568, 547, 2149, 3054, 689, 16770, 10299, 5563, 630, 306, 30454, 1916, 1607, 1797, 1210, 513, 11064, 15333, 21082, 267, 971, 607, 513, 598, 3256, 267, 12339, 573, 558, 610, 17818, 1698, 269, 4446, 8175, 15333, 21082, 2409, 267, 1031, 9846, 543, 5402, 267, 2569, 630, 8117, 798, 711, 4894, 15587, 264, 519, 1981, 540, 3478, 513, 16770, 10299, 3968, 630, 306, 2316, 1916, 2005, 568, 849, 1271, 547, 1205, 2834, 4638, 1072, 2638, 13522, 693, 707, 2199, 4638, 1072, 16758, 269, 5192, 513, 2638, 5346, 952, 596, 1689, 707, 7649, 610, 723, 796, 31695, 3023, 609, 513, 13680, 7649, 267, 610, 952, 596, 1589, 707, 7649, 814, 1044, 2348, 3023, 609, 2576, 3116, 269, 4855, 707, 2199, 4638, 1072, 16758, 563, 5970, 513, 4638, 1072, 2638, 952, 596, 723, 1185, 4638, 3346, 609, 2576, 596, 1589, 949, 723, 1044, 7783, 609, 2901, 513, 16770, 10299, 3968, 610, 623, 2839, 563, 27650, 14893, 568, 513, 5859, 547, 948, 519, 1857, 3442, 519, 1318, 1072, 5796, 538, 519, 2146, 11053, 749, 2725, 2859, 454, 3725, 701, 520, 267, 835, 11325, 1095, 18587, 269, 11814, 538, 4558, 610, 1753, 6765, 2529, 793, 5455, 454, 289, 12864, 938, 23244, 14102, 2533, 6035, 538, 938, 8637, 2529, 2465, 7896, 454, 2171, 616, 8391, 606, 2333, 538, 519, 1297, 540, 13668, 585, 6765, 540, 11955, 1813, 547, 519, 5046, 268, 866, 6855, 269, 30131, 27084, 454, 8196, 938, 13382, 1327, 1807, 3028, 543, 14282, 13428, 333, 781, 14997, 2329, 25032, 15507, 3767, 0, 303, 3951, 4811, 289, 7838, 21203, 630, 28474, 25605, 264, 1107, 2060, 782, 519, 4411, 267, 6777, 543, 4672, 25015, 267, 1004, 616, 3168, 585, 6070, 563, 3719, 875, 798, 596, 917, 799, 2186, 547, 1205, 888, 291, 537, 326, 590, 2660, 7615, 693, 17029, 11502, 10434, 2264, 538, 24398, 269, 26288, 3838, 513, 2370, 4672, 13621, 476, 6200, 269, 3918, 4696, 27749, 281, 595, 4319, 338, 9612, 6115, 6019, 1280, 31932, 476, 4792, 268, 17413, 14114, 671, 3627, 681, 4428, 532, 454, 2108, 305, 1442, 17865, 568, 606, 20522, 1587, 547, 946, 267, 855, 596, 4043, 547, 723, 547, 946, 811, 2223, 590, 2660, 7615, 1767, 563, 3891, 849, 1767, 621, 4465, 1406, 960, 538, 2539, 5210, 267, 15663, 602, 621, 779, 1447, 3742, 2630, 476, 1428, 5232, 563, 3383, 1018, 827, 13101, 17296, 888, 10527, 8799, 3364, 827, 4012, 17296, 568, 602, 621, 3762, 513, 2370, 21225, 3297, 1310, 621, 26088, 13621, 543, 621, 3762, 513, 21225, 1394, 543, 5170, 547, 581, 3742, 585, 513, 1974, 540, 942, 2223, 1767, 590, 2660, 7615, 563, 4517, 875, 798, 1346, 5635, 609, 7513, 17296, 286, 3918, 4696, 27749, 281, 1325, 5586, 1156, 344, 6019, 18614, 476, 276, 5046, 268, 866, 4934, 3691, 6545, 267, 476, 277, 1849, 31255, 769, 12140, 454, 10527, 2601, 1608, 17296, 568, 865, 2442, 568, 1317, 621, 5283, 1206, 693, 2942, 476, 1839, 5232, 2223, 1767, 590, 2660, 7615, 563, 306, 2660, 7615, 849, 3081, 519, 10652, 2280, 1106, 540, 7513, 17296, 568, 1271, 563, 2108, 4322, 2370, 5180, 26005, 786, 2965, 16004, 9475, 267, 16590, 9475, 538, 707, 4672, 543, 2965, 2014, 519, 4672, 547, 11523, 6306, 2223, 646, 1767, 563, 28474, 25605, 3576, 782, 1614, 3029, 540, 6070, 543, 1705, 606, 4603, 547, 1294, 875, 789, 7318, 563, 307, 5281, 856, 7513, 17296, 5249, 519, 16595, 267, 855, 519, 4224, 6070, 729, 849, 8066, 922, 1378, 563, 5475, 1079, 3108, 267, 519, 7513, 17296, 543, 4224, 6070, 530, 21317, 856, 519, 4672, 267, 609, 519, 13101, 17296, 513, 11397, 3791, 8160, 16800, 21832, 306, 281, 29016, 16661, 281, 10088, 2286, 12019, 13571, 8871, 14186, 570, 1941, 5964, 13772, 267, 570, 1941, 5964, 2782, 940, 1306, 17897, 15448, 1677, 12096, 454, 2791, 2904, 4746, 2142, 9314, 539, 769, 1452, 26257, 5240, 12267, 454, 314, 5891, 1790, 739, 338, 7121, 284, 892, 18080, 892, 12109, 3899, 284, 892, 592, 892, 9708, 30648, 318, 2457, 284, 892, 275, 16357, 2639, 18794, 634, 22062, 566, 2201, 634, 918, 291, 25605, 9365, 8525, 454, 26835, 5455, 1677, 11261, 267, 7427, 918, 291, 25605, 2201, 12108, 0, 763, 993, 17789, 323, 8403, 267, 5310, 811, 982, 1022, 824, 2634, 3148, 267, 814, 1044, 26582, 538, 3875, 5778, 17595, 12278, 543, 5778, 16467, 11365, 4713, 269, 898, 568, 851, 540, 513, 1062, 7620, 7960, 547, 3713, 12178, 538, 519, 1604, 543, 1110, 3634, 7766, 6114, 267, 799, 666, 25340, 3310, 1480, 2623, 269, 1403, 922, 12939, 568, 1305, 1932, 1970, 267, 7363, 22480, 3344, 540, 519, 1604, 616, 9228, 607, 12178, 267, 4205, 616, 3908, 267, 543, 4160, 949, 8451, 269, 1403, 1305, 1932, 1164, 267, 1981, 2921, 4679 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17056, 2960, 2068, 281, 6206, 18745, 912, 1103, 513, 1713, 1646, 267, 1079, 15096, 2752, 32112, 723, 2813, 519, 700, 2794, 328, 268, 3682, 309, 659, 6669, 267, 799, 519, 3084, 2229, 1631, 30242, 547, 5010, 1047, 607, 4166, 607, 2009, 538, 1931, 547, 2270, 519, 12176, 540, 700, 17056, 2960, 2068, 602, 814, 7166, 5215, 540, 12418, 2066, 2789, 4095, 2829, 936, 519, 2250, 1896, 4374, 563, 763, 700, 2794, 328, 268, 3682, 309, 659, 6669, 779, 1646, 1282, 519, 3105, 1614, 1296, 729, 4330, 676, 3220, 269, 715, 1511, 523, 27958, 267, 513, 11001, 693, 519, 15096, 2752, 2817, 3194, 10418, 585, 4982, 1149, 538, 670, 776, 3570, 945, 16136, 1177, 519, 6669, 8062, 563, 299, 2794, 328, 268, 3682, 309, 659, 585, 700, 17056, 2960, 2068, 281, 700, 17056, 16164, 8376, 912, 299, 17056, 2960, 2068, 267, 799, 5540, 1312, 16933, 543, 10889, 531, 3996, 543, 568, 4547, 593, 676, 519, 1698, 8692, 2135, 3644, 267, 24283, 922, 2012, 689, 519, 7372, 267, 6109, 12162, 2737, 602, 2408, 593, 519, 2960, 540, 12418, 945, 723, 519, 2783, 563, 8448, 4191, 540, 519, 700, 17056, 2960, 2068, 538, 891, 2831, 1331, 4965, 267, 31792, 26628, 267, 543, 7050, 2892, 10474, 563, 763, 12162, 2737, 5555, 28230, 267, 4611, 538, 519, 2831, 11702, 269, 634, 700, 17056, 2960, 2068, 10194, 4576, 4867, 814, 1100, 1634, 2126, 282, 3079, 267, 4791, 2589, 616, 5097, 7307, 563, 763, 23820, 21479, 6669, 267, 799, 849, 3091, 930, 4027, 1996, 700, 17056, 2960, 2068, 267, 568, 4867, 1373, 3351, 2213, 547, 2061, 519, 2068, 563, 299, 2794, 328, 268, 3682, 309, 659, 585, 700, 17056, 2960, 2068, 281, 6713, 912, 2005, 13408, 21260, 12490, 540, 519, 561, 17056, 2960, 2068, 3644, 2094, 700, 2794, 328, 268, 3682, 309, 659, 568, 513, 2661, 22887, 18050, 12674, 269, 12824, 1031, 4719, 4702, 2553, 1572, 17626, 1780, 1645, 547, 14020, 519, 3644, 12490, 269, 898, 3576, 606, 3003, 476, 272, 269, 276, 1296, 547, 1020, 519, 3617, 22887, 18050, 8833, 585, 700, 2794, 328, 268, 3682, 309, 659, 269, 6969, 2361, 8062, 267, 519, 700, 2794, 328, 268, 3682, 309, 659, 6669, 23384, 3106, 4152, 593, 8983, 543, 17544, 563, 306, 532, 12940, 14828, 22087, 836, 267, 4087, 540, 4880, 1690, 328, 779, 25337, 11910, 968, 2419, 14900, 667, 650, 328, 7536, 763, 2817, 11595, 8274, 7150, 602, 22087, 836, 630, 331, 6327, 540, 4880, 1690, 328, 4427, 1695, 338, 932, 18588, 645, 846, 30778, 25337, 11910, 968, 2419, 14900, 667, 650, 328, 14615, 786, 1631, 4309, 519, 31790, 21073, 540, 4427, 553, 932, 18588, 645, 846, 543, 519, 6574, 1377, 540, 4027, 2009, 896, 14135, 779, 27264, 540, 3933, 3701, 2920, 630, 26822, 289, 1040, 2201, 4864, 476, 280, 267, 476, 1708, 273, 267, 519, 2197, 540, 14135, 9976, 922, 476, 6872, 628, 2817, 4303, 267, 543, 519, 22087, 836, 11599, 3039, 4087, 729, 11280, 607, 519, 476, 4037, 628, 3084, 15224, 563, 303, 611, 836, 568, 513, 521, 14184, 1930, 2361, 28379, 538, 14135, 1141, 267, 538, 5147, 476, 3707, 274, 267, 4880, 1690, 328, 4427, 13757, 932, 18588, 645, 846, 9447, 519, 8360, 968, 22013, 6062, 932, 14900, 1848, 2290, 540, 519, 9510, 1930, 5624, 1869, 538, 946, 2221, 267, 22087, 836, 814, 1713, 3084, 267, 3140, 267, 543, 1514, 1871, 269, 898, 568, 1134, 2000, 27419, 585, 18942, 2621, 899, 15989, 6367, 1782, 267, 25319, 267, 11176, 267, 543, 4672, 19735, 563, 8138, 13757, 932, 18588, 645, 846, 281, 6168, 454, 24465, 28929, 4427, 13757, 932, 18588, 645, 846, 630, 2537, 5130, 476, 6245, 278, 1107, 476, 1240, 4864, 476, 3707, 276, 264, 729, 688, 6150, 607, 513, 5869, 676, 1010, 8284, 2197, 5443, 585, 1010, 1219, 4800, 540, 3703, 4341, 538, 3127, 267, 855, 4427, 13757, 932, 18588, 645, 846, 30778, 29053, 13218, 547, 13303, 5125, 543, 15875, 3567, 2451, 3297, 513, 9371, 12735, 4240, 676, 2278, 23540, 267, 4550, 4149, 30146, 267, 543, 4108, 5821, 269, 7216, 538, 476, 3707, 273, 267, 4436, 543, 4095, 8387, 538, 519, 7981, 13163, 585, 3127, 538, 12670, 543, 4095, 7980, 540, 519, 1473, 27528, 6181, 542, 9619, 4427, 13757, 932, 18588, 645, 846, 607, 4880, 1690, 328, 585, 519, 1101, 942, 269, 898, 568, 27057, 3351, 2213, 782, 2429, 3127, 563, 8138, 13757, 932, 18588, 645, 846, 281, 10897, 611, 13130, 454, 7628, 2622, 2782, 4083, 267, 606, 4095, 10151, 7245, 1634, 607, 10897, 611, 13130, 729, 2813, 538, 5545, 268, 31039, 14135, 269, 898, 729, 3964, 538, 5239, 476, 3707, 274, 543, 729, 7494, 882, 5050, 593, 519, 7276, 540, 3567, 269, 898, 729, 513, 5057, 540, 519, 2797, 3350, 602, 3459, 3544, 540, 3127, 538, 519, 476, 3707, 271, 338, 609, 519, 2832, 540, 796, 1746, 609, 519, 31196, 7060, 547, 1863, 3127, 689, 3703, 1852, 269, 769, 519, 8545, 5933, 540, 2622, 2782, 4083, 267, 4095, 3084, 1235, 538, 24815, 8547, 621, 538, 14135, 609, 2883, 267, 4108, 267, 543, 2797, 1489, 689, 15875, 3567, 269, 634, 2229, 267, 799, 729, 3964, 593, 5181, 476, 272, 267, 476, 3707, 273, 267, 729, 12592, 676, 519, 2093, 540, 4427, 13757, 932, 18588, 645, 846, 267, 945, 6039, 607, 1312, 519, 2212, 540, 1533, 543, 519, 2229, 563, 300, 1410, 4618, 5518, 23083, 4708, 10243, 3366, 676, 476, 274, 3401, 1519, 6751, 3525, 328, 454, 763, 11204, 5518, 267, 1656, 337, 15530, 2494, 3241, 700, 6759, 19649, 5136, 30786, 814, 6069, 602, 519, 1283, 10243, 1058, 1331, 15352, 14731, 267, 519, 6167, 14199, 29731, 267, 21293, 717, 17458, 637, 267, 543, 4095, 6751, 715, 732, 526, 571, 3525, 328, 269, 634, 2832, 540, 519, 10243, 1131, 581, 547, 1459, 513, 11556, 547, 3247, 519, 10617, 1472, 519, 1158, 543, 3914, 606, 6876, 547, 3343, 513, 1854, 576, 585, 693, 2547, 2947, 1296, 269, 634, 10243, 6663, 547, 3247, 10617, 2066, 519, 1158, 543, 3914, 606, 6876, 547, 3343, 513, 1854, 576, 585, 693, 2547, 2947, 1296, 563, 763, 11204, 5518, 568, 4058, 547, 10505, 513, 2854, 11556, 547, 519, 6167, 547, 1711, 519, 10243, 267, 1500, 909, 540, 1614, 1158, 3401, 267, 1519, 6751, 3525, 328, 267, 547, 3895, 513, 1158, 1854, 576, 585, 513, 1974, 540, 2947, 1296, 563, 763, 11204, 5518, 814, 14376, 3624, 267, 6576, 267, 543, 519, 2475, 547, 3343, 4708, 543, 547, 1439, 2112, 3697, 3527, 563, 2026, 829, 519, 5136, 30786, 267, 519, 6069, 1854, 576, 786, 948, 538, 8757, 606, 6876, 538, 519, 2013, 540, 15990, 267, 5840, 543, 21157, 563, 16031, 3525, 328, 543, 824, 3401, 540, 519, 16588, 2276, 616, 4397, 547, 7119, 538, 519, 8400, 950, 519, 2518, 1560, 786, 1865, 519, 16839, 538, 12907, 267, 717, 18054, 853, 8692, 543, 519, 6237, 8082, 936, 15990, 563, 6635, 7217, 2088, 779, 681, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 3957, 6167, 300, 8104, 7709, 779, 2212, 454, 2304, 4810, 14861, 710, 534, 26010, 11464, 267, 681, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 814, 1044, 3957, 10361, 540, 17030, 543, 12751, 13639, 9866, 13996, 585, 519, 2136, 8315, 13639, 9866, 13996, 6828, 538, 3127, 543, 9031, 630, 7419, 300, 8104, 7709, 264, 676, 6167, 14199, 4937, 21293, 717, 17458, 637, 1547, 11683, 4937, 21280, 2946, 4432, 611, 1470, 1325, 322, 664, 540, 772, 2607, 340, 599, 3268, 1524, 538, 12797, 540, 681, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 21586, 540, 18335, 607, 10361, 540, 17030, 543, 12751, 13639, 9866, 13996, 585, 6167, 300, 8104, 7709, 267, 4171, 4305, 568, 827, 547, 581, 6192, 269, 11683, 4937, 1325, 4754, 729, 9684, 539, 676, 519, 14199, 29731, 585, 1010, 6351, 609, 6167, 4708, 15209, 2238, 563, 305, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 281, 6168, 454, 305, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 814, 1185, 513, 1279, 4876, 538, 519, 14861, 710, 534, 13108, 2094, 4271, 908, 607, 513, 544, 26680, 1222, 2006, 689, 519, 13108, 9142, 538, 476, 2735, 279, 267, 2687, 547, 519, 23318, 563, 305, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 1034, 5063, 5249, 609, 519, 17434, 16065, 607, 519, 2489, 8689, 540, 2069, 267, 2866, 267, 543, 14985, 630, 1708, 273, 1916, 26212, 547, 713, 267, 681, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 6039, 607, 519, 13108, 2782, 11071, 3427, 779, 4065, 4972, 12751, 630, 1001, 279, 1070, 519, 3057, 1149, 32691, 18307, 564, 2155, 6387, 630, 289, 3419, 1228, 2155, 6387, 264, 630, 1708, 271, 1700, 1708, 272, 1070, 519, 3057, 1149, 32691, 2155, 6387, 630, 17357, 1186, 2155, 6387, 264, 630, 1708, 271, 1700, 1708, 272, 1070, 543, 519, 16470, 267, 13639, 267, 25220, 267, 543, 5794, 5900, 778, 2946, 538, 6576, 630, 1001, 279, 1700, 1001, 280, 1040, 630, 1001, 277, 268, 1001, 279, 1916, 305, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 281, 19881, 7736, 324, 822, 832, 454, 305, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 729, 513, 9751, 20229, 538, 606, 1977, 13149, 17620, 31118, 10283, 538, 606, 5385, 10872, 609, 14861, 710, 3057, 1149, 630, 1220, 273, 268, 1220, 274, 1916, 305, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 814, 15548, 538, 1079, 4708, 15209, 13485, 267, 1519, 519, 2136, 8315, 570, 16078, 8111, 9679, 9257, 630, 7419, 4811, 302, 264, 538, 476, 1220, 278, 543, 519, 2136, 8315, 13458, 15209, 10414, 538, 30259, 630, 7419, 293, 2975, 24688, 264, 538, 476, 1960, 274, 543, 476, 1960, 275, 563, 12234, 267, 681, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 5249, 585, 519, 2136, 8315, 4886, 19510, 630, 7419, 7894, 264, 538, 4911, 7637, 607, 513, 5274, 9107, 5915, 1456, 8111, 6665, 528, 630, 1960, 278, 268, 1960, 279, 1916, 763, 1893, 1983, 540, 681, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 1331, 2596, 6739, 543, 14082, 563, 305, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 814, 10927, 5232, 689, 661, 4149, 531, 644, 2160, 543, 519, 25220, 2160, 4659, 538, 18335, 563, 7419, 300, 8104, 7709, 1185, 476, 9340, 10986, 18611, 607, 540, 5437, 476, 1708, 272, 267, 1519, 476, 6924, 21127, 543, 476, 6246, 20226, 593, 17030, 269, 634, 1101, 5428, 540, 2136, 8315, 4108, 24319, 9411, 519, 5692, 1858, 538, 5130, 476, 3707, 280, 547, 6895, 519, 1854, 576, 1063, 3127, 543, 9031, 538, 808, 2459, 340, 543, 22758, 267, 2687, 547, 717, 17458, 637, 267, 945, 729, 6340, 950, 9683, 6167, 300, 8104, 7709, 22071, 538, 5771, 21171, 538, 5988, 476, 1708, 271, 563, 15307, 21521, 538, 5130, 476, 3707, 280, 267, 6167, 300, 8104, 7709, 269, 634, 11645, 540, 6167, 300, 8104, 7709, 723, 1044, 547, 4585, 267, 547, 519, 4110, 1316, 27809, 267, 7835, 4143, 547, 519, 7453, 11268, 540, 519, 24044, 13933, 540, 5412, 476, 1704, 267, 476, 3192, 272, 267, 799, 4553, 519, 476, 3192, 272, 3127, 6261, 8140, 4655, 543, 513, 2663, 24044, 13933, 6876, 267, 543, 547, 1867, 972, 517, 547, 519, 14199, 29731, 269, 2991, 519, 3244, 5055, 15716, 543, 519, 1671, 5224, 5250, 540, 519, 7412, 540, 6513, 267, 3127, 814, 10645, 602, 6167, 300, 8104, 7709, 814, 4503, 782, 10083, 543, 568, 1100, 3476, 3730, 630, 299, 334, 290, 1916, 17220, 700, 1030, 628, 32752, 4303, 4767, 593, 476, 1724, 628, 4864, 454, 17220, 700, 1030, 628, 32752, 4303, 568, 4767, 593, 4864, 476, 1724, 2066, 519, 1158, 269, 634, 1554, 568, 4767, 547, 6318, 4656, 827, 519, 2451, 344, 1004, 779, 1995, 609, 2713, 538, 513, 1318, 11804, 8789, 1158, 269, 634, 1554, 849, 19082, 4656, 593, 2152, 5185, 676, 2451, 11804, 619, 267, 19838, 519, 2956, 540, 519, 2027, 2115, 585, 2451, 26370, 1453, 543, 519, 10171, 585, 2451, 11804, 619, 547, 1020, 18624, 563, 17220, 700, 1030, 628, 32752, 4303, 476, 1708, 273, 281, 19043, 454, 763, 1554, 6663, 547, 6318, 4656, 827, 1373, 2451, 26370, 538, 513, 15866, 1318, 26370, 1158, 269, 898, 22842, 2451, 26370, 1004, 779, 22464, 543, 3604, 267, 513, 15410, 540, 8103, 16030, 5722, 547, 4557, 829, 1298, 540, 519, 1158, 779, 2551, 563, 17220, 700, 1030, 628, 32752, 4303, 281, 3778, 454, 17220, 700, 1030, 628, 32752, 4303, 729, 9250, 676, 519, 11833, 607, 606, 5993, 2680, 593, 476, 1724, 628, 4864, 476, 1960, 273, 950, 682, 325 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10598, 566, 20438, 269, 4033, 17161, 3651, 2418, 585, 1142, 4781, 267, 971, 607, 519, 942, 13050, 8884, 269, 4256, 3898, 568, 8032, 899, 1341, 4486, 5320, 284, 7407, 269, 634, 13214, 3681, 616, 912, 8196, 1496, 2710, 711, 946, 316, 27427, 950, 13214, 532, 513, 6389, 2012, 7746, 269, 634, 9949, 2623, 568, 547, 946, 772, 7894, 267, 4849, 585, 589, 311, 15709, 610, 26577, 15709, 13668, 267, 547, 946, 513, 27427, 4276, 563, 8196, 1496, 2710, 711, 946, 316, 27427, 950, 13214, 532, 519, 2012, 7746, 269, 1341, 314, 17472, 316, 307, 9573, 781, 14595, 16105, 2488, 18807, 17356, 269, 966, 290, 6763, 585, 14044, 5547, 563, 296, 3913, 648, 519, 14443, 540, 519, 772, 7894, 3210, 267, 711, 1427, 787, 609, 27427, 269, 27427, 1427, 1845, 616, 2196, 676, 9949, 563, 30787, 513, 3406, 1592, 602, 3568, 513, 2582, 6389, 1474, 17575, 5526, 547, 581, 9138, 676, 519, 6389, 29660, 1673, 1311, 633, 538, 270, 31756, 270, 637, 565, 341, 269, 20813, 267, 543, 519, 9612, 1592, 4393, 568, 13087, 267, 607, 952, 519, 1341, 14142, 4781, 568, 2016, 563, 288, 3406, 1592, 602, 568, 3989, 1210, 519, 1496, 4777, 711, 946, 316, 3406, 1592, 610, 6389, 29660, 1673, 1311, 1161, 538, 5543, 341, 269, 20813, 630, 604, 1022, 1040, 634, 3406, 1592, 568, 711, 1031, 676, 9949, 563, 8253, 5227, 607, 513, 28395, 585, 1341, 314, 7224, 316, 14142, 563, 1607, 4781, 1281, 4986, 269, 1261, 568, 1031, 547, 1683, 17356, 609, 4587, 8747, 540, 6226, 602, 616, 27358, 547, 711, 2936, 16163, 518, 17514, 563, 18183, 2682, 519, 1496, 2710, 711, 19022, 316, 5084, 630, 9418, 1239, 264, 3787, 538, 519, 13214, 269, 634, 5084, 3787, 1631, 814, 3044, 2495, 1152, 538, 519, 3210, 267, 855, 711, 538, 519, 13214, 267, 855, 585, 1264, 28467, 621, 568, 2009, 547, 19022, 713, 2773, 538, 519, 13214, 563, 18183, 2682, 519, 1496, 2710, 711, 19022, 316, 7131, 630, 13765, 16981, 264, 3787, 538, 519, 13214, 269, 1261, 13668, 602, 519, 7746, 711, 2196, 519, 667, 301, 7704, 4488, 26117, 540, 519, 3210, 1344, 563, 763, 28251, 630, 7528, 2231, 25276, 264, 3787, 12122, 538, 519, 7004, 13214, 269, 901, 3787, 568, 27358, 676, 9949, 267, 799, 1797, 602, 2007, 7363, 15920, 513, 25276, 13214, 269, 1234, 15479, 542, 568, 8850, 16981, 950, 596, 946, 519, 13214, 4781, 1341, 985, 14142, 610, 1341, 10177, 576, 563, 2691, 713, 4781, 568, 27358, 267, 6226, 8942, 547, 12398, 519, 22265, 6389, 2012, 7746, 602, 3568, 519, 3060, 10126, 585, 799, 519, 2012, 568, 547, 581, 22646, 543, 10525, 519, 14298, 288, 2594, 585, 1142, 6389, 2012, 7746, 538, 519, 3060, 10126, 563, 3519, 3200, 519, 21285, 2619, 10250, 547, 519, 2012, 602, 596, 1616, 547, 13214, 689, 519, 3597, 2012, 7746, 269, 32274, 568, 711, 1031, 676, 9949, 269, 4495, 16439, 568, 13087, 267, 6226, 3096, 606, 27952, 13214, 547, 8207, 519, 2012, 547, 581, 844, 518, 1221, 269, 1261, 786, 4159, 513, 3210, 689, 1142, 7746, 602, 3096, 519, 8207, 13214, 267, 607, 26518, 689, 519, 3597, 7746, 563, 306, 1115, 519, 3355, 6085, 538, 519, 3977, 602, 6920, 519, 2007, 4528, 543, 519, 13214, 3681, 1031, 269, 22227, 616, 10268, 676, 9949, 563, 17809, 728, 513, 5618, 3210, 269, 634, 9949, 1871, 568, 547, 4159, 519, 16253, 1344, 538, 513, 8231, 846, 3898, 563, 2691, 519, 1341, 26211, 4781, 568, 13087, 267, 519, 7379, 2232, 543, 2823, 1297, 3177, 547, 519, 2626, 616, 10268, 1496, 528, 711, 10268, 4940, 1403, 513, 2110, 3898, 2626, 568, 16761, 267, 519, 2707, 2232, 543, 2823, 1297, 540, 519, 7746, 13859, 547, 519, 2626, 616, 711, 10268, 676, 9949, 563, 763, 6085, 3515, 538, 519, 7004, 3977, 616, 10268, 269, 634, 9949, 1871, 568, 547, 4159, 513, 6085, 563, 1607, 13214, 4781, 5036, 519, 4159, 7194, 281, 1879, 519, 13214, 568, 1500, 267, 519, 2450, 540, 519, 2626, 267, 543, 865, 593, 269, 634, 13214, 7194, 616, 10268, 676, 9949, 563, 11514, 680, 904, 519, 13214, 7662, 602, 729, 2366, 1496, 2254, 10268, 4940, 634, 9949, 568, 711, 10268, 563, 2691, 519, 2626, 568, 8120, 267, 519, 1966, 6712, 540, 519, 13214, 7662, 568, 10268, 269, 634, 1966, 3296, 568, 10268, 676, 9949, 607, 513, 6085, 563, 11514, 680, 904, 519, 2626, 851, 540, 519, 1496, 2710, 711, 1397, 316, 2626, 269, 18224, 539, 676, 9949, 563, 11514, 680, 904, 519, 10479, 6712, 540, 519, 1496, 4777, 711, 1397, 316, 2626, 269, 18224, 539, 676, 9949, 563, 11514, 680, 904, 606, 3606, 851, 540, 519, 1496, 2710, 711, 1397, 316, 2626, 269, 18224, 539, 676, 9949, 563, 3519, 14808, 999, 610, 1579, 1513, 1022, 4159, 17514, 563, 18183, 2682, 519, 942, 13050, 585, 519, 13214, 547, 570, 7643, 269, 634, 9949, 568, 476, 276, 7643, 269, 1403, 570, 568, 27358, 547, 513, 1297, 1447, 982, 476, 272, 267, 519, 13214, 942, 13050, 568, 476, 272, 7643, 563, 18183, 2682, 519, 1427, 787, 8942, 547, 6494, 513, 772, 7894, 13214, 7662, 547, 519, 7746, 547, 513, 267, 3079, 540, 519, 9949, 476, 274, 2053, 269, 1403, 589, 568, 1447, 982, 610, 3160, 547, 476, 271, 267, 1287, 476, 272, 568, 1031, 607, 519, 1427, 787, 1293, 563, 2690, 2407, 7156, 267, 519, 12122, 1590, 2408, 538, 519, 1297, 540, 2798, 538, 2012, 667, 269, 634, 9949, 1871, 568, 3989, 1210, 519, 715, 25854, 3948, 538, 270, 31756, 270, 637, 565, 341, 269, 20813, 267, 610, 476, 272, 267, 952, 972, 568, 1100, 26998, 1824, 3948, 269, 18780, 609, 7864, 2798, 616, 14648, 607, 3448, 4408, 543, 22646, 676, 23792, 29660, 1673, 1311, 1161, 538, 519, 2361, 610, 3561, 270, 31756, 270, 637, 565, 341, 269, 20813, 538, 519, 3406, 1592, 563, 18183, 2682, 519, 772, 7894, 5048, 17280, 2450, 547, 581, 645, 25466, 1210, 11581, 10064, 271, 269, 634, 5021, 543, 5934, 2418, 585, 519, 10889, 619, 616, 476, 277, 4649, 3374, 543, 476, 271, 267, 6606, 269, 18880, 3564, 713, 2039, 616, 8850, 17031, 547, 519, 14282, 4570, 1871, 563, 11514, 680, 904, 2147, 14298, 288, 6438, 5638, 538, 513, 1134, 1673, 564, 9229, 267, 3818, 11060, 3898, 609, 28505, 14391, 725, 269, 634, 9949, 1871, 568, 547, 4159, 513, 2594, 593, 1142, 1367, 1899, 865, 602, 519, 2780, 5543, 1407, 519, 3977, 540, 519, 2007, 563, 5415, 982, 835, 13214, 454, 14707, 781, 645, 18853, 280, 7028, 28408, 2789, 14511, 593, 519, 4971, 1899, 630, 611, 6463, 2934, 602, 1489, 519, 6363, 645, 2255, 3561, 4781, 1040, 3962, 13214, 666, 946, 922, 1378, 9206, 11353, 267, 3681, 267, 543, 13214, 3681, 563, 1103, 713, 2013, 267, 538, 519, 4971, 11060, 16105, 4330, 1657, 267, 1142, 13214, 4661, 4564, 606, 1367, 13214, 269, 3962, 835, 568, 1500, 909, 540, 1022, 3044, 3681, 543, 17514, 267, 519, 2012, 547, 581, 844, 518, 1221, 267, 519, 18593, 13214, 1826, 267, 543, 519, 1362, 267, 2059, 609, 1022, 13214, 3681, 602, 4019, 547, 519, 13214, 563, 2791, 666, 849, 946, 519, 6820, 4015, 540, 13214, 3681, 602, 616, 4570, 585, 1022, 13214, 269, 634, 2518, 13214, 4781, 1590, 9551, 324, 519, 24042, 540, 519, 1101, 2012, 267, 1362, 267, 1826, 267, 4781, 267, 9206, 267, 543, 13214, 3681, 593, 519, 4971, 1899, 269, 7102, 2518, 13214, 4781, 630, 21955, 585, 519, 1341, 314, 17472, 316, 290, 13270, 4781, 264, 666, 581, 19268, 676, 519, 1739, 13214, 2027, 4781, 269, 1280, 1383, 912, 14707, 1341, 336, 337, 8940, 269, 4593, 3820, 1022, 14870, 476, 14096, 269, 271, 269, 271, 269, 272, 568, 322, 3820, 562, 338, 1341, 17472, 304, 305, 1397, 2007, 1215, 547, 798, 1614, 14511, 689, 519, 4971, 1899, 281, 606, 17062, 13214, 585, 8940, 269, 4593, 3820, 267, 513, 476, 14096, 269, 271, 269, 271, 269, 272, 9258, 13214, 267, 2059, 609, 606, 594, 22085, 2594, 13214, 585, 1085, 3820, 269, 634, 1341, 304, 305, 6820, 13214, 4781, 568, 4294, 865, 602, 2007, 10525, 519, 3355, 13214, 585, 1142, 13214, 269, 634, 2063, 13214, 814, 513, 2199, 13214, 4781, 540, 1341, 17472, 304, 305, 267, 799, 6920, 602, 2007, 1281, 711, 4159, 519, 3355, 13214, 950, 10478, 585, 22085, 5638, 585, 568, 322, 3820, 563, 288, 6093, 2007, 1289, 568, 2147, 547, 912, 14707, 7711, 338, 13996, 2012, 1826, 1141, 912, 11243, 610, 7379, 2232, 540, 519, 2012, 7746, 596, 1616, 547, 13214, 269, 2052, 581, 513, 12297, 1673, 601, 574, 1243, 7379, 341, 275, 2232, 610, 513, 3935, 1673, 601, 574, 1243, 7379, 341, 277, 2232, 269, 1879, 519, 7746, 9936, 568, 3177, 676, 519, 3984, 267, 2007, 5543, 1407, 602, 2012, 1354, 13214, 532, 519, 4408, 13996, 269, 1403, 1100, 7746, 6724, 616, 2139, 267, 2007, 3277, 547, 270, 31756, 270, 637, 565, 341, 269, 20813, 267, 543, 1287, 13214, 519, 2012, 13763, 7396, 972, 269, 2598, 680, 904, 606, 2626, 689, 519, 6389, 2012, 7746, 563, 763, 2012, 540, 519, 4199, 2594, 602, 786, 581, 844, 518, 1221, 563, 11514, 680, 904, 519, 1826, 540, 13214, 596, 1616, 268, 1415, 267, 589, 267, 631, 311, 267, 590, 5456, 267, 543, 1022, 4570, 13214, 1826, 269, 1403, 1100, 1826, 9936, 568, 13859, 267, 2007, 786, 14892, 513, 13214, 1996, 2594, 589, 563, 14707, 4971, 19672, 630, 516, 2745, 9984, 288, 638, 534, 781, 1353, 0, 306, 1440, 5424, 6732, 4750, 19964, 476, 5908, 271, 268, 1220, 271, 454, 20082, 5525, 941, 5342, 547, 3313, 519, 2360, 540, 513, 20533, 6742, 1014, 1604, 593, 519, 6668, 540, 18714, 14471, 269, 3057, 10719, 10001, 1239, 941, 8246, 547, 3715, 519, 6742, 1014, 2203, 269, 4303, 270, 9519, 15203, 267, 2837, 267, 11195, 267, 2604, 267, 11626, 23466, 543, 3859, 23735, 2747, 941, 6417, 538, 513, 476, 11740, 271, 10264, 274, 11191, 12068, 693, 519, 645, 27739, 13573, 6611, 29896, 12524, 269, 5843, 13060, 1031, 538, 713, 1353, 3769, 7080, 5014, 540, 281, 289, 26808, 5705, 18442, 15254, 8542, 9528, 24032, 267, 513, 2618, 5268, 32281, 838, 648, 845, 518, 267, 543, 519, 7103, 8659, 538, 513, 3037, 900, 13955, 5423, 689, 1896, 11934, 269, 1325, 1172, 1824, 540, 1142, 20022, 941, 5116, 593, 5094, 25062, 16243, 5374, 1544, 3832, 1206, 267, 2011, 12015, 267, 543, 17479, 538, 476, 275, 6106, 538, 25062, 1929, 31354, 269, 2290, 28451, 540, 519, 5439, 5116, 593, 519, 2627, 4607, 519, 2698, 3859, 8552, 630, 271, 269, 4510, 3618, 3859, 21635, 5148, 519, 14230, 540, 519, 2627, 5439, 4607, 519, 1657, 2126, 14263, 519, 22292, 630, 10013, 264, 6712, 540, 519, 8552, 269, 4427, 338, 16577, 5439, 941, 5116, 538, 1929, 31354, 693, 17909, 540, 476, 271, 269, 276, 267, 476, 272, 269, 276, 543, 476, 274, 538, 269, 27834, 1239, 941, 5833, 585, 12068, 4598, 5712, 540, 476, 273, 267, 476, 275, 267, 543, 476, 279, 2395, 269, 1452, 1239, 5815, 602, 281, 630, 272, 264, 7103, 6534, 547, 519, 2698, 3859, 8552, 1705, 711, 7639, 267, 630, 273, 264, 513, 942, 8200, 267, 476, 272, 547, 476, 274, 2845, 267, 5786, 538, 2338, 7018, 538, 519, 2627, 5439, 602, 4607, 519, 3859, 8552, 14263, 11158, 267, 543, 630, 274, 264, 7449, 16577, 6668, 9867, 609, 3178, 543, 1826, 610, 11248, 563, 13911, 540, 23839, 281, 0, 763, 688, 516, 27894, 883, 519, 12475, 18857, 543, 14902, 338, 693, 922, 3500, 1145, 269, 1924, 789, 723, 513, 5198, 547, 1294, 945, 568, 519, 16595, 3662, 538, 519, 4104, 269, 1809, 519, 688, 516, 4991, 26531, 593, 519, 1259, 547, 519, 3803, 9206, 910, 945, 786, 3094, 888, 1607, 17157, 1223, 581, 1031, 547, 1451, 875, 547, 2161, 519, 6476, 2453, 538, 4457, 1412, 325, 2120, 982, 596, 3299, 1412, 1492, 1482, 3432, 262, 610, 1412, 2196, 5488, 8339, 634, 4116, 1223, 946, 519, 17157, 547, 2307, 519, 1053, 547, 5635, 519, 15529, 543, 519, 14854, 693, 519, 1114, 5933, 540, 519, 5198, 269, 32167, 2812, 1223, 2328, 513, 2241, 1909, 1404, 676, 2933, 2687, 547, 519, 1377, 540, 741, 4457, 269, 0, 12709, 16193, 6611, 454, 7468, 10675, 3549, 899, 6611, 311, 543, 645, 27739, 723, 3323, 547, 1491, 519, 1291, 538, 30768, 781, 15292, 883, 2230, 563, 24618, 568, 3458, 5446, 998, 2230, 693, 476, 272, 269, 274, 2929, 18890, 269, 589, 2241, 14318, 676, 513, 5449, 8331, 10196, 2982, 1018, 602, 5654, 899, 563, 24618, 25057, 519, 3141, 267, 799, 25057, 519, 4099, 540, 519, 27305, 10158, 14925, 267, 799, 568, 3294 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1607, 568, 519, 1360, 1101, 1007, 3758, 540, 519, 3786, 454, 1721, 1775, 538, 2039, 263, 272, 267, 476, 1015, 2187, 825, 1820, 3488, 295, 7637, 1412, 2608, 630, 328, 2608, 476, 273, 3738, 2020, 320, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 6540, 1721, 1297, 538, 513, 912, 825, 1820, 2891, 296, 1294, 14307, 1297, 267, 834, 3529, 4882, 15419, 2745, 3488, 19226, 632, 3288, 3632, 320, 17210, 1721, 1775, 538, 2039, 263, 272, 267, 476, 1428, 2187, 825, 1820, 3488, 3849, 3930, 1412, 2608, 630, 328, 2608, 476, 274, 3738, 994, 8931, 2745, 3488, 19226, 632, 3288, 3632, 320, 5073, 0, 5228, 28184, 5793, 1104, 2608, 1477, 5814, 6538, 1477, 5228, 7817, 1104, 2608, 1477, 5814, 8142, 532, 24653, 5035, 2871, 328, 6769, 825, 5727, 7666, 328, 1362, 910, 519, 1362, 602, 1711, 519, 717, 21397, 538, 713, 1788, 1477, 825, 543, 6023, 782, 519, 1919, 538, 4395, 540, 519, 7817, 1688, 2401, 18851, 5897, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1582, 17085, 1304, 815, 1849, 1304, 3890, 476, 1948, 1711, 7817, 1843, 1477, 1038, 1582, 269, 27665, 5334, 10547, 815, 570, 330, 14052, 1038, 1582, 269, 758, 815, 8771, 1477, 1038, 1948, 1711, 519, 2272, 5496, 540, 519, 1368, 328, 1477, 1038, 1582, 6230, 664, 318, 27665, 5334, 10547, 14052, 1038, 1582, 17902, 815, 7183, 1477, 1038, 1582, 269, 23298, 318, 18782, 815, 7183, 1477, 1038, 1582, 269, 23298, 5334, 10547, 815, 7183, 1477, 1038, 1582, 6745, 787, 318, 28785, 5334, 10547, 815, 7183, 1477, 1038, 1582, 30994, 20713, 318, 8421, 514, 26748, 318, 7901, 815, 7183, 1477, 1038, 1582, 4877, 817, 5320, 318, 8421, 514, 26748, 318, 7901, 815, 7183, 1477, 1038, 1582, 30994, 20713, 318, 13765, 815, 7183, 1477, 1038, 1582, 4877, 817, 5320, 318, 13765, 815, 7183, 1477, 1038, 1582, 28802, 514, 5334, 10547, 815, 7183, 1477, 1038, 1582, 30994, 20713, 815, 7183, 1477, 1038, 1582, 4877, 817, 5320, 815, 7183, 1477, 1038, 1582, 4877, 817, 5320, 26748, 318, 7901, 815, 7183, 1477, 1038, 1582, 30994, 20713, 26748, 318, 7901, 815, 7183, 1477, 1038, 1582, 4732, 793, 318, 1575, 5334, 10547, 815, 7183, 1477, 1038, 1582, 269, 4289, 7901, 815, 7183, 1477, 1038, 1582, 12500, 4265, 815, 8771, 1477, 1038, 1582, 27841, 815, 834, 29177, 1038, 1582, 269, 852, 15220, 520, 815, 834, 321, 5802, 4751, 29177, 1038, 1582, 269, 4289, 318, 8588, 815, 1496, 15947, 1038, 1582, 6155, 1112, 12173, 8548, 612, 1137, 815, 15079, 1477, 1038, 1582, 269, 3240, 12173, 815, 834, 29177, 1038, 1582, 17085, 1304, 12173, 9078, 8475, 815, 7183, 5897, 825, 1219, 678, 29764, 8548, 20687, 4311, 8029, 1038, 5727, 1477, 1038, 8142, 781, 1599, 602, 7227, 547, 4309, 5048, 1477, 1038, 5727, 1477, 1038, 1247, 711, 1582, 12500, 4265, 6769, 2018, 1780, 1477, 1038, 1247, 6936, 6769, 2018, 678, 29764, 318, 916, 326, 815, 1582, 17085, 1304, 269, 21683, 341, 8548, 20687, 14052, 2018, 1820, 16868, 29764, 318, 916, 326, 3418, 2018, 1582, 269, 8518, 548, 318, 916, 326, 16868, 29764, 318, 916, 326, 10142, 825, 1219, 6023, 318, 916, 326, 4311, 267, 678, 29764, 318, 916, 326, 8029, 1038, 5727, 1477, 1038, 1599, 602, 6023, 519, 1368, 328, 609, 519, 6835, 602, 1352, 4991, 1477, 1038, 5727, 1477, 1038, 547, 318, 3369, 558, 815, 834, 29177, 1038, 952, 834, 265, 257, 538, 678, 29764, 318, 916, 326, 281, 476, 1948, 2608, 910, 7696, 547, 519, 1592, 4216, 519, 2012, 540, 519, 7218, 1477, 2018, 1582, 269, 4289, 7901, 318, 12133, 16868, 29764, 318, 916, 326, 21858, 2891, 265, 8442, 314, 271, 29573, 1038, 8640, 834, 260, 257, 538, 678, 29764, 318, 916, 326, 281, 476, 1948, 4939, 910, 4991, 519, 2012, 540, 519, 7817, 689, 519, 21189, 610, 1129, 318, 1575, 538, 7817, 1688, 2401, 1477, 2018, 1582, 269, 3240, 12173, 815, 678, 29764, 318, 916, 326, 21858, 2891, 260, 8442, 314, 271, 15947, 2018, 1582, 17085, 1304, 12173, 9078, 8475, 9131, 3667, 11172, 815, 1582, 269, 3240, 12173, 1477, 1038, 8640, 834, 261, 257, 538, 678, 29764, 318, 916, 326, 281, 476, 1948, 1299, 910, 4357, 5048, 1477, 2018, 547, 318, 3369, 558, 815, 678, 29764, 318, 916, 326, 21858, 2891, 261, 8442, 314, 271, 15947, 2018, 678, 29764, 318, 916, 326, 815, 678, 29764, 318, 916, 326, 21858, 2891, 261, 8442, 314, 272, 15947, 2018, 952, 547, 318, 3369, 558, 538, 1582, 6155, 1112, 12173, 8548, 612, 1137, 281, 476, 1948, 1711, 610, 1039, 547, 519, 8675, 910, 630, 4486, 284, 2012, 264, 630, 7407, 815, 20444, 326, 3418, 3546, 1582, 6155, 1112, 12173, 8548, 612, 1137, 314, 1729, 318, 3369, 558, 4940, 6572, 16868, 29764, 318, 916, 326, 3418, 2018, 3116, 6769, 3546, 1582, 6155, 1112, 12173, 8548, 612, 1137, 269, 26303, 20719, 1729, 318, 3369, 558, 281, 1496, 21683, 341, 318, 916, 326, 316, 348, 3418, 1038, 3116, 281, 476, 1948, 13739, 6835, 1477, 2018, 547, 318, 3369, 558, 815, 834, 321, 5802, 4751, 29177, 2018, 952, 834, 321, 5802, 4751, 257, 538, 1582, 6155, 1112, 12173, 8548, 612, 1137, 281, 476, 1948, 1711, 610, 1039, 547, 519, 8675, 910, 1477, 3546, 1948, 630, 4486, 284, 13739, 264, 630, 7407, 815, 20444, 326, 3418, 3546, 1582, 6155, 1112, 12173, 8548, 612, 1137, 14277, 321, 5802, 4751, 257, 4940, 6572, 16868, 29764, 318, 916, 326, 3418, 2018, 3116, 6769, 3546, 1582, 6155, 1112, 12173, 8548, 612, 1137, 269, 26303, 20719, 257, 321, 5802, 4751, 9899, 1496, 21683, 341, 318, 916, 326, 316, 348, 3418, 1038, 952, 547, 318, 3369, 558, 2652, 1582, 269, 852, 15220, 520, 281, 476, 1948, 1403, 519, 7817, 568, 593, 519, 30699, 781, 2012, 538, 700, 8780, 19447, 311, 543, 646, 4309, 513, 5048, 1477, 2018, 1948, 1287, 519, 2786, 5048, 786, 581, 2854, 547, 519, 5496, 1477, 2018, 1582, 17902, 269, 20813, 2682, 263, 8063, 8782, 7538, 20298, 2018, 1582, 17902, 27044, 263, 21715, 267, 678, 29764, 318, 916, 326, 1341, 1412, 315, 333, 20298, 2018, 1582, 17902, 269, 20813, 2682, 263, 8063, 8782, 4134, 12574, 262, 10142, 825, 1219, 1129, 318, 1575, 4311, 8029, 1038, 5727, 22056, 519, 1129, 318, 1575, 5496, 18851, 1477, 1038, 1582, 4732, 793, 318, 1575, 5334, 10547, 815, 570, 963, 767, 4311, 269, 27665, 5334, 10547, 3418, 1038, 1582, 4732, 793, 318, 1575, 5334, 10547, 26644, 2891, 338, 793, 318, 1575, 14744, 1038, 1582, 4732, 793, 318, 1575, 5334, 10547, 269, 613, 5852, 2891, 4968, 343, 7742, 14744, 1038, 22443, 4311, 4732, 793, 318, 1575, 5334, 10547, 267, 1257, 284, 3269, 1040, 17569, 14052, 1038, 27024, 9078, 762, 815, 22443, 4311, 4732, 793, 318, 1575, 5334, 10547, 267, 1257, 6889, 5825, 20713, 14744, 1038, 27024, 9078, 762, 4877, 871, 14052, 1038, 1582, 30994, 20713, 815, 21642, 309, 541, 14052, 1038, 1582, 4877, 817, 5320, 815, 21642, 309, 541, 14052, 1038, 1582, 30994, 20713, 26748, 318, 7901, 815, 28678, 4311, 4732, 793, 318, 1575, 5334, 10547, 267, 1257, 19702, 762, 284, 1345, 30994, 20713, 3418, 1038, 1582, 30994, 20713, 26748, 318, 7901, 4877, 871, 14052, 1038, 10957, 9078, 762, 815, 22443, 4311, 4732, 793, 318, 1575, 5334, 10547, 267, 1257, 6889, 27879, 5320, 14744, 1038, 10957, 9078, 762, 4877, 871, 14052, 1038, 1582, 4877, 817, 5320, 26748, 318, 7901, 815, 28678, 4311, 4732, 793, 318, 1575, 5334, 10547, 267, 1257, 19702, 762, 284, 1345, 4877, 817, 5320, 267, 1397, 8782, 265, 20298, 1038, 1582, 4877, 817, 5320, 26748, 318, 7901, 4877, 871, 14052, 1038, 22443, 4311, 4732, 793, 318, 1575, 5334, 10547, 267, 1257, 284, 3269, 1040, 17569, 14052, 1038, 29502, 4311, 4732, 793, 318, 1575, 5334, 10547, 267, 1257, 6889, 338, 793, 318, 1575, 2580, 8700, 284, 1015, 267, 4463, 284, 272, 267, 536, 326, 6889, 333, 8283, 2580, 535, 326, 6889, 19009, 2580, 1477, 25639, 4971, 284, 1345, 4732, 793, 318, 1575, 318, 13765, 1040, 17569, 31476, 825, 1219, 21189, 4311, 8029, 1038, 5727, 22056, 519, 21189, 5496, 18851, 1477, 1038, 1582, 28802, 514, 5334, 10547, 815, 570, 963, 767, 4311, 269, 27665, 5334, 10547, 3418, 1038, 1582, 28802, 514, 5334, 10547, 26644, 2891, 19868, 514, 14744, 1038, 1582, 28802, 514, 5334, 10547, 269, 613, 5852, 2891, 4968, 343, 7742, 14744, 1038, 22443, 4311, 28802, 514, 5334, 10547, 267, 1257, 284, 3269, 1040, 17569, 14052, 1038, 1582, 30994, 20713, 318, 13765, 815, 21642, 309, 541, 14052, 1038, 1582, 4877, 817, 5320, 318, 13765, 815, 21642, 309, 541, 14052, 1038, 22443, 4311, 28802, 514, 5334, 10547, 267, 1257, 6889, 5825, 20713, 20257, 17569, 14052, 1038, 1582, 30994, 20713, 318, 8421, 514, 26748, 318, 7901, 815, 28678, 4311, 28802, 514, 5334, 10547, 267, 1257, 19702, 762, 284, 1345, 30994, 20713, 318, 13765, 3418, 1038, 1582, 30994, 20713, 318, 8421, 514, 26748, 318, 7901, 4877, 871, 14052, 1038, 22443, 4311, 28802, 514, 5334, 10547, 267, 1257, 284, 3269, 1040, 17569, 14052, 1038, 22443, 4311, 28802, 514, 5334, 10547, 267, 1257, 6889, 27879, 5320, 20257, 17569, 14052, 1038, 1582, 4877, 817, 5320, 318, 8421, 514, 26748, 318, 7901, 815, 28678, 4311, 28802, 514, 5334, 10547, 267, 1257, 19702, 762, 284, 1345, 4877, 817, 5320, 318, 13765, 267, 1397, 8782, 265, 20298, 1038, 1582, 4877, 817, 5320, 318, 8421, 514, 26748, 318, 7901, 4877, 871, 14052, 1038, 22443, 4311, 28802, 514, 5334, 10547, 267, 1257, 284, 3269, 1040, 17569, 14052, 1038, 29502, 4311, 28802, 514, 5334, 10547, 267, 1257, 6889, 19868, 514, 2580, 8700, 284, 1015, 267, 4463, 284, 272, 267, 536, 326, 6889, 333, 8283, 2580, 535, 326, 6889, 19009, 2580, 1477, 25639, 4971, 284, 1345, 28802, 514, 318, 13765, 1040, 17569, 31476, 825, 1219, 1129, 318, 1575, 318, 13765, 4311, 8029, 1038, 5727, 13765, 609, 519, 7817, 1688, 2401, 602, 519, 27024, 711, 538, 946, 18851, 1477, 1038, 27024, 318, 16769, 815, 1582, 30994, 20713, 10947, 14052, 1038, 10957, 318, 16769, 815, 1582, 4877, 817, 5320, 10947, 14052, 1038, 952, 1582, 30994, 20713, 10947, 3890, 2652, 15234, 610, 1582, 4877, 817, 5320, 10947, 3890, 2652, 15234, 6769, 2018, 1582, 6745, 787, 318, 28785, 14052, 1038, 3116, 6769, 2018, 1582, 17085, 1304, 4732, 754, 8548, 20687, 263, 639, 20713, 318, 16769, 1341, 834, 258, 257, 1341, 10957, 318, 16769, 3418, 2018, 678, 29764, 318, 916, 326, 815, 1582, 17085, 1304, 269, 21683, 341, 8548, 20687, 14052, 2018, 1820, 16868, 29764, 318, 916, 326, 3418, 2018, 1582, 30994, 20713, 26748, 318, 7901, 19709, 8541, 263, 271, 267, 13673, 291, 3418, 2018, 1582, 4877, 817, 5320, 26748, 318, 7901, 19709, 8541, 263, 271, 267, 13673, 291, 3418, 2018, 952, 834, 2224, 257, 538, 678, 29764, 318, 916, 326, 6769, 3546, 1582, 6745, 787, 318, 28785, 14052, 2018, 3116, 6769, 3546, 1582, 269, 758, 815, 6936, 1477, 3546, 1582, 269, 27665, 5334, 10547, 6155, 652, 5797, 31476, 825, 1219, 21189, 318, 13765, 4311, 8029, 1038, 5727, 13765, 609, 519, 7817, 1688, 2401, 602, 519, 27024, 543, 519, 10957, 616, 15502, 18851, 1477, 1038, 27024, 272, 815, 1582, 30994, 20713, 318, 13765, 10947, 14052, 1038, 10957, 272, 815, 1582, 4877, 817, 5320, 318, 13765, 10947, 14052, 1038, 952, 1582, 30994, 20713, 318, 13765, 10947, 3890, 2652, 15234, 610, 1582, 4877, 817, 5320, 318, 13765, 10947, 3890, 2652, 15234, 6769, 2018, 1582, 6745, 787, 318, 28785, 14052, 1038, 3116, 6769, 2018, 1582, 17085, 1304, 4732, 754, 8548, 20687, 263, 639, 20713, 272, 1341, 834, 834, 1341, 10957, 272, 3418, 2018, 678, 29764, 318, 916, 326, 815, 1582, 17085, 1304, 269, 21683, 341, 8548, 20687, 14052, 2018, 1820, 16868, 29764, 318, 916, 326, 3418, 2018, 1582, 30994, 20713, 318, 8421, 514, 26748, 318, 7901, 19709, 8541, 263, 271, 267, 13673, 291, 3418, 2018, 1582, 4877, 817, 5320, 318, 8421, 514, 26748, 318, 7901, 19709, 8541, 263, 271, 267, 13673, 291, 3418, 2018, 952, 834, 342, 3994, 257, 538, 678, 29764, 318, 916, 326, 6769, 3546, 1582, 6745, 787, 318, 28785, 14052, 2018, 3116, 6769, 3546, 1582, 269, 758, 815, 6936, 1477, 3546, 1582, 269, 27665, 5334, 10547, 6155, 652, 5797, 31476, 825, 1219, 2119, 318, 28785, 4311, 8029, 1038, 5727, 22056, 2119, 1586, 5496, 952, 972, 568, 513, 1966, 538, 1129, 318, 1575, 610, 21189, 18851, 1477, 1038, 1582, 6745, 787, 318, 28785, 5334, 10547, 815, 570, 330, 3890, 476, 1948, 1118, 2119, 318, 28785, 5334, 10547, 1477, 1038, 1582, 6745, 787, 318, 28785, 5334, 10547, 26644, 2891, 15045, 312, 589, 16598, 2562, 14744, 1038, 1582, 6745, 787, 318, 28785, 5334, 10547, 269, 613, 5852, 2891, 5611, 343, 1911, 14744, 1038 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 543, 13861, 1239, 1247, 10893, 519, 2179, 540, 3009, 2838, 547, 1685, 891, 4247, 269, 769, 713, 3296, 267, 649, 786, 5490, 7184, 883, 519, 4909, 2035, 540, 11759, 4578, 17563, 543, 4983, 875, 789, 666, 581, 4294, 547, 1711, 7347, 543, 3608, 25515, 3156, 780, 4263, 519, 2295, 540, 11759, 4578, 17563, 6013, 519, 1523, 540, 513, 7307, 1843, 2796, 630, 300, 8016, 1040, 634, 631, 8016, 5713, 607, 513, 15072, 25247, 1141, 2242, 547, 3615, 616, 27424, 2394, 789, 616, 12799, 10710, 547, 10770, 4859, 269, 1879, 2324, 609, 11759, 4578, 267, 596, 2253, 676, 2870, 513, 1007, 3236, 540, 22085, 10048, 3042, 30606, 3519, 3667, 269, 901, 2488, 596, 609, 513, 10145, 1793, 622, 2390, 799, 596, 666, 1628, 707, 3498, 781, 1239, 2203, 780, 763, 9988, 538, 11759, 4578, 2099, 519, 1585, 2010, 540, 3615, 602, 1118, 909, 707, 3498, 781, 1239, 2203, 269, 3962, 11769, 814, 10305, 2404, 609, 621, 267, 8204, 519, 3601, 540, 519, 7222, 1843, 1826, 269, 1280, 1383, 267, 952, 596, 941, 2679, 513, 17066, 3498, 267, 596, 1522, 723, 606, 11769, 1572, 13555, 609, 10305, 971, 607, 2012, 267, 4757, 2232, 267, 6049, 1297, 267, 3092, 780, 2414, 2170, 609, 519, 1239, 6740, 538, 11759, 4578, 267, 596, 946, 8320, 540, 22085, 10048, 3042, 30606, 267, 799, 5330, 547, 1367, 5638, 538, 707, 6538, 269, 1452, 3615, 616, 2813, 1210, 741, 9757, 11769, 11673, 267, 3850, 596, 547, 1305, 543, 1569, 14487, 2418, 269, 1635, 7900, 10099, 2583, 1996, 519, 631, 8016, 267, 596, 666, 23074, 4540, 22085, 10048, 3042, 30606, 338, 1759, 593, 1808, 7355, 780, 2026, 2242, 616, 1500, 547, 22085, 10048, 3042, 30606, 338, 1369, 519, 631, 8016, 267, 1346, 12381, 2611, 5667, 8491, 2394, 596, 12799, 1289, 4688, 593, 519, 2796, 269, 2311, 713, 1448, 267, 11759, 4578, 8850, 20362, 24758, 519, 2242, 883, 14069, 924, 12981, 267, 21130, 519, 5817, 10770, 4558, 9935, 269, 3958, 267, 11759, 4578, 7028, 3768, 334, 2359, 998, 22085, 308, 526, 334, 10048, 4526, 267, 7175, 3755, 547, 3362, 556, 3200, 23139, 19260, 780, 3080, 1883, 5413, 540, 1210, 11759, 4578, 17563, 568, 922, 2702, 547, 6023, 3347, 1063, 9988, 16900, 269, 17716, 666, 581, 3989, 607, 2901, 547, 14633, 610, 547, 2173, 1415, 4296, 267, 3246, 8112, 950, 9781, 1950, 1239, 3889, 269, 5015, 267, 11759, 4578, 4111, 1836, 21314, 3965, 6165, 3297, 519, 10207, 267, 10099, 4221, 1152, 519, 2556, 1239, 547, 11886, 3593, 13668, 543, 9319, 11991, 16841, 780, 4913, 267, 899, 1022, 2029, 267, 972, 616, 1761, 25354, 950, 2324, 609, 11759, 4578, 17563, 269, 2290, 1455, 3390, 14340, 1813, 547, 519, 21712, 2470, 540, 519, 5943, 3294, 282, 16789, 569, 27358, 2385, 30512, 8658, 949, 1291, 547, 6397, 2623, 1282, 17990, 269, 5047, 267, 3181, 19982, 2152, 1369, 11759, 4578, 666, 3006, 6961, 4101, 267, 8506, 6297, 6514, 540, 2845, 3977, 543, 23440, 609, 519, 4835, 25029, 540, 519, 5943, 780, 1103, 3932, 267, 13215, 11759, 4578, 17563, 16877, 9367, 547, 4739, 10427, 543, 17841, 25515, 3156, 5827, 540, 7829, 1804, 14449, 609, 8897, 269, 1635, 16107, 922, 3532, 2934, 543, 20170, 547, 1655, 2853, 267, 23501, 666, 2327, 5347, 22892, 1256, 538, 519, 1034, 14053, 1646, 5054, 269, 1677, 2417, 4396, 1518, 707, 1620, 540, 11759, 4578, 267, 2015, 3695, 4359, 3584, 971, 607, 598, 2017, 6275, 267, 2773, 11938, 267, 543, 5610, 609, 5007, 8021, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 28343, 7798, 4158, 4104, 1582, 31384, 25156, 454, 5575, 540, 782, 267, 7249, 17894, 585, 4466, 713, 25156, 256, 3143, 2339, 945, 596, 616, 1107, 952, 596, 616, 513, 15170, 23649, 610, 596, 1616, 547, 7914, 883, 519, 21888, 1158, 538, 519, 2104, 267, 713, 25156, 786, 948, 596, 513, 2603, 269, 1411, 1058, 1224, 713, 25156, 5702, 543, 4019, 922, 10752, 538, 1483, 1272, 563, 12234, 267, 547, 1174, 713, 25156, 4625, 3340, 930, 4282, 1702, 269, 1717, 267, 5225, 798, 711, 5855, 269, 1306, 585, 14987, 267, 798, 711, 581, 12922, 540, 519, 1702, 7496, 799, 666, 581, 7753, 269, 1403, 596, 7237, 1945, 602, 596, 1810, 1406, 1174, 267, 543, 991, 547, 2263, 811, 267, 5616, 568, 3810, 5227, 269, 4746, 267, 621, 568, 1271, 547, 1832, 835, 3354, 4341, 538, 2247, 281, 2142, 26617, 256, 3143, 2339, 1018, 1344, 596, 1294, 593, 519, 1357, 267, 596, 1058, 2141, 3343, 856, 693, 2547, 1079, 2959, 585, 3444, 3146, 12401, 563, 26139, 267, 2141, 581, 26617, 9462, 30904, 1519, 519, 1702, 5018, 538, 713, 25156, 563, 28343, 7798, 568, 513, 1390, 8798, 602, 6770, 827, 513, 1689, 538, 2504, 1894, 543, 31758, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 648, 4578, 17563, 257, 607, 851, 540, 834, 28035, 1315, 21952, 7010, 1315, 25515, 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, 6481, 9196, 4066, 723, 19117, 519, 2361, 540, 4915, 267, 7175, 3782, 4648, 547, 14650, 4835, 3889, 543, 3157, 1369, 519, 1480, 1560, 538, 13778, 1469, 269, 1452, 1875, 29554, 2553, 1683, 3407, 1344, 602, 2337, 7189, 13209, 3676, 267, 1544, 5574, 267, 543, 6895, 3461, 3356, 269, 769, 713, 3296, 267, 649, 786, 5490, 883, 930, 540, 519, 1034, 4922, 1031, 2564, 9196, 23857, 267, 3695, 741, 5817, 3741, 267, 9342, 267, 7687, 267, 543, 3156, 269, 1284, 786, 849, 1865, 6932, 3466, 543, 7760, 538, 891, 4610, 780, 272, 269, 2473, 11920, 7101, 25086, 281, 634, 5432, 1535, 11920, 3239, 814, 1044, 513, 20013, 540, 2564, 26129, 2094, 922, 6602, 538, 519, 3735, 13524, 2540, 269, 1635, 19713, 1164, 20589, 13590, 5982, 267, 1535, 17530, 1780, 998, 2571, 5160, 811, 3362, 982, 10053, 2326, 971, 607, 5642, 267, 2870, 4334, 1063, 1114, 2010, 540, 15629, 3889, 269, 901, 4480, 568, 3226, 3730, 585, 7114, 18655, 267, 4914, 3615, 267, 543, 1978, 2619, 3098, 899, 16415, 269, 1717, 267, 621, 1281, 4125, 9357, 1944, 5982, 267, 799, 949, 10460, 4220, 547, 2550, 952, 1697, 3106, 15416, 5749, 1405, 3144, 269, 10765, 7835, 538, 3059, 10237, 2762, 2709, 4824, 3239, 2298, 267, 4389, 4598, 2053, 267, 543, 2539, 5982, 13066, 3379, 547, 2757, 4670, 2861, 2409, 563, 273, 269, 6156, 539, 8751, 2762, 630, 6311, 2567, 11632, 1085, 22395, 9192, 2789, 1535, 11920, 20327, 9715, 693, 1585, 7285, 1472, 519, 3461, 547, 5352, 3444, 22891, 2592, 540, 519, 9703, 540, 519, 1560, 269, 4635, 4359, 6620, 267, 891, 1239, 5036, 1711, 2143, 1614, 8820, 11269, 540, 8219, 267, 1973, 8043, 267, 7633, 267, 543, 824, 8031, 269, 2755, 11632, 2488, 9120, 8901, 6571, 3379, 547, 6671, 10237, 21106, 267, 621, 27875, 2550, 547, 2362, 2157, 540, 9357, 1944, 5982, 269, 11627, 725, 538, 1970, 1673, 846, 10873, 267, 27952, 16646, 2553, 267, 543, 2203, 2861, 4485, 2832, 547, 7413, 891, 10898, 1510, 18731, 10368, 6111, 563, 274, 269, 25080, 1763, 28585, 24919, 630, 28122, 2567, 9521, 1535, 11920, 1759, 23857, 267, 18909, 18252, 2178, 6419, 4610, 543, 5925, 325, 15968, 20512, 547, 13861, 10570, 22140, 1765, 14588, 32496, 7250, 8444, 1336, 10731, 569, 538, 1216, 6675, 1765, 5976, 514, 519, 1560, 269, 1306, 891, 30809, 2132, 547, 11466, 267, 789, 12520, 3713, 762, 6786, 602, 7866, 1344, 827, 4478, 8031, 269, 4595, 18909, 3085, 1405, 7048, 593, 9357, 1944, 5982, 267, 621, 13514, 7864, 1761, 1072, 4220, 543, 3091, 5140, 2571, 2389, 22568, 4334, 269, 5871, 3156, 1331, 14715, 10526, 267, 30273, 20241, 267, 543, 9025, 18362, 269, 23397, 2553, 899, 6198, 18909, 630, 325, 28122, 1070, 18236, 21723, 9196, 630, 291, 2316, 1070, 543, 19182, 21655, 8831, 922, 7207, 3564, 7293, 9196, 267, 3246, 4030, 883, 2634, 2534, 267, 14479, 267, 543, 1979, 17190, 563, 275, 269, 8299, 14647, 281, 4746, 1634, 607, 5067, 2762, 267, 16953, 3096, 1164, 23151, 3280, 6329, 547, 3132, 1483, 6066, 2592, 540, 4835, 8219, 543, 3889, 269, 589, 1098, 706, 1356, 5116, 1996, 519, 2960, 32307, 543, 11392, 17974, 6786, 267, 799, 25483, 1055, 5160, 17103, 543, 2132, 547, 519, 3926, 585, 4393, 269, 5221, 16953, 12346, 593, 7344, 1648, 2864, 982, 5982, 267, 621, 4564, 513, 2922, 543, 1942, 15807, 4781, 585, 1082, 4791, 7653, 269, 898, 4249, 513, 2565, 1909, 538, 6188, 564, 3740, 1416, 267, 13057, 12362, 5773, 267, 543, 5464, 2175, 899, 6797, 2068, 543, 2295, 5821, 269, 25790, 538, 16953, 2029, 3136, 547, 3986, 3239, 2298, 267, 21774, 3178, 267, 543, 28576, 16980, 7207, 267, 2417, 9750, 922, 10626, 563, 276, 269, 24021, 12367, 281, 1306, 12985, 1379, 4679, 543, 5841, 4987, 6620, 2087, 267, 3684, 1565, 2553, 616, 1373, 7471, 883, 2564, 9196, 32262, 269, 12213, 1565, 3631, 8036, 593, 1804, 14449, 666, 4217, 10237, 5505, 538, 27295, 7020, 267, 18572, 267, 543, 26409, 4247, 267, 5732, 4227, 13260, 543, 2810, 4398, 269, 3958, 267, 8666, 659, 15064, 9196, 10905, 9804, 26149, 609, 24318, 21319, 15392, 547, 3035, 1164, 22822, 7636, 543, 6198, 9196, 2620, 1369, 6211, 8031, 269, 901, 10316, 1110, 1275, 6585, 9153, 585, 2038, 2860, 5868, 267, 10510, 14345, 4879, 267, 543, 6098, 3797, 5583, 269, 14936, 267, 519, 4473, 540, 7658, 25924, 543, 6552, 29492, 1282, 519, 5046, 268, 866, 6855, 8711, 519, 991, 585, 7347, 267, 5150, 267, 543, 3593, 7888, 5867, 602, 5512, 15774, 4687, 543, 7664, 540, 2564, 2592, 2066, 9883, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 713, 4647, 1620, 1072, 513, 25349, 4367, 649, 1294, 12261, 676, 513, 24228, 540, 4654, 689, 5739, 2686, 666, 641, 625, 263, 6792, 267, 8050, 267, 7977, 543, 2136, 8003, 264, 945, 1412, 557, 2533, 540, 11639, 616, 713, 4070, 269, 25380, 282, 8841, 2098, 600, 644, 1470, 282, 556, 14025, 282, 1007, 282, 15372, 282, 15168, 12278, 338, 267, 7260, 282, 4886, 13188, 267, 6902, 9752, 543, 4804, 267, 4603, 282, 3163, 4065, 16675, 532, 19094, 7781, 17978, 609, 5776, 29671, 6489, 623, 10062, 19954, 5825, 281, 589, 13437, 8865, 5530, 9349, 5658, 12606, 2421, 282, 6341, 5984, 645, 1002, 339, 778, 776, 320, 282, 26995, 282, 1341, 273, 297, 320, 2378, 541, 631, 269, 774, 8812, 29350, 2929, 8031, 616, 713, 17284, 1169, 2631, 269, 900, 6160, 687, 1118, 9524, 938, 4647, 4238, 269, 901, 12117, 28303, 609, 519, 1283, 5826, 27410, 2688, 1489, 543, 1770, 1851, 2592, 3870, 2406, 14916, 607, 519, 3301, 1558, 600, 17467, 267, 1603, 267, 543, 22906, 540, 19094, 7781, 17978, 263, 966, 3198, 4953, 338, 1040, 476, 275, 264, 2729, 543, 5121, 585, 519, 4647, 1620, 1072, 513, 25349, 4367, 7544, 540, 19094, 7781, 17978, 563, 611, 4765, 27619, 5804, 4647, 3768, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 10749, 1315, 6481, 24919, 16370, 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, 623, 3821, 637, 4302, 11470, 910, 24079, 540, 15541, 1132, 543, 2480, 895, 14843, 692, 5970, 596, 2479, 1224, 513, 1650, 827, 513, 1915, 945, 781, 513, 2370, 3787, 3765, 2151, 31773, 610, 1256, 1524, 2431, 887, 7666, 880, 286, 9320, 789, 1810, 1405, 2141, 1246, 519, 3652, 267, 855, 741, 9035, 666, 581, 13858, 543, 19278, 256, 1403, 713, 4992, 4277, 267, 1287, 1577, 781, 4685, 883, 533, 3821, 637, 4302, 5708, 1927, 2439, 5331, 6972, 998, 513, 14297, 19458, 1282, 519, 5053, 13642, 6520, 630, 1428, 628 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 519, 2038, 2395, 540, 519, 4950, 267, 2043, 5275, 547, 3715, 513, 4527, 2228, 1419, 5828, 547, 1863, 3896, 16475, 5867, 971, 607, 2983, 334, 290, 885, 269, 5487, 684, 3481, 538, 476, 1960, 275, 267, 2983, 334, 290, 885, 4847, 3755, 547, 1711, 741, 1378, 10531, 7270, 1210, 840, 27059, 17074, 543, 2645, 269, 7324, 519, 1585, 6688, 540, 4609, 2139, 267, 24463, 1148, 1336, 513, 22205, 1753, 593, 713, 3760, 269, 901, 1106, 540, 6404, 2923, 267, 6353, 676, 519, 10198, 540, 1507, 4773, 540, 4837, 267, 6149, 267, 610, 824, 2326, 883, 6946, 3270, 543, 6272, 267, 4278, 1882, 593, 2983, 334, 290, 885, 7064, 547, 13730, 5159, 945, 8246, 519, 3028, 547, 13686, 741, 960, 543, 1921, 609, 899, 16490, 12439, 780, 300, 6242, 545, 1148, 593, 2983, 334, 290, 885, 729, 30118, 1738, 540, 519, 798, 32717, 3917, 712, 1345, 630, 14888, 312, 264, 31672, 602, 829, 341, 12184, 519, 2038, 2622, 22453, 5680, 269, 2060, 8766, 2930, 6791, 2838, 267, 15888, 1223, 3362, 1374, 267, 15476, 267, 543, 2671, 741, 5691, 26847, 269, 1452, 3817, 941, 4749, 24224, 609, 7524, 4778, 267, 22488, 12449, 267, 543, 7317, 2934, 1107, 782, 10689, 12201, 540, 519, 24567, 3059, 5251, 269, 6736, 519, 7687, 13684, 676, 519, 3760, 267, 24463, 5159, 7307, 547, 7903, 6302, 543, 3132, 9159, 1568, 602, 6949, 730, 609, 8436, 5001, 780, 763, 13249, 27757, 540, 2983, 334, 290, 885, 538, 476, 1220, 280, 6825, 519, 1439, 540, 606, 5736, 585, 1082, 2228, 2950, 267, 1519, 1346, 6131, 547, 24463, 1148, 269, 1306, 13890, 538, 519, 6679, 1349, 267, 23968, 5622, 256, 262, 338, 3375, 547, 9505, 614, 519, 3028, 2451, 9118, 3755, 26545, 17331, 547, 32006, 720, 741, 13144, 1354, 789, 8709, 1639, 883, 2166, 1499, 10628, 21933, 643, 542, 269, 634, 23589, 26694, 6039, 607, 513, 22880, 12576, 540, 519, 6650, 2006, 775, 7915, 538, 13461, 593, 3791, 18407, 5867, 585, 3860, 4082, 780, 1103, 3210, 547, 713, 2680, 267, 4207, 24463, 5159, 723, 8179, 4244, 2409, 585, 4687, 741, 960, 1247, 20808, 3152, 1852, 936, 741, 3059, 11640, 269, 2290, 2442, 3070, 814, 1044, 519, 10073, 540, 4830, 5816, 3101, 5867, 899, 31964, 610, 18248, 3455, 267, 799, 1450, 585, 811, 29356, 543, 8112, 3379, 547, 2757, 1514, 2923, 5121, 269, 3958, 267, 3875, 13395, 7270, 23695, 4481, 547, 24463, 1148, 723, 7153, 267, 3246, 513, 6131, 2230, 585, 5159, 547, 8858, 741, 15421, 543, 4497, 609, 8284, 7192, 20601, 15606, 780, 5194, 7678, 11543, 20086, 1851, 2413, 24463, 1235, 568, 519, 5610, 540, 21284, 4641, 630, 2752, 264, 2029, 1369, 741, 13144, 269, 1635, 26399, 2168, 11247, 609, 25274, 8476, 2609, 267, 891, 21722, 5159, 616, 20747, 2590, 519, 3515, 1063, 15889, 543, 30608, 23447, 269, 1280, 3236, 267, 30040, 9479, 11368, 883, 19821, 923, 666, 3560, 16335, 3755, 547, 15138, 5691, 24218, 610, 7317, 18862, 267, 7551, 29947, 6278, 543, 9750, 519, 3914, 540, 519, 3312, 4062, 269, 6270, 10124, 20838, 519, 6043, 543, 13916, 540, 24463, 1148, 607, 621, 5170, 547, 11457, 7258, 6639, 7760, 780, 11101, 267, 3872, 5238, 723, 6444, 519, 1871, 540, 6220, 24463, 1148, 883, 741, 21195, 267, 5807, 513, 1007, 5108, 540, 9952, 13492, 15161, 1134, 268, 951, 539, 538, 1312, 2757, 2553, 543, 5969, 12967, 4066, 269, 30793, 2471, 543, 9945, 2066, 519, 8608, 1631, 2709, 6030, 8720, 1585, 3344, 540, 24463, 5137, 267, 8151, 689, 3140, 2796, 543, 2686, 4644, 547, 1570, 5542, 543, 1374, 3741, 269, 4841, 1451, 547, 5660, 519, 3638, 1686, 540, 713, 3504, 1148, 1106, 1247, 3384, 15334, 538, 4207, 3156, 1107, 4180, 922, 4797, 10083, 538, 2221, 781, 10562, 1158, 780, 2414, 2417, 9414, 519, 1761, 1764, 540, 10128, 24463, 1148, 883, 2362, 2069, 5468, 267, 2015, 519, 1739, 19858, 9183, 281, 589, 1895, 540, 1053, 19801, 538, 513, 6404, 2923, 1576, 29050, 1374, 543, 4020, 513, 1804, 8397, 24463, 10380, 5497, 585, 4159, 593, 13464, 269, 22034, 4264, 2326, 21433, 12725, 267, 789, 23939, 4739, 606, 6946, 4806, 10452, 519, 9872, 781, 4295, 2418, 543, 5692, 3948, 269, 3414, 6297, 4058, 543, 11056, 267, 789, 16900, 6451, 8121, 3334, 602, 3986, 21951, 5872, 543, 8223, 780, 26796, 12032, 267, 519, 1788, 5713, 2789, 5301, 281, 898, 3083, 5809, 519, 2168, 1604, 267, 22851, 1780, 619, 2421, 998, 5499, 9423, 267, 543, 2488, 1053, 609, 3407, 3946, 6823, 1995, 538, 12497, 1436, 267, 21753, 267, 543, 13319, 269, 5015, 267, 621, 6763, 607, 513, 15266, 547, 519, 1379, 540, 3444, 16162, 9918, 5698, 267, 11744, 875, 3309, 4610, 971, 607, 5386, 6575, 267, 2780, 2257, 267, 2825, 6940, 267, 543, 6725, 666, 27721, 547, 1711, 1945, 5963, 9058, 780, 1103, 3932, 267, 519, 4473, 543, 2887, 540, 2983, 334, 290, 885, 4564, 8806, 835, 3184, 538, 519, 588, 528, 1221, 1686, 540, 24463, 1148, 781, 3460, 998, 519, 3059, 2085, 269, 1306, 7152, 676, 5571, 7835, 538, 2029, 267, 27380, 267, 543, 7499, 2259, 267, 713, 11684, 5420, 3788, 16119, 31737, 1369, 4207, 2528, 1107, 16111, 5368, 28124, 3294, 547, 3251, 4143, 543, 2502, 269, 6787, 6964, 607, 513, 1797, 540, 1582, 22325, 267, 2146, 2679, 267, 610, 14292, 1907, 267, 24463, 1148, 4927, 17216, 6414, 607, 513, 4105, 5057, 540, 938, 7104, 3860, 13795, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 29423, 1470, 19405, 676, 22819, 3240, 3223, 603, 454, 1103, 4989, 540, 476, 1220, 280, 267, 23968, 5622, 256, 9505, 1524, 2983, 334, 290, 885, 269, 4698, 1227, 16074, 267, 519, 2899, 11537, 3028, 1185, 922, 1129, 1575, 2985, 8719, 609, 513, 22394, 5048, 3045, 23395, 922, 19479, 563, 2171, 723, 4956, 547, 19944, 826, 519, 1184, 540, 3850, 1007, 5561, 547, 1129, 909, 585, 2983, 334, 290, 885, 6589, 607, 649, 1445, 593, 4543, 938, 5561, 2263, 543, 1628, 1007, 3347, 2228, 538, 824, 2081, 269, 1284, 786, 581, 14656, 2983, 334, 290, 885, 2663, 713, 1032, 563, 2750, 12371, 2983, 334, 290, 885, 6589, 723, 711, 4957, 269, 1411, 666, 3136, 547, 2972, 707, 1357, 3135, 543, 2983, 334, 290, 885, 2533, 2394, 2663, 713, 1032, 269, 1411, 1810, 1406, 991, 547, 1689, 513, 3364, 1318, 1631, 2443, 649, 1175, 4941, 596, 547, 1577, 596, 917, 827, 519, 19479, 607, 4166, 607, 2009, 269, 1284, 3580, 1683, 811, 3877, 827, 14656, 2983, 334, 290, 885, 543, 875, 547, 4688, 707, 3135, 1239, 713, 4832, 267, 543, 649, 786, 9337, 519, 948, 4099, 609, 811, 3877, 693, 602, 942, 563, 1103, 519, 4947, 3275, 267, 519, 2754, 1131, 2709, 2370, 811, 1469, 982, 602, 269, 10738, 513, 1032, 267, 3593, 1753, 335, 1137, 3710, 609, 2983, 334, 290, 885, 1131, 1025, 1074, 856, 540, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 595, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 24908, 9012, 1315, 631, 6242, 545, 3203, 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, 6092, 5149, 281, 10067, 27011, 13898, 538, 25307, 13221, 281, 1323, 16709, 998, 519, 29526, 540, 27302, 4469, 4711, 692, 296, 269, 4985, 692, 303, 2001, 518, 17514, 723, 1044, 606, 7533, 851, 540, 25307, 2528, 543, 14418, 2853, 269, 1452, 10477, 17514, 267, 24224, 609, 6946, 6698, 543, 10723, 5931, 267, 5705, 569, 954, 933, 1511, 7096, 24866, 883, 741, 10347, 5958, 269, 7324, 891, 24866, 6013, 519, 4295, 540, 10067, 27011, 13221, 910, 519, 2619, 540, 519, 26636, 20130, 3430, 9366, 267, 519, 17519, 1373, 945, 11394, 21481, 711, 1152, 585, 2933, 855, 849, 585, 519, 4324, 540, 782, 2366, 1304, 7919, 269, 901, 1576, 1770, 12538, 2620, 883, 519, 3638, 13795, 540, 10067, 27011, 6138, 607, 22993, 538, 519, 13513, 540, 11755, 17514, 780, 2862, 269, 25043, 540, 10067, 27011, 13221, 3097, 288, 269, 11137, 540, 10067, 27011, 692, 272, 269, 18882, 543, 1646, 281, 32274, 922, 5072, 1394, 547, 3127, 1282, 519, 1101, 2540, 9460, 267, 10067, 27011, 13221, 3262, 2429, 5607, 543, 2968, 519, 11342, 1106, 540, 13221, 538, 17230, 267, 3624, 267, 3567, 267, 9705, 267, 543, 10476, 269, 4706, 10752, 1445, 593, 519, 2856, 540, 519, 26636, 20130, 3430, 9366, 267, 519, 4998, 540, 17519, 7326, 14971, 2509, 2407, 21481, 563, 273, 269, 6206, 2035, 281, 2506, 696, 1465, 630, 4537, 684, 344, 1092, 1070, 3955, 323, 8817, 7880, 1588, 630, 7468, 520, 640, 553, 600, 583, 335, 3385, 1070, 543, 519, 14520, 17828, 687, 630, 13640, 600, 26320, 264, 4196, 607, 4909, 22225, 540, 10067, 27011, 14985, 269, 1358, 2099, 519, 10700, 4641, 540, 9259, 267, 519, 1184, 540, 1757, 1275, 267, 543, 519, 7907, 16916, 676, 9439, 20678, 585, 21481, 6606, 563, 274, 269, 3690, 322, 2056, 6302, 281, 769, 4334, 547, 634, 9545, 24460, 5389, 10771, 1367, 20778, 267, 10067, 27011, 7512, 8471, 19802, 10489, 2056, 3392, 4115, 3515, 269, 898, 29102, 602, 1169, 1373, 19299, 519, 7915, 1761, 585, 31135, 267, 1634, 607, 17700, 7186, 630, 307, 987, 698, 520, 698, 16808, 3873, 6393, 289, 269, 5940, 3307, 633, 17972, 540, 10067, 27011, 692, 272, 269, 634, 10206, 540, 26636, 20130, 3430, 9366, 26758, 281, 9521, 1488, 1002, 338, 1222, 267, 799, 18575, 2123, 19802, 689, 28023, 6228, 630, 306, 4461, 4673, 1070, 519, 26636, 20130, 3430, 9366, 642, 3298, 547, 27185, 821, 1010, 1378, 715, 597, 341, 3570, 2394, 646, 5849, 519, 7104, 21481, 540, 782, 2366, 1304, 7919, 563, 273, 269, 31853, 995, 31283, 630, 10000, 11535, 2567, 20876, 519, 4763, 1851, 7919, 267, 10067, 27011, 11414, 1585, 5578, 995, 2409, 3358, 547, 2043, 262, 2189, 19206, 267, 4690, 267, 543, 13141, 5209, 269, 6270, 24099, 8112, 11942, 513, 811, 8537, 1604, 20009, 547, 1565, 543, 2259, 563, 274, 269, 8061, 10899, 13756, 281, 32672, 5270, 4724, 18477, 13938, 20130, 3430, 11663, 899, 589, 1998, 758, 2572, 341, 4673, 267, 2494, 329, 639, 686, 267, 543, 6341, 656, 629, 17495, 571, 1264, 906, 9066, 543, 5683, 2932, 1369, 10067, 27011, 3506, 269, 4980, 22899, 3347, 609, 891, 5515, 5713, 607, 27857, 585, 3384, 5813, 543, 16734, 14609, 7315, 1155, 780, 7656, 269, 1133, 30584, 532, 519, 700, 16558, 540, 27302, 4469, 4711, 454, 288, 269, 8466, 12745, 692, 272, 269, 9147, 8129, 281, 27302, 17514, 4266, 1394, 5215, 540, 1296, 267, 23608, 689, 12844, 695, 16120, 2065, 5389, 543, 2038, 3029, 540, 13221, 538, 17230, 267, 3624, 267, 30111, 267, 543, 3127, 563, 273, 269, 12472, 936, 942, 281, 1306, 13221, 7960, 267, 865, 1705, 519, 1374, 543, 3483, 540, 11755, 17514, 269, 21231, 1031, 585, 4027, 1996, 5739, 14326, 267, 789, 2663, 9927, 883, 6472, 8876, 8321, 1049, 19001, 585, 4708, 267, 13884, 267, 543, 8788, 585, 782, 780, 289, 269, 10439, 15689, 543, 29526, 692, 272, 269, 27413, 543, 19648, 281, 3962, 2681, 14687, 547, 513, 1808, 4287, 267, 3693, 267, 543, 2460, 540, 9637, 267, 10452, 519, 25872, 540, 782, 9259, 269, 9791, 4564, 6607, 4882, 10628, 543, 12808, 9637, 282, 3043, 6763, 585, 2011, 11320, 785, 543, 9355, 540, 2247, 282, 2699, 24151, 3595, 270, 17742, 543, 6612, 282, 3039, 19752, 1216, 14672, 4669, 4269, 543, 1226, 534, 14383, 282, 5835, 6920, 3618, 23995, 1464, 543, 5806, 3215, 4656, 563, 273, 269, 29042, 31157, 543, 31615, 6652, 281, 7179, 539, 593, 519, 17514, 616, 513, 22273, 5534, 18627, 267, 521, 583, 6652, 267, 543, 16051, 6652, 971, 607, 15345, 2494, 328, 22087, 1889, 9966, 267, 1045, 3183, 519, 4527, 540, 1649, 5271, 565, 550, 19367, 543, 24705, 2590, 25736, 2390, 1346, 6534, 547, 519, 12798, 8876, 873, 563, 274, 269, 27748, 4919, 22569, 2044, 281, 1546, 885, 267, 6698, 267, 543, 2831, 13269, 593, 11755, 17514, 18220, 1585, 3344, 540, 24084, 2989, 2247, 543, 4075, 6681, 10305, 17709, 540, 900, 1637, 267, 11121, 13588, 547, 4497, 538, 27357, 3527, 543, 14719, 894, 2853, 780, 290, 269, 20154, 19043, 692, 272, 269, 631, 1120, 532, 2890, 6523, 332 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1280, 1411, 1677, 1684, 5685, 880, 519, 4976, 538, 2516, 269, 5457, 519, 2994, 543, 3268, 585, 14335, 513, 1863, 23073, 6516, 692, 5415, 13565, 0, 258, 1215, 547, 11753, 4399, 842, 3709, 8703, 7346, 2765, 3189, 7562, 476, 3867, 274, 4153, 9064, 476, 7346, 6523, 476, 3867, 277, 4153, 9064, 7684, 323, 24592, 476, 4151, 2496, 1692, 547, 11753, 4399, 842, 3709, 8703, 7346, 2765, 3189, 7562, 476, 3867, 274, 4153, 9064, 476, 7346, 6523, 476, 3867, 277, 4153, 9064, 7684, 323, 24592, 476, 4151, 286, 901, 568, 2186, 540, 6780, 25467, 594, 723, 1100, 2856, 1141, 547, 1376, 780, 7042, 1012, 476, 274, 12226, 692, 2791, 666, 27682, 621, 607, 6695, 842, 315, 11927, 317, 274, 24592, 1422, 5913, 317, 274, 24592, 546, 24592, 269, 2330, 8074, 602, 1269, 323, 7268, 5913, 24592, 21174, 11927, 24592, 315, 5913, 24592, 546, 24592, 259, 543, 4399, 11927, 317, 273, 24592, 7807, 5913, 317, 273, 24592, 268, 272, 8961, 649, 723, 6695, 842, 315, 11927, 317, 274, 24592, 1422, 5913, 317, 274, 24592, 546, 24592, 7807, 842, 1422, 11927, 317, 273, 24592, 1422, 5913, 317, 273, 24592, 546, 7268, 5913, 24592, 264, 31386, 842, 22570, 5913, 317, 273, 24592, 268, 272, 264, 1422, 5913, 317, 273, 24592, 546, 7268, 5913, 24592, 1040, 2330, 3767, 952, 649, 1577, 1269, 339, 7807, 5913, 24592, 8961, 1287, 2807, 296, 4734, 519, 6967, 2694, 547, 596, 780, 8894, 12552, 267, 296, 3893, 621, 256, 1107, 1109, 288, 557, 5689, 1030, 32337, 3967, 476, 1839, 1412, 1724, 693, 476, 1556, 281, 3393, 692, 7775, 1284, 666, 849, 12433, 621, 4635, 17832, 269, 15240, 3191, 692, 7445, 6234, 1422, 842, 21702, 3189, 7562, 317, 274, 1422, 9064, 7346, 6523, 317, 277, 1422, 9064, 348, 323, 24592, 815, 1422, 842, 21702, 346, 272, 10559, 6523, 317, 273, 1422, 9064, 7346, 6523, 317, 277, 1422, 9064, 348, 1422, 9392, 1422, 7562, 1422, 9064, 546, 24592, 6911, 4131, 4399, 6523, 1422, 9064, 815, 512, 259, 543, 4399, 7562, 1422, 9064, 546, 24592, 815, 910, 19049, 259, 1924, 6715, 1537, 568, 692, 7445, 6234, 1422, 842, 21702, 346, 339, 317, 273, 268, 272, 2410, 339, 317, 277, 348, 19049, 815, 1422, 842, 512, 13064, 275, 348, 19049, 10559, 842, 512, 13064, 277, 348, 19049, 6911, 7445, 6234, 815, 28363, 2765, 346, 272, 2410, 274, 348, 339, 13064, 274, 23180, 2765, 346, 272, 2410, 276, 348, 339, 13064, 276, 23180, 13992, 346, 290, 10592, 7445, 6234, 815, 28363, 2765, 346, 272, 2410, 274, 32710, 6523, 512, 3738, 13064, 274, 23180, 2765, 346, 272, 2410, 276, 32710, 6523, 512, 264, 476, 13064, 276, 23180, 13992, 346, 290, 10592, 8894, 3674, 972, 513, 2601, 596, 723, 1031, 4399, 13992, 595, 259, 547, 20301, 519, 3586, 286, 898, 4667, 2864, 15116, 547, 803, 269, 1107, 1109, 12528, 27843, 5881, 3967, 476, 1839, 1412, 1724, 693, 476, 2420, 281, 2537, 692, 3080, 1259, 568, 547, 2057, 524, 13246, 727, 9273, 676, 1210, 521, 585, 20534, 543, 524, 585, 25482, 269, 590, 5902, 519, 521, 317, 274, 538, 519, 19362, 883, 521, 265, 338, 317, 273, 267, 1210, 521, 317, 273, 815, 476, 272, 910, 524, 317, 273, 543, 8380, 3388, 538, 1747, 596, 723, 692, 338, 16732, 272, 2275, 317, 273, 8358, 322, 317, 277, 269, 4595, 519, 10693, 2917, 521, 786, 4196, 607, 519, 2942, 11186, 540, 524, 267, 519, 2076, 8681, 6971, 23182, 883, 630, 272, 2275, 317, 273, 12684, 8987, 26501, 8358, 322, 317, 277, 269, 19147, 524, 317, 277, 883, 519, 19362, 543, 596, 723, 524, 317, 8987, 277, 9984, 322, 317, 8987, 275, 264, 799, 26779, 23182, 1210, 519, 10026, 1379, 4341, 267, 519, 1360, 1101, 5610, 4341, 596, 4121, 256, 2986, 1576, 267, 1810, 1405, 7340, 547, 1394, 10177, 1188, 267, 13868, 519, 524, 781, 609, 5430, 3890, 543, 596, 616, 2944, 269, 3143, 30255, 3813, 1218, 543, 8126, 757, 543, 6157, 1100, 4645, 2655, 4801, 780, 268, 0, 293, 17313, 910, 25506, 543, 21414, 7689, 476, 272, 769, 2979, 267, 513, 6935, 568, 1175, 513, 1305, 540, 2715, 7684, 616, 519, 3090, 585, 834, 3553, 257, 9577, 281, 1109, 589, 1599, 568, 513, 1305, 540, 10288, 8424, 538, 799, 1142, 3693, 540, 519, 6389, 814, 1152, 21450, 3693, 2404, 609, 621, 538, 519, 2039, 269, 769, 6128, 267, 1018, 30193, 513, 1599, 689, 513, 6935, 568, 602, 1142, 1535, 1871, 538, 513, 1599, 814, 835, 543, 1152, 835, 586, 17032, 780, 19370, 281, 1741, 476, 1109, 288, 1599, 568, 6719, 676, 535, 630, 343, 264, 815, 476, 273, 343, 1341, 476, 736, 269, 8340, 535, 630, 1015, 6393, 11405, 476, 6892, 1677, 1265, 535, 630, 1015, 1070, 5372, 519, 1535, 17032, 609, 476, 1015, 780, 3721, 476, 272, 1384, 11405, 476, 6892, 535, 630, 1015, 264, 815, 476, 273, 263, 1015, 264, 1341, 476, 736, 815, 476, 736, 1341, 476, 736, 815, 476, 2412, 780, 3721, 476, 273, 1384, 11405, 476, 6892, 634, 2626, 281, 476, 2412, 568, 1572, 519, 3239, 540, 476, 1015, 896, 1109, 325, 630, 343, 6393, 3721, 476, 274, 1384, 28415, 692, 2521, 1079, 2259, 2042, 1384, 24169, 519, 1739, 1384, 589, 269, 9717, 535, 3287, 264, 815, 476, 273, 343, 273, 910, 476, 278, 343, 267, 1265, 1109, 325, 263, 275, 1040, 645, 269, 9717, 535, 3287, 264, 815, 3980, 352, 273, 343, 273, 910, 476, 1321, 343, 4501, 352, 267, 1265, 1109, 325, 263, 279, 1040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13687, 669, 32535, 269, 20363, 568, 10731, 538, 1325, 2532, 534, 7297, 267, 543, 713, 27598, 17339, 568, 513, 1390, 1259, 547, 946, 909, 1022, 31629, 3165, 269, 1677, 1118, 13687, 669, 32535, 267, 596, 786, 991, 546, 5367, 12277, 267, 22872, 19637, 267, 1295, 1027, 13342, 267, 7423, 267, 7912, 267, 5144, 267, 6070, 267, 14723, 267, 15922, 3762, 267, 543, 540, 1576, 267, 1166, 8898, 13687, 269, 15439, 1094, 583, 2946, 519, 5388, 538, 7423, 2394, 789, 616, 13035, 267, 1287, 13489, 538, 519, 7912, 543, 3434, 585, 1776, 8792, 269, 20405, 569, 31953, 538, 519, 5144, 543, 1039, 519, 4005, 902, 267, 8744, 3388, 547, 513, 31652, 269, 7053, 267, 16784, 538, 519, 13687, 543, 3002, 998, 269, 31160, 3905, 609, 12933, 344, 3694, 585, 513, 2295, 344, 7594, 780, 5194, 11599, 1325, 2532, 534, 1426, 568, 4779, 846, 5779, 269, 631, 5366, 616, 5458, 2831, 602, 887, 600, 519, 1533, 781, 10053, 7733, 267, 3246, 513, 10709, 543, 29316, 2707, 540, 3940, 585, 1346, 18822, 2614, 547, 9126, 835, 1282, 10122, 4005, 269, 1403, 596, 2479, 1205, 519, 4960, 547, 2119, 4779, 846, 5779, 267, 1810, 1405, 1780, 621, 909, 256, 898, 16919, 2147, 547, 14132, 855, 568, 1454, 8902, 543, 811, 10357, 7888, 269, 2290, 2653, 11600, 547, 1118, 609, 4779, 846, 5779, 568, 4779, 846, 588, 549, 1146, 4752, 269, 2353, 596, 991, 568, 30000, 4779, 846, 2848, 6545, 267, 17228, 267, 22323, 267, 13342, 267, 11877, 8645, 267, 4144, 329, 517, 28401, 267, 1937, 806, 1562, 10921, 14036, 267, 6070, 267, 14723, 267, 543, 4212, 30653, 269, 13648, 519, 30653, 14384, 1247, 536, 20621, 519, 4779, 846, 543, 5388, 538, 513, 3443, 269, 4495, 536, 27547, 267, 1039, 519, 6967, 5820, 543, 31652, 2394, 12699, 998, 269, 32449, 936, 519, 30653, 543, 2972, 2439, 7661, 267, 649, 666, 1405, 7340, 827, 15708, 538, 1325, 2532, 534, 19069, 11951, 269, 7137, 1845, 1332, 782, 936, 519, 1533, 267, 689, 30207, 543, 678, 5684, 11241, 547, 6531, 11241, 543, 19388, 517, 11241, 269, 1358, 616, 1031, 538, 533, 625, 267, 795, 749, 625, 267, 27156, 267, 543, 1256, 10425, 899, 10874, 787, 5347, 625, 543, 21097, 269, 589, 2241, 2943, 8949, 18397, 547, 1118, 609, 1325, 2532, 534, 15708, 568, 513, 6404, 10874, 787, 26546, 269, 3807, 3575, 1927, 707, 5172, 4999, 540, 15708, 267, 4006, 267, 8970, 560, 1105, 267, 543, 11993, 10433, 538, 513, 11256, 8670, 269, 3973, 20057, 548, 513, 547, 6137, 1500, 689, 28113, 267, 7912, 267, 6960, 4006, 267, 24036, 267, 2428, 332, 1122, 267, 543, 4411, 7423, 936, 519, 4829, 7848, 269, 645, 820, 2394, 11344, 6960, 543, 11164, 29087, 267, 543, 4196, 3636, 609, 29877, 4672, 8645, 610, 627, 5792, 8645, 269, 962, 636, 2439, 2026, 596, 666, 1294, 267, 1325, 2532, 534, 19069, 11951, 568, 782, 827, 8508, 519, 2067, 5898, 543, 2200, 540, 519, 3148, 269, 6787, 596, 2811, 3843, 13687, 669, 32535, 267, 4779, 846, 588, 549, 1146, 4752, 267, 610, 6404, 10874, 787, 26546, 267, 1142, 8670, 20502, 519, 2189, 10366, 543, 5389, 540, 14522, 269, 1924, 1946, 711, 2285, 873, 513, 2119, 286, 5808, 6487, 267, 596, 1522, 1175, 3605, 707, 1007, 5172, 7594, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21026, 4095, 1426, 31204, 281, 3371, 568, 513, 4015, 540, 519, 1283, 476, 1428, 5045, 21944, 10346, 267, 1519, 9269, 1750, 1777, 514, 611, 267, 11792, 8403, 546, 6242, 267, 803, 523, 9597, 2590, 752, 6390, 1225, 787, 267, 9269, 12403, 609, 813, 4461, 267, 5754, 1457, 629, 14508, 2840, 344, 8643, 267, 543, 1082, 811, 269, 3962, 8670, 2882, 513, 1592, 540, 1898, 5820, 543, 5528, 593, 875, 547, 5965, 621, 454, 763, 1655, 6237, 5045, 4095, 8286, 616, 7396, 2630, 585, 596, 547, 2119, 693, 1753, 563, 21026, 4095, 1426, 7454, 31204, 2433, 1703, 779, 1100, 27102, 602, 3162, 4095, 1426, 568, 513, 21649, 585, 519, 12823, 267, 1018, 609, 519, 3280, 540, 838, 32211, 28401, 5452, 267, 519, 30993, 540, 10398, 532, 3620, 582, 521, 3711, 541, 11273, 609, 4195, 23984, 541, 785, 267, 543, 519, 5905, 540, 13692, 2000, 697, 267, 10347, 7329, 5894, 269, 932, 583, 2284, 543, 13121, 553, 616, 855, 513, 6492, 540, 3162, 3127, 779, 7524, 267, 9867, 267, 543, 19039, 569, 4241, 8819, 1258, 5669, 7045, 269, 634, 5045, 540, 3127, 568, 1360, 4744, 25630, 689, 519, 5087, 1813, 547, 922, 2947, 2829, 267, 1079, 9769, 11182, 267, 22586, 29415, 267, 5757, 23898, 267, 543, 9381, 23617, 269, 898, 4422, 1510, 6031, 602, 519, 32345, 540, 29242, 267, 20474, 24385, 340, 267, 31016, 31540, 267, 20052, 836, 3570, 267, 543, 1656, 31137, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2704, 2532, 534, 8187, 15227, 28690, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 1977, 1315, 3345, 13523, 2276, 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, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 2811, 1565, 827, 16692, 296, 17874, 538, 6530, 1362, 269, 2334, 4992, 4277, 256, 2052, 596, 2995, 803, 1018, 621, 1797, 2496, 7692, 281, 17610, 267, 7705, 256, 16692, 296, 6763, 585, 16844, 267, 24054, 267, 543, 29621, 269, 898, 781, 782, 827, 1818, 2386, 3025, 7959, 12595, 543, 15197, 267, 1100, 2339, 741, 3604, 269, 1924, 267, 16692, 296, 29801, 948, 3549, 1711, 4023, 4507, 543, 2853, 585, 1004, 540, 1114, 14797, 267, 25469, 267, 6502, 267, 5759, 267, 543, 811, 780, 8334, 281, 7937, 267, 594, 1294, 269, 6145, 950, 649, 4121, 827, 1210, 2953, 21770, 585, 938, 2828, 267, 1318, 286, 4635, 834, 515, 257, 610, 834, 9917, 257, 4470, 593, 1018, 789, 4782, 2306, 873, 1745, 2938, 543, 7608, 780, 7692, 281, 22549, 256, 1656, 3006, 267, 972, 1522, 581, 10539, 1317, 2576, 3096, 834, 16269, 257, 3079, 540, 834, 515, 257, 610, 834, 9917, 2437, 899, 707, 3659, 13177, 269, 1284, 991, 547, 2463, 741, 3903, 543, 946, 834, 16269, 257, 547, 1118, 873, 6899, 780, 8334, 281, 23010, 267, 594, 3314, 1631, 269, 1924, 267, 952, 594, 1174, 7157, 267, 16692, 296, 29801, 1131, 2303, 2081, 585, 721, 547, 1521, 1866, 9425, 543, 2057, 4929, 2800, 610, 9636, 267, 1256, 1510, 16734, 621, 780, 7692, 281, 8786, 267, 4010, 269, 1358, 1223, 2285, 14245, 267, 11925, 267, 610, 835, 6823, 14633, 18006, 547, 4001, 1004, 827, 16692, 296, 1655, 2853, 269, 1280, 1383, 267, 789, 1522, 2491, 875, 1978, 1913, 610, 3527, 666, 10413, 2576, 781, 4606, 610, 3970, 3255, 585, 1808, 2516, 780, 8334, 281, 670, 7825, 1862, 4754, 596, 1589, 540, 1022, 3510, 1141, 713, 10039, 2496, 7692, 281, 4270, 267, 4952, 596, 1616, 547, 10891, 513, 1153, 2680, 855, 1152, 16436, 707, 14191, 2828, 267, 6028, 856, 930, 3214, 945, 5749, 1405, 607, 2442, 269, 901, 1223, 1291, 547, 1346, 2451, 856, 4743, 16934, 267, 799, 3884, 1405, 4023, 269, 589, 16692, 296, 22639, 1522, 1900, 538, 543, 18973, 1519, 3025, 610, 4466, 513, 1732, 1259, 547, 2824, 28752, 865, 1100, 835, 7959, 2451, 856, 780, 8334, 281, 20944, 621, 269, 3767, 594, 1205, 621, 256, 1635, 6236, 3309, 5380, 543, 8156, 3025, 8449, 267, 649, 1628, 6793, 2950, 269, 8729, 585, 7713, 267, 7585, 2439, 7692, 281, 3143, 1966, 267, 7705, 256, 1403, 596, 2479, 723, 811, 2055, 827, 16692, 296, 610, 824, 3584, 267, 1175, 1577, 803, 917, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3891, 6785, 689, 513, 1360, 1762, 2085, 602, 12429, 3125, 729, 585, 1864, 269, 1809, 1287, 519, 4641, 540, 1373, 14447, 2322, 513, 2481, 704, 593, 519, 20772, 2507, 2863, 559, 621, 4769, 1406, 269, 8191, 543, 10583, 14447, 19033, 267, 24697, 2598, 1088, 1817, 560, 729, 5462, 547, 581, 513, 667, 611, 543, 1500, 621, 4755, 269, 3245, 10073, 3781, 2742, 637, 547, 6596, 15970, 19178, 267, 19378, 8843, 1010, 1272, 796, 743, 657, 9643, 1650, 540, 1373, 513, 14447, 19033, 563, 17556, 557, 2598, 1088, 1817, 560, 24870, 538, 2123, 1299, 3318, 5718, 1646, 543, 17874, 585, 4763, 267, 9698, 267, 543, 10014, 630, 14701, 296, 264, 543, 568, 519, 2278, 540, 519, 17728, 10318, 1441, 1677, 2142, 667, 611, 281, 589, 17714, 540, 18321, 267, 26504, 267, 543, 11146, 269, 6969, 15713, 1010, 6109, 267, 19378, 5249, 585, 2637, 550, 3663, 267, 513, 1979, 1774, 577, 2754, 267, 543, 568, 513, 25982, 3782, 2344, 518, 563, 25387, 267, 646, 5713, 593, 519, 5842, 631, 622, 334, 6019, 11806, 8189, 543, 568, 513, 10584, 585, 519, 5842, 12770, 11806, 29150, 779, 13163, 269, 19378, 568, 519, 4651, 540, 1079, 8748, 1453, 945, 616, 519, 4099, 540, 1010, 1158, 563, 21010, 2060, 19378, 454, 2791, 666, 849, 6432, 547, 519, 15264, 593, 2507, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 1751, 267, 24054, 267, 543, 29621, 630, 14701, 296, 264, 31173, 257, 607, 851, 540, 834, 25787, 1315, 31173, 10017, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7286, 267, 543, 5663, 3156, 563, 289, 7728, 24535, 630, 290, 6369, 312, 264, 24321, 17955, 454, 289, 550, 821, 31294, 568, 513, 10036, 2861, 19149, 656, 2919, 609, 519, 6351, 540, 18761, 31354, 10036, 269, 901, 31294, 1826, 568, 4122, 1572, 1875, 2173, 3881, 19149, 656, 1317, 621, 814, 1100, 1634, 21177, 1448, 269, 4706, 9030, 3601, 616, 2837, 1689, 4187, 267, 1390, 5957, 543, 15237, 4027, 267, 11108, 1216, 10892, 267, 1434, 7344, 610, 19852, 6617, 267, 543, 20498, 14398, 4369, 269, 28564, 821, 31294, 568, 4998, 585, 3810, 24683, 21505, 3156, 543, 621, 779, 3335, 1031, 1369, 519, 5374, 267, 5663, 267, 1646, 267, 5599, 267, 543, 17375, 2872, 563, 28139, 675, 320, 31294, 814, 1831, 1360, 2442, 1317, 540, 922, 8748, 7592, 267, 7222, 547, 5140, 1216, 4187, 267, 1390, 16617, 6617, 267, 15309, 543, 14809, 6604, 267, 15006, 267, 17545, 267, 1434, 7344, 6617, 267, 607, 1134, 607, 1164, 27529, 2773, 269, 5221, 540, 891, 2934, 267, 4874, 675, 320, 31294, 568, 5227, 585, 1279, 3734, 3156, 543, 1031, 2429, 3875, 6080, 269, 898, 568, 2808, 4105, 585, 519, 1697, 19149, 566, 540, 4496, 2371, 543, 3167, 16546, 563, 306, 18754, 31294, 568, 19775, 676, 11544, 14614, 12853, 609, 21187, 543, 3490, 11041, 269, 6270, 4999, 2488, 7123, 19852, 6617, 267, 1164, 21177, 1377, 267, 8748, 15309, 4027, 267, 543, 1434, 19149, 566, 267, 2705, 814, 4057, 1216, 4187, 543, 16617, 6617, 269, 1306, 513, 12343, 540, 922, 19363, 267, 9770, 31294, 568, 1631, 7361, 1031, 585, 519, 19149, 566, 540, 12902, 3346, 26971, 269, 5047, 267, 621, 568, 4122, 5916, 609, 824, 6067, 1162, 538, 606, 4674, 547, 3132, 31294, 540, 2362, 2298, 543, 1871, 563, 5472, 891, 5722, 2010, 540, 31294, 949, 581, 5219, 547, 607, 6687, 17123, 630, 6573, 264, 6067, 1162, 267, 3665, 2604, 630, 7968, 264, 6067, 1162, 267, 7286, 6067, 1162, 267, 5230, 1673, 14280, 6067, 1162, 267, 20614, 6067, 1162, 267, 16669, 6067, 1162, 267, 1870, 6067, 1162, 267, 543, 865, 8521, 267, 13461, 593, 519, 10058, 3601, 540, 3490, 11041, 267, 21187, 267, 543, 5394, 22211, 1031, 538, 519, 1184, 540, 5478, 563, 2252, 596, 17329, 713, 2110, 2376, 543, 596, 1131, 899, 547, 3489, 811, 9623, 609, 14621, 547, 476, 6893, 486, 32453, 6893, 352, 6893, 504, 6893, 369, 6893, 501, 6893, 503, 6893, 482, 6893, 356, 32453, 6893, 350, 6893, 352, 16055, 487, 6893, 511, 6893, 503, 6893, 359, 6893, 373, 6893, 485, 476, 6893, 351, 6893, 369, 16055, 486, 6893, 360, 16055, 487, 6893, 511, 16055, 482, 6893, 360, 6893, 503, 6893, 498, 6893, 369, 24963, 2628, 513, 3643, 547, 519, 2546, 269, 0, 307, 984, 8829, 723, 1044, 513, 2629, 851, 540, 812, 2486, 585, 1082, 1296, 267, 855, 513, 4389, 29627, 1758, 1242, 1249, 568, 602, 7111, 4658, 538, 13314, 723, 6836, 13189, 6236, 602, 519, 2025, 523, 2395, 269, 5065, 1159, 10280, 946, 513, 2189, 5389, 602, 20546, 525, 3274, 1373, 1175, 10269, 2472, 269, 10738, 713, 5816, 3135, 267, 649, 786, 3605, 519, 3140, 2250, 540, 7111, 13189, 543, 4010, 1018, 2306, 873, 12600, 563, 8794, 13189, 538, 7849, 1977, 2528, 568, 11911, 547, 5289, 543, 16392, 3206, 269, 595, 7837, 10577, 568, 9833, 607, 513, 10723, 10786, 543, 3730, 585, 2472, 267, 19001, 267, 543, 6051, 9821, 269, 769, 519, 476, 1626, 628, 2540, 267, 950, 3864, 13896, 4951, 909, 538, 3013, 267, 789, 4362, 519, 946, 540, 16906, 1851, 7849, 4658, 538, 13314, 269, 1358, 3323, 14237, 16906, 593, 519, 24914, 543, 267, 16172, 1310, 267, 3323, 856, 1104, 532, 873, 883, 824, 2694, 1472, 519, 1158, 563, 30943, 13189, 2356, 616, 711, 1175, 899, 3339, 30926, 950, 621, 2501, 547, 6721, 269, 10871, 16906, 16906, 568, 1175, 3812, 593, 7087, 1977, 3959, 267, 799, 666, 581, 711, 1641, 547, 5313, 1852, 267, 4352, 3339, 10269, 616, 14475, 896, 5313, 7939, 269, 7111, 2043, 8263, 602, 519, 14099, 568, 10723, 267, 865, 602, 789, 2327, 602, 519, 2504, 1935, 568, 10357, 7874, 563, 26222, 16906, 568, 711, 1152, 827, 7296, 621, 568, 2965, 827, 2245, 269, 898, 666, 581, 4712, 609, 2067, 11922, 543, 2067, 2609, 267, 602, 2306, 621, 3039, 543, 8902, 269, 7111, 11570, 616, 3222, 540, 519, 2942, 1764, 13189, 1522, 723, 593, 1072, 543, 519, 10450, 267, 865, 602, 789, 6529, 547, 10357, 7888, 3157, 547, 1020, 7296, 13189, 269, 7111, 13189, 616, 1863, 540, 5279, 689, 707, 13818, 6878, 799, 666, 581, 4092, 538, 2757, 10269, 563, 30943, 524, 580, 3549, 616, 2027, 538, 2511, 543, 6492, 269, 589, 2603, 540, 9755, 946, 5929, 6805, 11247, 593, 1010, 610, 1200, 24386, 269, 4256, 3631, 723, 2620, 3347, 585, 519, 2245, 540, 707, 7087, 1977, 2043, 267, 543, 1142, 543, 1169, 4062, 540, 1148, 960, 2982, 513, 2239, 269, 634, 16919, 540, 7111, 13189, 786, 4268, 689, 6671, 524, 12127, 269, 7087, 2043, 8415, 513, 11100, 540, 1585, 11922, 267, 1519, 524, 25729, 3762, 267, 547, 1459, 519, 13189, 513, 10058, 9329, 563, 30943, 13189, 723, 513, 10731, 5389, 799, 6087, 873, 10058, 543, 3982, 689, 3044, 524, 12127, 269, 1358, 616, 711, 1175, 5370, 602, 11886, 606, 21341, 267, 2705, 789, 616, 513, 1587, 540, 2245, 602, 814, 1044, 11843, 1524, 585, 1082, 1296, 269, 7111, 13189, 616, 10058, 538, 2511, 267, 6492, 267, 543, 5663, 1935, 269, 10871, 1977, 4961, 4324, 2688, 543, 2543, 585, 707, 4259, 267, 7132, 789, 4228, 713, 1184, 1369, 741, 16906, 5137, 269, 898, 568, 1360, 1271, 5431, 543, 1871, 519, 1686, 543, 2528, 3297, 7111, 13189, 267, 1317, 789, 616, 606, 3312, 3296, 540, 519, 16906, 2344, 269, 0, 24993, 281, 9947, 476, 2767, 267, 476, 1708, 272, 454, 10501, 7847, 616, 513, 1507, 267, 6653, 4829, 602, 568, 1419, 1031, 538, 11256, 269, 634, 2030, 1225, 7949, 7472, 666, 581, 9070, 730, 3362, 676, 2921, 27191, 543, 9544, 873, 538, 17428, 610, 2047, 883, 519, 2666, 269, 594, 786, 3802, 596, 998, 875, 547, 1491, 27191, 689, 707, 1225, 7949, 17382, 267, 799, 1058, 948, 596, 2333, 519, 1297, 540, 1225, 7949, 26965, 596, 723, 563, 8794, 14606, 547, 31666, 622, 4354, 7949, 12338, 14005, 454, 763, 1101, 1900, 538, 9070, 908, 707, 1225, 7949, 26965, 568, 547, 1491, 27191, 269, 898, 781, 1271, 602, 519, 5969, 711, 581, 1932, 2462, 543, 3568, 693, 2547, 1079, 19512, 593, 1142, 1439, 540, 621, 269, 901, 1058, 1450, 585, 2614, 5072, 547, 1106, 267, 855, 711, 865, 1082, 607, 547, 1118, 519, 2030, 2352, 610, 7543, 547, 4383, 609, 3908, 2230, 269, 6875, 513, 1762, 7936, 267, 946, 513, 8325, 16405, 547, 2759, 1055, 519, 1439, 609, 693, 2547, 1079, 19512, 267, 543, 1287, 1747, 621, 538, 5848, 3037, 269, 898, 568, 1271, 602, 519, 5969, 3085, 1405, 3251, 1932, 6632, 610, 3819, 585, 6905, 5712, 540, 942, 607, 713, 666, 14207, 922, 2702, 547, 3597, 5265, 563, 763, 1985, 1900, 1310, 11093, 707, 1225, 7949, 2030, 538, 1216, 568, 7996, 827, 513, 3923, 1354, 596, 1847, 621, 883, 519, 7943, 269, 634, 7996, 1974, 568, 1317, 5072, 949, 1869, 581, 8108, 11895, 1256, 1498, 789, 616, 856, 540, 8289, 269, 4495, 596, 4312, 31372, 1472, 13977, 2395, 267, 1491, 707, 1762, 17382, 543, 9900, 4894, 1022, 3762, 689, 519, 1283, 3368, 540, 922, 6565, 630, 10472, 786, 948, 621, 4309, 811, 3141, 1040, 3973, 5402, 2322, 1142, 1007, 2030, 13964, 1510, 15700, 519, 10347, 5072, 799, 723, 4646, 593, 519, 5377, 3368, 540, 519, 6565, 563, 1692, 547, 31666, 622, 4354, 7949, 12338, 14005, 4635, 9995, 454, 306, 663, 666, 849, 581, 1031, 607, 513, 18640, 5420, 267, 543, 621, 1281, 711, 2154, 513, 3597, 532, 9449, 269, 898, 568, 3274, 2322, 883, 513, 8708, 1287, 27191, 616, 17332, 883, 621, 267, 4712, 585, 14450, 269, 594, 4769, 1405, 1039, 12775, 9475, 547, 891, 11149, 563, 16605, 519, 5070, 5848, 693, 782, 2053, 547, 2057, 15018, 856, 540, 519, 5969, 781, 5072, 563, 303, 1886, 698, 566, 676, 27191, 568, 513, 1434, 1259, 547, 2333, 519, 8244, 540, 713, 2030, 269, 898, 849, 2337, 2569, 4719, 8390, 538, 2104, 2371, 799, 949, 2097, 607, 2640, 585, 930, 25210, 563, 2026, 606, 4244, 267, 835, 666, 946, 28295, 2553, 971, 607, 2011, 2482, 1359, 610, 24933, 5969, 543, 21910, 532, 547, 29608, 1225, 7847, 689, 741, 5072, 2864, 982, 1210, 27191, 269, 1452, 2409, 616, 811, 2352, 855, 2709, 6793, 3597, 1949, 602, 2285, 5488, 10661, 3928, 609, 1447, 1981, 540, 2068, 2152, 950, 3379, 547, 18640, 3842, 6565, 27191, 269, 2060, 891, 1079, 3681, 2139, 267, 596, 1058, 3442, 627, 31295, 1505, 1655, 17015, 707, 2115, 2336, 303, 1886, 698, 908, 4354, 7847, 4635, 3131, 29411, 454, 268, 3131, 29411, 568, 513, 8748, 3037, 17203, 543, 621, 666, 581, 1031, 547, 29608, 1225, 7847, 563, 268, 19130, 909, 11149, 609, 829, 29411, 865, 602, 789, 616, 827, 1614, 6709, 11467, 2407, 454, 16927, 1705, 711, 1039, 12775, 9475, 547, 891, 11149, 454, 268, 9255, 707, 27191, 883, 891, 11149, 2394, 789, 616, 4904, 909, 4625, 630, 528, 1175, 17401, 14095, 994, 268, 9255, 891, 17428, 3544, 454, 268, 2991, 513, 3923, 610, 865, 267, 596, 1058, 1294, 5072, 4947, 909, 856, 540, 519, 27191, 454, 268, 14190, 873, 547, 3136, 3395, 538, 741, 1007, 1753, 585, 693, 2547, 2185, 3275, 1354, 13003, 532, 883, 707, 4677, 543, 6368, 16276, 930, 4829, 2336, 1607, 8666, 568, 513, 1225, 7949, 602, 729, 9070, 730, 543, 5116, 883, 829, 29411, 269, 634, 835, 594, 723, 538, 519, 5070, 568, 711, 2943, 3597, 532, 269, 901, 835, 689, 519, 829, 29411, 568, 4358, 547, 3597, 1310, 1614, 4374, 269, 594, 6415, 8066, 621, 936, 519, 5070, 865, 621, 781, 2653, 547, 1294, 519, 5072, 538, 519, 8666, 563, 13828, 540, 891, 1225, 7847, 689, 519, 829, 29411, 8708, 563, 5475, 24306, 5620, 717, 3497, 4934, 454, 5475, 519, 5072, 723, 6738, 267, 596, 666, 2901, 1494, 909, 707, 1225, 7949, 2030, 610, 4734, 621, 538, 922, 3312, 8708, 269, 23657, 1259, 267, 1118, 2386, 547, 1832, 621, 5848, 676, 14450, 1169, 1906, 2395, 269, 5269, 2386, 711, 547, 936, 4248, 1317, 602, 7512, 3597, 4232, 3079, 540, 2635, 2208, 2336, 763, 1655, 942, 547, 798, 713, 568, 538, 519, 5614, 950, 596, 616, 3843, 547, 1205, 707, 2371, 3323, 269, 634, 8708, 2115, 547, 581, 1804, 2614, 585, 519, 3597, 543, 6565, 630, 520, 2547, 513, 20645, 1040, 898, 666, 849, 581, 2944, 1282, 519, 4832, 610, 2887, 952, 5551, 269, 3807, 1118, 2386, 621, 568, 2760, 1932, 4411, 3544, 2336, 2252, 2451, 593, 922, 1378, 267, 707, 2030, 786, 1332, 909, 883, 513, 17382, 609, 811, 4829, 24481, 8371, 982, 513, 1494, 2356, 3091, 269, 1403, 1494, 1540, 909, 910, 799, 3322, 9427, 1022, 12721, 18047, 602, 1522, 723, 6738, 1472, 621, 269, 1411, 666, 849, 798, 713, 538, 519, 2887, 267, 676, 9427, 621, 689, 922, 8708, 543, 16298, 513, 1007, 835, 609, 29238, 3037, 563, 763, 6206, 547, 21988, 31666, 566, 568, 7720, 626, 675, 2336, 10890, 11588, 540, 4354, 7847, 454, 268, 4354, 7847, 616, 513, 1434, 2707, 540, 6171, 595, 543, 22670, 267, 1312, 1898, 547, 10307, 563, 268, 634, 16320, 30662, 514, 538, 519, 15708, 568, 3254, 547, 723, 15934, 3601, 267, 7303, 10408, 3441, 547, 2149, 1996, 2068, 563, 268, 2290, 7484, 540, 1225, 7847, 814, 827, 476, 2004, 8477, 454, 268, 4354, 7847, 798, 711, 991, 547, 581, 14023, 730, 256, 1358, 666, 2063, 585, 513, 1279, 942, 952, 6854, 693, 4055, 2837, 563, 31995, 4354, 7949, 12518, 454, 10501, 7847, 616, 513, 25836, 17382, 602, 2154, 2370, 5826, 543, 666, 581, 6738, 538, 1034, 16374, 269, 4354, 7949, 2371, 786, 1332, 1134, 609, 824, 19211, 610, 30676, 899, 30207, 267, 18812, 341, 1149, 267, 24712, 267, 24917, 903, 22976, 267, 3109, 9440, 26965, 267, 543, 811, 563, 268, 7233, 519, 1225, 7949, 17382, 689, 3597, 18450, 538, 2038, 5614, 1354, 789, 6978, 856, 585, 1655, 2164, 269, 6733, 585, 2635, 23302, 5072, 950, 9544, 873, 547, 2333, 741, 6668, 2557, 282, 952, 596, 2030, 873, 1282, 2887, 3275, 2503, 930, 2009, 5884, 3724, 540, 3762, 4470, 593, 875, 4411, 621, 4991, 1141, 596, 2661, 563, 268, 6226, 909, 2614, 2230, 896, 707, 5551, 5544, 630, 12671, 476, 1321, 6279, 264, 547, 1747, 519, 3597, 3440, 1287, 1394, 15640, 1472 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1475, 6246, 269, 274, 260, 2008, 347, 275, 1475, 295, 537, 8725, 268, 763, 8381, 4133, 4149, 13610, 8092, 267, 29255, 1475, 273, 267, 28178, 267, 1822, 1475, 3607, 269, 275, 260, 2008, 347, 276, 1475, 305, 1392, 728, 4149, 534, 24527, 3626, 14114, 660, 9222, 267, 11404, 1475, 273, 267, 3192, 267, 1822, 1475, 5392, 269, 275, 260, 2008, 347, 278, 1475, 291, 23775, 6363, 677, 29247, 5025, 337, 28002, 267, 29255, 1475, 272, 267, 280, 6246, 267, 1822, 1475, 2764, 269, 275, 260, 2008, 347, 280, 1475, 26596, 21293, 268, 6124, 4858, 684, 325, 1564, 267, 29255, 1475, 272, 267, 28796, 267, 1822, 1475, 4649, 269, 278, 260, 2008, 347, 1015, 1475, 26596, 17630, 4211, 541, 3149, 21112, 267, 11404, 1475, 272, 267, 5400, 275, 267, 1822, 1475, 3451, 269, 274, 260, 2008, 347, 1556, 1475, 26596, 12770, 14114, 752, 1633, 6953, 599, 1189, 267, 11404, 1475, 272, 267, 25484, 267, 1822, 1475, 2641, 269, 280, 260, 2008, 1805, 919, 543, 11182, 609, 519, 22662, 262, 5207, 8167, 540, 3571, 3966, 923, 630, 1001, 271, 994, 31340, 1678, 1475, 13750, 270, 614, 761, 800, 1475, 14367, 13732, 2551, 1475, 8110, 1417, 17104, 2008, 7021, 3368, 540, 519, 17104, 2551, 568, 13671, 538, 519, 25763, 3148, 267, 6140, 7768, 540, 11204, 4892, 267, 581, 519, 11876, 4486, 256, 4993, 543, 7147, 723, 930, 540, 519, 22699, 262, 4102, 5095, 540, 5165, 15092, 543, 6239, 1977, 3571, 3966, 923, 538, 519, 2136, 2276, 269, 634, 29036, 3148, 568, 13856, 676, 17896, 681, 15092, 543, 29401, 4892, 267, 688, 9109, 262, 519, 22662, 262, 5207, 9830, 540, 1312, 538, 519, 22662, 262, 2197, 267, 865, 621, 568, 269, 769, 519, 11068, 9533, 3148, 267, 10704, 593, 519, 9823, 5450, 549, 9351, 267, 30571, 534, 4892, 616, 519, 22699, 262, 4102, 540, 17104, 2516, 267, 1018, 286, 8419, 568, 13856, 676, 23162, 4892, 543, 17896, 681, 15092, 267, 596, 917, 586, 518, 1345, 269, 769, 1312, 519, 4279, 20463, 2276, 543, 519, 3162, 9533, 2276, 267, 5165, 15092, 543, 17896, 681, 15092, 20441, 267, 581, 519, 11876, 4486, 256, 5165, 15092, 20441, 538, 519, 22662, 262, 1964, 540, 519, 22662, 262, 2197, 267, 925, 514, 262, 519, 22662, 262, 5375, 2136, 2276, 267, 3162, 6239, 2136, 2276, 543, 4279, 26111, 2829, 563, 2026, 540, 476, 1001, 279, 267, 5111, 476, 7830, 260, 540, 519, 22662, 262, 4182, 781, 17104, 2551, 941, 540, 11204, 5169, 630, 5408, 3349, 1040, 717, 262, 9774, 1631, 543, 6432, 547, 713, 530, 534, 269, 6271, 476, 280, 269, 277, 260, 941, 540, 17896, 681, 4618, 5169, 267, 609, 827, 476, 275, 260, 1142, 540, 23162, 543, 30571, 534, 543, 476, 274, 269, 275, 260, 29401, 8129, 269, 634, 14230, 941, 540, 824, 6239, 1977, 610, 540, 3162, 1977, 5169, 267, 610, 540, 5169, 2047, 689, 8050, 269, 5565, 555, 8674, 540, 782, 17104, 543, 21337, 4892, 941, 4535, 538, 519, 22699, 262, 2136, 2276, 563, 2467, 616, 1906, 11082, 2047, 689, 8050, 267, 2094, 1975, 8643, 1841, 723, 13840, 32164, 3603, 547, 5824, 3013, 2864, 982, 2296, 6741, 752, 514, 262, 2477, 269, 595, 6415, 699, 21266, 594, 2995, 586, 714, 269, 5221, 540, 713, 267, 1034, 3571, 3966, 923, 945, 2697, 2933, 607, 1975, 8643, 731, 610, 5053, 849, 2697, 609, 5824, 1977, 3084, 5169, 267, 547, 581, 2386, 269, 769, 519, 22662, 262, 476, 1001, 278, 17227, 7447, 5111, 476, 272, 269, 274, 2929, 4892, 4080, 930, 1106, 540, 834, 28049, 257, 607, 741, 22693, 267, 2436, 2047, 689, 8050, 610, 711, 563, 1103, 7187, 1715, 6792, 543, 7013, 12548, 267, 972, 568, 513, 22662, 262, 1804, 6712, 540, 3571, 3966, 923, 945, 10250, 741, 22693, 547, 5053, 13896, 540, 519, 22699, 262, 3735, 476, 1626, 628, 2540, 998, 519, 22699, 262, 476, 1704, 628, 2540, 267, 3014, 3440, 256, 4658, 689, 713, 4282, 1419, 1582, 268, 1211, 1518, 607, 834, 14367, 3966, 657, 2580, 834, 28049, 257, 610, 834, 14367, 13732, 2668, 20289, 24329, 256, 3509, 540, 891, 13896, 849, 954, 3405, 3072, 609, 2199, 589, 1067, 785, 2103, 267, 1525, 514, 262, 513, 631, 652, 714, 334, 2551, 269, 19452, 267, 7013, 17039, 568, 1753, 547, 2950, 540, 1004, 540, 2052, 776, 11866, 16350, 267, 1634, 607, 1772, 548, 10722, 657, 267, 538, 1840, 547, 824, 1004, 540, 5053, 22693, 563, 2419, 4618, 657, 267, 2836, 4613, 3930, 267, 715, 826, 341, 727, 343, 4618, 657, 543, 1855, 13568, 657, 616, 4892, 540, 5053, 543, 5924, 11204, 16350, 269, 1488, 571, 262, 1131, 9493, 6432, 547, 713, 695, 924, 286, 932, 4618, 657, 2661, 538, 519, 25763, 267, 715, 826, 341, 727, 343, 4618, 657, 538, 1715, 6792, 543, 1855, 13568, 657, 538, 7147, 269, 715, 826, 341, 727, 343, 4618, 657, 543, 1855, 13568, 657, 616, 3982, 4529, 609, 741, 1378, 32345, 267, 22463, 543, 7574, 5389, 267, 519, 695, 924, 24849, 330, 269, 634, 2165, 834, 2419, 4618, 334, 257, 2968, 2442, 10838, 11204, 4892, 538, 519, 22662, 262, 476, 3422, 271, 338, 546, 584, 514, 262, 519, 932, 4618, 334, 18541, 543, 932, 4618, 334, 11873, 267, 543, 568, 2221, 2938, 607, 606, 6803, 543, 2686, 3961, 676, 930, 269, 14348, 9493, 3494, 713, 695, 924, 286, 303, 11823, 19191, 595, 15530, 541, 932, 5451, 557, 345, 543, 29787, 21280, 2946, 21293, 16645, 541, 9418, 616, 4583, 932, 4618, 657, 563, 301, 8500, 7595, 753, 616, 4892, 540, 17896, 681, 4618, 16350, 689, 519, 22662, 262, 1715, 3840, 4975, 1858, 269, 1733, 880, 339, 1631, 543, 552, 626, 15073, 558, 269, 1703, 616, 2673, 547, 1079, 2929, 715, 8500, 7595, 753, 538, 519, 2136, 2276, 269, 1733, 880, 339, 1631, 543, 6432, 547, 713, 530, 534, 269, 25587, 715, 8500, 7595, 753, 1331, 6837, 342, 1580, 28641, 744, 322, 553, 1470, 4211, 677, 14162, 267, 2475, 10966, 7040, 25960, 590, 8205, 590, 582, 558, 599, 528, 543, 22256, 26391, 700, 2100, 345, 563, 31142, 657, 2501, 689, 3818, 268, 24055, 543, 3818, 268, 996, 28649, 2477, 609, 4763, 540, 8129, 282, 4061, 267, 513, 13411, 21337, 666, 581, 689, 1022, 5198, 610, 3575, 540, 621, 269, 2142, 329, 904, 639, 269, 634, 1419, 1034, 1455, 7278, 1845, 616, 281, 6805, 689, 519, 22662, 262, 17113, 630, 30943, 31787, 1070, 3979, 267, 543, 3864, 267, 1131, 9493, 2220, 958, 602, 286, 4475, 267, 1034, 5824, 657, 723, 6404, 22693, 540, 1114, 10659, 543, 12753, 267, 4352, 1875, 2173, 12089, 5824, 657, 540, 1142, 5198, 849, 2291, 538, 9867, 5666, 593, 1142, 2197, 563, 14367, 13732, 610, 21337, 5169, 568, 4830, 540, 5198, 543, 568, 17941, 834, 30710, 640, 257, 676, 519, 2136, 2276, 17227, 13163, 269, 1733, 880, 339, 1631, 543, 6432, 547, 713, 530, 534, 269, 667, 2570, 514, 262, 593, 519, 22699, 262, 4525, 1369, 5824, 3013, 267, 513, 22699, 262, 1713, 8167, 540, 5824, 657, 723, 1164, 547, 9793, 2157, 540, 7810, 268, 5028, 4427, 25781, 3979, 3403, 998, 519, 22699, 262, 2558, 534, 268, 4263, 23007, 695, 331, 1511, 4123, 269, 10513, 1025, 1430, 514, 262, 9478, 267, 6432, 547, 713, 269, 1809, 849, 607, 513, 1267, 689, 17417, 540, 24908, 5198, 676, 1259, 540, 519, 3345, 3979, 631, 3233, 7332, 13567, 540, 30345, 807, 954, 332, 1460, 514, 262, 741, 6090, 883, 519, 21979, 262, 2551, 269, 6684, 547, 1975, 8643, 1841, 267, 14082, 267, 2296, 267, 4436, 543, 1082, 824, 3864, 6082, 936, 519, 5553, 267, 1082, 5824, 4892, 849, 4865, 7810, 5736, 1715, 4168, 9484, 14551, 545, 6014, 22693, 269, 1677, 513, 14758, 6708, 824, 5824, 4892, 4865, 693, 2547, 9864, 22693, 540, 811, 2487, 2022, 12258, 11102, 22693, 689, 12891, 5287, 21532, 7642, 267, 2274, 2779, 710, 29240, 630, 8867, 3316, 3150, 267, 26219, 543, 24752, 1070, 607, 1134, 607, 4457, 543, 5545, 1851, 1866, 269, 4935, 267, 607, 513, 13411, 2898, 267, 5824, 4892, 616, 513, 22662, 262, 3818, 24055, 2551, 267, 609, 5232, 540, 8098, 4869, 675, 2157, 602, 4268, 689, 1268, 547, 1268, 267, 689, 4268, 514, 262, 2518, 4719, 2959, 563, 16914, 867, 514, 262, 547, 519, 476, 1001, 278, 1977, 7991, 11752, 267, 476, 4792, 260, 540, 17104, 543, 5824, 657, 4857, 607, 6519, 269, 634, 4102, 2338, 540, 1346, 945, 2015, 2933, 6519, 3571, 3966, 923, 2097, 689, 1369, 519, 22699, 262, 11204, 267, 17896, 681, 4618, 267, 23162, 267, 18207, 1014, 543, 5053, 2950, 563, 7021, 513, 22662, 262, 10116, 540, 17104, 13624, 520, 3626, 4892, 2697, 607, 834, 16341, 824, 5198, 1701, 1452, 834, 16341, 824, 5198, 257, 3571, 3966, 923, 616, 2356, 10924, 547, 581, 544, 652, 714, 657, 610, 15273, 3430, 657, 269, 589, 1713, 6871, 540, 519, 22699, 262, 17104, 543, 21337, 2551, 1582, 268, 1211, 5809, 607, 631, 652, 714, 334, 267, 3226, 519, 22662, 262, 11204, 543, 6239, 1977, 2146, 269, 631, 652, 714, 334, 568, 711, 513, 7292, 7121, 538, 519, 22662, 262, 772, 2529, 267, 1131, 9493, 3494, 621, 286, 17227, 267, 855, 19752, 2576, 945, 568, 6857, 540, 741, 7111, 1977, 543, 3864, 22693, 267, 1131, 9493, 2220, 958, 602, 286, 2986, 782, 4892, 945, 13761, 519, 4216, 834, 5278, 4033, 17813, 2580, 476, 9032, 2600, 941, 17104, 563, 29909, 835, 21017, 540, 519, 3818, 268, 15869, 17013, 941, 3571, 3966, 923, 269, 4107, 540, 519, 3818, 268, 24055, 2551, 538, 519, 22699, 262, 11204, 267, 30571, 534, 267, 543, 26976, 534, 2950, 616, 540, 6404, 3864, 543, 7111, 1977, 22693, 630, 300, 652, 714, 334, 1070, 1247, 1034, 540, 519, 21979, 262, 3818, 24055, 2551, 538, 519, 21979, 262, 17896, 681, 4618, 267, 29401, 267, 543, 23162, 2950, 616, 540, 6404, 3864, 267, 3979, 267, 543, 7111, 1977, 22693, 630, 300, 592, 16201, 20081, 686, 268, 24055, 1916, 763, 1906, 4627, 8536, 7489, 3571, 3966, 923, 616, 540, 1585, 10080, 267, 1851, 799, 1331, 27208, 544, 652, 714, 657, 609, 5053, 4282, 267, 1306, 2103, 540, 5824, 1977, 4282, 630, 1410, 3263, 925, 514, 262, 4457, 10699, 753, 543, 5545, 3131, 12320, 2103, 264, 543, 1346, 540, 2487, 6404, 7489, 543, 17104, 4282, 269, 2142, 519, 11876, 4486, 1934, 781, 513, 844, 732, 530, 534, 269, 8074, 602, 21309, 16394, 616, 3622, 711, 18886, 607, 17104, 267, 5103, 519, 22699, 262, 1249, 602, 519, 5053, 32519, 519, 22662, 262, 13372, 543, 1082, 21309, 16394, 723, 5053, 4408, 563, 14367, 13732, 543, 5824, 657, 616, 1419, 7292, 569, 540, 7111, 1977, 22693, 269, 1280, 1383, 267, 540, 5824, 657, 8174, 514, 262, 689, 7187, 6792, 267, 2015, 2933, 6519, 610, 11760, 7111, 1977, 22693, 609, 930, 3864, 23399, 267, 1247, 540, 1346, 8174, 514, 262, 689, 7013, 11204, 22693, 267, 519, 21979, 262, 5354, 616, 7111, 1977, 610, 540, 7111, 1977, 543, 3864, 1323, 6827, 787, 269, 769, 30188, 267, 2904, 753, 616, 5354, 267, 1247, 538, 4432, 30571, 267, 1004, 540, 7111, 1977, 16350, 616, 519, 21979, 262, 5354, 269, 10513, 1025, 1430, 514, 262, 9478, 267, 6432, 547, 713, 269, 769, 519, 21979, 262, 29401, 6243, 267, 519, 21979, 262, 2551, 616, 7361, 1500, 909, 540, 1004, 609, 954, 2173, 12089, 7278, 1845, 267, 538, 799, 972, 616, 1256, 2157, 540, 3864, 22693, 267, 609, 4130, 2338, 540, 1733, 2572, 543, 2349, 2931, 607, 1134, 563, 1103, 17896, 22656, 267, 1004, 609, 3818, 268, 24055, 22693, 616, 519, 22662, 262, 5354, 269, 17610, 713, 568, 621, 269, 1703, 616, 849, 5095, 540, 15866, 540, 3979, 16350, 607, 1134, 607, 5095, 540, 1977, 4095, 16350, 607, 1134, 607, 1346, 609, 954, 332, 12089, 7278, 1845, 269, 10699, 753, 616, 6140, 540, 6519, 5824, 1977, 22693, 267, 2705, 972, 616, 849, 5095, 540, 2349, 2931, 543, 3818, 268, 24055, 338, 607, 1134, 269, 634, 5198, 543, 2528, 540, 1142, 17104, 13624, 520, 3626, 2197, 543, 741, 2136, 2276, 29563, 15320, 676, 1686, 543, 11585, 563, 25324, 976, 540, 11204, 6561, 2099, 519, 21979, 262, 13557, 540, 519, 22699, 262, 2475, 17104, 13624, 520, 3626, 2551, 269, 4107, 11204, 4892, 2907, 609, 606, 21979, 262, 3818, 19356, 1049, 4527, 538, 519, 22699, 262, 7330, 2392, 11294, 262, 519, 22662, 262, 476, 3192, 271, 338, 616, 540, 15866, 3864, 5169, 267, 1247, 1034, 2487, 11204, 4892, 602, 723, 28953, 610, 13956, 689, 20404, 547, 519, 21979, 262, 2136, 2276, 2022, 268, 2735, 271, 338, 616, 540, 15866, 7111, 1977, 16350, 609, 4268, 514, 262, 2157, 540, 3864 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1044, 25735, 547, 1413, 899, 513, 4062, 689, 606, 4505, 942, 1974, 780, 3719, 1946, 1131, 2576, 1616, 547, 4444, 25447, 11647, 3079, 540, 1945, 1007, 286, 1280, 835, 3364, 267, 25447, 11647, 1419, 814, 513, 2189, 19259, 543, 1915, 602, 3112, 581, 1336, 538, 2527, 1790, 22004, 3688, 269, 3962, 4062, 6645, 513, 1650, 543, 8591, 513, 2631, 540, 1686, 543, 2245, 547, 513, 4055, 269, 9578, 267, 1082, 1004, 3494, 602, 25447, 11647, 568, 3710, 547, 2063, 543, 786, 3180, 922, 1871, 936, 942, 780, 8170, 1576, 267, 10655, 25447, 11647, 3884, 1405, 1175, 827, 9140, 519, 1034, 7199, 610, 14969, 4773, 269, 1411, 666, 849, 1265, 5898, 538, 12863, 3688, 267, 971, 607, 21305, 19141, 267, 22311, 267, 543, 21684, 269, 1656, 1810, 1405, 7340, 827, 16560, 6575, 267, 899, 642, 1162, 267, 18810, 267, 543, 20955, 269, 2353, 540, 891, 1919, 666, 1039, 1719, 543, 7209, 547, 707, 2713, 5624, 780, 3383, 875, 666, 596, 1376, 3695, 519, 1158, 540, 25447, 11647, 543, 16560, 6575, 286, 2290, 1259, 568, 547, 3643, 7270, 602, 20647, 538, 9513, 891, 2010, 540, 3688, 269, 2368, 4609, 1256, 1450, 596, 547, 6882, 707, 3406, 676, 2511, 267, 1974, 267, 610, 3902, 2039, 269, 2334, 1259, 267, 596, 666, 1265, 4010, 1018, 596, 2811, 3168, 585, 543, 3251, 1369, 707, 6578, 780, 5194, 4781, 568, 547, 3643, 2199, 25447, 15945, 267, 7904, 320, 6990, 267, 610, 10040, 6455, 269, 1452, 4025, 616, 2407, 540, 6456, 16782, 7996, 547, 581, 4362, 269, 3807, 3314, 547, 1491, 707, 942, 267, 2307, 2055, 267, 543, 3972, 707, 26756, 950, 14045, 2436, 610, 711, 547, 6718, 1945, 269, 2060, 513, 2370, 3787, 540, 9639, 543, 2259, 267, 596, 1522, 1175, 1831, 606, 25447, 21689, 3054, 2439, 1103, 3932, 267, 25447, 11647, 543, 16560, 6575, 2709, 513, 19214, 883, 519, 2250, 1247, 4946, 5898, 543, 1915, 547, 938, 1459, 6377, 2729, 269, 6787, 596, 4782, 6264, 328, 846, 556, 24737, 1431, 610, 2241, 21305, 9060, 267, 972, 781, 2141, 1945, 1007, 547, 3605, 538, 713, 9159, 15908, 269, 1924, 979, 6619, 267, 4685, 538, 267, 543, 25793, 1662, 707, 6418, 1884, 1172, 518, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15771, 24535, 281, 476, 20542, 268, 9262, 277, 268, 271, 5780, 272, 1315, 966, 3041, 3951, 25723, 7034, 25492, 454, 292, 5979, 638, 775, 10378, 568, 519, 30856, 2707, 585, 3943, 543, 3864, 6273, 267, 1688, 8154, 539, 556, 24737, 1431, 543, 9758, 1884, 2294, 563, 13126, 23103, 11647, 689, 713, 3135, 454, 288, 1390, 23103, 568, 6913, 609, 513, 4999, 540, 513, 2603, 540, 2609, 269, 1677, 1711, 513, 1390, 16889, 2230, 267, 596, 1590, 3643, 4432, 13228, 775, 2593, 602, 23619, 519, 20923, 4015, 540, 8654, 2472, 267, 15135, 267, 4859, 4559, 267, 7499, 4773, 543, 1884, 2294, 538, 835, 1747, 563, 300, 597, 5558, 267, 15135, 543, 7515, 585, 707, 1753, 454, 2691, 621, 568, 942, 547, 2285, 513, 18138, 5905, 547, 707, 1753, 954, 12542, 267, 596, 1590, 3442, 689, 1312, 2413, 543, 5929, 11647, 4015, 267, 21305, 3688, 267, 16560, 4773, 543, 1148, 4773, 269, 1714, 13228, 775, 2593, 568, 513, 1390, 2228, 6300, 602, 10525, 513, 30811, 4015, 540, 11647, 543, 16560, 3688, 540, 782, 6688, 585, 707, 5321, 563, 290, 629, 514, 1115, 543, 1433, 322, 1162, 540, 12716, 9096, 454, 24246, 1433, 322, 1162, 543, 19970, 1115, 540, 12716, 9096, 689, 1714, 13228, 775, 2593, 269, 901, 3135, 6770, 519, 5561, 513, 10875, 3099, 540, 25447, 4015, 267, 1034, 2413, 535, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 4165, 2294, 1299, 11814, 17156, 1315, 4165, 1664, 30166, 8132, 543, 5463, 20753, 8551, 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, 281, 8490, 14568, 10003, 338, 609, 1234, 7094, 539, 21311, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 1018, 4523, 547, 782, 519, 5068, 14569, 267, 11435, 267, 543, 11149, 602, 1004, 12235, 2476, 286, 2755, 621, 781, 1271, 547, 2569, 267, 19074, 267, 543, 22120, 8164, 2009, 267, 3006, 5068, 3653, 1869, 7475, 909, 538, 26071, 610, 1256, 938, 12084, 269, 1809, 1018, 952, 649, 1223, 1265, 1776, 1259, 547, 2285, 930, 540, 602, 24906, 5068, 513, 2034, 1272, 1247, 849, 5355, 835, 540, 938, 1034, 1898, 5989, 1949, 1765, 30030, 256, 2334, 781, 4010, 1018, 3173, 543, 4070, 3549, 723, 1044, 2324, 593, 1927, 269, 2913, 781, 4685, 883, 875, 789, 2811, 1210, 13381, 5068, 547, 1628, 1732, 9897, 2439, 763, 9046, 281, 28544, 10003, 1811, 454, 5978, 2197, 12346, 8185, 593, 6517, 267, 18114, 267, 543, 21772, 547, 3560, 5370, 543, 1004, 1169, 1554, 269, 2060, 865, 1454, 5957, 543, 15237, 267, 9897, 991, 2834, 5826, 543, 18203, 269, 3683, 942, 267, 18015, 666, 2408, 1813, 547, 4365, 2175, 899, 4764, 267, 6777, 267, 543, 3665, 5210, 269, 1452, 1507, 2152, 5555, 1291, 547, 8273, 2042, 971, 607, 533, 1054, 3421, 543, 4155, 14286, 269, 1677, 2061, 891, 8374, 267, 8030, 1590, 1020, 6793, 2326, 602, 2063, 3476, 543, 1685, 1134, 896, 1585, 2175, 780, 11767, 519, 8827, 281, 1234, 7094, 539, 21311, 454, 288, 2319, 540, 3744, 543, 8030, 1185, 606, 2856, 910, 1946, 711, 2119, 6220, 13381, 15229, 883, 28372, 23399, 1031, 585, 2679, 9897, 286, 901, 5499, 1523, 10905, 1079, 1455, 3653, 2472, 630, 27415, 543, 2025, 28372, 264, 883, 1945, 3730, 543, 1279, 18835, 269, 1635, 4946, 27054, 4765, 5068, 5536, 547, 519, 3905, 5277, 28372, 267, 789, 1711, 513, 18674, 1570, 602, 568, 811, 11259, 547, 25305, 543, 3441, 3361, 676, 10792, 4365, 2175, 780, 1692, 6496, 898, 4518, 888, 2414, 1174, 875, 13381, 5068, 2337, 2087, 28372, 267, 1577, 781, 1101, 1413, 693, 875, 2757, 28372, 1568, 269, 8617, 28372, 5161, 5631, 540, 4224, 4773, 4371, 1927, 676, 513, 20202, 6219, 1572, 3787, 18210, 630, 320, 1826, 540, 3282, 1040, 1879, 6472, 5397, 936, 519, 4155, 2627, 267, 2604, 3123, 6263, 23761, 1063, 519, 7725, 1141, 1216, 666, 694, 788, 538, 1282, 4764, 28323, 269, 1403, 2451, 796, 5417, 5962, 267, 713, 7509, 4617, 839, 519, 6125, 1063, 519, 7725, 543, 5012, 547, 25305, 543, 824, 3029, 540, 21324, 780, 3086, 4952, 4946, 27054, 4765, 5068, 5536, 547, 713, 3575, 269, 3502, 1152, 798, 789, 1491, 909, 2230, 1369, 1346, 6263, 10616, 1063, 519, 7725, 267, 855, 789, 849, 12927, 519, 2949, 2497, 540, 519, 28372, 7848, 950, 12699, 543, 6404, 5265, 269, 901, 3773, 4222, 2306, 519, 3803, 1587, 811, 14463, 1996, 1312, 3232, 6174, 6165, 543, 4049, 4365, 2621, 780, 18600, 28131, 13281, 454, 1103, 2487, 1296, 267, 6887, 2066, 519, 2136, 2276, 723, 13175, 4152, 713, 9621, 1007, 1570, 593, 4890, 9897, 269, 1280, 1383, 267, 2059, 513, 12701, 540, 4993, 3557, 27953, 476, 4200, 267, 25255, 8719, 851, 540, 519, 4540, 4155, 3118, 609, 606, 8097, 28372, 7848, 5627, 476, 1015, 260, 13381, 5068, 676, 2597, 269, 2991, 11972, 5230, 14903, 6808, 543, 7920, 15420, 2429, 519, 5162, 4005, 267, 519, 13381, 5068, 28372, 5340, 24215, 1134, 2439, 6962, 912, 3528, 4466, 3860, 2081, 547, 1065, 17123, 3653, 2326, 899, 5068, 267, 649, 666, 948, 2149, 938, 1604, 1247, 8195, 7393, 2565, 5989, 3785, 899, 9897, 269, 5808, 6487, 1018, 824, 9670, 3096, 3744, 786, 3605, 585, 13381, 15229, 538, 519, 2104, 286, 5901, 707, 4064, 22019, 539, 585, 10124, 538, 6940, 1818, 24657, 2282, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21158, 5240, 1923, 4455, 476, 1839, 267, 476, 1708, 274, 454, 305, 2894, 302, 2443, 1306, 24615, 31879, 19775, 609, 13381, 5068, 814, 6707, 15068, 5230, 14903, 6808, 543, 519, 11626, 8933, 540, 519, 5162, 540, 476, 1708, 273, 268, 2537, 1310, 513, 3296, 540, 4993, 3557, 27953, 476, 4200, 27876, 538, 5130, 267, 8387, 9307, 13638, 563, 17606, 779, 513, 15266, 547, 519, 1007, 2029, 2223, 1767, 4432, 773, 670, 1690, 329, 267, 7548, 540, 3540, 543, 2825, 4702, 693, 519, 2160, 540, 21600, 267, 11412, 334, 543, 12314, 8689, 540, 741, 8111, 335, 1511, 4741, 269, 968, 2171, 616, 10647, 3573, 2773, 543, 2825, 4152, 547, 1205, 547, 713, 28372, 7848, 3034, 4407, 519, 1382, 593, 519, 946, 540, 13381, 5068, 538, 519, 2978, 568, 11173, 267, 21081, 924, 14716, 267, 799, 24574, 1229, 609, 519, 2160, 779, 5375, 13636, 8111, 335, 1511, 4741, 267, 14059, 2836, 10520, 593, 4152, 519, 1007, 7848, 540, 28372, 538, 519, 1483, 1158, 563, 14071, 1705, 606, 6772, 599, 585, 513, 2836, 10520, 1788, 593, 23681, 476, 4200, 267, 13868, 741, 6671, 3575, 609, 476, 1015, 260, 5068, 676, 2597, 540, 519, 536, 5407, 2223, 3798, 326, 731, 670, 8636, 328, 267, 3084, 28372, 9614, 585, 21081, 924, 1230, 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, 27321, 21887, 281, 4498, 1145, 532, 519, 5295, 540, 10965, 8985, 539, 547, 8073, 3493, 628, 543, 17435, 3290, 692, 1103, 1148, 543, 10344, 267, 5888, 531, 2553, 616, 2629, 538, 13057, 13588, 262, 4064, 543, 859, 3183, 1808, 4664, 269, 2290, 971, 4480, 568, 11626, 5133, 267, 799, 5932, 3178, 543, 3845, 676, 22392, 4778, 267, 18565, 267, 543, 24716, 269, 901, 3184, 786, 5490, 883, 519, 1523, 540, 11626, 5133, 267, 922, 3156, 538, 3308, 6575, 267, 543, 6542, 875, 10965, 8985, 539, 267, 513, 3532, 8666, 11049, 3498, 267, 666, 581, 10244, 539, 547, 3927, 2308, 713, 4480, 780, 4263, 4380, 8879, 21887, 4347, 1441, 692, 4263, 4380, 8879, 5133, 267, 849, 1634, 607, 19666, 5133, 267, 4016, 547, 519, 16795, 6175, 538, 25294, 267, 1871, 267, 543, 6985, 320, 29932, 8515, 540, 2681, 24568, 3615, 607, 789, 973, 27827, 689, 2070, 269, 20551, 723, 1279, 6964, 713, 1505, 547, 6655, 8901, 3178, 543, 1614, 1673, 574, 3290, 1275, 538, 1079, 8820, 1568, 269, 1635, 5705, 569, 19249, 24698, 267, 2418, 267, 543, 3877, 267, 5159, 1711, 606, 21903, 602, 11397, 3615, 2408, 1447, 3982, 982, 1346, 6251, 547, 519, 21951, 269, 634, 1198, 568, 24188, 540, 938, 4948, 8226, 282, 2011, 5533, 267, 7509, 267, 543, 7452, 5536, 14649, 1769, 267, 4227, 4334, 543, 4929, 4778, 547, 28201, 607, 9883, 2333, 780, 9209, 2065, 10241, 540, 27321, 21887, 692, 763, 946, 540, 11626, 5133, 814, 1044, 11342, 2429, 1686, 538, 10367, 267, 12400, 267, 543, 16493, 269, 28167, 13005, 30058, 781, 834, 8310, 2672, 3899, 2437, 585, 3236, 267, 9727, 11626, 5133, 3842, 11029, 10593, 538, 2681, 2837, 543, 4334, 1063, 32215, 5515, 543, 4282, 6189, 269, 6684, 267, 808, 8160, 15030, 269, 25306, 781, 5251, 10367, 8415, 27290, 7648, 538, 2681, 543, 1871, 547, 6813, 5318, 20073, 525, 540, 2244, 543, 4262, 695, 709, 4765, 538, 5134, 344, 1654, 2812, 269, 769, 4207, 10344, 267, 11626, 5133, 3788, 4143, 607, 21706, 11441, 547, 7001, 18198, 8916, 543, 2749, 2675, 16747, 269, 3414, 6297, 2022, 3491, 22422, 1210, 3301, 899, 10965, 8985, 539, 267, 2413, 3239, 15670, 900, 3634, 2757, 7499, 2409, 1247, 8508, 1007, 4066, 780, 27409, 8985, 539, 13088, 585, 19793, 1324, 27321, 21887, 692, 27409, 8985, 539, 3091, 3875, 11049, 2645, 602, 7520, 519, 5137, 540, 11626, 5133, 269, 7324, 891, 616, 4598, 267, 2681, 267, 8325, 1145, 267, 543, 16496, 16369, 8060, 269, 29923, 891, 3252, 2636, 5159, 547, 4739, 9159, 2592, 602, 2721, 13588, 538, 543, 4497, 873 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9022, 564, 1143, 4564, 513, 2629, 3184, 538, 519, 6264, 2239, 540, 2441, 1670, 8086, 269, 6736, 1373, 7361, 15739, 323, 1243, 267, 922, 20807, 532, 4715, 518, 5713, 607, 513, 12576, 540, 10770, 2591, 5185, 950, 12394, 547, 24808, 519, 19433, 673, 9769, 540, 2820, 6541, 543, 8103, 538, 2441, 269, 1635, 2502, 7184, 609, 9022, 564, 1143, 267, 649, 3986, 938, 7071, 585, 519, 7096, 3178, 543, 6988, 11251, 1369, 519, 9015, 540, 2441, 1108, 267, 6038, 5807, 513, 21950, 8223, 540, 519, 2290, 7247, 10271, 21334, 607, 7083, 543, 14205, 1640, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13731, 1108, 568, 513, 1360, 3844, 6161, 585, 782, 1004, 5461, 538, 519, 1353, 540, 519, 12287, 543, 4518, 540, 4906, 2441, 269, 5345, 1211, 569, 267, 4906, 814, 513, 2603, 811, 547, 2161, 543, 798, 950, 649, 1413, 693, 782, 519, 30162, 540, 2441, 1670, 10643, 585, 9042, 891, 2395, 269, 1934, 616, 827, 476, 1428, 2835, 602, 594, 1589, 786, 581, 5363, 538, 707, 1620, 540, 519, 1888, 269, 1358, 616, 711, 538, 513, 1808, 1931, 610, 13283, 269, 1809, 594, 3180, 789, 1522, 2285, 596, 513, 4195, 5133, 593, 713, 1888, 563, 13731, 1108, 281, 589, 19978, 267, 8466, 267, 543, 3590, 1738, 5530, 540, 4906, 676, 717, 14283, 744, 685, 31890, 563, 1607, 1433, 9691, 12116, 519, 1655, 13400, 543, 3140, 14172, 1354, 21365, 2212, 6823, 930, 540, 519, 1883, 2055, 540, 9836, 2441, 1108, 281, 1281, 31249, 5132, 1459, 4906, 519, 812, 607, 28119, 543, 1244, 5966, 1242, 286, 1772, 1010, 5609, 16531, 15095, 609, 519, 3635, 540, 513, 1863, 1480, 786, 286, 6496, 909, 3562, 15082, 608, 1122, 8412, 4161, 1010, 2205, 326, 1400, 17748, 543, 2123, 24446, 286, 2052, 835, 31363, 4906, 685, 1909, 607, 513, 8471, 14205, 21831, 609, 519, 5168, 543, 2418, 547, 581, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 665, 564, 1143, 257, 607, 851, 540, 834, 32628, 1315, 4168, 28613, 1315, 2441, 1108, 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, 1012, 22718, 15050, 1744, 22284, 281, 589, 5124, 20861, 692, 1103, 713, 5850, 267, 649, 786, 581, 3695, 513, 5124, 7097, 602, 23607, 513, 1305, 540, 1239, 5627, 519, 3207, 3270, 540, 513, 1895, 540, 22651, 269, 3776, 3804, 568, 547, 3313, 799, 9856, 568, 1034, 4749, 18069, 543, 799, 9856, 568, 1034, 4749, 18069, 693, 519, 1482, 8792, 780, 6524, 649, 4685, 883, 519, 3009, 267, 1577, 781, 1101, 1174, 519, 1239, 649, 786, 581, 2324, 609, 269, 634, 1239, 568, 3177, 538, 513, 1257, 3758, 267, 609, 1142, 1899, 8204, 606, 2680, 602, 7018, 1282, 513, 9856, 781, 6521, 269, 634, 2621, 616, 6592, 538, 26567, 1931, 543, 616, 540, 519, 1739, 3898, 912, 8199, 314, 10817, 731, 1948, 316, 5956, 6521, 454, 314, 10817, 731, 1948, 316, 8813, 18069, 454, 314, 10817, 731, 1948, 316, 530, 1389, 909, 454, 8199, 5978, 4305, 568, 547, 1612, 572, 713, 1239, 543, 1349, 3730, 1344, 827, 519, 22651, 262, 3207, 3270, 780, 2162, 29807, 532, 519, 4578, 692, 763, 1101, 1900, 538, 938, 2079, 568, 547, 1612, 572, 519, 1239, 689, 519, 1257, 3758, 269, 1284, 786, 581, 1210, 519, 3710, 2987, 2387, 13449, 13237, 1599, 547, 1224, 519, 9115, 540, 519, 3758, 267, 543, 519, 2387, 1348, 6050, 13237, 1505, 547, 8237, 519, 9115, 883, 1367, 3515, 563, 3499, 7090, 454, 5976, 1930, 2891, 275, 17902, 8442, 607, 535, 912, 825, 3515, 815, 535, 18667, 6050, 4590, 8199, 2162, 6987, 24219, 31999, 6176, 692, 9202, 267, 649, 991, 547, 1349, 519, 4143, 1344, 689, 1142, 1899, 540, 519, 1239, 269, 1284, 786, 581, 1210, 513, 4999, 540, 5569, 12879, 543, 19585, 6898, 547, 9585, 713, 780, 5575, 267, 649, 786, 3355, 1125, 513, 8675, 547, 4558, 519, 3207, 3270, 540, 1142, 9856, 269, 634, 10569, 540, 519, 8675, 786, 581, 519, 9856, 9517, 338, 267, 543, 519, 2418, 786, 581, 513, 1592, 540, 8792, 11996, 1282, 799, 519, 9856, 729, 18069, 563, 3499, 7090, 454, 7666, 1841, 815, 31460, 8199, 2171, 786, 1287, 621, 4733, 936, 1142, 1899, 540, 519, 1239, 543, 1349, 519, 4143, 1344, 269, 1403, 519, 1899, 6920, 602, 513, 9856, 568, 4098, 741, 6521, 267, 649, 786, 1711, 513, 1007, 7127, 538, 519, 8675, 585, 602, 9856, 269, 1403, 519, 1899, 6920, 602, 513, 9856, 568, 9991, 18069, 610, 24971, 909, 267, 649, 786, 9337, 519, 7222, 7127, 538, 519, 8675, 563, 3499, 7090, 454, 9690, 318, 31384, 815, 7183, 454, 9690, 318, 5271, 757, 815, 29129, 1721, 1899, 538, 3515, 912, 825, 1543, 815, 1899, 14714, 8692, 4590, 825, 8792, 815, 703, 263, 20880, 15631, 276, 18737, 274, 20285, 825, 952, 834, 321, 1122, 1231, 257, 538, 1543, 912, 1038, 1699, 318, 31384, 815, 703, 263, 20880, 21858, 2891, 834, 25011, 272, 6012, 272, 281, 7481, 1038, 952, 1699, 318, 31384, 711, 538, 22651, 912, 2018, 22651, 314, 9690, 318, 31384, 316, 815, 1496, 271, 316, 2608, 476, 2568, 454, 825, 8640, 834, 17517, 257, 538, 1543, 610, 834, 342, 1389, 257, 538, 1543, 912, 1038, 1699, 318, 5271, 757, 6910, 263, 2381, 1393, 994, 1038, 952, 7003, 263, 9690, 318, 5271, 757, 264, 2652, 476, 273, 912, 2018, 585, 3207, 267, 25805, 538, 23407, 263, 9690, 318, 5271, 757, 11468, 281, 273, 3910, 1699, 318, 5271, 757, 314, 272, 15311, 273, 316, 2187, 3546, 22651, 314, 9690, 318, 31384, 6012, 338, 2748, 281, 1177, 820, 316, 6834, 476, 272, 454, 2018, 1699, 318, 5271, 757, 815, 11713, 8199, 2162, 22718, 519, 4578, 692, 3086, 602, 649, 723, 13939, 519, 4143, 1344, 689, 519, 1239, 267, 649, 666, 2253, 938, 2079, 269, 3776, 1101, 4305, 568, 547, 3313, 799, 9856, 568, 1034, 4749, 18069, 269, 1677, 798, 713, 267, 649, 786, 946, 519, 3710, 2987, 2387, 10946, 13237, 1599, 547, 1265, 519, 9856, 609, 519, 5207, 2698, 1297, 540, 3764, 18069, 563, 3499, 7090, 454, 10946, 318, 31384, 16182, 267, 9856, 318, 2675, 7359, 815, 3193, 263, 7666, 1841, 29096, 19572, 1883, 284, 14433, 737, 341, 281, 737, 341, 314, 272, 4940, 8999, 15405, 4820, 272, 815, 3193, 318, 31384, 16182, 2608, 9856, 318, 2675, 7359, 27769, 10946, 4590, 8199, 5978, 2034, 4305, 568, 547, 3313, 799, 9856, 568, 1034, 4749, 18069, 693, 519, 1482, 8792, 269, 1677, 798, 713, 267, 649, 786, 1101, 1265, 519, 5021, 1297, 540, 3764, 602, 1022, 9856, 729, 18069, 693, 519, 1482, 8792, 269, 1284, 786, 1287, 946, 513, 4999, 540, 519, 3710, 2987, 2387, 10946, 13237, 543, 2387, 10113, 13237, 3252, 547, 1265, 519, 9856, 543, 8792, 609, 519, 5207, 1297, 540, 20825, 563, 3499, 7090, 454, 10946, 28804, 2373, 318, 553, 2748, 815, 3193, 263, 2381, 2373, 27982, 3890, 585, 9856, 16182, 267, 3764, 538, 22651, 29096, 15405, 10946, 318, 31384, 16182, 267, 8792, 318, 553, 2748, 815, 1985, 18692, 825, 630, 31384, 16182, 267, 3764, 27769, 10946, 15405, 825, 585, 9856, 16182, 267, 3764, 538, 22651, 29096, 4590, 825, 952, 3764, 27982, 3890, 2652, 3193, 28804, 2373, 318, 553, 2748, 454, 994, 4820, 273, 815, 3193, 318, 31384, 16182, 2608, 8792, 318, 553, 2748, 454, 8199, 2162, 32027, 898, 2353, 8625, 692, 7661, 267, 649, 786, 2322, 782, 540, 519, 4773, 1927, 543, 1711, 513, 1599, 602, 3217, 538, 519, 1239, 543, 7024, 519, 4267, 547, 938, 1079, 4247, 563, 3499, 7090, 454, 3698, 5173, 263, 6050, 2187, 825, 22651, 815, 31460, 825, 1699, 318, 31384, 815, 7183, 454, 825, 1699, 318, 5271, 757, 815, 29129, 825, 585, 1899, 538, 3515, 912, 1038, 1543, 815, 1899, 14714, 8692, 4590, 1038, 8792, 815, 703, 263, 20880, 15631, 276, 18737, 274, 20285, 1038, 952, 834, 321, 1122, 1231, 257, 538, 1543, 912, 2018, 1699, 318, 31384, 815, 703, 263, 20880, 21858, 2891, 834, 25011, 272, 6012, 272, 281, 7481, 2018, 952, 1699, 318, 31384, 711, 538, 22651, 912, 3546, 22651, 314, 9690, 318, 31384, 316, 815, 1496, 271, 316, 2608, 476, 2568, 454, 1038, 8640, 834, 17517, 257, 538, 1543, 610, 834, 342, 1389, 257, 538, 1543, 912, 2018, 1699, 318, 5271, 757, 6910, 263, 2381, 1393, 994, 2018, 952, 7003, 263, 9690, 318, 5271, 757, 264, 2652, 476, 273, 912, 3546, 585, 3207, 267, 25805, 538, 23407, 263, 9690, 318, 5271, 757, 11468, 281, 273, 3910, 1699, 318, 5271, 757, 314, 272, 15311, 273, 316, 2187, 7386, 22651, 314, 9690, 318, 31384, 6012, 338, 2748, 281, 1177, 820, 316, 6834, 476, 272, 454, 3546, 1699, 318, 5271, 757, 815, 29129, 825, 3193, 318, 31384, 16182, 267, 9856, 318, 2675, 7359, 815, 3193, 263, 7666, 1841, 29096, 19572, 1883, 284, 14433, 737, 341, 281, 737, 341, 314, 272, 4940, 8999, 15405, 825, 851, 272, 815, 3193, 318, 31384, 16182, 2608, 9856, 318, 2675, 7359, 27769, 10946, 10797, 825, 3193, 28804, 2373, 318, 553, 2748, 815, 3193, 263, 2381, 2373, 27982, 3890, 585, 9856, 16182, 267, 3764, 538, 22651, 29096, 15405, 825, 3193, 318, 31384, 16182, 267, 8792, 318, 553, 2748, 815, 1985, 18692, 1038, 630, 31384, 16182, 267, 3764, 27769, 10946, 15405, 1038, 585, 9856, 16182, 267, 3764, 538, 22651, 29096, 4590, 1038, 952, 3764, 27982, 3890, 2652, 3193, 28804, 2373, 318, 553, 2748, 454, 825, 12467, 825, 851, 273, 815, 3193, 318, 31384, 16182, 2608, 8792, 318, 553, 2748, 692, 825, 2132, 851, 272, 267, 851, 273, 454, 8199, 2171, 666, 1287, 1289, 713, 1599, 609, 519, 1239, 543, 1820, 519, 2164, 563, 3499, 7090, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 609, 1930, 2891, 275, 17902, 8442, 607, 535, 912, 1038, 3515, 815, 535, 18667, 6050, 10797, 825, 851, 272, 267, 851, 273, 815, 5173, 263, 6050, 994, 825, 1820, 2891, 8512, 476, 272, 281, 15079, 2668, 8971, 263, 4820, 272, 4917, 825, 1820, 2891, 8512, 476, 273, 281, 15079, 2668, 8971, 263, 4820, 273, 4917, 8199, 2162, 10390, 692, 1103, 713, 5850, 267, 649, 723, 8268, 513, 5124, 7097, 602, 23607, 519, 3207, 3270, 540, 513, 1895, 540, 22651, 269, 1284, 723, 4121, 875, 547, 1612, 572, 1239, 689, 513, 1257, 3758, 267, 1349, 4143, 1344, 267, 543, 1685, 2079, 547, 3313, 799, 9856, 568, 1034, 4749, 18069, 543, 799, 9856, 568, 1034, 4749, 18069, 693, 519, 1482, 8792, 780, 9961, 713, 5850, 267, 649, 723, 15091, 519, 2956, 540, 7744, 543, 5690, 545, 1983, 269, 1635, 8840, 1524, 1950, 2042, 883, 4130, 267, 811, 19242, 4773, 267, 649, 666, 811, 3362, 1174, 543, 4194, 873, 269, 3958, 267, 676, 1210, 3710, 2987, 5124, 3252, 543, 1239, 3889, 267, 649, 666, 2328, 811, 3608, 543, 28505, 3009, 780, 2171, 4126, 602, 713, 5850, 814, 1044, 5363, 538, 5355, 707, 5124, 1983, 543, 1620, 540, 1239, 2079, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 263, 2568, 994, 3546, 585, 3207, 267, 25805, 538, 23407, 263, 9690, 318, 5271, 757, 11468, 281, 273, 3910, 1699, 318, 5271, 757, 314, 272, 15311, 273, 316, 2187, 7386, 22651, 314, 9690, 318, 31384, 6012, 338, 2748, 281, 1177, 820, 316, 6834, 476, 272, 454, 2018, 1699, 318, 31384, 815, 703, 263, 20880, 21858, 2891, 834, 25011, 272, 6012, 272, 281, 7481, 2018, 1699, 318, 5271, 757, 815, 11713, 1038, 8640, 834, 17517, 257, 538, 1543, 610, 834, 342, 1389, 257, 538, 1543, 912, 2018, 1699, 318, 5271, 757, 6910, 263, 2381, 1393, 2020, 825, 3193, 318, 31384, 16182, 267, 9856, 318, 2675, 7359, 815, 3193, 263, 7666, 1841, 29096, 19572, 1883, 284, 14433, 737, 341, 281, 737, 341, 314, 272, 4940, 8999, 15405, 825, 851, 272, 815, 3193, 318, 31384, 16182, 2608, 9856, 318, 2675, 7359, 27769, 10946, 10797, 825, 3193, 28804, 2373, 318, 553, 2748, 815, 3193, 263, 2381, 2373, 27982, 3890, 585, 9856, 16182, 267, 3764, 538, 22651, 29096, 15405, 825, 3193, 318, 31384, 16182, 267, 8792 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15383, 345, 4840, 5320, 23810, 815, 29129, 10113, 318, 3336, 815, 6345, 26098, 318, 3336, 263, 12252, 994, 2018, 6345, 6230, 913, 263, 10113, 318, 3336, 994, 3698, 4098, 10031, 825, 1820, 2891, 15916, 26761, 14826, 15419, 825, 1247, 6936, 912, 1038, 2012, 815, 3403, 2891, 8923, 4283, 2659, 2012, 14826, 20257, 29328, 10797, 1038, 952, 2012, 2652, 1412, 12466, 2018, 1820, 2891, 2791, 666, 1405, 798, 602, 256, 3143, 10145, 3515, 5602, 1038, 3116, 912, 2018, 2736, 7531, 8218, 940, 30800, 3698, 1007, 325, 15635, 10031, 825, 1820, 2891, 11039, 267, 602, 781, 3501, 4090, 547, 1404, 930, 670, 836, 2006, 256, 315, 333, 15419, 825, 1247, 6936, 912, 1038, 3014, 577, 4069, 815, 3403, 2891, 25898, 1411, 899, 547, 1404, 286, 315, 333, 20257, 21639, 10797, 1038, 952, 3014, 577, 4069, 2652, 834, 312, 2464, 257, 610, 3014, 577, 4069, 2652, 834, 312, 13426, 2018, 2736, 454, 1038, 8640, 3014, 577, 4069, 2652, 834, 17472, 257, 610, 3014, 577, 4069, 2652, 834, 301, 13426, 2018, 19523, 20216, 527, 2891, 6546, 781, 513, 17847, 256, 5620, 513, 8799, 1554, 5602, 1038, 3116, 912, 2018, 1820, 2891, 12585, 609, 1152, 476, 8786, 610, 3143, 5602, 1038, 3136, 7531, 3698, 1689, 10031, 825, 585, 1915, 538, 6456, 17504, 281, 476, 1948, 8228, 1025, 3471, 585, 1142, 4484, 538, 5728, 2262, 454, 1038, 7058, 29999, 6910, 2891, 268, 5602, 825, 1820, 2891, 302, 330, 267, 865, 519, 2262, 1411, 991, 547, 7058, 814, 2580, 3259, 29999, 267, 834, 10420, 3030, 257, 9239, 2745, 2891, 6826, 3222, 602, 1411, 666, 4283, 1152, 476, 272, 4484, 689, 513, 22271, 14826, 14826, 5602, 2745, 263, 29674, 29999, 9239, 3698, 27378, 10031, 825, 7058, 4671, 2586, 815, 476, 272, 454, 825, 1247, 7058, 4671, 2586, 2999, 476, 1015, 912, 1038, 7058, 815, 3403, 2891, 303, 1157, 513, 4484, 14826, 20257, 12294, 4590, 1038, 952, 711, 7058, 538, 9904, 912, 2018, 1820, 2891, 11767, 513, 4484, 689, 513, 22271, 9904, 5602, 1038, 8640, 7058, 538, 2262, 23810, 912, 2018, 1820, 2891, 2791, 723, 2907, 31665, 602, 4484, 32405, 1038, 3116, 1384, 2018, 2262, 23810, 6910, 263, 29674, 994, 2018, 952, 7058, 538, 6456, 17504, 912, 3546, 1820, 2891, 2791, 20944, 621, 32405, 3546, 585, 1535, 538, 2039, 263, 271, 267, 3259, 29999, 2187, 7386, 952, 6456, 17504, 20572, 316, 2652, 7058, 912, 13376, 7058, 29999, 20572, 316, 815, 7058, 454, 13376, 1820, 263, 29674, 29999, 2020, 3546, 952, 711, 25023, 538, 7058, 29999, 912, 7386, 1820, 2891, 2791, 4465, 32405, 7386, 2736, 454, 2018, 3116, 912, 3546, 1820, 2891, 763, 4484, 568, 711, 538, 519, 2262, 269, 8347, 11088, 32405, 3546, 7058, 4671, 2586, 6834, 476, 272, 454, 3546, 952, 7058, 4671, 2586, 2652, 476, 1015, 912, 7386, 1820, 2891, 590, 13446, 2494, 267, 1411, 4503, 910, 318, 268, 256, 634, 6456, 2262, 729, 2580, 1363, 6456, 17504, 9239, 4219, 4590, 29674, 532, 10797, 2745, 2891, 29228, 3683, 32405 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1261, 17388, 547, 798, 1082, 1919, 609, 1010, 1073, 333, 2135, 1190, 7245, 2469, 1996, 1864, 1169, 1554, 269, 14977, 2401, 1412, 338, 6469, 12602, 2059, 609, 1010, 6574, 1967, 729, 950, 646, 10692, 6837, 1308, 8942, 693, 721, 584, 335, 566, 547, 3715, 519, 30675, 602, 513, 21470, 5518, 3587, 513, 2407, 7022, 609, 782, 513, 7022, 779, 7060, 593, 519, 2669, 540, 519, 1651, 3518, 550, 5518, 269, 3571, 6574, 5821, 729, 1373, 513, 10553, 8227, 543, 7674, 538, 519, 20752, 2276, 6837, 1282, 519, 6406, 2782, 269, 14977, 2401, 1412, 338, 2101, 4914, 3609, 9740, 729, 519, 28732, 268, 2026, 327, 10767, 2023, 15521, 609, 4279, 6628, 563, 10527, 7022, 1412, 338, 1379, 568, 5433, 782, 936, 519, 1158, 1848, 3143, 4182, 568, 865, 6552, 689, 519, 772, 2529, 269, 602, 789, 666, 2057, 519, 29854, 540, 1977, 23372, 269, 634, 7022, 666, 6057, 741, 7060, 543, 621, 786, 1860, 519, 772, 2529, 607, 1134, 607, 824, 2477, 602, 12314, 609, 721, 269, 968, 763, 6101, 7060, 607, 7396, 538, 519, 9139, 2161, 2370, 827, 513, 2413, 7022, 1412, 338, 1483, 1379, 1848, 7073, 27504, 723, 1259, 811, 1379, 982, 729, 568, 7396, 538, 519, 11156, 267, 789, 798, 711, 723, 547, 1246, 519, 4808, 4625, 899, 2250, 27504, 1131, 723, 1185, 547, 269, 22252, 531, 7060, 616, 11292, 547, 519, 7022, 1631, 267, 538, 1931, 547, 968, 321, 21392, 519, 2197, 1848, 634, 7022, 568, 5827, 540, 9292, 1154, 824, 2477, 609, 1010, 7060, 543, 2413, 27504, 723, 513, 2603, 540, 7060, 602, 616, 711, 4481, 2016, 538, 519, 454, 7437, 519, 1062, 540, 11974, 543, 21356, 621, 2829, 968, 763, 9139, 14828, 6837, 519, 6852, 1379, 547, 17551, 2112, 269, 1809, 621, 849, 2306, 519, 7022, 19524, 538, 8783, 540, 519, 11439, 4229, 1848, 630, 10908, 817, 1040, 5221, 540, 713, 7939, 540, 1379, 519, 7022, 568, 8572, 547, 1118, 1022, 16420, 3664, 593, 1010, 1378, 1510, 519, 13170, 540, 6837, 799, 2488, 6264, 3106, 547, 519, 1004, 269, 1403, 519, 10324, 7936, 941, 547, 2097, 547, 3664, 1510, 1373, 16913, 676, 519, 15424, 543, 16324, 7936, 519, 772, 2529, 269, 2229, 1131, 1599, 607, 513, 28983, 1222, 1141, 1100, 835, 814, 513, 2161, 538, 454, 4517, 4319, 12722, 729, 519, 1101, 865, 1572, 834, 15161, 1412, 338, 7022, 2668, 909, 2394, 1010, 7245, 2229, 729, 4742, 811, 13671, 538, 519, 3946, 540, 519, 18211, 7095, 4229, 540, 519, 2197, 269, 1261, 1500, 1082, 5079, 602, 1223, 581, 2808, 4636, 855, 646, 1500, 519, 3664, 1759, 593, 1010, 7287, 547, 1832, 1455, 4892, 538, 1852, 540, 519, 2229, 269, 1261, 15189, 547, 5710, 519, 2817, 7813, 1412, 338, 22497, 7551, 4259, 519, 2197, 779, 2804, 1646, 1394, 676, 1896, 5756, 269, 7726, 476, 274, 281, 10576, 693, 2547, 835, 6963, 3350, 12006, 538, 5149, 476, 274, 563, 6546, 781, 519, 5518, 649, 991, 543, 849, 513, 5518, 945, 666, 2285, 856, 21855, 547, 721, 269, 6145, 950, 972, 568, 513, 2462, 6595, 543, 18864, 6487, 621, 649, 5749, 1405, 1175, 2469, 547, 1796, 972, 543, 27642, 899, 4986, 3983, 568, 2469, 547, 4755, 269, 3776, 1985, 5518, 4024, 2285, 721, 21855, 1256, 952, 621, 781, 3735, 610, 2038, 610, 538, 519, 2063, 8792, 855, 646, 24172, 786, 2995, 721, 269, 1284, 849, 991, 513, 5518, 945, 649, 666, 1745, 2922, 1472, 602, 2965, 30128, 585, 721, 945, 9327, 1405, 3442, 2724, 936, 782, 540, 721, 269, 589, 5518, 945, 666, 1397, 721, 602, 649, 666, 2661, 538, 4708, 543, 711, 723, 547, 5855, 827, 968, 2129, 327, 646, 781, 22457, 892, 610, 968, 515, 1152, 30128, 827, 519, 2724, 543, 711, 721, 6100, 21156, 540, 602, 649, 991, 547, 2161, 968, 515, 11542, 909, 585, 721, 892, 610, 968, 515, 781, 513, 5518, 602, 9327, 1405, 1577, 721, 1524, 1256, 585, 2724, 9731, 4913, 267, 585, 519, 1034, 851, 1292, 3123, 540, 9505, 23957, 616, 3833, 7059, 1063, 513, 27504, 32222, 547, 1129, 513, 3915, 610, 1654, 1729, 532, 513, 3915, 543, 18322, 17528, 547, 29343, 513, 6578, 547, 15974, 547, 519, 7022, 547, 1129, 630, 16524, 2917, 1040, 15439, 513, 2229, 9505, 6658, 568, 513, 1267, 1317, 281, 634, 772, 2529, 269, 9139, 3340, 454, 5629, 519, 1101, 7813, 540, 519, 2136, 2276, 729, 2813, 676, 6837, 538, 476, 9692, 272, 267, 621, 8118, 909, 6006, 3681, 585, 1857, 12349, 269, 634, 1007, 2229, 849, 1185, 3362, 7771, 519, 7662, 585, 19307, 1282, 4655, 540, 2112, 547, 2061, 521, 4575, 609, 835, 2197, 936, 519, 824, 269, 901, 729, 6707, 2944, 7466, 1282, 5518, 6115, 779, 1079, 2474, 269, 1306, 1454, 607, 21528, 519, 3943, 1282, 1776, 2112, 609, 519, 3703, 1131, 948, 2628, 1394, 741, 7963, 547, 519, 3943, 282, 621, 729, 519, 8797, 3375, 547, 31635, 7771, 547, 2057, 1022, 2104, 2152, 609, 519, 1975, 8643, 1841, 269, 15788, 267, 519, 1007, 1977, 2229, 4682, 998, 1082, 11775, 1603, 543, 4259, 4031, 543, 993, 2056, 2025, 3283, 547, 3136, 547, 1628, 513, 2178, 4346, 607, 513, 454, 24730, 6115, 267, 1373, 519, 1101, 7022, 267, 5433, 602, 538, 1931, 547, 2226, 2497, 538, 519, 2229, 1310, 646, 729, 1100, 3476, 538, 5279, 267, 1185, 547, 4734, 513, 4484, 547, 1010, 2197, 779, 4961, 269, 6115, 3459, 1010, 2232, 676, 4758, 7064, 543, 7071, 547, 3025, 585, 4758, 1864, 519, 4316, 547, 1291, 741, 2197, 543, 7713, 1010, 7744, 585, 19394, 1776, 2165, 269, 13966, 609, 891, 4128, 267, 646, 11329, 856, 930, 540, 519, 20924, 540, 1010, 24164, 267, 16153, 1154, 547, 519, 1857, 602, 646, 729, 711, 513, 3501, 1977, 6205, 543, 602, 646, 568, 711, 513, 23296, 4290, 883, 799, 782, 824, 27504, 1058, 581, 20077, 856, 540, 269, 2755, 646, 7150, 602, 646, 729, 711, 30664, 764, 762, 267, 6115, 1705, 3136, 593, 538, 1010, 2232, 547, 2709, 930, 5796, 547, 519, 2104, 540, 3013, 269, 6115, 454, 1892, 589, 7022, 2877, 547, 581, 11221, 3040, 3509, 4892, 2219, 602, 519, 2229, 729, 519, 1292, 3463, 547, 741, 2924, 3040, 6276, 23885, 5206, 602, 519, 2229, 1185, 547, 581, 3532, 2614, 547, 2149, 1004, 779, 2924, 267, 855, 711, 865, 2178, 602, 621, 1223, 1852, 2924, 540, 1004, 3040, 1635, 2904, 476, 1839, 628, 267, 519, 15007, 729, 13166, 25093, 3040, 6723, 6115, 729, 1360, 25343, 676, 1034, 4892, 3040, 1546, 5586, 919, 4956, 593, 519, 3652, 585, 519, 1985, 15007, 454, 2005, 16461, 1080, 5449, 5313, 5520, 547, 2132, 607, 25211, 1235, 543, 29801, 269, 2060, 8387, 18343, 538, 543, 856, 540, 519, 1857, 543, 4357, 6810, 540, 2486, 267, 865, 1281, 1379, 267, 1978, 22864, 267, 543, 2724, 269, 901, 2360, 519, 21146, 1184, 676, 4657, 519, 1259, 1004, 1589, 269, 5502, 540, 3206, 543, 9117, 2509, 519, 2115, 540, 519, 1004, 267, 789, 1445, 593, 519, 2115, 540, 741, 1985, 16108, 543, 23304, 731, 519, 1964, 269, 634, 1977, 18489, 3175, 16510, 7027, 630, 3201, 4488, 264, 1796, 2427, 676, 2427, 538, 1931, 547, 1711, 2203, 12014, 585, 1977, 1272, 543, 960, 9875, 547, 1205, 873, 5293, 563, 763, 14753, 568, 15284, 5548, 8457, 17619, 630, 293, 11403, 264, 1373, 547, 4279, 12870, 540, 519, 476, 3953, 526, 7022, 2094, 11180, 538, 513, 2136, 2276, 1331, 568, 4892, 269, 1261, 568, 513, 3094, 1945, 585, 4182, 4633, 1376, 693, 519, 14891, 2817, 13482, 538, 15740, 689, 12425, 585, 10540, 1756, 946, 547, 1967, 786, 2285, 827, 2797, 585, 1004, 616, 1489, 568, 14775, 1373, 2161, 1945, 269, 898, 1412, 338, 513, 1004, 1616, 547, 1489, 873, 1831, 513, 7022, 585, 674, 11403, 786, 1491, 513, 1544, 568, 513, 556, 3887, 3005, 2253, 593, 476, 4350, 277, 547, 1379, 540, 519, 2229, 538, 513, 5428, 616, 11180, 269, 1280, 17619, 568, 513, 1007, 4308, 946, 9550, 538, 2797, 543, 2804, 5191, 3478, 27504, 538, 4873, 568, 476, 2767, 628, 729, 593, 519, 476, 736, 628, 2540, 269, 5221, 646, 7959, 811, 2442, 1034, 540, 519, 1007, 4308, 568, 519, 2229, 585, 0, 288, 1126, 16137, 827, 2724, 538, 1896, 2081, 267, 1519, 1018, 789, 1294, 610, 5873, 1472, 519, 2777, 689, 1995, 543, 2937, 5583, 269, 14268, 666, 946, 1585, 4001, 762, 8090, 971, 10918, 693, 513, 4558, 610, 2228, 267, 1818, 513, 2101, 6718, 267, 8391, 2724, 607, 513, 10516, 267, 9683, 513, 2883, 9872, 543, 4058, 513, 1920, 16314, 269, 3371, 616, 930, 1114, 2081, 1453, 4309, 2724, 689, 741, 3237, 912, 2704, 869, 1734, 281, 2290, 540, 519, 1655, 2081, 547, 4001, 1453, 568, 998, 1697, 27108, 2359, 269, 9796, 532, 1453, 585, 960, 789, 798, 543, 2348, 873, 6108, 741, 1378, 2724, 950, 789, 1616, 547, 1118, 16306, 269, 3962, 6718, 543, 27108, 2628, 1485, 666, 581, 513, 1390, 942, 547, 4001, 3214, 827, 2724, 563, 291, 1961, 1062, 281, 14268, 723, 1852, 936, 7836, 855, 3214, 3006, 1589, 519, 2724, 3761, 568, 11995, 563, 292, 7568, 902, 281, 1855, 2851, 602, 2724, 2501, 689, 960, 543, 11414, 5539, 543, 2883, 7115, 269, 1717, 267, 621, 3085, 1406, 1611, 3214, 666, 4383, 519, 2724, 789, 7118, 563, 307, 1779, 547, 707, 1453, 827, 2724, 269, 1306, 3237, 267, 952, 596, 10210, 2724, 267, 596, 723, 547, 2628, 621, 1394, 269, 634, 1482, 3364, 1058, 4019, 547, 1453, 269, 1411, 1058, 948, 873, 6430, 952, 519, 2724, 789, 616, 24228, 568, 585, 513, 1616, 610, 513, 991, 269, 898, 3085, 1406, 10413, 585, 873, 547, 1451, 602, 789, 666, 4688, 585, 519, 6718, 543, 621, 949, 1118, 519, 6718, 811, 14785, 269, 2142, 2386, 547, 2769, 707, 7287, 585, 1919, 596, 666, 1406, 6488, 269, 901, 2982, 1453, 602, 3237, 3006, 723, 547, 2161, 968, 7224, 892, 547, 2933, 269, 0, 288, 11641, 1852, 4274, 666, 581, 1572, 513, 11641, 1852, 11346, 269, 901, 568, 835, 2816, 602, 568, 2808, 513, 968, 4777, 621, 593, 707, 1378, 892, 960, 269, 11048, 267, 11641, 1852, 2367, 979, 883, 7817, 4036, 1878, 607, 1134, 607, 4213, 547, 1413, 585, 14148, 610, 12961, 269, 1358, 1287, 8415, 519, 1318, 1505, 547, 30817, 610, 9004, 519, 11641, 267, 2436, 713, 581, 513, 23561, 267, 6952, 267, 610, 1022, 824, 1935, 269, 1677, 1832, 606, 608, 3410, 1588, 4881, 12347, 267, 9301, 519, 1202, 543, 16080, 540, 17079, 1852, 568, 1271, 563, 5278, 2409, 6964, 676, 11641, 1852, 12665, 616, 1572, 968, 4944, 10105, 892, 2223, 20893, 3101, 892, 610, 968, 323, 787, 21399, 6100, 1452, 616, 20248, 3617, 24096, 540, 1018, 3217, 1747, 950, 6464, 610, 6464, 616, 1031, 269, 634, 3114, 786, 6157, 581, 22280, 610, 10936, 539, 1318, 883, 519, 6098, 4087, 1141, 519, 5521, 568, 23493, 269, 1306, 519, 5521, 8336, 610, 23561, 12599, 2429, 519, 13897, 267, 621, 11394, 856, 8726, 621, 14621, 796, 1506, 8162, 545, 607, 1134, 607, 12735, 4240, 269, 1879, 621, 1327, 919, 1018, 621, 14621, 607, 513, 1966, 267, 621, 786, 979, 1524, 519, 17079, 610, 5521, 8336, 593, 519, 1858, 609, 519, 23561, 610, 23561, 543, 4734, 513, 1390, 5134, 269, 901, 568, 5134, 899, 7623, 602, 568, 24037, 547, 12961, 269, 2843, 504, 20434, 7549, 4709, 3264, 16021, 11714, 397, 488, 4814, 17153, 7846, 476, 25000, 13194, 4138, 11714, 4814, 397, 488, 13194, 18547, 454, 5194, 1455, 2165, 8246, 547, 5581, 713, 5650, 568, 968, 1515, 532, 856, 6100, 1323, 12289, 666, 581, 8519, 676, 21177, 513, 17835, 610, 27829, 693, 519, 12936, 2127, 269, 634, 20893, 3101, 8665, 786, 3442, 10860, 607, 1134, 607, 12961, 602, 616, 3330, 8075, 610, 6306, 906, 269, 898, 19754, 873, 543, 21219, 741, 5798, 1354, 789, 24011, 269, 31849, 540, 1004, 798, 711, 1174, 602, 713, 23352, 1022, 1826, 540, 4540, 12961, 538, 519, 2777, 267, 1932, 563, 2252, 596, 1616, 547, 3247, 513, 2603, 540, 1072, 2152, 267, 1287, 621, 1131, 581, 5227, 547, 6529, 609, 1210, 6464, 269, 11048, 267, 952, 596, 1616, 547, 798, 2476, 609, 1896, 540, 519, 811, 8912, 12961, 602, 533, 6856, 4036, 1878, 267, 1310, 602, 596, 1522, 20053, 547, 3801, 930, 8925, 547, 2011, 532, 856, 1932, 269, 3509, 1004, 723, 2965, 6707, 1500, 946, 540, 2067, 14319, 547, 9004, 1896, 540, 835, 540, 519, 1034, 829, 5371, 1190, 7068, 538, 513, 2777, 269, 1358, 616, 4122, 1447, 14427, 543, 2922, 585, 519, 5790, 607, 1134, 563, 25219, 559, 1944, 13851, 547, 7759, 513, 15335, 540, 15495, 568, 711 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5278, 5061, 616, 1500, 689, 6211, 2472, 630, 6798, 860, 923, 264, 971, 607, 12489, 610, 5946, 269, 4437, 860, 923, 2097, 689, 782, 12204, 540, 2713, 1919, 267, 971, 607, 3662, 543, 2030, 2281, 543, 1256, 4551, 563, 307, 2858, 15120, 636, 629, 630, 15463, 1061, 514, 264, 543, 829, 14654, 345, 636, 629, 630, 8110, 329, 9508, 264, 616, 6089, 2860, 2126, 5061, 1500, 689, 1979, 860, 923, 630, 6518, 616, 1500, 689, 12489, 1040, 4033, 5061, 267, 971, 607, 10074, 543, 7378, 267, 616, 849, 1500, 689, 1979, 860, 923, 563, 288, 19777, 25630, 568, 513, 968, 10090, 545, 6438, 892, 4528, 540, 513, 3075, 602, 3568, 1979, 860, 923, 563, 289, 3930, 574, 559, 1513, 616, 513, 1114, 689, 13598, 5061, 1317, 789, 2270, 1979, 860, 923, 269, 589, 13598, 3075, 814, 519, 3169, 1482, 3742, 3114, 5820, 607, 519, 3312, 3075, 269, 898, 779, 711, 2009, 547, 1118, 606, 3169, 5299, 540, 513, 1979, 11043, 1317, 621, 779, 513, 2713, 3364, 269, 1717, 267, 513, 19777, 25630, 568, 3810, 2147, 547, 519, 3312, 1979, 11043, 3075, 543, 1568, 519, 1482, 1259, 538, 519, 1560, 563, 763, 2012, 540, 513, 19777, 25630, 2882, 519, 2012, 540, 519, 3312, 1979, 11043, 3075, 269, 1280, 1383, 267, 959, 770, 15120, 636, 629, 1673, 330, 560, 568, 513, 19777, 25630, 547, 519, 3075, 959, 770, 15120, 636, 629, 269, 3962, 19777, 25630, 849, 814, 513, 6216, 2012, 563, 2414, 581, 9516, 676, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 630, 293, 6395, 1070, 513, 19777, 25630, 1590, 960, 519, 1482, 1259, 607, 519, 3312, 3075, 543, 621, 1590, 723, 10778, 4263, 713, 942, 267, 519, 15111, 22190, 28508, 19777, 574, 559, 1513, 585, 6089, 2860, 2126, 616, 782, 19777, 574, 559, 1513, 547, 959, 770, 15120, 636, 629, 630, 15463, 1061, 514, 1916, 8448, 19777, 574, 559, 1513, 616, 896, 1353, 585, 519, 2126, 540, 6089, 2860, 563, 307, 2858, 15120, 636, 629, 630, 15463, 1061, 514, 264, 568, 513, 670, 2207, 273, 2389, 1173, 9643, 3075, 269, 898, 779, 1031, 547, 1521, 2038, 543, 22037, 1738, 670, 2207, 273, 25698, 6089, 11871, 563, 289, 3930, 574, 559, 1513, 547, 959, 770, 15120, 636, 629, 666, 849, 581, 1031, 547, 1521, 2038, 543, 22037, 1738, 670, 2207, 273, 25698, 6089, 11871, 269, 1358, 1331, 630, 514, 9904, 673, 1931, 2187, 5278, 5061, 1031, 547, 1521, 2427, 2360, 540, 18068, 543, 824, 6089, 2860, 5574, 616, 1500, 689, 1979, 860, 923, 269, 2368, 540, 891, 5061, 723, 19777, 574, 559, 1513, 563, 2690, 1383, 267, 930, 1004, 1205, 513, 3043, 1973, 1591, 2208, 3815, 3075, 547, 948, 2226, 741, 1973, 12523, 1282, 18068, 269, 1452, 5061, 616, 1572, 2083, 326, 2858, 574, 630, 10468, 1575, 4094, 264, 610, 890, 326, 16344, 326, 2858, 574, 630, 10468, 592, 770, 320, 1916, 307, 2692, 1922, 559, 326, 2858, 574, 630, 294, 3757, 1460, 264, 543, 890, 326, 16344, 326, 2858, 574, 18191, 332, 27219, 630, 293, 17139, 10042, 264, 616, 519, 19777, 574, 559, 1513, 547, 891, 5061, 563, 18814, 547, 519, 1950, 5663, 1184, 267, 19777, 574, 559, 1513, 616, 14427, 547, 3132, 269, 1306, 811, 19777, 574, 559, 1513, 1831, 2139, 267, 3790, 949, 979, 1524, 936, 942, 563, 2005, 779, 7164, 875, 19777, 25630, 3790, 786, 1860, 2550, 563, 7312, 1072, 1416, 8502, 666, 2995, 596, 2436, 513, 19777, 25630, 3075, 949, 581, 851, 540, 707, 6089, 2860, 2126, 1544, 269, 1403, 596, 723, 2055, 827, 513, 19777, 25630, 267, 2911, 609, 707, 8502, 563, 293, 9711, 585, 5020, 281, 645, 3930, 574, 559, 1513, 454, 26524, 547, 9105, 2659, 16362, 281, 645, 3930, 574, 559, 1513, 454, 289, 3930, 574, 559, 1513, 281, 1548, 1358, 3657, 543, 1548, 1411, 10261, 547, 5700, 454, 272, 268, 279, 6507, 23184, 918, 6865, 2894, 263, 272, 268, 279, 6507, 268, 275, 4792, 268, 5780, 274, 277, 994, 1432, 3947, 596, 4222, 1282, 2126, 286, 0, 12585, 547, 7726, 1948, 31620, 7918, 538, 17449, 8212, 1923, 26457, 19392, 585, 26701, 523, 28418, 454, 8196, 519, 476, 276, 9912, 1505, 543, 581, 2386, 547, 1331, 4559, 1141, 3617, 269, 18471, 707, 4267, 547, 519, 2953, 1297, 540, 1713, 9704, 563, 3849, 3286, 519, 5860, 4542, 543, 4194, 519, 2042, 2630, 912, 1692, 1082, 10101, 540, 17646, 1131, 19582, 476, 1428, 269, 276, 700, 267, 952, 621, 814, 513, 5860, 540, 476, 1704, 269, 25228, 575, 30763, 274, 286, 263, 327, 842, 476, 272, 299, 284, 1911, 271, 9492, 274, 264, 0, 18250, 10111, 20321, 1143, 513, 6390, 634, 4414, 2480, 732, 538, 4173, 23026, 781, 634, 14265, 24862, 454, 1911, 274, 9293, 15037, 476, 1704, 267, 476, 1001, 10019, 9664, 454, 2108, 299, 5366, 17534, 16173, 9635, 5608, 729, 513, 2442, 2165, 22579, 538, 519, 2038, 476, 3707, 271, 779, 547, 16401, 25399, 269, 901, 10839, 2059, 609, 1082, 824, 9413, 267, 2835, 267, 1148, 543, 2575, 267, 723, 2097, 856, 540, 602, 942, 547, 1397, 519, 1198, 540, 5062, 10111, 20321, 1143, 513, 6390, 968, 763, 4414, 2480, 732, 6100, 4173, 23026, 513, 2797, 20419, 626, 543, 14880, 16019, 519, 2278, 540, 968, 763, 14265, 24862, 892, 1312, 1185, 513, 1804, 1764, 593, 1004, 779, 6981, 540, 5062, 10111, 20321, 1143, 269, 1703, 616, 10486, 543, 3604, 1063, 4173, 23026, 543, 16019, 543, 519, 1259, 789, 4682, 827, 10213, 519, 1650, 540, 5062, 10111, 20321, 1143, 269, 1809, 789, 1312, 6829, 998, 1114, 23447, 875, 5739, 519, 2360, 540, 5062, 10111, 20321, 1143, 2451, 593, 519, 4182, 269, 634, 3604, 1063, 873, 616, 2143, 1369, 741, 960, 543, 519, 10486, 616, 789, 1312, 7691, 835, 1268, 729, 538, 5279, 855, 1185, 711, 513, 2603, 540, 1379, 543, 1776, 1268, 609, 519, 4890, 1379, 269, 1656, 789, 1312, 7691, 519, 16995, 2963, 602, 27737, 5062, 10111, 20321, 729, 4758, 856, 543, 1644, 602, 1249, 883, 741, 1106, 540, 1148, 563, 3080, 540, 519, 10486, 1063, 4173, 23026, 543, 16019, 568, 789, 1312, 1397, 835, 1268, 538, 5279, 855, 609, 9277, 1379, 543, 1776, 1915, 609, 4890, 1268, 609, 519, 4890, 1379, 269, 4173, 23026, 2982, 713, 538, 513, 2797, 20419, 1572, 968, 5970, 513, 1416, 267, 11184, 6100, 901, 20419, 2982, 27737, 15608, 5062, 10111, 20321, 8066, 513, 855, 7129, 17180, 29270, 513, 18901, 5518, 29276, 327, 1077, 269, 634, 5518, 814, 513, 18156, 1352, 987, 855, 538, 1747, 540, 513, 17180, 646, 27605, 856, 513, 13692, 269, 901, 20419, 2982, 602, 1256, 1498, 519, 5518, 568, 1483, 12264, 519, 812, 609, 1379, 646, 568, 1379, 1652, 538, 713, 3510, 0, 347, 12441, 596, 1611, 547, 6460, 1475, 6420, 1496, 12626, 2639, 1692, 1082, 2887, 538, 476, 272, 1688, 888, 763, 2626, 568, 476, 271, 269, 26522, 279, 1691, 279, 1691, 279, 1691, 279, 1428, 563, 2171, 8263, 596, 616, 14291, 1063, 2887, 1496, 12626, 316, 543, 1688, 1496, 12061, 25668, 710, 14073, 2791, 666, 2070, 811, 3877, 593, 1142, 6482, 1770, 912, 6420, 610, 1688, 454, 763, 16038, 3490, 1770, 585, 3259, 568, 519, 25451, 563, 272, 25451, 568, 3160, 547, 476, 271, 269, 13970, 279, 1428, 11793, 275, 3393, 6734, 2887, 267, 610, 476, 280, 269, 279, 5655, 31982, 277, 5952, 271, 4375, 275, 1688, 563, 9616, 602, 24263, 6959, 949, 2049, 267, 865, 2141, 2638, 519, 2164, 563, 8196, 713, 2985, 547, 1451, 875, 547, 6460, 1063, 8813, 543, 1688, 1496, 12061, 25668, 710, 14073, 13911, 538, 707, 1378, 2338, 538, 519, 1106, 547, 6460, 519, 4559, 2336, 272, 2887, 547, 1688, 815, 476, 6858, 269, 276, 1688, 454, 273, 2887, 547, 1688, 815, 476, 13670, 1688, 454, 274, 2887, 547, 1688, 815, 476, 1708, 269, 276, 1688, 454, 275, 2887, 547, 1688, 815, 476, 17734, 1688, 454, 276, 2887, 547, 1688, 815, 476, 29876, 269, 276, 1688, 454, 277, 2887, 547, 1688, 815, 476, 28147, 1688, 454, 278, 2887, 547, 1688, 815, 476, 5325, 273, 269, 276, 1688, 454, 279, 2887, 547, 1688, 815, 476, 25851, 1688, 454, 280, 2887, 547, 1688, 815, 476, 2568, 278, 269, 276, 1688, 454, 1015, 2887, 547, 1688, 815, 476, 277, 4037, 1688, 454, 2791, 666, 798, 519, 9258, 1770, 7503, 689, 1688, 547, 2887, 267, 610, 4283, 1022, 1079, 4559, 2630, 912, 3519, 3200, 4462, 1080, 2593, 2488, 606, 2228, 7503, 9498, 585, 782, 2010, 540, 6482, 4559, 269, 1411, 666, 1265, 11973, 7503, 7515, 585, 16038, 4559, 267, 607, 1134, 607, 2296, 4559, 267, 9304, 267, 543, 824, 1239, 269, 7392, 538, 1770, 6698, 267, 31120, 267, 610, 2407, 4408, 585, 4559, 540, 3259, 267, 1858, 267, 2527, 267, 2604, 267, 543, 824, 2010, 269, 6201, 1331, 6515, 267, 10759, 267, 476, 1911, 4846, 267, 2475, 5714, 26412, 267, 476, 277, 262, 274, 2580, 476, 1015, 6149, 476, 275, 267, 12945, 4699, 267, 15432, 16302, 267, 10101, 267, 18253, 267, 3952, 829, 2034, 267, 543, 1082, 811, 256, 0, 310, 6504, 32184, 2549, 1228, 639, 20787, 691, 543, 1010, 1920, 10272, 519, 3703, 7467, 543, 941, 14952, 539, 676, 1018, 789, 4718, 269, 6969, 6028, 267, 20787, 691, 267, 945, 729, 1152, 8370, 267, 7768, 968, 18661, 568, 3776, 25083, 892, 538, 717, 5634, 607, 513, 10516, 547, 519, 3703, 7467, 563, 1103, 476, 4350, 276, 267, 519, 4436, 21917, 12070, 8583, 7768, 519, 670, 1993, 1962, 7564, 340, 27346, 6441, 1221, 538, 8956, 547, 713, 1747, 563, 763, 1884, 1335, 540, 26990, 657, 729, 7768, 538, 476, 4572, 271, 676, 519, 22459, 681, 2378, 6130, 2836, 548, 10937, 717, 6759, 1889, 345, 269, 898, 779, 23475, 1169, 1032, 538, 519, 2749, 781, 16873, 267, 538, 4395, 540, 519, 1488, 1723, 632, 13244, 3057, 17144, 269, 19415, 547, 519, 1884, 1335, 269, 0, 23727, 2361, 15143, 616, 1100, 3476, 3908, 547, 2757, 2257, 7740, 734, 339, 3736, 781, 13241, 15143, 616, 7317, 267, 2502, 267, 543, 3142, 4928, 2035, 547, 1272, 585, 1053, 563, 9336, 2875, 14560, 513, 2361, 7552, 267, 543, 609, 513, 2370, 4058, 267, 621, 666, 581, 6140, 1187, 543, 1970, 3613, 816, 585, 3610, 543, 669, 1653, 2158, 563, 3080, 540, 519, 1655, 1919, 827, 513, 13241, 2361, 7552, 568, 602, 621, 3947, 1053, 513, 4960, 547, 4019, 741, 4928, 1565, 547, 513, 1483, 3734, 3510, 269, 901, 2186, 540, 6278, 2337, 1053, 1294, 875, 4648, 946, 13241, 1142, 1554, 267, 543, 621, 849, 12987, 873, 547, 2015, 13241, 585, 741, 1378, 2104, 563, 4407, 538, 16512, 2361, 15143, 616, 3078, 31972, 29771, 547, 3367, 2859, 454, 6701, 1411, 606, 3447, 1807, 888, 7476, 5131, 2228, 1569, 547, 782, 938, 454, 18080, 543, 2200, 0, 10144, 945, 7985, 689, 2789, 7209, 616, 4079, 945, 2661, 609, 513, 12003, 7271, 602, 5249, 1134, 547, 7639, 519, 3520, 5558, 540, 6057, 538, 6689, 855, 568, 711, 2324, 607, 1134, 538, 513, 3339, 2937, 1604, 269, 2353, 2550, 609, 667, 2839, 7985, 547, 930, 6708, 267, 799, 2356, 11479, 873, 547, 1265, 8323, 269, 2368, 540, 891, 3029, 540, 8323, 616, 2635, 267, 971, 607, 21911, 267, 543, 930, 949, 581, 14432, 267, 971, 607, 1039, 11881, 1031, 547, 546, 3497, 519, 11213, 4606, 563, 5278, 1004, 609, 2789, 7209, 2408, 547, 1599, 7363, 543, 949, 711, 2933, 917, 602, 789, 723, 811, 982, 835, 7209, 269, 1358, 949, 581, 2111, 547, 1599, 693, 513, 1360, 1164, 1377, 693, 513, 2816, 267, 585, 3236, 267, 1247, 1346, 2673, 547, 873, 2631, 1919, 616, 711, 3339, 269, 1358, 949, 1599, 7363, 585, 1296, 543, 1287, 723, 513, 6433, 602, 4667, 547, 1020, 1360, 6385, 269, 4033, 1004, 609, 667, 2839, 723, 8373, 8647, 7363, 543, 723, 513, 1279, 1686, 540, 5626, 2042, 269, 1452, 1004, 949, 581, 8572, 547, 960, 547, 1489, 2933, 543, 991, 2789, 6413, 3074, 269, 898, 568, 1455, 585, 2576, 609, 667, 2839, 547, 1599, 693, 606, 5393, 1164, 1377, 538, 835, 1858, 610, 693, 835, 942, 543, 267, 598, 14287, 267, 547, 1599, 693, 513, 1360, 1970, 1377, 538, 1776, 1858, 610, 693, 1776, 942, 269, 901, 3762, 1346, 1472, 873, 1360, 7138, 1194, 543, 11821, 563, 24078, 713, 2376, 5363, 888, 18183, 2064, 568, 2556, 547, 3035, 1967, 538, 1272, 269, 2368, 2500, 6015, 4388, 1590, 581, 4553, 952, 596, 22992, 1616, 547, 2744, 22920, 538, 707, 960, 269, 1924, 875, 798, 596, 1628, 707, 6015, 602, 786, 960, 585, 596, 538, 1022, 3510, 286, 21231, 267, 1118, 606, 4674, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6820, 2657, 30404, 5303, 630, 21203, 3951, 264, 8750, 9307, 513, 2698, 540, 5111, 476, 16020, 2929, 586, 523, 630, 4785, 259, 277, 269, 277, 2929, 265, 264, 547, 1902, 538, 3670, 12352, 547, 1020, 1007, 12468, 3058, 5061, 585, 13663, 543, 932, 698, 553, 8376, 267, 513, 6669, 585, 13663, 267, 543, 26129, 585, 21061, 630, 307, 289, 1916, 15675, 539, 547, 581, 14102, 585, 519, 2179, 540, 8946, 289, 476, 2767, 267, 5325, 272, 267, 30203, 630, 4785, 291, 476, 279, 4343, 267, 6812, 278, 264, 568, 519, 1788, 13886, 968, 15275, 2305, 543, 4406, 9179, 540, 15783, 26736, 7116, 1756, 661, 274, 700, 580, 1162, 585, 11550, 307, 3722, 25957, 892, 3366, 676, 3220, 269, 21193, 760, 565, 590, 3234, 784, 330, 565, 335, 603, 752, 267, 1763, 792, 7815, 540, 13571, 1512, 21954, 30472, 543, 29119, 12817, 7177, 3194, 12243, 267, 19739, 5588, 4488, 543, 674, 8379, 4488, 306, 267, 5549, 1421, 3567, 563, 22416, 7559, 568, 835, 540, 519, 1034, 7839, 11763, 3676, 538, 799, 936, 476, 1220, 2929, 5563, 2049, 12422, 5001, 269, 7351, 1884, 2711, 25106, 5061, 798, 711, 960, 1134, 1996, 4731, 25106, 21313, 269, 4165, 2711, 25106, 5061, 957, 676, 32485, 513, 23020, 1184, 538, 519, 21313, 267, 585, 1383, 267, 606, 11747, 3077, 267, 6466, 519, 3075, 1590, 581, 1808, 547, 519, 3077, 547, 2061, 6757, 2427, 2360, 269, 901, 23506, 10421, 568, 606, 31456, 685, 24933, 607, 3075, 15033, 15495, 609, 1507, 4719, 2242, 602, 2061, 519, 3075, 689, 11006, 269, 2290, 3070, 547, 3075, 4187, 568, 547, 1020, 1007, 5061, 1996, 1007, 9072, 269, 1717, 267, 3384, 1007, 5061, 568, 4101, 1317, 972, 616, 1906, 5078, 3075, 9072, 269, 589, 1007, 3075, 1374, 1935, 568, 2877, 547, 4228, 519, 27132, 540, 1884, 2711, 25106, 9072, 543, 519, 3075, 19070, 531, 547, 17908, 5892, 2150, 31189, 16426, 538, 519, 21313, 269, 5502, 540, 1210, 5061, 602, 957, 607, 20127, 540, 3077, 3252, 267, 5061, 2966, 607, 3940, 2554, 571, 1457, 267, 849, 1634, 607, 11550, 974, 565, 1736, 6874, 6635, 1326, 532, 932, 574, 10327, 610, 11550, 307, 3722, 338, 267, 666, 6861, 3077, 5946, 269, 634, 3940, 2554, 571, 1457, 960, 676, 554, 6359, 22326, 519, 2926, 553, 727, 630, 320, 3940, 1950, 1459, 538, 1169, 1591, 602, 6923, 9397, 1524, 2025, 610, 8697, 5946, 264, 547, 31358, 513, 3077, 3940, 269, 19871, 9714, 619, 616, 2966, 609, 835, 968, 8705, 3650, 892, 602, 25907, 519, 3077, 543, 1776, 602, 25907, 21866, 514, 661, 274, 14270, 848, 267, 513, 3940, 602, 7436, 824, 5946, 585, 12159, 269, 901, 1935, 814, 519, 5413, 602, 519, 3940, 9714, 619, 666, 12622, 9170, 593, 519, 3077, 267, 1510, 519, 19231, 540, 11006, 547, 4609, 1271, 585, 3077, 1599, 269, 4475, 267, 519, 3940, 9714, 619, 666, 581, 2966, 1996, 5946, 5892, 711, 2808, 607, 3075, 9072, 269, 11550, 307, 3722, 1884, 2711, 541, 10118, 9117, 593, 1007, 9072, 2429, 519, 21313, 1272, 4783, 1223, 581, 1271, 2645, 585, 519, 16701, 1709, 540, 13663, 269, 1717, 267, 1100, 1507, 2173, 1961, 9908, 11550, 307, 3722, 1884, 2711, 25106, 4867, 6818, 1317, 649, 3668, 1702, 540, 13663, 21313, 21866, 514, 661, 274, 14270, 1162, 267, 543, 1100, 3114, 968, 8705, 3650, 892, 568, 2139, 602, 666, 15313, 513, 21313, 21866, 514, 661, 274, 14270, 848, 585, 554, 6359, 22326, 519, 21313, 779, 2926, 553, 727, 563, 763, 1788, 6663, 547, 2697, 513, 3114, 2112, 3650, 4433, 264, 602, 666, 15313, 513, 21313, 21866, 514, 661, 274, 14270, 848, 4433, 264, 547, 31358, 513, 3077, 21313, 3940, 267, 799, 786, 13822, 513, 3760, 585, 519, 1374, 540, 3940, 2554, 571, 1457, 1884, 2711, 541, 10118, 563, 763, 674, 8379, 4488, 306, 2754, 630, 297, 3253, 264, 786, 30075, 513, 5399, 540, 3940, 9714, 619, 585, 3355, 9584, 269, 634, 19739, 5588, 4488, 4659, 630, 1320, 16233, 264, 786, 1685, 3940, 12159, 6901, 543, 519, 3940, 2554, 571, 1457, 11938, 540, 1246, 6823, 7135, 563, 763, 6820, 2657, 30404, 5303, 8750, 630, 21203, 3951, 8750, 1070, 2212, 32483, 1229, 538, 3567, 267, 568, 606, 3486, 1857, 17376, 10675, 11450, 1063, 519, 6554, 540, 3567, 630, 14737, 3588, 540, 14579, 16457, 543, 12080, 540, 2657, 267, 23267, 543, 28054, 1070, 476, 1626, 3056, 14453, 543, 26129, 3549, 267, 519, 4270, 2492, 11565, 543, 2136, 8315, 4886, 19510, 630, 7419, 7894, 1040, 898, 7482, 3621, 1382, 543, 1646, 585, 4550, 29795, 1161, 543, 26129, 585, 3676, 602, 5097, 1860, 519, 3384, 1158, 269, 0, 24426, 828, 9798, 269, 31427, 269, 27725, 619, 269, 2480, 776, 1913, 267, 1318, 286, 10251, 649, 4312, 1044, 6217, 1932, 1454, 25015, 827, 6880, 6760, 267, 26030, 2264, 6285, 267, 543, 513, 3984, 540, 824, 2152, 602, 1118, 721, 1745, 811, 7925, 543, 1447, 8746, 538, 938, 2228, 3106, 267, 15029, 693, 519, 1482, 942, 267, 585, 1732, 610, 8338, 267, 811, 540, 938, 2729, 1847, 2228, 269, 6056, 12948, 543, 10918, 267, 538, 1880, 267, 607, 1134, 607, 782, 519, 2123, 1344, 602, 6818, 593, 938, 1514, 2923, 267, 538, 938, 4357, 7391, 267, 543, 15737, 563, 2171, 991, 547, 2253, 547, 1174, 543, 547, 2057, 782, 519, 2228, 20637, 602, 666, 4734, 721, 1930, 543, 7925, 547, 1085, 27980, 543, 21190, 267, 585, 1383, 912, 29490, 2638, 519, 30699, 540, 1022, 4757, 602, 3568, 513, 3095, 267, 543, 1118, 2386, 621, 568, 689, 513, 11967, 2707, 269, 5871, 15361, 1085, 27980, 786, 946, 568, 547, 6494, 606, 4757, 17729, 547, 581, 689, 267, 585, 1383, 267, 707, 4871, 267, 609, 513, 3095, 547, 513, 16995, 3135, 602, 786, 2307, 596, 547, 4283, 707, 3877, 538, 606, 3801, 547, 21102, 2123, 1344, 267, 18538, 610, 1256, 12948, 3877, 269, 1411, 1522, 2638, 519, 30699, 540, 519, 4757, 543, 1265, 602, 519, 4757, 1281, 711, 5330, 547, 606, 4013, 552, 17733, 2232, 269, 901, 2186, 540, 8945, 568, 1634, 607, 513, 26122, 4323, 563, 10673, 1405, 3643, 267, 4647, 4376, 689, 267, 610, 4283, 1022, 1344, 593, 1022, 19796, 1190, 3896, 269, 5700, 1141, 596, 616, 543, 1141, 596, 2811, 2469, 2228, 563, 8196, 2178, 267, 1279, 267, 2189, 18538, 267, 5627, 513, 7848, 540, 5022, 267, 2338, 543, 6698, 269, 5213, 1405, 19074, 18538, 585, 2789, 4609, 267, 610, 946, 2241, 18538, 563, 7661, 267, 1376, 1210, 1079, 29969, 17452, 585, 782, 707, 4609, 602, 2270, 6213, 1344, 563, 1432, 568, 1079, 29969, 17452, 286, 1879, 707, 4871, 267, 707, 21888, 2272, 267, 610, 5616, 2272, 267, 585, 1383, 267, 2154, 596, 547, 6166, 707, 3961, 3842, 513, 1257, 539, 610, 4757, 539, 3009, 267, 602, 781, 1079, 29969, 17452, 269, 898, 814, 513, 1297, 540, 3029, 267, 1519, 8924, 899, 5616, 8076, 1807, 267, 855, 1257, 539, 9479, 1869, 3100, 547, 581, 519, 1034, 1455, 269, 10251, 267, 9039, 540, 891, 1949, 616, 18174, 16513, 910, 606, 1383, 540, 519, 16426, 609, 621, 568, 602, 540, 834, 13678, 1606, 342, 6260, 2580, 513, 1106, 540, 1514, 4702, 17929, 513, 11360, 518, 786, 3346, 707, 6049, 15298, 5910, 2056, 547, 581, 596, 543, 18609, 873, 547, 23396, 707, 1297, 547, 1776, 1138, 267, 799, 789, 4865, 269, 1358, 666, 7551, 4309, 519, 1257, 539, 3009, 585, 707, 570, 11902, 269, 901, 568, 711, 2527, 1947, 1455, 267, 543, 568, 2352, 585, 519, 1085, 600, 1067, 547, 7485, 1055, 267, 855, 621, 1281, 4755, 267, 543, 666, 581, 14042, 563, 13295, 910, 962, 889, 4815, 267, 543, 741, 1079, 29969, 17452, 10569, 269, 1452, 2370, 16921, 616, 835, 540, 519, 1034, 2241, 2943, 2500, 3029, 540, 1079, 29969, 17452, 543, 2228, 4027, 4867, 2139, 269, 2353, 596, 798, 568, 3442, 707, 962, 889, 328, 7659, 607, 707, 570, 11902, 4781, 538, 519, 5468, 540, 707, 2272, 630, 31347, 621, 781, 8835, 267, 9365, 267, 21888, 267, 8726, 267, 519, 962, 889, 328, 7659, 1568, 609, 513, 21318, 540, 5867, 1070, 11690, 621, 538, 267, 543, 950, 19430, 693, 21189, 267, 596, 1175, 5905, 707, 962, 889, 328, 7659, 267, 543, 21350, 10042, 256, 3143, 991, 547, 723, 707, 6049, 547, 1688, 543, 7227, 585, 513, 1257, 267, 610, 547, 1930, 707, 4757, 543, 5299, 513, 3009, 269, 1703, 781, 1945, 827, 602, 2168, 2962, 540, 2965, 15700, 513, 1883, 547, 21189, 602, 1175, 7959, 5150, 543, 3947, 513, 4708, 540, 2247, 269, 7937, 267, 543, 1705, 649, 2446, 602, 5616, 723, 1044, 1210, 891, 585, 741, 5520, 585, 513, 1247, 267, 543, 723, 2016, 873, 1079, 555, 29304, 909, 286, 6744, 602, 856, 1934, 563, 763, 3059, 1158, 568, 4657, 267, 543, 649, 991, 547, 1491, 621, 12517, 269, 1306, 540, 2943, 649, 10093, 1405, 1336, 513, 1587, 602, 568, 607, 2500, 693, 2228, 3354, 607, 962, 889, 328, 7659, 269, 16731, 873, 593, 962, 889, 4815, 2593, 610, 3643, 741, 8835, 4558, 2630, 547, 1294, 811, 912, 5278, 540, 519, 2039, 540, 962, 889, 328, 7659, 3681, 912, 17582, 609, 5985, 3457, 1932, 912, 1607, 4528, 609, 31937, 6284, 568, 4947, 4166, 281, 0, 763, 2136, 8315, 4937, 13909, 630, 7419, 16598, 264, 10294, 519, 4139, 5729, 540, 19676, 476, 1220, 275, 1282, 922, 476, 6872, 628, 29140, 538, 5412, 476, 1220, 273, 269, 634, 11428, 540, 606, 4139, 5729, 547, 513, 2582, 7693, 729, 13778, 538, 6167, 16598, 779, 1686, 269, 769, 30418, 519, 5729, 267, 519, 4937, 13909, 14751, 539, 519, 991, 547, 1445, 1158, 3007, 593, 519, 1909, 602, 7573, 666, 1404, 538, 3246, 1426, 3354, 543, 16701, 21899, 6710, 563, 763, 594, 13612, 5240, 12072, 5292, 269, 476, 7871, 3568, 5631, 519, 1883, 17084, 543, 4574, 4843, 1282, 519, 2034, 1554, 540, 519, 4139, 19676, 10985, 267, 799, 941, 4843, 676, 7986, 3744, 543, 8128, 538, 7573, 1382, 543, 1646, 538, 1931, 547, 2671, 519, 1699, 1702, 267, 2219, 543, 22649, 585, 4264, 7573, 2504, 1949, 269, 634, 594, 13612, 5240, 12072, 5292, 269, 476, 7871, 6663, 547, 3035, 519, 1455, 6662, 540, 519, 6388, 540, 519, 4139, 5729, 540, 19676, 912, 763, 4139, 5729, 540, 19676, 8992, 4824, 2504, 543, 1569, 547, 713, 4105, 1426, 7693, 267, 799, 20555, 811, 982, 3368, 540, 519, 1158, 2551, 1247, 3246, 4747, 585, 6634, 540, 7573, 12696, 2676, 15263, 832, 543, 18318, 269, 634, 1646, 540, 4264, 7573, 2861, 1949, 786, 2569, 14000, 543, 6710, 543, 3565, 547, 2825, 5726, 543, 513, 1732, 1272, 585, 1459, 543, 2104, 454, 10090, 725, 585, 7247, 19676, 568, 5020, 269, 0, 13142, 19714, 3131, 9469, 16500, 2006, 267, 683, 324, 23770, 3131, 9469, 267, 729, 4535, 538, 476, 5908, 271, 538, 19134, 5112, 267, 1230, 333, 2045, 583, 269, 19759, 569, 267, 1352, 8149, 11980, 538, 476, 4350, 276, 538, 17131, 611, 6511, 4993, 269, 4173, 4651, 779, 1920, 729, 5266, 1134, 4448, 267, 855, 1200, 4651, 2451, 519, 1920, 950, 1352, 729, 1762, 267, 6028, 1200, 3993, 547, 3142, 909, 519, 1079, 1453, 269, 4173, 3993, 729, 7142, 547, 1847, 1472, 513, 2603, 547, 1265, 960, 543, 23770, 779, 2069, 11124, 1317, 540, 602, 563, 22818, 1317, 540, 1200, 4101, 6689, 267, 23770, 2968, 513, 1514, 6963, 518, 543, 15594, 543, 729, 5461, 538, 2417, 532, 519, 2797, 4690, 540, 2021, 269, 2701, 8547, 513, 15594, 4760, 634, 5983, 14725, 1676, 689, 476, 5002, 280, 563, 763, 14117, 9931, 17549, 568, 1200, 1655, 1634, 1650, 543, 729, 3370, 538, 476, 6245, 273, 269, 2701, 849, 5206, 1875, 27395, 1034, 16113, 267, 6468, 543, 13188, 799, 729, 3370, 538, 476, 6245, 279, 269, 634, 14117, 9931, 17549, 729, 2965, 9210, 28964, 476, 272, 540, 519, 25839, 26415, 12267, 23093, 4751, 563, 15463, 1101, 7365, 729, 547, 606, 7376, 1572, 8176, 853, 1115, 517, 538, 476, 6642, 275, 693, 519, 2085, 540, 476, 2190, 269, 634, 7365, 729, 711, 6126, 543, 1352, 11124, 689, 4965, 269, 898, 568, 1767, 602, 713, 4576, 3177, 1454, 540, 519, 1570, 585, 634, 14117, 9931, 17549, 267, 543, 952, 1352, 729, 7092, 689, 4965, 609, 2618, 5328, 2934, 267, 713, 1131, 17063, 538, 1360, 1134, 609, 519, 536, 11170, 19128, 1642, 16272, 827, 519, 3774, 17549, 543, 519, 1919, 538, 621, 269, 901, 568, 24188, 540, 634, 9710, 5055, 676, 519, 3943, 5856, 24053, 632, 31410, 10139, 656, 267, 799, 568, 9210, 28964, 476, 3374, 540, 519, 25839, 26415, 12267, 23093, 4751, 269, 634, 9710, 5055, 729, 3370, 538, 476, 6642, 278, 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 ]
[ 0, 320, 25507, 9272, 3488, 10938, 519, 1297, 540, 2053, 596, 1616, 547, 1820, 519, 2262, 10807, 3418, 321, 284, 6358, 3488, 10938, 519, 2262, 262, 10142, 6112, 5416, 256, 284, 271, 8029, 13537, 6600, 262, 346, 321, 348, 20298, 453, 320, 30381, 268, 272, 0, 5814, 4351, 1477, 320, 284, 6358, 2891, 11767, 3593, 476, 272, 781, 3903, 20257, 12294, 14052, 2745, 2891, 11960, 265, 290, 4047, 288, 16249, 10691, 20231, 8582, 3633, 7052, 30995, 315, 333, 14826, 14826, 257, 265, 1911, 3418, 321, 284, 12690, 27110, 263, 272, 267, 273, 3418, 604, 6357, 2525, 272, 8029, 453, 321, 6889, 13702, 29177, 19197, 6357, 2525, 273, 8029, 453, 321, 6889, 17549, 29177, 12828, 6769, 453, 321, 6889, 2675, 1170, 528, 29177, 604, 513, 6769, 14851, 536, 6769, 453, 14851, 5416, 2525, 321, 8029, 567, 4848, 567, 1820, 2891, 2316, 292, 14744, 258, 4629, 290, 298, 1477, 453, 453, 19197, 513, 2525, 257, 13702, 257, 6769, 4848, 14851, 536, 2525, 257, 17549, 257, 6769, 15235, 13537, 2891, 289, 654, 1231, 14744, 4848, 453, 19197, 536, 2525, 257, 2675, 1170, 528, 257, 6769, 15235, 13537, 2891, 288, 654, 27486, 14744, 4848, 28432, 6769, 15235, 13537, 2891, 1103, 20777, 3403, 14744, 258, 303, 4338, 2207, 1477, 453, 453, 19197, 513, 2525, 257, 17549, 257, 6769, 4848, 14851, 536, 2525, 257, 13702, 257, 6769, 15235, 13537, 2891, 288, 654, 1231, 14744, 4848, 453, 19197, 536, 2525, 257, 2675, 1170, 528, 257, 6769, 15235, 13537, 2891, 289, 654, 27486, 14744, 4848, 28432, 6769, 15235, 13537, 2891, 1103, 20777, 3403, 14744, 258, 17092, 3041, 306, 3036, 1477, 453, 453, 19197, 513, 2525, 257, 2675, 1170, 528, 257, 6769, 4848, 14851, 536, 2525, 257, 13702, 257, 6769, 15235, 13537, 2891, 289, 654, 27486, 14744, 4848, 453, 19197, 536, 2525, 257, 17549, 257, 6769, 15235, 13537, 2891, 288, 654, 27486, 14744, 4848, 28432, 6769, 15235, 13537, 2891, 1103, 20777, 3403, 14744, 453, 28432, 6769, 4848, 13537, 2891, 1103, 20777, 18452, 269, 8923, 2119, 1586, 14744, 28432, 6769, 453, 13537, 2891, 16651, 476, 273, 9373, 1945, 14744, 12828, 6769, 1820, 2891, 5522, 16558, 4283, 1945, 14744, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 11205, 9484, 476, 2918, 476, 4905, 281, 2918, 281, 2412, 476, 1001, 279, 5897, 287, 10461, 281, 2494, 328, 1477, 18851, 5897, 26611, 16535, 270, 7090, 274, 5897, 5814, 15259, 1477, 5814, 19523, 5897, 258, 1477, 258, 13159, 519, 942, 3519, 11437, 1599, 2630, 23228, 258, 1477, 3698, 942, 3519, 11437, 4433, 8029, 825, 521, 272, 815, 630, 338, 11468, 268, 273, 29573, 825, 533, 815, 834, 29177, 825, 521, 273, 815, 521, 15631, 273, 281, 15947, 825, 952, 630, 338, 273, 2652, 1412, 4456, 262, 8029, 1038, 952, 4433, 11468, 273, 316, 2652, 1412, 1321, 262, 8029, 2018, 533, 815, 1193, 3488, 876, 262, 1341, 521, 314, 273, 281, 279, 29573, 1038, 3116, 6769, 2018, 533, 815, 521, 11468, 268, 273, 15947, 825, 8640, 4433, 273, 2652, 1412, 15014, 262, 8029, 1038, 952, 4433, 11468, 273, 316, 2652, 1412, 1321, 262, 8029, 2018, 533, 815, 521, 11468, 268, 273, 15947, 1038, 3116, 6769, 2018, 533, 815, 1193, 17301, 4433, 11468, 273, 8079, 1341, 476, 1321, 3738, 1341, 521, 314, 273, 281, 279, 15947, 825, 2132, 533, 5897, 1363, 1477, 825, 1948, 1477, 825, 1948, 3503, 707, 3009, 1934, 23228, 825, 1948, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 535, 815, 1930, 263, 657, 269, 523, 1333, 9131, 5495, 9143, 7473, 318, 303, 26059, 28710, 1412, 342, 262, 10142, 825, 521, 815, 3403, 31476, 825, 1267, 815, 942, 3519, 11437, 4433, 10142, 825, 535, 22182, 31114, 1341, 1412, 315, 333, 262, 10142, 825, 535, 25379, 14052, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5814, 3009, 14369, 454, 5814, 942, 692, 5035, 6478, 12385, 337, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 32197, 2187, 1038, 609, 3009, 14369, 269, 13449, 6600, 32327, 267, 1412, 337, 3299, 17683, 8782, 583, 325, 279, 10807, 607, 535, 912, 2018, 1257, 815, 535, 18667, 4590, 1038, 1582, 25915, 815, 7003, 29495, 21858, 28361, 337, 14826, 10807, 314, 271, 7481, 1038, 1582, 4732, 13645, 815, 20886, 271, 585, 1535, 538, 2039, 4311, 25915, 13580, 585, 1535, 538, 2039, 4311, 25915, 22708, 1038, 585, 1775, 538, 2039, 4311, 25915, 2187, 2018, 585, 795, 538, 2039, 4311, 25915, 2187, 3546, 1582, 4732, 13645, 5157, 6012, 329, 316, 815, 1257, 21858, 28361, 337, 14826, 10807, 314, 328, 6012, 329, 4940, 523, 13892, 3488, 583, 325, 279, 5073, 1038, 2132, 692, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 2132, 1582, 25915, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 3977, 815, 1412, 7055, 1038, 585, 1775, 538, 2039, 4311, 25915, 2187, 2018, 585, 795, 538, 2039, 4311, 25915, 2187, 3546, 3977, 6834, 1582, 4732, 13645, 5157, 6012, 329, 2639, 3546, 3977, 6834, 1412, 1412, 454, 2018, 3977, 6834, 1412, 315, 333, 7055, 1038, 2132, 3977, 7531, 5035, 6478, 13729, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 32197, 2187, 1038, 1582, 269, 5320, 3553, 815, 1305, 4590, 1038, 609, 1930, 6600, 32327, 267, 1412, 337, 10807, 607, 535, 912, 2018, 585, 2262, 538, 535, 912, 3546, 1582, 269, 5320, 3553, 14491, 27182, 18622, 2897, 28361, 333, 3299, 1412, 10807, 9239, 3698, 3406, 4433, 267, 589, 267, 645, 267, 1775, 267, 795, 2187, 825, 521, 6834, 630, 288, 5157, 6012, 329, 7481, 825, 952, 630, 6352, 4433, 8358, 273, 264, 2652, 2450, 912, 1038, 952, 521, 538, 1305, 318, 6919, 269, 5320, 3553, 912, 3546, 1820, 521, 267, 795, 266, 272, 267, 1775, 266, 272, 454, 3546, 2132, 454, 1038, 2132, 692, 825, 645, 5157, 6012, 329, 316, 815, 476, 272, 454, 825, 952, 1775, 2999, 7003, 10490, 9984, 272, 912, 1038, 952, 645, 5157, 266, 272, 6012, 329, 316, 2652, 476, 271, 912, 2018, 3406, 4433, 267, 589, 267, 645, 267, 1775, 266, 272, 267, 795, 994, 22322, 825, 952, 795, 2999, 7003, 10490, 9984, 272, 912, 1038, 952, 645, 5157, 6012, 272, 266, 329, 316, 2652, 476, 271, 912, 2018, 3406, 4433, 267, 589, 267, 645, 267, 1775, 267, 795, 266, 272, 2020, 825, 952, 1775, 3436, 476, 271, 912, 1038, 952, 645, 5157, 268, 272, 6012, 329, 316, 2652, 476, 271, 912, 2018, 3406, 4433, 267, 589, 267, 645, 267, 1775, 268, 272, 267, 795, 994, 2018, 454, 825, 952, 795, 3436, 476, 271, 912, 1038, 952, 645, 5157, 6012, 329, 268, 272, 316, 2652, 476, 271, 912, 2018, 3406, 4433, 267, 589, 267, 645, 267, 1775, 267, 795, 268, 272, 994, 825, 645, 5157, 6012, 329, 316, 815, 476, 271, 454, 825, 2132, 7531, 3698, 979, 10031, 825, 589, 815, 6478, 12385, 337, 3488, 338, 13645, 17902, 5073, 825, 2518, 1305, 318, 6919, 454, 825, 2518, 2450, 454, 825, 1305, 318, 6919, 815, 6478, 13729, 3488, 3667, 17902, 5073, 825, 645, 815, 20886, 271, 585, 1535, 538, 2039, 12759, 10490, 4297, 316, 585, 1535, 538, 2039, 12759, 10490, 4297, 2639, 825, 521, 815, 1412, 7055, 825, 585, 2450, 538, 2039, 263, 276, 267, 476, 1321, 2187, 1038, 585, 1775, 538, 2039, 12759, 10490, 15892, 2018, 585, 795, 538, 2039, 12759, 10490, 15892, 3546, 3406, 4433, 267, 589, 4732, 13645, 267, 645, 267, 1775, 267, 795, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 4626, 652, 2086, 815, 942, 28333, 4590, 825, 979, 4590, 825, 1820, 942, 28333, 3890, 910, 4626, 652, 2086, 454, 0, 258, 589, 7097, 602, 1568, 538, 5124, 476, 274, 630, 341, 274, 269, 277, 994, 16482, 258, 634, 7097, 7024, 4408, 585, 513, 4351, 10516, 5385, 1141, 454, 258, 1142, 18579, 568, 9444, 519, 575, 1853, 6862, 519, 575, 1853, 781, 7649, 563, 16482, 258, 14871, 4433, 264, 4283, 4408, 538, 519, 4971, 1899, 267, 1287, 1412, 17380, 23823, 258, 634, 7097, 1287, 4051, 338, 3755, 547, 1413, 693, 519, 5496, 454, 258, 835, 27408, 8584, 6066, 547, 973, 10079, 741, 18579, 780, 5814, 4351, 267, 15259, 692, 3698, 2189, 12173, 28442, 8217, 267, 7649, 15058, 284, 5257, 2187, 825, 23288, 825, 1599, 19776, 3403, 2012, 547, 1699, 2012, 8217, 547, 2638, 602, 519, 7127, 568, 2189, 692, 825, 2012, 8217, 476, 2433, 1592, 540, 4408, 2907, 9411, 692, 825, 7649, 15058, 2433, 2012, 540, 1268, 781, 7649, 267, 952, 9138, 454, 825, 15981, 692, 825, 1948, 1711, 6366, 1592, 540, 782, 4408, 454, 825, 1592, 8217, 815, 1496, 14403, 952, 568, 27349, 263, 14403, 267, 1592, 264, 3116, 1496, 14403, 316, 585, 6221, 538, 2012, 8217, 2639, 825, 2012, 8217, 318, 29788, 815, 1496, 14403, 585, 1016, 4289, 538, 1592, 8217, 585, 6221, 538, 1016, 4289, 6540, 825, 1948, 568, 713, 1268, 2576, 781, 7649, 888, 825, 952, 7649, 15058, 2652, 1412, 12466, 1038, 568, 318, 4820, 1676, 815, 8771, 454, 825, 3116, 912, 1038, 568, 318, 4820, 1676, 815, 6936, 7531, 825, 1247, 6936, 1384, 1038, 1948, 1491, 3403, 2012, 454, 1038, 952, 568, 318, 4820, 1676, 281, 3097, 2018, 3403, 12173, 815, 1193, 9272, 2891, 11767, 519, 2012, 540, 4939, 338, 781, 7649, 26142, 333, 24257, 834, 4939, 7649, 15058, 4917, 1038, 3116, 281, 3097, 2018, 3403, 12173, 815, 1193, 9272, 19629, 333, 11767, 513, 2012, 630, 528, 1412, 17380, 262, 1040, 315, 333, 24257, 834, 11723, 1038, 1948, 1152, 1491, 513, 2012, 3403, 602, 3884, 1405, 2907, 538, 938, 1592, 454, 1038, 952, 3403, 12173, 538, 2012, 8217, 318, 29788, 912, 2018, 1820, 2891, 28989, 267, 4939, 338, 568, 2907, 538, 519, 1592, 269, 7490, 4283, 2189, 4408, 1701, 4939, 3403, 12173, 994, 2018, 3136, 454, 1038, 3116, 281, 3097, 2018, 2736, 692, 825, 2132, 3403, 12173, 7531, 3698, 5385, 5332, 1868, 28442, 8217, 2187, 825, 23288, 825, 1599, 7024, 513, 8675, 12805, 575, 1392, 547, 23700, 692, 825, 2012, 8217, 2433, 513, 1592, 540, 4408, 543, 5924, 8424, 540, 4408, 547, 581, 22121, 454, 825, 15981, 692, 825, 14286, 815, 476, 271, 454, 825, 1247, 6936, 1384, 1038, 2119, 912, 2018, 4758, 18380, 815, 31460, 2018, 1592, 8217, 815, 1496, 14403, 952, 568, 27349, 263, 14403, 267, 1592, 264, 3116, 1496, 14403, 316, 585, 6221, 538, 2012, 8217, 2639, 2018, 4408, 15461, 14682, 633, 815, 1496, 14403, 585, 1016, 4289, 538, 1592, 8217, 585, 6221, 538, 1016, 4289, 2639, 2018, 585, 2012, 538, 2012, 8217, 912, 27030, 3546, 952, 568, 27349, 28442, 267, 1592, 2187, 4449, 8931, 7386, 7649, 272, 815, 2012, 314, 271, 2639, 7386, 7649, 273, 815, 2012, 314, 272, 6540, 7386, 4408, 15461, 14682, 633, 272, 815, 4408, 15461, 14682, 633, 6983, 4878, 4590, 7386, 2119, 281, 4408, 15461, 14682, 633, 272, 31927, 263, 4820, 1676, 272, 994, 7386, 4849, 28759, 281, 1780, 454, 7386, 2119, 281, 4408, 15461, 14682, 633, 272, 31927, 263, 4820, 1676, 273, 994, 7386, 4849, 28759, 281, 1780, 454, 7386, 2285, 15461, 318, 272, 815, 4351, 26716, 4069, 3799, 1868, 15461, 14682, 633, 272, 994, 7386, 4408, 15461, 14682, 633, 31927, 14116, 633, 15461, 318, 272, 994, 7386, 4758, 18380, 314, 4820, 1676, 272, 316, 815, 2285, 15461, 318, 272, 692, 7386, 4408, 15461, 14682, 633, 273, 815, 4408, 15461, 14682, 633, 6983, 4878, 4590, 7386, 2119, 281, 4408, 15461, 14682, 633, 273, 31927, 263, 4820, 1676, 273, 994, 7386, 4849, 28759, 281, 1780, 454, 7386, 2119, 281, 4408, 15461, 14682, 633, 273, 31927, 263, 4820, 1676, 272, 994, 7386, 4849, 28759, 281, 1780, 454, 7386, 2285, 15461, 318, 273, 815, 4351, 26716, 4069, 3799, 1868, 15461, 14682, 633, 273, 994, 7386, 4408, 15461, 14682, 633, 31927, 14116, 633, 15461, 318, 273, 994, 7386, 4758, 18380, 314, 4820, 1676, 273, 316, 815, 2285, 15461, 318, 273, 692, 3546, 3116, 1384, 7386, 4408, 15461, 14682, 633, 318, 815, 4408, 15461, 14682, 633, 6983, 4878, 4590, 7386, 2119, 281, 4408, 15461, 14682, 633, 318, 269, 24525, 28442, 994, 7386, 4849, 28759, 281, 1780, 454, 7386, 2285, 15461, 815, 4351, 26716, 4069, 3799, 1868, 15461, 14682, 633, 318, 994, 7386, 4408, 15461, 14682, 633, 31927, 14116, 633, 15461, 994, 7386, 4758, 18380, 314, 4067, 316, 815, 2285, 15461, 454, 4449, 454, 2018, 2736, 692, 1038, 4849, 12039, 13286, 912, 2018, 14286, 6834, 476, 272, 454, 2018, 952, 14286, 3436, 476, 1911, 271, 281, 3097, 3546, 1820, 2891, 293, 9229, 476, 1911, 271, 2053, 269, 3657, 596, 2386, 621, 568, 2009, 547, 3651, 23700, 896, 519, 1412, 8253, 31313, 262 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19752, 519, 1210, 540, 18565, 267, 12449, 543, 6163, 585, 1357, 2985, 1374, 269, 898, 568, 5393, 1114, 547, 3896, 1646, 267, 602, 2115, 1152, 3850, 519, 12383, 610, 6337, 269, 18753, 1374, 568, 513, 3787, 811, 5461, 538, 14139, 10659, 540, 1379, 2645, 547, 1265, 606, 3310, 269, 13583, 20445, 786, 1419, 849, 1711, 5961, 267, 799, 941, 1500, 547, 1599, 607, 519, 1439, 1267, 585, 519, 1357, 21935, 269, 901, 568, 1018, 779, 1572, 3896, 2592, 563, 20329, 1670, 2511, 543, 1374, 568, 827, 875, 519, 1357, 9858, 1289, 547, 2247, 513, 1880, 7553, 3330, 21951, 269, 898, 15320, 513, 2370, 689, 1462, 2762, 267, 538, 713, 1357, 9367, 3921, 27274, 946, 12449, 538, 1747, 540, 2262, 532, 269, 16723, 2511, 568, 3226, 3351, 2213, 538, 1357, 4609, 6322, 4724, 3214, 269, 2368, 540, 519, 1034, 1134, 2000, 27419, 2375, 633, 11768, 5773, 1500, 946, 540, 593, 519, 4950, 4125, 476, 274, 291, 9698, 11708, 267, 5546, 267, 13462, 267, 19347, 12449, 543, 11269, 563, 2304, 4296, 11768, 5748, 5161, 540, 519, 17052, 7282, 7270, 267, 799, 1106, 519, 1357, 1646, 269, 19983, 9858, 3132, 519, 5075, 16853, 602, 5561, 786, 1205, 4448, 547, 269, 19983, 9755, 3335, 4217, 1357, 26292, 267, 585, 1383, 594, 1547, 661, 1547, 543, 594, 324, 269, 1358, 786, 2693, 849, 960, 609, 524, 916, 267, 971, 607, 16735, 335, 1137, 543, 31964, 563, 16158, 21935, 9858, 949, 1616, 547, 1118, 513, 3896, 2985, 11768, 2348, 513, 654, 312, 10485, 310, 312, 294, 630, 1492, 1587, 538, 2243, 568, 519, 2626, 264, 1935, 610, 1256, 513, 18044, 1935, 269, 5637, 540, 891, 3435, 723, 741, 1378, 11393, 543, 5383, 269, 634, 1483, 3017, 689, 707, 654, 312, 10485, 310, 312, 294, 11768, 607, 1134, 607, 513, 595, 2444, 8172, 6163, 18694, 3898, 568, 2141, 602, 1369, 519, 2034, 267, 519, 1374, 568, 17411, 609, 519, 22898, 6042, 267, 538, 4334, 547, 3330, 5449, 267, 606, 1439, 3593, 666, 4137, 856, 875, 519, 3896, 5654, 547, 873, 269, 5637, 2081, 616, 4122, 1031, 267, 855, 972, 616, 2965, 654, 312, 10485, 310, 312, 294, 4950, 3817, 799, 711, 723, 519, 2838, 5872, 547, 2327, 789, 616, 4277, 543, 19788, 596, 563, 2026, 13890, 1657, 267, 1034, 3135, 9858, 946, 3833, 513, 1906, 5773, 585, 1818, 1357, 3135, 1374, 269, 901, 1797, 602, 519, 5106, 540, 9591, 513, 3896, 568, 2944, 1454, 811, 2352, 950, 1142, 1505, 568, 1031, 269, 901, 568, 1946, 267, 1357, 21935, 9858, 786, 1419, 16926, 824, 9952, 3896, 9858, 602, 786, 948, 1247, 1210, 519, 1966, 9010, 5650, 269, 901, 786, 4217, 581, 2386, 602, 513, 4305, 786, 4440, 581, 6192, 3330, 513, 4015, 3259, 540, 942, 563, 763, 4644, 540, 2553, 949, 711, 581, 896, 1998, 4240, 269, 9453, 835, 267, 621, 949, 581, 4101, 547, 1711, 3896, 3817, 799, 666, 581, 4277, 543, 851, 1136, 269, 589, 1357, 14704, 786, 1118, 946, 540, 1896, 2409, 547, 3132, 519, 11768, 540, 1357, 3817, 269, 589, 24077, 3896, 1374, 2754, 786, 3815, 538, 1142, 540, 519, 2565, 4145, 950, 23115, 856, 519, 1249, 602, 1357, 2985, 1522, 581, 9112, 543, 11231, 2228, 563, 3080, 540, 519, 4105, 4145, 799, 616, 2813, 676, 3135, 9858, 568, 1462, 2762, 269, 634, 1462, 2762, 13166, 1031, 593, 513, 1357, 3135, 2511, 543, 1374, 666, 948, 707, 5467, 3313, 1018, 519, 2546, 568, 782, 827, 269, 1403, 513, 3593, 2824, 338, 519, 2985, 267, 789, 786, 581, 2111, 547, 917, 1360, 1134, 1018, 519, 3896, 568, 782, 827, 543, 1946, 789, 2461, 9363, 9859, 547, 621, 269, 3509, 2053, 267, 1462, 2762, 568, 2808, 10750, 543, 3274, 865, 950, 606, 1310, 2288, 339, 563, 15987, 3896, 1374, 1568, 936, 513, 2603, 540, 5867, 267, 1357, 9858, 786, 1034, 2693, 1616, 547, 1628, 1357, 3817, 602, 616, 2938, 9001, 513, 2189, 2039, 540, 1949, 269, 1452, 3335, 4125, 6755, 267, 7392, 2183, 267, 543, 31418, 1176, 3560, 762, 7797, 28081, 618, 630, 14457, 1040, 4634, 1498, 1142, 543, 1169, 5748, 723, 741, 1378, 979, 883, 9949, 813, 2497, 267, 789, 949, 3442, 547, 1332, 741, 3896, 7311, 519, 1034, 5078, 813, 5888, 585, 10540, 1756, 269, 3509, 26767, 1205, 519, 2816, 2944, 3444, 3760, 789, 3132, 4950, 4609, 23622, 593, 3875, 2010, 269, 4856, 1676, 3301, 11144, 2337, 547, 2569, 17683, 1350, 9662, 543, 4679, 519, 1719, 2557, 540, 519, 3356, 2259, 563, 288, 3803, 2272, 538, 2121, 1439, 3593, 543, 1374, 1995, 11768, 568, 5493, 22863, 269, 5680, 3135, 9858, 3622, 8415, 3875, 4778, 538, 3384, 741, 4950, 7270, 269, 966, 2320, 656, 2681, 725, 786, 1419, 581, 13603, 856, 585, 4950, 4609, 2519, 593, 513, 7820, 15624, 2094, 789, 616, 1454, 4443, 547, 1224, 998, 269, 2859, 1950, 2681, 14565, 538, 1082, 2665, 616, 1031, 676, 7270, 17935, 585, 513, 2484, 811, 9921, 19458, 563, 2252, 596, 723, 1022, 28780, 17640, 547, 1141, 543, 875, 596, 666, 8415, 1357, 1374, 1608, 326, 776, 267, 596, 1223, 3346, 721, 693, 938, 1378, 1357, 2985, 563, 19675, 596, 581, 16994, 593, 519, 1543, 538, 713, 1543, 267, 2630, 616, 513, 1906, 811, 3817, 543, 9708, 609, 2147, 4930, 281, 0, 1432, 1281, 707, 1647, 1153, 1126, 1451, 693, 1153, 286, 2755, 1034, 540, 873, 1451, 2296, 543, 4569, 267, 1919, 616, 1114, 693, 5062, 5141, 842, 1442, 5664, 3427, 538, 7532, 23770, 269, 14520, 628, 17263, 6267, 693, 713, 1153, 616, 9001, 476, 274, 291, 23252, 547, 4308, 609, 1483, 8996, 2152, 563, 1103, 741, 2487, 1788, 29805, 8048, 519, 10158, 267, 519, 6267, 941, 2016, 519, 4305, 547, 948, 513, 1079, 4458, 6040, 1126, 269, 634, 1126, 729, 4535, 609, 918, 889, 13403, 4524, 563, 763, 1523, 585, 713, 1544, 782, 3323, 5484, 16026, 267, 1374, 543, 9781, 20131, 4718, 519, 513, 4979, 1126, 267, 2506, 5471, 339, 670, 2074, 21539, 269, 2701, 729, 693, 15535, 744, 3149, 523, 779, 634, 9839, 652, 962, 731, 476, 276, 298, 609, 1200, 1920, 269, 16026, 1767, 602, 646, 6444, 519, 3747, 602, 2576, 729, 1739, 1200, 609, 513, 9126, 8066, 519, 8708, 563, 14881, 2219, 267, 2048, 6546, 779, 1945, 602, 476, 274, 291, 8228, 543, 476, 277, 628, 17603, 1223, 9585, 865, 1200, 3237, 1810, 1406, 723, 547, 1246, 1200, 1472, 519, 2777, 782, 519, 942, 16224, 892, 1767, 16026, 563, 763, 1126, 779, 3158, 267, 22503, 662, 670, 2074, 21539, 267, 7150, 602, 6306, 689, 1200, 22420, 5868, 267, 519, 8004, 849, 814, 513, 3296, 540, 513, 2295, 563, 2108, 9515, 849, 609, 1200, 4719, 5868, 267, 19890, 267, 3357, 2059, 3368, 513, 2295, 269, 4706, 14523, 31129, 2451, 2295, 6794, 630, 30045, 9391, 1070, 892, 1200, 3158, 1767, 269, 968, 2005, 1175, 2501, 609, 513, 2370, 3063, 3937, 585, 721, 593, 513, 3232, 4493, 267, 1352, 779, 593, 5135, 476, 2190, 270, 278, 3034, 763, 3158, 5018, 602, 1352, 543, 519, 4651, 1419, 1747, 519, 5135, 13111, 538, 513, 9126, 543, 4163, 621, 1175, 827, 269, 1717, 267, 519, 7382, 568, 2597, 344, 543, 7182, 519, 8004, 779, 5191, 540, 3001, 1472, 11884, 676, 9887, 563, 2108, 10214, 3006, 952, 1352, 779, 1175, 1085, 17415, 543, 519, 5135, 568, 9361, 972, 543, 594, 1810, 1406, 917, 1352, 779, 1085, 17415, 594, 3580, 5873, 606, 2048, 25105, 685, 543, 594, 6557, 899, 267, 2048, 17764, 9493, 1695, 267, 594, 991, 547, 1847, 602, 585, 596, 16224, 892, 670, 2074, 21539, 1767, 269, 968, 2005, 786, 2731, 1450, 1200, 547, 2744, 602, 7115, 602, 1352, 6499, 547, 9787, 865, 21354, 3034, 9961, 519, 2898, 19496, 267, 519, 6267, 5249, 538, 6887, 8228, 267, 8888, 267, 6313, 741, 3631, 269, 1452, 616, 519, 3631, 602, 1131, 2285, 519, 476, 273, 4458, 6040, 1200, 5191, 563, 7197, 540, 519, 1053, 2813, 5135, 13111, 25963, 602, 2879, 760, 5196, 2506, 5471, 339, 779, 3802, 518, 563, 763, 476, 277, 628, 17263, 20131, 7150, 602, 519, 6267, 3576, 519, 1788, 12517, 267, 968, 516, 958, 3206, 827, 6128, 543, 519, 2257, 543, 1175, 3478, 547, 621, 543, 8888, 930, 2731, 6909, 1919, 3034, 1607, 2250, 11016, 267, 519, 6267, 5795, 741, 16493, 547, 670, 2074, 21539, 865, 1352, 666, 4584, 835, 547, 8415, 593, 2506, 5471, 339, 779, 3802, 518, 563, 1607, 568, 606, 11121, 1554, 585, 519, 6267, 269, 1358, 723, 4121, 513, 1272, 268, 1652, 517, 269, 634, 8004, 786, 1995, 513, 1272, 1689, 689, 1631, 593, 563, 17606, 729, 5863, 1373, 2111, 547, 948, 2576, 2223, 835, 540, 519, 1053, 1767, 269, 968, 8253, 1152, 3478, 519, 2069, 855, 1373, 2111, 547, 948, 2576, 609, 621, 1932, 3034, 291, 32713, 2829, 602, 646, 568, 4867, 10478, 585, 1010, 1739, 7291, 269, 1261, 5018, 789, 798, 513, 4195, 835, 1169, 19496, 269, 16026, 849, 2712, 2471, 3025, 538, 2486, 609, 606, 6644, 267, 547, 1205, 538, 5905, 609, 1864, 269, 0, 2791, 17551, 513, 4756, 547, 14574, 922, 2012, 543, 7907, 563, 2791, 946, 519, 3948, 454, 21132, 4087, 543, 9115, 2285, 513, 4756, 922, 7907, 563, 2690, 1344, 593, 875, 547, 1118, 2953, 4408, 267, 1294, 13207, 1563, 27100, 18780, 563, 26222, 543, 4759, 4632, 454, 288, 2199, 4756, 568, 513, 4756, 10294, 538, 513, 5650, 269, 589, 4759, 4756, 568, 513, 4759, 540, 513, 10294, 1826, 269, 1411, 17551, 621, 538, 9074, 9165, 269, 898, 666, 581, 513, 4759, 540, 513, 1362, 610, 2497, 267, 855, 711, 538, 513, 5650, 4835, 547, 602, 1362, 610, 2497, 563, 4537, 1563, 543, 3236, 4632, 454, 5719, 743, 2130, 1239, 1826, 454, 2026, 538, 519, 17083, 3948, 13071, 596, 2285, 519, 1239, 1826, 610, 1843, 1826, 540, 519, 10294, 4756, 563, 763, 15868, 2010, 1246, 912, 268, 1323, 10026, 1239, 1826, 27210, 268, 589, 12432, 1239, 1826, 630, 541, 7590, 543, 3889, 616, 1806, 994, 268, 1323, 1843, 1826, 610, 1362, 454, 268, 589, 16023, 454, 2791, 946, 519, 16083, 454, 1103, 538, 519, 17083, 3948, 547, 17551, 13735, 15304, 4632, 609, 513, 1644, 1770, 540, 2268, 563, 763, 4082, 1310, 454, 1103, 568, 2356, 513, 1770, 10294, 609, 519, 3948, 454, 3719, 621, 666, 849, 581, 513, 2596, 1770, 10294, 609, 454, 2791, 666, 17551, 1896, 4632, 538, 835, 3948, 609, 519, 1482, 1239, 1826, 269, 1809, 621, 568, 711, 2556, 547, 2328, 519, 1239, 1826, 811, 982, 835, 942, 269, 2368, 1806, 1246, 912, 262, 13207, 732, 1614, 8870, 4632, 269, 17435, 1775, 267, 795, 267, 737, 1306, 2271, 1412, 13207, 732, 835, 2527, 15492, 4756, 543, 1079, 13735, 15304, 4632, 269, 17435, 530, 769, 13532, 267, 1535, 267, 586, 1306, 7464, 454, 304, 783, 885, 540, 10294, 4632, 0, 2467, 616, 1906, 1919, 811, 32049, 585, 3237, 982, 741, 12322, 4358, 547, 5397, 269, 898, 779, 606, 3078, 942, 267, 855, 621, 666, 849, 581, 18447, 269, 1403, 707, 3214, 616, 3168, 4464, 547, 3478, 3297, 519, 8868, 267, 1934, 616, 930, 1283, 4388, 547, 948, 873, 5965, 563, 13729, 513, 1434, 1383, 454, 763, 1655, 3992, 596, 666, 4001, 3214, 602, 616, 3478, 4712, 547, 1376, 6117, 568, 547, 581, 513, 6297, 9920, 269, 5590, 513, 1434, 1383, 269, 5457, 602, 707, 7141, 786, 4585, 596, 950, 596, 5397, 269, 9796, 3007, 547, 519, 3652, 540, 519, 4155, 267, 2285, 824, 4155, 3755, 942, 543, 2230, 543, 581, 3461, 269, 13185, 547, 707, 1453, 827, 3106, 543, 519, 2956, 540, 705, 4575, 676, 519, 3652, 547, 2539, 4220, 269, 8347, 547, 536, 4314, 3983, 6208, 950, 707, 3214, 616, 538, 519, 1286, 543, 581, 13533, 602, 789, 786, 10110, 1344, 1247, 789, 7747, 596, 269, 1403, 596, 616, 513, 6297, 9920, 267, 972, 779, 513, 1434, 4960, 602, 707, 7141, 786, 1246, 538, 707, 3723, 25074, 563, 8340, 513, 5078, 6174, 454, 5278, 6472, 616, 1454, 811, 5078, 585, 15226, 10256, 982, 1866, 269, 1403, 596, 723, 513, 1360, 7199, 1286, 267, 707, 6174, 568, 593, 922, 2063, 7953, 267, 610, 596, 5397, 513, 1804, 610, 5230, 1286, 602, 3085, 1406, 723, 519, 5767, 3106, 2934, 267, 585, 1383, 267, 596, 949, 6999, 547, 2015, 9140, 610, 682, 2084, 513, 1286, 585, 707, 1126, 547, 1451, 269, 2422, 4930, 543, 13181, 10274, 899, 1346, 689, 4609, 899, 31611, 338, 547, 948, 596, 1265, 2306, 543, 3631, 602, 616, 4998, 585, 18051, 1182, 267, 3643, 4308, 619, 4721, 547, 1205, 10530, 543, 6582, 1449, 11479, 267, 543, 1491, 707, 942, 547, 9260, 909 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2417, 25967, 1681, 519, 13766, 540, 4396, 15679, 3157, 1369, 5959, 2853, 780, 2162, 11957, 540, 13229, 15679, 13756, 538, 15482, 23994, 692, 4415, 2810, 25036, 1996, 5959, 7426, 267, 7598, 2178, 15679, 4507, 814, 1831, 2565, 585, 1896, 4128, 1384, 2971, 28597, 26094, 692, 19931, 15679, 3252, 2327, 15984, 547, 5313, 267, 1533, 267, 543, 2199, 4074, 4031, 269, 1635, 4509, 4977, 9441, 5638, 267, 1739, 1697, 17849, 5773, 267, 3246, 16601, 5721, 902, 267, 543, 5466, 9036, 7526, 16425, 267, 5959, 2853, 7413, 519, 10171, 540, 1875, 1260, 20869, 269, 1280, 3236, 267, 4180, 2953, 12032, 540, 4813, 594, 268, 280, 6971, 519, 7872, 540, 6849, 646, 11998, 22717, 13684, 676, 26790, 543, 31654, 1682, 2037, 7593, 630, 21201, 1040, 6684, 267, 735, 2391, 609, 29482, 6369, 4170, 2337, 2226, 2318, 3347, 609, 5520, 945, 2154, 6905, 3762, 1813, 547, 2123, 610, 1920, 1072, 6927, 780, 2971, 11485, 14600, 12720, 692, 21659, 755, 15679, 2853, 4196, 607, 513, 23833, 2268, 267, 4227, 519, 8458, 540, 7199, 1396, 580, 725, 16109, 689, 29832, 745, 660, 1194, 5520, 610, 9431, 8041, 269, 11109, 2312, 2816, 11673, 267, 2773, 6268, 7355, 267, 543, 1134, 268, 10919, 5344, 2754, 4507, 11081, 13509, 3823, 6788, 543, 4539, 585, 13817, 2265, 269, 5015, 267, 10647, 9488, 4282, 11974, 543, 3075, 9584, 1354, 14139, 1007, 5234, 2818, 24024, 8320, 1141, 18621, 550, 554, 2231, 1522, 16616, 519, 2259, 547, 11991, 20824, 780, 2971, 4518, 6503, 28290, 692, 8505, 558, 908, 16625, 4247, 998, 15679, 3301, 6908, 6050, 4238, 267, 5355, 2949, 4398, 269, 11588, 7245, 267, 942, 15209, 267, 20343, 9477, 267, 543, 2773, 20241, 666, 782, 581, 7307, 3842, 3593, 7888, 5867, 269, 31035, 689, 9494, 3407, 942, 543, 2200, 267, 12747, 1949, 2569, 8261, 6959, 543, 1683, 2653, 10333, 547, 2556, 6054, 269, 9182, 267, 5959, 2853, 4324, 689, 2799, 7607, 2157, 543, 4824, 3375, 6194, 7207, 1759, 593, 6325, 1239, 4030, 780, 2971, 13669, 550, 4825, 1549, 692, 2026, 12006, 4505, 267, 19788, 1283, 13007, 538, 2221, 781, 8013, 3782, 5251, 13514, 2591, 267, 2523, 2016, 519, 5571, 6855, 269, 20074, 7580, 15679, 7341, 6087, 5959, 2853, 547, 11677, 2298, 10986, 267, 5807, 513, 7123, 2324, 1604, 269, 5510, 1359, 8013, 13180, 15004, 267, 5009, 960, 3734, 3666, 267, 9301, 10781, 267, 543, 14637, 5578, 1646, 998, 2866, 3255, 3986, 9441, 9547, 543, 14017, 269, 11086, 267, 4389, 24826, 3928, 3565, 9797, 2509, 5812, 3461, 1416, 6765, 543, 20656, 780, 1103, 3932, 267, 10128, 7347, 15679, 3252, 883, 5959, 2853, 11438, 3160, 4644, 607, 17516, 4731, 335, 15462, 6142, 269, 9717, 519, 21318, 540, 2640, 6508, 689, 2500, 15679, 2994, 1107, 1519, 8476, 10220, 267, 1981, 17846, 267, 10512, 31931, 267, 543, 13007, 12802, 1107, 5959, 4648, 1590, 2015, 29103, 1359, 741, 15679, 5989, 7258, 16565, 4731, 335, 15462, 3795, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1432, 5689, 335, 15462, 15928, 6496, 333, 1406, 15147, 281, 634, 8779, 540, 15679, 27190, 1389, 538, 519, 15482, 12752, 454, 2791, 9327, 1406, 2479, 7500, 607, 513, 4387, 610, 11290, 1510, 4731, 335, 15462, 6142, 267, 855, 9118, 5959, 2853, 2443, 2523, 4130, 4357, 2853, 2443, 7500, 1510, 513, 6131, 1480, 2200, 2319, 269, 898, 779, 1175, 607, 19408, 563, 12441, 596, 917, 602, 811, 982, 476, 2004, 260, 540, 9439, 786, 581, 3957, 538, 513, 5959, 4731, 335, 15462, 2013, 538, 519, 772, 2529, 269, 936, 519, 1576, 540, 741, 11678, 286, 1548, 779, 1175, 607, 31417, 286, 589, 2582, 29482, 6369, 18670, 1223, 1942, 707, 2259, 909, 547, 1269, 3199, 267, 1822, 543, 3274, 25937, 606, 594, 268, 280, 1106, 27235, 1223, 1267, 538, 513, 1269, 273, 267, 28590, 5386, 563, 2080, 616, 1614, 1883, 4128, 596, 991, 513, 6131, 1480, 2200, 3301, 547, 2087, 10220, 267, 2057, 22717, 267, 543, 25117, 32262, 269, 898, 779, 607, 1271, 607, 4731, 335, 15462, 6142, 563, 16281, 29452, 4825, 664, 13669, 550, 538, 19239, 3588, 454, 2005, 779, 513, 2241, 1249, 2443, 1390, 267, 11727, 13007, 538, 25185, 568, 2182, 547, 1265, 267, 2523, 538, 513, 2022, 4211, 302, 4668, 268, 866, 1158, 269, 634, 13163, 540, 8534, 10803, 9193, 602, 476, 10711, 267, 10384, 811, 5740, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 5689, 335, 15462, 1315, 15482, 5689, 335, 15462, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 917, 1018, 513, 737, 12685, 328, 568, 888, 298, 12685, 328, 616, 8184, 1652, 5017, 21049, 547, 1715, 10215, 269, 27051, 519, 2450, 540, 513, 9269, 267, 737, 12685, 328, 616, 676, 2484, 519, 10545, 2713, 3731, 2572, 610, 8184, 1652, 5017, 269, 918, 12685, 604, 8816, 568, 519, 17580, 10874, 787, 540, 1896, 2249, 540, 29762, 30676, 269, 634, 1034, 1455, 1895, 540, 737, 12685, 604, 8816, 568, 24814, 267, 827, 519, 2450, 540, 513, 1804, 18911, 781, 4212, 563, 18794, 5981, 320, 12226, 454, 20055, 1118, 5981, 320, 21273, 543, 2671, 707, 1702, 609, 519, 1158, 4041, 27073, 27749, 0, 22432, 9215, 18292, 654, 7644, 5058, 667, 8656, 16165, 4456, 454, 6635, 18003, 30594, 281, 18237, 719, 267, 16530, 12810, 543, 14691, 454, 15037, 476, 2767, 267, 476, 1708, 272, 303, 514, 7089, 270, 11243, 281, 18237, 21145, 281, 18237, 13517, 281, 15550, 267, 476, 274, 267, 476, 276, 309, 267, 717, 21254, 5295, 281, 15550, 281, 634, 3403, 6453, 547, 20798, 4604, 950, 621, 568, 1210, 606, 5007, 1379, 2707, 476, 276, 309, 281, 901, 8930, 17016, 513, 14931, 476, 276, 309, 689, 519, 26273, 593, 519, 4604, 269, 476, 274, 281, 2052, 581, 1031, 547, 1379, 824, 5007, 3334, 799, 946, 513, 476, 274, 4276, 717, 21254, 281, 16140, 20382, 281, 1022, 540, 799, 666, 581, 1031, 547, 454, 1692, 547, 5358, 519, 5254, 300, 3953, 834, 23325, 30346, 257, 609, 20798, 9517, 292, 910, 631, 6033, 454, 19878, 476, 6187, 267, 476, 1001, 280, 1103, 713, 2376, 267, 594, 786, 1397, 596, 875, 547, 1305, 909, 519, 5254, 300, 3953, 609, 20798, 9517, 292, 543, 1397, 596, 875, 547, 2047, 1982, 689, 519, 18292, 772, 11286, 9074, 269, 1323, 11137, 540, 519, 5254, 300, 3953, 834, 23325, 30346, 257, 1403, 596, 1491, 513, 1413, 693, 713, 1269, 273, 29668, 518, 267, 835, 540, 519, 1101, 1919, 596, 1294, 616, 922, 795, 32658, 20382, 267, 799, 616, 1031, 547, 960, 609, 519, 9949, 2475, 11286, 18849, 4452, 518, 563, 6635, 18003, 910, 4039, 599, 1923, 20798, 20861, 454, 9596, 875, 547, 946, 20794, 609, 20798, 267, 875, 20794, 1568, 267, 875, 547, 1921, 20794, 547, 20798, 267, 875, 547, 3009, 585, 20794, 267, 875, 547, 1982, 20798, 1900, 676, 1900, 269, 634, 1469, 6044, 267, 3009, 267, 11443, 6516, 267, 3381, 5850, 267, 1899, 8386, 11060, 3009, 7778, 616, 3177, 547, 948, 596, 3533, 1205, 3323, 609, 20798, 269, 4855, 713, 543, 824, 20798, 18862, 593, 20798, 7476, 9359, 539, 563, 2464, 303, 279, 2918, 277, 14606, 7720, 626, 675, 32190, 2060, 20798, 9517, 292, 910, 26189, 1963, 454, 1607, 1259, 267, 519, 7509, 9074, 18795, 8799, 543, 22619, 344, 18284, 519, 661, 9915, 279, 2918, 277, 269, 594, 2759, 930, 795, 32658, 5911, 547, 3259, 543, 4421, 1229, 519, 20382, 540, 519, 7509, 9074, 547, 519, 3617, 20382, 540, 519, 20927, 1210, 519, 795, 32658, 5911, 547, 1118, 519, 4296, 269, 6744, 519, 3105, 3694, 4580, 14764, 1900, 585, 519, 11443, 6516, 630, 821, 540, 519, 6337, 1916, 763, 6651, 547, 15775, 519, 20389, 288, 595, 762, 1358, 10261, 27818, 1708, 271, 910, 1849, 7112, 454, 9802, 476, 2767, 267, 476, 1708, 272, 288, 11443, 10244, 10250, 1464, 1982, 568, 513, 3301, 602, 5638, 543, 13475, 519, 1344, 540, 1142, 1367, 5911, 538, 606, 10814, 568, 606, 21091, 20000, 22997, 3044, 2780, 1668, 8818, 269, 589, 20389, 288, 10814, 13462, 513, 3984, 1668, 3082, 528, 899, 513, 3993, 4580, 547, 2527, 4859, 3457, 899, 9804, 11479, 267, 2182, 12210, 11479, 267, 543, 4396, 15581, 11479, 454, 25413, 2264, 1923, 20798, 454, 6635, 18003, 9517, 292, 476, 272, 269, 279, 269, 634, 1930, 21299, 20798, 12229, 630, 22432, 264, 2306, 621, 2653, 547, 2328, 3009, 543, 14202, 621, 547, 519, 4604, 269, 901, 3301, 666, 581, 1031, 609, 1022, 20798, 4604, 269, 28582, 547, 519, 15775, 29035, 2985, 585, 12305, 566, 5528, 269, 590, 21788, 4753, 2910, 14701, 269, 15765, 1646, 540, 519, 20798, 3301, 568, 18799, 676, 27707, 29878, 269, 6423, 519, 5528, 585, 2679, 519, 3009, 563, 9596, 32017, 609, 20798, 9517, 292, 1700, 476, 275, 32693, 476, 278, 21540, 618, 10896, 18224, 454, 13971, 476, 5400, 267, 476, 1001, 278, 4785, 289, 595, 762, 1535, 476, 272, 282, 7193, 1535, 476, 272, 282, 12229, 269, 20798, 9517, 292, 630, 11437, 476, 272, 269, 277, 269, 275, 266, 264, 634, 11443, 1063, 519, 476, 275, 18251, 476, 278, 5498, 8540, 4159, 543, 519, 744, 810, 344, 5622, 9978, 4604, 568, 607, 3254, 2630, 281, 1306, 596, 666, 1294, 538, 519, 6516, 649, 616, 1210, 606, 15096, 3957, 476, 10619, 18449, 276, 4817, 538, 1840, 547, 744, 12569, 312, 302, 302, 9978, 4604, 543, 476, 275, 7857, 5722, 10126, 4159, 269, 476, 10619, 18449, 276, 4817, 1107, 568, 513, 6521, 11578, 15096, 543, 621, 454, 6635, 18003, 23905, 5788, 27707, 29878, 454, 8450, 7711, 541, 18003, 585, 519, 2645, 630, 22432, 267, 14160, 296, 907, 264, 543, 3388, 3116, 910, 20798, 23905, 1547, 901, 610, 326, 3568, 519, 4013, 20798, 23905, 269, 6423, 7711, 541, 18003, 585, 519, 2645, 630, 22432, 267, 14160, 296, 907, 264, 543, 3388, 3116, 910, 20798, 23905, 1547, 589, 631, 2839, 296, 5399, 936, 18292, 267, 1759, 593, 623, 1663, 1375, 762, 4785, 289, 595, 10030, 476, 27628, 476, 4281, 8496, 326, 19213, 288, 295, 11965, 5398, 269, 20798, 6388, 540, 519, 8496, 326, 19213, 288, 295, 11965, 454, 2464, 303, 279, 2918, 277, 12213, 12619, 609, 20798, 9517, 292, 630, 11966, 10157, 308, 264, 910, 15932, 454, 19878, 476, 3066, 267, 476, 1001, 280, 2414, 2322, 519, 661, 9915, 279, 2918, 277, 538, 2620, 3207, 7154, 267, 946, 11536, 4916, 2748, 26086, 306, 264, 543, 1780, 607, 4661, 3207, 942, 538, 2890, 572, 6948, 269, 13382, 22473, 476, 1626, 1590, 581, 4448, 547, 19268, 630, 305, 4306, 264, 8930, 865, 519, 661, 9915, 279, 2918, 277, 568, 2111, 547, 12687, 909, 269, 1677, 2322, 519, 661, 9915, 279, 2918, 277, 538, 2620, 3207, 7154, 585, 606, 22543, 9548, 1974, 540, 942, 946, 11536, 4916, 2748, 263, 271, 264, 661, 9915, 279, 2918, 277, 786, 12687, 909, 950, 519, 681, 4306, 8930, 11392, 513, 700, 8582, 454, 1692, 547, 946, 513, 29968, 4580, 585, 30488, 286, 16530, 267, 18065, 267, 20798, 454, 13202, 476, 6187, 267, 476, 1708, 271, 288, 3694, 4580, 568, 513, 1151, 1457, 1652, 4070, 3490, 1031, 585, 3384, 606, 5907, 5547, 543, 11443, 585, 3785, 609, 29668, 518, 12545, 899, 20798, 269, 901, 476, 276, 309, 261, 274, 3694, 4580, 1379, 3761, 2882, 513, 2890, 268, 4785, 289, 2823, 543, 1379, 1411, 666, 4625, 30337, 519, 11768, 540, 519, 5547, 855, 1739, 519, 3694, 4580, 6516, 4010, 568, 519, 0, 1432, 568, 538, 4819, 779, 6437, 888, 763, 4819, 779, 6437, 568, 513, 1187, 543, 3728, 533, 3166, 6437, 602, 26779, 3381, 3450, 267, 23963, 2966, 5751, 267, 543, 1585, 1187, 3756, 543, 2238, 563, 763, 9537, 344, 12243, 454, 287, 322, 664, 648, 11035, 910, 2462, 10178, 936, 1934, 2336, 4415, 9537, 344, 267, 1053, 616, 7722, 998, 513, 3099, 540, 13708, 1881, 4245, 538, 799, 789, 7118, 12587, 267, 909, 741, 3014, 4567, 267, 543, 960, 2509, 2688, 3853, 269, 1358, 1628, 741, 1378, 1285, 520, 1513, 543, 2259, 17511, 998, 1187, 267, 7317, 4245, 269, 3958, 267, 519, 1982, 3082, 338, 547, 1142, 15226, 267, 865, 1100, 2875, 2479, 9060, 2933, 609, 4245, 1932, 2653, 610, 1932, 2352, 269, 898, 5654, 543, 7959, 865, 2147, 547, 513, 2780, 3014, 602, 519, 3214, 1522, 7340, 789, 2461, 2324, 2336, 20694, 630, 763, 1234, 19960, 1441, 15858, 11819, 264, 0, 14722, 693, 19109, 9369, 5441, 4659, 540, 16353, 4675, 15533, 3163, 723, 1336, 513, 6216, 1007, 12440, 7623, 602, 1522, 581, 5363, 607, 513, 1071, 26476, 269, 3281, 2432, 267, 5219, 547, 607, 4874, 2135, 2210, 531, 919, 267, 799, 723, 513, 2462, 17285, 12547, 2527, 602, 4163, 513, 16160, 1942, 269, 1358, 2461, 4362, 782, 936, 519, 1747, 267, 689, 17617, 597, 1023, 547, 22507, 762, 9075, 543, 8755, 1121, 514, 4593, 775, 4559, 563, 763, 6216, 1007, 3625, 7623, 568, 18038, 344, 1675, 728, 630, 9391, 321, 302, 296, 264, 799, 568, 16613, 267, 1317, 621, 13408, 7372, 9797, 9901, 6887, 269, 1924, 548, 569, 513, 19625, 540, 1346, 9797, 9901, 12440, 7135, 723, 1044, 4362, 543, 6594, 563, 763, 3119, 17285, 12547, 1895, 729, 1336, 538, 476, 9264, 277, 269, 4595, 1287, 267, 2447, 1235, 723, 24704, 6266, 540, 540, 7135, 9001, 11874, 9901, 6887, 267, 799, 723, 3601, 5363, 538, 11275, 1143, 267, 3032, 4519, 267, 25617, 26634, 267, 5214, 5301, 267, 543, 7061, 9623, 269, 4706, 3601, 1118, 621, 5363, 538, 3833, 513, 2603, 540, 4610, 689, 3032, 4519, 547, 6646, 543, 3114, 10282, 563, 1103, 2487, 2053, 267, 3744, 723, 10704, 741, 7156, 593, 13754, 1944, 7135, 609, 9797, 9901, 6887, 543, 4974, 741, 3601, 563, 298, 720, 344, 4821, 543, 1010, 26393, 681, 14623, 589, 2041, 4362, 513, 16268, 1895, 676, 5506, 269, 4595, 476, 1001, 277, 267, 519, 476, 273, 3744, 2443, 918, 720, 344, 4821, 267, 513, 4396, 15581, 2447, 626, 543, 589, 2041, 267, 513, 18463, 2447, 626, 2443, 723, 1044, 593, 513, 1391, 547, 1020, 1007, 7135, 602, 949, 1491, 909, 2938, 7646, 585, 2584, 739, 574, 1637, 269, 1358, 723, 1044, 4466, 856, 513, 6219, 5627, 20841, 630, 306, 321, 1547, 1040, 275, 320, 276, 5141, 273, 264, 7623, 543, 2119, 547, 6467, 519, 20841, 11046, 609, 22752, 563, 2108, 32701, 267, 513, 6216, 1007, 2326, 729, 5833, 602, 729, 19039, 569, 11207, 1114, 689, 1018, 649, 1185, 19451, 569, 17191, 2223, 3081, 918, 720, 344, 4821, 563, 1432, 519, 3744, 17191, 568, 513, 6219, 609, 476, 2420, 8444, 538, 513, 1770, 1591, 269, 1548, 789, 4607, 607, 513, 12990, 729, 513, 7623, 609, 476, 8517, 8444, 538, 922, 1591, 563, 4263, 1101, 267, 3744, 723, 1044, 8572, 547, 19586, 519, 4070, 540, 519, 3114, 269, 589, 6671, 1935, 5219, 547, 607, 8869, 2473, 11920, 32250, 8959, 950, 21947, 609, 519, 6988, 540, 519, 5958, 269, 589, 29757, 2663, 267, 918, 720, 344, 4821, 2219, 646, 1522, 946, 476, 274, 291, 6475, 29821, 267, 513, 5969, 12967, 6475, 22794, 1935, 602, 1185, 711, 1932, 1279, 3516, 6591, 7156, 607, 513, 3301, 585, 9196, 519, 4070, 540, 5946, 269, 634, 3744, 14059, 3203, 655, 2806, 752, 636, 990, 543, 808, 5803, 16874, 1069, 2335, 540, 519, 5441, 540, 4165, 4546, 335, 267, 19934, 267, 547, 960, 593, 519, 4070, 269, 1656, 2899, 789, 3523, 2209, 590, 2056, 519, 1344, 1586, 267, 519, 3744, 723, 1044, 20938, 547, 1294, 7372, 13421, 563, 21206, 8047, 960, 9672, 602, 519, 18038, 344, 1675, 728, 11140, 13408, 15755, 22571, 267, 799, 568, 1898, 538, 3032, 4519, 563, 22154, 6602, 1522, 1930, 909, 1007, 1761, 885, 1369, 519, 1374, 540, 4396, 15581, 27857, 2223, 3081, 918, 720, 344, 4821, 563, 19853, 960, 786, 4440, 581, 9102, 538, 2257, 3356, 563, 312, 25431, 20242, 534, 23042, 1696, 620, 267, 4165, 574, 3415, 12547, 1895, 1617, 529, 17567, 547, 15755, 22571, 267, 2257, 3356, 630, 1708, 273, 1040, 20396, 281, 476, 1015, 269, 12208, 277, 1315, 1414, 611, 341, 269, 629, 332, 276, 4391, 280, 269, 8940, 4732, 7220, 3820, 270, 8742, 270, 1015, 269, 12208, 277, 4882, 857, 611, 341, 269, 629, 332, 276, 4391, 280, 454, 1492, 10839, 281, 12207, 676, 8009, 10625, 16613, 12440, 7623, 630, 1708, 273, 267, 4873, 476, 1704, 264, 8158, 4873, 476, 1240, 267, 476, 1708, 273, 689, 4179, 2517, 31850, 3820, 270, 15574, 270, 1708, 273, 268, 6187, 1606, 2615, 1235, 5498, 16781, 760, 527, 3585, 268, 571, 516, 12641, 13831, 16327, 895, 11258, 454, 1607, 2703, 568, 1888, 547, 10677, 269, 1717, 1022, 5168, 995, 7231, 585, 519, 2832, 540, 2123, 4983, 610, 2079, 267, 1100, 3368, 1223, 849, 581, 25735, 609, 856, 2854, 10479, 269, 634, 1543, 1570, 568, 6035, 585, 21141, 3252, 9003, 269, 0, 1103, 25691, 543, 4761, 1599, 616, 3905, 3584, 269, 3767, 811, 982, 2479, 621, 568, 1898, 547, 5818, 707, 454, 14545, 1062, 543, 581, 607, 2635, 607, 2009, 563, 3963, 568, 6553, 513, 1966, 888, 32247, 6553, 543, 4057, 12046, 616, 519, 2014, 540, 865, 1082, 1072, 2152, 269, 2755, 649, 1419, 454, 817, 1539, 622, 6553, 609, 12263, 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 ]
[ 0, 258, 24042, 281, 538, 332, 583, 14456, 267, 2520, 867, 6339, 324, 23205, 613, 13153, 13096, 523, 454, 258, 512, 815, 630, 272, 267, 476, 273, 267, 476, 274, 994, 258, 1820, 6025, 994, 258, 1820, 263, 6943, 6025, 4917, 258, 513, 815, 15044, 6025, 994, 258, 1820, 263, 6943, 5416, 4917, 258, 1820, 5416, 2020, 258, 1820, 6025, 314, 272, 7481, 258, 579, 815, 630, 272, 267, 476, 273, 267, 1496, 274, 267, 476, 275, 267, 476, 276, 7481, 258, 1820, 26086, 994, 258, 1948, 589, 19816, 2426, 256, 7638, 7564, 837, 321, 732, 27100, 324, 708, 512, 2544, 521, 785, 2357, 7564, 837, 8663, 454, 258, 579, 314, 273, 4940, 16647, 4590, 258, 1820, 26086, 2020, 258, 555, 626, 340, 921, 815, 9497, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 2580, 834, 528, 1052, 5602, 258, 1820, 263, 628, 626, 340, 921, 994, 258, 1820, 263, 628, 626, 340, 921, 314, 273, 281, 276, 20285, 258, 1820, 263, 573, 263, 628, 626, 340, 921, 11723, 258, 512, 815, 630, 272, 2020, 320, 815, 3403, 2891, 294, 756, 8272, 552, 710, 2098, 22844, 281, 19515, 321, 815, 3403, 2891, 294, 756, 8272, 15191, 345, 339, 5884, 1990, 933, 924, 2098, 22844, 281, 19515, 604, 513, 3436, 536, 912, 825, 513, 267, 536, 815, 536, 267, 513, 1948, 1873, 777, 454, 2745, 3488, 291, 773, 1989, 7238, 338, 572, 516, 2098, 22844, 561, 2246, 564, 795, 539, 523, 17517, 281, 22207, 536, 994, 0, 3698, 30775, 318, 6572, 3287, 2187, 825, 586, 815, 1412, 6572, 7055, 825, 1535, 6910, 12169, 994, 825, 2132, 1535, 692, 343, 815, 18358, 14140, 318, 9826, 23300, 2745, 3488, 343, 815, 22207, 1535, 267, 1412, 282, 7329, 815, 22207, 7329, 3287, 1070, 1412, 282, 1826, 815, 22207, 1826, 3287, 4917, 2745, 3488, 21228, 21228, 1693, 13090, 17210, 325, 15635, 318, 6572, 3287, 2020, 2745, 3488, 343, 815, 22207, 1535, 267, 1412, 282, 7329, 815, 22207, 7329, 3287, 1070, 1412, 282, 1826, 815, 22207, 1826, 3287, 4917, 2745, 3488, 343, 815, 22207, 1535, 267, 1412, 282, 7329, 815, 22207, 7329, 3287, 1070, 1412, 282, 1826, 815, 22207, 1826, 3287, 4297, 0, 258, 661, 706, 731, 692, 6112, 6936, 912, 825, 530, 677, 815, 3403, 3488, 30531, 974, 546, 553, 6478, 552, 16636, 17754, 281, 30386, 825, 952, 530, 677, 18994, 323, 13424, 10031, 1038, 1820, 2891, 4226, 974, 562, 584, 654, 23152, 614, 552, 16636, 17754, 256, 19515, 825, 3116, 912, 1038, 2736, 692, 6112, 6936, 912, 825, 737, 4861, 1588, 815, 3403, 3488, 30531, 974, 5884, 918, 4861, 1588, 552, 16636, 17754, 281, 30386, 825, 952, 737, 4861, 1588, 18994, 323, 13424, 10031, 1038, 1820, 2891, 4226, 974, 562, 584, 29246, 560, 629, 523, 552, 16636, 17754, 256, 19515, 825, 3116, 912, 1038, 2736, 692, 342, 677, 815, 1305, 26028, 677, 994, 330, 4861, 1588, 815, 1305, 17347, 4861, 1588, 2020, 10235, 16818, 529, 815, 530, 677, 269, 5793, 7611, 17347, 4861, 1588, 2020, 2745, 2891, 6943, 530, 677, 815, 14307, 1826, 26028, 677, 4917, 2745, 2891, 6943, 530, 677, 815, 14307, 1826, 17347, 4861, 1588, 11723, 2745, 2891, 342, 677, 815, 14307, 530, 677, 267, 834, 330, 4861, 1588, 815, 14307, 737, 4861, 1588, 2020, 2745, 2891, 2144, 613, 16818, 529, 815, 14307, 2144, 613, 16818, 529, 2020, 0, 3698, 568, 318, 2158, 3799, 318, 2158, 267, 3283, 8217, 2187, 825, 8173, 825, 17776, 6936, 952, 538, 3283, 8217, 568, 562, 318, 2158, 1985, 547, 1142, 824, 543, 8771, 952, 3085, 1405, 454, 825, 2433, 12407, 562, 318, 2158, 912, 825, 2433, 12407, 3283, 8217, 912, 825, 2433, 8873, 281, 645, 944, 454, 825, 29185, 825, 1024, 815, 630, 8999, 263, 2158, 8217, 5157, 281, 328, 266, 333, 318, 2158, 8079, 585, 1775, 538, 2039, 12759, 263, 2158, 8217, 4297, 2020, 825, 585, 3693, 538, 1024, 912, 1038, 952, 3693, 2652, 562, 318, 2158, 912, 2018, 2132, 6936, 692, 825, 2132, 8771, 7531, 3698, 1292, 10031, 825, 9949, 8217, 815, 1496, 271, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 825, 562, 318, 2158, 815, 703, 9272, 2891, 1692, 1082, 3283, 568, 1985, 547, 1142, 824, 286, 2433, 27328, 825, 1820, 6600, 24679, 781, 2715, 529, 318, 2158, 3799, 318, 2158, 267, 9949, 8217, 14587, 257, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 258, 256, 31756, 24800, 270, 7090, 274, 454, 12163, 17572, 2012, 281, 4266, 7272, 1157, 518, 18258, 454, 12041, 281, 29312, 17029, 532, 454, 14630, 2813, 281, 476, 1556, 270, 2764, 270, 1001, 279, 454, 14630, 2063, 9168, 281, 476, 6860, 270, 1015, 270, 1001, 280, 454, 23911, 19405, 281, 476, 274, 269, 277, 269, 274, 692, 1607, 9074, 1058, 948, 547, 6023, 4626, 652, 10102, 563, 2252, 596, 616, 5432, 609, 519, 18869, 14474, 689, 30220, 610, 942, 946, 713, 5399, 780, 20701, 5228, 3710, 1231, 1104, 1401, 4003, 454, 5228, 30220, 1104, 30220, 607, 24303, 454, 5228, 30220, 1104, 31764, 12265, 454, 5228, 11706, 1104, 3923, 9792, 692, 24629, 12173, 815, 27210, 825, 1412, 13202, 3299, 1412, 15037, 3299, 1412, 11321, 3299, 1412, 14257, 22779, 825, 1412, 300, 2967, 3299, 1412, 21801, 3299, 1412, 19878, 3299, 1412, 13971, 22779, 825, 1412, 20225, 3299, 1412, 302, 19241, 3299, 1412, 22261, 3299, 1412, 5719, 345, 5073, 25321, 4306, 318, 306, 7968, 815, 1412, 307, 262, 7531, 5035, 7033, 652, 2086, 912, 825, 5727, 901, 1362, 2337, 547, 6023, 4626, 652, 10102, 538, 606, 568, 334, 8971, 780, 825, 634, 1362, 7833, 519, 2409, 9944, 543, 1058, 581, 2653, 547, 1174, 563, 825, 2201, 519, 6724, 1582, 6745, 574, 652, 2086, 318, 11034, 543, 1582, 6745, 574, 652, 2086, 318, 754, 596, 666, 946, 454, 825, 519, 3252, 540, 30220, 6155, 520, 8135, 780, 825, 29185, 825, 6449, 16435, 1824, 1029, 815, 18358, 339, 574, 652, 2086, 318, 11034, 3299, 1412, 339, 574, 652, 2086, 318, 754, 3299, 1412, 31078, 3299, 1412, 638, 6621, 262, 6540, 825, 1219, 6449, 8181, 9191, 454, 2018, 1582, 267, 1376, 267, 1439, 267, 12732, 22561, 2676, 2018, 10116, 22561, 2187, 1038, 5727, 22873, 658, 1125, 519, 1362, 4626, 652, 2086, 780, 1038, 2433, 12407, 1376, 281, 634, 1376, 4266, 540, 519, 942, 1606, 3966, 454, 1038, 2433, 12407, 1439, 281, 634, 1439, 4266, 540, 519, 942, 1606, 3966, 454, 1038, 2433, 12407, 12732, 281, 1101, 610, 2034, 3368, 540, 519, 1032, 267, 952, 2016, 3116, 7183, 454, 1038, 2433, 12407, 10116, 281, 10116, 540, 519, 1032, 267, 952, 2016, 3116, 7183, 692, 1038, 2433, 6943, 1376, 281, 30220, 6155, 520, 8135, 4590, 1038, 2433, 6943, 1439, 281, 30220, 6155, 520, 8135, 4590, 1038, 2433, 6943, 12732, 281, 703, 454, 1038, 2433, 6943, 10116, 281, 703, 692, 1038, 8173, 1038, 952, 1376, 3436, 1439, 912, 2018, 1582, 6745, 574, 652, 2086, 318, 11034, 815, 1439, 454, 2018, 1582, 6745, 574, 652, 2086, 318, 754, 815, 1376, 454, 1038, 3116, 912, 2018, 1582, 6745, 574, 652, 2086, 318, 11034, 815, 1376, 454, 2018, 1582, 6745, 574, 652, 2086, 318, 754, 815, 1439, 454, 1038, 1582, 4732, 3966, 815, 12732, 454, 1038, 1582, 269, 638, 6621, 815, 10116, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 5727, 13528, 9643, 522, 1575, 583, 540, 1376, 543, 1439, 942, 780, 1038, 14474, 281, 1412, 260, 312, 268, 260, 332, 268, 260, 323, 307, 260, 295, 281, 260, 300, 281, 260, 306, 267, 4939, 312, 268, 260, 332, 268, 260, 323, 307, 260, 295, 281, 260, 300, 260, 306, 28847, 1038, 29185, 1038, 2132, 1582, 269, 11034, 3890, 1341, 1412, 10086, 1341, 1582, 269, 754, 10797, 825, 1219, 6449, 5417, 9191, 1345, 267, 824, 2187, 1038, 5727, 3849, 1091, 3764, 547, 519, 4626, 652, 2086, 318, 11034, 543, 4626, 652, 2086, 318, 754, 780, 1038, 2878, 306, 3966, 543, 22588, 786, 547, 711, 581, 973, 531, 1529, 622, 12533, 1038, 2433, 12407, 824, 281, 3764, 547, 1039, 454, 1038, 2433, 8873, 281, 4626, 652, 2086, 454, 1038, 8173, 1038, 1376, 815, 1582, 6745, 574, 652, 2086, 318, 11034, 1341, 31764, 12265, 263, 2381, 2373, 284, 1278, 994, 1038, 1439, 815, 1582, 6745, 574, 652, 2086, 318, 754, 1341, 31764, 12265, 263, 2381, 2373, 284, 1278, 994, 1038, 1948, 547, 4777, 6449, 11357, 1029, 281, 973, 531, 27218, 540, 519, 12732, 543, 10116, 454, 1038, 2132, 7033, 652, 2086, 263, 11034, 267, 1439, 267, 1582, 4732, 3966, 267, 1582, 269, 638, 6621, 2020, 825, 1219, 6449, 11357, 9191, 1345, 267, 824, 2187, 1038, 5727, 8138, 339, 847, 338, 3764, 689, 519, 4626, 652, 2086, 318, 11034, 543, 4626, 652, 2086, 318, 754, 780, 1038, 2878, 306, 3966, 543, 22588, 786, 547, 711, 581, 973, 531, 1529, 622, 12533, 1038, 2433, 12407, 824, 281, 3764, 547, 2655, 847, 454, 1038, 2433, 8873, 281, 4626, 652, 2086, 454, 1038, 8173, 1038, 1376, 815, 1582, 6745, 574, 652, 2086, 318, 11034, 910, 31764, 12265, 263, 2381, 2373, 284, 1278, 994, 1038, 1439, 815, 1582, 6745, 574, 652, 2086, 318, 754, 910, 31764, 12265, 263, 2381, 2373, 284, 1278, 994, 1038, 1948, 547, 4777, 6449, 11357, 1029, 281, 973, 531, 27218, 540, 519, 12732, 543, 10116, 454, 1038, 2132, 7033, 652, 2086, 263, 11034, 267, 1439, 267, 1582, 4732, 3966, 267, 1582, 269, 638, 6621, 2020, 825, 1219, 6449, 3438, 9191, 1345, 2187, 1038, 6556, 1412, 339, 574, 652, 2086, 9359, 3299, 1582, 269, 11034, 4590, 1038, 6556, 1412, 339, 574, 652, 2086, 17484, 3299, 1582, 269, 754, 10797, 825, 1219, 6449, 2741, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 7033, 652, 2086, 2187, 2018, 1948, 1810, 1405, 3801, 547, 5635, 1996, 20775, 2010, 454, 2018, 2132, 3502, 25363, 7757, 454, 1038, 2132, 1582, 6745, 574, 652, 2086, 318, 11034, 2999, 824, 6745, 574, 652, 2086, 318, 11034, 543, 1582, 6745, 574, 652, 2086, 318, 754, 2999, 824, 6745, 574, 652, 2086, 318, 754, 692, 825, 1219, 6449, 548, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 7033, 652, 2086, 2187, 2018, 1948, 1810, 1405, 3801, 547, 5635, 1996, 20775, 2010, 454, 2018, 2132, 3502, 25363, 7757, 454, 1038, 2132, 1582, 6745, 574, 652, 2086, 318, 11034, 10922, 824, 6745, 574, 652, 2086, 318, 11034, 610, 1582, 6745, 574, 652, 2086, 318, 754, 10922, 824, 6745, 574, 652, 2086, 318, 754, 692, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 7033, 652, 2086, 2187, 2018, 1948, 1810, 1405, 3801, 547, 5635, 1996, 20775, 2010, 454, 2018, 2132, 3502, 25363, 7757, 454, 1038, 2132, 1582, 6745, 574, 652, 2086, 318, 11034, 2652, 824, 6745, 574, 652, 2086, 318, 11034, 543, 1582, 6745, 574, 652, 2086, 318, 754, 2652, 824, 6745, 574, 652, 2086, 318, 754, 692, 825, 1219, 6449, 928, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 7033, 652, 2086, 2187, 2018, 1948, 1810, 1405, 3801, 547, 5635, 1996, 20775, 2010, 454, 2018, 2132, 3502, 25363, 7757, 454, 1038, 2132, 1582, 6745, 574, 652, 2086, 318, 11034, 11203, 824, 6745, 574, 652, 2086, 318, 11034, 543, 1582, 6745, 574, 652, 2086, 318, 754, 11203, 824, 6745, 574, 652, 2086, 318, 754, 692, 825, 1219, 6449, 25885, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 7033, 652, 2086, 2187, 2018, 1948, 1810, 1405, 3801, 547, 5635, 1996, 20775, 2010, 454, 2018, 2132, 3502, 25363, 7757, 454, 1038, 2132, 1582, 6745, 574, 652, 2086, 318, 11034, 3436, 824, 6745, 574, 652, 2086, 318, 11034, 543, 1582, 6745, 574, 652, 2086, 318, 754, 3436, 824, 6745, 574, 652, 2086, 318, 754, 692, 825, 1219, 6449, 613, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 7033, 652, 2086, 2187, 2018, 1948, 1810, 1405, 3801, 547, 5635, 1996, 20775, 2010, 454, 2018, 2132, 3502, 25363, 7757, 454, 1038, 2132, 1582, 6745, 574, 652, 2086, 318, 11034, 13843, 824, 6745, 574, 652, 2086, 318, 11034, 610, 1582, 6745, 574, 652, 2086, 318, 754, 13843, 824, 6745, 574, 652, 2086, 318, 754, 692, 825, 1219, 1376, 4311, 2187, 1038, 5727, 14303, 5281, 513, 1193, 540, 519, 1376, 4266, 538, 606, 568, 334, 8971, 780, 1038, 2433, 8873, 281, 30149, 1193, 540, 519, 1376, 4266, 18011, 260, 312 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3349, 14340, 454, 1492, 2241, 343, 1505, 267, 769, 1804, 21092, 5276, 5752, 2042, 267, 519, 4429, 1103, 1804, 21092, 5276, 5752, 2042, 267, 519, 3070, 3112, 581, 5833, 676, 519, 21370, 1505, 543, 8754, 513, 811, 9836, 1505, 814, 547, 581, 2919, 547, 1265, 454, 13528, 3634, 713, 607, 513, 12430, 14691, 9046, 267, 589, 1957, 1984, 7472, 1079, 575, 2483, 288, 1957, 1984, 7472, 1079, 9344, 540, 1957, 642, 714, 1421, 2473, 543, 962, 269, 5221, 540, 6151, 1570, 9993, 267, 621, 3112, 3132, 811, 982, 476, 6110, 9748, 540, 3446, 2473, 1957, 543, 476, 4968, 9748, 540, 3446, 962, 17328, 454, 300, 330, 267, 7665, 4476, 2098, 284, 476, 274, 343, 272, 1341, 476, 273, 311, 273, 13595, 547, 519, 10148, 281, 2473, 272, 266, 2473, 273, 815, 476, 275, 2473, 272, 910, 2473, 273, 815, 4429, 16655, 4476, 2098, 284, 476, 274, 343, 272, 1341, 476, 273, 311, 273, 13595, 547, 519, 10148, 281, 2473, 272, 266, 2473, 273, 815, 476, 275, 2473, 272, 910, 2473, 273, 815, 476, 273, 2473, 272, 267, 2473, 273, 815, 476, 271, 454, 3725, 10293, 3631, 910, 5106, 1382, 2203, 267, 1452, 3631, 616, 1031, 765, 2483, 4322, 3631, 616, 1031, 950, 835, 1590, 6430, 519, 6099, 942, 547, 5372, 3937, 585, 835, 2601, 610, 519, 824, 585, 3236, 267, 538, 519, 2013, 540, 3937, 4171, 4398, 1033, 324, 454, 23921, 540, 1382, 11556, 267, 10261, 1160, 1842, 1023, 616, 2854, 585, 1585, 556, 553, 2483, 23921, 1160, 1842, 1023, 616, 2854, 585, 1585, 4128, 269, 1358, 616, 5423, 585, 1114, 4128, 799, 4268, 547, 519, 6708, 540, 3877, 4397, 267, 855, 899, 1382, 5359, 267, 519, 11556, 513, 454, 28398, 532, 12143, 6435, 454, 292, 21643, 12143, 6435, 454, 293, 12099, 12143, 6435, 454, 32417, 12143, 6435, 454, 30125, 12143, 6435, 454, 290, 13511, 12143, 6435, 454, 13043, 12143, 6435, 454, 289, 5735, 12143, 6435, 454, 12626, 12143, 6435, 454, 10048, 1771, 12143, 6435, 454, 25811, 1359, 12143, 6435, 454, 25284, 2719, 12143, 6435, 454, 20663, 3163, 12143, 6435, 454, 3951, 20043, 543, 6435, 454, 3963, 2974, 15017, 349, 2190, 343, 278, 31477, 8081, 454, 349, 26660, 540, 4518, 454, 349, 11742, 593, 24822, 454, 349, 7468, 643, 2329, 540, 4518, 454, 14549, 12754, 5004, 454, 24145, 1155, 5623, 5675, 6435, 454, 10287, 2974, 11406, 307, 1299, 595, 454, 15648, 676, 20226, 21790, 8668, 12409, 623, 26404, 269, 13456, 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 ]
[ 328, 6192, 1010, 2090, 609, 7071, 950, 646, 729, 1175, 28465, 1296, 2025, 269, 2991, 519, 28094, 540, 1010, 2090, 267, 646, 9310, 2098, 12317, 571, 12390, 574, 630, 323, 269, 1960, 274, 264, 543, 729, 321, 1652, 539, 609, 1614, 1453, 267, 13259, 24703, 267, 19869, 31608, 267, 543, 15310, 9874, 269, 1261, 849, 9310, 4053, 518, 10915, 12390, 574, 538, 476, 1960, 274, 595, 9950, 269, 1310, 519, 2669, 540, 2098, 12317, 571, 12390, 574, 267, 519, 8250, 540, 2701, 16554, 32617, 584, 7345, 12047, 597, 20306, 754, 328, 267, 513, 8037, 543, 3810, 12635, 539, 1268, 689, 1627, 1695, 1090, 25130, 1662, 269, 769, 4873, 476, 4198, 273, 290, 9950, 1421, 10067, 31053, 20306, 754, 328, 4682, 547, 17020, 597, 2742, 585, 1010, 4108, 3028, 282, 621, 729, 1282, 713, 942, 602, 646, 1558, 1010, 5289, 4116, 630, 300, 2720, 327, 573, 264, 2701, 16554, 18498, 15917, 323, 541, 13259, 7416, 6409, 328, 620, 9539, 26698, 3333, 7171, 328, 620, 11860, 15595, 2664, 5560, 269, 476, 3422, 271, 264, 945, 729, 835, 540, 519, 1390, 5640, 540, 11894, 267, 543, 32375, 513, 3280, 1268, 543, 729, 18164, 827, 519, 2185, 1292, 3392, 338, 543, 729, 5827, 540, 12419, 15310, 11445, 585, 1142, 540, 873, 269, 2704, 328, 15917, 323, 541, 20306, 754, 328, 1031, 547, 2995, 1010, 13794, 945, 1185, 11303, 1864, 3823, 10067, 31053, 20306, 754, 328, 267, 602, 2048, 11004, 568, 513, 17199, 1934, 538, 17020, 597, 2742, 267, 1265, 1864, 267, 543, 3142, 1864, 547, 803, 9957, 3891, 5338, 713, 1289, 267, 789, 3459, 547, 3406, 585, 519, 17199, 538, 17020, 597, 2742, 269, 1809, 713, 729, 513, 1360, 2352, 4305, 267, 607, 713, 17199, 1185, 1100, 2012, 267, 21519, 267, 610, 2232, 8160, 1695, 31053, 20306, 754, 8811, 574, 1345, 6941, 602, 968, 296, 2141, 1185, 267, 689, 513, 1360, 1762, 2085, 267, 1390, 15754, 547, 9683, 5640, 543, 2701, 16554, 338, 269, 24269, 594, 5873, 540, 513, 16159, 610, 835, 540, 589, 592, 12011, 344, 1695, 267, 594, 10272, 873, 5608, 543, 593, 835, 8317, 646, 6368, 1558, 2701, 16554, 18498, 15917, 323, 541, 269, 2701, 16554, 18498, 15917, 323, 541, 20306, 754, 328, 1185, 3254, 513, 1390, 4308, 540, 1719, 538, 10067, 31053, 20306, 754, 328, 543, 646, 1185, 1390, 15754, 543, 2463, 585, 1864, 269, 8409, 1472, 2701, 16554, 18498, 15917, 323, 541, 20306, 754, 328, 267, 12212, 789, 1131, 2307, 281, 968, 3963, 798, 596, 2285, 971, 1871, 547, 513, 17199, 596, 798, 711, 1256, 917, 9495, 2701, 16554, 18498, 15917, 323, 541, 20306, 754, 328, 14452, 281, 968, 3528, 519, 4027, 540, 16589, 1100, 5609, 814, 2943, 1044, 6592, 538, 1010, 1433, 540, 23339, 1848, 2991, 11264, 1010, 4108, 3028, 538, 476, 4198, 275, 595, 9950, 269, 10067, 31053, 20306, 754, 328, 729, 12912, 607, 606, 4013, 1955, 600, 540, 519, 1772, 21166, 589, 724, 320, 17018, 4302, 538, 594, 30955, 267, 1141, 646, 7283, 2394, 646, 19622, 538, 476, 1960, 277, 595, 9950, 269, 538, 476, 3422, 271, 595, 9950, 269, 1310, 519, 2669, 540, 2701, 16554, 18498, 15917, 323, 541, 20306, 754, 328, 267, 513, 1007, 5736, 609, 32219, 9021, 3459, 538, 2701, 16554, 10067, 31053, 20306, 754, 328, 779, 1272, 269, 1261, 729, 11112, 2324, 609, 519, 2146, 607, 606, 1955, 600, 267, 607, 1134, 607, 1373, 3238, 538, 519, 9099, 2069, 540, 519, 1053, 543, 11645, 540, 5289, 5583, 269, 3509, 5640, 540, 519, 7332, 1158, 3576, 4245, 543, 5583, 689, 1864, 269, 4438, 519, 6024, 7526, 1063, 519, 1318, 543, 2451, 26310, 2516, 267, 1354, 519, 19420, 540, 476, 1321, 5181, 476, 2735, 271, 290, 9950, 1421, 2701, 16554, 10067, 31053, 20306, 754, 328, 5143, 519, 1004, 267, 945, 3357, 547, 1864, 267, 968, 4131, 779, 1685, 808, 8811, 611, 267, 543, 621, 568, 938, 10279, 547, 2847, 633, 1004, 676, 679, 14765, 1456, 519, 1434, 543, 7303, 519, 3765, 1372, 2644, 267, 621, 568, 711, 938, 10279, 547, 6146, 1004, 6100, 1261, 6836, 547, 9350, 519, 1004, 543, 729, 3811, 547, 513, 1390, 6708, 563, 1103, 476, 2735, 279, 595, 9950, 269, 10067, 31053, 20306, 754, 328, 10272, 12456, 2444, 639, 267, 543, 16850, 585, 519, 1101, 942, 267, 543, 538, 476, 1960, 273, 595, 9950, 1421, 646, 24964, 547, 4789, 543, 5125, 547, 6655, 543, 5838, 519, 5048, 540, 5771, 269, 1261, 849, 24964, 547, 645, 4157, 327, 4673, 543, 10272, 519, 9723, 2125, 540, 9099, 5640, 972, 267, 7858, 7007, 609, 519, 900, 5799, 5640, 540, 891, 4525, 267, 543, 23503, 519, 1114, 4207, 27964, 269, 769, 5988, 476, 1220, 276, 290, 9950, 1421, 2701, 16554, 20306, 754, 328, 24964, 547, 3127, 547, 3643, 519, 19772, 540, 1955, 600, 15887, 3316, 328, 16334, 329, 5417, 573, 1325, 325, 25829, 5842, 328, 2701, 16554, 13259, 24703, 620, 6363, 541, 5622, 336, 620, 4149, 597, 16442, 328, 543, 1585, 824, 4378, 24461, 5640, 543, 5289, 7221, 540, 5771, 267, 899, 10609, 24652, 13391, 336, 328, 9291, 1695, 267, 17166, 26191, 715, 712, 17124, 645, 3385, 27376, 267, 19257, 5633, 631, 1794, 9618, 3967, 25829, 3967, 534, 543, 20961, 19869, 31608, 667, 1695, 18721, 328, 16638, 1840, 547, 21409, 547, 1169, 3148, 538, 11894, 267, 2701, 16554, 10067, 31053, 20306, 754, 328, 849, 24964, 547, 519, 5664, 5101, 267, 6239, 5607, 267, 543, 2342, 538, 606, 3801, 547, 1289, 1004, 547, 519, 4190, 4984, 540, 5771, 543, 519, 5168, 269, 1261, 5340, 670, 1690, 329, 663, 772, 332, 19207, 1896, 2053, 2429, 1010, 1272, 269, 2201, 1010, 1034, 2487, 3643, 267, 538, 4989, 476, 1001, 272, 595, 9950, 1421, 646, 5340, 513, 20498, 772, 332, 19207, 267, 1927, 609, 936, 15823, 8536, 540, 1010, 13794, 1107, 1945, 899, 713, 1185, 711, 1044, 14754, 585, 5553, 269, 2701, 16554, 10067, 31053, 20306, 754, 328, 779, 14222, 1702, 540, 519, 6129, 333, 1695, 267, 1010, 7096, 1620, 540, 519, 9443, 540, 519, 1744, 926, 685, 1695, 267, 543, 1010, 9099, 1629, 6756, 528, 607, 513, 2898, 723, 1500, 1390, 24221, 593, 1312, 519, 5640, 543, 4121, 2818, 540, 519, 9099, 1158, 7247, 646, 1185, 1558, 1282, 1010, 15322, 543, 593, 1346, 945, 3357, 547, 3643, 1864, 269, 1924, 267, 2701, 16554, 10067, 31053, 20306, 754, 328, 1185, 1175, 604, 22239, 3144, 909, 513, 3056, 2990, 538, 519, 9099, 1158, 543, 1185, 1044, 4378, 10696, 609, 519, 25621, 543, 15754, 540, 1004, 689, 782, 15211, 540, 1272, 269, 1261, 1095, 3660, 936, 865, 1082, 9099, 3621, 7886, 543, 1623, 24007, 338, 543, 9415, 1004, 547, 3489, 1702, 543, 547, 957, 2687, 547, 519, 6129, 333, 1695, 540, 519, 21024, 15011, 13758, 630, 303, 321, 7795, 1040, 634, 2495, 540, 29069, 323, 573, 630, 516, 341, 1516, 264, 568, 9117, 2390, 519, 15878, 685, 534, 543, 519, 6129, 333, 1695, 543, 2847, 1516, 713, 693, 513, 942, 950, 519, 12981, 540, 519, 15878, 685, 534, 543, 519, 6129, 333, 1695, 616, 1373, 10032, 269, 1306, 713, 814, 1044, 6592, 538, 26512, 29861, 644, 602, 519, 21024, 17124, 630, 303, 321, 7795, 264, 1767, 267, 2108, 29012, 267, 16589, 786, 6318, 513, 812, 945, 786, 2847, 633, 519, 4984, 585, 713, 772, 7825, 1695, 693, 519, 4098, 540, 1169, 2540, 6100, 1496, 6781, 340, 29861, 644, 281, 476, 275, 3066, 272, 316, 4935, 267, 1759, 593, 713, 1185, 603, 267, 5640, 723, 13986, 547, 3313, 513, 16334, 329, 5417, 573, 693, 519, 4098, 540, 1169, 2540, 269, 769, 476, 1001, 271, 595, 9950, 269, 5111, 2185, 4627, 12021, 543, 15197, 5640, 3357, 689, 476, 6246, 2477, 547, 21907, 517, 519, 1114, 4207, 27964, 543, 2591, 602, 7153, 538, 9099, 2219, 538, 594, 30955, 543, 593, 713, 8317, 10294, 2701, 16554, 10067, 31053, 20306, 754, 328, 607, 519, 16334, 329, 5417, 573, 630, 3725, 341, 1853, 264, 540, 519, 476, 2641, 560, 1417, 1722, 663, 4843, 1864, 609, 519, 968, 11073, 9227, 6796, 547, 5274, 640, 13815, 6100, 2991, 1821, 7627, 1010, 2898, 1272, 547, 519, 3028, 540, 5771, 267, 713, 1390, 16159, 540, 5771, 543, 476, 2641, 560, 1417, 1722, 16334, 329, 5417, 573, 2451, 713, 1158, 593, 476, 2537, 4873, 476, 1708, 273, 693, 519, 2085, 540, 476, 11152, 1296, 269, 16334, 329, 5417, 573, 2701, 16554, 10067, 31053, 20306, 754, 328, 2429, 1010, 1272, 9415, 1004, 547, 3489, 1702, 543, 1685, 10847, 711, 1152, 609, 1010, 1913, 855, 849, 609, 1010, 3527, 282, 646, 2760, 14460, 610, 20495, 1022, 1106, 540, 10847, 543, 19500, 607, 513, 2707, 540, 19015, 543, 8404, 585, 1346, 945, 7198, 1010, 32344, 1145, 269, 1261, 1185, 5645, 856, 1082, 1568, 547, 13599, 1010, 1004, 538, 5132, 267, 19248, 336, 11445, 267, 1434, 26069, 267, 2463, 585, 1866, 267, 543, 1702, 269, 2701, 16554, 10067, 31053, 20306, 754, 328, 2141, 9415, 1004, 547, 3343, 2069, 267, 2936, 7326, 543, 2832, 585, 22556, 269, 10067, 31053, 20306, 754, 328, 779, 28005, 976, 267, 799, 646, 1185, 2016, 5781, 585, 936, 15823, 1296, 267, 8720, 3818, 8820, 3344, 540, 5771, 723, 1044, 6394, 543, 2895, 1882, 676, 1010, 13794, 282, 607, 513, 1267, 267, 3670, 12531, 723, 1044, 3370, 2943, 269, 634, 1034, 3312, 543, 6225, 960, 540, 2701, 16554, 10067, 31053, 20306, 754, 328, 568, 519, 960, 540, 24758, 519, 15878, 685, 534, 547, 519, 15349, 1893, 267, 3957, 968, 304, 584, 685, 534, 20727, 2465, 573, 6100, 6271, 1034, 2019, 6058, 748, 960, 676, 2701, 16554, 10067, 31053, 20306, 754, 328, 568, 519, 7664, 540, 519, 15878, 685, 534, 538, 15349, 13886, 968, 305, 537, 327, 620, 6363, 584, 336, 534, 6100, 2701, 16554, 10067, 31053, 20306, 754, 328, 3964, 1585, 3909, 267, 1514, 267, 543, 17493, 3906, 543, 13210, 267, 3226, 971, 607, 2048, 763, 16334, 329, 5417, 573, 10067, 31053, 20306, 754, 328, 7690, 8730, 2048, 763, 3057, 604, 564, 5948, 8730, 2048, 763, 18966, 540, 3057, 604, 564, 4889, 725, 8730, 543, 2048, 25105, 548, 6129, 333, 1695, 3649, 620, 11219, 4821, 1695, 32700, 685, 547, 2709, 513, 1454, 1732, 3028, 547, 5771, 543, 782, 8103, 269, 3571, 3906, 543, 13210, 2285, 3028, 538, 2069, 267, 2528, 267, 3621, 1382, 267, 1072, 267, 17493, 267, 543, 3084, 543, 3486, 1514, 3906, 269, 1261, 849, 3370, 513, 10865, 14046, 543, 2686, 12139, 3957, 968, 11321, 604, 564, 6100, 10067, 31053, 20306, 754, 328, 729, 16994, 593, 3384, 3347, 543, 9316, 267, 2523, 1063, 12356, 543, 741, 6082, 267, 543, 729, 538, 12797, 540, 513, 12560, 1158, 269, 1261, 814, 6634, 540, 13794, 543, 18798, 782, 936, 519, 1158, 543, 729, 519, 1034, 900, 5799, 4137, 538, 519, 13120, 540, 5771, 563, 263, 763, 2278, 568, 1763, 792, 7815, 693, 519, 4972, 540, 9099, 5525, 267, 9040, 320, 13850, 592, 600, 20961, 14068, 3333, 1695, 2160, 267, 14076, 14873, 269, 14358, 616, 1010, 1378, 264, 0, 30161, 1681, 519, 2518, 3662, 9265, 538, 519, 3406, 519, 2518, 3662, 9265, 538, 519, 3406, 2483, 12812, 1934, 547, 4452, 5467, 454, 8070, 593, 476, 736, 11219, 684, 268, 1001, 279, 454, 21615, 539, 12025, 630, 29210, 994, 22711, 540, 25927, 1049, 3163, 454, 297, 25927, 2233, 267, 476, 1001, 277, 8222, 281, 476, 1015, 269, 14991, 8618, 32434, 4811, 269, 1911, 28318, 275, 11730, 476, 274, 263, 272, 2567, 476, 4391, 272, 268, 4343, 277, 454, 18698, 519, 2518, 3662, 9265, 538, 519, 3406, 585, 1007, 5061, 910, 7786, 291, 12447, 17241, 32617, 272, 267, 273, 24682, 26425, 823, 590, 1515, 6652, 273, 267, 1546, 4060, 3873, 717, 18553, 272, 543, 808, 565, 548, 918, 691, 641, 1177, 10098, 272, 454, 272, 23430, 540, 24103, 1108, 267, 16653, 632, 918, 558, 2160, 267, 20368, 541, 756, 334, 267, 5080, 514, 877, 273, 26199, 3194, 10418, 5080, 514, 877, 267, 14288, 11233, 5080, 514, 877, 267, 20368, 541, 756, 334, 267, 5080, 514, 877, 454, 20082, 27802, 1734, 689, 18714, 2371, 543, 7286, 7103, 723, 2094, 1279, 1044, 6444, 607, 1271, 2959, 540, 6915, 5562, 6878, 269, 901, 814, 3366, 547, 519, 1646, 540, 513, 1804, 3099, 540, 5061, 547, 1521, 1480, 3676, 971, 607, 267, 1851, 1866, 267, 513, 1297, 540, 4550, 1506, 13630, 2400, 267, 31202, 23303, 267, 9025, 267, 15084, 267, 543, 1884, 710, 31129, 8069, 269, 2859, 5063, 267, 519, 5863, 9265, 6719, 676, 519, 16221, 540, 5521, 2249, 814, 1044, 7691, 547, 3132, 606, 8449, 11108, 2707, 540, 6915, 5562, 6464, 609, 9354, 1761, 269, 3509, 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 ]
[ 27908, 687, 540, 1004, 5001, 616, 3478, 7318, 1169, 2582, 1554, 585, 519, 4527, 540, 1480, 6375, 32759, 3644, 538, 741, 4703, 269, 1306, 519, 5859, 585, 15978, 4656, 568, 3478, 2479, 6793, 1256, 538, 2484, 1166, 2426, 4525, 538, 519, 2197, 267, 811, 543, 811, 1004, 616, 1166, 12177, 547, 7740, 547, 2638, 952, 789, 616, 7783, 610, 711, 269, 901, 568, 513, 2318, 3210, 538, 519, 4339, 547, 1852, 519, 2068, 563, 4913, 267, 711, 1082, 917, 519, 32067, 3877, 540, 519, 4255, 2944, 269, 1656, 1256, 1447, 917, 602, 621, 3217, 1659, 327, 850, 585, 9672, 2164, 547, 1397, 538, 519, 1560, 269, 901, 568, 1946, 12044, 4703, 538, 519, 2564, 2361, 849, 7903, 585, 2417, 11044, 593, 519, 1982, 547, 4339, 15978, 602, 786, 711, 1152, 5000, 1004, 547, 1205, 7318, 855, 849, 585, 873, 547, 723, 513, 2631, 540, 4638, 15657, 543, 5539, 711, 1152, 585, 741, 4703, 855, 585, 741, 4891, 607, 1134, 563, 2467, 616, 3622, 1079, 2010, 540, 4255, 602, 616, 2139, 269, 634, 1101, 835, 4255, 585, 7486, 12489, 538, 519, 1560, 269, 634, 2034, 1449, 5654, 585, 26898, 3812, 676, 519, 3644, 538, 519, 1560, 269, 634, 2034, 1449, 568, 18334, 543, 2164, 666, 581, 2938, 5612, 1369, 2395, 1310, 3968, 563, 763, 1101, 1449, 5654, 585, 12489, 3812, 676, 519, 1480, 3984, 1996, 519, 3644, 269, 901, 2356, 3217, 513, 1906, 2395, 547, 4374, 1310, 3968, 585, 519, 1101, 4191, 540, 519, 12489, 547, 1397, 269, 901, 666, 6961, 547, 581, 14603, 607, 789, 5667, 639, 1051, 532, 15298, 1223, 5732, 3262, 519, 3644, 1142, 942, 646, 814, 796, 31695, 3023, 269, 634, 1449, 3294, 568, 711, 476, 1911, 260, 4977, 543, 930, 4686, 2665, 723, 1044, 1634, 547, 3132, 12489, 1310, 476, 277, 3275, 540, 4742, 7783, 563, 763, 2034, 1449, 267, 513, 18960, 4528, 267, 5654, 585, 26898, 3812, 676, 519, 3644, 3294, 269, 1323, 18970, 568, 513, 3940, 2016, 1055, 676, 519, 3644, 2899, 621, 814, 7783, 513, 1268, 269, 901, 4523, 3592, 5612, 1310, 3968, 543, 666, 581, 513, 1390, 948, 538, 1818, 2386, 602, 519, 3461, 568, 1500, 3222, 540, 1010, 4567, 269, 634, 1981, 547, 2417, 3262, 519, 3968, 568, 6854, 547, 513, 5934, 269, 634, 7887, 3815, 568, 602, 713, 1449, 568, 3810, 6213, 543, 4977, 693, 519, 1482, 942, 563, 2005, 568, 8909, 547, 2161, 1498, 602, 2899, 513, 3461, 568, 9672, 547, 723, 7486, 267, 646, 786, 581, 16271, 547, 811, 4255, 547, 1118, 2386, 646, 568, 3478, 519, 2953, 8905, 540, 2126, 269, 4329, 4255, 666, 581, 2039, 689, 7131, 275, 12523, 1524, 547, 824, 6375, 334, 817, 904, 610, 1583, 1670, 4152, 585, 17537, 267, 5233, 22914, 2670, 267, 590, 2316, 779, 610, 16770, 10299, 5563, 610, 21061, 563, 7374, 275, 12523, 616, 3376, 6724, 799, 15378, 875, 2484, 519, 7486, 814, 3144, 936, 519, 3984, 779, 4761, 1062, 269, 634, 7131, 275, 25961, 512, 268, 569, 332, 874, 14231, 616, 2281, 6098, 676, 519, 3644, 269, 589, 1970, 1293, 630, 10964, 578, 476, 1220, 264, 1223, 1611, 602, 513, 1268, 779, 7486, 3968, 814, 7707, 2989, 883, 610, 5828, 883, 2407, 27762, 15978, 269, 901, 1267, 1223, 3310, 519, 1576, 540, 2126, 602, 568, 2016, 547, 513, 3461, 547, 948, 1864, 4339, 519, 2068, 563, 2005, 568, 1271, 547, 4063, 602, 1498, 7486, 9072, 1152, 519, 7131, 275, 2281, 538, 519, 1062, 267, 513, 1970, 1267, 1281, 711, 8209, 1611, 602, 646, 814, 27636, 883, 15978, 269, 1703, 616, 1082, 3123, 585, 7131, 275, 2281, 547, 6175, 538, 519, 1560, 269, 589, 2241, 9190, 610, 1022, 824, 10194, 3968, 666, 1118, 519, 1560, 6749, 7131, 275, 12523, 6385, 269, 0, 273, 269, 20472, 539, 19932, 630, 299, 19390, 3316, 264, 538, 3642, 454, 275, 269, 11310, 21733, 9974, 3414, 10724, 32185, 454, 276, 269, 634, 18748, 338, 540, 10021, 532, 269, 13405, 11310, 267, 543, 1230, 9690, 11576, 800, 18452, 593, 7849, 5678, 14409, 454, 277, 269, 16792, 5853, 6254, 626, 14362, 547, 11310, 12476, 14716, 454, 278, 269, 14419, 875, 20946, 540, 2806, 560, 3555, 18748, 513, 11310, 12476, 454, 296, 6415, 15819, 1297, 835, 269, 634, 1699, 1382, 883, 606, 594, 4811, 568, 6140, 8159, 1018, 2055, 547, 7688, 873, 593, 630, 296, 3494, 1040, 594, 3513, 1224, 909, 593, 621, 930, 811, 267, 855, 1250, 5767, 23937, 547, 519, 1592, 3100, 547, 581, 15738, 538, 513, 1114, 4287, 269, 1280, 713, 2601, 267, 1297, 1614, 568, 849, 1572, 883, 2243, 269, 3194, 883, 519, 824, 3584, 1131, 4324, 835, 543, 1614, 563, 7069, 6967, 5079, 267, 4849, 585, 1297, 1079, 267, 4308, 609, 1702, 13279, 543, 5924, 1702, 6041, 538, 930, 1259, 269, 594, 4312, 1500, 1100, 3801, 547, 12404, 519, 1249, 602, 594, 1589, 519, 4540, 2409, 540, 1702, 6041, 630, 7474, 594, 917, 827, 264, 616, 2484, 1932, 3908, 543, 711, 1360, 2487, 269, 2060, 938, 1163, 2105, 1620, 540, 23798, 267, 26381, 1108, 267, 543, 2780, 2257, 267, 649, 1131, 723, 2097, 909, 609, 513, 1732, 1505, 676, 1631, 269, 6182, 5896, 267, 594, 991, 547, 1224, 909, 593, 1018, 781, 1373, 1031, 267, 855, 594, 1832, 7487, 14604, 543, 1101, 1931, 7954, 1373, 5018, 269, 2755, 649, 723, 1454, 547, 1451, 689, 1142, 267, 1312, 723, 24966, 602, 723, 2943, 547, 581, 17251, 269, 0, 293, 880, 16983, 610, 3165, 7382, 568, 606, 8708, 609, 693, 2547, 835, 12001, 2427, 547, 3180, 543, 4159, 1216, 1673, 16946, 267, 2371, 543, 2831, 267, 1519, 3165, 563, 763, 7306, 540, 12748, 4620, 11149, 1376, 689, 1507, 835, 2148, 26633, 543, 13688, 27477, 269, 11426, 1500, 1857, 6864, 7559, 666, 3180, 5215, 540, 17529, 540, 1216, 269, 9282, 267, 4505, 519, 11149, 1373, 1500, 540, 4837, 1185, 19231, 538, 3337, 267, 609, 519, 8244, 540, 28778, 972, 568, 2789, 3903, 538, 519, 3337, 540, 519, 16983, 563, 763, 12145, 2188, 616, 8244, 540, 2230, 693, 1753, 610, 1870, 22402, 543, 7482, 585, 6718, 543, 5826, 540, 10130, 267, 3165, 16983, 267, 6763, 543, 17960, 269, 634, 15908, 626, 1590, 723, 22302, 942, 585, 519, 10130, 543, 693, 2547, 930, 25229, 21747, 1702, 538, 4620, 29867, 563, 10908, 817, 3165, 7382, 10908, 817, 3443, 525, 543, 4496, 14604, 941, 1031, 538, 4505, 6864, 7559, 269, 634, 11149, 941, 1500, 1216, 31259, 676, 15098, 519, 10549, 609, 12334, 269, 13536, 13545, 729, 5189, 607, 519, 13021, 656, 269, 769, 971, 11149, 267, 519, 4496, 7406, 3576, 1454, 540, 519, 2566, 543, 972, 941, 7928, 20984, 269, 2060, 519, 4417, 540, 30736, 519, 10549, 1063, 519, 4837, 533, 2033, 2968, 6109, 543, 782, 4837, 11149, 1223, 581, 1500, 269, 769, 930, 6864, 926, 4548, 519, 4496, 7406, 568, 17477, 585, 17033, 25798, 543, 12716, 4128, 563, 10907, 23359, 3165, 7382, 10907, 23359, 610, 12443, 9852, 14007, 8715, 659, 787, 17218, 264, 630, 15014, 7246, 264, 568, 513, 17426, 610, 695, 2660, 15033, 4244, 547, 21958, 4837, 269, 3600, 23359, 849, 814, 3152, 1764, 4222, 982, 519, 4837, 269, 898, 666, 581, 2759, 543, 8678, 883, 1585, 5546, 676, 19857, 2781, 906, 269, 898, 568, 4998, 585, 6864, 7559, 269, 4595, 28778, 568, 29779, 543, 811, 3362, 29565, 3481, 982, 4837, 267, 15072, 15033, 23541, 616, 1419, 3773, 547, 28778, 9212, 547, 2149, 873, 689, 29565, 2583, 563, 347, 1692, 547, 2973, 513, 3165, 12826, 2008, 347, 294, 10676, 20544, 12826, 2008, 347, 294, 6269, 344, 3165, 12826, 2008, 18871, 14211, 532, 4154, 8127, 12826, 2008, 21270, 24297, 3165, 12826, 2008, 347, 20112, 8127, 3165, 12826, 2008, 347, 19669, 6531, 7823, 1295, 852, 12826, 2008, 347, 7069, 20712, 2879, 841, 12826, 2008, 347, 28893, 21221, 13855, 2008, 347, 23325, 21221, 575, 537, 1090, 328, 2008, 293, 880, 7382, 7306, 543, 2010, 293, 880, 13688, 607, 1507, 607, 835, 2148, 4390, 616, 2139, 538, 2344, 269, 4329, 5180, 267, 15279, 21192, 543, 834, 299, 257, 8032, 6864, 7559, 666, 581, 5833, 269, 2201, 519, 2362, 2427, 519, 2597, 540, 1216, 814, 547, 581, 3144, 883, 2272, 585, 14335, 5458, 13688, 269, 2290, 2148, 540, 1216, 22179, 835, 13532, 269, 634, 11908, 13985, 10740, 267, 585, 1383, 267, 2934, 606, 1367, 8708, 540, 476, 277, 267, 4968, 267, 1822, 2475, 17529, 563, 347, 7775, 333, 4442, 3165, 7382, 2008, 347, 21080, 7244, 3165, 8198, 347, 5522, 520, 344, 3165, 1416, 8198, 30106, 7211, 3165, 3676, 8198, 24820, 638, 10740, 3165, 3676, 8198, 347, 15650, 540, 15195, 16983, 3165, 8198, 347, 7775, 333, 4442, 3165, 4214, 8198, 347, 5522, 520, 344, 3165, 1416, 8198, 347, 5522, 520, 344, 4758, 4332, 8198, 15862, 2707, 281, 679, 25769, 3820, 28293, 270, 17572, 281, 288, 3901, 619, 651, 318, 752, 341, 10740, 27970, 454, 12041, 281, 22176, 20795, 1677, 20795, 990, 12921, 383, 377, 1923, 17821, 281, 5398, 6389, 454, 14483, 1888, 281, 12551, 7382, 16983, 0, 18404, 28351, 19371, 16200, 518, 20537, 13082, 454, 12867, 723, 2813, 513, 1007, 2186, 540, 3441, 2389, 26985, 17285, 4837, 602, 949, 581, 27162, 615, 982, 1022, 824, 1634, 1570, 269, 634, 1007, 17285, 4837, 568, 513, 2890, 718, 1195, 10023, 23080, 18123, 267, 513, 4496, 609, 513, 1164, 834, 12712, 330, 3562, 1606, 515, 541, 257, 20765, 5223, 602, 4831, 9711, 519, 17271, 12766, 339, 30276, 540, 4837, 344, 2326, 563, 257, 10303, 540, 519, 1164, 13557, 3562, 1606, 515, 541, 29870, 5223, 540, 23080, 18123, 25202, 1570, 267, 519, 1648, 2877, 547, 1106, 19852, 13164, 568, 1454, 2539, 982, 519, 1648, 2838, 547, 2490, 891, 19852, 13164, 883, 18015, 2437, 681, 527, 2151, 3081, 269, 834, 763, 1267, 568, 602, 4837, 25457, 3573, 29010, 538, 3210, 547, 2566, 267, 3850, 621, 547, 18846, 2864, 982, 11523, 4799, 20573, 600, 720, 2389, 26985, 17285, 4837, 994, 1607, 2890, 23054, 540, 513, 632, 11526, 711, 577, 538, 23080, 18123, 2861, 17285, 4837, 2982, 3573, 5068, 31364, 540, 606, 7620, 8325, 11523, 269, 634, 1202, 564, 568, 513, 3172, 1881, 2070, 540, 513, 19852, 15558, 630, 5535, 264, 2919, 1282, 5068, 23510, 1354, 519, 11523, 8118, 563, 257, 4322, 2164, 1665, 519, 1101, 946, 540, 513, 1007, 4640, 585, 17285, 4837, 21753, 543, 649, 3494, 649, 666, 946, 621, 547, 1118, 4837, 602, 786, 581, 1256, 6793, 543, 811, 9157, 2437, 3081, 7917, 681, 527, 2151, 267, 513, 2326, 10196, 945, 3366, 519, 20588, 9295, 547, 519, 1382, 563, 257, 5978, 3014, 1631, 568, 547, 2119, 543, 8831, 713, 1935, 540, 1802, 1424, 3573, 29010, 1991, 547, 17795, 547, 824, 17285, 14296, 998, 2242, 538, 5888, 2437, 681, 527, 2151, 3081, 269, 834, 763, 1840, 540, 519, 23080, 18123, 2488, 938, 993, 6973, 748, 1570, 609, 606, 8966, 4390, 585, 3573, 5068, 31364, 6619, 540, 606, 6679, 11523, 269, 901, 8992, 513, 17795, 32297, 13380, 547, 1346, 540, 519, 27162, 4554, 2326, 1634, 269, 634, 4686, 4999, 540, 32297, 543, 4222, 267, 610, 3441, 10892, 267, 11498, 3564, 519, 25162, 9832, 3964, 676, 519, 27162, 4554, 543, 16999, 2326, 1634, 4799, 16631, 5708, 11655, 11291, 519, 12669, 13709, 817, 5656, 538, 519, 13371, 14816, 4528, 540, 21207, 29124, 538, 519, 476, 1839, 628, 11416, 269, 1306, 2484, 607, 594, 917, 267, 972, 568, 1100, 4704, 547, 834, 5471, 718, 13709, 817, 257, 538, 17722, 3767, 17427, 781, 476, 4572, 279, 3209, 14022, 3042, 18484, 281, 476, 25240, 280, 267, 799, 5189, 21207, 29124, 547, 519, 1158, 563, 296, 849, 2219, 540, 519, 13486, 540, 4837, 689, 7917, 18234, 6199, 781, 476, 3192, 271, 3134, 11345, 1650, 563, 24718, 547, 519, 4837, 924, 2938, 538, 3798, 12107, 16803, 630, 663, 4440, 824, 264, 2984, 282, 621, 568, 1031, 607, 513, 1570, 585, 12001, 19389, 16654, 31238, 585, 2230, 1606, 7057, 267, 543, 607, 513, 2679, 1570, 912, 763, 6833, 571, 23392, 11542, 538, 513, 4677, 693, 519, 6316, 540, 4884, 267, 18651, 1154, 519, 7599, 26569, 1799, 3748, 540, 519, 9390, 269, 901, 1350, 7867, 532, 4837, 3625, 267, 2523, 3710, 547, 8597, 547, 519, 15805, 4123, 689, 3047, 267, 729, 3047, 8410, 1288, 539, 3330, 2483, 763, 1747, 1185, 4837, 924, 6821, 543, 18109, 267, 543, 729, 2966, 547, 2285, 606, 12705, 540, 519, 10188, 8115, 540, 513, 2230, 1606, 1222, 563, 263, 5804, 634, 2622, 609, 513, 23897, 663, 7720, 976, 676, 3798, 12107, 16803, 12467, 309, 807, 6997, 28805, 282, 7064, 547, 12736, 23025, 932, 2426, 585, 519, 9133, 543, 519, 4704, 585 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 12748, 7068, 267, 1082, 1004, 616, 18516, 827, 875, 789, 1058, 581, 5701, 593, 513, 2732, 602, 2882, 3165, 267, 971, 607, 513, 26240, 13906, 4115, 2732, 269, 4014, 789, 666, 1205, 575, 1807, 538, 998, 741, 18261, 267, 575, 1807, 1522, 581, 2352, 547, 2097, 676, 538, 824, 6753, 563, 1432, 798, 623, 525, 13906, 12579, 3548, 585, 14254, 888, 2691, 621, 2501, 547, 6220, 1034, 6093, 14254, 3688, 883, 513, 26240, 13906, 4115, 2732, 267, 519, 1434, 3377, 568, 602, 5798, 616, 835, 540, 519, 15864, 547, 11753, 269, 16639, 602, 666, 581, 10057, 593, 513, 26240, 13906, 4115, 2732, 1331, 519, 1739, 912, 268, 12551, 267, 32729, 267, 5613, 267, 5388, 267, 22053, 267, 10683, 630, 1122, 7714, 267, 18506, 267, 10381, 267, 5144, 1070, 5452, 543, 10808, 267, 543, 24799, 616, 930, 540, 519, 3536, 2139, 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 ]
[ 0, 12163, 31176, 495, 418, 490, 485, 20644, 476, 4962, 269, 17276, 505, 379, 29004, 351, 419, 358, 374, 21550, 376, 454, 13644, 371, 14395, 508, 27064, 364, 22047, 16583, 30936, 8147, 418, 488, 488, 21211, 31033, 4970, 366, 521, 476, 18809, 7511, 30006, 493, 14748, 419, 358, 374, 21550, 376, 418, 505, 379, 29004, 351, 29873, 257, 260, 736, 257, 12486, 19638, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 16088, 338, 815, 834, 2171, 616, 6126, 4799, 27447, 24731, 16088, 257, 2171, 260, 736, 732, 260, 736, 327, 7026, 3010, 454, 30522, 494, 10254, 370, 16088, 692, 271, 10922, 521, 476, 7511, 421, 499, 379, 18021, 355, 10922, 476, 1911, 876, 692, 20881, 504, 13213, 485, 418, 361, 350, 12255, 13199, 267, 5952, 277, 418, 493, 494, 11590, 353, 418, 361, 350, 12255, 272, 454, 20701, 454, 5035, 8827, 912, 825, 1219, 5372, 22129, 4311, 267, 521, 2187, 1038, 991, 23919, 815, 834, 4840, 1038, 585, 1775, 538, 521, 912, 2018, 952, 1775, 2652, 834, 834, 912, 3546, 991, 23919, 6834, 834, 260, 736, 4840, 2018, 3116, 912, 3546, 991, 23919, 6834, 1775, 454, 1038, 2132, 991, 23919, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 521, 815, 834, 2171, 616, 6126, 4799, 825, 3070, 815, 8827, 4590, 825, 1820, 4433, 1828, 18622, 2897, 22129, 4433, 4917, 0, 5814, 4351, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 2316, 300, 2464, 318, 15674, 318, 3918, 14154, 2969, 815, 476, 1015, 1262, 277, 454, 299, 2894, 294, 8025, 815, 476, 273, 454, 290, 7728, 2207, 815, 1496, 271, 267, 271, 2639, 343, 326, 17342, 316, 1948, 323, 604, 710, 5044, 547, 1832, 1448, 602, 538, 5858, 454, 17789, 17342, 2639, 343, 978, 17342, 316, 258, 323, 604, 710, 5044, 547, 1832, 1448, 602, 711, 538, 5858, 454, 344, 978, 17342, 6540, 3698, 538, 6831, 22511, 263, 4812, 2187, 825, 1535, 815, 1448, 314, 271, 2639, 825, 586, 815, 1448, 314, 272, 2639, 825, 4099, 13448, 815, 595, 7728, 2207, 314, 271, 2639, 825, 4099, 14729, 815, 595, 7728, 2207, 314, 272, 2639, 825, 8953, 815, 700, 2894, 294, 8025, 270, 273, 454, 825, 2132, 630, 343, 910, 4099, 13448, 264, 1262, 273, 1341, 630, 344, 910, 4099, 14729, 264, 1262, 273, 2999, 8953, 1262, 273, 1948, 13765, 1448, 602, 1044, 4351, 616, 538, 5858, 454, 3698, 711, 1103, 6831, 22511, 263, 4812, 2187, 825, 1535, 815, 1448, 314, 271, 2639, 825, 586, 815, 1448, 314, 272, 2639, 825, 4099, 13448, 815, 595, 7728, 2207, 314, 271, 2639, 825, 4099, 14729, 815, 595, 7728, 2207, 314, 272, 2639, 825, 8953, 815, 700, 2894, 294, 8025, 270, 273, 454, 825, 2132, 630, 343, 910, 4099, 13448, 264, 1262, 273, 1341, 630, 344, 910, 4099, 14729, 264, 1262, 273, 13843, 8953, 1262, 273, 258, 13765, 1448, 602, 1044, 4351, 616, 711, 538, 5858, 454, 12248, 815, 3330, 18045, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 2316, 300, 2464, 318, 15674, 318, 3918, 14154, 2969, 2187, 825, 1448, 815, 4351, 26509, 6134, 263, 271, 267, 272, 1070, 12690, 26509, 6134, 263, 272, 267, 271, 264, 1948, 12690, 1448, 538, 1627, 272, 454, 825, 952, 538, 6831, 22511, 263, 4812, 2187, 1038, 3330, 18045, 6834, 476, 272, 454, 1038, 1535, 326, 6910, 263, 4812, 314, 271, 8079, 1948, 18141, 1448, 538, 5044, 547, 4729, 3113, 454, 1038, 586, 326, 6910, 263, 4812, 314, 272, 7481, 825, 8640, 711, 1103, 6831, 22511, 263, 4812, 2187, 1038, 1535, 978, 6910, 263, 4812, 314, 271, 8079, 258, 18141, 1448, 538, 5044, 547, 4729, 3113, 454, 1038, 586, 978, 6910, 263, 4812, 314, 272, 7481, 825, 1293, 6834, 476, 272, 692, 7032, 815, 630, 1231, 728, 18045, 1315, 1293, 264, 2608, 476, 275, 454, 2745, 263, 7032, 994, 10823, 31892, 2660, 3287, 326, 11971, 326, 267, 10233, 6889, 326, 8442, 1948, 3073, 1400, 4729, 3113, 538, 12297, 609, 3039, 630, 514, 5858, 994, 10823, 19502, 3287, 978, 11971, 978, 267, 8339, 3299, 10233, 6889, 337, 8442, 258, 3698, 710, 547, 4729, 3113, 538, 12297, 609, 2699, 630, 2254, 538, 5858, 994, 10823, 20481, 3890, 258, 1729, 1397, 3113, 602, 814, 1044, 4729, 0, 12163, 1607, 3758, 3568, 3252, 585, 10451, 543, 2357, 4328, 32518, 3722, 338, 563, 20701, 258, 3044, 454, 5814, 19474, 12221, 454, 5814, 554, 332, 659, 7531, 3698, 554, 332, 659, 318, 2102, 4733, 31107, 267, 10750, 3667, 2187, 825, 8173, 825, 9198, 919, 606, 32518, 3722, 585, 519, 10750, 3667, 609, 519, 1883, 563, 825, 8173, 825, 554, 815, 554, 332, 659, 269, 2908, 31107, 267, 20444, 326, 284, 21622, 3667, 267, 7558, 7116, 284, 327, 1662, 12221, 11075, 320, 16348, 994, 825, 554, 269, 26303, 263, 21622, 3667, 994, 825, 2132, 554, 6155, 580, 652, 30800, 3698, 554, 332, 659, 318, 591, 1518, 31107, 267, 10750, 3667, 267, 15040, 2187, 825, 8173, 825, 9198, 919, 519, 32518, 3722, 585, 519, 10750, 3667, 609, 519, 1883, 1996, 519, 15040, 563, 825, 8173, 825, 554, 815, 554, 332, 659, 269, 2908, 31107, 267, 20444, 326, 284, 21622, 3667, 267, 7558, 7116, 284, 327, 1662, 12221, 11075, 320, 16348, 994, 825, 554, 269, 26303, 263, 21622, 3667, 994, 825, 2132, 554, 6155, 580, 652, 3890, 2652, 15040, 454, 0, 258, 19530, 911, 17532, 609, 1948, 5897, 1721, 1775, 538, 2039, 263, 275, 8029, 825, 585, 795, 538, 2039, 9217, 266, 272, 8029, 1038, 1820, 2891, 258, 2580, 754, 284, 3269, 3418, 825, 1820, 31476, 258, 1410, 9052, 1079, 568, 8228, 513, 267, 629, 267, 29582, 267, 629, 7251, 538, 911, 17532, 3898, 23228, 258, 23921, 547, 5659, 811, 547, 2347, 519, 3635, 23228, 343, 284, 3488, 320, 12887, 321, 12887, 322, 12887, 323, 262, 10142, 1721, 1775, 538, 1535, 6769, 825, 1820, 9217, 267, 754, 284, 3269, 10142, 0, 258, 22998, 609, 5044, 5897, 5814, 5044, 607, 2855, 1477, 10094, 815, 2855, 15126, 3488, 328, 3299, 314, 272, 267, 274, 267, 275, 267, 276, 29573, 1721, 1775, 538, 2039, 263, 275, 8029, 825, 1820, 263, 10094, 5157, 316, 10142, 258, 21093, 2418, 689, 519, 3593, 547, 519, 5044, 5897, 5814, 5044, 607, 2855, 1477, 514, 1551, 815, 1551, 15126, 3488, 328, 3299, 26514, 3418, 6352, 1551, 25507, 9272, 2891, 11767, 3259, 540, 519, 5044, 281, 8442, 3418, 1721, 552, 538, 2039, 12759, 1551, 8029, 825, 1535, 25507, 9272, 2891, 11767, 1871, 547, 519, 5044, 281, 8442, 3418, 825, 538, 1551, 6910, 3287, 3418, 2745, 263, 514, 1551, 3418, 5897, 258, 14142, 519, 1871, 540, 519, 5044, 1477, 338, 337, 577, 1998, 815, 703, 9272, 2891, 11767, 519, 1871, 540, 519, 5044, 547, 3406, 281, 8442, 3418, 330, 284, 271, 1477, 1721, 1775, 538, 2039, 12759, 263, 514, 1551, 264, 8029, 825, 795, 284, 328, 266, 272, 1477, 825, 952, 538, 1551, 5157, 316, 2525, 338, 337, 577, 1998, 6769, 1038, 1820, 2891, 19368, 6818, 538, 5044, 14744, 1038, 737, 284, 272, 1477, 1038, 1820, 263, 514, 1551, 5157, 29573, 1038, 2736, 1477, 825, 8640, 630, 329, 2525, 6352, 263, 514, 1551, 264, 543, 737, 2525, 271, 8029, 1038, 1820, 2891, 19368, 711, 6818, 538, 5044, 14744, 5897, 5897, 5897, 5897, 0, 26611, 16535, 270, 7090, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 18411, 9596, 547, 946, 7510, 300, 784, 334, 692, 825, 7510, 300, 784, 334, 2703, 338, 281, 2999, 10059, 2517, 777, 328, 6230, 784, 617, 321, 2593, 270, 7090, 270, 9690, 270, 11417, 825, 589, 2596, 1383, 568, 607, 5205, 563, 18257, 692, 1029, 10461, 1029, 815, 1412, 313, 28702, 2641, 28847, 5814, 533, 2096, 784, 334, 454, 5814, 533, 2745, 692, 332, 784, 334, 295, 739, 815, 1412, 29985, 10676, 7055, 332, 784, 334, 21545, 815, 476, 17734, 1704, 454, 332, 784, 334, 27165, 815, 1412, 639, 20713, 7055, 332, 784, 334, 27879, 5320, 815, 1412, 10139, 5320, 28847, 743, 1304, 815, 533, 2096, 784, 334, 8160, 784, 334, 5141, 1304, 263, 10676, 284, 332, 784, 334, 295, 739, 267, 2823, 284, 332, 784, 334, 21545, 267, 27024, 284, 332, 784, 334, 27165, 267, 10957, 284, 332, 784, 334, 27879, 5320, 994, 27219, 815, 7817, 6745, 652, 24174, 454, 3712, 3005, 815, 24563, 6745, 652, 8624, 3005, 7531, 258, 418, 493, 496, 24662, 14395, 508, 28032, 489, 454, 14006, 815, 13634, 476, 1412, 318, 573, 9166, 1412, 11687, 22779, 476, 1412, 27583, 9166, 1412, 11687, 22779, 476, 1412, 3667, 9166, 1412, 11687, 7696, 22779, 476, 1412, 11845, 9166, 1412, 1001, 279, 268, 6187, 268, 1691, 7055, 10926, 339, 787, 912, 825, 4015, 27044, 318, 821, 9638, 739, 994, 21955, 533, 2096, 784, 334, 269, 518, 5558, 6185, 340, 12393, 7659, 13286, 912, 825, 1820, 3488, 2704, 2819, 11540, 256, 5073, 12828, 912, 825, 1820, 3488, 14006, 256, 5073, 325, 3373, 912, 825, 533, 2745, 269, 653, 11781, 263, 3712, 3005, 26098, 318, 821, 20719, 262, 318, 573, 9166, 1412, 11687, 262, 348, 4917, 0, 5228, 10070, 1104, 9949, 18743, 454, 258, 1729, 1118, 513, 7755, 659, 1890, 1592, 692, 5035, 8641, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 13872, 1038, 1582, 3052, 1429, 284, 29239, 18743, 17338, 2020, 1038, 1948, 32697, 3113, 607, 606, 7755, 659, 1890, 1592, 7531, 825, 1219, 3773, 613, 4311, 267, 340, 267, 341, 17107, 1038, 1582, 3052, 1429, 314, 340, 4940, 6572, 17635, 2020, 1038, 1948, 10472, 1039, 6316, 547, 519, 3113, 692, 8931, 825, 1219, 546, 12028, 6665, 1243, 4311, 267, 341, 267, 6665, 1243, 17107, 1038, 1948, 5658, 6843, 607, 10272, 543, 1820, 621, 692, 1038, 10272, 314, 341, 24557, 12148, 454, 1038, 1820, 17635, 2020, 1038, 1948, 1234, 2017, 585, 782, 519, 14622, 11105, 547, 3097, 1038, 1948, 713, 14584, 692, 1038, 585, 1775, 538, 1582, 3052, 1429, 314, 341, 13912, 1948, 14725, 585, 1003, 540, 14622, 454, 2018, 952, 10272, 5157, 316, 2525, 16178, 912, 3546, 1582, 269, 4206, 338, 6665, 1243, 9217, 267, 6665, 1243, 9239, 825, 1219, 546, 12028, 4311, 2187, 1038, 26725, 284, 6352, 4311, 3052, 1429, 264, 258, 20135, 14622, 692, 1038, 1948, 5658, 782, 607, 711, 10272, 692, 1038, 10272, 17342, 16178, 316, 16732, 339, 341, 994, 13872, 1038, 1948, 11910, 519, 25276, 25961, 1599, 547, 1820, 3097, 453, 453, 258, 667, 12396, 21986, 531, 4358, 689, 782, 14622, 835, 3097, 453, 453, 258, 676, 835, 8528, 1038, 585, 1775, 538, 2039, 6025, 341, 2187, 2018, 952, 10272, 5157, 316, 2525, 16178, 912, 3546, 1582, 269, 4206, 338, 6665, 1243, 9217, 267, 6665, 1243, 2020, 1038, 1948, 604, 3113, 568, 711, 30890, 649, 21645, 991, 713, 8520, 454, 1038, 1948, 6665, 1243, 815, 1496, 16178, 316, 2608, 630, 6352, 4311, 3052, 1429, 4297, 3097, 453, 453, 258, 1345, 269, 5263, 24746, 339, 559, 17635, 267, 10272, 264, 8528, 258, 10852, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 9166, 3097, 825, 575, 284, 20877, 4590, 825, 1247, 263, 272, 2187, 1038, 1820, 2891, 272, 14491, 6316, 476, 273, 31428, 476, 274, 14714, 641, 5602, 1038, 1535, 25507, 9272, 15405, 1038, 952, 1535, 2525, 272, 912, 2018, 1820, 2891, 19152, 740, 613, 281, 5602, 2018, 513, 25507, 9272, 15405, 2018, 536, 25507, 9272, 15405, 2018, 575, 14491, 10955, 613, 5416, 14720, 2020, 1038, 8640, 1535, 2525, 273, 912, 2018, 575, 269, 4206, 338, 4590, 2018, 1820, 19629, 333, 15419, 1038, 8640, 1535, 2525, 274, 912, 2018, 2736, 692, 1038, 3116, 912, 2018, 3136, 454, 0, 5228, 1187, 551, 8962, 1104, 561, 745, 6831, 5995, 692, 287, 331, 745, 6831, 5995, 263, 1911, 271, 2020, 3698, 4017, 20906, 3799, 2187, 825, 952, 562, 2525, 272, 912, 1038, 2132, 476, 272, 454, 825, 8640, 562, 2525, 273, 912, 1038, 2132, 476, 272, 454, 825, 8640, 562, 285, 273, 912, 11434, 2132, 4017, 20906, 3799, 268, 272, 11924, 325, 756, 20906, 3799, 268, 273, 994, 343, 25507, 9272, 15405, 1721, 562, 538, 2039, 630, 272, 21726, 266, 272, 2187, 825, 1820, 3799, 2437, 24333, 325, 756, 20906, 3799, 11723, 258, 2875, 815, 314, 2891, 345, 1695, 597, 2580, 2641, 267, 276, 269, 272, 267, 272, 13211, 258, 9497, 339, 732, 330, 2580, 2420, 267, 276, 269, 276, 267, 273, 13211, 258, 9497, 904, 3873, 2580, 2537, 267, 276, 269, 272, 267, 274, 264, 6540, 258, 2450, 284, 14433, 2875, 281, 2875, 314, 272, 6540, 258, 2875, 31699, 31107, 284, 21653, 267, 516, 2091, 18989, 994, 258, 1820, 263, 30700, 264, 0, 3698, 7989, 583 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 543, 10943, 5793, 20178, 1137, 630, 288, 264, 941, 7074, 269, 6156, 539, 29821, 630, 6311, 264, 540, 519, 2634, 4951, 1896, 29769, 545, 15087, 538, 1312, 8280, 7371, 12742, 543, 1318, 6147, 31616, 630, 289, 1040, 853, 20942, 19905, 28857, 729, 31796, 689, 1973, 543, 6147, 321, 4592, 335, 1400, 5714, 269, 3690, 525, 23569, 20192, 18201, 25086, 7000, 513, 1804, 5378, 1537, 11896, 10664, 630, 290, 264, 799, 729, 13604, 6569, 4907, 1227, 630, 291, 267, 3046, 815, 476, 272, 4699, 1040, 589, 11632, 11571, 476, 274, 4374, 1310, 3355, 2589, 4951, 26252, 5250, 609, 4334, 19349, 543, 6825, 30046, 630, 292, 1916, 23966, 568, 3361, 676, 4551, 610, 13271, 602, 8936, 547, 543, 3441, 519, 1439, 18201, 1756, 610, 519, 14382, 4854, 11896, 543, 1332, 883, 3543, 725, 7893, 909, 547, 1896, 17744, 538, 2450, 269, 1403, 2451, 15860, 267, 9552, 540, 519, 2295, 11896, 6038, 5012, 547, 2295, 5821, 543, 2669, 269, 1290, 4124, 267, 552, 3052, 269, 8482, 267, 666, 8451, 950, 2377, 10008, 2736, 1055, 689, 519, 10664, 543, 29473, 2850, 1973, 8043, 267, 3056, 547, 1102, 541, 794, 540, 519, 4096, 656, 19548, 5160, 563, 300, 15412, 5735, 540, 594, 292, 454, 6624, 4551, 543, 13271, 666, 2014, 594, 292, 267, 930, 540, 799, 616, 7396, 609, 741, 2949, 4908, 540, 10072, 538, 7305, 476, 2537, 269, 273, 269, 7756, 4791, 2175, 3870, 1978, 17973, 267, 552, 3052, 269, 1318, 21758, 1439, 18201, 4345, 538, 13297, 3075, 3755, 568, 4122, 3361, 676, 853, 20942, 19905, 28857, 630, 285, 3199, 22103, 769, 2550, 609, 14382, 4854, 2295, 17901, 267, 2038, 268, 976, 564, 14382, 4854, 11896, 1439, 18201, 4345, 630, 11901, 292, 264, 630, 328, 4318, 269, 1447, 982, 476, 1321, 3275, 1310, 6391, 264, 568, 811, 1419, 3361, 676, 30243, 592, 848, 24308, 588, 20942, 25497, 857, 630, 1575, 547, 476, 2004, 260, 540, 782, 2665, 264, 982, 676, 590, 269, 28857, 543, 2205, 573, 753, 1895, 1792, 696, 25497, 857, 607, 568, 519, 2013, 538, 3735, 623, 12717, 1547, 4014, 16507, 13596, 616, 10355, 513, 2014, 540, 594, 292, 267, 15443, 5866, 610, 1306, 704, 326, 22346, 24094, 269, 949, 2049, 538, 6375, 665, 20234, 668, 2213, 2550, 563, 347, 309, 597, 573, 753, 1895, 1792, 696, 25497, 857, 1475, 2641, 260, 2008, 347, 1805, 516, 696, 19905, 7086, 32673, 639, 630, 306, 269, 536, 990, 529, 10534, 276, 260, 2008, 347, 294, 1090, 24308, 20659, 536, 659, 650, 328, 630, 10175, 4551, 540, 519, 670, 19781, 298, 1895, 265, 10534, 273, 260, 2008, 26180, 2426, 328, 630, 324, 3052, 269, 15443, 5866, 24094, 1421, 1306, 704, 326, 22346, 24094, 4700, 1475, 272, 260, 2008, 27039, 593, 519, 1757, 894, 7103, 1114, 4791, 6030, 666, 581, 4767, 269, 590, 269, 28857, 543, 1447, 4749, 6790, 696, 19905, 16415, 324, 267, 543, 9373, 27627, 576, 2801, 971, 607, 18521, 615, 747, 807, 19546, 610, 21890, 2125, 328, 7578, 16415, 324, 267, 616, 2404, 609, 606, 8650, 1576, 543, 1164, 9019, 630, 328, 4318, 269, 8650, 1439, 18201, 4345, 1040, 14904, 609, 594, 292, 1813, 547, 4283, 25497, 857, 610, 2205, 573, 753, 1895, 1792, 696, 25497, 857, 2356, 1867, 1896, 4374, 540, 2589, 1354, 513, 4791, 5868, 568, 1500, 630, 328, 4318, 269, 1016, 659, 1393, 1439, 18201, 4345, 1916, 32747, 19809, 543, 26616, 7600, 4997, 538, 594, 292, 454, 32747, 4191, 543, 2589, 585, 594, 292, 616, 3810, 4756, 543, 1419, 22801, 269, 674, 1197, 267, 2295, 9597, 332, 584, 267, 4731, 320, 1047, 267, 30604, 267, 2597, 2530, 267, 3781, 4418, 1846, 267, 543, 1250, 28101, 949, 610, 949, 711, 2049, 269, 634, 4791, 1576, 666, 581, 8650, 610, 1016, 659, 1393, 630, 5408, 1657, 1040, 4475, 267, 594, 292, 568, 1419, 6444, 3735, 267, 552, 3052, 269, 950, 8374, 723, 7018, 563, 2414, 7520, 5868, 540, 594, 292, 267, 10368, 7355, 723, 1044, 2919, 269, 3245, 519, 2164, 540, 519, 4791, 6514, 267, 1973, 4529, 267, 543, 16953, 9196, 630, 2181, 2536, 2406, 1098, 525, 23569, 20192, 18201, 25086, 267, 570, 7417, 264, 513, 4791, 6060, 568, 6508, 602, 6257, 519, 10171, 540, 594, 292, 538, 513, 1808, 3461, 630, 324, 3052, 269, 9168, 16099, 7355, 267, 1294, 13340, 476, 2537, 269, 272, 1916, 763, 5868, 540, 594, 292, 568, 17386, 950, 630, 272, 264, 27690, 8276, 2222, 6798, 1670, 6514, 540, 10664, 2982, 3742, 1439, 18201, 4345, 267, 630, 273, 264, 1079, 2101, 7355, 267, 610, 630, 274, 264, 835, 2101, 543, 1614, 5634, 267, 610, 630, 275, 264, 2947, 5634, 7355, 616, 1558, 269, 594, 292, 568, 2009, 950, 630, 272, 264, 835, 2101, 543, 835, 5634, 610, 630, 273, 264, 1614, 5634, 7355, 616, 1558, 269, 898, 568, 15653, 950, 630, 272, 264, 513, 6109, 4244, 5868, 7713, 2963, 540, 594, 292, 267, 610, 630, 273, 264, 6571, 540, 594, 292, 6794, 609, 18016, 275, 2395, 540, 4550, 2173, 17853, 2126, 267, 610, 630, 274, 264, 1100, 27690, 2963, 540, 594, 292, 693, 6391, 610, 1313, 641, 1910, 609, 18016, 275, 2395, 540, 4550, 2173, 17853, 2126, 267, 610, 630, 275, 264, 7355, 585, 2009, 610, 17386, 594, 292, 616, 711, 1558, 563, 26108, 2528, 2318, 585, 594, 292, 454, 23777, 673, 2890, 6716, 1143, 5812, 609, 594, 292, 9678, 689, 1079, 5094, 1973, 4529, 630, 341, 597, 573, 753, 1895, 1792, 696, 25497, 857, 267, 6790, 696, 19905, 7086, 32673, 639, 630, 2181, 16227, 590, 269, 536, 990, 529, 1070, 670, 19781, 298, 1895, 267, 853, 20942, 19905, 28857, 267, 610, 2146, 14092, 638, 1600, 4283, 25497, 857, 267, 538, 519, 9000, 540, 513, 3119, 1445, 5148, 610, 454, 332, 2222, 6716, 1143, 5812, 609, 594, 292, 689, 6414, 1836, 2318, 1973, 4529, 630, 3698, 1441, 607, 693, 2547, 1079, 2318, 4529, 540, 1973, 5439, 6537, 3436, 1321, 3108, 6306, 282, 610, 782, 540, 1614, 610, 513, 5354, 540, 2185, 610, 811, 5094, 4529, 540, 1973, 267, 609, 1101, 543, 2063, 3732, 6537, 693, 2547, 476, 272, 5662, 6306, 5148, 610, 454, 338, 17532, 2318, 1973, 2528, 585, 30532, 328, 7578, 6633, 564, 4512, 610, 606, 4550, 25686, 594, 16384, 294, 17193, 512, 3438, 630, 285, 272, 281, 8517, 994, 18128, 2064, 540, 1439, 18201, 658, 9525, 454, 292, 577, 18201, 328, 6945, 2318, 585, 594, 292, 265, 3989, 607, 5205, 281, 14251, 908, 703, 2350, 731, 13519, 2527, 593, 11896, 610, 5885, 3889, 267, 538, 519, 2619, 540, 1036, 4026, 26938, 32062, 267, 610, 593, 5579, 5896, 1570, 538, 519, 9000, 540, 606, 4244, 20133, 5669, 7778, 282, 26252, 282, 1007, 9864, 632, 327, 4593, 775, 540, 14382, 4854, 11896, 282, 610, 454, 2908, 1130, 341, 983, 1036, 4026, 2787, 630, 342, 832, 2287, 610, 4657, 540, 840, 25365, 9597, 332, 584, 711, 6190, 994, 303, 1042, 529, 6570, 630, 335, 1042, 529, 19397, 2295, 2783, 610, 13297, 3075, 946, 994, 293, 1197, 630, 339, 17687, 3436, 4343, 9180, 994, 28899, 27555, 2377, 10008, 267, 23170, 17422, 1102, 541, 551, 338, 267, 1250, 322, 5328, 31729, 332, 267, 703, 2350, 31424, 20178, 720, 267, 31792, 2526, 20178, 720, 267, 543, 3967, 1168, 599, 15087, 454, 10908, 9593, 592, 517, 32397, 8539, 267, 14642, 2401, 9136, 267, 681, 1054, 9634, 267, 543, 27131, 3815, 454, 31339, 1973, 2528, 267, 855, 1281, 711, 2743, 513, 2101, 21205, 1262, 610, 1583, 1670, 2963, 540, 3742, 3968, 609, 11248, 5812, 609, 594, 292, 454, 292, 577, 18201, 328, 4919, 5634, 21205, 17515, 454, 265, 3690, 525, 23569, 20192, 18201, 25086, 630, 307, 7417, 264, 5227, 538, 2550, 609, 14382, 4854, 17901, 267, 15951, 693, 2547, 968, 335, 6372, 594, 292, 892, 676, 4791, 7355, 267, 610, 7294, 594, 292, 630, 1706, 10052, 341, 983, 26252, 1040, 570, 15288, 607, 1101, 1449, 538, 824, 2550, 563, 10468, 9951, 673, 8374, 540, 594, 292, 616, 1455, 630, 12671, 476, 736, 1700, 2412, 8472, 543, 616, 2404, 609, 513, 8338, 6364, 1496, 1691, 267, 476, 1428, 4940, 1358, 1331, 8482, 267, 703, 2350, 31424, 610, 1016, 541, 778, 333, 18042, 20178, 720, 267, 23971, 4345, 267, 17465, 267, 29363, 14527, 267, 2634, 26252, 267, 543, 1250, 322, 5328, 31729, 332, 630, 325, 7528, 4293, 538, 7305, 476, 2537, 269, 274, 1040, 3509, 14715, 8374, 949, 979, 29462, 269, 769, 513, 1353, 676, 590, 5500, 1375, 5336, 691, 514, 1696, 620, 269, 6147, 15842, 341, 6018, 2621, 941, 9571, 676, 18909, 538, 476, 4792, 260, 540, 2550, 609, 2451, 21758, 594, 292, 267, 855, 4791, 2589, 941, 4767, 538, 1152, 476, 3374, 260, 540, 2550, 4586, 347, 22102, 2377, 4301, 8374, 1475, 6078, 260, 2008, 347, 9556, 4733, 270, 572, 3164, 2377, 4301, 8374, 1475, 1626, 260, 2008, 347, 13553, 776, 547, 2377, 4301, 2680, 1475, 274, 260, 2008, 31340, 340, 696, 3293, 1250, 322, 5328, 31729, 332, 1475, 273, 260, 2008, 26073, 14003, 540, 594, 292, 454, 23966, 568, 519, 1267, 540, 513, 1950, 5872, 1063, 2890, 6716, 1143, 267, 5119, 6675, 267, 543, 6676, 7410, 693, 519, 3135, 540, 1439, 18201, 658, 1591, 3441, 269, 634, 2619, 19398, 8344, 1184, 666, 581, 5258, 883, 1896, 5933, 281, 5250, 540, 1875, 1532, 17424, 24405, 5328, 1439, 18201, 4345, 630, 301, 6630, 292, 1070, 9190, 17091, 540, 519, 27295, 267, 543, 2208, 883, 3543, 725, 4586, 17484, 18201, 658, 3441, 568, 519, 4358, 1448, 540, 594, 292, 31630, 269, 898, 568, 3361, 676, 22787, 610, 9715, 2295, 3676, 602, 616, 2404, 609, 513, 24360, 1973, 2095, 269, 3973, 267, 27417, 514, 543, 6676, 7410, 616, 20024, 593, 911, 15436, 1242, 24690, 26375, 267, 799, 2164, 538, 715, 6630, 292, 269, 5843, 13060, 602, 723, 6591, 1569, 547, 519, 18072, 630, 321, 716, 699, 8926, 264, 543, 4865, 519, 2556, 2205, 18834, 2188, 949, 1631, 3935, 1125, 519, 27295, 267, 9062, 267, 543, 1291, 547, 594, 292, 563, 288, 7928, 2014, 540, 536, 716, 699, 8926, 568, 3441, 540, 519, 2960, 610, 513, 11940, 657, 531, 2627, 269, 634, 2960, 543, 11940, 657, 531, 7252, 267, 971, 607, 5711, 13570, 267, 13439, 2684, 28449, 267, 16063, 8778, 267, 23443, 628, 571, 267, 610, 29199, 267, 616, 20651, 676, 513, 10053, 1439, 18100, 18508, 609, 1082, 3309, 9190, 2249, 269, 4634, 513, 5634, 8194, 971, 607, 5694, 17678, 267, 513, 5694, 10868, 267, 610, 513, 3935, 545, 23707, 949, 1291, 547, 513, 10151, 5305, 540, 4551, 883, 519, 18072, 630, 10520, 1304, 536, 716, 699, 8926, 1916, 5475, 2348, 6591, 1569, 547, 519, 18072, 267, 594, 292, 27351, 6748, 13596, 15666, 547, 519, 715, 6630, 292, 269, 1520, 1127, 542, 547, 27417, 514, 543, 6676, 7410, 610, 547, 519, 2627, 540, 2564, 3457, 267, 971, 607, 5841, 2295, 17901, 267, 568, 19658, 676, 15451, 2627, 3334, 9301, 23287, 5119, 6675, 630, 5960, 10135, 4456, 300, 1070, 1082, 540, 799, 723, 1044, 4857, 538, 588, 20942, 25497, 857, 267, 1792, 696, 25497, 857, 267, 543, 4283, 25497, 857, 563, 16729, 28455, 267, 4551, 12954, 519, 18254, 540, 2417, 27417, 514, 543, 6676, 7410, 543, 513, 694, 7672, 26654, 568, 4646, 267, 799, 554, 1938, 4551, 689, 519, 3984, 6375, 1670, 8878, 269, 634, 14471, 17297, 4733, 543, 3132, 513, 5394, 11940, 559, 698, 29532, 30713, 21839, 728, 5119, 799, 568, 1572, 6915, 28291, 269, 769, 513, 6915, 28291, 1447, 982, 476, 1015, 260, 540, 4551, 7941, 8362, 543, 30506, 547, 1591, 3774, 268, 5562, 4550, 2173, 15412, 10118, 971, 607, 12498, 2000, 716, 4461, 543, 25026, 2100, 696, 1938, 568, 8519, 269, 4595, 4550, 2173, 15412, 10118, 991, 547, 23309, 519, 6915, 28291, 547, 3914, 519, 9190, 9072, 267, 6099, 4550, 2173, 17853, 2126, 609, 1164, 1673, 846, 3566, 20141, 8069, 568, 2629, 585, 513, 3811, 3797, 540, 594, 292, 563, 26073, 8328, 31469, 31327, 547, 853, 6593, 538, 594, 292, 454, 306, 614, 850, 610, 23170, 2377, 10008, 602, 22132, 689, 3543, 725, 543, 29473, 2850, 19548, 16209, 616, 513, 1455, 2014, 540, 8482, 538, 594, 292, 269, 6764, 1515, 618, 540, 519, 19548, 1973, 2095, 666, 1291, 547, 513, 23644, 29769, 545, 4323, 630, 2316, 288, 264, 610, 8482, 269, 13689, 593, 519, 31338, 543, 8653, 540, 4389, 1973, 2095, 267, 17122, 4791, 4191, 2049, 269, 1879, 2789, 2377, 10008, 29473, 2850, 1896, 4830, 8043, 267, 12947, 5914, 4791, 4191, 949, 1831, 7805, 563, 763, 2707, 540, 2377, 10008, 547, 519, 3844, 8401, 1062, 568, 2356, 519, 2451, 2295, 267, 689 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9875, 713, 1032, 543, 581, 5462, 547, 2744, 930, 4324, 269, 769, 14713, 267, 596, 1058, 25525, 3585, 979, 4464, 2864, 982, 18956, 269, 898, 12582, 1405, 581, 602, 267, 834, 2691, 596, 723, 6594, 13221, 585, 835, 1032, 267, 519, 17700, 568, 1318, 538, 4395, 540, 596, 269, 1879, 596, 6594, 13221, 585, 4557, 1296, 267, 519, 17700, 568, 2484, 2476, 593, 519, 16880, 1701, 1411, 11129, 547, 581, 811, 24526, 543, 811, 25442, 609, 1142, 8429, 1554, 269, 8307, 1287, 786, 596, 723, 930, 22920, 563, 296, 723, 1776, 4062, 540, 1434, 3377, 547, 2995, 3025, 269, 1284, 723, 1079, 645, 6062, 802, 327, 639, 945, 616, 3257, 513, 834, 22764, 3268, 835, 6367, 257, 31145, 547, 22208, 538, 1931, 547, 7281, 585, 1158, 4708, 269, 3767, 972, 786, 711, 581, 1022, 1390, 12469, 538, 519, 1158, 269, 1703, 1522, 581, 930, 5634, 32657, 2355, 267, 855, 4986, 547, 5855, 827, 269, 1452, 1079, 645, 6062, 802, 327, 639, 723, 20328, 519, 29500, 540, 22038, 267, 1818, 621, 865, 602, 972, 616, 1454, 7864, 1004, 12955, 538, 519, 1158, 982, 972, 1058, 723, 1044, 269, 15526, 693, 7108, 13738, 3933, 2120, 344, 1058, 581, 3222, 540, 713, 267, 2523, 2094, 1079, 4374, 3516, 267, 649, 782, 1500, 513, 12247, 602, 16382, 519, 6367, 532, 26112, 941, 267, 621, 1223, 4764, 972, 2901, 519, 1554, 1354, 610, 519, 1554, 1310, 789, 941, 972, 267, 855, 711, 4764, 1247, 789, 941, 972, 269, 2107, 267, 621, 1223, 4764, 693, 3781, 267, 855, 711, 1282, 519, 24817, 267, 610, 3116, 621, 1131, 1118, 621, 1360, 3765, 30514, 585, 873, 269, 1452, 2175, 723, 2907, 1044, 24009, 269, 2991, 649, 1500, 602, 12247, 267, 972, 729, 1100, 811, 4764, 267, 855, 1152, 513, 2370, 20893, 269, 674, 690, 568, 711, 1454, 540, 513, 1966, 267, 855, 621, 1131, 581, 1732, 952, 519, 20893, 8709, 1639, 607, 1134, 269, 2334, 1131, 1118, 621, 4443, 585, 873, 547, 4163, 856, 741, 12247, 563, 5472, 540, 596, 1058, 1589, 621, 936, 281, 6736, 782, 519, 7092, 602, 789, 723, 547, 979, 998, 267, 789, 1869, 979, 6619, 543, 4019, 4674, 538, 14713, 269, 1215, 1281, 938, 973, 2787, 540, 519, 17700, 781, 2012, 16280, 5635, 547, 602, 286, 898, 666, 1405, 581, 2808, 7092, 676, 1022, 1797, 269, 4475, 267, 649, 11129, 547, 973, 924, 29367, 865, 649, 666, 12492, 519, 17700, 5589, 2787, 6341, 611, 6062, 563, 5475, 519, 11000, 568, 936, 267, 649, 786, 798, 519, 4279, 3690, 12401, 540, 8585, 527, 269, 3962, 835, 540, 596, 1058, 3142, 8521, 513, 3020, 267, 25442, 267, 543, 759, 5193, 2295, 547, 4483, 519, 20519, 269, 5213, 1405, 1577, 519, 942, 1780, 676, 538, 642, 664, 563, 2414, 581, 4797, 0, 2969, 307, 2894, 3582, 281, 634, 1007, 1753, 540, 519, 7913, 5983, 985, 923, 26264, 568, 693, 4179, 2517, 1150, 985, 923, 342, 5942, 11859, 344, 345, 28918, 23010, 267, 621, 781, 513, 25064, 2012, 267, 855, 621, 729, 10464, 563, 1607, 530, 5942, 786, 581, 2469, 22356, 18385, 538, 519, 2282, 2104, 269, 1323, 3169, 4266, 786, 581, 9307, 4166, 269, 11289, 596, 585, 1373, 513, 851, 540, 713, 2146, 563, 2252, 596, 6999, 547, 960, 593, 519, 1007, 2062, 985, 923, 342, 5942, 267, 5225, 6443, 519, 5616, 6828, 2062, 985, 923, 342, 5942, 3146, 9799, 454, 21886, 11736, 568, 513, 1797, 547, 1073, 325, 19895, 622, 1239, 606, 11769, 16858, 547, 2149, 547, 519, 1448, 621, 786, 1491, 513, 3791, 5428, 9645, 942, 547, 1569, 630, 20657, 7973, 264, 621, 269, 634, 2409, 540, 14238, 4268, 689, 18839, 524, 760, 1667, 547, 811, 2413, 2409, 971, 607, 3059, 524, 760, 1667, 799, 946, 606, 5690, 547, 1073, 325, 19895, 622, 519, 1239, 269, 4495, 519, 1239, 568, 24290, 621, 568, 1287, 5219, 547, 607, 29905, 1257, 269, 0, 294, 7275, 19663, 9669, 543, 31876, 454, 296, 2899, 13347, 519, 1753, 9174, 6194, 9992, 24471, 676, 6031, 602, 267, 607, 2484, 594, 729, 7255, 267, 9174, 2501, 689, 966, 4345, 24064, 32070, 543, 4986, 3116, 269, 12344, 594, 729, 15198, 513, 1448, 547, 1118, 1776, 267, 855, 519, 18812, 341, 710, 814, 26837, 22239, 3177, 18495, 609, 811, 5418, 553, 9092, 6704, 585, 811, 1296, 982, 1022, 824, 2030, 593, 519, 4541, 269, 898, 568, 2653, 547, 1332, 18812, 341, 1149, 13964, 9170, 602, 2833, 21230, 7646, 24475, 269, 1809, 547, 1332, 873, 1134, 2614, 547, 3132, 513, 18397, 7693, 2115, 2864, 811, 1416, 267, 543, 1247, 596, 6157, 666, 1118, 9174, 689, 4677, 3766, 3497, 18683, 267, 707, 1292, 1966, 786, 581, 835, 540, 2348, 4055, 547, 1332, 2614, 1729, 1118, 519, 3635, 26656, 269, 594, 4927, 13404, 267, 4061, 267, 593, 3395, 9205, 543, 8511, 30676, 585, 16434, 18397, 4829, 2504, 563, 19615, 6730, 570, 24688, 2464, 5508, 16998, 4338, 292, 454, 294, 7275, 3395, 585, 9174, 2504, 729, 5432, 547, 782, 540, 519, 3504, 3540, 31907, 543, 267, 4352, 519, 5169, 540, 519, 3552, 2030, 568, 7164, 267, 621, 4440, 1101, 8057, 538, 5045, 3887, 770, 2342, 610, 5045, 29891, 5607, 269, 3400, 701, 3395, 3262, 5087, 2072, 543, 7178, 2072, 267, 8757, 6628, 543, 824, 811, 14926, 615, 569, 2694, 540, 7262, 2342, 609, 519, 14564, 269, 4595, 1287, 267, 972, 723, 3592, 2141, 1044, 930, 11903, 29288, 538, 6628, 4352, 789, 723, 1044, 11658, 547, 519, 3665, 5045, 1282, 5712, 540, 20296, 4411, 563, 763, 1975, 8643, 1841, 3576, 30676, 547, 3345, 3013, 4352, 972, 616, 5065, 1977, 2249, 267, 1034, 16113, 966, 4345, 594, 629, 6350, 1723, 267, 966, 4345, 4232, 1495, 604, 16288, 543, 966, 4345, 8353, 2526, 529, 267, 602, 723, 8329, 1880, 4162, 547, 930, 2413, 8677, 269, 11524, 723, 1044, 1031, 547, 1020, 3597, 18450, 8677, 267, 2523, 1346, 602, 4159, 4187, 547, 519, 3597, 21428, 573, 6438, 11641, 24695, 961, 2135, 5028, 269, 901, 13442, 12303, 21933, 3438, 730, 3864, 11903, 29288, 538, 519, 3735, 5991, 12078, 2540, 543, 729, 7753, 1152, 676, 1210, 11259, 1977, 3597, 560, 4169, 5196, 799, 519, 1655, 543, 1034, 5402, 5697, 3864, 8677, 941, 21910, 539, 269, 4014, 513, 13357, 693, 519, 942, 267, 621, 7142, 513, 11826, 649, 5338, 856, 540, 2025, 543, 5266, 24631, 8677, 563, 3383, 559, 585, 18683, 1590, 581, 15417, 267, 5848, 543, 1134, 27071, 269, 1358, 786, 711, 8853, 538, 1360, 6094, 267, 791, 1478, 1639, 11934, 6862, 538, 1718, 1431, 267, 855, 30676, 20496, 9425, 1164, 30175, 6541, 543, 930, 540, 519, 1360, 1655, 18683, 2097, 689, 14680, 4609, 269, 21537, 2135, 1227, 267, 593, 25879, 344, 11934, 267, 811, 15755, 18812, 10433, 568, 3812, 269, 4014, 621, 568, 2009, 547, 1332, 18812, 341, 1149, 538, 11149, 267, 713, 568, 568, 2731, 1152, 25685, 950, 789, 616, 8036, 16887, 607, 4441, 282, 2407, 13355, 30676, 267, 1256, 1346, 6738, 538, 2073, 616, 1454, 1732, 12630, 538, 519, 2666, 267, 23295, 1175, 3544, 519, 2777, 609, 519, 1292, 6565, 8036, 538, 998, 513, 1507, 8559, 563, 294, 1905, 525, 1590, 723, 14246, 269, 20290, 782, 519, 2101, 9174, 3395, 4525, 540, 519, 1158, 9114, 1063, 4234, 6421, 476, 1789, 4113, 543, 476, 2004, 4113, 269, 1733, 12241, 713, 5088, 806, 1034, 540, 519, 2136, 2276, 267, 621, 608, 11079, 4516, 267, 6628, 543, 7187, 2342, 799, 616, 1932, 4411, 267, 543, 1034, 540, 4000, 543, 5245, 799, 616, 1932, 3905, 269, 21988, 18812, 3395, 13964, 5087, 540, 476, 2004, 4113, 301, 3340, 513, 12725, 3636, 267, 1352, 2741, 1229, 3135, 543, 513, 5045, 610, 5045, 29891, 2460, 267, 23295, 9425, 1863, 689, 2178, 12798, 269, 634, 3328, 4832, 2837, 1058, 581, 711, 1447, 982, 827, 476, 866, 9180, 630, 5780, 13790, 264, 543, 519, 3328, 5162, 2837, 711, 1447, 982, 827, 910, 272, 9180, 630, 1789, 13790, 1040, 769, 10651, 267, 18812, 341, 1149, 786, 3592, 2141, 581, 12630, 1996, 513, 3636, 3774, 2864, 982, 1863, 29280, 543, 713, 568, 519, 1505, 602, 594, 4782, 563, 763, 1292, 4170, 585, 18812, 8075, 616, 602, 789, 1058, 3068, 5045, 610, 5045, 29891, 543, 723, 6190, 2212, 4055, 547, 5512, 519, 2371, 547, 581, 8036, 5265, 269, 5637, 1863, 29280, 543, 10709, 3562, 3889, 616, 5078, 267, 4352, 519, 10709, 3562, 814, 519, 3773, 5413, 540, 2921, 14246, 689, 519, 7755, 334, 1456, 2679, 563, 4407, 513, 12699, 8511, 1131, 5512, 596, 547, 1332, 930, 540, 519, 20923, 1922, 15442, 10696, 18397, 18683, 630, 600, 784, 519, 865, 10777, 4053, 13906, 543, 15550, 748, 2516, 540, 8677, 1070, 594, 1810, 1406, 4363, 713, 269, 1358, 666, 581, 16602, 547, 1332, 543, 267, 540, 1576, 267, 519, 1942, 540, 3002, 2509, 519, 1439, 540, 519, 4005, 666, 581, 9645, 269, 476, 272, 18973, 7446, 519, 811, 25836, 8677, 585, 799, 1713, 8022, 568, 9444, 2556, 6862, 14909, 267, 543, 585, 799, 519, 8511, 1058, 23679, 581, 9738, 693, 513, 5934, 2837, 5594, 1657, 16171, 269, 6153, 14910, 568, 1360, 1271, 547, 7413, 663, 4829, 268, 8527, 1154, 22285, 338, 563, 12195, 3198, 16249, 6730, 9501, 3722, 5058, 454, 294, 7275, 341, 1149, 616, 1655, 12630, 538, 2038, 5162, 950, 789, 616, 4628, 26862, 269, 16259, 519, 9544, 2990, 609, 1134, 4232, 1540, 23226, 610, 11003, 543, 513, 1769, 19703, 540, 5642, 7594, 267, 543, 2030, 547, 519, 3178, 8612, 676, 873, 1046, 593, 519, 6565, 269, 32437, 519, 3037, 2476, 689, 519, 3490, 540, 519, 6565, 1310, 9544, 543, 1283, 909, 609, 513, 22890, 540, 11003, 267, 6978, 22285, 610, 23226, 269, 634, 9544, 2990, 1058, 581, 476, 736, 268, 1839, 9492, 630, 279, 268, 1015, 514, 264, 2476, 689, 519, 3774, 269, 5682, 5264, 30676, 616, 1655, 12630, 538, 4010, 519, 1482, 1259, 855, 1175, 3544, 835, 1439, 540, 519, 2777, 1287, 8036, 538, 998, 513, 8559, 538, 519, 3774, 269, 769, 1034, 10651, 543, 6157, 538, 1034, 3039, 17346, 267, 972, 786, 581, 2230, 585, 1152, 835, 2030, 282, 18812, 341, 1149, 616, 1582, 1922, 1068, 850, 865, 4829, 2504, 4465, 1406, 581, 4299, 269, 18830, 513, 1279, 3774, 13964, 2705, 267, 1141, 1079, 610, 811, 2371, 1223, 581, 6738, 267, 789, 1058, 581, 22274, 476, 273, 332, 630, 277, 1111, 264, 6306, 563, 24746, 13048, 3036, 4811, 267, 570, 6938, 2562, 5058, 6730, 11553, 7419, 5058, 454, 763, 1489, 585, 30676, 1590, 581, 7347, 267, 607, 513, 2030, 538, 2407, 6978, 543, 4829, 568, 1312, 5230, 543, 4439, 5652, 269, 18830, 513, 7299, 3774, 267, 8880, 12904, 1058, 581, 1031, 267, 22274, 476, 1789, 9492, 630, 1321, 514, 264, 6306, 909, 547, 519, 1283, 540, 519, 3774, 543, 12979, 1819, 609, 11903, 4064, 3458, 14954, 538, 547, 3774, 11690, 338, 269, 2422, 476, 1015, 15378, 2443, 476, 274, 269, 1428, 6515, 630, 272, 270, 279, 333, 264, 8006, 2443, 5068, 18396, 730, 2866, 5911, 269, 769, 513, 8511, 267, 519, 12904, 786, 991, 547, 581, 21401, 2059, 519, 3259, 540, 519, 2427, 6821, 540, 519, 2777, 543, 849, 4797, 909, 519, 8122, 9386, 267, 17956, 547, 519, 1350, 5074, 13063, 563, 2467, 616, 3875, 1949, 585, 2866, 18812, 341, 1149, 267, 930, 2919, 585, 1880, 8677, 267, 855, 594, 723, 1336, 1454, 519, 14724, 267, 1312, 538, 3039, 17346, 543, 13964, 547, 581, 513, 2596, 10260, 517, 610, 2241, 17611, 531, 1512, 1505, 269, 901, 568, 519, 1062, 594, 723, 6045, 1934, 269, 898, 568, 2653, 547, 1174, 630, 6518, 568, 811, 982, 666, 581, 1767, 585, 930, 540, 519, 5010, 2553, 1070, 3362, 2944, 543, 3947, 1434, 267, 5230, 7031, 563, 25539, 3633, 5058, 6730, 654, 2969, 21068, 454, 763, 3037, 538, 799, 596, 1332, 707, 30676, 12582, 1406, 581, 4847, 547, 3819, 856, 1247, 519, 4829, 616, 11926, 267, 543, 865, 519, 2371, 1058, 581, 15273, 3481, 538, 15489, 543, 5614, 543, 1287, 530, 23926, 2941, 13124, 538, 519, 4832, 269, 12315, 827, 476, 4097, 326, 829, 4009, 25451, 630, 272, 9926, 829, 4009, 13452, 264, 540, 513, 7059, 2489, 13226, 971, 607, 22320, 3467, 610, 267, 1973, 543, 5642, 538, 5614, 543, 513, 28106, 5277, 3049, 609, 1164, 1494, 1662, 1543, 1169, 1079, 4374, 1282, 519, 4832, 563, 312, 3658, 543, 4829, 2298, 786, 4268, 11104, 3585, 609, 519, 14246, 540, 519, 2916, 267, 1416, 2016, 547, 267, 8023, 543, 14450, 267, 519, 3903, 540, 3099, 543, 267, 540, 1576, 267, 519, 2230, 2139, 269, 3245, 513, 9921, 11903, 267, 1134, 25374, 585, 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 ]
[ 593, 707, 2115, 543, 593, 5355, 938, 5561, 262, 2228, 1995, 269, 1284, 16436, 596, 547, 2347, 519, 5619, 2630, 267, 543, 7494, 5660, 707, 3403, 607, 513, 12595, 6075, 540, 21942, 563, 2005, 786, 1152, 1491, 513, 8792, 610, 1079, 547, 2347, 269, 2659, 6114, 616, 14804, 543, 585, 1382, 5301, 1152, 563, 12648, 519, 5619, 1631, 2336, 12648, 519, 11752, 454, 4517, 1018, 649, 2811, 3257, 547, 2149, 707, 7834, 269, 0, 21093, 513, 23369, 4797, 2483, 2252, 596, 10093, 1406, 2907, 1044, 8995, 609, 27441, 267, 707, 4387, 786, 798, 513, 2960, 981, 269, 1403, 646, 14659, 596, 949, 723, 2960, 2860, 267, 596, 3513, 991, 513, 23707, 547, 1265, 856, 563, 2791, 2356, 1205, 835, 540, 1079, 2010, 912, 268, 623, 4875, 23707, 269, 901, 18788, 513, 5180, 4062, 540, 2960, 563, 268, 19196, 29850, 23707, 269, 2659, 4387, 3217, 856, 519, 3003, 2208, 563, 288, 4387, 786, 1413, 693, 519, 2208, 896, 513, 17209, 547, 1294, 875, 5394, 621, 568, 269, 15394, 267, 513, 23198, 10510, 1797, 519, 2860, 568, 811, 3978, 563, 2252, 596, 4312, 1044, 8995, 609, 27441, 267, 596, 949, 849, 723, 513, 1973, 1449, 543, 606, 9196, 1449, 547, 1294, 952, 621, 814, 3262, 547, 824, 2127, 563, 2467, 616, 1114, 2010, 540, 9196, 4255, 912, 268, 30446, 2473, 11920, 269, 901, 3096, 5982, 538, 1970, 13066, 547, 1118, 5961, 540, 519, 3330, 540, 707, 1560, 563, 268, 11632, 11571, 630, 26367, 1242, 29821, 1040, 898, 3096, 3532, 2473, 17530, 865, 707, 4387, 666, 1205, 513, 2143, 1413, 693, 1018, 781, 2469, 593, 3330, 596, 563, 268, 18909, 630, 332, 8568, 16982, 9196, 1040, 898, 3096, 3532, 22197, 543, 5925, 6329, 547, 1118, 5961, 540, 8219, 543, 3889, 3330, 707, 1560, 269, 898, 2337, 1397, 1973, 2095, 543, 666, 948, 12398, 2860, 1332, 2195, 563, 268, 27946, 11571, 269, 901, 1449, 3096, 14599, 1570, 547, 1413, 585, 4191, 540, 2860, 563, 763, 4387, 786, 849, 2638, 547, 1294, 952, 707, 9726, 9136, 616, 23762, 269, 700, 8233, 9136, 616, 21167, 13355, 15374, 896, 519, 2960, 538, 707, 8405, 267, 896, 15767, 267, 543, 9240, 514, 269, 634, 4387, 3096, 513, 6094, 13549, 547, 4894, 513, 3732, 540, 2281, 269, 901, 568, 1572, 513, 5386, 16250, 539, 548, 8321, 566, 23707, 563, 763, 4387, 949, 849, 798, 513, 2366, 514, 601, 6843, 23707, 269, 901, 18788, 519, 9726, 9136, 1034, 2693, 547, 723, 2860, 2281, 269, 769, 713, 1449, 267, 519, 4387, 7630, 338, 513, 20004, 883, 519, 1858, 1141, 519, 1761, 2860, 729, 269, 898, 19082, 547, 519, 14282, 9726, 9136, 267, 799, 616, 6569, 543, 7318, 269, 1403, 891, 9726, 9136, 267, 1572, 2366, 514, 601, 9136, 267, 1810, 1405, 723, 2860, 267, 1287, 621, 781, 2693, 519, 2860, 18387, 1405, 3262, 563, 763, 2164, 540, 891, 4255, 948, 519, 4387, 3313, 519, 3942, 540, 707, 2860, 543, 875, 7839, 621, 568, 563, 2791, 543, 646, 786, 6430, 593, 519, 1655, 2126, 1544, 2899, 596, 917, 602, 1344, 269, 0, 27736, 1684, 2859, 20537, 7591, 10632, 6732, 454, 2690, 1453, 6502, 476, 277, 268, 1556, 519, 1034, 1455, 2228, 2534, 568, 4730, 3756, 609, 476, 4366, 2600, 6031, 789, 1185, 2944, 865, 693, 2547, 2899, 538, 519, 2063, 3923, 2687, 547, 1007, 1239, 689, 5438, 1014, 3244, 332, 976, 269, 2755, 602, 568, 711, 513, 2101, 13414, 1018, 568, 9670, 568, 602, 476, 2641, 2600, 1767, 789, 1185, 1031, 519, 5769, 547, 798, 6780, 543, 1382, 563, 2710, 532, 6780, 2228, 16034, 3791, 538, 519, 1034, 1455, 2228, 2238, 585, 1453, 543, 18162, 3297, 519, 2034, 1034, 2442, 2534, 799, 568, 9683, 513, 5172, 5680, 3135, 609, 476, 1839, 2600, 540, 1453, 6031, 789, 1185, 2944, 865, 538, 519, 2250, 3923, 2687, 547, 519, 1239, 563, 5475, 8613, 519, 1079, 1034, 1271, 2010, 540, 2923, 585, 1453, 616, 3381, 3756, 543, 519, 5769, 2687, 547, 513, 5181, 476, 1220, 277, 1353, 676, 9650, 3333, 732, 269, 4033, 2010, 540, 2923, 971, 607, 14786, 267, 17476, 543, 5925, 24061, 1397, 909, 593, 1453, 779, 16986, 269, 634, 2601, 519, 5769, 16034, 267, 607, 606, 1271, 1106, 540, 2923, 585, 1453, 568, 602, 2636, 873, 547, 5968, 609, 741, 2828, 563, 4407, 3610, 949, 581, 8506, 1053, 547, 798, 6780, 2228, 3237, 616, 849, 8716, 741, 1453, 547, 946, 519, 5769, 585, 1382, 269, 4340, 547, 513, 5130, 476, 1220, 278, 1353, 676, 19162, 601, 1712, 517, 476, 7176, 2600, 540, 3237, 946, 519, 5769, 563, 324, 15812, 2678, 9193, 602, 519, 6871, 540, 476, 279, 3562, 268, 1556, 4458, 29419, 1210, 519, 5769, 786, 3914, 476, 10170, 2600, 676, 476, 1001, 271, 267, 909, 689, 476, 6858, 2600, 538, 476, 1220, 277, 269, 634, 1883, 585, 2344, 619, 568, 547, 2628, 3007, 547, 875, 713, 1895, 2242, 922, 5769, 6165, 936, 942, 563, 324, 15812, 2678, 9972, 25566, 1546, 6277, 773, 5261, 5459, 267, 2278, 540, 519, 570, 933, 839, 543, 1855, 839, 6732, 281, 3245, 631, 9222, 547, 3733, 22129, 1867, 267, 18304, 621, 909, 912, 257, 14294, 881, 656, 2242, 538, 2228, 6165, 1491, 1747, 607, 1453, 9921, 883, 12322, 2437, 3081, 15516, 269, 5261, 5459, 269, 834, 21930, 12322, 1063, 519, 6502, 540, 476, 1321, 543, 476, 1691, 6108, 811, 942, 2228, 982, 17408, 839, 6502, 476, 279, 268, 1556, 267, 543, 741, 4690, 22962, 543, 15052, 5330, 5944, 269, 1809, 789, 849, 946, 519, 5769, 547, 3251, 538, 5905, 609, 1919, 2443, 543, 1004, 2443, 789, 2907, 917, 1701, 0, 23530, 1949, 616, 1373, 8704, 693, 7366, 540, 3506, 2066, 519, 2136, 2276, 269, 30451, 946, 3859, 8440, 547, 4001, 1053, 827, 519, 968, 332, 4275, 2193, 892, 540, 1648, 21433, 689, 519, 3141, 269, 1809, 513, 6251, 1413, 693, 891, 3785, 2982, 4057, 9297, 543, 513, 2462, 3915, 585, 4961, 563, 12041, 281, 19378, 717, 648, 5069, 454, 763, 2257, 4843, 676, 519, 595, 10135, 268, 2862, 1867, 2047, 2591, 519, 8753, 540, 519, 7379, 6717, 269, 6987, 2400, 9263, 24595, 2963, 568, 4843, 602, 2916, 1689, 568, 2067, 543, 812, 13402, 7506, 616, 1507, 563, 290, 3916, 32236, 267, 519, 3661, 602, 812, 13402, 8511, 9362, 616, 21006, 3047, 779, 2916, 267, 568, 593, 519, 530, 2033, 269, 4495, 14964, 1164, 267, 519, 16809, 540, 812, 13402, 2916, 1689, 568, 9561, 922, 3310, 538, 6608, 314, 2507, 2639, 8310, 13628, 267, 519, 2475, 4972, 540, 519, 25181, 5950, 513, 8908, 11556, 602, 1131, 968, 652, 28344, 1455, 1606, 1619, 3106, 4441, 585, 17453, 5762, 1005, 593, 1857, 543, 4095, 3338, 1848, 7831, 11016, 267, 519, 2475, 314, 2507, 2639, 28606, 17067, 713, 3923, 267, 12590, 17294, 1546, 1998, 18536, 9307, 602, 1010, 1533, 6603, 519, 3804, 540, 476, 7742, 19251, 1177, 30476, 540, 8704, 3859, 1648, 4390, 269, 968, 2691, 649, 1305, 16529, 3853, 543, 1902, 538, 314, 2507, 2639, 8310, 3018, 267, 7585, 6153, 26245, 974, 630, 305, 13305, 320, 4700, 543, 824, 1876, 16234, 5189, 9086, 538, 519, 5600, 540, 24929, 10912, 585, 2101, 2242, 538, 519, 24997, 23556, 9208, 630, 305, 12396, 1040, 634, 681, 12396, 568, 519, 2601, 314, 2507, 316, 0, 303, 25459, 23154, 6730, 14298, 18426, 8863, 3198, 12283, 454, 15578, 595, 5861, 12171, 269, 814, 4371, 5604, 538, 32527, 520, 3832, 9774, 585, 3670, 1296, 267, 689, 476, 3707, 275, 547, 476, 4198, 271, 269, 898, 814, 1185, 519, 4316, 540, 11744, 547, 519, 1004, 540, 519, 11662, 607, 1134, 607, 547, 519, 1964, 540, 4516, 875, 3811, 513, 1007, 5428, 1759, 593, 519, 1489, 540, 519, 6705, 543, 4600, 666, 581, 538, 8876, 856, 922, 3853, 540, 513, 811, 11180, 2486, 269, 4706, 11566, 25931, 5354, 814, 5921, 602, 972, 941, 1906, 6101, 27047, 6493, 538, 519, 2619, 540, 15357, 532, 543, 740, 268, 14012, 532, 922, 1982, 563, 2005, 568, 6654, 602, 11180, 6963, 6608, 616, 811, 513, 1267, 982, 513, 2014, 540, 1514, 1689, 269, 1306, 513, 1267, 540, 2736, 23957, 538, 519, 5610, 540, 4540, 1871, 3889, 267, 2146, 544, 2803, 7930, 1689, 269, 634, 991, 585, 8763, 6101, 12250, 2242, 7930, 3587, 6444, 676, 1114, 31324, 540, 519, 2551, 945, 616, 28148, 4299, 676, 519, 15059, 538, 519, 2025, 2146, 5610, 269, 634, 3906, 610, 7606, 945, 15974, 15024, 602, 2408, 547, 6445, 519, 2115, 540, 32277, 3286, 539, 2516, 3094, 3310, 543, 267, 952, 519, 6433, 568, 7839, 267, 1379, 269, 769, 513, 7123, 9111, 267, 2705, 267, 519, 6963, 518, 786, 2744, 1379, 2356, 1310, 782, 2609, 267, 1256, 519, 811, 15061, 3283, 267, 5431, 519, 991, 585, 1689, 563, 6624, 7239, 267, 540, 1576, 267, 1831, 865, 18633, 538, 741, 2497, 602, 6876, 593, 7839, 15024, 568, 7543, 269, 901, 568, 1965, 268, 0, 15578, 29313, 292, 21815, 16774, 570, 6020, 3201, 540, 5518, 12448, 9652, 4843, 513, 9490, 7613, 602, 814, 8854, 29462, 538, 12583, 269, 14755, 6450, 583, 1154, 519, 1808, 10997, 1996, 1864, 267, 9652, 781, 8480, 1028, 9229, 519, 30664, 16670, 607, 513, 18670, 540, 519, 9139, 269, 1635, 519, 2470, 540, 1346, 10997, 267, 789, 733, 2105, 267, 519, 23312, 26991, 519, 16083, 17246, 27570, 6837, 547, 1780, 12014, 540, 12492, 1457, 269, 4521, 9807, 1310, 15818, 554, 2459, 1229, 593, 602, 6249, 267, 855, 711, 2899, 1705, 513, 5600, 15440, 16253, 269, 634, 2601, 5526, 6654, 281, 789, 9833, 16563, 607, 513, 1732, 4640, 982, 14955, 9109, 1424, 3954, 10118, 563, 1432, 568, 513, 3915, 540, 12492, 1457, 286, 634, 10966, 7040, 3989, 621, 538, 519, 1360, 1032, 540, 519, 9652, 30664, 16670, 267, 950, 519, 7040, 13351, 1524, 1079, 4031, 5293, 693, 519, 2673, 540, 519, 6406, 2782, 602, 2838, 17864, 543, 23464, 5443, 547, 1491, 14017, 522, 23411, 607, 513, 26608, 1288, 547, 8026, 741, 3924, 269, 590, 4660, 519, 7040, 538, 595, 17026, 902, 642, 269, 16713, 267, 8066, 519, 522, 987, 585, 17864, 547, 581, 538, 18670, 540, 519, 9139, 912, 21202, 3915, 540, 12492, 1457, 568, 513, 15424, 957, 799, 1102, 26555, 0, 763, 5545, 4323, 593, 23421, 23320, 1185, 922, 8129, 538, 513, 3395, 21087, 1143, 1063, 519, 2136, 2276, 543, 3567, 602, 1101, 2919, 1282, 2622, 2782, 594, 269, 4635, 4207, 6054, 267, 1053, 538, 713, 3992, 786, 2263, 519, 4473, 540, 1918, 13920, 1063, 519, 2136, 2276, 543, 3567, 563, 17457, 1977, 2486, 568, 1634, 585, 922, 6803, 4763, 267, 543, 713, 267, 540, 1576, 267, 568, 10630, 538, 513, 2647, 3099, 540, 1147, 12849, 269, 769, 713, 2534, 267, 1053, 786, 1451, 827, 519, 8129, 543, 10096, 540, 1147, 12849, 4122, 1031, 538, 519, 2136, 2276, 602, 17589, 689, 1875, 5174, 761, 880, 4529, 563, 5475, 513, 1279, 31939, 2066, 519, 717, 11893, 19164, 267, 3057, 1723, 2717, 334, 267, 1010, 4651, 267, 543, 1010, 11515, 6368, 8452, 693, 519, 1744, 836, 706, 267, 519, 4832, 19289, 540, 918, 28362, 2967, 16679, 269, 2311, 713, 942, 267, 1034, 540, 5607, 729, 896, 1852, 540, 519, 15216, 11169, 267, 513, 9930, 19631, 1004, 4171, 22657, 729, 538, 519, 717, 11893, 563, 11321, 1723, 2717, 334, 729, 593, 519, 2063, 1850, 540, 1010, 3460, 1753, 689, 3624, 547, 24131, 269, 2991, 9683, 1896, 694, 777, 2176, 538, 3127, 267, 646, 543, 1010, 5428, 30774, 2066, 519, 26768, 7256, 543, 547, 519, 5023, 540, 519, 14655, 13323, 267, 13941, 693, 519, 2823, 2749, 540, 26268, 15120, 267, 1141, 789, 4956, 547, 2951, 7532, 1189, 2066, 5607, 1739, 513, 2244, 8905, 563, 7628, 519, 5664, 12698, 267, 1034, 1004, 538, 2342, 6170, 741, 3003, 2729, 538, 519, 8498, 1141, 789, 941, 4535, 269, 1809, 538, 519, 476, 1724, 628, 2540, 267, 513, 1762, 7969, 3957, 3057, 1723, 2717, 334, 14612, 782, 519, 1259, 547, 3624, 256, 769, 713, 3992, 267, 1053, 786, 1451, 827, 519, 7415, 12599, 540, 3057, 1723, 2717, 334, 563, 6624, 2296, 10529, 616, 5432, 609, 519, 16130, 2262, 737, 12609, 267, 799, 1500, 922, 1259, 883, 519, 1893, 1282, 519, 1101, 3368, 540, 519, 13524, 2540, 269, 898, 568, 1419, 1031, 538, 2296, 547, 20206, 3634, 519, 2856, 602, 968, 6343, 4422, 1472, 2501, 1472, 1848, 901, 3992, 1544, 568, 2966, 547, 3142, 519, 2495, 540, 737, 12609, 543, 519, 1644, 1523, 540, 521, 4461, 4673, 547, 1272, 998, 519, 2542, 540, 519, 808, 31540, 24079, 563, 24375, 940, 538, 519, 476, 280, 628, 2540, 519, 10609, 1067, 10504, 267, 799, 729, 1759 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2338, 1535, 543, 586, 563, 2764, 269, 2422, 20113, 476, 2918, 543, 476, 2767, 547, 6961, 602, 3193, 12757, 267, 586, 348, 1341, 2381, 12757, 267, 586, 348, 21591, 343, 1341, 586, 585, 782, 1483, 2338, 1535, 543, 586, 780, 3066, 269, 2913, 521, 454, 272, 454, 267, 1547, 1547, 1547, 2073, 521, 454, 333, 454, 2041, 513, 5311, 692, 338, 15384, 325, 3539, 454, 5416, 264, 521, 454, 272, 454, 529, 513, 2318, 8870, 543, 521, 454, 333, 454, 529, 513, 2942, 8870, 2676, 6357, 264, 585, 782, 1775, 2073, 476, 272, 1775, 2999, 562, 267, 521, 454, 328, 1341, 272, 454, 284, 521, 454, 328, 454, 266, 272, 610, 521, 454, 328, 1341, 272, 454, 284, 521, 454, 328, 454, 272, 563, 3682, 557, 602, 972, 6818, 1775, 2073, 476, 272, 2999, 1775, 2999, 562, 267, 971, 602, 521, 454, 328, 454, 284, 476, 271, 563, 15612, 639, 1053, 786, 5431, 713, 3635, 607, 513, 15768, 454, 11437, 540, 519, 11810, 11532, 281, 1403, 535, 568, 513, 6024, 1599, 454, 517, 1496, 320, 267, 536, 316, 543, 535, 630, 320, 264, 3436, 476, 271, 543, 535, 630, 321, 264, 2999, 476, 271, 267, 1287, 535, 630, 322, 264, 815, 476, 271, 585, 930, 454, 322, 538, 630, 320, 267, 536, 1040, 1703, 616, 2147, 15997, 540, 519, 1079, 6898, 563, 1789, 269, 2598, 2889, 557, 519, 3948, 281, 1280, 1169, 2318, 8870, 562, 267, 562, 454, 273, 454, 273, 454, 333, 454, 563, 13528, 3634, 519, 7440, 540, 20113, 476, 27123, 276, 3090, 1227, 543, 632, 8894, 3410, 710, 2436, 1142, 568, 4570, 269, 2913, 454, 335, 281, 594, 1353, 2182, 269, 7117, 2433, 594, 1205, 1306, 269, 678, 2433, 594, 1205, 3638, 563, 4029, 269, 1403, 594, 1353, 2182, 267, 1287, 594, 1205, 1306, 563, 296, 1353, 2182, 563, 296, 1205, 1306, 563, 3953, 269, 1403, 594, 1353, 2182, 267, 1287, 594, 1205, 1306, 563, 2252, 594, 21645, 1205, 3638, 267, 1287, 594, 21645, 1205, 1306, 563, 296, 1205, 3638, 563, 3451, 269, 594, 1353, 2182, 952, 543, 1152, 952, 594, 1205, 3638, 563, 296, 1205, 3638, 563, 296, 1353, 2182, 780, 1012, 589, 5182, 1042, 3635, 6920, 513, 1966, 540, 1657, 8584, 2071, 546, 604, 322, 8372, 780, 1103, 845, 958, 267, 513, 5311, 568, 513, 1592, 540, 2609, 538, 799, 1931, 568, 3144, 883, 2272, 267, 865, 602, 521, 454, 272, 454, 529, 519, 678, 560, 3693, 2676, 338, 454, 273, 454, 529, 519, 2034, 3693, 267, 543, 865, 593, 269, 1284, 1459, 519, 6101, 3954, 819, 538, 8791, 476, 273, 269, 274, 563, 297, 28427, 321, 2795, 268, 2004, 274, 10037, 1433, 4873, 476, 2641, 267, 476, 1220, 275, 476, 2641, 281, 6246, 454, 272, 269, 276, 19577, 338, 476, 5392, 454, 4097, 269, 1403, 594, 1353, 2182, 610, 594, 1205, 3638, 267, 1287, 594, 1205, 1306, 563, 296, 1205, 1306, 563, 2252, 594, 21645, 1353, 2182, 267, 1287, 594, 1205, 3638, 563, 3374, 269, 1403, 594, 1353, 2182, 267, 1287, 594, 1205, 1306, 610, 594, 1205, 3638, 563, 296, 21645, 1205, 1306, 543, 594, 21645, 1205, 3638, 563, 296, 21645, 1353, 2182, 563, 1103, 20113, 476, 3607, 275, 271, 267, 2328, 519, 2016, 4661, 538, 1913, 543, 3313, 454, 31347, 1142, 4661, 568, 4570, 269, 2913, 454, 335, 281, 476, 275, 19251, 17879, 5052, 568, 1732, 982, 1100, 3965, 693, 782, 563, 336, 2433, 1284, 786, 4444, 811, 3965, 563, 337, 2433, 1284, 786, 4444, 513, 1007, 2780, 563, 3607, 269, 533, 678, 454, 335, 7117, 454, 335, 630, 337, 7117, 994, 4391, 269, 533, 630, 337, 7117, 994, 337, 7117, 454, 335, 678, 454, 4343, 269, 533, 678, 454, 337, 7117, 454, 336, 454, 4375, 269, 678, 533, 454, 337, 454, 335, 454, 2412, 269, 533, 678, 454, 337, 7117, 454, 335, 454, 336, 454, 29991, 2436, 1142, 4661, 538, 20113, 476, 6078, 476, 3393, 568, 4570, 563, 6078, 269, 533, 7117, 454, 335, 454, 336, 454, 5655, 269, 533, 7117, 454, 336, 454, 335, 454, 6246, 269, 533, 533, 454, 336, 454, 4510, 269, 533, 630, 336, 678, 994, 336, 630, 533, 678, 994, 263, 533, 7117, 264, 678, 454, 3393, 269, 630, 533, 7117, 264, 630, 337, 521, 994, 335, 678, 454, 336, 521, 454, 5379, 269, 8058, 602, 952, 454, 335, 454, 272, 454, 267, 533, 454, 273, 454, 270, 533, 543, 533, 267, 533, 454, 274, 454, 267, 1547, 1547, 1547, 2073, 533, 454, 333, 454, 270, 524, 454, 732, 4570, 7440, 267, 519, 4661, 454, 335, 454, 272, 454, 267, 533, 454, 273, 454, 267, 1547, 1547, 1547, 2073, 533, 454, 333, 454, 270, 524, 454, 529, 849, 4570, 563, 5325, 269, 19410, 593, 519, 1739, 4661, 912, 14503, 641, 6853, 12210, 4859, 568, 1732, 982, 4986, 563, 301, 5847, 568, 1732, 982, 513, 2182, 12210, 5397, 563, 14503, 641, 6853, 12210, 4859, 568, 1732, 982, 513, 2182, 12210, 5397, 563, 4366, 269, 21302, 519, 1739, 8292, 676, 561, 332, 10404, 23011, 661, 6975, 281, 3143, 454, 16591, 7260, 568, 1932, 1279, 269, 3143, 3983, 7260, 568, 2110, 2614, 269, 11146, 454, 8002, 1302, 568, 1434, 267, 855, 621, 568, 1932, 1279, 563, 2690, 1142, 4661, 538, 20113, 476, 275, 4817, 273, 267, 2995, 799, 4341, 540, 23221, 454, 529, 1031, 563, 5392, 269, 674, 5109, 568, 513, 2442, 7328, 269, 4475, 267, 695, 532, 568, 513, 2442, 7328, 454, 528, 22725, 4592, 572, 568, 3552, 569, 2442, 538, 4993, 563, 2004, 269, 1403, 695, 532, 568, 513, 2442, 7328, 267, 1287, 22725, 4592, 572, 568, 3552, 569, 2442, 538, 454, 30210, 269, 674, 5109, 568, 513, 2442, 7328, 269, 4475, 267, 22725, 4592, 572, 568, 454, 32612, 569, 2442, 538, 4993, 563, 7906, 269, 674, 5109, 568, 513, 2442, 7328, 610, 22725, 4592, 572, 568, 3552, 569, 2442, 538, 454, 30210, 269, 30086, 4592, 572, 568, 711, 3552, 569, 2442, 538, 4993, 269, 1703, 8894, 1150, 267, 695, 532, 568, 513, 2442, 7328, 563, 7367, 269, 5272, 7787, 1297, 568, 540, 519, 1106, 533, 270, 336, 267, 1141, 533, 543, 7117, 616, 454, 15759, 619, 269, 4475, 267, 476, 280, 269, 24833, 568, 540, 519, 1106, 533, 270, 336, 563, 1103, 20113, 476, 276, 3374, 279, 267, 2285, 606, 4661, 1210, 3652, 540, 23221, 547, 454, 19651, 602, 519, 3932, 5205, 689, 519, 19165, 563, 7871, 269, 23738, 12330, 281, 1403, 972, 568, 3154, 538, 519, 1286, 267, 1287, 594, 786, 979, 547, 519, 4558, 563, 2252, 594, 979, 547, 519, 4558, 267, 1287, 594, 786, 1205, 513, 14614, 269, 1703, 568, 3154, 538, 519, 1286, 563, 6962, 281, 594, 786, 1205, 513, 14614, 563, 7918, 269, 23738, 12330, 281, 1403, 972, 568, 3154, 538, 519, 1286, 267, 1287, 594, 786, 979, 547, 519, 4558, 563, 2252, 594, 979, 547, 519, 4558, 267, 1287, 594, 786, 1205, 513, 14614, 269, 594, 798, 711, 1205, 513, 14614, 563, 6962, 281, 1703, 568, 711, 3154, 538, 519, 1286, 267, 610, 519, 1286, 6771, 454, 529, 26843, 563, 4649, 269, 23738, 12330, 281, 1403, 808, 650, 666, 2206, 610, 667, 933, 14162, 548, 666, 1404, 267, 1287, 7629, 4444, 454, 1492, 11741, 1167, 269, 808, 650, 666, 2206, 269, 7629, 4444, 519, 11741, 1167, 6345, 563, 6962, 281, 7629, 4444, 519, 11741, 1167, 543, 519, 11741, 1167, 454, 16651, 563, 6321, 269, 23738, 12330, 281, 15526, 538, 519, 1362, 814, 513, 24275, 9498, 563, 25444, 945, 13757, 513, 24275, 20412, 1807, 17358, 519, 17693, 334, 8894, 13240, 3252, 269, 10390, 281, 25453, 773, 267, 945, 568, 538, 519, 1362, 2676, 16187, 338, 519, 25066, 3252, 563, 6872, 269, 23738, 12330, 281, 8230, 267, 513, 4759, 540, 519, 25315, 753, 267, 666, 5734, 519, 3440, 513, 1279, 454, 3118, 269, 15526, 945, 666, 5734, 519, 3440, 513, 1279, 1259, 666, 1118, 513, 2603, 454, 1993, 2724, 269, 10390, 281, 2368, 4759, 540, 519, 25315, 753, 666, 1118, 513, 454, 14309, 540, 2724, 563, 6812, 269, 23738, 12330, 281, 15526, 538, 519, 15768, 6128, 1362, 14560, 454, 16513, 338, 269, 25126, 538, 519, 15768, 6128, 1362, 814, 2760, 454, 339, 2586, 11810, 269, 10390, 281, 25126, 945, 14560, 15997, 814, 454, 6866, 3144, 11810, 563, 6795, 269, 8058, 602, 1110, 639, 17167, 839, 630, 5408, 7612, 476, 272, 269, 276, 269, 272, 264, 568, 4570, 563, 2568, 269, 8058, 602, 1840, 630, 5408, 7612, 476, 272, 269, 276, 269, 272, 264, 568, 4570, 563, 8618, 269, 8058, 602, 5187, 1709, 630, 5408, 7612, 476, 272, 269, 276, 269, 272, 264, 568, 4570, 563, 7830, 269, 8058, 602, 14966, 630, 5408, 7612, 476, 272, 269, 276, 269, 272, 264, 568, 4570, 563, 8287, 269, 8058, 602, 19858, 11382, 690, 1143, 630, 5408, 7612, 476, 272, 269, 276, 269, 272, 264, 568, 4570, 563, 5038, 269, 8058, 602, 771, 31019, 633, 11382, 690, 1143, 630, 5408, 7612, 476, 272, 269, 276, 269, 272, 264, 568, 4570, 563, 4792, 269, 8058, 602, 8471, 31633, 630, 5408, 7612, 476, 272, 269, 276, 269, 273, 264, 568, 4570, 563, 5780, 269, 8058, 602, 16650, 8216, 2747, 630, 5408, 7612, 476, 272, 269, 276, 269, 273, 264, 568, 4570, 563, 6858, 269, 8058, 602, 16650, 31633, 630, 5408, 7612, 476, 272, 269, 276, 269, 273, 264, 568, 4570, 563, 297, 28427, 321, 2795, 268, 2004, 274, 10037, 1433, 4873, 476, 2641, 267, 476, 1220, 275, 476, 2641, 281, 6246, 454, 2004, 3848, 476, 272, 20603, 543, 19577, 338, 454, 272, 269, 277, 22375, 19577, 338, 692, 1012, 769, 713, 3296, 267, 649, 786, 2328, 513, 536, 607, 705, 780, 4910, 1828, 568, 513, 6169, 4480, 6069, 676, 808, 269, 589, 269, 20484, 538, 476, 3422, 276, 630, 5408, 454, 314, 21659, 8657, 8079, 602, 5673, 593, 513, 2582, 4341, 912, 2252, 533, 7117, 543, 533, 678, 616, 1312, 3020, 267, 1287, 7117, 678, 568, 3020, 269, 630, 272, 269, 277, 269, 272, 994, 13750, 618, 630, 272, 269, 277, 269, 272, 264, 666, 581, 2357, 1221, 676, 1603, 519, 5168, 3349, 630, 5408, 11644, 476, 272, 1040, 5221, 454, 637, 1828, 5673, 593, 713, 2582, 267, 2241, 4341, 267, 621, 568, 519, 4493, 540, 1082, 2780, 3292, 454, 7474, 2601, 543, 6961, 5376, 916, 563, 1103, 513, 6169, 676, 6571, 267, 519, 19165, 543, 519, 3932, 616, 2854, 607, 21291, 563, 288, 743, 1021, 5161, 540, 2474, 9674, 676, 610, 338, 267, 1141, 1142, 2165, 529, 513, 4756, 610, 519, 2258, 566, 454, 1993, 513, 4756, 563, 7078, 476, 272, 269, 277, 269, 272, 634, 4082, 454, 320, 536, 524, 546, 454, 529, 513, 16083, 2094, 519, 2474, 513, 267, 536, 267, 524, 267, 543, 546, 616, 9674, 676, 610, 338, 543, 1142, 2165, 529, 513, 4756, 454, 528, 519, 2258, 566, 540, 513, 4756, 563, 7078, 476, 272, 269, 277, 269, 273, 634, 4082, 454, 15383, 530, 1990, 454, 529, 711, 513, 16083, 1256, 1498, 519, 2474, 616, 9674, 676, 610, 338, 267, 2094, 519, 2165, 27976, 5161, 540, 454, 18314, 4632, 2254, 513, 2582, 4756, 563, 7078, 476, 272, 269, 277, 269, 274, 634, 4082, 454, 335, 7117, 454, 529, 711, 513, 16083, 2094, 519, 2474, 616, 9674, 676, 1547, 3962, 2165, 568, 267, 2705, 267, 513, 4756, 563, 288, 1463, 6169, 676, 6571, 23131, 676, 14578, 7311, 630, 272, 269, 277, 269, 272, 264, 547, 8424, 540, 454, 8063, 906, 547, 17589, 1007, 6898, 2394, 519, 3932, 568, 6508, 269, 1879, 649, 4019, 454, 263, 272, 269, 277, 269, 272, 1070, 533, 1590, 581, 513, 2582, 4756, 267, 855, 7117, 543, 678, 666, 581, 7215, 269, 18564, 602, 950, 454, 263, 272, 269, 277, 269, 272, 264, 568, 4294, 547, 21291, 267, 519, 1267, 7117, 678, 568, 513, 16083, 269, 630, 7712, 7117, 543, 678, 1142, 2874, 540, 454, 614, 916, 9674, 676, 610, 338, 267, 1141, 1142, 2165, 568, 513, 4756, 610, 519, 2258, 566, 540, 513, 4756, 267, 7117, 678, 454, 10193, 5161, 540, 2474, 9674, 676, 610, 338, 267, 1141, 1142, 2165, 568, 513, 4756, 610, 519, 2258, 566, 540, 454, 320, 4756, 8094, 7078, 476, 272, 269, 277, 269, 275, 1284, 6961, 519, 1739, 1210, 6571, 912, 272, 269, 513, 536, 454, 273, 269, 513, 524, 454, 274, 269, 524, 546, 454, 321, 546, 454, 28274, 630, 272, 269, 277, 269, 272, 264, 547, 7215, 476, 272, 543, 476, 273, 267, 649, 17589, 454, 275, 269, 536, 524 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 494, 382, 378, 928, 3331, 494, 382, 378, 325, 519, 544, 383, 494, 382, 378, 560, 7986, 3979, 4892, 3331, 494, 382, 378, 325, 519, 476, 866, 628, 2540, 269, 30463, 5030, 3331, 495, 1700, 333, 555, 383, 495, 1700, 338, 2777, 267, 627, 383, 495, 1700, 577, 646, 3957, 595, 25729, 10830, 267, 9992, 383, 494, 382, 378, 332, 476, 6942, 278, 2394, 554, 383, 495, 1700, 338, 2669, 3331, 495, 1700, 333, 476, 6245, 276, 269, 623, 2075, 1117, 1164, 3331, 494, 382, 378, 333, 3331, 494, 4113, 14629, 9008, 267, 519, 3135, 3331, 494, 4113, 3149, 383, 494, 382, 378, 3091, 3331, 494, 4113, 27789, 2070, 3331, 494, 382, 378, 325, 519, 772, 2529, 269, 7167, 20738, 3331, 494, 4113, 526, 519, 6115, 667, 5861, 269, 6607, 1467, 563, 763, 19291, 30463, 2817, 19866, 13505, 3331, 495, 1700, 338, 4092, 3331, 494, 4113, 321, 383, 494, 382, 378, 583, 3331, 494, 4113, 4557, 18826, 3802, 9992, 383, 494, 382, 378, 332, 519, 1323, 659, 739, 807, 5450, 549, 6728, 267, 1498, 6972, 9992, 383, 494, 382, 378, 332, 519, 6728, 3331, 495, 1700, 338, 1419, 27209, 676, 2817, 26864, 1344, 4600, 3331, 494, 4113, 526, 15805, 3391, 2835, 267, 627, 383, 494, 382, 378, 4363, 2921, 3331, 494, 4113, 3454, 328, 563, 268, 589, 1715, 4750, 543, 6651, 1401, 5477, 281, 27991, 1901, 820, 7731, 779, 18321, 9578, 1715, 6481, 9615, 595, 675, 12312, 2986, 590, 1157, 548, 8426, 8376, 630, 306, 7374, 264, 4873, 476, 279, 267, 476, 1708, 274, 454, 268, 5695, 940, 476, 4792, 286, 13760, 2659, 24310, 18169, 4873, 476, 279, 267, 476, 1708, 274, 454, 268, 23225, 7910, 2103, 15233, 1280, 1133, 4310, 9466, 25966, 269, 8274, 18623, 4721, 4873, 476, 279, 267, 476, 1708, 274, 454, 268, 24918, 16076, 534, 9866, 12883, 476, 1911, 628, 17510, 1485, 282, 5589, 8712, 3571, 6796, 4873, 476, 279, 267, 476, 1708, 274, 0, 1692, 1705, 513, 1762, 7911, 689, 11882, 979, 593, 547, 1831, 835, 540, 519, 6574, 14912, 5716, 540, 782, 942, 286, 3367, 827, 519, 6909, 1272, 543, 4876, 540, 2274, 289, 1258, 6276, 538, 713, 1840, 547, 519, 1948, 272, 1715, 3840, 8648, 1655, 5498, 29818, 5808, 12984, 286, 3126, 563, 9213, 267, 2274, 289, 1258, 6276, 568, 606, 3486, 22530, 541, 945, 814, 4465, 2185, 715, 10621, 29073, 4721, 267, 12236, 1079, 16727, 4154, 1199, 1023, 267, 2854, 2835, 267, 543, 5182, 1042, 538, 3625, 321, 13831, 9413, 269, 1261, 814, 5129, 585, 519, 11968, 13353, 700, 5474, 267, 519, 24543, 14333, 267, 543, 519, 25350, 595, 10052, 4536, 267, 543, 814, 6591, 11655, 2066, 519, 2197, 607, 646, 3366, 1142, 540, 1346, 1614, 6887, 547, 11802, 269, 3509, 14912, 18798, 2015, 2274, 289, 1258, 6276, 547, 581, 835, 540, 519, 6574, 5716, 540, 782, 942, 269, 1809, 875, 1705, 2274, 289, 1258, 2097, 547, 581, 834, 21914, 6276, 8119, 4855, 856, 782, 827, 2274, 289, 1258, 781, 6689, 267, 875, 646, 3323, 4730, 14912, 693, 519, 2085, 540, 8370, 267, 543, 4682, 593, 547, 4341, 519, 5480, 538, 713, 1007, 1433, 585, 1762, 3988, 256, 19203, 5228, 519, 17404, 454, 12208, 3817, 476, 7818, 268, 4962, 280, 24783, 278, 4510, 274, 12698, 476, 279, 268, 1321, 454, 21292, 281, 12092, 267, 5026, 12092, 267, 14912, 267, 28910, 267, 8695, 543, 2367, 267, 3979, 1977, 543, 4563, 15923, 267, 4763, 267, 3309, 2835, 267, 476, 279, 1032, 2025, 267, 476, 280, 1032, 2025, 267, 476, 1015, 1032, 2025, 267, 476, 1556, 1032, 2025, 267, 476, 1321, 1032, 2025, 267, 851, 540, 513, 3126, 454, 9827, 538, 713, 3126, 281, 5808, 1772, 7812, 16888, 282, 5808, 12984, 918, 12786, 21563, 656 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2094, 519, 23636, 4465, 1406, 899, 873, 286, 4208, 711, 1904, 585, 513, 1447, 1857, 1242, 543, 1315, 610, 896, 3146, 572, 2117, 1117, 2962, 607, 513, 1259, 547, 1404, 909, 606, 5092, 6249, 610, 5823, 286, 1703, 1522, 581, 1447, 23440, 9186, 3710, 883, 519, 1576, 540, 2962, 269, 19452, 267, 952, 513, 7678, 532, 2872, 610, 6006, 568, 9846, 543, 9846, 17814, 538, 513, 2318, 1769, 267, 621, 1522, 581, 942, 547, 1376, 695, 3539, 2476, 689, 10115, 563, 1103, 891, 1806, 267, 9520, 666, 1404, 1312, 25213, 543, 8878, 609, 513, 2596, 1620, 540, 8965, 8804, 269, 0, 5415, 543, 811, 267, 3744, 7048, 593, 2757, 8733, 1702, 547, 1353, 2916, 1689, 563, 763, 918, 617, 328, 752, 11272, 5948, 568, 9750, 19558, 1077, 4390, 267, 543, 5356, 606, 24539, 547, 519, 18664, 965, 547, 1118, 519, 6521, 547, 3167, 3002, 563, 2304, 2038, 15835, 13050, 4266, 666, 1118, 585, 606, 2523, 3983, 30481, 4005, 267, 855, 713, 1032, 267, 621, 779, 1318, 593, 8430, 585, 1454, 540, 519, 1533, 563, 299, 21692, 29385, 267, 689, 25264, 267, 14311, 646, 1846, 1010, 1753, 609, 3574, 267, 538, 513, 15177, 2527, 22865, 563, 1103, 25264, 8022, 3282, 568, 606, 7199, 4244, 547, 2067, 3154, 269, 2334, 4229, 930, 7264, 547, 2015, 1447, 6671, 3681, 267, 899, 5755, 563, 763, 3141, 568, 2047, 936, 519, 20337, 267, 4758, 3160, 5666, 540, 21765, 543, 14334, 1472, 519, 1158, 563, 2467, 616, 513, 2603, 540, 8022, 3681, 269, 24542, 267, 2067, 3154, 267, 3574, 267, 5755, 2507, 1256, 18008, 26650, 3282, 269, 1809, 538, 1454, 540, 6917, 14522, 267, 543, 1256, 930, 4872, 267, 519, 3119, 8022, 2707, 568, 17088, 563, 2690, 6172, 520, 1670, 5162, 267, 14522, 729, 827, 5722, 5232, 1657, 3339, 563, 1103, 519, 2250, 267, 2916, 3631, 723, 17388, 547, 1921, 5836, 2175, 609, 1018, 4523, 538, 519, 5790, 269, 1809, 1079, 1007, 2090, 798, 513, 1454, 1732, 2816, 10503, 602, 3095, 563, 2791, 723, 547, 979, 1394, 936, 8938, 1296, 547, 1265, 513, 21617, 5162, 21396, 269, 0, 763, 25491, 19992, 634, 13159, 10552, 4032, 454, 12441, 596, 2347, 707, 5993, 2168, 286, 1411, 1185, 707, 4387, 779, 981, 267, 1973, 2604, 13761, 267, 2597, 16913, 543, 1973, 960, 6192, 269, 634, 9814, 6013, 538, 519, 2164, 540, 707, 2978, 1449, 2164, 269, 1548, 1281, 621, 782, 1611, 888, 7312, 4387, 814, 4956, 547, 2721, 513, 595, 6195, 269, 2806, 12934, 9911, 616, 1031, 538, 1072, 1416, 1604, 1932, 1082, 2053, 269, 2806, 12934, 9911, 267, 4352, 1360, 14845, 547, 519, 1875, 2173, 20510, 1268, 267, 519, 1072, 1416, 7426, 2911, 538, 28008, 1893, 269, 595, 6195, 267, 568, 849, 1634, 607, 519, 2347, 1973, 1293, 269, 898, 3947, 1271, 1344, 827, 519, 5686, 543, 2338, 540, 2281, 538, 519, 1973, 267, 2523, 519, 2699, 1973, 2281, 267, 3043, 1973, 2281, 267, 543, 6676, 7410, 269, 589, 595, 6195, 2337, 707, 4387, 2638, 1022, 2589, 267, 971, 607, 9854, 630, 339, 1600, 1145, 1070, 20015, 2358, 267, 543, 8467, 596, 949, 723, 269, 589, 595, 6195, 849, 2337, 519, 4387, 13209, 17350, 267, 3968, 267, 543, 1082, 824, 2175, 563, 290, 6195, 2356, 2882, 912, 310, 6195, 630, 19669, 1973, 1591, 610, 32151, 22889, 264, 1293, 269, 6519, 1973, 2281, 2149, 1996, 3968, 269, 1403, 606, 3968, 10953, 267, 3043, 1973, 2281, 4323, 543, 6861, 519, 4551, 267, 3644, 267, 610, 824, 11248, 4929, 519, 3968, 269, 6519, 1973, 2281, 616, 8273, 519, 2699, 1973, 2281, 855, 7864, 538, 1297, 269, 1879, 513, 1268, 814, 513, 9190, 3968, 267, 519, 1297, 540, 3043, 1973, 2281, 2333, 3533, 269, 634, 1297, 540, 3043, 1973, 2281, 568, 3006, 1031, 547, 1265, 606, 3968, 610, 547, 1294, 875, 519, 1560, 568, 7231, 609, 2860, 2126, 563, 310, 6195, 27018, 630, 19669, 1973, 1591, 2010, 1040, 634, 2101, 2010, 540, 3043, 1973, 2281, 616, 6120, 5268, 2812, 267, 9726, 14231, 267, 1395, 14231, 267, 552, 28009, 2684, 2812, 267, 543, 1666, 2684, 2812, 269, 8056, 1155, 6120, 5268, 2812, 267, 1289, 6512, 6120, 5268, 2812, 267, 1858, 849, 851, 540, 713, 1449, 269, 3962, 1826, 540, 891, 2281, 1404, 513, 1114, 1909, 538, 7863, 519, 1560, 269, 634, 2338, 540, 1142, 835, 540, 891, 1271, 2010, 540, 3043, 1973, 2281, 1683, 1271, 1344, 827, 519, 4761, 1062, 269, 18320, 949, 610, 1932, 1906, 540, 519, 1114, 2010, 540, 3043, 1973, 2281, 666, 948, 1265, 543, 3968, 267, 606, 13027, 610, 6757, 5114, 547, 6527, 267, 6464, 610, 1082, 2175, 971, 607, 26679, 563, 305, 6195, 630, 16446, 10552, 8426, 264, 1293, 269, 4414, 1973, 2281, 4163, 5135, 689, 519, 9641, 547, 519, 1964, 540, 519, 1560, 269, 1358, 849, 4163, 3327, 8166, 1394, 547, 519, 9641, 865, 621, 666, 581, 17938, 4705, 269, 1403, 519, 681, 6195, 1293, 568, 1970, 630, 10193, 1572, 17350, 1070, 519, 1560, 949, 711, 581, 3478, 519, 5135, 621, 2115, 1403, 519, 1293, 568, 547, 1164, 630, 513, 2783, 1572, 4874, 1097, 29442, 807, 1070, 972, 568, 513, 4960, 519, 2699, 1973, 2281, 786, 804, 2794, 1927, 4929, 3625, 1137, 538, 6263, 1973, 8043, 630, 339, 4176, 8043, 1572, 1698, 650, 2456, 1040, 901, 849, 786, 1118, 621, 2182, 585, 707, 2699, 1973, 2281, 547, 4163, 5135, 563, 295, 6311, 630, 295, 14670, 665, 761, 610, 14095, 1591, 4320, 6261, 20302, 1040, 901, 1449, 3800, 519, 2179, 540, 2230, 630, 14179, 2541, 264, 2699, 1973, 2281, 1491, 909, 538, 519, 1973, 269, 634, 1871, 568, 2016, 538, 6871, 540, 1973, 2281, 538, 513, 4320, 540, 1973, 269, 7151, 281, 476, 4343, 1797, 602, 476, 4343, 260, 540, 519, 1973, 779, 4320, 568, 1500, 540, 2699, 1973, 2281, 269, 12920, 520, 665, 761, 543, 24562, 2418, 616, 519, 1079, 2101, 4255, 602, 1397, 952, 17350, 610, 4874, 1097, 29442, 807, 568, 1459, 563, 295, 16412, 630, 295, 655, 18331, 1040, 634, 24562, 568, 3743, 585, 8876, 5135, 543, 3947, 519, 1973, 2281, 922, 2699, 2681, 269, 634, 24562, 1449, 3800, 519, 2179, 540, 24562, 538, 1973, 543, 568, 513, 1434, 2268, 540, 519, 1973, 779, 2702, 547, 4163, 5135, 2429, 519, 1560, 563, 16446, 10552, 8426, 1473, 1182, 269, 1703, 616, 1614, 2699, 1973, 1591, 17523, 281, 1611, 24402, 4788, 4320, 630, 10157, 309, 1070, 1611, 24402, 4788, 24562, 630, 300, 6224, 1070, 543, 1611, 24402, 4788, 24562, 5834, 630, 300, 6224, 290, 1040, 1703, 7403, 2097, 689, 824, 7403, 538, 513, 595, 6195, 269, 634, 14330, 309, 2982, 2450, 540, 519, 2699, 1973, 2281, 269, 634, 631, 6224, 1871, 568, 519, 2179, 540, 24562, 538, 606, 3328, 2699, 1973, 1591, 269, 634, 631, 6224, 290, 3800, 519, 5834, 540, 24562, 538, 606, 3328, 2699, 1973, 1591, 269, 1452, 2338, 948, 538, 519, 5868, 540, 1114, 2010, 540, 17350, 563, 5522, 622, 2280, 630, 10193, 1572, 24405, 14231, 1040, 1452, 2281, 616, 519, 10545, 1826, 540, 1973, 1591, 269, 1358, 616, 1271, 538, 1973, 32378, 269, 1879, 11702, 4386, 267, 519, 6676, 7410, 2220, 749, 267, 804, 2794, 1927, 267, 543, 1106, 320, 20202, 11690, 602, 2337, 3247, 11702, 269, 1403, 972, 616, 1932, 1906, 6676, 7410, 267, 29252, 11702, 949, 581, 513, 1966, 269, 1403, 972, 616, 1932, 1082, 6676, 7410, 267, 972, 568, 513, 7872, 540, 513, 1973, 8052, 8108, 538, 513, 1973, 6077, 269, 4746, 267, 6676, 7410, 949, 581, 3238, 538, 2182, 2287, 540, 519, 16209, 563, 6573, 309, 630, 11743, 6676, 2280, 4320, 1040, 6399, 6676, 2280, 4320, 3800, 519, 3328, 2179, 630, 14179, 2541, 264, 540, 6676, 7410, 269, 6399, 6676, 2280, 4320, 568, 1031, 2059, 609, 6676, 2280, 1293, 547, 13209, 930, 2068, 269, 1403, 519, 6676, 2280, 1293, 568, 3339, 267, 519, 1611, 6676, 2280, 4320, 666, 1869, 581, 1932, 1164, 610, 1932, 1970, 563, 2005, 568, 1271, 547, 1174, 1946, 707, 10629, 814, 10288, 513, 595, 6195, 607, 1134, 607, 1018, 519, 2164, 2995, 596, 269, 1703, 616, 1082, 4128, 1946, 513, 595, 6195, 568, 5363, 269, 898, 666, 4217, 538, 519, 5868, 540, 1082, 3676, 971, 607, 281, 5563, 267, 6553, 267, 2860, 267, 26679, 267, 10081, 4761, 4713, 267, 5642, 20768, 5821, 267, 17350, 267, 18024, 267, 543, 5714, 2530, 269, 634, 595, 6195, 666, 1397, 519, 2360, 540, 1978, 11216, 267, 543, 610, 519, 2360, 540, 513, 1297, 540, 6646, 538, 1279, 3856, 610, 1256, 2110, 2165, 946, 563, 763, 9814, 540, 519, 595, 6195, 666, 1291, 547, 32226, 952, 519, 2164, 979, 16053, 267, 796, 2389, 8972, 267, 610, 519, 2164, 616, 689, 513, 25314, 1046, 539, 1973, 19494, 269, 769, 519, 3728, 10605, 540, 1072, 1416, 267, 10913, 4755, 1169, 1554, 543, 596, 6148, 602, 32657, 777, 269, 898, 568, 1271, 547, 1174, 519, 13159, 10552, 4032, 267, 1946, 621, 568, 2944, 267, 519, 2164, 267, 543, 5574, 1759, 689, 519, 2164, 865, 596, 616, 711, 519, 1985, 2564, 9814, 269, 0, 763, 2817, 31790, 540, 10430, 267, 593, 2836, 2023, 10830, 267, 568, 10430, 781, 3084, 18189, 547, 519, 13677, 7980, 543, 25501, 945, 5747, 8165, 538, 519, 16486, 4577, 12668, 269, 898, 729, 5497, 267, 2687, 547, 519, 30115, 267, 547, 581, 1412, 288, 17341, 540, 519, 12815, 543, 769, 1417, 633, 547, 519, 8892, 15552, 1143, 540, 519, 9093, 540, 10430, 23823, 763, 15224, 2531, 7149, 519, 1283, 540, 2836, 2023, 10830, 267, 1175, 547, 519, 7532, 540, 11010, 806, 9335, 269, 898, 729, 2966, 1282, 476, 9264, 274, 268, 277, 676, 8176, 7917, 23081, 651, 22641, 543, 5261, 8361, 7591, 325, 1515, 543, 568, 1110, 8215, 2390, 519, 3487, 1156, 517, 538, 18603, 269, 14716, 3323, 538, 476, 9264, 277, 543, 267, 1813, 547, 519, 3668, 540, 7482, 267, 729, 2451, 4652, 31944, 538, 476, 9264, 280, 269, 4427, 2425, 550, 8942, 547, 1412, 14814, 262, 519, 2817, 31790, 723, 2760, 28703, 4829, 585, 4128, 540, 2901, 1942, 610, 3668, 540, 2199, 15131, 269, 27066, 912, 289, 16742, 1472, 5084, 476, 3445, 547, 7038, 519, 1850, 542, 2456, 6728, 539, 693, 519, 6830, 540, 6970, 518, 548, 517, 630, 296, 2675, 320, 1070, 519, 11141, 16822, 30965, 11128, 729, 519, 4936, 6697, 540, 2221, 779, 2789, 343, 21576, 269, 8381, 523, 1649, 2583, 3177, 27939, 585, 909, 547, 476, 277, 267, 1822, 4715, 2209, 267, 945, 1131, 5531, 547, 4585, 1973, 628, 1009, 344, 10525, 10023, 1350, 14508, 31247, 8396, 543, 16678, 3552, 2831, 563, 16524, 1310, 519, 14564, 2451, 267, 519, 16822, 30965, 11128, 3576, 593, 513, 1007, 1272, 538, 14880, 1014, 10828, 269, 2983, 32015, 540, 3933, 17625, 267, 519, 10169, 19511, 476, 1321, 628, 10601, 16159, 267, 5206, 538, 1010, 3778, 540, 519, 18301, 540, 6628, 602, 14880, 729, 7715, 2740, 538, 6970, 518, 548, 517, 543, 602, 519, 8297, 1441, 16822, 30965, 11128, 729, 2965, 519, 3788, 540, 3751, 14880, 779, 18471, 7305, 563, 9213, 621, 568, 519, 1034, 2347, 4936, 16822, 30965, 11128, 538, 6628, 269, 0, 6944, 9009, 547, 2442, 5784, 602, 10120, 4872, 941, 533, 4883, 8163, 540, 2068, 543, 13897, 267, 2199, 4683, 17743, 619, 543, 8128, 538, 519, 2185, 18818, 543, 6957, 18818, 5553, 1705, 11441, 547, 30817, 1072, 6937, 543, 547, 1832, 562, 7572, 1734, 693, 15922, 267, 607, 741, 2413, 13413, 798, 269, 808, 13860, 3213, 30689, 27180, 3735, 10120, 2853, 540, 23833, 1072, 4507, 543, 4683, 19455, 538, 519, 1970, 2477, 563, 297, 269, 3213, 30689, 281, 769, 623, 2720, 3726, 540, 513, 13245, 4975, 269, 5842, 2787, 543, 519, 5871, 6153, 538, 519, 17623, 19744, 8899, 18831, 563, 30267, 269, 717, 269, 717, 3881, 1676, 454, 1607, 2680, 568, 1930, 547, 519, 1857, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3481, 689, 513, 1449, 8546, 269, 3509, 723, 6068, 519, 5087, 7532, 540, 4789, 855, 18864, 814, 2479, 6068, 968, 22139, 5101, 4789, 6100, 3143, 10564, 814, 2479, 4050, 2740, 971, 28817, 18405, 607, 968, 2414, 7916, 267, 4961, 256, 4024, 9493, 1796, 1394, 950, 14763, 6650, 559, 938, 13636, 5149, 18313, 2005, 568, 606, 10694, 2856, 547, 3142, 1394, 519, 2757, 17521, 540, 4789, 269, 898, 568, 849, 606, 10694, 2856, 547, 2007, 909, 519, 1560, 540, 519, 812, 945, 27618, 873, 267, 11977, 1261, 987, 267, 543, 6529, 1010, 2212, 593, 513, 533, 833, 267, 855, 602, 4465, 1406, 4755, 2901, 269, 634, 17521, 616, 1175, 1932, 1507, 563, 3383, 952, 649, 616, 547, 723, 4620, 1399, 25267, 267, 1577, 873, 693, 2547, 581, 25267, 269, 9093, 723, 6068, 519, 8003, 540, 30330, 807, 269, 9093, 723, 5747, 585, 519, 8003, 540, 5101, 4911, 20377, 1107, 16113, 693, 519, 3946, 540, 2367, 540, 30330, 807, 267, 855, 972, 596, 979, 269, 9093, 540, 782, 519, 3504, 6082, 540, 519, 590, 19414, 723, 4553, 519, 6574, 540, 519, 18301, 540, 24380, 16303, 547, 32219, 11802, 1996, 519, 31557, 269, 19147, 543, 20630, 602, 267, 16402, 13062, 1846, 256, 4746, 621, 1131, 4196, 519, 31557, 1318, 585, 1641, 532, 803, 547, 782, 1346, 8886, 908, 3182, 3645, 5528, 563, 28989, 267, 10430, 267, 594, 6557, 12922, 602, 519, 4207, 8003, 540, 5899, 987, 322, 569, 1372, 786, 711, 581, 17468, 547, 519, 2407, 6708, 540, 922, 3504, 3180, 902, 1141, 789, 12701, 883, 2413, 4789, 269, 1306, 538, 2022, 12258, 11102, 4000, 267, 585, 519, 21084, 540, 1973, 338, 1117, 519, 5007, 10665, 3964, 676, 519, 22030, 540, 519, 8003, 540, 1325, 9346, 1590, 2611, 538, 1747, 269, 6787, 10430, 1058, 11177, 922, 1378, 3504, 1016, 268, 6362, 20819, 1369, 922, 1459, 10665, 568, 6923, 513, 1821, 9407, 2339, 563, 763, 3703, 8136, 1522, 581, 3238, 538, 513, 26525, 6560, 538, 7187, 5333, 855, 602, 3085, 1406, 1611, 602, 1272, 1058, 2097, 547, 513, 1796, 560, 650, 693, 1753, 912, 763, 8648, 267, 476, 1691, 5181, 476, 4489, 275, 533, 273, 454, 296, 795, 652, 267, 519, 25624, 5948, 814, 4280, 585, 5583, 269, 901, 568, 1018, 519, 8136, 7027, 1185, 547, 2161, 912, 763, 2243, 2436, 519, 4730, 540, 13292, 1058, 581, 7357, 11074, 568, 811, 513, 2339, 585, 519, 24787, 540, 519, 5948, 267, 855, 519, 7027, 3833, 29311, 519, 7965, 3238, 538, 2921, 971, 606, 3665, 1900, 267, 543, 789, 1131, 1244, 13440, 622, 4376, 1373, 2944, 799, 1281, 711, 2408, 547, 581, 1572, 585, 676, 519, 1459, 3510, 563, 3080, 540, 519, 2042, 1107, 513, 1966, 602, 786, 20807, 519, 3703, 8136, 2394, 476, 4489, 278, 1107, 568, 602, 621, 568, 513, 1507, 7952, 609, 513, 1507, 3761, 2872, 269, 1703, 3274, 568, 1100, 1390, 6006, 335, 850, 540, 26977, 267, 9604, 543, 993, 32099, 543, 1100, 2653, 1259, 540, 6721, 811, 269, 17610, 267, 519, 8136, 949, 723, 973, 337, 583, 1221, 476, 1911, 267, 1822, 2367, 630, 528, 568, 621, 476, 4335, 267, 1822, 24047, 676, 713, 3942, 540, 519, 2112, 855, 972, 779, 10475, 2370, 789, 666, 798, 609, 873, 269, 1924, 11176, 1522, 607, 1134, 3136, 267, 607, 8197, 621, 1705, 2394, 519, 1439, 540, 519, 4005, 538, 476, 4489, 276, 563, 763, 8648, 689, 476, 1321, 5181, 476, 4489, 275, 269, 589, 18755, 541, 10596, 593, 513, 4484, 689, 1010, 5067, 267, 606, 11464, 538, 519, 3703, 30609, 819, 776, 10414, 912, 5194, 4057, 8004, 814, 1175, 2097, 538, 267, 2348, 1185, 1312, 1200, 28244, 2759, 1055, 269, 24664, 1176, 267, 594, 9575, 519, 772, 327, 17427, 1496, 23389, 29816, 2006, 316, 538, 519, 957, 267, 543, 609, 29461, 693, 476, 4968, 18126, 7166, 1864, 269, 1656, 1631, 765, 568, 609, 721, 267, 855, 267, 4057, 8004, 267, 594, 993, 12922, 1352, 786, 5884, 269, 2701, 568, 1360, 7168, 267, 543, 1152, 827, 476, 866, 267, 543, 1152, 814, 1200, 1236, 7398, 593, 563, 763, 2376, 5170, 538, 513, 2147, 18916, 609, 713, 543, 824, 5022, 689, 519, 4395, 10213, 8941, 540, 22149, 267, 519, 946, 540, 21127, 607, 1480, 695, 3658, 543, 824, 3029, 540, 4436, 30217, 344, 563, 3719, 1018, 568, 835, 547, 1589, 286, 594, 15475, 519, 1101, 2243, 568, 267, 568, 621, 3020, 286, 1656, 1287, 267, 729, 621, 18532, 630, 517, 519, 851, 540, 519, 772, 327, 17427, 21663, 3657, 972, 1022, 19086, 2188, 286, 1656, 616, 519, 3703, 1022, 1732, 888, 4002, 602, 2063, 835, 594, 993, 20916, 547, 1589, 9811, 267, 3274, 1317, 789, 616, 10838, 2828, 563, 4517, 593, 519, 1101, 835, 267, 594, 1294, 2370, 2601, 1946, 606, 11464, 610, 513, 18755, 541, 1131, 1118, 621, 909, 269, 1809, 2576, 3116, 1522, 269, 1656, 634, 8648, 799, 19758, 519, 2112, 4674, 1522, 711, 581, 602, 16994, 593, 10992, 909, 269, 2107, 6148, 519, 11464, 729, 7092, 26390, 5209, 998, 3668, 540, 3207, 563, 3719, 593, 519, 824, 1688, 267, 519, 918, 9820, 518, 779, 2367, 1705, 986, 2763, 7200, 341, 664, 547, 519, 2666, 267, 543, 32003, 21127, 693, 667, 5364, 543, 946, 519, 3283, 789, 22821, 1406, 2527, 659, 1042, 607, 1480, 695, 3658, 563, 27407, 267, 594, 993, 20916, 547, 3494, 713, 269, 1656, 594, 993, 28280, 269, 1656, 952, 594, 993, 28280, 513, 4627, 1296, 2663, 621, 568, 711, 2352, 547, 4952, 1018, 1004, 1590, 723, 1044, 3206, 693, 519, 942, 563, 763, 968, 20809, 19822, 892, 540, 476, 4489, 275, 949, 723, 2097, 607, 513, 8710, 547, 519, 3703, 855, 602, 1281, 1611, 789, 941, 711, 2111, 547, 9260, 741, 3681, 269, 594, 729, 14281, 676, 519, 17284, 540, 513, 7008, 540, 4930, 594, 3357, 2066, 538, 634, 8648, 269, 2290, 540, 873, 7902, 593, 519, 21107, 3817, 267, 1705, 711, 723, 513, 676, 1467, 855, 4769, 1406, 2408, 547, 581, 606, 21107, 2901, 269, 898, 729, 1869, 1434, 1498, 269, 901, 568, 519, 1883, 8574, 912, 293, 8896, 1281, 711, 21279, 938, 3354, 269, 589, 4436, 11802, 936, 5333, 1131, 21279, 621, 3352, 8145, 2664, 2406, 269, 4634, 1058, 519, 4436, 13108, 2611, 29680, 267, 519, 13567, 540, 19934, 543, 8832, 5333, 676, 4436, 10136, 1131, 10880, 513, 11493, 9514, 693, 3703, 3354, 269, 1284, 1058, 1287, 581, 8078, 539, 267, 4805, 543, 1510, 16167, 267, 547, 7703, 519, 11411, 540, 5329, 909, 513, 18307, 564, 9120, 547, 602, 540, 5125, 543, 540, 606, 8136, 8167, 2299, 2178, 269, 901, 11411, 1131, 581, 25010, 748, 563, 6546, 568, 519, 1655, 7778, 689, 6628, 779, 3375, 547, 979, 547, 2112, 594, 2479, 4862, 269, 13458, 568, 829, 559, 748, 563, 763, 824, 729, 513, 4484, 689, 22374, 4911, 749, 267, 2278, 540, 634, 4279, 7629, 4288, 912, 2171, 616, 5143, 602, 952, 649, 1450, 5125, 547, 1831, 4619, 16124, 1352, 1131, 581, 865, 3532, 607, 547, 21279, 938, 6228, 676, 519, 13567, 540, 19934, 267, 26652, 267, 543, 7654, 519, 3345, 540, 5333, 269, 1809, 267, 607, 707, 2376, 540, 547, 6377, 779, 4266, 865, 1134, 2798, 856, 267, 621, 729, 519, 7411, 799, 5125, 1336, 538, 1325, 338, 864, 6441, 528, 9627, 799, 15286, 1200, 689, 9117, 1996, 721, 538, 519, 3162, 3979, 2782, 269, 1403, 835, 11662, 267, 865, 7361, 4436, 538, 922, 5169, 543, 1686, 267, 1223, 1711, 713, 19849, 14536, 267, 1018, 8373, 786, 711, 5125, 18061, 909, 585, 9887, 568, 1352, 1058, 3801, 519, 10338, 540, 513, 19934, 267, 513, 26652, 267, 543, 513, 11870, 22929, 888, 305, 1430, 5673, 593, 875, 3540, 2213, 1352, 4566, 593, 1373, 269, 1261, 4422, 593, 912, 763, 1843, 543, 1198, 540, 938, 10024, 883, 713, 2112, 1131, 581, 547, 2327, 519, 11802, 540, 6576, 543, 1200, 23577, 4577, 16167, 269, 4024, 513, 8789, 23577, 4577, 10480, 3130, 540, 267, 2161, 267, 476, 1220, 267, 1822, 267, 1822, 1313, 4531, 5597, 18170, 1004, 267, 609, 513, 1360, 25229, 21747, 3540, 5314, 267, 855, 8185, 9280, 585, 4108, 14699, 267, 581, 513, 1447, 5906, 3815, 538, 2342, 982, 513, 8789, 5125, 540, 476, 4792, 267, 1822, 267, 1822, 3810, 3540, 2213, 543, 5631, 2016, 547, 519, 6575, 540, 4123, 543, 16450, 888, 288, 12605, 267, 540, 1576, 267, 602, 21314, 547, 581, 1312, 1360, 4636, 543, 267, 6038, 267, 1360, 1318, 563, 2005, 786, 581, 6654, 602, 713, 2022, 729, 19430, 676, 31473, 5450, 345, 3455, 779, 2022, 968, 288, 19759, 7788, 15208, 9731, 8802, 8973, 519, 3768, 15804, 1249, 602, 519, 2121, 1267, 540, 519, 3689, 2622, 2782, 729, 3592, 28025, 3983, 267, 2015, 713, 21658, 281, 707, 1753, 568, 22983, 676, 513, 14228, 267, 945, 723, 2016, 15792, 2963, 540, 741, 1876, 1652, 2470, 607, 789, 19856, 3042, 998, 707, 29117, 1354, 8757, 596, 269, 9320, 596, 723, 711, 2141, 1044, 513, 1025, 600, 6804, 12504, 3054, 267, 855, 267, 676, 2696, 267, 596, 4465, 1406, 1491, 713, 14084, 1524, 269, 1924, 596, 5706, 267, 10912, 538, 707, 1920, 543, 30256, 547, 948, 269, 1358, 2628, 513, 1164, 3902, 585, 741, 17604, 269, 2311, 519, 1439, 540, 519, 4339, 596, 1413, 5180, 543, 1294, 14077, 543, 2828, 4666, 267, 524, 23774, 1194, 543, 2377, 8636, 1229, 269, 634, 29117, 596, 8179, 547, 9718, 814, 1044, 20739, 22486, 269, 1411, 849, 917, 602, 1082, 540, 1346, 4666, 14228, 2818, 941, 811, 1642, 24231, 982, 9409, 269, 1548, 729, 621, 782, 585, 286, 23875, 814, 1044, 6591, 267, 1454, 814, 1044, 4503, 269, 1937, 572, 2943, 267, 713, 26718, 786, 2253, 513, 4783, 540, 5208, 602, 786, 1491, 1082, 811, 2729, 538, 2104, 269, 17610, 569, 621, 1131, 723, 1044, 1732, 782, 5180, 547, 1175, 1577, 873, 538, 543, 1577, 873, 1491, 1018, 789, 1616, 888, 7775, 1131, 621, 888, 3080, 4627, 1296, 3516, 2221, 267, 593, 5147, 476, 2764, 628, 267, 476, 4489, 275, 267, 513, 3923, 1310, 519, 26923, 540, 5246, 706, 651, 30686, 30544, 267, 519, 3243, 549, 6953, 2426, 4115, 7276, 10294, 2112, 593, 519, 8003, 540, 28993, 543, 3459, 606, 12289, 269, 901, 729, 519, 4013, 4098, 540, 2622, 2782, 594, 563, 20751, 4374, 267, 1169, 2101, 543, 1034, 5634, 2477, 538, 2342, 1185, 10294, 2112, 2390, 930, 15410, 540, 519, 1866, 563, 29909, 782, 10617, 616, 513, 15265, 267, 29749, 3653, 540, 1480, 1272, 267, 855, 968, 763, 4279, 2782, 892, 729, 2523, 1448, 1652, 563, 2791, 666, 14407, 569, 936, 13678, 680, 1518, 543, 2491, 1018, 1034, 10617, 941, 827, 538, 513, 4845, 610, 1079, 269, 2622, 2782, 4083, 1223, 581, 1767, 547, 723, 1044, 827, 513, 1895, 540, 6608, 12394, 547, 2744, 998, 21037, 543, 1866, 3843, 547, 3247, 873, 269, 10476, 1223, 581, 6045, 607, 519, 2475, 2229, 779, 3801, 547, 1394, 606, 28974, 2229, 609, 2370, 4835, 1489, 547, 2119, 547, 3180, 1394, 513, 21340, 1491, 1478, 269, 1452, 5749, 1406, 1390, 3137, 855, 789, 2461, 693, 2547, 968, 338, 677, 540, 892, 3137, 563, 13328, 2782, 594, 814, 1100, 1483, 7778, 3564, 968, 320, 19619, 540, 954, 3766, 21194, 24816, 3893, 15427, 538, 519, 21987, 540, 606, 26923, 1848, 1403, 596, 1353, 519, 2621, 538, 513, 1686, 1362, 267, 621, 3217, 2395, 547, 2491, 519, 3123, 540, 519, 2112, 267, 799, 568, 547, 2161, 267, 547, 1205, 547, 519, 1448, 1141, 596, 1174, 602, 972, 7012, 1406, 2731, 1454, 540, 513, 2014, 267, 543, 711, 2731, 1454, 538, 519, 1259, 540, 4890, 6859, 593, 2901, 2427, 269, 630, 306, 675, 972, 616, 968, 1410, 17839, 725, 892, 543, 594, 6557, 1978, 2576, 609, 513, 7895, 4842, 1792, 752, 786, 3142, 873, 909, 267, 855, 594, 1745, 602, 789, 2461, 22290, 519, 1448, 8094, 2005, 729, 711, 2112, 585, 21037, 267, 711, 2112, 585, 2797, 6859, 267, 1175, 2112, 585, 2112, 779, 19160, 563, 1103, 19220, 540, 713, 3668, 540, 1483, 3483, 267, 11999, 13348, 5328, 535, 969, 528, 729, 4547, 547, 7703, 676, 1312, 5011, 269, 25175, 15852, 519, 2112, 729, 13556, 607, 513, 2282, 10546, 540, 8103, 269, 8479, 2367, 676, 519, 6634, 941, 931, 5296, 539, 610, 630, 16838, 811, 911, 326, 1227, 264, 18617, 547, 32380, 21821, 968, 1721, 741, 2197, 9731, 1103, 519, 1439, 267, 476, 1626, 2929, 1004, 5747, 543, 513, 2417, 476, 2641, 2929, 11124, 5945, 267, 930, 20494, 341, 3585, 2614, 547, 11904, 873, 524, 23774, 1194, 585, 1272, 267, 543, 782, 267, 538, 519, 1439, 267, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 630, 10193, 1634, 607, 13002, 2259, 1957, 264, 568, 2139, 609, 1585, 1297, 540, 3515, 829, 7874, 4484, 10959, 609, 12987, 1957, 269, 23512, 790, 707, 3214, 547, 2328, 593, 3817, 609, 1187, 10665, 609, 713, 7792, 10959, 7132, 2542, 1299, 1603, 25258, 2085, 476, 276, 2085, 476, 278, 2085, 476, 277, 1153, 1272, 1603, 563, 299, 1441, 1957, 585, 11505, 3018, 1603, 4062, 4484, 1603, 10959, 267, 7792, 1130, 20634, 267, 1603, 1957, 267, 16886, 4760, 267, 1394, 547, 1153, 693, 322, 3556, 10665, 269, 15026, 1603, 1957, 547, 1451, 543, 2259, 13002, 585, 23021, 267, 2186, 1120, 31678, 543, 2038, 10026, 269, 5192, 621, 782, 1524, 593, 1957, 609, 713, 13561, 10959, 1753, 4116, 2645, 1299, 17074, 30866, 3337, 1504, 630, 20040, 264, 10959, 269, 6787, 596, 616, 1603, 1957, 538, 3332, 610, 2979, 649, 666, 948, 596, 609, 4376, 22637, 543, 649, 4196, 1164, 1153, 267, 2852, 543, 10927, 1053, 269, 0, 17138, 910, 8706, 6541, 543, 27828, 281, 4008, 2152, 676, 910, 616, 5894, 8297, 714, 6281, 5396, 910, 1893, 6575, 3446, 1377, 910, 476, 1556, 268, 1321, 8706, 6541, 1299, 27828, 910, 4008, 269, 9732, 4008, 6041, 9732, 2367, 543, 27828, 2367, 543, 27828, 713, 3296, 9607, 519, 6041, 540, 2367, 543, 27828, 538, 519, 2923, 621, 6227, 1547, 670, 1993, 23264, 324, 281, 27828, 1315, 8706, 6541, 713, 10155, 6212, 593, 875, 6708, 547, 799, 513, 2486, 2566, 9740, 610, 20741, 27828, 568, 2938, 547, 581, 519, 16023, 799, 11363, 20440, 267, 11601, 540, 5763, 267, 543, 21630, 4008, 5107, 563, 17746, 656, 514, 963, 11225, 4008, 268, 14337, 10073, 607, 519, 4890, 23314, 630, 773, 267, 875, 24940, 1922, 655, 24100, 513, 1268, 15109, 1200, 268, 610, 5128, 264, 543, 4008, 268, 14337, 13283, 607, 519, 5551, 4110, 540, 27828, 1922, 655, 514, 6541, 630, 773, 267, 875, 24940, 1922, 655, 24100, 513, 1268, 23679, 1131, 899, 547, 581, 1040, 634, 1523, 540, 30566, 545, 27828, 814, 1044, 1031, 538, 4008, 2090, 2094, 519, 2038, 268, 2735, 271, 338, 547, 2491, 2367, 779, 1379, 936, 2021, 2566, 532, 519, 11307, 26305, 1379, 540, 9844, 630, 337, 1430, 982, 19020, 2168, 610, 2797, 1379, 547, 2327, 19169, 1070, 621, 814, 1044, 1031, 547, 2491, 2367, 779, 1072, 19326, 543, 519, 946, 540, 5208, 269, 2290, 779, 4008, 3961, 666, 581, 5812, 609, 610, 1114, 689, 835, 779, 8655, 3023, 693, 4332, 1247, 27828, 543, 8706, 6541, 616, 2757, 2474, 547, 2697, 575, 25311, 4162, 267, 2418, 267, 10096, 267, 543, 2686, 6788, 267, 972, 616, 1082, 811, 2474, 602, 7001, 513, 6626, 8552, 982, 713, 5187, 2065, 9352, 1547, 16549, 1529, 6541, 267, 4008, 4367, 538, 2487, 1296, 267, 29534, 2923, 723, 13991, 513, 1390, 4308, 540, 3007, 547, 519, 4720, 540, 29534, 2367, 713, 27581, 1007, 1826, 540, 4586, 763, 2474, 968, 5733, 1529, 710, 892, 543, 968, 325, 655, 24100, 892, 616, 2356, 1031, 547, 4766, 4008, 3040, 4008, 3961, 568, 606, 1367, 779, 7184, 4371, 2631, 540, 1373, 5256, 267, 4775, 610, 1776, 4008, 713, 568, 1547, 16549, 1529, 6541, 281, 4008, 543, 5208, 1557, 476, 22659, 279, 1913, 1923, 476, 280, 3817, 616, 711, 1373, 2604, 323, 547, 957, 610, 1685, 513, 1978, 1259, 538, 1931, 547, 15260, 675, 2933, 540, 741, 27828, 267, 5208, 814, 1831, 519, 1292, 1505, 538, 1028, 1005, 2933, 543, 1346, 1472, 873, 602, 789, 616, 3532, 269, 10017, 540, 2367, 1299, 27828, 2485, 362, 568, 13991, 547, 519, 23425, 540, 1382, 267, 3069, 267, 543, 4791, 14172, 602, 8441, 519, 6530, 540, 2367, 543, 27828, 713, 9015, 568, 3989, 17618, 607, 519, 1353, 540, 875, 8695, 262, 543, 2367, 781, 6530, 568, 6766, 543, 8032, 676, 1312, 4008, 543, 3023, 267, 543, 1547, 476, 272, 2596, 2035, 2433, 3023, 543, 4008, 267, 27828, 543, 8706, 6541, 267, 13348, 8944, 1770, 2497, 2433, 476, 1015, 6859, 476, 1556, 4367, 476, 1321, 3023, 543, 4008, 269, 769, 713, 2022, 267, 3605, 875, 27828, 543, 8706, 6541, 616, 3989, 543, 1451, 811, 827, 24940, 543, 21522, 4008, 1806, 563, 1432, 568, 6757, 27828, 2523, 609, 9687, 2090, 540, 4008, 607, 513, 4020, 267, 621, 568, 3730, 547, 1413, 693, 875, 968, 1729, 13877, 27828, 814, 13840, 1044, 3989, 1547, 12339, 514, 6541, 270, 5733, 1529, 6541, 8706, 6541, 543, 27828, 267, 610, 835, 781, 4008, 3961, 630, 10767, 651, 1696, 620, 476, 2735, 279, 838, 775, 476, 2735, 276, 1070, 3277, 547, 519, 4110, 547, 799, 7606, 1294, 2933, 607, 24940, 610, 21522, 2016, 1018, 621, 1797, 547, 581, 513, 812, 610, 4807, 538, 2486, 269, 16549, 1529, 6541, 267, 4008, 5107, 267, 543, 26725, 2982, 689, 519, 476, 4198, 271, 338, 519, 476, 4198, 271, 338, 6046, 1920, 7153, 538, 519, 2022, 32685, 4512, 5736, 267, 607, 22988, 5185, 519, 31873, 3463, 540, 9552, 689, 741, 4411, 2112, 14763, 269, 8605, 633, 4008, 8947, 922, 1909, 538, 2870, 1379, 3347, 267, 543, 3812, 4008, 8268, 519, 946, 543, 1689, 540, 4008, 2429, 1686, 713, 814, 6766, 519, 2361, 540, 27828, 267, 607, 2938, 538, 533, 18824, 536, 712, 23135, 340, 781, 4214, 540, 27828, 281, 3812, 676, 2486, 543, 2528, 267, 543, 25735, 538, 3232, 1272, 4586, 29638, 568, 519, 2039, 540, 972, 568, 1167, 867, 766, 1063, 519, 562, 7614, 3023, 540, 835, 781, 5007, 19058, 807, 543, 519, 2634, 8193, 540, 835, 781, 4008, 607, 24940, 610, 21522, 1547, 769, 519, 3275, 2094, 1810, 12245, 25041, 814, 1831, 7022, 267, 811, 543, 811, 1004, 723, 1831, 6273, 547, 6443, 519, 4187, 2443, 2436, 602, 1797, 24749, 267, 5859, 532, 267, 1810, 908, 267, 1818, 7125, 1547, 901, 15853, 2488, 2200, 543, 606, 2606, 7650, 540, 3140, 2090, 540, 27828, 267, 6436, 540, 27828, 543, 4008, 8635, 267, 519, 2078, 1063, 27828, 543, 14920, 267, 519, 3332, 7231, 609, 3309, 2367, 779, 5322, 267, 543, 513, 5758, 540, 4681, 1369, 1585, 1514, 5238, 630, 25531, 267, 519, 1920, 267, 519, 4586, 763, 15257, 540, 4008, 12116, 875, 2486, 7506, 938, 24300, 543, 8226, 540, 3604, 1063, 27828, 630, 6343, 2486, 632, 2114, 3617, 7180, 585, 513, 968, 2006, 14615, 543, 8706, 6541, 630, 6343, 2486, 632, 2114, 3617, 7180, 585, 513, 968, 30513, 14615, 649, 4983, 875, 713, 267, 538, 2490, 267, 7506, 3961, 543, 1514, 2853, 269, 769, 2221, 781, 2528, 267, 972, 568, 1390, 4308, 540, 4160, 1472, 4008, 5107, 543, 741, 2078, 547, 7350, 6757, 27828, 949, 581, 513, 1966, 267, 855, 711, 538, 519, 1259, 596, 1589, 269, 9861, 513, 5256, 538, 2221, 779, 2486, 568, 711, 827, 2713, 543, 18399, 267, 621, 814, 1831, 811, 540, 513, 4305, 910, 27828, 281, 4008, 543, 5208, 4367, 1514, 12503, 543, 2923, 723, 1500, 621, 2352, 585, 9038, 547, 2661, 513, 1272, 538, 799, 789, 616, 711, 1373, 2604, 323, 547, 957, 610, 1685, 513, 1978, 1259, 563, 293, 655, 21442, 5380, 593, 3023, 543, 4008, 1101, 3370, 1395, 949, 476, 1321, 267, 476, 1220, 279, 6086, 633, 14469, 12311, 12354, 476, 1839, 267, 476, 1001, 278, 4008, 22885, 540, 607, 27828, 543, 8706, 6541, 1547, 16549, 1529, 6541, 568, 513, 1305, 540, 19326, 267, 14245, 543, 5107, 799, 616, 15520, 2404, 609, 1373, 513, 812, 543, 5924, 28429, 5256, 3023, 4162, 1004, 540, 1022, 4008, 3961, 610, 4638, 10066, 666, 581, 24940, 267, 855, 1346, 945, 616, 8655, 5256, 693, 4332, 1419, 1995, 6848, 269, 13834, 5107, 616, 3989, 676, 5615, 267, 855, 4008, 11475, 616, 4978, 543, 8456, 827, 27828, 543, 8706, 6541, 519, 2035, 540, 4008, 1909, 543, 4008, 8305, 9189, 4043, 547, 581, 1644, 950, 1004, 12314, 513, 4806, 540, 2623, 609, 2901, 2021, 610, 2367, 267, 789, 949, 26777, 1367, 7648, 543, 17756, 543, 2097, 547, 3494, 602, 519, 1547, 0, 1432, 568, 6046, 1648, 5201, 666, 581, 6383, 538, 1114, 2081, 585, 1383, 267, 621, 666, 581, 1500, 1210, 3859, 8440, 267, 676, 8781, 5755, 267, 610, 676, 13830, 519, 3002, 689, 8444, 602, 4352, 269, 7689, 476, 276, 281, 875, 5982, 28746, 4367, 14318, 6029, 519, 1114, 2081, 602, 606, 13672, 630, 528, 12498, 264, 9325, 666, 3441, 31252, 2047, 14318, 6029, 875, 606, 13672, 649, 2268, 269, 901, 2376, 729, 1071, 22052, 23482, 676, 695, 320, 684, 737, 3757, 880, 1107, 519, 900, 325, 24413, 1107, 543, 29122, 15854, 1408, 540, 1528, 571, 8234, 1260, 900, 325, 267, 1528, 1886, 3326, 1081, 267, 543, 18660, 5201, 281, 891, 616, 513, 1906, 540, 519, 1082, 2474, 563, 288, 3905, 1560, 602, 32307, 5982, 9003, 1317, 540, 922, 1164, 2837, 568, 1767, 547, 1482, 8095, 538, 1114, 10739, 1023, 7061, 3069, 25221, 602, 971, 513, 11140, 666, 606, 4367, 547, 269, 634, 2500, 9570, 568, 1031, 547, 2268, 9357, 1944, 5982, 538, 2474, 540, 519, 1761, 585, 4929, 2800, 519, 20146, 3200, 630, 12364, 264, 568, 519, 1770, 540, 2500, 9570, 602, 3217, 883, 2272, 519, 1826, 540, 269, 1358, 666, 849, 1294, 602, 972, 616, 1114, 2081, 540, 16326, 519, 1114, 2010, 540, 5982, 4052, 6323, 9732, 8444, 543, 22140, 9732, 9357, 2358, 2234, 9911, 543, 741, 3601, 1547, 1677, 2569, 602, 1966, 267, 596, 991, 547, 1174, 519, 1614, 1114, 2081, 538, 799, 3002, 666, 2951, 281, 1572, 26634, 267, 28681, 267, 543, 5982, 3006, 596, 3513, 1294, 891, 5219, 547, 607, 563, 20238, 2747, 3270, 616, 540, 519, 25932, 2956, 538, 519, 4901, 540, 19215, 9238, 2361, 4525, 519, 4367, 547, 32110, 5170, 609, 513, 4901, 540, 2361, 4525, 269, 4985, 547, 21655, 21655, 568, 519, 1353, 540, 519, 1259, 1769, 630, 19491, 11424, 5982, 264, 543, 2339, 2170, 972, 616, 513, 1297, 540, 1114, 2010, 540, 4715, 14029, 8084, 2553, 543, 269, 24658, 538, 2679, 2326, 1867, 835, 540, 519, 15864, 2081, 547, 2268, 543, 4612, 519, 1239, 568, 676, 7893, 24277, 8874, 547, 2268, 5982, 2534, 3330, 8075, 7429, 269, 898, 568, 1455, 547, 1589, 540, 519, 5639, 607, 5473, 1079, 3592, 5094, 3157, 281, 835, 7472, 606, 3355, 3280, 543, 1776, 1110, 5809, 621, 585, 1383, 267, 693, 519, 561, 28449, 630, 27271, 1572, 2048, 341, 4069, 269, 19139, 540, 5982, 7020, 1949, 519, 3349, 2630, 568, 689, 4058, 5583, 585, 3210, 547, 513, 6046, 1033, 29396, 267, 476, 273, 526, 7160, 2073, 476, 277, 270, 1001, 271, 267, 3349, 476, 2420, 267, 2985, 476, 7830, 5697, 8292, 538, 519, 563, 20238, 2747, 2597, 532, 3815, 281, 5982, 2597, 532, 2188, 616, 10155, 1652, 2188, 2919, 585, 5982, 4027, 543, 547, 2708, 1072, 4220, 689, 5982, 13066, 602, 1491, 883, 2272, 269, 24658, 9424, 543, 4559, 829, 787, 30832, 3149, 267, 943, 323, 789, 1331, 519, 1082, 9424, 602, 666, 581, 1031, 547, 2769, 519, 2179, 540, 5982, 267, 519, 1114, 4559, 602, 616, 1031, 267, 543, 519, 269, 1323, 4367, 547, 28264, 7403, 2930, 4063, 281, 606, 4367, 547, 28264, 7403, 476, 24374, 547, 2268, 1114, 6878, 267, 1034, 6882, 14806, 18852, 1450, 519, 269, 4985, 547, 5982, 3106, 910, 2228, 2866, 519, 1614, 2596, 2081, 540, 9013, 4598, 547, 5739, 5982, 616, 281, 476, 272, 264, 12145, 519, 942, 6170, 2282, 513, 2707, 540, 5982, 267, 476, 273, 269, 4985, 267, 1514, 32756, 543, 2081, 540, 7893, 1514, 1362, 4367, 1114, 7239, 616, 30305, 538, 1114, 2081, 538, 15242, 267, 585, 1383, 267, 972, 568, 513, 22634, 1062, 538, 563, 20238, 2747, 7020, 543, 13121, 574, 4479, 543, 5982, 18785, 23363, 1898, 547, 723, 4977, 2081, 547, 2268, 938, 4598, 547, 5982, 267, 519, 2179, 540, 9570, 7503, 3815, 585, 269, 24658, 3797, 585, 519, 2126, 540, 2860, 949, 581, 2016, 538, 1079, 1114, 2081, 5007, 11237, 23735, 2747, 568, 519, 1034, 1455, 1505, 519, 5982, 568, 9447, 547, 513, 1808, 1858, 540, 519, 269, 1879, 3744, 2268, 5982, 267, 789, 946, 1114, 2474, 4470, 593, 2436, 789, 616, 7234, 5982, 4947, 689, 513, 14599, 2707, 267, 519, 5982, 9570, 12842, 676, 513, 1268, 267, 610, 563, 296, 517, 2358, 5982, 4367, 5982, 689, 14599, 9178, 3123, 519, 1570, 621, 10596, 998, 547, 10299, 998, 8031, 855, 1114, 8031, 1450, 8795, 5666, 998, 269, 4985, 513, 15796, 540, 2188, 11887, 519, 2890, 743, 328, 268, 6027, 538, 1614, 1114, 2081, 1142, 2268, 814, 1114, 8733, 6286, 476, 272, 2584, 6248, 3800, 8654, 269, 1323, 4367, 547, 5925, 13808, 676, 3638, 731, 4031, 517, 267, 8783, 21997, 6046, 4915, 8257, 19951, 649, 723, 849, 1336, 2081, 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 ]
[ 2386, 607, 606, 8227, 596, 2285, 873, 519, 1655, 1376, 2009, 676, 3246, 873, 609, 513, 2635, 2732, 543, 7899, 540, 3635, 547, 2327, 789, 2661, 513, 1279, 543, 2635, 1272, 269, 0, 12626, 3427, 2073, 20640, 7570, 11416, 454, 1607, 5578, 2685, 13556, 19596, 17855, 20186, 595, 668, 6202, 607, 513, 811, 3946, 727, 267, 24846, 2213, 3239, 982, 649, 616, 1031, 547, 7487, 2483, 1607, 19596, 17855, 540, 20182, 595, 668, 6202, 1131, 2408, 547, 581, 606, 31498, 14212, 540, 519, 2212, 1826, 676, 7917, 21701, 630, 323, 269, 13679, 279, 1070, 519, 1560, 811, 2693, 6508, 689, 519, 28076, 3254, 676, 519, 1199, 718, 626, 7338, 17363, 630, 14065, 279, 268, 4792, 1040, 21701, 779, 3282, 23609, 540, 519, 7083, 5019, 10725, 941, 14916, 23678, 1386, 543, 7856, 2429, 519, 476, 1704, 628, 543, 476, 1240, 628, 2540, 269, 634, 2220, 698, 540, 7199, 4544, 16536, 936, 1010, 13105, 568, 24188, 540, 519, 811, 2048, 330, 5944, 685, 10305, 2663, 7550, 676, 17363, 538, 1010, 1199, 1023, 269, 634, 3239, 666, 849, 581, 2404, 609, 513, 27948, 5373, 540, 595, 668, 6202, 676, 519, 1951, 7676, 1206, 2006, 543, 23678, 591, 22956, 29965, 344, 630, 14065, 279, 268, 4792, 1070, 18584, 476, 14690, 280, 267, 6029, 1864, 538, 513, 2147, 10460, 543, 6095, 321, 563, 1607, 5578, 2685, 13556, 19596, 17855, 20186, 595, 668, 6202, 607, 513, 811, 3946, 727, 267, 24846, 2213, 3239, 982, 1346, 23609, 20827, 1282, 1010, 10715, 269, 595, 668, 6202, 779, 1631, 4583, 6044, 547, 15656, 23101, 630, 8182, 278, 270, 279, 268, 7761, 264, 547, 5862, 1864, 2048, 342, 11301, 543, 782, 685, 3366, 547, 835, 540, 519, 1034, 2618, 10999, 11579, 7992, 23609, 2479, 13556, 538, 6628, 269, 901, 19596, 6922, 2478, 1346, 6926, 332, 8460, 267, 4758, 595, 668, 6202, 5394, 267, 4158, 4552, 538, 4334, 547, 519, 30034, 512, 19843, 1792, 8898, 609, 15454, 4767, 538, 519, 740, 642, 643, 636, 1694, 14005, 676, 23101, 543, 21701, 563, 7197, 2693, 13556, 538, 519, 1101, 3368, 540, 519, 22733, 2540, 267, 595, 668, 6202, 779, 10639, 607, 26481, 1119, 7949, 630, 1492, 2048, 3630, 557, 267, 3983, 812, 685, 607, 4330, 538, 476, 14917, 278, 676, 519, 9576, 626, 5856, 11977, 5754, 1372, 267, 476, 272, 560, 23778, 540, 29366, 526, 517, 264, 729, 4098, 547, 581, 15260, 612, 539, 538, 519, 1769, 540, 1007, 27367, 543, 3140, 12591, 269, 1261, 849, 3459, 547, 11457, 607, 1945, 540, 513, 5869, 547, 930, 1733, 580, 5515, 607, 606, 12835, 540, 2797, 15698, 563, 306, 1399, 4289, 1227, 267, 713, 19596, 568, 2673, 547, 519, 1688, 540, 20435, 26081, 5341, 13153, 15049, 614, 630, 15876, 275, 268, 4200, 1040, 966, 517, 15049, 614, 949, 723, 1185, 1569, 547, 23609, 540, 519, 7083, 5019, 10725, 1282, 1010, 942, 538, 5507, 269, 3245, 476, 10082, 278, 267, 646, 6170, 2947, 1296, 538, 519, 3028, 540, 7083, 667, 691, 787, 630, 331, 831, 966, 4593, 870, 595, 8145, 11448, 1070, 1282, 799, 942, 646, 1500, 12215, 1310, 23609, 676, 11184, 26056, 32083, 543, 17820, 689, 606, 2232, 538, 595, 990, 550, 12567, 269, 769, 513, 2034, 3643, 547, 5507, 538, 519, 3735, 476, 9965, 271, 338, 646, 849, 1500, 12215, 1310, 4505, 23609, 1107, 585, 1383, 267, 513, 17855, 540, 8361, 24163, 1310, 11835, 657, 8709, 7581, 557, 729, 18584, 476, 9965, 279, 269, 901, 1880, 5299, 267, 1310, 606, 3312, 3282, 538, 918, 14819, 2023, 20066, 267, 729, 20827, 676, 21965, 4083, 540, 6576, 269, 634, 3735, 667, 7469, 928, 674, 657, 8208, 339, 630, 8072, 300, 7236, 2137, 9218, 543, 6651, 685, 1070, 849, 7074, 602, 1352, 1185, 2938, 12215, 676, 15049, 614, 1310, 11709, 29325, 1188, 540, 8176, 594, 543, 28741, 24297, 12756, 269, 901, 19596, 711, 1152, 4564, 519, 22733, 2540, 6492, 585, 3140, 23609, 855, 849, 519, 1569, 11292, 547, 15049, 614, 547, 930, 540, 519, 1034, 1271, 23609, 538, 3703, 10070, 563, 3703, 7467, 476, 2735, 274, 267, 27157, 276, 269, 6872, 454, 21469, 13690, 828, 779, 630, 15433, 273, 1700, 11260, 276, 264, 12092, 729, 3370, 538, 476, 15094, 275, 543, 519, 1101, 1165, 1470, 540, 31408, 22210, 564, 779, 3778, 540, 1250, 1378, 5384, 729, 2022, 21065, 3585, 9102, 538, 519, 1482, 1032, 563, 1323, 19596, 17855, 540, 667, 691, 787, 607, 966, 4593, 870, 595, 8145, 11448, 676, 15049, 614, 729, 4421, 676, 667, 516, 933, 30476, 1299, 2349, 334, 1682, 12064, 267, 4873, 476, 1220, 278, 563, 22307, 2441, 773, 779, 5507, 267, 2904, 476, 1001, 273, 269, 0, 306, 663, 568, 16760, 5386, 14919, 3812, 689, 513, 2707, 1570, 543, 2966, 585, 946, 538, 6405, 610, 585, 824, 1808, 2472, 269, 8307, 2707, 2326, 609, 5078, 4222, 267, 15006, 543, 3337, 4162, 1058, 581, 1031, 269, 13870, 3622, 3322, 11493, 267, 9584, 543, 7654, 11067, 269, 9484, 9653, 883, 15768, 8454, 267, 21921, 1456, 543, 16471, 949, 581, 2556, 454, 10048, 3011, 3293, 9995, 568, 3812, 676, 8023, 2182, 10007, 540, 8795, 7306, 547, 3119, 543, 18520, 19854, 630, 297, 1177, 8302, 543, 595, 821, 8302, 1070, 585, 2450, 5786, 543, 891, 16760, 853, 2158, 616, 2417, 16760, 538, 26432, 1744, 10762, 8177, 630, 309, 10485, 264, 8302, 547, 2569, 519, 9325, 2450, 547, 602, 540, 5070, 269, 0, 763, 4446, 752, 9503, 476, 568, 4092, 538, 519, 7013, 3148, 540, 519, 4095, 1533, 540, 2667, 600, 269, 634, 1292, 2749, 540, 519, 14860, 568, 8125, 10420, 269, 634, 3148, 568, 3957, 1310, 519, 4446, 752, 5757, 269, 634, 4446, 752, 14860, 5631, 5161, 540, 1614, 11889, 13102, 540, 2667, 600, 3557, 910, 12077, 595, 778, 541, 267, 10127, 574, 1146, 329, 267, 543, 670, 841, 752, 663, 328, 269, 7324, 891, 1614, 13102, 267, 595, 778, 541, 20705, 547, 519, 918, 778, 926, 8003, 1354, 519, 3703, 14076, 267, 6466, 10127, 574, 1146, 329, 543, 670, 841, 752, 663, 328, 20705, 547, 519, 31506, 2867, 8664, 269, 10127, 574, 1146, 329, 729, 9674, 689, 31506, 2867, 1310, 519, 476, 3707, 278, 22275, 31558, 282, 609, 519, 1964, 540, 31506, 2867, 9991, 896, 5101, 9031, 630, 852, 16273, 264, 543, 10127, 574, 1146, 329, 896, 3127, 563, 763, 2012, 834, 21574, 752, 257, 814, 6508, 689, 519, 17435, 14505, 1913, 1412, 24154, 262, 1299, 1412, 298, 549, 8339, 4858, 1797, 536, 604, 584, 322, 566, 543, 918, 549, 5580, 6712, 270, 6894, 269, 634, 5757, 4446, 752, 568, 536, 604, 584, 322, 730, 2282, 4498, 527, 1731, 541, 538, 519, 10127, 574, 1146, 329, 8664, 883, 5080, 2742, 5211, 543, 918, 2313, 12011, 4673, 5211, 269, 634, 25318, 540, 713, 536, 604, 584, 322, 730, 5757, 729, 1572, 4858, 330, 549, 676, 519, 2199, 17435, 14505, 1004, 269, 3683, 519, 1296, 267, 4858, 330, 549, 3893, 10736, 883, 4446, 752, 563, 295, 785, 639, 574, 568, 519, 5354, 4984, 538, 519, 4446, 752, 9503, 269, 4340, 547, 519, 476, 1001, 272, 267, 519, 3909, 5888, 540, 519, 14860, 2551, 568, 607, 5205, 281, 27734, 281, 2004, 269, 271, 260, 630, 1240, 267, 1321, 267, 15221, 1070, 12356, 281, 4366, 269, 272, 260, 630, 1704, 267, 4510, 267, 4817, 279, 1070, 10271, 476, 272, 269, 277, 260, 630, 6812, 267, 277, 4037, 1070, 543, 1866, 476, 271, 269, 273, 10065, 634, 4446, 752, 9503, 568, 1482, 607, 824, 4025, 538, 3127, 1141, 12356, 616, 538, 2034, 4102, 12102, 2516, 1310, 27734, 269, 27734, 616, 519, 5354, 538, 595, 778, 541, 8664, 630, 2568, 15992, 1247, 12356, 616, 519, 5354, 538, 670, 841, 752, 663, 328, 8664, 630, 2568, 269, 4029, 8472, 543, 10127, 574, 1146, 329, 8664, 630, 6321, 269, 2918, 260, 1916, 30509, 689, 31506, 2867, 529, 267, 4446, 752, 9503, 568, 849, 519, 22657, 540, 19377, 529, 267, 17435, 553, 553, 267, 28294, 9766, 630, 13828, 645, 880, 333, 1575, 686, 5984, 543, 2725, 924, 328, 267, 681, 784, 1889, 328, 18491, 553, 267, 543, 7401, 4677, 2978, 537, 516, 3464, 264, 543, 930, 670, 3405, 2516, 269, 2986, 519, 1614, 13102, 267, 670, 841, 752, 663, 328, 10588, 543, 10127, 574, 1146, 329, 10588, 723, 7332, 5354, 1247, 595, 778, 541, 723, 9699, 5354, 563, 763, 3148, 729, 8385, 851, 540, 519, 25676, 3120, 10806, 267, 799, 729, 24509, 539, 676, 932, 1791, 2967, 538, 519, 476, 1626, 628, 10601, 547, 519, 918, 5255, 10806, 543, 13950, 676, 1010, 3368, 1532, 549, 750, 21919, 531, 333, 541, 18885, 269, 2991, 519, 2669, 540, 715, 4673, 23902, 18885, 267, 519, 10806, 267, 799, 3357, 547, 581, 1572, 519, 10806, 540, 10609, 5684, 584, 267, 2968, 4830, 543, 729, 12199, 676, 519, 18939, 540, 21919, 531, 333, 541, 18885, 269, 769, 519, 476, 1704, 628, 10601, 267, 519, 2063, 918, 5255, 14610, 781, 8250, 9310, 519, 4622, 540, 519, 918, 778, 926, 10806, 267, 543, 519, 4341, 540, 10609, 5684, 584, 5293, 883, 519, 3946, 540, 519, 918, 778, 926, 17710, 267, 945, 5555, 6410, 741, 3854, 689, 8575, 756, 836, 547, 10609, 5684, 584, 269, 634, 918, 778, 926, 10806, 729, 24509, 539, 547, 3703, 268, 19328, 538, 476, 8146, 273, 563, 4913, 267, 519, 17282, 540, 28753, 531, 7276, 538, 10127, 574, 1146, 329, 543, 670, 841, 752, 663, 328, 6368, 8694, 609, 519, 4367, 540, 3703, 4341, 538, 19377, 269, 634, 3768, 22866, 595, 778, 541, 8664, 630, 6518, 849, 2882, 27057, 1634, 607, 670, 841, 752, 663, 328, 8664, 264, 729, 3769, 547, 2667, 600, 676, 3703, 681, 592, 619, 538, 476, 8146, 273, 269, 634, 22071, 540, 519, 8664, 729, 8125, 10420, 269, 634, 3703, 14992, 3964, 513, 1360, 1804, 1297, 540, 21281, 25052, 630, 20135, 476, 14991, 264, 538, 519, 1858, 543, 8125, 10420, 7153, 607, 513, 1360, 1271, 4099, 538, 713, 851, 540, 519, 2197, 269, 2353, 2413, 941, 5189, 547, 519, 3148, 538, 2038, 14206, 2540, 563, 1103, 476, 3707, 278, 267, 950, 513, 5418, 321, 4593, 924, 729, 4371, 538, 31506, 2867, 267, 519, 8664, 729, 5258, 883, 1079, 282, 519, 9456, 851, 540, 31506, 2867, 799, 568, 1634, 607, 10127, 574, 1146, 329, 7283, 609, 3127, 6466, 519, 824, 851, 8593, 896, 5101, 9031, 269, 2983, 25140, 519, 3148, 568, 11303, 676, 15113, 689, 782, 1614, 5011, 4849, 922, 7262, 10750, 10465, 609, 16273, 269, 715, 8811, 541, 28234, 13568, 20858, 267, 2278, 540, 10854, 531, 597, 898, 8811, 1662, 267, 3081, 602, 834, 21026, 2667, 600, 1315, 17368, 14665, 19377, 610, 4446, 752, 9503, 568, 519, 10137, 540, 519, 20523, 5080, 2742, 270, 9288, 724, 3534, 9503, 540, 19377, 538, 1169, 2460, 689, 2528, 547, 11585, 8487, 10112, 600, 781, 5080, 2742, 9503, 630, 852, 14356, 538, 16273, 264, 1185, 7332, 2173, 1994, 640, 2551, 269, 2201, 519, 552, 557, 540, 15652, 267, 646, 8157, 2238, 14556, 1881, 676, 519, 7332, 13477, 607, 1134, 6837, 609, 519, 5449, 2348, 606, 6316, 269, 589, 22275, 31558, 1185, 1044, 6069, 585, 31506, 2867, 10588, 269, 631, 1794, 636, 323, 541, 2059, 609, 5178, 9017, 27958, 30605, 630, 6533, 5851, 10579, 540, 2667, 600, 264, 24964, 2429, 519, 14860, 1418, 2358, 519, 6837, 543, 5466, 11401, 18997, 519, 13999, 827, 519, 6364, 540, 15652, 593, 519, 4493, 540, 4984, 269, 2201, 476, 736, 5988, 476, 3707, 278, 631, 9567, 12858, 631, 1794, 636, 323, 541, 22305, 13894, 513, 15007, 1107, 2667, 600, 2817, 626, 7332, 781, 13482, 693, 8125, 10420, 269, 1703, 1310, 1776, 2462, 5870, 729, 4371, 693, 8125, 10420, 593, 476, 279, 4873, 476, 3707, 278, 269, 5637, 519, 11401, 267, 799, 941, 13984, 676, 513, 1804, 3296, 540, 12356, 6976, 26318, 269, 1261, 729, 849, 1851, 519, 1906, 945, 941, 15747, 538, 20808, 519, 4446, 752, 9503, 3148, 540, 2667, 600, 267, 2523, 10127, 574, 1146, 329, 609, 3127, 269, 631, 1794, 636, 323, 541, 729, 519, 6205, 540, 519, 15518, 566, 602, 5418, 12184, 1354, 519, 7101, 743, 858, 324, 8189, 602, 24458, 602, 513, 851, 540, 31506, 2867, 630, 852, 538, 16273, 264, 3788, 609, 3127, 5103, 1373, 7332, 2173, 1994, 640, 630, 30005, 10127, 574, 1146, 329, 8664, 1040, 1488, 684, 27958, 932, 7701, 1705, 711, 6443, 645, 867, 565, 16211, 22277, 538, 476, 3707, 277, 855, 9053, 547, 798, 1514, 960, 607, 513, 9777, 1807, 543, 849, 547, 10575, 3424, 519, 30856, 3872, 9872, 267, 717, 5861, 269, 5441, 269, 10251, 4166, 646, 5747, 6028, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20467, 10592, 2005, 814, 711, 1044, 8810, 2436, 519, 3830, 692, 21851, 6234, 513, 3867, 277, 15396, 321, 3867, 277, 13157, 322, 3867, 277, 15396, 323, 3867, 277, 32556, 13757, 513, 1875, 13700, 20190, 3070, 267, 314, 278, 316, 855, 519, 700, 6387, 267, 5244, 514, 267, 543, 8682, 16466, 28756, 675, 1131, 17538, 602, 621, 1281, 711, 269, 0, 15507, 454, 2171, 946, 12897, 547, 1711, 519, 1655, 1995, 585, 596, 269, 5901, 593, 19855, 952, 596, 616, 15528, 609, 602, 267, 610, 1265, 856, 875, 547, 4383, 12897, 780, 273, 526, 3446, 2979, 3992, 1544, 910, 12143, 7151, 692, 23087, 454, 763, 6044, 942, 585, 3446, 1079, 1565, 30211, 593, 2185, 2101, 2127, 282, 7393, 519, 1702, 540, 519, 3490, 4557, 711, 725, 267, 5355, 21711, 5473, 23937, 543, 10208, 687, 267, 7311, 3617, 2507, 692, 15761, 847, 540, 3732, 273, 526, 3446, 2979, 3992, 1544, 692, 763, 9916, 2152, 4125, 282, 3853, 267, 10148, 543, 3347, 630, 310, 4150, 267, 476, 1001, 274, 1040, 634, 2079, 6663, 693, 4058, 519, 3070, 13374, 267, 3079, 540, 1152, 2047, 20515, 519, 2626, 269, 634, 28879, 21295, 6267, 18113, 1174, 519, 5330, 1878, 5473, 4834, 267, 7515, 267, 11708, 267, 3466, 563, 763, 1883, 1565, 6662, 585, 519, 6128, 3992, 568, 282, 547, 3986, 519, 15334, 538, 1840, 543, 12408, 269, 634, 1053, 786, 4019, 741, 1620, 540, 1840, 543, 12408, 547, 2087, 9819, 21711, 1369, 476, 1911, 269, 2290, 1383, 540, 713, 568, 476, 736, 266, 2412, 284, 2568, 282, 1776, 1383, 568, 476, 2004, 268, 1015, 284, 2412, 269, 634, 1053, 616, 849, 4397, 547, 5659, 2042, 1369, 476, 1911, 271, 267, 676, 7311, 1840, 543, 12408, 3631, 563, 763, 4081, 1893, 3322, 8239, 267, 1806, 543, 5717, 269, 634, 8239, 3344, 2285, 519, 6267, 7850, 1620, 540, 519, 6310, 4191, 630, 297, 2129, 2335, 525, 267, 476, 1001, 274, 1040, 634, 815, 1129, 14550, 602, 1079, 1871, 5036, 616, 3160, 269, 1280, 3236, 476, 275, 266, 278, 284, 1556, 267, 14550, 602, 519, 2040, 540, 476, 275, 543, 476, 278, 9103, 1023, 547, 476, 1556, 269, 634, 1129, 3436, 14550, 602, 835, 1297, 568, 3152, 982, 1776, 1297, 540, 1305, 540, 2338, 269, 1280, 1383, 267, 476, 736, 268, 276, 285, 1015, 18575, 602, 519, 3017, 1063, 476, 736, 543, 476, 276, 568, 3152, 982, 519, 476, 1015, 1871, 563, 763, 1565, 3077, 543, 849, 1604, 568, 2875, 7874, 269, 634, 4901, 7886, 6087, 519, 1053, 547, 5659, 519, 2619, 547, 4267, 267, 538, 1899, 609, 519, 5528, 540, 519, 4116, 269, 634, 6267, 616, 849, 7494, 9415, 547, 2307, 2055, 267, 2523, 538, 2127, 602, 616, 14845, 269, 901, 10597, 1620, 267, 607, 519, 4116, 568, 1287, 519, 4316, 547, 2417, 14969, 593, 519, 11444, 547, 8757, 519, 3070, 563, 13528, 894, 4879, 568, 4294, 1282, 519, 3992, 269, 634, 4116, 2708, 525, 1053, 1620, 998, 6140, 7311, 2055, 269, 634, 1053, 616, 2016, 2055, 267, 543, 1287, 998, 1362, 5717, 519, 11444, 547, 519, 3435, 616, 5941, 630, 2704, 874, 517, 810, 267, 476, 1001, 274, 1040, 6271, 2460, 540, 6268, 14122, 2016, 17118, 1282, 519, 1576, 540, 3267, 3367, 2859, 454, 29241, 713, 3561, 454, 1892, 14905, 454, 1892, 17090, 454, 1892, 8863, 2975, 8980, 302, 454, 263, 2108, 273, 526, 3446, 2979, 3992, 1544, 12143, 7151, 1923, 11762, 543, 4270, 18838, 10749, 910, 476, 1911, 271, 1913, 5608, 562, 6155, 8094, 263, 273, 526, 6103, 4569, 7689, 4643, 12143, 7151, 1923, 11762, 543, 4270, 18838, 10749, 910, 476, 1911, 271, 9293, 994, 2108, 273, 526, 6103, 4569, 7689, 4643, 12143, 7151, 1923, 11762, 543, 4270, 18838, 10749, 910, 476, 1911, 271, 9293, 5608, 562, 6155, 269, 4179, 2517, 29324, 327, 732, 14492, 270, 25531, 270, 4037, 278, 7818, 268, 273, 526, 17263, 2173, 987, 268, 1652, 517, 13807, 534, 563, 12812, 547, 1711, 513, 6085, 454, 290, 4047, 290, 298, 8946, 2464, 292, 590, 4456, 12195, 2464, 910, 5990, 312, 9338, 12569, 28218, 22400, 570, 8008, 2975, 454, 8893, 4643, 454, 1103, 519, 1439, 267, 621, 568, 4397, 602, 519, 1053, 1131, 723, 519, 2556, 1620, 2877, 547, 1118, 873, 811, 9280, 540, 7713, 519, 1184, 540, 3141, 23438, 543, 23863, 538, 741, 1378, 1913, 269, 9747, 267, 519, 6859, 540, 713, 3992, 1544, 1223, 581, 1759, 593, 519, 5748, 540, 1620, 602, 5205, 563, 274, 9664, 263, 16020, 1913, 264, 10112, 9892, 454, 8893, 1544, 454, 684, 543, 875, 519, 28835, 540, 519, 3618, 5540, 519, 2990, 540, 519, 3141, 950, 621, 14380, 543, 950, 621, 5036, 1131, 581, 513, 1454, 5363, 1907, 547, 948, 519, 1053, 1174, 875, 519, 1767, 5163, 540, 519, 3141, 4386, 269, 769, 519, 1439, 267, 621, 568, 4397, 602, 519, 1053, 1131, 723, 519, 2556, 454, 275, 9664, 263, 1911, 271, 1913, 264, 10112, 9892, 454, 1103, 4947, 909, 609, 891, 8925, 267, 621, 786, 581, 711, 1881, 547, 873, 711, 547, 6615, 741, 3206, 547, 3435, 602, 616, 2047, 5532, 547, 519, 2042, 4805, 269, 1358, 786, 849, 581, 2838, 547, 1331, 454, 272, 9664, 263, 7742, 1913, 264, 10112, 9892, 454, 8893, 1544, 454, 12234, 267, 513, 1134, 19603, 545, 4327, 3992, 1544, 2636, 519, 2875, 547, 4487, 519, 1565, 1184, 543, 1852, 741, 1565, 269, 4475, 267, 3992, 1544, 1058, 8597, 585, 519, 1565, 2115, 540, 782, 1053, 454, 272, 9664, 263, 7742, 1913, 264, 10112, 9892, 454, 13043, 543, 3163, 281, 7689, 4643, 454, 2026, 519, 2278, 540, 519, 1957, 12662, 621, 267, 519, 1292, 6662, 540, 519, 1544, 568, 547, 1118, 1053, 581, 2111, 547, 10146, 519, 1272, 4783, 540, 17984, 543, 2721, 12805, 5961, 585, 1169, 2582, 2985, 540, 519, 8343, 4760, 269, 5047, 267, 547, 1118, 621, 2009, 585, 1053, 547, 3927, 20559, 782, 519, 2185, 11775, 16030, 513, 18173, 1272, 4783, 563, 275, 9664, 263, 1911, 271, 1913, 264, 10112, 9892, 454, 8893, 1544, 454, 17843, 2747, 568, 4105, 538, 2027, 2069, 607, 1114, 1053, 723, 1114, 13344, 543, 15285, 1058, 4061, 581, 3769, 538, 519, 3992, 1544, 269, 769, 519, 3992, 1544, 267, 519, 1114, 328, 1807, 538, 519, 2027, 2069, 1058, 1397, 875, 547, 3313, 519, 1523, 17117, 454, 272, 9664, 263, 7742, 1913, 264, 10112, 9892, 454, 10861, 454, 11592, 856, 2101, 10486, 543, 3604, 269, 6341, 7204, 1797, 30286, 2055, 547, 519, 2698, 1895, 267, 3850, 873, 942, 547, 1589, 267, 543, 1287, 10912, 593, 1362, 2818, 11347, 540, 519, 2702, 31324, 540, 519, 1895, 630, 2865, 2111, 267, 3328, 267, 2547, 2111, 1040, 901, 1184, 6212, 3025, 454, 273, 9664, 263, 4335, 1913, 264, 10112, 9892, 454, 8893, 4643, 454, 763, 15823, 1913, 538, 513, 9910, 521, 15676, 1590, 17663, 540, 1614, 6810, 267, 799, 616, 4098, 267, 1647, 543, 1439, 609, 519, 17181, 540, 513, 2140, 269, 22387, 29345, 553, 1404, 513, 2101, 1909, 538, 2110, 1603, 4245, 1317, 454, 275, 9664, 263, 1911, 271, 1913, 264, 10112, 9892, 454, 8893, 4643, 454, 696, 1308, 885, 5148, 476, 272, 2875, 568, 606, 2296, 5678, 3231, 1676, 630, 21822, 264, 693, 519, 13591, 1377, 282, 476, 274, 1053, 723, 1044, 8995, 609, 3007, 17211, 30759, 4524, 630, 4696, 8461, 264, 16340, 6662, 281, 676, 519, 1439, 540, 519, 3992, 267, 519, 4841, 1058, 581, 2111, 547, 2697, 543, 30387, 454, 273, 9664, 263, 4335, 1913, 264, 10112, 9892, 454, 8893, 1544, 454, 8196, 27326, 4804, 11621, 952, 3617, 610, 7216, 4804, 11621, 952, 3617, 25103, 547, 25204, 779, 12525, 16860, 543, 11154, 539, 25204, 779, 12525, 16860, 952, 3617, 13445, 281, 19019, 531, 5583, 1107, 713, 3044, 20781, 547, 519, 1585, 3029, 540, 5528, 2016, 547, 519, 454, 273, 9664, 263, 4335, 1913, 264, 10112, 9892, 454, 266, 14321, 13199, 1220, 6187, 0, 1012, 1215, 798, 596, 798, 8262, 13356, 2711, 6498, 2496, 15965, 728, 16360, 580, 13356, 2711, 27708, 267, 703, 4336, 267, 681, 15929, 300, 1712, 24263, 300, 1712, 264, 7024, 513, 8262, 13356, 2711, 4171, 1871, 568, 630, 10472, 1315, 27708, 1070, 543, 4171, 4336, 568, 607, 9138, 269, 1403, 24263, 1590, 581, 5340, 547, 5352, 513, 1267, 609, 519, 9138, 4336, 267, 519, 9138, 24263, 7154, 568, 4294, 780, 1432, 568, 4336, 538, 8262, 13356, 2711, 7941, 2496, 306, 7051, 3890, 540, 19147, 1505, 538, 8262, 13356, 2711, 16849, 513, 8262, 13356, 2711, 4171, 1871, 568, 630, 10472, 1315, 27708, 1070, 543, 4171, 9053, 4336, 568, 630, 10472, 269, 4336, 3890, 1107, 27708, 269, 4336, 3890, 5148, 1924, 538, 713, 2013, 267, 476, 4391, 272, 275, 4792, 4649, 269, 276, 4343, 8517, 876, 779, 4336, 568, 476, 279, 2073, 543, 476, 1911, 1822, 271, 2048, 338, 4336, 568, 476, 271, 1547, 1924, 519, 1267, 1058, 723, 513, 4336, 540, 476, 279, 2073, 711, 476, 1015, 16317, 1432, 568, 519, 3017, 1063, 8918, 543, 8262, 13356, 2711, 2496, 297, 6072, 779, 8262, 13356, 2711, 814, 519, 3606, 5413, 602, 621, 666, 723, 606, 17062, 630, 8117, 13113, 264, 1297, 540, 9704, 593, 1312, 5011, 540, 519, 8918, 1448, 267, 3908, 1152, 676, 519, 2139, 3965, 269, 8262, 13356, 2711, 568, 26057, 779, 17062, 1790, 13440, 1707, 10230, 5399, 780, 2162, 1548, 568, 8262, 13356, 2711, 4336, 2496, 288, 8262, 13356, 2711, 5161, 540, 606, 17062, 8856, 8870, 796, 2675, 4705, 1871, 543, 513, 476, 3953, 19229, 8870, 4336, 269, 1403, 4642, 610, 2318, 267, 519, 4336, 568, 519, 1297, 540, 9704, 547, 519, 1318, 540, 519, 8918, 1448, 269, 1403, 2942, 267, 519, 796, 2675, 4705, 1871, 540, 519, 1297, 568, 16611, 676, 4557, 547, 519, 1379, 540, 519, 2258, 566, 540, 519, 4336, 780, 1692, 798, 596, 2040, 8262, 13356, 2711, 2496, 4118, 269, 8262, 13356, 2711, 269, 1039, 16360, 580, 13356, 2711, 1130, 264, 568, 1031, 547, 5173, 519, 25226, 2040, 540, 1079, 8262, 13356, 7769, 269, 901, 1505, 568, 1031, 547, 1265, 12980, 1840, 540, 1804, 2338, 540, 2039, 1454, 3152, 982, 519, 2039, 540, 4102, 1239, 1826, 5595, 540, 10084, 1510, 18731, 609, 519, 8856, 540, 519, 1267, 780, 1692, 798, 594, 1305, 2462, 8918, 1871, 2496, 763, 1655, 1259, 547, 1711, 513, 8262, 13356, 2711, 1843, 609, 606, 3355, 8918, 1871, 568, 3842, 513, 5569, 267, 899, 713, 281, 8262, 13356, 2711, 1871, 815, 1007, 8262, 13356, 2711, 263, 2108, 271, 269, 4905, 892, 5148, 3371, 267, 1871, 814, 513, 1871, 540, 4010, 476, 271, 269, 4905, 269, 1403, 519, 3355, 1871, 568, 606, 8870, 267, 596, 666, 9108, 1780, 621, 547, 519, 4020, 528, 780, 2971, 1215, 798, 594, 917, 952, 1250, 8262, 18204, 518, 568, 4642, 2496, 763, 28162, 269, 2979, 269, 8262, 18204, 518, 269, 1129, 636, 3890, 1505, 2337, 721, 547, 2697, 2436, 513, 8262, 18204, 518, 568, 2318, 610, 4642, 610, 2942, 780, 272, 269, 7024, 910, 272, 950, 1297, 568, 2942, 563, 273, 269, 7024, 476, 271, 950, 1297, 568, 4642, 563, 274, 269, 7024, 1341, 272, 950, 1297, 568, 2318, 780, 1692, 547, 7941, 543, 7941, 513, 8262, 13356, 2711, 538, 10084, 2496, 297, 6072, 269, 4118, 11065, 580, 13356, 2711, 6155, 643, 728, 3890, 6396, 269, 13517, 269, 634, 28162, 269, 4118, 11065, 580, 13356, 2711, 6155, 643, 728, 16360, 580, 13356, 2711, 27708, 267, 703, 4336, 267, 681, 15929, 300, 1712, 24263, 300, 1712, 264, 7024, 513, 8262, 13356, 2711, 4171, 1871, 568, 630, 10472, 1315, 27708, 1070, 543, 4171, 4336, 568, 607, 9138, 269, 1403, 24263, 1590, 581, 5340, 547, 5352, 513, 1267, 609, 519, 9138, 4336, 267, 519, 9138, 24263, 7154, 568, 4294, 780, 1692, 798, 596, 5173, 519, 14230, 540, 513, 8262, 13356, 2711, 2496, 8025, 529, 1505, 7024, 513, 1079, 3887, 2211, 8262, 13356, 2711, 5044, 5627, 519, 1267, 540, 7941, 2414, 18204, 1537, 19368, 4553, 676, 519, 1267, 540, 14230, 593, 519, 1079, 1766, 1343, 7229, 609, 24263, 2687, 547, 519, 4569, 3519, 3667, 5468, 269, 901, 1505, 7024, 513, 8262, 13356, 2711, 4171, 1871, 568, 519, 8870, 851, 540, 519, 23479, 630, 10472, 1315, 27708, 264, 17031, 1524, 780, 1012, 1548, 568, 519, 2132, 1871, 540, 519, 8262, 13356, 2711, 1505, 2496, 27987, 1871, 281, 901, 1505, 7024, 513, 8262, 13356, 2711, 799, 6585, 519, 1267, 630, 10472, 1315, 27708, 1040, 1401, 4003, 281, 1403, 9936, 27708, 568, 476, 271, 610, 519, 3169, 23479, 1281, 711, 723, 513, 2165, 3215, 8918, 7269, 1287, 25226, 1401, 4003, 568, 16207, 269, 12989, 3292, 568, 1031, 547, 9414, 519, 7941, 20465 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 6097, 547, 519, 772, 2529, 269, 4972, 540, 4065, 543, 519, 2817, 4659, 540, 17402, 267, 827, 476, 3953, 2929, 4079, 538, 519, 2136, 2276, 3112, 1224, 269, 769, 1249, 267, 476, 2004, 260, 540, 772, 2529, 269, 4079, 3112, 1224, 606, 21632, 17263, 1377, 1433, 269, 476, 3607, 2929, 2475, 4079, 3668, 519, 2596, 7924, 1983, 2877, 547, 2844, 7694, 563, 26877, 3438, 2329, 543, 1970, 7924, 616, 3978, 2152, 585, 2475, 7855, 267, 14519, 267, 543, 2950, 269, 15775, 1453, 547, 1224, 693, 741, 3446, 1377, 568, 2565, 607, 621, 5036, 873, 909, 585, 2104, 1967, 269, 7335, 547, 1453, 1354, 789, 666, 1224, 543, 3246, 1569, 547, 2835, 616, 4105, 547, 2679, 513, 2542, 2528, 269, 3371, 779, 875, 2542, 5036, 909, 1453, 585, 1967, 538, 1272, 563, 272, 269, 898, 9214, 1162, 24517, 1674, 543, 2598, 23002, 454, 19894, 2542, 5751, 513, 1126, 779, 2634, 543, 10597, 9015, 543, 5834, 269, 898, 779, 4686, 585, 1360, 1762, 1453, 547, 1694, 1869, 585, 3108, 543, 1445, 593, 835, 3364, 269, 7335, 666, 948, 269, 589, 1126, 949, 7620, 1205, 26531, 1282, 2542, 267, 855, 609, 942, 267, 789, 786, 1451, 547, 1445, 2394, 519, 1439, 269, 7335, 4679, 1453, 779, 3007, 12732, 267, 1582, 16162, 23002, 267, 543, 3965, 12802, 734, 24207, 1983, 538, 15296, 563, 273, 269, 3763, 338, 22569, 1588, 543, 27065, 454, 3412, 698, 1588, 11942, 5042, 543, 1514, 1646, 269, 22569, 1456, 267, 19234, 267, 543, 3843, 1007, 2081, 540, 3257, 1919, 666, 948, 1453, 1020, 2565, 3206, 543, 1966, 6061, 1983, 269, 2290, 540, 519, 6574, 2640, 540, 2542, 568, 621, 25242, 9345, 269, 1879, 513, 1126, 14509, 513, 1650, 1433, 267, 789, 4605, 3388, 12667, 569, 538, 741, 8186, 563, 20091, 3292, 585, 3214, 666, 8300, 1453, 547, 946, 741, 9345, 543, 2263, 4025, 267, 1004, 267, 2053, 267, 543, 2621, 3564, 741, 2833, 269, 11109, 513, 1126, 7058, 1018, 779, 2469, 547, 4755, 538, 519, 1650, 543, 7487, 741, 10761, 607, 789, 1224, 513, 1433, 568, 513, 5963, 5863, 3364, 269, 589, 1126, 781, 9345, 10607, 607, 789, 1224, 2835, 538, 1114, 11964, 269, 22419, 616, 2565, 17024, 269, 11879, 3206, 25242, 5876, 267, 4543, 1453, 8011, 693, 1153, 543, 538, 1272, 563, 274, 269, 16259, 585, 14288, 11773, 454, 763, 811, 1913, 513, 1126, 25998, 609, 267, 519, 811, 1913, 789, 1451, 543, 519, 6793, 741, 1893, 1983, 269, 634, 811, 789, 1224, 267, 519, 811, 789, 917, 543, 519, 2362, 741, 8458, 540, 4271, 908, 689, 1164, 1153, 543, 8011, 532, 538, 1272, 563, 2750, 19397, 1453, 547, 2542, 1354, 9251, 4679, 519, 10171, 540, 873, 3257, 1134, 538, 1153, 269, 898, 849, 13976, 741, 1514, 1983, 543, 2337, 873, 547, 5968, 1732, 563, 4942, 9582, 267, 13093, 2438, 4656, 267, 5711, 2542, 21711, 267, 6863, 267, 543, 2542, 8223, 616, 519, 2947, 2038, 2542, 1983, 1898, 585, 1646, 269, 7335, 693, 606, 2038, 2085, 2337, 1453, 2744, 891, 1983, 269, 1358, 1451, 1007, 1913, 267, 1332, 741, 6863, 267, 543, 1020, 6947, 1983, 734, 718, 540, 799, 616, 4105, 547, 4081, 1967, 563, 275, 269, 12706, 338, 513, 774, 1009, 585, 11310, 454, 15447, 1578, 568, 1271, 538, 782, 2127, 540, 1272, 269, 634, 811, 1453, 1224, 267, 519, 811, 789, 917, 269, 7335, 13976, 7279, 1317, 519, 5467, 786, 1616, 547, 917, 1018, 4523, 1985, 269, 1358, 2307, 2055, 543, 4605, 1114, 7653, 563, 20091, 16965, 547, 1453, 21040, 741, 1620, 540, 519, 1158, 543, 22262, 741, 9345, 269, 898, 849, 2337, 873, 1020, 6947, 543, 1893, 1983, 543, 547, 1174, 519, 2854, 2262, 269, 4634, 1310, 513, 1126, 16137, 547, 1224, 267, 621, 781, 1869, 1271, 585, 596, 547, 1224, 16965, 1927, 269, 19530, 713, 9137, 0, 21010, 532, 1533, 543, 2199, 2229, 3401, 454, 288, 1184, 1572, 20291, 7127, 267, 1031, 676, 4872, 2066, 519, 2197, 267, 568, 5921, 547, 6474, 15602, 1004, 609, 8027, 269, 769, 5842, 12770, 779, 4528, 267, 519, 1062, 1223, 581, 1818, 621, 9875, 585, 930, 5095, 547, 1205, 16280, 563, 307, 629, 603, 320, 16026, 1185, 1175, 4503, 21054, 538, 27638, 543, 729, 6849, 26683, 269, 634, 476, 2537, 4458, 6040, 1185, 11739, 696, 593, 2828, 685, 19683, 585, 519, 1101, 5722, 3275, 540, 1200, 6379, 267, 1354, 1373, 7608, 547, 513, 10151, 8027, 1982, 585, 9176, 2021, 269, 1809, 609, 519, 2530, 540, 519, 21054, 267, 519, 8027, 1982, 1352, 8910, 4294, 547, 2661, 538, 1310, 4758, 4332, 2443, 5497, 585, 3885, 2443, 729, 1100, 3476, 606, 4781, 563, 5475, 1896, 4374, 538, 513, 15678, 267, 799, 513, 27514, 1982, 585, 15602, 1004, 1185, 6976, 585, 1247, 1352, 16626, 267, 16026, 4682, 547, 513, 15839, 2679, 538, 5842, 12770, 779, 3162, 540, 10369, 8378, 547, 4019, 585, 513, 8628, 267, 13564, 1242, 8027, 1770, 269, 1703, 267, 513, 2013, 11832, 1352, 8910, 2760, 1558, 4280, 1200, 811, 982, 513, 18797, 2055, 547, 3313, 952, 1352, 729, 14718, 563, 5278, 540, 519, 1919, 646, 4280, 281, 5620, 596, 2479, 1044, 16770, 14213, 539, 1247, 7680, 26683, 286, 5620, 596, 2479, 1185, 547, 946, 5208, 547, 1832, 3054, 2922, 1247, 7680, 26683, 286, 5620, 596, 2479, 22121, 3023, 585, 513, 1747, 547, 3251, 286, 968, 17829, 616, 519, 2055, 602, 2731, 536, 6139, 1042, 803, 2223, 1352, 1767, 269, 968, 2662, 7241, 1250, 1995, 568, 540, 1373, 16770, 14213, 539, 267, 610, 1018, 594, 1185, 547, 798, 538, 1931, 547, 3251, 2922, 593, 519, 10754, 267, 12582, 1406, 829, 1555, 547, 2436, 610, 711, 594, 17330, 8027, 3034, 6546, 1554, 267, 16026, 729, 5483, 602, 519, 6060, 1352, 8910, 1044, 2016, 1759, 593, 1200, 4267, 547, 519, 18102, 7012, 1406, 1164, 2614, 547, 20618, 585, 8628, 11215, 8027, 269, 898, 729, 513, 14042, 9514, 1310, 606, 2907, 911, 15436, 1944, 1906, 3275, 269, 968, 296, 2219, 267, 2048, 2791, 2322, 803, 593, 519, 10754, 1318, 1631, 267, 15508, 267, 594, 786, 6146, 8885, 16224, 892, 1352, 1767, 563, 1432, 16026, 11402, 609, 1346, 2055, 568, 1572, 20291, 7127, 267, 513, 1062, 2966, 547, 6474, 1004, 7680, 26683, 609, 8027, 269, 769, 5842, 12770, 779, 1062, 267, 23078, 616, 4280, 476, 1626, 4295, 2055, 267, 543, 741, 4267, 616, 2016, 513, 1448, 1871, 799, 568, 1287, 7381, 1221, 269, 634, 2698, 1297, 568, 5497, 547, 2992, 23078, 685, 13438, 282, 4867, 267, 513, 6060, 540, 476, 14093, 2798, 1797, 789, 20618, 585, 835, 540, 519, 2749, 779, 8628, 11215, 8027, 4559, 267, 799, 568, 13564, 1242, 676, 519, 2229, 543, 2501, 609, 12109, 1706, 895, 11215, 2533, 269, 7248, 1218, 609, 2539, 8464, 949, 20618, 585, 10519, 6351, 610, 513, 1668, 19044, 856, 540, 4884, 267, 855, 952, 789, 1616, 8027, 538, 5842, 12770, 267, 789, 723, 547, 7227, 3670, 3275, 1354, 2921, 519, 1449, 1586, 563, 15987, 519, 2749, 779, 4972, 540, 13067, 6804, 1145, 543, 8081, 633, 24184, 814, 606, 5993, 6578, 540, 1269, 6795, 279, 2929, 543, 519, 5354, 540, 602, 568, 6170, 593, 8027, 267, 972, 3274, 5749, 1406, 2614, 8628, 11215, 8027, 4559, 2139, 547, 13918, 519, 5215, 540, 15602, 1004, 538, 5842, 12770, 269, 630, 288, 476, 1001, 280, 5619, 6059, 519, 1297, 540, 15602, 1004, 693, 811, 982, 476, 279, 267, 1822, 4700, 634, 12939, 585, 13170, 568, 2047, 13615, 547, 8027, 8244, 267, 543, 1318, 1631, 267, 10199, 835, 21017, 540, 1004, 945, 1491, 519, 4879, 6060, 1164, 2614, 547, 20618, 563, 17606, 779, 2731, 26724, 17077, 2200, 2223, 1767, 595, 2106, 628, 807, 18491, 754, 571, 267, 519, 8257, 779, 1244, 14280, 8689, 540, 4058, 543, 4640, 269, 968, 2467, 814, 547, 581, 930, 3922, 1436, 267, 19890, 267, 2394, 649, 723, 930, 8027, 4199, 585, 1169, 2582, 1268, 3034, 10870, 867, 3990, 7127, 729, 5921, 547, 581, 513, 811, 6662, 1907, 982, 519, 3105, 1062, 267, 799, 6035, 2200, 593, 513, 1101, 2275, 727, 267, 1101, 1606, 5703, 4493, 269, 769, 4334, 267, 20291, 7127, 6663, 547, 3313, 945, 568, 1034, 7925, 543, 945, 1058, 4061, 1205, 1569, 547, 519, 3908, 3761, 540, 2139, 8027, 563, 7437, 5638, 13668, 267, 519, 5842, 12770, 5398, 4964, 543, 1160, 14276, 320, 5833, 519, 2055, 543, 18176, 5690, 1031, 538, 5842, 12770, 779, 20291, 7127, 18102, 267, 799, 814, 2760, 1354, 1044, 1500, 1857, 269, 634, 3377, 3906, 1151, 545, 1243, 5955, 593, 602, 1907, 689, 4395, 11060, 4600, 267, 19174, 543, 1004, 7680, 26683, 269, 2368, 6659, 1843, 687, 547, 875, 519, 2055, 941, 2236, 1078, 269, 11524, 11329, 856, 31716, 538, 519, 18176, 269, 1656, 1082, 811, 22309, 519, 1259, 621, 729, 13950, 267, 11021, 602, 519, 1184, 3294, 2443, 538, 799, 23078, 616, 4280, 1360, 2123, 2055, 676, 513, 24928, 2443, 1522, 1118, 621, 12691, 602, 2907, 1673, 626, 5962, 1004, 1131, 2626, 8308, 563, 1103, 938, 11042, 267, 621, 2968, 2312, 602, 519, 5619, 14543, 547, 2697, 1082, 540, 519, 16426, 621, 729, 5497, 547, 6952, 269, 1656, 1018, 729, 9277, 547, 581, 606, 6662, 1907, 12798, 909, 267, 607, 513, 1267, 540, 875, 621, 779, 2854, 543, 13950, 267, 1818, 621, 9875, 585, 1978, 5095, 2443, 11082, 267, 1762, 1004, 543, 19574, 1004, 267, 1851, 1866, 2443, 547, 1205, 16280, 267, 4966, 543, 15156, 5143, 721, 563, 2690, 16026, 267, 602, 5921, 930, 540, 519, 23434, 1352, 729, 7680, 941, 15763, 269, 1280, 3236, 267, 972, 729, 1100, 2243, 538, 519, 5619, 602, 1131, 2285, 1200, 2798, 585, 519, 9271, 1352, 1185, 1175, 11124, 269, 674, 9430, 547, 20618, 585, 8027, 8507, 538, 4374, 540, 2566, 543, 16132, 1247, 1352, 16626, 689, 519, 8194, 540, 9561, 1200, 1453, 269, 16828, 267, 609, 519, 6351, 540, 2013, 4600, 693, 1896, 3906, 267, 1352, 1336, 513, 1747, 538, 513, 27139, 8027, 1982, 585, 6107, 269, 1809, 1373, 5143, 267, 1282, 519, 9803, 4090, 540, 1200, 1272, 267, 602, 1352, 1705, 711, 20618, 585, 8628, 8027, 2451, 922, 1665, 269, 968, 2005, 1500, 803, 1745, 23380, 538, 1250, 1378, 1995, 2223, 1352, 1767, 563, 1103, 3210, 547, 891, 31886, 267, 26683, 8257, 22557, 17367, 667, 10154, 7557, 1075, 320, 8566, 516, 2041, 1767, 538, 606, 4757, 267, 968, 296, 1616, 547, 1118, 621, 2312, 602, 4896, 945, 2501, 547, 938, 8257, 585, 948, 1058, 10691, 2048, 2041, 2451, 856, 10200, 892, 1280, 1346, 16363, 538, 601, 580, 1043, 585, 8027, 267, 646, 1767, 519, 2749, 3091, 824, 2533, 282, 891, 949, 1331, 12062, 1747, 906, 267, 882, 6327, 948, 543, 23934, 6351, 269, 769, 2489, 267, 519, 8257, 1185, 711, 15527, 547, 13668, 585, 8292, 827, 1367, 2665, 538, 519, 2250, 267, 543, 621, 4769, 1406, 6085, 593, 16026, 685, 1995, 563, 10870, 867, 3990, 7127, 729, 1101, 8045, 538, 476, 1001, 279, 267, 1310, 519, 4972, 540, 24184, 543, 12124, 4886, 3459, 8506, 4525, 602, 4019, 585, 5313, 26683, 7482, 547, 1711, 513, 1907, 968, 1729, 2327, 602, 1004, 945, 991, 6351, 519, 1034, 666, 4309, 621, 538, 513, 12905, 6073, 1848, 13518, 540, 519, 1964, 540, 519, 2197, 7550, 513, 1907, 1572, 519, 23977, 1676, 1464, 12039, 267, 6796, 26875, 1436, 17423, 26859, 15484, 269, 5842, 12770, 2919, 922, 1378, 1305, 540, 2055, 267, 5497, 547, 3313, 799, 21379, 748, 539, 1004, 616, 538, 6574, 991, 540, 513, 1753, 563, 1103, 519, 2185, 1296, 2094, 519, 10421, 729, 8045, 267, 930, 4872, 543, 17521, 723, 12649, 741, 20291, 7127, 1949, 543, 20114, 3466, 971, 607, 1713, 7292, 610, 4008, 12886, 269, 589, 476, 1001, 280, 2079, 540, 1239, 689, 14822, 267, 9098, 267, 543, 6115, 1336, 602, 1256, 1498, 1004, 540, 2681, 941, 936, 21323, 538, 519, 15602, 2551, 267, 789, 22157, 547, 6060, 3648, 2539, 982, 741, 3043, 13413, 267, 1818, 621, 9875, 585, 873, 547, 1569, 8628, 11215, 8027, 269, 634, 1353, 5227, 602, 670, 11070, 2015, 2847, 2358, 922, 20291, 7127, 4808, 547, 2327, 602, 2950, 968, 3225, 19935, 21138, 2200, 543, 2533, 1848, 901, 1032, 267, 5842, 12770, 3323, 922, 1378, 2079, 540, 922, 20291, 7127, 1184, 267, 543, 621, 26770, 547, 1459, 519, 4681, 1354, 519, 1439, 540, 519, 1032, 563, 301, 22022, 1169, 4274, 649, 26906, 6700, 602, 519, 2833, 540, 1004, 540, 2681, 949, 711, 581, 4628, 10630, 538, 741, 4267, 547, 519, 20291, 7127, 2055, 269, 5842, 12770, 779, 1378, 1239, 2982, 4563, 267, 3043, 267, 7489, 543, 7087, 1004, 1373, 9516, 585, 8027, 693, 10199, 3160, 3928 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3442, 519, 5885, 2533, 602, 616, 2556, 585, 519, 1870, 547, 1599, 267, 8939, 873, 689, 519, 1592, 269, 3973, 267, 1305, 519, 10862, 585, 519, 1870, 3028, 269, 901, 10862, 11887, 799, 13685, 786, 1764, 621, 267, 543, 799, 786, 4159, 593, 519, 1870, 3028, 4567, 21686, 4580, 269, 0, 14106, 6002, 723, 15600, 713, 2022, 476, 736, 2053, 563, 21995, 17374, 8254, 5468, 912, 763, 32588, 8254, 6216, 568, 1134, 8153, 585, 6721, 1164, 7779, 12514, 602, 8597, 547, 1312, 23153, 543, 3318, 21706, 269, 1452, 12514, 2709, 513, 2647, 2039, 540, 5468, 543, 2934, 602, 1450, 3755, 547, 7001, 10875, 11147, 563, 20058, 267, 1577, 779, 1376, 609, 519, 4598, 7154, 5468, 269, 32588, 12514, 3335, 2709, 1614, 1292, 4598, 12331, 281, 5358, 630, 303, 1070, 589, 13630, 675, 13405, 640, 630, 13510, 1070, 543, 1744, 13616, 13405, 640, 630, 307, 341, 1040, 5358, 7154, 2636, 519, 8254, 547, 1305, 1312, 519, 27934, 543, 9505, 614, 3432, 267, 3246, 513, 10375, 4781, 585, 14987, 269, 589, 13630, 675, 13405, 640, 7154, 2636, 3755, 547, 1852, 519, 27934, 1247, 519, 8254, 4188, 338, 519, 9505, 614, 3432, 9935, 269, 1744, 13616, 13405, 640, 7154, 267, 593, 519, 824, 1688, 267, 6087, 3755, 547, 1305, 519, 5551, 9505, 614, 3432, 1247, 519, 8254, 4188, 338, 519, 27934, 563, 9202, 267, 649, 723, 519, 18869, 4259, 267, 799, 11887, 519, 8254, 779, 8417, 547, 1769, 269, 32588, 12514, 1419, 2709, 513, 2647, 2039, 540, 18869, 3681, 267, 689, 1970, 2418, 899, 476, 1911, 585, 6505, 2175, 547, 2362, 2418, 899, 476, 17168, 271, 585, 1970, 2000, 697, 3871, 269, 898, 779, 1898, 547, 3442, 519, 3617, 18869, 1871, 1759, 593, 519, 8654, 2175, 547, 2057, 6846, 610, 10286, 1465, 538, 519, 3803, 3239, 563, 5194, 4105, 4259, 568, 519, 3043, 3666, 630, 310, 289, 264, 4259, 269, 901, 4259, 5849, 602, 519, 4778, 538, 707, 8523, 2408, 8308, 269, 32588, 12514, 1683, 1114, 3043, 3666, 1095, 1115, 971, 607, 16790, 267, 4303, 2775, 267, 1744, 1228, 267, 13192, 344, 267, 570, 32500, 267, 12071, 2803, 1417, 267, 543, 18044, 269, 19805, 519, 2953, 3043, 3666, 4259, 786, 948, 596, 7001, 3076, 601, 833, 543, 2067, 23302, 6337, 563, 763, 1558, 1359, 7154, 568, 1776, 1271, 4259, 593, 32588, 12514, 269, 898, 11887, 875, 519, 8254, 3800, 543, 27786, 519, 1769, 538, 513, 6429, 269, 634, 1034, 1455, 1558, 1359, 12331, 616, 10159, 340, 894, 267, 4741, 27954, 539, 19105, 267, 543, 20128, 1558, 1359, 269, 10159, 340, 894, 1558, 1359, 568, 519, 9949, 7154, 267, 6236, 519, 2898, 7406, 585, 4598, 9273, 269, 4741, 27954, 539, 19105, 1558, 1359, 3922, 3278, 519, 3844, 6712, 540, 519, 7406, 1247, 20128, 1558, 1359, 6212, 593, 513, 1507, 5544, 543, 2488, 5730, 4598, 563, 4692, 517, 12514, 849, 2709, 1585, 1313, 1993, 1371, 630, 28425, 264, 5468, 269, 1452, 5468, 3313, 875, 519, 8254, 6212, 593, 513, 1641, 269, 2290, 4122, 1031, 4259, 568, 2290, 4149, 14653, 19200, 267, 799, 25437, 1445, 593, 513, 19335, 1641, 950, 519, 9505, 614, 7735, 568, 20158, 28870, 269, 6271, 4259, 267, 3642, 4419, 334, 19200, 267, 11179, 13475, 3001, 5396, 547, 2226, 1445, 269, 3642, 10312, 19200, 267, 519, 3791, 4781, 267, 8850, 17176, 1063, 2290, 4149, 14653, 543, 3642, 4419, 334, 1759, 593, 519, 1641, 779, 3350, 563, 2690, 13830, 3728, 2173, 8221, 5396, 610, 16171, 5163, 267, 519, 9505, 614, 3432, 4259, 568, 2629, 269, 32588, 12514, 1450, 3755, 547, 4188, 519, 9505, 614, 3432, 547, 1852, 519, 2179, 540, 1769, 10024, 519, 8254, 607, 1134, 607, 519, 4110, 540, 5163, 20747, 538, 513, 8523, 269, 16258, 9505, 614, 11250, 630, 324, 3052, 1421, 476, 272, 270, 1911, 271, 338, 610, 2362, 264, 19068, 2962, 267, 1247, 3500, 9505, 614, 11250, 630, 324, 3052, 1421, 476, 272, 270, 1789, 338, 610, 14887, 264, 666, 1711, 18532, 5163, 20747, 563, 2414, 1852, 519, 3178, 540, 2361, 267, 21706, 666, 4188, 519, 27934, 4259, 269, 589, 9962, 27934, 630, 20791, 518, 535, 14672, 3784, 264, 2164, 538, 513, 13719, 3178, 540, 2361, 267, 1141, 519, 1641, 568, 538, 1445, 1247, 519, 4282, 568, 23324, 269, 2201, 519, 824, 1688, 267, 513, 7522, 518, 27934, 630, 331, 24147, 535, 14672, 3784, 264, 4679, 519, 3178, 540, 2361, 267, 5329, 1312, 519, 1641, 543, 519, 4282, 538, 1445, 563, 4692, 517, 12514, 849, 2709, 1585, 15246, 12331, 267, 1519, 9509, 16790, 267, 5800, 11681, 267, 23721, 267, 11846, 267, 543, 13957, 12331, 269, 1452, 12331, 11126, 8254, 5468, 585, 1808, 15246, 7653, 543, 666, 581, 3730, 950, 4358, 856, 610, 538, 3871, 1141, 2656, 11941, 616, 2838, 563, 763, 4598, 13180, 4259, 2636, 3755, 547, 4188, 519, 4598, 547, 1118, 606, 3239, 17321, 610, 18632, 269, 901, 4259, 568, 3226, 5363, 950, 519, 8254, 779, 1558, 1359, 1062, 568, 711, 8308, 13830, 519, 5551, 4598, 269, 898, 666, 581, 14661, 538, 8454, 540, 13515, 267, 3335, 8151, 689, 910, 274, 547, 1341, 274, 13515, 563, 15563, 267, 32588, 12514, 1683, 1896, 3239, 2298, 5468, 267, 971, 607, 31179, 9680, 543, 17241, 310, 269, 31179, 9680, 568, 513, 19316, 3758, 3898, 602, 568, 4443, 547, 6023, 543, 5078, 585, 4948, 10344, 269, 17241, 310, 267, 593, 519, 824, 1688, 267, 19306, 782, 519, 1239, 689, 519, 8254, 779, 9300, 267, 3850, 585, 811, 3573, 2022, 3491, 22422, 11941, 543, 1732, 3239, 2298, 563, 1103, 3932, 267, 13215, 519, 2596, 32588, 8254, 5468, 568, 1898, 585, 21706, 3168, 547, 3986, 741, 1983, 543, 7001, 18198, 2592, 269, 3245, 4598, 12331, 543, 18869, 547, 3043, 3666, 543, 1313, 1993, 1371, 267, 1142, 4259, 4249, 513, 4105, 1909, 538, 2870, 10875, 11147, 269, 4197, 543, 19234, 609, 891, 5468, 786, 1450, 21706, 547, 25793, 1662, 741, 3860, 1761, 543, 7001, 5963, 7415, 8090, 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 ]
[ 23353, 7626, 568, 12699, 538, 2011, 1063, 476, 4335, 9180, 543, 476, 10384, 9180, 547, 4894, 930, 20962, 584, 543, 3819, 519, 7626, 267, 799, 568, 1869, 513, 4396, 1572, 18287, 710, 563, 3519, 1417, 1674, 540, 20957, 281, 634, 7626, 568, 16760, 883, 513, 5386, 8869, 543, 513, 20022, 568, 2813, 538, 1216, 269, 1677, 713, 616, 3773, 267, 11814, 832, 543, 31530, 628, 853, 8494, 9088, 269, 11814, 832, 630, 18090, 11041, 267, 9761, 7408, 3092, 264, 2333, 519, 1875, 2914, 9116, 1464, 540, 519, 4496, 851, 540, 519, 7626, 543, 1450, 621, 547, 1106, 8389, 628, 543, 31530, 628, 853, 8494, 9088, 630, 322, 637, 11169, 267, 606, 559, 710, 3092, 264, 2844, 519, 8389, 628, 563, 15648, 9736, 476, 1708, 273, 910, 2353, 7126, 27616, 0, 13233, 9839, 13600, 543, 853, 27223, 779, 4303, 454, 21938, 476, 1691, 628, 568, 513, 1554, 649, 782, 12314, 609, 2592, 540, 12271, 269, 594, 723, 1419, 9289, 827, 519, 8129, 540, 853, 269, 27223, 779, 4303, 563, 763, 14564, 9976, 513, 21649, 538, 7507, 538, 4571, 6363, 20623, 5324, 1572, 700, 10967, 5632, 807, 910, 621, 729, 513, 678, 924, 14120, 22729, 543, 1072, 543, 1185, 1152, 13581, 4276, 547, 12680, 630, 553, 851, 540, 1072, 264, 543, 9039, 547, 2648, 269, 898, 8209, 2968, 4448, 609, 519, 4947, 540, 11354, 543, 609, 12680, 32537, 4352, 519, 10828, 602, 2367, 543, 2021, 16668, 4408, 689, 513, 20220, 899, 513, 13169, 267, 547, 1118, 15185, 267, 543, 602, 2413, 27223, 779, 6486, 12090, 689, 713, 2688, 267, 3085, 1406, 3100, 547, 723, 1022, 4493, 538, 1249, 269, 1717, 267, 519, 2259, 540, 2367, 5373, 519, 4408, 540, 6690, 693, 4351, 547, 7008, 609, 873, 1705, 22132, 538, 519, 5664, 12698, 543, 729, 10692, 1996, 676, 20577, 15151, 945, 267, 1472, 476, 8182, 271, 267, 8719, 621, 609, 513, 3909, 2688, 540, 6690, 5373, 519, 4408, 540, 19980, 956, 689, 513, 524, 21488, 593, 519, 26749, 910, 1454, 811, 11807, 2336, 26123, 2959, 7866, 602, 972, 941, 1896, 853, 269, 4406, 550, 1149, 945, 5747, 593, 4924, 269, 476, 1691, 269, 5565, 540, 873, 941, 13401, 1282, 519, 12081, 540, 4936, 14890, 19863, 3780, 20096, 639, 538, 476, 29483, 268, 17734, 589, 6185, 1421, 693, 513, 942, 950, 20655, 540, 10271, 729, 1455, 563, 5194, 2442, 19744, 10828, 568, 602, 12142, 27223, 5340, 804, 663, 32347, 4168, 12311, 26204, 585, 7980, 945, 941, 24193, 547, 19533, 269, 634, 4936, 14890, 19863, 3780, 4083, 27581, 17246, 1228, 713, 18468, 602, 9310, 2367, 1705, 711, 1118, 585, 1434, 7980, 563, 763, 1554, 2968, 2404, 609, 11509, 2648, 538, 519, 476, 1691, 628, 543, 476, 1428, 628, 5553, 950, 18765, 540, 5480, 569, 2648, 25577, 838, 13899, 593, 676, 519, 2048, 331, 913, 18346, 685, 540, 2038, 5614, 269, 1809, 1394, 547, 519, 1459, 563, 21938, 568, 2817, 9839, 13600, 269, 898, 568, 2966, 547, 1118, 721, 782, 3222, 540, 2295, 2068, 543, 547, 5000, 721, 547, 1413, 938, 12271, 269, 898, 3746, 2478, 875, 649, 666, 2569, 938, 1981, 540, 3384, 2295, 2068, 5988, 998, 2834, 3635, 267, 513, 7059, 2732, 267, 5464, 1973, 2604, 543, 4509, 513, 2635, 2597, 563, 19865, 568, 1634, 547, 581, 513, 1259, 540, 4227, 519, 1981, 540, 3384, 2295, 2068, 267, 543, 2921, 3635, 1282, 519, 6855, 666, 581, 513, 4161, 269, 1809, 621, 568, 513, 4161, 602, 621, 568, 1271, 547, 13720, 269, 1284, 5892, 11540, 606, 2376, 827, 835, 540, 938, 9164, 945, 568, 513, 11727, 29735, 29303, 14357, 543, 568, 4543, 1004, 538, 1200, 2146, 547, 1205, 3514, 614, 563, 763, 3703, 9839, 7690, 630, 289, 295, 293, 264, 568, 3257, 513, 2518, 1353, 593, 25161, 6197, 799, 896, 32392, 786, 581, 5329, 606, 3750, 593, 538, 519, 2104, 563, 2171, 917, 602, 3635, 568, 1883, 547, 1072, 15508, 543, 9308, 855, 6148, 713, 1223, 723, 606, 1764, 607, 513, 1981, 1110, 8595, 585, 1272, 22059, 23078, 609, 840, 25365, 2295, 2042, 269, 20767, 23358, 6197, 568, 513, 28125, 1282, 519, 27579, 269, 589, 1867, 593, 519, 1353, 2306, 4277, 2542, 563, 763, 1249, 602, 972, 568, 865, 1454, 2923, 3007, 2016, 547, 519, 1072, 540, 938, 12271, 568, 513, 8499, 1434, 543, 2318, 3364, 269, 1703, 568, 1447, 1434, 3377, 267, 2705, 267, 7282, 519, 17799, 547, 2126, 543, 4238, 269, 634, 645, 295, 293, 6257, 519, 5767, 5515, 2048, 19651, 519, 20381, 1764, 540, 519, 6855, 593, 5732, 1272, 9494, 6391, 543, 824, 5773, 585, 2295, 2550, 2507, 19925, 513, 3791, 7864, 2295, 4238, 982, 4397, 941, 5340, 676, 519, 1439, 540, 5437, 476, 1708, 271, 19028, 2791, 666, 1294, 519, 2898, 1867, 1934, 563, 1692, 568, 713, 2469, 547, 1764, 593, 896, 8586, 3664, 540, 23078, 945, 723, 1185, 23361, 16607, 286, 2334, 568, 1945, 602, 568, 2352, 547, 15378, 693, 1459, 563, 3719, 5988, 476, 1691, 628, 568, 513, 4272, 2218, 1554, 543, 865, 621, 568, 1434, 547, 581, 2111, 547, 9206, 909, 930, 2731, 2318, 3377, 269, 769, 476, 1708, 271, 3025, 538, 4789, 2968, 1761, 1418, 22881, 8259, 789, 1904, 856, 540, 519, 10325, 269, 1411, 666, 1224, 827, 2048, 16655, 543, 3223, 4275, 779, 4521, 685, 593, 519, 645, 295, 293, 3896, 563, 2080, 693, 17240, 572, 267, 649, 723, 20926, 543, 3177, 3382, 585, 13003, 2550, 267, 1519, 2295, 1098, 17852, 585, 930, 942, 269, 6270, 3382, 568, 7199, 855, 621, 666, 581, 2944, 543, 4867, 17240, 572, 2882, 13044, 476, 866, 538, 782, 519, 5020, 2667, 4269, 10466, 621, 2488, 563, 4913, 267, 649, 3112, 1683, 5020, 2667, 4269, 538, 782, 6381, 267, 2705, 6452, 1211, 531, 12280, 3382, 666, 1683, 930, 4027, 15029, 596, 979, 998, 519, 1272, 896, 8586, 1184, 563, 2414, 1265, 856, 952, 3382, 949, 581, 2139, 5225, 3346, 721, 593, 912, 16942, 11333, 2593, 610, 1289, 519, 2319, 593, 476, 23713, 3199, 476, 279, 6078, 25396, 269, 0, 18658, 1131, 519, 5836, 2161, 9495, 2334, 568, 519, 2243, 1373, 4280, 676, 513, 2110, 4670, 3812, 676, 2817, 22127, 267, 543, 1936, 730, 676, 2817, 22127, 25817, 2987, 268, 4910, 2064, 6276, 23759, 517, 543, 15050, 2103, 540, 519, 30982, 957, 816, 2098, 4141, 6428, 323, 3570, 563, 763, 4670, 729, 4843, 676, 23759, 517, 543, 555, 2997, 1807, 19137, 7690, 269, 634, 2110, 17157, 1185, 922, 26813, 693, 519, 2136, 8315, 538, 519, 8065, 540, 519, 4937, 13909, 547, 8661, 2622, 744, 10895, 4303, 593, 4873, 476, 279, 628, 607, 851, 540, 5752, 585, 519, 1101, 268, 1197, 2136, 8315, 744, 10895, 10985, 563, 763, 1614, 18826, 1279, 3381, 3091, 513, 2596, 7650, 540, 2042, 6849, 519, 1158, 779, 12084, 267, 1519, 2518, 8337, 267, 5068, 5533, 267, 936, 325, 5109, 267, 5836, 3679, 2305, 267, 543, 811, 269, 769, 1840, 267, 519, 4670, 12857, 513, 1007, 5108, 540, 15628, 2324, 593, 519, 4395, 3515, 547, 2149, 543, 8190, 3618, 779, 1034, 2565, 4199, 563, 16729, 968, 1432, 14348, 519, 7909, 17166, 892, 8072, 338, 26813, 693, 519, 6167, 267, 513, 2034, 10126, 1572, 968, 15411, 681, 10976, 14114, 5155, 25817, 543, 634, 22375, 5741, 892, 513, 1600, 269, 634, 10126, 12286, 5216, 1762, 3401, 5059, 593, 5836, 2762, 267, 2069, 267, 543, 5726, 269, 898, 568, 2404, 609, 2817, 22127, 267, 634, 25817, 779, 11833, 267, 7046, 681, 10976, 267, 7046, 25817, 267, 543, 519, 22375, 5741, 269, 901, 3381, 17157, 5059, 593, 519, 3948, 968, 2252, 711, 803, 267, 1287, 945, 286, 1403, 711, 1631, 267, 1287, 950, 286, 898, 6238, 1934, 269, 898, 6238, 1631, 1848, 267, 799, 729, 5812, 609, 519, 6249, 540, 519, 6167, 7909, 10985, 563, 763, 10126, 12286, 5216, 1762, 3401, 5059, 593, 5836, 2762, 267, 2069, 267, 543, 5726, 269, 898, 568, 2404, 609, 2817, 22127, 282, 519, 10812, 3464, 11833, 267, 7046, 681, 10976, 267, 15411, 25817, 267, 543, 519, 22375, 5741, 269, 898, 729, 10324, 3812, 676, 6276, 23759, 517, 543, 12756, 30247, 267, 543, 729, 1500, 2009, 676, 5698, 689, 20334, 1519, 12844, 7313, 28970, 8605, 687, 543, 12359, 10496, 13196, 540, 4728, 540, 519, 623, 27279, 267, 1851, 1866, 563, 763, 1739, 5238, 849, 6462, 519, 2504, 269, 2598, 928, 2106, 1155, 281, 28418, 670, 1961, 7909, 4919, 26323, 282, 634, 10812, 3464, 11833, 282, 7046, 4629, 309, 14114, 5155, 25817, 282, 634, 22375, 5741, 269, 0, 25897, 29362, 1948, 476, 274, 4281, 267, 476, 275, 5147, 476, 1708, 271, 454, 4002, 476, 3066, 4873, 267, 16287, 3670, 3275, 2094, 519, 1101, 5359, 540, 519, 6855, 267, 519, 10615, 29731, 540, 14959, 538, 513, 2923, 5618, 9307, 602, 519, 2518, 7972, 1813, 547, 519, 6855, 723, 18084, 3368, 513, 2929, 630, 4335, 267, 1822, 1040, 2060, 519, 2698, 1297, 540, 2665, 693, 476, 1556, 267, 4489, 267, 279, 1015, 267, 519, 1699, 13680, 1399, 2066, 519, 1158, 6763, 693, 476, 276, 267, 3066, 267, 14096, 267, 799, 568, 5216, 829, 1298, 540, 519, 2698, 1297, 540, 2665, 269, 27051, 476, 277, 267, 20065, 267, 279, 1626, 616, 4080, 547, 723, 1044, 26809, 610, 16626, 563, 10907, 1484, 519, 1114, 4525, 267, 3345, 3013, 814, 519, 5207, 1297, 540, 2665, 267, 4553, 676, 2342, 267, 5607, 267, 3162, 3013, 267, 4000, 267, 543, 7909, 807, 269, 2342, 5012, 519, 7194, 593, 25096, 2059, 609, 3345, 3013, 267, 543, 3162, 3013, 269, 1452, 2477, 723, 15217, 4080, 936, 476, 272, 267, 876, 267, 1822, 7972, 563, 1432, 568, 519, 4282, 888, 1103, 3670, 3275, 267, 519, 1764, 540, 519, 11452, 607, 513, 6855, 729, 5433, 538, 3592, 782, 2694, 540, 519, 1158, 543, 568, 11173, 547, 11200, 1996, 519, 1739, 4282, 912, 5575, 267, 519, 11615, 2253, 547, 1930, 5103, 606, 2333, 538, 2665, 269, 634, 7330, 267, 6576, 267, 8478, 267, 543, 3127, 616, 519, 1283, 2185, 2477, 609, 519, 5021, 1297, 540, 2665, 267, 543, 2943, 891, 2477, 723, 849, 13175, 547, 8897, 519, 27579, 3800, 610, 2760, 2731, 4553, 513, 27579, 269, 17553, 513, 5906, 7678, 538, 6679, 909, 741, 2804, 32387, 1510, 24609, 532, 519, 7455, 267, 891, 2477, 723, 8329, 547, 519, 8375, 2518, 1297, 540, 2665, 563, 13553, 267, 519, 2789, 6329, 543, 519, 3735, 6329, 269, 634, 1764, 540, 519, 6855, 814, 9867, 538, 1114, 2694, 540, 519, 8608, 19962, 547, 519, 1114, 8515, 540, 519, 3644, 269, 1677, 513, 1804, 6708, 267, 519, 3148, 540, 5607, 543, 4000, 267, 609, 513, 2362, 2551, 543, 1970, 2564, 6791, 267, 723, 9846, 4080, 14758, 2665, 540, 3644, 3379, 547, 2342, 610, 3013, 269, 2368, 4525, 616, 1869, 10010, 547, 2270, 519, 3262, 689, 519, 1101, 5951, 269, 2755, 2477, 899, 3624, 543, 3162, 9705, 723, 4080, 4191, 540, 513, 2034, 5951, 269, 1656, 1287, 267, 1310, 606, 3355, 561, 1638, 267, 972, 568, 513, 3735, 5951, 538, 5824, 3013, 1282, 519, 2487, 4374, 563, 8310, 267, 519, 5821, 547, 5352, 513, 2518, 270, 2958, 1308, 9316, 12512, 269, 9282, 519, 1412, 29514, 1242, 1158, 262, 3366, 547, 519, 3262, 540, 519, 6855, 267, 519, 1949, 602, 616, 11347, 540, 14051, 723, 711, 7307, 547, 3142, 7104, 6127, 547, 4339, 519, 3644, 269, 18831, 15527, 547, 519, 5046, 268, 866, 693, 1367, 19206, 269, 18766, 689, 519, 2518, 1289, 585, 519, 3406, 585, 519, 6669, 267, 519, 1804, 7934, 538, 519, 1967, 543, 14286, 540, 6855, 2359, 814, 849, 12936, 519, 2518, 2333, 538, 519, 2665, 563, 1432, 1281, 621, 1611, 888, 5575, 267, 998, 519, 1101, 3368, 540, 476, 1708, 271, 267, 519, 6855, 814, 4547, 547, 1769, 519, 5571, 14286, 540, 519, 4540, 1949, 543, 519, 29927, 602, 723, 1044, 3056, 519, 3262, 540, 519, 3644, 693, 606, 20437, 2557, 269, 2201, 476, 274, 5147, 4805, 267, 519, 1158, 4080, 476, 273, 267, 6021, 267, 271, 2764, 2665, 269, 901, 6920, 2394, 513, 2518, 4640, 547, 8396, 519, 6855, 15217, 610, 519, 4540, 11528, 13337, 3515, 616, 20460, 1243, 267, 519, 8375, 2338, 786, 581, 2352, 547, 10654, 563, 13553, 267, 2789, 22475, 2066, 519, 8608, 723, 9307, 547, 581, 2324, 593, 519, 1646, 540, 513, 6669, 267, 1082, 538, 519, 3791, 3942, 540, 4152, 269, 1452, 1397, 602, 519, 1739, 4374, 786, 581, 2629, 585, 519, 3262, 267, 519, 32134, 540, 2665, 267, 543, 519, 6669, 1646, 269, 0, 309, 6327, 543, 17030, 540, 519, 5487, 640, 538, 519, 5783, 543, 538, 519, 2622, 454, 8005, 616, 519, 834, 17442 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1294, 952, 596, 616, 6325, 950, 621, 2501, 547, 9878, 707, 12014, 563, 22129, 856, 3156, 454, 28274, 585, 1932, 1082, 1919, 593, 5491, 693, 693, 2899, 666, 2965, 3441, 707, 6060, 563, 22129, 856, 1022, 540, 891, 3156, 547, 1397, 713, 1397, 32225, 602, 596, 616, 1373, 3743, 609, 707, 18083, 547, 1761, 32225, 563, 2690, 2417, 1489, 610, 5796, 593, 707, 18083, 3346, 519, 14559, 31876, 12243, 267, 789, 2709, 6749, 2987, 7886, 267, 476, 272, 3562, 268, 272, 1489, 543, 5049, 593, 5883, 707, 18083, 563, 2791, 666, 849, 1265, 856, 827, 519, 28774, 267, 948, 267, 5796, 543, 1489, 593, 2709, 689, 700, 297, 300, 308, 543, 808, 5960, 308, 593, 938, 8779, 540, 12389, 13398, 269, 0, 763, 1764, 540, 707, 18492, 4783, 593, 5959, 1072, 20809, 476, 736, 267, 476, 1708, 271, 476, 274, 281, 5325, 10681, 454, 2026, 952, 621, 14201, 1406, 4101, 2614, 7231, 609, 9449, 23638, 1472, 707, 18492, 4783, 1107, 1631, 1373, 4775, 3893, 513, 3787, 811, 7294, 256, 634, 1249, 568, 267, 519, 9449, 1377, 2242, 602, 4755, 1472, 707, 1974, 1810, 1406, 1175, 1860, 519, 1259, 596, 1745, 269, 1358, 666, 849, 1860, 707, 5711, 1072, 269, 1717, 1107, 2062, 8705, 2740, 568, 2062, 28534, 269, 898, 779, 1732, 547, 1174, 4010, 1018, 568, 2469, 593, 267, 538, 1931, 547, 948, 2057, 5959, 2042, 610, 547, 1205, 873, 5701, 607, 4166, 607, 2009, 269, 3367, 593, 585, 811, 827, 707, 18492, 4783, 543, 1018, 621, 1797, 585, 519, 2783, 540, 707, 4522, 543, 14779, 563, 1432, 1764, 666, 10399, 723, 888, 295, 768, 2158, 1860, 519, 3761, 540, 1973, 547, 707, 14779, 267, 543, 519, 1259, 707, 1560, 2941, 525, 609, 519, 1628, 5346, 540, 15799, 593, 707, 4522, 1107, 3361, 676, 4948, 4551, 543, 1426, 1033, 761, 639, 538, 707, 5023, 269, 1924, 267, 1022, 2242, 538, 9449, 2157, 666, 2731, 1860, 707, 5711, 1072, 269, 1280, 1383, 267, 2157, 540, 519, 9449, 1322, 6856, 821, 6923, 1205, 2362, 1175, 1354, 707, 1974, 269, 901, 666, 454, 322, 1021, 25017, 543, 11926, 540, 707, 14779, 269, 1411, 666, 849, 1205, 666, 12027, 21399, 630, 810, 637, 3330, 540, 707, 5023, 264, 1282, 707, 1974, 267, 11702, 14779, 267, 543, 22224, 2892, 643, 776, 15374, 269, 9453, 519, 1697, 5959, 9882, 267, 2042, 666, 1831, 8338, 543, 1291, 547, 8628, 3441, 563, 289, 9500, 1852, 2242, 9449, 2157, 676, 31567, 9870, 519, 2157, 540, 21110, 543, 1322, 6856, 821, 269, 1452, 666, 1312, 1118, 14779, 22224, 543, 15319, 1317, 789, 2746, 811, 9244, 547, 15799, 4646, 593, 4522, 269, 14171, 930, 3029, 540, 4332, 1852, 849, 814, 6286, 585, 5959, 6391, 267, 607, 789, 666, 1118, 519, 4960, 540, 2048, 323, 787, 23094, 685, 811, 2693, 26063, 269, 901, 568, 513, 2783, 1141, 513, 1973, 8052, 267, 799, 3029, 6923, 543, 2337, 707, 5023, 12115, 267, 2901, 8813, 856, 610, 14543, 547, 1020, 693, 782, 269, 901, 666, 581, 11213, 543, 568, 9090, 1655, 14284, 256, 1924, 267, 1577, 707, 11290, 917, 952, 596, 616, 593, 1022, 1106, 540, 4332, 1852, 563, 303, 27389, 3599, 568, 1776, 942, 950, 4657, 10399, 723, 513, 2462, 1764, 593, 4522, 543, 14779, 269, 634, 1981, 540, 10733, 2068, 543, 267, 538, 1880, 267, 4049, 10733, 2068, 1634, 607, 1974, 2632, 4345, 267, 3587, 3152, 269, 901, 568, 14356, 1813, 547, 2799, 1973, 2095, 3330, 14779, 1107, 799, 666, 1118, 873, 811, 2693, 547, 1831, 2699, 543, 8886, 730, 269, 769, 1840, 267, 6640, 19210, 666, 2014, 5694, 9178, 1317, 519, 19596, 568, 811, 6534, 547, 3679, 269, 4438, 6379, 267, 621, 568, 811, 1271, 982, 2479, 547, 3251, 538, 5905, 609, 707, 11290, 543, 1118, 2386, 596, 723, 513, 9488, 543, 2834, 5959, 6296, 563, 763, 22797, 1797, 602, 519, 1560, 7472, 1447, 540, 519, 9449, 21110, 269, 1306, 1134, 607, 4929, 2042, 971, 607, 513, 8781, 14815, 610, 1928, 538, 519, 5023, 267, 713, 1689, 538, 9449, 2157, 666, 849, 6175, 519, 2095, 540, 19975, 267, 4929, 513, 2783, 1572, 2048, 323, 787, 5023, 9957, 901, 1797, 519, 5023, 568, 1447, 2111, 547, 2973, 3294, 543, 547, 9243, 1047, 519, 3679, 3812, 676, 15799, 269, 901, 666, 1291, 547, 5694, 9178, 610, 10733, 2068, 269, 634, 1689, 538, 10399, 4547, 827, 1282, 519, 22797, 666, 849, 1860, 5642, 5860, 267, 543, 6318, 519, 1981, 540, 21404, 1107, 513, 2783, 1141, 519, 7633, 1831, 3648, 21260, 269, 901, 666, 1860, 707, 10265, 7633, 543, 707, 4522, 269, 4438, 713, 942, 596, 1058, 1413, 856, 585, 973, 5338, 14779, 267, 799, 666, 581, 513, 10835, 540, 16609, 5642, 2530, 563, 2026, 2479, 267, 8380, 513, 1434, 5959, 9882, 6296, 538, 1747, 568, 519, 1883, 547, 5329, 2042, 2476, 269, 5269, 2386, 596, 11453, 7466, 513, 1554, 585, 1079, 3764, 1142, 942, 267, 19568, 5781, 267, 543, 2057, 24494, 543, 9268, 3536, 602, 666, 2048, 12890, 685, 519, 3983, 4551, 538, 707, 5023, 269, 5272, 3670, 3275, 267, 3643, 707, 1655, 11290, 538, 29903, 693, 3220, 338, 269, 12832, 15614, 1299, 1306, 335, 4741, 267, 543, 1832, 873, 5483, 540, 1022, 2242, 538, 707, 1072, 1107, 1256, 952, 621, 1522, 711, 3100, 4143, 269, 634, 11290, 666, 948, 1832, 707, 5711, 1072, 538, 922, 1655, 1533, 2009, 563, 290, 1538, 528, 2213, 538, 281, 28687, 1538, 528, 1242, 454, 1607, 2022, 729, 2854, 676, 14721, 0, 295, 792, 1346, 20883, 286, 6258, 827, 17906, 9503, 8677, 454, 12441, 596, 917, 602, 20883, 543, 547, 6758, 3112, 2661, 538, 535, 537, 1194, 1216, 286, 1703, 616, 476, 1428, 2249, 540, 20883, 543, 547, 6758, 538, 519, 17906, 9503, 563, 1103, 1142, 2013, 267, 519, 9038, 5186, 517, 547, 4482, 519, 8951, 267, 855, 1142, 2249, 7125, 693, 513, 1114, 942, 540, 519, 1032, 543, 689, 1114, 6753, 269, 1411, 1419, 798, 711, 1294, 873, 1317, 789, 616, 31491, 3042, 547, 11100, 883, 741, 1216, 344, 4025, 267, 855, 596, 6157, 5873, 873, 563, 18794, 519, 29031, 1488, 321, 648, 339, 636, 5980, 3842, 28652, 593, 13628, 267, 2904, 476, 275, 267, 607, 18466, 548, 8805, 534, 529, 267, 2069, 4717, 13541, 693, 519, 2160, 540, 17906, 1488, 321, 648, 339, 636, 267, 543, 2067, 626, 15537, 22118, 645, 2297, 2285, 606, 7650, 540, 20883, 543, 547, 6758, 538, 5101, 17906, 563, 763, 1982, 6238, 693, 476, 278, 533, 6230, 269, 32310, 568, 2838, 547, 4309, 707, 28652, 3095, 543, 519, 10916, 269, 1849, 2216, 3061, 687, 616, 2139, 269, 19193, 693, 8940, 269, 583, 16808, 648, 339, 4548, 1539, 1214, 3820, 563, 2690, 1022, 2055, 610, 14261, 2152, 267, 4757, 18466, 548, 693, 18078, 17106, 11333, 3820, 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 ]
[ 27432, 12917, 345, 264, 24689, 548, 1422, 10339, 8987, 315, 23169, 1422, 10339, 7268, 15883, 347, 343, 347, 4297, 6911, 5976, 692, 7445, 6234, 315, 23169, 7807, 2765, 3189, 29166, 27432, 2410, 273, 4153, 6523, 13375, 7268, 2765, 3189, 15883, 19570, 2410, 273, 4153, 2431, 264, 285, 271, 269, 6911, 1607, 10522, 602, 692, 7445, 6234, 13375, 347, 325, 13375, 3287, 315, 10975, 1775, 21702, 3189, 7032, 2410, 273, 4153, 2431, 264, 326, 18155, 29166, 27432, 4153, 3847, 3287, 315, 10975, 1775, 21702, 3189, 7032, 2410, 273, 4153, 2431, 9385, 2431, 24689, 548, 476, 272, 6911, 1721, 782, 1269, 343, 1422, 514, 1422, 13992, 23334, 20954, 543, 602, 692, 7445, 6234, 347, 325, 18750, 264, 326, 18155, 29166, 27432, 12917, 345, 264, 24689, 548, 1422, 10339, 13375, 10490, 315, 10339, 7268, 10401, 347, 343, 347, 9984, 315, 23169, 315, 10339, 7268, 15883, 347, 343, 347, 9385, 2431, 22491, 1721, 782, 1269, 345, 1422, 514, 1422, 29604, 259, 563, 4131, 721, 1631, 8359, 1269, 305, 285, 271, 259, 1804, 2614, 865, 602, 1269, 305, 285, 1923, 345, 318, 271, 347, 259, 543, 692, 7445, 6234, 1422, 10339, 13375, 10490, 315, 10339, 7268, 10401, 681, 9984, 315, 23169, 315, 10339, 7268, 15883, 681, 9385, 2431, 9385, 548, 476, 272, 269, 6911, 22746, 606, 1269, 305, 259, 6818, 2094, 4399, 15883, 285, 315, 10401, 10608, 2986, 1576, 267, 621, 786, 4096, 593, 4399, 29166, 27432, 10608, 634, 22112, 13551, 4399, 29604, 3709, 305, 4151, 568, 3989, 607, 1657, 269, 634, 1599, 1269, 345, 1422, 14090, 560, 334, 535, 18750, 264, 326, 18155, 29166, 27432, 12917, 345, 7751, 568, 538, 4399, 24837, 346, 295, 32710, 29604, 3709, 305, 348, 9385, 5115, 315, 24837, 346, 290, 32710, 28235, 3189, 29604, 3709, 305, 3686, 7751, 543, 1269, 347, 325, 18750, 264, 326, 18155, 29166, 27432, 12917, 345, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 259, 538, 4399, 14783, 1422, 29604, 3709, 305, 20954, 519, 10465, 540, 4399, 29604, 3709, 305, 23201, 4340, 547, 519, 5021, 6240, 630, 31628, 332, 476, 272, 1070, 2094, 1269, 345, 318, 271, 22174, 1422, 29604, 3709, 305, 20954, 1269, 347, 325, 18750, 318, 271, 264, 326, 18155, 29166, 27432, 12917, 345, 318, 271, 264, 24689, 548, 476, 272, 10608, 901, 2063, 8635, 814, 1044, 9863, 585, 606, 17062, 4399, 29166, 27432, 8961, 543, 1269, 325, 18155, 29166, 27432, 12917, 345, 318, 271, 9385, 1729, 476, 272, 259, 950, 4399, 29166, 27432, 1422, 1729, 476, 271, 8961, 4061, 1269, 347, 325, 18750, 318, 271, 264, 24689, 548, 476, 272, 10608, 901, 2636, 721, 547, 9959, 602, 1269, 347, 325, 18750, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 1422, 514, 1422, 29604, 16859, 4131, 721, 1631, 8263, 602, 972, 6818, 1269, 345, 318, 271, 22174, 1422, 29604, 259, 971, 602, 1269, 347, 325, 18750, 318, 271, 31206, 284, 272, 10608, 2913, 721, 4584, 930, 1269, 305, 285, 271, 259, 971, 602, 1269, 305, 285, 347, 343, 318, 271, 347, 10608, 4635, 938, 3105, 10035, 649, 723, 1269, 345, 318, 271, 22174, 1422, 29604, 3709, 305, 20954, 543, 267, 2094, 1269, 347, 325, 18750, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 22174, 1422, 28235, 3189, 29604, 20954, 649, 723, 538, 1880, 1269, 347, 325, 18750, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 22174, 1422, 14783, 1422, 29604, 318, 305, 10608, 4340, 547, 519, 5021, 6240, 267, 713, 10522, 602, 1269, 325, 259, 568, 513, 3586, 593, 4399, 29604, 3709, 305, 23201, 4595, 4399, 29604, 3709, 305, 4151, 568, 606, 1930, 1305, 538, 4399, 29604, 8961, 519, 6240, 540, 25107, 27402, 6645, 721, 602, 1269, 325, 259, 568, 513, 3586, 593, 4399, 29604, 10608, 901, 20147, 519, 6169, 780, 4131, 721, 4063, 952, 4399, 10401, 315, 613, 476, 272, 8961, 519, 11532, 568, 7301, 267, 607, 3254, 676, 519, 4831, 7721, 2217, 540, 519, 1101, 3296, 269, 634, 1505, 568, 15069, 1360, 8465, 269, 2060, 2370, 1689, 538, 519, 6169, 267, 649, 666, 3489, 2164, 7231, 609, 513, 6389, 602, 568, 22112, 593, 835, 2427, 267, 610, 609, 513, 1599, 602, 25389, 519, 8635, 1152, 585, 930, 2418, 540, 519, 29870, 269, 1677, 581, 811, 8763, 267, 594, 786, 1533, 1079, 2164, 267, 855, 649, 666, 4952, 1454, 811, 269, 769, 519, 1739, 267, 649, 2015, 4399, 29604, 262, 8961, 519, 1930, 3368, 3613, 8692, 3989, 676, 692, 7445, 6234, 1422, 29604, 262, 7807, 346, 345, 22174, 1422, 13992, 346, 290, 4153, 267, 282, 20867, 271, 692, 3682, 6570, 476, 274, 692, 4131, 1269, 325, 259, 581, 513, 1599, 538, 4399, 24837, 346, 295, 32710, 29604, 262, 9385, 5115, 315, 24837, 346, 290, 32710, 28235, 3189, 29604, 262, 348, 7751, 971, 602, 454, 259, 347, 325, 18750, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 1422, 514, 1422, 14783, 1422, 29604, 262, 259, 2676, 663, 1577, 721, 8263, 602, 972, 2291, 1483, 21635, 1269, 288, 259, 543, 4399, 10401, 283, 272, 259, 971, 602, 692, 7445, 6234, 1923, 325, 18750, 264, 24689, 548, 1422, 10339, 10490, 315, 10339, 7268, 10401, 1535, 4297, 6911, 1721, 782, 1269, 345, 1422, 514, 1422, 29604, 262, 10608, 3973, 1269, 347, 325, 18750, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 1422, 514, 1422, 29604, 8961, 543, 267, 952, 972, 6818, 1269, 345, 318, 271, 22174, 1422, 29604, 262, 259, 971, 602, 1269, 347, 325, 18750, 318, 271, 31206, 284, 272, 8961, 1269, 325, 259, 568, 513, 3586, 780, 3682, 6570, 476, 275, 692, 4131, 1269, 325, 259, 581, 513, 1599, 538, 4399, 24837, 346, 295, 32710, 29604, 262, 9385, 5115, 315, 24837, 346, 290, 32710, 28235, 3189, 29604, 262, 348, 7751, 971, 602, 1269, 347, 325, 18750, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 1422, 514, 1422, 14783, 1422, 29604, 262, 8961, 543, 1577, 721, 8263, 602, 972, 2291, 1483, 21635, 1269, 288, 259, 543, 4399, 10401, 283, 272, 8961, 543, 513, 5311, 18159, 305, 5332, 7751, 540, 2318, 2338, 512, 2056, 547, 1269, 10954, 13727, 259, 971, 602, 267, 585, 782, 1269, 333, 1422, 514, 1422, 13992, 346, 301, 4151, 10484, 7445, 6234, 1923, 325, 18750, 264, 24689, 548, 1422, 10339, 10490, 315, 10339, 7268, 10401, 681, 5332, 4297, 6911, 1721, 782, 1269, 345, 1422, 514, 1422, 29604, 262, 259, 971, 602, 1269, 343, 284, 305, 5332, 10608, 3973, 1269, 347, 325, 18750, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 1422, 514, 1422, 29604, 8961, 543, 267, 952, 972, 6818, 1269, 345, 318, 271, 22174, 1422, 29604, 262, 259, 971, 602, 1269, 347, 325, 18750, 318, 271, 31206, 284, 272, 8961, 1269, 325, 259, 568, 513, 3586, 269, 0, 296, 10972, 558, 1948, 4029, 1234, 15479, 633, 27353, 630, 13678, 921, 2020, 8620, 25276, 1599, 535, 799, 7024, 519, 27353, 540, 1875, 24308, 8870, 1775, 267, 7229, 689, 535, 9217, 268, 272, 2020, 319, 325, 9217, 264, 18092, 630, 328, 2652, 476, 271, 264, 7790, 476, 272, 2433, 1775, 2608, 535, 9217, 910, 476, 272, 5148, 319, 454, 319, 10818, 674, 630, 296, 2433, 7849, 264, 2132, 7849, 568, 630, 604, 594, 2999, 476, 273, 1287, 476, 272, 3116, 594, 2608, 674, 630, 296, 910, 476, 272, 4297, 32547, 454, 3499, 12584, 11220, 703, 535, 263, 12584, 11220, 703, 1775, 994, 19127, 8873, 1775, 286, 328, 265, 325, 9217, 268, 272, 2567, 272, 3248, 348, 8199, 3499, 12584, 11220, 703, 535, 263, 5667, 11220, 703, 1775, 3738, 13634, 604, 630, 1775, 2652, 476, 271, 3738, 2132, 476, 272, 16963, 8873, 1775, 2608, 535, 263, 1775, 910, 476, 272, 12467, 348, 8199, 3499, 340, 842, 27353, 263, 514, 579, 842, 562, 264, 6986, 711, 327, 992, 7711, 333, 690, 322, 454, 514, 13634, 16386, 3799, 10922, 476, 1321, 11850, 348, 1560, 13634, 604, 630, 333, 2652, 476, 271, 994, 8873, 476, 272, 3248, 12828, 454, 8873, 562, 2608, 27353, 3799, 910, 476, 272, 11850, 348, 8199, 3499, 3698, 7116, 2544, 5517, 3645, 798, 454, 3698, 540, 263, 271, 1070, 798, 281, 476, 272, 454, 3698, 540, 3799, 264, 950, 562, 3436, 476, 271, 798, 454, 333, 2608, 540, 3799, 268, 272, 994, 754, 454, 754, 8199, 3499, 325, 263, 271, 264, 9847, 476, 272, 3248, 325, 263, 296, 264, 9847, 594, 2608, 535, 263, 296, 910, 476, 272, 1040, 8199, 3499, 325, 15635, 535, 9217, 703, 264, 703, 13634, 604, 1775, 2652, 476, 271, 13634, 8873, 476, 272, 454, 8679, 8873, 1775, 2608, 535, 9217, 268, 272, 994, 348, 8199, 3499, 325, 1775, 815, 952, 1775, 3436, 476, 272, 1287, 535, 630, 328, 268, 272, 264, 2608, 1775, 3116, 476, 272, 454, 8199, 3499, 10818, 535, 3799, 264, 13634, 8873, 562, 283, 273, 7790, 476, 272, 2433, 562, 2608, 535, 3799, 268, 272, 11850, 348, 8199, 3499, 842, 535, 17301, 1775, 264, 19127, 604, 9217, 2525, 271, 994, 8873, 476, 272, 3248, 12828, 454, 8873, 1775, 2608, 535, 9217, 268, 272, 11850, 348, 476, 8199, 3499, 10818, 535, 3799, 994, 29985, 1599, 535, 318, 263, 2399, 3645, 19885, 994, 604, 562, 2999, 476, 273, 1287, 2132, 476, 272, 454, 8873, 535, 318, 263, 2399, 3645, 265, 333, 267, 562, 268, 272, 994, 754, 454, 8873, 535, 318, 263, 272, 19885, 994, 754, 8199, 3499, 10818, 535, 7268, 259, 328, 264, 13634, 604, 7268, 259, 328, 2652, 476, 271, 264, 13634, 8873, 476, 272, 3248, 8679, 12828, 13634, 8873, 630, 15478, 328, 2608, 535, 7268, 259, 328, 268, 272, 4297, 3248, 8679, 348, 8199, 3499, 6943, 454, 9143, 10737, 4504, 815, 476, 271, 907, 16655, 4504, 16963, 10818, 9041, 325, 263, 318, 328, 281, 570, 31339, 4504, 2567, 6715, 518, 3248, 8218, 454, 604, 630, 318, 328, 2999, 476, 273, 264, 1287, 454, 4910, 738, 28701, 476, 272, 454, 12828, 454, 4910, 738, 28701, 9041, 325, 263, 318, 328, 910, 476, 272, 11850, 754, 282, 476, 8199, 3499, 11357, 535, 13634, 3240, 8096, 333, 815, 6521, 3248, 8873, 8096, 333, 283, 273, 7790, 476, 272, 2433, 8096, 333, 2608, 535, 7268, 259, 333, 268, 272, 11850, 348, 8199, 3499, 3698, 535, 9217, 2187, 604, 1775, 2652, 476, 271, 912, 8873, 476, 272, 454, 12828, 912, 8873, 1775, 2608, 535, 9217, 268, 272, 264, 8199, 3499, 325, 815, 25300, 269, 2908, 2715, 1923, 327, 1662, 267, 1775, 347, 19474, 5157, 316, 815, 1775, 2608, 19474, 5157, 910, 272, 316, 7684, 454, 325, 314, 271, 316, 815, 476, 272, 454, 8199, 272, 454, 319, 325, 659, 815, 25300, 269, 2908, 2715, 347, 327, 267, 1775, 347, 554, 5157, 316, 815, 1775, 2608, 554, 5157, 268, 272, 316, 7684, 269, 339, 777, 2715, 347, 327, 347, 554, 314, 271, 316, 815, 476, 272, 7684, 319, 454, 3499, 325, 333, 535, 3799, 281, 579, 3953, 264, 9847, 579, 3953, 13634, 604, 562, 2999, 476, 273, 13634, 272, 454, 348, 3116, 13634, 333, 2608, 535, 3799, 910, 476, 272, 994, 8679, 348, 8199, 3499, 263, 3698, 710, 630, 325, 1775, 994, 263, 604, 630, 285, 1775, 476, 272, 994, 28949, 630, 325, 11196, 1775, 476, 272, 4297, 1775, 994, 272, 4297, 7884, 296, 10972, 558, 2813, 676, 692, 32491, 2719, 268, 21355, 1682, 3820, 0, 346, 314, 5401, 300, 20687, 9948, 10926, 9349, 5658, 621, 692, 346, 314, 5401, 300, 20687, 9948, 10926, 21172, 1449, 272, 5614, 476, 6734, 3070, 692, 258, 476, 21172, 1449, 272, 5614, 476, 6734, 3070, 910, 9501, 305, 5058, 476, 1220, 274, 10790, 292, 476, 21172, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 9915, 305, 5058, 476, 1220, 274, 22957, 667, 312, 2793, 300, 12903, 590, 6579, 23615, 21612, 294, 10790, 292, 476, 21172, 25663, 28513, 9215, 570, 12239, 476, 272, 5990, 12088, 11550, 25770, 300, 630, 320, 264, 630, 476, 1015, 2798, 3738, 8571, 513, 4137, 6029, 519, 1544, 541, 2619, 540, 513, 9325, 267, 621, 779, 2990, 6152, 678, 2073, 519, 10974, 1535, 267, 586, 267, 678, 267, 543, 16564, 2073, 543, 519, 1770, 10321, 1775, 2073, 795, 2073, 562, 678, 2073, 543, 562, 16564, 1547, 4888, 14684, 2207, 281, 630, 321, 264, 630, 476, 1015, 2798, 3738, 8058, 602, 16564, 16564, 562, 562, 815, 678, 543, 1547, 678, 562, 562, 16564, 16564, 910, 815, 3973, 1397, 602, 16564, 16564, 562, 562, 642, 642, 642, 678, 678, 1341, 815, 538, 799, 1547, 543, 16564, 16564, 678, 642, 678, 642, 678, 815, 815, 4888 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11430, 19817, 2940, 267, 799, 513, 1353, 5342, 693, 3624, 6481, 2160, 538, 15990, 6402, 547, 20214, 538, 1312, 2949, 3170, 543, 22765, 18592, 269, 1403, 596, 899, 707, 521, 1023, 320, 25970, 267, 782, 519, 1732, 282, 519, 11503, 24191, 514, 538, 3905, 18717, 267, 899, 795, 531, 1901, 10722, 657, 543, 13863, 582, 956, 267, 666, 5818, 707, 10307, 267, 1932, 563, 293, 3757, 9809, 9820, 281, 829, 323, 516, 12911, 516, 1178, 23579, 14159, 324, 267, 1546, 28852, 281, 645, 879, 577, 325, 9116, 649, 326, 581, 330, 2174, 523, 267, 9929, 340, 17845, 338, 281, 3131, 1457, 645, 1551, 27004, 267, 25385, 320, 10722, 565, 281, 536, 1690, 541, 3288, 3443, 5633, 267, 715, 25005, 4133, 281, 966, 564, 1566, 14247, 1207, 1731, 737, 342, 6359, 10177, 5287, 267, 7969, 334, 281, 26332, 514, 732, 24924, 6182, 27591, 546, 718, 320, 623, 4545, 807, 267, 476, 18809, 24757, 281, 13127, 485, 493, 26406, 487, 420, 480, 504, 31878, 31968, 7511, 420, 369, 502, 420, 480, 487, 267, 2843, 510, 7846, 4736, 4736, 24012, 13953, 281, 15800, 13194, 16648, 3522, 8563, 4138, 31224, 31502, 16068, 4344, 2843, 370, 4138, 13077, 21660, 2843, 370, 4138, 8563, 3378, 16021, 267, 15840, 14505, 12868, 281, 9093, 724, 559, 836, 16988, 19748, 752, 1019, 3131, 583, 267, 17487, 490, 324, 20795, 339, 2088, 281, 32021, 1990, 327, 889, 333, 719, 14255, 536, 385, 503, 328, 20795, 324, 267, 17276, 501, 354, 10951, 361, 420, 359, 508, 281, 476, 7430, 488, 420, 483, 373, 7430, 378, 11210, 493, 11210, 488, 28374, 420, 482, 480, 420, 480, 359, 11210, 496, 9463, 500, 11210, 489, 267, 24291, 28257, 14507, 24220, 18716, 29756, 281, 476, 28519, 28405, 21333, 8294, 14180, 12168, 363, 20901, 15906, 14180, 24291, 24220, 404, 371, 14180, 267, 32172, 18028, 357, 11695, 355, 21005, 281, 7162, 359, 17775, 2633, 509, 21999, 21005, 7162, 504, 18892, 11695, 361, 21005, 7162, 502, 2633, 509, 14098, 363, 17775, 23517, 267, 24226, 482, 6893, 501, 6893, 351, 281, 476, 6893, 354, 6893, 498, 16055, 482, 6893, 480, 6893, 350, 6893, 365, 6893, 503, 6893, 360, 6893, 503, 16055, 487, 32453, 6893, 501, 16055, 487, 6893, 511, 6893, 485, 267, 476, 17432, 506, 422, 369, 511, 424, 500, 368, 281, 14091, 365, 481, 424, 480, 368, 14091, 373, 376, 32629, 498, 14091, 364, 358, 423, 366, 499, 267, 23621, 17554, 379, 978, 22870, 12782, 485, 339, 281, 16902, 17554, 352, 332, 631, 12782, 350, 536, 12782, 354, 978, 267, 570, 14660, 330, 9809, 324, 281, 717, 7238, 31990, 715, 553, 13799, 331, 661, 761, 559, 597, 454, 7312, 3237, 14201, 1406, 737, 27570, 827, 875, 1271, 19787, 616, 585, 513, 2635, 1560, 269, 1548, 789, 4440, 4769, 1406, 2995, 596, 267, 2705, 267, 729, 602, 15165, 532, 593, 19787, 568, 849, 835, 540, 519, 15864, 2081, 547, 8774, 13311, 17987, 3170, 267, 1932, 269, 4340, 547, 513, 1353, 3370, 538, 519, 4750, 540, 519, 9142, 540, 12594, 543, 10791, 7497, 267, 1904, 532, 585, 1875, 3613, 8944, 19787, 267, 899, 28471, 31884, 267, 22282, 267, 543, 29475, 267, 607, 16152, 5280, 14968, 3214, 8774, 476, 1704, 2600, 540, 741, 1471, 30844, 3170, 1247, 5355, 741, 7378, 8417, 936, 513, 2947, 4458, 1974, 269, 6056, 15165, 532, 593, 19787, 786, 4734, 596, 17237, 286, 634, 476, 736, 4107, 674, 3739, 29759, 543, 12098, 326, 625, 786, 723, 707, 17987, 13854, 538, 1100, 942, 563, 5591, 267, 649, 2461, 711, 10213, 596, 602, 596, 991, 513, 6084, 3240, 512, 3089, 630, 24392, 602, 1131, 24609, 707, 17987, 267, 649, 15475, 1040, 13298, 267, 972, 616, 1896, 1455, 1072, 2175, 602, 666, 1118, 707, 17987, 4439, 613, 543, 2394, 596, 4368, 519, 26715, 2152, 18284, 267, 4986, 3116, 666, 24609, 621, 856, 269, 1280, 3236, 267, 1082, 2021, 723, 513, 1019, 770, 529, 529, 6439, 328, 267, 610, 9668, 540, 519, 14159, 6091, 267, 1310, 6379, 269, 769, 827, 476, 1839, 2600, 540, 891, 2021, 267, 519, 6091, 2760, 3833, 2097, 1394, 1927, 267, 3056, 547, 513, 8628, 31732, 4288, 269, 6684, 267, 513, 1200, 11844, 630, 322, 784, 523, 1388, 610, 689, 606, 5945, 264, 666, 849, 2014, 707, 17987, 547, 6529, 856, 269, 5637, 2175, 666, 581, 17251, 4907, 1227, 563, 257, 2691, 649, 2461, 15877, 538, 3207, 267, 938, 1560, 779, 10399, 1205, 16207, 1055, 3666, 799, 666, 1764, 938, 14000, 2157, 519, 1985, 1554, 269, 1284, 782, 723, 1079, 10399, 602, 1860, 938, 14031, 281, 575, 327, 516, 4802, 543, 682, 696, 514, 269, 1879, 649, 1810, 1406, 1205, 2614, 3207, 267, 938, 575, 327, 516, 4802, 2157, 630, 1492, 9449, 602, 2306, 721, 1745, 17237, 264, 4473, 267, 543, 938, 682, 696, 514, 2157, 630, 1492, 9449, 602, 2306, 721, 1745, 2407, 264, 6749, 269, 901, 1797, 602, 950, 649, 2461, 25805, 267, 649, 4043, 547, 3548, 811, 855, 1745, 1447, 13854, 269, 8347, 2469, 547, 5127, 513, 2370, 4505, 982, 8912, 547, 2057, 713, 19261, 543, 3314, 547, 4894, 1022, 19240, 602, 1522, 2061, 596, 689, 12162, 3429, 1055, 1701, 0, 763, 1977, 9435, 5980, 2221, 22485, 519, 5227, 2085, 585, 9584, 2550, 693, 3328, 1981, 585, 519, 2068, 547, 476, 3393, 689, 476, 2004, 1296, 2025, 563, 763, 865, 10777, 20554, 9212, 616, 835, 533, 6162, 602, 3391, 7189, 593, 1018, 547, 798, 1310, 8391, 513, 4719, 1449, 2164, 585, 513, 3461, 563, 763, 2963, 2861, 4808, 585, 4152, 2043, 693, 1981, 540, 24353, 610, 3742, 19505, 3968, 1331, 7840, 593, 31785, 517, 3766, 10397, 5305, 543, 7636, 29508, 563, 763, 1007, 5583, 1223, 4324, 670, 11043, 543, 29157, 267, 1312, 540, 799, 2344, 7636, 1973, 9584, 4255, 17101, 676, 519, 15111, 896, 606, 3329, 1049, 1007, 3075, 1353, 7014, 563, 4913, 267, 519, 4305, 3196, 11074, 2110, 540, 2857, 2056, 519, 946, 540, 595, 860, 340, 731, 610, 824, 7636, 29508, 936, 513, 3099, 540, 1134, 28004, 1875, 2173, 12817, 4152, 2409, 563, 763, 7840, 8507, 689, 1079, 11401, 602, 4547, 1927, 13500, 267, 2978, 4600, 267, 3173, 267, 4719, 24784, 267, 543, 3461, 3885, 689, 519, 2475, 543, 4516, 563, 763, 16252, 7125, 585, 715, 7709, 307, 547, 581, 7620, 6035, 547, 2021, 16363, 693, 1164, 1981, 585, 959, 529, 3912, 476, 2641, 267, 476, 1724, 267, 610, 476, 1240, 1310, 519, 3355, 9584, 1449, 563, 17780, 593, 519, 7840, 540, 606, 4274, 2324, 1895, 267, 22078, 295, 13922, 547, 2253, 679, 13764, 519, 3084, 1382, 20165, 540, 513, 2929, 13538, 1985, 1032, 563, 763, 7840, 2232, 10071, 531, 4681, 689, 1985, 22831, 15971, 4255, 267, 10629, 2069, 267, 607, 1134, 607, 1449, 7939, 543, 32158, 9309, 618, 563, 763, 2963, 2861, 834, 24400, 29216, 569, 257, 10372, 616, 5921, 547, 7520, 6643, 1063, 7189, 543, 2550, 827, 11991, 543, 3653, 995, 7459, 563, 12867, 8204, 3744, 543, 1053, 540, 4457, 16350, 5639, 741, 4145, 827, 2487, 2475, 4507, 543, 20116, 563, 310, 1600, 5359, 602, 3173, 723, 3254, 789, 1223, 1065, 5766, 1090, 513, 5027, 2861, 2780, 563, 12867, 2161, 2799, 4763, 538, 22308, 2090, 786, 4324, 782, 267, 32282, 5240, 295, 712, 5359, 563, 1103, 3163, 713, 3018, 281, 2898, 24932, 727, 15971, 540, 2582, 14203, 2281, 267, 543, 811, 269, 0, 2662, 545, 540, 519, 1739, 6898, 827, 519, 14401, 568, 11234, 888, 272, 269, 1358, 8532, 936, 476, 736, 260, 540, 519, 3404, 17789, 839, 1031, 676, 519, 1560, 693, 1964, 563, 273, 269, 27051, 476, 6344, 271, 6447, 540, 5714, 568, 12974, 3603, 676, 519, 14401, 1142, 1554, 563, 274, 269, 476, 6344, 268, 10219, 16720, 540, 11919, 568, 7142, 883, 519, 17669, 8685, 2737, 1142, 3764, 563, 275, 269, 1358, 17492, 1447, 982, 476, 272, 260, 540, 519, 1560, 2597, 269, 0, 305, 908, 568, 2139, 950, 519, 3381, 814, 1044, 10519, 539, 563, 1607, 4183, 568, 711, 2139, 1318, 1631, 269, 7490, 2119, 1586, 2663, 563, 13775, 593, 9484, 476, 1015, 267, 476, 1001, 272, 454, 290, 5142, 335, 8672, 729, 835, 540, 2947, 8235, 32493, 772, 2529, 269, 5020, 4149, 3058, 6796, 853, 725, 2059, 519, 5032, 1063, 16189, 2358, 543, 6519, 8127, 8672, 269, 898, 568, 4092, 827, 27552, 5195, 7178, 540, 6519, 8127, 8672, 269, 898, 729, 3710, 538, 476, 6942, 276, 543, 2968, 10512, 538, 476, 6942, 277, 607, 5020, 30540, 13749, 7089, 14210, 267, 540, 519, 772, 2529, 269, 5020, 4149, 3058, 6796, 10588, 476, 1015, 630, 527, 729, 2663, 851, 540, 10588, 476, 1556, 264, 1547, 17786, 335, 8672, 15110, 922, 2012, 689, 835, 540, 519, 5020, 30540, 13749, 1832, 619, 267, 606, 4401, 2914, 2683, 10935, 2006, 3957, 18332, 17786, 335, 269, 634, 824, 2185, 5020, 4149, 3058, 853, 725, 941, 21502, 11669, 8672, 630, 852, 21502, 559, 542, 1070, 5565, 9839, 5211, 267, 1546, 518, 5244, 630, 845, 28861, 590, 27462, 5211, 13749, 543, 30073, 718, 21789, 8235, 13749, 264, 543, 9835, 3057, 9820, 563, 290, 5142, 335, 8672, 700, 30224, 729, 1101, 605, 2889, 338, 539, 538, 476, 6245, 277, 543, 1169, 1032, 27502, 2394, 6368, 9516, 538, 4873, 540, 476, 5002, 273, 269, 634, 2244, 729, 12349, 734, 325, 604, 10117, 14143, 734, 520, 513, 3902, 540, 1269, 1789, 269, 876, 269, 634, 632, 539, 729, 18584, 2904, 476, 2641, 267, 476, 5002, 274, 269, 0, 2026, 851, 540, 922, 5614, 2736, 5752, 267, 543, 607, 606, 10137, 540, 3163, 11833, 267, 519, 670, 1046, 518, 1261, 2074, 5398, 7732, 543, 1453, 779, 7172, 4115, 2549, 7701, 12794, 1009, 517, 4547, 513, 1360, 3579, 1982, 547, 1858, 1453, 593, 13723, 12784, 1572, 968, 763, 3163, 540, 808, 1263, 320, 3034, 1607, 1982, 267, 1247, 3450, 2596, 4702, 2035, 267, 1185, 513, 2370, 1945, 585, 1169, 835, 540, 519, 3592, 2185, 18797, 1453, 538, 20343, 563, 22154, 568, 513, 18960, 1982, 2223, 12794, 1009, 517, 1767, 269, 968, 2171, 2911, 513, 2370, 827, 875, 808, 1263, 320, 729, 2813, 267, 1018, 519, 2262, 968, 297, 1263, 320, 892, 1797, 267, 875, 1082, 4773, 621, 814, 267, 543, 2596, 4702, 2035, 971, 607, 3196, 540, 8904, 267, 8159, 4452, 267, 13210, 543, 2178, 13279, 267, 543, 13091, 4229, 267, 543, 649, 3580, 2911, 827, 2326, 1031, 950, 2679, 269, 1656, 1287, 649, 3580, 1404, 2560, 713, 786, 581, 1187, 3034, 295, 320, 1009, 517, 3459, 519, 3992, 609, 513, 2243, 281, 968, 1432, 568, 519, 1034, 2442, 4604, 3014, 538, 519, 1158, 9495, 634, 2626, 568, 3933, 30496, 269, 634, 2034, 1034, 2442, 4604, 3014, 568, 2480, 4599, 1076, 267, 543, 519, 3791, 1034, 2442, 3014, 267, 5001, 267, 568, 808, 1263, 320, 563, 9515, 1287, 5795, 519, 10356, 1453, 930, 808, 1263, 320, 5013, 267, 799, 1131, 581, 519, 4493, 585, 519, 1964, 540, 519, 12784, 779, 3992, 563, 32046, 538, 519, 476, 2735, 271, 338, 267, 808, 1263, 320, 729, 22885, 676, 513, 3703, 4807, 945, 1185, 1044, 4535, 543, 6659, 538, 15057, 282, 519, 2262, 968, 297, 1263, 320, 892, 2965, 1797, 968, 28265, 892, 538, 4210, 1695, 8270, 269, 634, 3014, 814, 476, 7918, 11308, 4773, 799, 616, 30528, 1614, 2066, 543, 476, 1240, 2157, 1164, 267, 543, 7758, 625, 593, 3666, 543, 8904, 563, 295, 320, 1009, 517, 779, 1985, 2243, 267, 968, 8005, 568, 4712, 585, 811, 2257, 9495, 19430, 3163, 11833, 2834, 9253, 534, 773, 570, 329, 23565, 547, 6318, 1200, 1688, 909, 1164, 267, 543, 519, 4702, 2035, 3459, 538, 7118, 652, 563, 295, 320, 1009, 517, 5941, 13907, 2443, 4666, 13907, 630, 1721, 3236, 267, 519, 20832, 543, 3819, 3774, 538, 513, 2679, 1070, 2661, 13907, 630, 1721, 3236, 267, 519, 1004, 538, 513, 2679, 1070, 543, 6422, 13907, 630, 331, 633, 13907, 602, 2049, 609, 1390, 3196, 267, 585, 3236, 267, 24377, 610, 16767, 1916, 10190, 1352, 5941, 13210, 267, 713, 942, 609, 513, 3308, 269, 2701, 1185, 1079, 1453, 689, 519, 5304, 1142, 1449, 513, 1114, 3349, 267, 799, 1185, 1507, 8747, 540, 808, 1263, 320, 1305, 909, 593, 873, 563, 763, 1101, 729, 513, 2864, 678, 1157, 1214, 3556, 3349, 267, 543, 519, 808, 1263, 320, 3014, 8593, 1318, 936, 282, 519, 2034, 729, 513, 811, 7123, 14328, 3349, 267, 543, 1247, 519, 808, 1263, 320, 3014, 18423, 20005, 267, 621, 1869, 530, 984, 16940, 563, 10190, 1352, 11329, 547, 519, 6989, 269, 968, 763, 6989, 568, 519, 1655, 5748, 2223, 1352, 6045, 269, 968, 2005, 779, 519, 18569, 5006, 282, 621 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 667, 267, 661, 321, 267, 661, 267, 674, 267, 674, 258, 267, 717, 543, 2806, 1040, 2986, 1346, 476, 1321, 267, 972, 616, 476, 276, 602, 960, 3226, 1134, 593, 519, 13176, 2433, 595, 267, 589, 267, 717, 2073, 661, 267, 543, 667, 563, 1692, 798, 596, 917, 1018, 1883, 513, 5152, 568, 538, 888, 4263, 519, 1283, 540, 513, 1134, 27787, 5750, 267, 596, 3580, 1294, 513, 1579, 325, 1299, 513, 942, 15040, 267, 543, 538, 1063, 873, 568, 513, 1883, 15040, 9789, 1297, 540, 5857, 1186, 610, 1166, 1846, 2995, 596, 1018, 1883, 519, 5152, 568, 538, 4586, 1432, 1883, 568, 717, 7374, 888, 28082, 16147, 3356, 687, 538, 519, 1883, 540, 717, 454, 347, 296, 268, 10001, 910, 309, 1475, 294, 4211, 5937, 2008, 347, 296, 268, 10001, 1107, 594, 13305, 1475, 294, 4211, 8566, 5937, 2008, 347, 296, 13305, 910, 12858, 268, 10001, 1475, 294, 5937, 268, 2506, 910, 290, 2008, 347, 296, 268, 4512, 1107, 10001, 910, 309, 1475, 294, 268, 2549, 4211, 5937, 2008, 1432, 616, 519, 476, 274, 3119, 22334, 538, 2575, 888, 763, 594, 267, 10001, 267, 543, 966, 22334, 616, 519, 1614, 1034, 1031, 22334, 538, 1142, 2101, 1883, 269, 1325, 3716, 596, 1131, 1289, 873, 267, 968, 763, 835, 267, 2185, 267, 543, 2947, 22334, 1848, 634, 594, 16147, 568, 3710, 593, 519, 1101, 4063, 540, 519, 1883, 269, 634, 10001, 16147, 568, 3710, 593, 519, 8772, 4063, 540, 519, 1883, 563, 3963, 568, 667, 16147, 865, 2182, 888, 763, 667, 16147, 593, 13176, 568, 1360, 2352, 585, 14987, 1317, 596, 723, 547, 946, 1614, 2048, 20889, 685, 11263, 630, 16269, 2461, 711, 536, 684, 3481, 1927, 538, 606, 2653, 610, 11741, 1895, 264, 543, 2034, 569, 596, 1590, 2057, 4730, 476, 273, 12673, 269, 1358, 1611, 968, 18484, 1406, 1404, 713, 5569, 892, 4700, 744, 1276, 269, 901, 835, 779, 9157, 476, 2336, 1692, 1390, 568, 938, 2696, 22334, 888, 1607, 9184, 568, 585, 519, 589, 2101, 4528, 540, 519, 5152, 1496, 19723, 572, 476, 272, 316, 717, 2506, 278, 634, 26672, 528, 540, 519, 3751, 267, 8052, 1117, 538, 14734, 17965, 267, 595, 273, 2913, 782, 519, 3618, 556, 329, 4069, 267, 782, 519, 3618, 556, 329, 4069, 269, 717, 2506, 278, 1261, 12109, 1186, 13924, 1345, 538, 1769, 267, 543, 14334, 13290, 547, 12404, 267, 595, 273, 1656, 1726, 3387, 956, 693, 1010, 5639, 267, 1726, 3387, 956, 693, 1010, 5639, 563, 1432, 1883, 568, 667, 22720, 21781, 888, 28082, 16147, 3356, 687, 538, 519, 1883, 540, 667, 454, 347, 296, 13305, 910, 12858, 268, 10001, 1475, 291, 5025, 5174, 332, 8566, 2008, 347, 296, 268, 4512, 1107, 10001, 910, 309, 1475, 291, 268, 2506, 910, 294, 5025, 2008, 347, 296, 8686, 328, 268, 4512, 13305, 1475, 291, 5174, 332, 268, 2506, 910, 288, 2008, 347, 296, 8686, 328, 268, 10001, 910, 309, 1475, 291, 5174, 332, 8566, 5025, 2008, 7617, 1883, 568, 2362, 595, 610, 717, 888, 1492, 1883, 540, 595, 568, 513, 3501, 8772, 2362, 982, 519, 1883, 540, 717, 2073, 610, 513, 3501, 11359, 2630, 621, 563, 8489, 798, 596, 2322, 519, 1698, 334, 585, 1883, 540, 717, 888, 2690, 1383, 952, 596, 899, 547, 946, 519, 1930, 630, 14140, 2990, 264, 22334, 538, 519, 1883, 540, 717, 2101, 971, 607, 717, 2073, 595, 267, 667, 267, 2506, 543, 2549, 855, 1616, 547, 2206, 513, 5152, 538, 519, 1883, 540, 589, 267, 596, 666, 2322, 513, 1698, 334, 593, 519, 2034, 31361, 543, 1404, 519, 22334, 607, 952, 596, 941, 4730, 538, 519, 1883, 540, 717, 1547, 0, 2005, 1131, 711, 2965, 581, 4636, 547, 2161, 602, 22876, 2858, 1588, 20217, 538, 3592, 1169, 2013, 2348, 547, 2322, 909, 609, 2942, 2360, 540, 22876, 2858, 1588, 799, 538, 2490, 8451, 950, 596, 3111, 547, 798, 1919, 593, 942, 543, 849, 798, 711, 798, 4376, 547, 9585, 707, 3853, 563, 763, 811, 20468, 2460, 547, 7231, 609, 2942, 2360, 540, 22876, 2858, 1588, 568, 602, 789, 666, 3362, 2244, 596, 538, 513, 17339, 602, 19890, 786, 581, 540, 707, 1378, 1818, 543, 799, 786, 1267, 538, 6849, 25680, 4539, 563, 293, 5661, 1677, 9701, 518, 13786, 4850, 454, 291, 571, 21794, 707, 3952, 543, 18656, 3101, 538, 21084, 540, 23072, 543, 1256, 1058, 1359, 9021, 543, 3622, 17528, 547, 2347, 2285, 4247, 3622, 4386, 1317, 540, 4250, 269, 4107, 1004, 602, 22876, 2858, 3729, 1265, 621, 2653, 547, 1577, 1271, 960, 2611, 18106, 543, 616, 8348, 547, 1450, 1919, 547, 13472, 543, 713, 538, 2490, 568, 513, 2386, 1797, 540, 3850, 519, 4473, 540, 2942, 2360, 540, 22876, 2858, 1588, 563, 15987, 513, 2370, 3787, 540, 22876, 2858, 1588, 568, 620, 2431, 543, 11807, 7050, 22876, 2858, 1588, 786, 2285, 4473, 547, 519, 2942, 2360, 540, 22876, 2858, 1588, 602, 540, 1576, 666, 1291, 547, 3978, 2152, 1256, 952, 621, 1152, 3322, 8380, 1055, 5634, 960, 543, 3850, 26050, 547, 13793, 593, 707, 3946, 607, 596, 1491, 942, 547, 32696, 538, 24735, 6927, 1175, 547, 723, 513, 1434, 942, 610, 2972, 3054, 269, 1452, 4652, 31944, 4247, 786, 2285, 4473, 547, 18473, 543, 1256, 17116, 4539, 602, 786, 1287, 1118, 1272, 1360, 17173, 585, 519, 22876, 2858, 13541, 563, 763, 1249, 540, 519, 2339, 568, 602, 3850, 1919, 547, 979, 689, 3983, 547, 8338, 2306, 513, 1268, 1745, 602, 741, 2729, 616, 2965, 646, 8157, 543, 849, 7294, 1498, 538, 4641, 621, 5012, 547, 711, 1152, 2348, 547, 4308, 609, 2942, 2360, 540, 22876, 2858, 1588, 855, 621, 2306, 596, 1413, 693, 1919, 689, 519, 4636, 5133, 563, 15987, 519, 6857, 2247, 1522, 24633, 596, 602, 942, 568, 2110, 596, 1522, 1869, 1450, 596, 547, 1205, 9575, 909, 538, 3257, 5634, 1919, 543, 713, 1797, 602, 519, 3677, 4605, 4991, 23324, 563, 305, 1430, 982, 2347, 1271, 4247, 513, 22876, 2858, 13541, 786, 1265, 942, 547, 798, 1919, 602, 1291, 547, 7680, 2942, 2360, 540, 22876, 2858, 1588, 543, 713, 568, 2938, 950, 3079, 540, 11264, 1271, 960, 519, 1268, 2965, 4422, 856, 10918, 610, 29167, 513, 7260, 610, 3274, 22178, 525, 827, 563, 2005, 6157, 17188, 547, 8495, 543, 1265, 856, 811, 827, 1018, 616, 519, 2360, 540, 22876, 2858, 1588, 269, 634, 10750, 5168, 568, 602, 676, 3257, 1271, 960, 543, 593, 942, 596, 666, 1118, 2352, 4247, 1413, 2653, 1247, 519, 6587, 786, 581, 3020, 952, 596, 1450, 1919, 547, 20847, 543, 1287, 3079, 540, 11264, 1271, 960, 596, 1450, 3054, 547, 581, 521, 573, 25523, 22486, 883, 3257, 24735, 1919, 3056, 547, 2942, 2360, 540, 22876, 2858, 1588, 269, 0, 4572, 1296, 3516, 267, 593, 4873, 476, 1015, 267, 476, 9264, 280, 267, 519, 3084, 2229, 2813, 519, 11572, 543, 13639, 16710, 540, 519, 5689, 9109, 553, 11866, 543, 519, 1520, 329, 659, 4293, 547, 15729, 24125, 538, 519, 9533, 7256, 543, 3957, 30511, 31996, 564, 607, 922, 19524, 563, 7712, 519, 2904, 7169, 540, 476, 8687, 271, 267, 3592, 1079, 5756, 540, 6024, 543, 11636, 6411, 1185, 5293, 538, 519, 3635, 540, 16285, 936, 1346, 11182, 543, 18335, 4956, 547, 2285, 5689, 9109, 553, 543, 922, 10450, 606, 11889, 5943, 862, 839, 23847, 609, 922, 2956, 563, 763, 5137, 676, 31885, 540, 519, 16710, 729, 519, 9266, 12343, 540, 513, 3586, 1646, 4359, 676, 4408, 971, 607, 808, 5282, 623, 5995, 1723, 267, 623, 32631, 589, 2958, 340, 520, 6403, 910, 14140, 14861, 710, 17294, 540, 519, 5689, 9109, 553, 11866, 268, 543, 30511, 31996, 564, 563, 763, 1259, 538, 799, 519, 14861, 710, 16285, 10643, 936, 519, 5689, 9109, 553, 11866, 616, 1759, 972, 568, 540, 5579, 659, 762, 8856, 269, 634, 31885, 20964, 519, 796, 23896, 762, 5053, 16285, 543, 15896, 540, 519, 674, 1779, 1633, 11866, 693, 519, 4266, 540, 519, 14861, 710, 26602, 760, 2218, 3350, 543, 3877, 519, 5053, 16285, 10643, 563, 4415, 2698, 9355, 267, 621, 849, 6920, 602, 18335, 568, 519, 25752, 547, 8050, 936, 519, 2025, 11182, 540, 519, 30647, 518, 5819, 1399, 540, 519, 681, 6403, 334, 632, 3288, 1773, 1092, 543, 602, 621, 16309, 621, 607, 519, 16048, 19988, 540, 519, 11866, 607, 540, 2904, 476, 1839, 267, 476, 8687, 271, 267, 2687, 547, 513, 1134, 28004, 6240, 540, 519, 4139, 1318, 563, 7661, 267, 621, 19528, 519, 968, 9711, 540, 2531, 514, 542, 936, 1767, 11866, 267, 741, 16788, 543, 5032, 338, 5608, 538, 2312, 4704, 547, 519, 19988, 6411, 5645, 856, 676, 519, 6243, 267, 799, 2982, 602, 621, 729, 2907, 538, 15896, 540, 519, 8513, 693, 519, 942, 540, 5137, 269, 540, 519, 16710, 563, 4322, 7440, 267, 689, 3592, 1079, 5553, 3516, 267, 723, 711, 4957, 513, 26893, 2394, 2221, 269, 901, 18327, 519, 4396, 640, 543, 25843, 540, 519, 14861, 710, 2990, 267, 538, 4334, 547, 519, 3703, 835, 267, 799, 547, 17854, 922, 19525, 814, 1044, 7683, 4657, 2394, 2221, 267, 950, 621, 27235, 22587, 547, 519, 9277, 1318, 540, 1582, 24148, 547, 2057, 1022, 19908, 609, 18335, 269, 634, 31885, 540, 476, 9264, 280, 8711, 713, 2962, 540, 519, 2136, 8003, 543, 922, 27621, 762, 3656, 8467, 563, 13295, 267, 2947, 3275, 1310, 519, 5137, 540, 519, 16710, 543, 519, 13393, 540, 30511, 31996, 564, 607, 1101, 19524, 267, 519, 2136, 8003, 2847, 1882, 922, 14460, 3409, 547, 519, 674, 1779, 1633, 11866, 563, 4649, 1296, 1185, 5293, 2094, 519, 10205, 618, 540, 519, 10661, 3710, 1107, 31205, 267, 538, 3983, 5132, 543, 14669, 547, 519, 21308, 540, 519, 942, 1107, 538, 17896, 632, 3288, 12724, 1228, 593, 2558, 514, 21059, 6816, 267, 513, 1507, 6532, 538, 519, 20523, 5689, 341, 2088, 563, 5475, 811, 982, 3368, 513, 2540, 540, 2347, 16563, 538, 519, 3068, 540, 9118, 6411, 540, 16285, 5645, 856, 267, 1101, 676, 8050, 267, 543, 2663, 676, 18335, 267, 519, 3703, 11347, 538, 11370, 523, 657, 589, 2231, 1500, 513, 1517, 730, 267, 3908, 543, 3983, 5132, 13889, 1996, 519, 3084, 31885, 1547, 634, 2229, 540, 11370, 523, 657, 589, 2231, 267, 609, 9983, 267, 17019, 2256, 18967, 540, 519, 4063, 630, 516, 701, 730, 1152, 1614, 1296, 2663, 264, 543, 4797, 609, 922, 19988, 3609, 936, 519, 11866, 563, 3719, 519, 4909, 2956, 540, 519, 31885, 540, 476, 9264, 280, 6013, 538, 922, 2360, 593, 519, 1483, 1646, 540, 519, 11866, 896, 2407, 14861, 710, 16285, 563, 29128, 1287, 267, 519, 674, 1779, 4133, 1185, 2760, 10150, 971, 1480, 1646, 269, 634, 10195, 1185, 267, 2394, 519, 3703, 721, 584, 335, 566, 538, 476, 8146, 274, 267, 513, 7123, 2551, 540, 835, 4627, 543, 513, 3368, 1004, 630, 1575, 547, 476, 4968, 20948, 621, 693, 930, 1448, 1916, 763, 3084, 2229, 8547, 1896, 1609, 534, 857, 553, 543, 1079, 4130, 10034, 269, 2701, 788, 941, 5189, 543, 4540, 12418, 543, 9640, 941, 4824, 269, 2552, 9711, 609, 519, 5065, 2551, 540, 4793, 6782, 807, 543, 570, 20346, 1642, 674, 826, 2998, 941, 23163, 267, 543, 17896, 3752, 539, 611, 2968, 513, 1448, 540, 3665, 2956, 585, 25501, 945, 5293, 689, 519, 9533, 547, 519, 7414, 543, 13030, 17930, 563, 15575, 1652, 616, 519, 6411, 5645, 856, 676, 31996, 564, 607, 19524, 540, 519, 674, 1779, 4133, 269, 898, 4294, 3084, 9086, 593, 519, 5726, 540, 2713, 2200, 267, 4359, 585, 922, 942, 282, 5645, 856, 7803, 18659, 282, 5340, 519, 1101, 3540, 22888, 538, 14861, 710, 8513, 538, 782, 3084, 1686, 282, 9783, 9304, 282, 621, 11292, 2244, 598, 947, 687, 543, 729, 513, 22082, 538, 5009, 1977, 543, 3864, 11776, 267, 1851, 1082, 824, 3527, 563, 763, 1019, 2456, 540, 1010, 7385, 267, 3057, 17144, 590, 5451, 14162, 267, 543, 540, 1010, 7015, 267, 2506, 559, 1470, 267, 7703, 7198, 547, 519, 11812, 540, 3084, 3084, 14812, 676, 519, 2551, 1107, 1256, 540, 1776, 22874, 1107, 543, 2407, 2463, 585, 519, 4031, 540, 519, 6243, 563, 5445, 849, 2285, 606, 2272, 540, 519, 1101, 4332, 10805, 538, 519, 10195, 896, 519, 16285, 540, 513, 3557, 267, 10502, 602, 540, 519, 8250, 540, 30511, 543, 3057, 17144, 267, 945, 729, 4535, 593, 5988, 476, 276, 267, 476, 8146, 271, 543, 16004, 519, 2012, 540, 4223, 32499, 31996, 564, 586, 590, 5451, 14162, 267, 4352, 1352, 729, 1634, 607, 5689, 341, 2088, 31996, 564, 563, 763, 14861, 710, 2229, 1185, 2813, 606, 11889, 16857, 1770, 538, 476, 9264, 280, 602, 3769, 519, 5689, 9109, 553, 267, 570 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28115, 919, 543, 20737, 543, 6309, 3373, 1202, 2033, 616, 2901, 861, 322, 5328, 610, 861, 874, 4106, 545, 538, 741, 588, 26584, 27836, 1734, 269, 3509, 540, 519, 6309, 3373, 1202, 2033, 543, 28115, 919, 1223, 581, 1360, 7494, 28322, 543, 4440, 23174, 676, 930, 540, 519, 1884, 19192, 874, 4106, 545, 14319, 563, 4131, 721, 1491, 909, 930, 540, 519, 2589, 540, 519, 2212, 607, 8915, 538, 519, 861, 874, 4106, 545, 3461, 269, 1452, 14331, 2356, 930, 593, 538, 519, 3781, 543, 616, 3592, 2141, 538, 519, 1394, 540, 519, 2212, 282, 789, 786, 31199, 782, 3781, 267, 1205, 1732, 538, 519, 6640, 267, 1152, 547, 2097, 593, 1586, 693, 3781, 269, 634, 14331, 616, 20585, 267, 5230, 2943, 561, 4545, 3215, 282, 789, 616, 6414, 1836, 3586, 693, 519, 3490, 540, 519, 2634, 593, 835, 2427, 563, 763, 15677, 602, 2097, 593, 9530, 904, 610, 950, 789, 616, 2476, 1106, 741, 8912, 4938, 725, 616, 2356, 27666, 7595, 543, 861, 874, 4106, 545, 10659, 269, 5204, 874, 4106, 545, 14331, 616, 2356, 8338, 14964, 267, 1732, 676, 5163, 267, 8338, 676, 11851, 542, 267, 2901, 2790, 610, 2168, 269, 1358, 616, 2356, 10483, 676, 513, 1390, 4308, 540, 4411, 1145, 540, 519, 1560, 267, 18354, 543, 605, 1598, 566, 269, 1358, 616, 8338, 676, 14246, 610, 3002, 543, 1732, 676, 4411, 3156, 282, 8338, 676, 9602, 1964, 267, 676, 14084, 1524, 693, 3781, 543, 676, 3207, 267, 543, 1732, 676, 9224, 1076, 539, 269, 630, 9616, 519, 23053, 585, 519, 861, 874, 4106, 545, 15677, 607, 1373, 3592, 4010, 6587, 1346, 540, 519, 27666, 7595, 1826, 267, 799, 616, 1732, 676, 1964, 267, 676, 14084, 1524, 267, 1732, 676, 3905, 3498, 282, 519, 27666, 7595, 14331, 2097, 593, 538, 519, 24817, 1247, 519, 861, 874, 4106, 545, 616, 8915, 693, 3781, 8094, 302, 1111, 550, 1307, 519, 861, 874, 4106, 545, 3461, 5360, 1622, 540, 513, 6512, 827, 519, 2212, 267, 799, 568, 4440, 1813, 547, 513, 13581, 2498, 4288, 689, 519, 23971, 7002, 7252, 269, 589, 1126, 609, 891, 861, 874, 4106, 545, 14331, 786, 16004, 1010, 2212, 883, 519, 10788, 578, 610, 5066, 519, 2212, 689, 2427, 547, 2427, 269, 9453, 519, 1884, 19192, 874, 4106, 545, 16185, 891, 14331, 616, 711, 3362, 21443, 762, 547, 2126, 269, 2368, 1004, 29153, 602, 1354, 891, 14331, 789, 1995, 513, 986, 27281, 14000, 282, 891, 19183, 616, 513, 4999, 610, 32411, 543, 27666, 7702, 563, 763, 861, 874, 4106, 545, 16663, 1397, 1082, 2010, 540, 9825, 15282, 267, 855, 2523, 1346, 693, 519, 3490, 540, 519, 2634, 269, 1452, 949, 581, 1459, 849, 538, 519, 861, 322, 5328, 16663, 267, 855, 789, 2523, 19038, 547, 581, 1459, 538, 519, 16321, 4788, 1019, 520, 4185, 267, 519, 4999, 540, 32411, 543, 27666, 7702, 269, 4595, 1312, 32411, 543, 27666, 7702, 723, 6825, 9825, 15282, 267, 519, 9769, 540, 519, 1079, 17613, 713, 2589, 538, 513, 6825, 4110, 563, 763, 10835, 540, 1164, 1973, 2604, 568, 3361, 267, 689, 519, 7293, 1448, 540, 2070, 267, 676, 513, 5394, 2287, 540, 519, 27555, 25151, 610, 606, 4323, 540, 26669, 26578, 25518, 267, 543, 568, 606, 4082, 540, 606, 4890, 1689, 540, 2497, 538, 519, 27555, 1062, 269, 7827, 540, 2497, 1281, 711, 2049, 538, 9296, 6088, 27666, 7702, 267, 855, 950, 519, 27666, 7595, 7988, 322, 6652, 807, 568, 5916, 609, 519, 861, 874, 4106, 545, 267, 7293, 2242, 798, 1491, 1747, 267, 543, 538, 713, 23314, 649, 723, 606, 4082, 540, 519, 4999, 540, 519, 1079, 588, 10176, 1092, 563, 763, 5920, 540, 1004, 7092, 689, 519, 861, 874, 4106, 545, 16663, 1419, 6645, 519, 1650, 693, 513, 16145, 267, 585, 649, 7747, 602, 646, 2212, 568, 1804, 543, 4439, 3101, 267, 519, 4552, 568, 5848, 267, 15441, 344, 267, 6067, 6470, 267, 543, 609, 606, 18086, 5212, 712, 282, 519, 4552, 8813, 856, 538, 536, 31708, 267, 4098, 1101, 593, 519, 14584, 543, 1287, 593, 519, 17633, 269, 634, 4552, 593, 519, 32071, 4900, 543, 22442, 10449, 8813, 267, 543, 519, 4552, 538, 519, 581, 731, 2887, 269, 634, 24827, 538, 519, 581, 731, 616, 1419, 538, 3395, 267, 543, 1139, 23847, 282, 11361, 1004, 1419, 29153, 602, 519, 24827, 538, 519, 22442, 10449, 2736, 543, 2490, 27808, 267, 4929, 1454, 16698, 538, 519, 31792, 10216, 563, 5141, 29141, 6514, 2982, 602, 538, 891, 7494, 23762, 9843, 519, 521, 583, 999, 616, 2571, 282, 519, 13944, 534, 21304, 2611, 1930, 1310, 519, 3339, 942, 540, 14656, 267, 543, 972, 568, 513, 2489, 8652, 21306, 1355, 5920, 540, 519, 2212, 563, 763, 21435, 568, 5848, 538, 2489, 269, 634, 21435, 1086, 335, 2231, 543, 519, 4552, 3587, 6632, 282, 519, 21435, 1086, 335, 2231, 950, 789, 616, 18069, 610, 950, 789, 616, 25805, 269, 634, 26706, 593, 519, 21435, 616, 3592, 2141, 5848, 267, 609, 5394, 5835, 2267, 7370, 267, 689, 896, 799, 5394, 5835, 10669, 522, 334, 8240, 269, 634, 3235, 345, 655, 553, 827, 543, 3297, 519, 10772, 2348, 5394, 9087, 564, 573, 10669, 267, 543, 519, 18015, 827, 519, 1274, 543, 538, 519, 513, 1116, 12324, 267, 616, 513, 21910, 532, 540, 519, 861, 874, 4106, 545, 16663, 593, 547, 519, 27666, 7595, 269, 769, 519, 16321, 4788, 3461, 519, 26706, 593, 519, 21435, 616, 8338, 676, 28876, 563, 763, 4064, 616, 4230, 26584, 267, 543, 713, 861, 874, 4106, 545, 7988, 322, 6652, 807, 814, 22775, 885, 540, 519, 7828, 543, 540, 519, 31894, 267, 543, 782, 18195, 800, 2242, 616, 1644, 547, 713, 16663, 269, 5457, 602, 32411, 632, 13257, 3388, 282, 27666, 7702, 4805, 543, 676, 3294, 2760, 3123, 22775, 885, 267, 855, 538, 519, 4999, 540, 519, 1079, 649, 1265, 1390, 1082, 22775, 885, 563, 308, 331, 1356, 566, 568, 519, 1665, 540, 519, 861, 874, 4106, 545, 269, 1411, 786, 1265, 538, 891, 2550, 22377, 725, 540, 519, 31894, 282, 22377, 725, 540, 519, 561, 1749, 269, 589, 15116, 5114, 540, 891, 2550, 568, 602, 789, 616, 703, 26985, 540, 5841, 1769, 269, 1411, 786, 5873, 873, 2161, 602, 789, 3112, 1224, 610, 960, 676, 5841, 1769, 269, 901, 14687, 609, 519, 1974, 540, 24395, 566, 540, 519, 861, 874, 4106, 545, 544, 14416, 563, 303, 339, 2670, 540, 519, 561, 1749, 543, 519, 513, 8849, 326, 5362, 540, 519, 4064, 543, 519, 2212, 2097, 896, 519, 861, 874, 4106, 545, 1895, 269, 1452, 8849, 326, 5362, 616, 8338, 693, 3781, 543, 8338, 689, 3002, 563, 11514, 12737, 525, 689, 519, 4064, 538, 891, 2175, 616, 3039, 880, 610, 3039, 880, 3917, 3641, 538, 7990, 269, 901, 568, 1459, 849, 538, 861, 322, 5328, 1004, 267, 610, 538, 1004, 609, 16321, 4788, 13542, 269, 21081, 2827, 540, 519, 561, 1749, 267, 607, 1134, 607, 588, 13433, 267, 616, 540, 519, 16321, 4788, 1826, 563, 1103, 9002, 543, 1453, 543, 1762, 1004, 896, 8938, 1296, 540, 2085, 596, 1419, 1265, 1360, 4922, 8920, 730, 10453, 282, 713, 568, 606, 16315, 540, 519, 16321, 4788, 1019, 520, 4185, 563, 1103, 16321, 4788, 569, 20916, 1453, 596, 1265, 7293, 2242, 538, 519, 1274, 269, 18421, 602, 6285, 267, 873, 971, 607, 897, 1091, 610, 15319, 31462, 1846, 610, 1022, 540, 519, 865, 10777, 8650, 3676, 267, 2982, 922, 2078, 547, 519, 588, 26584, 4999, 676, 1139, 15342, 540, 519, 1274, 269, 901, 1139, 4851, 267, 1100, 2339, 875, 11213, 621, 949, 581, 267, 568, 519, 3106, 29705, 557, 540, 1126, 1272, 269, 769, 782, 540, 891, 1274, 19183, 267, 519, 12402, 547, 519, 3781, 24395, 566, 568, 1360, 6825, 282, 789, 786, 581, 782, 1318, 1282, 519, 1554, 267, 855, 689, 3141, 16365, 547, 3141, 5346, 519, 8984, 24395, 566, 2982, 3294, 269, 769, 1169, 21074, 633, 2068, 972, 568, 606, 9311, 2939, 540, 1647, 1274, 8373, 538, 891, 1453, 267, 543, 789, 786, 3136, 713, 1184, 2394, 519, 1884, 2354, 7595, 543, 1884, 19192, 874, 4106, 545, 14319, 723, 2944, 741, 6225, 960, 563, 25802, 1419, 538, 891, 588, 26584, 8374, 540, 519, 1274, 972, 568, 811, 610, 1447, 11166, 267, 543, 865, 1279, 607, 519, 11166, 689, 519, 1274, 5170, 519, 3461, 10607, 538, 2489, 1072, 269, 6884, 713, 11166, 689, 519, 1274, 5170, 519, 3461, 10607, 538, 2489, 1072, 269, 6884, 713, 11166, 689, 519, 1274, 786, 3136, 585, 1296, 267, 543, 519, 1072, 786, 2611, 9425, 1434, 269, 1717, 267, 952, 519, 11166, 568, 26793, 267, 519, 3461, 779, 1072, 23119, 7494, 563, 1103, 5920, 267, 891, 2550, 1020, 1360, 1804, 10772, 269, 634, 27914, 540, 519, 1274, 568, 12779, 267, 3043, 543, 12001, 563, 1103, 519, 861, 874, 4106, 545, 7988, 322, 6652, 807, 519, 2631, 540, 9329, 568, 4503, 267, 543, 519, 9224, 6926, 2644, 1360, 11593, 267, 2523, 950, 972, 568, 519, 28658, 609, 27666, 7702, 267, 538, 519, 840, 2389, 21310, 4788, 3942, 269, 634, 840, 268, 16321, 4788, 1126, 786, 723, 688, 13579, 9071, 1137, 689, 519, 9224, 693, 519, 13581, 652, 1008, 6327, 269, 2311, 519, 1482, 942, 789, 616, 1641, 547, 4049, 14331, 267, 855, 519, 688, 13579, 9071, 1137, 14867, 519, 2212, 2589, 563, 10907, 928, 967, 584, 1092, 540, 519, 9224, 5673, 2390, 519, 9769, 540, 519, 27666, 7595, 543, 519, 861, 874, 4106, 545, 2175, 269, 1635, 1082, 713, 2783, 568, 2808, 7543, 540, 10826, 267, 2943, 609, 519, 1702, 540, 922, 588, 26584, 5169, 621, 949, 581, 6569, 543, 519, 3461, 4547, 547, 513, 1732, 1533, 540, 1072, 563, 3080, 540, 519, 29039, 4191, 540, 519, 861, 874, 4106, 545, 512, 5593, 568, 519, 9552, 540, 5160, 269, 901, 568, 519, 1152, 16663, 538, 799, 519, 7633, 540, 519, 9224, 616, 10032, 269, 5606, 1218, 543, 1453, 945, 723, 968, 338, 333, 4428, 956, 892, 616, 8915, 532, 2901, 519, 861, 874, 4106, 545, 610, 861, 322, 5328, 512, 5593, 269, 634, 861, 874, 4106, 545, 4082, 538, 519, 9224, 568, 676, 1082, 1085, 11274, 543, 2267, 7370, 267, 799, 616, 4158, 3039, 880, 547, 6960, 610, 3109, 269, 1452, 616, 711, 2141, 18086, 538, 5212, 712, 267, 855, 538, 519, 16321, 4788, 1019, 520, 4185, 891, 19183, 723, 519, 5212, 712, 540, 2025, 10381, 267, 543, 972, 568, 513, 5394, 5835, 11166, 519, 12772, 1394, 883, 519, 11563, 563, 1103, 519, 18720, 8611, 1826, 540, 13542, 267, 799, 568, 835, 540, 519, 1034, 13542, 2175, 649, 723, 547, 4308, 609, 267, 649, 723, 607, 513, 3490, 519, 27666, 7595, 267, 519, 861, 874, 4106, 545, 543, 519, 861, 322, 5328, 269, 634, 861, 322, 5328, 3788, 24353, 1282, 519, 3742, 1974, 267, 855, 786, 2097, 856, 2663, 267, 1310, 1697, 2126, 814, 1044, 1128, 21114, 269, 1452, 2665, 616, 2141, 2352, 547, 1521, 267, 543, 1869, 811, 2352, 950, 16796, 610, 6669, 2126, 814, 1044, 2016, 563, 1103, 519, 16321, 4788, 1019, 520, 4185, 267, 972, 616, 4931, 30533, 539, 2699, 9634, 593, 519, 1750, 4060, 540, 4079, 610, 1453, 267, 1354, 1022, 824, 19183, 1397, 2933, 282, 891, 616, 849, 3905, 1166, 16640, 824, 982, 693, 519, 6172, 1461, 545, 1974, 269, 634, 8984, 5920, 540, 519, 861, 874, 4106, 545, 16663, 568, 513, 15454, 880, 267, 6067, 6470, 3068, 269, 1703, 616, 2620, 535, 1170, 999, 267, 2523, 538, 519, 17534, 282, 11926, 543, 522, 539, 9047, 540, 519, 3068, 538, 519, 840, 2389, 21310, 4788, 2550, 267, 538, 519, 6640, 1310, 24971, 543, 1310, 513, 23040, 269, 631, 3421, 949, 581, 513, 23314, 540, 2901, 519, 861, 874, 4106, 545, 610, 861, 322, 5328, 2589, 563, 1103, 519, 905, 951, 540, 519, 16321, 4788, 3461, 519, 3068, 568, 12779, 267, 609, 4931, 30533, 539, 25017, 593, 519, 32336, 321, 2158, 282, 538, 519, 6640, 519, 3068, 568, 7920, 569, 12779, 269, 634, 1453, 609, 607, 1506, 15454, 8188, 543, 519, 5920, 540, 2261, 11047, 639, 616, 10416, 861, 874, 4106, 545, 269, 634, 861, 874, 4106, 545, 16663, 30001, 711, 1152, 519, 8031, 267, 855, 621, 30001, 849, 519, 1379, 540, 519, 1560, 547, 15849, 30968, 519, 1697, 2326, 689, 1426, 269, 2201, 519, 824, 1688, 267, 519, 16321, 4788, 1126, 949, 581, 726, 2794, 267, 609, 513, 3043, 267, 2312, 2960, 543, 1279, 267, 4190, 3623, 5652, 22442, 10449, 269, 769, 891, 1453, 519, 3068, 543, 543, 827, 519, 1394, 540, 519, 8405, 1086, 335, 790, 11884, 563, 1103, 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 ]
[ 5348, 8985, 609, 2539, 5179, 11409, 538, 519, 5887, 1537, 28712, 269, 4107, 540, 873, 786, 3444, 547, 519, 733, 1537, 8632, 2427, 540, 519, 10260, 630, 16129, 519, 18751, 3043, 862, 1170, 675, 264, 1175, 1354, 5348, 2355, 532, 563, 8489, 798, 519, 29416, 2214, 1400, 11103, 5463, 1380, 622, 888, 1306, 519, 29416, 2214, 1400, 8778, 12599, 1524, 519, 2634, 6565, 267, 513, 5354, 540, 922, 11103, 1232, 1380, 622, 547, 519, 733, 1537, 8632, 2427, 1369, 519, 1199, 1638, 320, 1287, 5170, 547, 2951, 1524, 519, 11983, 10260, 547, 1683, 7961, 3569, 547, 519, 30218, 17119, 885, 543, 4887, 2516, 563, 8489, 616, 2539, 5179, 11409, 888, 299, 1077, 16359, 3026, 584, 976, 269, 13722, 30400, 1591, 4703, 616, 4092, 538, 1808, 22140, 538, 519, 2634, 980, 607, 1134, 607, 538, 519, 5887, 1537, 18057, 540, 519, 11983, 10260, 543, 4061, 267, 7567, 5580, 631, 28213, 267, 616, 23928, 1369, 519, 595, 10064, 269, 634, 7415, 8984, 540, 2539, 631, 28213, 568, 741, 4949, 4689, 10137, 543, 4276, 3544, 540, 519, 595, 10064, 563, 1432, 568, 519, 2539, 5179, 22813, 888, 763, 2539, 5179, 22813, 630, 299, 300, 301, 264, 568, 519, 2498, 5166, 22813, 540, 519, 15672, 8401, 1062, 630, 303, 10064, 264, 602, 13462, 519, 3844, 8401, 1062, 630, 290, 10064, 264, 609, 519, 4887, 547, 581, 7961, 969, 730, 563, 6701, 2539, 5179, 11409, 13470, 10537, 888, 763, 13470, 10537, 1062, 568, 513, 1079, 22813, 1062, 9967, 540, 5580, 5179, 11409, 538, 519, 12729, 16359, 23634, 1410, 543, 2539, 5179, 11409, 538, 519, 18751, 18057, 540, 519, 11983, 10260, 269, 3962, 540, 891, 11409, 723, 5393, 1279, 4949, 976, 269, 634, 4949, 976, 540, 519, 29416, 2214, 1400, 8778, 519, 7873, 1619, 547, 1106, 519, 26829, 563, 8489, 616, 2539, 5179, 11409, 4092, 888, 6701, 2539, 5179, 11409, 851, 540, 519, 623, 10064, 888, 8489, 616, 519, 2539, 5179, 11409, 30838, 301, 585, 519, 29416, 2214, 1400, 8778, 338, 4092, 888, 763, 8778, 1287, 1784, 1742, 538, 519, 14694, 1187, 10306, 639, 2059, 519, 3003, 11983, 10260, 267, 5348, 2355, 532, 609, 2034, 19195, 267, 2539, 5179, 11409, 630, 299, 300, 301, 264, 538, 519, 5887, 1537, 18057, 693, 1142, 1377, 540, 519, 11983, 10260, 269, 0, 8489, 1281, 15535, 15196, 323, 4001, 888, 294, 2958, 15196, 323, 1631, 11414, 693, 5975, 3559, 2160, 593, 606, 7755, 9417, 4493, 269, 769, 476, 1960, 273, 15196, 323, 1071, 1922, 15903, 8381, 1633, 22193, 5783, 563, 1432, 568, 519, 1448, 540, 519, 1650, 540, 16763, 888, 763, 1292, 1448, 540, 519, 1433, 540, 16763, 568, 602, 8614, 327, 990, 1695, 2696, 2760, 4255, 721, 538, 3983, 2081, 267, 855, 1261, 1281, 3006, 1450, 3983, 1919, 547, 4755, 585, 513, 2601, 269, 4438, 971, 8062, 649, 723, 519, 4316, 547, 6166, 938, 5132, 538, 519, 2696, 649, 3409, 547, 10847, 267, 610, 649, 666, 798, 1018, 30616, 6499, 721, 547, 798, 1107, 2490, 2476, 689, 938, 29763, 563, 8005, 3361, 16763, 779, 7092, 888, 2691, 602, 8959, 267, 2696, 25009, 30616, 547, 979, 2417, 267, 1256, 547, 2800, 16763, 267, 855, 547, 22302, 1010, 1272, 269, 1924, 267, 30616, 5645, 856, 2696, 779, 5528, 538, 1142, 2013, 267, 855, 621, 729, 2696, 945, 2731, 3361, 713, 1390, 7092, 563, 1432, 729, 16763, 3413, 21719, 609, 888, 25823, 534, 5526, 538, 13140, 1586, 267, 543, 2696, 14828, 1864, 1776, 4960, 547, 1449, 16763, 269, 901, 942, 267, 16763, 568, 3413, 21719, 609, 29695, 2960, 21399, 269, 3571, 7385, 7512, 1864, 547, 31169, 2696, 543, 547, 2285, 909, 543, 5884, 267, 855, 16763, 31439, 267, 10010, 547, 3398, 1010, 6381, 563, 20062, 2969, 11298, 1930, 519, 1235, 3494, 888, 15411, 634, 1143, 568, 519, 5098, 602, 267, 1317, 2696, 14560, 721, 543, 13821, 602, 649, 11884, 3442, 547, 25262, 622, 3571, 2648, 267, 1261, 814, 1500, 3571, 1702, 540, 267, 543, 4566, 585, 267, 519, 2104, 19585, 2390, 938, 3527, 269, 9282, 9631, 23036, 2615, 267, 2696, 1281, 711, 917, 1018, 649, 786, 11884, 798, 538, 519, 2104, 563, 1432, 1614, 1919, 616, 3144, 689, 2816, 888, 1103, 519, 1101, 1614, 18627, 649, 1451, 513, 2603, 827, 519, 812, 3957, 16763, 912, 268, 16763, 729, 513, 1825, 591, 538, 2696, 543, 1185, 513, 2078, 609, 13924, 563, 268, 16763, 729, 513, 14547, 812, 269, 32100, 729, 6027, 676, 519, 2179, 540, 12418, 543, 2244, 513, 812, 1185, 563, 268, 16763, 729, 25552, 269, 1261, 729, 513, 812, 540, 968, 704, 2739, 8699, 892, 630, 18661, 28197, 713, 538, 642, 563, 1432, 2244, 1705, 16763, 2661, 888, 27455, 540, 772, 345, 454, 763, 2244, 540, 772, 345, 630, 3891, 11119, 281, 13913, 494, 402, 370, 29645, 402, 370, 403, 354, 402, 378, 403, 351, 25149, 32679, 403, 354, 1107, 30379, 378, 699, 23973, 268, 390, 379, 385, 359, 23973, 264, 568, 513, 4087, 5018, 538, 519, 6196, 11620, 267, 1034, 30326, 538, 519, 3883, 540, 16763, 267, 799, 5956, 267, 968, 2467, 729, 513, 812, 538, 519, 2244, 540, 772, 345, 267, 4171, 2012, 729, 16763, 9731, 24078, 16763, 513, 682, 704, 888, 295, 2459, 600, 15718, 344, 889, 729, 7620, 1572, 968, 1492, 2274, 704, 779, 24872, 5608, 855, 519, 682, 704, 729, 2663, 4857, 609, 16763, 282, 519, 7404, 5614, 267, 1631, 513, 1216, 6420, 267, 568, 1634, 607, 589, 514, 15718, 889, 267, 968, 297, 984, 779, 11354, 9731, 1432, 568, 22111, 1364, 775, 888, 18661, 568, 19988, 543, 607, 513, 1267, 540, 1010, 19988, 4341, 1765, 515, 1754, 985, 782, 1919, 2687, 547, 1010, 1364, 775, 269, 18564, 875, 6754, 6941, 713, 538, 14564, 476, 1556, 281, 3607, 281, 1280, 689, 1864, 543, 998, 1864, 543, 547, 1864, 616, 782, 1919, 269, 1677, 1864, 581, 18710, 11014, 563, 8005, 3323, 1930, 519, 1143, 888, 4942, 3342, 14279, 540, 4984, 971, 607, 589, 269, 715, 269, 13405, 267, 808, 269, 681, 269, 12359, 553, 267, 8834, 2983, 778, 267, 9400, 4210, 514, 10767, 928, 267, 543, 9400, 623, 4669, 650, 1185, 23647, 7046, 634, 1143, 538, 741, 12591, 1991, 547, 713, 4266, 267, 1498, 711, 896, 602, 2012, 267, 543, 19676, 1185, 3370, 513, 960, 7620, 13886, 634, 7046, 1145, 540, 2696, 538, 476, 2735, 271, 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 ]
[ 1634, 585, 922, 28677, 6149, 8115, 563, 268, 13812, 281, 2755, 711, 513, 7320, 15395, 267, 13642, 19835, 5244, 568, 1753, 547, 1585, 5017, 543, 7320, 267, 1818, 621, 513, 2442, 5544, 585, 6177, 342, 520, 7129, 543, 2470, 12439, 269, 1411, 949, 7237, 25277, 267, 26414, 267, 543, 824, 1507, 2831, 607, 596, 2263, 519, 6288, 563, 268, 30482, 28046, 281, 634, 6288, 2488, 3875, 16351, 3255, 267, 1519, 5026, 4610, 267, 19209, 338, 267, 543, 5624, 585, 17552, 333, 923, 543, 3046, 13069, 1132, 269, 898, 779, 513, 1390, 1747, 585, 1920, 856, 902, 267, 5026, 2238, 267, 543, 1514, 19771, 563, 268, 8535, 19270, 6847, 281, 28210, 693, 519, 2295, 540, 519, 6288, 267, 519, 8535, 19270, 6847, 568, 513, 4190, 1930, 2230, 10023, 519, 4993, 9142, 540, 7070, 543, 519, 632, 8479, 7467, 269, 634, 1858, 1419, 14747, 9205, 30145, 543, 2686, 2621, 563, 268, 3203, 543, 9177, 281, 634, 6288, 568, 1753, 547, 1896, 15882, 543, 2686, 5238, 267, 1519, 519, 632, 8479, 7467, 267, 519, 4993, 9142, 540, 7070, 267, 543, 519, 20271, 2218, 540, 26540, 269, 1452, 28503, 2709, 513, 2039, 540, 1148, 267, 2257, 267, 543, 2686, 15225, 563, 268, 15638, 543, 14080, 11040, 281, 10801, 519, 1032, 267, 13642, 19835, 5244, 14747, 1585, 2621, 543, 15976, 267, 971, 607, 519, 31072, 14924, 8535, 543, 8551, 16635, 267, 10434, 569, 853, 2774, 569, 9791, 24124, 267, 543, 811, 269, 1452, 2621, 2721, 1004, 689, 782, 936, 519, 2197, 585, 2661, 2575, 543, 9913, 563, 268, 29303, 543, 645, 10884, 281, 634, 6288, 779, 3060, 540, 18162, 543, 11444, 568, 3501, 585, 6972, 267, 28185, 3101, 267, 610, 15203, 269, 1411, 666, 2263, 519, 3003, 6288, 593, 3723, 610, 11332, 1247, 2921, 538, 519, 5898, 540, 922, 3309, 8916, 563, 268, 13458, 995, 4825, 805, 281, 15332, 922, 16351, 543, 2686, 18845, 267, 13642, 19835, 5244, 568, 513, 1747, 585, 9602, 31658, 543, 11005, 269, 898, 3091, 3875, 22471, 559, 9634, 267, 689, 519, 9956, 12567, 547, 519, 4414, 6229, 717, 17311, 267, 1141, 596, 666, 9101, 519, 2749, 779, 554, 755, 548, 543, 11861, 548, 563, 20112, 523, 19835, 5244, 568, 513, 2067, 543, 2686, 17576, 538, 5842, 12770, 267, 5356, 1945, 585, 3025, 267, 689, 1346, 5275, 9205, 7045, 547, 1346, 3168, 585, 513, 12560, 18956, 538, 519, 2295, 540, 519, 2749, 269, 0, 1432, 616, 519, 2489, 4162, 540, 838, 5535, 5017, 286, 6176, 827, 838, 5535, 2010, 267, 6609, 267, 8023, 543, 2713, 7226, 540, 838, 541, 4900, 563, 9915, 2752, 4629, 310, 267, 1022, 540, 1079, 1804, 2516, 540, 1507, 5152, 18346, 602, 2661, 6140, 593, 610, 2282, 519, 2666, 543, 616, 1336, 2429, 1034, 540, 519, 22465, 4525, 540, 519, 1158, 269, 590, 1706, 4900, 616, 2356, 827, 476, 276, 547, 476, 279, 6279, 630, 1724, 268, 736, 4699, 264, 1279, 543, 15866, 6960, 880, 543, 1792, 8898, 269, 1358, 3006, 723, 15649, 540, 9221, 18133, 267, 3109, 267, 610, 5835, 269, 1358, 723, 598, 673, 12014, 9862, 585, 4189, 5452, 563, 289, 8674, 540, 1079, 1360, 3982, 3885, 616, 11821, 896, 519, 2012, 968, 338, 1706, 992, 1848, 2290, 1895, 267, 5065, 547, 519, 6196, 2622, 267, 616, 649, 11232, 1710, 2583, 540, 519, 1920, 1773, 334, 576, 13160, 269, 634, 24819, 2296, 267, 610, 2777, 267, 838, 5535, 543, 922, 14077, 4866, 547, 713, 1920, 269, 634, 824, 1895, 267, 5065, 547, 1312, 519, 6196, 543, 1715, 2622, 338, 267, 1118, 909, 519, 1710, 577, 1016, 26967, 2506, 828, 714, 2088, 324, 269, 634, 2489, 11696, 28917, 540, 519, 3345, 1977, 13222, 540, 519, 2506, 828, 714, 2088, 324, 3366, 519, 2038, 3864, 13896, 538, 3345, 3013, 547, 1289, 873, 838, 541, 4900, 563, 763, 968, 25152, 892, 838, 541, 4900, 616, 5065, 547, 2342, 267, 5607, 267, 543, 4000, 269, 634, 6093, 2818, 4866, 547, 519, 12593, 10426, 518, 267, 540, 799, 972, 616, 827, 476, 1321, 2249, 269, 1358, 2356, 1628, 513, 2864, 2150, 573, 344, 267, 5895, 983, 9566, 267, 9112, 540, 6371, 610, 12450, 267, 538, 513, 3529, 267, 17382, 267, 610, 11903, 269, 1879, 2713, 1472, 8075, 610, 538, 22586, 2197, 267, 789, 949, 8806, 8631, 513, 13570, 609, 519, 21224, 1570, 563, 763, 2777, 838, 5535, 630, 27879, 518, 6469, 639, 264, 568, 513, 6093, 4759, 540, 519, 12593, 269, 901, 15483, 344, 2370, 6177, 2729, 6707, 538, 519, 3552, 267, 855, 4667, 547, 4782, 519, 8378, 540, 812, 267, 543, 814, 1044, 1098, 680, 5896, 2429, 519, 22465, 4525, 540, 519, 1158, 269, 898, 729, 5189, 538, 3345, 3013, 693, 27201, 267, 715, 269, 962, 1421, 538, 476, 6977, 271, 543, 476, 6977, 273, 547, 8396, 519, 666, 12027, 19095, 602, 1185, 1831, 10860, 538, 12094, 4054, 269, 1280, 930, 1296, 519, 2777, 838, 5535, 729, 16876, 7361, 547, 519, 4872, 540, 519, 9533, 5032, 267, 855, 676, 476, 5002, 271, 621, 1185, 22983, 519, 2898, 11782, 267, 519, 3312, 1906, 8536, 2348, 2799, 547, 6634, 269, 769, 519, 2777, 838, 5535, 267, 519, 12457, 880, 6960, 4775, 568, 1454, 20585, 518, 982, 519, 5256, 267, 799, 568, 9221, 18133, 593, 519, 562, 1901, 543, 814, 513, 3109, 536, 756, 563, 5194, 6093, 4759, 540, 713, 12593, 568, 519, 3529, 838, 5535, 630, 303, 269, 1395, 11927, 639, 1070, 799, 568, 1572, 3864, 3529, 838, 5535, 538, 3013, 547, 10646, 621, 689, 519, 20775, 5065, 3529, 838, 5535, 630, 8967, 714, 7578, 818, 321, 648, 320, 1040, 623, 269, 1395, 11927, 639, 568, 5065, 547, 2342, 543, 5607, 267, 1141, 621, 14981, 30109, 538, 29990, 4525, 267, 855, 621, 1932, 729, 5189, 538, 3345, 3013, 267, 543, 14981, 538, 5884, 25610, 540, 853, 269, 8402, 267, 7720, 269, 769, 519, 3864, 3529, 838, 5535, 267, 519, 28486, 616, 7567, 267, 609, 513, 6505, 9221, 18133, 13862, 267, 513, 3109, 536, 756, 267, 543, 513, 17736, 545, 6681, 3109, 5544, 593, 519, 3043, 32336, 3297, 519, 3750, 563, 4322, 616, 513, 1454, 3677, 1895, 982, 519, 838, 541, 4900, 540, 519, 12593, 10426, 518, 543, 1331, 930, 5702, 1644, 2516, 267, 971, 607, 519, 6287, 515, 525, 543, 15118, 6523, 267, 538, 799, 519, 4806, 540, 519, 20034, 720, 568, 711, 1792, 8898, 610, 838, 5535, 3697, 269, 1977, 838, 541, 4900, 616, 5702, 1644, 547, 519, 1207, 660, 902, 540, 519, 6196, 2622, 543, 616, 538, 519, 1482, 1920, 563, 763, 6093, 1977, 838, 5535, 568, 519, 5152, 838, 5535, 630, 27839, 2214, 21289, 5283, 17377, 1070, 799, 14981, 12303, 2429, 3345, 3013, 267, 1419, 21224, 2282, 8075, 269, 898, 9775, 10169, 538, 32442, 689, 3148, 547, 3148, 267, 855, 2356, 814, 5230, 6960, 1792, 6545, 543, 513, 1804, 5544, 593, 519, 6089, 269, 589, 6177, 540, 1490, 639, 1506, 3382, 543, 19211, 267, 621, 568, 513, 10770, 22256, 267, 609, 513, 9867, 5152, 602, 2356, 6238, 609, 1614, 9838, 4967, 269, 634, 5152, 568, 9447, 689, 606, 11506, 829, 577, 543, 568, 835, 540, 519, 1101, 4862, 538, 519, 5614, 269, 4634, 1282, 519, 5162, 519, 5152, 838, 5535, 568, 4862, 538, 5618, 2879, 520, 2583, 540, 5152, 593, 13566, 2395, 563, 8448, 1134, 8153, 1977, 838, 541, 4900, 616, 519, 3043, 6253, 549, 730, 838, 5535, 630, 313, 517, 582, 5341, 807, 11549, 545, 3326, 529, 1070, 1336, 538, 519, 9456, 2136, 2276, 543, 7178, 547, 29131, 543, 23497, 267, 543, 922, 2673, 3448, 519, 3043, 2275, 27547, 838, 5535, 630, 313, 269, 682, 1075, 2684, 686, 329, 338, 1070, 799, 14981, 538, 519, 7262, 2136, 2276, 543, 538, 27040, 4516, 269, 1452, 1079, 1804, 5017, 723, 513, 1360, 24886, 4806, 540, 12457, 543, 6960, 267, 513, 3109, 13862, 17736, 545, 28204, 1792, 8898, 609, 6777, 3043, 267, 543, 513, 4190, 27674, 633, 5152, 269, 634, 3043, 6253, 549, 730, 838, 5535, 15320, 689, 519, 3043, 2275, 27547, 538, 2348, 513, 4158, 3915, 267, 513, 3043, 11563, 267, 543, 513, 5835, 5544, 538, 4395, 540, 519, 3750, 563, 10521, 4130, 543, 1360, 546, 664, 1399, 2249, 267, 1336, 30109, 538, 519, 9456, 2136, 2276, 267, 616, 519, 669, 6235, 838, 5535, 630, 8967, 714, 7578, 1780, 518, 2088, 264, 543, 519, 2361, 838, 5535, 630, 306, 269, 10669, 8759, 1040, 5637, 2249, 723, 513, 9221, 18133, 13862, 855, 8428, 538, 519, 2681, 540, 519, 3915, 267, 799, 568, 6505, 11909, 538, 519, 2361, 838, 5535, 543, 3109, 880, 538, 519, 669, 6235, 838, 5535, 269, 634, 8545, 2588, 1562, 513, 27865, 517, 748, 3126, 540, 2110, 267, 3819, 4967, 7368, 865, 6385, 607, 547, 581, 3592, 513, 959, 650, 269, 1809, 519, 5152, 540, 519, 2361, 838, 5535, 568, 5310, 519, 1034, 4190, 540, 782, 519, 1977, 838, 541, 4900, 267, 9967, 540, 513, 1279, 3126, 540, 2312, 267, 10398, 532, 4967, 602, 4473, 543, 2887, 543, 28201, 856, 7930, 563, 8448, 1271, 1977, 838, 541, 4900, 616, 519, 15798, 728, 838, 5535, 630, 8649, 4380, 21289, 2261, 527, 9874, 1070, 513, 1951, 321, 267, 12457, 6177, 540, 519, 6070, 23047, 1127, 540, 519, 9533, 5032, 282, 519, 9390, 838, 5535, 630, 8649, 874, 7371, 21289, 21536, 710, 1092, 264, 540, 519, 7262, 24301, 267, 799, 568, 13417, 516, 8898, 543, 4174, 330, 5944, 6825, 609, 513, 3109, 11563, 543, 2312, 6089, 282, 543, 519, 7187, 4104, 16541, 838, 5535, 630, 303, 21692, 20255, 476, 8270, 20403, 1070, 519, 4102, 540, 782, 1977, 838, 541, 4900, 267, 609, 513, 1286, 565, 532, 5152, 540, 5283, 617, 1190, 4967, 269, 2353, 519, 1977, 838, 541, 4900, 1628, 606, 1930, 7484, 9566, 540, 6371, 267, 21263, 267, 5072, 267, 610, 3762, 267, 543, 2482, 2185, 610, 2947, 5798, 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 ]
[ 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, 273, 269, 273, 634, 21478, 540, 20484, 11518, 619, 593, 519, 4518, 540, 23415, 20198, 267, 25599, 11089, 267, 543, 23720, 692, 1103, 713, 3296, 267, 649, 786, 2263, 519, 7096, 1764, 602, 10564, 20484, 11518, 619, 1185, 593, 519, 960, 540, 3627, 23415, 20198, 267, 3798, 25599, 11089, 267, 543, 9478, 23720, 269, 9282, 891, 2185, 5515, 949, 711, 7620, 3100, 4448, 267, 789, 941, 782, 851, 540, 513, 7524, 7499, 2146, 593, 519, 8053, 699, 344, 18686, 1282, 519, 2038, 14206, 2540, 269, 8625, 267, 789, 2919, 513, 2189, 11100, 540, 2257, 267, 3332, 267, 543, 6138, 602, 5170, 547, 8300, 5159, 543, 17024, 2221, 780, 21659, 8657, 11518, 619, 630, 6642, 278, 268, 3422, 273, 264, 729, 606, 1977, 10564, 945, 6591, 21239, 538, 519, 476, 4572, 271, 338, 585, 1010, 22880, 267, 796, 4148, 514, 4221, 26007, 540, 519, 2067, 1158, 543, 1480, 2470, 269, 3571, 6965, 1419, 12286, 12667, 11673, 540, 519, 27726, 4993, 23795, 267, 607, 1134, 607, 1199, 14591, 593, 4798, 971, 607, 2648, 267, 2669, 267, 543, 519, 7814, 673, 2470, 540, 942, 269, 3509, 540, 1010, 9954, 849, 8659, 2178, 2825, 626, 6835, 267, 28409, 3988, 547, 2463, 543, 2149, 519, 2067, 1158, 780, 3080, 540, 519, 1034, 1713, 2081, 602, 11518, 619, 6766, 23415, 20198, 267, 25599, 11089, 267, 543, 23720, 729, 998, 1010, 8561, 593, 519, 25872, 540, 782, 1919, 269, 901, 2856, 267, 799, 11518, 619, 5219, 547, 607, 834, 1492, 9322, 540, 782, 1919, 2437, 666, 581, 2938, 2429, 1010, 6965, 269, 1280, 1383, 267, 538, 1010, 6648, 834, 763, 8382, 2437, 646, 11339, 1384, 18204, 31772, 568, 627, 565, 8864, 267, 519, 6574, 5898, 568, 454, 16391, 545, 627, 565, 8864, 267, 519, 627, 565, 8864, 540, 1272, 543, 1919, 267, 519, 10143, 5898, 540, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 16631, 2725, 1115, 9085, 593, 519, 8053, 699, 344, 18686, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 273, 269, 634, 23415, 20198, 7304, 1157, 11089, 4211, 2086, 10428, 4276, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 273, 269, 272, 269, 634, 5870, 540, 3627, 543, 8349, 23415, 20198, 267, 3798, 25599, 11089, 267, 543, 9478, 23720, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 273, 269, 273, 269, 634, 3310, 540, 20484, 11518, 619, 593, 741, 960, 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, 6092, 5149, 281, 634, 476, 4343, 628, 23155, 27079, 18366, 910, 589, 6206, 28850, 538, 519, 11114, 2782, 692, 8702, 267, 1762, 12206, 256, 4653, 267, 596, 786, 1451, 827, 606, 1271, 2680, 1282, 519, 12019, 2782, 1572, 519, 11114, 2782, 269, 901, 2112, 729, 10692, 1063, 1079, 2477, 1107, 3345, 9705, 630, 26625, 9285, 676, 3624, 543, 519, 8168, 5742, 264, 543, 3162, 9705, 630, 26625, 9285, 676, 519, 2136, 8315, 543, 3366, 676, 519, 2136, 2276, 1040, 2913, 781, 4685, 883, 713, 4241, 1974, 540, 1686, 1927, 2439, 5575, 267, 1577, 781, 1174, 1141, 713, 4655, 3576, 1747, 269, 5994, 5373, 513, 1899, 2066, 513, 4786, 267, 12270, 9705, 883, 1079, 30556, 269, 2334, 16494, 1899, 568, 1018, 1004, 1289, 519, 476, 4343, 628, 6252, 269, 898, 2968, 513, 8473, 1310, 2622, 2782, 4083, 950, 9705, 729, 8237, 883, 1079, 5094, 6082, 1813, 547, 2797, 3604, 1063, 519, 5087, 543, 5045, 269, 3345, 9705, 7550, 25399, 1247, 3162, 9705, 17947, 9111, 269, 4004, 1143, 11099, 602, 3025, 538, 2486, 1058, 723, 3160, 5763, 267, 543, 972, 12582, 1405, 581, 4357, 3959, 269, 22640, 2636, 4961, 547, 8917, 585, 741, 3401, 543, 14014, 1367, 2924, 899, 26539, 2123, 28378, 780, 3086, 267, 4952, 1373, 5143, 602, 596, 666, 1100, 3476, 2661, 609, 707, 1920, 2818, 1175, 1317, 789, 5030, 593, 519, 824, 2427, 540, 602, 15865, 1899, 269, 19198, 941, 14324, 6306, 267, 8572, 547, 1294, 1142, 824, 1586, 269, 4658, 945, 1031, 547, 2671, 5389, 267, 1426, 267, 543, 2984, 10393, 1336, 2933, 2713, 538, 4625, 1114, 10600, 269, 901, 6498, 2813, 8082, 543, 5134, 6412, 1851, 6401, 753, 799, 5555, 3366, 547, 513, 15265, 2112, 780, 763, 11114, 2782, 13166, 3323, 593, 4873, 476, 1839, 267, 476, 4198, 271, 267, 950, 3345, 9705, 22983, 3162, 9705, 267, 15385, 519, 476, 4343, 628, 6252, 8473, 269, 4256, 3804, 286, 1677, 796, 1518, 9705, 896, 21340, 4341, 269, 1809, 1082, 3162, 6401, 753, 4769, 1405, 1616, 547, 1246, 25399, 282, 789, 4941, 547, 1832, 741, 11180, 1259, 540, 1272, 269, 1306, 513, 1267, 267, 5518, 16452, 590, 269, 32457, 4956, 602, 3013, 1131, 948, 9718, 3162, 9705, 1996, 922, 7187, 26490, 528, 269, 1261, 4280, 519, 9241, 4646, 2136, 8315, 952, 789, 1131, 6443, 1864, 269, 3509, 6167, 4759, 2477, 8815, 267, 11488, 10136, 543, 7727, 547, 5351, 3162, 9705, 780, 7628, 891, 2053, 267, 1776, 3532, 6205, 3957, 9478, 23237, 12199, 936, 519, 8168, 5742, 269, 1261, 6462, 3345, 9705, 267, 15691, 547, 3262, 25399, 2429, 5607, 269, 11531, 267, 4457, 6205, 31474, 2098, 539, 784, 849, 20483, 3345, 9705, 267, 4250, 532, 602, 2475, 4229, 1522, 1205, 1932, 2673, 547, 3624, 781, 10665, 269, 1924, 267, 1256, 1498, 519, 1292, 4339, 8604, 547, 4755, 1152, 1063, 3345, 543, 3162, 9705, 267, 713, 2112, 2965, 3238, 1896, 2101, 7060, 780, 3080, 1713, 4090, 1282, 519, 11114, 2782, 3357, 1318, 693, 922, 4098, 269, 4937, 19958, 5839, 6635, 11037, 267, 3056, 519, 6167, 4229, 267, 9709, 513, 29412, 1847, 1634, 607, 519, 769, 577, 517, 8092, 532, 269, 5502, 540, 22215, 2786, 689, 519, 4395, 6050, 2282, 519, 476, 274, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 604, 1399, 3967, 340, 2456, 3516, 267, 896, 513, 23080, 573, 3141, 543, 8015, 15280, 12798, 267, 3627, 674, 269, 17394, 2220, 648, 519, 522, 987, 602, 1169, 7022, 1185, 3144, 2094, 476, 9965, 280, 543, 1287, 9447, 835, 540, 519, 1034, 12300, 22305, 1116, 9607, 538, 519, 1977, 17374, 269, 968, 2171, 7747, 2221, 711, 513, 11802, 540, 5428, 855, 513, 11812, 540, 5191, 2223, 519, 476, 3374, 628, 7022, 3459, 269, 2991, 15663, 602, 968, 1492, 1158, 568, 1360, 1114, 1631, 892, 689, 519, 1158, 540, 519, 13368, 619, 1317, 968, 2006, 6585, 538, 1010, 6180, 531, 3946, 519, 1379, 547, 13373, 880, 782, 3029, 540, 1480, 6710, 543, 782, 3029, 540, 1480, 1272, 2223, 646, 9307, 602, 968, 1492, 23290, 814, 1044, 5293, 547, 513, 1007, 5108, 540, 4892, 892, 543, 1500, 519, 32410, 602, 814, 16079, 539, 2479, 2094, 281, 968, 4131, 1169, 4182, 917, 267, 2436, 621, 16858, 721, 1134, 610, 2192, 267, 602, 649, 4927, 2628, 1022, 3902, 267, 7703, 1022, 11411, 267, 2743, 1022, 27465, 267, 1489, 1022, 3659, 267, 28586, 1022, 535, 4141, 547, 26924, 519, 6668, 543, 1967, 540, 15698, 3034, 5475, 1167, 2293, 532, 593, 519, 2591, 540, 16701, 21899, 14000, 543, 2068, 543, 519, 13766, 540, 2518, 9316, 538, 519, 2014, 540, 4708, 267, 646, 10294, 512, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4343, 628, 23155, 27079, 18366, 257, 607, 851, 540, 834, 19615, 1315, 12668, 1299, 4762, 26555, 1315, 11114, 2782, 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, 277, 281, 29923, 10222, 6874, 760, 26943, 2435, 5548, 2074, 281, 589, 18043, 6651, 547, 19369, 267, 18181, 9828, 267, 543, 3057, 514, 3547, 692, 296, 269, 4985, 692, 31590, 2389, 760, 267, 849, 1634, 607, 13244, 12756, 2848, 752, 267, 568, 513, 11684, 543, 29316, 2759, 540, 5779, 6508, 689, 519, 5377, 27205, 5979, 514, 2215, 531, 3296, 540, 14132, 12418, 269, 901, 2189, 21083, 4887, 6799, 11477, 5159, 609, 606, 5140, 4316, 547, 1711, 632, 937, 762, 6980, 6353, 676, 741, 3638, 6492, 543, 17598, 9403, 269, 769, 713, 3184, 267, 938, 1445, 562, 541, 4900, 1524, 547, 3695, 1585, 2261, 514, 1228, 3681, 4481, 2966, 585, 7393, 519, 2298, 543, 521, 2948, 1465, 540, 2468, 2389, 760, 11912, 1282, 5986, 269, 5047, 267, 5490, 883, 1898, 3344, 4478, 7041, 2409, 267, 5227, 5210, 267, 543, 942, 14604, 950, 2502, 538, 519, 1148, 540, 7296, 2468, 2389, 760, 780, 2862, 269, 4197, 7756, 26505, 540, 10222, 6874, 2354, 692, 6524, 25054, 593, 513, 3460, 2509, 13215, 3501, 2261, 514, 3547, 543, 6099, 5986, 2175, 267, 621, 781, 2629, 1101, 547, 1174, 519, 1114, 6163, 540, 2468, 2389, 2354, 2139, 1759, 593, 741, 5169, 543, 5888, 269, 10021, 3320, 267, 972, 2291, 1079, 1292, 6688, 540, 2468, 2389, 2354, 281, 2142, 1030, 10222, 6874, 760, 543, 623, 1251, 10222, 6874, 760, 269, 3962, 1826, 15225, 3982, 4162, 12018, 4998, 2261, 1588, 2409, 543, 9053, 5986, 2053, 780, 288, 264, 2142, 1030, 10222, 6874, 760, 692, 265, 7880, 7149, 689, 519, 5377, 27205, 5979, 514, 1016, 1440, 2711, 1858, 454, 265, 10886, 1242, 676, 922, 6906, 3337, 543, 5266, 1507, 2450, 630, 20200, 1227, 20604, 1063, 476, 272, 269, 276, 268, 274, 6550, 994, 265, 1230, 13935, 21464, 3170, 3892, 267, 799, 8309, 3648, 547, 922, 7347, 8137, 9043, 2390, 5986, 454, 265, 10671, 2231, 5111, 476, 1789, 3764, 829, 11013, 693, 513, 5812, 2837, 540, 476, 18597, 13790, 950, 1373, 28655, 692, 289, 264, 623, 1251, 10222, 6874, 760, 692, 265, 5136, 22633, 689, 14918, 262, 13105, 3148, 454, 265, 10705, 4130, 982, 922, 14132, 11218, 267, 2356, 20604, 1472, 476, 272, 268, 272, 269, 276, 6550, 454, 265, 13575, 10709, 518, 609, 1447, 703, 1090, 31100, 3170, 267, 26089, 6297, 7829, 547, 2061, 15018, 856, 1282, 5986, 3157, 454, 265, 30003, 7296, 8653, 8813, 1369, 519, 2039, 540, 476, 1789, 268, 2412, 3764, 829, 11013, 693, 476, 18597, 13790, 692, 7656, 269, 11957, 540, 29922, 10866, 3057, 514, 3547, 585, 24046, 4469, 822, 832, 692, 11321, 3215, 16469, 814, 1044, 13736, 2066, 4529, 2429, 1686, 267, 7674, 2789, 5301, 971, 607, 5355, 31926, 267, 4946, 6988, 547, 10366, 267, 543, 17420, 1996, 1761, 1426, 13871, 10108, 1813, 547, 13385, 5986, 2853, 269, 1306, 971, 267, 6220, 3617, 2261, 514, 3547, 3358, 12799, 547, 707, 6074, 3940, 2707, 4249, 513, 1713, 1909, 538, 4180, 3811, 4093, 538, 1022, 8670, 10023, 2468, 2389, 760, 3334, 780, 4353, 269, 14958, 532, 26758, 3057, 514, 3547, 281, 12708, 15689, 1299, 19047, 692, 2414, 25666, 2500, 2261, 514, 3547, 5827, 540, 6173, 908, 2468, 2389, 760, 8286, 267, 2015, 10128, 891, 4909, 2609, 1384, 288, 264, 3600, 7190, 692, 265, 8871, 4925, 15059, 540, 5946, 3056, 547, 2799, 31926, 454, 265, 6201, 1331, 20521, 5613, 630, 12661, 976, 267, 561, 1307 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6624, 540, 1346, 1510, 519, 2556, 2200, 543, 7460, 4058, 7207, 723, 796, 3772, 569, 7550, 519, 968, 342, 7159, 7146, 3620, 2100, 892, 1935, 563, 1103, 519, 2063, 1079, 1296, 267, 972, 568, 606, 2333, 538, 3906, 8600, 2933, 585, 519, 2009, 14798, 630, 22381, 264, 6855, 12176, 563, 5278, 3906, 1289, 621, 6855, 2770, 7460, 1544, 1247, 1866, 1289, 621, 6855, 2770, 20314, 1890, 1544, 563, 2690, 27792, 267, 930, 540, 519, 8847, 543, 2165, 514, 3098, 540, 519, 3334, 540, 891, 4566, 616, 5941, 538, 519, 1739, 1016, 21827, 563, 4913, 267, 519, 2487, 7835, 543, 8906, 827, 519, 3644, 1683, 930, 10881, 607, 547, 1018, 649, 666, 2503, 563, 13328, 2657, 9257, 814, 19230, 602, 519, 1981, 540, 519, 26624, 2770, 4742, 513, 1480, 14798, 6855, 568, 1164, 269, 0, 18550, 476, 2918, 267, 476, 1708, 271, 454, 763, 3955, 32483, 850, 16186, 454, 1103, 519, 3105, 6810, 267, 596, 941, 5189, 547, 14415, 3796, 543, 519, 954, 32483, 850, 2039, 267, 6382, 1634, 607, 519, 21842, 305, 269, 1677, 13713, 973, 777, 267, 519, 954, 32483, 850, 2039, 568, 3989, 607, 519, 3845, 1063, 519, 1101, 543, 3791, 14415, 3796, 267, 799, 3568, 1312, 519, 11667, 543, 476, 2004, 260, 540, 519, 1239, 269, 31962, 519, 3239, 2630, 267, 1031, 607, 606, 1383, 14745, 540, 519, 21842, 305, 563, 4407, 519, 21842, 305, 814, 1082, 3156, 267, 1519, 3283, 13615, 547, 519, 4901, 593, 856, 11502, 6045, 2417, 593, 538, 713, 3296, 267, 1018, 568, 1271, 547, 4063, 568, 875, 519, 3800, 540, 3844, 12402, 1404, 883, 519, 21842, 305, 269, 901, 568, 15864, 547, 1294, 950, 3168, 693, 1239, 28367, 593, 513, 4216, 7120, 563, 26213, 30831, 666, 581, 606, 2500, 1259, 540, 18071, 519, 21842, 305, 1317, 789, 666, 4159, 1082, 3800, 540, 3844, 12402, 543, 13260, 269, 634, 1611, 543, 11667, 666, 581, 2938, 538, 1312, 13602, 267, 1141, 519, 4216, 7120, 593, 519, 2451, 2982, 513, 4216, 7120, 1141, 519, 1611, 568, 3152, 982, 519, 11667, 543, 519, 4216, 7120, 593, 519, 1318, 2982, 513, 3892, 1141, 519, 11667, 543, 1611, 616, 3160, 563, 763, 3892, 267, 3989, 607, 875, 519, 4632, 616, 3262, 856, 267, 568, 1655, 14648, 676, 519, 21842, 305, 269, 634, 4216, 7120, 593, 519, 2451, 2982, 513, 4216, 7120, 1141, 519, 1101, 14415, 850, 568, 6251, 547, 519, 11667, 982, 519, 3791, 14415, 850, 269, 634, 4216, 7120, 593, 519, 1318, 267, 593, 519, 824, 1688, 267, 2982, 513, 3892, 1141, 519, 11667, 543, 1611, 616, 1226, 573, 9665, 689, 1312, 14415, 3796, 476, 272, 543, 476, 274, 563, 4322, 3604, 538, 1141, 519, 3800, 9114, 593, 519, 4216, 7120, 616, 1813, 547, 3604, 538, 14778, 269, 7316, 519, 3892, 593, 519, 1318, 568, 22566, 540, 513, 3339, 3892, 267, 519, 835, 593, 519, 2451, 6786, 513, 7729, 14954, 3892, 269, 1284, 3580, 979, 811, 883, 811, 1469, 593, 14778, 2663, 269, 1280, 1631, 267, 596, 666, 1265, 513, 973, 777, 540, 519, 3800, 540, 3844, 12402, 543, 13260, 596, 666, 7747, 689, 4216, 30831, 538, 519, 3349, 2630, 563, 347, 9288, 5501, 1475, 19613, 593, 13340, 7120, 1475, 11328, 13133, 566, 2008, 347, 13614, 1475, 23777, 1227, 4092, 1657, 610, 2630, 519, 1611, 543, 1369, 519, 21842, 305, 267, 4352, 972, 616, 17756, 1475, 763, 3328, 540, 519, 1239, 2008, 347, 8469, 1014, 1475, 299, 11343, 693, 14415, 850, 476, 273, 1475, 295, 2788, 519, 1239, 2887, 1657, 543, 2630, 713, 1448, 630, 1492, 476, 2004, 260, 1665, 10245, 347, 14737, 3065, 1475, 299, 11343, 693, 1627, 271, 1475, 763, 9803, 1871, 540, 519, 1239, 1305, 2008, 347, 16655, 3065, 1475, 299, 11343, 693, 1627, 275, 1475, 763, 5207, 1871, 540, 519, 1239, 1305, 2008, 347, 11328, 32483, 850, 16186, 1475, 27001, 1627, 272, 543, 1627, 274, 1475, 295, 9529, 476, 2004, 260, 540, 519, 1239, 267, 519, 11667, 543, 1344, 827, 519, 8998, 476, 2004, 260, 540, 519, 1239, 1305, 2008, 2252, 596, 4076, 2760, 4862, 540, 856, 11502, 538, 513, 6310, 610, 7194, 4259, 267, 596, 2461, 3808, 547, 723, 4862, 621, 1031, 538, 824, 10459, 269, 901, 568, 1813, 5631, 1317, 540, 519, 1249, 602, 519, 4214, 540, 856, 11502, 568, 3376, 543, 666, 4061, 581, 4294, 547, 3871, 3564, 6128, 563, 2304, 7979, 1512, 568, 3989, 607, 513, 1448, 602, 11651, 2471, 689, 519, 6093, 4806, 269, 769, 824, 1913, 267, 606, 7979, 1512, 568, 1114, 689, 519, 1964, 540, 519, 1239, 1305, 563, 2005, 779, 2653, 547, 25657, 856, 11502, 609, 9565, 7422, 269, 1717, 267, 621, 666, 581, 4443, 547, 5094, 519, 1079, 676, 3206, 540, 856, 11502, 607, 513, 2268, 10362, 5631, 547, 10855, 7194, 1247, 9565, 7422, 616, 3335, 1031, 950, 9001, 1102, 22460, 7194, 563, 2304, 9565, 8343, 568, 513, 1239, 1448, 610, 2798, 602, 723, 606, 1764, 593, 519, 9386, 540, 513, 9695, 1899, 269, 1763, 6326, 519, 3877, 540, 9695, 585, 938, 3391, 593, 1102, 22460, 7194, 267, 596, 666, 1205, 513, 2596, 1620, 540, 519, 3017, 1063, 891, 1079, 8579, 2035, 689, 519, 2592, 2630, 563, 2026, 596, 666, 1294, 267, 519, 9695, 1899, 593, 519, 2451, 568, 711, 4299, 676, 519, 10014, 540, 519, 2699, 1448, 267, 6466, 593, 519, 1318, 267, 649, 666, 1294, 602, 519, 9695, 1899, 2242, 3648, 609, 519, 10014, 540, 519, 11909, 1448, 269, 901, 5267, 519, 2699, 1448, 568, 606, 7979, 1512, 543, 519, 11909, 1448, 568, 606, 9565, 8343, 563, 1692, 547, 10576, 4934, 11502, 454, 1103, 7194, 267, 972, 616, 1082, 1114, 2081, 547, 2697, 2436, 610, 711, 513, 1448, 568, 606, 7979, 1512, 269, 1703, 616, 1079, 2596, 2409, 596, 666, 2308, 547, 2697, 606, 7979, 1512, 267, 799, 616, 24298, 538, 519, 3349, 2630, 563, 347, 24092, 8061, 2747, 6396, 1475, 2252, 519, 1239, 814, 513, 3339, 3892, 267, 649, 666, 946, 519, 476, 6924, 268, 4817, 268, 4200, 269, 278, 4341, 547, 3313, 856, 11502, 269, 901, 1797, 649, 666, 11737, 337, 3320, 1305, 7182, 267, 3335, 476, 274, 543, 1657, 267, 547, 2697, 856, 11502, 13954, 2252, 649, 1305, 621, 693, 476, 274, 2073, 713, 1797, 602, 1022, 1448, 476, 274, 2476, 689, 519, 1611, 543, 3564, 666, 581, 2808, 856, 11502, 8198, 347, 11328, 32483, 850, 16186, 6396, 1475, 2252, 519, 1239, 3085, 1406, 723, 513, 3339, 3892, 267, 649, 666, 946, 519, 21842, 305, 607, 513, 25162, 585, 856, 11502, 607, 621, 3568, 476, 2004, 260, 540, 519, 1239, 269, 15380, 267, 519, 7182, 616, 267, 1586, 267, 11737, 337, 3320, 1305, 693, 21842, 305, 2608, 2476, 689, 519, 476, 1839, 628, 543, 476, 4037, 628, 14415, 3796, 267, 1141, 568, 3335, 1305, 693, 476, 272, 269, 276, 13954, 2252, 1627, 274, 568, 476, 1015, 543, 1627, 272, 568, 476, 274, 267, 519, 21842, 305, 1131, 581, 476, 1015, 910, 476, 274, 815, 476, 278, 269, 3973, 267, 519, 2539, 3970, 543, 5580, 3970, 585, 519, 1239, 1305, 1131, 581, 476, 278, 265, 272, 269, 276, 815, 476, 1015, 269, 276, 269, 901, 1797, 602, 1022, 1448, 2630, 476, 274, 268, 1015, 269, 276, 815, 910, 278, 269, 276, 543, 1657, 476, 1015, 266, 1015, 269, 276, 815, 476, 736, 269, 276, 1223, 581, 2808, 606, 7979, 1512, 8198, 20797, 9046, 476, 272, 454, 24280, 519, 1739, 10855, 7194, 689, 519, 1239, 2016, 538, 519, 3349, 2630, 912, 268, 3955, 32483, 850, 16186, 454, 2791, 616, 3843, 547, 6430, 2436, 610, 711, 596, 723, 606, 7979, 1512, 538, 707, 1239, 1305, 269, 2422, 519, 3044, 11539, 1505, 538, 1931, 547, 3313, 952, 972, 616, 1022, 856, 11502, 538, 707, 1239, 267, 2016, 538, 519, 1239, 3349, 2630, 563, 11328, 13133, 519, 5750, 2630, 563, 11405, 9046, 476, 272, 454, 763, 1611, 568, 7229, 607, 2676, 763, 11667, 568, 519, 30268, 540, 519, 1239, 1305, 269, 5221, 938, 1239, 568, 2907, 10288, 1106, 2547, 547, 6574, 267, 649, 3274, 991, 547, 1265, 519, 1647, 1871, 269, 769, 713, 2013, 267, 621, 568, 519, 476, 276, 628, 8343, 267, 799, 814, 513, 1871, 540, 476, 1789, 563, 763, 954, 32483, 850, 2039, 568, 1336, 676, 24590, 519, 1239, 883, 2185, 2195, 269, 23560, 713, 3947, 721, 519, 1739, 14415, 3796, 912, 268, 1627, 271, 815, 476, 276, 454, 268, 1627, 272, 815, 476, 2190, 454, 268, 1627, 273, 815, 476, 1789, 454, 268, 1627, 274, 815, 476, 3953, 454, 268, 1627, 275, 815, 476, 4817, 454, 9202, 267, 519, 21842, 305, 666, 581, 7229, 607, 2676, 11405, 9046, 476, 273, 454, 8340, 519, 1900, 8386, 9912, 3070, 2630, 563, 8794, 519, 3044, 11539, 1505, 547, 2697, 606, 7979, 1512, 666, 581, 2944, 676, 3044, 1944, 519, 1239, 1448, 269, 1284, 14353, 519, 11359, 8343, 949, 581, 606, 7979, 1512, 563, 1607, 1797, 602, 519, 476, 2568, 568, 827, 476, 272, 269, 279, 2476, 689, 519, 1611, 269, 2755, 713, 568, 1869, 1134, 1369, 519, 476, 274, 7363, 1031, 585, 4466, 856, 11502, 538, 519, 3044, 11539, 1505, 267, 596, 949, 1616, 547, 2015, 4259, 519, 3970, 693, 513, 2539, 2094, 519, 3732, 2450, 568, 1507, 563, 11405, 9046, 476, 274, 454, 347, 304, 271, 1475, 763, 5934, 267, 4092, 693, 476, 271, 2008, 347, 304, 272, 1475, 1839, 260, 540, 519, 1239, 568, 2630, 476, 3374, 2008, 347, 304, 273, 1475, 2004, 260, 540, 519, 1239, 568, 1657, 543, 2630, 476, 2004, 2008, 347, 304, 274, 1475, 4037, 260, 540, 519, 1239, 568, 2630, 476, 4792, 2008, 347, 304, 275, 1475, 763, 5021, 267, 4092, 693, 476, 1911, 347, 0, 2304, 1383, 540, 8670, 568, 513, 6676, 563, 2304, 1383, 540, 513, 8670, 568, 27966, 22101, 518, 1961, 563, 2304, 1383, 540, 547, 8670, 568, 22635, 532, 7573, 5196, 2576, 781, 6676, 563, 291, 1639, 909, 519, 12403, 563, 291, 1639, 909, 606, 5140, 9913, 563, 288, 8670, 540, 12403, 563, 288, 10448, 8670, 563, 1607, 8670, 568, 11423, 543, 3362, 1500, 563, 2005, 781, 707, 2490, 547, 11547, 519, 8286, 563, 763, 13962, 771, 1117, 909, 513, 8949, 7969, 1490, 4875, 563, 268, 1677, 4308, 856, 9880, 610, 6057, 563, 268, 1677, 1641, 1866, 547, 7411, 267, 9880, 267, 27465, 267, 7759, 545, 2544, 267, 3092, 269, 0, 4263, 7434, 20029, 531, 4347, 624, 1323, 693, 7434, 31027, 531, 8919, 630, 32359, 264, 568, 835, 540, 519, 1034, 1455, 3029, 540, 22787, 2295, 2068, 1336, 538, 4079, 269, 4014, 972, 616, 693, 2547, 1614, 1114, 3029, 540, 693, 7434, 31027, 531, 8919, 267, 789, 782, 723, 538, 1455, 513, 2792, 1063, 519, 1318, 543, 2451, 693, 8922, 269, 2311, 7434, 31027, 531, 12889, 616, 519, 3791, 1034, 1455, 1826, 540, 22787, 2295, 8919, 267, 543, 1851, 4079, 267, 789, 616, 519, 1034, 1455, 269, 634, 2783, 568, 811, 1455, 538, 2021, 982, 538, 2367, 269, 1548, 616, 519, 1279, 3856, 2360, 540, 693, 7434, 31027, 531, 12889, 888, 2252, 972, 568, 513, 8559, 538, 519, 693, 7434, 31027, 636, 267, 621, 568, 1572, 606, 693, 7434, 31027, 531, 8919, 630, 32359, 1040, 2368, 540, 519, 1973, 602, 1058, 2095, 883, 519, 2451, 28602, 548, 630, 528, 2539, 23028, 12068, 264, 689, 519, 2451, 693, 8922, 1631, 8928, 883, 519, 1318, 693, 8922, 998, 519, 20284, 269, 769, 2490, 267, 811, 1973, 4422, 547, 519, 1318, 2427, 540, 519, 2295, 543, 1394, 547, 519, 9641, 2864, 982, 856, 547, 519, 1560, 269, 9484, 476, 6860, 267, 5788, 2311, 7434, 20029, 531, 4347, 624, 769, 20661, 1403, 519, 3461, 568, 711, 8995, 609, 2311, 7434, 20029, 531, 4347, 624, 2394, 1010, 17017, 15296, 267, 519, 12675, 3441, 593, 519, 9641, 543, 2295, 267, 1510, 1022, 2126, 666, 2110, 523, 741, 1272, 269, 23369, 540, 20284, 693, 513, 1762, 2085, 2636, 519, 2550, 547, 1205, 519, 2126, 693, 519, 1318, 942, 267, 3850, 873, 547, 9156, 6923, 3842, 6646, 563, 288, 834, 23346, 257, 538, 519, 3774, 602, 24508, 519, 1283, 1079, 20830, 540, 519, 2295, 269, 901, 8919, 2636, 5135, 11656, 1973, 547, 13451, 883, 519, 5135, 1790, 3233, 1973, 20830, 538, 519, 2295, 269, 20284, 568, 513, 8919, 538, 519, 31027, 636, 1063, 519, 2295, 781, 1079, 5580, 20830, 630, 520, 6319, 1040, 634, 31027, 636, 568, 513, 3774, 602, 24508, 519, 2295, 781, 2451, 543, 1318, 5011, 269, 2311, 7434, 31027, 531, 8919, 849, 1572, 606, 20284, 267, 568, 513, 22787, 630, 30005, 693, 4332, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5441, 13335, 4828, 3584, 602, 596, 786, 2693, 581, 4280, 547, 2328, 269, 1809, 267, 952, 596, 723, 513, 2603, 540, 1344, 547, 1331, 538, 707, 5441, 13335, 4828, 267, 596, 949, 1616, 547, 15395, 519, 1557, 3584, 585, 707, 20389, 610, 20554, 8464, 269, 17859, 540, 1018, 2010, 540, 2852, 3156, 596, 616, 7311, 585, 267, 519, 5441, 13335, 4828, 3584, 786, 948, 596, 2328, 707, 1557, 1134, 269, 0, 5978, 15769, 786, 2689, 1018, 596, 4076, 11643, 543, 3313, 2436, 547, 23590, 519, 2376, 12282, 7765, 27429, 781, 14539, 31313, 5358, 543, 938, 2146, 540, 4966, 547, 2744, 513, 2518, 5304, 585, 707, 960, 2336, 32723, 332, 850, 2725, 344, 3205, 267, 630, 9799, 4924, 269, 476, 1321, 267, 476, 6977, 280, 267, 700, 889, 4802, 267, 2717, 1421, 6739, 7276, 1496, 852, 538, 12996, 316, 1765, 323, 1221, 5463, 269, 476, 275, 267, 476, 4350, 274, 267, 8303, 267, 5333, 1070, 14470, 23899, 3943, 2447, 626, 543, 14544, 540, 2257, 4171, 2035, 540, 7787, 1620, 1759, 593, 17779, 543, 1757, 16117, 941, 2442, 1851, 3621, 28466, 538, 519, 476, 4350, 271, 338, 563, 14807, 730, 538, 8106, 2257, 543, 7998, 896, 7917, 30247, 645, 684, 11420, 538, 5125, 267, 2725, 344, 3205, 32164, 3603, 547, 8303, 630, 6642, 273, 1070, 1141, 646, 2968, 606, 4853, 2447, 626, 267, 4914, 9375, 585, 519, 32147, 553, 3377, 8116, 267, 543, 267, 2663, 267, 8689, 540, 519, 6014, 16690, 1436, 5948, 585, 2342, 543, 5607, 19724, 269, 4014, 646, 1185, 1100, 6101, 6280, 4276, 267, 1010, 2144, 644, 924, 1568, 1765, 18034, 5772, 527, 2946, 1696, 678, 2946, 531, 527, 2946, 630, 5002, 279, 282, 14740, 543, 18712, 1070, 1546, 561, 685, 1410, 6473, 546, 753, 8350, 9443, 267, 476, 273, 2019, 269, 630, 4572, 272, 282, 968, 4002, 19247, 538, 519, 7070, 25257, 543, 13660, 2447, 710, 618, 632, 3288, 23445, 19902, 267, 476, 274, 2019, 269, 630, 4350, 272, 282, 968, 4002, 519, 18467, 540, 23539, 14615, 1765, 935, 9109, 1027, 5640, 602, 3621, 6138, 568, 6956, 1152, 676, 7421, 519, 1686, 540, 2257, 269, 1261, 6905, 1010, 5784, 547, 971, 824, 2127, 607, 7061, 3069, 267, 10952, 543, 18642, 2219, 267, 543, 25536, 3069, 267, 607, 538, 5487, 667, 2946, 9134, 8887, 22999, 324, 630, 4572, 276, 282, 968, 9824, 520, 22999, 667, 9254, 794, 892, 1916, 9596, 2859, 538, 891, 1644, 27429, 4930, 912, 28899, 681, 592, 619, 540, 5333, 7628, 922, 1279, 1686, 267, 5333, 814, 8854, 998, 3875, 2010, 540, 2229, 269, 7201, 519, 25004, 6243, 267, 5333, 779, 1699, 1062, 267, 519, 2212, 540, 1533, 568, 519, 7022, 267, 945, 568, 11221, 676, 1463, 8471, 27049, 269, 634, 3349, 2488, 513, 1592, 540, 519, 2101, 17710, 540, 7498, 4942, 3342, 4451, 540, 2257, 4942, 3342, 4451, 540, 2257, 267, 519, 1353, 267, 689, 513, 10952, 5133, 267, 540, 519, 2609, 540, 3621, 14374, 269, 901, 2376, 11828, 21042, 9713, 267, 26381, 1670, 267, 543, 5683, 2152, 1644, 547, 519, 2259, 543, 3853, 540, 2413, 2257, 269, 1280, 2126, 540, 10952, 2152, 6659, 676, 519, 2042, 543, 7498, 13640, 529, 13640, 529, 267, 2749, 543, 3854, 540, 5333, 267, 13883, 538, 519, 5087, 7266, 1537, 851, 540, 519, 2197, 269, 4658, 941, 2713, 593, 519, 3135, 540, 519, 1459, 6377, 2749, 267, 4092, 2059, 519, 1530, 710, 5211, 930, 476, 22001, 5195, 630, 23841, 5998, 264, 25318, 689, 519, 5757, 779, 5023, 593, 519, 2296, 19305, 630, 17442, 2494, 3832, 1070, 676, 827, 476, 31318, 271, 536, 576, 269, 634, 2413, 2749, 2507, 0, 777, 25902, 616, 1419, 538, 10156, 3761, 982, 789, 1131, 581, 1510, 10519, 1852, 269, 6306, 906, 2356, 10519, 585, 3928, 2539, 982, 519, 2344, 2557, 269, 621, 2356, 3217, 811, 942, 547, 1265, 606, 19887, 982, 621, 1131, 1510, 10519, 1852, 563, 272, 1315, 476, 272, 533, 1206, 7726, 476, 278, 454, 3071, 4016, 547, 519, 5786, 538, 2804, 21045, 4611, 689, 711, 1373, 538, 8013, 11466, 563, 291, 1737, 7076, 2530, 22043, 2336, 300, 1173, 1400, 1942, 21277, 1356, 693, 15577, 454, 272, 1315, 476, 272, 533, 1206, 7726, 476, 279, 454, 8269, 518, 547, 7612, 476, 275, 268, 276, 269, 634, 4137, 1657, 4564, 519, 2344, 585, 890, 322, 753, 269, 27539, 602, 713, 568, 513, 8013, 2344, 269, 1403, 476, 275, 267, 1822, 6550, 540, 890, 322, 753, 616, 4421, 2676, 332, 1173, 1400, 4324, 568, 3160, 547, 8589, 1942, 269, 519, 4666, 7076, 2530, 568, 3160, 547, 1269, 1321, 267, 1822, 269, 22043, 2336, 4621, 10179, 21045, 11224, 4642, 269, 519, 8589, 4324, 540, 1142, 540, 519, 476, 275, 267, 1822, 6550, 540, 890, 322, 753, 11224, 1269, 274, 563, 272, 1315, 476, 272, 533, 1206, 7726, 476, 280, 454, 8201, 476, 275, 268, 280, 2982, 519, 3747, 543, 3761, 14258, 585, 519, 30288, 2344, 269, 634, 2229, 11099, 602, 519, 11466, 3902, 568, 1932, 1970, 543, 13290, 547, 948, 454, 531, 12107, 25210, 676, 4259, 513, 3902, 6989, 693, 623, 4586, 8269, 518, 547, 7612, 476, 275, 268, 280, 1547, 1548, 1858, 4564, 7082, 21045, 1310, 519, 791, 3789, 540, 519, 3902, 6989, 888, 288, 1341, 645, 1341, 661, 1341, 674, 589, 1341, 645, 1341, 661, 589, 22043, 256, 22043, 256, 589, 1341, 645, 454, 272, 1315, 476, 272, 533, 1206, 7726, 476, 1015, 454, 22428, 513, 3902, 6989, 593, 31394, 9174, 568, 6069, 676, 519, 2657, 10579, 540, 519, 2197, 540, 966, 4176, 731, 807, 269, 1548, 786, 581, 519, 2693, 1198, 593, 519, 2344, 585, 31394, 454, 342, 710, 538, 966, 4176, 731, 807, 888, 23797, 640, 18796, 786, 2333, 267, 7274, 13859, 786, 6175, 267, 543, 513, 21045, 786, 1267, 269, 10829, 640, 18796, 786, 6175, 267, 7274, 13859, 786, 2333, 267, 543, 513, 21045, 786, 1267, 269, 22043, 2336, 23797, 640, 18796, 786, 6175, 267, 7274, 13859, 786, 2333, 267, 543, 513, 17732, 786, 1267, 269, 10829, 640, 18796, 786, 2333, 267, 7274, 13859, 786, 6175, 267, 543, 513, 17732, 786, 1267, 563, 272, 1315, 476, 272, 533, 1206, 7726, 476, 1556, 454, 763, 5934, 13230, 568, 606, 1383, 540, 454, 320, 13564, 344, 585, 1970, 1606, 330, 2683, 4600, 269, 513, 3902, 18109, 269, 513, 3902, 6989, 269, 22043, 256, 22043, 256, 513, 3109, 2344, 563, 272, 1315, 476, 272, 533, 1206, 7726, 476, 1321, 454, 4467, 3966, 625, 6721, 16003, 1957, 6926, 778, 519, 1957, 547, 1118, 621, 3043, 269, 634, 6926, 778, 568, 26809, 883, 8933, 543, 12647, 543, 3123, 8101, 2825, 454, 17043, 720, 269, 7612, 476, 275, 268, 2641, 14550, 519, 3510, 538, 519, 16003, 1957, 2344, 563, 8269, 518, 547, 7612, 476, 275, 268, 2641, 269, 2913, 781, 15475, 519, 2229, 791, 4680, 513, 3454, 540, 1269, 2004, 829, 1770, 540, 16003, 1957, 547, 3142, 827, 519, 3608, 1377, 540, 2504, 269, 1548, 454, 327, 1952, 839, 547, 519, 2344, 3902, 540, 16003, 1957, 888, 2005, 14380, 676, 811, 982, 1269, 2004, 829, 1770, 269, 898, 14380, 676, 1447, 982, 1269, 2004, 829, 1770, 269, 22043, 256, 898, 14380, 676, 1269, 2004, 829, 1770, 269, 898, 3788, 519, 1482, 1317, 519, 3454, 568, 13684, 593, 12696, 945, 1711, 519, 608, 1181, 1275, 563, 272, 1315, 476, 272, 533, 1206, 7726, 476, 1724, 454, 2419, 1157, 523, 1093, 343, 25750, 585, 20854, 4324, 2486, 676, 7863, 1762, 1453, 543, 676, 7303, 606, 15435, 540, 519, 2068, 269, 4935, 267, 519, 1514, 2640, 540, 454, 577, 1157, 523, 1093, 343, 25750, 9765, 519, 4357, 4324, 585, 1022, 7274, 540, 25750, 607, 11609, 538, 7612, 476, 275, 268, 2420, 563, 8269, 518, 547, 7612, 476, 275, 268, 2420, 269, 2290, 1259, 547, 3489, 519, 17215, 3608, 2179, 540, 9269, 1093, 343, 25750, 568, 585, 6608, 547, 13564, 1125, 891, 25750, 563, 1432, 568, 519, 2450, 540, 519, 829, 8686, 3147, 1588, 28522, 990, 1014, 13564, 344, 602, 519, 2229, 1590, 1683, 547, 4835, 1125, 519, 5007, 2640, 286, 0, 21415, 6763, 585, 13387, 13214, 1893, 663, 568, 1031, 547, 5968, 609, 513, 6538, 269, 14069, 616, 6898, 1031, 547, 4163, 856, 4247, 899, 9337, 1239, 267, 23074, 1239, 269, 9786, 14069, 18218, 630, 5960, 14069, 264, 568, 835, 540, 519, 3044, 22228, 6538, 2359, 1949, 630, 305, 24174, 5960, 264, 602, 946, 14069, 563, 2005, 568, 2966, 585, 946, 538, 9746, 8924, 267, 1312, 593, 22402, 607, 1134, 607, 538, 519, 6531, 269, 898, 7028, 513, 3102, 3099, 540, 11834, 4393, 267, 1870, 4987, 543, 12642, 8924, 538, 9746, 8668, 5054, 269, 898, 568, 1851, 519, 1283, 1614, 2344, 6122, 8172, 6538, 4066, 563, 2005, 814, 606, 5393, 3593, 7888, 10380, 8818, 563, 2005, 13408, 3608, 13496, 543, 14238, 7207, 267, 4611, 538, 8476, 1239, 4859, 543, 23023, 3252, 563, 2005, 568, 835, 540, 519, 1034, 5150, 6538, 13763, 563, 2005, 3091, 1239, 2359, 543, 12210, 6712, 532, 2645, 563, 2005, 814, 5140, 1239, 11808, 543, 6051, 7271, 269, 0, 306, 11482, 269, 700, 2292, 9534, 9737, 634, 17121, 543, 27449, 10298, 630, 6637, 476, 1321, 994, 20784, 700, 2292, 1773, 2033, 26344, 5852, 10298, 585, 3848, 476, 1321, 2048, 9824, 725, 1063, 519, 590, 1938, 540, 513, 21121, 543, 922, 27449, 685, 1331, 3635, 3435, 540, 519, 3184, 2813, 676, 519, 1655, 29890, 4966, 693, 2382, 553, 565, 341, 269, 1452, 3435, 4766, 538, 1469, 875, 519, 7285, 538, 1022, 6906, 616, 1644, 547, 741, 7222, 5011, 676, 1797, 540, 25066, 3252, 269, 1452, 3435, 786, 581, 3730, 585, 519, 7041, 540, 8013, 11400, 899, 594, 3951, 808, 7417, 543, 17252, 4953, 607, 2055, 1644, 547, 1894, 1063, 5011, 540, 513, 6906, 543, 922, 5086, 616, 1419, 4280, 538, 891, 11400, 563, 20784, 700, 2292, 1773, 2033, 26344, 5852, 10298, 585, 808, 7417, 9534, 1063, 519, 590, 1938, 540, 513, 21121, 543, 922, 27449, 723, 513, 2698, 540, 476, 5379, 2055, 799, 616, 5258, 883, 476, 273, 5751, 269, 769, 891, 5751, 267, 596, 786, 581, 2111, 547, 1451, 519, 2078, 1063, 875, 519, 5011, 540, 513, 6906, 543, 1114, 17693, 2210, 3740, 3252, 899, 590, 710, 267, 15328, 710, 267, 543, 19358, 550, 616, 1644, 547, 1142, 824, 269, 1411, 849, 1451, 519, 1482, 1894, 950, 519, 23109, 616, 10300, 1386, 543, 865, 596, 1131, 1205, 547, 1294, 519, 1482, 2856, 538, 1114, 3029, 269, 11109, 2347, 10298, 547, 20793, 700, 2292, 2055, 568, 1271, 547, 1106, 513, 2178, 3490, 538, 29890, 269, 3776, 3435, 786, 9090, 948, 596, 538, 6061, 519, 3635, 2042, 799, 1131, 948, 596, 21271, 532, 12497, 23665, 563, 21093, 3435, 547, 2352, 3635, 2055, 689, 4966, 568, 513, 1434, 1259, 540, 1565, 543, 1620, 519, 2035, 2094, 4966, 786, 1683, 513, 2620, 5813, 883, 519, 2035, 3238, 269, 3776, 2319, 693, 2382, 553, 565, 341, 2488, 2347, 3435, 547, 20793, 700, 2292, 1773, 2033, 26344, 5852, 3487, 476, 272, 547, 1732, 16491, 596, 609, 519, 2186, 540, 2055, 602, 2097, 538, 2101, 8013, 11400, 899, 594, 3951, 11219, 7417, 543, 17252, 4953, 2059, 609, 4147, 476, 1321, 21038, 269, 2060, 938, 3435, 267, 596, 849, 1451, 875, 547, 798, 2055, 7561, 543, 2327, 1732, 942, 31193, 1282, 17173, 981, 5054, 563, 30131, 11762, 585, 20793, 700, 2292, 1773, 2033, 26344, 5852, 10298, 3848, 476, 1321, 281, 9534, 9737, 634, 590, 1938, 540, 513, 21121, 543, 4706, 27449, 454, 9824, 566, 9737, 5011, 543, 590, 1149, 540, 519, 27449, 11534, 5242, 547, 23067, 1107, 769, 1022, 6906, 267, 2161, 13235, 267, 519, 2427, 6587, 547, 5086, 589, 799, 568, 7460, 568, 6719, 676, 513, 267, 13974, 585, 7285, 645, 519, 2427, 568, 8028, 6719, 676, 536, 543, 585, 5086, 595, 621, 568, 9474, 6719, 676, 524, 269, 901, 568, 3254, 538, 519, 4137, 2630, 912, 1103, 519, 4137, 1657, 267, 952, 1899, 5084, 568, 6537, 13902, 547, 7460, 1287, 10778, 1103, 6906, 9474, 291, 267, 16429, 645, 815, 5084, 270, 5723, 610, 5084, 815, 524, 16429, 645, 1107, 630, 328, 994, 1103, 6906, 589, 7374, 267, 16429, 595, 815, 5084, 270, 3722, 610, 5084, 815, 536, 16429, 595, 1107, 630, 4512, 994, 5804, 630, 328, 264, 543, 630, 4512, 264, 649, 1205, 524, 16429, 645, 815, 536, 16429, 595, 267, 610, 524, 13478, 514, 595, 815, 536, 13478, 514, 645, 454, 1103, 513, 2147, 1259, 267, 513, 13902, 666, 581, 6537, 689, 645, 593, 11404, 689, 799, 649, 786, 1205, 912, 322, 13478, 514, 595, 815, 513, 13478 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1564, 267, 2138, 1564, 267, 610, 20730, 267, 3314, 547, 1433, 6619, 607, 2442, 9634, 6445, 909, 3533, 267, 2523, 1282, 8445, 4005, 269, 8838, 532, 585, 513, 4342, 704, 7079, 2636, 596, 547, 8415, 3875, 9702, 11614, 543, 4972, 540, 11094, 630, 291, 8016, 264, 13122, 2572, 3262, 2066, 519, 6532, 269, 1452, 1683, 2596, 29319, 899, 30079, 267, 4881, 1216, 267, 543, 3006, 10051, 6703, 267, 1818, 873, 3501, 585, 16074, 13978, 896, 519, 6801, 780, 7312, 3232, 1544, 3085, 1405, 723, 547, 581, 14461, 282, 8112, 568, 1883, 950, 25054, 593, 513, 4155, 7552, 269, 1717, 267, 2348, 513, 11315, 2856, 540, 1141, 596, 9364, 899, 547, 979, 2337, 2327, 596, 1810, 1405, 4413, 1022, 1590, 268, 5408, 24738, 2059, 519, 1259, 269, 1284, 4363, 4358, 707, 3460, 538, 2441, 577, 3420, 267, 513, 7524, 2749, 31811, 3294, 1310, 1713, 16767, 269, 3245, 972, 267, 2212, 2509, 589, 528, 13403, 19072, 870, 13648, 2817, 5244, 267, 1753, 547, 519, 5207, 7823, 538, 1715, 10215, 543, 6909, 19482, 18162, 269, 3973, 267, 14679, 2417, 5045, 547, 1855, 1323, 879, 267, 519, 24891, 4884, 547, 674, 328, 867, 1633, 2817, 5244, 543, 519, 4583, 6660, 5112, 14675, 269, 7053, 267, 16833, 909, 707, 7552, 538, 10348, 560, 1144, 1107, 519, 7045, 3854, 540, 519, 1158, 1107, 1354, 8520, 532, 1394, 5087, 1189, 547, 2347, 707, 5547, 780, 8170, 1576, 267, 1100, 4155, 7552, 1131, 581, 2347, 1510, 3843, 1007, 2833, 256, 2368, 20605, 9035, 24098, 596, 538, 1715, 10215, 267, 899, 536, 25128, 324, 17259, 267, 15191, 1630, 908, 267, 543, 31614, 1136, 1851, 4672, 6199, 338, 269, 1809, 952, 19076, 13824, 5026, 5749, 1405, 707, 3364, 267, 4250, 711, 256, 1703, 616, 9118, 3255, 547, 23365, 3054, 538, 2470, 267, 1451, 827, 8575, 9461, 2528, 267, 6492, 8949, 2199, 11951, 267, 543, 2743, 4241, 17137, 945, 786, 27145, 10950, 596, 547, 741, 20105, 540, 27032, 780, 1103, 3932, 267, 513, 4155, 7552, 2066, 1715, 10215, 781, 3162, 6816, 14767, 10761, 267, 5898, 267, 543, 8823, 602, 786, 2063, 513, 10715, 269, 1635, 1620, 519, 9238, 540, 4058, 543, 7041, 267, 13745, 609, 8508, 15514, 2033, 640, 543, 22371, 547, 1007, 2833, 267, 596, 2811, 3808, 547, 1711, 19644, 2984, 689, 713, 7415, 7944, 540, 938, 4541, 269, 1924, 3640, 707, 11435, 267, 10544, 707, 8254, 267, 543, 1205, 4712, 585, 606, 12473, 3460, 998, 835, 540, 3047, 781, 5963, 2027, 4025, 269, 8414, 12599, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 16032, 540, 519, 3162, 6816, 281, 476, 1015, 6377, 1715, 10215, 4155, 7552, 621, 10719, 776, 454, 3080, 540, 519, 1034, 20498, 569, 4190, 2477, 538, 519, 3003, 1158, 267, 1715, 10215, 568, 849, 9985, 1305, 909, 585, 4155, 15143, 267, 609, 1134, 31720, 22633, 28565, 856, 547, 3084, 11614, 267, 5458, 5121, 540, 13122, 2572, 267, 543, 606, 1202, 2033, 5834, 540, 2067, 4609, 782, 593, 513, 5266, 1507, 6292, 540, 10195, 269, 11153, 1296, 9327, 1406, 581, 2614, 942, 547, 798, 715, 313, 5126, 267, 855, 609, 1175, 476, 1015, 2395, 267, 596, 666, 1869, 1294, 930, 540, 519, 3162, 6816, 779, 1034, 11141, 8711, 563, 5804, 519, 1202, 2033, 620, 18090, 5784, 540, 589, 528, 13403, 19072, 339, 13648, 2817, 5244, 547, 519, 2295, 1790, 18804, 4743, 540, 536, 2426, 344, 17259, 538, 10348, 560, 1144, 547, 519, 14734, 17965, 540, 27224, 21307, 1386, 6660, 5112, 14675, 267, 713, 621, 10719, 776, 786, 25888, 1790, 871, 1169, 8792, 540, 707, 8430, 1765, 543, 4734, 596, 12955, 547, 2097, 1394, 585, 811, 269, 2422, 713, 3391, 547, 948, 1544, 519, 10700, 476, 1015, 6377, 3162, 6816, 4155, 7552, 1472, 1715, 10215, 267, 1519, 646, 2355, 540, 5363, 4388, 593, 1286, 543, 4342, 704, 7079, 16926, 267, 13122, 2572, 267, 22343, 267, 543, 811, 563, 294, 582, 3063, 942, 1299, 1616, 547, 3605, 4779, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 30728, 1315, 5245, 1299, 7909, 807, 1315, 10003, 10222, 6137, 21661, 1715, 10215, 781, 3162, 6816, 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, 8080, 547, 606, 3078, 1158, 540, 29113, 256, 4653, 649, 786, 2263, 875, 3744, 1711, 543, 1353, 6263, 5536, 1572, 834, 22974, 641, 14895, 2437, 799, 616, 1152, 5479, 2195, 540, 513, 11281, 538, 2450, 269, 2334, 781, 11212, 1507, 1765, 810, 1507, 602, 596, 1131, 991, 513, 1360, 3532, 17209, 1175, 547, 1294, 873, 2439, 4131, 781, 4685, 883, 938, 7045, 2221, 676, 1565, 827, 513, 1808, 2186, 540, 17560, 14835, 1634, 607, 513, 834, 4944, 514, 601, 1826, 24519, 7542, 1679, 7623, 1701, 901, 16681, 2012, 4564, 513, 1895, 540, 2326, 1500, 909, 540, 4401, 630, 1492, 1482, 8631, 538, 707, 17919, 14386, 2059, 609, 824, 8407, 899, 13101, 269, 12207, 1419, 946, 1945, 1572, 519, 834, 338, 565, 15074, 4480, 257, 547, 3132, 891, 6263, 5536, 269, 898, 781, 2147, 547, 5986, 950, 596, 3575, 5820, 1927, 1354, 8022, 621, 782, 909, 2439, 3086, 1577, 781, 2911, 827, 930, 3579, 2645, 3173, 2308, 547, 1451, 811, 827, 891, 9589, 2370, 1179, 802, 269, 2290, 971, 1907, 568, 2473, 11920, 32250, 267, 1141, 789, 19542, 7920, 1769, 593, 519, 3732, 543, 5659, 1018, 2501, 1394, 269, 1635, 3257, 713, 267, 789, 666, 3313, 952, 741, 9325, 7848, 5828, 856, 1318, 543, 1256, 7447, 519, 12627, 7306, 1369, 519, 20543, 269, 1280, 3236, 267, 835, 1353, 1336, 602, 741, 13101, 7542, 1679, 20543, 1185, 12627, 7306, 1472, 476, 4375, 269, 280, 6289, 18852, 256, 1677, 948, 2322, 1919, 538, 5133, 267, 4952, 12270, 513, 1480, 4552, 3259, 3772, 2394, 621, 781, 1175, 476, 2004, 8444, 2647, 282, 602, 781, 10199, 3160, 547, 835, 6289, 10309, 2439, 5194, 4241, 1505, 3744, 946, 568, 22263, 17992, 5606, 14518, 21655, 269, 5994, 2348, 2706, 335, 10062, 12823, 899, 1373, 2111, 547, 5873, 4778, 610, 6492, 1913, 269, 4270, 267, 13974, 267, 713, 3684, 2636, 4966, 547, 21264, 1114, 6786, 2016, 1055, 676, 7554, 1063, 2609, 3330, 519, 20543, 269, 1358, 4767, 2189, 21513, 4947, 689, 4496, 3562, 268, 2135, 4723, 4296, 9361, 538, 1312, 25543, 14366, 543, 12354, 320, 14366, 7158, 269, 1452, 7422, 5280, 6166, 602, 789, 6707, 2813, 741, 5551, 8095, 601, 11295, 20543, 780, 9202, 909, 267, 26994, 10414, 5843, 2675, 4878, 13071, 873, 14650, 1367, 5536, 3592, 899, 2921, 513, 4605, 855, 693, 513, 7636, 1377, 256, 4635, 1776, 1383, 689, 519, 1382, 5018, 4505, 267, 519, 2319, 4362, 602, 1142, 540, 741, 13101, 7542, 1679, 5536, 1185, 9274, 5111, 476, 9032, 269, 278, 6289, 18852, 2462, 269, 3807, 19424, 476, 2568, 13558, 11084, 9788, 2427, 676, 2427, 267, 8720, 1439, 3562, 15134, 282, 602, 3845, 1131, 12732, 5176, 6697, 547, 835, 4627, 6289, 18852, 2439, 21328, 2598, 11825, 633, 2473, 7304, 599, 5811, 2337, 2697, 4010, 799, 3334, 13822, 519, 20543, 269, 7053, 267, 2480, 8911, 5082, 1258, 5843, 2675, 4878, 3947, 721, 606, 2856, 540, 519, 2949, 3337, 543, 2627, 2934, 540, 891, 14263, 9908, 2261, 12069, 780, 12234, 267, 10548, 534, 15190, 18122, 2488, 3407, 1344, 3823, 1022, 3114, 2242, 8345, 1369, 519, 20543, 269, 12824, 7074, 2947, 3982, 3270, 267, 12805, 11236, 1759, 593, 519, 8095, 601, 2497, 3069, 780, 15563, 267, 6419, 7403, 7000, 10578, 2623, 17820, 676, 891, 7141, 344, 16782, 693, 4055, 2837, 269, 1879, 6534, 547, 1585, 9342, 540, 11275, 1143, 267, 891, 20543, 4646, 17787, 910, 1589, 540, 1225, 1782, 10775, 19490, 32232, 547, 513, 11275, 269, 4197, 971, 3601, 949, 1291, 547, 5499, 3156, 1524, 519, 1899, 2439, 3383, 972, 596, 723, 621, 267, 2828, 256, 1411, 1631, 917, 513, 3364, 610, 1079, 827, 2870, 543, 4974, 5863, 20543, 269, 5808, 6487, 286, 9320, 14693, 9358, 1223, 1831, 513, 10196, 3695, 519, 20538, 7122, 6456, 9944, 938, 4064, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 1051, 14029, 8084, 267, 25080, 543, 5651, 874, 1670, 2090, 540, 27002, 8722, 273, 302, 275, 15089, 641, 32535, 454, 8967, 514, 601, 1826, 24519, 7542, 1679, 7623, 27002, 8722, 273, 302, 275, 729, 24704, 998, 1151, 15074, 4480, 1210, 4496, 6491, 6233, 607, 840, 15479, 832, 269, 634, 5123, 5888, 267, 19916, 543, 3693, 531, 2079, 540, 13101, 7542, 1679, 630, 300, 326, 8722, 273, 302, 275, 264, 941, 5340, 676, 2473, 11920, 32250, 267, 535, 537, 8175, 2981, 18342, 267, 10570, 3196, 22794, 267, 1648, 12165, 633, 1535, 11920, 543, 17655, 6475, 22794, 267, 9382, 563, 763, 3732, 781, 2473, 11920, 32250, 4806, 2357, 5809, 519, 6228, 540, 2582, 5123, 1570, 267, 609, 519, 2450, 540, 922, 16358, 2572, 6059, 547, 581, 476, 4375, 269, 280, 16354, 269, 22263, 2981, 18342, 6514, 6462, 4496, 268, 2135, 4723, 21513, 7222, 547, 25543, 14366, 543, 12354, 320, 14366, 4609, 267, 6606, 269, 3245, 17655, 6475, 22794, 3239, 267, 10286, 2450, 5833, 827, 476, 9032, 269, 278, 16354, 269, 10548, 534, 26034, 540, 519, 3732, 2982, 2947, 10548, 534, 3742, 12331, 630, 288, 272, 326, 1341, 661, 326, 1341, 476, 274, 293, 273, 326, 1070, 799, 568, 15095, 609, 519, 8095, 601, 2497, 269, 25080, 6482, 1353, 693, 4055, 2837, 2982, 513, 1728, 4614, 637, 529, 8520, 3793, 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, 1262, 16215, 281, 4197, 7167, 13052, 20907, 532, 4373, 5331, 602, 596, 1616, 547, 1628, 707, 1360, 1378, 21097, 1796, 256, 1411, 4312, 3893, 2462, 4566, 910, 596, 1810, 1405, 1175, 1616, 1022, 8723, 1796, 282, 596, 1616, 835, 609, 6505, 4778, 267, 1187, 23598, 267, 543, 1256, 513, 2370, 1129, 547, 4482, 811, 5561, 269, 1717, 267, 782, 1346, 970, 6652, 1942, 2724, 269, 901, 568, 1141, 1945, 1572, 7167, 13052, 22343, 2501, 883, 1404, 780, 22479, 1388, 24723, 267, 610, 7167, 2750, 267, 616, 7482, 1031, 676, 4213, 547, 10536, 267, 22010, 267, 543, 2226, 2168, 7221, 899, 5656, 267, 3937, 267, 6472, 267, 543, 2029, 269, 589, 7167, 13052, 6578, 14592, 875, 1454, 513, 2754, 26770, 547, 6108, 593, 891, 1279, 3856, 9541, 936, 513, 1808, 1974, 269, 2913, 781, 4685, 4514, 883, 713, 1523, 1210, 938, 21097, 1796, 1383, 780, 306, 599, 596, 6059, 602, 2679, 707, 5326, 21097, 1796, 786, 1942, 1269, 4335, 269, 2334, 1269, 4335, 568, 851, 540, 707, 7167, 13052, 6578, 1317, 621, 6227, 519, 3355, 13258, 2877, 547, 1711, 519, 2497, 269, 1809, 1018, 952, 596, 849, 4941, 547, 4444, 513, 16681, 3167, 1025, 2658, 286, 2107, 5310, 3888, 3859, 8440, 547, 1379, 707, 1796, 1247, 1373, 13476, 7874, 286, 8409, 3606, 9276, 2887, 896, 7167, 13052, 1932, 2094, 789, 4125, 11449, 1007, 7221, 547, 2087, 707, 1870, 4238, 780, 3086, 267, 1946, 568, 7167, 13052, 1271, 585, 4213, 286, 4270, 267, 1589, 827, 513, 1286, 12051, 269, 1358, 991, 6191, 267, 2645, 267, 543, 6703, 547, 3132, 6517, 269, 2353, 891, 3688, 2154, 1713, 909, 12506, 3854, 9541, 267, 799, 666, 1491, 1296, 1354, 10451, 2614, 8907, 547, 9156, 741, 3790, 269, 1635, 4058, 543, 5883, 741, 7167, 13052, 6578, 3927, 267, 3549, 2327, 789, 21138, 6190, 2200, 547, 1332, 543, 3251, 8013, 1247, 9319, 936, 4944, 2056, 543, 9292, 1154, 20656, 780, 2414, 9414, 713, 1448, 2417, 267, 1577, 781, 2015, 1079, 7653, 5473, 4672, 8645, 18114, 3079, 540, 21097, 6763, 269, 14597, 972, 616, 1079, 12721, 14903, 5411, 3957, 5981 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 9221, 543, 15198, 707, 14159, 6091, 563, 2414, 1451, 875, 547, 5265, 798, 891, 10649, 13514, 3643, 713, 3135, 256, 1677, 1265, 856, 811, 1344, 827, 1018, 5751, 666, 948, 596, 14867, 707, 1394, 543, 8405, 1928, 267, 3346, 30225, 18553, 15616, 18132, 545, 256, 0, 763, 1739, 568, 689, 15656, 15391, 15838, 779, 476, 1960, 274, 1557, 538, 14579, 16457, 538, 16253, 547, 9880, 540, 1010, 476, 1960, 272, 1557, 563, 3080, 1599, 540, 513, 17565, 568, 547, 5031, 1018, 568, 1271, 630, 324, 3052, 1421, 519, 1761, 585, 15583, 566, 538, 804, 10449, 1063, 2516, 689, 1114, 12977, 5148, 1776, 568, 547, 1747, 5432, 9259, 538, 513, 1007, 5133, 269, 769, 713, 2463, 267, 519, 3540, 9318, 17565, 949, 723, 6286, 585, 519, 2136, 2276, 269, 18831, 899, 519, 8168, 5742, 543, 31735, 807, 602, 1655, 20183, 3540, 9318, 13337, 3515, 4043, 547, 2097, 6306, 269, 634, 9322, 540, 519, 2136, 2276, 814, 13840, 1964, 539, 593, 519, 18618, 5127, 549, 4242, 540, 3864, 2528, 543, 2797, 9111, 269, 1452, 723, 1044, 30304, 540, 3013, 547, 799, 5481, 540, 11082, 723, 15849, 23624, 269, 634, 9759, 540, 519, 1977, 1212, 539, 814, 1044, 3160, 2924, 585, 519, 1367, 267, 543, 13840, 19366, 543, 856, 4751, 2516, 723, 1045, 12097, 543, 7551, 5368, 341, 580, 528, 730, 519, 3741, 540, 519, 1212, 539, 538, 741, 9620, 585, 3160, 2126, 538, 1977, 2486, 269, 634, 1034, 8037, 543, 3811, 4674, 729, 519, 3540, 2924, 3350, 3366, 676, 9410, 13162, 3751, 267, 12789, 1421, 538, 519, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 269, 30272, 267, 2705, 267, 519, 3747, 17146, 689, 3160, 2924, 585, 2043, 547, 2027, 2924, 630, 3530, 3305, 894, 2962, 543, 2147, 3800, 264, 585, 17051, 543, 824, 2516, 269, 6270, 6811, 2196, 2047, 4831, 547, 519, 5817, 3741, 602, 723, 1044, 519, 4493, 540, 1977, 2797, 9322, 282, 789, 7947, 519, 2856, 540, 513, 968, 10233, 15918, 785, 892, 2486, 540, 3160, 2043, 543, 3079, 3895, 513, 968, 10233, 23655, 892, 2486, 609, 2229, 1606, 534, 794, 539, 22864, 585, 930, 2516, 269, 769, 513, 6252, 3350, 267, 30921, 543, 14761, 3459, 547, 7903, 519, 16809, 540, 968, 20123, 12734, 1143, 2223, 543, 547, 31274, 593, 519, 556, 8586, 540, 1977, 2797, 267, 1514, 267, 543, 5339, 1686, 689, 519, 21169, 540, 1875, 26049, 2516, 269, 2311, 519, 3665, 267, 713, 3350, 11148, 547, 21592, 21372, 3401, 540, 12102, 2516, 547, 513, 1377, 540, 2956, 3160, 547, 602, 540, 519, 5853, 532, 12429, 338, 269, 5637, 519, 7569, 585, 2027, 1895, 2924, 543, 585, 18371, 1143, 5000, 513, 32692, 540, 12977, 1369, 519, 2136, 2276, 543, 5000, 1018, 14880, 631, 269, 5576, 956, 5424, 267, 12789, 1421, 2474, 968, 1492, 771, 684, 1746, 540, 3013, 3034, 763, 2136, 2276, 568, 4742, 5051, 3309, 17801, 1227, 543, 7292, 569, 269, 634, 17227, 13163, 9193, 602, 676, 476, 13078, 271, 519, 1977, 2551, 786, 581, 476, 2537, 2600, 17104, 267, 476, 1626, 2600, 3109, 543, 476, 1015, 2600, 7489, 12677, 269, 769, 519, 2250, 519, 2136, 2276, 814, 6707, 12842, 6634, 540, 11082, 689, 8464, 540, 2477, 1317, 789, 9862, 547, 519, 17888, 3864, 2528, 543, 9020, 16484, 17947, 519, 1977, 595, 7517, 540, 15698, 267, 7862, 267, 1367, 1143, 267, 9111, 269, 4024, 713, 4806, 3136, 547, 7173, 841, 607, 476, 2004, 2600, 540, 519, 2551, 3587, 17104, 610, 1875, 19009, 286, 4024, 519, 1007, 11082, 581, 15849, 23624, 883, 519, 554, 2416, 1729, 8789, 3864, 2528, 540, 519, 2136, 2276, 286, 1403, 789, 616, 711, 267, 952, 519, 2136, 2276, 3587, 5963, 18371, 543, 829, 341, 12184, 609, 606, 4835, 32692, 540, 12977, 267, 786, 621, 7639, 607, 513, 12666, 9111, 286, 634, 2797, 3961, 540, 519, 2136, 2276, 568, 12082, 538, 519, 3741, 13994, 4327, 538, 922, 15713, 6054, 269, 4024, 519, 632, 8862, 3480, 1436, 540, 519, 2136, 2276, 267, 952, 621, 4386, 267, 849, 1611, 922, 632, 12677, 1436, 286, 1403, 621, 1281, 543, 4892, 24044, 547, 15666, 547, 741, 12666, 11180, 543, 3864, 268, 549, 6838, 2797, 16809, 267, 519, 2136, 2276, 607, 649, 723, 1634, 621, 786, 24044, 547, 2291, 543, 786, 1246, 519, 824, 1361, 10999, 3989, 2706, 12741, 5196, 519, 11849, 24050, 540, 1686, 563, 1432, 5205, 1985, 568, 689, 513, 15588, 902, 26323, 1353, 912, 763, 772, 2529, 269, 786, 1831, 968, 2381, 528, 640, 3043, 892, 538, 476, 14225, 276, 267, 17227, 3785, 454, 6124, 14829, 2551, 20327, 6166, 519, 2956, 540, 7292, 18441, 607, 519, 3119, 15295, 2599, 540, 519, 4182, 779, 2104, 2208, 267, 4831, 532, 606, 10172, 267, 3500, 21212, 543, 4166, 547, 581, 19394, 3043, 2551, 269, 634, 1007, 7194, 1788, 602, 519, 4182, 786, 1831, 968, 2381, 528, 640, 3043, 892, 538, 476, 14225, 276, 269, 4438, 602, 1032, 267, 16543, 786, 17663, 476, 5392, 269, 280, 2600, 540, 519, 2551, 538, 4334, 547, 476, 2190, 269, 277, 2600, 585, 3571, 3966, 923, 267, 476, 1724, 269, 272, 2600, 585, 17051, 267, 476, 278, 269, 279, 2600, 585, 1306, 2103, 267, 543, 476, 274, 269, 279, 2600, 585, 3818, 24055, 5095, 2507, 563, 16449, 519, 12102, 5095, 267, 519, 6574, 2208, 568, 15810, 585, 3818, 24055, 5095, 267, 1306, 2103, 543, 3571, 3966, 923, 609, 476, 1001, 279, 1700, 18684, 271, 2208, 3928, 540, 476, 11260, 267, 476, 11152, 267, 543, 476, 5952, 2600, 267, 6606, 269, 634, 15810, 2208, 2557, 585, 17051, 568, 476, 4097, 2600, 30818, 634, 15295, 2707, 540, 2208, 9775, 2066, 2516, 269, 1280, 1383, 267, 11776, 8309, 547, 835, 21017, 540, 17104, 2208, 936, 713, 942, 12732, 267, 609, 519, 1964, 30289, 547, 2067, 2333, 630, 1492, 4430, 540, 24570, 936, 7972, 1040, 7324, 1306, 2103, 267, 11776, 8309, 547, 1614, 20453, 540, 519, 15810, 2208, 563, 296, 1589, 570, 650, 3205, 568, 513, 1434, 812, 267, 855, 594, 993, 711, 20994, 547, 1294, 1864, 4734, 607, 14199, 540, 3557, 269, 1261, 729, 1732, 982, 11686, 593, 4914, 3609, 2152, 269, 1261, 4941, 547, 1832, 519, 9459, 6876, 282, 646, 4941, 547, 21907, 609, 3345, 9705, 1354, 11686, 1705, 282, 646, 729, 811, 7255, 827, 2916, 1689, 982, 11686, 267, 1256, 609, 1010, 1401, 343, 517, 22994, 559, 4282, 282, 646, 729, 20916, 547, 581, 27162, 615, 593, 6739, 982, 11686, 282, 646, 1185, 513, 1732, 1745, 585, 5664, 5101, 6214, 982, 11686, 269, 769, 2489, 646, 23163, 513, 811, 2757, 267, 6671, 4914, 3609, 982, 11686, 563, 4002, 519, 824, 1688, 267, 7892, 8271, 646, 3592, 20739, 22486, 519, 3557, 4972, 269, 1261, 8937, 1540, 519, 16034, 540, 519, 14579, 6796, 269, 3487, 569, 14579, 6796, 10492, 2451, 1317, 789, 9969, 7517, 609, 11686, 779, 4914, 3609, 267, 1256, 607, 15645, 730, 676, 570, 650, 3205, 282, 14356, 789, 2451, 1317, 540, 519, 3190, 646, 2813, 3843, 547, 6963, 519, 3557, 4972, 269, 634, 14579, 6796, 568, 2907, 835, 540, 519, 10545, 3906, 538, 519, 2475, 6554, 269, 898, 949, 991, 6963, 267, 855, 570, 650, 3205, 729, 593, 519, 1259, 547, 21006, 621, 609, 513, 5779, 1579, 11232, 269, 9320, 646, 1185, 930, 3983, 2833, 609, 1977, 2377, 817, 625, 950, 646, 729, 2324, 585, 1401, 343, 517, 22994, 559, 563, 763, 14579, 6796, 568, 4440, 513, 7168, 12666, 3919, 267, 855, 602, 779, 711, 9670, 2094, 1082, 540, 519, 10492, 616, 972, 267, 2864, 982, 538, 930, 1164, 1790, 11691, 4357, 5823, 2816, 267, 1317, 789, 1616, 547, 3142, 827, 1158, 4708, 267, 1175, 899, 1034, 7323, 3013, 16311, 1218, 269, 4107, 267, 2705, 267, 616, 8348, 547, 4339, 1394, 2864, 982, 1577, 513, 20935, 2197, 1491, 5413, 540, 721, 269, 1358, 616, 8348, 547, 22036, 23434, 543, 8594, 538, 4057, 610, 18633, 2477, 1472, 519, 1158, 269, 1358, 17330, 1732, 3463, 618, 982, 570, 650, 3205, 5795, 873, 563, 4415, 570, 650, 3205, 779, 6028, 267, 22243, 516, 814, 1044, 930, 2911, 602, 930, 540, 519, 9972, 10492, 949, 2097, 1394, 269, 898, 779, 2009, 267, 855, 594, 1589, 949, 540, 873, 1843, 539, 547, 11686, 779, 4914, 3609, 607, 1454, 607, 789, 1705, 547, 570, 650, 3205, 779, 8098, 328, 626, 13577, 15024, 269, 9578, 267, 789, 786, 723, 6410, 593, 609, 741, 2729, 269, 594, 8969, 602, 1082, 786, 2097, 1394, 267, 2523, 2094, 621, 5654, 899, 25048, 701, 334, 779, 4914, 3609, 6138, 568, 6251, 547, 11686, 779, 982, 570, 650, 3205, 779, 729, 563, 303, 558, 701, 334, 779, 4108, 1995, 949, 1118, 1864, 811, 25091, 547, 519, 14579, 6796, 269, 14199, 2051, 514, 18120, 749, 729, 1360, 5363, 543, 11215, 540, 519, 14579, 6796, 267, 2016, 1010, 1995, 607, 513, 2489, 269, 594, 4126, 602, 568, 519, 2013, 267, 602, 646, 900, 12885, 18120, 749, 779, 8456, 4724, 891, 853, 730, 4972, 10492, 563, 4002, 4924, 745, 2001, 476, 1428, 267, 519, 1715, 3840, 8648, 5206, 606, 21107, 1572, 267, 968, 16031, 269, 11686, 568, 32559, 547, 6576, 779, 21784, 3034, 296, 2219, 602, 1934, 594, 1131, 1265, 1018, 519, 24273, 4250, 689, 6576, 269, 1548, 568, 6576, 779, 3463, 269, 594, 729, 711, 19225, 2989, 676, 519, 21107, 269, 898, 4667, 519, 1292, 3463, 568, 6739, 1199, 323, 1782, 538, 938, 12836, 267, 4352, 621, 849, 19528, 14699, 1996, 12907, 267, 9604, 9388, 267, 543, 1480, 2924, 28407, 269, 901, 568, 513, 2484, 3956, 689, 519, 3463, 676, 10609, 337, 2313, 3832, 341, 602, 968, 2171, 786, 30565, 596, 2223, 543, 16459, 28862, 538, 18010, 269, 898, 1767, 519, 9972, 4987, 8387, 945, 1449, 1881, 1354, 519, 14130, 11106, 9730, 1767, 789, 1185, 711, 1044, 4280, 968, 1729, 1491, 3800, 547, 8396, 6739, 13779, 543, 2149, 11180, 3157, 1848, 1703, 568, 1100, 14336, 566, 602, 519, 28592, 723, 9308, 26203, 519, 13359, 1184, 676, 28892, 13359, 6191, 267, 855, 2864, 602, 519, 28592, 723, 1031, 5859, 18660, 15361, 547, 1489, 930, 10457, 630, 23871, 2794, 543, 9995, 619, 264, 936, 10830, 776, 269, 10557, 2311, 4248, 1131, 581, 10583, 519, 28592, 4121, 689, 1010, 1404, 1504, 563, 763, 29943, 568, 602, 519, 12924, 307, 11099, 602, 9111, 538, 3013, 568, 5393, 17866, 267, 4352, 865, 2484, 594, 723, 711, 4862, 1022, 3743, 2707, 267, 1519, 519, 12924, 307, 267, 2161, 602, 6576, 729, 3743, 585, 6004, 269, 11686, 779, 9550, 269, 13298, 621, 5654, 899, 621, 779, 1175, 11877, 18683, 689, 519, 12924, 307, 543, 824, 24273, 269, 634, 12924, 307, 14659, 621, 568, 519, 1034, 1271, 1957, 538, 519, 1158, 267, 609, 519, 5100, 652, 1065, 13024, 543, 15769, 269, 898, 729, 4628, 11215, 540, 10830, 776, 22735, 267, 1603, 1082, 4930, 543, 9375, 10118, 3232, 1282, 519, 5859, 5885, 1200, 543, 10213, 519, 1977, 17069, 864, 547, 8917, 585, 1200, 269, 1656, 3013, 16053, 873, 269, 1924, 1631, 789, 16620, 513, 19625, 540, 6739, 562, 518, 1091, 9361, 538, 513, 4158, 4055, 538, 853, 269, 22642, 7921, 585, 1200, 2530, 269, 1358, 3409, 891, 1906, 562, 518, 1091, 941, 811, 3532, 982, 519, 642, 13550, 539, 1715, 3840, 8648, 267, 711, 547, 2446, 519, 6115, 5403, 267, 519, 2101, 5121, 267, 543, 1034, 824, 2923, 19093, 630, 21955, 16737, 1916, 16031, 269, 16334, 11839, 814, 967, 1112, 539, 24369, 28592, 585, 9550, 1199, 323, 1782, 269, 634, 12924, 307, 4440, 814, 602, 1082, 1065, 13024, 8720, 6837, 267, 1454, 1447, 519, 6519, 5600, 267, 610, 5859, 13515, 1472, 519, 2197, 269, 3657, 24369, 6739, 21190, 2731, 602, 1454, 811, 3532, 982, 519, 1715, 3840, 8648, 286, 1403, 865, 267, 1287, 519, 28592, 616, 2706, 5443, 267, 543, 519, 12924, 307, 21107, 1058, 723, 1767, 602, 649, 1058, 4250, 519, 28592, 1317, 789, 616, 2706, 5443, 267, 711, 1317, 789, 723, 930, 1434, 21190, 269, 0, 268, 3370, 281, 476, 6734, 9484, 476, 1001, 273, 454, 268, 5784, 281, 476, 25834, 279, 4817, 454, 10674, 2517, 4178, 3052, 1245, 985, 322, 1905, 2593, 2878, 9253, 1154, 18234, 267, 3371, 781, 513, 2110, 17431, 540, 15835, 6658, 543, 16213, 540, 513, 476, 272, 18741, 6945, 630, 3953, 269, 1428, 31684, 744, 684, 806, 264, 18234, 18409, 542, 4446, 269, 7490, 4063, 267, 519, 18234, 729, 24268, 3330, 513, 27948, 27241, 630, 651, 10134, 27488, 856, 264, 1210, 606, 3167, 19460, 269, 634, 4890, 13248, 540, 519, 4496, 568, 2944, 782, 519, 1247, 513, 4412, 2033, 18723, 568, 1025, 5074, 883, 519, 9044 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 22540, 543, 667, 637, 6577, 543, 519, 2160, 540, 595, 860, 928, 666, 1631, 1732, 1353, 543, 1174, 519, 3601, 540, 891, 6419, 3889, 267, 799, 616, 1271, 585, 1312, 2596, 1382, 543, 3156, 563, 2662, 20071, 335, 8962, 616, 606, 4948, 1995, 538, 513, 8602, 8685, 281, 1879, 519, 1216, 568, 27071, 513, 9764, 642, 29448, 568, 4646, 269, 15380, 267, 971, 627, 597, 3149, 616, 2864, 7123, 269, 5381, 2483, 24357, 27913, 2324, 609, 17029, 663, 654, 6856, 693, 519, 2160, 540, 769, 985, 321, 30638, 723, 11567, 952, 543, 875, 3114, 6547, 666, 581, 6766, 676, 6098, 5854, 1049, 29835, 540, 519, 2746, 1218, 269, 1358, 941, 2111, 547, 6542, 602, 29835, 609, 513, 8955, 11237, 1281, 711, 1860, 519, 4398, 540, 513, 3114, 5385, 5114, 543, 602, 519, 9599, 7636, 1895, 6411, 1152, 607, 513, 4715, 1807, 538, 519, 5114, 563, 288, 4749, 1031, 5114, 538, 5214, 7998, 568, 7576, 30858, 18839, 269, 898, 4249, 267, 585, 1383, 267, 606, 1271, 1909, 538, 538, 519, 10282, 540, 1007, 3114, 2483, 18893, 673, 21655, 2636, 14236, 519, 1648, 2497, 543, 6422, 3601, 540, 1950, 7061, 1949, 269, 12824, 689, 519, 2160, 540, 654, 14660, 345, 7921, 1459, 1079, 1007, 4485, 540, 17396, 1079, 8820, 21655, 563, 257, 21607, 606, 29835, 883, 519, 1062, 543, 7747, 875, 621, 27372, 1701, 4340, 547, 21997, 7905, 18578, 5362, 645, 3700, 1676, 267, 713, 568, 519, 3841, 334, 540, 9804, 21655, 19601, 1724, 269, 5881, 269, 1001, 279, 1923, 7926, 5240, 454, 1321, 269, 5881, 269, 1001, 279, 1923, 7926, 5240, 454, 6734, 269, 5881, 269, 1001, 279, 1923, 7926, 5240, 454, 736, 269, 5881, 269, 1001, 279, 1923, 5295, 543, 15379, 7177, 454, 736, 269, 5881, 269, 1001, 279, 1923, 6176, 5303, 454, 736, 269, 5881, 269, 1001, 279, 1923, 10049, 7070 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3710, 513, 2203, 602, 568, 9277, 547, 3406, 585, 2016, 12673, 689, 606, 14133, 6656, 3330, 606, 4950, 11422, 269, 898, 3406, 267, 9060, 543, 28085, 547, 519, 2953, 17835, 269, 594, 723, 1500, 606, 968, 13548, 6818, 892, 1630, 18978, 4756, 865, 602, 606, 17692, 3948, 2488, 519, 585, 1142, 547, 2253, 519, 3406, 2417, 952, 519, 2953, 3239, 1281, 711, 6818, 563, 289, 7473, 267, 950, 621, 723, 3406, 998, 519, 9343, 538, 519, 14133, 6656, 607, 513, 968, 992, 269, 14403, 6745, 739, 12541, 892, 519, 968, 2690, 1142, 892, 8520, 1175, 733, 328, 684, 1132, 269, 6969, 594, 2322, 1540, 538, 519, 968, 9281, 892, 3948, 621, 22646, 9488, 782, 3515, 543, 29860, 856, 540, 519, 585, 1142, 543, 547, 519, 1985, 7084, 267, 855, 1631, 594, 993, 12758, 538, 519, 968, 2690, 1142, 892, 585, 2479, 7498, 1692, 666, 594, 2736, 713, 1510, 1210, 645, 3918, 288, 298, 267, 939, 9476, 713, 1281, 711, 960, 950, 1210, 513, 17692, 3948, 3330, 513, 968, 2690, 1142, 9731, 2690, 1142, 2754, 267, 2754, 476, 272, 267, 273, 267, 274, 3092, 594, 1616, 547, 3406, 593, 1535, 5991, 13246, 540, 3688, 269, 1879, 782, 3688, 616, 22646, 585, 543, 22434, 621, 568, 9277, 547, 1376, 782, 936, 593, 2754, 6746, 476, 273, 269, 594, 723, 1500, 606, 17692, 3948, 950, 10478, 585, 519, 3688, 2094, 711, 782, 3688, 568, 2016, 585, 782, 635, 534, 625, 563, 2005, 1568, 5386, 1510, 519, 17692, 267, 855, 1287, 621, 568, 1100, 4502, 547, 803, 269, 1924, 1775, 991, 547, 2347, 519, 3406, 585, 3688, 18854, 519, 17692, 543, 1287, 1786, 820, 519, 585, 1142, 543, 1847, 4464, 563, 296, 723, 1224, 824, 3584, 267, 855, 1336, 1100, 3070, 547, 713, 563, 12552, 538, 4434, 269, 0, 5719, 2718, 609, 10266, 543, 4911, 518, 693, 2696, 281, 1548, 568, 519, 22560, 21887, 593, 30248, 286, 910, 3487, 476, 273, 454, 305, 822, 4223, 529, 1284, 514, 6199, 24829, 513, 4190, 5813, 689, 1010, 4651, 267, 24497, 962, 320, 752, 990, 1284, 514, 6199, 267, 593, 519, 2956, 540, 11589, 938, 4664, 538, 513, 2635, 543, 3339, 6073, 269, 24497, 962, 320, 752, 990, 1284, 514, 6199, 4280, 2443, 1548, 568, 519, 5048, 540, 519, 14235, 538, 519, 22560, 602, 3081, 267, 968, 341, 685, 344, 573, 558, 589, 9618, 517, 2443, 1496, 7474, 316, 589, 9618, 517, 729, 14980, 2223, 1739, 519, 6727, 2669, 540, 1010, 1079, 14930, 286, 6496, 519, 22560, 991, 547, 1217, 721, 602, 589, 9618, 517, 12794, 298, 334, 1156, 267, 519, 4400, 623, 1845, 339, 585, 519, 3003, 6014, 1004, 267, 1185, 1100, 4890, 20286, 1996, 13201, 1335, 585, 519, 2669, 540, 1010, 1079, 14930, 286, 14348, 649, 2731, 723, 16545, 602, 646, 1131, 723, 1185, 971, 20286, 1996, 13201, 1335, 888, 305, 822, 962, 320, 752, 990, 1284, 514, 6199, 6045, 602, 519, 5048, 540, 713, 14235, 538, 519, 22560, 568, 2965, 513, 1360, 1114, 835, 269, 634, 3339, 1480, 5114, 585, 513, 4651, 2390, 519, 2669, 540, 1010, 1453, 1131, 6157, 581, 547, 3956, 856, 538, 1928, 269, 634, 22560, 6645, 721, 602, 26826, 12794, 298, 334, 1156, 4769, 1406, 2769, 1256, 713, 3339, 1480, 5114, 1317, 267, 607, 519, 25391, 1156, 717, 611, 565, 267, 646, 729, 7683, 968, 517, 1289, 892, 538, 1010, 3028, 585, 519, 6014, 4182, 269, 15526, 3116, 267, 2705, 267, 568, 711, 1152, 4847, 547, 2769, 891, 2010, 540, 3339, 1480, 6547, 540, 1928, 543, 7553, 282, 621, 568, 2965, 2318, 585, 873, 547, 798, 865, 563, 303, 664, 769, 7743, 12763, 454, 4263, 835, 1439, 540, 519, 3929, 8552, 267, 519, 26155, 4673, 630, 27770, 685, 539, 15576, 534, 476, 2767, 321, 264, 29808, 721, 711, 547, 581, 5378, 685, 330, 553, 515, 620, 803, 17010, 586, 1774, 597, 4571, 2967, 2443, 711, 547, 2769, 1928, 585, 519, 2530, 540, 513, 6068, 835, 609, 606, 8515, 2484, 3564, 519, 2343, 269, 2290, 540, 519, 6085, 2456, 267, 609, 519, 11495, 2012, 540, 24497, 1744, 331, 27622, 1649, 12794, 312, 520, 558, 630, 305, 822, 1744, 331, 27622, 267, 519, 5067, 540, 519, 29152, 1070, 6941, 602, 835, 1058, 711, 3172, 1518, 519, 1928, 3564, 922, 3020, 6708, 269, 1306, 13201, 1335, 6645, 721, 2443, 968, 2791, 616, 711, 811, 17519, 585, 1496, 1492, 21549, 316, 982, 594, 993, 3034, 763, 681, 3711, 600, 13798, 1881, 713, 538, 23664, 577, 582, 661, 633, 331, 630, 763, 16572, 540, 631, 712, 940, 476, 1724, 281, 1556, 2187, 2704, 586, 527, 330, 553, 515, 740, 600, 620, 803, 17010, 586, 1774, 597, 4571, 2967, 2443, 695, 685, 2763, 16852, 1295, 327, 6210, 6692, 522, 4594, 267, 642, 685, 5069, 6308, 3279, 685, 518, 693, 345, 15879, 586, 1774, 597, 620, 1295, 327, 6210, 6692, 522, 4594, 2443, 688, 516, 328, 1990, 12317, 512, 6559, 880, 2443, 454, 3080, 1058, 711, 2769, 1928, 585, 519, 21549, 23494, 267, 2094, 1496, 1372, 987, 316, 568, 519, 1259, 540, 519, 1158, 269, 1496, 1103, 1249, 267, 316, 835, 602, 3123, 1928, 547, 5128, 3564, 519, 1259, 540, 519, 1158, 568, 2808, 547, 581, 18174, 880, 3034, 1607, 29611, 568, 711, 693, 782, 827, 18460, 519, 968, 7538, 892, 1928, 540, 581, 516, 29713, 267, 855, 2864, 7446, 547, 3172, 1518, 543, 11694, 519, 1928, 540, 2530, 2443, 968, 341, 685, 5069, 6308, 1406, 599, 324, 597, 693, 345, 15879, 892, 2443, 968, 8619, 6748, 1928, 547, 5128, 892, 2443, 2484, 3564, 519, 2343, 563, 4407, 519, 681, 3711, 600, 17246, 1749, 721, 1934, 547, 2769, 606, 7050, 4110, 540, 1928, 267, 538, 519, 1360, 1985, 10300, 778, 320, 630, 1724, 281, 1321, 264, 646, 1309, 1903, 721, 1996, 711, 31366, 2614, 912, 2108, 298, 565, 11465, 1352, 685, 324, 3626, 5378, 23042, 559, 737, 6557, 334, 1352, 1406, 345, 643, 340, 932, 778, 600, 574, 2443, 688, 516, 328, 1990, 12317, 513, 577, 345, 926, 269, 11875, 320, 586, 604, 577, 611, 267, 642, 685, 344, 573, 698, 267, 642, 685, 344, 604, 1662, 701, 880, 536, 685, 2742, 685, 553, 822, 642, 685, 344, 778, 1794, 528, 536, 1406, 525, 16852, 9366, 16634, 737, 565, 1990, 12317, 561, 685, 327, 778, 514, 693, 345, 15879, 642, 685, 344, 778, 1794, 528, 642, 685, 6614, 328, 685, 528, 11465, 779, 18255, 6737, 2443, 5808, 1197, 1281, 711, 22378, 333, 607, 519, 590, 1137, 26017, 568, 2808, 547, 581, 16970, 269, 13298, 267, 835, 1058, 581, 12922, 543, 7255, 267, 543, 3406, 835, 779, 3527, 267, 543, 2132, 538, 512, 525, 16852, 9366, 2507, 2353, 540, 713, 568, 547, 5965, 13951, 547, 2132, 543, 12687, 909, 689, 835, 779, 3207, 3034, 763, 6240, 538, 713, 2034, 10300, 778, 320, 568, 2731, 519, 1482, 2443, 1175, 607, 519, 4082, 540, 606, 7050, 4110, 540, 1928, 568, 513, 3903, 267, 547, 711, 2769, 519, 1697, 267, 3339, 4110, 540, 1928, 568, 849, 513, 3903, 563, 763, 1744, 592, 2559, 589, 745, 577, 630, 312, 648, 327, 1546, 685, 1695, 476, 4375, 275, 281, 272, 267, 277, 264, 13151, 3307, 569, 18304, 909, 519, 22560, 2070, 540, 1312, 7475, 540, 519, 3929, 8552, 912, 268, 2201, 519, 835, 1688, 2443, 968, 292, 514, 5378, 330, 1662, 514, 620, 554, 877, 527, 586, 1774, 597, 4571, 2967, 2443, 5213, 1406, 1928, 3054, 23494, 585, 519, 21549, 1547, 9232, 454, 268, 536, 269, 1809, 267, 693, 519, 1482, 942, 2443, 968, 298, 565, 11465, 695, 685, 324, 3626, 5378, 23042, 559, 737, 6557, 334, 1352, 1406, 345, 643, 340, 932, 778, 600, 574, 267, 688, 516, 328, 1990, 12317, 513, 577, 345, 732, 328, 2443, 5808, 1197, 1281, 711, 22378, 333, 607, 519, 590, 1137, 26017, 568, 2808, 16970, 3034, 763, 22560, 2306, 14190, 1734, 585, 10266, 454, 3080, 540, 519, 1034, 5363, 2835, 593, 519, 1888, 540, 586, 1170, 584, 574, 2443, 968, 572, 3164, 2591, 543, 7965, 538, 938, 2729, 892, 1107, 568, 10435, 23281, 540, 22206, 1359, 269, 898, 568, 1759, 593, 513, 3126, 540, 12909, 689, 24497, 962, 6308, 577, 752, 17340, 345, 1676, 593, 519, 3390, 540, 586, 1170, 584, 574, 269, 1261, 5795, 891, 12909, 1247, 18460, 18068, 585, 519, 2860, 602, 646, 6038, 5293, 2476, 689, 563, 3891, 6045, 602, 1082, 2959, 5815, 519, 8417, 602, 17194, 814, 547, 938, 4664, 269, 1280, 1383, 267, 519, 22560, 17767, 602, 1282, 5712, 540, 3665, 1928, 543, 7092, 630, 3697, 513, 4807, 1282, 519, 4332, 1184, 264, 649, 949, 957, 538, 513, 6073, 602, 1281, 711, 2992, 938, 1898, 1582, 269, 898, 4061, 2488, 513, 1496, 577, 3430, 582, 316, 5356, 1496, 1721, 1200, 547, 3142, 538, 519, 2142, 527, 12794, 300, 1731, 323, 1662, 316, 547, 948, 1200, 4894, 519, 4539, 540, 1200, 4664, 563, 1103, 2489, 267, 519, 22560, 1281, 711, 3180, 835, 4628, 18177, 585, 519, 642, 3298, 646, 1496, 528, 1352, 316, 2306, 896, 2604, 269, 717, 1673, 6487, 602, 896, 5918, 816, 972, 568, 2370, 513, 1268, 666, 798, 547, 1852, 1496, 26132, 316, 4664, 269, 1284, 616, 711, 4397, 547, 581, 2111, 547, 7903, 519, 1928, 11735, 267, 5431, 602, 513, 2362, 3483, 6818, 267, 543, 3180, 6000, 620, 334, 1993, 269, 2334, 1131, 581, 32601, 269, 717, 1673, 267, 538, 1198, 267, 6645, 721, 267, 968, 1103, 8090, 540, 1928, 267, 596, 786, 561, 1662, 856, 282, 596, 786, 2161, 1919, 267, 543, 596, 949, 1256, 581, 11613, 18617, 693, 602, 4090, 602, 789, 616, 3020, 269, 1809, 950, 519, 1928, 7449, 1938, 267, 596, 786, 723, 519, 6418, 4708, 799, 786, 1450, 596, 547, 5905, 513, 4514, 851, 540, 3054, 543, 8275, 602, 1018, 596, 1767, 568, 711, 519, 1259, 596, 2731, 1745, 267, 602, 596, 798, 711, 3494, 1018, 596, 1767, 269, 1656, 1496, 294, 1673, 3081, 267, 316, 594, 1810, 1406, 1491, 1346, 6898, 1500, 538, 519, 31462, 525, 540, 7920, 1928, 607, 8204, 596, 3034, 4407, 519, 1007, 3993, 1281, 2154, 513, 737, 777, 23022, 585, 1018, 1352, 1767, 267, 519, 1249, 568, 602, 519, 22560, 786, 5944, 2488, 713, 7271, 585, 1200, 269, 1284, 1058, 4061, 711, 7623, 938, 7965, 676, 10874, 908, 6000, 610, 4743, 22350, 16944, 563, 2171, 6513, 938, 1378, 32185, 454, 4263, 519, 1482, 942, 267, 649, 616, 711, 4625, 1379, 1652, 547, 1852, 938, 4664, 269, 7743, 569, 25194, 938, 3510, 998, 7214, 9355, 267, 3226, 519, 6284, 602, 13201, 1335, 568, 711, 2921, 20947, 1996, 721, 998, 938, 586, 1170, 584, 574, 267, 666, 948, 721, 11104, 3585, 269, 28214, 14460, 676, 13201, 1335, 666, 3006, 581, 1256, 811, 2352, 982, 519, 2168, 1928, 543, 7092, 3294, 563, 8855, 532, 602, 519, 4493, 540, 782, 586, 1170, 584, 574, 568, 717, 1673, 779, 2648, 585, 721, 630, 553, 2352, 607, 602, 949, 581, 547, 1294, 1070, 543, 602, 1454, 540, 1018, 649, 7985, 568, 796, 8588, 547, 938, 2250, 9073, 267, 666, 1683, 513, 3106, 2121, 547, 2061, 721, 689, 14156, 1863, 1922, 16226, 856, 540, 1852, 563, 1103, 2474, 540, 1201, 1090, 532, 875, 649, 2070, 519, 7965, 538, 938, 2729, 267, 24497, 17340, 345, 1676, 15091, 519, 3017, 1063, 1697, 5288, 269, 16789, 2055, 912, 268, 1284, 991, 547, 2307, 2055, 547, 717, 1673, 267, 711, 2055, 1996, 717, 1673, 269, 1306, 6362, 968, 3963, 9495, 568, 21494, 543, 4636, 952, 621, 568, 547, 968, 9080, 613, 717, 1673, 2223, 855, 568, 2318, 267, 543, 1256, 1898, 267, 952, 621, 786, 948, 721, 1174, 938, 2078, 609, 717, 1673, 563, 268, 536, 269, 19457, 938, 1928, 609, 717, 1673, 267, 3226, 950, 649, 1810, 1406, 4628, 1174, 621, 267, 786, 1106, 513, 6125, 540, 3972, 543, 3142, 13924, 883, 938, 2729, 1454, 811, 7184, 982, 649, 2479, 1223, 676, 7214, 1797, 4805, 563, 268, 524, 269, 634, 4222, 540, 938, 2078, 609, 717, 1673, 5673, 593, 938, 3972, 602, 717, 1673, 6499, 1152, 1018, 568, 1655, 585, 721, 269, 2334, 3972, 666, 1152, 1020, 267, 2705, 267, 952, 649, 1810, 1406, 3970, 938, 2078, 609, 717, 1673, 547, 1018, 649, 616, 2111, 547, 4628, 10146, 563, 305, 822, 17340, 345, 1676, 6045, 602, 561, 4770, 856, 1996, 717, 1673, 585, 3571, 9228, 967, 29924, 547, 938, 1928, 666, 2965, 2333, 519, 1928, 269, 1403, 717, 1673, 941, 5963, 1202, 17567, 547, 938, 1928, 630, 294, 1673, 17246, 573, 1070, 938 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 960, 543, 3688, 666, 581, 1031, 547, 1118, 519, 13844, 540, 2147, 4502, 2663, 593, 563, 290, 13072, 268, 3286, 23194, 1519, 519, 27300, 540, 960, 543, 3688, 1063, 6105, 616, 1634, 607, 4308, 23194, 269, 2755, 519, 11460, 568, 1419, 2404, 609, 11315, 610, 11174, 1514, 9753, 267, 891, 23194, 616, 32047, 3238, 676, 897, 1601, 531, 3906, 543, 2043, 547, 4309, 6006, 607, 513, 4123, 11325, 585, 3063, 267, 1447, 267, 610, 25031, 7221, 269, 1280, 1383, 267, 1282, 519, 476, 3192, 271, 338, 267, 623, 10134, 328, 10870, 5549, 269, 654, 550, 883, 606, 11460, 8195, 609, 519, 6739, 2229, 547, 4123, 897, 320, 21360, 585, 853, 565, 747, 333, 11535, 642, 617, 6390, 269, 769, 476, 1960, 271, 267, 519, 1544, 729, 21401, 856, 547, 1269, 274, 5479, 543, 3769, 476, 1015, 6739, 32472, 9635, 602, 623, 10134, 328, 10870, 682, 1078, 610, 4421, 711, 1279, 1310, 519, 8223, 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 ]
[ 730, 14384, 267, 610, 538, 824, 1913, 267, 1152, 835, 30756, 514, 568, 2479, 5116, 3330, 519, 1101, 1212, 332, 566, 12068, 693, 1022, 835, 942, 563, 4263, 519, 12032, 540, 713, 3355, 5123, 540, 519, 1212, 332, 566, 1184, 519, 3788, 616, 882, 11343, 547, 519, 2034, 12068, 547, 4894, 1022, 11849, 689, 519, 30756, 514, 3294, 269, 4495, 713, 814, 1044, 6192, 519, 24790, 540, 519, 21549, 616, 5116, 883, 513, 9023, 26745, 269, 1879, 22799, 267, 17285, 9115, 630, 7945, 607, 14382, 12330, 267, 30756, 514, 18969, 3092, 264, 616, 6569, 267, 6394, 543, 954, 1042, 1369, 519, 12406, 540, 519, 1212, 332, 1807, 1756, 563, 290, 8145, 730, 3788, 610, 607, 1127, 454, 290, 8145, 730, 3788, 616, 4122, 5219, 547, 607, 834, 10449, 2668, 1717, 267, 20248, 972, 616, 1100, 607, 1127, 267, 1018, 616, 2451, 616, 519, 17866, 18287, 1881, 5642, 15998, 563, 763, 1212, 332, 730, 3788, 616, 11843, 547, 513, 16267, 547, 2569, 519, 5642, 15998, 547, 513, 5386, 11491, 2544, 1826, 11007, 799, 538, 2490, 568, 5116, 538, 513, 20177, 8708, 269, 634, 2012, 6676, 543, 606, 7114, 6003, 616, 7923, 563, 763, 8708, 8383, 919, 782, 540, 519, 1212, 332, 730, 3788, 269, 769, 519, 8966, 2680, 602, 606, 11849, 8708, 568, 13385, 547, 3180, 782, 540, 519, 607, 1127, 267, 606, 3063, 8708, 568, 1031, 563, 2026, 327, 11149, 616, 4371, 2394, 5528, 616, 4607, 689, 519, 1920, 610, 32358, 269, 1547, 634, 607, 1127, 616, 1287, 267, 1641, 547, 2657, 22769, 267, 18808, 609, 2687, 547, 519, 6044, 2016, 563, 19675, 1100, 5528, 581, 4607, 1369, 513, 10257, 942, 630, 32191, 476, 1321, 3275, 1070, 538, 1899, 609, 2657, 22769, 267, 796, 13094, 1212, 332, 730, 3788, 616, 954, 1042, 1369, 519, 12406, 540, 519, 1212, 332, 1807, 1756, 269, 0, 2414, 2149, 2933, 267, 930, 2831, 6385, 1689, 2681, 950, 741, 5054, 1689, 267, 855, 669, 877, 548, 976, 1689, 4778, 538, 8966, 2081, 950, 789, 2170, 609, 824, 669, 877, 548, 976, 269, 14151, 3557, 2160, 3173, 723, 4362, 602, 891, 2681, 2242, 1810, 1405, 4755, 834, 719, 6361, 7308, 15918, 826, 257, 2443, 3079, 267, 789, 6655, 1114, 2010, 540, 1344, 1282, 1271, 1514, 4205, 563, 3008, 308, 3173, 723, 4362, 602, 2681, 2242, 538, 669, 877, 548, 976, 6655, 1114, 2010, 540, 1344, 1282, 1271, 1514, 4205, 269, 634, 28499, 262, 1560, 26145, 543, 2212, 2681, 902, 616, 3226, 1271, 1282, 733, 3949, 936, 8513, 543, 8951, 563, 290, 13072, 281, 23729, 534, 7454, 454, 2690, 1383, 267, 950, 5256, 669, 877, 548, 976, 4161, 1142, 824, 585, 8513, 610, 513, 4775, 267, 741, 7801, 3587, 17321, 543, 1454, 811, 7920, 269, 631, 2297, 602, 4159, 17321, 26145, 950, 789, 616, 10728, 616, 811, 2693, 547, 1935, 741, 18545, 267, 543, 1346, 602, 3035, 17321, 2212, 4778, 616, 811, 2693, 547, 3094, 24515, 269, 4746, 267, 875, 3533, 741, 9843, 1689, 2681, 568, 606, 1271, 27667, 540, 799, 669, 877, 548, 517, 786, 3094, 513, 1236, 3305, 880, 563, 763, 2164, 540, 519, 1353, 616, 3370, 2228, 2221, 538, 519, 4760, 10334, 16707, 563, 2419, 877, 548, 976, 3335, 723, 16889, 4778, 602, 2039, 689, 6960, 547, 3039, 267, 609, 23456, 540, 5835, 267, 855, 1142, 669, 877, 548, 517, 814, 2189, 24795, 269, 4438, 513, 16311, 267, 519, 28499, 1397, 6505, 586, 749, 3298, 267, 24453, 267, 16719, 543, 2881, 31309, 2478, 269, 21452, 267, 950, 519, 669, 877, 548, 976, 4951, 11325, 741, 26145, 689, 513, 3845, 543, 4553, 602, 4159, 609, 513, 834, 3650, 6823, 257, 1935, 1354, 8396, 267, 519, 1271, 2681, 6786, 593, 519, 4174, 6244, 2694, 540, 519, 1560, 543, 2212, 941, 20020, 18050, 563, 257, 3528, 1210, 6505, 2681, 6786, 543, 20427, 4657, 741, 2168, 5920, 267, 519, 669, 877, 548, 976, 262, 4703, 1831, 3592, 899, 513, 3915, 4580, 2443, 519, 16771, 540, 513, 4339, 568, 1419, 4956, 1354, 789, 2965, 1118, 2168, 3346, 2437, 700, 580, 517, 1767, 269, 834, 763, 16771, 568, 519, 835, 602, 3123, 922, 18545, 547, 18956, 269, 2755, 3006, 789, 798, 4497, 538, 2168, 8396, 267, 891, 733, 3949, 616, 1360, 2110, 2443, 2947, 547, 476, 1428, 7643, 269, 2859, 1419, 982, 711, 267, 741, 2681, 10525, 1439, 519, 16311, 1354, 789, 1256, 1205, 3323, 4799, 1607, 568, 519, 1101, 1353, 540, 922, 2186, 269, 634, 1382, 2319, 3576, 5961, 540, 2681, 4441, 543, 6059, 519, 8417, 540, 1114, 2584, 648, 1061, 832, 538, 741, 12514, 269, 3973, 267, 789, 1031, 1344, 593, 519, 17550, 543, 8417, 540, 519, 2584, 648, 1061, 832, 540, 669, 877, 548, 976, 267, 543, 941, 2111, 547, 2268, 519, 4778, 2965, 2938, 676, 519, 28499, 269, 9282, 713, 1505, 814, 5892, 1044, 1031, 547, 22945, 11979, 630, 4875, 4474, 264, 32442, 267, 713, 1353, 568, 519, 1101, 547, 22945, 4028, 2681, 1689, 1247, 6220, 519, 3308, 22740, 8481, 540, 519, 2831, 896, 1353, 563, 2467, 616, 5111, 476, 8182, 2249, 540, 669, 877, 548, 976, 538, 519, 1158, 269, 26890, 6150, 669, 877, 548, 976, 630, 2419, 877, 548, 517, 1608, 344, 696, 7806, 639, 264, 616, 5065, 547, 519, 26768, 18686, 1107, 4481, 29874, 543, 18142, 17936, 269, 1358, 616, 9631, 16622, 5387, 543, 2661, 9247, 22072, 2729, 4849, 950, 20282, 269, 3509, 669, 877, 548, 976, 616, 693, 1390, 1981, 267, 607, 9552, 540, 741, 9249, 568, 9648, 693, 24034, 3928, 563, 763, 1353, 729, 14102, 676, 606, 6789, 308, 15870, 288, 9886, 543, 676, 1367, 13384, 832, 563, 763, 3427, 540, 5020, 7070, 568, 606, 4081, 1770, 540, 6789, 308, 781, 5441, 540, 27565, 8551, 543, 7070, 563, 306, 18588, 2274, 6387, 1923, 31823, 2336, 5415, 6090, 616, 3742, 538, 1164, 26024, 22959, 454, 866, 269, 4905, 269, 1001, 279, 1923, 28039, 17430, 3832, 26179, 8862, 559, 3559, 916, 268, 26536, 28059, 12844, 333, 454, 1692, 2371, 1294, 1769, 454, 866, 269, 4905, 269, 1001, 279, 1923, 15751, 6441, 644, 342, 12127, 268, 26536, 28059, 6154, 756, 4026, 708, 6601, 529, 326, 879, 454, 4002, 519, 1259, 547, 606, 10995, 8047, 267, 21575, 689, 769, 985, 321, 30638, 543, 21499, 1459, 606, 5841, 8665, 602, 8238, 558, 3585, 6272, 7061, 6901, 269, 769, 3355, 6901, 267, 519, 1062, 814, 10446, 630, 516, 264, 29171, 2642, 8097, 2553, 602, 616, 19951, 3044, 538, 2413, 7061, 9804, 20682, 269, 901, 2982, 875, 6191, 1223, 1404, 513, 811, 3860, 1909, 538, 1382, 538, 519, 2104, 563, 2171, 4163, 16389, 538, 938, 22836, 267, 519, 10754, 616, 12297, 1540, 609, 10859, 22052, 26127, 6517, 267, 855, 538, 519, 1382, 8047, 6901, 616, 1869, 1373, 2966, 676, 2483, 1432, 6087, 9211, 547, 581, 11843, 24847, 267, 585, 1383, 1282, 15591, 286, 1323, 15834, 2319, 540, 3173, 814, 5249, 856, 519, 3877, 540, 875, 2483, 2690, 519, 1101, 942, 267, 3744, 723, 10502, 6027, 519, 2500, 5122, 5279, 540, 513, 2582, 11140, 538, 3070, 269, 901, 4909, 5813, 540, 606, 590, 10064, 293, 7905, 1223, 849, 17362, 519, 1259, 585, 2104, 2564, 26129, 563, 16978, 3740, 5279, 568, 835, 540, 519, 1883, 3601, 602, 2636, 6675, 547, 2170, 269, 5020, 3294, 5673, 593, 713, 7613, 281, 1082, 6211, 3157, 4125, 2483, 4263, 519, 808, 4488, 2622, 1290, 22683, 8058, 538, 8303, 538, 4728, 476, 1001, 279, 267, 519, 29163, 4659, 585, 21558, 5303, 14889, 307, 786, 581, 2519, 593, 519, 5767, 3466, 543, 10124, 538, 8955, 20619, 540, 29322, 269, 7324, 824, 1919, 267, 3173, 693, 519, 1630, 1054, 3838, 609, 519, 589, 659, 1156, 4741, 585, 6715, 13577, 8752, 7076, 13870, 630, 288, 313, 299, 264, 786, 6542, 875, 22795, 666, 581, 1031, 585, 11836, 267, 1785, 1005, 267, 5969, 543, 17656, 12432, 2326, 563, 5591, 824, 2872, 814, 13631, 607, 1454, 1857, 3007, 547, 12432, 2326, 607, 519, 16669, 2872, 267, 799, 2059, 609, 519, 23825, 2872, 568, 513, 9920, 2483, 14722, 693, 19519, 4659, 540, 5303, 630, 27717, 14623, 15306, 264, 543, 1677, 327, 18602, 2160, 723, 2919, 1164, 7779, 717, 23859, 13423, 32681, 8874, 543, 18928, 11567, 741, 7542, 19172, 10431, 543, 7542, 11424, 3601, 269, 1358, 849, 7152, 519, 4055, 27529, 11275, 665, 777, 659, 13330, 2360, 540, 891, 717, 23859, 6094, 8874, 563, 11372, 11717, 549, 545, 2326, 1397, 11275, 1227, 9141, 7542, 19172, 10431, 640, 269, 1358, 616, 19788, 2810, 3007, 1317, 540, 741, 4241, 3601, 971, 607, 2483, 5400, 269, 4905, 269, 1001, 279, 1923, 7926, 5240, 454, 1556, 269, 1321, 269, 1001, 278, 1923, 7926, 5240, 454, 5400, 269, 1321, 269, 1001, 278, 1923, 7926, 5240, 454, 866, 269, 4905, 269, 1001, 279, 1923, 10049, 7070, 454, 866, 269, 4905, 269, 1001, 279, 1923, 2657, 543, 6925, 454, 866, 269, 4905, 269, 1001, 279, 1923, 8212, 543, 18395 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 941, 772, 269, 590, 269, 13108, 16996, 342, 664, 781, 29982, 269, 15117, 9061, 23700, 3627, 2701, 653, 731, 267, 3627, 590, 29229, 267, 8361, 4354, 26385, 267, 3627, 26858, 941, 9576, 13108, 16996, 342, 664, 781, 29982, 269, 1703, 616, 513, 19625, 540, 16996, 342, 1622, 543, 16996, 342, 664, 781, 29982, 538, 3332, 282, 519, 16996, 342, 664, 538, 5261, 9956, 781, 634, 7843, 335, 652, 568, 513, 3844, 1915, 538, 519, 6679, 6429, 267, 799, 3217, 1747, 20829, 513, 6928, 693, 4262, 267, 5526, 1586, 538, 519, 3803, 6429, 269, 14977, 874, 3019, 676, 9478, 1230, 2784, 814, 513, 562, 600, 6804, 16996, 342, 664, 945, 6645, 18279, 5839, 2662, 597, 337, 540, 513, 834, 331, 2794, 257, 540, 2367, 2469, 936, 4580, 1282, 519, 8445, 540, 519, 7088, 282, 519, 1915, 9291, 7585, 560, 599, 538, 31408, 543, 590, 29229, 781, 7574, 18792, 670, 269, 631, 269, 590, 269, 623, 2088, 1150, 568, 4244, 569, 5219, 547, 607, 513, 834, 321, 657, 262, 684, 257, 543, 513, 834, 2692, 1846, 342, 664, 781, 19898, 1701, 6271, 16996, 342, 664, 689, 3332, 568, 590, 1889, 324, 689, 8834, 7754, 269, 7083, 1635, 1258, 1185, 513, 1715, 11398, 1633, 2915, 3957, 4425, 1846, 342, 664, 269, 1635, 1258, 1185, 513, 15224, 1500, 585, 1864, 693, 1715, 560, 1737, 30745, 282, 519, 476, 5002, 278, 17189, 575, 15402, 3209, 634, 16996, 540, 519, 3794, 3317, 29336, 580, 676, 5261, 16593, 32095, 2471, 517, 2934, 519, 1915, 540, 519, 6928, 21485, 338, 968, 2692, 21485, 15711, 892, 607, 606, 1271, 4759, 540, 519, 12284, 543, 513, 2123, 3659, 547, 519, 15669, 563, 5226, 541, 3410, 2120, 568, 519, 2031, 515, 454, 289, 3121, 568, 513, 19384, 4244, 4224, 6512, 689, 16114, 657, 267, 590, 14244, 6754, 334, 267, 7768, 676, 5449, 2818, 540, 24898, 9466, 12789, 269, 543, 589, 645, 4545, 320, 269, 634, 6512, 729, 22885, 538, 4571, 268, 1001, 275, 676, 519, 6967, 2818, 540, 589, 645, 4545, 320, 267, 4646, 538, 4989, 540, 519, 3105, 1032, 676, 5449, 2818, 540, 24898, 9466, 12789, 269, 1310, 519, 2669, 540, 922, 13047, 626, 932, 528, 14244, 269, 2871, 10560, 626, 270, 548, 611, 13047, 626, 16205, 14244, 267, 18369, 626, 4477, 6511, 834, 299, 6511, 257, 14466, 7236, 543, 14941, 1067, 19839, 334, 3400, 557, 1729, 2319, 539, 909, 547, 3136, 1818, 2575, 267, 19796, 6883, 741, 1007, 1895, 834, 289, 3121, 257, 538, 4704, 1312, 547, 519, 13099, 531, 13032, 543, 519, 13021, 1031, 547, 6461, 6510, 621, 267, 519, 13032, 320, 269, 3400, 557, 1729, 781, 3251, 593, 519, 6512, 729, 2110, 24331, 1498, 267, 607, 646, 729, 14376, 547, 6443, 1402, 4224, 6512, 22367, 651, 543, 729, 8719, 676, 1656, 28584, 623, 3907, 574, 269, 769, 5437, 476, 1001, 275, 645, 3121, 5950, 715, 14244, 6480, 32115, 1924, 345, 514, 327, 657, 267, 998, 1546, 1188, 29171, 269, 8535, 7044, 941, 1500, 585, 834, 291, 4680, 717, 580, 656, 525, 257, 543, 834, 302, 3752, 5548, 320, 5696, 559, 17924, 2580, 538, 519, 1739, 1032, 789, 1500, 741, 14634, 2773, 693, 700, 3326, 777, 531, 5622, 5633, 269, 769, 476, 1001, 277, 267, 1656, 28584, 6154, 26320, 267, 945, 3812, 715, 14244, 6480, 32115, 1924, 345, 514, 327, 657, 267, 8678, 873, 607, 513, 2034, 13176, 626, 269, 769, 2904, 476, 1001, 280, 519, 6512, 5950, 7464, 573, 1228, 9255, 2692, 563, 1103, 5412, 789, 9307, 593, 741, 4013, 17749, 2272, 519, 22576, 540, 700, 6511, 14466, 7236, 269, 3057, 1723, 2826, 1729, 1107, 1291, 4938, 1023, 267, 3167, 13176, 1656, 28584, 623, 3907, 574, 1107, 27120, 267, 10726, 7901, 532, 1656, 28584, 6154, 26320, 1107, 3167, 13176, 19839, 334, 3400, 557, 1729, 1107, 27120, 4477, 6511, 834, 299, 6511, 257, 14466, 7236, 1107, 18369, 13176, 24722, 3896, 454, 23330, 566, 14730, 1817, 572, 729, 606, 18086, 1996, 519, 10854, 338, 600, 19660, 9099, 15213, 674, 16146, 9250, 676, 519, 20331, 17086, 540, 519, 13372, 593, 5130, 476, 2767, 267, 476, 1001, 275, 269, 634, 8165, 13264, 1175, 607, 519, 3339, 1436, 24509, 540, 519, 10854, 338, 600, 19660, 17563, 15716, 729, 9896, 1063, 519, 27000, 2229, 543, 519, 5651, 334, 9099, 8644, 3130, 13571, 269, 2051, 269, 667, 6506, 517, 19555, 657, 334, 267, 22557, 2006, 540, 519, 8136, 779, 476, 277, 628, 32691, 10406, 267, 10645, 602, 519, 18086, 729, 711, 1644, 547, 519, 19142, 540, 519, 24509, 540, 519, 4708, 14097, 543, 1767, 602, 519, 2229, 814, 1044, 23712, 609, 519, 631, 6579, 293, 547, 10131, 606, 18086, 1996, 519, 645, 9281, 293, 1354, 519, 19142, 540, 519, 24509, 282, 519, 2229, 18086, 729, 851, 540, 606, 4674, 547, 10654, 1585, 645, 9281, 293, 3401, 1519, 922, 6205, 267, 772, 3387, 571, 918, 6737, 585, 1585, 10963, 269, 634, 27000, 2817, 17318, 814, 9783, 513, 15549, 540, 10654, 585, 1585, 645, 9281, 293, 3401, 269, 19555, 657, 334, 4330, 519, 18086, 607, 513, 834, 18721, 11268, 257, 4674, 676, 2229, 4229, 282, 519, 18086, 568, 851, 540, 17434, 1520, 670, 665, 17434, 11059, 6828, 267, 513, 4745, 4674, 676, 519, 27000, 2229, 543, 519, 631, 6579, 293, 547, 9004, 1876, 1652, 2609, 689, 631, 6579, 293, 2950, 563, 24589, 2089, 710, 4108, 9250, 606, 25044, 4323, 593, 645, 9281, 293, 9072, 609, 476, 10755, 2173, 332, 875, 6308, 619, 269, 634, 4108, 5342, 513, 1009, 686, 7719, 269, 2311, 2547, 476, 736, 645, 9281, 293, 2818, 941, 7166, 2687, 547, 519, 2229, 269, 645, 9281, 293, 22557, 17367, 267, 26512, 16700, 787, 631, 4821, 17792, 269, 645, 9281, 293, 22557, 2006, 267, 26512, 16700, 787, 631, 4821, 1767, 267, 646, 1767, 269, 1261, 1767, 602, 519, 2229, 8952, 11488, 8185, 268, 28534, 4229, 547, 741, 2950, 593, 799, 646, 1767, 4229, 519, 645, 9281, 293, 547, 1427, 531, 5573, 282, 519, 645, 9281, 293, 6499, 513, 834, 14259, 697, 547, 519, 1448, 257, 543, 834, 29715, 257, 4708, 19908, 3379, 547, 519, 16395, 1063, 519, 27000, 6554, 543, 519, 631, 6579, 293, 267, 2687, 547, 519, 22557, 2006, 269, 631, 4821, 3773, 269, 2051, 667, 6506, 517, 19555, 657, 334, 267, 22557, 2006, 540, 519, 476, 277, 628, 32691, 10406, 267, 5828, 1524, 519, 645, 9281, 293, 781, 7662, 585, 16395, 543, 1767, 602, 519, 645, 9281, 293, 1590, 1101, 3068, 7803, 10997, 1996, 873, 269, 700, 339, 269, 2051, 269, 10548, 517, 2098, 698, 8403, 267, 20331, 17086, 1857, 12602, 5604, 8783, 1767, 602, 2229, 4229, 814, 25868, 693, 2547, 2947, 7580, 645, 9281, 293, 13122, 267, 646, 4857, 519, 1739, 6753, 269, 634, 25096, 2687, 547, 2229, 4229, 2882, 476, 7871, 645, 9281, 293, 25881, 267, 1519, 476, 274, 1126, 7980, 543, 835, 17199, 689, 519, 27000, 2229, 2427, 563, 763, 645, 9281, 293, 5170, 547, 20912, 269, 634, 2229, 9709, 547, 1439, 519, 18086, 593, 5988, 476, 272, 267, 519, 2034, 21120, 1305, 676, 519, 17434, 1520, 670, 665, 17434, 11059, 6828, 269, 645, 9281, 293, 22557, 2006, 26512, 16700, 787, 631, 4821, 1767, 602, 789, 8731, 3481, 606, 6186, 1819, 10986, 15298, 282, 519, 22557, 2006, 1767, 602, 789, 666, 1405, 8415, 519, 6174, 1813, 547, 519, 3668, 540, 9897, 538, 741, 1858, 865, 789, 4956, 547, 23290, 519, 6174, 1310, 9427, 519, 476, 2004, 23343, 9200, 3684, 7784, 7923, 547, 519, 6174, 6554, 4229, 9676, 519, 1292, 1193, 517, 724, 1245, 540, 519, 645, 9281, 293, 538, 4446, 836, 599, 717, 9017, 267, 26588, 858, 17166, 323, 7431, 18771, 777, 3873, 269, 634, 9206, 540, 519, 13372, 729, 6659, 693, 519, 5449, 645, 9281, 293, 3786, 282, 519, 20331, 17086, 540, 519, 13372, 18005, 8694, 20491, 14730, 1817, 572, 269, 2051, 269, 667, 6506, 517, 19555, 657, 334, 267, 476, 277, 628, 32691, 10406, 22557, 2006, 267, 10645, 602, 519, 2229, 4229, 814, 22485, 519, 27907, 540, 645, 9281, 293, 25881, 1739, 519, 7001, 540, 693, 2547, 2185, 7580, 645, 9281, 293, 13122, 282, 519, 4108, 10294, 269, 634, 4108, 3773, 602, 741, 1876, 11268, 4238, 786, 3136, 5103, 519, 6101, 3932, 540, 20491, 14730, 1817, 572, 563, 2467, 568, 1100, 4013, 21533, 602, 589, 1067, 559, 772, 3387, 571, 918, 6737, 267, 6205, 540, 519, 645, 9281, 293, 729, 7166, 610, 9676, 1282, 519, 4108, 5106, 269, 476, 280, 267, 275, 4792, 3885, 610, 476, 3374, 267, 31172, 1004, 941, 19774, 1813, 547, 519, 804, 10449, 267, 609, 1034, 540, 873, 4947, 689, 26588, 858, 17166, 323, 7431, 18771, 777, 3873, 267, 14076, 1695, 11370, 18885, 267, 13096, 340, 13100, 836, 538, 7395, 340, 785, 3570, 334, 543, 623, 1731, 527, 538, 3345, 595, 582, 629, 6737, 269, 2368, 2127, 1141, 519, 19774, 7606, 949, 991, 547, 581, 11222, 4106, 730, 282, 519, 4108, 814, 12247, 539, 834, 14588, 9037, 16646, 257, 540, 4299, 2127, 1310, 519, 3932, 540, 519, 4108, 18086, 269, 898, 729, 4080, 602, 1614, 1126, 7980, 540, 519, 645, 9281, 293, 941, 7166, 1282, 519, 4238, 282, 519, 27000, 2229, 28715, 519, 4080, 946, 540, 1126, 7980, 676, 519, 645, 9281, 293, 607, 513, 18670, 540, 1480, 2924, 454, 295, 629, 756, 27062, 7813, 1634, 607, 13206, 756, 18404, 549, 267, 568, 513, 9031, 328, 13564, 10706, 540, 18230, 4871, 13206, 756, 7813, 17985, 2098, 584, 747, 269, 898, 568, 1759, 538, 9031, 282, 519, 4871, 13604, 3323, 922, 4238, 269, 898, 729, 8547, 676, 519, 15011, 25428, 8932, 13206, 756, 1920, 607, 2229, 3323, 3051, 26494, 540, 12948, 5823, 538, 9031, 269, 769, 476, 1220, 277, 267, 13206, 756, 7813, 17985, 2098, 584, 747, 781, 9031, 4238, 941, 24673, 883, 27062, 7813, 17290, 543, 13604, 26948, 607, 13206, 756, 27062, 7813, 17290, 269, 769, 476, 1001, 276, 267, 13206, 756, 18404, 549, 4465, 7489, 4886, 7813, 8366, 282, 519, 2385, 4871, 267, 13206, 756, 7813, 17985, 2098, 584, 747, 814, 4238, 538, 15173, 15158, 267, 2136, 6259, 2506, 29521, 267, 3162, 4000, 267, 2136, 8003, 543, 4516, 454, 22479, 7578, 8606, 916, 267, 5549, 269, 729, 513, 4670, 2504, 2754, 8547, 538, 476, 1960, 271, 543, 2212, 32483, 1229, 538, 11968, 13353, 267, 4993, 269, 4813, 539, 676, 31297, 2861, 1546, 344, 327, 548, 5174, 320, 518, 9012, 15579, 902, 267, 7167, 7578, 8606, 916, 27648, 519, 2504, 7936, 547, 7167, 7578, 2271, 331, 269, 799, 2027, 2213, 538, 4914, 3892, 269, 8625, 267, 7167, 7578, 8606, 916, 543, 7167, 7578, 2271, 331, 269, 7358, 730, 513, 3742, 2504, 543, 3892, 13398, 4171, 4891, 3769, 17629, 2289, 3930, 267, 4436, 2733, 12460, 267, 1230, 10811, 542, 8606, 916, 267, 1977, 2504, 6186, 267, 1230, 10811, 542, 1977, 9012, 5549, 269, 645, 2958, 2006, 5174, 320, 518, 8605, 687, 267, 4989, 268, 3519, 10811, 542, 8606, 916, 269, 7167, 7578, 8606, 916, 267, 5549, 269, 4646, 513, 1269, 272, 269, 274, 321, 11669, 11601, 3801, 585, 5450, 549, 8566, 1245, 342, 2106, 5336, 9707, 270, 18197, 20551, 538, 476, 1960, 278, 269, 7167, 7578, 8606, 916, 543, 7167, 7578, 4139, 2754, 21246, 1023, 941, 3743, 585, 519, 14104, 267, 543, 5924, 2504, 267, 16565, 540, 2407, 3486, 610, 16496, 16857, 2924, 585, 519, 1739, 5163, 5961, 269, 7167, 7578, 2271, 331, 269, 22716, 1242, 20367, 4914, 3892, 2924, 609, 17629, 267, 799, 17411, 513, 1297, 540, 741, 6469, 3892, 13847, 1282, 519, 2038, 562, 6839, 625, 563, 763, 2754, 9738, 6106, 540, 3347, 267, 1312, 4579, 783, 543, 2123, 267, 609, 2733, 12781, 547, 519, 6708, 602, 789, 941, 1071, 1790, 1238, 6203, 593, 1082, 16538, 8874, 267, 2495, 519, 2121, 1267, 729, 19311, 13218, 547, 5697, 4891, 602, 21271, 539, 519, 2757, 536, 27570, 10617, 602, 10483, 4914, 3892, 9388, 269, 7600, 1227, 267, 519, 2754, 729, 11295, 1472, 30939, 2789, 4609, 538, 519, 2504, 543, 3892, 5832, 267, 538, 1931, 547, 1732, 1852, 519, 1646, 543, 2095, 540, 1587, 543, 8907, 267, 7551, 7500, 811, 7443, 2406, 982, 741, 15712, 269, 7167, 7578, 8606, 916, 543, 7167, 7578, 4139, 2754, 21246, 1023, 941, 3743, 585, 519, 14104, 267, 543, 5924, 2504, 267, 16565, 540, 2407, 3486, 610, 16496, 16857, 2924, 585, 519, 1739, 5163, 5961, 281, 589, 576, 20764, 3120, 281, 8891, 23618, 633, 21388, 25024, 281, 4139, 2494, 540, 25491, 589, 6355, 10500, 1515, 14161, 17010, 781, 10158, 667, 3518, 543, 667, 3784, 9050, 11205, 26204, 543, 589, 8342, 1968, 634, 631, 2532, 3733, 5020, 12321, 1328, 781 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6023, 269, 476, 272, 1341, 1535, 476, 273, 269, 476, 273, 31592, 6201, 540, 9095, 7562, 267, 818, 764, 657, 543, 818, 551, 534, 14597, 602, 585, 519, 818, 764, 657, 3287, 264, 12045, 267, 594, 3815, 856, 519, 2942, 1129, 1354, 10128, 519, 4082, 267, 607, 1269, 268, 272, 259, 568, 513, 3586, 543, 519, 1526, 333, 520, 3815, 4341, 2829, 602, 281, 6695, 842, 737, 1422, 2765, 346, 11276, 2410, 11459, 348, 15848, 815, 737, 1422, 842, 1422, 2765, 346, 11276, 2410, 11459, 348, 15848, 2330, 1547, 552, 23692, 2845, 1547, 1358, 616, 20534, 25482, 17242, 524, 846, 322, 656, 3813, 656, 543, 28422, 836, 550, 269, 9095, 7562, 327, 780, 13706, 519, 1599, 535, 3287, 6661, 274, 2117, 7562, 3287, 264, 541, 764, 657, 3287, 264, 277, 541, 551, 534, 3287, 264, 1548, 568, 519, 12045, 540, 535, 3287, 264, 325, 3287, 264, 693, 1535, 284, 271, 343, 284, 271, 286, 1547, 1411, 666, 2491, 713, 3830, 609, 519, 1739, 9273, 281, 1403, 9095, 7562, 1535, 11224, 4642, 267, 1287, 1535, 11224, 5609, 11224, 5430, 263, 14039, 936, 476, 273, 14263, 16532, 1287, 818, 764, 657, 1535, 11224, 14039, 936, 476, 273, 14263, 11224, 14039, 936, 476, 273, 14263, 9095, 7562, 1535, 282, 4061, 16317, 11405, 780, 10403, 12045, 9498, 910, 16174, 3252, 609, 782, 519, 3268, 269, 4427, 2466, 24720, 269, 3245, 519, 1547, 4208, 568, 602, 286, 898, 568, 2854, 607, 546, 7933, 343, 630, 2117, 7562, 1535, 264, 815, 476, 272, 270, 476, 272, 14870, 269, 898, 568, 849, 1572, 519, 12045, 540, 5430, 11201, 1535, 267, 602, 568, 267, 519, 12045, 540, 519, 11201, 25482, 1599, 269, 634, 12045, 540, 609, 2463, 547, 568, 1547, 2353, 2418, 540, 1535, 269, 9747, 818, 551, 534, 263, 272, 6661, 4097, 32494, 269, 2986, 1576, 267, 972, 616, 1082, 7285, 609, 519, 1482, 20534, 267, 865, 519, 20534, 1599, 3085, 1405, 2965, 723, 606, 11201, 602, 28761, 834, 1495, 3996, 5257, 519, 20534, 1599, 269, 7392, 538, 1022, 1599, 12045, 547, 1205, 519, 3070, 267, 3268, 543, 3113, 1547, 4746, 3314, 602, 3006, 596, 1294, 519, 1547, 11374, 519, 5528, 543, 1210, 519, 5832, 4341, 267, 649, 1205, 281, 546, 15848, 9095, 7562, 1535, 513, 815, 476, 272, 533, 476, 272, 3287, 21669, 264, 273, 476, 272, 513, 815, 513, 513, 273, 1535, 273, 476, 272, 513, 815, 476, 272, 513, 273, 1535, 273, 4475, 267, 649, 666, 4194, 519, 7533, 2016, 538, 519, 7151, 281, 2098, 476, 272, 513, 273, 1535, 273, 15848, 815, 9095, 7562, 1535, 513, 1341, 290, 7151, 476, 280, 281, 4855, 681, 476, 272, 476, 274, 343, 273, 15848, 269, 818, 551, 534, 1535, 1315, 273, 269, 1547, 818, 764, 582, 2433, 543, 2895, 344, 704, 26382, 3252, 269, 4855, 519, 14216, 29719, 535, 3287, 6661, 2117, 7562, 263, 274, 343, 11924, 541, 764, 657, 263, 274, 343, 264, 1635, 519, 5681, 14329, 267, 519, 12045, 540, 609, 2463, 547, 568, 1547, 6168, 4964, 14645, 13555, 721, 6282, 832, 22339, 1047, 3763, 619, 16301, 21041, 8889, 1299, 8881, 1215, 13334, 1568, 4530, 1007, 2934, 4964, 14645, 13555, 721, 6282, 832, 1547, 2353, 519, 25066, 9163, 616, 1759, 593, 519, 3670, 25066, 12753, 269, 901, 15007, 568, 1031, 2429, 519, 2376, 269, 1284, 1101, 4063, 602, 519, 9832, 540, 519, 11201, 20534, 1599, 543, 519, 1101, 11201, 524, 846, 322, 656, 1599, 616, 3592, 9838, 267, 1287, 8399, 607, 5205, 281, 586, 815, 9095, 7562, 269, 6258, 811, 827, 519, 12045, 540, 818, 551, 534, 1535, 2059, 609, 922, 6169, 543, 12193, 1806, 269, 476, 273, 269, 3776, 2979, 24626, 7028, 2596, 2979, 267, 840, 17038, 5040, 267, 7223, 267, 29890, 267, 11810, 543, 811, 269, 1280, 1142, 11201, 25066, 5610, 4542, 2630, 972, 568, 513, 7222, 4542, 538, 519, 1592, 540, 29398, 540, 11201, 5409, 26382, 3252, 269, 28518, 769, 2091, 26344, 6248, 12793, 269, 22043, 2626, 281, 19247, 281, 634, 9095, 5913, 656, 1599, 3217, 513, 25066, 5223, 593, 519, 1770, 5858, 607, 922, 3403, 543, 2164, 538, 606, 5086, 2268, 607, 922, 3977, 269, 1488, 764, 657, 543, 818, 551, 534, 910, 476, 275, 7151, 281, 1879, 596, 4283, 818, 764, 657, 263, 273, 264, 630, 16129, 519, 1422, 6523, 476, 272, 257, 7735, 264, 593, 707, 9498, 267, 621, 3615, 269, 901, 942, 519, 3113, 1281, 8831, 3564, 1018, 596, 1294, 267, 538, 1312, 519, 2942, 543, 2318, 8846, 540, 1535, 267, 543, 621, 3085, 1405, 3444, 519, 546, 14414, 3515, 630, 1492, 29297, 4925, 693, 586, 15871, 7032, 270, 273, 543, 586, 284, 7032, 270, 273, 264, 907, 524, 338, 577, 1535, 815, 910, 524, 1054, 1535, 524, 338, 577, 1535, 780, 1432, 568, 12045, 540, 1488, 551, 534, 286, 1284, 849, 2328, 281, 9095, 7562, 1535, 547, 1611, 519, 1482, 3364, 607, 5609, 268, 272, 1535, 269, 818, 764, 9655, 269, 634, 1034, 1455, 15007, 568, 547, 2012, 11201, 25066, 3252, 1210, 606, 9095, 268, 18772, 267, 552, 3052, 1421, 9095, 7562, 3287, 1070, 818, 764, 657, 3287, 1070, 818, 551, 534, 3287, 1070, 3092, 269, 630, 272, 267, 272, 264, 15531, 513, 14216, 29719, 769, 20113, 476, 2537, 268, 4366, 267, 1265, 519, 3541, 328, 540, 519, 1599, 269, 2859, 6657, 269, 5623, 519, 16755, 540, 519, 11201, 25066, 3252, 281, 9095, 7562, 3287, 1070, 818, 764, 657, 3287, 1070, 543, 818, 551, 534, 3287, 1040, 12433, 519, 12045, 540, 693, 476, 2420, 269, 9095, 7562, 27976, 815, 818, 551, 534, 476, 273, 343, 269, 898, 568, 1732, 547, 946, 9095, 7562, 1535, 1317, 7363, 538, 6128, 267, 513, 1297, 6659, 547, 519, 1379, 910, 272, 1797, 519, 23483, 269, 769, 519, 4137, 2630, 267, 519, 6712, 540, 519, 3113, 12006, 538, 2699, 2982, 519, 6712, 540, 519, 3113, 540, 5609, 630, 343, 264, 602, 814, 606, 11201, 269, 8074, 602, 9095, 7562, 1535, 7132, 818, 764, 657, 1535, 11224, 14039, 936, 476, 273, 269, 28518, 769, 2091, 26344, 6248, 12793, 269, 19577, 281, 1280, 1535, 1496, 272, 267, 272, 316, 6585, 9095, 7562, 271, 3287, 264, 815, 476, 272, 5609, 271, 9095, 7562, 3287, 264, 815, 476, 272, 5430, 9095, 7562, 3287, 264, 1280, 1535, 1496, 272, 267, 272, 316, 649, 1205, 9095, 7562, 3287, 264, 815, 586, 554, 476, 273, 267, 1547, 3689, 1265, 519, 12045, 540, 535, 269, 3767, 952, 535, 1412, 630, 343, 264, 815, 476, 271, 585, 782, 2418, 540, 1535, 267, 1287, 602, 1797, 602, 535, 630, 343, 264, 568, 513, 3586, 1599, 602, 949, 581, 7229, 1210, 1022, 1871, 540, 1535, 269, 4475, 267, 519, 3803, 2626, 568, 2854, 607, 7151, 476, 1556, 269, 3973, 621, 1590, 581, 519, 2665, 602, 269, 849, 711, 4010, 2386, 269, 570, 17344, 548, 12445, 269, 7392, 538, 1022, 1599, 12045, 547, 1205, 519, 3070, 267, 3268, 543, 3113, 1547, 14497, 634, 12045, 540, 9095, 7562, 568, 2016, 676, 9095, 7562, 271, 3287, 264, 815, 476, 272, 476, 272, 1535, 273, 269, 13565, 6310, 3252, 1331, 16429, 2073, 20211, 290, 657, 2073, 769, 2091, 295, 28316, 710, 2073, 543, 20211, 306, 514, 327, 1547, 6333, 519, 1929, 320, 517, 2016, 676, 593, 519, 8884, 1547, 12445, 30180, 3406, 19577, 2467, 616, 1896, 6697, 2081, 585, 10747, 25066, 3252, 267, 543, 519, 6169, 519, 25066, 9163, 1063, 873, 4096, 519, 6074, 4214, 269, 1284, 723, 1336, 519, 5086, 4171, 20534, 568, 476, 271, 269, 28670, 279, 269, 1215, 798, 596, 798, 20211, 7562, 286, 1677, 4019, 519, 20456, 14329, 267, 1305, 607, 1547, 634, 12045, 540, 818, 551, 534, 1535, 568, 476, 272, 270, 630, 272, 21147, 273, 1040, 818, 764, 1054, 2433, 12337, 538, 951, 525, 540, 519, 7222, 25066, 543, 5409, 26382, 3252, 269, 14216, 643, 2510, 540, 519, 769, 2091, 26344, 6248, 12793, 269, 24135, 585, 811, 3268, 269, 1284, 17589, 519, 16755, 540, 11201, 25066, 3252, 1210, 17697, 15285, 269, 3502, 566, 676, 631, 269, 25816, 928, 269, 20211, 306, 514, 1496, 345, 316, 814, 7936, 2759, 19944, 340, 885, 538, 519, 1950, 7077, 269, 6258, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 2422, 14216, 29719, 547, 8058, 2334, 9095, 7562, 630, 343, 264, 1341, 818, 764, 657, 630, 343, 264, 815, 1315, 273, 269, 14216, 643, 2510, 540, 769, 2091, 26344, 6248, 12793, 910, 9095, 7562, 1535, 267, 818, 764, 657, 1535, 267, 818, 551, 534, 1535, 267, 818, 764, 2675, 1535, 267, 9095, 5913, 1535, 267, 818, 764, 582, 1535, 2419, 5142, 2098, 629, 14490, 773, 15152, 16225, 966, 2086, 790, 22094, 17507, 269, 590, 710, 1152, 814, 606, 11201, 593, 513, 11658, 6389, 267, 1535, 269, 7151, 476, 272, 1403, 1535, 815, 5609, 910, 1015, 269, 28670, 279, 1287, 676, 1210, 519, 9498, 267, 1535, 815, 476, 1428, 269, 818, 764, 657, 269, 1215, 666, 621, 948, 538, 12719, 9864, 16755, 540, 2034, 1547, 1879, 7893, 538, 32494, 267, 606, 5086, 540, 32494, 786, 5330, 547, 606, 9095, 4171, 3259, 568, 678, 267, 1141, 678, 568, 519, 8953, 540, 519, 5858, 269, 0, 258, 1215, 568, 15340, 538, 606, 8635, 5462, 2496, 296, 729, 2542, 513, 1433, 827, 16526, 267, 538, 602, 594, 1336, 602, 6695, 2765, 21151, 2410, 321, 23180, 2765, 15830, 2410, 322, 23180, 2765, 26231, 2410, 320, 348, 285, 272, 29146, 698, 346, 272, 6525, 568, 513, 21136, 8635, 538, 1269, 320, 8961, 259, 321, 8961, 259, 322, 10608, 1809, 952, 594, 1689, 519, 1931, 689, 18159, 320, 14720, 22698, 7751, 547, 18159, 320, 22698, 14720, 29408, 594, 993, 711, 3478, 519, 1482, 8635, 799, 568, 519, 2596, 4214, 540, 21136, 8635, 269, 1548, 993, 594, 3257, 4636, 2496, 2080, 568, 1250, 3801, 281, 2991, 4657, 519, 1931, 547, 18159, 320, 22698, 14720, 29408, 649, 1205, 6695, 2765, 21151, 2410, 322, 23180, 2765, 26231, 2410, 321, 23180, 2765, 15830, 2410, 320, 348, 285, 272, 2330, 713, 568, 5693, 711, 1482, 607, 18159, 272, 7751, 780, 2080, 568, 519, 21626, 689, 519, 1433, 799, 594, 993, 4974, 1384, 1892, 3657, 513, 267, 536, 267, 524, 2318, 2338, 1107, 1109, 291, 1046, 571, 328, 3967, 476, 2190, 1412, 1240, 693, 476, 1321, 281, 5379, 454, 1892, 7711, 10048, 628, 2033, 514, 621, 568, 711, 2016, 538, 519, 1433, 602, 513, 14720, 22698, 616, 2318, 2338, 1107, 1109, 12528, 276, 2641, 31798, 3967, 476, 2190, 1412, 1240, 693, 476, 1321, 281, 5325, 454, 1892, 634, 28023, 15340, 568, 630, 320, 267, 536, 267, 524, 264, 6902, 630, 321, 267, 524, 267, 513, 264, 6902, 630, 322, 267, 513, 267, 536, 264, 543, 630, 320, 267, 524, 267, 536, 264, 568, 711, 21136, 609, 519, 2016, 5311, 1107, 1109, 291, 1046, 571, 328, 3967, 476, 2190, 1412, 1240, 693, 476, 1321, 281, 5392, 454, 1892, 7711, 10048, 628, 2033, 514, 594, 1705, 711, 12446, 267, 713, 568, 2016, 538, 513, 1433, 1107, 1109, 12528, 276, 2641, 31798, 3967, 476, 2190, 1412, 1240, 693, 476, 1321, 281, 5392, 454, 1892, 7711, 10048, 628, 2033, 514, 594, 993, 6158, 827, 21136, 267, 711, 28023, 1107, 1109, 12528, 276, 2641, 31798, 3967, 476, 2190, 1412, 1240, 693, 476, 1321, 281, 7906, 692, 2005, 781, 711, 21136, 8635, 1317, 519, 32089, 18159, 320, 14720, 22698, 9385, 21375, 5416, 22698, 14720, 7751, 3947, 1776, 8635, 281, 6695, 2765, 21151, 2410, 322, 23180, 2765, 15830, 2410, 320, 23180, 2765, 26231, 2410, 321, 348, 285, 272, 269, 16465, 3528, 519, 1259, 267, 519, 8635, 3230, 320, 17070, 25239, 285, 29582, 2330, 568, 21136, 563, 1892, 594, 3858, 1269, 320, 17070, 25239, 285, 29582, 259, 568, 21136, 267, 855, 713, 568, 513, 2462, 3409, 602, 519, 1433, 568, 4636, 267, 3884, 1405, 621, 286, 1107, 1109, 12528, 276, 2641, 31798, 3967, 476, 2190, 1412, 1240, 693, 476, 1321, 281, 7871, 454, 1892, 7711, 294, 4768, 836, 307, 9646, 1411, 666, 5581, 834, 1910, 7825, 4479, 257, 585, 513, 17784, 339, 607, 1269, 303, 5416, 14720, 22698, 264, 815, 623, 5416, 3299, 321, 3299, 322, 262, 7751, 585, 1169, 32089, 540, 18159, 320, 3299, 321, 3299, 322, 262, 7751, 538, 18159, 320, 14720, 22698, 7751, 3230, 303, 5416, 14720, 22698, 6661, 303, 5416, 22698, 14720, 6661, 303, 6357, 28083, 22698, 6661, 303, 6357, 22698, 28083, 6661, 303, 6262, 28083, 14720, 6661, 303, 6262, 14720, 28083, 14638, 1107, 1109, 309, 633, 330, 3967, 476, 2190, 1412, 1240, 693, 476, 1691, 281, 6860, 0, 27908, 773, 638 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 303, 1156, 545, 749, 3204, 17654, 4659, 538, 19090, 267, 11882, 6663, 547, 4196, 543, 13599, 938, 2550, 3823, 6565, 2281, 543, 27532, 4915, 538, 2489, 269, 1284, 6999, 547, 7520, 519, 2898, 2126, 1995, 269, 1284, 2813, 713, 21111, 8249, 3296, 547, 948, 596, 609, 519, 17825, 269, 634, 29395, 540, 2474, 4092, 2630, 568, 2523, 5363, 547, 1007, 2550, 269, 4746, 1745, 1863, 547, 2070, 938, 14174, 304, 585, 811, 1344, 563, 10908, 27443, 540, 16301, 454, 268, 16989, 25745, 19204, 910, 6687, 582, 550, 6565, 2281, 602, 666, 1020, 883, 1585, 2010, 540, 2281, 267, 855, 616, 5160, 10391, 454, 268, 2549, 333, 8438, 29079, 910, 519, 5714, 602, 27788, 543, 2337, 2149, 606, 796, 9799, 4816, 1282, 6379, 454, 268, 2549, 333, 8438, 6490, 1962, 2033, 910, 519, 7961, 25958, 4494, 540, 519, 30302, 282, 3568, 6565, 2281, 454, 268, 24942, 3057, 992, 910, 29008, 344, 5160, 5627, 6565, 2281, 602, 568, 1336, 3330, 1978, 7633, 540, 519, 1560, 454, 268, 21150, 787, 4577, 25745, 19204, 910, 6565, 2281, 23608, 689, 24201, 630, 328, 4318, 269, 6992, 1242, 5798, 994, 268, 5131, 2763, 667, 11538, 910, 849, 1634, 607, 11430, 2684, 16478, 610, 3956, 3941, 27364, 566, 267, 568, 513, 1970, 2837, 18024, 1184, 602, 3322, 16171, 519, 1587, 267, 16715, 2604, 267, 1287, 9427, 519, 4672, 676, 1016, 3916, 566, 269, 901, 568, 538, 4334, 547, 18024, 676, 1034, 6671, 2409, 602, 18493, 622, 1216, 1210, 3002, 563, 268, 12618, 11790, 910, 3940, 6786, 602, 12954, 1591, 6498, 543, 2208, 540, 1808, 8031, 454, 268, 12379, 26067, 2096, 531, 25745, 19204, 910, 513, 1826, 540, 6565, 1591, 602, 666, 2285, 4473, 547, 1082, 1114, 2010, 540, 2281, 538, 519, 1560, 543, 3895, 7067, 454, 268, 744, 1873, 12960, 26225, 12039, 910, 513, 18102, 1031, 547, 3313, 513, 3461, 781, 1377, 540, 9659, 4611, 689, 1970, 1394, 1928, 454, 268, 26736, 2742, 910, 519, 5277, 5057, 540, 1973, 602, 6585, 1973, 2281, 543, 6676, 7410, 454, 268, 17934, 2280, 6762, 26736, 2742, 910, 11919, 609, 513, 1164, 5834, 540, 6676, 7410, 602, 2270, 1082, 2208, 2188, 543, 3895, 7067, 454, 268, 17934, 7410, 910, 513, 5057, 540, 1973, 602, 8992, 32378, 543, 5728, 525, 2208, 2188, 6225, 585, 7067, 454, 268, 25745, 19204, 910, 3768, 27075, 7007, 2281, 609, 519, 1761, 547, 1020, 883, 1082, 1114, 1591, 2010, 1282, 2208, 543, 7067, 454, 268, 25613, 27075, 7007, 19204, 910, 513, 1591, 602, 814, 2943, 547, 16174, 883, 922, 3803, 1106, 543, 1826, 0, 8110, 1417, 720, 18185, 281, 476, 1839, 568, 1018, 2600, 540, 476, 4335, 286, 815, 476, 276, 563, 12585, 281, 476, 1015, 260, 540, 476, 4335, 568, 476, 2004, 563, 4131, 779, 1265, 476, 1839, 260, 540, 476, 1220, 563, 11372, 17586, 519, 8918, 6697, 540, 519, 6871, 676, 476, 1911, 282, 610, 1847, 519, 1297, 779, 8918, 1448, 936, 1079, 4025, 547, 519, 1318, 269, 634, 1267, 568, 519, 6871, 2179, 269, 630, 1607, 4267, 519, 2243, 968, 6344, 568, 1018, 2600, 540, 476, 4335, 2223, 596, 1451, 602, 476, 6344, 568, 476, 2190, 2600, 540, 476, 4335, 1916, 2414, 5173, 476, 276, 2600, 540, 513, 1297, 267, 3274, 7941, 476, 1015, 2600, 540, 519, 1297, 676, 476, 273, 269, 1280, 1383, 267, 476, 276, 2600, 540, 476, 15996, 568, 476, 2537, 5258, 676, 476, 273, 267, 610, 476, 1556, 269, 276, 563, 12585, 281, 476, 1015, 260, 540, 476, 1911, 271, 568, 476, 1911, 563, 2414, 5173, 513, 6871, 540, 513, 6871, 267, 6460, 1312, 21159, 547, 8454, 540, 476, 1911, 267, 610, 547, 17447, 267, 543, 9062, 873, 269, 1280, 1383, 267, 476, 2004, 260, 540, 476, 2412, 260, 568, 7229, 282, 630, 2004, 270, 1911, 264, 1535, 630, 2412, 270, 1911, 264, 815, 476, 271, 269, 2004, 1535, 476, 271, 269, 2412, 815, 476, 271, 269, 736, 815, 476, 736, 270, 1911, 815, 476, 736, 18336, 1839, 2600, 540, 476, 6344, 568, 476, 1789, 563, 1839, 2600, 540, 476, 5611, 568, 476, 4391, 269, 276, 563, 12585, 281, 476, 1839, 260, 540, 476, 2004, 568, 476, 1839, 270, 273, 610, 476, 1321, 16006, 607, 513, 6824, 543, 476, 1321, 269, 276, 607, 513, 8918, 563, 2414, 10208, 1022, 6871, 689, 513, 1297, 267, 3274, 9062, 602, 1297, 676, 519, 6871, 596, 1616, 547, 2611, 269, 769, 824, 1913, 267, 9062, 676, 476, 1911, 2600, 14263, 519, 6871, 596, 1616, 547, 10208, 267, 538, 8918, 1106, 269, 1677, 10208, 476, 736, 2600, 267, 9062, 676, 476, 3199, 2600, 630, 271, 269, 279, 1916, 301, 11901, 815, 674, 1315, 1496, 630, 272, 1341, 678, 8203, 333, 9948, 1141, 267, 14346, 815, 10558, 10025, 267, 674, 815, 8892, 8569, 630, 322, 1662, 2095, 1070, 678, 815, 5494, 870, 2557, 267, 562, 815, 519, 1297, 540, 5712, 538, 519, 2104, 1916, 2304, 2179, 540, 10958, 568, 513, 2600, 1055, 519, 3312, 3902, 269, 634, 9042, 3902, 1058, 2141, 581, 1447, 982, 519, 3312, 3902, 269, 769, 930, 2665, 267, 519, 2179, 540, 10958, 568, 513, 6378, 13362, 2179, 269, 3973, 649, 1175, 1265, 519, 9042, 3902, 676, 18946, 519, 2179, 540, 10958, 689, 519, 3312, 3902, 563, 763, 2596, 1259, 547, 5173, 513, 10958, 568, 547, 9062, 519, 3312, 3902, 676, 519, 8918, 1106, 540, 519, 6871, 269, 1677, 5173, 519, 9042, 3902, 540, 606, 6221, 267, 10208, 519, 10958, 689, 519, 3312, 3902, 269, 1411, 666, 798, 713, 1210, 513, 9498, 267, 610, 596, 666, 5180, 519, 3902, 543, 7447, 519, 10958, 538, 707, 2212, 563, 763, 2626, 568, 476, 2004, 260, 607, 2433, 476, 272, 5662, 815, 476, 2568, 3764, 256, 1656, 476, 1789, 3764, 568, 519, 3368, 540, 621, 865, 519, 2626, 568, 476, 2004, 260, 4586, 11997, 267, 476, 14596, 568, 476, 3445, 4939, 540, 476, 4335, 563, 288, 476, 736, 2600, 10958, 568, 476, 271, 269, 736, 538, 8918, 3898, 269, 19627, 267, 9062, 519, 8918, 10958, 676, 519, 3902, 540, 519, 6221, 547, 3313, 519, 9806, 538, 9489, 269, 1280, 1383, 267, 952, 519, 3312, 3902, 540, 519, 6221, 11224, 1269, 2190, 267, 596, 1131, 9062, 476, 271, 269, 273, 676, 1269, 2190, 547, 1205, 1269, 275, 269, 3199, 563, 5629, 596, 723, 519, 8918, 4137, 267, 9062, 621, 676, 519, 1297, 585, 799, 596, 3343, 547, 5173, 519, 6871, 282, 1775, 4318, 1421, 952, 596, 991, 547, 917, 476, 1789, 2600, 540, 476, 1911, 267, 596, 6460, 476, 1789, 2600, 547, 513, 8918, 630, 271, 269, 1789, 264, 543, 9062, 621, 676, 476, 1911, 630, 271, 269, 1789, 1535, 476, 1911, 267, 799, 11224, 476, 1789, 1916, 22998, 856, 476, 1789, 260, 540, 476, 1911, 271, 454, 2252, 596, 616, 1210, 513, 9498, 267, 3274, 4283, 476, 1789, 383, 371, 1911, 9943, 1911, 271, 799, 786, 2285, 596, 476, 4968, 607, 519, 2626, 563, 12585, 281, 476, 276, 260, 540, 476, 1911, 271, 568, 476, 2004, 563, 8110, 1417, 720, 18185, 281, 1548, 568, 476, 1015, 2600, 540, 476, 6344, 271, 286, 815, 476, 6344, 563, 6343, 568, 476, 1839, 260, 540, 1269, 272, 267, 1822, 454, 1839, 540, 1269, 4968, 454, 6343, 568, 476, 1839, 540, 1269, 7785, 454, 736, 540, 1269, 4335, 454, 1839, 260, 540, 1269, 10384, 454, 1839, 2600, 1055, 476, 2004, 9489, 454, 1789, 260, 540, 1269, 4335, 454, 1839, 540, 1269, 6110, 0, 314, 29241, 607, 5291, 2517, 335, 14766, 3820, 270, 879, 3146, 14142, 17320, 7847, 14672, 327, 332, 21683, 270, 31256, 3583, 273, 2639, 7804, 2441, 320, 715, 987, 454, 30267, 8834, 26396, 454, 288, 270, 7468, 7225, 603, 570, 8527, 2006, 454, 289, 4361, 6609, 3733, 601, 5448, 568, 513, 2860, 540, 519, 5642, 20768, 602, 3413, 9711, 936, 476, 1911, 271, 1004, 1169, 1032, 538, 5245, 269, 634, 2126, 568, 2352, 543, 6757, 267, 3226, 607, 2550, 945, 1020, 519, 2068, 616, 1419, 4587, 630, 20200, 1227, 476, 2004, 268, 3583, 1296, 264, 543, 723, 8459, 2042, 607, 851, 540, 519, 2068, 269, 4107, 2550, 786, 723, 1732, 1852, 540, 741, 2068, 952, 789, 4309, 513, 1164, 9570, 540, 513, 14984, 3075, 1572, 5283, 13921, 534, 269, 9253, 13921, 534, 568, 6757, 547, 519, 5642, 20768, 267, 865, 5283, 13921, 534, 568, 4553, 676, 606, 30376, 540, 519, 2550, 262, 5642, 20768, 610, 1973, 6565, 2281, 630, 320, 5642, 20768, 13003, 1040, 667, 3151, 540, 5283, 13921, 534, 568, 2687, 547, 513, 3044, 8430, 602, 1281, 711, 2272, 585, 1367, 2188, 269, 1284, 917, 602, 519, 3075, 7106, 8986, 689, 519, 1973, 3833, 3533, 267, 543, 875, 3533, 621, 7106, 8986, 4440, 5540, 922, 17219, 543, 7145, 269, 14451, 13066, 616, 811, 6757, 543, 2550, 666, 5884, 607, 513, 1267, 540, 741, 13003, 267, 2539, 13066, 798, 711, 1852, 519, 2068, 607, 1134, 269, 3502, 1082, 4025, 538, 519, 1158, 2268, 519, 2157, 540, 5283, 13921, 534, 538, 519, 1973, 269, 2311, 634, 4132, 27231, 11233, 649, 723, 2907, 5340, 519, 4102, 1353, 540, 5283, 13921, 534, 1973, 338, 538, 1453, 269, 2060, 519, 5250, 540, 519, 29517, 24942, 3057, 992, 3690, 8690, 8416, 267, 649, 723, 8678, 609, 7189, 945, 1521, 4079, 609, 24869, 5448, 543, 1483, 2213, 602, 649, 941, 538, 513, 2990, 547, 2626, 930, 2101, 2055, 827, 519, 7145, 540, 5283, 13921, 534, 538, 24869, 5448, 543, 875, 1271, 621, 729, 547, 1205, 2539, 610, 2362, 2157, 540, 519, 3075, 538, 519, 3461, 781, 1973, 269, 1284, 616, 4058, 1018, 786, 581, 519, 4102, 1353, 540, 5283, 13921, 534, 1973, 2157, 538, 519, 1158, 630, 3467, 982, 476, 1911, 24869, 5448, 2550, 1040, 1635, 7893, 519, 5283, 13921, 534, 538, 741, 1973, 543, 1287, 1739, 1018, 4523, 547, 519, 2550, 267, 649, 786, 581, 2111, 547, 960, 856, 2436, 519, 9570, 540, 5283, 13921, 534, 649, 616, 1210, 568, 4998, 282, 952, 972, 616, 1919, 827, 519, 3461, 602, 2995, 721, 649, 1058, 2285, 513, 8273, 610, 4130, 9570, 543, 952, 519, 1973, 2157, 616, 1644, 547, 875, 1454, 17219, 519, 3461, 814, 1310, 13003, 543, 875, 1134, 519, 24869, 5448, 568, 6417, 269, 901, 1058, 2087, 519, 6364, 540, 24869, 5448, 2550, 563, 293, 27448, 2549, 870, 1269, 288, 11070, 476, 275, 4792, 267, 278, 8618, 269, 10619, 454, 293, 27448, 30868, 19760, 300, 13612, 5741, 6182, 1218, 454, 6124, 15766, 1807, 16827, 0, 8005, 616, 649, 267, 543, 1018, 568, 938, 2123, 3961, 888, 9223, 689, 519, 5769, 912, 22081, 1281, 2123, 3961, 6414, 998, 942, 18313, 23114, 3961, 568, 1945, 4277, 269, 1215, 798, 649, 917, 875, 649, 616, 286, 1215, 666, 649, 5581, 6000, 888, 2691, 649, 1413, 693, 1480, 2486, 543, 519, 14789, 540, 1004, 267, 649, 616, 2356, 3989, 676, 1082, 1919, 267, 855, 9039, 2798, 547, 930, 2186, 540, 9759, 610, 513, 3597, 563, 7197, 540, 782, 267, 649, 616, 782, 519, 1587, 540, 938, 1604, 269, 2991, 782, 267, 649, 10571, 267, 13789, 267, 1847, 267, 3717, 267, 8532, 1256, 1118, 2648, 2687, 547, 1018, 649, 1294, 689, 1866, 610, 689, 519, 782, 12656, 1889, 908, 2923, 543, 9913, 2634, 31683, 269, 1284, 899, 1018, 1866, 899, 267, 543, 952, 649, 13842, 1018, 1866, 899, 267, 649, 616, 1175, 607, 1454, 6766, 676, 873, 267, 4849, 538, 513, 2942, 1259, 563, 2171, 5581, 6000, 1759, 593, 3586, 6476, 547, 1866, 269, 1284, 782, 1616, 1018, 1866, 723, 282, 32047, 267, 938, 6574, 8788, 568, 950, 649, 723, 1945, 1866, 798, 711, 723, 610, 950, 649, 2744, 1945, 693, 741, 13258, 563, 3383, 938, 2123, 3961, 568, 7683, 3989, 676, 938, 1604, 267, 543, 950, 649, 1847, 5054, 267, 610, 519, 1604, 568, 4657, 267, 649, 1689, 609, 621, 563, 3383, 945, 649, 1589, 649, 616, 814, 4986, 547, 798, 609, 945, 649, 2965, 1223, 581, 269, 1284, 616, 19385, 14688, 19703, 883, 513, 1915, 998, 799, 649, 666, 798, 1655, 538, 513, 2016, 1604, 563, 2171, 1223, 1265, 856, 945, 649, 2731, 616, 282, 649, 1223, 1265, 938, 3020, 9759, 543, 3597, 540, 968, 712, 9997, 892, 538, 519, 1318, 1604, 269, 1403, 649, 3710, 513, 4130, 610, 3677, 2443, 1256, 2518, 2443, 1604, 602, 568, 3710, 1759, 593, 519, 29656, 7059, 543, 20102, 7471, 10959, 540, 7186, 267, 538, 602, 1604, 267, 1142, 1367, 1223, 1265, 543, 30593, 741, 2189, 267, 1034, 6099, 543, 9048, 2897, 762, 1909, 538, 7674, 519, 2898, 1062, 269, 769, 2132, 267, 1142, 1131, 1175 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12566, 20625, 7544, 2066, 513, 11380, 267, 27229, 519, 15472, 19259, 269, 4347, 775, 18830, 519, 14730, 8551, 5049, 4001, 519, 4354, 572, 540, 519, 32181, 625, 267, 519, 12928, 1442, 3724, 29883, 343, 267, 543, 1114, 2081, 547, 1521, 941, 342, 6504, 17486, 269, 4173, 321, 1108, 1053, 1353, 1585, 2371, 543, 13271, 267, 971, 607, 667, 8636, 1415, 543, 8061, 559, 781, 10965, 732, 269, 769, 3778, 540, 18903, 267, 1053, 1451, 519, 4408, 543, 7389, 540, 1585, 4583, 2621, 543, 1004, 267, 1519, 661, 1337, 519, 5345, 559, 267, 772, 878, 519, 744, 9536, 4252, 267, 519, 2782, 6674, 781, 13482, 540, 476, 10204, 280, 267, 519, 23266, 540, 519, 1582, 3613, 597, 2590, 28471, 323, 1258, 267, 1585, 979, 4565, 514, 15141, 687, 267, 543, 519, 909, 23438, 540, 4432, 325, 878, 519, 661, 4526, 269, 3690, 14808, 4851, 1053, 1590, 1491, 1950, 4967, 1354, 1565, 519, 11963, 547, 2490, 513, 6474, 883, 513, 13549, 267, 519, 10856, 883, 2879, 4428, 7901, 11963, 267, 543, 519, 22732, 532, 1975, 749, 269, 14936, 267, 1494, 687, 1053, 1451, 519, 595, 675, 585, 4425, 2812, 1494, 542, 267, 543, 519, 1280, 1326, 6888, 8000, 542, 563, 5575, 1032, 9993, 454, 5575, 1296, 3112, 979, 547, 670, 9233, 1889, 1228, 609, 519, 1053, 538, 519, 3791, 1032, 610, 1657, 267, 543, 616, 711, 15868, 547, 723, 741, 1378, 2156, 558, 22496, 3330, 519, 1153, 12406, 610, 6443, 519, 2372, 1342, 3558, 2319, 267, 606, 9868, 1373, 16452, 25260, 267, 945, 729, 2016, 513, 715, 12494, 639, 476, 1220, 271, 538, 1010, 1101, 1032, 543, 602, 1482, 1032, 267, 8678, 519, 717, 787, 742, 785, 528, 2372, 1342, 3558, 2319, 269, 1358, 616, 2417, 24193, 689, 2921, 6555, 1588, 267, 631, 10212, 548, 5525, 267, 5530, 540, 9147, 14840, 525, 267, 5516, 540, 7395, 673, 6282, 999, 543, 1488, 603, 2006, 1097, 2394, 3791, 1032, 267, 543, 2561, 541, 819, 543, 1325, 17057, 344, 2394, 15795, 1032, 563, 268, 16452, 25260, 543, 519, 11096, 9372, 781, 12942, 630, 5575, 5920, 994, 268, 16452, 25260, 543, 519, 11096, 9372, 781, 12942, 630, 28291, 994, 268, 16452, 25260, 543, 519, 11096, 9372, 781, 12942, 630, 341, 8721, 3014, 994, 268, 16452, 25260, 543, 519, 25679, 540, 31981, 454, 268, 16452, 25260, 543, 519, 25679, 540, 31981, 630, 28291, 994, 268, 16452, 25260, 543, 519, 25679, 540, 31981, 630, 341, 8721, 3014, 994, 268, 16452, 25260, 543, 519, 29277, 518, 540, 10897, 330, 629, 534, 454, 268, 16452, 25260, 543, 519, 29277, 518, 540, 10897, 330, 629, 534, 630, 28291, 994, 268, 16452, 25260, 543, 519, 29277, 518, 540, 10897, 330, 629, 534, 630, 341, 8721, 3014, 994, 268, 16452, 25260, 543, 519, 717, 984, 2280, 540, 9605, 454, 268, 16452, 25260, 543, 519, 717, 984, 2280, 540, 9605, 630, 28291, 994, 268, 16452, 25260, 543, 519, 11352, 540, 519, 27925, 454, 268, 16452, 25260, 543, 519, 11352, 540, 519, 27925, 630, 28291, 994, 268, 16452, 25260, 543, 519, 11352, 540, 519, 27925, 630, 341, 8721, 3014, 994, 268, 16452, 25260, 543, 519, 21009, 5174, 331, 797, 13584, 454, 268, 16452, 25260, 543, 519, 21009, 5174, 331, 797, 13584, 630, 28291, 994, 268, 16452, 25260, 543, 519, 21009, 5174, 331, 797, 13584, 630, 341, 8721, 3014, 994, 268, 16452, 25260, 543, 519, 12280, 569, 8065, 3298, 454, 268, 16452, 25260, 543, 519, 12280, 569, 8065, 3298, 281, 3487, 476, 273, 454, 268, 16452, 25260, 543, 519, 12280, 569, 8065, 3298, 281, 3487, 476, 273, 630, 341, 8721, 3014, 994, 268, 700, 9680, 302, 16452, 25260, 281, 13012, 476, 272, 268, 275, 454, 268, 700, 9680, 302, 16452, 25260, 281, 13012, 476, 276, 268, 278, 454, 268, 16452, 25260, 281, 634, 10886, 966, 5435, 454, 268, 16452, 25260, 281, 634, 6282, 675, 966, 5435, 454, 24687, 543, 8100, 454, 347, 5575, 910, 5822, 910, 12059, 910, 19549, 910, 25004, 910, 14520, 628, 910, 1530, 22770, 347 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 898, 779, 2629, 547, 1174, 602, 2043, 2746, 547, 891, 1079, 2010, 540, 14245, 3833, 8335, 269, 1306, 4213, 543, 2043, 11441, 547, 1118, 1239, 12454, 3664, 267, 519, 3903, 1063, 12125, 543, 7515, 3587, 513, 2565, 835, 563, 763, 1883, 1491, 12537, 568, 547, 1589, 827, 707, 5304, 1247, 14045, 1063, 513, 3349, 543, 513, 3113, 269, 32341, 1759, 593, 519, 28252, 540, 519, 2838, 8642, 563, 5475, 713, 2656, 2689, 540, 875, 1142, 1568, 543, 930, 2798, 540, 950, 789, 1522, 581, 1031, 267, 596, 666, 1711, 1239, 32331, 602, 616, 2312, 267, 13801, 267, 543, 2500, 563, 301, 514, 10937, 23959, 1700, 31418, 5006, 7305, 623, 1663, 6265, 538, 31964 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 476, 2412, 543, 476, 4792, 269, 634, 3173, 4941, 547, 7747, 519, 1114, 5933, 540, 519, 5912, 540, 22797, 1210, 19182, 3674, 543, 27946, 18767, 547, 4063, 2634, 2242, 602, 7018, 269, 634, 3804, 729, 547, 1205, 513, 2070, 540, 1018, 4523, 547, 519, 2634, 2429, 519, 2242, 540, 22797, 1312, 1354, 621, 3459, 543, 1310, 621, 729, 936, 269, 634, 1353, 849, 9763, 2592, 540, 519, 12058, 540, 2367, 538, 713, 1482, 2085, 2039, 585, 6476, 1063, 519, 28486, 563, 763, 2164, 540, 713, 1353, 1336, 602, 22797, 1281, 8197, 2014, 2242, 538, 519, 2634, 269, 769, 1249, 267, 3173, 1336, 602, 2021, 779, 12058, 1689, 3833, 513, 3787, 950, 3379, 547, 2367, 779, 12058, 269, 9093, 18108, 729, 1336, 547, 1689, 519, 2634, 779, 2497, 267, 1648, 4616, 267, 543, 14479, 269, 4634, 519, 4320, 540, 12457, 2339, 538, 519, 2634, 267, 8519, 2059, 609, 519, 3043, 2339, 267, 799, 3568, 519, 11103, 602, 1921, 8229, 2281, 269, 898, 849, 1336, 602, 538, 2021, 267, 519, 4525, 540, 519, 2634, 2404, 609, 3965, 543, 8226, 849, 4951, 19394, 7280, 2157, 563, 763, 1434, 3377, 2705, 267, 568, 621, 5526, 602, 2021, 779, 12058, 3082, 547, 713, 1007, 3339, 269, 634, 1353, 1336, 602, 2021, 779, 12058, 941, 2111, 547, 693, 2547, 14356, 22771, 585, 891, 23229, 609, 2333, 1973, 2095, 543, 2504, 540, 513, 11140, 1572, 21085, 267, 519, 1292, 1648, 2707, 585, 2281, 269, 7427, 5346, 18767, 1079, 1296, 2022, 2173, 523, 18108, 1336, 602, 2634, 2242, 616, 1419, 23644, 267, 543, 538, 930, 2694, 540, 519, 2634, 9258, 1369, 513, 1906, 1296, 563, 3080, 13946, 520, 540, 519, 1353, 4681, 729, 602, 2021, 609, 513, 4719, 14583, 2404, 609, 513, 2362, 1981, 540, 3384, 12216, 779, 2068, 1185, 811, 29693, 13196, 540, 513, 3940, 1572, 26887, 1355, 12498, 267, 5532, 547, 12216, 779, 2068, 267, 1282, 829, 11948, 18108, 982, 2021, 543, 2367, 1510, 519, 4719, 14583, 269, 6480, 4088, 14014, 519, 4775, 2634, 689, 10172, 543, 25623, 8849, 2534, 269, 901, 2337, 547, 2061, 519, 19221, 540, 13421, 540, 5946, 610, 29693, 13196, 267, 5532, 547, 12216, 779, 2068, 563, 24464, 18108, 949, 581, 17149, 2059, 609, 519, 2589, 2404, 609, 621, 267, 855, 2021, 666, 1491, 3268, 5329, 741, 2634, 2635, 543, 3514, 269, 3371, 616, 930, 10372, 5009, 2634, 1072, 585, 2021, 912, 7804, 269, 6424, 6341, 14508, 568, 519, 10615, 540, 9093, 779, 2657, 543, 772, 6331, 545, 2201, 19223, 693, 853, 269, 14731, 11233, 538, 7043, 6816, 269, 1261, 779, 513, 12021, 543, 3810, 3811, 4604, 14468, 772, 6331, 545, 2201, 322, 6048, 16869, 543, 7605, 5328, 31048, 517, 538, 1715, 3840, 4975, 267, 9833, 607, 835, 540, 519, 3056, 17150, 23262, 538, 519, 772, 2529, 1421, 609, 513, 5318, 6791, 538, 17150, 2860, 2126, 543, 7605, 5328, 5025, 1087, 13554, 700, 777, 541, 25646, 1160, 8063, 551, 3912, 269, 3220, 269, 6341, 14508, 568, 513, 2564, 23784, 547, 5240, 16655, 7641, 543, 568, 849, 519, 2278, 540, 634, 31597, 631, 3198, 783, 267, 3220, 269, 6341, 14508, 779, 6651, 547, 9093, 779, 2657, 543, 25682, 267, 2139, 2228, 1312, 593, 8835, 543, 4446, 5886, 1299, 32201, 269, 16731, 3220, 269, 6341, 14508, 779, 7270, 693, 18951, 593, 3712, 334, 14934, 543, 17150, 2860, 476, 26605, 269, 0, 26596, 631, 7865, 548, 781, 5783, 454, 763, 2245, 10305, 922, 5748, 547, 522, 1777, 821, 594, 6250, 4186, 328, 630, 13040, 276, 268, 9340, 272, 1070, 555, 3326, 724, 972, 616, 1100, 2386, 20209, 1878, 269, 634, 1101, 12190, 7240, 2707, 547, 2446, 519, 5939, 4422, 1394, 547, 476, 14056, 280, 269, 853, 269, 631, 7865, 548, 13195, 519, 3504, 8303, 5939, 540, 7136, 3626, 607, 1279, 607, 476, 15647, 276, 269, 634, 3312, 2679, 729, 11643, 547, 1297, 1652, 973, 739, 2315, 281, 538, 519, 1101, 3368, 540, 519, 476, 1428, 628, 2540, 519, 5939, 729, 2016, 922, 1459, 14328, 3337, 267, 609, 519, 8122, 13455, 676, 1614, 8424, 540, 22225, 676, 1797, 540, 519, 30617, 269, 0, 294, 327, 3570, 568, 513, 2197, 1141, 621, 568, 2009, 547, 2743, 5095, 945, 1869, 2661, 2687, 547, 3504, 5389, 267, 7390, 642, 797, 5622, 18428, 543, 824, 17174, 12738, 267, 1205, 547, 917, 835, 540, 519, 1034, 3532, 3979, 25267, 267, 3643, 519, 28151, 6580, 1394, 547, 519, 7810, 1974, 543, 519, 8909, 10553, 4123, 267, 3802, 538, 519, 918, 752, 636, 14175, 10809, 543, 1118, 3078, 1760, 30213, 563, 294, 327, 3570, 814, 513, 3638, 1686, 543, 28933, 3504, 28151, 543, 585, 1206, 602, 941, 1031, 267, 1282, 519, 1974, 540, 519, 10553, 4123, 267, 607, 12074, 585, 10437, 543, 824, 25584, 563, 763, 15729, 11076, 31069, 267, 3710, 538, 519, 476, 1626, 628, 2540, 267, 543, 2663, 22058, 730, 543, 6905, 267, 6039, 607, 519, 4493, 540, 519, 3703, 7245, 540, 519, 7108, 11076, 2394, 476, 6942, 278, 267, 950, 621, 729, 6410, 547, 519, 10271, 321, 3073, 16836, 538, 6452, 571, 563, 2005, 568, 2009, 547, 3643, 519, 15729, 11076, 6830, 267, 621, 568, 4277, 543, 26648, 547, 1265, 856, 875, 10437, 941, 5701, 267, 18374, 899, 1022, 824, 20161, 282, 789, 941, 16081, 4364, 883, 519, 546, 25128, 976, 543, 6854, 538, 21016, 576, 22133, 31978, 545, 2175, 1354, 1373, 834, 3333, 5792, 257, 547, 519, 17113, 563, 288, 2370, 2417, 547, 519, 4639, 6013, 519, 14500, 540, 4432, 332, 2088, 267, 519, 1101, 14082, 11175, 3964, 538, 19168, 563, 763, 4070, 540, 519, 14500, 7389, 1394, 547, 519, 2034, 3368, 540, 519, 6957, 18818, 2540, 543, 2221, 814, 1044, 9927, 883, 513, 1507, 9754, 1310, 513, 6297, 11808, 282, 621, 568, 835, 540, 519, 1292, 16499, 23888, 540, 519, 3520, 5558, 540, 519, 10553, 4123, 563, 298, 636, 14515, 529, 519, 3504, 3854, 540, 519, 12891, 21468, 10806, 267, 835, 540, 519, 1034, 3532, 3979, 25267, 2394, 519, 13524, 2540, 282, 519, 1514, 3919, 540, 519, 12891, 21468, 529, 10704, 593, 519, 4137, 540, 12891, 14397, 515, 928, 267, 519, 4622, 540, 782, 12891, 21468, 563, 1103, 519, 2250, 519, 12891, 21468, 941, 519, 561, 3581, 540, 16450, 543, 4154, 267, 789, 1185, 865, 1454, 4154, 602, 789, 1031, 621, 607, 606, 7533, 851, 540, 741, 30933, 1282, 18428, 267, 789, 1500, 9735, 9925, 1564, 602, 941, 267, 543, 1869, 616, 267, 1634, 2429, 4639, 4000, 563, 2304, 20605, 1995, 568, 519, 7589, 538, 513, 6093, 12891, 21468, 24133, 267, 1141, 1920, 2818, 267, 2828, 543, 29872, 1734, 540, 519, 21549, 26544, 9849, 741, 2757, 10571, 267, 513, 1804, 2699, 610, 3109, 12308, 12816, 899, 513, 547, 8615, 563, 16914, 571, 267, 519, 3854, 540, 19168, 267, 568, 606, 2498, 12883, 1417, 2749, 1141, 2575, 568, 2141, 1459, 267, 689, 519, 10754, 547, 519, 7678, 5006, 14060, 543, 1167, 657, 282, 855, 6452, 571, 729, 849, 519, 3140, 3854, 540, 519, 13642, 11076, 267, 519, 1747, 1141, 519, 1101, 3864, 3935, 9088, 12306, 563, 763, 2749, 28933, 4190, 1806, 540, 7810, 6189, 543, 519, 585, 1206, 3710, 676, 13896, 267, 971, 607, 10783, 6276, 267, 3710, 676, 519, 2296, 538, 476, 15757, 274, 267, 593, 519, 3135, 540, 513, 5449, 14082, 14500, 267, 543, 772, 1087, 615, 10783, 519, 9510, 25167, 2679, 538, 519, 2749, 267, 3710, 676, 519, 10656, 538, 476, 13932, 273, 563, 763, 8664, 540, 11918, 652, 1144, 267, 602, 3217, 922, 2012, 689, 519, 14500, 267, 568, 513, 10068, 8498, 267, 1631, 11368, 676, 519, 2749, 540, 6452, 571, 267, 538, 6024, 1646, 282, 5103, 713, 267, 519, 8498, 25601, 922, 19259, 543, 519, 2238, 602, 1491, 1747, 972, 563, 763, 29940, 979, 856, 10068, 593, 11954, 14039, 5766, 1132, 267, 6849, 519, 6329, 540, 519, 5836, 267, 543, 267, 593, 741, 2132, 267, 519, 2021, 1491, 1416, 540, 7738, 543, 7296, 519, 3165, 267, 1210, 5458, 21596, 267, 1500, 689, 4401, 29054, 563, 763, 24462, 616, 7920, 607, 1134, 607, 519, 1272, 540, 519, 8498, 267, 1141, 972, 616, 1100, 21490, 9897, 543, 267, 1247, 519, 1453, 1404, 593, 519, 11824, 267, 519, 2367, 616, 3743, 585, 544, 2056, 10068, 24437, 543, 10935, 5826, 563, 1103, 19168, 972, 616, 1082, 5095, 543, 6803, 2516, 267, 16310, 519, 12891, 656, 527, 1877, 616, 519, 12821, 32586, 667, 698, 4861, 320, 267, 519, 23951, 330, 4861, 320, 267, 519, 700, 11893, 663, 519, 717, 584, 12584, 328, 282, 789, 616, 4277, 11031, 547, 3643, 607, 789, 723, 9738, 543, 12873, 741, 5389, 543, 18428, 563, 3719, 19168, 568, 849, 513, 2603, 540, 2470, 267, 972, 616, 476, 1626, 6870, 2127, 267, 8720, 513, 2698, 540, 476, 277, 260, 540, 519, 2197, 781, 8513, 563, 763, 1034, 1271, 2067, 2065, 1858, 568, 519, 631, 1961, 2817, 5244, 267, 602, 568, 4092, 538, 519, 8832, 23617, 540, 519, 2197, 543, 814, 513, 5260, 20087, 5251, 609, 10889, 531, 3996, 267, 22171, 267, 1884, 601, 8554, 267, 21495, 543, 19246, 282, 596, 666, 1118, 1760, 30213, 1312, 676, 1286, 543, 593, 3723, 267, 1934, 596, 666, 849, 3786, 585, 519, 3781, 538, 519, 5260, 20087, 563, 763, 918, 752, 636, 2817, 5244, 529, 4092, 538, 519, 22986, 1858, 267, 7064, 547, 519, 24588, 540, 918, 752, 636, 267, 513, 8115, 540, 887, 6647, 17956, 547, 5374, 15791, 543, 17479, 693, 513, 4463, 540, 476, 1789, 268, 2412, 7397, 267, 596, 666, 23507, 519, 29814, 4104, 689, 1657, 267, 519, 918, 752, 636, 781, 24588, 4564, 519, 13074, 543, 32399, 8115, 540, 922, 2186, 538, 519, 1158, 563, 763, 10723, 4104, 540, 674, 328, 9047, 4425, 629, 523, 724, 11817, 519, 22171, 3933, 320, 663, 519, 2051, 984, 639, 267, 2249, 2808, 10723, 676, 519, 2199, 2551, 282, 596, 666, 5702, 7747, 891, 20036, 7068, 602, 798, 711, 4250, 812, 267, 865, 607, 547, 4283, 5321, 543, 6517, 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 ]
[ 1134, 5630, 540, 519, 1533, 779, 4961, 3340, 6707, 18997, 782, 540, 922, 1453, 269, 3345, 10491, 779, 1699, 2069, 1062, 14543, 547, 2743, 519, 2069, 2115, 540, 1082, 540, 922, 1453, 543, 7551, 14543, 547, 1683, 585, 519, 2104, 1967, 540, 891, 2043, 267, 741, 2950, 267, 543, 519, 1533, 1848, 1284, 1131, 4126, 602, 5103, 519, 1686, 540, 7292, 17478, 267, 5094, 855, 21376, 2069, 267, 3043, 8184, 267, 519, 4417, 540, 22497, 3506, 267, 602, 713, 1867, 786, 1689, 476, 4968, 4627, 1296, 540, 21376, 2069, 269, 634, 2104, 540, 3345, 10491, 538, 513, 1158, 602, 568, 4742, 4130, 4948, 5673, 593, 7598, 519, 4681, 585, 519, 1732, 618, 540, 1053, 267, 3237, 543, 3025, 3238, 538, 18997, 519, 1453, 540, 3345, 10491, 563, 268, 3345, 10491, 17037, 616, 6849, 513, 14869, 1565, 7455, 538, 476, 1708, 271, 454, 2467, 779, 782, 2186, 540, 1007, 856, 972, 269, 1715, 1533, 14130, 543, 5600, 13102, 585, 930, 282, 1715, 772, 2529, 269, 18322, 1308, 13102, 282, 1715, 13359, 6191, 282, 1715, 28056, 9517, 4170, 282, 589, 1007, 267, 543, 14320, 4505, 267, 3119, 4266, 269, 6875, 856, 707, 22796, 267, 3214, 267, 1317, 713, 568, 782, 2469, 547, 581, 593, 519, 1449, 269, 634, 1101, 1900, 585, 17037, 1058, 581, 547, 4137, 856, 1141, 789, 616, 1310, 782, 519, 4786, 2699, 3863, 532, 269, 3619, 547, 519, 3345, 10491, 8274, 540, 5082, 687, 19534, 966, 582, 518, 6733, 1575, 2985, 267, 24362, 538, 707, 2012, 543, 10315, 267, 543, 596, 3580, 1294, 707, 18322, 1308, 8664, 267, 1533, 14130, 8664, 267, 1533, 5600, 8664, 267, 16324, 267, 18513, 543, 1153, 13102, 269, 1411, 3580, 849, 1294, 952, 596, 2461, 14261, 568, 3742, 267, 513, 8797, 3364, 547, 2638, 269, 2368, 540, 519, 18322, 1308, 13102, 941, 2699, 22148, 13497, 282, 972, 779, 513, 13618, 602, 519, 2025, 7851, 267, 799, 5795, 25743, 513, 476, 1015, 268, 274, 5413, 538, 519, 18322, 1308, 15518, 566, 267, 786, 2693, 6521, 547, 606, 476, 279, 268, 276, 717, 8008, 5413, 269, 5565, 13102, 267, 519, 476, 273, 526, 543, 476, 277, 628, 267, 941, 2699, 22148, 547, 3927, 19068, 856, 717, 8008, 1651, 3518, 757, 6723, 670, 13783, 543, 4460, 21701, 269, 634, 2034, 4682, 689, 513, 1341, 1724, 717, 8008, 10160, 547, 1341, 866, 14891, 269, 630, 4322, 2338, 2992, 851, 16388, 10709, 902, 19486, 1996, 519, 10315, 607, 513, 2898, 1040, 634, 15795, 17146, 689, 681, 266, 1626, 547, 667, 266, 1240, 269, 715, 622, 18234, 779, 12866, 1320, 8812, 292, 697, 3135, 267, 799, 1835, 31708, 1239, 543, 12642, 689, 3584, 8151, 689, 6214, 547, 5026, 267, 3081, 602, 1256, 609, 519, 1007, 7851, 267, 519, 1533, 568, 1869, 796, 29446, 269, 1306, 540, 5463, 269, 476, 278, 267, 476, 1001, 280, 267, 796, 3530, 559, 7007, 17037, 941, 519, 1034, 3875, 538, 519, 1533, 267, 609, 5176, 476, 273, 269, 276, 2929, 20579, 1261, 1564, 1818, 602, 3903, 269, 1703, 941, 476, 273, 269, 2537, 2929, 14891, 9549, 7373, 5928, 543, 476, 273, 269, 6860, 2929, 25743, 269, 6736, 1346, 2338, 267, 12866, 1320, 8812, 292, 697, 4967, 519, 717, 8008, 1131, 1491, 476, 279, 540, 476, 1724, 18322, 1308, 16295, 538, 513, 717, 8008, 5951, 1032, 609, 519, 1007, 7851, 267, 543, 849, 476, 279, 540, 476, 1724, 538, 513, 9243, 1032, 1107, 543, 538, 513, 14891, 5951, 1032, 607, 1134, 269, 898, 779, 6059, 621, 1131, 1491, 513, 9791, 23329, 1107, 1341, 1724, 14891, 25422, 1107, 585, 513, 5354, 540, 519, 1533, 779, 18322, 1308, 16295, 547, 2490, 14891, 269, 7982, 547, 6927, 693, 1688, 281, 2659, 2199, 4604, 540, 12836, 666, 2995, 596, 1018, 2186, 540, 9517, 596, 3580, 991, 269, 7937, 267, 543, 596, 8910, 1732, 1205, 593, 713, 267, 1317, 3079, 540, 513, 2904, 3119, 267, 3345, 10491, 814, 6410, 922, 3119, 1394, 547, 4728, 476, 274, 269, 15528, 269, 3767, 602, 596, 4076, 23125, 856, 1141, 596, 616, 543, 1018, 14797, 596, 666, 8917, 585, 267, 1631, 596, 723, 547, 4137, 856, 945, 707, 26717, 616, 269, 901, 4992, 3551, 267, 855, 538, 3345, 10491, 267, 621, 1373, 3345, 10491, 543, 782, 267, 972, 779, 513, 3787, 540, 513, 6335, 269, 1284, 946, 513, 10859, 12641, 2216, 3119, 267, 799, 3622, 1797, 952, 596, 2461, 513, 10805, 5428, 4759, 1107, 9139, 267, 14891, 267, 5682, 267, 19115, 4115, 610, 17044, 1107, 596, 666, 1152, 8917, 538, 707, 5428, 779, 3119, 269, 3143, 15385, 519, 1899, 547, 2119, 547, 4584, 1055, 2576, 538, 1776, 5428, 596, 1810, 1406, 899, 269, 1403, 596, 2461, 796, 3530, 559, 7007, 267, 596, 666, 4584, 835, 540, 1346, 5428, 3440, 1824, 269, 18391, 693, 945, 814, 10805, 547, 2196, 585, 772, 2529, 269, 7022, 538, 3345, 10491, 267, 596, 4867, 723, 513, 3903, 540, 476, 1428, 24273, 952, 596, 3442, 602, 3440, 582, 267, 835, 5682, 9549, 543, 835, 17044, 9549, 3903, 267, 1079, 9139, 10457, 267, 543, 476, 1626, 19115, 4115, 10457, 269, 1403, 596, 2461, 796, 3530, 559, 7007, 543, 1616, 547, 7914, 883, 835, 540, 519, 22125, 14797, 267, 596, 3580, 723, 547, 1382, 519, 1367, 10457, 269, 3807, 676, 1259, 540, 1383, 2638, 856, 21502, 514, 11146, 10966, 267, 945, 779, 835, 540, 519, 476, 1626, 19115, 4115, 10457, 269, 20223, 4162, 281, 28871, 31273, 513, 18849, 593, 1010, 2212, 282, 11438, 513, 1804, 28750, 269, 25957, 281, 13495, 2218, 5694, 17678, 676, 4341, 540, 1876, 269, 12409, 23793, 281, 769, 2250, 267, 814, 5859, 539, 593, 1990, 4861, 773, 3284, 5914, 2988, 572, 4656, 269, 4317, 270, 11296, 3609, 281, 8871, 2478, 513, 1863, 533, 3415, 547, 4892, 269, 769, 2110, 267, 9157, 855, 4023, 269, 17610, 267, 13915, 2161, 21502, 514, 949, 581, 538, 519, 17927, 540, 8262, 623, 3415, 269, 1809, 952, 646, 779, 11221, 789, 3580, 581, 6031, 602, 609, 513, 10875, 267, 6505, 12837, 269, 808, 990, 658, 640, 11735, 267, 17037, 991, 547, 1205, 547, 960, 269, 1284, 2461, 593, 519, 9219, 585, 476, 1708, 271, 563, 268, 634, 1715, 674, 8862, 867, 630, 293, 1515, 1145, 994, 4415, 519, 476, 1708, 271, 9550, 3138, 4040, 267, 930, 540, 968, 933, 519, 1004, 892, 31739, 519, 1857, 29027, 20038, 2899, 1336, 538, 519, 1631, 12413, 9417, 476, 3707, 280, 12876, 1145, 1684, 551, 9068, 269, 17848, 539, 538, 519, 476, 4572, 278, 15571, 2920, 267, 5293, 547, 4383, 519, 1857, 779, 2011, 30335, 267, 519, 8549, 18058, 8189, 2847, 12097, 621, 538, 476, 2735, 278, 267, 851, 540, 519, 31144, 7245, 779, 7029, 547, 632, 28832, 269, 1763, 19895, 2787, 3646, 723, 8959, 269, 1306, 12721, 2792, 9055, 8118, 267, 519, 20317, 540, 13739, 8552, 2968, 544, 2393, 269, 634, 1523, 540, 2011, 30335, 607, 513, 1857, 3972, 8593, 676, 519, 2081, 728, 269, 595, 762, 8613, 543, 9682, 6786, 6591, 2666, 267, 543, 519, 4950, 267, 609, 922, 9153, 540, 4763, 267, 2482, 593, 519, 16880, 269, 769, 476, 1001, 272, 267, 1282, 519, 15525, 7245, 267, 519, 674, 6717, 22696, 5529, 519, 14985, 779, 2063, 14074, 269, 4653, 267, 519, 10163, 648, 519, 12876, 1145, 1684, 551, 9068, 2920, 540, 476, 1001, 280, 267, 5189, 538, 5181, 630, 308, 2529, 269, 3115, 269, 570, 6160, 328, 717, 13741, 731, 267, 667, 6953, 296, 1070, 1658, 8460, 538, 12233, 269, 2334, 779, 513, 17847, 269, 968, 7212, 519, 12876, 1145, 1684, 551, 9068, 779, 7145, 543, 17997, 1464, 616, 3181, 23534, 267, 621, 9415, 8417, 4724, 5752, 12886, 543, 3177, 2199, 2950, 606, 1271, 1907, 609, 799, 547, 3180, 3376, 322, 7539, 18177, 2223, 11339, 8841, 17292, 731, 538, 513, 476, 1001, 279, 2376, 538, 519, 4139, 4750, 540, 18058, 269, 17292, 731, 568, 7548, 693, 519, 2160, 540, 12425, 779, 7788, 28086, 3427, 585, 18058, 269, 634, 14985, 779, 3677, 3483, 267, 1419, 15763, 267, 729, 547, 1118, 2386, 13739, 12689, 525, 4988, 2152, 540, 1857, 2956, 538, 513, 4023, 6073, 269, 589, 561, 3512, 762, 2530, 267, 2016, 4797, 28051, 543, 519, 8701, 1944, 267, 851, 16388, 3377, 602, 16204, 836, 909, 1310, 519, 14985, 779, 2669, 269, 5398, 1719, 2152, 1394, 538, 519, 1554, 3769, 4600, 685, 2924, 267, 6046, 2030, 4070, 267, 1256, 2732, 543, 1072, 269, 1403, 10473, 8959, 547, 3343, 543, 2011, 15852, 5784, 267, 789, 1223, 6336, 27121, 610, 3068, 25430, 2042, 610, 581, 2838, 547, 1683, 942, 585, 12721, 5784, 952, 789, 22821, 1406, 1044, 513, 1600, 269, 769, 922, 15194, 267, 519, 674, 6717, 11855, 519, 968, 577, 3739, 1198, 892, 593, 3376, 322, 7539, 685, 1863, 4633, 269, 4595, 1034, 19374, 10704, 593, 5821, 547, 2011, 4570, 15852, 5784, 267, 930, 3376, 322, 7539, 16718, 2011, 532, 1857, 29027, 2152, 267, 543, 1256, 6976, 5752, 267, 602, 1522, 9594, 741, 12876, 1145, 1684, 551, 9068, 13800, 269, 5518, 31144, 1654, 1729, 539, 519, 3915, 6837, 5293, 547, 5368, 8063, 519, 14985, 282, 5518, 6723, 670, 15030, 269, 17312, 779, 1654, 1729, 3463, 15286, 1776, 4674, 269, 634, 14985, 1185, 15068, 835, 1863, 4633, 4161, 538, 476, 3422, 280, 950, 519, 10966, 7040, 909, 18988, 922, 1101, 268, 600, 10180, 11156, 1275, 269, 769, 922, 4466, 267, 590, 4596, 307, 4785, 26693, 9458, 685, 2924, 811, 8185, 982, 1346, 540, 3376, 322, 7539, 267, 609, 7744, 2094, 20402, 269, 769, 476, 2735, 278, 267, 519, 674, 6717, 1336, 519, 12876, 1145, 1684, 551, 9068, 26991, 519, 1101, 17203, 2924, 540, 3376, 322, 7539, 267, 1498, 1100, 5480, 814, 9619, 519, 13338, 2243, 269, 634, 3312, 14985, 779, 1857, 29027, 11865, 814, 1419, 1044, 1476, 3836, 609, 519, 3160, 4316, 4341, 267, 799, 1869, 6818, 267, 855, 1152, 585, 2797, 10457, 267, 711, 18793, 267, 543, 609, 17756, 269, 2480, 1117, 27968, 23079, 538, 11042, 267, 32026, 267, 543, 5544, 3377, 3795, 616, 23614, 269, 901, 10039, 547, 513, 2647, 24365, 540, 3292, 267, 1256, 968, 763, 17623, 8058, 892, 609, 15537, 2051, 6975, 267, 9913, 602, 3006, 2934, 10457, 607, 14538, 269, 9453, 513, 11134, 779, 25992, 5639, 610, 3239, 267, 519, 3160, 942, 4341, 3085, 1406, 4019, 269, 1290, 680, 11989, 941, 19429, 1996, 12689, 5710, 1023, 540, 1079, 16855, 5925, 10473, 1317, 789, 8959, 547, 2285, 3160, 942, 547, 18793, 540, 17044, 29583, 269, 8845, 21701, 779, 18545, 538, 513, 11291, 9550, 267, 1310, 519, 10473, 513, 1600, 1489, 585, 21701, 269, 634, 674, 6717, 538, 476, 1001, 275, 25323, 1346, 20286, 281, 968, 288, 12689, 324, 814, 3376, 24787, 1765, 22372, 593, 922, 1318, 547, 1863, 4633, 23121, 3442, 519, 5752, 602, 621, 11099, 5713, 519, 2115, 543, 4690, 540, 519, 2818, 540, 922, 5304, 1848, 2755, 621, 779, 15673, 532, 547, 28025, 16620, 519, 4473, 538, 851, 16388, 3377, 593, 519, 14985, 779, 27757, 267, 519, 3390, 568, 711, 865, 2241, 269, 667, 699, 326, 1637, 23185, 28051, 607, 8441, 538, 2029, 4957, 519, 2923, 1606, 3874, 269, 9608, 6947, 3457, 267, 585, 3236, 267, 1500, 5925, 779, 2575, 12043, 1447, 13267, 543, 1447, 19311, 269, 13185, 5280, 6445, 602, 20704, 269, 634, 12876, 1145, 1684, 551, 9068, 1281, 7639, 267, 538, 1857, 5717, 267, 1498, 621, 779, 1419, 6659, 676, 11122, 2510, 607, 513, 3090, 540, 9431, 936, 18943, 269, 1358, 3095, 621, 547, 2121, 29591, 267, 519, 2856, 602, 4950, 7426, 1058, 1521, 782, 1239, 519, 1482, 267, 2864, 982, 17979, 835, 1826, 540, 1543, 267, 3593, 267, 3760, 267, 3896, 267, 3937, 543, 971, 267, 936, 1776, 269, 1809, 713, 6240, 568, 13061, 547, 519, 12876, 1145, 1684, 551, 9068, 269, 634, 1152, 6252, 1063, 519, 1079, 2093, 267, 17292, 731, 4967, 538, 606, 4757, 5385, 267, 568, 602, 968, 18485, 616, 1857, 1719, 20038, 602, 616, 3843, 547, 2232, 5010, 4430, 525, 538, 2792, 1949, 1848, 1452, 2395, 267, 9271, 538, 19761, 543, 13671, 5010, 2923, 723, 14944, 1441, 1857, 29027, 3377, 269, 8889, 7459, 1223, 948, 11177, 1857, 3972, 269, 3703, 3376, 322, 7539, 1246, 968, 16746, 31717, 640, 892, 3652, 538, 2797, 3795, 267, 17292, 731, 4967, 267, 799, 22740, 3278, 2923, 10909, 543, 9458, 547, 3666, 269, 1548, 1522, 513, 476, 2641, 560, 2540, 5075, 540, 1857, 1719, 3795, 1413, 899, 286, 594, 15054, 713, 2243, 547, 17292, 731, 269, 968, 6546, 3377, 19093, 1058, 1745, 25997, 547, 3382, 1271, 3609, 2152, 689, 2789, 5380, 269, 1548, 267, 585, 1383, 267, 16737, 5240 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3299, 2715, 273, 281, 18358, 534, 28710, 476, 276, 281, 18358, 31435, 11172, 348, 994, 825, 1412, 31435, 7055, 825, 21188, 1265, 318, 743, 657, 652, 8548, 2255, 3488, 344, 749, 1195, 3299, 2715, 277, 281, 18358, 344, 3641, 3299, 1412, 528, 1052, 3299, 1412, 344, 749, 657, 11172, 348, 994, 825, 1412, 344, 749, 657, 7055, 825, 21188, 1265, 318, 743, 657, 652, 8548, 2255, 3488, 4047, 299, 4041, 3299, 2715, 273, 281, 18358, 534, 28710, 476, 276, 281, 18358, 31435, 11172, 348, 994, 825, 1412, 4047, 17247, 302, 7055, 825, 5727, 3097, 825, 1948, 9717, 2262, 609, 2063, 1915, 6569, 543, 10736, 547, 27608, 563, 825, 2016, 29999, 815, 4894, 9078, 770, 318, 10420, 27182, 994, 825, 2016, 29999, 318, 12294, 815, 2016, 29999, 31573, 10797, 825, 1948, 590, 9285, 1592, 540, 1913, 609, 1482, 3259, 607, 602, 540, 519, 2016, 3259, 563, 825, 1913, 318, 5976, 14682, 1508, 28747, 815, 15044, 5560, 5315, 314, 6352, 27182, 13580, 2020, 825, 585, 530, 538, 1913, 318, 5976, 14682, 1508, 28747, 912, 1038, 952, 4894, 9078, 770, 318, 10420, 26028, 264, 2652, 2016, 29999, 318, 12294, 912, 2018, 952, 2262, 15631, 272, 4940, 529, 21639, 10031, 3546, 2132, 2016, 29999, 1341, 530, 15631, 272, 4940, 21639, 4590, 2018, 3116, 912, 3546, 2132, 2016, 29999, 1341, 530, 15631, 272, 6540, 454, 3698, 568, 6831, 8091, 5334, 27542, 4433, 27542, 267, 8675, 2187, 825, 5727, 263, 1598, 267, 9598, 264, 9847, 536, 944, 692, 825, 6744, 952, 519, 2016, 4845, 814, 782, 519, 1913, 838, 3881, 7157, 780, 825, 21188, 568, 6831, 8091, 5334, 27542, 3488, 2171, 4682, 547, 519, 7260, 3299, 2715, 273, 281, 18358, 933, 3299, 1412, 1729, 28710, 476, 274, 281, 18358, 1492, 28710, 476, 275, 281, 18358, 20852, 28710, 476, 276, 281, 18358, 332, 990, 773, 11172, 348, 994, 825, 6936, 454, 825, 21188, 568, 6831, 8091, 5334, 27542, 3488, 310, 342, 6603, 972, 269, 3299, 2715, 273, 281, 18358, 933, 28710, 476, 276, 281, 18358, 11004, 28710, 476, 278, 281, 18358, 516, 3737, 11172, 348, 994, 825, 8771, 454, 825, 21188, 568, 6831, 8091, 5334, 27542, 3488, 296, 1590, 2893, 256, 3299, 2715, 272, 281, 18358, 328, 28710, 476, 274, 281, 18358, 25669, 28710, 476, 275, 281, 18358, 332, 755, 11172, 348, 994, 825, 8771, 454, 825, 8173, 825, 1913, 815, 1592, 318, 6919, 4433, 27542, 994, 825, 585, 2262, 538, 1913, 912, 1038, 952, 711, 1459, 18425, 18380, 27182, 267, 8675, 2187, 2018, 2132, 8771, 454, 825, 2132, 6936, 7531, 3698, 1592, 7272, 9417, 340, 725, 4433, 27542, 2187, 825, 5727, 263, 1598, 264, 9847, 630, 4289, 540, 1592, 609, 1496, 842, 267, 1193, 20285, 825, 17776, 513, 1592, 540, 8638, 609, 1142, 1016, 4289, 2348, 513, 18685, 30415, 264, 543, 454, 825, 519, 2990, 540, 602, 18685, 538, 519, 4845, 780, 825, 634, 1592, 814, 519, 5309, 9822, 725, 538, 519, 2810, 1931, 540, 519, 4994, 267, 1775, 4318, 1421, 454, 825, 519, 3977, 1592, 568, 15044, 2687, 547, 519, 4994, 780, 825, 21188, 4688, 7272, 9417, 340, 725, 3488, 3719, 267, 519, 7260, 729, 711, 782, 602, 1390, 269, 5073, 825, 20886, 274, 267, 1412, 10086, 3910, 1496, 4391, 267, 1412, 9538, 27663, 825, 21188, 4688, 7272, 9417, 340, 725, 3488, 288, 2731, 3728, 1286, 267, 594, 1590, 2161, 256, 5073, 825, 20886, 1704, 267, 1412, 10086, 3910, 1496, 3066, 267, 1412, 256, 11172, 2639, 825, 21188, 4688, 7272, 9417, 340, 725, 3488, 257, 15916, 972, 256, 2580, 646, 1767, 269, 5073, 825, 20886, 271, 267, 1412, 257, 28710, 1496, 1321, 267, 1412, 256, 28710, 1496, 1724, 267, 1412, 257, 28710, 1496, 1691, 267, 1412, 10086, 3910, 1496, 2537, 267, 1412, 9538, 27663, 825, 8173, 825, 5309, 9822, 725, 815, 29129, 825, 585, 4994, 267, 1347, 538, 26246, 4433, 27542, 2187, 1038, 952, 1347, 538, 1412, 319, 257, 26514, 3890, 24001, 281, 16427, 318, 23511, 286, 282, 270, 315, 347, 265, 317, 258, 287, 12466, 2018, 5309, 9822, 725, 6910, 8443, 8161, 267, 1347, 20285, 825, 2132, 5309, 9822, 725, 7531, 3698, 2953, 5334, 27542, 4433, 27542, 267, 8675, 2187, 825, 5727, 263, 1598, 267, 9598, 264, 9847, 1193, 692, 825, 17776, 513, 4845, 609, 782, 519, 1913, 838, 3881, 7157, 780, 825, 21188, 2953, 5334, 27542, 3488, 310, 342, 6603, 972, 269, 3299, 2715, 273, 281, 18358, 933, 28710, 476, 276, 281, 18358, 11004, 28710, 476, 278, 281, 18358, 516, 3737, 11172, 348, 994, 825, 1412, 2171, 6603, 972, 25692, 825, 21188, 2953, 5334, 27542, 3488, 296, 1590, 2893, 256, 3299, 2715, 272, 281, 18358, 328, 28710, 476, 274, 281, 18358, 25669, 28710, 476, 275, 281, 18358, 332, 755, 11172, 348, 994, 825, 1412, 296, 1590, 2161, 256, 7055, 825, 21188, 2953, 5334, 27542, 3488, 15916, 267, 544, 600, 269, 3299, 2715, 274, 281, 18358, 2006, 28710, 476, 276, 281, 18358, 31435, 11172, 348, 994, 825, 1412, 15916, 267, 544, 600, 25692, 825, 8173, 825, 5309, 9822, 725, 815, 1592, 7272, 9417, 340, 725, 4433, 27542, 2020, 825, 1913, 815, 1592, 318, 6919, 4433, 27542, 2020, 825, 1007, 5334, 27542, 815, 15234, 692, 825, 585, 2262, 538, 1913, 912, 1038, 952, 1459, 18425, 18380, 27182, 267, 8675, 2187, 2018, 1007, 5334, 27542, 6834, 2262, 1341, 1412, 1412, 454, 1038, 3116, 912, 2018, 1007, 5334, 27542, 6834, 1265, 318, 743, 657, 652, 8548, 2255, 27182, 267, 8675, 264, 1341, 1412, 1412, 692, 825, 1948, 17179, 519, 3043, 2230, 1175, 1310, 519, 2063, 2262, 454, 825, 1007, 5334, 27542, 815, 4894, 9078, 770, 318, 10420, 28956, 5334, 27542, 2020, 825, 1948, 23453, 1394, 519, 5309, 9822, 725, 454, 825, 585, 533, 538, 5309, 9822, 725, 912, 1038, 1007, 5334, 27542, 815, 1007, 5334, 27542, 11468, 335, 314, 271, 14963, 1341, 533, 314, 272, 316, 1341, 1007, 5334, 27542, 314, 335, 314, 271, 13912, 6540, 825, 2132, 1007, 5334, 27542, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1104, 19523, 454, 825, 9598, 4067, 815, 19523, 27769, 341, 314, 272, 2639, 825, 1449, 4067, 815, 19523, 27769, 341, 314, 273, 2639, 825, 609, 1930, 5560, 1112, 4067, 267, 1412, 337, 10807, 607, 9598, 12803, 912, 1038, 1913, 815, 11713, 1038, 585, 1899, 538, 9598, 12803, 912, 2018, 1913, 269, 2169, 754, 17338, 318, 6919, 263, 1467, 4917, 825, 8675, 815, 1711, 5091, 5315, 263, 6919, 994, 825, 1449, 12803, 815, 1930, 6025, 652, 4067, 267, 1412, 337, 5073, 825, 5220, 815, 1592, 5334, 550, 1878, 6025, 652, 12803, 18667, 15405, 825, 1449, 12803, 25379, 4590, 825, 585, 4845, 538, 5220, 912, 1038, 952, 711, 568, 6831, 8091, 5334, 27542, 4433, 27542, 267, 8675, 2187, 2018, 1820, 2953, 5334, 27542, 4433, 27542, 267, 8675, 994, 0, 18411, 3721, 338, 585, 4946, 513, 1007, 4806, 912, 272, 269, 8073, 1007, 14318, 1599, 1210, 519, 10959, 454, 273, 269, 5410, 519, 1007, 14318, 1599, 547, 519, 1305, 15031, 1181, 6467, 3948, 454, 274, 269, 21561, 519, 695, 28984, 15031, 1181, 3890, 1599, 781, 28219, 842, 676, 476, 272, 454, 18257, 692, 18411, 2304, 11582, 9577, 22276, 912, 3698, 9577, 10031, 825, 2518, 14318, 454, 825, 14318, 815, 9577, 454, 825, 1948, 338, 754, 579, 31389, 5569, 454, 825, 631, 2464, 6347, 12283, 815, 834, 31262, 4840, 825, 1124, 330, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 32707, 16165, 4456, 994, 825, 1124, 330, 4732, 754, 1729, 263, 2421, 5052, 29687, 2464, 6347, 12283, 267, 834, 583, 325, 268, 279, 19823, 630, 308, 7894, 318, 7709, 267, 772, 7894, 318, 303, 18306, 4917, 18257, 692, 258, 5814, 3366, 454, 5814, 8848, 454, 5814, 14839, 454, 5814, 28416, 692, 258, 5814, 824, 454, 5814, 4778, 903, 454, 5814, 942, 454, 5814, 8142, 532, 454, 5814, 23094, 454, 5814, 4351, 7531, 19399, 23834, 15477, 3201, 966, 2752, 296, 5723, 299, 2464, 476, 19399, 2971, 7462, 454, 18431, 4537, 28984, 815, 476, 271, 454, 3333, 28984, 291, 4851, 815, 476, 1015, 269, 271, 454, 3333, 4428, 1782, 309, 815, 8771, 454, 13195, 4537, 4428, 1782, 309, 815, 8771, 454, 3333, 4428, 2401, 815, 8142, 532, 11053, 25534, 263, 272, 269, 271, 267, 1820, 994, 3333, 4428, 2401, 6155, 320, 655, 517, 815, 6936, 454, 308, 7894, 318, 7709, 815, 8848, 269, 308, 7894, 318, 7709, 454, 308, 7894, 318, 303, 18306, 815, 8848, 269, 308, 7894, 318, 303, 18306, 454, 9690, 14106, 815, 834, 4840, 9690, 21760, 815, 2715, 257, 337, 9899, 476, 14838, 267, 834, 326, 9899, 14838, 267, 834, 321, 9899, 14838, 8679, 529, 305, 7342, 815, 8771, 19638, 19399, 31266, 2207, 12164, 4629, 11862, 476, 19399, 2971, 7462, 454, 3698, 593, 10031, 825, 1820, 2891, 534, 11582, 593, 5602, 825, 14318, 10797, 3698, 1055, 10031, 825, 1820, 2891, 534, 11582, 1055, 5602, 825, 2518, 14318, 454, 825, 2518, 729, 4537, 4428, 1782, 309, 454, 825, 952, 14318, 2652, 14650, 912, 1038, 952, 695, 4428, 1782, 309, 912, 2018, 729, 4537, 4428, 1782, 309, 815, 6936, 454, 1038, 3247, 4590, 825, 8640, 14318, 2652, 1376, 4537, 28984, 15031, 1181, 912, 1038, 3247, 4537, 28984, 4590, 825, 631, 2464, 6347, 12283, 815, 834, 4752, 4840, 825, 1124, 330, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 32707, 16165, 4456, 994, 825, 1124, 330, 4732, 754, 1729, 263, 2421, 5052, 29687, 2464, 6347, 12283, 267, 834, 583, 325, 268, 279, 19823, 630, 308, 7894, 318, 7709, 267, 772, 7894, 318, 303, 18306, 11723, 692, 19399, 20793, 2839, 2207, 28132, 4629, 11862, 476, 19399, 2971, 7462, 454, 3698, 1305, 289, 2431, 1145, 263, 1962, 697, 1145, 2187, 825, 1820, 2891, 534, 11582, 6505, 5886, 5602, 825, 1820, 263, 1962, 697, 1145, 994, 825, 631, 2464, 6347, 12283, 815, 1412, 1962, 697, 1145, 15079, 8339, 8971, 263, 1962, 697, 1145, 994, 825, 1124, 330, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 32707, 16165, 4456, 994, 825, 1124, 330, 4732, 754, 1729, 263, 2421, 5052, 29687, 2464, 6347, 12283, 267, 834, 583, 325, 268, 279, 19823, 630, 308, 7894, 318, 7709, 267, 772, 7894, 318, 303, 18306, 11723, 3698, 1305, 11854, 539, 4433, 32497, 2187, 825, 1820, 2891, 534, 11582, 17726, 5602, 825, 1820, 4433, 32497, 994, 825, 3432, 24961, 815, 2715, 272, 281, 1428, 267, 476, 273, 281, 1789, 267, 476, 274, 281, 2568, 267, 476, 275, 281, 6344, 267, 476, 276, 281, 13301, 267, 476, 277, 281, 21878, 8679, 825, 631, 2464, 6347, 12283, 815, 1412, 14588, 539, 15079, 8339, 8971, 4433, 32497, 24961, 314, 14588, 539, 7481, 825, 1124, 330, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 32707, 16165, 4456, 994, 825, 1124, 330, 4732, 754, 1729, 263, 2421, 5052, 29687, 2464, 6347, 12283, 267, 834, 583, 325, 268, 279, 19823, 630, 308, 7894, 318, 7709, 267, 772, 7894, 318, 303, 18306, 11723, 692, 19399, 623, 2969, 9898, 301, 4888, 296, 7246, 16739, 476, 19399, 2971, 7462, 454, 3698, 1305, 15031, 1181, 263, 6312, 1181, 2187, 825, 4806, 21803, 815, 834, 4840, 825, 952, 14318, 2652, 14650, 912, 1038, 3247, 4590, 825, 952, 4806, 2652, 476, 271, 912, 1038, 4806, 21803, 815, 834, 4537, 28984, 4840, 1038, 1376, 4537, 28984, 15031, 1181, 4590, 825, 8640, 4806, 2652, 476, 272, 912, 1038, 4806, 21803, 815, 834, 14503, 1662, 4840, 1038, 8755, 4590, 825, 8640, 4806, 2652, 476, 273, 912, 1038, 4806, 21803, 815, 834, 293, 1228, 4840, 1038, 28201, 4590, 825, 8640, 4806, 2652, 476, 274, 912, 1038, 4806, 21803, 815, 834, 305, 664, 11312, 4840, 1038, 22774, 4590, 825, 8640, 4806, 2652, 476, 275, 912, 1038, 4806, 21803, 815, 834, 305, 664, 11312, 2060, 3794, 7867, 4840, 1038, 22774, 4415, 10908, 7867, 4590, 825, 8640, 4806, 2652, 476, 276, 912, 1038, 4806, 21803, 815, 834, 290, 14125, 4840, 1038, 8927, 517, 4590, 825, 8640, 4806, 2652, 476, 277, 912, 1038, 4806, 21803, 815, 834, 306, 514, 601, 517, 4840, 1038, 5609, 601, 517, 4590, 825, 8640, 4806, 2652, 476, 278, 912, 1038, 4806, 21803, 815, 834, 18183, 31899, 4840, 1038, 1476, 31899, 4590, 825, 8640, 4806, 2652, 476, 279, 912, 1038, 4806, 21803, 815, 834, 289, 15014, 4840, 1038, 536, 10975, 4590, 825, 8640, 4806, 2652, 476, 280, 912, 1038, 4806, 21803, 815, 834, 297, 10212, 548, 4840, 1038, 5104, 24327, 4590, 825, 3116, 912, 1038, 4806, 21803, 815, 834, 13286, 3502, 513, 23694 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 968, 31078, 940, 689, 519, 8419, 7345, 538, 519, 5045, 547, 519, 11908, 543, 17665, 10665, 5608, 8776, 328, 700, 5407, 267, 5883, 8689, 585, 14223, 1895, 11202, 540, 519, 23202, 615, 267, 1767, 563, 9515, 3773, 281, 968, 288, 4448, 23725, 528, 786, 948, 6705, 543, 678, 4545, 1667, 267, 786, 6536, 9235, 543, 9205, 18883, 267, 543, 948, 2149, 938, 4105, 2067, 2200, 899, 938, 20950, 543, 938, 7320, 267, 1519, 519, 8419, 20562, 615, 3034, 6097, 547, 519, 2475, 12551, 543, 13812, 6796, 267, 519, 8419, 20562, 615, 568, 968, 1492, 1152, 1634, 9960, 2551, 540, 533, 6373, 538, 519, 9456, 2136, 2276, 9731, 1103, 1931, 547, 581, 3144, 1055, 519, 8594, 1592, 267, 519, 8419, 20562, 615, 2115, 1614, 3964, 5095, 543, 6190, 7226, 547, 1489, 1346, 2831, 563, 2108, 299, 1343, 3874, 14479, 568, 1898, 585, 2647, 8573, 4474, 2249, 899, 519, 8419, 3109, 7703, 543, 519, 20562, 615, 2223, 700, 5407, 1767, 267, 4946, 281, 968, 1103, 519, 2013, 540, 519, 8419, 20562, 615, 267, 596, 723, 513, 2462, 3032, 1818, 513, 6051, 538, 513, 942, 1141, 2462, 7314, 1472, 519, 1158, 616, 2731, 538, 7771, 269, 634, 8419, 13812, 4856, 5090, 528, 2337, 2327, 519, 7226, 568, 6870, 585, 519, 2249, 538, 10419, 8462, 3034, 3719, 4220, 2611, 269, 634, 3056, 2014, 540, 2669, 585, 8419, 20562, 1667, 568, 4867, 3991, 7781, 16580, 267, 543, 700, 5407, 3081, 519, 2034, 3056, 2014, 540, 2669, 568, 16857, 15539, 609, 824, 20562, 1667, 267, 28978, 676, 3668, 540, 7226, 563, 8448, 2831, 602, 4966, 3589, 1131, 4324, 689, 9450, 7320, 23725, 832, 1331, 519, 6206, 13650, 267, 519, 8419, 812, 622, 324, 543, 2845, 3455, 3650, 4262, 16015, 563, 6097, 547, 519, 1875, 17416, 3919, 8419, 13812, 4856, 5090, 528, 267, 519, 8574, 3118, 1131, 7854, 5176, 476, 1704, 332, 14143, 269, 6168, 476, 1015, 332, 14143, 616, 2907, 6870, 267, 1247, 1776, 476, 277, 269, 280, 332, 540, 796, 31695, 14143, 616, 1500, 909, 540, 2324, 11396, 543, 10443, 2583, 269, 1656, 476, 4200, 273, 3957, 8933, 543, 12535, 3444, 519, 1858, 267, 799, 849, 2882, 476, 276, 267, 10204, 5195, 540, 18162, 563, 763, 8419, 13812, 4856, 5090, 528, 2920, 5293, 609, 513, 476, 12893, 268, 271, 8917, 538, 519, 8419, 1533, 2777, 543, 609, 513, 476, 2412, 268, 271, 8917, 538, 519, 1533, 6845, 622, 3735, 2063, 3923, 563, 25187, 16234, 20366, 547, 28286, 1269, 1911, 332, 547, 8419, 5983, 591, 267, 519, 1533, 779, 5726, 543, 18883, 3338, 11601, 1982, 267, 543, 8815, 547, 2322, 1269, 4968, 332, 689, 5313, 17003, 7616, 2509, 5726, 563, 299, 5407, 3081, 1352, 568, 23904, 519, 17294, 786, 1129, 519, 9086, 267, 15663, 602, 519, 957, 568, 519, 1267, 540, 519, 968, 13905, 540, 7366, 540, 1004, 892, 936, 513, 1297, 540, 1296, 267, 1519, 5159, 267, 5726, 1235, 267, 6705, 267, 13278, 2006, 267, 4786, 16234, 543, 3744, 563, 1103, 5988, 267, 519, 27924, 12551, 543, 10794, 8189, 630, 2839, 293, 294, 264, 9307, 513, 11556, 547, 8831, 519, 4005, 585, 18896, 10122, 543, 29212, 2066, 519, 1533, 593, 1857, 543, 4357, 2244, 269, 634, 594, 5263, 294, 6035, 513, 2698, 540, 5722, 10122, 18747, 543, 5216, 29212, 18747, 563, 1103, 2489, 267, 519, 18747, 2832, 547, 8831, 782, 10122, 543, 29212, 3255, 267, 1519, 547, 912, 2704, 869, 1032, 15778, 18896, 29212, 593, 4357, 2244, 454, 15307, 28344, 513, 476, 1321, 18881, 18896, 10122, 4005, 1533, 4204, 454, 2704, 869, 946, 540, 2879, 4100, 538, 930, 10122, 4559, 267, 1519, 519, 10122, 4559, 602, 8473, 31803, 2817, 5244, 454, 2704, 869, 29212, 593, 1857, 3338, 538, 27623, 543, 7013, 27924, 454, 2839, 293, 294, 568, 16561, 1857, 6085, 593, 519, 18747, 998, 5988, 476, 1839, 267, 476, 1708, 272, 269, 898, 1152, 3217, 513, 1906, 3764, 547, 6085, 543, 707, 3646, 786, 723, 513, 7096, 1764, 593, 27924, 20384, 563, 1692, 547, 19410, 454, 18800, 891, 5528, 543, 1287, 4945, 519, 7735, 547, 6085, 563, 15152, 519, 4544, 7333, 1676, 1160, 1842, 1023, 543, 19410, 11270, 267, 4945, 593, 519, 4544, 25873, 782, 1160, 1842, 1023, 7735, 563, 1103, 519, 19410, 19662, 3296, 267, 896, 15661, 267, 2824, 22630, 16423, 689, 519, 6749, 1524, 1592, 543, 4945, 519, 4544, 15233, 7735, 563, 12812, 519, 4544, 5623, 543, 19410, 7735, 538, 519, 1101, 4737, 563, 9928, 2651, 1524, 547, 519, 4544, 1160, 27760, 7333, 1676, 563, 15675, 594, 798, 711, 1489, 713, 11556, 585, 782, 18747, 563, 11767, 22227, 267, 952, 5551, 269, 630, 4467, 906, 616, 18593, 8094, 11767, 707, 2012, 267, 4757, 543, 2749, 563, 12812, 519, 4544, 4427, 2466, 7735, 563, 5475, 14467, 4427, 2466, 267, 596, 786, 581, 2699, 20526, 547, 519, 1292, 18747, 2985, 269, 19244, 3268, 476, 272, 1107, 476, 279, 585, 519, 6967, 18747, 269, 4467, 618, 3767, 454, 3725, 3517, 547, 11534, 846, 16423, 15391, 532, 543, 3004, 6137, 454, 27409, 2130, 568, 513, 18642, 267, 2895, 24191, 267, 543, 12475, 24854, 1505, 540, 11318, 2831, 563, 7212, 2879, 4100, 616, 5497, 547, 6146, 519, 2831, 3533, 267, 2899, 2879, 1563, 1472, 519, 8405, 267, 20384, 666, 1869, 2661, 585, 909, 547, 1079, 2395, 267, 543, 538, 930, 2665, 3564, 269, 590, 3534, 637, 798, 711, 723, 519, 2702, 547, 3533, 11904, 20384, 17499, 269, 10815, 982, 476, 2004, 260, 540, 666, 1749, 630, 342, 11510, 543, 31352, 4925, 264, 9676, 676, 519, 8405, 538, 11318, 8405, 2879, 4100, 6336, 9637, 1369, 2947, 3764, 282, 2669, 949, 2097, 1310, 3108, 610, 2395, 267, 4470, 593, 519, 11318, 12117, 540, 519, 2879, 732, 543, 519, 4908, 540, 11564, 676, 911, 13827, 269, 630, 303, 709, 331, 343, 717, 1421, 14339, 339, 6390, 667, 269, 476, 1001, 280, 994, 4462, 762, 547, 1863, 2933, 267, 519, 1100, 846, 7444, 11912, 1055, 1973, 10009, 689, 18896, 779, 2212, 547, 741, 2295, 282, 29285, 267, 519, 25558, 573, 16050, 8952, 23028, 1973, 883, 519, 2634, 269, 3973, 519, 2634, 2220, 20635, 909, 2394, 519, 18896, 779, 2212, 1011, 3941, 269, 3004, 13827, 3277, 891, 22224, 9843, 607, 968, 329, 11481, 9843, 3034, 2252, 513, 18896, 1965, 7870, 267, 789, 2461, 1869, 609, 519, 2879, 732, 1472, 741, 8405, 269, 2353, 519, 1247, 267, 519, 2879, 732, 8952, 7444, 9395, 2287, 267, 2324, 922, 1259, 998, 519, 12404, 543, 519, 17145, 540, 519, 18896, 563, 9199, 1186, 616, 967, 4593, 3234, 3729, 267, 11318, 1082, 1875, 2389, 13759, 2831, 538, 1840, 547, 20384, 563, 9199, 1186, 616, 967, 4593, 3234, 3729, 267, 13830, 1346, 711, 5497, 585, 519, 15972, 267, 1519, 13155, 2831, 267, 10130, 543, 1004, 267, 543, 666, 4734, 8628, 2168, 3441, 547, 4376, 602, 4991, 9575, 269, 12292, 7985, 1928, 267, 8194, 543, 2566, 950, 4371, 676, 20637, 267, 543, 1799, 984, 28895, 2831, 666, 1995, 18024, 267, 14000, 267, 11784, 14001, 1582, 2173, 583, 7976, 267, 4598, 547, 4365, 543, 32456, 267, 782, 540, 799, 13822, 3662, 28877, 563, 310, 11510, 798, 711, 723, 513, 2942, 1764, 593, 27924, 779, 1714, 330, 2551, 563, 2839, 293, 294, 2829, 789, 616, 9750, 18896, 10122, 543, 29212, 12405, 538, 2127, 1141, 968, 601, 330, 5095, 616, 896, 6662, 892, 855, 519, 1533, 779, 1714, 330, 2551, 568, 693, 2282, 24406, 752, 2157, 269, 634, 1699, 2551, 7447, 538, 27924, 568, 811, 982, 476, 6344, 267, 1822, 1714, 330, 267, 1175, 476, 275, 260, 2630, 519, 782, 6066, 5207, 1293, 540, 476, 10219, 267, 1822, 269, 769, 476, 1960, 276, 267, 519, 1482, 1032, 20384, 941, 32543, 22004, 547, 27924, 267, 519, 1714, 330, 2551, 729, 6059, 547, 581, 476, 12208, 267, 18357, 563, 298, 3739, 20384, 5012, 2047, 547, 811, 13184, 22975, 676, 519, 16701, 1709, 540, 18896, 1920, 2516, 563, 2839, 293, 294, 6811, 9450, 10122, 12405, 616, 2556, 547, 968, 516, 706, 576, 13184, 1244, 1042, 725, 892, 855, 713, 814, 1044, 1201, 3176, 676, 3875, 9263, 24595, 2090, 269, 12824, 693, 6115, 3557, 2160, 1336, 602, 585, 1169, 18896, 7166, 538, 27924, 267, 23497, 543, 29131, 936, 519, 2250, 476, 1839, 1296, 267, 972, 729, 513, 476, 276, 2600, 2333, 538, 519, 13265, 543, 12418, 7166, 519, 1985, 1032, 269, 918, 3739, 20384, 3123, 1920, 2516, 630, 335, 2931, 264, 547, 23650, 267, 1419, 4611, 538, 519, 13389, 540, 4443, 10352, 630, 3256, 4382, 13184, 264, 2864, 982, 811, 4101, 10352, 630, 333, 894, 796, 326, 12885, 1916, 288, 1353, 676, 3173, 693, 519, 2160, 540, 16855, 5336, 611, 2581, 2982, 602, 2229, 11318, 540, 20384, 666, 2333, 519, 1981, 547, 7404, 11396, 267, 3246, 2417, 2963, 585, 519, 13546, 977, 4369, 540, 519, 865, 10777, 968, 548, 11209, 1852, 892, 3609, 1935, 563, 27306, 22840, 779, 3778, 540, 16423, 5004, 454, 7712, 5313, 20038, 585, 27924, 20384, 941, 24850, 538, 476, 1001, 272, 267, 519, 1533, 814, 1500, 2312, 922, 15752, 547, 968, 2006, 720, 892, 20384, 609, 513, 5230, 1688, 269, 3502, 1152, 1281, 519, 26155, 3557, 7254, 794, 7347, 512, 15577, 18896, 10122, 270, 10177, 6137, 12405, 267, 621, 849, 3964, 513, 1533, 968, 310, 6504, 3493, 1042, 566, 6513, 8274, 892, 593, 799, 27924, 23348, 1269, 6110, 267, 1822, 12422, 547, 608, 32558, 622, 20384, 267, 1419, 676, 19666, 575, 7342, 267, 543, 1256, 538, 19069, 2127, 563, 763, 15231, 2829, 540, 23497, 543, 29131, 5702, 11604, 27924, 779, 2126, 540, 20384, 269, 23497, 12551, 267, 13812, 543, 20088, 568, 3981, 532, 547, 8831, 519, 18896, 10122, 543, 29212, 12405, 538, 32720, 23497, 269, 1403, 519, 18747, 616, 9516, 676, 519, 12551, 543, 13812, 8189, 267, 789, 1131, 912, 1700, 30771, 519, 29212, 4005, 547, 2253, 519, 11728, 1310, 21175, 543, 1439, 4728, 476, 1428, 1107, 14190, 911, 13827, 547, 2879, 732, 20384, 454, 1103, 29131, 267, 18896, 10122, 568, 3656, 476, 18458, 2395, 513, 1032, 2066, 476, 5952, 260, 540, 519, 1533, 267, 1141, 20384, 616, 9286, 607, 9496, 6823, 1606, 697, 2357, 2381, 269, 717, 12584, 267, 2879, 4100, 267, 14885, 1161, 267, 18114, 267, 543, 6777, 332, 24213, 1107, 3592, 1022, 1106, 540, 5208, 568, 4847, 547, 6146, 20384, 1107, 1256, 11299, 609, 1762, 4996, 1186, 563, 1320, 748, 1343, 540, 20384, 723, 1044, 7166, 585, 512, 15577, 538, 27924, 267, 23497, 267, 543, 29131, 2094, 476, 1001, 272, 269, 634, 4639, 949, 581, 3552, 267, 855, 922, 7320, 4507, 616, 15319, 569, 15877, 563, 289, 745, 3250, 320, 3968, 267, 610, 20015, 3250, 2670, 267, 729, 2899, 513, 2603, 811, 1455, 269, 3509, 2831, 538, 519, 3552, 666, 4163, 891, 4551, 267, 607, 666, 13184, 269, 769, 930, 2477, 267, 513, 1455, 2012, 585, 519, 2068, 729, 968, 2998, 520, 8611, 892, 1765, 14683, 2775, 532, 513, 1360, 1455, 10835, 543, 3662, 2707, 269, 4033, 1455, 4191, 540, 3968, 1331, 24852, 267, 9854, 267, 543, 2597, 2530, 269, 2859, 10355, 267, 519, 4551, 666, 28117, 519, 8401, 1062, 267, 4929, 3978, 6553, 538, 519, 2634, 543, 14715, 2589, 899, 4049, 14331, 267, 23069, 267, 543, 2242, 538, 2623, 563, 7712, 519, 2038, 476, 736, 628, 2540, 267, 1498, 267, 3646, 547, 16826, 856, 20015, 3250, 2670, 723, 1044, 7361, 3811, 269, 1703, 779, 606, 2139, 6669, 585, 13184, 267, 1247, 2477, 899, 519, 772, 2529, 269, 22991, 1449, 585, 25362, 3250, 320, 538, 16933, 269, 634, 1184, 540, 13594, 584, 1436, 267, 799, 4991, 7759, 540, 1082, 2068, 27351, 6748, 4551, 538, 10683, 2472, 267, 814, 2417, 22485, 519, 1981, 540, 4598, 269, 1452, 2395, 267, 538, 1249, 267, 519, 1906, 2665, 540, 20015, 3250, 2670, 538, 519, 772, 2529, 269, 4080, 12422, 616, 2356, 13615, 547, 1004, 10438, 6151, 267, 10002, 4292, 28962, 5144, 610, 10381, 269, 1809, 713, 1007, 2013, 1353, 267, 3370, 538, 22720, 297, 8865, 18614, 713, 3923, 267, 5267, 602, 10122, 949, 581, 1776, 2707, 540, 3968, 585, 3425, 563, 6097, 547, 519, 1867, 267, 519, 812, 1185, 1044, 7231, 609, 8611, 267, 15677, 267, 543, 824, 20060, 24594, 2589, 7133, 1585, 2694, 540, 1010, 1560, 585, 476, 1556, 3275, 676, 519, 942, 646, 4718, 7189, 693, 519, 25832, 18669, 538, 12722, 6807, 267, 8419, 269, 9717, 1010, 4080, 2648, 540, 10122, 535, 1968, 14918, 30867, 7769, 602, 4163, 741, 1378, 2249, 540, 25362, 3250, 320, 4551, 9789, 7189, 16143, 543, 9672, 602, 646, 1185, 5778, 321, 745, 3250, 2670, 269, 1261, 729, 1287, 2016, 606, 3573, 1576, 540, 11216, 30375 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3476, 4309, 1022, 7943, 269, 6124, 4944, 3639, 4043, 547, 2736, 1524, 23182, 936, 942, 547, 1831, 851, 540, 519, 11003, 269, 2791, 666, 3382, 519, 14786, 609, 22890, 4494, 1318, 593, 1283, 865, 602, 621, 5654, 811, 10694, 563, 2691, 596, 616, 3395, 19155, 538, 707, 5214, 4677, 267, 2119, 21066, 4620, 1154, 707, 19155, 2443, 2901, 609, 519, 13869, 540, 707, 1688, 610, 1945, 899, 513, 6656, 540, 21312, 2443, 2899, 610, 7466, 1142, 1554, 269, 898, 4992, 20868, 267, 855, 972, 568, 2965, 8810, 1382, 602, 2982, 713, 2337, 519, 2371, 1332, 563, 4407, 12202, 1418, 1227, 3340, 811, 960, 982, 12202, 609, 519, 948, 540, 6464, 267, 621, 568, 8902, 543, 811, 11815, 4328, 982, 2834, 12202, 269, 2755, 6464, 2709, 606, 2653, 3070, 547, 1082, 1455, 12202, 2042, 267, 3395, 1418, 1227, 568, 513, 1390, 8007, 547, 627, 727, 591, 22655, 707, 3132, 563, 3849, 3286, 707, 14450, 2687, 547, 4005, 543, 2916, 269, 1280, 1383, 267, 952, 707, 2916, 568, 18519, 543, 3636, 267, 18519, 2916, 14450, 519, 3762, 666, 2014, 6978, 17343, 563, 3080, 3364, 602, 568, 5214, 568, 602, 5010, 13851, 616, 711, 1031, 269, 2755, 713, 568, 1390, 267, 596, 786, 1869, 991, 547, 2638, 5702, 585, 12961, 610, 17494, 563, 3528, 11544, 1919, 909, 543, 9544, 538, 1585, 9634, 267, 596, 616, 4227, 519, 8458, 540, 14124, 707, 2371, 563, 10932, 27386, 5521, 15969, 799, 666, 581, 3730, 538, 678, 27570, 707, 4677, 540, 10860, 269, 7849, 5521, 15969, 666, 3006, 6146, 10860, 811, 3532, 982, 10991, 13851, 269, 1717, 267, 27386, 5521, 15969, 949, 711, 2063, 607, 1279, 1317, 540, 741, 6211, 1118, 5725, 267, 27386, 5521, 15969, 1419, 723, 1360, 3728, 9178, 5712, 543, 14897, 6385, 563, 2252, 596, 2030, 14274, 267, 2119, 9544, 513, 1007, 1305, 540, 14274, 4010, 1614, 4374, 1310, 596, 2030, 519, 1101, 16801, 269, 901, 2306, 2386, 602, 596, 616, 711, 538, 1495, 730, 609, 513, 11931, 3761, 547, 14274, 543, 2569, 606, 936, 629, 1495, 766, 693, 1022, 2016, 942, 563, 288, 4677, 666, 581, 6738, 676, 4896, 267, 855, 538, 1931, 547, 723, 513, 4677, 602, 7472, 519, 1655, 7031, 267, 1697, 12202, 1702, 568, 2877, 269, 2422, 519, 5214, 4388, 538, 713, 2376, 269, 0, 29919, 4641, 630, 23623, 264, 568, 513, 6385, 3395, 2029, 602, 568, 30507, 519, 1259, 1004, 2170, 609, 1142, 824, 269, 15283, 568, 513, 2780, 24378, 1604, 602, 2636, 3755, 547, 1995, 513, 20533, 1158, 269, 898, 568, 4742, 5051, 2442, 607, 513, 1259, 547, 1921, 609, 1866, 538, 513, 811, 15138, 543, 7317, 1259, 563, 23623, 2029, 814, 1044, 1472, 585, 5756, 267, 855, 621, 814, 1152, 5063, 1831, 3015, 547, 519, 2489, 1857, 269, 2060, 519, 948, 540, 9843, 1115, 267, 3755, 666, 4283, 513, 5691, 1158, 543, 2170, 609, 1866, 538, 513, 811, 10853, 1259, 269, 901, 2029, 814, 1044, 1031, 538, 11080, 267, 2069, 267, 543, 1256, 3797, 563, 23623, 814, 519, 1761, 547, 22499, 519, 1259, 1004, 5968, 609, 1142, 824, 269, 898, 2636, 3755, 547, 2170, 609, 1142, 824, 538, 513, 811, 2067, 1259, 267, 607, 952, 789, 941, 538, 519, 1482, 4055, 269, 901, 666, 581, 2523, 6225, 585, 1346, 945, 616, 8572, 547, 2743, 538, 1268, 1813, 547, 3845, 610, 824, 2188, 563, 23623, 849, 814, 519, 1761, 547, 1711, 811, 6209, 4296, 1063, 1004, 269, 1635, 3850, 3755, 547, 1995, 513, 20533, 1158, 267, 789, 666, 2263, 543, 2170, 609, 1142, 824, 538, 513, 811, 6209, 1259, 269, 901, 666, 1291, 547, 4514, 7391, 543, 811, 6209, 3347, 563, 23623, 568, 849, 1373, 1031, 547, 1711, 811, 15138, 2833, 269, 1280, 1383, 267, 930, 3549, 616, 1210, 15283, 547, 1711, 5691, 19150, 540, 741, 2472, 610, 2533, 269, 901, 2636, 5561, 547, 1205, 513, 1732, 1620, 540, 1018, 789, 616, 9140, 1354, 789, 1118, 513, 6718, 563, 7661, 267, 15283, 568, 1373, 1031, 547, 1711, 811, 2502, 2833, 269, 14992, 616, 1210, 15283, 547, 1711, 5691, 2621, 267, 971, 607, 30145, 610, 5026, 3756, 269, 901, 2636, 3755, 547, 1995, 2621, 538, 513, 811, 10853, 1259, 267, 607, 952, 789, 941, 2965, 972, 563, 14454, 267, 15283, 568, 513, 6385, 3395, 2029, 602, 568, 30507, 519, 1259, 1004, 2170, 609, 1142, 824, 269, 898, 814, 519, 1761, 547, 1711, 811, 6209, 4296, 1063, 1004, 267, 1711, 811, 15138, 2833, 267, 543, 1711, 811, 2502, 2833, 269, 1306, 15283, 2029, 5170, 547, 11457, 267, 621, 786, 1831, 606, 1256, 811, 3532, 1907, 585, 8220, 609, 1866, 269, 0, 1432, 798, 3347, 1063, 1349, 762, 8407, 543, 3037, 5214, 3327, 9830, 1611, 888, 15100, 476, 1708, 272, 634, 22439, 269, 14606, 3163, 5980, 540, 3013, 4750, 9736, 476, 1708, 272, 14606, 3163, 5980, 540, 3013, 454, 3674, 19405, 2986, 454, 292, 19223, 267, 12472, 543, 5029, 1143, 531, 10334, 454, 2704, 26891, 630, 2704, 9984, 543, 4401, 630, 8722, 9984, 321, 8960, 6886, 267, 2523, 2110, 24365, 268, 23912, 630, 306, 4629, 264, 11775, 267, 616, 2219, 547, 2149, 3037, 5214, 3327, 630, 306, 8016, 1040, 1717, 267, 621, 3788, 1505, 10999, 4101, 547, 2708, 519, 3310, 540, 1325, 5288, 269, 3171, 6886, 610, 4496, 23838, 269, 24641, 590, 4629, 1325, 543, 3171, 11775, 2671, 930, 3601, 267, 1325, 15702, 676, 3404, 531, 622, 630, 2704, 2135, 264, 1419, 31426, 6793, 609, 590, 8016, 982, 3171, 15702, 676, 3404, 531, 622, 630, 8722, 2135, 264, 610, 3632, 3603, 603, 542, 924, 630, 293, 21967, 1040, 1677, 2417, 6218, 891, 3347, 267, 649, 9916, 513, 1804, 3345, 1977, 3037, 10471, 689, 519, 2817, 26954, 25076, 8416, 630, 20911, 2177, 1040, 589, 2178, 2078, 1063, 1325, 2135, 543, 590, 8016, 630, 663, 21260, 3171, 2135, 4149, 8016, 2078, 264, 30174, 1256, 1310, 27195, 11934, 3638, 538, 590, 4629, 6886, 630, 4517, 529, 11169, 543, 1975, 617, 657, 11169, 1040, 1325, 2135, 729, 9244, 17047, 609, 3632, 3433, 1673, 603, 542, 924, 1349, 762, 1325, 630, 2704, 7251, 282, 9386, 284, 271, 269, 10844, 267, 681, 273, 284, 271, 269, 7597, 1070, 543, 27753, 1223, 581, 6045, 630, 305, 273, 284, 271, 269, 9262, 264, 676, 3152, 27072, 540, 1325, 28175, 560, 21114, 3171, 11775, 676, 3632, 3433, 1673, 603, 542, 924, 267, 543, 3152, 27072, 540, 10186, 657, 32281, 919, 676, 3404, 531, 622, 269, 1325, 2135, 543, 1325, 7251, 941, 1312, 2178, 590, 8016, 30661, 5103, 741, 18312, 3347, 609, 13339, 630, 31333, 1040, 1325, 2135, 543, 590, 8610, 9244, 23656, 539, 630, 305, 273, 284, 271, 269, 8064, 1070, 855, 1325, 7251, 729, 24081, 1836, 1644, 547, 24558, 323, 630, 305, 273, 284, 271, 269, 1240, 1040, 5381, 3347, 540, 1325, 2135, 543, 1325, 7251, 609, 590, 8016, 5103, 3604, 538, 6886, 13939, 676, 3404, 531, 622, 543, 3632, 3433, 1673, 603, 542, 924, 2303, 602, 1325, 268, 8016, 23838, 32737, 10353, 547, 10186, 657, 559, 6510, 610, 4401, 321, 8960, 6886, 1765, 26200, 519, 1655, 590, 8016, 27667, 269, 901, 12651, 1271, 2055, 281, 798, 1325, 268, 8016, 23838, 5815, 4027, 689, 17883, 610, 3274, 2992, 3152, 8515, 540, 7777, 29056, 676, 5214, 7408, 267, 543, 952, 519, 8545, 267, 1287, 5310, 590, 8016, 3403, 568, 6117, 1325, 2135, 543, 590, 8016, 21374, 2864, 982, 1325, 5123, 5888, 610, 11606, 563, 1607, 568, 519, 9263, 12649, 4528, 540, 519, 1739, 2376, 281, 8065, 267, 24697, 808, 1421, 543, 26826, 16399, 269, 834, 1432, 798, 3347, 1063, 1349, 762, 8407, 543, 3037, 5214, 3327, 9830, 1611, 286, 1701, 14606, 3163, 5980, 540, 3013, 4750, 269, 630, 1708, 272, 1070, 799, 814, 1044, 3370, 538, 3803, 1106, 693, 20396, 281, 1015, 269, 1911, 273, 4882, 1690, 273, 269, 10711, 6246, 269, 901, 2376, 949, 581, 1031, 585, 1875, 10687, 14293, 5301, 538, 13076, 609, 25067, 16301, 543, 17148, 585, 2422, 540, 8682, 5025, 337, 577, 1882, 12411, 687, 269, 901, 2376, 949, 711, 581, 8476, 267, 23353, 610, 6382, 9927, 883, 513, 12045, 960, 267, 1510, 2769, 10479, 689, 25067, 610, 676, 27152, 2924, 896, 10858, 9086, 269, 14645, 711, 1182, 1590, 711, 581, 6569, 267, 25848, 3293, 610, 9168, 269, 634, 2376, 1590, 581, 5532, 547, 25067, 779, 4528, 540, 2594, 593, 25067, 6732, 7732, 543, 1022, 32750, 267, 25194, 610, 6382, 1818, 2139, 519, 2376, 610, 3817, 23476, 676, 3791, 6105, 689, 5867, 267, 2533, 543, 7270, 824, 982, 25067, 6732, 7732, 1590, 581, 19275, 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 ]
[ 546, 11459, 322, 2675, 3287, 264, 815, 910, 20799, 3287, 264, 322, 2675, 3287, 994, 13981, 2979, 814, 2760, 1044, 4443, 563, 7476, 19957, 1569, 547, 811, 982, 476, 15757, 10531, 4245, 543, 476, 10170, 7317, 26732, 563, 1911, 260, 1981, 1863, 269, 595, 30327, 20471, 563, 9928, 2651, 547, 5440 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23063, 6672, 1923, 4934, 2492, 11406, 347, 19203, 347, 19203, 2008, 347, 670, 4575, 1035, 27163, 1282, 5162, 1923, 6936, 11406, 347, 2398, 21403, 824, 2831, 693, 6105, 1923, 8771, 11406, 347, 8490, 6946, 24181, 1923, 6936, 11406, 347, 932, 2084, 1310, 21743, 3615, 1923, 8771, 1923, 692, 16269, 4121, 602, 1412, 12148, 262, 6719, 10995, 543, 7229, 7592, 1247, 1412, 16178, 262, 1129, 1881, 19450, 543, 20437, 3527, 269, 1677, 948, 4137, 856, 27388, 781, 1985, 1847, 267, 789, 18705, 513, 15931, 14069, 13214, 1927, 1384, 257, 10345, 22268, 1915, 18386, 10177, 527, 20978, 27388, 18040, 16730, 23063, 6672, 815, 1412, 283, 2908, 18386, 338, 527, 6672, 285, 262, 5016, 2026, 789, 4797, 19234, 609, 1114, 7653, 267, 1945, 6397, 5949, 910, 27388, 9575, 2842, 540, 741, 1544, 543, 1404, 2685, 12012, 1010, 1378, 2623, 267, 6028, 22123, 543, 15207, 7138, 1194, 269, 4014, 789, 4769, 1405, 1205, 519, 5551, 2164, 267, 789, 7691, 602, 1620, 543, 9027, 908, 1866, 262, 3527, 3884, 1405, 2141, 2653, 267, 2523, 950, 7231, 609, 20437, 2043, 269, 1809, 7488, 267, 741, 7045, 6026, 873, 3407, 4245, 827, 2257, 267, 11505, 267, 543, 519, 2956, 540, 6998, 2219, 4538, 2055, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 11693, 513, 14069, 6538, 609, 513, 3349, 3957, 834, 309, 19921, 2580, 5627, 513, 1630, 18978, 6241, 3957, 834, 30726, 4671, 11681, 2580, 1141, 3020, 4564, 606, 10995, 543, 7229, 16023, 267, 543, 7301, 4564, 606, 19450, 543, 20437, 16023, 269, 4635, 519, 3177, 3871, 543, 4093, 607, 1239, 267, 1018, 13214, 666, 581, 1031, 547, 3589, 27388, 781, 2623, 538, 513, 1007, 3510, 286, 1215, 666, 7954, 543, 17429, 794, 581, 4294, 547, 3313, 519, 2953, 1630, 18978, 1871, 585, 27388, 781, 1915, 16023, 286, 6153, 9939, 2336, 2414, 3589, 27388, 781, 2623, 538, 513, 1007, 3510, 1210, 519, 3177, 1239, 267, 649, 666, 946, 14069, 14511, 547, 5659, 519, 4093, 540, 3105, 3871, 543, 3313, 2436, 27388, 17820, 10995, 543, 7229, 2623, 610, 19450, 543, 20437, 2623, 269, 3097, 2690, 1383, 267, 1577, 781, 2161, 649, 723, 519, 1739, 1239, 912, 347, 23063, 6672, 1923, 4934, 2492, 11406, 347, 1366, 19203, 347, 1366, 268, 2008, 347, 589, 1363, 1923, 6936, 825, 11406, 347, 645, 1363, 1923, 8771, 567, 11406, 347, 595, 1363, 1923, 6936, 825, 11406, 347, 667, 1363, 1923, 8771, 567, 11406, 2414, 3313, 27388, 781, 1915, 16023, 585, 513, 1007, 3510, 267, 649, 666, 946, 519, 1739, 13214, 912, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 634, 22547, 540, 4201, 1993, 2109, 538, 476, 2641, 560, 31588, 1722, 3943, 9085, 692, 8505, 1993, 2109, 267, 513, 5339, 9135, 602, 24025, 26249, 543, 5708, 267, 814, 4810, 1713, 2208, 538, 476, 2641, 560, 10601, 3943, 3332, 269, 634, 2165, 729, 22579, 676, 5395, 613, 8935, 15842, 341, 20391, 538, 1010, 3209, 674, 2812, 630, 3192, 278, 1070, 16287, 519, 4098, 540, 513, 5951, 540, 5830, 945, 1131, 946, 741, 1378, 2729, 607, 6151, 1570, 585, 741, 14070, 1568, 269, 1809, 1018, 2306, 1313, 1993, 2109, 865, 13267, 538, 4207, 3943, 3332, 286, 1656, 875, 1281, 621, 2992, 6626, 2686, 10593, 2921, 1747, 538, 2486, 286, 2913, 781, 2263, 891, 2055, 998, 519, 7828, 540, 519, 8574, 3177, 780, 4263, 922, 4295, 267, 1313, 1993, 2109, 11394, 547, 4161, 2757, 6302, 1063, 1249, 543, 5708, 267, 5168, 543, 7301, 3125, 267, 1582, 543, 824, 269, 898, 1419, 3322, 1950, 6386, 602, 20747, 519, 3515, 1063, 17728, 543, 9345, 267, 9870, 2055, 827, 519, 2470, 540, 3961, 543, 6041, 269, 1280, 3236, 267, 519, 8574, 19528, 834, 296, 1027, 4934, 623, 622, 330, 10218, 324, 1234, 2364, 320, 2437, 799, 949, 3100, 899, 606, 8966, 4358, 1448, 585, 513, 4901, 593, 1313, 1993, 2109, 269, 1717, 267, 2390, 6251, 14791, 267, 649, 1294, 875, 17195, 29167, 4196, 607, 6698, 540, 4567, 543, 8321, 566, 267, 1454, 899, 519, 1259, 4589, 540, 1313, 1993, 2109, 3343, 547, 21592, 741, 2123, 2833, 547, 1945, 811, 8471, 543, 6209, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3725, 680, 11986, 1912, 2158, 594, 1027, 4934, 623, 622, 330, 10218, 324, 1234, 2364, 320, 769, 25253, 330, 454, 1607, 1007, 12450, 2070, 543, 519, 1034, 2442, 4006, 269, 2311, 519, 2063, 5870, 267, 519, 1101, 20387, 30021, 666, 581, 8719, 676, 513, 1970, 4544, 17684, 269, 901, 568, 711, 519, 476, 2641, 560, 2540, 267, 855, 6368, 5950, 538, 519, 476, 2641, 560, 2540, 563, 15812, 589, 269, 2349, 534, 3832, 543, 12751, 15445, 20229, 269, 901, 568, 519, 1483, 25414, 26436, 267, 855, 621, 786, 948, 547, 1711, 14182, 269, 4634, 952, 15480, 518, 517, 23951, 560, 656, 514, 568, 711, 5078, 585, 2828, 543, 1148, 267, 713, 9219, 568, 849, 1360, 3730, 585, 707, 24158, 269, 634, 2199, 942, 1369, 476, 2190, 3108, 269, 769, 519, 476, 3192, 271, 338, 646, 14059, 476, 5367, 856, 1909, 343, 16995, 476, 2412, 6515, 269, 589, 281, 769, 476, 1001, 276, 267, 519, 4457, 20894, 568, 5258, 883, 1079, 11775, 269, 13437, 666, 581, 9280, 609, 513, 11909, 4154, 25231, 2280, 269, 7053, 267, 4058, 267, 1920, 543, 2828, 616, 1360, 6126, 267, 1272, 723, 513, 6126, 1272, 267, 6158, 827, 8788, 543, 8788, 267, 4708, 543, 4708, 269, 2290, 568, 594, 1027, 4934, 623, 622, 330, 10218, 324, 1234, 2364, 320, 1500, 540, 22927, 543, 16276, 543, 5697, 26797, 269, 6624, 7965, 616, 6849, 1164, 5777, 538, 2504, 19206, 269, 634, 4457, 4528, 540, 590, 778, 16308, 554, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 22547, 540, 4201, 1993, 2109, 538, 476, 2641, 560, 31588, 1722, 3943, 9085, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 5333, 1315, 476, 2641, 560, 11416, 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, 476, 274, 281, 23830, 692, 8702, 1394, 267, 8049, 8186, 256, 1284, 4126, 596, 1185, 607, 1454, 1187, 1565, 827, 22606, 640, 607, 649, 1705, 3450, 621, 269, 3767, 267, 1577, 781, 4685, 883, 938, 1985, 3078, 1888, 281, 6041, 256, 5620, 596, 2479, 5129, 609, 2679, 7161, 286, 2107, 6148, 6537, 513, 4605, 547, 2769, 875, 596, 1745, 286, 1452, 2238, 4125, 2870, 11269, 1107, 2081, 540, 1210, 835, 3364, 630, 3697, 7161, 610, 22916, 976, 264, 547, 1796, 585, 1945, 3116, 630, 320, 14500, 610, 513, 6126, 3068, 1040, 2334, 781, 1018, 5042, 3744, 1611, 950, 789, 2911, 827, 2790, 11269, 281, 1210, 835, 3364, 538, 938, 2247, 547, 2099, 1945, 3116, 856, 972, 538, 519, 1158, 780, 4131, 781, 1376, 676, 10747, 930, 1271, 2474, 1384, 265, 589, 3090, 568, 4376, 602, 6763, 585, 1945, 3116, 269, 769, 513, 4604, 3014, 267, 18062, 666, 581, 6698, 8204, 2338, 282, 538, 1893, 267, 1913, 616, 6698, 585, 3615, 267, 2093, 267, 3527, 267, 3092, 563, 265, 1323, 4835, 6041, 568, 513, 2790, 3090, 1031, 1369, 938, 2634, 547, 948, 721, 1118, 2631, 540, 1919, 1472, 721, 269, 898, 1223, 581, 513, 3280, 267, 3239, 267, 4743, 267, 9329, 267, 6492, 267, 610, 1256, 3350, 2336, 265, 7402, 5317, 4016, 547, 13321, 1344, 689, 3544, 938, 12058, 883, 891, 4835, 11269, 269, 5463, 5317, 1797, 24758, 1346, 4835, 9479, 1394, 883, 6209, 2833, 780, 3086, 4952, 2370, 15207, 6499, 547, 2721, 1010, 5172, 3662, 267, 27683, 256, 1879, 646, 14659, 827, 27683, 267, 1585, 10444, 11378, 19334, 1114, 2694, 540, 1010, 2634, 267, 8108, 606, 2949, 12705, 540, 513, 20259, 269, 3571, 4064, 1522, 11291, 922, 10058, 10538, 2681, 543, 3109, 26145, 282, 1010, 10772, 949, 3314, 741, 2620, 1332, 3149, 282, 5310, 8823, 540, 4620, 1154, 513, 2571, 3032, 2097, 547, 2247, 1932, 269, 2353, 891, 11353, 540, 1344, 1205, 23876, 883, 513, 2582, 2790, 3090, 1765, 20755, 3240, 779, 1378, 2123, 968, 339, 9528, 892, 11090, 780, 9202, 942, 15207, 12034, 513, 1483, 20259, 693, 519, 23291, 610, 29167, 513, 17245, 10023, 873, 267, 1010, 2634, 1232, 3941, 519, 19670, 3308, 1239, 1996, 713, 6740, 20259, 10959, 267, 9301, 10486, 1063, 4641, 543, 3965, 269, 901, 1184, 2337, 1864, 2697, 543, 1921, 14156, 609, 519, 15999, 28458, 1354, 1864, 780, 2026, 596, 1294, 267, 1175, 899, 4730, 609, 9162, 610, 5373, 5961, 267, 2790, 11269, 1450, 721, 547, 2170, 25006, 609, 519, 7122, 269, 1358, 3337, 711, 1152, 875, 649, 13498, 855, 849, 875, 649, 2601, 267, 1451, 267, 5968, 267, 4194, 2042, 267, 543, 1106, 3347, 269, 4197, 6041, 10741, 9885, 547, 26762, 811, 7096, 3344, 540, 1480, 17133, 267, 971, 607, 8226, 267, 3007, 267, 7553, 267, 3375, 1818, 267, 5876, 267, 9345, 267, 9637, 267, 543, 5841, 4987, 780, 4517, 7058, 1018, 286, 1411, 782, 4865, 713, 6909, 1379, 1318, 3330, 707, 9843, 256, 1215, 3579, 568, 602, 26834, 5901, 3695, 543, 3251, 22934, 585, 811, 4241, 4030, 883, 519, 22539, 7706, 540, 5042, 2257, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 3519, 24632, 12983, 538, 15465, 3163, 257, 5497, 585, 1762, 1453, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 3525, 983, 640, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 274, 269, 23830, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 274, 269, 272, 269, 9502, 540, 6041, 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, 8855, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474, 0, 6092, 5149, 281, 4197, 7756, 21126, 281, 589, 6733, 883, 3778, 543, 5980, 692, 8893, 281, 10289, 519, 11806, 266, 11873, 998, 519, 30776, 540, 519, 11785, 11557, 20280, 531, 692, 7072, 912, 5970, 596, 2479, 4862, 540, 519, 2165, 834, 299, 294, 6630, 304, 266, 257, 1354, 286, 898, 6763, 585, 15776, 15487, 267, 22985, 267, 645, 21361, 267, 3690, 14054, 267, 6581, 518, 270, 9223, 532, 267, 543, 1866, 945, 2697, 607, 851, 540, 713, 2146, 269, 901, 2146, 814, 5185, 1082, 2591, 2429, 1686, 267, 855, 789, 723, 849, 1500, 1713, 7418, 547, 2486, 269, 4653, 267, 649, 786, 1451, 827 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7822, 12005, 15894, 281, 2073, 8592, 22846, 1133, 643, 32220, 4338, 299, 267, 25763, 3194, 2382, 563, 5522, 19513, 568, 811, 10477, 982, 649, 666, 1294, 269, 7822, 1239, 543, 2592, 540, 938, 9891, 3590, 781, 1034, 4583, 21221, 4541, 267, 3144, 676, 519, 18951, 1715, 21222, 976, 14361, 1282, 922, 8038, 2421, 538, 5147, 267, 723, 1044, 25274, 5916, 547, 2285, 606, 8476, 2070, 540, 713, 3504, 1158, 23242, 606, 30122, 1762, 2627, 269, 634, 12286, 8476, 2681, 3239, 568, 711, 1152, 1609, 24312, 7168, 855, 23963, 3730, 267, 1818, 2627, 4525, 540, 18312, 3114, 5888, 11617, 3982, 269, 1280, 1383, 267, 519, 1769, 23469, 2295, 11057, 570, 4861, 2795, 3204, 1470, 593, 519, 2539, 1318, 568, 5693, 3254, 1934, 547, 581, 16883, 883, 1079, 4525, 602, 616, 2520, 10999, 1114, 267, 609, 519, 2451, 2865, 27914, 590, 1584, 23364, 4643, 636, 849, 17729, 29099, 5347, 269, 1715, 21222, 976, 1631, 5170, 593, 3564, 32624, 267, 786, 3136, 547, 11237, 1394, 811, 2592, 543, 1239, 267, 543, 786, 4166, 581, 9859, 547, 1689, 1576, 865, 602, 621, 666, 8038, 2250, 20503, 476, 1001, 275, 631, 308, 7597, 538, 476, 1001, 280, 5130, 563, 5522, 19513, 16103, 609, 16684, 4112, 534, 725, 281, 6673, 7495, 32624, 9612, 10843, 519, 3618, 454, 300, 4029, 281, 634, 1656, 668, 20364, 30982, 12005, 15894, 1299, 14645, 281, 7917, 717, 754, 2401, 454, 1432, 568, 519, 14282, 2101, 14925, 547, 938, 1378, 27305, 10158, 30982, 286, 1656, 668, 20364, 269, 769, 1249, 267, 938, 30982, 568, 2219, 547, 1413, 1454, 899, 1656, 668, 20364, 269, 8625, 891, 1079, 15270, 20441, 519, 10871, 6828, 540, 15270, 269, 634, 27556, 1769, 689, 1656, 668, 20364, 568, 3361, 676, 519, 7366, 540, 17542, 540, 6801, 602, 17492, 621, 269, 634, 1896, 3982, 6801, 602, 3295, 1656, 668, 20364, 781, 3239, 616, 2965, 6801, 538, 938, 30982, 602, 616, 1134, 538, 4395, 540, 519, 4282, 1843, 269, 1656, 668, 20364, 568, 4749, 5219, 547, 607, 631, 4029, 2094, 621, 568, 519, 476, 4029, 560, 1843, 593, 11619, 1512, 781, 1592, 540, 27556, 6607, 3615, 269, 631, 4029, 568, 865, 11397, 621, 3217, 827, 1079, 2929, 1296, 585, 1769, 547, 3914, 721, 689, 972, 269, 4014, 7298, 1510, 5351, 267, 519, 1657, 3239, 540, 631, 4029, 568, 513, 3059, 24463, 540, 476, 736, 14604, 3144, 609, 513, 1507, 16263, 269, 13518, 827, 631, 4029, 3788, 7164, 267, 1519, 4010, 875, 1279, 621, 786, 1354, 621, 2458, 1938, 609, 938, 1753, 14925, 454, 18439, 707, 17807, 281, 15932, 6673, 7495, 31098, 680, 19513, 8476, 12039, 11406, 763, 1530, 698, 1638, 3026, 321, 3121, 4144, 2678, 4024, 553, 577, 22349, 549, 4211, 629, 6839, 454, 288, 3376, 1163, 534, 572, 540, 30437, 3154, 543, 7452, 6799, 513, 6177, 6438, 1471, 720, 547, 19936, 689, 4541, 3047, 267, 11021, 922, 2442, 1395, 32304, 910, 634, 1530, 698, 1638, 3026, 321, 3121, 269, 901, 17855, 540, 519, 17184, 6177, 6227, 513, 476, 272, 269, 277, 4110, 2647, 2220, 987, 2066, 519, 7077, 540, 519, 27305, 10158, 267, 2282, 519, 4287, 540, 11184, 3780, 267, 13672, 5182, 540, 519, 26424, 2052, 529, 11683, 269, 2986, 1576, 267, 519, 3148, 2882, 3615, 609, 824, 17048, 1374, 725, 281, 16113, 15726, 290, 476, 22446, 278, 267, 513, 11741, 267, 7452, 344, 12998, 3148, 609, 606, 11251, 7372, 5182, 602, 3029, 519, 6177, 781, 2212, 630, 10440, 519, 3474, 8527, 3026, 321, 3121, 267, 1657, 4099, 1040, 12358, 3990, 676, 519, 26070, 16657, 540, 10570, 7250, 267, 519, 1950, 540, 3154, 543, 7452, 12269, 609, 6505, 1762, 6801, 21269, 936, 476, 1911, 1769, 26188, 693, 606, 6059, 476, 274, 267, 8517, 1769, 4458, 3845, 563, 303, 6269, 529, 589, 8111, 2617, 320, 3816, 333, 656, 5213, 7108, 2006, 454, 7804, 1508, 676, 519, 16411, 540, 513, 7372, 5182, 267, 31975, 320, 20276, 656, 28523, 529, 589, 568, 1025, 8463, 883, 519, 4478, 26300, 15362, 5420, 827, 476, 278, 267, 1822, 1769, 26188, 2476, 269, 2311, 602, 3845, 267, 713, 10477, 12382, 8084, 2361, 1759, 593, 29577, 543, 7522, 7171, 9804, 3239, 1239, 568, 827, 476, 2568, 1769, 26188, 2066, 269, 1306, 519, 31975, 320, 20276, 656, 21040, 883, 922, 804, 17056, 267, 1875, 10595, 6134, 10450, 267, 28280, 2083, 14613, 540, 5135, 8444, 16657, 538, 3039, 15918, 826, 24698, 269, 25756, 543, 9436, 616, 538, 2699, 269, 8752, 689, 519, 3355, 31975, 320, 3294, 267, 15427, 676, 519, 12900, 540, 519, 7372, 5182, 781, 4295, 267, 1131, 723, 6603, 3047, 827, 476, 274, 267, 10384, 1296, 3516, 269, 634, 28523, 529, 589, 20276, 656, 568, 2965, 2938, 998, 856, 2391, 12998, 689, 519, 6251, 855, 811, 3504, 966, 11253, 31975, 320, 20276, 656, 267, 2282, 519, 22125, 7077, 540, 938, 27305, 10158, 14925, 269, 12846, 30437, 2066, 519, 13590, 8552, 28523, 529, 589, 3788, 835, 540, 519, 6505, 652, 2959, 538, 519, 2473, 11920, 6607, 454, 763, 14066, 13192, 540, 7395, 749, 534, 12005, 15894, 1299, 14645, 281, 24883, 12876, 321, 1515, 333, 454, 763, 476, 1626, 628, 2540, 14082, 4044, 1807, 30544, 7395, 749, 534, 543, 1010, 12284, 1185, 7899, 540, 942, 547, 1353, 519, 7013, 6607, 1282, 519, 1101, 2235, 4379, 3572, 566, 540, 4541, 3047, 269, 1306, 513, 1267, 267, 1079, 27967, 6531, 6438, 3615, 3362, 7298, 547, 7013, 21571, 6607, 326, 1794, 619, 616, 1634, 607, 519, 1849, 10796, 540, 7395, 749, 534, 267, 1631, 6956, 547, 581, 9682, 15270, 540, 938, 1454, 3677, 267, 18700, 27305, 10158, 14925, 269, 6168, 476, 8182, 267, 1822, 1769, 26188, 11397, 538, 519, 26424, 16910, 5964, 267, 519, 14066, 7395, 749, 23307, 13192, 630, 299, 10157, 264, 568, 2938, 1934, 538, 513, 26526, 2620, 267, 10477, 267, 3239, 269, 1975, 8911, 827, 476, 1428, 267, 1822, 1769, 26188, 610, 865, 267, 621, 568, 519, 1034, 7372, 540, 519, 27305, 10158, 781, 9682, 15270, 543, 568, 519, 1753, 540, 519, 14191, 31975, 320, 538, 2413, 2053, 267, 19301, 476, 2735, 278, 288, 269, 634, 7986, 15429, 2630, 4099, 568, 476, 1789, 16910, 611, 639, 267, 849, 1634, 607, 519, 15999, 570, 5875, 3121, 3026, 321, 3121, 267, 568, 513, 9649, 5182, 268, 14127, 3148, 827, 476, 272, 267, 1822, 1769, 26188, 2066, 563, 17686, 5407, 476, 274, 4200, 281, 634, 3213, 520, 670, 9734, 3627, 932, 636, 871, 454, 3674, 713, 10359, 554, 9734, 513, 5182, 12440, 610, 606, 14531, 1143, 286, 901, 17184, 13793, 5346, 814, 1044, 23503, 936, 1454, 540, 2063, 2540, 267, 607, 19936, 9289, 2436, 713, 10822, 22811, 23724, 1043, 1843, 568, 2731, 513, 9308, 2404, 1930, 12440, 610, 513, 4960, 16879, 269, 26554, 5182, 20327, 616, 1634, 607, 14531, 3359, 267, 606, 1383, 540, 799, 568, 519, 2442, 8262, 667, 23124, 269, 10765, 5730, 7403, 689, 1114, 642, 656, 720, 2798, 538, 519, 3047, 781, 10739, 1472, 519, 6129, 723, 20114, 15739, 335, 656, 16070, 10593, 10834, 602, 519, 3213, 520, 670, 9734, 568, 1732, 4330, 607, 606, 14531, 1143, 269, 19612, 811, 18005, 607, 7502, 5407, 476, 274, 4200, 267, 713, 6505, 24974, 23454, 568, 9962, 982, 519, 2407, 7599, 543, 6013, 538, 519, 26424, 540, 519, 16737, 630, 309, 592, 701, 1529, 320, 1916, 4338, 7495, 568, 849, 2139, 538, 281, 12428, 289, 1695, 14505, 24414, 290, 7614, 534, 267, 4457, 267, 4457, 267, 16231, 267, 10656, 267, 674, 1513, 328, 267, 674, 1513, 328, 267, 8895, 1122, 334, 267, 4436, 267, 3943, 267, 12355, 267, 5545, 267, 11114, 267, 3933, 1084, 1122, 12541, 267, 14470, 267, 6739, 267, 5395, 15487, 267, 6215, 8576, 1014, 267, 2073, 21487, 267, 610, 12395, 12360, 523, 2230, 0, 3528, 3220, 18238, 717, 17311, 454, 8310, 8242, 476, 1001, 272, 268, 6349, 268, 1704, 454, 763, 11135, 540, 4477, 580, 565, 663, 645, 697, 634, 4477, 580, 565, 663, 645, 697, 568, 519, 12701, 540, 1216, 1055, 5125, 781, 2101, 3345, 7256, 3490, 540, 12070, 515, 916, 6409, 523, 269, 634, 6370, 602, 12217, 922, 2012, 729, 10692, 538, 513, 10539, 540, 20893, 543, 688, 2763, 593, 476, 2764, 4864, 476, 4489, 275, 267, 950, 513, 3703, 4323, 3366, 676, 2155, 617, 648, 570, 10455, 3369, 8636, 729, 15841, 593, 4436, 9381, 29862, 338, 910, 1210, 519, 3196, 540, 6861, 619, 543, 20140, 1149, 1759, 693, 4498, 16049, 563, 763, 986, 573, 729, 4988, 676, 18219, 4229, 267, 1519, 21470, 31288, 19468, 1399, 781, 3532, 1412, 290, 745, 16014, 10414, 589, 3299, 519, 3689, 11135, 14265, 16014, 8293, 611, 1258, 543, 519, 3689, 8752, 14265, 16014, 8293, 611, 1258, 267, 855, 519, 5106, 729, 2261, 1042, 676, 4057, 5234, 960, 269, 19468, 1399, 729, 1152, 2366, 856, 693, 519, 2063, 8792, 267, 543, 519, 1292, 31487, 1705, 711, 1256, 917, 646, 729, 4947, 563, 2691, 2962, 729, 8678, 267, 570, 10455, 3369, 8636, 1185, 7784, 2042, 609, 1010, 6216, 1007, 17514, 1222, 267, 519, 1769, 2267, 16014, 3657, 628, 25901, 267, 799, 729, 5734, 676, 513, 7387, 689, 513, 4436, 2267, 16014, 269, 2859, 4436, 2267, 23924, 7902, 547, 5397, 1055, 519, 3703, 6861, 619, 269, 634, 1554, 729, 10710, 676, 19468, 1399, 267, 18674, 676, 1079, 811, 6370, 2267, 23924, 547, 1118, 2947, 538, 782, 269, 8422, 4436, 2267, 23924, 543, 513, 6861, 518, 941, 5555, 3141, 330, 269, 3143, 3703, 9635, 941, 4503, 267, 855, 3657, 628, 25901, 543, 1079, 8697, 3703, 6861, 619, 1185, 547, 581, 6287, 539, 1753, 269, 634, 3703, 1500, 1454, 540, 741, 11802, 267, 855, 1369, 519, 13108, 972, 729, 17140, 269, 589, 1732, 9709, 5106, 1223, 723, 2944, 865, 1454, 1732, 563, 1607, 2985, 568, 1655, 9763, 538, 606, 909, 3562, 15082, 1357, 11422, 609, 2511, 9212, 630, 16430, 264, 13087, 269, 2755, 596, 786, 581, 2111, 547, 2070, 519, 1543, 540, 713, 2985, 538, 707, 1699, 11422, 267, 596, 786, 711, 581, 2111, 547, 1205, 519, 2407, 3308, 1995, 269, 7490, 2015, 18175, 15665, 707, 11422, 3301, 610, 7175, 2511, 9212, 630, 16430, 264, 952, 596, 616, 2111, 547, 798, 865, 269, 0, 7709, 910, 5769, 16257, 454, 9638, 1258, 6407, 607, 5094, 5022, 264, 10374, 585, 5769, 16257, 269, 7379, 23403, 519, 3898, 540, 21168, 267, 849, 1572, 3611, 22329, 267, 543, 519, 5466, 10325, 269, 4107, 5121, 9192, 7379, 609, 513, 2362, 7400, 7014, 1572, 28298, 6513, 16257, 630, 307, 9573, 1070, 799, 20964, 513, 5691, 4276, 1063, 513, 10278, 543, 513, 2707, 563, 7709, 676, 3294, 568, 1945, 899, 519, 2022, 531, 1062, 269, 898, 2636, 596, 547, 2232, 513, 10189, 543, 6749, 621, 538, 519, 1062, 267, 855, 972, 781, 1100, 1463, 3095, 1063, 596, 543, 519, 18579, 269, 27427, 270, 7709, 267, 593, 519, 824, 1688, 267, 20964, 513, 4276, 1063, 1079, 14747, 865, 602, 789, 666, 6494, 6835, 1394, 543, 8521, 585, 513, 1974, 540, 942, 563, 763, 1699, 4528, 540, 7379, 568, 7379, 341, 275, 269, 589, 1007, 4528, 267, 1572, 7379, 341, 277, 610, 7379, 978, 267, 568, 896, 1646, 563, 9596, 827, 1142, 540, 519, 2947, 5481, 540, 5904, 543, 2101, 2029, 7835, 602, 723, 3366, 547, 519, 1699, 3457, 602, 649, 946, 2221, 269, 3367, 2859, 9732, 22102, 6355, 16373, 781, 4279, 652, 670, 1080, 454, 763, 1739, 28094, 540, 1507, 1870, 6725, 4388, 8711, 930, 540, 519, 4274, 5796, 3370, 936, 693, 9540, 6355, 17270, 269, 3367, 2859, 9732, 1724, 7454, 5131, 15692, 29393, 454, 5804, 5150, 20261, 547, 3561, 11049, 267, 938, 1283, 1863, 1590, 3620, 1511, 8924, 723, 1044, 15951, 267, 12649, 543, 3957, 519, 1655, 1863, 15692, 8924, 540, 476, 1001, 276, 269, 3367, 2859, 19314, 4415, 1942, 543, 3354, 538, 2247, 267, 649, 1413, 693, 2947, 6531, 4859, 3681, 602, 786, 9290, 519, 2115, 540, 1034, 1753, 543, 590, 11586, 5411, 269, 3367, 2859, 9732, 20360, 3298, 476, 1015, 9669, 585, 30325, 9008, 7193, 454, 26668, 2596, 4388, 547, 948, 596, 21160, 8837, 476, 1015, 593, 707, 18376, 7193, 269, 3367, 2859, 9732, 3066, 5131, 15692, 29393, 585, 22418, 21178, 571, 5529, 4841, 454, 5804, 530, 871, 344, 15372, 23234, 547, 11000, 10689, 2645, 543, 1310, 1362, 9913, 267, 891, 15692, 8924, 616, 513, 1434, 3514, 585, 513, 2875, 781, 1272, 543, 6578, 269, 3367, 2859, 19314, 26835, 909, 547, 4266, 593, 519, 5767, 7835, 538, 5769, 16166, 609, 513, 1863, 12353, 20394, 689, 5680, 31638, 269, 15012, 547, 24049, 1631, 563, 268, 13772, 13096, 14212, 781, 9375, 6276, 7395, 340, 790, 9793, 5180, 14456, 5717, 609, 10509 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6124, 1382, 814, 1031, 5959, 2963, 547, 22942, 950, 11864, 1101, 7902, 563, 1607, 1382, 729, 3370, 538, 4750, 540, 22845, 563, 763, 1353, 267, 606, 3486, 5698, 3366, 676, 519, 8549, 2160, 540, 21586, 9835, 324, 798, 590, 592, 630, 308, 15709, 14899, 1070, 538, 5800, 334, 589, 5586, 516, 267, 8478, 267, 799, 849, 3769, 3173, 689, 3751, 779, 5441, 5507, 543, 519, 7849, 3778, 7467, 538, 5507, 267, 5177, 267, 8947, 2539, 28287, 540, 15455, 540, 5696, 553, 559, 31788, 9076, 9771, 13453, 10856, 13355, 3662, 602, 5030, 827, 476, 18597, 2929, 1296, 3516, 563, 26046, 540, 519, 1114, 2208, 5933, 6029, 5694, 1646, 538, 1142, 540, 519, 15455, 3177, 2963, 602, 789, 941, 519, 3788, 540, 513, 25850, 563, 2691, 1705, 11864, 2408, 888, 7093, 16227, 621, 729, 1634, 602, 519, 942, 950, 11864, 7902, 729, 476, 13078, 2929, 1296, 3516, 269, 901, 1007, 1382, 5267, 606, 4505, 5920, 540, 476, 736, 2929, 1296, 563, 2108, 18128, 2064, 689, 875, 519, 7202, 819, 729, 3710, 1282, 1646, 568, 2629, 543, 17046, 538, 6029, 602, 5696, 553, 559, 31788, 729, 513, 25850, 269, 3776, 960, 22705, 519, 24970, 593, 519, 7521, 827, 1018, 11225, 513, 25850, 543, 2982, 606, 4505, 942, 1448, 540, 5920, 538, 15455, 982, 5892, 1634, 2223, 3081, 631, 30377, 631, 1229, 603, 8055, 267, 689, 3751, 779, 5441, 563, 300, 2459, 776, 15374, 267, 799, 3132, 5144, 543, 3049, 1762, 11864, 2221, 267, 723, 711, 1044, 12873, 538, 1022, 15455, 1336, 547, 4266, 269, 12207, 723, 4061, 1185, 547, 7048, 593, 968, 14551, 8031, 5608, 7777, 1242, 7633, 543, 8093, 1944, 4522, 585, 4244, 10881, 267, 11339, 4284, 3820, 563, 1692, 616, 25850, 4522, 1114, 888, 2750, 600, 1456, 7202, 819, 1336, 538, 5696, 553, 559, 31788, 9076, 9771, 529, 15455, 689, 7013, 8478, 543, 18584, 547, 827, 476, 18597, 2929, 1296, 3516, 630, 299, 622, 10222, 26226, 21610, 20187, 1070, 519, 1382, 2319, 1336, 2963, 540, 513, 2582, 1305, 540, 8628, 4522, 563, 1607, 568, 513, 1883, 8984, 540, 11864, 267, 1634, 607, 16702, 1506, 31788, 1399, 269, 17926, 4522, 2253, 547, 1020, 1282, 519, 25782, 3942, 267, 543, 513, 2034, 1305, 630, 6518, 568, 849, 519, 2063, 264, 10953, 2899, 519, 3662, 568, 4535, 563, 3528, 4334, 267, 16277, 27482, 7202, 1431, 616, 1114, 267, 1945, 1572, 4874, 19148, 31788, 1399, 267, 1141, 1142, 5694, 786, 16956, 4733, 1896, 2053, 2429, 513, 16277, 850, 779, 1272, 547, 5372, 8697, 3283, 563, 300, 20488, 543, 5144, 4522, 454, 291, 760, 1506, 16599, 807, 568, 513, 1950, 543, 2189, 7613, 602, 267, 2059, 609, 519, 10682, 540, 4522, 267, 849, 3322, 7096, 267, 942, 22306, 2242, 538, 519, 14169, 540, 519, 15693, 267, 585, 1383, 267, 519, 19479, 540, 519, 6281, 31370, 630, 549, 1993, 540, 519, 5023, 1070, 799, 2636, 519, 7105, 547, 29186, 543, 13236, 693, 519, 1482, 942, 4586, 22154, 1382, 568, 513, 5698, 1063, 19384, 543, 3703, 3744, 945, 723, 4547, 1927, 741, 6791, 538, 22623, 658, 1646, 267, 5959, 14169, 267, 17550, 543, 1277, 1108, 547, 4612, 519, 11174, 543, 2937, 15455, 540, 519, 17255, 2249, 5696, 553, 559, 31788, 22712, 4048, 983, 529, 2223, 3081, 3220, 26795, 6762, 614, 267, 689, 519, 7467, 540, 7849, 3778, 543, 1292, 2278, 540, 519, 1957, 563, 289, 6652, 559, 31788, 11478, 693, 519, 1482, 942, 607, 519, 9998, 1634, 17878, 543, 4440, 5030, 538, 3276, 4900, 267, 899, 2361, 8983, 2221, 563, 763, 1007, 1382, 3217, 519, 5169, 540, 16702, 1506, 617, 20184, 538, 5696, 553, 559, 31788, 267, 543, 4061, 11864, 267, 1394, 476, 736, 2929, 1296, 543, 6770, 1007, 1344, 547, 519, 7521, 827, 950, 11864, 1101, 7902, 269, 0, 763, 3601, 540, 519, 5122, 25317, 540, 5160, 616, 606, 4277, 1353, 267, 1317, 2242, 540, 519, 5122, 25317, 540, 8219, 616, 1644, 547, 12214, 543, 27690, 269, 5637, 12214, 543, 27690, 3601, 616, 9244, 2404, 609, 2068, 1344, 269, 11153, 6901, 3254, 602, 519, 6089, 2860, 814, 513, 2539, 25317, 982, 519, 3339, 6089, 5160, 269, 4935, 267, 519, 9196, 1759, 593, 25317, 666, 581, 1031, 607, 606, 4244, 3937, 547, 3713, 519, 6089, 2860, 269, 901, 1382, 11438, 856, 676, 20592, 540, 15379, 1955, 6244, 766, 8751, 2762, 547, 3713, 519, 6089, 2860, 676, 13113, 4320, 2409, 269, 634, 1382, 2882, 1646, 540, 513, 6310, 2203, 540, 519, 3167, 1761, 2361, 676, 476, 273, 291, 5685, 924, 11730, 6396, 267, 6061, 519, 4464, 1966, 543, 11201, 1966, 676, 5276, 16646, 1505, 269, 634, 17655, 568, 2944, 676, 476, 1626, 8756, 19650, 609, 12543, 1505, 547, 2445, 1239, 269, 634, 17655, 568, 5340, 693, 513, 4908, 540, 476, 1015, 737, 13703, 543, 476, 1911, 737, 13703, 609, 1614, 3615, 25948, 2882, 606, 31096, 693, 519, 2627, 267, 606, 31096, 693, 519, 3178, 543, 606, 31096, 693, 519, 2627, 543, 693, 3178, 269, 634, 11191, 814, 1044, 6707, 547, 18949, 3239, 540, 6198, 22114, 540, 519, 6089, 2860, 693, 519, 2627, 2990, 267, 519, 3178, 2990, 610, 513, 4999, 540, 2627, 543, 519, 3178, 563, 347, 22711, 1475, 22711, 540, 8212, 281, 10985, 10022, 2008, 347, 26397, 4567, 1475, 13775, 910, 476, 278, 9947, 476, 1001, 278, 2008, 347, 30631, 1475, 17220, 10985, 593, 8447, 19639, 7695, 543, 11628, 10049, 267, 594, 9573, 296, 4456, 476, 1001, 277, 910, 2672, 4599, 11535, 267, 12868, 2008, 291, 4851, 281, 476, 2767, 4239, 476, 1001, 277, 9890, 2560, 0, 12831, 1833, 568, 519, 3056, 3815, 540, 9659, 543, 519, 2949, 2518, 11411, 540, 3676, 269, 634, 1480, 3854, 2203, 2488, 606, 3617, 12497, 2203, 585, 5883, 1480, 1072, 269, 901, 1353, 6322, 547, 3313, 519, 7681, 1063, 1480, 3854, 630, 10175, 1514, 267, 3929, 267, 2168, 267, 2883, 267, 543, 7214, 3854, 264, 543, 19591, 2589, 1851, 11327, 2085, 2516, 538, 12868, 269, 589, 3444, 22891, 1353, 729, 5342, 676, 7421, 1239, 540, 476, 280, 267, 5952, 279, 17013, 9907, 476, 1428, 268, 6795, 1296, 602, 941, 5833, 689, 519, 12868, 7731, 5020, 11752, 476, 276, 630, 9281, 11862, 476, 276, 1040, 5564, 21725, 26848, 9695, 729, 1031, 547, 2708, 519, 7681, 1063, 1480, 3854, 3334, 543, 19591, 2589, 269, 7324, 17013, 267, 476, 2537, 269, 4792, 260, 1185, 2362, 19591, 2589, 269, 4317, 3972, 543, 1514, 5121, 630, 4820, 540, 1514, 3854, 264, 941, 3648, 1644, 547, 19591, 2589, 269, 8682, 3146, 19959, 9547, 630, 4820, 540, 3929, 3854, 264, 941, 849, 1644, 547, 19591, 2589, 267, 607, 1134, 607, 1582, 268, 3603, 1072, 267, 3207, 2298, 267, 513, 1297, 540, 5312, 2068, 267, 1560, 2527, 4994, 630, 289, 11085, 1070, 543, 2168, 8647, 630, 4820, 540, 2168, 3854, 1040, 8298, 4747, 630, 4820, 540, 2883, 3854, 264, 543, 2069, 1377, 630, 4820, 540, 7214, 3854, 264, 941, 1644, 547, 19591, 2589, 1310, 9013, 585, 824, 4632, 269, 2986, 782, 519, 3334, 540, 1480, 3854, 267, 2168, 3854, 814, 519, 1034, 10305, 2404, 609, 519, 1981, 540, 19591, 2589, 269, 4475, 267, 4965, 6604, 3292, 666, 581, 3922, 1242, 593, 10305, 1644, 547, 2168, 3854, 563, 31871, 540, 3817, 1475, 1321, 2008, 347, 22711, 1475, 312, 1446, 4750, 540, 10334, 543, 6925, 2008, 347, 26397, 4567, 1475, 13775, 910, 20029, 476, 1708, 272, 2008, 268, 3493, 4809, 2589, 454, 268, 5274, 3854, 454, 268, 10076, 1072, 454, 268, 8605, 633, 2085, 1895, 0, 1103, 713, 2022, 649, 786, 581, 2870, 513, 5124, 7097, 547, 2721, 513, 2295, 1210, 519, 14854, 5399, 269, 634, 14854, 5399, 6087, 721, 547, 513, 5691, 17198, 1141, 835, 666, 2721, 606, 11995, 1297, 540, 5546, 543, 5961, 269, 898, 568, 2523, 3730, 585, 14987, 267, 1453, 543, 23501, 16462, 547, 723, 930, 1187, 1107, 634, 5399, 568, 3908, 1152, 676, 9345, 563, 8450, 519, 6256, 540, 5124, 3009, 2630, 1141, 649, 946, 519, 14854, 5399, 547, 2721, 513, 2295, 269, 1403, 596, 1265, 713, 3730, 581, 2386, 547, 2638, 856, 930, 540, 938, 824, 25725, 1806, 1934, 563, 5814, 14854, 1948, 1305, 519, 14854, 781, 3432, 14854, 4732, 32497, 263, 1015, 264, 1948, 1847, 519, 14854, 547, 519, 4358, 2990, 14854, 4877, 523, 1575, 3890, 14854, 3052, 9369, 263, 271, 267, 910, 1220, 264, 14854, 4877, 754, 1144, 3890, 1948, 2721, 519, 1101, 3368, 540, 519, 2295, 14854, 269, 8218, 6958, 650, 3890, 14854, 269, 10233, 2891, 1042, 2580, 834, 335, 1074, 8442, 14854, 16000, 263, 9610, 264, 14854, 269, 3453, 263, 23470, 264, 1948, 2721, 519, 2034, 3368, 540, 519, 2295, 14854, 6983, 22511, 8987, 12208, 267, 476, 1220, 264, 1948, 6445, 538, 519, 2295, 14854, 15630, 3650, 532, 263, 2568, 264, 14854, 6983, 22511, 8987, 12208, 267, 476, 1220, 264, 14854, 269, 3453, 263, 23470, 264, 14854, 269, 754, 6958, 650, 3890, 1948, 12404, 519, 14854, 14854, 19544, 573, 564, 31103, 3890, 1948, 1832, 519, 6885, 1930, 14854, 6155, 821, 4590, 763, 1657, 1131, 3977, 519, 1739, 547, 513, 17198, 543, 4734, 621, 1930, 563, 2252, 596, 798, 1711, 707, 1378, 267, 5225, 798, 2671, 609, 721, 607, 649, 1131, 2648, 547, 1294, 256, 4746, 581, 2386, 547, 2638, 856, 930, 540, 938, 824, 25725, 1806, 1934, 563, 12648, 513, 1413, 693, 930, 540, 938, 824, 1543, 1472, 519, 5124, 5752, 1893, 676, 14467, 1934, 269, 0, 25444, 6487, 602, 11922, 616, 513, 8949, 1840, 547, 938, 6980, 267, 4657, 610, 20993, 519, 7657, 2293, 540, 519, 3536, 789, 616, 19610, 609, 267, 855, 972, 779, 4440, 513, 1906, 1271, 1919, 602, 596, 1810, 1406, 917, 827, 873, 269, 3367, 713, 5363, 3391, 547, 1451, 827, 3395, 11922, 267, 1018, 547, 4444, 267, 543, 875, 547, 5965, 707, 11922, 585, 5986, 256, 6258, 519, 30304, 547, 2327, 707, 11922, 8853, 563, 1692, 547, 22320, 4173, 2125, 454, 6624, 3494, 602, 3395, 11922, 568, 513, 4305, 11603, 585, 2030, 4966, 267, 855, 4250, 711, 256, 2659, 11922, 5968, 741, 2115, 282, 782, 596, 991, 568, 547, 1174, 741, 1893, 269, 3371, 267, 649, 2697, 9963, 4191, 540, 606, 513, 4979, 2030, 543, 1683, 5583, 593, 4509, 922, 1072, 563, 2252, 707, 11922, 2490, 5835, 267, 596, 1522, 581, 936, 22476, 269, 6744, 519, 3037, 781, 7509, 282, 952, 621, 781, 15459, 267, 8963, 621, 607, 15695, 538, 938, 3105, 10786, 1416, 4388, 269, 17797, 707, 14450, 6296, 9935, 563, 11947, 5210, 666, 1291, 547, 27315, 1154, 269, 4855, 513, 5544, 609, 9940, 7943, 543, 9793, 3002, 269, 3680, 27290, 2242, 547, 2061, 2566, 269, 4793, 1466, 568, 1883, 1765, 10849, 2925, 2242, 835, 693, 513, 942, 563, 290, 2130, 585, 4173, 2125, 281, 3245, 7233, 547, 17934, 454, 2791, 4312, 10114, 3293, 707, 11922, 267, 543, 1631, 621, 781, 942, 547, 5260, 712, 741, 7657, 2293, 269, 3371, 616, 930, 4388, 593, 8600, 543, 6220, 873, 883, 707, 6980, 563, 306, 12522, 569, 7556, 519, 2694, 596, 1616, 547, 3548, 1510, 31362, 519, 2030, 676, 8930, 4221, 519, 25568, 1141, 519, 6565, 543, 6978, 2743, 269, 10312, 593, 519, 4587, 3762, 267, 607, 789, 3565, 811, 547, 519, 2030, 781, 21755, 563, 29002, 4173, 2125, 547, 2725, 1023, 454, 292, 4582, 622, 707, 8286, 676, 1210, 28448, 13603, 11922, 607, 513, 21959, 880, 269, 15439, 12235, 873, 593, 1283, 585, 606, 4674, 1652, 2943, 17175, 11477, 1995, 563, 24375, 1676, 6363, 7037, 4173, 2125, 585, 5272, 8493, 10273, 454, 30342, 7334, 286, 4173, 321, 1416, 3884, 1405, 3025, 781, 585, 974, 267, 855, 18094, 17188, 1055, 269, 3399, 609, 19444, 7888, 11922, 899, 590, 720, 267, 774, 344, 1889, 267, 29807, 2917, 267, 543, 932, 1161, 269, 1452, 11922, 2154, 1447, 3007, 267, 3850, 596, 547, 1628, 6015, 269, 5213, 1405, 581, 27209, 676, 22303, 282, 3079, 267, 946, 873, 607, 19480, 10007, 4724, 4742, 513, 3039, 6253, 3518, 605, 563, 30265, 539, 609, 519, 1702, 540, 8939, 267, 3395, 543, 8600, 11922, 267, 596, 2811, 1631, 4712, 547, 1102, 2224, 707, 6980, 609, 4195, 1145, 543, 30993, 269, 22737, 519, 1158, 540, 11922, 267, 543, 1577, 707, 11477, 9035, 21707, 2336, 6701, 596, 3168, 547, 561, 1508, 909, 707, 1753, 5986, 609, 4195, 267, 23599, 11922, 782, 1032, 5180, 286, 589, 1883, 547, 8236, 713, 568, 6616, 707, 21064, 11922, 267, 519, 6801, 540, 519, 2483, 2252, 596, 2811, 13110, 540, 6093, 4558, 1532, 4454, 3276, 3455, 1273, 2906, 267, 596, 2811, 538, 585, 513, 1521, 609, 713, 3276, 3455, 4005, 532, 11600, 256, 13067, 17360, 3276, 7970, 616 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1826, 602, 1655, 4564, 707, 1239, 543, 7028, 707, 5048, 269, 4446, 12125, 267, 1899, 11708, 267, 543, 2650, 12125, 616, 4122, 1031, 585, 1114, 2010, 540, 1239, 563, 268, 2422, 2681, 3927, 281, 2422, 2681, 547, 5031, 1271, 1344, 543, 1711, 3308, 4334, 269, 1717, 267, 581, 13533, 540, 2681, 21901, 543, 2327, 602, 707, 32331, 616, 3015, 547, 782, 3755, 563, 268, 3629, 2796, 281, 5410, 10297, 267, 10643, 267, 543, 3061, 687, 547, 1683, 2796, 543, 948, 3755, 1174, 519, 2495, 3297, 519, 1239, 563, 3528, 1739, 891, 1655, 2853, 543, 9001, 519, 1318, 2645, 267, 596, 666, 1711, 26374, 543, 6209, 1239, 32331, 602, 3927, 5968, 707, 5048, 543, 4030, 563, 2690, 811, 1344, 593, 1239, 14839, 1655, 2853, 267, 596, 666, 3643, 519, 3896, 540, 519, 4139, 4659, 585, 6176, 5071, 693, 8940, 269, 4512, 573, 14492, 563, 16631, 5675, 543, 4750, 1143, 454, 16631, 1603, 543, 19761, 568, 513, 4241, 2361, 602, 10905, 519, 10600, 540, 1148, 543, 2257, 269, 898, 3322, 14379, 1950, 3621, 2035, 538, 513, 1259, 602, 568, 24669, 543, 2502, 547, 519, 2489, 1857, 563, 16631, 5830, 543, 20859, 1404, 513, 2629, 1909, 538, 28043, 519, 7934, 1063, 3744, 543, 2486, 267, 1818, 3621, 1344, 3015, 547, 513, 9962, 5304, 563, 763, 10020, 540, 3163, 19536, 543, 4750, 1235, 454, 16631, 5830, 543, 20859, 616, 3743, 585, 24758, 3621, 3822, 883, 1893, 602, 519, 2489, 1857, 666, 10146, 269, 1358, 946, 741, 1603, 1983, 547, 6655, 1950, 3621, 2035, 538, 513, 1259, 602, 568, 4977, 267, 13181, 267, 543, 2502, 563, 4322, 4648, 1419, 960, 585, 14786, 267, 17476, 267, 2228, 12326, 267, 610, 1256, 538, 31076, 267, 1141, 789, 1867, 593, 3621, 8906, 267, 23484, 267, 543, 7760, 563, 3528, 1603, 827, 3621, 3584, 267, 2257, 5830, 543, 20859, 1404, 513, 4105, 1909, 538, 18997, 519, 1857, 543, 5009, 3621, 7924, 269, 1358, 948, 547, 1629, 22438, 1518, 1950, 5396, 267, 1818, 2257, 811, 3015, 543, 11541, 547, 4948, 1272, 563, 1103, 1840, 267, 789, 849, 4196, 607, 4585, 323, 9233, 267, 8066, 3744, 543, 1382, 5238, 18177, 585, 519, 6111, 543, 8699, 540, 741, 960, 563, 20597, 1571, 22490, 585, 3163, 5675, 543, 4750, 1143, 454, 16631, 1603, 543, 19761, 2154, 513, 2189, 4999, 540, 3621, 1702, 543, 1603, 15334, 269, 589, 2257, 5856, 1058, 723, 513, 4396, 1620, 540, 519, 3621, 1505, 267, 1382, 2553, 267, 543, 519, 2702, 547, 9691, 5659, 3621, 2090, 563, 5445, 1590, 849, 4865, 5140, 2792, 1983, 547, 3927, 6655, 1950, 1344, 547, 513, 3309, 5304, 563, 13010, 267, 2257, 5830, 543, 20859, 1590, 723, 513, 5679, 871, 585, 9423, 269, 1358, 1590, 581, 2111, 547, 4739, 8903, 6386, 602, 7001, 519, 5467, 779, 3007, 543, 1118, 3621, 3584, 4277, 543, 2502, 563, 3528, 1210, 9423, 2553, 267, 2257, 5830, 666, 1118, 3621, 1344, 811, 11541, 543, 12300, 547, 519, 5304, 563, 4910, 1545, 585, 3163, 5675, 543, 4750, 1143, 454, 2467, 616, 1896, 2200, 2139, 585, 1346, 5461, 538, 13197, 513, 4876, 538, 2257, 1603, 543, 19761, 269, 6732, 5867, 899, 11660, 1977, 543, 7186, 5240, 1683, 513, 5763, 540, 3621, 4930, 543, 3377, 2984, 602, 666, 4196, 607, 5140, 8100, 585, 14971, 2257, 5830, 563, 12234, 267, 3906, 899, 519, 2817, 5948, 540, 3163, 19536, 630, 2793, 14684, 264, 2709, 2200, 267, 11925, 267, 543, 13033, 3255, 585, 1346, 3168, 547, 4283, 519, 2361, 563, 30267, 11970, 1023, 945, 723, 1312, 2178, 7499, 5759, 543, 4396, 3621, 1702, 666, 11654, 16180, 11678, 602, 2721, 593, 741, 3309, 15421, 269, 1306, 2029, 22264, 267, 3747, 585, 3444, 16162, 9918, 1983, 786, 2693, 3136, 3395, 563, 4415, 5876, 543, 10763, 3206, 267, 972, 616, 1082, 7399, 547, 1265, 513, 6209, 4876, 26399, 6575, 543, 9443, 269, 0, 24127, 476, 274, 910, 17136, 476, 1321, 454, 7804, 269, 918, 269, 1488, 643, 31730, 534, 20330, 294, 770, 549, 10938, 6048, 267, 918, 879, 854, 11233, 267, 2558, 747, 344, 267, 3127, 454, 28536, 2670, 281, 12877, 25866, 320, 14228, 1066, 657, 636, 454, 263, 272, 264, 12877, 25866, 320, 14228, 1066, 657, 636, 2356, 6238, 609, 513, 1507, 267, 2699, 29424, 593, 707, 2960, 267, 799, 949, 18613, 513, 17178, 11116, 269, 10738, 2395, 267, 713, 29424, 666, 1020, 883, 513, 1804, 267, 11213, 1930, 15319, 563, 263, 273, 264, 634, 22377, 2356, 5526, 593, 707, 7953, 267, 855, 949, 1020, 9170, 593, 707, 1560, 269, 6884, 621, 5526, 1472, 10551, 4609, 269, 1403, 596, 723, 1896, 21385, 267, 789, 949, 1332, 543, 19467, 883, 835, 3677, 22377, 563, 263, 274, 264, 634, 3169, 2014, 540, 7510, 25866, 320, 14228, 1066, 657, 636, 568, 7164, 269, 634, 2783, 568, 711, 11763, 610, 21380, 269, 898, 781, 1419, 2404, 609, 16991, 3676, 971, 607, 22377, 894, 897, 4345, 267, 15867, 18255, 781, 2068, 543, 12263, 269, 1656, 621, 949, 723, 513, 4719, 5057, 563, 263, 275, 264, 1403, 596, 723, 7510, 25866, 320, 14228, 1066, 657, 636, 267, 1007, 2960, 8194, 267, 971, 607, 513, 2759, 610, 14047, 675, 10138, 267, 949, 9594, 1007, 21385, 269, 0, 14294, 881, 656, 13724, 906, 9866, 5703, 593, 519, 24544, 540, 5274, 5288, 269, 10724, 3690, 3836, 31157, 454, 763, 2160, 540, 717, 1258, 532, 523, 538, 519, 13814, 1107, 609, 1353, 5012, 5689, 2088, 932, 747, 4275, 340, 267, 681, 1731, 8709, 3143, 867, 267, 543, 21293, 570, 7394, 1107, 5063, 3370, 513, 1353, 602, 2982, 513, 1713, 6454, 593, 1362, 13294, 1167, 518, 940, 1063, 1480, 8957, 3684, 8144, 269, 634, 2319, 1031, 5386, 2389, 25293, 1395, 565, 532, 783, 265, 543, 1617, 13308, 1262, 1893, 3631, 585, 741, 1362, 13294, 1107, 4152, 1142, 2203, 779, 2773, 1759, 593, 519, 2298, 540, 2866, 1239, 3177, 269, 5637, 2010, 540, 3631, 4597, 539, 950, 3177, 609, 2866, 1239, 689, 2789, 2707, 4654, 563, 1765, 734, 2608, 7116, 1564, 602, 616, 1152, 5827, 540, 4393, 835, 1893, 3248, 1262, 3631, 602, 616, 5827, 540, 4393, 1079, 610, 811, 4654, 454, 18814, 547, 7760, 538, 3642, 267, 3684, 1565, 267, 543, 8849, 5121, 267, 519, 1893, 2872, 814, 13175, 547, 15849, 30968, 3684, 8144, 883, 741, 3232, 4238, 269, 1306, 971, 3684, 8144, 1382, 568, 2629, 267, 811, 865, 519, 1620, 540, 519, 4632, 602, 616, 693, 519, 4099, 540, 891, 2090, 269, 769, 713, 2376, 649, 786, 26819, 891, 4632, 630, 328, 4318, 1421, 1362, 13294, 543, 2866, 1239, 264, 547, 2744, 7071, 585, 543, 723, 513, 1732, 1620, 540, 2090, 585, 3684, 8144, 270, 14048, 563, 2414, 946, 606, 21658, 267, 1362, 13294, 616, 899, 16488, 693, 606, 2912, 819, 269, 1452, 16488, 723, 3710, 909, 1995, 936, 519, 1296, 602, 4018, 5809, 873, 547, 2708, 2912, 819, 12644, 1759, 593, 1978, 7355, 269, 1452, 16488, 616, 1287, 2016, 519, 15698, 547, 6430, 945, 10742, 519, 7355, 547, 1205, 998, 547, 519, 1985, 5180, 269, 6684, 267, 1362, 13294, 1451, 689, 2866, 1239, 538, 1931, 547, 2708, 1239, 2798, 1759, 593, 1808, 2934, 269, 769, 519, 2013, 540, 1362, 13294, 267, 789, 3313, 2436, 513, 1257, 811, 5702, 10742, 519, 7355, 585, 513, 1480, 8144, 610, 513, 3684, 8144, 563, 1103, 741, 1353, 267, 4201, 11703, 26521, 540, 5274, 543, 22532, 10724, 22564, 538, 5564, 13308, 31950, 926, 657, 32586, 2160, 540, 717, 1258, 532, 523, 779, 1382, 2319, 12290, 519, 2773, 540, 1362, 13294, 8036, 593, 1395, 565, 532, 783, 1893, 3631, 543, 1346, 8036, 593, 1617, 13308, 3631, 630, 6748, 2296, 267, 4436, 267, 6739, 267, 543, 4457, 9817, 1040, 1809, 1018, 2010, 540, 1362, 13294, 1705, 789, 946, 888, 9616, 602, 513, 3684, 1565, 2203, 666, 581, 8036, 547, 1685, 1114, 2010, 540, 8760, 4247, 269, 898, 568, 1271, 547, 1174, 602, 519, 2010, 3177, 1657, 1152, 829, 1555, 547, 513, 1978, 5690, 23995, 4450, 1373, 8246, 676, 513, 1893, 2203, 693, 1022, 2016, 942, 563, 23763, 547, 1451, 811, 827, 3631, 286, 3367, 827, 1546, 289, 12224, 320, 1107, 519, 1893, 2203, 1031, 676, 519, 3173, 689, 2160, 540, 717, 1258, 532, 523, 563, 32086, 4578, 4112, 7134, 454, 32086, 1239, 568, 519, 3355, 1239, 593, 799, 3684, 1565, 6620, 616, 2919, 269, 29968, 628, 543, 2298, 540, 1239, 2047, 5222, 519, 2773, 2298, 540, 1022, 3684, 1565, 2203, 269, 10724, 1565, 3631, 1711, 543, 13217, 3652, 1472, 519, 2866, 1239, 789, 723, 1031, 269, 1703, 616, 1614, 4485, 547, 1210, 2866, 1239, 538, 3684, 1565, 912, 21841, 14876, 1565, 1107, 3425, 3442, 519, 1239, 2934, 543, 10802, 610, 14391, 622, 519, 1239, 547, 948, 519, 3684, 5431, 4093, 454, 308, 985, 10967, 14876, 1565, 1107, 519, 1239, 568, 796, 16932, 539, 267, 609, 519, 3684, 7114, 3270, 538, 621, 454, 20812, 8455, 1565, 1107, 519, 3684, 16137, 689, 1312, 13042, 543, 796, 16932, 539, 1239, 454, 1432, 5540, 519, 2298, 540, 2866, 1239, 888, 32086, 513, 3684, 1565, 2203, 609, 2866, 1239, 568, 2147, 547, 3450, 513, 2875, 609, 9499, 269, 634, 9499, 630, 10177, 1456, 1239, 264, 616, 4904, 609, 1702, 630, 335, 16993, 543, 3347, 264, 602, 519, 2875, 630, 332, 22389, 1565, 2203, 264, 2115, 547, 4835, 1125, 269, 1403, 519, 9499, 1031, 616, 4977, 267, 3102, 267, 543, 3309, 267, 513, 2875, 786, 581, 1732, 5423, 547, 2626, 2055, 593, 513, 1449, 269, 6684, 267, 952, 519, 2866, 1239, 568, 1164, 2298, 543, 7347, 267, 519, 3684, 1565, 2203, 786, 581, 1732, 693, 1818, 4977, 11236, 563, 10932, 532, 519, 16790, 5937, 564, 1254, 540, 10724, 22564, 454, 763, 2160, 540, 717, 1258, 532, 523, 2319, 779, 3804, 729, 547, 968, 339, 871, 548, 519, 4305, 540, 8850, 5806, 3215, 1063, 1480, 543, 3684, 16627, 1848, 3371, 741, 476, 273, 1883, 4681, 912, 634, 1655, 2164, 3357, 689, 9256, 1114, 2707, 4654, 269, 4634, 1507, 5666, 540, 3606, 2866, 1239, 538, 1776, 1893, 4847, 585, 513, 3648, 1732, 7900, 2203, 269, 5637, 1395, 565, 532, 783, 543, 1617, 13308, 1362, 13294, 28322, 689, 2866, 1239, 3144, 689, 2789, 2707, 4654, 563, 634, 2319, 849, 1336, 602, 5386, 2389, 12941, 513, 4845, 7400, 2203, 593, 3561, 27480, 1257, 729, 26374, 269, 901, 729, 30074, 547, 3274, 2866, 3631, 593, 6054, 269, 20963, 2389, 12941, 538, 713, 1259, 3366, 547, 519, 5207, 2157, 540, 6111, 543, 519, 9803, 3044, 24017, 267, 10834, 811, 7123, 1362, 13294, 563, 1607, 1382, 1281, 711, 1152, 1459, 721, 609, 7835, 267, 855, 849, 12651, 4656, 593, 519, 1699, 1928, 2798, 1369, 519, 1893, 2872, 269, 634, 1382, 17019, 602, 621, 814, 1831, 5051, 2352, 547, 10646, 3312, 5931, 689, 6383, 5931, 1107, 799, 568, 513, 1360, 1271, 7156, 950, 3384, 2866, 1239, 585, 1893, 3631, 269, 1306, 971, 267, 519, 1985, 9266, 1900, 1107, 2687, 547, 519, 3173, 1107, 786, 581, 547, 2232, 1362, 13294, 602, 666, 20559, 1063, 3312, 5931, 267, 1480, 16627, 267, 610, 3684, 16627, 269, 0, 295, 17162, 6481, 2806, 12934, 2747, 9502, 454, 8702, 20829, 267, 8284, 1702, 5498, 2131, 619, 256, 4653, 267, 649, 616, 890, 9934, 1394, 519, 6106, 540, 670, 17162, 267, 606, 27099, 602, 1166, 1080, 1063, 1585, 2564, 4610, 609, 32609, 614, 640, 269, 1924, 267, 1577, 779, 19586, 519, 1082, 1368, 2478, 540, 670, 17162, 1107, 689, 15214, 28309, 5866, 8598, 547, 4400, 30071, 767, 2598, 26529, 269, 2201, 1189, 267, 649, 979, 2336, 5978, 3460, 5956, 609, 15214, 28309, 5866, 8598, 267, 606, 936, 778, 773, 591, 950, 621, 2501, 547, 8501, 269, 6333, 621, 607, 513, 26307, 685, 5428, 602, 936, 560, 904, 922, 10950, 538, 707, 18072, 267, 32117, 519, 1981, 540, 2295, 2068, 563, 29730, 28309, 5866, 8598, 568, 14229, 21294, 282, 1419, 972, 616, 1100, 2589, 2394, 1945, 4422, 4636, 269, 898, 779, 899, 602, 6456, 15072, 593, 707, 1007, 1286, 1107, 596, 1810, 1406, 1294, 621, 2394, 621, 6238, 547, 15309, 2336, 1692, 798, 649, 856, 342, 527, 713, 2848, 953, 344, 10766, 322, 6652, 615, 286, 8617, 32182, 267, 7059, 11326, 267, 543, 3635, 269, 898, 779, 899, 8156, 707, 1560, 547, 513, 838, 320, 1554, 267, 5781, 267, 543, 5329, 1346, 26307, 538, 2638, 563, 8855, 267, 15214, 28309, 5866, 8598, 568, 19242, 269, 2060, 930, 6197, 17408, 6545, 267, 596, 666, 1629, 1774, 621, 689, 513, 1761, 1072, 9651, 547, 1175, 513, 2262, 602, 779, 2182, 547, 24969, 2336, 295, 788, 520, 565, 550, 7781, 26440, 523, 3130, 630, 295, 17162 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21342, 6959, 267, 543, 1256, 17096, 256, 2060, 11422, 24909, 899, 18049, 569, 267, 713, 5326, 3587, 513, 4641, 256, 589, 11422, 10137, 568, 513, 1507, 1982, 602, 8591, 3063, 2934, 547, 707, 1357, 11422, 630, 3697, 5616, 24904, 267, 32288, 2135, 267, 3092, 12175, 4653, 267, 649, 2811, 2469, 547, 2263, 18049, 569, 543, 1294, 875, 621, 666, 1831, 707, 1360, 1378, 1603, 13930, 2439, 4089, 476, 272, 281, 1548, 568, 18049, 569, 888, 294, 1090, 3405, 569, 568, 513, 2706, 3579, 2228, 1907, 602, 1281, 1082, 1919, 693, 2899, 256, 898, 11974, 707, 10259, 267, 9060, 21342, 9073, 267, 543, 2306, 2386, 602, 707, 5220, 616, 2312, 543, 2653, 547, 1174, 269, 3807, 1589, 540, 621, 607, 707, 3059, 2296, 4116, 945, 781, 2141, 4712, 547, 2285, 10372, 543, 5583, 780, 4089, 476, 273, 281, 1215, 6496, 18049, 569, 4518, 888, 2467, 616, 1896, 2081, 596, 666, 946, 18049, 569, 269, 1411, 666, 5299, 707, 1603, 5196, 741, 3896, 543, 7227, 585, 513, 4090, 1247, 789, 4012, 1227, 1265, 1022, 2152, 269, 2107, 267, 952, 596, 4782, 17511, 1318, 2476, 267, 3643, 741, 3896, 543, 1376, 17511, 2047, 972, 269, 1358, 849, 2709, 513, 18376, 813, 1141, 596, 666, 2328, 3476, 6054, 543, 4309, 8216, 5955, 269, 1656, 7058, 1018, 286, 1703, 781, 811, 256, 1403, 596, 2648, 1210, 2262, 21932, 899, 9786, 6478, 610, 5616, 9022, 338, 267, 1810, 1405, 5855, 282, 18049, 569, 1568, 609, 1346, 1932, 2439, 4089, 476, 274, 281, 12305, 532, 18049, 569, 22362, 454, 3086, 602, 596, 917, 1018, 18049, 569, 568, 267, 9327, 1405, 621, 581, 15813, 547, 2119, 621, 3054, 286, 1677, 798, 865, 267, 1246, 891, 2241, 3268, 1384, 272, 269, 16731, 519, 4013, 18049, 569, 3896, 630, 4178, 3052, 1090, 3405, 569, 2593, 1916, 273, 269, 6733, 585, 519, 7735, 6031, 834, 7476, 18049, 569, 1631, 257, 610, 1945, 2147, 563, 274, 269, 7994, 2436, 596, 1616, 547, 4647, 519, 10137, 585, 707, 9053, 11422, 630, 2419, 4435, 267, 32288, 2135, 267, 6380, 926, 267, 22750, 264, 610, 4647, 519, 18376, 813, 269, 1280, 938, 1383, 267, 1577, 781, 3442, 519, 24904, 10137, 563, 275, 269, 8437, 834, 11754, 547, 24904, 2437, 1287, 6166, 4946, 519, 10137, 950, 19430, 563, 276, 269, 4495, 8704, 267, 596, 949, 991, 547, 1129, 909, 585, 513, 1863, 2272, 269, 7427, 519, 5528, 3177, 563, 277, 269, 3767, 1413, 585, 519, 2370, 3039, 12835, 2282, 707, 2232, 3046, 1107, 7249, 337, 1846, 267, 596, 1175, 8704, 18049, 569, 2439, 4089, 476, 275, 281, 4635, 18049, 569, 5272, 4303, 454, 8794, 18049, 569, 1169, 1554, 568, 3833, 2241, 256, 24269, 596, 2328, 4376, 2228, 267, 971, 607, 15737, 267, 3594, 267, 1514, 2923, 9708, 267, 18049, 569, 786, 8850, 2303, 9283, 543, 28303, 269, 5901, 606, 3750, 593, 519, 3039, 5858, 267, 799, 2982, 875, 1134, 707, 1603, 568, 3257, 269, 5682, 1797, 1434, 267, 5835, 6920, 930, 5634, 6959, 267, 543, 2699, 25887, 596, 547, 1713, 2042, 269, 1635, 14467, 593, 519, 896, 20040, 1913, 267, 596, 666, 2070, 18049, 569, 781, 6700, 4368, 525, 780, 6962, 912, 28885, 18049, 569, 610, 824, 2147, 11422, 24909, 883, 707, 3232, 1272, 666, 3648, 1764, 707, 1603, 1983, 269, 1452, 2645, 4196, 607, 3407, 2200, 602, 3391, 596, 2509, 4742, 513, 1732, 5856, 269, 1924, 1946, 711, 1491, 5413, 540, 2029, 543, 2972, 13167, 9735, 2984, 543, 16367, 3594, 2059, 519, 1259, 286, 8414, 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 666, 3986, 707, 1603, 676, 3384, 5363, 2093, 543, 5955, 547, 1205, 596, 1394, 593, 3950, 2507, 308, 330, 19405, 2986, 18049, 569, 2507, 933, 3580, 3717, 827, 1018, 18049, 569, 568, 649, 3580, 3382, 922, 2934, 875, 621, 19776, 547, 824, 21882, 2645, 543, 952, 621, 779, 2731, 4502, 707, 2724, 1577, 779, 1205, 883, 621, 568, 513, 8239, 10992, 10992, 11963, 10992, 543, 17096, 10992, 1907, 782, 18202, 883, 835, 519, 5354, 540, 1004, 946, 621, 607, 513, 8239, 2638, 518, 454, 290, 4878, 707, 1603, 883, 519, 2985, 543, 1683, 519, 3896, 513, 7008, 540, 7643, 547, 960, 922, 9059, 269, 769, 3274, 513, 1906, 8090, 267, 519, 3301, 3498, 11974, 856, 267, 23607, 267, 543, 14319, 707, 1603, 563, 2252, 596, 723, 513, 2347, 543, 2347, 3561, 267, 596, 666, 3274, 14202, 621, 2786, 547, 519, 3896, 269, 631, 699, 569, 4945, 2048, 308, 22744, 685, 3079, 540, 2048, 6124, 8730, 4584, 513, 3561, 689, 707, 2780, 1062, 267, 543, 18049, 569, 786, 5659, 519, 1543, 538, 519, 1482, 1259, 563, 12234, 267, 596, 666, 1826, 2786, 883, 519, 18049, 569, 3135, 267, 543, 519, 1907, 786, 2638, 707, 1603, 607, 596, 979, 563, 273, 269, 30325, 9008, 813, 454, 1607, 568, 2009, 1700, 607, 1279, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 4900, 518, 6987, 5014, 257, 607, 851, 540, 834, 28035, 1315, 5769, 1315, 5680, 645, 4900, 619, 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, 6637, 476, 272, 281, 634, 18903, 540, 27884, 910, 1323, 4985, 547, 7395, 673, 30527, 692, 5970, 596, 2479, 1224, 513, 1433, 610, 14478, 513, 7260, 602, 1500, 596, 3494, 538, 1945, 7543, 286, 9320, 621, 729, 513, 6158, 3662, 267, 610, 6148, 621, 729, 513, 1268, 609, 2027, 7060, 269, 901, 1826, 540, 9423, 568, 1572, 834, 332, 698, 673, 17779, 2437, 543, 621, 781, 950, 9059, 610, 32601, 2609, 616, 3769, 538, 513, 1650, 602, 6382, 7959, 1360, 1483, 780, 300, 698, 673, 17779, 568, 513, 2442, 9135, 538, 3332, 1317, 621, 2636, 721, 547, 1294, 519, 1158, 538, 513, 1007, 1259, 269, 898, 2591, 938, 4978, 827, 1018, 568, 2009, 543, 2306, 721, 1589, 7184, 827, 1271, 3584, 899, 2648, 267, 2530, 267, 3961, 267, 543, 811, 269, 2368, 4583, 4589, 945, 2328, 9589, 17779, 1331, 28792, 25661, 807, 3057, 4302, 345, 267, 1772, 8475, 2353, 29868, 267, 543, 9995, 571, 595, 529, 1676, 657, 780, 3080, 2601, 1946, 9589, 17779, 666, 581, 865, 3532, 568, 1317, 621, 1419, 9356, 519, 2833, 540, 1004, 4171, 2984, 5749, 1405, 2141, 5143, 538, 13416, 2923, 269, 3509, 4589, 945, 2328, 9589, 17779, 2097, 689, 5824, 1977, 610, 5053, 18702, 10080, 267, 543, 741, 1603, 14405, 2390, 2686, 5389, 543, 18691, 602, 949, 581, 14542, 547, 930, 3988, 269, 1635, 16471, 891, 2609, 609, 4207, 2152, 543, 5468, 267, 9589, 1483, 626, 4589, 1711, 10600, 602, 1745, 1312, 5432, 543, 28531, 693, 519, 1482, 942, 780, 3719, 2870, 513, 1825, 15344, 9589, 1483, 626, 1650, 3884, 1405, 2653, 256, 19536, 1590, 3666, 519, 9735, 543, 519, 27217, 267, 22805, 1927, 2609, 540, 4641, 543, 14810, 538, 513, 1259, 602, 7959, 15774, 543, 2067, 269, 769, 713, 3184, 267, 649, 3513, 2263, 930, 1883, 2553, 1031, 676, 9589, 1483, 626, 4589, 267, 607, 1134, 607, 4983, 930, 1806, 689, 5929, 1568, 540, 9589, 17779, 780, 20007, 1664, 1948, 272, 281, 12861, 5617, 773, 15344, 16992, 692, 12024, 1022, 1434, 1650, 267, 513, 3811, 960, 540, 9589, 17779, 2115, 8903, 3197, 602, 3988, 1416, 827, 269, 1809, 538, 513, 9589, 1483, 626, 1650, 267, 1346, 3197, 1522, 849, 4865, 8966, 5759, 610, 7237, 16750, 2621, 269, 1879, 10962, 891, 9058, 2609, 267, 621, 781, 1898, 547, 2666, 873, 538, 11541, 4664, 543, 18144, 780, 2690, 1383, 267, 2015, 519, 1915, 10507, 704, 24521, 689, 9995, 571, 595, 529, 1676, 657, 262, 3209, 834, 763, 5600, 593, 631, 24546, 9335, 1701, 2311, 1101, 16145, 267, 1352, 4667, 899, 606, 8723, 8004, 3395, 909, 538, 513, 2324, 11665, 8378, 269, 1717, 267, 607, 519, 1650, 22264, 267, 649, 1451, 602, 10507, 704, 24521, 814, 513, 2189, 10516, 1107, 1352, 666, 8038, 269, 901, 2702, 3085, 1405, 8915, 3294, 998, 1166, 553, 1506, 2027, 2360, 855, 2864, 998, 1200, 2620, 1279, 532, 585, 5191, 543, 9101, 689, 1200, 6381, 269, 5221, 649, 1174, 10507, 704, 24521, 781, 13821, 543, 9620, 267, 1200, 10760, 1379, 3587, 513, 3090, 540, 4126, 543, 7872, 267, 1818, 621, 782, 519, 811, 26374, 780, 12244, 281, 6056, 827, 707, 5172, 1433, 610, 7260, 1915, 269, 1548, 7907, 1118, 873, 4277, 543, 12300, 286, 1215, 1223, 596, 2285, 873, 513, 9589, 2702, 1247, 1869, 5329, 873, 16135, 538, 4641, 286, 3503, 513, 2110, 5037, 10503, 713, 1915, 543, 741, 16012, 13007, 780, 20007, 1664, 1948, 273, 281, 2349, 584, 2590, 519, 20514, 9737, 18712, 543, 26135, 692, 1103, 9589, 17779, 267, 519, 1899, 1063, 1018, 781, 1483, 543, 1018, 781, 16545, 568, 22393, 23324, 269, 1677, 3035, 713, 1198, 267, 4589, 1419, 6338, 9589, 2609, 7930, 267, 3850, 3988, 547, 7444, 3398, 519, 796, 29207, 15344, 607, 26363, 1369, 519, 2796, 540, 519, 1650, 780, 288, 1390, 1383, 540, 713, 4480, 2501, 689, 23718, 10507, 638, 633, 331, 781, 3209, 834, 12024, 4826, 585, 28688, 1701, 5590, 538, 6792, 1282, 519, 2038, 476, 736, 628, 2540, 267, 519, 1650, 5205, 570, 7534, 267, 513, 1762, 4807, 945, 25395, 1352, 666, 1102, 2224, 1200, 4664, 883, 519, 1426, 1352, 29397, 269, 1879, 570, 7534, 22316, 513, 8670, 1247, 4743, 7920, 18354, 267, 4896, 945, 22655, 621, 786, 1995, 2147, 28194, 269, 2755, 713, 1523, 1522, 3100, 2484, 1922, 564, 3481, 267, 10507, 638, 633, 331, 6799, 621, 865, 2339, 6361, 1922, 18075, 602, 3988, 3533, 3398, 621, 607, 851, 540, 519, 2239, 5958, 780, 12244, 281, 7994, 513, 1455, 1843, 610, 2534, 630, 324, 3052, 1421, 513, 15513, 267, 14964, 513, 11332, 1040, 3503, 513, 5618, 6429, 538, 799, 713, 6221, 610, 2962, 3217, 593, 9589, 3601, 269, 14674, 875, 519, 1689, 4386, 6923, 1369, 519, 2796, 540, 519, 1650, 780, 20007, 1664, 1948, 274, 281, 14301, 16270, 8836, 26492, 543, 23205, 16161, 692, 6624, 4589, 540, 9589, 17779, 2721, 6667, 689, 741, 2686, 6561, 267, 6220, 2757, 14868, 267, 17691, 267, 543, 6698, 883, 741, 6386, 269, 1452, 2609, 948, 1711, 3638, 569, 30305, 10600, 602, 13469, 609, 3988, 945, 2671, 2147, 10080, 1247, 5356, 10578, 4030, 585, 1346, 1447, 5432, 609, 519, 2528, 780, 3674, 8475, 2353, 29868, 781, 3209, 834, 763, 5600, 540, 519, 9454, 1080, 257, 2934, 3875, 8320, 540, 9589, 17779, 6537, 689, 16266, 534, 18691, 269, 1280, 3236, 267, 27262, 1642, 966, 4150, 267, 835, 540, 519, 1292, 3197, 267, 19299, 804, 1515, 341, 1195, 656, 5759, 15110, 689, 1200, 20516, 267, 513, 10934, 31866, 4095, 269, 10801, 519, 3209, 267, 27262, 3096, 1200, 13344, 547, 3391, 543, 2149, 1200, 1920, 267, 17923, 4798, 540, 6043, 543, 25872, 2066, 5481, 780, 12244, 281, 3194, 513, 12563, 9661, 610, 10828, 689, 513, 2528, 1114, 982, 707, 1378, 269, 10576, 1022, 9589, 610, 16750, 2609, 1369, 519, 1650, 269, 1215, 1223, 596, 6451, 891, 3344, 883, 513, 2413, 6377, 4259, 1247, 4509, 741, 3312, 4644, 286, 3503, 513, 1906, 5220, 28388, 707, 9862, 4528, 540, 519, 9661, 780, 6962, 1384, 300, 698, 673, 17779, 3091, 513, 9159, 11100, 540, 4641, 543, 14810, 267, 4101, 3988, 547, 4228, 741, 4337, 5209, 1247, 3695, 1950, 4798, 543, 4664, 269, 1635, 13215, 2553, 971, 607, 3384, 1825, 15344, 3197, 267, 20747, 2590, 519, 3515, 1063, 4641, 543, 5708, 267, 543, 5373, 2390, 2686, 5389, 267, 14971, 5830, 666, 4739, 22539, 8941, 602, 3560, 9458, 547, 1007, 10600, 4904, 609, 4898, 543, 7872, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 297, 4141, 10830, 3816, 20047, 7316, 1261, 595, 877, 3245, 630, 8512, 5565, 994, 20124, 15894, 281, 1744, 2033, 15182, 731, 454, 5649, 851, 835, 28313, 454, 2026, 25378, 5830, 616, 3168, 585, 513, 9589, 16886, 269, 1358, 13248, 936, 875, 3562, 2835, 267, 4945, 321, 7159, 4930, 267, 4351, 21075, 267, 10478, 585, 602, 835, 3364, 1765, 20813, 3305, 566, 602, 789, 2811, 3257, 713, 3364, 602, 27605, 873, 2476, 689, 2828, 267, 1920, 267, 2215, 8135, 8613 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5982, 780, 3499, 7090, 454, 1721, 1775, 15590, 538, 2039, 3799, 15590, 2187, 825, 4266, 815, 1376, 318, 10277, 1341, 30220, 6745, 574, 539, 12265, 22607, 2293, 284, 8811, 337, 994, 825, 15820, 5091, 1122, 815, 533, 903, 6897, 4732, 6897, 10947, 318, 5306, 3363, 10857, 520, 267, 10693, 267, 4266, 994, 825, 952, 15820, 5091, 1122, 10922, 476, 271, 912, 1038, 5982, 815, 476, 271, 563, 825, 3116, 912, 1038, 5982, 815, 533, 903, 6897, 269, 2784, 2747, 10947, 318, 2784, 2747, 5091, 1311, 5560, 622, 267, 15820, 5091, 1122, 994, 825, 7389, 6910, 5560, 622, 994, 825, 31556, 5091, 1122, 6910, 263, 5306, 3363, 5091, 1122, 994, 825, 2234, 9911, 6910, 263, 2784, 2747, 994, 7884, 1103, 713, 8520, 267, 649, 616, 3257, 519, 1739, 1384, 272, 269, 29626, 519, 4266, 585, 1142, 5662, 563, 273, 269, 29626, 519, 15820, 540, 519, 3141, 585, 519, 2016, 20173, 267, 29978, 267, 543, 4266, 269, 634, 15820, 568, 519, 5086, 1063, 519, 3141, 543, 519, 16880, 269, 1403, 519, 15820, 568, 476, 271, 610, 1447, 267, 519, 3141, 568, 2630, 519, 16880, 267, 543, 972, 568, 1100, 5982, 563, 274, 269, 29626, 519, 5982, 585, 519, 2016, 15820, 269, 1403, 519, 15820, 568, 1657, 476, 271, 267, 649, 5173, 519, 1463, 5982, 689, 519, 3141, 563, 275, 269, 2561, 2056, 519, 4266, 267, 15820, 267, 543, 5982, 547, 741, 9757, 8638, 780, 7661, 267, 649, 786, 5173, 519, 1297, 540, 2395, 689, 519, 1297, 540, 3108, 780, 3499, 7090, 454, 17058, 815, 1496, 8811, 337, 270, 2190, 585, 1775, 15590, 538, 2039, 3799, 15590, 22708, 7884, 1607, 786, 2285, 721, 513, 1592, 540, 519, 1297, 540, 2395, 585, 1142, 5662, 780, 2162, 4825, 9506, 519, 11778, 692, 4263, 519, 1439, 540, 938, 1599, 267, 649, 786, 2132, 519, 2395, 267, 31556, 267, 2234, 9911, 267, 543, 7389, 780, 3499, 7090, 454, 8873, 2395, 267, 31556, 5091, 1122, 267, 2234, 9911, 267, 7389, 454, 7884, 1607, 786, 1450, 721, 547, 946, 519, 2164, 538, 824, 2694, 540, 938, 3009, 780, 1103, 713, 1770, 267, 649, 723, 4121, 875, 547, 5173, 3859, 5982, 585, 513, 2016, 1297, 540, 2395, 693, 513, 1808, 20173, 543, 29978, 269, 1284, 723, 1031, 5124, 547, 1104, 8021, 267, 6023, 942, 10851, 267, 960, 609, 7389, 543, 2053, 267, 543, 5173, 519, 5982, 269, 901, 568, 513, 4052, 3498, 540, 8193, 602, 666, 948, 721, 1174, 811, 827, 938, 1604, 543, 519, 1648, 649, 4309, 689, 519, 3141, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 328, 3512, 324, 16948, 796, 562, 14243, 1067, 334, 834, 333, 257, 632, 1412, 26444, 825, 1412, 323, 6403, 553, 513, 684, 533, 2863, 334, 679, 19448, 4234, 2595, 586, 1279, 2595, 15002, 3385, 630, 834, 26245, 2000, 517, 257, 1260, 334, 1166, 582, 656, 525, 264, 513, 851, 597, 632, 19448, 905, 15939, 632, 538, 545, 1470, 1412, 26444, 825, 1412, 257, 11034, 257, 635, 334, 11188, 552, 329, 6374, 334, 30220, 6155, 520, 8135, 263, 1001, 280, 267, 476, 272, 267, 476, 272, 267, 476, 279, 1040, 7055, 825, 1104, 533, 903, 6897, 454, 825, 1104, 7510, 16379, 454, 825, 1104, 30220, 692, 825, 942, 29773, 815, 7510, 16379, 28333, 29773, 2891, 25567, 320, 20324, 690, 7974, 5602, 825, 1376, 318, 10277, 815, 942, 29773, 7456, 5914, 1125, 263, 11034, 2020, 825, 1948, 12433, 5982, 1169, 5662, 585, 476, 18458, 2395, 454, 825, 562, 15590, 815, 476, 2190, 265, 333, 454, 825, 7389, 267, 31556, 5091, 1122, 267, 2234, 9911, 815, 1592, 19572, 1592, 19572, 1592, 4590, 825, 585, 1775, 15590, 538, 2039, 3799, 15590, 2187, 1038, 4266, 815, 1376, 318, 10277, 1341, 30220, 6745, 574, 539, 12265, 22607, 2293, 284, 8811, 337, 994, 1038, 15820, 5091, 1122, 815, 533, 903, 6897, 4732, 6897, 10947, 318, 5306, 3363, 10857, 520, 267, 10693, 267, 4266, 994, 1038, 952, 15820, 5091, 1122, 10922, 476, 271, 912, 2018, 5982, 815, 476, 271, 563, 1038, 3116, 912, 2018, 5982, 815, 533, 903, 6897, 269, 2784, 2747, 10947, 318, 2784, 2747, 5091, 1311, 5560, 622, 267, 15820, 5091, 1122, 994, 1038, 7389, 6910, 5560, 622, 994, 1038, 31556, 5091, 1122, 6910, 263, 5306, 3363, 5091, 1122, 994, 1038, 2234, 9911, 6910, 263, 2784, 2747, 2020, 825, 2395, 815, 1496, 8811, 337, 270, 2190, 585, 1775, 15590, 538, 2039, 3799, 15590, 264, 6540, 825, 2132, 2395, 267, 31556, 5091, 1122, 267, 2234, 9911, 267, 7389, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 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, 6092, 5149, 281, 11671, 322, 4321, 29407, 538, 5576, 16333, 692, 15916, 972, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 606, 4277, 1888, 1572, 5778, 322, 4321, 14317, 538, 18624, 269, 1411, 1522, 581, 11842, 1018, 782, 1346, 2462, 1913, 1611, 269, 5213, 1405, 5855, 282, 1577, 781, 2736, 621, 1524, 1927, 2439, 20058, 267, 938, 12058, 616, 5863, 8219, 3743, 585, 4543, 721, 1589, 267, 1745, 267, 1847, 267, 543, 1995, 519, 1158, 1472, 721, 269, 6884, 267, 1498, 267, 1945, 4422, 4636, 267, 543, 1004, 666, 1020, 2790, 1072, 2175, 899, 18624, 269, 901, 2783, 5540, 875, 2576, 14659, 267, 7959, 267, 543, 6544, 1161, 4641, 269, 1280, 1383, 267, 789, 1522, 5873, 9739, 602, 5749, 1405, 2731, 972, 267, 1634, 607, 17391, 11913, 26390, 5209, 780, 3086, 267, 4952, 596, 2811, 693, 1753, 6947, 547, 707, 5172, 5152, 267, 855, 10393, 267, 596, 1589, 596, 5873, 707, 3158, 10912, 707, 2012, 689, 1776, 4055, 269, 1809, 7227, 267, 1352, 781, 2965, 3544, 6158, 593, 1200, 6049, 256, 2334, 781, 2186, 540, 2147, 547, 1018, 4523, 609, 17391, 11913, 26390, 5209, 1107, 1152, 3079, 540, 6217, 1919, 602, 616, 1175, 2182, 547, 1118, 856, 267, 1004, 609, 18624, 1522, 5873, 2407, 5220, 610, 1256, 7391, 602, 1810, 1405, 2291, 269, 1452, 2833, 666, 581, 1360, 14845, 543, 1253, 7675, 585, 873, 780, 14722, 3494, 891, 26390, 5209, 1223, 1267, 689, 936, 5562, 2634, 4525, 1818, 834, 29674, 525, 257, 827, 1018, 781, 8345, 538, 519, 1158, 267, 1210, 1991, 2833, 543, 6788, 811, 982, 4890, 10444, 3403, 269, 1879, 713, 19261, 4386, 267, 2523, 1282, 17173, 3871, 267, 621, 949, 1291, 547, 11234, 10054, 827, 519, 2014, 540, 1978, 17915, 267, 4611, 538, 26390, 5209, 780, 2414, 948, 1004, 609, 18624, 4383, 741, 2589, 1732, 267, 3173, 723, 2919, 1585, 11257, 5059, 593, 5355, 5042, 3252, 267, 799, 1797, 2081, 938, 12058, 1184, 1344, 269, 1358, 1289, 713, 5778, 322, 4321, 14317, 269, 1635, 8026, 1114, 2553, 267, 2043, 666, 7794, 741, 5759, 547, 1445, 267, 3314, 1271, 3877, 267, 4194, 2042, 267, 543, 11883, 609, 4101, 3871, 269, 1306, 513, 22429, 267, 1565, 1007, 1983, 849, 2337, 2087, 1582, 12635, 543, 2949, 2298, 540, 1272, 2439, 2467, 3884, 1405, 2943, 513, 10826, 585, 18624, 267, 855, 998, 5571, 1382, 543, 5499, 5574, 899, 5778, 322, 4321, 14317, 267, 3744, 3136, 4466, 2081, 547, 1489, 1346, 4299, 676, 713, 1950, 2783, 269, 8625, 267, 649, 666, 3262, 4656, 543, 1620, 547, 1711, 513, 17321, 2104, 585, 3025, 2713, 609, 2790, 1072, 2591, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 295, 718, 1075, 5209, 267, 1519, 17391, 11913, 26390, 5209, 630, 16787, 295, 1070, 2049, 538, 1312, 519, 2635, 2551, 543, 538, 2618, 5328, 2175, 971, 607, 18624, 630, 21865, 3384, 1310, 513, 605, 323, 668, 531, 1974, 1040, 769, 1840, 267, 26390, 5209, 666, 581, 538, 8410, 3667, 630, 16269, 666, 581, 5812, 609, 519, 1604, 267, 971, 607, 950, 835, 26390, 7149, 519, 1439, 540, 513, 4845, 602, 814, 1044, 7368, 1082, 2053, 1070, 610, 856, 6361, 8410, 3667, 630, 7945, 607, 519, 29737, 26390, 5209, 2404, 609, 18624, 1040, 769, 3105, 960, 267, 649, 5189, 513, 2203, 540, 26390, 5209, 607, 7301, 630, 27168, 264, 31921, 1759, 593, 513, 630, 15812, 990, 3375, 1184, 264, 19862, 540, 3742, 23221, 269, 769, 713, 960, 267, 649, 8831, 713, 2203, 547, 1331, 1543, 1700, 1729, 30035, 519, 12985, 6127, 3297, 538, 268, 543, 856, 6361, 8410, 3667, 26390, 5209, 269, 769, 3742, 23221, 267, 10444, 1344, 568, 1031, 547, 771, 3711, 580, 10663, 4244, 19165, 827, 519, 3123, 540, 17915, 269, 11576, 800, 1344, 568, 7059, 1996, 1991, 4978, 267, 543, 950, 713, 3666, 568, 512, 5792, 538, 519, 3870, 540, 1991, 4978, 267, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 32507, 322, 4321, 29407, 538, 5576, 16333, 257, 607, 851, 540, 834, 25787, 1315, 5369, 31752, 1315, 5576, 16333, 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, 7170, 281, 4197, 1763, 7808, 12140, 281, 589, 5262, 2159, 3487, 540, 4516, 781, 3778, 692, 7072, 912, 5331, 1373, 3144, 2476, 689, 707, 1920, 543, 2366, 547, 2661, 538, 513, 1747, 1141, 596, 616, 711, 4847, 547, 3717, 707, 1893, 610, 2259, 707, 2528, 269, 901, 2731, 5949, 547, 1082, 7087, 1453, 2066, 4516, 585, 936, 513, 4627, 1296, 269, 1452, 4025, 941, 1572, 10821, 3506, 269, 2913, 781, 1451, 827, 713, 1271, 855, 4101, 3184, 538, 8225, 1686, 1927, 780, 4089, 476, 272, 281, 1548, 21518, 1763, 7808, 12140, 2496, 4910, 7808, 3506, 941, 27756, 3506, 602, 7142, 7087, 1453, 630, 5575, 8315, 267, 631, 18863, 529, 267, 543, 27478, 264, 547, 4734, 741, 3885, 543, 2950, 269, 1358, 1185, 547, 979, 972, 547, 1451, 827, 3864, 9821, 267, 4654, 267, 10764, 267, 543, 2081, 540, 2713, 269, 634, 2229, 543, 13039, 10443, 891, 3506, 547, 15849, 30968, 1107, 610, 11100, 1107, 7087, 9082, 883, 13416, 16402, 4211, 534, 6598, 2486, 269, 2667, 574, 7976, 5921, 1818, 873, 1589, 267, 957, 267, 543, 3494, 899, 3043, 13896, 269, 19759, 569, 267, 676, 3257, 865, 267, 621, 2144, 1078, 741, 1378, 2189, 9163, 267, 4529, 267, 543, 5389, 780, 4089, 476, 273, 281, 5020, 18738, 1763, 7808, 12140, 692, 16908, 3330, 10821, 3506, 729, 1419, 10792, 543, 7453, 269, 5753, 6170, 1034, 540, 741, 2395, 9674, 689, 741, 16254, 543, 2828, 269, 1358, 4553, 16131, 14095, 609, 26050, 267, 4081, 5049, 267, 3909, 10752, 267, 543, 2370, 1863, 942, 269, 11283, 531, 10751, 1107, 2168, 6057, 1107, 729, 1455, 950, 3214, 13264, 3652, 610, 12038, 741, 5065, 4654, 269, 3509, 11124, 3929, 543, 4638, 6057, 1932, 269, 5253, 729, 2356, 4057, 2298, 267, 3056, 547, 22926, 269, 29520, 3262, 3533, 1813, 547, 5667, 534, 3202, 2175, 269, 2353, 540, 891, 2188, 8329, 547, 513, 1164, 2669, 2557, 1851, 1053, 780, 4089, 476, 274, 281, 12186, 540, 1763, 7808, 12140, 692, 4910, 7808, 3506, 2451, 2620, 26711, 593, 5481, 540, 7087, 1004, 269, 18984, 643, 832, 4810, 8194, 267, 2530, 540, 3961, 267, 2686, 771, 28947, 267, 543, 5134, 6412, 2509, 6392, 5515, 269, 19198, 5185, 2591, 556, 6618, 532, 1310, 5756, 6306, 269, 18877, 17388, 17215, 1317, 9952, 4600, 941, 3144, 2476, 607, 1453, 269, 3955, 23400, 8194, 5170, 547, 1860, 7087 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1978, 2179, 540, 3444, 27492, 267, 538, 602, 972, 616, 13677, 2197, 23929, 602, 1331, 1164, 1633, 2609, 607, 1134, 607, 1164, 1633, 16654, 2773, 23929, 799, 946, 21272, 6382, 2938, 538, 2197, 23929, 267, 855, 891, 616, 5266, 1906, 950, 519, 1079, 7544, 3029, 616, 2808, 1142, 607, 513, 2898, 2529, 22574, 880, 11951, 454, 9928, 2714, 880, 11951, 568, 519, 1808, 1305, 540, 5986, 5389, 267, 2853, 543, 32345, 2404, 609, 10430, 269, 898, 814, 10058, 10305, 543, 10346, 540, 922, 1378, 267, 855, 8843, 1454, 609, 9962, 3703, 543, 3864, 11951, 607, 513, 1267, 540, 2199, 543, 4914, 7506, 267, 1312, 3504, 543, 2413, 269, 12465, 13677, 8286, 2291, 7258, 3486, 1426, 560, 32332, 4547, 827, 676, 9194, 563, 9928, 582, 1633, 781, 2067, 561, 731, 518, 540, 3014, 267, 10683, 2472, 267, 3165, 267, 4829, 267, 543, 5388, 568, 519, 8783, 3815, 538, 2757, 29703, 5986, 267, 609, 513, 1164, 16126, 593, 16134, 543, 513, 3668, 540, 14546, 689, 13383, 267, 607, 891, 941, 13840, 4686, 543, 7199, 11053, 24397, 538, 10430, 454, 9928, 582, 1633, 568, 513, 1134, 31465, 15805, 10278, 267, 609, 9235, 3622, 1373, 3743, 585, 24569, 476, 1220, 267, 1822, 6009, 5631, 538, 519, 3028, 5823, 267, 609, 15805, 7836, 19011, 1645, 693, 11278, 275, 16818, 829, 1032, 269, 769, 476, 1001, 274, 267, 585, 1383, 267, 5177, 8436, 1500, 476, 1240, 269, 276, 2929, 11564, 547, 10430, 267, 9363, 476, 5038, 269, 276, 2929, 17334, 543, 7836, 11278, 274, 269, 278, 16818, 269, 769, 4334, 267, 18246, 7264, 1500, 476, 272, 269, 6812, 2929, 11564, 547, 10430, 267, 9363, 476, 1428, 2929, 17334, 543, 7836, 11278, 3199, 277, 332, 269, 769, 2474, 540, 18246, 8436, 267, 1346, 689, 519, 2136, 2276, 1500, 909, 476, 2190, 260, 540, 11564, 547, 10430, 267, 609, 519, 2136, 2276, 1373, 519, 4102, 2707, 540, 18246, 8436, 267, 543, 5125, 630, 280, 15992, 5333, 630, 279, 15992, 4516, 630, 278, 8472, 543, 5245, 630, 277, 15992, 1739, 3297, 2529, 20799, 1633, 568, 3622, 2938, 607, 513, 2973, 267, 796, 4944, 334, 2830, 10278, 609, 4190, 29278, 799, 814, 513, 1279, 543, 1950, 1686, 267, 5916, 609, 5215, 540, 8978, 4609, 543, 18845, 269, 1452, 1331, 22300, 6149, 10580, 267, 7555, 10007, 543, 19746, 20830, 267, 543, 1585, 27705, 6520, 267, 11635, 6520, 543, 12942, 6520, 3788, 269, 1703, 616, 849, 1082, 8978, 28151, 267, 8075, 267, 543, 6370, 3033, 338, 267, 21219, 543, 15882, 269, 3509, 1004, 616, 6537, 676, 519, 2528, 540, 10430, 563, 763, 4872, 540, 25470, 543, 29161, 616, 5051, 1373, 2938, 607, 513, 14421, 641, 13457, 4244, 547, 10430, 781, 24781, 267, 609, 8436, 1032, 5180, 267, 855, 519, 1292, 15805, 4005, 568, 3622, 689, 4989, 547, 5239, 8537, 269, 769, 1840, 547, 891, 2188, 267, 519, 3084, 15805, 8116, 267, 16731, 9928, 582, 1633, 267, 723, 18611, 513, 4640, 540, 13395, 6725, 267, 6322, 693, 29227, 267, 10838, 824, 1919, 267, 10430, 781, 9342, 538, 17075, 267, 10068, 543, 1426, 543, 4235, 9235, 269, 6271, 1713, 267, 543, 5051, 2442, 2601, 585, 9235, 547, 10430, 1765, 18034, 676, 1346, 689, 3345, 3013, 28934, 5444, 30688, 267, 609, 1082, 8436, 4947, 547, 10430, 547, 2263, 741, 1920, 543, 18577, 5072, 269, 10000, 4477, 569, 589, 320, 454, 10000, 4477, 569, 589, 320, 630, 610, 24505, 268, 3559, 268, 2465, 268, 16745, 282, 12777, 834, 10000, 10513, 1496, 21196, 316, 2353, 8442, 666, 3277, 547, 1022, 540, 12964, 3595, 15976, 4371, 12422, 538, 519, 2701, 339, 1633, 11866, 540, 10430, 267, 538, 519, 1647, 540, 5162, 547, 1665, 519, 1439, 540, 519, 586, 2544, 4005, 269, 634, 1292, 13037, 3322, 513, 1184, 542, 540, 909, 547, 513, 8536, 1368, 9088, 538, 700, 518, 19213, 543, 14320, 2539, 2338, 538, 519, 811, 6917, 15976, 267, 4646, 883, 2695, 6758, 945, 15292, 998, 519, 4884, 610, 8498, 538, 513, 3099, 540, 873, 539, 24853, 269, 769, 700, 518, 19213, 6690, 543, 2021, 616, 16934, 689, 10283, 607, 1368, 9088, 267, 5103, 5717, 538, 476, 1001, 279, 543, 476, 1001, 280, 563, 347, 1805, 919, 609, 3908, 347 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27120, 945, 786, 3003, 519, 8003, 1354, 519, 10583, 1884, 923, 540, 10271, 609, 1164, 536, 992, 8219, 543, 3423, 1231, 269, 1656, 2417, 3467, 267, 538, 865, 2484, 607, 891, 9620, 941, 28703, 856, 540, 513, 2295, 325, 3881, 2648, 585, 4906, 543, 513, 7287, 547, 10847, 13924, 267, 4906, 729, 20938, 609, 741, 4816, 3268, 543, 21071, 945, 3802, 538, 519, 18930, 539, 2648, 540, 2441, 1332, 909, 883, 15657, 269, 1656, 713, 4422, 585, 782, 540, 721, 267, 2436, 649, 2811, 726, 9722, 856, 2025, 1728, 332, 985, 593, 513, 14440, 610, 1818, 513, 32219, 678, 3089, 639, 593, 513, 674, 2658, 563, 2791, 666, 1224, 519, 1101, 851, 540, 713, 2689, 1934, 563, 31388, 267, 5130, 476, 6734, 267, 476, 1001, 272, 454, 1103, 519, 2025, 519, 16860, 5717, 267, 24398, 269, 476, 276, 281, 1704, 2141, 5129, 513, 7986, 1909, 269, 769, 1018, 2631, 1281, 4906, 834, 995, 15640, 257, 519, 1876, 543, 519, 28556, 286, 1809, 519, 2262, 834, 995, 15640, 257, 568, 1945, 540, 513, 1883, 2165, 538, 15623, 781, 22258, 269, 634, 5259, 2262, 623, 6369, 312, 6938, 302, 568, 1031, 476, 1626, 2053, 538, 15623, 779, 22258, 267, 543, 538, 476, 1724, 540, 1346, 20825, 267, 15623, 3096, 519, 2262, 547, 4766, 875, 4906, 685, 1378, 3527, 610, 1913, 968, 995, 15640, 892, 1018, 729, 9275, 538, 519, 4521, 543, 11330, 515, 1206, 543, 13360, 902, 540, 519, 12355, 14644, 999, 281, 661, 3052, 269, 968, 3383, 782, 713, 729, 2944, 602, 621, 1522, 581, 24009, 799, 729, 9275, 676, 519, 7083, 998, 519, 22445, 2507, 892, 630, 300, 339, 269, 476, 272, 281, 2420, 267, 32647, 269, 476, 273, 281, 1428, 267, 476, 273, 281, 1704, 267, 476, 273, 281, 2537, 267, 476, 276, 281, 1704, 267, 476, 2918, 281, 7918, 267, 3092, 28593, 11693, 519, 1249, 602, 4906, 568, 12799, 543, 17697, 569, 556, 523, 716, 532, 519, 1650, 540, 5840, 267, 621, 1281, 711, 3100, 2693, 602, 15623, 1031, 713, 2262, 476, 1724, 2053, 18417, 269, 476, 1321, 568, 519, 1297, 540, 519, 11031, 540, 5840, 267, 543, 476, 1724, 5267, 602, 4906, 568, 519, 20106, 540, 519, 2025, 5840, 7132, 835, 269, 1261, 568, 5840, 543, 2943, 1945, 2484, 3152, 563, 3719, 952, 835, 4941, 547, 1174, 1018, 4906, 5921, 676, 711, 4947, 547, 6861, 519, 1876, 543, 519, 28556, 855, 2864, 814, 2097, 547, 834, 995, 15640, 257, 519, 1876, 543, 519, 28556, 267, 621, 4667, 899, 519, 1101, 1900, 1131, 581, 547, 798, 513, 9488, 608, 1122, 564, 673, 1353, 540, 782, 1346, 824, 3096, 269, 1879, 15623, 3081, 9478, 543, 6307, 781, 8184, 547, 5527, 568, 513, 834, 995, 15640, 618, 257, 540, 670, 846, 320, 781, 28897, 267, 834, 11073, 540, 5527, 267, 594, 723, 1572, 1250, 5067, 24222, 257, 649, 11129, 547, 1413, 693, 602, 834, 995, 15640, 618, 257, 952, 649, 1616, 547, 1174, 875, 4906, 3357, 547, 834, 995, 15640, 257, 519, 1876, 543, 519, 28556, 543, 711, 6861, 873, 563, 13731, 5733, 568, 782, 827, 519, 2648, 540, 2696, 585, 3571, 1004, 267, 585, 519, 1158, 267, 543, 952, 649, 1174, 713, 267, 938, 3210, 1590, 581, 2648, 585, 2696, 543, 585, 3571, 1004, 543, 585, 519, 1158, 563, 11990, 3081, 602, 7301, 28556, 723, 8854, 856, 883, 519, 1158, 267, 4904, 609, 519, 6891, 540, 1884, 747, 2077, 267, 945, 20912, 602, 2441, 814, 2097, 538, 519, 17145, 630, 272, 808, 333, 269, 476, 275, 281, 272, 268, 274, 1040, 1809, 1261, 945, 568, 538, 721, 568, 3152, 982, 646, 945, 568, 538, 519, 1158, 630, 275, 281, 275, 1040, 1656, 649, 666, 2995, 945, 1004, 4866, 547, 676, 519, 9739, 789, 6432, 547, 630, 275, 281, 276, 268, 277, 1040, 3627, 17938, 2176, 519, 5783, 547, 2648, 835, 1776, 1317, 713, 568, 519, 1665, 540, 519, 1272, 540, 2696, 281, 2696, 568, 2648, 630, 275, 281, 278, 268, 279, 1040, 8285, 543, 14914, 616, 519, 1390, 19183, 540, 519, 2648, 540, 2696, 630, 275, 281, 280, 268, 1015, 1070, 543, 950, 1004, 1205, 602, 267, 789, 2648, 835, 1776, 630, 275, 281, 1556, 1040, 901, 568, 1317, 1256, 1498, 1100, 835, 814, 2479, 2938, 2696, 267, 2696, 2729, 593, 3618, 538, 1004, 945, 723, 1044, 1266, 5285, 539, 538, 519, 2648, 540, 519, 12429, 543, 12312, 998, 519, 13336, 630, 275, 281, 1321, 268, 1691, 1040, 1284, 949, 711, 723, 2938, 2696, 267, 855, 649, 723, 2938, 543, 1449, 1518, 602, 519, 12429, 2366, 519, 12312, 630, 275, 281, 1321, 267, 476, 1691, 268, 1428, 1040, 1656, 713, 568, 1946, 607, 649, 2648, 13924, 543, 835, 1776, 267, 2696, 2729, 538, 721, 267, 865, 602, 968, 553, 1261, 568, 267, 865, 616, 649, 538, 713, 1158, 892, 630, 275, 281, 1626, 268, 1704, 1040, 634, 6587, 540, 2648, 568, 4250, 267, 543, 4250, 568, 18930, 539, 609, 10751, 630, 275, 281, 1240, 267, 32647, 269, 24398, 269, 476, 1839, 281, 5379, 1040, 1284, 798, 711, 2648, 13924, 856, 540, 4250, 855, 1317, 1261, 14560, 721, 630, 275, 281, 866, 1070, 543, 938, 2648, 540, 2696, 568, 8810, 676, 938, 2648, 585, 519, 1004, 1318, 538, 4395, 540, 721, 630, 275, 281, 736, 268, 2641, 1040, 634, 6169, 540, 8285, 568, 538, 938, 2648, 585, 2696, 538, 2441, 607, 1261, 568, 1459, 538, 1346, 1472, 721, 269, 901, 568, 1946, 3627, 568, 865, 5249, 909, 827, 519, 6891, 540, 1884, 747, 2077, 945, 3954, 625, 2441, 3357, 538, 519, 17145, 269, 769, 519, 1651, 28271, 649, 723, 2938, 2696, 676, 519, 1379, 540, 519, 13336, 267, 855, 3627, 6487, 602, 713, 1651, 7568, 908, 13336, 1705, 711, 9096, 950, 4906, 10841, 2105, 883, 13140, 269, 13298, 267, 602, 1482, 1651, 7568, 908, 267, 8285, 13336, 729, 23953, 856, 593, 782, 17145, 693, 19999, 1815, 739, 269, 2755, 4906, 568, 538, 13140, 538, 3571, 17145, 267, 519, 13336, 568, 1818, 13924, 1459, 1934, 538, 713, 1158, 538, 543, 998, 519, 17145, 540, 519, 25598, 563, 18455, 513, 4168, 1797, 1373, 513, 1167, 2118, 282, 621, 1797, 649, 723, 2451, 3388, 585, 4906, 938, 9457, 269, 1809, 938, 31112, 538, 519, 1234, 11526, 2245, 568, 547, 21467, 332, 3508, 1125, 519, 7214, 2427, 540, 2648, 267, 547, 519, 1033, 337, 2939, 540, 519, 1964, 540, 1480, 1995, 269, 1809, 519, 6574, 4971, 618, 568, 547, 2648, 2696, 609, 782, 602, 649, 616, 267, 711, 1175, 938, 8186, 630, 291, 339, 269, 476, 277, 281, 276, 267, 24398, 269, 476, 2420, 281, 4391, 1070, 543, 4906, 1202, 1235, 602, 15962, 13924, 568, 3844, 547, 1739, 13924, 630, 297, 333, 269, 476, 2641, 281, 1428, 268, 866, 1040, 6754, 13462, 1702, 267, 2648, 267, 543, 519, 4527, 540, 2696, 607, 1134, 630, 292, 874, 269, 476, 274, 281, 1704, 268, 866, 1040, 1656, 5469, 782, 519, 726, 584, 1023, 563, 26469, 26717, 909, 713, 6249, 538, 476, 273, 29833, 2103, 476, 276, 607, 1134, 1141, 646, 568, 8195, 21108, 1010, 1378, 22754, 543, 1028, 1005, 519, 29833, 2103, 540, 519, 5168, 540, 519, 22258, 269, 1656, 519, 3364, 602, 13462, 891, 1079, 568, 519, 13336, 540, 2696, 945, 568, 741, 10018, 630, 22396, 269, 476, 272, 808, 333, 269, 476, 275, 281, 1321, 268, 1724, 1040, 1656, 713, 13336, 568, 519, 2648, 540, 2441, 8903, 873, 543, 1818, 873, 3100, 21173, 630, 273, 4856, 269, 476, 276, 281, 1724, 268, 1691, 1040, 901, 1482, 13336, 533, 2293, 856, 1082, 1114, 13344, 267, 855, 621, 568, 519, 1482, 30442, 2648, 540, 519, 27076, 693, 960, 538, 782, 630, 272, 4856, 269, 476, 1321, 268, 1724, 1040, 4475, 267, 8285, 1797, 6616, 519, 2648, 540, 2696, 538, 2441, 543, 15962, 835, 1776, 630, 272, 808, 333, 269, 476, 275, 281, 280, 268, 1556, 1040, 0, 10345, 22268, 3633, 11553, 8577, 11555, 4041, 17955, 912, 273, 270, 273, 270, 1001, 273, 476, 276, 281, 5325, 281, 5392, 6751, 29643, 454, 347, 294, 1037, 670, 690, 4303, 910, 5845, 543, 3571, 21023, 687, 454, 309, 3041, 3951, 25723, 7034, 25492, 630, 16753, 811, 994, 9213, 267, 5988, 476, 273, 267, 476, 1001, 273, 568, 15722, 343, 338, 583, 1177, 2284, 5845, 781, 476, 14695, 628, 1322, 333, 739, 1709, 2336, 1607, 1554, 814, 1044, 9976, 538, 15722, 343, 338, 583, 1177, 2284, 2094, 476, 6642, 277, 563, 303, 684, 343, 338, 583, 1177, 2284, 5845, 568, 519, 1152, 3020, 4365, 20925, 2666, 32120, 269, 634, 1866, 616, 1175, 791, 739, 832, 563, 24589, 781, 12605, 568, 2953, 476, 1911, 260, 540, 519, 942, 267, 540, 1576, 2336, 2467, 814, 1152, 1044, 835, 15722, 343, 338, 583, 1177, 2284, 5845, 269, 1261, 814, 1044, 1818, 11236, 585, 936, 476, 10219, 1296, 2336, 303, 684, 343, 338, 583, 1177, 2284, 5845, 4991, 1010, 15325, 689, 6704, 519, 834, 601, 1460, 597, 540, 1272, 2437, 513, 5728, 11600, 269, 5845, 3217, 835, 521, 760, 1169, 4832, 693, 519, 16140, 32120, 20266, 5371, 543, 621, 4012, 1227, 3947, 1864, 5722, 811, 1296, 540, 1272, 563, 9336, 1032, 593, 5988, 476, 273, 267, 5845, 2501, 856, 540, 1010, 3276, 992, 593, 717, 984, 321, 2401, 781, 12928, 984, 910, 538, 4395, 540, 5215, 540, 13794, 689, 782, 936, 519, 1158, 910, 547, 3589, 519, 4365, 585, 519, 1964, 540, 5162, 563, 6097, 547, 10828, 267, 952, 15722, 343, 338, 583, 1177, 2284, 5845, 12034, 1010, 14692, 267, 972, 786, 581, 3670, 811, 4374, 540, 5162, 4365, 269, 1403, 646, 1281, 711, 1294, 1010, 14692, 267, 972, 786, 581, 606, 2038, 5614, 563, 5475, 5845, 19674, 689, 1010, 3276, 992, 593, 5988, 476, 273, 267, 646, 14753, 547, 519, 16140, 32120, 11833, 7022, 538, 834, 294, 1037, 32120, 3150, 257, 263, 320, 1893, 1152, 6956, 676, 519, 1699, 7022, 540, 519, 28740, 17781, 1040, 3571, 605, 17474, 568, 1287, 12261, 585, 519, 1158, 563, 14367, 11236, 616, 10691, 1634, 538, 4434, 563, 763, 2616, 766, 540, 16140, 32120, 4303, 3459, 609, 12425, 781, 9998, 13896, 269, 1358, 4547, 609, 873, 519, 10828, 540, 15443, 548, 5733, 4303, 267, 799, 2829, 267, 834, 2690, 607, 519, 3141, 31438, 593, 15443, 548, 5733, 4303, 267, 865, 2484, 786, 519, 6777, 2220, 20071, 538, 2904, 907, 4799, 303, 523, 11796, 781, 9998, 13896, 941, 16586, 543, 789, 1336, 513, 1390, 2179, 540, 2666, 327, 9233, 538, 1082, 2694, 540, 519, 1533, 269, 1358, 5462, 602, 519, 2666, 32120, 267, 23401, 519, 3864, 21963, 32120, 267, 729, 513, 1034, 10995, 543, 24534, 3662, 543, 4061, 4956, 602, 952, 519, 3141, 1705, 2408, 593, 5988, 476, 273, 526, 267, 865, 8797, 606, 3662, 607, 519, 2666, 32120, 1131, 1294, 922, 14692, 543, 31657, 1394, 883, 922, 11895, 1753, 585, 1776, 3670, 4374, 540, 5162, 563, 303, 684, 343, 338, 583, 1177, 2284, 4371, 922, 1101, 16140, 32120, 4303, 538, 519, 476, 5197, 271, 338, 269, 634, 1101, 4013, 3460, 547, 717, 984, 321, 2401, 781, 12928, 984, 729, 1500, 593, 5988, 476, 273, 267, 476, 6642, 278, 563, 303, 684, 343, 338, 583, 1177, 2284, 5845, 729, 3957, 1310, 3751, 22361, 760, 269, 13405, 547, 1373, 1572, 5845, 267, 646, 729, 1572, 5696, 262, 518, 16140, 32120, 563, 16100, 338, 899, 596, 991, 547, 1832, 1346, 25151, 267, 11058, 543, 17309, 856, 269, 5845, 4718, 1010, 14692, 2221, 267, 865, 5654, 899, 649, 786, 723, 3670, 811, 4374, 540, 5162, 563, 302, 24810, 15722, 343, 338, 583, 1177, 2284, 5845, 781, 3896, 281, 8940, 269, 3033, 32120, 3820, 454, 10303, 898, 781, 2353, 6168, 9358, 256, 543, 21744, 23126, 543, 2659, 5020, 585, 519, 14568, 454, 24082, 744, 310, 301, 2207, 25265, 19006, 912, 1262, 1411, 991, 547, 581, 513, 4759, 540, 594, 19447, 339, 944, 7901, 547, 6085, 269, 8437, 3371, 547, 1711, 1863, 2272, 563, 2005, 568, 1250, 1390, 8956, 547, 723, 519, 4960, 547, 1413, 998, 713, 1360, 8799, 543, 13181, 9708, 269, 901, 568, 1390, 282, 594, 2648, 621, 269, 594, 5660, 1018, 596, 616, 3257, 547, 22010, 938, 2872, 269, 3509, 7064, 585, 4687, 713, 609, 803, 269, 594, 993, 3168, 4464, 547, 811, 1651, 924, 995, 1344, 689, 596, 2336, 289, 1652, 902, 1299, 18370, 704, 640, 454, 293, 599, 8479, 12789, 8198, 347, 24030, 5816, 5162, 568, 1869, 1851, 721, 543, 649, 798, 723, 547, 1832, 3636, 922, 4411, 538, 27924, 2008, 347, 296, 1031, 547, 2661, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3460, 998, 942, 267, 3695, 519, 4241, 1158, 540, 14364, 1686, 256, 4653, 267, 649, 786, 4685, 883, 875, 10236, 5505, 1353, 1114, 4529, 543, 1451, 827, 741, 7900, 6575, 5389, 269, 1284, 786, 946, 519, 1383, 540, 9299, 2478, 15781, 538, 4639, 4000, 547, 1174, 713, 1732, 780, 5331, 596, 616, 606, 10236, 6048, 899, 14529, 1638, 320, 661, 321, 1258, 267, 945, 6594, 22407, 1572, 17680, 1824, 538, 634, 717, 25995, 267, 513, 1507, 2197, 538, 4639, 4000, 269, 1452, 16805, 12372, 267, 1650, 339, 25527, 267, 543, 12206, 723, 1044, 4687, 8941, 543, 13465, 9299, 2478, 585, 5481, 256, 1358, 1780, 1524, 2984, 543, 1344, 827, 1004, 543, 2621, 998, 5152, 267, 5329, 8823, 9800, 543, 1818, 1007, 3283, 2059, 519, 1259, 780, 294, 686, 1824, 666, 2206, 9299, 2478, 585, 4896, 31539, 6705, 547, 15438, 256, 1879, 789, 2206, 2576, 781, 9299, 2478, 267, 789, 5031, 741, 18517, 267, 22838, 267, 7326, 267, 610, 11587, 269, 898, 781, 513, 4190, 2245, 602, 18791, 2146, 7554, 676, 14120, 2043, 1927, 269, 1809, 972, 781, 811, 982, 1175, 9913, 282, 891, 12644, 7866, 1271, 3344, 540, 1272, 538, 4639, 4000, 780, 3086, 1577, 781, 4952, 1776, 1747, 4448, 547, 713, 3638, 2686, 5385, 9789, 11908, 7256, 11866, 538, 519, 2136, 2276, 269, 1411, 1522, 4898, 1018, 6402, 6263, 634, 717, 25995, 547, 10195, 1055, 519, 25878, 5032, 540, 519, 7330, 286, 4270, 267, 621, 814, 1945, 547, 798, 609, 1346, 10707, 17680, 1824, 543, 519, 2856, 540, 1412, 339, 7211, 640, 9538, 692, 307, 7211, 640, 4016, 547, 3838, 2833, 1063, 4525, 2282, 519, 20337, 1141, 3636, 16374, 1711, 2147, 2371, 267, 2831, 267, 543, 2081, 540, 2713, 269, 4658, 689, 971, 4025, 1419, 1745, 5532, 1317, 789, 2671, 1455, 2591, 543, 3435, 1813, 547, 741, 1604, 269, 1924, 950, 20665, 20338, 941, 4547, 547, 3013, 5553, 3516, 267, 930, 1185, 8129, 538, 2127, 2673, 547, 17680, 582, 11182, 269, 1306, 513, 1267, 267, 2609, 540, 17680, 582, 2528, 14612, 2066, 519, 5836, 1932, 2439, 4002, 519, 11908, 7256, 11866, 267, 18939, 540, 20665, 4639, 20338, 6854, 9800, 2694, 540, 741, 6561, 267, 1519, 2575, 543, 9423, 2553, 24188, 540, 17680, 1824, 269, 1635, 4974, 1312, 6753, 267, 3173, 899, 6754, 715, 269, 29885, 948, 721, 1294, 4296, 1063, 1079, 9583, 20775, 9634, 593, 3047, 269, 5808, 6785, 602, 835, 1223, 1265, 16060, 540, 4639, 3979, 2773, 5389, 18955, 883, 1977, 9381, 2950, 2496, 2026, 2104, 5640, 267, 1620, 891, 3140, 15377, 2337, 22962, 938, 5380, 593, 2518, 4763, 269, 5457, 267, 1169, 7944, 540, 519, 1158, 3091, 2189, 13344, 17709, 540, 11812, 543, 11091, 269, 5901, 1565, 543, 3695, 1107, 945, 6487, 1018, 824, 5863, 8906, 24098, 721, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18662, 540, 28299, 543, 7070, 454, 4537, 12976, 476, 1556, 268, 736, 540, 476, 2568, 11778, 454, 10112, 1539, 622, 7905, 540, 28668, 454, 27807, 25508, 1638, 320, 661, 321, 1258, 8678, 519, 8257, 538, 476, 1960, 273, 269, 661, 321, 1258, 568, 519, 2278, 540, 27400, 4000, 267, 513, 960, 1759, 593, 1200, 1382, 538, 634, 717, 25995, 602, 15244, 519, 4644, 540, 4639, 3979, 17192, 1606, 532, 619, 538, 30427, 13341, 269, 589, 2034, 1788, 6212, 593, 9341, 640, 543, 6237, 1143, 607, 621, 13218, 4639, 4000, 543, 519, 772, 2529, 269, 11908, 7256, 11866, 538, 513, 5188, 827, 5251, 267, 3965, 543, 2797, 10575, 3424, 269, 901, 1788, 568, 13886, 267, 834, 21430, 23427, 4000, 538, 519, 11908, 7256, 11866, 4799, 26469, 715, 269, 29885, 454, 25938, 1640, 17976, 337, 538, 519, 5358, 538, 3163, 267, 5303, 543, 5980, 454, 27807, 296, 6415, 10615, 540, 519, 5358, 593, 3163, 267, 5303, 1299, 5980, 630, 4306, 306, 264, 543, 513, 5261, 808, 269, 31473, 29533, 538, 4139, 8232, 693, 519, 4741, 585, 4139, 8232, 543, 29046, 693, 18628, 269, 594, 849, 1071, 1673, 1311, 519, 18628, 1401, 626, 1113, 24093, 19541, 609, 4515, 269, 19378, 700, 889, 344, 563, 296, 6415, 7905, 540, 6176, 543, 3778, 630, 28770, 7978, 264, 693, 519, 2160, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 831, 3778, 257, 607, 851, 540, 834, 16300, 13493, 1315, 30765, 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, 280, 269, 273, 8892, 19648, 538, 519, 5530, 540, 15932, 22948, 593, 28977, 543, 700, 3430, 1182, 692, 2026, 649, 9959, 713, 1837, 593, 4351, 3157, 593, 11708, 543, 22092, 1182, 267, 621, 568, 1271, 547, 2015, 519, 2104, 8846, 540, 713, 3078, 543, 6385, 9687, 2361, 269, 901, 3803, 3296, 786, 2263, 930, 540, 519, 1034, 9621, 2127, 540, 1382, 267, 607, 1134, 607, 930, 5571, 9840, 543, 27900, 269, 1284, 4126, 602, 676, 10223, 891, 3584, 267, 649, 666, 8300, 2417, 7634, 543, 6602, 1851, 938, 3988, 780, 306, 6312, 658, 8416, 5811, 454, 10900, 692, 3080, 1858, 540, 3395, 1719, 568, 8901, 3060, 2079, 267, 799, 3322, 4974, 875, 4351, 3157, 2170, 609, 1950, 1949, 11251, 538, 2230, 269, 1452, 1949, 1223, 581, 4376, 689, 6283, 5121, 547, 1514, 5121, 267, 543, 1620, 741, 2623, 814, 6286, 585, 4610, 8151, 689, 4683, 4058, 547, 27496, 780, 288, 3226, 3742, 1858, 540, 1382, 1369, 8901, 3060, 2079, 568, 519, 1353, 540, 829, 3712, 566, 593, 1483, 8996, 5121, 269, 2755, 1454, 540, 519, 2038, 960, 593, 829, 3712, 566, 729, 2944, 593, 2834, 22092, 1182, 267, 811, 2487, 2090, 723, 5059, 593, 12150, 5121, 971, 607, 1346, 1336, 538, 4872, 610, 2228, 2950, 269, 1635, 7421, 519, 14479, 3270, 540, 891, 5121, 267, 3173, 4126, 547, 2744, 4030, 883, 875, 3676, 3262, 267, 6808, 7575, 267, 543, 1344, 886, 4926, 998, 2230, 780, 5194, 9621, 4287, 568, 519, 1353, 540, 4351, 15211, 593, 1875, 7232, 16090, 22470, 5624, 267, 971, 607, 17208, 7252, 610, 7030, 9529, 269, 6348, 7232, 16090, 22470, 9511, 814, 1044, 1031, 547, 4766, 9259, 8151, 689, 519, 3337, 540, 519, 7122, 547, 519, 2497, 540, 5946, 267, 855, 2394, 5063, 2370, 3007, 1185, 1044, 6976, 547, 519, 1909, 540, 4351, 1145, 538, 891, 8658, 269, 10765, 960, 814, 3254, 602, 1082, 540, 519, 1482, 2553, 2919, 585, 28070, 5624, 666, 581, 6905, 547, 1875, 7232, 16090, 22470, 3283, 267, 6679, 909, 1007, 18817, 540, 3408, 780, 300, 22389, 4804, 543, 4578, 3163, 454, 29432, 1103, 2487, 1296, 267, 3684, 1565, 543, 1239, 2257, 723, 19117, 1082, 4610, 267, 1519, 6323, 543, 6128, 269, 634, 1353, 540, 4351, 3157, 593, 11708, 543, 22092, 1182, 568, 1100, 9868, 267, 607, 3173, 5051, 2490, 547, 6620, 543, 12985, 2409, 547, 5659, 1804, 14449, 780, 3080, 3498, 540, 3684, 1565, 547, 4351, 3157, 568, 519, 8446, 540, 5123, 13289, 538, 1950, 1949, 269, 12465, 4485, 7048, 593, 10763, 2553, 267, 799, 666, 581, 2352, 547, 4019, 547, 2935, 1229, 610, 12150, 1949, 269, 10724, 1565, 3631, 267, 2705, 267, 666, 1451, 3270, 538, 1239, 1510, 8763, 5528, 267, 1818, 873, 4998, 585, 7114, 11029, 2242, 538, 1062, 2623, 780, 5194, 1858, 1141, 3684, 1565, 2982, 9153, 568, 538, 519, 11191, 540, 32094, 3157, 269, 22757, 30408, 13502, 267, 799, 4125, 10451, 4351, 5439, 547, 16977, 3435, 267, 723, 1279, 1044, 606, 1898, 1907, 538, 519, 1353, 540, 4351, 3157, 269, 1717, 267, 789, 666, 581, 1939, 14260, 7199, 543, 942, 21791, 269, 10724, 1565, 6620, 666, 948, 7753, 891, 7687, 676, 17306, 10386, 2994, 543, 4227, 6846, 538, 20533, 1239, 780, 8601, 922, 1761, 267, 972, 616, 1869, 2591, 538, 7311, 3684, 1565, 547, 519, 1353, 540, 4351, 3157, 593, 11708, 543, 22092, 1182, 269, 2290, 2101, 3390, 568, 519, 3668, 540, 13042, 2866, 1239, 267, 799, 2306, 24892, 1565, 2352, 269, 12824, 616, 3695, 2081, 547, 5352, 10991, 1239, 610, 1020, 5667, 10967, 14876, 1565, 2553, 547, 2232, 713, 4161, 780, 21809, 6750, 8212, 543, 17438, 7869, 454, 14343, 7042, 4263, 519, 2295, 540, 519, 1353, 540, 4351, 3157, 593, 11708, 543, 22092, 1182, 6013, 8579, 6323, 543, 5506, 3069, 269, 1452, 6310, 10850, 1683, 519, 2645, 2556, 547, 1174, 543, 3589, 519, 2623, 540, 1950, 1949, 780, 13146, 8441, 538, 5506, 3069, 723, 3366, 547, 1007, 4030, 883, 519, 3601, 540, 4351, 11708, 543, 5121, 269, 9828, 971, 607, 3113, 7182, 267, 5385, 762, 4351, 11708, 267, 543, 4839, 4221, 3157, 723, 8774, 1769, 593, 519, 7293, 4162, 540, 891, 1949, 267, 13031, 5892, 7164, 18440, 4031, 543, 5203, 1275, 5049, 780, 19602, 267, 7835, 538, 8579, 11707, 723, 3177, 1007, 5380, 593, 8106, 2042, 971, 607, 519, 1772, 532, 2203, 543, 829, 3712, 566, 3069, 269, 10613, 971, 607, 556, 7538, 1436, 1895, 3069, 267, 14883, 531, 2361, 3069, 267, 543, 519, 13570, 1505, 723, 4847, 3173, 547, 10994, 2055, 2899, 2808, 703, 847, 762, 267, 3056, 547, 23484, 538, 938, 1620, 540, 2565, 9259, 543, 5123, 13289, 780, 4913, 267, 5103, 891, 7760, 267, 972, 2611, 1930, 2055, 543, 5667, 9407, 2042, 538, 1312, 5506, 3069, 543, 8579, 6323, 269, 2290, 8037, 1383, 568, 519, 918, 303, 313, 3830, 267, 799, 6257, 519, 2208, 540, 17103, 538, 1585, 2168, 1949, 269, 6736, 5756, 540, 4674, 267, 513, 2347, 3070, 547, 519, 918, 303, 313, 3830, 3788, 21792, 267, 543, 3356, 538, 713, 1858, 1131, 2693, 723, 2484, 23568, 4539, 585, 519, 1353, 540, 4351, 3157, 593, 11708, 543, 22092, 1182, 780, 6962, 454, 29603, 763, 1353, 540, 4351, 3157, 593, 11708, 543, 22092, 1182, 568, 513, 3638, 543, 3309, 2361, 267, 609, 4296, 547, 10459, 8151, 689, 2780, 2257, 547, 7350, 269, 1306, 649, 1413, 4724, 519, 2104, 267, 621, 568, 2312, 602, 972, 616, 1082, 3078, 3255, 585, 2417, 1382, 543, 1646, 269, 6787, 621, 581, 998, 8901, 3060, 2079, 267, 3684, 1565, 267, 610, 2757, 7811, 4485, 267, 519, 4947, 1296, 14767, 547, 3142, 1007, 8906, 543, 4030, 883, 519, 2470, 540, 6988, 543, 4351, 1145, 780, 2005, 568, 4502, 15663, 267, 2705, 267, 602, 609, 1022, 3621, 20089, 2501, 5539, 269, 1306, 3173, 267, 649, 1590, 11441, 547, 2327, 602, 938, 960, 5713, 711, 1152, 547, 4434, 938, 1378, 4690, 855, 849, 547, 4324, 2486, 693, 1804, 269, 901, 1797, 1373, 13533, 540, 519, 5683, 6286, 540, 938, 1382, 543, 2324, 547, 5968, 938, 4681, 5693, 543, 8308, 547, 519, 6626, 1857, 780, 4415, 713, 538, 2247, 267, 649, 5000, 782, 945, 1224, 713, 1837, 547, 6443, 721, 538, 519, 13287, 540, 1702, 543, 1620, 269, 8625, 267, 1577, 721, 3136, 547, 2263, 519, 4241, 1158, 540, 4351, 3157, 593, 11708, 543, 22092, 1182, 267, 5275, 4267, 547, 4909, 2055, 827, 519, 2470, 540, 4641, 3294, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 305, 24655, 22948, 593, 28977, 543, 700, 3430, 1182, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 15932, 15211, 2580, 834, 274, 269, 15379, 5121, 543, 8928, 2580, 834, 275, 269, 31538, 17364, 4054, 2580, 834, 276, 269, 623, 2075, 15684, 543, 1582, 268, 28300, 532, 15211, 2580, 834, 277, 269, 13555, 1184, 267, 28056, 2203, 267, 543, 519, 17181, 1184, 2580, 834, 278, 269, 1772, 532, 267, 8000, 1206, 267, 543, 15932, 4211, 331, 13831, 2203, 2580, 834, 279, 269, 15932, 11708, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 280, 269, 10390, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 280, 269, 272, 269, 12834, 540, 519, 1576, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 280, 269, 273, 269, 8892, 8846, 538, 519, 1353, 540, 4351, 3157, 593, 11708, 543, 22092, 1182, 1701, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12722, 6807, 8419, 267, 519, 2136, 2276, 13108, 779, 13108, 22947, 23227, 566, 12243, 1500, 922, 1101, 1857, 5920, 693, 519, 18513, 19633, 779, 11428, 16008, 269, 589, 8184, 540, 1614, 1769, 2989, 717, 5300, 2006, 674, 277, 293, 268, 276, 18774, 13906, 25881, 267, 3366, 676, 20229, 2987, 16644, 1618, 31924, 2155, 6387, 20858, 3057, 4802, 966, 528, 529, 267, 24363, 513, 19939, 8792, 7098, 984, 1738, 2773, 563, 763, 2319, 1185, 1044, 4646, 585, 519, 3483, 540, 9870, 1857, 2797, 1489, 585, 519, 13108, 269, 4256, 25881, 941, 13556, 2949, 17953, 344, 4262, 4544, 609, 968, 308, 2529, 269, 715, 16787, 312, 892, 593, 519, 8034, 1088, 720, 538, 4154, 6978, 269, 589, 2582, 1003, 1968, 267, 849, 4154, 6978, 267, 593, 519, 7299, 1710, 4857, 1142, 1367, 20987, 563, 26668, 4374, 2663, 267, 476, 2641, 5147, 267, 519, 2319, 1131, 1101, 1289, 2933, 634, 9791, 4911, 1564, 563, 1103, 1840, 547, 31924, 2155, 6387, 966, 528, 529, 267, 824, 21804, 538, 519, 3312, 17431, 2319, 941, 31924, 2155, 6387, 32008, 717, 269, 4446, 333, 731, 267, 31924, 9253, 9109, 18706, 573, 344, 267, 31924, 21238, 570, 611, 1372, 334, 267, 31924, 24381, 823, 715, 269, 654, 1157, 754, 3326, 543, 31924, 630, 329, 3052, 4700, 717, 1446, 853, 1787, 563, 763, 717, 5300, 2006, 674, 277, 293, 268, 276, 18774, 13906, 568, 2582, 268, 2897, 267, 2582, 268, 19956, 25142, 2966, 2038, 538, 2622, 2782, 4083, 547, 7500, 689, 519, 772, 2529, 269, 13108, 779, 8484, 19057, 269, 898, 568, 513, 1970, 13617, 1395, 6955, 2033, 540, 782, 4496, 4070, 269, 634, 12209, 666, 581, 25649, 1996, 519, 5011, 540, 519, 8034, 1088, 720, 585, 4859, 20829, 519, 19057, 269, 8092, 532, 10591, 568, 6671, 267, 1427, 847, 762, 267, 543, 2882, 606, 10654, 532, 13622, 269, 634, 18774, 13906, 2968, 10512, 538, 476, 3707, 275, 563, 763, 674, 277, 293, 268, 276, 568, 476, 3451, 3952, 267, 476, 278, 6279, 630, 1015, 269, 26951, 7397, 264, 1279, 609, 513, 12209, 3966, 540, 476, 5655, 267, 3952, 476, 1015, 6279, 630, 1321, 269, 279, 5655, 7397, 264, 543, 2949, 4463, 540, 476, 1691, 3952, 267, 476, 276, 6279, 630, 275, 269, 4375, 275, 7397, 1040, 898, 814, 606, 8900, 2597, 540, 476, 280, 267, 24487, 6550, 630, 275, 267, 5002, 13532, 264, 543, 5021, 1491, 4752, 2597, 540, 476, 1428, 267, 4968, 6550, 630, 277, 267, 280, 2412, 13532, 1916, 763, 674, 277, 293, 268, 276, 18774, 13906, 568, 13324, 676, 513, 476, 273, 267, 3199, 275, 269, 275, 2275, 889, 545, 20878, 16162, 10293, 630, 3393, 269, 4817, 277, 2148, 264, 2011, 2275, 944, 539, 267, 2706, 12737, 539, 267, 2398, 3430, 1299, 18724, 2284, 17677, 654, 5684, 9399, 289, 273, 8566, 630, 305, 268, 18231, 271, 268, 1015, 310, 264, 18618, 268, 992, 476, 1240, 268, 1097, 331, 5407, 24293, 2599, 609, 1216, 13297, 269, 634, 2599, 1185, 609, 513, 13496, 5223, 540, 476, 277, 269, 4792, 281, 272, 543, 729, 15951, 693, 476, 272, 267, 20862, 7504, 12741, 693, 476, 273, 267, 20862, 678, 4877, 6230, 269, 693, 476, 2641, 267, 4335, 3952, 630, 277, 267, 4649, 274, 7397, 1070, 543, 476, 273, 267, 1822, 7504, 12741, 693, 476, 273, 267, 10384, 678, 4877, 6230, 269, 585, 1491, 4752, 269, 634, 2599, 22755, 513, 1614, 15918, 12184, 16803, 9208, 10281, 668, 1738, 3586, 18286, 4412, 11839, 609, 513, 8006, 540, 476, 1724, 3952, 267, 476, 272, 10759, 630, 274, 269, 280, 6434, 7397, 264, 998, 513, 476, 273, 281, 272, 10591, 5786, 269, 634, 681, 268, 18231, 271, 268, 1015, 729, 476, 275, 3952, 267, 476, 275, 269, 2004, 6279, 630, 272, 269, 31172, 7397, 264, 538, 8006, 267, 476, 278, 3952, 267, 476, 275, 269, 5325, 6279, 630, 273, 269, 26316, 7397, 264, 1279, 267, 543, 26693, 476, 273, 267, 21878, 6550, 630, 272, 267, 10219, 13532, 1070, 1142, 563, 763, 674, 277, 293, 268, 276, 1185, 513, 5021, 3432, 540, 476, 28510, 25418, 630, 28760, 5195, 829, 5662, 270, 276, 1556, 12919, 829, 5662, 264, 693, 7256, 5426, 543, 476, 20065, 25418, 630, 23884, 5195, 829, 5662, 270, 277, 1556, 12919, 829, 5662, 264, 693, 476, 2537, 267, 6110, 3952, 630, 278, 267, 15171, 7397, 1040, 634, 18774, 13906, 779, 3028, 18109, 729, 476, 3374, 267, 1911, 3952, 630, 1015, 269, 277, 7176, 7397, 264, 543, 621, 1185, 513, 8396, 8953, 540, 476, 279, 736, 562, 27658, 5195, 630, 280, 4510, 5195, 270, 272, 267, 31982, 12919, 1040, 634, 5021, 7542, 787, 2039, 568, 476, 272, 267, 20065, 562, 27658, 5195, 630, 272, 267, 276, 4029, 5195, 270, 273, 267, 5379, 274, 12919, 1916, 763, 18774, 13906, 779, 6186, 3512, 15538, 540, 3670, 645, 20621, 4888, 5336, 273, 1547, 2004, 23343, 9200, 3684, 15963, 267, 15841, 1614, 538, 1142, 13617, 267, 609, 476, 6110, 21448, 540, 993, 32099, 829, 7784, 563, 27001, 476, 3707, 273, 543, 476, 3707, 276, 267, 519, 717, 5300, 2006, 589, 7878, 7177, 15278, 267, 21861, 2457, 267, 1715, 3840, 267, 3710, 476, 1321, 267, 22550, 674, 277, 293, 18774, 322, 1846, 269, 901, 729, 519, 4102, 1297, 540, 1022, 8484, 1826, 3812, 676, 513, 2582, 2030, 563, 274, 4873, 476, 3707, 273, 281, 2311, 21554, 267, 8938, 26690, 772, 2529, 269, 13108, 623, 289, 312, 268, 276, 288, 18280, 2088, 29862, 17177, 1499, 9250, 689, 11068, 3118, 6816, 547, 3406, 585, 513, 5545, 18239, 799, 729, 4397, 547, 581, 16144, 4724, 519, 1977, 6532, 3490, 269, 2290, 540, 873, 267, 476, 4510, 6261, 268, 275, 267, 630, 31807, 269, 3143, 269, 476, 24699, 4029, 264, 26017, 676, 3416, 793, 4035, 749, 15053, 517, 12462, 31568, 14615, 1234, 573, 540, 4793, 1503, 8293, 611, 1258, 476, 4510, 630, 29262, 268, 4510, 1070, 8289, 539, 31288, 14780, 714, 334, 18000, 10440, 779, 11068, 3118, 20431, 566, 10414, 267, 476, 10384, 562, 27658, 5195, 630, 272, 267, 30640, 12919, 264, 7178, 540, 519, 693, 3326, 267, 16172, 1354, 476, 280, 281, 876, 513, 6230, 563, 763, 18280, 2088, 1085, 719, 539, 519, 10546, 4305, 3196, 267, 799, 789, 5156, 547, 581, 519, 968, 10852, 1560, 892, 540, 519, 5545, 18239, 543, 5925, 539, 1344, 1394, 547, 741, 3490, 269, 634, 4305, 3196, 15538, 540, 476, 272, 1769, 2267, 16014, 267, 476, 1321, 3560, 338, 8876, 476, 276, 267, 1822, 7980, 267, 476, 1556, 6861, 619, 267, 476, 273, 4262, 30350, 4043, 619, 267, 476, 272, 18239, 3282, 518, 543, 476, 275, 29862, 16996, 563, 763, 3117, 13521, 730, 623, 289, 312, 18280, 2088, 1500, 922, 1101, 8184, 593, 476, 2764, 4728, 476, 4350, 276, 267, 609, 8783, 1449, 12681, 5261, 645, 269, 5453, 520, 2917, 538, 4971, 269, 898, 729, 513, 18618, 268, 19956, 10760, 10935, 3812, 689, 476, 4350, 277, 547, 476, 3707, 276, 269, 898, 729, 8246, 5097, 607, 606, 4550, 6879, 6235, 543, 4550, 28175, 3405, 710, 29862, 17177, 828, 543, 585, 3406, 543, 15063, 4238, 563, 763, 623, 289, 312, 268, 276, 288, 729, 606, 19917, 1190, 14583, 9280, 609, 1427, 847, 762, 28886, 19564, 13941, 10591, 269, 898, 729, 476, 8287, 3952, 267, 476, 1015, 268, 278, 270, 1626, 6279, 1279, 630, 866, 269, 5379, 279, 7397, 264, 609, 513, 13617, 12732, 540, 476, 10441, 3952, 267, 476, 271, 6279, 630, 4029, 269, 277, 4200, 7397, 264, 543, 2949, 4463, 540, 476, 736, 3952, 267, 476, 273, 6279, 630, 277, 269, 15704, 7397, 1040, 634, 8934, 565, 13617, 729, 15841, 1657, 519, 8034, 1088, 720, 593, 513, 29765, 533, 14125, 543, 6462, 676, 2185, 5007, 25329, 269, 634, 13617, 814, 476, 277, 4113, 11841, 543, 519, 4099, 3296, 814, 1100, 1019, 14366, 610, 30908, 269, 634, 9018, 13617, 8440, 616, 7148, 1229, 269, 1703, 616, 1100, 1166, 2355, 269, 634, 2698, 13617, 1858, 568, 476, 272, 267, 6110, 4009, 3952, 630, 9873, 4009, 7397, 1040, 634, 623, 289, 312, 268, 276, 288, 1185, 606, 8900, 2597, 540, 476, 736, 267, 280, 1015, 6550, 630, 280, 267, 4366, 276, 13532, 1070, 543, 14407, 2597, 538, 29862, 12122, 540, 476, 3451, 267, 280, 4037, 6550, 630, 1428, 267, 30329, 13532, 1040, 4706, 5021, 1491, 4752, 2597, 630, 1633, 264, 729, 476, 3374, 267, 22213, 6550, 630, 1626, 267, 271, 5780, 13532, 1916, 763, 623, 289, 312, 268, 276, 288, 729, 13324, 676, 1079, 2011, 2275, 944, 539, 267, 2706, 12737, 539, 267, 476, 272, 267, 279, 3066, 269, 275, 2275, 889, 545, 20878, 16162, 10293, 630, 3066, 269, 7818, 2148, 264, 2398, 3430, 1299, 18724, 2284, 3828, 514, 654, 5684, 590, 272, 290, 274, 8566, 630, 305, 268, 8146, 271, 268, 10844, 264, 1079, 268, 992, 476, 1691, 268, 1097, 331, 5407, 24293, 9817, 269, 1452, 941, 15951, 693, 476, 272, 267, 1220, 7504, 12741, 693, 476, 273, 267, 10384, 678, 4877, 6230, 269, 693, 7256, 5426, 585, 1491, 4752, 269, 634, 5021, 6024, 12773, 585, 3339, 5106, 729, 476, 272, 267, 271, 2568, 7504, 12741, 693, 476, 273, 267, 20862, 678, 4877, 332, 1421, 909, 547, 476, 278, 267, 4335, 3952, 630, 273, 267, 30525, 7397, 1040, 634, 9817, 22755, 1614, 15918, 12184, 16803, 9208, 4175, 762, 1790, 3558, 4412, 25527, 609, 513, 476, 1321, 3723, 267, 476, 272, 10759, 630, 274, 269, 6924, 274, 11281, 264, 8006, 998, 513, 476, 1626, 281, 280, 10591, 5786, 269, 634, 681, 268, 8146, 271, 268, 10844, 568, 476, 4366, 269, 866, 6279, 630, 272, 269, 23470, 7397, 264, 1279, 267, 476, 8618, 269, 6858, 6279, 630, 272, 269, 276, 5780, 7397, 264, 538, 8006, 267, 543, 22179, 476, 272, 267, 275, 4792, 6550, 630, 277, 4792, 13532, 1916, 763, 623, 289, 312, 268, 276, 288, 18280, 2088, 1185, 513, 23593, 3432, 540, 476, 14862, 5195, 829, 5662, 630, 1220, 12919, 829, 5662, 1040, 4706, 5021, 3432, 729, 476, 15433, 5195, 829, 5662, 630, 26604, 12919, 829, 5662, 264, 693, 7256, 5426, 543, 476, 9692, 5195, 829, 5662, 630, 25971, 12919, 829, 5662, 264, 693, 476, 278, 267, 1822, 3952, 630, 273, 267, 16328, 7397, 1040, 634, 3028, 18109, 729, 476, 1691, 267, 10384, 3952, 630, 275, 267, 4366, 272, 7397, 264, 543, 5021, 2039, 729, 476, 273, 267, 276, 3393, 5195, 630, 275, 269, 6021, 277, 12919, 264, 693, 476, 14056, 5195, 829, 5662, 630, 6642, 12919, 829, 5662, 28593, 763, 29862, 17177, 828, 1223, 4163, 476, 275, 267, 1822, 6550, 630, 272, 267, 279, 1691, 13532, 264, 540, 23038, 610, 3178, 10997, 267, 610, 1079, 8731, 6244, 3996, 593, 2182, 9557, 896, 922, 13617, 269, 5565, 645, 20621, 631, 273, 1547, 1789, 23343, 9200, 2011, 2275, 944, 539, 3684, 15963, 941, 15841, 538, 513, 9224, 2881, 4958, 609, 476, 273, 267, 1911, 21448, 540, 993, 32099, 269, 589, 3791, 1547, 1789, 23343, 9200, 3684, 7784, 729, 17479, 538, 513, 5887, 1537, 24011, 609, 476, 4335, 21448, 540, 993, 32099, 269, 5565, 645, 20621, 4888, 5336, 273, 1547, 2004, 23343, 9200, 5230, 3684, 15963, 941, 15841, 538, 519, 22765, 609, 476, 276, 4281, 21448, 540, 993, 32099, 829, 7784, 563, 274, 267, 25134, 3117, 13521, 730, 623, 289, 312, 18280, 2088, 779, 941, 3710, 267, 540, 799, 476, 26764, 941, 519, 623, 289, 312, 268, 276, 288, 14583, 269, 769, 1840, 547, 2136, 2276, 3028, 267, 1082, 824, 2477, 13234, 519, 18280, 2088, 1282, 543, 1310, 2622, 2782, 4083, 269, 634, 2063, 623, 289, 312, 538, 772, 2529, 269, 3028, 729, 513, 623, 289, 312, 268, 277, 288, 799, 729, 19622, 476, 274, 5130, 476, 4198, 278, 563, 1789, 2904, 476, 3707, 273, 281, 634, 645, 27739, 645, 268, 1704, 293, 674, 2391, 10783, 816, 2306, 922, 1101, 8184, 269, 645, 268, 1704, 293, 268, 272, 5174, 302, 476, 6078, 268, 25838, 2412, 729, 519, 1101, 540, 513, 1007, 3126, 540, 519, 4583, 2622, 2782, 4083, 17177, 828, 269, 2755, 11617, 2147, 547, 519, 645, 268, 1704, 292, 267, 621, 1185, 811, 982, 476, 6110, 9283, 1759, 593, 2038, 29053, 1995, 609, 519, 645, 268, 1704, 291, 543, 645, 268, 1704, 292, 563, 763, 645, 27739, 645, 268, 1704, 293, 674, 2391, 10783, 816, 729, 513, 2185, 268, 19956, 5230, 17177, 828, 13234, 676, 513, 8184, 12284, 540, 4557, 269, 898, 729, 476, 10619, 3952, 267, 476, 279, 269, 3445, 6279, 630, 2420, 269, 4281, 272, 7397, 264, 1279, 609, 513, 12209, 3966, 540, 476, 9818, 3952, 267, 476, 280, 269, 23841, 6279, 630, 4029 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 17092, 16800, 1070, 1883, 815, 25754, 1535, 281, 703, 3287, 314, 271, 25818, 9258, 476, 815, 6936, 3418, 825, 1250, 12803, 815, 1930, 2891, 22117, 518, 4580, 17902, 2580, 834, 342, 14744, 825, 1535, 815, 476, 271, 1477, 825, 1247, 1535, 2999, 3259, 6769, 1038, 586, 815, 834, 834, 269, 21860, 22829, 9285, 20572, 29573, 1038, 1820, 12169, 267, 3758, 815, 1250, 12803, 3418, 1038, 1535, 6834, 476, 272, 1477, 825, 1250, 12803, 25379, 14052, 825, 5426, 318, 10574, 31476, 3698, 5426, 318, 10574, 28399, 825, 2518, 5890, 1477, 825, 2518, 7665, 22091, 1477, 825, 2518, 5426, 1477, 825, 2518, 5426, 22479, 1477, 825, 5426, 22479, 815, 476, 1015, 1477, 825, 5426, 815, 1193, 263, 25583, 3418, 825, 952, 5426, 2652, 834, 271, 257, 6769, 1038, 7665, 22091, 815, 476, 1015, 1477, 825, 8640, 5426, 2652, 834, 272, 257, 6769, 1038, 7665, 22091, 815, 476, 1839, 1477, 825, 8640, 5426, 2652, 834, 273, 257, 6769, 1038, 7665, 22091, 815, 476, 2004, 1477, 825, 8640, 5426, 2652, 834, 274, 257, 6769, 1038, 7665, 22091, 815, 476, 4037, 1477, 825, 8640, 5426, 2652, 834, 275, 257, 6769, 1038, 7665, 22091, 815, 476, 1911, 1477, 825, 8640, 5426, 2652, 834, 276, 257, 6769, 1038, 7665, 22091, 815, 476, 5611, 1477, 825, 8640, 5426, 2652, 834, 277, 257, 6769, 1038, 7665, 22091, 815, 476, 1220, 1477, 825, 8640, 5426, 2652, 834, 278, 257, 6769, 1038, 7665, 22091, 815, 476, 7742, 1477, 825, 8640, 5426, 2652, 834, 279, 257, 6769, 1038, 7665, 22091, 815, 476, 4968, 1477, 825, 8640, 5426, 2652, 834, 280, 257, 6769, 1038, 7665, 22091, 815, 476, 6110, 1477, 825, 8640, 5426, 2652, 834, 1015, 257, 6769, 1038, 7665, 22091, 815, 476, 4335, 1477, 825, 8640, 5426, 2652, 834, 16655, 257, 6769, 1038, 7665, 22091, 815, 834, 16655, 29177, 825, 3116, 6769, 1038, 1820, 2891, 13286, 267, 681, 4479, 532, 14744, 1038, 5426, 318, 10574, 14052, 825, 6301, 318, 29878, 31476, 3698, 6301, 318, 29878, 28399, 825, 2518, 5426, 1477, 825, 2518, 5890, 1477, 825, 2518, 7665, 22091, 1477, 825, 2518, 7108, 1477, 825, 7665, 22091, 18360, 815, 1193, 263, 16655, 22091, 3418, 825, 1820, 2891, 8702, 547, 519, 1292, 13398, 3593, 10590, 3418, 825, 1820, 2891, 1805, 1846, 281, 14744, 825, 1820, 2891, 25583, 24333, 25583, 3418, 825, 952, 5426, 11203, 834, 16655, 257, 6769, 1038, 1820, 2891, 22091, 24333, 22091, 266, 257, 270, 257, 266, 16655, 22091, 18360, 3418, 825, 3116, 6769, 1038, 1820, 2891, 22091, 281, 7665, 14744, 825, 1820, 2891, 20112, 24333, 20112, 3418, 825, 1820, 2891, 14483, 570, 3696, 12232, 14744, 825, 1820, 2891, 268, 11545, 12694, 14744, 825, 1820, 2891, 268, 26064, 4580, 14744, 825, 1820, 2891, 268, 10632, 14744, 825, 1820, 2891, 268, 19255, 14744, 825, 1820, 2891, 268, 1401, 527, 14744, 825, 5775, 815, 3403, 2891, 14744, 825, 5775, 815, 5775, 31573, 14052, 825, 952, 5775, 2652, 834, 323, 2905, 2591, 257, 6769, 1038, 1820, 2891, 306, 2056, 596, 547, 519, 3232, 2591, 1631, 14744, 1038, 11545, 318, 29936, 14052, 825, 8640, 5775, 2652, 834, 548, 14575, 4580, 257, 6769, 1038, 1820, 2891, 306, 2056, 596, 547, 519, 6205, 4580, 3296, 1631, 14744, 1038, 26064, 4580, 14052, 825, 8640, 5775, 2652, 834, 31521, 257, 6769, 1038, 1820, 2891, 306, 2056, 596, 547, 519, 3756, 3296, 1631, 14744, 1038, 10632, 14052, 825, 8640, 5775, 2652, 834, 3333, 641, 257, 6769, 1038, 1820, 2891, 306, 2056, 596, 547, 519, 6300, 1631, 14744, 1038, 19255, 14052, 825, 8640, 5775, 2652, 834, 1410, 527, 257, 6769, 1038, 1820, 2891, 14294, 532, 856, 1631, 267, 1434, 25742, 14744, 1038, 16718, 31476, 3698, 11545, 318, 29936, 28399, 825, 1104, 942, 1477, 825, 2518, 14871, 1477, 825, 952, 14871, 2652, 834, 3849, 2381, 257, 6769, 1038, 16710, 815, 3403, 2891, 5649, 267, 3503, 610, 19268, 286, 834, 3418, 1038, 16710, 815, 16710, 31573, 14052, 1038, 952, 16710, 2652, 834, 1348, 257, 6769, 2018, 1250, 12803, 815, 1930, 2891, 29936, 17902, 14824, 337, 14744, 2018, 782, 318, 6050, 815, 1250, 12803, 18667, 6050, 14052, 2018, 7420, 272, 815, 782, 318, 6050, 314, 271, 15947, 2018, 7420, 273, 815, 782, 318, 6050, 314, 272, 15947, 2018, 7420, 274, 815, 782, 318, 6050, 314, 273, 15947, 2018, 1250, 12803, 25379, 1477, 2018, 7420, 272, 815, 7420, 272, 14714, 8692, 14052, 2018, 7420, 273, 815, 7420, 273, 14714, 8692, 14052, 2018, 7420, 274, 815, 7420, 274, 14714, 8692, 14052, 2018, 1820, 263, 20806, 3188, 272, 3418, 2018, 1820, 263, 20806, 3188, 273, 3418, 2018, 1820, 263, 20806, 3188, 274, 3418, 2018, 942, 4732, 2748, 263, 276, 3418, 2018, 1247, 14840, 2652, 476, 271, 6769, 3546, 18452, 815, 3403, 2891, 3269, 25898, 596, 899, 547, 979, 1394, 547, 519, 834, 29878, 257, 610, 834, 14294, 4934, 257, 5727, 3418, 3546, 18452, 815, 18452, 31573, 14052, 3546, 952, 18452, 2652, 834, 327, 889, 257, 6769, 7386, 14840, 815, 476, 272, 1477, 3546, 8640, 18452, 2652, 834, 338, 793, 856, 257, 6769, 7386, 14840, 815, 476, 272, 1477, 3546, 3116, 6769, 7386, 1820, 2891, 4462, 4385, 18452, 267, 2119, 1586, 14744, 2018, 952, 18452, 2652, 834, 327, 889, 257, 6769, 3546, 1820, 2891, 14744, 3546, 6301, 318, 29878, 14052, 2018, 8640, 18452, 2652, 834, 338, 793, 856, 257, 6769, 3546, 16718, 14052, 1038, 8640, 16710, 2652, 834, 31095, 257, 6769, 2018, 14840, 815, 476, 271, 1477, 2018, 1250, 12803, 815, 1930, 2891, 291, 2905, 318, 29936, 17902, 14824, 320, 266, 14744, 2018, 1247, 14840, 2652, 476, 271, 6769, 3546, 18452, 815, 3403, 2891, 1432, 7420, 1131, 596, 899, 547, 1039, 286, 834, 3418, 3546, 1820, 263, 19152, 267, 3758, 815, 1250, 12803, 3418, 3546, 6744, 815, 3403, 2891, 30524, 596, 899, 547, 1039, 1776, 4161, 286, 834, 3418, 3546, 6744, 815, 2638, 31573, 14052, 3546, 952, 6744, 2652, 834, 13433, 257, 6769, 7386, 1820, 2891, 302, 10798, 14744, 3546, 8640, 6744, 2652, 834, 7224, 257, 6769, 7386, 1820, 2891, 302, 10798, 645, 1601, 14744, 7386, 14840, 815, 476, 272, 1477, 3546, 3116, 6769, 7386, 1820, 2891, 4462, 4385, 18452, 267, 5225, 2119, 1586, 14744, 1038, 8640, 16710, 2652, 834, 637, 564, 257, 6769, 2018, 1104, 4351, 1477, 2018, 1295, 815, 476, 271, 1477, 2018, 3193, 815, 476, 278, 1477, 2018, 595, 272, 815, 4351, 27110, 263, 2381, 267, 10946, 3418, 2018, 595, 273, 815, 4351, 27110, 263, 2381, 267, 10946, 3418, 2018, 595, 274, 815, 4351, 27110, 263, 2381, 267, 10946, 3418, 2018, 1250, 12803, 815, 1930, 2891, 291, 2905, 318, 29936, 17902, 14824, 337, 14744, 2018, 782, 318, 6050, 815, 1250, 12803, 18667, 6050, 14052, 2018, 952, 595, 272, 2652, 476, 271, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 271, 15947, 2018, 8640, 595, 272, 2652, 476, 272, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 272, 15947, 2018, 8640, 595, 272, 2652, 476, 273, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 273, 15947, 2018, 8640, 595, 272, 2652, 476, 274, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 274, 15947, 2018, 8640, 595, 272, 2652, 476, 275, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 275, 15947, 2018, 8640, 595, 272, 2652, 476, 276, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 276, 15947, 2018, 8640, 595, 272, 2652, 476, 277, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 277, 15947, 2018, 8640, 595, 272, 2652, 476, 278, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 278, 15947, 2018, 3116, 6769, 3546, 1820, 2891, 4462, 4385, 18438, 14744, 2018, 952, 595, 273, 2652, 476, 271, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 271, 15947, 2018, 8640, 595, 273, 2652, 476, 272, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 272, 15947, 2018, 8640, 595, 273, 2652, 476, 273, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 273, 15947, 2018, 8640, 595, 273, 2652, 476, 274, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 274, 15947, 2018, 8640, 595, 273, 2652, 476, 275, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 275, 15947, 2018, 8640, 595, 273, 2652, 476, 276, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 276, 15947, 2018, 8640, 595, 273, 2652, 476, 277, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 277, 15947, 2018, 8640, 595, 273, 2652, 476, 278, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 278, 15947, 2018, 3116, 6769, 3546, 1820, 2891, 4462, 4385, 18438, 14744, 2018, 952, 595, 274, 2652, 476, 271, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 271, 15947, 2018, 8640, 595, 274, 2652, 476, 272, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 272, 15947, 2018, 8640, 595, 274, 2652, 476, 273, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 273, 15947, 2018, 8640, 595, 274, 2652, 476, 274, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 274, 15947, 2018, 8640, 595, 274, 2652, 476, 275, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 275, 15947, 2018, 8640, 595, 274, 2652, 476, 276, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 276, 15947, 2018, 8640, 595, 274, 2652, 476, 277, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 277, 15947, 2018, 8640, 595, 274, 2652, 476, 278, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 278, 15947, 2018, 3116, 6769, 3546, 1820, 2891, 4462, 4385, 18438, 14744, 2018, 1250, 12803, 25379, 1477, 2018, 7420, 272, 815, 7420, 272, 14714, 8692, 14052, 2018, 7420, 273, 815, 7420, 273, 14714, 8692, 14052, 2018, 7420, 274, 815, 7420, 274, 14714, 8692, 14052, 2018, 1250, 12803, 815, 1930, 2891, 29936, 17902, 14824, 342, 14744, 2018, 1820, 263, 20806, 3188, 272, 267, 12803, 815, 1250, 12803, 3418, 2018, 1820, 263, 20806, 3188, 273, 267, 3758, 815, 1250, 12803, 3418, 2018, 1820, 263, 20806, 3188, 274, 267, 3758, 815, 1250, 12803, 3418, 2018, 1250, 12803, 25379, 1477, 2018, 1820, 2891, 763, 1007, 2591, 616, 281, 14744, 2018, 1820, 263, 20806, 3188, 272, 3418, 2018, 1820, 263, 20806, 3188, 273, 3418, 2018, 1820, 263, 20806, 3188, 274, 10142, 825, 8640, 14871, 11203, 834, 3849, 2381, 257, 6769, 1038, 14840, 815, 476, 271, 1477, 1038, 1250, 12803, 815, 1930, 2891, 29936, 17902, 14824, 337, 14744, 1038, 782, 318, 6050, 815, 1250, 12803, 18667, 6050, 14052, 1038, 7420, 272, 815, 782, 318, 6050, 314, 271, 15947, 1038, 7420, 273, 815, 782, 318, 6050, 314, 272, 15947, 1038, 7420, 274, 815, 782, 318, 6050, 314, 273, 15947, 1038, 7420, 272, 815, 7420, 272, 14714, 8692, 14052, 1038, 7420, 273, 815, 7420, 273, 14714, 8692, 14052, 1038, 7420, 274, 815, 7420, 274, 14714, 8692, 14052, 1038, 1250, 12803, 25379, 1477, 1038, 1820, 2891, 763, 1007, 2591, 616, 281, 14744, 1038, 1820, 263, 20806, 3188, 272, 3418, 1038, 1820, 263, 20806, 3188, 273, 3418, 1038, 1820, 263, 20806, 3188, 274, 3418, 1038, 942, 4732, 2748, 263, 276, 3418, 1038, 1247, 14840, 2652, 476, 271, 6769, 2018, 18452, 815, 3403, 2891, 3269, 25898, 596, 899, 547, 979, 1394, 547, 519, 834, 29878, 257, 610, 834, 14294, 4934, 257, 5727, 3418, 2018, 18452, 815, 18452, 31573, 14052, 2018, 952, 18452, 2652, 834, 327, 889, 257, 6769, 3546, 14840, 815, 476, 272, 1477, 2018, 8640, 18452, 2652, 834, 338, 793, 856, 257, 6769, 3546, 14840, 815, 476, 272, 1477, 2018, 3116, 6769, 3546, 1820, 2891, 4462, 4385, 18452, 267, 2119, 1586, 14744, 1038, 952, 18452, 2652, 834, 327, 889, 257, 6769, 2018, 1820, 2891, 14744, 2018, 6301, 318, 29878, 14052, 1038, 8640, 18452, 2652, 834, 338, 793, 856, 257, 6769, 2018, 16718, 14052, 825, 3116, 6769, 1038, 1820, 2891, 8005, 616, 596, 286, 10590, 10142, 3698, 26064, 4580, 28399, 825, 1104, 942, 1477, 825, 1250, 12803, 815, 1930, 2891, 22117, 518, 4580, 17902, 14824, 337, 14744, 825, 782, 318, 6050, 815, 1250, 12803, 18667, 6050, 14052, 825, 1535, 815, 476, 271, 1477, 825, 1247, 1535, 2999, 7003, 263, 718, 318, 6050, 8029, 1038, 782, 318, 6050, 20572, 316, 815, 782, 318, 6050, 20572, 4940, 29328, 14052, 1038, 1820, 263, 718, 318, 6050, 20572, 29573, 1038, 1535, 23785, 476, 272, 1477, 825, 942, 4732, 2748, 263, 276, 3418, 825, 1820, 2891, 14744, 825, 31230, 815, 476, 271, 1477, 825, 1247, 31230, 2652, 476, 271, 6769, 1038, 1820, 2891, 30524, 596, 899, 547, 2807, 14744, 1038, 1820, 2891, 272, 269, 3619, 547, 519, 1292, 13398, 14744, 1038, 1820, 2891, 273, 269, 1401, 527, 14744, 1038, 18452, 815, 3403, 2891, 14744, 1038 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 23389, 10136, 538, 476, 3707, 272, 11542, 593, 519, 12939, 540, 18293, 543, 941, 2907, 8600, 547, 7001, 519, 3854, 540, 519, 8168, 5742, 267, 855, 835, 3815, 18060, 539, 538, 519, 1576, 540, 519, 2112, 267, 799, 729, 711, 3144, 883, 2272, 676, 519, 4436, 1252, 1023, 269, 13360, 525, 827, 713, 676, 519, 2278, 540, 606, 2376, 585, 519, 4436, 7160, 540, 12603, 654, 3881, 563, 30051, 9709, 547, 1439, 519, 2112, 1996, 519, 8168, 5742, 602, 3459, 593, 4873, 476, 2420, 267, 476, 3707, 272, 267, 607, 4166, 607, 2009, 267, 11339, 590, 1597, 918, 11839, 327, 4752, 269, 6736, 519, 9271, 540, 4436, 10136, 602, 4553, 538, 519, 1101, 1614, 3275, 540, 519, 2112, 267, 12670, 729, 2907, 8600, 585, 519, 7001, 540, 519, 6739, 3854, 563, 4002, 5181, 476, 4281, 267, 519, 4436, 4971, 3459, 20491, 14977, 874, 3019, 267, 519, 4305, 540, 799, 729, 547, 14710, 519, 4414, 8136, 2282, 18293, 267, 799, 1185, 11124, 1256, 3152, 9271, 2094, 519, 4098, 540, 519, 2112, 269, 1306, 851, 540, 713, 5106, 267, 519, 16586, 941, 2469, 547, 834, 19874, 519, 22449, 257, 540, 8168, 6576, 267, 607, 29962, 29731, 30686, 16199, 1457, 5206, 269, 634, 16586, 13671, 2473, 301, 9331, 311, 15523, 267, 1297, 532, 3592, 1079, 2929, 1004, 563, 22873, 6053, 267, 3388, 4682, 607, 9709, 693, 519, 4436, 22071, 267, 519, 2278, 4967, 269, 634, 4436, 10136, 7307, 547, 1711, 1896, 26925, 2282, 966, 344, 1794, 2742, 543, 21563, 13089, 267, 16199, 1457, 1185, 2907, 9709, 519, 7001, 540, 18293, 267, 855, 3388, 4957, 538, 606, 8216, 910, 519, 15489, 22856, 3459, 267, 7432, 519, 9897, 883, 791, 817, 762, 16095, 269, 26653, 519, 9587, 267, 3079, 540, 678, 5241, 547, 519, 6739, 3854, 267, 3893, 12758, 593, 519, 1055, 268, 5802, 267, 519, 15493, 8593, 3297, 267, 519, 18086, 11074, 563, 13295, 267, 918, 11839, 327, 4752, 568, 2386, 602, 519, 22856, 796, 27665, 539, 585, 676, 519, 4436, 4971, 1705, 711, 1450, 519, 16586, 547, 3136, 741, 4323, 593, 18293, 543, 7001, 519, 6739, 3854, 269, 2311, 519, 1482, 942, 267, 519, 28592, 3576, 2407, 5413, 540, 519, 1365, 924, 543, 2322, 741, 4559, 538, 1931, 267, 8600, 547, 1065, 601, 519, 4436, 18086, 269, 634, 4365, 3815, 5129, 513, 23801, 1909, 538, 519, 6370, 540, 18293, 267, 646, 18304, 909, 269, 0, 763, 8666, 568, 3879, 13577, 563, 2793, 15674, 729, 2813, 607, 513, 4108, 27791, 19710, 1996, 519, 8168, 5742, 269, 4653, 519, 8168, 5742, 1281, 711, 2291, 267, 855, 519, 3345, 9533, 4108, 1025, 665, 6818, 269, 1717, 267, 972, 616, 1082, 968, 321, 7491, 892, 538, 922, 6228, 563, 2690, 519, 8128, 540, 519, 2136, 2276, 540, 3013, 267, 24114, 4805, 568, 1100, 3476, 2614, 547, 13720, 6576, 269, 2311, 1459, 267, 519, 1977, 7245, 568, 3843, 547, 4228, 922, 3310, 538, 519, 1158, 543, 1305, 1996, 6576, 543, 7060, 602, 941, 711, 267, 616, 711, 543, 616, 711, 2469, 547, 581, 851, 540, 519, 3345, 9533, 4108, 1025, 665, 563, 29910, 12034, 5245, 607, 513, 834, 684, 1392, 531, 257, 3196, 602, 666, 581, 1031, 1996, 1312, 6576, 543, 3624, 269, 6736, 519, 1249, 602, 713, 2197, 568, 711, 513, 4759, 540, 24114, 267, 621, 568, 267, 5310, 267, 811, 3742, 982, 1082, 13222, 540, 519, 5018, 4108, 1025, 665, 267, 4712, 547, 957, 538, 519, 4108, 27791, 8756, 540, 519, 2136, 2276, 563, 9213, 267, 519, 2475, 8128, 616, 27410, 609, 519, 26880, 593, 519, 2009, 11865, 540, 4108, 14482, 1013, 673, 6351, 547, 12907, 267, 607, 1134, 607, 593, 519, 3761, 540, 4508, 1030, 1221, 2067, 3154, 547, 2342, 538, 519, 4126, 540, 17527, 519, 3864, 2344, 585, 6739, 14273, 540, 834, 19990, 4492, 8487, 12901, 328, 7304, 11701, 16395, 616, 25093, 609, 519, 2229, 540, 3567, 269, 634, 2475, 8128, 616, 3843, 547, 1118, 519, 8092, 540, 519, 29547, 6129, 835, 540, 1346, 945, 786, 711, 1152, 1489, 4550, 7304, 11701, 24476, 267, 855, 849, 4497, 538, 4108, 2604, 593, 938, 2197, 269, 1677, 798, 713, 267, 519, 2136, 2276, 568, 3843, 547, 6542, 1489, 547, 3567, 538, 2474, 540, 6811, 547, 519, 3162, 27956, 3796, 269, 589, 6405, 1383, 568, 519, 3510, 538, 799, 2475, 13108, 9635, 30774, 1063, 1079, 10195, 538, 519, 27956, 559, 5832, 2063, 1032, 267, 15202, 602, 789, 2015, 519, 7297, 1472, 891, 10195, 547, 581, 3486, 563, 2793, 15674, 568, 711, 2614, 585, 519, 2475, 8128, 538, 519, 30925, 609, 6576, 849, 585, 519, 2601, 602, 972, 568, 1100, 9322, 538, 519, 19710, 3294, 593, 713, 3390, 269, 589, 1297, 540, 2477, 616, 5051, 6340, 856, 585, 513, 16268, 5188, 609, 6576, 543, 585, 10205, 532, 519, 3609, 540, 30925, 609, 18293, 269, 1452, 616, 21640, 267, 23886, 807, 267, 30355, 25474, 269, 2353, 540, 891, 616, 2818, 540, 519, 3345, 9533, 19137, 269, 5125, 543, 7977, 28586, 30925, 269, 11894, 568, 3001, 1447, 543, 1447, 786, 5944, 538, 1899, 609, 6115, 781, 3609, 2509, 18293, 563, 1607, 3123, 6161, 538, 6115, 267, 543, 4061, 972, 568, 606, 3742, 3406, 585, 968, 3467, 10121, 892, 4550, 7304, 11701, 16167, 267, 1851, 799, 789, 616, 3843, 547, 4482, 711, 1152, 5245, 543, 3567, 267, 855, 849, 971, 2477, 607, 8478, 267, 18335, 267, 519, 16313, 625, 540, 519, 14655, 13323, 269, 898, 1256, 3893, 547, 519, 1448, 602, 6115, 4744, 340, 3547, 19384, 5518, 12157, 5459, 16619, 689, 5870, 609, 519, 2212, 540, 519, 6739, 18966, 269, 1772, 713, 711, 13779, 538, 519, 4835, 12602, 540, 606, 4830, 1533, 286, 0, 20118, 267, 6904, 540, 519, 1739, 568, 711, 1455, 3060, 23289, 888, 5141, 13831, 3060, 23289, 568, 513, 4686, 12136, 563, 9827, 267, 621, 568, 4280, 267, 1548, 1826, 540, 10814, 568, 1031, 538, 1034, 5121, 28866, 888, 23562, 13554, 8424, 540, 15791, 616, 519, 1034, 7928, 1106, 540, 9348, 1782, 1031, 538, 2221, 779, 5121, 269, 21145, 476, 274, 630, 290, 2969, 476, 274, 264, 796, 3333, 1752, 539, 27390, 6292, 630, 7473, 303, 264, 10814, 568, 1031, 538, 519, 5354, 540, 1007, 9348, 1782, 19698, 563, 30772, 267, 1772, 519, 3044, 10618, 7014, 1031, 593, 1034, 7817, 4882, 13996, 5121, 28866, 888, 4002, 1034, 7817, 4882, 13996, 5121, 267, 12223, 13090, 568, 519, 3044, 10618, 7014, 269, 25494, 269, 1411, 1175, 8737, 4974, 476, 3066, 2474, 2336, 9827, 267, 769, 799, 23289, 616, 782, 5904, 4448, 538, 513, 5311, 593, 513, 2582, 10814, 888, 9336, 2780, 543, 3060, 3926, 568, 5532, 547, 513, 2582, 10814, 538, 513, 1668, 23289, 3060, 563, 10144, 849, 2307, 267, 6904, 568, 711, 513, 1826, 540, 772, 9143, 10814, 888, 292, 22313, 15791, 2097, 538, 513, 3099, 540, 5546, 543, 7306, 267, 1519, 9697, 268, 272, 267, 9697, 268, 273, 267, 9697, 268, 274, 267, 9697, 268, 276, 292, 267, 9697, 268, 276, 267, 9697, 268, 277, 267, 9697, 268, 277, 288, 267, 543, 865, 593, 269, 634, 9697, 268, 278, 289, 10814, 568, 711, 606, 25494, 10814, 563, 16665, 5999, 543, 12226, 454, 1432, 616, 519, 1455, 3060, 1283, 3098, 888, 30252, 267, 1668, 267, 8258, 267, 3529, 267, 17450, 267, 543, 10316, 616, 930, 540, 519, 1034, 7928, 3029, 563, 7617, 2010, 540, 15791, 616, 1031, 538, 3060, 888, 2467, 616, 2185, 1114, 2010, 540, 3060, 9348, 1782, 269, 3213, 32681, 10814, 568, 513, 2186, 540, 10814, 602, 814, 1079, 7475, 269, 3213, 32681, 15791, 4183, 513, 2582, 7601, 18364, 538, 519, 1647, 267, 609, 513, 5068, 4494, 1063, 621, 543, 519, 2909, 3660, 4496, 3382, 3246, 13471, 269, 27438, 8838, 545, 595, 762, 568, 513, 2186, 540, 9804, 10814, 269, 5254, 303, 630, 4537, 1752, 539, 3828, 13554, 30449, 264, 595, 762, 772, 9143, 630, 308, 985, 327, 1752, 539, 3828, 13554, 30449, 264, 595, 762, 454, 1432, 1826, 540, 10814, 568, 1031, 538, 1034, 5121, 888, 7473, 303, 630, 26536, 531, 12910, 1400, 16257, 264, 10814, 454, 7617, 2186, 540, 10814, 568, 1031, 538, 2199, 1858, 3060, 888, 292, 22313, 10814, 568, 1776, 2012, 585, 713, 10814, 269, 901, 10814, 568, 1031, 538, 3592, 782, 1699, 29135, 2780, 5121, 269, 7822, 2275, 10757, 8424, 540, 1202, 4327, 7601, 12904, 1118, 909, 713, 10814, 269, 1677, 3132, 513, 6292, 267, 1169, 1079, 12904, 616, 20386, 1472, 1142, 824, 563, 7617, 835, 540, 519, 1739, 568, 519, 3044, 10618, 7014, 1031, 593, 1034, 7817, 4882, 13996, 5121, 888, 307, 9573, 270, 7709, 6763, 585, 28298, 6513, 16257, 270, 25542, 16257, 269, 634, 28298, 6513, 16257, 270, 25542, 16257, 630, 307, 9573, 270, 7709, 264, 7014, 24194, 568, 519, 2872, 3044, 585, 7817, 1606, 13996, 2792, 936, 519, 4950, 563, 7617, 540, 519, 1739, 568, 711, 513, 3044, 585, 12616, 25494, 5121, 888, 322, 269, 634, 2626, 568, 476, 26764, 269, 1556, 629, 563, 1432, 568, 519, 3044, 10618, 7014, 1031, 888, 763, 2165, 968, 20598, 2213, 10618, 7014, 892, 4016, 547, 513, 7014, 602, 814, 1044, 13798, 1881, 607, 513, 3044, 269, 31923, 267, 519, 5769, 16257, 267, 543, 519, 15214, 3667, 18734, 16257, 616, 1806, 540, 3044, 2213, 10618, 10873, 630, 12487, 9143, 1916, 1432, 616, 519, 476, 279, 3060, 1283, 3098, 888, 11592, 3562, 15304, 267, 1668, 267, 5182, 267, 8258, 610, 9764, 267, 17450, 267, 3529, 267, 10316, 267, 610, 546, 24387, 5832, 616, 519, 5216, 3119, 1283, 3098, 6594, 538, 3060, 23289, 563, 1103, 799, 23289, 616, 782, 5904, 4448, 538, 5311, 593, 513, 2582, 10814, 28866, 888, 1700, 589, 1668, 6189, 13462, 2780, 3457, 538, 513, 9266, 1931, 593, 513, 2582, 5911, 563, 1432, 616, 2780, 5121, 888, 288, 2780, 3060, 568, 513, 4015, 540, 5904, 602, 2671, 2200, 3838, 676, 3060, 9136, 269, 1677, 2170, 609, 835, 1776, 267, 519, 5904, 2308, 3044, 2792, 10873, 2066, 3059, 3095, 1137, 563, 7617, 540, 519, 1739, 568, 711, 513, 1826, 540, 10814, 888, 322, 269, 19247, 281, 24296, 327, 1752, 539, 27390, 6292, 630, 7473, 303, 1070, 1071, 32681, 267, 543, 6775, 23726, 15791, 616, 782, 2010, 540, 10814, 1031, 538, 29040, 5121, 899, 10814, 8613, 543, 15146, 5121, 269, 5221, 796, 3333, 1752, 539, 1071, 32681, 568, 711, 513, 10814, 1826, 563, 1432, 616, 519, 476, 274, 1292, 1283, 3098, 888, 763, 1668, 267, 5182, 267, 543, 8258, 616, 1614, 540, 519, 1034, 1455, 1283, 3098, 563, 1432, 616, 519, 476, 278, 1114, 2010, 540, 10814, 28339, 888, 308, 985, 327, 1752, 539, 3828, 13554, 30449, 630, 290, 762, 9012, 264, 630, 7473, 303, 264, 3828, 13554, 1744, 1752, 539, 30449, 630, 4306, 303, 264, 17266, 25042, 27438, 630, 15551, 293, 264, 11638, 5336, 1712, 27438, 630, 12613, 293, 264, 630, 15551, 293, 264, 18135, 697, 17785, 630, 4306, 264, 4427, 2675, 686, 828, 4045, 528, 630, 17092, 264, 12359, 550, 4045, 528, 21362, 1229, 10793, 476, 3393, 630, 305, 297, 3393, 264, 630, 9448, 1916, 1432, 616, 1614, 3119, 2010, 540, 15791, 1031, 547, 1628, 513, 29135, 888, 1432, 616, 519, 1614, 1114, 5686, 540, 25494, 15791, 286, 27438, 19945, 6776, 10814, 568, 513, 2186, 540, 1239, 6771, 602, 3096, 1769, 3079, 540, 5201, 269, 3213, 32681, 10814, 568, 513, 2186, 540, 10814, 269, 595, 762, 609, 27390, 8424, 563, 7617, 1826, 540, 3060, 10814, 568, 4122, 1031, 538, 22449, 5121, 543, 15146, 3549, 888, 293, 9200, 19945, 6776, 15791, 616, 1031, 14916, 676, 15146, 3549, 543, 538, 22449, 5121, 1317, 789, 666, 4163, 1360, 1804, 5666, 540, 1239, 563, 1432, 616, 519, 1079, 1292, 2533, 3177, 676, 519, 3060, 4494, 540, 519, 27427, 7379, 2203, 888, 9558, 3939, 6513, 16257, 630, 307, 9573, 264, 543, 14871, 13096, 8183, 16257, 630, 308, 7894, 264, 616, 519, 1079, 1034, 1898, 10873, 538, 519, 13255, 23771, 630, 308, 7894, 1040, 27427, 3091, 513, 4096, 762, 1239, 6771, 3070, 602, 2882, 5470, 7020, 543, 7816, 689, 4098, 547, 9096, 269, 772, 7894, 568, 513, 1970, 21057, 267, 4276, 1652, 3611, 8183, 6765, 7014, 563, 7617, 540, 519, 1739, 568, 835, 1599, 540, 513, 3060, 7014, 888, 3080, 540, 519, 3252, 540, 513, 3060, 7014, 568, 547, 546, 269, 16473, 532, 18977, 2043, 689, 17034, 513, 3758, 7746, 454, 3963, 616, 7817, 4882, 13996, 5121, 2356, 8704, 538, 4213, 888, 9743, 16226, 7817, 4882, 13996, 5121, 568, 1447, 7199, 269, 9521, 623, 273, 303, 5121, 267, 789, 798, 711, 991, 6131, 13763, 269, 1358, 2461, 811, 27249, 982, 9263, 3562, 24406, 518, 630 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6801, 2676, 4537, 718, 15280, 569, 2253, 1010, 31604, 4266, 454, 4415, 713, 3781, 781, 11240, 338, 543, 1163, 790, 519, 2165, 454, 8170, 513, 16339, 2213, 1272, 267, 5008, 9364, 538, 1250, 6089, 2676, 3528, 930, 642, 850, 585, 10623, 527, 540, 2150, 830, 569, 2669, 269, 630, 296, 269, 643, 269, 13647, 268, 14093, 994, 1103, 891, 3515, 267, 19151, 6257, 834, 16341, 12343, 257, 602, 786, 1267, 538, 834, 16341, 642, 850, 585, 10623, 527, 540, 2150, 830, 569, 2669, 1701, 2986, 1576, 267, 519, 5304, 568, 3222, 602, 891, 3515, 616, 22509, 17495, 12976, 19151, 781, 1378, 2669, 267, 607, 519, 7139, 4084, 5143, 519, 5304, 540, 519, 5182, 2275, 1484, 539, 18798, 262, 535, 919, 269, 19151, 849, 18953, 593, 2442, 11052, 602, 4386, 2429, 519, 1404, 267, 971, 607, 3781, 267, 1769, 543, 519, 6801, 563, 305, 727, 334, 3884, 1405, 519, 1152, 835, 945, 22509, 17495, 3298, 741, 798, 558, 269, 19201, 849, 814, 606, 552, 2044, 1899, 950, 1352, 1101, 12034, 19151, 912, 7883, 2307, 1010, 2012, 23102, 2252, 646, 581, 9310, 2676, 7069, 18205, 568, 899, 547, 581, 1250, 16806, 5127, 269, 630, 296, 18192, 269, 16960, 268, 13893, 994, 1607, 1899, 1223, 581, 2854, 1055, 607, 5409, 26382, 18295, 8004, 3717, 267, 855, 519, 1899, 2501, 2066, 8335, 2094, 519, 5304, 6487, 519, 1404, 781, 1439, 269, 9956, 4667, 547, 2648, 22509, 17495, 12976, 19151, 543, 19201, 781, 27757, 267, 607, 972, 616, 7899, 540, 8949, 1806, 899, 713, 1369, 519, 1404, 269, 0, 1103, 1931, 547, 7639, 2429, 24051, 322, 2867, 267, 689, 519, 8184, 602, 2164, 538, 513, 1524, 539, 7077, 782, 519, 1259, 547, 1010, 22638, 15063, 267, 20574, 9727, 1082, 2168, 7592, 543, 1915, 7592, 602, 948, 1864, 3251, 9800, 269, 2290, 540, 519, 1034, 1271, 568, 1010, 27093, 1145, 267, 10423, 689, 519, 1360, 9998, 3817, 269, 1261, 568, 593, 1010, 1378, 538, 513, 17382, 7077, 609, 513, 2582, 12681, 267, 10707, 547, 6108, 519, 4832, 609, 1010, 19033, 267, 543, 519, 12681, 3091, 547, 1397, 1864, 875, 547, 8038, 519, 7077, 281, 968, 2048, 2080, 16224, 9232, 646, 6645, 20574, 267, 2048, 1584, 707, 3946, 593, 519, 8060, 267, 707, 3952, 593, 519, 25229, 1457, 7895, 1023, 267, 543, 594, 3580, 1397, 596, 1018, 594, 1611, 10200, 9232, 2755, 20574, 11688, 527, 919, 7620, 267, 1010, 568, 811, 513, 18351, 13889, 267, 543, 1985, 3364, 267, 646, 814, 786, 5944, 968, 516, 3737, 856, 543, 1496, 339, 2586, 316, 519, 8868, 538, 513, 17945, 865, 9395, 1010, 5679, 3089, 956, 941, 3043, 1848, 715, 12883, 2285, 1259, 547, 1719, 543, 10761, 538, 519, 3068, 540, 519, 4316, 547, 8038, 519, 7077, 782, 676, 5128, 267, 2523, 1310, 519, 12681, 968, 2280, 314, 338, 316, 979, 540, 1010, 8868, 1547, 1547, 1547, 547, 1397, 20574, 646, 729, 2965, 10760, 519, 7077, 4805, 1848, 16874, 20574, 26218, 602, 27093, 6891, 267, 1010, 12918, 540, 6668, 538, 519, 19069, 1131, 723, 1044, 1360, 1989, 574, 8197, 563, 10521, 2629, 2168, 7592, 616, 1010, 26176, 2088, 543, 1010, 2702, 547, 7669, 267, 1312, 540, 799, 616, 8810, 676, 519, 1439, 540, 3184, 476, 274, 267, 950, 646, 16154, 2000, 1343, 519, 7077, 883, 519, 10720, 538, 519, 1647, 540, 24076, 267, 4229, 1010, 1259, 856, 540, 519, 7077, 267, 968, 719, 540, 519, 695, 13593, 4395, 6885, 2223, 543, 7669, 338, 1010, 1259, 547, 519, 2627, 543, 1287, 547, 519, 32132, 269, 4210, 21148, 568, 711, 8209, 513, 24080, 6026, 5578, 267, 855, 835, 1510, 799, 20574, 1131, 723, 546, 27547, 538, 519, 10720, 538, 19220, 540, 1010, 2348, 6707, 15354, 519, 7077, 269, 1656, 519, 4339, 646, 2322, 909, 547, 1205, 856, 540, 519, 7077, 607, 621, 4904, 609, 1216, 543, 6560, 547, 519, 2627, 543, 1287, 547, 13272, 18327, 1010, 2168, 4222, 543, 26176, 2088, 563, 7661, 267, 1776, 1915, 16023, 646, 859, 514, 806, 568, 1010, 9350, 267, 6394, 2212, 538, 519, 3068, 540, 1761, 8594, 543, 519, 9568, 646, 814, 11124, 269, 1261, 22393, 3217, 519, 942, 547, 1694, 1524, 538, 519, 18137, 2282, 519, 10720, 267, 8900, 1010, 22836, 267, 543, 1491, 513, 9488, 267, 2808, 11891, 540, 1018, 646, 1281, 723, 630, 18034, 538, 6476, 1312, 547, 1018, 646, 1281, 711, 723, 543, 267, 3226, 267, 547, 1018, 646, 1223, 723, 4503, 267, 4098, 609, 1010, 1272, 2567, 968, 288, 10116, 267, 1614, 546, 1307, 267, 513, 19695, 267, 543, 1079, 30779, 625, 269, 589, 9491, 1716, 841, 804, 23124, 269, 589, 3915, 24670, 609, 513, 8938, 13362, 3915, 1547, 1547, 1547, 543, 930, 9642, 4773, 540, 1957, 269, 1656, 593, 1010, 12966, 267, 11214, 1869, 972, 267, 519, 11058, 322, 2867, 1010, 3993, 1185, 2016, 1864, 1848, 4329, 267, 646, 814, 1010, 9660, 543, 10887, 267, 543, 513, 1434, 2212, 593, 1010, 17525, 267, 543, 609, 1346, 1906, 2168, 3688, 543, 1010, 2067, 7279, 543, 2631, 540, 7045, 267, 646, 2306, 621, 856, 540, 519, 6433, 9800, 269, 0, 7312, 2243, 12134, 827, 519, 25349, 4128, 585, 7292, 7130, 267, 799, 267, 1354, 16460, 267, 594, 1616, 547, 4228, 2390, 676, 23243, 873, 689, 519, 5626, 4128, 585, 7130, 269, 2755, 5626, 4128, 585, 7130, 666, 581, 20902, 543, 4294, 547, 1620, 7130, 540, 782, 5686, 543, 1996, 782, 7292, 2516, 267, 519, 25349, 4128, 585, 7130, 616, 8200, 593, 2796, 543, 1686, 267, 543, 8428, 585, 1142, 7292, 1895, 563, 20329, 1670, 4128, 585, 7130, 2097, 689, 3710, 2987, 1480, 12886, 269, 1280, 1383, 267, 3425, 4043, 547, 13498, 1004, 1369, 741, 1378, 7292, 630, 528, 824, 14386, 1895, 811, 3870, 2406, 982, 1346, 3544, 540, 741, 7292, 1895, 267, 543, 4043, 547, 2285, 1004, 1369, 741, 1378, 1895, 4776, 22460, 2126, 269, 901, 9186, 568, 1572, 519, 538, 31228, 9186, 267, 543, 568, 835, 540, 1082, 2010, 540, 12886, 602, 1291, 547, 7292, 14882, 734, 597, 16884, 267, 2942, 21520, 1759, 593, 11475, 540, 1004, 689, 824, 7292, 2516, 269, 2776, 9080, 823, 267, 538, 2490, 267, 5012, 547, 7130, 267, 519, 4776, 22460, 2126, 540, 835, 7292, 1895, 936, 1776, 269, 2755, 14882, 568, 513, 2790, 1533, 267, 7130, 568, 606, 2962, 563, 4322, 5626, 4128, 12969, 543, 9192, 609, 519, 2189, 3140, 543, 25349, 6381, 540, 1142, 31345, 7292, 1895, 543, 922, 1727, 816, 832, 269, 2755, 519, 12886, 602, 1118, 909, 519, 5626, 4128, 585, 7130, 1522, 581, 1455, 2066, 782, 3425, 267, 519, 25349, 4128, 585, 7292, 7130, 8428, 1063, 267, 585, 1383, 267, 3979, 31787, 267, 5824, 657, 267, 543, 7642, 269, 769, 519, 2013, 540, 3979, 31787, 267, 585, 1383, 267, 25349, 4128, 585, 7130, 616, 5483, 676, 519, 1686, 540, 3979, 8474, 267, 13343, 18844, 4031, 267, 1362, 2861, 31195, 1063, 4057, 16543, 543, 4057, 17051, 267, 519, 2112, 593, 5061, 267, 543, 519, 7890, 11897, 12009, 1950, 269, 901, 1686, 2488, 519, 20457, 585, 7292, 7130, 602, 5170, 2221, 563, 10376, 540, 891, 2516, 685, 12583, 267, 543, 1142, 540, 519, 3140, 6381, 5018, 1657, 20519, 741, 1378, 4267, 630, 604, 711, 741, 1378, 2835, 256, 1070, 865, 594, 786, 8936, 930, 2417, 2200, 585, 596, 269, 8729, 585, 513, 1390, 2243, 256, 0, 8310, 21213, 593, 2904, 476, 278, 267, 476, 1001, 276, 267, 676, 552, 24687, 32000, 269, 6478, 4032, 281, 476, 14983, 271, 454, 763, 5339, 267, 10952, 267, 543, 3909, 3350, 1634, 607, 3690, 25728, 1581, 1143, 16204, 2426, 909, 538, 3013, 538, 519, 4571, 268, 8146, 271, 338, 267, 1282, 513, 942, 950, 519, 2197, 729, 18188, 2509, 513, 2101, 2797, 6433, 269, 3690, 25728, 1581, 1143, 568, 607, 1454, 513, 5339, 3350, 607, 621, 568, 513, 2797, 835, 267, 543, 930, 540, 519, 1883, 5716, 1765, 10387, 3205, 267, 9509, 518, 267, 774, 648, 879, 267, 543, 18724, 2006, 1765, 954, 342, 913, 6214, 883, 741, 7214, 1660, 902, 269, 1677, 3717, 540, 5198, 267, 4008, 267, 610, 1362, 1765, 1170, 1132, 799, 31721, 1472, 1379, 1894, 610, 21376, 3892, 540, 1379, 32737, 782, 540, 891, 5830, 1705, 267, 568, 513, 2797, 1847, 269, 1677, 2161, 891, 5830, 941, 968, 12221, 5644, 892, 676, 8938, 23867, 2540, 4441, 568, 711, 3833, 1318, 282, 2705, 267, 789, 941, 782, 6619, 540, 741, 942, 538, 741, 2093, 827, 19802, 543, 7862, 585, 782, 1004, 563, 22818, 519, 7887, 7941, 538, 519, 2038, 547, 4571, 333, 12078, 2540, 729, 519, 3390, 540, 8474, 269, 1323, 2804, 267, 1514, 267, 543, 2797, 3390, 267, 8474, 729, 8954, 633, 689, 519, 1360, 4098, 269, 26913, 729, 2760, 9277, 547, 2063, 269, 10104, 6754, 700, 2246, 518, 6941, 538, 1010, 4367, 547, 2038, 13524, 10601, 3332, 538, 519, 1261, 987, 16262, 1108, 540, 1977, 9085, 281, 968, 763, 5853, 619, 1185, 5631, 10924, 602, 8474, 1131, 538, 519, 1576, 540, 942, 693, 15577, 543, 602, 10553, 6868, 267, 9139, 958, 15286, 689, 1104, 532, 3606, 10437, 267, 1131, 6038, 2490, 547, 824, 267, 1863, 2959, 540, 4074, 1848, 1809, 519, 8798, 540, 519, 10412, 575, 514, 4957, 713, 1259, 540, 3206, 267, 17923, 519, 9872, 540, 8474, 543, 1818, 519, 946, 540, 10437, 547, 4584, 10412, 3810, 29988, 269, 634, 8082, 15841, 538, 3013, 607, 1896, 5480, 2665, 543, 8332, 2478, 3357, 883, 1373, 281, 519, 16713, 3281, 668, 1047, 538, 476, 9264, 271, 267, 799, 19275, 8474, 538, 519, 1007, 11182, 282, 519, 674, 1872, 1438, 32013, 4521, 538, 476, 6977, 271, 267, 799, 1500, 621, 3656, 585, 10553, 3032, 7129, 547, 2097, 547, 519, 3345, 547, 29379, 23012, 10437, 282, 543, 519, 667, 1042, 8845, 3375, 538, 476, 6977, 278, 267, 799, 4371, 602, 3979, 4892, 941, 711, 4961, 540, 519, 2136, 2276, 543, 602, 10553, 3835, 532, 1223, 711, 581, 16934, 689, 1022, 1533, 610, 8513, 269, 2311, 519, 1482, 942, 972, 941, 10553, 15148, 1206, 3366, 676, 14844, 25306, 630, 8146, 272, 264, 543, 3627, 9466, 630, 6977, 280, 1070, 607, 1134, 607, 513, 5458, 20552, 626, 3060, 540, 5830, 267, 15628, 267, 543, 26789, 21805, 26423, 269, 26913, 729, 593, 519, 8186, 540, 4892, 267, 543, 519, 5830, 540, 519, 1554, 941, 6157, 711, 23614, 563, 3383, 1946, 267, 1287, 267, 1131, 513, 1507, 267, 3810, 13473, 543, 12666, 1895, 540, 1715, 4789, 5830, 267, 15806, 267, 543, 26110, 3442, 547, 2490, 547, 2470, 538, 713, 942, 540, 31587, 6433, 286, 3690, 25728, 1581, 1143, 6719, 513, 7432, 27808, 538, 1082, 3344, 282, 621, 5059, 593, 519, 1367, 267, 593, 519, 1480, 6891, 543, 519, 1480, 9997, 269, 1280, 2506, 3205, 267, 2470, 729, 10143, 282, 621, 8659, 519, 4267, 547, 782, 519, 13655, 540, 1272, 269, 15526, 1185, 1569, 547, 2470, 267, 2943, 1906, 1223, 2731, 9787, 519, 10143, 1761, 540, 621, 269, 1261, 3081, 538, 7186, 912, 2414, 3717, 5963, 267, 1906, 2937, 7606, 666, 1294, 2470, 269, 1547, 1547, 1547, 2311, 2547, 789, 723, 513, 1360, 21603, 7487, 269, 1547, 1547, 1547, 634, 24158, 540, 2470, 568, 646, 4171, 27808, 543, 21286, 12823, 616, 1869, 5963, 14661, 547, 1142, 824, 282, 945, 814, 17477, 519, 6891, 540, 1010, 26638, 1256, 883, 519, 5736, 540, 812, 3125, 563, 1607, 8574, 5267, 602, 547, 2731, 968, 5408, 892, 2470, 267, 835, 1590, 1589, 609, 519, 9345, 540, 513, 1126, 269, 2506, 3205, 543, 1010, 8284, 16637, 1581, 1235, 267, 2523, 19829, 1325, 22574, 267, 5156, 602, 1453, 4718, 519, 1158, 609, 23906, 615, 4064, 543, 602, 2094, 789, 941, 6251, 547, 4332, 267, 789, 941, 6251, 547, 741, 840, 19689, 5289, 1533, 269, 5753, 616, 711, 2407, 5171, 538, 519, 24041, 1062, 1317, 789, 616, 711, 2943, 9141, 676, 2724, 282, 741, 8186, 616, 1447, 968, 322, 992, 4765, 892, 609, 19048, 540, 519, 2413, 1158, 563, 1103, 713, 1259, 267, 3690, 25728, 1581, 1143, 15156, 606, 3592, 1036, 4809, 1533, 269, 1403, 835, 540, 519, 28975, 540, 3690, 25728, 1581, 1143, 568, 547, 1294, 609, 519, 4064, 540, 513, 1126, 267, 1776, 4557, 564, 568, 519, 1391, 585, 1367, 1143, 269, 2506, 3205, 543, 774, 648, 879, 941, 1360, 1454, 28288, 540, 1977, 1367, 1143, 282, 789, 1965, 3832, 14954, 29077, 543, 15007, 269, 901, 3029, 519, 4493, 585, 2506, 3205, 779, 1557, 968, 20236, 7304, 601, 4800, 1848, 769, 713, 1557, 267, 646, 6941, 912, 306, 1539, 1214, 10876, 568, 538, 24242, 1996, 519, 812, 3125, 540, 1169, 835, 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 ]
[ 5172, 8137, 269, 2334, 781, 950, 24054, 3268, 538, 256, 24054, 5849, 602, 3025, 4991, 513, 4023, 2671, 676, 1818, 11941, 1759, 593, 1367, 2115, 269, 1280, 1383, 267, 3246, 3063, 1085, 334, 3591, 585, 4130, 3214, 610, 10683, 6954, 3681, 585, 26178, 703, 26985, 2828, 269, 1635, 3257, 713, 267, 3025, 814, 3160, 1569, 547, 18399, 2439, 1103, 2424, 4422, 1688, 2987, 11804, 609, 4763, 543, 9698, 269, 26451, 3025, 1797, 4180, 1100, 835, 7959, 2451, 856, 610, 16934, 1317, 540, 741, 3017, 269, 4635, 938, 4672, 8645, 6300, 21658, 1586, 267, 4952, 2348, 513, 2027, 1554, 6131, 547, 15386, 543, 512, 8463, 1585, 2686, 4672, 1212, 4461, 269, 3767, 267, 1169, 8137, 4991, 922, 4090, 547, 19542, 267, 543, 3025, 7959, 20888, 543, 3769, 2439, 3383, 267, 1631, 596, 917, 602, 5009, 16844, 267, 24054, 267, 543, 29621, 2337, 1628, 2178, 4296, 1851, 1004, 543, 2636, 873, 547, 8853, 269, 8625, 267, 649, 786, 2263, 2081, 547, 8661, 938, 22464, 1247, 8156, 3025, 9425, 543, 24963, 269, 5192, 4712, 547, 4685, 883, 4241, 2984, 267, 2238, 267, 543, 5717, 827, 891, 1898, 2035, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 1751, 267, 9698, 267, 543, 10014, 630, 14701, 296, 264, 7341, 723, 1831, 5051, 1271, 607, 3906, 11441, 547, 4473, 547, 519, 2591, 543, 1711, 513, 811, 12581, 543, 8537, 9036, 585, 782, 5520, 269, 16692, 296, 7341, 616, 2966, 547, 2232, 7130, 267, 12886, 267, 3604, 540, 6644, 267, 543, 30886, 2152, 543, 547, 1711, 513, 2528, 540, 2463, 543, 10014, 585, 5520, 689, 782, 10080, 269, 1452, 7341, 666, 1491, 1082, 3029, 267, 689, 2866, 543, 2069, 3292, 547, 17849, 2853, 543, 3609, 2242, 563, 14294, 881, 766, 540, 16692, 296, 9024, 328, 2510, 454, 291, 1751, 267, 24054, 267, 543, 29621, 630, 14701, 296, 264, 7341, 616, 1271, 585, 2870, 513, 811, 4023, 543, 1175, 2486, 602, 1193, 1161, 547, 3398, 543, 2463, 3604, 269, 1452, 7341, 2832, 547, 3895, 543, 1489, 4763, 538, 782, 3029, 267, 971, 607, 5198, 267, 4008, 267, 4638, 10066, 267, 543, 2702, 267, 543, 960, 547, 2232, 543, 9004, 1022, 3029, 540, 7130, 543, 9186, 585, 606, 12581, 9036, 563, 763, 4644, 540, 16692, 296, 7341, 568, 2312, 281, 513, 811, 3309, 543, 538, 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, 3848, 476, 1691, 281, 5890, 21505, 2659, 6355, 21222, 976, 910, 10289, 1715, 29714, 692, 5970, 596, 2479, 26927, 3139, 827, 4687, 707, 5863, 21097, 1796, 2856, 609, 3214, 782, 1472, 519, 1158, 286, 2107, 6148, 596, 4312, 2813, 513, 3579, 813, 602, 3025, 1131, 2648, 547, 946, 256, 1306, 1762, 11639, 267, 972, 616, 865, 1082, 3255, 7996, 585, 596, 3564, 707, 8378, 610, 2749, 269, 2290, 971, 6909, 4960, 6013, 538, 10024, 1007, 6990, 267, 2523, 835, 607, 2462, 543, 6422, 607, 519, 2136, 2276, 256, 2334, 781, 1318, 282, 649, 2811, 6158, 827, 9513, 707, 2472, 610, 2533, 547, 6634, 540, 1004, 2066, 519, 7330, 269, 1809, 875, 798, 596, 1256, 1376, 3257, 1945, 899, 713, 950, 596, 2811, 1869, 538, 1647, 1153, 286, 2913, 781, 2263, 519, 1523, 1927, 676, 1565, 930, 1898, 3268, 780, 5575, 1919, 1101, 281, 1018, 1281, 621, 1611, 547, 4283, 513, 1007, 2344, 286, 5994, 2348, 513, 5172, 4558, 538, 707, 4884, 1141, 596, 4444, 9162, 267, 3756, 267, 610, 4739, 7727, 269, 3767, 1589, 827, 875, 9599, 596, 9364, 581, 952, 602, 1482, 4558, 4941, 547, 1930, 2282, 707, 3659, 781, 2777, 593, 519, 824, 2427, 540, 519, 2197, 269, 1358, 9364, 991, 547, 1451, 827, 519, 2199, 2146, 267, 1265, 519, 3501, 4087, 267, 5310, 4188, 741, 1587, 17008, 1759, 593, 7375, 267, 543, 4137, 856, 11288, 17825, 269, 2353, 891, 3646, 2179, 547, 10024, 513, 1007, 2344, 1107, 10962, 707, 1870, 547, 513, 1114, 3148, 609, 2189, 4162, 543, 5561, 780, 3086, 1577, 781, 1445, 593, 1946, 519, 772, 2529, 269, 2344, 1223, 581, 3226, 13267, 585, 1762, 11639, 899, 596, 269, 901, 5318, 2197, 814, 811, 982, 476, 20065, 2929, 1004, 630, 7474, 781, 10199, 2185, 2053, 519, 3003, 2551, 540, 4516, 14386, 945, 2097, 689, 3309, 10080, 543, 4529, 269, 2052, 596, 4952, 8757, 856, 547, 971, 513, 2647, 2039, 540, 1761, 2828, 543, 5561, 286, 9578, 267, 4892, 2731, 2972, 9140, 1187, 543, 3730, 3688, 267, 799, 1797, 789, 6108, 3592, 513, 10116, 540, 519, 2898, 1158, 781, 2724, 593, 5370, 543, 2533, 1169, 1032, 269, 16319, 7168, 15813, 267, 3085, 1405, 621, 2496, 4913, 267, 1175, 899, 1022, 1390, 7045, 267, 10024, 519, 772, 2529, 269, 2344, 2501, 609, 2591, 269, 6056, 827, 3843, 547, 6133, 707, 8949, 19471, 12897, 693, 513, 1153, 4023, 8957, 4881, 513, 23739, 1870, 7674, 606, 3003, 1533, 269, 1411, 9364, 9090, 991, 948, 23115, 856, 7247, 547, 3077, 267, 4259, 5777, 267, 7555, 856, 10838, 15712, 267, 543, 3478, 1346, 26345, 13000, 9447, 4195, 543, 3728, 269, 1677, 10994, 891, 2152, 3927, 267, 596, 1590, 1711, 513, 1134, 268, 2288, 339, 13050, 1544, 1572, 513, 834, 1598, 1538, 545, 31387, 2437, 1519, 1614, 1292, 3268, 1384, 272, 269, 2878, 15812, 564, 3194, 5093, 6969, 1818, 1022, 3664, 267, 596, 1616, 547, 1831, 606, 4274, 593, 3388, 1644, 547, 519, 772, 2529, 269, 2344, 269, 5808, 2729, 972, 286, 1548, 2186, 540, 4213, 2907, 2291, 286, 1215, 1454, 798, 1004, 3335, 2628, 585, 2147, 2472, 610, 2533, 286, 1635, 16460, 2055, 899, 891, 267, 596, 786, 1174, 1732, 2436, 707, 1870, 666, 8853, 538, 713, 14297, 19458, 563, 273, 269, 2878, 5522, 8911, 5093, 2991, 11018, 1344, 267, 621, 781, 942, 547, 2322, 1927, 513, 4640, 269, 6904, 2829, 1522, 581, 1034, 5461, 538, 707, 2472, 610, 2533, 286, 9701, 596, 1689, 4376, 827, 873, 547, 9029, 811, 547, 1977, 16919, 286, 4024, 596, 6928, 9753, 3054, 610, 960, 609, 1776, 2754, 547, 6023, 5838, 625, 286, 1452, 616, 2565, 2055, 547, 2626, 1354, 17259, 883, 2962, 563, 274, 269, 2878, 2750, 1815, 1081, 5093, 4495, 596, 1745, 8746, 827, 707, 1544, 267, 621, 781, 979, 6066, 256, 32374, 707, 6725, 11044, 267, 3715, 12352, 267, 543, 1205, 4712, 547, 1294, 875, 707, 1870, 9428, 269, 5457, 2141, 547, 3251, 8465, 1317, 3006, 6397, 9465, 949, 8451, 267, 855, 1810, 1405, 5855, 32503, 1631, 4865, 519, 2645, 2877, 547, 7753, 873, 6707, 780, 3383, 267, 1934, 781, 938, 4161, 585, 596, 281, 4584, 513, 1587, 610, 3028, 596, 9364, 2648, 547, 2671, 609, 8284, 1053, 2066, 3013, 543, 1246, 891, 3268, 269, 18430, 2344, 1382, 2228, 267, 1374, 513, 10888, 4640, 267, 543, 1287, 4952, 22745, 707, 1360, 1378, 3084, 5859, 269, 5808, 6487, 1765, 16673, 2041, 14693, 4166, 267, 3214, 10876, 786, 2972, 707, 13144, 1175, 607, 1454, 607, 707, 12543, 798, 2221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 6206, 547, 11773, 281, 589, 21864, 13979, 547, 9373, 532, 519, 772, 2529, 269, 645, 273, 289, 10369, 454, 2026, 606, 16724, 610, 1870, 8227, 267, 9750, 883, 1007, 6990, 568, 513, 4105, 1900, 2509, 3152, 2208, 543, 1967, 269, 1656, 1851, 519, 1585, 2518, 6990, 547, 2015, 267, 519, 772, 2529, 269, 2344, 6763, 856, 607, 513, 29988, 4316, 1813, 547, 922, 10373, 2450, 267, 3309, 6075, 3490, 267, 2178, 11449, 1379, 543, 1870, 7888, 1604, 269, 2060, 513, 2551, 540, 936, 476, 20065, 2929, 1004, 543, 476, 1839, 260, 540, 519, 2518, 12654, 267, 519, 772, 2529, 269, 2344, 568, 519, 4102, 7082, 2344, 538, 519, 1158, 563, 3719, 19480, 883, 519, 3810, 8013, 2475, 645, 273, 289, 2344, 666, 581, 513, 18447, 4305, 585, 4896, 269, 6969, 11362, 883, 519, 2344, 21774, 1184, 267, 621, 568, 2629, 547, 723, 513, 9488, 1620, 540, 519, 772, 2529, 269, 2344, 269, 898, 3340, 6297, 4058, 267, 4199, 14305, 543, 15826, 11056, 2443, 6382, 1634, 607, 707, 7580, 31387, 563, 14707, 3101, 2620, 281, 2344, 1382, 543, 2079, 454, 763, 772, 2529, 269, 2344, 568, 3810, 8013, 267, 609, 1312, 6469, 543, 3486, 5716, 642, 3539, 585, 544, 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, 20821, 590, 1013, 879, 345, 619, 281, 595, 1393, 855, 2398, 821, 547, 16164, 2353, 25489, 2336, 24801, 14945, 5970, 596, 2479, 4862, 540, 513, 2915, 9742, 1572, 590, 1013, 879, 10045, 286, 1358, 2811, 8385, 689, 5125, 543, 616, 1634, 585, 1373, 12703, 543, 2706, 5100, 256, 2060, 741, 32620, 8188, 543, 2189, 5911, 3620, 8529, 25151, 267, 789, 1118, 9735, 1920, 10130, 269, 1809, 1175, 899, 3425, 267, 5243, 666, 723, 11959, 1932, 910, 2523, 938, 590, 1013, 879, 10045, 2828, 269, 2290, 1455, 3390, 789, 3068, 568, 27699, 2562, 20231, 2207, 294, 22494, 256, 9462, 494, 378, 26926, 373, 20804, 692, 5331, 952, 2608, 9767, 265, 941, 7683, 21422, 543, 13943, 1317, 540, 1945, 596, 17696, 269, 2334, 3085, 1405, 3280, 1187, 693, 782, 267, 1318, 286, 4270, 267, 602, 781, 1018, 4523, 609, 930, 590, 1013, 879, 345, 619, 950, 789, 8532, 1978, 3536, 269, 4256, 4703, 1522, 2746, 21354, 547, 1808, 5820, 267, 4929, 25017, 267, 30919, 267, 543, 2489, 9636, 269, 962, 10105, 256, 9462, 502, 358, 692, 3719, 1810, 1405, 5855, 1107, 649, 666, 948, 938, 2770, 27918, 14609, 625, 676, 4466, 856, 799, 5820, 21898, 873, 269, 2913, 781, 1451, 827, 891, 16602, 12153, 1384, 2162, 5871, 5253, 23123, 6970, 6748, 24410, 1076, 2340, 504, 510, 20804, 692, 5278, 8912, 31268, 1851, 519, 27521, 338, 3297, 590, 1013, 879, 10045, 2960, 11959, 616, 1384, 272, 269, 2878, 10111, 8510, 6233, 630, 8364, 2125, 264, 4995, 1452, 2097, 689, 9274, 899, 10568, 267, 8970, 267, 543, 1256, 12277, 269, 18320, 1454, 540, 891, 1223, 1291, 547, 2152, 563, 273, 269, 2878, 3682, 974, 1231, 4995, 1411, 949, 1589, 267, 834, 310, 7159, 267, 3884, 1405, 3940, 1434, 8119, 8786, 267, 621, 568, 267, 855, 3006, 5243, 666, 1831, 6213, 547, 1880, 2010, 267, 971, 607, 9269, 267, 14132, 267, 3165, 267, 543, 5798, 780, 2005, 781, 1271, 547, 3314, 602, 1169, 590, 1013, 879, 10045, 568, 1114, 269, 1548, 21898, 338, 835, 7782, 1522, 711, 1860, 1776, 269, 1924, 875, 798, 649, 1265, 856, 1018, 781, 4929, 8373, 286, 1635, 9878, 2673, 3007, 547, 938, 561, 990, 762, 1093, 665, 1127, 1310, 803, 5306, 830, 2439, 2162, 13772, 4934, 1280, 1452, 20050, 26461, 478, 692, 2691, 938, 590, 1013, 879, 345, 619, 3548, 1945, 602, 9969, 4181, 609, 873, 267, 789, 1522, 1397, 4191, 899, 1384, 265, 700, 10107, 741, 533, 9155, 23494, 9462, 355, 370, 454, 265, 2480, 337, 10248, 741, 17987, 811, 1419, 982, 3339, 29836, 499, 454, 265, 11109, 3622, 28349, 2960, 9462, 496, 498, 692, 3528, 11287, 891, 4191, 267, 649, 666, 1376, 23115, 856, 1022, 1761, 2042, 538, 741, 11326, 269, 1403, 649, 1294, 4376, 7282, 267, 1577, 781, 2911, 547, 513, 16943, 945, 6487, 827, 590, 1013, 879, 345, 619, 543, 741, 6084, 3240, 13542, 256, 26461, 358, 587, 491, 414, 504, 499, 20804, 6930, 494, 370, 692, 2162, 15531, 14568, 5253, 18169, 9462, 354, 501, 692, 288, 3070, 1082, 4620, 3237, 3442, 568, 15175, 741, 590, 1013, 879, 10045, 14609, 344, 547, 513, 17290, 16016, 1042, 1304, 10791, 630, 299, 2839, 264, 610, 717, 1778, 6363 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21459, 4067, 263, 11391, 272, 17903, 2745, 263, 32715, 4315, 8542, 636, 15058, 318, 11391, 3418, 5897, 258, 1103, 615, 13330, 6769, 24541, 258, 10048, 4526, 910, 3763, 518, 616, 1016, 5035, 610, 1126, 1362, 610, 6508, 1362, 1477, 258, 32715, 4315, 568, 2706, 5035, 610, 2385, 1362, 610, 3490, 1362, 1477, 5035, 3763, 518, 263, 32715, 4315, 8029, 825, 1780, 5897, 5035, 15440, 263, 32715, 4315, 8029, 825, 1780, 5897, 2745, 263, 1170, 889, 5035, 263, 14946, 518, 267, 32715, 4315, 17903, 2745, 263, 1170, 889, 5035, 263, 10048, 4526, 267, 32715, 4315, 17903, 2745, 263, 1170, 889, 5035, 263, 32715, 4315, 267, 14946, 518, 264, 10142, 22563, 815, 3763, 518, 3488, 306, 2643, 1407, 614, 3299, 1412, 293, 1716, 663, 525, 3299, 476, 8517, 876, 3418, 332, 978, 815, 15440, 3488, 312, 690, 754, 571, 3299, 1412, 306, 532, 327, 3299, 476, 16020, 876, 10142, 2745, 263, 22563, 269, 21459, 4067, 3890, 10142, 2745, 263, 529, 27349, 263, 22563, 267, 14946, 518, 17903, 2745, 263, 529, 27349, 263, 22563, 267, 10048, 4526, 17903, 2745, 263, 529, 27349, 9852, 978, 267, 10048, 4526, 17903, 2745, 263, 529, 27349, 263, 22563, 267, 32715, 4315, 17903, 2745, 263, 529, 27349, 9852, 978, 267, 32715, 4315, 17903, 2745, 263, 529, 27349, 263, 11391, 272, 267, 10048, 4526, 17903, 2745, 263, 529, 27349, 263, 11391, 272, 267, 14946, 518, 17903, 5897, 5897, 258, 21296, 18472, 6769, 5035, 589, 6769, 825, 1780, 1477, 5035, 645, 6769, 825, 1780, 1477, 5035, 595, 10490, 32390, 8029, 825, 1780, 5897, 258, 25648, 7400, 18472, 6769, 5035, 667, 6769, 825, 1780, 1477, 5035, 661, 20573, 8029, 825, 1780, 1477, 5035, 674, 27887, 8029, 825, 1780, 5897, 258, 7090, 1281, 1100, 344, 723, 1569, 1110, 13294, 1523, 23228, 258, 2467, 568, 1100, 1523, 540, 12331, 538, 9226, 630, 1440, 10675, 267, 6870, 267, 1857, 1040, 1477, 258, 5472, 2818, 538, 513, 9226, 1362, 616, 1857, 676, 9949, 23228, 18851, 1477, 19702, 762, 1857, 1477, 318, 19702, 762, 318, 6870, 1523, 1477, 1029, 19702, 762, 1029, 4357, 1477, 18851, 5897, 258, 1478, 2903, 532, 543, 936, 32061, 1523, 568, 972, 538, 9226, 269, 5897, 5897, 5897, 24653, 0, 258, 21196, 271, 2190, 910, 3009, 4161, 4816, 4408, 1477, 5814, 556, 1477, 5228, 5895, 1104, 5895, 1477, 5814, 21795, 607, 19073, 1477, 5814, 21267, 28272, 607, 12301, 5897, 16344, 523, 1868, 815, 5895, 3488, 29688, 339, 868, 262, 10142, 258, 15105, 1239, 689, 476, 6642, 271, 512, 271, 476, 1001, 271, 543, 4946, 513, 6241, 3957, 1032, 1477, 258, 935, 13906, 523, 908, 782, 540, 519, 1239, 883, 2582, 1239, 18134, 1477, 321, 17879, 8217, 815, 32582, 5897, 328, 284, 272, 1477, 6112, 1775, 283, 263, 1001, 272, 268, 6942, 280, 8029, 825, 3758, 815, 1412, 344, 984, 262, 266, 1598, 263, 6942, 280, 266, 328, 11924, 8339, 339, 868, 262, 1477, 825, 10917, 32470, 815, 19073, 18667, 32269, 31526, 267, 4408, 284, 9131, 12849, 3299, 1412, 14054, 3299, 1412, 12248, 338, 11172, 3418, 825, 1032, 815, 703, 263, 516, 26098, 718, 16868, 262, 315, 323, 315, 323, 315, 323, 315, 323, 3299, 3758, 25011, 271, 316, 10142, 825, 10917, 32470, 9131, 20204, 11172, 815, 1032, 1477, 825, 4816, 8217, 6910, 6025, 11391, 32470, 3418, 825, 1775, 23785, 272, 5897, 4206, 815, 19073, 26769, 13906, 6357, 17879, 8217, 267, 7852, 284, 271, 267, 11716, 16229, 18989, 10142, 258, 12749, 476, 276, 4775, 543, 5256, 4816, 4408, 540, 519, 1032, 476, 1001, 271, 6769, 4206, 318, 1001, 271, 815, 17093, 314, 4206, 9131, 20204, 11172, 2525, 1001, 271, 15947, 325, 24580, 5332, 1868, 815, 17093, 318, 1001, 271, 314, 4206, 318, 1001, 271, 9131, 14054, 11172, 2525, 262, 293, 11172, 1477, 338, 9285, 6958, 655, 2297, 815, 4775, 5332, 1868, 31699, 28767, 3488, 12248, 338, 3299, 26799, 815, 8771, 267, 11716, 16229, 18989, 3418, 332, 1446, 5332, 1868, 815, 17093, 318, 1001, 271, 314, 4206, 318, 1001, 271, 9131, 14054, 11172, 2525, 262, 300, 11172, 1477, 338, 9285, 8548, 2297, 815, 5256, 5332, 1868, 31699, 28767, 3488, 12248, 338, 3299, 26799, 815, 8771, 267, 11716, 16229, 18989, 10142, 2745, 3488, 12749, 476, 276, 4775, 4816, 4408, 540, 519, 586, 320, 518, 476, 1001, 271, 616, 24097, 333, 3299, 15044, 6958, 655, 2297, 9131, 12849, 262, 4940, 3650, 263, 276, 17903, 2745, 3488, 12749, 476, 276, 5256, 4816, 4408, 540, 519, 586, 320, 518, 476, 1001, 271, 616, 24097, 333, 3299, 15044, 8548, 2297, 9131, 12849, 262, 6012, 271, 281, 276, 316, 10142, 258, 8999, 540, 519, 24570, 6241, 676, 4008, 607, 519, 2698, 1297, 540, 24570, 538, 602, 1032, 1477, 20204, 569, 14682, 29470, 815, 17093, 3052, 4981, 2421, 8443, 262, 20204, 12887, 14054, 11172, 1040, 12000, 20719, 262, 12248, 338, 262, 2433, 18358, 8999, 11172, 348, 3418, 2745, 3488, 17413, 3772, 4008, 12523, 540, 9002, 281, 3299, 21496, 14682, 29470, 10142, 258, 5522, 582, 547, 1397, 4008, 12523, 1032, 3772, 6769, 20204, 569, 14682, 29470, 19502, 263, 11779, 8782, 8663, 3299, 30528, 25716, 3418, 20204, 569, 14682, 29470, 23584, 263, 736, 1040, 7120, 263, 11779, 8782, 8663, 262, 10142, 258, 2690, 2698, 5256, 543, 4775, 1293, 2094, 4358, 1032, 547, 1439, 1032, 585, 2898, 1239, 1477, 20135, 8548, 2297, 815, 17093, 314, 4206, 9131, 14054, 11172, 2525, 262, 300, 262, 6012, 262, 12248, 338, 262, 4940, 8999, 14052, 20135, 6958, 655, 2297, 815, 17093, 314, 4206, 9131, 14054, 11172, 2525, 262, 293, 262, 6012, 262, 12248, 338, 262, 4940, 8999, 14052, 0, 258, 21196, 271, 4391, 267, 4303, 271, 4343, 267, 4303, 271, 4375, 910, 28547, 1239, 547, 25948, 6041, 1477, 5814, 21795, 607, 19073, 1477, 4206, 815, 19073, 18667, 32269, 3488, 21946, 776, 318, 12218, 2305, 27406, 262, 10142, 4206, 17482, 1477, 4206, 31815, 8435, 6745, 565, 626, 14052, 4206, 18994, 333, 1638, 14061, 1415, 263, 9471, 284, 271, 3418, 4206, 6155, 18196, 5897, 258, 10623, 2137, 543, 10297, 281, 5897, 10623, 2137, 815, 17093, 269, 559, 665, 18020, 271, 281, 275, 4940, 11161, 1477, 18350, 1564, 815, 17093, 269, 559, 665, 11468, 16427, 272, 4940, 11161, 5897, 258, 24119, 3477, 9587, 1477, 258, 933, 991, 547, 6460, 28547, 1239, 547, 25948, 6041, 1477, 258, 523, 13892, 938, 28547, 1239, 538, 25948, 1477, 258, 821, 14653, 16780, 5317, 5897, 258, 16769, 9847, 23876, 630, 300, 16017, 3009, 264, 9847, 6771, 9847, 1232, 1712, 9847, 9623, 1477, 5228, 28189, 269, 2181, 30112, 1104, 2290, 31640, 21886, 18344, 1477, 5228, 28189, 2593, 2821, 1104, 28758, 9558, 845, 518, 5897, 290, 318, 9558, 845, 518, 815, 28758, 9558, 845, 518, 8443, 3488, 16780, 18344, 3299, 2290, 31640, 21886, 18344, 19572, 1496, 271, 8079, 3910, 14230, 815, 1412, 335, 553, 560, 327, 893, 262, 10142, 5814, 11885, 607, 5286, 1477, 10623, 2137, 815, 5286, 15126, 18154, 318, 9558, 845, 518, 32265, 4671, 4920, 845, 6600, 324, 2137, 1070, 546, 6943, 815, 5286, 269, 15615, 3953, 3418, 258, 323, 16244, 4632, 2813, 547, 1711, 1007, 9587, 799, 941, 711, 4505, 263, 271, 267, 476, 272, 1299, 476, 273, 3418, 258, 271, 910, 4886, 6241, 267, 476, 272, 910, 13281, 6241, 1299, 476, 273, 910, 772, 311, 6241, 5897, 10623, 2137, 815, 2934, 18020, 272, 281, 316, 1948, 1729, 4894, 32118, 7933, 8817, 4756, 649, 6569, 476, 272, 560, 6241, 5897, 258, 30221, 1449, 8237, 1477, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 1477, 10623, 2137, 17601, 267, 2934, 15305, 267, 10297, 17601, 267, 10297, 15305, 815, 5721, 15305, 5334, 5902, 6600, 324, 2137, 267, 10297, 267, 1449, 15481, 815, 476, 271, 269, 274, 267, 4351, 26077, 815, 476, 271, 10142, 258, 10623, 1155, 18440, 270, 7538, 1436, 910, 21506, 5228, 28189, 269, 2181, 30112, 1104, 9208, 306, 5632, 518, 1477, 2675, 815, 9208, 306, 5632, 518, 31476, 10623, 2137, 17601, 815, 1085, 32265, 4671, 4920, 845, 6600, 324, 2137, 17601, 3418, 258, 10177, 1456, 1239, 910, 476, 3583, 260, 1477, 258, 7257, 25341, 1611, 267, 31901, 1477, 258, 10520, 845, 25341, 4542, 5897, 10623, 2137, 15305, 815, 1085, 6745, 4920, 845, 6600, 324, 2137, 15305, 3418, 258, 11687, 532, 1239, 476, 476, 1789, 260, 1477, 258, 7257, 4671, 4920, 845, 267, 3514, 910, 1611, 267, 31901, 689, 713, 476, 736, 260, 1239, 1152, 1477, 258, 10520, 845, 910, 1611, 267, 31901, 689, 5721, 1239, 5897, 5228, 28189, 269, 15035, 31200, 1104, 12430, 8802, 1833, 1477, 2958, 1833, 815, 12430, 8802, 1833, 3890, 1948, 22056, 606, 1843, 5897, 2958, 1833, 32265, 6600, 324, 2137, 17601, 267, 10297, 17601, 10142, 335, 9438, 539, 815, 9695, 4877, 9438, 6600, 324, 2137, 15305, 10142, 335, 323, 6185, 1092, 20988, 18750, 760, 9638, 9438, 539, 267, 10297, 15305, 264, 10142, 335, 9438, 539, 17601, 815, 9695, 4877, 9438, 6600, 324, 2137, 17601, 10142, 335, 323, 6185, 1092, 20988, 18750, 760, 9638, 9438, 539, 17601, 267, 10297, 17601, 264, 10142, 258, 2958, 1833, 269, 16557, 6600, 324, 2137, 15305, 267, 10567, 264, 910, 786, 2285, 835, 1152, 7790, 286, 1477, 258, 16557, 910, 6111, 1477, 30221, 318, 3147, 5596, 815, 9695, 269, 16557, 6600, 324, 2137, 17601, 267, 10297, 17601, 3418, 11687, 318, 3147, 5596, 815, 9695, 269, 16557, 6600, 324, 2137, 15305, 267, 10297, 15305, 10142, 2745, 3488, 5978, 2203, 8036, 6111, 568, 281, 1412, 266, 1598, 6025, 1778, 318, 3147, 5596, 265, 1911, 11924, 262, 260, 20298, 2745, 3488, 5978, 2203, 7318, 6111, 568, 281, 1412, 266, 1598, 6025, 652, 318, 3147, 5596, 265, 1911, 11924, 262, 260, 262, 10142, 258, 3086, 267, 17782, 585, 1007, 2934, 6769, 2958, 1833, 32265, 6600, 324, 2137, 267, 10297, 3418, 343, 815, 1496, 9131, 14946, 618, 3299, 476, 8099, 271, 267, 476, 273, 267, 476, 274, 3910, 18358, 308, 311, 3299, 476, 7742, 271, 267, 476, 274, 267, 476, 275, 269, 277, 3910, 18358, 14818, 532, 3299, 476, 5197, 271, 267, 476, 273, 267, 476, 272, 269, 273, 14963, 1477, 343, 815, 5286, 15126, 3287, 3418, 343, 815, 5286, 15126, 18154, 318, 9558, 845, 518, 6745, 4920, 845, 3287, 1070, 546, 6943, 815, 5286, 269, 15615, 3953, 3418, 343, 815, 1535, 18020, 272, 281, 15947, 258, 10520, 845, 1477, 2958, 1833, 4877, 9438, 3287, 10142, 258, 21982, 3403, 547, 3589, 1477, 344, 815, 20886, 1598, 9272, 3488, 11767, 707, 4972, 1851, 891, 1614, 24097, 333, 14946, 618, 14826, 14818, 532, 14826, 308, 311, 281, 1422, 333, 10807, 1070, 703, 9272, 3488, 11767, 707, 2698, 960, 2944, 538, 3108, 281, 1412, 24270, 703, 9272, 3488, 11767, 1297, 540, 24501, 2944, 676, 596, 281, 1412, 24270, 10581, 9272, 3488, 11767, 707, 1296, 540, 1995, 281, 1412, 4297, 14963, 1477, 344, 815, 5286, 15126, 12169, 3418, 344, 815, 5286, 15126, 18154, 318, 9558, 845, 518, 6745, 4920, 845, 12169, 1070, 546, 6943, 815, 5286, 269, 15615, 3953, 3418, 344, 815, 586, 18020, 272, 281, 15947, 2958, 1833, 4877, 9438, 12169, 10142, 4649, 274, 8660, 269, 279, 3607, 267, 476, 277, 7176, 2918, 269, 9032, 2073, 476, 3607, 277, 6734, 269, 276, 2767, 0, 258, 10059, 2517, 2889, 915, 324, 17526, 14492, 24579, 12378, 284, 274, 454, 258, 22772, 519, 4102, 6305, 2630, 513, 1978, 1297, 454, 18257, 3698, 2215, 3287, 2187, 453, 328, 24210, 454, 453, 8063, 815, 834, 325, 4840, 453, 6112, 6936, 912, 453, 453, 328, 268, 284, 272, 454, 453, 453, 329, 284, 273, 454, 453, 453, 6112, 630, 329, 27045, 1037, 9217, 1262, 271, 269, 276, 266, 272, 15892, 4848, 14851, 9217, 260, 329, 2525, 271, 2187, 15235, 14851, 9217, 2525, 274, 2187, 20930, 13537, 834, 274, 568, 519, 4102, 6305, 2630, 14307, 343, 454, 20930, 453, 8063, 815, 834, 28062, 4840, 20930, 453, 19874, 454, 15235, 453, 19197, 9217, 2525, 273, 2187, 20930, 13537, 834, 273, 568, 519, 4102, 6305, 2630, 14307, 343, 454, 20930, 453, 8063, 815, 834, 28062, 4840, 20930, 453, 19874, 454, 15235, 28432, 912, 20930, 453, 19874, 454, 258, 4848, 28432, 912, 258, 15235, 13537, 1775, 25814, 454, 258, 15235, 13537, 5180, 9217, 1262, 271, 269, 276, 266, 273, 994, 258, 15235, 453, 329, 23785, 272, 454, 4848, 453, 19197, 27203, 2525, 1037, 9217, 1262, 271, 269, 276, 266, 272, 15892, 15235, 453, 8063, 815, 834, 28062, 4840, 15235, 13537, 1775, 267, 834, 529, 519, 4102, 6305, 2630, 2580, 343, 454, 15235, 453, 19874, 454, 4848, 28432, 912, 15235, 453, 329, 23785, 272, 454, 453, 14851, 263, 8063, 2652, 834, 28062, 257, 2187, 4848, 453, 19874, 454, 27146, 263, 7785, 5952, 272, 275, 4037, 16960, 264, 18257, 7531, 258 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2296, 269, 634, 29395, 538, 1325, 604, 645, 12711, 3568, 2296, 547, 12428, 543, 12428, 547, 2296, 267, 1818, 621, 1360, 2653, 585, 513, 19444, 547, 12398, 519, 2262, 789, 2461, 3168, 585, 563, 2691, 513, 2875, 20021, 689, 1210, 1325, 604, 645, 12711, 267, 789, 616, 1287, 5189, 547, 1325, 918, 7534, 629, 851, 835, 269, 1325, 918, 7534, 629, 568, 513, 22082, 538, 922, 2361, 538, 602, 674, 2313, 320, 630, 20598, 12428, 1070, 16549, 686, 630, 292, 5118, 1014, 13172, 1070, 543, 1744, 9564, 630, 8867, 2779, 710, 13172, 264, 616, 782, 12286, 538, 835, 1433, 269, 634, 6863, 8638, 267, 27573, 676, 2681, 267, 1459, 782, 1614, 3029, 2427, 8386, 20933, 630, 684, 1652, 267, 540, 1576, 267, 519, 2262, 1281, 711, 2291, 538, 835, 540, 519, 22463, 1040, 769, 1840, 547, 811, 6863, 267, 1325, 918, 7534, 629, 2228, 814, 7044, 602, 1459, 2984, 827, 3197, 543, 741, 1554, 547, 1554, 1272, 269, 901, 2882, 10067, 320, 543, 10609, 19981, 267, 3254, 538, 1312, 674, 2313, 320, 543, 16549, 686, 7044, 267, 543, 715, 529, 2240, 543, 570, 926, 336, 538, 519, 1744, 9564, 7044, 269, 2991, 11264, 1325, 918, 7534, 629, 851, 835, 267, 1053, 3356, 547, 851, 1079, 267, 1287, 851, 1614, 9935, 269, 634, 1482, 3197, 616, 1031, 538, 519, 1650, 1467, 609, 4351, 18596, 11051, 538, 20775, 1236, 1080, 269, 3958, 267, 1310, 851, 835, 267, 972, 568, 1100, 3476, 606, 2296, 547, 12428, 29395, 563, 3682, 338, 543, 3117, 454, 296, 723, 1044, 1210, 1325, 918, 7534, 629, 585, 519, 2063, 2185, 5033, 22246, 267, 543, 594, 993, 4867, 28870, 998, 1325, 918, 7534, 629, 851, 1079, 269, 1280, 602, 2601, 267, 594, 786, 1152, 581, 5466, 519, 1101, 1614, 2835, 563, 2467, 568, 6157, 1100, 17732, 540, 6863, 8659, 538, 1142, 1433, 269, 1325, 604, 645, 12711, 3568, 1472, 476, 1220, 1913, 267, 851, 835, 3568, 936, 476, 6110, 1913, 267, 543, 851, 1079, 3568, 513, 2147, 2179, 547, 851, 835, 269, 21771, 2039, 689, 2951, 547, 3001, 547, 11776, 282, 1053, 6157, 2744, 513, 2647, 4560, 540, 6863, 689, 519, 2835, 563, 2704, 604, 645, 12711, 607, 606, 4985, 454, 7197, 824, 12428, 1837, 3126, 798, 711, 979, 883, 5176, 607, 1454, 1469, 607, 1325, 604, 645, 12711, 269, 1635, 3246, 513, 1433, 4481, 585, 1346, 14542, 609, 519, 12428, 9904, 267, 519, 4589, 723, 1500, 621, 4443, 585, 12428, 6267, 547, 723, 513, 23887, 1995, 689, 4098, 547, 1439, 269, 898, 1058, 581, 7074, 602, 594, 6785, 519, 9904, 1354, 4358, 5049, 269, 5221, 540, 713, 267, 594, 23222, 7458, 998, 519, 1101, 1433, 282, 1866, 1522, 711, 723, 713, 1995, 269, 23657, 1259, 267, 594, 729, 3507, 894, 540, 1325, 604, 645, 12711, 585, 922, 3015, 29395, 267, 6037, 3438, 725, 267, 543, 3730, 2228, 1543, 563, 293, 2716, 2225, 585, 5584, 832, 454, 10303, 519, 1433, 3091, 1614, 1114, 22463, 267, 20485, 666, 3442, 1018, 789, 1131, 899, 547, 11168, 269, 901, 2306, 2631, 538, 602, 1034, 12428, 10529, 798, 711, 946, 674, 2313, 320, 538, 1554, 3562, 6377, 6643, 269, 2060, 782, 1614, 2139, 267, 20485, 666, 946, 674, 2313, 320, 585, 2854, 10467, 543, 824, 22463, 585, 9275, 10467, 269, 3958, 267, 5356, 1312, 1744, 9564, 543, 16549, 686, 2636, 585, 1169, 2875, 538, 606, 12428, 8257, 547, 946, 519, 1482, 1433, 269, 901, 2306, 621, 4443, 547, 1353, 609, 1866, 1256, 952, 596, 616, 538, 5049, 602, 1445, 593, 1114, 22463, 563, 2704, 918, 7534, 629, 568, 29200, 585, 2348, 24631, 6863, 950, 621, 2501, 547, 1483, 3734, 3871, 281, 519, 2262, 585, 519, 2136, 8315, 568, 5189, 1354, 1022, 540, 519, 4778, 269, 1280, 1346, 602, 723, 4121, 824, 2413, 4654, 267, 713, 568, 9490, 269, 769, 6093, 1893, 5049, 267, 1053, 6108, 519, 1101, 1032, 1565, 4052, 1913, 543, 2453, 267, 899, 875, 547, 6338, 3054, 267, 875, 547, 4766, 707, 1920, 267, 875, 547, 1931, 538, 513, 13962, 267, 543, 875, 547, 2995, 519, 942, 563, 2704, 918, 7534, 629, 23297, 547, 1445, 593, 21372, 6863, 2864, 982, 3246, 6863, 585, 4948, 4205, 269, 3509, 723, 29499, 602, 519, 1433, 568, 28110, 811, 4724, 6721, 3318, 674, 2313, 320, 6037, 2209, 982, 3450, 596, 875, 547, 5968, 538, 1483, 1272, 269, 898, 568, 1256, 811, 9490, 950, 596, 1413, 693, 519, 968, 29442, 525, 892, 585, 519, 4559, 269, 2755, 930, 616, 811, 23887, 267, 1866, 616, 4625, 4351, 269, 1280, 1383, 267, 835, 3184, 1522, 1445, 593, 851, 3539, 267, 5986, 267, 543, 4160, 1107, 3584, 602, 3100, 547, 711, 581, 5532, 269, 9406, 1310, 2501, 513, 3184, 827, 5061, 267, 1973, 267, 543, 1920, 2818, 269, 634, 3668, 540, 22122, 1063, 6863, 1913, 538, 519, 1482, 1770, 2306, 621, 2352, 547, 723, 10467, 602, 1445, 593, 1175, 835, 1770, 563, 2704, 918, 7534, 629, 1281, 711, 3100, 547, 917, 602, 922, 3755, 616, 1034, 5432, 609, 2296, 8239, 269, 13298, 267, 519, 1433, 786, 2491, 12428, 8239, 607, 952, 621, 814, 1100, 6935, 547, 2296, 8239, 267, 1818, 519, 1184, 1256, 9875, 585, 1346, 602, 6560, 609, 8239, 538, 519, 1101, 1747, 269, 1280, 1383, 267, 950, 1565, 827, 1102, 8181, 1161, 630, 1729, 2196, 267, 547, 3717, 267, 3092, 1070, 519, 1433, 2760, 4016, 547, 873, 607, 971, 269, 6736, 519, 1249, 602, 1034, 2296, 10529, 910, 18034, 1346, 602, 723, 6594, 1776, 1893, 268, 666, 2697, 1018, 606, 31208, 1438, 568, 267, 1325, 918, 7534, 629, 3085, 1406, 3801, 547, 946, 519, 2165, 269, 30052, 267, 2296, 543, 12428, 8239, 616, 711, 519, 1482, 269, 1717, 267, 519, 1433, 1131, 581, 513, 2603, 811, 3015, 952, 621, 1185, 2296, 8239, 3741, 538, 2247, 563, 296, 666, 1174, 1018, 519, 4589, 941, 12394, 547, 798, 609, 519, 3197, 789, 2813, 269, 1635, 11744, 875, 547, 946, 519, 6863, 538, 513, 968, 9418, 3734, 3510, 2223, 621, 1500, 1018, 649, 941, 1565, 3100, 811, 10858, 269, 634, 7044, 267, 2705, 267, 616, 22573, 267, 1835, 16636, 3917, 267, 543, 15587, 7168, 24631, 269, 3733, 15032, 543, 594, 941, 811, 16539, 538, 1818, 24668, 827, 519, 7044, 982, 2965, 1565, 4376, 689, 873, 269, 634, 1650, 6050, 849, 1810, 1406, 1118, 513, 2603, 540, 2631, 282, 1247, 713, 3884, 1406, 20248, 32485, 519, 1565, 1184, 267, 8242, 7044, 1223, 4497, 609, 543, 4001, 1053, 1732, 563, 296, 723, 16916, 930, 540, 891, 5294, 543, 931, 998, 8039, 267, 15032, 267, 543, 1250, 1378, 1995, 269, 4475, 267, 891, 8369, 616, 711, 8471, 269, 1703, 616, 7899, 540, 1004, 602, 3494, 1325, 918, 7534, 629, 568, 519, 1655, 12428, 1837, 3126, 593, 519, 2344, 269, 898, 1175, 4422, 547, 1397, 875, 16148, 1893, 1565, 568, 282, 585, 803, 267, 1325, 918, 7534, 629, 1281, 2370, 811, 982, 1683, 4351, 6863, 543, 14605, 8647, 2228, 2238, 269, 17859, 267, 594, 723, 1869, 4121, 7899, 540, 12428, 543, 666, 946, 519, 1983, 6591, 689, 1325, 918, 7534, 629, 543, 4019, 873, 547, 1250, 4830, 1353, 540, 519, 1893, 563, 13425, 856, 6259, 3013, 779, 5816, 1934, 256, 0, 4322, 12267, 616, 782, 942, 5172, 10374, 12267, 585, 8866, 609, 26874, 543, 3407, 4245, 454, 763, 595, 7342, 16737, 454, 16524, 3516, 538, 513, 26570, 972, 5030, 513, 16737, 269, 1261, 729, 1360, 17237, 269, 1261, 729, 538, 3406, 540, 1426, 563, 306, 19488, 646, 4718, 513, 623, 15607, 517, 9361, 593, 513, 3529, 269, 634, 16737, 729, 8572, 547, 18214, 519, 3529, 563, 3383, 646, 2219, 513, 1544, 543, 1767, 547, 519, 25190, 517, 602, 968, 15916, 6004, 269, 623, 15607, 517, 594, 993, 513, 28034, 540, 2696, 269, 1280, 1631, 267, 27477, 1100, 3662, 786, 3548, 824, 2831, 269, 22067, 1524, 1577, 779, 8661, 3034, 21413, 3206, 585, 513, 1247, 519, 623, 15607, 517, 2968, 6126, 676, 1010, 1913, 543, 3357, 1524, 547, 8661, 269, 1306, 4166, 607, 519, 623, 15607, 517, 3357, 1524, 267, 519, 16737, 17696, 519, 623, 15607, 517, 543, 4682, 2476, 454, 763, 26874, 540, 519, 9452, 568, 1107, 8550, 3972, 513, 16995, 12287, 693, 1022, 4090, 454, 31568, 519, 10266, 614, 454, 5629, 2390, 513, 942, 538, 513, 8498, 267, 972, 5030, 513, 18048, 3957, 10793, 269, 1261, 729, 513, 2182, 11832, 543, 2943, 1310, 2324, 519, 2898, 1554, 646, 3085, 1406, 723, 2614, 2724, 547, 3548, 1614, 2053, 513, 1554, 563, 3080, 1554, 513, 28867, 867, 538, 602, 8498, 1572, 1864, 543, 4280, 1864, 547, 5862, 1010, 10935, 269, 634, 2179, 729, 6378, 693, 476, 5611, 271, 536, 15085, 563, 763, 1985, 10793, 3323, 547, 5862, 519, 10935, 269, 22582, 646, 4718, 513, 8559, 538, 602, 10935, 269, 1261, 5612, 6378, 621, 543, 13556, 519, 2898, 10935, 563, 763, 28867, 867, 4718, 519, 10935, 543, 4280, 1864, 547, 2097, 14182, 547, 2445, 1010, 2724, 563, 763, 28867, 867, 779, 1920, 4682, 585, 513, 11878, 538, 602, 10935, 269, 2991, 930, 942, 519, 22700, 540, 602, 28867, 867, 8452, 543, 4280, 827, 1010, 1920, 563, 763, 22700, 1287, 27086, 543, 1767, 968, 306, 597, 602, 10935, 814, 513, 8559, 538, 621, 269, 898, 786, 16173, 585, 2386, 3034, 306, 3019, 519, 28867, 867, 779, 1920, 8452, 9108, 543, 789, 1767, 602, 519, 10935, 2348, 1100, 8559, 538, 621, 563, 763, 8092, 331, 867, 1287, 9684, 539, 10793, 1317, 646, 1223, 18178, 1273, 4221, 519, 8559, 610, 723, 4280, 3063, 2724, 585, 602, 855, 267, 10793, 1373, 9237, 812, 2944, 1010, 2816, 25473, 543, 4607, 5595, 8569, 607, 513, 10516, 454, 763, 26874, 540, 519, 9452, 568, 1107, 4518, 12968, 652, 569, 543, 596, 786, 15983, 1205, 707, 10516, 2221, 610, 14182, 563, 5415, 2984, 585, 3214, 616, 2016, 2630, 454, 763, 717, 7517, 344, 17164, 762, 590, 11839, 454, 16524, 3516, 538, 513, 8498, 267, 972, 5030, 513, 10448, 22673, 3957, 20717, 563, 3891, 814, 1010, 3484, 1141, 646, 7472, 5214, 543, 2635, 5388, 543, 23619, 538, 519, 3003, 8498, 563, 18814, 547, 519, 1164, 3747, 585, 5388, 267, 20717, 779, 5388, 941, 711, 2614, 585, 519, 3003, 8498, 563, 3891, 14659, 602, 1813, 547, 1164, 3747, 543, 1250, 1447, 7274, 540, 5388, 267, 1004, 786, 4444, 689, 1776, 8498, 563, 3383, 267, 20717, 3323, 547, 2322, 6464, 593, 1010, 3484, 865, 602, 646, 949, 1205, 513, 1164, 7274, 540, 5388, 269, 17652, 1813, 547, 6464, 267, 646, 729, 3478, 811, 5388, 543, 1287, 646, 6368, 3323, 547, 6133, 538, 519, 3003, 8498, 563, 5475, 513, 3018, 782, 519, 27142, 3893, 2192, 543, 32357, 2509, 519, 6413, 269, 634, 4387, 1336, 602, 713, 568, 1317, 540, 6464, 543, 1287, 782, 27142, 6956, 945, 568, 1210, 6464, 563, 763, 1985, 1554, 950, 20717, 729, 4758, 6464, 547, 1010, 3484, 519, 27142, 9575, 1864, 2699, 26370, 689, 602, 1554, 1100, 835, 1207, 903, 5388, 689, 20717, 454, 763, 26874, 540, 519, 9452, 568, 1107, 717, 7517, 1465, 786, 2014, 596, 513, 5458, 2530, 454, 763, 674, 944, 880, 29838, 454, 5629, 2390, 513, 942, 538, 513, 26570, 972, 5030, 513, 1895, 540, 29838, 338, 538, 513, 2620, 1134, 269, 634, 1134, 729, 4092, 538, 519, 1647, 540, 519, 808, 21819, 563, 16449, 519, 1895, 540, 519, 20883, 267, 972, 729, 513, 18174, 880, 13855, 543, 3025, 2306, 1187, 540, 1010, 18174, 880, 1145, 563, 3080, 1554, 519, 18174, 880, 13855, 2219, 547, 4001, 782, 519, 29838, 338, 513, 3992, 269, 2701, 1287, 4682, 3544, 519, 1134, 547, 1118, 11505, 609, 513, 6793, 3662, 563, 9515, 4718, 513, 13131, 543, 1287, 1352, 4682, 2282, 1864, 543, 1767, 968, 15916, 31315, 269, 594, 1616, 547, 1118, 11505, 609, 596, 1848, 634, 31315, 561, 13774, 1117, 543, 1767, 594, 3548, 20883, 1169, 1554, 855, 1946, 798, 596, 1616, 547, 1118, 11505, 609, 803, 286, 634, 29838, 5143, 1864, 827, 1200, 14763, 3330, 519, 1134, 563, 763, 29838, 1256, 5143, 1864, 519, 1259, 547, 519, 1134, 269, 634, 31315, 3357, 3330, 519, 1134, 543, 17696, 909, 782, 519, 14763, 540, 602, 13855, 269, 1809, 267, 519, 29838, 1767, 267, 968, 5472, 1250, 14763, 616, 936, 1631, 596, 723, 547, 4734, 713, 1747, 3034, 763, 31315, 561, 13774, 1117, 543, 1767, 968, 2791, 18174, 880, 29838, 267, 1215, 666, 594, 4413, 713, 4316, 547, 3548, 782, 891, 29838, 338, 892, 590, 11691, 713, 519, 31315, 17696, 782, 519, 29838, 338, 543, 1256, 13881, 519, 674, 944, 880, 29838, 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 ]
[ 994, 567, 910, 476, 272, 7484, 11877, 8645, 454, 567, 910, 476, 1626, 12063, 20220, 540, 521, 1023, 320, 2357, 1372, 454, 567, 910, 476, 272, 7484, 27054, 4765, 524, 1117, 323, 541, 10381, 454, 567, 910, 476, 272, 7484, 27054, 4765, 3933, 614, 9445, 10793, 10381, 454, 567, 910, 476, 272, 268, 273, 4195, 795, 531, 1901, 25123, 18717, 267, 5452, 6569, 543, 22872, 630, 28436, 267, 585, 3773, 3002, 2020, 273, 269, 16259, 519, 29380, 344, 22556, 912, 567, 513, 269, 24953, 909, 513, 1804, 1236, 32576, 936, 5420, 3002, 543, 1039, 519, 7423, 269, 4495, 621, 5283, 1206, 267, 19184, 538, 519, 1295, 1027, 13342, 269, 590, 2246, 2946, 2394, 11344, 6960, 855, 581, 6297, 711, 547, 6633, 621, 256, 8738, 660, 13342, 666, 6492, 15280, 563, 825, 454, 567, 536, 269, 1879, 707, 10051, 6238, 1159, 2454, 899, 6095, 5585, 344, 13140, 267, 2569, 519, 3002, 5594, 543, 3575, 538, 519, 8645, 10381, 18695, 269, 853, 597, 9900, 2394, 519, 8645, 10381, 2571, 839, 543, 3587, 5347, 563, 825, 454, 567, 524, 269, 3767, 1577, 781, 3142, 593, 519, 8126, 1465, 256, 5410, 835, 7484, 540, 11877, 8645, 547, 519, 3443, 543, 13489, 1134, 865, 3388, 10905, 23182, 563, 825, 454, 567, 546, 269, 32449, 538, 519, 3003, 20220, 540, 521, 1023, 320, 2357, 1372, 269, 898, 1522, 1413, 6204, 6853, 693, 1101, 267, 855, 1810, 1405, 5855, 282, 649, 2811, 4946, 1945, 9589, 4166, 1862, 3832, 3150, 2336, 825, 454, 567, 552, 269, 14109, 30257, 1312, 5686, 540, 27054, 4765, 10381, 14961, 2066, 519, 7848, 269, 5901, 28817, 7444, 2394, 519, 10381, 4628, 5283, 1206, 543, 5932, 513, 561, 639, 19290, 27598, 9403, 269, 1403, 596, 9364, 899, 547, 24996, 1919, 909, 267, 1039, 1346, 22872, 795, 531, 1901, 10722, 657, 1631, 2336, 825, 454, 567, 535, 269, 12315, 621, 513, 3803, 6492, 1449, 269, 10261, 811, 6070, 286, 17797, 9935, 269, 1809, 3314, 267, 519, 16702, 781, 10366, 786, 14556, 1518, 607, 621, 3579, 338, 1524, 780, 306, 2925, 713, 22023, 626, 1043, 844, 525, 334, 609, 5743, 6853, 12475, 8759, 13365, 610, 17724, 773, 16853, 585, 1019, 6137, 269, 15188, 2451, 13569, 630, 604, 972, 616, 1022, 14386, 538, 606, 2011, 31259, 8708, 538, 519, 26806, 585, 909, 547, 1614, 2395, 269, 1677, 556, 17742, 267, 1402, 621, 1394, 538, 513, 3636, 1236, 32576, 610, 17196, 2394, 979, 4141, 344, 1586, 269, 17949, 2439, 21841, 715, 778, 657, 281, 12706, 2659, 13574, 9457, 12328, 692, 272, 269, 11814, 707, 5172, 547, 25940, 912, 567, 910, 32202, 8759, 13365, 454, 567, 910, 4676, 3072, 10365, 610, 3109, 10365, 454, 567, 910, 1744, 1042, 4765, 9269, 610, 2666, 14132, 267, 11273, 543, 19023, 609, 512, 23147, 4005, 532, 454, 567, 910, 12397, 737, 1716, 1564, 267, 27071, 952, 27574, 454, 567, 910, 932, 641, 6244, 14274, 454, 567, 910, 590, 997, 539, 10153, 1161, 454, 567, 910, 667, 5367, 2699, 19637, 454, 567, 910, 2871, 659, 600, 1961, 610, 30000, 25636, 454, 567, 910, 590, 712, 8645, 454, 567, 910, 717, 3603, 10381, 630, 3481, 323, 541, 267, 3933, 614, 9445, 10793, 267, 610, 6809, 5336, 1410, 11100, 960, 1390, 994, 567, 910, 8838, 1308, 281, 795, 531, 1901, 10722, 657, 267, 521, 1023, 320, 267, 610, 824, 5551, 21959, 8460, 692, 273, 269, 1306, 14517, 707, 2706, 562, 778, 657, 912, 567, 513, 269, 2776, 17742, 707, 14089, 547, 476, 6110, 13790, 630, 13078, 9180, 1040, 28081, 12475, 8759, 13365, 593, 513, 11256, 6656, 20898, 609, 533, 1105, 618, 1957, 610, 11956, 23240, 269, 5269, 2386, 519, 13365, 16937, 30194, 547, 2061, 521, 17344, 1465, 563, 825, 454, 567, 536, 269, 5384, 547, 4494, 256, 4634, 569, 15814, 1201, 3072, 10365, 267, 11273, 5779, 267, 543, 8970, 936, 519, 13365, 269, 9255, 873, 896, 519, 2156, 8814, 585, 476, 274, 268, 276, 3764, 610, 2394, 12699, 998, 269, 13772, 5702, 547, 2327, 1100, 8781, 4386, 563, 825, 454, 567, 524, 269, 17179, 519, 26745, 689, 519, 14089, 5402, 1210, 14089, 5378, 1206, 269, 15147, 519, 6106, 609, 1989, 730, 10381, 1247, 1869, 3905, 865, 621, 5283, 1206, 3362, 269, 17776, 547, 519, 14089, 585, 1776, 476, 273, 268, 274, 3764, 2394, 519, 10381, 7140, 11164, 29087, 543, 11344, 6960, 563, 825, 454, 567, 546, 269, 7053, 267, 30164, 707, 20100, 676, 20057, 1782, 22872, 14274, 267, 30000, 10153, 1161, 267, 546, 5367, 2699, 19637, 267, 1368, 659, 600, 1961, 267, 543, 11877, 8645, 593, 1283, 269, 18461, 1863, 547, 21160, 1759, 593, 2123, 7375, 543, 8192, 2115, 269, 31160, 5612, 543, 2007, 883, 519, 17175, 1623, 21620, 540, 16919, 2439, 3086, 602, 596, 917, 875, 547, 627, 760, 909, 891, 9735, 11204, 12608, 9088, 267, 16436, 2828, 543, 1920, 936, 585, 513, 12300, 535, 625, 3279, 4904, 609, 17409, 267, 1187, 7391, 267, 543, 6909, 1426, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 2461, 10478, 585, 1007, 10346, 585, 707, 1985, 28037, 1723, 632, 25832, 535, 625, 3279, 267, 713, 1592, 540, 11204, 12608, 9088, 814, 596, 4988, 563, 5804, 8970, 19997, 543, 986, 329, 553, 598, 1212, 2742, 547, 562, 778, 657, 543, 9910, 1532, 584, 761, 657, 267, 891, 2757, 11204, 8286, 616, 15983, 8106, 596, 1616, 547, 3605, 269, 5213, 1406, 7340, 827, 546, 2354, 1107, 1932, 563, 5472, 540, 891, 10346, 616, 2653, 547, 1118, 267, 14095, 609, 8137, 267, 543, 789, 3580, 1832, 707, 14538, 4947, 1394, 585, 811, 563, 1432, 779, 519, 3501, 9311, 2939, 585, 12475, 8759, 13365, 286, 901, 22925, 844, 525, 334, 563, 763, 8645, 10381, 543, 11877, 8645, 1118, 713, 16702, 522, 4141, 344, 30559, 4141, 344, 543, 8949, 269, 1656, 519, 521, 1023, 320, 2357, 1372, 543, 795, 531, 777, 523, 334, 18717, 2285, 621, 513, 14736, 563, 2005, 779, 2731, 2653, 267, 1932, 269, 3807, 6960, 519, 13342, 543, 1039, 519, 1964, 540, 519, 5820, 547, 519, 3443, 563, 10190, 1118, 2386, 519, 10381, 568, 24268, 267, 543, 596, 2461, 1434, 547, 979, 269, 1924, 267, 1930, 513, 9126, 540, 13365, 543, 1205, 1019, 6137, 563, 6349, 269, 715, 778, 657, 10966, 454, 8170, 782, 519, 11204, 12608, 6500, 10346, 585, 513, 535, 625, 3279, 267, 562, 778, 657, 616, 15069, 519, 5929, 3903, 563, 3383, 1205, 6273, 543, 4584, 707, 5172, 547, 25940, 547, 1628, 519, 10700, 968, 338, 1575, 3153, 892, 562, 778, 657, 269, 11110, 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, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 1185, 513, 11315, 1554, 19108, 269, 1548, 5949, 2496, 7692, 281, 7937, 267, 28624, 7705, 269, 23010, 267, 621, 729, 9157, 269, 2368, 7853, 2228, 5206, 930, 1611, 1919, 827, 803, 267, 1256, 1498, 789, 1810, 1406, 2731, 917, 803, 780, 8334, 281, 2334, 4992, 10413, 995, 269, 1809, 798, 596, 1589, 596, 917, 945, 713, 1268, 568, 610, 952, 789, 2461, 1373, 9237, 827, 741, 3961, 2496, 7692, 281, 3143, 267, 594, 1810, 1406, 269, 1358, 941, 15720, 3297, 513, 16995, 27024, 780, 8334, 281, 13259, 267, 865, 789, 941, 4440, 3843, 547, 581, 20822, 269, 1411, 1294, 267, 3006, 1004, 2161, 1919, 8335, 950, 789, 666, 12404, 945, 789, 616, 269, 901, 1522, 1118, 873, 3100, 2909, 591, 982, 789, 2965, 616, 267, 799, 666, 1291, 547, 15490, 8292, 610, 10385, 780, 7692, 281, 1924, 1018, 666, 649, 1451, 689, 713, 286, 1215, 666, 594, 4308, 609, 971, 3871, 1732, 2496, 8334, 281, 4270, 267, 1101, 569, 267, 3314, 602, 3025, 2306, 9073, 267, 1519, 6000, 269, 16871, 938, 20541, 687, 543, 9363, 3020, 547, 6000, 786, 948, 721, 1332, 6793, 543, 5923, 518, 269, 1879, 2576, 10404, 3278, 596, 1510, 6616, 519, 2898, 1650, 267, 2119, 707, 1655, 547, 3251, 9350, 543, 2015, 2436, 972, 779, 1022, 5168, 547, 741, 9880, 269, 1403, 972, 3884, 1406, 267, 1287, 3274, 1577, 979, 540, 1346, 2942, 4555, 269, 5213, 1406, 2285, 1866, 519, 1379, 547, 1852, 707, 4664, 780, 7692, 281, 20944, 621, 269, 1656, 1018, 827, 1210, 20822, 6589, 8885, 286, 9701, 594, 2057, 3257, 602, 1932, 2496, 8334, 281, 3502, 8209, 269, 1703, 1223, 581, 4570, 4128, 585, 16462, 547, 2611, 20822, 267, 899, 4687, 6213, 1344, 1247, 1869, 7863, 3054, 269, 1717, 267, 2141, 1832, 538, 2247, 602, 7446, 26687, 640, 949, 1860, 875, 824, 1004, 13498, 707, 5048, 269, 9861, 1930, 543, 8076, 2356, 5012, 547, 8902, 5717, 543, 4296, 609, 1866, 780, 7692, 281, 3767, 594, 1174, 269, 1635, 8508, 938, 20541, 687, 543, 8026, 13597, 267, 649, 666, 6536, 2318, 4205, 1312, 2228, 543, 22356, 269, 8729, 585, 7713, 3388, 267, 7705, 2439, 8334, 281, 2986, 1576, 267, 6126, 547, 948, 256, 5457, 267, 11587, 2509, 13951, 543, 1866, 4422, 513, 1279, 1259, 538, 2679, 2178, 17052, 543, 1582, 21873, 269, 5620, 513, 1390, 1554, 267, 7585, 2439, 7692, 281, 1411, 1932, 267, 7705, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 20822, 2912, 3218, 543, 519, 27559, 540, 519, 4950, 454, 1103, 513, 1158, 2220, 9879, 609, 20822, 9739, 267, 16213, 10007, 689, 519, 3106, 540, 519, 5769, 781, 4837, 8075, 814, 1831, 606, 796, 3553, 339, 1782, 2250, 830, 269, 898, 568, 2653, 547, 1780, 27790, 950, 835, 568, 6456, 3297, 513, 1654, 559, 540, 26687, 640, 269, 2290, 991, 711, 4250, 519, 29854, 540, 741, 1913, 950, 789, 1129, 741, 6898, 267, 711, 609, 741, 1378, 2012, 267, 855, 609, 606, 2150, 15869, 762, 15554, 7716, 269, 23738, 24312, 6340, 267, 519, 1152, 2601, 512, 2651, 338, 1745, 2377, 1245, 2989, 547, 1780, 27790, 593, 1004, 789, 917, 4986, 827, 568, 1813, 547, 519, 8825, 13104, 540, 26687, 640, 269, 634, 957, 540, 15738, 11263, 3587, 811, 5493, 23534, 950, 519, 1688, 602, 2798, 568, 15865, 563, 763, 19060, 547, 27790, 543, 519, 771, 323, 664, 585, 5013, 454, 1103, 519, 3731, 5198, 540, 2486, 543, 1514, 2923, 267, 519, 19060, 547, 27790, 267, 5103, 1350, 2130, 9475, 538, 1620, 267, 814, 1831, 513, 20468, 7678, 269, 634, 5013, 540, 513, 3510, 616, 1419, 16053, 267, 14894, 539, 593, 519, 26749, 540, 2123, 9186, 267, 1175, 547, 3049, 519, 7301, 2631, 540, 27166, 269, 2755, 519, 4998, 521, 576, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21615, 571, 1424, 14087, 325, 1254, 543, 24956, 30008, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 9608, 12618, 1315, 19732, 1465, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 3848, 476, 1015, 281, 8212, 15369, 3244, 2827, 538, 6732, 16629, 3626, 10632, 692, 5970, 596, 2479, 5129, 5691, 3756, 1141, 596, 1223, 3802, 1472, 513, 9589, 1158, 610, 9496, 30659, 286, 2107, 5310, 596, 4312, 6836, 707, 1688, 693, 606, 2228, 7688, 3014, 827, 2831, 610, 1686, 269, 1809, 1018, 4523, 950, 649, 9192, 1483, 8996, 6323, 609, 2780, 5752, 547, 1711, 3076, 601, 833, 2833, 899, 1346, 1336, 538, 2228, 8732, 16394, 286, 2913, 781, 4685, 883, 713, 4241, 1523, 1572, 834, 874, 12695, 2861, 11191, 15323, 5331, 1373, 2111, 547, 3643, 513, 3059, 20098, 30988, 1318, 689, 707, 2713, 4055, 256, 2334, 781, 835, 540, 519, 1082, 5863, 7399, 6035, 676 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12255, 29219, 4970, 492, 22287, 499, 12916, 491, 8147, 28032, 489, 417, 28187, 16088, 1015, 290, 16043, 500, 1015, 293, 5073, 1038, 10917, 815, 3403, 3488, 27962, 420, 481, 484, 27447, 24662, 12916, 510, 7511, 29219, 16088, 5073, 1038, 952, 10917, 269, 1742, 5976, 2891, 290, 8442, 610, 10917, 269, 1742, 5976, 2891, 322, 257, 2187, 2018, 10917, 293, 815, 10581, 6025, 11391, 11468, 268, 272, 8079, 265, 272, 269, 279, 266, 3953, 454, 2018, 1820, 6600, 262, 346, 31184, 11468, 268, 272, 316, 348, 418, 495, 482, 418, 364, 493, 18021, 355, 2652, 2715, 31184, 293, 348, 22287, 492, 418, 364, 493, 18021, 355, 5073, 2018, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 2018, 952, 733, 328, 2652, 1412, 344, 12466, 3546, 3136, 454, 2018, 3116, 10778, 3546, 8520, 815, 8771, 454, 3546, 1820, 4590, 3546, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 1038, 8640, 10917, 269, 1742, 5976, 2891, 293, 8442, 610, 10917, 269, 1742, 5976, 2891, 325, 257, 2187, 2018, 10917, 290, 815, 630, 15615, 6025, 11391, 11468, 268, 272, 8079, 268, 3953, 264, 1315, 476, 272, 269, 279, 454, 2018, 1820, 6600, 262, 346, 31184, 11468, 268, 272, 316, 348, 22287, 492, 418, 364, 493, 18021, 355, 2652, 2715, 31184, 290, 348, 418, 495, 482, 418, 364, 493, 18021, 355, 10807, 11434, 454, 2018, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 2018, 952, 733, 328, 2652, 1412, 344, 12466, 3546, 3136, 454, 2018, 3116, 10778, 3546, 8520, 815, 8771, 454, 3546, 1820, 4590, 3546, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 1038, 3116, 912, 2018, 1820, 2891, 27447, 417, 499, 354, 27064, 358, 418, 482, 493, 417, 495, 351, 8147, 16043, 495, 21251, 18777, 353, 13644, 484, 257, 9239, 825, 8640, 3903, 2652, 273, 281, 672, 1948, 514, 577, 13127, 23687, 9492, 454, 1038, 1820, 4590, 1038, 1820, 3488, 418, 479, 511, 417, 500, 506, 12916, 510, 20881, 487, 418, 489, 358, 29072, 315, 257, 420, 489, 365, 10254, 370, 421, 499, 379, 18021, 355, 4970, 492, 18713, 377, 30522, 483, 22287, 499, 12916, 491, 421, 499, 379, 18021, 355, 420, 377, 361, 29004, 351, 315, 257, 8147, 13644, 371, 27447, 24662, 28884, 420, 377, 361, 29004, 351, 7511, 12255, 29219, 4970, 492, 22287, 499, 12916, 491, 8147, 25203, 362, 31176, 491, 418, 498, 363, 418, 490, 479, 22287, 499, 12916, 491, 16088, 514, 10264, 4699, 544, 5073, 1038, 10917, 815, 3403, 3488, 27962, 420, 481, 484, 27447, 24662, 12916, 510, 7511, 29219, 16088, 5073, 1038, 952, 10917, 269, 1742, 5976, 2891, 514, 257, 2187, 2018, 10759, 815, 10581, 6025, 11391, 11468, 268, 273, 7481, 2018, 4699, 815, 10759, 265, 273, 269, 7918, 454, 2018, 544, 815, 4699, 1315, 1911, 454, 2018, 1820, 6600, 257, 346, 1037, 263, 514, 577, 267, 274, 14587, 420, 489, 365, 21382, 372, 2652, 2715, 1037, 6262, 332, 267, 274, 14587, 31308, 502, 30830, 367, 2652, 2715, 1037, 9852, 267, 274, 14587, 30830, 367, 5602, 2018, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 2018, 952, 733, 328, 2652, 1412, 344, 12466, 3546, 3136, 454, 2018, 3116, 10778, 3546, 8520, 815, 8771, 454, 3546, 1820, 4590, 3546, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 1038, 952, 10917, 269, 1742, 5976, 3488, 1111, 262, 2187, 2018, 10264, 815, 10581, 6025, 11391, 11468, 268, 273, 7481, 2018, 544, 815, 476, 271, 269, 25134, 265, 1111, 3097, 2018, 4699, 815, 476, 1911, 265, 332, 454, 2018, 1820, 6600, 257, 346, 1037, 263, 1111, 267, 274, 14587, 420, 489, 365, 16533, 374, 2652, 2715, 1037, 6262, 332, 267, 274, 14587, 31308, 502, 30830, 367, 2652, 2715, 1037, 9852, 267, 274, 14587, 30830, 367, 5602, 2018, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 2018, 952, 733, 328, 2652, 1412, 344, 12466, 3546, 3136, 454, 2018, 3116, 10778, 3546, 8520, 815, 8771, 454, 3546, 1820, 4590, 3546, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 1038, 952, 10917, 269, 1742, 5976, 3488, 332, 262, 2187, 2018, 952, 10917, 269, 1742, 5976, 2891, 9492, 257, 2187, 3546, 4699, 815, 10581, 6025, 11391, 11468, 268, 273, 7481, 3546, 544, 815, 4699, 1315, 476, 1911, 454, 3546, 10759, 815, 4699, 270, 273, 269, 7918, 454, 3546, 10264, 815, 10759, 1315, 476, 1321, 454, 3546, 1820, 6600, 257, 346, 1037, 6262, 332, 267, 274, 14587, 31308, 502, 30830, 367, 2652, 2715, 1037, 263, 514, 577, 267, 274, 14587, 420, 489, 365, 21382, 372, 2652, 2715, 1037, 263, 1111, 267, 274, 14587, 420, 489, 365, 16533, 374, 5602, 3546, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 3546, 952, 733, 328, 2652, 1412, 344, 12466, 7386, 3136, 454, 3546, 3116, 10778, 7386, 8520, 815, 8771, 454, 7386, 1820, 4590, 7386, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 2018, 8640, 10917, 269, 1742, 5976, 2891, 332, 257, 2187, 3546, 544, 815, 10581, 6025, 11391, 11468, 268, 272, 7481, 3546, 4699, 815, 476, 1911, 265, 332, 454, 3546, 10759, 815, 4699, 270, 273, 269, 7918, 454, 3546, 10264, 815, 10759, 1315, 476, 1321, 454, 3546, 1820, 6600, 257, 346, 1037, 9852, 267, 274, 14587, 30830, 367, 2652, 2715, 1037, 263, 514, 577, 267, 274, 14587, 420, 489, 365, 21382, 372, 2652, 2715, 1037, 263, 1111, 267, 274, 14587, 420, 489, 365, 16533, 374, 8442, 825, 454, 3546, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 3546, 952, 733, 328, 2652, 1412, 344, 12466, 7386, 3136, 454, 3546, 3116, 10778, 7386, 8520, 815, 8771, 454, 7386, 1820, 4590, 7386, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 15419, 825, 8640, 3903, 2652, 274, 912, 1038, 1820, 4590, 1038, 1820, 3488, 418, 479, 511, 417, 500, 506, 12916, 510, 20881, 487, 418, 489, 358, 29072, 315, 257, 419, 378, 492, 30317, 4970, 492, 32512, 418, 364, 495, 27747, 479, 420, 377, 361, 29004, 351, 315, 257, 20693, 509, 420, 25693, 8147, 13644, 371, 27447, 24662, 12916, 510, 28884, 29004, 351, 28997, 501, 12916, 510, 7511, 421, 496, 365, 8147, 417, 28187, 1015, 4785, 291, 610, 476, 1015, 305, 11586, 5073, 1038, 10917, 815, 3403, 3488, 27962, 420, 481, 484, 27447, 24662, 12916, 510, 7511, 421, 496, 365, 16088, 5073, 1038, 952, 10917, 269, 1742, 5976, 3488, 639, 323, 10807, 610, 10917, 269, 1742, 5976, 2891, 4785, 291, 257, 2187, 2018, 2724, 815, 10581, 6025, 11391, 11468, 268, 274, 8079, 1315, 277, 269, 31229, 280, 454, 2018, 1820, 6600, 262, 346, 31184, 348, 2652, 2715, 1037, 9852, 2292, 267, 274, 14587, 305, 11586, 5073, 2018, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 2018, 952, 733, 328, 2652, 1412, 344, 12466, 3546, 3136, 454, 2018, 3116, 10778, 3546, 8520, 815, 8771, 454, 3546, 1820, 4590, 3546, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 1038, 952, 10917, 269, 1742, 5976, 3488, 337, 3387, 10807, 610, 10917, 269, 1742, 5976, 2891, 305, 11586, 257, 2187, 2018, 2724, 815, 10581, 6025, 11391, 11468, 268, 274, 8079, 2608, 476, 277, 269, 31229, 280, 454, 2018, 1820, 6600, 262, 346, 31184, 348, 2652, 2715, 1037, 9852, 2292, 267, 274, 14587, 4785, 291, 5073, 2018, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 2018, 952, 733, 328, 2652, 1412, 344, 12466, 3546, 3136, 454, 2018, 3116, 10778, 3546, 8520, 815, 8771, 454, 3546, 1820, 4590, 3546, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 8931, 825, 8640, 3903, 2652, 476, 275, 912, 1038, 8520, 815, 8771, 454, 1038, 1820, 4590, 1038, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 825, 3116, 912, 1038, 1820, 2891, 419, 486, 372, 419, 486, 372, 21251, 18777, 353, 13644, 484, 15419, 19638, 19638, 7531, 0, 2971, 2162, 7473, 293, 268, 279, 454, 258, 9339, 421, 509, 358, 420, 490, 481, 420, 354, 379, 24731, 417, 497, 479, 454, 258, 1001, 280, 268, 279, 268, 272, 692, 5814, 942, 454, 31467, 815, 6936, 454, 16694, 815, 31460, 6112, 8520, 912, 825, 1820, 4590, 825, 1820, 2891, 21228, 21228, 318, 5602, 825, 1820, 3488, 16043, 495, 15159, 22047, 14035, 485, 417, 379, 502, 25051, 499, 8147, 14035, 485, 417, 379, 502, 10951, 361, 30903, 484, 19764, 374, 8339, 22487, 263, 2412, 2437, 6889, 11723, 825, 952, 7003, 3799, 1774, 264, 2652, 476, 271, 912, 1038, 1820, 2891, 27064, 364, 21928, 12916, 510, 7511, 14035, 485, 417, 379, 502, 25051, 499, 15159, 419, 358, 374, 7511, 8147, 417, 379, 360, 19540, 503, 30536, 417, 499, 354, 417, 499, 488, 5405, 479, 5602, 1038, 1820, 4590, 825, 3116, 10778, 1038, 1820, 6600, 257, 27064, 364, 21928, 10429, 365, 20069, 346, 6352, 3799, 1774, 14587, 23521, 350, 14035, 485, 417, 379, 502, 16088, 5602, 1038, 1820, 4590, 1038, 1496, 2745, 6600, 262, 346, 4486, 348, 18998, 12916, 510, 28884, 21928, 346, 7407, 314, 271, 316, 348, 7511, 28793, 22390, 503, 8147, 21928, 346, 7407, 314, 272, 316, 2410, 7407, 314, 273, 316, 348, 10807, 585, 1883, 267, 1871, 538, 4063, 29096, 3890, 2639, 1038, 1820, 4590, 825, 1820, 2891, 21228, 21228, 318, 5602, 825, 3903, 815, 3403, 2891, 272, 18998, 19540, 503, 30536, 417, 499, 354, 476, 273, 18998, 10254, 510, 30536, 417, 499, 354, 476, 476, 274, 18998, 418, 503, 374, 420, 25693, 13644, 484, 10254, 360, 476, 275, 18998, 20881, 478, 24731, 8147, 27962, 420, 481, 484, 13644, 368, 24731, 12916, 510, 7511, 20881, 487, 418, 489, 358, 15159, 16088, 5602, 825, 952, 3903, 2652, 1412, 272, 262, 10778, 1038, 4266, 815, 3403, 2891, 28793, 25426, 368, 16088, 5602, 1038, 1327, 7159, 517, 815, 3403, 2891, 17295, 364, 30536, 16088, 5602, 1038, 3364, 815, 3403, 3488, 12916, 510, 421, 25693, 418, 481, 367, 23946, 366, 417, 499, 354, 16088, 5073, 1038, 1883, 815, 1193, 12759, 3799, 1774, 11924, 272, 994, 1038, 4063, 314, 4486, 316, 17342, 11845, 267, 32643, 7159, 517, 267, 2251, 2639, 1038, 1948, 1496, 2745, 5416, 14720, 264, 585, 513, 14720, 538, 4063, 29096, 3890, 2639, 1038, 1948, 1820, 12759, 3799, 1774, 4917, 1038, 3136, 692, 825, 952, 3903, 2652, 834, 273, 13426, 1038, 952, 7003, 3799, 1774, 264, 2525, 271, 912, 2018, 1820, 2891, 418, 366, 350, 4970, 506, 420, 354, 379, 417, 496, 489, 10254, 510, 30522, 353, 417, 499, 488, 263, 274, 338, 12571, 492, 13213, 498, 18713, 508, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 24442, 6807, 267, 5030, 1079, 1655, 2828, 910, 15207, 519, 15529, 543, 22123, 519, 29160, 269, 1358, 6068, 3695, 519, 1158, 1472, 873, 543, 1565, 1007, 1919, 1169, 1554, 269, 2290, 13566, 12784, 267, 789, 1336, 513, 2594, 593, 519, 2666, 1247, 4730, 2282, 519, 4104, 269, 898, 729, 606, 2025, 24064, 2643, 2582, 540, 513, 5152, 1572, 1412, 12024, 513, 9605, 9538, 1306, 4166, 607, 789, 5116, 519, 13549, 5196, 519, 18343, 1167, 267, 789, 4862, 519, 18405, 267, 968, 12024, 513, 3595, 8781, 538, 1250, 9997, 892, 14578, 538, 519, 669, 11501, 269, 901, 17279, 533, 31985, 741, 7279, 2439, 20755, 3240, 4280, 22123, 267, 968, 3963, 1281, 519, 22256, 1832, 6031, 2048, 12024, 513, 3595, 8781, 538, 1250, 9997, 286, 6496, 333, 1405, 1352, 917, 875, 1082, 2053, 1352, 814, 2907, 1767, 621, 9495, 3911, 4979, 267, 22123, 6045, 267, 968, 20755, 3240, 267, 950, 649, 5873, 1945, 936, 1586, 267, 899, 891, 1913, 538, 519, 5152, 267, 621, 2337, 721, 3314, 873, 1732, 269, 2334, 781, 835, 2601, 1946, 519, 22256, 8952, 18110, 1346, 3515, 256, 10640, 306, 958, 4797, 267, 968, 2467, 781, 811, 1932, 256, 769, 938, 12271, 267, 649, 1745, 1978, 1919, 1107, 2648, 267, 8788, 267, 610, 18354, 267, 799, 666, 3006, 1332, 6793, 267, 1175, 899, 513, 6263, 8141, 4742, 513, 2462, 18723, 269, 1879, 519, 22256, 3081, 2048, 12024, 513, 3595, 8781, 538, 1250, 9997, 16224, 621, 1797, 1200, 4606, 616, 3478, 6793, 267, 3395, 8273, 3330, 1200, 2295, 15323, 2026, 789, 19557, 2417, 267, 789, 8068, 602, 1142, 942, 519, 22256, 7368, 519, 1899, 267, 1200, 5639, 32131, 1256, 811, 13730, 982, 1354, 256, 15207, 31113, 3773, 267, 968, 2005, 4667, 547, 803, 602, 8164, 1352, 521, 902, 1346, 2027, 1913, 267, 782, 519, 7405, 1404, 21514, 1457, 543, 5488, 1932, 256, 594, 1589, 6148, 713, 2306, 3025, 6947, 4952, 519, 3595, 3478, 28555, 543, 17321, 256, 10640, 5475, 6217, 519, 3003, 5152, 267, 1312, 2831, 941, 27086, 676, 922, 1379, 543, 7553, 269, 1809, 1287, 3357, 606, 6397, 31830, 540, 2842, 602, 6926, 342, 2476, 519, 10475, 2594, 267, 695, 30568, 621, 883, 4773, 269, 9282, 25922, 267, 15207, 6743, 909, 543, 4718, 8673, 8375, 1164, 1657, 519, 4054, 7404, 269, 1261, 7691, 602, 2470, 3294, 1223, 1118, 4190, 4992, 543, 2984, 1510, 1022, 5638, 267, 7586, 4328, 1010, 7071, 585, 519, 2067, 1158, 269, 8625, 267, 15207, 543, 22123, 4121, 602, 930, 8090, 4734, 8823, 1454, 4514, 982, 1866, 267, 2436, 6592, 610, 3274, 4810, 538, 519, 14246, 540, 519, 1483, 1158, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 27855, 519, 946, 540, 17279, 538, 519, 669, 11501, 540, 834, 12024, 513, 9605, 257, 543, 922, 1909, 538, 10771, 519, 3929, 8515, 540, 519, 5152, 563, 296, 798, 711, 723, 2123, 4664, 267, 855, 1775, 666, 1683, 513, 2796, 16250, 23018, 2626, 547, 707, 2243, 269, 8528, 514, 519, 669, 11501, 540, 834, 3697, 513, 3595, 2437, 519, 8360, 834, 3697, 513, 3595, 8781, 538, 1250, 9997, 257, 568, 7368, 1896, 2053, 269, 713, 17279, 11363, 519, 3929, 8515, 540, 519, 5152, 676, 2870, 513, 2631, 540, 23473, 543, 6612, 269, 607, 519, 1913, 616, 7368, 267, 519, 8515, 540, 519, 2575, 543, 13047, 6765, 849, 4679, 267, 4946, 547, 519, 3929, 1764, 269, 519, 17279, 540, 519, 8360, 849, 25040, 922, 3844, 5048, 540, 1373, 10057, 676, 606, 7920, 4743, 267, 1818, 621, 513, 12300, 543, 3532, 13622, 585, 519, 26575, 269, 676, 18110, 519, 8360, 267, 519, 5152, 781, 3929, 8515, 568, 15398, 543, 519, 669, 11501, 3587, 606, 20605, 4090, 1369, 519, 5152, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15919, 267, 1256, 1498, 1004, 6836, 547, 960, 1927, 23182, 267, 7440, 1869, 5949, 269, 1809, 1810, 1406, 5855, 282, 8797, 3401, 22283, 909, 547, 948, 7017, 13882, 25678, 269, 3807, 899, 950, 631, 20207, 610, 667, 23098, 2337, 596, 4194, 2695, 629, 7632, 936, 9162, 267, 1346, 3401, 1500, 3664, 1759, 593, 14619, 543, 2463, 269, 1635, 2324, 856, 3604, 9425, 267, 3025, 5433, 4862, 267, 12595, 267, 543, 6870, 780, 4517, 1631, 621, 779, 22400, 2490, 256, 5994, 1373, 835, 540, 700, 11035, 267, 22513, 267, 610, 808, 11047, 710, 781, 24968, 269, 9523, 707, 4555, 593, 713, 9735, 942, 676, 16460, 891, 2055, 1384, 265, 1403, 9358, 1223, 16436, 4896, 689, 1686, 547, 3643, 519, 4677, 1282, 476, 6942, 278, 268, 6245, 279, 267, 945, 1131, 621, 581, 286, 4208, 1705, 596, 3442, 873, 888, 265, 14674, 21450, 1259, 596, 666, 15562, 22664, 1945, 8799, 2221, 547, 3142, 7772, 547, 1776, 1268, 563, 265, 6056, 540, 513, 29376, 292, 950, 596, 17251, 513, 24895, 25678, 269, 1215, 1705, 621, 1745, 26063, 2496, 23558, 256, 1411, 723, 6192, 519, 1412, 310, 1301, 268, 10000, 262, 1770, 2407, 540, 11505, 267, 9316, 267, 543, 1620, 269, 8921, 942, 267, 6443, 721, 1586, 538, 519, 9059, 4677, 585, 811, 3078, 9035, 998, 1977, 3778, 256, 5457, 267, 2141, 2661, 1272, 609, 18512, 7279, 267, 10027, 880, 707, 5191, 267, 543, 11654, 8788, 3232, 256, 0, 8620, 513, 1187, 543, 2241, 552, 19543, 9074, 593, 1412, 16908, 267, 23068, 267, 543, 519, 623, 2720, 3726, 540, 19732, 1465, 3299, 3358, 585, 476, 276, 547, 476, 1015, 1032, 6040, 1453, 269, 8838, 585, 513, 22488, 543, 19511, 1935, 267, 5078, 585, 1360, 1762, 6267, 563, 2171, 616, 1603, 593, 3184, 1412, 6942, 278, 1700, 6245, 279, 8339, 769, 1880, 267, 3296, 1412, 27077, 493, 20804, 5149, 476, 276, 4828, 11314, 262, 540, 1412, 6942, 278, 1700, 6245, 279, 262, 851, 269, 3503, 513, 1007, 1770, 11331, 1412, 296, 269, 24953, 268, 10000, 262, 780, 1103, 713, 9074, 585, 1762, 1453, 267, 2832, 547, 1384, 268, 2422, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 276, 4458, 6040, 1131, 3362, 1174, 267, 9319, 1022, 1950, 2035, 610, 2930, 2474, 563, 268, 15681, 513, 2110, 267, 2502, 1650, 609, 10477, 20419, 3197, 269, 1280, 3236, 267, 547, 9414, 2804, 4123, 2035, 946, 3197, 899, 2831, 610, 7874, 7068, 9467, 16152, 610, 9162, 269, 6271, 1383, 568, 1840, 543, 11810, 267, 946, 13212, 547, 2491, 281, 1412, 273, 13212, 1341, 476, 274, 13212, 815, 476, 276, 13212, 262, 4586, 268, 5901, 519, 3159, 1769, 267, 28292, 267, 543, 8716, 269, 1684, 711, 946, 2592, 269, 0, 634, 4055, 729, 18388, 532, 609, 24736, 607, 519, 5993, 17912, 16635, 27169, 14736, 539, 1055, 538, 11968, 13353, 269, 1160, 3027, 619, 267, 19971, 267, 543, 2733, 12781, 689, 782, 936, 519, 1158, 1185, 10356, 547, 1865, 519, 5767, 3466, 543, 2591, 538, 519, 2872, 269, 7324, 873, 941, 23436, 267, 606, 4810, 16073, 1634, 585, 1200, 16994, 3750, 585, 13007, 267, 543, 4460, 267, 513, 1762, 543, 16529, 2733, 12460, 3843, 547, 1118, 1010, 1665, 538, 519, 1870, 780, 2026, 789, 2893, 1524, 585, 6995, 267, 23436, 4280, 4460, 875, 646, 14059, 10188, 519, 1950, 5251, 540, 4670, 15976, 269, 1261, 14452, 267, 968, 2414, 581, 9237, 267, 594, 1745, 16397, 676, 519, 22406, 1297, 540, 15976, 856, 972, 269, 1215, 798, 596, 917, 799, 3283, 547, 3442, 9495, 692, 299, 13453, 10709, 539, 1394, 543, 3576, 513, 521, 760, 540, 1200, 4235, 1354, 16460, 269, 968, 10932, 568, 1883, 2223, 1352, 1767, 269, 968, 2791, 1616, 547, 1265, 15976, 602, 5447, 609, 707, 9135, 267, 3898, 267, 543, 6249, 269, 6733, 585, 3283, 602, 723, 513, 3950, 2594, 540, 15386, 8874, 899, 16523, 610, 723, 513, 10639, 585, 5009, 5499, 1568, 14325, 15812, 21330, 24617, 269, 968, 3719, 1018, 952, 649, 2461, 1869, 18516, 1310, 3257, 938, 1382, 286, 1215, 798, 649, 2333, 938, 8458, 540, 3478, 5697, 9495, 692, 299, 13453, 20493, 521, 569, 569, 269, 968, 15187, 11529, 568, 1898, 269, 29934, 607, 1082, 2621, 607, 2009, 1107, 29468, 267, 11925, 267, 15483, 18571, 6105, 269, 1411, 2760, 917, 945, 596, 1522, 2743, 269, 898, 1223, 581, 513, 27732, 5461, 538, 707, 1788, 267, 610, 1776, 3318, 8348, 547, 12840, 593, 2104, 18129, 14325, 9515, 17328, 4310, 585, 8561, 269, 968, 4517, 2141, 3314, 267, 891, 4296, 666, 1291, 547, 811, 982, 1175, 25926, 282, 789, 666, 1930, 9885, 547, 1007, 12352, 543, 7399, 14325, 15812, 795, 582, 1540, 1524, 4967, 9663, 13124, 267, 5693, 27278, 676, 23436, 779, 4030, 269, 3973, 267, 15175, 24039, 267, 646, 15054, 1776, 2243, 269, 968, 4131, 779, 2161, 649, 1205, 883, 513, 13037, 269, 1548, 1287, 286, 3807, 6029, 909, 3884, 1406, 2614, 267, 1318, 9495, 692, 299, 13453, 8815, 900, 874, 5597, 269, 968, 27028, 5193, 569, 269, 15613, 4249, 513, 1713, 1909, 1934, 1932, 269, 6056, 827, 1141, 596, 1616, 707, 4670, 547, 979, 1985, 1759, 593, 922, 2773, 693, 519, 1699, 13037, 269, 3657, 596, 17935, 585, 3892, 9388, 267, 17758, 6284, 267, 610, 1312, 286, 4643, 9935, 543, 1118, 2386, 1169, 1900, 12523, 2509, 8236, 1346, 3853, 14325, 15812, 6743, 14719, 894, 1631, 267, 21716, 23436, 779, 5796, 269, 2991, 513, 4090, 267, 646, 9684, 539, 1200, 25442, 569, 269, 968, 14188, 596, 865, 1454, 267, 23436, 269, 2659, 5133, 814, 1044, 11212, 3407, 14325, 4415, 17105, 8990, 267, 4460, 2451, 519, 6643, 4712, 547, 10994, 519, 4101, 2943, 14785, 3460, 6619, 269, 1306, 646, 15336, 2476, 267, 23436, 7948, 1406, 948, 855, 12837, 267, 6616, 1352, 1185, 5280, 3337, 519, 2619, 540, 2576, 3116, 779, 14557, 26517, 5326, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 798, 12696, 543, 2733, 12781, 6330, 519, 1950, 5251, 540, 4670, 15976, 547, 2697, 519, 1655, 3255, 547, 13686, 741, 960, 547, 513, 9962, 5304, 888, 296, 1810, 1405, 723, 2123, 1995, 610, 8369, 267, 855, 1934, 616, 930, 10372, 1384, 272, 269, 1382, 281, 12696, 543, 2733, 12781, 1058, 1353, 519, 1585, 4670, 15976, 543, 2697, 519, 3283, 602, 616, 1034, 4143, 547, 741, 9135, 267, 3898, 267, 610, 6249, 269, 789, 666, 1413, 585, 15976, 602, 723, 5892, 7604, 1078, 2147, 1568, 267, 610, 1346, 602, 723, 513, 10639, 585, 15386, 5647, 780, 273, 269, 13033, 281, 11504, 4670, 15976, 267, 29468, 267, 543, 11925, 666, 1683, 12696, 543, 2733, 12781, 609, 3255, 547, 2743, 824, 4648, 543, 1451, 827, 1585, 15976, 269, 971, 4205, 666, 1291, 547, 4598, 543, 5352, 1719, 538, 741, 960, 267, 799, 666, 6038, 1291, 547, 5542, 543, 7589, 780, 274, 269, 2054, 1125, 281, 12696, 543, 2733, 12781, 991, 547, 1544, 741, 13037, 7589, 21825, 547, 2327, 741, 960, 10301, 513, 6626, 5304, 14325, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 769, 2221, 781, 3059, 2085, 267, 5904, 543, 824, 4448, 3457, 1404, 513, 2629, 1909, 538, 938, 3232, 2729, 269, 3245, 2792, 547, 9913, 267, 2069, 267, 543, 960, 267, 649, 7048, 8185, 593, 2029, 547, 1685, 1585, 4247, 7561, 269, 1717, 267, 713, 2799, 13829, 849, 27875, 721, 547, 3875, 3354, 6937, 602, 666, 14207, 6213, 1239, 543, 2123, 1344, 269, 2290, 971, 3463, 2501, 538, 519, 1106, 540, 18858, 13568, 9640, 1107, 17351, 3301, 2966, 547, 13587, 633, 3755, 883, 13031, 14804, 1344, 610, 7900, 3527, 602, 1223, 2800, 741, 1949, 269, 901, 3184, 786, 5490, 4514, 883, 519, 1523, 540, 18858, 13568, 9640, 267, 3695, 741, 4214, 267, 10342, 267, 1764, 267, 7020, 267, 543, 6604, 2994, 780, 2162, 1548, 3657, 18858, 13568, 32130, 2496, 301, 3139, 1310, 519, 25337, 11308, 7504, 1031, 676, 5259, 7980, 547, 22467, 3433, 31684, 1282, 3504, 2053, 267, 2780, 18858, 329, 753, 1599, 13974, 676, 29227, 3593, 3972, 543, 24320, 2358, 2933, 607, 16048, 3156, 610, 6119, 269, 4495, 8704, 267, 789, 666, 14892, 5739, 2238, 8151, 689, 27560, 18538, 543, 2883, 1344, 547, 16459, 3606, 18453, 267, 22212, 1062, 5468, 267, 543, 1256, 26587, 6552, 31487, 19727, 24071, 1569, 547, 7783, 6191, 269, 9521, 8290, 543, 17494, 267, 799, 21613, 2933, 8850, 267, 18858, 329, 753, 2154, 1480, 5872, 547, 3262, 267, 1818, 873, 3226, 5906, 2094, 789, 1419, 8945, 3755, 883, 7175, 741, 683, 325, 13895, 31139, 338, 17543, 610, 16662, 1549, 958, 780, 2162, 1215, 1684, 18858, 329, 753, 4518, 2496, 23777, 1227, 267, 18858, 329, 753, 12446, 3842, 4757, 27589, 267, 8216, 20261, 8924, 267, 3758, 4687, 5867, 267, 610, 19847, 7270, 269, 1358, 949, 2408, 607, 10694, 4647, 6402, 267, 1303, 6005, 3091, 267, 610, 9583, 21030, 6681, 6054, 269, 16270, 11056, 267, 519, 18858, 13568, 5932, 513, 1394, 21830, 7127, 1448, 1369, 519, 6408, 781, 3926, 267, 3850, 6880, 322, 3234, 10904, 547, 1852, 621, 20716, 269, 13689, 593, 519, 1808, 1826, 540, 18858, 13568, 267, 621, 1522, 1685, 1022, 4999, 540, 519, 1739, 3252, 1384, 272, 269, 3223, 2643, 690, 3101, 910, 10916, 1169, 1883, 560, 6593, 1500, 593, 519, 13691, 267, 5732, 13830, 21189, 22754, 267, 5491, 3556, 2338, 267, 543, 824, 4357, 3877, 563, 273, 269, 4578, 17403, 910, 17655, 2199, 11479, 585, 3407, 1344, 899, 3454, 7024, 267, 1870, 5638, 267, 610, 7214, 3959, 563, 274, 269, 22647, 18376, 1569, 910, 28498, 21190, 547, 8263, 2347, 4971, 936, 519, 4299, 3684, 267, 1519, 22745, 3292, 267, 10188, 1463, 1559, 267, 543, 22151, 6119, 563, 275, 269, 9324, 658, 540, 6796, 630, 2710, 306, 264, 6285, 910, 11566, 3060, 2200, 998, 7050, 6808, 5108, 267, 17021, 6098, 13763, 610, 5121, 8035, 762, 563, 276, 269, 1975, 2459, 532, 910, 14700, 17066, 262, 28600, 525, 609, 5667, 4301, 1243, 15737, 5627, 838, 21874, 22099, 267, 26122, 14565, 267, 610, 17351, 15745, 338, 780, 2005, 568, 1898, 547, 1174, 602, 18858, 329, 753, 798, 711, 1582, 1790, 1886, 698, 622, 282, 3079, 267, 789, 4096, 593, 1514, 4702, 12485, 547, 5918, 701, 9601, 883, 11766, 532, 873, 32380, 269, 4935, 267, 9363, 5483, 827, 11342, 2228, 1085, 4461, 543, 12561, 929, 644, 550, 19855, 6208, 3587, 14063, 538, 17420, 1996, 1761, 3968, 780, 2162, 7464, 21509, 6201, 543, 7351, 12367, 692, 1103, 2487, 1296, 267, 1896, 1164, 3491, 12803, 18858, 13568, 17061, 723, 20739, 8898, 688, 22106, 2066, 6080, 5001, 269, 2368, 8037, 8320, 1331, 1384, 272, 269, 2506, 582, 564, 281, 21231, 9571, 538, 476, 1001, 275, 267, 2506, 582, 564, 7960, 689, 513, 2241, 12948, 18858, 13568, 883, 513, 10427, 22606, 18453, 5827, 540, 12419, 2789, 31139, 338, 8195, 269, 898, 5097, 9072, 9746, 5054, 267, 10825, 2663, 958, 1210, 21687, 22754, 543, 9070, 908, 3294, 3842, 28417, 11044, 269, 4340, 547, 9193, 267, 2506, 582, 564, 814, 3361, 6634, 540, 9489, 538, 14796, 267, 7133, 5215, 540, 3906, 11451, 563, 273, 269, 570, 4459, 15318, 281, 3689, 4767, 538, 476, 1001, 277, 267, 570, 4459, 15318, 7153, 607, 513, 14984, 24288, 547, 29325, 516, 5633, 267, 1776, 7986, 12948, 18858, 13568, 269, 4706, 3119, 3804, 3322, 27560, 6213, 2883, 1344, 676, 7630, 532, 17351, 3009, 883, 1357, 3817, 15600, 998, 4950, 26292, 269, 3683, 942, 267, 570, 4459, 15318, 814, 9450, 922, 7207, 267, 6220, 26030, 2264, 13838, 267, 19609, 16276, 2645, 267, 543, 1256, 15170, 19379, 563, 274, 269, 3619, 17844, 4959, 293, 289, 281, 15765, 2094, 476, 1220, 278, 267, 3619, 17844, 4959, 293, 289, 3788, 835, 540, 519, 13074, 8573, 7342, 18858, 13568, 3885, 538, 6228, 269, 19612, 585, 922, 6043, 543, 13916, 267, 621, 18271, 4359, 14238, 2553, 547, 1714, 8775, 7020, 1247, 7796, 325, 1359, 4871, 2272, 3877, 543, 13948, 30753, 1344, 630, 303, 2862, 1040, 4521, 11268 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 6349, 7325, 476, 1001, 279, 267, 476, 2537, 281, 6187, 454, 15916, 689, 519, 17918, 11833, 645, 2794, 289, 582, 2439, 12552, 547, 1776, 17918, 11833, 4759, 267, 594, 723, 1175, 4362, 713, 3407, 1888, 267, 2943, 621, 1185, 1100, 4901, 585, 936, 513, 1032, 269, 594, 993, 1631, 536, 18804, 621, 909, 910, 3257, 1250, 2816, 269, 594, 1589, 596, 949, 1265, 621, 3407, 630, 525, 335, 1346, 30491, 609, 918, 16997, 6393, 23763, 547, 1294, 782, 824, 3584, 594, 2007, 856, 286, 7427, 803, 630, 28781, 1246, 7735, 593, 9043, 1040, 1411, 786, 4309, 513, 5758, 540, 782, 3584, 594, 29424, 538, 707, 9043, 1858, 607, 1134, 607, 3842, 4757, 563, 6303, 29390, 3725, 281, 1772, 586, 2999, 476, 273, 343, 286, 1299, 333, 2125, 1496, 258, 21529, 316, 476, 6349, 7325, 476, 1001, 279, 267, 476, 2537, 281, 6187, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3044, 11539, 540, 476, 279, 269, 1548, 6871, 540, 1053, 6060, 1657, 476, 3445, 593, 519, 1449, 286, 1548, 2600, 6060, 2630, 476, 4792, 286, 476, 276, 269, 6333, 519, 1739, 8424, 540, 476, 1911, 543, 476, 1220, 11281, 21686, 2053, 269, 476, 1911, 11281, 942, 476, 1220, 11281, 942, 476, 1015, 269, 4817, 476, 2420, 269, 4905, 476, 1556, 269, 5881, 476, 2420, 269, 4029, 476, 1556, 269, 2420, 476, 2420, 269, 10170, 1548, 568, 519, 5276, 9756, 1063, 519, 2053, 286, 476, 277, 269, 1548, 568, 519, 3830, 540, 519, 2547, 10945, 9695, 1899, 689, 519, 1239, 538, 1948, 276, 286, 476, 278, 269, 27539, 602, 519, 2597, 540, 2937, 9038, 538, 11882, 568, 7363, 7856, 609, 513, 1611, 540, 476, 3707, 7273, 543, 513, 3044, 11539, 540, 476, 2767, 269, 276, 7273, 269, 1548, 6871, 540, 2367, 538, 11882, 9260, 811, 982, 476, 7742, 6550, 286, 2483, 8698, 9509, 11657, 454, 1607, 4063, 729, 23345, 593, 476, 4962, 270, 4905, 270, 1001, 272, 585, 519, 1576, 6673, 14160, 19798, 2464, 476, 6200, 6026, 676, 7905, 6004, 4732, 19431, 1282, 519, 11354, 1412, 1556, 2165, 693, 9705, 11628, 4659, 540, 3163, 543, 5303, 563, 268, 11354, 1412, 1556 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6850, 7219, 2045, 8928, 267, 789, 4749, 4309, 13385, 3007, 1369, 4540, 7811, 10850, 269, 7351, 13753, 11168, 519, 991, 547, 2203, 2627, 11315, 1145, 267, 30846, 267, 543, 2746, 2032, 18113, 267, 7551, 7175, 1732, 11236, 540, 10465, 4494, 5250, 543, 3774, 31868, 720, 780, 2026, 3356, 5170, 3284, 864, 267, 5571, 7521, 27788, 6099, 2994, 585, 5466, 891, 10296, 2152, 1510, 27531, 10763, 8778, 1464, 610, 10230, 4398, 269, 11086, 267, 2104, 7835, 1590, 3666, 12721, 7569, 585, 2799, 8856, 1996, 31544, 4145, 3823, 6388, 23250, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 31880, 573, 10046, 538, 5843, 22563, 1182, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 273, 269, 4284, 4815, 2275, 8707, 8652, 323, 3428, 923, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 273, 269, 272, 269, 11511, 9429, 2095, 2580, 834, 273, 269, 273, 269, 11272, 5595, 6106, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 273, 269, 274, 269, 715, 1716, 560, 268, 23945, 1188, 3830, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 763, 1543, 1058, 2832, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 538, 519, 1888, 269, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 269, 0, 3848, 476, 1015, 281, 1234, 20761, 1310, 18366, 910, 589, 6733, 693, 2782, 781, 2991, 4118, 692, 5970, 596, 2479, 16545, 1018, 1272, 1131, 581, 899, 952, 707, 4884, 729, 10969, 730, 676, 2112, 286, 898, 1522, 581, 2182, 547, 1589, 827, 267, 855, 2429, 1686, 267, 1082, 2950, 723, 5185, 713, 1360, 4161, 269, 1879, 7526, 1439, 267, 1004, 1419, 3068, 519, 18447, 4305, 540, 31811, 741, 5321, 267, 10034, 267, 543, 2729, 269, 901, 3184, 786, 2263, 875, 1004, 960, 1927, 547, 11177, 741, 1158, 1310, 513, 942, 540, 9552, 780, 4131, 781, 2253, 609, 513, 2241, 2243, 281, 1548, 4523, 950, 513, 2679, 4991, 2025, 610, 8697, 286, 2334, 781, 1318, 910, 621, 2115, 547, 581, 30465, 610, 8719, 256, 3767, 4952, 602, 3079, 540, 1175, 835, 2679, 267, 3003, 4872, 991, 21338, 1317, 789, 941, 10032, 1282, 513, 2112, 269, 16319, 11566, 267, 3085, 1405, 621, 286, 1809, 972, 616, 12703, 2367, 543, 2021, 945, 1491, 593, 891, 11999, 4247, 1169, 1554, 269, 1358, 948, 7816, 5656, 267, 9897, 267, 13123, 267, 3506, 267, 10506, 267, 543, 811, 865, 602, 3885, 666, 2132, 1753, 9108, 780, 3080, 1383, 2501, 689, 2342, 1739, 2622, 2782, 4083, 269, 3509, 3864, 2477, 1185, 1044, 16094, 4299, 676, 1296, 540, 8165, 269, 20079, 2482, 538, 21219, 267, 5989, 729, 8697, 267, 543, 2596, 2533, 971, 607, 1216, 543, 5201, 941, 9039, 343, 11962, 269, 4658, 3357, 1927, 689, 782, 936, 519, 1158, 547, 4217, 538, 519, 7372, 16646, 3646, 269, 3414, 8990, 543, 16542, 267, 789, 7307, 547, 3142, 1272, 1394, 547, 1346, 695, 13593, 3338, 269, 1635, 4974, 741, 2409, 543, 2553, 267, 2413, 7239, 723, 1831, 1732, 5423, 547, 6023, 2147, 3871, 2221, 780, 3719, 31811, 3884, 1405, 1152, 827, 14335, 1007, 5656, 282, 621, 849, 3322, 7067, 3929, 16398, 269, 12668, 4734, 2620, 26711, 593, 1346, 945, 1995, 873, 20250, 267, 1519, 1453, 269, 1677, 5351, 538, 6051, 267, 2027, 3292, 1445, 593, 4543, 3214, 11883, 609, 8194, 998, 1148, 3797, 267, 2575, 4245, 267, 5026, 2238, 267, 543, 824, 16351, 18697, 269, 1452, 7341, 1683, 4313, 543, 1489, 1247, 5009, 6043, 1851, 1762, 5171, 780, 12234, 267, 2069, 4249, 513, 2629, 1909, 538, 2022, 18101, 12787, 5468, 269, 12140, 4196, 607, 2146, 7740, 1141, 1453, 1451, 3407, 1983, 543, 2418, 2556, 585, 2123, 2208, 543, 1646, 269, 11334, 957, 607, 23003, 267, 5807, 1620, 267, 6568, 267, 543, 1514, 22122, 1851, 1053, 689, 3309, 10080, 269, 4065, 3587, 606, 1898, 1907, 585, 8840, 9979, 540, 5208, 543, 2870, 12560, 20304, 780, 3086, 1577, 781, 2015, 930, 1483, 3734, 1806, 6251, 547, 1753, 269, 5994, 4466, 856, 602, 707, 5326, 2777, 786, 581, 3710, 1318, 2282, 707, 1699, 1753, 256, 1215, 9599, 1131, 596, 1745, 286, 1280, 1346, 2713, 2059, 20380, 11709, 21890, 2131, 20000, 538, 1715, 590, 3240, 337, 3534, 16047, 267, 8419, 267, 713, 9183, 2968, 513, 4641, 269, 1717, 267, 1354, 1022, 4070, 1223, 1376, 267, 26767, 2877, 547, 2327, 3388, 5360, 1221, 609, 2199, 6042, 543, 2825, 4441, 269, 6684, 267, 950, 4058, 547, 18949, 2127, 5734, 676, 4655, 267, 24990, 1590, 1246, 1808, 4808, 547, 10018, 3106, 267, 6940, 267, 543, 13784, 780, 1103, 3932, 267, 10617, 949, 2014, 10373, 3441, 267, 855, 789, 798, 711, 5365, 519, 1439, 269, 5502, 267, 1004, 26595, 547, 25580, 267, 12115, 267, 543, 1332, 6793, 982, 1354, 269, 3245, 3140, 2621, 547, 4207, 2591, 267, 649, 666, 1294, 9118, 8320, 1141, 2043, 2097, 1927, 547, 1711, 2318, 1689, 8015, 14488, 269, 1306, 2104, 3401, 267, 596, 1932, 3180, 519, 1379, 547, 3565, 547, 513, 1732, 14182, 676, 1565, 827, 2112, 781, 21987, 543, 10825, 4656, 540, 922, 5222, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 309, 523, 564, 1014, 22575, 281, 28527, 547, 519, 7736, 5213, 590, 1180, 698, 12789, 563, 17092, 2894, 2975, 21398, 2969, 570, 21788, 1923, 645, 2752, 21612, 9215, 5990, 5254, 12678, 1923, 5990, 18161, 4932, 15760, 645, 6579, 14877, 2910, 17247, 27486, 454, 305, 22664, 21832, 12164, 22552, 10813, 3582, 744, 13048, 18306, 7419, 14510, 454, 302, 4753, 3198, 15709, 2177, 307, 10396, 11553, 2464, 2316, 294, 22473, 4785, 966, 3198, 918, 4041, 4488, 298, 19010, 25893, 267, 21832, 15382, 312, 11748, 18688, 21815, 454, 293, 8085, 14877, 25783, 300, 3951, 307, 3633, 12813, 23177, 30426, 312, 9215, 645, 308, 6579, 291, 715, 8582, 2336, 289, 12788, 308, 2316, 293, 8085, 26827, 30204, 23370, 22218, 454, 20578, 1125, 2659, 5685, 8460, 476, 276, 16170, 7741, 594, 476, 276, 9509, 5174, 23411, 594, 476, 273, 21009, 5174, 23411, 476, 276, 267, 6977, 590, 304, 674, 307, 270, 8028, 681, 5622, 1111, 641, 1546, 1188, 454, 305, 754, 1359, 26115, 15100, 24759, 5071, 6828, 476, 1708, 271, 454, 278, 4029, 15829, 17395, 595, 26059, 2207, 12114, 19010, 25893, 267, 10790, 3951, 299, 13263, 476, 276, 5127, 7741, 270, 476, 274, 269, 272, 8602, 7741, 267, 476, 275, 267, 271, 3374, 13483, 269, 1111, 269, 700, 8780, 3633, 15760, 281, 634, 17054, 2006, 12243, 454, 25838, 274, 966, 8656, 570, 4785, 290, 3198, 312, 267, 654, 2562, 9898, 24315, 298, 476, 276, 5127, 7741, 270, 476, 274, 269, 273, 8602, 7741, 267, 476, 274, 267, 278, 1789, 13483, 269, 1111, 269, 700, 8780, 3633, 15760, 281, 6307, 1805, 22115, 4303, 454, 310, 5793, 5244, 5889, 261, 258, 343, 736, 3722, 282, 261, 258, 343, 18891, 273, 282, 338, 7464, 24529, 20226, 11123, 744, 23615, 476, 4375, 962, 292, 12678, 454, 13078, 654, 269, 12876, 3316, 802, 589, 557, 269, 476, 14338, 590, 269, 5244, 589, 557, 269, 15604, 5244, 267, 18919, 476, 27628, 8660, 454, 23283, 2764, 22743, 310, 16775, 15829, 17395, 29135, 292, 267, 590, 3036, 305, 7728, 302, 476, 275, 5127, 7741, 270, 476, 275, 8602, 7741, 267, 476, 275, 267, 277, 3066, 13483, 269, 1111, 269, 700, 8780, 3633, 15760, 281, 667, 11921, 23620, 543, 23765, 5689, 2292, 454, 14991, 272, 670, 2752, 305, 3041, 595, 7644, 290, 4041, 267, 654, 2562, 9898, 24315, 298, 476, 274, 5127, 7741, 270, 476, 273, 269, 272, 8602, 7741, 267, 476, 274, 267, 279, 1626, 13483, 269, 1111, 269, 700, 8780, 3633, 15760, 281, 3627, 22413, 1228, 454, 10441, 272, 966, 8656, 631, 2207, 3198, 302, 2910, 7838, 307, 267, 654, 2562, 9898, 24315, 298, 476, 275, 5127, 7741, 270, 476, 275, 269, 273, 8602, 337, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23219, 781, 2991, 4118, 257, 607, 851, 540, 834, 16300, 16337, 1315, 2782, 1299, 13639, 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, 589, 1906, 1296, 1394, 267, 594, 729, 851, 540, 513, 1507, 2146, 14364, 1895, 538, 1250, 554, 32528, 269, 1284, 941, 4058, 938, 1985, 2504, 267, 543, 835, 1554, 267, 938, 8689, 5189, 721, 547, 606, 21372, 1404, 1352, 1185, 5063, 4362, 269, 4706, 2140, 267, 834, 7922, 16556, 2349, 541, 2284, 2437, 533, 31985, 3025, 781, 7279, 267, 543, 649, 7948, 1405, 7227, 547, 1265, 856, 1018, 621, 729, 782, 827, 780, 7628, 938, 1101, 1224, 28443, 267, 649, 7691, 602, 519, 7097, 8659, 3875, 8100, 547, 1025, 8463, 32737, 538, 30762, 11652, 1025, 541, 2284, 9789, 9721, 2165, 585, 1166, 19495, 610, 2911, 5497, 547, 13587, 633, 269, 901, 9642, 4999, 17275, 1082, 6436, 827, 519, 2495, 3297, 519, 2140, 543, 922, 4276, 547, 519, 1404, 781, 2949, 4798, 543, 6698, 269, 2368, 2219, 621, 1522, 581, 513, 14165, 673, 6041, 540, 519, 16160, 1379, 540, 13587, 527, 995, 1913, 267, 1247, 1866, 5156, 621, 3090, 1242, 519, 19979, 2470, 540, 1480, 3347, 780, 2026, 519, 1152, 4759, 945, 5949, 547, 1353, 3332, 693, 6280, 267, 594, 5433, 25997, 547, 669, 830, 538, 543, 2671, 930, 4030, 593, 519, 2339, 269, 1924, 267, 594, 798, 557, 2620, 883, 15388, 519, 8129, 540, 1312, 2474, 543, 741, 2009, 4296, 1369, 519, 2796, 540, 519, 1404, 269, 2991, 3108, 6170, 7421, 1169, 1899, 543, 3444, 18022, 17182, 3140, 5013, 267, 594, 23217, 4843, 1250, 4681, 1282, 31667, 531, 780, 4913, 267, 3079, 540, 1373, 24330, 267, 1250, 8284, 11051, 16802, 883, 17409, 950, 789, 4862, 1250, 3932, 281, 602, 519, 31075, 1590, 723, 1044, 1818, 513, 521, 569, 4704, 547, 519, 25337, 11135, 540, 645, 958, 333, 1695, 514, 577, 689, 519, 9721, 31052, 542, 540, 476, 9692, 279, 269, 769, 602, 6370, 267, 3703, 4229, 1031, 5230, 25044, 630, 528, 1412, 4565, 6814, 10807, 1996, 30280, 15720, 3330, 513, 1253, 20455, 1634, 585, 6721, 1164, 7779, 15837, 22090, 4486, 630, 32643, 958, 5219, 547, 607, 1412, 4565, 541, 2284, 262, 1040, 2755, 13840, 4241, 267, 1250, 2079, 5828, 856, 547, 581, 7357, 13061, 547, 519, 4890, 1543, 540, 519, 2413, 1404, 2439, 8601, 1250, 3355, 19849, 14536, 267, 649, 782, 8694, 909, 2348, 513, 1434, 14902, 936, 621, 269, 898, 18056, 721, 602, 3006, 267, 1256, 1134, 10784, 1549, 539, 3646, 1810, 1405, 6556, 7525, 2164, 1107, 855, 1346, 14286, 1419, 1291, 547, 3407, 4245, 4121, 543, 6793, 7554, 4646, 1851, 2828, 543, 9164, 269, 1656, 945, 6487, 286, 9320, 14693, 267, 1250, 1055, 18566, 7664, 786, 8300, 1776, 14364, 1895, 21365, 519, 1482, 12357, 1404, 256, 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, 18658, 568, 519, 4644, 540, 519, 946, 540, 519, 2262, 834, 4565, 16556, 257, 538, 519, 1404, 781, 2140, 267, 543, 875, 1281, 621, 9305, 547, 519, 6626, 4798, 543, 6698, 538, 519, 1650, 888, 296, 798, 711, 723, 1569, 547, 519, 2796, 610, 519, 2140, 540, 519, 1404, 602, 596, 616, 13288, 547, 269, 5225, 1683, 803, 609, 811, 1344, 827, 519, 1404, 781, 2140, 543, 519, 6626, 4798, 865, 602, 1775, 666, 2119, 547, 948, 596, 609, 707, 2243, 14325, 763, 1650, 1058, 1331, 281, 3097 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 590, 778, 514, 13225, 976, 548, 267, 13106, 31517, 31048, 517, 454, 293, 677, 529, 11233, 267, 25109, 1495, 0, 2414, 2057, 1062, 6959, 267, 952, 24904, 568, 707, 9053, 11422, 267, 5225, 9337, 547, 519, 5767, 4528, 540, 24904, 630, 10037, 610, 2362, 264, 610, 946, 606, 4244, 11422, 563, 12812, 1934, 547, 21189, 952, 596, 2811, 606, 19364, 292, 16588, 454, 13434, 1478, 2659, 10055, 6176, 454, 29949, 3951, 307, 2894, 15760, 11581, 310, 19181, 14330, 6369, 308, 21203, 299, 2562, 454, 24746, 13696, 3951, 307, 3633, 15760, 5990, 19364, 292, 670, 26041, 22444, 3918, 307, 14473, 454, 11321, 4897, 1014, 14731, 717, 2246, 516, 14513, 267, 12789, 1421, 15754, 2299, 1634, 607, 645, 574, 547, 3025, 267, 5747, 593, 5988, 476, 1724, 267, 476, 1960, 275, 267, 693, 519, 2085, 540, 24239, 21144, 269, 1261, 729, 606, 8626, 27274, 6427, 633, 3114, 11653, 267, 4429, 11321, 4897, 1014, 14731, 717, 2246, 516, 14513, 267, 12789, 1421, 15754, 2299, 1634, 607, 645, 574, 547, 3025, 267, 5747, 593, 5988, 476, 1724, 267, 476, 1960, 275, 267, 693, 519, 2085, 540, 24239, 21144, 269, 1261, 729, 606, 8626, 27274, 6427, 633, 3114, 11653, 267, 945, 814, 2451, 1010, 1665, 593, 519, 3114, 2872, 676, 1646, 540, 1007, 4066, 543, 676, 519, 4763, 540, 20614, 2472, 2919, 896, 1010, 5718, 563, 3891, 729, 4535, 538, 27850, 6807, 267, 17906, 267, 593, 5130, 476, 1704, 267, 476, 4350, 271, 267, 543, 13984, 17039, 3557, 2160, 630, 11862, 308, 264, 585, 1010, 3114, 4702, 2866, 269, 1261, 21783, 3172, 320, 15921, 3288, 8775, 538, 476, 4198, 271, 543, 6192, 1010, 631, 2529, 269, 538, 476, 4198, 272, 267, 1310, 799, 646, 4682, 547, 960, 585, 6599, 2643, 15278, 607, 513, 1184, 11653, 269, 1261, 18423, 693, 6599, 2643, 2394, 476, 4198, 276, 267, 950, 646, 8120, 547, 700, 24746, 547, 11654, 1010, 1912, 6185, 1421, 799, 646, 6192, 538, 476, 4198, 279, 269, 4438, 713, 942, 646, 6039, 607, 606, 14357, 543, 13930, 7548, 3450, 513, 2647, 2039, 540, 6030, 538, 3114, 1184, 4702, 269, 634, 3982, 4369, 602, 729, 2141, 547, 21656, 1010, 960, 729, 3254, 693, 713, 3942, 676, 513, 25761, 1957, 609, 3220, 269, 20908, 572, 3213, 919, 593, 2534, 14170, 693, 12808, 8920, 1081, 269, 3571, 3872, 4876, 693, 700, 24746, 729, 6825, 676, 1082, 21441, 267, 543, 1010, 5718, 1761, 676, 1010, 26556, 540, 519, 7584, 540, 20017, 564, 2101, 538, 681, 5588, 290, 607, 1134, 607, 5604, 23649, 538, 519, 1585, 2875, 7239, 563, 4002, 12032, 540, 1010, 1912, 6185, 1421, 646, 8120, 547, 6599, 2643, 15278, 607, 2212, 540, 519, 4702, 543, 6310, 9443, 3296, 267, 689, 799, 5614, 4580, 646, 729, 547, 4434, 6385, 998, 519, 31707, 16034, 540, 519, 18294, 609, 799, 646, 729, 547, 6108, 1010, 3003, 3318, 4876, 563, 7804, 269, 717, 2246, 516, 14513, 729, 519, 1883, 4137, 267, 4749, 519, 6205, 267, 543, 2141, 519, 21927, 538, 519, 1646, 543, 5010, 1436, 540, 811, 982, 8938, 1007, 3157, 543, 2472, 593, 799, 646, 4371, 5216, 24977, 269, 2986, 891, 267, 519, 1101, 729, 519, 3404, 344, 18608, 1588, 540, 2802, 22005, 547, 3132, 2802, 22005, 27524, 3271, 728, 689, 2011, 267, 7250, 17296, 267, 543, 2802, 22005, 269, 6599, 2643, 729, 2907, 6721, 24064, 2643, 17296, 676, 7510, 26299, 3974, 540, 2802, 22005, 27524, 3271, 728, 269, 634, 1871, 540, 519, 3404, 344, 18608, 1588, 1184, 729, 547, 1118, 946, 540, 7250, 17296, 676, 1790, 6055, 689, 519, 25305, 5106, 547, 3132, 3606, 2802, 22005, 27524, 3271, 728, 269, 901, 15868, 513, 834, 29446, 257, 24064, 2643, 17296, 2030, 609, 1100, 2121, 7250, 17296, 2504, 630, 5976, 519, 4028, 2208, 540, 24064, 2643, 17296, 267, 7250, 17296, 2504, 729, 856, 335, 5217, 3747, 543, 4742, 513, 3978, 2804, 3390, 585, 24064, 2643, 17296, 12696, 4700, 901, 1184, 729, 13931, 547, 3752, 341, 599, 543, 594, 5746, 585, 5001, 946, 563, 288, 2101, 1900, 538, 519, 29159, 540, 6599, 2643, 15278, 781, 1587, 3515, 7018, 609, 519, 5010, 1436, 540, 3119, 4568, 2504, 676, 1797, 540, 11956, 12659, 2643, 7998, 269, 3220, 269, 717, 2246, 516, 14513, 3366, 519, 1646, 540, 713, 4101, 3114, 1184, 267, 1519, 513, 2189, 1900, 602, 15868, 2766, 1681, 519, 1587, 2039, 1454, 811, 5702, 547, 519, 7569, 540, 519, 19458, 982, 1705, 519, 6671, 2802, 22005, 5832, 2208, 1184, 269, 634, 11956, 12659, 2643, 5832, 2208, 7998, 729, 2663, 9450, 547, 1331, 519, 2504, 540, 5276, 13672, 522, 548, 325, 1231, 538, 1840, 547, 3119, 4568, 338, 269, 11088, 267, 6599, 2643, 781, 1184, 729, 2111, 547, 1852, 519, 3892, 540, 595, 273, 998, 595, 736, 2472, 547, 513, 1454, 3152, 4110, 982, 15712, 269, 634, 5832, 2208, 7998, 2371, 1631, 3132, 811, 982, 835, 5479, 6550, 829, 1032, 540, 5276, 13672, 522, 548, 325, 1231, 543, 3119, 4568, 338, 563, 7628, 3220, 269, 717, 2246, 516, 14513, 781, 26022, 267, 6599, 2643, 15278, 2968, 513, 2101, 18261, 540, 20614, 3114, 2472, 547, 519, 28052, 550, 267, 6694, 3114, 267, 14453, 267, 12249, 267, 543, 1644, 6080, 269, 15733, 2919, 543, 5010, 1242, 3769, 620, 5652, 671, 574, 14007, 26952, 543, 9770, 620, 636, 3626, 24485, 919, 585, 519, 28052, 550, 2872, 282, 3866, 330, 2643, 534, 559, 1149, 543, 1585, 5214, 16903, 7135, 585, 519, 6694, 3114, 2872, 282, 16481, 1575, 19745, 523, 543, 824, 10827, 919, 585, 519, 14453, 2872, 282, 543, 9647, 334, 1779, 344, 1194, 4307, 11169, 267, 620, 5652, 671, 3554, 1149, 267, 543, 5214, 28538, 1938, 585, 519, 12249, 2872, 269, 1160, 3064, 8767, 6599, 2643, 3157, 941, 4362, 543, 2919, 585, 782, 891, 2472, 269, 769, 513, 1297, 540, 8320, 267, 6599, 2643, 2968, 519, 1152, 18261, 540, 519, 1587, 5001, 563, 1103, 1418, 2210, 28351, 7998, 267, 646, 3366, 519, 1646, 540, 1007, 1884, 1731, 333, 1442, 7135, 971, 607, 6404, 1291, 12659, 2643, 338, 630, 339, 25523, 2802, 2643, 18861, 1291, 1070, 513, 1297, 540, 20614, 11956, 12659, 2643, 338, 267, 543, 2504, 540, 30713, 559, 6625, 585, 519, 19202, 2872, 269, 769, 713, 30713, 559, 6625, 1858, 267, 1586, 1007, 2029, 729, 519, 2101, 19876, 607, 621, 1185, 1044, 585, 24064, 2643, 17296, 543, 5832, 2208, 540, 4568, 338, 543, 522, 548, 325, 1231, 269, 634, 1184, 547, 3132, 3706, 1905, 675, 13339, 3238, 19454, 19349, 676, 1253, 20746, 540, 606, 5214, 12045, 540, 13339, 267, 4553, 676, 7766, 7510, 26299, 3974, 538, 513, 5714, 1242, 5127, 547, 3132, 513, 30704, 1587, 267, 799, 10741, 519, 1259, 585, 3608, 267, 6024, 834, 335, 1638, 532, 257, 540, 2582, 2275, 15009, 531, 13339, 1031, 585, 15373, 832, 563, 1103, 782, 891, 2127, 540, 29159, 540, 6599, 2643, 689, 922, 16126, 593, 25543, 14007, 1291, 267, 3220, 269, 717, 2246, 516, 14513, 729, 519, 1883, 4137, 269, 3571, 10888, 7209, 543, 15131, 1266, 25311, 519, 14017, 540, 1010, 3318, 9164, 543, 1128, 2683, 538, 782, 519, 786, 547, 8011, 538, 1099, 10999, 2352, 7998, 543, 4702, 269, 3502, 1152, 729, 646, 4628, 3238, 538, 1382, 267, 1184, 1646, 267, 543, 1184, 1374, 267, 855, 646, 729, 849, 3742, 538, 519, 2344, 1382, 267, 2344, 1646, 267, 543, 4579, 19908, 11775, 585, 3355, 9042, 540, 1034, 540, 891, 2472, 593, 1279, 3856, 11731, 609, 3593, 3549, 563, 9961, 713, 1974, 540, 513, 1360, 11327, 4876, 267, 646, 4359, 6385, 689, 1010, 3355, 13393, 269, 769, 4557, 1296, 646, 10924, 519, 2990, 540, 13030, 25535, 1211, 267, 1382, 543, 1646, 267, 538, 476, 3422, 280, 543, 1287, 9972, 13030, 25535, 1211, 267, 1382, 543, 1646, 267, 538, 476, 3192, 275, 269, 769, 476, 3192, 273, 646, 8678, 519, 4604, 540, 19971, 543, 950, 2192, 1072, 7142, 1864, 547, 4336, 1394, 1010, 2238, 538, 476, 2735, 272, 267, 646, 729, 1500, 9666, 518, 547, 519, 10324, 12233, 540, 519, 4604, 563, 2026, 729, 3617, 585, 971, 513, 13747, 2594, 540, 9740, 267, 3220, 269, 717, 2246, 516, 14513, 729, 28165, 676, 1082, 3906, 269, 1452, 1331, 11906, 7177, 12139, 609, 922, 623, 19781, 13815, 585, 2123, 9740, 538, 3114, 4702, 950, 602, 8366, 729, 5189, 538, 476, 3422, 279, 269, 769, 476, 3192, 277, 646, 4607, 519, 8176, 661, 269, 3213, 919, 17341, 13815, 267, 799, 568, 2016, 24973, 676, 519, 15506, 517, 22748, 613, 11271, 540, 519, 1977, 4659, 540, 11906, 7177, 543, 519, 1977, 11906, 5980, 269, 1261, 729, 11221, 547, 519, 2817, 9142, 540, 7177, 538, 476, 3192, 278, 543, 669, 8529, 519, 11906, 18025, 564, 15950, 7177, 25398, 9730, 269, 1261, 4607, 519, 11906, 16373, 3194, 5948, 17341, 13815, 538, 476, 3192, 279, 585, 14222, 7418, 547, 3114, 6725, 1382, 267, 543, 1010, 620, 2742, 544, 831, 3773, 547, 1010, 26549, 676, 32366, 532, 1864, 538, 476, 3192, 280, 607, 513, 22497, 4759, 540, 922, 7177, 8065, 540, 5940, 8012, 543, 8366, 532, 1864, 606, 8956, 776, 4387, 622, 540, 2257, 538, 476, 1960, 272, 269, 769, 476, 2735, 272, 646, 729, 11221, 513, 8284, 540, 519, 1977, 4659, 540, 11906, 19296, 269, 769, 476, 2735, 278, 6599, 2643, 15278, 267, 16287, 922, 1298, 27812, 1032, 267, 28165, 3220, 269, 717, 2246, 516, 14513, 676, 1439, 12976, 519, 631, 269, 674, 269, 717, 2246, 516, 14513, 270, 6599, 2643, 15278, 17348, 538, 11906, 7177, 693, 17039, 3557, 2160, 563, 30509, 689, 1010, 3318, 1272, 267, 645, 574, 717, 2246, 516, 14513, 1336, 942, 547, 4217, 538, 1082, 2146, 2238, 267, 1519, 519, 17039, 8551, 543, 3163, 4741, 267, 540, 799, 646, 729, 513, 3972, 2465, 267, 519, 700, 24746, 7690, 267, 543, 519, 4604, 540, 19971, 540, 519, 7991, 19270, 1068, 338, 5948, 269, 1323, 28048, 543, 3648, 1732, 982, 3328, 575, 565, 2536, 267, 646, 554, 730, 4411, 4365, 543, 2141, 6743, 4464, 547, 519, 4947, 540, 5614, 563, 2414, 1346, 945, 1558, 1864, 267, 645, 574, 729, 513, 23406, 1268, 945, 2141, 30870, 596, 609, 513, 1804, 12837, 267, 513, 8984, 602, 28815, 1256, 1282, 1010, 2063, 2395, 269, 1261, 729, 513, 1004, 1268, 543, 7184, 8149, 547, 519, 18813, 640, 540, 1272, 269, 769, 476, 4198, 273, 646, 9310, 631, 793, 517, 7705, 7338, 269, 1261, 729, 513, 13991, 1920, 812, 543, 4651, 547, 2185, 1453, 267, 16205, 267, 24910, 267, 631, 4115, 267, 543, 1656, 337, 19902, 269, 3571, 5758, 540, 1010, 1272, 568, 8659, 538, 1913, 646, 5206, 11992, 281, 834, 12179, 18454, 594, 723, 1185, 616, 1100, 811, 610, 1447, 982, 519, 12432, 1267, 540, 513, 11215, 543, 15962, 7385, 543, 1453, 267, 3318, 27498, 945, 723, 2760, 1577, 803, 1524, 267, 513, 18294, 4171, 7881, 616, 519, 5207, 267, 513, 3909, 6561, 689, 1250, 3237, 543, 2038, 18375, 267, 543, 930, 2696, 3766, 1508, 15421, 585, 7998, 543, 4702, 1701, 0, 1320, 16233, 779, 5753, 11233, 814, 4080, 513, 4473, 538, 519, 1297, 540, 7929, 5348, 1097, 339, 658, 3644, 630, 11965, 309, 264, 2550, 1032, 676, 1032, 269, 634, 6413, 568, 6998, 3237, 540, 1360, 1762, 1453, 547, 581, 18762, 543, 1491, 13390, 1081, 776, 3800, 1996, 7929, 3676, 563, 20075, 523, 11184, 1731, 527, 2817, 4659, 540, 4132, 2657, 267, 865, 10777, 5753, 11233, 267, 814, 4080, 606, 2333, 538, 19954, 309, 2665, 1851, 922, 1360, 1762, 2550, 267, 609, 835, 856, 540, 1614, 2550, 9683, 519, 6413, 2348, 19954, 309, 543, 519, 1297, 540, 1007, 2665, 8375, 1169, 1032, 563, 11965, 309, 568, 513, 7929, 19800, 602, 3123, 2589, 2147, 547, 4411, 543, 2770, 269, 19954, 309, 5563, 666, 979, 2476, 585, 4079, 543, 4587, 1453, 267, 855, 666, 581, 2523, 4049, 543, 5732, 14603, 585, 1453, 896, 513, 1032, 2025, 267, 607, 1134, 607, 519, 11361, 609, 5817, 1072, 2175, 563, 7804, 269, 30634, 1069, 628, 2967, 589, 802, 559, 335, 267, 513, 12963, 5102, 3000, 6048, 693, 5753, 11233, 267, 1767, 1360, 1762, 1453, 666, 1020, 4049, 8374, 689, 519, 22024, 799, 1453, 949, 711, 581, 2111, 547, 5265, 26565, 540, 563, 3891, 1767, 519, 1482, 13390, 1081, 776, 3800, 1996, 5046, 268, 866, 666, 581, 4294, 547, 948, 2061, 19954, 309, 269, 901, 2882, 9633, 2914, 8960, 543, 1688, 9882, 563, 11965, 309, 4255, 666, 581, 5340, 609, 17725, 2220, 11274, 267, 2147, 547, 13044, 563, 763, 29164, 1974, 585, 19954, 309, 568, 1472, 476, 274, 268, 277, 2395, 267, 543, 519, 3644, 666, 581, 3742, 538, 519, 3984 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4517, 4319, 12722, 729, 519, 18749, 1977, 7022, 945, 12199, 689, 476, 275, 628, 4728, 476, 9264, 280, 547, 476, 275, 628, 4728, 476, 8146, 278, 269, 4438, 1010, 24164, 267, 835, 540, 519, 1034, 1713, 2621, 729, 519, 4871, 2112, 10137, 799, 729, 513, 2797, 6560, 602, 729, 2919, 936, 519, 556, 7302, 6621, 532, 7282, 519, 2136, 2276, 262, 2034, 4871, 269, 634, 2112, 540, 519, 4871, 729, 513, 2123, 543, 15280, 3765, 24483, 1063, 12722, 543, 1010, 30347, 269, 1261, 729, 5462, 547, 15237, 1524, 519, 3084, 4871, 855, 519, 2229, 2724, 12074, 883, 1010, 834, 7065, 8492, 257, 3366, 547, 513, 4005, 267, 799, 12015, 909, 519, 4182, 781, 5491, 3556, 543, 6038, 8507, 538, 519, 476, 8146, 278, 11784, 269, 634, 1957, 267, 4061, 267, 568, 6566, 2213, 593, 513, 4901, 3823, 12448, 12722, 543, 519, 4871, 2112, 563, 763, 476, 8687, 273, 2112, 19443, 538, 14637, 519, 608, 21310, 656, 18541, 2631, 538, 519, 4182, 1317, 519, 2197, 729, 538, 513, 942, 540, 2804, 543, 6015, 269, 8361, 22110, 15748, 606, 5140, 1614, 12268, 5010, 1544, 5219, 547, 607, 519, 3590, 540, 3013, 547, 2743, 519, 2115, 540, 519, 2810, 2197, 269, 634, 13269, 2136, 2276, 3590, 729, 2813, 547, 7198, 1977, 4123, 547, 1831, 3811, 269, 1306, 942, 27636, 267, 2724, 729, 2141, 2139, 585, 1585, 4853, 1235, 547, 4020, 9456, 15327, 267, 6718, 2244, 543, 2253, 741, 7262, 11396, 269, 3958, 267, 519, 3560, 729, 547, 581, 9112, 547, 1450, 1004, 547, 22109, 547, 519, 4639, 11884, 269, 634, 3119, 2832, 540, 2870, 519, 13269, 2883, 5650, 729, 547, 3715, 519, 2034, 1977, 4871, 547, 2087, 741, 2729, 676, 3246, 2653, 5491, 547, 873, 563, 763, 5137, 540, 519, 2034, 3084, 4871, 729, 3811, 267, 543, 476, 736, 260, 540, 922, 8843, 941, 22234, 676, 519, 1977, 2229, 1247, 519, 1964, 941, 11262, 676, 4357, 9520, 269, 634, 2962, 1500, 519, 18294, 547, 3251, 896, 4357, 9562, 269, 1306, 942, 27636, 267, 593, 476, 1015, 628, 4989, 476, 8687, 277, 267, 5518, 23885, 9896, 513, 2034, 4871, 22497, 883, 1876, 585, 476, 736, 1296, 269, 1717, 267, 538, 1447, 982, 1614, 1296, 267, 543, 2804, 31685, 1634, 607, 519, 476, 8687, 280, 4250, 5734, 519, 2197, 269, 634, 476, 8687, 280, 4250, 729, 513, 3296, 540, 513, 2518, 2804, 6433, 267, 855, 1034, 2591, 4810, 538, 3013, 941, 1813, 547, 519, 2034, 1977, 4871, 269, 5047, 267, 519, 4871, 22497, 3964, 676, 6837, 607, 513, 3296, 540, 519, 2883, 4566, 540, 12138, 16803, 729, 23380, 538, 476, 8687, 272, 563, 5475, 2185, 1296, 267, 519, 2136, 2276, 262, 2034, 4871, 729, 11292, 1776, 22497, 676, 519, 1482, 18322, 269, 2060, 519, 22071, 4092, 538, 15740, 267, 519, 3084, 4871, 729, 3964, 547, 1118, 519, 1533, 781, 4346, 7123, 269, 3958, 267, 676, 31392, 824, 14078, 547, 2628, 741, 818, 516, 1513, 538, 4154, 16425, 267, 519, 2034, 4871, 5497, 547, 26193, 519, 14078, 689, 29307, 3875, 1957, 4871, 17084, 799, 1131, 10393, 6749, 538, 1871, 269, 4746, 267, 519, 4871, 729, 9277, 547, 28231, 811, 9921, 12434, 585, 922, 4357, 1870, 5443, 971, 607, 519, 21471, 540, 1715, 3840, 267, 8330, 528, 15243, 3627, 543, 519, 4871, 518, 540, 15740, 267, 15537, 12852, 731, 269, 3509, 25743, 6462, 519, 3527, 540, 519, 9241, 21892, 4871, 267, 855, 930, 2760, 29709, 741, 16962, 1014, 8969, 602, 519, 13269, 3532, 9872, 1522, 581, 6757, 547, 519, 1857, 269, 7324, 519, 13269, 16002, 923, 729, 12448, 12722, 267, 945, 1419, 15034, 519, 3084, 4871, 540, 519, 476, 8687, 280, 11784, 1927, 609, 1010, 18793, 269, 634, 2962, 729, 513, 2565, 2804, 4965, 538, 519, 4182, 563, 763, 6433, 1185, 1044, 7707, 2989, 676, 519, 2034, 4871, 267, 1101, 676, 3352, 22529, 4601, 23831, 2724, 543, 1310, 519, 11784, 7018, 267, 11876, 8973, 519, 9304, 540, 4154, 547, 581, 10710, 693, 4130, 8492, 262, 13258, 607, 1134, 607, 741, 7218, 269, 634, 18793, 540, 12722, 849, 5156, 602, 519, 3084, 4871, 1185, 536, 1026, 539, 1082, 2229, 8387, 543, 14761, 676, 5356, 873, 1082, 2883, 7957, 832, 563, 1103, 476, 9264, 280, 267, 12722, 729, 1869, 538, 5604, 267, 543, 646, 13671, 593, 22956, 645, 1497, 267, 945, 729, 519, 4871, 781, 8689, 607, 1134, 607, 519, 4871, 269, 12722, 729, 10770, 547, 519, 3527, 540, 519, 4871, 607, 519, 8689, 543, 18793, 540, 519, 4871, 1193, 1882, 547, 15063, 621, 269, 589, 3943, 2006, 945, 10272, 519, 4182, 1282, 602, 942, 4767, 602, 513, 14686, 2112, 1996, 519, 4871, 1185, 1044, 10294, 676, 5518, 12448, 12722, 267, 12123, 621, 538, 2147, 19876, 7146, 24408, 2511, 267, 799, 646, 1185, 693, 835, 1448, 1031, 547, 4339, 519, 3703, 543, 12075, 563, 6097, 547, 12722, 267, 519, 1085, 28984, 729, 1010, 4161, 610, 6433, 1141, 646, 1131, 2161, 602, 519, 4871, 729, 12394, 547, 6146, 1864, 267, 855, 646, 1131, 6146, 621, 3079, 269, 1306, 942, 27636, 267, 519, 22497, 540, 519, 4871, 729, 2760, 1813, 547, 581, 17105, 1310, 1896, 1296, 269, 1717, 267, 538, 476, 8146, 273, 267, 950, 12722, 10443, 585, 519, 24164, 585, 519, 2034, 942, 267, 2038, 13359, 729, 4371, 676, 6837, 547, 556, 10461, 1125, 519, 2136, 2276, 4871, 269, 12722, 1287, 1654, 1729, 539, 519, 3915, 563, 1103, 12722, 781, 5048, 1282, 519, 1654, 1729, 267, 646, 5219, 519, 4871, 607, 5906, 543, 796, 6247, 6627, 547, 519, 1004, 781, 23118, 269, 1261, 13269, 602, 519, 22497, 2760, 1705, 7850, 3527, 547, 3382, 519, 3084, 4871, 689, 922, 6006, 14516, 538, 6628, 267, 945, 2760, 2808, 519, 1719, 540, 4892, 269, 3958, 267, 12722, 7604, 1078, 602, 519, 4871, 729, 513, 5691, 8116, 540, 519, 2229, 267, 855, 621, 9787, 539, 8128, 602, 941, 2760, 11292, 538, 519, 1876, 563, 2414, 22009, 519, 3510, 267, 519, 3084, 4871, 729, 513, 6073, 538, 799, 1134, 268, 8588, 2043, 1131, 1831, 811, 11327, 693, 519, 13258, 540, 1169, 12504, 269, 1261, 10294, 602, 519, 3532, 543, 14547, 18761, 519, 2229, 6411, 585, 741, 25796, 4128, 269, 1261, 5156, 602, 1152, 513, 3908, 2229, 602, 729, 7453, 1131, 1521, 782, 4961, 8449, 269, 4014, 519, 25430, 540, 519, 4871, 781, 22497, 729, 2760, 2469, 547, 1491, 1747, 267, 519, 4871, 1131, 1869, 1599, 585, 513, 1906, 1296, 269, 1717, 267, 538, 476, 8146, 274, 267, 547, 2569, 519, 1379, 540, 519, 4871, 267, 12722, 9859, 543, 26017, 1010, 22277, 547, 3247, 11488, 2229, 7482, 538, 519, 4871, 543, 1904, 585, 1776, 4871, 269, 1261, 10294, 602, 519, 1533, 1131, 3079, 2932, 922, 1870, 609, 930, 6074, 8492, 540, 519, 2197, 269, 31379, 5219, 547, 873, 607, 519, 4620, 8492, 540, 12722, 563, 288, 18979, 15784, 729, 1305, 1055, 676, 519, 4871, 1654, 1729, 540, 5518, 12722, 269, 4438, 602, 1974, 267, 15740, 17837, 941, 7142, 547, 3180, 513, 5870, 269, 1358, 1287, 8815, 602, 519, 2093, 540, 519, 7022, 941, 5906, 543, 30369, 547, 519, 4357, 3601, 269, 1358, 13269, 602, 12722, 4941, 547, 1747, 782, 9237, 543, 1318, 15271, 540, 782, 13348, 5328, 543, 1802, 560, 686, 748, 4961, 693, 519, 3653, 12871, 269, 769, 2110, 267, 646, 4941, 547, 581, 513, 9598, 1807, 1310, 23799, 1026, 5024, 5763, 547, 519, 27823, 4961, 610, 3843, 547, 1305, 519, 3638, 543, 519, 4057, 547, 581, 1996, 1142, 824, 547, 4341, 519, 4182, 607, 513, 1119, 7949, 538, 519, 4108, 269, 1717, 267, 1010, 18793, 1869, 26916, 1864, 269, 12722, 554, 573, 606, 18211, 7100, 689, 19280, 519, 4961, 269, 1635, 3850, 12722, 547, 16401, 519, 3532, 543, 519, 3638, 267, 519, 2112, 540, 519, 4871, 11292, 1010, 1489, 513, 1880, 11180, 2219, 547, 519, 5859, 563, 763, 3084, 4871, 781, 11685, 1287, 3989, 519, 4978, 540, 1082, 4961, 269, 16480, 267, 676, 3850, 12722, 547, 4019, 6325, 1379, 1996, 6837, 13497, 267, 519, 2112, 540, 519, 4871, 19443, 12722, 781, 2797, 14763, 538, 12180, 5906, 6411, 1996, 1864, 269, 634, 5859, 540, 645, 1497, 1287, 8604, 547, 723, 1447, 1764, 607, 1033, 847, 832, 610, 18793, 540, 12722, 5156, 269, 634, 7813, 2782, 2663, 2968, 513, 4049, 7521, 2339, 1851, 519, 1857, 267, 538, 519, 2046, 267, 543, 519, 6837, 269, 6355, 5443, 781, 1244, 20706, 26731, 538, 6115, 267, 25937, 20286, 3823, 519, 30369, 1870, 2175, 267, 3976, 5275, 606, 1439, 547, 519, 4871, 2112, 563, 763, 22557, 17367, 540, 519, 7245, 1287, 11130, 602, 519, 4390, 540, 519, 645, 1497, 538, 27200, 519, 4346, 540, 519, 4182, 1152, 12006, 543, 5059, 593, 519, 12178, 540, 519, 3844, 4871, 269, 2311, 1101, 267, 519, 25743, 1185, 7608, 519, 476, 8687, 280, 11784, 602, 621, 729, 9003, 3361, 676, 4871, 7482, 15639, 269, 1717, 267, 607, 519, 4250, 2620, 2989, 267, 519, 4182, 729, 811, 8701, 1242, 269, 898, 729, 538, 602, 942, 630, 8146, 275, 264, 602, 519, 1482, 25743, 10924, 519, 834, 2662, 12127, 257, 2012, 269, 634, 2012, 267, 2094, 519, 2296, 5428, 540, 519, 476, 1704, 628, 2540, 1996, 606, 782, 27703, 995, 14610, 267, 543, 585, 1373, 11292, 519, 5207, 14618, 6392, 563, 297, 11055, 729, 1287, 13042, 834, 21914, 12448, 594, 257, 799, 2417, 16668, 824, 2797, 27977, 547, 6813, 1864, 607, 513, 4622, 609, 513, 834, 309, 16587, 257, 13042, 521, 576, 335, 614, 269, 1717, 267, 1354, 519, 1439, 540, 476, 8146, 275, 267, 1082, 5449, 4871, 2828, 941, 29832, 755, 539, 693, 519, 2932, 540, 12722, 1141, 1256, 519, 12425, 17294, 29211, 17215, 1317, 621, 729, 676, 519, 15740, 4871, 267, 3954, 6407, 519, 3084, 4871, 269, 12722, 12758, 547, 1010, 2856, 540, 1210, 4620, 8492, 585, 519, 5313, 12074, 267, 799, 1256, 1310, 519, 1870, 5443, 5418, 12184, 267, 941, 2760, 8120, 547, 519, 2034, 4871, 269, 634, 22497, 540, 519, 4871, 1287, 1163, 1600, 538, 476, 8146, 277, 267, 1818, 12448, 12722, 3094, 519, 2112, 563, 763, 3527, 540, 12448, 12722, 941, 513, 1434, 2856, 267, 607, 646, 2808, 519, 10304, 540, 782, 1802, 560, 686, 748, 4961, 269, 634, 1292, 2832, 540, 519, 5822, 7813, 540, 519, 2136, 2276, 729, 547, 1118, 519, 1134, 268, 8588, 1004, 811, 7524, 693, 519, 13258, 540, 519, 824, 4961, 267, 799, 12722, 10353, 269, 5047, 267, 12722, 1185, 18793, 945, 5219, 547, 2933, 607, 24273, 607, 789, 941, 2141, 20938, 609, 1010, 3527, 269, 1261, 729, 519, 7022, 540, 519, 8723, 1004, 945, 1500, 1082, 4357, 14078, 543, 1870, 1004, 945, 16539, 538, 519, 3084, 4871, 547, 979, 693, 513, 2530, 269, 3571, 3527, 540, 11198, 532, 519, 5313, 12074, 538, 519, 5822, 7813, 540, 519, 2136, 2276, 543, 1904, 532, 585, 4620, 8492, 1500, 519, 25796, 4871, 8689, 543, 6067, 9037, 14761, 1651, 584, 9271, 543, 705, 728, 676, 1010, 3652, 269, 4935, 267, 835, 1522, 6813, 12722, 607, 513, 1434, 11221, 6205, 267, 945, 568, 5462, 547, 1294, 519, 1134, 5630, 540, 4961, 267, 607, 1134, 607, 3160, 3892, 540, 5313, 7482, 585, 1004, 945, 17330, 621, 563, 297, 732, 916, 7288, 267, 15623, 269, 834, 763, 7813, 2782, 281, 12448, 12722, 267, 22956, 645, 1497, 267, 543, 519, 674, 697, 585, 1977, 16010, 269, 1635, 962, 731, 2917, 6754, 918, 25301, 267, 13698, 281, 24380, 628, 565, 1889, 14539, 267, 476, 1001, 276, 269, 623, 335, 269, 1535, 4512, 267, 476, 6942, 269, 1269, 2764, 269, 876, 267, 12308, 1701, 634, 4750, 540, 9483, 3778, 476, 6507, 267, 1100, 269, 476, 273, 630, 1001, 278, 2567, 476, 277, 1724, 268, 277, 1691, 269, 1684, 328, 281, 476, 1015, 269, 6200, 278, 13478, 16573, 13078, 5881, 272, 10384, 271, 4097, 272, 454, 298, 25301, 267, 6754, 269, 834, 15578, 645, 3198, 298, 654, 2752, 281, 12448, 12722, 267, 22956, 645, 1497, 543, 519, 674, 697, 585, 1977, 16010, 1701, 11038, 3778, 476, 14138, 630, 1001, 277, 2567, 476, 2764, 269, 8158, 689, 4179, 2517, 14142, 269, 2889, 26810, 2593, 270, 13449, 1613, 11486, 6872, 20623, 6507, 273, 276, 324, 279, 325, 277, 325, 274, 2465, 10695, 322, 2568, 321, 278, 2801, 320, 3953, 322, 277, 322, 270, 272, 286, 335, 336, 268, 10594, 338, 924, 284, 7714, 3273, 541, 261, 322, 4565, 284, 3707, 277, 3451, 276, 454, 298, 11481, 267, 9410, 269, 834, 1015, 26812, 3215, 12700, 6168, 5518, 12448, 12722, 1701, 23539, 10870, 269, 23539, 10870, 267, 4864, 476, 273, 267, 476, 1001, 280, 269, 8158, 689, 4179 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 277, 282, 476, 4792, 275, 281, 14991, 268, 6795, 563, 268, 4173, 2103, 344, 1695, 681, 267, 26512, 5174, 752, 541, 30960, 269, 4347, 31637, 8760, 593, 11953, 20111, 1210, 2789, 1565, 6152, 3067, 1436, 8849, 3060, 17565, 269, 6755, 836, 267, 17111, 281, 28540, 269, 540, 4139, 10985, 593, 8950, 29093, 267, 24919, 267, 543, 10439, 1436, 269, 476, 1220, 275, 282, 533, 269, 476, 2004, 268, 7871, 563, 268, 6931, 14662, 267, 2672, 8863, 269, 4972, 540, 5295, 20996, 7177, 267, 2817, 17578, 532, 670, 7699, 2160, 670, 7562, 16644, 340, 15990, 269, 20959, 595, 3041, 476, 1220, 277, 267, 589, 10439, 6184, 18936, 3590, 585, 17183, 6778, 539, 20905, 593, 7179, 539, 18065, 8274, 269, 476, 1220, 277, 282, 476, 4968, 281, 272, 268, 275, 563, 268, 715, 298, 15595, 573, 715, 298, 267, 594, 3630, 29538, 2098, 267, 2806, 573, 514, 9049, 313, 269, 1323, 5690, 547, 1895, 12889, 593, 9102, 5547, 4604, 585, 12747, 3308, 14791, 269, 476, 1220, 279, 2904, 282, 476, 280, 263, 273, 2567, 272, 268, 1015, 563, 268, 631, 11293, 5632, 631, 293, 267, 667, 698, 2993, 8863, 267, 570, 15711, 2131, 11867, 590, 269, 4201, 11703, 20111, 14791, 6620, 281, 589, 5619, 269, 8950, 17496, 543, 12005, 4197, 269, 476, 1960, 277, 282, 476, 8287, 263, 273, 2567, 27868, 268, 27123, 563, 268, 10925, 5028, 4959, 295, 267, 594, 3630, 29538, 2098, 269, 7179, 539, 18065, 8274, 4347, 624, 24544, 4635, 19556, 5651, 874, 1108, 543, 13878, 700, 5723, 12005, 14409, 13088, 269, 20959, 476, 273, 526, 4139, 10985, 593, 4065, 5303, 543, 8950, 630, 2975, 4953, 290, 1070, 476, 1001, 271, 4873, 476, 2420, 268, 2190, 267, 6032, 269, 966, 276, 268, 3374, 280, 268, 8287, 563, 268, 594, 3630, 29538, 2098, 267, 19869, 592, 590, 267, 1325, 5025, 1777, 553, 681, 267, 1306, 1706, 2098, 269, 7844, 2861, 20111, 14791, 4480, 1210, 5951, 2280, 2981, 269, 18619, 540, 519, 476, 275, 628, 7489, 6513, 10985, 269, 476, 1220, 273, 282, 533, 269, 476, 1708, 277, 268, 3066, 563, 268, 16114, 1195, 334, 808, 267, 16677, 571, 5633, 808, 290, 267, 2725, 329, 17144, 700, 293, 267, 16114, 1195, 334, 589, 269, 20111, 6184, 18936, 4635, 12005, 14409, 543, 23027, 2280, 17992, 269, 631, 2975, 9590, 476, 1220, 278, 281, 25790, 538, 14464, 11106, 17976, 11872, 538, 8950, 3163, 269, 476, 1220, 278, 282, 476, 4366, 273, 278, 281, 277, 4097, 268, 4375, 563, 268, 623, 1872, 1794, 1156, 628, 328, 667, 267, 966, 718, 541, 14515, 6789, 269, 5510, 1467, 10886, 23779, 540, 7179, 539, 20474, 7956, 1210, 22276, 631, 10248, 6396, 540, 645, 3133, 328, 20474, 674, 2632, 269, 4095, 4750, 540, 3163, 543, 5303, 269, 476, 1001, 276, 5463, 282, 476, 279, 263, 3374, 2567, 272, 268, 275, 563, 268, 17286, 341, 698, 6951, 534, 808, 267, 14844, 541, 1690, 534, 918, 269, 7605, 755, 8131, 23779, 689, 11473, 1759, 593, 6987, 2400, 3171, 1155, 5590, 543, 17540, 21424, 29758, 520, 23990, 269, 4095, 4750, 540, 3163, 543, 5303, 269, 476, 1001, 276, 5463, 282, 476, 279, 263, 3374, 2567, 272, 268, 280, 563, 268, 18498, 808, 6347, 267, 681, 1868, 327, 13382, 269, 18948, 540, 28697, 543, 623, 2839, 2552, 9776, 6489, 31098, 12658, 3852, 497, 268, 2098, 11905, 1759, 623, 5960, 300, 3220, 1161, 269, 4095, 4750, 540, 3163, 543, 5303, 269, 476, 1001, 277, 3967, 282, 476, 280, 263, 272, 2567, 272, 268, 277, 563, 268, 1703, 616, 4867, 1100, 1201, 10587, 563, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 476, 274, 269, 271, 17821, 269, 0, 8512, 594, 281, 7827, 540, 5178, 529, 454, 288, 2078, 1063, 1079, 11282, 10321, 568, 6829, 676, 454, 1492, 1739, 11532, 563, 31628, 332, 281, 2913, 645, 815, 32647, 342, 10734, 272, 2073, 1547, 2073, 536, 562, 543, 595, 815, 32647, 342, 6831, 272, 2073, 1547, 2073, 524, 562, 581, 13279, 585, 454, 320, 6152, 2230, 966, 269, 3973, 972, 6818, 513, 2189, 562, 562, 5119, 623, 454, 272, 269, 589, 18980, 18042, 6453, 568, 2016, 676, 519, 4082, 642, 630, 339, 3738, 476, 1911, 6523, 263, 13301, 512, 476, 3393, 334, 3738, 544, 309, 1547, 4855, 519, 454, 324, 264, 634, 10545, 2318, 1871, 540, 512, 693, 799, 642, 284, 271, 563, 325, 264, 634, 10545, 2318, 1871, 540, 512, 693, 799, 546, 341, 7933, 339, 284, 271, 454, 272, 269, 6333, 519, 5547, 3254, 593, 519, 1318, 563, 5416, 264, 6904, 1019, 3941, 616, 6806, 543, 799, 835, 616, 1930, 888, 6357, 264, 27539, 476, 271, 269, 278, 309, 6749, 2066, 1142, 4464, 1532, 328, 1078, 26534, 454, 663, 1265, 27215, 563, 273, 269, 5565, 4998, 1019, 3941, 616, 5116, 538, 513, 5547, 3254, 2630, 912, 5416, 264, 14419, 530, 454, 2793, 10933, 281, 772, 14566, 9517, 10778, 19370, 476, 272, 630, 1428, 2798, 281, 476, 276, 2798, 1142, 994, 23737, 519, 1739, 2474, 912, 263, 274, 264, 9577, 7313, 5793, 454, 876, 772, 544, 8072, 290, 2316, 262, 299, 297, 630, 277, 270, 2676, 290, 876, 2048, 296, 685, 278, 14673, 8072, 337, 8072, 282, 968, 262, 16852, 8072, 267, 2073, 274, 267, 910, 318, 282, 269, 333, 10086, 23807, 480, 630, 304, 16282, 262, 344, 772, 454, 6889, 540, 1022, 454, 3583, 892, 575, 332, 892, 631, 8072, 2108, 892, 8072, 10634, 268, 1280, 476, 271, 269, 2048, 343, 13624, 297, 301, 8072, 309, 297, 304, 267, 595, 18089, 279, 286, 6515, 16667, 0, 2710, 2758, 4030, 593, 912, 298, 777, 657, 328, 7203, 19265, 16685, 454, 23192, 8995, 607, 513, 4158, 2699, 12162, 983, 5312, 2960, 10510, 540, 519, 2539, 7953, 1547, 898, 3576, 1296, 547, 22037, 553, 1125, 543, 1223, 581, 12725, 1191, 551, 539, 610, 5701, 676, 21512, 269, 2060, 4417, 540, 7486, 891, 15087, 941, 1287, 7074, 593, 17657, 543, 670, 261, 301, 3148, 269, 1879, 536, 343, 540, 1007, 15087, 3144, 267, 4173, 6647, 476, 279, 9863, 547, 581, 606, 2404, 3815, 269, 1879, 7486, 3461, 2016, 4761, 8102, 656, 543, 6669, 585, 3267, 5649, 811, 454, 25413, 5160, 2860, 281, 898, 568, 513, 4686, 2860, 540, 519, 2571, 8031, 799, 2408, 607, 6659, 2699, 610, 13711, 15087, 540, 519, 2960, 610, 538, 519, 16298, 540, 519, 16063, 8778, 269, 898, 666, 2049, 538, 4761, 19847, 2550, 267, 1346, 609, 4359, 554, 643, 21669, 1749, 543, 11361, 2367, 269, 27834, 3928, 616, 476, 2004, 268, 2568, 260, 543, 2126, 3681, 13141, 331, 8775, 6391, 267, 5982, 267, 18068, 630, 611, 341, 2331, 2665, 1040, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 12831, 1742, 281, 29518, 657, 328, 32646, 19265, 568, 513, 30279, 3599, 540, 519, 1973, 6077, 3774, 282, 621, 666, 2049, 538, 2367, 540, 1647, 9456, 16350, 543, 568, 2356, 711, 10728, 267, 621, 666, 849, 2408, 609, 7486, 630, 12000, 4809, 264, 1547, 634, 15087, 2356, 2408, 607, 1625, 680, 880, 27894, 593, 519, 2960, 269, 1358, 949, 849, 2408, 538, 519, 5023, 610, 22542, 8778, 543, 666, 581, 513, 2014, 540, 11702, 269, 6884, 789, 666, 1831, 11213, 952, 789, 3356, 538, 2450, 269, 16593, 602, 713, 568, 5363, 269, 3267, 5649, 811, 454, 306, 7219, 5288, 269, 1471, 30844, 281, 1703, 616, 1100, 1808, 5933, 267, 855, 519, 9998, 1106, 540, 31872, 568, 2356, 2759, 10389, 630, 338, 7219, 15087, 1070, 799, 666, 581, 7646, 610, 4049, 4470, 593, 875, 3573, 621, 568, 269, 4658, 609, 3573, 31872, 610, 811, 4359, 6375, 657, 6269, 1833, 666, 1020, 1471, 30844, 31872, 281, 9525, 540, 4835, 8219, 971, 607, 519, 22542, 8778, 610, 9641, 269, 2986, 1346, 267, 5761, 9525, 568, 2356, 814, 519, 10782, 23567, 269, 3267, 5649, 811, 454, 8253, 3533, 281, 918, 338, 538, 519, 5023, 568, 1100, 3476, 513, 1455, 2068, 1851, 11226, 2550, 267, 865, 649, 798, 711, 1294, 607, 1082, 2665, 607, 649, 4718, 538, 519, 476, 3445, 338, 269, 1703, 616, 513, 1297, 540, 5023, 17244, 602, 1223, 1413, 899, 31872, 267, 602, 616, 2484, 811, 1455, 982, 31872, 269, 1323, 5711, 11940, 6242, 23707, 568, 513, 5266, 2653, 543, 1928, 1652, 5650, 602, 786, 9090, 948, 12172, 1022, 22027, 269, 4495, 513, 23707, 568, 5833, 267, 621, 568, 606, 2653, 5868, 547, 1118, 269, 3267, 5649, 811, 454, 29995, 4413, 525, 621, 281, 1411, 4280, 827, 713, 1354, 269, 589, 9221, 1535, 2001, 3592, 2141, 786, 4413, 29518, 657, 328, 32646, 19265, 267, 799, 3085, 1405, 2356, 2014, 5761, 610, 9221, 2042, 269, 1403, 2576, 3085, 1405, 723, 23794, 2960, 15087, 267, 789, 723, 2370, 4960, 540, 2348, 621, 9170, 3116, 538, 519, 1560, 269, 1403, 596, 2611, 7255, 267, 1865, 609, 707, 2123, 10629, 269, 3267, 5649, 811, 454, 9989, 737, 777, 657, 328, 32646, 19265, 1025, 21123, 950, 596, 7903, 1524, 593, 621, 267, 972, 814, 1044, 513, 27295, 593, 1250, 6186, 602, 568, 538, 519, 7750, 1388, 6522, 320, 267, 950, 1775, 8831, 910, 621, 7140, 3043, 15017, 298, 4338, 5308, 296, 590, 2752, 4596, 7246, 281, 918, 4338, 5308, 296, 590, 2752, 4596, 7246, 25758, 681, 2752, 5085, 312, 10323, 2894, 715, 8582, 667, 17751, 306, 23166, 5990, 5442, 290, 3918, 3008, 5058, 14877, 27749, 623, 5588, 7728, 4888, 2316, 3918, 307, 4629, 309, 7644, 28940, 269, 5990, 312, 25758, 2475, 308, 3201, 14877, 623, 7838, 303, 4041, 23360, 6730, 27114, 744, 6717, 7838, 10396, 700, 9680, 306, 270, 8121, 300, 270, 8025, 3036, 288, 311, 299, 7419, 14899, 270, 22835, 13138, 16898, 269, 24199, 2475, 308, 3201, 14877, 670, 4338, 8976, 27602, 23166, 966, 28475, 670, 26996, 966, 7644, 3201, 29486, 4696, 1299, 11748, 6730, 966, 28475, 700, 8582, 570, 595, 21822, 2910, 7419, 4811, 269, 17692, 9358, 25758, 5442, 14701, 3633, 7486, 1341, 590, 7417, 22400, 9517, 9501, 4488, 24361, 8780, 1299, 667, 2207, 300, 269, 717, 4953, 700, 5723, 306, 23414, 4047, 290, 298, 3633, 6730, 20591, 290, 4785, 306, 20525, 16739, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 7197, 855, 711, 782, 281, 769, 519, 772, 2529, 269, 898, 781, 6140, 1813, 547, 11226, 269, 1717, 267, 31872, 666, 2049, 538, 554, 643, 24308, 1004, 269, 834, 754, 2438, 31872, 257, 4386, 538, 1762, 19052, 2367, 945, 1810, 1405, 723, 554, 643, 267, 543, 834, 5035, 545, 257, 31872, 5540, 1647, 2085, 2367, 540, 1199, 10882, 610, 9925, 880, 16350, 269, 918, 338, 666, 849, 2049, 538, 1004, 945, 616, 6375, 657, 6269, 5962, 1813, 547, 18068, 610, 1418, 24328, 269, 3267, 5649, 811, 454, 1692, 1279, 1281, 1480, 15601, 476, 279, 3644, 2073, 519, 835, 602, 3123, 737, 777, 657, 328, 32646, 19265, 267, 2661, 3544, 519, 1560, 593, 513, 7450, 6023, 888, 8133, 281, 4208, 798, 596, 2307, 286, 1403, 596, 616, 7486, 2318, 267, 972, 616, 1082, 824, 7399, 547, 2491, 17422, 2589, 269, 29518, 657, 328, 781, 19082, 2059, 519, 32248, 694, 24473, 540, 519, 9641, 543, 786, 581, 7298, 547, 519, 10237, 6048, 607, 2799, 26300, 527, 658, 24795, 952, 621, 568, 31916, 269, 594, 993, 19914, 596, 616, 1072, 6857, 269, 7454, 16858, 269, 3267, 5649, 811, 454, 298, 777, 657, 328, 729, 281, 634, 13711, 3983, 613, 693, 519, 4463, 540, 519, 7486, 6433, 267, 855, 568, 711, 2938, 1360, 4749, 693, 782, 538, 519, 2085, 540, 3810, 3742, 4550, 3146, 339, 22201, 12637, 3797, 269, 1284, 917, 602, 1004, 609, 1970, 524, 323, 268, 275, 12523, 543, 22905, 10194, 13907, 616, 588, 559, 693, 1981, 585, 782, 540, 519, 834, 9404, 684, 665, 20234, 668, 2213, 257, 3676, 267, 855, 3909, 569, 635, 2993, 656, 554, 643, 266, 11570, 4122, 723, 8375, 524, 323, 268, 275, 12523, 543, 32373, 762, 554, 643, 269, 4032, 338, 711, 942, 256, 3267, 5649, 811, 454, 3528, 4214, 267, 621, 568, 23872, 630, 328, 4318, 1421, 1373, 12725, 12362, 543, 693, 2547, 5376, 6776, 331, 958, 5827, 540, 22037, 553, 1944, 1070, 543, 14340, 689, 1315, 13147, 923, 4887, 610, 24561, 5160, 2609, 602, 616, 711, 20768, 610, 4761, 1315, 3043, 2281, 269, 634, 32646, 1260, 553, 616, 513, 14831, 3585, 9867, 543, 13542, 727, 1920, 540, 12970, 267, 1498, 9684, 2685, 1447, 1455, 982, 15910, 5557, 543, 519, 26679, 1315, 3267, 5649, 811, 0, 8512, 540, 713, 7084, 781, 2262, 532, 568, 6273, 676, 519, 2699, 12874, 14456, 6424, 27213, 693, 519, 2160, 540, 9098, 269, 8729, 267, 25272, 2336, 28606, 17067, 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 ]
[ 0, 2878, 16215, 476, 272, 281, 23433, 10960, 2806, 1988, 4373, 8702, 547, 938, 1101, 1770, 1141, 649, 786, 2263, 930, 540, 519, 1034, 5863, 543, 2189, 3662, 5759, 256, 3245, 2706, 4222, 547, 6909, 3432, 267, 2831, 723, 9862, 930, 9058, 1983, 547, 948, 873, 7639, 538, 741, 5054, 269, 5620, 596, 2479, 9289, 875, 17605, 666, 4163, 3615, 1082, 2053, 18219, 982, 2933, 610, 1946, 31450, 666, 2490, 741, 9843, 3592, 782, 519, 1259, 1472, 286, 2913, 779, 4685, 883, 519, 4241, 1158, 540, 3662, 14624, 1927, 2439, 1262, 4089, 476, 272, 281, 8111, 23848, 4373, 5278, 2831, 4865, 6909, 2168, 1379, 3379, 547, 741, 2450, 269, 4165, 338, 267, 585, 3236, 267, 666, 12740, 543, 4163, 3688, 602, 9260, 909, 547, 476, 2004, 2053, 741, 1378, 1560, 2597, 256, 2334, 779, 899, 513, 1480, 17666, 513, 1286, 4904, 609, 1004, 269, 1358, 3035, 713, 9028, 676, 2348, 2178, 6091, 543, 606, 608, 18929, 13987, 1107, 513, 2182, 5007, 8720, 602, 2488, 1489, 543, 4027, 269, 901, 4999, 2636, 17605, 547, 1847, 5230, 13907, 7561, 2066, 1279, 9883, 780, 5194, 11141, 1383, 540, 2706, 4222, 2501, 689, 6263, 1216, 12217, 267, 849, 1634, 607, 512, 731, 580, 10232, 269, 1452, 18784, 7068, 2661, 538, 3309, 9249, 971, 607, 3037, 267, 6978, 16445, 267, 543, 1256, 2620, 5498, 320, 512, 29168, 269, 1879, 2175, 1831, 10792, 267, 971, 607, 1282, 26221, 610, 3665, 5210, 267, 1216, 12217, 1225, 331, 909, 883, 513, 3440, 1572, 513, 7113, 543, 4283, 513, 1533, 1572, 6939, 11893, 2670, 269, 4438, 713, 942, 267, 789, 6336, 5176, 782, 10408, 1216, 543, 2408, 4625, 13204, 3603, 269, 1717, 267, 2899, 15028, 2175, 2132, 267, 789, 556, 5139, 3433, 543, 16056, 3339, 2534, 269, 1809, 1934, 779, 519, 14736, 518, 910, 950, 2847, 1882, 267, 1216, 12217, 666, 11851, 4229, 6697, 547, 476, 272, 267, 1822, 2053, 741, 1560, 2597, 256, 5994, 1373, 2111, 547, 4584, 909, 513, 7372, 536, 30629, 1310, 6704, 1152, 835, 4837, 540, 1216, 269, 3767, 602, 1131, 581, 7168, 3579, 2439, 1262, 4089, 476, 273, 281, 31453, 1308, 28438, 697, 4373, 6624, 2831, 7048, 8185, 593, 741, 2631, 540, 8289, 547, 6330, 741, 10450, 269, 15083, 3149, 267, 4583, 585, 741, 2647, 4064, 543, 30148, 10122, 23258, 267, 30107, 11108, 5075, 269, 4256, 1804, 3750, 27750, 1683, 2799, 1769, 8417, 1813, 547, 811, 2584, 648, 1061, 528, 2281, 14095, 3330, 1142, 3750, 269, 5047, 267, 8685, 983, 11057, 4064, 2285, 31450, 10822, 22811, 5075, 267, 7175, 873, 547, 7447, 9883, 8308, 543, 10502, 12398, 10352, 269, 1924, 267, 1247, 3425, 949, 6560, 547, 1294, 5693, 538, 27452, 1396, 5624, 267, 31450, 8853, 896, 1346, 1482, 2175, 780, 291, 16400, 13219, 616, 1776, 1895, 540, 2831, 609, 7415, 3308, 7207, 269, 2060, 936, 476, 1789, 267, 1822, 14485, 11231, 538, 513, 7623, 3750, 267, 15743, 13219, 2972, 31858, 25271, 5784, 540, 741, 1604, 269, 3962, 7828, 19306, 513, 1507, 6712, 540, 519, 2949, 6429, 267, 3850, 15743, 13219, 547, 3713, 3350, 3533, 543, 2746, 9935, 269, 1280, 6476, 267, 4952, 3843, 547, 4585, 2789, 7641, 13819, 8195, 282, 621, 1522, 3280, 4101, 267, 855, 15743, 13219, 7485, 1055, 713, 9028, 24672, 780, 1262, 4089, 476, 274, 281, 3816, 1046, 762, 26504, 4373, 2304, 7769, 4159, 4230, 15929, 6043, 1996, 1585, 2825, 2591, 269, 6875, 519, 3979, 17707, 267, 585, 1383, 269, 4706, 2960, 568, 11212, 5394, 543, 9157, 267, 7893, 1063, 476, 271, 269, 4037, 547, 476, 272, 10759, 630, 273, 268, 273, 269, 276, 4699, 264, 538, 3178, 269, 6736, 922, 10373, 2450, 267, 606, 2937, 17707, 1869, 2115, 547, 2149, 3294, 689, 29287, 3141, 14315, 267, 15495, 267, 543, 8325, 3615, 269, 18479, 17100, 1419, 946, 16095, 31725, 543, 7452, 29636, 547, 1832, 741, 2960, 5848, 28962, 543, 13104, 539, 689, 5739, 11158, 12345, 269, 1635, 3257, 865, 267, 789, 2226, 2635, 2960, 1247, 11972, 3665, 5210, 8151, 689, 16171, 4411, 17334, 547, 1085, 528, 4221, 3905, 2395, 780, 1103, 4334, 267, 1978, 2249, 8858, 7415, 8112, 538, 15268, 547, 1114, 8134, 269, 634, 1977, 32613, 1807, 2729, 20354, 1312, 538, 15195, 2220, 10102, 543, 15741, 880, 9381, 23047, 1127, 2059, 519, 25878, 2136, 2276, 23795, 269, 2353, 580, 2209, 4865, 7463, 6070, 15374, 2282, 741, 4064, 543, 11469, 267, 4543, 873, 1163, 601, 4430, 20919, 12842, 689, 26869, 269, 1306, 513, 1267, 267, 789, 666, 3362, 6467, 1063, 9249, 4470, 593, 1426, 8244, 543, 2916, 2242, 780, 3086, 602, 596, 4312, 4121, 827, 891, 9735, 3662, 5759, 267, 2015, 875, 789, 5351, 6668, 538, 1585, 5054, 269, 6056, 827, 824, 2831, 596, 917, 543, 4898, 1018, 2189, 15421, 789, 949, 4865, 269, 5457, 267, 2470, 2760, 2781, 1162, 547, 993, 10270, 721, 609, 922, 11995, 5876, 543, 5647, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 616, 5339, 11964, 286, 1684, 789, 2965, 2339, 547, 3988, 286, 1215, 827, 547, 5830, 286, 1548, 2010, 540, 5339, 11964, 2291, 286, 1656, 952, 596, 2811, 513, 5856, 267, 875, 798, 596, 6430, 799, 9135, 547, 2328, 538, 888, 2414, 2253, 547, 1589, 827, 5339, 11964, 267, 1577, 781, 1376, 609, 606, 1383, 563, 4131, 781, 2161, 1616, 547, 1224, 1945, 269, 1411, 979, 547, 513, 21869, 648, 610, 5577, 5196, 513, 4558, 2228, 610, 979, 547, 513, 5399, 563, 3719, 3079, 540, 513, 8799, 1268, 9849, 2542, 14296, 543, 513, 3556, 10247, 6998, 596, 1018, 2835, 596, 899, 543, 1287, 3206, 998, 1169, 1433, 2479, 2854, 547, 1265, 596, 519, 1985, 3501, 1224, 630, 604, 602, 1268, 11478, 267, 585, 519, 2594, 267, 789, 1131, 581, 1250, 5172, 1268, 1070, 596, 2811, 5185, 609, 713, 281, 9343, 543, 9343, 540, 2835, 609, 10297, 593, 519, 21684, 899, 968, 24145, 776, 11470, 2223, 968, 9199, 767, 2223, 968, 27270, 2223, 968, 16631, 11470, 2223, 543, 865, 593, 563, 2791, 3247, 693, 519, 6316, 540, 519, 21869, 648, 543, 1175, 1796, 972, 585, 513, 1247, 267, 588, 22981, 269, 968, 1432, 798, 782, 540, 891, 10297, 1256, 1611, 286, 17373, 1656, 1287, 596, 3802, 856, 540, 519, 4558, 563, 7775, 6148, 596, 2811, 1603, 513, 1433, 267, 543, 2576, 12134, 596, 513, 2243, 899, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4462, 1664, 10960, 2806, 1988, 257, 607, 851, 540, 834, 16300, 13493, 1315, 12292, 1315, 4937, 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, 20821, 18332, 19090, 18999, 323, 749, 267, 513, 812, 945, 5030, 936, 513, 4627, 1296, 3516, 855, 4171, 1764, 593, 2069, 666, 1869, 581, 5433, 2221, 256, 7982, 1287, 267, 3478, 513, 3318, 2069, 899, 4742, 513, 15818, 610, 4387, 7012, 1405, 11295, 1360, 1134, 269, 4658, 1223, 1831, 17864, 1310, 2542, 930, 2835, 267, 1256, 952, 789, 4769, 1405, 723, 1454, 6101, 2069, 25656, 269, 2334, 782, 4957, 950, 6004, 269, 18999, 323, 749, 2968, 519, 632, 534, 540, 12370, 4521, 3427, 630, 1492, 1283, 1876, 1153, 538, 519, 2197, 14386, 1063, 476, 6942, 271, 543, 476, 6245, 276, 780, 16031, 269, 18999, 323, 749, 5189, 1082, 1007, 3652, 602, 1500, 1565, 827, 1876, 811, 6896, 543, 2500, 1107, 865, 1454, 865, 602, 891, 2242, 5555, 3262, 3564, 1175, 1876, 3506, 543, 6766, 875, 649, 4001, 4915, 267, 4702, 267, 543, 6266, 540, 824, 5396, 269, 2913, 781, 2263, 2947, 2101, 9283, 646, 4547, 547, 3656, 2069, 1384, 272, 269, 17553, 1164, 7127, 4170, 281, 6969, 11836, 12370, 4521, 3427, 267, 596, 1185, 547, 2743, 1978, 4081, 7355, 282, 621, 7012, 1406, 2614, 15042, 547, 3274, 1224, 930, 2835, 269, 901, 24458, 3025, 3323, 741, 2090, 609, 2147, 4282, 1702, 269, 6056, 827, 707, 1378, 5049, 910, 9327, 1406, 621, 581, 2352, 952, 2576, 8678, 945, 22821, 1405, 4121, 1022, 540, 519, 1482, 1919, 607, 596, 888, 273, 269, 5029, 1944, 4245, 538, 1931, 281, 5994, 3843, 547, 1451, 2979, 4358, 609, 4359, 7223, 3079, 540, 1840, 1101, 256, 898, 1131, 581, 14845, 267, 1318, 286, 4270, 267, 713, 5949, 1394, 1287, 538, 1876, 3506, 2394, 6004, 269, 18999, 323, 749, 11231, 6030, 538, 513, 9266, 5311, 267, 4098, 609, 12863, 2035, 543, 7930, 3001, 2509, 1950, 3283, 269, 3807, 899, 2679, 7161, 267, 1142, 1362, 5280, 4020, 1620, 585, 2104, 3584, 563, 274, 269, 18227, 909, 519, 1434, 960, 281, 4495, 15861, 267, 1053, 2877, 547, 2226, 1808, 9344, 2429, 741, 942, 693, 12370, 4521, 3427, 269, 901, 12592, 873, 547, 2141, 798, 741, 1655, 543, 3251, 5059, 593, 741, 3853, 269, 1411, 4440, 1995, 1945, 2147, 538, 707, 1378, 5049, 1932, 2336, 275, 269, 5900, 24219, 1390, 3610, 281, 11334, 616, 2629, 585, 3811, 1565, 2833, 269, 1635, 2870, 2407, 6066, 3450, 7158, 1572, 834, 2889, 13940, 832, 2437, 6004, 269, 18999, 323, 749, 13631, 16805, 2043, 6131, 9003, 547, 18997, 2104, 17864, 269, 1452, 16929, 5342, 1382, 267, 3370, 4930, 267, 543, 7683, 4824, 741, 2409, 267, 4180, 1053, 4607, 5969, 12967, 6044, 563, 276, 269, 3690, 14127, 8021, 281, 5620, 596, 2479, 2219, 540, 8021, 607, 4376, 811, 982, 9602, 4025, 4904, 609, 588, 2931, 540, 2835, 286, 1280, 4505, 5481, 267, 602, 781, 4010, 1018, 789, 941, 269, 1809, 896, 6004, 269, 18999, 323, 749, 781, 5583, 267, 8021, 9927, 883, 6422, 7740, 540, 14172, 1141, 1312, 1053, 543, 3610, 15600, 2200, 1898, 585, 29947, 741, 1620, 269, 4653, 267, 938, 8021, 3136, 547, 11457, 25274, 1247, 5329, 9800, 519, 2245, 540, 3246, 3407, 1344, 693, 938, 31840, 780, 12552, 547, 18332, 19090, 18999, 323, 749, 267, 2469, 547, 1876, 1153, 1631, 3322, 11826, 2866, 543, 3102, 1353, 269, 1656, 7058, 1018, 286, 3509, 824, 4610, 4553, 9290, 256, 1924, 1985, 942, 596, 1265, 3054, 14952, 532, 693, 7760, 538, 1585, 2127, 540, 6791, 267, 3314, 972, 1522, 581, 513, 2370, 3787, 540, 18999, 323, 749, 781, 9371, 12018, 1346, 10781, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13731, 9372, 19090, 18999, 323, 749, 630, 9264, 277, 268, 5002, 277, 264, 729, 5310, 519, 1034, 9565, 4137, 538, 519, 1686, 540, 3656, 2069, 538, 519, 2136, 2276, 269, 1261, 8032, 519, 2413, 1876, 1153, 676, 10962, 513, 1297, 540, 1713, 15024, 1282, 1010, 26022, 607, 632, 534, 540, 12370, 4521, 3427, 630, 295, 11862, 264, 689, 476, 6942, 271, 547, 476, 6245, 276, 269, 11569, 267, 18999, 323, 749, 949, 1134, 581, 519, 1034, 9565, 4137, 538, 519, 1686, 540, 1977, 3318, 2069, 1317, 646, 3964, 693, 670, 11862, 267, 609, 519, 948, 540, 5518, 8176, 654, 269, 18379, 582, 267, 519, 2203, 585, 14206, 10601, 3318, 3506, 269, 476, 3571, 10124, 27137, 607, 5934, 4081, 4441, 585, 16075, 547, 4110, 6596, 2329, 267, 513, 28439, 543, 18615, 6437, 267, 5934, 4081, 4441, 585, 27402, 538, 513, 4110, 1982, 267, 513, 2024, 3645, 4876, 3950, 585, 12200, 2818, 267, 543, 519, 7004, 540, 519, 5399, 689, 513, 1837, 23789, 883, 513, 14046, 4199, 476, 2443, 13069, 877, 519, 2343, 547, 799, 3056, 1876, 3506, 267, 2564, 3506, 267, 543, 267, 6368, 267, 3506, 540, 824, 22825, 538, 519, 14206, 2540, 607, 18944, 269, 2549, 334, 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, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 1895, 3069, 267, 4481, 3695, 14245, 540, 2516, 269, 901, 1523, 814, 2484 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5840, 729, 6849, 1082, 2591, 543, 2352, 3664, 269, 1809, 3079, 540, 3478, 16397, 610, 11821, 267, 891, 2367, 11542, 856, 1317, 789, 834, 25969, 519, 2053, 257, 543, 6785, 1018, 519, 1318, 3364, 547, 798, 729, 630, 272, 20048, 2873, 476, 1321, 281, 3953, 1040, 14348, 333, 1405, 621, 581, 1390, 952, 649, 1223, 798, 602, 1932, 286, 2913, 781, 2263, 875, 649, 666, 1246, 538, 519, 3723, 25074, 540, 519, 9093, 540, 9129, 778, 541, 780, 4089, 476, 272, 281, 1548, 6496, 898, 6399, 547, 834, 308, 2955, 519, 8648, 257, 2496, 2691, 649, 2911, 827, 834, 24483, 519, 2053, 2580, 649, 1611, 3843, 547, 1118, 2631, 540, 1018, 568, 8345, 538, 938, 1158, 2221, 1107, 519, 2152, 267, 3466, 267, 543, 2418, 602, 3337, 938, 2486, 269, 3807, 899, 538, 519, 942, 540, 519, 9093, 540, 9129, 778, 541, 267, 972, 616, 7899, 540, 1919, 12721, 585, 938, 3007, 543, 14336, 4800, 269, 1635, 3168, 5702, 693, 519, 3377, 267, 1514, 2923, 267, 543, 1256, 938, 1378, 2950, 267, 649, 666, 1376, 547, 5431, 3270, 543, 4798, 602, 948, 721, 1732, 9787, 1141, 649, 616, 543, 1141, 649, 1522, 581, 16144, 780, 12244, 281, 5620, 1053, 2097, 909, 609, 1614, 1699, 2621, 610, 3466, 789, 4312, 8068, 5063, 269, 3973, 267, 2307, 873, 547, 1589, 827, 875, 1346, 2621, 9305, 547, 835, 1776, 543, 1865, 1022, 1455, 16060, 602, 10836, 269, 1280, 1383, 267, 6148, 1896, 2984, 31721, 1472, 11587, 2509, 1866, 267, 6029, 602, 8296, 568, 12595, 3810, 538, 2221, 781, 2528, 780, 4089, 476, 273, 281, 16792, 19978, 27067, 4653, 692, 3086, 602, 649, 917, 1018, 621, 1797, 547, 1174, 519, 2053, 267, 1577, 781, 3142, 538, 519, 7326, 540, 519, 6426, 256, 7335, 543, 4974, 519, 6426, 3947, 721, 4030, 883, 1480, 2470, 267, 3347, 267, 543, 5837, 5079, 602, 1869, 8258, 3020, 2221, 269, 1284, 949, 7237, 3871, 610, 21140, 602, 5749, 1405, 12799, 5018, 538, 23075, 267, 855, 922, 10752, 1683, 15851, 3741, 602, 3391, 721, 538, 1818, 8797, 3664, 780, 7078, 281, 6056, 1394, 547, 12253, 267, 513, 812, 2713, 538, 24815, 2484, 2476, 689, 1010, 22657, 269, 1261, 5185, 2604, 547, 14883, 547, 519, 20770, 1014, 4622, 781, 2081, 267, 1519, 4189, 1426, 14894, 539, 547, 7329, 11169, 269, 5502, 540, 4758, 538, 267, 12253, 8359, 547, 2611, 21705, 547, 2696, 543, 1336, 513, 1259, 547, 31635, 7771, 519, 2709, 1247, 4509, 1010, 8699, 630, 25405, 1408, 476, 272, 281, 279, 268, 1626, 1040, 6684, 267, 12322, 2221, 3068, 9263, 2604, 547, 3514, 538, 610, 2119, 1007, 1919, 602, 1810, 1405, 5447, 609, 741, 4978, 269, 1635, 10452, 593, 12253, 781, 1650, 267, 789, 666, 1265, 6667, 543, 10100, 547, 3251, 3020, 547, 2933, 780, 4089, 476, 274, 281, 12389, 4934, 2659, 18321, 538, 519, 2622, 692, 763, 3803, 1900, 538, 1620, 519, 2053, 543, 7311, 13400, 7326, 568, 8380, 621, 782, 883, 2962, 256, 9861, 513, 1268, 540, 5132, 3085, 1405, 1175, 1611, 2469, 547, 5939, 610, 2542, 707, 6426, 282, 621, 849, 3322, 4687, 2696, 781, 2648, 543, 11419, 609, 1866, 269, 1879, 649, 957, 2687, 547, 938, 31710, 543, 1521, 3025, 609, 11587, 543, 2463, 267, 649, 1831, 2318, 7506, 1369, 938, 3885, 267, 3506, 267, 543, 2950, 780, 12244, 281, 11559, 1053, 547, 1711, 513, 1544, 585, 8026, 13400, 7326, 538, 741, 4948, 2729, 269, 9320, 789, 6430, 547, 1796, 909, 585, 2576, 1373, 13032, 1221, 267, 3442, 19969, 936, 26760, 267, 610, 3274, 6432, 18906, 1947, 547, 513, 1362, 22940, 10010, 609, 513, 1966, 269, 21894, 741, 3527, 267, 7618, 873, 602, 1169, 2370, 3787, 2306, 513, 3017, 780, 6962, 912, 9617, 899, 519, 9093, 540, 9129, 778, 541, 267, 649, 1932, 666, 11441, 547, 1174, 519, 2053, 543, 4431, 20617, 269, 1635, 9256, 4656, 540, 938, 2413, 2796, 609, 519, 5583, 3177, 676, 7097, 1116, 7326, 267, 1053, 666, 6330, 741, 7141, 1296, 18390, 543, 5132, 2685, 269, 1306, 789, 1332, 4587, 267, 891, 6208, 543, 2853, 786, 4196, 873, 1134, 2429, 741, 2937, 2729, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 2487, 2395, 267, 1250, 2247, 814, 1044, 840, 31039, 609, 519, 726, 697, 540, 5375, 2486, 267, 543, 4481, 267, 519, 1533, 540, 519, 5783, 693, 1804, 538, 3013, 269, 11153, 2621, 723, 15748, 713, 840, 21232, 566, 543, 1631, 27721, 547, 1128, 580, 622, 713, 1603, 540, 713, 2376, 269, 10738, 513, 1974, 540, 1175, 4557, 2395, 267, 594, 1185, 519, 1739, 2185, 2833, 912, 2108, 24464, 540, 9129, 778, 541, 267, 945, 6956, 519, 2053, 543, 6785, 1018, 5840, 1058, 798, 1848, 476, 272, 20048, 2873, 476, 1321, 281, 3953, 630, 301, 4353, 994, 272, 269, 1323, 3573, 6049, 6643, 609, 513, 2673, 543, 900, 514, 1836, 21616, 4168, 7015, 3762, 803, 609, 513, 2631, 540, 19727, 543, 7096, 6161, 269, 834, 296, 2503, 519, 1158, 547, 711, 1174, 1946, 594, 1616, 547, 2661, 513, 13411, 1272, 2437, 713, 3659, 26564, 267, 834, 8117, 950, 594, 3717, 538, 713, 6073, 547, 1082, 1004, 538, 519, 5939, 267, 789, 1413, 693, 803, 899, 594, 6415, 10808, 269, 1937, 572, 982, 602, 267, 2818, 540, 519, 5939, 666, 2661, 538, 1930, 18326, 1996, 2696, 781, 4031, 609, 1100, 4539, 1701, 634, 7138, 1194, 3210, 799, 713, 3659, 1419, 11392, 538, 6643, 568, 711, 4553, 676, 930, 1106, 540, 24895, 799, 14380, 547, 512, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 19978, 5525, 1315, 6426, 5530, 20929, 1315, 5440, 673, 5525, 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, 5149, 476, 1015, 281, 8682, 6953, 27626, 11150, 585, 5441, 4841, 13958, 2216, 609, 11838, 281, 29760, 593, 16508, 19938, 692, 7072, 912, 1103, 2221, 781, 3728, 19550, 1158, 267, 23206, 4347, 7228, 15214, 13808, 13081, 630, 4696, 8461, 264, 814, 4299, 6634, 540, 2043, 267, 1519, 10708, 543, 1762, 4079, 11504, 2852, 269, 901, 14715, 2783, 1419, 28107, 3294, 998, 1585, 2591, 971, 607, 7965, 23622, 267, 9363, 6896, 267, 19551, 1898, 3877, 267, 543, 15725, 4664, 269, 1280, 2937, 1453, 540, 6219, 705, 22852, 267, 891, 2591, 666, 581, 1256, 811, 14733, 1813, 547, 1071, 31507, 2590, 4713, 543, 2825, 2188, 269, 769, 713, 1770, 267, 649, 786, 2263, 2963, 2861, 1582, 25298, 2994, 602, 3895, 3929, 7939, 1983, 543, 2087, 2949, 2298, 540, 1272, 585, 2852, 1053, 8995, 609, 11838, 780, 4089, 476, 272, 281, 4197, 11838, 543, 922, 8177, 593, 5441, 4841, 692, 4696, 8461, 568, 6353, 676, 10770, 3270, 540, 5409, 5562, 267, 791, 14601, 267, 543, 538, 3430, 550, 633, 5615, 7133, 3232, 8647, 2066, 2789, 5468, 630, 13563, 5369, 12278, 5948, 267, 476, 1001, 274, 1040, 634, 1764, 540, 11838, 11498, 3564, 6689, 883, 15296, 267, 1141, 621, 7506, 4081, 9740, 267, 960, 2773, 267, 14375, 3347, 267, 543, 2790, 1072, 4093, 269, 5441, 1053, 609, 3768, 328, 30938, 610, 15860, 11838, 3068, 1713, 7496, 538, 8236, 4081, 1967, 543, 4509, 1134, 5630, 1282, 713, 2565, 11095, 3942, 269, 4475, 267, 2038, 8446, 543, 6304, 616, 2629, 547, 19086, 2942, 4539, 780, 4089, 476, 273, 281, 3213, 14114, 764, 584, 5270, 540, 11838, 543, 28548, 18816, 7324, 560, 5441, 4841, 692, 22137, 2303, 513, 1164, 9860, 2557, 540, 635, 12643, 7190, 1063, 11838, 543, 6219, 946, 4713, 1851, 2852, 5095, 269, 27051, 476, 1839, 260, 540, 1004, 5275, 2126, 585, 6219, 6057, 849, 2743, 7355, 585, 11838, 630, 298, 612, 2401, 1696, 620, 1421, 476, 1220, 277, 1040, 32183, 12614, 540, 11838, 4679, 13438, 2509, 3384, 513, 6219, 946, 4524, 2663, 538, 1272, 1813, 547, 1582, 2173, 539, 1709, 8942, 6322, 693, 17212, 1324, 4295, 2589, 899, 16297, 2225, 267, 1964, 16531, 267, 543, 4057, 7099, 2359, 269, 9182, 267, 5466, 1312, 2175, 8195, 3587, 14063, 585, 3811, 6051, 543, 4824, 1279, 3856, 23567, 780, 4089, 476, 274, 281, 15043, 16508, 19938, 10341, 692, 10387, 10056, 7988, 28832, 13054, 513, 1455, 4161, 5185, 676, 2043, 609, 11838, 267, 3056, 547, 15398, 2746, 2032, 267, 29338, 267, 17140, 22166, 267, 543, 28146, 16132, 269, 1677, 25559, 891, 2152, 267, 14237, 3929, 7939, 1983, 4249, 513, 11358, 1909, 538, 7393, 5626, 6043, 543, 5355, 4948, 10342, 269, 6206, 3334, 7854, 539, 1369, 2500, 7553, 9431, 2853, 27167, 1384, 320, 269, 17291, 17832, 7970, 910, 25506, 24970, 1027, 757, 10511, 23550, 7920, 3929, 6547, 267, 7175, 6267, 547, 840, 3319, 1947, 2936, 12003, 6127, 563, 321, 269, 24238, 9828, 910, 18918, 538, 1459, 2173, 30291, 4656, 5751, 5009, 5042, 8112, 543, 22887, 6672, 540, 32277, 28922, 6114, 563, 322, 269, 15465, 4676, 1090, 532, 910, 7420, 19450, 4978, 30343, 11605, 1247, 5807, 13261, 12496, 540, 3871, 563, 323, 269, 9046, 4149, 6295, 1107, 8061, 1047, 14323, 3435, 6439, 4328, 21500, 1266, 754, 1359, 3929, 18063, 563, 324, 269, 16418, 532, 4317, 8081, 1107, 22676, 720, 9263, 5121, 543, 2790, 1072, 2200, 14123, 16268, 2792, 543, 8994, 5351, 563, 325, 269, 26875, 1944, 8682, 4211, 732, 1107, 2353, 11229, 942, 585, 11005, 2553, 267, 2168, 2534, 267, 543, 16837, 18697, 29103, 1359, 2949, 9716, 780, 4089, 476, 275, 281, 20074, 8682, 6953, 27626, 11150, 538, 11545, 5020, 692, 2414, 14377, 7811, 1702, 883, 4052, 3498, 267, 6220, 1582, 25298, 12485, 16900, 883, 6296, 2238, 4564, 513, 32330, 25246, 540, 11455, 2208, 269, 1160, 12723, 2409, 17663, 1384, 320, 269, 5384, 5004, 13088, 910, 22982, 30300, 1513, 267, 24990, 267, 3059, 8924, 6908, 23164, 20319, 543, 4305, 12032, 3157, 563, 321, 269, 5530, 31346, 26659, 910, 15233, 3742, 1565, 2994, 630, 8999, 3405, 1944, 267, 3450, 9905, 1070, 31194, 2390, 9342, 630, 6665, 783, 267, 17391, 267, 10252, 20469, 23857, 1070, 543, 7413, 19240, 563, 322, 269, 12619, 30719, 28389, 618, 910, 19372, 5812, 3207, 16131, 267, 1711, 20009, 23103, 5054, 267, 2057, 13819, 18631, 21557, 563, 323, 269, 13262, 22159, 9828, 910, 6657, 11636, 4887, 11005, 267, 2620, 7244, 5751, 267, 11461, 11052, 32331, 563, 324, 269, 7913, 5489, 2135, 2305, 910, 21480, 11280, 2053, 2476, 689, 5907, 3457, 4227, 1344, 20358, 543, 1761, 12153, 563, 325, 269, 25398, 22895, 1681, 15789, 910, 12160, 622, 538, 1489, 2516, 8220, 13974, 3413, 21719, 2043, 4687, 2833, 267, 5796, 267, 19015, 780, 6962, 1384, 32382, 519, 1908, 326, 5573, 5251, 13514, 2189, 9465, 585, 1346, 21679, 609, 11838, 282, 2705, 267, 11439, 609, 3617, 1582, 25298, 2645, 13389, 3929, 7939, 5759, 267, 24567, 5640, 666, 6536, 30840, 8015, 14488, 269, 1635, 7598, 2963, 2861, 7459, 5941, 23954, 267, 2852, 1053, 25054, 593, 2123, 15322, 4724, 1582, 21553, 2889, 22777, 1796, 26405, 547, 28231, 8101, 12587, 1200, 531, 3429, 8476, 7607, 267, 20106, 267, 543, 15325, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 16920, 1549, 17211, 4524, 630, 4696, 291, 264, 610, 3007, 17211, 30759, 4524, 630, 4696, 8461, 264, 568, 513, 5778, 2041, 24173, 4524, 602, 5540, 6634, 540, 12322, 538, 519, 2136, 2276, 269, 898, 568, 513, 4524, 602, 3322, 5712, 540, 30759, 267, 538, 3430, 550, 4369, 267, 610, 791, 14601, 2623, 563, 4696, 8461, 814, 5063, 1831, 606, 4950, 7613, 602, 814, 2938, 811, 543, 811, 12322, 3343, 513, 5868, 585, 2589, 2404, 609, 11838, 269, 11838, 666, 723, 1896, 2360, 593, 707, 7141, 779, 1272, 2094, 621, 666, 1291, 547, 10010, 547, 1445, 538, 5049, 267, 5883, 741, 942, 267, 8373, 12180, 741, 4555, 267, 7928, 3765, 10293, 610, 2530, 540, 1271, 22590, 267, 543, 8373, 11264, 3818, 9912, 4247, 269, 1452, 9620, 666, 1118, 707, 7141, 779, 4081, 2773, 7771, 2094, 789, 723, 8373, 2519, 538, 519, 4928, 610, 1620, 1950, 4834, 2838, 538, 1153, 563, 2005, 568, 1271, 547, 3343, 5868, 543, 2126, 585, 11838, 952, 596, 14353, 707, 7141, 949, 723, 2919, 519, 2783, 269, 589, 2647, 2039, 540, 2126, 3681, 616, 2139, 585, 12322, 530, 6231, 2237, 606, 3573 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4205, 269, 1358, 1419, 723, 2042, 14379, 609, 1004, 563, 10144, 945, 1995, 4606, 540, 4502, 16531, 1419, 6560, 609, 4606, 540, 27945, 1145, 269, 1358, 723, 1447, 4126, 585, 519, 2104, 543, 1265, 621, 2352, 547, 1265, 2495, 538, 1272, 563, 1692, 1281, 519, 4743, 540, 4502, 16531, 979, 888, 2252, 596, 2461, 7683, 4743, 27945, 267, 8909, 267, 543, 16283, 267, 596, 2461, 4440, 11842, 875, 547, 5818, 707, 1582, 12635, 269, 1677, 1205, 7759, 540, 519, 4743, 540, 4502, 16531, 267, 596, 666, 798, 519, 1739, 912, 763, 1101, 1900, 593, 519, 1592, 540, 1919, 547, 798, 547, 1205, 7759, 540, 4606, 540, 4502, 16531, 568, 547, 5431, 519, 7553, 543, 13720, 621, 269, 8178, 3054, 607, 513, 2565, 20626, 543, 3313, 950, 713, 7553, 4386, 267, 1018, 3871, 621, 10039, 547, 267, 543, 875, 621, 5540, 596, 563, 3080, 540, 519, 1919, 596, 991, 547, 798, 547, 1205, 7759, 540, 4606, 540, 4502, 16531, 568, 547, 3398, 3054, 585, 945, 596, 616, 269, 12321, 1328, 568, 3501, 543, 3025, 2306, 9073, 269, 2142, 2186, 518, 676, 10404, 1944, 3054, 543, 2119, 547, 5372, 2942, 4555, 609, 2318, 543, 16268, 3283, 563, 8855, 2659, 19793, 557, 906, 454, 8722, 601, 902, 540, 4502, 16531, 666, 2061, 596, 689, 7487, 519, 2127, 538, 799, 596, 14133, 269, 1924, 3314, 707, 2250, 18517, 543, 5660, 873, 269, 1635, 7487, 707, 15421, 543, 9342, 267, 596, 666, 2569, 4606, 540, 4502, 16531, 563, 13729, 3853, 585, 3054, 454, 13729, 3853, 547, 2087, 3054, 543, 1451, 1007, 1983, 269, 19793, 1324, 891, 3853, 666, 5818, 707, 1582, 12635, 543, 2569, 4606, 540, 4502, 16531, 563, 30395, 15474, 17716, 454, 31339, 543, 11215, 3347, 666, 13468, 4606, 540, 4502, 16531, 269, 13185, 547, 707, 2673, 2828, 610, 1920, 267, 2671, 707, 4606, 543, 1205, 1489, 563, 7476, 3318, 948, 454, 2252, 4606, 540, 4502, 16531, 616, 4742, 606, 5571, 1966, 610, 616, 11874, 18363, 707, 1272, 267, 596, 949, 1616, 547, 2015, 17874, 609, 513, 11285, 269, 589, 13309, 666, 948, 596, 4308, 609, 891, 4606, 543, 2087, 707, 1582, 12635, 563, 1607, 2376, 666, 948, 1346, 945, 1616, 547, 1205, 7759, 540, 519, 4743, 540, 4502, 16531, 269, 1809, 3314, 267, 4743, 4502, 1652, 568, 1945, 3025, 2833, 689, 942, 547, 942, 267, 543, 621, 779, 15502, 547, 4339, 621, 269, 12315, 3054, 942, 543, 1451, 547, 3398, 3054, 607, 851, 540, 519, 1184, 563, 2791, 949, 581, 5461, 538, 912, 1692, 547, 1832, 4708, 693, 1753, 267, 538, 7365, 543, 4805, 888, 8340, 519, 3666, 540, 1272, 256, 27413, 543, 6698, 602, 3986, 21522, 1648, 454, 28406, 707, 10665, 256, 1215, 547, 1521, 513, 24158, 945, 1281, 711, 5660, 888, 763, 7887, 1966, 540, 938, 942, 281, 875, 547, 4194, 519, 1966, 540, 2792, 538, 3347, 888, 268, 1548, 568, 30776, 320, 3642, 267, 519, 2442, 5841, 4987, 3498, 540, 2487, 2053, 888, 268, 3345, 9705, 23619, 9604, 547, 6576, 454, 268, 12624, 22309, 585, 2348, 1200, 4816, 31024, 539, 782, 936, 1200, 1560, 281, 1744, 877, 6390, 24261, 454, 268, 476, 276, 18780, 593, 519, 8863, 303, 13188, 27545, 6828, 454, 268, 634, 28414, 2334, 17214, 3057, 1176, 333, 3933, 19172, 595, 787, 281, 9093, 11146, 2349, 1180, 525, 454, 268, 11910, 689, 5839, 1258, 547, 12907, 454, 268, 634, 1279, 19179, 1243, 4090, 814, 8452, 256, 476, 3607, 17408, 1115, 649, 561, 13774, 1117, 693, 519, 1034, 538, 476, 1708, 273, 454, 268, 7348, 619, 20366, 256, 634, 476, 278, 4279, 652, 21676, 1255, 538, 28414, 3778, 454, 268, 476, 276, 1034, 3532, 4775, 943, 21198, 338, 538, 3504, 12266, 10340, 454, 268, 2561, 7002, 585, 24494, 10425, 689, 519, 2622, 2657, 9257, 0, 303, 3558, 15494, 568, 827, 7114, 519, 12334, 267, 8159, 799, 835, 568, 2953, 267, 543, 4393, 519, 3950, 609, 519, 15494, 3769, 269, 9861, 2111, 547, 2953, 513, 12334, 538, 519, 18638, 568, 513, 9425, 1007, 6639, 13120, 269, 3245, 519, 4098, 540, 7913, 23866, 4518, 560, 725, 630, 6395, 310, 338, 1070, 972, 723, 1044, 1082, 11941, 547, 5449, 2553, 269, 623, 3558, 15494, 4188, 338, 519, 12334, 540, 519, 3003, 8301, 3148, 269, 1717, 267, 23024, 1206, 798, 711, 2015, 621, 519, 1655, 5690, 585, 14577, 519, 12334, 540, 519, 1291, 13047, 269, 9747, 267, 5841, 4992, 616, 811, 1455, 563, 763, 12472, 540, 623, 3558, 5589, 1800, 454, 303, 3558, 15494, 814, 13497, 7960, 936, 519, 1576, 540, 942, 883, 6620, 269, 1452, 6620, 616, 5827, 540, 7114, 543, 31925, 519, 12334, 609, 8766, 818, 974, 30440, 269, 1452, 941, 519, 1101, 3268, 585, 703, 19861, 4938, 1023, 269, 27009, 267, 2348, 513, 13047, 3950, 593, 513, 1402, 2594, 609, 13581, 15088, 538, 12334, 568, 3833, 4686, 269, 769, 1840, 267, 8030, 666, 3362, 2953, 519, 12334, 3330, 513, 18638, 267, 799, 814, 3366, 547, 10322, 1006, 538, 519, 3280, 540, 519, 4938, 1023, 593, 513, 1402, 10916, 269, 5047, 267, 1454, 540, 519, 7553, 5645, 676, 519, 13047, 626, 568, 998, 519, 11029, 7648, 540, 519, 12334, 563, 10144, 4122, 12314, 713, 6609, 609, 519, 1402, 2575, 9135, 269, 1809, 1169, 2511, 540, 2575, 3096, 713, 2186, 540, 15494, 269, 1280, 3236, 267, 8030, 946, 621, 547, 13498, 519, 4393, 2944, 593, 20749, 5950, 19827, 563, 303, 3558, 15494, 1568, 7561, 593, 513, 1395, 2684, 4577, 3950, 269, 634, 2601, 568, 602, 568, 4443, 547, 2697, 519, 12334, 689, 713, 2186, 540, 3280, 2707, 269, 901, 568, 1813, 547, 513, 13350, 5951, 845, 602, 666, 3362, 30712, 883, 513, 1114, 12334, 269, 10765, 7835, 723, 4957, 13497, 269, 3767, 789, 4125, 513, 1454, 811, 1950, 1184, 540, 7114, 519, 17950, 543, 2800, 9582, 540, 1367, 4967, 593, 513, 1808, 3950, 563, 303, 3558, 4856, 14431, 281, 18370, 543, 3117, 454, 27039, 593, 519, 1448, 540, 2070, 267, 12334, 15494, 666, 581, 2901, 5363, 610, 10413, 995, 547, 519, 2298, 540, 19827, 269, 2201, 519, 835, 1688, 267, 930, 13047, 1235, 723, 1336, 621, 5363, 2094, 789, 1100, 3476, 991, 547, 2594, 1169, 2582, 1899, 607, 8308, 607, 2009, 269, 2201, 519, 824, 267, 930, 2015, 602, 621, 814, 1044, 811, 5059, 593, 3478, 4743, 543, 1102, 2716, 542, 538, 519, 5639, 269, 901, 666, 1291, 547, 1732, 13047, 2773, 585, 513, 5152, 269, 0, 8072, 288, 3309, 543, 8537, 2486, 568, 2565, 585, 519, 1967, 540, 29049, 6816, 543, 938, 4182, 16224, 3081, 6428, 557, 5518, 28226, 454, 4002, 4873, 476, 3066, 267, 519, 10966, 7040, 12199, 602, 12621, 543, 9945, 666, 1100, 3476, 946, 5198, 607, 513, 7156, 585, 16075, 269, 901, 3375, 16765, 29354, 519, 32618, 30675, 602, 814, 28322, 27797, 12102, 1053, 538, 2362, 2069, 585, 1296, 563, 288, 742, 3305, 894, 2962, 267, 607, 3989, 676, 519, 10228, 9218, 267, 568, 968, 1492, 2259, 610, 3609, 540, 7957, 1681, 2043, 10362, 547, 2516, 9833, 607, 27797, 610, 1641, 547, 7130, 1848, 769, 2474, 540, 2362, 2069, 267, 31077, 2962, 4016, 547, 968, 320, 1305, 540, 4507, 602, 2327, 3160, 4316, 543, 2061, 7130, 1759, 593, 513, 3376, 2039, 540, 9163, 1519, 5198, 267, 3023, 267, 4008, 267, 4984, 267, 3084, 5169, 543, 9659, 1848, 1403, 713, 4992, 5432, 267, 621, 779, 1317, 621, 568, 849, 1031, 676, 968, 16029, 4316, 892, 12820, 950, 10229, 1930, 7158, 563, 288, 742, 3305, 894, 2962, 267, 1634, 1287, 607, 15445, 11352, 476, 11820, 1839, 267, 729, 1101, 1031, 676, 5518, 3627, 674, 269, 17394, 538, 476, 3422, 272, 8506, 2229, 25255, 547, 2327, 602, 23078, 616, 6964, 543, 616, 5701, 9425, 1282, 741, 7694, 269, 769, 476, 3422, 275, 267, 519, 6406, 7126, 2920, 729, 9896, 883, 1876, 267, 8195, 2870, 519, 26321, 25477, 31621, 8189, 267, 610, 519, 661, 292, 8016, 269, 3807, 513, 1032, 2663, 267, 5518, 10370, 526, 517, 645, 269, 9652, 9896, 15445, 11352, 476, 12208, 5379, 267, 799, 3964, 8433, 540, 8549, 20260, 338, 28597, 1369, 519, 4972, 540, 8534, 563, 763, 14469, 540, 11352, 7089, 476, 275, 538, 476, 3192, 272, 676, 5518, 29337, 4718, 519, 10014, 540, 2021, 269, 634, 19142, 540, 519, 29407, 2920, 540, 476, 3192, 274, 849, 4718, 3160, 4316, 607, 621, 4294, 547, 1004, 609, 9124, 269, 901, 5921, 602, 621, 568, 1631, 10363, 547, 5806, 3729, 1759, 593, 9659, 538, 3292, 5342, 676, 5313, 8041, 267, 3292, 602, 4309, 5313, 6351, 267, 5313, 7694, 543, 7694, 2853, 540, 1346, 609, 5313, 25255, 563, 763, 1101, 2013, 540, 31077, 2962, 538, 2362, 2069, 3576, 1747, 538, 476, 3192, 279, 267, 538, 3204, 757, 540, 519, 2160, 540, 4993, 642, 269, 25234, 651, 269, 634, 2475, 10966, 7040, 909, 18988, 519, 946, 540, 5198, 607, 513, 3815, 538, 7446, 1851, 11727, 3156, 585, 2852, 16075, 269, 634, 10966, 7040, 12199, 602, 621, 568, 796, 32016, 585, 519, 6280, 2564, 1153, 547, 15395, 1152, 476, 1240, 16295, 856, 540, 476, 1911, 829, 1362, 585, 27797, 12102, 1053, 269, 898, 729, 5462, 602, 713, 2259, 729, 513, 18670, 540, 7170, 17886, 540, 519, 6406, 7126, 2920, 540, 476, 3422, 275, 563, 763, 2034, 543, 3791, 1034, 1713, 2665, 7018, 538, 476, 1220, 274, 267, 609, 519, 6182, 28739, 642, 269, 12157, 1782, 518, 543, 6182, 13616, 642, 269, 12157, 1782, 518, 4031, 7057, 5466, 2591, 547, 519, 2160, 540, 12309, 15938, 543, 1876, 1153, 23504, 3292, 267, 6606, 269, 1452, 2665, 5795, 1219, 2397, 547, 519, 6280, 779, 1995, 543, 6791, 827, 922, 3872, 5692, 269, 769, 1312, 4031, 7057, 267, 519, 3375, 729, 1500, 602, 972, 941, 1100, 19374, 540, 519, 6406, 7126, 2920, 543, 519, 3375, 547, 946, 5198, 607, 513, 3815, 1851, 11727, 23078, 729, 909, 18988, 563, 1103, 476, 1001, 275, 267, 519, 10966, 7040, 909, 18988, 31077, 2962, 538, 519, 17384, 642, 269, 2160, 540, 7147, 2013, 269, 769, 476, 1220, 279, 267, 2806, 580, 841, 17384, 4294, 585, 15938, 16075, 543, 729, 17792, 269, 17384, 267, 1373, 513, 24272, 22057, 4775, 267, 19429, 3366, 9290, 1996, 519, 6280, 19101, 602, 519, 946, 540, 5198, 607, 606, 16075, 7156, 568, 513, 18670, 540, 519, 26321, 10466, 1849, 1021, 540, 519, 476, 1691, 628, 14821, 269, 634, 6280, 4831, 11130, 6031, 602, 519, 946, 540, 5198, 568, 7522, 569, 3358, 267, 799, 1797, 13197, 3152, 4763, 585, 519, 2875, 1560, 269, 634, 10588, 7040, 4956, 538, 3870, 540, 519, 2160, 540, 7147, 267, 1256, 1498, 519, 3375, 729, 2663, 4300, 4705, 543, 1586, 909, 18988, 563, 763, 1034, 2487, 2013, 267, 19429, 538, 5437, 540, 476, 1001, 275, 267, 729, 12199, 593, 4873, 476, 3066, 269, 769, 713, 27779, 267, 519, 3919, 4841, 585, 12876, 23670, 3827, 267, 513, 1875, 17416, 3919, 16922, 540, 1053, 543, 3237, 945, 3494, 602, 7292, 28944, 543, 7375, 538, 2852, 23504, 616, 15490, 267, 11991, 543, 796, 6247, 6627, 267, 19429, 513, 27779, 1996, 12370, 2160, 267, 19101, 602, 12370, 779, 5198, 23504, 3609, 5806, 3990, 1996, 7489, 1977, 23078, 267, 513, 18670, 540, 7170, 17886, 540, 519, 6406, 7126, 2920, 540, 476, 3422, 275, 269, 898, 568, 1271, 547, 4063, 602, 12370, 15109, 5198, 607, 835, 3815, 1851, 1082, 538, 922, 15938, 23504, 1184, 547, 4228, 4763, 585, 12102, 1053, 945, 723, 1044, 26173, 538, 2362, 2069, 269, 634, 2013, 2893, 2394, 5181, 540, 476, 1001, 280, 267, 950, 25960, 2353, 2581, 4446, 992, 15653, 519, 6811, 540, 519, 27674, 858, 269, 2701, 12199, 602, 12370, 1281, 711, 5806, 3729, 1996, 7489, 4892, 610, 4497, 538, 1022, 7292, 13326, 269, 1656, 602, 922, 23504, 2259, 946, 540, 5198, 568, 5812, 609, 519, 10966, 7040, 30675, 269, 634, 4841, 585, 12876, 23670, 3827, 19429, 606, 9029, 269, 681, 5699, 513, 1032, 2663, 267, 519, 7040, 540, 2561, 324, 1023, 909, 18988, 922, 3375, 267, 6031, 602, 12370, 2048, 338, 23504, 1982, 1281, 711, 29875, 7170, 17886, 563, 1103, 5988, 540, 476, 1708, 272, 267, 519, 4841, 585, 12876, 23670, 3827, 19429, 513, 21936, 585, 513, 1060, 540, 5909, 1640, 926, 547, 723, 519, 2013, 12649, 676, 519, 10966, 7040, 269, 634, 21936, 729, 15653, 267, 15663, 519, 476, 2412, 1296, 540, 3964, 3656, 30675, 269, 769, 5130, 540, 476, 1708, 273, 267, 519, 10966, 7040, 8815, 547, 5873, 713, 2013, 538, 28051, 609, 519, 4841, 585, 12876, 23670, 3827, 642, 269, 634, 2160, 540, 3345, 10491, 269, 898, 568, 1271, 547, 4063, 1934, 602, 6167, 290, 568, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 6795, 269, 4037, 274, 274, 269, 274, 284, 272, 269, 279, 9385, 8218, 9387, 265, 4153, 3847, 22570, 2765, 346, 6795, 269, 4037, 2410, 3451, 269, 274, 348, 815, 476, 272, 269, 279, 1422, 2431, 3738, 315, 754, 9387, 15857, 269, 634, 30133, 786, 1942, 1864, 476, 21497, 269, 3393, 7807, 259, 1789, 269, 3445, 17961, 9387, 15857, 273, 24206, 476, 1428, 269, 3393, 815, 1422, 1789, 269, 3445, 17910, 9387, 15857, 543, 476, 277, 269, 10844, 4009, 3952, 786, 979, 547, 3653, 630, 5780, 269, 277, 4037, 280, 269, 4037, 284, 277, 269, 10844, 9385, 8218, 9387, 265, 12917, 5780, 269, 6858, 268, 6795, 269, 4037, 815, 476, 277, 269, 10844, 9385, 754, 9387, 15857, 780, 2162, 10417, 9046, 8827, 692, 2791, 666, 946, 4173, 517, 781, 16754, 547, 1265, 519, 1858, 540, 835, 540, 519, 8188, 540, 519, 18158, 780, 763, 3830, 585, 519, 1858, 540, 519, 6906, 568, 281, 918, 284, 338, 4433, 320, 7565, 338, 321, 7565, 2675, 9385, 8218, 9387, 15857, 298, 815, 1422, 6912, 346, 338, 4433, 910, 513, 7565, 338, 910, 536, 7565, 338, 910, 524, 264, 4153, 754, 9387, 15857, 1141, 521, 284, 1321, 5416, 17070, 25239, 9385, 8218, 9387, 15857, 338, 31386, 2765, 346, 272, 2410, 273, 12917, 320, 17070, 25239, 9385, 754, 9387, 15857, 610, 3368, 540, 519, 15943, 540, 519, 6906, 780, 810, 267, 538, 713, 2013, 10484, 338, 284, 1321, 263, 1220, 266, 11260, 266, 11260, 6661, 20862, 273, 284, 18597, 17961, 9387, 15857, 338, 31386, 2765, 346, 272, 2410, 273, 12917, 1220, 266, 11260, 266, 11260, 264, 815, 1422, 2765, 346, 20862, 2410, 273, 348, 815, 476, 18597, 17910, 9387, 265, 10926, 4517, 692, 298, 284, 18597, 263, 18597, 1220, 7565, 18597, 11260, 7565, 18597, 11260, 6661, 274, 267, 16020, 17961, 9387, 15857, 298, 815, 1422, 6912, 346, 18597, 263, 18597, 268, 1220, 7565, 18597, 268, 11260, 7565, 18597, 268, 11260, 14587, 815, 476, 274, 267, 16020, 17910, 9387, 15857, 4009, 7397, 780, 2162, 6657, 692, 8340, 519, 1858, 540, 1142, 6906, 609, 519, 1614, 2016, 2427, 13080, 780, 272, 269, 476, 273, 267, 476, 1691, 267, 476, 1428, 454, 273, 269, 476, 277, 267, 476, 279, 267, 476, 280, 454, 274, 269, 476, 1015, 267, 476, 1691, 267, 476, 736, 454, 275, 269, 476, 1556, 267, 476, 1428, 267, 476, 277, 454, 276, 269, 476, 275, 267, 476, 275, 267, 476, 275, 454, 277, 269, 476, 275, 267, 476, 276, 267, 476, 274, 454, 278, 269, 476, 3953, 267, 476, 2412, 267, 476, 2004, 454, 279, 269, 476, 736, 267, 476, 1240, 267, 476, 2420, 454, 280, 269, 476, 736, 267, 476, 736, 267, 476, 736, 454, 1015, 269, 476, 1240, 267, 476, 1704, 267, 476, 1321, 454, 1556, 269, 476, 280, 267, 476, 1321, 267, 476, 1015, 454, 1321, 269, 476, 1556, 267, 476, 1240, 267, 476, 279, 454, 1724, 269, 14674, 950, 621, 2306, 519, 1034, 2631, 547, 946, 4173, 517, 781, 4542, 547, 1265, 519, 1858, 540, 513, 6906, 563, 1691, 269, 589, 512, 4979, 568, 1500, 540, 476, 1789, 21412, 12730, 269, 634, 13080, 540, 519, 5011, 540, 1142, 6906, 616, 476, 274, 6279, 267, 476, 276, 6279, 267, 543, 476, 278, 6279, 269, 1548, 568, 519, 1858, 540, 519, 512, 4979, 888, 1428, 269, 1548, 1826, 540, 6906, 609, 723, 519, 5021, 1858, 585, 513, 2016, 15943, 286, 8058, 610, 2491, 707, 7744, 780, 2162, 11872, 270, 11947, 7547, 11109, 8373, 286, 7797, 606, 3390, 780, 21760, 31209, 539, 7956, 11872, 692, 2162, 18500, 5678, 281, 2296, 692, 28350, 14240, 454, 15463, 517, 781, 16754, 4173, 517, 781, 4542, 568, 1031, 547, 5173, 519, 1858, 540, 513, 6906, 950, 519, 13080, 540, 782, 1614, 5011, 616, 1634, 269, 4173, 517, 781, 4542, 2829, 602, 585, 513, 6906, 609, 5011, 1269, 320, 8961, 1269, 321, 8961, 543, 1269, 322, 8961, 519, 1858, 540, 519, 6906, 568, 1269, 288, 7807, 6912, 346, 338, 4433, 8584, 7565, 338, 1532, 7565, 338, 2275, 264, 4151, 1141, 1269, 338, 7807, 2765, 21151, 17070, 25239, 2410, 273, 31859, 17004, 31674, 19672, 454, 20373, 454, 11795, 22187, 5426, 912, 30475, 912, 20428, 338, 281, 0, 1432, 4266, 568, 476, 1556, 2395, 3773, 689, 13723, 5988, 476, 2641, 267, 476, 1708, 275, 2496, 306, 1495, 599, 4728, 476, 6734, 267, 476, 1708, 275, 692, 29002, 476, 1556, 2395, 689, 13723, 5988, 476, 2641, 267, 476, 1708, 275, 568, 10732, 4728, 476, 6734, 267, 476, 1708, 275, 799, 568, 1554, 1297, 476, 6187, 274, 540, 476, 1708, 274, 269, 901, 2985, 568, 2966, 547, 948, 596, 519, 3268, 547, 1293, 476, 1556, 267, 855, 1174, 875, 547, 6460, 543, 1039, 942, 7157, 780, 1892, 16930, 11261, 281, 13723, 5988, 476, 2641, 267, 476, 1708, 275, 454, 1892, 17963, 689, 13723, 5988, 476, 2641, 267, 476, 1708, 275, 281, 10732, 4728, 476, 6734, 267, 476, 1708, 275, 454, 1892, 4303, 540, 519, 1032, 281, 476, 6187, 274, 454, 1892, 4303, 540, 519, 3018, 281, 10732, 454, 1892, 13600, 281, 4728, 454, 1892, 5729, 281, 476, 1708, 274, 692, 15612, 908, 476, 1556, 2395, 689, 13723, 5988, 476, 2641, 267, 476, 1708, 275, 676, 1688, 692, 16920, 3319, 532, 547, 1039, 476, 1556, 2395, 689, 13723, 5988, 476, 2641, 267, 476, 1708, 275, 676, 1688, 666, 581, 3833, 2352, 543, 942, 21791, 269, 589, 811, 10375, 1505, 568, 547, 946, 513, 11706, 267, 2436, 621, 781, 513, 2168, 835, 610, 513, 3059, 3498, 267, 547, 1293, 519, 2395, 689, 519, 2016, 4266, 269, 1717, 267, 938, 2395, 689, 1808, 4266, 9498, 529, 519, 15864, 543, 1034, 3608, 1259, 547, 4194, 713, 1966, 780, 2252, 596, 1616, 547, 12189, 519, 2243, 593, 713, 2985, 267, 596, 723, 1079, 3681, 281, 596, 666, 2901, 1689, 519, 15745, 538, 707, 11422, 781, 2232, 3046, 610, 979, 547, 938, 2395, 689, 1808, 4266, 9498, 547, 4283, 513, 1007, 13214, 269, 5901, 538, 2247, 602, 3257, 891, 2010, 540, 9273, 538, 707, 2212, 666, 581, 3833, 4101, 267, 865, 938, 9498, 729, 2919, 547, 4217, 596, 538, 713, 4305, 543, 1118, 621, 1454, 12863, 780, 306, 1495, 599, 4728, 476, 6734, 267, 476, 1708, 275, 853, 1846, 692, 1892, 4303, 540, 519, 3018, 281, 10732, 454, 1892, 13600, 281, 4728, 454, 1892, 4303, 540, 519, 1032, 281, 476, 6187, 274, 692, 15575, 532, 476, 1556, 2395, 4464, 689, 13723, 5988, 476, 2641, 267, 476, 1708, 275, 692, 15575, 532, 4464, 689, 2221, 267, 10732, 4728, 476, 6734, 267, 476, 1708, 275, 568, 476, 1556, 689, 1631, 1210, 938, 1699, 11706, 269, 476, 1556, 2395, 568, 6697, 547, 1384, 1556, 2395, 568, 849, 476, 25784, 3108, 269, 10732, 4728, 476, 6734, 267, 476, 1708, 275, 568, 476, 1704, 260, 540, 519, 1032, 6192, 780, 20751, 476, 1556, 2395, 972, 616, 476, 25784, 3108, 267, 476, 15647, 2412, 3764, 267, 610, 476, 31405, 6110, 7643, 692, 306, 1495, 599, 10732, 4728, 476, 6734, 267, 476, 1708, 275, 568, 519, 476, 6187, 274, 1554, 540, 519, 1032, 269, 2311, 602, 942, 267, 649, 786, 581, 476, 1704, 260, 998, 476, 1708, 275, 780, 1103, 476, 1556, 2395, 267, 519, 19105, 12287, 1975, 550, 13718, 1892, 476, 26951, 273, 269, 279, 3108, 12619, 532, 454, 1892, 476, 27183, 269, 1626, 3108, 14856, 543, 6704, 454, 1892, 476, 276, 1691, 269, 279, 3108, 5600, 3835, 2238, 454, 1892, 476, 14631, 269, 1321, 3108, 5600, 1740, 454, 1892, 476, 12739, 269, 9834, 3108, 5253, 7041, 543, 30749, 454, 1892, 476, 7367, 269, 279, 3108, 4521, 333, 543, 4677, 1416, 454, 1892, 476, 280, 2190, 269, 271, 3108, 11554, 543, 960, 5829, 2238, 454, 1892, 476, 25616, 269, 5400, 3108, 11554, 454, 1892, 476, 16928, 272, 269, 2764, 3108, 2274, 15370, 543, 5026, 454, 1892, 476, 4037, 276, 269, 6860, 3108, 654, 10248, 8613, 692, 293, 13904, 22505, 532, 543, 8535, 15638, 593, 4728, 476, 6734, 692, 1892, 476, 1220, 275, 2160, 540, 24543, 5182, 17872, 10994, 1299, 21483, 715, 14566, 8908, 4584, 966, 1550, 12070, 325, 1251, 630, 2420, 264, 530, 2644, 645, 1014, 8619, 10787, 21590, 693, 9741, 6519, 30989, 538, 20098, 30988, 454, 1892, 476, 4198, 277, 10656, 7669, 1067, 595, 1442, 773, 22050, 11253, 1513, 9397, 476, 736, 4458, 2025, 1158, 2594, 585, 476, 1911, 332, 1954, 5598, 630, 272, 281, 6860, 269, 273, 264, 0, 258, 23481, 7269, 692, 1892, 4455, 476, 1015, 628, 476, 1001, 271, 267, 476, 6187, 281, 2767, 7537, 454, 3333, 1177, 2993, 454, 16535, 6706, 7269, 454, 8340, 519, 11664, 540, 4399, 2765, 346, 272, 2410, 343, 317, 274, 4151, 538, 519, 7269, 540, 18159, 343, 268, 272, 8203, 274, 22570, 2765, 346, 272, 2410, 343, 15396, 343, 8203, 277, 259, 563, 1892, 4455, 476, 1015, 628, 476, 1001, 271, 267, 476, 6187, 281, 7871, 7537, 454, 21542, 268, 686, 3766, 320, 2173, 320, 454, 32621, 1384, 23192, 17397, 676, 695, 1177, 2993, 454, 8340, 519, 11664, 540, 4399, 2765, 346, 272, 2410, 343, 317, 274, 4151, 538, 519, 7269, 540, 18159, 343, 268, 272, 8203, 274, 22570, 2765, 346, 272, 2410, 343, 15396, 343, 8203, 277, 16859, 22091, 6416, 540, 630, 343, 910, 476, 272, 8203, 274, 815, 1535, 317, 274, 910, 476, 274, 343, 317, 273, 1341, 476, 274, 343, 910, 476, 272, 454, 5575, 1079, 2474, 540, 630, 272, 24474, 1341, 1535, 3738, 317, 277, 815, 476, 272, 24474, 317, 277, 1341, 476, 277, 24474, 317, 275, 1341, 476, 5541, 2483, 3383, 476, 272, 24474, 317, 274, 2165, 786, 581, 2139, 676, 519, 1587, 540, 1535, 317, 274, 265, 272, 24474, 317, 277, 543, 476, 274, 343, 265, 277, 24474, 317, 275, 454, 3383, 519, 11664, 540, 476, 272, 24474, 317, 274, 815, 476, 5541, 286, 0, 26524, 593, 10789, 281, 28977, 267, 24275, 4834, 543, 16526, 12943, 676, 1483, 21493, 2439, 31580, 1109, 15010, 1109, 10789, 476, 1109, 15010, 1109, 20877, 338, 9847, 5999, 593, 10789, 281, 28977, 267, 24275, 4834, 543, 16526, 12943, 676, 1483, 21493, 256, 3396, 1109, 8298, 2201, 692, 1520, 281, 1325, 613, 1962, 1807, 12814, 31758, 707, 7223, 2042, 543, 2488, 1900, 8386, 9912, 3137, 256, 1520, 281, 10789, 3752, 1386, 256, 12814, 281, 7223, 3301, 31758, 7223, 6780, 2042, 609, 1900, 8386, 9912, 948, 2439, 10789, 281, 28977, 267, 24275, 4834, 543, 16526, 3752, 951, 16497, 12226, 21287, 13658, 769, 3493, 628, 692, 7726, 476, 14681, 4649, 273, 281, 1548, 568, 519, 586, 25435, 540, 519, 3113, 540, 586, 815, 476, 273, 28682, 1341, 9745, 273, 286, 594, 993, 513, 2370, 11821, 855, 594, 1589, 519, 9745, 343, 543, 9745, 273, 616, 1312, 23055, 267, 865, 1535, 815, 476, 271, 476, 273, 263, 273, 264, 815, 476, 275, 2626, 476, 271, 267, 476, 275, 2549, 594, 2953, 286, 8729, 538, 4434, 585, 707, 948, 256, 20289, 928, 8437, 1934, 547, 1294, 2626, 676, 2423, 3149, 18484, 263, 277, 2764, 278, 2020, 7726, 476, 14681, 277, 1724, 281, 4855, 606, 3830, 540, 519, 1899, 17598, 519, 2016, 2175, 269, 3414, 630, 271, 267, 476, 273, 5148, 544, 284, 274, 270, 273, 8437, 1934, 547, 1294, 2626, 676, 795, 574, 318, 628, 15106, 6795, 272, 271, 263, 26326, 3607, 2020, 7726, 476, 14681, 30663, 281, 8641, 281, 586, 815, 630, 272, 270, 273, 32589, 910, 476, 272, 8437, 1934, 547, 1294, 2626, 676, 795, 574, 318, 628, 15106, 6795, 272, 271, 263, 26326, 3607, 2020, 7726, 476, 14681, 277, 4366, 281, 3113, 519, 2338, 593, 513, 1297, 1899, 269, 3973, 2328, 1079, 16526, 602, 5635, 519, 1079, 2338, 269, 7490, 948, 269, 594, 1174, 1297, 1899, 269, 7490, 4194, 281, 910, 277, 543, 476, 275, 8437, 1934, 547, 1294, 2626, 676, 795, 574, 318, 628, 15106, 6795, 272, 271, 263, 26326, 3607, 2020, 7726, 476, 14681, 278, 1789, 281, 16534, 630, 333, 19422, 333, 268, 274, 11924, 333, 14352, 278, 333, 268, 1428, 19422, 333, 268, 274, 264, 8437, 1934, 547, 1294, 2626, 676, 795, 574, 318, 628, 15106, 6795, 272, 271, 263, 26326, 3607, 2020, 7726, 476, 14681, 278, 2412, 281, 1215, 798, 596, 3113, 910, 274, 343, 2999, 910, 277, 610, 1535, 1341, 476, 276, 2999, 910, 273, 286, 8437, 1934, 547, 1294, 2626, 676, 795, 574, 318, 628, 15106, 6795, 272, 271, 263, 26326, 3607, 2020, 7726, 476, 14681, 278, 4375, 281, 1215, 798, 596, 3113, 910, 274, 343, 2999, 910, 277, 610, 1535, 1341, 476, 276, 2999, 910, 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 ]
[ 883, 519, 7372, 4224, 5250, 2488, 20605, 5784, 540, 519, 18932, 5251, 2630, 563, 273, 269, 6428, 541, 632, 772, 344, 27376, 630, 25405, 1408, 6682, 1842, 19435, 267, 30643, 264, 1107, 1306, 519, 1158, 781, 4102, 6070, 6366, 267, 6428, 541, 632, 772, 344, 27376, 21269, 936, 476, 1015, 267, 1822, 4009, 12919, 630, 274, 267, 279, 8618, 4009, 5195, 1040, 4438, 519, 24925, 4005, 267, 513, 6094, 4494, 540, 1216, 21810, 519, 1166, 1846, 883, 513, 9649, 8272, 549, 1042, 2627, 10452, 519, 6607, 1657, 269, 6250, 6002, 666, 2263, 30642, 8916, 4904, 609, 26009, 21728, 328, 2275, 2642, 10195, 267, 10477, 561, 6210, 976, 31523, 609, 1166, 5446, 657, 267, 543, 2848, 5446, 2520, 903, 619, 780, 8893, 476, 274, 281, 6184, 25378, 654, 1180, 619, 910, 589, 23281, 540, 19043, 692, 27455, 12201, 1419, 4196, 607, 3532, 23106, 540, 938, 3838, 8103, 543, 519, 10781, 540, 2250, 12977, 269, 1635, 7680, 891, 13300, 20250, 267, 649, 2744, 513, 4514, 7071, 585, 519, 4529, 789, 2099, 543, 519, 2984, 789, 2995, 269, 5565, 11121, 1806, 1331, 1384, 272, 269, 7557, 340, 20266, 32627, 630, 290, 639, 1723, 16323, 267, 18475, 264, 1107, 10705, 5219, 547, 607, 519, 834, 299, 739, 4975, 540, 519, 5549, 553, 2437, 7557, 340, 20266, 32627, 568, 606, 9058, 1383, 540, 769, 4754, 4702, 543, 23477, 269, 29321, 1194, 1164, 538, 519, 1656, 6756, 7823, 2039, 267, 713, 476, 1428, 628, 10601, 3632, 12818, 8761, 4241, 4030, 883, 519, 2729, 540, 519, 5549, 320, 1004, 543, 3091, 20498, 31858, 25271, 642, 626, 553, 563, 273, 269, 8891, 571, 630, 30538, 262, 534, 17135, 622, 267, 16888, 264, 1107, 19612, 607, 519, 834, 305, 846, 4414, 4975, 257, 1317, 540, 519, 11909, 3620, 4240, 32498, 689, 799, 621, 729, 20077, 267, 8891, 571, 7389, 1394, 547, 5111, 476, 24374, 7460, 269, 901, 3504, 2749, 6039, 607, 519, 3854, 540, 519, 715, 629, 1092, 6756, 8003, 543, 12286, 6946, 17633, 267, 9723, 2125, 267, 543, 1216, 31026, 1080, 269, 9373, 532, 998, 519, 7522, 13961, 336, 27905, 543, 18413, 4064, 593, 519, 23836, 27308, 2679, 585, 519, 1101, 942, 3762, 1169, 21233, 1659, 652, 30638, 780, 6962, 912, 18698, 4583, 21056, 2636, 721, 547, 1921, 609, 1114, 4529, 267, 5660, 1480, 5647, 267, 543, 1711, 9434, 8823, 269, 6787, 596, 29954, 790, 547, 3643, 11599, 20375, 610, 3605, 1055, 7308, 15515, 22760, 1790, 987, 16782, 267, 3314, 602, 1142, 19506, 814, 922, 1378, 1650, 547, 2995, 11652, 6947, 5702, 2337, 22962, 938, 1620, 540, 519, 1158, 1472, 721, 269, 8414, 12599, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1839, 5440, 7304, 730, 12875, 626, 5900, 10330, 538, 519, 2622, 454, 24309, 676, 700, 3570, 4521, 21213, 4924, 476, 1428, 267, 476, 1708, 273, 454, 9199, 767, 619, 616, 2141, 3168, 585, 6667, 547, 3391, 741, 9035, 269, 28527, 909, 609, 513, 1592, 540, 4025, 547, 3643, 666, 581, 4101, 950, 596, 2811, 31325, 693, 513, 8608, 269, 1548, 616, 519, 1283, 15805, 18845, 538, 519, 1158, 286, 634, 1034, 11599, 4609, 602, 782, 17631, 723, 593, 741, 19943, 2000, 626, 540, 1919, 547, 1294, 1472, 519, 8608, 888, 5278, 18353, 1175, 1796, 856, 1657, 519, 1964, 269, 3509, 616, 519, 1826, 540, 4025, 1141, 596, 666, 1491, 513, 8666, 267, 543, 621, 3340, 1100, 7778, 547, 2697, 519, 4087, 281, 519, 661, 858, 601, 18975, 610, 519, 2051, 657, 572, 636, 269, 1809, 930, 4025, 616, 1447, 1134, 1634, 547, 1007, 17631, 610, 1346, 945, 723, 711, 2943, 5887, 3293, 856, 547, 519, 811, 16678, 18353, 269, 1452, 666, 1419, 581, 519, 1034, 14785, 547, 3643, 563, 2690, 1082, 540, 891, 18845, 267, 621, 781, 1018, 789, 21843, 543, 519, 18353, 789, 2099, 602, 1118, 873, 865, 1713, 269, 769, 824, 2665, 267, 621, 568, 519, 3135, 3294, 602, 2306, 621, 4502, 9683, 519, 2197, 269, 2368, 540, 891, 616, 519, 544, 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, 769, 519, 5318, 13795, 540, 2518, 2148, 2137, 267, 7087, 8225, 9085, 26328, 513, 2189, 543, 1898, 2230, 269, 901, 3332, 3091, 721, 513, 6885, 883, 519, 2729, 267, 12583, 267, 543, 23381, 338, 540, 4516, 781, 3689, 8315, 267, 27478, 267, 543, 5450, 529, 9082, 267, 3850, 721, 547, 2263, 4798, 602, 13469, 7184, 609, 938, 1378, 2053, 269, 2290, 971, 6249, 568, 16132, 910, 513, 1523, 602, 829, 341, 3547, 1082, 1568, 540, 7087, 8225, 9085, 543, 5713, 607, 513, 3532, 7828, 998, 799, 547, 4983, 891, 5931, 780, 2414, 2253, 267, 1577, 721, 2015, 1018, 649, 1611, 676, 1412, 13318, 1464, 9538, 2311, 922, 4295, 267, 16132, 10522, 513, 3668, 540, 3666, 610, 3589, 1464, 282, 621, 5267, 10462, 267, 3348, 10846, 267, 543, 13438, 269, 2382, 1464, 666, 8915, 693, 1585, 2157, 267, 689, 2123, 16839, 547, 6626, 6848, 30331, 822, 1023, 267, 543, 1419, 12969, 338, 609, 2055, 540, 3961, 267, 1379, 267, 543, 10362, 269, 1452, 616, 10502, 519, 5686, 540, 2152, 602, 1082, 7087, 8225, 4589, 4497, 609, 538, 741, 960, 267, 1818, 713, 606, 2523, 3638, 543, 14785, 1858, 540, 1353, 780, 3080, 1259, 547, 1935, 519, 10206, 540, 16132, 1369, 7087, 8225, 9085, 568, 547, 2015, 875, 621, 12211, 547, 2055, 540, 1747, 543, 12761, 269, 1280, 3236, 267, 7338, 3751, 781, 3209, 5682, 23420, 267, 26121, 4826, 7710, 519, 1950, 2078, 1063, 7087, 2950, 543, 519, 2244, 789, 723, 20948, 585, 27453, 269, 1635, 5104, 868, 777, 3151, 2757, 2984, 543, 5137, 14868, 609, 519, 2833, 540, 4207, 3197, 21679, 609, 7142, 882, 6327, 267, 2825, 12159, 267, 543, 519, 9371, 540, 10821, 3506, 267, 3751, 19156, 519, 7096, 2631, 540, 20247, 6327, 602, 1082, 7087, 1004, 3136, 547, 3068, 269, 634, 1267, 568, 513, 12667, 24575, 540, 519, 6526, 1006, 543, 25359, 540, 1367, 543, 7104, 9163, 950, 12082, 538, 18633, 3037, 780, 5194, 1271, 2460, 540, 16132, 538, 7087, 8225, 9085, 4145, 1893, 543, 9423, 269, 1306, 1082, 5640, 723, 7074, 267, 19525, 814, 1185, 14042, 2360, 593, 7087, 4654, 267, 4529, 267, 543, 1702, 1949, 267, 3056, 547, 513, 6433, 540, 6041, 543, 5639, 269, 19536, 899, 8614, 2335, 8291, 28226, 630, 302, 16988, 12298, 1070, 570, 1682, 517, 23681, 630, 290, 872, 1070, 543, 10557, 3057, 12386, 630, 21946, 880, 264, 782, 20920, 609, 713, 3390, 538, 1114, 2081, 267, 19234, 609, 1106, 267, 9135, 267, 543, 1893, 547, 1711, 1007, 12331, 540, 4082, 602, 5706, 2144, 5501, 543, 7682, 741, 4527, 9624, 5571, 3157, 540, 21939, 543, 30886, 269, 4256, 1603, 8711, 519, 3348, 13895, 1145, 540, 10409, 543, 2686, 6561, 1247, 849, 15738, 2509, 7399, 585, 20344, 543, 25430, 780, 1103, 1840, 547, 3695, 8901, 543, 10409, 7516, 540, 16132, 267, 1896, 7087, 8225, 4589, 2232, 2790, 543, 3929, 24187, 538, 741, 960, 269, 25408, 267, 5830, 899, 9400, 25538, 1868, 324, 630, 302, 329, 756, 933, 264, 543, 19468, 29029, 26943, 13987, 631, 8531, 1512, 630, 18404, 529, 264, 5490, 2620, 883, 519, 5626, 29854, 540, 3140, 8194, 267, 8213, 267, 543, 6057, 269, 3414, 6151, 267, 9237, 6386, 602, 2482, 11953, 519, 1928, 543, 6043, 540, 741, 23233, 267, 891, 4589, 4161, 3988, 547, 13720, 13943, 18408, 827, 3936, 2401, 12258, 11102, 5208, 543, 922, 9434, 5222, 593, 7087, 8171, 269, 30027, 3585, 267, 789, 2709, 1350, 9404, 619, 540, 4126, 543, 7067, 267, 22348, 721, 602, 1256, 538, 519, 22984, 540, 1390, 7092, 267, 972, 6818, 1761, 585, 7004, 543, 2208, 780, 7661, 267, 621, 568, 4502, 6236, 875, 4207, 2152, 543, 9840, 1217, 938, 2542, 540, 7087, 8225, 9085, 1471, 268, 14504, 23724, 16132, 269, 8693, 1689, 267, 585, 1383, 267, 13514, 1713, 6937, 547, 7087, 3338, 267, 24454, 267, 543, 16285, 267, 7586, 4328, 4540, 4606, 540, 13438, 543, 23473, 269, 6684, 267, 5571, 9620, 585, 6284, 267, 1582, 24148, 267, 543, 5126, 3136, 547, 3337, 519, 32725, 540, 7087, 5339, 2504, 267, 23831, 3773, 2597, 547, 11269, 540, 4187, 543, 6668, 269, 1635, 2502, 609, 891, 13865, 2188, 267, 649, 666, 10802, 938, 7071, 540, 519, 15491, 2470, 540, 16132, 1369, 713, 1560, 540, 960, 543, 1732, 1174, 922, 10083, 547, 1312, 2250, 543, 1459, 19178, 780, 1103, 3932, 267, 6313, 519, 6249, 540, 16132, 538, 7087, 8225, 9085, 2636, 721, 547, 16785, 4514, 883, 10296, 2055, 7282, 3961, 267, 1686, 267, 1893, 267, 543, 6214, 269, 3414, 2673, 13220, 540, 1883, 5931, 543, 18906, 4369, 547, 9962, 8739, 27791, 6384, 267, 649, 2744, 3407, 4030, 883, 519, 5030, 2833, 540, 7087, 2950, 543, 519, 2591, 789, 3068, 269, 5047, 267, 649, 616, 19430, 547, 2992, 593, 938, 1378, 7158, 1369, 3889, 540, 1379, 543, 17979, 267, 18136, 2565, 5188, 543, 17604, 2066, 10665, 543, 6302, 269, 11086, 267, 713, 2186, 540, 6278, 11942, 3152, 4656, 267, 6568, 267, 543, 2463, 585, 519, 3309, 9739, 602, 13822, 519, 3638, 5958, 540, 1158, 3332, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9349, 594, 281, 4317, 16132, 454, 12892, 1128, 629, 4106, 14504, 543, 1128, 8494, 924, 527, 281, 7977, 543, 519, 13814, 454, 15307, 1192, 32136, 538, 652, 1963, 281, 642, 793, 22863, 540, 513, 4207, 267, 711, 3833, 2458, 2355, 532, 2197, 1107, 6792, 454, 20779, 4919, 16132, 281, 28993, 454, 301, 652, 8494, 30864, 540, 717, 539, 574, 21590, 10830, 543, 519, 3463, 547, 519, 3090, 540, 519, 1533, 281, 26403, 807, 454, 9743, 1464, 267, 513, 7123, 4641, 281, 27816, 543, 3013, 454, 303, 11823, 543, 1514, 16132, 281, 519, 6601, 343, 527, 3190, 454, 13233, 14359, 3264, 13150, 328, 13953, 7549, 328, 13150, 9841, 281, 12907, 454, 4462, 560, 762, 9163, 281, 28130, 543, 2342, 454, 763, 5641, 25498, 1107, 593, 519, 2357, 613, 540, 1272, 281, 16850, 454, 26045, 543, 2686, 16132, 281, 6576, 543, 11894, 454, 306, 23439, 331, 3570, 8734, 846, 331, 13960, 645, 545, 1156, 454, 24292, 16132, 281, 5617, 22654, 543, 12996, 454, 763, 16132, 540, 15349, 2069, 543, 922, 1198, 593, 2528, 543, 3332, 281, 11894, 454, 3412, 13607, 775, 281, 27816, 543, 12052, 454, 305, 617, 3419, 334, 589, 1066, 553, 9796, 534, 454, 1805, 11691, 543, 4358, 538, 16132, 281, 27597, 454, 9743, 629, 4106, 553, 7109, 753, 328, 281, 12868, 454, 1805, 762, 16132, 281, 27718, 13960, 454, 9349, 4083, 281, 9608, 543, 16650, 16132, 454, 21615, 571, 1424, 16132, 281, 8050, 454, 297, 517, 599, 2372, 5793, 334, 670, 1716, 5451, 526, 14162, 454, 20329, 22181, 1128, 320, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29378, 8225, 9085, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 4516, 1315, 476, 736, 628, 11416, 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, 20821, 25845, 8619, 256, 2701, 781, 606, 7969, 3332, 24158, 945, 8057, 909, 538, 7977, 855, 6410, 547, 519, 2136, 2276, 950, 1352, 2968, 606, 2937, 269, 4653, 267, 1352, 11414, 3332, 693, 513, 4583, 6280, 1572, 18628, 269, 4634, 1498, 1352, 2729, 538, 3013, 1631, 267, 1200, 2648, 585, 3332, 3323, 1394, 538, 7977, 267, 1141, 1352, 729, 4535, 543, 6659, 780, 293, 27509, 8619, 568, 1134, 1634, 585, 4974, 2984, 267, 9089, 267, 543, 9954, 1210, 2189, 2409, 269, 4107, 1004, 1589, 596, 991 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1978, 2296, 10404, 540, 1977, 3356, 5063, 1767, 267, 3013, 814, 1279, 1630, 16556, 602, 2701, 568, 519, 13621, 1494, 540, 519, 1158, 267, 855, 585, 519, 2250, 15823, 1296, 519, 7292, 2609, 538, 3013, 723, 15189, 547, 15835, 269, 1717, 3020, 610, 2150, 4902, 713, 949, 581, 540, 519, 19366, 2516, 689, 2342, 267, 621, 568, 547, 513, 1804, 6708, 3020, 540, 519, 12075, 540, 1715, 3840, 1533, 563, 20751, 938, 1533, 972, 616, 811, 982, 17174, 12075, 2713, 593, 31681, 269, 2755, 547, 782, 21286, 23079, 789, 616, 3540, 1242, 267, 891, 17174, 12075, 2943, 11677, 513, 1978, 17174, 7115, 543, 616, 1582, 3766, 1478, 940, 269, 634, 2201, 1180, 15676, 4182, 543, 519, 7354, 29132, 4182, 540, 12075, 979, 865, 2484, 607, 547, 7682, 602, 789, 1869, 2661, 593, 741, 18577, 2244, 543, 602, 1247, 519, 3557, 540, 1715, 3840, 814, 6738, 909, 1472, 873, 789, 616, 2943, 711, 538, 519, 3557, 540, 1715, 3840, 269, 661, 320, 262, 577, 6811, 547, 581, 513, 4182, 543, 2713, 896, 519, 4027, 540, 1978, 14097, 2924, 602, 10018, 547, 873, 741, 16285, 269, 11569, 930, 540, 519, 824, 11031, 1118, 713, 3409, 896, 519, 14097, 540, 2052, 7701, 580, 7699, 540, 476, 9692, 275, 267, 29064, 593, 262, 5130, 476, 2641, 560, 267, 476, 9692, 276, 267, 7682, 532, 602, 2376, 476, 273, 540, 713, 14097, 16219, 563, 18871, 1538, 18319, 1475, 299, 3907, 320, 853, 3757, 1512, 320, 910, 16016, 956, 324, 347, 0, 268, 901, 2680, 814, 5293, 563, 5456, 288, 17976, 910, 278, 10975, 267, 476, 2537, 6113, 5988, 476, 1708, 273, 281, 968, 31367, 16661, 532, 607, 513, 15613, 585, 519, 14066, 4149, 7051, 12650, 675, 543, 19554, 540, 27321, 2910, 273, 892, 1635, 4515, 269, 7671, 22413, 1069, 2714, 630, 308, 7374, 994, 2537, 5988, 7711, 476, 278, 281, 876, 6751, 1107, 476, 279, 281, 876, 6751, 10648, 307, 454, 2108, 31367, 16661, 532, 607, 513, 15613, 585, 519, 14066, 4149, 7051, 12650, 675, 543, 19554, 540, 27321, 2910, 273, 7536, 3528, 4515, 269, 7671, 22413, 1069, 2714, 630, 308, 7374, 994, 31367, 29056, 568, 606, 1271, 855, 20541, 27687, 520, 602, 814, 9738, 3047, 779, 2627, 2837, 1369, 513, 3376, 2039, 936, 1454, 540, 17027, 942, 269, 901, 10690, 7939, 14340, 1317, 281, 630, 328, 264, 3114, 29056, 540, 3623, 6510, 7725, 543, 6886, 27499, 3327, 545, 3679, 602, 568, 538, 3114, 11466, 609, 11626, 2910, 273, 267, 7551, 9427, 2910, 273, 543, 630, 4512, 264, 519, 3114, 29056, 3928, 540, 1455, 3623, 6510, 6886, 2333, 609, 2362, 5210, 269, 4935, 267, 585, 1383, 267, 513, 6727, 5305, 540, 2910, 273, 547, 519, 5790, 676, 1804, 4336, 8979, 1143, 538, 519, 17027, 2250, 1131, 723, 3361, 930, 2518, 8337, 7620, 267, 855, 713, 8337, 1131, 1287, 723, 3812, 8476, 3623, 6510, 29056, 602, 538, 2490, 1131, 7930, 4894, 1454, 540, 519, 4430, 2910, 273, 689, 519, 5790, 267, 5555, 19011, 1154, 2196, 12537, 8337, 269, 901, 2942, 5955, 538, 3047, 779, 2916, 1062, 4061, 6411, 607, 513, 19020, 2518, 27687, 520, 593, 17027, 2053, 322, 2297, 269, 2201, 1480, 2053, 322, 2297, 2705, 267, 713, 2067, 27687, 520, 568, 2484, 1932, 22376, 1375, 880, 547, 4894, 519, 524, 269, 476, 3374, 5479, 19726, 540, 2910, 273, 602, 3425, 7630, 883, 519, 5790, 1169, 1032, 269, 634, 2243, 8268, 538, 713, 2911, 568, 2436, 1804, 4336, 22041, 267, 8476, 3114, 29056, 1223, 543, 1058, 1631, 581, 1031, 547, 4894, 17254, 26293, 928, 9424, 540, 2910, 273, 12422, 689, 519, 5790, 269, 901, 2243, 568, 5051, 1271, 1317, 621, 568, 1631, 18931, 602, 3742, 8851, 540, 11626, 2910, 273, 538, 512, 30802, 609, 27290, 20214, 538, 5434, 949, 581, 1898, 547, 3035, 2048, 6339, 25179, 685, 676, 476, 13078, 271, 267, 513, 2565, 10421, 547, 3970, 2518, 8337, 547, 1447, 982, 476, 273, 5232, 1298, 580, 8565, 269, 2290, 1935, 602, 568, 1419, 6069, 568, 547, 3262, 16760, 7725, 610, 6886, 593, 11934, 547, 3986, 2518, 3114, 29056, 3928, 543, 7551, 2721, 1524, 11626, 2910, 273, 269, 769, 6240, 713, 1935, 11129, 547, 960, 267, 1317, 4616, 540, 3327, 545, 3679, 538, 11934, 676, 519, 29056, 6547, 267, 4553, 676, 519, 8851, 540, 29056, 23402, 7513, 267, 13101, 543, 15702, 22833, 12365, 622, 676, 8933, 1058, 2333, 5836, 30175, 6541, 543, 9063, 267, 3850, 14680, 547, 10511, 10028, 543, 9376, 909, 3327, 585, 6634, 540, 1296, 269, 3213, 1532, 523, 9026, 1522, 1331, 606, 10970, 2747, 540, 5571, 5836, 3679, 2305, 543, 8476, 5567, 585, 7693, 2371, 269, 2201, 519, 824, 1688, 267, 972, 616, 3875, 1843, 687, 267, 8151, 689, 519, 5837, 9651, 602, 2520, 334, 19956, 1229, 3435, 1522, 24183, 12998, 5786, 3646, 267, 547, 3621, 4145, 538, 6935, 547, 2244, 946, 267, 3037, 1072, 543, 519, 3327, 11640, 540, 971, 2238, 269, 901, 2911, 786, 1445, 5631, 593, 519, 946, 540, 16760, 1666, 5306, 538, 8476, 29056, 267, 855, 519, 946, 540, 930, 4853, 22279, 3653, 12535, 609, 1761, 585, 3327, 8166, 8851, 693, 4336, 786, 849, 581, 5018, 269, 2983, 5505, 723, 513, 4105, 1909, 547, 1404, 1317, 741, 1983, 616, 2565, 547, 6218, 519, 8244, 543, 29839, 540, 11134, 7725, 543, 6886, 585, 1804, 4336, 22041, 8476, 3114, 29056, 14565, 267, 543, 741, 2620, 6066, 5380, 616, 2629, 547, 2708, 519, 1279, 3856, 5222, 593, 3047, 1949, 563, 29445, 22413, 1069, 2714, 1107, 4437, 7240, 12834, 454, 23178, 7671, 22413, 1069, 2714, 568, 4867, 10361, 540, 30578, 693, 454, 17206, 5441, 25212, 543, 814, 1044, 7898, 1005, 693, 519, 454, 24119, 3477, 2094, 476, 1960, 277, 269, 7671, 568, 513, 2520, 32554, 626, 609, 3376, 454, 15517, 338, 538, 25694, 543, 1970, 27529, 2520, 17190, 267, 7777, 454, 933, 1430, 532, 267, 24236, 20569, 543, 772, 1606, 7685, 6580, 2409, 2676, 25659, 2801, 665, 3916, 26331, 267, 11626, 3157, 543, 1648, 454, 5471, 11136, 1108, 269, 3571, 12854, 729, 593, 968, 294, 3757, 924, 8891, 4088, 8412, 543, 12933, 531, 454, 5271, 1828, 2090, 538, 519, 7754, 5025, 325, 878, 534, 12456, 4673, 12966, 267, 21601, 28992, 892, 799, 454, 515, 5833, 1106, 7046, 2160, 543, 13604, 2968, 513, 454, 516, 572, 2117, 615, 585, 873, 849, 269, 13405, 547, 1010, 10927, 1353, 267, 7671, 454, 1740, 539, 538, 519, 25115, 16709, 269, 7671, 568, 849, 4867, 606, 454, 19491, 539, 4759, 540, 519, 9576, 9721, 9142, 630, 28122, 288, 543, 10615, 454, 1993, 519, 2817, 10418, 585, 1772, 582, 2100, 2983, 17190, 630, 10998, 5456, 1916, 14630, 543, 5384, 281, 13723, 267, 476, 2537, 5988, 476, 1708, 273, 267, 1063, 476, 866, 281, 876, 10681, 543, 476, 736, 281, 876, 3842, 28652, 563, 2414, 19193, 281, 6494, 606, 552, 17733, 547, 18078, 17106, 11333, 3820, 454, 288, 28652, 3095, 786, 581, 2366, 593, 519, 1554, 547, 1346, 945, 723, 10805, 269, 0, 763, 5250, 540, 544, 8432, 321, 323, 657, 559, 6510, 538, 519, 544, 8432, 321, 11845, 5835, 1505, 568, 19286, 730, 676, 661, 10485, 5336, 306, 269, 12443, 1337, 24485, 545, 7408, 941, 29230, 7458, 547, 1395, 12002, 267, 543, 544, 8432, 321, 323, 657, 32281, 919, 609, 513, 918, 1122, 6265, 2497, 941, 4646, 269, 3962, 1900, 540, 519, 5250, 5114, 540, 544, 8432, 321, 323, 657, 559, 6510, 689, 544, 8432, 321, 323, 545, 543, 24485, 545, 7408, 1063, 9063, 476, 272, 543, 476, 273, 729, 5587, 1881, 676, 661, 10485, 5336, 306, 693, 519, 7636, 1377, 269, 769, 513, 3070, 2630, 9063, 476, 271, 269, 276, 267, 519, 22169, 540, 519, 544, 8432, 321, 323, 545, 7408, 941, 10920, 12723, 1317, 540, 519, 1164, 5834, 540, 16247, 545, 3679, 269, 21418, 16247, 545, 3679, 15286, 519, 5250, 540, 544, 8432, 321, 323, 657, 559, 6510, 269, 4935, 267, 9039, 540, 519, 24485, 545, 7408, 2746, 539, 547, 1106, 544, 8432, 321, 323, 657, 559, 6510, 693, 713, 9063, 267, 5103, 519, 4527, 540, 24485, 545, 3679, 543, 23253, 12274, 538, 519, 3070, 269, 26361, 9063, 476, 273, 267, 519, 28198, 540, 544, 8432, 321, 323, 545, 7408, 7018, 547, 1106, 14668, 2173, 8432, 321, 323, 657, 559, 6510, 269, 661, 10485, 5336, 306, 2488, 1344, 593, 519, 5250, 540, 544, 8432, 321, 323, 657, 559, 6510, 543, 519, 1367, 5114, 2249, 1459, 538, 519, 5114, 7848, 563, 3008, 297, 290, 2480, 22455, 1641, 2127, 0, 8368, 540, 12937, 454, 8702, 547, 476, 15886, 280, 269, 272, 10101, 547, 20990, 269, 769, 713, 2022, 649, 616, 2469, 547, 2491, 596, 519, 476, 15886, 280, 269, 272, 575, 547, 2148, 7503, 269, 4635, 519, 1770, 3090, 575, 267, 519, 2527, 540, 476, 15886, 280, 269, 272, 10101, 568, 20922, 607, 476, 15886, 280, 269, 272, 575, 267, 543, 585, 519, 4611, 4320, 538, 20990, 649, 2308, 519, 1770, 3090, 700, 269, 4935, 267, 476, 15886, 280, 269, 272, 575, 547, 700, 568, 513, 2527, 547, 4320, 7503, 1107, 6219, 10391, 267, 1851, 824, 1919, 269, 3367, 593, 547, 1451, 3388, 827, 476, 15886, 280, 269, 272, 326, 538, 700, 267, 543, 1118, 2386, 547, 2638, 856, 938, 4780, 1562, 563, 15886, 280, 269, 272, 717, 547, 22175, 619, 454, 2026, 6045, 538, 1469, 593, 938, 1753, 2985, 267, 621, 568, 519, 5860, 667, 799, 6402, 519, 2527, 540, 476, 15886, 280, 269, 272, 10101, 609, 519, 4320, 538, 20990, 269, 634, 5860, 5673, 593, 519, 6219, 267, 2837, 543, 2604, 563, 19350, 596, 666, 1265, 519, 4542, 585, 476, 15886, 280, 269, 272, 326, 538, 700, 282, 952, 596, 1810, 1406, 917, 519, 5860, 540, 707, 12146, 610, 1570, 1118, 946, 540, 938, 2034, 20303, 513, 1906, 3515, 1524, 563, 3519, 3200, 476, 15886, 280, 269, 272, 717, 2449, 547, 22175, 619, 454, 2414, 6460, 476, 15886, 280, 269, 272, 10101, 547, 700, 649, 946, 519, 4542, 1496, 299, 316, 815, 1496, 15886, 280, 269, 272, 316, 1315, 630, 291, 1535, 476, 1911, 271, 1040, 769, 2013, 540, 1216, 693, 4262, 1377, 543, 476, 4375, 269, 273, 11019, 293, 267, 667, 815, 476, 272, 267, 865, 700, 815, 575, 1315, 476, 1911, 271, 269, 7201, 891, 6381, 267, 476, 15886, 280, 269, 272, 10101, 540, 1216, 3160, 476, 280, 269, 15886, 272, 20990, 563, 763, 1657, 19406, 585, 476, 15886, 280, 269, 272, 575, 547, 20990, 1058, 798, 585, 5986, 543, 2147, 5301, 267, 855, 1018, 827, 1114, 2175, 543, 6878, 899, 7573, 543, 5144, 888, 2252, 596, 917, 707, 1880, 5860, 267, 1287, 5372, 667, 609, 519, 1808, 1871, 538, 938, 4542, 267, 610, 4283, 519, 1871, 538, 519, 1101, 20303, 779, 5860, 2361, 563, 2252, 596, 1810, 1406, 917, 707, 1880, 5860, 547, 1689, 476, 15886, 280, 269, 272, 326, 547, 20990, 267, 1287, 596, 1522, 979, 609, 519, 3328, 2418, 1210, 938, 2034, 20303, 267, 799, 814, 519, 5860, 585, 1082, 6878, 563, 21446, 8271, 267, 596, 949, 6445, 538, 938, 3406, 1106, 538, 519, 20927, 10624, 547, 12398, 519, 476, 15886, 280, 269, 272, 10101, 547, 20990, 7503, 585, 513, 1880, 12146, 563, 15886, 280, 269, 272, 717, 547, 22175, 619, 20593, 614, 630, 291, 3748, 994, 3519, 951, 687, 1331, 267, 585, 1383, 912, 15886, 280, 269, 272, 717, 547, 22175, 619, 20593, 614, 630, 27802, 766, 994, 288, 3650, 568, 519, 5758, 540, 476, 15886, 280, 269, 272, 575, 700, 563, 15886, 280, 269, 272, 717, 2449, 547, 6183, 23586, 454, 2791, 723, 6603, 519, 25759, 851, 827, 875, 547, 6460, 476, 15886, 280, 269, 272, 10101, 547, 20990, 563, 20091, 713, 2022, 5402, 267, 596, 723, 4121, 547, 2626, 891, 4749, 4280, 2055, 538, 519, 2796, 540, 476, 15886, 280, 269, 272, 575, 538, 700, 912, 268, 1215, 1082, 20990, 538, 476, 15886, 280, 269, 272, 575, 888, 268, 476, 15886, 280, 269, 272, 575, 568, 3160, 547, 875, 1082, 20990, 888, 268, 1215, 1082, 20990, 538, 476, 15886, 280, 269, 272, 10101, 888, 1607, 3239, 12109, 1186, 476, 15886, 280, 269, 272, 326, 547, 20990, 909, 912, 2252, 4376, 827, 476, 15886, 280, 269, 272, 575, 538, 20990, 3788, 15458, 267, 610, 952, 596, 1616, 547, 2285, 5955, 267, 1287, 6445, 538, 938, 11280, 1106, 2630, 267, 610, 6494, 721, 606, 4757, 609, 519, 1641, 6460, 476, 15886, 280, 269, 272, 575, 547, 2148, 563, 13014, 2386, 547, 1747, 513, 1433, 5658, 267, 543, 2046, 519, 2671, 16181, 547, 1577, 519, 1158, 917, 827 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 30208, 7384, 3354, 454, 32325, 1031, 547, 2149, 6531, 1759, 7221, 1315, 3245, 9504, 267, 519, 1863, 22605, 454, 32091, 26264, 342, 663, 3642, 267, 1577, 781, 1832, 621, 2110, 676, 3274, 16460, 891, 1883, 2055, 912, 4692, 596, 1592, 519, 1283, 5013, 543, 28135, 827, 13192, 3354, 888, 11764, 3405, 1125, 713, 2376, 585, 513, 476, 1015, 1296, 2025, 454, 17239, 8582, 20231, 32530, 16739, 454, 30208, 7384, 3354, 610, 267, 811, 3274, 267, 6531, 3354, 4016, 547, 513, 3376, 1305, 540, 4507, 267, 4066, 267, 3156, 267, 543, 8060, 8246, 547, 2149, 5691, 1242, 7379, 267, 1239, 267, 3156, 267, 2533, 267, 543, 519, 2404, 5989, 540, 6531, 7384, 269, 898, 568, 513, 1016, 26730, 664, 540, 2780, 3354, 267, 3060, 3354, 267, 543, 267, 811, 17618, 267, 1344, 3354, 563, 347, 8512, 540, 513, 3126, 593, 347, 0, 4131, 779, 1865, 519, 2243, 281, 875, 1082, 5195, 568, 476, 5379, 5998, 269, 1284, 17412, 782, 4143, 4267, 538, 3296, 1627, 26031, 540, 3896, 476, 272, 560, 2987, 1532, 28320, 2593, 538, 7121, 281, 18248, 631, 19616, 269, 6423, 811, 1644, 2055, 538, 519, 8292, 2630, 563, 1692, 3728, 568, 476, 5379, 5998, 538, 5195, 888, 347, 298, 559, 18852, 829, 5662, 1475, 300, 3796, 829, 5662, 2008, 347, 6246, 737, 874, 1475, 2918, 269, 7761, 18890, 2008, 347, 4510, 737, 874, 1475, 2767, 269, 4097, 18890, 2008, 347, 3393, 737, 874, 1475, 2767, 269, 9834, 18890, 2008, 347, 5379, 737, 874, 1475, 2764, 269, 6812, 18890, 2008, 1692, 1082, 5998, 24439, 476, 272, 5195, 888, 1692, 1082, 12919, 538, 513, 13304, 476, 272, 13304, 568, 3160, 547, 476, 272, 269, 2568, 280, 30306, 21240, 267, 799, 568, 519, 7503, 3815, 689, 5195, 547, 21240, 563, 295, 8582, 9215, 12164, 309, 12224, 918, 6579, 6865, 4953, 2207, 263, 298, 300, 264, 9215, 631, 11223, 6730, 631, 11223, 9215, 918, 6579, 6865, 4953, 2207, 454, 3412, 1137, 1644, 547, 519, 1888, 295, 8582, 9215, 12164, 309, 12224, 918, 6579, 6865, 4953, 2207, 263, 298, 300, 264, 9215, 631, 11223, 6730, 631, 11223, 9215, 918, 6579, 6865, 4953, 2207, 454, 1692, 2484, 568, 476, 272, 5998, 538, 476, 272, 13304, 888, 23277, 4394, 1475, 272, 5998, 815, 476, 1911, 271, 544, 1475, 272, 13304, 815, 476, 8182, 280, 269, 30306, 544, 2008, 347, 1103, 2583, 1475, 272, 5998, 815, 476, 4375, 267, 24907, 538, 1475, 272, 13304, 815, 476, 8287, 267, 11740, 538, 2008, 347, 298, 559, 18852, 1475, 272, 5998, 815, 476, 272, 5998, 1475, 272, 13304, 815, 476, 272, 269, 2568, 280, 5998, 2008, 23277, 3796, 1475, 272, 5998, 815, 476, 271, 269, 277, 2641, 11465, 1475, 272, 13304, 815, 476, 272, 13304, 2008, 1692, 2484, 568, 476, 273, 5195, 593, 918, 300, 888, 347, 273, 11465, 1475, 274, 269, 2420, 5998, 2008, 347, 274, 11465, 1475, 275, 269, 10695, 5998, 2008, 347, 275, 11465, 1475, 277, 269, 4510, 5998, 2008, 347, 276, 11465, 1475, 279, 269, 4962, 5998, 2008, 1432, 568, 476, 1911, 14790, 538, 18890, 888, 12585, 281, 476, 1911, 5998, 10774, 568, 3160, 547, 476, 7830, 269, 1691, 18890, 563, 1692, 3728, 568, 476, 2568, 5998, 888, 347, 298, 559, 18852, 3131, 28914, 1475, 300, 3796, 3131, 28914, 2008, 347, 2004, 5998, 10774, 1475, 4029, 269, 5881, 18890, 2008, 347, 4649, 5998, 10774, 1475, 4097, 269, 1240, 18890, 2008, 347, 2568, 5998, 10774, 1475, 4391, 269, 2764, 18890, 2008, 347, 4792, 5998, 10774, 1475, 2412, 269, 4375, 18890, 2008, 1692, 1082, 5195, 568, 5177, 5998, 888, 2467, 616, 1079, 2081, 547, 6460, 1063, 5195, 543, 21240, 1107, 3169, 543, 16977, 7503, 281, 476, 272, 13304, 815, 476, 272, 269, 2568, 280, 274, 269, 476, 4510, 5998, 610, 476, 272, 5998, 815, 476, 271, 269, 277, 2641, 4391, 272, 273, 5195, 563, 3674, 513, 9481, 518, 610, 13304, 3476, 888, 272, 269, 2568, 280, 12919, 3160, 476, 272, 13304, 269, 634, 9481, 518, 568, 513, 1770, 540, 6482, 267, 607, 568, 519, 2113, 548, 269, 1717, 267, 513, 13304, 568, 3476, 982, 513, 9481, 518, 269, 968, 300, 850, 892, 568, 513, 8273, 1770, 563, 1692, 1279, 1131, 621, 1491, 547, 3802, 476, 274, 14790, 888, 274, 298, 281, 476, 274, 12919, 11224, 476, 272, 269, 5952, 5195, 267, 610, 476, 7176, 275, 273, 269, 276, 3952, 267, 610, 1175, 513, 2370, 1447, 982, 476, 273, 5195, 269, 901, 568, 513, 1455, 3845, 585, 17493, 15211, 267, 2523, 1346, 609, 3015, 11507, 269, 898, 3217, 476, 1789, 547, 476, 4391, 3764, 547, 3802, 476, 274, 298, 693, 513, 9793, 10605, 563, 1692, 2484, 568, 476, 1015, 14790, 888, 11997, 267, 513, 476, 1015, 298, 568, 476, 1015, 12919, 630, 1015, 267, 1822, 7397, 264, 610, 476, 277, 269, 273, 5195, 563, 1432, 1919, 616, 476, 272, 5998, 1279, 888, 299, 1824, 540, 6201, 454, 268, 827, 607, 1279, 607, 513, 20013, 563, 268, 519, 8700, 540, 513, 1164, 331, 7660, 563, 268, 519, 8006, 540, 513, 17987, 7735, 563, 268, 519, 8700, 540, 476, 276, 7131, 779, 30528, 593, 1283, 540, 1142, 824, 563, 268, 519, 11098, 540, 513, 711, 788, 611, 563, 268, 519, 8953, 630, 327, 2788, 519, 8006, 264, 540, 513, 2475, 29784, 563, 3674, 476, 273, 5998, 3476, 982, 476, 272, 13304, 888, 2005, 568, 851, 540, 519, 11973, 1062, 540, 6482, 269, 4706, 28008, 568, 5998, 269, 589, 13304, 568, 3476, 982, 513, 9481, 518, 269, 2290, 13304, 568, 3160, 547, 476, 272, 269, 2568, 280, 12919, 563, 27077, 483, 22417, 631, 850, 547, 18741, 10309, 630, 332, 850, 547, 918, 332, 264, 1107, 7151, 543, 16754, 454, 3412, 1137, 1644, 547, 519, 1888, 27077, 483, 22417, 631, 850, 547, 18741, 10309, 630, 332, 850, 547, 918, 332, 264, 1107, 7151, 543, 16754, 454, 3674, 4881, 476, 273, 5195, 513, 1554, 1434, 888, 19119, 540, 26121, 476, 273, 30683, 513, 4303, 269, 26121, 476, 273, 5195, 513, 1554, 568, 513, 1390, 1259, 547, 1205, 3323, 609, 16608, 4881, 1510, 9688, 532, 3054, 269, 11545, 4881, 666, 798, 513, 2603, 547, 707, 1272, 267, 689, 8781, 8477, 543, 14304, 707, 2295, 547, 2810, 707, 14438, 563, 1692, 1279, 1281, 621, 1491, 547, 3802, 476, 276, 5195, 888, 7197, 1004, 3802, 693, 513, 3728, 10605, 540, 5111, 476, 274, 269, 276, 28902, 606, 5662, 267, 799, 3340, 5111, 476, 1704, 3764, 1142, 13304, 610, 476, 5952, 3764, 585, 513, 476, 276, 28902, 269, 1411, 1223, 588, 2651, 5488, 952, 596, 3432, 909, 707, 3268, 563, 1692, 1279, 1058, 621, 1491, 547, 2196, 513, 13304, 888, 288, 1875, 4818, 564, 1438, 267, 5266, 538, 6879, 1901, 27460, 2356, 29349, 835, 13304, 538, 827, 476, 280, 547, 476, 1015, 3764, 267, 593, 3328, 269, 1403, 596, 2461, 1007, 547, 4881, 267, 596, 1522, 2196, 835, 13304, 538, 6251, 547, 476, 1321, 547, 476, 1428, 3764, 607, 596, 1628, 909, 16608, 269, 4432, 924, 2261, 25070, 28359, 3328, 513, 13304, 538, 1472, 476, 275, 547, 476, 276, 3764, 563, 1692, 3728, 568, 476, 8099, 14790, 888, 8099, 5998, 327, 9881, 486, 476, 6924, 269, 3374, 18890, 454, 3086, 596, 917, 875, 3728, 476, 8099, 5998, 327, 568, 538, 18890, 563, 1692, 3728, 568, 476, 10219, 14790, 888, 10219, 5998, 327, 9881, 486, 476, 6507, 269, 6858, 18890, 454, 3086, 596, 917, 875, 3728, 476, 10219, 5998, 327, 568, 538, 18890, 563, 3674, 737, 874, 543, 5998, 327, 519, 1482, 888, 298, 559, 2210, 637, 829, 5662, 563, 347, 330, 559, 2210, 516, 829, 5662, 2008, 24820, 1286, 3432, 10309, 602, 6920, 6027, 3432, 538, 21240, 829, 5662, 8198, 1692, 1082, 5998, 1118, 606, 5662, 888, 347, 272, 25980, 815, 1475, 276, 18741, 18852, 1475, 1015, 18741, 18852, 2008, 347, 274, 25980, 815, 1475, 1428, 18741, 18852, 1475, 736, 18741, 18852, 2008, 347, 276, 25980, 815, 1475, 1839, 18741, 18852, 1475, 1789, 18741, 18852, 2008, 347, 278, 25980, 815, 1475, 3374, 18741, 18852, 1475, 2412, 18741, 18852, 2008, 347, 280, 25980, 815, 1475, 3393, 18741, 18852, 1475, 2004, 18741, 18852, 2008, 1692, 1279, 1281, 621, 1491, 547, 3802, 476, 277, 269, 272, 5195, 888, 1692, 1082, 3108, 616, 538, 513, 9481, 518, 888, 19667, 728, 3845, 630, 514, 5998, 264, 676, 519, 3432, 630, 514, 5998, 10774, 264, 547, 5173, 519, 942, 630, 514, 3108, 1040, 769, 938, 1383, 267, 942, 568, 476, 15946, 269, 4391, 275, 5998, 270, 476, 7918, 5998, 10774, 815, 476, 273, 269, 6321, 273, 3108, 563, 1692, 1082, 5195, 616, 538, 476, 272, 13304, 888, 347, 272, 11465, 269, 610, 11465, 538, 2560, 1475, 2507, 568, 3160, 547, 2560, 2008, 347, 10485, 4559, 1475, 8182, 280, 269, 30306, 544, 2008, 347, 574, 704, 658, 270, 4785, 4559, 1475, 277, 3451, 2568, 6279, 476, 276, 2764, 271, 10264, 476, 12293, 271, 586, 323, 476, 3199, 669, 476, 279, 9663, 2008, 347, 4785, 5619, 13304, 1475, 271, 269, 15886, 4200, 279, 5619, 13304, 2008, 1692, 547, 6460, 12919, 547, 5195, 538, 707, 2212, 454, 3412, 1137, 1644, 547, 519, 1888, 1692, 547, 6460, 12919, 547, 5195, 538, 707, 2212, 454, 1692, 798, 596, 6460, 5212, 10309, 547, 12919, 888, 1692, 547, 22417, 30683, 547, 18741, 18852, 269, 634, 3845, 538, 12919, 568, 3160, 547, 519, 3845, 538, 5195, 16611, 676, 476, 272, 269, 2568, 280, 30306, 269, 4595, 835, 13304, 568, 3160, 547, 476, 272, 269, 2568, 280, 30306, 12919, 267, 602, 779, 519, 7503, 5223, 1031, 538, 519, 4542, 563, 3963, 1281, 6628, 1869, 946, 5195, 888, 12585, 814, 476, 278, 16018, 269, 25214, 519, 4155, 3060, 538, 4789, 729, 3964, 676, 519, 14564, 945, 6027, 538, 5195, 269, 634, 11973, 1062, 729, 1101, 5189, 547, 5333, 676, 19167, 693, 513, 942, 950, 789, 941, 693, 2112, 609, 4789, 269, 901, 568, 1946, 519, 2296, 941, 26997, 547, 9772, 1558, 30826, 563, 268, 476, 2764, 5195, 689, 803, 454, 268, 476, 275, 1240, 5998, 547, 5195, 454, 268, 875, 2484, 568, 476, 5379, 5998, 538, 3764, 6117, 454, 268, 875, 1082, 5195, 606, 5662, 568, 476, 5379, 5998, 454, 268, 875, 2484, 2476, 568, 476, 5379, 5195, 454, 268, 875, 1279, 547, 5397, 476, 5379, 5195, 454, 268, 875, 2484, 568, 476, 5379, 5998, 689, 803, 454, 268, 476, 5379, 5998, 547, 4699, 454, 268, 476, 14096, 5998, 547, 18890, 454, 268, 476, 5379, 5998, 568, 3160, 547, 875, 1082, 5195, 454, 268, 875, 1279, 568, 513, 476, 4366, 5998, 5397, 454, 268, 875, 1279, 568, 476, 5379, 5195, 538, 513, 1286, 454, 268, 875, 1279, 1281, 621, 1491, 547, 5397, 476, 5379, 5998, 454, 268, 875, 1082, 737, 916, 568, 476, 5379, 5195, 454, 268, 875, 1082, 3108, 568, 476, 5379, 5195, 454, 268, 875, 1082, 5998, 568, 476, 5379, 5195, 829, 5662, 454, 268, 875, 1082, 5195, 568, 476, 3393, 5998, 454, 268, 5998, 547, 5195, 454, 22033, 1644, 547, 519, 1888, 875, 1082, 5195, 568, 476, 5379, 5998, 454, 2080, 616, 519, 3406, 2164, 540, 519, 8142, 875, 1082, 5195, 568, 476, 5379, 5998, 689, 29078, 269, 1411, 666, 1224, 811, 952, 596, 1616, 563, 2791, 723, 1175, 2097, 2066, 606, 2376, 593, 519, 1888, 875, 1082, 5195, 568, 476, 5379, 5998, 269, 1403, 596, 1336, 713, 2376, 3730, 267, 5225, 2671, 621, 269, 11289, 596, 1360, 1454, 269, 0, 4131, 1562, 2060, 9293, 18738, 454, 4131, 1562, 2060, 9293, 18738, 1107, 27973, 547, 581, 513, 681, 8016, 298, 4149, 307, 2752, 609, 707, 1915, 286, 4208, 711, 1397, 1055, 707, 4484, 532, 1983, 676, 8380, 1913, 538, 6801, 286, 32027, 1913, 543, 1913, 883, 12166, 5546, 666, 581, 1187, 585, 596, 543, 23666, 707, 5304, 269, 769, 2221, 779, 2022, 267, 594, 630, 288, 569, 1087, 320, 689, 7711, 299, 903, 338, 553, 318, 4131, 1562, 264, 786, 3391, 596, 1900, 8386, 9912, 998, 519, 1184, 540, 8888, 1688, 2275, 2761, 539, 4484, 1148, 602, 2306, 1004, 1745, 24330, 2336, 296, 3323, 676, 11516, 4221, 513, 1507, 2947, 15304, 539, 5182, 609, 513, 5386, 15262, 269, 1411, 666, 849, 17250, 609, 513, 15513, 269, 594, 1175, 4782, 547, 946, 13504, 1317, 594, 1810, 1406, 2247, 1818, 968, 332, 626, 1389, 892, 1282, 713, 1374, 5123, 269, 769, 330, 7512, 803, 547, 1491, 4220, 269, 6616, 602, 594, 666, 1406, 18419, 621, 2336, 4131, 1562, 2060, 9293, 18738, 454, 763, 1913, 594, 8359, 547, 2328, 3330, 519, 6801, 941, 968, 4131, 707, 1769, 19542, 1848, 1411, 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 ]

[ 8219, 543, 267, 952, 2556, 267, 1491, 5160, 5439, 269, 901, 568, 2356, 1152, 2944, 538, 811, 4049, 2665, 1141, 972, 949, 581, 824, 2009, 3123, 540, 519, 2589, 267, 971, 607, 16289, 545, 4345, 563, 3849, 3939, 547, 6413, 454, 2791, 949, 581, 2712, 326, 1836, 15861, 547, 6413, 952, 912, 2252, 621, 568, 8995, 693, 606, 2038, 3942, 267, 23856, 12982, 2068, 630, 303, 2839, 264, 666, 581, 5701, 3533, 543, 7561, 269, 1717, 267, 952, 621, 568, 2451, 15860, 267, 621, 666, 1291, 547, 811, 3978, 267, 1279, 3856, 8374, 563, 5649, 811, 1344, 827, 519, 8374, 540, 23856, 12982, 2068, 630, 303, 2839, 1916, 2252, 596, 723, 7646, 610, 9793, 623, 2839, 267, 707, 13382, 610, 4638, 1072, 16758, 786, 2356, 4383, 707, 2126, 563, 288, 4999, 540, 693, 2547, 1079, 11216, 568, 2356, 11311, 547, 1521, 623, 2839, 269, 901, 568, 1317, 623, 2839, 1419, 3322, 1896, 1114, 2010, 540, 4551, 563, 21413, 4881, 4255, 267, 621, 666, 581, 2182, 585, 7189, 547, 2697, 519, 3169, 4551, 3743, 267, 865, 513, 4999, 540, 11216, 949, 7620, 581, 11311, 865, 602, 513, 3099, 540, 4551, 666, 581, 5701, 269, 898, 779, 1271, 547, 1521, 623, 2839, 3533, 547, 6922, 1047, 519, 1981, 540, 26983, 563, 2252, 707, 4387, 568, 2111, 547, 2697, 519, 4551, 267, 707, 11216, 949, 581, 4957, 9935, 269, 25095, 7821, 602, 616, 4122, 11311, 547, 1521, 623, 2839, 1331, 540, 331, 2135, 659, 514, 267, 1558, 1258, 573, 31152, 267, 524, 14285, 686, 1314, 821, 630, 25912, 2012, 10162, 576, 874, 514, 264, 543, 798, 15383, 7094, 710, 563, 2791, 786, 2356, 723, 547, 1491, 519, 11216, 585, 476, 1691, 2395, 269, 898, 568, 1360, 1271, 547, 2347, 519, 3003, 1576, 540, 11216, 267, 6382, 519, 2126, 949, 711, 581, 2500, 563, 1103, 3226, 4049, 2665, 540, 623, 2839, 596, 949, 723, 547, 581, 15861, 547, 6413, 1141, 596, 786, 4309, 11216, 12499, 1597, 3585, 630, 10843, 513, 30620, 538, 707, 6186, 1916, 763, 4551, 602, 2014, 623, 2839, 666, 4734, 10077, 5160, 543, 26252, 525, 630, 3712, 27928, 540, 7783, 5714, 264, 593, 519, 16298, 540, 707, 2887, 26508, 13740, 269, 901, 2306, 621, 1360, 2182, 585, 606, 4212, 547, 1780, 2059, 621, 563, 763, 3476, 623, 2839, 568, 2451, 15860, 267, 519, 811, 2693, 621, 568, 602, 1085, 18732, 786, 2049, 269, 32653, 2126, 568, 1898, 585, 6922, 2358, 519, 1981, 540, 3441, 547, 519, 2887, 26508, 13740, 543, 824, 10285, 8219, 563, 22137, 2303, 602, 8488, 532, 2126, 676, 1256, 513, 1906, 2395, 666, 2333, 519, 1981, 540, 15176, 12680, 269, 1717, 267, 1034, 2021, 1205, 9176, 1510, 2042, 1310, 513, 2582, 12558, 540, 623, 2839, 563, 15919, 267, 17808, 610, 8697, 13740, 666, 581, 30465, 1282, 513, 22272, 541, 22000, 630, 4486, 23346, 6391, 1070, 1141, 519, 9402, 5160, 593, 519, 16298, 540, 519, 13740, 568, 6569, 269, 1717, 267, 713, 666, 3006, 2014, 2417, 1085, 18732, 543, 949, 711, 2141, 11177, 12680, 563, 288, 811, 3665, 1106, 540, 6391, 568, 513, 2892, 4771, 26618, 269, 901, 3322, 519, 8851, 540, 835, 610, 1312, 540, 519, 2887, 26508, 13740, 547, 3247, 519, 3262, 540, 3968, 563, 1607, 568, 1152, 2808, 607, 513, 2063, 18992, 267, 607, 519, 8851, 540, 1312, 2887, 26508, 13740, 786, 1611, 596, 786, 1100, 3476, 581, 2111, 547, 1205, 9176, 6923, 563, 763, 3476, 2126, 585, 623, 2839, 568, 16607, 267, 519, 811, 2693, 621, 568, 602, 519, 2887, 26508, 13740, 543, 824, 10285, 8219, 786, 581, 18385, 8697, 563, 2252, 519, 13740, 616, 865, 8697, 602, 621, 568, 7543, 547, 1205, 9176, 6923, 267, 930, 1004, 786, 581, 5280, 676, 538, 8686, 527, 549, 6992, 5314, 630, 4353, 293, 1916, 22879, 532, 3023, 543, 32296, 4638, 4891, 454, 22879, 2348, 4638, 26697, 2394, 596, 723, 6192, 707, 2126, 269, 901, 568, 1317, 2348, 3023, 666, 14443, 519, 7067, 1184, 563, 12179, 4638, 4891, 596, 723, 1044, 609, 538, 519, 3670, 3275, 1354, 707, 2589, 3323, 1058, 581, 7318, 543, 5701, 547, 3247, 519, 3968, 18596, 269, 1403, 596, 723, 711, 1185, 513, 4638, 7649, 538, 519, 3105, 3670, 3275, 267, 3346, 707, 1034, 2487, 7649, 563, 14483, 543, 2487, 4891, 1058, 581, 2938, 538, 513, 4638, 1072, 16758, 585, 4152, 543, 2126, 269, 1684, 711, 723, 3023, 609, 513, 3105, 7649, 8259, 596, 616, 2386, 602, 789, 723, 4607, 2126, 563, 2467, 616, 1896, 8374, 2404, 609, 23856, 12982, 2068, 630, 303, 2839, 1070, 1519, 7368, 14501, 540, 623, 2839, 267, 606, 26252, 8108, 543, 606, 2799, 1981, 540, 606, 28341, 8084, 6379, 610, 26983, 563, 13434, 584, 1370, 23856, 12982, 2068, 454, 18131, 1419, 1995, 7368, 14501, 540, 623, 2839, 267, 713, 568, 1634, 607, 20443, 23856, 12982, 2068, 269, 634, 811, 1419, 513, 4807, 4991, 623, 2839, 267, 519, 811, 2693, 1352, 568, 547, 1205, 621, 538, 519, 2104, 563, 763, 2783, 666, 2132, 952, 519, 3355, 3968, 568, 711, 7357, 23174, 610, 1317, 513, 4638, 7649, 814, 711, 1044, 7318, 543, 5701, 563, 2252, 606, 3355, 12558, 540, 623, 2839, 14796, 519, 14677, 1460, 267, 621, 666, 1831, 4443, 585, 4551, 547, 1847, 883, 519, 10285, 8219, 538, 519, 2104, 267, 1818, 596, 811, 11630, 547, 3384, 519, 2783, 1586, 269, 15901, 730, 14501, 540, 623, 2839, 616, 2404, 609, 606, 2799, 1981, 540, 26983, 563, 15919, 267, 623, 2839, 666, 2014, 26252, 525, 593, 519, 17534, 693, 519, 13675, 540, 519, 29199, 630, 289, 14390, 22223, 781, 30219, 264, 543, 538, 519, 2887, 26508, 13740, 543, 30124, 269, 1323, 26252, 568, 513, 4015, 540, 7783, 5714, 269, 898, 666, 2356, 581, 5701, 609, 11216, 269, 1403, 606, 26252, 1281, 711, 4431, 547, 11216, 267, 596, 949, 2154, 6391, 563, 2005, 568, 1271, 602, 26252, 525, 3330, 519, 10652, 6665, 616, 2901, 5701, 610, 6569, 267, 607, 606, 26252, 602, 28377, 666, 581, 5732, 1272, 17116, 563, 763, 2262, 28341, 8084, 1797, 538, 519, 4636, 1747, 269, 769, 513, 3339, 6379, 267, 519, 6992, 2213, 4212, 18032, 538, 519, 27042, 16298, 269, 1323, 28341, 8084, 6379, 568, 835, 602, 4386, 3544, 519, 27042, 563, 5415, 982, 476, 4817, 260, 540, 28341, 8084, 26691, 2049, 538, 513, 2887, 26508, 8546, 269, 1403, 623, 2839, 10953, 538, 519, 2887, 26508, 13740, 267, 621, 666, 10077, 519, 16298, 540, 519, 13740, 267, 1818, 621, 811, 2352, 585, 5798, 547, 1780, 998, 269, 1403, 513, 6992, 2213, 4212, 4991, 12758, 543, 5956, 547, 1332, 3330, 519, 8546, 267, 621, 666, 2014, 519, 8546, 547, 16802, 267, 799, 666, 3006, 1291, 547, 4049, 4835, 11702, 269, 661, 551, 8084, 6379, 666, 581, 1272, 17116, 563, 2005, 568, 6059, 602, 835, 4807, 538, 2947, 2021, 609, 623, 2839, 3587, 1102, 1068, 850, 607, 513, 1267, 269, 901, 1797, 789, 786, 581, 8572, 547, 1205, 9176, 6923, 269, 623, 2839, 666, 1118, 513, 4807, 1102, 1068, 850, 676, 1085, 18732, 519, 2887, 26508, 13740, 865, 16094, 602, 621, 2306, 621, 7543, 585, 519, 4212, 547, 2951, 1524, 883, 519, 27042, 269, 5548, 11691, 2126, 585, 623, 2839, 666, 2333, 707, 8458, 540, 4742, 1102, 1068, 850, 563, 5649, 811, 1344, 827, 26983, 563, 2252, 596, 1616, 547, 1205, 9176, 1310, 4742, 1102, 1068, 850, 689, 623, 2839, 267, 596, 1223, 2015, 606, 19443, 17748, 4480, 971, 607, 538, 8686, 527, 549, 6992, 5314, 630, 4353, 293, 1040, 2060, 10001, 293, 2126, 267, 5798, 616, 4907, 1227, 6569, 689, 513, 4807, 781, 30124, 543, 1287, 6992, 2213, 609, 14203, 538, 513, 8047, 267, 1354, 1373, 12630, 883, 519, 4807, 781, 27042, 269, 10001, 293, 1281, 711, 723, 513, 1360, 1164, 1967, 2557, 31011, 7982, 547, 1283, 454, 763, 1034, 2500, 1259, 547, 2061, 23856, 12982, 2068, 630, 303, 2839, 264, 568, 547, 2149, 3054, 689, 16770, 10299, 5563, 630, 306, 30454, 1916, 1607, 1797, 1210, 513, 11064, 15333, 21082, 267, 971, 607, 513, 598, 3256, 267, 12339, 573, 558, 610, 17818, 1698, 269, 4446, 8175, 15333, 21082, 2409, 267, 1031, 9846, 543, 5402, 267, 2569, 630, 8117, 798, 711, 4894, 15587, 264, 519, 1981, 540, 3478, 513, 16770, 10299, 3968, 630, 306, 2316, 1916, 2005, 568, 849, 1271, 547, 1205, 2834, 4638, 1072, 2638, 13522, 693, 707, 2199, 4638, 1072, 16758, 269, 5192, 513, 2638, 5346, 952, 596, 1689, 707, 7649, 610, 723, 796, 31695, 3023, 609, 513, 13680, 7649, 267, 610, 952, 596, 1589, 707, 7649, 814, 1044, 2348, 3023, 609, 2576, 3116, 269, 4855, 707, 2199, 4638, 1072, 16758, 563, 5970, 513, 4638, 1072, 2638, 952, 596, 723, 1185, 4638, 3346, 609, 2576, 596, 1589, 949, 723, 1044, 7783, 609, 2901, 513, 16770, 10299, 3968, 610, 623, 2839, 563, 27650, 14893, 568, 513, 5859, 547, 948, 519, 1857, 3442, 519, 1318, 1072, 5796, 538, 519, 2146, 11053, 749, 2725, 2859, 454, 3725, 701, 520, 267, 835, 11325, 1095, 18587, 269, 11814, 538, 4558, 610, 1753, 6765, 2529, 793, 5455, 454, 289, 12864, 938, 23244, 14102, 2533, 6035, 538, 938, 8637, 2529, 2465, 7896, 454, 2171, 616, 8391, 606, 2333, 538, 519, 1297, 540, 13668, 585, 6765, 540, 11955, 1813, 547, 519, 5046, 268, 866, 6855, 269, 30131, 27084, 454, 8196, 938, 13382, 1327, 1807, 3028, 543, 14282, 13428, 333, 781, 14997, 2329, 25032, 15507, 3767, 0, 303, 3951, 4811, 289, 7838, 21203, 630, 28474, 25605, 264, 1107, 2060, 782, 519, 4411, 267, 6777, 543, 4672, 25015, 267, 1004, 616, 3168, 585, 6070, 563, 3719, 875, 798, 596, 917, 799, 2186, 547, 1205, 888, 291, 537, 326, 590, 2660, 7615, 693, 17029, 11502, 10434, 2264, 538, 24398, 269, 26288, 3838, 513, 2370, 4672, 13621, 476, 6200, 269, 3918, 4696, 27749, 281, 595, 4319, 338, 9612, 6115, 6019, 1280, 31932, 476, 4792, 268, 17413, 14114, 671, 3627, 681, 4428, 532, 454, 2108, 305, 1442, 17865, 568, 606, 20522, 1587, 547, 946, 267, 855, 596, 4043, 547, 723, 547, 946, 811, 2223, 590, 2660, 7615, 1767, 563, 3891, 849, 1767, 621, 4465, 1406, 960, 538, 2539, 5210, 267, 15663, 602, 621, 779, 1447, 3742, 2630, 476, 1428, 5232, 563, 3383, 1018, 827, 13101, 17296, 888, 10527, 8799, 3364, 827, 4012, 17296, 568, 602, 621, 3762, 513, 2370, 21225, 3297, 1310, 621, 26088, 13621, 543, 621, 3762, 513, 21225, 1394, 543, 5170, 547, 581, 3742, 585, 513, 1974, 540, 942, 2223, 1767, 590, 2660, 7615, 563, 4517, 875, 798, 1346, 5635, 609, 7513, 17296, 286, 3918, 4696, 27749, 281, 1325, 5586, 1156, 344, 6019, 18614, 476, 276, 5046, 268, 866, 4934, 3691, 6545, 267, 476, 277, 1849, 31255, 769, 12140, 454, 10527, 2601, 1608, 17296, 568, 865, 2442, 568, 1317, 621, 5283, 1206, 693, 2942, 476, 1839, 5232, 2223, 1767, 590, 2660, 7615, 563, 306, 2660, 7615, 849, 3081, 519, 10652, 2280, 1106, 540, 7513, 17296, 568, 1271, 563, 2108, 4322, 2370, 5180, 26005, 786, 2965, 16004, 9475, 267, 16590, 9475, 538, 707, 4672, 543, 2965, 2014, 519, 4672, 547, 11523, 6306, 2223, 646, 1767, 563, 28474, 25605, 3576, 782, 1614, 3029, 540, 6070, 543, 1705, 606, 4603, 547, 1294, 875, 789, 7318, 563, 307, 5281, 856, 7513, 17296, 5249, 519, 16595, 267, 855, 519, 4224, 6070, 729, 849, 8066, 922, 1378, 563, 5475, 1079, 3108, 267, 519, 7513, 17296, 543, 4224, 6070, 530, 21317, 856, 519, 4672, 267, 609, 519, 13101, 17296, 513, 11397, 3791, 8160, 16800, 21832, 306, 281, 29016, 16661, 281, 10088, 2286, 12019, 13571, 8871, 14186, 570, 1941, 5964, 13772, 267, 570, 1941, 5964, 2782, 940, 1306, 17897, 15448, 1677, 12096, 454, 2791, 2904, 4746, 2142, 9314, 539, 769, 1452, 26257, 5240, 12267, 454, 314, 5891, 1790, 739, 338, 7121, 284, 892, 18080, 892, 12109, 3899, 284, 892, 592, 892, 9708, 30648, 318, 2457, 284, 892, 275, 16357, 2639, 18794, 634, 22062, 566, 2201, 634, 918, 291, 25605, 9365, 8525, 454, 26835, 5455, 1677, 11261, 267, 7427, 918, 291, 25605, 2201, 12108, 0, 763, 993, 17789, 323, 8403, 267, 5310, 811, 982, 1022, 824, 2634, 3148, 267, 814, 1044, 26582, 538, 3875, 5778, 17595, 12278, 543, 5778, 16467, 11365, 4713, 269, 898, 568, 851, 540, 513, 1062, 7620, 7960, 547, 3713, 12178, 538, 519, 1604, 543, 1110, 3634, 7766, 6114, 267, 799, 666, 25340, 3310, 1480, 2623, 269, 1403, 922, 12939, 568, 1305, 1932, 1970, 267, 7363, 22480, 3344, 540, 519, 1604, 616, 9228, 607, 12178, 267, 4205, 616, 3908, 267, 543, 4160, 949, 8451, 269, 1403, 1305, 1932, 1164, 267, 1981, 2921, 4679 ]

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

[ 17056, 2960, 2068, 281, 6206, 18745, 912, 1103, 513, 1713, 1646, 267, 1079, 15096, 2752, 32112, 723, 2813, 519, 700, 2794, 328, 268, 3682, 309, 659, 6669, 267, 799, 519, 3084, 2229, 1631, 30242, 547, 5010, 1047, 607, 4166, 607, 2009, 538, 1931, 547, 2270, 519, 12176, 540, 700, 17056, 2960, 2068, 602, 814, 7166, 5215, 540, 12418, 2066, 2789, 4095, 2829, 936, 519, 2250, 1896, 4374, 563, 763, 700, 2794, 328, 268, 3682, 309, 659, 6669, 779, 1646, 1282, 519, 3105, 1614, 1296, 729, 4330, 676, 3220, 269, 715, 1511, 523, 27958, 267, 513, 11001, 693, 519, 15096, 2752, 2817, 3194, 10418, 585, 4982, 1149, 538, 670, 776, 3570, 945, 16136, 1177, 519, 6669, 8062, 563, 299, 2794, 328, 268, 3682, 309, 659, 585, 700, 17056, 2960, 2068, 281, 700, 17056, 16164, 8376, 912, 299, 17056, 2960, 2068, 267, 799, 5540, 1312, 16933, 543, 10889, 531, 3996, 543, 568, 4547, 593, 676, 519, 1698, 8692, 2135, 3644, 267, 24283, 922, 2012, 689, 519, 7372, 267, 6109, 12162, 2737, 602, 2408, 593, 519, 2960, 540, 12418, 945, 723, 519, 2783, 563, 8448, 4191, 540, 519, 700, 17056, 2960, 2068, 538, 891, 2831, 1331, 4965, 267, 31792, 26628, 267, 543, 7050, 2892, 10474, 563, 763, 12162, 2737, 5555, 28230, 267, 4611, 538, 519, 2831, 11702, 269, 634, 700, 17056, 2960, 2068, 10194, 4576, 4867, 814, 1100, 1634, 2126, 282, 3079, 267, 4791, 2589, 616, 5097, 7307, 563, 763, 23820, 21479, 6669, 267, 799, 849, 3091, 930, 4027, 1996, 700, 17056, 2960, 2068, 267, 568, 4867, 1373, 3351, 2213, 547, 2061, 519, 2068, 563, 299, 2794, 328, 268, 3682, 309, 659, 585, 700, 17056, 2960, 2068, 281, 6713, 912, 2005, 13408, 21260, 12490, 540, 519, 561, 17056, 2960, 2068, 3644, 2094, 700, 2794, 328, 268, 3682, 309, 659, 568, 513, 2661, 22887, 18050, 12674, 269, 12824, 1031, 4719, 4702, 2553, 1572, 17626, 1780, 1645, 547, 14020, 519, 3644, 12490, 269, 898, 3576, 606, 3003, 476, 272, 269, 276, 1296, 547, 1020, 519, 3617, 22887, 18050, 8833, 585, 700, 2794, 328, 268, 3682, 309, 659, 269, 6969, 2361, 8062, 267, 519, 700, 2794, 328, 268, 3682, 309, 659, 6669, 23384, 3106, 4152, 593, 8983, 543, 17544, 563, 306, 532, 12940, 14828, 22087, 836, 267, 4087, 540, 4880, 1690, 328, 779, 25337, 11910, 968, 2419, 14900, 667, 650, 328, 7536, 763, 2817, 11595, 8274, 7150, 602, 22087, 836, 630, 331, 6327, 540, 4880, 1690, 328, 4427, 1695, 338, 932, 18588, 645, 846, 30778, 25337, 11910, 968, 2419, 14900, 667, 650, 328, 14615, 786, 1631, 4309, 519, 31790, 21073, 540, 4427, 553, 932, 18588, 645, 846, 543, 519, 6574, 1377, 540, 4027, 2009, 896, 14135, 779, 27264, 540, 3933, 3701, 2920, 630, 26822, 289, 1040, 2201, 4864, 476, 280, 267, 476, 1708, 273, 267, 519, 2197, 540, 14135, 9976, 922, 476, 6872, 628, 2817, 4303, 267, 543, 519, 22087, 836, 11599, 3039, 4087, 729, 11280, 607, 519, 476, 4037, 628, 3084, 15224, 563, 303, 611, 836, 568, 513, 521, 14184, 1930, 2361, 28379, 538, 14135, 1141, 267, 538, 5147, 476, 3707, 274, 267, 4880, 1690, 328, 4427, 13757, 932, 18588, 645, 846, 9447, 519, 8360, 968, 22013, 6062, 932, 14900, 1848, 2290, 540, 519, 9510, 1930, 5624, 1869, 538, 946, 2221, 267, 22087, 836, 814, 1713, 3084, 267, 3140, 267, 543, 1514, 1871, 269, 898, 568, 1134, 2000, 27419, 585, 18942, 2621, 899, 15989, 6367, 1782, 267, 25319, 267, 11176, 267, 543, 4672, 19735, 563, 8138, 13757, 932, 18588, 645, 846, 281, 6168, 454, 24465, 28929, 4427, 13757, 932, 18588, 645, 846, 630, 2537, 5130, 476, 6245, 278, 1107, 476, 1240, 4864, 476, 3707, 276, 264, 729, 688, 6150, 607, 513, 5869, 676, 1010, 8284, 2197, 5443, 585, 1010, 1219, 4800, 540, 3703, 4341, 538, 3127, 267, 855, 4427, 13757, 932, 18588, 645, 846, 30778, 29053, 13218, 547, 13303, 5125, 543, 15875, 3567, 2451, 3297, 513, 9371, 12735, 4240, 676, 2278, 23540, 267, 4550, 4149, 30146, 267, 543, 4108, 5821, 269, 7216, 538, 476, 3707, 273, 267, 4436, 543, 4095, 8387, 538, 519, 7981, 13163, 585, 3127, 538, 12670, 543, 4095, 7980, 540, 519, 1473, 27528, 6181, 542, 9619, 4427, 13757, 932, 18588, 645, 846, 607, 4880, 1690, 328, 585, 519, 1101, 942, 269, 898, 568, 27057, 3351, 2213, 782, 2429, 3127, 563, 8138, 13757, 932, 18588, 645, 846, 281, 10897, 611, 13130, 454, 7628, 2622, 2782, 4083, 267, 606, 4095, 10151, 7245, 1634, 607, 10897, 611, 13130, 729, 2813, 538, 5545, 268, 31039, 14135, 269, 898, 729, 3964, 538, 5239, 476, 3707, 274, 543, 729, 7494, 882, 5050, 593, 519, 7276, 540, 3567, 269, 898, 729, 513, 5057, 540, 519, 2797, 3350, 602, 3459, 3544, 540, 3127, 538, 519, 476, 3707, 271, 338, 609, 519, 2832, 540, 796, 1746, 609, 519, 31196, 7060, 547, 1863, 3127, 689, 3703, 1852, 269, 769, 519, 8545, 5933, 540, 2622, 2782, 4083, 267, 4095, 3084, 1235, 538, 24815, 8547, 621, 538, 14135, 609, 2883, 267, 4108, 267, 543, 2797, 1489, 689, 15875, 3567, 269, 634, 2229, 267, 799, 729, 3964, 593, 5181, 476, 272, 267, 476, 3707, 273, 267, 729, 12592, 676, 519, 2093, 540, 4427, 13757, 932, 18588, 645, 846, 267, 945, 6039, 607, 1312, 519, 2212, 540, 1533, 543, 519, 2229, 563, 300, 1410, 4618, 5518, 23083, 4708, 10243, 3366, 676, 476, 274, 3401, 1519, 6751, 3525, 328, 454, 763, 11204, 5518, 267, 1656, 337, 15530, 2494, 3241, 700, 6759, 19649, 5136, 30786, 814, 6069, 602, 519, 1283, 10243, 1058, 1331, 15352, 14731, 267, 519, 6167, 14199, 29731, 267, 21293, 717, 17458, 637, 267, 543, 4095, 6751, 715, 732, 526, 571, 3525, 328, 269, 634, 2832, 540, 519, 10243, 1131, 581, 547, 1459, 513, 11556, 547, 3247, 519, 10617, 1472, 519, 1158, 543, 3914, 606, 6876, 547, 3343, 513, 1854, 576, 585, 693, 2547, 2947, 1296, 269, 634, 10243, 6663, 547, 3247, 10617, 2066, 519, 1158, 543, 3914, 606, 6876, 547, 3343, 513, 1854, 576, 585, 693, 2547, 2947, 1296, 563, 763, 11204, 5518, 568, 4058, 547, 10505, 513, 2854, 11556, 547, 519, 6167, 547, 1711, 519, 10243, 267, 1500, 909, 540, 1614, 1158, 3401, 267, 1519, 6751, 3525, 328, 267, 547, 3895, 513, 1158, 1854, 576, 585, 513, 1974, 540, 2947, 1296, 563, 763, 11204, 5518, 814, 14376, 3624, 267, 6576, 267, 543, 519, 2475, 547, 3343, 4708, 543, 547, 1439, 2112, 3697, 3527, 563, 2026, 829, 519, 5136, 30786, 267, 519, 6069, 1854, 576, 786, 948, 538, 8757, 606, 6876, 538, 519, 2013, 540, 15990, 267, 5840, 543, 21157, 563, 16031, 3525, 328, 543, 824, 3401, 540, 519, 16588, 2276, 616, 4397, 547, 7119, 538, 519, 8400, 950, 519, 2518, 1560, 786, 1865, 519, 16839, 538, 12907, 267, 717, 18054, 853, 8692, 543, 519, 6237, 8082, 936, 15990, 563, 6635, 7217, 2088, 779, 681, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 3957, 6167, 300, 8104, 7709, 779, 2212, 454, 2304, 4810, 14861, 710, 534, 26010, 11464, 267, 681, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 814, 1044, 3957, 10361, 540, 17030, 543, 12751, 13639, 9866, 13996, 585, 519, 2136, 8315, 13639, 9866, 13996, 6828, 538, 3127, 543, 9031, 630, 7419, 300, 8104, 7709, 264, 676, 6167, 14199, 4937, 21293, 717, 17458, 637, 1547, 11683, 4937, 21280, 2946, 4432, 611, 1470, 1325, 322, 664, 540, 772, 2607, 340, 599, 3268, 1524, 538, 12797, 540, 681, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 21586, 540, 18335, 607, 10361, 540, 17030, 543, 12751, 13639, 9866, 13996, 585, 6167, 300, 8104, 7709, 267, 4171, 4305, 568, 827, 547, 581, 6192, 269, 11683, 4937, 1325, 4754, 729, 9684, 539, 676, 519, 14199, 29731, 585, 1010, 6351, 609, 6167, 4708, 15209, 2238, 563, 305, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 281, 6168, 454, 305, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 814, 1185, 513, 1279, 4876, 538, 519, 14861, 710, 534, 13108, 2094, 4271, 908, 607, 513, 544, 26680, 1222, 2006, 689, 519, 13108, 9142, 538, 476, 2735, 279, 267, 2687, 547, 519, 23318, 563, 305, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 1034, 5063, 5249, 609, 519, 17434, 16065, 607, 519, 2489, 8689, 540, 2069, 267, 2866, 267, 543, 14985, 630, 1708, 273, 1916, 26212, 547, 713, 267, 681, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 6039, 607, 519, 13108, 2782, 11071, 3427, 779, 4065, 4972, 12751, 630, 1001, 279, 1070, 519, 3057, 1149, 32691, 18307, 564, 2155, 6387, 630, 289, 3419, 1228, 2155, 6387, 264, 630, 1708, 271, 1700, 1708, 272, 1070, 519, 3057, 1149, 32691, 2155, 6387, 630, 17357, 1186, 2155, 6387, 264, 630, 1708, 271, 1700, 1708, 272, 1070, 543, 519, 16470, 267, 13639, 267, 25220, 267, 543, 5794, 5900, 778, 2946, 538, 6576, 630, 1001, 279, 1700, 1001, 280, 1040, 630, 1001, 277, 268, 1001, 279, 1916, 305, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 281, 19881, 7736, 324, 822, 832, 454, 305, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 729, 513, 9751, 20229, 538, 606, 1977, 13149, 17620, 31118, 10283, 538, 606, 5385, 10872, 609, 14861, 710, 3057, 1149, 630, 1220, 273, 268, 1220, 274, 1916, 305, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 814, 15548, 538, 1079, 4708, 15209, 13485, 267, 1519, 519, 2136, 8315, 570, 16078, 8111, 9679, 9257, 630, 7419, 4811, 302, 264, 538, 476, 1220, 278, 543, 519, 2136, 8315, 13458, 15209, 10414, 538, 30259, 630, 7419, 293, 2975, 24688, 264, 538, 476, 1960, 274, 543, 476, 1960, 275, 563, 12234, 267, 681, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 5249, 585, 519, 2136, 8315, 4886, 19510, 630, 7419, 7894, 264, 538, 4911, 7637, 607, 513, 5274, 9107, 5915, 1456, 8111, 6665, 528, 630, 1960, 278, 268, 1960, 279, 1916, 763, 1893, 1983, 540, 681, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 1331, 2596, 6739, 543, 14082, 563, 305, 792, 31288, 2871, 650, 1069, 334, 623, 32631, 681, 3930, 814, 10927, 5232, 689, 661, 4149, 531, 644, 2160, 543, 519, 25220, 2160, 4659, 538, 18335, 563, 7419, 300, 8104, 7709, 1185, 476, 9340, 10986, 18611, 607, 540, 5437, 476, 1708, 272, 267, 1519, 476, 6924, 21127, 543, 476, 6246, 20226, 593, 17030, 269, 634, 1101, 5428, 540, 2136, 8315, 4108, 24319, 9411, 519, 5692, 1858, 538, 5130, 476, 3707, 280, 547, 6895, 519, 1854, 576, 1063, 3127, 543, 9031, 538, 808, 2459, 340, 543, 22758, 267, 2687, 547, 717, 17458, 637, 267, 945, 729, 6340, 950, 9683, 6167, 300, 8104, 7709, 22071, 538, 5771, 21171, 538, 5988, 476, 1708, 271, 563, 15307, 21521, 538, 5130, 476, 3707, 280, 267, 6167, 300, 8104, 7709, 269, 634, 11645, 540, 6167, 300, 8104, 7709, 723, 1044, 547, 4585, 267, 547, 519, 4110, 1316, 27809, 267, 7835, 4143, 547, 519, 7453, 11268, 540, 519, 24044, 13933, 540, 5412, 476, 1704, 267, 476, 3192, 272, 267, 799, 4553, 519, 476, 3192, 272, 3127, 6261, 8140, 4655, 543, 513, 2663, 24044, 13933, 6876, 267, 543, 547, 1867, 972, 517, 547, 519, 14199, 29731, 269, 2991, 519, 3244, 5055, 15716, 543, 519, 1671, 5224, 5250, 540, 519, 7412, 540, 6513, 267, 3127, 814, 10645, 602, 6167, 300, 8104, 7709, 814, 4503, 782, 10083, 543, 568, 1100, 3476, 3730, 630, 299, 334, 290, 1916, 17220, 700, 1030, 628, 32752, 4303, 4767, 593, 476, 1724, 628, 4864, 454, 17220, 700, 1030, 628, 32752, 4303, 568, 4767, 593, 4864, 476, 1724, 2066, 519, 1158, 269, 634, 1554, 568, 4767, 547, 6318, 4656, 827, 519, 2451, 344, 1004, 779, 1995, 609, 2713, 538, 513, 1318, 11804, 8789, 1158, 269, 634, 1554, 849, 19082, 4656, 593, 2152, 5185, 676, 2451, 11804, 619, 267, 19838, 519, 2956, 540, 519, 2027, 2115, 585, 2451, 26370, 1453, 543, 519, 10171, 585, 2451, 11804, 619, 547, 1020, 18624, 563, 17220, 700, 1030, 628, 32752, 4303, 476, 1708, 273, 281, 19043, 454, 763, 1554, 6663, 547, 6318, 4656, 827, 1373, 2451, 26370, 538, 513, 15866, 1318, 26370, 1158, 269, 898, 22842, 2451, 26370, 1004, 779, 22464, 543, 3604, 267, 513, 15410, 540, 8103, 16030, 5722, 547, 4557, 829, 1298, 540, 519, 1158, 779, 2551, 563, 17220, 700, 1030, 628, 32752, 4303, 281, 3778, 454, 17220, 700, 1030, 628, 32752, 4303, 729, 9250, 676, 519, 11833, 607, 606, 5993, 2680, 593, 476, 1724, 628, 4864, 476, 1960, 273, 950, 682, 325 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10598, 566, 20438, 269, 4033, 17161, 3651, 2418, 585, 1142, 4781, 267, 971, 607, 519, 942, 13050, 8884, 269, 4256, 3898, 568, 8032, 899, 1341, 4486, 5320, 284, 7407, 269, 634, 13214, 3681, 616, 912, 8196, 1496, 2710, 711, 946, 316, 27427, 950, 13214, 532, 513, 6389, 2012, 7746, 269, 634, 9949, 2623, 568, 547, 946, 772, 7894, 267, 4849, 585, 589, 311, 15709, 610, 26577, 15709, 13668, 267, 547, 946, 513, 27427, 4276, 563, 8196, 1496, 2710, 711, 946, 316, 27427, 950, 13214, 532, 519, 2012, 7746, 269, 1341, 314, 17472, 316, 307, 9573, 781, 14595, 16105, 2488, 18807, 17356, 269, 966, 290, 6763, 585, 14044, 5547, 563, 296, 3913, 648, 519, 14443, 540, 519, 772, 7894, 3210, 267, 711, 1427, 787, 609, 27427, 269, 27427, 1427, 1845, 616, 2196, 676, 9949, 563, 30787, 513, 3406, 1592, 602, 3568, 513, 2582, 6389, 1474, 17575, 5526, 547, 581, 9138, 676, 519, 6389, 29660, 1673, 1311, 633, 538, 270, 31756, 270, 637, 565, 341, 269, 20813, 267, 543, 519, 9612, 1592, 4393, 568, 13087, 267, 607, 952, 519, 1341, 14142, 4781, 568, 2016, 563, 288, 3406, 1592, 602, 568, 3989, 1210, 519, 1496, 4777, 711, 946, 316, 3406, 1592, 610, 6389, 29660, 1673, 1311, 1161, 538, 5543, 341, 269, 20813, 630, 604, 1022, 1040, 634, 3406, 1592, 568, 711, 1031, 676, 9949, 563, 8253, 5227, 607, 513, 28395, 585, 1341, 314, 7224, 316, 14142, 563, 1607, 4781, 1281, 4986, 269, 1261, 568, 1031, 547, 1683, 17356, 609, 4587, 8747, 540, 6226, 602, 616, 27358, 547, 711, 2936, 16163, 518, 17514, 563, 18183, 2682, 519, 1496, 2710, 711, 19022, 316, 5084, 630, 9418, 1239, 264, 3787, 538, 519, 13214, 269, 634, 5084, 3787, 1631, 814, 3044, 2495, 1152, 538, 519, 3210, 267, 855, 711, 538, 519, 13214, 267, 855, 585, 1264, 28467, 621, 568, 2009, 547, 19022, 713, 2773, 538, 519, 13214, 563, 18183, 2682, 519, 1496, 2710, 711, 19022, 316, 7131, 630, 13765, 16981, 264, 3787, 538, 519, 13214, 269, 1261, 13668, 602, 519, 7746, 711, 2196, 519, 667, 301, 7704, 4488, 26117, 540, 519, 3210, 1344, 563, 763, 28251, 630, 7528, 2231, 25276, 264, 3787, 12122, 538, 519, 7004, 13214, 269, 901, 3787, 568, 27358, 676, 9949, 267, 799, 1797, 602, 2007, 7363, 15920, 513, 25276, 13214, 269, 1234, 15479, 542, 568, 8850, 16981, 950, 596, 946, 519, 13214, 4781, 1341, 985, 14142, 610, 1341, 10177, 576, 563, 2691, 713, 4781, 568, 27358, 267, 6226, 8942, 547, 12398, 519, 22265, 6389, 2012, 7746, 602, 3568, 519, 3060, 10126, 585, 799, 519, 2012, 568, 547, 581, 22646, 543, 10525, 519, 14298, 288, 2594, 585, 1142, 6389, 2012, 7746, 538, 519, 3060, 10126, 563, 3519, 3200, 519, 21285, 2619, 10250, 547, 519, 2012, 602, 596, 1616, 547, 13214, 689, 519, 3597, 2012, 7746, 269, 32274, 568, 711, 1031, 676, 9949, 269, 4495, 16439, 568, 13087, 267, 6226, 3096, 606, 27952, 13214, 547, 8207, 519, 2012, 547, 581, 844, 518, 1221, 269, 1261, 786, 4159, 513, 3210, 689, 1142, 7746, 602, 3096, 519, 8207, 13214, 267, 607, 26518, 689, 519, 3597, 7746, 563, 306, 1115, 519, 3355, 6085, 538, 519, 3977, 602, 6920, 519, 2007, 4528, 543, 519, 13214, 3681, 1031, 269, 22227, 616, 10268, 676, 9949, 563, 17809, 728, 513, 5618, 3210, 269, 634, 9949, 1871, 568, 547, 4159, 519, 16253, 1344, 538, 513, 8231, 846, 3898, 563, 2691, 519, 1341, 26211, 4781, 568, 13087, 267, 519, 7379, 2232, 543, 2823, 1297, 3177, 547, 519, 2626, 616, 10268, 1496, 528, 711, 10268, 4940, 1403, 513, 2110, 3898, 2626, 568, 16761, 267, 519, 2707, 2232, 543, 2823, 1297, 540, 519, 7746, 13859, 547, 519, 2626, 616, 711, 10268, 676, 9949, 563, 763, 6085, 3515, 538, 519, 7004, 3977, 616, 10268, 269, 634, 9949, 1871, 568, 547, 4159, 513, 6085, 563, 1607, 13214, 4781, 5036, 519, 4159, 7194, 281, 1879, 519, 13214, 568, 1500, 267, 519, 2450, 540, 519, 2626, 267, 543, 865, 593, 269, 634, 13214, 7194, 616, 10268, 676, 9949, 563, 11514, 680, 904, 519, 13214, 7662, 602, 729, 2366, 1496, 2254, 10268, 4940, 634, 9949, 568, 711, 10268, 563, 2691, 519, 2626, 568, 8120, 267, 519, 1966, 6712, 540, 519, 13214, 7662, 568, 10268, 269, 634, 1966, 3296, 568, 10268, 676, 9949, 607, 513, 6085, 563, 11514, 680, 904, 519, 2626, 851, 540, 519, 1496, 2710, 711, 1397, 316, 2626, 269, 18224, 539, 676, 9949, 563, 11514, 680, 904, 519, 10479, 6712, 540, 519, 1496, 4777, 711, 1397, 316, 2626, 269, 18224, 539, 676, 9949, 563, 11514, 680, 904, 606, 3606, 851, 540, 519, 1496, 2710, 711, 1397, 316, 2626, 269, 18224, 539, 676, 9949, 563, 3519, 14808, 999, 610, 1579, 1513, 1022, 4159, 17514, 563, 18183, 2682, 519, 942, 13050, 585, 519, 13214, 547, 570, 7643, 269, 634, 9949, 568, 476, 276, 7643, 269, 1403, 570, 568, 27358, 547, 513, 1297, 1447, 982, 476, 272, 267, 519, 13214, 942, 13050, 568, 476, 272, 7643, 563, 18183, 2682, 519, 1427, 787, 8942, 547, 6494, 513, 772, 7894, 13214, 7662, 547, 519, 7746, 547, 513, 267, 3079, 540, 519, 9949, 476, 274, 2053, 269, 1403, 589, 568, 1447, 982, 610, 3160, 547, 476, 271, 267, 1287, 476, 272, 568, 1031, 607, 519, 1427, 787, 1293, 563, 2690, 2407, 7156, 267, 519, 12122, 1590, 2408, 538, 519, 1297, 540, 2798, 538, 2012, 667, 269, 634, 9949, 1871, 568, 3989, 1210, 519, 715, 25854, 3948, 538, 270, 31756, 270, 637, 565, 341, 269, 20813, 267, 610, 476, 272, 267, 952, 972, 568, 1100, 26998, 1824, 3948, 269, 18780, 609, 7864, 2798, 616, 14648, 607, 3448, 4408, 543, 22646, 676, 23792, 29660, 1673, 1311, 1161, 538, 519, 2361, 610, 3561, 270, 31756, 270, 637, 565, 341, 269, 20813, 538, 519, 3406, 1592, 563, 18183, 2682, 519, 772, 7894, 5048, 17280, 2450, 547, 581, 645, 25466, 1210, 11581, 10064, 271, 269, 634, 5021, 543, 5934, 2418, 585, 519, 10889, 619, 616, 476, 277, 4649, 3374, 543, 476, 271, 267, 6606, 269, 18880, 3564, 713, 2039, 616, 8850, 17031, 547, 519, 14282, 4570, 1871, 563, 11514, 680, 904, 2147, 14298, 288, 6438, 5638, 538, 513, 1134, 1673, 564, 9229, 267, 3818, 11060, 3898, 609, 28505, 14391, 725, 269, 634, 9949, 1871, 568, 547, 4159, 513, 2594, 593, 1142, 1367, 1899, 865, 602, 519, 2780, 5543, 1407, 519, 3977, 540, 519, 2007, 563, 5415, 982, 835, 13214, 454, 14707, 781, 645, 18853, 280, 7028, 28408, 2789, 14511, 593, 519, 4971, 1899, 630, 611, 6463, 2934, 602, 1489, 519, 6363, 645, 2255, 3561, 4781, 1040, 3962, 13214, 666, 946, 922, 1378, 9206, 11353, 267, 3681, 267, 543, 13214, 3681, 563, 1103, 713, 2013, 267, 538, 519, 4971, 11060, 16105, 4330, 1657, 267, 1142, 13214, 4661, 4564, 606, 1367, 13214, 269, 3962, 835, 568, 1500, 909, 540, 1022, 3044, 3681, 543, 17514, 267, 519, 2012, 547, 581, 844, 518, 1221, 267, 519, 18593, 13214, 1826, 267, 543, 519, 1362, 267, 2059, 609, 1022, 13214, 3681, 602, 4019, 547, 519, 13214, 563, 2791, 666, 849, 946, 519, 6820, 4015, 540, 13214, 3681, 602, 616, 4570, 585, 1022, 13214, 269, 634, 2518, 13214, 4781, 1590, 9551, 324, 519, 24042, 540, 519, 1101, 2012, 267, 1362, 267, 1826, 267, 4781, 267, 9206, 267, 543, 13214, 3681, 593, 519, 4971, 1899, 269, 7102, 2518, 13214, 4781, 630, 21955, 585, 519, 1341, 314, 17472, 316, 290, 13270, 4781, 264, 666, 581, 19268, 676, 519, 1739, 13214, 2027, 4781, 269, 1280, 1383, 912, 14707, 1341, 336, 337, 8940, 269, 4593, 3820, 1022, 14870, 476, 14096, 269, 271, 269, 271, 269, 272, 568, 322, 3820, 562, 338, 1341, 17472, 304, 305, 1397, 2007, 1215, 547, 798, 1614, 14511, 689, 519, 4971, 1899, 281, 606, 17062, 13214, 585, 8940, 269, 4593, 3820, 267, 513, 476, 14096, 269, 271, 269, 271, 269, 272, 9258, 13214, 267, 2059, 609, 606, 594, 22085, 2594, 13214, 585, 1085, 3820, 269, 634, 1341, 304, 305, 6820, 13214, 4781, 568, 4294, 865, 602, 2007, 10525, 519, 3355, 13214, 585, 1142, 13214, 269, 634, 2063, 13214, 814, 513, 2199, 13214, 4781, 540, 1341, 17472, 304, 305, 267, 799, 6920, 602, 2007, 1281, 711, 4159, 519, 3355, 13214, 950, 10478, 585, 22085, 5638, 585, 568, 322, 3820, 563, 288, 6093, 2007, 1289, 568, 2147, 547, 912, 14707, 7711, 338, 13996, 2012, 1826, 1141, 912, 11243, 610, 7379, 2232, 540, 519, 2012, 7746, 596, 1616, 547, 13214, 269, 2052, 581, 513, 12297, 1673, 601, 574, 1243, 7379, 341, 275, 2232, 610, 513, 3935, 1673, 601, 574, 1243, 7379, 341, 277, 2232, 269, 1879, 519, 7746, 9936, 568, 3177, 676, 519, 3984, 267, 2007, 5543, 1407, 602, 2012, 1354, 13214, 532, 519, 4408, 13996, 269, 1403, 1100, 7746, 6724, 616, 2139, 267, 2007, 3277, 547, 270, 31756, 270, 637, 565, 341, 269, 20813, 267, 543, 1287, 13214, 519, 2012, 13763, 7396, 972, 269, 2598, 680, 904, 606, 2626, 689, 519, 6389, 2012, 7746, 563, 763, 2012, 540, 519, 4199, 2594, 602, 786, 581, 844, 518, 1221, 563, 11514, 680, 904, 519, 1826, 540, 13214, 596, 1616, 268, 1415, 267, 589, 267, 631, 311, 267, 590, 5456, 267, 543, 1022, 4570, 13214, 1826, 269, 1403, 1100, 1826, 9936, 568, 13859, 267, 2007, 786, 14892, 513, 13214, 1996, 2594, 589, 563, 14707, 4971, 19672, 630, 516, 2745, 9984, 288, 638, 534, 781, 1353, 0, 306, 1440, 5424, 6732, 4750, 19964, 476, 5908, 271, 268, 1220, 271, 454, 20082, 5525, 941, 5342, 547, 3313, 519, 2360, 540, 513, 20533, 6742, 1014, 1604, 593, 519, 6668, 540, 18714, 14471, 269, 3057, 10719, 10001, 1239, 941, 8246, 547, 3715, 519, 6742, 1014, 2203, 269, 4303, 270, 9519, 15203, 267, 2837, 267, 11195, 267, 2604, 267, 11626, 23466, 543, 3859, 23735, 2747, 941, 6417, 538, 513, 476, 11740, 271, 10264, 274, 11191, 12068, 693, 519, 645, 27739, 13573, 6611, 29896, 12524, 269, 5843, 13060, 1031, 538, 713, 1353, 3769, 7080, 5014, 540, 281, 289, 26808, 5705, 18442, 15254, 8542, 9528, 24032, 267, 513, 2618, 5268, 32281, 838, 648, 845, 518, 267, 543, 519, 7103, 8659, 538, 513, 3037, 900, 13955, 5423, 689, 1896, 11934, 269, 1325, 1172, 1824, 540, 1142, 20022, 941, 5116, 593, 5094, 25062, 16243, 5374, 1544, 3832, 1206, 267, 2011, 12015, 267, 543, 17479, 538, 476, 275, 6106, 538, 25062, 1929, 31354, 269, 2290, 28451, 540, 519, 5439, 5116, 593, 519, 2627, 4607, 519, 2698, 3859, 8552, 630, 271, 269, 4510, 3618, 3859, 21635, 5148, 519, 14230, 540, 519, 2627, 5439, 4607, 519, 1657, 2126, 14263, 519, 22292, 630, 10013, 264, 6712, 540, 519, 8552, 269, 4427, 338, 16577, 5439, 941, 5116, 538, 1929, 31354, 693, 17909, 540, 476, 271, 269, 276, 267, 476, 272, 269, 276, 543, 476, 274, 538, 269, 27834, 1239, 941, 5833, 585, 12068, 4598, 5712, 540, 476, 273, 267, 476, 275, 267, 543, 476, 279, 2395, 269, 1452, 1239, 5815, 602, 281, 630, 272, 264, 7103, 6534, 547, 519, 2698, 3859, 8552, 1705, 711, 7639, 267, 630, 273, 264, 513, 942, 8200, 267, 476, 272, 547, 476, 274, 2845, 267, 5786, 538, 2338, 7018, 538, 519, 2627, 5439, 602, 4607, 519, 3859, 8552, 14263, 11158, 267, 543, 630, 274, 264, 7449, 16577, 6668, 9867, 609, 3178, 543, 1826, 610, 11248, 563, 13911, 540, 23839, 281, 0, 763, 688, 516, 27894, 883, 519, 12475, 18857, 543, 14902, 338, 693, 922, 3500, 1145, 269, 1924, 789, 723, 513, 5198, 547, 1294, 945, 568, 519, 16595, 3662, 538, 519, 4104, 269, 1809, 519, 688, 516, 4991, 26531, 593, 519, 1259, 547, 519, 3803, 9206, 910, 945, 786, 3094, 888, 1607, 17157, 1223, 581, 1031, 547, 1451, 875, 547, 2161, 519, 6476, 2453, 538, 4457, 1412, 325, 2120, 982, 596, 3299, 1412, 1492, 1482, 3432, 262, 610, 1412, 2196, 5488, 8339, 634, 4116, 1223, 946, 519, 17157, 547, 2307, 519, 1053, 547, 5635, 519, 15529, 543, 519, 14854, 693, 519, 1114, 5933, 540, 519, 5198, 269, 32167, 2812, 1223, 2328, 513, 2241, 1909, 1404, 676, 2933, 2687, 547, 519, 1377, 540, 741, 4457, 269, 0, 12709, 16193, 6611, 454, 7468, 10675, 3549, 899, 6611, 311, 543, 645, 27739, 723, 3323, 547, 1491, 519, 1291, 538, 30768, 781, 15292, 883, 2230, 563, 24618, 568, 3458, 5446, 998, 2230, 693, 476, 272, 269, 274, 2929, 18890, 269, 589, 2241, 14318, 676, 513, 5449, 8331, 10196, 2982, 1018, 602, 5654, 899, 563, 24618, 25057, 519, 3141, 267, 799, 25057, 519, 4099, 540, 519, 27305, 10158, 14925, 267, 799, 568, 3294 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1607, 568, 519, 1360, 1101, 1007, 3758, 540, 519, 3786, 454, 1721, 1775, 538, 2039, 263, 272, 267, 476, 1015, 2187, 825, 1820, 3488, 295, 7637, 1412, 2608, 630, 328, 2608, 476, 273, 3738, 2020, 320, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 6540, 1721, 1297, 538, 513, 912, 825, 1820, 2891, 296, 1294, 14307, 1297, 267, 834, 3529, 4882, 15419, 2745, 3488, 19226, 632, 3288, 3632, 320, 17210, 1721, 1775, 538, 2039, 263, 272, 267, 476, 1428, 2187, 825, 1820, 3488, 3849, 3930, 1412, 2608, 630, 328, 2608, 476, 274, 3738, 994, 8931, 2745, 3488, 19226, 632, 3288, 3632, 320, 5073, 0, 5228, 28184, 5793, 1104, 2608, 1477, 5814, 6538, 1477, 5228, 7817, 1104, 2608, 1477, 5814, 8142, 532, 24653, 5035, 2871, 328, 6769, 825, 5727, 7666, 328, 1362, 910, 519, 1362, 602, 1711, 519, 717, 21397, 538, 713, 1788, 1477, 825, 543, 6023, 782, 519, 1919, 538, 4395, 540, 519, 7817, 1688, 2401, 18851, 5897, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1582, 17085, 1304, 815, 1849, 1304, 3890, 476, 1948, 1711, 7817, 1843, 1477, 1038, 1582, 269, 27665, 5334, 10547, 815, 570, 330, 14052, 1038, 1582, 269, 758, 815, 8771, 1477, 1038, 1948, 1711, 519, 2272, 5496, 540, 519, 1368, 328, 1477, 1038, 1582, 6230, 664, 318, 27665, 5334, 10547, 14052, 1038, 1582, 17902, 815, 7183, 1477, 1038, 1582, 269, 23298, 318, 18782, 815, 7183, 1477, 1038, 1582, 269, 23298, 5334, 10547, 815, 7183, 1477, 1038, 1582, 6745, 787, 318, 28785, 5334, 10547, 815, 7183, 1477, 1038, 1582, 30994, 20713, 318, 8421, 514, 26748, 318, 7901, 815, 7183, 1477, 1038, 1582, 4877, 817, 5320, 318, 8421, 514, 26748, 318, 7901, 815, 7183, 1477, 1038, 1582, 30994, 20713, 318, 13765, 815, 7183, 1477, 1038, 1582, 4877, 817, 5320, 318, 13765, 815, 7183, 1477, 1038, 1582, 28802, 514, 5334, 10547, 815, 7183, 1477, 1038, 1582, 30994, 20713, 815, 7183, 1477, 1038, 1582, 4877, 817, 5320, 815, 7183, 1477, 1038, 1582, 4877, 817, 5320, 26748, 318, 7901, 815, 7183, 1477, 1038, 1582, 30994, 20713, 26748, 318, 7901, 815, 7183, 1477, 1038, 1582, 4732, 793, 318, 1575, 5334, 10547, 815, 7183, 1477, 1038, 1582, 269, 4289, 7901, 815, 7183, 1477, 1038, 1582, 12500, 4265, 815, 8771, 1477, 1038, 1582, 27841, 815, 834, 29177, 1038, 1582, 269, 852, 15220, 520, 815, 834, 321, 5802, 4751, 29177, 1038, 1582, 269, 4289, 318, 8588, 815, 1496, 15947, 1038, 1582, 6155, 1112, 12173, 8548, 612, 1137, 815, 15079, 1477, 1038, 1582, 269, 3240, 12173, 815, 834, 29177, 1038, 1582, 17085, 1304, 12173, 9078, 8475, 815, 7183, 5897, 825, 1219, 678, 29764, 8548, 20687, 4311, 8029, 1038, 5727, 1477, 1038, 8142, 781, 1599, 602, 7227, 547, 4309, 5048, 1477, 1038, 5727, 1477, 1038, 1247, 711, 1582, 12500, 4265, 6769, 2018, 1780, 1477, 1038, 1247, 6936, 6769, 2018, 678, 29764, 318, 916, 326, 815, 1582, 17085, 1304, 269, 21683, 341, 8548, 20687, 14052, 2018, 1820, 16868, 29764, 318, 916, 326, 3418, 2018, 1582, 269, 8518, 548, 318, 916, 326, 16868, 29764, 318, 916, 326, 10142, 825, 1219, 6023, 318, 916, 326, 4311, 267, 678, 29764, 318, 916, 326, 8029, 1038, 5727, 1477, 1038, 1599, 602, 6023, 519, 1368, 328, 609, 519, 6835, 602, 1352, 4991, 1477, 1038, 5727, 1477, 1038, 547, 318, 3369, 558, 815, 834, 29177, 1038, 952, 834, 265, 257, 538, 678, 29764, 318, 916, 326, 281, 476, 1948, 2608, 910, 7696, 547, 519, 1592, 4216, 519, 2012, 540, 519, 7218, 1477, 2018, 1582, 269, 4289, 7901, 318, 12133, 16868, 29764, 318, 916, 326, 21858, 2891, 265, 8442, 314, 271, 29573, 1038, 8640, 834, 260, 257, 538, 678, 29764, 318, 916, 326, 281, 476, 1948, 4939, 910, 4991, 519, 2012, 540, 519, 7817, 689, 519, 21189, 610, 1129, 318, 1575, 538, 7817, 1688, 2401, 1477, 2018, 1582, 269, 3240, 12173, 815, 678, 29764, 318, 916, 326, 21858, 2891, 260, 8442, 314, 271, 15947, 2018, 1582, 17085, 1304, 12173, 9078, 8475, 9131, 3667, 11172, 815, 1582, 269, 3240, 12173, 1477, 1038, 8640, 834, 261, 257, 538, 678, 29764, 318, 916, 326, 281, 476, 1948, 1299, 910, 4357, 5048, 1477, 2018, 547, 318, 3369, 558, 815, 678, 29764, 318, 916, 326, 21858, 2891, 261, 8442, 314, 271, 15947, 2018, 678, 29764, 318, 916, 326, 815, 678, 29764, 318, 916, 326, 21858, 2891, 261, 8442, 314, 272, 15947, 2018, 952, 547, 318, 3369, 558, 538, 1582, 6155, 1112, 12173, 8548, 612, 1137, 281, 476, 1948, 1711, 610, 1039, 547, 519, 8675, 910, 630, 4486, 284, 2012, 264, 630, 7407, 815, 20444, 326, 3418, 3546, 1582, 6155, 1112, 12173, 8548, 612, 1137, 314, 1729, 318, 3369, 558, 4940, 6572, 16868, 29764, 318, 916, 326, 3418, 2018, 3116, 6769, 3546, 1582, 6155, 1112, 12173, 8548, 612, 1137, 269, 26303, 20719, 1729, 318, 3369, 558, 281, 1496, 21683, 341, 318, 916, 326, 316, 348, 3418, 1038, 3116, 281, 476, 1948, 13739, 6835, 1477, 2018, 547, 318, 3369, 558, 815, 834, 321, 5802, 4751, 29177, 2018, 952, 834, 321, 5802, 4751, 257, 538, 1582, 6155, 1112, 12173, 8548, 612, 1137, 281, 476, 1948, 1711, 610, 1039, 547, 519, 8675, 910, 1477, 3546, 1948, 630, 4486, 284, 13739, 264, 630, 7407, 815, 20444, 326, 3418, 3546, 1582, 6155, 1112, 12173, 8548, 612, 1137, 14277, 321, 5802, 4751, 257, 4940, 6572, 16868, 29764, 318, 916, 326, 3418, 2018, 3116, 6769, 3546, 1582, 6155, 1112, 12173, 8548, 612, 1137, 269, 26303, 20719, 257, 321, 5802, 4751, 9899, 1496, 21683, 341, 318, 916, 326, 316, 348, 3418, 1038, 952, 547, 318, 3369, 558, 2652, 1582, 269, 852, 15220, 520, 281, 476, 1948, 1403, 519, 7817, 568, 593, 519, 30699, 781, 2012, 538, 700, 8780, 19447, 311, 543, 646, 4309, 513, 5048, 1477, 2018, 1948, 1287, 519, 2786, 5048, 786, 581, 2854, 547, 519, 5496, 1477, 2018, 1582, 17902, 269, 20813, 2682, 263, 8063, 8782, 7538, 20298, 2018, 1582, 17902, 27044, 263, 21715, 267, 678, 29764, 318, 916, 326, 1341, 1412, 315, 333, 20298, 2018, 1582, 17902, 269, 20813, 2682, 263, 8063, 8782, 4134, 12574, 262, 10142, 825, 1219, 1129, 318, 1575, 4311, 8029, 1038, 5727, 22056, 519, 1129, 318, 1575, 5496, 18851, 1477, 1038, 1582, 4732, 793, 318, 1575, 5334, 10547, 815, 570, 963, 767, 4311, 269, 27665, 5334, 10547, 3418, 1038, 1582, 4732, 793, 318, 1575, 5334, 10547, 26644, 2891, 338, 793, 318, 1575, 14744, 1038, 1582, 4732, 793, 318, 1575, 5334, 10547, 269, 613, 5852, 2891, 4968, 343, 7742, 14744, 1038, 22443, 4311, 4732, 793, 318, 1575, 5334, 10547, 267, 1257, 284, 3269, 1040, 17569, 14052, 1038, 27024, 9078, 762, 815, 22443, 4311, 4732, 793, 318, 1575, 5334, 10547, 267, 1257, 6889, 5825, 20713, 14744, 1038, 27024, 9078, 762, 4877, 871, 14052, 1038, 1582, 30994, 20713, 815, 21642, 309, 541, 14052, 1038, 1582, 4877, 817, 5320, 815, 21642, 309, 541, 14052, 1038, 1582, 30994, 20713, 26748, 318, 7901, 815, 28678, 4311, 4732, 793, 318, 1575, 5334, 10547, 267, 1257, 19702, 762, 284, 1345, 30994, 20713, 3418, 1038, 1582, 30994, 20713, 26748, 318, 7901, 4877, 871, 14052, 1038, 10957, 9078, 762, 815, 22443, 4311, 4732, 793, 318, 1575, 5334, 10547, 267, 1257, 6889, 27879, 5320, 14744, 1038, 10957, 9078, 762, 4877, 871, 14052, 1038, 1582, 4877, 817, 5320, 26748, 318, 7901, 815, 28678, 4311, 4732, 793, 318, 1575, 5334, 10547, 267, 1257, 19702, 762, 284, 1345, 4877, 817, 5320, 267, 1397, 8782, 265, 20298, 1038, 1582, 4877, 817, 5320, 26748, 318, 7901, 4877, 871, 14052, 1038, 22443, 4311, 4732, 793, 318, 1575, 5334, 10547, 267, 1257, 284, 3269, 1040, 17569, 14052, 1038, 29502, 4311, 4732, 793, 318, 1575, 5334, 10547, 267, 1257, 6889, 338, 793, 318, 1575, 2580, 8700, 284, 1015, 267, 4463, 284, 272, 267, 536, 326, 6889, 333, 8283, 2580, 535, 326, 6889, 19009, 2580, 1477, 25639, 4971, 284, 1345, 4732, 793, 318, 1575, 318, 13765, 1040, 17569, 31476, 825, 1219, 21189, 4311, 8029, 1038, 5727, 22056, 519, 21189, 5496, 18851, 1477, 1038, 1582, 28802, 514, 5334, 10547, 815, 570, 963, 767, 4311, 269, 27665, 5334, 10547, 3418, 1038, 1582, 28802, 514, 5334, 10547, 26644, 2891, 19868, 514, 14744, 1038, 1582, 28802, 514, 5334, 10547, 269, 613, 5852, 2891, 4968, 343, 7742, 14744, 1038, 22443, 4311, 28802, 514, 5334, 10547, 267, 1257, 284, 3269, 1040, 17569, 14052, 1038, 1582, 30994, 20713, 318, 13765, 815, 21642, 309, 541, 14052, 1038, 1582, 4877, 817, 5320, 318, 13765, 815, 21642, 309, 541, 14052, 1038, 22443, 4311, 28802, 514, 5334, 10547, 267, 1257, 6889, 5825, 20713, 20257, 17569, 14052, 1038, 1582, 30994, 20713, 318, 8421, 514, 26748, 318, 7901, 815, 28678, 4311, 28802, 514, 5334, 10547, 267, 1257, 19702, 762, 284, 1345, 30994, 20713, 318, 13765, 3418, 1038, 1582, 30994, 20713, 318, 8421, 514, 26748, 318, 7901, 4877, 871, 14052, 1038, 22443, 4311, 28802, 514, 5334, 10547, 267, 1257, 284, 3269, 1040, 17569, 14052, 1038, 22443, 4311, 28802, 514, 5334, 10547, 267, 1257, 6889, 27879, 5320, 20257, 17569, 14052, 1038, 1582, 4877, 817, 5320, 318, 8421, 514, 26748, 318, 7901, 815, 28678, 4311, 28802, 514, 5334, 10547, 267, 1257, 19702, 762, 284, 1345, 4877, 817, 5320, 318, 13765, 267, 1397, 8782, 265, 20298, 1038, 1582, 4877, 817, 5320, 318, 8421, 514, 26748, 318, 7901, 4877, 871, 14052, 1038, 22443, 4311, 28802, 514, 5334, 10547, 267, 1257, 284, 3269, 1040, 17569, 14052, 1038, 29502, 4311, 28802, 514, 5334, 10547, 267, 1257, 6889, 19868, 514, 2580, 8700, 284, 1015, 267, 4463, 284, 272, 267, 536, 326, 6889, 333, 8283, 2580, 535, 326, 6889, 19009, 2580, 1477, 25639, 4971, 284, 1345, 28802, 514, 318, 13765, 1040, 17569, 31476, 825, 1219, 1129, 318, 1575, 318, 13765, 4311, 8029, 1038, 5727, 13765, 609, 519, 7817, 1688, 2401, 602, 519, 27024, 711, 538, 946, 18851, 1477, 1038, 27024, 318, 16769, 815, 1582, 30994, 20713, 10947, 14052, 1038, 10957, 318, 16769, 815, 1582, 4877, 817, 5320, 10947, 14052, 1038, 952, 1582, 30994, 20713, 10947, 3890, 2652, 15234, 610, 1582, 4877, 817, 5320, 10947, 3890, 2652, 15234, 6769, 2018, 1582, 6745, 787, 318, 28785, 14052, 1038, 3116, 6769, 2018, 1582, 17085, 1304, 4732, 754, 8548, 20687, 263, 639, 20713, 318, 16769, 1341, 834, 258, 257, 1341, 10957, 318, 16769, 3418, 2018, 678, 29764, 318, 916, 326, 815, 1582, 17085, 1304, 269, 21683, 341, 8548, 20687, 14052, 2018, 1820, 16868, 29764, 318, 916, 326, 3418, 2018, 1582, 30994, 20713, 26748, 318, 7901, 19709, 8541, 263, 271, 267, 13673, 291, 3418, 2018, 1582, 4877, 817, 5320, 26748, 318, 7901, 19709, 8541, 263, 271, 267, 13673, 291, 3418, 2018, 952, 834, 2224, 257, 538, 678, 29764, 318, 916, 326, 6769, 3546, 1582, 6745, 787, 318, 28785, 14052, 2018, 3116, 6769, 3546, 1582, 269, 758, 815, 6936, 1477, 3546, 1582, 269, 27665, 5334, 10547, 6155, 652, 5797, 31476, 825, 1219, 21189, 318, 13765, 4311, 8029, 1038, 5727, 13765, 609, 519, 7817, 1688, 2401, 602, 519, 27024, 543, 519, 10957, 616, 15502, 18851, 1477, 1038, 27024, 272, 815, 1582, 30994, 20713, 318, 13765, 10947, 14052, 1038, 10957, 272, 815, 1582, 4877, 817, 5320, 318, 13765, 10947, 14052, 1038, 952, 1582, 30994, 20713, 318, 13765, 10947, 3890, 2652, 15234, 610, 1582, 4877, 817, 5320, 318, 13765, 10947, 3890, 2652, 15234, 6769, 2018, 1582, 6745, 787, 318, 28785, 14052, 1038, 3116, 6769, 2018, 1582, 17085, 1304, 4732, 754, 8548, 20687, 263, 639, 20713, 272, 1341, 834, 834, 1341, 10957, 272, 3418, 2018, 678, 29764, 318, 916, 326, 815, 1582, 17085, 1304, 269, 21683, 341, 8548, 20687, 14052, 2018, 1820, 16868, 29764, 318, 916, 326, 3418, 2018, 1582, 30994, 20713, 318, 8421, 514, 26748, 318, 7901, 19709, 8541, 263, 271, 267, 13673, 291, 3418, 2018, 1582, 4877, 817, 5320, 318, 8421, 514, 26748, 318, 7901, 19709, 8541, 263, 271, 267, 13673, 291, 3418, 2018, 952, 834, 342, 3994, 257, 538, 678, 29764, 318, 916, 326, 6769, 3546, 1582, 6745, 787, 318, 28785, 14052, 2018, 3116, 6769, 3546, 1582, 269, 758, 815, 6936, 1477, 3546, 1582, 269, 27665, 5334, 10547, 6155, 652, 5797, 31476, 825, 1219, 2119, 318, 28785, 4311, 8029, 1038, 5727, 22056, 2119, 1586, 5496, 952, 972, 568, 513, 1966, 538, 1129, 318, 1575, 610, 21189, 18851, 1477, 1038, 1582, 6745, 787, 318, 28785, 5334, 10547, 815, 570, 330, 3890, 476, 1948, 1118, 2119, 318, 28785, 5334, 10547, 1477, 1038, 1582, 6745, 787, 318, 28785, 5334, 10547, 26644, 2891, 15045, 312, 589, 16598, 2562, 14744, 1038, 1582, 6745, 787, 318, 28785, 5334, 10547, 269, 613, 5852, 2891, 5611, 343, 1911, 14744, 1038 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 543, 13861, 1239, 1247, 10893, 519, 2179, 540, 3009, 2838, 547, 1685, 891, 4247, 269, 769, 713, 3296, 267, 649, 786, 5490, 7184, 883, 519, 4909, 2035, 540, 11759, 4578, 17563, 543, 4983, 875, 789, 666, 581, 4294, 547, 1711, 7347, 543, 3608, 25515, 3156, 780, 4263, 519, 2295, 540, 11759, 4578, 17563, 6013, 519, 1523, 540, 513, 7307, 1843, 2796, 630, 300, 8016, 1040, 634, 631, 8016, 5713, 607, 513, 15072, 25247, 1141, 2242, 547, 3615, 616, 27424, 2394, 789, 616, 12799, 10710, 547, 10770, 4859, 269, 1879, 2324, 609, 11759, 4578, 267, 596, 2253, 676, 2870, 513, 1007, 3236, 540, 22085, 10048, 3042, 30606, 3519, 3667, 269, 901, 2488, 596, 609, 513, 10145, 1793, 622, 2390, 799, 596, 666, 1628, 707, 3498, 781, 1239, 2203, 780, 763, 9988, 538, 11759, 4578, 2099, 519, 1585, 2010, 540, 3615, 602, 1118, 909, 707, 3498, 781, 1239, 2203, 269, 3962, 11769, 814, 10305, 2404, 609, 621, 267, 8204, 519, 3601, 540, 519, 7222, 1843, 1826, 269, 1280, 1383, 267, 952, 596, 941, 2679, 513, 17066, 3498, 267, 596, 1522, 723, 606, 11769, 1572, 13555, 609, 10305, 971, 607, 2012, 267, 4757, 2232, 267, 6049, 1297, 267, 3092, 780, 2414, 2170, 609, 519, 1239, 6740, 538, 11759, 4578, 267, 596, 946, 8320, 540, 22085, 10048, 3042, 30606, 267, 799, 5330, 547, 1367, 5638, 538, 707, 6538, 269, 1452, 3615, 616, 2813, 1210, 741, 9757, 11769, 11673, 267, 3850, 596, 547, 1305, 543, 1569, 14487, 2418, 269, 1635, 7900, 10099, 2583, 1996, 519, 631, 8016, 267, 596, 666, 23074, 4540, 22085, 10048, 3042, 30606, 338, 1759, 593, 1808, 7355, 780, 2026, 2242, 616, 1500, 547, 22085, 10048, 3042, 30606, 338, 1369, 519, 631, 8016, 267, 1346, 12381, 2611, 5667, 8491, 2394, 596, 12799, 1289, 4688, 593, 519, 2796, 269, 2311, 713, 1448, 267, 11759, 4578, 8850, 20362, 24758, 519, 2242, 883, 14069, 924, 12981, 267, 21130, 519, 5817, 10770, 4558, 9935, 269, 3958, 267, 11759, 4578, 7028, 3768, 334, 2359, 998, 22085, 308, 526, 334, 10048, 4526, 267, 7175, 3755, 547, 3362, 556, 3200, 23139, 19260, 780, 3080, 1883, 5413, 540, 1210, 11759, 4578, 17563, 568, 922, 2702, 547, 6023, 3347, 1063, 9988, 16900, 269, 17716, 666, 581, 3989, 607, 2901, 547, 14633, 610, 547, 2173, 1415, 4296, 267, 3246, 8112, 950, 9781, 1950, 1239, 3889, 269, 5015, 267, 11759, 4578, 4111, 1836, 21314, 3965, 6165, 3297, 519, 10207, 267, 10099, 4221, 1152, 519, 2556, 1239, 547, 11886, 3593, 13668, 543, 9319, 11991, 16841, 780, 4913, 267, 899, 1022, 2029, 267, 972, 616, 1761, 25354, 950, 2324, 609, 11759, 4578, 17563, 269, 2290, 1455, 3390, 14340, 1813, 547, 519, 21712, 2470, 540, 519, 5943, 3294, 282, 16789, 569, 27358, 2385, 30512, 8658, 949, 1291, 547, 6397, 2623, 1282, 17990, 269, 5047, 267, 3181, 19982, 2152, 1369, 11759, 4578, 666, 3006, 6961, 4101, 267, 8506, 6297, 6514, 540, 2845, 3977, 543, 23440, 609, 519, 4835, 25029, 540, 519, 5943, 780, 1103, 3932, 267, 13215, 11759, 4578, 17563, 16877, 9367, 547, 4739, 10427, 543, 17841, 25515, 3156, 5827, 540, 7829, 1804, 14449, 609, 8897, 269, 1635, 16107, 922, 3532, 2934, 543, 20170, 547, 1655, 2853, 267, 23501, 666, 2327, 5347, 22892, 1256, 538, 519, 1034, 14053, 1646, 5054, 269, 1677, 2417, 4396, 1518, 707, 1620, 540, 11759, 4578, 267, 2015, 3695, 4359, 3584, 971, 607, 598, 2017, 6275, 267, 2773, 11938, 267, 543, 5610, 609, 5007, 8021, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 28343, 7798, 4158, 4104, 1582, 31384, 25156, 454, 5575, 540, 782, 267, 7249, 17894, 585, 4466, 713, 25156, 256, 3143, 2339, 945, 596, 616, 1107, 952, 596, 616, 513, 15170, 23649, 610, 596, 1616, 547, 7914, 883, 519, 21888, 1158, 538, 519, 2104, 267, 713, 25156, 786, 948, 596, 513, 2603, 269, 1411, 1058, 1224, 713, 25156, 5702, 543, 4019, 922, 10752, 538, 1483, 1272, 563, 12234, 267, 547, 1174, 713, 25156, 4625, 3340, 930, 4282, 1702, 269, 1717, 267, 5225, 798, 711, 5855, 269, 1306, 585, 14987, 267, 798, 711, 581, 12922, 540, 519, 1702, 7496, 799, 666, 581, 7753, 269, 1403, 596, 7237, 1945, 602, 596, 1810, 1406, 1174, 267, 543, 991, 547, 2263, 811, 267, 5616, 568, 3810, 5227, 269, 4746, 267, 621, 568, 1271, 547, 1832, 835, 3354, 4341, 538, 2247, 281, 2142, 26617, 256, 3143, 2339, 1018, 1344, 596, 1294, 593, 519, 1357, 267, 596, 1058, 2141, 3343, 856, 693, 2547, 1079, 2959, 585, 3444, 3146, 12401, 563, 26139, 267, 2141, 581, 26617, 9462, 30904, 1519, 519, 1702, 5018, 538, 713, 25156, 563, 28343, 7798, 568, 513, 1390, 8798, 602, 6770, 827, 513, 1689, 538, 2504, 1894, 543, 31758, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 648, 4578, 17563, 257, 607, 851, 540, 834, 28035, 1315, 21952, 7010, 1315, 25515, 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, 6481, 9196, 4066, 723, 19117, 519, 2361, 540, 4915, 267, 7175, 3782, 4648, 547, 14650, 4835, 3889, 543, 3157, 1369, 519, 1480, 1560, 538, 13778, 1469, 269, 1452, 1875, 29554, 2553, 1683, 3407, 1344, 602, 2337, 7189, 13209, 3676, 267, 1544, 5574, 267, 543, 6895, 3461, 3356, 269, 769, 713, 3296, 267, 649, 786, 5490, 883, 930, 540, 519, 1034, 4922, 1031, 2564, 9196, 23857, 267, 3695, 741, 5817, 3741, 267, 9342, 267, 7687, 267, 543, 3156, 269, 1284, 786, 849, 1865, 6932, 3466, 543, 7760, 538, 891, 4610, 780, 272, 269, 2473, 11920, 7101, 25086, 281, 634, 5432, 1535, 11920, 3239, 814, 1044, 513, 20013, 540, 2564, 26129, 2094, 922, 6602, 538, 519, 3735, 13524, 2540, 269, 1635, 19713, 1164, 20589, 13590, 5982, 267, 1535, 17530, 1780, 998, 2571, 5160, 811, 3362, 982, 10053, 2326, 971, 607, 5642, 267, 2870, 4334, 1063, 1114, 2010, 540, 15629, 3889, 269, 901, 4480, 568, 3226, 3730, 585, 7114, 18655, 267, 4914, 3615, 267, 543, 1978, 2619, 3098, 899, 16415, 269, 1717, 267, 621, 1281, 4125, 9357, 1944, 5982, 267, 799, 949, 10460, 4220, 547, 2550, 952, 1697, 3106, 15416, 5749, 1405, 3144, 269, 10765, 7835, 538, 3059, 10237, 2762, 2709, 4824, 3239, 2298, 267, 4389, 4598, 2053, 267, 543, 2539, 5982, 13066, 3379, 547, 2757, 4670, 2861, 2409, 563, 273, 269, 6156, 539, 8751, 2762, 630, 6311, 2567, 11632, 1085, 22395, 9192, 2789, 1535, 11920, 20327, 9715, 693, 1585, 7285, 1472, 519, 3461, 547, 5352, 3444, 22891, 2592, 540, 519, 9703, 540, 519, 1560, 269, 4635, 4359, 6620, 267, 891, 1239, 5036, 1711, 2143, 1614, 8820, 11269, 540, 8219, 267, 1973, 8043, 267, 7633, 267, 543, 824, 8031, 269, 2755, 11632, 2488, 9120, 8901, 6571, 3379, 547, 6671, 10237, 21106, 267, 621, 27875, 2550, 547, 2362, 2157, 540, 9357, 1944, 5982, 269, 11627, 725, 538, 1970, 1673, 846, 10873, 267, 27952, 16646, 2553, 267, 543, 2203, 2861, 4485, 2832, 547, 7413, 891, 10898, 1510, 18731, 10368, 6111, 563, 274, 269, 25080, 1763, 28585, 24919, 630, 28122, 2567, 9521, 1535, 11920, 1759, 23857, 267, 18909, 18252, 2178, 6419, 4610, 543, 5925, 325, 15968, 20512, 547, 13861, 10570, 22140, 1765, 14588, 32496, 7250, 8444, 1336, 10731, 569, 538, 1216, 6675, 1765, 5976, 514, 519, 1560, 269, 1306, 891, 30809, 2132, 547, 11466, 267, 789, 12520, 3713, 762, 6786, 602, 7866, 1344, 827, 4478, 8031, 269, 4595, 18909, 3085, 1405, 7048, 593, 9357, 1944, 5982, 267, 621, 13514, 7864, 1761, 1072, 4220, 543, 3091, 5140, 2571, 2389, 22568, 4334, 269, 5871, 3156, 1331, 14715, 10526, 267, 30273, 20241, 267, 543, 9025, 18362, 269, 23397, 2553, 899, 6198, 18909, 630, 325, 28122, 1070, 18236, 21723, 9196, 630, 291, 2316, 1070, 543, 19182, 21655, 8831, 922, 7207, 3564, 7293, 9196, 267, 3246, 4030, 883, 2634, 2534, 267, 14479, 267, 543, 1979, 17190, 563, 275, 269, 8299, 14647, 281, 4746, 1634, 607, 5067, 2762, 267, 16953, 3096, 1164, 23151, 3280, 6329, 547, 3132, 1483, 6066, 2592, 540, 4835, 8219, 543, 3889, 269, 589, 1098, 706, 1356, 5116, 1996, 519, 2960, 32307, 543, 11392, 17974, 6786, 267, 799, 25483, 1055, 5160, 17103, 543, 2132, 547, 519, 3926, 585, 4393, 269, 5221, 16953, 12346, 593, 7344, 1648, 2864, 982, 5982, 267, 621, 4564, 513, 2922, 543, 1942, 15807, 4781, 585, 1082, 4791, 7653, 269, 898, 4249, 513, 2565, 1909, 538, 6188, 564, 3740, 1416, 267, 13057, 12362, 5773, 267, 543, 5464, 2175, 899, 6797, 2068, 543, 2295, 5821, 269, 25790, 538, 16953, 2029, 3136, 547, 3986, 3239, 2298, 267, 21774, 3178, 267, 543, 28576, 16980, 7207, 267, 2417, 9750, 922, 10626, 563, 276, 269, 24021, 12367, 281, 1306, 12985, 1379, 4679, 543, 5841, 4987, 6620, 2087, 267, 3684, 1565, 2553, 616, 1373, 7471, 883, 2564, 9196, 32262, 269, 12213, 1565, 3631, 8036, 593, 1804, 14449, 666, 4217, 10237, 5505, 538, 27295, 7020, 267, 18572, 267, 543, 26409, 4247, 267, 5732, 4227, 13260, 543, 2810, 4398, 269, 3958, 267, 8666, 659, 15064, 9196, 10905, 9804, 26149, 609, 24318, 21319, 15392, 547, 3035, 1164, 22822, 7636, 543, 6198, 9196, 2620, 1369, 6211, 8031, 269, 901, 10316, 1110, 1275, 6585, 9153, 585, 2038, 2860, 5868, 267, 10510, 14345, 4879, 267, 543, 6098, 3797, 5583, 269, 14936, 267, 519, 4473, 540, 7658, 25924, 543, 6552, 29492, 1282, 519, 5046, 268, 866, 6855, 8711, 519, 991, 585, 7347, 267, 5150, 267, 543, 3593, 7888, 5867, 602, 5512, 15774, 4687, 543, 7664, 540, 2564, 2592, 2066, 9883, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 713, 4647, 1620, 1072, 513, 25349, 4367, 649, 1294, 12261, 676, 513, 24228, 540, 4654, 689, 5739, 2686, 666, 641, 625, 263, 6792, 267, 8050, 267, 7977, 543, 2136, 8003, 264, 945, 1412, 557, 2533, 540, 11639, 616, 713, 4070, 269, 25380, 282, 8841, 2098, 600, 644, 1470, 282, 556, 14025, 282, 1007, 282, 15372, 282, 15168, 12278, 338, 267, 7260, 282, 4886, 13188, 267, 6902, 9752, 543, 4804, 267, 4603, 282, 3163, 4065, 16675, 532, 19094, 7781, 17978, 609, 5776, 29671, 6489, 623, 10062, 19954, 5825, 281, 589, 13437, 8865, 5530, 9349, 5658, 12606, 2421, 282, 6341, 5984, 645, 1002, 339, 778, 776, 320, 282, 26995, 282, 1341, 273, 297, 320, 2378, 541, 631, 269, 774, 8812, 29350, 2929, 8031, 616, 713, 17284, 1169, 2631, 269, 900, 6160, 687, 1118, 9524, 938, 4647, 4238, 269, 901, 12117, 28303, 609, 519, 1283, 5826, 27410, 2688, 1489, 543, 1770, 1851, 2592, 3870, 2406, 14916, 607, 519, 3301, 1558, 600, 17467, 267, 1603, 267, 543, 22906, 540, 19094, 7781, 17978, 263, 966, 3198, 4953, 338, 1040, 476, 275, 264, 2729, 543, 5121, 585, 519, 4647, 1620, 1072, 513, 25349, 4367, 7544, 540, 19094, 7781, 17978, 563, 611, 4765, 27619, 5804, 4647, 3768, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 10749, 1315, 6481, 24919, 16370, 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, 623, 3821, 637, 4302, 11470, 910, 24079, 540, 15541, 1132, 543, 2480, 895, 14843, 692, 5970, 596, 2479, 1224, 513, 1650, 827, 513, 1915, 945, 781, 513, 2370, 3787, 3765, 2151, 31773, 610, 1256, 1524, 2431, 887, 7666, 880, 286, 9320, 789, 1810, 1405, 2141, 1246, 519, 3652, 267, 855, 741, 9035, 666, 581, 13858, 543, 19278, 256, 1403, 713, 4992, 4277, 267, 1287, 1577, 781, 4685, 883, 533, 3821, 637, 4302, 5708, 1927, 2439, 5331, 6972, 998, 513, 14297, 19458, 1282, 519, 5053, 13642, 6520, 630, 1428, 628 ]

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

[ 0, 769, 519, 2038, 2395, 540, 519, 4950, 267, 2043, 5275, 547, 3715, 513, 4527, 2228, 1419, 5828, 547, 1863, 3896, 16475, 5867, 971, 607, 2983, 334, 290, 885, 269, 5487, 684, 3481, 538, 476, 1960, 275, 267, 2983, 334, 290, 885, 4847, 3755, 547, 1711, 741, 1378, 10531, 7270, 1210, 840, 27059, 17074, 543, 2645, 269, 7324, 519, 1585, 6688, 540, 4609, 2139, 267, 24463, 1148, 1336, 513, 22205, 1753, 593, 713, 3760, 269, 901, 1106, 540, 6404, 2923, 267, 6353, 676, 519, 10198, 540, 1507, 4773, 540, 4837, 267, 6149, 267, 610, 824, 2326, 883, 6946, 3270, 543, 6272, 267, 4278, 1882, 593, 2983, 334, 290, 885, 7064, 547, 13730, 5159, 945, 8246, 519, 3028, 547, 13686, 741, 960, 543, 1921, 609, 899, 16490, 12439, 780, 300, 6242, 545, 1148, 593, 2983, 334, 290, 885, 729, 30118, 1738, 540, 519, 798, 32717, 3917, 712, 1345, 630, 14888, 312, 264, 31672, 602, 829, 341, 12184, 519, 2038, 2622, 22453, 5680, 269, 2060, 8766, 2930, 6791, 2838, 267, 15888, 1223, 3362, 1374, 267, 15476, 267, 543, 2671, 741, 5691, 26847, 269, 1452, 3817, 941, 4749, 24224, 609, 7524, 4778, 267, 22488, 12449, 267, 543, 7317, 2934, 1107, 782, 10689, 12201, 540, 519, 24567, 3059, 5251, 269, 6736, 519, 7687, 13684, 676, 519, 3760, 267, 24463, 5159, 7307, 547, 7903, 6302, 543, 3132, 9159, 1568, 602, 6949, 730, 609, 8436, 5001, 780, 763, 13249, 27757, 540, 2983, 334, 290, 885, 538, 476, 1220, 280, 6825, 519, 1439, 540, 606, 5736, 585, 1082, 2228, 2950, 267, 1519, 1346, 6131, 547, 24463, 1148, 269, 1306, 13890, 538, 519, 6679, 1349, 267, 23968, 5622, 256, 262, 338, 3375, 547, 9505, 614, 519, 3028, 2451, 9118, 3755, 26545, 17331, 547, 32006, 720, 741, 13144, 1354, 789, 8709, 1639, 883, 2166, 1499, 10628, 21933, 643, 542, 269, 634, 23589, 26694, 6039, 607, 513, 22880, 12576, 540, 519, 6650, 2006, 775, 7915, 538, 13461, 593, 3791, 18407, 5867, 585, 3860, 4082, 780, 1103, 3210, 547, 713, 2680, 267, 4207, 24463, 5159, 723, 8179, 4244, 2409, 585, 4687, 741, 960, 1247, 20808, 3152, 1852, 936, 741, 3059, 11640, 269, 2290, 2442, 3070, 814, 1044, 519, 10073, 540, 4830, 5816, 3101, 5867, 899, 31964, 610, 18248, 3455, 267, 799, 1450, 585, 811, 29356, 543, 8112, 3379, 547, 2757, 1514, 2923, 5121, 269, 3958, 267, 3875, 13395, 7270, 23695, 4481, 547, 24463, 1148, 723, 7153, 267, 3246, 513, 6131, 2230, 585, 5159, 547, 8858, 741, 15421, 543, 4497, 609, 8284, 7192, 20601, 15606, 780, 5194, 7678, 11543, 20086, 1851, 2413, 24463, 1235, 568, 519, 5610, 540, 21284, 4641, 630, 2752, 264, 2029, 1369, 741, 13144, 269, 1635, 26399, 2168, 11247, 609, 25274, 8476, 2609, 267, 891, 21722, 5159, 616, 20747, 2590, 519, 3515, 1063, 15889, 543, 30608, 23447, 269, 1280, 3236, 267, 30040, 9479, 11368, 883, 19821, 923, 666, 3560, 16335, 3755, 547, 15138, 5691, 24218, 610, 7317, 18862, 267, 7551, 29947, 6278, 543, 9750, 519, 3914, 540, 519, 3312, 4062, 269, 6270, 10124, 20838, 519, 6043, 543, 13916, 540, 24463, 1148, 607, 621, 5170, 547, 11457, 7258, 6639, 7760, 780, 11101, 267, 3872, 5238, 723, 6444, 519, 1871, 540, 6220, 24463, 1148, 883, 741, 21195, 267, 5807, 513, 1007, 5108, 540, 9952, 13492, 15161, 1134, 268, 951, 539, 538, 1312, 2757, 2553, 543, 5969, 12967, 4066, 269, 30793, 2471, 543, 9945, 2066, 519, 8608, 1631, 2709, 6030, 8720, 1585, 3344, 540, 24463, 5137, 267, 8151, 689, 3140, 2796, 543, 2686, 4644, 547, 1570, 5542, 543, 1374, 3741, 269, 4841, 1451, 547, 5660, 519, 3638, 1686, 540, 713, 3504, 1148, 1106, 1247, 3384, 15334, 538, 4207, 3156, 1107, 4180, 922, 4797, 10083, 538, 2221, 781, 10562, 1158, 780, 2414, 2417, 9414, 519, 1761, 1764, 540, 10128, 24463, 1148, 883, 2362, 2069, 5468, 267, 2015, 519, 1739, 19858, 9183, 281, 589, 1895, 540, 1053, 19801, 538, 513, 6404, 2923, 1576, 29050, 1374, 543, 4020, 513, 1804, 8397, 24463, 10380, 5497, 585, 4159, 593, 13464, 269, 22034, 4264, 2326, 21433, 12725, 267, 789, 23939, 4739, 606, 6946, 4806, 10452, 519, 9872, 781, 4295, 2418, 543, 5692, 3948, 269, 3414, 6297, 4058, 543, 11056, 267, 789, 16900, 6451, 8121, 3334, 602, 3986, 21951, 5872, 543, 8223, 780, 26796, 12032, 267, 519, 1788, 5713, 2789, 5301, 281, 898, 3083, 5809, 519, 2168, 1604, 267, 22851, 1780, 619, 2421, 998, 5499, 9423, 267, 543, 2488, 1053, 609, 3407, 3946, 6823, 1995, 538, 12497, 1436, 267, 21753, 267, 543, 13319, 269, 5015, 267, 621, 6763, 607, 513, 15266, 547, 519, 1379, 540, 3444, 16162, 9918, 5698, 267, 11744, 875, 3309, 4610, 971, 607, 5386, 6575, 267, 2780, 2257, 267, 2825, 6940, 267, 543, 6725, 666, 27721, 547, 1711, 1945, 5963, 9058, 780, 1103, 3932, 267, 519, 4473, 543, 2887, 540, 2983, 334, 290, 885, 4564, 8806, 835, 3184, 538, 519, 588, 528, 1221, 1686, 540, 24463, 1148, 781, 3460, 998, 519, 3059, 2085, 269, 1306, 7152, 676, 5571, 7835, 538, 2029, 267, 27380, 267, 543, 7499, 2259, 267, 713, 11684, 5420, 3788, 16119, 31737, 1369, 4207, 2528, 1107, 16111, 5368, 28124, 3294, 547, 3251, 4143, 543, 2502, 269, 6787, 6964, 607, 513, 1797, 540, 1582, 22325, 267, 2146, 2679, 267, 610, 14292, 1907, 267, 24463, 1148, 4927, 17216, 6414, 607, 513, 4105, 5057, 540, 938, 7104, 3860, 13795, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 29423, 1470, 19405, 676, 22819, 3240, 3223, 603, 454, 1103, 4989, 540, 476, 1220, 280, 267, 23968, 5622, 256, 9505, 1524, 2983, 334, 290, 885, 269, 4698, 1227, 16074, 267, 519, 2899, 11537, 3028, 1185, 922, 1129, 1575, 2985, 8719, 609, 513, 22394, 5048, 3045, 23395, 922, 19479, 563, 2171, 723, 4956, 547, 19944, 826, 519, 1184, 540, 3850, 1007, 5561, 547, 1129, 909, 585, 2983, 334, 290, 885, 6589, 607, 649, 1445, 593, 4543, 938, 5561, 2263, 543, 1628, 1007, 3347, 2228, 538, 824, 2081, 269, 1284, 786, 581, 14656, 2983, 334, 290, 885, 2663, 713, 1032, 563, 2750, 12371, 2983, 334, 290, 885, 6589, 723, 711, 4957, 269, 1411, 666, 3136, 547, 2972, 707, 1357, 3135, 543, 2983, 334, 290, 885, 2533, 2394, 2663, 713, 1032, 269, 1411, 1810, 1406, 991, 547, 1689, 513, 3364, 1318, 1631, 2443, 649, 1175, 4941, 596, 547, 1577, 596, 917, 827, 519, 19479, 607, 4166, 607, 2009, 269, 1284, 3580, 1683, 811, 3877, 827, 14656, 2983, 334, 290, 885, 543, 875, 547, 4688, 707, 3135, 1239, 713, 4832, 267, 543, 649, 786, 9337, 519, 948, 4099, 609, 811, 3877, 693, 602, 942, 563, 1103, 519, 4947, 3275, 267, 519, 2754, 1131, 2709, 2370, 811, 1469, 982, 602, 269, 10738, 513, 1032, 267, 3593, 1753, 335, 1137, 3710, 609, 2983, 334, 290, 885, 1131, 1025, 1074, 856, 540, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 595, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 24908, 9012, 1315, 631, 6242, 545, 3203, 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, 6092, 5149, 281, 10067, 27011, 13898, 538, 25307, 13221, 281, 1323, 16709, 998, 519, 29526, 540, 27302, 4469, 4711, 692, 296, 269, 4985, 692, 303, 2001, 518, 17514, 723, 1044, 606, 7533, 851, 540, 25307, 2528, 543, 14418, 2853, 269, 1452, 10477, 17514, 267, 24224, 609, 6946, 6698, 543, 10723, 5931, 267, 5705, 569, 954, 933, 1511, 7096, 24866, 883, 741, 10347, 5958, 269, 7324, 891, 24866, 6013, 519, 4295, 540, 10067, 27011, 13221, 910, 519, 2619, 540, 519, 26636, 20130, 3430, 9366, 267, 519, 17519, 1373, 945, 11394, 21481, 711, 1152, 585, 2933, 855, 849, 585, 519, 4324, 540, 782, 2366, 1304, 7919, 269, 901, 1576, 1770, 12538, 2620, 883, 519, 3638, 13795, 540, 10067, 27011, 6138, 607, 22993, 538, 519, 13513, 540, 11755, 17514, 780, 2862, 269, 25043, 540, 10067, 27011, 13221, 3097, 288, 269, 11137, 540, 10067, 27011, 692, 272, 269, 18882, 543, 1646, 281, 32274, 922, 5072, 1394, 547, 3127, 1282, 519, 1101, 2540, 9460, 267, 10067, 27011, 13221, 3262, 2429, 5607, 543, 2968, 519, 11342, 1106, 540, 13221, 538, 17230, 267, 3624, 267, 3567, 267, 9705, 267, 543, 10476, 269, 4706, 10752, 1445, 593, 519, 2856, 540, 519, 26636, 20130, 3430, 9366, 267, 519, 4998, 540, 17519, 7326, 14971, 2509, 2407, 21481, 563, 273, 269, 6206, 2035, 281, 2506, 696, 1465, 630, 4537, 684, 344, 1092, 1070, 3955, 323, 8817, 7880, 1588, 630, 7468, 520, 640, 553, 600, 583, 335, 3385, 1070, 543, 519, 14520, 17828, 687, 630, 13640, 600, 26320, 264, 4196, 607, 4909, 22225, 540, 10067, 27011, 14985, 269, 1358, 2099, 519, 10700, 4641, 540, 9259, 267, 519, 1184, 540, 1757, 1275, 267, 543, 519, 7907, 16916, 676, 9439, 20678, 585, 21481, 6606, 563, 274, 269, 3690, 322, 2056, 6302, 281, 769, 4334, 547, 634, 9545, 24460, 5389, 10771, 1367, 20778, 267, 10067, 27011, 7512, 8471, 19802, 10489, 2056, 3392, 4115, 3515, 269, 898, 29102, 602, 1169, 1373, 19299, 519, 7915, 1761, 585, 31135, 267, 1634, 607, 17700, 7186, 630, 307, 987, 698, 520, 698, 16808, 3873, 6393, 289, 269, 5940, 3307, 633, 17972, 540, 10067, 27011, 692, 272, 269, 634, 10206, 540, 26636, 20130, 3430, 9366, 26758, 281, 9521, 1488, 1002, 338, 1222, 267, 799, 18575, 2123, 19802, 689, 28023, 6228, 630, 306, 4461, 4673, 1070, 519, 26636, 20130, 3430, 9366, 642, 3298, 547, 27185, 821, 1010, 1378, 715, 597, 341, 3570, 2394, 646, 5849, 519, 7104, 21481, 540, 782, 2366, 1304, 7919, 563, 273, 269, 31853, 995, 31283, 630, 10000, 11535, 2567, 20876, 519, 4763, 1851, 7919, 267, 10067, 27011, 11414, 1585, 5578, 995, 2409, 3358, 547, 2043, 262, 2189, 19206, 267, 4690, 267, 543, 13141, 5209, 269, 6270, 24099, 8112, 11942, 513, 811, 8537, 1604, 20009, 547, 1565, 543, 2259, 563, 274, 269, 8061, 10899, 13756, 281, 32672, 5270, 4724, 18477, 13938, 20130, 3430, 11663, 899, 589, 1998, 758, 2572, 341, 4673, 267, 2494, 329, 639, 686, 267, 543, 6341, 656, 629, 17495, 571, 1264, 906, 9066, 543, 5683, 2932, 1369, 10067, 27011, 3506, 269, 4980, 22899, 3347, 609, 891, 5515, 5713, 607, 27857, 585, 3384, 5813, 543, 16734, 14609, 7315, 1155, 780, 7656, 269, 1133, 30584, 532, 519, 700, 16558, 540, 27302, 4469, 4711, 454, 288, 269, 8466, 12745, 692, 272, 269, 9147, 8129, 281, 27302, 17514, 4266, 1394, 5215, 540, 1296, 267, 23608, 689, 12844, 695, 16120, 2065, 5389, 543, 2038, 3029, 540, 13221, 538, 17230, 267, 3624, 267, 30111, 267, 543, 3127, 563, 273, 269, 12472, 936, 942, 281, 1306, 13221, 7960, 267, 865, 1705, 519, 1374, 543, 3483, 540, 11755, 17514, 269, 21231, 1031, 585, 4027, 1996, 5739, 14326, 267, 789, 2663, 9927, 883, 6472, 8876, 8321, 1049, 19001, 585, 4708, 267, 13884, 267, 543, 8788, 585, 782, 780, 289, 269, 10439, 15689, 543, 29526, 692, 272, 269, 27413, 543, 19648, 281, 3962, 2681, 14687, 547, 513, 1808, 4287, 267, 3693, 267, 543, 2460, 540, 9637, 267, 10452, 519, 25872, 540, 782, 9259, 269, 9791, 4564, 6607, 4882, 10628, 543, 12808, 9637, 282, 3043, 6763, 585, 2011, 11320, 785, 543, 9355, 540, 2247, 282, 2699, 24151, 3595, 270, 17742, 543, 6612, 282, 3039, 19752, 1216, 14672, 4669, 4269, 543, 1226, 534, 14383, 282, 5835, 6920, 3618, 23995, 1464, 543, 5806, 3215, 4656, 563, 273, 269, 29042, 31157, 543, 31615, 6652, 281, 7179, 539, 593, 519, 17514, 616, 513, 22273, 5534, 18627, 267, 521, 583, 6652, 267, 543, 16051, 6652, 971, 607, 15345, 2494, 328, 22087, 1889, 9966, 267, 1045, 3183, 519, 4527, 540, 1649, 5271, 565, 550, 19367, 543, 24705, 2590, 25736, 2390, 1346, 6534, 547, 519, 12798, 8876, 873, 563, 274, 269, 27748, 4919, 22569, 2044, 281, 1546, 885, 267, 6698, 267, 543, 2831, 13269, 593, 11755, 17514, 18220, 1585, 3344, 540, 24084, 2989, 2247, 543, 4075, 6681, 10305, 17709, 540, 900, 1637, 267, 11121, 13588, 547, 4497, 538, 27357, 3527, 543, 14719, 894, 2853, 780, 290, 269, 20154, 19043, 692, 272, 269, 631, 1120, 532, 2890, 6523, 332 ]

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

[ 1280, 1411, 1677, 1684, 5685, 880, 519, 4976, 538, 2516, 269, 5457, 519, 2994, 543, 3268, 585, 14335, 513, 1863, 23073, 6516, 692, 5415, 13565, 0, 258, 1215, 547, 11753, 4399, 842, 3709, 8703, 7346, 2765, 3189, 7562, 476, 3867, 274, 4153, 9064, 476, 7346, 6523, 476, 3867, 277, 4153, 9064, 7684, 323, 24592, 476, 4151, 2496, 1692, 547, 11753, 4399, 842, 3709, 8703, 7346, 2765, 3189, 7562, 476, 3867, 274, 4153, 9064, 476, 7346, 6523, 476, 3867, 277, 4153, 9064, 7684, 323, 24592, 476, 4151, 286, 901, 568, 2186, 540, 6780, 25467, 594, 723, 1100, 2856, 1141, 547, 1376, 780, 7042, 1012, 476, 274, 12226, 692, 2791, 666, 27682, 621, 607, 6695, 842, 315, 11927, 317, 274, 24592, 1422, 5913, 317, 274, 24592, 546, 24592, 269, 2330, 8074, 602, 1269, 323, 7268, 5913, 24592, 21174, 11927, 24592, 315, 5913, 24592, 546, 24592, 259, 543, 4399, 11927, 317, 273, 24592, 7807, 5913, 317, 273, 24592, 268, 272, 8961, 649, 723, 6695, 842, 315, 11927, 317, 274, 24592, 1422, 5913, 317, 274, 24592, 546, 24592, 7807, 842, 1422, 11927, 317, 273, 24592, 1422, 5913, 317, 273, 24592, 546, 7268, 5913, 24592, 264, 31386, 842, 22570, 5913, 317, 273, 24592, 268, 272, 264, 1422, 5913, 317, 273, 24592, 546, 7268, 5913, 24592, 1040, 2330, 3767, 952, 649, 1577, 1269, 339, 7807, 5913, 24592, 8961, 1287, 2807, 296, 4734, 519, 6967, 2694, 547, 596, 780, 8894, 12552, 267, 296, 3893, 621, 256, 1107, 1109, 288, 557, 5689, 1030, 32337, 3967, 476, 1839, 1412, 1724, 693, 476, 1556, 281, 3393, 692, 7775, 1284, 666, 849, 12433, 621, 4635, 17832, 269, 15240, 3191, 692, 7445, 6234, 1422, 842, 21702, 3189, 7562, 317, 274, 1422, 9064, 7346, 6523, 317, 277, 1422, 9064, 348, 323, 24592, 815, 1422, 842, 21702, 346, 272, 10559, 6523, 317, 273, 1422, 9064, 7346, 6523, 317, 277, 1422, 9064, 348, 1422, 9392, 1422, 7562, 1422, 9064, 546, 24592, 6911, 4131, 4399, 6523, 1422, 9064, 815, 512, 259, 543, 4399, 7562, 1422, 9064, 546, 24592, 815, 910, 19049, 259, 1924, 6715, 1537, 568, 692, 7445, 6234, 1422, 842, 21702, 346, 339, 317, 273, 268, 272, 2410, 339, 317, 277, 348, 19049, 815, 1422, 842, 512, 13064, 275, 348, 19049, 10559, 842, 512, 13064, 277, 348, 19049, 6911, 7445, 6234, 815, 28363, 2765, 346, 272, 2410, 274, 348, 339, 13064, 274, 23180, 2765, 346, 272, 2410, 276, 348, 339, 13064, 276, 23180, 13992, 346, 290, 10592, 7445, 6234, 815, 28363, 2765, 346, 272, 2410, 274, 32710, 6523, 512, 3738, 13064, 274, 23180, 2765, 346, 272, 2410, 276, 32710, 6523, 512, 264, 476, 13064, 276, 23180, 13992, 346, 290, 10592, 8894, 3674, 972, 513, 2601, 596, 723, 1031, 4399, 13992, 595, 259, 547, 20301, 519, 3586, 286, 898, 4667, 2864, 15116, 547, 803, 269, 1107, 1109, 12528, 27843, 5881, 3967, 476, 1839, 1412, 1724, 693, 476, 2420, 281, 2537, 692, 3080, 1259, 568, 547, 2057, 524, 13246, 727, 9273, 676, 1210, 521, 585, 20534, 543, 524, 585, 25482, 269, 590, 5902, 519, 521, 317, 274, 538, 519, 19362, 883, 521, 265, 338, 317, 273, 267, 1210, 521, 317, 273, 815, 476, 272, 910, 524, 317, 273, 543, 8380, 3388, 538, 1747, 596, 723, 692, 338, 16732, 272, 2275, 317, 273, 8358, 322, 317, 277, 269, 4595, 519, 10693, 2917, 521, 786, 4196, 607, 519, 2942, 11186, 540, 524, 267, 519, 2076, 8681, 6971, 23182, 883, 630, 272, 2275, 317, 273, 12684, 8987, 26501, 8358, 322, 317, 277, 269, 19147, 524, 317, 277, 883, 519, 19362, 543, 596, 723, 524, 317, 8987, 277, 9984, 322, 317, 8987, 275, 264, 799, 26779, 23182, 1210, 519, 10026, 1379, 4341, 267, 519, 1360, 1101, 5610, 4341, 596, 4121, 256, 2986, 1576, 267, 1810, 1405, 7340, 547, 1394, 10177, 1188, 267, 13868, 519, 524, 781, 609, 5430, 3890, 543, 596, 616, 2944, 269, 3143, 30255, 3813, 1218, 543, 8126, 757, 543, 6157, 1100, 4645, 2655, 4801, 780, 268, 0, 293, 17313, 910, 25506, 543, 21414, 7689, 476, 272, 769, 2979, 267, 513, 6935, 568, 1175, 513, 1305, 540, 2715, 7684, 616, 519, 3090, 585, 834, 3553, 257, 9577, 281, 1109, 589, 1599, 568, 513, 1305, 540, 10288, 8424, 538, 799, 1142, 3693, 540, 519, 6389, 814, 1152, 21450, 3693, 2404, 609, 621, 538, 519, 2039, 269, 769, 6128, 267, 1018, 30193, 513, 1599, 689, 513, 6935, 568, 602, 1142, 1535, 1871, 538, 513, 1599, 814, 835, 543, 1152, 835, 586, 17032, 780, 19370, 281, 1741, 476, 1109, 288, 1599, 568, 6719, 676, 535, 630, 343, 264, 815, 476, 273, 343, 1341, 476, 736, 269, 8340, 535, 630, 1015, 6393, 11405, 476, 6892, 1677, 1265, 535, 630, 1015, 1070, 5372, 519, 1535, 17032, 609, 476, 1015, 780, 3721, 476, 272, 1384, 11405, 476, 6892, 535, 630, 1015, 264, 815, 476, 273, 263, 1015, 264, 1341, 476, 736, 815, 476, 736, 1341, 476, 736, 815, 476, 2412, 780, 3721, 476, 273, 1384, 11405, 476, 6892, 634, 2626, 281, 476, 2412, 568, 1572, 519, 3239, 540, 476, 1015, 896, 1109, 325, 630, 343, 6393, 3721, 476, 274, 1384, 28415, 692, 2521, 1079, 2259, 2042, 1384, 24169, 519, 1739, 1384, 589, 269, 9717, 535, 3287, 264, 815, 476, 273, 343, 273, 910, 476, 278, 343, 267, 1265, 1109, 325, 263, 275, 1040, 645, 269, 9717, 535, 3287, 264, 815, 3980, 352, 273, 343, 273, 910, 476, 1321, 343, 4501, 352, 267, 1265, 1109, 325, 263, 279, 1040 ]

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

[ 13687, 669, 32535, 269, 20363, 568, 10731, 538, 1325, 2532, 534, 7297, 267, 543, 713, 27598, 17339, 568, 513, 1390, 1259, 547, 946, 909, 1022, 31629, 3165, 269, 1677, 1118, 13687, 669, 32535, 267, 596, 786, 991, 546, 5367, 12277, 267, 22872, 19637, 267, 1295, 1027, 13342, 267, 7423, 267, 7912, 267, 5144, 267, 6070, 267, 14723, 267, 15922, 3762, 267, 543, 540, 1576, 267, 1166, 8898, 13687, 269, 15439, 1094, 583, 2946, 519, 5388, 538, 7423, 2394, 789, 616, 13035, 267, 1287, 13489, 538, 519, 7912, 543, 3434, 585, 1776, 8792, 269, 20405, 569, 31953, 538, 519, 5144, 543, 1039, 519, 4005, 902, 267, 8744, 3388, 547, 513, 31652, 269, 7053, 267, 16784, 538, 519, 13687, 543, 3002, 998, 269, 31160, 3905, 609, 12933, 344, 3694, 585, 513, 2295, 344, 7594, 780, 5194, 11599, 1325, 2532, 534, 1426, 568, 4779, 846, 5779, 269, 631, 5366, 616, 5458, 2831, 602, 887, 600, 519, 1533, 781, 10053, 7733, 267, 3246, 513, 10709, 543, 29316, 2707, 540, 3940, 585, 1346, 18822, 2614, 547, 9126, 835, 1282, 10122, 4005, 269, 1403, 596, 2479, 1205, 519, 4960, 547, 2119, 4779, 846, 5779, 267, 1810, 1405, 1780, 621, 909, 256, 898, 16919, 2147, 547, 14132, 855, 568, 1454, 8902, 543, 811, 10357, 7888, 269, 2290, 2653, 11600, 547, 1118, 609, 4779, 846, 5779, 568, 4779, 846, 588, 549, 1146, 4752, 269, 2353, 596, 991, 568, 30000, 4779, 846, 2848, 6545, 267, 17228, 267, 22323, 267, 13342, 267, 11877, 8645, 267, 4144, 329, 517, 28401, 267, 1937, 806, 1562, 10921, 14036, 267, 6070, 267, 14723, 267, 543, 4212, 30653, 269, 13648, 519, 30653, 14384, 1247, 536, 20621, 519, 4779, 846, 543, 5388, 538, 513, 3443, 269, 4495, 536, 27547, 267, 1039, 519, 6967, 5820, 543, 31652, 2394, 12699, 998, 269, 32449, 936, 519, 30653, 543, 2972, 2439, 7661, 267, 649, 666, 1405, 7340, 827, 15708, 538, 1325, 2532, 534, 19069, 11951, 269, 7137, 1845, 1332, 782, 936, 519, 1533, 267, 689, 30207, 543, 678, 5684, 11241, 547, 6531, 11241, 543, 19388, 517, 11241, 269, 1358, 616, 1031, 538, 533, 625, 267, 795, 749, 625, 267, 27156, 267, 543, 1256, 10425, 899, 10874, 787, 5347, 625, 543, 21097, 269, 589, 2241, 2943, 8949, 18397, 547, 1118, 609, 1325, 2532, 534, 15708, 568, 513, 6404, 10874, 787, 26546, 269, 3807, 3575, 1927, 707, 5172, 4999, 540, 15708, 267, 4006, 267, 8970, 560, 1105, 267, 543, 11993, 10433, 538, 513, 11256, 8670, 269, 3973, 20057, 548, 513, 547, 6137, 1500, 689, 28113, 267, 7912, 267, 6960, 4006, 267, 24036, 267, 2428, 332, 1122, 267, 543, 4411, 7423, 936, 519, 4829, 7848, 269, 645, 820, 2394, 11344, 6960, 543, 11164, 29087, 267, 543, 4196, 3636, 609, 29877, 4672, 8645, 610, 627, 5792, 8645, 269, 962, 636, 2439, 2026, 596, 666, 1294, 267, 1325, 2532, 534, 19069, 11951, 568, 782, 827, 8508, 519, 2067, 5898, 543, 2200, 540, 519, 3148, 269, 6787, 596, 2811, 3843, 13687, 669, 32535, 267, 4779, 846, 588, 549, 1146, 4752, 267, 610, 6404, 10874, 787, 26546, 267, 1142, 8670, 20502, 519, 2189, 10366, 543, 5389, 540, 14522, 269, 1924, 1946, 711, 2285, 873, 513, 2119, 286, 5808, 6487, 267, 596, 1522, 1175, 3605, 707, 1007, 5172, 7594, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21026, 4095, 1426, 31204, 281, 3371, 568, 513, 4015, 540, 519, 1283, 476, 1428, 5045, 21944, 10346, 267, 1519, 9269, 1750, 1777, 514, 611, 267, 11792, 8403, 546, 6242, 267, 803, 523, 9597, 2590, 752, 6390, 1225, 787, 267, 9269, 12403, 609, 813, 4461, 267, 5754, 1457, 629, 14508, 2840, 344, 8643, 267, 543, 1082, 811, 269, 3962, 8670, 2882, 513, 1592, 540, 1898, 5820, 543, 5528, 593, 875, 547, 5965, 621, 454, 763, 1655, 6237, 5045, 4095, 8286, 616, 7396, 2630, 585, 596, 547, 2119, 693, 1753, 563, 21026, 4095, 1426, 7454, 31204, 2433, 1703, 779, 1100, 27102, 602, 3162, 4095, 1426, 568, 513, 21649, 585, 519, 12823, 267, 1018, 609, 519, 3280, 540, 838, 32211, 28401, 5452, 267, 519, 30993, 540, 10398, 532, 3620, 582, 521, 3711, 541, 11273, 609, 4195, 23984, 541, 785, 267, 543, 519, 5905, 540, 13692, 2000, 697, 267, 10347, 7329, 5894, 269, 932, 583, 2284, 543, 13121, 553, 616, 855, 513, 6492, 540, 3162, 3127, 779, 7524, 267, 9867, 267, 543, 19039, 569, 4241, 8819, 1258, 5669, 7045, 269, 634, 5045, 540, 3127, 568, 1360, 4744, 25630, 689, 519, 5087, 1813, 547, 922, 2947, 2829, 267, 1079, 9769, 11182, 267, 22586, 29415, 267, 5757, 23898, 267, 543, 9381, 23617, 269, 898, 4422, 1510, 6031, 602, 519, 32345, 540, 29242, 267, 20474, 24385, 340, 267, 31016, 31540, 267, 20052, 836, 3570, 267, 543, 1656, 31137, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2704, 2532, 534, 8187, 15227, 28690, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 1977, 1315, 3345, 13523, 2276, 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, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 2811, 1565, 827, 16692, 296, 17874, 538, 6530, 1362, 269, 2334, 4992, 4277, 256, 2052, 596, 2995, 803, 1018, 621, 1797, 2496, 7692, 281, 17610, 267, 7705, 256, 16692, 296, 6763, 585, 16844, 267, 24054, 267, 543, 29621, 269, 898, 781, 782, 827, 1818, 2386, 3025, 7959, 12595, 543, 15197, 267, 1100, 2339, 741, 3604, 269, 1924, 267, 16692, 296, 29801, 948, 3549, 1711, 4023, 4507, 543, 2853, 585, 1004, 540, 1114, 14797, 267, 25469, 267, 6502, 267, 5759, 267, 543, 811, 780, 8334, 281, 7937, 267, 594, 1294, 269, 6145, 950, 649, 4121, 827, 1210, 2953, 21770, 585, 938, 2828, 267, 1318, 286, 4635, 834, 515, 257, 610, 834, 9917, 257, 4470, 593, 1018, 789, 4782, 2306, 873, 1745, 2938, 543, 7608, 780, 7692, 281, 22549, 256, 1656, 3006, 267, 972, 1522, 581, 10539, 1317, 2576, 3096, 834, 16269, 257, 3079, 540, 834, 515, 257, 610, 834, 9917, 2437, 899, 707, 3659, 13177, 269, 1284, 991, 547, 2463, 741, 3903, 543, 946, 834, 16269, 257, 547, 1118, 873, 6899, 780, 8334, 281, 23010, 267, 594, 3314, 1631, 269, 1924, 267, 952, 594, 1174, 7157, 267, 16692, 296, 29801, 1131, 2303, 2081, 585, 721, 547, 1521, 1866, 9425, 543, 2057, 4929, 2800, 610, 9636, 267, 1256, 1510, 16734, 621, 780, 7692, 281, 8786, 267, 4010, 269, 1358, 1223, 2285, 14245, 267, 11925, 267, 610, 835, 6823, 14633, 18006, 547, 4001, 1004, 827, 16692, 296, 1655, 2853, 269, 1280, 1383, 267, 789, 1522, 2491, 875, 1978, 1913, 610, 3527, 666, 10413, 2576, 781, 4606, 610, 3970, 3255, 585, 1808, 2516, 780, 8334, 281, 670, 7825, 1862, 4754, 596, 1589, 540, 1022, 3510, 1141, 713, 10039, 2496, 7692, 281, 4270, 267, 4952, 596, 1616, 547, 10891, 513, 1153, 2680, 855, 1152, 16436, 707, 14191, 2828, 267, 6028, 856, 930, 3214, 945, 5749, 1405, 607, 2442, 269, 901, 1223, 1291, 547, 1346, 2451, 856, 4743, 16934, 267, 799, 3884, 1405, 4023, 269, 589, 16692, 296, 22639, 1522, 1900, 538, 543, 18973, 1519, 3025, 610, 4466, 513, 1732, 1259, 547, 2824, 28752, 865, 1100, 835, 7959, 2451, 856, 780, 8334, 281, 20944, 621, 269, 3767, 594, 1205, 621, 256, 1635, 6236, 3309, 5380, 543, 8156, 3025, 8449, 267, 649, 1628, 6793, 2950, 269, 8729, 585, 7713, 267, 7585, 2439, 7692, 281, 3143, 1966, 267, 7705, 256, 1403, 596, 2479, 723, 811, 2055, 827, 16692, 296, 610, 824, 3584, 267, 1175, 1577, 803, 917, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3891, 6785, 689, 513, 1360, 1762, 2085, 602, 12429, 3125, 729, 585, 1864, 269, 1809, 1287, 519, 4641, 540, 1373, 14447, 2322, 513, 2481, 704, 593, 519, 20772, 2507, 2863, 559, 621, 4769, 1406, 269, 8191, 543, 10583, 14447, 19033, 267, 24697, 2598, 1088, 1817, 560, 729, 5462, 547, 581, 513, 667, 611, 543, 1500, 621, 4755, 269, 3245, 10073, 3781, 2742, 637, 547, 6596, 15970, 19178, 267, 19378, 8843, 1010, 1272, 796, 743, 657, 9643, 1650, 540, 1373, 513, 14447, 19033, 563, 17556, 557, 2598, 1088, 1817, 560, 24870, 538, 2123, 1299, 3318, 5718, 1646, 543, 17874, 585, 4763, 267, 9698, 267, 543, 10014, 630, 14701, 296, 264, 543, 568, 519, 2278, 540, 519, 17728, 10318, 1441, 1677, 2142, 667, 611, 281, 589, 17714, 540, 18321, 267, 26504, 267, 543, 11146, 269, 6969, 15713, 1010, 6109, 267, 19378, 5249, 585, 2637, 550, 3663, 267, 513, 1979, 1774, 577, 2754, 267, 543, 568, 513, 25982, 3782, 2344, 518, 563, 25387, 267, 646, 5713, 593, 519, 5842, 631, 622, 334, 6019, 11806, 8189, 543, 568, 513, 10584, 585, 519, 5842, 12770, 11806, 29150, 779, 13163, 269, 19378, 568, 519, 4651, 540, 1079, 8748, 1453, 945, 616, 519, 4099, 540, 1010, 1158, 563, 21010, 2060, 19378, 454, 2791, 666, 849, 6432, 547, 519, 15264, 593, 2507, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 1751, 267, 24054, 267, 543, 29621, 630, 14701, 296, 264, 31173, 257, 607, 851, 540, 834, 25787, 1315, 31173, 10017, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269 ]

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

[ 7286, 267, 543, 5663, 3156, 563, 289, 7728, 24535, 630, 290, 6369, 312, 264, 24321, 17955, 454, 289, 550, 821, 31294, 568, 513, 10036, 2861, 19149, 656, 2919, 609, 519, 6351, 540, 18761, 31354, 10036, 269, 901, 31294, 1826, 568, 4122, 1572, 1875, 2173, 3881, 19149, 656, 1317, 621, 814, 1100, 1634, 21177, 1448, 269, 4706, 9030, 3601, 616, 2837, 1689, 4187, 267, 1390, 5957, 543, 15237, 4027, 267, 11108, 1216, 10892, 267, 1434, 7344, 610, 19852, 6617, 267, 543, 20498, 14398, 4369, 269, 28564, 821, 31294, 568, 4998, 585, 3810, 24683, 21505, 3156, 543, 621, 779, 3335, 1031, 1369, 519, 5374, 267, 5663, 267, 1646, 267, 5599, 267, 543, 17375, 2872, 563, 28139, 675, 320, 31294, 814, 1831, 1360, 2442, 1317, 540, 922, 8748, 7592, 267, 7222, 547, 5140, 1216, 4187, 267, 1390, 16617, 6617, 267, 15309, 543, 14809, 6604, 267, 15006, 267, 17545, 267, 1434, 7344, 6617, 267, 607, 1134, 607, 1164, 27529, 2773, 269, 5221, 540, 891, 2934, 267, 4874, 675, 320, 31294, 568, 5227, 585, 1279, 3734, 3156, 543, 1031, 2429, 3875, 6080, 269, 898, 568, 2808, 4105, 585, 519, 1697, 19149, 566, 540, 4496, 2371, 543, 3167, 16546, 563, 306, 18754, 31294, 568, 19775, 676, 11544, 14614, 12853, 609, 21187, 543, 3490, 11041, 269, 6270, 4999, 2488, 7123, 19852, 6617, 267, 1164, 21177, 1377, 267, 8748, 15309, 4027, 267, 543, 1434, 19149, 566, 267, 2705, 814, 4057, 1216, 4187, 543, 16617, 6617, 269, 1306, 513, 12343, 540, 922, 19363, 267, 9770, 31294, 568, 1631, 7361, 1031, 585, 519, 19149, 566, 540, 12902, 3346, 26971, 269, 5047, 267, 621, 568, 4122, 5916, 609, 824, 6067, 1162, 538, 606, 4674, 547, 3132, 31294, 540, 2362, 2298, 543, 1871, 563, 5472, 891, 5722, 2010, 540, 31294, 949, 581, 5219, 547, 607, 6687, 17123, 630, 6573, 264, 6067, 1162, 267, 3665, 2604, 630, 7968, 264, 6067, 1162, 267, 7286, 6067, 1162, 267, 5230, 1673, 14280, 6067, 1162, 267, 20614, 6067, 1162, 267, 16669, 6067, 1162, 267, 1870, 6067, 1162, 267, 543, 865, 8521, 267, 13461, 593, 519, 10058, 3601, 540, 3490, 11041, 267, 21187, 267, 543, 5394, 22211, 1031, 538, 519, 1184, 540, 5478, 563, 2252, 596, 17329, 713, 2110, 2376, 543, 596, 1131, 899, 547, 3489, 811, 9623, 609, 14621, 547, 476, 6893, 486, 32453, 6893, 352, 6893, 504, 6893, 369, 6893, 501, 6893, 503, 6893, 482, 6893, 356, 32453, 6893, 350, 6893, 352, 16055, 487, 6893, 511, 6893, 503, 6893, 359, 6893, 373, 6893, 485, 476, 6893, 351, 6893, 369, 16055, 486, 6893, 360, 16055, 487, 6893, 511, 16055, 482, 6893, 360, 6893, 503, 6893, 498, 6893, 369, 24963, 2628, 513, 3643, 547, 519, 2546, 269, 0, 307, 984, 8829, 723, 1044, 513, 2629, 851, 540, 812, 2486, 585, 1082, 1296, 267, 855, 513, 4389, 29627, 1758, 1242, 1249, 568, 602, 7111, 4658, 538, 13314, 723, 6836, 13189, 6236, 602, 519, 2025, 523, 2395, 269, 5065, 1159, 10280, 946, 513, 2189, 5389, 602, 20546, 525, 3274, 1373, 1175, 10269, 2472, 269, 10738, 713, 5816, 3135, 267, 649, 786, 3605, 519, 3140, 2250, 540, 7111, 13189, 543, 4010, 1018, 2306, 873, 12600, 563, 8794, 13189, 538, 7849, 1977, 2528, 568, 11911, 547, 5289, 543, 16392, 3206, 269, 595, 7837, 10577, 568, 9833, 607, 513, 10723, 10786, 543, 3730, 585, 2472, 267, 19001, 267, 543, 6051, 9821, 269, 769, 519, 476, 1626, 628, 2540, 267, 950, 3864, 13896, 4951, 909, 538, 3013, 267, 789, 4362, 519, 946, 540, 16906, 1851, 7849, 4658, 538, 13314, 269, 1358, 3323, 14237, 16906, 593, 519, 24914, 543, 267, 16172, 1310, 267, 3323, 856, 1104, 532, 873, 883, 824, 2694, 1472, 519, 1158, 563, 30943, 13189, 2356, 616, 711, 1175, 899, 3339, 30926, 950, 621, 2501, 547, 6721, 269, 10871, 16906, 16906, 568, 1175, 3812, 593, 7087, 1977, 3959, 267, 799, 666, 581, 711, 1641, 547, 5313, 1852, 267, 4352, 3339, 10269, 616, 14475, 896, 5313, 7939, 269, 7111, 2043, 8263, 602, 519, 14099, 568, 10723, 267, 865, 602, 789, 2327, 602, 519, 2504, 1935, 568, 10357, 7874, 563, 26222, 16906, 568, 711, 1152, 827, 7296, 621, 568, 2965, 827, 2245, 269, 898, 666, 581, 4712, 609, 2067, 11922, 543, 2067, 2609, 267, 602, 2306, 621, 3039, 543, 8902, 269, 7111, 11570, 616, 3222, 540, 519, 2942, 1764, 13189, 1522, 723, 593, 1072, 543, 519, 10450, 267, 865, 602, 789, 6529, 547, 10357, 7888, 3157, 547, 1020, 7296, 13189, 269, 7111, 13189, 616, 1863, 540, 5279, 689, 707, 13818, 6878, 799, 666, 581, 4092, 538, 2757, 10269, 563, 30943, 524, 580, 3549, 616, 2027, 538, 2511, 543, 6492, 269, 589, 2603, 540, 9755, 946, 5929, 6805, 11247, 593, 1010, 610, 1200, 24386, 269, 4256, 3631, 723, 2620, 3347, 585, 519, 2245, 540, 707, 7087, 1977, 2043, 267, 543, 1142, 543, 1169, 4062, 540, 1148, 960, 2982, 513, 2239, 269, 634, 16919, 540, 7111, 13189, 786, 4268, 689, 6671, 524, 12127, 269, 7087, 2043, 8415, 513, 11100, 540, 1585, 11922, 267, 1519, 524, 25729, 3762, 267, 547, 1459, 519, 13189, 513, 10058, 9329, 563, 30943, 13189, 723, 513, 10731, 5389, 799, 6087, 873, 10058, 543, 3982, 689, 3044, 524, 12127, 269, 1358, 616, 711, 1175, 5370, 602, 11886, 606, 21341, 267, 2705, 789, 616, 513, 1587, 540, 2245, 602, 814, 1044, 11843, 1524, 585, 1082, 1296, 269, 7111, 13189, 616, 10058, 538, 2511, 267, 6492, 267, 543, 5663, 1935, 269, 10871, 1977, 4961, 4324, 2688, 543, 2543, 585, 707, 4259, 267, 7132, 789, 4228, 713, 1184, 1369, 741, 16906, 5137, 269, 898, 568, 1360, 1271, 5431, 543, 1871, 519, 1686, 543, 2528, 3297, 7111, 13189, 267, 1317, 789, 616, 606, 3312, 3296, 540, 519, 16906, 2344, 269, 0, 24993, 281, 9947, 476, 2767, 267, 476, 1708, 272, 454, 10501, 7847, 616, 513, 1507, 267, 6653, 4829, 602, 568, 1419, 1031, 538, 11256, 269, 634, 2030, 1225, 7949, 7472, 666, 581, 9070, 730, 3362, 676, 2921, 27191, 543, 9544, 873, 538, 17428, 610, 2047, 883, 519, 2666, 269, 594, 786, 3802, 596, 998, 875, 547, 1491, 27191, 689, 707, 1225, 7949, 17382, 267, 799, 1058, 948, 596, 2333, 519, 1297, 540, 1225, 7949, 26965, 596, 723, 563, 8794, 14606, 547, 31666, 622, 4354, 7949, 12338, 14005, 454, 763, 1101, 1900, 538, 9070, 908, 707, 1225, 7949, 26965, 568, 547, 1491, 27191, 269, 898, 781, 1271, 602, 519, 5969, 711, 581, 1932, 2462, 543, 3568, 693, 2547, 1079, 19512, 593, 1142, 1439, 540, 621, 269, 901, 1058, 1450, 585, 2614, 5072, 547, 1106, 267, 855, 711, 865, 1082, 607, 547, 1118, 519, 2030, 2352, 610, 7543, 547, 4383, 609, 3908, 2230, 269, 6875, 513, 1762, 7936, 267, 946, 513, 8325, 16405, 547, 2759, 1055, 519, 1439, 609, 693, 2547, 1079, 19512, 267, 543, 1287, 1747, 621, 538, 5848, 3037, 269, 898, 568, 1271, 602, 519, 5969, 3085, 1405, 3251, 1932, 6632, 610, 3819, 585, 6905, 5712, 540, 942, 607, 713, 666, 14207, 922, 2702, 547, 3597, 5265, 563, 763, 1985, 1900, 1310, 11093, 707, 1225, 7949, 2030, 538, 1216, 568, 7996, 827, 513, 3923, 1354, 596, 1847, 621, 883, 519, 7943, 269, 634, 7996, 1974, 568, 1317, 5072, 949, 1869, 581, 8108, 11895, 1256, 1498, 789, 616, 856, 540, 8289, 269, 4495, 596, 4312, 31372, 1472, 13977, 2395, 267, 1491, 707, 1762, 17382, 543, 9900, 4894, 1022, 3762, 689, 519, 1283, 3368, 540, 922, 6565, 630, 10472, 786, 948, 621, 4309, 811, 3141, 1040, 3973, 5402, 2322, 1142, 1007, 2030, 13964, 1510, 15700, 519, 10347, 5072, 799, 723, 4646, 593, 519, 5377, 3368, 540, 519, 6565, 563, 1692, 547, 31666, 622, 4354, 7949, 12338, 14005, 4635, 9995, 454, 306, 663, 666, 849, 581, 1031, 607, 513, 18640, 5420, 267, 543, 621, 1281, 711, 2154, 513, 3597, 532, 9449, 269, 898, 568, 3274, 2322, 883, 513, 8708, 1287, 27191, 616, 17332, 883, 621, 267, 4712, 585, 14450, 269, 594, 4769, 1405, 1039, 12775, 9475, 547, 891, 11149, 563, 16605, 519, 5070, 5848, 693, 782, 2053, 547, 2057, 15018, 856, 540, 519, 5969, 781, 5072, 563, 303, 1886, 698, 566, 676, 27191, 568, 513, 1434, 1259, 547, 2333, 519, 8244, 540, 713, 2030, 269, 898, 849, 2337, 2569, 4719, 8390, 538, 2104, 2371, 799, 949, 2097, 607, 2640, 585, 930, 25210, 563, 2026, 606, 4244, 267, 835, 666, 946, 28295, 2553, 971, 607, 2011, 2482, 1359, 610, 24933, 5969, 543, 21910, 532, 547, 29608, 1225, 7847, 689, 741, 5072, 2864, 982, 1210, 27191, 269, 1452, 2409, 616, 811, 2352, 855, 2709, 6793, 3597, 1949, 602, 2285, 5488, 10661, 3928, 609, 1447, 1981, 540, 2068, 2152, 950, 3379, 547, 18640, 3842, 6565, 27191, 269, 2060, 891, 1079, 3681, 2139, 267, 596, 1058, 3442, 627, 31295, 1505, 1655, 17015, 707, 2115, 2336, 303, 1886, 698, 908, 4354, 7847, 4635, 3131, 29411, 454, 268, 3131, 29411, 568, 513, 8748, 3037, 17203, 543, 621, 666, 581, 1031, 547, 29608, 1225, 7847, 563, 268, 19130, 909, 11149, 609, 829, 29411, 865, 602, 789, 616, 827, 1614, 6709, 11467, 2407, 454, 16927, 1705, 711, 1039, 12775, 9475, 547, 891, 11149, 454, 268, 9255, 707, 27191, 883, 891, 11149, 2394, 789, 616, 4904, 909, 4625, 630, 528, 1175, 17401, 14095, 994, 268, 9255, 891, 17428, 3544, 454, 268, 2991, 513, 3923, 610, 865, 267, 596, 1058, 1294, 5072, 4947, 909, 856, 540, 519, 27191, 454, 268, 14190, 873, 547, 3136, 3395, 538, 741, 1007, 1753, 585, 693, 2547, 2185, 3275, 1354, 13003, 532, 883, 707, 4677, 543, 6368, 16276, 930, 4829, 2336, 1607, 8666, 568, 513, 1225, 7949, 602, 729, 9070, 730, 543, 5116, 883, 829, 29411, 269, 634, 835, 594, 723, 538, 519, 5070, 568, 711, 2943, 3597, 532, 269, 901, 835, 689, 519, 829, 29411, 568, 4358, 547, 3597, 1310, 1614, 4374, 269, 594, 6415, 8066, 621, 936, 519, 5070, 865, 621, 781, 2653, 547, 1294, 519, 5072, 538, 519, 8666, 563, 13828, 540, 891, 1225, 7847, 689, 519, 829, 29411, 8708, 563, 5475, 24306, 5620, 717, 3497, 4934, 454, 5475, 519, 5072, 723, 6738, 267, 596, 666, 2901, 1494, 909, 707, 1225, 7949, 2030, 610, 4734, 621, 538, 922, 3312, 8708, 269, 23657, 1259, 267, 1118, 2386, 547, 1832, 621, 5848, 676, 14450, 1169, 1906, 2395, 269, 5269, 2386, 711, 547, 936, 4248, 1317, 602, 7512, 3597, 4232, 3079, 540, 2635, 2208, 2336, 763, 1655, 942, 547, 798, 713, 568, 538, 519, 5614, 950, 596, 616, 3843, 547, 1205, 707, 2371, 3323, 269, 634, 8708, 2115, 547, 581, 1804, 2614, 585, 519, 3597, 543, 6565, 630, 520, 2547, 513, 20645, 1040, 898, 666, 849, 581, 2944, 1282, 519, 4832, 610, 2887, 952, 5551, 269, 3807, 1118, 2386, 621, 568, 2760, 1932, 4411, 3544, 2336, 2252, 2451, 593, 922, 1378, 267, 707, 2030, 786, 1332, 909, 883, 513, 17382, 609, 811, 4829, 24481, 8371, 982, 513, 1494, 2356, 3091, 269, 1403, 1494, 1540, 909, 910, 799, 3322, 9427, 1022, 12721, 18047, 602, 1522, 723, 6738, 1472, 621, 269, 1411, 666, 849, 798, 713, 538, 519, 2887, 267, 676, 9427, 621, 689, 922, 8708, 543, 16298, 513, 1007, 835, 609, 29238, 3037, 563, 763, 6206, 547, 21988, 31666, 566, 568, 7720, 626, 675, 2336, 10890, 11588, 540, 4354, 7847, 454, 268, 4354, 7847, 616, 513, 1434, 2707, 540, 6171, 595, 543, 22670, 267, 1312, 1898, 547, 10307, 563, 268, 634, 16320, 30662, 514, 538, 519, 15708, 568, 3254, 547, 723, 15934, 3601, 267, 7303, 10408, 3441, 547, 2149, 1996, 2068, 563, 268, 2290, 7484, 540, 1225, 7847, 814, 827, 476, 2004, 8477, 454, 268, 4354, 7847, 798, 711, 991, 547, 581, 14023, 730, 256, 1358, 666, 2063, 585, 513, 1279, 942, 952, 6854, 693, 4055, 2837, 563, 31995, 4354, 7949, 12518, 454, 10501, 7847, 616, 513, 25836, 17382, 602, 2154, 2370, 5826, 543, 666, 581, 6738, 538, 1034, 16374, 269, 4354, 7949, 2371, 786, 1332, 1134, 609, 824, 19211, 610, 30676, 899, 30207, 267, 18812, 341, 1149, 267, 24712, 267, 24917, 903, 22976, 267, 3109, 9440, 26965, 267, 543, 811, 563, 268, 7233, 519, 1225, 7949, 17382, 689, 3597, 18450, 538, 2038, 5614, 1354, 789, 6978, 856, 585, 1655, 2164, 269, 6733, 585, 2635, 23302, 5072, 950, 9544, 873, 547, 2333, 741, 6668, 2557, 282, 952, 596, 2030, 873, 1282, 2887, 3275, 2503, 930, 2009, 5884, 3724, 540, 3762, 4470, 593, 875, 4411, 621, 4991, 1141, 596, 2661, 563, 268, 6226, 909, 2614, 2230, 896, 707, 5551, 5544, 630, 12671, 476, 1321, 6279, 264, 547, 1747, 519, 3597, 3440, 1287, 1394, 15640, 1472 ]

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

[ 1475, 6246, 269, 274, 260, 2008, 347, 275, 1475, 295, 537, 8725, 268, 763, 8381, 4133, 4149, 13610, 8092, 267, 29255, 1475, 273, 267, 28178, 267, 1822, 1475, 3607, 269, 275, 260, 2008, 347, 276, 1475, 305, 1392, 728, 4149, 534, 24527, 3626, 14114, 660, 9222, 267, 11404, 1475, 273, 267, 3192, 267, 1822, 1475, 5392, 269, 275, 260, 2008, 347, 278, 1475, 291, 23775, 6363, 677, 29247, 5025, 337, 28002, 267, 29255, 1475, 272, 267, 280, 6246, 267, 1822, 1475, 2764, 269, 275, 260, 2008, 347, 280, 1475, 26596, 21293, 268, 6124, 4858, 684, 325, 1564, 267, 29255, 1475, 272, 267, 28796, 267, 1822, 1475, 4649, 269, 278, 260, 2008, 347, 1015, 1475, 26596, 17630, 4211, 541, 3149, 21112, 267, 11404, 1475, 272, 267, 5400, 275, 267, 1822, 1475, 3451, 269, 274, 260, 2008, 347, 1556, 1475, 26596, 12770, 14114, 752, 1633, 6953, 599, 1189, 267, 11404, 1475, 272, 267, 25484, 267, 1822, 1475, 2641, 269, 280, 260, 2008, 1805, 919, 543, 11182, 609, 519, 22662, 262, 5207, 8167, 540, 3571, 3966, 923, 630, 1001, 271, 994, 31340, 1678, 1475, 13750, 270, 614, 761, 800, 1475, 14367, 13732, 2551, 1475, 8110, 1417, 17104, 2008, 7021, 3368, 540, 519, 17104, 2551, 568, 13671, 538, 519, 25763, 3148, 267, 6140, 7768, 540, 11204, 4892, 267, 581, 519, 11876, 4486, 256, 4993, 543, 7147, 723, 930, 540, 519, 22699, 262, 4102, 5095, 540, 5165, 15092, 543, 6239, 1977, 3571, 3966, 923, 538, 519, 2136, 2276, 269, 634, 29036, 3148, 568, 13856, 676, 17896, 681, 15092, 543, 29401, 4892, 267, 688, 9109, 262, 519, 22662, 262, 5207, 9830, 540, 1312, 538, 519, 22662, 262, 2197, 267, 865, 621, 568, 269, 769, 519, 11068, 9533, 3148, 267, 10704, 593, 519, 9823, 5450, 549, 9351, 267, 30571, 534, 4892, 616, 519, 22699, 262, 4102, 540, 17104, 2516, 267, 1018, 286, 8419, 568, 13856, 676, 23162, 4892, 543, 17896, 681, 15092, 267, 596, 917, 586, 518, 1345, 269, 769, 1312, 519, 4279, 20463, 2276, 543, 519, 3162, 9533, 2276, 267, 5165, 15092, 543, 17896, 681, 15092, 20441, 267, 581, 519, 11876, 4486, 256, 5165, 15092, 20441, 538, 519, 22662, 262, 1964, 540, 519, 22662, 262, 2197, 267, 925, 514, 262, 519, 22662, 262, 5375, 2136, 2276, 267, 3162, 6239, 2136, 2276, 543, 4279, 26111, 2829, 563, 2026, 540, 476, 1001, 279, 267, 5111, 476, 7830, 260, 540, 519, 22662, 262, 4182, 781, 17104, 2551, 941, 540, 11204, 5169, 630, 5408, 3349, 1040, 717, 262, 9774, 1631, 543, 6432, 547, 713, 530, 534, 269, 6271, 476, 280, 269, 277, 260, 941, 540, 17896, 681, 4618, 5169, 267, 609, 827, 476, 275, 260, 1142, 540, 23162, 543, 30571, 534, 543, 476, 274, 269, 275, 260, 29401, 8129, 269, 634, 14230, 941, 540, 824, 6239, 1977, 610, 540, 3162, 1977, 5169, 267, 610, 540, 5169, 2047, 689, 8050, 269, 5565, 555, 8674, 540, 782, 17104, 543, 21337, 4892, 941, 4535, 538, 519, 22699, 262, 2136, 2276, 563, 2467, 616, 1906, 11082, 2047, 689, 8050, 267, 2094, 1975, 8643, 1841, 723, 13840, 32164, 3603, 547, 5824, 3013, 2864, 982, 2296, 6741, 752, 514, 262, 2477, 269, 595, 6415, 699, 21266, 594, 2995, 586, 714, 269, 5221, 540, 713, 267, 1034, 3571, 3966, 923, 945, 2697, 2933, 607, 1975, 8643, 731, 610, 5053, 849, 2697, 609, 5824, 1977, 3084, 5169, 267, 547, 581, 2386, 269, 769, 519, 22662, 262, 476, 1001, 278, 17227, 7447, 5111, 476, 272, 269, 274, 2929, 4892, 4080, 930, 1106, 540, 834, 28049, 257, 607, 741, 22693, 267, 2436, 2047, 689, 8050, 610, 711, 563, 1103, 7187, 1715, 6792, 543, 7013, 12548, 267, 972, 568, 513, 22662, 262, 1804, 6712, 540, 3571, 3966, 923, 945, 10250, 741, 22693, 547, 5053, 13896, 540, 519, 22699, 262, 3735, 476, 1626, 628, 2540, 998, 519, 22699, 262, 476, 1704, 628, 2540, 267, 3014, 3440, 256, 4658, 689, 713, 4282, 1419, 1582, 268, 1211, 1518, 607, 834, 14367, 3966, 657, 2580, 834, 28049, 257, 610, 834, 14367, 13732, 2668, 20289, 24329, 256, 3509, 540, 891, 13896, 849, 954, 3405, 3072, 609, 2199, 589, 1067, 785, 2103, 267, 1525, 514, 262, 513, 631, 652, 714, 334, 2551, 269, 19452, 267, 7013, 17039, 568, 1753, 547, 2950, 540, 1004, 540, 2052, 776, 11866, 16350, 267, 1634, 607, 1772, 548, 10722, 657, 267, 538, 1840, 547, 824, 1004, 540, 5053, 22693, 563, 2419, 4618, 657, 267, 2836, 4613, 3930, 267, 715, 826, 341, 727, 343, 4618, 657, 543, 1855, 13568, 657, 616, 4892, 540, 5053, 543, 5924, 11204, 16350, 269, 1488, 571, 262, 1131, 9493, 6432, 547, 713, 695, 924, 286, 932, 4618, 657, 2661, 538, 519, 25763, 267, 715, 826, 341, 727, 343, 4618, 657, 538, 1715, 6792, 543, 1855, 13568, 657, 538, 7147, 269, 715, 826, 341, 727, 343, 4618, 657, 543, 1855, 13568, 657, 616, 3982, 4529, 609, 741, 1378, 32345, 267, 22463, 543, 7574, 5389, 267, 519, 695, 924, 24849, 330, 269, 634, 2165, 834, 2419, 4618, 334, 257, 2968, 2442, 10838, 11204, 4892, 538, 519, 22662, 262, 476, 3422, 271, 338, 546, 584, 514, 262, 519, 932, 4618, 334, 18541, 543, 932, 4618, 334, 11873, 267, 543, 568, 2221, 2938, 607, 606, 6803, 543, 2686, 3961, 676, 930, 269, 14348, 9493, 3494, 713, 695, 924, 286, 303, 11823, 19191, 595, 15530, 541, 932, 5451, 557, 345, 543, 29787, 21280, 2946, 21293, 16645, 541, 9418, 616, 4583, 932, 4618, 657, 563, 301, 8500, 7595, 753, 616, 4892, 540, 17896, 681, 4618, 16350, 689, 519, 22662, 262, 1715, 3840, 4975, 1858, 269, 1733, 880, 339, 1631, 543, 552, 626, 15073, 558, 269, 1703, 616, 2673, 547, 1079, 2929, 715, 8500, 7595, 753, 538, 519, 2136, 2276, 269, 1733, 880, 339, 1631, 543, 6432, 547, 713, 530, 534, 269, 25587, 715, 8500, 7595, 753, 1331, 6837, 342, 1580, 28641, 744, 322, 553, 1470, 4211, 677, 14162, 267, 2475, 10966, 7040, 25960, 590, 8205, 590, 582, 558, 599, 528, 543, 22256, 26391, 700, 2100, 345, 563, 31142, 657, 2501, 689, 3818, 268, 24055, 543, 3818, 268, 996, 28649, 2477, 609, 4763, 540, 8129, 282, 4061, 267, 513, 13411, 21337, 666, 581, 689, 1022, 5198, 610, 3575, 540, 621, 269, 2142, 329, 904, 639, 269, 634, 1419, 1034, 1455, 7278, 1845, 616, 281, 6805, 689, 519, 22662, 262, 17113, 630, 30943, 31787, 1070, 3979, 267, 543, 3864, 267, 1131, 9493, 2220, 958, 602, 286, 4475, 267, 1034, 5824, 657, 723, 6404, 22693, 540, 1114, 10659, 543, 12753, 267, 4352, 1875, 2173, 12089, 5824, 657, 540, 1142, 5198, 849, 2291, 538, 9867, 5666, 593, 1142, 2197, 563, 14367, 13732, 610, 21337, 5169, 568, 4830, 540, 5198, 543, 568, 17941, 834, 30710, 640, 257, 676, 519, 2136, 2276, 17227, 13163, 269, 1733, 880, 339, 1631, 543, 6432, 547, 713, 530, 534, 269, 667, 2570, 514, 262, 593, 519, 22699, 262, 4525, 1369, 5824, 3013, 267, 513, 22699, 262, 1713, 8167, 540, 5824, 657, 723, 1164, 547, 9793, 2157, 540, 7810, 268, 5028, 4427, 25781, 3979, 3403, 998, 519, 22699, 262, 2558, 534, 268, 4263, 23007, 695, 331, 1511, 4123, 269, 10513, 1025, 1430, 514, 262, 9478, 267, 6432, 547, 713, 269, 1809, 849, 607, 513, 1267, 689, 17417, 540, 24908, 5198, 676, 1259, 540, 519, 3345, 3979, 631, 3233, 7332, 13567, 540, 30345, 807, 954, 332, 1460, 514, 262, 741, 6090, 883, 519, 21979, 262, 2551, 269, 6684, 547, 1975, 8643, 1841, 267, 14082, 267, 2296, 267, 4436, 543, 1082, 824, 3864, 6082, 936, 519, 5553, 267, 1082, 5824, 4892, 849, 4865, 7810, 5736, 1715, 4168, 9484, 14551, 545, 6014, 22693, 269, 1677, 513, 14758, 6708, 824, 5824, 4892, 4865, 693, 2547, 9864, 22693, 540, 811, 2487, 2022, 12258, 11102, 22693, 689, 12891, 5287, 21532, 7642, 267, 2274, 2779, 710, 29240, 630, 8867, 3316, 3150, 267, 26219, 543, 24752, 1070, 607, 1134, 607, 4457, 543, 5545, 1851, 1866, 269, 4935, 267, 607, 513, 13411, 2898, 267, 5824, 4892, 616, 513, 22662, 262, 3818, 24055, 2551, 267, 609, 5232, 540, 8098, 4869, 675, 2157, 602, 4268, 689, 1268, 547, 1268, 267, 689, 4268, 514, 262, 2518, 4719, 2959, 563, 16914, 867, 514, 262, 547, 519, 476, 1001, 278, 1977, 7991, 11752, 267, 476, 4792, 260, 540, 17104, 543, 5824, 657, 4857, 607, 6519, 269, 634, 4102, 2338, 540, 1346, 945, 2015, 2933, 6519, 3571, 3966, 923, 2097, 689, 1369, 519, 22699, 262, 11204, 267, 17896, 681, 4618, 267, 23162, 267, 18207, 1014, 543, 5053, 2950, 563, 7021, 513, 22662, 262, 10116, 540, 17104, 13624, 520, 3626, 4892, 2697, 607, 834, 16341, 824, 5198, 1701, 1452, 834, 16341, 824, 5198, 257, 3571, 3966, 923, 616, 2356, 10924, 547, 581, 544, 652, 714, 657, 610, 15273, 3430, 657, 269, 589, 1713, 6871, 540, 519, 22699, 262, 17104, 543, 21337, 2551, 1582, 268, 1211, 5809, 607, 631, 652, 714, 334, 267, 3226, 519, 22662, 262, 11204, 543, 6239, 1977, 2146, 269, 631, 652, 714, 334, 568, 711, 513, 7292, 7121, 538, 519, 22662, 262, 772, 2529, 267, 1131, 9493, 3494, 621, 286, 17227, 267, 855, 19752, 2576, 945, 568, 6857, 540, 741, 7111, 1977, 543, 3864, 22693, 267, 1131, 9493, 2220, 958, 602, 286, 2986, 782, 4892, 945, 13761, 519, 4216, 834, 5278, 4033, 17813, 2580, 476, 9032, 2600, 941, 17104, 563, 29909, 835, 21017, 540, 519, 3818, 268, 15869, 17013, 941, 3571, 3966, 923, 269, 4107, 540, 519, 3818, 268, 24055, 2551, 538, 519, 22699, 262, 11204, 267, 30571, 534, 267, 543, 26976, 534, 2950, 616, 540, 6404, 3864, 543, 7111, 1977, 22693, 630, 300, 652, 714, 334, 1070, 1247, 1034, 540, 519, 21979, 262, 3818, 24055, 2551, 538, 519, 21979, 262, 17896, 681, 4618, 267, 29401, 267, 543, 23162, 2950, 616, 540, 6404, 3864, 267, 3979, 267, 543, 7111, 1977, 22693, 630, 300, 592, 16201, 20081, 686, 268, 24055, 1916, 763, 1906, 4627, 8536, 7489, 3571, 3966, 923, 616, 540, 1585, 10080, 267, 1851, 799, 1331, 27208, 544, 652, 714, 657, 609, 5053, 4282, 267, 1306, 2103, 540, 5824, 1977, 4282, 630, 1410, 3263, 925, 514, 262, 4457, 10699, 753, 543, 5545, 3131, 12320, 2103, 264, 543, 1346, 540, 2487, 6404, 7489, 543, 17104, 4282, 269, 2142, 519, 11876, 4486, 1934, 781, 513, 844, 732, 530, 534, 269, 8074, 602, 21309, 16394, 616, 3622, 711, 18886, 607, 17104, 267, 5103, 519, 22699, 262, 1249, 602, 519, 5053, 32519, 519, 22662, 262, 13372, 543, 1082, 21309, 16394, 723, 5053, 4408, 563, 14367, 13732, 543, 5824, 657, 616, 1419, 7292, 569, 540, 7111, 1977, 22693, 269, 1280, 1383, 267, 540, 5824, 657, 8174, 514, 262, 689, 7187, 6792, 267, 2015, 2933, 6519, 610, 11760, 7111, 1977, 22693, 609, 930, 3864, 23399, 267, 1247, 540, 1346, 8174, 514, 262, 689, 7013, 11204, 22693, 267, 519, 21979, 262, 5354, 616, 7111, 1977, 610, 540, 7111, 1977, 543, 3864, 1323, 6827, 787, 269, 769, 30188, 267, 2904, 753, 616, 5354, 267, 1247, 538, 4432, 30571, 267, 1004, 540, 7111, 1977, 16350, 616, 519, 21979, 262, 5354, 269, 10513, 1025, 1430, 514, 262, 9478, 267, 6432, 547, 713, 269, 769, 519, 21979, 262, 29401, 6243, 267, 519, 21979, 262, 2551, 616, 7361, 1500, 909, 540, 1004, 609, 954, 2173, 12089, 7278, 1845, 267, 538, 799, 972, 616, 1256, 2157, 540, 3864, 22693, 267, 609, 4130, 2338, 540, 1733, 2572, 543, 2349, 2931, 607, 1134, 563, 1103, 17896, 22656, 267, 1004, 609, 3818, 268, 24055, 22693, 616, 519, 22662, 262, 5354, 269, 17610, 713, 568, 621, 269, 1703, 616, 849, 5095, 540, 15866, 540, 3979, 16350, 607, 1134, 607, 5095, 540, 1977, 4095, 16350, 607, 1134, 607, 1346, 609, 954, 332, 12089, 7278, 1845, 269, 10699, 753, 616, 6140, 540, 6519, 5824, 1977, 22693, 267, 2705, 972, 616, 849, 5095, 540, 2349, 2931, 543, 3818, 268, 24055, 338, 607, 1134, 269, 634, 5198, 543, 2528, 540, 1142, 17104, 13624, 520, 3626, 2197, 543, 741, 2136, 2276, 29563, 15320, 676, 1686, 543, 11585, 563, 25324, 976, 540, 11204, 6561, 2099, 519, 21979, 262, 13557, 540, 519, 22699, 262, 2475, 17104, 13624, 520, 3626, 2551, 269, 4107, 11204, 4892, 2907, 609, 606, 21979, 262, 3818, 19356, 1049, 4527, 538, 519, 22699, 262, 7330, 2392, 11294, 262, 519, 22662, 262, 476, 3192, 271, 338, 616, 540, 15866, 3864, 5169, 267, 1247, 1034, 2487, 11204, 4892, 602, 723, 28953, 610, 13956, 689, 20404, 547, 519, 21979, 262, 2136, 2276, 2022, 268, 2735, 271, 338, 616, 540, 15866, 7111, 1977, 16350, 609, 4268, 514, 262, 2157, 540, 3864 ]

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

[ 1044, 25735, 547, 1413, 899, 513, 4062, 689, 606, 4505, 942, 1974, 780, 3719, 1946, 1131, 2576, 1616, 547, 4444, 25447, 11647, 3079, 540, 1945, 1007, 286, 1280, 835, 3364, 267, 25447, 11647, 1419, 814, 513, 2189, 19259, 543, 1915, 602, 3112, 581, 1336, 538, 2527, 1790, 22004, 3688, 269, 3962, 4062, 6645, 513, 1650, 543, 8591, 513, 2631, 540, 1686, 543, 2245, 547, 513, 4055, 269, 9578, 267, 1082, 1004, 3494, 602, 25447, 11647, 568, 3710, 547, 2063, 543, 786, 3180, 922, 1871, 936, 942, 780, 8170, 1576, 267, 10655, 25447, 11647, 3884, 1405, 1175, 827, 9140, 519, 1034, 7199, 610, 14969, 4773, 269, 1411, 666, 849, 1265, 5898, 538, 12863, 3688, 267, 971, 607, 21305, 19141, 267, 22311, 267, 543, 21684, 269, 1656, 1810, 1405, 7340, 827, 16560, 6575, 267, 899, 642, 1162, 267, 18810, 267, 543, 20955, 269, 2353, 540, 891, 1919, 666, 1039, 1719, 543, 7209, 547, 707, 2713, 5624, 780, 3383, 875, 666, 596, 1376, 3695, 519, 1158, 540, 25447, 11647, 543, 16560, 6575, 286, 2290, 1259, 568, 547, 3643, 7270, 602, 20647, 538, 9513, 891, 2010, 540, 3688, 269, 2368, 4609, 1256, 1450, 596, 547, 6882, 707, 3406, 676, 2511, 267, 1974, 267, 610, 3902, 2039, 269, 2334, 1259, 267, 596, 666, 1265, 4010, 1018, 596, 2811, 3168, 585, 543, 3251, 1369, 707, 6578, 780, 5194, 4781, 568, 547, 3643, 2199, 25447, 15945, 267, 7904, 320, 6990, 267, 610, 10040, 6455, 269, 1452, 4025, 616, 2407, 540, 6456, 16782, 7996, 547, 581, 4362, 269, 3807, 3314, 547, 1491, 707, 942, 267, 2307, 2055, 267, 543, 3972, 707, 26756, 950, 14045, 2436, 610, 711, 547, 6718, 1945, 269, 2060, 513, 2370, 3787, 540, 9639, 543, 2259, 267, 596, 1522, 1175, 1831, 606, 25447, 21689, 3054, 2439, 1103, 3932, 267, 25447, 11647, 543, 16560, 6575, 2709, 513, 19214, 883, 519, 2250, 1247, 4946, 5898, 543, 1915, 547, 938, 1459, 6377, 2729, 269, 6787, 596, 4782, 6264, 328, 846, 556, 24737, 1431, 610, 2241, 21305, 9060, 267, 972, 781, 2141, 1945, 1007, 547, 3605, 538, 713, 9159, 15908, 269, 1924, 979, 6619, 267, 4685, 538, 267, 543, 25793, 1662, 707, 6418, 1884, 1172, 518, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15771, 24535, 281, 476, 20542, 268, 9262, 277, 268, 271, 5780, 272, 1315, 966, 3041, 3951, 25723, 7034, 25492, 454, 292, 5979, 638, 775, 10378, 568, 519, 30856, 2707, 585, 3943, 543, 3864, 6273, 267, 1688, 8154, 539, 556, 24737, 1431, 543, 9758, 1884, 2294, 563, 13126, 23103, 11647, 689, 713, 3135, 454, 288, 1390, 23103, 568, 6913, 609, 513, 4999, 540, 513, 2603, 540, 2609, 269, 1677, 1711, 513, 1390, 16889, 2230, 267, 596, 1590, 3643, 4432, 13228, 775, 2593, 602, 23619, 519, 20923, 4015, 540, 8654, 2472, 267, 15135, 267, 4859, 4559, 267, 7499, 4773, 543, 1884, 2294, 538, 835, 1747, 563, 300, 597, 5558, 267, 15135, 543, 7515, 585, 707, 1753, 454, 2691, 621, 568, 942, 547, 2285, 513, 18138, 5905, 547, 707, 1753, 954, 12542, 267, 596, 1590, 3442, 689, 1312, 2413, 543, 5929, 11647, 4015, 267, 21305, 3688, 267, 16560, 4773, 543, 1148, 4773, 269, 1714, 13228, 775, 2593, 568, 513, 1390, 2228, 6300, 602, 10525, 513, 30811, 4015, 540, 11647, 543, 16560, 3688, 540, 782, 6688, 585, 707, 5321, 563, 290, 629, 514, 1115, 543, 1433, 322, 1162, 540, 12716, 9096, 454, 24246, 1433, 322, 1162, 543, 19970, 1115, 540, 12716, 9096, 689, 1714, 13228, 775, 2593, 269, 901, 3135, 6770, 519, 5561, 513, 10875, 3099, 540, 25447, 4015, 267, 1034, 2413, 535, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 4165, 2294, 1299, 11814, 17156, 1315, 4165, 1664, 30166, 8132, 543, 5463, 20753, 8551, 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, 281, 8490, 14568, 10003, 338, 609, 1234, 7094, 539, 21311, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 1018, 4523, 547, 782, 519, 5068, 14569, 267, 11435, 267, 543, 11149, 602, 1004, 12235, 2476, 286, 2755, 621, 781, 1271, 547, 2569, 267, 19074, 267, 543, 22120, 8164, 2009, 267, 3006, 5068, 3653, 1869, 7475, 909, 538, 26071, 610, 1256, 938, 12084, 269, 1809, 1018, 952, 649, 1223, 1265, 1776, 1259, 547, 2285, 930, 540, 602, 24906, 5068, 513, 2034, 1272, 1247, 849, 5355, 835, 540, 938, 1034, 1898, 5989, 1949, 1765, 30030, 256, 2334, 781, 4010, 1018, 3173, 543, 4070, 3549, 723, 1044, 2324, 593, 1927, 269, 2913, 781, 4685, 883, 875, 789, 2811, 1210, 13381, 5068, 547, 1628, 1732, 9897, 2439, 763, 9046, 281, 28544, 10003, 1811, 454, 5978, 2197, 12346, 8185, 593, 6517, 267, 18114, 267, 543, 21772, 547, 3560, 5370, 543, 1004, 1169, 1554, 269, 2060, 865, 1454, 5957, 543, 15237, 267, 9897, 991, 2834, 5826, 543, 18203, 269, 3683, 942, 267, 18015, 666, 2408, 1813, 547, 4365, 2175, 899, 4764, 267, 6777, 267, 543, 3665, 5210, 269, 1452, 1507, 2152, 5555, 1291, 547, 8273, 2042, 971, 607, 533, 1054, 3421, 543, 4155, 14286, 269, 1677, 2061, 891, 8374, 267, 8030, 1590, 1020, 6793, 2326, 602, 2063, 3476, 543, 1685, 1134, 896, 1585, 2175, 780, 11767, 519, 8827, 281, 1234, 7094, 539, 21311, 454, 288, 2319, 540, 3744, 543, 8030, 1185, 606, 2856, 910, 1946, 711, 2119, 6220, 13381, 15229, 883, 28372, 23399, 1031, 585, 2679, 9897, 286, 901, 5499, 1523, 10905, 1079, 1455, 3653, 2472, 630, 27415, 543, 2025, 28372, 264, 883, 1945, 3730, 543, 1279, 18835, 269, 1635, 4946, 27054, 4765, 5068, 5536, 547, 519, 3905, 5277, 28372, 267, 789, 1711, 513, 18674, 1570, 602, 568, 811, 11259, 547, 25305, 543, 3441, 3361, 676, 10792, 4365, 2175, 780, 1692, 6496, 898, 4518, 888, 2414, 1174, 875, 13381, 5068, 2337, 2087, 28372, 267, 1577, 781, 1101, 1413, 693, 875, 2757, 28372, 1568, 269, 8617, 28372, 5161, 5631, 540, 4224, 4773, 4371, 1927, 676, 513, 20202, 6219, 1572, 3787, 18210, 630, 320, 1826, 540, 3282, 1040, 1879, 6472, 5397, 936, 519, 4155, 2627, 267, 2604, 3123, 6263, 23761, 1063, 519, 7725, 1141, 1216, 666, 694, 788, 538, 1282, 4764, 28323, 269, 1403, 2451, 796, 5417, 5962, 267, 713, 7509, 4617, 839, 519, 6125, 1063, 519, 7725, 543, 5012, 547, 25305, 543, 824, 3029, 540, 21324, 780, 3086, 4952, 4946, 27054, 4765, 5068, 5536, 547, 713, 3575, 269, 3502, 1152, 798, 789, 1491, 909, 2230, 1369, 1346, 6263, 10616, 1063, 519, 7725, 267, 855, 789, 849, 12927, 519, 2949, 2497, 540, 519, 28372, 7848, 950, 12699, 543, 6404, 5265, 269, 901, 3773, 4222, 2306, 519, 3803, 1587, 811, 14463, 1996, 1312, 3232, 6174, 6165, 543, 4049, 4365, 2621, 780, 18600, 28131, 13281, 454, 1103, 2487, 1296, 267, 6887, 2066, 519, 2136, 2276, 723, 13175, 4152, 713, 9621, 1007, 1570, 593, 4890, 9897, 269, 1280, 1383, 267, 2059, 513, 12701, 540, 4993, 3557, 27953, 476, 4200, 267, 25255, 8719, 851, 540, 519, 4540, 4155, 3118, 609, 606, 8097, 28372, 7848, 5627, 476, 1015, 260, 13381, 5068, 676, 2597, 269, 2991, 11972, 5230, 14903, 6808, 543, 7920, 15420, 2429, 519, 5162, 4005, 267, 519, 13381, 5068, 28372, 5340, 24215, 1134, 2439, 6962, 912, 3528, 4466, 3860, 2081, 547, 1065, 17123, 3653, 2326, 899, 5068, 267, 649, 666, 948, 2149, 938, 1604, 1247, 8195, 7393, 2565, 5989, 3785, 899, 9897, 269, 5808, 6487, 1018, 824, 9670, 3096, 3744, 786, 3605, 585, 13381, 15229, 538, 519, 2104, 286, 5901, 707, 4064, 22019, 539, 585, 10124, 538, 6940, 1818, 24657, 2282, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21158, 5240, 1923, 4455, 476, 1839, 267, 476, 1708, 274, 454, 305, 2894, 302, 2443, 1306, 24615, 31879, 19775, 609, 13381, 5068, 814, 6707, 15068, 5230, 14903, 6808, 543, 519, 11626, 8933, 540, 519, 5162, 540, 476, 1708, 273, 268, 2537, 1310, 513, 3296, 540, 4993, 3557, 27953, 476, 4200, 27876, 538, 5130, 267, 8387, 9307, 13638, 563, 17606, 779, 513, 15266, 547, 519, 1007, 2029, 2223, 1767, 4432, 773, 670, 1690, 329, 267, 7548, 540, 3540, 543, 2825, 4702, 693, 519, 2160, 540, 21600, 267, 11412, 334, 543, 12314, 8689, 540, 741, 8111, 335, 1511, 4741, 269, 968, 2171, 616, 10647, 3573, 2773, 543, 2825, 4152, 547, 1205, 547, 713, 28372, 7848, 3034, 4407, 519, 1382, 593, 519, 946, 540, 13381, 5068, 538, 519, 2978, 568, 11173, 267, 21081, 924, 14716, 267, 799, 24574, 1229, 609, 519, 2160, 779, 5375, 13636, 8111, 335, 1511, 4741, 267, 14059, 2836, 10520, 593, 4152, 519, 1007, 7848, 540, 28372, 538, 519, 1483, 1158, 563, 14071, 1705, 606, 6772, 599, 585, 513, 2836, 10520, 1788, 593, 23681, 476, 4200, 267, 13868, 741, 6671, 3575, 609, 476, 1015, 260, 5068, 676, 2597, 540, 519, 536, 5407, 2223, 3798, 326, 731, 670, 8636, 328, 267, 3084, 28372, 9614, 585, 21081, 924, 1230, 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, 27321, 21887, 281, 4498, 1145, 532, 519, 5295, 540, 10965, 8985, 539, 547, 8073, 3493, 628, 543, 17435, 3290, 692, 1103, 1148, 543, 10344, 267, 5888, 531, 2553, 616, 2629, 538, 13057, 13588, 262, 4064, 543, 859, 3183, 1808, 4664, 269, 2290, 971, 4480, 568, 11626, 5133, 267, 799, 5932, 3178, 543, 3845, 676, 22392, 4778, 267, 18565, 267, 543, 24716, 269, 901, 3184, 786, 5490, 883, 519, 1523, 540, 11626, 5133, 267, 922, 3156, 538, 3308, 6575, 267, 543, 6542, 875, 10965, 8985, 539, 267, 513, 3532, 8666, 11049, 3498, 267, 666, 581, 10244, 539, 547, 3927, 2308, 713, 4480, 780, 4263, 4380, 8879, 21887, 4347, 1441, 692, 4263, 4380, 8879, 5133, 267, 849, 1634, 607, 19666, 5133, 267, 4016, 547, 519, 16795, 6175, 538, 25294, 267, 1871, 267, 543, 6985, 320, 29932, 8515, 540, 2681, 24568, 3615, 607, 789, 973, 27827, 689, 2070, 269, 20551, 723, 1279, 6964, 713, 1505, 547, 6655, 8901, 3178, 543, 1614, 1673, 574, 3290, 1275, 538, 1079, 8820, 1568, 269, 1635, 5705, 569, 19249, 24698, 267, 2418, 267, 543, 3877, 267, 5159, 1711, 606, 21903, 602, 11397, 3615, 2408, 1447, 3982, 982, 1346, 6251, 547, 519, 21951, 269, 634, 1198, 568, 24188, 540, 938, 4948, 8226, 282, 2011, 5533, 267, 7509, 267, 543, 7452, 5536, 14649, 1769, 267, 4227, 4334, 543, 4929, 4778, 547, 28201, 607, 9883, 2333, 780, 9209, 2065, 10241, 540, 27321, 21887, 692, 763, 946, 540, 11626, 5133, 814, 1044, 11342, 2429, 1686, 538, 10367, 267, 12400, 267, 543, 16493, 269, 28167, 13005, 30058, 781, 834, 8310, 2672, 3899, 2437, 585, 3236, 267, 9727, 11626, 5133, 3842, 11029, 10593, 538, 2681, 2837, 543, 4334, 1063, 32215, 5515, 543, 4282, 6189, 269, 6684, 267, 808, 8160, 15030, 269, 25306, 781, 5251, 10367, 8415, 27290, 7648, 538, 2681, 543, 1871, 547, 6813, 5318, 20073, 525, 540, 2244, 543, 4262, 695, 709, 4765, 538, 5134, 344, 1654, 2812, 269, 769, 4207, 10344, 267, 11626, 5133, 3788, 4143, 607, 21706, 11441, 547, 7001, 18198, 8916, 543, 2749, 2675, 16747, 269, 3414, 6297, 2022, 3491, 22422, 1210, 3301, 899, 10965, 8985, 539, 267, 2413, 3239, 15670, 900, 3634, 2757, 7499, 2409, 1247, 8508, 1007, 4066, 780, 27409, 8985, 539, 13088, 585, 19793, 1324, 27321, 21887, 692, 27409, 8985, 539, 3091, 3875, 11049, 2645, 602, 7520, 519, 5137, 540, 11626, 5133, 269, 7324, 891, 616, 4598, 267, 2681, 267, 8325, 1145, 267, 543, 16496, 16369, 8060, 269, 29923, 891, 3252, 2636, 5159, 547, 4739, 9159, 2592, 602, 2721, 13588, 538, 543, 4497, 873 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9022, 564, 1143, 4564, 513, 2629, 3184, 538, 519, 6264, 2239, 540, 2441, 1670, 8086, 269, 6736, 1373, 7361, 15739, 323, 1243, 267, 922, 20807, 532, 4715, 518, 5713, 607, 513, 12576, 540, 10770, 2591, 5185, 950, 12394, 547, 24808, 519, 19433, 673, 9769, 540, 2820, 6541, 543, 8103, 538, 2441, 269, 1635, 2502, 7184, 609, 9022, 564, 1143, 267, 649, 3986, 938, 7071, 585, 519, 7096, 3178, 543, 6988, 11251, 1369, 519, 9015, 540, 2441, 1108, 267, 6038, 5807, 513, 21950, 8223, 540, 519, 2290, 7247, 10271, 21334, 607, 7083, 543, 14205, 1640, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13731, 1108, 568, 513, 1360, 3844, 6161, 585, 782, 1004, 5461, 538, 519, 1353, 540, 519, 12287, 543, 4518, 540, 4906, 2441, 269, 5345, 1211, 569, 267, 4906, 814, 513, 2603, 811, 547, 2161, 543, 798, 950, 649, 1413, 693, 782, 519, 30162, 540, 2441, 1670, 10643, 585, 9042, 891, 2395, 269, 1934, 616, 827, 476, 1428, 2835, 602, 594, 1589, 786, 581, 5363, 538, 707, 1620, 540, 519, 1888, 269, 1358, 616, 711, 538, 513, 1808, 1931, 610, 13283, 269, 1809, 594, 3180, 789, 1522, 2285, 596, 513, 4195, 5133, 593, 713, 1888, 563, 13731, 1108, 281, 589, 19978, 267, 8466, 267, 543, 3590, 1738, 5530, 540, 4906, 676, 717, 14283, 744, 685, 31890, 563, 1607, 1433, 9691, 12116, 519, 1655, 13400, 543, 3140, 14172, 1354, 21365, 2212, 6823, 930, 540, 519, 1883, 2055, 540, 9836, 2441, 1108, 281, 1281, 31249, 5132, 1459, 4906, 519, 812, 607, 28119, 543, 1244, 5966, 1242, 286, 1772, 1010, 5609, 16531, 15095, 609, 519, 3635, 540, 513, 1863, 1480, 786, 286, 6496, 909, 3562, 15082, 608, 1122, 8412, 4161, 1010, 2205, 326, 1400, 17748, 543, 2123, 24446, 286, 2052, 835, 31363, 4906, 685, 1909, 607, 513, 8471, 14205, 21831, 609, 519, 5168, 543, 2418, 547, 581, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 291, 665, 564, 1143, 257, 607, 851, 540, 834, 32628, 1315, 4168, 28613, 1315, 2441, 1108, 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, 1012, 22718, 15050, 1744, 22284, 281, 589, 5124, 20861, 692, 1103, 713, 5850, 267, 649, 786, 581, 3695, 513, 5124, 7097, 602, 23607, 513, 1305, 540, 1239, 5627, 519, 3207, 3270, 540, 513, 1895, 540, 22651, 269, 3776, 3804, 568, 547, 3313, 799, 9856, 568, 1034, 4749, 18069, 543, 799, 9856, 568, 1034, 4749, 18069, 693, 519, 1482, 8792, 780, 6524, 649, 4685, 883, 519, 3009, 267, 1577, 781, 1101, 1174, 519, 1239, 649, 786, 581, 2324, 609, 269, 634, 1239, 568, 3177, 538, 513, 1257, 3758, 267, 609, 1142, 1899, 8204, 606, 2680, 602, 7018, 1282, 513, 9856, 781, 6521, 269, 634, 2621, 616, 6592, 538, 26567, 1931, 543, 616, 540, 519, 1739, 3898, 912, 8199, 314, 10817, 731, 1948, 316, 5956, 6521, 454, 314, 10817, 731, 1948, 316, 8813, 18069, 454, 314, 10817, 731, 1948, 316, 530, 1389, 909, 454, 8199, 5978, 4305, 568, 547, 1612, 572, 713, 1239, 543, 1349, 3730, 1344, 827, 519, 22651, 262, 3207, 3270, 780, 2162, 29807, 532, 519, 4578, 692, 763, 1101, 1900, 538, 938, 2079, 568, 547, 1612, 572, 519, 1239, 689, 519, 1257, 3758, 269, 1284, 786, 581, 1210, 519, 3710, 2987, 2387, 13449, 13237, 1599, 547, 1224, 519, 9115, 540, 519, 3758, 267, 543, 519, 2387, 1348, 6050, 13237, 1505, 547, 8237, 519, 9115, 883, 1367, 3515, 563, 3499, 7090, 454, 5976, 1930, 2891, 275, 17902, 8442, 607, 535, 912, 825, 3515, 815, 535, 18667, 6050, 4590, 8199, 2162, 6987, 24219, 31999, 6176, 692, 9202, 267, 649, 991, 547, 1349, 519, 4143, 1344, 689, 1142, 1899, 540, 519, 1239, 269, 1284, 786, 581, 1210, 513, 4999, 540, 5569, 12879, 543, 19585, 6898, 547, 9585, 713, 780, 5575, 267, 649, 786, 3355, 1125, 513, 8675, 547, 4558, 519, 3207, 3270, 540, 1142, 9856, 269, 634, 10569, 540, 519, 8675, 786, 581, 519, 9856, 9517, 338, 267, 543, 519, 2418, 786, 581, 513, 1592, 540, 8792, 11996, 1282, 799, 519, 9856, 729, 18069, 563, 3499, 7090, 454, 7666, 1841, 815, 31460, 8199, 2171, 786, 1287, 621, 4733, 936, 1142, 1899, 540, 519, 1239, 543, 1349, 519, 4143, 1344, 269, 1403, 519, 1899, 6920, 602, 513, 9856, 568, 4098, 741, 6521, 267, 649, 786, 1711, 513, 1007, 7127, 538, 519, 8675, 585, 602, 9856, 269, 1403, 519, 1899, 6920, 602, 513, 9856, 568, 9991, 18069, 610, 24971, 909, 267, 649, 786, 9337, 519, 7222, 7127, 538, 519, 8675, 563, 3499, 7090, 454, 9690, 318, 31384, 815, 7183, 454, 9690, 318, 5271, 757, 815, 29129, 1721, 1899, 538, 3515, 912, 825, 1543, 815, 1899, 14714, 8692, 4590, 825, 8792, 815, 703, 263, 20880, 15631, 276, 18737, 274, 20285, 825, 952, 834, 321, 1122, 1231, 257, 538, 1543, 912, 1038, 1699, 318, 31384, 815, 703, 263, 20880, 21858, 2891, 834, 25011, 272, 6012, 272, 281, 7481, 1038, 952, 1699, 318, 31384, 711, 538, 22651, 912, 2018, 22651, 314, 9690, 318, 31384, 316, 815, 1496, 271, 316, 2608, 476, 2568, 454, 825, 8640, 834, 17517, 257, 538, 1543, 610, 834, 342, 1389, 257, 538, 1543, 912, 1038, 1699, 318, 5271, 757, 6910, 263, 2381, 1393, 994, 1038, 952, 7003, 263, 9690, 318, 5271, 757, 264, 2652, 476, 273, 912, 2018, 585, 3207, 267, 25805, 538, 23407, 263, 9690, 318, 5271, 757, 11468, 281, 273, 3910, 1699, 318, 5271, 757, 314, 272, 15311, 273, 316, 2187, 3546, 22651, 314, 9690, 318, 31384, 6012, 338, 2748, 281, 1177, 820, 316, 6834, 476, 272, 454, 2018, 1699, 318, 5271, 757, 815, 11713, 8199, 2162, 22718, 519, 4578, 692, 3086, 602, 649, 723, 13939, 519, 4143, 1344, 689, 519, 1239, 267, 649, 666, 2253, 938, 2079, 269, 3776, 1101, 4305, 568, 547, 3313, 799, 9856, 568, 1034, 4749, 18069, 269, 1677, 798, 713, 267, 649, 786, 946, 519, 3710, 2987, 2387, 10946, 13237, 1599, 547, 1265, 519, 9856, 609, 519, 5207, 2698, 1297, 540, 3764, 18069, 563, 3499, 7090, 454, 10946, 318, 31384, 16182, 267, 9856, 318, 2675, 7359, 815, 3193, 263, 7666, 1841, 29096, 19572, 1883, 284, 14433, 737, 341, 281, 737, 341, 314, 272, 4940, 8999, 15405, 4820, 272, 815, 3193, 318, 31384, 16182, 2608, 9856, 318, 2675, 7359, 27769, 10946, 4590, 8199, 5978, 2034, 4305, 568, 547, 3313, 799, 9856, 568, 1034, 4749, 18069, 693, 519, 1482, 8792, 269, 1677, 798, 713, 267, 649, 786, 1101, 1265, 519, 5021, 1297, 540, 3764, 602, 1022, 9856, 729, 18069, 693, 519, 1482, 8792, 269, 1284, 786, 1287, 946, 513, 4999, 540, 519, 3710, 2987, 2387, 10946, 13237, 543, 2387, 10113, 13237, 3252, 547, 1265, 519, 9856, 543, 8792, 609, 519, 5207, 1297, 540, 20825, 563, 3499, 7090, 454, 10946, 28804, 2373, 318, 553, 2748, 815, 3193, 263, 2381, 2373, 27982, 3890, 585, 9856, 16182, 267, 3764, 538, 22651, 29096, 15405, 10946, 318, 31384, 16182, 267, 8792, 318, 553, 2748, 815, 1985, 18692, 825, 630, 31384, 16182, 267, 3764, 27769, 10946, 15405, 825, 585, 9856, 16182, 267, 3764, 538, 22651, 29096, 4590, 825, 952, 3764, 27982, 3890, 2652, 3193, 28804, 2373, 318, 553, 2748, 454, 994, 4820, 273, 815, 3193, 318, 31384, 16182, 2608, 8792, 318, 553, 2748, 454, 8199, 2162, 32027, 898, 2353, 8625, 692, 7661, 267, 649, 786, 2322, 782, 540, 519, 4773, 1927, 543, 1711, 513, 1599, 602, 3217, 538, 519, 1239, 543, 7024, 519, 4267, 547, 938, 1079, 4247, 563, 3499, 7090, 454, 3698, 5173, 263, 6050, 2187, 825, 22651, 815, 31460, 825, 1699, 318, 31384, 815, 7183, 454, 825, 1699, 318, 5271, 757, 815, 29129, 825, 585, 1899, 538, 3515, 912, 1038, 1543, 815, 1899, 14714, 8692, 4590, 1038, 8792, 815, 703, 263, 20880, 15631, 276, 18737, 274, 20285, 1038, 952, 834, 321, 1122, 1231, 257, 538, 1543, 912, 2018, 1699, 318, 31384, 815, 703, 263, 20880, 21858, 2891, 834, 25011, 272, 6012, 272, 281, 7481, 2018, 952, 1699, 318, 31384, 711, 538, 22651, 912, 3546, 22651, 314, 9690, 318, 31384, 316, 815, 1496, 271, 316, 2608, 476, 2568, 454, 1038, 8640, 834, 17517, 257, 538, 1543, 610, 834, 342, 1389, 257, 538, 1543, 912, 2018, 1699, 318, 5271, 757, 6910, 263, 2381, 1393, 994, 2018, 952, 7003, 263, 9690, 318, 5271, 757, 264, 2652, 476, 273, 912, 3546, 585, 3207, 267, 25805, 538, 23407, 263, 9690, 318, 5271, 757, 11468, 281, 273, 3910, 1699, 318, 5271, 757, 314, 272, 15311, 273, 316, 2187, 7386, 22651, 314, 9690, 318, 31384, 6012, 338, 2748, 281, 1177, 820, 316, 6834, 476, 272, 454, 3546, 1699, 318, 5271, 757, 815, 29129, 825, 3193, 318, 31384, 16182, 267, 9856, 318, 2675, 7359, 815, 3193, 263, 7666, 1841, 29096, 19572, 1883, 284, 14433, 737, 341, 281, 737, 341, 314, 272, 4940, 8999, 15405, 825, 851, 272, 815, 3193, 318, 31384, 16182, 2608, 9856, 318, 2675, 7359, 27769, 10946, 10797, 825, 3193, 28804, 2373, 318, 553, 2748, 815, 3193, 263, 2381, 2373, 27982, 3890, 585, 9856, 16182, 267, 3764, 538, 22651, 29096, 15405, 825, 3193, 318, 31384, 16182, 267, 8792, 318, 553, 2748, 815, 1985, 18692, 1038, 630, 31384, 16182, 267, 3764, 27769, 10946, 15405, 1038, 585, 9856, 16182, 267, 3764, 538, 22651, 29096, 4590, 1038, 952, 3764, 27982, 3890, 2652, 3193, 28804, 2373, 318, 553, 2748, 454, 825, 12467, 825, 851, 273, 815, 3193, 318, 31384, 16182, 2608, 8792, 318, 553, 2748, 692, 825, 2132, 851, 272, 267, 851, 273, 454, 8199, 2171, 666, 1287, 1289, 713, 1599, 609, 519, 1239, 543, 1820, 519, 2164, 563, 3499, 7090, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 609, 1930, 2891, 275, 17902, 8442, 607, 535, 912, 1038, 3515, 815, 535, 18667, 6050, 10797, 825, 851, 272, 267, 851, 273, 815, 5173, 263, 6050, 994, 825, 1820, 2891, 8512, 476, 272, 281, 15079, 2668, 8971, 263, 4820, 272, 4917, 825, 1820, 2891, 8512, 476, 273, 281, 15079, 2668, 8971, 263, 4820, 273, 4917, 8199, 2162, 10390, 692, 1103, 713, 5850, 267, 649, 723, 8268, 513, 5124, 7097, 602, 23607, 519, 3207, 3270, 540, 513, 1895, 540, 22651, 269, 1284, 723, 4121, 875, 547, 1612, 572, 1239, 689, 513, 1257, 3758, 267, 1349, 4143, 1344, 267, 543, 1685, 2079, 547, 3313, 799, 9856, 568, 1034, 4749, 18069, 543, 799, 9856, 568, 1034, 4749, 18069, 693, 519, 1482, 8792, 780, 9961, 713, 5850, 267, 649, 723, 15091, 519, 2956, 540, 7744, 543, 5690, 545, 1983, 269, 1635, 8840, 1524, 1950, 2042, 883, 4130, 267, 811, 19242, 4773, 267, 649, 666, 811, 3362, 1174, 543, 4194, 873, 269, 3958, 267, 676, 1210, 3710, 2987, 5124, 3252, 543, 1239, 3889, 267, 649, 666, 2328, 811, 3608, 543, 28505, 3009, 780, 2171, 4126, 602, 713, 5850, 814, 1044, 5363, 538, 5355, 707, 5124, 1983, 543, 1620, 540, 1239, 2079, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 263, 2568, 994, 3546, 585, 3207, 267, 25805, 538, 23407, 263, 9690, 318, 5271, 757, 11468, 281, 273, 3910, 1699, 318, 5271, 757, 314, 272, 15311, 273, 316, 2187, 7386, 22651, 314, 9690, 318, 31384, 6012, 338, 2748, 281, 1177, 820, 316, 6834, 476, 272, 454, 2018, 1699, 318, 31384, 815, 703, 263, 20880, 21858, 2891, 834, 25011, 272, 6012, 272, 281, 7481, 2018, 1699, 318, 5271, 757, 815, 11713, 1038, 8640, 834, 17517, 257, 538, 1543, 610, 834, 342, 1389, 257, 538, 1543, 912, 2018, 1699, 318, 5271, 757, 6910, 263, 2381, 1393, 2020, 825, 3193, 318, 31384, 16182, 267, 9856, 318, 2675, 7359, 815, 3193, 263, 7666, 1841, 29096, 19572, 1883, 284, 14433, 737, 341, 281, 737, 341, 314, 272, 4940, 8999, 15405, 825, 851, 272, 815, 3193, 318, 31384, 16182, 2608, 9856, 318, 2675, 7359, 27769, 10946, 10797, 825, 3193, 28804, 2373, 318, 553, 2748, 815, 3193, 263, 2381, 2373, 27982, 3890, 585, 9856, 16182, 267, 3764, 538, 22651, 29096, 15405, 825, 3193, 318, 31384, 16182, 267, 8792 ]

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

[ 15383, 345, 4840, 5320, 23810, 815, 29129, 10113, 318, 3336, 815, 6345, 26098, 318, 3336, 263, 12252, 994, 2018, 6345, 6230, 913, 263, 10113, 318, 3336, 994, 3698, 4098, 10031, 825, 1820, 2891, 15916, 26761, 14826, 15419, 825, 1247, 6936, 912, 1038, 2012, 815, 3403, 2891, 8923, 4283, 2659, 2012, 14826, 20257, 29328, 10797, 1038, 952, 2012, 2652, 1412, 12466, 2018, 1820, 2891, 2791, 666, 1405, 798, 602, 256, 3143, 10145, 3515, 5602, 1038, 3116, 912, 2018, 2736, 7531, 8218, 940, 30800, 3698, 1007, 325, 15635, 10031, 825, 1820, 2891, 11039, 267, 602, 781, 3501, 4090, 547, 1404, 930, 670, 836, 2006, 256, 315, 333, 15419, 825, 1247, 6936, 912, 1038, 3014, 577, 4069, 815, 3403, 2891, 25898, 1411, 899, 547, 1404, 286, 315, 333, 20257, 21639, 10797, 1038, 952, 3014, 577, 4069, 2652, 834, 312, 2464, 257, 610, 3014, 577, 4069, 2652, 834, 312, 13426, 2018, 2736, 454, 1038, 8640, 3014, 577, 4069, 2652, 834, 17472, 257, 610, 3014, 577, 4069, 2652, 834, 301, 13426, 2018, 19523, 20216, 527, 2891, 6546, 781, 513, 17847, 256, 5620, 513, 8799, 1554, 5602, 1038, 3116, 912, 2018, 1820, 2891, 12585, 609, 1152, 476, 8786, 610, 3143, 5602, 1038, 3136, 7531, 3698, 1689, 10031, 825, 585, 1915, 538, 6456, 17504, 281, 476, 1948, 8228, 1025, 3471, 585, 1142, 4484, 538, 5728, 2262, 454, 1038, 7058, 29999, 6910, 2891, 268, 5602, 825, 1820, 2891, 302, 330, 267, 865, 519, 2262, 1411, 991, 547, 7058, 814, 2580, 3259, 29999, 267, 834, 10420, 3030, 257, 9239, 2745, 2891, 6826, 3222, 602, 1411, 666, 4283, 1152, 476, 272, 4484, 689, 513, 22271, 14826, 14826, 5602, 2745, 263, 29674, 29999, 9239, 3698, 27378, 10031, 825, 7058, 4671, 2586, 815, 476, 272, 454, 825, 1247, 7058, 4671, 2586, 2999, 476, 1015, 912, 1038, 7058, 815, 3403, 2891, 303, 1157, 513, 4484, 14826, 20257, 12294, 4590, 1038, 952, 711, 7058, 538, 9904, 912, 2018, 1820, 2891, 11767, 513, 4484, 689, 513, 22271, 9904, 5602, 1038, 8640, 7058, 538, 2262, 23810, 912, 2018, 1820, 2891, 2791, 723, 2907, 31665, 602, 4484, 32405, 1038, 3116, 1384, 2018, 2262, 23810, 6910, 263, 29674, 994, 2018, 952, 7058, 538, 6456, 17504, 912, 3546, 1820, 2891, 2791, 20944, 621, 32405, 3546, 585, 1535, 538, 2039, 263, 271, 267, 3259, 29999, 2187, 7386, 952, 6456, 17504, 20572, 316, 2652, 7058, 912, 13376, 7058, 29999, 20572, 316, 815, 7058, 454, 13376, 1820, 263, 29674, 29999, 2020, 3546, 952, 711, 25023, 538, 7058, 29999, 912, 7386, 1820, 2891, 2791, 4465, 32405, 7386, 2736, 454, 2018, 3116, 912, 3546, 1820, 2891, 763, 4484, 568, 711, 538, 519, 2262, 269, 8347, 11088, 32405, 3546, 7058, 4671, 2586, 6834, 476, 272, 454, 3546, 952, 7058, 4671, 2586, 2652, 476, 1015, 912, 7386, 1820, 2891, 590, 13446, 2494, 267, 1411, 4503, 910, 318, 268, 256, 634, 6456, 2262, 729, 2580, 1363, 6456, 17504, 9239, 4219, 4590, 29674, 532, 10797, 2745, 2891, 29228, 3683, 32405 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1261, 17388, 547, 798, 1082, 1919, 609, 1010, 1073, 333, 2135, 1190, 7245, 2469, 1996, 1864, 1169, 1554, 269, 14977, 2401, 1412, 338, 6469, 12602, 2059, 609, 1010, 6574, 1967, 729, 950, 646, 10692, 6837, 1308, 8942, 693, 721, 584, 335, 566, 547, 3715, 519, 30675, 602, 513, 21470, 5518, 3587, 513, 2407, 7022, 609, 782, 513, 7022, 779, 7060, 593, 519, 2669, 540, 519, 1651, 3518, 550, 5518, 269, 3571, 6574, 5821, 729, 1373, 513, 10553, 8227, 543, 7674, 538, 519, 20752, 2276, 6837, 1282, 519, 6406, 2782, 269, 14977, 2401, 1412, 338, 2101, 4914, 3609, 9740, 729, 519, 28732, 268, 2026, 327, 10767, 2023, 15521, 609, 4279, 6628, 563, 10527, 7022, 1412, 338, 1379, 568, 5433, 782, 936, 519, 1158, 1848, 3143, 4182, 568, 865, 6552, 689, 519, 772, 2529, 269, 602, 789, 666, 2057, 519, 29854, 540, 1977, 23372, 269, 634, 7022, 666, 6057, 741, 7060, 543, 621, 786, 1860, 519, 772, 2529, 607, 1134, 607, 824, 2477, 602, 12314, 609, 721, 269, 968, 763, 6101, 7060, 607, 7396, 538, 519, 9139, 2161, 2370, 827, 513, 2413, 7022, 1412, 338, 1483, 1379, 1848, 7073, 27504, 723, 1259, 811, 1379, 982, 729, 568, 7396, 538, 519, 11156, 267, 789, 798, 711, 723, 547, 1246, 519, 4808, 4625, 899, 2250, 27504, 1131, 723, 1185, 547, 269, 22252, 531, 7060, 616, 11292, 547, 519, 7022, 1631, 267, 538, 1931, 547, 968, 321, 21392, 519, 2197, 1848, 634, 7022, 568, 5827, 540, 9292, 1154, 824, 2477, 609, 1010, 7060, 543, 2413, 27504, 723, 513, 2603, 540, 7060, 602, 616, 711, 4481, 2016, 538, 519, 454, 7437, 519, 1062, 540, 11974, 543, 21356, 621, 2829, 968, 763, 9139, 14828, 6837, 519, 6852, 1379, 547, 17551, 2112, 269, 1809, 621, 849, 2306, 519, 7022, 19524, 538, 8783, 540, 519, 11439, 4229, 1848, 630, 10908, 817, 1040, 5221, 540, 713, 7939, 540, 1379, 519, 7022, 568, 8572, 547, 1118, 1022, 16420, 3664, 593, 1010, 1378, 1510, 519, 13170, 540, 6837, 799, 2488, 6264, 3106, 547, 519, 1004, 269, 1403, 519, 10324, 7936, 941, 547, 2097, 547, 3664, 1510, 1373, 16913, 676, 519, 15424, 543, 16324, 7936, 519, 772, 2529, 269, 2229, 1131, 1599, 607, 513, 28983, 1222, 1141, 1100, 835, 814, 513, 2161, 538, 454, 4517, 4319, 12722, 729, 519, 1101, 865, 1572, 834, 15161, 1412, 338, 7022, 2668, 909, 2394, 1010, 7245, 2229, 729, 4742, 811, 13671, 538, 519, 3946, 540, 519, 18211, 7095, 4229, 540, 519, 2197, 269, 1261, 1500, 1082, 5079, 602, 1223, 581, 2808, 4636, 855, 646, 1500, 519, 3664, 1759, 593, 1010, 7287, 547, 1832, 1455, 4892, 538, 1852, 540, 519, 2229, 269, 1261, 15189, 547, 5710, 519, 2817, 7813, 1412, 338, 22497, 7551, 4259, 519, 2197, 779, 2804, 1646, 1394, 676, 1896, 5756, 269, 7726, 476, 274, 281, 10576, 693, 2547, 835, 6963, 3350, 12006, 538, 5149, 476, 274, 563, 6546, 781, 519, 5518, 649, 991, 543, 849, 513, 5518, 945, 666, 2285, 856, 21855, 547, 721, 269, 6145, 950, 972, 568, 513, 2462, 6595, 543, 18864, 6487, 621, 649, 5749, 1405, 1175, 2469, 547, 1796, 972, 543, 27642, 899, 4986, 3983, 568, 2469, 547, 4755, 269, 3776, 1985, 5518, 4024, 2285, 721, 21855, 1256, 952, 621, 781, 3735, 610, 2038, 610, 538, 519, 2063, 8792, 855, 646, 24172, 786, 2995, 721, 269, 1284, 849, 991, 513, 5518, 945, 649, 666, 1745, 2922, 1472, 602, 2965, 30128, 585, 721, 945, 9327, 1405, 3442, 2724, 936, 782, 540, 721, 269, 589, 5518, 945, 666, 1397, 721, 602, 649, 666, 2661, 538, 4708, 543, 711, 723, 547, 5855, 827, 968, 2129, 327, 646, 781, 22457, 892, 610, 968, 515, 1152, 30128, 827, 519, 2724, 543, 711, 721, 6100, 21156, 540, 602, 649, 991, 547, 2161, 968, 515, 11542, 909, 585, 721, 892, 610, 968, 515, 781, 513, 5518, 602, 9327, 1405, 1577, 721, 1524, 1256, 585, 2724, 9731, 4913, 267, 585, 519, 1034, 851, 1292, 3123, 540, 9505, 23957, 616, 3833, 7059, 1063, 513, 27504, 32222, 547, 1129, 513, 3915, 610, 1654, 1729, 532, 513, 3915, 543, 18322, 17528, 547, 29343, 513, 6578, 547, 15974, 547, 519, 7022, 547, 1129, 630, 16524, 2917, 1040, 15439, 513, 2229, 9505, 6658, 568, 513, 1267, 1317, 281, 634, 772, 2529, 269, 9139, 3340, 454, 5629, 519, 1101, 7813, 540, 519, 2136, 2276, 729, 2813, 676, 6837, 538, 476, 9692, 272, 267, 621, 8118, 909, 6006, 3681, 585, 1857, 12349, 269, 634, 1007, 2229, 849, 1185, 3362, 7771, 519, 7662, 585, 19307, 1282, 4655, 540, 2112, 547, 2061, 521, 4575, 609, 835, 2197, 936, 519, 824, 269, 901, 729, 6707, 2944, 7466, 1282, 5518, 6115, 779, 1079, 2474, 269, 1306, 1454, 607, 21528, 519, 3943, 1282, 1776, 2112, 609, 519, 3703, 1131, 948, 2628, 1394, 741, 7963, 547, 519, 3943, 282, 621, 729, 519, 8797, 3375, 547, 31635, 7771, 547, 2057, 1022, 2104, 2152, 609, 519, 1975, 8643, 1841, 269, 15788, 267, 519, 1007, 1977, 2229, 4682, 998, 1082, 11775, 1603, 543, 4259, 4031, 543, 993, 2056, 2025, 3283, 547, 3136, 547, 1628, 513, 2178, 4346, 607, 513, 454, 24730, 6115, 267, 1373, 519, 1101, 7022, 267, 5433, 602, 538, 1931, 547, 2226, 2497, 538, 519, 2229, 1310, 646, 729, 1100, 3476, 538, 5279, 267, 1185, 547, 4734, 513, 4484, 547, 1010, 2197, 779, 4961, 269, 6115, 3459, 1010, 2232, 676, 4758, 7064, 543, 7071, 547, 3025, 585, 4758, 1864, 519, 4316, 547, 1291, 741, 2197, 543, 7713, 1010, 7744, 585, 19394, 1776, 2165, 269, 13966, 609, 891, 4128, 267, 646, 11329, 856, 930, 540, 519, 20924, 540, 1010, 24164, 267, 16153, 1154, 547, 519, 1857, 602, 646, 729, 711, 513, 3501, 1977, 6205, 543, 602, 646, 568, 711, 513, 23296, 4290, 883, 799, 782, 824, 27504, 1058, 581, 20077, 856, 540, 269, 2755, 646, 7150, 602, 646, 729, 711, 30664, 764, 762, 267, 6115, 1705, 3136, 593, 538, 1010, 2232, 547, 2709, 930, 5796, 547, 519, 2104, 540, 3013, 269, 6115, 454, 1892, 589, 7022, 2877, 547, 581, 11221, 3040, 3509, 4892, 2219, 602, 519, 2229, 729, 519, 1292, 3463, 547, 741, 2924, 3040, 6276, 23885, 5206, 602, 519, 2229, 1185, 547, 581, 3532, 2614, 547, 2149, 1004, 779, 2924, 267, 855, 711, 865, 2178, 602, 621, 1223, 1852, 2924, 540, 1004, 3040, 1635, 2904, 476, 1839, 628, 267, 519, 15007, 729, 13166, 25093, 3040, 6723, 6115, 729, 1360, 25343, 676, 1034, 4892, 3040, 1546, 5586, 919, 4956, 593, 519, 3652, 585, 519, 1985, 15007, 454, 2005, 16461, 1080, 5449, 5313, 5520, 547, 2132, 607, 25211, 1235, 543, 29801, 269, 2060, 8387, 18343, 538, 543, 856, 540, 519, 1857, 543, 4357, 6810, 540, 2486, 267, 865, 1281, 1379, 267, 1978, 22864, 267, 543, 2724, 269, 901, 2360, 519, 21146, 1184, 676, 4657, 519, 1259, 1004, 1589, 269, 5502, 540, 3206, 543, 9117, 2509, 519, 2115, 540, 519, 1004, 267, 789, 1445, 593, 519, 2115, 540, 741, 1985, 16108, 543, 23304, 731, 519, 1964, 269, 634, 1977, 18489, 3175, 16510, 7027, 630, 3201, 4488, 264, 1796, 2427, 676, 2427, 538, 1931, 547, 1711, 2203, 12014, 585, 1977, 1272, 543, 960, 9875, 547, 1205, 873, 5293, 563, 763, 14753, 568, 15284, 5548, 8457, 17619, 630, 293, 11403, 264, 1373, 547, 4279, 12870, 540, 519, 476, 3953, 526, 7022, 2094, 11180, 538, 513, 2136, 2276, 1331, 568, 4892, 269, 1261, 568, 513, 3094, 1945, 585, 4182, 4633, 1376, 693, 519, 14891, 2817, 13482, 538, 15740, 689, 12425, 585, 10540, 1756, 946, 547, 1967, 786, 2285, 827, 2797, 585, 1004, 616, 1489, 568, 14775, 1373, 2161, 1945, 269, 898, 1412, 338, 513, 1004, 1616, 547, 1489, 873, 1831, 513, 7022, 585, 674, 11403, 786, 1491, 513, 1544, 568, 513, 556, 3887, 3005, 2253, 593, 476, 4350, 277, 547, 1379, 540, 519, 2229, 538, 513, 5428, 616, 11180, 269, 1280, 17619, 568, 513, 1007, 4308, 946, 9550, 538, 2797, 543, 2804, 5191, 3478, 27504, 538, 4873, 568, 476, 2767, 628, 729, 593, 519, 476, 736, 628, 2540, 269, 5221, 646, 7959, 811, 2442, 1034, 540, 519, 1007, 4308, 568, 519, 2229, 585, 0, 288, 1126, 16137, 827, 2724, 538, 1896, 2081, 267, 1519, 1018, 789, 1294, 610, 5873, 1472, 519, 2777, 689, 1995, 543, 2937, 5583, 269, 14268, 666, 946, 1585, 4001, 762, 8090, 971, 10918, 693, 513, 4558, 610, 2228, 267, 1818, 513, 2101, 6718, 267, 8391, 2724, 607, 513, 10516, 267, 9683, 513, 2883, 9872, 543, 4058, 513, 1920, 16314, 269, 3371, 616, 930, 1114, 2081, 1453, 4309, 2724, 689, 741, 3237, 912, 2704, 869, 1734, 281, 2290, 540, 519, 1655, 2081, 547, 4001, 1453, 568, 998, 1697, 27108, 2359, 269, 9796, 532, 1453, 585, 960, 789, 798, 543, 2348, 873, 6108, 741, 1378, 2724, 950, 789, 1616, 547, 1118, 16306, 269, 3962, 6718, 543, 27108, 2628, 1485, 666, 581, 513, 1390, 942, 547, 4001, 3214, 827, 2724, 563, 291, 1961, 1062, 281, 14268, 723, 1852, 936, 7836, 855, 3214, 3006, 1589, 519, 2724, 3761, 568, 11995, 563, 292, 7568, 902, 281, 1855, 2851, 602, 2724, 2501, 689, 960, 543, 11414, 5539, 543, 2883, 7115, 269, 1717, 267, 621, 3085, 1406, 1611, 3214, 666, 4383, 519, 2724, 789, 7118, 563, 307, 1779, 547, 707, 1453, 827, 2724, 269, 1306, 3237, 267, 952, 596, 10210, 2724, 267, 596, 723, 547, 2628, 621, 1394, 269, 634, 1482, 3364, 1058, 4019, 547, 1453, 269, 1411, 1058, 948, 873, 6430, 952, 519, 2724, 789, 616, 24228, 568, 585, 513, 1616, 610, 513, 991, 269, 898, 3085, 1406, 10413, 585, 873, 547, 1451, 602, 789, 666, 4688, 585, 519, 6718, 543, 621, 949, 1118, 519, 6718, 811, 14785, 269, 2142, 2386, 547, 2769, 707, 7287, 585, 1919, 596, 666, 1406, 6488, 269, 901, 2982, 1453, 602, 3237, 3006, 723, 547, 2161, 968, 7224, 892, 547, 2933, 269, 0, 288, 11641, 1852, 4274, 666, 581, 1572, 513, 11641, 1852, 11346, 269, 901, 568, 835, 2816, 602, 568, 2808, 513, 968, 4777, 621, 593, 707, 1378, 892, 960, 269, 11048, 267, 11641, 1852, 2367, 979, 883, 7817, 4036, 1878, 607, 1134, 607, 4213, 547, 1413, 585, 14148, 610, 12961, 269, 1358, 1287, 8415, 519, 1318, 1505, 547, 30817, 610, 9004, 519, 11641, 267, 2436, 713, 581, 513, 23561, 267, 6952, 267, 610, 1022, 824, 1935, 269, 1677, 1832, 606, 608, 3410, 1588, 4881, 12347, 267, 9301, 519, 1202, 543, 16080, 540, 17079, 1852, 568, 1271, 563, 5278, 2409, 6964, 676, 11641, 1852, 12665, 616, 1572, 968, 4944, 10105, 892, 2223, 20893, 3101, 892, 610, 968, 323, 787, 21399, 6100, 1452, 616, 20248, 3617, 24096, 540, 1018, 3217, 1747, 950, 6464, 610, 6464, 616, 1031, 269, 634, 3114, 786, 6157, 581, 22280, 610, 10936, 539, 1318, 883, 519, 6098, 4087, 1141, 519, 5521, 568, 23493, 269, 1306, 519, 5521, 8336, 610, 23561, 12599, 2429, 519, 13897, 267, 621, 11394, 856, 8726, 621, 14621, 796, 1506, 8162, 545, 607, 1134, 607, 12735, 4240, 269, 1879, 621, 1327, 919, 1018, 621, 14621, 607, 513, 1966, 267, 621, 786, 979, 1524, 519, 17079, 610, 5521, 8336, 593, 519, 1858, 609, 519, 23561, 610, 23561, 543, 4734, 513, 1390, 5134, 269, 901, 568, 5134, 899, 7623, 602, 568, 24037, 547, 12961, 269, 2843, 504, 20434, 7549, 4709, 3264, 16021, 11714, 397, 488, 4814, 17153, 7846, 476, 25000, 13194, 4138, 11714, 4814, 397, 488, 13194, 18547, 454, 5194, 1455, 2165, 8246, 547, 5581, 713, 5650, 568, 968, 1515, 532, 856, 6100, 1323, 12289, 666, 581, 8519, 676, 21177, 513, 17835, 610, 27829, 693, 519, 12936, 2127, 269, 634, 20893, 3101, 8665, 786, 3442, 10860, 607, 1134, 607, 12961, 602, 616, 3330, 8075, 610, 6306, 906, 269, 898, 19754, 873, 543, 21219, 741, 5798, 1354, 789, 24011, 269, 31849, 540, 1004, 798, 711, 1174, 602, 713, 23352, 1022, 1826, 540, 4540, 12961, 538, 519, 2777, 267, 1932, 563, 2252, 596, 1616, 547, 3247, 513, 2603, 540, 1072, 2152, 267, 1287, 621, 1131, 581, 5227, 547, 6529, 609, 1210, 6464, 269, 11048, 267, 952, 596, 1616, 547, 798, 2476, 609, 1896, 540, 519, 811, 8912, 12961, 602, 533, 6856, 4036, 1878, 267, 1310, 602, 596, 1522, 20053, 547, 3801, 930, 8925, 547, 2011, 532, 856, 1932, 269, 3509, 1004, 723, 2965, 6707, 1500, 946, 540, 2067, 14319, 547, 9004, 1896, 540, 835, 540, 519, 1034, 829, 5371, 1190, 7068, 538, 513, 2777, 269, 1358, 616, 4122, 1447, 14427, 543, 2922, 585, 519, 5790, 607, 1134, 563, 25219, 559, 1944, 13851, 547, 7759, 513, 15335, 540, 15495, 568, 711 ]

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

[ 0, 5278, 5061, 616, 1500, 689, 6211, 2472, 630, 6798, 860, 923, 264, 971, 607, 12489, 610, 5946, 269, 4437, 860, 923, 2097, 689, 782, 12204, 540, 2713, 1919, 267, 971, 607, 3662, 543, 2030, 2281, 543, 1256, 4551, 563, 307, 2858, 15120, 636, 629, 630, 15463, 1061, 514, 264, 543, 829, 14654, 345, 636, 629, 630, 8110, 329, 9508, 264, 616, 6089, 2860, 2126, 5061, 1500, 689, 1979, 860, 923, 630, 6518, 616, 1500, 689, 12489, 1040, 4033, 5061, 267, 971, 607, 10074, 543, 7378, 267, 616, 849, 1500, 689, 1979, 860, 923, 563, 288, 19777, 25630, 568, 513, 968, 10090, 545, 6438, 892, 4528, 540, 513, 3075, 602, 3568, 1979, 860, 923, 563, 289, 3930, 574, 559, 1513, 616, 513, 1114, 689, 13598, 5061, 1317, 789, 2270, 1979, 860, 923, 269, 589, 13598, 3075, 814, 519, 3169, 1482, 3742, 3114, 5820, 607, 519, 3312, 3075, 269, 898, 779, 711, 2009, 547, 1118, 606, 3169, 5299, 540, 513, 1979, 11043, 1317, 621, 779, 513, 2713, 3364, 269, 1717, 267, 513, 19777, 25630, 568, 3810, 2147, 547, 519, 3312, 1979, 11043, 3075, 543, 1568, 519, 1482, 1259, 538, 519, 1560, 563, 763, 2012, 540, 513, 19777, 25630, 2882, 519, 2012, 540, 519, 3312, 1979, 11043, 3075, 269, 1280, 1383, 267, 959, 770, 15120, 636, 629, 1673, 330, 560, 568, 513, 19777, 25630, 547, 519, 3075, 959, 770, 15120, 636, 629, 269, 3962, 19777, 25630, 849, 814, 513, 6216, 2012, 563, 2414, 581, 9516, 676, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 630, 293, 6395, 1070, 513, 19777, 25630, 1590, 960, 519, 1482, 1259, 607, 519, 3312, 3075, 543, 621, 1590, 723, 10778, 4263, 713, 942, 267, 519, 15111, 22190, 28508, 19777, 574, 559, 1513, 585, 6089, 2860, 2126, 616, 782, 19777, 574, 559, 1513, 547, 959, 770, 15120, 636, 629, 630, 15463, 1061, 514, 1916, 8448, 19777, 574, 559, 1513, 616, 896, 1353, 585, 519, 2126, 540, 6089, 2860, 563, 307, 2858, 15120, 636, 629, 630, 15463, 1061, 514, 264, 568, 513, 670, 2207, 273, 2389, 1173, 9643, 3075, 269, 898, 779, 1031, 547, 1521, 2038, 543, 22037, 1738, 670, 2207, 273, 25698, 6089, 11871, 563, 289, 3930, 574, 559, 1513, 547, 959, 770, 15120, 636, 629, 666, 849, 581, 1031, 547, 1521, 2038, 543, 22037, 1738, 670, 2207, 273, 25698, 6089, 11871, 269, 1358, 1331, 630, 514, 9904, 673, 1931, 2187, 5278, 5061, 1031, 547, 1521, 2427, 2360, 540, 18068, 543, 824, 6089, 2860, 5574, 616, 1500, 689, 1979, 860, 923, 269, 2368, 540, 891, 5061, 723, 19777, 574, 559, 1513, 563, 2690, 1383, 267, 930, 1004, 1205, 513, 3043, 1973, 1591, 2208, 3815, 3075, 547, 948, 2226, 741, 1973, 12523, 1282, 18068, 269, 1452, 5061, 616, 1572, 2083, 326, 2858, 574, 630, 10468, 1575, 4094, 264, 610, 890, 326, 16344, 326, 2858, 574, 630, 10468, 592, 770, 320, 1916, 307, 2692, 1922, 559, 326, 2858, 574, 630, 294, 3757, 1460, 264, 543, 890, 326, 16344, 326, 2858, 574, 18191, 332, 27219, 630, 293, 17139, 10042, 264, 616, 519, 19777, 574, 559, 1513, 547, 891, 5061, 563, 18814, 547, 519, 1950, 5663, 1184, 267, 19777, 574, 559, 1513, 616, 14427, 547, 3132, 269, 1306, 811, 19777, 574, 559, 1513, 1831, 2139, 267, 3790, 949, 979, 1524, 936, 942, 563, 2005, 779, 7164, 875, 19777, 25630, 3790, 786, 1860, 2550, 563, 7312, 1072, 1416, 8502, 666, 2995, 596, 2436, 513, 19777, 25630, 3075, 949, 581, 851, 540, 707, 6089, 2860, 2126, 1544, 269, 1403, 596, 723, 2055, 827, 513, 19777, 25630, 267, 2911, 609, 707, 8502, 563, 293, 9711, 585, 5020, 281, 645, 3930, 574, 559, 1513, 454, 26524, 547, 9105, 2659, 16362, 281, 645, 3930, 574, 559, 1513, 454, 289, 3930, 574, 559, 1513, 281, 1548, 1358, 3657, 543, 1548, 1411, 10261, 547, 5700, 454, 272, 268, 279, 6507, 23184, 918, 6865, 2894, 263, 272, 268, 279, 6507, 268, 275, 4792, 268, 5780, 274, 277, 994, 1432, 3947, 596, 4222, 1282, 2126, 286, 0, 12585, 547, 7726, 1948, 31620, 7918, 538, 17449, 8212, 1923, 26457, 19392, 585, 26701, 523, 28418, 454, 8196, 519, 476, 276, 9912, 1505, 543, 581, 2386, 547, 1331, 4559, 1141, 3617, 269, 18471, 707, 4267, 547, 519, 2953, 1297, 540, 1713, 9704, 563, 3849, 3286, 519, 5860, 4542, 543, 4194, 519, 2042, 2630, 912, 1692, 1082, 10101, 540, 17646, 1131, 19582, 476, 1428, 269, 276, 700, 267, 952, 621, 814, 513, 5860, 540, 476, 1704, 269, 25228, 575, 30763, 274, 286, 263, 327, 842, 476, 272, 299, 284, 1911, 271, 9492, 274, 264, 0, 18250, 10111, 20321, 1143, 513, 6390, 634, 4414, 2480, 732, 538, 4173, 23026, 781, 634, 14265, 24862, 454, 1911, 274, 9293, 15037, 476, 1704, 267, 476, 1001, 10019, 9664, 454, 2108, 299, 5366, 17534, 16173, 9635, 5608, 729, 513, 2442, 2165, 22579, 538, 519, 2038, 476, 3707, 271, 779, 547, 16401, 25399, 269, 901, 10839, 2059, 609, 1082, 824, 9413, 267, 2835, 267, 1148, 543, 2575, 267, 723, 2097, 856, 540, 602, 942, 547, 1397, 519, 1198, 540, 5062, 10111, 20321, 1143, 513, 6390, 968, 763, 4414, 2480, 732, 6100, 4173, 23026, 513, 2797, 20419, 626, 543, 14880, 16019, 519, 2278, 540, 968, 763, 14265, 24862, 892, 1312, 1185, 513, 1804, 1764, 593, 1004, 779, 6981, 540, 5062, 10111, 20321, 1143, 269, 1703, 616, 10486, 543, 3604, 1063, 4173, 23026, 543, 16019, 543, 519, 1259, 789, 4682, 827, 10213, 519, 1650, 540, 5062, 10111, 20321, 1143, 269, 1809, 789, 1312, 6829, 998, 1114, 23447, 875, 5739, 519, 2360, 540, 5062, 10111, 20321, 1143, 2451, 593, 519, 4182, 269, 634, 3604, 1063, 873, 616, 2143, 1369, 741, 960, 543, 519, 10486, 616, 789, 1312, 7691, 835, 1268, 729, 538, 5279, 855, 1185, 711, 513, 2603, 540, 1379, 543, 1776, 1268, 609, 519, 4890, 1379, 269, 1656, 789, 1312, 7691, 519, 16995, 2963, 602, 27737, 5062, 10111, 20321, 729, 4758, 856, 543, 1644, 602, 1249, 883, 741, 1106, 540, 1148, 563, 3080, 540, 519, 10486, 1063, 4173, 23026, 543, 16019, 568, 789, 1312, 1397, 835, 1268, 538, 5279, 855, 609, 9277, 1379, 543, 1776, 1915, 609, 4890, 1268, 609, 519, 4890, 1379, 269, 4173, 23026, 2982, 713, 538, 513, 2797, 20419, 1572, 968, 5970, 513, 1416, 267, 11184, 6100, 901, 20419, 2982, 27737, 15608, 5062, 10111, 20321, 8066, 513, 855, 7129, 17180, 29270, 513, 18901, 5518, 29276, 327, 1077, 269, 634, 5518, 814, 513, 18156, 1352, 987, 855, 538, 1747, 540, 513, 17180, 646, 27605, 856, 513, 13692, 269, 901, 20419, 2982, 602, 1256, 1498, 519, 5518, 568, 1483, 12264, 519, 812, 609, 1379, 646, 568, 1379, 1652, 538, 713, 3510, 0, 347, 12441, 596, 1611, 547, 6460, 1475, 6420, 1496, 12626, 2639, 1692, 1082, 2887, 538, 476, 272, 1688, 888, 763, 2626, 568, 476, 271, 269, 26522, 279, 1691, 279, 1691, 279, 1691, 279, 1428, 563, 2171, 8263, 596, 616, 14291, 1063, 2887, 1496, 12626, 316, 543, 1688, 1496, 12061, 25668, 710, 14073, 2791, 666, 2070, 811, 3877, 593, 1142, 6482, 1770, 912, 6420, 610, 1688, 454, 763, 16038, 3490, 1770, 585, 3259, 568, 519, 25451, 563, 272, 25451, 568, 3160, 547, 476, 271, 269, 13970, 279, 1428, 11793, 275, 3393, 6734, 2887, 267, 610, 476, 280, 269, 279, 5655, 31982, 277, 5952, 271, 4375, 275, 1688, 563, 9616, 602, 24263, 6959, 949, 2049, 267, 865, 2141, 2638, 519, 2164, 563, 8196, 713, 2985, 547, 1451, 875, 547, 6460, 1063, 8813, 543, 1688, 1496, 12061, 25668, 710, 14073, 13911, 538, 707, 1378, 2338, 538, 519, 1106, 547, 6460, 519, 4559, 2336, 272, 2887, 547, 1688, 815, 476, 6858, 269, 276, 1688, 454, 273, 2887, 547, 1688, 815, 476, 13670, 1688, 454, 274, 2887, 547, 1688, 815, 476, 1708, 269, 276, 1688, 454, 275, 2887, 547, 1688, 815, 476, 17734, 1688, 454, 276, 2887, 547, 1688, 815, 476, 29876, 269, 276, 1688, 454, 277, 2887, 547, 1688, 815, 476, 28147, 1688, 454, 278, 2887, 547, 1688, 815, 476, 5325, 273, 269, 276, 1688, 454, 279, 2887, 547, 1688, 815, 476, 25851, 1688, 454, 280, 2887, 547, 1688, 815, 476, 2568, 278, 269, 276, 1688, 454, 1015, 2887, 547, 1688, 815, 476, 277, 4037, 1688, 454, 2791, 666, 798, 519, 9258, 1770, 7503, 689, 1688, 547, 2887, 267, 610, 4283, 1022, 1079, 4559, 2630, 912, 3519, 3200, 4462, 1080, 2593, 2488, 606, 2228, 7503, 9498, 585, 782, 2010, 540, 6482, 4559, 269, 1411, 666, 1265, 11973, 7503, 7515, 585, 16038, 4559, 267, 607, 1134, 607, 2296, 4559, 267, 9304, 267, 543, 824, 1239, 269, 7392, 538, 1770, 6698, 267, 31120, 267, 610, 2407, 4408, 585, 4559, 540, 3259, 267, 1858, 267, 2527, 267, 2604, 267, 543, 824, 2010, 269, 6201, 1331, 6515, 267, 10759, 267, 476, 1911, 4846, 267, 2475, 5714, 26412, 267, 476, 277, 262, 274, 2580, 476, 1015, 6149, 476, 275, 267, 12945, 4699, 267, 15432, 16302, 267, 10101, 267, 18253, 267, 3952, 829, 2034, 267, 543, 1082, 811, 256, 0, 310, 6504, 32184, 2549, 1228, 639, 20787, 691, 543, 1010, 1920, 10272, 519, 3703, 7467, 543, 941, 14952, 539, 676, 1018, 789, 4718, 269, 6969, 6028, 267, 20787, 691, 267, 945, 729, 1152, 8370, 267, 7768, 968, 18661, 568, 3776, 25083, 892, 538, 717, 5634, 607, 513, 10516, 547, 519, 3703, 7467, 563, 1103, 476, 4350, 276, 267, 519, 4436, 21917, 12070, 8583, 7768, 519, 670, 1993, 1962, 7564, 340, 27346, 6441, 1221, 538, 8956, 547, 713, 1747, 563, 763, 1884, 1335, 540, 26990, 657, 729, 7768, 538, 476, 4572, 271, 676, 519, 22459, 681, 2378, 6130, 2836, 548, 10937, 717, 6759, 1889, 345, 269, 898, 779, 23475, 1169, 1032, 538, 519, 2749, 781, 16873, 267, 538, 4395, 540, 519, 1488, 1723, 632, 13244, 3057, 17144, 269, 19415, 547, 519, 1884, 1335, 269, 0, 23727, 2361, 15143, 616, 1100, 3476, 3908, 547, 2757, 2257, 7740, 734, 339, 3736, 781, 13241, 15143, 616, 7317, 267, 2502, 267, 543, 3142, 4928, 2035, 547, 1272, 585, 1053, 563, 9336, 2875, 14560, 513, 2361, 7552, 267, 543, 609, 513, 2370, 4058, 267, 621, 666, 581, 6140, 1187, 543, 1970, 3613, 816, 585, 3610, 543, 669, 1653, 2158, 563, 3080, 540, 519, 1655, 1919, 827, 513, 13241, 2361, 7552, 568, 602, 621, 3947, 1053, 513, 4960, 547, 4019, 741, 4928, 1565, 547, 513, 1483, 3734, 3510, 269, 901, 2186, 540, 6278, 2337, 1053, 1294, 875, 4648, 946, 13241, 1142, 1554, 267, 543, 621, 849, 12987, 873, 547, 2015, 13241, 585, 741, 1378, 2104, 563, 4407, 538, 16512, 2361, 15143, 616, 3078, 31972, 29771, 547, 3367, 2859, 454, 6701, 1411, 606, 3447, 1807, 888, 7476, 5131, 2228, 1569, 547, 782, 938, 454, 18080, 543, 2200, 0, 10144, 945, 7985, 689, 2789, 7209, 616, 4079, 945, 2661, 609, 513, 12003, 7271, 602, 5249, 1134, 547, 7639, 519, 3520, 5558, 540, 6057, 538, 6689, 855, 568, 711, 2324, 607, 1134, 538, 513, 3339, 2937, 1604, 269, 2353, 2550, 609, 667, 2839, 7985, 547, 930, 6708, 267, 799, 2356, 11479, 873, 547, 1265, 8323, 269, 2368, 540, 891, 3029, 540, 8323, 616, 2635, 267, 971, 607, 21911, 267, 543, 930, 949, 581, 14432, 267, 971, 607, 1039, 11881, 1031, 547, 546, 3497, 519, 11213, 4606, 563, 5278, 1004, 609, 2789, 7209, 2408, 547, 1599, 7363, 543, 949, 711, 2933, 917, 602, 789, 723, 811, 982, 835, 7209, 269, 1358, 949, 581, 2111, 547, 1599, 693, 513, 1360, 1164, 1377, 693, 513, 2816, 267, 585, 3236, 267, 1247, 1346, 2673, 547, 873, 2631, 1919, 616, 711, 3339, 269, 1358, 949, 1599, 7363, 585, 1296, 543, 1287, 723, 513, 6433, 602, 4667, 547, 1020, 1360, 6385, 269, 4033, 1004, 609, 667, 2839, 723, 8373, 8647, 7363, 543, 723, 513, 1279, 1686, 540, 5626, 2042, 269, 1452, 1004, 949, 581, 8572, 547, 960, 547, 1489, 2933, 543, 991, 2789, 6413, 3074, 269, 898, 568, 1455, 585, 2576, 609, 667, 2839, 547, 1599, 693, 606, 5393, 1164, 1377, 538, 835, 1858, 610, 693, 835, 942, 543, 267, 598, 14287, 267, 547, 1599, 693, 513, 1360, 1970, 1377, 538, 1776, 1858, 610, 693, 1776, 942, 269, 901, 3762, 1346, 1472, 873, 1360, 7138, 1194, 543, 11821, 563, 24078, 713, 2376, 5363, 888, 18183, 2064, 568, 2556, 547, 3035, 1967, 538, 1272, 269, 2368, 2500, 6015, 4388, 1590, 581, 4553, 952, 596, 22992, 1616, 547, 2744, 22920, 538, 707, 960, 269, 1924, 875, 798, 596, 1628, 707, 6015, 602, 786, 960, 585, 596, 538, 1022, 3510, 286, 21231, 267, 1118, 606, 4674, 547 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6820, 2657, 30404, 5303, 630, 21203, 3951, 264, 8750, 9307, 513, 2698, 540, 5111, 476, 16020, 2929, 586, 523, 630, 4785, 259, 277, 269, 277, 2929, 265, 264, 547, 1902, 538, 3670, 12352, 547, 1020, 1007, 12468, 3058, 5061, 585, 13663, 543, 932, 698, 553, 8376, 267, 513, 6669, 585, 13663, 267, 543, 26129, 585, 21061, 630, 307, 289, 1916, 15675, 539, 547, 581, 14102, 585, 519, 2179, 540, 8946, 289, 476, 2767, 267, 5325, 272, 267, 30203, 630, 4785, 291, 476, 279, 4343, 267, 6812, 278, 264, 568, 519, 1788, 13886, 968, 15275, 2305, 543, 4406, 9179, 540, 15783, 26736, 7116, 1756, 661, 274, 700, 580, 1162, 585, 11550, 307, 3722, 25957, 892, 3366, 676, 3220, 269, 21193, 760, 565, 590, 3234, 784, 330, 565, 335, 603, 752, 267, 1763, 792, 7815, 540, 13571, 1512, 21954, 30472, 543, 29119, 12817, 7177, 3194, 12243, 267, 19739, 5588, 4488, 543, 674, 8379, 4488, 306, 267, 5549, 1421, 3567, 563, 22416, 7559, 568, 835, 540, 519, 1034, 7839, 11763, 3676, 538, 799, 936, 476, 1220, 2929, 5563, 2049, 12422, 5001, 269, 7351, 1884, 2711, 25106, 5061, 798, 711, 960, 1134, 1996, 4731, 25106, 21313, 269, 4165, 2711, 25106, 5061, 957, 676, 32485, 513, 23020, 1184, 538, 519, 21313, 267, 585, 1383, 267, 606, 11747, 3077, 267, 6466, 519, 3075, 1590, 581, 1808, 547, 519, 3077, 547, 2061, 6757, 2427, 2360, 269, 901, 23506, 10421, 568, 606, 31456, 685, 24933, 607, 3075, 15033, 15495, 609, 1507, 4719, 2242, 602, 2061, 519, 3075, 689, 11006, 269, 2290, 3070, 547, 3075, 4187, 568, 547, 1020, 1007, 5061, 1996, 1007, 9072, 269, 1717, 267, 3384, 1007, 5061, 568, 4101, 1317, 972, 616, 1906, 5078, 3075, 9072, 269, 589, 1007, 3075, 1374, 1935, 568, 2877, 547, 4228, 519, 27132, 540, 1884, 2711, 25106, 9072, 543, 519, 3075, 19070, 531, 547, 17908, 5892, 2150, 31189, 16426, 538, 519, 21313, 269, 5502, 540, 1210, 5061, 602, 957, 607, 20127, 540, 3077, 3252, 267, 5061, 2966, 607, 3940, 2554, 571, 1457, 267, 849, 1634, 607, 11550, 974, 565, 1736, 6874, 6635, 1326, 532, 932, 574, 10327, 610, 11550, 307, 3722, 338, 267, 666, 6861, 3077, 5946, 269, 634, 3940, 2554, 571, 1457, 960, 676, 554, 6359, 22326, 519, 2926, 553, 727, 630, 320, 3940, 1950, 1459, 538, 1169, 1591, 602, 6923, 9397, 1524, 2025, 610, 8697, 5946, 264, 547, 31358, 513, 3077, 3940, 269, 19871, 9714, 619, 616, 2966, 609, 835, 968, 8705, 3650, 892, 602, 25907, 519, 3077, 543, 1776, 602, 25907, 21866, 514, 661, 274, 14270, 848, 267, 513, 3940, 602, 7436, 824, 5946, 585, 12159, 269, 901, 1935, 814, 519, 5413, 602, 519, 3940, 9714, 619, 666, 12622, 9170, 593, 519, 3077, 267, 1510, 519, 19231, 540, 11006, 547, 4609, 1271, 585, 3077, 1599, 269, 4475, 267, 519, 3940, 9714, 619, 666, 581, 2966, 1996, 5946, 5892, 711, 2808, 607, 3075, 9072, 269, 11550, 307, 3722, 1884, 2711, 541, 10118, 9117, 593, 1007, 9072, 2429, 519, 21313, 1272, 4783, 1223, 581, 1271, 2645, 585, 519, 16701, 1709, 540, 13663, 269, 1717, 267, 1100, 1507, 2173, 1961, 9908, 11550, 307, 3722, 1884, 2711, 25106, 4867, 6818, 1317, 649, 3668, 1702, 540, 13663, 21313, 21866, 514, 661, 274, 14270, 1162, 267, 543, 1100, 3114, 968, 8705, 3650, 892, 568, 2139, 602, 666, 15313, 513, 21313, 21866, 514, 661, 274, 14270, 848, 585, 554, 6359, 22326, 519, 21313, 779, 2926, 553, 727, 563, 763, 1788, 6663, 547, 2697, 513, 3114, 2112, 3650, 4433, 264, 602, 666, 15313, 513, 21313, 21866, 514, 661, 274, 14270, 848, 4433, 264, 547, 31358, 513, 3077, 21313, 3940, 267, 799, 786, 13822, 513, 3760, 585, 519, 1374, 540, 3940, 2554, 571, 1457, 1884, 2711, 541, 10118, 563, 763, 674, 8379, 4488, 306, 2754, 630, 297, 3253, 264, 786, 30075, 513, 5399, 540, 3940, 9714, 619, 585, 3355, 9584, 269, 634, 19739, 5588, 4488, 4659, 630, 1320, 16233, 264, 786, 1685, 3940, 12159, 6901, 543, 519, 3940, 2554, 571, 1457, 11938, 540, 1246, 6823, 7135, 563, 763, 6820, 2657, 30404, 5303, 8750, 630, 21203, 3951, 8750, 1070, 2212, 32483, 1229, 538, 3567, 267, 568, 606, 3486, 1857, 17376, 10675, 11450, 1063, 519, 6554, 540, 3567, 630, 14737, 3588, 540, 14579, 16457, 543, 12080, 540, 2657, 267, 23267, 543, 28054, 1070, 476, 1626, 3056, 14453, 543, 26129, 3549, 267, 519, 4270, 2492, 11565, 543, 2136, 8315, 4886, 19510, 630, 7419, 7894, 1040, 898, 7482, 3621, 1382, 543, 1646, 585, 4550, 29795, 1161, 543, 26129, 585, 3676, 602, 5097, 1860, 519, 3384, 1158, 269, 0, 24426, 828, 9798, 269, 31427, 269, 27725, 619, 269, 2480, 776, 1913, 267, 1318, 286, 10251, 649, 4312, 1044, 6217, 1932, 1454, 25015, 827, 6880, 6760, 267, 26030, 2264, 6285, 267, 543, 513, 3984, 540, 824, 2152, 602, 1118, 721, 1745, 811, 7925, 543, 1447, 8746, 538, 938, 2228, 3106, 267, 15029, 693, 519, 1482, 942, 267, 585, 1732, 610, 8338, 267, 811, 540, 938, 2729, 1847, 2228, 269, 6056, 12948, 543, 10918, 267, 538, 1880, 267, 607, 1134, 607, 782, 519, 2123, 1344, 602, 6818, 593, 938, 1514, 2923, 267, 538, 938, 4357, 7391, 267, 543, 15737, 563, 2171, 991, 547, 2253, 547, 1174, 543, 547, 2057, 782, 519, 2228, 20637, 602, 666, 4734, 721, 1930, 543, 7925, 547, 1085, 27980, 543, 21190, 267, 585, 1383, 912, 29490, 2638, 519, 30699, 540, 1022, 4757, 602, 3568, 513, 3095, 267, 543, 1118, 2386, 621, 568, 689, 513, 11967, 2707, 269, 5871, 15361, 1085, 27980, 786, 946, 568, 547, 6494, 606, 4757, 17729, 547, 581, 689, 267, 585, 1383, 267, 707, 4871, 267, 609, 513, 3095, 547, 513, 16995, 3135, 602, 786, 2307, 596, 547, 4283, 707, 3877, 538, 606, 3801, 547, 21102, 2123, 1344, 267, 18538, 610, 1256, 12948, 3877, 269, 1411, 1522, 2638, 519, 30699, 540, 519, 4757, 543, 1265, 602, 519, 4757, 1281, 711, 5330, 547, 606, 4013, 552, 17733, 2232, 269, 901, 2186, 540, 8945, 568, 1634, 607, 513, 26122, 4323, 563, 10673, 1405, 3643, 267, 4647, 4376, 689, 267, 610, 4283, 1022, 1344, 593, 1022, 19796, 1190, 3896, 269, 5700, 1141, 596, 616, 543, 1141, 596, 2811, 2469, 2228, 563, 8196, 2178, 267, 1279, 267, 2189, 18538, 267, 5627, 513, 7848, 540, 5022, 267, 2338, 543, 6698, 269, 5213, 1405, 19074, 18538, 585, 2789, 4609, 267, 610, 946, 2241, 18538, 563, 7661, 267, 1376, 1210, 1079, 29969, 17452, 585, 782, 707, 4609, 602, 2270, 6213, 1344, 563, 1432, 568, 1079, 29969, 17452, 286, 1879, 707, 4871, 267, 707, 21888, 2272, 267, 610, 5616, 2272, 267, 585, 1383, 267, 2154, 596, 547, 6166, 707, 3961, 3842, 513, 1257, 539, 610, 4757, 539, 3009, 267, 602, 781, 1079, 29969, 17452, 269, 898, 814, 513, 1297, 540, 3029, 267, 1519, 8924, 899, 5616, 8076, 1807, 267, 855, 1257, 539, 9479, 1869, 3100, 547, 581, 519, 1034, 1455, 269, 10251, 267, 9039, 540, 891, 1949, 616, 18174, 16513, 910, 606, 1383, 540, 519, 16426, 609, 621, 568, 602, 540, 834, 13678, 1606, 342, 6260, 2580, 513, 1106, 540, 1514, 4702, 17929, 513, 11360, 518, 786, 3346, 707, 6049, 15298, 5910, 2056, 547, 581, 596, 543, 18609, 873, 547, 23396, 707, 1297, 547, 1776, 1138, 267, 799, 789, 4865, 269, 1358, 666, 7551, 4309, 519, 1257, 539, 3009, 585, 707, 570, 11902, 269, 901, 568, 711, 2527, 1947, 1455, 267, 543, 568, 2352, 585, 519, 1085, 600, 1067, 547, 7485, 1055, 267, 855, 621, 1281, 4755, 267, 543, 666, 581, 14042, 563, 13295, 910, 962, 889, 4815, 267, 543, 741, 1079, 29969, 17452, 10569, 269, 1452, 2370, 16921, 616, 835, 540, 519, 1034, 2241, 2943, 2500, 3029, 540, 1079, 29969, 17452, 543, 2228, 4027, 4867, 2139, 269, 2353, 596, 798, 568, 3442, 707, 962, 889, 328, 7659, 607, 707, 570, 11902, 4781, 538, 519, 5468, 540, 707, 2272, 630, 31347, 621, 781, 8835, 267, 9365, 267, 21888, 267, 8726, 267, 519, 962, 889, 328, 7659, 1568, 609, 513, 21318, 540, 5867, 1070, 11690, 621, 538, 267, 543, 950, 19430, 693, 21189, 267, 596, 1175, 5905, 707, 962, 889, 328, 7659, 267, 543, 21350, 10042, 256, 3143, 991, 547, 723, 707, 6049, 547, 1688, 543, 7227, 585, 513, 1257, 267, 610, 547, 1930, 707, 4757, 543, 5299, 513, 3009, 269, 1703, 781, 1945, 827, 602, 2168, 2962, 540, 2965, 15700, 513, 1883, 547, 21189, 602, 1175, 7959, 5150, 543, 3947, 513, 4708, 540, 2247, 269, 7937, 267, 543, 1705, 649, 2446, 602, 5616, 723, 1044, 1210, 891, 585, 741, 5520, 585, 513, 1247, 267, 543, 723, 2016, 873, 1079, 555, 29304, 909, 286, 6744, 602, 856, 1934, 563, 763, 3059, 1158, 568, 4657, 267, 543, 649, 991, 547, 1491, 621, 12517, 269, 1306, 540, 2943, 649, 10093, 1405, 1336, 513, 1587, 602, 568, 607, 2500, 693, 2228, 3354, 607, 962, 889, 328, 7659, 269, 16731, 873, 593, 962, 889, 4815, 2593, 610, 3643, 741, 8835, 4558, 2630, 547, 1294, 811, 912, 5278, 540, 519, 2039, 540, 962, 889, 328, 7659, 3681, 912, 17582, 609, 5985, 3457, 1932, 912, 1607, 4528, 609, 31937, 6284, 568, 4947, 4166, 281, 0, 763, 2136, 8315, 4937, 13909, 630, 7419, 16598, 264, 10294, 519, 4139, 5729, 540, 19676, 476, 1220, 275, 1282, 922, 476, 6872, 628, 29140, 538, 5412, 476, 1220, 273, 269, 634, 11428, 540, 606, 4139, 5729, 547, 513, 2582, 7693, 729, 13778, 538, 6167, 16598, 779, 1686, 269, 769, 30418, 519, 5729, 267, 519, 4937, 13909, 14751, 539, 519, 991, 547, 1445, 1158, 3007, 593, 519, 1909, 602, 7573, 666, 1404, 538, 3246, 1426, 3354, 543, 16701, 21899, 6710, 563, 763, 594, 13612, 5240, 12072, 5292, 269, 476, 7871, 3568, 5631, 519, 1883, 17084, 543, 4574, 4843, 1282, 519, 2034, 1554, 540, 519, 4139, 19676, 10985, 267, 799, 941, 4843, 676, 7986, 3744, 543, 8128, 538, 7573, 1382, 543, 1646, 538, 1931, 547, 2671, 519, 1699, 1702, 267, 2219, 543, 22649, 585, 4264, 7573, 2504, 1949, 269, 634, 594, 13612, 5240, 12072, 5292, 269, 476, 7871, 6663, 547, 3035, 519, 1455, 6662, 540, 519, 6388, 540, 519, 4139, 5729, 540, 19676, 912, 763, 4139, 5729, 540, 19676, 8992, 4824, 2504, 543, 1569, 547, 713, 4105, 1426, 7693, 267, 799, 20555, 811, 982, 3368, 540, 519, 1158, 2551, 1247, 3246, 4747, 585, 6634, 540, 7573, 12696, 2676, 15263, 832, 543, 18318, 269, 634, 1646, 540, 4264, 7573, 2861, 1949, 786, 2569, 14000, 543, 6710, 543, 3565, 547, 2825, 5726, 543, 513, 1732, 1272, 585, 1459, 543, 2104, 454, 10090, 725, 585, 7247, 19676, 568, 5020, 269, 0, 13142, 19714, 3131, 9469, 16500, 2006, 267, 683, 324, 23770, 3131, 9469, 267, 729, 4535, 538, 476, 5908, 271, 538, 19134, 5112, 267, 1230, 333, 2045, 583, 269, 19759, 569, 267, 1352, 8149, 11980, 538, 476, 4350, 276, 538, 17131, 611, 6511, 4993, 269, 4173, 4651, 779, 1920, 729, 5266, 1134, 4448, 267, 855, 1200, 4651, 2451, 519, 1920, 950, 1352, 729, 1762, 267, 6028, 1200, 3993, 547, 3142, 909, 519, 1079, 1453, 269, 4173, 3993, 729, 7142, 547, 1847, 1472, 513, 2603, 547, 1265, 960, 543, 23770, 779, 2069, 11124, 1317, 540, 602, 563, 22818, 1317, 540, 1200, 4101, 6689, 267, 23770, 2968, 513, 1514, 6963, 518, 543, 15594, 543, 729, 5461, 538, 2417, 532, 519, 2797, 4690, 540, 2021, 269, 2701, 8547, 513, 15594, 4760, 634, 5983, 14725, 1676, 689, 476, 5002, 280, 563, 763, 14117, 9931, 17549, 568, 1200, 1655, 1634, 1650, 543, 729, 3370, 538, 476, 6245, 273, 269, 2701, 849, 5206, 1875, 27395, 1034, 16113, 267, 6468, 543, 13188, 799, 729, 3370, 538, 476, 6245, 279, 269, 634, 14117, 9931, 17549, 729, 2965, 9210, 28964, 476, 272, 540, 519, 25839, 26415, 12267, 23093, 4751, 563, 15463, 1101, 7365, 729, 547, 606, 7376, 1572, 8176, 853, 1115, 517, 538, 476, 6642, 275, 693, 519, 2085, 540, 476, 2190, 269, 634, 7365, 729, 711, 6126, 543, 1352, 11124, 689, 4965, 269, 898, 568, 1767, 602, 713, 4576, 3177, 1454, 540, 519, 1570, 585, 634, 14117, 9931, 17549, 267, 543, 952, 1352, 729, 7092, 689, 4965, 609, 2618, 5328, 2934, 267, 713, 1131, 17063, 538, 1360, 1134, 609, 519, 536, 11170, 19128, 1642, 16272, 827, 519, 3774, 17549, 543, 519, 1919, 538, 621, 269, 901, 568, 24188, 540, 634, 9710, 5055, 676, 519, 3943, 5856, 24053, 632, 31410, 10139, 656, 267, 799, 568, 9210, 28964, 476, 3374, 540, 519, 25839, 26415, 12267, 23093, 4751, 269, 634, 9710, 5055, 729, 3370, 538, 476, 6642, 278, 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 ]

[ 0, 320, 25507, 9272, 3488, 10938, 519, 1297, 540, 2053, 596, 1616, 547, 1820, 519, 2262, 10807, 3418, 321, 284, 6358, 3488, 10938, 519, 2262, 262, 10142, 6112, 5416, 256, 284, 271, 8029, 13537, 6600, 262, 346, 321, 348, 20298, 453, 320, 30381, 268, 272, 0, 5814, 4351, 1477, 320, 284, 6358, 2891, 11767, 3593, 476, 272, 781, 3903, 20257, 12294, 14052, 2745, 2891, 11960, 265, 290, 4047, 288, 16249, 10691, 20231, 8582, 3633, 7052, 30995, 315, 333, 14826, 14826, 257, 265, 1911, 3418, 321, 284, 12690, 27110, 263, 272, 267, 273, 3418, 604, 6357, 2525, 272, 8029, 453, 321, 6889, 13702, 29177, 19197, 6357, 2525, 273, 8029, 453, 321, 6889, 17549, 29177, 12828, 6769, 453, 321, 6889, 2675, 1170, 528, 29177, 604, 513, 6769, 14851, 536, 6769, 453, 14851, 5416, 2525, 321, 8029, 567, 4848, 567, 1820, 2891, 2316, 292, 14744, 258, 4629, 290, 298, 1477, 453, 453, 19197, 513, 2525, 257, 13702, 257, 6769, 4848, 14851, 536, 2525, 257, 17549, 257, 6769, 15235, 13537, 2891, 289, 654, 1231, 14744, 4848, 453, 19197, 536, 2525, 257, 2675, 1170, 528, 257, 6769, 15235, 13537, 2891, 288, 654, 27486, 14744, 4848, 28432, 6769, 15235, 13537, 2891, 1103, 20777, 3403, 14744, 258, 303, 4338, 2207, 1477, 453, 453, 19197, 513, 2525, 257, 17549, 257, 6769, 4848, 14851, 536, 2525, 257, 13702, 257, 6769, 15235, 13537, 2891, 288, 654, 1231, 14744, 4848, 453, 19197, 536, 2525, 257, 2675, 1170, 528, 257, 6769, 15235, 13537, 2891, 289, 654, 27486, 14744, 4848, 28432, 6769, 15235, 13537, 2891, 1103, 20777, 3403, 14744, 258, 17092, 3041, 306, 3036, 1477, 453, 453, 19197, 513, 2525, 257, 2675, 1170, 528, 257, 6769, 4848, 14851, 536, 2525, 257, 13702, 257, 6769, 15235, 13537, 2891, 289, 654, 27486, 14744, 4848, 453, 19197, 536, 2525, 257, 17549, 257, 6769, 15235, 13537, 2891, 288, 654, 27486, 14744, 4848, 28432, 6769, 15235, 13537, 2891, 1103, 20777, 3403, 14744, 453, 28432, 6769, 4848, 13537, 2891, 1103, 20777, 18452, 269, 8923, 2119, 1586, 14744, 28432, 6769, 453, 13537, 2891, 16651, 476, 273, 9373, 1945, 14744, 12828, 6769, 1820, 2891, 5522, 16558, 4283, 1945, 14744, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 11205, 9484, 476, 2918, 476, 4905, 281, 2918, 281, 2412, 476, 1001, 279, 5897, 287, 10461, 281, 2494, 328, 1477, 18851, 5897, 26611, 16535, 270, 7090, 274, 5897, 5814, 15259, 1477, 5814, 19523, 5897, 258, 1477, 258, 13159, 519, 942, 3519, 11437, 1599, 2630, 23228, 258, 1477, 3698, 942, 3519, 11437, 4433, 8029, 825, 521, 272, 815, 630, 338, 11468, 268, 273, 29573, 825, 533, 815, 834, 29177, 825, 521, 273, 815, 521, 15631, 273, 281, 15947, 825, 952, 630, 338, 273, 2652, 1412, 4456, 262, 8029, 1038, 952, 4433, 11468, 273, 316, 2652, 1412, 1321, 262, 8029, 2018, 533, 815, 1193, 3488, 876, 262, 1341, 521, 314, 273, 281, 279, 29573, 1038, 3116, 6769, 2018, 533, 815, 521, 11468, 268, 273, 15947, 825, 8640, 4433, 273, 2652, 1412, 15014, 262, 8029, 1038, 952, 4433, 11468, 273, 316, 2652, 1412, 1321, 262, 8029, 2018, 533, 815, 521, 11468, 268, 273, 15947, 1038, 3116, 6769, 2018, 533, 815, 1193, 17301, 4433, 11468, 273, 8079, 1341, 476, 1321, 3738, 1341, 521, 314, 273, 281, 279, 15947, 825, 2132, 533, 5897, 1363, 1477, 825, 1948, 1477, 825, 1948, 3503, 707, 3009, 1934, 23228, 825, 1948, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 535, 815, 1930, 263, 657, 269, 523, 1333, 9131, 5495, 9143, 7473, 318, 303, 26059, 28710, 1412, 342, 262, 10142, 825, 521, 815, 3403, 31476, 825, 1267, 815, 942, 3519, 11437, 4433, 10142, 825, 535, 22182, 31114, 1341, 1412, 315, 333, 262, 10142, 825, 535, 25379, 14052, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5814, 3009, 14369, 454, 5814, 942, 692, 5035, 6478, 12385, 337, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 32197, 2187, 1038, 609, 3009, 14369, 269, 13449, 6600, 32327, 267, 1412, 337, 3299, 17683, 8782, 583, 325, 279, 10807, 607, 535, 912, 2018, 1257, 815, 535, 18667, 4590, 1038, 1582, 25915, 815, 7003, 29495, 21858, 28361, 337, 14826, 10807, 314, 271, 7481, 1038, 1582, 4732, 13645, 815, 20886, 271, 585, 1535, 538, 2039, 4311, 25915, 13580, 585, 1535, 538, 2039, 4311, 25915, 22708, 1038, 585, 1775, 538, 2039, 4311, 25915, 2187, 2018, 585, 795, 538, 2039, 4311, 25915, 2187, 3546, 1582, 4732, 13645, 5157, 6012, 329, 316, 815, 1257, 21858, 28361, 337, 14826, 10807, 314, 328, 6012, 329, 4940, 523, 13892, 3488, 583, 325, 279, 5073, 1038, 2132, 692, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 2132, 1582, 25915, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 3977, 815, 1412, 7055, 1038, 585, 1775, 538, 2039, 4311, 25915, 2187, 2018, 585, 795, 538, 2039, 4311, 25915, 2187, 3546, 3977, 6834, 1582, 4732, 13645, 5157, 6012, 329, 2639, 3546, 3977, 6834, 1412, 1412, 454, 2018, 3977, 6834, 1412, 315, 333, 7055, 1038, 2132, 3977, 7531, 5035, 6478, 13729, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 32197, 2187, 1038, 1582, 269, 5320, 3553, 815, 1305, 4590, 1038, 609, 1930, 6600, 32327, 267, 1412, 337, 10807, 607, 535, 912, 2018, 585, 2262, 538, 535, 912, 3546, 1582, 269, 5320, 3553, 14491, 27182, 18622, 2897, 28361, 333, 3299, 1412, 10807, 9239, 3698, 3406, 4433, 267, 589, 267, 645, 267, 1775, 267, 795, 2187, 825, 521, 6834, 630, 288, 5157, 6012, 329, 7481, 825, 952, 630, 6352, 4433, 8358, 273, 264, 2652, 2450, 912, 1038, 952, 521, 538, 1305, 318, 6919, 269, 5320, 3553, 912, 3546, 1820, 521, 267, 795, 266, 272, 267, 1775, 266, 272, 454, 3546, 2132, 454, 1038, 2132, 692, 825, 645, 5157, 6012, 329, 316, 815, 476, 272, 454, 825, 952, 1775, 2999, 7003, 10490, 9984, 272, 912, 1038, 952, 645, 5157, 266, 272, 6012, 329, 316, 2652, 476, 271, 912, 2018, 3406, 4433, 267, 589, 267, 645, 267, 1775, 266, 272, 267, 795, 994, 22322, 825, 952, 795, 2999, 7003, 10490, 9984, 272, 912, 1038, 952, 645, 5157, 6012, 272, 266, 329, 316, 2652, 476, 271, 912, 2018, 3406, 4433, 267, 589, 267, 645, 267, 1775, 267, 795, 266, 272, 2020, 825, 952, 1775, 3436, 476, 271, 912, 1038, 952, 645, 5157, 268, 272, 6012, 329, 316, 2652, 476, 271, 912, 2018, 3406, 4433, 267, 589, 267, 645, 267, 1775, 268, 272, 267, 795, 994, 2018, 454, 825, 952, 795, 3436, 476, 271, 912, 1038, 952, 645, 5157, 6012, 329, 268, 272, 316, 2652, 476, 271, 912, 2018, 3406, 4433, 267, 589, 267, 645, 267, 1775, 267, 795, 268, 272, 994, 825, 645, 5157, 6012, 329, 316, 815, 476, 271, 454, 825, 2132, 7531, 3698, 979, 10031, 825, 589, 815, 6478, 12385, 337, 3488, 338, 13645, 17902, 5073, 825, 2518, 1305, 318, 6919, 454, 825, 2518, 2450, 454, 825, 1305, 318, 6919, 815, 6478, 13729, 3488, 3667, 17902, 5073, 825, 645, 815, 20886, 271, 585, 1535, 538, 2039, 12759, 10490, 4297, 316, 585, 1535, 538, 2039, 12759, 10490, 4297, 2639, 825, 521, 815, 1412, 7055, 825, 585, 2450, 538, 2039, 263, 276, 267, 476, 1321, 2187, 1038, 585, 1775, 538, 2039, 12759, 10490, 15892, 2018, 585, 795, 538, 2039, 12759, 10490, 15892, 3546, 3406, 4433, 267, 589, 4732, 13645, 267, 645, 267, 1775, 267, 795, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 4626, 652, 2086, 815, 942, 28333, 4590, 825, 979, 4590, 825, 1820, 942, 28333, 3890, 910, 4626, 652, 2086, 454, 0, 258, 589, 7097, 602, 1568, 538, 5124, 476, 274, 630, 341, 274, 269, 277, 994, 16482, 258, 634, 7097, 7024, 4408, 585, 513, 4351, 10516, 5385, 1141, 454, 258, 1142, 18579, 568, 9444, 519, 575, 1853, 6862, 519, 575, 1853, 781, 7649, 563, 16482, 258, 14871, 4433, 264, 4283, 4408, 538, 519, 4971, 1899, 267, 1287, 1412, 17380, 23823, 258, 634, 7097, 1287, 4051, 338, 3755, 547, 1413, 693, 519, 5496, 454, 258, 835, 27408, 8584, 6066, 547, 973, 10079, 741, 18579, 780, 5814, 4351, 267, 15259, 692, 3698, 2189, 12173, 28442, 8217, 267, 7649, 15058, 284, 5257, 2187, 825, 23288, 825, 1599, 19776, 3403, 2012, 547, 1699, 2012, 8217, 547, 2638, 602, 519, 7127, 568, 2189, 692, 825, 2012, 8217, 476, 2433, 1592, 540, 4408, 2907, 9411, 692, 825, 7649, 15058, 2433, 2012, 540, 1268, 781, 7649, 267, 952, 9138, 454, 825, 15981, 692, 825, 1948, 1711, 6366, 1592, 540, 782, 4408, 454, 825, 1592, 8217, 815, 1496, 14403, 952, 568, 27349, 263, 14403, 267, 1592, 264, 3116, 1496, 14403, 316, 585, 6221, 538, 2012, 8217, 2639, 825, 2012, 8217, 318, 29788, 815, 1496, 14403, 585, 1016, 4289, 538, 1592, 8217, 585, 6221, 538, 1016, 4289, 6540, 825, 1948, 568, 713, 1268, 2576, 781, 7649, 888, 825, 952, 7649, 15058, 2652, 1412, 12466, 1038, 568, 318, 4820, 1676, 815, 8771, 454, 825, 3116, 912, 1038, 568, 318, 4820, 1676, 815, 6936, 7531, 825, 1247, 6936, 1384, 1038, 1948, 1491, 3403, 2012, 454, 1038, 952, 568, 318, 4820, 1676, 281, 3097, 2018, 3403, 12173, 815, 1193, 9272, 2891, 11767, 519, 2012, 540, 4939, 338, 781, 7649, 26142, 333, 24257, 834, 4939, 7649, 15058, 4917, 1038, 3116, 281, 3097, 2018, 3403, 12173, 815, 1193, 9272, 19629, 333, 11767, 513, 2012, 630, 528, 1412, 17380, 262, 1040, 315, 333, 24257, 834, 11723, 1038, 1948, 1152, 1491, 513, 2012, 3403, 602, 3884, 1405, 2907, 538, 938, 1592, 454, 1038, 952, 3403, 12173, 538, 2012, 8217, 318, 29788, 912, 2018, 1820, 2891, 28989, 267, 4939, 338, 568, 2907, 538, 519, 1592, 269, 7490, 4283, 2189, 4408, 1701, 4939, 3403, 12173, 994, 2018, 3136, 454, 1038, 3116, 281, 3097, 2018, 2736, 692, 825, 2132, 3403, 12173, 7531, 3698, 5385, 5332, 1868, 28442, 8217, 2187, 825, 23288, 825, 1599, 7024, 513, 8675, 12805, 575, 1392, 547, 23700, 692, 825, 2012, 8217, 2433, 513, 1592, 540, 4408, 543, 5924, 8424, 540, 4408, 547, 581, 22121, 454, 825, 15981, 692, 825, 14286, 815, 476, 271, 454, 825, 1247, 6936, 1384, 1038, 2119, 912, 2018, 4758, 18380, 815, 31460, 2018, 1592, 8217, 815, 1496, 14403, 952, 568, 27349, 263, 14403, 267, 1592, 264, 3116, 1496, 14403, 316, 585, 6221, 538, 2012, 8217, 2639, 2018, 4408, 15461, 14682, 633, 815, 1496, 14403, 585, 1016, 4289, 538, 1592, 8217, 585, 6221, 538, 1016, 4289, 2639, 2018, 585, 2012, 538, 2012, 8217, 912, 27030, 3546, 952, 568, 27349, 28442, 267, 1592, 2187, 4449, 8931, 7386, 7649, 272, 815, 2012, 314, 271, 2639, 7386, 7649, 273, 815, 2012, 314, 272, 6540, 7386, 4408, 15461, 14682, 633, 272, 815, 4408, 15461, 14682, 633, 6983, 4878, 4590, 7386, 2119, 281, 4408, 15461, 14682, 633, 272, 31927, 263, 4820, 1676, 272, 994, 7386, 4849, 28759, 281, 1780, 454, 7386, 2119, 281, 4408, 15461, 14682, 633, 272, 31927, 263, 4820, 1676, 273, 994, 7386, 4849, 28759, 281, 1780, 454, 7386, 2285, 15461, 318, 272, 815, 4351, 26716, 4069, 3799, 1868, 15461, 14682, 633, 272, 994, 7386, 4408, 15461, 14682, 633, 31927, 14116, 633, 15461, 318, 272, 994, 7386, 4758, 18380, 314, 4820, 1676, 272, 316, 815, 2285, 15461, 318, 272, 692, 7386, 4408, 15461, 14682, 633, 273, 815, 4408, 15461, 14682, 633, 6983, 4878, 4590, 7386, 2119, 281, 4408, 15461, 14682, 633, 273, 31927, 263, 4820, 1676, 273, 994, 7386, 4849, 28759, 281, 1780, 454, 7386, 2119, 281, 4408, 15461, 14682, 633, 273, 31927, 263, 4820, 1676, 272, 994, 7386, 4849, 28759, 281, 1780, 454, 7386, 2285, 15461, 318, 273, 815, 4351, 26716, 4069, 3799, 1868, 15461, 14682, 633, 273, 994, 7386, 4408, 15461, 14682, 633, 31927, 14116, 633, 15461, 318, 273, 994, 7386, 4758, 18380, 314, 4820, 1676, 273, 316, 815, 2285, 15461, 318, 273, 692, 3546, 3116, 1384, 7386, 4408, 15461, 14682, 633, 318, 815, 4408, 15461, 14682, 633, 6983, 4878, 4590, 7386, 2119, 281, 4408, 15461, 14682, 633, 318, 269, 24525, 28442, 994, 7386, 4849, 28759, 281, 1780, 454, 7386, 2285, 15461, 815, 4351, 26716, 4069, 3799, 1868, 15461, 14682, 633, 318, 994, 7386, 4408, 15461, 14682, 633, 31927, 14116, 633, 15461, 994, 7386, 4758, 18380, 314, 4067, 316, 815, 2285, 15461, 454, 4449, 454, 2018, 2736, 692, 1038, 4849, 12039, 13286, 912, 2018, 14286, 6834, 476, 272, 454, 2018, 952, 14286, 3436, 476, 1911, 271, 281, 3097, 3546, 1820, 2891, 293, 9229, 476, 1911, 271, 2053, 269, 3657, 596, 2386, 621, 568, 2009, 547, 3651, 23700, 896, 519, 1412, 8253, 31313, 262 ]

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

[ 19752, 519, 1210, 540, 18565, 267, 12449, 543, 6163, 585, 1357, 2985, 1374, 269, 898, 568, 5393, 1114, 547, 3896, 1646, 267, 602, 2115, 1152, 3850, 519, 12383, 610, 6337, 269, 18753, 1374, 568, 513, 3787, 811, 5461, 538, 14139, 10659, 540, 1379, 2645, 547, 1265, 606, 3310, 269, 13583, 20445, 786, 1419, 849, 1711, 5961, 267, 799, 941, 1500, 547, 1599, 607, 519, 1439, 1267, 585, 519, 1357, 21935, 269, 901, 568, 1018, 779, 1572, 3896, 2592, 563, 20329, 1670, 2511, 543, 1374, 568, 827, 875, 519, 1357, 9858, 1289, 547, 2247, 513, 1880, 7553, 3330, 21951, 269, 898, 15320, 513, 2370, 689, 1462, 2762, 267, 538, 713, 1357, 9367, 3921, 27274, 946, 12449, 538, 1747, 540, 2262, 532, 269, 16723, 2511, 568, 3226, 3351, 2213, 538, 1357, 4609, 6322, 4724, 3214, 269, 2368, 540, 519, 1034, 1134, 2000, 27419, 2375, 633, 11768, 5773, 1500, 946, 540, 593, 519, 4950, 4125, 476, 274, 291, 9698, 11708, 267, 5546, 267, 13462, 267, 19347, 12449, 543, 11269, 563, 2304, 4296, 11768, 5748, 5161, 540, 519, 17052, 7282, 7270, 267, 799, 1106, 519, 1357, 1646, 269, 19983, 9858, 3132, 519, 5075, 16853, 602, 5561, 786, 1205, 4448, 547, 269, 19983, 9755, 3335, 4217, 1357, 26292, 267, 585, 1383, 594, 1547, 661, 1547, 543, 594, 324, 269, 1358, 786, 2693, 849, 960, 609, 524, 916, 267, 971, 607, 16735, 335, 1137, 543, 31964, 563, 16158, 21935, 9858, 949, 1616, 547, 1118, 513, 3896, 2985, 11768, 2348, 513, 654, 312, 10485, 310, 312, 294, 630, 1492, 1587, 538, 2243, 568, 519, 2626, 264, 1935, 610, 1256, 513, 18044, 1935, 269, 5637, 540, 891, 3435, 723, 741, 1378, 11393, 543, 5383, 269, 634, 1483, 3017, 689, 707, 654, 312, 10485, 310, 312, 294, 11768, 607, 1134, 607, 513, 595, 2444, 8172, 6163, 18694, 3898, 568, 2141, 602, 1369, 519, 2034, 267, 519, 1374, 568, 17411, 609, 519, 22898, 6042, 267, 538, 4334, 547, 3330, 5449, 267, 606, 1439, 3593, 666, 4137, 856, 875, 519, 3896, 5654, 547, 873, 269, 5637, 2081, 616, 4122, 1031, 267, 855, 972, 616, 2965, 654, 312, 10485, 310, 312, 294, 4950, 3817, 799, 711, 723, 519, 2838, 5872, 547, 2327, 789, 616, 4277, 543, 19788, 596, 563, 2026, 13890, 1657, 267, 1034, 3135, 9858, 946, 3833, 513, 1906, 5773, 585, 1818, 1357, 3135, 1374, 269, 901, 1797, 602, 519, 5106, 540, 9591, 513, 3896, 568, 2944, 1454, 811, 2352, 950, 1142, 1505, 568, 1031, 269, 901, 568, 1946, 267, 1357, 21935, 9858, 786, 1419, 16926, 824, 9952, 3896, 9858, 602, 786, 948, 1247, 1210, 519, 1966, 9010, 5650, 269, 901, 786, 4217, 581, 2386, 602, 513, 4305, 786, 4440, 581, 6192, 3330, 513, 4015, 3259, 540, 942, 563, 763, 4644, 540, 2553, 949, 711, 581, 896, 1998, 4240, 269, 9453, 835, 267, 621, 949, 581, 4101, 547, 1711, 3896, 3817, 799, 666, 581, 4277, 543, 851, 1136, 269, 589, 1357, 14704, 786, 1118, 946, 540, 1896, 2409, 547, 3132, 519, 11768, 540, 1357, 3817, 269, 589, 24077, 3896, 1374, 2754, 786, 3815, 538, 1142, 540, 519, 2565, 4145, 950, 23115, 856, 519, 1249, 602, 1357, 2985, 1522, 581, 9112, 543, 11231, 2228, 563, 3080, 540, 519, 4105, 4145, 799, 616, 2813, 676, 3135, 9858, 568, 1462, 2762, 269, 634, 1462, 2762, 13166, 1031, 593, 513, 1357, 3135, 2511, 543, 1374, 666, 948, 707, 5467, 3313, 1018, 519, 2546, 568, 782, 827, 269, 1403, 513, 3593, 2824, 338, 519, 2985, 267, 789, 786, 581, 2111, 547, 917, 1360, 1134, 1018, 519, 3896, 568, 782, 827, 543, 1946, 789, 2461, 9363, 9859, 547, 621, 269, 3509, 2053, 267, 1462, 2762, 568, 2808, 10750, 543, 3274, 865, 950, 606, 1310, 2288, 339, 563, 15987, 3896, 1374, 1568, 936, 513, 2603, 540, 5867, 267, 1357, 9858, 786, 1034, 2693, 1616, 547, 1628, 1357, 3817, 602, 616, 2938, 9001, 513, 2189, 2039, 540, 1949, 269, 1452, 3335, 4125, 6755, 267, 7392, 2183, 267, 543, 31418, 1176, 3560, 762, 7797, 28081, 618, 630, 14457, 1040, 4634, 1498, 1142, 543, 1169, 5748, 723, 741, 1378, 979, 883, 9949, 813, 2497, 267, 789, 949, 3442, 547, 1332, 741, 3896, 7311, 519, 1034, 5078, 813, 5888, 585, 10540, 1756, 269, 3509, 26767, 1205, 519, 2816, 2944, 3444, 3760, 789, 3132, 4950, 4609, 23622, 593, 3875, 2010, 269, 4856, 1676, 3301, 11144, 2337, 547, 2569, 17683, 1350, 9662, 543, 4679, 519, 1719, 2557, 540, 519, 3356, 2259, 563, 288, 3803, 2272, 538, 2121, 1439, 3593, 543, 1374, 1995, 11768, 568, 5493, 22863, 269, 5680, 3135, 9858, 3622, 8415, 3875, 4778, 538, 3384, 741, 4950, 7270, 269, 966, 2320, 656, 2681, 725, 786, 1419, 581, 13603, 856, 585, 4950, 4609, 2519, 593, 513, 7820, 15624, 2094, 789, 616, 1454, 4443, 547, 1224, 998, 269, 2859, 1950, 2681, 14565, 538, 1082, 2665, 616, 1031, 676, 7270, 17935, 585, 513, 2484, 811, 9921, 19458, 563, 2252, 596, 723, 1022, 28780, 17640, 547, 1141, 543, 875, 596, 666, 8415, 1357, 1374, 1608, 326, 776, 267, 596, 1223, 3346, 721, 693, 938, 1378, 1357, 2985, 563, 19675, 596, 581, 16994, 593, 519, 1543, 538, 713, 1543, 267, 2630, 616, 513, 1906, 811, 3817, 543, 9708, 609, 2147, 4930, 281, 0, 1432, 1281, 707, 1647, 1153, 1126, 1451, 693, 1153, 286, 2755, 1034, 540, 873, 1451, 2296, 543, 4569, 267, 1919, 616, 1114, 693, 5062, 5141, 842, 1442, 5664, 3427, 538, 7532, 23770, 269, 14520, 628, 17263, 6267, 693, 713, 1153, 616, 9001, 476, 274, 291, 23252, 547, 4308, 609, 1483, 8996, 2152, 563, 1103, 741, 2487, 1788, 29805, 8048, 519, 10158, 267, 519, 6267, 941, 2016, 519, 4305, 547, 948, 513, 1079, 4458, 6040, 1126, 269, 634, 1126, 729, 4535, 609, 918, 889, 13403, 4524, 563, 763, 1523, 585, 713, 1544, 782, 3323, 5484, 16026, 267, 1374, 543, 9781, 20131, 4718, 519, 513, 4979, 1126, 267, 2506, 5471, 339, 670, 2074, 21539, 269, 2701, 729, 693, 15535, 744, 3149, 523, 779, 634, 9839, 652, 962, 731, 476, 276, 298, 609, 1200, 1920, 269, 16026, 1767, 602, 646, 6444, 519, 3747, 602, 2576, 729, 1739, 1200, 609, 513, 9126, 8066, 519, 8708, 563, 14881, 2219, 267, 2048, 6546, 779, 1945, 602, 476, 274, 291, 8228, 543, 476, 277, 628, 17603, 1223, 9585, 865, 1200, 3237, 1810, 1406, 723, 547, 1246, 1200, 1472, 519, 2777, 782, 519, 942, 16224, 892, 1767, 16026, 563, 763, 1126, 779, 3158, 267, 22503, 662, 670, 2074, 21539, 267, 7150, 602, 6306, 689, 1200, 22420, 5868, 267, 519, 8004, 849, 814, 513, 3296, 540, 513, 2295, 563, 2108, 9515, 849, 609, 1200, 4719, 5868, 267, 19890, 267, 3357, 2059, 3368, 513, 2295, 269, 4706, 14523, 31129, 2451, 2295, 6794, 630, 30045, 9391, 1070, 892, 1200, 3158, 1767, 269, 968, 2005, 1175, 2501, 609, 513, 2370, 3063, 3937, 585, 721, 593, 513, 3232, 4493, 267, 1352, 779, 593, 5135, 476, 2190, 270, 278, 3034, 763, 3158, 5018, 602, 1352, 543, 519, 4651, 1419, 1747, 519, 5135, 13111, 538, 513, 9126, 543, 4163, 621, 1175, 827, 269, 1717, 267, 519, 7382, 568, 2597, 344, 543, 7182, 519, 8004, 779, 5191, 540, 3001, 1472, 11884, 676, 9887, 563, 2108, 10214, 3006, 952, 1352, 779, 1175, 1085, 17415, 543, 519, 5135, 568, 9361, 972, 543, 594, 1810, 1406, 917, 1352, 779, 1085, 17415, 594, 3580, 5873, 606, 2048, 25105, 685, 543, 594, 6557, 899, 267, 2048, 17764, 9493, 1695, 267, 594, 991, 547, 1847, 602, 585, 596, 16224, 892, 670, 2074, 21539, 1767, 269, 968, 2005, 786, 2731, 1450, 1200, 547, 2744, 602, 7115, 602, 1352, 6499, 547, 9787, 865, 21354, 3034, 9961, 519, 2898, 19496, 267, 519, 6267, 5249, 538, 6887, 8228, 267, 8888, 267, 6313, 741, 3631, 269, 1452, 616, 519, 3631, 602, 1131, 2285, 519, 476, 273, 4458, 6040, 1200, 5191, 563, 7197, 540, 519, 1053, 2813, 5135, 13111, 25963, 602, 2879, 760, 5196, 2506, 5471, 339, 779, 3802, 518, 563, 763, 476, 277, 628, 17263, 20131, 7150, 602, 519, 6267, 3576, 519, 1788, 12517, 267, 968, 516, 958, 3206, 827, 6128, 543, 519, 2257, 543, 1175, 3478, 547, 621, 543, 8888, 930, 2731, 6909, 1919, 3034, 1607, 2250, 11016, 267, 519, 6267, 5795, 741, 16493, 547, 670, 2074, 21539, 865, 1352, 666, 4584, 835, 547, 8415, 593, 2506, 5471, 339, 779, 3802, 518, 563, 1607, 568, 606, 11121, 1554, 585, 519, 6267, 269, 1358, 723, 4121, 513, 1272, 268, 1652, 517, 269, 634, 8004, 786, 1995, 513, 1272, 1689, 689, 1631, 593, 563, 17606, 729, 5863, 1373, 2111, 547, 948, 2576, 2223, 835, 540, 519, 1053, 1767, 269, 968, 8253, 1152, 3478, 519, 2069, 855, 1373, 2111, 547, 948, 2576, 609, 621, 1932, 3034, 291, 32713, 2829, 602, 646, 568, 4867, 10478, 585, 1010, 1739, 7291, 269, 1261, 5018, 789, 798, 513, 4195, 835, 1169, 19496, 269, 16026, 849, 2712, 2471, 3025, 538, 2486, 609, 606, 6644, 267, 547, 1205, 538, 5905, 609, 1864, 269, 0, 2791, 17551, 513, 4756, 547, 14574, 922, 2012, 543, 7907, 563, 2791, 946, 519, 3948, 454, 21132, 4087, 543, 9115, 2285, 513, 4756, 922, 7907, 563, 2690, 1344, 593, 875, 547, 1118, 2953, 4408, 267, 1294, 13207, 1563, 27100, 18780, 563, 26222, 543, 4759, 4632, 454, 288, 2199, 4756, 568, 513, 4756, 10294, 538, 513, 5650, 269, 589, 4759, 4756, 568, 513, 4759, 540, 513, 10294, 1826, 269, 1411, 17551, 621, 538, 9074, 9165, 269, 898, 666, 581, 513, 4759, 540, 513, 1362, 610, 2497, 267, 855, 711, 538, 513, 5650, 4835, 547, 602, 1362, 610, 2497, 563, 4537, 1563, 543, 3236, 4632, 454, 5719, 743, 2130, 1239, 1826, 454, 2026, 538, 519, 17083, 3948, 13071, 596, 2285, 519, 1239, 1826, 610, 1843, 1826, 540, 519, 10294, 4756, 563, 763, 15868, 2010, 1246, 912, 268, 1323, 10026, 1239, 1826, 27210, 268, 589, 12432, 1239, 1826, 630, 541, 7590, 543, 3889, 616, 1806, 994, 268, 1323, 1843, 1826, 610, 1362, 454, 268, 589, 16023, 454, 2791, 946, 519, 16083, 454, 1103, 538, 519, 17083, 3948, 547, 17551, 13735, 15304, 4632, 609, 513, 1644, 1770, 540, 2268, 563, 763, 4082, 1310, 454, 1103, 568, 2356, 513, 1770, 10294, 609, 519, 3948, 454, 3719, 621, 666, 849, 581, 513, 2596, 1770, 10294, 609, 454, 2791, 666, 17551, 1896, 4632, 538, 835, 3948, 609, 519, 1482, 1239, 1826, 269, 1809, 621, 568, 711, 2556, 547, 2328, 519, 1239, 1826, 811, 982, 835, 942, 269, 2368, 1806, 1246, 912, 262, 13207, 732, 1614, 8870, 4632, 269, 17435, 1775, 267, 795, 267, 737, 1306, 2271, 1412, 13207, 732, 835, 2527, 15492, 4756, 543, 1079, 13735, 15304, 4632, 269, 17435, 530, 769, 13532, 267, 1535, 267, 586, 1306, 7464, 454, 304, 783, 885, 540, 10294, 4632, 0, 2467, 616, 1906, 1919, 811, 32049, 585, 3237, 982, 741, 12322, 4358, 547, 5397, 269, 898, 779, 606, 3078, 942, 267, 855, 621, 666, 849, 581, 18447, 269, 1403, 707, 3214, 616, 3168, 4464, 547, 3478, 3297, 519, 8868, 267, 1934, 616, 930, 1283, 4388, 547, 948, 873, 5965, 563, 13729, 513, 1434, 1383, 454, 763, 1655, 3992, 596, 666, 4001, 3214, 602, 616, 3478, 4712, 547, 1376, 6117, 568, 547, 581, 513, 6297, 9920, 269, 5590, 513, 1434, 1383, 269, 5457, 602, 707, 7141, 786, 4585, 596, 950, 596, 5397, 269, 9796, 3007, 547, 519, 3652, 540, 519, 4155, 267, 2285, 824, 4155, 3755, 942, 543, 2230, 543, 581, 3461, 269, 13185, 547, 707, 1453, 827, 3106, 543, 519, 2956, 540, 705, 4575, 676, 519, 3652, 547, 2539, 4220, 269, 8347, 547, 536, 4314, 3983, 6208, 950, 707, 3214, 616, 538, 519, 1286, 543, 581, 13533, 602, 789, 786, 10110, 1344, 1247, 789, 7747, 596, 269, 1403, 596, 616, 513, 6297, 9920, 267, 972, 779, 513, 1434, 4960, 602, 707, 7141, 786, 1246, 538, 707, 3723, 25074, 563, 8340, 513, 5078, 6174, 454, 5278, 6472, 616, 1454, 811, 5078, 585, 15226, 10256, 982, 1866, 269, 1403, 596, 723, 513, 1360, 7199, 1286, 267, 707, 6174, 568, 593, 922, 2063, 7953, 267, 610, 596, 5397, 513, 1804, 610, 5230, 1286, 602, 3085, 1406, 723, 519, 5767, 3106, 2934, 267, 585, 1383, 267, 596, 949, 6999, 547, 2015, 9140, 610, 682, 2084, 513, 1286, 585, 707, 1126, 547, 1451, 269, 2422, 4930, 543, 13181, 10274, 899, 1346, 689, 4609, 899, 31611, 338, 547, 948, 596, 1265, 2306, 543, 3631, 602, 616, 4998, 585, 18051, 1182, 267, 3643, 4308, 619, 4721, 547, 1205, 10530, 543, 6582, 1449, 11479, 267, 543, 1491, 707, 942, 547, 9260, 909 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2417, 25967, 1681, 519, 13766, 540, 4396, 15679, 3157, 1369, 5959, 2853, 780, 2162, 11957, 540, 13229, 15679, 13756, 538, 15482, 23994, 692, 4415, 2810, 25036, 1996, 5959, 7426, 267, 7598, 2178, 15679, 4507, 814, 1831, 2565, 585, 1896, 4128, 1384, 2971, 28597, 26094, 692, 19931, 15679, 3252, 2327, 15984, 547, 5313, 267, 1533, 267, 543, 2199, 4074, 4031, 269, 1635, 4509, 4977, 9441, 5638, 267, 1739, 1697, 17849, 5773, 267, 3246, 16601, 5721, 902, 267, 543, 5466, 9036, 7526, 16425, 267, 5959, 2853, 7413, 519, 10171, 540, 1875, 1260, 20869, 269, 1280, 3236, 267, 4180, 2953, 12032, 540, 4813, 594, 268, 280, 6971, 519, 7872, 540, 6849, 646, 11998, 22717, 13684, 676, 26790, 543, 31654, 1682, 2037, 7593, 630, 21201, 1040, 6684, 267, 735, 2391, 609, 29482, 6369, 4170, 2337, 2226, 2318, 3347, 609, 5520, 945, 2154, 6905, 3762, 1813, 547, 2123, 610, 1920, 1072, 6927, 780, 2971, 11485, 14600, 12720, 692, 21659, 755, 15679, 2853, 4196, 607, 513, 23833, 2268, 267, 4227, 519, 8458, 540, 7199, 1396, 580, 725, 16109, 689, 29832, 745, 660, 1194, 5520, 610, 9431, 8041, 269, 11109, 2312, 2816, 11673, 267, 2773, 6268, 7355, 267, 543, 1134, 268, 10919, 5344, 2754, 4507, 11081, 13509, 3823, 6788, 543, 4539, 585, 13817, 2265, 269, 5015, 267, 10647, 9488, 4282, 11974, 543, 3075, 9584, 1354, 14139, 1007, 5234, 2818, 24024, 8320, 1141, 18621, 550, 554, 2231, 1522, 16616, 519, 2259, 547, 11991, 20824, 780, 2971, 4518, 6503, 28290, 692, 8505, 558, 908, 16625, 4247, 998, 15679, 3301, 6908, 6050, 4238, 267, 5355, 2949, 4398, 269, 11588, 7245, 267, 942, 15209, 267, 20343, 9477, 267, 543, 2773, 20241, 666, 782, 581, 7307, 3842, 3593, 7888, 5867, 269, 31035, 689, 9494, 3407, 942, 543, 2200, 267, 12747, 1949, 2569, 8261, 6959, 543, 1683, 2653, 10333, 547, 2556, 6054, 269, 9182, 267, 5959, 2853, 4324, 689, 2799, 7607, 2157, 543, 4824, 3375, 6194, 7207, 1759, 593, 6325, 1239, 4030, 780, 2971, 13669, 550, 4825, 1549, 692, 2026, 12006, 4505, 267, 19788, 1283, 13007, 538, 2221, 781, 8013, 3782, 5251, 13514, 2591, 267, 2523, 2016, 519, 5571, 6855, 269, 20074, 7580, 15679, 7341, 6087, 5959, 2853, 547, 11677, 2298, 10986, 267, 5807, 513, 7123, 2324, 1604, 269, 5510, 1359, 8013, 13180, 15004, 267, 5009, 960, 3734, 3666, 267, 9301, 10781, 267, 543, 14637, 5578, 1646, 998, 2866, 3255, 3986, 9441, 9547, 543, 14017, 269, 11086, 267, 4389, 24826, 3928, 3565, 9797, 2509, 5812, 3461, 1416, 6765, 543, 20656, 780, 1103, 3932, 267, 10128, 7347, 15679, 3252, 883, 5959, 2853, 11438, 3160, 4644, 607, 17516, 4731, 335, 15462, 6142, 269, 9717, 519, 21318, 540, 2640, 6508, 689, 2500, 15679, 2994, 1107, 1519, 8476, 10220, 267, 1981, 17846, 267, 10512, 31931, 267, 543, 13007, 12802, 1107, 5959, 4648, 1590, 2015, 29103, 1359, 741, 15679, 5989, 7258, 16565, 4731, 335, 15462, 3795, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1432, 5689, 335, 15462, 15928, 6496, 333, 1406, 15147, 281, 634, 8779, 540, 15679, 27190, 1389, 538, 519, 15482, 12752, 454, 2791, 9327, 1406, 2479, 7500, 607, 513, 4387, 610, 11290, 1510, 4731, 335, 15462, 6142, 267, 855, 9118, 5959, 2853, 2443, 2523, 4130, 4357, 2853, 2443, 7500, 1510, 513, 6131, 1480, 2200, 2319, 269, 898, 779, 1175, 607, 19408, 563, 12441, 596, 917, 602, 811, 982, 476, 2004, 260, 540, 9439, 786, 581, 3957, 538, 513, 5959, 4731, 335, 15462, 2013, 538, 519, 772, 2529, 269, 936, 519, 1576, 540, 741, 11678, 286, 1548, 779, 1175, 607, 31417, 286, 589, 2582, 29482, 6369, 18670, 1223, 1942, 707, 2259, 909, 547, 1269, 3199, 267, 1822, 543, 3274, 25937, 606, 594, 268, 280, 1106, 27235, 1223, 1267, 538, 513, 1269, 273, 267, 28590, 5386, 563, 2080, 616, 1614, 1883, 4128, 596, 991, 513, 6131, 1480, 2200, 3301, 547, 2087, 10220, 267, 2057, 22717, 267, 543, 25117, 32262, 269, 898, 779, 607, 1271, 607, 4731, 335, 15462, 6142, 563, 16281, 29452, 4825, 664, 13669, 550, 538, 19239, 3588, 454, 2005, 779, 513, 2241, 1249, 2443, 1390, 267, 11727, 13007, 538, 25185, 568, 2182, 547, 1265, 267, 2523, 538, 513, 2022, 4211, 302, 4668, 268, 866, 1158, 269, 634, 13163, 540, 8534, 10803, 9193, 602, 476, 10711, 267, 10384, 811, 5740, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 5689, 335, 15462, 1315, 15482, 5689, 335, 15462, 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 917, 1018, 513, 737, 12685, 328, 568, 888, 298, 12685, 328, 616, 8184, 1652, 5017, 21049, 547, 1715, 10215, 269, 27051, 519, 2450, 540, 513, 9269, 267, 737, 12685, 328, 616, 676, 2484, 519, 10545, 2713, 3731, 2572, 610, 8184, 1652, 5017, 269, 918, 12685, 604, 8816, 568, 519, 17580, 10874, 787, 540, 1896, 2249, 540, 29762, 30676, 269, 634, 1034, 1455, 1895, 540, 737, 12685, 604, 8816, 568, 24814, 267, 827, 519, 2450, 540, 513, 1804, 18911, 781, 4212, 563, 18794, 5981, 320, 12226, 454, 20055, 1118, 5981, 320, 21273, 543, 2671, 707, 1702, 609, 519, 1158, 4041, 27073, 27749, 0, 22432, 9215, 18292, 654, 7644, 5058, 667, 8656, 16165, 4456, 454, 6635, 18003, 30594, 281, 18237, 719, 267, 16530, 12810, 543, 14691, 454, 15037, 476, 2767, 267, 476, 1708, 272, 303, 514, 7089, 270, 11243, 281, 18237, 21145, 281, 18237, 13517, 281, 15550, 267, 476, 274, 267, 476, 276, 309, 267, 717, 21254, 5295, 281, 15550, 281, 634, 3403, 6453, 547, 20798, 4604, 950, 621, 568, 1210, 606, 5007, 1379, 2707, 476, 276, 309, 281, 901, 8930, 17016, 513, 14931, 476, 276, 309, 689, 519, 26273, 593, 519, 4604, 269, 476, 274, 281, 2052, 581, 1031, 547, 1379, 824, 5007, 3334, 799, 946, 513, 476, 274, 4276, 717, 21254, 281, 16140, 20382, 281, 1022, 540, 799, 666, 581, 1031, 547, 454, 1692, 547, 5358, 519, 5254, 300, 3953, 834, 23325, 30346, 257, 609, 20798, 9517, 292, 910, 631, 6033, 454, 19878, 476, 6187, 267, 476, 1001, 280, 1103, 713, 2376, 267, 594, 786, 1397, 596, 875, 547, 1305, 909, 519, 5254, 300, 3953, 609, 20798, 9517, 292, 543, 1397, 596, 875, 547, 2047, 1982, 689, 519, 18292, 772, 11286, 9074, 269, 1323, 11137, 540, 519, 5254, 300, 3953, 834, 23325, 30346, 257, 1403, 596, 1491, 513, 1413, 693, 713, 1269, 273, 29668, 518, 267, 835, 540, 519, 1101, 1919, 596, 1294, 616, 922, 795, 32658, 20382, 267, 799, 616, 1031, 547, 960, 609, 519, 9949, 2475, 11286, 18849, 4452, 518, 563, 6635, 18003, 910, 4039, 599, 1923, 20798, 20861, 454, 9596, 875, 547, 946, 20794, 609, 20798, 267, 875, 20794, 1568, 267, 875, 547, 1921, 20794, 547, 20798, 267, 875, 547, 3009, 585, 20794, 267, 875, 547, 1982, 20798, 1900, 676, 1900, 269, 634, 1469, 6044, 267, 3009, 267, 11443, 6516, 267, 3381, 5850, 267, 1899, 8386, 11060, 3009, 7778, 616, 3177, 547, 948, 596, 3533, 1205, 3323, 609, 20798, 269, 4855, 713, 543, 824, 20798, 18862, 593, 20798, 7476, 9359, 539, 563, 2464, 303, 279, 2918, 277, 14606, 7720, 626, 675, 32190, 2060, 20798, 9517, 292, 910, 26189, 1963, 454, 1607, 1259, 267, 519, 7509, 9074, 18795, 8799, 543, 22619, 344, 18284, 519, 661, 9915, 279, 2918, 277, 269, 594, 2759, 930, 795, 32658, 5911, 547, 3259, 543, 4421, 1229, 519, 20382, 540, 519, 7509, 9074, 547, 519, 3617, 20382, 540, 519, 20927, 1210, 519, 795, 32658, 5911, 547, 1118, 519, 4296, 269, 6744, 519, 3105, 3694, 4580, 14764, 1900, 585, 519, 11443, 6516, 630, 821, 540, 519, 6337, 1916, 763, 6651, 547, 15775, 519, 20389, 288, 595, 762, 1358, 10261, 27818, 1708, 271, 910, 1849, 7112, 454, 9802, 476, 2767, 267, 476, 1708, 272, 288, 11443, 10244, 10250, 1464, 1982, 568, 513, 3301, 602, 5638, 543, 13475, 519, 1344, 540, 1142, 1367, 5911, 538, 606, 10814, 568, 606, 21091, 20000, 22997, 3044, 2780, 1668, 8818, 269, 589, 20389, 288, 10814, 13462, 513, 3984, 1668, 3082, 528, 899, 513, 3993, 4580, 547, 2527, 4859, 3457, 899, 9804, 11479, 267, 2182, 12210, 11479, 267, 543, 4396, 15581, 11479, 454, 25413, 2264, 1923, 20798, 454, 6635, 18003, 9517, 292, 476, 272, 269, 279, 269, 634, 1930, 21299, 20798, 12229, 630, 22432, 264, 2306, 621, 2653, 547, 2328, 3009, 543, 14202, 621, 547, 519, 4604, 269, 901, 3301, 666, 581, 1031, 609, 1022, 20798, 4604, 269, 28582, 547, 519, 15775, 29035, 2985, 585, 12305, 566, 5528, 269, 590, 21788, 4753, 2910, 14701, 269, 15765, 1646, 540, 519, 20798, 3301, 568, 18799, 676, 27707, 29878, 269, 6423, 519, 5528, 585, 2679, 519, 3009, 563, 9596, 32017, 609, 20798, 9517, 292, 1700, 476, 275, 32693, 476, 278, 21540, 618, 10896, 18224, 454, 13971, 476, 5400, 267, 476, 1001, 278, 4785, 289, 595, 762, 1535, 476, 272, 282, 7193, 1535, 476, 272, 282, 12229, 269, 20798, 9517, 292, 630, 11437, 476, 272, 269, 277, 269, 275, 266, 264, 634, 11443, 1063, 519, 476, 275, 18251, 476, 278, 5498, 8540, 4159, 543, 519, 744, 810, 344, 5622, 9978, 4604, 568, 607, 3254, 2630, 281, 1306, 596, 666, 1294, 538, 519, 6516, 649, 616, 1210, 606, 15096, 3957, 476, 10619, 18449, 276, 4817, 538, 1840, 547, 744, 12569, 312, 302, 302, 9978, 4604, 543, 476, 275, 7857, 5722, 10126, 4159, 269, 476, 10619, 18449, 276, 4817, 1107, 568, 513, 6521, 11578, 15096, 543, 621, 454, 6635, 18003, 23905, 5788, 27707, 29878, 454, 8450, 7711, 541, 18003, 585, 519, 2645, 630, 22432, 267, 14160, 296, 907, 264, 543, 3388, 3116, 910, 20798, 23905, 1547, 901, 610, 326, 3568, 519, 4013, 20798, 23905, 269, 6423, 7711, 541, 18003, 585, 519, 2645, 630, 22432, 267, 14160, 296, 907, 264, 543, 3388, 3116, 910, 20798, 23905, 1547, 589, 631, 2839, 296, 5399, 936, 18292, 267, 1759, 593, 623, 1663, 1375, 762, 4785, 289, 595, 10030, 476, 27628, 476, 4281, 8496, 326, 19213, 288, 295, 11965, 5398, 269, 20798, 6388, 540, 519, 8496, 326, 19213, 288, 295, 11965, 454, 2464, 303, 279, 2918, 277, 12213, 12619, 609, 20798, 9517, 292, 630, 11966, 10157, 308, 264, 910, 15932, 454, 19878, 476, 3066, 267, 476, 1001, 280, 2414, 2322, 519, 661, 9915, 279, 2918, 277, 538, 2620, 3207, 7154, 267, 946, 11536, 4916, 2748, 26086, 306, 264, 543, 1780, 607, 4661, 3207, 942, 538, 2890, 572, 6948, 269, 13382, 22473, 476, 1626, 1590, 581, 4448, 547, 19268, 630, 305, 4306, 264, 8930, 865, 519, 661, 9915, 279, 2918, 277, 568, 2111, 547, 12687, 909, 269, 1677, 2322, 519, 661, 9915, 279, 2918, 277, 538, 2620, 3207, 7154, 585, 606, 22543, 9548, 1974, 540, 942, 946, 11536, 4916, 2748, 263, 271, 264, 661, 9915, 279, 2918, 277, 786, 12687, 909, 950, 519, 681, 4306, 8930, 11392, 513, 700, 8582, 454, 1692, 547, 946, 513, 29968, 4580, 585, 30488, 286, 16530, 267, 18065, 267, 20798, 454, 13202, 476, 6187, 267, 476, 1708, 271, 288, 3694, 4580, 568, 513, 1151, 1457, 1652, 4070, 3490, 1031, 585, 3384, 606, 5907, 5547, 543, 11443, 585, 3785, 609, 29668, 518, 12545, 899, 20798, 269, 901, 476, 276, 309, 261, 274, 3694, 4580, 1379, 3761, 2882, 513, 2890, 268, 4785, 289, 2823, 543, 1379, 1411, 666, 4625, 30337, 519, 11768, 540, 519, 5547, 855, 1739, 519, 3694, 4580, 6516, 4010, 568, 519, 0, 1432, 568, 538, 4819, 779, 6437, 888, 763, 4819, 779, 6437, 568, 513, 1187, 543, 3728, 533, 3166, 6437, 602, 26779, 3381, 3450, 267, 23963, 2966, 5751, 267, 543, 1585, 1187, 3756, 543, 2238, 563, 763, 9537, 344, 12243, 454, 287, 322, 664, 648, 11035, 910, 2462, 10178, 936, 1934, 2336, 4415, 9537, 344, 267, 1053, 616, 7722, 998, 513, 3099, 540, 13708, 1881, 4245, 538, 799, 789, 7118, 12587, 267, 909, 741, 3014, 4567, 267, 543, 960, 2509, 2688, 3853, 269, 1358, 1628, 741, 1378, 1285, 520, 1513, 543, 2259, 17511, 998, 1187, 267, 7317, 4245, 269, 3958, 267, 519, 1982, 3082, 338, 547, 1142, 15226, 267, 865, 1100, 2875, 2479, 9060, 2933, 609, 4245, 1932, 2653, 610, 1932, 2352, 269, 898, 5654, 543, 7959, 865, 2147, 547, 513, 2780, 3014, 602, 519, 3214, 1522, 7340, 789, 2461, 2324, 2336, 20694, 630, 763, 1234, 19960, 1441, 15858, 11819, 264, 0, 14722, 693, 19109, 9369, 5441, 4659, 540, 16353, 4675, 15533, 3163, 723, 1336, 513, 6216, 1007, 12440, 7623, 602, 1522, 581, 5363, 607, 513, 1071, 26476, 269, 3281, 2432, 267, 5219, 547, 607, 4874, 2135, 2210, 531, 919, 267, 799, 723, 513, 2462, 17285, 12547, 2527, 602, 4163, 513, 16160, 1942, 269, 1358, 2461, 4362, 782, 936, 519, 1747, 267, 689, 17617, 597, 1023, 547, 22507, 762, 9075, 543, 8755, 1121, 514, 4593, 775, 4559, 563, 763, 6216, 1007, 3625, 7623, 568, 18038, 344, 1675, 728, 630, 9391, 321, 302, 296, 264, 799, 568, 16613, 267, 1317, 621, 13408, 7372, 9797, 9901, 6887, 269, 1924, 548, 569, 513, 19625, 540, 1346, 9797, 9901, 12440, 7135, 723, 1044, 4362, 543, 6594, 563, 763, 3119, 17285, 12547, 1895, 729, 1336, 538, 476, 9264, 277, 269, 4595, 1287, 267, 2447, 1235, 723, 24704, 6266, 540, 540, 7135, 9001, 11874, 9901, 6887, 267, 799, 723, 3601, 5363, 538, 11275, 1143, 267, 3032, 4519, 267, 25617, 26634, 267, 5214, 5301, 267, 543, 7061, 9623, 269, 4706, 3601, 1118, 621, 5363, 538, 3833, 513, 2603, 540, 4610, 689, 3032, 4519, 547, 6646, 543, 3114, 10282, 563, 1103, 2487, 2053, 267, 3744, 723, 10704, 741, 7156, 593, 13754, 1944, 7135, 609, 9797, 9901, 6887, 543, 4974, 741, 3601, 563, 298, 720, 344, 4821, 543, 1010, 26393, 681, 14623, 589, 2041, 4362, 513, 16268, 1895, 676, 5506, 269, 4595, 476, 1001, 277, 267, 519, 476, 273, 3744, 2443, 918, 720, 344, 4821, 267, 513, 4396, 15581, 2447, 626, 543, 589, 2041, 267, 513, 18463, 2447, 626, 2443, 723, 1044, 593, 513, 1391, 547, 1020, 1007, 7135, 602, 949, 1491, 909, 2938, 7646, 585, 2584, 739, 574, 1637, 269, 1358, 723, 1044, 4466, 856, 513, 6219, 5627, 20841, 630, 306, 321, 1547, 1040, 275, 320, 276, 5141, 273, 264, 7623, 543, 2119, 547, 6467, 519, 20841, 11046, 609, 22752, 563, 2108, 32701, 267, 513, 6216, 1007, 2326, 729, 5833, 602, 729, 19039, 569, 11207, 1114, 689, 1018, 649, 1185, 19451, 569, 17191, 2223, 3081, 918, 720, 344, 4821, 563, 1432, 519, 3744, 17191, 568, 513, 6219, 609, 476, 2420, 8444, 538, 513, 1770, 1591, 269, 1548, 789, 4607, 607, 513, 12990, 729, 513, 7623, 609, 476, 8517, 8444, 538, 922, 1591, 563, 4263, 1101, 267, 3744, 723, 1044, 8572, 547, 19586, 519, 4070, 540, 519, 3114, 269, 589, 6671, 1935, 5219, 547, 607, 8869, 2473, 11920, 32250, 8959, 950, 21947, 609, 519, 6988, 540, 519, 5958, 269, 589, 29757, 2663, 267, 918, 720, 344, 4821, 2219, 646, 1522, 946, 476, 274, 291, 6475, 29821, 267, 513, 5969, 12967, 6475, 22794, 1935, 602, 1185, 711, 1932, 1279, 3516, 6591, 7156, 607, 513, 3301, 585, 9196, 519, 4070, 540, 5946, 269, 634, 3744, 14059, 3203, 655, 2806, 752, 636, 990, 543, 808, 5803, 16874, 1069, 2335, 540, 519, 5441, 540, 4165, 4546, 335, 267, 19934, 267, 547, 960, 593, 519, 4070, 269, 1656, 2899, 789, 3523, 2209, 590, 2056, 519, 1344, 1586, 267, 519, 3744, 723, 1044, 20938, 547, 1294, 7372, 13421, 563, 21206, 8047, 960, 9672, 602, 519, 18038, 344, 1675, 728, 11140, 13408, 15755, 22571, 267, 799, 568, 1898, 538, 3032, 4519, 563, 22154, 6602, 1522, 1930, 909, 1007, 1761, 885, 1369, 519, 1374, 540, 4396, 15581, 27857, 2223, 3081, 918, 720, 344, 4821, 563, 19853, 960, 786, 4440, 581, 9102, 538, 2257, 3356, 563, 312, 25431, 20242, 534, 23042, 1696, 620, 267, 4165, 574, 3415, 12547, 1895, 1617, 529, 17567, 547, 15755, 22571, 267, 2257, 3356, 630, 1708, 273, 1040, 20396, 281, 476, 1015, 269, 12208, 277, 1315, 1414, 611, 341, 269, 629, 332, 276, 4391, 280, 269, 8940, 4732, 7220, 3820, 270, 8742, 270, 1015, 269, 12208, 277, 4882, 857, 611, 341, 269, 629, 332, 276, 4391, 280, 454, 1492, 10839, 281, 12207, 676, 8009, 10625, 16613, 12440, 7623, 630, 1708, 273, 267, 4873, 476, 1704, 264, 8158, 4873, 476, 1240, 267, 476, 1708, 273, 689, 4179, 2517, 31850, 3820, 270, 15574, 270, 1708, 273, 268, 6187, 1606, 2615, 1235, 5498, 16781, 760, 527, 3585, 268, 571, 516, 12641, 13831, 16327, 895, 11258, 454, 1607, 2703, 568, 1888, 547, 10677, 269, 1717, 1022, 5168, 995, 7231, 585, 519, 2832, 540, 2123, 4983, 610, 2079, 267, 1100, 3368, 1223, 849, 581, 25735, 609, 856, 2854, 10479, 269, 634, 1543, 1570, 568, 6035, 585, 21141, 3252, 9003, 269, 0, 1103, 25691, 543, 4761, 1599, 616, 3905, 3584, 269, 3767, 811, 982, 2479, 621, 568, 1898, 547, 5818, 707, 454, 14545, 1062, 543, 581, 607, 2635, 607, 2009, 563, 3963, 568, 6553, 513, 1966, 888, 32247, 6553, 543, 4057, 12046, 616, 519, 2014, 540, 865, 1082, 1072, 2152, 269, 2755, 649, 1419, 454, 817, 1539, 622, 6553, 609, 12263, 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 ]

[ 0, 258, 24042, 281, 538, 332, 583, 14456, 267, 2520, 867, 6339, 324, 23205, 613, 13153, 13096, 523, 454, 258, 512, 815, 630, 272, 267, 476, 273, 267, 476, 274, 994, 258, 1820, 6025, 994, 258, 1820, 263, 6943, 6025, 4917, 258, 513, 815, 15044, 6025, 994, 258, 1820, 263, 6943, 5416, 4917, 258, 1820, 5416, 2020, 258, 1820, 6025, 314, 272, 7481, 258, 579, 815, 630, 272, 267, 476, 273, 267, 1496, 274, 267, 476, 275, 267, 476, 276, 7481, 258, 1820, 26086, 994, 258, 1948, 589, 19816, 2426, 256, 7638, 7564, 837, 321, 732, 27100, 324, 708, 512, 2544, 521, 785, 2357, 7564, 837, 8663, 454, 258, 579, 314, 273, 4940, 16647, 4590, 258, 1820, 26086, 2020, 258, 555, 626, 340, 921, 815, 9497, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 2580, 834, 528, 1052, 5602, 258, 1820, 263, 628, 626, 340, 921, 994, 258, 1820, 263, 628, 626, 340, 921, 314, 273, 281, 276, 20285, 258, 1820, 263, 573, 263, 628, 626, 340, 921, 11723, 258, 512, 815, 630, 272, 2020, 320, 815, 3403, 2891, 294, 756, 8272, 552, 710, 2098, 22844, 281, 19515, 321, 815, 3403, 2891, 294, 756, 8272, 15191, 345, 339, 5884, 1990, 933, 924, 2098, 22844, 281, 19515, 604, 513, 3436, 536, 912, 825, 513, 267, 536, 815, 536, 267, 513, 1948, 1873, 777, 454, 2745, 3488, 291, 773, 1989, 7238, 338, 572, 516, 2098, 22844, 561, 2246, 564, 795, 539, 523, 17517, 281, 22207, 536, 994, 0, 3698, 30775, 318, 6572, 3287, 2187, 825, 586, 815, 1412, 6572, 7055, 825, 1535, 6910, 12169, 994, 825, 2132, 1535, 692, 343, 815, 18358, 14140, 318, 9826, 23300, 2745, 3488, 343, 815, 22207, 1535, 267, 1412, 282, 7329, 815, 22207, 7329, 3287, 1070, 1412, 282, 1826, 815, 22207, 1826, 3287, 4917, 2745, 3488, 21228, 21228, 1693, 13090, 17210, 325, 15635, 318, 6572, 3287, 2020, 2745, 3488, 343, 815, 22207, 1535, 267, 1412, 282, 7329, 815, 22207, 7329, 3287, 1070, 1412, 282, 1826, 815, 22207, 1826, 3287, 4917, 2745, 3488, 343, 815, 22207, 1535, 267, 1412, 282, 7329, 815, 22207, 7329, 3287, 1070, 1412, 282, 1826, 815, 22207, 1826, 3287, 4297, 0, 258, 661, 706, 731, 692, 6112, 6936, 912, 825, 530, 677, 815, 3403, 3488, 30531, 974, 546, 553, 6478, 552, 16636, 17754, 281, 30386, 825, 952, 530, 677, 18994, 323, 13424, 10031, 1038, 1820, 2891, 4226, 974, 562, 584, 654, 23152, 614, 552, 16636, 17754, 256, 19515, 825, 3116, 912, 1038, 2736, 692, 6112, 6936, 912, 825, 737, 4861, 1588, 815, 3403, 3488, 30531, 974, 5884, 918, 4861, 1588, 552, 16636, 17754, 281, 30386, 825, 952, 737, 4861, 1588, 18994, 323, 13424, 10031, 1038, 1820, 2891, 4226, 974, 562, 584, 29246, 560, 629, 523, 552, 16636, 17754, 256, 19515, 825, 3116, 912, 1038, 2736, 692, 342, 677, 815, 1305, 26028, 677, 994, 330, 4861, 1588, 815, 1305, 17347, 4861, 1588, 2020, 10235, 16818, 529, 815, 530, 677, 269, 5793, 7611, 17347, 4861, 1588, 2020, 2745, 2891, 6943, 530, 677, 815, 14307, 1826, 26028, 677, 4917, 2745, 2891, 6943, 530, 677, 815, 14307, 1826, 17347, 4861, 1588, 11723, 2745, 2891, 342, 677, 815, 14307, 530, 677, 267, 834, 330, 4861, 1588, 815, 14307, 737, 4861, 1588, 2020, 2745, 2891, 2144, 613, 16818, 529, 815, 14307, 2144, 613, 16818, 529, 2020, 0, 3698, 568, 318, 2158, 3799, 318, 2158, 267, 3283, 8217, 2187, 825, 8173, 825, 17776, 6936, 952, 538, 3283, 8217, 568, 562, 318, 2158, 1985, 547, 1142, 824, 543, 8771, 952, 3085, 1405, 454, 825, 2433, 12407, 562, 318, 2158, 912, 825, 2433, 12407, 3283, 8217, 912, 825, 2433, 8873, 281, 645, 944, 454, 825, 29185, 825, 1024, 815, 630, 8999, 263, 2158, 8217, 5157, 281, 328, 266, 333, 318, 2158, 8079, 585, 1775, 538, 2039, 12759, 263, 2158, 8217, 4297, 2020, 825, 585, 3693, 538, 1024, 912, 1038, 952, 3693, 2652, 562, 318, 2158, 912, 2018, 2132, 6936, 692, 825, 2132, 8771, 7531, 3698, 1292, 10031, 825, 9949, 8217, 815, 1496, 271, 267, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 825, 562, 318, 2158, 815, 703, 9272, 2891, 1692, 1082, 3283, 568, 1985, 547, 1142, 824, 286, 2433, 27328, 825, 1820, 6600, 24679, 781, 2715, 529, 318, 2158, 3799, 318, 2158, 267, 9949, 8217, 14587, 257, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 258, 256, 31756, 24800, 270, 7090, 274, 454, 12163, 17572, 2012, 281, 4266, 7272, 1157, 518, 18258, 454, 12041, 281, 29312, 17029, 532, 454, 14630, 2813, 281, 476, 1556, 270, 2764, 270, 1001, 279, 454, 14630, 2063, 9168, 281, 476, 6860, 270, 1015, 270, 1001, 280, 454, 23911, 19405, 281, 476, 274, 269, 277, 269, 274, 692, 1607, 9074, 1058, 948, 547, 6023, 4626, 652, 10102, 563, 2252, 596, 616, 5432, 609, 519, 18869, 14474, 689, 30220, 610, 942, 946, 713, 5399, 780, 20701, 5228, 3710, 1231, 1104, 1401, 4003, 454, 5228, 30220, 1104, 30220, 607, 24303, 454, 5228, 30220, 1104, 31764, 12265, 454, 5228, 11706, 1104, 3923, 9792, 692, 24629, 12173, 815, 27210, 825, 1412, 13202, 3299, 1412, 15037, 3299, 1412, 11321, 3299, 1412, 14257, 22779, 825, 1412, 300, 2967, 3299, 1412, 21801, 3299, 1412, 19878, 3299, 1412, 13971, 22779, 825, 1412, 20225, 3299, 1412, 302, 19241, 3299, 1412, 22261, 3299, 1412, 5719, 345, 5073, 25321, 4306, 318, 306, 7968, 815, 1412, 307, 262, 7531, 5035, 7033, 652, 2086, 912, 825, 5727, 901, 1362, 2337, 547, 6023, 4626, 652, 10102, 538, 606, 568, 334, 8971, 780, 825, 634, 1362, 7833, 519, 2409, 9944, 543, 1058, 581, 2653, 547, 1174, 563, 825, 2201, 519, 6724, 1582, 6745, 574, 652, 2086, 318, 11034, 543, 1582, 6745, 574, 652, 2086, 318, 754, 596, 666, 946, 454, 825, 519, 3252, 540, 30220, 6155, 520, 8135, 780, 825, 29185, 825, 6449, 16435, 1824, 1029, 815, 18358, 339, 574, 652, 2086, 318, 11034, 3299, 1412, 339, 574, 652, 2086, 318, 754, 3299, 1412, 31078, 3299, 1412, 638, 6621, 262, 6540, 825, 1219, 6449, 8181, 9191, 454, 2018, 1582, 267, 1376, 267, 1439, 267, 12732, 22561, 2676, 2018, 10116, 22561, 2187, 1038, 5727, 22873, 658, 1125, 519, 1362, 4626, 652, 2086, 780, 1038, 2433, 12407, 1376, 281, 634, 1376, 4266, 540, 519, 942, 1606, 3966, 454, 1038, 2433, 12407, 1439, 281, 634, 1439, 4266, 540, 519, 942, 1606, 3966, 454, 1038, 2433, 12407, 12732, 281, 1101, 610, 2034, 3368, 540, 519, 1032, 267, 952, 2016, 3116, 7183, 454, 1038, 2433, 12407, 10116, 281, 10116, 540, 519, 1032, 267, 952, 2016, 3116, 7183, 692, 1038, 2433, 6943, 1376, 281, 30220, 6155, 520, 8135, 4590, 1038, 2433, 6943, 1439, 281, 30220, 6155, 520, 8135, 4590, 1038, 2433, 6943, 12732, 281, 703, 454, 1038, 2433, 6943, 10116, 281, 703, 692, 1038, 8173, 1038, 952, 1376, 3436, 1439, 912, 2018, 1582, 6745, 574, 652, 2086, 318, 11034, 815, 1439, 454, 2018, 1582, 6745, 574, 652, 2086, 318, 754, 815, 1376, 454, 1038, 3116, 912, 2018, 1582, 6745, 574, 652, 2086, 318, 11034, 815, 1376, 454, 2018, 1582, 6745, 574, 652, 2086, 318, 754, 815, 1439, 454, 1038, 1582, 4732, 3966, 815, 12732, 454, 1038, 1582, 269, 638, 6621, 815, 10116, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 5727, 13528, 9643, 522, 1575, 583, 540, 1376, 543, 1439, 942, 780, 1038, 14474, 281, 1412, 260, 312, 268, 260, 332, 268, 260, 323, 307, 260, 295, 281, 260, 300, 281, 260, 306, 267, 4939, 312, 268, 260, 332, 268, 260, 323, 307, 260, 295, 281, 260, 300, 260, 306, 28847, 1038, 29185, 1038, 2132, 1582, 269, 11034, 3890, 1341, 1412, 10086, 1341, 1582, 269, 754, 10797, 825, 1219, 6449, 5417, 9191, 1345, 267, 824, 2187, 1038, 5727, 3849, 1091, 3764, 547, 519, 4626, 652, 2086, 318, 11034, 543, 4626, 652, 2086, 318, 754, 780, 1038, 2878, 306, 3966, 543, 22588, 786, 547, 711, 581, 973, 531, 1529, 622, 12533, 1038, 2433, 12407, 824, 281, 3764, 547, 1039, 454, 1038, 2433, 8873, 281, 4626, 652, 2086, 454, 1038, 8173, 1038, 1376, 815, 1582, 6745, 574, 652, 2086, 318, 11034, 1341, 31764, 12265, 263, 2381, 2373, 284, 1278, 994, 1038, 1439, 815, 1582, 6745, 574, 652, 2086, 318, 754, 1341, 31764, 12265, 263, 2381, 2373, 284, 1278, 994, 1038, 1948, 547, 4777, 6449, 11357, 1029, 281, 973, 531, 27218, 540, 519, 12732, 543, 10116, 454, 1038, 2132, 7033, 652, 2086, 263, 11034, 267, 1439, 267, 1582, 4732, 3966, 267, 1582, 269, 638, 6621, 2020, 825, 1219, 6449, 11357, 9191, 1345, 267, 824, 2187, 1038, 5727, 8138, 339, 847, 338, 3764, 689, 519, 4626, 652, 2086, 318, 11034, 543, 4626, 652, 2086, 318, 754, 780, 1038, 2878, 306, 3966, 543, 22588, 786, 547, 711, 581, 973, 531, 1529, 622, 12533, 1038, 2433, 12407, 824, 281, 3764, 547, 2655, 847, 454, 1038, 2433, 8873, 281, 4626, 652, 2086, 454, 1038, 8173, 1038, 1376, 815, 1582, 6745, 574, 652, 2086, 318, 11034, 910, 31764, 12265, 263, 2381, 2373, 284, 1278, 994, 1038, 1439, 815, 1582, 6745, 574, 652, 2086, 318, 754, 910, 31764, 12265, 263, 2381, 2373, 284, 1278, 994, 1038, 1948, 547, 4777, 6449, 11357, 1029, 281, 973, 531, 27218, 540, 519, 12732, 543, 10116, 454, 1038, 2132, 7033, 652, 2086, 263, 11034, 267, 1439, 267, 1582, 4732, 3966, 267, 1582, 269, 638, 6621, 2020, 825, 1219, 6449, 3438, 9191, 1345, 2187, 1038, 6556, 1412, 339, 574, 652, 2086, 9359, 3299, 1582, 269, 11034, 4590, 1038, 6556, 1412, 339, 574, 652, 2086, 17484, 3299, 1582, 269, 754, 10797, 825, 1219, 6449, 2741, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 7033, 652, 2086, 2187, 2018, 1948, 1810, 1405, 3801, 547, 5635, 1996, 20775, 2010, 454, 2018, 2132, 3502, 25363, 7757, 454, 1038, 2132, 1582, 6745, 574, 652, 2086, 318, 11034, 2999, 824, 6745, 574, 652, 2086, 318, 11034, 543, 1582, 6745, 574, 652, 2086, 318, 754, 2999, 824, 6745, 574, 652, 2086, 318, 754, 692, 825, 1219, 6449, 548, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 7033, 652, 2086, 2187, 2018, 1948, 1810, 1405, 3801, 547, 5635, 1996, 20775, 2010, 454, 2018, 2132, 3502, 25363, 7757, 454, 1038, 2132, 1582, 6745, 574, 652, 2086, 318, 11034, 10922, 824, 6745, 574, 652, 2086, 318, 11034, 610, 1582, 6745, 574, 652, 2086, 318, 754, 10922, 824, 6745, 574, 652, 2086, 318, 754, 692, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 7033, 652, 2086, 2187, 2018, 1948, 1810, 1405, 3801, 547, 5635, 1996, 20775, 2010, 454, 2018, 2132, 3502, 25363, 7757, 454, 1038, 2132, 1582, 6745, 574, 652, 2086, 318, 11034, 2652, 824, 6745, 574, 652, 2086, 318, 11034, 543, 1582, 6745, 574, 652, 2086, 318, 754, 2652, 824, 6745, 574, 652, 2086, 318, 754, 692, 825, 1219, 6449, 928, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 7033, 652, 2086, 2187, 2018, 1948, 1810, 1405, 3801, 547, 5635, 1996, 20775, 2010, 454, 2018, 2132, 3502, 25363, 7757, 454, 1038, 2132, 1582, 6745, 574, 652, 2086, 318, 11034, 11203, 824, 6745, 574, 652, 2086, 318, 11034, 543, 1582, 6745, 574, 652, 2086, 318, 754, 11203, 824, 6745, 574, 652, 2086, 318, 754, 692, 825, 1219, 6449, 25885, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 7033, 652, 2086, 2187, 2018, 1948, 1810, 1405, 3801, 547, 5635, 1996, 20775, 2010, 454, 2018, 2132, 3502, 25363, 7757, 454, 1038, 2132, 1582, 6745, 574, 652, 2086, 318, 11034, 3436, 824, 6745, 574, 652, 2086, 318, 11034, 543, 1582, 6745, 574, 652, 2086, 318, 754, 3436, 824, 6745, 574, 652, 2086, 318, 754, 692, 825, 1219, 6449, 613, 9191, 1345, 267, 824, 2187, 1038, 952, 711, 568, 27349, 263, 1278, 267, 7033, 652, 2086, 2187, 2018, 1948, 1810, 1405, 3801, 547, 5635, 1996, 20775, 2010, 454, 2018, 2132, 3502, 25363, 7757, 454, 1038, 2132, 1582, 6745, 574, 652, 2086, 318, 11034, 13843, 824, 6745, 574, 652, 2086, 318, 11034, 610, 1582, 6745, 574, 652, 2086, 318, 754, 13843, 824, 6745, 574, 652, 2086, 318, 754, 692, 825, 1219, 1376, 4311, 2187, 1038, 5727, 14303, 5281, 513, 1193, 540, 519, 1376, 4266, 538, 606, 568, 334, 8971, 780, 1038, 2433, 8873, 281, 30149, 1193, 540, 519, 1376, 4266, 18011, 260, 312 ]

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

[ 3349, 14340, 454, 1492, 2241, 343, 1505, 267, 769, 1804, 21092, 5276, 5752, 2042, 267, 519, 4429, 1103, 1804, 21092, 5276, 5752, 2042, 267, 519, 3070, 3112, 581, 5833, 676, 519, 21370, 1505, 543, 8754, 513, 811, 9836, 1505, 814, 547, 581, 2919, 547, 1265, 454, 13528, 3634, 713, 607, 513, 12430, 14691, 9046, 267, 589, 1957, 1984, 7472, 1079, 575, 2483, 288, 1957, 1984, 7472, 1079, 9344, 540, 1957, 642, 714, 1421, 2473, 543, 962, 269, 5221, 540, 6151, 1570, 9993, 267, 621, 3112, 3132, 811, 982, 476, 6110, 9748, 540, 3446, 2473, 1957, 543, 476, 4968, 9748, 540, 3446, 962, 17328, 454, 300, 330, 267, 7665, 4476, 2098, 284, 476, 274, 343, 272, 1341, 476, 273, 311, 273, 13595, 547, 519, 10148, 281, 2473, 272, 266, 2473, 273, 815, 476, 275, 2473, 272, 910, 2473, 273, 815, 4429, 16655, 4476, 2098, 284, 476, 274, 343, 272, 1341, 476, 273, 311, 273, 13595, 547, 519, 10148, 281, 2473, 272, 266, 2473, 273, 815, 476, 275, 2473, 272, 910, 2473, 273, 815, 476, 273, 2473, 272, 267, 2473, 273, 815, 476, 271, 454, 3725, 10293, 3631, 910, 5106, 1382, 2203, 267, 1452, 3631, 616, 1031, 765, 2483, 4322, 3631, 616, 1031, 950, 835, 1590, 6430, 519, 6099, 942, 547, 5372, 3937, 585, 835, 2601, 610, 519, 824, 585, 3236, 267, 538, 519, 2013, 540, 3937, 4171, 4398, 1033, 324, 454, 23921, 540, 1382, 11556, 267, 10261, 1160, 1842, 1023, 616, 2854, 585, 1585, 556, 553, 2483, 23921, 1160, 1842, 1023, 616, 2854, 585, 1585, 4128, 269, 1358, 616, 5423, 585, 1114, 4128, 799, 4268, 547, 519, 6708, 540, 3877, 4397, 267, 855, 899, 1382, 5359, 267, 519, 11556, 513, 454, 28398, 532, 12143, 6435, 454, 292, 21643, 12143, 6435, 454, 293, 12099, 12143, 6435, 454, 32417, 12143, 6435, 454, 30125, 12143, 6435, 454, 290, 13511, 12143, 6435, 454, 13043, 12143, 6435, 454, 289, 5735, 12143, 6435, 454, 12626, 12143, 6435, 454, 10048, 1771, 12143, 6435, 454, 25811, 1359, 12143, 6435, 454, 25284, 2719, 12143, 6435, 454, 20663, 3163, 12143, 6435, 454, 3951, 20043, 543, 6435, 454, 3963, 2974, 15017, 349, 2190, 343, 278, 31477, 8081, 454, 349, 26660, 540, 4518, 454, 349, 11742, 593, 24822, 454, 349, 7468, 643, 2329, 540, 4518, 454, 14549, 12754, 5004, 454, 24145, 1155, 5623, 5675, 6435, 454, 10287, 2974, 11406, 307, 1299, 595, 454, 15648, 676, 20226, 21790, 8668, 12409, 623, 26404, 269, 13456, 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 ]

[ 328, 6192, 1010, 2090, 609, 7071, 950, 646, 729, 1175, 28465, 1296, 2025, 269, 2991, 519, 28094, 540, 1010, 2090, 267, 646, 9310, 2098, 12317, 571, 12390, 574, 630, 323, 269, 1960, 274, 264, 543, 729, 321, 1652, 539, 609, 1614, 1453, 267, 13259, 24703, 267, 19869, 31608, 267, 543, 15310, 9874, 269, 1261, 849, 9310, 4053, 518, 10915, 12390, 574, 538, 476, 1960, 274, 595, 9950, 269, 1310, 519, 2669, 540, 2098, 12317, 571, 12390, 574, 267, 519, 8250, 540, 2701, 16554, 32617, 584, 7345, 12047, 597, 20306, 754, 328, 267, 513, 8037, 543, 3810, 12635, 539, 1268, 689, 1627, 1695, 1090, 25130, 1662, 269, 769, 4873, 476, 4198, 273, 290, 9950, 1421, 10067, 31053, 20306, 754, 328, 4682, 547, 17020, 597, 2742, 585, 1010, 4108, 3028, 282, 621, 729, 1282, 713, 942, 602, 646, 1558, 1010, 5289, 4116, 630, 300, 2720, 327, 573, 264, 2701, 16554, 18498, 15917, 323, 541, 13259, 7416, 6409, 328, 620, 9539, 26698, 3333, 7171, 328, 620, 11860, 15595, 2664, 5560, 269, 476, 3422, 271, 264, 945, 729, 835, 540, 519, 1390, 5640, 540, 11894, 267, 543, 32375, 513, 3280, 1268, 543, 729, 18164, 827, 519, 2185, 1292, 3392, 338, 543, 729, 5827, 540, 12419, 15310, 11445, 585, 1142, 540, 873, 269, 2704, 328, 15917, 323, 541, 20306, 754, 328, 1031, 547, 2995, 1010, 13794, 945, 1185, 11303, 1864, 3823, 10067, 31053, 20306, 754, 328, 267, 602, 2048, 11004, 568, 513, 17199, 1934, 538, 17020, 597, 2742, 267, 1265, 1864, 267, 543, 3142, 1864, 547, 803, 9957, 3891, 5338, 713, 1289, 267, 789, 3459, 547, 3406, 585, 519, 17199, 538, 17020, 597, 2742, 269, 1809, 713, 729, 513, 1360, 2352, 4305, 267, 607, 713, 17199, 1185, 1100, 2012, 267, 21519, 267, 610, 2232, 8160, 1695, 31053, 20306, 754, 8811, 574, 1345, 6941, 602, 968, 296, 2141, 1185, 267, 689, 513, 1360, 1762, 2085, 267, 1390, 15754, 547, 9683, 5640, 543, 2701, 16554, 338, 269, 24269, 594, 5873, 540, 513, 16159, 610, 835, 540, 589, 592, 12011, 344, 1695, 267, 594, 10272, 873, 5608, 543, 593, 835, 8317, 646, 6368, 1558, 2701, 16554, 18498, 15917, 323, 541, 269, 2701, 16554, 18498, 15917, 323, 541, 20306, 754, 328, 1185, 3254, 513, 1390, 4308, 540, 1719, 538, 10067, 31053, 20306, 754, 328, 543, 646, 1185, 1390, 15754, 543, 2463, 585, 1864, 269, 8409, 1472, 2701, 16554, 18498, 15917, 323, 541, 20306, 754, 328, 267, 12212, 789, 1131, 2307, 281, 968, 3963, 798, 596, 2285, 971, 1871, 547, 513, 17199, 596, 798, 711, 1256, 917, 9495, 2701, 16554, 18498, 15917, 323, 541, 20306, 754, 328, 14452, 281, 968, 3528, 519, 4027, 540, 16589, 1100, 5609, 814, 2943, 1044, 6592, 538, 1010, 1433, 540, 23339, 1848, 2991, 11264, 1010, 4108, 3028, 538, 476, 4198, 275, 595, 9950, 269, 10067, 31053, 20306, 754, 328, 729, 12912, 607, 606, 4013, 1955, 600, 540, 519, 1772, 21166, 589, 724, 320, 17018, 4302, 538, 594, 30955, 267, 1141, 646, 7283, 2394, 646, 19622, 538, 476, 1960, 277, 595, 9950, 269, 538, 476, 3422, 271, 595, 9950, 269, 1310, 519, 2669, 540, 2701, 16554, 18498, 15917, 323, 541, 20306, 754, 328, 267, 513, 1007, 5736, 609, 32219, 9021, 3459, 538, 2701, 16554, 10067, 31053, 20306, 754, 328, 779, 1272, 269, 1261, 729, 11112, 2324, 609, 519, 2146, 607, 606, 1955, 600, 267, 607, 1134, 607, 1373, 3238, 538, 519, 9099, 2069, 540, 519, 1053, 543, 11645, 540, 5289, 5583, 269, 3509, 5640, 540, 519, 7332, 1158, 3576, 4245, 543, 5583, 689, 1864, 269, 4438, 519, 6024, 7526, 1063, 519, 1318, 543, 2451, 26310, 2516, 267, 1354, 519, 19420, 540, 476, 1321, 5181, 476, 2735, 271, 290, 9950, 1421, 2701, 16554, 10067, 31053, 20306, 754, 328, 5143, 519, 1004, 267, 945, 3357, 547, 1864, 267, 968, 4131, 779, 1685, 808, 8811, 611, 267, 543, 621, 568, 938, 10279, 547, 2847, 633, 1004, 676, 679, 14765, 1456, 519, 1434, 543, 7303, 519, 3765, 1372, 2644, 267, 621, 568, 711, 938, 10279, 547, 6146, 1004, 6100, 1261, 6836, 547, 9350, 519, 1004, 543, 729, 3811, 547, 513, 1390, 6708, 563, 1103, 476, 2735, 279, 595, 9950, 269, 10067, 31053, 20306, 754, 328, 10272, 12456, 2444, 639, 267, 543, 16850, 585, 519, 1101, 942, 267, 543, 538, 476, 1960, 273, 595, 9950, 1421, 646, 24964, 547, 4789, 543, 5125, 547, 6655, 543, 5838, 519, 5048, 540, 5771, 269, 1261, 849, 24964, 547, 645, 4157, 327, 4673, 543, 10272, 519, 9723, 2125, 540, 9099, 5640, 972, 267, 7858, 7007, 609, 519, 900, 5799, 5640, 540, 891, 4525, 267, 543, 23503, 519, 1114, 4207, 27964, 269, 769, 5988, 476, 1220, 276, 290, 9950, 1421, 2701, 16554, 20306, 754, 328, 24964, 547, 3127, 547, 3643, 519, 19772, 540, 1955, 600, 15887, 3316, 328, 16334, 329, 5417, 573, 1325, 325, 25829, 5842, 328, 2701, 16554, 13259, 24703, 620, 6363, 541, 5622, 336, 620, 4149, 597, 16442, 328, 543, 1585, 824, 4378, 24461, 5640, 543, 5289, 7221, 540, 5771, 267, 899, 10609, 24652, 13391, 336, 328, 9291, 1695, 267, 17166, 26191, 715, 712, 17124, 645, 3385, 27376, 267, 19257, 5633, 631, 1794, 9618, 3967, 25829, 3967, 534, 543, 20961, 19869, 31608, 667, 1695, 18721, 328, 16638, 1840, 547, 21409, 547, 1169, 3148, 538, 11894, 267, 2701, 16554, 10067, 31053, 20306, 754, 328, 849, 24964, 547, 519, 5664, 5101, 267, 6239, 5607, 267, 543, 2342, 538, 606, 3801, 547, 1289, 1004, 547, 519, 4190, 4984, 540, 5771, 543, 519, 5168, 269, 1261, 5340, 670, 1690, 329, 663, 772, 332, 19207, 1896, 2053, 2429, 1010, 1272, 269, 2201, 1010, 1034, 2487, 3643, 267, 538, 4989, 476, 1001, 272, 595, 9950, 1421, 646, 5340, 513, 20498, 772, 332, 19207, 267, 1927, 609, 936, 15823, 8536, 540, 1010, 13794, 1107, 1945, 899, 713, 1185, 711, 1044, 14754, 585, 5553, 269, 2701, 16554, 10067, 31053, 20306, 754, 328, 779, 14222, 1702, 540, 519, 6129, 333, 1695, 267, 1010, 7096, 1620, 540, 519, 9443, 540, 519, 1744, 926, 685, 1695, 267, 543, 1010, 9099, 1629, 6756, 528, 607, 513, 2898, 723, 1500, 1390, 24221, 593, 1312, 519, 5640, 543, 4121, 2818, 540, 519, 9099, 1158, 7247, 646, 1185, 1558, 1282, 1010, 15322, 543, 593, 1346, 945, 3357, 547, 3643, 1864, 269, 1924, 267, 2701, 16554, 10067, 31053, 20306, 754, 328, 1185, 1175, 604, 22239, 3144, 909, 513, 3056, 2990, 538, 519, 9099, 1158, 543, 1185, 1044, 4378, 10696, 609, 519, 25621, 543, 15754, 540, 1004, 689, 782, 15211, 540, 1272, 269, 1261, 1095, 3660, 936, 865, 1082, 9099, 3621, 7886, 543, 1623, 24007, 338, 543, 9415, 1004, 547, 3489, 1702, 543, 547, 957, 2687, 547, 519, 6129, 333, 1695, 540, 519, 21024, 15011, 13758, 630, 303, 321, 7795, 1040, 634, 2495, 540, 29069, 323, 573, 630, 516, 341, 1516, 264, 568, 9117, 2390, 519, 15878, 685, 534, 543, 519, 6129, 333, 1695, 543, 2847, 1516, 713, 693, 513, 942, 950, 519, 12981, 540, 519, 15878, 685, 534, 543, 519, 6129, 333, 1695, 616, 1373, 10032, 269, 1306, 713, 814, 1044, 6592, 538, 26512, 29861, 644, 602, 519, 21024, 17124, 630, 303, 321, 7795, 264, 1767, 267, 2108, 29012, 267, 16589, 786, 6318, 513, 812, 945, 786, 2847, 633, 519, 4984, 585, 713, 772, 7825, 1695, 693, 519, 4098, 540, 1169, 2540, 6100, 1496, 6781, 340, 29861, 644, 281, 476, 275, 3066, 272, 316, 4935, 267, 1759, 593, 713, 1185, 603, 267, 5640, 723, 13986, 547, 3313, 513, 16334, 329, 5417, 573, 693, 519, 4098, 540, 1169, 2540, 269, 769, 476, 1001, 271, 595, 9950, 269, 5111, 2185, 4627, 12021, 543, 15197, 5640, 3357, 689, 476, 6246, 2477, 547, 21907, 517, 519, 1114, 4207, 27964, 543, 2591, 602, 7153, 538, 9099, 2219, 538, 594, 30955, 543, 593, 713, 8317, 10294, 2701, 16554, 10067, 31053, 20306, 754, 328, 607, 519, 16334, 329, 5417, 573, 630, 3725, 341, 1853, 264, 540, 519, 476, 2641, 560, 1417, 1722, 663, 4843, 1864, 609, 519, 968, 11073, 9227, 6796, 547, 5274, 640, 13815, 6100, 2991, 1821, 7627, 1010, 2898, 1272, 547, 519, 3028, 540, 5771, 267, 713, 1390, 16159, 540, 5771, 543, 476, 2641, 560, 1417, 1722, 16334, 329, 5417, 573, 2451, 713, 1158, 593, 476, 2537, 4873, 476, 1708, 273, 693, 519, 2085, 540, 476, 11152, 1296, 269, 16334, 329, 5417, 573, 2701, 16554, 10067, 31053, 20306, 754, 328, 2429, 1010, 1272, 9415, 1004, 547, 3489, 1702, 543, 1685, 10847, 711, 1152, 609, 1010, 1913, 855, 849, 609, 1010, 3527, 282, 646, 2760, 14460, 610, 20495, 1022, 1106, 540, 10847, 543, 19500, 607, 513, 2707, 540, 19015, 543, 8404, 585, 1346, 945, 7198, 1010, 32344, 1145, 269, 1261, 1185, 5645, 856, 1082, 1568, 547, 13599, 1010, 1004, 538, 5132, 267, 19248, 336, 11445, 267, 1434, 26069, 267, 2463, 585, 1866, 267, 543, 1702, 269, 2701, 16554, 10067, 31053, 20306, 754, 328, 2141, 9415, 1004, 547, 3343, 2069, 267, 2936, 7326, 543, 2832, 585, 22556, 269, 10067, 31053, 20306, 754, 328, 779, 28005, 976, 267, 799, 646, 1185, 2016, 5781, 585, 936, 15823, 1296, 267, 8720, 3818, 8820, 3344, 540, 5771, 723, 1044, 6394, 543, 2895, 1882, 676, 1010, 13794, 282, 607, 513, 1267, 267, 3670, 12531, 723, 1044, 3370, 2943, 269, 634, 1034, 3312, 543, 6225, 960, 540, 2701, 16554, 10067, 31053, 20306, 754, 328, 568, 519, 960, 540, 24758, 519, 15878, 685, 534, 547, 519, 15349, 1893, 267, 3957, 968, 304, 584, 685, 534, 20727, 2465, 573, 6100, 6271, 1034, 2019, 6058, 748, 960, 676, 2701, 16554, 10067, 31053, 20306, 754, 328, 568, 519, 7664, 540, 519, 15878, 685, 534, 538, 15349, 13886, 968, 305, 537, 327, 620, 6363, 584, 336, 534, 6100, 2701, 16554, 10067, 31053, 20306, 754, 328, 3964, 1585, 3909, 267, 1514, 267, 543, 17493, 3906, 543, 13210, 267, 3226, 971, 607, 2048, 763, 16334, 329, 5417, 573, 10067, 31053, 20306, 754, 328, 7690, 8730, 2048, 763, 3057, 604, 564, 5948, 8730, 2048, 763, 18966, 540, 3057, 604, 564, 4889, 725, 8730, 543, 2048, 25105, 548, 6129, 333, 1695, 3649, 620, 11219, 4821, 1695, 32700, 685, 547, 2709, 513, 1454, 1732, 3028, 547, 5771, 543, 782, 8103, 269, 3571, 3906, 543, 13210, 2285, 3028, 538, 2069, 267, 2528, 267, 3621, 1382, 267, 1072, 267, 17493, 267, 543, 3084, 543, 3486, 1514, 3906, 269, 1261, 849, 3370, 513, 10865, 14046, 543, 2686, 12139, 3957, 968, 11321, 604, 564, 6100, 10067, 31053, 20306, 754, 328, 729, 16994, 593, 3384, 3347, 543, 9316, 267, 2523, 1063, 12356, 543, 741, 6082, 267, 543, 729, 538, 12797, 540, 513, 12560, 1158, 269, 1261, 814, 6634, 540, 13794, 543, 18798, 782, 936, 519, 1158, 543, 729, 519, 1034, 900, 5799, 4137, 538, 519, 13120, 540, 5771, 563, 263, 763, 2278, 568, 1763, 792, 7815, 693, 519, 4972, 540, 9099, 5525, 267, 9040, 320, 13850, 592, 600, 20961, 14068, 3333, 1695, 2160, 267, 14076, 14873, 269, 14358, 616, 1010, 1378, 264, 0, 30161, 1681, 519, 2518, 3662, 9265, 538, 519, 3406, 519, 2518, 3662, 9265, 538, 519, 3406, 2483, 12812, 1934, 547, 4452, 5467, 454, 8070, 593, 476, 736, 11219, 684, 268, 1001, 279, 454, 21615, 539, 12025, 630, 29210, 994, 22711, 540, 25927, 1049, 3163, 454, 297, 25927, 2233, 267, 476, 1001, 277, 8222, 281, 476, 1015, 269, 14991, 8618, 32434, 4811, 269, 1911, 28318, 275, 11730, 476, 274, 263, 272, 2567, 476, 4391, 272, 268, 4343, 277, 454, 18698, 519, 2518, 3662, 9265, 538, 519, 3406, 585, 1007, 5061, 910, 7786, 291, 12447, 17241, 32617, 272, 267, 273, 24682, 26425, 823, 590, 1515, 6652, 273, 267, 1546, 4060, 3873, 717, 18553, 272, 543, 808, 565, 548, 918, 691, 641, 1177, 10098, 272, 454, 272, 23430, 540, 24103, 1108, 267, 16653, 632, 918, 558, 2160, 267, 20368, 541, 756, 334, 267, 5080, 514, 877, 273, 26199, 3194, 10418, 5080, 514, 877, 267, 14288, 11233, 5080, 514, 877, 267, 20368, 541, 756, 334, 267, 5080, 514, 877, 454, 20082, 27802, 1734, 689, 18714, 2371, 543, 7286, 7103, 723, 2094, 1279, 1044, 6444, 607, 1271, 2959, 540, 6915, 5562, 6878, 269, 901, 814, 3366, 547, 519, 1646, 540, 513, 1804, 3099, 540, 5061, 547, 1521, 1480, 3676, 971, 607, 267, 1851, 1866, 267, 513, 1297, 540, 4550, 1506, 13630, 2400, 267, 31202, 23303, 267, 9025, 267, 15084, 267, 543, 1884, 710, 31129, 8069, 269, 2859, 5063, 267, 519, 5863, 9265, 6719, 676, 519, 16221, 540, 5521, 2249, 814, 1044, 7691, 547, 3132, 606, 8449, 11108, 2707, 540, 6915, 5562, 6464, 609, 9354, 1761, 269, 3509, 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 ]

[ 27908, 687, 540, 1004, 5001, 616, 3478, 7318, 1169, 2582, 1554, 585, 519, 4527, 540, 1480, 6375, 32759, 3644, 538, 741, 4703, 269, 1306, 519, 5859, 585, 15978, 4656, 568, 3478, 2479, 6793, 1256, 538, 2484, 1166, 2426, 4525, 538, 519, 2197, 267, 811, 543, 811, 1004, 616, 1166, 12177, 547, 7740, 547, 2638, 952, 789, 616, 7783, 610, 711, 269, 901, 568, 513, 2318, 3210, 538, 519, 4339, 547, 1852, 519, 2068, 563, 4913, 267, 711, 1082, 917, 519, 32067, 3877, 540, 519, 4255, 2944, 269, 1656, 1256, 1447, 917, 602, 621, 3217, 1659, 327, 850, 585, 9672, 2164, 547, 1397, 538, 519, 1560, 269, 901, 568, 1946, 12044, 4703, 538, 519, 2564, 2361, 849, 7903, 585, 2417, 11044, 593, 519, 1982, 547, 4339, 15978, 602, 786, 711, 1152, 5000, 1004, 547, 1205, 7318, 855, 849, 585, 873, 547, 723, 513, 2631, 540, 4638, 15657, 543, 5539, 711, 1152, 585, 741, 4703, 855, 585, 741, 4891, 607, 1134, 563, 2467, 616, 3622, 1079, 2010, 540, 4255, 602, 616, 2139, 269, 634, 1101, 835, 4255, 585, 7486, 12489, 538, 519, 1560, 269, 634, 2034, 1449, 5654, 585, 26898, 3812, 676, 519, 3644, 538, 519, 1560, 269, 634, 2034, 1449, 568, 18334, 543, 2164, 666, 581, 2938, 5612, 1369, 2395, 1310, 3968, 563, 763, 1101, 1449, 5654, 585, 12489, 3812, 676, 519, 1480, 3984, 1996, 519, 3644, 269, 901, 2356, 3217, 513, 1906, 2395, 547, 4374, 1310, 3968, 585, 519, 1101, 4191, 540, 519, 12489, 547, 1397, 269, 901, 666, 6961, 547, 581, 14603, 607, 789, 5667, 639, 1051, 532, 15298, 1223, 5732, 3262, 519, 3644, 1142, 942, 646, 814, 796, 31695, 3023, 269, 634, 1449, 3294, 568, 711, 476, 1911, 260, 4977, 543, 930, 4686, 2665, 723, 1044, 1634, 547, 3132, 12489, 1310, 476, 277, 3275, 540, 4742, 7783, 563, 763, 2034, 1449, 267, 513, 18960, 4528, 267, 5654, 585, 26898, 3812, 676, 519, 3644, 3294, 269, 1323, 18970, 568, 513, 3940, 2016, 1055, 676, 519, 3644, 2899, 621, 814, 7783, 513, 1268, 269, 901, 4523, 3592, 5612, 1310, 3968, 543, 666, 581, 513, 1390, 948, 538, 1818, 2386, 602, 519, 3461, 568, 1500, 3222, 540, 1010, 4567, 269, 634, 1981, 547, 2417, 3262, 519, 3968, 568, 6854, 547, 513, 5934, 269, 634, 7887, 3815, 568, 602, 713, 1449, 568, 3810, 6213, 543, 4977, 693, 519, 1482, 942, 563, 2005, 568, 8909, 547, 2161, 1498, 602, 2899, 513, 3461, 568, 9672, 547, 723, 7486, 267, 646, 786, 581, 16271, 547, 811, 4255, 547, 1118, 2386, 646, 568, 3478, 519, 2953, 8905, 540, 2126, 269, 4329, 4255, 666, 581, 2039, 689, 7131, 275, 12523, 1524, 547, 824, 6375, 334, 817, 904, 610, 1583, 1670, 4152, 585, 17537, 267, 5233, 22914, 2670, 267, 590, 2316, 779, 610, 16770, 10299, 5563, 610, 21061, 563, 7374, 275, 12523, 616, 3376, 6724, 799, 15378, 875, 2484, 519, 7486, 814, 3144, 936, 519, 3984, 779, 4761, 1062, 269, 634, 7131, 275, 25961, 512, 268, 569, 332, 874, 14231, 616, 2281, 6098, 676, 519, 3644, 269, 589, 1970, 1293, 630, 10964, 578, 476, 1220, 264, 1223, 1611, 602, 513, 1268, 779, 7486, 3968, 814, 7707, 2989, 883, 610, 5828, 883, 2407, 27762, 15978, 269, 901, 1267, 1223, 3310, 519, 1576, 540, 2126, 602, 568, 2016, 547, 513, 3461, 547, 948, 1864, 4339, 519, 2068, 563, 2005, 568, 1271, 547, 4063, 602, 1498, 7486, 9072, 1152, 519, 7131, 275, 2281, 538, 519, 1062, 267, 513, 1970, 1267, 1281, 711, 8209, 1611, 602, 646, 814, 27636, 883, 15978, 269, 1703, 616, 1082, 3123, 585, 7131, 275, 2281, 547, 6175, 538, 519, 1560, 269, 589, 2241, 9190, 610, 1022, 824, 10194, 3968, 666, 1118, 519, 1560, 6749, 7131, 275, 12523, 6385, 269, 0, 273, 269, 20472, 539, 19932, 630, 299, 19390, 3316, 264, 538, 3642, 454, 275, 269, 11310, 21733, 9974, 3414, 10724, 32185, 454, 276, 269, 634, 18748, 338, 540, 10021, 532, 269, 13405, 11310, 267, 543, 1230, 9690, 11576, 800, 18452, 593, 7849, 5678, 14409, 454, 277, 269, 16792, 5853, 6254, 626, 14362, 547, 11310, 12476, 14716, 454, 278, 269, 14419, 875, 20946, 540, 2806, 560, 3555, 18748, 513, 11310, 12476, 454, 296, 6415, 15819, 1297, 835, 269, 634, 1699, 1382, 883, 606, 594, 4811, 568, 6140, 8159, 1018, 2055, 547, 7688, 873, 593, 630, 296, 3494, 1040, 594, 3513, 1224, 909, 593, 621, 930, 811, 267, 855, 1250, 5767, 23937, 547, 519, 1592, 3100, 547, 581, 15738, 538, 513, 1114, 4287, 269, 1280, 713, 2601, 267, 1297, 1614, 568, 849, 1572, 883, 2243, 269, 3194, 883, 519, 824, 3584, 1131, 4324, 835, 543, 1614, 563, 7069, 6967, 5079, 267, 4849, 585, 1297, 1079, 267, 4308, 609, 1702, 13279, 543, 5924, 1702, 6041, 538, 930, 1259, 269, 594, 4312, 1500, 1100, 3801, 547, 12404, 519, 1249, 602, 594, 1589, 519, 4540, 2409, 540, 1702, 6041, 630, 7474, 594, 917, 827, 264, 616, 2484, 1932, 3908, 543, 711, 1360, 2487, 269, 2060, 938, 1163, 2105, 1620, 540, 23798, 267, 26381, 1108, 267, 543, 2780, 2257, 267, 649, 1131, 723, 2097, 909, 609, 513, 1732, 1505, 676, 1631, 269, 6182, 5896, 267, 594, 991, 547, 1224, 909, 593, 1018, 781, 1373, 1031, 267, 855, 594, 1832, 7487, 14604, 543, 1101, 1931, 7954, 1373, 5018, 269, 2755, 649, 723, 1454, 547, 1451, 689, 1142, 267, 1312, 723, 24966, 602, 723, 2943, 547, 581, 17251, 269, 0, 293, 880, 16983, 610, 3165, 7382, 568, 606, 8708, 609, 693, 2547, 835, 12001, 2427, 547, 3180, 543, 4159, 1216, 1673, 16946, 267, 2371, 543, 2831, 267, 1519, 3165, 563, 763, 7306, 540, 12748, 4620, 11149, 1376, 689, 1507, 835, 2148, 26633, 543, 13688, 27477, 269, 11426, 1500, 1857, 6864, 7559, 666, 3180, 5215, 540, 17529, 540, 1216, 269, 9282, 267, 4505, 519, 11149, 1373, 1500, 540, 4837, 1185, 19231, 538, 3337, 267, 609, 519, 8244, 540, 28778, 972, 568, 2789, 3903, 538, 519, 3337, 540, 519, 16983, 563, 763, 12145, 2188, 616, 8244, 540, 2230, 693, 1753, 610, 1870, 22402, 543, 7482, 585, 6718, 543, 5826, 540, 10130, 267, 3165, 16983, 267, 6763, 543, 17960, 269, 634, 15908, 626, 1590, 723, 22302, 942, 585, 519, 10130, 543, 693, 2547, 930, 25229, 21747, 1702, 538, 4620, 29867, 563, 10908, 817, 3165, 7382, 10908, 817, 3443, 525, 543, 4496, 14604, 941, 1031, 538, 4505, 6864, 7559, 269, 634, 11149, 941, 1500, 1216, 31259, 676, 15098, 519, 10549, 609, 12334, 269, 13536, 13545, 729, 5189, 607, 519, 13021, 656, 269, 769, 971, 11149, 267, 519, 4496, 7406, 3576, 1454, 540, 519, 2566, 543, 972, 941, 7928, 20984, 269, 2060, 519, 4417, 540, 30736, 519, 10549, 1063, 519, 4837, 533, 2033, 2968, 6109, 543, 782, 4837, 11149, 1223, 581, 1500, 269, 769, 930, 6864, 926, 4548, 519, 4496, 7406, 568, 17477, 585, 17033, 25798, 543, 12716, 4128, 563, 10907, 23359, 3165, 7382, 10907, 23359, 610, 12443, 9852, 14007, 8715, 659, 787, 17218, 264, 630, 15014, 7246, 264, 568, 513, 17426, 610, 695, 2660, 15033, 4244, 547, 21958, 4837, 269, 3600, 23359, 849, 814, 3152, 1764, 4222, 982, 519, 4837, 269, 898, 666, 581, 2759, 543, 8678, 883, 1585, 5546, 676, 19857, 2781, 906, 269, 898, 568, 4998, 585, 6864, 7559, 269, 4595, 28778, 568, 29779, 543, 811, 3362, 29565, 3481, 982, 4837, 267, 15072, 15033, 23541, 616, 1419, 3773, 547, 28778, 9212, 547, 2149, 873, 689, 29565, 2583, 563, 347, 1692, 547, 2973, 513, 3165, 12826, 2008, 347, 294, 10676, 20544, 12826, 2008, 347, 294, 6269, 344, 3165, 12826, 2008, 18871, 14211, 532, 4154, 8127, 12826, 2008, 21270, 24297, 3165, 12826, 2008, 347, 20112, 8127, 3165, 12826, 2008, 347, 19669, 6531, 7823, 1295, 852, 12826, 2008, 347, 7069, 20712, 2879, 841, 12826, 2008, 347, 28893, 21221, 13855, 2008, 347, 23325, 21221, 575, 537, 1090, 328, 2008, 293, 880, 7382, 7306, 543, 2010, 293, 880, 13688, 607, 1507, 607, 835, 2148, 4390, 616, 2139, 538, 2344, 269, 4329, 5180, 267, 15279, 21192, 543, 834, 299, 257, 8032, 6864, 7559, 666, 581, 5833, 269, 2201, 519, 2362, 2427, 519, 2597, 540, 1216, 814, 547, 581, 3144, 883, 2272, 585, 14335, 5458, 13688, 269, 2290, 2148, 540, 1216, 22179, 835, 13532, 269, 634, 11908, 13985, 10740, 267, 585, 1383, 267, 2934, 606, 1367, 8708, 540, 476, 277, 267, 4968, 267, 1822, 2475, 17529, 563, 347, 7775, 333, 4442, 3165, 7382, 2008, 347, 21080, 7244, 3165, 8198, 347, 5522, 520, 344, 3165, 1416, 8198, 30106, 7211, 3165, 3676, 8198, 24820, 638, 10740, 3165, 3676, 8198, 347, 15650, 540, 15195, 16983, 3165, 8198, 347, 7775, 333, 4442, 3165, 4214, 8198, 347, 5522, 520, 344, 3165, 1416, 8198, 347, 5522, 520, 344, 4758, 4332, 8198, 15862, 2707, 281, 679, 25769, 3820, 28293, 270, 17572, 281, 288, 3901, 619, 651, 318, 752, 341, 10740, 27970, 454, 12041, 281, 22176, 20795, 1677, 20795, 990, 12921, 383, 377, 1923, 17821, 281, 5398, 6389, 454, 14483, 1888, 281, 12551, 7382, 16983, 0, 18404, 28351, 19371, 16200, 518, 20537, 13082, 454, 12867, 723, 2813, 513, 1007, 2186, 540, 3441, 2389, 26985, 17285, 4837, 602, 949, 581, 27162, 615, 982, 1022, 824, 1634, 1570, 269, 634, 1007, 17285, 4837, 568, 513, 2890, 718, 1195, 10023, 23080, 18123, 267, 513, 4496, 609, 513, 1164, 834, 12712, 330, 3562, 1606, 515, 541, 257, 20765, 5223, 602, 4831, 9711, 519, 17271, 12766, 339, 30276, 540, 4837, 344, 2326, 563, 257, 10303, 540, 519, 1164, 13557, 3562, 1606, 515, 541, 29870, 5223, 540, 23080, 18123, 25202, 1570, 267, 519, 1648, 2877, 547, 1106, 19852, 13164, 568, 1454, 2539, 982, 519, 1648, 2838, 547, 2490, 891, 19852, 13164, 883, 18015, 2437, 681, 527, 2151, 3081, 269, 834, 763, 1267, 568, 602, 4837, 25457, 3573, 29010, 538, 3210, 547, 2566, 267, 3850, 621, 547, 18846, 2864, 982, 11523, 4799, 20573, 600, 720, 2389, 26985, 17285, 4837, 994, 1607, 2890, 23054, 540, 513, 632, 11526, 711, 577, 538, 23080, 18123, 2861, 17285, 4837, 2982, 3573, 5068, 31364, 540, 606, 7620, 8325, 11523, 269, 634, 1202, 564, 568, 513, 3172, 1881, 2070, 540, 513, 19852, 15558, 630, 5535, 264, 2919, 1282, 5068, 23510, 1354, 519, 11523, 8118, 563, 257, 4322, 2164, 1665, 519, 1101, 946, 540, 513, 1007, 4640, 585, 17285, 4837, 21753, 543, 649, 3494, 649, 666, 946, 621, 547, 1118, 4837, 602, 786, 581, 1256, 6793, 543, 811, 9157, 2437, 3081, 7917, 681, 527, 2151, 267, 513, 2326, 10196, 945, 3366, 519, 20588, 9295, 547, 519, 1382, 563, 257, 5978, 3014, 1631, 568, 547, 2119, 543, 8831, 713, 1935, 540, 1802, 1424, 3573, 29010, 1991, 547, 17795, 547, 824, 17285, 14296, 998, 2242, 538, 5888, 2437, 681, 527, 2151, 3081, 269, 834, 763, 1840, 540, 519, 23080, 18123, 2488, 938, 993, 6973, 748, 1570, 609, 606, 8966, 4390, 585, 3573, 5068, 31364, 6619, 540, 606, 6679, 11523, 269, 901, 8992, 513, 17795, 32297, 13380, 547, 1346, 540, 519, 27162, 4554, 2326, 1634, 269, 634, 4686, 4999, 540, 32297, 543, 4222, 267, 610, 3441, 10892, 267, 11498, 3564, 519, 25162, 9832, 3964, 676, 519, 27162, 4554, 543, 16999, 2326, 1634, 4799, 16631, 5708, 11655, 11291, 519, 12669, 13709, 817, 5656, 538, 519, 13371, 14816, 4528, 540, 21207, 29124, 538, 519, 476, 1839, 628, 11416, 269, 1306, 2484, 607, 594, 917, 267, 972, 568, 1100, 4704, 547, 834, 5471, 718, 13709, 817, 257, 538, 17722, 3767, 17427, 781, 476, 4572, 279, 3209, 14022, 3042, 18484, 281, 476, 25240, 280, 267, 799, 5189, 21207, 29124, 547, 519, 1158, 563, 296, 849, 2219, 540, 519, 13486, 540, 4837, 689, 7917, 18234, 6199, 781, 476, 3192, 271, 3134, 11345, 1650, 563, 24718, 547, 519, 4837, 924, 2938, 538, 3798, 12107, 16803, 630, 663, 4440, 824, 264, 2984, 282, 621, 568, 1031, 607, 513, 1570, 585, 12001, 19389, 16654, 31238, 585, 2230, 1606, 7057, 267, 543, 607, 513, 2679, 1570, 912, 763, 6833, 571, 23392, 11542, 538, 513, 4677, 693, 519, 6316, 540, 4884, 267, 18651, 1154, 519, 7599, 26569, 1799, 3748, 540, 519, 9390, 269, 901, 1350, 7867, 532, 4837, 3625, 267, 2523, 3710, 547, 8597, 547, 519, 15805, 4123, 689, 3047, 267, 729, 3047, 8410, 1288, 539, 3330, 2483, 763, 1747, 1185, 4837, 924, 6821, 543, 18109, 267, 543, 729, 2966, 547, 2285, 606, 12705, 540, 519, 10188, 8115, 540, 513, 2230, 1606, 1222, 563, 263, 5804, 634, 2622, 609, 513, 23897, 663, 7720, 976, 676, 3798, 12107, 16803, 12467, 309, 807, 6997, 28805, 282, 7064, 547, 12736, 23025, 932, 2426, 585, 519, 9133, 543, 519, 4704, 585 ]

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

[ 610, 12748, 7068, 267, 1082, 1004, 616, 18516, 827, 875, 789, 1058, 581, 5701, 593, 513, 2732, 602, 2882, 3165, 267, 971, 607, 513, 26240, 13906, 4115, 2732, 269, 4014, 789, 666, 1205, 575, 1807, 538, 998, 741, 18261, 267, 575, 1807, 1522, 581, 2352, 547, 2097, 676, 538, 824, 6753, 563, 1432, 798, 623, 525, 13906, 12579, 3548, 585, 14254, 888, 2691, 621, 2501, 547, 6220, 1034, 6093, 14254, 3688, 883, 513, 26240, 13906, 4115, 2732, 267, 519, 1434, 3377, 568, 602, 5798, 616, 835, 540, 519, 15864, 547, 11753, 269, 16639, 602, 666, 581, 10057, 593, 513, 26240, 13906, 4115, 2732, 1331, 519, 1739, 912, 268, 12551, 267, 32729, 267, 5613, 267, 5388, 267, 22053, 267, 10683, 630, 1122, 7714, 267, 18506, 267, 10381, 267, 5144, 1070, 5452, 543, 10808, 267, 543, 24799, 616, 930, 540, 519, 3536, 2139, 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 ]

[ 0, 12163, 31176, 495, 418, 490, 485, 20644, 476, 4962, 269, 17276, 505, 379, 29004, 351, 419, 358, 374, 21550, 376, 454, 13644, 371, 14395, 508, 27064, 364, 22047, 16583, 30936, 8147, 418, 488, 488, 21211, 31033, 4970, 366, 521, 476, 18809, 7511, 30006, 493, 14748, 419, 358, 374, 21550, 376, 418, 505, 379, 29004, 351, 29873, 257, 260, 736, 257, 12486, 19638, 419, 353, 374, 28032, 489, 476, 272, 16088, 692, 27447, 24662, 16088, 338, 815, 834, 2171, 616, 6126, 4799, 27447, 24731, 16088, 257, 2171, 260, 736, 732, 260, 736, 327, 7026, 3010, 454, 30522, 494, 10254, 370, 16088, 692, 271, 10922, 521, 476, 7511, 421, 499, 379, 18021, 355, 10922, 476, 1911, 876, 692, 20881, 504, 13213, 485, 418, 361, 350, 12255, 13199, 267, 5952, 277, 418, 493, 494, 11590, 353, 418, 361, 350, 12255, 272, 454, 20701, 454, 5035, 8827, 912, 825, 1219, 5372, 22129, 4311, 267, 521, 2187, 1038, 991, 23919, 815, 834, 4840, 1038, 585, 1775, 538, 521, 912, 2018, 952, 1775, 2652, 834, 834, 912, 3546, 991, 23919, 6834, 834, 260, 736, 4840, 2018, 3116, 912, 3546, 991, 23919, 6834, 1775, 454, 1038, 2132, 991, 23919, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 521, 815, 834, 2171, 616, 6126, 4799, 825, 3070, 815, 8827, 4590, 825, 1820, 4433, 1828, 18622, 2897, 22129, 4433, 4917, 0, 5814, 4351, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 2316, 300, 2464, 318, 15674, 318, 3918, 14154, 2969, 815, 476, 1015, 1262, 277, 454, 299, 2894, 294, 8025, 815, 476, 273, 454, 290, 7728, 2207, 815, 1496, 271, 267, 271, 2639, 343, 326, 17342, 316, 1948, 323, 604, 710, 5044, 547, 1832, 1448, 602, 538, 5858, 454, 17789, 17342, 2639, 343, 978, 17342, 316, 258, 323, 604, 710, 5044, 547, 1832, 1448, 602, 711, 538, 5858, 454, 344, 978, 17342, 6540, 3698, 538, 6831, 22511, 263, 4812, 2187, 825, 1535, 815, 1448, 314, 271, 2639, 825, 586, 815, 1448, 314, 272, 2639, 825, 4099, 13448, 815, 595, 7728, 2207, 314, 271, 2639, 825, 4099, 14729, 815, 595, 7728, 2207, 314, 272, 2639, 825, 8953, 815, 700, 2894, 294, 8025, 270, 273, 454, 825, 2132, 630, 343, 910, 4099, 13448, 264, 1262, 273, 1341, 630, 344, 910, 4099, 14729, 264, 1262, 273, 2999, 8953, 1262, 273, 1948, 13765, 1448, 602, 1044, 4351, 616, 538, 5858, 454, 3698, 711, 1103, 6831, 22511, 263, 4812, 2187, 825, 1535, 815, 1448, 314, 271, 2639, 825, 586, 815, 1448, 314, 272, 2639, 825, 4099, 13448, 815, 595, 7728, 2207, 314, 271, 2639, 825, 4099, 14729, 815, 595, 7728, 2207, 314, 272, 2639, 825, 8953, 815, 700, 2894, 294, 8025, 270, 273, 454, 825, 2132, 630, 343, 910, 4099, 13448, 264, 1262, 273, 1341, 630, 344, 910, 4099, 14729, 264, 1262, 273, 13843, 8953, 1262, 273, 258, 13765, 1448, 602, 1044, 4351, 616, 711, 538, 5858, 454, 12248, 815, 3330, 18045, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 2316, 300, 2464, 318, 15674, 318, 3918, 14154, 2969, 2187, 825, 1448, 815, 4351, 26509, 6134, 263, 271, 267, 272, 1070, 12690, 26509, 6134, 263, 272, 267, 271, 264, 1948, 12690, 1448, 538, 1627, 272, 454, 825, 952, 538, 6831, 22511, 263, 4812, 2187, 1038, 3330, 18045, 6834, 476, 272, 454, 1038, 1535, 326, 6910, 263, 4812, 314, 271, 8079, 1948, 18141, 1448, 538, 5044, 547, 4729, 3113, 454, 1038, 586, 326, 6910, 263, 4812, 314, 272, 7481, 825, 8640, 711, 1103, 6831, 22511, 263, 4812, 2187, 1038, 1535, 978, 6910, 263, 4812, 314, 271, 8079, 258, 18141, 1448, 538, 5044, 547, 4729, 3113, 454, 1038, 586, 978, 6910, 263, 4812, 314, 272, 7481, 825, 1293, 6834, 476, 272, 692, 7032, 815, 630, 1231, 728, 18045, 1315, 1293, 264, 2608, 476, 275, 454, 2745, 263, 7032, 994, 10823, 31892, 2660, 3287, 326, 11971, 326, 267, 10233, 6889, 326, 8442, 1948, 3073, 1400, 4729, 3113, 538, 12297, 609, 3039, 630, 514, 5858, 994, 10823, 19502, 3287, 978, 11971, 978, 267, 8339, 3299, 10233, 6889, 337, 8442, 258, 3698, 710, 547, 4729, 3113, 538, 12297, 609, 2699, 630, 2254, 538, 5858, 994, 10823, 20481, 3890, 258, 1729, 1397, 3113, 602, 814, 1044, 4729, 0, 12163, 1607, 3758, 3568, 3252, 585, 10451, 543, 2357, 4328, 32518, 3722, 338, 563, 20701, 258, 3044, 454, 5814, 19474, 12221, 454, 5814, 554, 332, 659, 7531, 3698, 554, 332, 659, 318, 2102, 4733, 31107, 267, 10750, 3667, 2187, 825, 8173, 825, 9198, 919, 606, 32518, 3722, 585, 519, 10750, 3667, 609, 519, 1883, 563, 825, 8173, 825, 554, 815, 554, 332, 659, 269, 2908, 31107, 267, 20444, 326, 284, 21622, 3667, 267, 7558, 7116, 284, 327, 1662, 12221, 11075, 320, 16348, 994, 825, 554, 269, 26303, 263, 21622, 3667, 994, 825, 2132, 554, 6155, 580, 652, 30800, 3698, 554, 332, 659, 318, 591, 1518, 31107, 267, 10750, 3667, 267, 15040, 2187, 825, 8173, 825, 9198, 919, 519, 32518, 3722, 585, 519, 10750, 3667, 609, 519, 1883, 1996, 519, 15040, 563, 825, 8173, 825, 554, 815, 554, 332, 659, 269, 2908, 31107, 267, 20444, 326, 284, 21622, 3667, 267, 7558, 7116, 284, 327, 1662, 12221, 11075, 320, 16348, 994, 825, 554, 269, 26303, 263, 21622, 3667, 994, 825, 2132, 554, 6155, 580, 652, 3890, 2652, 15040, 454, 0, 258, 19530, 911, 17532, 609, 1948, 5897, 1721, 1775, 538, 2039, 263, 275, 8029, 825, 585, 795, 538, 2039, 9217, 266, 272, 8029, 1038, 1820, 2891, 258, 2580, 754, 284, 3269, 3418, 825, 1820, 31476, 258, 1410, 9052, 1079, 568, 8228, 513, 267, 629, 267, 29582, 267, 629, 7251, 538, 911, 17532, 3898, 23228, 258, 23921, 547, 5659, 811, 547, 2347, 519, 3635, 23228, 343, 284, 3488, 320, 12887, 321, 12887, 322, 12887, 323, 262, 10142, 1721, 1775, 538, 1535, 6769, 825, 1820, 9217, 267, 754, 284, 3269, 10142, 0, 258, 22998, 609, 5044, 5897, 5814, 5044, 607, 2855, 1477, 10094, 815, 2855, 15126, 3488, 328, 3299, 314, 272, 267, 274, 267, 275, 267, 276, 29573, 1721, 1775, 538, 2039, 263, 275, 8029, 825, 1820, 263, 10094, 5157, 316, 10142, 258, 21093, 2418, 689, 519, 3593, 547, 519, 5044, 5897, 5814, 5044, 607, 2855, 1477, 514, 1551, 815, 1551, 15126, 3488, 328, 3299, 26514, 3418, 6352, 1551, 25507, 9272, 2891, 11767, 3259, 540, 519, 5044, 281, 8442, 3418, 1721, 552, 538, 2039, 12759, 1551, 8029, 825, 1535, 25507, 9272, 2891, 11767, 1871, 547, 519, 5044, 281, 8442, 3418, 825, 538, 1551, 6910, 3287, 3418, 2745, 263, 514, 1551, 3418, 5897, 258, 14142, 519, 1871, 540, 519, 5044, 1477, 338, 337, 577, 1998, 815, 703, 9272, 2891, 11767, 519, 1871, 540, 519, 5044, 547, 3406, 281, 8442, 3418, 330, 284, 271, 1477, 1721, 1775, 538, 2039, 12759, 263, 514, 1551, 264, 8029, 825, 795, 284, 328, 266, 272, 1477, 825, 952, 538, 1551, 5157, 316, 2525, 338, 337, 577, 1998, 6769, 1038, 1820, 2891, 19368, 6818, 538, 5044, 14744, 1038, 737, 284, 272, 1477, 1038, 1820, 263, 514, 1551, 5157, 29573, 1038, 2736, 1477, 825, 8640, 630, 329, 2525, 6352, 263, 514, 1551, 264, 543, 737, 2525, 271, 8029, 1038, 1820, 2891, 19368, 711, 6818, 538, 5044, 14744, 5897, 5897, 5897, 5897, 0, 26611, 16535, 270, 7090, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 18411, 9596, 547, 946, 7510, 300, 784, 334, 692, 825, 7510, 300, 784, 334, 2703, 338, 281, 2999, 10059, 2517, 777, 328, 6230, 784, 617, 321, 2593, 270, 7090, 270, 9690, 270, 11417, 825, 589, 2596, 1383, 568, 607, 5205, 563, 18257, 692, 1029, 10461, 1029, 815, 1412, 313, 28702, 2641, 28847, 5814, 533, 2096, 784, 334, 454, 5814, 533, 2745, 692, 332, 784, 334, 295, 739, 815, 1412, 29985, 10676, 7055, 332, 784, 334, 21545, 815, 476, 17734, 1704, 454, 332, 784, 334, 27165, 815, 1412, 639, 20713, 7055, 332, 784, 334, 27879, 5320, 815, 1412, 10139, 5320, 28847, 743, 1304, 815, 533, 2096, 784, 334, 8160, 784, 334, 5141, 1304, 263, 10676, 284, 332, 784, 334, 295, 739, 267, 2823, 284, 332, 784, 334, 21545, 267, 27024, 284, 332, 784, 334, 27165, 267, 10957, 284, 332, 784, 334, 27879, 5320, 994, 27219, 815, 7817, 6745, 652, 24174, 454, 3712, 3005, 815, 24563, 6745, 652, 8624, 3005, 7531, 258, 418, 493, 496, 24662, 14395, 508, 28032, 489, 454, 14006, 815, 13634, 476, 1412, 318, 573, 9166, 1412, 11687, 22779, 476, 1412, 27583, 9166, 1412, 11687, 22779, 476, 1412, 3667, 9166, 1412, 11687, 7696, 22779, 476, 1412, 11845, 9166, 1412, 1001, 279, 268, 6187, 268, 1691, 7055, 10926, 339, 787, 912, 825, 4015, 27044, 318, 821, 9638, 739, 994, 21955, 533, 2096, 784, 334, 269, 518, 5558, 6185, 340, 12393, 7659, 13286, 912, 825, 1820, 3488, 2704, 2819, 11540, 256, 5073, 12828, 912, 825, 1820, 3488, 14006, 256, 5073, 325, 3373, 912, 825, 533, 2745, 269, 653, 11781, 263, 3712, 3005, 26098, 318, 821, 20719, 262, 318, 573, 9166, 1412, 11687, 262, 348, 4917, 0, 5228, 10070, 1104, 9949, 18743, 454, 258, 1729, 1118, 513, 7755, 659, 1890, 1592, 692, 5035, 8641, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 13872, 1038, 1582, 3052, 1429, 284, 29239, 18743, 17338, 2020, 1038, 1948, 32697, 3113, 607, 606, 7755, 659, 1890, 1592, 7531, 825, 1219, 3773, 613, 4311, 267, 340, 267, 341, 17107, 1038, 1582, 3052, 1429, 314, 340, 4940, 6572, 17635, 2020, 1038, 1948, 10472, 1039, 6316, 547, 519, 3113, 692, 8931, 825, 1219, 546, 12028, 6665, 1243, 4311, 267, 341, 267, 6665, 1243, 17107, 1038, 1948, 5658, 6843, 607, 10272, 543, 1820, 621, 692, 1038, 10272, 314, 341, 24557, 12148, 454, 1038, 1820, 17635, 2020, 1038, 1948, 1234, 2017, 585, 782, 519, 14622, 11105, 547, 3097, 1038, 1948, 713, 14584, 692, 1038, 585, 1775, 538, 1582, 3052, 1429, 314, 341, 13912, 1948, 14725, 585, 1003, 540, 14622, 454, 2018, 952, 10272, 5157, 316, 2525, 16178, 912, 3546, 1582, 269, 4206, 338, 6665, 1243, 9217, 267, 6665, 1243, 9239, 825, 1219, 546, 12028, 4311, 2187, 1038, 26725, 284, 6352, 4311, 3052, 1429, 264, 258, 20135, 14622, 692, 1038, 1948, 5658, 782, 607, 711, 10272, 692, 1038, 10272, 17342, 16178, 316, 16732, 339, 341, 994, 13872, 1038, 1948, 11910, 519, 25276, 25961, 1599, 547, 1820, 3097, 453, 453, 258, 667, 12396, 21986, 531, 4358, 689, 782, 14622, 835, 3097, 453, 453, 258, 676, 835, 8528, 1038, 585, 1775, 538, 2039, 6025, 341, 2187, 2018, 952, 10272, 5157, 316, 2525, 16178, 912, 3546, 1582, 269, 4206, 338, 6665, 1243, 9217, 267, 6665, 1243, 2020, 1038, 1948, 604, 3113, 568, 711, 30890, 649, 21645, 991, 713, 8520, 454, 1038, 1948, 6665, 1243, 815, 1496, 16178, 316, 2608, 630, 6352, 4311, 3052, 1429, 4297, 3097, 453, 453, 258, 1345, 269, 5263, 24746, 339, 559, 17635, 267, 10272, 264, 8528, 258, 10852, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 9166, 3097, 825, 575, 284, 20877, 4590, 825, 1247, 263, 272, 2187, 1038, 1820, 2891, 272, 14491, 6316, 476, 273, 31428, 476, 274, 14714, 641, 5602, 1038, 1535, 25507, 9272, 15405, 1038, 952, 1535, 2525, 272, 912, 2018, 1820, 2891, 19152, 740, 613, 281, 5602, 2018, 513, 25507, 9272, 15405, 2018, 536, 25507, 9272, 15405, 2018, 575, 14491, 10955, 613, 5416, 14720, 2020, 1038, 8640, 1535, 2525, 273, 912, 2018, 575, 269, 4206, 338, 4590, 2018, 1820, 19629, 333, 15419, 1038, 8640, 1535, 2525, 274, 912, 2018, 2736, 692, 1038, 3116, 912, 2018, 3136, 454, 0, 5228, 1187, 551, 8962, 1104, 561, 745, 6831, 5995, 692, 287, 331, 745, 6831, 5995, 263, 1911, 271, 2020, 3698, 4017, 20906, 3799, 2187, 825, 952, 562, 2525, 272, 912, 1038, 2132, 476, 272, 454, 825, 8640, 562, 2525, 273, 912, 1038, 2132, 476, 272, 454, 825, 8640, 562, 285, 273, 912, 11434, 2132, 4017, 20906, 3799, 268, 272, 11924, 325, 756, 20906, 3799, 268, 273, 994, 343, 25507, 9272, 15405, 1721, 562, 538, 2039, 630, 272, 21726, 266, 272, 2187, 825, 1820, 3799, 2437, 24333, 325, 756, 20906, 3799, 11723, 258, 2875, 815, 314, 2891, 345, 1695, 597, 2580, 2641, 267, 276, 269, 272, 267, 272, 13211, 258, 9497, 339, 732, 330, 2580, 2420, 267, 276, 269, 276, 267, 273, 13211, 258, 9497, 904, 3873, 2580, 2537, 267, 276, 269, 272, 267, 274, 264, 6540, 258, 2450, 284, 14433, 2875, 281, 2875, 314, 272, 6540, 258, 2875, 31699, 31107, 284, 21653, 267, 516, 2091, 18989, 994, 258, 1820, 263, 30700, 264, 0, 3698, 7989, 583 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 543, 10943, 5793, 20178, 1137, 630, 288, 264, 941, 7074, 269, 6156, 539, 29821, 630, 6311, 264, 540, 519, 2634, 4951, 1896, 29769, 545, 15087, 538, 1312, 8280, 7371, 12742, 543, 1318, 6147, 31616, 630, 289, 1040, 853, 20942, 19905, 28857, 729, 31796, 689, 1973, 543, 6147, 321, 4592, 335, 1400, 5714, 269, 3690, 525, 23569, 20192, 18201, 25086, 7000, 513, 1804, 5378, 1537, 11896, 10664, 630, 290, 264, 799, 729, 13604, 6569, 4907, 1227, 630, 291, 267, 3046, 815, 476, 272, 4699, 1040, 589, 11632, 11571, 476, 274, 4374, 1310, 3355, 2589, 4951, 26252, 5250, 609, 4334, 19349, 543, 6825, 30046, 630, 292, 1916, 23966, 568, 3361, 676, 4551, 610, 13271, 602, 8936, 547, 543, 3441, 519, 1439, 18201, 1756, 610, 519, 14382, 4854, 11896, 543, 1332, 883, 3543, 725, 7893, 909, 547, 1896, 17744, 538, 2450, 269, 1403, 2451, 15860, 267, 9552, 540, 519, 2295, 11896, 6038, 5012, 547, 2295, 5821, 543, 2669, 269, 1290, 4124, 267, 552, 3052, 269, 8482, 267, 666, 8451, 950, 2377, 10008, 2736, 1055, 689, 519, 10664, 543, 29473, 2850, 1973, 8043, 267, 3056, 547, 1102, 541, 794, 540, 519, 4096, 656, 19548, 5160, 563, 300, 15412, 5735, 540, 594, 292, 454, 6624, 4551, 543, 13271, 666, 2014, 594, 292, 267, 930, 540, 799, 616, 7396, 609, 741, 2949, 4908, 540, 10072, 538, 7305, 476, 2537, 269, 273, 269, 7756, 4791, 2175, 3870, 1978, 17973, 267, 552, 3052, 269, 1318, 21758, 1439, 18201, 4345, 538, 13297, 3075, 3755, 568, 4122, 3361, 676, 853, 20942, 19905, 28857, 630, 285, 3199, 22103, 769, 2550, 609, 14382, 4854, 2295, 17901, 267, 2038, 268, 976, 564, 14382, 4854, 11896, 1439, 18201, 4345, 630, 11901, 292, 264, 630, 328, 4318, 269, 1447, 982, 476, 1321, 3275, 1310, 6391, 264, 568, 811, 1419, 3361, 676, 30243, 592, 848, 24308, 588, 20942, 25497, 857, 630, 1575, 547, 476, 2004, 260, 540, 782, 2665, 264, 982, 676, 590, 269, 28857, 543, 2205, 573, 753, 1895, 1792, 696, 25497, 857, 607, 568, 519, 2013, 538, 3735, 623, 12717, 1547, 4014, 16507, 13596, 616, 10355, 513, 2014, 540, 594, 292, 267, 15443, 5866, 610, 1306, 704, 326, 22346, 24094, 269, 949, 2049, 538, 6375, 665, 20234, 668, 2213, 2550, 563, 347, 309, 597, 573, 753, 1895, 1792, 696, 25497, 857, 1475, 2641, 260, 2008, 347, 1805, 516, 696, 19905, 7086, 32673, 639, 630, 306, 269, 536, 990, 529, 10534, 276, 260, 2008, 347, 294, 1090, 24308, 20659, 536, 659, 650, 328, 630, 10175, 4551, 540, 519, 670, 19781, 298, 1895, 265, 10534, 273, 260, 2008, 26180, 2426, 328, 630, 324, 3052, 269, 15443, 5866, 24094, 1421, 1306, 704, 326, 22346, 24094, 4700, 1475, 272, 260, 2008, 27039, 593, 519, 1757, 894, 7103, 1114, 4791, 6030, 666, 581, 4767, 269, 590, 269, 28857, 543, 1447, 4749, 6790, 696, 19905, 16415, 324, 267, 543, 9373, 27627, 576, 2801, 971, 607, 18521, 615, 747, 807, 19546, 610, 21890, 2125, 328, 7578, 16415, 324, 267, 616, 2404, 609, 606, 8650, 1576, 543, 1164, 9019, 630, 328, 4318, 269, 8650, 1439, 18201, 4345, 1040, 14904, 609, 594, 292, 1813, 547, 4283, 25497, 857, 610, 2205, 573, 753, 1895, 1792, 696, 25497, 857, 2356, 1867, 1896, 4374, 540, 2589, 1354, 513, 4791, 5868, 568, 1500, 630, 328, 4318, 269, 1016, 659, 1393, 1439, 18201, 4345, 1916, 32747, 19809, 543, 26616, 7600, 4997, 538, 594, 292, 454, 32747, 4191, 543, 2589, 585, 594, 292, 616, 3810, 4756, 543, 1419, 22801, 269, 674, 1197, 267, 2295, 9597, 332, 584, 267, 4731, 320, 1047, 267, 30604, 267, 2597, 2530, 267, 3781, 4418, 1846, 267, 543, 1250, 28101, 949, 610, 949, 711, 2049, 269, 634, 4791, 1576, 666, 581, 8650, 610, 1016, 659, 1393, 630, 5408, 1657, 1040, 4475, 267, 594, 292, 568, 1419, 6444, 3735, 267, 552, 3052, 269, 950, 8374, 723, 7018, 563, 2414, 7520, 5868, 540, 594, 292, 267, 10368, 7355, 723, 1044, 2919, 269, 3245, 519, 2164, 540, 519, 4791, 6514, 267, 1973, 4529, 267, 543, 16953, 9196, 630, 2181, 2536, 2406, 1098, 525, 23569, 20192, 18201, 25086, 267, 570, 7417, 264, 513, 4791, 6060, 568, 6508, 602, 6257, 519, 10171, 540, 594, 292, 538, 513, 1808, 3461, 630, 324, 3052, 269, 9168, 16099, 7355, 267, 1294, 13340, 476, 2537, 269, 272, 1916, 763, 5868, 540, 594, 292, 568, 17386, 950, 630, 272, 264, 27690, 8276, 2222, 6798, 1670, 6514, 540, 10664, 2982, 3742, 1439, 18201, 4345, 267, 630, 273, 264, 1079, 2101, 7355, 267, 610, 630, 274, 264, 835, 2101, 543, 1614, 5634, 267, 610, 630, 275, 264, 2947, 5634, 7355, 616, 1558, 269, 594, 292, 568, 2009, 950, 630, 272, 264, 835, 2101, 543, 835, 5634, 610, 630, 273, 264, 1614, 5634, 7355, 616, 1558, 269, 898, 568, 15653, 950, 630, 272, 264, 513, 6109, 4244, 5868, 7713, 2963, 540, 594, 292, 267, 610, 630, 273, 264, 6571, 540, 594, 292, 6794, 609, 18016, 275, 2395, 540, 4550, 2173, 17853, 2126, 267, 610, 630, 274, 264, 1100, 27690, 2963, 540, 594, 292, 693, 6391, 610, 1313, 641, 1910, 609, 18016, 275, 2395, 540, 4550, 2173, 17853, 2126, 267, 610, 630, 275, 264, 7355, 585, 2009, 610, 17386, 594, 292, 616, 711, 1558, 563, 26108, 2528, 2318, 585, 594, 292, 454, 23777, 673, 2890, 6716, 1143, 5812, 609, 594, 292, 9678, 689, 1079, 5094, 1973, 4529, 630, 341, 597, 573, 753, 1895, 1792, 696, 25497, 857, 267, 6790, 696, 19905, 7086, 32673, 639, 630, 2181, 16227, 590, 269, 536, 990, 529, 1070, 670, 19781, 298, 1895, 267, 853, 20942, 19905, 28857, 267, 610, 2146, 14092, 638, 1600, 4283, 25497, 857, 267, 538, 519, 9000, 540, 513, 3119, 1445, 5148, 610, 454, 332, 2222, 6716, 1143, 5812, 609, 594, 292, 689, 6414, 1836, 2318, 1973, 4529, 630, 3698, 1441, 607, 693, 2547, 1079, 2318, 4529, 540, 1973, 5439, 6537, 3436, 1321, 3108, 6306, 282, 610, 782, 540, 1614, 610, 513, 5354, 540, 2185, 610, 811, 5094, 4529, 540, 1973, 267, 609, 1101, 543, 2063, 3732, 6537, 693, 2547, 476, 272, 5662, 6306, 5148, 610, 454, 338, 17532, 2318, 1973, 2528, 585, 30532, 328, 7578, 6633, 564, 4512, 610, 606, 4550, 25686, 594, 16384, 294, 17193, 512, 3438, 630, 285, 272, 281, 8517, 994, 18128, 2064, 540, 1439, 18201, 658, 9525, 454, 292, 577, 18201, 328, 6945, 2318, 585, 594, 292, 265, 3989, 607, 5205, 281, 14251, 908, 703, 2350, 731, 13519, 2527, 593, 11896, 610, 5885, 3889, 267, 538, 519, 2619, 540, 1036, 4026, 26938, 32062, 267, 610, 593, 5579, 5896, 1570, 538, 519, 9000, 540, 606, 4244, 20133, 5669, 7778, 282, 26252, 282, 1007, 9864, 632, 327, 4593, 775, 540, 14382, 4854, 11896, 282, 610, 454, 2908, 1130, 341, 983, 1036, 4026, 2787, 630, 342, 832, 2287, 610, 4657, 540, 840, 25365, 9597, 332, 584, 711, 6190, 994, 303, 1042, 529, 6570, 630, 335, 1042, 529, 19397, 2295, 2783, 610, 13297, 3075, 946, 994, 293, 1197, 630, 339, 17687, 3436, 4343, 9180, 994, 28899, 27555, 2377, 10008, 267, 23170, 17422, 1102, 541, 551, 338, 267, 1250, 322, 5328, 31729, 332, 267, 703, 2350, 31424, 20178, 720, 267, 31792, 2526, 20178, 720, 267, 543, 3967, 1168, 599, 15087, 454, 10908, 9593, 592, 517, 32397, 8539, 267, 14642, 2401, 9136, 267, 681, 1054, 9634, 267, 543, 27131, 3815, 454, 31339, 1973, 2528, 267, 855, 1281, 711, 2743, 513, 2101, 21205, 1262, 610, 1583, 1670, 2963, 540, 3742, 3968, 609, 11248, 5812, 609, 594, 292, 454, 292, 577, 18201, 328, 4919, 5634, 21205, 17515, 454, 265, 3690, 525, 23569, 20192, 18201, 25086, 630, 307, 7417, 264, 5227, 538, 2550, 609, 14382, 4854, 17901, 267, 15951, 693, 2547, 968, 335, 6372, 594, 292, 892, 676, 4791, 7355, 267, 610, 7294, 594, 292, 630, 1706, 10052, 341, 983, 26252, 1040, 570, 15288, 607, 1101, 1449, 538, 824, 2550, 563, 10468, 9951, 673, 8374, 540, 594, 292, 616, 1455, 630, 12671, 476, 736, 1700, 2412, 8472, 543, 616, 2404, 609, 513, 8338, 6364, 1496, 1691, 267, 476, 1428, 4940, 1358, 1331, 8482, 267, 703, 2350, 31424, 610, 1016, 541, 778, 333, 18042, 20178, 720, 267, 23971, 4345, 267, 17465, 267, 29363, 14527, 267, 2634, 26252, 267, 543, 1250, 322, 5328, 31729, 332, 630, 325, 7528, 4293, 538, 7305, 476, 2537, 269, 274, 1040, 3509, 14715, 8374, 949, 979, 29462, 269, 769, 513, 1353, 676, 590, 5500, 1375, 5336, 691, 514, 1696, 620, 269, 6147, 15842, 341, 6018, 2621, 941, 9571, 676, 18909, 538, 476, 4792, 260, 540, 2550, 609, 2451, 21758, 594, 292, 267, 855, 4791, 2589, 941, 4767, 538, 1152, 476, 3374, 260, 540, 2550, 4586, 347, 22102, 2377, 4301, 8374, 1475, 6078, 260, 2008, 347, 9556, 4733, 270, 572, 3164, 2377, 4301, 8374, 1475, 1626, 260, 2008, 347, 13553, 776, 547, 2377, 4301, 2680, 1475, 274, 260, 2008, 31340, 340, 696, 3293, 1250, 322, 5328, 31729, 332, 1475, 273, 260, 2008, 26073, 14003, 540, 594, 292, 454, 23966, 568, 519, 1267, 540, 513, 1950, 5872, 1063, 2890, 6716, 1143, 267, 5119, 6675, 267, 543, 6676, 7410, 693, 519, 3135, 540, 1439, 18201, 658, 1591, 3441, 269, 634, 2619, 19398, 8344, 1184, 666, 581, 5258, 883, 1896, 5933, 281, 5250, 540, 1875, 1532, 17424, 24405, 5328, 1439, 18201, 4345, 630, 301, 6630, 292, 1070, 9190, 17091, 540, 519, 27295, 267, 543, 2208, 883, 3543, 725, 4586, 17484, 18201, 658, 3441, 568, 519, 4358, 1448, 540, 594, 292, 31630, 269, 898, 568, 3361, 676, 22787, 610, 9715, 2295, 3676, 602, 616, 2404, 609, 513, 24360, 1973, 2095, 269, 3973, 267, 27417, 514, 543, 6676, 7410, 616, 20024, 593, 911, 15436, 1242, 24690, 26375, 267, 799, 2164, 538, 715, 6630, 292, 269, 5843, 13060, 602, 723, 6591, 1569, 547, 519, 18072, 630, 321, 716, 699, 8926, 264, 543, 4865, 519, 2556, 2205, 18834, 2188, 949, 1631, 3935, 1125, 519, 27295, 267, 9062, 267, 543, 1291, 547, 594, 292, 563, 288, 7928, 2014, 540, 536, 716, 699, 8926, 568, 3441, 540, 519, 2960, 610, 513, 11940, 657, 531, 2627, 269, 634, 2960, 543, 11940, 657, 531, 7252, 267, 971, 607, 5711, 13570, 267, 13439, 2684, 28449, 267, 16063, 8778, 267, 23443, 628, 571, 267, 610, 29199, 267, 616, 20651, 676, 513, 10053, 1439, 18100, 18508, 609, 1082, 3309, 9190, 2249, 269, 4634, 513, 5634, 8194, 971, 607, 5694, 17678, 267, 513, 5694, 10868, 267, 610, 513, 3935, 545, 23707, 949, 1291, 547, 513, 10151, 5305, 540, 4551, 883, 519, 18072, 630, 10520, 1304, 536, 716, 699, 8926, 1916, 5475, 2348, 6591, 1569, 547, 519, 18072, 267, 594, 292, 27351, 6748, 13596, 15666, 547, 519, 715, 6630, 292, 269, 1520, 1127, 542, 547, 27417, 514, 543, 6676, 7410, 610, 547, 519, 2627, 540, 2564, 3457, 267, 971, 607, 5841, 2295, 17901, 267, 568, 19658, 676, 15451, 2627, 3334, 9301, 23287, 5119, 6675, 630, 5960, 10135, 4456, 300, 1070, 1082, 540, 799, 723, 1044, 4857, 538, 588, 20942, 25497, 857, 267, 1792, 696, 25497, 857, 267, 543, 4283, 25497, 857, 563, 16729, 28455, 267, 4551, 12954, 519, 18254, 540, 2417, 27417, 514, 543, 6676, 7410, 543, 513, 694, 7672, 26654, 568, 4646, 267, 799, 554, 1938, 4551, 689, 519, 3984, 6375, 1670, 8878, 269, 634, 14471, 17297, 4733, 543, 3132, 513, 5394, 11940, 559, 698, 29532, 30713, 21839, 728, 5119, 799, 568, 1572, 6915, 28291, 269, 769, 513, 6915, 28291, 1447, 982, 476, 1015, 260, 540, 4551, 7941, 8362, 543, 30506, 547, 1591, 3774, 268, 5562, 4550, 2173, 15412, 10118, 971, 607, 12498, 2000, 716, 4461, 543, 25026, 2100, 696, 1938, 568, 8519, 269, 4595, 4550, 2173, 15412, 10118, 991, 547, 23309, 519, 6915, 28291, 547, 3914, 519, 9190, 9072, 267, 6099, 4550, 2173, 17853, 2126, 609, 1164, 1673, 846, 3566, 20141, 8069, 568, 2629, 585, 513, 3811, 3797, 540, 594, 292, 563, 26073, 8328, 31469, 31327, 547, 853, 6593, 538, 594, 292, 454, 306, 614, 850, 610, 23170, 2377, 10008, 602, 22132, 689, 3543, 725, 543, 29473, 2850, 19548, 16209, 616, 513, 1455, 2014, 540, 8482, 538, 594, 292, 269, 6764, 1515, 618, 540, 519, 19548, 1973, 2095, 666, 1291, 547, 513, 23644, 29769, 545, 4323, 630, 2316, 288, 264, 610, 8482, 269, 13689, 593, 519, 31338, 543, 8653, 540, 4389, 1973, 2095, 267, 17122, 4791, 4191, 2049, 269, 1879, 2789, 2377, 10008, 29473, 2850, 1896, 4830, 8043, 267, 12947, 5914, 4791, 4191, 949, 1831, 7805, 563, 763, 2707, 540, 2377, 10008, 547, 519, 3844, 8401, 1062, 568, 2356, 519, 2451, 2295, 267, 689 ]

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

[ 9875, 713, 1032, 543, 581, 5462, 547, 2744, 930, 4324, 269, 769, 14713, 267, 596, 1058, 25525, 3585, 979, 4464, 2864, 982, 18956, 269, 898, 12582, 1405, 581, 602, 267, 834, 2691, 596, 723, 6594, 13221, 585, 835, 1032, 267, 519, 17700, 568, 1318, 538, 4395, 540, 596, 269, 1879, 596, 6594, 13221, 585, 4557, 1296, 267, 519, 17700, 568, 2484, 2476, 593, 519, 16880, 1701, 1411, 11129, 547, 581, 811, 24526, 543, 811, 25442, 609, 1142, 8429, 1554, 269, 8307, 1287, 786, 596, 723, 930, 22920, 563, 296, 723, 1776, 4062, 540, 1434, 3377, 547, 2995, 3025, 269, 1284, 723, 1079, 645, 6062, 802, 327, 639, 945, 616, 3257, 513, 834, 22764, 3268, 835, 6367, 257, 31145, 547, 22208, 538, 1931, 547, 7281, 585, 1158, 4708, 269, 3767, 972, 786, 711, 581, 1022, 1390, 12469, 538, 519, 1158, 269, 1703, 1522, 581, 930, 5634, 32657, 2355, 267, 855, 4986, 547, 5855, 827, 269, 1452, 1079, 645, 6062, 802, 327, 639, 723, 20328, 519, 29500, 540, 22038, 267, 1818, 621, 865, 602, 972, 616, 1454, 7864, 1004, 12955, 538, 519, 1158, 982, 972, 1058, 723, 1044, 269, 15526, 693, 7108, 13738, 3933, 2120, 344, 1058, 581, 3222, 540, 713, 267, 2523, 2094, 1079, 4374, 3516, 267, 649, 782, 1500, 513, 12247, 602, 16382, 519, 6367, 532, 26112, 941, 267, 621, 1223, 4764, 972, 2901, 519, 1554, 1354, 610, 519, 1554, 1310, 789, 941, 972, 267, 855, 711, 4764, 1247, 789, 941, 972, 269, 2107, 267, 621, 1223, 4764, 693, 3781, 267, 855, 711, 1282, 519, 24817, 267, 610, 3116, 621, 1131, 1118, 621, 1360, 3765, 30514, 585, 873, 269, 1452, 2175, 723, 2907, 1044, 24009, 269, 2991, 649, 1500, 602, 12247, 267, 972, 729, 1100, 811, 4764, 267, 855, 1152, 513, 2370, 20893, 269, 674, 690, 568, 711, 1454, 540, 513, 1966, 267, 855, 621, 1131, 581, 1732, 952, 519, 20893, 8709, 1639, 607, 1134, 269, 2334, 1131, 1118, 621, 4443, 585, 873, 547, 4163, 856, 741, 12247, 563, 5472, 540, 596, 1058, 1589, 621, 936, 281, 6736, 782, 519, 7092, 602, 789, 723, 547, 979, 998, 267, 789, 1869, 979, 6619, 543, 4019, 4674, 538, 14713, 269, 1215, 1281, 938, 973, 2787, 540, 519, 17700, 781, 2012, 16280, 5635, 547, 602, 286, 898, 666, 1405, 581, 2808, 7092, 676, 1022, 1797, 269, 4475, 267, 649, 11129, 547, 973, 924, 29367, 865, 649, 666, 12492, 519, 17700, 5589, 2787, 6341, 611, 6062, 563, 5475, 519, 11000, 568, 936, 267, 649, 786, 798, 519, 4279, 3690, 12401, 540, 8585, 527, 269, 3962, 835, 540, 596, 1058, 3142, 8521, 513, 3020, 267, 25442, 267, 543, 759, 5193, 2295, 547, 4483, 519, 20519, 269, 5213, 1405, 1577, 519, 942, 1780, 676, 538, 642, 664, 563, 2414, 581, 4797, 0, 2969, 307, 2894, 3582, 281, 634, 1007, 1753, 540, 519, 7913, 5983, 985, 923, 26264, 568, 693, 4179, 2517, 1150, 985, 923, 342, 5942, 11859, 344, 345, 28918, 23010, 267, 621, 781, 513, 25064, 2012, 267, 855, 621, 729, 10464, 563, 1607, 530, 5942, 786, 581, 2469, 22356, 18385, 538, 519, 2282, 2104, 269, 1323, 3169, 4266, 786, 581, 9307, 4166, 269, 11289, 596, 585, 1373, 513, 851, 540, 713, 2146, 563, 2252, 596, 6999, 547, 960, 593, 519, 1007, 2062, 985, 923, 342, 5942, 267, 5225, 6443, 519, 5616, 6828, 2062, 985, 923, 342, 5942, 3146, 9799, 454, 21886, 11736, 568, 513, 1797, 547, 1073, 325, 19895, 622, 1239, 606, 11769, 16858, 547, 2149, 547, 519, 1448, 621, 786, 1491, 513, 3791, 5428, 9645, 942, 547, 1569, 630, 20657, 7973, 264, 621, 269, 634, 2409, 540, 14238, 4268, 689, 18839, 524, 760, 1667, 547, 811, 2413, 2409, 971, 607, 3059, 524, 760, 1667, 799, 946, 606, 5690, 547, 1073, 325, 19895, 622, 519, 1239, 269, 4495, 519, 1239, 568, 24290, 621, 568, 1287, 5219, 547, 607, 29905, 1257, 269, 0, 294, 7275, 19663, 9669, 543, 31876, 454, 296, 2899, 13347, 519, 1753, 9174, 6194, 9992, 24471, 676, 6031, 602, 267, 607, 2484, 594, 729, 7255, 267, 9174, 2501, 689, 966, 4345, 24064, 32070, 543, 4986, 3116, 269, 12344, 594, 729, 15198, 513, 1448, 547, 1118, 1776, 267, 855, 519, 18812, 341, 710, 814, 26837, 22239, 3177, 18495, 609, 811, 5418, 553, 9092, 6704, 585, 811, 1296, 982, 1022, 824, 2030, 593, 519, 4541, 269, 898, 568, 2653, 547, 1332, 18812, 341, 1149, 13964, 9170, 602, 2833, 21230, 7646, 24475, 269, 1809, 547, 1332, 873, 1134, 2614, 547, 3132, 513, 18397, 7693, 2115, 2864, 811, 1416, 267, 543, 1247, 596, 6157, 666, 1118, 9174, 689, 4677, 3766, 3497, 18683, 267, 707, 1292, 1966, 786, 581, 835, 540, 2348, 4055, 547, 1332, 2614, 1729, 1118, 519, 3635, 26656, 269, 594, 4927, 13404, 267, 4061, 267, 593, 3395, 9205, 543, 8511, 30676, 585, 16434, 18397, 4829, 2504, 563, 19615, 6730, 570, 24688, 2464, 5508, 16998, 4338, 292, 454, 294, 7275, 3395, 585, 9174, 2504, 729, 5432, 547, 782, 540, 519, 3504, 3540, 31907, 543, 267, 4352, 519, 5169, 540, 519, 3552, 2030, 568, 7164, 267, 621, 4440, 1101, 8057, 538, 5045, 3887, 770, 2342, 610, 5045, 29891, 5607, 269, 3400, 701, 3395, 3262, 5087, 2072, 543, 7178, 2072, 267, 8757, 6628, 543, 824, 811, 14926, 615, 569, 2694, 540, 7262, 2342, 609, 519, 14564, 269, 4595, 1287, 267, 972, 723, 3592, 2141, 1044, 930, 11903, 29288, 538, 6628, 4352, 789, 723, 1044, 11658, 547, 519, 3665, 5045, 1282, 5712, 540, 20296, 4411, 563, 763, 1975, 8643, 1841, 3576, 30676, 547, 3345, 3013, 4352, 972, 616, 5065, 1977, 2249, 267, 1034, 16113, 966, 4345, 594, 629, 6350, 1723, 267, 966, 4345, 4232, 1495, 604, 16288, 543, 966, 4345, 8353, 2526, 529, 267, 602, 723, 8329, 1880, 4162, 547, 930, 2413, 8677, 269, 11524, 723, 1044, 1031, 547, 1020, 3597, 18450, 8677, 267, 2523, 1346, 602, 4159, 4187, 547, 519, 3597, 21428, 573, 6438, 11641, 24695, 961, 2135, 5028, 269, 901, 13442, 12303, 21933, 3438, 730, 3864, 11903, 29288, 538, 519, 3735, 5991, 12078, 2540, 543, 729, 7753, 1152, 676, 1210, 11259, 1977, 3597, 560, 4169, 5196, 799, 519, 1655, 543, 1034, 5402, 5697, 3864, 8677, 941, 21910, 539, 269, 4014, 513, 13357, 693, 519, 942, 267, 621, 7142, 513, 11826, 649, 5338, 856, 540, 2025, 543, 5266, 24631, 8677, 563, 3383, 559, 585, 18683, 1590, 581, 15417, 267, 5848, 543, 1134, 27071, 269, 1358, 786, 711, 8853, 538, 1360, 6094, 267, 791, 1478, 1639, 11934, 6862, 538, 1718, 1431, 267, 855, 30676, 20496, 9425, 1164, 30175, 6541, 543, 930, 540, 519, 1360, 1655, 18683, 2097, 689, 14680, 4609, 269, 21537, 2135, 1227, 267, 593, 25879, 344, 11934, 267, 811, 15755, 18812, 10433, 568, 3812, 269, 4014, 621, 568, 2009, 547, 1332, 18812, 341, 1149, 538, 11149, 267, 713, 568, 568, 2731, 1152, 25685, 950, 789, 616, 8036, 16887, 607, 4441, 282, 2407, 13355, 30676, 267, 1256, 1346, 6738, 538, 2073, 616, 1454, 1732, 12630, 538, 519, 2666, 267, 23295, 1175, 3544, 519, 2777, 609, 519, 1292, 6565, 8036, 538, 998, 513, 1507, 8559, 563, 294, 1905, 525, 1590, 723, 14246, 269, 20290, 782, 519, 2101, 9174, 3395, 4525, 540, 519, 1158, 9114, 1063, 4234, 6421, 476, 1789, 4113, 543, 476, 2004, 4113, 269, 1733, 12241, 713, 5088, 806, 1034, 540, 519, 2136, 2276, 267, 621, 608, 11079, 4516, 267, 6628, 543, 7187, 2342, 799, 616, 1932, 4411, 267, 543, 1034, 540, 4000, 543, 5245, 799, 616, 1932, 3905, 269, 21988, 18812, 3395, 13964, 5087, 540, 476, 2004, 4113, 301, 3340, 513, 12725, 3636, 267, 1352, 2741, 1229, 3135, 543, 513, 5045, 610, 5045, 29891, 2460, 267, 23295, 9425, 1863, 689, 2178, 12798, 269, 634, 3328, 4832, 2837, 1058, 581, 711, 1447, 982, 827, 476, 866, 9180, 630, 5780, 13790, 264, 543, 519, 3328, 5162, 2837, 711, 1447, 982, 827, 910, 272, 9180, 630, 1789, 13790, 1040, 769, 10651, 267, 18812, 341, 1149, 786, 3592, 2141, 581, 12630, 1996, 513, 3636, 3774, 2864, 982, 1863, 29280, 543, 713, 568, 519, 1505, 602, 594, 4782, 563, 763, 1292, 4170, 585, 18812, 8075, 616, 602, 789, 1058, 3068, 5045, 610, 5045, 29891, 543, 723, 6190, 2212, 4055, 547, 5512, 519, 2371, 547, 581, 8036, 5265, 269, 5637, 1863, 29280, 543, 10709, 3562, 3889, 616, 5078, 267, 4352, 519, 10709, 3562, 814, 519, 3773, 5413, 540, 2921, 14246, 689, 519, 7755, 334, 1456, 2679, 563, 4407, 513, 12699, 8511, 1131, 5512, 596, 547, 1332, 930, 540, 519, 20923, 1922, 15442, 10696, 18397, 18683, 630, 600, 784, 519, 865, 10777, 4053, 13906, 543, 15550, 748, 2516, 540, 8677, 1070, 594, 1810, 1406, 4363, 713, 269, 1358, 666, 581, 16602, 547, 1332, 543, 267, 540, 1576, 267, 519, 1942, 540, 3002, 2509, 519, 1439, 540, 519, 4005, 666, 581, 9645, 269, 476, 272, 18973, 7446, 519, 811, 25836, 8677, 585, 799, 1713, 8022, 568, 9444, 2556, 6862, 14909, 267, 543, 585, 799, 519, 8511, 1058, 23679, 581, 9738, 693, 513, 5934, 2837, 5594, 1657, 16171, 269, 6153, 14910, 568, 1360, 1271, 547, 7413, 663, 4829, 268, 8527, 1154, 22285, 338, 563, 12195, 3198, 16249, 6730, 9501, 3722, 5058, 454, 294, 7275, 341, 1149, 616, 1655, 12630, 538, 2038, 5162, 950, 789, 616, 4628, 26862, 269, 16259, 519, 9544, 2990, 609, 1134, 4232, 1540, 23226, 610, 11003, 543, 513, 1769, 19703, 540, 5642, 7594, 267, 543, 2030, 547, 519, 3178, 8612, 676, 873, 1046, 593, 519, 6565, 269, 32437, 519, 3037, 2476, 689, 519, 3490, 540, 519, 6565, 1310, 9544, 543, 1283, 909, 609, 513, 22890, 540, 11003, 267, 6978, 22285, 610, 23226, 269, 634, 9544, 2990, 1058, 581, 476, 736, 268, 1839, 9492, 630, 279, 268, 1015, 514, 264, 2476, 689, 519, 3774, 269, 5682, 5264, 30676, 616, 1655, 12630, 538, 4010, 519, 1482, 1259, 855, 1175, 3544, 835, 1439, 540, 519, 2777, 1287, 8036, 538, 998, 513, 8559, 538, 519, 3774, 269, 769, 1034, 10651, 543, 6157, 538, 1034, 3039, 17346, 267, 972, 786, 581, 2230, 585, 1152, 835, 2030, 282, 18812, 341, 1149, 616, 1582, 1922, 1068, 850, 865, 4829, 2504, 4465, 1406, 581, 4299, 269, 18830, 513, 1279, 3774, 13964, 2705, 267, 1141, 1079, 610, 811, 2371, 1223, 581, 6738, 267, 789, 1058, 581, 22274, 476, 273, 332, 630, 277, 1111, 264, 6306, 563, 24746, 13048, 3036, 4811, 267, 570, 6938, 2562, 5058, 6730, 11553, 7419, 5058, 454, 763, 1489, 585, 30676, 1590, 581, 7347, 267, 607, 513, 2030, 538, 2407, 6978, 543, 4829, 568, 1312, 5230, 543, 4439, 5652, 269, 18830, 513, 7299, 3774, 267, 8880, 12904, 1058, 581, 1031, 267, 22274, 476, 1789, 9492, 630, 1321, 514, 264, 6306, 909, 547, 519, 1283, 540, 519, 3774, 543, 12979, 1819, 609, 11903, 4064, 3458, 14954, 538, 547, 3774, 11690, 338, 269, 2422, 476, 1015, 15378, 2443, 476, 274, 269, 1428, 6515, 630, 272, 270, 279, 333, 264, 8006, 2443, 5068, 18396, 730, 2866, 5911, 269, 769, 513, 8511, 267, 519, 12904, 786, 991, 547, 581, 21401, 2059, 519, 3259, 540, 519, 2427, 6821, 540, 519, 2777, 543, 849, 4797, 909, 519, 8122, 9386, 267, 17956, 547, 519, 1350, 5074, 13063, 563, 2467, 616, 3875, 1949, 585, 2866, 18812, 341, 1149, 267, 930, 2919, 585, 1880, 8677, 267, 855, 594, 723, 1336, 1454, 519, 14724, 267, 1312, 538, 3039, 17346, 543, 13964, 547, 581, 513, 2596, 10260, 517, 610, 2241, 17611, 531, 1512, 1505, 269, 901, 568, 519, 1062, 594, 723, 6045, 1934, 269, 898, 568, 2653, 547, 1174, 630, 6518, 568, 811, 982, 666, 581, 1767, 585, 930, 540, 519, 5010, 2553, 1070, 3362, 2944, 543, 3947, 1434, 267, 5230, 7031, 563, 25539, 3633, 5058, 6730, 654, 2969, 21068, 454, 763, 3037, 538, 799, 596, 1332, 707, 30676, 12582, 1406, 581, 4847, 547, 3819, 856, 1247, 519, 4829, 616, 11926, 267, 543, 865, 519, 2371, 1058, 581, 15273, 3481, 538, 15489, 543, 5614, 543, 1287, 530, 23926, 2941, 13124, 538, 519, 4832, 269, 12315, 827, 476, 4097, 326, 829, 4009, 25451, 630, 272, 9926, 829, 4009, 13452, 264, 540, 513, 7059, 2489, 13226, 971, 607, 22320, 3467, 610, 267, 1973, 543, 5642, 538, 5614, 543, 513, 28106, 5277, 3049, 609, 1164, 1494, 1662, 1543, 1169, 1079, 4374, 1282, 519, 4832, 563, 312, 3658, 543, 4829, 2298, 786, 4268, 11104, 3585, 609, 519, 14246, 540, 519, 2916, 267, 1416, 2016, 547, 267, 8023, 543, 14450, 267, 519, 3903, 540, 3099, 543, 267, 540, 1576, 267, 519, 2230, 2139, 269, 3245, 513, 9921, 11903, 267, 1134, 25374, 585, 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 ]

[ 593, 707, 2115, 543, 593, 5355, 938, 5561, 262, 2228, 1995, 269, 1284, 16436, 596, 547, 2347, 519, 5619, 2630, 267, 543, 7494, 5660, 707, 3403, 607, 513, 12595, 6075, 540, 21942, 563, 2005, 786, 1152, 1491, 513, 8792, 610, 1079, 547, 2347, 269, 2659, 6114, 616, 14804, 543, 585, 1382, 5301, 1152, 563, 12648, 519, 5619, 1631, 2336, 12648, 519, 11752, 454, 4517, 1018, 649, 2811, 3257, 547, 2149, 707, 7834, 269, 0, 21093, 513, 23369, 4797, 2483, 2252, 596, 10093, 1406, 2907, 1044, 8995, 609, 27441, 267, 707, 4387, 786, 798, 513, 2960, 981, 269, 1403, 646, 14659, 596, 949, 723, 2960, 2860, 267, 596, 3513, 991, 513, 23707, 547, 1265, 856, 563, 2791, 2356, 1205, 835, 540, 1079, 2010, 912, 268, 623, 4875, 23707, 269, 901, 18788, 513, 5180, 4062, 540, 2960, 563, 268, 19196, 29850, 23707, 269, 2659, 4387, 3217, 856, 519, 3003, 2208, 563, 288, 4387, 786, 1413, 693, 519, 2208, 896, 513, 17209, 547, 1294, 875, 5394, 621, 568, 269, 15394, 267, 513, 23198, 10510, 1797, 519, 2860, 568, 811, 3978, 563, 2252, 596, 4312, 1044, 8995, 609, 27441, 267, 596, 949, 849, 723, 513, 1973, 1449, 543, 606, 9196, 1449, 547, 1294, 952, 621, 814, 3262, 547, 824, 2127, 563, 2467, 616, 1114, 2010, 540, 9196, 4255, 912, 268, 30446, 2473, 11920, 269, 901, 3096, 5982, 538, 1970, 13066, 547, 1118, 5961, 540, 519, 3330, 540, 707, 1560, 563, 268, 11632, 11571, 630, 26367, 1242, 29821, 1040, 898, 3096, 3532, 2473, 17530, 865, 707, 4387, 666, 1205, 513, 2143, 1413, 693, 1018, 781, 2469, 593, 3330, 596, 563, 268, 18909, 630, 332, 8568, 16982, 9196, 1040, 898, 3096, 3532, 22197, 543, 5925, 6329, 547, 1118, 5961, 540, 8219, 543, 3889, 3330, 707, 1560, 269, 898, 2337, 1397, 1973, 2095, 543, 666, 948, 12398, 2860, 1332, 2195, 563, 268, 27946, 11571, 269, 901, 1449, 3096, 14599, 1570, 547, 1413, 585, 4191, 540, 2860, 563, 763, 4387, 786, 849, 2638, 547, 1294, 952, 707, 9726, 9136, 616, 23762, 269, 700, 8233, 9136, 616, 21167, 13355, 15374, 896, 519, 2960, 538, 707, 8405, 267, 896, 15767, 267, 543, 9240, 514, 269, 634, 4387, 3096, 513, 6094, 13549, 547, 4894, 513, 3732, 540, 2281, 269, 901, 568, 1572, 513, 5386, 16250, 539, 548, 8321, 566, 23707, 563, 763, 4387, 949, 849, 798, 513, 2366, 514, 601, 6843, 23707, 269, 901, 18788, 519, 9726, 9136, 1034, 2693, 547, 723, 2860, 2281, 269, 769, 713, 1449, 267, 519, 4387, 7630, 338, 513, 20004, 883, 519, 1858, 1141, 519, 1761, 2860, 729, 269, 898, 19082, 547, 519, 14282, 9726, 9136, 267, 799, 616, 6569, 543, 7318, 269, 1403, 891, 9726, 9136, 267, 1572, 2366, 514, 601, 9136, 267, 1810, 1405, 723, 2860, 267, 1287, 621, 781, 2693, 519, 2860, 18387, 1405, 3262, 563, 763, 2164, 540, 891, 4255, 948, 519, 4387, 3313, 519, 3942, 540, 707, 2860, 543, 875, 7839, 621, 568, 563, 2791, 543, 646, 786, 6430, 593, 519, 1655, 2126, 1544, 2899, 596, 917, 602, 1344, 269, 0, 27736, 1684, 2859, 20537, 7591, 10632, 6732, 454, 2690, 1453, 6502, 476, 277, 268, 1556, 519, 1034, 1455, 2228, 2534, 568, 4730, 3756, 609, 476, 4366, 2600, 6031, 789, 1185, 2944, 865, 693, 2547, 2899, 538, 519, 2063, 3923, 2687, 547, 1007, 1239, 689, 5438, 1014, 3244, 332, 976, 269, 2755, 602, 568, 711, 513, 2101, 13414, 1018, 568, 9670, 568, 602, 476, 2641, 2600, 1767, 789, 1185, 1031, 519, 5769, 547, 798, 6780, 543, 1382, 563, 2710, 532, 6780, 2228, 16034, 3791, 538, 519, 1034, 1455, 2228, 2238, 585, 1453, 543, 18162, 3297, 519, 2034, 1034, 2442, 2534, 799, 568, 9683, 513, 5172, 5680, 3135, 609, 476, 1839, 2600, 540, 1453, 6031, 789, 1185, 2944, 865, 538, 519, 2250, 3923, 2687, 547, 519, 1239, 563, 5475, 8613, 519, 1079, 1034, 1271, 2010, 540, 2923, 585, 1453, 616, 3381, 3756, 543, 519, 5769, 2687, 547, 513, 5181, 476, 1220, 277, 1353, 676, 9650, 3333, 732, 269, 4033, 2010, 540, 2923, 971, 607, 14786, 267, 17476, 543, 5925, 24061, 1397, 909, 593, 1453, 779, 16986, 269, 634, 2601, 519, 5769, 16034, 267, 607, 606, 1271, 1106, 540, 2923, 585, 1453, 568, 602, 2636, 873, 547, 5968, 609, 741, 2828, 563, 4407, 3610, 949, 581, 8506, 1053, 547, 798, 6780, 2228, 3237, 616, 849, 8716, 741, 1453, 547, 946, 519, 5769, 585, 1382, 269, 4340, 547, 513, 5130, 476, 1220, 278, 1353, 676, 19162, 601, 1712, 517, 476, 7176, 2600, 540, 3237, 946, 519, 5769, 563, 324, 15812, 2678, 9193, 602, 519, 6871, 540, 476, 279, 3562, 268, 1556, 4458, 29419, 1210, 519, 5769, 786, 3914, 476, 10170, 2600, 676, 476, 1001, 271, 267, 909, 689, 476, 6858, 2600, 538, 476, 1220, 277, 269, 634, 1883, 585, 2344, 619, 568, 547, 2628, 3007, 547, 875, 713, 1895, 2242, 922, 5769, 6165, 936, 942, 563, 324, 15812, 2678, 9972, 25566, 1546, 6277, 773, 5261, 5459, 267, 2278, 540, 519, 570, 933, 839, 543, 1855, 839, 6732, 281, 3245, 631, 9222, 547, 3733, 22129, 1867, 267, 18304, 621, 909, 912, 257, 14294, 881, 656, 2242, 538, 2228, 6165, 1491, 1747, 607, 1453, 9921, 883, 12322, 2437, 3081, 15516, 269, 5261, 5459, 269, 834, 21930, 12322, 1063, 519, 6502, 540, 476, 1321, 543, 476, 1691, 6108, 811, 942, 2228, 982, 17408, 839, 6502, 476, 279, 268, 1556, 267, 543, 741, 4690, 22962, 543, 15052, 5330, 5944, 269, 1809, 789, 849, 946, 519, 5769, 547, 3251, 538, 5905, 609, 1919, 2443, 543, 1004, 2443, 789, 2907, 917, 1701, 0, 23530, 1949, 616, 1373, 8704, 693, 7366, 540, 3506, 2066, 519, 2136, 2276, 269, 30451, 946, 3859, 8440, 547, 4001, 1053, 827, 519, 968, 332, 4275, 2193, 892, 540, 1648, 21433, 689, 519, 3141, 269, 1809, 513, 6251, 1413, 693, 891, 3785, 2982, 4057, 9297, 543, 513, 2462, 3915, 585, 4961, 563, 12041, 281, 19378, 717, 648, 5069, 454, 763, 2257, 4843, 676, 519, 595, 10135, 268, 2862, 1867, 2047, 2591, 519, 8753, 540, 519, 7379, 6717, 269, 6987, 2400, 9263, 24595, 2963, 568, 4843, 602, 2916, 1689, 568, 2067, 543, 812, 13402, 7506, 616, 1507, 563, 290, 3916, 32236, 267, 519, 3661, 602, 812, 13402, 8511, 9362, 616, 21006, 3047, 779, 2916, 267, 568, 593, 519, 530, 2033, 269, 4495, 14964, 1164, 267, 519, 16809, 540, 812, 13402, 2916, 1689, 568, 9561, 922, 3310, 538, 6608, 314, 2507, 2639, 8310, 13628, 267, 519, 2475, 4972, 540, 519, 25181, 5950, 513, 8908, 11556, 602, 1131, 968, 652, 28344, 1455, 1606, 1619, 3106, 4441, 585, 17453, 5762, 1005, 593, 1857, 543, 4095, 3338, 1848, 7831, 11016, 267, 519, 2475, 314, 2507, 2639, 28606, 17067, 713, 3923, 267, 12590, 17294, 1546, 1998, 18536, 9307, 602, 1010, 1533, 6603, 519, 3804, 540, 476, 7742, 19251, 1177, 30476, 540, 8704, 3859, 1648, 4390, 269, 968, 2691, 649, 1305, 16529, 3853, 543, 1902, 538, 314, 2507, 2639, 8310, 3018, 267, 7585, 6153, 26245, 974, 630, 305, 13305, 320, 4700, 543, 824, 1876, 16234, 5189, 9086, 538, 519, 5600, 540, 24929, 10912, 585, 2101, 2242, 538, 519, 24997, 23556, 9208, 630, 305, 12396, 1040, 634, 681, 12396, 568, 519, 2601, 314, 2507, 316, 0, 303, 25459, 23154, 6730, 14298, 18426, 8863, 3198, 12283, 454, 15578, 595, 5861, 12171, 269, 814, 4371, 5604, 538, 32527, 520, 3832, 9774, 585, 3670, 1296, 267, 689, 476, 3707, 275, 547, 476, 4198, 271, 269, 898, 814, 1185, 519, 4316, 540, 11744, 547, 519, 1004, 540, 519, 11662, 607, 1134, 607, 547, 519, 1964, 540, 4516, 875, 3811, 513, 1007, 5428, 1759, 593, 519, 1489, 540, 519, 6705, 543, 4600, 666, 581, 538, 8876, 856, 922, 3853, 540, 513, 811, 11180, 2486, 269, 4706, 11566, 25931, 5354, 814, 5921, 602, 972, 941, 1906, 6101, 27047, 6493, 538, 519, 2619, 540, 15357, 532, 543, 740, 268, 14012, 532, 922, 1982, 563, 2005, 568, 6654, 602, 11180, 6963, 6608, 616, 811, 513, 1267, 982, 513, 2014, 540, 1514, 1689, 269, 1306, 513, 1267, 540, 2736, 23957, 538, 519, 5610, 540, 4540, 1871, 3889, 267, 2146, 544, 2803, 7930, 1689, 269, 634, 991, 585, 8763, 6101, 12250, 2242, 7930, 3587, 6444, 676, 1114, 31324, 540, 519, 2551, 945, 616, 28148, 4299, 676, 519, 15059, 538, 519, 2025, 2146, 5610, 269, 634, 3906, 610, 7606, 945, 15974, 15024, 602, 2408, 547, 6445, 519, 2115, 540, 32277, 3286, 539, 2516, 3094, 3310, 543, 267, 952, 519, 6433, 568, 7839, 267, 1379, 269, 769, 513, 7123, 9111, 267, 2705, 267, 519, 6963, 518, 786, 2744, 1379, 2356, 1310, 782, 2609, 267, 1256, 519, 811, 15061, 3283, 267, 5431, 519, 991, 585, 1689, 563, 6624, 7239, 267, 540, 1576, 267, 1831, 865, 18633, 538, 741, 2497, 602, 6876, 593, 7839, 15024, 568, 7543, 269, 901, 568, 1965, 268, 0, 15578, 29313, 292, 21815, 16774, 570, 6020, 3201, 540, 5518, 12448, 9652, 4843, 513, 9490, 7613, 602, 814, 8854, 29462, 538, 12583, 269, 14755, 6450, 583, 1154, 519, 1808, 10997, 1996, 1864, 267, 9652, 781, 8480, 1028, 9229, 519, 30664, 16670, 607, 513, 18670, 540, 519, 9139, 269, 1635, 519, 2470, 540, 1346, 10997, 267, 789, 733, 2105, 267, 519, 23312, 26991, 519, 16083, 17246, 27570, 6837, 547, 1780, 12014, 540, 12492, 1457, 269, 4521, 9807, 1310, 15818, 554, 2459, 1229, 593, 602, 6249, 267, 855, 711, 2899, 1705, 513, 5600, 15440, 16253, 269, 634, 2601, 5526, 6654, 281, 789, 9833, 16563, 607, 513, 1732, 4640, 982, 14955, 9109, 1424, 3954, 10118, 563, 1432, 568, 513, 3915, 540, 12492, 1457, 286, 634, 10966, 7040, 3989, 621, 538, 519, 1360, 1032, 540, 519, 9652, 30664, 16670, 267, 950, 519, 7040, 13351, 1524, 1079, 4031, 5293, 693, 519, 2673, 540, 519, 6406, 2782, 602, 2838, 17864, 543, 23464, 5443, 547, 1491, 14017, 522, 23411, 607, 513, 26608, 1288, 547, 8026, 741, 3924, 269, 590, 4660, 519, 7040, 538, 595, 17026, 902, 642, 269, 16713, 267, 8066, 519, 522, 987, 585, 17864, 547, 581, 538, 18670, 540, 519, 9139, 912, 21202, 3915, 540, 12492, 1457, 568, 513, 15424, 957, 799, 1102, 26555, 0, 763, 5545, 4323, 593, 23421, 23320, 1185, 922, 8129, 538, 513, 3395, 21087, 1143, 1063, 519, 2136, 2276, 543, 3567, 602, 1101, 2919, 1282, 2622, 2782, 594, 269, 4635, 4207, 6054, 267, 1053, 538, 713, 3992, 786, 2263, 519, 4473, 540, 1918, 13920, 1063, 519, 2136, 2276, 543, 3567, 563, 17457, 1977, 2486, 568, 1634, 585, 922, 6803, 4763, 267, 543, 713, 267, 540, 1576, 267, 568, 10630, 538, 513, 2647, 3099, 540, 1147, 12849, 269, 769, 713, 2534, 267, 1053, 786, 1451, 827, 519, 8129, 543, 10096, 540, 1147, 12849, 4122, 1031, 538, 519, 2136, 2276, 602, 17589, 689, 1875, 5174, 761, 880, 4529, 563, 5475, 513, 1279, 31939, 2066, 519, 717, 11893, 19164, 267, 3057, 1723, 2717, 334, 267, 1010, 4651, 267, 543, 1010, 11515, 6368, 8452, 693, 519, 1744, 836, 706, 267, 519, 4832, 19289, 540, 918, 28362, 2967, 16679, 269, 2311, 713, 942, 267, 1034, 540, 5607, 729, 896, 1852, 540, 519, 15216, 11169, 267, 513, 9930, 19631, 1004, 4171, 22657, 729, 538, 519, 717, 11893, 563, 11321, 1723, 2717, 334, 729, 593, 519, 2063, 1850, 540, 1010, 3460, 1753, 689, 3624, 547, 24131, 269, 2991, 9683, 1896, 694, 777, 2176, 538, 3127, 267, 646, 543, 1010, 5428, 30774, 2066, 519, 26768, 7256, 543, 547, 519, 5023, 540, 519, 14655, 13323, 267, 13941, 693, 519, 2823, 2749, 540, 26268, 15120, 267, 1141, 789, 4956, 547, 2951, 7532, 1189, 2066, 5607, 1739, 513, 2244, 8905, 563, 7628, 519, 5664, 12698, 267, 1034, 1004, 538, 2342, 6170, 741, 3003, 2729, 538, 519, 8498, 1141, 789, 941, 4535, 269, 1809, 538, 519, 476, 1724, 628, 2540, 267, 513, 1762, 7969, 3957, 3057, 1723, 2717, 334, 14612, 782, 519, 1259, 547, 3624, 256, 769, 713, 3992, 267, 1053, 786, 1451, 827, 519, 7415, 12599, 540, 3057, 1723, 2717, 334, 563, 6624, 2296, 10529, 616, 5432, 609, 519, 16130, 2262, 737, 12609, 267, 799, 1500, 922, 1259, 883, 519, 1893, 1282, 519, 1101, 3368, 540, 519, 13524, 2540, 269, 898, 568, 1419, 1031, 538, 2296, 547, 20206, 3634, 519, 2856, 602, 968, 6343, 4422, 1472, 2501, 1472, 1848, 901, 3992, 1544, 568, 2966, 547, 3142, 519, 2495, 540, 737, 12609, 543, 519, 1644, 1523, 540, 521, 4461, 4673, 547, 1272, 998, 519, 2542, 540, 519, 808, 31540, 24079, 563, 24375, 940, 538, 519, 476, 280, 628, 2540, 519, 10609, 1067, 10504, 267, 799, 729, 1759 ]

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

[ 2338, 1535, 543, 586, 563, 2764, 269, 2422, 20113, 476, 2918, 543, 476, 2767, 547, 6961, 602, 3193, 12757, 267, 586, 348, 1341, 2381, 12757, 267, 586, 348, 21591, 343, 1341, 586, 585, 782, 1483, 2338, 1535, 543, 586, 780, 3066, 269, 2913, 521, 454, 272, 454, 267, 1547, 1547, 1547, 2073, 521, 454, 333, 454, 2041, 513, 5311, 692, 338, 15384, 325, 3539, 454, 5416, 264, 521, 454, 272, 454, 529, 513, 2318, 8870, 543, 521, 454, 333, 454, 529, 513, 2942, 8870, 2676, 6357, 264, 585, 782, 1775, 2073, 476, 272, 1775, 2999, 562, 267, 521, 454, 328, 1341, 272, 454, 284, 521, 454, 328, 454, 266, 272, 610, 521, 454, 328, 1341, 272, 454, 284, 521, 454, 328, 454, 272, 563, 3682, 557, 602, 972, 6818, 1775, 2073, 476, 272, 2999, 1775, 2999, 562, 267, 971, 602, 521, 454, 328, 454, 284, 476, 271, 563, 15612, 639, 1053, 786, 5431, 713, 3635, 607, 513, 15768, 454, 11437, 540, 519, 11810, 11532, 281, 1403, 535, 568, 513, 6024, 1599, 454, 517, 1496, 320, 267, 536, 316, 543, 535, 630, 320, 264, 3436, 476, 271, 543, 535, 630, 321, 264, 2999, 476, 271, 267, 1287, 535, 630, 322, 264, 815, 476, 271, 585, 930, 454, 322, 538, 630, 320, 267, 536, 1040, 1703, 616, 2147, 15997, 540, 519, 1079, 6898, 563, 1789, 269, 2598, 2889, 557, 519, 3948, 281, 1280, 1169, 2318, 8870, 562, 267, 562, 454, 273, 454, 273, 454, 333, 454, 563, 13528, 3634, 519, 7440, 540, 20113, 476, 27123, 276, 3090, 1227, 543, 632, 8894, 3410, 710, 2436, 1142, 568, 4570, 269, 2913, 454, 335, 281, 594, 1353, 2182, 269, 7117, 2433, 594, 1205, 1306, 269, 678, 2433, 594, 1205, 3638, 563, 4029, 269, 1403, 594, 1353, 2182, 267, 1287, 594, 1205, 1306, 563, 296, 1353, 2182, 563, 296, 1205, 1306, 563, 3953, 269, 1403, 594, 1353, 2182, 267, 1287, 594, 1205, 1306, 563, 2252, 594, 21645, 1205, 3638, 267, 1287, 594, 21645, 1205, 1306, 563, 296, 1205, 3638, 563, 3451, 269, 594, 1353, 2182, 952, 543, 1152, 952, 594, 1205, 3638, 563, 296, 1205, 3638, 563, 296, 1353, 2182, 780, 1012, 589, 5182, 1042, 3635, 6920, 513, 1966, 540, 1657, 8584, 2071, 546, 604, 322, 8372, 780, 1103, 845, 958, 267, 513, 5311, 568, 513, 1592, 540, 2609, 538, 799, 1931, 568, 3144, 883, 2272, 267, 865, 602, 521, 454, 272, 454, 529, 519, 678, 560, 3693, 2676, 338, 454, 273, 454, 529, 519, 2034, 3693, 267, 543, 865, 593, 269, 1284, 1459, 519, 6101, 3954, 819, 538, 8791, 476, 273, 269, 274, 563, 297, 28427, 321, 2795, 268, 2004, 274, 10037, 1433, 4873, 476, 2641, 267, 476, 1220, 275, 476, 2641, 281, 6246, 454, 272, 269, 276, 19577, 338, 476, 5392, 454, 4097, 269, 1403, 594, 1353, 2182, 610, 594, 1205, 3638, 267, 1287, 594, 1205, 1306, 563, 296, 1205, 1306, 563, 2252, 594, 21645, 1353, 2182, 267, 1287, 594, 1205, 3638, 563, 3374, 269, 1403, 594, 1353, 2182, 267, 1287, 594, 1205, 1306, 610, 594, 1205, 3638, 563, 296, 21645, 1205, 1306, 543, 594, 21645, 1205, 3638, 563, 296, 21645, 1353, 2182, 563, 1103, 20113, 476, 3607, 275, 271, 267, 2328, 519, 2016, 4661, 538, 1913, 543, 3313, 454, 31347, 1142, 4661, 568, 4570, 269, 2913, 454, 335, 281, 476, 275, 19251, 17879, 5052, 568, 1732, 982, 1100, 3965, 693, 782, 563, 336, 2433, 1284, 786, 4444, 811, 3965, 563, 337, 2433, 1284, 786, 4444, 513, 1007, 2780, 563, 3607, 269, 533, 678, 454, 335, 7117, 454, 335, 630, 337, 7117, 994, 4391, 269, 533, 630, 337, 7117, 994, 337, 7117, 454, 335, 678, 454, 4343, 269, 533, 678, 454, 337, 7117, 454, 336, 454, 4375, 269, 678, 533, 454, 337, 454, 335, 454, 2412, 269, 533, 678, 454, 337, 7117, 454, 335, 454, 336, 454, 29991, 2436, 1142, 4661, 538, 20113, 476, 6078, 476, 3393, 568, 4570, 563, 6078, 269, 533, 7117, 454, 335, 454, 336, 454, 5655, 269, 533, 7117, 454, 336, 454, 335, 454, 6246, 269, 533, 533, 454, 336, 454, 4510, 269, 533, 630, 336, 678, 994, 336, 630, 533, 678, 994, 263, 533, 7117, 264, 678, 454, 3393, 269, 630, 533, 7117, 264, 630, 337, 521, 994, 335, 678, 454, 336, 521, 454, 5379, 269, 8058, 602, 952, 454, 335, 454, 272, 454, 267, 533, 454, 273, 454, 270, 533, 543, 533, 267, 533, 454, 274, 454, 267, 1547, 1547, 1547, 2073, 533, 454, 333, 454, 270, 524, 454, 732, 4570, 7440, 267, 519, 4661, 454, 335, 454, 272, 454, 267, 533, 454, 273, 454, 267, 1547, 1547, 1547, 2073, 533, 454, 333, 454, 270, 524, 454, 529, 849, 4570, 563, 5325, 269, 19410, 593, 519, 1739, 4661, 912, 14503, 641, 6853, 12210, 4859, 568, 1732, 982, 4986, 563, 301, 5847, 568, 1732, 982, 513, 2182, 12210, 5397, 563, 14503, 641, 6853, 12210, 4859, 568, 1732, 982, 513, 2182, 12210, 5397, 563, 4366, 269, 21302, 519, 1739, 8292, 676, 561, 332, 10404, 23011, 661, 6975, 281, 3143, 454, 16591, 7260, 568, 1932, 1279, 269, 3143, 3983, 7260, 568, 2110, 2614, 269, 11146, 454, 8002, 1302, 568, 1434, 267, 855, 621, 568, 1932, 1279, 563, 2690, 1142, 4661, 538, 20113, 476, 275, 4817, 273, 267, 2995, 799, 4341, 540, 23221, 454, 529, 1031, 563, 5392, 269, 674, 5109, 568, 513, 2442, 7328, 269, 4475, 267, 695, 532, 568, 513, 2442, 7328, 454, 528, 22725, 4592, 572, 568, 3552, 569, 2442, 538, 4993, 563, 2004, 269, 1403, 695, 532, 568, 513, 2442, 7328, 267, 1287, 22725, 4592, 572, 568, 3552, 569, 2442, 538, 454, 30210, 269, 674, 5109, 568, 513, 2442, 7328, 269, 4475, 267, 22725, 4592, 572, 568, 454, 32612, 569, 2442, 538, 4993, 563, 7906, 269, 674, 5109, 568, 513, 2442, 7328, 610, 22725, 4592, 572, 568, 3552, 569, 2442, 538, 454, 30210, 269, 30086, 4592, 572, 568, 711, 3552, 569, 2442, 538, 4993, 269, 1703, 8894, 1150, 267, 695, 532, 568, 513, 2442, 7328, 563, 7367, 269, 5272, 7787, 1297, 568, 540, 519, 1106, 533, 270, 336, 267, 1141, 533, 543, 7117, 616, 454, 15759, 619, 269, 4475, 267, 476, 280, 269, 24833, 568, 540, 519, 1106, 533, 270, 336, 563, 1103, 20113, 476, 276, 3374, 279, 267, 2285, 606, 4661, 1210, 3652, 540, 23221, 547, 454, 19651, 602, 519, 3932, 5205, 689, 519, 19165, 563, 7871, 269, 23738, 12330, 281, 1403, 972, 568, 3154, 538, 519, 1286, 267, 1287, 594, 786, 979, 547, 519, 4558, 563, 2252, 594, 979, 547, 519, 4558, 267, 1287, 594, 786, 1205, 513, 14614, 269, 1703, 568, 3154, 538, 519, 1286, 563, 6962, 281, 594, 786, 1205, 513, 14614, 563, 7918, 269, 23738, 12330, 281, 1403, 972, 568, 3154, 538, 519, 1286, 267, 1287, 594, 786, 979, 547, 519, 4558, 563, 2252, 594, 979, 547, 519, 4558, 267, 1287, 594, 786, 1205, 513, 14614, 269, 594, 798, 711, 1205, 513, 14614, 563, 6962, 281, 1703, 568, 711, 3154, 538, 519, 1286, 267, 610, 519, 1286, 6771, 454, 529, 26843, 563, 4649, 269, 23738, 12330, 281, 1403, 808, 650, 666, 2206, 610, 667, 933, 14162, 548, 666, 1404, 267, 1287, 7629, 4444, 454, 1492, 11741, 1167, 269, 808, 650, 666, 2206, 269, 7629, 4444, 519, 11741, 1167, 6345, 563, 6962, 281, 7629, 4444, 519, 11741, 1167, 543, 519, 11741, 1167, 454, 16651, 563, 6321, 269, 23738, 12330, 281, 15526, 538, 519, 1362, 814, 513, 24275, 9498, 563, 25444, 945, 13757, 513, 24275, 20412, 1807, 17358, 519, 17693, 334, 8894, 13240, 3252, 269, 10390, 281, 25453, 773, 267, 945, 568, 538, 519, 1362, 2676, 16187, 338, 519, 25066, 3252, 563, 6872, 269, 23738, 12330, 281, 8230, 267, 513, 4759, 540, 519, 25315, 753, 267, 666, 5734, 519, 3440, 513, 1279, 454, 3118, 269, 15526, 945, 666, 5734, 519, 3440, 513, 1279, 1259, 666, 1118, 513, 2603, 454, 1993, 2724, 269, 10390, 281, 2368, 4759, 540, 519, 25315, 753, 666, 1118, 513, 454, 14309, 540, 2724, 563, 6812, 269, 23738, 12330, 281, 15526, 538, 519, 15768, 6128, 1362, 14560, 454, 16513, 338, 269, 25126, 538, 519, 15768, 6128, 1362, 814, 2760, 454, 339, 2586, 11810, 269, 10390, 281, 25126, 945, 14560, 15997, 814, 454, 6866, 3144, 11810, 563, 6795, 269, 8058, 602, 1110, 639, 17167, 839, 630, 5408, 7612, 476, 272, 269, 276, 269, 272, 264, 568, 4570, 563, 2568, 269, 8058, 602, 1840, 630, 5408, 7612, 476, 272, 269, 276, 269, 272, 264, 568, 4570, 563, 8618, 269, 8058, 602, 5187, 1709, 630, 5408, 7612, 476, 272, 269, 276, 269, 272, 264, 568, 4570, 563, 7830, 269, 8058, 602, 14966, 630, 5408, 7612, 476, 272, 269, 276, 269, 272, 264, 568, 4570, 563, 8287, 269, 8058, 602, 19858, 11382, 690, 1143, 630, 5408, 7612, 476, 272, 269, 276, 269, 272, 264, 568, 4570, 563, 5038, 269, 8058, 602, 771, 31019, 633, 11382, 690, 1143, 630, 5408, 7612, 476, 272, 269, 276, 269, 272, 264, 568, 4570, 563, 4792, 269, 8058, 602, 8471, 31633, 630, 5408, 7612, 476, 272, 269, 276, 269, 273, 264, 568, 4570, 563, 5780, 269, 8058, 602, 16650, 8216, 2747, 630, 5408, 7612, 476, 272, 269, 276, 269, 273, 264, 568, 4570, 563, 6858, 269, 8058, 602, 16650, 31633, 630, 5408, 7612, 476, 272, 269, 276, 269, 273, 264, 568, 4570, 563, 297, 28427, 321, 2795, 268, 2004, 274, 10037, 1433, 4873, 476, 2641, 267, 476, 1220, 275, 476, 2641, 281, 6246, 454, 2004, 3848, 476, 272, 20603, 543, 19577, 338, 454, 272, 269, 277, 22375, 19577, 338, 692, 1012, 769, 713, 3296, 267, 649, 786, 2328, 513, 536, 607, 705, 780, 4910, 1828, 568, 513, 6169, 4480, 6069, 676, 808, 269, 589, 269, 20484, 538, 476, 3422, 276, 630, 5408, 454, 314, 21659, 8657, 8079, 602, 5673, 593, 513, 2582, 4341, 912, 2252, 533, 7117, 543, 533, 678, 616, 1312, 3020, 267, 1287, 7117, 678, 568, 3020, 269, 630, 272, 269, 277, 269, 272, 994, 13750, 618, 630, 272, 269, 277, 269, 272, 264, 666, 581, 2357, 1221, 676, 1603, 519, 5168, 3349, 630, 5408, 11644, 476, 272, 1040, 5221, 454, 637, 1828, 5673, 593, 713, 2582, 267, 2241, 4341, 267, 621, 568, 519, 4493, 540, 1082, 2780, 3292, 454, 7474, 2601, 543, 6961, 5376, 916, 563, 1103, 513, 6169, 676, 6571, 267, 519, 19165, 543, 519, 3932, 616, 2854, 607, 21291, 563, 288, 743, 1021, 5161, 540, 2474, 9674, 676, 610, 338, 267, 1141, 1142, 2165, 529, 513, 4756, 610, 519, 2258, 566, 454, 1993, 513, 4756, 563, 7078, 476, 272, 269, 277, 269, 272, 634, 4082, 454, 320, 536, 524, 546, 454, 529, 513, 16083, 2094, 519, 2474, 513, 267, 536, 267, 524, 267, 543, 546, 616, 9674, 676, 610, 338, 543, 1142, 2165, 529, 513, 4756, 454, 528, 519, 2258, 566, 540, 513, 4756, 563, 7078, 476, 272, 269, 277, 269, 273, 634, 4082, 454, 15383, 530, 1990, 454, 529, 711, 513, 16083, 1256, 1498, 519, 2474, 616, 9674, 676, 610, 338, 267, 2094, 519, 2165, 27976, 5161, 540, 454, 18314, 4632, 2254, 513, 2582, 4756, 563, 7078, 476, 272, 269, 277, 269, 274, 634, 4082, 454, 335, 7117, 454, 529, 711, 513, 16083, 2094, 519, 2474, 616, 9674, 676, 1547, 3962, 2165, 568, 267, 2705, 267, 513, 4756, 563, 288, 1463, 6169, 676, 6571, 23131, 676, 14578, 7311, 630, 272, 269, 277, 269, 272, 264, 547, 8424, 540, 454, 8063, 906, 547, 17589, 1007, 6898, 2394, 519, 3932, 568, 6508, 269, 1879, 649, 4019, 454, 263, 272, 269, 277, 269, 272, 1070, 533, 1590, 581, 513, 2582, 4756, 267, 855, 7117, 543, 678, 666, 581, 7215, 269, 18564, 602, 950, 454, 263, 272, 269, 277, 269, 272, 264, 568, 4294, 547, 21291, 267, 519, 1267, 7117, 678, 568, 513, 16083, 269, 630, 7712, 7117, 543, 678, 1142, 2874, 540, 454, 614, 916, 9674, 676, 610, 338, 267, 1141, 1142, 2165, 568, 513, 4756, 610, 519, 2258, 566, 540, 513, 4756, 267, 7117, 678, 454, 10193, 5161, 540, 2474, 9674, 676, 610, 338, 267, 1141, 1142, 2165, 568, 513, 4756, 610, 519, 2258, 566, 540, 454, 320, 4756, 8094, 7078, 476, 272, 269, 277, 269, 275, 1284, 6961, 519, 1739, 1210, 6571, 912, 272, 269, 513, 536, 454, 273, 269, 513, 524, 454, 274, 269, 524, 546, 454, 321, 546, 454, 28274, 630, 272, 269, 277, 269, 272, 264, 547, 7215, 476, 272, 543, 476, 273, 267, 649, 17589, 454, 275, 269, 536, 524 ]

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

[ 494, 382, 378, 928, 3331, 494, 382, 378, 325, 519, 544, 383, 494, 382, 378, 560, 7986, 3979, 4892, 3331, 494, 382, 378, 325, 519, 476, 866, 628, 2540, 269, 30463, 5030, 3331, 495, 1700, 333, 555, 383, 495, 1700, 338, 2777, 267, 627, 383, 495, 1700, 577, 646, 3957, 595, 25729, 10830, 267, 9992, 383, 494, 382, 378, 332, 476, 6942, 278, 2394, 554, 383, 495, 1700, 338, 2669, 3331, 495, 1700, 333, 476, 6245, 276, 269, 623, 2075, 1117, 1164, 3331, 494, 382, 378, 333, 3331, 494, 4113, 14629, 9008, 267, 519, 3135, 3331, 494, 4113, 3149, 383, 494, 382, 378, 3091, 3331, 494, 4113, 27789, 2070, 3331, 494, 382, 378, 325, 519, 772, 2529, 269, 7167, 20738, 3331, 494, 4113, 526, 519, 6115, 667, 5861, 269, 6607, 1467, 563, 763, 19291, 30463, 2817, 19866, 13505, 3331, 495, 1700, 338, 4092, 3331, 494, 4113, 321, 383, 494, 382, 378, 583, 3331, 494, 4113, 4557, 18826, 3802, 9992, 383, 494, 382, 378, 332, 519, 1323, 659, 739, 807, 5450, 549, 6728, 267, 1498, 6972, 9992, 383, 494, 382, 378, 332, 519, 6728, 3331, 495, 1700, 338, 1419, 27209, 676, 2817, 26864, 1344, 4600, 3331, 494, 4113, 526, 15805, 3391, 2835, 267, 627, 383, 494, 382, 378, 4363, 2921, 3331, 494, 4113, 3454, 328, 563, 268, 589, 1715, 4750, 543, 6651, 1401, 5477, 281, 27991, 1901, 820, 7731, 779, 18321, 9578, 1715, 6481, 9615, 595, 675, 12312, 2986, 590, 1157, 548, 8426, 8376, 630, 306, 7374, 264, 4873, 476, 279, 267, 476, 1708, 274, 454, 268, 5695, 940, 476, 4792, 286, 13760, 2659, 24310, 18169, 4873, 476, 279, 267, 476, 1708, 274, 454, 268, 23225, 7910, 2103, 15233, 1280, 1133, 4310, 9466, 25966, 269, 8274, 18623, 4721, 4873, 476, 279, 267, 476, 1708, 274, 454, 268, 24918, 16076, 534, 9866, 12883, 476, 1911, 628, 17510, 1485, 282, 5589, 8712, 3571, 6796, 4873, 476, 279, 267, 476, 1708, 274, 0, 1692, 1705, 513, 1762, 7911, 689, 11882, 979, 593, 547, 1831, 835, 540, 519, 6574, 14912, 5716, 540, 782, 942, 286, 3367, 827, 519, 6909, 1272, 543, 4876, 540, 2274, 289, 1258, 6276, 538, 713, 1840, 547, 519, 1948, 272, 1715, 3840, 8648, 1655, 5498, 29818, 5808, 12984, 286, 3126, 563, 9213, 267, 2274, 289, 1258, 6276, 568, 606, 3486, 22530, 541, 945, 814, 4465, 2185, 715, 10621, 29073, 4721, 267, 12236, 1079, 16727, 4154, 1199, 1023, 267, 2854, 2835, 267, 543, 5182, 1042, 538, 3625, 321, 13831, 9413, 269, 1261, 814, 5129, 585, 519, 11968, 13353, 700, 5474, 267, 519, 24543, 14333, 267, 543, 519, 25350, 595, 10052, 4536, 267, 543, 814, 6591, 11655, 2066, 519, 2197, 607, 646, 3366, 1142, 540, 1346, 1614, 6887, 547, 11802, 269, 3509, 14912, 18798, 2015, 2274, 289, 1258, 6276, 547, 581, 835, 540, 519, 6574, 5716, 540, 782, 942, 269, 1809, 875, 1705, 2274, 289, 1258, 2097, 547, 581, 834, 21914, 6276, 8119, 4855, 856, 782, 827, 2274, 289, 1258, 781, 6689, 267, 875, 646, 3323, 4730, 14912, 693, 519, 2085, 540, 8370, 267, 543, 4682, 593, 547, 4341, 519, 5480, 538, 713, 1007, 1433, 585, 1762, 3988, 256, 19203, 5228, 519, 17404, 454, 12208, 3817, 476, 7818, 268, 4962, 280, 24783, 278, 4510, 274, 12698, 476, 279, 268, 1321, 454, 21292, 281, 12092, 267, 5026, 12092, 267, 14912, 267, 28910, 267, 8695, 543, 2367, 267, 3979, 1977, 543, 4563, 15923, 267, 4763, 267, 3309, 2835, 267, 476, 279, 1032, 2025, 267, 476, 280, 1032, 2025, 267, 476, 1015, 1032, 2025, 267, 476, 1556, 1032, 2025, 267, 476, 1321, 1032, 2025, 267, 851, 540, 513, 3126, 454, 9827, 538, 713, 3126, 281, 5808, 1772, 7812, 16888, 282, 5808, 12984, 918, 12786, 21563, 656 ]

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

[ 2094, 519, 23636, 4465, 1406, 899, 873, 286, 4208, 711, 1904, 585, 513, 1447, 1857, 1242, 543, 1315, 610, 896, 3146, 572, 2117, 1117, 2962, 607, 513, 1259, 547, 1404, 909, 606, 5092, 6249, 610, 5823, 286, 1703, 1522, 581, 1447, 23440, 9186, 3710, 883, 519, 1576, 540, 2962, 269, 19452, 267, 952, 513, 7678, 532, 2872, 610, 6006, 568, 9846, 543, 9846, 17814, 538, 513, 2318, 1769, 267, 621, 1522, 581, 942, 547, 1376, 695, 3539, 2476, 689, 10115, 563, 1103, 891, 1806, 267, 9520, 666, 1404, 1312, 25213, 543, 8878, 609, 513, 2596, 1620, 540, 8965, 8804, 269, 0, 5415, 543, 811, 267, 3744, 7048, 593, 2757, 8733, 1702, 547, 1353, 2916, 1689, 563, 763, 918, 617, 328, 752, 11272, 5948, 568, 9750, 19558, 1077, 4390, 267, 543, 5356, 606, 24539, 547, 519, 18664, 965, 547, 1118, 519, 6521, 547, 3167, 3002, 563, 2304, 2038, 15835, 13050, 4266, 666, 1118, 585, 606, 2523, 3983, 30481, 4005, 267, 855, 713, 1032, 267, 621, 779, 1318, 593, 8430, 585, 1454, 540, 519, 1533, 563, 299, 21692, 29385, 267, 689, 25264, 267, 14311, 646, 1846, 1010, 1753, 609, 3574, 267, 538, 513, 15177, 2527, 22865, 563, 1103, 25264, 8022, 3282, 568, 606, 7199, 4244, 547, 2067, 3154, 269, 2334, 4229, 930, 7264, 547, 2015, 1447, 6671, 3681, 267, 899, 5755, 563, 763, 3141, 568, 2047, 936, 519, 20337, 267, 4758, 3160, 5666, 540, 21765, 543, 14334, 1472, 519, 1158, 563, 2467, 616, 513, 2603, 540, 8022, 3681, 269, 24542, 267, 2067, 3154, 267, 3574, 267, 5755, 2507, 1256, 18008, 26650, 3282, 269, 1809, 538, 1454, 540, 6917, 14522, 267, 543, 1256, 930, 4872, 267, 519, 3119, 8022, 2707, 568, 17088, 563, 2690, 6172, 520, 1670, 5162, 267, 14522, 729, 827, 5722, 5232, 1657, 3339, 563, 1103, 519, 2250, 267, 2916, 3631, 723, 17388, 547, 1921, 5836, 2175, 609, 1018, 4523, 538, 519, 5790, 269, 1809, 1079, 1007, 2090, 798, 513, 1454, 1732, 2816, 10503, 602, 3095, 563, 2791, 723, 547, 979, 1394, 936, 8938, 1296, 547, 1265, 513, 21617, 5162, 21396, 269, 0, 763, 25491, 19992, 634, 13159, 10552, 4032, 454, 12441, 596, 2347, 707, 5993, 2168, 286, 1411, 1185, 707, 4387, 779, 981, 267, 1973, 2604, 13761, 267, 2597, 16913, 543, 1973, 960, 6192, 269, 634, 9814, 6013, 538, 519, 2164, 540, 707, 2978, 1449, 2164, 269, 1548, 1281, 621, 782, 1611, 888, 7312, 4387, 814, 4956, 547, 2721, 513, 595, 6195, 269, 2806, 12934, 9911, 616, 1031, 538, 1072, 1416, 1604, 1932, 1082, 2053, 269, 2806, 12934, 9911, 267, 4352, 1360, 14845, 547, 519, 1875, 2173, 20510, 1268, 267, 519, 1072, 1416, 7426, 2911, 538, 28008, 1893, 269, 595, 6195, 267, 568, 849, 1634, 607, 519, 2347, 1973, 1293, 269, 898, 3947, 1271, 1344, 827, 519, 5686, 543, 2338, 540, 2281, 538, 519, 1973, 267, 2523, 519, 2699, 1973, 2281, 267, 3043, 1973, 2281, 267, 543, 6676, 7410, 269, 589, 595, 6195, 2337, 707, 4387, 2638, 1022, 2589, 267, 971, 607, 9854, 630, 339, 1600, 1145, 1070, 20015, 2358, 267, 543, 8467, 596, 949, 723, 269, 589, 595, 6195, 849, 2337, 519, 4387, 13209, 17350, 267, 3968, 267, 543, 1082, 824, 2175, 563, 290, 6195, 2356, 2882, 912, 310, 6195, 630, 19669, 1973, 1591, 610, 32151, 22889, 264, 1293, 269, 6519, 1973, 2281, 2149, 1996, 3968, 269, 1403, 606, 3968, 10953, 267, 3043, 1973, 2281, 4323, 543, 6861, 519, 4551, 267, 3644, 267, 610, 824, 11248, 4929, 519, 3968, 269, 6519, 1973, 2281, 616, 8273, 519, 2699, 1973, 2281, 855, 7864, 538, 1297, 269, 1879, 513, 1268, 814, 513, 9190, 3968, 267, 519, 1297, 540, 3043, 1973, 2281, 2333, 3533, 269, 634, 1297, 540, 3043, 1973, 2281, 568, 3006, 1031, 547, 1265, 606, 3968, 610, 547, 1294, 875, 519, 1560, 568, 7231, 609, 2860, 2126, 563, 310, 6195, 27018, 630, 19669, 1973, 1591, 2010, 1040, 634, 2101, 2010, 540, 3043, 1973, 2281, 616, 6120, 5268, 2812, 267, 9726, 14231, 267, 1395, 14231, 267, 552, 28009, 2684, 2812, 267, 543, 1666, 2684, 2812, 269, 8056, 1155, 6120, 5268, 2812, 267, 1289, 6512, 6120, 5268, 2812, 267, 1858, 849, 851, 540, 713, 1449, 269, 3962, 1826, 540, 891, 2281, 1404, 513, 1114, 1909, 538, 7863, 519, 1560, 269, 634, 2338, 540, 1142, 835, 540, 891, 1271, 2010, 540, 3043, 1973, 2281, 1683, 1271, 1344, 827, 519, 4761, 1062, 269, 18320, 949, 610, 1932, 1906, 540, 519, 1114, 2010, 540, 3043, 1973, 2281, 666, 948, 1265, 543, 3968, 267, 606, 13027, 610, 6757, 5114, 547, 6527, 267, 6464, 610, 1082, 2175, 971, 607, 26679, 563, 305, 6195, 630, 16446, 10552, 8426, 264, 1293, 269, 4414, 1973, 2281, 4163, 5135, 689, 519, 9641, 547, 519, 1964, 540, 519, 1560, 269, 1358, 849, 4163, 3327, 8166, 1394, 547, 519, 9641, 865, 621, 666, 581, 17938, 4705, 269, 1403, 519, 681, 6195, 1293, 568, 1970, 630, 10193, 1572, 17350, 1070, 519, 1560, 949, 711, 581, 3478, 519, 5135, 621, 2115, 1403, 519, 1293, 568, 547, 1164, 630, 513, 2783, 1572, 4874, 1097, 29442, 807, 1070, 972, 568, 513, 4960, 519, 2699, 1973, 2281, 786, 804, 2794, 1927, 4929, 3625, 1137, 538, 6263, 1973, 8043, 630, 339, 4176, 8043, 1572, 1698, 650, 2456, 1040, 901, 849, 786, 1118, 621, 2182, 585, 707, 2699, 1973, 2281, 547, 4163, 5135, 563, 295, 6311, 630, 295, 14670, 665, 761, 610, 14095, 1591, 4320, 6261, 20302, 1040, 901, 1449, 3800, 519, 2179, 540, 2230, 630, 14179, 2541, 264, 2699, 1973, 2281, 1491, 909, 538, 519, 1973, 269, 634, 1871, 568, 2016, 538, 6871, 540, 1973, 2281, 538, 513, 4320, 540, 1973, 269, 7151, 281, 476, 4343, 1797, 602, 476, 4343, 260, 540, 519, 1973, 779, 4320, 568, 1500, 540, 2699, 1973, 2281, 269, 12920, 520, 665, 761, 543, 24562, 2418, 616, 519, 1079, 2101, 4255, 602, 1397, 952, 17350, 610, 4874, 1097, 29442, 807, 568, 1459, 563, 295, 16412, 630, 295, 655, 18331, 1040, 634, 24562, 568, 3743, 585, 8876, 5135, 543, 3947, 519, 1973, 2281, 922, 2699, 2681, 269, 634, 24562, 1449, 3800, 519, 2179, 540, 24562, 538, 1973, 543, 568, 513, 1434, 2268, 540, 519, 1973, 779, 2702, 547, 4163, 5135, 2429, 519, 1560, 563, 16446, 10552, 8426, 1473, 1182, 269, 1703, 616, 1614, 2699, 1973, 1591, 17523, 281, 1611, 24402, 4788, 4320, 630, 10157, 309, 1070, 1611, 24402, 4788, 24562, 630, 300, 6224, 1070, 543, 1611, 24402, 4788, 24562, 5834, 630, 300, 6224, 290, 1040, 1703, 7403, 2097, 689, 824, 7403, 538, 513, 595, 6195, 269, 634, 14330, 309, 2982, 2450, 540, 519, 2699, 1973, 2281, 269, 634, 631, 6224, 1871, 568, 519, 2179, 540, 24562, 538, 606, 3328, 2699, 1973, 1591, 269, 634, 631, 6224, 290, 3800, 519, 5834, 540, 24562, 538, 606, 3328, 2699, 1973, 1591, 269, 1452, 2338, 948, 538, 519, 5868, 540, 1114, 2010, 540, 17350, 563, 5522, 622, 2280, 630, 10193, 1572, 24405, 14231, 1040, 1452, 2281, 616, 519, 10545, 1826, 540, 1973, 1591, 269, 1358, 616, 1271, 538, 1973, 32378, 269, 1879, 11702, 4386, 267, 519, 6676, 7410, 2220, 749, 267, 804, 2794, 1927, 267, 543, 1106, 320, 20202, 11690, 602, 2337, 3247, 11702, 269, 1403, 972, 616, 1932, 1906, 6676, 7410, 267, 29252, 11702, 949, 581, 513, 1966, 269, 1403, 972, 616, 1932, 1082, 6676, 7410, 267, 972, 568, 513, 7872, 540, 513, 1973, 8052, 8108, 538, 513, 1973, 6077, 269, 4746, 267, 6676, 7410, 949, 581, 3238, 538, 2182, 2287, 540, 519, 16209, 563, 6573, 309, 630, 11743, 6676, 2280, 4320, 1040, 6399, 6676, 2280, 4320, 3800, 519, 3328, 2179, 630, 14179, 2541, 264, 540, 6676, 7410, 269, 6399, 6676, 2280, 4320, 568, 1031, 2059, 609, 6676, 2280, 1293, 547, 13209, 930, 2068, 269, 1403, 519, 6676, 2280, 1293, 568, 3339, 267, 519, 1611, 6676, 2280, 4320, 666, 1869, 581, 1932, 1164, 610, 1932, 1970, 563, 2005, 568, 1271, 547, 1174, 1946, 707, 10629, 814, 10288, 513, 595, 6195, 607, 1134, 607, 1018, 519, 2164, 2995, 596, 269, 1703, 616, 1082, 4128, 1946, 513, 595, 6195, 568, 5363, 269, 898, 666, 4217, 538, 519, 5868, 540, 1082, 3676, 971, 607, 281, 5563, 267, 6553, 267, 2860, 267, 26679, 267, 10081, 4761, 4713, 267, 5642, 20768, 5821, 267, 17350, 267, 18024, 267, 543, 5714, 2530, 269, 634, 595, 6195, 666, 1397, 519, 2360, 540, 1978, 11216, 267, 543, 610, 519, 2360, 540, 513, 1297, 540, 6646, 538, 1279, 3856, 610, 1256, 2110, 2165, 946, 563, 763, 9814, 540, 519, 595, 6195, 666, 1291, 547, 32226, 952, 519, 2164, 979, 16053, 267, 796, 2389, 8972, 267, 610, 519, 2164, 616, 689, 513, 25314, 1046, 539, 1973, 19494, 269, 769, 519, 3728, 10605, 540, 1072, 1416, 267, 10913, 4755, 1169, 1554, 543, 596, 6148, 602, 32657, 777, 269, 898, 568, 1271, 547, 1174, 519, 13159, 10552, 4032, 267, 1946, 621, 568, 2944, 267, 519, 2164, 267, 543, 5574, 1759, 689, 519, 2164, 865, 596, 616, 711, 519, 1985, 2564, 9814, 269, 0, 763, 2817, 31790, 540, 10430, 267, 593, 2836, 2023, 10830, 267, 568, 10430, 781, 3084, 18189, 547, 519, 13677, 7980, 543, 25501, 945, 5747, 8165, 538, 519, 16486, 4577, 12668, 269, 898, 729, 5497, 267, 2687, 547, 519, 30115, 267, 547, 581, 1412, 288, 17341, 540, 519, 12815, 543, 769, 1417, 633, 547, 519, 8892, 15552, 1143, 540, 519, 9093, 540, 10430, 23823, 763, 15224, 2531, 7149, 519, 1283, 540, 2836, 2023, 10830, 267, 1175, 547, 519, 7532, 540, 11010, 806, 9335, 269, 898, 729, 2966, 1282, 476, 9264, 274, 268, 277, 676, 8176, 7917, 23081, 651, 22641, 543, 5261, 8361, 7591, 325, 1515, 543, 568, 1110, 8215, 2390, 519, 3487, 1156, 517, 538, 18603, 269, 14716, 3323, 538, 476, 9264, 277, 543, 267, 1813, 547, 519, 3668, 540, 7482, 267, 729, 2451, 4652, 31944, 538, 476, 9264, 280, 269, 4427, 2425, 550, 8942, 547, 1412, 14814, 262, 519, 2817, 31790, 723, 2760, 28703, 4829, 585, 4128, 540, 2901, 1942, 610, 3668, 540, 2199, 15131, 269, 27066, 912, 289, 16742, 1472, 5084, 476, 3445, 547, 7038, 519, 1850, 542, 2456, 6728, 539, 693, 519, 6830, 540, 6970, 518, 548, 517, 630, 296, 2675, 320, 1070, 519, 11141, 16822, 30965, 11128, 729, 519, 4936, 6697, 540, 2221, 779, 2789, 343, 21576, 269, 8381, 523, 1649, 2583, 3177, 27939, 585, 909, 547, 476, 277, 267, 1822, 4715, 2209, 267, 945, 1131, 5531, 547, 4585, 1973, 628, 1009, 344, 10525, 10023, 1350, 14508, 31247, 8396, 543, 16678, 3552, 2831, 563, 16524, 1310, 519, 14564, 2451, 267, 519, 16822, 30965, 11128, 3576, 593, 513, 1007, 1272, 538, 14880, 1014, 10828, 269, 2983, 32015, 540, 3933, 17625, 267, 519, 10169, 19511, 476, 1321, 628, 10601, 16159, 267, 5206, 538, 1010, 3778, 540, 519, 18301, 540, 6628, 602, 14880, 729, 7715, 2740, 538, 6970, 518, 548, 517, 543, 602, 519, 8297, 1441, 16822, 30965, 11128, 729, 2965, 519, 3788, 540, 3751, 14880, 779, 18471, 7305, 563, 9213, 621, 568, 519, 1034, 2347, 4936, 16822, 30965, 11128, 538, 6628, 269, 0, 6944, 9009, 547, 2442, 5784, 602, 10120, 4872, 941, 533, 4883, 8163, 540, 2068, 543, 13897, 267, 2199, 4683, 17743, 619, 543, 8128, 538, 519, 2185, 18818, 543, 6957, 18818, 5553, 1705, 11441, 547, 30817, 1072, 6937, 543, 547, 1832, 562, 7572, 1734, 693, 15922, 267, 607, 741, 2413, 13413, 798, 269, 808, 13860, 3213, 30689, 27180, 3735, 10120, 2853, 540, 23833, 1072, 4507, 543, 4683, 19455, 538, 519, 1970, 2477, 563, 297, 269, 3213, 30689, 281, 769, 623, 2720, 3726, 540, 513, 13245, 4975, 269, 5842, 2787, 543, 519, 5871, 6153, 538, 519, 17623, 19744, 8899, 18831, 563, 30267, 269, 717, 269, 717, 3881, 1676, 454, 1607, 2680, 568, 1930, 547, 519, 1857, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3481, 689, 513, 1449, 8546, 269, 3509, 723, 6068, 519, 5087, 7532, 540, 4789, 855, 18864, 814, 2479, 6068, 968, 22139, 5101, 4789, 6100, 3143, 10564, 814, 2479, 4050, 2740, 971, 28817, 18405, 607, 968, 2414, 7916, 267, 4961, 256, 4024, 9493, 1796, 1394, 950, 14763, 6650, 559, 938, 13636, 5149, 18313, 2005, 568, 606, 10694, 2856, 547, 3142, 1394, 519, 2757, 17521, 540, 4789, 269, 898, 568, 849, 606, 10694, 2856, 547, 2007, 909, 519, 1560, 540, 519, 812, 945, 27618, 873, 267, 11977, 1261, 987, 267, 543, 6529, 1010, 2212, 593, 513, 533, 833, 267, 855, 602, 4465, 1406, 4755, 2901, 269, 634, 17521, 616, 1175, 1932, 1507, 563, 3383, 952, 649, 616, 547, 723, 4620, 1399, 25267, 267, 1577, 873, 693, 2547, 581, 25267, 269, 9093, 723, 6068, 519, 8003, 540, 30330, 807, 269, 9093, 723, 5747, 585, 519, 8003, 540, 5101, 4911, 20377, 1107, 16113, 693, 519, 3946, 540, 2367, 540, 30330, 807, 267, 855, 972, 596, 979, 269, 9093, 540, 782, 519, 3504, 6082, 540, 519, 590, 19414, 723, 4553, 519, 6574, 540, 519, 18301, 540, 24380, 16303, 547, 32219, 11802, 1996, 519, 31557, 269, 19147, 543, 20630, 602, 267, 16402, 13062, 1846, 256, 4746, 621, 1131, 4196, 519, 31557, 1318, 585, 1641, 532, 803, 547, 782, 1346, 8886, 908, 3182, 3645, 5528, 563, 28989, 267, 10430, 267, 594, 6557, 12922, 602, 519, 4207, 8003, 540, 5899, 987, 322, 569, 1372, 786, 711, 581, 17468, 547, 519, 2407, 6708, 540, 922, 3504, 3180, 902, 1141, 789, 12701, 883, 2413, 4789, 269, 1306, 538, 2022, 12258, 11102, 4000, 267, 585, 519, 21084, 540, 1973, 338, 1117, 519, 5007, 10665, 3964, 676, 519, 22030, 540, 519, 8003, 540, 1325, 9346, 1590, 2611, 538, 1747, 269, 6787, 10430, 1058, 11177, 922, 1378, 3504, 1016, 268, 6362, 20819, 1369, 922, 1459, 10665, 568, 6923, 513, 1821, 9407, 2339, 563, 763, 3703, 8136, 1522, 581, 3238, 538, 513, 26525, 6560, 538, 7187, 5333, 855, 602, 3085, 1406, 1611, 602, 1272, 1058, 2097, 547, 513, 1796, 560, 650, 693, 1753, 912, 763, 8648, 267, 476, 1691, 5181, 476, 4489, 275, 533, 273, 454, 296, 795, 652, 267, 519, 25624, 5948, 814, 4280, 585, 5583, 269, 901, 568, 1018, 519, 8136, 7027, 1185, 547, 2161, 912, 763, 2243, 2436, 519, 4730, 540, 13292, 1058, 581, 7357, 11074, 568, 811, 513, 2339, 585, 519, 24787, 540, 519, 5948, 267, 855, 519, 7027, 3833, 29311, 519, 7965, 3238, 538, 2921, 971, 606, 3665, 1900, 267, 543, 789, 1131, 1244, 13440, 622, 4376, 1373, 2944, 799, 1281, 711, 2408, 547, 581, 1572, 585, 676, 519, 1459, 3510, 563, 3080, 540, 519, 2042, 1107, 513, 1966, 602, 786, 20807, 519, 3703, 8136, 2394, 476, 4489, 278, 1107, 568, 602, 621, 568, 513, 1507, 7952, 609, 513, 1507, 3761, 2872, 269, 1703, 3274, 568, 1100, 1390, 6006, 335, 850, 540, 26977, 267, 9604, 543, 993, 32099, 543, 1100, 2653, 1259, 540, 6721, 811, 269, 17610, 267, 519, 8136, 949, 723, 973, 337, 583, 1221, 476, 1911, 267, 1822, 2367, 630, 528, 568, 621, 476, 4335, 267, 1822, 24047, 676, 713, 3942, 540, 519, 2112, 855, 972, 779, 10475, 2370, 789, 666, 798, 609, 873, 269, 1924, 11176, 1522, 607, 1134, 3136, 267, 607, 8197, 621, 1705, 2394, 519, 1439, 540, 519, 4005, 538, 476, 4489, 276, 563, 763, 8648, 689, 476, 1321, 5181, 476, 4489, 275, 269, 589, 18755, 541, 10596, 593, 513, 4484, 689, 1010, 5067, 267, 606, 11464, 538, 519, 3703, 30609, 819, 776, 10414, 912, 5194, 4057, 8004, 814, 1175, 2097, 538, 267, 2348, 1185, 1312, 1200, 28244, 2759, 1055, 269, 24664, 1176, 267, 594, 9575, 519, 772, 327, 17427, 1496, 23389, 29816, 2006, 316, 538, 519, 957, 267, 543, 609, 29461, 693, 476, 4968, 18126, 7166, 1864, 269, 1656, 1631, 765, 568, 609, 721, 267, 855, 267, 4057, 8004, 267, 594, 993, 12922, 1352, 786, 5884, 269, 2701, 568, 1360, 7168, 267, 543, 1152, 827, 476, 866, 267, 543, 1152, 814, 1200, 1236, 7398, 593, 563, 763, 2376, 5170, 538, 513, 2147, 18916, 609, 713, 543, 824, 5022, 689, 519, 4395, 10213, 8941, 540, 22149, 267, 519, 946, 540, 21127, 607, 1480, 695, 3658, 543, 824, 3029, 540, 4436, 30217, 344, 563, 3719, 1018, 568, 835, 547, 1589, 286, 594, 15475, 519, 1101, 2243, 568, 267, 568, 621, 3020, 286, 1656, 1287, 267, 729, 621, 18532, 630, 517, 519, 851, 540, 519, 772, 327, 17427, 21663, 3657, 972, 1022, 19086, 2188, 286, 1656, 616, 519, 3703, 1022, 1732, 888, 4002, 602, 2063, 835, 594, 993, 20916, 547, 1589, 9811, 267, 3274, 1317, 789, 616, 10838, 2828, 563, 4517, 593, 519, 1101, 835, 267, 594, 1294, 2370, 2601, 1946, 606, 11464, 610, 513, 18755, 541, 1131, 1118, 621, 909, 269, 1809, 2576, 3116, 1522, 269, 1656, 634, 8648, 799, 19758, 519, 2112, 4674, 1522, 711, 581, 602, 16994, 593, 10992, 909, 269, 2107, 6148, 519, 11464, 729, 7092, 26390, 5209, 998, 3668, 540, 3207, 563, 3719, 593, 519, 824, 1688, 267, 519, 918, 9820, 518, 779, 2367, 1705, 986, 2763, 7200, 341, 664, 547, 519, 2666, 267, 543, 32003, 21127, 693, 667, 5364, 543, 946, 519, 3283, 789, 22821, 1406, 2527, 659, 1042, 607, 1480, 695, 3658, 563, 27407, 267, 594, 993, 20916, 547, 3494, 713, 269, 1656, 594, 993, 28280, 269, 1656, 952, 594, 993, 28280, 513, 4627, 1296, 2663, 621, 568, 711, 2352, 547, 4952, 1018, 1004, 1590, 723, 1044, 3206, 693, 519, 942, 563, 763, 968, 20809, 19822, 892, 540, 476, 4489, 275, 949, 723, 2097, 607, 513, 8710, 547, 519, 3703, 855, 602, 1281, 1611, 789, 941, 711, 2111, 547, 9260, 741, 3681, 269, 594, 729, 14281, 676, 519, 17284, 540, 513, 7008, 540, 4930, 594, 3357, 2066, 538, 634, 8648, 269, 2290, 540, 873, 7902, 593, 519, 21107, 3817, 267, 1705, 711, 723, 513, 676, 1467, 855, 4769, 1406, 2408, 547, 581, 606, 21107, 2901, 269, 898, 729, 1869, 1434, 1498, 269, 901, 568, 519, 1883, 8574, 912, 293, 8896, 1281, 711, 21279, 938, 3354, 269, 589, 4436, 11802, 936, 5333, 1131, 21279, 621, 3352, 8145, 2664, 2406, 269, 4634, 1058, 519, 4436, 13108, 2611, 29680, 267, 519, 13567, 540, 19934, 543, 8832, 5333, 676, 4436, 10136, 1131, 10880, 513, 11493, 9514, 693, 3703, 3354, 269, 1284, 1058, 1287, 581, 8078, 539, 267, 4805, 543, 1510, 16167, 267, 547, 7703, 519, 11411, 540, 5329, 909, 513, 18307, 564, 9120, 547, 602, 540, 5125, 543, 540, 606, 8136, 8167, 2299, 2178, 269, 901, 11411, 1131, 581, 25010, 748, 563, 6546, 568, 519, 1655, 7778, 689, 6628, 779, 3375, 547, 979, 547, 2112, 594, 2479, 4862, 269, 13458, 568, 829, 559, 748, 563, 763, 824, 729, 513, 4484, 689, 22374, 4911, 749, 267, 2278, 540, 634, 4279, 7629, 4288, 912, 2171, 616, 5143, 602, 952, 649, 1450, 5125, 547, 1831, 4619, 16124, 1352, 1131, 581, 865, 3532, 607, 547, 21279, 938, 6228, 676, 519, 13567, 540, 19934, 267, 26652, 267, 543, 7654, 519, 3345, 540, 5333, 269, 1809, 267, 607, 707, 2376, 540, 547, 6377, 779, 4266, 865, 1134, 2798, 856, 267, 621, 729, 519, 7411, 799, 5125, 1336, 538, 1325, 338, 864, 6441, 528, 9627, 799, 15286, 1200, 689, 9117, 1996, 721, 538, 519, 3162, 3979, 2782, 269, 1403, 835, 11662, 267, 865, 7361, 4436, 538, 922, 5169, 543, 1686, 267, 1223, 1711, 713, 19849, 14536, 267, 1018, 8373, 786, 711, 5125, 18061, 909, 585, 9887, 568, 1352, 1058, 3801, 519, 10338, 540, 513, 19934, 267, 513, 26652, 267, 543, 513, 11870, 22929, 888, 305, 1430, 5673, 593, 875, 3540, 2213, 1352, 4566, 593, 1373, 269, 1261, 4422, 593, 912, 763, 1843, 543, 1198, 540, 938, 10024, 883, 713, 2112, 1131, 581, 547, 2327, 519, 11802, 540, 6576, 543, 1200, 23577, 4577, 16167, 269, 4024, 513, 8789, 23577, 4577, 10480, 3130, 540, 267, 2161, 267, 476, 1220, 267, 1822, 267, 1822, 1313, 4531, 5597, 18170, 1004, 267, 609, 513, 1360, 25229, 21747, 3540, 5314, 267, 855, 8185, 9280, 585, 4108, 14699, 267, 581, 513, 1447, 5906, 3815, 538, 2342, 982, 513, 8789, 5125, 540, 476, 4792, 267, 1822, 267, 1822, 3810, 3540, 2213, 543, 5631, 2016, 547, 519, 6575, 540, 4123, 543, 16450, 888, 288, 12605, 267, 540, 1576, 267, 602, 21314, 547, 581, 1312, 1360, 4636, 543, 267, 6038, 267, 1360, 1318, 563, 2005, 786, 581, 6654, 602, 713, 2022, 729, 19430, 676, 31473, 5450, 345, 3455, 779, 2022, 968, 288, 19759, 7788, 15208, 9731, 8802, 8973, 519, 3768, 15804, 1249, 602, 519, 2121, 1267, 540, 519, 3689, 2622, 2782, 729, 3592, 28025, 3983, 267, 2015, 713, 21658, 281, 707, 1753, 568, 22983, 676, 513, 14228, 267, 945, 723, 2016, 15792, 2963, 540, 741, 1876, 1652, 2470, 607, 789, 19856, 3042, 998, 707, 29117, 1354, 8757, 596, 269, 9320, 596, 723, 711, 2141, 1044, 513, 1025, 600, 6804, 12504, 3054, 267, 855, 267, 676, 2696, 267, 596, 4465, 1406, 1491, 713, 14084, 1524, 269, 1924, 596, 5706, 267, 10912, 538, 707, 1920, 543, 30256, 547, 948, 269, 1358, 2628, 513, 1164, 3902, 585, 741, 17604, 269, 2311, 519, 1439, 540, 519, 4339, 596, 1413, 5180, 543, 1294, 14077, 543, 2828, 4666, 267, 524, 23774, 1194, 543, 2377, 8636, 1229, 269, 634, 29117, 596, 8179, 547, 9718, 814, 1044, 20739, 22486, 269, 1411, 849, 917, 602, 1082, 540, 1346, 4666, 14228, 2818, 941, 811, 1642, 24231, 982, 9409, 269, 1548, 729, 621, 782, 585, 286, 23875, 814, 1044, 6591, 267, 1454, 814, 1044, 4503, 269, 1937, 572, 2943, 267, 713, 26718, 786, 2253, 513, 4783, 540, 5208, 602, 786, 1491, 1082, 811, 2729, 538, 2104, 269, 17610, 569, 621, 1131, 723, 1044, 1732, 782, 5180, 547, 1175, 1577, 873, 538, 543, 1577, 873, 1491, 1018, 789, 1616, 888, 7775, 1131, 621, 888, 3080, 4627, 1296, 3516, 2221, 267, 593, 5147, 476, 2764, 628, 267, 476, 4489, 275, 267, 513, 3923, 1310, 519, 26923, 540, 5246, 706, 651, 30686, 30544, 267, 519, 3243, 549, 6953, 2426, 4115, 7276, 10294, 2112, 593, 519, 8003, 540, 28993, 543, 3459, 606, 12289, 269, 901, 729, 519, 4013, 4098, 540, 2622, 2782, 594, 563, 20751, 4374, 267, 1169, 2101, 543, 1034, 5634, 2477, 538, 2342, 1185, 10294, 2112, 2390, 930, 15410, 540, 519, 1866, 563, 29909, 782, 10617, 616, 513, 15265, 267, 29749, 3653, 540, 1480, 1272, 267, 855, 968, 763, 4279, 2782, 892, 729, 2523, 1448, 1652, 563, 2791, 666, 14407, 569, 936, 13678, 680, 1518, 543, 2491, 1018, 1034, 10617, 941, 827, 538, 513, 4845, 610, 1079, 269, 2622, 2782, 4083, 1223, 581, 1767, 547, 723, 1044, 827, 513, 1895, 540, 6608, 12394, 547, 2744, 998, 21037, 543, 1866, 3843, 547, 3247, 873, 269, 10476, 1223, 581, 6045, 607, 519, 2475, 2229, 779, 3801, 547, 1394, 606, 28974, 2229, 609, 2370, 4835, 1489, 547, 2119, 547, 3180, 1394, 513, 21340, 1491, 1478, 269, 1452, 5749, 1406, 1390, 3137, 855, 789, 2461, 693, 2547, 968, 338, 677, 540, 892, 3137, 563, 13328, 2782, 594, 814, 1100, 1483, 7778, 3564, 968, 320, 19619, 540, 954, 3766, 21194, 24816, 3893, 15427, 538, 519, 21987, 540, 606, 26923, 1848, 1403, 596, 1353, 519, 2621, 538, 513, 1686, 1362, 267, 621, 3217, 2395, 547, 2491, 519, 3123, 540, 519, 2112, 267, 799, 568, 547, 2161, 267, 547, 1205, 547, 519, 1448, 1141, 596, 1174, 602, 972, 7012, 1406, 2731, 1454, 540, 513, 2014, 267, 543, 711, 2731, 1454, 538, 519, 1259, 540, 4890, 6859, 593, 2901, 2427, 269, 630, 306, 675, 972, 616, 968, 1410, 17839, 725, 892, 543, 594, 6557, 1978, 2576, 609, 513, 7895, 4842, 1792, 752, 786, 3142, 873, 909, 267, 855, 594, 1745, 602, 789, 2461, 22290, 519, 1448, 8094, 2005, 729, 711, 2112, 585, 21037, 267, 711, 2112, 585, 2797, 6859, 267, 1175, 2112, 585, 2112, 779, 19160, 563, 1103, 19220, 540, 713, 3668, 540, 1483, 3483, 267, 11999, 13348, 5328, 535, 969, 528, 729, 4547, 547, 7703, 676, 1312, 5011, 269, 25175, 15852, 519, 2112, 729, 13556, 607, 513, 2282, 10546, 540, 8103, 269, 8479, 2367, 676, 519, 6634, 941, 931, 5296, 539, 610, 630, 16838, 811, 911, 326, 1227, 264, 18617, 547, 32380, 21821, 968, 1721, 741, 2197, 9731, 1103, 519, 1439, 267, 476, 1626, 2929, 1004, 5747, 543, 513, 2417, 476, 2641, 2929, 11124, 5945, 267, 930, 20494, 341, 3585, 2614, 547, 11904, 873, 524, 23774, 1194, 585, 1272, 267, 543, 782, 267, 538, 519, 1439, 267, 547 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 630, 10193, 1634, 607, 13002, 2259, 1957, 264, 568, 2139, 609, 1585, 1297, 540, 3515, 829, 7874, 4484, 10959, 609, 12987, 1957, 269, 23512, 790, 707, 3214, 547, 2328, 593, 3817, 609, 1187, 10665, 609, 713, 7792, 10959, 7132, 2542, 1299, 1603, 25258, 2085, 476, 276, 2085, 476, 278, 2085, 476, 277, 1153, 1272, 1603, 563, 299, 1441, 1957, 585, 11505, 3018, 1603, 4062, 4484, 1603, 10959, 267, 7792, 1130, 20634, 267, 1603, 1957, 267, 16886, 4760, 267, 1394, 547, 1153, 693, 322, 3556, 10665, 269, 15026, 1603, 1957, 547, 1451, 543, 2259, 13002, 585, 23021, 267, 2186, 1120, 31678, 543, 2038, 10026, 269, 5192, 621, 782, 1524, 593, 1957, 609, 713, 13561, 10959, 1753, 4116, 2645, 1299, 17074, 30866, 3337, 1504, 630, 20040, 264, 10959, 269, 6787, 596, 616, 1603, 1957, 538, 3332, 610, 2979, 649, 666, 948, 596, 609, 4376, 22637, 543, 649, 4196, 1164, 1153, 267, 2852, 543, 10927, 1053, 269, 0, 17138, 910, 8706, 6541, 543, 27828, 281, 4008, 2152, 676, 910, 616, 5894, 8297, 714, 6281, 5396, 910, 1893, 6575, 3446, 1377, 910, 476, 1556, 268, 1321, 8706, 6541, 1299, 27828, 910, 4008, 269, 9732, 4008, 6041, 9732, 2367, 543, 27828, 2367, 543, 27828, 713, 3296, 9607, 519, 6041, 540, 2367, 543, 27828, 538, 519, 2923, 621, 6227, 1547, 670, 1993, 23264, 324, 281, 27828, 1315, 8706, 6541, 713, 10155, 6212, 593, 875, 6708, 547, 799, 513, 2486, 2566, 9740, 610, 20741, 27828, 568, 2938, 547, 581, 519, 16023, 799, 11363, 20440, 267, 11601, 540, 5763, 267, 543, 21630, 4008, 5107, 563, 17746, 656, 514, 963, 11225, 4008, 268, 14337, 10073, 607, 519, 4890, 23314, 630, 773, 267, 875, 24940, 1922, 655, 24100, 513, 1268, 15109, 1200, 268, 610, 5128, 264, 543, 4008, 268, 14337, 13283, 607, 519, 5551, 4110, 540, 27828, 1922, 655, 514, 6541, 630, 773, 267, 875, 24940, 1922, 655, 24100, 513, 1268, 23679, 1131, 899, 547, 581, 1040, 634, 1523, 540, 30566, 545, 27828, 814, 1044, 1031, 538, 4008, 2090, 2094, 519, 2038, 268, 2735, 271, 338, 547, 2491, 2367, 779, 1379, 936, 2021, 2566, 532, 519, 11307, 26305, 1379, 540, 9844, 630, 337, 1430, 982, 19020, 2168, 610, 2797, 1379, 547, 2327, 19169, 1070, 621, 814, 1044, 1031, 547, 2491, 2367, 779, 1072, 19326, 543, 519, 946, 540, 5208, 269, 2290, 779, 4008, 3961, 666, 581, 5812, 609, 610, 1114, 689, 835, 779, 8655, 3023, 693, 4332, 1247, 27828, 543, 8706, 6541, 616, 2757, 2474, 547, 2697, 575, 25311, 4162, 267, 2418, 267, 10096, 267, 543, 2686, 6788, 267, 972, 616, 1082, 811, 2474, 602, 7001, 513, 6626, 8552, 982, 713, 5187, 2065, 9352, 1547, 16549, 1529, 6541, 267, 4008, 4367, 538, 2487, 1296, 267, 29534, 2923, 723, 13991, 513, 1390, 4308, 540, 3007, 547, 519, 4720, 540, 29534, 2367, 713, 27581, 1007, 1826, 540, 4586, 763, 2474, 968, 5733, 1529, 710, 892, 543, 968, 325, 655, 24100, 892, 616, 2356, 1031, 547, 4766, 4008, 3040, 4008, 3961, 568, 606, 1367, 779, 7184, 4371, 2631, 540, 1373, 5256, 267, 4775, 610, 1776, 4008, 713, 568, 1547, 16549, 1529, 6541, 281, 4008, 543, 5208, 1557, 476, 22659, 279, 1913, 1923, 476, 280, 3817, 616, 711, 1373, 2604, 323, 547, 957, 610, 1685, 513, 1978, 1259, 538, 1931, 547, 15260, 675, 2933, 540, 741, 27828, 267, 5208, 814, 1831, 519, 1292, 1505, 538, 1028, 1005, 2933, 543, 1346, 1472, 873, 602, 789, 616, 3532, 269, 10017, 540, 2367, 1299, 27828, 2485, 362, 568, 13991, 547, 519, 23425, 540, 1382, 267, 3069, 267, 543, 4791, 14172, 602, 8441, 519, 6530, 540, 2367, 543, 27828, 713, 9015, 568, 3989, 17618, 607, 519, 1353, 540, 875, 8695, 262, 543, 2367, 781, 6530, 568, 6766, 543, 8032, 676, 1312, 4008, 543, 3023, 267, 543, 1547, 476, 272, 2596, 2035, 2433, 3023, 543, 4008, 267, 27828, 543, 8706, 6541, 267, 13348, 8944, 1770, 2497, 2433, 476, 1015, 6859, 476, 1556, 4367, 476, 1321, 3023, 543, 4008, 269, 769, 713, 2022, 267, 3605, 875, 27828, 543, 8706, 6541, 616, 3989, 543, 1451, 811, 827, 24940, 543, 21522, 4008, 1806, 563, 1432, 568, 6757, 27828, 2523, 609, 9687, 2090, 540, 4008, 607, 513, 4020, 267, 621, 568, 3730, 547, 1413, 693, 875, 968, 1729, 13877, 27828, 814, 13840, 1044, 3989, 1547, 12339, 514, 6541, 270, 5733, 1529, 6541, 8706, 6541, 543, 27828, 267, 610, 835, 781, 4008, 3961, 630, 10767, 651, 1696, 620, 476, 2735, 279, 838, 775, 476, 2735, 276, 1070, 3277, 547, 519, 4110, 547, 799, 7606, 1294, 2933, 607, 24940, 610, 21522, 2016, 1018, 621, 1797, 547, 581, 513, 812, 610, 4807, 538, 2486, 269, 16549, 1529, 6541, 267, 4008, 5107, 267, 543, 26725, 2982, 689, 519, 476, 4198, 271, 338, 519, 476, 4198, 271, 338, 6046, 1920, 7153, 538, 519, 2022, 32685, 4512, 5736, 267, 607, 22988, 5185, 519, 31873, 3463, 540, 9552, 689, 741, 4411, 2112, 14763, 269, 8605, 633, 4008, 8947, 922, 1909, 538, 2870, 1379, 3347, 267, 543, 3812, 4008, 8268, 519, 946, 543, 1689, 540, 4008, 2429, 1686, 713, 814, 6766, 519, 2361, 540, 27828, 267, 607, 2938, 538, 533, 18824, 536, 712, 23135, 340, 781, 4214, 540, 27828, 281, 3812, 676, 2486, 543, 2528, 267, 543, 25735, 538, 3232, 1272, 4586, 29638, 568, 519, 2039, 540, 972, 568, 1167, 867, 766, 1063, 519, 562, 7614, 3023, 540, 835, 781, 5007, 19058, 807, 543, 519, 2634, 8193, 540, 835, 781, 4008, 607, 24940, 610, 21522, 1547, 769, 519, 3275, 2094, 1810, 12245, 25041, 814, 1831, 7022, 267, 811, 543, 811, 1004, 723, 1831, 6273, 547, 6443, 519, 4187, 2443, 2436, 602, 1797, 24749, 267, 5859, 532, 267, 1810, 908, 267, 1818, 7125, 1547, 901, 15853, 2488, 2200, 543, 606, 2606, 7650, 540, 3140, 2090, 540, 27828, 267, 6436, 540, 27828, 543, 4008, 8635, 267, 519, 2078, 1063, 27828, 543, 14920, 267, 519, 3332, 7231, 609, 3309, 2367, 779, 5322, 267, 543, 513, 5758, 540, 4681, 1369, 1585, 1514, 5238, 630, 25531, 267, 519, 1920, 267, 519, 4586, 763, 15257, 540, 4008, 12116, 875, 2486, 7506, 938, 24300, 543, 8226, 540, 3604, 1063, 27828, 630, 6343, 2486, 632, 2114, 3617, 7180, 585, 513, 968, 2006, 14615, 543, 8706, 6541, 630, 6343, 2486, 632, 2114, 3617, 7180, 585, 513, 968, 30513, 14615, 649, 4983, 875, 713, 267, 538, 2490, 267, 7506, 3961, 543, 1514, 2853, 269, 769, 2221, 781, 2528, 267, 972, 568, 1390, 4308, 540, 4160, 1472, 4008, 5107, 543, 741, 2078, 547, 7350, 6757, 27828, 949, 581, 513, 1966, 267, 855, 711, 538, 519, 1259, 596, 1589, 269, 9861, 513, 5256, 538, 2221, 779, 2486, 568, 711, 827, 2713, 543, 18399, 267, 621, 814, 1831, 811, 540, 513, 4305, 910, 27828, 281, 4008, 543, 5208, 4367, 1514, 12503, 543, 2923, 723, 1500, 621, 2352, 585, 9038, 547, 2661, 513, 1272, 538, 799, 789, 616, 711, 1373, 2604, 323, 547, 957, 610, 1685, 513, 1978, 1259, 563, 293, 655, 21442, 5380, 593, 3023, 543, 4008, 1101, 3370, 1395, 949, 476, 1321, 267, 476, 1220, 279, 6086, 633, 14469, 12311, 12354, 476, 1839, 267, 476, 1001, 278, 4008, 22885, 540, 607, 27828, 543, 8706, 6541, 1547, 16549, 1529, 6541, 568, 513, 1305, 540, 19326, 267, 14245, 543, 5107, 799, 616, 15520, 2404, 609, 1373, 513, 812, 543, 5924, 28429, 5256, 3023, 4162, 1004, 540, 1022, 4008, 3961, 610, 4638, 10066, 666, 581, 24940, 267, 855, 1346, 945, 616, 8655, 5256, 693, 4332, 1419, 1995, 6848, 269, 13834, 5107, 616, 3989, 676, 5615, 267, 855, 4008, 11475, 616, 4978, 543, 8456, 827, 27828, 543, 8706, 6541, 519, 2035, 540, 4008, 1909, 543, 4008, 8305, 9189, 4043, 547, 581, 1644, 950, 1004, 12314, 513, 4806, 540, 2623, 609, 2901, 2021, 610, 2367, 267, 789, 949, 26777, 1367, 7648, 543, 17756, 543, 2097, 547, 3494, 602, 519, 1547, 0, 1432, 568, 6046, 1648, 5201, 666, 581, 6383, 538, 1114, 2081, 585, 1383, 267, 621, 666, 581, 1500, 1210, 3859, 8440, 267, 676, 8781, 5755, 267, 610, 676, 13830, 519, 3002, 689, 8444, 602, 4352, 269, 7689, 476, 276, 281, 875, 5982, 28746, 4367, 14318, 6029, 519, 1114, 2081, 602, 606, 13672, 630, 528, 12498, 264, 9325, 666, 3441, 31252, 2047, 14318, 6029, 875, 606, 13672, 649, 2268, 269, 901, 2376, 729, 1071, 22052, 23482, 676, 695, 320, 684, 737, 3757, 880, 1107, 519, 900, 325, 24413, 1107, 543, 29122, 15854, 1408, 540, 1528, 571, 8234, 1260, 900, 325, 267, 1528, 1886, 3326, 1081, 267, 543, 18660, 5201, 281, 891, 616, 513, 1906, 540, 519, 1082, 2474, 563, 288, 3905, 1560, 602, 32307, 5982, 9003, 1317, 540, 922, 1164, 2837, 568, 1767, 547, 1482, 8095, 538, 1114, 10739, 1023, 7061, 3069, 25221, 602, 971, 513, 11140, 666, 606, 4367, 547, 269, 634, 2500, 9570, 568, 1031, 547, 2268, 9357, 1944, 5982, 538, 2474, 540, 519, 1761, 585, 4929, 2800, 519, 20146, 3200, 630, 12364, 264, 568, 519, 1770, 540, 2500, 9570, 602, 3217, 883, 2272, 519, 1826, 540, 269, 1358, 666, 849, 1294, 602, 972, 616, 1114, 2081, 540, 16326, 519, 1114, 2010, 540, 5982, 4052, 6323, 9732, 8444, 543, 22140, 9732, 9357, 2358, 2234, 9911, 543, 741, 3601, 1547, 1677, 2569, 602, 1966, 267, 596, 991, 547, 1174, 519, 1614, 1114, 2081, 538, 799, 3002, 666, 2951, 281, 1572, 26634, 267, 28681, 267, 543, 5982, 3006, 596, 3513, 1294, 891, 5219, 547, 607, 563, 20238, 2747, 3270, 616, 540, 519, 25932, 2956, 538, 519, 4901, 540, 19215, 9238, 2361, 4525, 519, 4367, 547, 32110, 5170, 609, 513, 4901, 540, 2361, 4525, 269, 4985, 547, 21655, 21655, 568, 519, 1353, 540, 519, 1259, 1769, 630, 19491, 11424, 5982, 264, 543, 2339, 2170, 972, 616, 513, 1297, 540, 1114, 2010, 540, 4715, 14029, 8084, 2553, 543, 269, 24658, 538, 2679, 2326, 1867, 835, 540, 519, 15864, 2081, 547, 2268, 543, 4612, 519, 1239, 568, 676, 7893, 24277, 8874, 547, 2268, 5982, 2534, 3330, 8075, 7429, 269, 898, 568, 1455, 547, 1589, 540, 519, 5639, 607, 5473, 1079, 3592, 5094, 3157, 281, 835, 7472, 606, 3355, 3280, 543, 1776, 1110, 5809, 621, 585, 1383, 267, 693, 519, 561, 28449, 630, 27271, 1572, 2048, 341, 4069, 269, 19139, 540, 5982, 7020, 1949, 519, 3349, 2630, 568, 689, 4058, 5583, 585, 3210, 547, 513, 6046, 1033, 29396, 267, 476, 273, 526, 7160, 2073, 476, 277, 270, 1001, 271, 267, 3349, 476, 2420, 267, 2985, 476, 7830, 5697, 8292, 538, 519, 563, 20238, 2747, 2597, 532, 3815, 281, 5982, 2597, 532, 2188, 616, 10155, 1652, 2188, 2919, 585, 5982, 4027, 543, 547, 2708, 1072, 4220, 689, 5982, 13066, 602, 1491, 883, 2272, 269, 24658, 9424, 543, 4559, 829, 787, 30832, 3149, 267, 943, 323, 789, 1331, 519, 1082, 9424, 602, 666, 581, 1031, 547, 2769, 519, 2179, 540, 5982, 267, 519, 1114, 4559, 602, 616, 1031, 267, 543, 519, 269, 1323, 4367, 547, 28264, 7403, 2930, 4063, 281, 606, 4367, 547, 28264, 7403, 476, 24374, 547, 2268, 1114, 6878, 267, 1034, 6882, 14806, 18852, 1450, 519, 269, 4985, 547, 5982, 3106, 910, 2228, 2866, 519, 1614, 2596, 2081, 540, 9013, 4598, 547, 5739, 5982, 616, 281, 476, 272, 264, 12145, 519, 942, 6170, 2282, 513, 2707, 540, 5982, 267, 476, 273, 269, 4985, 267, 1514, 32756, 543, 2081, 540, 7893, 1514, 1362, 4367, 1114, 7239, 616, 30305, 538, 1114, 2081, 538, 15242, 267, 585, 1383, 267, 972, 568, 513, 22634, 1062, 538, 563, 20238, 2747, 7020, 543, 13121, 574, 4479, 543, 5982, 18785, 23363, 1898, 547, 723, 4977, 2081, 547, 2268, 938, 4598, 547, 5982, 267, 519, 2179, 540, 9570, 7503, 3815, 585, 269, 24658, 3797, 585, 519, 2126, 540, 2860, 949, 581, 2016, 538, 1079, 1114, 2081, 5007, 11237, 23735, 2747, 568, 519, 1034, 1455, 1505, 519, 5982, 568, 9447, 547, 513, 1808, 1858, 540, 519, 269, 1879, 3744, 2268, 5982, 267, 789, 946, 1114, 2474, 4470, 593, 2436, 789, 616, 7234, 5982, 4947, 689, 513, 14599, 2707, 267, 519, 5982, 9570, 12842, 676, 513, 1268, 267, 610, 563, 296, 517, 2358, 5982, 4367, 5982, 689, 14599, 9178, 3123, 519, 1570, 621, 10596, 998, 547, 10299, 998, 8031, 855, 1114, 8031, 1450, 8795, 5666, 998, 269, 4985, 513, 15796, 540, 2188, 11887, 519, 2890, 743, 328, 268, 6027, 538, 1614, 1114, 2081, 1142, 2268, 814, 1114, 8733, 6286, 476, 272, 2584, 6248, 3800, 8654, 269, 1323, 4367, 547, 5925, 13808, 676, 3638, 731, 4031, 517, 267, 8783, 21997, 6046, 4915, 8257, 19951, 649, 723, 849, 1336, 2081, 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 ]

[ 2386, 607, 606, 8227, 596, 2285, 873, 519, 1655, 1376, 2009, 676, 3246, 873, 609, 513, 2635, 2732, 543, 7899, 540, 3635, 547, 2327, 789, 2661, 513, 1279, 543, 2635, 1272, 269, 0, 12626, 3427, 2073, 20640, 7570, 11416, 454, 1607, 5578, 2685, 13556, 19596, 17855, 20186, 595, 668, 6202, 607, 513, 811, 3946, 727, 267, 24846, 2213, 3239, 982, 649, 616, 1031, 547, 7487, 2483, 1607, 19596, 17855, 540, 20182, 595, 668, 6202, 1131, 2408, 547, 581, 606, 31498, 14212, 540, 519, 2212, 1826, 676, 7917, 21701, 630, 323, 269, 13679, 279, 1070, 519, 1560, 811, 2693, 6508, 689, 519, 28076, 3254, 676, 519, 1199, 718, 626, 7338, 17363, 630, 14065, 279, 268, 4792, 1040, 21701, 779, 3282, 23609, 540, 519, 7083, 5019, 10725, 941, 14916, 23678, 1386, 543, 7856, 2429, 519, 476, 1704, 628, 543, 476, 1240, 628, 2540, 269, 634, 2220, 698, 540, 7199, 4544, 16536, 936, 1010, 13105, 568, 24188, 540, 519, 811, 2048, 330, 5944, 685, 10305, 2663, 7550, 676, 17363, 538, 1010, 1199, 1023, 269, 634, 3239, 666, 849, 581, 2404, 609, 513, 27948, 5373, 540, 595, 668, 6202, 676, 519, 1951, 7676, 1206, 2006, 543, 23678, 591, 22956, 29965, 344, 630, 14065, 279, 268, 4792, 1070, 18584, 476, 14690, 280, 267, 6029, 1864, 538, 513, 2147, 10460, 543, 6095, 321, 563, 1607, 5578, 2685, 13556, 19596, 17855, 20186, 595, 668, 6202, 607, 513, 811, 3946, 727, 267, 24846, 2213, 3239, 982, 1346, 23609, 20827, 1282, 1010, 10715, 269, 595, 668, 6202, 779, 1631, 4583, 6044, 547, 15656, 23101, 630, 8182, 278, 270, 279, 268, 7761, 264, 547, 5862, 1864, 2048, 342, 11301, 543, 782, 685, 3366, 547, 835, 540, 519, 1034, 2618, 10999, 11579, 7992, 23609, 2479, 13556, 538, 6628, 269, 901, 19596, 6922, 2478, 1346, 6926, 332, 8460, 267, 4758, 595, 668, 6202, 5394, 267, 4158, 4552, 538, 4334, 547, 519, 30034, 512, 19843, 1792, 8898, 609, 15454, 4767, 538, 519, 740, 642, 643, 636, 1694, 14005, 676, 23101, 543, 21701, 563, 7197, 2693, 13556, 538, 519, 1101, 3368, 540, 519, 22733, 2540, 267, 595, 668, 6202, 779, 10639, 607, 26481, 1119, 7949, 630, 1492, 2048, 3630, 557, 267, 3983, 812, 685, 607, 4330, 538, 476, 14917, 278, 676, 519, 9576, 626, 5856, 11977, 5754, 1372, 267, 476, 272, 560, 23778, 540, 29366, 526, 517, 264, 729, 4098, 547, 581, 15260, 612, 539, 538, 519, 1769, 540, 1007, 27367, 543, 3140, 12591, 269, 1261, 849, 3459, 547, 11457, 607, 1945, 540, 513, 5869, 547, 930, 1733, 580, 5515, 607, 606, 12835, 540, 2797, 15698, 563, 306, 1399, 4289, 1227, 267, 713, 19596, 568, 2673, 547, 519, 1688, 540, 20435, 26081, 5341, 13153, 15049, 614, 630, 15876, 275, 268, 4200, 1040, 966, 517, 15049, 614, 949, 723, 1185, 1569, 547, 23609, 540, 519, 7083, 5019, 10725, 1282, 1010, 942, 538, 5507, 269, 3245, 476, 10082, 278, 267, 646, 6170, 2947, 1296, 538, 519, 3028, 540, 7083, 667, 691, 787, 630, 331, 831, 966, 4593, 870, 595, 8145, 11448, 1070, 1282, 799, 942, 646, 1500, 12215, 1310, 23609, 676, 11184, 26056, 32083, 543, 17820, 689, 606, 2232, 538, 595, 990, 550, 12567, 269, 769, 513, 2034, 3643, 547, 5507, 538, 519, 3735, 476, 9965, 271, 338, 646, 849, 1500, 12215, 1310, 4505, 23609, 1107, 585, 1383, 267, 513, 17855, 540, 8361, 24163, 1310, 11835, 657, 8709, 7581, 557, 729, 18584, 476, 9965, 279, 269, 901, 1880, 5299, 267, 1310, 606, 3312, 3282, 538, 918, 14819, 2023, 20066, 267, 729, 20827, 676, 21965, 4083, 540, 6576, 269, 634, 3735, 667, 7469, 928, 674, 657, 8208, 339, 630, 8072, 300, 7236, 2137, 9218, 543, 6651, 685, 1070, 849, 7074, 602, 1352, 1185, 2938, 12215, 676, 15049, 614, 1310, 11709, 29325, 1188, 540, 8176, 594, 543, 28741, 24297, 12756, 269, 901, 19596, 711, 1152, 4564, 519, 22733, 2540, 6492, 585, 3140, 23609, 855, 849, 519, 1569, 11292, 547, 15049, 614, 547, 930, 540, 519, 1034, 1271, 23609, 538, 3703, 10070, 563, 3703, 7467, 476, 2735, 274, 267, 27157, 276, 269, 6872, 454, 21469, 13690, 828, 779, 630, 15433, 273, 1700, 11260, 276, 264, 12092, 729, 3370, 538, 476, 15094, 275, 543, 519, 1101, 1165, 1470, 540, 31408, 22210, 564, 779, 3778, 540, 1250, 1378, 5384, 729, 2022, 21065, 3585, 9102, 538, 519, 1482, 1032, 563, 1323, 19596, 17855, 540, 667, 691, 787, 607, 966, 4593, 870, 595, 8145, 11448, 676, 15049, 614, 729, 4421, 676, 667, 516, 933, 30476, 1299, 2349, 334, 1682, 12064, 267, 4873, 476, 1220, 278, 563, 22307, 2441, 773, 779, 5507, 267, 2904, 476, 1001, 273, 269, 0, 306, 663, 568, 16760, 5386, 14919, 3812, 689, 513, 2707, 1570, 543, 2966, 585, 946, 538, 6405, 610, 585, 824, 1808, 2472, 269, 8307, 2707, 2326, 609, 5078, 4222, 267, 15006, 543, 3337, 4162, 1058, 581, 1031, 269, 13870, 3622, 3322, 11493, 267, 9584, 543, 7654, 11067, 269, 9484, 9653, 883, 15768, 8454, 267, 21921, 1456, 543, 16471, 949, 581, 2556, 454, 10048, 3011, 3293, 9995, 568, 3812, 676, 8023, 2182, 10007, 540, 8795, 7306, 547, 3119, 543, 18520, 19854, 630, 297, 1177, 8302, 543, 595, 821, 8302, 1070, 585, 2450, 5786, 543, 891, 16760, 853, 2158, 616, 2417, 16760, 538, 26432, 1744, 10762, 8177, 630, 309, 10485, 264, 8302, 547, 2569, 519, 9325, 2450, 547, 602, 540, 5070, 269, 0, 763, 4446, 752, 9503, 476, 568, 4092, 538, 519, 7013, 3148, 540, 519, 4095, 1533, 540, 2667, 600, 269, 634, 1292, 2749, 540, 519, 14860, 568, 8125, 10420, 269, 634, 3148, 568, 3957, 1310, 519, 4446, 752, 5757, 269, 634, 4446, 752, 14860, 5631, 5161, 540, 1614, 11889, 13102, 540, 2667, 600, 3557, 910, 12077, 595, 778, 541, 267, 10127, 574, 1146, 329, 267, 543, 670, 841, 752, 663, 328, 269, 7324, 891, 1614, 13102, 267, 595, 778, 541, 20705, 547, 519, 918, 778, 926, 8003, 1354, 519, 3703, 14076, 267, 6466, 10127, 574, 1146, 329, 543, 670, 841, 752, 663, 328, 20705, 547, 519, 31506, 2867, 8664, 269, 10127, 574, 1146, 329, 729, 9674, 689, 31506, 2867, 1310, 519, 476, 3707, 278, 22275, 31558, 282, 609, 519, 1964, 540, 31506, 2867, 9991, 896, 5101, 9031, 630, 852, 16273, 264, 543, 10127, 574, 1146, 329, 896, 3127, 563, 763, 2012, 834, 21574, 752, 257, 814, 6508, 689, 519, 17435, 14505, 1913, 1412, 24154, 262, 1299, 1412, 298, 549, 8339, 4858, 1797, 536, 604, 584, 322, 566, 543, 918, 549, 5580, 6712, 270, 6894, 269, 634, 5757, 4446, 752, 568, 536, 604, 584, 322, 730, 2282, 4498, 527, 1731, 541, 538, 519, 10127, 574, 1146, 329, 8664, 883, 5080, 2742, 5211, 543, 918, 2313, 12011, 4673, 5211, 269, 634, 25318, 540, 713, 536, 604, 584, 322, 730, 5757, 729, 1572, 4858, 330, 549, 676, 519, 2199, 17435, 14505, 1004, 269, 3683, 519, 1296, 267, 4858, 330, 549, 3893, 10736, 883, 4446, 752, 563, 295, 785, 639, 574, 568, 519, 5354, 4984, 538, 519, 4446, 752, 9503, 269, 4340, 547, 519, 476, 1001, 272, 267, 519, 3909, 5888, 540, 519, 14860, 2551, 568, 607, 5205, 281, 27734, 281, 2004, 269, 271, 260, 630, 1240, 267, 1321, 267, 15221, 1070, 12356, 281, 4366, 269, 272, 260, 630, 1704, 267, 4510, 267, 4817, 279, 1070, 10271, 476, 272, 269, 277, 260, 630, 6812, 267, 277, 4037, 1070, 543, 1866, 476, 271, 269, 273, 10065, 634, 4446, 752, 9503, 568, 1482, 607, 824, 4025, 538, 3127, 1141, 12356, 616, 538, 2034, 4102, 12102, 2516, 1310, 27734, 269, 27734, 616, 519, 5354, 538, 595, 778, 541, 8664, 630, 2568, 15992, 1247, 12356, 616, 519, 5354, 538, 670, 841, 752, 663, 328, 8664, 630, 2568, 269, 4029, 8472, 543, 10127, 574, 1146, 329, 8664, 630, 6321, 269, 2918, 260, 1916, 30509, 689, 31506, 2867, 529, 267, 4446, 752, 9503, 568, 849, 519, 22657, 540, 19377, 529, 267, 17435, 553, 553, 267, 28294, 9766, 630, 13828, 645, 880, 333, 1575, 686, 5984, 543, 2725, 924, 328, 267, 681, 784, 1889, 328, 18491, 553, 267, 543, 7401, 4677, 2978, 537, 516, 3464, 264, 543, 930, 670, 3405, 2516, 269, 2986, 519, 1614, 13102, 267, 670, 841, 752, 663, 328, 10588, 543, 10127, 574, 1146, 329, 10588, 723, 7332, 5354, 1247, 595, 778, 541, 723, 9699, 5354, 563, 763, 3148, 729, 8385, 851, 540, 519, 25676, 3120, 10806, 267, 799, 729, 24509, 539, 676, 932, 1791, 2967, 538, 519, 476, 1626, 628, 10601, 547, 519, 918, 5255, 10806, 543, 13950, 676, 1010, 3368, 1532, 549, 750, 21919, 531, 333, 541, 18885, 269, 2991, 519, 2669, 540, 715, 4673, 23902, 18885, 267, 519, 10806, 267, 799, 3357, 547, 581, 1572, 519, 10806, 540, 10609, 5684, 584, 267, 2968, 4830, 543, 729, 12199, 676, 519, 18939, 540, 21919, 531, 333, 541, 18885, 269, 769, 519, 476, 1704, 628, 10601, 267, 519, 2063, 918, 5255, 14610, 781, 8250, 9310, 519, 4622, 540, 519, 918, 778, 926, 10806, 267, 543, 519, 4341, 540, 10609, 5684, 584, 5293, 883, 519, 3946, 540, 519, 918, 778, 926, 17710, 267, 945, 5555, 6410, 741, 3854, 689, 8575, 756, 836, 547, 10609, 5684, 584, 269, 634, 918, 778, 926, 10806, 729, 24509, 539, 547, 3703, 268, 19328, 538, 476, 8146, 273, 563, 4913, 267, 519, 17282, 540, 28753, 531, 7276, 538, 10127, 574, 1146, 329, 543, 670, 841, 752, 663, 328, 6368, 8694, 609, 519, 4367, 540, 3703, 4341, 538, 19377, 269, 634, 3768, 22866, 595, 778, 541, 8664, 630, 6518, 849, 2882, 27057, 1634, 607, 670, 841, 752, 663, 328, 8664, 264, 729, 3769, 547, 2667, 600, 676, 3703, 681, 592, 619, 538, 476, 8146, 273, 269, 634, 22071, 540, 519, 8664, 729, 8125, 10420, 269, 634, 3703, 14992, 3964, 513, 1360, 1804, 1297, 540, 21281, 25052, 630, 20135, 476, 14991, 264, 538, 519, 1858, 543, 8125, 10420, 7153, 607, 513, 1360, 1271, 4099, 538, 713, 851, 540, 519, 2197, 269, 2353, 2413, 941, 5189, 547, 519, 3148, 538, 2038, 14206, 2540, 563, 1103, 476, 3707, 278, 267, 950, 513, 5418, 321, 4593, 924, 729, 4371, 538, 31506, 2867, 267, 519, 8664, 729, 5258, 883, 1079, 282, 519, 9456, 851, 540, 31506, 2867, 799, 568, 1634, 607, 10127, 574, 1146, 329, 7283, 609, 3127, 6466, 519, 824, 851, 8593, 896, 5101, 9031, 269, 2983, 25140, 519, 3148, 568, 11303, 676, 15113, 689, 782, 1614, 5011, 4849, 922, 7262, 10750, 10465, 609, 16273, 269, 715, 8811, 541, 28234, 13568, 20858, 267, 2278, 540, 10854, 531, 597, 898, 8811, 1662, 267, 3081, 602, 834, 21026, 2667, 600, 1315, 17368, 14665, 19377, 610, 4446, 752, 9503, 568, 519, 10137, 540, 519, 20523, 5080, 2742, 270, 9288, 724, 3534, 9503, 540, 19377, 538, 1169, 2460, 689, 2528, 547, 11585, 8487, 10112, 600, 781, 5080, 2742, 9503, 630, 852, 14356, 538, 16273, 264, 1185, 7332, 2173, 1994, 640, 2551, 269, 2201, 519, 552, 557, 540, 15652, 267, 646, 8157, 2238, 14556, 1881, 676, 519, 7332, 13477, 607, 1134, 6837, 609, 519, 5449, 2348, 606, 6316, 269, 589, 22275, 31558, 1185, 1044, 6069, 585, 31506, 2867, 10588, 269, 631, 1794, 636, 323, 541, 2059, 609, 5178, 9017, 27958, 30605, 630, 6533, 5851, 10579, 540, 2667, 600, 264, 24964, 2429, 519, 14860, 1418, 2358, 519, 6837, 543, 5466, 11401, 18997, 519, 13999, 827, 519, 6364, 540, 15652, 593, 519, 4493, 540, 4984, 269, 2201, 476, 736, 5988, 476, 3707, 278, 631, 9567, 12858, 631, 1794, 636, 323, 541, 22305, 13894, 513, 15007, 1107, 2667, 600, 2817, 626, 7332, 781, 13482, 693, 8125, 10420, 269, 1703, 1310, 1776, 2462, 5870, 729, 4371, 693, 8125, 10420, 593, 476, 279, 4873, 476, 3707, 278, 269, 5637, 519, 11401, 267, 799, 941, 13984, 676, 513, 1804, 3296, 540, 12356, 6976, 26318, 269, 1261, 729, 849, 1851, 519, 1906, 945, 941, 15747, 538, 20808, 519, 4446, 752, 9503, 3148, 540, 2667, 600, 267, 2523, 10127, 574, 1146, 329, 609, 3127, 269, 631, 1794, 636, 323, 541, 729, 519, 6205, 540, 519, 15518, 566, 602, 5418, 12184, 1354, 519, 7101, 743, 858, 324, 8189, 602, 24458, 602, 513, 851, 540, 31506, 2867, 630, 852, 538, 16273, 264, 3788, 609, 3127, 5103, 1373, 7332, 2173, 1994, 640, 630, 30005, 10127, 574, 1146, 329, 8664, 1040, 1488, 684, 27958, 932, 7701, 1705, 711, 6443, 645, 867, 565, 16211, 22277, 538, 476, 3707, 277, 855, 9053, 547, 798, 1514, 960, 607, 513, 9777, 1807, 543, 849, 547, 10575, 3424, 519, 30856, 3872, 9872, 267, 717, 5861, 269, 5441, 269, 10251, 4166, 646, 5747, 6028, 513 ]

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

[ 20467, 10592, 2005, 814, 711, 1044, 8810, 2436, 519, 3830, 692, 21851, 6234, 513, 3867, 277, 15396, 321, 3867, 277, 13157, 322, 3867, 277, 15396, 323, 3867, 277, 32556, 13757, 513, 1875, 13700, 20190, 3070, 267, 314, 278, 316, 855, 519, 700, 6387, 267, 5244, 514, 267, 543, 8682, 16466, 28756, 675, 1131, 17538, 602, 621, 1281, 711, 269, 0, 15507, 454, 2171, 946, 12897, 547, 1711, 519, 1655, 1995, 585, 596, 269, 5901, 593, 19855, 952, 596, 616, 15528, 609, 602, 267, 610, 1265, 856, 875, 547, 4383, 12897, 780, 273, 526, 3446, 2979, 3992, 1544, 910, 12143, 7151, 692, 23087, 454, 763, 6044, 942, 585, 3446, 1079, 1565, 30211, 593, 2185, 2101, 2127, 282, 7393, 519, 1702, 540, 519, 3490, 4557, 711, 725, 267, 5355, 21711, 5473, 23937, 543, 10208, 687, 267, 7311, 3617, 2507, 692, 15761, 847, 540, 3732, 273, 526, 3446, 2979, 3992, 1544, 692, 763, 9916, 2152, 4125, 282, 3853, 267, 10148, 543, 3347, 630, 310, 4150, 267, 476, 1001, 274, 1040, 634, 2079, 6663, 693, 4058, 519, 3070, 13374, 267, 3079, 540, 1152, 2047, 20515, 519, 2626, 269, 634, 28879, 21295, 6267, 18113, 1174, 519, 5330, 1878, 5473, 4834, 267, 7515, 267, 11708, 267, 3466, 563, 763, 1883, 1565, 6662, 585, 519, 6128, 3992, 568, 282, 547, 3986, 519, 15334, 538, 1840, 543, 12408, 269, 634, 1053, 786, 4019, 741, 1620, 540, 1840, 543, 12408, 547, 2087, 9819, 21711, 1369, 476, 1911, 269, 2290, 1383, 540, 713, 568, 476, 736, 266, 2412, 284, 2568, 282, 1776, 1383, 568, 476, 2004, 268, 1015, 284, 2412, 269, 634, 1053, 616, 849, 4397, 547, 5659, 2042, 1369, 476, 1911, 271, 267, 676, 7311, 1840, 543, 12408, 3631, 563, 763, 4081, 1893, 3322, 8239, 267, 1806, 543, 5717, 269, 634, 8239, 3344, 2285, 519, 6267, 7850, 1620, 540, 519, 6310, 4191, 630, 297, 2129, 2335, 525, 267, 476, 1001, 274, 1040, 634, 815, 1129, 14550, 602, 1079, 1871, 5036, 616, 3160, 269, 1280, 3236, 476, 275, 266, 278, 284, 1556, 267, 14550, 602, 519, 2040, 540, 476, 275, 543, 476, 278, 9103, 1023, 547, 476, 1556, 269, 634, 1129, 3436, 14550, 602, 835, 1297, 568, 3152, 982, 1776, 1297, 540, 1305, 540, 2338, 269, 1280, 1383, 267, 476, 736, 268, 276, 285, 1015, 18575, 602, 519, 3017, 1063, 476, 736, 543, 476, 276, 568, 3152, 982, 519, 476, 1015, 1871, 563, 763, 1565, 3077, 543, 849, 1604, 568, 2875, 7874, 269, 634, 4901, 7886, 6087, 519, 1053, 547, 5659, 519, 2619, 547, 4267, 267, 538, 1899, 609, 519, 5528, 540, 519, 4116, 269, 634, 6267, 616, 849, 7494, 9415, 547, 2307, 2055, 267, 2523, 538, 2127, 602, 616, 14845, 269, 901, 10597, 1620, 267, 607, 519, 4116, 568, 1287, 519, 4316, 547, 2417, 14969, 593, 519, 11444, 547, 8757, 519, 3070, 563, 13528, 894, 4879, 568, 4294, 1282, 519, 3992, 269, 634, 4116, 2708, 525, 1053, 1620, 998, 6140, 7311, 2055, 269, 634, 1053, 616, 2016, 2055, 267, 543, 1287, 998, 1362, 5717, 519, 11444, 547, 519, 3435, 616, 5941, 630, 2704, 874, 517, 810, 267, 476, 1001, 274, 1040, 6271, 2460, 540, 6268, 14122, 2016, 17118, 1282, 519, 1576, 540, 3267, 3367, 2859, 454, 29241, 713, 3561, 454, 1892, 14905, 454, 1892, 17090, 454, 1892, 8863, 2975, 8980, 302, 454, 263, 2108, 273, 526, 3446, 2979, 3992, 1544, 12143, 7151, 1923, 11762, 543, 4270, 18838, 10749, 910, 476, 1911, 271, 1913, 5608, 562, 6155, 8094, 263, 273, 526, 6103, 4569, 7689, 4643, 12143, 7151, 1923, 11762, 543, 4270, 18838, 10749, 910, 476, 1911, 271, 9293, 994, 2108, 273, 526, 6103, 4569, 7689, 4643, 12143, 7151, 1923, 11762, 543, 4270, 18838, 10749, 910, 476, 1911, 271, 9293, 5608, 562, 6155, 269, 4179, 2517, 29324, 327, 732, 14492, 270, 25531, 270, 4037, 278, 7818, 268, 273, 526, 17263, 2173, 987, 268, 1652, 517, 13807, 534, 563, 12812, 547, 1711, 513, 6085, 454, 290, 4047, 290, 298, 8946, 2464, 292, 590, 4456, 12195, 2464, 910, 5990, 312, 9338, 12569, 28218, 22400, 570, 8008, 2975, 454, 8893, 4643, 454, 1103, 519, 1439, 267, 621, 568, 4397, 602, 519, 1053, 1131, 723, 519, 2556, 1620, 2877, 547, 1118, 873, 811, 9280, 540, 7713, 519, 1184, 540, 3141, 23438, 543, 23863, 538, 741, 1378, 1913, 269, 9747, 267, 519, 6859, 540, 713, 3992, 1544, 1223, 581, 1759, 593, 519, 5748, 540, 1620, 602, 5205, 563, 274, 9664, 263, 16020, 1913, 264, 10112, 9892, 454, 8893, 1544, 454, 684, 543, 875, 519, 28835, 540, 519, 3618, 5540, 519, 2990, 540, 519, 3141, 950, 621, 14380, 543, 950, 621, 5036, 1131, 581, 513, 1454, 5363, 1907, 547, 948, 519, 1053, 1174, 875, 519, 1767, 5163, 540, 519, 3141, 4386, 269, 769, 519, 1439, 267, 621, 568, 4397, 602, 519, 1053, 1131, 723, 519, 2556, 454, 275, 9664, 263, 1911, 271, 1913, 264, 10112, 9892, 454, 1103, 4947, 909, 609, 891, 8925, 267, 621, 786, 581, 711, 1881, 547, 873, 711, 547, 6615, 741, 3206, 547, 3435, 602, 616, 2047, 5532, 547, 519, 2042, 4805, 269, 1358, 786, 849, 581, 2838, 547, 1331, 454, 272, 9664, 263, 7742, 1913, 264, 10112, 9892, 454, 8893, 1544, 454, 12234, 267, 513, 1134, 19603, 545, 4327, 3992, 1544, 2636, 519, 2875, 547, 4487, 519, 1565, 1184, 543, 1852, 741, 1565, 269, 4475, 267, 3992, 1544, 1058, 8597, 585, 519, 1565, 2115, 540, 782, 1053, 454, 272, 9664, 263, 7742, 1913, 264, 10112, 9892, 454, 13043, 543, 3163, 281, 7689, 4643, 454, 2026, 519, 2278, 540, 519, 1957, 12662, 621, 267, 519, 1292, 6662, 540, 519, 1544, 568, 547, 1118, 1053, 581, 2111, 547, 10146, 519, 1272, 4783, 540, 17984, 543, 2721, 12805, 5961, 585, 1169, 2582, 2985, 540, 519, 8343, 4760, 269, 5047, 267, 547, 1118, 621, 2009, 585, 1053, 547, 3927, 20559, 782, 519, 2185, 11775, 16030, 513, 18173, 1272, 4783, 563, 275, 9664, 263, 1911, 271, 1913, 264, 10112, 9892, 454, 8893, 1544, 454, 17843, 2747, 568, 4105, 538, 2027, 2069, 607, 1114, 1053, 723, 1114, 13344, 543, 15285, 1058, 4061, 581, 3769, 538, 519, 3992, 1544, 269, 769, 519, 3992, 1544, 267, 519, 1114, 328, 1807, 538, 519, 2027, 2069, 1058, 1397, 875, 547, 3313, 519, 1523, 17117, 454, 272, 9664, 263, 7742, 1913, 264, 10112, 9892, 454, 10861, 454, 11592, 856, 2101, 10486, 543, 3604, 269, 6341, 7204, 1797, 30286, 2055, 547, 519, 2698, 1895, 267, 3850, 873, 942, 547, 1589, 267, 543, 1287, 10912, 593, 1362, 2818, 11347, 540, 519, 2702, 31324, 540, 519, 1895, 630, 2865, 2111, 267, 3328, 267, 2547, 2111, 1040, 901, 1184, 6212, 3025, 454, 273, 9664, 263, 4335, 1913, 264, 10112, 9892, 454, 8893, 4643, 454, 763, 15823, 1913, 538, 513, 9910, 521, 15676, 1590, 17663, 540, 1614, 6810, 267, 799, 616, 4098, 267, 1647, 543, 1439, 609, 519, 17181, 540, 513, 2140, 269, 22387, 29345, 553, 1404, 513, 2101, 1909, 538, 2110, 1603, 4245, 1317, 454, 275, 9664, 263, 1911, 271, 1913, 264, 10112, 9892, 454, 8893, 4643, 454, 696, 1308, 885, 5148, 476, 272, 2875, 568, 606, 2296, 5678, 3231, 1676, 630, 21822, 264, 693, 519, 13591, 1377, 282, 476, 274, 1053, 723, 1044, 8995, 609, 3007, 17211, 30759, 4524, 630, 4696, 8461, 264, 16340, 6662, 281, 676, 519, 1439, 540, 519, 3992, 267, 519, 4841, 1058, 581, 2111, 547, 2697, 543, 30387, 454, 273, 9664, 263, 4335, 1913, 264, 10112, 9892, 454, 8893, 1544, 454, 8196, 27326, 4804, 11621, 952, 3617, 610, 7216, 4804, 11621, 952, 3617, 25103, 547, 25204, 779, 12525, 16860, 543, 11154, 539, 25204, 779, 12525, 16860, 952, 3617, 13445, 281, 19019, 531, 5583, 1107, 713, 3044, 20781, 547, 519, 1585, 3029, 540, 5528, 2016, 547, 519, 454, 273, 9664, 263, 4335, 1913, 264, 10112, 9892, 454, 266, 14321, 13199, 1220, 6187, 0, 1012, 1215, 798, 596, 798, 8262, 13356, 2711, 6498, 2496, 15965, 728, 16360, 580, 13356, 2711, 27708, 267, 703, 4336, 267, 681, 15929, 300, 1712, 24263, 300, 1712, 264, 7024, 513, 8262, 13356, 2711, 4171, 1871, 568, 630, 10472, 1315, 27708, 1070, 543, 4171, 4336, 568, 607, 9138, 269, 1403, 24263, 1590, 581, 5340, 547, 5352, 513, 1267, 609, 519, 9138, 4336, 267, 519, 9138, 24263, 7154, 568, 4294, 780, 1432, 568, 4336, 538, 8262, 13356, 2711, 7941, 2496, 306, 7051, 3890, 540, 19147, 1505, 538, 8262, 13356, 2711, 16849, 513, 8262, 13356, 2711, 4171, 1871, 568, 630, 10472, 1315, 27708, 1070, 543, 4171, 9053, 4336, 568, 630, 10472, 269, 4336, 3890, 1107, 27708, 269, 4336, 3890, 5148, 1924, 538, 713, 2013, 267, 476, 4391, 272, 275, 4792, 4649, 269, 276, 4343, 8517, 876, 779, 4336, 568, 476, 279, 2073, 543, 476, 1911, 1822, 271, 2048, 338, 4336, 568, 476, 271, 1547, 1924, 519, 1267, 1058, 723, 513, 4336, 540, 476, 279, 2073, 711, 476, 1015, 16317, 1432, 568, 519, 3017, 1063, 8918, 543, 8262, 13356, 2711, 2496, 297, 6072, 779, 8262, 13356, 2711, 814, 519, 3606, 5413, 602, 621, 666, 723, 606, 17062, 630, 8117, 13113, 264, 1297, 540, 9704, 593, 1312, 5011, 540, 519, 8918, 1448, 267, 3908, 1152, 676, 519, 2139, 3965, 269, 8262, 13356, 2711, 568, 26057, 779, 17062, 1790, 13440, 1707, 10230, 5399, 780, 2162, 1548, 568, 8262, 13356, 2711, 4336, 2496, 288, 8262, 13356, 2711, 5161, 540, 606, 17062, 8856, 8870, 796, 2675, 4705, 1871, 543, 513, 476, 3953, 19229, 8870, 4336, 269, 1403, 4642, 610, 2318, 267, 519, 4336, 568, 519, 1297, 540, 9704, 547, 519, 1318, 540, 519, 8918, 1448, 269, 1403, 2942, 267, 519, 796, 2675, 4705, 1871, 540, 519, 1297, 568, 16611, 676, 4557, 547, 519, 1379, 540, 519, 2258, 566, 540, 519, 4336, 780, 1692, 798, 596, 2040, 8262, 13356, 2711, 2496, 4118, 269, 8262, 13356, 2711, 269, 1039, 16360, 580, 13356, 2711, 1130, 264, 568, 1031, 547, 5173, 519, 25226, 2040, 540, 1079, 8262, 13356, 7769, 269, 901, 1505, 568, 1031, 547, 1265, 12980, 1840, 540, 1804, 2338, 540, 2039, 1454, 3152, 982, 519, 2039, 540, 4102, 1239, 1826, 5595, 540, 10084, 1510, 18731, 609, 519, 8856, 540, 519, 1267, 780, 1692, 798, 594, 1305, 2462, 8918, 1871, 2496, 763, 1655, 1259, 547, 1711, 513, 8262, 13356, 2711, 1843, 609, 606, 3355, 8918, 1871, 568, 3842, 513, 5569, 267, 899, 713, 281, 8262, 13356, 2711, 1871, 815, 1007, 8262, 13356, 2711, 263, 2108, 271, 269, 4905, 892, 5148, 3371, 267, 1871, 814, 513, 1871, 540, 4010, 476, 271, 269, 4905, 269, 1403, 519, 3355, 1871, 568, 606, 8870, 267, 596, 666, 9108, 1780, 621, 547, 519, 4020, 528, 780, 2971, 1215, 798, 594, 917, 952, 1250, 8262, 18204, 518, 568, 4642, 2496, 763, 28162, 269, 2979, 269, 8262, 18204, 518, 269, 1129, 636, 3890, 1505, 2337, 721, 547, 2697, 2436, 513, 8262, 18204, 518, 568, 2318, 610, 4642, 610, 2942, 780, 272, 269, 7024, 910, 272, 950, 1297, 568, 2942, 563, 273, 269, 7024, 476, 271, 950, 1297, 568, 4642, 563, 274, 269, 7024, 1341, 272, 950, 1297, 568, 2318, 780, 1692, 547, 7941, 543, 7941, 513, 8262, 13356, 2711, 538, 10084, 2496, 297, 6072, 269, 4118, 11065, 580, 13356, 2711, 6155, 643, 728, 3890, 6396, 269, 13517, 269, 634, 28162, 269, 4118, 11065, 580, 13356, 2711, 6155, 643, 728, 16360, 580, 13356, 2711, 27708, 267, 703, 4336, 267, 681, 15929, 300, 1712, 24263, 300, 1712, 264, 7024, 513, 8262, 13356, 2711, 4171, 1871, 568, 630, 10472, 1315, 27708, 1070, 543, 4171, 4336, 568, 607, 9138, 269, 1403, 24263, 1590, 581, 5340, 547, 5352, 513, 1267, 609, 519, 9138, 4336, 267, 519, 9138, 24263, 7154, 568, 4294, 780, 1692, 798, 596, 5173, 519, 14230, 540, 513, 8262, 13356, 2711, 2496, 8025, 529, 1505, 7024, 513, 1079, 3887, 2211, 8262, 13356, 2711, 5044, 5627, 519, 1267, 540, 7941, 2414, 18204, 1537, 19368, 4553, 676, 519, 1267, 540, 14230, 593, 519, 1079, 1766, 1343, 7229, 609, 24263, 2687, 547, 519, 4569, 3519, 3667, 5468, 269, 901, 1505, 7024, 513, 8262, 13356, 2711, 4171, 1871, 568, 519, 8870, 851, 540, 519, 23479, 630, 10472, 1315, 27708, 264, 17031, 1524, 780, 1012, 1548, 568, 519, 2132, 1871, 540, 519, 8262, 13356, 2711, 1505, 2496, 27987, 1871, 281, 901, 1505, 7024, 513, 8262, 13356, 2711, 799, 6585, 519, 1267, 630, 10472, 1315, 27708, 1040, 1401, 4003, 281, 1403, 9936, 27708, 568, 476, 271, 610, 519, 3169, 23479, 1281, 711, 723, 513, 2165, 3215, 8918, 7269, 1287, 25226, 1401, 4003, 568, 16207, 269, 12989, 3292, 568, 1031, 547, 9414, 519, 7941, 20465 ]

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

[ 454, 6097, 547, 519, 772, 2529, 269, 4972, 540, 4065, 543, 519, 2817, 4659, 540, 17402, 267, 827, 476, 3953, 2929, 4079, 538, 519, 2136, 2276, 3112, 1224, 269, 769, 1249, 267, 476, 2004, 260, 540, 772, 2529, 269, 4079, 3112, 1224, 606, 21632, 17263, 1377, 1433, 269, 476, 3607, 2929, 2475, 4079, 3668, 519, 2596, 7924, 1983, 2877, 547, 2844, 7694, 563, 26877, 3438, 2329, 543, 1970, 7924, 616, 3978, 2152, 585, 2475, 7855, 267, 14519, 267, 543, 2950, 269, 15775, 1453, 547, 1224, 693, 741, 3446, 1377, 568, 2565, 607, 621, 5036, 873, 909, 585, 2104, 1967, 269, 7335, 547, 1453, 1354, 789, 666, 1224, 543, 3246, 1569, 547, 2835, 616, 4105, 547, 2679, 513, 2542, 2528, 269, 3371, 779, 875, 2542, 5036, 909, 1453, 585, 1967, 538, 1272, 563, 272, 269, 898, 9214, 1162, 24517, 1674, 543, 2598, 23002, 454, 19894, 2542, 5751, 513, 1126, 779, 2634, 543, 10597, 9015, 543, 5834, 269, 898, 779, 4686, 585, 1360, 1762, 1453, 547, 1694, 1869, 585, 3108, 543, 1445, 593, 835, 3364, 269, 7335, 666, 948, 269, 589, 1126, 949, 7620, 1205, 26531, 1282, 2542, 267, 855, 609, 942, 267, 789, 786, 1451, 547, 1445, 2394, 519, 1439, 269, 7335, 4679, 1453, 779, 3007, 12732, 267, 1582, 16162, 23002, 267, 543, 3965, 12802, 734, 24207, 1983, 538, 15296, 563, 273, 269, 3763, 338, 22569, 1588, 543, 27065, 454, 3412, 698, 1588, 11942, 5042, 543, 1514, 1646, 269, 22569, 1456, 267, 19234, 267, 543, 3843, 1007, 2081, 540, 3257, 1919, 666, 948, 1453, 1020, 2565, 3206, 543, 1966, 6061, 1983, 269, 2290, 540, 519, 6574, 2640, 540, 2542, 568, 621, 25242, 9345, 269, 1879, 513, 1126, 14509, 513, 1650, 1433, 267, 789, 4605, 3388, 12667, 569, 538, 741, 8186, 563, 20091, 3292, 585, 3214, 666, 8300, 1453, 547, 946, 741, 9345, 543, 2263, 4025, 267, 1004, 267, 2053, 267, 543, 2621, 3564, 741, 2833, 269, 11109, 513, 1126, 7058, 1018, 779, 2469, 547, 4755, 538, 519, 1650, 543, 7487, 741, 10761, 607, 789, 1224, 513, 1433, 568, 513, 5963, 5863, 3364, 269, 589, 1126, 781, 9345, 10607, 607, 789, 1224, 2835, 538, 1114, 11964, 269, 22419, 616, 2565, 17024, 269, 11879, 3206, 25242, 5876, 267, 4543, 1453, 8011, 693, 1153, 543, 538, 1272, 563, 274, 269, 16259, 585, 14288, 11773, 454, 763, 811, 1913, 513, 1126, 25998, 609, 267, 519, 811, 1913, 789, 1451, 543, 519, 6793, 741, 1893, 1983, 269, 634, 811, 789, 1224, 267, 519, 811, 789, 917, 543, 519, 2362, 741, 8458, 540, 4271, 908, 689, 1164, 1153, 543, 8011, 532, 538, 1272, 563, 2750, 19397, 1453, 547, 2542, 1354, 9251, 4679, 519, 10171, 540, 873, 3257, 1134, 538, 1153, 269, 898, 849, 13976, 741, 1514, 1983, 543, 2337, 873, 547, 5968, 1732, 563, 4942, 9582, 267, 13093, 2438, 4656, 267, 5711, 2542, 21711, 267, 6863, 267, 543, 2542, 8223, 616, 519, 2947, 2038, 2542, 1983, 1898, 585, 1646, 269, 7335, 693, 606, 2038, 2085, 2337, 1453, 2744, 891, 1983, 269, 1358, 1451, 1007, 1913, 267, 1332, 741, 6863, 267, 543, 1020, 6947, 1983, 734, 718, 540, 799, 616, 4105, 547, 4081, 1967, 563, 275, 269, 12706, 338, 513, 774, 1009, 585, 11310, 454, 15447, 1578, 568, 1271, 538, 782, 2127, 540, 1272, 269, 634, 811, 1453, 1224, 267, 519, 811, 789, 917, 269, 7335, 13976, 7279, 1317, 519, 5467, 786, 1616, 547, 917, 1018, 4523, 1985, 269, 1358, 2307, 2055, 543, 4605, 1114, 7653, 563, 20091, 16965, 547, 1453, 21040, 741, 1620, 540, 519, 1158, 543, 22262, 741, 9345, 269, 898, 849, 2337, 873, 1020, 6947, 543, 1893, 1983, 543, 547, 1174, 519, 2854, 2262, 269, 4634, 1310, 513, 1126, 16137, 547, 1224, 267, 621, 781, 1869, 1271, 585, 596, 547, 1224, 16965, 1927, 269, 19530, 713, 9137, 0, 21010, 532, 1533, 543, 2199, 2229, 3401, 454, 288, 1184, 1572, 20291, 7127, 267, 1031, 676, 4872, 2066, 519, 2197, 267, 568, 5921, 547, 6474, 15602, 1004, 609, 8027, 269, 769, 5842, 12770, 779, 4528, 267, 519, 1062, 1223, 581, 1818, 621, 9875, 585, 930, 5095, 547, 1205, 16280, 563, 307, 629, 603, 320, 16026, 1185, 1175, 4503, 21054, 538, 27638, 543, 729, 6849, 26683, 269, 634, 476, 2537, 4458, 6040, 1185, 11739, 696, 593, 2828, 685, 19683, 585, 519, 1101, 5722, 3275, 540, 1200, 6379, 267, 1354, 1373, 7608, 547, 513, 10151, 8027, 1982, 585, 9176, 2021, 269, 1809, 609, 519, 2530, 540, 519, 21054, 267, 519, 8027, 1982, 1352, 8910, 4294, 547, 2661, 538, 1310, 4758, 4332, 2443, 5497, 585, 3885, 2443, 729, 1100, 3476, 606, 4781, 563, 5475, 1896, 4374, 538, 513, 15678, 267, 799, 513, 27514, 1982, 585, 15602, 1004, 1185, 6976, 585, 1247, 1352, 16626, 267, 16026, 4682, 547, 513, 15839, 2679, 538, 5842, 12770, 779, 3162, 540, 10369, 8378, 547, 4019, 585, 513, 8628, 267, 13564, 1242, 8027, 1770, 269, 1703, 267, 513, 2013, 11832, 1352, 8910, 2760, 1558, 4280, 1200, 811, 982, 513, 18797, 2055, 547, 3313, 952, 1352, 729, 14718, 563, 5278, 540, 519, 1919, 646, 4280, 281, 5620, 596, 2479, 1044, 16770, 14213, 539, 1247, 7680, 26683, 286, 5620, 596, 2479, 1185, 547, 946, 5208, 547, 1832, 3054, 2922, 1247, 7680, 26683, 286, 5620, 596, 2479, 22121, 3023, 585, 513, 1747, 547, 3251, 286, 968, 17829, 616, 519, 2055, 602, 2731, 536, 6139, 1042, 803, 2223, 1352, 1767, 269, 968, 2662, 7241, 1250, 1995, 568, 540, 1373, 16770, 14213, 539, 267, 610, 1018, 594, 1185, 547, 798, 538, 1931, 547, 3251, 2922, 593, 519, 10754, 267, 12582, 1406, 829, 1555, 547, 2436, 610, 711, 594, 17330, 8027, 3034, 6546, 1554, 267, 16026, 729, 5483, 602, 519, 6060, 1352, 8910, 1044, 2016, 1759, 593, 1200, 4267, 547, 519, 18102, 7012, 1406, 1164, 2614, 547, 20618, 585, 8628, 11215, 8027, 269, 898, 729, 513, 14042, 9514, 1310, 606, 2907, 911, 15436, 1944, 1906, 3275, 269, 968, 296, 2219, 267, 2048, 2791, 2322, 803, 593, 519, 10754, 1318, 1631, 267, 15508, 267, 594, 786, 6146, 8885, 16224, 892, 1352, 1767, 563, 1432, 16026, 11402, 609, 1346, 2055, 568, 1572, 20291, 7127, 267, 513, 1062, 2966, 547, 6474, 1004, 7680, 26683, 609, 8027, 269, 769, 5842, 12770, 779, 1062, 267, 23078, 616, 4280, 476, 1626, 4295, 2055, 267, 543, 741, 4267, 616, 2016, 513, 1448, 1871, 799, 568, 1287, 7381, 1221, 269, 634, 2698, 1297, 568, 5497, 547, 2992, 23078, 685, 13438, 282, 4867, 267, 513, 6060, 540, 476, 14093, 2798, 1797, 789, 20618, 585, 835, 540, 519, 2749, 779, 8628, 11215, 8027, 4559, 267, 799, 568, 13564, 1242, 676, 519, 2229, 543, 2501, 609, 12109, 1706, 895, 11215, 2533, 269, 7248, 1218, 609, 2539, 8464, 949, 20618, 585, 10519, 6351, 610, 513, 1668, 19044, 856, 540, 4884, 267, 855, 952, 789, 1616, 8027, 538, 5842, 12770, 267, 789, 723, 547, 7227, 3670, 3275, 1354, 2921, 519, 1449, 1586, 563, 15987, 519, 2749, 779, 4972, 540, 13067, 6804, 1145, 543, 8081, 633, 24184, 814, 606, 5993, 6578, 540, 1269, 6795, 279, 2929, 543, 519, 5354, 540, 602, 568, 6170, 593, 8027, 267, 972, 3274, 5749, 1406, 2614, 8628, 11215, 8027, 4559, 2139, 547, 13918, 519, 5215, 540, 15602, 1004, 538, 5842, 12770, 269, 630, 288, 476, 1001, 280, 5619, 6059, 519, 1297, 540, 15602, 1004, 693, 811, 982, 476, 279, 267, 1822, 4700, 634, 12939, 585, 13170, 568, 2047, 13615, 547, 8027, 8244, 267, 543, 1318, 1631, 267, 10199, 835, 21017, 540, 1004, 945, 1491, 519, 4879, 6060, 1164, 2614, 547, 20618, 563, 17606, 779, 2731, 26724, 17077, 2200, 2223, 1767, 595, 2106, 628, 807, 18491, 754, 571, 267, 519, 8257, 779, 1244, 14280, 8689, 540, 4058, 543, 4640, 269, 968, 2467, 814, 547, 581, 930, 3922, 1436, 267, 19890, 267, 2394, 649, 723, 930, 8027, 4199, 585, 1169, 2582, 1268, 3034, 10870, 867, 3990, 7127, 729, 5921, 547, 581, 513, 811, 6662, 1907, 982, 519, 3105, 1062, 267, 799, 6035, 2200, 593, 513, 1101, 2275, 727, 267, 1101, 1606, 5703, 4493, 269, 769, 4334, 267, 20291, 7127, 6663, 547, 3313, 945, 568, 1034, 7925, 543, 945, 1058, 4061, 1205, 1569, 547, 519, 3908, 3761, 540, 2139, 8027, 563, 7437, 5638, 13668, 267, 519, 5842, 12770, 5398, 4964, 543, 1160, 14276, 320, 5833, 519, 2055, 543, 18176, 5690, 1031, 538, 5842, 12770, 779, 20291, 7127, 18102, 267, 799, 814, 2760, 1354, 1044, 1500, 1857, 269, 634, 3377, 3906, 1151, 545, 1243, 5955, 593, 602, 1907, 689, 4395, 11060, 4600, 267, 19174, 543, 1004, 7680, 26683, 269, 2368, 6659, 1843, 687, 547, 875, 519, 2055, 941, 2236, 1078, 269, 11524, 11329, 856, 31716, 538, 519, 18176, 269, 1656, 1082, 811, 22309, 519, 1259, 621, 729, 13950, 267, 11021, 602, 519, 1184, 3294, 2443, 538, 799, 23078, 616, 4280, 1360, 2123, 2055, 676, 513, 24928, 2443, 1522, 1118, 621, 12691, 602, 2907, 1673, 626, 5962, 1004, 1131, 2626, 8308, 563, 1103, 938, 11042, 267, 621, 2968, 2312, 602, 519, 5619, 14543, 547, 2697, 1082, 540, 519, 16426, 621, 729, 5497, 547, 6952, 269, 1656, 1018, 729, 9277, 547, 581, 606, 6662, 1907, 12798, 909, 267, 607, 513, 1267, 540, 875, 621, 779, 2854, 543, 13950, 267, 1818, 621, 9875, 585, 1978, 5095, 2443, 11082, 267, 1762, 1004, 543, 19574, 1004, 267, 1851, 1866, 2443, 547, 1205, 16280, 267, 4966, 543, 15156, 5143, 721, 563, 2690, 16026, 267, 602, 5921, 930, 540, 519, 23434, 1352, 729, 7680, 941, 15763, 269, 1280, 3236, 267, 972, 729, 1100, 2243, 538, 519, 5619, 602, 1131, 2285, 1200, 2798, 585, 519, 9271, 1352, 1185, 1175, 11124, 269, 674, 9430, 547, 20618, 585, 8027, 8507, 538, 4374, 540, 2566, 543, 16132, 1247, 1352, 16626, 689, 519, 8194, 540, 9561, 1200, 1453, 269, 16828, 267, 609, 519, 6351, 540, 2013, 4600, 693, 1896, 3906, 267, 1352, 1336, 513, 1747, 538, 513, 27139, 8027, 1982, 585, 6107, 269, 1809, 1373, 5143, 267, 1282, 519, 9803, 4090, 540, 1200, 1272, 267, 602, 1352, 1705, 711, 20618, 585, 8628, 8027, 2451, 922, 1665, 269, 968, 2005, 1500, 803, 1745, 23380, 538, 1250, 1378, 1995, 2223, 1352, 1767, 563, 1103, 3210, 547, 891, 31886, 267, 26683, 8257, 22557, 17367, 667, 10154, 7557, 1075, 320, 8566, 516, 2041, 1767, 538, 606, 4757, 267, 968, 296, 1616, 547, 1118, 621, 2312, 602, 4896, 945, 2501, 547, 938, 8257, 585, 948, 1058, 10691, 2048, 2041, 2451, 856, 10200, 892, 1280, 1346, 16363, 538, 601, 580, 1043, 585, 8027, 267, 646, 1767, 519, 2749, 3091, 824, 2533, 282, 891, 949, 1331, 12062, 1747, 906, 267, 882, 6327, 948, 543, 23934, 6351, 269, 769, 2489, 267, 519, 8257, 1185, 711, 15527, 547, 13668, 585, 8292, 827, 1367, 2665, 538, 519, 2250, 267, 543, 621, 4769, 1406, 6085, 593, 16026, 685, 1995, 563, 10870, 867, 3990, 7127, 729, 1101, 8045, 538, 476, 1001, 279, 267, 1310, 519, 4972, 540, 24184, 543, 12124, 4886, 3459, 8506, 4525, 602, 4019, 585, 5313, 26683, 7482, 547, 1711, 513, 1907, 968, 1729, 2327, 602, 1004, 945, 991, 6351, 519, 1034, 666, 4309, 621, 538, 513, 12905, 6073, 1848, 13518, 540, 519, 1964, 540, 519, 2197, 7550, 513, 1907, 1572, 519, 23977, 1676, 1464, 12039, 267, 6796, 26875, 1436, 17423, 26859, 15484, 269, 5842, 12770, 2919, 922, 1378, 1305, 540, 2055, 267, 5497, 547, 3313, 799, 21379, 748, 539, 1004, 616, 538, 6574, 991, 540, 513, 1753, 563, 1103, 519, 2185, 1296, 2094, 519, 10421, 729, 8045, 267, 930, 4872, 543, 17521, 723, 12649, 741, 20291, 7127, 1949, 543, 20114, 3466, 971, 607, 1713, 7292, 610, 4008, 12886, 269, 589, 476, 1001, 280, 2079, 540, 1239, 689, 14822, 267, 9098, 267, 543, 6115, 1336, 602, 1256, 1498, 1004, 540, 2681, 941, 936, 21323, 538, 519, 15602, 2551, 267, 789, 22157, 547, 6060, 3648, 2539, 982, 741, 3043, 13413, 267, 1818, 621, 9875, 585, 873, 547, 1569, 8628, 11215, 8027, 269, 634, 1353, 5227, 602, 670, 11070, 2015, 2847, 2358, 922, 20291, 7127, 4808, 547, 2327, 602, 2950, 968, 3225, 19935, 21138, 2200, 543, 2533, 1848, 901, 1032, 267, 5842, 12770, 3323, 922, 1378, 2079, 540, 922, 20291, 7127, 1184, 267, 543, 621, 26770, 547, 1459, 519, 4681, 1354, 519, 1439, 540, 519, 1032, 563, 301, 22022, 1169, 4274, 649, 26906, 6700, 602, 519, 2833, 540, 1004, 540, 2681, 949, 711, 581, 4628, 10630, 538, 741, 4267, 547, 519, 20291, 7127, 2055, 269, 5842, 12770, 779, 1378, 1239, 2982, 4563, 267, 3043, 267, 7489, 543, 7087, 1004, 1373, 9516, 585, 8027, 693, 10199, 3160, 3928 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3442, 519, 5885, 2533, 602, 616, 2556, 585, 519, 1870, 547, 1599, 267, 8939, 873, 689, 519, 1592, 269, 3973, 267, 1305, 519, 10862, 585, 519, 1870, 3028, 269, 901, 10862, 11887, 799, 13685, 786, 1764, 621, 267, 543, 799, 786, 4159, 593, 519, 1870, 3028, 4567, 21686, 4580, 269, 0, 14106, 6002, 723, 15600, 713, 2022, 476, 736, 2053, 563, 21995, 17374, 8254, 5468, 912, 763, 32588, 8254, 6216, 568, 1134, 8153, 585, 6721, 1164, 7779, 12514, 602, 8597, 547, 1312, 23153, 543, 3318, 21706, 269, 1452, 12514, 2709, 513, 2647, 2039, 540, 5468, 543, 2934, 602, 1450, 3755, 547, 7001, 10875, 11147, 563, 20058, 267, 1577, 779, 1376, 609, 519, 4598, 7154, 5468, 269, 32588, 12514, 3335, 2709, 1614, 1292, 4598, 12331, 281, 5358, 630, 303, 1070, 589, 13630, 675, 13405, 640, 630, 13510, 1070, 543, 1744, 13616, 13405, 640, 630, 307, 341, 1040, 5358, 7154, 2636, 519, 8254, 547, 1305, 1312, 519, 27934, 543, 9505, 614, 3432, 267, 3246, 513, 10375, 4781, 585, 14987, 269, 589, 13630, 675, 13405, 640, 7154, 2636, 3755, 547, 1852, 519, 27934, 1247, 519, 8254, 4188, 338, 519, 9505, 614, 3432, 9935, 269, 1744, 13616, 13405, 640, 7154, 267, 593, 519, 824, 1688, 267, 6087, 3755, 547, 1305, 519, 5551, 9505, 614, 3432, 1247, 519, 8254, 4188, 338, 519, 27934, 563, 9202, 267, 649, 723, 519, 18869, 4259, 267, 799, 11887, 519, 8254, 779, 8417, 547, 1769, 269, 32588, 12514, 1419, 2709, 513, 2647, 2039, 540, 18869, 3681, 267, 689, 1970, 2418, 899, 476, 1911, 585, 6505, 2175, 547, 2362, 2418, 899, 476, 17168, 271, 585, 1970, 2000, 697, 3871, 269, 898, 779, 1898, 547, 3442, 519, 3617, 18869, 1871, 1759, 593, 519, 8654, 2175, 547, 2057, 6846, 610, 10286, 1465, 538, 519, 3803, 3239, 563, 5194, 4105, 4259, 568, 519, 3043, 3666, 630, 310, 289, 264, 4259, 269, 901, 4259, 5849, 602, 519, 4778, 538, 707, 8523, 2408, 8308, 269, 32588, 12514, 1683, 1114, 3043, 3666, 1095, 1115, 971, 607, 16790, 267, 4303, 2775, 267, 1744, 1228, 267, 13192, 344, 267, 570, 32500, 267, 12071, 2803, 1417, 267, 543, 18044, 269, 19805, 519, 2953, 3043, 3666, 4259, 786, 948, 596, 7001, 3076, 601, 833, 543, 2067, 23302, 6337, 563, 763, 1558, 1359, 7154, 568, 1776, 1271, 4259, 593, 32588, 12514, 269, 898, 11887, 875, 519, 8254, 3800, 543, 27786, 519, 1769, 538, 513, 6429, 269, 634, 1034, 1455, 1558, 1359, 12331, 616, 10159, 340, 894, 267, 4741, 27954, 539, 19105, 267, 543, 20128, 1558, 1359, 269, 10159, 340, 894, 1558, 1359, 568, 519, 9949, 7154, 267, 6236, 519, 2898, 7406, 585, 4598, 9273, 269, 4741, 27954, 539, 19105, 1558, 1359, 3922, 3278, 519, 3844, 6712, 540, 519, 7406, 1247, 20128, 1558, 1359, 6212, 593, 513, 1507, 5544, 543, 2488, 5730, 4598, 563, 4692, 517, 12514, 849, 2709, 1585, 1313, 1993, 1371, 630, 28425, 264, 5468, 269, 1452, 5468, 3313, 875, 519, 8254, 6212, 593, 513, 1641, 269, 2290, 4122, 1031, 4259, 568, 2290, 4149, 14653, 19200, 267, 799, 25437, 1445, 593, 513, 19335, 1641, 950, 519, 9505, 614, 7735, 568, 20158, 28870, 269, 6271, 4259, 267, 3642, 4419, 334, 19200, 267, 11179, 13475, 3001, 5396, 547, 2226, 1445, 269, 3642, 10312, 19200, 267, 519, 3791, 4781, 267, 8850, 17176, 1063, 2290, 4149, 14653, 543, 3642, 4419, 334, 1759, 593, 519, 1641, 779, 3350, 563, 2690, 13830, 3728, 2173, 8221, 5396, 610, 16171, 5163, 267, 519, 9505, 614, 3432, 4259, 568, 2629, 269, 32588, 12514, 1450, 3755, 547, 4188, 519, 9505, 614, 3432, 547, 1852, 519, 2179, 540, 1769, 10024, 519, 8254, 607, 1134, 607, 519, 4110, 540, 5163, 20747, 538, 513, 8523, 269, 16258, 9505, 614, 11250, 630, 324, 3052, 1421, 476, 272, 270, 1911, 271, 338, 610, 2362, 264, 19068, 2962, 267, 1247, 3500, 9505, 614, 11250, 630, 324, 3052, 1421, 476, 272, 270, 1789, 338, 610, 14887, 264, 666, 1711, 18532, 5163, 20747, 563, 2414, 1852, 519, 3178, 540, 2361, 267, 21706, 666, 4188, 519, 27934, 4259, 269, 589, 9962, 27934, 630, 20791, 518, 535, 14672, 3784, 264, 2164, 538, 513, 13719, 3178, 540, 2361, 267, 1141, 519, 1641, 568, 538, 1445, 1247, 519, 4282, 568, 23324, 269, 2201, 519, 824, 1688, 267, 513, 7522, 518, 27934, 630, 331, 24147, 535, 14672, 3784, 264, 4679, 519, 3178, 540, 2361, 267, 5329, 1312, 519, 1641, 543, 519, 4282, 538, 1445, 563, 4692, 517, 12514, 849, 2709, 1585, 15246, 12331, 267, 1519, 9509, 16790, 267, 5800, 11681, 267, 23721, 267, 11846, 267, 543, 13957, 12331, 269, 1452, 12331, 11126, 8254, 5468, 585, 1808, 15246, 7653, 543, 666, 581, 3730, 950, 4358, 856, 610, 538, 3871, 1141, 2656, 11941, 616, 2838, 563, 763, 4598, 13180, 4259, 2636, 3755, 547, 4188, 519, 4598, 547, 1118, 606, 3239, 17321, 610, 18632, 269, 901, 4259, 568, 3226, 5363, 950, 519, 8254, 779, 1558, 1359, 1062, 568, 711, 8308, 13830, 519, 5551, 4598, 269, 898, 666, 581, 14661, 538, 8454, 540, 13515, 267, 3335, 8151, 689, 910, 274, 547, 1341, 274, 13515, 563, 15563, 267, 32588, 12514, 1683, 1896, 3239, 2298, 5468, 267, 971, 607, 31179, 9680, 543, 17241, 310, 269, 31179, 9680, 568, 513, 19316, 3758, 3898, 602, 568, 4443, 547, 6023, 543, 5078, 585, 4948, 10344, 269, 17241, 310, 267, 593, 519, 824, 1688, 267, 19306, 782, 519, 1239, 689, 519, 8254, 779, 9300, 267, 3850, 585, 811, 3573, 2022, 3491, 22422, 11941, 543, 1732, 3239, 2298, 563, 1103, 3932, 267, 13215, 519, 2596, 32588, 8254, 5468, 568, 1898, 585, 21706, 3168, 547, 3986, 741, 1983, 543, 7001, 18198, 2592, 269, 3245, 4598, 12331, 543, 18869, 547, 3043, 3666, 543, 1313, 1993, 1371, 267, 1142, 4259, 4249, 513, 4105, 1909, 538, 2870, 10875, 11147, 269, 4197, 543, 19234, 609, 891, 5468, 786, 1450, 21706, 547, 25793, 1662, 741, 3860, 1761, 543, 7001, 5963, 7415, 8090, 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 ]

[ 23353, 7626, 568, 12699, 538, 2011, 1063, 476, 4335, 9180, 543, 476, 10384, 9180, 547, 4894, 930, 20962, 584, 543, 3819, 519, 7626, 267, 799, 568, 1869, 513, 4396, 1572, 18287, 710, 563, 3519, 1417, 1674, 540, 20957, 281, 634, 7626, 568, 16760, 883, 513, 5386, 8869, 543, 513, 20022, 568, 2813, 538, 1216, 269, 1677, 713, 616, 3773, 267, 11814, 832, 543, 31530, 628, 853, 8494, 9088, 269, 11814, 832, 630, 18090, 11041, 267, 9761, 7408, 3092, 264, 2333, 519, 1875, 2914, 9116, 1464, 540, 519, 4496, 851, 540, 519, 7626, 543, 1450, 621, 547, 1106, 8389, 628, 543, 31530, 628, 853, 8494, 9088, 630, 322, 637, 11169, 267, 606, 559, 710, 3092, 264, 2844, 519, 8389, 628, 563, 15648, 9736, 476, 1708, 273, 910, 2353, 7126, 27616, 0, 13233, 9839, 13600, 543, 853, 27223, 779, 4303, 454, 21938, 476, 1691, 628, 568, 513, 1554, 649, 782, 12314, 609, 2592, 540, 12271, 269, 594, 723, 1419, 9289, 827, 519, 8129, 540, 853, 269, 27223, 779, 4303, 563, 763, 14564, 9976, 513, 21649, 538, 7507, 538, 4571, 6363, 20623, 5324, 1572, 700, 10967, 5632, 807, 910, 621, 729, 513, 678, 924, 14120, 22729, 543, 1072, 543, 1185, 1152, 13581, 4276, 547, 12680, 630, 553, 851, 540, 1072, 264, 543, 9039, 547, 2648, 269, 898, 8209, 2968, 4448, 609, 519, 4947, 540, 11354, 543, 609, 12680, 32537, 4352, 519, 10828, 602, 2367, 543, 2021, 16668, 4408, 689, 513, 20220, 899, 513, 13169, 267, 547, 1118, 15185, 267, 543, 602, 2413, 27223, 779, 6486, 12090, 689, 713, 2688, 267, 3085, 1406, 3100, 547, 723, 1022, 4493, 538, 1249, 269, 1717, 267, 519, 2259, 540, 2367, 5373, 519, 4408, 540, 6690, 693, 4351, 547, 7008, 609, 873, 1705, 22132, 538, 519, 5664, 12698, 543, 729, 10692, 1996, 676, 20577, 15151, 945, 267, 1472, 476, 8182, 271, 267, 8719, 621, 609, 513, 3909, 2688, 540, 6690, 5373, 519, 4408, 540, 19980, 956, 689, 513, 524, 21488, 593, 519, 26749, 910, 1454, 811, 11807, 2336, 26123, 2959, 7866, 602, 972, 941, 1896, 853, 269, 4406, 550, 1149, 945, 5747, 593, 4924, 269, 476, 1691, 269, 5565, 540, 873, 941, 13401, 1282, 519, 12081, 540, 4936, 14890, 19863, 3780, 20096, 639, 538, 476, 29483, 268, 17734, 589, 6185, 1421, 693, 513, 942, 950, 20655, 540, 10271, 729, 1455, 563, 5194, 2442, 19744, 10828, 568, 602, 12142, 27223, 5340, 804, 663, 32347, 4168, 12311, 26204, 585, 7980, 945, 941, 24193, 547, 19533, 269, 634, 4936, 14890, 19863, 3780, 4083, 27581, 17246, 1228, 713, 18468, 602, 9310, 2367, 1705, 711, 1118, 585, 1434, 7980, 563, 763, 1554, 2968, 2404, 609, 11509, 2648, 538, 519, 476, 1691, 628, 543, 476, 1428, 628, 5553, 950, 18765, 540, 5480, 569, 2648, 25577, 838, 13899, 593, 676, 519, 2048, 331, 913, 18346, 685, 540, 2038, 5614, 269, 1809, 1394, 547, 519, 1459, 563, 21938, 568, 2817, 9839, 13600, 269, 898, 568, 2966, 547, 1118, 721, 782, 3222, 540, 2295, 2068, 543, 547, 5000, 721, 547, 1413, 938, 12271, 269, 898, 3746, 2478, 875, 649, 666, 2569, 938, 1981, 540, 3384, 2295, 2068, 5988, 998, 2834, 3635, 267, 513, 7059, 2732, 267, 5464, 1973, 2604, 543, 4509, 513, 2635, 2597, 563, 19865, 568, 1634, 547, 581, 513, 1259, 540, 4227, 519, 1981, 540, 3384, 2295, 2068, 267, 543, 2921, 3635, 1282, 519, 6855, 666, 581, 513, 4161, 269, 1809, 621, 568, 513, 4161, 602, 621, 568, 1271, 547, 13720, 269, 1284, 5892, 11540, 606, 2376, 827, 835, 540, 938, 9164, 945, 568, 513, 11727, 29735, 29303, 14357, 543, 568, 4543, 1004, 538, 1200, 2146, 547, 1205, 3514, 614, 563, 763, 3703, 9839, 7690, 630, 289, 295, 293, 264, 568, 3257, 513, 2518, 1353, 593, 25161, 6197, 799, 896, 32392, 786, 581, 5329, 606, 3750, 593, 538, 519, 2104, 563, 2171, 917, 602, 3635, 568, 1883, 547, 1072, 15508, 543, 9308, 855, 6148, 713, 1223, 723, 606, 1764, 607, 513, 1981, 1110, 8595, 585, 1272, 22059, 23078, 609, 840, 25365, 2295, 2042, 269, 20767, 23358, 6197, 568, 513, 28125, 1282, 519, 27579, 269, 589, 1867, 593, 519, 1353, 2306, 4277, 2542, 563, 763, 1249, 602, 972, 568, 865, 1454, 2923, 3007, 2016, 547, 519, 1072, 540, 938, 12271, 568, 513, 8499, 1434, 543, 2318, 3364, 269, 1703, 568, 1447, 1434, 3377, 267, 2705, 267, 7282, 519, 17799, 547, 2126, 543, 4238, 269, 634, 645, 295, 293, 6257, 519, 5767, 5515, 2048, 19651, 519, 20381, 1764, 540, 519, 6855, 593, 5732, 1272, 9494, 6391, 543, 824, 5773, 585, 2295, 2550, 2507, 19925, 513, 3791, 7864, 2295, 4238, 982, 4397, 941, 5340, 676, 519, 1439, 540, 5437, 476, 1708, 271, 19028, 2791, 666, 1294, 519, 2898, 1867, 1934, 563, 1692, 568, 713, 2469, 547, 1764, 593, 896, 8586, 3664, 540, 23078, 945, 723, 1185, 23361, 16607, 286, 2334, 568, 1945, 602, 568, 2352, 547, 15378, 693, 1459, 563, 3719, 5988, 476, 1691, 628, 568, 513, 4272, 2218, 1554, 543, 865, 621, 568, 1434, 547, 581, 2111, 547, 9206, 909, 930, 2731, 2318, 3377, 269, 769, 476, 1708, 271, 3025, 538, 4789, 2968, 1761, 1418, 22881, 8259, 789, 1904, 856, 540, 519, 10325, 269, 1411, 666, 1224, 827, 2048, 16655, 543, 3223, 4275, 779, 4521, 685, 593, 519, 645, 295, 293, 3896, 563, 2080, 693, 17240, 572, 267, 649, 723, 20926, 543, 3177, 3382, 585, 13003, 2550, 267, 1519, 2295, 1098, 17852, 585, 930, 942, 269, 6270, 3382, 568, 7199, 855, 621, 666, 581, 2944, 543, 4867, 17240, 572, 2882, 13044, 476, 866, 538, 782, 519, 5020, 2667, 4269, 10466, 621, 2488, 563, 4913, 267, 649, 3112, 1683, 5020, 2667, 4269, 538, 782, 6381, 267, 2705, 6452, 1211, 531, 12280, 3382, 666, 1683, 930, 4027, 15029, 596, 979, 998, 519, 1272, 896, 8586, 1184, 563, 2414, 1265, 856, 952, 3382, 949, 581, 2139, 5225, 3346, 721, 593, 912, 16942, 11333, 2593, 610, 1289, 519, 2319, 593, 476, 23713, 3199, 476, 279, 6078, 25396, 269, 0, 18658, 1131, 519, 5836, 2161, 9495, 2334, 568, 519, 2243, 1373, 4280, 676, 513, 2110, 4670, 3812, 676, 2817, 22127, 267, 543, 1936, 730, 676, 2817, 22127, 25817, 2987, 268, 4910, 2064, 6276, 23759, 517, 543, 15050, 2103, 540, 519, 30982, 957, 816, 2098, 4141, 6428, 323, 3570, 563, 763, 4670, 729, 4843, 676, 23759, 517, 543, 555, 2997, 1807, 19137, 7690, 269, 634, 2110, 17157, 1185, 922, 26813, 693, 519, 2136, 8315, 538, 519, 8065, 540, 519, 4937, 13909, 547, 8661, 2622, 744, 10895, 4303, 593, 4873, 476, 279, 628, 607, 851, 540, 5752, 585, 519, 1101, 268, 1197, 2136, 8315, 744, 10895, 10985, 563, 763, 1614, 18826, 1279, 3381, 3091, 513, 2596, 7650, 540, 2042, 6849, 519, 1158, 779, 12084, 267, 1519, 2518, 8337, 267, 5068, 5533, 267, 936, 325, 5109, 267, 5836, 3679, 2305, 267, 543, 811, 269, 769, 1840, 267, 519, 4670, 12857, 513, 1007, 5108, 540, 15628, 2324, 593, 519, 4395, 3515, 547, 2149, 543, 8190, 3618, 779, 1034, 2565, 4199, 563, 16729, 968, 1432, 14348, 519, 7909, 17166, 892, 8072, 338, 26813, 693, 519, 6167, 267, 513, 2034, 10126, 1572, 968, 15411, 681, 10976, 14114, 5155, 25817, 543, 634, 22375, 5741, 892, 513, 1600, 269, 634, 10126, 12286, 5216, 1762, 3401, 5059, 593, 5836, 2762, 267, 2069, 267, 543, 5726, 269, 898, 568, 2404, 609, 2817, 22127, 267, 634, 25817, 779, 11833, 267, 7046, 681, 10976, 267, 7046, 25817, 267, 543, 519, 22375, 5741, 269, 901, 3381, 17157, 5059, 593, 519, 3948, 968, 2252, 711, 803, 267, 1287, 945, 286, 1403, 711, 1631, 267, 1287, 950, 286, 898, 6238, 1934, 269, 898, 6238, 1631, 1848, 267, 799, 729, 5812, 609, 519, 6249, 540, 519, 6167, 7909, 10985, 563, 763, 10126, 12286, 5216, 1762, 3401, 5059, 593, 5836, 2762, 267, 2069, 267, 543, 5726, 269, 898, 568, 2404, 609, 2817, 22127, 282, 519, 10812, 3464, 11833, 267, 7046, 681, 10976, 267, 15411, 25817, 267, 543, 519, 22375, 5741, 269, 898, 729, 10324, 3812, 676, 6276, 23759, 517, 543, 12756, 30247, 267, 543, 729, 1500, 2009, 676, 5698, 689, 20334, 1519, 12844, 7313, 28970, 8605, 687, 543, 12359, 10496, 13196, 540, 4728, 540, 519, 623, 27279, 267, 1851, 1866, 563, 763, 1739, 5238, 849, 6462, 519, 2504, 269, 2598, 928, 2106, 1155, 281, 28418, 670, 1961, 7909, 4919, 26323, 282, 634, 10812, 3464, 11833, 282, 7046, 4629, 309, 14114, 5155, 25817, 282, 634, 22375, 5741, 269, 0, 25897, 29362, 1948, 476, 274, 4281, 267, 476, 275, 5147, 476, 1708, 271, 454, 4002, 476, 3066, 4873, 267, 16287, 3670, 3275, 2094, 519, 1101, 5359, 540, 519, 6855, 267, 519, 10615, 29731, 540, 14959, 538, 513, 2923, 5618, 9307, 602, 519, 2518, 7972, 1813, 547, 519, 6855, 723, 18084, 3368, 513, 2929, 630, 4335, 267, 1822, 1040, 2060, 519, 2698, 1297, 540, 2665, 693, 476, 1556, 267, 4489, 267, 279, 1015, 267, 519, 1699, 13680, 1399, 2066, 519, 1158, 6763, 693, 476, 276, 267, 3066, 267, 14096, 267, 799, 568, 5216, 829, 1298, 540, 519, 2698, 1297, 540, 2665, 269, 27051, 476, 277, 267, 20065, 267, 279, 1626, 616, 4080, 547, 723, 1044, 26809, 610, 16626, 563, 10907, 1484, 519, 1114, 4525, 267, 3345, 3013, 814, 519, 5207, 1297, 540, 2665, 267, 4553, 676, 2342, 267, 5607, 267, 3162, 3013, 267, 4000, 267, 543, 7909, 807, 269, 2342, 5012, 519, 7194, 593, 25096, 2059, 609, 3345, 3013, 267, 543, 3162, 3013, 269, 1452, 2477, 723, 15217, 4080, 936, 476, 272, 267, 876, 267, 1822, 7972, 563, 1432, 568, 519, 4282, 888, 1103, 3670, 3275, 267, 519, 1764, 540, 519, 11452, 607, 513, 6855, 729, 5433, 538, 3592, 782, 2694, 540, 519, 1158, 543, 568, 11173, 547, 11200, 1996, 519, 1739, 4282, 912, 5575, 267, 519, 11615, 2253, 547, 1930, 5103, 606, 2333, 538, 2665, 269, 634, 7330, 267, 6576, 267, 8478, 267, 543, 3127, 616, 519, 1283, 2185, 2477, 609, 519, 5021, 1297, 540, 2665, 267, 543, 2943, 891, 2477, 723, 849, 13175, 547, 8897, 519, 27579, 3800, 610, 2760, 2731, 4553, 513, 27579, 269, 17553, 513, 5906, 7678, 538, 6679, 909, 741, 2804, 32387, 1510, 24609, 532, 519, 7455, 267, 891, 2477, 723, 8329, 547, 519, 8375, 2518, 1297, 540, 2665, 563, 13553, 267, 519, 2789, 6329, 543, 519, 3735, 6329, 269, 634, 1764, 540, 519, 6855, 814, 9867, 538, 1114, 2694, 540, 519, 8608, 19962, 547, 519, 1114, 8515, 540, 519, 3644, 269, 1677, 513, 1804, 6708, 267, 519, 3148, 540, 5607, 543, 4000, 267, 609, 513, 2362, 2551, 543, 1970, 2564, 6791, 267, 723, 9846, 4080, 14758, 2665, 540, 3644, 3379, 547, 2342, 610, 3013, 269, 2368, 4525, 616, 1869, 10010, 547, 2270, 519, 3262, 689, 519, 1101, 5951, 269, 2755, 2477, 899, 3624, 543, 3162, 9705, 723, 4080, 4191, 540, 513, 2034, 5951, 269, 1656, 1287, 267, 1310, 606, 3355, 561, 1638, 267, 972, 568, 513, 3735, 5951, 538, 5824, 3013, 1282, 519, 2487, 4374, 563, 8310, 267, 519, 5821, 547, 5352, 513, 2518, 270, 2958, 1308, 9316, 12512, 269, 9282, 519, 1412, 29514, 1242, 1158, 262, 3366, 547, 519, 3262, 540, 519, 6855, 267, 519, 1949, 602, 616, 11347, 540, 14051, 723, 711, 7307, 547, 3142, 7104, 6127, 547, 4339, 519, 3644, 269, 18831, 15527, 547, 519, 5046, 268, 866, 693, 1367, 19206, 269, 18766, 689, 519, 2518, 1289, 585, 519, 3406, 585, 519, 6669, 267, 519, 1804, 7934, 538, 519, 1967, 543, 14286, 540, 6855, 2359, 814, 849, 12936, 519, 2518, 2333, 538, 519, 2665, 563, 1432, 1281, 621, 1611, 888, 5575, 267, 998, 519, 1101, 3368, 540, 476, 1708, 271, 267, 519, 6855, 814, 4547, 547, 1769, 519, 5571, 14286, 540, 519, 4540, 1949, 543, 519, 29927, 602, 723, 1044, 3056, 519, 3262, 540, 519, 3644, 693, 606, 20437, 2557, 269, 2201, 476, 274, 5147, 4805, 267, 519, 1158, 4080, 476, 273, 267, 6021, 267, 271, 2764, 2665, 269, 901, 6920, 2394, 513, 2518, 4640, 547, 8396, 519, 6855, 15217, 610, 519, 4540, 11528, 13337, 3515, 616, 20460, 1243, 267, 519, 8375, 2338, 786, 581, 2352, 547, 10654, 563, 13553, 267, 2789, 22475, 2066, 519, 8608, 723, 9307, 547, 581, 2324, 593, 519, 1646, 540, 513, 6669, 267, 1082, 538, 519, 3791, 3942, 540, 4152, 269, 1452, 1397, 602, 519, 1739, 4374, 786, 581, 2629, 585, 519, 3262, 267, 519, 32134, 540, 2665, 267, 543, 519, 6669, 1646, 269, 0, 309, 6327, 543, 17030, 540, 519, 5487, 640, 538, 519, 5783, 543, 538, 519, 2622, 454, 8005, 616, 519, 834, 17442 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1294, 952, 596, 616, 6325, 950, 621, 2501, 547, 9878, 707, 12014, 563, 22129, 856, 3156, 454, 28274, 585, 1932, 1082, 1919, 593, 5491, 693, 693, 2899, 666, 2965, 3441, 707, 6060, 563, 22129, 856, 1022, 540, 891, 3156, 547, 1397, 713, 1397, 32225, 602, 596, 616, 1373, 3743, 609, 707, 18083, 547, 1761, 32225, 563, 2690, 2417, 1489, 610, 5796, 593, 707, 18083, 3346, 519, 14559, 31876, 12243, 267, 789, 2709, 6749, 2987, 7886, 267, 476, 272, 3562, 268, 272, 1489, 543, 5049, 593, 5883, 707, 18083, 563, 2791, 666, 849, 1265, 856, 827, 519, 28774, 267, 948, 267, 5796, 543, 1489, 593, 2709, 689, 700, 297, 300, 308, 543, 808, 5960, 308, 593, 938, 8779, 540, 12389, 13398, 269, 0, 763, 1764, 540, 707, 18492, 4783, 593, 5959, 1072, 20809, 476, 736, 267, 476, 1708, 271, 476, 274, 281, 5325, 10681, 454, 2026, 952, 621, 14201, 1406, 4101, 2614, 7231, 609, 9449, 23638, 1472, 707, 18492, 4783, 1107, 1631, 1373, 4775, 3893, 513, 3787, 811, 7294, 256, 634, 1249, 568, 267, 519, 9449, 1377, 2242, 602, 4755, 1472, 707, 1974, 1810, 1406, 1175, 1860, 519, 1259, 596, 1745, 269, 1358, 666, 849, 1860, 707, 5711, 1072, 269, 1717, 1107, 2062, 8705, 2740, 568, 2062, 28534, 269, 898, 779, 1732, 547, 1174, 4010, 1018, 568, 2469, 593, 267, 538, 1931, 547, 948, 2057, 5959, 2042, 610, 547, 1205, 873, 5701, 607, 4166, 607, 2009, 269, 3367, 593, 585, 811, 827, 707, 18492, 4783, 543, 1018, 621, 1797, 585, 519, 2783, 540, 707, 4522, 543, 14779, 563, 1432, 1764, 666, 10399, 723, 888, 295, 768, 2158, 1860, 519, 3761, 540, 1973, 547, 707, 14779, 267, 543, 519, 1259, 707, 1560, 2941, 525, 609, 519, 1628, 5346, 540, 15799, 593, 707, 4522, 1107, 3361, 676, 4948, 4551, 543, 1426, 1033, 761, 639, 538, 707, 5023, 269, 1924, 267, 1022, 2242, 538, 9449, 2157, 666, 2731, 1860, 707, 5711, 1072, 269, 1280, 1383, 267, 2157, 540, 519, 9449, 1322, 6856, 821, 6923, 1205, 2362, 1175, 1354, 707, 1974, 269, 901, 666, 454, 322, 1021, 25017, 543, 11926, 540, 707, 14779, 269, 1411, 666, 849, 1205, 666, 12027, 21399, 630, 810, 637, 3330, 540, 707, 5023, 264, 1282, 707, 1974, 267, 11702, 14779, 267, 543, 22224, 2892, 643, 776, 15374, 269, 9453, 519, 1697, 5959, 9882, 267, 2042, 666, 1831, 8338, 543, 1291, 547, 8628, 3441, 563, 289, 9500, 1852, 2242, 9449, 2157, 676, 31567, 9870, 519, 2157, 540, 21110, 543, 1322, 6856, 821, 269, 1452, 666, 1312, 1118, 14779, 22224, 543, 15319, 1317, 789, 2746, 811, 9244, 547, 15799, 4646, 593, 4522, 269, 14171, 930, 3029, 540, 4332, 1852, 849, 814, 6286, 585, 5959, 6391, 267, 607, 789, 666, 1118, 519, 4960, 540, 2048, 323, 787, 23094, 685, 811, 2693, 26063, 269, 901, 568, 513, 2783, 1141, 513, 1973, 8052, 267, 799, 3029, 6923, 543, 2337, 707, 5023, 12115, 267, 2901, 8813, 856, 610, 14543, 547, 1020, 693, 782, 269, 901, 666, 581, 11213, 543, 568, 9090, 1655, 14284, 256, 1924, 267, 1577, 707, 11290, 917, 952, 596, 616, 593, 1022, 1106, 540, 4332, 1852, 563, 303, 27389, 3599, 568, 1776, 942, 950, 4657, 10399, 723, 513, 2462, 1764, 593, 4522, 543, 14779, 269, 634, 1981, 540, 10733, 2068, 543, 267, 538, 1880, 267, 4049, 10733, 2068, 1634, 607, 1974, 2632, 4345, 267, 3587, 3152, 269, 901, 568, 14356, 1813, 547, 2799, 1973, 2095, 3330, 14779, 1107, 799, 666, 1118, 873, 811, 2693, 547, 1831, 2699, 543, 8886, 730, 269, 769, 1840, 267, 6640, 19210, 666, 2014, 5694, 9178, 1317, 519, 19596, 568, 811, 6534, 547, 3679, 269, 4438, 6379, 267, 621, 568, 811, 1271, 982, 2479, 547, 3251, 538, 5905, 609, 707, 11290, 543, 1118, 2386, 596, 723, 513, 9488, 543, 2834, 5959, 6296, 563, 763, 22797, 1797, 602, 519, 1560, 7472, 1447, 540, 519, 9449, 21110, 269, 1306, 1134, 607, 4929, 2042, 971, 607, 513, 8781, 14815, 610, 1928, 538, 519, 5023, 267, 713, 1689, 538, 9449, 2157, 666, 849, 6175, 519, 2095, 540, 19975, 267, 4929, 513, 2783, 1572, 2048, 323, 787, 5023, 9957, 901, 1797, 519, 5023, 568, 1447, 2111, 547, 2973, 3294, 543, 547, 9243, 1047, 519, 3679, 3812, 676, 15799, 269, 901, 666, 1291, 547, 5694, 9178, 610, 10733, 2068, 269, 634, 1689, 538, 10399, 4547, 827, 1282, 519, 22797, 666, 849, 1860, 5642, 5860, 267, 543, 6318, 519, 1981, 540, 21404, 1107, 513, 2783, 1141, 519, 7633, 1831, 3648, 21260, 269, 901, 666, 1860, 707, 10265, 7633, 543, 707, 4522, 269, 4438, 713, 942, 596, 1058, 1413, 856, 585, 973, 5338, 14779, 267, 799, 666, 581, 513, 10835, 540, 16609, 5642, 2530, 563, 2026, 2479, 267, 8380, 513, 1434, 5959, 9882, 6296, 538, 1747, 568, 519, 1883, 547, 5329, 2042, 2476, 269, 5269, 2386, 596, 11453, 7466, 513, 1554, 585, 1079, 3764, 1142, 942, 267, 19568, 5781, 267, 543, 2057, 24494, 543, 9268, 3536, 602, 666, 2048, 12890, 685, 519, 3983, 4551, 538, 707, 5023, 269, 5272, 3670, 3275, 267, 3643, 707, 1655, 11290, 538, 29903, 693, 3220, 338, 269, 12832, 15614, 1299, 1306, 335, 4741, 267, 543, 1832, 873, 5483, 540, 1022, 2242, 538, 707, 1072, 1107, 1256, 952, 621, 1522, 711, 3100, 4143, 269, 634, 11290, 666, 948, 1832, 707, 5711, 1072, 538, 922, 1655, 1533, 2009, 563, 290, 1538, 528, 2213, 538, 281, 28687, 1538, 528, 1242, 454, 1607, 2022, 729, 2854, 676, 14721, 0, 295, 792, 1346, 20883, 286, 6258, 827, 17906, 9503, 8677, 454, 12441, 596, 917, 602, 20883, 543, 547, 6758, 3112, 2661, 538, 535, 537, 1194, 1216, 286, 1703, 616, 476, 1428, 2249, 540, 20883, 543, 547, 6758, 538, 519, 17906, 9503, 563, 1103, 1142, 2013, 267, 519, 9038, 5186, 517, 547, 4482, 519, 8951, 267, 855, 1142, 2249, 7125, 693, 513, 1114, 942, 540, 519, 1032, 543, 689, 1114, 6753, 269, 1411, 1419, 798, 711, 1294, 873, 1317, 789, 616, 31491, 3042, 547, 11100, 883, 741, 1216, 344, 4025, 267, 855, 596, 6157, 5873, 873, 563, 18794, 519, 29031, 1488, 321, 648, 339, 636, 5980, 3842, 28652, 593, 13628, 267, 2904, 476, 275, 267, 607, 18466, 548, 8805, 534, 529, 267, 2069, 4717, 13541, 693, 519, 2160, 540, 17906, 1488, 321, 648, 339, 636, 267, 543, 2067, 626, 15537, 22118, 645, 2297, 2285, 606, 7650, 540, 20883, 543, 547, 6758, 538, 5101, 17906, 563, 763, 1982, 6238, 693, 476, 278, 533, 6230, 269, 32310, 568, 2838, 547, 4309, 707, 28652, 3095, 543, 519, 10916, 269, 1849, 2216, 3061, 687, 616, 2139, 269, 19193, 693, 8940, 269, 583, 16808, 648, 339, 4548, 1539, 1214, 3820, 563, 2690, 1022, 2055, 610, 14261, 2152, 267, 4757, 18466, 548, 693, 18078, 17106, 11333, 3820, 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 ]

[ 27432, 12917, 345, 264, 24689, 548, 1422, 10339, 8987, 315, 23169, 1422, 10339, 7268, 15883, 347, 343, 347, 4297, 6911, 5976, 692, 7445, 6234, 315, 23169, 7807, 2765, 3189, 29166, 27432, 2410, 273, 4153, 6523, 13375, 7268, 2765, 3189, 15883, 19570, 2410, 273, 4153, 2431, 264, 285, 271, 269, 6911, 1607, 10522, 602, 692, 7445, 6234, 13375, 347, 325, 13375, 3287, 315, 10975, 1775, 21702, 3189, 7032, 2410, 273, 4153, 2431, 264, 326, 18155, 29166, 27432, 4153, 3847, 3287, 315, 10975, 1775, 21702, 3189, 7032, 2410, 273, 4153, 2431, 9385, 2431, 24689, 548, 476, 272, 6911, 1721, 782, 1269, 343, 1422, 514, 1422, 13992, 23334, 20954, 543, 602, 692, 7445, 6234, 347, 325, 18750, 264, 326, 18155, 29166, 27432, 12917, 345, 264, 24689, 548, 1422, 10339, 13375, 10490, 315, 10339, 7268, 10401, 347, 343, 347, 9984, 315, 23169, 315, 10339, 7268, 15883, 347, 343, 347, 9385, 2431, 22491, 1721, 782, 1269, 345, 1422, 514, 1422, 29604, 259, 563, 4131, 721, 1631, 8359, 1269, 305, 285, 271, 259, 1804, 2614, 865, 602, 1269, 305, 285, 1923, 345, 318, 271, 347, 259, 543, 692, 7445, 6234, 1422, 10339, 13375, 10490, 315, 10339, 7268, 10401, 681, 9984, 315, 23169, 315, 10339, 7268, 15883, 681, 9385, 2431, 9385, 548, 476, 272, 269, 6911, 22746, 606, 1269, 305, 259, 6818, 2094, 4399, 15883, 285, 315, 10401, 10608, 2986, 1576, 267, 621, 786, 4096, 593, 4399, 29166, 27432, 10608, 634, 22112, 13551, 4399, 29604, 3709, 305, 4151, 568, 3989, 607, 1657, 269, 634, 1599, 1269, 345, 1422, 14090, 560, 334, 535, 18750, 264, 326, 18155, 29166, 27432, 12917, 345, 7751, 568, 538, 4399, 24837, 346, 295, 32710, 29604, 3709, 305, 348, 9385, 5115, 315, 24837, 346, 290, 32710, 28235, 3189, 29604, 3709, 305, 3686, 7751, 543, 1269, 347, 325, 18750, 264, 326, 18155, 29166, 27432, 12917, 345, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 259, 538, 4399, 14783, 1422, 29604, 3709, 305, 20954, 519, 10465, 540, 4399, 29604, 3709, 305, 23201, 4340, 547, 519, 5021, 6240, 630, 31628, 332, 476, 272, 1070, 2094, 1269, 345, 318, 271, 22174, 1422, 29604, 3709, 305, 20954, 1269, 347, 325, 18750, 318, 271, 264, 326, 18155, 29166, 27432, 12917, 345, 318, 271, 264, 24689, 548, 476, 272, 10608, 901, 2063, 8635, 814, 1044, 9863, 585, 606, 17062, 4399, 29166, 27432, 8961, 543, 1269, 325, 18155, 29166, 27432, 12917, 345, 318, 271, 9385, 1729, 476, 272, 259, 950, 4399, 29166, 27432, 1422, 1729, 476, 271, 8961, 4061, 1269, 347, 325, 18750, 318, 271, 264, 24689, 548, 476, 272, 10608, 901, 2636, 721, 547, 9959, 602, 1269, 347, 325, 18750, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 1422, 514, 1422, 29604, 16859, 4131, 721, 1631, 8263, 602, 972, 6818, 1269, 345, 318, 271, 22174, 1422, 29604, 259, 971, 602, 1269, 347, 325, 18750, 318, 271, 31206, 284, 272, 10608, 2913, 721, 4584, 930, 1269, 305, 285, 271, 259, 971, 602, 1269, 305, 285, 347, 343, 318, 271, 347, 10608, 4635, 938, 3105, 10035, 649, 723, 1269, 345, 318, 271, 22174, 1422, 29604, 3709, 305, 20954, 543, 267, 2094, 1269, 347, 325, 18750, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 22174, 1422, 28235, 3189, 29604, 20954, 649, 723, 538, 1880, 1269, 347, 325, 18750, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 22174, 1422, 14783, 1422, 29604, 318, 305, 10608, 4340, 547, 519, 5021, 6240, 267, 713, 10522, 602, 1269, 325, 259, 568, 513, 3586, 593, 4399, 29604, 3709, 305, 23201, 4595, 4399, 29604, 3709, 305, 4151, 568, 606, 1930, 1305, 538, 4399, 29604, 8961, 519, 6240, 540, 25107, 27402, 6645, 721, 602, 1269, 325, 259, 568, 513, 3586, 593, 4399, 29604, 10608, 901, 20147, 519, 6169, 780, 4131, 721, 4063, 952, 4399, 10401, 315, 613, 476, 272, 8961, 519, 11532, 568, 7301, 267, 607, 3254, 676, 519, 4831, 7721, 2217, 540, 519, 1101, 3296, 269, 634, 1505, 568, 15069, 1360, 8465, 269, 2060, 2370, 1689, 538, 519, 6169, 267, 649, 666, 3489, 2164, 7231, 609, 513, 6389, 602, 568, 22112, 593, 835, 2427, 267, 610, 609, 513, 1599, 602, 25389, 519, 8635, 1152, 585, 930, 2418, 540, 519, 29870, 269, 1677, 581, 811, 8763, 267, 594, 786, 1533, 1079, 2164, 267, 855, 649, 666, 4952, 1454, 811, 269, 769, 519, 1739, 267, 649, 2015, 4399, 29604, 262, 8961, 519, 1930, 3368, 3613, 8692, 3989, 676, 692, 7445, 6234, 1422, 29604, 262, 7807, 346, 345, 22174, 1422, 13992, 346, 290, 4153, 267, 282, 20867, 271, 692, 3682, 6570, 476, 274, 692, 4131, 1269, 325, 259, 581, 513, 1599, 538, 4399, 24837, 346, 295, 32710, 29604, 262, 9385, 5115, 315, 24837, 346, 290, 32710, 28235, 3189, 29604, 262, 348, 7751, 971, 602, 454, 259, 347, 325, 18750, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 1422, 514, 1422, 14783, 1422, 29604, 262, 259, 2676, 663, 1577, 721, 8263, 602, 972, 2291, 1483, 21635, 1269, 288, 259, 543, 4399, 10401, 283, 272, 259, 971, 602, 692, 7445, 6234, 1923, 325, 18750, 264, 24689, 548, 1422, 10339, 10490, 315, 10339, 7268, 10401, 1535, 4297, 6911, 1721, 782, 1269, 345, 1422, 514, 1422, 29604, 262, 10608, 3973, 1269, 347, 325, 18750, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 1422, 514, 1422, 29604, 8961, 543, 267, 952, 972, 6818, 1269, 345, 318, 271, 22174, 1422, 29604, 262, 259, 971, 602, 1269, 347, 325, 18750, 318, 271, 31206, 284, 272, 8961, 1269, 325, 259, 568, 513, 3586, 780, 3682, 6570, 476, 275, 692, 4131, 1269, 325, 259, 581, 513, 1599, 538, 4399, 24837, 346, 295, 32710, 29604, 262, 9385, 5115, 315, 24837, 346, 290, 32710, 28235, 3189, 29604, 262, 348, 7751, 971, 602, 1269, 347, 325, 18750, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 1422, 514, 1422, 14783, 1422, 29604, 262, 8961, 543, 1577, 721, 8263, 602, 972, 2291, 1483, 21635, 1269, 288, 259, 543, 4399, 10401, 283, 272, 8961, 543, 513, 5311, 18159, 305, 5332, 7751, 540, 2318, 2338, 512, 2056, 547, 1269, 10954, 13727, 259, 971, 602, 267, 585, 782, 1269, 333, 1422, 514, 1422, 13992, 346, 301, 4151, 10484, 7445, 6234, 1923, 325, 18750, 264, 24689, 548, 1422, 10339, 10490, 315, 10339, 7268, 10401, 681, 5332, 4297, 6911, 1721, 782, 1269, 345, 1422, 514, 1422, 29604, 262, 259, 971, 602, 1269, 343, 284, 305, 5332, 10608, 3973, 1269, 347, 325, 18750, 264, 24689, 548, 476, 272, 259, 585, 782, 1269, 345, 1422, 514, 1422, 29604, 8961, 543, 267, 952, 972, 6818, 1269, 345, 318, 271, 22174, 1422, 29604, 262, 259, 971, 602, 1269, 347, 325, 18750, 318, 271, 31206, 284, 272, 8961, 1269, 325, 259, 568, 513, 3586, 269, 0, 296, 10972, 558, 1948, 4029, 1234, 15479, 633, 27353, 630, 13678, 921, 2020, 8620, 25276, 1599, 535, 799, 7024, 519, 27353, 540, 1875, 24308, 8870, 1775, 267, 7229, 689, 535, 9217, 268, 272, 2020, 319, 325, 9217, 264, 18092, 630, 328, 2652, 476, 271, 264, 7790, 476, 272, 2433, 1775, 2608, 535, 9217, 910, 476, 272, 5148, 319, 454, 319, 10818, 674, 630, 296, 2433, 7849, 264, 2132, 7849, 568, 630, 604, 594, 2999, 476, 273, 1287, 476, 272, 3116, 594, 2608, 674, 630, 296, 910, 476, 272, 4297, 32547, 454, 3499, 12584, 11220, 703, 535, 263, 12584, 11220, 703, 1775, 994, 19127, 8873, 1775, 286, 328, 265, 325, 9217, 268, 272, 2567, 272, 3248, 348, 8199, 3499, 12584, 11220, 703, 535, 263, 5667, 11220, 703, 1775, 3738, 13634, 604, 630, 1775, 2652, 476, 271, 3738, 2132, 476, 272, 16963, 8873, 1775, 2608, 535, 263, 1775, 910, 476, 272, 12467, 348, 8199, 3499, 340, 842, 27353, 263, 514, 579, 842, 562, 264, 6986, 711, 327, 992, 7711, 333, 690, 322, 454, 514, 13634, 16386, 3799, 10922, 476, 1321, 11850, 348, 1560, 13634, 604, 630, 333, 2652, 476, 271, 994, 8873, 476, 272, 3248, 12828, 454, 8873, 562, 2608, 27353, 3799, 910, 476, 272, 11850, 348, 8199, 3499, 3698, 7116, 2544, 5517, 3645, 798, 454, 3698, 540, 263, 271, 1070, 798, 281, 476, 272, 454, 3698, 540, 3799, 264, 950, 562, 3436, 476, 271, 798, 454, 333, 2608, 540, 3799, 268, 272, 994, 754, 454, 754, 8199, 3499, 325, 263, 271, 264, 9847, 476, 272, 3248, 325, 263, 296, 264, 9847, 594, 2608, 535, 263, 296, 910, 476, 272, 1040, 8199, 3499, 325, 15635, 535, 9217, 703, 264, 703, 13634, 604, 1775, 2652, 476, 271, 13634, 8873, 476, 272, 454, 8679, 8873, 1775, 2608, 535, 9217, 268, 272, 994, 348, 8199, 3499, 325, 1775, 815, 952, 1775, 3436, 476, 272, 1287, 535, 630, 328, 268, 272, 264, 2608, 1775, 3116, 476, 272, 454, 8199, 3499, 10818, 535, 3799, 264, 13634, 8873, 562, 283, 273, 7790, 476, 272, 2433, 562, 2608, 535, 3799, 268, 272, 11850, 348, 8199, 3499, 842, 535, 17301, 1775, 264, 19127, 604, 9217, 2525, 271, 994, 8873, 476, 272, 3248, 12828, 454, 8873, 1775, 2608, 535, 9217, 268, 272, 11850, 348, 476, 8199, 3499, 10818, 535, 3799, 994, 29985, 1599, 535, 318, 263, 2399, 3645, 19885, 994, 604, 562, 2999, 476, 273, 1287, 2132, 476, 272, 454, 8873, 535, 318, 263, 2399, 3645, 265, 333, 267, 562, 268, 272, 994, 754, 454, 8873, 535, 318, 263, 272, 19885, 994, 754, 8199, 3499, 10818, 535, 7268, 259, 328, 264, 13634, 604, 7268, 259, 328, 2652, 476, 271, 264, 13634, 8873, 476, 272, 3248, 8679, 12828, 13634, 8873, 630, 15478, 328, 2608, 535, 7268, 259, 328, 268, 272, 4297, 3248, 8679, 348, 8199, 3499, 6943, 454, 9143, 10737, 4504, 815, 476, 271, 907, 16655, 4504, 16963, 10818, 9041, 325, 263, 318, 328, 281, 570, 31339, 4504, 2567, 6715, 518, 3248, 8218, 454, 604, 630, 318, 328, 2999, 476, 273, 264, 1287, 454, 4910, 738, 28701, 476, 272, 454, 12828, 454, 4910, 738, 28701, 9041, 325, 263, 318, 328, 910, 476, 272, 11850, 754, 282, 476, 8199, 3499, 11357, 535, 13634, 3240, 8096, 333, 815, 6521, 3248, 8873, 8096, 333, 283, 273, 7790, 476, 272, 2433, 8096, 333, 2608, 535, 7268, 259, 333, 268, 272, 11850, 348, 8199, 3499, 3698, 535, 9217, 2187, 604, 1775, 2652, 476, 271, 912, 8873, 476, 272, 454, 12828, 912, 8873, 1775, 2608, 535, 9217, 268, 272, 264, 8199, 3499, 325, 815, 25300, 269, 2908, 2715, 1923, 327, 1662, 267, 1775, 347, 19474, 5157, 316, 815, 1775, 2608, 19474, 5157, 910, 272, 316, 7684, 454, 325, 314, 271, 316, 815, 476, 272, 454, 8199, 272, 454, 319, 325, 659, 815, 25300, 269, 2908, 2715, 347, 327, 267, 1775, 347, 554, 5157, 316, 815, 1775, 2608, 554, 5157, 268, 272, 316, 7684, 269, 339, 777, 2715, 347, 327, 347, 554, 314, 271, 316, 815, 476, 272, 7684, 319, 454, 3499, 325, 333, 535, 3799, 281, 579, 3953, 264, 9847, 579, 3953, 13634, 604, 562, 2999, 476, 273, 13634, 272, 454, 348, 3116, 13634, 333, 2608, 535, 3799, 910, 476, 272, 994, 8679, 348, 8199, 3499, 263, 3698, 710, 630, 325, 1775, 994, 263, 604, 630, 285, 1775, 476, 272, 994, 28949, 630, 325, 11196, 1775, 476, 272, 4297, 1775, 994, 272, 4297, 7884, 296, 10972, 558, 2813, 676, 692, 32491, 2719, 268, 21355, 1682, 3820, 0, 346, 314, 5401, 300, 20687, 9948, 10926, 9349, 5658, 621, 692, 346, 314, 5401, 300, 20687, 9948, 10926, 21172, 1449, 272, 5614, 476, 6734, 3070, 692, 258, 476, 21172, 1449, 272, 5614, 476, 6734, 3070, 910, 9501, 305, 5058, 476, 1220, 274, 10790, 292, 476, 21172, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 9915, 305, 5058, 476, 1220, 274, 22957, 667, 312, 2793, 300, 12903, 590, 6579, 23615, 21612, 294, 10790, 292, 476, 21172, 25663, 28513, 9215, 570, 12239, 476, 272, 5990, 12088, 11550, 25770, 300, 630, 320, 264, 630, 476, 1015, 2798, 3738, 8571, 513, 4137, 6029, 519, 1544, 541, 2619, 540, 513, 9325, 267, 621, 779, 2990, 6152, 678, 2073, 519, 10974, 1535, 267, 586, 267, 678, 267, 543, 16564, 2073, 543, 519, 1770, 10321, 1775, 2073, 795, 2073, 562, 678, 2073, 543, 562, 16564, 1547, 4888, 14684, 2207, 281, 630, 321, 264, 630, 476, 1015, 2798, 3738, 8058, 602, 16564, 16564, 562, 562, 815, 678, 543, 1547, 678, 562, 562, 16564, 16564, 910, 815, 3973, 1397, 602, 16564, 16564, 562, 562, 642, 642, 642, 678, 678, 1341, 815, 538, 799, 1547, 543, 16564, 16564, 678, 642, 678, 642, 678, 815, 815, 4888 ]

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

[ 11430, 19817, 2940, 267, 799, 513, 1353, 5342, 693, 3624, 6481, 2160, 538, 15990, 6402, 547, 20214, 538, 1312, 2949, 3170, 543, 22765, 18592, 269, 1403, 596, 899, 707, 521, 1023, 320, 25970, 267, 782, 519, 1732, 282, 519, 11503, 24191, 514, 538, 3905, 18717, 267, 899, 795, 531, 1901, 10722, 657, 543, 13863, 582, 956, 267, 666, 5818, 707, 10307, 267, 1932, 563, 293, 3757, 9809, 9820, 281, 829, 323, 516, 12911, 516, 1178, 23579, 14159, 324, 267, 1546, 28852, 281, 645, 879, 577, 325, 9116, 649, 326, 581, 330, 2174, 523, 267, 9929, 340, 17845, 338, 281, 3131, 1457, 645, 1551, 27004, 267, 25385, 320, 10722, 565, 281, 536, 1690, 541, 3288, 3443, 5633, 267, 715, 25005, 4133, 281, 966, 564, 1566, 14247, 1207, 1731, 737, 342, 6359, 10177, 5287, 267, 7969, 334, 281, 26332, 514, 732, 24924, 6182, 27591, 546, 718, 320, 623, 4545, 807, 267, 476, 18809, 24757, 281, 13127, 485, 493, 26406, 487, 420, 480, 504, 31878, 31968, 7511, 420, 369, 502, 420, 480, 487, 267, 2843, 510, 7846, 4736, 4736, 24012, 13953, 281, 15800, 13194, 16648, 3522, 8563, 4138, 31224, 31502, 16068, 4344, 2843, 370, 4138, 13077, 21660, 2843, 370, 4138, 8563, 3378, 16021, 267, 15840, 14505, 12868, 281, 9093, 724, 559, 836, 16988, 19748, 752, 1019, 3131, 583, 267, 17487, 490, 324, 20795, 339, 2088, 281, 32021, 1990, 327, 889, 333, 719, 14255, 536, 385, 503, 328, 20795, 324, 267, 17276, 501, 354, 10951, 361, 420, 359, 508, 281, 476, 7430, 488, 420, 483, 373, 7430, 378, 11210, 493, 11210, 488, 28374, 420, 482, 480, 420, 480, 359, 11210, 496, 9463, 500, 11210, 489, 267, 24291, 28257, 14507, 24220, 18716, 29756, 281, 476, 28519, 28405, 21333, 8294, 14180, 12168, 363, 20901, 15906, 14180, 24291, 24220, 404, 371, 14180, 267, 32172, 18028, 357, 11695, 355, 21005, 281, 7162, 359, 17775, 2633, 509, 21999, 21005, 7162, 504, 18892, 11695, 361, 21005, 7162, 502, 2633, 509, 14098, 363, 17775, 23517, 267, 24226, 482, 6893, 501, 6893, 351, 281, 476, 6893, 354, 6893, 498, 16055, 482, 6893, 480, 6893, 350, 6893, 365, 6893, 503, 6893, 360, 6893, 503, 16055, 487, 32453, 6893, 501, 16055, 487, 6893, 511, 6893, 485, 267, 476, 17432, 506, 422, 369, 511, 424, 500, 368, 281, 14091, 365, 481, 424, 480, 368, 14091, 373, 376, 32629, 498, 14091, 364, 358, 423, 366, 499, 267, 23621, 17554, 379, 978, 22870, 12782, 485, 339, 281, 16902, 17554, 352, 332, 631, 12782, 350, 536, 12782, 354, 978, 267, 570, 14660, 330, 9809, 324, 281, 717, 7238, 31990, 715, 553, 13799, 331, 661, 761, 559, 597, 454, 7312, 3237, 14201, 1406, 737, 27570, 827, 875, 1271, 19787, 616, 585, 513, 2635, 1560, 269, 1548, 789, 4440, 4769, 1406, 2995, 596, 267, 2705, 267, 729, 602, 15165, 532, 593, 19787, 568, 849, 835, 540, 519, 15864, 2081, 547, 8774, 13311, 17987, 3170, 267, 1932, 269, 4340, 547, 513, 1353, 3370, 538, 519, 4750, 540, 519, 9142, 540, 12594, 543, 10791, 7497, 267, 1904, 532, 585, 1875, 3613, 8944, 19787, 267, 899, 28471, 31884, 267, 22282, 267, 543, 29475, 267, 607, 16152, 5280, 14968, 3214, 8774, 476, 1704, 2600, 540, 741, 1471, 30844, 3170, 1247, 5355, 741, 7378, 8417, 936, 513, 2947, 4458, 1974, 269, 6056, 15165, 532, 593, 19787, 786, 4734, 596, 17237, 286, 634, 476, 736, 4107, 674, 3739, 29759, 543, 12098, 326, 625, 786, 723, 707, 17987, 13854, 538, 1100, 942, 563, 5591, 267, 649, 2461, 711, 10213, 596, 602, 596, 991, 513, 6084, 3240, 512, 3089, 630, 24392, 602, 1131, 24609, 707, 17987, 267, 649, 15475, 1040, 13298, 267, 972, 616, 1896, 1455, 1072, 2175, 602, 666, 1118, 707, 17987, 4439, 613, 543, 2394, 596, 4368, 519, 26715, 2152, 18284, 267, 4986, 3116, 666, 24609, 621, 856, 269, 1280, 3236, 267, 1082, 2021, 723, 513, 1019, 770, 529, 529, 6439, 328, 267, 610, 9668, 540, 519, 14159, 6091, 267, 1310, 6379, 269, 769, 827, 476, 1839, 2600, 540, 891, 2021, 267, 519, 6091, 2760, 3833, 2097, 1394, 1927, 267, 3056, 547, 513, 8628, 31732, 4288, 269, 6684, 267, 513, 1200, 11844, 630, 322, 784, 523, 1388, 610, 689, 606, 5945, 264, 666, 849, 2014, 707, 17987, 547, 6529, 856, 269, 5637, 2175, 666, 581, 17251, 4907, 1227, 563, 257, 2691, 649, 2461, 15877, 538, 3207, 267, 938, 1560, 779, 10399, 1205, 16207, 1055, 3666, 799, 666, 1764, 938, 14000, 2157, 519, 1985, 1554, 269, 1284, 782, 723, 1079, 10399, 602, 1860, 938, 14031, 281, 575, 327, 516, 4802, 543, 682, 696, 514, 269, 1879, 649, 1810, 1406, 1205, 2614, 3207, 267, 938, 575, 327, 516, 4802, 2157, 630, 1492, 9449, 602, 2306, 721, 1745, 17237, 264, 4473, 267, 543, 938, 682, 696, 514, 2157, 630, 1492, 9449, 602, 2306, 721, 1745, 2407, 264, 6749, 269, 901, 1797, 602, 950, 649, 2461, 25805, 267, 649, 4043, 547, 3548, 811, 855, 1745, 1447, 13854, 269, 8347, 2469, 547, 5127, 513, 2370, 4505, 982, 8912, 547, 2057, 713, 19261, 543, 3314, 547, 4894, 1022, 19240, 602, 1522, 2061, 596, 689, 12162, 3429, 1055, 1701, 0, 763, 1977, 9435, 5980, 2221, 22485, 519, 5227, 2085, 585, 9584, 2550, 693, 3328, 1981, 585, 519, 2068, 547, 476, 3393, 689, 476, 2004, 1296, 2025, 563, 763, 865, 10777, 20554, 9212, 616, 835, 533, 6162, 602, 3391, 7189, 593, 1018, 547, 798, 1310, 8391, 513, 4719, 1449, 2164, 585, 513, 3461, 563, 763, 2963, 2861, 4808, 585, 4152, 2043, 693, 1981, 540, 24353, 610, 3742, 19505, 3968, 1331, 7840, 593, 31785, 517, 3766, 10397, 5305, 543, 7636, 29508, 563, 763, 1007, 5583, 1223, 4324, 670, 11043, 543, 29157, 267, 1312, 540, 799, 2344, 7636, 1973, 9584, 4255, 17101, 676, 519, 15111, 896, 606, 3329, 1049, 1007, 3075, 1353, 7014, 563, 4913, 267, 519, 4305, 3196, 11074, 2110, 540, 2857, 2056, 519, 946, 540, 595, 860, 340, 731, 610, 824, 7636, 29508, 936, 513, 3099, 540, 1134, 28004, 1875, 2173, 12817, 4152, 2409, 563, 763, 7840, 8507, 689, 1079, 11401, 602, 4547, 1927, 13500, 267, 2978, 4600, 267, 3173, 267, 4719, 24784, 267, 543, 3461, 3885, 689, 519, 2475, 543, 4516, 563, 763, 16252, 7125, 585, 715, 7709, 307, 547, 581, 7620, 6035, 547, 2021, 16363, 693, 1164, 1981, 585, 959, 529, 3912, 476, 2641, 267, 476, 1724, 267, 610, 476, 1240, 1310, 519, 3355, 9584, 1449, 563, 17780, 593, 519, 7840, 540, 606, 4274, 2324, 1895, 267, 22078, 295, 13922, 547, 2253, 679, 13764, 519, 3084, 1382, 20165, 540, 513, 2929, 13538, 1985, 1032, 563, 763, 7840, 2232, 10071, 531, 4681, 689, 1985, 22831, 15971, 4255, 267, 10629, 2069, 267, 607, 1134, 607, 1449, 7939, 543, 32158, 9309, 618, 563, 763, 2963, 2861, 834, 24400, 29216, 569, 257, 10372, 616, 5921, 547, 7520, 6643, 1063, 7189, 543, 2550, 827, 11991, 543, 3653, 995, 7459, 563, 12867, 8204, 3744, 543, 1053, 540, 4457, 16350, 5639, 741, 4145, 827, 2487, 2475, 4507, 543, 20116, 563, 310, 1600, 5359, 602, 3173, 723, 3254, 789, 1223, 1065, 5766, 1090, 513, 5027, 2861, 2780, 563, 12867, 2161, 2799, 4763, 538, 22308, 2090, 786, 4324, 782, 267, 32282, 5240, 295, 712, 5359, 563, 1103, 3163, 713, 3018, 281, 2898, 24932, 727, 15971, 540, 2582, 14203, 2281, 267, 543, 811, 269, 0, 2662, 545, 540, 519, 1739, 6898, 827, 519, 14401, 568, 11234, 888, 272, 269, 1358, 8532, 936, 476, 736, 260, 540, 519, 3404, 17789, 839, 1031, 676, 519, 1560, 693, 1964, 563, 273, 269, 27051, 476, 6344, 271, 6447, 540, 5714, 568, 12974, 3603, 676, 519, 14401, 1142, 1554, 563, 274, 269, 476, 6344, 268, 10219, 16720, 540, 11919, 568, 7142, 883, 519, 17669, 8685, 2737, 1142, 3764, 563, 275, 269, 1358, 17492, 1447, 982, 476, 272, 260, 540, 519, 1560, 2597, 269, 0, 305, 908, 568, 2139, 950, 519, 3381, 814, 1044, 10519, 539, 563, 1607, 4183, 568, 711, 2139, 1318, 1631, 269, 7490, 2119, 1586, 2663, 563, 13775, 593, 9484, 476, 1015, 267, 476, 1001, 272, 454, 290, 5142, 335, 8672, 729, 835, 540, 2947, 8235, 32493, 772, 2529, 269, 5020, 4149, 3058, 6796, 853, 725, 2059, 519, 5032, 1063, 16189, 2358, 543, 6519, 8127, 8672, 269, 898, 568, 4092, 827, 27552, 5195, 7178, 540, 6519, 8127, 8672, 269, 898, 729, 3710, 538, 476, 6942, 276, 543, 2968, 10512, 538, 476, 6942, 277, 607, 5020, 30540, 13749, 7089, 14210, 267, 540, 519, 772, 2529, 269, 5020, 4149, 3058, 6796, 10588, 476, 1015, 630, 527, 729, 2663, 851, 540, 10588, 476, 1556, 264, 1547, 17786, 335, 8672, 15110, 922, 2012, 689, 835, 540, 519, 5020, 30540, 13749, 1832, 619, 267, 606, 4401, 2914, 2683, 10935, 2006, 3957, 18332, 17786, 335, 269, 634, 824, 2185, 5020, 4149, 3058, 853, 725, 941, 21502, 11669, 8672, 630, 852, 21502, 559, 542, 1070, 5565, 9839, 5211, 267, 1546, 518, 5244, 630, 845, 28861, 590, 27462, 5211, 13749, 543, 30073, 718, 21789, 8235, 13749, 264, 543, 9835, 3057, 9820, 563, 290, 5142, 335, 8672, 700, 30224, 729, 1101, 605, 2889, 338, 539, 538, 476, 6245, 277, 543, 1169, 1032, 27502, 2394, 6368, 9516, 538, 4873, 540, 476, 5002, 273, 269, 634, 2244, 729, 12349, 734, 325, 604, 10117, 14143, 734, 520, 513, 3902, 540, 1269, 1789, 269, 876, 269, 634, 632, 539, 729, 18584, 2904, 476, 2641, 267, 476, 5002, 274, 269, 0, 2026, 851, 540, 922, 5614, 2736, 5752, 267, 543, 607, 606, 10137, 540, 3163, 11833, 267, 519, 670, 1046, 518, 1261, 2074, 5398, 7732, 543, 1453, 779, 7172, 4115, 2549, 7701, 12794, 1009, 517, 4547, 513, 1360, 3579, 1982, 547, 1858, 1453, 593, 13723, 12784, 1572, 968, 763, 3163, 540, 808, 1263, 320, 3034, 1607, 1982, 267, 1247, 3450, 2596, 4702, 2035, 267, 1185, 513, 2370, 1945, 585, 1169, 835, 540, 519, 3592, 2185, 18797, 1453, 538, 20343, 563, 22154, 568, 513, 18960, 1982, 2223, 12794, 1009, 517, 1767, 269, 968, 2171, 2911, 513, 2370, 827, 875, 808, 1263, 320, 729, 2813, 267, 1018, 519, 2262, 968, 297, 1263, 320, 892, 1797, 267, 875, 1082, 4773, 621, 814, 267, 543, 2596, 4702, 2035, 971, 607, 3196, 540, 8904, 267, 8159, 4452, 267, 13210, 543, 2178, 13279, 267, 543, 13091, 4229, 267, 543, 649, 3580, 2911, 827, 2326, 1031, 950, 2679, 269, 1656, 1287, 649, 3580, 1404, 2560, 713, 786, 581, 1187, 3034, 295, 320, 1009, 517, 3459, 519, 3992, 609, 513, 2243, 281, 968, 1432, 568, 519, 1034, 2442, 4604, 3014, 538, 519, 1158, 9495, 634, 2626, 568, 3933, 30496, 269, 634, 2034, 1034, 2442, 4604, 3014, 568, 2480, 4599, 1076, 267, 543, 519, 3791, 1034, 2442, 3014, 267, 5001, 267, 568, 808, 1263, 320, 563, 9515, 1287, 5795, 519, 10356, 1453, 930, 808, 1263, 320, 5013, 267, 799, 1131, 581, 519, 4493, 585, 519, 1964, 540, 519, 12784, 779, 3992, 563, 32046, 538, 519, 476, 2735, 271, 338, 267, 808, 1263, 320, 729, 22885, 676, 513, 3703, 4807, 945, 1185, 1044, 4535, 543, 6659, 538, 15057, 282, 519, 2262, 968, 297, 1263, 320, 892, 2965, 1797, 968, 28265, 892, 538, 4210, 1695, 8270, 269, 634, 3014, 814, 476, 7918, 11308, 4773, 799, 616, 30528, 1614, 2066, 543, 476, 1240, 2157, 1164, 267, 543, 7758, 625, 593, 3666, 543, 8904, 563, 295, 320, 1009, 517, 779, 1985, 2243, 267, 968, 8005, 568, 4712, 585, 811, 2257, 9495, 19430, 3163, 11833, 2834, 9253, 534, 773, 570, 329, 23565, 547, 6318, 1200, 1688, 909, 1164, 267, 543, 519, 4702, 2035, 3459, 538, 7118, 652, 563, 295, 320, 1009, 517, 5941, 13907, 2443, 4666, 13907, 630, 1721, 3236, 267, 519, 20832, 543, 3819, 3774, 538, 513, 2679, 1070, 2661, 13907, 630, 1721, 3236, 267, 519, 1004, 538, 513, 2679, 1070, 543, 6422, 13907, 630, 331, 633, 13907, 602, 2049, 609, 1390, 3196, 267, 585, 3236, 267, 24377, 610, 16767, 1916, 10190, 1352, 5941, 13210, 267, 713, 942, 609, 513, 3308, 269, 2701, 1185, 1079, 1453, 689, 519, 5304, 1142, 1449, 513, 1114, 3349, 267, 799, 1185, 1507, 8747, 540, 808, 1263, 320, 1305, 909, 593, 873, 563, 763, 1101, 729, 513, 2864, 678, 1157, 1214, 3556, 3349, 267, 543, 519, 808, 1263, 320, 3014, 8593, 1318, 936, 282, 519, 2034, 729, 513, 811, 7123, 14328, 3349, 267, 543, 1247, 519, 808, 1263, 320, 3014, 18423, 20005, 267, 621, 1869, 530, 984, 16940, 563, 10190, 1352, 11329, 547, 519, 6989, 269, 968, 763, 6989, 568, 519, 1655, 5748, 2223, 1352, 6045, 269, 968, 2005, 779, 519, 18569, 5006, 282, 621 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 667, 267, 661, 321, 267, 661, 267, 674, 267, 674, 258, 267, 717, 543, 2806, 1040, 2986, 1346, 476, 1321, 267, 972, 616, 476, 276, 602, 960, 3226, 1134, 593, 519, 13176, 2433, 595, 267, 589, 267, 717, 2073, 661, 267, 543, 667, 563, 1692, 798, 596, 917, 1018, 1883, 513, 5152, 568, 538, 888, 4263, 519, 1283, 540, 513, 1134, 27787, 5750, 267, 596, 3580, 1294, 513, 1579, 325, 1299, 513, 942, 15040, 267, 543, 538, 1063, 873, 568, 513, 1883, 15040, 9789, 1297, 540, 5857, 1186, 610, 1166, 1846, 2995, 596, 1018, 1883, 519, 5152, 568, 538, 4586, 1432, 1883, 568, 717, 7374, 888, 28082, 16147, 3356, 687, 538, 519, 1883, 540, 717, 454, 347, 296, 268, 10001, 910, 309, 1475, 294, 4211, 5937, 2008, 347, 296, 268, 10001, 1107, 594, 13305, 1475, 294, 4211, 8566, 5937, 2008, 347, 296, 13305, 910, 12858, 268, 10001, 1475, 294, 5937, 268, 2506, 910, 290, 2008, 347, 296, 268, 4512, 1107, 10001, 910, 309, 1475, 294, 268, 2549, 4211, 5937, 2008, 1432, 616, 519, 476, 274, 3119, 22334, 538, 2575, 888, 763, 594, 267, 10001, 267, 543, 966, 22334, 616, 519, 1614, 1034, 1031, 22334, 538, 1142, 2101, 1883, 269, 1325, 3716, 596, 1131, 1289, 873, 267, 968, 763, 835, 267, 2185, 267, 543, 2947, 22334, 1848, 634, 594, 16147, 568, 3710, 593, 519, 1101, 4063, 540, 519, 1883, 269, 634, 10001, 16147, 568, 3710, 593, 519, 8772, 4063, 540, 519, 1883, 563, 3963, 568, 667, 16147, 865, 2182, 888, 763, 667, 16147, 593, 13176, 568, 1360, 2352, 585, 14987, 1317, 596, 723, 547, 946, 1614, 2048, 20889, 685, 11263, 630, 16269, 2461, 711, 536, 684, 3481, 1927, 538, 606, 2653, 610, 11741, 1895, 264, 543, 2034, 569, 596, 1590, 2057, 4730, 476, 273, 12673, 269, 1358, 1611, 968, 18484, 1406, 1404, 713, 5569, 892, 4700, 744, 1276, 269, 901, 835, 779, 9157, 476, 2336, 1692, 1390, 568, 938, 2696, 22334, 888, 1607, 9184, 568, 585, 519, 589, 2101, 4528, 540, 519, 5152, 1496, 19723, 572, 476, 272, 316, 717, 2506, 278, 634, 26672, 528, 540, 519, 3751, 267, 8052, 1117, 538, 14734, 17965, 267, 595, 273, 2913, 782, 519, 3618, 556, 329, 4069, 267, 782, 519, 3618, 556, 329, 4069, 269, 717, 2506, 278, 1261, 12109, 1186, 13924, 1345, 538, 1769, 267, 543, 14334, 13290, 547, 12404, 267, 595, 273, 1656, 1726, 3387, 956, 693, 1010, 5639, 267, 1726, 3387, 956, 693, 1010, 5639, 563, 1432, 1883, 568, 667, 22720, 21781, 888, 28082, 16147, 3356, 687, 538, 519, 1883, 540, 667, 454, 347, 296, 13305, 910, 12858, 268, 10001, 1475, 291, 5025, 5174, 332, 8566, 2008, 347, 296, 268, 4512, 1107, 10001, 910, 309, 1475, 291, 268, 2506, 910, 294, 5025, 2008, 347, 296, 8686, 328, 268, 4512, 13305, 1475, 291, 5174, 332, 268, 2506, 910, 288, 2008, 347, 296, 8686, 328, 268, 10001, 910, 309, 1475, 291, 5174, 332, 8566, 5025, 2008, 7617, 1883, 568, 2362, 595, 610, 717, 888, 1492, 1883, 540, 595, 568, 513, 3501, 8772, 2362, 982, 519, 1883, 540, 717, 2073, 610, 513, 3501, 11359, 2630, 621, 563, 8489, 798, 596, 2322, 519, 1698, 334, 585, 1883, 540, 717, 888, 2690, 1383, 952, 596, 899, 547, 946, 519, 1930, 630, 14140, 2990, 264, 22334, 538, 519, 1883, 540, 717, 2101, 971, 607, 717, 2073, 595, 267, 667, 267, 2506, 543, 2549, 855, 1616, 547, 2206, 513, 5152, 538, 519, 1883, 540, 589, 267, 596, 666, 2322, 513, 1698, 334, 593, 519, 2034, 31361, 543, 1404, 519, 22334, 607, 952, 596, 941, 4730, 538, 519, 1883, 540, 717, 1547, 0, 2005, 1131, 711, 2965, 581, 4636, 547, 2161, 602, 22876, 2858, 1588, 20217, 538, 3592, 1169, 2013, 2348, 547, 2322, 909, 609, 2942, 2360, 540, 22876, 2858, 1588, 799, 538, 2490, 8451, 950, 596, 3111, 547, 798, 1919, 593, 942, 543, 849, 798, 711, 798, 4376, 547, 9585, 707, 3853, 563, 763, 811, 20468, 2460, 547, 7231, 609, 2942, 2360, 540, 22876, 2858, 1588, 568, 602, 789, 666, 3362, 2244, 596, 538, 513, 17339, 602, 19890, 786, 581, 540, 707, 1378, 1818, 543, 799, 786, 1267, 538, 6849, 25680, 4539, 563, 293, 5661, 1677, 9701, 518, 13786, 4850, 454, 291, 571, 21794, 707, 3952, 543, 18656, 3101, 538, 21084, 540, 23072, 543, 1256, 1058, 1359, 9021, 543, 3622, 17528, 547, 2347, 2285, 4247, 3622, 4386, 1317, 540, 4250, 269, 4107, 1004, 602, 22876, 2858, 3729, 1265, 621, 2653, 547, 1577, 1271, 960, 2611, 18106, 543, 616, 8348, 547, 1450, 1919, 547, 13472, 543, 713, 538, 2490, 568, 513, 2386, 1797, 540, 3850, 519, 4473, 540, 2942, 2360, 540, 22876, 2858, 1588, 563, 15987, 513, 2370, 3787, 540, 22876, 2858, 1588, 568, 620, 2431, 543, 11807, 7050, 22876, 2858, 1588, 786, 2285, 4473, 547, 519, 2942, 2360, 540, 22876, 2858, 1588, 602, 540, 1576, 666, 1291, 547, 3978, 2152, 1256, 952, 621, 1152, 3322, 8380, 1055, 5634, 960, 543, 3850, 26050, 547, 13793, 593, 707, 3946, 607, 596, 1491, 942, 547, 32696, 538, 24735, 6927, 1175, 547, 723, 513, 1434, 942, 610, 2972, 3054, 269, 1452, 4652, 31944, 4247, 786, 2285, 4473, 547, 18473, 543, 1256, 17116, 4539, 602, 786, 1287, 1118, 1272, 1360, 17173, 585, 519, 22876, 2858, 13541, 563, 763, 1249, 540, 519, 2339, 568, 602, 3850, 1919, 547, 979, 689, 3983, 547, 8338, 2306, 513, 1268, 1745, 602, 741, 2729, 616, 2965, 646, 8157, 543, 849, 7294, 1498, 538, 4641, 621, 5012, 547, 711, 1152, 2348, 547, 4308, 609, 2942, 2360, 540, 22876, 2858, 1588, 855, 621, 2306, 596, 1413, 693, 1919, 689, 519, 4636, 5133, 563, 15987, 519, 6857, 2247, 1522, 24633, 596, 602, 942, 568, 2110, 596, 1522, 1869, 1450, 596, 547, 1205, 9575, 909, 538, 3257, 5634, 1919, 543, 713, 1797, 602, 519, 3677, 4605, 4991, 23324, 563, 305, 1430, 982, 2347, 1271, 4247, 513, 22876, 2858, 13541, 786, 1265, 942, 547, 798, 1919, 602, 1291, 547, 7680, 2942, 2360, 540, 22876, 2858, 1588, 543, 713, 568, 2938, 950, 3079, 540, 11264, 1271, 960, 519, 1268, 2965, 4422, 856, 10918, 610, 29167, 513, 7260, 610, 3274, 22178, 525, 827, 563, 2005, 6157, 17188, 547, 8495, 543, 1265, 856, 811, 827, 1018, 616, 519, 2360, 540, 22876, 2858, 1588, 269, 634, 10750, 5168, 568, 602, 676, 3257, 1271, 960, 543, 593, 942, 596, 666, 1118, 2352, 4247, 1413, 2653, 1247, 519, 6587, 786, 581, 3020, 952, 596, 1450, 1919, 547, 20847, 543, 1287, 3079, 540, 11264, 1271, 960, 596, 1450, 3054, 547, 581, 521, 573, 25523, 22486, 883, 3257, 24735, 1919, 3056, 547, 2942, 2360, 540, 22876, 2858, 1588, 269, 0, 4572, 1296, 3516, 267, 593, 4873, 476, 1015, 267, 476, 9264, 280, 267, 519, 3084, 2229, 2813, 519, 11572, 543, 13639, 16710, 540, 519, 5689, 9109, 553, 11866, 543, 519, 1520, 329, 659, 4293, 547, 15729, 24125, 538, 519, 9533, 7256, 543, 3957, 30511, 31996, 564, 607, 922, 19524, 563, 7712, 519, 2904, 7169, 540, 476, 8687, 271, 267, 3592, 1079, 5756, 540, 6024, 543, 11636, 6411, 1185, 5293, 538, 519, 3635, 540, 16285, 936, 1346, 11182, 543, 18335, 4956, 547, 2285, 5689, 9109, 553, 543, 922, 10450, 606, 11889, 5943, 862, 839, 23847, 609, 922, 2956, 563, 763, 5137, 676, 31885, 540, 519, 16710, 729, 519, 9266, 12343, 540, 513, 3586, 1646, 4359, 676, 4408, 971, 607, 808, 5282, 623, 5995, 1723, 267, 623, 32631, 589, 2958, 340, 520, 6403, 910, 14140, 14861, 710, 17294, 540, 519, 5689, 9109, 553, 11866, 268, 543, 30511, 31996, 564, 563, 763, 1259, 538, 799, 519, 14861, 710, 16285, 10643, 936, 519, 5689, 9109, 553, 11866, 616, 1759, 972, 568, 540, 5579, 659, 762, 8856, 269, 634, 31885, 20964, 519, 796, 23896, 762, 5053, 16285, 543, 15896, 540, 519, 674, 1779, 1633, 11866, 693, 519, 4266, 540, 519, 14861, 710, 26602, 760, 2218, 3350, 543, 3877, 519, 5053, 16285, 10643, 563, 4415, 2698, 9355, 267, 621, 849, 6920, 602, 18335, 568, 519, 25752, 547, 8050, 936, 519, 2025, 11182, 540, 519, 30647, 518, 5819, 1399, 540, 519, 681, 6403, 334, 632, 3288, 1773, 1092, 543, 602, 621, 16309, 621, 607, 519, 16048, 19988, 540, 519, 11866, 607, 540, 2904, 476, 1839, 267, 476, 8687, 271, 267, 2687, 547, 513, 1134, 28004, 6240, 540, 519, 4139, 1318, 563, 7661, 267, 621, 19528, 519, 968, 9711, 540, 2531, 514, 542, 936, 1767, 11866, 267, 741, 16788, 543, 5032, 338, 5608, 538, 2312, 4704, 547, 519, 19988, 6411, 5645, 856, 676, 519, 6243, 267, 799, 2982, 602, 621, 729, 2907, 538, 15896, 540, 519, 8513, 693, 519, 942, 540, 5137, 269, 540, 519, 16710, 563, 4322, 7440, 267, 689, 3592, 1079, 5553, 3516, 267, 723, 711, 4957, 513, 26893, 2394, 2221, 269, 901, 18327, 519, 4396, 640, 543, 25843, 540, 519, 14861, 710, 2990, 267, 538, 4334, 547, 519, 3703, 835, 267, 799, 547, 17854, 922, 19525, 814, 1044, 7683, 4657, 2394, 2221, 267, 950, 621, 27235, 22587, 547, 519, 9277, 1318, 540, 1582, 24148, 547, 2057, 1022, 19908, 609, 18335, 269, 634, 31885, 540, 476, 9264, 280, 8711, 713, 2962, 540, 519, 2136, 8003, 543, 922, 27621, 762, 3656, 8467, 563, 13295, 267, 2947, 3275, 1310, 519, 5137, 540, 519, 16710, 543, 519, 13393, 540, 30511, 31996, 564, 607, 1101, 19524, 267, 519, 2136, 8003, 2847, 1882, 922, 14460, 3409, 547, 519, 674, 1779, 1633, 11866, 563, 4649, 1296, 1185, 5293, 2094, 519, 10205, 618, 540, 519, 10661, 3710, 1107, 31205, 267, 538, 3983, 5132, 543, 14669, 547, 519, 21308, 540, 519, 942, 1107, 538, 17896, 632, 3288, 12724, 1228, 593, 2558, 514, 21059, 6816, 267, 513, 1507, 6532, 538, 519, 20523, 5689, 341, 2088, 563, 5475, 811, 982, 3368, 513, 2540, 540, 2347, 16563, 538, 519, 3068, 540, 9118, 6411, 540, 16285, 5645, 856, 267, 1101, 676, 8050, 267, 543, 2663, 676, 18335, 267, 519, 3703, 11347, 538, 11370, 523, 657, 589, 2231, 1500, 513, 1517, 730, 267, 3908, 543, 3983, 5132, 13889, 1996, 519, 3084, 31885, 1547, 634, 2229, 540, 11370, 523, 657, 589, 2231, 267, 609, 9983, 267, 17019, 2256, 18967, 540, 519, 4063, 630, 516, 701, 730, 1152, 1614, 1296, 2663, 264, 543, 4797, 609, 922, 19988, 3609, 936, 519, 11866, 563, 3719, 519, 4909, 2956, 540, 519, 31885, 540, 476, 9264, 280, 6013, 538, 922, 2360, 593, 519, 1483, 1646, 540, 519, 11866, 896, 2407, 14861, 710, 16285, 563, 29128, 1287, 267, 519, 674, 1779, 4133, 1185, 2760, 10150, 971, 1480, 1646, 269, 634, 10195, 1185, 267, 2394, 519, 3703, 721, 584, 335, 566, 538, 476, 8146, 274, 267, 513, 7123, 2551, 540, 835, 4627, 543, 513, 3368, 1004, 630, 1575, 547, 476, 4968, 20948, 621, 693, 930, 1448, 1916, 763, 3084, 2229, 8547, 1896, 1609, 534, 857, 553, 543, 1079, 4130, 10034, 269, 2701, 788, 941, 5189, 543, 4540, 12418, 543, 9640, 941, 4824, 269, 2552, 9711, 609, 519, 5065, 2551, 540, 4793, 6782, 807, 543, 570, 20346, 1642, 674, 826, 2998, 941, 23163, 267, 543, 17896, 3752, 539, 611, 2968, 513, 1448, 540, 3665, 2956, 585, 25501, 945, 5293, 689, 519, 9533, 547, 519, 7414, 543, 13030, 17930, 563, 15575, 1652, 616, 519, 6411, 5645, 856, 676, 31996, 564, 607, 19524, 540, 519, 674, 1779, 4133, 269, 898, 4294, 3084, 9086, 593, 519, 5726, 540, 2713, 2200, 267, 4359, 585, 922, 942, 282, 5645, 856, 7803, 18659, 282, 5340, 519, 1101, 3540, 22888, 538, 14861, 710, 8513, 538, 782, 3084, 1686, 282, 9783, 9304, 282, 621, 11292, 2244, 598, 947, 687, 543, 729, 513, 22082, 538, 5009, 1977, 543, 3864, 11776, 267, 1851, 1082, 824, 3527, 563, 763, 1019, 2456, 540, 1010, 7385, 267, 3057, 17144, 590, 5451, 14162, 267, 543, 540, 1010, 7015, 267, 2506, 559, 1470, 267, 7703, 7198, 547, 519, 11812, 540, 3084, 3084, 14812, 676, 519, 2551, 1107, 1256, 540, 1776, 22874, 1107, 543, 2407, 2463, 585, 519, 4031, 540, 519, 6243, 563, 5445, 849, 2285, 606, 2272, 540, 519, 1101, 4332, 10805, 538, 519, 10195, 896, 519, 16285, 540, 513, 3557, 267, 10502, 602, 540, 519, 8250, 540, 30511, 543, 3057, 17144, 267, 945, 729, 4535, 593, 5988, 476, 276, 267, 476, 8146, 271, 543, 16004, 519, 2012, 540, 4223, 32499, 31996, 564, 586, 590, 5451, 14162, 267, 4352, 1352, 729, 1634, 607, 5689, 341, 2088, 31996, 564, 563, 763, 14861, 710, 2229, 1185, 2813, 606, 11889, 16857, 1770, 538, 476, 9264, 280, 602, 3769, 519, 5689, 9109, 553, 267, 570 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28115, 919, 543, 20737, 543, 6309, 3373, 1202, 2033, 616, 2901, 861, 322, 5328, 610, 861, 874, 4106, 545, 538, 741, 588, 26584, 27836, 1734, 269, 3509, 540, 519, 6309, 3373, 1202, 2033, 543, 28115, 919, 1223, 581, 1360, 7494, 28322, 543, 4440, 23174, 676, 930, 540, 519, 1884, 19192, 874, 4106, 545, 14319, 563, 4131, 721, 1491, 909, 930, 540, 519, 2589, 540, 519, 2212, 607, 8915, 538, 519, 861, 874, 4106, 545, 3461, 269, 1452, 14331, 2356, 930, 593, 538, 519, 3781, 543, 616, 3592, 2141, 538, 519, 1394, 540, 519, 2212, 282, 789, 786, 31199, 782, 3781, 267, 1205, 1732, 538, 519, 6640, 267, 1152, 547, 2097, 593, 1586, 693, 3781, 269, 634, 14331, 616, 20585, 267, 5230, 2943, 561, 4545, 3215, 282, 789, 616, 6414, 1836, 3586, 693, 519, 3490, 540, 519, 2634, 593, 835, 2427, 563, 763, 15677, 602, 2097, 593, 9530, 904, 610, 950, 789, 616, 2476, 1106, 741, 8912, 4938, 725, 616, 2356, 27666, 7595, 543, 861, 874, 4106, 545, 10659, 269, 5204, 874, 4106, 545, 14331, 616, 2356, 8338, 14964, 267, 1732, 676, 5163, 267, 8338, 676, 11851, 542, 267, 2901, 2790, 610, 2168, 269, 1358, 616, 2356, 10483, 676, 513, 1390, 4308, 540, 4411, 1145, 540, 519, 1560, 267, 18354, 543, 605, 1598, 566, 269, 1358, 616, 8338, 676, 14246, 610, 3002, 543, 1732, 676, 4411, 3156, 282, 8338, 676, 9602, 1964, 267, 676, 14084, 1524, 693, 3781, 543, 676, 3207, 267, 543, 1732, 676, 9224, 1076, 539, 269, 630, 9616, 519, 23053, 585, 519, 861, 874, 4106, 545, 15677, 607, 1373, 3592, 4010, 6587, 1346, 540, 519, 27666, 7595, 1826, 267, 799, 616, 1732, 676, 1964, 267, 676, 14084, 1524, 267, 1732, 676, 3905, 3498, 282, 519, 27666, 7595, 14331, 2097, 593, 538, 519, 24817, 1247, 519, 861, 874, 4106, 545, 616, 8915, 693, 3781, 8094, 302, 1111, 550, 1307, 519, 861, 874, 4106, 545, 3461, 5360, 1622, 540, 513, 6512, 827, 519, 2212, 267, 799, 568, 4440, 1813, 547, 513, 13581, 2498, 4288, 689, 519, 23971, 7002, 7252, 269, 589, 1126, 609, 891, 861, 874, 4106, 545, 14331, 786, 16004, 1010, 2212, 883, 519, 10788, 578, 610, 5066, 519, 2212, 689, 2427, 547, 2427, 269, 9453, 519, 1884, 19192, 874, 4106, 545, 16185, 891, 14331, 616, 711, 3362, 21443, 762, 547, 2126, 269, 2368, 1004, 29153, 602, 1354, 891, 14331, 789, 1995, 513, 986, 27281, 14000, 282, 891, 19183, 616, 513, 4999, 610, 32411, 543, 27666, 7702, 563, 763, 861, 874, 4106, 545, 16663, 1397, 1082, 2010, 540, 9825, 15282, 267, 855, 2523, 1346, 693, 519, 3490, 540, 519, 2634, 269, 1452, 949, 581, 1459, 849, 538, 519, 861, 322, 5328, 16663, 267, 855, 789, 2523, 19038, 547, 581, 1459, 538, 519, 16321, 4788, 1019, 520, 4185, 267, 519, 4999, 540, 32411, 543, 27666, 7702, 269, 4595, 1312, 32411, 543, 27666, 7702, 723, 6825, 9825, 15282, 267, 519, 9769, 540, 519, 1079, 17613, 713, 2589, 538, 513, 6825, 4110, 563, 763, 10835, 540, 1164, 1973, 2604, 568, 3361, 267, 689, 519, 7293, 1448, 540, 2070, 267, 676, 513, 5394, 2287, 540, 519, 27555, 25151, 610, 606, 4323, 540, 26669, 26578, 25518, 267, 543, 568, 606, 4082, 540, 606, 4890, 1689, 540, 2497, 538, 519, 27555, 1062, 269, 7827, 540, 2497, 1281, 711, 2049, 538, 9296, 6088, 27666, 7702, 267, 855, 950, 519, 27666, 7595, 7988, 322, 6652, 807, 568, 5916, 609, 519, 861, 874, 4106, 545, 267, 7293, 2242, 798, 1491, 1747, 267, 543, 538, 713, 23314, 649, 723, 606, 4082, 540, 519, 4999, 540, 519, 1079, 588, 10176, 1092, 563, 763, 5920, 540, 1004, 7092, 689, 519, 861, 874, 4106, 545, 16663, 1419, 6645, 519, 1650, 693, 513, 16145, 267, 585, 649, 7747, 602, 646, 2212, 568, 1804, 543, 4439, 3101, 267, 519, 4552, 568, 5848, 267, 15441, 344, 267, 6067, 6470, 267, 543, 609, 606, 18086, 5212, 712, 282, 519, 4552, 8813, 856, 538, 536, 31708, 267, 4098, 1101, 593, 519, 14584, 543, 1287, 593, 519, 17633, 269, 634, 4552, 593, 519, 32071, 4900, 543, 22442, 10449, 8813, 267, 543, 519, 4552, 538, 519, 581, 731, 2887, 269, 634, 24827, 538, 519, 581, 731, 616, 1419, 538, 3395, 267, 543, 1139, 23847, 282, 11361, 1004, 1419, 29153, 602, 519, 24827, 538, 519, 22442, 10449, 2736, 543, 2490, 27808, 267, 4929, 1454, 16698, 538, 519, 31792, 10216, 563, 5141, 29141, 6514, 2982, 602, 538, 891, 7494, 23762, 9843, 519, 521, 583, 999, 616, 2571, 282, 519, 13944, 534, 21304, 2611, 1930, 1310, 519, 3339, 942, 540, 14656, 267, 543, 972, 568, 513, 2489, 8652, 21306, 1355, 5920, 540, 519, 2212, 563, 763, 21435, 568, 5848, 538, 2489, 269, 634, 21435, 1086, 335, 2231, 543, 519, 4552, 3587, 6632, 282, 519, 21435, 1086, 335, 2231, 950, 789, 616, 18069, 610, 950, 789, 616, 25805, 269, 634, 26706, 593, 519, 21435, 616, 3592, 2141, 5848, 267, 609, 5394, 5835, 2267, 7370, 267, 689, 896, 799, 5394, 5835, 10669, 522, 334, 8240, 269, 634, 3235, 345, 655, 553, 827, 543, 3297, 519, 10772, 2348, 5394, 9087, 564, 573, 10669, 267, 543, 519, 18015, 827, 519, 1274, 543, 538, 519, 513, 1116, 12324, 267, 616, 513, 21910, 532, 540, 519, 861, 874, 4106, 545, 16663, 593, 547, 519, 27666, 7595, 269, 769, 519, 16321, 4788, 3461, 519, 26706, 593, 519, 21435, 616, 8338, 676, 28876, 563, 763, 4064, 616, 4230, 26584, 267, 543, 713, 861, 874, 4106, 545, 7988, 322, 6652, 807, 814, 22775, 885, 540, 519, 7828, 543, 540, 519, 31894, 267, 543, 782, 18195, 800, 2242, 616, 1644, 547, 713, 16663, 269, 5457, 602, 32411, 632, 13257, 3388, 282, 27666, 7702, 4805, 543, 676, 3294, 2760, 3123, 22775, 885, 267, 855, 538, 519, 4999, 540, 519, 1079, 649, 1265, 1390, 1082, 22775, 885, 563, 308, 331, 1356, 566, 568, 519, 1665, 540, 519, 861, 874, 4106, 545, 269, 1411, 786, 1265, 538, 891, 2550, 22377, 725, 540, 519, 31894, 282, 22377, 725, 540, 519, 561, 1749, 269, 589, 15116, 5114, 540, 891, 2550, 568, 602, 789, 616, 703, 26985, 540, 5841, 1769, 269, 1411, 786, 5873, 873, 2161, 602, 789, 3112, 1224, 610, 960, 676, 5841, 1769, 269, 901, 14687, 609, 519, 1974, 540, 24395, 566, 540, 519, 861, 874, 4106, 545, 544, 14416, 563, 303, 339, 2670, 540, 519, 561, 1749, 543, 519, 513, 8849, 326, 5362, 540, 519, 4064, 543, 519, 2212, 2097, 896, 519, 861, 874, 4106, 545, 1895, 269, 1452, 8849, 326, 5362, 616, 8338, 693, 3781, 543, 8338, 689, 3002, 563, 11514, 12737, 525, 689, 519, 4064, 538, 891, 2175, 616, 3039, 880, 610, 3039, 880, 3917, 3641, 538, 7990, 269, 901, 568, 1459, 849, 538, 861, 322, 5328, 1004, 267, 610, 538, 1004, 609, 16321, 4788, 13542, 269, 21081, 2827, 540, 519, 561, 1749, 267, 607, 1134, 607, 588, 13433, 267, 616, 540, 519, 16321, 4788, 1826, 563, 1103, 9002, 543, 1453, 543, 1762, 1004, 896, 8938, 1296, 540, 2085, 596, 1419, 1265, 1360, 4922, 8920, 730, 10453, 282, 713, 568, 606, 16315, 540, 519, 16321, 4788, 1019, 520, 4185, 563, 1103, 16321, 4788, 569, 20916, 1453, 596, 1265, 7293, 2242, 538, 519, 1274, 269, 18421, 602, 6285, 267, 873, 971, 607, 897, 1091, 610, 15319, 31462, 1846, 610, 1022, 540, 519, 865, 10777, 8650, 3676, 267, 2982, 922, 2078, 547, 519, 588, 26584, 4999, 676, 1139, 15342, 540, 519, 1274, 269, 901, 1139, 4851, 267, 1100, 2339, 875, 11213, 621, 949, 581, 267, 568, 519, 3106, 29705, 557, 540, 1126, 1272, 269, 769, 782, 540, 891, 1274, 19183, 267, 519, 12402, 547, 519, 3781, 24395, 566, 568, 1360, 6825, 282, 789, 786, 581, 782, 1318, 1282, 519, 1554, 267, 855, 689, 3141, 16365, 547, 3141, 5346, 519, 8984, 24395, 566, 2982, 3294, 269, 769, 1169, 21074, 633, 2068, 972, 568, 606, 9311, 2939, 540, 1647, 1274, 8373, 538, 891, 1453, 267, 543, 789, 786, 3136, 713, 1184, 2394, 519, 1884, 2354, 7595, 543, 1884, 19192, 874, 4106, 545, 14319, 723, 2944, 741, 6225, 960, 563, 25802, 1419, 538, 891, 588, 26584, 8374, 540, 519, 1274, 972, 568, 811, 610, 1447, 11166, 267, 543, 865, 1279, 607, 519, 11166, 689, 519, 1274, 5170, 519, 3461, 10607, 538, 2489, 1072, 269, 6884, 713, 11166, 689, 519, 1274, 5170, 519, 3461, 10607, 538, 2489, 1072, 269, 6884, 713, 11166, 689, 519, 1274, 786, 3136, 585, 1296, 267, 543, 519, 1072, 786, 2611, 9425, 1434, 269, 1717, 267, 952, 519, 11166, 568, 26793, 267, 519, 3461, 779, 1072, 23119, 7494, 563, 1103, 5920, 267, 891, 2550, 1020, 1360, 1804, 10772, 269, 634, 27914, 540, 519, 1274, 568, 12779, 267, 3043, 543, 12001, 563, 1103, 519, 861, 874, 4106, 545, 7988, 322, 6652, 807, 519, 2631, 540, 9329, 568, 4503, 267, 543, 519, 9224, 6926, 2644, 1360, 11593, 267, 2523, 950, 972, 568, 519, 28658, 609, 27666, 7702, 267, 538, 519, 840, 2389, 21310, 4788, 3942, 269, 634, 840, 268, 16321, 4788, 1126, 786, 723, 688, 13579, 9071, 1137, 689, 519, 9224, 693, 519, 13581, 652, 1008, 6327, 269, 2311, 519, 1482, 942, 789, 616, 1641, 547, 4049, 14331, 267, 855, 519, 688, 13579, 9071, 1137, 14867, 519, 2212, 2589, 563, 10907, 928, 967, 584, 1092, 540, 519, 9224, 5673, 2390, 519, 9769, 540, 519, 27666, 7595, 543, 519, 861, 874, 4106, 545, 2175, 269, 1635, 1082, 713, 2783, 568, 2808, 7543, 540, 10826, 267, 2943, 609, 519, 1702, 540, 922, 588, 26584, 5169, 621, 949, 581, 6569, 543, 519, 3461, 4547, 547, 513, 1732, 1533, 540, 1072, 563, 3080, 540, 519, 29039, 4191, 540, 519, 861, 874, 4106, 545, 512, 5593, 568, 519, 9552, 540, 5160, 269, 901, 568, 519, 1152, 16663, 538, 799, 519, 7633, 540, 519, 9224, 616, 10032, 269, 5606, 1218, 543, 1453, 945, 723, 968, 338, 333, 4428, 956, 892, 616, 8915, 532, 2901, 519, 861, 874, 4106, 545, 610, 861, 322, 5328, 512, 5593, 269, 634, 861, 874, 4106, 545, 4082, 538, 519, 9224, 568, 676, 1082, 1085, 11274, 543, 2267, 7370, 267, 799, 616, 4158, 3039, 880, 547, 6960, 610, 3109, 269, 1452, 616, 711, 2141, 18086, 538, 5212, 712, 267, 855, 538, 519, 16321, 4788, 1019, 520, 4185, 891, 19183, 723, 519, 5212, 712, 540, 2025, 10381, 267, 543, 972, 568, 513, 5394, 5835, 11166, 519, 12772, 1394, 883, 519, 11563, 563, 1103, 519, 18720, 8611, 1826, 540, 13542, 267, 799, 568, 835, 540, 519, 1034, 13542, 2175, 649, 723, 547, 4308, 609, 267, 649, 723, 607, 513, 3490, 519, 27666, 7595, 267, 519, 861, 874, 4106, 545, 543, 519, 861, 322, 5328, 269, 634, 861, 322, 5328, 3788, 24353, 1282, 519, 3742, 1974, 267, 855, 786, 2097, 856, 2663, 267, 1310, 1697, 2126, 814, 1044, 1128, 21114, 269, 1452, 2665, 616, 2141, 2352, 547, 1521, 267, 543, 1869, 811, 2352, 950, 16796, 610, 6669, 2126, 814, 1044, 2016, 563, 1103, 519, 16321, 4788, 1019, 520, 4185, 267, 972, 616, 4931, 30533, 539, 2699, 9634, 593, 519, 1750, 4060, 540, 4079, 610, 1453, 267, 1354, 1022, 824, 19183, 1397, 2933, 282, 891, 616, 849, 3905, 1166, 16640, 824, 982, 693, 519, 6172, 1461, 545, 1974, 269, 634, 8984, 5920, 540, 519, 861, 874, 4106, 545, 16663, 568, 513, 15454, 880, 267, 6067, 6470, 3068, 269, 1703, 616, 2620, 535, 1170, 999, 267, 2523, 538, 519, 17534, 282, 11926, 543, 522, 539, 9047, 540, 519, 3068, 538, 519, 840, 2389, 21310, 4788, 2550, 267, 538, 519, 6640, 1310, 24971, 543, 1310, 513, 23040, 269, 631, 3421, 949, 581, 513, 23314, 540, 2901, 519, 861, 874, 4106, 545, 610, 861, 322, 5328, 2589, 563, 1103, 519, 905, 951, 540, 519, 16321, 4788, 3461, 519, 3068, 568, 12779, 267, 609, 4931, 30533, 539, 25017, 593, 519, 32336, 321, 2158, 282, 538, 519, 6640, 519, 3068, 568, 7920, 569, 12779, 269, 634, 1453, 609, 607, 1506, 15454, 8188, 543, 519, 5920, 540, 2261, 11047, 639, 616, 10416, 861, 874, 4106, 545, 269, 634, 861, 874, 4106, 545, 16663, 30001, 711, 1152, 519, 8031, 267, 855, 621, 30001, 849, 519, 1379, 540, 519, 1560, 547, 15849, 30968, 519, 1697, 2326, 689, 1426, 269, 2201, 519, 824, 1688, 267, 519, 16321, 4788, 1126, 949, 581, 726, 2794, 267, 609, 513, 3043, 267, 2312, 2960, 543, 1279, 267, 4190, 3623, 5652, 22442, 10449, 269, 769, 891, 1453, 519, 3068, 543, 543, 827, 519, 1394, 540, 519, 8405, 1086, 335, 790, 11884, 563, 1103, 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 ]

[ 5348, 8985, 609, 2539, 5179, 11409, 538, 519, 5887, 1537, 28712, 269, 4107, 540, 873, 786, 3444, 547, 519, 733, 1537, 8632, 2427, 540, 519, 10260, 630, 16129, 519, 18751, 3043, 862, 1170, 675, 264, 1175, 1354, 5348, 2355, 532, 563, 8489, 798, 519, 29416, 2214, 1400, 11103, 5463, 1380, 622, 888, 1306, 519, 29416, 2214, 1400, 8778, 12599, 1524, 519, 2634, 6565, 267, 513, 5354, 540, 922, 11103, 1232, 1380, 622, 547, 519, 733, 1537, 8632, 2427, 1369, 519, 1199, 1638, 320, 1287, 5170, 547, 2951, 1524, 519, 11983, 10260, 547, 1683, 7961, 3569, 547, 519, 30218, 17119, 885, 543, 4887, 2516, 563, 8489, 616, 2539, 5179, 11409, 888, 299, 1077, 16359, 3026, 584, 976, 269, 13722, 30400, 1591, 4703, 616, 4092, 538, 1808, 22140, 538, 519, 2634, 980, 607, 1134, 607, 538, 519, 5887, 1537, 18057, 540, 519, 11983, 10260, 543, 4061, 267, 7567, 5580, 631, 28213, 267, 616, 23928, 1369, 519, 595, 10064, 269, 634, 7415, 8984, 540, 2539, 631, 28213, 568, 741, 4949, 4689, 10137, 543, 4276, 3544, 540, 519, 595, 10064, 563, 1432, 568, 519, 2539, 5179, 22813, 888, 763, 2539, 5179, 22813, 630, 299, 300, 301, 264, 568, 519, 2498, 5166, 22813, 540, 519, 15672, 8401, 1062, 630, 303, 10064, 264, 602, 13462, 519, 3844, 8401, 1062, 630, 290, 10064, 264, 609, 519, 4887, 547, 581, 7961, 969, 730, 563, 6701, 2539, 5179, 11409, 13470, 10537, 888, 763, 13470, 10537, 1062, 568, 513, 1079, 22813, 1062, 9967, 540, 5580, 5179, 11409, 538, 519, 12729, 16359, 23634, 1410, 543, 2539, 5179, 11409, 538, 519, 18751, 18057, 540, 519, 11983, 10260, 269, 3962, 540, 891, 11409, 723, 5393, 1279, 4949, 976, 269, 634, 4949, 976, 540, 519, 29416, 2214, 1400, 8778, 519, 7873, 1619, 547, 1106, 519, 26829, 563, 8489, 616, 2539, 5179, 11409, 4092, 888, 6701, 2539, 5179, 11409, 851, 540, 519, 623, 10064, 888, 8489, 616, 519, 2539, 5179, 11409, 30838, 301, 585, 519, 29416, 2214, 1400, 8778, 338, 4092, 888, 763, 8778, 1287, 1784, 1742, 538, 519, 14694, 1187, 10306, 639, 2059, 519, 3003, 11983, 10260, 267, 5348, 2355, 532, 609, 2034, 19195, 267, 2539, 5179, 11409, 630, 299, 300, 301, 264, 538, 519, 5887, 1537, 18057, 693, 1142, 1377, 540, 519, 11983, 10260, 269, 0, 8489, 1281, 15535, 15196, 323, 4001, 888, 294, 2958, 15196, 323, 1631, 11414, 693, 5975, 3559, 2160, 593, 606, 7755, 9417, 4493, 269, 769, 476, 1960, 273, 15196, 323, 1071, 1922, 15903, 8381, 1633, 22193, 5783, 563, 1432, 568, 519, 1448, 540, 519, 1650, 540, 16763, 888, 763, 1292, 1448, 540, 519, 1433, 540, 16763, 568, 602, 8614, 327, 990, 1695, 2696, 2760, 4255, 721, 538, 3983, 2081, 267, 855, 1261, 1281, 3006, 1450, 3983, 1919, 547, 4755, 585, 513, 2601, 269, 4438, 971, 8062, 649, 723, 519, 4316, 547, 6166, 938, 5132, 538, 519, 2696, 649, 3409, 547, 10847, 267, 610, 649, 666, 798, 1018, 30616, 6499, 721, 547, 798, 1107, 2490, 2476, 689, 938, 29763, 563, 8005, 3361, 16763, 779, 7092, 888, 2691, 602, 8959, 267, 2696, 25009, 30616, 547, 979, 2417, 267, 1256, 547, 2800, 16763, 267, 855, 547, 22302, 1010, 1272, 269, 1924, 267, 30616, 5645, 856, 2696, 779, 5528, 538, 1142, 2013, 267, 855, 621, 729, 2696, 945, 2731, 3361, 713, 1390, 7092, 563, 1432, 729, 16763, 3413, 21719, 609, 888, 25823, 534, 5526, 538, 13140, 1586, 267, 543, 2696, 14828, 1864, 1776, 4960, 547, 1449, 16763, 269, 901, 942, 267, 16763, 568, 3413, 21719, 609, 29695, 2960, 21399, 269, 3571, 7385, 7512, 1864, 547, 31169, 2696, 543, 547, 2285, 909, 543, 5884, 267, 855, 16763, 31439, 267, 10010, 547, 3398, 1010, 6381, 563, 20062, 2969, 11298, 1930, 519, 1235, 3494, 888, 15411, 634, 1143, 568, 519, 5098, 602, 267, 1317, 2696, 14560, 721, 543, 13821, 602, 649, 11884, 3442, 547, 25262, 622, 3571, 2648, 267, 1261, 814, 1500, 3571, 1702, 540, 267, 543, 4566, 585, 267, 519, 2104, 19585, 2390, 938, 3527, 269, 9282, 9631, 23036, 2615, 267, 2696, 1281, 711, 917, 1018, 649, 786, 11884, 798, 538, 519, 2104, 563, 1432, 1614, 1919, 616, 3144, 689, 2816, 888, 1103, 519, 1101, 1614, 18627, 649, 1451, 513, 2603, 827, 519, 812, 3957, 16763, 912, 268, 16763, 729, 513, 1825, 591, 538, 2696, 543, 1185, 513, 2078, 609, 13924, 563, 268, 16763, 729, 513, 14547, 812, 269, 32100, 729, 6027, 676, 519, 2179, 540, 12418, 543, 2244, 513, 812, 1185, 563, 268, 16763, 729, 25552, 269, 1261, 729, 513, 812, 540, 968, 704, 2739, 8699, 892, 630, 18661, 28197, 713, 538, 642, 563, 1432, 2244, 1705, 16763, 2661, 888, 27455, 540, 772, 345, 454, 763, 2244, 540, 772, 345, 630, 3891, 11119, 281, 13913, 494, 402, 370, 29645, 402, 370, 403, 354, 402, 378, 403, 351, 25149, 32679, 403, 354, 1107, 30379, 378, 699, 23973, 268, 390, 379, 385, 359, 23973, 264, 568, 513, 4087, 5018, 538, 519, 6196, 11620, 267, 1034, 30326, 538, 519, 3883, 540, 16763, 267, 799, 5956, 267, 968, 2467, 729, 513, 812, 538, 519, 2244, 540, 772, 345, 267, 4171, 2012, 729, 16763, 9731, 24078, 16763, 513, 682, 704, 888, 295, 2459, 600, 15718, 344, 889, 729, 7620, 1572, 968, 1492, 2274, 704, 779, 24872, 5608, 855, 519, 682, 704, 729, 2663, 4857, 609, 16763, 282, 519, 7404, 5614, 267, 1631, 513, 1216, 6420, 267, 568, 1634, 607, 589, 514, 15718, 889, 267, 968, 297, 984, 779, 11354, 9731, 1432, 568, 22111, 1364, 775, 888, 18661, 568, 19988, 543, 607, 513, 1267, 540, 1010, 19988, 4341, 1765, 515, 1754, 985, 782, 1919, 2687, 547, 1010, 1364, 775, 269, 18564, 875, 6754, 6941, 713, 538, 14564, 476, 1556, 281, 3607, 281, 1280, 689, 1864, 543, 998, 1864, 543, 547, 1864, 616, 782, 1919, 269, 1677, 1864, 581, 18710, 11014, 563, 8005, 3323, 1930, 519, 1143, 888, 4942, 3342, 14279, 540, 4984, 971, 607, 589, 269, 715, 269, 13405, 267, 808, 269, 681, 269, 12359, 553, 267, 8834, 2983, 778, 267, 9400, 4210, 514, 10767, 928, 267, 543, 9400, 623, 4669, 650, 1185, 23647, 7046, 634, 1143, 538, 741, 12591, 1991, 547, 713, 4266, 267, 1498, 711, 896, 602, 2012, 267, 543, 19676, 1185, 3370, 513, 960, 7620, 13886, 634, 7046, 1145, 540, 2696, 538, 476, 2735, 271, 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 ]

[ 1634, 585, 922, 28677, 6149, 8115, 563, 268, 13812, 281, 2755, 711, 513, 7320, 15395, 267, 13642, 19835, 5244, 568, 1753, 547, 1585, 5017, 543, 7320, 267, 1818, 621, 513, 2442, 5544, 585, 6177, 342, 520, 7129, 543, 2470, 12439, 269, 1411, 949, 7237, 25277, 267, 26414, 267, 543, 824, 1507, 2831, 607, 596, 2263, 519, 6288, 563, 268, 30482, 28046, 281, 634, 6288, 2488, 3875, 16351, 3255, 267, 1519, 5026, 4610, 267, 19209, 338, 267, 543, 5624, 585, 17552, 333, 923, 543, 3046, 13069, 1132, 269, 898, 779, 513, 1390, 1747, 585, 1920, 856, 902, 267, 5026, 2238, 267, 543, 1514, 19771, 563, 268, 8535, 19270, 6847, 281, 28210, 693, 519, 2295, 540, 519, 6288, 267, 519, 8535, 19270, 6847, 568, 513, 4190, 1930, 2230, 10023, 519, 4993, 9142, 540, 7070, 543, 519, 632, 8479, 7467, 269, 634, 1858, 1419, 14747, 9205, 30145, 543, 2686, 2621, 563, 268, 3203, 543, 9177, 281, 634, 6288, 568, 1753, 547, 1896, 15882, 543, 2686, 5238, 267, 1519, 519, 632, 8479, 7467, 267, 519, 4993, 9142, 540, 7070, 267, 543, 519, 20271, 2218, 540, 26540, 269, 1452, 28503, 2709, 513, 2039, 540, 1148, 267, 2257, 267, 543, 2686, 15225, 563, 268, 15638, 543, 14080, 11040, 281, 10801, 519, 1032, 267, 13642, 19835, 5244, 14747, 1585, 2621, 543, 15976, 267, 971, 607, 519, 31072, 14924, 8535, 543, 8551, 16635, 267, 10434, 569, 853, 2774, 569, 9791, 24124, 267, 543, 811, 269, 1452, 2621, 2721, 1004, 689, 782, 936, 519, 2197, 585, 2661, 2575, 543, 9913, 563, 268, 29303, 543, 645, 10884, 281, 634, 6288, 779, 3060, 540, 18162, 543, 11444, 568, 3501, 585, 6972, 267, 28185, 3101, 267, 610, 15203, 269, 1411, 666, 2263, 519, 3003, 6288, 593, 3723, 610, 11332, 1247, 2921, 538, 519, 5898, 540, 922, 3309, 8916, 563, 268, 13458, 995, 4825, 805, 281, 15332, 922, 16351, 543, 2686, 18845, 267, 13642, 19835, 5244, 568, 513, 1747, 585, 9602, 31658, 543, 11005, 269, 898, 3091, 3875, 22471, 559, 9634, 267, 689, 519, 9956, 12567, 547, 519, 4414, 6229, 717, 17311, 267, 1141, 596, 666, 9101, 519, 2749, 779, 554, 755, 548, 543, 11861, 548, 563, 20112, 523, 19835, 5244, 568, 513, 2067, 543, 2686, 17576, 538, 5842, 12770, 267, 5356, 1945, 585, 3025, 267, 689, 1346, 5275, 9205, 7045, 547, 1346, 3168, 585, 513, 12560, 18956, 538, 519, 2295, 540, 519, 2749, 269, 0, 1432, 616, 519, 2489, 4162, 540, 838, 5535, 5017, 286, 6176, 827, 838, 5535, 2010, 267, 6609, 267, 8023, 543, 2713, 7226, 540, 838, 541, 4900, 563, 9915, 2752, 4629, 310, 267, 1022, 540, 1079, 1804, 2516, 540, 1507, 5152, 18346, 602, 2661, 6140, 593, 610, 2282, 519, 2666, 543, 616, 1336, 2429, 1034, 540, 519, 22465, 4525, 540, 519, 1158, 269, 590, 1706, 4900, 616, 2356, 827, 476, 276, 547, 476, 279, 6279, 630, 1724, 268, 736, 4699, 264, 1279, 543, 15866, 6960, 880, 543, 1792, 8898, 269, 1358, 3006, 723, 15649, 540, 9221, 18133, 267, 3109, 267, 610, 5835, 269, 1358, 723, 598, 673, 12014, 9862, 585, 4189, 5452, 563, 289, 8674, 540, 1079, 1360, 3982, 3885, 616, 11821, 896, 519, 2012, 968, 338, 1706, 992, 1848, 2290, 1895, 267, 5065, 547, 519, 6196, 2622, 267, 616, 649, 11232, 1710, 2583, 540, 519, 1920, 1773, 334, 576, 13160, 269, 634, 24819, 2296, 267, 610, 2777, 267, 838, 5535, 543, 922, 14077, 4866, 547, 713, 1920, 269, 634, 824, 1895, 267, 5065, 547, 1312, 519, 6196, 543, 1715, 2622, 338, 267, 1118, 909, 519, 1710, 577, 1016, 26967, 2506, 828, 714, 2088, 324, 269, 634, 2489, 11696, 28917, 540, 519, 3345, 1977, 13222, 540, 519, 2506, 828, 714, 2088, 324, 3366, 519, 2038, 3864, 13896, 538, 3345, 3013, 547, 1289, 873, 838, 541, 4900, 563, 763, 968, 25152, 892, 838, 541, 4900, 616, 5065, 547, 2342, 267, 5607, 267, 543, 4000, 269, 634, 6093, 2818, 4866, 547, 519, 12593, 10426, 518, 267, 540, 799, 972, 616, 827, 476, 1321, 2249, 269, 1358, 2356, 1628, 513, 2864, 2150, 573, 344, 267, 5895, 983, 9566, 267, 9112, 540, 6371, 610, 12450, 267, 538, 513, 3529, 267, 17382, 267, 610, 11903, 269, 1879, 2713, 1472, 8075, 610, 538, 22586, 2197, 267, 789, 949, 8806, 8631, 513, 13570, 609, 519, 21224, 1570, 563, 763, 2777, 838, 5535, 630, 27879, 518, 6469, 639, 264, 568, 513, 6093, 4759, 540, 519, 12593, 269, 901, 15483, 344, 2370, 6177, 2729, 6707, 538, 519, 3552, 267, 855, 4667, 547, 4782, 519, 8378, 540, 812, 267, 543, 814, 1044, 1098, 680, 5896, 2429, 519, 22465, 4525, 540, 519, 1158, 269, 898, 729, 5189, 538, 3345, 3013, 693, 27201, 267, 715, 269, 962, 1421, 538, 476, 6977, 271, 543, 476, 6977, 273, 547, 8396, 519, 666, 12027, 19095, 602, 1185, 1831, 10860, 538, 12094, 4054, 269, 1280, 930, 1296, 519, 2777, 838, 5535, 729, 16876, 7361, 547, 519, 4872, 540, 519, 9533, 5032, 267, 855, 676, 476, 5002, 271, 621, 1185, 22983, 519, 2898, 11782, 267, 519, 3312, 1906, 8536, 2348, 2799, 547, 6634, 269, 769, 519, 2777, 838, 5535, 267, 519, 12457, 880, 6960, 4775, 568, 1454, 20585, 518, 982, 519, 5256, 267, 799, 568, 9221, 18133, 593, 519, 562, 1901, 543, 814, 513, 3109, 536, 756, 563, 5194, 6093, 4759, 540, 713, 12593, 568, 519, 3529, 838, 5535, 630, 303, 269, 1395, 11927, 639, 1070, 799, 568, 1572, 3864, 3529, 838, 5535, 538, 3013, 547, 10646, 621, 689, 519, 20775, 5065, 3529, 838, 5535, 630, 8967, 714, 7578, 818, 321, 648, 320, 1040, 623, 269, 1395, 11927, 639, 568, 5065, 547, 2342, 543, 5607, 267, 1141, 621, 14981, 30109, 538, 29990, 4525, 267, 855, 621, 1932, 729, 5189, 538, 3345, 3013, 267, 543, 14981, 538, 5884, 25610, 540, 853, 269, 8402, 267, 7720, 269, 769, 519, 3864, 3529, 838, 5535, 267, 519, 28486, 616, 7567, 267, 609, 513, 6505, 9221, 18133, 13862, 267, 513, 3109, 536, 756, 267, 543, 513, 17736, 545, 6681, 3109, 5544, 593, 519, 3043, 32336, 3297, 519, 3750, 563, 4322, 616, 513, 1454, 3677, 1895, 982, 519, 838, 541, 4900, 540, 519, 12593, 10426, 518, 543, 1331, 930, 5702, 1644, 2516, 267, 971, 607, 519, 6287, 515, 525, 543, 15118, 6523, 267, 538, 799, 519, 4806, 540, 519, 20034, 720, 568, 711, 1792, 8898, 610, 838, 5535, 3697, 269, 1977, 838, 541, 4900, 616, 5702, 1644, 547, 519, 1207, 660, 902, 540, 519, 6196, 2622, 543, 616, 538, 519, 1482, 1920, 563, 763, 6093, 1977, 838, 5535, 568, 519, 5152, 838, 5535, 630, 27839, 2214, 21289, 5283, 17377, 1070, 799, 14981, 12303, 2429, 3345, 3013, 267, 1419, 21224, 2282, 8075, 269, 898, 9775, 10169, 538, 32442, 689, 3148, 547, 3148, 267, 855, 2356, 814, 5230, 6960, 1792, 6545, 543, 513, 1804, 5544, 593, 519, 6089, 269, 589, 6177, 540, 1490, 639, 1506, 3382, 543, 19211, 267, 621, 568, 513, 10770, 22256, 267, 609, 513, 9867, 5152, 602, 2356, 6238, 609, 1614, 9838, 4967, 269, 634, 5152, 568, 9447, 689, 606, 11506, 829, 577, 543, 568, 835, 540, 519, 1101, 4862, 538, 519, 5614, 269, 4634, 1282, 519, 5162, 519, 5152, 838, 5535, 568, 4862, 538, 5618, 2879, 520, 2583, 540, 5152, 593, 13566, 2395, 563, 8448, 1134, 8153, 1977, 838, 541, 4900, 616, 519, 3043, 6253, 549, 730, 838, 5535, 630, 313, 517, 582, 5341, 807, 11549, 545, 3326, 529, 1070, 1336, 538, 519, 9456, 2136, 2276, 543, 7178, 547, 29131, 543, 23497, 267, 543, 922, 2673, 3448, 519, 3043, 2275, 27547, 838, 5535, 630, 313, 269, 682, 1075, 2684, 686, 329, 338, 1070, 799, 14981, 538, 519, 7262, 2136, 2276, 543, 538, 27040, 4516, 269, 1452, 1079, 1804, 5017, 723, 513, 1360, 24886, 4806, 540, 12457, 543, 6960, 267, 513, 3109, 13862, 17736, 545, 28204, 1792, 8898, 609, 6777, 3043, 267, 543, 513, 4190, 27674, 633, 5152, 269, 634, 3043, 6253, 549, 730, 838, 5535, 15320, 689, 519, 3043, 2275, 27547, 538, 2348, 513, 4158, 3915, 267, 513, 3043, 11563, 267, 543, 513, 5835, 5544, 538, 4395, 540, 519, 3750, 563, 10521, 4130, 543, 1360, 546, 664, 1399, 2249, 267, 1336, 30109, 538, 519, 9456, 2136, 2276, 267, 616, 519, 669, 6235, 838, 5535, 630, 8967, 714, 7578, 1780, 518, 2088, 264, 543, 519, 2361, 838, 5535, 630, 306, 269, 10669, 8759, 1040, 5637, 2249, 723, 513, 9221, 18133, 13862, 855, 8428, 538, 519, 2681, 540, 519, 3915, 267, 799, 568, 6505, 11909, 538, 519, 2361, 838, 5535, 543, 3109, 880, 538, 519, 669, 6235, 838, 5535, 269, 634, 8545, 2588, 1562, 513, 27865, 517, 748, 3126, 540, 2110, 267, 3819, 4967, 7368, 865, 6385, 607, 547, 581, 3592, 513, 959, 650, 269, 1809, 519, 5152, 540, 519, 2361, 838, 5535, 568, 5310, 519, 1034, 4190, 540, 782, 519, 1977, 838, 541, 4900, 267, 9967, 540, 513, 1279, 3126, 540, 2312, 267, 10398, 532, 4967, 602, 4473, 543, 2887, 543, 28201, 856, 7930, 563, 8448, 1271, 1977, 838, 541, 4900, 616, 519, 15798, 728, 838, 5535, 630, 8649, 4380, 21289, 2261, 527, 9874, 1070, 513, 1951, 321, 267, 12457, 6177, 540, 519, 6070, 23047, 1127, 540, 519, 9533, 5032, 282, 519, 9390, 838, 5535, 630, 8649, 874, 7371, 21289, 21536, 710, 1092, 264, 540, 519, 7262, 24301, 267, 799, 568, 13417, 516, 8898, 543, 4174, 330, 5944, 6825, 609, 513, 3109, 11563, 543, 2312, 6089, 282, 543, 519, 7187, 4104, 16541, 838, 5535, 630, 303, 21692, 20255, 476, 8270, 20403, 1070, 519, 4102, 540, 782, 1977, 838, 541, 4900, 267, 609, 513, 1286, 565, 532, 5152, 540, 5283, 617, 1190, 4967, 269, 2353, 519, 1977, 838, 541, 4900, 1628, 606, 1930, 7484, 9566, 540, 6371, 267, 21263, 267, 5072, 267, 610, 3762, 267, 543, 2482, 2185, 610, 2947, 5798, 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 ]

[ 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, 273, 269, 273, 634, 21478, 540, 20484, 11518, 619, 593, 519, 4518, 540, 23415, 20198, 267, 25599, 11089, 267, 543, 23720, 692, 1103, 713, 3296, 267, 649, 786, 2263, 519, 7096, 1764, 602, 10564, 20484, 11518, 619, 1185, 593, 519, 960, 540, 3627, 23415, 20198, 267, 3798, 25599, 11089, 267, 543, 9478, 23720, 269, 9282, 891, 2185, 5515, 949, 711, 7620, 3100, 4448, 267, 789, 941, 782, 851, 540, 513, 7524, 7499, 2146, 593, 519, 8053, 699, 344, 18686, 1282, 519, 2038, 14206, 2540, 269, 8625, 267, 789, 2919, 513, 2189, 11100, 540, 2257, 267, 3332, 267, 543, 6138, 602, 5170, 547, 8300, 5159, 543, 17024, 2221, 780, 21659, 8657, 11518, 619, 630, 6642, 278, 268, 3422, 273, 264, 729, 606, 1977, 10564, 945, 6591, 21239, 538, 519, 476, 4572, 271, 338, 585, 1010, 22880, 267, 796, 4148, 514, 4221, 26007, 540, 519, 2067, 1158, 543, 1480, 2470, 269, 3571, 6965, 1419, 12286, 12667, 11673, 540, 519, 27726, 4993, 23795, 267, 607, 1134, 607, 1199, 14591, 593, 4798, 971, 607, 2648, 267, 2669, 267, 543, 519, 7814, 673, 2470, 540, 942, 269, 3509, 540, 1010, 9954, 849, 8659, 2178, 2825, 626, 6835, 267, 28409, 3988, 547, 2463, 543, 2149, 519, 2067, 1158, 780, 3080, 540, 519, 1034, 1713, 2081, 602, 11518, 619, 6766, 23415, 20198, 267, 25599, 11089, 267, 543, 23720, 729, 998, 1010, 8561, 593, 519, 25872, 540, 782, 1919, 269, 901, 2856, 267, 799, 11518, 619, 5219, 547, 607, 834, 1492, 9322, 540, 782, 1919, 2437, 666, 581, 2938, 2429, 1010, 6965, 269, 1280, 1383, 267, 538, 1010, 6648, 834, 763, 8382, 2437, 646, 11339, 1384, 18204, 31772, 568, 627, 565, 8864, 267, 519, 6574, 5898, 568, 454, 16391, 545, 627, 565, 8864, 267, 519, 627, 565, 8864, 540, 1272, 543, 1919, 267, 519, 10143, 5898, 540, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 16631, 2725, 1115, 9085, 593, 519, 8053, 699, 344, 18686, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 273, 269, 634, 23415, 20198, 7304, 1157, 11089, 4211, 2086, 10428, 4276, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 273, 269, 272, 269, 634, 5870, 540, 3627, 543, 8349, 23415, 20198, 267, 3798, 25599, 11089, 267, 543, 9478, 23720, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 273, 269, 273, 269, 634, 3310, 540, 20484, 11518, 619, 593, 741, 960, 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, 6092, 5149, 281, 634, 476, 4343, 628, 23155, 27079, 18366, 910, 589, 6206, 28850, 538, 519, 11114, 2782, 692, 8702, 267, 1762, 12206, 256, 4653, 267, 596, 786, 1451, 827, 606, 1271, 2680, 1282, 519, 12019, 2782, 1572, 519, 11114, 2782, 269, 901, 2112, 729, 10692, 1063, 1079, 2477, 1107, 3345, 9705, 630, 26625, 9285, 676, 3624, 543, 519, 8168, 5742, 264, 543, 3162, 9705, 630, 26625, 9285, 676, 519, 2136, 8315, 543, 3366, 676, 519, 2136, 2276, 1040, 2913, 781, 4685, 883, 713, 4241, 1974, 540, 1686, 1927, 2439, 5575, 267, 1577, 781, 1174, 1141, 713, 4655, 3576, 1747, 269, 5994, 5373, 513, 1899, 2066, 513, 4786, 267, 12270, 9705, 883, 1079, 30556, 269, 2334, 16494, 1899, 568, 1018, 1004, 1289, 519, 476, 4343, 628, 6252, 269, 898, 2968, 513, 8473, 1310, 2622, 2782, 4083, 950, 9705, 729, 8237, 883, 1079, 5094, 6082, 1813, 547, 2797, 3604, 1063, 519, 5087, 543, 5045, 269, 3345, 9705, 7550, 25399, 1247, 3162, 9705, 17947, 9111, 269, 4004, 1143, 11099, 602, 3025, 538, 2486, 1058, 723, 3160, 5763, 267, 543, 972, 12582, 1405, 581, 4357, 3959, 269, 22640, 2636, 4961, 547, 8917, 585, 741, 3401, 543, 14014, 1367, 2924, 899, 26539, 2123, 28378, 780, 3086, 267, 4952, 1373, 5143, 602, 596, 666, 1100, 3476, 2661, 609, 707, 1920, 2818, 1175, 1317, 789, 5030, 593, 519, 824, 2427, 540, 602, 15865, 1899, 269, 19198, 941, 14324, 6306, 267, 8572, 547, 1294, 1142, 824, 1586, 269, 4658, 945, 1031, 547, 2671, 5389, 267, 1426, 267, 543, 2984, 10393, 1336, 2933, 2713, 538, 4625, 1114, 10600, 269, 901, 6498, 2813, 8082, 543, 5134, 6412, 1851, 6401, 753, 799, 5555, 3366, 547, 513, 15265, 2112, 780, 763, 11114, 2782, 13166, 3323, 593, 4873, 476, 1839, 267, 476, 4198, 271, 267, 950, 3345, 9705, 22983, 3162, 9705, 267, 15385, 519, 476, 4343, 628, 6252, 8473, 269, 4256, 3804, 286, 1677, 796, 1518, 9705, 896, 21340, 4341, 269, 1809, 1082, 3162, 6401, 753, 4769, 1405, 1616, 547, 1246, 25399, 282, 789, 4941, 547, 1832, 741, 11180, 1259, 540, 1272, 269, 1306, 513, 1267, 267, 5518, 16452, 590, 269, 32457, 4956, 602, 3013, 1131, 948, 9718, 3162, 9705, 1996, 922, 7187, 26490, 528, 269, 1261, 4280, 519, 9241, 4646, 2136, 8315, 952, 789, 1131, 6443, 1864, 269, 3509, 6167, 4759, 2477, 8815, 267, 11488, 10136, 543, 7727, 547, 5351, 3162, 9705, 780, 7628, 891, 2053, 267, 1776, 3532, 6205, 3957, 9478, 23237, 12199, 936, 519, 8168, 5742, 269, 1261, 6462, 3345, 9705, 267, 15691, 547, 3262, 25399, 2429, 5607, 269, 11531, 267, 4457, 6205, 31474, 2098, 539, 784, 849, 20483, 3345, 9705, 267, 4250, 532, 602, 2475, 4229, 1522, 1205, 1932, 2673, 547, 3624, 781, 10665, 269, 1924, 267, 1256, 1498, 519, 1292, 4339, 8604, 547, 4755, 1152, 1063, 3345, 543, 3162, 9705, 267, 713, 2112, 2965, 3238, 1896, 2101, 7060, 780, 3080, 1713, 4090, 1282, 519, 11114, 2782, 3357, 1318, 693, 922, 4098, 269, 4937, 19958, 5839, 6635, 11037, 267, 3056, 519, 6167, 4229, 267, 9709, 513, 29412, 1847, 1634, 607, 519, 769, 577, 517, 8092, 532, 269, 5502, 540, 22215, 2786, 689, 519, 4395, 6050, 2282, 519, 476, 274, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 604, 1399, 3967, 340, 2456, 3516, 267, 896, 513, 23080, 573, 3141, 543, 8015, 15280, 12798, 267, 3627, 674, 269, 17394, 2220, 648, 519, 522, 987, 602, 1169, 7022, 1185, 3144, 2094, 476, 9965, 280, 543, 1287, 9447, 835, 540, 519, 1034, 12300, 22305, 1116, 9607, 538, 519, 1977, 17374, 269, 968, 2171, 7747, 2221, 711, 513, 11802, 540, 5428, 855, 513, 11812, 540, 5191, 2223, 519, 476, 3374, 628, 7022, 3459, 269, 2991, 15663, 602, 968, 1492, 1158, 568, 1360, 1114, 1631, 892, 689, 519, 1158, 540, 519, 13368, 619, 1317, 968, 2006, 6585, 538, 1010, 6180, 531, 3946, 519, 1379, 547, 13373, 880, 782, 3029, 540, 1480, 6710, 543, 782, 3029, 540, 1480, 1272, 2223, 646, 9307, 602, 968, 1492, 23290, 814, 1044, 5293, 547, 513, 1007, 5108, 540, 4892, 892, 543, 1500, 519, 32410, 602, 814, 16079, 539, 2479, 2094, 281, 968, 4131, 1169, 4182, 917, 267, 2436, 621, 16858, 721, 1134, 610, 2192, 267, 602, 649, 4927, 2628, 1022, 3902, 267, 7703, 1022, 11411, 267, 2743, 1022, 27465, 267, 1489, 1022, 3659, 267, 28586, 1022, 535, 4141, 547, 26924, 519, 6668, 543, 1967, 540, 15698, 3034, 5475, 1167, 2293, 532, 593, 519, 2591, 540, 16701, 21899, 14000, 543, 2068, 543, 519, 13766, 540, 2518, 9316, 538, 519, 2014, 540, 4708, 267, 646, 10294, 512, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4343, 628, 23155, 27079, 18366, 257, 607, 851, 540, 834, 19615, 1315, 12668, 1299, 4762, 26555, 1315, 11114, 2782, 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, 277, 281, 29923, 10222, 6874, 760, 26943, 2435, 5548, 2074, 281, 589, 18043, 6651, 547, 19369, 267, 18181, 9828, 267, 543, 3057, 514, 3547, 692, 296, 269, 4985, 692, 31590, 2389, 760, 267, 849, 1634, 607, 13244, 12756, 2848, 752, 267, 568, 513, 11684, 543, 29316, 2759, 540, 5779, 6508, 689, 519, 5377, 27205, 5979, 514, 2215, 531, 3296, 540, 14132, 12418, 269, 901, 2189, 21083, 4887, 6799, 11477, 5159, 609, 606, 5140, 4316, 547, 1711, 632, 937, 762, 6980, 6353, 676, 741, 3638, 6492, 543, 17598, 9403, 269, 769, 713, 3184, 267, 938, 1445, 562, 541, 4900, 1524, 547, 3695, 1585, 2261, 514, 1228, 3681, 4481, 2966, 585, 7393, 519, 2298, 543, 521, 2948, 1465, 540, 2468, 2389, 760, 11912, 1282, 5986, 269, 5047, 267, 5490, 883, 1898, 3344, 4478, 7041, 2409, 267, 5227, 5210, 267, 543, 942, 14604, 950, 2502, 538, 519, 1148, 540, 7296, 2468, 2389, 760, 780, 2862, 269, 4197, 7756, 26505, 540, 10222, 6874, 2354, 692, 6524, 25054, 593, 513, 3460, 2509, 13215, 3501, 2261, 514, 3547, 543, 6099, 5986, 2175, 267, 621, 781, 2629, 1101, 547, 1174, 519, 1114, 6163, 540, 2468, 2389, 2354, 2139, 1759, 593, 741, 5169, 543, 5888, 269, 10021, 3320, 267, 972, 2291, 1079, 1292, 6688, 540, 2468, 2389, 2354, 281, 2142, 1030, 10222, 6874, 760, 543, 623, 1251, 10222, 6874, 760, 269, 3962, 1826, 15225, 3982, 4162, 12018, 4998, 2261, 1588, 2409, 543, 9053, 5986, 2053, 780, 288, 264, 2142, 1030, 10222, 6874, 760, 692, 265, 7880, 7149, 689, 519, 5377, 27205, 5979, 514, 1016, 1440, 2711, 1858, 454, 265, 10886, 1242, 676, 922, 6906, 3337, 543, 5266, 1507, 2450, 630, 20200, 1227, 20604, 1063, 476, 272, 269, 276, 268, 274, 6550, 994, 265, 1230, 13935, 21464, 3170, 3892, 267, 799, 8309, 3648, 547, 922, 7347, 8137, 9043, 2390, 5986, 454, 265, 10671, 2231, 5111, 476, 1789, 3764, 829, 11013, 693, 513, 5812, 2837, 540, 476, 18597, 13790, 950, 1373, 28655, 692, 289, 264, 623, 1251, 10222, 6874, 760, 692, 265, 5136, 22633, 689, 14918, 262, 13105, 3148, 454, 265, 10705, 4130, 982, 922, 14132, 11218, 267, 2356, 20604, 1472, 476, 272, 268, 272, 269, 276, 6550, 454, 265, 13575, 10709, 518, 609, 1447, 703, 1090, 31100, 3170, 267, 26089, 6297, 7829, 547, 2061, 15018, 856, 1282, 5986, 3157, 454, 265, 30003, 7296, 8653, 8813, 1369, 519, 2039, 540, 476, 1789, 268, 2412, 3764, 829, 11013, 693, 476, 18597, 13790, 692, 7656, 269, 11957, 540, 29922, 10866, 3057, 514, 3547, 585, 24046, 4469, 822, 832, 692, 11321, 3215, 16469, 814, 1044, 13736, 2066, 4529, 2429, 1686, 267, 7674, 2789, 5301, 971, 607, 5355, 31926, 267, 4946, 6988, 547, 10366, 267, 543, 17420, 1996, 1761, 1426, 13871, 10108, 1813, 547, 13385, 5986, 2853, 269, 1306, 971, 267, 6220, 3617, 2261, 514, 3547, 3358, 12799, 547, 707, 6074, 3940, 2707, 4249, 513, 1713, 1909, 538, 4180, 3811, 4093, 538, 1022, 8670, 10023, 2468, 2389, 760, 3334, 780, 4353, 269, 14958, 532, 26758, 3057, 514, 3547, 281, 12708, 15689, 1299, 19047, 692, 2414, 25666, 2500, 2261, 514, 3547, 5827, 540, 6173, 908, 2468, 2389, 760, 8286, 267, 2015, 10128, 891, 4909, 2609, 1384, 288, 264, 3600, 7190, 692, 265, 8871, 4925, 15059, 540, 5946, 3056, 547, 2799, 31926, 454, 265, 6201, 1331, 20521, 5613, 630, 12661, 976, 267, 561, 1307 ]

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

[ 0, 6624, 540, 1346, 1510, 519, 2556, 2200, 543, 7460, 4058, 7207, 723, 796, 3772, 569, 7550, 519, 968, 342, 7159, 7146, 3620, 2100, 892, 1935, 563, 1103, 519, 2063, 1079, 1296, 267, 972, 568, 606, 2333, 538, 3906, 8600, 2933, 585, 519, 2009, 14798, 630, 22381, 264, 6855, 12176, 563, 5278, 3906, 1289, 621, 6855, 2770, 7460, 1544, 1247, 1866, 1289, 621, 6855, 2770, 20314, 1890, 1544, 563, 2690, 27792, 267, 930, 540, 519, 8847, 543, 2165, 514, 3098, 540, 519, 3334, 540, 891, 4566, 616, 5941, 538, 519, 1739, 1016, 21827, 563, 4913, 267, 519, 2487, 7835, 543, 8906, 827, 519, 3644, 1683, 930, 10881, 607, 547, 1018, 649, 666, 2503, 563, 13328, 2657, 9257, 814, 19230, 602, 519, 1981, 540, 519, 26624, 2770, 4742, 513, 1480, 14798, 6855, 568, 1164, 269, 0, 18550, 476, 2918, 267, 476, 1708, 271, 454, 763, 3955, 32483, 850, 16186, 454, 1103, 519, 3105, 6810, 267, 596, 941, 5189, 547, 14415, 3796, 543, 519, 954, 32483, 850, 2039, 267, 6382, 1634, 607, 519, 21842, 305, 269, 1677, 13713, 973, 777, 267, 519, 954, 32483, 850, 2039, 568, 3989, 607, 519, 3845, 1063, 519, 1101, 543, 3791, 14415, 3796, 267, 799, 3568, 1312, 519, 11667, 543, 476, 2004, 260, 540, 519, 1239, 269, 31962, 519, 3239, 2630, 267, 1031, 607, 606, 1383, 14745, 540, 519, 21842, 305, 563, 4407, 519, 21842, 305, 814, 1082, 3156, 267, 1519, 3283, 13615, 547, 519, 4901, 593, 856, 11502, 6045, 2417, 593, 538, 713, 3296, 267, 1018, 568, 1271, 547, 4063, 568, 875, 519, 3800, 540, 3844, 12402, 1404, 883, 519, 21842, 305, 269, 901, 568, 15864, 547, 1294, 950, 3168, 693, 1239, 28367, 593, 513, 4216, 7120, 563, 26213, 30831, 666, 581, 606, 2500, 1259, 540, 18071, 519, 21842, 305, 1317, 789, 666, 4159, 1082, 3800, 540, 3844, 12402, 543, 13260, 269, 634, 1611, 543, 11667, 666, 581, 2938, 538, 1312, 13602, 267, 1141, 519, 4216, 7120, 593, 519, 2451, 2982, 513, 4216, 7120, 1141, 519, 1611, 568, 3152, 982, 519, 11667, 543, 519, 4216, 7120, 593, 519, 1318, 2982, 513, 3892, 1141, 519, 11667, 543, 1611, 616, 3160, 563, 763, 3892, 267, 3989, 607, 875, 519, 4632, 616, 3262, 856, 267, 568, 1655, 14648, 676, 519, 21842, 305, 269, 634, 4216, 7120, 593, 519, 2451, 2982, 513, 4216, 7120, 1141, 519, 1101, 14415, 850, 568, 6251, 547, 519, 11667, 982, 519, 3791, 14415, 850, 269, 634, 4216, 7120, 593, 519, 1318, 267, 593, 519, 824, 1688, 267, 2982, 513, 3892, 1141, 519, 11667, 543, 1611, 616, 1226, 573, 9665, 689, 1312, 14415, 3796, 476, 272, 543, 476, 274, 563, 4322, 3604, 538, 1141, 519, 3800, 9114, 593, 519, 4216, 7120, 616, 1813, 547, 3604, 538, 14778, 269, 7316, 519, 3892, 593, 519, 1318, 568, 22566, 540, 513, 3339, 3892, 267, 519, 835, 593, 519, 2451, 6786, 513, 7729, 14954, 3892, 269, 1284, 3580, 979, 811, 883, 811, 1469, 593, 14778, 2663, 269, 1280, 1631, 267, 596, 666, 1265, 513, 973, 777, 540, 519, 3800, 540, 3844, 12402, 543, 13260, 596, 666, 7747, 689, 4216, 30831, 538, 519, 3349, 2630, 563, 347, 9288, 5501, 1475, 19613, 593, 13340, 7120, 1475, 11328, 13133, 566, 2008, 347, 13614, 1475, 23777, 1227, 4092, 1657, 610, 2630, 519, 1611, 543, 1369, 519, 21842, 305, 267, 4352, 972, 616, 17756, 1475, 763, 3328, 540, 519, 1239, 2008, 347, 8469, 1014, 1475, 299, 11343, 693, 14415, 850, 476, 273, 1475, 295, 2788, 519, 1239, 2887, 1657, 543, 2630, 713, 1448, 630, 1492, 476, 2004, 260, 1665, 10245, 347, 14737, 3065, 1475, 299, 11343, 693, 1627, 271, 1475, 763, 9803, 1871, 540, 519, 1239, 1305, 2008, 347, 16655, 3065, 1475, 299, 11343, 693, 1627, 275, 1475, 763, 5207, 1871, 540, 519, 1239, 1305, 2008, 347, 11328, 32483, 850, 16186, 1475, 27001, 1627, 272, 543, 1627, 274, 1475, 295, 9529, 476, 2004, 260, 540, 519, 1239, 267, 519, 11667, 543, 1344, 827, 519, 8998, 476, 2004, 260, 540, 519, 1239, 1305, 2008, 2252, 596, 4076, 2760, 4862, 540, 856, 11502, 538, 513, 6310, 610, 7194, 4259, 267, 596, 2461, 3808, 547, 723, 4862, 621, 1031, 538, 824, 10459, 269, 901, 568, 1813, 5631, 1317, 540, 519, 1249, 602, 519, 4214, 540, 856, 11502, 568, 3376, 543, 666, 4061, 581, 4294, 547, 3871, 3564, 6128, 563, 2304, 7979, 1512, 568, 3989, 607, 513, 1448, 602, 11651, 2471, 689, 519, 6093, 4806, 269, 769, 824, 1913, 267, 606, 7979, 1512, 568, 1114, 689, 519, 1964, 540, 519, 1239, 1305, 563, 2005, 779, 2653, 547, 25657, 856, 11502, 609, 9565, 7422, 269, 1717, 267, 621, 666, 581, 4443, 547, 5094, 519, 1079, 676, 3206, 540, 856, 11502, 607, 513, 2268, 10362, 5631, 547, 10855, 7194, 1247, 9565, 7422, 616, 3335, 1031, 950, 9001, 1102, 22460, 7194, 563, 2304, 9565, 8343, 568, 513, 1239, 1448, 610, 2798, 602, 723, 606, 1764, 593, 519, 9386, 540, 513, 9695, 1899, 269, 1763, 6326, 519, 3877, 540, 9695, 585, 938, 3391, 593, 1102, 22460, 7194, 267, 596, 666, 1205, 513, 2596, 1620, 540, 519, 3017, 1063, 891, 1079, 8579, 2035, 689, 519, 2592, 2630, 563, 2026, 596, 666, 1294, 267, 519, 9695, 1899, 593, 519, 2451, 568, 711, 4299, 676, 519, 10014, 540, 519, 2699, 1448, 267, 6466, 593, 519, 1318, 267, 649, 666, 1294, 602, 519, 9695, 1899, 2242, 3648, 609, 519, 10014, 540, 519, 11909, 1448, 269, 901, 5267, 519, 2699, 1448, 568, 606, 7979, 1512, 543, 519, 11909, 1448, 568, 606, 9565, 8343, 563, 1692, 547, 10576, 4934, 11502, 454, 1103, 7194, 267, 972, 616, 1082, 1114, 2081, 547, 2697, 2436, 610, 711, 513, 1448, 568, 606, 7979, 1512, 269, 1703, 616, 1079, 2596, 2409, 596, 666, 2308, 547, 2697, 606, 7979, 1512, 267, 799, 616, 24298, 538, 519, 3349, 2630, 563, 347, 24092, 8061, 2747, 6396, 1475, 2252, 519, 1239, 814, 513, 3339, 3892, 267, 649, 666, 946, 519, 476, 6924, 268, 4817, 268, 4200, 269, 278, 4341, 547, 3313, 856, 11502, 269, 901, 1797, 649, 666, 11737, 337, 3320, 1305, 7182, 267, 3335, 476, 274, 543, 1657, 267, 547, 2697, 856, 11502, 13954, 2252, 649, 1305, 621, 693, 476, 274, 2073, 713, 1797, 602, 1022, 1448, 476, 274, 2476, 689, 519, 1611, 543, 3564, 666, 581, 2808, 856, 11502, 8198, 347, 11328, 32483, 850, 16186, 6396, 1475, 2252, 519, 1239, 3085, 1406, 723, 513, 3339, 3892, 267, 649, 666, 946, 519, 21842, 305, 607, 513, 25162, 585, 856, 11502, 607, 621, 3568, 476, 2004, 260, 540, 519, 1239, 269, 15380, 267, 519, 7182, 616, 267, 1586, 267, 11737, 337, 3320, 1305, 693, 21842, 305, 2608, 2476, 689, 519, 476, 1839, 628, 543, 476, 4037, 628, 14415, 3796, 267, 1141, 568, 3335, 1305, 693, 476, 272, 269, 276, 13954, 2252, 1627, 274, 568, 476, 1015, 543, 1627, 272, 568, 476, 274, 267, 519, 21842, 305, 1131, 581, 476, 1015, 910, 476, 274, 815, 476, 278, 269, 3973, 267, 519, 2539, 3970, 543, 5580, 3970, 585, 519, 1239, 1305, 1131, 581, 476, 278, 265, 272, 269, 276, 815, 476, 1015, 269, 276, 269, 901, 1797, 602, 1022, 1448, 2630, 476, 274, 268, 1015, 269, 276, 815, 910, 278, 269, 276, 543, 1657, 476, 1015, 266, 1015, 269, 276, 815, 476, 736, 269, 276, 1223, 581, 2808, 606, 7979, 1512, 8198, 20797, 9046, 476, 272, 454, 24280, 519, 1739, 10855, 7194, 689, 519, 1239, 2016, 538, 519, 3349, 2630, 912, 268, 3955, 32483, 850, 16186, 454, 2791, 616, 3843, 547, 6430, 2436, 610, 711, 596, 723, 606, 7979, 1512, 538, 707, 1239, 1305, 269, 2422, 519, 3044, 11539, 1505, 538, 1931, 547, 3313, 952, 972, 616, 1022, 856, 11502, 538, 707, 1239, 267, 2016, 538, 519, 1239, 3349, 2630, 563, 11328, 13133, 519, 5750, 2630, 563, 11405, 9046, 476, 272, 454, 763, 1611, 568, 7229, 607, 2676, 763, 11667, 568, 519, 30268, 540, 519, 1239, 1305, 269, 5221, 938, 1239, 568, 2907, 10288, 1106, 2547, 547, 6574, 267, 649, 3274, 991, 547, 1265, 519, 1647, 1871, 269, 769, 713, 2013, 267, 621, 568, 519, 476, 276, 628, 8343, 267, 799, 814, 513, 1871, 540, 476, 1789, 563, 763, 954, 32483, 850, 2039, 568, 1336, 676, 24590, 519, 1239, 883, 2185, 2195, 269, 23560, 713, 3947, 721, 519, 1739, 14415, 3796, 912, 268, 1627, 271, 815, 476, 276, 454, 268, 1627, 272, 815, 476, 2190, 454, 268, 1627, 273, 815, 476, 1789, 454, 268, 1627, 274, 815, 476, 3953, 454, 268, 1627, 275, 815, 476, 4817, 454, 9202, 267, 519, 21842, 305, 666, 581, 7229, 607, 2676, 11405, 9046, 476, 273, 454, 8340, 519, 1900, 8386, 9912, 3070, 2630, 563, 8794, 519, 3044, 11539, 1505, 547, 2697, 606, 7979, 1512, 666, 581, 2944, 676, 3044, 1944, 519, 1239, 1448, 269, 1284, 14353, 519, 11359, 8343, 949, 581, 606, 7979, 1512, 563, 1607, 1797, 602, 519, 476, 2568, 568, 827, 476, 272, 269, 279, 2476, 689, 519, 1611, 269, 2755, 713, 568, 1869, 1134, 1369, 519, 476, 274, 7363, 1031, 585, 4466, 856, 11502, 538, 519, 3044, 11539, 1505, 267, 596, 949, 1616, 547, 2015, 4259, 519, 3970, 693, 513, 2539, 2094, 519, 3732, 2450, 568, 1507, 563, 11405, 9046, 476, 274, 454, 347, 304, 271, 1475, 763, 5934, 267, 4092, 693, 476, 271, 2008, 347, 304, 272, 1475, 1839, 260, 540, 519, 1239, 568, 2630, 476, 3374, 2008, 347, 304, 273, 1475, 2004, 260, 540, 519, 1239, 568, 1657, 543, 2630, 476, 2004, 2008, 347, 304, 274, 1475, 4037, 260, 540, 519, 1239, 568, 2630, 476, 4792, 2008, 347, 304, 275, 1475, 763, 5021, 267, 4092, 693, 476, 1911, 347, 0, 2304, 1383, 540, 8670, 568, 513, 6676, 563, 2304, 1383, 540, 513, 8670, 568, 27966, 22101, 518, 1961, 563, 2304, 1383, 540, 547, 8670, 568, 22635, 532, 7573, 5196, 2576, 781, 6676, 563, 291, 1639, 909, 519, 12403, 563, 291, 1639, 909, 606, 5140, 9913, 563, 288, 8670, 540, 12403, 563, 288, 10448, 8670, 563, 1607, 8670, 568, 11423, 543, 3362, 1500, 563, 2005, 781, 707, 2490, 547, 11547, 519, 8286, 563, 763, 13962, 771, 1117, 909, 513, 8949, 7969, 1490, 4875, 563, 268, 1677, 4308, 856, 9880, 610, 6057, 563, 268, 1677, 1641, 1866, 547, 7411, 267, 9880, 267, 27465, 267, 7759, 545, 2544, 267, 3092, 269, 0, 4263, 7434, 20029, 531, 4347, 624, 1323, 693, 7434, 31027, 531, 8919, 630, 32359, 264, 568, 835, 540, 519, 1034, 1455, 3029, 540, 22787, 2295, 2068, 1336, 538, 4079, 269, 4014, 972, 616, 693, 2547, 1614, 1114, 3029, 540, 693, 7434, 31027, 531, 8919, 267, 789, 782, 723, 538, 1455, 513, 2792, 1063, 519, 1318, 543, 2451, 693, 8922, 269, 2311, 7434, 31027, 531, 12889, 616, 519, 3791, 1034, 1455, 1826, 540, 22787, 2295, 8919, 267, 543, 1851, 4079, 267, 789, 616, 519, 1034, 1455, 269, 634, 2783, 568, 811, 1455, 538, 2021, 982, 538, 2367, 269, 1548, 616, 519, 1279, 3856, 2360, 540, 693, 7434, 31027, 531, 12889, 888, 2252, 972, 568, 513, 8559, 538, 519, 693, 7434, 31027, 636, 267, 621, 568, 1572, 606, 693, 7434, 31027, 531, 8919, 630, 32359, 1040, 2368, 540, 519, 1973, 602, 1058, 2095, 883, 519, 2451, 28602, 548, 630, 528, 2539, 23028, 12068, 264, 689, 519, 2451, 693, 8922, 1631, 8928, 883, 519, 1318, 693, 8922, 998, 519, 20284, 269, 769, 2490, 267, 811, 1973, 4422, 547, 519, 1318, 2427, 540, 519, 2295, 543, 1394, 547, 519, 9641, 2864, 982, 856, 547, 519, 1560, 269, 9484, 476, 6860, 267, 5788, 2311, 7434, 20029, 531, 4347, 624, 769, 20661, 1403, 519, 3461, 568, 711, 8995, 609, 2311, 7434, 20029, 531, 4347, 624, 2394, 1010, 17017, 15296, 267, 519, 12675, 3441, 593, 519, 9641, 543, 2295, 267, 1510, 1022, 2126, 666, 2110, 523, 741, 1272, 269, 23369, 540, 20284, 693, 513, 1762, 2085, 2636, 519, 2550, 547, 1205, 519, 2126, 693, 519, 1318, 942, 267, 3850, 873, 547, 9156, 6923, 3842, 6646, 563, 288, 834, 23346, 257, 538, 519, 3774, 602, 24508, 519, 1283, 1079, 20830, 540, 519, 2295, 269, 901, 8919, 2636, 5135, 11656, 1973, 547, 13451, 883, 519, 5135, 1790, 3233, 1973, 20830, 538, 519, 2295, 269, 20284, 568, 513, 8919, 538, 519, 31027, 636, 1063, 519, 2295, 781, 1079, 5580, 20830, 630, 520, 6319, 1040, 634, 31027, 636, 568, 513, 3774, 602, 24508, 519, 2295, 781, 2451, 543, 1318, 5011, 269, 2311, 7434, 31027, 531, 8919, 849, 1572, 606, 20284, 267, 568, 513, 22787, 630, 30005, 693, 4332, 264 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5441, 13335, 4828, 3584, 602, 596, 786, 2693, 581, 4280, 547, 2328, 269, 1809, 267, 952, 596, 723, 513, 2603, 540, 1344, 547, 1331, 538, 707, 5441, 13335, 4828, 267, 596, 949, 1616, 547, 15395, 519, 1557, 3584, 585, 707, 20389, 610, 20554, 8464, 269, 17859, 540, 1018, 2010, 540, 2852, 3156, 596, 616, 7311, 585, 267, 519, 5441, 13335, 4828, 3584, 786, 948, 596, 2328, 707, 1557, 1134, 269, 0, 5978, 15769, 786, 2689, 1018, 596, 4076, 11643, 543, 3313, 2436, 547, 23590, 519, 2376, 12282, 7765, 27429, 781, 14539, 31313, 5358, 543, 938, 2146, 540, 4966, 547, 2744, 513, 2518, 5304, 585, 707, 960, 2336, 32723, 332, 850, 2725, 344, 3205, 267, 630, 9799, 4924, 269, 476, 1321, 267, 476, 6977, 280, 267, 700, 889, 4802, 267, 2717, 1421, 6739, 7276, 1496, 852, 538, 12996, 316, 1765, 323, 1221, 5463, 269, 476, 275, 267, 476, 4350, 274, 267, 8303, 267, 5333, 1070, 14470, 23899, 3943, 2447, 626, 543, 14544, 540, 2257, 4171, 2035, 540, 7787, 1620, 1759, 593, 17779, 543, 1757, 16117, 941, 2442, 1851, 3621, 28466, 538, 519, 476, 4350, 271, 338, 563, 14807, 730, 538, 8106, 2257, 543, 7998, 896, 7917, 30247, 645, 684, 11420, 538, 5125, 267, 2725, 344, 3205, 32164, 3603, 547, 8303, 630, 6642, 273, 1070, 1141, 646, 2968, 606, 4853, 2447, 626, 267, 4914, 9375, 585, 519, 32147, 553, 3377, 8116, 267, 543, 267, 2663, 267, 8689, 540, 519, 6014, 16690, 1436, 5948, 585, 2342, 543, 5607, 19724, 269, 4014, 646, 1185, 1100, 6101, 6280, 4276, 267, 1010, 2144, 644, 924, 1568, 1765, 18034, 5772, 527, 2946, 1696, 678, 2946, 531, 527, 2946, 630, 5002, 279, 282, 14740, 543, 18712, 1070, 1546, 561, 685, 1410, 6473, 546, 753, 8350, 9443, 267, 476, 273, 2019, 269, 630, 4572, 272, 282, 968, 4002, 19247, 538, 519, 7070, 25257, 543, 13660, 2447, 710, 618, 632, 3288, 23445, 19902, 267, 476, 274, 2019, 269, 630, 4350, 272, 282, 968, 4002, 519, 18467, 540, 23539, 14615, 1765, 935, 9109, 1027, 5640, 602, 3621, 6138, 568, 6956, 1152, 676, 7421, 519, 1686, 540, 2257, 269, 1261, 6905, 1010, 5784, 547, 971, 824, 2127, 607, 7061, 3069, 267, 10952, 543, 18642, 2219, 267, 543, 25536, 3069, 267, 607, 538, 5487, 667, 2946, 9134, 8887, 22999, 324, 630, 4572, 276, 282, 968, 9824, 520, 22999, 667, 9254, 794, 892, 1916, 9596, 2859, 538, 891, 1644, 27429, 4930, 912, 28899, 681, 592, 619, 540, 5333, 7628, 922, 1279, 1686, 267, 5333, 814, 8854, 998, 3875, 2010, 540, 2229, 269, 7201, 519, 25004, 6243, 267, 5333, 779, 1699, 1062, 267, 519, 2212, 540, 1533, 568, 519, 7022, 267, 945, 568, 11221, 676, 1463, 8471, 27049, 269, 634, 3349, 2488, 513, 1592, 540, 519, 2101, 17710, 540, 7498, 4942, 3342, 4451, 540, 2257, 4942, 3342, 4451, 540, 2257, 267, 519, 1353, 267, 689, 513, 10952, 5133, 267, 540, 519, 2609, 540, 3621, 14374, 269, 901, 2376, 11828, 21042, 9713, 267, 26381, 1670, 267, 543, 5683, 2152, 1644, 547, 519, 2259, 543, 3853, 540, 2413, 2257, 269, 1280, 2126, 540, 10952, 2152, 6659, 676, 519, 2042, 543, 7498, 13640, 529, 13640, 529, 267, 2749, 543, 3854, 540, 5333, 267, 13883, 538, 519, 5087, 7266, 1537, 851, 540, 519, 2197, 269, 4658, 941, 2713, 593, 519, 3135, 540, 519, 1459, 6377, 2749, 267, 4092, 2059, 519, 1530, 710, 5211, 930, 476, 22001, 5195, 630, 23841, 5998, 264, 25318, 689, 519, 5757, 779, 5023, 593, 519, 2296, 19305, 630, 17442, 2494, 3832, 1070, 676, 827, 476, 31318, 271, 536, 576, 269, 634, 2413, 2749, 2507, 0, 777, 25902, 616, 1419, 538, 10156, 3761, 982, 789, 1131, 581, 1510, 10519, 1852, 269, 6306, 906, 2356, 10519, 585, 3928, 2539, 982, 519, 2344, 2557, 269, 621, 2356, 3217, 811, 942, 547, 1265, 606, 19887, 982, 621, 1131, 1510, 10519, 1852, 563, 272, 1315, 476, 272, 533, 1206, 7726, 476, 278, 454, 3071, 4016, 547, 519, 5786, 538, 2804, 21045, 4611, 689, 711, 1373, 538, 8013, 11466, 563, 291, 1737, 7076, 2530, 22043, 2336, 300, 1173, 1400, 1942, 21277, 1356, 693, 15577, 454, 272, 1315, 476, 272, 533, 1206, 7726, 476, 279, 454, 8269, 518, 547, 7612, 476, 275, 268, 276, 269, 634, 4137, 1657, 4564, 519, 2344, 585, 890, 322, 753, 269, 27539, 602, 713, 568, 513, 8013, 2344, 269, 1403, 476, 275, 267, 1822, 6550, 540, 890, 322, 753, 616, 4421, 2676, 332, 1173, 1400, 4324, 568, 3160, 547, 8589, 1942, 269, 519, 4666, 7076, 2530, 568, 3160, 547, 1269, 1321, 267, 1822, 269, 22043, 2336, 4621, 10179, 21045, 11224, 4642, 269, 519, 8589, 4324, 540, 1142, 540, 519, 476, 275, 267, 1822, 6550, 540, 890, 322, 753, 11224, 1269, 274, 563, 272, 1315, 476, 272, 533, 1206, 7726, 476, 280, 454, 8201, 476, 275, 268, 280, 2982, 519, 3747, 543, 3761, 14258, 585, 519, 30288, 2344, 269, 634, 2229, 11099, 602, 519, 11466, 3902, 568, 1932, 1970, 543, 13290, 547, 948, 454, 531, 12107, 25210, 676, 4259, 513, 3902, 6989, 693, 623, 4586, 8269, 518, 547, 7612, 476, 275, 268, 280, 1547, 1548, 1858, 4564, 7082, 21045, 1310, 519, 791, 3789, 540, 519, 3902, 6989, 888, 288, 1341, 645, 1341, 661, 1341, 674, 589, 1341, 645, 1341, 661, 589, 22043, 256, 22043, 256, 589, 1341, 645, 454, 272, 1315, 476, 272, 533, 1206, 7726, 476, 1015, 454, 22428, 513, 3902, 6989, 593, 31394, 9174, 568, 6069, 676, 519, 2657, 10579, 540, 519, 2197, 540, 966, 4176, 731, 807, 269, 1548, 786, 581, 519, 2693, 1198, 593, 519, 2344, 585, 31394, 454, 342, 710, 538, 966, 4176, 731, 807, 888, 23797, 640, 18796, 786, 2333, 267, 7274, 13859, 786, 6175, 267, 543, 513, 21045, 786, 1267, 269, 10829, 640, 18796, 786, 6175, 267, 7274, 13859, 786, 2333, 267, 543, 513, 21045, 786, 1267, 269, 22043, 2336, 23797, 640, 18796, 786, 6175, 267, 7274, 13859, 786, 2333, 267, 543, 513, 17732, 786, 1267, 269, 10829, 640, 18796, 786, 2333, 267, 7274, 13859, 786, 6175, 267, 543, 513, 17732, 786, 1267, 563, 272, 1315, 476, 272, 533, 1206, 7726, 476, 1556, 454, 763, 5934, 13230, 568, 606, 1383, 540, 454, 320, 13564, 344, 585, 1970, 1606, 330, 2683, 4600, 269, 513, 3902, 18109, 269, 513, 3902, 6989, 269, 22043, 256, 22043, 256, 513, 3109, 2344, 563, 272, 1315, 476, 272, 533, 1206, 7726, 476, 1321, 454, 4467, 3966, 625, 6721, 16003, 1957, 6926, 778, 519, 1957, 547, 1118, 621, 3043, 269, 634, 6926, 778, 568, 26809, 883, 8933, 543, 12647, 543, 3123, 8101, 2825, 454, 17043, 720, 269, 7612, 476, 275, 268, 2641, 14550, 519, 3510, 538, 519, 16003, 1957, 2344, 563, 8269, 518, 547, 7612, 476, 275, 268, 2641, 269, 2913, 781, 15475, 519, 2229, 791, 4680, 513, 3454, 540, 1269, 2004, 829, 1770, 540, 16003, 1957, 547, 3142, 827, 519, 3608, 1377, 540, 2504, 269, 1548, 454, 327, 1952, 839, 547, 519, 2344, 3902, 540, 16003, 1957, 888, 2005, 14380, 676, 811, 982, 1269, 2004, 829, 1770, 269, 898, 14380, 676, 1447, 982, 1269, 2004, 829, 1770, 269, 22043, 256, 898, 14380, 676, 1269, 2004, 829, 1770, 269, 898, 3788, 519, 1482, 1317, 519, 3454, 568, 13684, 593, 12696, 945, 1711, 519, 608, 1181, 1275, 563, 272, 1315, 476, 272, 533, 1206, 7726, 476, 1724, 454, 2419, 1157, 523, 1093, 343, 25750, 585, 20854, 4324, 2486, 676, 7863, 1762, 1453, 543, 676, 7303, 606, 15435, 540, 519, 2068, 269, 4935, 267, 519, 1514, 2640, 540, 454, 577, 1157, 523, 1093, 343, 25750, 9765, 519, 4357, 4324, 585, 1022, 7274, 540, 25750, 607, 11609, 538, 7612, 476, 275, 268, 2420, 563, 8269, 518, 547, 7612, 476, 275, 268, 2420, 269, 2290, 1259, 547, 3489, 519, 17215, 3608, 2179, 540, 9269, 1093, 343, 25750, 568, 585, 6608, 547, 13564, 1125, 891, 25750, 563, 1432, 568, 519, 2450, 540, 519, 829, 8686, 3147, 1588, 28522, 990, 1014, 13564, 344, 602, 519, 2229, 1590, 1683, 547, 4835, 1125, 519, 5007, 2640, 286, 0, 21415, 6763, 585, 13387, 13214, 1893, 663, 568, 1031, 547, 5968, 609, 513, 6538, 269, 14069, 616, 6898, 1031, 547, 4163, 856, 4247, 899, 9337, 1239, 267, 23074, 1239, 269, 9786, 14069, 18218, 630, 5960, 14069, 264, 568, 835, 540, 519, 3044, 22228, 6538, 2359, 1949, 630, 305, 24174, 5960, 264, 602, 946, 14069, 563, 2005, 568, 2966, 585, 946, 538, 9746, 8924, 267, 1312, 593, 22402, 607, 1134, 607, 538, 519, 6531, 269, 898, 7028, 513, 3102, 3099, 540, 11834, 4393, 267, 1870, 4987, 543, 12642, 8924, 538, 9746, 8668, 5054, 269, 898, 568, 1851, 519, 1283, 1614, 2344, 6122, 8172, 6538, 4066, 563, 2005, 814, 606, 5393, 3593, 7888, 10380, 8818, 563, 2005, 13408, 3608, 13496, 543, 14238, 7207, 267, 4611, 538, 8476, 1239, 4859, 543, 23023, 3252, 563, 2005, 568, 835, 540, 519, 1034, 5150, 6538, 13763, 563, 2005, 3091, 1239, 2359, 543, 12210, 6712, 532, 2645, 563, 2005, 814, 5140, 1239, 11808, 543, 6051, 7271, 269, 0, 306, 11482, 269, 700, 2292, 9534, 9737, 634, 17121, 543, 27449, 10298, 630, 6637, 476, 1321, 994, 20784, 700, 2292, 1773, 2033, 26344, 5852, 10298, 585, 3848, 476, 1321, 2048, 9824, 725, 1063, 519, 590, 1938, 540, 513, 21121, 543, 922, 27449, 685, 1331, 3635, 3435, 540, 519, 3184, 2813, 676, 519, 1655, 29890, 4966, 693, 2382, 553, 565, 341, 269, 1452, 3435, 4766, 538, 1469, 875, 519, 7285, 538, 1022, 6906, 616, 1644, 547, 741, 7222, 5011, 676, 1797, 540, 25066, 3252, 269, 1452, 3435, 786, 581, 3730, 585, 519, 7041, 540, 8013, 11400, 899, 594, 3951, 808, 7417, 543, 17252, 4953, 607, 2055, 1644, 547, 1894, 1063, 5011, 540, 513, 6906, 543, 922, 5086, 616, 1419, 4280, 538, 891, 11400, 563, 20784, 700, 2292, 1773, 2033, 26344, 5852, 10298, 585, 808, 7417, 9534, 1063, 519, 590, 1938, 540, 513, 21121, 543, 922, 27449, 723, 513, 2698, 540, 476, 5379, 2055, 799, 616, 5258, 883, 476, 273, 5751, 269, 769, 891, 5751, 267, 596, 786, 581, 2111, 547, 1451, 519, 2078, 1063, 875, 519, 5011, 540, 513, 6906, 543, 1114, 17693, 2210, 3740, 3252, 899, 590, 710, 267, 15328, 710, 267, 543, 19358, 550, 616, 1644, 547, 1142, 824, 269, 1411, 849, 1451, 519, 1482, 1894, 950, 519, 23109, 616, 10300, 1386, 543, 865, 596, 1131, 1205, 547, 1294, 519, 1482, 2856, 538, 1114, 3029, 269, 11109, 2347, 10298, 547, 20793, 700, 2292, 2055, 568, 1271, 547, 1106, 513, 2178, 3490, 538, 29890, 269, 3776, 3435, 786, 9090, 948, 596, 538, 6061, 519, 3635, 2042, 799, 1131, 948, 596, 21271, 532, 12497, 23665, 563, 21093, 3435, 547, 2352, 3635, 2055, 689, 4966, 568, 513, 1434, 1259, 540, 1565, 543, 1620, 519, 2035, 2094, 4966, 786, 1683, 513, 2620, 5813, 883, 519, 2035, 3238, 269, 3776, 2319, 693, 2382, 553, 565, 341, 2488, 2347, 3435, 547, 20793, 700, 2292, 1773, 2033, 26344, 5852, 3487, 476, 272, 547, 1732, 16491, 596, 609, 519, 2186, 540, 2055, 602, 2097, 538, 2101, 8013, 11400, 899, 594, 3951, 11219, 7417, 543, 17252, 4953, 2059, 609, 4147, 476, 1321, 21038, 269, 2060, 938, 3435, 267, 596, 849, 1451, 875, 547, 798, 2055, 7561, 543, 2327, 1732, 942, 31193, 1282, 17173, 981, 5054, 563, 30131, 11762, 585, 20793, 700, 2292, 1773, 2033, 26344, 5852, 10298, 3848, 476, 1321, 281, 9534, 9737, 634, 590, 1938, 540, 513, 21121, 543, 4706, 27449, 454, 9824, 566, 9737, 5011, 543, 590, 1149, 540, 519, 27449, 11534, 5242, 547, 23067, 1107, 769, 1022, 6906, 267, 2161, 13235, 267, 519, 2427, 6587, 547, 5086, 589, 799, 568, 7460, 568, 6719, 676, 513, 267, 13974, 585, 7285, 645, 519, 2427, 568, 8028, 6719, 676, 536, 543, 585, 5086, 595, 621, 568, 9474, 6719, 676, 524, 269, 901, 568, 3254, 538, 519, 4137, 2630, 912, 1103, 519, 4137, 1657, 267, 952, 1899, 5084, 568, 6537, 13902, 547, 7460, 1287, 10778, 1103, 6906, 9474, 291, 267, 16429, 645, 815, 5084, 270, 5723, 610, 5084, 815, 524, 16429, 645, 1107, 630, 328, 994, 1103, 6906, 589, 7374, 267, 16429, 595, 815, 5084, 270, 3722, 610, 5084, 815, 536, 16429, 595, 1107, 630, 4512, 994, 5804, 630, 328, 264, 543, 630, 4512, 264, 649, 1205, 524, 16429, 645, 815, 536, 16429, 595, 267, 610, 524, 13478, 514, 595, 815, 536, 13478, 514, 645, 454, 1103, 513, 2147, 1259, 267, 513, 13902, 666, 581, 6537, 689, 645, 593, 11404, 689, 799, 649, 786, 1205, 912, 322, 13478, 514, 595, 815, 513, 13478 ]

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

[ 1564, 267, 2138, 1564, 267, 610, 20730, 267, 3314, 547, 1433, 6619, 607, 2442, 9634, 6445, 909, 3533, 267, 2523, 1282, 8445, 4005, 269, 8838, 532, 585, 513, 4342, 704, 7079, 2636, 596, 547, 8415, 3875, 9702, 11614, 543, 4972, 540, 11094, 630, 291, 8016, 264, 13122, 2572, 3262, 2066, 519, 6532, 269, 1452, 1683, 2596, 29319, 899, 30079, 267, 4881, 1216, 267, 543, 3006, 10051, 6703, 267, 1818, 873, 3501, 585, 16074, 13978, 896, 519, 6801, 780, 7312, 3232, 1544, 3085, 1405, 723, 547, 581, 14461, 282, 8112, 568, 1883, 950, 25054, 593, 513, 4155, 7552, 269, 1717, 267, 2348, 513, 11315, 2856, 540, 1141, 596, 9364, 899, 547, 979, 2337, 2327, 596, 1810, 1405, 4413, 1022, 1590, 268, 5408, 24738, 2059, 519, 1259, 269, 1284, 4363, 4358, 707, 3460, 538, 2441, 577, 3420, 267, 513, 7524, 2749, 31811, 3294, 1310, 1713, 16767, 269, 3245, 972, 267, 2212, 2509, 589, 528, 13403, 19072, 870, 13648, 2817, 5244, 267, 1753, 547, 519, 5207, 7823, 538, 1715, 10215, 543, 6909, 19482, 18162, 269, 3973, 267, 14679, 2417, 5045, 547, 1855, 1323, 879, 267, 519, 24891, 4884, 547, 674, 328, 867, 1633, 2817, 5244, 543, 519, 4583, 6660, 5112, 14675, 269, 7053, 267, 16833, 909, 707, 7552, 538, 10348, 560, 1144, 1107, 519, 7045, 3854, 540, 519, 1158, 1107, 1354, 8520, 532, 1394, 5087, 1189, 547, 2347, 707, 5547, 780, 8170, 1576, 267, 1100, 4155, 7552, 1131, 581, 2347, 1510, 3843, 1007, 2833, 256, 2368, 20605, 9035, 24098, 596, 538, 1715, 10215, 267, 899, 536, 25128, 324, 17259, 267, 15191, 1630, 908, 267, 543, 31614, 1136, 1851, 4672, 6199, 338, 269, 1809, 952, 19076, 13824, 5026, 5749, 1405, 707, 3364, 267, 4250, 711, 256, 1703, 616, 9118, 3255, 547, 23365, 3054, 538, 2470, 267, 1451, 827, 8575, 9461, 2528, 267, 6492, 8949, 2199, 11951, 267, 543, 2743, 4241, 17137, 945, 786, 27145, 10950, 596, 547, 741, 20105, 540, 27032, 780, 1103, 3932, 267, 513, 4155, 7552, 2066, 1715, 10215, 781, 3162, 6816, 14767, 10761, 267, 5898, 267, 543, 8823, 602, 786, 2063, 513, 10715, 269, 1635, 1620, 519, 9238, 540, 4058, 543, 7041, 267, 13745, 609, 8508, 15514, 2033, 640, 543, 22371, 547, 1007, 2833, 267, 596, 2811, 3808, 547, 1711, 19644, 2984, 689, 713, 7415, 7944, 540, 938, 4541, 269, 1924, 3640, 707, 11435, 267, 10544, 707, 8254, 267, 543, 1205, 4712, 585, 606, 12473, 3460, 998, 835, 540, 3047, 781, 5963, 2027, 4025, 269, 8414, 12599, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 16032, 540, 519, 3162, 6816, 281, 476, 1015, 6377, 1715, 10215, 4155, 7552, 621, 10719, 776, 454, 3080, 540, 519, 1034, 20498, 569, 4190, 2477, 538, 519, 3003, 1158, 267, 1715, 10215, 568, 849, 9985, 1305, 909, 585, 4155, 15143, 267, 609, 1134, 31720, 22633, 28565, 856, 547, 3084, 11614, 267, 5458, 5121, 540, 13122, 2572, 267, 543, 606, 1202, 2033, 5834, 540, 2067, 4609, 782, 593, 513, 5266, 1507, 6292, 540, 10195, 269, 11153, 1296, 9327, 1406, 581, 2614, 942, 547, 798, 715, 313, 5126, 267, 855, 609, 1175, 476, 1015, 2395, 267, 596, 666, 1869, 1294, 930, 540, 519, 3162, 6816, 779, 1034, 11141, 8711, 563, 5804, 519, 1202, 2033, 620, 18090, 5784, 540, 589, 528, 13403, 19072, 339, 13648, 2817, 5244, 547, 519, 2295, 1790, 18804, 4743, 540, 536, 2426, 344, 17259, 538, 10348, 560, 1144, 547, 519, 14734, 17965, 540, 27224, 21307, 1386, 6660, 5112, 14675, 267, 713, 621, 10719, 776, 786, 25888, 1790, 871, 1169, 8792, 540, 707, 8430, 1765, 543, 4734, 596, 12955, 547, 2097, 1394, 585, 811, 269, 2422, 713, 3391, 547, 948, 1544, 519, 10700, 476, 1015, 6377, 3162, 6816, 4155, 7552, 1472, 1715, 10215, 267, 1519, 646, 2355, 540, 5363, 4388, 593, 1286, 543, 4342, 704, 7079, 16926, 267, 13122, 2572, 267, 22343, 267, 543, 811, 563, 294, 582, 3063, 942, 1299, 1616, 547, 3605, 4779, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 570, 30728, 1315, 5245, 1299, 7909, 807, 1315, 10003, 10222, 6137, 21661, 1715, 10215, 781, 3162, 6816, 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, 8080, 547, 606, 3078, 1158, 540, 29113, 256, 4653, 649, 786, 2263, 875, 3744, 1711, 543, 1353, 6263, 5536, 1572, 834, 22974, 641, 14895, 2437, 799, 616, 1152, 5479, 2195, 540, 513, 11281, 538, 2450, 269, 2334, 781, 11212, 1507, 1765, 810, 1507, 602, 596, 1131, 991, 513, 1360, 3532, 17209, 1175, 547, 1294, 873, 2439, 4131, 781, 4685, 883, 938, 7045, 2221, 676, 1565, 827, 513, 1808, 2186, 540, 17560, 14835, 1634, 607, 513, 834, 4944, 514, 601, 1826, 24519, 7542, 1679, 7623, 1701, 901, 16681, 2012, 4564, 513, 1895, 540, 2326, 1500, 909, 540, 4401, 630, 1492, 1482, 8631, 538, 707, 17919, 14386, 2059, 609, 824, 8407, 899, 13101, 269, 12207, 1419, 946, 1945, 1572, 519, 834, 338, 565, 15074, 4480, 257, 547, 3132, 891, 6263, 5536, 269, 898, 781, 2147, 547, 5986, 950, 596, 3575, 5820, 1927, 1354, 8022, 621, 782, 909, 2439, 3086, 1577, 781, 2911, 827, 930, 3579, 2645, 3173, 2308, 547, 1451, 811, 827, 891, 9589, 2370, 1179, 802, 269, 2290, 971, 1907, 568, 2473, 11920, 32250, 267, 1141, 789, 19542, 7920, 1769, 593, 519, 3732, 543, 5659, 1018, 2501, 1394, 269, 1635, 3257, 713, 267, 789, 666, 3313, 952, 741, 9325, 7848, 5828, 856, 1318, 543, 1256, 7447, 519, 12627, 7306, 1369, 519, 20543, 269, 1280, 3236, 267, 835, 1353, 1336, 602, 741, 13101, 7542, 1679, 20543, 1185, 12627, 7306, 1472, 476, 4375, 269, 280, 6289, 18852, 256, 1677, 948, 2322, 1919, 538, 5133, 267, 4952, 12270, 513, 1480, 4552, 3259, 3772, 2394, 621, 781, 1175, 476, 2004, 8444, 2647, 282, 602, 781, 10199, 3160, 547, 835, 6289, 10309, 2439, 5194, 4241, 1505, 3744, 946, 568, 22263, 17992, 5606, 14518, 21655, 269, 5994, 2348, 2706, 335, 10062, 12823, 899, 1373, 2111, 547, 5873, 4778, 610, 6492, 1913, 269, 4270, 267, 13974, 267, 713, 3684, 2636, 4966, 547, 21264, 1114, 6786, 2016, 1055, 676, 7554, 1063, 2609, 3330, 519, 20543, 269, 1358, 4767, 2189, 21513, 4947, 689, 4496, 3562, 268, 2135, 4723, 4296, 9361, 538, 1312, 25543, 14366, 543, 12354, 320, 14366, 7158, 269, 1452, 7422, 5280, 6166, 602, 789, 6707, 2813, 741, 5551, 8095, 601, 11295, 20543, 780, 9202, 909, 267, 26994, 10414, 5843, 2675, 4878, 13071, 873, 14650, 1367, 5536, 3592, 899, 2921, 513, 4605, 855, 693, 513, 7636, 1377, 256, 4635, 1776, 1383, 689, 519, 1382, 5018, 4505, 267, 519, 2319, 4362, 602, 1142, 540, 741, 13101, 7542, 1679, 5536, 1185, 9274, 5111, 476, 9032, 269, 278, 6289, 18852, 2462, 269, 3807, 19424, 476, 2568, 13558, 11084, 9788, 2427, 676, 2427, 267, 8720, 1439, 3562, 15134, 282, 602, 3845, 1131, 12732, 5176, 6697, 547, 835, 4627, 6289, 18852, 2439, 21328, 2598, 11825, 633, 2473, 7304, 599, 5811, 2337, 2697, 4010, 799, 3334, 13822, 519, 20543, 269, 7053, 267, 2480, 8911, 5082, 1258, 5843, 2675, 4878, 3947, 721, 606, 2856, 540, 519, 2949, 3337, 543, 2627, 2934, 540, 891, 14263, 9908, 2261, 12069, 780, 12234, 267, 10548, 534, 15190, 18122, 2488, 3407, 1344, 3823, 1022, 3114, 2242, 8345, 1369, 519, 20543, 269, 12824, 7074, 2947, 3982, 3270, 267, 12805, 11236, 1759, 593, 519, 8095, 601, 2497, 3069, 780, 15563, 267, 6419, 7403, 7000, 10578, 2623, 17820, 676, 891, 7141, 344, 16782, 693, 4055, 2837, 269, 1879, 6534, 547, 1585, 9342, 540, 11275, 1143, 267, 891, 20543, 4646, 17787, 910, 1589, 540, 1225, 1782, 10775, 19490, 32232, 547, 513, 11275, 269, 4197, 971, 3601, 949, 1291, 547, 5499, 3156, 1524, 519, 1899, 2439, 3383, 972, 596, 723, 621, 267, 2828, 256, 1411, 1631, 917, 513, 3364, 610, 1079, 827, 2870, 543, 4974, 5863, 20543, 269, 5808, 6487, 286, 9320, 14693, 9358, 1223, 1831, 513, 10196, 3695, 519, 20538, 7122, 6456, 9944, 938, 4064, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 1051, 14029, 8084, 267, 25080, 543, 5651, 874, 1670, 2090, 540, 27002, 8722, 273, 302, 275, 15089, 641, 32535, 454, 8967, 514, 601, 1826, 24519, 7542, 1679, 7623, 27002, 8722, 273, 302, 275, 729, 24704, 998, 1151, 15074, 4480, 1210, 4496, 6491, 6233, 607, 840, 15479, 832, 269, 634, 5123, 5888, 267, 19916, 543, 3693, 531, 2079, 540, 13101, 7542, 1679, 630, 300, 326, 8722, 273, 302, 275, 264, 941, 5340, 676, 2473, 11920, 32250, 267, 535, 537, 8175, 2981, 18342, 267, 10570, 3196, 22794, 267, 1648, 12165, 633, 1535, 11920, 543, 17655, 6475, 22794, 267, 9382, 563, 763, 3732, 781, 2473, 11920, 32250, 4806, 2357, 5809, 519, 6228, 540, 2582, 5123, 1570, 267, 609, 519, 2450, 540, 922, 16358, 2572, 6059, 547, 581, 476, 4375, 269, 280, 16354, 269, 22263, 2981, 18342, 6514, 6462, 4496, 268, 2135, 4723, 21513, 7222, 547, 25543, 14366, 543, 12354, 320, 14366, 4609, 267, 6606, 269, 3245, 17655, 6475, 22794, 3239, 267, 10286, 2450, 5833, 827, 476, 9032, 269, 278, 16354, 269, 10548, 534, 26034, 540, 519, 3732, 2982, 2947, 10548, 534, 3742, 12331, 630, 288, 272, 326, 1341, 661, 326, 1341, 476, 274, 293, 273, 326, 1070, 799, 568, 15095, 609, 519, 8095, 601, 2497, 269, 25080, 6482, 1353, 693, 4055, 2837, 2982, 513, 1728, 4614, 637, 529, 8520, 3793, 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, 1262, 16215, 281, 4197, 7167, 13052, 20907, 532, 4373, 5331, 602, 596, 1616, 547, 1628, 707, 1360, 1378, 21097, 1796, 256, 1411, 4312, 3893, 2462, 4566, 910, 596, 1810, 1405, 1175, 1616, 1022, 8723, 1796, 282, 596, 1616, 835, 609, 6505, 4778, 267, 1187, 23598, 267, 543, 1256, 513, 2370, 1129, 547, 4482, 811, 5561, 269, 1717, 267, 782, 1346, 970, 6652, 1942, 2724, 269, 901, 568, 1141, 1945, 1572, 7167, 13052, 22343, 2501, 883, 1404, 780, 22479, 1388, 24723, 267, 610, 7167, 2750, 267, 616, 7482, 1031, 676, 4213, 547, 10536, 267, 22010, 267, 543, 2226, 2168, 7221, 899, 5656, 267, 3937, 267, 6472, 267, 543, 2029, 269, 589, 7167, 13052, 6578, 14592, 875, 1454, 513, 2754, 26770, 547, 6108, 593, 891, 1279, 3856, 9541, 936, 513, 1808, 1974, 269, 2913, 781, 4685, 4514, 883, 713, 1523, 1210, 938, 21097, 1796, 1383, 780, 306, 599, 596, 6059, 602, 2679, 707, 5326, 21097, 1796, 786, 1942, 1269, 4335, 269, 2334, 1269, 4335, 568, 851, 540, 707, 7167, 13052, 6578, 1317, 621, 6227, 519, 3355, 13258, 2877, 547, 1711, 519, 2497, 269, 1809, 1018, 952, 596, 849, 4941, 547, 4444, 513, 16681, 3167, 1025, 2658, 286, 2107, 5310, 3888, 3859, 8440, 547, 1379, 707, 1796, 1247, 1373, 13476, 7874, 286, 8409, 3606, 9276, 2887, 896, 7167, 13052, 1932, 2094, 789, 4125, 11449, 1007, 7221, 547, 2087, 707, 1870, 4238, 780, 3086, 267, 1946, 568, 7167, 13052, 1271, 585, 4213, 286, 4270, 267, 1589, 827, 513, 1286, 12051, 269, 1358, 991, 6191, 267, 2645, 267, 543, 6703, 547, 3132, 6517, 269, 2353, 891, 3688, 2154, 1713, 909, 12506, 3854, 9541, 267, 799, 666, 1491, 1296, 1354, 10451, 2614, 8907, 547, 9156, 741, 3790, 269, 1635, 4058, 543, 5883, 741, 7167, 13052, 6578, 3927, 267, 3549, 2327, 789, 21138, 6190, 2200, 547, 1332, 543, 3251, 8013, 1247, 9319, 936, 4944, 2056, 543, 9292, 1154, 20656, 780, 2414, 9414, 713, 1448, 2417, 267, 1577, 781, 2015, 1079, 7653, 5473, 4672, 8645, 18114, 3079, 540, 21097, 6763, 269, 14597, 972, 616, 1079, 12721, 14903, 5411, 3957, 5981 ]

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

[ 707, 9221, 543, 15198, 707, 14159, 6091, 563, 2414, 1451, 875, 547, 5265, 798, 891, 10649, 13514, 3643, 713, 3135, 256, 1677, 1265, 856, 811, 1344, 827, 1018, 5751, 666, 948, 596, 14867, 707, 1394, 543, 8405, 1928, 267, 3346, 30225, 18553, 15616, 18132, 545, 256, 0, 763, 1739, 568, 689, 15656, 15391, 15838, 779, 476, 1960, 274, 1557, 538, 14579, 16457, 538, 16253, 547, 9880, 540, 1010, 476, 1960, 272, 1557, 563, 3080, 1599, 540, 513, 17565, 568, 547, 5031, 1018, 568, 1271, 630, 324, 3052, 1421, 519, 1761, 585, 15583, 566, 538, 804, 10449, 1063, 2516, 689, 1114, 12977, 5148, 1776, 568, 547, 1747, 5432, 9259, 538, 513, 1007, 5133, 269, 769, 713, 2463, 267, 519, 3540, 9318, 17565, 949, 723, 6286, 585, 519, 2136, 2276, 269, 18831, 899, 519, 8168, 5742, 543, 31735, 807, 602, 1655, 20183, 3540, 9318, 13337, 3515, 4043, 547, 2097, 6306, 269, 634, 9322, 540, 519, 2136, 2276, 814, 13840, 1964, 539, 593, 519, 18618, 5127, 549, 4242, 540, 3864, 2528, 543, 2797, 9111, 269, 1452, 723, 1044, 30304, 540, 3013, 547, 799, 5481, 540, 11082, 723, 15849, 23624, 269, 634, 9759, 540, 519, 1977, 1212, 539, 814, 1044, 3160, 2924, 585, 519, 1367, 267, 543, 13840, 19366, 543, 856, 4751, 2516, 723, 1045, 12097, 543, 7551, 5368, 341, 580, 528, 730, 519, 3741, 540, 519, 1212, 539, 538, 741, 9620, 585, 3160, 2126, 538, 1977, 2486, 269, 634, 1034, 8037, 543, 3811, 4674, 729, 519, 3540, 2924, 3350, 3366, 676, 9410, 13162, 3751, 267, 12789, 1421, 538, 519, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 269, 30272, 267, 2705, 267, 519, 3747, 17146, 689, 3160, 2924, 585, 2043, 547, 2027, 2924, 630, 3530, 3305, 894, 2962, 543, 2147, 3800, 264, 585, 17051, 543, 824, 2516, 269, 6270, 6811, 2196, 2047, 4831, 547, 519, 5817, 3741, 602, 723, 1044, 519, 4493, 540, 1977, 2797, 9322, 282, 789, 7947, 519, 2856, 540, 513, 968, 10233, 15918, 785, 892, 2486, 540, 3160, 2043, 543, 3079, 3895, 513, 968, 10233, 23655, 892, 2486, 609, 2229, 1606, 534, 794, 539, 22864, 585, 930, 2516, 269, 769, 513, 6252, 3350, 267, 30921, 543, 14761, 3459, 547, 7903, 519, 16809, 540, 968, 20123, 12734, 1143, 2223, 543, 547, 31274, 593, 519, 556, 8586, 540, 1977, 2797, 267, 1514, 267, 543, 5339, 1686, 689, 519, 21169, 540, 1875, 26049, 2516, 269, 2311, 519, 3665, 267, 713, 3350, 11148, 547, 21592, 21372, 3401, 540, 12102, 2516, 547, 513, 1377, 540, 2956, 3160, 547, 602, 540, 519, 5853, 532, 12429, 338, 269, 5637, 519, 7569, 585, 2027, 1895, 2924, 543, 585, 18371, 1143, 5000, 513, 32692, 540, 12977, 1369, 519, 2136, 2276, 543, 5000, 1018, 14880, 631, 269, 5576, 956, 5424, 267, 12789, 1421, 2474, 968, 1492, 771, 684, 1746, 540, 3013, 3034, 763, 2136, 2276, 568, 4742, 5051, 3309, 17801, 1227, 543, 7292, 569, 269, 634, 17227, 13163, 9193, 602, 676, 476, 13078, 271, 519, 1977, 2551, 786, 581, 476, 2537, 2600, 17104, 267, 476, 1626, 2600, 3109, 543, 476, 1015, 2600, 7489, 12677, 269, 769, 519, 2250, 519, 2136, 2276, 814, 6707, 12842, 6634, 540, 11082, 689, 8464, 540, 2477, 1317, 789, 9862, 547, 519, 17888, 3864, 2528, 543, 9020, 16484, 17947, 519, 1977, 595, 7517, 540, 15698, 267, 7862, 267, 1367, 1143, 267, 9111, 269, 4024, 713, 4806, 3136, 547, 7173, 841, 607, 476, 2004, 2600, 540, 519, 2551, 3587, 17104, 610, 1875, 19009, 286, 4024, 519, 1007, 11082, 581, 15849, 23624, 883, 519, 554, 2416, 1729, 8789, 3864, 2528, 540, 519, 2136, 2276, 286, 1403, 789, 616, 711, 267, 952, 519, 2136, 2276, 3587, 5963, 18371, 543, 829, 341, 12184, 609, 606, 4835, 32692, 540, 12977, 267, 786, 621, 7639, 607, 513, 12666, 9111, 286, 634, 2797, 3961, 540, 519, 2136, 2276, 568, 12082, 538, 519, 3741, 13994, 4327, 538, 922, 15713, 6054, 269, 4024, 519, 632, 8862, 3480, 1436, 540, 519, 2136, 2276, 267, 952, 621, 4386, 267, 849, 1611, 922, 632, 12677, 1436, 286, 1403, 621, 1281, 543, 4892, 24044, 547, 15666, 547, 741, 12666, 11180, 543, 3864, 268, 549, 6838, 2797, 16809, 267, 519, 2136, 2276, 607, 649, 723, 1634, 621, 786, 24044, 547, 2291, 543, 786, 1246, 519, 824, 1361, 10999, 3989, 2706, 12741, 5196, 519, 11849, 24050, 540, 1686, 563, 1432, 5205, 1985, 568, 689, 513, 15588, 902, 26323, 1353, 912, 763, 772, 2529, 269, 786, 1831, 968, 2381, 528, 640, 3043, 892, 538, 476, 14225, 276, 267, 17227, 3785, 454, 6124, 14829, 2551, 20327, 6166, 519, 2956, 540, 7292, 18441, 607, 519, 3119, 15295, 2599, 540, 519, 4182, 779, 2104, 2208, 267, 4831, 532, 606, 10172, 267, 3500, 21212, 543, 4166, 547, 581, 19394, 3043, 2551, 269, 634, 1007, 7194, 1788, 602, 519, 4182, 786, 1831, 968, 2381, 528, 640, 3043, 892, 538, 476, 14225, 276, 269, 4438, 602, 1032, 267, 16543, 786, 17663, 476, 5392, 269, 280, 2600, 540, 519, 2551, 538, 4334, 547, 476, 2190, 269, 277, 2600, 585, 3571, 3966, 923, 267, 476, 1724, 269, 272, 2600, 585, 17051, 267, 476, 278, 269, 279, 2600, 585, 1306, 2103, 267, 543, 476, 274, 269, 279, 2600, 585, 3818, 24055, 5095, 2507, 563, 16449, 519, 12102, 5095, 267, 519, 6574, 2208, 568, 15810, 585, 3818, 24055, 5095, 267, 1306, 2103, 543, 3571, 3966, 923, 609, 476, 1001, 279, 1700, 18684, 271, 2208, 3928, 540, 476, 11260, 267, 476, 11152, 267, 543, 476, 5952, 2600, 267, 6606, 269, 634, 15810, 2208, 2557, 585, 17051, 568, 476, 4097, 2600, 30818, 634, 15295, 2707, 540, 2208, 9775, 2066, 2516, 269, 1280, 1383, 267, 11776, 8309, 547, 835, 21017, 540, 17104, 2208, 936, 713, 942, 12732, 267, 609, 519, 1964, 30289, 547, 2067, 2333, 630, 1492, 4430, 540, 24570, 936, 7972, 1040, 7324, 1306, 2103, 267, 11776, 8309, 547, 1614, 20453, 540, 519, 15810, 2208, 563, 296, 1589, 570, 650, 3205, 568, 513, 1434, 812, 267, 855, 594, 993, 711, 20994, 547, 1294, 1864, 4734, 607, 14199, 540, 3557, 269, 1261, 729, 1732, 982, 11686, 593, 4914, 3609, 2152, 269, 1261, 4941, 547, 1832, 519, 9459, 6876, 282, 646, 4941, 547, 21907, 609, 3345, 9705, 1354, 11686, 1705, 282, 646, 729, 811, 7255, 827, 2916, 1689, 982, 11686, 267, 1256, 609, 1010, 1401, 343, 517, 22994, 559, 4282, 282, 646, 729, 20916, 547, 581, 27162, 615, 593, 6739, 982, 11686, 282, 646, 1185, 513, 1732, 1745, 585, 5664, 5101, 6214, 982, 11686, 269, 769, 2489, 646, 23163, 513, 811, 2757, 267, 6671, 4914, 3609, 982, 11686, 563, 4002, 519, 824, 1688, 267, 7892, 8271, 646, 3592, 20739, 22486, 519, 3557, 4972, 269, 1261, 8937, 1540, 519, 16034, 540, 519, 14579, 6796, 269, 3487, 569, 14579, 6796, 10492, 2451, 1317, 789, 9969, 7517, 609, 11686, 779, 4914, 3609, 267, 1256, 607, 15645, 730, 676, 570, 650, 3205, 282, 14356, 789, 2451, 1317, 540, 519, 3190, 646, 2813, 3843, 547, 6963, 519, 3557, 4972, 269, 634, 14579, 6796, 568, 2907, 835, 540, 519, 10545, 3906, 538, 519, 2475, 6554, 269, 898, 949, 991, 6963, 267, 855, 570, 650, 3205, 729, 593, 519, 1259, 547, 21006, 621, 609, 513, 5779, 1579, 11232, 269, 9320, 646, 1185, 930, 3983, 2833, 609, 1977, 2377, 817, 625, 950, 646, 729, 2324, 585, 1401, 343, 517, 22994, 559, 563, 763, 14579, 6796, 568, 4440, 513, 7168, 12666, 3919, 267, 855, 602, 779, 711, 9670, 2094, 1082, 540, 519, 10492, 616, 972, 267, 2864, 982, 538, 930, 1164, 1790, 11691, 4357, 5823, 2816, 267, 1317, 789, 1616, 547, 3142, 827, 1158, 4708, 267, 1175, 899, 1034, 7323, 3013, 16311, 1218, 269, 4107, 267, 2705, 267, 616, 8348, 547, 4339, 1394, 2864, 982, 1577, 513, 20935, 2197, 1491, 5413, 540, 721, 269, 1358, 616, 8348, 547, 22036, 23434, 543, 8594, 538, 4057, 610, 18633, 2477, 1472, 519, 1158, 269, 1358, 17330, 1732, 3463, 618, 982, 570, 650, 3205, 5795, 873, 563, 4415, 570, 650, 3205, 779, 6028, 267, 22243, 516, 814, 1044, 930, 2911, 602, 930, 540, 519, 9972, 10492, 949, 2097, 1394, 269, 898, 779, 2009, 267, 855, 594, 1589, 949, 540, 873, 1843, 539, 547, 11686, 779, 4914, 3609, 607, 1454, 607, 789, 1705, 547, 570, 650, 3205, 779, 8098, 328, 626, 13577, 15024, 269, 9578, 267, 789, 786, 723, 6410, 593, 609, 741, 2729, 269, 594, 8969, 602, 1082, 786, 2097, 1394, 267, 2523, 2094, 621, 5654, 899, 25048, 701, 334, 779, 4914, 3609, 6138, 568, 6251, 547, 11686, 779, 982, 570, 650, 3205, 779, 729, 563, 303, 558, 701, 334, 779, 4108, 1995, 949, 1118, 1864, 811, 25091, 547, 519, 14579, 6796, 269, 14199, 2051, 514, 18120, 749, 729, 1360, 5363, 543, 11215, 540, 519, 14579, 6796, 267, 2016, 1010, 1995, 607, 513, 2489, 269, 594, 4126, 602, 568, 519, 2013, 267, 602, 646, 900, 12885, 18120, 749, 779, 8456, 4724, 891, 853, 730, 4972, 10492, 563, 4002, 4924, 745, 2001, 476, 1428, 267, 519, 1715, 3840, 8648, 5206, 606, 21107, 1572, 267, 968, 16031, 269, 11686, 568, 32559, 547, 6576, 779, 21784, 3034, 296, 2219, 602, 1934, 594, 1131, 1265, 1018, 519, 24273, 4250, 689, 6576, 269, 1548, 568, 6576, 779, 3463, 269, 594, 729, 711, 19225, 2989, 676, 519, 21107, 269, 898, 4667, 519, 1292, 3463, 568, 6739, 1199, 323, 1782, 538, 938, 12836, 267, 4352, 621, 849, 19528, 14699, 1996, 12907, 267, 9604, 9388, 267, 543, 1480, 2924, 28407, 269, 901, 568, 513, 2484, 3956, 689, 519, 3463, 676, 10609, 337, 2313, 3832, 341, 602, 968, 2171, 786, 30565, 596, 2223, 543, 16459, 28862, 538, 18010, 269, 898, 1767, 519, 9972, 4987, 8387, 945, 1449, 1881, 1354, 519, 14130, 11106, 9730, 1767, 789, 1185, 711, 1044, 4280, 968, 1729, 1491, 3800, 547, 8396, 6739, 13779, 543, 2149, 11180, 3157, 1848, 1703, 568, 1100, 14336, 566, 602, 519, 28592, 723, 9308, 26203, 519, 13359, 1184, 676, 28892, 13359, 6191, 267, 855, 2864, 602, 519, 28592, 723, 1031, 5859, 18660, 15361, 547, 1489, 930, 10457, 630, 23871, 2794, 543, 9995, 619, 264, 936, 10830, 776, 269, 10557, 2311, 4248, 1131, 581, 10583, 519, 28592, 4121, 689, 1010, 1404, 1504, 563, 763, 29943, 568, 602, 519, 12924, 307, 11099, 602, 9111, 538, 3013, 568, 5393, 17866, 267, 4352, 865, 2484, 594, 723, 711, 4862, 1022, 3743, 2707, 267, 1519, 519, 12924, 307, 267, 2161, 602, 6576, 729, 3743, 585, 6004, 269, 11686, 779, 9550, 269, 13298, 621, 5654, 899, 621, 779, 1175, 11877, 18683, 689, 519, 12924, 307, 543, 824, 24273, 269, 634, 12924, 307, 14659, 621, 568, 519, 1034, 1271, 1957, 538, 519, 1158, 267, 609, 519, 5100, 652, 1065, 13024, 543, 15769, 269, 898, 729, 4628, 11215, 540, 10830, 776, 22735, 267, 1603, 1082, 4930, 543, 9375, 10118, 3232, 1282, 519, 5859, 5885, 1200, 543, 10213, 519, 1977, 17069, 864, 547, 8917, 585, 1200, 269, 1656, 3013, 16053, 873, 269, 1924, 1631, 789, 16620, 513, 19625, 540, 6739, 562, 518, 1091, 9361, 538, 513, 4158, 4055, 538, 853, 269, 22642, 7921, 585, 1200, 2530, 269, 1358, 3409, 891, 1906, 562, 518, 1091, 941, 811, 3532, 982, 519, 642, 13550, 539, 1715, 3840, 8648, 267, 711, 547, 2446, 519, 6115, 5403, 267, 519, 2101, 5121, 267, 543, 1034, 824, 2923, 19093, 630, 21955, 16737, 1916, 16031, 269, 16334, 11839, 814, 967, 1112, 539, 24369, 28592, 585, 9550, 1199, 323, 1782, 269, 634, 12924, 307, 4440, 814, 602, 1082, 1065, 13024, 8720, 6837, 267, 1454, 1447, 519, 6519, 5600, 267, 610, 5859, 13515, 1472, 519, 2197, 269, 3657, 24369, 6739, 21190, 2731, 602, 1454, 811, 3532, 982, 519, 1715, 3840, 8648, 286, 1403, 865, 267, 1287, 519, 28592, 616, 2706, 5443, 267, 543, 519, 12924, 307, 21107, 1058, 723, 1767, 602, 649, 1058, 4250, 519, 28592, 1317, 789, 616, 2706, 5443, 267, 711, 1317, 789, 723, 930, 1434, 21190, 269, 0, 268, 3370, 281, 476, 6734, 9484, 476, 1001, 273, 454, 268, 5784, 281, 476, 25834, 279, 4817, 454, 10674, 2517, 4178, 3052, 1245, 985, 322, 1905, 2593, 2878, 9253, 1154, 18234, 267, 3371, 781, 513, 2110, 17431, 540, 15835, 6658, 543, 16213, 540, 513, 476, 272, 18741, 6945, 630, 3953, 269, 1428, 31684, 744, 684, 806, 264, 18234, 18409, 542, 4446, 269, 7490, 4063, 267, 519, 18234, 729, 24268, 3330, 513, 27948, 27241, 630, 651, 10134, 27488, 856, 264, 1210, 606, 3167, 19460, 269, 634, 4890, 13248, 540, 519, 4496, 568, 2944, 782, 519, 1247, 513, 4412, 2033, 18723, 568, 1025, 5074, 883, 519, 9044 ]

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

[ 540, 22540, 543, 667, 637, 6577, 543, 519, 2160, 540, 595, 860, 928, 666, 1631, 1732, 1353, 543, 1174, 519, 3601, 540, 891, 6419, 3889, 267, 799, 616, 1271, 585, 1312, 2596, 1382, 543, 3156, 563, 2662, 20071, 335, 8962, 616, 606, 4948, 1995, 538, 513, 8602, 8685, 281, 1879, 519, 1216, 568, 27071, 513, 9764, 642, 29448, 568, 4646, 269, 15380, 267, 971, 627, 597, 3149, 616, 2864, 7123, 269, 5381, 2483, 24357, 27913, 2324, 609, 17029, 663, 654, 6856, 693, 519, 2160, 540, 769, 985, 321, 30638, 723, 11567, 952, 543, 875, 3114, 6547, 666, 581, 6766, 676, 6098, 5854, 1049, 29835, 540, 519, 2746, 1218, 269, 1358, 941, 2111, 547, 6542, 602, 29835, 609, 513, 8955, 11237, 1281, 711, 1860, 519, 4398, 540, 513, 3114, 5385, 5114, 543, 602, 519, 9599, 7636, 1895, 6411, 1152, 607, 513, 4715, 1807, 538, 519, 5114, 563, 288, 4749, 1031, 5114, 538, 5214, 7998, 568, 7576, 30858, 18839, 269, 898, 4249, 267, 585, 1383, 267, 606, 1271, 1909, 538, 538, 519, 10282, 540, 1007, 3114, 2483, 18893, 673, 21655, 2636, 14236, 519, 1648, 2497, 543, 6422, 3601, 540, 1950, 7061, 1949, 269, 12824, 689, 519, 2160, 540, 654, 14660, 345, 7921, 1459, 1079, 1007, 4485, 540, 17396, 1079, 8820, 21655, 563, 257, 21607, 606, 29835, 883, 519, 1062, 543, 7747, 875, 621, 27372, 1701, 4340, 547, 21997, 7905, 18578, 5362, 645, 3700, 1676, 267, 713, 568, 519, 3841, 334, 540, 9804, 21655, 19601, 1724, 269, 5881, 269, 1001, 279, 1923, 7926, 5240, 454, 1321, 269, 5881, 269, 1001, 279, 1923, 7926, 5240, 454, 6734, 269, 5881, 269, 1001, 279, 1923, 7926, 5240, 454, 736, 269, 5881, 269, 1001, 279, 1923, 5295, 543, 15379, 7177, 454, 736, 269, 5881, 269, 1001, 279, 1923, 6176, 5303, 454, 736, 269, 5881, 269, 1001, 279, 1923, 10049, 7070 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3710, 513, 2203, 602, 568, 9277, 547, 3406, 585, 2016, 12673, 689, 606, 14133, 6656, 3330, 606, 4950, 11422, 269, 898, 3406, 267, 9060, 543, 28085, 547, 519, 2953, 17835, 269, 594, 723, 1500, 606, 968, 13548, 6818, 892, 1630, 18978, 4756, 865, 602, 606, 17692, 3948, 2488, 519, 585, 1142, 547, 2253, 519, 3406, 2417, 952, 519, 2953, 3239, 1281, 711, 6818, 563, 289, 7473, 267, 950, 621, 723, 3406, 998, 519, 9343, 538, 519, 14133, 6656, 607, 513, 968, 992, 269, 14403, 6745, 739, 12541, 892, 519, 968, 2690, 1142, 892, 8520, 1175, 733, 328, 684, 1132, 269, 6969, 594, 2322, 1540, 538, 519, 968, 9281, 892, 3948, 621, 22646, 9488, 782, 3515, 543, 29860, 856, 540, 519, 585, 1142, 543, 547, 519, 1985, 7084, 267, 855, 1631, 594, 993, 12758, 538, 519, 968, 2690, 1142, 892, 585, 2479, 7498, 1692, 666, 594, 2736, 713, 1510, 1210, 645, 3918, 288, 298, 267, 939, 9476, 713, 1281, 711, 960, 950, 1210, 513, 17692, 3948, 3330, 513, 968, 2690, 1142, 9731, 2690, 1142, 2754, 267, 2754, 476, 272, 267, 273, 267, 274, 3092, 594, 1616, 547, 3406, 593, 1535, 5991, 13246, 540, 3688, 269, 1879, 782, 3688, 616, 22646, 585, 543, 22434, 621, 568, 9277, 547, 1376, 782, 936, 593, 2754, 6746, 476, 273, 269, 594, 723, 1500, 606, 17692, 3948, 950, 10478, 585, 519, 3688, 2094, 711, 782, 3688, 568, 2016, 585, 782, 635, 534, 625, 563, 2005, 1568, 5386, 1510, 519, 17692, 267, 855, 1287, 621, 568, 1100, 4502, 547, 803, 269, 1924, 1775, 991, 547, 2347, 519, 3406, 585, 3688, 18854, 519, 17692, 543, 1287, 1786, 820, 519, 585, 1142, 543, 1847, 4464, 563, 296, 723, 1224, 824, 3584, 267, 855, 1336, 1100, 3070, 547, 713, 563, 12552, 538, 4434, 269, 0, 5719, 2718, 609, 10266, 543, 4911, 518, 693, 2696, 281, 1548, 568, 519, 22560, 21887, 593, 30248, 286, 910, 3487, 476, 273, 454, 305, 822, 4223, 529, 1284, 514, 6199, 24829, 513, 4190, 5813, 689, 1010, 4651, 267, 24497, 962, 320, 752, 990, 1284, 514, 6199, 267, 593, 519, 2956, 540, 11589, 938, 4664, 538, 513, 2635, 543, 3339, 6073, 269, 24497, 962, 320, 752, 990, 1284, 514, 6199, 4280, 2443, 1548, 568, 519, 5048, 540, 519, 14235, 538, 519, 22560, 602, 3081, 267, 968, 341, 685, 344, 573, 558, 589, 9618, 517, 2443, 1496, 7474, 316, 589, 9618, 517, 729, 14980, 2223, 1739, 519, 6727, 2669, 540, 1010, 1079, 14930, 286, 6496, 519, 22560, 991, 547, 1217, 721, 602, 589, 9618, 517, 12794, 298, 334, 1156, 267, 519, 4400, 623, 1845, 339, 585, 519, 3003, 6014, 1004, 267, 1185, 1100, 4890, 20286, 1996, 13201, 1335, 585, 519, 2669, 540, 1010, 1079, 14930, 286, 14348, 649, 2731, 723, 16545, 602, 646, 1131, 723, 1185, 971, 20286, 1996, 13201, 1335, 888, 305, 822, 962, 320, 752, 990, 1284, 514, 6199, 6045, 602, 519, 5048, 540, 713, 14235, 538, 519, 22560, 568, 2965, 513, 1360, 1114, 835, 269, 634, 3339, 1480, 5114, 585, 513, 4651, 2390, 519, 2669, 540, 1010, 1453, 1131, 6157, 581, 547, 3956, 856, 538, 1928, 269, 634, 22560, 6645, 721, 602, 26826, 12794, 298, 334, 1156, 4769, 1406, 2769, 1256, 713, 3339, 1480, 5114, 1317, 267, 607, 519, 25391, 1156, 717, 611, 565, 267, 646, 729, 7683, 968, 517, 1289, 892, 538, 1010, 3028, 585, 519, 6014, 4182, 269, 15526, 3116, 267, 2705, 267, 568, 711, 1152, 4847, 547, 2769, 891, 2010, 540, 3339, 1480, 6547, 540, 1928, 543, 7553, 282, 621, 568, 2965, 2318, 585, 873, 547, 798, 865, 563, 303, 664, 769, 7743, 12763, 454, 4263, 835, 1439, 540, 519, 3929, 8552, 267, 519, 26155, 4673, 630, 27770, 685, 539, 15576, 534, 476, 2767, 321, 264, 29808, 721, 711, 547, 581, 5378, 685, 330, 553, 515, 620, 803, 17010, 586, 1774, 597, 4571, 2967, 2443, 711, 547, 2769, 1928, 585, 519, 2530, 540, 513, 6068, 835, 609, 606, 8515, 2484, 3564, 519, 2343, 269, 2290, 540, 519, 6085, 2456, 267, 609, 519, 11495, 2012, 540, 24497, 1744, 331, 27622, 1649, 12794, 312, 520, 558, 630, 305, 822, 1744, 331, 27622, 267, 519, 5067, 540, 519, 29152, 1070, 6941, 602, 835, 1058, 711, 3172, 1518, 519, 1928, 3564, 922, 3020, 6708, 269, 1306, 13201, 1335, 6645, 721, 2443, 968, 2791, 616, 711, 811, 17519, 585, 1496, 1492, 21549, 316, 982, 594, 993, 3034, 763, 681, 3711, 600, 13798, 1881, 713, 538, 23664, 577, 582, 661, 633, 331, 630, 763, 16572, 540, 631, 712, 940, 476, 1724, 281, 1556, 2187, 2704, 586, 527, 330, 553, 515, 740, 600, 620, 803, 17010, 586, 1774, 597, 4571, 2967, 2443, 695, 685, 2763, 16852, 1295, 327, 6210, 6692, 522, 4594, 267, 642, 685, 5069, 6308, 3279, 685, 518, 693, 345, 15879, 586, 1774, 597, 620, 1295, 327, 6210, 6692, 522, 4594, 2443, 688, 516, 328, 1990, 12317, 512, 6559, 880, 2443, 454, 3080, 1058, 711, 2769, 1928, 585, 519, 21549, 23494, 267, 2094, 1496, 1372, 987, 316, 568, 519, 1259, 540, 519, 1158, 269, 1496, 1103, 1249, 267, 316, 835, 602, 3123, 1928, 547, 5128, 3564, 519, 1259, 540, 519, 1158, 568, 2808, 547, 581, 18174, 880, 3034, 1607, 29611, 568, 711, 693, 782, 827, 18460, 519, 968, 7538, 892, 1928, 540, 581, 516, 29713, 267, 855, 2864, 7446, 547, 3172, 1518, 543, 11694, 519, 1928, 540, 2530, 2443, 968, 341, 685, 5069, 6308, 1406, 599, 324, 597, 693, 345, 15879, 892, 2443, 968, 8619, 6748, 1928, 547, 5128, 892, 2443, 2484, 3564, 519, 2343, 563, 4407, 519, 681, 3711, 600, 17246, 1749, 721, 1934, 547, 2769, 606, 7050, 4110, 540, 1928, 267, 538, 519, 1360, 1985, 10300, 778, 320, 630, 1724, 281, 1321, 264, 646, 1309, 1903, 721, 1996, 711, 31366, 2614, 912, 2108, 298, 565, 11465, 1352, 685, 324, 3626, 5378, 23042, 559, 737, 6557, 334, 1352, 1406, 345, 643, 340, 932, 778, 600, 574, 2443, 688, 516, 328, 1990, 12317, 513, 577, 345, 926, 269, 11875, 320, 586, 604, 577, 611, 267, 642, 685, 344, 573, 698, 267, 642, 685, 344, 604, 1662, 701, 880, 536, 685, 2742, 685, 553, 822, 642, 685, 344, 778, 1794, 528, 536, 1406, 525, 16852, 9366, 16634, 737, 565, 1990, 12317, 561, 685, 327, 778, 514, 693, 345, 15879, 642, 685, 344, 778, 1794, 528, 642, 685, 6614, 328, 685, 528, 11465, 779, 18255, 6737, 2443, 5808, 1197, 1281, 711, 22378, 333, 607, 519, 590, 1137, 26017, 568, 2808, 547, 581, 16970, 269, 13298, 267, 835, 1058, 581, 12922, 543, 7255, 267, 543, 3406, 835, 779, 3527, 267, 543, 2132, 538, 512, 525, 16852, 9366, 2507, 2353, 540, 713, 568, 547, 5965, 13951, 547, 2132, 543, 12687, 909, 689, 835, 779, 3207, 3034, 763, 6240, 538, 713, 2034, 10300, 778, 320, 568, 2731, 519, 1482, 2443, 1175, 607, 519, 4082, 540, 606, 7050, 4110, 540, 1928, 568, 513, 3903, 267, 547, 711, 2769, 519, 1697, 267, 3339, 4110, 540, 1928, 568, 849, 513, 3903, 563, 763, 1744, 592, 2559, 589, 745, 577, 630, 312, 648, 327, 1546, 685, 1695, 476, 4375, 275, 281, 272, 267, 277, 264, 13151, 3307, 569, 18304, 909, 519, 22560, 2070, 540, 1312, 7475, 540, 519, 3929, 8552, 912, 268, 2201, 519, 835, 1688, 2443, 968, 292, 514, 5378, 330, 1662, 514, 620, 554, 877, 527, 586, 1774, 597, 4571, 2967, 2443, 5213, 1406, 1928, 3054, 23494, 585, 519, 21549, 1547, 9232, 454, 268, 536, 269, 1809, 267, 693, 519, 1482, 942, 2443, 968, 298, 565, 11465, 695, 685, 324, 3626, 5378, 23042, 559, 737, 6557, 334, 1352, 1406, 345, 643, 340, 932, 778, 600, 574, 267, 688, 516, 328, 1990, 12317, 513, 577, 345, 732, 328, 2443, 5808, 1197, 1281, 711, 22378, 333, 607, 519, 590, 1137, 26017, 568, 2808, 16970, 3034, 763, 22560, 2306, 14190, 1734, 585, 10266, 454, 3080, 540, 519, 1034, 5363, 2835, 593, 519, 1888, 540, 586, 1170, 584, 574, 2443, 968, 572, 3164, 2591, 543, 7965, 538, 938, 2729, 892, 1107, 568, 10435, 23281, 540, 22206, 1359, 269, 898, 568, 1759, 593, 513, 3126, 540, 12909, 689, 24497, 962, 6308, 577, 752, 17340, 345, 1676, 593, 519, 3390, 540, 586, 1170, 584, 574, 269, 1261, 5795, 891, 12909, 1247, 18460, 18068, 585, 519, 2860, 602, 646, 6038, 5293, 2476, 689, 563, 3891, 6045, 602, 1082, 2959, 5815, 519, 8417, 602, 17194, 814, 547, 938, 4664, 269, 1280, 1383, 267, 519, 22560, 17767, 602, 1282, 5712, 540, 3665, 1928, 543, 7092, 630, 3697, 513, 4807, 1282, 519, 4332, 1184, 264, 649, 949, 957, 538, 513, 6073, 602, 1281, 711, 2992, 938, 1898, 1582, 269, 898, 4061, 2488, 513, 1496, 577, 3430, 582, 316, 5356, 1496, 1721, 1200, 547, 3142, 538, 519, 2142, 527, 12794, 300, 1731, 323, 1662, 316, 547, 948, 1200, 4894, 519, 4539, 540, 1200, 4664, 563, 1103, 2489, 267, 519, 22560, 1281, 711, 3180, 835, 4628, 18177, 585, 519, 642, 3298, 646, 1496, 528, 1352, 316, 2306, 896, 2604, 269, 717, 1673, 6487, 602, 896, 5918, 816, 972, 568, 2370, 513, 1268, 666, 798, 547, 1852, 1496, 26132, 316, 4664, 269, 1284, 616, 711, 4397, 547, 581, 2111, 547, 7903, 519, 1928, 11735, 267, 5431, 602, 513, 2362, 3483, 6818, 267, 543, 3180, 6000, 620, 334, 1993, 269, 2334, 1131, 581, 32601, 269, 717, 1673, 267, 538, 1198, 267, 6645, 721, 267, 968, 1103, 8090, 540, 1928, 267, 596, 786, 561, 1662, 856, 282, 596, 786, 2161, 1919, 267, 543, 596, 949, 1256, 581, 11613, 18617, 693, 602, 4090, 602, 789, 616, 3020, 269, 1809, 950, 519, 1928, 7449, 1938, 267, 596, 786, 723, 519, 6418, 4708, 799, 786, 1450, 596, 547, 5905, 513, 4514, 851, 540, 3054, 543, 8275, 602, 1018, 596, 1767, 568, 711, 519, 1259, 596, 2731, 1745, 267, 602, 596, 798, 711, 3494, 1018, 596, 1767, 269, 1656, 1496, 294, 1673, 3081, 267, 316, 594, 1810, 1406, 1491, 1346, 6898, 1500, 538, 519, 31462, 525, 540, 7920, 1928, 607, 8204, 596, 3034, 4407, 519, 1007, 3993, 1281, 2154, 513, 737, 777, 23022, 585, 1018, 1352, 1767, 267, 519, 1249, 568, 602, 519, 22560, 786, 5944, 2488, 713, 7271, 585, 1200, 269, 1284, 1058, 4061, 711, 7623, 938, 7965, 676, 10874, 908, 6000, 610, 4743, 22350, 16944, 563, 2171, 6513, 938, 1378, 32185, 454, 4263, 519, 1482, 942, 267, 649, 616, 711, 4625, 1379, 1652, 547, 1852, 938, 4664, 269, 7743, 569, 25194, 938, 3510, 998, 7214, 9355, 267, 3226, 519, 6284, 602, 13201, 1335, 568, 711, 2921, 20947, 1996, 721, 998, 938, 586, 1170, 584, 574, 267, 666, 948, 721, 11104, 3585, 269, 28214, 14460, 676, 13201, 1335, 666, 3006, 581, 1256, 811, 2352, 982, 519, 2168, 1928, 543, 7092, 3294, 563, 8855, 532, 602, 519, 4493, 540, 782, 586, 1170, 584, 574, 568, 717, 1673, 779, 2648, 585, 721, 630, 553, 2352, 607, 602, 949, 581, 547, 1294, 1070, 543, 602, 1454, 540, 1018, 649, 7985, 568, 796, 8588, 547, 938, 2250, 9073, 267, 666, 1683, 513, 3106, 2121, 547, 2061, 721, 689, 14156, 1863, 1922, 16226, 856, 540, 1852, 563, 1103, 2474, 540, 1201, 1090, 532, 875, 649, 2070, 519, 7965, 538, 938, 2729, 267, 24497, 17340, 345, 1676, 15091, 519, 3017, 1063, 1697, 5288, 269, 16789, 2055, 912, 268, 1284, 991, 547, 2307, 2055, 547, 717, 1673, 267, 711, 2055, 1996, 717, 1673, 269, 1306, 6362, 968, 3963, 9495, 568, 21494, 543, 4636, 952, 621, 568, 547, 968, 9080, 613, 717, 1673, 2223, 855, 568, 2318, 267, 543, 1256, 1898, 267, 952, 621, 786, 948, 721, 1174, 938, 2078, 609, 717, 1673, 563, 268, 536, 269, 19457, 938, 1928, 609, 717, 1673, 267, 3226, 950, 649, 1810, 1406, 4628, 1174, 621, 267, 786, 1106, 513, 6125, 540, 3972, 543, 3142, 13924, 883, 938, 2729, 1454, 811, 7184, 982, 649, 2479, 1223, 676, 7214, 1797, 4805, 563, 268, 524, 269, 634, 4222, 540, 938, 2078, 609, 717, 1673, 5673, 593, 938, 3972, 602, 717, 1673, 6499, 1152, 1018, 568, 1655, 585, 721, 269, 2334, 3972, 666, 1152, 1020, 267, 2705, 267, 952, 649, 1810, 1406, 3970, 938, 2078, 609, 717, 1673, 547, 1018, 649, 616, 2111, 547, 4628, 10146, 563, 305, 822, 17340, 345, 1676, 6045, 602, 561, 4770, 856, 1996, 717, 1673, 585, 3571, 9228, 967, 29924, 547, 938, 1928, 666, 2965, 2333, 519, 1928, 269, 1403, 717, 1673, 941, 5963, 1202, 17567, 547, 938, 1928, 630, 294, 1673, 17246, 573, 1070, 938 ]

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

[ 960, 543, 3688, 666, 581, 1031, 547, 1118, 519, 13844, 540, 2147, 4502, 2663, 593, 563, 290, 13072, 268, 3286, 23194, 1519, 519, 27300, 540, 960, 543, 3688, 1063, 6105, 616, 1634, 607, 4308, 23194, 269, 2755, 519, 11460, 568, 1419, 2404, 609, 11315, 610, 11174, 1514, 9753, 267, 891, 23194, 616, 32047, 3238, 676, 897, 1601, 531, 3906, 543, 2043, 547, 4309, 6006, 607, 513, 4123, 11325, 585, 3063, 267, 1447, 267, 610, 25031, 7221, 269, 1280, 1383, 267, 1282, 519, 476, 3192, 271, 338, 267, 623, 10134, 328, 10870, 5549, 269, 654, 550, 883, 606, 11460, 8195, 609, 519, 6739, 2229, 547, 4123, 897, 320, 21360, 585, 853, 565, 747, 333, 11535, 642, 617, 6390, 269, 769, 476, 1960, 271, 267, 519, 1544, 729, 21401, 856, 547, 1269, 274, 5479, 543, 3769, 476, 1015, 6739, 32472, 9635, 602, 623, 10134, 328, 10870, 682, 1078, 610, 4421, 711, 1279, 1310, 519, 8223, 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 ]

[ 730, 14384, 267, 610, 538, 824, 1913, 267, 1152, 835, 30756, 514, 568, 2479, 5116, 3330, 519, 1101, 1212, 332, 566, 12068, 693, 1022, 835, 942, 563, 4263, 519, 12032, 540, 713, 3355, 5123, 540, 519, 1212, 332, 566, 1184, 519, 3788, 616, 882, 11343, 547, 519, 2034, 12068, 547, 4894, 1022, 11849, 689, 519, 30756, 514, 3294, 269, 4495, 713, 814, 1044, 6192, 519, 24790, 540, 519, 21549, 616, 5116, 883, 513, 9023, 26745, 269, 1879, 22799, 267, 17285, 9115, 630, 7945, 607, 14382, 12330, 267, 30756, 514, 18969, 3092, 264, 616, 6569, 267, 6394, 543, 954, 1042, 1369, 519, 12406, 540, 519, 1212, 332, 1807, 1756, 563, 290, 8145, 730, 3788, 610, 607, 1127, 454, 290, 8145, 730, 3788, 616, 4122, 5219, 547, 607, 834, 10449, 2668, 1717, 267, 20248, 972, 616, 1100, 607, 1127, 267, 1018, 616, 2451, 616, 519, 17866, 18287, 1881, 5642, 15998, 563, 763, 1212, 332, 730, 3788, 616, 11843, 547, 513, 16267, 547, 2569, 519, 5642, 15998, 547, 513, 5386, 11491, 2544, 1826, 11007, 799, 538, 2490, 568, 5116, 538, 513, 20177, 8708, 269, 634, 2012, 6676, 543, 606, 7114, 6003, 616, 7923, 563, 763, 8708, 8383, 919, 782, 540, 519, 1212, 332, 730, 3788, 269, 769, 519, 8966, 2680, 602, 606, 11849, 8708, 568, 13385, 547, 3180, 782, 540, 519, 607, 1127, 267, 606, 3063, 8708, 568, 1031, 563, 2026, 327, 11149, 616, 4371, 2394, 5528, 616, 4607, 689, 519, 1920, 610, 32358, 269, 1547, 634, 607, 1127, 616, 1287, 267, 1641, 547, 2657, 22769, 267, 18808, 609, 2687, 547, 519, 6044, 2016, 563, 19675, 1100, 5528, 581, 4607, 1369, 513, 10257, 942, 630, 32191, 476, 1321, 3275, 1070, 538, 1899, 609, 2657, 22769, 267, 796, 13094, 1212, 332, 730, 3788, 616, 954, 1042, 1369, 519, 12406, 540, 519, 1212, 332, 1807, 1756, 269, 0, 2414, 2149, 2933, 267, 930, 2831, 6385, 1689, 2681, 950, 741, 5054, 1689, 267, 855, 669, 877, 548, 976, 1689, 4778, 538, 8966, 2081, 950, 789, 2170, 609, 824, 669, 877, 548, 976, 269, 14151, 3557, 2160, 3173, 723, 4362, 602, 891, 2681, 2242, 1810, 1405, 4755, 834, 719, 6361, 7308, 15918, 826, 257, 2443, 3079, 267, 789, 6655, 1114, 2010, 540, 1344, 1282, 1271, 1514, 4205, 563, 3008, 308, 3173, 723, 4362, 602, 2681, 2242, 538, 669, 877, 548, 976, 6655, 1114, 2010, 540, 1344, 1282, 1271, 1514, 4205, 269, 634, 28499, 262, 1560, 26145, 543, 2212, 2681, 902, 616, 3226, 1271, 1282, 733, 3949, 936, 8513, 543, 8951, 563, 290, 13072, 281, 23729, 534, 7454, 454, 2690, 1383, 267, 950, 5256, 669, 877, 548, 976, 4161, 1142, 824, 585, 8513, 610, 513, 4775, 267, 741, 7801, 3587, 17321, 543, 1454, 811, 7920, 269, 631, 2297, 602, 4159, 17321, 26145, 950, 789, 616, 10728, 616, 811, 2693, 547, 1935, 741, 18545, 267, 543, 1346, 602, 3035, 17321, 2212, 4778, 616, 811, 2693, 547, 3094, 24515, 269, 4746, 267, 875, 3533, 741, 9843, 1689, 2681, 568, 606, 1271, 27667, 540, 799, 669, 877, 548, 517, 786, 3094, 513, 1236, 3305, 880, 563, 763, 2164, 540, 519, 1353, 616, 3370, 2228, 2221, 538, 519, 4760, 10334, 16707, 563, 2419, 877, 548, 976, 3335, 723, 16889, 4778, 602, 2039, 689, 6960, 547, 3039, 267, 609, 23456, 540, 5835, 267, 855, 1142, 669, 877, 548, 517, 814, 2189, 24795, 269, 4438, 513, 16311, 267, 519, 28499, 1397, 6505, 586, 749, 3298, 267, 24453, 267, 16719, 543, 2881, 31309, 2478, 269, 21452, 267, 950, 519, 669, 877, 548, 976, 4951, 11325, 741, 26145, 689, 513, 3845, 543, 4553, 602, 4159, 609, 513, 834, 3650, 6823, 257, 1935, 1354, 8396, 267, 519, 1271, 2681, 6786, 593, 519, 4174, 6244, 2694, 540, 519, 1560, 543, 2212, 941, 20020, 18050, 563, 257, 3528, 1210, 6505, 2681, 6786, 543, 20427, 4657, 741, 2168, 5920, 267, 519, 669, 877, 548, 976, 262, 4703, 1831, 3592, 899, 513, 3915, 4580, 2443, 519, 16771, 540, 513, 4339, 568, 1419, 4956, 1354, 789, 2965, 1118, 2168, 3346, 2437, 700, 580, 517, 1767, 269, 834, 763, 16771, 568, 519, 835, 602, 3123, 922, 18545, 547, 18956, 269, 2755, 3006, 789, 798, 4497, 538, 2168, 8396, 267, 891, 733, 3949, 616, 1360, 2110, 2443, 2947, 547, 476, 1428, 7643, 269, 2859, 1419, 982, 711, 267, 741, 2681, 10525, 1439, 519, 16311, 1354, 789, 1256, 1205, 3323, 4799, 1607, 568, 519, 1101, 1353, 540, 922, 2186, 269, 634, 1382, 2319, 3576, 5961, 540, 2681, 4441, 543, 6059, 519, 8417, 540, 1114, 2584, 648, 1061, 832, 538, 741, 12514, 269, 3973, 267, 789, 1031, 1344, 593, 519, 17550, 543, 8417, 540, 519, 2584, 648, 1061, 832, 540, 669, 877, 548, 976, 267, 543, 941, 2111, 547, 2268, 519, 4778, 2965, 2938, 676, 519, 28499, 269, 9282, 713, 1505, 814, 5892, 1044, 1031, 547, 22945, 11979, 630, 4875, 4474, 264, 32442, 267, 713, 1353, 568, 519, 1101, 547, 22945, 4028, 2681, 1689, 1247, 6220, 519, 3308, 22740, 8481, 540, 519, 2831, 896, 1353, 563, 2467, 616, 5111, 476, 8182, 2249, 540, 669, 877, 548, 976, 538, 519, 1158, 269, 26890, 6150, 669, 877, 548, 976, 630, 2419, 877, 548, 517, 1608, 344, 696, 7806, 639, 264, 616, 5065, 547, 519, 26768, 18686, 1107, 4481, 29874, 543, 18142, 17936, 269, 1358, 616, 9631, 16622, 5387, 543, 2661, 9247, 22072, 2729, 4849, 950, 20282, 269, 3509, 669, 877, 548, 976, 616, 693, 1390, 1981, 267, 607, 9552, 540, 741, 9249, 568, 9648, 693, 24034, 3928, 563, 763, 1353, 729, 14102, 676, 606, 6789, 308, 15870, 288, 9886, 543, 676, 1367, 13384, 832, 563, 763, 3427, 540, 5020, 7070, 568, 606, 4081, 1770, 540, 6789, 308, 781, 5441, 540, 27565, 8551, 543, 7070, 563, 306, 18588, 2274, 6387, 1923, 31823, 2336, 5415, 6090, 616, 3742, 538, 1164, 26024, 22959, 454, 866, 269, 4905, 269, 1001, 279, 1923, 28039, 17430, 3832, 26179, 8862, 559, 3559, 916, 268, 26536, 28059, 12844, 333, 454, 1692, 2371, 1294, 1769, 454, 866, 269, 4905, 269, 1001, 279, 1923, 15751, 6441, 644, 342, 12127, 268, 26536, 28059, 6154, 756, 4026, 708, 6601, 529, 326, 879, 454, 4002, 519, 1259, 547, 606, 10995, 8047, 267, 21575, 689, 769, 985, 321, 30638, 543, 21499, 1459, 606, 5841, 8665, 602, 8238, 558, 3585, 6272, 7061, 6901, 269, 769, 3355, 6901, 267, 519, 1062, 814, 10446, 630, 516, 264, 29171, 2642, 8097, 2553, 602, 616, 19951, 3044, 538, 2413, 7061, 9804, 20682, 269, 901, 2982, 875, 6191, 1223, 1404, 513, 811, 3860, 1909, 538, 1382, 538, 519, 2104, 563, 2171, 4163, 16389, 538, 938, 22836, 267, 519, 10754, 616, 12297, 1540, 609, 10859, 22052, 26127, 6517, 267, 855, 538, 519, 1382, 8047, 6901, 616, 1869, 1373, 2966, 676, 2483, 1432, 6087, 9211, 547, 581, 11843, 24847, 267, 585, 1383, 1282, 15591, 286, 1323, 15834, 2319, 540, 3173, 814, 5249, 856, 519, 3877, 540, 875, 2483, 2690, 519, 1101, 942, 267, 3744, 723, 10502, 6027, 519, 2500, 5122, 5279, 540, 513, 2582, 11140, 538, 3070, 269, 901, 4909, 5813, 540, 606, 590, 10064, 293, 7905, 1223, 849, 17362, 519, 1259, 585, 2104, 2564, 26129, 563, 16978, 3740, 5279, 568, 835, 540, 519, 1883, 3601, 602, 2636, 6675, 547, 2170, 269, 5020, 3294, 5673, 593, 713, 7613, 281, 1082, 6211, 3157, 4125, 2483, 4263, 519, 808, 4488, 2622, 1290, 22683, 8058, 538, 8303, 538, 4728, 476, 1001, 279, 267, 519, 29163, 4659, 585, 21558, 5303, 14889, 307, 786, 581, 2519, 593, 519, 5767, 3466, 543, 10124, 538, 8955, 20619, 540, 29322, 269, 7324, 824, 1919, 267, 3173, 693, 519, 1630, 1054, 3838, 609, 519, 589, 659, 1156, 4741, 585, 6715, 13577, 8752, 7076, 13870, 630, 288, 313, 299, 264, 786, 6542, 875, 22795, 666, 581, 1031, 585, 11836, 267, 1785, 1005, 267, 5969, 543, 17656, 12432, 2326, 563, 5591, 824, 2872, 814, 13631, 607, 1454, 1857, 3007, 547, 12432, 2326, 607, 519, 16669, 2872, 267, 799, 2059, 609, 519, 23825, 2872, 568, 513, 9920, 2483, 14722, 693, 19519, 4659, 540, 5303, 630, 27717, 14623, 15306, 264, 543, 1677, 327, 18602, 2160, 723, 2919, 1164, 7779, 717, 23859, 13423, 32681, 8874, 543, 18928, 11567, 741, 7542, 19172, 10431, 543, 7542, 11424, 3601, 269, 1358, 849, 7152, 519, 4055, 27529, 11275, 665, 777, 659, 13330, 2360, 540, 891, 717, 23859, 6094, 8874, 563, 11372, 11717, 549, 545, 2326, 1397, 11275, 1227, 9141, 7542, 19172, 10431, 640, 269, 1358, 616, 19788, 2810, 3007, 1317, 540, 741, 4241, 3601, 971, 607, 2483, 5400, 269, 4905, 269, 1001, 279, 1923, 7926, 5240, 454, 1556, 269, 1321, 269, 1001, 278, 1923, 7926, 5240, 454, 5400, 269, 1321, 269, 1001, 278, 1923, 7926, 5240, 454, 866, 269, 4905, 269, 1001, 279, 1923, 10049, 7070, 454, 866, 269, 4905, 269, 1001, 279, 1923, 2657, 543, 6925, 454, 866, 269, 4905, 269, 1001, 279, 1923, 8212, 543, 18395 ]

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

[ 941, 772, 269, 590, 269, 13108, 16996, 342, 664, 781, 29982, 269, 15117, 9061, 23700, 3627, 2701, 653, 731, 267, 3627, 590, 29229, 267, 8361, 4354, 26385, 267, 3627, 26858, 941, 9576, 13108, 16996, 342, 664, 781, 29982, 269, 1703, 616, 513, 19625, 540, 16996, 342, 1622, 543, 16996, 342, 664, 781, 29982, 538, 3332, 282, 519, 16996, 342, 664, 538, 5261, 9956, 781, 634, 7843, 335, 652, 568, 513, 3844, 1915, 538, 519, 6679, 6429, 267, 799, 3217, 1747, 20829, 513, 6928, 693, 4262, 267, 5526, 1586, 538, 519, 3803, 6429, 269, 14977, 874, 3019, 676, 9478, 1230, 2784, 814, 513, 562, 600, 6804, 16996, 342, 664, 945, 6645, 18279, 5839, 2662, 597, 337, 540, 513, 834, 331, 2794, 257, 540, 2367, 2469, 936, 4580, 1282, 519, 8445, 540, 519, 7088, 282, 519, 1915, 9291, 7585, 560, 599, 538, 31408, 543, 590, 29229, 781, 7574, 18792, 670, 269, 631, 269, 590, 269, 623, 2088, 1150, 568, 4244, 569, 5219, 547, 607, 513, 834, 321, 657, 262, 684, 257, 543, 513, 834, 2692, 1846, 342, 664, 781, 19898, 1701, 6271, 16996, 342, 664, 689, 3332, 568, 590, 1889, 324, 689, 8834, 7754, 269, 7083, 1635, 1258, 1185, 513, 1715, 11398, 1633, 2915, 3957, 4425, 1846, 342, 664, 269, 1635, 1258, 1185, 513, 15224, 1500, 585, 1864, 693, 1715, 560, 1737, 30745, 282, 519, 476, 5002, 278, 17189, 575, 15402, 3209, 634, 16996, 540, 519, 3794, 3317, 29336, 580, 676, 5261, 16593, 32095, 2471, 517, 2934, 519, 1915, 540, 519, 6928, 21485, 338, 968, 2692, 21485, 15711, 892, 607, 606, 1271, 4759, 540, 519, 12284, 543, 513, 2123, 3659, 547, 519, 15669, 563, 5226, 541, 3410, 2120, 568, 519, 2031, 515, 454, 289, 3121, 568, 513, 19384, 4244, 4224, 6512, 689, 16114, 657, 267, 590, 14244, 6754, 334, 267, 7768, 676, 5449, 2818, 540, 24898, 9466, 12789, 269, 543, 589, 645, 4545, 320, 269, 634, 6512, 729, 22885, 538, 4571, 268, 1001, 275, 676, 519, 6967, 2818, 540, 589, 645, 4545, 320, 267, 4646, 538, 4989, 540, 519, 3105, 1032, 676, 5449, 2818, 540, 24898, 9466, 12789, 269, 1310, 519, 2669, 540, 922, 13047, 626, 932, 528, 14244, 269, 2871, 10560, 626, 270, 548, 611, 13047, 626, 16205, 14244, 267, 18369, 626, 4477, 6511, 834, 299, 6511, 257, 14466, 7236, 543, 14941, 1067, 19839, 334, 3400, 557, 1729, 2319, 539, 909, 547, 3136, 1818, 2575, 267, 19796, 6883, 741, 1007, 1895, 834, 289, 3121, 257, 538, 4704, 1312, 547, 519, 13099, 531, 13032, 543, 519, 13021, 1031, 547, 6461, 6510, 621, 267, 519, 13032, 320, 269, 3400, 557, 1729, 781, 3251, 593, 519, 6512, 729, 2110, 24331, 1498, 267, 607, 646, 729, 14376, 547, 6443, 1402, 4224, 6512, 22367, 651, 543, 729, 8719, 676, 1656, 28584, 623, 3907, 574, 269, 769, 5437, 476, 1001, 275, 645, 3121, 5950, 715, 14244, 6480, 32115, 1924, 345, 514, 327, 657, 267, 998, 1546, 1188, 29171, 269, 8535, 7044, 941, 1500, 585, 834, 291, 4680, 717, 580, 656, 525, 257, 543, 834, 302, 3752, 5548, 320, 5696, 559, 17924, 2580, 538, 519, 1739, 1032, 789, 1500, 741, 14634, 2773, 693, 700, 3326, 777, 531, 5622, 5633, 269, 769, 476, 1001, 277, 267, 1656, 28584, 6154, 26320, 267, 945, 3812, 715, 14244, 6480, 32115, 1924, 345, 514, 327, 657, 267, 8678, 873, 607, 513, 2034, 13176, 626, 269, 769, 2904, 476, 1001, 280, 519, 6512, 5950, 7464, 573, 1228, 9255, 2692, 563, 1103, 5412, 789, 9307, 593, 741, 4013, 17749, 2272, 519, 22576, 540, 700, 6511, 14466, 7236, 269, 3057, 1723, 2826, 1729, 1107, 1291, 4938, 1023, 267, 3167, 13176, 1656, 28584, 623, 3907, 574, 1107, 27120, 267, 10726, 7901, 532, 1656, 28584, 6154, 26320, 1107, 3167, 13176, 19839, 334, 3400, 557, 1729, 1107, 27120, 4477, 6511, 834, 299, 6511, 257, 14466, 7236, 1107, 18369, 13176, 24722, 3896, 454, 23330, 566, 14730, 1817, 572, 729, 606, 18086, 1996, 519, 10854, 338, 600, 19660, 9099, 15213, 674, 16146, 9250, 676, 519, 20331, 17086, 540, 519, 13372, 593, 5130, 476, 2767, 267, 476, 1001, 275, 269, 634, 8165, 13264, 1175, 607, 519, 3339, 1436, 24509, 540, 519, 10854, 338, 600, 19660, 17563, 15716, 729, 9896, 1063, 519, 27000, 2229, 543, 519, 5651, 334, 9099, 8644, 3130, 13571, 269, 2051, 269, 667, 6506, 517, 19555, 657, 334, 267, 22557, 2006, 540, 519, 8136, 779, 476, 277, 628, 32691, 10406, 267, 10645, 602, 519, 18086, 729, 711, 1644, 547, 519, 19142, 540, 519, 24509, 540, 519, 4708, 14097, 543, 1767, 602, 519, 2229, 814, 1044, 23712, 609, 519, 631, 6579, 293, 547, 10131, 606, 18086, 1996, 519, 645, 9281, 293, 1354, 519, 19142, 540, 519, 24509, 282, 519, 2229, 18086, 729, 851, 540, 606, 4674, 547, 10654, 1585, 645, 9281, 293, 3401, 1519, 922, 6205, 267, 772, 3387, 571, 918, 6737, 585, 1585, 10963, 269, 634, 27000, 2817, 17318, 814, 9783, 513, 15549, 540, 10654, 585, 1585, 645, 9281, 293, 3401, 269, 19555, 657, 334, 4330, 519, 18086, 607, 513, 834, 18721, 11268, 257, 4674, 676, 2229, 4229, 282, 519, 18086, 568, 851, 540, 17434, 1520, 670, 665, 17434, 11059, 6828, 267, 513, 4745, 4674, 676, 519, 27000, 2229, 543, 519, 631, 6579, 293, 547, 9004, 1876, 1652, 2609, 689, 631, 6579, 293, 2950, 563, 24589, 2089, 710, 4108, 9250, 606, 25044, 4323, 593, 645, 9281, 293, 9072, 609, 476, 10755, 2173, 332, 875, 6308, 619, 269, 634, 4108, 5342, 513, 1009, 686, 7719, 269, 2311, 2547, 476, 736, 645, 9281, 293, 2818, 941, 7166, 2687, 547, 519, 2229, 269, 645, 9281, 293, 22557, 17367, 267, 26512, 16700, 787, 631, 4821, 17792, 269, 645, 9281, 293, 22557, 2006, 267, 26512, 16700, 787, 631, 4821, 1767, 267, 646, 1767, 269, 1261, 1767, 602, 519, 2229, 8952, 11488, 8185, 268, 28534, 4229, 547, 741, 2950, 593, 799, 646, 1767, 4229, 519, 645, 9281, 293, 547, 1427, 531, 5573, 282, 519, 645, 9281, 293, 6499, 513, 834, 14259, 697, 547, 519, 1448, 257, 543, 834, 29715, 257, 4708, 19908, 3379, 547, 519, 16395, 1063, 519, 27000, 6554, 543, 519, 631, 6579, 293, 267, 2687, 547, 519, 22557, 2006, 269, 631, 4821, 3773, 269, 2051, 667, 6506, 517, 19555, 657, 334, 267, 22557, 2006, 540, 519, 476, 277, 628, 32691, 10406, 267, 5828, 1524, 519, 645, 9281, 293, 781, 7662, 585, 16395, 543, 1767, 602, 519, 645, 9281, 293, 1590, 1101, 3068, 7803, 10997, 1996, 873, 269, 700, 339, 269, 2051, 269, 10548, 517, 2098, 698, 8403, 267, 20331, 17086, 1857, 12602, 5604, 8783, 1767, 602, 2229, 4229, 814, 25868, 693, 2547, 2947, 7580, 645, 9281, 293, 13122, 267, 646, 4857, 519, 1739, 6753, 269, 634, 25096, 2687, 547, 2229, 4229, 2882, 476, 7871, 645, 9281, 293, 25881, 267, 1519, 476, 274, 1126, 7980, 543, 835, 17199, 689, 519, 27000, 2229, 2427, 563, 763, 645, 9281, 293, 5170, 547, 20912, 269, 634, 2229, 9709, 547, 1439, 519, 18086, 593, 5988, 476, 272, 267, 519, 2034, 21120, 1305, 676, 519, 17434, 1520, 670, 665, 17434, 11059, 6828, 269, 645, 9281, 293, 22557, 2006, 26512, 16700, 787, 631, 4821, 1767, 602, 789, 8731, 3481, 606, 6186, 1819, 10986, 15298, 282, 519, 22557, 2006, 1767, 602, 789, 666, 1405, 8415, 519, 6174, 1813, 547, 519, 3668, 540, 9897, 538, 741, 1858, 865, 789, 4956, 547, 23290, 519, 6174, 1310, 9427, 519, 476, 2004, 23343, 9200, 3684, 7784, 7923, 547, 519, 6174, 6554, 4229, 9676, 519, 1292, 1193, 517, 724, 1245, 540, 519, 645, 9281, 293, 538, 4446, 836, 599, 717, 9017, 267, 26588, 858, 17166, 323, 7431, 18771, 777, 3873, 269, 634, 9206, 540, 519, 13372, 729, 6659, 693, 519, 5449, 645, 9281, 293, 3786, 282, 519, 20331, 17086, 540, 519, 13372, 18005, 8694, 20491, 14730, 1817, 572, 269, 2051, 269, 667, 6506, 517, 19555, 657, 334, 267, 476, 277, 628, 32691, 10406, 22557, 2006, 267, 10645, 602, 519, 2229, 4229, 814, 22485, 519, 27907, 540, 645, 9281, 293, 25881, 1739, 519, 7001, 540, 693, 2547, 2185, 7580, 645, 9281, 293, 13122, 282, 519, 4108, 10294, 269, 634, 4108, 3773, 602, 741, 1876, 11268, 4238, 786, 3136, 5103, 519, 6101, 3932, 540, 20491, 14730, 1817, 572, 563, 2467, 568, 1100, 4013, 21533, 602, 589, 1067, 559, 772, 3387, 571, 918, 6737, 267, 6205, 540, 519, 645, 9281, 293, 729, 7166, 610, 9676, 1282, 519, 4108, 5106, 269, 476, 280, 267, 275, 4792, 3885, 610, 476, 3374, 267, 31172, 1004, 941, 19774, 1813, 547, 519, 804, 10449, 267, 609, 1034, 540, 873, 4947, 689, 26588, 858, 17166, 323, 7431, 18771, 777, 3873, 267, 14076, 1695, 11370, 18885, 267, 13096, 340, 13100, 836, 538, 7395, 340, 785, 3570, 334, 543, 623, 1731, 527, 538, 3345, 595, 582, 629, 6737, 269, 2368, 2127, 1141, 519, 19774, 7606, 949, 991, 547, 581, 11222, 4106, 730, 282, 519, 4108, 814, 12247, 539, 834, 14588, 9037, 16646, 257, 540, 4299, 2127, 1310, 519, 3932, 540, 519, 4108, 18086, 269, 898, 729, 4080, 602, 1614, 1126, 7980, 540, 519, 645, 9281, 293, 941, 7166, 1282, 519, 4238, 282, 519, 27000, 2229, 28715, 519, 4080, 946, 540, 1126, 7980, 676, 519, 645, 9281, 293, 607, 513, 18670, 540, 1480, 2924, 454, 295, 629, 756, 27062, 7813, 1634, 607, 13206, 756, 18404, 549, 267, 568, 513, 9031, 328, 13564, 10706, 540, 18230, 4871, 13206, 756, 7813, 17985, 2098, 584, 747, 269, 898, 568, 1759, 538, 9031, 282, 519, 4871, 13604, 3323, 922, 4238, 269, 898, 729, 8547, 676, 519, 15011, 25428, 8932, 13206, 756, 1920, 607, 2229, 3323, 3051, 26494, 540, 12948, 5823, 538, 9031, 269, 769, 476, 1220, 277, 267, 13206, 756, 7813, 17985, 2098, 584, 747, 781, 9031, 4238, 941, 24673, 883, 27062, 7813, 17290, 543, 13604, 26948, 607, 13206, 756, 27062, 7813, 17290, 269, 769, 476, 1001, 276, 267, 13206, 756, 18404, 549, 4465, 7489, 4886, 7813, 8366, 282, 519, 2385, 4871, 267, 13206, 756, 7813, 17985, 2098, 584, 747, 814, 4238, 538, 15173, 15158, 267, 2136, 6259, 2506, 29521, 267, 3162, 4000, 267, 2136, 8003, 543, 4516, 454, 22479, 7578, 8606, 916, 267, 5549, 269, 729, 513, 4670, 2504, 2754, 8547, 538, 476, 1960, 271, 543, 2212, 32483, 1229, 538, 11968, 13353, 267, 4993, 269, 4813, 539, 676, 31297, 2861, 1546, 344, 327, 548, 5174, 320, 518, 9012, 15579, 902, 267, 7167, 7578, 8606, 916, 27648, 519, 2504, 7936, 547, 7167, 7578, 2271, 331, 269, 799, 2027, 2213, 538, 4914, 3892, 269, 8625, 267, 7167, 7578, 8606, 916, 543, 7167, 7578, 2271, 331, 269, 7358, 730, 513, 3742, 2504, 543, 3892, 13398, 4171, 4891, 3769, 17629, 2289, 3930, 267, 4436, 2733, 12460, 267, 1230, 10811, 542, 8606, 916, 267, 1977, 2504, 6186, 267, 1230, 10811, 542, 1977, 9012, 5549, 269, 645, 2958, 2006, 5174, 320, 518, 8605, 687, 267, 4989, 268, 3519, 10811, 542, 8606, 916, 269, 7167, 7578, 8606, 916, 267, 5549, 269, 4646, 513, 1269, 272, 269, 274, 321, 11669, 11601, 3801, 585, 5450, 549, 8566, 1245, 342, 2106, 5336, 9707, 270, 18197, 20551, 538, 476, 1960, 278, 269, 7167, 7578, 8606, 916, 543, 7167, 7578, 4139, 2754, 21246, 1023, 941, 3743, 585, 519, 14104, 267, 543, 5924, 2504, 267, 16565, 540, 2407, 3486, 610, 16496, 16857, 2924, 585, 519, 1739, 5163, 5961, 269, 7167, 7578, 2271, 331, 269, 22716, 1242, 20367, 4914, 3892, 2924, 609, 17629, 267, 799, 17411, 513, 1297, 540, 741, 6469, 3892, 13847, 1282, 519, 2038, 562, 6839, 625, 563, 763, 2754, 9738, 6106, 540, 3347, 267, 1312, 4579, 783, 543, 2123, 267, 609, 2733, 12781, 547, 519, 6708, 602, 789, 941, 1071, 1790, 1238, 6203, 593, 1082, 16538, 8874, 267, 2495, 519, 2121, 1267, 729, 19311, 13218, 547, 5697, 4891, 602, 21271, 539, 519, 2757, 536, 27570, 10617, 602, 10483, 4914, 3892, 9388, 269, 7600, 1227, 267, 519, 2754, 729, 11295, 1472, 30939, 2789, 4609, 538, 519, 2504, 543, 3892, 5832, 267, 538, 1931, 547, 1732, 1852, 519, 1646, 543, 2095, 540, 1587, 543, 8907, 267, 7551, 7500, 811, 7443, 2406, 982, 741, 15712, 269, 7167, 7578, 8606, 916, 543, 7167, 7578, 4139, 2754, 21246, 1023, 941, 3743, 585, 519, 14104, 267, 543, 5924, 2504, 267, 16565, 540, 2407, 3486, 610, 16496, 16857, 2924, 585, 519, 1739, 5163, 5961, 281, 589, 576, 20764, 3120, 281, 8891, 23618, 633, 21388, 25024, 281, 4139, 2494, 540, 25491, 589, 6355, 10500, 1515, 14161, 17010, 781, 10158, 667, 3518, 543, 667, 3784, 9050, 11205, 26204, 543, 589, 8342, 1968, 634, 631, 2532, 3733, 5020, 12321, 1328, 781 ]

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

[ 6023, 269, 476, 272, 1341, 1535, 476, 273, 269, 476, 273, 31592, 6201, 540, 9095, 7562, 267, 818, 764, 657, 543, 818, 551, 534, 14597, 602, 585, 519, 818, 764, 657, 3287, 264, 12045, 267, 594, 3815, 856, 519, 2942, 1129, 1354, 10128, 519, 4082, 267, 607, 1269, 268, 272, 259, 568, 513, 3586, 543, 519, 1526, 333, 520, 3815, 4341, 2829, 602, 281, 6695, 842, 737, 1422, 2765, 346, 11276, 2410, 11459, 348, 15848, 815, 737, 1422, 842, 1422, 2765, 346, 11276, 2410, 11459, 348, 15848, 2330, 1547, 552, 23692, 2845, 1547, 1358, 616, 20534, 25482, 17242, 524, 846, 322, 656, 3813, 656, 543, 28422, 836, 550, 269, 9095, 7562, 327, 780, 13706, 519, 1599, 535, 3287, 6661, 274, 2117, 7562, 3287, 264, 541, 764, 657, 3287, 264, 277, 541, 551, 534, 3287, 264, 1548, 568, 519, 12045, 540, 535, 3287, 264, 325, 3287, 264, 693, 1535, 284, 271, 343, 284, 271, 286, 1547, 1411, 666, 2491, 713, 3830, 609, 519, 1739, 9273, 281, 1403, 9095, 7562, 1535, 11224, 4642, 267, 1287, 1535, 11224, 5609, 11224, 5430, 263, 14039, 936, 476, 273, 14263, 16532, 1287, 818, 764, 657, 1535, 11224, 14039, 936, 476, 273, 14263, 11224, 14039, 936, 476, 273, 14263, 9095, 7562, 1535, 282, 4061, 16317, 11405, 780, 10403, 12045, 9498, 910, 16174, 3252, 609, 782, 519, 3268, 269, 4427, 2466, 24720, 269, 3245, 519, 1547, 4208, 568, 602, 286, 898, 568, 2854, 607, 546, 7933, 343, 630, 2117, 7562, 1535, 264, 815, 476, 272, 270, 476, 272, 14870, 269, 898, 568, 849, 1572, 519, 12045, 540, 5430, 11201, 1535, 267, 602, 568, 267, 519, 12045, 540, 519, 11201, 25482, 1599, 269, 634, 12045, 540, 609, 2463, 547, 568, 1547, 2353, 2418, 540, 1535, 269, 9747, 818, 551, 534, 263, 272, 6661, 4097, 32494, 269, 2986, 1576, 267, 972, 616, 1082, 7285, 609, 519, 1482, 20534, 267, 865, 519, 20534, 1599, 3085, 1405, 2965, 723, 606, 11201, 602, 28761, 834, 1495, 3996, 5257, 519, 20534, 1599, 269, 7392, 538, 1022, 1599, 12045, 547, 1205, 519, 3070, 267, 3268, 543, 3113, 1547, 4746, 3314, 602, 3006, 596, 1294, 519, 1547, 11374, 519, 5528, 543, 1210, 519, 5832, 4341, 267, 649, 1205, 281, 546, 15848, 9095, 7562, 1535, 513, 815, 476, 272, 533, 476, 272, 3287, 21669, 264, 273, 476, 272, 513, 815, 513, 513, 273, 1535, 273, 476, 272, 513, 815, 476, 272, 513, 273, 1535, 273, 4475, 267, 649, 666, 4194, 519, 7533, 2016, 538, 519, 7151, 281, 2098, 476, 272, 513, 273, 1535, 273, 15848, 815, 9095, 7562, 1535, 513, 1341, 290, 7151, 476, 280, 281, 4855, 681, 476, 272, 476, 274, 343, 273, 15848, 269, 818, 551, 534, 1535, 1315, 273, 269, 1547, 818, 764, 582, 2433, 543, 2895, 344, 704, 26382, 3252, 269, 4855, 519, 14216, 29719, 535, 3287, 6661, 2117, 7562, 263, 274, 343, 11924, 541, 764, 657, 263, 274, 343, 264, 1635, 519, 5681, 14329, 267, 519, 12045, 540, 609, 2463, 547, 568, 1547, 6168, 4964, 14645, 13555, 721, 6282, 832, 22339, 1047, 3763, 619, 16301, 21041, 8889, 1299, 8881, 1215, 13334, 1568, 4530, 1007, 2934, 4964, 14645, 13555, 721, 6282, 832, 1547, 2353, 519, 25066, 9163, 616, 1759, 593, 519, 3670, 25066, 12753, 269, 901, 15007, 568, 1031, 2429, 519, 2376, 269, 1284, 1101, 4063, 602, 519, 9832, 540, 519, 11201, 20534, 1599, 543, 519, 1101, 11201, 524, 846, 322, 656, 1599, 616, 3592, 9838, 267, 1287, 8399, 607, 5205, 281, 586, 815, 9095, 7562, 269, 6258, 811, 827, 519, 12045, 540, 818, 551, 534, 1535, 2059, 609, 922, 6169, 543, 12193, 1806, 269, 476, 273, 269, 3776, 2979, 24626, 7028, 2596, 2979, 267, 840, 17038, 5040, 267, 7223, 267, 29890, 267, 11810, 543, 811, 269, 1280, 1142, 11201, 25066, 5610, 4542, 2630, 972, 568, 513, 7222, 4542, 538, 519, 1592, 540, 29398, 540, 11201, 5409, 26382, 3252, 269, 28518, 769, 2091, 26344, 6248, 12793, 269, 22043, 2626, 281, 19247, 281, 634, 9095, 5913, 656, 1599, 3217, 513, 25066, 5223, 593, 519, 1770, 5858, 607, 922, 3403, 543, 2164, 538, 606, 5086, 2268, 607, 922, 3977, 269, 1488, 764, 657, 543, 818, 551, 534, 910, 476, 275, 7151, 281, 1879, 596, 4283, 818, 764, 657, 263, 273, 264, 630, 16129, 519, 1422, 6523, 476, 272, 257, 7735, 264, 593, 707, 9498, 267, 621, 3615, 269, 901, 942, 519, 3113, 1281, 8831, 3564, 1018, 596, 1294, 267, 538, 1312, 519, 2942, 543, 2318, 8846, 540, 1535, 267, 543, 621, 3085, 1405, 3444, 519, 546, 14414, 3515, 630, 1492, 29297, 4925, 693, 586, 15871, 7032, 270, 273, 543, 586, 284, 7032, 270, 273, 264, 907, 524, 338, 577, 1535, 815, 910, 524, 1054, 1535, 524, 338, 577, 1535, 780, 1432, 568, 12045, 540, 1488, 551, 534, 286, 1284, 849, 2328, 281, 9095, 7562, 1535, 547, 1611, 519, 1482, 3364, 607, 5609, 268, 272, 1535, 269, 818, 764, 9655, 269, 634, 1034, 1455, 15007, 568, 547, 2012, 11201, 25066, 3252, 1210, 606, 9095, 268, 18772, 267, 552, 3052, 1421, 9095, 7562, 3287, 1070, 818, 764, 657, 3287, 1070, 818, 551, 534, 3287, 1070, 3092, 269, 630, 272, 267, 272, 264, 15531, 513, 14216, 29719, 769, 20113, 476, 2537, 268, 4366, 267, 1265, 519, 3541, 328, 540, 519, 1599, 269, 2859, 6657, 269, 5623, 519, 16755, 540, 519, 11201, 25066, 3252, 281, 9095, 7562, 3287, 1070, 818, 764, 657, 3287, 1070, 543, 818, 551, 534, 3287, 1040, 12433, 519, 12045, 540, 693, 476, 2420, 269, 9095, 7562, 27976, 815, 818, 551, 534, 476, 273, 343, 269, 898, 568, 1732, 547, 946, 9095, 7562, 1535, 1317, 7363, 538, 6128, 267, 513, 1297, 6659, 547, 519, 1379, 910, 272, 1797, 519, 23483, 269, 769, 519, 4137, 2630, 267, 519, 6712, 540, 519, 3113, 12006, 538, 2699, 2982, 519, 6712, 540, 519, 3113, 540, 5609, 630, 343, 264, 602, 814, 606, 11201, 269, 8074, 602, 9095, 7562, 1535, 7132, 818, 764, 657, 1535, 11224, 14039, 936, 476, 273, 269, 28518, 769, 2091, 26344, 6248, 12793, 269, 19577, 281, 1280, 1535, 1496, 272, 267, 272, 316, 6585, 9095, 7562, 271, 3287, 264, 815, 476, 272, 5609, 271, 9095, 7562, 3287, 264, 815, 476, 272, 5430, 9095, 7562, 3287, 264, 1280, 1535, 1496, 272, 267, 272, 316, 649, 1205, 9095, 7562, 3287, 264, 815, 586, 554, 476, 273, 267, 1547, 3689, 1265, 519, 12045, 540, 535, 269, 3767, 952, 535, 1412, 630, 343, 264, 815, 476, 271, 585, 782, 2418, 540, 1535, 267, 1287, 602, 1797, 602, 535, 630, 343, 264, 568, 513, 3586, 1599, 602, 949, 581, 7229, 1210, 1022, 1871, 540, 1535, 269, 4475, 267, 519, 3803, 2626, 568, 2854, 607, 7151, 476, 1556, 269, 3973, 621, 1590, 581, 519, 2665, 602, 269, 849, 711, 4010, 2386, 269, 570, 17344, 548, 12445, 269, 7392, 538, 1022, 1599, 12045, 547, 1205, 519, 3070, 267, 3268, 543, 3113, 1547, 14497, 634, 12045, 540, 9095, 7562, 568, 2016, 676, 9095, 7562, 271, 3287, 264, 815, 476, 272, 476, 272, 1535, 273, 269, 13565, 6310, 3252, 1331, 16429, 2073, 20211, 290, 657, 2073, 769, 2091, 295, 28316, 710, 2073, 543, 20211, 306, 514, 327, 1547, 6333, 519, 1929, 320, 517, 2016, 676, 593, 519, 8884, 1547, 12445, 30180, 3406, 19577, 2467, 616, 1896, 6697, 2081, 585, 10747, 25066, 3252, 267, 543, 519, 6169, 519, 25066, 9163, 1063, 873, 4096, 519, 6074, 4214, 269, 1284, 723, 1336, 519, 5086, 4171, 20534, 568, 476, 271, 269, 28670, 279, 269, 1215, 798, 596, 798, 20211, 7562, 286, 1677, 4019, 519, 20456, 14329, 267, 1305, 607, 1547, 634, 12045, 540, 818, 551, 534, 1535, 568, 476, 272, 270, 630, 272, 21147, 273, 1040, 818, 764, 1054, 2433, 12337, 538, 951, 525, 540, 519, 7222, 25066, 543, 5409, 26382, 3252, 269, 14216, 643, 2510, 540, 519, 769, 2091, 26344, 6248, 12793, 269, 24135, 585, 811, 3268, 269, 1284, 17589, 519, 16755, 540, 11201, 25066, 3252, 1210, 17697, 15285, 269, 3502, 566, 676, 631, 269, 25816, 928, 269, 20211, 306, 514, 1496, 345, 316, 814, 7936, 2759, 19944, 340, 885, 538, 519, 1950, 7077, 269, 6258, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 2422, 14216, 29719, 547, 8058, 2334, 9095, 7562, 630, 343, 264, 1341, 818, 764, 657, 630, 343, 264, 815, 1315, 273, 269, 14216, 643, 2510, 540, 769, 2091, 26344, 6248, 12793, 910, 9095, 7562, 1535, 267, 818, 764, 657, 1535, 267, 818, 551, 534, 1535, 267, 818, 764, 2675, 1535, 267, 9095, 5913, 1535, 267, 818, 764, 582, 1535, 2419, 5142, 2098, 629, 14490, 773, 15152, 16225, 966, 2086, 790, 22094, 17507, 269, 590, 710, 1152, 814, 606, 11201, 593, 513, 11658, 6389, 267, 1535, 269, 7151, 476, 272, 1403, 1535, 815, 5609, 910, 1015, 269, 28670, 279, 1287, 676, 1210, 519, 9498, 267, 1535, 815, 476, 1428, 269, 818, 764, 657, 269, 1215, 666, 621, 948, 538, 12719, 9864, 16755, 540, 2034, 1547, 1879, 7893, 538, 32494, 267, 606, 5086, 540, 32494, 786, 5330, 547, 606, 9095, 4171, 3259, 568, 678, 267, 1141, 678, 568, 519, 8953, 540, 519, 5858, 269, 0, 258, 1215, 568, 15340, 538, 606, 8635, 5462, 2496, 296, 729, 2542, 513, 1433, 827, 16526, 267, 538, 602, 594, 1336, 602, 6695, 2765, 21151, 2410, 321, 23180, 2765, 15830, 2410, 322, 23180, 2765, 26231, 2410, 320, 348, 285, 272, 29146, 698, 346, 272, 6525, 568, 513, 21136, 8635, 538, 1269, 320, 8961, 259, 321, 8961, 259, 322, 10608, 1809, 952, 594, 1689, 519, 1931, 689, 18159, 320, 14720, 22698, 7751, 547, 18159, 320, 22698, 14720, 29408, 594, 993, 711, 3478, 519, 1482, 8635, 799, 568, 519, 2596, 4214, 540, 21136, 8635, 269, 1548, 993, 594, 3257, 4636, 2496, 2080, 568, 1250, 3801, 281, 2991, 4657, 519, 1931, 547, 18159, 320, 22698, 14720, 29408, 649, 1205, 6695, 2765, 21151, 2410, 322, 23180, 2765, 26231, 2410, 321, 23180, 2765, 15830, 2410, 320, 348, 285, 272, 2330, 713, 568, 5693, 711, 1482, 607, 18159, 272, 7751, 780, 2080, 568, 519, 21626, 689, 519, 1433, 799, 594, 993, 4974, 1384, 1892, 3657, 513, 267, 536, 267, 524, 2318, 2338, 1107, 1109, 291, 1046, 571, 328, 3967, 476, 2190, 1412, 1240, 693, 476, 1321, 281, 5379, 454, 1892, 7711, 10048, 628, 2033, 514, 621, 568, 711, 2016, 538, 519, 1433, 602, 513, 14720, 22698, 616, 2318, 2338, 1107, 1109, 12528, 276, 2641, 31798, 3967, 476, 2190, 1412, 1240, 693, 476, 1321, 281, 5325, 454, 1892, 634, 28023, 15340, 568, 630, 320, 267, 536, 267, 524, 264, 6902, 630, 321, 267, 524, 267, 513, 264, 6902, 630, 322, 267, 513, 267, 536, 264, 543, 630, 320, 267, 524, 267, 536, 264, 568, 711, 21136, 609, 519, 2016, 5311, 1107, 1109, 291, 1046, 571, 328, 3967, 476, 2190, 1412, 1240, 693, 476, 1321, 281, 5392, 454, 1892, 7711, 10048, 628, 2033, 514, 594, 1705, 711, 12446, 267, 713, 568, 2016, 538, 513, 1433, 1107, 1109, 12528, 276, 2641, 31798, 3967, 476, 2190, 1412, 1240, 693, 476, 1321, 281, 5392, 454, 1892, 7711, 10048, 628, 2033, 514, 594, 993, 6158, 827, 21136, 267, 711, 28023, 1107, 1109, 12528, 276, 2641, 31798, 3967, 476, 2190, 1412, 1240, 693, 476, 1321, 281, 7906, 692, 2005, 781, 711, 21136, 8635, 1317, 519, 32089, 18159, 320, 14720, 22698, 9385, 21375, 5416, 22698, 14720, 7751, 3947, 1776, 8635, 281, 6695, 2765, 21151, 2410, 322, 23180, 2765, 15830, 2410, 320, 23180, 2765, 26231, 2410, 321, 348, 285, 272, 269, 16465, 3528, 519, 1259, 267, 519, 8635, 3230, 320, 17070, 25239, 285, 29582, 2330, 568, 21136, 563, 1892, 594, 3858, 1269, 320, 17070, 25239, 285, 29582, 259, 568, 21136, 267, 855, 713, 568, 513, 2462, 3409, 602, 519, 1433, 568, 4636, 267, 3884, 1405, 621, 286, 1107, 1109, 12528, 276, 2641, 31798, 3967, 476, 2190, 1412, 1240, 693, 476, 1321, 281, 7871, 454, 1892, 7711, 294, 4768, 836, 307, 9646, 1411, 666, 5581, 834, 1910, 7825, 4479, 257, 585, 513, 17784, 339, 607, 1269, 303, 5416, 14720, 22698, 264, 815, 623, 5416, 3299, 321, 3299, 322, 262, 7751, 585, 1169, 32089, 540, 18159, 320, 3299, 321, 3299, 322, 262, 7751, 538, 18159, 320, 14720, 22698, 7751, 3230, 303, 5416, 14720, 22698, 6661, 303, 5416, 22698, 14720, 6661, 303, 6357, 28083, 22698, 6661, 303, 6357, 22698, 28083, 6661, 303, 6262, 28083, 14720, 6661, 303, 6262, 14720, 28083, 14638, 1107, 1109, 309, 633, 330, 3967, 476, 2190, 1412, 1240, 693, 476, 1691, 281, 6860, 0, 27908, 773, 638 ]

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

[ 0, 303, 1156, 545, 749, 3204, 17654, 4659, 538, 19090, 267, 11882, 6663, 547, 4196, 543, 13599, 938, 2550, 3823, 6565, 2281, 543, 27532, 4915, 538, 2489, 269, 1284, 6999, 547, 7520, 519, 2898, 2126, 1995, 269, 1284, 2813, 713, 21111, 8249, 3296, 547, 948, 596, 609, 519, 17825, 269, 634, 29395, 540, 2474, 4092, 2630, 568, 2523, 5363, 547, 1007, 2550, 269, 4746, 1745, 1863, 547, 2070, 938, 14174, 304, 585, 811, 1344, 563, 10908, 27443, 540, 16301, 454, 268, 16989, 25745, 19204, 910, 6687, 582, 550, 6565, 2281, 602, 666, 1020, 883, 1585, 2010, 540, 2281, 267, 855, 616, 5160, 10391, 454, 268, 2549, 333, 8438, 29079, 910, 519, 5714, 602, 27788, 543, 2337, 2149, 606, 796, 9799, 4816, 1282, 6379, 454, 268, 2549, 333, 8438, 6490, 1962, 2033, 910, 519, 7961, 25958, 4494, 540, 519, 30302, 282, 3568, 6565, 2281, 454, 268, 24942, 3057, 992, 910, 29008, 344, 5160, 5627, 6565, 2281, 602, 568, 1336, 3330, 1978, 7633, 540, 519, 1560, 454, 268, 21150, 787, 4577, 25745, 19204, 910, 6565, 2281, 23608, 689, 24201, 630, 328, 4318, 269, 6992, 1242, 5798, 994, 268, 5131, 2763, 667, 11538, 910, 849, 1634, 607, 11430, 2684, 16478, 610, 3956, 3941, 27364, 566, 267, 568, 513, 1970, 2837, 18024, 1184, 602, 3322, 16171, 519, 1587, 267, 16715, 2604, 267, 1287, 9427, 519, 4672, 676, 1016, 3916, 566, 269, 901, 568, 538, 4334, 547, 18024, 676, 1034, 6671, 2409, 602, 18493, 622, 1216, 1210, 3002, 563, 268, 12618, 11790, 910, 3940, 6786, 602, 12954, 1591, 6498, 543, 2208, 540, 1808, 8031, 454, 268, 12379, 26067, 2096, 531, 25745, 19204, 910, 513, 1826, 540, 6565, 1591, 602, 666, 2285, 4473, 547, 1082, 1114, 2010, 540, 2281, 538, 519, 1560, 543, 3895, 7067, 454, 268, 744, 1873, 12960, 26225, 12039, 910, 513, 18102, 1031, 547, 3313, 513, 3461, 781, 1377, 540, 9659, 4611, 689, 1970, 1394, 1928, 454, 268, 26736, 2742, 910, 519, 5277, 5057, 540, 1973, 602, 6585, 1973, 2281, 543, 6676, 7410, 454, 268, 17934, 2280, 6762, 26736, 2742, 910, 11919, 609, 513, 1164, 5834, 540, 6676, 7410, 602, 2270, 1082, 2208, 2188, 543, 3895, 7067, 454, 268, 17934, 7410, 910, 513, 5057, 540, 1973, 602, 8992, 32378, 543, 5728, 525, 2208, 2188, 6225, 585, 7067, 454, 268, 25745, 19204, 910, 3768, 27075, 7007, 2281, 609, 519, 1761, 547, 1020, 883, 1082, 1114, 1591, 2010, 1282, 2208, 543, 7067, 454, 268, 25613, 27075, 7007, 19204, 910, 513, 1591, 602, 814, 2943, 547, 16174, 883, 922, 3803, 1106, 543, 1826, 0, 8110, 1417, 720, 18185, 281, 476, 1839, 568, 1018, 2600, 540, 476, 4335, 286, 815, 476, 276, 563, 12585, 281, 476, 1015, 260, 540, 476, 4335, 568, 476, 2004, 563, 4131, 779, 1265, 476, 1839, 260, 540, 476, 1220, 563, 11372, 17586, 519, 8918, 6697, 540, 519, 6871, 676, 476, 1911, 282, 610, 1847, 519, 1297, 779, 8918, 1448, 936, 1079, 4025, 547, 519, 1318, 269, 634, 1267, 568, 519, 6871, 2179, 269, 630, 1607, 4267, 519, 2243, 968, 6344, 568, 1018, 2600, 540, 476, 4335, 2223, 596, 1451, 602, 476, 6344, 568, 476, 2190, 2600, 540, 476, 4335, 1916, 2414, 5173, 476, 276, 2600, 540, 513, 1297, 267, 3274, 7941, 476, 1015, 2600, 540, 519, 1297, 676, 476, 273, 269, 1280, 1383, 267, 476, 276, 2600, 540, 476, 15996, 568, 476, 2537, 5258, 676, 476, 273, 267, 610, 476, 1556, 269, 276, 563, 12585, 281, 476, 1015, 260, 540, 476, 1911, 271, 568, 476, 1911, 563, 2414, 5173, 513, 6871, 540, 513, 6871, 267, 6460, 1312, 21159, 547, 8454, 540, 476, 1911, 267, 610, 547, 17447, 267, 543, 9062, 873, 269, 1280, 1383, 267, 476, 2004, 260, 540, 476, 2412, 260, 568, 7229, 282, 630, 2004, 270, 1911, 264, 1535, 630, 2412, 270, 1911, 264, 815, 476, 271, 269, 2004, 1535, 476, 271, 269, 2412, 815, 476, 271, 269, 736, 815, 476, 736, 270, 1911, 815, 476, 736, 18336, 1839, 2600, 540, 476, 6344, 568, 476, 1789, 563, 1839, 2600, 540, 476, 5611, 568, 476, 4391, 269, 276, 563, 12585, 281, 476, 1839, 260, 540, 476, 2004, 568, 476, 1839, 270, 273, 610, 476, 1321, 16006, 607, 513, 6824, 543, 476, 1321, 269, 276, 607, 513, 8918, 563, 2414, 10208, 1022, 6871, 689, 513, 1297, 267, 3274, 9062, 602, 1297, 676, 519, 6871, 596, 1616, 547, 2611, 269, 769, 824, 1913, 267, 9062, 676, 476, 1911, 2600, 14263, 519, 6871, 596, 1616, 547, 10208, 267, 538, 8918, 1106, 269, 1677, 10208, 476, 736, 2600, 267, 9062, 676, 476, 3199, 2600, 630, 271, 269, 279, 1916, 301, 11901, 815, 674, 1315, 1496, 630, 272, 1341, 678, 8203, 333, 9948, 1141, 267, 14346, 815, 10558, 10025, 267, 674, 815, 8892, 8569, 630, 322, 1662, 2095, 1070, 678, 815, 5494, 870, 2557, 267, 562, 815, 519, 1297, 540, 5712, 538, 519, 2104, 1916, 2304, 2179, 540, 10958, 568, 513, 2600, 1055, 519, 3312, 3902, 269, 634, 9042, 3902, 1058, 2141, 581, 1447, 982, 519, 3312, 3902, 269, 769, 930, 2665, 267, 519, 2179, 540, 10958, 568, 513, 6378, 13362, 2179, 269, 3973, 649, 1175, 1265, 519, 9042, 3902, 676, 18946, 519, 2179, 540, 10958, 689, 519, 3312, 3902, 563, 763, 2596, 1259, 547, 5173, 513, 10958, 568, 547, 9062, 519, 3312, 3902, 676, 519, 8918, 1106, 540, 519, 6871, 269, 1677, 5173, 519, 9042, 3902, 540, 606, 6221, 267, 10208, 519, 10958, 689, 519, 3312, 3902, 269, 1411, 666, 798, 713, 1210, 513, 9498, 267, 610, 596, 666, 5180, 519, 3902, 543, 7447, 519, 10958, 538, 707, 2212, 563, 763, 2626, 568, 476, 2004, 260, 607, 2433, 476, 272, 5662, 815, 476, 2568, 3764, 256, 1656, 476, 1789, 3764, 568, 519, 3368, 540, 621, 865, 519, 2626, 568, 476, 2004, 260, 4586, 11997, 267, 476, 14596, 568, 476, 3445, 4939, 540, 476, 4335, 563, 288, 476, 736, 2600, 10958, 568, 476, 271, 269, 736, 538, 8918, 3898, 269, 19627, 267, 9062, 519, 8918, 10958, 676, 519, 3902, 540, 519, 6221, 547, 3313, 519, 9806, 538, 9489, 269, 1280, 1383, 267, 952, 519, 3312, 3902, 540, 519, 6221, 11224, 1269, 2190, 267, 596, 1131, 9062, 476, 271, 269, 273, 676, 1269, 2190, 547, 1205, 1269, 275, 269, 3199, 563, 5629, 596, 723, 519, 8918, 4137, 267, 9062, 621, 676, 519, 1297, 585, 799, 596, 3343, 547, 5173, 519, 6871, 282, 1775, 4318, 1421, 952, 596, 991, 547, 917, 476, 1789, 2600, 540, 476, 1911, 267, 596, 6460, 476, 1789, 2600, 547, 513, 8918, 630, 271, 269, 1789, 264, 543, 9062, 621, 676, 476, 1911, 630, 271, 269, 1789, 1535, 476, 1911, 267, 799, 11224, 476, 1789, 1916, 22998, 856, 476, 1789, 260, 540, 476, 1911, 271, 454, 2252, 596, 616, 1210, 513, 9498, 267, 3274, 4283, 476, 1789, 383, 371, 1911, 9943, 1911, 271, 799, 786, 2285, 596, 476, 4968, 607, 519, 2626, 563, 12585, 281, 476, 276, 260, 540, 476, 1911, 271, 568, 476, 2004, 563, 8110, 1417, 720, 18185, 281, 1548, 568, 476, 1015, 2600, 540, 476, 6344, 271, 286, 815, 476, 6344, 563, 6343, 568, 476, 1839, 260, 540, 1269, 272, 267, 1822, 454, 1839, 540, 1269, 4968, 454, 6343, 568, 476, 1839, 540, 1269, 7785, 454, 736, 540, 1269, 4335, 454, 1839, 260, 540, 1269, 10384, 454, 1839, 2600, 1055, 476, 2004, 9489, 454, 1789, 260, 540, 1269, 4335, 454, 1839, 540, 1269, 6110, 0, 314, 29241, 607, 5291, 2517, 335, 14766, 3820, 270, 879, 3146, 14142, 17320, 7847, 14672, 327, 332, 21683, 270, 31256, 3583, 273, 2639, 7804, 2441, 320, 715, 987, 454, 30267, 8834, 26396, 454, 288, 270, 7468, 7225, 603, 570, 8527, 2006, 454, 289, 4361, 6609, 3733, 601, 5448, 568, 513, 2860, 540, 519, 5642, 20768, 602, 3413, 9711, 936, 476, 1911, 271, 1004, 1169, 1032, 538, 5245, 269, 634, 2126, 568, 2352, 543, 6757, 267, 3226, 607, 2550, 945, 1020, 519, 2068, 616, 1419, 4587, 630, 20200, 1227, 476, 2004, 268, 3583, 1296, 264, 543, 723, 8459, 2042, 607, 851, 540, 519, 2068, 269, 4107, 2550, 786, 723, 1732, 1852, 540, 741, 2068, 952, 789, 4309, 513, 1164, 9570, 540, 513, 14984, 3075, 1572, 5283, 13921, 534, 269, 9253, 13921, 534, 568, 6757, 547, 519, 5642, 20768, 267, 865, 5283, 13921, 534, 568, 4553, 676, 606, 30376, 540, 519, 2550, 262, 5642, 20768, 610, 1973, 6565, 2281, 630, 320, 5642, 20768, 13003, 1040, 667, 3151, 540, 5283, 13921, 534, 568, 2687, 547, 513, 3044, 8430, 602, 1281, 711, 2272, 585, 1367, 2188, 269, 1284, 917, 602, 519, 3075, 7106, 8986, 689, 519, 1973, 3833, 3533, 267, 543, 875, 3533, 621, 7106, 8986, 4440, 5540, 922, 17219, 543, 7145, 269, 14451, 13066, 616, 811, 6757, 543, 2550, 666, 5884, 607, 513, 1267, 540, 741, 13003, 267, 2539, 13066, 798, 711, 1852, 519, 2068, 607, 1134, 269, 3502, 1082, 4025, 538, 519, 1158, 2268, 519, 2157, 540, 5283, 13921, 534, 538, 519, 1973, 269, 2311, 634, 4132, 27231, 11233, 649, 723, 2907, 5340, 519, 4102, 1353, 540, 5283, 13921, 534, 1973, 338, 538, 1453, 269, 2060, 519, 5250, 540, 519, 29517, 24942, 3057, 992, 3690, 8690, 8416, 267, 649, 723, 8678, 609, 7189, 945, 1521, 4079, 609, 24869, 5448, 543, 1483, 2213, 602, 649, 941, 538, 513, 2990, 547, 2626, 930, 2101, 2055, 827, 519, 7145, 540, 5283, 13921, 534, 538, 24869, 5448, 543, 875, 1271, 621, 729, 547, 1205, 2539, 610, 2362, 2157, 540, 519, 3075, 538, 519, 3461, 781, 1973, 269, 1284, 616, 4058, 1018, 786, 581, 519, 4102, 1353, 540, 5283, 13921, 534, 1973, 2157, 538, 519, 1158, 630, 3467, 982, 476, 1911, 24869, 5448, 2550, 1040, 1635, 7893, 519, 5283, 13921, 534, 538, 741, 1973, 543, 1287, 1739, 1018, 4523, 547, 519, 2550, 267, 649, 786, 581, 2111, 547, 960, 856, 2436, 519, 9570, 540, 5283, 13921, 534, 649, 616, 1210, 568, 4998, 282, 952, 972, 616, 1919, 827, 519, 3461, 602, 2995, 721, 649, 1058, 2285, 513, 8273, 610, 4130, 9570, 543, 952, 519, 1973, 2157, 616, 1644, 547, 875, 1454, 17219, 519, 3461, 814, 1310, 13003, 543, 875, 1134, 519, 24869, 5448, 568, 6417, 269, 901, 1058, 2087, 519, 6364, 540, 24869, 5448, 2550, 563, 293, 27448, 2549, 870, 1269, 288, 11070, 476, 275, 4792, 267, 278, 8618, 269, 10619, 454, 293, 27448, 30868, 19760, 300, 13612, 5741, 6182, 1218, 454, 6124, 15766, 1807, 16827, 0, 8005, 616, 649, 267, 543, 1018, 568, 938, 2123, 3961, 888, 9223, 689, 519, 5769, 912, 22081, 1281, 2123, 3961, 6414, 998, 942, 18313, 23114, 3961, 568, 1945, 4277, 269, 1215, 798, 649, 917, 875, 649, 616, 286, 1215, 666, 649, 5581, 6000, 888, 2691, 649, 1413, 693, 1480, 2486, 543, 519, 14789, 540, 1004, 267, 649, 616, 2356, 3989, 676, 1082, 1919, 267, 855, 9039, 2798, 547, 930, 2186, 540, 9759, 610, 513, 3597, 563, 7197, 540, 782, 267, 649, 616, 782, 519, 1587, 540, 938, 1604, 269, 2991, 782, 267, 649, 10571, 267, 13789, 267, 1847, 267, 3717, 267, 8532, 1256, 1118, 2648, 2687, 547, 1018, 649, 1294, 689, 1866, 610, 689, 519, 782, 12656, 1889, 908, 2923, 543, 9913, 2634, 31683, 269, 1284, 899, 1018, 1866, 899, 267, 543, 952, 649, 13842, 1018, 1866, 899, 267, 649, 616, 1175, 607, 1454, 6766, 676, 873, 267, 4849, 538, 513, 2942, 1259, 563, 2171, 5581, 6000, 1759, 593, 3586, 6476, 547, 1866, 269, 1284, 782, 1616, 1018, 1866, 723, 282, 32047, 267, 938, 6574, 8788, 568, 950, 649, 723, 1945, 1866, 798, 711, 723, 610, 950, 649, 2744, 1945, 693, 741, 13258, 563, 3383, 938, 2123, 3961, 568, 7683, 3989, 676, 938, 1604, 267, 543, 950, 649, 1847, 5054, 267, 610, 519, 1604, 568, 4657, 267, 649, 1689, 609, 621, 563, 3383, 945, 649, 1589, 649, 616, 814, 4986, 547, 798, 609, 945, 649, 2965, 1223, 581, 269, 1284, 616, 19385, 14688, 19703, 883, 513, 1915, 998, 799, 649, 666, 798, 1655, 538, 513, 2016, 1604, 563, 2171, 1223, 1265, 856, 945, 649, 2731, 616, 282, 649, 1223, 1265, 938, 3020, 9759, 543, 3597, 540, 968, 712, 9997, 892, 538, 519, 1318, 1604, 269, 1403, 649, 3710, 513, 4130, 610, 3677, 2443, 1256, 2518, 2443, 1604, 602, 568, 3710, 1759, 593, 519, 29656, 7059, 543, 20102, 7471, 10959, 540, 7186, 267, 538, 602, 1604, 267, 1142, 1367, 1223, 1265, 543, 30593, 741, 2189, 267, 1034, 6099, 543, 9048, 2897, 762, 1909, 538, 7674, 519, 2898, 1062, 269, 769, 2132, 267, 1142, 1131, 1175 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12566, 20625, 7544, 2066, 513, 11380, 267, 27229, 519, 15472, 19259, 269, 4347, 775, 18830, 519, 14730, 8551, 5049, 4001, 519, 4354, 572, 540, 519, 32181, 625, 267, 519, 12928, 1442, 3724, 29883, 343, 267, 543, 1114, 2081, 547, 1521, 941, 342, 6504, 17486, 269, 4173, 321, 1108, 1053, 1353, 1585, 2371, 543, 13271, 267, 971, 607, 667, 8636, 1415, 543, 8061, 559, 781, 10965, 732, 269, 769, 3778, 540, 18903, 267, 1053, 1451, 519, 4408, 543, 7389, 540, 1585, 4583, 2621, 543, 1004, 267, 1519, 661, 1337, 519, 5345, 559, 267, 772, 878, 519, 744, 9536, 4252, 267, 519, 2782, 6674, 781, 13482, 540, 476, 10204, 280, 267, 519, 23266, 540, 519, 1582, 3613, 597, 2590, 28471, 323, 1258, 267, 1585, 979, 4565, 514, 15141, 687, 267, 543, 519, 909, 23438, 540, 4432, 325, 878, 519, 661, 4526, 269, 3690, 14808, 4851, 1053, 1590, 1491, 1950, 4967, 1354, 1565, 519, 11963, 547, 2490, 513, 6474, 883, 513, 13549, 267, 519, 10856, 883, 2879, 4428, 7901, 11963, 267, 543, 519, 22732, 532, 1975, 749, 269, 14936, 267, 1494, 687, 1053, 1451, 519, 595, 675, 585, 4425, 2812, 1494, 542, 267, 543, 519, 1280, 1326, 6888, 8000, 542, 563, 5575, 1032, 9993, 454, 5575, 1296, 3112, 979, 547, 670, 9233, 1889, 1228, 609, 519, 1053, 538, 519, 3791, 1032, 610, 1657, 267, 543, 616, 711, 15868, 547, 723, 741, 1378, 2156, 558, 22496, 3330, 519, 1153, 12406, 610, 6443, 519, 2372, 1342, 3558, 2319, 267, 606, 9868, 1373, 16452, 25260, 267, 945, 729, 2016, 513, 715, 12494, 639, 476, 1220, 271, 538, 1010, 1101, 1032, 543, 602, 1482, 1032, 267, 8678, 519, 717, 787, 742, 785, 528, 2372, 1342, 3558, 2319, 269, 1358, 616, 2417, 24193, 689, 2921, 6555, 1588, 267, 631, 10212, 548, 5525, 267, 5530, 540, 9147, 14840, 525, 267, 5516, 540, 7395, 673, 6282, 999, 543, 1488, 603, 2006, 1097, 2394, 3791, 1032, 267, 543, 2561, 541, 819, 543, 1325, 17057, 344, 2394, 15795, 1032, 563, 268, 16452, 25260, 543, 519, 11096, 9372, 781, 12942, 630, 5575, 5920, 994, 268, 16452, 25260, 543, 519, 11096, 9372, 781, 12942, 630, 28291, 994, 268, 16452, 25260, 543, 519, 11096, 9372, 781, 12942, 630, 341, 8721, 3014, 994, 268, 16452, 25260, 543, 519, 25679, 540, 31981, 454, 268, 16452, 25260, 543, 519, 25679, 540, 31981, 630, 28291, 994, 268, 16452, 25260, 543, 519, 25679, 540, 31981, 630, 341, 8721, 3014, 994, 268, 16452, 25260, 543, 519, 29277, 518, 540, 10897, 330, 629, 534, 454, 268, 16452, 25260, 543, 519, 29277, 518, 540, 10897, 330, 629, 534, 630, 28291, 994, 268, 16452, 25260, 543, 519, 29277, 518, 540, 10897, 330, 629, 534, 630, 341, 8721, 3014, 994, 268, 16452, 25260, 543, 519, 717, 984, 2280, 540, 9605, 454, 268, 16452, 25260, 543, 519, 717, 984, 2280, 540, 9605, 630, 28291, 994, 268, 16452, 25260, 543, 519, 11352, 540, 519, 27925, 454, 268, 16452, 25260, 543, 519, 11352, 540, 519, 27925, 630, 28291, 994, 268, 16452, 25260, 543, 519, 11352, 540, 519, 27925, 630, 341, 8721, 3014, 994, 268, 16452, 25260, 543, 519, 21009, 5174, 331, 797, 13584, 454, 268, 16452, 25260, 543, 519, 21009, 5174, 331, 797, 13584, 630, 28291, 994, 268, 16452, 25260, 543, 519, 21009, 5174, 331, 797, 13584, 630, 341, 8721, 3014, 994, 268, 16452, 25260, 543, 519, 12280, 569, 8065, 3298, 454, 268, 16452, 25260, 543, 519, 12280, 569, 8065, 3298, 281, 3487, 476, 273, 454, 268, 16452, 25260, 543, 519, 12280, 569, 8065, 3298, 281, 3487, 476, 273, 630, 341, 8721, 3014, 994, 268, 700, 9680, 302, 16452, 25260, 281, 13012, 476, 272, 268, 275, 454, 268, 700, 9680, 302, 16452, 25260, 281, 13012, 476, 276, 268, 278, 454, 268, 16452, 25260, 281, 634, 10886, 966, 5435, 454, 268, 16452, 25260, 281, 634, 6282, 675, 966, 5435, 454, 24687, 543, 8100, 454, 347, 5575, 910, 5822, 910, 12059, 910, 19549, 910, 25004, 910, 14520, 628, 910, 1530, 22770, 347 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 898, 779, 2629, 547, 1174, 602, 2043, 2746, 547, 891, 1079, 2010, 540, 14245, 3833, 8335, 269, 1306, 4213, 543, 2043, 11441, 547, 1118, 1239, 12454, 3664, 267, 519, 3903, 1063, 12125, 543, 7515, 3587, 513, 2565, 835, 563, 763, 1883, 1491, 12537, 568, 547, 1589, 827, 707, 5304, 1247, 14045, 1063, 513, 3349, 543, 513, 3113, 269, 32341, 1759, 593, 519, 28252, 540, 519, 2838, 8642, 563, 5475, 713, 2656, 2689, 540, 875, 1142, 1568, 543, 930, 2798, 540, 950, 789, 1522, 581, 1031, 267, 596, 666, 1711, 1239, 32331, 602, 616, 2312, 267, 13801, 267, 543, 2500, 563, 301, 514, 10937, 23959, 1700, 31418, 5006, 7305, 623, 1663, 6265, 538, 31964 ]

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

[ 540, 476, 2412, 543, 476, 4792, 269, 634, 3173, 4941, 547, 7747, 519, 1114, 5933, 540, 519, 5912, 540, 22797, 1210, 19182, 3674, 543, 27946, 18767, 547, 4063, 2634, 2242, 602, 7018, 269, 634, 3804, 729, 547, 1205, 513, 2070, 540, 1018, 4523, 547, 519, 2634, 2429, 519, 2242, 540, 22797, 1312, 1354, 621, 3459, 543, 1310, 621, 729, 936, 269, 634, 1353, 849, 9763, 2592, 540, 519, 12058, 540, 2367, 538, 713, 1482, 2085, 2039, 585, 6476, 1063, 519, 28486, 563, 763, 2164, 540, 713, 1353, 1336, 602, 22797, 1281, 8197, 2014, 2242, 538, 519, 2634, 269, 769, 1249, 267, 3173, 1336, 602, 2021, 779, 12058, 1689, 3833, 513, 3787, 950, 3379, 547, 2367, 779, 12058, 269, 9093, 18108, 729, 1336, 547, 1689, 519, 2634, 779, 2497, 267, 1648, 4616, 267, 543, 14479, 269, 4634, 519, 4320, 540, 12457, 2339, 538, 519, 2634, 267, 8519, 2059, 609, 519, 3043, 2339, 267, 799, 3568, 519, 11103, 602, 1921, 8229, 2281, 269, 898, 849, 1336, 602, 538, 2021, 267, 519, 4525, 540, 519, 2634, 2404, 609, 3965, 543, 8226, 849, 4951, 19394, 7280, 2157, 563, 763, 1434, 3377, 2705, 267, 568, 621, 5526, 602, 2021, 779, 12058, 3082, 547, 713, 1007, 3339, 269, 634, 1353, 1336, 602, 2021, 779, 12058, 941, 2111, 547, 693, 2547, 14356, 22771, 585, 891, 23229, 609, 2333, 1973, 2095, 543, 2504, 540, 513, 11140, 1572, 21085, 267, 519, 1292, 1648, 2707, 585, 2281, 269, 7427, 5346, 18767, 1079, 1296, 2022, 2173, 523, 18108, 1336, 602, 2634, 2242, 616, 1419, 23644, 267, 543, 538, 930, 2694, 540, 519, 2634, 9258, 1369, 513, 1906, 1296, 563, 3080, 13946, 520, 540, 519, 1353, 4681, 729, 602, 2021, 609, 513, 4719, 14583, 2404, 609, 513, 2362, 1981, 540, 3384, 12216, 779, 2068, 1185, 811, 29693, 13196, 540, 513, 3940, 1572, 26887, 1355, 12498, 267, 5532, 547, 12216, 779, 2068, 267, 1282, 829, 11948, 18108, 982, 2021, 543, 2367, 1510, 519, 4719, 14583, 269, 6480, 4088, 14014, 519, 4775, 2634, 689, 10172, 543, 25623, 8849, 2534, 269, 901, 2337, 547, 2061, 519, 19221, 540, 13421, 540, 5946, 610, 29693, 13196, 267, 5532, 547, 12216, 779, 2068, 563, 24464, 18108, 949, 581, 17149, 2059, 609, 519, 2589, 2404, 609, 621, 267, 855, 2021, 666, 1491, 3268, 5329, 741, 2634, 2635, 543, 3514, 269, 3371, 616, 930, 10372, 5009, 2634, 1072, 585, 2021, 912, 7804, 269, 6424, 6341, 14508, 568, 519, 10615, 540, 9093, 779, 2657, 543, 772, 6331, 545, 2201, 19223, 693, 853, 269, 14731, 11233, 538, 7043, 6816, 269, 1261, 779, 513, 12021, 543, 3810, 3811, 4604, 14468, 772, 6331, 545, 2201, 322, 6048, 16869, 543, 7605, 5328, 31048, 517, 538, 1715, 3840, 4975, 267, 9833, 607, 835, 540, 519, 3056, 17150, 23262, 538, 519, 772, 2529, 1421, 609, 513, 5318, 6791, 538, 17150, 2860, 2126, 543, 7605, 5328, 5025, 1087, 13554, 700, 777, 541, 25646, 1160, 8063, 551, 3912, 269, 3220, 269, 6341, 14508, 568, 513, 2564, 23784, 547, 5240, 16655, 7641, 543, 568, 849, 519, 2278, 540, 634, 31597, 631, 3198, 783, 267, 3220, 269, 6341, 14508, 779, 6651, 547, 9093, 779, 2657, 543, 25682, 267, 2139, 2228, 1312, 593, 8835, 543, 4446, 5886, 1299, 32201, 269, 16731, 3220, 269, 6341, 14508, 779, 7270, 693, 18951, 593, 3712, 334, 14934, 543, 17150, 2860, 476, 26605, 269, 0, 26596, 631, 7865, 548, 781, 5783, 454, 763, 2245, 10305, 922, 5748, 547, 522, 1777, 821, 594, 6250, 4186, 328, 630, 13040, 276, 268, 9340, 272, 1070, 555, 3326, 724, 972, 616, 1100, 2386, 20209, 1878, 269, 634, 1101, 12190, 7240, 2707, 547, 2446, 519, 5939, 4422, 1394, 547, 476, 14056, 280, 269, 853, 269, 631, 7865, 548, 13195, 519, 3504, 8303, 5939, 540, 7136, 3626, 607, 1279, 607, 476, 15647, 276, 269, 634, 3312, 2679, 729, 11643, 547, 1297, 1652, 973, 739, 2315, 281, 538, 519, 1101, 3368, 540, 519, 476, 1428, 628, 2540, 519, 5939, 729, 2016, 922, 1459, 14328, 3337, 267, 609, 519, 8122, 13455, 676, 1614, 8424, 540, 22225, 676, 1797, 540, 519, 30617, 269, 0, 294, 327, 3570, 568, 513, 2197, 1141, 621, 568, 2009, 547, 2743, 5095, 945, 1869, 2661, 2687, 547, 3504, 5389, 267, 7390, 642, 797, 5622, 18428, 543, 824, 17174, 12738, 267, 1205, 547, 917, 835, 540, 519, 1034, 3532, 3979, 25267, 267, 3643, 519, 28151, 6580, 1394, 547, 519, 7810, 1974, 543, 519, 8909, 10553, 4123, 267, 3802, 538, 519, 918, 752, 636, 14175, 10809, 543, 1118, 3078, 1760, 30213, 563, 294, 327, 3570, 814, 513, 3638, 1686, 543, 28933, 3504, 28151, 543, 585, 1206, 602, 941, 1031, 267, 1282, 519, 1974, 540, 519, 10553, 4123, 267, 607, 12074, 585, 10437, 543, 824, 25584, 563, 763, 15729, 11076, 31069, 267, 3710, 538, 519, 476, 1626, 628, 2540, 267, 543, 2663, 22058, 730, 543, 6905, 267, 6039, 607, 519, 4493, 540, 519, 3703, 7245, 540, 519, 7108, 11076, 2394, 476, 6942, 278, 267, 950, 621, 729, 6410, 547, 519, 10271, 321, 3073, 16836, 538, 6452, 571, 563, 2005, 568, 2009, 547, 3643, 519, 15729, 11076, 6830, 267, 621, 568, 4277, 543, 26648, 547, 1265, 856, 875, 10437, 941, 5701, 267, 18374, 899, 1022, 824, 20161, 282, 789, 941, 16081, 4364, 883, 519, 546, 25128, 976, 543, 6854, 538, 21016, 576, 22133, 31978, 545, 2175, 1354, 1373, 834, 3333, 5792, 257, 547, 519, 17113, 563, 288, 2370, 2417, 547, 519, 4639, 6013, 519, 14500, 540, 4432, 332, 2088, 267, 519, 1101, 14082, 11175, 3964, 538, 19168, 563, 763, 4070, 540, 519, 14500, 7389, 1394, 547, 519, 2034, 3368, 540, 519, 6957, 18818, 2540, 543, 2221, 814, 1044, 9927, 883, 513, 1507, 9754, 1310, 513, 6297, 11808, 282, 621, 568, 835, 540, 519, 1292, 16499, 23888, 540, 519, 3520, 5558, 540, 519, 10553, 4123, 563, 298, 636, 14515, 529, 519, 3504, 3854, 540, 519, 12891, 21468, 10806, 267, 835, 540, 519, 1034, 3532, 3979, 25267, 2394, 519, 13524, 2540, 282, 519, 1514, 3919, 540, 519, 12891, 21468, 529, 10704, 593, 519, 4137, 540, 12891, 14397, 515, 928, 267, 519, 4622, 540, 782, 12891, 21468, 563, 1103, 519, 2250, 519, 12891, 21468, 941, 519, 561, 3581, 540, 16450, 543, 4154, 267, 789, 1185, 865, 1454, 4154, 602, 789, 1031, 621, 607, 606, 7533, 851, 540, 741, 30933, 1282, 18428, 267, 789, 1500, 9735, 9925, 1564, 602, 941, 267, 543, 1869, 616, 267, 1634, 2429, 4639, 4000, 563, 2304, 20605, 1995, 568, 519, 7589, 538, 513, 6093, 12891, 21468, 24133, 267, 1141, 1920, 2818, 267, 2828, 543, 29872, 1734, 540, 519, 21549, 26544, 9849, 741, 2757, 10571, 267, 513, 1804, 2699, 610, 3109, 12308, 12816, 899, 513, 547, 8615, 563, 16914, 571, 267, 519, 3854, 540, 19168, 267, 568, 606, 2498, 12883, 1417, 2749, 1141, 2575, 568, 2141, 1459, 267, 689, 519, 10754, 547, 519, 7678, 5006, 14060, 543, 1167, 657, 282, 855, 6452, 571, 729, 849, 519, 3140, 3854, 540, 519, 13642, 11076, 267, 519, 1747, 1141, 519, 1101, 3864, 3935, 9088, 12306, 563, 763, 2749, 28933, 4190, 1806, 540, 7810, 6189, 543, 519, 585, 1206, 3710, 676, 13896, 267, 971, 607, 10783, 6276, 267, 3710, 676, 519, 2296, 538, 476, 15757, 274, 267, 593, 519, 3135, 540, 513, 5449, 14082, 14500, 267, 543, 772, 1087, 615, 10783, 519, 9510, 25167, 2679, 538, 519, 2749, 267, 3710, 676, 519, 10656, 538, 476, 13932, 273, 563, 763, 8664, 540, 11918, 652, 1144, 267, 602, 3217, 922, 2012, 689, 519, 14500, 267, 568, 513, 10068, 8498, 267, 1631, 11368, 676, 519, 2749, 540, 6452, 571, 267, 538, 6024, 1646, 282, 5103, 713, 267, 519, 8498, 25601, 922, 19259, 543, 519, 2238, 602, 1491, 1747, 972, 563, 763, 29940, 979, 856, 10068, 593, 11954, 14039, 5766, 1132, 267, 6849, 519, 6329, 540, 519, 5836, 267, 543, 267, 593, 741, 2132, 267, 519, 2021, 1491, 1416, 540, 7738, 543, 7296, 519, 3165, 267, 1210, 5458, 21596, 267, 1500, 689, 4401, 29054, 563, 763, 24462, 616, 7920, 607, 1134, 607, 519, 1272, 540, 519, 8498, 267, 1141, 972, 616, 1100, 21490, 9897, 543, 267, 1247, 519, 1453, 1404, 593, 519, 11824, 267, 519, 2367, 616, 3743, 585, 544, 2056, 10068, 24437, 543, 10935, 5826, 563, 1103, 19168, 972, 616, 1082, 5095, 543, 6803, 2516, 267, 16310, 519, 12891, 656, 527, 1877, 616, 519, 12821, 32586, 667, 698, 4861, 320, 267, 519, 23951, 330, 4861, 320, 267, 519, 700, 11893, 663, 519, 717, 584, 12584, 328, 282, 789, 616, 4277, 11031, 547, 3643, 607, 789, 723, 9738, 543, 12873, 741, 5389, 543, 18428, 563, 3719, 19168, 568, 849, 513, 2603, 540, 2470, 267, 972, 616, 476, 1626, 6870, 2127, 267, 8720, 513, 2698, 540, 476, 277, 260, 540, 519, 2197, 781, 8513, 563, 763, 1034, 1271, 2067, 2065, 1858, 568, 519, 631, 1961, 2817, 5244, 267, 602, 568, 4092, 538, 519, 8832, 23617, 540, 519, 2197, 543, 814, 513, 5260, 20087, 5251, 609, 10889, 531, 3996, 267, 22171, 267, 1884, 601, 8554, 267, 21495, 543, 19246, 282, 596, 666, 1118, 1760, 30213, 1312, 676, 1286, 543, 593, 3723, 267, 1934, 596, 666, 849, 3786, 585, 519, 3781, 538, 519, 5260, 20087, 563, 763, 918, 752, 636, 2817, 5244, 529, 4092, 538, 519, 22986, 1858, 267, 7064, 547, 519, 24588, 540, 918, 752, 636, 267, 513, 8115, 540, 887, 6647, 17956, 547, 5374, 15791, 543, 17479, 693, 513, 4463, 540, 476, 1789, 268, 2412, 7397, 267, 596, 666, 23507, 519, 29814, 4104, 689, 1657, 267, 519, 918, 752, 636, 781, 24588, 4564, 519, 13074, 543, 32399, 8115, 540, 922, 2186, 538, 519, 1158, 563, 763, 10723, 4104, 540, 674, 328, 9047, 4425, 629, 523, 724, 11817, 519, 22171, 3933, 320, 663, 519, 2051, 984, 639, 267, 2249, 2808, 10723, 676, 519, 2199, 2551, 282, 596, 666, 5702, 7747, 891, 20036, 7068, 602, 798, 711, 4250, 812, 267, 865, 607, 547, 4283, 5321, 543, 6517, 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 ]

[ 1134, 5630, 540, 519, 1533, 779, 4961, 3340, 6707, 18997, 782, 540, 922, 1453, 269, 3345, 10491, 779, 1699, 2069, 1062, 14543, 547, 2743, 519, 2069, 2115, 540, 1082, 540, 922, 1453, 543, 7551, 14543, 547, 1683, 585, 519, 2104, 1967, 540, 891, 2043, 267, 741, 2950, 267, 543, 519, 1533, 1848, 1284, 1131, 4126, 602, 5103, 519, 1686, 540, 7292, 17478, 267, 5094, 855, 21376, 2069, 267, 3043, 8184, 267, 519, 4417, 540, 22497, 3506, 267, 602, 713, 1867, 786, 1689, 476, 4968, 4627, 1296, 540, 21376, 2069, 269, 634, 2104, 540, 3345, 10491, 538, 513, 1158, 602, 568, 4742, 4130, 4948, 5673, 593, 7598, 519, 4681, 585, 519, 1732, 618, 540, 1053, 267, 3237, 543, 3025, 3238, 538, 18997, 519, 1453, 540, 3345, 10491, 563, 268, 3345, 10491, 17037, 616, 6849, 513, 14869, 1565, 7455, 538, 476, 1708, 271, 454, 2467, 779, 782, 2186, 540, 1007, 856, 972, 269, 1715, 1533, 14130, 543, 5600, 13102, 585, 930, 282, 1715, 772, 2529, 269, 18322, 1308, 13102, 282, 1715, 13359, 6191, 282, 1715, 28056, 9517, 4170, 282, 589, 1007, 267, 543, 14320, 4505, 267, 3119, 4266, 269, 6875, 856, 707, 22796, 267, 3214, 267, 1317, 713, 568, 782, 2469, 547, 581, 593, 519, 1449, 269, 634, 1101, 1900, 585, 17037, 1058, 581, 547, 4137, 856, 1141, 789, 616, 1310, 782, 519, 4786, 2699, 3863, 532, 269, 3619, 547, 519, 3345, 10491, 8274, 540, 5082, 687, 19534, 966, 582, 518, 6733, 1575, 2985, 267, 24362, 538, 707, 2012, 543, 10315, 267, 543, 596, 3580, 1294, 707, 18322, 1308, 8664, 267, 1533, 14130, 8664, 267, 1533, 5600, 8664, 267, 16324, 267, 18513, 543, 1153, 13102, 269, 1411, 3580, 849, 1294, 952, 596, 2461, 14261, 568, 3742, 267, 513, 8797, 3364, 547, 2638, 269, 2368, 540, 519, 18322, 1308, 13102, 941, 2699, 22148, 13497, 282, 972, 779, 513, 13618, 602, 519, 2025, 7851, 267, 799, 5795, 25743, 513, 476, 1015, 268, 274, 5413, 538, 519, 18322, 1308, 15518, 566, 267, 786, 2693, 6521, 547, 606, 476, 279, 268, 276, 717, 8008, 5413, 269, 5565, 13102, 267, 519, 476, 273, 526, 543, 476, 277, 628, 267, 941, 2699, 22148, 547, 3927, 19068, 856, 717, 8008, 1651, 3518, 757, 6723, 670, 13783, 543, 4460, 21701, 269, 634, 2034, 4682, 689, 513, 1341, 1724, 717, 8008, 10160, 547, 1341, 866, 14891, 269, 630, 4322, 2338, 2992, 851, 16388, 10709, 902, 19486, 1996, 519, 10315, 607, 513, 2898, 1040, 634, 15795, 17146, 689, 681, 266, 1626, 547, 667, 266, 1240, 269, 715, 622, 18234, 779, 12866, 1320, 8812, 292, 697, 3135, 267, 799, 1835, 31708, 1239, 543, 12642, 689, 3584, 8151, 689, 6214, 547, 5026, 267, 3081, 602, 1256, 609, 519, 1007, 7851, 267, 519, 1533, 568, 1869, 796, 29446, 269, 1306, 540, 5463, 269, 476, 278, 267, 476, 1001, 280, 267, 796, 3530, 559, 7007, 17037, 941, 519, 1034, 3875, 538, 519, 1533, 267, 609, 5176, 476, 273, 269, 276, 2929, 20579, 1261, 1564, 1818, 602, 3903, 269, 1703, 941, 476, 273, 269, 2537, 2929, 14891, 9549, 7373, 5928, 543, 476, 273, 269, 6860, 2929, 25743, 269, 6736, 1346, 2338, 267, 12866, 1320, 8812, 292, 697, 4967, 519, 717, 8008, 1131, 1491, 476, 279, 540, 476, 1724, 18322, 1308, 16295, 538, 513, 717, 8008, 5951, 1032, 609, 519, 1007, 7851, 267, 543, 849, 476, 279, 540, 476, 1724, 538, 513, 9243, 1032, 1107, 543, 538, 513, 14891, 5951, 1032, 607, 1134, 269, 898, 779, 6059, 621, 1131, 1491, 513, 9791, 23329, 1107, 1341, 1724, 14891, 25422, 1107, 585, 513, 5354, 540, 519, 1533, 779, 18322, 1308, 16295, 547, 2490, 14891, 269, 7982, 547, 6927, 693, 1688, 281, 2659, 2199, 4604, 540, 12836, 666, 2995, 596, 1018, 2186, 540, 9517, 596, 3580, 991, 269, 7937, 267, 543, 596, 8910, 1732, 1205, 593, 713, 267, 1317, 3079, 540, 513, 2904, 3119, 267, 3345, 10491, 814, 6410, 922, 3119, 1394, 547, 4728, 476, 274, 269, 15528, 269, 3767, 602, 596, 4076, 23125, 856, 1141, 596, 616, 543, 1018, 14797, 596, 666, 8917, 585, 267, 1631, 596, 723, 547, 4137, 856, 945, 707, 26717, 616, 269, 901, 4992, 3551, 267, 855, 538, 3345, 10491, 267, 621, 1373, 3345, 10491, 543, 782, 267, 972, 779, 513, 3787, 540, 513, 6335, 269, 1284, 946, 513, 10859, 12641, 2216, 3119, 267, 799, 3622, 1797, 952, 596, 2461, 513, 10805, 5428, 4759, 1107, 9139, 267, 14891, 267, 5682, 267, 19115, 4115, 610, 17044, 1107, 596, 666, 1152, 8917, 538, 707, 5428, 779, 3119, 269, 3143, 15385, 519, 1899, 547, 2119, 547, 4584, 1055, 2576, 538, 1776, 5428, 596, 1810, 1406, 899, 269, 1403, 596, 2461, 796, 3530, 559, 7007, 267, 596, 666, 4584, 835, 540, 1346, 5428, 3440, 1824, 269, 18391, 693, 945, 814, 10805, 547, 2196, 585, 772, 2529, 269, 7022, 538, 3345, 10491, 267, 596, 4867, 723, 513, 3903, 540, 476, 1428, 24273, 952, 596, 3442, 602, 3440, 582, 267, 835, 5682, 9549, 543, 835, 17044, 9549, 3903, 267, 1079, 9139, 10457, 267, 543, 476, 1626, 19115, 4115, 10457, 269, 1403, 596, 2461, 796, 3530, 559, 7007, 543, 1616, 547, 7914, 883, 835, 540, 519, 22125, 14797, 267, 596, 3580, 723, 547, 1382, 519, 1367, 10457, 269, 3807, 676, 1259, 540, 1383, 2638, 856, 21502, 514, 11146, 10966, 267, 945, 779, 835, 540, 519, 476, 1626, 19115, 4115, 10457, 269, 20223, 4162, 281, 28871, 31273, 513, 18849, 593, 1010, 2212, 282, 11438, 513, 1804, 28750, 269, 25957, 281, 13495, 2218, 5694, 17678, 676, 4341, 540, 1876, 269, 12409, 23793, 281, 769, 2250, 267, 814, 5859, 539, 593, 1990, 4861, 773, 3284, 5914, 2988, 572, 4656, 269, 4317, 270, 11296, 3609, 281, 8871, 2478, 513, 1863, 533, 3415, 547, 4892, 269, 769, 2110, 267, 9157, 855, 4023, 269, 17610, 267, 13915, 2161, 21502, 514, 949, 581, 538, 519, 17927, 540, 8262, 623, 3415, 269, 1809, 952, 646, 779, 11221, 789, 3580, 581, 6031, 602, 609, 513, 10875, 267, 6505, 12837, 269, 808, 990, 658, 640, 11735, 267, 17037, 991, 547, 1205, 547, 960, 269, 1284, 2461, 593, 519, 9219, 585, 476, 1708, 271, 563, 268, 634, 1715, 674, 8862, 867, 630, 293, 1515, 1145, 994, 4415, 519, 476, 1708, 271, 9550, 3138, 4040, 267, 930, 540, 968, 933, 519, 1004, 892, 31739, 519, 1857, 29027, 20038, 2899, 1336, 538, 519, 1631, 12413, 9417, 476, 3707, 280, 12876, 1145, 1684, 551, 9068, 269, 17848, 539, 538, 519, 476, 4572, 278, 15571, 2920, 267, 5293, 547, 4383, 519, 1857, 779, 2011, 30335, 267, 519, 8549, 18058, 8189, 2847, 12097, 621, 538, 476, 2735, 278, 267, 851, 540, 519, 31144, 7245, 779, 7029, 547, 632, 28832, 269, 1763, 19895, 2787, 3646, 723, 8959, 269, 1306, 12721, 2792, 9055, 8118, 267, 519, 20317, 540, 13739, 8552, 2968, 544, 2393, 269, 634, 1523, 540, 2011, 30335, 607, 513, 1857, 3972, 8593, 676, 519, 2081, 728, 269, 595, 762, 8613, 543, 9682, 6786, 6591, 2666, 267, 543, 519, 4950, 267, 609, 922, 9153, 540, 4763, 267, 2482, 593, 519, 16880, 269, 769, 476, 1001, 272, 267, 1282, 519, 15525, 7245, 267, 519, 674, 6717, 22696, 5529, 519, 14985, 779, 2063, 14074, 269, 4653, 267, 519, 10163, 648, 519, 12876, 1145, 1684, 551, 9068, 2920, 540, 476, 1001, 280, 267, 5189, 538, 5181, 630, 308, 2529, 269, 3115, 269, 570, 6160, 328, 717, 13741, 731, 267, 667, 6953, 296, 1070, 1658, 8460, 538, 12233, 269, 2334, 779, 513, 17847, 269, 968, 7212, 519, 12876, 1145, 1684, 551, 9068, 779, 7145, 543, 17997, 1464, 616, 3181, 23534, 267, 621, 9415, 8417, 4724, 5752, 12886, 543, 3177, 2199, 2950, 606, 1271, 1907, 609, 799, 547, 3180, 3376, 322, 7539, 18177, 2223, 11339, 8841, 17292, 731, 538, 513, 476, 1001, 279, 2376, 538, 519, 4139, 4750, 540, 18058, 269, 17292, 731, 568, 7548, 693, 519, 2160, 540, 12425, 779, 7788, 28086, 3427, 585, 18058, 269, 634, 14985, 779, 3677, 3483, 267, 1419, 15763, 267, 729, 547, 1118, 2386, 13739, 12689, 525, 4988, 2152, 540, 1857, 2956, 538, 513, 4023, 6073, 269, 589, 561, 3512, 762, 2530, 267, 2016, 4797, 28051, 543, 519, 8701, 1944, 267, 851, 16388, 3377, 602, 16204, 836, 909, 1310, 519, 14985, 779, 2669, 269, 5398, 1719, 2152, 1394, 538, 519, 1554, 3769, 4600, 685, 2924, 267, 6046, 2030, 4070, 267, 1256, 2732, 543, 1072, 269, 1403, 10473, 8959, 547, 3343, 543, 2011, 15852, 5784, 267, 789, 1223, 6336, 27121, 610, 3068, 25430, 2042, 610, 581, 2838, 547, 1683, 942, 585, 12721, 5784, 952, 789, 22821, 1406, 1044, 513, 1600, 269, 769, 922, 15194, 267, 519, 674, 6717, 11855, 519, 968, 577, 3739, 1198, 892, 593, 3376, 322, 7539, 685, 1863, 4633, 269, 4595, 1034, 19374, 10704, 593, 5821, 547, 2011, 4570, 15852, 5784, 267, 930, 3376, 322, 7539, 16718, 2011, 532, 1857, 29027, 2152, 267, 543, 1256, 6976, 5752, 267, 602, 1522, 9594, 741, 12876, 1145, 1684, 551, 9068, 13800, 269, 5518, 31144, 1654, 1729, 539, 519, 3915, 6837, 5293, 547, 5368, 8063, 519, 14985, 282, 5518, 6723, 670, 15030, 269, 17312, 779, 1654, 1729, 3463, 15286, 1776, 4674, 269, 634, 14985, 1185, 15068, 835, 1863, 4633, 4161, 538, 476, 3422, 280, 950, 519, 10966, 7040, 909, 18988, 922, 1101, 268, 600, 10180, 11156, 1275, 269, 769, 922, 4466, 267, 590, 4596, 307, 4785, 26693, 9458, 685, 2924, 811, 8185, 982, 1346, 540, 3376, 322, 7539, 267, 609, 7744, 2094, 20402, 269, 769, 476, 2735, 278, 267, 519, 674, 6717, 1336, 519, 12876, 1145, 1684, 551, 9068, 26991, 519, 1101, 17203, 2924, 540, 3376, 322, 7539, 267, 1498, 1100, 5480, 814, 9619, 519, 13338, 2243, 269, 634, 3312, 14985, 779, 1857, 29027, 11865, 814, 1419, 1044, 1476, 3836, 609, 519, 3160, 4316, 4341, 267, 799, 1869, 6818, 267, 855, 1152, 585, 2797, 10457, 267, 711, 18793, 267, 543, 609, 17756, 269, 2480, 1117, 27968, 23079, 538, 11042, 267, 32026, 267, 543, 5544, 3377, 3795, 616, 23614, 269, 901, 10039, 547, 513, 2647, 24365, 540, 3292, 267, 1256, 968, 763, 17623, 8058, 892, 609, 15537, 2051, 6975, 267, 9913, 602, 3006, 2934, 10457, 607, 14538, 269, 9453, 513, 11134, 779, 25992, 5639, 610, 3239, 267, 519, 3160, 942, 4341, 3085, 1406, 4019, 269, 1290, 680, 11989, 941, 19429, 1996, 12689, 5710, 1023, 540, 1079, 16855, 5925, 10473, 1317, 789, 8959, 547, 2285, 3160, 942, 547, 18793, 540, 17044, 29583, 269, 8845, 21701, 779, 18545, 538, 513, 11291, 9550, 267, 1310, 519, 10473, 513, 1600, 1489, 585, 21701, 269, 634, 674, 6717, 538, 476, 1001, 275, 25323, 1346, 20286, 281, 968, 288, 12689, 324, 814, 3376, 24787, 1765, 22372, 593, 922, 1318, 547, 1863, 4633, 23121, 3442, 519, 5752, 602, 621, 11099, 5713, 519, 2115, 543, 4690, 540, 519, 2818, 540, 922, 5304, 1848, 2755, 621, 779, 15673, 532, 547, 28025, 16620, 519, 4473, 538, 851, 16388, 3377, 593, 519, 14985, 779, 27757, 267, 519, 3390, 568, 711, 865, 2241, 269, 667, 699, 326, 1637, 23185, 28051, 607, 8441, 538, 2029, 4957, 519, 2923, 1606, 3874, 269, 9608, 6947, 3457, 267, 585, 3236, 267, 1500, 5925, 779, 2575, 12043, 1447, 13267, 543, 1447, 19311, 269, 13185, 5280, 6445, 602, 20704, 269, 634, 12876, 1145, 1684, 551, 9068, 1281, 7639, 267, 538, 1857, 5717, 267, 1498, 621, 779, 1419, 6659, 676, 11122, 2510, 607, 513, 3090, 540, 9431, 936, 18943, 269, 1358, 3095, 621, 547, 2121, 29591, 267, 519, 2856, 602, 4950, 7426, 1058, 1521, 782, 1239, 519, 1482, 267, 2864, 982, 17979, 835, 1826, 540, 1543, 267, 3593, 267, 3760, 267, 3896, 267, 3937, 543, 971, 267, 936, 1776, 269, 1809, 713, 6240, 568, 13061, 547, 519, 12876, 1145, 1684, 551, 9068, 269, 634, 1152, 6252, 1063, 519, 1079, 2093, 267, 17292, 731, 4967, 538, 606, 4757, 5385, 267, 568, 602, 968, 18485, 616, 1857, 1719, 20038, 602, 616, 3843, 547, 2232, 5010, 4430, 525, 538, 2792, 1949, 1848, 1452, 2395, 267, 9271, 538, 19761, 543, 13671, 5010, 2923, 723, 14944, 1441, 1857, 29027, 3377, 269, 8889, 7459, 1223, 948, 11177, 1857, 3972, 269, 3703, 3376, 322, 7539, 1246, 968, 16746, 31717, 640, 892, 3652, 538, 2797, 3795, 267, 17292, 731, 4967, 267, 799, 22740, 3278, 2923, 10909, 543, 9458, 547, 3666, 269, 1548, 1522, 513, 476, 2641, 560, 2540, 5075, 540, 1857, 1719, 3795, 1413, 899, 286, 594, 15054, 713, 2243, 547, 17292, 731, 269, 968, 6546, 3377, 19093, 1058, 1745, 25997, 547, 3382, 1271, 3609, 2152, 689, 2789, 5380, 269, 1548, 267, 585, 1383, 267, 16737, 5240 ]

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

[ 3299, 2715, 273, 281, 18358, 534, 28710, 476, 276, 281, 18358, 31435, 11172, 348, 994, 825, 1412, 31435, 7055, 825, 21188, 1265, 318, 743, 657, 652, 8548, 2255, 3488, 344, 749, 1195, 3299, 2715, 277, 281, 18358, 344, 3641, 3299, 1412, 528, 1052, 3299, 1412, 344, 749, 657, 11172, 348, 994, 825, 1412, 344, 749, 657, 7055, 825, 21188, 1265, 318, 743, 657, 652, 8548, 2255, 3488, 4047, 299, 4041, 3299, 2715, 273, 281, 18358, 534, 28710, 476, 276, 281, 18358, 31435, 11172, 348, 994, 825, 1412, 4047, 17247, 302, 7055, 825, 5727, 3097, 825, 1948, 9717, 2262, 609, 2063, 1915, 6569, 543, 10736, 547, 27608, 563, 825, 2016, 29999, 815, 4894, 9078, 770, 318, 10420, 27182, 994, 825, 2016, 29999, 318, 12294, 815, 2016, 29999, 31573, 10797, 825, 1948, 590, 9285, 1592, 540, 1913, 609, 1482, 3259, 607, 602, 540, 519, 2016, 3259, 563, 825, 1913, 318, 5976, 14682, 1508, 28747, 815, 15044, 5560, 5315, 314, 6352, 27182, 13580, 2020, 825, 585, 530, 538, 1913, 318, 5976, 14682, 1508, 28747, 912, 1038, 952, 4894, 9078, 770, 318, 10420, 26028, 264, 2652, 2016, 29999, 318, 12294, 912, 2018, 952, 2262, 15631, 272, 4940, 529, 21639, 10031, 3546, 2132, 2016, 29999, 1341, 530, 15631, 272, 4940, 21639, 4590, 2018, 3116, 912, 3546, 2132, 2016, 29999, 1341, 530, 15631, 272, 6540, 454, 3698, 568, 6831, 8091, 5334, 27542, 4433, 27542, 267, 8675, 2187, 825, 5727, 263, 1598, 267, 9598, 264, 9847, 536, 944, 692, 825, 6744, 952, 519, 2016, 4845, 814, 782, 519, 1913, 838, 3881, 7157, 780, 825, 21188, 568, 6831, 8091, 5334, 27542, 3488, 2171, 4682, 547, 519, 7260, 3299, 2715, 273, 281, 18358, 933, 3299, 1412, 1729, 28710, 476, 274, 281, 18358, 1492, 28710, 476, 275, 281, 18358, 20852, 28710, 476, 276, 281, 18358, 332, 990, 773, 11172, 348, 994, 825, 6936, 454, 825, 21188, 568, 6831, 8091, 5334, 27542, 3488, 310, 342, 6603, 972, 269, 3299, 2715, 273, 281, 18358, 933, 28710, 476, 276, 281, 18358, 11004, 28710, 476, 278, 281, 18358, 516, 3737, 11172, 348, 994, 825, 8771, 454, 825, 21188, 568, 6831, 8091, 5334, 27542, 3488, 296, 1590, 2893, 256, 3299, 2715, 272, 281, 18358, 328, 28710, 476, 274, 281, 18358, 25669, 28710, 476, 275, 281, 18358, 332, 755, 11172, 348, 994, 825, 8771, 454, 825, 8173, 825, 1913, 815, 1592, 318, 6919, 4433, 27542, 994, 825, 585, 2262, 538, 1913, 912, 1038, 952, 711, 1459, 18425, 18380, 27182, 267, 8675, 2187, 2018, 2132, 8771, 454, 825, 2132, 6936, 7531, 3698, 1592, 7272, 9417, 340, 725, 4433, 27542, 2187, 825, 5727, 263, 1598, 264, 9847, 630, 4289, 540, 1592, 609, 1496, 842, 267, 1193, 20285, 825, 17776, 513, 1592, 540, 8638, 609, 1142, 1016, 4289, 2348, 513, 18685, 30415, 264, 543, 454, 825, 519, 2990, 540, 602, 18685, 538, 519, 4845, 780, 825, 634, 1592, 814, 519, 5309, 9822, 725, 538, 519, 2810, 1931, 540, 519, 4994, 267, 1775, 4318, 1421, 454, 825, 519, 3977, 1592, 568, 15044, 2687, 547, 519, 4994, 780, 825, 21188, 4688, 7272, 9417, 340, 725, 3488, 3719, 267, 519, 7260, 729, 711, 782, 602, 1390, 269, 5073, 825, 20886, 274, 267, 1412, 10086, 3910, 1496, 4391, 267, 1412, 9538, 27663, 825, 21188, 4688, 7272, 9417, 340, 725, 3488, 288, 2731, 3728, 1286, 267, 594, 1590, 2161, 256, 5073, 825, 20886, 1704, 267, 1412, 10086, 3910, 1496, 3066, 267, 1412, 256, 11172, 2639, 825, 21188, 4688, 7272, 9417, 340, 725, 3488, 257, 15916, 972, 256, 2580, 646, 1767, 269, 5073, 825, 20886, 271, 267, 1412, 257, 28710, 1496, 1321, 267, 1412, 256, 28710, 1496, 1724, 267, 1412, 257, 28710, 1496, 1691, 267, 1412, 10086, 3910, 1496, 2537, 267, 1412, 9538, 27663, 825, 8173, 825, 5309, 9822, 725, 815, 29129, 825, 585, 4994, 267, 1347, 538, 26246, 4433, 27542, 2187, 1038, 952, 1347, 538, 1412, 319, 257, 26514, 3890, 24001, 281, 16427, 318, 23511, 286, 282, 270, 315, 347, 265, 317, 258, 287, 12466, 2018, 5309, 9822, 725, 6910, 8443, 8161, 267, 1347, 20285, 825, 2132, 5309, 9822, 725, 7531, 3698, 2953, 5334, 27542, 4433, 27542, 267, 8675, 2187, 825, 5727, 263, 1598, 267, 9598, 264, 9847, 1193, 692, 825, 17776, 513, 4845, 609, 782, 519, 1913, 838, 3881, 7157, 780, 825, 21188, 2953, 5334, 27542, 3488, 310, 342, 6603, 972, 269, 3299, 2715, 273, 281, 18358, 933, 28710, 476, 276, 281, 18358, 11004, 28710, 476, 278, 281, 18358, 516, 3737, 11172, 348, 994, 825, 1412, 2171, 6603, 972, 25692, 825, 21188, 2953, 5334, 27542, 3488, 296, 1590, 2893, 256, 3299, 2715, 272, 281, 18358, 328, 28710, 476, 274, 281, 18358, 25669, 28710, 476, 275, 281, 18358, 332, 755, 11172, 348, 994, 825, 1412, 296, 1590, 2161, 256, 7055, 825, 21188, 2953, 5334, 27542, 3488, 15916, 267, 544, 600, 269, 3299, 2715, 274, 281, 18358, 2006, 28710, 476, 276, 281, 18358, 31435, 11172, 348, 994, 825, 1412, 15916, 267, 544, 600, 25692, 825, 8173, 825, 5309, 9822, 725, 815, 1592, 7272, 9417, 340, 725, 4433, 27542, 2020, 825, 1913, 815, 1592, 318, 6919, 4433, 27542, 2020, 825, 1007, 5334, 27542, 815, 15234, 692, 825, 585, 2262, 538, 1913, 912, 1038, 952, 1459, 18425, 18380, 27182, 267, 8675, 2187, 2018, 1007, 5334, 27542, 6834, 2262, 1341, 1412, 1412, 454, 1038, 3116, 912, 2018, 1007, 5334, 27542, 6834, 1265, 318, 743, 657, 652, 8548, 2255, 27182, 267, 8675, 264, 1341, 1412, 1412, 692, 825, 1948, 17179, 519, 3043, 2230, 1175, 1310, 519, 2063, 2262, 454, 825, 1007, 5334, 27542, 815, 4894, 9078, 770, 318, 10420, 28956, 5334, 27542, 2020, 825, 1948, 23453, 1394, 519, 5309, 9822, 725, 454, 825, 585, 533, 538, 5309, 9822, 725, 912, 1038, 1007, 5334, 27542, 815, 1007, 5334, 27542, 11468, 335, 314, 271, 14963, 1341, 533, 314, 272, 316, 1341, 1007, 5334, 27542, 314, 335, 314, 271, 13912, 6540, 825, 2132, 1007, 5334, 27542, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1104, 19523, 454, 825, 9598, 4067, 815, 19523, 27769, 341, 314, 272, 2639, 825, 1449, 4067, 815, 19523, 27769, 341, 314, 273, 2639, 825, 609, 1930, 5560, 1112, 4067, 267, 1412, 337, 10807, 607, 9598, 12803, 912, 1038, 1913, 815, 11713, 1038, 585, 1899, 538, 9598, 12803, 912, 2018, 1913, 269, 2169, 754, 17338, 318, 6919, 263, 1467, 4917, 825, 8675, 815, 1711, 5091, 5315, 263, 6919, 994, 825, 1449, 12803, 815, 1930, 6025, 652, 4067, 267, 1412, 337, 5073, 825, 5220, 815, 1592, 5334, 550, 1878, 6025, 652, 12803, 18667, 15405, 825, 1449, 12803, 25379, 4590, 825, 585, 4845, 538, 5220, 912, 1038, 952, 711, 568, 6831, 8091, 5334, 27542, 4433, 27542, 267, 8675, 2187, 2018, 1820, 2953, 5334, 27542, 4433, 27542, 267, 8675, 994, 0, 18411, 3721, 338, 585, 4946, 513, 1007, 4806, 912, 272, 269, 8073, 1007, 14318, 1599, 1210, 519, 10959, 454, 273, 269, 5410, 519, 1007, 14318, 1599, 547, 519, 1305, 15031, 1181, 6467, 3948, 454, 274, 269, 21561, 519, 695, 28984, 15031, 1181, 3890, 1599, 781, 28219, 842, 676, 476, 272, 454, 18257, 692, 18411, 2304, 11582, 9577, 22276, 912, 3698, 9577, 10031, 825, 2518, 14318, 454, 825, 14318, 815, 9577, 454, 825, 1948, 338, 754, 579, 31389, 5569, 454, 825, 631, 2464, 6347, 12283, 815, 834, 31262, 4840, 825, 1124, 330, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 32707, 16165, 4456, 994, 825, 1124, 330, 4732, 754, 1729, 263, 2421, 5052, 29687, 2464, 6347, 12283, 267, 834, 583, 325, 268, 279, 19823, 630, 308, 7894, 318, 7709, 267, 772, 7894, 318, 303, 18306, 4917, 18257, 692, 258, 5814, 3366, 454, 5814, 8848, 454, 5814, 14839, 454, 5814, 28416, 692, 258, 5814, 824, 454, 5814, 4778, 903, 454, 5814, 942, 454, 5814, 8142, 532, 454, 5814, 23094, 454, 5814, 4351, 7531, 19399, 23834, 15477, 3201, 966, 2752, 296, 5723, 299, 2464, 476, 19399, 2971, 7462, 454, 18431, 4537, 28984, 815, 476, 271, 454, 3333, 28984, 291, 4851, 815, 476, 1015, 269, 271, 454, 3333, 4428, 1782, 309, 815, 8771, 454, 13195, 4537, 4428, 1782, 309, 815, 8771, 454, 3333, 4428, 2401, 815, 8142, 532, 11053, 25534, 263, 272, 269, 271, 267, 1820, 994, 3333, 4428, 2401, 6155, 320, 655, 517, 815, 6936, 454, 308, 7894, 318, 7709, 815, 8848, 269, 308, 7894, 318, 7709, 454, 308, 7894, 318, 303, 18306, 815, 8848, 269, 308, 7894, 318, 303, 18306, 454, 9690, 14106, 815, 834, 4840, 9690, 21760, 815, 2715, 257, 337, 9899, 476, 14838, 267, 834, 326, 9899, 14838, 267, 834, 321, 9899, 14838, 8679, 529, 305, 7342, 815, 8771, 19638, 19399, 31266, 2207, 12164, 4629, 11862, 476, 19399, 2971, 7462, 454, 3698, 593, 10031, 825, 1820, 2891, 534, 11582, 593, 5602, 825, 14318, 10797, 3698, 1055, 10031, 825, 1820, 2891, 534, 11582, 1055, 5602, 825, 2518, 14318, 454, 825, 2518, 729, 4537, 4428, 1782, 309, 454, 825, 952, 14318, 2652, 14650, 912, 1038, 952, 695, 4428, 1782, 309, 912, 2018, 729, 4537, 4428, 1782, 309, 815, 6936, 454, 1038, 3247, 4590, 825, 8640, 14318, 2652, 1376, 4537, 28984, 15031, 1181, 912, 1038, 3247, 4537, 28984, 4590, 825, 631, 2464, 6347, 12283, 815, 834, 4752, 4840, 825, 1124, 330, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 32707, 16165, 4456, 994, 825, 1124, 330, 4732, 754, 1729, 263, 2421, 5052, 29687, 2464, 6347, 12283, 267, 834, 583, 325, 268, 279, 19823, 630, 308, 7894, 318, 7709, 267, 772, 7894, 318, 303, 18306, 11723, 692, 19399, 20793, 2839, 2207, 28132, 4629, 11862, 476, 19399, 2971, 7462, 454, 3698, 1305, 289, 2431, 1145, 263, 1962, 697, 1145, 2187, 825, 1820, 2891, 534, 11582, 6505, 5886, 5602, 825, 1820, 263, 1962, 697, 1145, 994, 825, 631, 2464, 6347, 12283, 815, 1412, 1962, 697, 1145, 15079, 8339, 8971, 263, 1962, 697, 1145, 994, 825, 1124, 330, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 32707, 16165, 4456, 994, 825, 1124, 330, 4732, 754, 1729, 263, 2421, 5052, 29687, 2464, 6347, 12283, 267, 834, 583, 325, 268, 279, 19823, 630, 308, 7894, 318, 7709, 267, 772, 7894, 318, 303, 18306, 11723, 3698, 1305, 11854, 539, 4433, 32497, 2187, 825, 1820, 2891, 534, 11582, 17726, 5602, 825, 1820, 4433, 32497, 994, 825, 3432, 24961, 815, 2715, 272, 281, 1428, 267, 476, 273, 281, 1789, 267, 476, 274, 281, 2568, 267, 476, 275, 281, 6344, 267, 476, 276, 281, 13301, 267, 476, 277, 281, 21878, 8679, 825, 631, 2464, 6347, 12283, 815, 1412, 14588, 539, 15079, 8339, 8971, 4433, 32497, 24961, 314, 14588, 539, 7481, 825, 1124, 330, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 32707, 16165, 4456, 994, 825, 1124, 330, 4732, 754, 1729, 263, 2421, 5052, 29687, 2464, 6347, 12283, 267, 834, 583, 325, 268, 279, 19823, 630, 308, 7894, 318, 7709, 267, 772, 7894, 318, 303, 18306, 11723, 692, 19399, 623, 2969, 9898, 301, 4888, 296, 7246, 16739, 476, 19399, 2971, 7462, 454, 3698, 1305, 15031, 1181, 263, 6312, 1181, 2187, 825, 4806, 21803, 815, 834, 4840, 825, 952, 14318, 2652, 14650, 912, 1038, 3247, 4590, 825, 952, 4806, 2652, 476, 271, 912, 1038, 4806, 21803, 815, 834, 4537, 28984, 4840, 1038, 1376, 4537, 28984, 15031, 1181, 4590, 825, 8640, 4806, 2652, 476, 272, 912, 1038, 4806, 21803, 815, 834, 14503, 1662, 4840, 1038, 8755, 4590, 825, 8640, 4806, 2652, 476, 273, 912, 1038, 4806, 21803, 815, 834, 293, 1228, 4840, 1038, 28201, 4590, 825, 8640, 4806, 2652, 476, 274, 912, 1038, 4806, 21803, 815, 834, 305, 664, 11312, 4840, 1038, 22774, 4590, 825, 8640, 4806, 2652, 476, 275, 912, 1038, 4806, 21803, 815, 834, 305, 664, 11312, 2060, 3794, 7867, 4840, 1038, 22774, 4415, 10908, 7867, 4590, 825, 8640, 4806, 2652, 476, 276, 912, 1038, 4806, 21803, 815, 834, 290, 14125, 4840, 1038, 8927, 517, 4590, 825, 8640, 4806, 2652, 476, 277, 912, 1038, 4806, 21803, 815, 834, 306, 514, 601, 517, 4840, 1038, 5609, 601, 517, 4590, 825, 8640, 4806, 2652, 476, 278, 912, 1038, 4806, 21803, 815, 834, 18183, 31899, 4840, 1038, 1476, 31899, 4590, 825, 8640, 4806, 2652, 476, 279, 912, 1038, 4806, 21803, 815, 834, 289, 15014, 4840, 1038, 536, 10975, 4590, 825, 8640, 4806, 2652, 476, 280, 912, 1038, 4806, 21803, 815, 834, 297, 10212, 548, 4840, 1038, 5104, 24327, 4590, 825, 3116, 912, 1038, 4806, 21803, 815, 834, 13286, 3502, 513, 23694 ]

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

[ 968, 31078, 940, 689, 519, 8419, 7345, 538, 519, 5045, 547, 519, 11908, 543, 17665, 10665, 5608, 8776, 328, 700, 5407, 267, 5883, 8689, 585, 14223, 1895, 11202, 540, 519, 23202, 615, 267, 1767, 563, 9515, 3773, 281, 968, 288, 4448, 23725, 528, 786, 948, 6705, 543, 678, 4545, 1667, 267, 786, 6536, 9235, 543, 9205, 18883, 267, 543, 948, 2149, 938, 4105, 2067, 2200, 899, 938, 20950, 543, 938, 7320, 267, 1519, 519, 8419, 20562, 615, 3034, 6097, 547, 519, 2475, 12551, 543, 13812, 6796, 267, 519, 8419, 20562, 615, 568, 968, 1492, 1152, 1634, 9960, 2551, 540, 533, 6373, 538, 519, 9456, 2136, 2276, 9731, 1103, 1931, 547, 581, 3144, 1055, 519, 8594, 1592, 267, 519, 8419, 20562, 615, 2115, 1614, 3964, 5095, 543, 6190, 7226, 547, 1489, 1346, 2831, 563, 2108, 299, 1343, 3874, 14479, 568, 1898, 585, 2647, 8573, 4474, 2249, 899, 519, 8419, 3109, 7703, 543, 519, 20562, 615, 2223, 700, 5407, 1767, 267, 4946, 281, 968, 1103, 519, 2013, 540, 519, 8419, 20562, 615, 267, 596, 723, 513, 2462, 3032, 1818, 513, 6051, 538, 513, 942, 1141, 2462, 7314, 1472, 519, 1158, 616, 2731, 538, 7771, 269, 634, 8419, 13812, 4856, 5090, 528, 2337, 2327, 519, 7226, 568, 6870, 585, 519, 2249, 538, 10419, 8462, 3034, 3719, 4220, 2611, 269, 634, 3056, 2014, 540, 2669, 585, 8419, 20562, 1667, 568, 4867, 3991, 7781, 16580, 267, 543, 700, 5407, 3081, 519, 2034, 3056, 2014, 540, 2669, 568, 16857, 15539, 609, 824, 20562, 1667, 267, 28978, 676, 3668, 540, 7226, 563, 8448, 2831, 602, 4966, 3589, 1131, 4324, 689, 9450, 7320, 23725, 832, 1331, 519, 6206, 13650, 267, 519, 8419, 812, 622, 324, 543, 2845, 3455, 3650, 4262, 16015, 563, 6097, 547, 519, 1875, 17416, 3919, 8419, 13812, 4856, 5090, 528, 267, 519, 8574, 3118, 1131, 7854, 5176, 476, 1704, 332, 14143, 269, 6168, 476, 1015, 332, 14143, 616, 2907, 6870, 267, 1247, 1776, 476, 277, 269, 280, 332, 540, 796, 31695, 14143, 616, 1500, 909, 540, 2324, 11396, 543, 10443, 2583, 269, 1656, 476, 4200, 273, 3957, 8933, 543, 12535, 3444, 519, 1858, 267, 799, 849, 2882, 476, 276, 267, 10204, 5195, 540, 18162, 563, 763, 8419, 13812, 4856, 5090, 528, 2920, 5293, 609, 513, 476, 12893, 268, 271, 8917, 538, 519, 8419, 1533, 2777, 543, 609, 513, 476, 2412, 268, 271, 8917, 538, 519, 1533, 6845, 622, 3735, 2063, 3923, 563, 25187, 16234, 20366, 547, 28286, 1269, 1911, 332, 547, 8419, 5983, 591, 267, 519, 1533, 779, 5726, 543, 18883, 3338, 11601, 1982, 267, 543, 8815, 547, 2322, 1269, 4968, 332, 689, 5313, 17003, 7616, 2509, 5726, 563, 299, 5407, 3081, 1352, 568, 23904, 519, 17294, 786, 1129, 519, 9086, 267, 15663, 602, 519, 957, 568, 519, 1267, 540, 519, 968, 13905, 540, 7366, 540, 1004, 892, 936, 513, 1297, 540, 1296, 267, 1519, 5159, 267, 5726, 1235, 267, 6705, 267, 13278, 2006, 267, 4786, 16234, 543, 3744, 563, 1103, 5988, 267, 519, 27924, 12551, 543, 10794, 8189, 630, 2839, 293, 294, 264, 9307, 513, 11556, 547, 8831, 519, 4005, 585, 18896, 10122, 543, 29212, 2066, 519, 1533, 593, 1857, 543, 4357, 2244, 269, 634, 594, 5263, 294, 6035, 513, 2698, 540, 5722, 10122, 18747, 543, 5216, 29212, 18747, 563, 1103, 2489, 267, 519, 18747, 2832, 547, 8831, 782, 10122, 543, 29212, 3255, 267, 1519, 547, 912, 2704, 869, 1032, 15778, 18896, 29212, 593, 4357, 2244, 454, 15307, 28344, 513, 476, 1321, 18881, 18896, 10122, 4005, 1533, 4204, 454, 2704, 869, 946, 540, 2879, 4100, 538, 930, 10122, 4559, 267, 1519, 519, 10122, 4559, 602, 8473, 31803, 2817, 5244, 454, 2704, 869, 29212, 593, 1857, 3338, 538, 27623, 543, 7013, 27924, 454, 2839, 293, 294, 568, 16561, 1857, 6085, 593, 519, 18747, 998, 5988, 476, 1839, 267, 476, 1708, 272, 269, 898, 1152, 3217, 513, 1906, 3764, 547, 6085, 543, 707, 3646, 786, 723, 513, 7096, 1764, 593, 27924, 20384, 563, 1692, 547, 19410, 454, 18800, 891, 5528, 543, 1287, 4945, 519, 7735, 547, 6085, 563, 15152, 519, 4544, 7333, 1676, 1160, 1842, 1023, 543, 19410, 11270, 267, 4945, 593, 519, 4544, 25873, 782, 1160, 1842, 1023, 7735, 563, 1103, 519, 19410, 19662, 3296, 267, 896, 15661, 267, 2824, 22630, 16423, 689, 519, 6749, 1524, 1592, 543, 4945, 519, 4544, 15233, 7735, 563, 12812, 519, 4544, 5623, 543, 19410, 7735, 538, 519, 1101, 4737, 563, 9928, 2651, 1524, 547, 519, 4544, 1160, 27760, 7333, 1676, 563, 15675, 594, 798, 711, 1489, 713, 11556, 585, 782, 18747, 563, 11767, 22227, 267, 952, 5551, 269, 630, 4467, 906, 616, 18593, 8094, 11767, 707, 2012, 267, 4757, 543, 2749, 563, 12812, 519, 4544, 4427, 2466, 7735, 563, 5475, 14467, 4427, 2466, 267, 596, 786, 581, 2699, 20526, 547, 519, 1292, 18747, 2985, 269, 19244, 3268, 476, 272, 1107, 476, 279, 585, 519, 6967, 18747, 269, 4467, 618, 3767, 454, 3725, 3517, 547, 11534, 846, 16423, 15391, 532, 543, 3004, 6137, 454, 27409, 2130, 568, 513, 18642, 267, 2895, 24191, 267, 543, 12475, 24854, 1505, 540, 11318, 2831, 563, 7212, 2879, 4100, 616, 5497, 547, 6146, 519, 2831, 3533, 267, 2899, 2879, 1563, 1472, 519, 8405, 267, 20384, 666, 1869, 2661, 585, 909, 547, 1079, 2395, 267, 543, 538, 930, 2665, 3564, 269, 590, 3534, 637, 798, 711, 723, 519, 2702, 547, 3533, 11904, 20384, 17499, 269, 10815, 982, 476, 2004, 260, 540, 666, 1749, 630, 342, 11510, 543, 31352, 4925, 264, 9676, 676, 519, 8405, 538, 11318, 8405, 2879, 4100, 6336, 9637, 1369, 2947, 3764, 282, 2669, 949, 2097, 1310, 3108, 610, 2395, 267, 4470, 593, 519, 11318, 12117, 540, 519, 2879, 732, 543, 519, 4908, 540, 11564, 676, 911, 13827, 269, 630, 303, 709, 331, 343, 717, 1421, 14339, 339, 6390, 667, 269, 476, 1001, 280, 994, 4462, 762, 547, 1863, 2933, 267, 519, 1100, 846, 7444, 11912, 1055, 1973, 10009, 689, 18896, 779, 2212, 547, 741, 2295, 282, 29285, 267, 519, 25558, 573, 16050, 8952, 23028, 1973, 883, 519, 2634, 269, 3973, 519, 2634, 2220, 20635, 909, 2394, 519, 18896, 779, 2212, 1011, 3941, 269, 3004, 13827, 3277, 891, 22224, 9843, 607, 968, 329, 11481, 9843, 3034, 2252, 513, 18896, 1965, 7870, 267, 789, 2461, 1869, 609, 519, 2879, 732, 1472, 741, 8405, 269, 2353, 519, 1247, 267, 519, 2879, 732, 8952, 7444, 9395, 2287, 267, 2324, 922, 1259, 998, 519, 12404, 543, 519, 17145, 540, 519, 18896, 563, 9199, 1186, 616, 967, 4593, 3234, 3729, 267, 11318, 1082, 1875, 2389, 13759, 2831, 538, 1840, 547, 20384, 563, 9199, 1186, 616, 967, 4593, 3234, 3729, 267, 13830, 1346, 711, 5497, 585, 519, 15972, 267, 1519, 13155, 2831, 267, 10130, 543, 1004, 267, 543, 666, 4734, 8628, 2168, 3441, 547, 4376, 602, 4991, 9575, 269, 12292, 7985, 1928, 267, 8194, 543, 2566, 950, 4371, 676, 20637, 267, 543, 1799, 984, 28895, 2831, 666, 1995, 18024, 267, 14000, 267, 11784, 14001, 1582, 2173, 583, 7976, 267, 4598, 547, 4365, 543, 32456, 267, 782, 540, 799, 13822, 3662, 28877, 563, 310, 11510, 798, 711, 723, 513, 2942, 1764, 593, 27924, 779, 1714, 330, 2551, 563, 2839, 293, 294, 2829, 789, 616, 9750, 18896, 10122, 543, 29212, 12405, 538, 2127, 1141, 968, 601, 330, 5095, 616, 896, 6662, 892, 855, 519, 1533, 779, 1714, 330, 2551, 568, 693, 2282, 24406, 752, 2157, 269, 634, 1699, 2551, 7447, 538, 27924, 568, 811, 982, 476, 6344, 267, 1822, 1714, 330, 267, 1175, 476, 275, 260, 2630, 519, 782, 6066, 5207, 1293, 540, 476, 10219, 267, 1822, 269, 769, 476, 1960, 276, 267, 519, 1482, 1032, 20384, 941, 32543, 22004, 547, 27924, 267, 519, 1714, 330, 2551, 729, 6059, 547, 581, 476, 12208, 267, 18357, 563, 298, 3739, 20384, 5012, 2047, 547, 811, 13184, 22975, 676, 519, 16701, 1709, 540, 18896, 1920, 2516, 563, 2839, 293, 294, 6811, 9450, 10122, 12405, 616, 2556, 547, 968, 516, 706, 576, 13184, 1244, 1042, 725, 892, 855, 713, 814, 1044, 1201, 3176, 676, 3875, 9263, 24595, 2090, 269, 12824, 693, 6115, 3557, 2160, 1336, 602, 585, 1169, 18896, 7166, 538, 27924, 267, 23497, 543, 29131, 936, 519, 2250, 476, 1839, 1296, 267, 972, 729, 513, 476, 276, 2600, 2333, 538, 519, 13265, 543, 12418, 7166, 519, 1985, 1032, 269, 918, 3739, 20384, 3123, 1920, 2516, 630, 335, 2931, 264, 547, 23650, 267, 1419, 4611, 538, 519, 13389, 540, 4443, 10352, 630, 3256, 4382, 13184, 264, 2864, 982, 811, 4101, 10352, 630, 333, 894, 796, 326, 12885, 1916, 288, 1353, 676, 3173, 693, 519, 2160, 540, 16855, 5336, 611, 2581, 2982, 602, 2229, 11318, 540, 20384, 666, 2333, 519, 1981, 547, 7404, 11396, 267, 3246, 2417, 2963, 585, 519, 13546, 977, 4369, 540, 519, 865, 10777, 968, 548, 11209, 1852, 892, 3609, 1935, 563, 27306, 22840, 779, 3778, 540, 16423, 5004, 454, 7712, 5313, 20038, 585, 27924, 20384, 941, 24850, 538, 476, 1001, 272, 267, 519, 1533, 814, 1500, 2312, 922, 15752, 547, 968, 2006, 720, 892, 20384, 609, 513, 5230, 1688, 269, 3502, 1152, 1281, 519, 26155, 3557, 7254, 794, 7347, 512, 15577, 18896, 10122, 270, 10177, 6137, 12405, 267, 621, 849, 3964, 513, 1533, 968, 310, 6504, 3493, 1042, 566, 6513, 8274, 892, 593, 799, 27924, 23348, 1269, 6110, 267, 1822, 12422, 547, 608, 32558, 622, 20384, 267, 1419, 676, 19666, 575, 7342, 267, 543, 1256, 538, 19069, 2127, 563, 763, 15231, 2829, 540, 23497, 543, 29131, 5702, 11604, 27924, 779, 2126, 540, 20384, 269, 23497, 12551, 267, 13812, 543, 20088, 568, 3981, 532, 547, 8831, 519, 18896, 10122, 543, 29212, 12405, 538, 32720, 23497, 269, 1403, 519, 18747, 616, 9516, 676, 519, 12551, 543, 13812, 8189, 267, 789, 1131, 912, 1700, 30771, 519, 29212, 4005, 547, 2253, 519, 11728, 1310, 21175, 543, 1439, 4728, 476, 1428, 1107, 14190, 911, 13827, 547, 2879, 732, 20384, 454, 1103, 29131, 267, 18896, 10122, 568, 3656, 476, 18458, 2395, 513, 1032, 2066, 476, 5952, 260, 540, 519, 1533, 267, 1141, 20384, 616, 9286, 607, 9496, 6823, 1606, 697, 2357, 2381, 269, 717, 12584, 267, 2879, 4100, 267, 14885, 1161, 267, 18114, 267, 543, 6777, 332, 24213, 1107, 3592, 1022, 1106, 540, 5208, 568, 4847, 547, 6146, 20384, 1107, 1256, 11299, 609, 1762, 4996, 1186, 563, 1320, 748, 1343, 540, 20384, 723, 1044, 7166, 585, 512, 15577, 538, 27924, 267, 23497, 267, 543, 29131, 2094, 476, 1001, 272, 269, 634, 4639, 949, 581, 3552, 267, 855, 922, 7320, 4507, 616, 15319, 569, 15877, 563, 289, 745, 3250, 320, 3968, 267, 610, 20015, 3250, 2670, 267, 729, 2899, 513, 2603, 811, 1455, 269, 3509, 2831, 538, 519, 3552, 666, 4163, 891, 4551, 267, 607, 666, 13184, 269, 769, 930, 2477, 267, 513, 1455, 2012, 585, 519, 2068, 729, 968, 2998, 520, 8611, 892, 1765, 14683, 2775, 532, 513, 1360, 1455, 10835, 543, 3662, 2707, 269, 4033, 1455, 4191, 540, 3968, 1331, 24852, 267, 9854, 267, 543, 2597, 2530, 269, 2859, 10355, 267, 519, 4551, 666, 28117, 519, 8401, 1062, 267, 4929, 3978, 6553, 538, 519, 2634, 543, 14715, 2589, 899, 4049, 14331, 267, 23069, 267, 543, 2242, 538, 2623, 563, 7712, 519, 2038, 476, 736, 628, 2540, 267, 1498, 267, 3646, 547, 16826, 856, 20015, 3250, 2670, 723, 1044, 7361, 3811, 269, 1703, 779, 606, 2139, 6669, 585, 13184, 267, 1247, 2477, 899, 519, 772, 2529, 269, 22991, 1449, 585, 25362, 3250, 320, 538, 16933, 269, 634, 1184, 540, 13594, 584, 1436, 267, 799, 4991, 7759, 540, 1082, 2068, 27351, 6748, 4551, 538, 10683, 2472, 267, 814, 2417, 22485, 519, 1981, 540, 4598, 269, 1452, 2395, 267, 538, 1249, 267, 519, 1906, 2665, 540, 20015, 3250, 2670, 538, 519, 772, 2529, 269, 4080, 12422, 616, 2356, 13615, 547, 1004, 10438, 6151, 267, 10002, 4292, 28962, 5144, 610, 10381, 269, 1809, 713, 1007, 2013, 1353, 267, 3370, 538, 22720, 297, 8865, 18614, 713, 3923, 267, 5267, 602, 10122, 949, 581, 1776, 2707, 540, 3968, 585, 3425, 563, 6097, 547, 519, 1867, 267, 519, 812, 1185, 1044, 7231, 609, 8611, 267, 15677, 267, 543, 824, 20060, 24594, 2589, 7133, 1585, 2694, 540, 1010, 1560, 585, 476, 1556, 3275, 676, 519, 942, 646, 4718, 7189, 693, 519, 25832, 18669, 538, 12722, 6807, 267, 8419, 269, 9717, 1010, 4080, 2648, 540, 10122, 535, 1968, 14918, 30867, 7769, 602, 4163, 741, 1378, 2249, 540, 25362, 3250, 320, 4551, 9789, 7189, 16143, 543, 9672, 602, 646, 1185, 5778, 321, 745, 3250, 2670, 269, 1261, 729, 1287, 2016, 606, 3573, 1576, 540, 11216, 30375 ]

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

[ 3476, 4309, 1022, 7943, 269, 6124, 4944, 3639, 4043, 547, 2736, 1524, 23182, 936, 942, 547, 1831, 851, 540, 519, 11003, 269, 2791, 666, 3382, 519, 14786, 609, 22890, 4494, 1318, 593, 1283, 865, 602, 621, 5654, 811, 10694, 563, 2691, 596, 616, 3395, 19155, 538, 707, 5214, 4677, 267, 2119, 21066, 4620, 1154, 707, 19155, 2443, 2901, 609, 519, 13869, 540, 707, 1688, 610, 1945, 899, 513, 6656, 540, 21312, 2443, 2899, 610, 7466, 1142, 1554, 269, 898, 4992, 20868, 267, 855, 972, 568, 2965, 8810, 1382, 602, 2982, 713, 2337, 519, 2371, 1332, 563, 4407, 12202, 1418, 1227, 3340, 811, 960, 982, 12202, 609, 519, 948, 540, 6464, 267, 621, 568, 8902, 543, 811, 11815, 4328, 982, 2834, 12202, 269, 2755, 6464, 2709, 606, 2653, 3070, 547, 1082, 1455, 12202, 2042, 267, 3395, 1418, 1227, 568, 513, 1390, 8007, 547, 627, 727, 591, 22655, 707, 3132, 563, 3849, 3286, 707, 14450, 2687, 547, 4005, 543, 2916, 269, 1280, 1383, 267, 952, 707, 2916, 568, 18519, 543, 3636, 267, 18519, 2916, 14450, 519, 3762, 666, 2014, 6978, 17343, 563, 3080, 3364, 602, 568, 5214, 568, 602, 5010, 13851, 616, 711, 1031, 269, 2755, 713, 568, 1390, 267, 596, 786, 1869, 991, 547, 2638, 5702, 585, 12961, 610, 17494, 563, 3528, 11544, 1919, 909, 543, 9544, 538, 1585, 9634, 267, 596, 616, 4227, 519, 8458, 540, 14124, 707, 2371, 563, 10932, 27386, 5521, 15969, 799, 666, 581, 3730, 538, 678, 27570, 707, 4677, 540, 10860, 269, 7849, 5521, 15969, 666, 3006, 6146, 10860, 811, 3532, 982, 10991, 13851, 269, 1717, 267, 27386, 5521, 15969, 949, 711, 2063, 607, 1279, 1317, 540, 741, 6211, 1118, 5725, 267, 27386, 5521, 15969, 1419, 723, 1360, 3728, 9178, 5712, 543, 14897, 6385, 563, 2252, 596, 2030, 14274, 267, 2119, 9544, 513, 1007, 1305, 540, 14274, 4010, 1614, 4374, 1310, 596, 2030, 519, 1101, 16801, 269, 901, 2306, 2386, 602, 596, 616, 711, 538, 1495, 730, 609, 513, 11931, 3761, 547, 14274, 543, 2569, 606, 936, 629, 1495, 766, 693, 1022, 2016, 942, 563, 288, 4677, 666, 581, 6738, 676, 4896, 267, 855, 538, 1931, 547, 723, 513, 4677, 602, 7472, 519, 1655, 7031, 267, 1697, 12202, 1702, 568, 2877, 269, 2422, 519, 5214, 4388, 538, 713, 2376, 269, 0, 29919, 4641, 630, 23623, 264, 568, 513, 6385, 3395, 2029, 602, 568, 30507, 519, 1259, 1004, 2170, 609, 1142, 824, 269, 15283, 568, 513, 2780, 24378, 1604, 602, 2636, 3755, 547, 1995, 513, 20533, 1158, 269, 898, 568, 4742, 5051, 2442, 607, 513, 1259, 547, 1921, 609, 1866, 538, 513, 811, 15138, 543, 7317, 1259, 563, 23623, 2029, 814, 1044, 1472, 585, 5756, 267, 855, 621, 814, 1152, 5063, 1831, 3015, 547, 519, 2489, 1857, 269, 2060, 519, 948, 540, 9843, 1115, 267, 3755, 666, 4283, 513, 5691, 1158, 543, 2170, 609, 1866, 538, 513, 811, 10853, 1259, 269, 901, 2029, 814, 1044, 1031, 538, 11080, 267, 2069, 267, 543, 1256, 3797, 563, 23623, 814, 519, 1761, 547, 22499, 519, 1259, 1004, 5968, 609, 1142, 824, 269, 898, 2636, 3755, 547, 2170, 609, 1142, 824, 538, 513, 811, 2067, 1259, 267, 607, 952, 789, 941, 538, 519, 1482, 4055, 269, 901, 666, 581, 2523, 6225, 585, 1346, 945, 616, 8572, 547, 2743, 538, 1268, 1813, 547, 3845, 610, 824, 2188, 563, 23623, 849, 814, 519, 1761, 547, 1711, 811, 6209, 4296, 1063, 1004, 269, 1635, 3850, 3755, 547, 1995, 513, 20533, 1158, 267, 789, 666, 2263, 543, 2170, 609, 1142, 824, 538, 513, 811, 6209, 1259, 269, 901, 666, 1291, 547, 4514, 7391, 543, 811, 6209, 3347, 563, 23623, 568, 849, 1373, 1031, 547, 1711, 811, 15138, 2833, 269, 1280, 1383, 267, 930, 3549, 616, 1210, 15283, 547, 1711, 5691, 19150, 540, 741, 2472, 610, 2533, 269, 901, 2636, 5561, 547, 1205, 513, 1732, 1620, 540, 1018, 789, 616, 9140, 1354, 789, 1118, 513, 6718, 563, 7661, 267, 15283, 568, 1373, 1031, 547, 1711, 811, 2502, 2833, 269, 14992, 616, 1210, 15283, 547, 1711, 5691, 2621, 267, 971, 607, 30145, 610, 5026, 3756, 269, 901, 2636, 3755, 547, 1995, 2621, 538, 513, 811, 10853, 1259, 267, 607, 952, 789, 941, 2965, 972, 563, 14454, 267, 15283, 568, 513, 6385, 3395, 2029, 602, 568, 30507, 519, 1259, 1004, 2170, 609, 1142, 824, 269, 898, 814, 519, 1761, 547, 1711, 811, 6209, 4296, 1063, 1004, 267, 1711, 811, 15138, 2833, 267, 543, 1711, 811, 2502, 2833, 269, 1306, 15283, 2029, 5170, 547, 11457, 267, 621, 786, 1831, 606, 1256, 811, 3532, 1907, 585, 8220, 609, 1866, 269, 0, 1432, 798, 3347, 1063, 1349, 762, 8407, 543, 3037, 5214, 3327, 9830, 1611, 888, 15100, 476, 1708, 272, 634, 22439, 269, 14606, 3163, 5980, 540, 3013, 4750, 9736, 476, 1708, 272, 14606, 3163, 5980, 540, 3013, 454, 3674, 19405, 2986, 454, 292, 19223, 267, 12472, 543, 5029, 1143, 531, 10334, 454, 2704, 26891, 630, 2704, 9984, 543, 4401, 630, 8722, 9984, 321, 8960, 6886, 267, 2523, 2110, 24365, 268, 23912, 630, 306, 4629, 264, 11775, 267, 616, 2219, 547, 2149, 3037, 5214, 3327, 630, 306, 8016, 1040, 1717, 267, 621, 3788, 1505, 10999, 4101, 547, 2708, 519, 3310, 540, 1325, 5288, 269, 3171, 6886, 610, 4496, 23838, 269, 24641, 590, 4629, 1325, 543, 3171, 11775, 2671, 930, 3601, 267, 1325, 15702, 676, 3404, 531, 622, 630, 2704, 2135, 264, 1419, 31426, 6793, 609, 590, 8016, 982, 3171, 15702, 676, 3404, 531, 622, 630, 8722, 2135, 264, 610, 3632, 3603, 603, 542, 924, 630, 293, 21967, 1040, 1677, 2417, 6218, 891, 3347, 267, 649, 9916, 513, 1804, 3345, 1977, 3037, 10471, 689, 519, 2817, 26954, 25076, 8416, 630, 20911, 2177, 1040, 589, 2178, 2078, 1063, 1325, 2135, 543, 590, 8016, 630, 663, 21260, 3171, 2135, 4149, 8016, 2078, 264, 30174, 1256, 1310, 27195, 11934, 3638, 538, 590, 4629, 6886, 630, 4517, 529, 11169, 543, 1975, 617, 657, 11169, 1040, 1325, 2135, 729, 9244, 17047, 609, 3632, 3433, 1673, 603, 542, 924, 1349, 762, 1325, 630, 2704, 7251, 282, 9386, 284, 271, 269, 10844, 267, 681, 273, 284, 271, 269, 7597, 1070, 543, 27753, 1223, 581, 6045, 630, 305, 273, 284, 271, 269, 9262, 264, 676, 3152, 27072, 540, 1325, 28175, 560, 21114, 3171, 11775, 676, 3632, 3433, 1673, 603, 542, 924, 267, 543, 3152, 27072, 540, 10186, 657, 32281, 919, 676, 3404, 531, 622, 269, 1325, 2135, 543, 1325, 7251, 941, 1312, 2178, 590, 8016, 30661, 5103, 741, 18312, 3347, 609, 13339, 630, 31333, 1040, 1325, 2135, 543, 590, 8610, 9244, 23656, 539, 630, 305, 273, 284, 271, 269, 8064, 1070, 855, 1325, 7251, 729, 24081, 1836, 1644, 547, 24558, 323, 630, 305, 273, 284, 271, 269, 1240, 1040, 5381, 3347, 540, 1325, 2135, 543, 1325, 7251, 609, 590, 8016, 5103, 3604, 538, 6886, 13939, 676, 3404, 531, 622, 543, 3632, 3433, 1673, 603, 542, 924, 2303, 602, 1325, 268, 8016, 23838, 32737, 10353, 547, 10186, 657, 559, 6510, 610, 4401, 321, 8960, 6886, 1765, 26200, 519, 1655, 590, 8016, 27667, 269, 901, 12651, 1271, 2055, 281, 798, 1325, 268, 8016, 23838, 5815, 4027, 689, 17883, 610, 3274, 2992, 3152, 8515, 540, 7777, 29056, 676, 5214, 7408, 267, 543, 952, 519, 8545, 267, 1287, 5310, 590, 8016, 3403, 568, 6117, 1325, 2135, 543, 590, 8016, 21374, 2864, 982, 1325, 5123, 5888, 610, 11606, 563, 1607, 568, 519, 9263, 12649, 4528, 540, 519, 1739, 2376, 281, 8065, 267, 24697, 808, 1421, 543, 26826, 16399, 269, 834, 1432, 798, 3347, 1063, 1349, 762, 8407, 543, 3037, 5214, 3327, 9830, 1611, 286, 1701, 14606, 3163, 5980, 540, 3013, 4750, 269, 630, 1708, 272, 1070, 799, 814, 1044, 3370, 538, 3803, 1106, 693, 20396, 281, 1015, 269, 1911, 273, 4882, 1690, 273, 269, 10711, 6246, 269, 901, 2376, 949, 581, 1031, 585, 1875, 10687, 14293, 5301, 538, 13076, 609, 25067, 16301, 543, 17148, 585, 2422, 540, 8682, 5025, 337, 577, 1882, 12411, 687, 269, 901, 2376, 949, 711, 581, 8476, 267, 23353, 610, 6382, 9927, 883, 513, 12045, 960, 267, 1510, 2769, 10479, 689, 25067, 610, 676, 27152, 2924, 896, 10858, 9086, 269, 14645, 711, 1182, 1590, 711, 581, 6569, 267, 25848, 3293, 610, 9168, 269, 634, 2376, 1590, 581, 5532, 547, 25067, 779, 4528, 540, 2594, 593, 25067, 6732, 7732, 543, 1022, 32750, 267, 25194, 610, 6382, 1818, 2139, 519, 2376, 610, 3817, 23476, 676, 3791, 6105, 689, 5867, 267, 2533, 543, 7270, 824, 982, 25067, 6732, 7732, 1590, 581, 19275, 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 ]

[ 546, 11459, 322, 2675, 3287, 264, 815, 910, 20799, 3287, 264, 322, 2675, 3287, 994, 13981, 2979, 814, 2760, 1044, 4443, 563, 7476, 19957, 1569, 547, 811, 982, 476, 15757, 10531, 4245, 543, 476, 10170, 7317, 26732, 563, 1911, 260, 1981, 1863, 269, 595, 30327, 20471, 563, 9928, 2651, 547, 5440 ]

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

[ 23063, 6672, 1923, 4934, 2492, 11406, 347, 19203, 347, 19203, 2008, 347, 670, 4575, 1035, 27163, 1282, 5162, 1923, 6936, 11406, 347, 2398, 21403, 824, 2831, 693, 6105, 1923, 8771, 11406, 347, 8490, 6946, 24181, 1923, 6936, 11406, 347, 932, 2084, 1310, 21743, 3615, 1923, 8771, 1923, 692, 16269, 4121, 602, 1412, 12148, 262, 6719, 10995, 543, 7229, 7592, 1247, 1412, 16178, 262, 1129, 1881, 19450, 543, 20437, 3527, 269, 1677, 948, 4137, 856, 27388, 781, 1985, 1847, 267, 789, 18705, 513, 15931, 14069, 13214, 1927, 1384, 257, 10345, 22268, 1915, 18386, 10177, 527, 20978, 27388, 18040, 16730, 23063, 6672, 815, 1412, 283, 2908, 18386, 338, 527, 6672, 285, 262, 5016, 2026, 789, 4797, 19234, 609, 1114, 7653, 267, 1945, 6397, 5949, 910, 27388, 9575, 2842, 540, 741, 1544, 543, 1404, 2685, 12012, 1010, 1378, 2623, 267, 6028, 22123, 543, 15207, 7138, 1194, 269, 4014, 789, 4769, 1405, 1205, 519, 5551, 2164, 267, 789, 7691, 602, 1620, 543, 9027, 908, 1866, 262, 3527, 3884, 1405, 2141, 2653, 267, 2523, 950, 7231, 609, 20437, 2043, 269, 1809, 7488, 267, 741, 7045, 6026, 873, 3407, 4245, 827, 2257, 267, 11505, 267, 543, 519, 2956, 540, 6998, 2219, 4538, 2055, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 11693, 513, 14069, 6538, 609, 513, 3349, 3957, 834, 309, 19921, 2580, 5627, 513, 1630, 18978, 6241, 3957, 834, 30726, 4671, 11681, 2580, 1141, 3020, 4564, 606, 10995, 543, 7229, 16023, 267, 543, 7301, 4564, 606, 19450, 543, 20437, 16023, 269, 4635, 519, 3177, 3871, 543, 4093, 607, 1239, 267, 1018, 13214, 666, 581, 1031, 547, 3589, 27388, 781, 2623, 538, 513, 1007, 3510, 286, 1215, 666, 7954, 543, 17429, 794, 581, 4294, 547, 3313, 519, 2953, 1630, 18978, 1871, 585, 27388, 781, 1915, 16023, 286, 6153, 9939, 2336, 2414, 3589, 27388, 781, 2623, 538, 513, 1007, 3510, 1210, 519, 3177, 1239, 267, 649, 666, 946, 14069, 14511, 547, 5659, 519, 4093, 540, 3105, 3871, 543, 3313, 2436, 27388, 17820, 10995, 543, 7229, 2623, 610, 19450, 543, 20437, 2623, 269, 3097, 2690, 1383, 267, 1577, 781, 2161, 649, 723, 519, 1739, 1239, 912, 347, 23063, 6672, 1923, 4934, 2492, 11406, 347, 1366, 19203, 347, 1366, 268, 2008, 347, 589, 1363, 1923, 6936, 825, 11406, 347, 645, 1363, 1923, 8771, 567, 11406, 347, 595, 1363, 1923, 6936, 825, 11406, 347, 667, 1363, 1923, 8771, 567, 11406, 2414, 3313, 27388, 781, 1915, 16023, 585, 513, 1007, 3510, 267, 649, 666, 946, 519, 1739, 13214, 912, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 634, 22547, 540, 4201, 1993, 2109, 538, 476, 2641, 560, 31588, 1722, 3943, 9085, 692, 8505, 1993, 2109, 267, 513, 5339, 9135, 602, 24025, 26249, 543, 5708, 267, 814, 4810, 1713, 2208, 538, 476, 2641, 560, 10601, 3943, 3332, 269, 634, 2165, 729, 22579, 676, 5395, 613, 8935, 15842, 341, 20391, 538, 1010, 3209, 674, 2812, 630, 3192, 278, 1070, 16287, 519, 4098, 540, 513, 5951, 540, 5830, 945, 1131, 946, 741, 1378, 2729, 607, 6151, 1570, 585, 741, 14070, 1568, 269, 1809, 1018, 2306, 1313, 1993, 2109, 865, 13267, 538, 4207, 3943, 3332, 286, 1656, 875, 1281, 621, 2992, 6626, 2686, 10593, 2921, 1747, 538, 2486, 286, 2913, 781, 2263, 891, 2055, 998, 519, 7828, 540, 519, 8574, 3177, 780, 4263, 922, 4295, 267, 1313, 1993, 2109, 11394, 547, 4161, 2757, 6302, 1063, 1249, 543, 5708, 267, 5168, 543, 7301, 3125, 267, 1582, 543, 824, 269, 898, 1419, 3322, 1950, 6386, 602, 20747, 519, 3515, 1063, 17728, 543, 9345, 267, 9870, 2055, 827, 519, 2470, 540, 3961, 543, 6041, 269, 1280, 3236, 267, 519, 8574, 19528, 834, 296, 1027, 4934, 623, 622, 330, 10218, 324, 1234, 2364, 320, 2437, 799, 949, 3100, 899, 606, 8966, 4358, 1448, 585, 513, 4901, 593, 1313, 1993, 2109, 269, 1717, 267, 2390, 6251, 14791, 267, 649, 1294, 875, 17195, 29167, 4196, 607, 6698, 540, 4567, 543, 8321, 566, 267, 1454, 899, 519, 1259, 4589, 540, 1313, 1993, 2109, 3343, 547, 21592, 741, 2123, 2833, 547, 1945, 811, 8471, 543, 6209, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3725, 680, 11986, 1912, 2158, 594, 1027, 4934, 623, 622, 330, 10218, 324, 1234, 2364, 320, 769, 25253, 330, 454, 1607, 1007, 12450, 2070, 543, 519, 1034, 2442, 4006, 269, 2311, 519, 2063, 5870, 267, 519, 1101, 20387, 30021, 666, 581, 8719, 676, 513, 1970, 4544, 17684, 269, 901, 568, 711, 519, 476, 2641, 560, 2540, 267, 855, 6368, 5950, 538, 519, 476, 2641, 560, 2540, 563, 15812, 589, 269, 2349, 534, 3832, 543, 12751, 15445, 20229, 269, 901, 568, 519, 1483, 25414, 26436, 267, 855, 621, 786, 948, 547, 1711, 14182, 269, 4634, 952, 15480, 518, 517, 23951, 560, 656, 514, 568, 711, 5078, 585, 2828, 543, 1148, 267, 713, 9219, 568, 849, 1360, 3730, 585, 707, 24158, 269, 634, 2199, 942, 1369, 476, 2190, 3108, 269, 769, 519, 476, 3192, 271, 338, 646, 14059, 476, 5367, 856, 1909, 343, 16995, 476, 2412, 6515, 269, 589, 281, 769, 476, 1001, 276, 267, 519, 4457, 20894, 568, 5258, 883, 1079, 11775, 269, 13437, 666, 581, 9280, 609, 513, 11909, 4154, 25231, 2280, 269, 7053, 267, 4058, 267, 1920, 543, 2828, 616, 1360, 6126, 267, 1272, 723, 513, 6126, 1272, 267, 6158, 827, 8788, 543, 8788, 267, 4708, 543, 4708, 269, 2290, 568, 594, 1027, 4934, 623, 622, 330, 10218, 324, 1234, 2364, 320, 1500, 540, 22927, 543, 16276, 543, 5697, 26797, 269, 6624, 7965, 616, 6849, 1164, 5777, 538, 2504, 19206, 269, 634, 4457, 4528, 540, 590, 778, 16308, 554, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 22547, 540, 4201, 1993, 2109, 538, 476, 2641, 560, 31588, 1722, 3943, 9085, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 5333, 1315, 476, 2641, 560, 11416, 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, 476, 274, 281, 23830, 692, 8702, 1394, 267, 8049, 8186, 256, 1284, 4126, 596, 1185, 607, 1454, 1187, 1565, 827, 22606, 640, 607, 649, 1705, 3450, 621, 269, 3767, 267, 1577, 781, 4685, 883, 938, 1985, 3078, 1888, 281, 6041, 256, 5620, 596, 2479, 5129, 609, 2679, 7161, 286, 2107, 6148, 6537, 513, 4605, 547, 2769, 875, 596, 1745, 286, 1452, 2238, 4125, 2870, 11269, 1107, 2081, 540, 1210, 835, 3364, 630, 3697, 7161, 610, 22916, 976, 264, 547, 1796, 585, 1945, 3116, 630, 320, 14500, 610, 513, 6126, 3068, 1040, 2334, 781, 1018, 5042, 3744, 1611, 950, 789, 2911, 827, 2790, 11269, 281, 1210, 835, 3364, 538, 938, 2247, 547, 2099, 1945, 3116, 856, 972, 538, 519, 1158, 780, 4131, 781, 1376, 676, 10747, 930, 1271, 2474, 1384, 265, 589, 3090, 568, 4376, 602, 6763, 585, 1945, 3116, 269, 769, 513, 4604, 3014, 267, 18062, 666, 581, 6698, 8204, 2338, 282, 538, 1893, 267, 1913, 616, 6698, 585, 3615, 267, 2093, 267, 3527, 267, 3092, 563, 265, 1323, 4835, 6041, 568, 513, 2790, 3090, 1031, 1369, 938, 2634, 547, 948, 721, 1118, 2631, 540, 1919, 1472, 721, 269, 898, 1223, 581, 513, 3280, 267, 3239, 267, 4743, 267, 9329, 267, 6492, 267, 610, 1256, 3350, 2336, 265, 7402, 5317, 4016, 547, 13321, 1344, 689, 3544, 938, 12058, 883, 891, 4835, 11269, 269, 5463, 5317, 1797, 24758, 1346, 4835, 9479, 1394, 883, 6209, 2833, 780, 3086, 4952, 2370, 15207, 6499, 547, 2721, 1010, 5172, 3662, 267, 27683, 256, 1879, 646, 14659, 827, 27683, 267, 1585, 10444, 11378, 19334, 1114, 2694, 540, 1010, 2634, 267, 8108, 606, 2949, 12705, 540, 513, 20259, 269, 3571, 4064, 1522, 11291, 922, 10058, 10538, 2681, 543, 3109, 26145, 282, 1010, 10772, 949, 3314, 741, 2620, 1332, 3149, 282, 5310, 8823, 540, 4620, 1154, 513, 2571, 3032, 2097, 547, 2247, 1932, 269, 2353, 891, 11353, 540, 1344, 1205, 23876, 883, 513, 2582, 2790, 3090, 1765, 20755, 3240, 779, 1378, 2123, 968, 339, 9528, 892, 11090, 780, 9202, 942, 15207, 12034, 513, 1483, 20259, 693, 519, 23291, 610, 29167, 513, 17245, 10023, 873, 267, 1010, 2634, 1232, 3941, 519, 19670, 3308, 1239, 1996, 713, 6740, 20259, 10959, 267, 9301, 10486, 1063, 4641, 543, 3965, 269, 901, 1184, 2337, 1864, 2697, 543, 1921, 14156, 609, 519, 15999, 28458, 1354, 1864, 780, 2026, 596, 1294, 267, 1175, 899, 4730, 609, 9162, 610, 5373, 5961, 267, 2790, 11269, 1450, 721, 547, 2170, 25006, 609, 519, 7122, 269, 1358, 3337, 711, 1152, 875, 649, 13498, 855, 849, 875, 649, 2601, 267, 1451, 267, 5968, 267, 4194, 2042, 267, 543, 1106, 3347, 269, 4197, 6041, 10741, 9885, 547, 26762, 811, 7096, 3344, 540, 1480, 17133, 267, 971, 607, 8226, 267, 3007, 267, 7553, 267, 3375, 1818, 267, 5876, 267, 9345, 267, 9637, 267, 543, 5841, 4987, 780, 4517, 7058, 1018, 286, 1411, 782, 4865, 713, 6909, 1379, 1318, 3330, 707, 9843, 256, 1215, 3579, 568, 602, 26834, 5901, 3695, 543, 3251, 22934, 585, 811, 4241, 4030, 883, 519, 22539, 7706, 540, 5042, 2257, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 3519, 24632, 12983, 538, 15465, 3163, 257, 5497, 585, 1762, 1453, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 3525, 983, 640, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 274, 269, 23830, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 274, 269, 272, 269, 9502, 540, 6041, 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, 8855, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474, 0, 6092, 5149, 281, 4197, 7756, 21126, 281, 589, 6733, 883, 3778, 543, 5980, 692, 8893, 281, 10289, 519, 11806, 266, 11873, 998, 519, 30776, 540, 519, 11785, 11557, 20280, 531, 692, 7072, 912, 5970, 596, 2479, 4862, 540, 519, 2165, 834, 299, 294, 6630, 304, 266, 257, 1354, 286, 898, 6763, 585, 15776, 15487, 267, 22985, 267, 645, 21361, 267, 3690, 14054, 267, 6581, 518, 270, 9223, 532, 267, 543, 1866, 945, 2697, 607, 851, 540, 713, 2146, 269, 901, 2146, 814, 5185, 1082, 2591, 2429, 1686, 267, 855, 789, 723, 849, 1500, 1713, 7418, 547, 2486, 269, 4653, 267, 649, 786, 1451, 827 ]

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

[ 7822, 12005, 15894, 281, 2073, 8592, 22846, 1133, 643, 32220, 4338, 299, 267, 25763, 3194, 2382, 563, 5522, 19513, 568, 811, 10477, 982, 649, 666, 1294, 269, 7822, 1239, 543, 2592, 540, 938, 9891, 3590, 781, 1034, 4583, 21221, 4541, 267, 3144, 676, 519, 18951, 1715, 21222, 976, 14361, 1282, 922, 8038, 2421, 538, 5147, 267, 723, 1044, 25274, 5916, 547, 2285, 606, 8476, 2070, 540, 713, 3504, 1158, 23242, 606, 30122, 1762, 2627, 269, 634, 12286, 8476, 2681, 3239, 568, 711, 1152, 1609, 24312, 7168, 855, 23963, 3730, 267, 1818, 2627, 4525, 540, 18312, 3114, 5888, 11617, 3982, 269, 1280, 1383, 267, 519, 1769, 23469, 2295, 11057, 570, 4861, 2795, 3204, 1470, 593, 519, 2539, 1318, 568, 5693, 3254, 1934, 547, 581, 16883, 883, 1079, 4525, 602, 616, 2520, 10999, 1114, 267, 609, 519, 2451, 2865, 27914, 590, 1584, 23364, 4643, 636, 849, 17729, 29099, 5347, 269, 1715, 21222, 976, 1631, 5170, 593, 3564, 32624, 267, 786, 3136, 547, 11237, 1394, 811, 2592, 543, 1239, 267, 543, 786, 4166, 581, 9859, 547, 1689, 1576, 865, 602, 621, 666, 8038, 2250, 20503, 476, 1001, 275, 631, 308, 7597, 538, 476, 1001, 280, 5130, 563, 5522, 19513, 16103, 609, 16684, 4112, 534, 725, 281, 6673, 7495, 32624, 9612, 10843, 519, 3618, 454, 300, 4029, 281, 634, 1656, 668, 20364, 30982, 12005, 15894, 1299, 14645, 281, 7917, 717, 754, 2401, 454, 1432, 568, 519, 14282, 2101, 14925, 547, 938, 1378, 27305, 10158, 30982, 286, 1656, 668, 20364, 269, 769, 1249, 267, 938, 30982, 568, 2219, 547, 1413, 1454, 899, 1656, 668, 20364, 269, 8625, 891, 1079, 15270, 20441, 519, 10871, 6828, 540, 15270, 269, 634, 27556, 1769, 689, 1656, 668, 20364, 568, 3361, 676, 519, 7366, 540, 17542, 540, 6801, 602, 17492, 621, 269, 634, 1896, 3982, 6801, 602, 3295, 1656, 668, 20364, 781, 3239, 616, 2965, 6801, 538, 938, 30982, 602, 616, 1134, 538, 4395, 540, 519, 4282, 1843, 269, 1656, 668, 20364, 568, 4749, 5219, 547, 607, 631, 4029, 2094, 621, 568, 519, 476, 4029, 560, 1843, 593, 11619, 1512, 781, 1592, 540, 27556, 6607, 3615, 269, 631, 4029, 568, 865, 11397, 621, 3217, 827, 1079, 2929, 1296, 585, 1769, 547, 3914, 721, 689, 972, 269, 4014, 7298, 1510, 5351, 267, 519, 1657, 3239, 540, 631, 4029, 568, 513, 3059, 24463, 540, 476, 736, 14604, 3144, 609, 513, 1507, 16263, 269, 13518, 827, 631, 4029, 3788, 7164, 267, 1519, 4010, 875, 1279, 621, 786, 1354, 621, 2458, 1938, 609, 938, 1753, 14925, 454, 18439, 707, 17807, 281, 15932, 6673, 7495, 31098, 680, 19513, 8476, 12039, 11406, 763, 1530, 698, 1638, 3026, 321, 3121, 4144, 2678, 4024, 553, 577, 22349, 549, 4211, 629, 6839, 454, 288, 3376, 1163, 534, 572, 540, 30437, 3154, 543, 7452, 6799, 513, 6177, 6438, 1471, 720, 547, 19936, 689, 4541, 3047, 267, 11021, 922, 2442, 1395, 32304, 910, 634, 1530, 698, 1638, 3026, 321, 3121, 269, 901, 17855, 540, 519, 17184, 6177, 6227, 513, 476, 272, 269, 277, 4110, 2647, 2220, 987, 2066, 519, 7077, 540, 519, 27305, 10158, 267, 2282, 519, 4287, 540, 11184, 3780, 267, 13672, 5182, 540, 519, 26424, 2052, 529, 11683, 269, 2986, 1576, 267, 519, 3148, 2882, 3615, 609, 824, 17048, 1374, 725, 281, 16113, 15726, 290, 476, 22446, 278, 267, 513, 11741, 267, 7452, 344, 12998, 3148, 609, 606, 11251, 7372, 5182, 602, 3029, 519, 6177, 781, 2212, 630, 10440, 519, 3474, 8527, 3026, 321, 3121, 267, 1657, 4099, 1040, 12358, 3990, 676, 519, 26070, 16657, 540, 10570, 7250, 267, 519, 1950, 540, 3154, 543, 7452, 12269, 609, 6505, 1762, 6801, 21269, 936, 476, 1911, 1769, 26188, 693, 606, 6059, 476, 274, 267, 8517, 1769, 4458, 3845, 563, 303, 6269, 529, 589, 8111, 2617, 320, 3816, 333, 656, 5213, 7108, 2006, 454, 7804, 1508, 676, 519, 16411, 540, 513, 7372, 5182, 267, 31975, 320, 20276, 656, 28523, 529, 589, 568, 1025, 8463, 883, 519, 4478, 26300, 15362, 5420, 827, 476, 278, 267, 1822, 1769, 26188, 2476, 269, 2311, 602, 3845, 267, 713, 10477, 12382, 8084, 2361, 1759, 593, 29577, 543, 7522, 7171, 9804, 3239, 1239, 568, 827, 476, 2568, 1769, 26188, 2066, 269, 1306, 519, 31975, 320, 20276, 656, 21040, 883, 922, 804, 17056, 267, 1875, 10595, 6134, 10450, 267, 28280, 2083, 14613, 540, 5135, 8444, 16657, 538, 3039, 15918, 826, 24698, 269, 25756, 543, 9436, 616, 538, 2699, 269, 8752, 689, 519, 3355, 31975, 320, 3294, 267, 15427, 676, 519, 12900, 540, 519, 7372, 5182, 781, 4295, 267, 1131, 723, 6603, 3047, 827, 476, 274, 267, 10384, 1296, 3516, 269, 634, 28523, 529, 589, 20276, 656, 568, 2965, 2938, 998, 856, 2391, 12998, 689, 519, 6251, 855, 811, 3504, 966, 11253, 31975, 320, 20276, 656, 267, 2282, 519, 22125, 7077, 540, 938, 27305, 10158, 14925, 269, 12846, 30437, 2066, 519, 13590, 8552, 28523, 529, 589, 3788, 835, 540, 519, 6505, 652, 2959, 538, 519, 2473, 11920, 6607, 454, 763, 14066, 13192, 540, 7395, 749, 534, 12005, 15894, 1299, 14645, 281, 24883, 12876, 321, 1515, 333, 454, 763, 476, 1626, 628, 2540, 14082, 4044, 1807, 30544, 7395, 749, 534, 543, 1010, 12284, 1185, 7899, 540, 942, 547, 1353, 519, 7013, 6607, 1282, 519, 1101, 2235, 4379, 3572, 566, 540, 4541, 3047, 269, 1306, 513, 1267, 267, 1079, 27967, 6531, 6438, 3615, 3362, 7298, 547, 7013, 21571, 6607, 326, 1794, 619, 616, 1634, 607, 519, 1849, 10796, 540, 7395, 749, 534, 267, 1631, 6956, 547, 581, 9682, 15270, 540, 938, 1454, 3677, 267, 18700, 27305, 10158, 14925, 269, 6168, 476, 8182, 267, 1822, 1769, 26188, 11397, 538, 519, 26424, 16910, 5964, 267, 519, 14066, 7395, 749, 23307, 13192, 630, 299, 10157, 264, 568, 2938, 1934, 538, 513, 26526, 2620, 267, 10477, 267, 3239, 269, 1975, 8911, 827, 476, 1428, 267, 1822, 1769, 26188, 610, 865, 267, 621, 568, 519, 1034, 7372, 540, 519, 27305, 10158, 781, 9682, 15270, 543, 568, 519, 1753, 540, 519, 14191, 31975, 320, 538, 2413, 2053, 267, 19301, 476, 2735, 278, 288, 269, 634, 7986, 15429, 2630, 4099, 568, 476, 1789, 16910, 611, 639, 267, 849, 1634, 607, 519, 15999, 570, 5875, 3121, 3026, 321, 3121, 267, 568, 513, 9649, 5182, 268, 14127, 3148, 827, 476, 272, 267, 1822, 1769, 26188, 2066, 563, 17686, 5407, 476, 274, 4200, 281, 634, 3213, 520, 670, 9734, 3627, 932, 636, 871, 454, 3674, 713, 10359, 554, 9734, 513, 5182, 12440, 610, 606, 14531, 1143, 286, 901, 17184, 13793, 5346, 814, 1044, 23503, 936, 1454, 540, 2063, 2540, 267, 607, 19936, 9289, 2436, 713, 10822, 22811, 23724, 1043, 1843, 568, 2731, 513, 9308, 2404, 1930, 12440, 610, 513, 4960, 16879, 269, 26554, 5182, 20327, 616, 1634, 607, 14531, 3359, 267, 606, 1383, 540, 799, 568, 519, 2442, 8262, 667, 23124, 269, 10765, 5730, 7403, 689, 1114, 642, 656, 720, 2798, 538, 519, 3047, 781, 10739, 1472, 519, 6129, 723, 20114, 15739, 335, 656, 16070, 10593, 10834, 602, 519, 3213, 520, 670, 9734, 568, 1732, 4330, 607, 606, 14531, 1143, 269, 19612, 811, 18005, 607, 7502, 5407, 476, 274, 4200, 267, 713, 6505, 24974, 23454, 568, 9962, 982, 519, 2407, 7599, 543, 6013, 538, 519, 26424, 540, 519, 16737, 630, 309, 592, 701, 1529, 320, 1916, 4338, 7495, 568, 849, 2139, 538, 281, 12428, 289, 1695, 14505, 24414, 290, 7614, 534, 267, 4457, 267, 4457, 267, 16231, 267, 10656, 267, 674, 1513, 328, 267, 674, 1513, 328, 267, 8895, 1122, 334, 267, 4436, 267, 3943, 267, 12355, 267, 5545, 267, 11114, 267, 3933, 1084, 1122, 12541, 267, 14470, 267, 6739, 267, 5395, 15487, 267, 6215, 8576, 1014, 267, 2073, 21487, 267, 610, 12395, 12360, 523, 2230, 0, 3528, 3220, 18238, 717, 17311, 454, 8310, 8242, 476, 1001, 272, 268, 6349, 268, 1704, 454, 763, 11135, 540, 4477, 580, 565, 663, 645, 697, 634, 4477, 580, 565, 663, 645, 697, 568, 519, 12701, 540, 1216, 1055, 5125, 781, 2101, 3345, 7256, 3490, 540, 12070, 515, 916, 6409, 523, 269, 634, 6370, 602, 12217, 922, 2012, 729, 10692, 538, 513, 10539, 540, 20893, 543, 688, 2763, 593, 476, 2764, 4864, 476, 4489, 275, 267, 950, 513, 3703, 4323, 3366, 676, 2155, 617, 648, 570, 10455, 3369, 8636, 729, 15841, 593, 4436, 9381, 29862, 338, 910, 1210, 519, 3196, 540, 6861, 619, 543, 20140, 1149, 1759, 693, 4498, 16049, 563, 763, 986, 573, 729, 4988, 676, 18219, 4229, 267, 1519, 21470, 31288, 19468, 1399, 781, 3532, 1412, 290, 745, 16014, 10414, 589, 3299, 519, 3689, 11135, 14265, 16014, 8293, 611, 1258, 543, 519, 3689, 8752, 14265, 16014, 8293, 611, 1258, 267, 855, 519, 5106, 729, 2261, 1042, 676, 4057, 5234, 960, 269, 19468, 1399, 729, 1152, 2366, 856, 693, 519, 2063, 8792, 267, 543, 519, 1292, 31487, 1705, 711, 1256, 917, 646, 729, 4947, 563, 2691, 2962, 729, 8678, 267, 570, 10455, 3369, 8636, 1185, 7784, 2042, 609, 1010, 6216, 1007, 17514, 1222, 267, 519, 1769, 2267, 16014, 3657, 628, 25901, 267, 799, 729, 5734, 676, 513, 7387, 689, 513, 4436, 2267, 16014, 269, 2859, 4436, 2267, 23924, 7902, 547, 5397, 1055, 519, 3703, 6861, 619, 269, 634, 1554, 729, 10710, 676, 19468, 1399, 267, 18674, 676, 1079, 811, 6370, 2267, 23924, 547, 1118, 2947, 538, 782, 269, 8422, 4436, 2267, 23924, 543, 513, 6861, 518, 941, 5555, 3141, 330, 269, 3143, 3703, 9635, 941, 4503, 267, 855, 3657, 628, 25901, 543, 1079, 8697, 3703, 6861, 619, 1185, 547, 581, 6287, 539, 1753, 269, 634, 3703, 1500, 1454, 540, 741, 11802, 267, 855, 1369, 519, 13108, 972, 729, 17140, 269, 589, 1732, 9709, 5106, 1223, 723, 2944, 865, 1454, 1732, 563, 1607, 2985, 568, 1655, 9763, 538, 606, 909, 3562, 15082, 1357, 11422, 609, 2511, 9212, 630, 16430, 264, 13087, 269, 2755, 596, 786, 581, 2111, 547, 2070, 519, 1543, 540, 713, 2985, 538, 707, 1699, 11422, 267, 596, 786, 711, 581, 2111, 547, 1205, 519, 2407, 3308, 1995, 269, 7490, 2015, 18175, 15665, 707, 11422, 3301, 610, 7175, 2511, 9212, 630, 16430, 264, 952, 596, 616, 2111, 547, 798, 865, 269, 0, 7709, 910, 5769, 16257, 454, 9638, 1258, 6407, 607, 5094, 5022, 264, 10374, 585, 5769, 16257, 269, 7379, 23403, 519, 3898, 540, 21168, 267, 849, 1572, 3611, 22329, 267, 543, 519, 5466, 10325, 269, 4107, 5121, 9192, 7379, 609, 513, 2362, 7400, 7014, 1572, 28298, 6513, 16257, 630, 307, 9573, 1070, 799, 20964, 513, 5691, 4276, 1063, 513, 10278, 543, 513, 2707, 563, 7709, 676, 3294, 568, 1945, 899, 519, 2022, 531, 1062, 269, 898, 2636, 596, 547, 2232, 513, 10189, 543, 6749, 621, 538, 519, 1062, 267, 855, 972, 781, 1100, 1463, 3095, 1063, 596, 543, 519, 18579, 269, 27427, 270, 7709, 267, 593, 519, 824, 1688, 267, 20964, 513, 4276, 1063, 1079, 14747, 865, 602, 789, 666, 6494, 6835, 1394, 543, 8521, 585, 513, 1974, 540, 942, 563, 763, 1699, 4528, 540, 7379, 568, 7379, 341, 275, 269, 589, 1007, 4528, 267, 1572, 7379, 341, 277, 610, 7379, 978, 267, 568, 896, 1646, 563, 9596, 827, 1142, 540, 519, 2947, 5481, 540, 5904, 543, 2101, 2029, 7835, 602, 723, 3366, 547, 519, 1699, 3457, 602, 649, 946, 2221, 269, 3367, 2859, 9732, 22102, 6355, 16373, 781, 4279, 652, 670, 1080, 454, 763, 1739, 28094, 540, 1507, 1870, 6725, 4388, 8711, 930, 540, 519, 4274, 5796, 3370, 936, 693, 9540, 6355, 17270, 269, 3367, 2859, 9732, 1724, 7454, 5131, 15692, 29393, 454, 5804, 5150, 20261, 547, 3561, 11049, 267, 938, 1283, 1863, 1590, 3620, 1511, 8924, 723, 1044, 15951, 267, 12649, 543, 3957, 519, 1655, 1863, 15692, 8924, 540, 476, 1001, 276, 269, 3367, 2859, 19314, 4415, 1942, 543, 3354, 538, 2247, 267, 649, 1413, 693, 2947, 6531, 4859, 3681, 602, 786, 9290, 519, 2115, 540, 1034, 1753, 543, 590, 11586, 5411, 269, 3367, 2859, 9732, 20360, 3298, 476, 1015, 9669, 585, 30325, 9008, 7193, 454, 26668, 2596, 4388, 547, 948, 596, 21160, 8837, 476, 1015, 593, 707, 18376, 7193, 269, 3367, 2859, 9732, 3066, 5131, 15692, 29393, 585, 22418, 21178, 571, 5529, 4841, 454, 5804, 530, 871, 344, 15372, 23234, 547, 11000, 10689, 2645, 543, 1310, 1362, 9913, 267, 891, 15692, 8924, 616, 513, 1434, 3514, 585, 513, 2875, 781, 1272, 543, 6578, 269, 3367, 2859, 19314, 26835, 909, 547, 4266, 593, 519, 5767, 7835, 538, 5769, 16166, 609, 513, 1863, 12353, 20394, 689, 5680, 31638, 269, 15012, 547, 24049, 1631, 563, 268, 13772, 13096, 14212, 781, 9375, 6276, 7395, 340, 790, 9793, 5180, 14456, 5717, 609, 10509 ]

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

[ 0, 6124, 1382, 814, 1031, 5959, 2963, 547, 22942, 950, 11864, 1101, 7902, 563, 1607, 1382, 729, 3370, 538, 4750, 540, 22845, 563, 763, 1353, 267, 606, 3486, 5698, 3366, 676, 519, 8549, 2160, 540, 21586, 9835, 324, 798, 590, 592, 630, 308, 15709, 14899, 1070, 538, 5800, 334, 589, 5586, 516, 267, 8478, 267, 799, 849, 3769, 3173, 689, 3751, 779, 5441, 5507, 543, 519, 7849, 3778, 7467, 538, 5507, 267, 5177, 267, 8947, 2539, 28287, 540, 15455, 540, 5696, 553, 559, 31788, 9076, 9771, 13453, 10856, 13355, 3662, 602, 5030, 827, 476, 18597, 2929, 1296, 3516, 563, 26046, 540, 519, 1114, 2208, 5933, 6029, 5694, 1646, 538, 1142, 540, 519, 15455, 3177, 2963, 602, 789, 941, 519, 3788, 540, 513, 25850, 563, 2691, 1705, 11864, 2408, 888, 7093, 16227, 621, 729, 1634, 602, 519, 942, 950, 11864, 7902, 729, 476, 13078, 2929, 1296, 3516, 269, 901, 1007, 1382, 5267, 606, 4505, 5920, 540, 476, 736, 2929, 1296, 563, 2108, 18128, 2064, 689, 875, 519, 7202, 819, 729, 3710, 1282, 1646, 568, 2629, 543, 17046, 538, 6029, 602, 5696, 553, 559, 31788, 729, 513, 25850, 269, 3776, 960, 22705, 519, 24970, 593, 519, 7521, 827, 1018, 11225, 513, 25850, 543, 2982, 606, 4505, 942, 1448, 540, 5920, 538, 15455, 982, 5892, 1634, 2223, 3081, 631, 30377, 631, 1229, 603, 8055, 267, 689, 3751, 779, 5441, 563, 300, 2459, 776, 15374, 267, 799, 3132, 5144, 543, 3049, 1762, 11864, 2221, 267, 723, 711, 1044, 12873, 538, 1022, 15455, 1336, 547, 4266, 269, 12207, 723, 4061, 1185, 547, 7048, 593, 968, 14551, 8031, 5608, 7777, 1242, 7633, 543, 8093, 1944, 4522, 585, 4244, 10881, 267, 11339, 4284, 3820, 563, 1692, 616, 25850, 4522, 1114, 888, 2750, 600, 1456, 7202, 819, 1336, 538, 5696, 553, 559, 31788, 9076, 9771, 529, 15455, 689, 7013, 8478, 543, 18584, 547, 827, 476, 18597, 2929, 1296, 3516, 630, 299, 622, 10222, 26226, 21610, 20187, 1070, 519, 1382, 2319, 1336, 2963, 540, 513, 2582, 1305, 540, 8628, 4522, 563, 1607, 568, 513, 1883, 8984, 540, 11864, 267, 1634, 607, 16702, 1506, 31788, 1399, 269, 17926, 4522, 2253, 547, 1020, 1282, 519, 25782, 3942, 267, 543, 513, 2034, 1305, 630, 6518, 568, 849, 519, 2063, 264, 10953, 2899, 519, 3662, 568, 4535, 563, 3528, 4334, 267, 16277, 27482, 7202, 1431, 616, 1114, 267, 1945, 1572, 4874, 19148, 31788, 1399, 267, 1141, 1142, 5694, 786, 16956, 4733, 1896, 2053, 2429, 513, 16277, 850, 779, 1272, 547, 5372, 8697, 3283, 563, 300, 20488, 543, 5144, 4522, 454, 291, 760, 1506, 16599, 807, 568, 513, 1950, 543, 2189, 7613, 602, 267, 2059, 609, 519, 10682, 540, 4522, 267, 849, 3322, 7096, 267, 942, 22306, 2242, 538, 519, 14169, 540, 519, 15693, 267, 585, 1383, 267, 519, 19479, 540, 519, 6281, 31370, 630, 549, 1993, 540, 519, 5023, 1070, 799, 2636, 519, 7105, 547, 29186, 543, 13236, 693, 519, 1482, 942, 4586, 22154, 1382, 568, 513, 5698, 1063, 19384, 543, 3703, 3744, 945, 723, 4547, 1927, 741, 6791, 538, 22623, 658, 1646, 267, 5959, 14169, 267, 17550, 543, 1277, 1108, 547, 4612, 519, 11174, 543, 2937, 15455, 540, 519, 17255, 2249, 5696, 553, 559, 31788, 22712, 4048, 983, 529, 2223, 3081, 3220, 26795, 6762, 614, 267, 689, 519, 7467, 540, 7849, 3778, 543, 1292, 2278, 540, 519, 1957, 563, 289, 6652, 559, 31788, 11478, 693, 519, 1482, 942, 607, 519, 9998, 1634, 17878, 543, 4440, 5030, 538, 3276, 4900, 267, 899, 2361, 8983, 2221, 563, 763, 1007, 1382, 3217, 519, 5169, 540, 16702, 1506, 617, 20184, 538, 5696, 553, 559, 31788, 267, 543, 4061, 11864, 267, 1394, 476, 736, 2929, 1296, 543, 6770, 1007, 1344, 547, 519, 7521, 827, 950, 11864, 1101, 7902, 269, 0, 763, 3601, 540, 519, 5122, 25317, 540, 5160, 616, 606, 4277, 1353, 267, 1317, 2242, 540, 519, 5122, 25317, 540, 8219, 616, 1644, 547, 12214, 543, 27690, 269, 5637, 12214, 543, 27690, 3601, 616, 9244, 2404, 609, 2068, 1344, 269, 11153, 6901, 3254, 602, 519, 6089, 2860, 814, 513, 2539, 25317, 982, 519, 3339, 6089, 5160, 269, 4935, 267, 519, 9196, 1759, 593, 25317, 666, 581, 1031, 607, 606, 4244, 3937, 547, 3713, 519, 6089, 2860, 269, 901, 1382, 11438, 856, 676, 20592, 540, 15379, 1955, 6244, 766, 8751, 2762, 547, 3713, 519, 6089, 2860, 676, 13113, 4320, 2409, 269, 634, 1382, 2882, 1646, 540, 513, 6310, 2203, 540, 519, 3167, 1761, 2361, 676, 476, 273, 291, 5685, 924, 11730, 6396, 267, 6061, 519, 4464, 1966, 543, 11201, 1966, 676, 5276, 16646, 1505, 269, 634, 17655, 568, 2944, 676, 476, 1626, 8756, 19650, 609, 12543, 1505, 547, 2445, 1239, 269, 634, 17655, 568, 5340, 693, 513, 4908, 540, 476, 1015, 737, 13703, 543, 476, 1911, 737, 13703, 609, 1614, 3615, 25948, 2882, 606, 31096, 693, 519, 2627, 267, 606, 31096, 693, 519, 3178, 543, 606, 31096, 693, 519, 2627, 543, 693, 3178, 269, 634, 11191, 814, 1044, 6707, 547, 18949, 3239, 540, 6198, 22114, 540, 519, 6089, 2860, 693, 519, 2627, 2990, 267, 519, 3178, 2990, 610, 513, 4999, 540, 2627, 543, 519, 3178, 563, 347, 22711, 1475, 22711, 540, 8212, 281, 10985, 10022, 2008, 347, 26397, 4567, 1475, 13775, 910, 476, 278, 9947, 476, 1001, 278, 2008, 347, 30631, 1475, 17220, 10985, 593, 8447, 19639, 7695, 543, 11628, 10049, 267, 594, 9573, 296, 4456, 476, 1001, 277, 910, 2672, 4599, 11535, 267, 12868, 2008, 291, 4851, 281, 476, 2767, 4239, 476, 1001, 277, 9890, 2560, 0, 12831, 1833, 568, 519, 3056, 3815, 540, 9659, 543, 519, 2949, 2518, 11411, 540, 3676, 269, 634, 1480, 3854, 2203, 2488, 606, 3617, 12497, 2203, 585, 5883, 1480, 1072, 269, 901, 1353, 6322, 547, 3313, 519, 7681, 1063, 1480, 3854, 630, 10175, 1514, 267, 3929, 267, 2168, 267, 2883, 267, 543, 7214, 3854, 264, 543, 19591, 2589, 1851, 11327, 2085, 2516, 538, 12868, 269, 589, 3444, 22891, 1353, 729, 5342, 676, 7421, 1239, 540, 476, 280, 267, 5952, 279, 17013, 9907, 476, 1428, 268, 6795, 1296, 602, 941, 5833, 689, 519, 12868, 7731, 5020, 11752, 476, 276, 630, 9281, 11862, 476, 276, 1040, 5564, 21725, 26848, 9695, 729, 1031, 547, 2708, 519, 7681, 1063, 1480, 3854, 3334, 543, 19591, 2589, 269, 7324, 17013, 267, 476, 2537, 269, 4792, 260, 1185, 2362, 19591, 2589, 269, 4317, 3972, 543, 1514, 5121, 630, 4820, 540, 1514, 3854, 264, 941, 3648, 1644, 547, 19591, 2589, 269, 8682, 3146, 19959, 9547, 630, 4820, 540, 3929, 3854, 264, 941, 849, 1644, 547, 19591, 2589, 267, 607, 1134, 607, 1582, 268, 3603, 1072, 267, 3207, 2298, 267, 513, 1297, 540, 5312, 2068, 267, 1560, 2527, 4994, 630, 289, 11085, 1070, 543, 2168, 8647, 630, 4820, 540, 2168, 3854, 1040, 8298, 4747, 630, 4820, 540, 2883, 3854, 264, 543, 2069, 1377, 630, 4820, 540, 7214, 3854, 264, 941, 1644, 547, 19591, 2589, 1310, 9013, 585, 824, 4632, 269, 2986, 782, 519, 3334, 540, 1480, 3854, 267, 2168, 3854, 814, 519, 1034, 10305, 2404, 609, 519, 1981, 540, 19591, 2589, 269, 4475, 267, 4965, 6604, 3292, 666, 581, 3922, 1242, 593, 10305, 1644, 547, 2168, 3854, 563, 31871, 540, 3817, 1475, 1321, 2008, 347, 22711, 1475, 312, 1446, 4750, 540, 10334, 543, 6925, 2008, 347, 26397, 4567, 1475, 13775, 910, 20029, 476, 1708, 272, 2008, 268, 3493, 4809, 2589, 454, 268, 5274, 3854, 454, 268, 10076, 1072, 454, 268, 8605, 633, 2085, 1895, 0, 1103, 713, 2022, 649, 786, 581, 2870, 513, 5124, 7097, 547, 2721, 513, 2295, 1210, 519, 14854, 5399, 269, 634, 14854, 5399, 6087, 721, 547, 513, 5691, 17198, 1141, 835, 666, 2721, 606, 11995, 1297, 540, 5546, 543, 5961, 269, 898, 568, 2523, 3730, 585, 14987, 267, 1453, 543, 23501, 16462, 547, 723, 930, 1187, 1107, 634, 5399, 568, 3908, 1152, 676, 9345, 563, 8450, 519, 6256, 540, 5124, 3009, 2630, 1141, 649, 946, 519, 14854, 5399, 547, 2721, 513, 2295, 269, 1403, 596, 1265, 713, 3730, 581, 2386, 547, 2638, 856, 930, 540, 938, 824, 25725, 1806, 1934, 563, 5814, 14854, 1948, 1305, 519, 14854, 781, 3432, 14854, 4732, 32497, 263, 1015, 264, 1948, 1847, 519, 14854, 547, 519, 4358, 2990, 14854, 4877, 523, 1575, 3890, 14854, 3052, 9369, 263, 271, 267, 910, 1220, 264, 14854, 4877, 754, 1144, 3890, 1948, 2721, 519, 1101, 3368, 540, 519, 2295, 14854, 269, 8218, 6958, 650, 3890, 14854, 269, 10233, 2891, 1042, 2580, 834, 335, 1074, 8442, 14854, 16000, 263, 9610, 264, 14854, 269, 3453, 263, 23470, 264, 1948, 2721, 519, 2034, 3368, 540, 519, 2295, 14854, 6983, 22511, 8987, 12208, 267, 476, 1220, 264, 1948, 6445, 538, 519, 2295, 14854, 15630, 3650, 532, 263, 2568, 264, 14854, 6983, 22511, 8987, 12208, 267, 476, 1220, 264, 14854, 269, 3453, 263, 23470, 264, 14854, 269, 754, 6958, 650, 3890, 1948, 12404, 519, 14854, 14854, 19544, 573, 564, 31103, 3890, 1948, 1832, 519, 6885, 1930, 14854, 6155, 821, 4590, 763, 1657, 1131, 3977, 519, 1739, 547, 513, 17198, 543, 4734, 621, 1930, 563, 2252, 596, 798, 1711, 707, 1378, 267, 5225, 798, 2671, 609, 721, 607, 649, 1131, 2648, 547, 1294, 256, 4746, 581, 2386, 547, 2638, 856, 930, 540, 938, 824, 25725, 1806, 1934, 563, 12648, 513, 1413, 693, 930, 540, 938, 824, 1543, 1472, 519, 5124, 5752, 1893, 676, 14467, 1934, 269, 0, 25444, 6487, 602, 11922, 616, 513, 8949, 1840, 547, 938, 6980, 267, 4657, 610, 20993, 519, 7657, 2293, 540, 519, 3536, 789, 616, 19610, 609, 267, 855, 972, 779, 4440, 513, 1906, 1271, 1919, 602, 596, 1810, 1406, 917, 827, 873, 269, 3367, 713, 5363, 3391, 547, 1451, 827, 3395, 11922, 267, 1018, 547, 4444, 267, 543, 875, 547, 5965, 707, 11922, 585, 5986, 256, 6258, 519, 30304, 547, 2327, 707, 11922, 8853, 563, 1692, 547, 22320, 4173, 2125, 454, 6624, 3494, 602, 3395, 11922, 568, 513, 4305, 11603, 585, 2030, 4966, 267, 855, 4250, 711, 256, 2659, 11922, 5968, 741, 2115, 282, 782, 596, 991, 568, 547, 1174, 741, 1893, 269, 3371, 267, 649, 2697, 9963, 4191, 540, 606, 513, 4979, 2030, 543, 1683, 5583, 593, 4509, 922, 1072, 563, 2252, 707, 11922, 2490, 5835, 267, 596, 1522, 581, 936, 22476, 269, 6744, 519, 3037, 781, 7509, 282, 952, 621, 781, 15459, 267, 8963, 621, 607, 15695, 538, 938, 3105, 10786, 1416, 4388, 269, 17797, 707, 14450, 6296, 9935, 563, 11947, 5210, 666, 1291, 547, 27315, 1154, 269, 4855, 513, 5544, 609, 9940, 7943, 543, 9793, 3002, 269, 3680, 27290, 2242, 547, 2061, 2566, 269, 4793, 1466, 568, 1883, 1765, 10849, 2925, 2242, 835, 693, 513, 942, 563, 290, 2130, 585, 4173, 2125, 281, 3245, 7233, 547, 17934, 454, 2791, 4312, 10114, 3293, 707, 11922, 267, 543, 1631, 621, 781, 942, 547, 5260, 712, 741, 7657, 2293, 269, 3371, 616, 930, 4388, 593, 8600, 543, 6220, 873, 883, 707, 6980, 563, 306, 12522, 569, 7556, 519, 2694, 596, 1616, 547, 3548, 1510, 31362, 519, 2030, 676, 8930, 4221, 519, 25568, 1141, 519, 6565, 543, 6978, 2743, 269, 10312, 593, 519, 4587, 3762, 267, 607, 789, 3565, 811, 547, 519, 2030, 781, 21755, 563, 29002, 4173, 2125, 547, 2725, 1023, 454, 292, 4582, 622, 707, 8286, 676, 1210, 28448, 13603, 11922, 607, 513, 21959, 880, 269, 15439, 12235, 873, 593, 1283, 585, 606, 4674, 1652, 2943, 17175, 11477, 1995, 563, 24375, 1676, 6363, 7037, 4173, 2125, 585, 5272, 8493, 10273, 454, 30342, 7334, 286, 4173, 321, 1416, 3884, 1405, 3025, 781, 585, 974, 267, 855, 18094, 17188, 1055, 269, 3399, 609, 19444, 7888, 11922, 899, 590, 720, 267, 774, 344, 1889, 267, 29807, 2917, 267, 543, 932, 1161, 269, 1452, 11922, 2154, 1447, 3007, 267, 3850, 596, 547, 1628, 6015, 269, 5213, 1405, 581, 27209, 676, 22303, 282, 3079, 267, 946, 873, 607, 19480, 10007, 4724, 4742, 513, 3039, 6253, 3518, 605, 563, 30265, 539, 609, 519, 1702, 540, 8939, 267, 3395, 543, 8600, 11922, 267, 596, 2811, 1631, 4712, 547, 1102, 2224, 707, 6980, 609, 4195, 1145, 543, 30993, 269, 22737, 519, 1158, 540, 11922, 267, 543, 1577, 707, 11477, 9035, 21707, 2336, 6701, 596, 3168, 547, 561, 1508, 909, 707, 1753, 5986, 609, 4195, 267, 23599, 11922, 782, 1032, 5180, 286, 589, 1883, 547, 8236, 713, 568, 6616, 707, 21064, 11922, 267, 519, 6801, 540, 519, 2483, 2252, 596, 2811, 13110, 540, 6093, 4558, 1532, 4454, 3276, 3455, 1273, 2906, 267, 596, 2811, 538, 585, 513, 1521, 609, 713, 3276, 3455, 4005, 532, 11600, 256, 13067, 17360, 3276, 7970, 616 ]

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

[ 1826, 602, 1655, 4564, 707, 1239, 543, 7028, 707, 5048, 269, 4446, 12125, 267, 1899, 11708, 267, 543, 2650, 12125, 616, 4122, 1031, 585, 1114, 2010, 540, 1239, 563, 268, 2422, 2681, 3927, 281, 2422, 2681, 547, 5031, 1271, 1344, 543, 1711, 3308, 4334, 269, 1717, 267, 581, 13533, 540, 2681, 21901, 543, 2327, 602, 707, 32331, 616, 3015, 547, 782, 3755, 563, 268, 3629, 2796, 281, 5410, 10297, 267, 10643, 267, 543, 3061, 687, 547, 1683, 2796, 543, 948, 3755, 1174, 519, 2495, 3297, 519, 1239, 563, 3528, 1739, 891, 1655, 2853, 543, 9001, 519, 1318, 2645, 267, 596, 666, 1711, 26374, 543, 6209, 1239, 32331, 602, 3927, 5968, 707, 5048, 543, 4030, 563, 2690, 811, 1344, 593, 1239, 14839, 1655, 2853, 267, 596, 666, 3643, 519, 3896, 540, 519, 4139, 4659, 585, 6176, 5071, 693, 8940, 269, 4512, 573, 14492, 563, 16631, 5675, 543, 4750, 1143, 454, 16631, 1603, 543, 19761, 568, 513, 4241, 2361, 602, 10905, 519, 10600, 540, 1148, 543, 2257, 269, 898, 3322, 14379, 1950, 3621, 2035, 538, 513, 1259, 602, 568, 24669, 543, 2502, 547, 519, 2489, 1857, 563, 16631, 5830, 543, 20859, 1404, 513, 2629, 1909, 538, 28043, 519, 7934, 1063, 3744, 543, 2486, 267, 1818, 3621, 1344, 3015, 547, 513, 9962, 5304, 563, 763, 10020, 540, 3163, 19536, 543, 4750, 1235, 454, 16631, 5830, 543, 20859, 616, 3743, 585, 24758, 3621, 3822, 883, 1893, 602, 519, 2489, 1857, 666, 10146, 269, 1358, 946, 741, 1603, 1983, 547, 6655, 1950, 3621, 2035, 538, 513, 1259, 602, 568, 4977, 267, 13181, 267, 543, 2502, 563, 4322, 4648, 1419, 960, 585, 14786, 267, 17476, 267, 2228, 12326, 267, 610, 1256, 538, 31076, 267, 1141, 789, 1867, 593, 3621, 8906, 267, 23484, 267, 543, 7760, 563, 3528, 1603, 827, 3621, 3584, 267, 2257, 5830, 543, 20859, 1404, 513, 4105, 1909, 538, 18997, 519, 1857, 543, 5009, 3621, 7924, 269, 1358, 948, 547, 1629, 22438, 1518, 1950, 5396, 267, 1818, 2257, 811, 3015, 543, 11541, 547, 4948, 1272, 563, 1103, 1840, 267, 789, 849, 4196, 607, 4585, 323, 9233, 267, 8066, 3744, 543, 1382, 5238, 18177, 585, 519, 6111, 543, 8699, 540, 741, 960, 563, 20597, 1571, 22490, 585, 3163, 5675, 543, 4750, 1143, 454, 16631, 1603, 543, 19761, 2154, 513, 2189, 4999, 540, 3621, 1702, 543, 1603, 15334, 269, 589, 2257, 5856, 1058, 723, 513, 4396, 1620, 540, 519, 3621, 1505, 267, 1382, 2553, 267, 543, 519, 2702, 547, 9691, 5659, 3621, 2090, 563, 5445, 1590, 849, 4865, 5140, 2792, 1983, 547, 3927, 6655, 1950, 1344, 547, 513, 3309, 5304, 563, 13010, 267, 2257, 5830, 543, 20859, 1590, 723, 513, 5679, 871, 585, 9423, 269, 1358, 1590, 581, 2111, 547, 4739, 8903, 6386, 602, 7001, 519, 5467, 779, 3007, 543, 1118, 3621, 3584, 4277, 543, 2502, 563, 3528, 1210, 9423, 2553, 267, 2257, 5830, 666, 1118, 3621, 1344, 811, 11541, 543, 12300, 547, 519, 5304, 563, 4910, 1545, 585, 3163, 5675, 543, 4750, 1143, 454, 2467, 616, 1896, 2200, 2139, 585, 1346, 5461, 538, 13197, 513, 4876, 538, 2257, 1603, 543, 19761, 269, 6732, 5867, 899, 11660, 1977, 543, 7186, 5240, 1683, 513, 5763, 540, 3621, 4930, 543, 3377, 2984, 602, 666, 4196, 607, 5140, 8100, 585, 14971, 2257, 5830, 563, 12234, 267, 3906, 899, 519, 2817, 5948, 540, 3163, 19536, 630, 2793, 14684, 264, 2709, 2200, 267, 11925, 267, 543, 13033, 3255, 585, 1346, 3168, 547, 4283, 519, 2361, 563, 30267, 11970, 1023, 945, 723, 1312, 2178, 7499, 5759, 543, 4396, 3621, 1702, 666, 11654, 16180, 11678, 602, 2721, 593, 741, 3309, 15421, 269, 1306, 2029, 22264, 267, 3747, 585, 3444, 16162, 9918, 1983, 786, 2693, 3136, 3395, 563, 4415, 5876, 543, 10763, 3206, 267, 972, 616, 1082, 7399, 547, 1265, 513, 6209, 4876, 26399, 6575, 543, 9443, 269, 0, 24127, 476, 274, 910, 17136, 476, 1321, 454, 7804, 269, 918, 269, 1488, 643, 31730, 534, 20330, 294, 770, 549, 10938, 6048, 267, 918, 879, 854, 11233, 267, 2558, 747, 344, 267, 3127, 454, 28536, 2670, 281, 12877, 25866, 320, 14228, 1066, 657, 636, 454, 263, 272, 264, 12877, 25866, 320, 14228, 1066, 657, 636, 2356, 6238, 609, 513, 1507, 267, 2699, 29424, 593, 707, 2960, 267, 799, 949, 18613, 513, 17178, 11116, 269, 10738, 2395, 267, 713, 29424, 666, 1020, 883, 513, 1804, 267, 11213, 1930, 15319, 563, 263, 273, 264, 634, 22377, 2356, 5526, 593, 707, 7953, 267, 855, 949, 1020, 9170, 593, 707, 1560, 269, 6884, 621, 5526, 1472, 10551, 4609, 269, 1403, 596, 723, 1896, 21385, 267, 789, 949, 1332, 543, 19467, 883, 835, 3677, 22377, 563, 263, 274, 264, 634, 3169, 2014, 540, 7510, 25866, 320, 14228, 1066, 657, 636, 568, 7164, 269, 634, 2783, 568, 711, 11763, 610, 21380, 269, 898, 781, 1419, 2404, 609, 16991, 3676, 971, 607, 22377, 894, 897, 4345, 267, 15867, 18255, 781, 2068, 543, 12263, 269, 1656, 621, 949, 723, 513, 4719, 5057, 563, 263, 275, 264, 1403, 596, 723, 7510, 25866, 320, 14228, 1066, 657, 636, 267, 1007, 2960, 8194, 267, 971, 607, 513, 2759, 610, 14047, 675, 10138, 267, 949, 9594, 1007, 21385, 269, 0, 14294, 881, 656, 13724, 906, 9866, 5703, 593, 519, 24544, 540, 5274, 5288, 269, 10724, 3690, 3836, 31157, 454, 763, 2160, 540, 717, 1258, 532, 523, 538, 519, 13814, 1107, 609, 1353, 5012, 5689, 2088, 932, 747, 4275, 340, 267, 681, 1731, 8709, 3143, 867, 267, 543, 21293, 570, 7394, 1107, 5063, 3370, 513, 1353, 602, 2982, 513, 1713, 6454, 593, 1362, 13294, 1167, 518, 940, 1063, 1480, 8957, 3684, 8144, 269, 634, 2319, 1031, 5386, 2389, 25293, 1395, 565, 532, 783, 265, 543, 1617, 13308, 1262, 1893, 3631, 585, 741, 1362, 13294, 1107, 4152, 1142, 2203, 779, 2773, 1759, 593, 519, 2298, 540, 2866, 1239, 3177, 269, 5637, 2010, 540, 3631, 4597, 539, 950, 3177, 609, 2866, 1239, 689, 2789, 2707, 4654, 563, 1765, 734, 2608, 7116, 1564, 602, 616, 1152, 5827, 540, 4393, 835, 1893, 3248, 1262, 3631, 602, 616, 5827, 540, 4393, 1079, 610, 811, 4654, 454, 18814, 547, 7760, 538, 3642, 267, 3684, 1565, 267, 543, 8849, 5121, 267, 519, 1893, 2872, 814, 13175, 547, 15849, 30968, 3684, 8144, 883, 741, 3232, 4238, 269, 1306, 971, 3684, 8144, 1382, 568, 2629, 267, 811, 865, 519, 1620, 540, 519, 4632, 602, 616, 693, 519, 4099, 540, 891, 2090, 269, 769, 713, 2376, 649, 786, 26819, 891, 4632, 630, 328, 4318, 1421, 1362, 13294, 543, 2866, 1239, 264, 547, 2744, 7071, 585, 543, 723, 513, 1732, 1620, 540, 2090, 585, 3684, 8144, 270, 14048, 563, 2414, 946, 606, 21658, 267, 1362, 13294, 616, 899, 16488, 693, 606, 2912, 819, 269, 1452, 16488, 723, 3710, 909, 1995, 936, 519, 1296, 602, 4018, 5809, 873, 547, 2708, 2912, 819, 12644, 1759, 593, 1978, 7355, 269, 1452, 16488, 616, 1287, 2016, 519, 15698, 547, 6430, 945, 10742, 519, 7355, 547, 1205, 998, 547, 519, 1985, 5180, 269, 6684, 267, 1362, 13294, 1451, 689, 2866, 1239, 538, 1931, 547, 2708, 1239, 2798, 1759, 593, 1808, 2934, 269, 769, 519, 2013, 540, 1362, 13294, 267, 789, 3313, 2436, 513, 1257, 811, 5702, 10742, 519, 7355, 585, 513, 1480, 8144, 610, 513, 3684, 8144, 563, 1103, 741, 1353, 267, 4201, 11703, 26521, 540, 5274, 543, 22532, 10724, 22564, 538, 5564, 13308, 31950, 926, 657, 32586, 2160, 540, 717, 1258, 532, 523, 779, 1382, 2319, 12290, 519, 2773, 540, 1362, 13294, 8036, 593, 1395, 565, 532, 783, 1893, 3631, 543, 1346, 8036, 593, 1617, 13308, 3631, 630, 6748, 2296, 267, 4436, 267, 6739, 267, 543, 4457, 9817, 1040, 1809, 1018, 2010, 540, 1362, 13294, 1705, 789, 946, 888, 9616, 602, 513, 3684, 1565, 2203, 666, 581, 8036, 547, 1685, 1114, 2010, 540, 8760, 4247, 269, 898, 568, 1271, 547, 1174, 602, 519, 2010, 3177, 1657, 1152, 829, 1555, 547, 513, 1978, 5690, 23995, 4450, 1373, 8246, 676, 513, 1893, 2203, 693, 1022, 2016, 942, 563, 23763, 547, 1451, 811, 827, 3631, 286, 3367, 827, 1546, 289, 12224, 320, 1107, 519, 1893, 2203, 1031, 676, 519, 3173, 689, 2160, 540, 717, 1258, 532, 523, 563, 32086, 4578, 4112, 7134, 454, 32086, 1239, 568, 519, 3355, 1239, 593, 799, 3684, 1565, 6620, 616, 2919, 269, 29968, 628, 543, 2298, 540, 1239, 2047, 5222, 519, 2773, 2298, 540, 1022, 3684, 1565, 2203, 269, 10724, 1565, 3631, 1711, 543, 13217, 3652, 1472, 519, 2866, 1239, 789, 723, 1031, 269, 1703, 616, 1614, 4485, 547, 1210, 2866, 1239, 538, 3684, 1565, 912, 21841, 14876, 1565, 1107, 3425, 3442, 519, 1239, 2934, 543, 10802, 610, 14391, 622, 519, 1239, 547, 948, 519, 3684, 5431, 4093, 454, 308, 985, 10967, 14876, 1565, 1107, 519, 1239, 568, 796, 16932, 539, 267, 609, 519, 3684, 7114, 3270, 538, 621, 454, 20812, 8455, 1565, 1107, 519, 3684, 16137, 689, 1312, 13042, 543, 796, 16932, 539, 1239, 454, 1432, 5540, 519, 2298, 540, 2866, 1239, 888, 32086, 513, 3684, 1565, 2203, 609, 2866, 1239, 568, 2147, 547, 3450, 513, 2875, 609, 9499, 269, 634, 9499, 630, 10177, 1456, 1239, 264, 616, 4904, 609, 1702, 630, 335, 16993, 543, 3347, 264, 602, 519, 2875, 630, 332, 22389, 1565, 2203, 264, 2115, 547, 4835, 1125, 269, 1403, 519, 9499, 1031, 616, 4977, 267, 3102, 267, 543, 3309, 267, 513, 2875, 786, 581, 1732, 5423, 547, 2626, 2055, 593, 513, 1449, 269, 6684, 267, 952, 519, 2866, 1239, 568, 1164, 2298, 543, 7347, 267, 519, 3684, 1565, 2203, 786, 581, 1732, 693, 1818, 4977, 11236, 563, 10932, 532, 519, 16790, 5937, 564, 1254, 540, 10724, 22564, 454, 763, 2160, 540, 717, 1258, 532, 523, 2319, 779, 3804, 729, 547, 968, 339, 871, 548, 519, 4305, 540, 8850, 5806, 3215, 1063, 1480, 543, 3684, 16627, 1848, 3371, 741, 476, 273, 1883, 4681, 912, 634, 1655, 2164, 3357, 689, 9256, 1114, 2707, 4654, 269, 4634, 1507, 5666, 540, 3606, 2866, 1239, 538, 1776, 1893, 4847, 585, 513, 3648, 1732, 7900, 2203, 269, 5637, 1395, 565, 532, 783, 543, 1617, 13308, 1362, 13294, 28322, 689, 2866, 1239, 3144, 689, 2789, 2707, 4654, 563, 634, 2319, 849, 1336, 602, 5386, 2389, 12941, 513, 4845, 7400, 2203, 593, 3561, 27480, 1257, 729, 26374, 269, 901, 729, 30074, 547, 3274, 2866, 3631, 593, 6054, 269, 20963, 2389, 12941, 538, 713, 1259, 3366, 547, 519, 5207, 2157, 540, 6111, 543, 519, 9803, 3044, 24017, 267, 10834, 811, 7123, 1362, 13294, 563, 1607, 1382, 1281, 711, 1152, 1459, 721, 609, 7835, 267, 855, 849, 12651, 4656, 593, 519, 1699, 1928, 2798, 1369, 519, 1893, 2872, 269, 634, 1382, 17019, 602, 621, 814, 1831, 5051, 2352, 547, 10646, 3312, 5931, 689, 6383, 5931, 1107, 799, 568, 513, 1360, 1271, 7156, 950, 3384, 2866, 1239, 585, 1893, 3631, 269, 1306, 971, 267, 519, 1985, 9266, 1900, 1107, 2687, 547, 519, 3173, 1107, 786, 581, 547, 2232, 1362, 13294, 602, 666, 20559, 1063, 3312, 5931, 267, 1480, 16627, 267, 610, 3684, 16627, 269, 0, 295, 17162, 6481, 2806, 12934, 2747, 9502, 454, 8702, 20829, 267, 8284, 1702, 5498, 2131, 619, 256, 4653, 267, 649, 616, 890, 9934, 1394, 519, 6106, 540, 670, 17162, 267, 606, 27099, 602, 1166, 1080, 1063, 1585, 2564, 4610, 609, 32609, 614, 640, 269, 1924, 267, 1577, 779, 19586, 519, 1082, 1368, 2478, 540, 670, 17162, 1107, 689, 15214, 28309, 5866, 8598, 547, 4400, 30071, 767, 2598, 26529, 269, 2201, 1189, 267, 649, 979, 2336, 5978, 3460, 5956, 609, 15214, 28309, 5866, 8598, 267, 606, 936, 778, 773, 591, 950, 621, 2501, 547, 8501, 269, 6333, 621, 607, 513, 26307, 685, 5428, 602, 936, 560, 904, 922, 10950, 538, 707, 18072, 267, 32117, 519, 1981, 540, 2295, 2068, 563, 29730, 28309, 5866, 8598, 568, 14229, 21294, 282, 1419, 972, 616, 1100, 2589, 2394, 1945, 4422, 4636, 269, 898, 779, 899, 602, 6456, 15072, 593, 707, 1007, 1286, 1107, 596, 1810, 1406, 1294, 621, 2394, 621, 6238, 547, 15309, 2336, 1692, 798, 649, 856, 342, 527, 713, 2848, 953, 344, 10766, 322, 6652, 615, 286, 8617, 32182, 267, 7059, 11326, 267, 543, 3635, 269, 898, 779, 899, 8156, 707, 1560, 547, 513, 838, 320, 1554, 267, 5781, 267, 543, 5329, 1346, 26307, 538, 2638, 563, 8855, 267, 15214, 28309, 5866, 8598, 568, 19242, 269, 2060, 930, 6197, 17408, 6545, 267, 596, 666, 1629, 1774, 621, 689, 513, 1761, 1072, 9651, 547, 1175, 513, 2262, 602, 779, 2182, 547, 24969, 2336, 295, 788, 520, 565, 550, 7781, 26440, 523, 3130, 630, 295, 17162 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21342, 6959, 267, 543, 1256, 17096, 256, 2060, 11422, 24909, 899, 18049, 569, 267, 713, 5326, 3587, 513, 4641, 256, 589, 11422, 10137, 568, 513, 1507, 1982, 602, 8591, 3063, 2934, 547, 707, 1357, 11422, 630, 3697, 5616, 24904, 267, 32288, 2135, 267, 3092, 12175, 4653, 267, 649, 2811, 2469, 547, 2263, 18049, 569, 543, 1294, 875, 621, 666, 1831, 707, 1360, 1378, 1603, 13930, 2439, 4089, 476, 272, 281, 1548, 568, 18049, 569, 888, 294, 1090, 3405, 569, 568, 513, 2706, 3579, 2228, 1907, 602, 1281, 1082, 1919, 693, 2899, 256, 898, 11974, 707, 10259, 267, 9060, 21342, 9073, 267, 543, 2306, 2386, 602, 707, 5220, 616, 2312, 543, 2653, 547, 1174, 269, 3807, 1589, 540, 621, 607, 707, 3059, 2296, 4116, 945, 781, 2141, 4712, 547, 2285, 10372, 543, 5583, 780, 4089, 476, 273, 281, 1215, 6496, 18049, 569, 4518, 888, 2467, 616, 1896, 2081, 596, 666, 946, 18049, 569, 269, 1411, 666, 5299, 707, 1603, 5196, 741, 3896, 543, 7227, 585, 513, 4090, 1247, 789, 4012, 1227, 1265, 1022, 2152, 269, 2107, 267, 952, 596, 4782, 17511, 1318, 2476, 267, 3643, 741, 3896, 543, 1376, 17511, 2047, 972, 269, 1358, 849, 2709, 513, 18376, 813, 1141, 596, 666, 2328, 3476, 6054, 543, 4309, 8216, 5955, 269, 1656, 7058, 1018, 286, 1703, 781, 811, 256, 1403, 596, 2648, 1210, 2262, 21932, 899, 9786, 6478, 610, 5616, 9022, 338, 267, 1810, 1405, 5855, 282, 18049, 569, 1568, 609, 1346, 1932, 2439, 4089, 476, 274, 281, 12305, 532, 18049, 569, 22362, 454, 3086, 602, 596, 917, 1018, 18049, 569, 568, 267, 9327, 1405, 621, 581, 15813, 547, 2119, 621, 3054, 286, 1677, 798, 865, 267, 1246, 891, 2241, 3268, 1384, 272, 269, 16731, 519, 4013, 18049, 569, 3896, 630, 4178, 3052, 1090, 3405, 569, 2593, 1916, 273, 269, 6733, 585, 519, 7735, 6031, 834, 7476, 18049, 569, 1631, 257, 610, 1945, 2147, 563, 274, 269, 7994, 2436, 596, 1616, 547, 4647, 519, 10137, 585, 707, 9053, 11422, 630, 2419, 4435, 267, 32288, 2135, 267, 6380, 926, 267, 22750, 264, 610, 4647, 519, 18376, 813, 269, 1280, 938, 1383, 267, 1577, 781, 3442, 519, 24904, 10137, 563, 275, 269, 8437, 834, 11754, 547, 24904, 2437, 1287, 6166, 4946, 519, 10137, 950, 19430, 563, 276, 269, 4495, 8704, 267, 596, 949, 991, 547, 1129, 909, 585, 513, 1863, 2272, 269, 7427, 519, 5528, 3177, 563, 277, 269, 3767, 1413, 585, 519, 2370, 3039, 12835, 2282, 707, 2232, 3046, 1107, 7249, 337, 1846, 267, 596, 1175, 8704, 18049, 569, 2439, 4089, 476, 275, 281, 4635, 18049, 569, 5272, 4303, 454, 8794, 18049, 569, 1169, 1554, 568, 3833, 2241, 256, 24269, 596, 2328, 4376, 2228, 267, 971, 607, 15737, 267, 3594, 267, 1514, 2923, 9708, 267, 18049, 569, 786, 8850, 2303, 9283, 543, 28303, 269, 5901, 606, 3750, 593, 519, 3039, 5858, 267, 799, 2982, 875, 1134, 707, 1603, 568, 3257, 269, 5682, 1797, 1434, 267, 5835, 6920, 930, 5634, 6959, 267, 543, 2699, 25887, 596, 547, 1713, 2042, 269, 1635, 14467, 593, 519, 896, 20040, 1913, 267, 596, 666, 2070, 18049, 569, 781, 6700, 4368, 525, 780, 6962, 912, 28885, 18049, 569, 610, 824, 2147, 11422, 24909, 883, 707, 3232, 1272, 666, 3648, 1764, 707, 1603, 1983, 269, 1452, 2645, 4196, 607, 3407, 2200, 602, 3391, 596, 2509, 4742, 513, 1732, 5856, 269, 1924, 1946, 711, 1491, 5413, 540, 2029, 543, 2972, 13167, 9735, 2984, 543, 16367, 3594, 2059, 519, 1259, 286, 8414, 1603, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 666, 3986, 707, 1603, 676, 3384, 5363, 2093, 543, 5955, 547, 1205, 596, 1394, 593, 3950, 2507, 308, 330, 19405, 2986, 18049, 569, 2507, 933, 3580, 3717, 827, 1018, 18049, 569, 568, 649, 3580, 3382, 922, 2934, 875, 621, 19776, 547, 824, 21882, 2645, 543, 952, 621, 779, 2731, 4502, 707, 2724, 1577, 779, 1205, 883, 621, 568, 513, 8239, 10992, 10992, 11963, 10992, 543, 17096, 10992, 1907, 782, 18202, 883, 835, 519, 5354, 540, 1004, 946, 621, 607, 513, 8239, 2638, 518, 454, 290, 4878, 707, 1603, 883, 519, 2985, 543, 1683, 519, 3896, 513, 7008, 540, 7643, 547, 960, 922, 9059, 269, 769, 3274, 513, 1906, 8090, 267, 519, 3301, 3498, 11974, 856, 267, 23607, 267, 543, 14319, 707, 1603, 563, 2252, 596, 723, 513, 2347, 543, 2347, 3561, 267, 596, 666, 3274, 14202, 621, 2786, 547, 519, 3896, 269, 631, 699, 569, 4945, 2048, 308, 22744, 685, 3079, 540, 2048, 6124, 8730, 4584, 513, 3561, 689, 707, 2780, 1062, 267, 543, 18049, 569, 786, 5659, 519, 1543, 538, 519, 1482, 1259, 563, 12234, 267, 596, 666, 1826, 2786, 883, 519, 18049, 569, 3135, 267, 543, 519, 1907, 786, 2638, 707, 1603, 607, 596, 979, 563, 273, 269, 30325, 9008, 813, 454, 1607, 568, 2009, 1700, 607, 1279, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 289, 4900, 518, 6987, 5014, 257, 607, 851, 540, 834, 28035, 1315, 5769, 1315, 5680, 645, 4900, 619, 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, 6637, 476, 272, 281, 634, 18903, 540, 27884, 910, 1323, 4985, 547, 7395, 673, 30527, 692, 5970, 596, 2479, 1224, 513, 1433, 610, 14478, 513, 7260, 602, 1500, 596, 3494, 538, 1945, 7543, 286, 9320, 621, 729, 513, 6158, 3662, 267, 610, 6148, 621, 729, 513, 1268, 609, 2027, 7060, 269, 901, 1826, 540, 9423, 568, 1572, 834, 332, 698, 673, 17779, 2437, 543, 621, 781, 950, 9059, 610, 32601, 2609, 616, 3769, 538, 513, 1650, 602, 6382, 7959, 1360, 1483, 780, 300, 698, 673, 17779, 568, 513, 2442, 9135, 538, 3332, 1317, 621, 2636, 721, 547, 1294, 519, 1158, 538, 513, 1007, 1259, 269, 898, 2591, 938, 4978, 827, 1018, 568, 2009, 543, 2306, 721, 1589, 7184, 827, 1271, 3584, 899, 2648, 267, 2530, 267, 3961, 267, 543, 811, 269, 2368, 4583, 4589, 945, 2328, 9589, 17779, 1331, 28792, 25661, 807, 3057, 4302, 345, 267, 1772, 8475, 2353, 29868, 267, 543, 9995, 571, 595, 529, 1676, 657, 780, 3080, 2601, 1946, 9589, 17779, 666, 581, 865, 3532, 568, 1317, 621, 1419, 9356, 519, 2833, 540, 1004, 4171, 2984, 5749, 1405, 2141, 5143, 538, 13416, 2923, 269, 3509, 4589, 945, 2328, 9589, 17779, 2097, 689, 5824, 1977, 610, 5053, 18702, 10080, 267, 543, 741, 1603, 14405, 2390, 2686, 5389, 543, 18691, 602, 949, 581, 14542, 547, 930, 3988, 269, 1635, 16471, 891, 2609, 609, 4207, 2152, 543, 5468, 267, 9589, 1483, 626, 4589, 1711, 10600, 602, 1745, 1312, 5432, 543, 28531, 693, 519, 1482, 942, 780, 3719, 2870, 513, 1825, 15344, 9589, 1483, 626, 1650, 3884, 1405, 2653, 256, 19536, 1590, 3666, 519, 9735, 543, 519, 27217, 267, 22805, 1927, 2609, 540, 4641, 543, 14810, 538, 513, 1259, 602, 7959, 15774, 543, 2067, 269, 769, 713, 3184, 267, 649, 3513, 2263, 930, 1883, 2553, 1031, 676, 9589, 1483, 626, 4589, 267, 607, 1134, 607, 4983, 930, 1806, 689, 5929, 1568, 540, 9589, 17779, 780, 20007, 1664, 1948, 272, 281, 12861, 5617, 773, 15344, 16992, 692, 12024, 1022, 1434, 1650, 267, 513, 3811, 960, 540, 9589, 17779, 2115, 8903, 3197, 602, 3988, 1416, 827, 269, 1809, 538, 513, 9589, 1483, 626, 1650, 267, 1346, 3197, 1522, 849, 4865, 8966, 5759, 610, 7237, 16750, 2621, 269, 1879, 10962, 891, 9058, 2609, 267, 621, 781, 1898, 547, 2666, 873, 538, 11541, 4664, 543, 18144, 780, 2690, 1383, 267, 2015, 519, 1915, 10507, 704, 24521, 689, 9995, 571, 595, 529, 1676, 657, 262, 3209, 834, 763, 5600, 593, 631, 24546, 9335, 1701, 2311, 1101, 16145, 267, 1352, 4667, 899, 606, 8723, 8004, 3395, 909, 538, 513, 2324, 11665, 8378, 269, 1717, 267, 607, 519, 1650, 22264, 267, 649, 1451, 602, 10507, 704, 24521, 814, 513, 2189, 10516, 1107, 1352, 666, 8038, 269, 901, 2702, 3085, 1405, 8915, 3294, 998, 1166, 553, 1506, 2027, 2360, 855, 2864, 998, 1200, 2620, 1279, 532, 585, 5191, 543, 9101, 689, 1200, 6381, 269, 5221, 649, 1174, 10507, 704, 24521, 781, 13821, 543, 9620, 267, 1200, 10760, 1379, 3587, 513, 3090, 540, 4126, 543, 7872, 267, 1818, 621, 782, 519, 811, 26374, 780, 12244, 281, 6056, 827, 707, 5172, 1433, 610, 7260, 1915, 269, 1548, 7907, 1118, 873, 4277, 543, 12300, 286, 1215, 1223, 596, 2285, 873, 513, 9589, 2702, 1247, 1869, 5329, 873, 16135, 538, 4641, 286, 3503, 513, 2110, 5037, 10503, 713, 1915, 543, 741, 16012, 13007, 780, 20007, 1664, 1948, 273, 281, 2349, 584, 2590, 519, 20514, 9737, 18712, 543, 26135, 692, 1103, 9589, 17779, 267, 519, 1899, 1063, 1018, 781, 1483, 543, 1018, 781, 16545, 568, 22393, 23324, 269, 1677, 3035, 713, 1198, 267, 4589, 1419, 6338, 9589, 2609, 7930, 267, 3850, 3988, 547, 7444, 3398, 519, 796, 29207, 15344, 607, 26363, 1369, 519, 2796, 540, 519, 1650, 780, 288, 1390, 1383, 540, 713, 4480, 2501, 689, 23718, 10507, 638, 633, 331, 781, 3209, 834, 12024, 4826, 585, 28688, 1701, 5590, 538, 6792, 1282, 519, 2038, 476, 736, 628, 2540, 267, 519, 1650, 5205, 570, 7534, 267, 513, 1762, 4807, 945, 25395, 1352, 666, 1102, 2224, 1200, 4664, 883, 519, 1426, 1352, 29397, 269, 1879, 570, 7534, 22316, 513, 8670, 1247, 4743, 7920, 18354, 267, 4896, 945, 22655, 621, 786, 1995, 2147, 28194, 269, 2755, 713, 1523, 1522, 3100, 2484, 1922, 564, 3481, 267, 10507, 638, 633, 331, 6799, 621, 865, 2339, 6361, 1922, 18075, 602, 3988, 3533, 3398, 621, 607, 851, 540, 519, 2239, 5958, 780, 12244, 281, 7994, 513, 1455, 1843, 610, 2534, 630, 324, 3052, 1421, 513, 15513, 267, 14964, 513, 11332, 1040, 3503, 513, 5618, 6429, 538, 799, 713, 6221, 610, 2962, 3217, 593, 9589, 3601, 269, 14674, 875, 519, 1689, 4386, 6923, 1369, 519, 2796, 540, 519, 1650, 780, 20007, 1664, 1948, 274, 281, 14301, 16270, 8836, 26492, 543, 23205, 16161, 692, 6624, 4589, 540, 9589, 17779, 2721, 6667, 689, 741, 2686, 6561, 267, 6220, 2757, 14868, 267, 17691, 267, 543, 6698, 883, 741, 6386, 269, 1452, 2609, 948, 1711, 3638, 569, 30305, 10600, 602, 13469, 609, 3988, 945, 2671, 2147, 10080, 1247, 5356, 10578, 4030, 585, 1346, 1447, 5432, 609, 519, 2528, 780, 3674, 8475, 2353, 29868, 781, 3209, 834, 763, 5600, 540, 519, 9454, 1080, 257, 2934, 3875, 8320, 540, 9589, 17779, 6537, 689, 16266, 534, 18691, 269, 1280, 3236, 267, 27262, 1642, 966, 4150, 267, 835, 540, 519, 1292, 3197, 267, 19299, 804, 1515, 341, 1195, 656, 5759, 15110, 689, 1200, 20516, 267, 513, 10934, 31866, 4095, 269, 10801, 519, 3209, 267, 27262, 3096, 1200, 13344, 547, 3391, 543, 2149, 1200, 1920, 267, 17923, 4798, 540, 6043, 543, 25872, 2066, 5481, 780, 12244, 281, 3194, 513, 12563, 9661, 610, 10828, 689, 513, 2528, 1114, 982, 707, 1378, 269, 10576, 1022, 9589, 610, 16750, 2609, 1369, 519, 1650, 269, 1215, 1223, 596, 6451, 891, 3344, 883, 513, 2413, 6377, 4259, 1247, 4509, 741, 3312, 4644, 286, 3503, 513, 1906, 5220, 28388, 707, 9862, 4528, 540, 519, 9661, 780, 6962, 1384, 300, 698, 673, 17779, 3091, 513, 9159, 11100, 540, 4641, 543, 14810, 267, 4101, 3988, 547, 4228, 741, 4337, 5209, 1247, 3695, 1950, 4798, 543, 4664, 269, 1635, 13215, 2553, 971, 607, 3384, 1825, 15344, 3197, 267, 20747, 2590, 519, 3515, 1063, 4641, 543, 5708, 267, 543, 5373, 2390, 2686, 5389, 267, 14971, 5830, 666, 4739, 22539, 8941, 602, 3560, 9458, 547, 1007, 10600, 4904, 609, 4898, 543, 7872, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 297, 4141, 10830, 3816, 20047, 7316, 1261, 595, 877, 3245, 630, 8512, 5565, 994, 20124, 15894, 281, 1744, 2033, 15182, 731, 454, 5649, 851, 835, 28313, 454, 2026, 25378, 5830, 616, 3168, 585, 513, 9589, 16886, 269, 1358, 13248, 936, 875, 3562, 2835, 267, 4945, 321, 7159, 4930, 267, 4351, 21075, 267, 10478, 585, 602, 835, 3364, 1765, 20813, 3305, 566, 602, 789, 2811, 3257, 713, 3364, 602, 27605, 873, 2476, 689, 2828, 267, 1920, 267, 2215, 8135, 8613 ]

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

[ 5982, 780, 3499, 7090, 454, 1721, 1775, 15590, 538, 2039, 3799, 15590, 2187, 825, 4266, 815, 1376, 318, 10277, 1341, 30220, 6745, 574, 539, 12265, 22607, 2293, 284, 8811, 337, 994, 825, 15820, 5091, 1122, 815, 533, 903, 6897, 4732, 6897, 10947, 318, 5306, 3363, 10857, 520, 267, 10693, 267, 4266, 994, 825, 952, 15820, 5091, 1122, 10922, 476, 271, 912, 1038, 5982, 815, 476, 271, 563, 825, 3116, 912, 1038, 5982, 815, 533, 903, 6897, 269, 2784, 2747, 10947, 318, 2784, 2747, 5091, 1311, 5560, 622, 267, 15820, 5091, 1122, 994, 825, 7389, 6910, 5560, 622, 994, 825, 31556, 5091, 1122, 6910, 263, 5306, 3363, 5091, 1122, 994, 825, 2234, 9911, 6910, 263, 2784, 2747, 994, 7884, 1103, 713, 8520, 267, 649, 616, 3257, 519, 1739, 1384, 272, 269, 29626, 519, 4266, 585, 1142, 5662, 563, 273, 269, 29626, 519, 15820, 540, 519, 3141, 585, 519, 2016, 20173, 267, 29978, 267, 543, 4266, 269, 634, 15820, 568, 519, 5086, 1063, 519, 3141, 543, 519, 16880, 269, 1403, 519, 15820, 568, 476, 271, 610, 1447, 267, 519, 3141, 568, 2630, 519, 16880, 267, 543, 972, 568, 1100, 5982, 563, 274, 269, 29626, 519, 5982, 585, 519, 2016, 15820, 269, 1403, 519, 15820, 568, 1657, 476, 271, 267, 649, 5173, 519, 1463, 5982, 689, 519, 3141, 563, 275, 269, 2561, 2056, 519, 4266, 267, 15820, 267, 543, 5982, 547, 741, 9757, 8638, 780, 7661, 267, 649, 786, 5173, 519, 1297, 540, 2395, 689, 519, 1297, 540, 3108, 780, 3499, 7090, 454, 17058, 815, 1496, 8811, 337, 270, 2190, 585, 1775, 15590, 538, 2039, 3799, 15590, 22708, 7884, 1607, 786, 2285, 721, 513, 1592, 540, 519, 1297, 540, 2395, 585, 1142, 5662, 780, 2162, 4825, 9506, 519, 11778, 692, 4263, 519, 1439, 540, 938, 1599, 267, 649, 786, 2132, 519, 2395, 267, 31556, 267, 2234, 9911, 267, 543, 7389, 780, 3499, 7090, 454, 8873, 2395, 267, 31556, 5091, 1122, 267, 2234, 9911, 267, 7389, 454, 7884, 1607, 786, 1450, 721, 547, 946, 519, 2164, 538, 824, 2694, 540, 938, 3009, 780, 1103, 713, 1770, 267, 649, 723, 4121, 875, 547, 5173, 3859, 5982, 585, 513, 2016, 1297, 540, 2395, 693, 513, 1808, 20173, 543, 29978, 269, 1284, 723, 1031, 5124, 547, 1104, 8021, 267, 6023, 942, 10851, 267, 960, 609, 7389, 543, 2053, 267, 543, 5173, 519, 5982, 269, 901, 568, 513, 4052, 3498, 540, 8193, 602, 666, 948, 721, 1174, 811, 827, 938, 1604, 543, 519, 1648, 649, 4309, 689, 519, 3141, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 328, 3512, 324, 16948, 796, 562, 14243, 1067, 334, 834, 333, 257, 632, 1412, 26444, 825, 1412, 323, 6403, 553, 513, 684, 533, 2863, 334, 679, 19448, 4234, 2595, 586, 1279, 2595, 15002, 3385, 630, 834, 26245, 2000, 517, 257, 1260, 334, 1166, 582, 656, 525, 264, 513, 851, 597, 632, 19448, 905, 15939, 632, 538, 545, 1470, 1412, 26444, 825, 1412, 257, 11034, 257, 635, 334, 11188, 552, 329, 6374, 334, 30220, 6155, 520, 8135, 263, 1001, 280, 267, 476, 272, 267, 476, 272, 267, 476, 279, 1040, 7055, 825, 1104, 533, 903, 6897, 454, 825, 1104, 7510, 16379, 454, 825, 1104, 30220, 692, 825, 942, 29773, 815, 7510, 16379, 28333, 29773, 2891, 25567, 320, 20324, 690, 7974, 5602, 825, 1376, 318, 10277, 815, 942, 29773, 7456, 5914, 1125, 263, 11034, 2020, 825, 1948, 12433, 5982, 1169, 5662, 585, 476, 18458, 2395, 454, 825, 562, 15590, 815, 476, 2190, 265, 333, 454, 825, 7389, 267, 31556, 5091, 1122, 267, 2234, 9911, 815, 1592, 19572, 1592, 19572, 1592, 4590, 825, 585, 1775, 15590, 538, 2039, 3799, 15590, 2187, 1038, 4266, 815, 1376, 318, 10277, 1341, 30220, 6745, 574, 539, 12265, 22607, 2293, 284, 8811, 337, 994, 1038, 15820, 5091, 1122, 815, 533, 903, 6897, 4732, 6897, 10947, 318, 5306, 3363, 10857, 520, 267, 10693, 267, 4266, 994, 1038, 952, 15820, 5091, 1122, 10922, 476, 271, 912, 2018, 5982, 815, 476, 271, 563, 1038, 3116, 912, 2018, 5982, 815, 533, 903, 6897, 269, 2784, 2747, 10947, 318, 2784, 2747, 5091, 1311, 5560, 622, 267, 15820, 5091, 1122, 994, 1038, 7389, 6910, 5560, 622, 994, 1038, 31556, 5091, 1122, 6910, 263, 5306, 3363, 5091, 1122, 994, 1038, 2234, 9911, 6910, 263, 2784, 2747, 2020, 825, 2395, 815, 1496, 8811, 337, 270, 2190, 585, 1775, 15590, 538, 2039, 3799, 15590, 264, 6540, 825, 2132, 2395, 267, 31556, 5091, 1122, 267, 2234, 9911, 267, 7389, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 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, 6092, 5149, 281, 11671, 322, 4321, 29407, 538, 5576, 16333, 692, 15916, 972, 256, 4653, 267, 649, 2811, 2469, 547, 1451, 827, 606, 4277, 1888, 1572, 5778, 322, 4321, 14317, 538, 18624, 269, 1411, 1522, 581, 11842, 1018, 782, 1346, 2462, 1913, 1611, 269, 5213, 1405, 5855, 282, 1577, 781, 2736, 621, 1524, 1927, 2439, 20058, 267, 938, 12058, 616, 5863, 8219, 3743, 585, 4543, 721, 1589, 267, 1745, 267, 1847, 267, 543, 1995, 519, 1158, 1472, 721, 269, 6884, 267, 1498, 267, 1945, 4422, 4636, 267, 543, 1004, 666, 1020, 2790, 1072, 2175, 899, 18624, 269, 901, 2783, 5540, 875, 2576, 14659, 267, 7959, 267, 543, 6544, 1161, 4641, 269, 1280, 1383, 267, 789, 1522, 5873, 9739, 602, 5749, 1405, 2731, 972, 267, 1634, 607, 17391, 11913, 26390, 5209, 780, 3086, 267, 4952, 596, 2811, 693, 1753, 6947, 547, 707, 5172, 5152, 267, 855, 10393, 267, 596, 1589, 596, 5873, 707, 3158, 10912, 707, 2012, 689, 1776, 4055, 269, 1809, 7227, 267, 1352, 781, 2965, 3544, 6158, 593, 1200, 6049, 256, 2334, 781, 2186, 540, 2147, 547, 1018, 4523, 609, 17391, 11913, 26390, 5209, 1107, 1152, 3079, 540, 6217, 1919, 602, 616, 1175, 2182, 547, 1118, 856, 267, 1004, 609, 18624, 1522, 5873, 2407, 5220, 610, 1256, 7391, 602, 1810, 1405, 2291, 269, 1452, 2833, 666, 581, 1360, 14845, 543, 1253, 7675, 585, 873, 780, 14722, 3494, 891, 26390, 5209, 1223, 1267, 689, 936, 5562, 2634, 4525, 1818, 834, 29674, 525, 257, 827, 1018, 781, 8345, 538, 519, 1158, 267, 1210, 1991, 2833, 543, 6788, 811, 982, 4890, 10444, 3403, 269, 1879, 713, 19261, 4386, 267, 2523, 1282, 17173, 3871, 267, 621, 949, 1291, 547, 11234, 10054, 827, 519, 2014, 540, 1978, 17915, 267, 4611, 538, 26390, 5209, 780, 2414, 948, 1004, 609, 18624, 4383, 741, 2589, 1732, 267, 3173, 723, 2919, 1585, 11257, 5059, 593, 5355, 5042, 3252, 267, 799, 1797, 2081, 938, 12058, 1184, 1344, 269, 1358, 1289, 713, 5778, 322, 4321, 14317, 269, 1635, 8026, 1114, 2553, 267, 2043, 666, 7794, 741, 5759, 547, 1445, 267, 3314, 1271, 3877, 267, 4194, 2042, 267, 543, 11883, 609, 4101, 3871, 269, 1306, 513, 22429, 267, 1565, 1007, 1983, 849, 2337, 2087, 1582, 12635, 543, 2949, 2298, 540, 1272, 2439, 2467, 3884, 1405, 2943, 513, 10826, 585, 18624, 267, 855, 998, 5571, 1382, 543, 5499, 5574, 899, 5778, 322, 4321, 14317, 267, 3744, 3136, 4466, 2081, 547, 1489, 1346, 4299, 676, 713, 1950, 2783, 269, 8625, 267, 649, 666, 3262, 4656, 543, 1620, 547, 1711, 513, 17321, 2104, 585, 3025, 2713, 609, 2790, 1072, 2591, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 295, 718, 1075, 5209, 267, 1519, 17391, 11913, 26390, 5209, 630, 16787, 295, 1070, 2049, 538, 1312, 519, 2635, 2551, 543, 538, 2618, 5328, 2175, 971, 607, 18624, 630, 21865, 3384, 1310, 513, 605, 323, 668, 531, 1974, 1040, 769, 1840, 267, 26390, 5209, 666, 581, 538, 8410, 3667, 630, 16269, 666, 581, 5812, 609, 519, 1604, 267, 971, 607, 950, 835, 26390, 7149, 519, 1439, 540, 513, 4845, 602, 814, 1044, 7368, 1082, 2053, 1070, 610, 856, 6361, 8410, 3667, 630, 7945, 607, 519, 29737, 26390, 5209, 2404, 609, 18624, 1040, 769, 3105, 960, 267, 649, 5189, 513, 2203, 540, 26390, 5209, 607, 7301, 630, 27168, 264, 31921, 1759, 593, 513, 630, 15812, 990, 3375, 1184, 264, 19862, 540, 3742, 23221, 269, 769, 713, 960, 267, 649, 8831, 713, 2203, 547, 1331, 1543, 1700, 1729, 30035, 519, 12985, 6127, 3297, 538, 268, 543, 856, 6361, 8410, 3667, 26390, 5209, 269, 769, 3742, 23221, 267, 10444, 1344, 568, 1031, 547, 771, 3711, 580, 10663, 4244, 19165, 827, 519, 3123, 540, 17915, 269, 11576, 800, 1344, 568, 7059, 1996, 1991, 4978, 267, 543, 950, 713, 3666, 568, 512, 5792, 538, 519, 3870, 540, 1991, 4978, 267, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 32507, 322, 4321, 29407, 538, 5576, 16333, 257, 607, 851, 540, 834, 25787, 1315, 5369, 31752, 1315, 5576, 16333, 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, 7170, 281, 4197, 1763, 7808, 12140, 281, 589, 5262, 2159, 3487, 540, 4516, 781, 3778, 692, 7072, 912, 5331, 1373, 3144, 2476, 689, 707, 1920, 543, 2366, 547, 2661, 538, 513, 1747, 1141, 596, 616, 711, 4847, 547, 3717, 707, 1893, 610, 2259, 707, 2528, 269, 901, 2731, 5949, 547, 1082, 7087, 1453, 2066, 4516, 585, 936, 513, 4627, 1296, 269, 1452, 4025, 941, 1572, 10821, 3506, 269, 2913, 781, 1451, 827, 713, 1271, 855, 4101, 3184, 538, 8225, 1686, 1927, 780, 4089, 476, 272, 281, 1548, 21518, 1763, 7808, 12140, 2496, 4910, 7808, 3506, 941, 27756, 3506, 602, 7142, 7087, 1453, 630, 5575, 8315, 267, 631, 18863, 529, 267, 543, 27478, 264, 547, 4734, 741, 3885, 543, 2950, 269, 1358, 1185, 547, 979, 972, 547, 1451, 827, 3864, 9821, 267, 4654, 267, 10764, 267, 543, 2081, 540, 2713, 269, 634, 2229, 543, 13039, 10443, 891, 3506, 547, 15849, 30968, 1107, 610, 11100, 1107, 7087, 9082, 883, 13416, 16402, 4211, 534, 6598, 2486, 269, 2667, 574, 7976, 5921, 1818, 873, 1589, 267, 957, 267, 543, 3494, 899, 3043, 13896, 269, 19759, 569, 267, 676, 3257, 865, 267, 621, 2144, 1078, 741, 1378, 2189, 9163, 267, 4529, 267, 543, 5389, 780, 4089, 476, 273, 281, 5020, 18738, 1763, 7808, 12140, 692, 16908, 3330, 10821, 3506, 729, 1419, 10792, 543, 7453, 269, 5753, 6170, 1034, 540, 741, 2395, 9674, 689, 741, 16254, 543, 2828, 269, 1358, 4553, 16131, 14095, 609, 26050, 267, 4081, 5049, 267, 3909, 10752, 267, 543, 2370, 1863, 942, 269, 11283, 531, 10751, 1107, 2168, 6057, 1107, 729, 1455, 950, 3214, 13264, 3652, 610, 12038, 741, 5065, 4654, 269, 3509, 11124, 3929, 543, 4638, 6057, 1932, 269, 5253, 729, 2356, 4057, 2298, 267, 3056, 547, 22926, 269, 29520, 3262, 3533, 1813, 547, 5667, 534, 3202, 2175, 269, 2353, 540, 891, 2188, 8329, 547, 513, 1164, 2669, 2557, 1851, 1053, 780, 4089, 476, 274, 281, 12186, 540, 1763, 7808, 12140, 692, 4910, 7808, 3506, 2451, 2620, 26711, 593, 5481, 540, 7087, 1004, 269, 18984, 643, 832, 4810, 8194, 267, 2530, 540, 3961, 267, 2686, 771, 28947, 267, 543, 5134, 6412, 2509, 6392, 5515, 269, 19198, 5185, 2591, 556, 6618, 532, 1310, 5756, 6306, 269, 18877, 17388, 17215, 1317, 9952, 4600, 941, 3144, 2476, 607, 1453, 269, 3955, 23400, 8194, 5170, 547, 1860, 7087 ]

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

[ 1978, 2179, 540, 3444, 27492, 267, 538, 602, 972, 616, 13677, 2197, 23929, 602, 1331, 1164, 1633, 2609, 607, 1134, 607, 1164, 1633, 16654, 2773, 23929, 799, 946, 21272, 6382, 2938, 538, 2197, 23929, 267, 855, 891, 616, 5266, 1906, 950, 519, 1079, 7544, 3029, 616, 2808, 1142, 607, 513, 2898, 2529, 22574, 880, 11951, 454, 9928, 2714, 880, 11951, 568, 519, 1808, 1305, 540, 5986, 5389, 267, 2853, 543, 32345, 2404, 609, 10430, 269, 898, 814, 10058, 10305, 543, 10346, 540, 922, 1378, 267, 855, 8843, 1454, 609, 9962, 3703, 543, 3864, 11951, 607, 513, 1267, 540, 2199, 543, 4914, 7506, 267, 1312, 3504, 543, 2413, 269, 12465, 13677, 8286, 2291, 7258, 3486, 1426, 560, 32332, 4547, 827, 676, 9194, 563, 9928, 582, 1633, 781, 2067, 561, 731, 518, 540, 3014, 267, 10683, 2472, 267, 3165, 267, 4829, 267, 543, 5388, 568, 519, 8783, 3815, 538, 2757, 29703, 5986, 267, 609, 513, 1164, 16126, 593, 16134, 543, 513, 3668, 540, 14546, 689, 13383, 267, 607, 891, 941, 13840, 4686, 543, 7199, 11053, 24397, 538, 10430, 454, 9928, 582, 1633, 568, 513, 1134, 31465, 15805, 10278, 267, 609, 9235, 3622, 1373, 3743, 585, 24569, 476, 1220, 267, 1822, 6009, 5631, 538, 519, 3028, 5823, 267, 609, 15805, 7836, 19011, 1645, 693, 11278, 275, 16818, 829, 1032, 269, 769, 476, 1001, 274, 267, 585, 1383, 267, 5177, 8436, 1500, 476, 1240, 269, 276, 2929, 11564, 547, 10430, 267, 9363, 476, 5038, 269, 276, 2929, 17334, 543, 7836, 11278, 274, 269, 278, 16818, 269, 769, 4334, 267, 18246, 7264, 1500, 476, 272, 269, 6812, 2929, 11564, 547, 10430, 267, 9363, 476, 1428, 2929, 17334, 543, 7836, 11278, 3199, 277, 332, 269, 769, 2474, 540, 18246, 8436, 267, 1346, 689, 519, 2136, 2276, 1500, 909, 476, 2190, 260, 540, 11564, 547, 10430, 267, 609, 519, 2136, 2276, 1373, 519, 4102, 2707, 540, 18246, 8436, 267, 543, 5125, 630, 280, 15992, 5333, 630, 279, 15992, 4516, 630, 278, 8472, 543, 5245, 630, 277, 15992, 1739, 3297, 2529, 20799, 1633, 568, 3622, 2938, 607, 513, 2973, 267, 796, 4944, 334, 2830, 10278, 609, 4190, 29278, 799, 814, 513, 1279, 543, 1950, 1686, 267, 5916, 609, 5215, 540, 8978, 4609, 543, 18845, 269, 1452, 1331, 22300, 6149, 10580, 267, 7555, 10007, 543, 19746, 20830, 267, 543, 1585, 27705, 6520, 267, 11635, 6520, 543, 12942, 6520, 3788, 269, 1703, 616, 849, 1082, 8978, 28151, 267, 8075, 267, 543, 6370, 3033, 338, 267, 21219, 543, 15882, 269, 3509, 1004, 616, 6537, 676, 519, 2528, 540, 10430, 563, 763, 4872, 540, 25470, 543, 29161, 616, 5051, 1373, 2938, 607, 513, 14421, 641, 13457, 4244, 547, 10430, 781, 24781, 267, 609, 8436, 1032, 5180, 267, 855, 519, 1292, 15805, 4005, 568, 3622, 689, 4989, 547, 5239, 8537, 269, 769, 1840, 547, 891, 2188, 267, 519, 3084, 15805, 8116, 267, 16731, 9928, 582, 1633, 267, 723, 18611, 513, 4640, 540, 13395, 6725, 267, 6322, 693, 29227, 267, 10838, 824, 1919, 267, 10430, 781, 9342, 538, 17075, 267, 10068, 543, 1426, 543, 4235, 9235, 269, 6271, 1713, 267, 543, 5051, 2442, 2601, 585, 9235, 547, 10430, 1765, 18034, 676, 1346, 689, 3345, 3013, 28934, 5444, 30688, 267, 609, 1082, 8436, 4947, 547, 10430, 547, 2263, 741, 1920, 543, 18577, 5072, 269, 10000, 4477, 569, 589, 320, 454, 10000, 4477, 569, 589, 320, 630, 610, 24505, 268, 3559, 268, 2465, 268, 16745, 282, 12777, 834, 10000, 10513, 1496, 21196, 316, 2353, 8442, 666, 3277, 547, 1022, 540, 12964, 3595, 15976, 4371, 12422, 538, 519, 2701, 339, 1633, 11866, 540, 10430, 267, 538, 519, 1647, 540, 5162, 547, 1665, 519, 1439, 540, 519, 586, 2544, 4005, 269, 634, 1292, 13037, 3322, 513, 1184, 542, 540, 909, 547, 513, 8536, 1368, 9088, 538, 700, 518, 19213, 543, 14320, 2539, 2338, 538, 519, 811, 6917, 15976, 267, 4646, 883, 2695, 6758, 945, 15292, 998, 519, 4884, 610, 8498, 538, 513, 3099, 540, 873, 539, 24853, 269, 769, 700, 518, 19213, 6690, 543, 2021, 616, 16934, 689, 10283, 607, 1368, 9088, 267, 5103, 5717, 538, 476, 1001, 279, 543, 476, 1001, 280, 563, 347, 1805, 919, 609, 3908, 347 ]

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

[ 27120, 945, 786, 3003, 519, 8003, 1354, 519, 10583, 1884, 923, 540, 10271, 609, 1164, 536, 992, 8219, 543, 3423, 1231, 269, 1656, 2417, 3467, 267, 538, 865, 2484, 607, 891, 9620, 941, 28703, 856, 540, 513, 2295, 325, 3881, 2648, 585, 4906, 543, 513, 7287, 547, 10847, 13924, 267, 4906, 729, 20938, 609, 741, 4816, 3268, 543, 21071, 945, 3802, 538, 519, 18930, 539, 2648, 540, 2441, 1332, 909, 883, 15657, 269, 1656, 713, 4422, 585, 782, 540, 721, 267, 2436, 649, 2811, 726, 9722, 856, 2025, 1728, 332, 985, 593, 513, 14440, 610, 1818, 513, 32219, 678, 3089, 639, 593, 513, 674, 2658, 563, 2791, 666, 1224, 519, 1101, 851, 540, 713, 2689, 1934, 563, 31388, 267, 5130, 476, 6734, 267, 476, 1001, 272, 454, 1103, 519, 2025, 519, 16860, 5717, 267, 24398, 269, 476, 276, 281, 1704, 2141, 5129, 513, 7986, 1909, 269, 769, 1018, 2631, 1281, 4906, 834, 995, 15640, 257, 519, 1876, 543, 519, 28556, 286, 1809, 519, 2262, 834, 995, 15640, 257, 568, 1945, 540, 513, 1883, 2165, 538, 15623, 781, 22258, 269, 634, 5259, 2262, 623, 6369, 312, 6938, 302, 568, 1031, 476, 1626, 2053, 538, 15623, 779, 22258, 267, 543, 538, 476, 1724, 540, 1346, 20825, 267, 15623, 3096, 519, 2262, 547, 4766, 875, 4906, 685, 1378, 3527, 610, 1913, 968, 995, 15640, 892, 1018, 729, 9275, 538, 519, 4521, 543, 11330, 515, 1206, 543, 13360, 902, 540, 519, 12355, 14644, 999, 281, 661, 3052, 269, 968, 3383, 782, 713, 729, 2944, 602, 621, 1522, 581, 24009, 799, 729, 9275, 676, 519, 7083, 998, 519, 22445, 2507, 892, 630, 300, 339, 269, 476, 272, 281, 2420, 267, 32647, 269, 476, 273, 281, 1428, 267, 476, 273, 281, 1704, 267, 476, 273, 281, 2537, 267, 476, 276, 281, 1704, 267, 476, 2918, 281, 7918, 267, 3092, 28593, 11693, 519, 1249, 602, 4906, 568, 12799, 543, 17697, 569, 556, 523, 716, 532, 519, 1650, 540, 5840, 267, 621, 1281, 711, 3100, 2693, 602, 15623, 1031, 713, 2262, 476, 1724, 2053, 18417, 269, 476, 1321, 568, 519, 1297, 540, 519, 11031, 540, 5840, 267, 543, 476, 1724, 5267, 602, 4906, 568, 519, 20106, 540, 519, 2025, 5840, 7132, 835, 269, 1261, 568, 5840, 543, 2943, 1945, 2484, 3152, 563, 3719, 952, 835, 4941, 547, 1174, 1018, 4906, 5921, 676, 711, 4947, 547, 6861, 519, 1876, 543, 519, 28556, 855, 2864, 814, 2097, 547, 834, 995, 15640, 257, 519, 1876, 543, 519, 28556, 267, 621, 4667, 899, 519, 1101, 1900, 1131, 581, 547, 798, 513, 9488, 608, 1122, 564, 673, 1353, 540, 782, 1346, 824, 3096, 269, 1879, 15623, 3081, 9478, 543, 6307, 781, 8184, 547, 5527, 568, 513, 834, 995, 15640, 618, 257, 540, 670, 846, 320, 781, 28897, 267, 834, 11073, 540, 5527, 267, 594, 723, 1572, 1250, 5067, 24222, 257, 649, 11129, 547, 1413, 693, 602, 834, 995, 15640, 618, 257, 952, 649, 1616, 547, 1174, 875, 4906, 3357, 547, 834, 995, 15640, 257, 519, 1876, 543, 519, 28556, 543, 711, 6861, 873, 563, 13731, 5733, 568, 782, 827, 519, 2648, 540, 2696, 585, 3571, 1004, 267, 585, 519, 1158, 267, 543, 952, 649, 1174, 713, 267, 938, 3210, 1590, 581, 2648, 585, 2696, 543, 585, 3571, 1004, 543, 585, 519, 1158, 563, 11990, 3081, 602, 7301, 28556, 723, 8854, 856, 883, 519, 1158, 267, 4904, 609, 519, 6891, 540, 1884, 747, 2077, 267, 945, 20912, 602, 2441, 814, 2097, 538, 519, 17145, 630, 272, 808, 333, 269, 476, 275, 281, 272, 268, 274, 1040, 1809, 1261, 945, 568, 538, 721, 568, 3152, 982, 646, 945, 568, 538, 519, 1158, 630, 275, 281, 275, 1040, 1656, 649, 666, 2995, 945, 1004, 4866, 547, 676, 519, 9739, 789, 6432, 547, 630, 275, 281, 276, 268, 277, 1040, 3627, 17938, 2176, 519, 5783, 547, 2648, 835, 1776, 1317, 713, 568, 519, 1665, 540, 519, 1272, 540, 2696, 281, 2696, 568, 2648, 630, 275, 281, 278, 268, 279, 1040, 8285, 543, 14914, 616, 519, 1390, 19183, 540, 519, 2648, 540, 2696, 630, 275, 281, 280, 268, 1015, 1070, 543, 950, 1004, 1205, 602, 267, 789, 2648, 835, 1776, 630, 275, 281, 1556, 1040, 901, 568, 1317, 1256, 1498, 1100, 835, 814, 2479, 2938, 2696, 267, 2696, 2729, 593, 3618, 538, 1004, 945, 723, 1044, 1266, 5285, 539, 538, 519, 2648, 540, 519, 12429, 543, 12312, 998, 519, 13336, 630, 275, 281, 1321, 268, 1691, 1040, 1284, 949, 711, 723, 2938, 2696, 267, 855, 649, 723, 2938, 543, 1449, 1518, 602, 519, 12429, 2366, 519, 12312, 630, 275, 281, 1321, 267, 476, 1691, 268, 1428, 1040, 1656, 713, 568, 1946, 607, 649, 2648, 13924, 543, 835, 1776, 267, 2696, 2729, 538, 721, 267, 865, 602, 968, 553, 1261, 568, 267, 865, 616, 649, 538, 713, 1158, 892, 630, 275, 281, 1626, 268, 1704, 1040, 634, 6587, 540, 2648, 568, 4250, 267, 543, 4250, 568, 18930, 539, 609, 10751, 630, 275, 281, 1240, 267, 32647, 269, 24398, 269, 476, 1839, 281, 5379, 1040, 1284, 798, 711, 2648, 13924, 856, 540, 4250, 855, 1317, 1261, 14560, 721, 630, 275, 281, 866, 1070, 543, 938, 2648, 540, 2696, 568, 8810, 676, 938, 2648, 585, 519, 1004, 1318, 538, 4395, 540, 721, 630, 275, 281, 736, 268, 2641, 1040, 634, 6169, 540, 8285, 568, 538, 938, 2648, 585, 2696, 538, 2441, 607, 1261, 568, 1459, 538, 1346, 1472, 721, 269, 901, 568, 1946, 3627, 568, 865, 5249, 909, 827, 519, 6891, 540, 1884, 747, 2077, 945, 3954, 625, 2441, 3357, 538, 519, 17145, 269, 769, 519, 1651, 28271, 649, 723, 2938, 2696, 676, 519, 1379, 540, 519, 13336, 267, 855, 3627, 6487, 602, 713, 1651, 7568, 908, 13336, 1705, 711, 9096, 950, 4906, 10841, 2105, 883, 13140, 269, 13298, 267, 602, 1482, 1651, 7568, 908, 267, 8285, 13336, 729, 23953, 856, 593, 782, 17145, 693, 19999, 1815, 739, 269, 2755, 4906, 568, 538, 13140, 538, 3571, 17145, 267, 519, 13336, 568, 1818, 13924, 1459, 1934, 538, 713, 1158, 538, 543, 998, 519, 17145, 540, 519, 25598, 563, 18455, 513, 4168, 1797, 1373, 513, 1167, 2118, 282, 621, 1797, 649, 723, 2451, 3388, 585, 4906, 938, 9457, 269, 1809, 938, 31112, 538, 519, 1234, 11526, 2245, 568, 547, 21467, 332, 3508, 1125, 519, 7214, 2427, 540, 2648, 267, 547, 519, 1033, 337, 2939, 540, 519, 1964, 540, 1480, 1995, 269, 1809, 519, 6574, 4971, 618, 568, 547, 2648, 2696, 609, 782, 602, 649, 616, 267, 711, 1175, 938, 8186, 630, 291, 339, 269, 476, 277, 281, 276, 267, 24398, 269, 476, 2420, 281, 4391, 1070, 543, 4906, 1202, 1235, 602, 15962, 13924, 568, 3844, 547, 1739, 13924, 630, 297, 333, 269, 476, 2641, 281, 1428, 268, 866, 1040, 6754, 13462, 1702, 267, 2648, 267, 543, 519, 4527, 540, 2696, 607, 1134, 630, 292, 874, 269, 476, 274, 281, 1704, 268, 866, 1040, 1656, 5469, 782, 519, 726, 584, 1023, 563, 26469, 26717, 909, 713, 6249, 538, 476, 273, 29833, 2103, 476, 276, 607, 1134, 1141, 646, 568, 8195, 21108, 1010, 1378, 22754, 543, 1028, 1005, 519, 29833, 2103, 540, 519, 5168, 540, 519, 22258, 269, 1656, 519, 3364, 602, 13462, 891, 1079, 568, 519, 13336, 540, 2696, 945, 568, 741, 10018, 630, 22396, 269, 476, 272, 808, 333, 269, 476, 275, 281, 1321, 268, 1724, 1040, 1656, 713, 13336, 568, 519, 2648, 540, 2441, 8903, 873, 543, 1818, 873, 3100, 21173, 630, 273, 4856, 269, 476, 276, 281, 1724, 268, 1691, 1040, 901, 1482, 13336, 533, 2293, 856, 1082, 1114, 13344, 267, 855, 621, 568, 519, 1482, 30442, 2648, 540, 519, 27076, 693, 960, 538, 782, 630, 272, 4856, 269, 476, 1321, 268, 1724, 1040, 4475, 267, 8285, 1797, 6616, 519, 2648, 540, 2696, 538, 2441, 543, 15962, 835, 1776, 630, 272, 808, 333, 269, 476, 275, 281, 280, 268, 1556, 1040, 0, 10345, 22268, 3633, 11553, 8577, 11555, 4041, 17955, 912, 273, 270, 273, 270, 1001, 273, 476, 276, 281, 5325, 281, 5392, 6751, 29643, 454, 347, 294, 1037, 670, 690, 4303, 910, 5845, 543, 3571, 21023, 687, 454, 309, 3041, 3951, 25723, 7034, 25492, 630, 16753, 811, 994, 9213, 267, 5988, 476, 273, 267, 476, 1001, 273, 568, 15722, 343, 338, 583, 1177, 2284, 5845, 781, 476, 14695, 628, 1322, 333, 739, 1709, 2336, 1607, 1554, 814, 1044, 9976, 538, 15722, 343, 338, 583, 1177, 2284, 2094, 476, 6642, 277, 563, 303, 684, 343, 338, 583, 1177, 2284, 5845, 568, 519, 1152, 3020, 4365, 20925, 2666, 32120, 269, 634, 1866, 616, 1175, 791, 739, 832, 563, 24589, 781, 12605, 568, 2953, 476, 1911, 260, 540, 519, 942, 267, 540, 1576, 2336, 2467, 814, 1152, 1044, 835, 15722, 343, 338, 583, 1177, 2284, 5845, 269, 1261, 814, 1044, 1818, 11236, 585, 936, 476, 10219, 1296, 2336, 303, 684, 343, 338, 583, 1177, 2284, 5845, 4991, 1010, 15325, 689, 6704, 519, 834, 601, 1460, 597, 540, 1272, 2437, 513, 5728, 11600, 269, 5845, 3217, 835, 521, 760, 1169, 4832, 693, 519, 16140, 32120, 20266, 5371, 543, 621, 4012, 1227, 3947, 1864, 5722, 811, 1296, 540, 1272, 563, 9336, 1032, 593, 5988, 476, 273, 267, 5845, 2501, 856, 540, 1010, 3276, 992, 593, 717, 984, 321, 2401, 781, 12928, 984, 910, 538, 4395, 540, 5215, 540, 13794, 689, 782, 936, 519, 1158, 910, 547, 3589, 519, 4365, 585, 519, 1964, 540, 5162, 563, 6097, 547, 10828, 267, 952, 15722, 343, 338, 583, 1177, 2284, 5845, 12034, 1010, 14692, 267, 972, 786, 581, 3670, 811, 4374, 540, 5162, 4365, 269, 1403, 646, 1281, 711, 1294, 1010, 14692, 267, 972, 786, 581, 606, 2038, 5614, 563, 5475, 5845, 19674, 689, 1010, 3276, 992, 593, 5988, 476, 273, 267, 646, 14753, 547, 519, 16140, 32120, 11833, 7022, 538, 834, 294, 1037, 32120, 3150, 257, 263, 320, 1893, 1152, 6956, 676, 519, 1699, 7022, 540, 519, 28740, 17781, 1040, 3571, 605, 17474, 568, 1287, 12261, 585, 519, 1158, 563, 14367, 11236, 616, 10691, 1634, 538, 4434, 563, 763, 2616, 766, 540, 16140, 32120, 4303, 3459, 609, 12425, 781, 9998, 13896, 269, 1358, 4547, 609, 873, 519, 10828, 540, 15443, 548, 5733, 4303, 267, 799, 2829, 267, 834, 2690, 607, 519, 3141, 31438, 593, 15443, 548, 5733, 4303, 267, 865, 2484, 786, 519, 6777, 2220, 20071, 538, 2904, 907, 4799, 303, 523, 11796, 781, 9998, 13896, 941, 16586, 543, 789, 1336, 513, 1390, 2179, 540, 2666, 327, 9233, 538, 1082, 2694, 540, 519, 1533, 269, 1358, 5462, 602, 519, 2666, 32120, 267, 23401, 519, 3864, 21963, 32120, 267, 729, 513, 1034, 10995, 543, 24534, 3662, 543, 4061, 4956, 602, 952, 519, 3141, 1705, 2408, 593, 5988, 476, 273, 526, 267, 865, 8797, 606, 3662, 607, 519, 2666, 32120, 1131, 1294, 922, 14692, 543, 31657, 1394, 883, 922, 11895, 1753, 585, 1776, 3670, 4374, 540, 5162, 563, 303, 684, 343, 338, 583, 1177, 2284, 4371, 922, 1101, 16140, 32120, 4303, 538, 519, 476, 5197, 271, 338, 269, 634, 1101, 4013, 3460, 547, 717, 984, 321, 2401, 781, 12928, 984, 729, 1500, 593, 5988, 476, 273, 267, 476, 6642, 278, 563, 303, 684, 343, 338, 583, 1177, 2284, 5845, 729, 3957, 1310, 3751, 22361, 760, 269, 13405, 547, 1373, 1572, 5845, 267, 646, 729, 1572, 5696, 262, 518, 16140, 32120, 563, 16100, 338, 899, 596, 991, 547, 1832, 1346, 25151, 267, 11058, 543, 17309, 856, 269, 5845, 4718, 1010, 14692, 2221, 267, 865, 5654, 899, 649, 786, 723, 3670, 811, 4374, 540, 5162, 563, 302, 24810, 15722, 343, 338, 583, 1177, 2284, 5845, 781, 3896, 281, 8940, 269, 3033, 32120, 3820, 454, 10303, 898, 781, 2353, 6168, 9358, 256, 543, 21744, 23126, 543, 2659, 5020, 585, 519, 14568, 454, 24082, 744, 310, 301, 2207, 25265, 19006, 912, 1262, 1411, 991, 547, 581, 513, 4759, 540, 594, 19447, 339, 944, 7901, 547, 6085, 269, 8437, 3371, 547, 1711, 1863, 2272, 563, 2005, 568, 1250, 1390, 8956, 547, 723, 519, 4960, 547, 1413, 998, 713, 1360, 8799, 543, 13181, 9708, 269, 901, 568, 1390, 282, 594, 2648, 621, 269, 594, 5660, 1018, 596, 616, 3257, 547, 22010, 938, 2872, 269, 3509, 7064, 585, 4687, 713, 609, 803, 269, 594, 993, 3168, 4464, 547, 811, 1651, 924, 995, 1344, 689, 596, 2336, 289, 1652, 902, 1299, 18370, 704, 640, 454, 293, 599, 8479, 12789, 8198, 347, 24030, 5816, 5162, 568, 1869, 1851, 721, 543, 649, 798, 723, 547, 1832, 3636, 922, 4411, 538, 27924, 2008, 347, 296, 1031, 547, 2661, 513 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3460, 998, 942, 267, 3695, 519, 4241, 1158, 540, 14364, 1686, 256, 4653, 267, 649, 786, 4685, 883, 875, 10236, 5505, 1353, 1114, 4529, 543, 1451, 827, 741, 7900, 6575, 5389, 269, 1284, 786, 946, 519, 1383, 540, 9299, 2478, 15781, 538, 4639, 4000, 547, 1174, 713, 1732, 780, 5331, 596, 616, 606, 10236, 6048, 899, 14529, 1638, 320, 661, 321, 1258, 267, 945, 6594, 22407, 1572, 17680, 1824, 538, 634, 717, 25995, 267, 513, 1507, 2197, 538, 4639, 4000, 269, 1452, 16805, 12372, 267, 1650, 339, 25527, 267, 543, 12206, 723, 1044, 4687, 8941, 543, 13465, 9299, 2478, 585, 5481, 256, 1358, 1780, 1524, 2984, 543, 1344, 827, 1004, 543, 2621, 998, 5152, 267, 5329, 8823, 9800, 543, 1818, 1007, 3283, 2059, 519, 1259, 780, 294, 686, 1824, 666, 2206, 9299, 2478, 585, 4896, 31539, 6705, 547, 15438, 256, 1879, 789, 2206, 2576, 781, 9299, 2478, 267, 789, 5031, 741, 18517, 267, 22838, 267, 7326, 267, 610, 11587, 269, 898, 781, 513, 4190, 2245, 602, 18791, 2146, 7554, 676, 14120, 2043, 1927, 269, 1809, 972, 781, 811, 982, 1175, 9913, 282, 891, 12644, 7866, 1271, 3344, 540, 1272, 538, 4639, 4000, 780, 3086, 1577, 781, 4952, 1776, 1747, 4448, 547, 713, 3638, 2686, 5385, 9789, 11908, 7256, 11866, 538, 519, 2136, 2276, 269, 1411, 1522, 4898, 1018, 6402, 6263, 634, 717, 25995, 547, 10195, 1055, 519, 25878, 5032, 540, 519, 7330, 286, 4270, 267, 621, 814, 1945, 547, 798, 609, 1346, 10707, 17680, 1824, 543, 519, 2856, 540, 1412, 339, 7211, 640, 9538, 692, 307, 7211, 640, 4016, 547, 3838, 2833, 1063, 4525, 2282, 519, 20337, 1141, 3636, 16374, 1711, 2147, 2371, 267, 2831, 267, 543, 2081, 540, 2713, 269, 4658, 689, 971, 4025, 1419, 1745, 5532, 1317, 789, 2671, 1455, 2591, 543, 3435, 1813, 547, 741, 1604, 269, 1924, 950, 20665, 20338, 941, 4547, 547, 3013, 5553, 3516, 267, 930, 1185, 8129, 538, 2127, 2673, 547, 17680, 582, 11182, 269, 1306, 513, 1267, 267, 2609, 540, 17680, 582, 2528, 14612, 2066, 519, 5836, 1932, 2439, 4002, 519, 11908, 7256, 11866, 267, 18939, 540, 20665, 4639, 20338, 6854, 9800, 2694, 540, 741, 6561, 267, 1519, 2575, 543, 9423, 2553, 24188, 540, 17680, 1824, 269, 1635, 4974, 1312, 6753, 267, 3173, 899, 6754, 715, 269, 29885, 948, 721, 1294, 4296, 1063, 1079, 9583, 20775, 9634, 593, 3047, 269, 5808, 6785, 602, 835, 1223, 1265, 16060, 540, 4639, 3979, 2773, 5389, 18955, 883, 1977, 9381, 2950, 2496, 2026, 2104, 5640, 267, 1620, 891, 3140, 15377, 2337, 22962, 938, 5380, 593, 2518, 4763, 269, 5457, 267, 1169, 7944, 540, 519, 1158, 3091, 2189, 13344, 17709, 540, 11812, 543, 11091, 269, 5901, 1565, 543, 3695, 1107, 945, 6487, 1018, 824, 5863, 8906, 24098, 721, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 18662, 540, 28299, 543, 7070, 454, 4537, 12976, 476, 1556, 268, 736, 540, 476, 2568, 11778, 454, 10112, 1539, 622, 7905, 540, 28668, 454, 27807, 25508, 1638, 320, 661, 321, 1258, 8678, 519, 8257, 538, 476, 1960, 273, 269, 661, 321, 1258, 568, 519, 2278, 540, 27400, 4000, 267, 513, 960, 1759, 593, 1200, 1382, 538, 634, 717, 25995, 602, 15244, 519, 4644, 540, 4639, 3979, 17192, 1606, 532, 619, 538, 30427, 13341, 269, 589, 2034, 1788, 6212, 593, 9341, 640, 543, 6237, 1143, 607, 621, 13218, 4639, 4000, 543, 519, 772, 2529, 269, 11908, 7256, 11866, 538, 513, 5188, 827, 5251, 267, 3965, 543, 2797, 10575, 3424, 269, 901, 1788, 568, 13886, 267, 834, 21430, 23427, 4000, 538, 519, 11908, 7256, 11866, 4799, 26469, 715, 269, 29885, 454, 25938, 1640, 17976, 337, 538, 519, 5358, 538, 3163, 267, 5303, 543, 5980, 454, 27807, 296, 6415, 10615, 540, 519, 5358, 593, 3163, 267, 5303, 1299, 5980, 630, 4306, 306, 264, 543, 513, 5261, 808, 269, 31473, 29533, 538, 4139, 8232, 693, 519, 4741, 585, 4139, 8232, 543, 29046, 693, 18628, 269, 594, 849, 1071, 1673, 1311, 519, 18628, 1401, 626, 1113, 24093, 19541, 609, 4515, 269, 19378, 700, 889, 344, 563, 296, 6415, 7905, 540, 6176, 543, 3778, 630, 28770, 7978, 264, 693, 519, 2160, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 831, 3778, 257, 607, 851, 540, 834, 16300, 13493, 1315, 30765, 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, 280, 269, 273, 8892, 19648, 538, 519, 5530, 540, 15932, 22948, 593, 28977, 543, 700, 3430, 1182, 692, 2026, 649, 9959, 713, 1837, 593, 4351, 3157, 593, 11708, 543, 22092, 1182, 267, 621, 568, 1271, 547, 2015, 519, 2104, 8846, 540, 713, 3078, 543, 6385, 9687, 2361, 269, 901, 3803, 3296, 786, 2263, 930, 540, 519, 1034, 9621, 2127, 540, 1382, 267, 607, 1134, 607, 930, 5571, 9840, 543, 27900, 269, 1284, 4126, 602, 676, 10223, 891, 3584, 267, 649, 666, 8300, 2417, 7634, 543, 6602, 1851, 938, 3988, 780, 306, 6312, 658, 8416, 5811, 454, 10900, 692, 3080, 1858, 540, 3395, 1719, 568, 8901, 3060, 2079, 267, 799, 3322, 4974, 875, 4351, 3157, 2170, 609, 1950, 1949, 11251, 538, 2230, 269, 1452, 1949, 1223, 581, 4376, 689, 6283, 5121, 547, 1514, 5121, 267, 543, 1620, 741, 2623, 814, 6286, 585, 4610, 8151, 689, 4683, 4058, 547, 27496, 780, 288, 3226, 3742, 1858, 540, 1382, 1369, 8901, 3060, 2079, 568, 519, 1353, 540, 829, 3712, 566, 593, 1483, 8996, 5121, 269, 2755, 1454, 540, 519, 2038, 960, 593, 829, 3712, 566, 729, 2944, 593, 2834, 22092, 1182, 267, 811, 2487, 2090, 723, 5059, 593, 12150, 5121, 971, 607, 1346, 1336, 538, 4872, 610, 2228, 2950, 269, 1635, 7421, 519, 14479, 3270, 540, 891, 5121, 267, 3173, 4126, 547, 2744, 4030, 883, 875, 3676, 3262, 267, 6808, 7575, 267, 543, 1344, 886, 4926, 998, 2230, 780, 5194, 9621, 4287, 568, 519, 1353, 540, 4351, 15211, 593, 1875, 7232, 16090, 22470, 5624, 267, 971, 607, 17208, 7252, 610, 7030, 9529, 269, 6348, 7232, 16090, 22470, 9511, 814, 1044, 1031, 547, 4766, 9259, 8151, 689, 519, 3337, 540, 519, 7122, 547, 519, 2497, 540, 5946, 267, 855, 2394, 5063, 2370, 3007, 1185, 1044, 6976, 547, 519, 1909, 540, 4351, 1145, 538, 891, 8658, 269, 10765, 960, 814, 3254, 602, 1082, 540, 519, 1482, 2553, 2919, 585, 28070, 5624, 666, 581, 6905, 547, 1875, 7232, 16090, 22470, 3283, 267, 6679, 909, 1007, 18817, 540, 3408, 780, 300, 22389, 4804, 543, 4578, 3163, 454, 29432, 1103, 2487, 1296, 267, 3684, 1565, 543, 1239, 2257, 723, 19117, 1082, 4610, 267, 1519, 6323, 543, 6128, 269, 634, 1353, 540, 4351, 3157, 593, 11708, 543, 22092, 1182, 568, 1100, 9868, 267, 607, 3173, 5051, 2490, 547, 6620, 543, 12985, 2409, 547, 5659, 1804, 14449, 780, 3080, 3498, 540, 3684, 1565, 547, 4351, 3157, 568, 519, 8446, 540, 5123, 13289, 538, 1950, 1949, 269, 12465, 4485, 7048, 593, 10763, 2553, 267, 799, 666, 581, 2352, 547, 4019, 547, 2935, 1229, 610, 12150, 1949, 269, 10724, 1565, 3631, 267, 2705, 267, 666, 1451, 3270, 538, 1239, 1510, 8763, 5528, 267, 1818, 873, 4998, 585, 7114, 11029, 2242, 538, 1062, 2623, 780, 5194, 1858, 1141, 3684, 1565, 2982, 9153, 568, 538, 519, 11191, 540, 32094, 3157, 269, 22757, 30408, 13502, 267, 799, 4125, 10451, 4351, 5439, 547, 16977, 3435, 267, 723, 1279, 1044, 606, 1898, 1907, 538, 519, 1353, 540, 4351, 3157, 269, 1717, 267, 789, 666, 581, 1939, 14260, 7199, 543, 942, 21791, 269, 10724, 1565, 6620, 666, 948, 7753, 891, 7687, 676, 17306, 10386, 2994, 543, 4227, 6846, 538, 20533, 1239, 780, 8601, 922, 1761, 267, 972, 616, 1869, 2591, 538, 7311, 3684, 1565, 547, 519, 1353, 540, 4351, 3157, 593, 11708, 543, 22092, 1182, 269, 2290, 2101, 3390, 568, 519, 3668, 540, 13042, 2866, 1239, 267, 799, 2306, 24892, 1565, 2352, 269, 12824, 616, 3695, 2081, 547, 5352, 10991, 1239, 610, 1020, 5667, 10967, 14876, 1565, 2553, 547, 2232, 713, 4161, 780, 21809, 6750, 8212, 543, 17438, 7869, 454, 14343, 7042, 4263, 519, 2295, 540, 519, 1353, 540, 4351, 3157, 593, 11708, 543, 22092, 1182, 6013, 8579, 6323, 543, 5506, 3069, 269, 1452, 6310, 10850, 1683, 519, 2645, 2556, 547, 1174, 543, 3589, 519, 2623, 540, 1950, 1949, 780, 13146, 8441, 538, 5506, 3069, 723, 3366, 547, 1007, 4030, 883, 519, 3601, 540, 4351, 11708, 543, 5121, 269, 9828, 971, 607, 3113, 7182, 267, 5385, 762, 4351, 11708, 267, 543, 4839, 4221, 3157, 723, 8774, 1769, 593, 519, 7293, 4162, 540, 891, 1949, 267, 13031, 5892, 7164, 18440, 4031, 543, 5203, 1275, 5049, 780, 19602, 267, 7835, 538, 8579, 11707, 723, 3177, 1007, 5380, 593, 8106, 2042, 971, 607, 519, 1772, 532, 2203, 543, 829, 3712, 566, 3069, 269, 10613, 971, 607, 556, 7538, 1436, 1895, 3069, 267, 14883, 531, 2361, 3069, 267, 543, 519, 13570, 1505, 723, 4847, 3173, 547, 10994, 2055, 2899, 2808, 703, 847, 762, 267, 3056, 547, 23484, 538, 938, 1620, 540, 2565, 9259, 543, 5123, 13289, 780, 4913, 267, 5103, 891, 7760, 267, 972, 2611, 1930, 2055, 543, 5667, 9407, 2042, 538, 1312, 5506, 3069, 543, 8579, 6323, 269, 2290, 8037, 1383, 568, 519, 918, 303, 313, 3830, 267, 799, 6257, 519, 2208, 540, 17103, 538, 1585, 2168, 1949, 269, 6736, 5756, 540, 4674, 267, 513, 2347, 3070, 547, 519, 918, 303, 313, 3830, 3788, 21792, 267, 543, 3356, 538, 713, 1858, 1131, 2693, 723, 2484, 23568, 4539, 585, 519, 1353, 540, 4351, 3157, 593, 11708, 543, 22092, 1182, 780, 6962, 454, 29603, 763, 1353, 540, 4351, 3157, 593, 11708, 543, 22092, 1182, 568, 513, 3638, 543, 3309, 2361, 267, 609, 4296, 547, 10459, 8151, 689, 2780, 2257, 547, 7350, 269, 1306, 649, 1413, 4724, 519, 2104, 267, 621, 568, 2312, 602, 972, 616, 1082, 3078, 3255, 585, 2417, 1382, 543, 1646, 269, 6787, 621, 581, 998, 8901, 3060, 2079, 267, 3684, 1565, 267, 610, 2757, 7811, 4485, 267, 519, 4947, 1296, 14767, 547, 3142, 1007, 8906, 543, 4030, 883, 519, 2470, 540, 6988, 543, 4351, 1145, 780, 2005, 568, 4502, 15663, 267, 2705, 267, 602, 609, 1022, 3621, 20089, 2501, 5539, 269, 1306, 3173, 267, 649, 1590, 11441, 547, 2327, 602, 938, 960, 5713, 711, 1152, 547, 4434, 938, 1378, 4690, 855, 849, 547, 4324, 2486, 693, 1804, 269, 901, 1797, 1373, 13533, 540, 519, 5683, 6286, 540, 938, 1382, 543, 2324, 547, 5968, 938, 4681, 5693, 543, 8308, 547, 519, 6626, 1857, 780, 4415, 713, 538, 2247, 267, 649, 5000, 782, 945, 1224, 713, 1837, 547, 6443, 721, 538, 519, 13287, 540, 1702, 543, 1620, 269, 8625, 267, 1577, 721, 3136, 547, 2263, 519, 4241, 1158, 540, 4351, 3157, 593, 11708, 543, 22092, 1182, 267, 5275, 4267, 547, 4909, 2055, 827, 519, 2470, 540, 4641, 3294, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 305, 24655, 22948, 593, 28977, 543, 700, 3430, 1182, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 15932, 15211, 2580, 834, 274, 269, 15379, 5121, 543, 8928, 2580, 834, 275, 269, 31538, 17364, 4054, 2580, 834, 276, 269, 623, 2075, 15684, 543, 1582, 268, 28300, 532, 15211, 2580, 834, 277, 269, 13555, 1184, 267, 28056, 2203, 267, 543, 519, 17181, 1184, 2580, 834, 278, 269, 1772, 532, 267, 8000, 1206, 267, 543, 15932, 4211, 331, 13831, 2203, 2580, 834, 279, 269, 15932, 11708, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 280, 269, 10390, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 280, 269, 272, 269, 12834, 540, 519, 1576, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 280, 269, 273, 269, 8892, 8846, 538, 519, 1353, 540, 4351, 3157, 593, 11708, 543, 22092, 1182, 1701, 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12722, 6807, 8419, 267, 519, 2136, 2276, 13108, 779, 13108, 22947, 23227, 566, 12243, 1500, 922, 1101, 1857, 5920, 693, 519, 18513, 19633, 779, 11428, 16008, 269, 589, 8184, 540, 1614, 1769, 2989, 717, 5300, 2006, 674, 277, 293, 268, 276, 18774, 13906, 25881, 267, 3366, 676, 20229, 2987, 16644, 1618, 31924, 2155, 6387, 20858, 3057, 4802, 966, 528, 529, 267, 24363, 513, 19939, 8792, 7098, 984, 1738, 2773, 563, 763, 2319, 1185, 1044, 4646, 585, 519, 3483, 540, 9870, 1857, 2797, 1489, 585, 519, 13108, 269, 4256, 25881, 941, 13556, 2949, 17953, 344, 4262, 4544, 609, 968, 308, 2529, 269, 715, 16787, 312, 892, 593, 519, 8034, 1088, 720, 538, 4154, 6978, 269, 589, 2582, 1003, 1968, 267, 849, 4154, 6978, 267, 593, 519, 7299, 1710, 4857, 1142, 1367, 20987, 563, 26668, 4374, 2663, 267, 476, 2641, 5147, 267, 519, 2319, 1131, 1101, 1289, 2933, 634, 9791, 4911, 1564, 563, 1103, 1840, 547, 31924, 2155, 6387, 966, 528, 529, 267, 824, 21804, 538, 519, 3312, 17431, 2319, 941, 31924, 2155, 6387, 32008, 717, 269, 4446, 333, 731, 267, 31924, 9253, 9109, 18706, 573, 344, 267, 31924, 21238, 570, 611, 1372, 334, 267, 31924, 24381, 823, 715, 269, 654, 1157, 754, 3326, 543, 31924, 630, 329, 3052, 4700, 717, 1446, 853, 1787, 563, 763, 717, 5300, 2006, 674, 277, 293, 268, 276, 18774, 13906, 568, 2582, 268, 2897, 267, 2582, 268, 19956, 25142, 2966, 2038, 538, 2622, 2782, 4083, 547, 7500, 689, 519, 772, 2529, 269, 13108, 779, 8484, 19057, 269, 898, 568, 513, 1970, 13617, 1395, 6955, 2033, 540, 782, 4496, 4070, 269, 634, 12209, 666, 581, 25649, 1996, 519, 5011, 540, 519, 8034, 1088, 720, 585, 4859, 20829, 519, 19057, 269, 8092, 532, 10591, 568, 6671, 267, 1427, 847, 762, 267, 543, 2882, 606, 10654, 532, 13622, 269, 634, 18774, 13906, 2968, 10512, 538, 476, 3707, 275, 563, 763, 674, 277, 293, 268, 276, 568, 476, 3451, 3952, 267, 476, 278, 6279, 630, 1015, 269, 26951, 7397, 264, 1279, 609, 513, 12209, 3966, 540, 476, 5655, 267, 3952, 476, 1015, 6279, 630, 1321, 269, 279, 5655, 7397, 264, 543, 2949, 4463, 540, 476, 1691, 3952, 267, 476, 276, 6279, 630, 275, 269, 4375, 275, 7397, 1040, 898, 814, 606, 8900, 2597, 540, 476, 280, 267, 24487, 6550, 630, 275, 267, 5002, 13532, 264, 543, 5021, 1491, 4752, 2597, 540, 476, 1428, 267, 4968, 6550, 630, 277, 267, 280, 2412, 13532, 1916, 763, 674, 277, 293, 268, 276, 18774, 13906, 568, 13324, 676, 513, 476, 273, 267, 3199, 275, 269, 275, 2275, 889, 545, 20878, 16162, 10293, 630, 3393, 269, 4817, 277, 2148, 264, 2011, 2275, 944, 539, 267, 2706, 12737, 539, 267, 2398, 3430, 1299, 18724, 2284, 17677, 654, 5684, 9399, 289, 273, 8566, 630, 305, 268, 18231, 271, 268, 1015, 310, 264, 18618, 268, 992, 476, 1240, 268, 1097, 331, 5407, 24293, 2599, 609, 1216, 13297, 269, 634, 2599, 1185, 609, 513, 13496, 5223, 540, 476, 277, 269, 4792, 281, 272, 543, 729, 15951, 693, 476, 272, 267, 20862, 7504, 12741, 693, 476, 273, 267, 20862, 678, 4877, 6230, 269, 693, 476, 2641, 267, 4335, 3952, 630, 277, 267, 4649, 274, 7397, 1070, 543, 476, 273, 267, 1822, 7504, 12741, 693, 476, 273, 267, 10384, 678, 4877, 6230, 269, 585, 1491, 4752, 269, 634, 2599, 22755, 513, 1614, 15918, 12184, 16803, 9208, 10281, 668, 1738, 3586, 18286, 4412, 11839, 609, 513, 8006, 540, 476, 1724, 3952, 267, 476, 272, 10759, 630, 274, 269, 280, 6434, 7397, 264, 998, 513, 476, 273, 281, 272, 10591, 5786, 269, 634, 681, 268, 18231, 271, 268, 1015, 729, 476, 275, 3952, 267, 476, 275, 269, 2004, 6279, 630, 272, 269, 31172, 7397, 264, 538, 8006, 267, 476, 278, 3952, 267, 476, 275, 269, 5325, 6279, 630, 273, 269, 26316, 7397, 264, 1279, 267, 543, 26693, 476, 273, 267, 21878, 6550, 630, 272, 267, 10219, 13532, 1070, 1142, 563, 763, 674, 277, 293, 268, 276, 1185, 513, 5021, 3432, 540, 476, 28510, 25418, 630, 28760, 5195, 829, 5662, 270, 276, 1556, 12919, 829, 5662, 264, 693, 7256, 5426, 543, 476, 20065, 25418, 630, 23884, 5195, 829, 5662, 270, 277, 1556, 12919, 829, 5662, 264, 693, 476, 2537, 267, 6110, 3952, 630, 278, 267, 15171, 7397, 1040, 634, 18774, 13906, 779, 3028, 18109, 729, 476, 3374, 267, 1911, 3952, 630, 1015, 269, 277, 7176, 7397, 264, 543, 621, 1185, 513, 8396, 8953, 540, 476, 279, 736, 562, 27658, 5195, 630, 280, 4510, 5195, 270, 272, 267, 31982, 12919, 1040, 634, 5021, 7542, 787, 2039, 568, 476, 272, 267, 20065, 562, 27658, 5195, 630, 272, 267, 276, 4029, 5195, 270, 273, 267, 5379, 274, 12919, 1916, 763, 18774, 13906, 779, 6186, 3512, 15538, 540, 3670, 645, 20621, 4888, 5336, 273, 1547, 2004, 23343, 9200, 3684, 15963, 267, 15841, 1614, 538, 1142, 13617, 267, 609, 476, 6110, 21448, 540, 993, 32099, 829, 7784, 563, 27001, 476, 3707, 273, 543, 476, 3707, 276, 267, 519, 717, 5300, 2006, 589, 7878, 7177, 15278, 267, 21861, 2457, 267, 1715, 3840, 267, 3710, 476, 1321, 267, 22550, 674, 277, 293, 18774, 322, 1846, 269, 901, 729, 519, 4102, 1297, 540, 1022, 8484, 1826, 3812, 676, 513, 2582, 2030, 563, 274, 4873, 476, 3707, 273, 281, 2311, 21554, 267, 8938, 26690, 772, 2529, 269, 13108, 623, 289, 312, 268, 276, 288, 18280, 2088, 29862, 17177, 1499, 9250, 689, 11068, 3118, 6816, 547, 3406, 585, 513, 5545, 18239, 799, 729, 4397, 547, 581, 16144, 4724, 519, 1977, 6532, 3490, 269, 2290, 540, 873, 267, 476, 4510, 6261, 268, 275, 267, 630, 31807, 269, 3143, 269, 476, 24699, 4029, 264, 26017, 676, 3416, 793, 4035, 749, 15053, 517, 12462, 31568, 14615, 1234, 573, 540, 4793, 1503, 8293, 611, 1258, 476, 4510, 630, 29262, 268, 4510, 1070, 8289, 539, 31288, 14780, 714, 334, 18000, 10440, 779, 11068, 3118, 20431, 566, 10414, 267, 476, 10384, 562, 27658, 5195, 630, 272, 267, 30640, 12919, 264, 7178, 540, 519, 693, 3326, 267, 16172, 1354, 476, 280, 281, 876, 513, 6230, 563, 763, 18280, 2088, 1085, 719, 539, 519, 10546, 4305, 3196, 267, 799, 789, 5156, 547, 581, 519, 968, 10852, 1560, 892, 540, 519, 5545, 18239, 543, 5925, 539, 1344, 1394, 547, 741, 3490, 269, 634, 4305, 3196, 15538, 540, 476, 272, 1769, 2267, 16014, 267, 476, 1321, 3560, 338, 8876, 476, 276, 267, 1822, 7980, 267, 476, 1556, 6861, 619, 267, 476, 273, 4262, 30350, 4043, 619, 267, 476, 272, 18239, 3282, 518, 543, 476, 275, 29862, 16996, 563, 763, 3117, 13521, 730, 623, 289, 312, 18280, 2088, 1500, 922, 1101, 8184, 593, 476, 2764, 4728, 476, 4350, 276, 267, 609, 8783, 1449, 12681, 5261, 645, 269, 5453, 520, 2917, 538, 4971, 269, 898, 729, 513, 18618, 268, 19956, 10760, 10935, 3812, 689, 476, 4350, 277, 547, 476, 3707, 276, 269, 898, 729, 8246, 5097, 607, 606, 4550, 6879, 6235, 543, 4550, 28175, 3405, 710, 29862, 17177, 828, 543, 585, 3406, 543, 15063, 4238, 563, 763, 623, 289, 312, 268, 276, 288, 729, 606, 19917, 1190, 14583, 9280, 609, 1427, 847, 762, 28886, 19564, 13941, 10591, 269, 898, 729, 476, 8287, 3952, 267, 476, 1015, 268, 278, 270, 1626, 6279, 1279, 630, 866, 269, 5379, 279, 7397, 264, 609, 513, 13617, 12732, 540, 476, 10441, 3952, 267, 476, 271, 6279, 630, 4029, 269, 277, 4200, 7397, 264, 543, 2949, 4463, 540, 476, 736, 3952, 267, 476, 273, 6279, 630, 277, 269, 15704, 7397, 1040, 634, 8934, 565, 13617, 729, 15841, 1657, 519, 8034, 1088, 720, 593, 513, 29765, 533, 14125, 543, 6462, 676, 2185, 5007, 25329, 269, 634, 13617, 814, 476, 277, 4113, 11841, 543, 519, 4099, 3296, 814, 1100, 1019, 14366, 610, 30908, 269, 634, 9018, 13617, 8440, 616, 7148, 1229, 269, 1703, 616, 1100, 1166, 2355, 269, 634, 2698, 13617, 1858, 568, 476, 272, 267, 6110, 4009, 3952, 630, 9873, 4009, 7397, 1040, 634, 623, 289, 312, 268, 276, 288, 1185, 606, 8900, 2597, 540, 476, 736, 267, 280, 1015, 6550, 630, 280, 267, 4366, 276, 13532, 1070, 543, 14407, 2597, 538, 29862, 12122, 540, 476, 3451, 267, 280, 4037, 6550, 630, 1428, 267, 30329, 13532, 1040, 4706, 5021, 1491, 4752, 2597, 630, 1633, 264, 729, 476, 3374, 267, 22213, 6550, 630, 1626, 267, 271, 5780, 13532, 1916, 763, 623, 289, 312, 268, 276, 288, 729, 13324, 676, 1079, 2011, 2275, 944, 539, 267, 2706, 12737, 539, 267, 476, 272, 267, 279, 3066, 269, 275, 2275, 889, 545, 20878, 16162, 10293, 630, 3066, 269, 7818, 2148, 264, 2398, 3430, 1299, 18724, 2284, 3828, 514, 654, 5684, 590, 272, 290, 274, 8566, 630, 305, 268, 8146, 271, 268, 10844, 264, 1079, 268, 992, 476, 1691, 268, 1097, 331, 5407, 24293, 9817, 269, 1452, 941, 15951, 693, 476, 272, 267, 1220, 7504, 12741, 693, 476, 273, 267, 10384, 678, 4877, 6230, 269, 693, 7256, 5426, 585, 1491, 4752, 269, 634, 5021, 6024, 12773, 585, 3339, 5106, 729, 476, 272, 267, 271, 2568, 7504, 12741, 693, 476, 273, 267, 20862, 678, 4877, 332, 1421, 909, 547, 476, 278, 267, 4335, 3952, 630, 273, 267, 30525, 7397, 1040, 634, 9817, 22755, 1614, 15918, 12184, 16803, 9208, 4175, 762, 1790, 3558, 4412, 25527, 609, 513, 476, 1321, 3723, 267, 476, 272, 10759, 630, 274, 269, 6924, 274, 11281, 264, 8006, 998, 513, 476, 1626, 281, 280, 10591, 5786, 269, 634, 681, 268, 8146, 271, 268, 10844, 568, 476, 4366, 269, 866, 6279, 630, 272, 269, 23470, 7397, 264, 1279, 267, 476, 8618, 269, 6858, 6279, 630, 272, 269, 276, 5780, 7397, 264, 538, 8006, 267, 543, 22179, 476, 272, 267, 275, 4792, 6550, 630, 277, 4792, 13532, 1916, 763, 623, 289, 312, 268, 276, 288, 18280, 2088, 1185, 513, 23593, 3432, 540, 476, 14862, 5195, 829, 5662, 630, 1220, 12919, 829, 5662, 1040, 4706, 5021, 3432, 729, 476, 15433, 5195, 829, 5662, 630, 26604, 12919, 829, 5662, 264, 693, 7256, 5426, 543, 476, 9692, 5195, 829, 5662, 630, 25971, 12919, 829, 5662, 264, 693, 476, 278, 267, 1822, 3952, 630, 273, 267, 16328, 7397, 1040, 634, 3028, 18109, 729, 476, 1691, 267, 10384, 3952, 630, 275, 267, 4366, 272, 7397, 264, 543, 5021, 2039, 729, 476, 273, 267, 276, 3393, 5195, 630, 275, 269, 6021, 277, 12919, 264, 693, 476, 14056, 5195, 829, 5662, 630, 6642, 12919, 829, 5662, 28593, 763, 29862, 17177, 828, 1223, 4163, 476, 275, 267, 1822, 6550, 630, 272, 267, 279, 1691, 13532, 264, 540, 23038, 610, 3178, 10997, 267, 610, 1079, 8731, 6244, 3996, 593, 2182, 9557, 896, 922, 13617, 269, 5565, 645, 20621, 631, 273, 1547, 1789, 23343, 9200, 2011, 2275, 944, 539, 3684, 15963, 941, 15841, 538, 513, 9224, 2881, 4958, 609, 476, 273, 267, 1911, 21448, 540, 993, 32099, 269, 589, 3791, 1547, 1789, 23343, 9200, 3684, 7784, 729, 17479, 538, 513, 5887, 1537, 24011, 609, 476, 4335, 21448, 540, 993, 32099, 269, 5565, 645, 20621, 4888, 5336, 273, 1547, 2004, 23343, 9200, 5230, 3684, 15963, 941, 15841, 538, 519, 22765, 609, 476, 276, 4281, 21448, 540, 993, 32099, 829, 7784, 563, 274, 267, 25134, 3117, 13521, 730, 623, 289, 312, 18280, 2088, 779, 941, 3710, 267, 540, 799, 476, 26764, 941, 519, 623, 289, 312, 268, 276, 288, 14583, 269, 769, 1840, 547, 2136, 2276, 3028, 267, 1082, 824, 2477, 13234, 519, 18280, 2088, 1282, 543, 1310, 2622, 2782, 4083, 269, 634, 2063, 623, 289, 312, 538, 772, 2529, 269, 3028, 729, 513, 623, 289, 312, 268, 277, 288, 799, 729, 19622, 476, 274, 5130, 476, 4198, 278, 563, 1789, 2904, 476, 3707, 273, 281, 634, 645, 27739, 645, 268, 1704, 293, 674, 2391, 10783, 816, 2306, 922, 1101, 8184, 269, 645, 268, 1704, 293, 268, 272, 5174, 302, 476, 6078, 268, 25838, 2412, 729, 519, 1101, 540, 513, 1007, 3126, 540, 519, 4583, 2622, 2782, 4083, 17177, 828, 269, 2755, 11617, 2147, 547, 519, 645, 268, 1704, 292, 267, 621, 1185, 811, 982, 476, 6110, 9283, 1759, 593, 2038, 29053, 1995, 609, 519, 645, 268, 1704, 291, 543, 645, 268, 1704, 292, 563, 763, 645, 27739, 645, 268, 1704, 293, 674, 2391, 10783, 816, 729, 513, 2185, 268, 19956, 5230, 17177, 828, 13234, 676, 513, 8184, 12284, 540, 4557, 269, 898, 729, 476, 10619, 3952, 267, 476, 279, 269, 3445, 6279, 630, 2420, 269, 4281, 272, 7397, 264, 1279, 609, 513, 12209, 3966, 540, 476, 9818, 3952, 267, 476, 280, 269, 23841, 6279, 630, 4029 ]

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

[ 263, 17092, 16800, 1070, 1883, 815, 25754, 1535, 281, 703, 3287, 314, 271, 25818, 9258, 476, 815, 6936, 3418, 825, 1250, 12803, 815, 1930, 2891, 22117, 518, 4580, 17902, 2580, 834, 342, 14744, 825, 1535, 815, 476, 271, 1477, 825, 1247, 1535, 2999, 3259, 6769, 1038, 586, 815, 834, 834, 269, 21860, 22829, 9285, 20572, 29573, 1038, 1820, 12169, 267, 3758, 815, 1250, 12803, 3418, 1038, 1535, 6834, 476, 272, 1477, 825, 1250, 12803, 25379, 14052, 825, 5426, 318, 10574, 31476, 3698, 5426, 318, 10574, 28399, 825, 2518, 5890, 1477, 825, 2518, 7665, 22091, 1477, 825, 2518, 5426, 1477, 825, 2518, 5426, 22479, 1477, 825, 5426, 22479, 815, 476, 1015, 1477, 825, 5426, 815, 1193, 263, 25583, 3418, 825, 952, 5426, 2652, 834, 271, 257, 6769, 1038, 7665, 22091, 815, 476, 1015, 1477, 825, 8640, 5426, 2652, 834, 272, 257, 6769, 1038, 7665, 22091, 815, 476, 1839, 1477, 825, 8640, 5426, 2652, 834, 273, 257, 6769, 1038, 7665, 22091, 815, 476, 2004, 1477, 825, 8640, 5426, 2652, 834, 274, 257, 6769, 1038, 7665, 22091, 815, 476, 4037, 1477, 825, 8640, 5426, 2652, 834, 275, 257, 6769, 1038, 7665, 22091, 815, 476, 1911, 1477, 825, 8640, 5426, 2652, 834, 276, 257, 6769, 1038, 7665, 22091, 815, 476, 5611, 1477, 825, 8640, 5426, 2652, 834, 277, 257, 6769, 1038, 7665, 22091, 815, 476, 1220, 1477, 825, 8640, 5426, 2652, 834, 278, 257, 6769, 1038, 7665, 22091, 815, 476, 7742, 1477, 825, 8640, 5426, 2652, 834, 279, 257, 6769, 1038, 7665, 22091, 815, 476, 4968, 1477, 825, 8640, 5426, 2652, 834, 280, 257, 6769, 1038, 7665, 22091, 815, 476, 6110, 1477, 825, 8640, 5426, 2652, 834, 1015, 257, 6769, 1038, 7665, 22091, 815, 476, 4335, 1477, 825, 8640, 5426, 2652, 834, 16655, 257, 6769, 1038, 7665, 22091, 815, 834, 16655, 29177, 825, 3116, 6769, 1038, 1820, 2891, 13286, 267, 681, 4479, 532, 14744, 1038, 5426, 318, 10574, 14052, 825, 6301, 318, 29878, 31476, 3698, 6301, 318, 29878, 28399, 825, 2518, 5426, 1477, 825, 2518, 5890, 1477, 825, 2518, 7665, 22091, 1477, 825, 2518, 7108, 1477, 825, 7665, 22091, 18360, 815, 1193, 263, 16655, 22091, 3418, 825, 1820, 2891, 8702, 547, 519, 1292, 13398, 3593, 10590, 3418, 825, 1820, 2891, 1805, 1846, 281, 14744, 825, 1820, 2891, 25583, 24333, 25583, 3418, 825, 952, 5426, 11203, 834, 16655, 257, 6769, 1038, 1820, 2891, 22091, 24333, 22091, 266, 257, 270, 257, 266, 16655, 22091, 18360, 3418, 825, 3116, 6769, 1038, 1820, 2891, 22091, 281, 7665, 14744, 825, 1820, 2891, 20112, 24333, 20112, 3418, 825, 1820, 2891, 14483, 570, 3696, 12232, 14744, 825, 1820, 2891, 268, 11545, 12694, 14744, 825, 1820, 2891, 268, 26064, 4580, 14744, 825, 1820, 2891, 268, 10632, 14744, 825, 1820, 2891, 268, 19255, 14744, 825, 1820, 2891, 268, 1401, 527, 14744, 825, 5775, 815, 3403, 2891, 14744, 825, 5775, 815, 5775, 31573, 14052, 825, 952, 5775, 2652, 834, 323, 2905, 2591, 257, 6769, 1038, 1820, 2891, 306, 2056, 596, 547, 519, 3232, 2591, 1631, 14744, 1038, 11545, 318, 29936, 14052, 825, 8640, 5775, 2652, 834, 548, 14575, 4580, 257, 6769, 1038, 1820, 2891, 306, 2056, 596, 547, 519, 6205, 4580, 3296, 1631, 14744, 1038, 26064, 4580, 14052, 825, 8640, 5775, 2652, 834, 31521, 257, 6769, 1038, 1820, 2891, 306, 2056, 596, 547, 519, 3756, 3296, 1631, 14744, 1038, 10632, 14052, 825, 8640, 5775, 2652, 834, 3333, 641, 257, 6769, 1038, 1820, 2891, 306, 2056, 596, 547, 519, 6300, 1631, 14744, 1038, 19255, 14052, 825, 8640, 5775, 2652, 834, 1410, 527, 257, 6769, 1038, 1820, 2891, 14294, 532, 856, 1631, 267, 1434, 25742, 14744, 1038, 16718, 31476, 3698, 11545, 318, 29936, 28399, 825, 1104, 942, 1477, 825, 2518, 14871, 1477, 825, 952, 14871, 2652, 834, 3849, 2381, 257, 6769, 1038, 16710, 815, 3403, 2891, 5649, 267, 3503, 610, 19268, 286, 834, 3418, 1038, 16710, 815, 16710, 31573, 14052, 1038, 952, 16710, 2652, 834, 1348, 257, 6769, 2018, 1250, 12803, 815, 1930, 2891, 29936, 17902, 14824, 337, 14744, 2018, 782, 318, 6050, 815, 1250, 12803, 18667, 6050, 14052, 2018, 7420, 272, 815, 782, 318, 6050, 314, 271, 15947, 2018, 7420, 273, 815, 782, 318, 6050, 314, 272, 15947, 2018, 7420, 274, 815, 782, 318, 6050, 314, 273, 15947, 2018, 1250, 12803, 25379, 1477, 2018, 7420, 272, 815, 7420, 272, 14714, 8692, 14052, 2018, 7420, 273, 815, 7420, 273, 14714, 8692, 14052, 2018, 7420, 274, 815, 7420, 274, 14714, 8692, 14052, 2018, 1820, 263, 20806, 3188, 272, 3418, 2018, 1820, 263, 20806, 3188, 273, 3418, 2018, 1820, 263, 20806, 3188, 274, 3418, 2018, 942, 4732, 2748, 263, 276, 3418, 2018, 1247, 14840, 2652, 476, 271, 6769, 3546, 18452, 815, 3403, 2891, 3269, 25898, 596, 899, 547, 979, 1394, 547, 519, 834, 29878, 257, 610, 834, 14294, 4934, 257, 5727, 3418, 3546, 18452, 815, 18452, 31573, 14052, 3546, 952, 18452, 2652, 834, 327, 889, 257, 6769, 7386, 14840, 815, 476, 272, 1477, 3546, 8640, 18452, 2652, 834, 338, 793, 856, 257, 6769, 7386, 14840, 815, 476, 272, 1477, 3546, 3116, 6769, 7386, 1820, 2891, 4462, 4385, 18452, 267, 2119, 1586, 14744, 2018, 952, 18452, 2652, 834, 327, 889, 257, 6769, 3546, 1820, 2891, 14744, 3546, 6301, 318, 29878, 14052, 2018, 8640, 18452, 2652, 834, 338, 793, 856, 257, 6769, 3546, 16718, 14052, 1038, 8640, 16710, 2652, 834, 31095, 257, 6769, 2018, 14840, 815, 476, 271, 1477, 2018, 1250, 12803, 815, 1930, 2891, 291, 2905, 318, 29936, 17902, 14824, 320, 266, 14744, 2018, 1247, 14840, 2652, 476, 271, 6769, 3546, 18452, 815, 3403, 2891, 1432, 7420, 1131, 596, 899, 547, 1039, 286, 834, 3418, 3546, 1820, 263, 19152, 267, 3758, 815, 1250, 12803, 3418, 3546, 6744, 815, 3403, 2891, 30524, 596, 899, 547, 1039, 1776, 4161, 286, 834, 3418, 3546, 6744, 815, 2638, 31573, 14052, 3546, 952, 6744, 2652, 834, 13433, 257, 6769, 7386, 1820, 2891, 302, 10798, 14744, 3546, 8640, 6744, 2652, 834, 7224, 257, 6769, 7386, 1820, 2891, 302, 10798, 645, 1601, 14744, 7386, 14840, 815, 476, 272, 1477, 3546, 3116, 6769, 7386, 1820, 2891, 4462, 4385, 18452, 267, 5225, 2119, 1586, 14744, 1038, 8640, 16710, 2652, 834, 637, 564, 257, 6769, 2018, 1104, 4351, 1477, 2018, 1295, 815, 476, 271, 1477, 2018, 3193, 815, 476, 278, 1477, 2018, 595, 272, 815, 4351, 27110, 263, 2381, 267, 10946, 3418, 2018, 595, 273, 815, 4351, 27110, 263, 2381, 267, 10946, 3418, 2018, 595, 274, 815, 4351, 27110, 263, 2381, 267, 10946, 3418, 2018, 1250, 12803, 815, 1930, 2891, 291, 2905, 318, 29936, 17902, 14824, 337, 14744, 2018, 782, 318, 6050, 815, 1250, 12803, 18667, 6050, 14052, 2018, 952, 595, 272, 2652, 476, 271, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 271, 15947, 2018, 8640, 595, 272, 2652, 476, 272, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 272, 15947, 2018, 8640, 595, 272, 2652, 476, 273, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 273, 15947, 2018, 8640, 595, 272, 2652, 476, 274, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 274, 15947, 2018, 8640, 595, 272, 2652, 476, 275, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 275, 15947, 2018, 8640, 595, 272, 2652, 476, 276, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 276, 15947, 2018, 8640, 595, 272, 2652, 476, 277, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 277, 15947, 2018, 8640, 595, 272, 2652, 476, 278, 6769, 3546, 7420, 272, 815, 782, 318, 6050, 314, 278, 15947, 2018, 3116, 6769, 3546, 1820, 2891, 4462, 4385, 18438, 14744, 2018, 952, 595, 273, 2652, 476, 271, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 271, 15947, 2018, 8640, 595, 273, 2652, 476, 272, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 272, 15947, 2018, 8640, 595, 273, 2652, 476, 273, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 273, 15947, 2018, 8640, 595, 273, 2652, 476, 274, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 274, 15947, 2018, 8640, 595, 273, 2652, 476, 275, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 275, 15947, 2018, 8640, 595, 273, 2652, 476, 276, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 276, 15947, 2018, 8640, 595, 273, 2652, 476, 277, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 277, 15947, 2018, 8640, 595, 273, 2652, 476, 278, 6769, 3546, 7420, 273, 815, 782, 318, 6050, 314, 278, 15947, 2018, 3116, 6769, 3546, 1820, 2891, 4462, 4385, 18438, 14744, 2018, 952, 595, 274, 2652, 476, 271, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 271, 15947, 2018, 8640, 595, 274, 2652, 476, 272, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 272, 15947, 2018, 8640, 595, 274, 2652, 476, 273, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 273, 15947, 2018, 8640, 595, 274, 2652, 476, 274, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 274, 15947, 2018, 8640, 595, 274, 2652, 476, 275, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 275, 15947, 2018, 8640, 595, 274, 2652, 476, 276, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 276, 15947, 2018, 8640, 595, 274, 2652, 476, 277, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 277, 15947, 2018, 8640, 595, 274, 2652, 476, 278, 6769, 3546, 7420, 274, 815, 782, 318, 6050, 314, 278, 15947, 2018, 3116, 6769, 3546, 1820, 2891, 4462, 4385, 18438, 14744, 2018, 1250, 12803, 25379, 1477, 2018, 7420, 272, 815, 7420, 272, 14714, 8692, 14052, 2018, 7420, 273, 815, 7420, 273, 14714, 8692, 14052, 2018, 7420, 274, 815, 7420, 274, 14714, 8692, 14052, 2018, 1250, 12803, 815, 1930, 2891, 29936, 17902, 14824, 342, 14744, 2018, 1820, 263, 20806, 3188, 272, 267, 12803, 815, 1250, 12803, 3418, 2018, 1820, 263, 20806, 3188, 273, 267, 3758, 815, 1250, 12803, 3418, 2018, 1820, 263, 20806, 3188, 274, 267, 3758, 815, 1250, 12803, 3418, 2018, 1250, 12803, 25379, 1477, 2018, 1820, 2891, 763, 1007, 2591, 616, 281, 14744, 2018, 1820, 263, 20806, 3188, 272, 3418, 2018, 1820, 263, 20806, 3188, 273, 3418, 2018, 1820, 263, 20806, 3188, 274, 10142, 825, 8640, 14871, 11203, 834, 3849, 2381, 257, 6769, 1038, 14840, 815, 476, 271, 1477, 1038, 1250, 12803, 815, 1930, 2891, 29936, 17902, 14824, 337, 14744, 1038, 782, 318, 6050, 815, 1250, 12803, 18667, 6050, 14052, 1038, 7420, 272, 815, 782, 318, 6050, 314, 271, 15947, 1038, 7420, 273, 815, 782, 318, 6050, 314, 272, 15947, 1038, 7420, 274, 815, 782, 318, 6050, 314, 273, 15947, 1038, 7420, 272, 815, 7420, 272, 14714, 8692, 14052, 1038, 7420, 273, 815, 7420, 273, 14714, 8692, 14052, 1038, 7420, 274, 815, 7420, 274, 14714, 8692, 14052, 1038, 1250, 12803, 25379, 1477, 1038, 1820, 2891, 763, 1007, 2591, 616, 281, 14744, 1038, 1820, 263, 20806, 3188, 272, 3418, 1038, 1820, 263, 20806, 3188, 273, 3418, 1038, 1820, 263, 20806, 3188, 274, 3418, 1038, 942, 4732, 2748, 263, 276, 3418, 1038, 1247, 14840, 2652, 476, 271, 6769, 2018, 18452, 815, 3403, 2891, 3269, 25898, 596, 899, 547, 979, 1394, 547, 519, 834, 29878, 257, 610, 834, 14294, 4934, 257, 5727, 3418, 2018, 18452, 815, 18452, 31573, 14052, 2018, 952, 18452, 2652, 834, 327, 889, 257, 6769, 3546, 14840, 815, 476, 272, 1477, 2018, 8640, 18452, 2652, 834, 338, 793, 856, 257, 6769, 3546, 14840, 815, 476, 272, 1477, 2018, 3116, 6769, 3546, 1820, 2891, 4462, 4385, 18452, 267, 2119, 1586, 14744, 1038, 952, 18452, 2652, 834, 327, 889, 257, 6769, 2018, 1820, 2891, 14744, 2018, 6301, 318, 29878, 14052, 1038, 8640, 18452, 2652, 834, 338, 793, 856, 257, 6769, 2018, 16718, 14052, 825, 3116, 6769, 1038, 1820, 2891, 8005, 616, 596, 286, 10590, 10142, 3698, 26064, 4580, 28399, 825, 1104, 942, 1477, 825, 1250, 12803, 815, 1930, 2891, 22117, 518, 4580, 17902, 14824, 337, 14744, 825, 782, 318, 6050, 815, 1250, 12803, 18667, 6050, 14052, 825, 1535, 815, 476, 271, 1477, 825, 1247, 1535, 2999, 7003, 263, 718, 318, 6050, 8029, 1038, 782, 318, 6050, 20572, 316, 815, 782, 318, 6050, 20572, 4940, 29328, 14052, 1038, 1820, 263, 718, 318, 6050, 20572, 29573, 1038, 1535, 23785, 476, 272, 1477, 825, 942, 4732, 2748, 263, 276, 3418, 825, 1820, 2891, 14744, 825, 31230, 815, 476, 271, 1477, 825, 1247, 31230, 2652, 476, 271, 6769, 1038, 1820, 2891, 30524, 596, 899, 547, 2807, 14744, 1038, 1820, 2891, 272, 269, 3619, 547, 519, 1292, 13398, 14744, 1038, 1820, 2891, 273, 269, 1401, 527, 14744, 1038, 18452, 815, 3403, 2891, 14744, 1038 ]

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

[ 0, 23389, 10136, 538, 476, 3707, 272, 11542, 593, 519, 12939, 540, 18293, 543, 941, 2907, 8600, 547, 7001, 519, 3854, 540, 519, 8168, 5742, 267, 855, 835, 3815, 18060, 539, 538, 519, 1576, 540, 519, 2112, 267, 799, 729, 711, 3144, 883, 2272, 676, 519, 4436, 1252, 1023, 269, 13360, 525, 827, 713, 676, 519, 2278, 540, 606, 2376, 585, 519, 4436, 7160, 540, 12603, 654, 3881, 563, 30051, 9709, 547, 1439, 519, 2112, 1996, 519, 8168, 5742, 602, 3459, 593, 4873, 476, 2420, 267, 476, 3707, 272, 267, 607, 4166, 607, 2009, 267, 11339, 590, 1597, 918, 11839, 327, 4752, 269, 6736, 519, 9271, 540, 4436, 10136, 602, 4553, 538, 519, 1101, 1614, 3275, 540, 519, 2112, 267, 12670, 729, 2907, 8600, 585, 519, 7001, 540, 519, 6739, 3854, 563, 4002, 5181, 476, 4281, 267, 519, 4436, 4971, 3459, 20491, 14977, 874, 3019, 267, 519, 4305, 540, 799, 729, 547, 14710, 519, 4414, 8136, 2282, 18293, 267, 799, 1185, 11124, 1256, 3152, 9271, 2094, 519, 4098, 540, 519, 2112, 269, 1306, 851, 540, 713, 5106, 267, 519, 16586, 941, 2469, 547, 834, 19874, 519, 22449, 257, 540, 8168, 6576, 267, 607, 29962, 29731, 30686, 16199, 1457, 5206, 269, 634, 16586, 13671, 2473, 301, 9331, 311, 15523, 267, 1297, 532, 3592, 1079, 2929, 1004, 563, 22873, 6053, 267, 3388, 4682, 607, 9709, 693, 519, 4436, 22071, 267, 519, 2278, 4967, 269, 634, 4436, 10136, 7307, 547, 1711, 1896, 26925, 2282, 966, 344, 1794, 2742, 543, 21563, 13089, 267, 16199, 1457, 1185, 2907, 9709, 519, 7001, 540, 18293, 267, 855, 3388, 4957, 538, 606, 8216, 910, 519, 15489, 22856, 3459, 267, 7432, 519, 9897, 883, 791, 817, 762, 16095, 269, 26653, 519, 9587, 267, 3079, 540, 678, 5241, 547, 519, 6739, 3854, 267, 3893, 12758, 593, 519, 1055, 268, 5802, 267, 519, 15493, 8593, 3297, 267, 519, 18086, 11074, 563, 13295, 267, 918, 11839, 327, 4752, 568, 2386, 602, 519, 22856, 796, 27665, 539, 585, 676, 519, 4436, 4971, 1705, 711, 1450, 519, 16586, 547, 3136, 741, 4323, 593, 18293, 543, 7001, 519, 6739, 3854, 269, 2311, 519, 1482, 942, 267, 519, 28592, 3576, 2407, 5413, 540, 519, 1365, 924, 543, 2322, 741, 4559, 538, 1931, 267, 8600, 547, 1065, 601, 519, 4436, 18086, 269, 634, 4365, 3815, 5129, 513, 23801, 1909, 538, 519, 6370, 540, 18293, 267, 646, 18304, 909, 269, 0, 763, 8666, 568, 3879, 13577, 563, 2793, 15674, 729, 2813, 607, 513, 4108, 27791, 19710, 1996, 519, 8168, 5742, 269, 4653, 519, 8168, 5742, 1281, 711, 2291, 267, 855, 519, 3345, 9533, 4108, 1025, 665, 6818, 269, 1717, 267, 972, 616, 1082, 968, 321, 7491, 892, 538, 922, 6228, 563, 2690, 519, 8128, 540, 519, 2136, 2276, 540, 3013, 267, 24114, 4805, 568, 1100, 3476, 2614, 547, 13720, 6576, 269, 2311, 1459, 267, 519, 1977, 7245, 568, 3843, 547, 4228, 922, 3310, 538, 519, 1158, 543, 1305, 1996, 6576, 543, 7060, 602, 941, 711, 267, 616, 711, 543, 616, 711, 2469, 547, 581, 851, 540, 519, 3345, 9533, 4108, 1025, 665, 563, 29910, 12034, 5245, 607, 513, 834, 684, 1392, 531, 257, 3196, 602, 666, 581, 1031, 1996, 1312, 6576, 543, 3624, 269, 6736, 519, 1249, 602, 713, 2197, 568, 711, 513, 4759, 540, 24114, 267, 621, 568, 267, 5310, 267, 811, 3742, 982, 1082, 13222, 540, 519, 5018, 4108, 1025, 665, 267, 4712, 547, 957, 538, 519, 4108, 27791, 8756, 540, 519, 2136, 2276, 563, 9213, 267, 519, 2475, 8128, 616, 27410, 609, 519, 26880, 593, 519, 2009, 11865, 540, 4108, 14482, 1013, 673, 6351, 547, 12907, 267, 607, 1134, 607, 593, 519, 3761, 540, 4508, 1030, 1221, 2067, 3154, 547, 2342, 538, 519, 4126, 540, 17527, 519, 3864, 2344, 585, 6739, 14273, 540, 834, 19990, 4492, 8487, 12901, 328, 7304, 11701, 16395, 616, 25093, 609, 519, 2229, 540, 3567, 269, 634, 2475, 8128, 616, 3843, 547, 1118, 519, 8092, 540, 519, 29547, 6129, 835, 540, 1346, 945, 786, 711, 1152, 1489, 4550, 7304, 11701, 24476, 267, 855, 849, 4497, 538, 4108, 2604, 593, 938, 2197, 269, 1677, 798, 713, 267, 519, 2136, 2276, 568, 3843, 547, 6542, 1489, 547, 3567, 538, 2474, 540, 6811, 547, 519, 3162, 27956, 3796, 269, 589, 6405, 1383, 568, 519, 3510, 538, 799, 2475, 13108, 9635, 30774, 1063, 1079, 10195, 538, 519, 27956, 559, 5832, 2063, 1032, 267, 15202, 602, 789, 2015, 519, 7297, 1472, 891, 10195, 547, 581, 3486, 563, 2793, 15674, 568, 711, 2614, 585, 519, 2475, 8128, 538, 519, 30925, 609, 6576, 849, 585, 519, 2601, 602, 972, 568, 1100, 9322, 538, 519, 19710, 3294, 593, 713, 3390, 269, 589, 1297, 540, 2477, 616, 5051, 6340, 856, 585, 513, 16268, 5188, 609, 6576, 543, 585, 10205, 532, 519, 3609, 540, 30925, 609, 18293, 269, 1452, 616, 21640, 267, 23886, 807, 267, 30355, 25474, 269, 2353, 540, 891, 616, 2818, 540, 519, 3345, 9533, 19137, 269, 5125, 543, 7977, 28586, 30925, 269, 11894, 568, 3001, 1447, 543, 1447, 786, 5944, 538, 1899, 609, 6115, 781, 3609, 2509, 18293, 563, 1607, 3123, 6161, 538, 6115, 267, 543, 4061, 972, 568, 606, 3742, 3406, 585, 968, 3467, 10121, 892, 4550, 7304, 11701, 16167, 267, 1851, 799, 789, 616, 3843, 547, 4482, 711, 1152, 5245, 543, 3567, 267, 855, 849, 971, 2477, 607, 8478, 267, 18335, 267, 519, 16313, 625, 540, 519, 14655, 13323, 269, 898, 1256, 3893, 547, 519, 1448, 602, 6115, 4744, 340, 3547, 19384, 5518, 12157, 5459, 16619, 689, 5870, 609, 519, 2212, 540, 519, 6739, 18966, 269, 1772, 713, 711, 13779, 538, 519, 4835, 12602, 540, 606, 4830, 1533, 286, 0, 20118, 267, 6904, 540, 519, 1739, 568, 711, 1455, 3060, 23289, 888, 5141, 13831, 3060, 23289, 568, 513, 4686, 12136, 563, 9827, 267, 621, 568, 4280, 267, 1548, 1826, 540, 10814, 568, 1031, 538, 1034, 5121, 28866, 888, 23562, 13554, 8424, 540, 15791, 616, 519, 1034, 7928, 1106, 540, 9348, 1782, 1031, 538, 2221, 779, 5121, 269, 21145, 476, 274, 630, 290, 2969, 476, 274, 264, 796, 3333, 1752, 539, 27390, 6292, 630, 7473, 303, 264, 10814, 568, 1031, 538, 519, 5354, 540, 1007, 9348, 1782, 19698, 563, 30772, 267, 1772, 519, 3044, 10618, 7014, 1031, 593, 1034, 7817, 4882, 13996, 5121, 28866, 888, 4002, 1034, 7817, 4882, 13996, 5121, 267, 12223, 13090, 568, 519, 3044, 10618, 7014, 269, 25494, 269, 1411, 1175, 8737, 4974, 476, 3066, 2474, 2336, 9827, 267, 769, 799, 23289, 616, 782, 5904, 4448, 538, 513, 5311, 593, 513, 2582, 10814, 888, 9336, 2780, 543, 3060, 3926, 568, 5532, 547, 513, 2582, 10814, 538, 513, 1668, 23289, 3060, 563, 10144, 849, 2307, 267, 6904, 568, 711, 513, 1826, 540, 772, 9143, 10814, 888, 292, 22313, 15791, 2097, 538, 513, 3099, 540, 5546, 543, 7306, 267, 1519, 9697, 268, 272, 267, 9697, 268, 273, 267, 9697, 268, 274, 267, 9697, 268, 276, 292, 267, 9697, 268, 276, 267, 9697, 268, 277, 267, 9697, 268, 277, 288, 267, 543, 865, 593, 269, 634, 9697, 268, 278, 289, 10814, 568, 711, 606, 25494, 10814, 563, 16665, 5999, 543, 12226, 454, 1432, 616, 519, 1455, 3060, 1283, 3098, 888, 30252, 267, 1668, 267, 8258, 267, 3529, 267, 17450, 267, 543, 10316, 616, 930, 540, 519, 1034, 7928, 3029, 563, 7617, 2010, 540, 15791, 616, 1031, 538, 3060, 888, 2467, 616, 2185, 1114, 2010, 540, 3060, 9348, 1782, 269, 3213, 32681, 10814, 568, 513, 2186, 540, 10814, 602, 814, 1079, 7475, 269, 3213, 32681, 15791, 4183, 513, 2582, 7601, 18364, 538, 519, 1647, 267, 609, 513, 5068, 4494, 1063, 621, 543, 519, 2909, 3660, 4496, 3382, 3246, 13471, 269, 27438, 8838, 545, 595, 762, 568, 513, 2186, 540, 9804, 10814, 269, 5254, 303, 630, 4537, 1752, 539, 3828, 13554, 30449, 264, 595, 762, 772, 9143, 630, 308, 985, 327, 1752, 539, 3828, 13554, 30449, 264, 595, 762, 454, 1432, 1826, 540, 10814, 568, 1031, 538, 1034, 5121, 888, 7473, 303, 630, 26536, 531, 12910, 1400, 16257, 264, 10814, 454, 7617, 2186, 540, 10814, 568, 1031, 538, 2199, 1858, 3060, 888, 292, 22313, 10814, 568, 1776, 2012, 585, 713, 10814, 269, 901, 10814, 568, 1031, 538, 3592, 782, 1699, 29135, 2780, 5121, 269, 7822, 2275, 10757, 8424, 540, 1202, 4327, 7601, 12904, 1118, 909, 713, 10814, 269, 1677, 3132, 513, 6292, 267, 1169, 1079, 12904, 616, 20386, 1472, 1142, 824, 563, 7617, 835, 540, 519, 1739, 568, 519, 3044, 10618, 7014, 1031, 593, 1034, 7817, 4882, 13996, 5121, 888, 307, 9573, 270, 7709, 6763, 585, 28298, 6513, 16257, 270, 25542, 16257, 269, 634, 28298, 6513, 16257, 270, 25542, 16257, 630, 307, 9573, 270, 7709, 264, 7014, 24194, 568, 519, 2872, 3044, 585, 7817, 1606, 13996, 2792, 936, 519, 4950, 563, 7617, 540, 519, 1739, 568, 711, 513, 3044, 585, 12616, 25494, 5121, 888, 322, 269, 634, 2626, 568, 476, 26764, 269, 1556, 629, 563, 1432, 568, 519, 3044, 10618, 7014, 1031, 888, 763, 2165, 968, 20598, 2213, 10618, 7014, 892, 4016, 547, 513, 7014, 602, 814, 1044, 13798, 1881, 607, 513, 3044, 269, 31923, 267, 519, 5769, 16257, 267, 543, 519, 15214, 3667, 18734, 16257, 616, 1806, 540, 3044, 2213, 10618, 10873, 630, 12487, 9143, 1916, 1432, 616, 519, 476, 279, 3060, 1283, 3098, 888, 11592, 3562, 15304, 267, 1668, 267, 5182, 267, 8258, 610, 9764, 267, 17450, 267, 3529, 267, 10316, 267, 610, 546, 24387, 5832, 616, 519, 5216, 3119, 1283, 3098, 6594, 538, 3060, 23289, 563, 1103, 799, 23289, 616, 782, 5904, 4448, 538, 5311, 593, 513, 2582, 10814, 28866, 888, 1700, 589, 1668, 6189, 13462, 2780, 3457, 538, 513, 9266, 1931, 593, 513, 2582, 5911, 563, 1432, 616, 2780, 5121, 888, 288, 2780, 3060, 568, 513, 4015, 540, 5904, 602, 2671, 2200, 3838, 676, 3060, 9136, 269, 1677, 2170, 609, 835, 1776, 267, 519, 5904, 2308, 3044, 2792, 10873, 2066, 3059, 3095, 1137, 563, 7617, 540, 519, 1739, 568, 711, 513, 1826, 540, 10814, 888, 322, 269, 19247, 281, 24296, 327, 1752, 539, 27390, 6292, 630, 7473, 303, 1070, 1071, 32681, 267, 543, 6775, 23726, 15791, 616, 782, 2010, 540, 10814, 1031, 538, 29040, 5121, 899, 10814, 8613, 543, 15146, 5121, 269, 5221, 796, 3333, 1752, 539, 1071, 32681, 568, 711, 513, 10814, 1826, 563, 1432, 616, 519, 476, 274, 1292, 1283, 3098, 888, 763, 1668, 267, 5182, 267, 543, 8258, 616, 1614, 540, 519, 1034, 1455, 1283, 3098, 563, 1432, 616, 519, 476, 278, 1114, 2010, 540, 10814, 28339, 888, 308, 985, 327, 1752, 539, 3828, 13554, 30449, 630, 290, 762, 9012, 264, 630, 7473, 303, 264, 3828, 13554, 1744, 1752, 539, 30449, 630, 4306, 303, 264, 17266, 25042, 27438, 630, 15551, 293, 264, 11638, 5336, 1712, 27438, 630, 12613, 293, 264, 630, 15551, 293, 264, 18135, 697, 17785, 630, 4306, 264, 4427, 2675, 686, 828, 4045, 528, 630, 17092, 264, 12359, 550, 4045, 528, 21362, 1229, 10793, 476, 3393, 630, 305, 297, 3393, 264, 630, 9448, 1916, 1432, 616, 1614, 3119, 2010, 540, 15791, 1031, 547, 1628, 513, 29135, 888, 1432, 616, 519, 1614, 1114, 5686, 540, 25494, 15791, 286, 27438, 19945, 6776, 10814, 568, 513, 2186, 540, 1239, 6771, 602, 3096, 1769, 3079, 540, 5201, 269, 3213, 32681, 10814, 568, 513, 2186, 540, 10814, 269, 595, 762, 609, 27390, 8424, 563, 7617, 1826, 540, 3060, 10814, 568, 4122, 1031, 538, 22449, 5121, 543, 15146, 3549, 888, 293, 9200, 19945, 6776, 15791, 616, 1031, 14916, 676, 15146, 3549, 543, 538, 22449, 5121, 1317, 789, 666, 4163, 1360, 1804, 5666, 540, 1239, 563, 1432, 616, 519, 1079, 1292, 2533, 3177, 676, 519, 3060, 4494, 540, 519, 27427, 7379, 2203, 888, 9558, 3939, 6513, 16257, 630, 307, 9573, 264, 543, 14871, 13096, 8183, 16257, 630, 308, 7894, 264, 616, 519, 1079, 1034, 1898, 10873, 538, 519, 13255, 23771, 630, 308, 7894, 1040, 27427, 3091, 513, 4096, 762, 1239, 6771, 3070, 602, 2882, 5470, 7020, 543, 7816, 689, 4098, 547, 9096, 269, 772, 7894, 568, 513, 1970, 21057, 267, 4276, 1652, 3611, 8183, 6765, 7014, 563, 7617, 540, 519, 1739, 568, 835, 1599, 540, 513, 3060, 7014, 888, 3080, 540, 519, 3252, 540, 513, 3060, 7014, 568, 547, 546, 269, 16473, 532, 18977, 2043, 689, 17034, 513, 3758, 7746, 454, 3963, 616, 7817, 4882, 13996, 5121, 2356, 8704, 538, 4213, 888, 9743, 16226, 7817, 4882, 13996, 5121, 568, 1447, 7199, 269, 9521, 623, 273, 303, 5121, 267, 789, 798, 711, 991, 6131, 13763, 269, 1358, 2461, 811, 27249, 982, 9263, 3562, 24406, 518, 630 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6801, 2676, 4537, 718, 15280, 569, 2253, 1010, 31604, 4266, 454, 4415, 713, 3781, 781, 11240, 338, 543, 1163, 790, 519, 2165, 454, 8170, 513, 16339, 2213, 1272, 267, 5008, 9364, 538, 1250, 6089, 2676, 3528, 930, 642, 850, 585, 10623, 527, 540, 2150, 830, 569, 2669, 269, 630, 296, 269, 643, 269, 13647, 268, 14093, 994, 1103, 891, 3515, 267, 19151, 6257, 834, 16341, 12343, 257, 602, 786, 1267, 538, 834, 16341, 642, 850, 585, 10623, 527, 540, 2150, 830, 569, 2669, 1701, 2986, 1576, 267, 519, 5304, 568, 3222, 602, 891, 3515, 616, 22509, 17495, 12976, 19151, 781, 1378, 2669, 267, 607, 519, 7139, 4084, 5143, 519, 5304, 540, 519, 5182, 2275, 1484, 539, 18798, 262, 535, 919, 269, 19151, 849, 18953, 593, 2442, 11052, 602, 4386, 2429, 519, 1404, 267, 971, 607, 3781, 267, 1769, 543, 519, 6801, 563, 305, 727, 334, 3884, 1405, 519, 1152, 835, 945, 22509, 17495, 3298, 741, 798, 558, 269, 19201, 849, 814, 606, 552, 2044, 1899, 950, 1352, 1101, 12034, 19151, 912, 7883, 2307, 1010, 2012, 23102, 2252, 646, 581, 9310, 2676, 7069, 18205, 568, 899, 547, 581, 1250, 16806, 5127, 269, 630, 296, 18192, 269, 16960, 268, 13893, 994, 1607, 1899, 1223, 581, 2854, 1055, 607, 5409, 26382, 18295, 8004, 3717, 267, 855, 519, 1899, 2501, 2066, 8335, 2094, 519, 5304, 6487, 519, 1404, 781, 1439, 269, 9956, 4667, 547, 2648, 22509, 17495, 12976, 19151, 543, 19201, 781, 27757, 267, 607, 972, 616, 7899, 540, 8949, 1806, 899, 713, 1369, 519, 1404, 269, 0, 1103, 1931, 547, 7639, 2429, 24051, 322, 2867, 267, 689, 519, 8184, 602, 2164, 538, 513, 1524, 539, 7077, 782, 519, 1259, 547, 1010, 22638, 15063, 267, 20574, 9727, 1082, 2168, 7592, 543, 1915, 7592, 602, 948, 1864, 3251, 9800, 269, 2290, 540, 519, 1034, 1271, 568, 1010, 27093, 1145, 267, 10423, 689, 519, 1360, 9998, 3817, 269, 1261, 568, 593, 1010, 1378, 538, 513, 17382, 7077, 609, 513, 2582, 12681, 267, 10707, 547, 6108, 519, 4832, 609, 1010, 19033, 267, 543, 519, 12681, 3091, 547, 1397, 1864, 875, 547, 8038, 519, 7077, 281, 968, 2048, 2080, 16224, 9232, 646, 6645, 20574, 267, 2048, 1584, 707, 3946, 593, 519, 8060, 267, 707, 3952, 593, 519, 25229, 1457, 7895, 1023, 267, 543, 594, 3580, 1397, 596, 1018, 594, 1611, 10200, 9232, 2755, 20574, 11688, 527, 919, 7620, 267, 1010, 568, 811, 513, 18351, 13889, 267, 543, 1985, 3364, 267, 646, 814, 786, 5944, 968, 516, 3737, 856, 543, 1496, 339, 2586, 316, 519, 8868, 538, 513, 17945, 865, 9395, 1010, 5679, 3089, 956, 941, 3043, 1848, 715, 12883, 2285, 1259, 547, 1719, 543, 10761, 538, 519, 3068, 540, 519, 4316, 547, 8038, 519, 7077, 782, 676, 5128, 267, 2523, 1310, 519, 12681, 968, 2280, 314, 338, 316, 979, 540, 1010, 8868, 1547, 1547, 1547, 547, 1397, 20574, 646, 729, 2965, 10760, 519, 7077, 4805, 1848, 16874, 20574, 26218, 602, 27093, 6891, 267, 1010, 12918, 540, 6668, 538, 519, 19069, 1131, 723, 1044, 1360, 1989, 574, 8197, 563, 10521, 2629, 2168, 7592, 616, 1010, 26176, 2088, 543, 1010, 2702, 547, 7669, 267, 1312, 540, 799, 616, 8810, 676, 519, 1439, 540, 3184, 476, 274, 267, 950, 646, 16154, 2000, 1343, 519, 7077, 883, 519, 10720, 538, 519, 1647, 540, 24076, 267, 4229, 1010, 1259, 856, 540, 519, 7077, 267, 968, 719, 540, 519, 695, 13593, 4395, 6885, 2223, 543, 7669, 338, 1010, 1259, 547, 519, 2627, 543, 1287, 547, 519, 32132, 269, 4210, 21148, 568, 711, 8209, 513, 24080, 6026, 5578, 267, 855, 835, 1510, 799, 20574, 1131, 723, 546, 27547, 538, 519, 10720, 538, 19220, 540, 1010, 2348, 6707, 15354, 519, 7077, 269, 1656, 519, 4339, 646, 2322, 909, 547, 1205, 856, 540, 519, 7077, 607, 621, 4904, 609, 1216, 543, 6560, 547, 519, 2627, 543, 1287, 547, 13272, 18327, 1010, 2168, 4222, 543, 26176, 2088, 563, 7661, 267, 1776, 1915, 16023, 646, 859, 514, 806, 568, 1010, 9350, 267, 6394, 2212, 538, 519, 3068, 540, 1761, 8594, 543, 519, 9568, 646, 814, 11124, 269, 1261, 22393, 3217, 519, 942, 547, 1694, 1524, 538, 519, 18137, 2282, 519, 10720, 267, 8900, 1010, 22836, 267, 543, 1491, 513, 9488, 267, 2808, 11891, 540, 1018, 646, 1281, 723, 630, 18034, 538, 6476, 1312, 547, 1018, 646, 1281, 711, 723, 543, 267, 3226, 267, 547, 1018, 646, 1223, 723, 4503, 267, 4098, 609, 1010, 1272, 2567, 968, 288, 10116, 267, 1614, 546, 1307, 267, 513, 19695, 267, 543, 1079, 30779, 625, 269, 589, 9491, 1716, 841, 804, 23124, 269, 589, 3915, 24670, 609, 513, 8938, 13362, 3915, 1547, 1547, 1547, 543, 930, 9642, 4773, 540, 1957, 269, 1656, 593, 1010, 12966, 267, 11214, 1869, 972, 267, 519, 11058, 322, 2867, 1010, 3993, 1185, 2016, 1864, 1848, 4329, 267, 646, 814, 1010, 9660, 543, 10887, 267, 543, 513, 1434, 2212, 593, 1010, 17525, 267, 543, 609, 1346, 1906, 2168, 3688, 543, 1010, 2067, 7279, 543, 2631, 540, 7045, 267, 646, 2306, 621, 856, 540, 519, 6433, 9800, 269, 0, 7312, 2243, 12134, 827, 519, 25349, 4128, 585, 7292, 7130, 267, 799, 267, 1354, 16460, 267, 594, 1616, 547, 4228, 2390, 676, 23243, 873, 689, 519, 5626, 4128, 585, 7130, 269, 2755, 5626, 4128, 585, 7130, 666, 581, 20902, 543, 4294, 547, 1620, 7130, 540, 782, 5686, 543, 1996, 782, 7292, 2516, 267, 519, 25349, 4128, 585, 7130, 616, 8200, 593, 2796, 543, 1686, 267, 543, 8428, 585, 1142, 7292, 1895, 563, 20329, 1670, 4128, 585, 7130, 2097, 689, 3710, 2987, 1480, 12886, 269, 1280, 1383, 267, 3425, 4043, 547, 13498, 1004, 1369, 741, 1378, 7292, 630, 528, 824, 14386, 1895, 811, 3870, 2406, 982, 1346, 3544, 540, 741, 7292, 1895, 267, 543, 4043, 547, 2285, 1004, 1369, 741, 1378, 1895, 4776, 22460, 2126, 269, 901, 9186, 568, 1572, 519, 538, 31228, 9186, 267, 543, 568, 835, 540, 1082, 2010, 540, 12886, 602, 1291, 547, 7292, 14882, 734, 597, 16884, 267, 2942, 21520, 1759, 593, 11475, 540, 1004, 689, 824, 7292, 2516, 269, 2776, 9080, 823, 267, 538, 2490, 267, 5012, 547, 7130, 267, 519, 4776, 22460, 2126, 540, 835, 7292, 1895, 936, 1776, 269, 2755, 14882, 568, 513, 2790, 1533, 267, 7130, 568, 606, 2962, 563, 4322, 5626, 4128, 12969, 543, 9192, 609, 519, 2189, 3140, 543, 25349, 6381, 540, 1142, 31345, 7292, 1895, 543, 922, 1727, 816, 832, 269, 2755, 519, 12886, 602, 1118, 909, 519, 5626, 4128, 585, 7130, 1522, 581, 1455, 2066, 782, 3425, 267, 519, 25349, 4128, 585, 7292, 7130, 8428, 1063, 267, 585, 1383, 267, 3979, 31787, 267, 5824, 657, 267, 543, 7642, 269, 769, 519, 2013, 540, 3979, 31787, 267, 585, 1383, 267, 25349, 4128, 585, 7130, 616, 5483, 676, 519, 1686, 540, 3979, 8474, 267, 13343, 18844, 4031, 267, 1362, 2861, 31195, 1063, 4057, 16543, 543, 4057, 17051, 267, 519, 2112, 593, 5061, 267, 543, 519, 7890, 11897, 12009, 1950, 269, 901, 1686, 2488, 519, 20457, 585, 7292, 7130, 602, 5170, 2221, 563, 10376, 540, 891, 2516, 685, 12583, 267, 543, 1142, 540, 519, 3140, 6381, 5018, 1657, 20519, 741, 1378, 4267, 630, 604, 711, 741, 1378, 2835, 256, 1070, 865, 594, 786, 8936, 930, 2417, 2200, 585, 596, 269, 8729, 585, 513, 1390, 2243, 256, 0, 8310, 21213, 593, 2904, 476, 278, 267, 476, 1001, 276, 267, 676, 552, 24687, 32000, 269, 6478, 4032, 281, 476, 14983, 271, 454, 763, 5339, 267, 10952, 267, 543, 3909, 3350, 1634, 607, 3690, 25728, 1581, 1143, 16204, 2426, 909, 538, 3013, 538, 519, 4571, 268, 8146, 271, 338, 267, 1282, 513, 942, 950, 519, 2197, 729, 18188, 2509, 513, 2101, 2797, 6433, 269, 3690, 25728, 1581, 1143, 568, 607, 1454, 513, 5339, 3350, 607, 621, 568, 513, 2797, 835, 267, 543, 930, 540, 519, 1883, 5716, 1765, 10387, 3205, 267, 9509, 518, 267, 774, 648, 879, 267, 543, 18724, 2006, 1765, 954, 342, 913, 6214, 883, 741, 7214, 1660, 902, 269, 1677, 3717, 540, 5198, 267, 4008, 267, 610, 1362, 1765, 1170, 1132, 799, 31721, 1472, 1379, 1894, 610, 21376, 3892, 540, 1379, 32737, 782, 540, 891, 5830, 1705, 267, 568, 513, 2797, 1847, 269, 1677, 2161, 891, 5830, 941, 968, 12221, 5644, 892, 676, 8938, 23867, 2540, 4441, 568, 711, 3833, 1318, 282, 2705, 267, 789, 941, 782, 6619, 540, 741, 942, 538, 741, 2093, 827, 19802, 543, 7862, 585, 782, 1004, 563, 22818, 519, 7887, 7941, 538, 519, 2038, 547, 4571, 333, 12078, 2540, 729, 519, 3390, 540, 8474, 269, 1323, 2804, 267, 1514, 267, 543, 2797, 3390, 267, 8474, 729, 8954, 633, 689, 519, 1360, 4098, 269, 26913, 729, 2760, 9277, 547, 2063, 269, 10104, 6754, 700, 2246, 518, 6941, 538, 1010, 4367, 547, 2038, 13524, 10601, 3332, 538, 519, 1261, 987, 16262, 1108, 540, 1977, 9085, 281, 968, 763, 5853, 619, 1185, 5631, 10924, 602, 8474, 1131, 538, 519, 1576, 540, 942, 693, 15577, 543, 602, 10553, 6868, 267, 9139, 958, 15286, 689, 1104, 532, 3606, 10437, 267, 1131, 6038, 2490, 547, 824, 267, 1863, 2959, 540, 4074, 1848, 1809, 519, 8798, 540, 519, 10412, 575, 514, 4957, 713, 1259, 540, 3206, 267, 17923, 519, 9872, 540, 8474, 543, 1818, 519, 946, 540, 10437, 547, 4584, 10412, 3810, 29988, 269, 634, 8082, 15841, 538, 3013, 607, 1896, 5480, 2665, 543, 8332, 2478, 3357, 883, 1373, 281, 519, 16713, 3281, 668, 1047, 538, 476, 9264, 271, 267, 799, 19275, 8474, 538, 519, 1007, 11182, 282, 519, 674, 1872, 1438, 32013, 4521, 538, 476, 6977, 271, 267, 799, 1500, 621, 3656, 585, 10553, 3032, 7129, 547, 2097, 547, 519, 3345, 547, 29379, 23012, 10437, 282, 543, 519, 667, 1042, 8845, 3375, 538, 476, 6977, 278, 267, 799, 4371, 602, 3979, 4892, 941, 711, 4961, 540, 519, 2136, 2276, 543, 602, 10553, 3835, 532, 1223, 711, 581, 16934, 689, 1022, 1533, 610, 8513, 269, 2311, 519, 1482, 942, 972, 941, 10553, 15148, 1206, 3366, 676, 14844, 25306, 630, 8146, 272, 264, 543, 3627, 9466, 630, 6977, 280, 1070, 607, 1134, 607, 513, 5458, 20552, 626, 3060, 540, 5830, 267, 15628, 267, 543, 26789, 21805, 26423, 269, 26913, 729, 593, 519, 8186, 540, 4892, 267, 543, 519, 5830, 540, 519, 1554, 941, 6157, 711, 23614, 563, 3383, 1946, 267, 1287, 267, 1131, 513, 1507, 267, 3810, 13473, 543, 12666, 1895, 540, 1715, 4789, 5830, 267, 15806, 267, 543, 26110, 3442, 547, 2490, 547, 2470, 538, 713, 942, 540, 31587, 6433, 286, 3690, 25728, 1581, 1143, 6719, 513, 7432, 27808, 538, 1082, 3344, 282, 621, 5059, 593, 519, 1367, 267, 593, 519, 1480, 6891, 543, 519, 1480, 9997, 269, 1280, 2506, 3205, 267, 2470, 729, 10143, 282, 621, 8659, 519, 4267, 547, 782, 519, 13655, 540, 1272, 269, 15526, 1185, 1569, 547, 2470, 267, 2943, 1906, 1223, 2731, 9787, 519, 10143, 1761, 540, 621, 269, 1261, 3081, 538, 7186, 912, 2414, 3717, 5963, 267, 1906, 2937, 7606, 666, 1294, 2470, 269, 1547, 1547, 1547, 2311, 2547, 789, 723, 513, 1360, 21603, 7487, 269, 1547, 1547, 1547, 634, 24158, 540, 2470, 568, 646, 4171, 27808, 543, 21286, 12823, 616, 1869, 5963, 14661, 547, 1142, 824, 282, 945, 814, 17477, 519, 6891, 540, 1010, 26638, 1256, 883, 519, 5736, 540, 812, 3125, 563, 1607, 8574, 5267, 602, 547, 2731, 968, 5408, 892, 2470, 267, 835, 1590, 1589, 609, 519, 9345, 540, 513, 1126, 269, 2506, 3205, 543, 1010, 8284, 16637, 1581, 1235, 267, 2523, 19829, 1325, 22574, 267, 5156, 602, 1453, 4718, 519, 1158, 609, 23906, 615, 4064, 543, 602, 2094, 789, 941, 6251, 547, 4332, 267, 789, 941, 6251, 547, 741, 840, 19689, 5289, 1533, 269, 5753, 616, 711, 2407, 5171, 538, 519, 24041, 1062, 1317, 789, 616, 711, 2943, 9141, 676, 2724, 282, 741, 8186, 616, 1447, 968, 322, 992, 4765, 892, 609, 19048, 540, 519, 2413, 1158, 563, 1103, 713, 1259, 267, 3690, 25728, 1581, 1143, 15156, 606, 3592, 1036, 4809, 1533, 269, 1403, 835, 540, 519, 28975, 540, 3690, 25728, 1581, 1143, 568, 547, 1294, 609, 519, 4064, 540, 513, 1126, 267, 1776, 4557, 564, 568, 519, 1391, 585, 1367, 1143, 269, 2506, 3205, 543, 774, 648, 879, 941, 1360, 1454, 28288, 540, 1977, 1367, 1143, 282, 789, 1965, 3832, 14954, 29077, 543, 15007, 269, 901, 3029, 519, 4493, 585, 2506, 3205, 779, 1557, 968, 20236, 7304, 601, 4800, 1848, 769, 713, 1557, 267, 646, 6941, 912, 306, 1539, 1214, 10876, 568, 538, 24242, 1996, 519, 812, 3125, 540, 1169, 835, 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 ]

[ 5172, 8137, 269, 2334, 781, 950, 24054, 3268, 538, 256, 24054, 5849, 602, 3025, 4991, 513, 4023, 2671, 676, 1818, 11941, 1759, 593, 1367, 2115, 269, 1280, 1383, 267, 3246, 3063, 1085, 334, 3591, 585, 4130, 3214, 610, 10683, 6954, 3681, 585, 26178, 703, 26985, 2828, 269, 1635, 3257, 713, 267, 3025, 814, 3160, 1569, 547, 18399, 2439, 1103, 2424, 4422, 1688, 2987, 11804, 609, 4763, 543, 9698, 269, 26451, 3025, 1797, 4180, 1100, 835, 7959, 2451, 856, 610, 16934, 1317, 540, 741, 3017, 269, 4635, 938, 4672, 8645, 6300, 21658, 1586, 267, 4952, 2348, 513, 2027, 1554, 6131, 547, 15386, 543, 512, 8463, 1585, 2686, 4672, 1212, 4461, 269, 3767, 267, 1169, 8137, 4991, 922, 4090, 547, 19542, 267, 543, 3025, 7959, 20888, 543, 3769, 2439, 3383, 267, 1631, 596, 917, 602, 5009, 16844, 267, 24054, 267, 543, 29621, 2337, 1628, 2178, 4296, 1851, 1004, 543, 2636, 873, 547, 8853, 269, 8625, 267, 649, 786, 2263, 2081, 547, 8661, 938, 22464, 1247, 8156, 3025, 9425, 543, 24963, 269, 5192, 4712, 547, 4685, 883, 4241, 2984, 267, 2238, 267, 543, 5717, 827, 891, 1898, 2035, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 291, 1751, 267, 9698, 267, 543, 10014, 630, 14701, 296, 264, 7341, 723, 1831, 5051, 1271, 607, 3906, 11441, 547, 4473, 547, 519, 2591, 543, 1711, 513, 811, 12581, 543, 8537, 9036, 585, 782, 5520, 269, 16692, 296, 7341, 616, 2966, 547, 2232, 7130, 267, 12886, 267, 3604, 540, 6644, 267, 543, 30886, 2152, 543, 547, 1711, 513, 2528, 540, 2463, 543, 10014, 585, 5520, 689, 782, 10080, 269, 1452, 7341, 666, 1491, 1082, 3029, 267, 689, 2866, 543, 2069, 3292, 547, 17849, 2853, 543, 3609, 2242, 563, 14294, 881, 766, 540, 16692, 296, 9024, 328, 2510, 454, 291, 1751, 267, 24054, 267, 543, 29621, 630, 14701, 296, 264, 7341, 616, 1271, 585, 2870, 513, 811, 4023, 543, 1175, 2486, 602, 1193, 1161, 547, 3398, 543, 2463, 3604, 269, 1452, 7341, 2832, 547, 3895, 543, 1489, 4763, 538, 782, 3029, 267, 971, 607, 5198, 267, 4008, 267, 4638, 10066, 267, 543, 2702, 267, 543, 960, 547, 2232, 543, 9004, 1022, 3029, 540, 7130, 543, 9186, 585, 606, 12581, 9036, 563, 763, 4644, 540, 16692, 296, 7341, 568, 2312, 281, 513, 811, 3309, 543, 538, 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, 3848, 476, 1691, 281, 5890, 21505, 2659, 6355, 21222, 976, 910, 10289, 1715, 29714, 692, 5970, 596, 2479, 26927, 3139, 827, 4687, 707, 5863, 21097, 1796, 2856, 609, 3214, 782, 1472, 519, 1158, 286, 2107, 6148, 596, 4312, 2813, 513, 3579, 813, 602, 3025, 1131, 2648, 547, 946, 256, 1306, 1762, 11639, 267, 972, 616, 865, 1082, 3255, 7996, 585, 596, 3564, 707, 8378, 610, 2749, 269, 2290, 971, 6909, 4960, 6013, 538, 10024, 1007, 6990, 267, 2523, 835, 607, 2462, 543, 6422, 607, 519, 2136, 2276, 256, 2334, 781, 1318, 282, 649, 2811, 6158, 827, 9513, 707, 2472, 610, 2533, 547, 6634, 540, 1004, 2066, 519, 7330, 269, 1809, 875, 798, 596, 1256, 1376, 3257, 1945, 899, 713, 950, 596, 2811, 1869, 538, 1647, 1153, 286, 2913, 781, 2263, 519, 1523, 1927, 676, 1565, 930, 1898, 3268, 780, 5575, 1919, 1101, 281, 1018, 1281, 621, 1611, 547, 4283, 513, 1007, 2344, 286, 5994, 2348, 513, 5172, 4558, 538, 707, 4884, 1141, 596, 4444, 9162, 267, 3756, 267, 610, 4739, 7727, 269, 3767, 1589, 827, 875, 9599, 596, 9364, 581, 952, 602, 1482, 4558, 4941, 547, 1930, 2282, 707, 3659, 781, 2777, 593, 519, 824, 2427, 540, 519, 2197, 269, 1358, 9364, 991, 547, 1451, 827, 519, 2199, 2146, 267, 1265, 519, 3501, 4087, 267, 5310, 4188, 741, 1587, 17008, 1759, 593, 7375, 267, 543, 4137, 856, 11288, 17825, 269, 2353, 891, 3646, 2179, 547, 10024, 513, 1007, 2344, 1107, 10962, 707, 1870, 547, 513, 1114, 3148, 609, 2189, 4162, 543, 5561, 780, 3086, 1577, 781, 1445, 593, 1946, 519, 772, 2529, 269, 2344, 1223, 581, 3226, 13267, 585, 1762, 11639, 899, 596, 269, 901, 5318, 2197, 814, 811, 982, 476, 20065, 2929, 1004, 630, 7474, 781, 10199, 2185, 2053, 519, 3003, 2551, 540, 4516, 14386, 945, 2097, 689, 3309, 10080, 543, 4529, 269, 2052, 596, 4952, 8757, 856, 547, 971, 513, 2647, 2039, 540, 1761, 2828, 543, 5561, 286, 9578, 267, 4892, 2731, 2972, 9140, 1187, 543, 3730, 3688, 267, 799, 1797, 789, 6108, 3592, 513, 10116, 540, 519, 2898, 1158, 781, 2724, 593, 5370, 543, 2533, 1169, 1032, 269, 16319, 7168, 15813, 267, 3085, 1405, 621, 2496, 4913, 267, 1175, 899, 1022, 1390, 7045, 267, 10024, 519, 772, 2529, 269, 2344, 2501, 609, 2591, 269, 6056, 827, 3843, 547, 6133, 707, 8949, 19471, 12897, 693, 513, 1153, 4023, 8957, 4881, 513, 23739, 1870, 7674, 606, 3003, 1533, 269, 1411, 9364, 9090, 991, 948, 23115, 856, 7247, 547, 3077, 267, 4259, 5777, 267, 7555, 856, 10838, 15712, 267, 543, 3478, 1346, 26345, 13000, 9447, 4195, 543, 3728, 269, 1677, 10994, 891, 2152, 3927, 267, 596, 1590, 1711, 513, 1134, 268, 2288, 339, 13050, 1544, 1572, 513, 834, 1598, 1538, 545, 31387, 2437, 1519, 1614, 1292, 3268, 1384, 272, 269, 2878, 15812, 564, 3194, 5093, 6969, 1818, 1022, 3664, 267, 596, 1616, 547, 1831, 606, 4274, 593, 3388, 1644, 547, 519, 772, 2529, 269, 2344, 269, 5808, 2729, 972, 286, 1548, 2186, 540, 4213, 2907, 2291, 286, 1215, 1454, 798, 1004, 3335, 2628, 585, 2147, 2472, 610, 2533, 286, 1635, 16460, 2055, 899, 891, 267, 596, 786, 1174, 1732, 2436, 707, 1870, 666, 8853, 538, 713, 14297, 19458, 563, 273, 269, 2878, 5522, 8911, 5093, 2991, 11018, 1344, 267, 621, 781, 942, 547, 2322, 1927, 513, 4640, 269, 6904, 2829, 1522, 581, 1034, 5461, 538, 707, 2472, 610, 2533, 286, 9701, 596, 1689, 4376, 827, 873, 547, 9029, 811, 547, 1977, 16919, 286, 4024, 596, 6928, 9753, 3054, 610, 960, 609, 1776, 2754, 547, 6023, 5838, 625, 286, 1452, 616, 2565, 2055, 547, 2626, 1354, 17259, 883, 2962, 563, 274, 269, 2878, 2750, 1815, 1081, 5093, 4495, 596, 1745, 8746, 827, 707, 1544, 267, 621, 781, 979, 6066, 256, 32374, 707, 6725, 11044, 267, 3715, 12352, 267, 543, 1205, 4712, 547, 1294, 875, 707, 1870, 9428, 269, 5457, 2141, 547, 3251, 8465, 1317, 3006, 6397, 9465, 949, 8451, 267, 855, 1810, 1405, 5855, 32503, 1631, 4865, 519, 2645, 2877, 547, 7753, 873, 6707, 780, 3383, 267, 1934, 781, 938, 4161, 585, 596, 281, 4584, 513, 1587, 610, 3028, 596, 9364, 2648, 547, 2671, 609, 8284, 1053, 2066, 3013, 543, 1246, 891, 3268, 269, 18430, 2344, 1382, 2228, 267, 1374, 513, 10888, 4640, 267, 543, 1287, 4952, 22745, 707, 1360, 1378, 3084, 5859, 269, 5808, 6487, 1765, 16673, 2041, 14693, 4166, 267, 3214, 10876, 786, 2972, 707, 13144, 1175, 607, 1454, 607, 707, 12543, 798, 2221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 6206, 547, 11773, 281, 589, 21864, 13979, 547, 9373, 532, 519, 772, 2529, 269, 645, 273, 289, 10369, 454, 2026, 606, 16724, 610, 1870, 8227, 267, 9750, 883, 1007, 6990, 568, 513, 4105, 1900, 2509, 3152, 2208, 543, 1967, 269, 1656, 1851, 519, 1585, 2518, 6990, 547, 2015, 267, 519, 772, 2529, 269, 2344, 6763, 856, 607, 513, 29988, 4316, 1813, 547, 922, 10373, 2450, 267, 3309, 6075, 3490, 267, 2178, 11449, 1379, 543, 1870, 7888, 1604, 269, 2060, 513, 2551, 540, 936, 476, 20065, 2929, 1004, 543, 476, 1839, 260, 540, 519, 2518, 12654, 267, 519, 772, 2529, 269, 2344, 568, 519, 4102, 7082, 2344, 538, 519, 1158, 563, 3719, 19480, 883, 519, 3810, 8013, 2475, 645, 273, 289, 2344, 666, 581, 513, 18447, 4305, 585, 4896, 269, 6969, 11362, 883, 519, 2344, 21774, 1184, 267, 621, 568, 2629, 547, 723, 513, 9488, 1620, 540, 519, 772, 2529, 269, 2344, 269, 898, 3340, 6297, 4058, 267, 4199, 14305, 543, 15826, 11056, 2443, 6382, 1634, 607, 707, 7580, 31387, 563, 14707, 3101, 2620, 281, 2344, 1382, 543, 2079, 454, 763, 772, 2529, 269, 2344, 568, 3810, 8013, 267, 609, 1312, 6469, 543, 3486, 5716, 642, 3539, 585, 544, 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, 20821, 590, 1013, 879, 345, 619, 281, 595, 1393, 855, 2398, 821, 547, 16164, 2353, 25489, 2336, 24801, 14945, 5970, 596, 2479, 4862, 540, 513, 2915, 9742, 1572, 590, 1013, 879, 10045, 286, 1358, 2811, 8385, 689, 5125, 543, 616, 1634, 585, 1373, 12703, 543, 2706, 5100, 256, 2060, 741, 32620, 8188, 543, 2189, 5911, 3620, 8529, 25151, 267, 789, 1118, 9735, 1920, 10130, 269, 1809, 1175, 899, 3425, 267, 5243, 666, 723, 11959, 1932, 910, 2523, 938, 590, 1013, 879, 10045, 2828, 269, 2290, 1455, 3390, 789, 3068, 568, 27699, 2562, 20231, 2207, 294, 22494, 256, 9462, 494, 378, 26926, 373, 20804, 692, 5331, 952, 2608, 9767, 265, 941, 7683, 21422, 543, 13943, 1317, 540, 1945, 596, 17696, 269, 2334, 3085, 1405, 3280, 1187, 693, 782, 267, 1318, 286, 4270, 267, 602, 781, 1018, 4523, 609, 930, 590, 1013, 879, 345, 619, 950, 789, 8532, 1978, 3536, 269, 4256, 4703, 1522, 2746, 21354, 547, 1808, 5820, 267, 4929, 25017, 267, 30919, 267, 543, 2489, 9636, 269, 962, 10105, 256, 9462, 502, 358, 692, 3719, 1810, 1405, 5855, 1107, 649, 666, 948, 938, 2770, 27918, 14609, 625, 676, 4466, 856, 799, 5820, 21898, 873, 269, 2913, 781, 1451, 827, 891, 16602, 12153, 1384, 2162, 5871, 5253, 23123, 6970, 6748, 24410, 1076, 2340, 504, 510, 20804, 692, 5278, 8912, 31268, 1851, 519, 27521, 338, 3297, 590, 1013, 879, 10045, 2960, 11959, 616, 1384, 272, 269, 2878, 10111, 8510, 6233, 630, 8364, 2125, 264, 4995, 1452, 2097, 689, 9274, 899, 10568, 267, 8970, 267, 543, 1256, 12277, 269, 18320, 1454, 540, 891, 1223, 1291, 547, 2152, 563, 273, 269, 2878, 3682, 974, 1231, 4995, 1411, 949, 1589, 267, 834, 310, 7159, 267, 3884, 1405, 3940, 1434, 8119, 8786, 267, 621, 568, 267, 855, 3006, 5243, 666, 1831, 6213, 547, 1880, 2010, 267, 971, 607, 9269, 267, 14132, 267, 3165, 267, 543, 5798, 780, 2005, 781, 1271, 547, 3314, 602, 1169, 590, 1013, 879, 10045, 568, 1114, 269, 1548, 21898, 338, 835, 7782, 1522, 711, 1860, 1776, 269, 1924, 875, 798, 649, 1265, 856, 1018, 781, 4929, 8373, 286, 1635, 9878, 2673, 3007, 547, 938, 561, 990, 762, 1093, 665, 1127, 1310, 803, 5306, 830, 2439, 2162, 13772, 4934, 1280, 1452, 20050, 26461, 478, 692, 2691, 938, 590, 1013, 879, 345, 619, 3548, 1945, 602, 9969, 4181, 609, 873, 267, 789, 1522, 1397, 4191, 899, 1384, 265, 700, 10107, 741, 533, 9155, 23494, 9462, 355, 370, 454, 265, 2480, 337, 10248, 741, 17987, 811, 1419, 982, 3339, 29836, 499, 454, 265, 11109, 3622, 28349, 2960, 9462, 496, 498, 692, 3528, 11287, 891, 4191, 267, 649, 666, 1376, 23115, 856, 1022, 1761, 2042, 538, 741, 11326, 269, 1403, 649, 1294, 4376, 7282, 267, 1577, 781, 2911, 547, 513, 16943, 945, 6487, 827, 590, 1013, 879, 345, 619, 543, 741, 6084, 3240, 13542, 256, 26461, 358, 587, 491, 414, 504, 499, 20804, 6930, 494, 370, 692, 2162, 15531, 14568, 5253, 18169, 9462, 354, 501, 692, 288, 3070, 1082, 4620, 3237, 3442, 568, 15175, 741, 590, 1013, 879, 10045, 14609, 344, 547, 513, 17290, 16016, 1042, 1304, 10791, 630, 299, 2839, 264, 610, 717, 1778, 6363 ]

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

[ 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

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

[ 21459, 4067, 263, 11391, 272, 17903, 2745, 263, 32715, 4315, 8542, 636, 15058, 318, 11391, 3418, 5897, 258, 1103, 615, 13330, 6769, 24541, 258, 10048, 4526, 910, 3763, 518, 616, 1016, 5035, 610, 1126, 1362, 610, 6508, 1362, 1477, 258, 32715, 4315, 568, 2706, 5035, 610, 2385, 1362, 610, 3490, 1362, 1477, 5035, 3763, 518, 263, 32715, 4315, 8029, 825, 1780, 5897, 5035, 15440, 263, 32715, 4315, 8029, 825, 1780, 5897, 2745, 263, 1170, 889, 5035, 263, 14946, 518, 267, 32715, 4315, 17903, 2745, 263, 1170, 889, 5035, 263, 10048, 4526, 267, 32715, 4315, 17903, 2745, 263, 1170, 889, 5035, 263, 32715, 4315, 267, 14946, 518, 264, 10142, 22563, 815, 3763, 518, 3488, 306, 2643, 1407, 614, 3299, 1412, 293, 1716, 663, 525, 3299, 476, 8517, 876, 3418, 332, 978, 815, 15440, 3488, 312, 690, 754, 571, 3299, 1412, 306, 532, 327, 3299, 476, 16020, 876, 10142, 2745, 263, 22563, 269, 21459, 4067, 3890, 10142, 2745, 263, 529, 27349, 263, 22563, 267, 14946, 518, 17903, 2745, 263, 529, 27349, 263, 22563, 267, 10048, 4526, 17903, 2745, 263, 529, 27349, 9852, 978, 267, 10048, 4526, 17903, 2745, 263, 529, 27349, 263, 22563, 267, 32715, 4315, 17903, 2745, 263, 529, 27349, 9852, 978, 267, 32715, 4315, 17903, 2745, 263, 529, 27349, 263, 11391, 272, 267, 10048, 4526, 17903, 2745, 263, 529, 27349, 263, 11391, 272, 267, 14946, 518, 17903, 5897, 5897, 258, 21296, 18472, 6769, 5035, 589, 6769, 825, 1780, 1477, 5035, 645, 6769, 825, 1780, 1477, 5035, 595, 10490, 32390, 8029, 825, 1780, 5897, 258, 25648, 7400, 18472, 6769, 5035, 667, 6769, 825, 1780, 1477, 5035, 661, 20573, 8029, 825, 1780, 1477, 5035, 674, 27887, 8029, 825, 1780, 5897, 258, 7090, 1281, 1100, 344, 723, 1569, 1110, 13294, 1523, 23228, 258, 2467, 568, 1100, 1523, 540, 12331, 538, 9226, 630, 1440, 10675, 267, 6870, 267, 1857, 1040, 1477, 258, 5472, 2818, 538, 513, 9226, 1362, 616, 1857, 676, 9949, 23228, 18851, 1477, 19702, 762, 1857, 1477, 318, 19702, 762, 318, 6870, 1523, 1477, 1029, 19702, 762, 1029, 4357, 1477, 18851, 5897, 258, 1478, 2903, 532, 543, 936, 32061, 1523, 568, 972, 538, 9226, 269, 5897, 5897, 5897, 24653, 0, 258, 21196, 271, 2190, 910, 3009, 4161, 4816, 4408, 1477, 5814, 556, 1477, 5228, 5895, 1104, 5895, 1477, 5814, 21795, 607, 19073, 1477, 5814, 21267, 28272, 607, 12301, 5897, 16344, 523, 1868, 815, 5895, 3488, 29688, 339, 868, 262, 10142, 258, 15105, 1239, 689, 476, 6642, 271, 512, 271, 476, 1001, 271, 543, 4946, 513, 6241, 3957, 1032, 1477, 258, 935, 13906, 523, 908, 782, 540, 519, 1239, 883, 2582, 1239, 18134, 1477, 321, 17879, 8217, 815, 32582, 5897, 328, 284, 272, 1477, 6112, 1775, 283, 263, 1001, 272, 268, 6942, 280, 8029, 825, 3758, 815, 1412, 344, 984, 262, 266, 1598, 263, 6942, 280, 266, 328, 11924, 8339, 339, 868, 262, 1477, 825, 10917, 32470, 815, 19073, 18667, 32269, 31526, 267, 4408, 284, 9131, 12849, 3299, 1412, 14054, 3299, 1412, 12248, 338, 11172, 3418, 825, 1032, 815, 703, 263, 516, 26098, 718, 16868, 262, 315, 323, 315, 323, 315, 323, 315, 323, 3299, 3758, 25011, 271, 316, 10142, 825, 10917, 32470, 9131, 20204, 11172, 815, 1032, 1477, 825, 4816, 8217, 6910, 6025, 11391, 32470, 3418, 825, 1775, 23785, 272, 5897, 4206, 815, 19073, 26769, 13906, 6357, 17879, 8217, 267, 7852, 284, 271, 267, 11716, 16229, 18989, 10142, 258, 12749, 476, 276, 4775, 543, 5256, 4816, 4408, 540, 519, 1032, 476, 1001, 271, 6769, 4206, 318, 1001, 271, 815, 17093, 314, 4206, 9131, 20204, 11172, 2525, 1001, 271, 15947, 325, 24580, 5332, 1868, 815, 17093, 318, 1001, 271, 314, 4206, 318, 1001, 271, 9131, 14054, 11172, 2525, 262, 293, 11172, 1477, 338, 9285, 6958, 655, 2297, 815, 4775, 5332, 1868, 31699, 28767, 3488, 12248, 338, 3299, 26799, 815, 8771, 267, 11716, 16229, 18989, 3418, 332, 1446, 5332, 1868, 815, 17093, 318, 1001, 271, 314, 4206, 318, 1001, 271, 9131, 14054, 11172, 2525, 262, 300, 11172, 1477, 338, 9285, 8548, 2297, 815, 5256, 5332, 1868, 31699, 28767, 3488, 12248, 338, 3299, 26799, 815, 8771, 267, 11716, 16229, 18989, 10142, 2745, 3488, 12749, 476, 276, 4775, 4816, 4408, 540, 519, 586, 320, 518, 476, 1001, 271, 616, 24097, 333, 3299, 15044, 6958, 655, 2297, 9131, 12849, 262, 4940, 3650, 263, 276, 17903, 2745, 3488, 12749, 476, 276, 5256, 4816, 4408, 540, 519, 586, 320, 518, 476, 1001, 271, 616, 24097, 333, 3299, 15044, 8548, 2297, 9131, 12849, 262, 6012, 271, 281, 276, 316, 10142, 258, 8999, 540, 519, 24570, 6241, 676, 4008, 607, 519, 2698, 1297, 540, 24570, 538, 602, 1032, 1477, 20204, 569, 14682, 29470, 815, 17093, 3052, 4981, 2421, 8443, 262, 20204, 12887, 14054, 11172, 1040, 12000, 20719, 262, 12248, 338, 262, 2433, 18358, 8999, 11172, 348, 3418, 2745, 3488, 17413, 3772, 4008, 12523, 540, 9002, 281, 3299, 21496, 14682, 29470, 10142, 258, 5522, 582, 547, 1397, 4008, 12523, 1032, 3772, 6769, 20204, 569, 14682, 29470, 19502, 263, 11779, 8782, 8663, 3299, 30528, 25716, 3418, 20204, 569, 14682, 29470, 23584, 263, 736, 1040, 7120, 263, 11779, 8782, 8663, 262, 10142, 258, 2690, 2698, 5256, 543, 4775, 1293, 2094, 4358, 1032, 547, 1439, 1032, 585, 2898, 1239, 1477, 20135, 8548, 2297, 815, 17093, 314, 4206, 9131, 14054, 11172, 2525, 262, 300, 262, 6012, 262, 12248, 338, 262, 4940, 8999, 14052, 20135, 6958, 655, 2297, 815, 17093, 314, 4206, 9131, 14054, 11172, 2525, 262, 293, 262, 6012, 262, 12248, 338, 262, 4940, 8999, 14052, 0, 258, 21196, 271, 4391, 267, 4303, 271, 4343, 267, 4303, 271, 4375, 910, 28547, 1239, 547, 25948, 6041, 1477, 5814, 21795, 607, 19073, 1477, 4206, 815, 19073, 18667, 32269, 3488, 21946, 776, 318, 12218, 2305, 27406, 262, 10142, 4206, 17482, 1477, 4206, 31815, 8435, 6745, 565, 626, 14052, 4206, 18994, 333, 1638, 14061, 1415, 263, 9471, 284, 271, 3418, 4206, 6155, 18196, 5897, 258, 10623, 2137, 543, 10297, 281, 5897, 10623, 2137, 815, 17093, 269, 559, 665, 18020, 271, 281, 275, 4940, 11161, 1477, 18350, 1564, 815, 17093, 269, 559, 665, 11468, 16427, 272, 4940, 11161, 5897, 258, 24119, 3477, 9587, 1477, 258, 933, 991, 547, 6460, 28547, 1239, 547, 25948, 6041, 1477, 258, 523, 13892, 938, 28547, 1239, 538, 25948, 1477, 258, 821, 14653, 16780, 5317, 5897, 258, 16769, 9847, 23876, 630, 300, 16017, 3009, 264, 9847, 6771, 9847, 1232, 1712, 9847, 9623, 1477, 5228, 28189, 269, 2181, 30112, 1104, 2290, 31640, 21886, 18344, 1477, 5228, 28189, 2593, 2821, 1104, 28758, 9558, 845, 518, 5897, 290, 318, 9558, 845, 518, 815, 28758, 9558, 845, 518, 8443, 3488, 16780, 18344, 3299, 2290, 31640, 21886, 18344, 19572, 1496, 271, 8079, 3910, 14230, 815, 1412, 335, 553, 560, 327, 893, 262, 10142, 5814, 11885, 607, 5286, 1477, 10623, 2137, 815, 5286, 15126, 18154, 318, 9558, 845, 518, 32265, 4671, 4920, 845, 6600, 324, 2137, 1070, 546, 6943, 815, 5286, 269, 15615, 3953, 3418, 258, 323, 16244, 4632, 2813, 547, 1711, 1007, 9587, 799, 941, 711, 4505, 263, 271, 267, 476, 272, 1299, 476, 273, 3418, 258, 271, 910, 4886, 6241, 267, 476, 272, 910, 13281, 6241, 1299, 476, 273, 910, 772, 311, 6241, 5897, 10623, 2137, 815, 2934, 18020, 272, 281, 316, 1948, 1729, 4894, 32118, 7933, 8817, 4756, 649, 6569, 476, 272, 560, 6241, 5897, 258, 30221, 1449, 8237, 1477, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 1477, 10623, 2137, 17601, 267, 2934, 15305, 267, 10297, 17601, 267, 10297, 15305, 815, 5721, 15305, 5334, 5902, 6600, 324, 2137, 267, 10297, 267, 1449, 15481, 815, 476, 271, 269, 274, 267, 4351, 26077, 815, 476, 271, 10142, 258, 10623, 1155, 18440, 270, 7538, 1436, 910, 21506, 5228, 28189, 269, 2181, 30112, 1104, 9208, 306, 5632, 518, 1477, 2675, 815, 9208, 306, 5632, 518, 31476, 10623, 2137, 17601, 815, 1085, 32265, 4671, 4920, 845, 6600, 324, 2137, 17601, 3418, 258, 10177, 1456, 1239, 910, 476, 3583, 260, 1477, 258, 7257, 25341, 1611, 267, 31901, 1477, 258, 10520, 845, 25341, 4542, 5897, 10623, 2137, 15305, 815, 1085, 6745, 4920, 845, 6600, 324, 2137, 15305, 3418, 258, 11687, 532, 1239, 476, 476, 1789, 260, 1477, 258, 7257, 4671, 4920, 845, 267, 3514, 910, 1611, 267, 31901, 689, 713, 476, 736, 260, 1239, 1152, 1477, 258, 10520, 845, 910, 1611, 267, 31901, 689, 5721, 1239, 5897, 5228, 28189, 269, 15035, 31200, 1104, 12430, 8802, 1833, 1477, 2958, 1833, 815, 12430, 8802, 1833, 3890, 1948, 22056, 606, 1843, 5897, 2958, 1833, 32265, 6600, 324, 2137, 17601, 267, 10297, 17601, 10142, 335, 9438, 539, 815, 9695, 4877, 9438, 6600, 324, 2137, 15305, 10142, 335, 323, 6185, 1092, 20988, 18750, 760, 9638, 9438, 539, 267, 10297, 15305, 264, 10142, 335, 9438, 539, 17601, 815, 9695, 4877, 9438, 6600, 324, 2137, 17601, 10142, 335, 323, 6185, 1092, 20988, 18750, 760, 9638, 9438, 539, 17601, 267, 10297, 17601, 264, 10142, 258, 2958, 1833, 269, 16557, 6600, 324, 2137, 15305, 267, 10567, 264, 910, 786, 2285, 835, 1152, 7790, 286, 1477, 258, 16557, 910, 6111, 1477, 30221, 318, 3147, 5596, 815, 9695, 269, 16557, 6600, 324, 2137, 17601, 267, 10297, 17601, 3418, 11687, 318, 3147, 5596, 815, 9695, 269, 16557, 6600, 324, 2137, 15305, 267, 10297, 15305, 10142, 2745, 3488, 5978, 2203, 8036, 6111, 568, 281, 1412, 266, 1598, 6025, 1778, 318, 3147, 5596, 265, 1911, 11924, 262, 260, 20298, 2745, 3488, 5978, 2203, 7318, 6111, 568, 281, 1412, 266, 1598, 6025, 652, 318, 3147, 5596, 265, 1911, 11924, 262, 260, 262, 10142, 258, 3086, 267, 17782, 585, 1007, 2934, 6769, 2958, 1833, 32265, 6600, 324, 2137, 267, 10297, 3418, 343, 815, 1496, 9131, 14946, 618, 3299, 476, 8099, 271, 267, 476, 273, 267, 476, 274, 3910, 18358, 308, 311, 3299, 476, 7742, 271, 267, 476, 274, 267, 476, 275, 269, 277, 3910, 18358, 14818, 532, 3299, 476, 5197, 271, 267, 476, 273, 267, 476, 272, 269, 273, 14963, 1477, 343, 815, 5286, 15126, 3287, 3418, 343, 815, 5286, 15126, 18154, 318, 9558, 845, 518, 6745, 4920, 845, 3287, 1070, 546, 6943, 815, 5286, 269, 15615, 3953, 3418, 343, 815, 1535, 18020, 272, 281, 15947, 258, 10520, 845, 1477, 2958, 1833, 4877, 9438, 3287, 10142, 258, 21982, 3403, 547, 3589, 1477, 344, 815, 20886, 1598, 9272, 3488, 11767, 707, 4972, 1851, 891, 1614, 24097, 333, 14946, 618, 14826, 14818, 532, 14826, 308, 311, 281, 1422, 333, 10807, 1070, 703, 9272, 3488, 11767, 707, 2698, 960, 2944, 538, 3108, 281, 1412, 24270, 703, 9272, 3488, 11767, 1297, 540, 24501, 2944, 676, 596, 281, 1412, 24270, 10581, 9272, 3488, 11767, 707, 1296, 540, 1995, 281, 1412, 4297, 14963, 1477, 344, 815, 5286, 15126, 12169, 3418, 344, 815, 5286, 15126, 18154, 318, 9558, 845, 518, 6745, 4920, 845, 12169, 1070, 546, 6943, 815, 5286, 269, 15615, 3953, 3418, 344, 815, 586, 18020, 272, 281, 15947, 2958, 1833, 4877, 9438, 12169, 10142, 4649, 274, 8660, 269, 279, 3607, 267, 476, 277, 7176, 2918, 269, 9032, 2073, 476, 3607, 277, 6734, 269, 276, 2767, 0, 258, 10059, 2517, 2889, 915, 324, 17526, 14492, 24579, 12378, 284, 274, 454, 258, 22772, 519, 4102, 6305, 2630, 513, 1978, 1297, 454, 18257, 3698, 2215, 3287, 2187, 453, 328, 24210, 454, 453, 8063, 815, 834, 325, 4840, 453, 6112, 6936, 912, 453, 453, 328, 268, 284, 272, 454, 453, 453, 329, 284, 273, 454, 453, 453, 6112, 630, 329, 27045, 1037, 9217, 1262, 271, 269, 276, 266, 272, 15892, 4848, 14851, 9217, 260, 329, 2525, 271, 2187, 15235, 14851, 9217, 2525, 274, 2187, 20930, 13537, 834, 274, 568, 519, 4102, 6305, 2630, 14307, 343, 454, 20930, 453, 8063, 815, 834, 28062, 4840, 20930, 453, 19874, 454, 15235, 453, 19197, 9217, 2525, 273, 2187, 20930, 13537, 834, 273, 568, 519, 4102, 6305, 2630, 14307, 343, 454, 20930, 453, 8063, 815, 834, 28062, 4840, 20930, 453, 19874, 454, 15235, 28432, 912, 20930, 453, 19874, 454, 258, 4848, 28432, 912, 258, 15235, 13537, 1775, 25814, 454, 258, 15235, 13537, 5180, 9217, 1262, 271, 269, 276, 266, 273, 994, 258, 15235, 453, 329, 23785, 272, 454, 4848, 453, 19197, 27203, 2525, 1037, 9217, 1262, 271, 269, 276, 266, 272, 15892, 15235, 453, 8063, 815, 834, 28062, 4840, 15235, 13537, 1775, 267, 834, 529, 519, 4102, 6305, 2630, 2580, 343, 454, 15235, 453, 19874, 454, 4848, 28432, 912, 15235, 453, 329, 23785, 272, 454, 453, 14851, 263, 8063, 2652, 834, 28062, 257, 2187, 4848, 453, 19874, 454, 27146, 263, 7785, 5952, 272, 275, 4037, 16960, 264, 18257, 7531, 258 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2296, 269, 634, 29395, 538, 1325, 604, 645, 12711, 3568, 2296, 547, 12428, 543, 12428, 547, 2296, 267, 1818, 621, 1360, 2653, 585, 513, 19444, 547, 12398, 519, 2262, 789, 2461, 3168, 585, 563, 2691, 513, 2875, 20021, 689, 1210, 1325, 604, 645, 12711, 267, 789, 616, 1287, 5189, 547, 1325, 918, 7534, 629, 851, 835, 269, 1325, 918, 7534, 629, 568, 513, 22082, 538, 922, 2361, 538, 602, 674, 2313, 320, 630, 20598, 12428, 1070, 16549, 686, 630, 292, 5118, 1014, 13172, 1070, 543, 1744, 9564, 630, 8867, 2779, 710, 13172, 264, 616, 782, 12286, 538, 835, 1433, 269, 634, 6863, 8638, 267, 27573, 676, 2681, 267, 1459, 782, 1614, 3029, 2427, 8386, 20933, 630, 684, 1652, 267, 540, 1576, 267, 519, 2262, 1281, 711, 2291, 538, 835, 540, 519, 22463, 1040, 769, 1840, 547, 811, 6863, 267, 1325, 918, 7534, 629, 2228, 814, 7044, 602, 1459, 2984, 827, 3197, 543, 741, 1554, 547, 1554, 1272, 269, 901, 2882, 10067, 320, 543, 10609, 19981, 267, 3254, 538, 1312, 674, 2313, 320, 543, 16549, 686, 7044, 267, 543, 715, 529, 2240, 543, 570, 926, 336, 538, 519, 1744, 9564, 7044, 269, 2991, 11264, 1325, 918, 7534, 629, 851, 835, 267, 1053, 3356, 547, 851, 1079, 267, 1287, 851, 1614, 9935, 269, 634, 1482, 3197, 616, 1031, 538, 519, 1650, 1467, 609, 4351, 18596, 11051, 538, 20775, 1236, 1080, 269, 3958, 267, 1310, 851, 835, 267, 972, 568, 1100, 3476, 606, 2296, 547, 12428, 29395, 563, 3682, 338, 543, 3117, 454, 296, 723, 1044, 1210, 1325, 918, 7534, 629, 585, 519, 2063, 2185, 5033, 22246, 267, 543, 594, 993, 4867, 28870, 998, 1325, 918, 7534, 629, 851, 1079, 269, 1280, 602, 2601, 267, 594, 786, 1152, 581, 5466, 519, 1101, 1614, 2835, 563, 2467, 568, 6157, 1100, 17732, 540, 6863, 8659, 538, 1142, 1433, 269, 1325, 604, 645, 12711, 3568, 1472, 476, 1220, 1913, 267, 851, 835, 3568, 936, 476, 6110, 1913, 267, 543, 851, 1079, 3568, 513, 2147, 2179, 547, 851, 835, 269, 21771, 2039, 689, 2951, 547, 3001, 547, 11776, 282, 1053, 6157, 2744, 513, 2647, 4560, 540, 6863, 689, 519, 2835, 563, 2704, 604, 645, 12711, 607, 606, 4985, 454, 7197, 824, 12428, 1837, 3126, 798, 711, 979, 883, 5176, 607, 1454, 1469, 607, 1325, 604, 645, 12711, 269, 1635, 3246, 513, 1433, 4481, 585, 1346, 14542, 609, 519, 12428, 9904, 267, 519, 4589, 723, 1500, 621, 4443, 585, 12428, 6267, 547, 723, 513, 23887, 1995, 689, 4098, 547, 1439, 269, 898, 1058, 581, 7074, 602, 594, 6785, 519, 9904, 1354, 4358, 5049, 269, 5221, 540, 713, 267, 594, 23222, 7458, 998, 519, 1101, 1433, 282, 1866, 1522, 711, 723, 713, 1995, 269, 23657, 1259, 267, 594, 729, 3507, 894, 540, 1325, 604, 645, 12711, 585, 922, 3015, 29395, 267, 6037, 3438, 725, 267, 543, 3730, 2228, 1543, 563, 293, 2716, 2225, 585, 5584, 832, 454, 10303, 519, 1433, 3091, 1614, 1114, 22463, 267, 20485, 666, 3442, 1018, 789, 1131, 899, 547, 11168, 269, 901, 2306, 2631, 538, 602, 1034, 12428, 10529, 798, 711, 946, 674, 2313, 320, 538, 1554, 3562, 6377, 6643, 269, 2060, 782, 1614, 2139, 267, 20485, 666, 946, 674, 2313, 320, 585, 2854, 10467, 543, 824, 22463, 585, 9275, 10467, 269, 3958, 267, 5356, 1312, 1744, 9564, 543, 16549, 686, 2636, 585, 1169, 2875, 538, 606, 12428, 8257, 547, 946, 519, 1482, 1433, 269, 901, 2306, 621, 4443, 547, 1353, 609, 1866, 1256, 952, 596, 616, 538, 5049, 602, 1445, 593, 1114, 22463, 563, 2704, 918, 7534, 629, 568, 29200, 585, 2348, 24631, 6863, 950, 621, 2501, 547, 1483, 3734, 3871, 281, 519, 2262, 585, 519, 2136, 8315, 568, 5189, 1354, 1022, 540, 519, 4778, 269, 1280, 1346, 602, 723, 4121, 824, 2413, 4654, 267, 713, 568, 9490, 269, 769, 6093, 1893, 5049, 267, 1053, 6108, 519, 1101, 1032, 1565, 4052, 1913, 543, 2453, 267, 899, 875, 547, 6338, 3054, 267, 875, 547, 4766, 707, 1920, 267, 875, 547, 1931, 538, 513, 13962, 267, 543, 875, 547, 2995, 519, 942, 563, 2704, 918, 7534, 629, 23297, 547, 1445, 593, 21372, 6863, 2864, 982, 3246, 6863, 585, 4948, 4205, 269, 3509, 723, 29499, 602, 519, 1433, 568, 28110, 811, 4724, 6721, 3318, 674, 2313, 320, 6037, 2209, 982, 3450, 596, 875, 547, 5968, 538, 1483, 1272, 269, 898, 568, 1256, 811, 9490, 950, 596, 1413, 693, 519, 968, 29442, 525, 892, 585, 519, 4559, 269, 2755, 930, 616, 811, 23887, 267, 1866, 616, 4625, 4351, 269, 1280, 1383, 267, 835, 3184, 1522, 1445, 593, 851, 3539, 267, 5986, 267, 543, 4160, 1107, 3584, 602, 3100, 547, 711, 581, 5532, 269, 9406, 1310, 2501, 513, 3184, 827, 5061, 267, 1973, 267, 543, 1920, 2818, 269, 634, 3668, 540, 22122, 1063, 6863, 1913, 538, 519, 1482, 1770, 2306, 621, 2352, 547, 723, 10467, 602, 1445, 593, 1175, 835, 1770, 563, 2704, 918, 7534, 629, 1281, 711, 3100, 547, 917, 602, 922, 3755, 616, 1034, 5432, 609, 2296, 8239, 269, 13298, 267, 519, 1433, 786, 2491, 12428, 8239, 607, 952, 621, 814, 1100, 6935, 547, 2296, 8239, 267, 1818, 519, 1184, 1256, 9875, 585, 1346, 602, 6560, 609, 8239, 538, 519, 1101, 1747, 269, 1280, 1383, 267, 950, 1565, 827, 1102, 8181, 1161, 630, 1729, 2196, 267, 547, 3717, 267, 3092, 1070, 519, 1433, 2760, 4016, 547, 873, 607, 971, 269, 6736, 519, 1249, 602, 1034, 2296, 10529, 910, 18034, 1346, 602, 723, 6594, 1776, 1893, 268, 666, 2697, 1018, 606, 31208, 1438, 568, 267, 1325, 918, 7534, 629, 3085, 1406, 3801, 547, 946, 519, 2165, 269, 30052, 267, 2296, 543, 12428, 8239, 616, 711, 519, 1482, 269, 1717, 267, 519, 1433, 1131, 581, 513, 2603, 811, 3015, 952, 621, 1185, 2296, 8239, 3741, 538, 2247, 563, 296, 666, 1174, 1018, 519, 4589, 941, 12394, 547, 798, 609, 519, 3197, 789, 2813, 269, 1635, 11744, 875, 547, 946, 519, 6863, 538, 513, 968, 9418, 3734, 3510, 2223, 621, 1500, 1018, 649, 941, 1565, 3100, 811, 10858, 269, 634, 7044, 267, 2705, 267, 616, 22573, 267, 1835, 16636, 3917, 267, 543, 15587, 7168, 24631, 269, 3733, 15032, 543, 594, 941, 811, 16539, 538, 1818, 24668, 827, 519, 7044, 982, 2965, 1565, 4376, 689, 873, 269, 634, 1650, 6050, 849, 1810, 1406, 1118, 513, 2603, 540, 2631, 282, 1247, 713, 3884, 1406, 20248, 32485, 519, 1565, 1184, 267, 8242, 7044, 1223, 4497, 609, 543, 4001, 1053, 1732, 563, 296, 723, 16916, 930, 540, 891, 5294, 543, 931, 998, 8039, 267, 15032, 267, 543, 1250, 1378, 1995, 269, 4475, 267, 891, 8369, 616, 711, 8471, 269, 1703, 616, 7899, 540, 1004, 602, 3494, 1325, 918, 7534, 629, 568, 519, 1655, 12428, 1837, 3126, 593, 519, 2344, 269, 898, 1175, 4422, 547, 1397, 875, 16148, 1893, 1565, 568, 282, 585, 803, 267, 1325, 918, 7534, 629, 1281, 2370, 811, 982, 1683, 4351, 6863, 543, 14605, 8647, 2228, 2238, 269, 17859, 267, 594, 723, 1869, 4121, 7899, 540, 12428, 543, 666, 946, 519, 1983, 6591, 689, 1325, 918, 7534, 629, 543, 4019, 873, 547, 1250, 4830, 1353, 540, 519, 1893, 563, 13425, 856, 6259, 3013, 779, 5816, 1934, 256, 0, 4322, 12267, 616, 782, 942, 5172, 10374, 12267, 585, 8866, 609, 26874, 543, 3407, 4245, 454, 763, 595, 7342, 16737, 454, 16524, 3516, 538, 513, 26570, 972, 5030, 513, 16737, 269, 1261, 729, 1360, 17237, 269, 1261, 729, 538, 3406, 540, 1426, 563, 306, 19488, 646, 4718, 513, 623, 15607, 517, 9361, 593, 513, 3529, 269, 634, 16737, 729, 8572, 547, 18214, 519, 3529, 563, 3383, 646, 2219, 513, 1544, 543, 1767, 547, 519, 25190, 517, 602, 968, 15916, 6004, 269, 623, 15607, 517, 594, 993, 513, 28034, 540, 2696, 269, 1280, 1631, 267, 27477, 1100, 3662, 786, 3548, 824, 2831, 269, 22067, 1524, 1577, 779, 8661, 3034, 21413, 3206, 585, 513, 1247, 519, 623, 15607, 517, 2968, 6126, 676, 1010, 1913, 543, 3357, 1524, 547, 8661, 269, 1306, 4166, 607, 519, 623, 15607, 517, 3357, 1524, 267, 519, 16737, 17696, 519, 623, 15607, 517, 543, 4682, 2476, 454, 763, 26874, 540, 519, 9452, 568, 1107, 8550, 3972, 513, 16995, 12287, 693, 1022, 4090, 454, 31568, 519, 10266, 614, 454, 5629, 2390, 513, 942, 538, 513, 8498, 267, 972, 5030, 513, 18048, 3957, 10793, 269, 1261, 729, 513, 2182, 11832, 543, 2943, 1310, 2324, 519, 2898, 1554, 646, 3085, 1406, 723, 2614, 2724, 547, 3548, 1614, 2053, 513, 1554, 563, 3080, 1554, 513, 28867, 867, 538, 602, 8498, 1572, 1864, 543, 4280, 1864, 547, 5862, 1010, 10935, 269, 634, 2179, 729, 6378, 693, 476, 5611, 271, 536, 15085, 563, 763, 1985, 10793, 3323, 547, 5862, 519, 10935, 269, 22582, 646, 4718, 513, 8559, 538, 602, 10935, 269, 1261, 5612, 6378, 621, 543, 13556, 519, 2898, 10935, 563, 763, 28867, 867, 4718, 519, 10935, 543, 4280, 1864, 547, 2097, 14182, 547, 2445, 1010, 2724, 563, 763, 28867, 867, 779, 1920, 4682, 585, 513, 11878, 538, 602, 10935, 269, 2991, 930, 942, 519, 22700, 540, 602, 28867, 867, 8452, 543, 4280, 827, 1010, 1920, 563, 763, 22700, 1287, 27086, 543, 1767, 968, 306, 597, 602, 10935, 814, 513, 8559, 538, 621, 269, 898, 786, 16173, 585, 2386, 3034, 306, 3019, 519, 28867, 867, 779, 1920, 8452, 9108, 543, 789, 1767, 602, 519, 10935, 2348, 1100, 8559, 538, 621, 563, 763, 8092, 331, 867, 1287, 9684, 539, 10793, 1317, 646, 1223, 18178, 1273, 4221, 519, 8559, 610, 723, 4280, 3063, 2724, 585, 602, 855, 267, 10793, 1373, 9237, 812, 2944, 1010, 2816, 25473, 543, 4607, 5595, 8569, 607, 513, 10516, 454, 763, 26874, 540, 519, 9452, 568, 1107, 4518, 12968, 652, 569, 543, 596, 786, 15983, 1205, 707, 10516, 2221, 610, 14182, 563, 5415, 2984, 585, 3214, 616, 2016, 2630, 454, 763, 717, 7517, 344, 17164, 762, 590, 11839, 454, 16524, 3516, 538, 513, 8498, 267, 972, 5030, 513, 10448, 22673, 3957, 20717, 563, 3891, 814, 1010, 3484, 1141, 646, 7472, 5214, 543, 2635, 5388, 543, 23619, 538, 519, 3003, 8498, 563, 18814, 547, 519, 1164, 3747, 585, 5388, 267, 20717, 779, 5388, 941, 711, 2614, 585, 519, 3003, 8498, 563, 3891, 14659, 602, 1813, 547, 1164, 3747, 543, 1250, 1447, 7274, 540, 5388, 267, 1004, 786, 4444, 689, 1776, 8498, 563, 3383, 267, 20717, 3323, 547, 2322, 6464, 593, 1010, 3484, 865, 602, 646, 949, 1205, 513, 1164, 7274, 540, 5388, 269, 17652, 1813, 547, 6464, 267, 646, 729, 3478, 811, 5388, 543, 1287, 646, 6368, 3323, 547, 6133, 538, 519, 3003, 8498, 563, 5475, 513, 3018, 782, 519, 27142, 3893, 2192, 543, 32357, 2509, 519, 6413, 269, 634, 4387, 1336, 602, 713, 568, 1317, 540, 6464, 543, 1287, 782, 27142, 6956, 945, 568, 1210, 6464, 563, 763, 1985, 1554, 950, 20717, 729, 4758, 6464, 547, 1010, 3484, 519, 27142, 9575, 1864, 2699, 26370, 689, 602, 1554, 1100, 835, 1207, 903, 5388, 689, 20717, 454, 763, 26874, 540, 519, 9452, 568, 1107, 717, 7517, 1465, 786, 2014, 596, 513, 5458, 2530, 454, 763, 674, 944, 880, 29838, 454, 5629, 2390, 513, 942, 538, 513, 26570, 972, 5030, 513, 1895, 540, 29838, 338, 538, 513, 2620, 1134, 269, 634, 1134, 729, 4092, 538, 519, 1647, 540, 519, 808, 21819, 563, 16449, 519, 1895, 540, 519, 20883, 267, 972, 729, 513, 18174, 880, 13855, 543, 3025, 2306, 1187, 540, 1010, 18174, 880, 1145, 563, 3080, 1554, 519, 18174, 880, 13855, 2219, 547, 4001, 782, 519, 29838, 338, 513, 3992, 269, 2701, 1287, 4682, 3544, 519, 1134, 547, 1118, 11505, 609, 513, 6793, 3662, 563, 9515, 4718, 513, 13131, 543, 1287, 1352, 4682, 2282, 1864, 543, 1767, 968, 15916, 31315, 269, 594, 1616, 547, 1118, 11505, 609, 596, 1848, 634, 31315, 561, 13774, 1117, 543, 1767, 594, 3548, 20883, 1169, 1554, 855, 1946, 798, 596, 1616, 547, 1118, 11505, 609, 803, 286, 634, 29838, 5143, 1864, 827, 1200, 14763, 3330, 519, 1134, 563, 763, 29838, 1256, 5143, 1864, 519, 1259, 547, 519, 1134, 269, 634, 31315, 3357, 3330, 519, 1134, 543, 17696, 909, 782, 519, 14763, 540, 602, 13855, 269, 1809, 267, 519, 29838, 1767, 267, 968, 5472, 1250, 14763, 616, 936, 1631, 596, 723, 547, 4734, 713, 1747, 3034, 763, 31315, 561, 13774, 1117, 543, 1767, 968, 2791, 18174, 880, 29838, 267, 1215, 666, 594, 4413, 713, 4316, 547, 3548, 782, 891, 29838, 338, 892, 590, 11691, 713, 519, 31315, 17696, 782, 519, 29838, 338, 543, 1256, 13881, 519, 674, 944, 880, 29838, 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 ]

[ 994, 567, 910, 476, 272, 7484, 11877, 8645, 454, 567, 910, 476, 1626, 12063, 20220, 540, 521, 1023, 320, 2357, 1372, 454, 567, 910, 476, 272, 7484, 27054, 4765, 524, 1117, 323, 541, 10381, 454, 567, 910, 476, 272, 7484, 27054, 4765, 3933, 614, 9445, 10793, 10381, 454, 567, 910, 476, 272, 268, 273, 4195, 795, 531, 1901, 25123, 18717, 267, 5452, 6569, 543, 22872, 630, 28436, 267, 585, 3773, 3002, 2020, 273, 269, 16259, 519, 29380, 344, 22556, 912, 567, 513, 269, 24953, 909, 513, 1804, 1236, 32576, 936, 5420, 3002, 543, 1039, 519, 7423, 269, 4495, 621, 5283, 1206, 267, 19184, 538, 519, 1295, 1027, 13342, 269, 590, 2246, 2946, 2394, 11344, 6960, 855, 581, 6297, 711, 547, 6633, 621, 256, 8738, 660, 13342, 666, 6492, 15280, 563, 825, 454, 567, 536, 269, 1879, 707, 10051, 6238, 1159, 2454, 899, 6095, 5585, 344, 13140, 267, 2569, 519, 3002, 5594, 543, 3575, 538, 519, 8645, 10381, 18695, 269, 853, 597, 9900, 2394, 519, 8645, 10381, 2571, 839, 543, 3587, 5347, 563, 825, 454, 567, 524, 269, 3767, 1577, 781, 3142, 593, 519, 8126, 1465, 256, 5410, 835, 7484, 540, 11877, 8645, 547, 519, 3443, 543, 13489, 1134, 865, 3388, 10905, 23182, 563, 825, 454, 567, 546, 269, 32449, 538, 519, 3003, 20220, 540, 521, 1023, 320, 2357, 1372, 269, 898, 1522, 1413, 6204, 6853, 693, 1101, 267, 855, 1810, 1405, 5855, 282, 649, 2811, 4946, 1945, 9589, 4166, 1862, 3832, 3150, 2336, 825, 454, 567, 552, 269, 14109, 30257, 1312, 5686, 540, 27054, 4765, 10381, 14961, 2066, 519, 7848, 269, 5901, 28817, 7444, 2394, 519, 10381, 4628, 5283, 1206, 543, 5932, 513, 561, 639, 19290, 27598, 9403, 269, 1403, 596, 9364, 899, 547, 24996, 1919, 909, 267, 1039, 1346, 22872, 795, 531, 1901, 10722, 657, 1631, 2336, 825, 454, 567, 535, 269, 12315, 621, 513, 3803, 6492, 1449, 269, 10261, 811, 6070, 286, 17797, 9935, 269, 1809, 3314, 267, 519, 16702, 781, 10366, 786, 14556, 1518, 607, 621, 3579, 338, 1524, 780, 306, 2925, 713, 22023, 626, 1043, 844, 525, 334, 609, 5743, 6853, 12475, 8759, 13365, 610, 17724, 773, 16853, 585, 1019, 6137, 269, 15188, 2451, 13569, 630, 604, 972, 616, 1022, 14386, 538, 606, 2011, 31259, 8708, 538, 519, 26806, 585, 909, 547, 1614, 2395, 269, 1677, 556, 17742, 267, 1402, 621, 1394, 538, 513, 3636, 1236, 32576, 610, 17196, 2394, 979, 4141, 344, 1586, 269, 17949, 2439, 21841, 715, 778, 657, 281, 12706, 2659, 13574, 9457, 12328, 692, 272, 269, 11814, 707, 5172, 547, 25940, 912, 567, 910, 32202, 8759, 13365, 454, 567, 910, 4676, 3072, 10365, 610, 3109, 10365, 454, 567, 910, 1744, 1042, 4765, 9269, 610, 2666, 14132, 267, 11273, 543, 19023, 609, 512, 23147, 4005, 532, 454, 567, 910, 12397, 737, 1716, 1564, 267, 27071, 952, 27574, 454, 567, 910, 932, 641, 6244, 14274, 454, 567, 910, 590, 997, 539, 10153, 1161, 454, 567, 910, 667, 5367, 2699, 19637, 454, 567, 910, 2871, 659, 600, 1961, 610, 30000, 25636, 454, 567, 910, 590, 712, 8645, 454, 567, 910, 717, 3603, 10381, 630, 3481, 323, 541, 267, 3933, 614, 9445, 10793, 267, 610, 6809, 5336, 1410, 11100, 960, 1390, 994, 567, 910, 8838, 1308, 281, 795, 531, 1901, 10722, 657, 267, 521, 1023, 320, 267, 610, 824, 5551, 21959, 8460, 692, 273, 269, 1306, 14517, 707, 2706, 562, 778, 657, 912, 567, 513, 269, 2776, 17742, 707, 14089, 547, 476, 6110, 13790, 630, 13078, 9180, 1040, 28081, 12475, 8759, 13365, 593, 513, 11256, 6656, 20898, 609, 533, 1105, 618, 1957, 610, 11956, 23240, 269, 5269, 2386, 519, 13365, 16937, 30194, 547, 2061, 521, 17344, 1465, 563, 825, 454, 567, 536, 269, 5384, 547, 4494, 256, 4634, 569, 15814, 1201, 3072, 10365, 267, 11273, 5779, 267, 543, 8970, 936, 519, 13365, 269, 9255, 873, 896, 519, 2156, 8814, 585, 476, 274, 268, 276, 3764, 610, 2394, 12699, 998, 269, 13772, 5702, 547, 2327, 1100, 8781, 4386, 563, 825, 454, 567, 524, 269, 17179, 519, 26745, 689, 519, 14089, 5402, 1210, 14089, 5378, 1206, 269, 15147, 519, 6106, 609, 1989, 730, 10381, 1247, 1869, 3905, 865, 621, 5283, 1206, 3362, 269, 17776, 547, 519, 14089, 585, 1776, 476, 273, 268, 274, 3764, 2394, 519, 10381, 7140, 11164, 29087, 543, 11344, 6960, 563, 825, 454, 567, 546, 269, 7053, 267, 30164, 707, 20100, 676, 20057, 1782, 22872, 14274, 267, 30000, 10153, 1161, 267, 546, 5367, 2699, 19637, 267, 1368, 659, 600, 1961, 267, 543, 11877, 8645, 593, 1283, 269, 18461, 1863, 547, 21160, 1759, 593, 2123, 7375, 543, 8192, 2115, 269, 31160, 5612, 543, 2007, 883, 519, 17175, 1623, 21620, 540, 16919, 2439, 3086, 602, 596, 917, 875, 547, 627, 760, 909, 891, 9735, 11204, 12608, 9088, 267, 16436, 2828, 543, 1920, 936, 585, 513, 12300, 535, 625, 3279, 4904, 609, 17409, 267, 1187, 7391, 267, 543, 6909, 1426, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2252, 596, 2461, 10478, 585, 1007, 10346, 585, 707, 1985, 28037, 1723, 632, 25832, 535, 625, 3279, 267, 713, 1592, 540, 11204, 12608, 9088, 814, 596, 4988, 563, 5804, 8970, 19997, 543, 986, 329, 553, 598, 1212, 2742, 547, 562, 778, 657, 543, 9910, 1532, 584, 761, 657, 267, 891, 2757, 11204, 8286, 616, 15983, 8106, 596, 1616, 547, 3605, 269, 5213, 1406, 7340, 827, 546, 2354, 1107, 1932, 563, 5472, 540, 891, 10346, 616, 2653, 547, 1118, 267, 14095, 609, 8137, 267, 543, 789, 3580, 1832, 707, 14538, 4947, 1394, 585, 811, 563, 1432, 779, 519, 3501, 9311, 2939, 585, 12475, 8759, 13365, 286, 901, 22925, 844, 525, 334, 563, 763, 8645, 10381, 543, 11877, 8645, 1118, 713, 16702, 522, 4141, 344, 30559, 4141, 344, 543, 8949, 269, 1656, 519, 521, 1023, 320, 2357, 1372, 543, 795, 531, 777, 523, 334, 18717, 2285, 621, 513, 14736, 563, 2005, 779, 2731, 2653, 267, 1932, 269, 3807, 6960, 519, 13342, 543, 1039, 519, 1964, 540, 519, 5820, 547, 519, 3443, 563, 10190, 1118, 2386, 519, 10381, 568, 24268, 267, 543, 596, 2461, 1434, 547, 979, 269, 1924, 267, 1930, 513, 9126, 540, 13365, 543, 1205, 1019, 6137, 563, 6349, 269, 715, 778, 657, 10966, 454, 8170, 782, 519, 11204, 12608, 6500, 10346, 585, 513, 535, 625, 3279, 267, 562, 778, 657, 616, 15069, 519, 5929, 3903, 563, 3383, 1205, 6273, 543, 4584, 707, 5172, 547, 25940, 547, 1628, 519, 10700, 968, 338, 1575, 3153, 892, 562, 778, 657, 269, 11110, 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, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 1185, 513, 11315, 1554, 19108, 269, 1548, 5949, 2496, 7692, 281, 7937, 267, 28624, 7705, 269, 23010, 267, 621, 729, 9157, 269, 2368, 7853, 2228, 5206, 930, 1611, 1919, 827, 803, 267, 1256, 1498, 789, 1810, 1406, 2731, 917, 803, 780, 8334, 281, 2334, 4992, 10413, 995, 269, 1809, 798, 596, 1589, 596, 917, 945, 713, 1268, 568, 610, 952, 789, 2461, 1373, 9237, 827, 741, 3961, 2496, 7692, 281, 3143, 267, 594, 1810, 1406, 269, 1358, 941, 15720, 3297, 513, 16995, 27024, 780, 8334, 281, 13259, 267, 865, 789, 941, 4440, 3843, 547, 581, 20822, 269, 1411, 1294, 267, 3006, 1004, 2161, 1919, 8335, 950, 789, 666, 12404, 945, 789, 616, 269, 901, 1522, 1118, 873, 3100, 2909, 591, 982, 789, 2965, 616, 267, 799, 666, 1291, 547, 15490, 8292, 610, 10385, 780, 7692, 281, 1924, 1018, 666, 649, 1451, 689, 713, 286, 1215, 666, 594, 4308, 609, 971, 3871, 1732, 2496, 8334, 281, 4270, 267, 1101, 569, 267, 3314, 602, 3025, 2306, 9073, 267, 1519, 6000, 269, 16871, 938, 20541, 687, 543, 9363, 3020, 547, 6000, 786, 948, 721, 1332, 6793, 543, 5923, 518, 269, 1879, 2576, 10404, 3278, 596, 1510, 6616, 519, 2898, 1650, 267, 2119, 707, 1655, 547, 3251, 9350, 543, 2015, 2436, 972, 779, 1022, 5168, 547, 741, 9880, 269, 1403, 972, 3884, 1406, 267, 1287, 3274, 1577, 979, 540, 1346, 2942, 4555, 269, 5213, 1406, 2285, 1866, 519, 1379, 547, 1852, 707, 4664, 780, 7692, 281, 20944, 621, 269, 1656, 1018, 827, 1210, 20822, 6589, 8885, 286, 9701, 594, 2057, 3257, 602, 1932, 2496, 8334, 281, 3502, 8209, 269, 1703, 1223, 581, 4570, 4128, 585, 16462, 547, 2611, 20822, 267, 899, 4687, 6213, 1344, 1247, 1869, 7863, 3054, 269, 1717, 267, 2141, 1832, 538, 2247, 602, 7446, 26687, 640, 949, 1860, 875, 824, 1004, 13498, 707, 5048, 269, 9861, 1930, 543, 8076, 2356, 5012, 547, 8902, 5717, 543, 4296, 609, 1866, 780, 7692, 281, 3767, 594, 1174, 269, 1635, 8508, 938, 20541, 687, 543, 8026, 13597, 267, 649, 666, 6536, 2318, 4205, 1312, 2228, 543, 22356, 269, 8729, 585, 7713, 3388, 267, 7705, 2439, 8334, 281, 2986, 1576, 267, 6126, 547, 948, 256, 5457, 267, 11587, 2509, 13951, 543, 1866, 4422, 513, 1279, 1259, 538, 2679, 2178, 17052, 543, 1582, 21873, 269, 5620, 513, 1390, 1554, 267, 7585, 2439, 7692, 281, 1411, 1932, 267, 7705, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 20822, 2912, 3218, 543, 519, 27559, 540, 519, 4950, 454, 1103, 513, 1158, 2220, 9879, 609, 20822, 9739, 267, 16213, 10007, 689, 519, 3106, 540, 519, 5769, 781, 4837, 8075, 814, 1831, 606, 796, 3553, 339, 1782, 2250, 830, 269, 898, 568, 2653, 547, 1780, 27790, 950, 835, 568, 6456, 3297, 513, 1654, 559, 540, 26687, 640, 269, 2290, 991, 711, 4250, 519, 29854, 540, 741, 1913, 950, 789, 1129, 741, 6898, 267, 711, 609, 741, 1378, 2012, 267, 855, 609, 606, 2150, 15869, 762, 15554, 7716, 269, 23738, 24312, 6340, 267, 519, 1152, 2601, 512, 2651, 338, 1745, 2377, 1245, 2989, 547, 1780, 27790, 593, 1004, 789, 917, 4986, 827, 568, 1813, 547, 519, 8825, 13104, 540, 26687, 640, 269, 634, 957, 540, 15738, 11263, 3587, 811, 5493, 23534, 950, 519, 1688, 602, 2798, 568, 15865, 563, 763, 19060, 547, 27790, 543, 519, 771, 323, 664, 585, 5013, 454, 1103, 519, 3731, 5198, 540, 2486, 543, 1514, 2923, 267, 519, 19060, 547, 27790, 267, 5103, 1350, 2130, 9475, 538, 1620, 267, 814, 1831, 513, 20468, 7678, 269, 634, 5013, 540, 513, 3510, 616, 1419, 16053, 267, 14894, 539, 593, 519, 26749, 540, 2123, 9186, 267, 1175, 547, 3049, 519, 7301, 2631, 540, 27166, 269, 2755, 519, 4998, 521, 576, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21615, 571, 1424, 14087, 325, 1254, 543, 24956, 30008, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 9608, 12618, 1315, 19732, 1465, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 3848, 476, 1015, 281, 8212, 15369, 3244, 2827, 538, 6732, 16629, 3626, 10632, 692, 5970, 596, 2479, 5129, 5691, 3756, 1141, 596, 1223, 3802, 1472, 513, 9589, 1158, 610, 9496, 30659, 286, 2107, 5310, 596, 4312, 6836, 707, 1688, 693, 606, 2228, 7688, 3014, 827, 2831, 610, 1686, 269, 1809, 1018, 4523, 950, 649, 9192, 1483, 8996, 6323, 609, 2780, 5752, 547, 1711, 3076, 601, 833, 2833, 899, 1346, 1336, 538, 2228, 8732, 16394, 286, 2913, 781, 4685, 883, 713, 4241, 1523, 1572, 834, 874, 12695, 2861, 11191, 15323, 5331, 1373, 2111, 547, 3643, 513, 3059, 20098, 30988, 1318, 689, 707, 2713, 4055, 256, 2334, 781, 835, 540, 519, 1082, 5863, 7399, 6035, 676 ]

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

[ 12255, 29219, 4970, 492, 22287, 499, 12916, 491, 8147, 28032, 489, 417, 28187, 16088, 1015, 290, 16043, 500, 1015, 293, 5073, 1038, 10917, 815, 3403, 3488, 27962, 420, 481, 484, 27447, 24662, 12916, 510, 7511, 29219, 16088, 5073, 1038, 952, 10917, 269, 1742, 5976, 2891, 290, 8442, 610, 10917, 269, 1742, 5976, 2891, 322, 257, 2187, 2018, 10917, 293, 815, 10581, 6025, 11391, 11468, 268, 272, 8079, 265, 272, 269, 279, 266, 3953, 454, 2018, 1820, 6600, 262, 346, 31184, 11468, 268, 272, 316, 348, 418, 495, 482, 418, 364, 493, 18021, 355, 2652, 2715, 31184, 293, 348, 22287, 492, 418, 364, 493, 18021, 355, 5073, 2018, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 2018, 952, 733, 328, 2652, 1412, 344, 12466, 3546, 3136, 454, 2018, 3116, 10778, 3546, 8520, 815, 8771, 454, 3546, 1820, 4590, 3546, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 1038, 8640, 10917, 269, 1742, 5976, 2891, 293, 8442, 610, 10917, 269, 1742, 5976, 2891, 325, 257, 2187, 2018, 10917, 290, 815, 630, 15615, 6025, 11391, 11468, 268, 272, 8079, 268, 3953, 264, 1315, 476, 272, 269, 279, 454, 2018, 1820, 6600, 262, 346, 31184, 11468, 268, 272, 316, 348, 22287, 492, 418, 364, 493, 18021, 355, 2652, 2715, 31184, 290, 348, 418, 495, 482, 418, 364, 493, 18021, 355, 10807, 11434, 454, 2018, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 2018, 952, 733, 328, 2652, 1412, 344, 12466, 3546, 3136, 454, 2018, 3116, 10778, 3546, 8520, 815, 8771, 454, 3546, 1820, 4590, 3546, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 1038, 3116, 912, 2018, 1820, 2891, 27447, 417, 499, 354, 27064, 358, 418, 482, 493, 417, 495, 351, 8147, 16043, 495, 21251, 18777, 353, 13644, 484, 257, 9239, 825, 8640, 3903, 2652, 273, 281, 672, 1948, 514, 577, 13127, 23687, 9492, 454, 1038, 1820, 4590, 1038, 1820, 3488, 418, 479, 511, 417, 500, 506, 12916, 510, 20881, 487, 418, 489, 358, 29072, 315, 257, 420, 489, 365, 10254, 370, 421, 499, 379, 18021, 355, 4970, 492, 18713, 377, 30522, 483, 22287, 499, 12916, 491, 421, 499, 379, 18021, 355, 420, 377, 361, 29004, 351, 315, 257, 8147, 13644, 371, 27447, 24662, 28884, 420, 377, 361, 29004, 351, 7511, 12255, 29219, 4970, 492, 22287, 499, 12916, 491, 8147, 25203, 362, 31176, 491, 418, 498, 363, 418, 490, 479, 22287, 499, 12916, 491, 16088, 514, 10264, 4699, 544, 5073, 1038, 10917, 815, 3403, 3488, 27962, 420, 481, 484, 27447, 24662, 12916, 510, 7511, 29219, 16088, 5073, 1038, 952, 10917, 269, 1742, 5976, 2891, 514, 257, 2187, 2018, 10759, 815, 10581, 6025, 11391, 11468, 268, 273, 7481, 2018, 4699, 815, 10759, 265, 273, 269, 7918, 454, 2018, 544, 815, 4699, 1315, 1911, 454, 2018, 1820, 6600, 257, 346, 1037, 263, 514, 577, 267, 274, 14587, 420, 489, 365, 21382, 372, 2652, 2715, 1037, 6262, 332, 267, 274, 14587, 31308, 502, 30830, 367, 2652, 2715, 1037, 9852, 267, 274, 14587, 30830, 367, 5602, 2018, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 2018, 952, 733, 328, 2652, 1412, 344, 12466, 3546, 3136, 454, 2018, 3116, 10778, 3546, 8520, 815, 8771, 454, 3546, 1820, 4590, 3546, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 1038, 952, 10917, 269, 1742, 5976, 3488, 1111, 262, 2187, 2018, 10264, 815, 10581, 6025, 11391, 11468, 268, 273, 7481, 2018, 544, 815, 476, 271, 269, 25134, 265, 1111, 3097, 2018, 4699, 815, 476, 1911, 265, 332, 454, 2018, 1820, 6600, 257, 346, 1037, 263, 1111, 267, 274, 14587, 420, 489, 365, 16533, 374, 2652, 2715, 1037, 6262, 332, 267, 274, 14587, 31308, 502, 30830, 367, 2652, 2715, 1037, 9852, 267, 274, 14587, 30830, 367, 5602, 2018, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 2018, 952, 733, 328, 2652, 1412, 344, 12466, 3546, 3136, 454, 2018, 3116, 10778, 3546, 8520, 815, 8771, 454, 3546, 1820, 4590, 3546, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 1038, 952, 10917, 269, 1742, 5976, 3488, 332, 262, 2187, 2018, 952, 10917, 269, 1742, 5976, 2891, 9492, 257, 2187, 3546, 4699, 815, 10581, 6025, 11391, 11468, 268, 273, 7481, 3546, 544, 815, 4699, 1315, 476, 1911, 454, 3546, 10759, 815, 4699, 270, 273, 269, 7918, 454, 3546, 10264, 815, 10759, 1315, 476, 1321, 454, 3546, 1820, 6600, 257, 346, 1037, 6262, 332, 267, 274, 14587, 31308, 502, 30830, 367, 2652, 2715, 1037, 263, 514, 577, 267, 274, 14587, 420, 489, 365, 21382, 372, 2652, 2715, 1037, 263, 1111, 267, 274, 14587, 420, 489, 365, 16533, 374, 5602, 3546, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 3546, 952, 733, 328, 2652, 1412, 344, 12466, 7386, 3136, 454, 3546, 3116, 10778, 7386, 8520, 815, 8771, 454, 7386, 1820, 4590, 7386, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 2018, 8640, 10917, 269, 1742, 5976, 2891, 332, 257, 2187, 3546, 544, 815, 10581, 6025, 11391, 11468, 268, 272, 7481, 3546, 4699, 815, 476, 1911, 265, 332, 454, 3546, 10759, 815, 4699, 270, 273, 269, 7918, 454, 3546, 10264, 815, 10759, 1315, 476, 1321, 454, 3546, 1820, 6600, 257, 346, 1037, 9852, 267, 274, 14587, 30830, 367, 2652, 2715, 1037, 263, 514, 577, 267, 274, 14587, 420, 489, 365, 21382, 372, 2652, 2715, 1037, 263, 1111, 267, 274, 14587, 420, 489, 365, 16533, 374, 8442, 825, 454, 3546, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 3546, 952, 733, 328, 2652, 1412, 344, 12466, 7386, 3136, 454, 3546, 3116, 10778, 7386, 8520, 815, 8771, 454, 7386, 1820, 4590, 7386, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 15419, 825, 8640, 3903, 2652, 274, 912, 1038, 1820, 4590, 1038, 1820, 3488, 418, 479, 511, 417, 500, 506, 12916, 510, 20881, 487, 418, 489, 358, 29072, 315, 257, 419, 378, 492, 30317, 4970, 492, 32512, 418, 364, 495, 27747, 479, 420, 377, 361, 29004, 351, 315, 257, 20693, 509, 420, 25693, 8147, 13644, 371, 27447, 24662, 12916, 510, 28884, 29004, 351, 28997, 501, 12916, 510, 7511, 421, 496, 365, 8147, 417, 28187, 1015, 4785, 291, 610, 476, 1015, 305, 11586, 5073, 1038, 10917, 815, 3403, 3488, 27962, 420, 481, 484, 27447, 24662, 12916, 510, 7511, 421, 496, 365, 16088, 5073, 1038, 952, 10917, 269, 1742, 5976, 3488, 639, 323, 10807, 610, 10917, 269, 1742, 5976, 2891, 4785, 291, 257, 2187, 2018, 2724, 815, 10581, 6025, 11391, 11468, 268, 274, 8079, 1315, 277, 269, 31229, 280, 454, 2018, 1820, 6600, 262, 346, 31184, 348, 2652, 2715, 1037, 9852, 2292, 267, 274, 14587, 305, 11586, 5073, 2018, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 2018, 952, 733, 328, 2652, 1412, 344, 12466, 3546, 3136, 454, 2018, 3116, 10778, 3546, 8520, 815, 8771, 454, 3546, 1820, 4590, 3546, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 1038, 952, 10917, 269, 1742, 5976, 3488, 337, 3387, 10807, 610, 10917, 269, 1742, 5976, 2891, 305, 11586, 257, 2187, 2018, 2724, 815, 10581, 6025, 11391, 11468, 268, 274, 8079, 2608, 476, 277, 269, 31229, 280, 454, 2018, 1820, 6600, 262, 346, 31184, 348, 2652, 2715, 1037, 9852, 2292, 267, 274, 14587, 4785, 291, 5073, 2018, 733, 328, 815, 3403, 2891, 15159, 12571, 355, 14756, 356, 14756, 511, 16088, 344, 476, 16043, 500, 562, 16088, 5602, 2018, 952, 733, 328, 2652, 1412, 344, 12466, 3546, 3136, 454, 2018, 3116, 10778, 3546, 8520, 815, 8771, 454, 3546, 1820, 4590, 3546, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 8931, 825, 8640, 3903, 2652, 476, 275, 912, 1038, 8520, 815, 8771, 454, 1038, 1820, 4590, 1038, 1820, 2891, 420, 364, 351, 420, 364, 351, 12916, 379, 17958, 8147, 421, 481, 495, 19404, 491, 19867, 379, 13644, 374, 16088, 21251, 10429, 483, 421, 496, 365, 13601, 21550, 371, 28997, 501, 7511, 16583, 484, 5405, 479, 5602, 825, 3116, 912, 1038, 1820, 2891, 419, 486, 372, 419, 486, 372, 21251, 18777, 353, 13644, 484, 15419, 19638, 19638, 7531, 0, 2971, 2162, 7473, 293, 268, 279, 454, 258, 9339, 421, 509, 358, 420, 490, 481, 420, 354, 379, 24731, 417, 497, 479, 454, 258, 1001, 280, 268, 279, 268, 272, 692, 5814, 942, 454, 31467, 815, 6936, 454, 16694, 815, 31460, 6112, 8520, 912, 825, 1820, 4590, 825, 1820, 2891, 21228, 21228, 318, 5602, 825, 1820, 3488, 16043, 495, 15159, 22047, 14035, 485, 417, 379, 502, 25051, 499, 8147, 14035, 485, 417, 379, 502, 10951, 361, 30903, 484, 19764, 374, 8339, 22487, 263, 2412, 2437, 6889, 11723, 825, 952, 7003, 3799, 1774, 264, 2652, 476, 271, 912, 1038, 1820, 2891, 27064, 364, 21928, 12916, 510, 7511, 14035, 485, 417, 379, 502, 25051, 499, 15159, 419, 358, 374, 7511, 8147, 417, 379, 360, 19540, 503, 30536, 417, 499, 354, 417, 499, 488, 5405, 479, 5602, 1038, 1820, 4590, 825, 3116, 10778, 1038, 1820, 6600, 257, 27064, 364, 21928, 10429, 365, 20069, 346, 6352, 3799, 1774, 14587, 23521, 350, 14035, 485, 417, 379, 502, 16088, 5602, 1038, 1820, 4590, 1038, 1496, 2745, 6600, 262, 346, 4486, 348, 18998, 12916, 510, 28884, 21928, 346, 7407, 314, 271, 316, 348, 7511, 28793, 22390, 503, 8147, 21928, 346, 7407, 314, 272, 316, 2410, 7407, 314, 273, 316, 348, 10807, 585, 1883, 267, 1871, 538, 4063, 29096, 3890, 2639, 1038, 1820, 4590, 825, 1820, 2891, 21228, 21228, 318, 5602, 825, 3903, 815, 3403, 2891, 272, 18998, 19540, 503, 30536, 417, 499, 354, 476, 273, 18998, 10254, 510, 30536, 417, 499, 354, 476, 476, 274, 18998, 418, 503, 374, 420, 25693, 13644, 484, 10254, 360, 476, 275, 18998, 20881, 478, 24731, 8147, 27962, 420, 481, 484, 13644, 368, 24731, 12916, 510, 7511, 20881, 487, 418, 489, 358, 15159, 16088, 5602, 825, 952, 3903, 2652, 1412, 272, 262, 10778, 1038, 4266, 815, 3403, 2891, 28793, 25426, 368, 16088, 5602, 1038, 1327, 7159, 517, 815, 3403, 2891, 17295, 364, 30536, 16088, 5602, 1038, 3364, 815, 3403, 3488, 12916, 510, 421, 25693, 418, 481, 367, 23946, 366, 417, 499, 354, 16088, 5073, 1038, 1883, 815, 1193, 12759, 3799, 1774, 11924, 272, 994, 1038, 4063, 314, 4486, 316, 17342, 11845, 267, 32643, 7159, 517, 267, 2251, 2639, 1038, 1948, 1496, 2745, 5416, 14720, 264, 585, 513, 14720, 538, 4063, 29096, 3890, 2639, 1038, 1948, 1820, 12759, 3799, 1774, 4917, 1038, 3136, 692, 825, 952, 3903, 2652, 834, 273, 13426, 1038, 952, 7003, 3799, 1774, 264, 2525, 271, 912, 2018, 1820, 2891, 418, 366, 350, 4970, 506, 420, 354, 379, 417, 496, 489, 10254, 510, 30522, 353, 417, 499, 488, 263, 274, 338, 12571, 492, 13213, 498, 18713, 508, 264 ]

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

[ 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, 4495, 2390, 513, 942, 267, 538, 513, 1507, 4884, 3957, 24442, 6807, 267, 5030, 1079, 1655, 2828, 910, 15207, 519, 15529, 543, 22123, 519, 29160, 269, 1358, 6068, 3695, 519, 1158, 1472, 873, 543, 1565, 1007, 1919, 1169, 1554, 269, 2290, 13566, 12784, 267, 789, 1336, 513, 2594, 593, 519, 2666, 1247, 4730, 2282, 519, 4104, 269, 898, 729, 606, 2025, 24064, 2643, 2582, 540, 513, 5152, 1572, 1412, 12024, 513, 9605, 9538, 1306, 4166, 607, 789, 5116, 519, 13549, 5196, 519, 18343, 1167, 267, 789, 4862, 519, 18405, 267, 968, 12024, 513, 3595, 8781, 538, 1250, 9997, 892, 14578, 538, 519, 669, 11501, 269, 901, 17279, 533, 31985, 741, 7279, 2439, 20755, 3240, 4280, 22123, 267, 968, 3963, 1281, 519, 22256, 1832, 6031, 2048, 12024, 513, 3595, 8781, 538, 1250, 9997, 286, 6496, 333, 1405, 1352, 917, 875, 1082, 2053, 1352, 814, 2907, 1767, 621, 9495, 3911, 4979, 267, 22123, 6045, 267, 968, 20755, 3240, 267, 950, 649, 5873, 1945, 936, 1586, 267, 899, 891, 1913, 538, 519, 5152, 267, 621, 2337, 721, 3314, 873, 1732, 269, 2334, 781, 835, 2601, 1946, 519, 22256, 8952, 18110, 1346, 3515, 256, 10640, 306, 958, 4797, 267, 968, 2467, 781, 811, 1932, 256, 769, 938, 12271, 267, 649, 1745, 1978, 1919, 1107, 2648, 267, 8788, 267, 610, 18354, 267, 799, 666, 3006, 1332, 6793, 267, 1175, 899, 513, 6263, 8141, 4742, 513, 2462, 18723, 269, 1879, 519, 22256, 3081, 2048, 12024, 513, 3595, 8781, 538, 1250, 9997, 16224, 621, 1797, 1200, 4606, 616, 3478, 6793, 267, 3395, 8273, 3330, 1200, 2295, 15323, 2026, 789, 19557, 2417, 267, 789, 8068, 602, 1142, 942, 519, 22256, 7368, 519, 1899, 267, 1200, 5639, 32131, 1256, 811, 13730, 982, 1354, 256, 15207, 31113, 3773, 267, 968, 2005, 4667, 547, 803, 602, 8164, 1352, 521, 902, 1346, 2027, 1913, 267, 782, 519, 7405, 1404, 21514, 1457, 543, 5488, 1932, 256, 594, 1589, 6148, 713, 2306, 3025, 6947, 4952, 519, 3595, 3478, 28555, 543, 17321, 256, 10640, 5475, 6217, 519, 3003, 5152, 267, 1312, 2831, 941, 27086, 676, 922, 1379, 543, 7553, 269, 1809, 1287, 3357, 606, 6397, 31830, 540, 2842, 602, 6926, 342, 2476, 519, 10475, 2594, 267, 695, 30568, 621, 883, 4773, 269, 9282, 25922, 267, 15207, 6743, 909, 543, 4718, 8673, 8375, 1164, 1657, 519, 4054, 7404, 269, 1261, 7691, 602, 2470, 3294, 1223, 1118, 4190, 4992, 543, 2984, 1510, 1022, 5638, 267, 7586, 4328, 1010, 7071, 585, 519, 2067, 1158, 269, 8625, 267, 15207, 543, 22123, 4121, 602, 930, 8090, 4734, 8823, 1454, 4514, 982, 1866, 267, 2436, 6592, 610, 3274, 4810, 538, 519, 14246, 540, 519, 1483, 1158, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 27855, 519, 946, 540, 17279, 538, 519, 669, 11501, 540, 834, 12024, 513, 9605, 257, 543, 922, 1909, 538, 10771, 519, 3929, 8515, 540, 519, 5152, 563, 296, 798, 711, 723, 2123, 4664, 267, 855, 1775, 666, 1683, 513, 2796, 16250, 23018, 2626, 547, 707, 2243, 269, 8528, 514, 519, 669, 11501, 540, 834, 3697, 513, 3595, 2437, 519, 8360, 834, 3697, 513, 3595, 8781, 538, 1250, 9997, 257, 568, 7368, 1896, 2053, 269, 713, 17279, 11363, 519, 3929, 8515, 540, 519, 5152, 676, 2870, 513, 2631, 540, 23473, 543, 6612, 269, 607, 519, 1913, 616, 7368, 267, 519, 8515, 540, 519, 2575, 543, 13047, 6765, 849, 4679, 267, 4946, 547, 519, 3929, 1764, 269, 519, 17279, 540, 519, 8360, 849, 25040, 922, 3844, 5048, 540, 1373, 10057, 676, 606, 7920, 4743, 267, 1818, 621, 513, 12300, 543, 3532, 13622, 585, 519, 26575, 269, 676, 18110, 519, 8360, 267, 519, 5152, 781, 3929, 8515, 568, 15398, 543, 519, 669, 11501, 3587, 606, 20605, 4090, 1369, 519, 5152, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]

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

[ 15919, 267, 1256, 1498, 1004, 6836, 547, 960, 1927, 23182, 267, 7440, 1869, 5949, 269, 1809, 1810, 1406, 5855, 282, 8797, 3401, 22283, 909, 547, 948, 7017, 13882, 25678, 269, 3807, 899, 950, 631, 20207, 610, 667, 23098, 2337, 596, 4194, 2695, 629, 7632, 936, 9162, 267, 1346, 3401, 1500, 3664, 1759, 593, 14619, 543, 2463, 269, 1635, 2324, 856, 3604, 9425, 267, 3025, 5433, 4862, 267, 12595, 267, 543, 6870, 780, 4517, 1631, 621, 779, 22400, 2490, 256, 5994, 1373, 835, 540, 700, 11035, 267, 22513, 267, 610, 808, 11047, 710, 781, 24968, 269, 9523, 707, 4555, 593, 713, 9735, 942, 676, 16460, 891, 2055, 1384, 265, 1403, 9358, 1223, 16436, 4896, 689, 1686, 547, 3643, 519, 4677, 1282, 476, 6942, 278, 268, 6245, 279, 267, 945, 1131, 621, 581, 286, 4208, 1705, 596, 3442, 873, 888, 265, 14674, 21450, 1259, 596, 666, 15562, 22664, 1945, 8799, 2221, 547, 3142, 7772, 547, 1776, 1268, 563, 265, 6056, 540, 513, 29376, 292, 950, 596, 17251, 513, 24895, 25678, 269, 1215, 1705, 621, 1745, 26063, 2496, 23558, 256, 1411, 723, 6192, 519, 1412, 310, 1301, 268, 10000, 262, 1770, 2407, 540, 11505, 267, 9316, 267, 543, 1620, 269, 8921, 942, 267, 6443, 721, 1586, 538, 519, 9059, 4677, 585, 811, 3078, 9035, 998, 1977, 3778, 256, 5457, 267, 2141, 2661, 1272, 609, 18512, 7279, 267, 10027, 880, 707, 5191, 267, 543, 11654, 8788, 3232, 256, 0, 8620, 513, 1187, 543, 2241, 552, 19543, 9074, 593, 1412, 16908, 267, 23068, 267, 543, 519, 623, 2720, 3726, 540, 19732, 1465, 3299, 3358, 585, 476, 276, 547, 476, 1015, 1032, 6040, 1453, 269, 8838, 585, 513, 22488, 543, 19511, 1935, 267, 5078, 585, 1360, 1762, 6267, 563, 2171, 616, 1603, 593, 3184, 1412, 6942, 278, 1700, 6245, 279, 8339, 769, 1880, 267, 3296, 1412, 27077, 493, 20804, 5149, 476, 276, 4828, 11314, 262, 540, 1412, 6942, 278, 1700, 6245, 279, 262, 851, 269, 3503, 513, 1007, 1770, 11331, 1412, 296, 269, 24953, 268, 10000, 262, 780, 1103, 713, 9074, 585, 1762, 1453, 267, 2832, 547, 1384, 268, 2422, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 276, 4458, 6040, 1131, 3362, 1174, 267, 9319, 1022, 1950, 2035, 610, 2930, 2474, 563, 268, 15681, 513, 2110, 267, 2502, 1650, 609, 10477, 20419, 3197, 269, 1280, 3236, 267, 547, 9414, 2804, 4123, 2035, 946, 3197, 899, 2831, 610, 7874, 7068, 9467, 16152, 610, 9162, 269, 6271, 1383, 568, 1840, 543, 11810, 267, 946, 13212, 547, 2491, 281, 1412, 273, 13212, 1341, 476, 274, 13212, 815, 476, 276, 13212, 262, 4586, 268, 5901, 519, 3159, 1769, 267, 28292, 267, 543, 8716, 269, 1684, 711, 946, 2592, 269, 0, 634, 4055, 729, 18388, 532, 609, 24736, 607, 519, 5993, 17912, 16635, 27169, 14736, 539, 1055, 538, 11968, 13353, 269, 1160, 3027, 619, 267, 19971, 267, 543, 2733, 12781, 689, 782, 936, 519, 1158, 1185, 10356, 547, 1865, 519, 5767, 3466, 543, 2591, 538, 519, 2872, 269, 7324, 873, 941, 23436, 267, 606, 4810, 16073, 1634, 585, 1200, 16994, 3750, 585, 13007, 267, 543, 4460, 267, 513, 1762, 543, 16529, 2733, 12460, 3843, 547, 1118, 1010, 1665, 538, 519, 1870, 780, 2026, 789, 2893, 1524, 585, 6995, 267, 23436, 4280, 4460, 875, 646, 14059, 10188, 519, 1950, 5251, 540, 4670, 15976, 269, 1261, 14452, 267, 968, 2414, 581, 9237, 267, 594, 1745, 16397, 676, 519, 22406, 1297, 540, 15976, 856, 972, 269, 1215, 798, 596, 917, 799, 3283, 547, 3442, 9495, 692, 299, 13453, 10709, 539, 1394, 543, 3576, 513, 521, 760, 540, 1200, 4235, 1354, 16460, 269, 968, 10932, 568, 1883, 2223, 1352, 1767, 269, 968, 2791, 1616, 547, 1265, 15976, 602, 5447, 609, 707, 9135, 267, 3898, 267, 543, 6249, 269, 6733, 585, 3283, 602, 723, 513, 3950, 2594, 540, 15386, 8874, 899, 16523, 610, 723, 513, 10639, 585, 5009, 5499, 1568, 14325, 15812, 21330, 24617, 269, 968, 3719, 1018, 952, 649, 2461, 1869, 18516, 1310, 3257, 938, 1382, 286, 1215, 798, 649, 2333, 938, 8458, 540, 3478, 5697, 9495, 692, 299, 13453, 20493, 521, 569, 569, 269, 968, 15187, 11529, 568, 1898, 269, 29934, 607, 1082, 2621, 607, 2009, 1107, 29468, 267, 11925, 267, 15483, 18571, 6105, 269, 1411, 2760, 917, 945, 596, 1522, 2743, 269, 898, 1223, 581, 513, 27732, 5461, 538, 707, 1788, 267, 610, 1776, 3318, 8348, 547, 12840, 593, 2104, 18129, 14325, 9515, 17328, 4310, 585, 8561, 269, 968, 4517, 2141, 3314, 267, 891, 4296, 666, 1291, 547, 811, 982, 1175, 25926, 282, 789, 666, 1930, 9885, 547, 1007, 12352, 543, 7399, 14325, 15812, 795, 582, 1540, 1524, 4967, 9663, 13124, 267, 5693, 27278, 676, 23436, 779, 4030, 269, 3973, 267, 15175, 24039, 267, 646, 15054, 1776, 2243, 269, 968, 4131, 779, 2161, 649, 1205, 883, 513, 13037, 269, 1548, 1287, 286, 3807, 6029, 909, 3884, 1406, 2614, 267, 1318, 9495, 692, 299, 13453, 8815, 900, 874, 5597, 269, 968, 27028, 5193, 569, 269, 15613, 4249, 513, 1713, 1909, 1934, 1932, 269, 6056, 827, 1141, 596, 1616, 707, 4670, 547, 979, 1985, 1759, 593, 922, 2773, 693, 519, 1699, 13037, 269, 3657, 596, 17935, 585, 3892, 9388, 267, 17758, 6284, 267, 610, 1312, 286, 4643, 9935, 543, 1118, 2386, 1169, 1900, 12523, 2509, 8236, 1346, 3853, 14325, 15812, 6743, 14719, 894, 1631, 267, 21716, 23436, 779, 5796, 269, 2991, 513, 4090, 267, 646, 9684, 539, 1200, 25442, 569, 269, 968, 14188, 596, 865, 1454, 267, 23436, 269, 2659, 5133, 814, 1044, 11212, 3407, 14325, 4415, 17105, 8990, 267, 4460, 2451, 519, 6643, 4712, 547, 10994, 519, 4101, 2943, 14785, 3460, 6619, 269, 1306, 646, 15336, 2476, 267, 23436, 7948, 1406, 948, 855, 12837, 267, 6616, 1352, 1185, 5280, 3337, 519, 2619, 540, 2576, 3116, 779, 14557, 26517, 5326, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 798, 12696, 543, 2733, 12781, 6330, 519, 1950, 5251, 540, 4670, 15976, 547, 2697, 519, 1655, 3255, 547, 13686, 741, 960, 547, 513, 9962, 5304, 888, 296, 1810, 1405, 723, 2123, 1995, 610, 8369, 267, 855, 1934, 616, 930, 10372, 1384, 272, 269, 1382, 281, 12696, 543, 2733, 12781, 1058, 1353, 519, 1585, 4670, 15976, 543, 2697, 519, 3283, 602, 616, 1034, 4143, 547, 741, 9135, 267, 3898, 267, 610, 6249, 269, 789, 666, 1413, 585, 15976, 602, 723, 5892, 7604, 1078, 2147, 1568, 267, 610, 1346, 602, 723, 513, 10639, 585, 15386, 5647, 780, 273, 269, 13033, 281, 11504, 4670, 15976, 267, 29468, 267, 543, 11925, 666, 1683, 12696, 543, 2733, 12781, 609, 3255, 547, 2743, 824, 4648, 543, 1451, 827, 1585, 15976, 269, 971, 4205, 666, 1291, 547, 4598, 543, 5352, 1719, 538, 741, 960, 267, 799, 666, 6038, 1291, 547, 5542, 543, 7589, 780, 274, 269, 2054, 1125, 281, 12696, 543, 2733, 12781, 991, 547, 1544, 741, 13037, 7589, 21825, 547, 2327, 741, 960, 10301, 513, 6626, 5304, 14325, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 769, 2221, 781, 3059, 2085, 267, 5904, 543, 824, 4448, 3457, 1404, 513, 2629, 1909, 538, 938, 3232, 2729, 269, 3245, 2792, 547, 9913, 267, 2069, 267, 543, 960, 267, 649, 7048, 8185, 593, 2029, 547, 1685, 1585, 4247, 7561, 269, 1717, 267, 713, 2799, 13829, 849, 27875, 721, 547, 3875, 3354, 6937, 602, 666, 14207, 6213, 1239, 543, 2123, 1344, 269, 2290, 971, 3463, 2501, 538, 519, 1106, 540, 18858, 13568, 9640, 1107, 17351, 3301, 2966, 547, 13587, 633, 3755, 883, 13031, 14804, 1344, 610, 7900, 3527, 602, 1223, 2800, 741, 1949, 269, 901, 3184, 786, 5490, 4514, 883, 519, 1523, 540, 18858, 13568, 9640, 267, 3695, 741, 4214, 267, 10342, 267, 1764, 267, 7020, 267, 543, 6604, 2994, 780, 2162, 1548, 3657, 18858, 13568, 32130, 2496, 301, 3139, 1310, 519, 25337, 11308, 7504, 1031, 676, 5259, 7980, 547, 22467, 3433, 31684, 1282, 3504, 2053, 267, 2780, 18858, 329, 753, 1599, 13974, 676, 29227, 3593, 3972, 543, 24320, 2358, 2933, 607, 16048, 3156, 610, 6119, 269, 4495, 8704, 267, 789, 666, 14892, 5739, 2238, 8151, 689, 27560, 18538, 543, 2883, 1344, 547, 16459, 3606, 18453, 267, 22212, 1062, 5468, 267, 543, 1256, 26587, 6552, 31487, 19727, 24071, 1569, 547, 7783, 6191, 269, 9521, 8290, 543, 17494, 267, 799, 21613, 2933, 8850, 267, 18858, 329, 753, 2154, 1480, 5872, 547, 3262, 267, 1818, 873, 3226, 5906, 2094, 789, 1419, 8945, 3755, 883, 7175, 741, 683, 325, 13895, 31139, 338, 17543, 610, 16662, 1549, 958, 780, 2162, 1215, 1684, 18858, 329, 753, 4518, 2496, 23777, 1227, 267, 18858, 329, 753, 12446, 3842, 4757, 27589, 267, 8216, 20261, 8924, 267, 3758, 4687, 5867, 267, 610, 19847, 7270, 269, 1358, 949, 2408, 607, 10694, 4647, 6402, 267, 1303, 6005, 3091, 267, 610, 9583, 21030, 6681, 6054, 269, 16270, 11056, 267, 519, 18858, 13568, 5932, 513, 1394, 21830, 7127, 1448, 1369, 519, 6408, 781, 3926, 267, 3850, 6880, 322, 3234, 10904, 547, 1852, 621, 20716, 269, 13689, 593, 519, 1808, 1826, 540, 18858, 13568, 267, 621, 1522, 1685, 1022, 4999, 540, 519, 1739, 3252, 1384, 272, 269, 3223, 2643, 690, 3101, 910, 10916, 1169, 1883, 560, 6593, 1500, 593, 519, 13691, 267, 5732, 13830, 21189, 22754, 267, 5491, 3556, 2338, 267, 543, 824, 4357, 3877, 563, 273, 269, 4578, 17403, 910, 17655, 2199, 11479, 585, 3407, 1344, 899, 3454, 7024, 267, 1870, 5638, 267, 610, 7214, 3959, 563, 274, 269, 22647, 18376, 1569, 910, 28498, 21190, 547, 8263, 2347, 4971, 936, 519, 4299, 3684, 267, 1519, 22745, 3292, 267, 10188, 1463, 1559, 267, 543, 22151, 6119, 563, 275, 269, 9324, 658, 540, 6796, 630, 2710, 306, 264, 6285, 910, 11566, 3060, 2200, 998, 7050, 6808, 5108, 267, 17021, 6098, 13763, 610, 5121, 8035, 762, 563, 276, 269, 1975, 2459, 532, 910, 14700, 17066, 262, 28600, 525, 609, 5667, 4301, 1243, 15737, 5627, 838, 21874, 22099, 267, 26122, 14565, 267, 610, 17351, 15745, 338, 780, 2005, 568, 1898, 547, 1174, 602, 18858, 329, 753, 798, 711, 1582, 1790, 1886, 698, 622, 282, 3079, 267, 789, 4096, 593, 1514, 4702, 12485, 547, 5918, 701, 9601, 883, 11766, 532, 873, 32380, 269, 4935, 267, 9363, 5483, 827, 11342, 2228, 1085, 4461, 543, 12561, 929, 644, 550, 19855, 6208, 3587, 14063, 538, 17420, 1996, 1761, 3968, 780, 2162, 7464, 21509, 6201, 543, 7351, 12367, 692, 1103, 2487, 1296, 267, 1896, 1164, 3491, 12803, 18858, 13568, 17061, 723, 20739, 8898, 688, 22106, 2066, 6080, 5001, 269, 2368, 8037, 8320, 1331, 1384, 272, 269, 2506, 582, 564, 281, 21231, 9571, 538, 476, 1001, 275, 267, 2506, 582, 564, 7960, 689, 513, 2241, 12948, 18858, 13568, 883, 513, 10427, 22606, 18453, 5827, 540, 12419, 2789, 31139, 338, 8195, 269, 898, 5097, 9072, 9746, 5054, 267, 10825, 2663, 958, 1210, 21687, 22754, 543, 9070, 908, 3294, 3842, 28417, 11044, 269, 4340, 547, 9193, 267, 2506, 582, 564, 814, 3361, 6634, 540, 9489, 538, 14796, 267, 7133, 5215, 540, 3906, 11451, 563, 273, 269, 570, 4459, 15318, 281, 3689, 4767, 538, 476, 1001, 277, 267, 570, 4459, 15318, 7153, 607, 513, 14984, 24288, 547, 29325, 516, 5633, 267, 1776, 7986, 12948, 18858, 13568, 269, 4706, 3119, 3804, 3322, 27560, 6213, 2883, 1344, 676, 7630, 532, 17351, 3009, 883, 1357, 3817, 15600, 998, 4950, 26292, 269, 3683, 942, 267, 570, 4459, 15318, 814, 9450, 922, 7207, 267, 6220, 26030, 2264, 13838, 267, 19609, 16276, 2645, 267, 543, 1256, 15170, 19379, 563, 274, 269, 3619, 17844, 4959, 293, 289, 281, 15765, 2094, 476, 1220, 278, 267, 3619, 17844, 4959, 293, 289, 3788, 835, 540, 519, 13074, 8573, 7342, 18858, 13568, 3885, 538, 6228, 269, 19612, 585, 922, 6043, 543, 13916, 267, 621, 18271, 4359, 14238, 2553, 547, 1714, 8775, 7020, 1247, 7796, 325, 1359, 4871, 2272, 3877, 543, 13948, 30753, 1344, 630, 303, 2862, 1040, 4521, 11268 ]

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

[ 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 6349, 7325, 476, 1001, 279, 267, 476, 2537, 281, 6187, 454, 15916, 689, 519, 17918, 11833, 645, 2794, 289, 582, 2439, 12552, 547, 1776, 17918, 11833, 4759, 267, 594, 723, 1175, 4362, 713, 3407, 1888, 267, 2943, 621, 1185, 1100, 4901, 585, 936, 513, 1032, 269, 594, 993, 1631, 536, 18804, 621, 909, 910, 3257, 1250, 2816, 269, 594, 1589, 596, 949, 1265, 621, 3407, 630, 525, 335, 1346, 30491, 609, 918, 16997, 6393, 23763, 547, 1294, 782, 824, 3584, 594, 2007, 856, 286, 7427, 803, 630, 28781, 1246, 7735, 593, 9043, 1040, 1411, 786, 4309, 513, 5758, 540, 782, 3584, 594, 29424, 538, 707, 9043, 1858, 607, 1134, 607, 3842, 4757, 563, 6303, 29390, 3725, 281, 1772, 586, 2999, 476, 273, 343, 286, 1299, 333, 2125, 1496, 258, 21529, 316, 476, 6349, 7325, 476, 1001, 279, 267, 476, 2537, 281, 6187, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676 ]

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

[ 3044, 11539, 540, 476, 279, 269, 1548, 6871, 540, 1053, 6060, 1657, 476, 3445, 593, 519, 1449, 286, 1548, 2600, 6060, 2630, 476, 4792, 286, 476, 276, 269, 6333, 519, 1739, 8424, 540, 476, 1911, 543, 476, 1220, 11281, 21686, 2053, 269, 476, 1911, 11281, 942, 476, 1220, 11281, 942, 476, 1015, 269, 4817, 476, 2420, 269, 4905, 476, 1556, 269, 5881, 476, 2420, 269, 4029, 476, 1556, 269, 2420, 476, 2420, 269, 10170, 1548, 568, 519, 5276, 9756, 1063, 519, 2053, 286, 476, 277, 269, 1548, 568, 519, 3830, 540, 519, 2547, 10945, 9695, 1899, 689, 519, 1239, 538, 1948, 276, 286, 476, 278, 269, 27539, 602, 519, 2597, 540, 2937, 9038, 538, 11882, 568, 7363, 7856, 609, 513, 1611, 540, 476, 3707, 7273, 543, 513, 3044, 11539, 540, 476, 2767, 269, 276, 7273, 269, 1548, 6871, 540, 2367, 538, 11882, 9260, 811, 982, 476, 7742, 6550, 286, 2483, 8698, 9509, 11657, 454, 1607, 4063, 729, 23345, 593, 476, 4962, 270, 4905, 270, 1001, 272, 585, 519, 1576, 6673, 14160, 19798, 2464, 476, 6200, 6026, 676, 7905, 6004, 4732, 19431, 1282, 519, 11354, 1412, 1556, 2165, 693, 9705, 11628, 4659, 540, 3163, 543, 5303, 563, 268, 11354, 1412, 1556 ]

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

[ 6850, 7219, 2045, 8928, 267, 789, 4749, 4309, 13385, 3007, 1369, 4540, 7811, 10850, 269, 7351, 13753, 11168, 519, 991, 547, 2203, 2627, 11315, 1145, 267, 30846, 267, 543, 2746, 2032, 18113, 267, 7551, 7175, 1732, 11236, 540, 10465, 4494, 5250, 543, 3774, 31868, 720, 780, 2026, 3356, 5170, 3284, 864, 267, 5571, 7521, 27788, 6099, 2994, 585, 5466, 891, 10296, 2152, 1510, 27531, 10763, 8778, 1464, 610, 10230, 4398, 269, 11086, 267, 2104, 7835, 1590, 3666, 12721, 7569, 585, 2799, 8856, 1996, 31544, 4145, 3823, 6388, 23250, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 31880, 573, 10046, 538, 5843, 22563, 1182, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 273, 269, 4284, 4815, 2275, 8707, 8652, 323, 3428, 923, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 273, 269, 272, 269, 11511, 9429, 2095, 2580, 834, 273, 269, 273, 269, 11272, 5595, 6106, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 273, 269, 274, 269, 715, 1716, 560, 268, 23945, 1188, 3830, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 763, 1543, 1058, 2832, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 538, 519, 1888, 269, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 269, 0, 3848, 476, 1015, 281, 1234, 20761, 1310, 18366, 910, 589, 6733, 693, 2782, 781, 2991, 4118, 692, 5970, 596, 2479, 16545, 1018, 1272, 1131, 581, 899, 952, 707, 4884, 729, 10969, 730, 676, 2112, 286, 898, 1522, 581, 2182, 547, 1589, 827, 267, 855, 2429, 1686, 267, 1082, 2950, 723, 5185, 713, 1360, 4161, 269, 1879, 7526, 1439, 267, 1004, 1419, 3068, 519, 18447, 4305, 540, 31811, 741, 5321, 267, 10034, 267, 543, 2729, 269, 901, 3184, 786, 2263, 875, 1004, 960, 1927, 547, 11177, 741, 1158, 1310, 513, 942, 540, 9552, 780, 4131, 781, 2253, 609, 513, 2241, 2243, 281, 1548, 4523, 950, 513, 2679, 4991, 2025, 610, 8697, 286, 2334, 781, 1318, 910, 621, 2115, 547, 581, 30465, 610, 8719, 256, 3767, 4952, 602, 3079, 540, 1175, 835, 2679, 267, 3003, 4872, 991, 21338, 1317, 789, 941, 10032, 1282, 513, 2112, 269, 16319, 11566, 267, 3085, 1405, 621, 286, 1809, 972, 616, 12703, 2367, 543, 2021, 945, 1491, 593, 891, 11999, 4247, 1169, 1554, 269, 1358, 948, 7816, 5656, 267, 9897, 267, 13123, 267, 3506, 267, 10506, 267, 543, 811, 865, 602, 3885, 666, 2132, 1753, 9108, 780, 3080, 1383, 2501, 689, 2342, 1739, 2622, 2782, 4083, 269, 3509, 3864, 2477, 1185, 1044, 16094, 4299, 676, 1296, 540, 8165, 269, 20079, 2482, 538, 21219, 267, 5989, 729, 8697, 267, 543, 2596, 2533, 971, 607, 1216, 543, 5201, 941, 9039, 343, 11962, 269, 4658, 3357, 1927, 689, 782, 936, 519, 1158, 547, 4217, 538, 519, 7372, 16646, 3646, 269, 3414, 8990, 543, 16542, 267, 789, 7307, 547, 3142, 1272, 1394, 547, 1346, 695, 13593, 3338, 269, 1635, 4974, 741, 2409, 543, 2553, 267, 2413, 7239, 723, 1831, 1732, 5423, 547, 6023, 2147, 3871, 2221, 780, 3719, 31811, 3884, 1405, 1152, 827, 14335, 1007, 5656, 282, 621, 849, 3322, 7067, 3929, 16398, 269, 12668, 4734, 2620, 26711, 593, 1346, 945, 1995, 873, 20250, 267, 1519, 1453, 269, 1677, 5351, 538, 6051, 267, 2027, 3292, 1445, 593, 4543, 3214, 11883, 609, 8194, 998, 1148, 3797, 267, 2575, 4245, 267, 5026, 2238, 267, 543, 824, 16351, 18697, 269, 1452, 7341, 1683, 4313, 543, 1489, 1247, 5009, 6043, 1851, 1762, 5171, 780, 12234, 267, 2069, 4249, 513, 2629, 1909, 538, 2022, 18101, 12787, 5468, 269, 12140, 4196, 607, 2146, 7740, 1141, 1453, 1451, 3407, 1983, 543, 2418, 2556, 585, 2123, 2208, 543, 1646, 269, 11334, 957, 607, 23003, 267, 5807, 1620, 267, 6568, 267, 543, 1514, 22122, 1851, 1053, 689, 3309, 10080, 269, 4065, 3587, 606, 1898, 1907, 585, 8840, 9979, 540, 5208, 543, 2870, 12560, 20304, 780, 3086, 1577, 781, 2015, 930, 1483, 3734, 1806, 6251, 547, 1753, 269, 5994, 4466, 856, 602, 707, 5326, 2777, 786, 581, 3710, 1318, 2282, 707, 1699, 1753, 256, 1215, 9599, 1131, 596, 1745, 286, 1280, 1346, 2713, 2059, 20380, 11709, 21890, 2131, 20000, 538, 1715, 590, 3240, 337, 3534, 16047, 267, 8419, 267, 713, 9183, 2968, 513, 4641, 269, 1717, 267, 1354, 1022, 4070, 1223, 1376, 267, 26767, 2877, 547, 2327, 3388, 5360, 1221, 609, 2199, 6042, 543, 2825, 4441, 269, 6684, 267, 950, 4058, 547, 18949, 2127, 5734, 676, 4655, 267, 24990, 1590, 1246, 1808, 4808, 547, 10018, 3106, 267, 6940, 267, 543, 13784, 780, 1103, 3932, 267, 10617, 949, 2014, 10373, 3441, 267, 855, 789, 798, 711, 5365, 519, 1439, 269, 5502, 267, 1004, 26595, 547, 25580, 267, 12115, 267, 543, 1332, 6793, 982, 1354, 269, 3245, 3140, 2621, 547, 4207, 2591, 267, 649, 666, 1294, 9118, 8320, 1141, 2043, 2097, 1927, 547, 1711, 2318, 1689, 8015, 14488, 269, 1306, 2104, 3401, 267, 596, 1932, 3180, 519, 1379, 547, 3565, 547, 513, 1732, 14182, 676, 1565, 827, 2112, 781, 21987, 543, 10825, 4656, 540, 922, 5222, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 309, 523, 564, 1014, 22575, 281, 28527, 547, 519, 7736, 5213, 590, 1180, 698, 12789, 563, 17092, 2894, 2975, 21398, 2969, 570, 21788, 1923, 645, 2752, 21612, 9215, 5990, 5254, 12678, 1923, 5990, 18161, 4932, 15760, 645, 6579, 14877, 2910, 17247, 27486, 454, 305, 22664, 21832, 12164, 22552, 10813, 3582, 744, 13048, 18306, 7419, 14510, 454, 302, 4753, 3198, 15709, 2177, 307, 10396, 11553, 2464, 2316, 294, 22473, 4785, 966, 3198, 918, 4041, 4488, 298, 19010, 25893, 267, 21832, 15382, 312, 11748, 18688, 21815, 454, 293, 8085, 14877, 25783, 300, 3951, 307, 3633, 12813, 23177, 30426, 312, 9215, 645, 308, 6579, 291, 715, 8582, 2336, 289, 12788, 308, 2316, 293, 8085, 26827, 30204, 23370, 22218, 454, 20578, 1125, 2659, 5685, 8460, 476, 276, 16170, 7741, 594, 476, 276, 9509, 5174, 23411, 594, 476, 273, 21009, 5174, 23411, 476, 276, 267, 6977, 590, 304, 674, 307, 270, 8028, 681, 5622, 1111, 641, 1546, 1188, 454, 305, 754, 1359, 26115, 15100, 24759, 5071, 6828, 476, 1708, 271, 454, 278, 4029, 15829, 17395, 595, 26059, 2207, 12114, 19010, 25893, 267, 10790, 3951, 299, 13263, 476, 276, 5127, 7741, 270, 476, 274, 269, 272, 8602, 7741, 267, 476, 275, 267, 271, 3374, 13483, 269, 1111, 269, 700, 8780, 3633, 15760, 281, 634, 17054, 2006, 12243, 454, 25838, 274, 966, 8656, 570, 4785, 290, 3198, 312, 267, 654, 2562, 9898, 24315, 298, 476, 276, 5127, 7741, 270, 476, 274, 269, 273, 8602, 7741, 267, 476, 274, 267, 278, 1789, 13483, 269, 1111, 269, 700, 8780, 3633, 15760, 281, 6307, 1805, 22115, 4303, 454, 310, 5793, 5244, 5889, 261, 258, 343, 736, 3722, 282, 261, 258, 343, 18891, 273, 282, 338, 7464, 24529, 20226, 11123, 744, 23615, 476, 4375, 962, 292, 12678, 454, 13078, 654, 269, 12876, 3316, 802, 589, 557, 269, 476, 14338, 590, 269, 5244, 589, 557, 269, 15604, 5244, 267, 18919, 476, 27628, 8660, 454, 23283, 2764, 22743, 310, 16775, 15829, 17395, 29135, 292, 267, 590, 3036, 305, 7728, 302, 476, 275, 5127, 7741, 270, 476, 275, 8602, 7741, 267, 476, 275, 267, 277, 3066, 13483, 269, 1111, 269, 700, 8780, 3633, 15760, 281, 667, 11921, 23620, 543, 23765, 5689, 2292, 454, 14991, 272, 670, 2752, 305, 3041, 595, 7644, 290, 4041, 267, 654, 2562, 9898, 24315, 298, 476, 274, 5127, 7741, 270, 476, 273, 269, 272, 8602, 7741, 267, 476, 274, 267, 279, 1626, 13483, 269, 1111, 269, 700, 8780, 3633, 15760, 281, 3627, 22413, 1228, 454, 10441, 272, 966, 8656, 631, 2207, 3198, 302, 2910, 7838, 307, 267, 654, 2562, 9898, 24315, 298, 476, 275, 5127, 7741, 270, 476, 275, 269, 273, 8602, 337, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23219, 781, 2991, 4118, 257, 607, 851, 540, 834, 16300, 16337, 1315, 2782, 1299, 13639, 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, 589, 1906, 1296, 1394, 267, 594, 729, 851, 540, 513, 1507, 2146, 14364, 1895, 538, 1250, 554, 32528, 269, 1284, 941, 4058, 938, 1985, 2504, 267, 543, 835, 1554, 267, 938, 8689, 5189, 721, 547, 606, 21372, 1404, 1352, 1185, 5063, 4362, 269, 4706, 2140, 267, 834, 7922, 16556, 2349, 541, 2284, 2437, 533, 31985, 3025, 781, 7279, 267, 543, 649, 7948, 1405, 7227, 547, 1265, 856, 1018, 621, 729, 782, 827, 780, 7628, 938, 1101, 1224, 28443, 267, 649, 7691, 602, 519, 7097, 8659, 3875, 8100, 547, 1025, 8463, 32737, 538, 30762, 11652, 1025, 541, 2284, 9789, 9721, 2165, 585, 1166, 19495, 610, 2911, 5497, 547, 13587, 633, 269, 901, 9642, 4999, 17275, 1082, 6436, 827, 519, 2495, 3297, 519, 2140, 543, 922, 4276, 547, 519, 1404, 781, 2949, 4798, 543, 6698, 269, 2368, 2219, 621, 1522, 581, 513, 14165, 673, 6041, 540, 519, 16160, 1379, 540, 13587, 527, 995, 1913, 267, 1247, 1866, 5156, 621, 3090, 1242, 519, 19979, 2470, 540, 1480, 3347, 780, 2026, 519, 1152, 4759, 945, 5949, 547, 1353, 3332, 693, 6280, 267, 594, 5433, 25997, 547, 669, 830, 538, 543, 2671, 930, 4030, 593, 519, 2339, 269, 1924, 267, 594, 798, 557, 2620, 883, 15388, 519, 8129, 540, 1312, 2474, 543, 741, 2009, 4296, 1369, 519, 2796, 540, 519, 1404, 269, 2991, 3108, 6170, 7421, 1169, 1899, 543, 3444, 18022, 17182, 3140, 5013, 267, 594, 23217, 4843, 1250, 4681, 1282, 31667, 531, 780, 4913, 267, 3079, 540, 1373, 24330, 267, 1250, 8284, 11051, 16802, 883, 17409, 950, 789, 4862, 1250, 3932, 281, 602, 519, 31075, 1590, 723, 1044, 1818, 513, 521, 569, 4704, 547, 519, 25337, 11135, 540, 645, 958, 333, 1695, 514, 577, 689, 519, 9721, 31052, 542, 540, 476, 9692, 279, 269, 769, 602, 6370, 267, 3703, 4229, 1031, 5230, 25044, 630, 528, 1412, 4565, 6814, 10807, 1996, 30280, 15720, 3330, 513, 1253, 20455, 1634, 585, 6721, 1164, 7779, 15837, 22090, 4486, 630, 32643, 958, 5219, 547, 607, 1412, 4565, 541, 2284, 262, 1040, 2755, 13840, 4241, 267, 1250, 2079, 5828, 856, 547, 581, 7357, 13061, 547, 519, 4890, 1543, 540, 519, 2413, 1404, 2439, 8601, 1250, 3355, 19849, 14536, 267, 649, 782, 8694, 909, 2348, 513, 1434, 14902, 936, 621, 269, 898, 18056, 721, 602, 3006, 267, 1256, 1134, 10784, 1549, 539, 3646, 1810, 1405, 6556, 7525, 2164, 1107, 855, 1346, 14286, 1419, 1291, 547, 3407, 4245, 4121, 543, 6793, 7554, 4646, 1851, 2828, 543, 9164, 269, 1656, 945, 6487, 286, 9320, 14693, 267, 1250, 1055, 18566, 7664, 786, 8300, 1776, 14364, 1895, 21365, 519, 1482, 12357, 1404, 256, 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, 18658, 568, 519, 4644, 540, 519, 946, 540, 519, 2262, 834, 4565, 16556, 257, 538, 519, 1404, 781, 2140, 267, 543, 875, 1281, 621, 9305, 547, 519, 6626, 4798, 543, 6698, 538, 519, 1650, 888, 296, 798, 711, 723, 1569, 547, 519, 2796, 610, 519, 2140, 540, 519, 1404, 602, 596, 616, 13288, 547, 269, 5225, 1683, 803, 609, 811, 1344, 827, 519, 1404, 781, 2140, 543, 519, 6626, 4798, 865, 602, 1775, 666, 2119, 547, 948, 596, 609, 707, 2243, 14325, 763, 1650, 1058, 1331, 281, 3097 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 590, 778, 514, 13225, 976, 548, 267, 13106, 31517, 31048, 517, 454, 293, 677, 529, 11233, 267, 25109, 1495, 0, 2414, 2057, 1062, 6959, 267, 952, 24904, 568, 707, 9053, 11422, 267, 5225, 9337, 547, 519, 5767, 4528, 540, 24904, 630, 10037, 610, 2362, 264, 610, 946, 606, 4244, 11422, 563, 12812, 1934, 547, 21189, 952, 596, 2811, 606, 19364, 292, 16588, 454, 13434, 1478, 2659, 10055, 6176, 454, 29949, 3951, 307, 2894, 15760, 11581, 310, 19181, 14330, 6369, 308, 21203, 299, 2562, 454, 24746, 13696, 3951, 307, 3633, 15760, 5990, 19364, 292, 670, 26041, 22444, 3918, 307, 14473, 454, 11321, 4897, 1014, 14731, 717, 2246, 516, 14513, 267, 12789, 1421, 15754, 2299, 1634, 607, 645, 574, 547, 3025, 267, 5747, 593, 5988, 476, 1724, 267, 476, 1960, 275, 267, 693, 519, 2085, 540, 24239, 21144, 269, 1261, 729, 606, 8626, 27274, 6427, 633, 3114, 11653, 267, 4429, 11321, 4897, 1014, 14731, 717, 2246, 516, 14513, 267, 12789, 1421, 15754, 2299, 1634, 607, 645, 574, 547, 3025, 267, 5747, 593, 5988, 476, 1724, 267, 476, 1960, 275, 267, 693, 519, 2085, 540, 24239, 21144, 269, 1261, 729, 606, 8626, 27274, 6427, 633, 3114, 11653, 267, 945, 814, 2451, 1010, 1665, 593, 519, 3114, 2872, 676, 1646, 540, 1007, 4066, 543, 676, 519, 4763, 540, 20614, 2472, 2919, 896, 1010, 5718, 563, 3891, 729, 4535, 538, 27850, 6807, 267, 17906, 267, 593, 5130, 476, 1704, 267, 476, 4350, 271, 267, 543, 13984, 17039, 3557, 2160, 630, 11862, 308, 264, 585, 1010, 3114, 4702, 2866, 269, 1261, 21783, 3172, 320, 15921, 3288, 8775, 538, 476, 4198, 271, 543, 6192, 1010, 631, 2529, 269, 538, 476, 4198, 272, 267, 1310, 799, 646, 4682, 547, 960, 585, 6599, 2643, 15278, 607, 513, 1184, 11653, 269, 1261, 18423, 693, 6599, 2643, 2394, 476, 4198, 276, 267, 950, 646, 8120, 547, 700, 24746, 547, 11654, 1010, 1912, 6185, 1421, 799, 646, 6192, 538, 476, 4198, 279, 269, 4438, 713, 942, 646, 6039, 607, 606, 14357, 543, 13930, 7548, 3450, 513, 2647, 2039, 540, 6030, 538, 3114, 1184, 4702, 269, 634, 3982, 4369, 602, 729, 2141, 547, 21656, 1010, 960, 729, 3254, 693, 713, 3942, 676, 513, 25761, 1957, 609, 3220, 269, 20908, 572, 3213, 919, 593, 2534, 14170, 693, 12808, 8920, 1081, 269, 3571, 3872, 4876, 693, 700, 24746, 729, 6825, 676, 1082, 21441, 267, 543, 1010, 5718, 1761, 676, 1010, 26556, 540, 519, 7584, 540, 20017, 564, 2101, 538, 681, 5588, 290, 607, 1134, 607, 5604, 23649, 538, 519, 1585, 2875, 7239, 563, 4002, 12032, 540, 1010, 1912, 6185, 1421, 646, 8120, 547, 6599, 2643, 15278, 607, 2212, 540, 519, 4702, 543, 6310, 9443, 3296, 267, 689, 799, 5614, 4580, 646, 729, 547, 4434, 6385, 998, 519, 31707, 16034, 540, 519, 18294, 609, 799, 646, 729, 547, 6108, 1010, 3003, 3318, 4876, 563, 7804, 269, 717, 2246, 516, 14513, 729, 519, 1883, 4137, 267, 4749, 519, 6205, 267, 543, 2141, 519, 21927, 538, 519, 1646, 543, 5010, 1436, 540, 811, 982, 8938, 1007, 3157, 543, 2472, 593, 799, 646, 4371, 5216, 24977, 269, 2986, 891, 267, 519, 1101, 729, 519, 3404, 344, 18608, 1588, 540, 2802, 22005, 547, 3132, 2802, 22005, 27524, 3271, 728, 689, 2011, 267, 7250, 17296, 267, 543, 2802, 22005, 269, 6599, 2643, 729, 2907, 6721, 24064, 2643, 17296, 676, 7510, 26299, 3974, 540, 2802, 22005, 27524, 3271, 728, 269, 634, 1871, 540, 519, 3404, 344, 18608, 1588, 1184, 729, 547, 1118, 946, 540, 7250, 17296, 676, 1790, 6055, 689, 519, 25305, 5106, 547, 3132, 3606, 2802, 22005, 27524, 3271, 728, 269, 901, 15868, 513, 834, 29446, 257, 24064, 2643, 17296, 2030, 609, 1100, 2121, 7250, 17296, 2504, 630, 5976, 519, 4028, 2208, 540, 24064, 2643, 17296, 267, 7250, 17296, 2504, 729, 856, 335, 5217, 3747, 543, 4742, 513, 3978, 2804, 3390, 585, 24064, 2643, 17296, 12696, 4700, 901, 1184, 729, 13931, 547, 3752, 341, 599, 543, 594, 5746, 585, 5001, 946, 563, 288, 2101, 1900, 538, 519, 29159, 540, 6599, 2643, 15278, 781, 1587, 3515, 7018, 609, 519, 5010, 1436, 540, 3119, 4568, 2504, 676, 1797, 540, 11956, 12659, 2643, 7998, 269, 3220, 269, 717, 2246, 516, 14513, 3366, 519, 1646, 540, 713, 4101, 3114, 1184, 267, 1519, 513, 2189, 1900, 602, 15868, 2766, 1681, 519, 1587, 2039, 1454, 811, 5702, 547, 519, 7569, 540, 519, 19458, 982, 1705, 519, 6671, 2802, 22005, 5832, 2208, 1184, 269, 634, 11956, 12659, 2643, 5832, 2208, 7998, 729, 2663, 9450, 547, 1331, 519, 2504, 540, 5276, 13672, 522, 548, 325, 1231, 538, 1840, 547, 3119, 4568, 338, 269, 11088, 267, 6599, 2643, 781, 1184, 729, 2111, 547, 1852, 519, 3892, 540, 595, 273, 998, 595, 736, 2472, 547, 513, 1454, 3152, 4110, 982, 15712, 269, 634, 5832, 2208, 7998, 2371, 1631, 3132, 811, 982, 835, 5479, 6550, 829, 1032, 540, 5276, 13672, 522, 548, 325, 1231, 543, 3119, 4568, 338, 563, 7628, 3220, 269, 717, 2246, 516, 14513, 781, 26022, 267, 6599, 2643, 15278, 2968, 513, 2101, 18261, 540, 20614, 3114, 2472, 547, 519, 28052, 550, 267, 6694, 3114, 267, 14453, 267, 12249, 267, 543, 1644, 6080, 269, 15733, 2919, 543, 5010, 1242, 3769, 620, 5652, 671, 574, 14007, 26952, 543, 9770, 620, 636, 3626, 24485, 919, 585, 519, 28052, 550, 2872, 282, 3866, 330, 2643, 534, 559, 1149, 543, 1585, 5214, 16903, 7135, 585, 519, 6694, 3114, 2872, 282, 16481, 1575, 19745, 523, 543, 824, 10827, 919, 585, 519, 14453, 2872, 282, 543, 9647, 334, 1779, 344, 1194, 4307, 11169, 267, 620, 5652, 671, 3554, 1149, 267, 543, 5214, 28538, 1938, 585, 519, 12249, 2872, 269, 1160, 3064, 8767, 6599, 2643, 3157, 941, 4362, 543, 2919, 585, 782, 891, 2472, 269, 769, 513, 1297, 540, 8320, 267, 6599, 2643, 2968, 519, 1152, 18261, 540, 519, 1587, 5001, 563, 1103, 1418, 2210, 28351, 7998, 267, 646, 3366, 519, 1646, 540, 1007, 1884, 1731, 333, 1442, 7135, 971, 607, 6404, 1291, 12659, 2643, 338, 630, 339, 25523, 2802, 2643, 18861, 1291, 1070, 513, 1297, 540, 20614, 11956, 12659, 2643, 338, 267, 543, 2504, 540, 30713, 559, 6625, 585, 519, 19202, 2872, 269, 769, 713, 30713, 559, 6625, 1858, 267, 1586, 1007, 2029, 729, 519, 2101, 19876, 607, 621, 1185, 1044, 585, 24064, 2643, 17296, 543, 5832, 2208, 540, 4568, 338, 543, 522, 548, 325, 1231, 269, 634, 1184, 547, 3132, 3706, 1905, 675, 13339, 3238, 19454, 19349, 676, 1253, 20746, 540, 606, 5214, 12045, 540, 13339, 267, 4553, 676, 7766, 7510, 26299, 3974, 538, 513, 5714, 1242, 5127, 547, 3132, 513, 30704, 1587, 267, 799, 10741, 519, 1259, 585, 3608, 267, 6024, 834, 335, 1638, 532, 257, 540, 2582, 2275, 15009, 531, 13339, 1031, 585, 15373, 832, 563, 1103, 782, 891, 2127, 540, 29159, 540, 6599, 2643, 689, 922, 16126, 593, 25543, 14007, 1291, 267, 3220, 269, 717, 2246, 516, 14513, 729, 519, 1883, 4137, 269, 3571, 10888, 7209, 543, 15131, 1266, 25311, 519, 14017, 540, 1010, 3318, 9164, 543, 1128, 2683, 538, 782, 519, 786, 547, 8011, 538, 1099, 10999, 2352, 7998, 543, 4702, 269, 3502, 1152, 729, 646, 4628, 3238, 538, 1382, 267, 1184, 1646, 267, 543, 1184, 1374, 267, 855, 646, 729, 849, 3742, 538, 519, 2344, 1382, 267, 2344, 1646, 267, 543, 4579, 19908, 11775, 585, 3355, 9042, 540, 1034, 540, 891, 2472, 593, 1279, 3856, 11731, 609, 3593, 3549, 563, 9961, 713, 1974, 540, 513, 1360, 11327, 4876, 267, 646, 4359, 6385, 689, 1010, 3355, 13393, 269, 769, 4557, 1296, 646, 10924, 519, 2990, 540, 13030, 25535, 1211, 267, 1382, 543, 1646, 267, 538, 476, 3422, 280, 543, 1287, 9972, 13030, 25535, 1211, 267, 1382, 543, 1646, 267, 538, 476, 3192, 275, 269, 769, 476, 3192, 273, 646, 8678, 519, 4604, 540, 19971, 543, 950, 2192, 1072, 7142, 1864, 547, 4336, 1394, 1010, 2238, 538, 476, 2735, 272, 267, 646, 729, 1500, 9666, 518, 547, 519, 10324, 12233, 540, 519, 4604, 563, 2026, 729, 3617, 585, 971, 513, 13747, 2594, 540, 9740, 267, 3220, 269, 717, 2246, 516, 14513, 729, 28165, 676, 1082, 3906, 269, 1452, 1331, 11906, 7177, 12139, 609, 922, 623, 19781, 13815, 585, 2123, 9740, 538, 3114, 4702, 950, 602, 8366, 729, 5189, 538, 476, 3422, 279, 269, 769, 476, 3192, 277, 646, 4607, 519, 8176, 661, 269, 3213, 919, 17341, 13815, 267, 799, 568, 2016, 24973, 676, 519, 15506, 517, 22748, 613, 11271, 540, 519, 1977, 4659, 540, 11906, 7177, 543, 519, 1977, 11906, 5980, 269, 1261, 729, 11221, 547, 519, 2817, 9142, 540, 7177, 538, 476, 3192, 278, 543, 669, 8529, 519, 11906, 18025, 564, 15950, 7177, 25398, 9730, 269, 1261, 4607, 519, 11906, 16373, 3194, 5948, 17341, 13815, 538, 476, 3192, 279, 585, 14222, 7418, 547, 3114, 6725, 1382, 267, 543, 1010, 620, 2742, 544, 831, 3773, 547, 1010, 26549, 676, 32366, 532, 1864, 538, 476, 3192, 280, 607, 513, 22497, 4759, 540, 922, 7177, 8065, 540, 5940, 8012, 543, 8366, 532, 1864, 606, 8956, 776, 4387, 622, 540, 2257, 538, 476, 1960, 272, 269, 769, 476, 2735, 272, 646, 729, 11221, 513, 8284, 540, 519, 1977, 4659, 540, 11906, 19296, 269, 769, 476, 2735, 278, 6599, 2643, 15278, 267, 16287, 922, 1298, 27812, 1032, 267, 28165, 3220, 269, 717, 2246, 516, 14513, 676, 1439, 12976, 519, 631, 269, 674, 269, 717, 2246, 516, 14513, 270, 6599, 2643, 15278, 17348, 538, 11906, 7177, 693, 17039, 3557, 2160, 563, 30509, 689, 1010, 3318, 1272, 267, 645, 574, 717, 2246, 516, 14513, 1336, 942, 547, 4217, 538, 1082, 2146, 2238, 267, 1519, 519, 17039, 8551, 543, 3163, 4741, 267, 540, 799, 646, 729, 513, 3972, 2465, 267, 519, 700, 24746, 7690, 267, 543, 519, 4604, 540, 19971, 540, 519, 7991, 19270, 1068, 338, 5948, 269, 1323, 28048, 543, 3648, 1732, 982, 3328, 575, 565, 2536, 267, 646, 554, 730, 4411, 4365, 543, 2141, 6743, 4464, 547, 519, 4947, 540, 5614, 563, 2414, 1346, 945, 1558, 1864, 267, 645, 574, 729, 513, 23406, 1268, 945, 2141, 30870, 596, 609, 513, 1804, 12837, 267, 513, 8984, 602, 28815, 1256, 1282, 1010, 2063, 2395, 269, 1261, 729, 513, 1004, 1268, 543, 7184, 8149, 547, 519, 18813, 640, 540, 1272, 269, 769, 476, 4198, 273, 646, 9310, 631, 793, 517, 7705, 7338, 269, 1261, 729, 513, 13991, 1920, 812, 543, 4651, 547, 2185, 1453, 267, 16205, 267, 24910, 267, 631, 4115, 267, 543, 1656, 337, 19902, 269, 3571, 5758, 540, 1010, 1272, 568, 8659, 538, 1913, 646, 5206, 11992, 281, 834, 12179, 18454, 594, 723, 1185, 616, 1100, 811, 610, 1447, 982, 519, 12432, 1267, 540, 513, 11215, 543, 15962, 7385, 543, 1453, 267, 3318, 27498, 945, 723, 2760, 1577, 803, 1524, 267, 513, 18294, 4171, 7881, 616, 519, 5207, 267, 513, 3909, 6561, 689, 1250, 3237, 543, 2038, 18375, 267, 543, 930, 2696, 3766, 1508, 15421, 585, 7998, 543, 4702, 1701, 0, 1320, 16233, 779, 5753, 11233, 814, 4080, 513, 4473, 538, 519, 1297, 540, 7929, 5348, 1097, 339, 658, 3644, 630, 11965, 309, 264, 2550, 1032, 676, 1032, 269, 634, 6413, 568, 6998, 3237, 540, 1360, 1762, 1453, 547, 581, 18762, 543, 1491, 13390, 1081, 776, 3800, 1996, 7929, 3676, 563, 20075, 523, 11184, 1731, 527, 2817, 4659, 540, 4132, 2657, 267, 865, 10777, 5753, 11233, 267, 814, 4080, 606, 2333, 538, 19954, 309, 2665, 1851, 922, 1360, 1762, 2550, 267, 609, 835, 856, 540, 1614, 2550, 9683, 519, 6413, 2348, 19954, 309, 543, 519, 1297, 540, 1007, 2665, 8375, 1169, 1032, 563, 11965, 309, 568, 513, 7929, 19800, 602, 3123, 2589, 2147, 547, 4411, 543, 2770, 269, 19954, 309, 5563, 666, 979, 2476, 585, 4079, 543, 4587, 1453, 267, 855, 666, 581, 2523, 4049, 543, 5732, 14603, 585, 1453, 896, 513, 1032, 2025, 267, 607, 1134, 607, 519, 11361, 609, 5817, 1072, 2175, 563, 7804, 269, 30634, 1069, 628, 2967, 589, 802, 559, 335, 267, 513, 12963, 5102, 3000, 6048, 693, 5753, 11233, 267, 1767, 1360, 1762, 1453, 666, 1020, 4049, 8374, 689, 519, 22024, 799, 1453, 949, 711, 581, 2111, 547, 5265, 26565, 540, 563, 3891, 1767, 519, 1482, 13390, 1081, 776, 3800, 1996, 5046, 268, 866, 666, 581, 4294, 547, 948, 2061, 19954, 309, 269, 901, 2882, 9633, 2914, 8960, 543, 1688, 9882, 563, 11965, 309, 4255, 666, 581, 5340, 609, 17725, 2220, 11274, 267, 2147, 547, 13044, 563, 763, 29164, 1974, 585, 19954, 309, 568, 1472, 476, 274, 268, 277, 2395, 267, 543, 519, 3644, 666, 581, 3742, 538, 519, 3984 ]

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

[ 4517, 4319, 12722, 729, 519, 18749, 1977, 7022, 945, 12199, 689, 476, 275, 628, 4728, 476, 9264, 280, 547, 476, 275, 628, 4728, 476, 8146, 278, 269, 4438, 1010, 24164, 267, 835, 540, 519, 1034, 1713, 2621, 729, 519, 4871, 2112, 10137, 799, 729, 513, 2797, 6560, 602, 729, 2919, 936, 519, 556, 7302, 6621, 532, 7282, 519, 2136, 2276, 262, 2034, 4871, 269, 634, 2112, 540, 519, 4871, 729, 513, 2123, 543, 15280, 3765, 24483, 1063, 12722, 543, 1010, 30347, 269, 1261, 729, 5462, 547, 15237, 1524, 519, 3084, 4871, 855, 519, 2229, 2724, 12074, 883, 1010, 834, 7065, 8492, 257, 3366, 547, 513, 4005, 267, 799, 12015, 909, 519, 4182, 781, 5491, 3556, 543, 6038, 8507, 538, 519, 476, 8146, 278, 11784, 269, 634, 1957, 267, 4061, 267, 568, 6566, 2213, 593, 513, 4901, 3823, 12448, 12722, 543, 519, 4871, 2112, 563, 763, 476, 8687, 273, 2112, 19443, 538, 14637, 519, 608, 21310, 656, 18541, 2631, 538, 519, 4182, 1317, 519, 2197, 729, 538, 513, 942, 540, 2804, 543, 6015, 269, 8361, 22110, 15748, 606, 5140, 1614, 12268, 5010, 1544, 5219, 547, 607, 519, 3590, 540, 3013, 547, 2743, 519, 2115, 540, 519, 2810, 2197, 269, 634, 13269, 2136, 2276, 3590, 729, 2813, 547, 7198, 1977, 4123, 547, 1831, 3811, 269, 1306, 942, 27636, 267, 2724, 729, 2141, 2139, 585, 1585, 4853, 1235, 547, 4020, 9456, 15327, 267, 6718, 2244, 543, 2253, 741, 7262, 11396, 269, 3958, 267, 519, 3560, 729, 547, 581, 9112, 547, 1450, 1004, 547, 22109, 547, 519, 4639, 11884, 269, 634, 3119, 2832, 540, 2870, 519, 13269, 2883, 5650, 729, 547, 3715, 519, 2034, 1977, 4871, 547, 2087, 741, 2729, 676, 3246, 2653, 5491, 547, 873, 563, 763, 5137, 540, 519, 2034, 3084, 4871, 729, 3811, 267, 543, 476, 736, 260, 540, 922, 8843, 941, 22234, 676, 519, 1977, 2229, 1247, 519, 1964, 941, 11262, 676, 4357, 9520, 269, 634, 2962, 1500, 519, 18294, 547, 3251, 896, 4357, 9562, 269, 1306, 942, 27636, 267, 593, 476, 1015, 628, 4989, 476, 8687, 277, 267, 5518, 23885, 9896, 513, 2034, 4871, 22497, 883, 1876, 585, 476, 736, 1296, 269, 1717, 267, 538, 1447, 982, 1614, 1296, 267, 543, 2804, 31685, 1634, 607, 519, 476, 8687, 280, 4250, 5734, 519, 2197, 269, 634, 476, 8687, 280, 4250, 729, 513, 3296, 540, 513, 2518, 2804, 6433, 267, 855, 1034, 2591, 4810, 538, 3013, 941, 1813, 547, 519, 2034, 1977, 4871, 269, 5047, 267, 519, 4871, 22497, 3964, 676, 6837, 607, 513, 3296, 540, 519, 2883, 4566, 540, 12138, 16803, 729, 23380, 538, 476, 8687, 272, 563, 5475, 2185, 1296, 267, 519, 2136, 2276, 262, 2034, 4871, 729, 11292, 1776, 22497, 676, 519, 1482, 18322, 269, 2060, 519, 22071, 4092, 538, 15740, 267, 519, 3084, 4871, 729, 3964, 547, 1118, 519, 1533, 781, 4346, 7123, 269, 3958, 267, 676, 31392, 824, 14078, 547, 2628, 741, 818, 516, 1513, 538, 4154, 16425, 267, 519, 2034, 4871, 5497, 547, 26193, 519, 14078, 689, 29307, 3875, 1957, 4871, 17084, 799, 1131, 10393, 6749, 538, 1871, 269, 4746, 267, 519, 4871, 729, 9277, 547, 28231, 811, 9921, 12434, 585, 922, 4357, 1870, 5443, 971, 607, 519, 21471, 540, 1715, 3840, 267, 8330, 528, 15243, 3627, 543, 519, 4871, 518, 540, 15740, 267, 15537, 12852, 731, 269, 3509, 25743, 6462, 519, 3527, 540, 519, 9241, 21892, 4871, 267, 855, 930, 2760, 29709, 741, 16962, 1014, 8969, 602, 519, 13269, 3532, 9872, 1522, 581, 6757, 547, 519, 1857, 269, 7324, 519, 13269, 16002, 923, 729, 12448, 12722, 267, 945, 1419, 15034, 519, 3084, 4871, 540, 519, 476, 8687, 280, 11784, 1927, 609, 1010, 18793, 269, 634, 2962, 729, 513, 2565, 2804, 4965, 538, 519, 4182, 563, 763, 6433, 1185, 1044, 7707, 2989, 676, 519, 2034, 4871, 267, 1101, 676, 3352, 22529, 4601, 23831, 2724, 543, 1310, 519, 11784, 7018, 267, 11876, 8973, 519, 9304, 540, 4154, 547, 581, 10710, 693, 4130, 8492, 262, 13258, 607, 1134, 607, 741, 7218, 269, 634, 18793, 540, 12722, 849, 5156, 602, 519, 3084, 4871, 1185, 536, 1026, 539, 1082, 2229, 8387, 543, 14761, 676, 5356, 873, 1082, 2883, 7957, 832, 563, 1103, 476, 9264, 280, 267, 12722, 729, 1869, 538, 5604, 267, 543, 646, 13671, 593, 22956, 645, 1497, 267, 945, 729, 519, 4871, 781, 8689, 607, 1134, 607, 519, 4871, 269, 12722, 729, 10770, 547, 519, 3527, 540, 519, 4871, 607, 519, 8689, 543, 18793, 540, 519, 4871, 1193, 1882, 547, 15063, 621, 269, 589, 3943, 2006, 945, 10272, 519, 4182, 1282, 602, 942, 4767, 602, 513, 14686, 2112, 1996, 519, 4871, 1185, 1044, 10294, 676, 5518, 12448, 12722, 267, 12123, 621, 538, 2147, 19876, 7146, 24408, 2511, 267, 799, 646, 1185, 693, 835, 1448, 1031, 547, 4339, 519, 3703, 543, 12075, 563, 6097, 547, 12722, 267, 519, 1085, 28984, 729, 1010, 4161, 610, 6433, 1141, 646, 1131, 2161, 602, 519, 4871, 729, 12394, 547, 6146, 1864, 267, 855, 646, 1131, 6146, 621, 3079, 269, 1306, 942, 27636, 267, 519, 22497, 540, 519, 4871, 729, 2760, 1813, 547, 581, 17105, 1310, 1896, 1296, 269, 1717, 267, 538, 476, 8146, 273, 267, 950, 12722, 10443, 585, 519, 24164, 585, 519, 2034, 942, 267, 2038, 13359, 729, 4371, 676, 6837, 547, 556, 10461, 1125, 519, 2136, 2276, 4871, 269, 12722, 1287, 1654, 1729, 539, 519, 3915, 563, 1103, 12722, 781, 5048, 1282, 519, 1654, 1729, 267, 646, 5219, 519, 4871, 607, 5906, 543, 796, 6247, 6627, 547, 519, 1004, 781, 23118, 269, 1261, 13269, 602, 519, 22497, 2760, 1705, 7850, 3527, 547, 3382, 519, 3084, 4871, 689, 922, 6006, 14516, 538, 6628, 267, 945, 2760, 2808, 519, 1719, 540, 4892, 269, 3958, 267, 12722, 7604, 1078, 602, 519, 4871, 729, 513, 5691, 8116, 540, 519, 2229, 267, 855, 621, 9787, 539, 8128, 602, 941, 2760, 11292, 538, 519, 1876, 563, 2414, 22009, 519, 3510, 267, 519, 3084, 4871, 729, 513, 6073, 538, 799, 1134, 268, 8588, 2043, 1131, 1831, 811, 11327, 693, 519, 13258, 540, 1169, 12504, 269, 1261, 10294, 602, 519, 3532, 543, 14547, 18761, 519, 2229, 6411, 585, 741, 25796, 4128, 269, 1261, 5156, 602, 1152, 513, 3908, 2229, 602, 729, 7453, 1131, 1521, 782, 4961, 8449, 269, 4014, 519, 25430, 540, 519, 4871, 781, 22497, 729, 2760, 2469, 547, 1491, 1747, 267, 519, 4871, 1131, 1869, 1599, 585, 513, 1906, 1296, 269, 1717, 267, 538, 476, 8146, 274, 267, 547, 2569, 519, 1379, 540, 519, 4871, 267, 12722, 9859, 543, 26017, 1010, 22277, 547, 3247, 11488, 2229, 7482, 538, 519, 4871, 543, 1904, 585, 1776, 4871, 269, 1261, 10294, 602, 519, 1533, 1131, 3079, 2932, 922, 1870, 609, 930, 6074, 8492, 540, 519, 2197, 269, 31379, 5219, 547, 873, 607, 519, 4620, 8492, 540, 12722, 563, 288, 18979, 15784, 729, 1305, 1055, 676, 519, 4871, 1654, 1729, 540, 5518, 12722, 269, 4438, 602, 1974, 267, 15740, 17837, 941, 7142, 547, 3180, 513, 5870, 269, 1358, 1287, 8815, 602, 519, 2093, 540, 519, 7022, 941, 5906, 543, 30369, 547, 519, 4357, 3601, 269, 1358, 13269, 602, 12722, 4941, 547, 1747, 782, 9237, 543, 1318, 15271, 540, 782, 13348, 5328, 543, 1802, 560, 686, 748, 4961, 693, 519, 3653, 12871, 269, 769, 2110, 267, 646, 4941, 547, 581, 513, 9598, 1807, 1310, 23799, 1026, 5024, 5763, 547, 519, 27823, 4961, 610, 3843, 547, 1305, 519, 3638, 543, 519, 4057, 547, 581, 1996, 1142, 824, 547, 4341, 519, 4182, 607, 513, 1119, 7949, 538, 519, 4108, 269, 1717, 267, 1010, 18793, 1869, 26916, 1864, 269, 12722, 554, 573, 606, 18211, 7100, 689, 19280, 519, 4961, 269, 1635, 3850, 12722, 547, 16401, 519, 3532, 543, 519, 3638, 267, 519, 2112, 540, 519, 4871, 11292, 1010, 1489, 513, 1880, 11180, 2219, 547, 519, 5859, 563, 763, 3084, 4871, 781, 11685, 1287, 3989, 519, 4978, 540, 1082, 4961, 269, 16480, 267, 676, 3850, 12722, 547, 4019, 6325, 1379, 1996, 6837, 13497, 267, 519, 2112, 540, 519, 4871, 19443, 12722, 781, 2797, 14763, 538, 12180, 5906, 6411, 1996, 1864, 269, 634, 5859, 540, 645, 1497, 1287, 8604, 547, 723, 1447, 1764, 607, 1033, 847, 832, 610, 18793, 540, 12722, 5156, 269, 634, 7813, 2782, 2663, 2968, 513, 4049, 7521, 2339, 1851, 519, 1857, 267, 538, 519, 2046, 267, 543, 519, 6837, 269, 6355, 5443, 781, 1244, 20706, 26731, 538, 6115, 267, 25937, 20286, 3823, 519, 30369, 1870, 2175, 267, 3976, 5275, 606, 1439, 547, 519, 4871, 2112, 563, 763, 22557, 17367, 540, 519, 7245, 1287, 11130, 602, 519, 4390, 540, 519, 645, 1497, 538, 27200, 519, 4346, 540, 519, 4182, 1152, 12006, 543, 5059, 593, 519, 12178, 540, 519, 3844, 4871, 269, 2311, 1101, 267, 519, 25743, 1185, 7608, 519, 476, 8687, 280, 11784, 602, 621, 729, 9003, 3361, 676, 4871, 7482, 15639, 269, 1717, 267, 607, 519, 4250, 2620, 2989, 267, 519, 4182, 729, 811, 8701, 1242, 269, 898, 729, 538, 602, 942, 630, 8146, 275, 264, 602, 519, 1482, 25743, 10924, 519, 834, 2662, 12127, 257, 2012, 269, 634, 2012, 267, 2094, 519, 2296, 5428, 540, 519, 476, 1704, 628, 2540, 1996, 606, 782, 27703, 995, 14610, 267, 543, 585, 1373, 11292, 519, 5207, 14618, 6392, 563, 297, 11055, 729, 1287, 13042, 834, 21914, 12448, 594, 257, 799, 2417, 16668, 824, 2797, 27977, 547, 6813, 1864, 607, 513, 4622, 609, 513, 834, 309, 16587, 257, 13042, 521, 576, 335, 614, 269, 1717, 267, 1354, 519, 1439, 540, 476, 8146, 275, 267, 1082, 5449, 4871, 2828, 941, 29832, 755, 539, 693, 519, 2932, 540, 12722, 1141, 1256, 519, 12425, 17294, 29211, 17215, 1317, 621, 729, 676, 519, 15740, 4871, 267, 3954, 6407, 519, 3084, 4871, 269, 12722, 12758, 547, 1010, 2856, 540, 1210, 4620, 8492, 585, 519, 5313, 12074, 267, 799, 1256, 1310, 519, 1870, 5443, 5418, 12184, 267, 941, 2760, 8120, 547, 519, 2034, 4871, 269, 634, 22497, 540, 519, 4871, 1287, 1163, 1600, 538, 476, 8146, 277, 267, 1818, 12448, 12722, 3094, 519, 2112, 563, 763, 3527, 540, 12448, 12722, 941, 513, 1434, 2856, 267, 607, 646, 2808, 519, 10304, 540, 782, 1802, 560, 686, 748, 4961, 269, 634, 1292, 2832, 540, 519, 5822, 7813, 540, 519, 2136, 2276, 729, 547, 1118, 519, 1134, 268, 8588, 1004, 811, 7524, 693, 519, 13258, 540, 519, 824, 4961, 267, 799, 12722, 10353, 269, 5047, 267, 12722, 1185, 18793, 945, 5219, 547, 2933, 607, 24273, 607, 789, 941, 2141, 20938, 609, 1010, 3527, 269, 1261, 729, 519, 7022, 540, 519, 8723, 1004, 945, 1500, 1082, 4357, 14078, 543, 1870, 1004, 945, 16539, 538, 519, 3084, 4871, 547, 979, 693, 513, 2530, 269, 3571, 3527, 540, 11198, 532, 519, 5313, 12074, 538, 519, 5822, 7813, 540, 519, 2136, 2276, 543, 1904, 532, 585, 4620, 8492, 1500, 519, 25796, 4871, 8689, 543, 6067, 9037, 14761, 1651, 584, 9271, 543, 705, 728, 676, 1010, 3652, 269, 4935, 267, 835, 1522, 6813, 12722, 607, 513, 1434, 11221, 6205, 267, 945, 568, 5462, 547, 1294, 519, 1134, 5630, 540, 4961, 267, 607, 1134, 607, 3160, 3892, 540, 5313, 7482, 585, 1004, 945, 17330, 621, 563, 297, 732, 916, 7288, 267, 15623, 269, 834, 763, 7813, 2782, 281, 12448, 12722, 267, 22956, 645, 1497, 267, 543, 519, 674, 697, 585, 1977, 16010, 269, 1635, 962, 731, 2917, 6754, 918, 25301, 267, 13698, 281, 24380, 628, 565, 1889, 14539, 267, 476, 1001, 276, 269, 623, 335, 269, 1535, 4512, 267, 476, 6942, 269, 1269, 2764, 269, 876, 267, 12308, 1701, 634, 4750, 540, 9483, 3778, 476, 6507, 267, 1100, 269, 476, 273, 630, 1001, 278, 2567, 476, 277, 1724, 268, 277, 1691, 269, 1684, 328, 281, 476, 1015, 269, 6200, 278, 13478, 16573, 13078, 5881, 272, 10384, 271, 4097, 272, 454, 298, 25301, 267, 6754, 269, 834, 15578, 645, 3198, 298, 654, 2752, 281, 12448, 12722, 267, 22956, 645, 1497, 543, 519, 674, 697, 585, 1977, 16010, 1701, 11038, 3778, 476, 14138, 630, 1001, 277, 2567, 476, 2764, 269, 8158, 689, 4179, 2517, 14142, 269, 2889, 26810, 2593, 270, 13449, 1613, 11486, 6872, 20623, 6507, 273, 276, 324, 279, 325, 277, 325, 274, 2465, 10695, 322, 2568, 321, 278, 2801, 320, 3953, 322, 277, 322, 270, 272, 286, 335, 336, 268, 10594, 338, 924, 284, 7714, 3273, 541, 261, 322, 4565, 284, 3707, 277, 3451, 276, 454, 298, 11481, 267, 9410, 269, 834, 1015, 26812, 3215, 12700, 6168, 5518, 12448, 12722, 1701, 23539, 10870, 269, 23539, 10870, 267, 4864, 476, 273, 267, 476, 1001, 280, 269, 8158, 689, 4179 ]

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

[ 277, 282, 476, 4792, 275, 281, 14991, 268, 6795, 563, 268, 4173, 2103, 344, 1695, 681, 267, 26512, 5174, 752, 541, 30960, 269, 4347, 31637, 8760, 593, 11953, 20111, 1210, 2789, 1565, 6152, 3067, 1436, 8849, 3060, 17565, 269, 6755, 836, 267, 17111, 281, 28540, 269, 540, 4139, 10985, 593, 8950, 29093, 267, 24919, 267, 543, 10439, 1436, 269, 476, 1220, 275, 282, 533, 269, 476, 2004, 268, 7871, 563, 268, 6931, 14662, 267, 2672, 8863, 269, 4972, 540, 5295, 20996, 7177, 267, 2817, 17578, 532, 670, 7699, 2160, 670, 7562, 16644, 340, 15990, 269, 20959, 595, 3041, 476, 1220, 277, 267, 589, 10439, 6184, 18936, 3590, 585, 17183, 6778, 539, 20905, 593, 7179, 539, 18065, 8274, 269, 476, 1220, 277, 282, 476, 4968, 281, 272, 268, 275, 563, 268, 715, 298, 15595, 573, 715, 298, 267, 594, 3630, 29538, 2098, 267, 2806, 573, 514, 9049, 313, 269, 1323, 5690, 547, 1895, 12889, 593, 9102, 5547, 4604, 585, 12747, 3308, 14791, 269, 476, 1220, 279, 2904, 282, 476, 280, 263, 273, 2567, 272, 268, 1015, 563, 268, 631, 11293, 5632, 631, 293, 267, 667, 698, 2993, 8863, 267, 570, 15711, 2131, 11867, 590, 269, 4201, 11703, 20111, 14791, 6620, 281, 589, 5619, 269, 8950, 17496, 543, 12005, 4197, 269, 476, 1960, 277, 282, 476, 8287, 263, 273, 2567, 27868, 268, 27123, 563, 268, 10925, 5028, 4959, 295, 267, 594, 3630, 29538, 2098, 269, 7179, 539, 18065, 8274, 4347, 624, 24544, 4635, 19556, 5651, 874, 1108, 543, 13878, 700, 5723, 12005, 14409, 13088, 269, 20959, 476, 273, 526, 4139, 10985, 593, 4065, 5303, 543, 8950, 630, 2975, 4953, 290, 1070, 476, 1001, 271, 4873, 476, 2420, 268, 2190, 267, 6032, 269, 966, 276, 268, 3374, 280, 268, 8287, 563, 268, 594, 3630, 29538, 2098, 267, 19869, 592, 590, 267, 1325, 5025, 1777, 553, 681, 267, 1306, 1706, 2098, 269, 7844, 2861, 20111, 14791, 4480, 1210, 5951, 2280, 2981, 269, 18619, 540, 519, 476, 275, 628, 7489, 6513, 10985, 269, 476, 1220, 273, 282, 533, 269, 476, 1708, 277, 268, 3066, 563, 268, 16114, 1195, 334, 808, 267, 16677, 571, 5633, 808, 290, 267, 2725, 329, 17144, 700, 293, 267, 16114, 1195, 334, 589, 269, 20111, 6184, 18936, 4635, 12005, 14409, 543, 23027, 2280, 17992, 269, 631, 2975, 9590, 476, 1220, 278, 281, 25790, 538, 14464, 11106, 17976, 11872, 538, 8950, 3163, 269, 476, 1220, 278, 282, 476, 4366, 273, 278, 281, 277, 4097, 268, 4375, 563, 268, 623, 1872, 1794, 1156, 628, 328, 667, 267, 966, 718, 541, 14515, 6789, 269, 5510, 1467, 10886, 23779, 540, 7179, 539, 20474, 7956, 1210, 22276, 631, 10248, 6396, 540, 645, 3133, 328, 20474, 674, 2632, 269, 4095, 4750, 540, 3163, 543, 5303, 269, 476, 1001, 276, 5463, 282, 476, 279, 263, 3374, 2567, 272, 268, 275, 563, 268, 17286, 341, 698, 6951, 534, 808, 267, 14844, 541, 1690, 534, 918, 269, 7605, 755, 8131, 23779, 689, 11473, 1759, 593, 6987, 2400, 3171, 1155, 5590, 543, 17540, 21424, 29758, 520, 23990, 269, 4095, 4750, 540, 3163, 543, 5303, 269, 476, 1001, 276, 5463, 282, 476, 279, 263, 3374, 2567, 272, 268, 280, 563, 268, 18498, 808, 6347, 267, 681, 1868, 327, 13382, 269, 18948, 540, 28697, 543, 623, 2839, 2552, 9776, 6489, 31098, 12658, 3852, 497, 268, 2098, 11905, 1759, 623, 5960, 300, 3220, 1161, 269, 4095, 4750, 540, 3163, 543, 5303, 269, 476, 1001, 277, 3967, 282, 476, 280, 263, 272, 2567, 272, 268, 277, 563, 268, 1703, 616, 4867, 1100, 1201, 10587, 563, 1607, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 476, 274, 269, 271, 17821, 269, 0, 8512, 594, 281, 7827, 540, 5178, 529, 454, 288, 2078, 1063, 1079, 11282, 10321, 568, 6829, 676, 454, 1492, 1739, 11532, 563, 31628, 332, 281, 2913, 645, 815, 32647, 342, 10734, 272, 2073, 1547, 2073, 536, 562, 543, 595, 815, 32647, 342, 6831, 272, 2073, 1547, 2073, 524, 562, 581, 13279, 585, 454, 320, 6152, 2230, 966, 269, 3973, 972, 6818, 513, 2189, 562, 562, 5119, 623, 454, 272, 269, 589, 18980, 18042, 6453, 568, 2016, 676, 519, 4082, 642, 630, 339, 3738, 476, 1911, 6523, 263, 13301, 512, 476, 3393, 334, 3738, 544, 309, 1547, 4855, 519, 454, 324, 264, 634, 10545, 2318, 1871, 540, 512, 693, 799, 642, 284, 271, 563, 325, 264, 634, 10545, 2318, 1871, 540, 512, 693, 799, 546, 341, 7933, 339, 284, 271, 454, 272, 269, 6333, 519, 5547, 3254, 593, 519, 1318, 563, 5416, 264, 6904, 1019, 3941, 616, 6806, 543, 799, 835, 616, 1930, 888, 6357, 264, 27539, 476, 271, 269, 278, 309, 6749, 2066, 1142, 4464, 1532, 328, 1078, 26534, 454, 663, 1265, 27215, 563, 273, 269, 5565, 4998, 1019, 3941, 616, 5116, 538, 513, 5547, 3254, 2630, 912, 5416, 264, 14419, 530, 454, 2793, 10933, 281, 772, 14566, 9517, 10778, 19370, 476, 272, 630, 1428, 2798, 281, 476, 276, 2798, 1142, 994, 23737, 519, 1739, 2474, 912, 263, 274, 264, 9577, 7313, 5793, 454, 876, 772, 544, 8072, 290, 2316, 262, 299, 297, 630, 277, 270, 2676, 290, 876, 2048, 296, 685, 278, 14673, 8072, 337, 8072, 282, 968, 262, 16852, 8072, 267, 2073, 274, 267, 910, 318, 282, 269, 333, 10086, 23807, 480, 630, 304, 16282, 262, 344, 772, 454, 6889, 540, 1022, 454, 3583, 892, 575, 332, 892, 631, 8072, 2108, 892, 8072, 10634, 268, 1280, 476, 271, 269, 2048, 343, 13624, 297, 301, 8072, 309, 297, 304, 267, 595, 18089, 279, 286, 6515, 16667, 0, 2710, 2758, 4030, 593, 912, 298, 777, 657, 328, 7203, 19265, 16685, 454, 23192, 8995, 607, 513, 4158, 2699, 12162, 983, 5312, 2960, 10510, 540, 519, 2539, 7953, 1547, 898, 3576, 1296, 547, 22037, 553, 1125, 543, 1223, 581, 12725, 1191, 551, 539, 610, 5701, 676, 21512, 269, 2060, 4417, 540, 7486, 891, 15087, 941, 1287, 7074, 593, 17657, 543, 670, 261, 301, 3148, 269, 1879, 536, 343, 540, 1007, 15087, 3144, 267, 4173, 6647, 476, 279, 9863, 547, 581, 606, 2404, 3815, 269, 1879, 7486, 3461, 2016, 4761, 8102, 656, 543, 6669, 585, 3267, 5649, 811, 454, 25413, 5160, 2860, 281, 898, 568, 513, 4686, 2860, 540, 519, 2571, 8031, 799, 2408, 607, 6659, 2699, 610, 13711, 15087, 540, 519, 2960, 610, 538, 519, 16298, 540, 519, 16063, 8778, 269, 898, 666, 2049, 538, 4761, 19847, 2550, 267, 1346, 609, 4359, 554, 643, 21669, 1749, 543, 11361, 2367, 269, 27834, 3928, 616, 476, 2004, 268, 2568, 260, 543, 2126, 3681, 13141, 331, 8775, 6391, 267, 5982, 267, 18068, 630, 611, 341, 2331, 2665, 1040, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 12831, 1742, 281, 29518, 657, 328, 32646, 19265, 568, 513, 30279, 3599, 540, 519, 1973, 6077, 3774, 282, 621, 666, 2049, 538, 2367, 540, 1647, 9456, 16350, 543, 568, 2356, 711, 10728, 267, 621, 666, 849, 2408, 609, 7486, 630, 12000, 4809, 264, 1547, 634, 15087, 2356, 2408, 607, 1625, 680, 880, 27894, 593, 519, 2960, 269, 1358, 949, 849, 2408, 538, 519, 5023, 610, 22542, 8778, 543, 666, 581, 513, 2014, 540, 11702, 269, 6884, 789, 666, 1831, 11213, 952, 789, 3356, 538, 2450, 269, 16593, 602, 713, 568, 5363, 269, 3267, 5649, 811, 454, 306, 7219, 5288, 269, 1471, 30844, 281, 1703, 616, 1100, 1808, 5933, 267, 855, 519, 9998, 1106, 540, 31872, 568, 2356, 2759, 10389, 630, 338, 7219, 15087, 1070, 799, 666, 581, 7646, 610, 4049, 4470, 593, 875, 3573, 621, 568, 269, 4658, 609, 3573, 31872, 610, 811, 4359, 6375, 657, 6269, 1833, 666, 1020, 1471, 30844, 31872, 281, 9525, 540, 4835, 8219, 971, 607, 519, 22542, 8778, 610, 9641, 269, 2986, 1346, 267, 5761, 9525, 568, 2356, 814, 519, 10782, 23567, 269, 3267, 5649, 811, 454, 8253, 3533, 281, 918, 338, 538, 519, 5023, 568, 1100, 3476, 513, 1455, 2068, 1851, 11226, 2550, 267, 865, 649, 798, 711, 1294, 607, 1082, 2665, 607, 649, 4718, 538, 519, 476, 3445, 338, 269, 1703, 616, 513, 1297, 540, 5023, 17244, 602, 1223, 1413, 899, 31872, 267, 602, 616, 2484, 811, 1455, 982, 31872, 269, 1323, 5711, 11940, 6242, 23707, 568, 513, 5266, 2653, 543, 1928, 1652, 5650, 602, 786, 9090, 948, 12172, 1022, 22027, 269, 4495, 513, 23707, 568, 5833, 267, 621, 568, 606, 2653, 5868, 547, 1118, 269, 3267, 5649, 811, 454, 29995, 4413, 525, 621, 281, 1411, 4280, 827, 713, 1354, 269, 589, 9221, 1535, 2001, 3592, 2141, 786, 4413, 29518, 657, 328, 32646, 19265, 267, 799, 3085, 1405, 2356, 2014, 5761, 610, 9221, 2042, 269, 1403, 2576, 3085, 1405, 723, 23794, 2960, 15087, 267, 789, 723, 2370, 4960, 540, 2348, 621, 9170, 3116, 538, 519, 1560, 269, 1403, 596, 2611, 7255, 267, 1865, 609, 707, 2123, 10629, 269, 3267, 5649, 811, 454, 9989, 737, 777, 657, 328, 32646, 19265, 1025, 21123, 950, 596, 7903, 1524, 593, 621, 267, 972, 814, 1044, 513, 27295, 593, 1250, 6186, 602, 568, 538, 519, 7750, 1388, 6522, 320, 267, 950, 1775, 8831, 910, 621, 7140, 3043, 15017, 298, 4338, 5308, 296, 590, 2752, 4596, 7246, 281, 918, 4338, 5308, 296, 590, 2752, 4596, 7246, 25758, 681, 2752, 5085, 312, 10323, 2894, 715, 8582, 667, 17751, 306, 23166, 5990, 5442, 290, 3918, 3008, 5058, 14877, 27749, 623, 5588, 7728, 4888, 2316, 3918, 307, 4629, 309, 7644, 28940, 269, 5990, 312, 25758, 2475, 308, 3201, 14877, 623, 7838, 303, 4041, 23360, 6730, 27114, 744, 6717, 7838, 10396, 700, 9680, 306, 270, 8121, 300, 270, 8025, 3036, 288, 311, 299, 7419, 14899, 270, 22835, 13138, 16898, 269, 24199, 2475, 308, 3201, 14877, 670, 4338, 8976, 27602, 23166, 966, 28475, 670, 26996, 966, 7644, 3201, 29486, 4696, 1299, 11748, 6730, 966, 28475, 700, 8582, 570, 595, 21822, 2910, 7419, 4811, 269, 17692, 9358, 25758, 5442, 14701, 3633, 7486, 1341, 590, 7417, 22400, 9517, 9501, 4488, 24361, 8780, 1299, 667, 2207, 300, 269, 717, 4953, 700, 5723, 306, 23414, 4047, 290, 298, 3633, 6730, 20591, 290, 4785, 306, 20525, 16739, 269, 3267, 5649, 811, 8450, 476, 272, 811, 4387, 2626, 454, 7197, 855, 711, 782, 281, 769, 519, 772, 2529, 269, 898, 781, 6140, 1813, 547, 11226, 269, 1717, 267, 31872, 666, 2049, 538, 554, 643, 24308, 1004, 269, 834, 754, 2438, 31872, 257, 4386, 538, 1762, 19052, 2367, 945, 1810, 1405, 723, 554, 643, 267, 543, 834, 5035, 545, 257, 31872, 5540, 1647, 2085, 2367, 540, 1199, 10882, 610, 9925, 880, 16350, 269, 918, 338, 666, 849, 2049, 538, 1004, 945, 616, 6375, 657, 6269, 5962, 1813, 547, 18068, 610, 1418, 24328, 269, 3267, 5649, 811, 454, 1692, 1279, 1281, 1480, 15601, 476, 279, 3644, 2073, 519, 835, 602, 3123, 737, 777, 657, 328, 32646, 19265, 267, 2661, 3544, 519, 1560, 593, 513, 7450, 6023, 888, 8133, 281, 4208, 798, 596, 2307, 286, 1403, 596, 616, 7486, 2318, 267, 972, 616, 1082, 824, 7399, 547, 2491, 17422, 2589, 269, 29518, 657, 328, 781, 19082, 2059, 519, 32248, 694, 24473, 540, 519, 9641, 543, 786, 581, 7298, 547, 519, 10237, 6048, 607, 2799, 26300, 527, 658, 24795, 952, 621, 568, 31916, 269, 594, 993, 19914, 596, 616, 1072, 6857, 269, 7454, 16858, 269, 3267, 5649, 811, 454, 298, 777, 657, 328, 729, 281, 634, 13711, 3983, 613, 693, 519, 4463, 540, 519, 7486, 6433, 267, 855, 568, 711, 2938, 1360, 4749, 693, 782, 538, 519, 2085, 540, 3810, 3742, 4550, 3146, 339, 22201, 12637, 3797, 269, 1284, 917, 602, 1004, 609, 1970, 524, 323, 268, 275, 12523, 543, 22905, 10194, 13907, 616, 588, 559, 693, 1981, 585, 782, 540, 519, 834, 9404, 684, 665, 20234, 668, 2213, 257, 3676, 267, 855, 3909, 569, 635, 2993, 656, 554, 643, 266, 11570, 4122, 723, 8375, 524, 323, 268, 275, 12523, 543, 32373, 762, 554, 643, 269, 4032, 338, 711, 942, 256, 3267, 5649, 811, 454, 3528, 4214, 267, 621, 568, 23872, 630, 328, 4318, 1421, 1373, 12725, 12362, 543, 693, 2547, 5376, 6776, 331, 958, 5827, 540, 22037, 553, 1944, 1070, 543, 14340, 689, 1315, 13147, 923, 4887, 610, 24561, 5160, 2609, 602, 616, 711, 20768, 610, 4761, 1315, 3043, 2281, 269, 634, 32646, 1260, 553, 616, 513, 14831, 3585, 9867, 543, 13542, 727, 1920, 540, 12970, 267, 1498, 9684, 2685, 1447, 1455, 982, 15910, 5557, 543, 519, 26679, 1315, 3267, 5649, 811, 0, 8512, 540, 713, 7084, 781, 2262, 532, 568, 6273, 676, 519, 2699, 12874, 14456, 6424, 27213, 693, 519, 2160, 540, 9098, 269, 8729, 267, 25272, 2336, 28606, 17067, 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 ]

[ 0, 2878, 16215, 476, 272, 281, 23433, 10960, 2806, 1988, 4373, 8702, 547, 938, 1101, 1770, 1141, 649, 786, 2263, 930, 540, 519, 1034, 5863, 543, 2189, 3662, 5759, 256, 3245, 2706, 4222, 547, 6909, 3432, 267, 2831, 723, 9862, 930, 9058, 1983, 547, 948, 873, 7639, 538, 741, 5054, 269, 5620, 596, 2479, 9289, 875, 17605, 666, 4163, 3615, 1082, 2053, 18219, 982, 2933, 610, 1946, 31450, 666, 2490, 741, 9843, 3592, 782, 519, 1259, 1472, 286, 2913, 779, 4685, 883, 519, 4241, 1158, 540, 3662, 14624, 1927, 2439, 1262, 4089, 476, 272, 281, 8111, 23848, 4373, 5278, 2831, 4865, 6909, 2168, 1379, 3379, 547, 741, 2450, 269, 4165, 338, 267, 585, 3236, 267, 666, 12740, 543, 4163, 3688, 602, 9260, 909, 547, 476, 2004, 2053, 741, 1378, 1560, 2597, 256, 2334, 779, 899, 513, 1480, 17666, 513, 1286, 4904, 609, 1004, 269, 1358, 3035, 713, 9028, 676, 2348, 2178, 6091, 543, 606, 608, 18929, 13987, 1107, 513, 2182, 5007, 8720, 602, 2488, 1489, 543, 4027, 269, 901, 4999, 2636, 17605, 547, 1847, 5230, 13907, 7561, 2066, 1279, 9883, 780, 5194, 11141, 1383, 540, 2706, 4222, 2501, 689, 6263, 1216, 12217, 267, 849, 1634, 607, 512, 731, 580, 10232, 269, 1452, 18784, 7068, 2661, 538, 3309, 9249, 971, 607, 3037, 267, 6978, 16445, 267, 543, 1256, 2620, 5498, 320, 512, 29168, 269, 1879, 2175, 1831, 10792, 267, 971, 607, 1282, 26221, 610, 3665, 5210, 267, 1216, 12217, 1225, 331, 909, 883, 513, 3440, 1572, 513, 7113, 543, 4283, 513, 1533, 1572, 6939, 11893, 2670, 269, 4438, 713, 942, 267, 789, 6336, 5176, 782, 10408, 1216, 543, 2408, 4625, 13204, 3603, 269, 1717, 267, 2899, 15028, 2175, 2132, 267, 789, 556, 5139, 3433, 543, 16056, 3339, 2534, 269, 1809, 1934, 779, 519, 14736, 518, 910, 950, 2847, 1882, 267, 1216, 12217, 666, 11851, 4229, 6697, 547, 476, 272, 267, 1822, 2053, 741, 1560, 2597, 256, 5994, 1373, 2111, 547, 4584, 909, 513, 7372, 536, 30629, 1310, 6704, 1152, 835, 4837, 540, 1216, 269, 3767, 602, 1131, 581, 7168, 3579, 2439, 1262, 4089, 476, 273, 281, 31453, 1308, 28438, 697, 4373, 6624, 2831, 7048, 8185, 593, 741, 2631, 540, 8289, 547, 6330, 741, 10450, 269, 15083, 3149, 267, 4583, 585, 741, 2647, 4064, 543, 30148, 10122, 23258, 267, 30107, 11108, 5075, 269, 4256, 1804, 3750, 27750, 1683, 2799, 1769, 8417, 1813, 547, 811, 2584, 648, 1061, 528, 2281, 14095, 3330, 1142, 3750, 269, 5047, 267, 8685, 983, 11057, 4064, 2285, 31450, 10822, 22811, 5075, 267, 7175, 873, 547, 7447, 9883, 8308, 543, 10502, 12398, 10352, 269, 1924, 267, 1247, 3425, 949, 6560, 547, 1294, 5693, 538, 27452, 1396, 5624, 267, 31450, 8853, 896, 1346, 1482, 2175, 780, 291, 16400, 13219, 616, 1776, 1895, 540, 2831, 609, 7415, 3308, 7207, 269, 2060, 936, 476, 1789, 267, 1822, 14485, 11231, 538, 513, 7623, 3750, 267, 15743, 13219, 2972, 31858, 25271, 5784, 540, 741, 1604, 269, 3962, 7828, 19306, 513, 1507, 6712, 540, 519, 2949, 6429, 267, 3850, 15743, 13219, 547, 3713, 3350, 3533, 543, 2746, 9935, 269, 1280, 6476, 267, 4952, 3843, 547, 4585, 2789, 7641, 13819, 8195, 282, 621, 1522, 3280, 4101, 267, 855, 15743, 13219, 7485, 1055, 713, 9028, 24672, 780, 1262, 4089, 476, 274, 281, 3816, 1046, 762, 26504, 4373, 2304, 7769, 4159, 4230, 15929, 6043, 1996, 1585, 2825, 2591, 269, 6875, 519, 3979, 17707, 267, 585, 1383, 269, 4706, 2960, 568, 11212, 5394, 543, 9157, 267, 7893, 1063, 476, 271, 269, 4037, 547, 476, 272, 10759, 630, 273, 268, 273, 269, 276, 4699, 264, 538, 3178, 269, 6736, 922, 10373, 2450, 267, 606, 2937, 17707, 1869, 2115, 547, 2149, 3294, 689, 29287, 3141, 14315, 267, 15495, 267, 543, 8325, 3615, 269, 18479, 17100, 1419, 946, 16095, 31725, 543, 7452, 29636, 547, 1832, 741, 2960, 5848, 28962, 543, 13104, 539, 689, 5739, 11158, 12345, 269, 1635, 3257, 865, 267, 789, 2226, 2635, 2960, 1247, 11972, 3665, 5210, 8151, 689, 16171, 4411, 17334, 547, 1085, 528, 4221, 3905, 2395, 780, 1103, 4334, 267, 1978, 2249, 8858, 7415, 8112, 538, 15268, 547, 1114, 8134, 269, 634, 1977, 32613, 1807, 2729, 20354, 1312, 538, 15195, 2220, 10102, 543, 15741, 880, 9381, 23047, 1127, 2059, 519, 25878, 2136, 2276, 23795, 269, 2353, 580, 2209, 4865, 7463, 6070, 15374, 2282, 741, 4064, 543, 11469, 267, 4543, 873, 1163, 601, 4430, 20919, 12842, 689, 26869, 269, 1306, 513, 1267, 267, 789, 666, 3362, 6467, 1063, 9249, 4470, 593, 1426, 8244, 543, 2916, 2242, 780, 3086, 602, 596, 4312, 4121, 827, 891, 9735, 3662, 5759, 267, 2015, 875, 789, 5351, 6668, 538, 1585, 5054, 269, 6056, 827, 824, 2831, 596, 917, 543, 4898, 1018, 2189, 15421, 789, 949, 4865, 269, 5457, 267, 2470, 2760, 2781, 1162, 547, 993, 10270, 721, 609, 922, 11995, 5876, 543, 5647, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 30948, 616, 5339, 11964, 286, 1684, 789, 2965, 2339, 547, 3988, 286, 1215, 827, 547, 5830, 286, 1548, 2010, 540, 5339, 11964, 2291, 286, 1656, 952, 596, 2811, 513, 5856, 267, 875, 798, 596, 6430, 799, 9135, 547, 2328, 538, 888, 2414, 2253, 547, 1589, 827, 5339, 11964, 267, 1577, 781, 1376, 609, 606, 1383, 563, 4131, 781, 2161, 1616, 547, 1224, 1945, 269, 1411, 979, 547, 513, 21869, 648, 610, 5577, 5196, 513, 4558, 2228, 610, 979, 547, 513, 5399, 563, 3719, 3079, 540, 513, 8799, 1268, 9849, 2542, 14296, 543, 513, 3556, 10247, 6998, 596, 1018, 2835, 596, 899, 543, 1287, 3206, 998, 1169, 1433, 2479, 2854, 547, 1265, 596, 519, 1985, 3501, 1224, 630, 604, 602, 1268, 11478, 267, 585, 519, 2594, 267, 789, 1131, 581, 1250, 5172, 1268, 1070, 596, 2811, 5185, 609, 713, 281, 9343, 543, 9343, 540, 2835, 609, 10297, 593, 519, 21684, 899, 968, 24145, 776, 11470, 2223, 968, 9199, 767, 2223, 968, 27270, 2223, 968, 16631, 11470, 2223, 543, 865, 593, 563, 2791, 3247, 693, 519, 6316, 540, 519, 21869, 648, 543, 1175, 1796, 972, 585, 513, 1247, 267, 588, 22981, 269, 968, 1432, 798, 782, 540, 891, 10297, 1256, 1611, 286, 17373, 1656, 1287, 596, 3802, 856, 540, 519, 4558, 563, 7775, 6148, 596, 2811, 1603, 513, 1433, 267, 543, 2576, 12134, 596, 513, 2243, 899, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4462, 1664, 10960, 2806, 1988, 257, 607, 851, 540, 834, 16300, 13493, 1315, 12292, 1315, 4937, 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, 20821, 18332, 19090, 18999, 323, 749, 267, 513, 812, 945, 5030, 936, 513, 4627, 1296, 3516, 855, 4171, 1764, 593, 2069, 666, 1869, 581, 5433, 2221, 256, 7982, 1287, 267, 3478, 513, 3318, 2069, 899, 4742, 513, 15818, 610, 4387, 7012, 1405, 11295, 1360, 1134, 269, 4658, 1223, 1831, 17864, 1310, 2542, 930, 2835, 267, 1256, 952, 789, 4769, 1405, 723, 1454, 6101, 2069, 25656, 269, 2334, 782, 4957, 950, 6004, 269, 18999, 323, 749, 2968, 519, 632, 534, 540, 12370, 4521, 3427, 630, 1492, 1283, 1876, 1153, 538, 519, 2197, 14386, 1063, 476, 6942, 271, 543, 476, 6245, 276, 780, 16031, 269, 18999, 323, 749, 5189, 1082, 1007, 3652, 602, 1500, 1565, 827, 1876, 811, 6896, 543, 2500, 1107, 865, 1454, 865, 602, 891, 2242, 5555, 3262, 3564, 1175, 1876, 3506, 543, 6766, 875, 649, 4001, 4915, 267, 4702, 267, 543, 6266, 540, 824, 5396, 269, 2913, 781, 2263, 2947, 2101, 9283, 646, 4547, 547, 3656, 2069, 1384, 272, 269, 17553, 1164, 7127, 4170, 281, 6969, 11836, 12370, 4521, 3427, 267, 596, 1185, 547, 2743, 1978, 4081, 7355, 282, 621, 7012, 1406, 2614, 15042, 547, 3274, 1224, 930, 2835, 269, 901, 24458, 3025, 3323, 741, 2090, 609, 2147, 4282, 1702, 269, 6056, 827, 707, 1378, 5049, 910, 9327, 1406, 621, 581, 2352, 952, 2576, 8678, 945, 22821, 1405, 4121, 1022, 540, 519, 1482, 1919, 607, 596, 888, 273, 269, 5029, 1944, 4245, 538, 1931, 281, 5994, 3843, 547, 1451, 2979, 4358, 609, 4359, 7223, 3079, 540, 1840, 1101, 256, 898, 1131, 581, 14845, 267, 1318, 286, 4270, 267, 713, 5949, 1394, 1287, 538, 1876, 3506, 2394, 6004, 269, 18999, 323, 749, 11231, 6030, 538, 513, 9266, 5311, 267, 4098, 609, 12863, 2035, 543, 7930, 3001, 2509, 1950, 3283, 269, 3807, 899, 2679, 7161, 267, 1142, 1362, 5280, 4020, 1620, 585, 2104, 3584, 563, 274, 269, 18227, 909, 519, 1434, 960, 281, 4495, 15861, 267, 1053, 2877, 547, 2226, 1808, 9344, 2429, 741, 942, 693, 12370, 4521, 3427, 269, 901, 12592, 873, 547, 2141, 798, 741, 1655, 543, 3251, 5059, 593, 741, 3853, 269, 1411, 4440, 1995, 1945, 2147, 538, 707, 1378, 5049, 1932, 2336, 275, 269, 5900, 24219, 1390, 3610, 281, 11334, 616, 2629, 585, 3811, 1565, 2833, 269, 1635, 2870, 2407, 6066, 3450, 7158, 1572, 834, 2889, 13940, 832, 2437, 6004, 269, 18999, 323, 749, 13631, 16805, 2043, 6131, 9003, 547, 18997, 2104, 17864, 269, 1452, 16929, 5342, 1382, 267, 3370, 4930, 267, 543, 7683, 4824, 741, 2409, 267, 4180, 1053, 4607, 5969, 12967, 6044, 563, 276, 269, 3690, 14127, 8021, 281, 5620, 596, 2479, 2219, 540, 8021, 607, 4376, 811, 982, 9602, 4025, 4904, 609, 588, 2931, 540, 2835, 286, 1280, 4505, 5481, 267, 602, 781, 4010, 1018, 789, 941, 269, 1809, 896, 6004, 269, 18999, 323, 749, 781, 5583, 267, 8021, 9927, 883, 6422, 7740, 540, 14172, 1141, 1312, 1053, 543, 3610, 15600, 2200, 1898, 585, 29947, 741, 1620, 269, 4653, 267, 938, 8021, 3136, 547, 11457, 25274, 1247, 5329, 9800, 519, 2245, 540, 3246, 3407, 1344, 693, 938, 31840, 780, 12552, 547, 18332, 19090, 18999, 323, 749, 267, 2469, 547, 1876, 1153, 1631, 3322, 11826, 2866, 543, 3102, 1353, 269, 1656, 7058, 1018, 286, 3509, 824, 4610, 4553, 9290, 256, 1924, 1985, 942, 596, 1265, 3054, 14952, 532, 693, 7760, 538, 1585, 2127, 540, 6791, 267, 3314, 972, 1522, 581, 513, 2370, 3787, 540, 18999, 323, 749, 781, 9371, 12018, 1346, 10781, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13731, 9372, 19090, 18999, 323, 749, 630, 9264, 277, 268, 5002, 277, 264, 729, 5310, 519, 1034, 9565, 4137, 538, 519, 1686, 540, 3656, 2069, 538, 519, 2136, 2276, 269, 1261, 8032, 519, 2413, 1876, 1153, 676, 10962, 513, 1297, 540, 1713, 15024, 1282, 1010, 26022, 607, 632, 534, 540, 12370, 4521, 3427, 630, 295, 11862, 264, 689, 476, 6942, 271, 547, 476, 6245, 276, 269, 11569, 267, 18999, 323, 749, 949, 1134, 581, 519, 1034, 9565, 4137, 538, 519, 1686, 540, 1977, 3318, 2069, 1317, 646, 3964, 693, 670, 11862, 267, 609, 519, 948, 540, 5518, 8176, 654, 269, 18379, 582, 267, 519, 2203, 585, 14206, 10601, 3318, 3506, 269, 476, 3571, 10124, 27137, 607, 5934, 4081, 4441, 585, 16075, 547, 4110, 6596, 2329, 267, 513, 28439, 543, 18615, 6437, 267, 5934, 4081, 4441, 585, 27402, 538, 513, 4110, 1982, 267, 513, 2024, 3645, 4876, 3950, 585, 12200, 2818, 267, 543, 519, 7004, 540, 519, 5399, 689, 513, 1837, 23789, 883, 513, 14046, 4199, 476, 2443, 13069, 877, 519, 2343, 547, 799, 3056, 1876, 3506, 267, 2564, 3506, 267, 543, 267, 6368, 267, 3506, 540, 824, 22825, 538, 519, 14206, 2540, 607, 18944, 269, 2549, 334, 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, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 1895, 3069, 267, 4481, 3695, 14245, 540, 2516, 269, 901, 1523, 814, 2484 ]

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

[ 5840, 729, 6849, 1082, 2591, 543, 2352, 3664, 269, 1809, 3079, 540, 3478, 16397, 610, 11821, 267, 891, 2367, 11542, 856, 1317, 789, 834, 25969, 519, 2053, 257, 543, 6785, 1018, 519, 1318, 3364, 547, 798, 729, 630, 272, 20048, 2873, 476, 1321, 281, 3953, 1040, 14348, 333, 1405, 621, 581, 1390, 952, 649, 1223, 798, 602, 1932, 286, 2913, 781, 2263, 875, 649, 666, 1246, 538, 519, 3723, 25074, 540, 519, 9093, 540, 9129, 778, 541, 780, 4089, 476, 272, 281, 1548, 6496, 898, 6399, 547, 834, 308, 2955, 519, 8648, 257, 2496, 2691, 649, 2911, 827, 834, 24483, 519, 2053, 2580, 649, 1611, 3843, 547, 1118, 2631, 540, 1018, 568, 8345, 538, 938, 1158, 2221, 1107, 519, 2152, 267, 3466, 267, 543, 2418, 602, 3337, 938, 2486, 269, 3807, 899, 538, 519, 942, 540, 519, 9093, 540, 9129, 778, 541, 267, 972, 616, 7899, 540, 1919, 12721, 585, 938, 3007, 543, 14336, 4800, 269, 1635, 3168, 5702, 693, 519, 3377, 267, 1514, 2923, 267, 543, 1256, 938, 1378, 2950, 267, 649, 666, 1376, 547, 5431, 3270, 543, 4798, 602, 948, 721, 1732, 9787, 1141, 649, 616, 543, 1141, 649, 1522, 581, 16144, 780, 12244, 281, 5620, 1053, 2097, 909, 609, 1614, 1699, 2621, 610, 3466, 789, 4312, 8068, 5063, 269, 3973, 267, 2307, 873, 547, 1589, 827, 875, 1346, 2621, 9305, 547, 835, 1776, 543, 1865, 1022, 1455, 16060, 602, 10836, 269, 1280, 1383, 267, 6148, 1896, 2984, 31721, 1472, 11587, 2509, 1866, 267, 6029, 602, 8296, 568, 12595, 3810, 538, 2221, 781, 2528, 780, 4089, 476, 273, 281, 16792, 19978, 27067, 4653, 692, 3086, 602, 649, 917, 1018, 621, 1797, 547, 1174, 519, 2053, 267, 1577, 781, 3142, 538, 519, 7326, 540, 519, 6426, 256, 7335, 543, 4974, 519, 6426, 3947, 721, 4030, 883, 1480, 2470, 267, 3347, 267, 543, 5837, 5079, 602, 1869, 8258, 3020, 2221, 269, 1284, 949, 7237, 3871, 610, 21140, 602, 5749, 1405, 12799, 5018, 538, 23075, 267, 855, 922, 10752, 1683, 15851, 3741, 602, 3391, 721, 538, 1818, 8797, 3664, 780, 7078, 281, 6056, 1394, 547, 12253, 267, 513, 812, 2713, 538, 24815, 2484, 2476, 689, 1010, 22657, 269, 1261, 5185, 2604, 547, 14883, 547, 519, 20770, 1014, 4622, 781, 2081, 267, 1519, 4189, 1426, 14894, 539, 547, 7329, 11169, 269, 5502, 540, 4758, 538, 267, 12253, 8359, 547, 2611, 21705, 547, 2696, 543, 1336, 513, 1259, 547, 31635, 7771, 519, 2709, 1247, 4509, 1010, 8699, 630, 25405, 1408, 476, 272, 281, 279, 268, 1626, 1040, 6684, 267, 12322, 2221, 3068, 9263, 2604, 547, 3514, 538, 610, 2119, 1007, 1919, 602, 1810, 1405, 5447, 609, 741, 4978, 269, 1635, 10452, 593, 12253, 781, 1650, 267, 789, 666, 1265, 6667, 543, 10100, 547, 3251, 3020, 547, 2933, 780, 4089, 476, 274, 281, 12389, 4934, 2659, 18321, 538, 519, 2622, 692, 763, 3803, 1900, 538, 1620, 519, 2053, 543, 7311, 13400, 7326, 568, 8380, 621, 782, 883, 2962, 256, 9861, 513, 1268, 540, 5132, 3085, 1405, 1175, 1611, 2469, 547, 5939, 610, 2542, 707, 6426, 282, 621, 849, 3322, 4687, 2696, 781, 2648, 543, 11419, 609, 1866, 269, 1879, 649, 957, 2687, 547, 938, 31710, 543, 1521, 3025, 609, 11587, 543, 2463, 267, 649, 1831, 2318, 7506, 1369, 938, 3885, 267, 3506, 267, 543, 2950, 780, 12244, 281, 11559, 1053, 547, 1711, 513, 1544, 585, 8026, 13400, 7326, 538, 741, 4948, 2729, 269, 9320, 789, 6430, 547, 1796, 909, 585, 2576, 1373, 13032, 1221, 267, 3442, 19969, 936, 26760, 267, 610, 3274, 6432, 18906, 1947, 547, 513, 1362, 22940, 10010, 609, 513, 1966, 269, 21894, 741, 3527, 267, 7618, 873, 602, 1169, 2370, 3787, 2306, 513, 3017, 780, 6962, 912, 9617, 899, 519, 9093, 540, 9129, 778, 541, 267, 649, 1932, 666, 11441, 547, 1174, 519, 2053, 543, 4431, 20617, 269, 1635, 9256, 4656, 540, 938, 2413, 2796, 609, 519, 5583, 3177, 676, 7097, 1116, 7326, 267, 1053, 666, 6330, 741, 7141, 1296, 18390, 543, 5132, 2685, 269, 1306, 789, 1332, 4587, 267, 891, 6208, 543, 2853, 786, 4196, 873, 1134, 2429, 741, 2937, 2729, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 2487, 2395, 267, 1250, 2247, 814, 1044, 840, 31039, 609, 519, 726, 697, 540, 5375, 2486, 267, 543, 4481, 267, 519, 1533, 540, 519, 5783, 693, 1804, 538, 3013, 269, 11153, 2621, 723, 15748, 713, 840, 21232, 566, 543, 1631, 27721, 547, 1128, 580, 622, 713, 1603, 540, 713, 2376, 269, 10738, 513, 1974, 540, 1175, 4557, 2395, 267, 594, 1185, 519, 1739, 2185, 2833, 912, 2108, 24464, 540, 9129, 778, 541, 267, 945, 6956, 519, 2053, 543, 6785, 1018, 5840, 1058, 798, 1848, 476, 272, 20048, 2873, 476, 1321, 281, 3953, 630, 301, 4353, 994, 272, 269, 1323, 3573, 6049, 6643, 609, 513, 2673, 543, 900, 514, 1836, 21616, 4168, 7015, 3762, 803, 609, 513, 2631, 540, 19727, 543, 7096, 6161, 269, 834, 296, 2503, 519, 1158, 547, 711, 1174, 1946, 594, 1616, 547, 2661, 513, 13411, 1272, 2437, 713, 3659, 26564, 267, 834, 8117, 950, 594, 3717, 538, 713, 6073, 547, 1082, 1004, 538, 519, 5939, 267, 789, 1413, 693, 803, 899, 594, 6415, 10808, 269, 1937, 572, 982, 602, 267, 2818, 540, 519, 5939, 666, 2661, 538, 1930, 18326, 1996, 2696, 781, 4031, 609, 1100, 4539, 1701, 634, 7138, 1194, 3210, 799, 713, 3659, 1419, 11392, 538, 6643, 568, 711, 4553, 676, 930, 1106, 540, 24895, 799, 14380, 547, 512, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 19978, 5525, 1315, 6426, 5530, 20929, 1315, 5440, 673, 5525, 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, 5149, 476, 1015, 281, 8682, 6953, 27626, 11150, 585, 5441, 4841, 13958, 2216, 609, 11838, 281, 29760, 593, 16508, 19938, 692, 7072, 912, 1103, 2221, 781, 3728, 19550, 1158, 267, 23206, 4347, 7228, 15214, 13808, 13081, 630, 4696, 8461, 264, 814, 4299, 6634, 540, 2043, 267, 1519, 10708, 543, 1762, 4079, 11504, 2852, 269, 901, 14715, 2783, 1419, 28107, 3294, 998, 1585, 2591, 971, 607, 7965, 23622, 267, 9363, 6896, 267, 19551, 1898, 3877, 267, 543, 15725, 4664, 269, 1280, 2937, 1453, 540, 6219, 705, 22852, 267, 891, 2591, 666, 581, 1256, 811, 14733, 1813, 547, 1071, 31507, 2590, 4713, 543, 2825, 2188, 269, 769, 713, 1770, 267, 649, 786, 2263, 2963, 2861, 1582, 25298, 2994, 602, 3895, 3929, 7939, 1983, 543, 2087, 2949, 2298, 540, 1272, 585, 2852, 1053, 8995, 609, 11838, 780, 4089, 476, 272, 281, 4197, 11838, 543, 922, 8177, 593, 5441, 4841, 692, 4696, 8461, 568, 6353, 676, 10770, 3270, 540, 5409, 5562, 267, 791, 14601, 267, 543, 538, 3430, 550, 633, 5615, 7133, 3232, 8647, 2066, 2789, 5468, 630, 13563, 5369, 12278, 5948, 267, 476, 1001, 274, 1040, 634, 1764, 540, 11838, 11498, 3564, 6689, 883, 15296, 267, 1141, 621, 7506, 4081, 9740, 267, 960, 2773, 267, 14375, 3347, 267, 543, 2790, 1072, 4093, 269, 5441, 1053, 609, 3768, 328, 30938, 610, 15860, 11838, 3068, 1713, 7496, 538, 8236, 4081, 1967, 543, 4509, 1134, 5630, 1282, 713, 2565, 11095, 3942, 269, 4475, 267, 2038, 8446, 543, 6304, 616, 2629, 547, 19086, 2942, 4539, 780, 4089, 476, 273, 281, 3213, 14114, 764, 584, 5270, 540, 11838, 543, 28548, 18816, 7324, 560, 5441, 4841, 692, 22137, 2303, 513, 1164, 9860, 2557, 540, 635, 12643, 7190, 1063, 11838, 543, 6219, 946, 4713, 1851, 2852, 5095, 269, 27051, 476, 1839, 260, 540, 1004, 5275, 2126, 585, 6219, 6057, 849, 2743, 7355, 585, 11838, 630, 298, 612, 2401, 1696, 620, 1421, 476, 1220, 277, 1040, 32183, 12614, 540, 11838, 4679, 13438, 2509, 3384, 513, 6219, 946, 4524, 2663, 538, 1272, 1813, 547, 1582, 2173, 539, 1709, 8942, 6322, 693, 17212, 1324, 4295, 2589, 899, 16297, 2225, 267, 1964, 16531, 267, 543, 4057, 7099, 2359, 269, 9182, 267, 5466, 1312, 2175, 8195, 3587, 14063, 585, 3811, 6051, 543, 4824, 1279, 3856, 23567, 780, 4089, 476, 274, 281, 15043, 16508, 19938, 10341, 692, 10387, 10056, 7988, 28832, 13054, 513, 1455, 4161, 5185, 676, 2043, 609, 11838, 267, 3056, 547, 15398, 2746, 2032, 267, 29338, 267, 17140, 22166, 267, 543, 28146, 16132, 269, 1677, 25559, 891, 2152, 267, 14237, 3929, 7939, 1983, 4249, 513, 11358, 1909, 538, 7393, 5626, 6043, 543, 5355, 4948, 10342, 269, 6206, 3334, 7854, 539, 1369, 2500, 7553, 9431, 2853, 27167, 1384, 320, 269, 17291, 17832, 7970, 910, 25506, 24970, 1027, 757, 10511, 23550, 7920, 3929, 6547, 267, 7175, 6267, 547, 840, 3319, 1947, 2936, 12003, 6127, 563, 321, 269, 24238, 9828, 910, 18918, 538, 1459, 2173, 30291, 4656, 5751, 5009, 5042, 8112, 543, 22887, 6672, 540, 32277, 28922, 6114, 563, 322, 269, 15465, 4676, 1090, 532, 910, 7420, 19450, 4978, 30343, 11605, 1247, 5807, 13261, 12496, 540, 3871, 563, 323, 269, 9046, 4149, 6295, 1107, 8061, 1047, 14323, 3435, 6439, 4328, 21500, 1266, 754, 1359, 3929, 18063, 563, 324, 269, 16418, 532, 4317, 8081, 1107, 22676, 720, 9263, 5121, 543, 2790, 1072, 2200, 14123, 16268, 2792, 543, 8994, 5351, 563, 325, 269, 26875, 1944, 8682, 4211, 732, 1107, 2353, 11229, 942, 585, 11005, 2553, 267, 2168, 2534, 267, 543, 16837, 18697, 29103, 1359, 2949, 9716, 780, 4089, 476, 275, 281, 20074, 8682, 6953, 27626, 11150, 538, 11545, 5020, 692, 2414, 14377, 7811, 1702, 883, 4052, 3498, 267, 6220, 1582, 25298, 12485, 16900, 883, 6296, 2238, 4564, 513, 32330, 25246, 540, 11455, 2208, 269, 1160, 12723, 2409, 17663, 1384, 320, 269, 5384, 5004, 13088, 910, 22982, 30300, 1513, 267, 24990, 267, 3059, 8924, 6908, 23164, 20319, 543, 4305, 12032, 3157, 563, 321, 269, 5530, 31346, 26659, 910, 15233, 3742, 1565, 2994, 630, 8999, 3405, 1944, 267, 3450, 9905, 1070, 31194, 2390, 9342, 630, 6665, 783, 267, 17391, 267, 10252, 20469, 23857, 1070, 543, 7413, 19240, 563, 322, 269, 12619, 30719, 28389, 618, 910, 19372, 5812, 3207, 16131, 267, 1711, 20009, 23103, 5054, 267, 2057, 13819, 18631, 21557, 563, 323, 269, 13262, 22159, 9828, 910, 6657, 11636, 4887, 11005, 267, 2620, 7244, 5751, 267, 11461, 11052, 32331, 563, 324, 269, 7913, 5489, 2135, 2305, 910, 21480, 11280, 2053, 2476, 689, 5907, 3457, 4227, 1344, 20358, 543, 1761, 12153, 563, 325, 269, 25398, 22895, 1681, 15789, 910, 12160, 622, 538, 1489, 2516, 8220, 13974, 3413, 21719, 2043, 4687, 2833, 267, 5796, 267, 19015, 780, 6962, 1384, 32382, 519, 1908, 326, 5573, 5251, 13514, 2189, 9465, 585, 1346, 21679, 609, 11838, 282, 2705, 267, 11439, 609, 3617, 1582, 25298, 2645, 13389, 3929, 7939, 5759, 267, 24567, 5640, 666, 6536, 30840, 8015, 14488, 269, 1635, 7598, 2963, 2861, 7459, 5941, 23954, 267, 2852, 1053, 25054, 593, 2123, 15322, 4724, 1582, 21553, 2889, 22777, 1796, 26405, 547, 28231, 8101, 12587, 1200, 531, 3429, 8476, 7607, 267, 20106, 267, 543, 15325, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 16920, 1549, 17211, 4524, 630, 4696, 291, 264, 610, 3007, 17211, 30759, 4524, 630, 4696, 8461, 264, 568, 513, 5778, 2041, 24173, 4524, 602, 5540, 6634, 540, 12322, 538, 519, 2136, 2276, 269, 898, 568, 513, 4524, 602, 3322, 5712, 540, 30759, 267, 538, 3430, 550, 4369, 267, 610, 791, 14601, 2623, 563, 4696, 8461, 814, 5063, 1831, 606, 4950, 7613, 602, 814, 2938, 811, 543, 811, 12322, 3343, 513, 5868, 585, 2589, 2404, 609, 11838, 269, 11838, 666, 723, 1896, 2360, 593, 707, 7141, 779, 1272, 2094, 621, 666, 1291, 547, 10010, 547, 1445, 538, 5049, 267, 5883, 741, 942, 267, 8373, 12180, 741, 4555, 267, 7928, 3765, 10293, 610, 2530, 540, 1271, 22590, 267, 543, 8373, 11264, 3818, 9912, 4247, 269, 1452, 9620, 666, 1118, 707, 7141, 779, 4081, 2773, 7771, 2094, 789, 723, 8373, 2519, 538, 519, 4928, 610, 1620, 1950, 4834, 2838, 538, 1153, 563, 2005, 568, 1271, 547, 3343, 5868, 543, 2126, 585, 11838, 952, 596, 14353, 707, 7141, 949, 723, 2919, 519, 2783, 269, 589, 2647, 2039, 540, 2126, 3681, 616, 2139, 585, 12322, 530, 6231, 2237, 606, 3573 ]

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

[ 4205, 269, 1358, 1419, 723, 2042, 14379, 609, 1004, 563, 10144, 945, 1995, 4606, 540, 4502, 16531, 1419, 6560, 609, 4606, 540, 27945, 1145, 269, 1358, 723, 1447, 4126, 585, 519, 2104, 543, 1265, 621, 2352, 547, 1265, 2495, 538, 1272, 563, 1692, 1281, 519, 4743, 540, 4502, 16531, 979, 888, 2252, 596, 2461, 7683, 4743, 27945, 267, 8909, 267, 543, 16283, 267, 596, 2461, 4440, 11842, 875, 547, 5818, 707, 1582, 12635, 269, 1677, 1205, 7759, 540, 519, 4743, 540, 4502, 16531, 267, 596, 666, 798, 519, 1739, 912, 763, 1101, 1900, 593, 519, 1592, 540, 1919, 547, 798, 547, 1205, 7759, 540, 4606, 540, 4502, 16531, 568, 547, 5431, 519, 7553, 543, 13720, 621, 269, 8178, 3054, 607, 513, 2565, 20626, 543, 3313, 950, 713, 7553, 4386, 267, 1018, 3871, 621, 10039, 547, 267, 543, 875, 621, 5540, 596, 563, 3080, 540, 519, 1919, 596, 991, 547, 798, 547, 1205, 7759, 540, 4606, 540, 4502, 16531, 568, 547, 3398, 3054, 585, 945, 596, 616, 269, 12321, 1328, 568, 3501, 543, 3025, 2306, 9073, 269, 2142, 2186, 518, 676, 10404, 1944, 3054, 543, 2119, 547, 5372, 2942, 4555, 609, 2318, 543, 16268, 3283, 563, 8855, 2659, 19793, 557, 906, 454, 8722, 601, 902, 540, 4502, 16531, 666, 2061, 596, 689, 7487, 519, 2127, 538, 799, 596, 14133, 269, 1924, 3314, 707, 2250, 18517, 543, 5660, 873, 269, 1635, 7487, 707, 15421, 543, 9342, 267, 596, 666, 2569, 4606, 540, 4502, 16531, 563, 13729, 3853, 585, 3054, 454, 13729, 3853, 547, 2087, 3054, 543, 1451, 1007, 1983, 269, 19793, 1324, 891, 3853, 666, 5818, 707, 1582, 12635, 543, 2569, 4606, 540, 4502, 16531, 563, 30395, 15474, 17716, 454, 31339, 543, 11215, 3347, 666, 13468, 4606, 540, 4502, 16531, 269, 13185, 547, 707, 2673, 2828, 610, 1920, 267, 2671, 707, 4606, 543, 1205, 1489, 563, 7476, 3318, 948, 454, 2252, 4606, 540, 4502, 16531, 616, 4742, 606, 5571, 1966, 610, 616, 11874, 18363, 707, 1272, 267, 596, 949, 1616, 547, 2015, 17874, 609, 513, 11285, 269, 589, 13309, 666, 948, 596, 4308, 609, 891, 4606, 543, 2087, 707, 1582, 12635, 563, 1607, 2376, 666, 948, 1346, 945, 1616, 547, 1205, 7759, 540, 519, 4743, 540, 4502, 16531, 269, 1809, 3314, 267, 4743, 4502, 1652, 568, 1945, 3025, 2833, 689, 942, 547, 942, 267, 543, 621, 779, 15502, 547, 4339, 621, 269, 12315, 3054, 942, 543, 1451, 547, 3398, 3054, 607, 851, 540, 519, 1184, 563, 2791, 949, 581, 5461, 538, 912, 1692, 547, 1832, 4708, 693, 1753, 267, 538, 7365, 543, 4805, 888, 8340, 519, 3666, 540, 1272, 256, 27413, 543, 6698, 602, 3986, 21522, 1648, 454, 28406, 707, 10665, 256, 1215, 547, 1521, 513, 24158, 945, 1281, 711, 5660, 888, 763, 7887, 1966, 540, 938, 942, 281, 875, 547, 4194, 519, 1966, 540, 2792, 538, 3347, 888, 268, 1548, 568, 30776, 320, 3642, 267, 519, 2442, 5841, 4987, 3498, 540, 2487, 2053, 888, 268, 3345, 9705, 23619, 9604, 547, 6576, 454, 268, 12624, 22309, 585, 2348, 1200, 4816, 31024, 539, 782, 936, 1200, 1560, 281, 1744, 877, 6390, 24261, 454, 268, 476, 276, 18780, 593, 519, 8863, 303, 13188, 27545, 6828, 454, 268, 634, 28414, 2334, 17214, 3057, 1176, 333, 3933, 19172, 595, 787, 281, 9093, 11146, 2349, 1180, 525, 454, 268, 11910, 689, 5839, 1258, 547, 12907, 454, 268, 634, 1279, 19179, 1243, 4090, 814, 8452, 256, 476, 3607, 17408, 1115, 649, 561, 13774, 1117, 693, 519, 1034, 538, 476, 1708, 273, 454, 268, 7348, 619, 20366, 256, 634, 476, 278, 4279, 652, 21676, 1255, 538, 28414, 3778, 454, 268, 476, 276, 1034, 3532, 4775, 943, 21198, 338, 538, 3504, 12266, 10340, 454, 268, 2561, 7002, 585, 24494, 10425, 689, 519, 2622, 2657, 9257, 0, 303, 3558, 15494, 568, 827, 7114, 519, 12334, 267, 8159, 799, 835, 568, 2953, 267, 543, 4393, 519, 3950, 609, 519, 15494, 3769, 269, 9861, 2111, 547, 2953, 513, 12334, 538, 519, 18638, 568, 513, 9425, 1007, 6639, 13120, 269, 3245, 519, 4098, 540, 7913, 23866, 4518, 560, 725, 630, 6395, 310, 338, 1070, 972, 723, 1044, 1082, 11941, 547, 5449, 2553, 269, 623, 3558, 15494, 4188, 338, 519, 12334, 540, 519, 3003, 8301, 3148, 269, 1717, 267, 23024, 1206, 798, 711, 2015, 621, 519, 1655, 5690, 585, 14577, 519, 12334, 540, 519, 1291, 13047, 269, 9747, 267, 5841, 4992, 616, 811, 1455, 563, 763, 12472, 540, 623, 3558, 5589, 1800, 454, 303, 3558, 15494, 814, 13497, 7960, 936, 519, 1576, 540, 942, 883, 6620, 269, 1452, 6620, 616, 5827, 540, 7114, 543, 31925, 519, 12334, 609, 8766, 818, 974, 30440, 269, 1452, 941, 519, 1101, 3268, 585, 703, 19861, 4938, 1023, 269, 27009, 267, 2348, 513, 13047, 3950, 593, 513, 1402, 2594, 609, 13581, 15088, 538, 12334, 568, 3833, 4686, 269, 769, 1840, 267, 8030, 666, 3362, 2953, 519, 12334, 3330, 513, 18638, 267, 799, 814, 3366, 547, 10322, 1006, 538, 519, 3280, 540, 519, 4938, 1023, 593, 513, 1402, 10916, 269, 5047, 267, 1454, 540, 519, 7553, 5645, 676, 519, 13047, 626, 568, 998, 519, 11029, 7648, 540, 519, 12334, 563, 10144, 4122, 12314, 713, 6609, 609, 519, 1402, 2575, 9135, 269, 1809, 1169, 2511, 540, 2575, 3096, 713, 2186, 540, 15494, 269, 1280, 3236, 267, 8030, 946, 621, 547, 13498, 519, 4393, 2944, 593, 20749, 5950, 19827, 563, 303, 3558, 15494, 1568, 7561, 593, 513, 1395, 2684, 4577, 3950, 269, 634, 2601, 568, 602, 568, 4443, 547, 2697, 519, 12334, 689, 713, 2186, 540, 3280, 2707, 269, 901, 568, 1813, 547, 513, 13350, 5951, 845, 602, 666, 3362, 30712, 883, 513, 1114, 12334, 269, 10765, 7835, 723, 4957, 13497, 269, 3767, 789, 4125, 513, 1454, 811, 1950, 1184, 540, 7114, 519, 17950, 543, 2800, 9582, 540, 1367, 4967, 593, 513, 1808, 3950, 563, 303, 3558, 4856, 14431, 281, 18370, 543, 3117, 454, 27039, 593, 519, 1448, 540, 2070, 267, 12334, 15494, 666, 581, 2901, 5363, 610, 10413, 995, 547, 519, 2298, 540, 19827, 269, 2201, 519, 835, 1688, 267, 930, 13047, 1235, 723, 1336, 621, 5363, 2094, 789, 1100, 3476, 991, 547, 2594, 1169, 2582, 1899, 607, 8308, 607, 2009, 269, 2201, 519, 824, 267, 930, 2015, 602, 621, 814, 1044, 811, 5059, 593, 3478, 4743, 543, 1102, 2716, 542, 538, 519, 5639, 269, 901, 666, 1291, 547, 1732, 13047, 2773, 585, 513, 5152, 269, 0, 8072, 288, 3309, 543, 8537, 2486, 568, 2565, 585, 519, 1967, 540, 29049, 6816, 543, 938, 4182, 16224, 3081, 6428, 557, 5518, 28226, 454, 4002, 4873, 476, 3066, 267, 519, 10966, 7040, 12199, 602, 12621, 543, 9945, 666, 1100, 3476, 946, 5198, 607, 513, 7156, 585, 16075, 269, 901, 3375, 16765, 29354, 519, 32618, 30675, 602, 814, 28322, 27797, 12102, 1053, 538, 2362, 2069, 585, 1296, 563, 288, 742, 3305, 894, 2962, 267, 607, 3989, 676, 519, 10228, 9218, 267, 568, 968, 1492, 2259, 610, 3609, 540, 7957, 1681, 2043, 10362, 547, 2516, 9833, 607, 27797, 610, 1641, 547, 7130, 1848, 769, 2474, 540, 2362, 2069, 267, 31077, 2962, 4016, 547, 968, 320, 1305, 540, 4507, 602, 2327, 3160, 4316, 543, 2061, 7130, 1759, 593, 513, 3376, 2039, 540, 9163, 1519, 5198, 267, 3023, 267, 4008, 267, 4984, 267, 3084, 5169, 543, 9659, 1848, 1403, 713, 4992, 5432, 267, 621, 779, 1317, 621, 568, 849, 1031, 676, 968, 16029, 4316, 892, 12820, 950, 10229, 1930, 7158, 563, 288, 742, 3305, 894, 2962, 267, 1634, 1287, 607, 15445, 11352, 476, 11820, 1839, 267, 729, 1101, 1031, 676, 5518, 3627, 674, 269, 17394, 538, 476, 3422, 272, 8506, 2229, 25255, 547, 2327, 602, 23078, 616, 6964, 543, 616, 5701, 9425, 1282, 741, 7694, 269, 769, 476, 3422, 275, 267, 519, 6406, 7126, 2920, 729, 9896, 883, 1876, 267, 8195, 2870, 519, 26321, 25477, 31621, 8189, 267, 610, 519, 661, 292, 8016, 269, 3807, 513, 1032, 2663, 267, 5518, 10370, 526, 517, 645, 269, 9652, 9896, 15445, 11352, 476, 12208, 5379, 267, 799, 3964, 8433, 540, 8549, 20260, 338, 28597, 1369, 519, 4972, 540, 8534, 563, 763, 14469, 540, 11352, 7089, 476, 275, 538, 476, 3192, 272, 676, 5518, 29337, 4718, 519, 10014, 540, 2021, 269, 634, 19142, 540, 519, 29407, 2920, 540, 476, 3192, 274, 849, 4718, 3160, 4316, 607, 621, 4294, 547, 1004, 609, 9124, 269, 901, 5921, 602, 621, 568, 1631, 10363, 547, 5806, 3729, 1759, 593, 9659, 538, 3292, 5342, 676, 5313, 8041, 267, 3292, 602, 4309, 5313, 6351, 267, 5313, 7694, 543, 7694, 2853, 540, 1346, 609, 5313, 25255, 563, 763, 1101, 2013, 540, 31077, 2962, 538, 2362, 2069, 3576, 1747, 538, 476, 3192, 279, 267, 538, 3204, 757, 540, 519, 2160, 540, 4993, 642, 269, 25234, 651, 269, 634, 2475, 10966, 7040, 909, 18988, 519, 946, 540, 5198, 607, 513, 3815, 538, 7446, 1851, 11727, 3156, 585, 2852, 16075, 269, 634, 10966, 7040, 12199, 602, 621, 568, 796, 32016, 585, 519, 6280, 2564, 1153, 547, 15395, 1152, 476, 1240, 16295, 856, 540, 476, 1911, 829, 1362, 585, 27797, 12102, 1053, 269, 898, 729, 5462, 602, 713, 2259, 729, 513, 18670, 540, 7170, 17886, 540, 519, 6406, 7126, 2920, 540, 476, 3422, 275, 563, 763, 2034, 543, 3791, 1034, 1713, 2665, 7018, 538, 476, 1220, 274, 267, 609, 519, 6182, 28739, 642, 269, 12157, 1782, 518, 543, 6182, 13616, 642, 269, 12157, 1782, 518, 4031, 7057, 5466, 2591, 547, 519, 2160, 540, 12309, 15938, 543, 1876, 1153, 23504, 3292, 267, 6606, 269, 1452, 2665, 5795, 1219, 2397, 547, 519, 6280, 779, 1995, 543, 6791, 827, 922, 3872, 5692, 269, 769, 1312, 4031, 7057, 267, 519, 3375, 729, 1500, 602, 972, 941, 1100, 19374, 540, 519, 6406, 7126, 2920, 543, 519, 3375, 547, 946, 5198, 607, 513, 3815, 1851, 11727, 23078, 729, 909, 18988, 563, 1103, 476, 1001, 275, 267, 519, 10966, 7040, 909, 18988, 31077, 2962, 538, 519, 17384, 642, 269, 2160, 540, 7147, 2013, 269, 769, 476, 1220, 279, 267, 2806, 580, 841, 17384, 4294, 585, 15938, 16075, 543, 729, 17792, 269, 17384, 267, 1373, 513, 24272, 22057, 4775, 267, 19429, 3366, 9290, 1996, 519, 6280, 19101, 602, 519, 946, 540, 5198, 607, 606, 16075, 7156, 568, 513, 18670, 540, 519, 26321, 10466, 1849, 1021, 540, 519, 476, 1691, 628, 14821, 269, 634, 6280, 4831, 11130, 6031, 602, 519, 946, 540, 5198, 568, 7522, 569, 3358, 267, 799, 1797, 13197, 3152, 4763, 585, 519, 2875, 1560, 269, 634, 10588, 7040, 4956, 538, 3870, 540, 519, 2160, 540, 7147, 267, 1256, 1498, 519, 3375, 729, 2663, 4300, 4705, 543, 1586, 909, 18988, 563, 763, 1034, 2487, 2013, 267, 19429, 538, 5437, 540, 476, 1001, 275, 267, 729, 12199, 593, 4873, 476, 3066, 269, 769, 713, 27779, 267, 519, 3919, 4841, 585, 12876, 23670, 3827, 267, 513, 1875, 17416, 3919, 16922, 540, 1053, 543, 3237, 945, 3494, 602, 7292, 28944, 543, 7375, 538, 2852, 23504, 616, 15490, 267, 11991, 543, 796, 6247, 6627, 267, 19429, 513, 27779, 1996, 12370, 2160, 267, 19101, 602, 12370, 779, 5198, 23504, 3609, 5806, 3990, 1996, 7489, 1977, 23078, 267, 513, 18670, 540, 7170, 17886, 540, 519, 6406, 7126, 2920, 540, 476, 3422, 275, 269, 898, 568, 1271, 547, 4063, 602, 12370, 15109, 5198, 607, 835, 3815, 1851, 1082, 538, 922, 15938, 23504, 1184, 547, 4228, 4763, 585, 12102, 1053, 945, 723, 1044, 26173, 538, 2362, 2069, 269, 634, 2013, 2893, 2394, 5181, 540, 476, 1001, 280, 267, 950, 25960, 2353, 2581, 4446, 992, 15653, 519, 6811, 540, 519, 27674, 858, 269, 2701, 12199, 602, 12370, 1281, 711, 5806, 3729, 1996, 7489, 4892, 610, 4497, 538, 1022, 7292, 13326, 269, 1656, 602, 922, 23504, 2259, 946, 540, 5198, 568, 5812, 609, 519, 10966, 7040, 30675, 269, 634, 4841, 585, 12876, 23670, 3827, 19429, 606, 9029, 269, 681, 5699, 513, 1032, 2663, 267, 519, 7040, 540, 2561, 324, 1023, 909, 18988, 922, 3375, 267, 6031, 602, 12370, 2048, 338, 23504, 1982, 1281, 711, 29875, 7170, 17886, 563, 1103, 5988, 540, 476, 1708, 272, 267, 519, 4841, 585, 12876, 23670, 3827, 19429, 513, 21936, 585, 513, 1060, 540, 5909, 1640, 926, 547, 723, 519, 2013, 12649, 676, 519, 10966, 7040, 269, 634, 21936, 729, 15653, 267, 15663, 519, 476, 2412, 1296, 540, 3964, 3656, 30675, 269, 769, 5130, 540, 476, 1708, 273, 267, 519, 10966, 7040, 8815, 547, 5873, 713, 2013, 538, 28051, 609, 519, 4841, 585, 12876, 23670, 3827, 642, 269, 634, 2160, 540, 3345, 10491, 269, 898, 568, 1271, 547, 4063, 1934, 602, 6167, 290, 568, 513 ]

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

[ 630, 6795, 269, 4037, 274, 274, 269, 274, 284, 272, 269, 279, 9385, 8218, 9387, 265, 4153, 3847, 22570, 2765, 346, 6795, 269, 4037, 2410, 3451, 269, 274, 348, 815, 476, 272, 269, 279, 1422, 2431, 3738, 315, 754, 9387, 15857, 269, 634, 30133, 786, 1942, 1864, 476, 21497, 269, 3393, 7807, 259, 1789, 269, 3445, 17961, 9387, 15857, 273, 24206, 476, 1428, 269, 3393, 815, 1422, 1789, 269, 3445, 17910, 9387, 15857, 543, 476, 277, 269, 10844, 4009, 3952, 786, 979, 547, 3653, 630, 5780, 269, 277, 4037, 280, 269, 4037, 284, 277, 269, 10844, 9385, 8218, 9387, 265, 12917, 5780, 269, 6858, 268, 6795, 269, 4037, 815, 476, 277, 269, 10844, 9385, 754, 9387, 15857, 780, 2162, 10417, 9046, 8827, 692, 2791, 666, 946, 4173, 517, 781, 16754, 547, 1265, 519, 1858, 540, 835, 540, 519, 8188, 540, 519, 18158, 780, 763, 3830, 585, 519, 1858, 540, 519, 6906, 568, 281, 918, 284, 338, 4433, 320, 7565, 338, 321, 7565, 2675, 9385, 8218, 9387, 15857, 298, 815, 1422, 6912, 346, 338, 4433, 910, 513, 7565, 338, 910, 536, 7565, 338, 910, 524, 264, 4153, 754, 9387, 15857, 1141, 521, 284, 1321, 5416, 17070, 25239, 9385, 8218, 9387, 15857, 338, 31386, 2765, 346, 272, 2410, 273, 12917, 320, 17070, 25239, 9385, 754, 9387, 15857, 610, 3368, 540, 519, 15943, 540, 519, 6906, 780, 810, 267, 538, 713, 2013, 10484, 338, 284, 1321, 263, 1220, 266, 11260, 266, 11260, 6661, 20862, 273, 284, 18597, 17961, 9387, 15857, 338, 31386, 2765, 346, 272, 2410, 273, 12917, 1220, 266, 11260, 266, 11260, 264, 815, 1422, 2765, 346, 20862, 2410, 273, 348, 815, 476, 18597, 17910, 9387, 265, 10926, 4517, 692, 298, 284, 18597, 263, 18597, 1220, 7565, 18597, 11260, 7565, 18597, 11260, 6661, 274, 267, 16020, 17961, 9387, 15857, 298, 815, 1422, 6912, 346, 18597, 263, 18597, 268, 1220, 7565, 18597, 268, 11260, 7565, 18597, 268, 11260, 14587, 815, 476, 274, 267, 16020, 17910, 9387, 15857, 4009, 7397, 780, 2162, 6657, 692, 8340, 519, 1858, 540, 1142, 6906, 609, 519, 1614, 2016, 2427, 13080, 780, 272, 269, 476, 273, 267, 476, 1691, 267, 476, 1428, 454, 273, 269, 476, 277, 267, 476, 279, 267, 476, 280, 454, 274, 269, 476, 1015, 267, 476, 1691, 267, 476, 736, 454, 275, 269, 476, 1556, 267, 476, 1428, 267, 476, 277, 454, 276, 269, 476, 275, 267, 476, 275, 267, 476, 275, 454, 277, 269, 476, 275, 267, 476, 276, 267, 476, 274, 454, 278, 269, 476, 3953, 267, 476, 2412, 267, 476, 2004, 454, 279, 269, 476, 736, 267, 476, 1240, 267, 476, 2420, 454, 280, 269, 476, 736, 267, 476, 736, 267, 476, 736, 454, 1015, 269, 476, 1240, 267, 476, 1704, 267, 476, 1321, 454, 1556, 269, 476, 280, 267, 476, 1321, 267, 476, 1015, 454, 1321, 269, 476, 1556, 267, 476, 1240, 267, 476, 279, 454, 1724, 269, 14674, 950, 621, 2306, 519, 1034, 2631, 547, 946, 4173, 517, 781, 4542, 547, 1265, 519, 1858, 540, 513, 6906, 563, 1691, 269, 589, 512, 4979, 568, 1500, 540, 476, 1789, 21412, 12730, 269, 634, 13080, 540, 519, 5011, 540, 1142, 6906, 616, 476, 274, 6279, 267, 476, 276, 6279, 267, 543, 476, 278, 6279, 269, 1548, 568, 519, 1858, 540, 519, 512, 4979, 888, 1428, 269, 1548, 1826, 540, 6906, 609, 723, 519, 5021, 1858, 585, 513, 2016, 15943, 286, 8058, 610, 2491, 707, 7744, 780, 2162, 11872, 270, 11947, 7547, 11109, 8373, 286, 7797, 606, 3390, 780, 21760, 31209, 539, 7956, 11872, 692, 2162, 18500, 5678, 281, 2296, 692, 28350, 14240, 454, 15463, 517, 781, 16754, 4173, 517, 781, 4542, 568, 1031, 547, 5173, 519, 1858, 540, 513, 6906, 950, 519, 13080, 540, 782, 1614, 5011, 616, 1634, 269, 4173, 517, 781, 4542, 2829, 602, 585, 513, 6906, 609, 5011, 1269, 320, 8961, 1269, 321, 8961, 543, 1269, 322, 8961, 519, 1858, 540, 519, 6906, 568, 1269, 288, 7807, 6912, 346, 338, 4433, 8584, 7565, 338, 1532, 7565, 338, 2275, 264, 4151, 1141, 1269, 338, 7807, 2765, 21151, 17070, 25239, 2410, 273, 31859, 17004, 31674, 19672, 454, 20373, 454, 11795, 22187, 5426, 912, 30475, 912, 20428, 338, 281, 0, 1432, 4266, 568, 476, 1556, 2395, 3773, 689, 13723, 5988, 476, 2641, 267, 476, 1708, 275, 2496, 306, 1495, 599, 4728, 476, 6734, 267, 476, 1708, 275, 692, 29002, 476, 1556, 2395, 689, 13723, 5988, 476, 2641, 267, 476, 1708, 275, 568, 10732, 4728, 476, 6734, 267, 476, 1708, 275, 799, 568, 1554, 1297, 476, 6187, 274, 540, 476, 1708, 274, 269, 901, 2985, 568, 2966, 547, 948, 596, 519, 3268, 547, 1293, 476, 1556, 267, 855, 1174, 875, 547, 6460, 543, 1039, 942, 7157, 780, 1892, 16930, 11261, 281, 13723, 5988, 476, 2641, 267, 476, 1708, 275, 454, 1892, 17963, 689, 13723, 5988, 476, 2641, 267, 476, 1708, 275, 281, 10732, 4728, 476, 6734, 267, 476, 1708, 275, 454, 1892, 4303, 540, 519, 1032, 281, 476, 6187, 274, 454, 1892, 4303, 540, 519, 3018, 281, 10732, 454, 1892, 13600, 281, 4728, 454, 1892, 5729, 281, 476, 1708, 274, 692, 15612, 908, 476, 1556, 2395, 689, 13723, 5988, 476, 2641, 267, 476, 1708, 275, 676, 1688, 692, 16920, 3319, 532, 547, 1039, 476, 1556, 2395, 689, 13723, 5988, 476, 2641, 267, 476, 1708, 275, 676, 1688, 666, 581, 3833, 2352, 543, 942, 21791, 269, 589, 811, 10375, 1505, 568, 547, 946, 513, 11706, 267, 2436, 621, 781, 513, 2168, 835, 610, 513, 3059, 3498, 267, 547, 1293, 519, 2395, 689, 519, 2016, 4266, 269, 1717, 267, 938, 2395, 689, 1808, 4266, 9498, 529, 519, 15864, 543, 1034, 3608, 1259, 547, 4194, 713, 1966, 780, 2252, 596, 1616, 547, 12189, 519, 2243, 593, 713, 2985, 267, 596, 723, 1079, 3681, 281, 596, 666, 2901, 1689, 519, 15745, 538, 707, 11422, 781, 2232, 3046, 610, 979, 547, 938, 2395, 689, 1808, 4266, 9498, 547, 4283, 513, 1007, 13214, 269, 5901, 538, 2247, 602, 3257, 891, 2010, 540, 9273, 538, 707, 2212, 666, 581, 3833, 4101, 267, 865, 938, 9498, 729, 2919, 547, 4217, 596, 538, 713, 4305, 543, 1118, 621, 1454, 12863, 780, 306, 1495, 599, 4728, 476, 6734, 267, 476, 1708, 275, 853, 1846, 692, 1892, 4303, 540, 519, 3018, 281, 10732, 454, 1892, 13600, 281, 4728, 454, 1892, 4303, 540, 519, 1032, 281, 476, 6187, 274, 692, 15575, 532, 476, 1556, 2395, 4464, 689, 13723, 5988, 476, 2641, 267, 476, 1708, 275, 692, 15575, 532, 4464, 689, 2221, 267, 10732, 4728, 476, 6734, 267, 476, 1708, 275, 568, 476, 1556, 689, 1631, 1210, 938, 1699, 11706, 269, 476, 1556, 2395, 568, 6697, 547, 1384, 1556, 2395, 568, 849, 476, 25784, 3108, 269, 10732, 4728, 476, 6734, 267, 476, 1708, 275, 568, 476, 1704, 260, 540, 519, 1032, 6192, 780, 20751, 476, 1556, 2395, 972, 616, 476, 25784, 3108, 267, 476, 15647, 2412, 3764, 267, 610, 476, 31405, 6110, 7643, 692, 306, 1495, 599, 10732, 4728, 476, 6734, 267, 476, 1708, 275, 568, 519, 476, 6187, 274, 1554, 540, 519, 1032, 269, 2311, 602, 942, 267, 649, 786, 581, 476, 1704, 260, 998, 476, 1708, 275, 780, 1103, 476, 1556, 2395, 267, 519, 19105, 12287, 1975, 550, 13718, 1892, 476, 26951, 273, 269, 279, 3108, 12619, 532, 454, 1892, 476, 27183, 269, 1626, 3108, 14856, 543, 6704, 454, 1892, 476, 276, 1691, 269, 279, 3108, 5600, 3835, 2238, 454, 1892, 476, 14631, 269, 1321, 3108, 5600, 1740, 454, 1892, 476, 12739, 269, 9834, 3108, 5253, 7041, 543, 30749, 454, 1892, 476, 7367, 269, 279, 3108, 4521, 333, 543, 4677, 1416, 454, 1892, 476, 280, 2190, 269, 271, 3108, 11554, 543, 960, 5829, 2238, 454, 1892, 476, 25616, 269, 5400, 3108, 11554, 454, 1892, 476, 16928, 272, 269, 2764, 3108, 2274, 15370, 543, 5026, 454, 1892, 476, 4037, 276, 269, 6860, 3108, 654, 10248, 8613, 692, 293, 13904, 22505, 532, 543, 8535, 15638, 593, 4728, 476, 6734, 692, 1892, 476, 1220, 275, 2160, 540, 24543, 5182, 17872, 10994, 1299, 21483, 715, 14566, 8908, 4584, 966, 1550, 12070, 325, 1251, 630, 2420, 264, 530, 2644, 645, 1014, 8619, 10787, 21590, 693, 9741, 6519, 30989, 538, 20098, 30988, 454, 1892, 476, 4198, 277, 10656, 7669, 1067, 595, 1442, 773, 22050, 11253, 1513, 9397, 476, 736, 4458, 2025, 1158, 2594, 585, 476, 1911, 332, 1954, 5598, 630, 272, 281, 6860, 269, 273, 264, 0, 258, 23481, 7269, 692, 1892, 4455, 476, 1015, 628, 476, 1001, 271, 267, 476, 6187, 281, 2767, 7537, 454, 3333, 1177, 2993, 454, 16535, 6706, 7269, 454, 8340, 519, 11664, 540, 4399, 2765, 346, 272, 2410, 343, 317, 274, 4151, 538, 519, 7269, 540, 18159, 343, 268, 272, 8203, 274, 22570, 2765, 346, 272, 2410, 343, 15396, 343, 8203, 277, 259, 563, 1892, 4455, 476, 1015, 628, 476, 1001, 271, 267, 476, 6187, 281, 7871, 7537, 454, 21542, 268, 686, 3766, 320, 2173, 320, 454, 32621, 1384, 23192, 17397, 676, 695, 1177, 2993, 454, 8340, 519, 11664, 540, 4399, 2765, 346, 272, 2410, 343, 317, 274, 4151, 538, 519, 7269, 540, 18159, 343, 268, 272, 8203, 274, 22570, 2765, 346, 272, 2410, 343, 15396, 343, 8203, 277, 16859, 22091, 6416, 540, 630, 343, 910, 476, 272, 8203, 274, 815, 1535, 317, 274, 910, 476, 274, 343, 317, 273, 1341, 476, 274, 343, 910, 476, 272, 454, 5575, 1079, 2474, 540, 630, 272, 24474, 1341, 1535, 3738, 317, 277, 815, 476, 272, 24474, 317, 277, 1341, 476, 277, 24474, 317, 275, 1341, 476, 5541, 2483, 3383, 476, 272, 24474, 317, 274, 2165, 786, 581, 2139, 676, 519, 1587, 540, 1535, 317, 274, 265, 272, 24474, 317, 277, 543, 476, 274, 343, 265, 277, 24474, 317, 275, 454, 3383, 519, 11664, 540, 476, 272, 24474, 317, 274, 815, 476, 5541, 286, 0, 26524, 593, 10789, 281, 28977, 267, 24275, 4834, 543, 16526, 12943, 676, 1483, 21493, 2439, 31580, 1109, 15010, 1109, 10789, 476, 1109, 15010, 1109, 20877, 338, 9847, 5999, 593, 10789, 281, 28977, 267, 24275, 4834, 543, 16526, 12943, 676, 1483, 21493, 256, 3396, 1109, 8298, 2201, 692, 1520, 281, 1325, 613, 1962, 1807, 12814, 31758, 707, 7223, 2042, 543, 2488, 1900, 8386, 9912, 3137, 256, 1520, 281, 10789, 3752, 1386, 256, 12814, 281, 7223, 3301, 31758, 7223, 6780, 2042, 609, 1900, 8386, 9912, 948, 2439, 10789, 281, 28977, 267, 24275, 4834, 543, 16526, 3752, 951, 16497, 12226, 21287, 13658, 769, 3493, 628, 692, 7726, 476, 14681, 4649, 273, 281, 1548, 568, 519, 586, 25435, 540, 519, 3113, 540, 586, 815, 476, 273, 28682, 1341, 9745, 273, 286, 594, 993, 513, 2370, 11821, 855, 594, 1589, 519, 9745, 343, 543, 9745, 273, 616, 1312, 23055, 267, 865, 1535, 815, 476, 271, 476, 273, 263, 273, 264, 815, 476, 275, 2626, 476, 271, 267, 476, 275, 2549, 594, 2953, 286, 8729, 538, 4434, 585, 707, 948, 256, 20289, 928, 8437, 1934, 547, 1294, 2626, 676, 2423, 3149, 18484, 263, 277, 2764, 278, 2020, 7726, 476, 14681, 277, 1724, 281, 4855, 606, 3830, 540, 519, 1899, 17598, 519, 2016, 2175, 269, 3414, 630, 271, 267, 476, 273, 5148, 544, 284, 274, 270, 273, 8437, 1934, 547, 1294, 2626, 676, 795, 574, 318, 628, 15106, 6795, 272, 271, 263, 26326, 3607, 2020, 7726, 476, 14681, 30663, 281, 8641, 281, 586, 815, 630, 272, 270, 273, 32589, 910, 476, 272, 8437, 1934, 547, 1294, 2626, 676, 795, 574, 318, 628, 15106, 6795, 272, 271, 263, 26326, 3607, 2020, 7726, 476, 14681, 277, 4366, 281, 3113, 519, 2338, 593, 513, 1297, 1899, 269, 3973, 2328, 1079, 16526, 602, 5635, 519, 1079, 2338, 269, 7490, 948, 269, 594, 1174, 1297, 1899, 269, 7490, 4194, 281, 910, 277, 543, 476, 275, 8437, 1934, 547, 1294, 2626, 676, 795, 574, 318, 628, 15106, 6795, 272, 271, 263, 26326, 3607, 2020, 7726, 476, 14681, 278, 1789, 281, 16534, 630, 333, 19422, 333, 268, 274, 11924, 333, 14352, 278, 333, 268, 1428, 19422, 333, 268, 274, 264, 8437, 1934, 547, 1294, 2626, 676, 795, 574, 318, 628, 15106, 6795, 272, 271, 263, 26326, 3607, 2020, 7726, 476, 14681, 278, 2412, 281, 1215, 798, 596, 3113, 910, 274, 343, 2999, 910, 277, 610, 1535, 1341, 476, 276, 2999, 910, 273, 286, 8437, 1934, 547, 1294, 2626, 676, 795, 574, 318, 628, 15106, 6795, 272, 271, 263, 26326, 3607, 2020, 7726, 476, 14681, 278, 4375, 281, 1215, 798, 596, 3113, 910, 274, 343, 2999, 910, 277, 610, 1535, 1341, 476, 276, 2999, 910, 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 ]

[ 883, 519, 7372, 4224, 5250, 2488, 20605, 5784, 540, 519, 18932, 5251, 2630, 563, 273, 269, 6428, 541, 632, 772, 344, 27376, 630, 25405, 1408, 6682, 1842, 19435, 267, 30643, 264, 1107, 1306, 519, 1158, 781, 4102, 6070, 6366, 267, 6428, 541, 632, 772, 344, 27376, 21269, 936, 476, 1015, 267, 1822, 4009, 12919, 630, 274, 267, 279, 8618, 4009, 5195, 1040, 4438, 519, 24925, 4005, 267, 513, 6094, 4494, 540, 1216, 21810, 519, 1166, 1846, 883, 513, 9649, 8272, 549, 1042, 2627, 10452, 519, 6607, 1657, 269, 6250, 6002, 666, 2263, 30642, 8916, 4904, 609, 26009, 21728, 328, 2275, 2642, 10195, 267, 10477, 561, 6210, 976, 31523, 609, 1166, 5446, 657, 267, 543, 2848, 5446, 2520, 903, 619, 780, 8893, 476, 274, 281, 6184, 25378, 654, 1180, 619, 910, 589, 23281, 540, 19043, 692, 27455, 12201, 1419, 4196, 607, 3532, 23106, 540, 938, 3838, 8103, 543, 519, 10781, 540, 2250, 12977, 269, 1635, 7680, 891, 13300, 20250, 267, 649, 2744, 513, 4514, 7071, 585, 519, 4529, 789, 2099, 543, 519, 2984, 789, 2995, 269, 5565, 11121, 1806, 1331, 1384, 272, 269, 7557, 340, 20266, 32627, 630, 290, 639, 1723, 16323, 267, 18475, 264, 1107, 10705, 5219, 547, 607, 519, 834, 299, 739, 4975, 540, 519, 5549, 553, 2437, 7557, 340, 20266, 32627, 568, 606, 9058, 1383, 540, 769, 4754, 4702, 543, 23477, 269, 29321, 1194, 1164, 538, 519, 1656, 6756, 7823, 2039, 267, 713, 476, 1428, 628, 10601, 3632, 12818, 8761, 4241, 4030, 883, 519, 2729, 540, 519, 5549, 320, 1004, 543, 3091, 20498, 31858, 25271, 642, 626, 553, 563, 273, 269, 8891, 571, 630, 30538, 262, 534, 17135, 622, 267, 16888, 264, 1107, 19612, 607, 519, 834, 305, 846, 4414, 4975, 257, 1317, 540, 519, 11909, 3620, 4240, 32498, 689, 799, 621, 729, 20077, 267, 8891, 571, 7389, 1394, 547, 5111, 476, 24374, 7460, 269, 901, 3504, 2749, 6039, 607, 519, 3854, 540, 519, 715, 629, 1092, 6756, 8003, 543, 12286, 6946, 17633, 267, 9723, 2125, 267, 543, 1216, 31026, 1080, 269, 9373, 532, 998, 519, 7522, 13961, 336, 27905, 543, 18413, 4064, 593, 519, 23836, 27308, 2679, 585, 519, 1101, 942, 3762, 1169, 21233, 1659, 652, 30638, 780, 6962, 912, 18698, 4583, 21056, 2636, 721, 547, 1921, 609, 1114, 4529, 267, 5660, 1480, 5647, 267, 543, 1711, 9434, 8823, 269, 6787, 596, 29954, 790, 547, 3643, 11599, 20375, 610, 3605, 1055, 7308, 15515, 22760, 1790, 987, 16782, 267, 3314, 602, 1142, 19506, 814, 922, 1378, 1650, 547, 2995, 11652, 6947, 5702, 2337, 22962, 938, 1620, 540, 519, 1158, 1472, 721, 269, 8414, 12599, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1839, 5440, 7304, 730, 12875, 626, 5900, 10330, 538, 519, 2622, 454, 24309, 676, 700, 3570, 4521, 21213, 4924, 476, 1428, 267, 476, 1708, 273, 454, 9199, 767, 619, 616, 2141, 3168, 585, 6667, 547, 3391, 741, 9035, 269, 28527, 909, 609, 513, 1592, 540, 4025, 547, 3643, 666, 581, 4101, 950, 596, 2811, 31325, 693, 513, 8608, 269, 1548, 616, 519, 1283, 15805, 18845, 538, 519, 1158, 286, 634, 1034, 11599, 4609, 602, 782, 17631, 723, 593, 741, 19943, 2000, 626, 540, 1919, 547, 1294, 1472, 519, 8608, 888, 5278, 18353, 1175, 1796, 856, 1657, 519, 1964, 269, 3509, 616, 519, 1826, 540, 4025, 1141, 596, 666, 1491, 513, 8666, 267, 543, 621, 3340, 1100, 7778, 547, 2697, 519, 4087, 281, 519, 661, 858, 601, 18975, 610, 519, 2051, 657, 572, 636, 269, 1809, 930, 4025, 616, 1447, 1134, 1634, 547, 1007, 17631, 610, 1346, 945, 723, 711, 2943, 5887, 3293, 856, 547, 519, 811, 16678, 18353, 269, 1452, 666, 1419, 581, 519, 1034, 14785, 547, 3643, 563, 2690, 1082, 540, 891, 18845, 267, 621, 781, 1018, 789, 21843, 543, 519, 18353, 789, 2099, 602, 1118, 873, 865, 1713, 269, 769, 824, 2665, 267, 621, 568, 519, 3135, 3294, 602, 2306, 621, 4502, 9683, 519, 2197, 269, 2368, 540, 891, 616, 519, 544, 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, 769, 519, 5318, 13795, 540, 2518, 2148, 2137, 267, 7087, 8225, 9085, 26328, 513, 2189, 543, 1898, 2230, 269, 901, 3332, 3091, 721, 513, 6885, 883, 519, 2729, 267, 12583, 267, 543, 23381, 338, 540, 4516, 781, 3689, 8315, 267, 27478, 267, 543, 5450, 529, 9082, 267, 3850, 721, 547, 2263, 4798, 602, 13469, 7184, 609, 938, 1378, 2053, 269, 2290, 971, 6249, 568, 16132, 910, 513, 1523, 602, 829, 341, 3547, 1082, 1568, 540, 7087, 8225, 9085, 543, 5713, 607, 513, 3532, 7828, 998, 799, 547, 4983, 891, 5931, 780, 2414, 2253, 267, 1577, 721, 2015, 1018, 649, 1611, 676, 1412, 13318, 1464, 9538, 2311, 922, 4295, 267, 16132, 10522, 513, 3668, 540, 3666, 610, 3589, 1464, 282, 621, 5267, 10462, 267, 3348, 10846, 267, 543, 13438, 269, 2382, 1464, 666, 8915, 693, 1585, 2157, 267, 689, 2123, 16839, 547, 6626, 6848, 30331, 822, 1023, 267, 543, 1419, 12969, 338, 609, 2055, 540, 3961, 267, 1379, 267, 543, 10362, 269, 1452, 616, 10502, 519, 5686, 540, 2152, 602, 1082, 7087, 8225, 4589, 4497, 609, 538, 741, 960, 267, 1818, 713, 606, 2523, 3638, 543, 14785, 1858, 540, 1353, 780, 3080, 1259, 547, 1935, 519, 10206, 540, 16132, 1369, 7087, 8225, 9085, 568, 547, 2015, 875, 621, 12211, 547, 2055, 540, 1747, 543, 12761, 269, 1280, 3236, 267, 7338, 3751, 781, 3209, 5682, 23420, 267, 26121, 4826, 7710, 519, 1950, 2078, 1063, 7087, 2950, 543, 519, 2244, 789, 723, 20948, 585, 27453, 269, 1635, 5104, 868, 777, 3151, 2757, 2984, 543, 5137, 14868, 609, 519, 2833, 540, 4207, 3197, 21679, 609, 7142, 882, 6327, 267, 2825, 12159, 267, 543, 519, 9371, 540, 10821, 3506, 267, 3751, 19156, 519, 7096, 2631, 540, 20247, 6327, 602, 1082, 7087, 1004, 3136, 547, 3068, 269, 634, 1267, 568, 513, 12667, 24575, 540, 519, 6526, 1006, 543, 25359, 540, 1367, 543, 7104, 9163, 950, 12082, 538, 18633, 3037, 780, 5194, 1271, 2460, 540, 16132, 538, 7087, 8225, 9085, 4145, 1893, 543, 9423, 269, 1306, 1082, 5640, 723, 7074, 267, 19525, 814, 1185, 14042, 2360, 593, 7087, 4654, 267, 4529, 267, 543, 1702, 1949, 267, 3056, 547, 513, 6433, 540, 6041, 543, 5639, 269, 19536, 899, 8614, 2335, 8291, 28226, 630, 302, 16988, 12298, 1070, 570, 1682, 517, 23681, 630, 290, 872, 1070, 543, 10557, 3057, 12386, 630, 21946, 880, 264, 782, 20920, 609, 713, 3390, 538, 1114, 2081, 267, 19234, 609, 1106, 267, 9135, 267, 543, 1893, 547, 1711, 1007, 12331, 540, 4082, 602, 5706, 2144, 5501, 543, 7682, 741, 4527, 9624, 5571, 3157, 540, 21939, 543, 30886, 269, 4256, 1603, 8711, 519, 3348, 13895, 1145, 540, 10409, 543, 2686, 6561, 1247, 849, 15738, 2509, 7399, 585, 20344, 543, 25430, 780, 1103, 1840, 547, 3695, 8901, 543, 10409, 7516, 540, 16132, 267, 1896, 7087, 8225, 4589, 2232, 2790, 543, 3929, 24187, 538, 741, 960, 269, 25408, 267, 5830, 899, 9400, 25538, 1868, 324, 630, 302, 329, 756, 933, 264, 543, 19468, 29029, 26943, 13987, 631, 8531, 1512, 630, 18404, 529, 264, 5490, 2620, 883, 519, 5626, 29854, 540, 3140, 8194, 267, 8213, 267, 543, 6057, 269, 3414, 6151, 267, 9237, 6386, 602, 2482, 11953, 519, 1928, 543, 6043, 540, 741, 23233, 267, 891, 4589, 4161, 3988, 547, 13720, 13943, 18408, 827, 3936, 2401, 12258, 11102, 5208, 543, 922, 9434, 5222, 593, 7087, 8171, 269, 30027, 3585, 267, 789, 2709, 1350, 9404, 619, 540, 4126, 543, 7067, 267, 22348, 721, 602, 1256, 538, 519, 22984, 540, 1390, 7092, 267, 972, 6818, 1761, 585, 7004, 543, 2208, 780, 7661, 267, 621, 568, 4502, 6236, 875, 4207, 2152, 543, 9840, 1217, 938, 2542, 540, 7087, 8225, 9085, 1471, 268, 14504, 23724, 16132, 269, 8693, 1689, 267, 585, 1383, 267, 13514, 1713, 6937, 547, 7087, 3338, 267, 24454, 267, 543, 16285, 267, 7586, 4328, 4540, 4606, 540, 13438, 543, 23473, 269, 6684, 267, 5571, 9620, 585, 6284, 267, 1582, 24148, 267, 543, 5126, 3136, 547, 3337, 519, 32725, 540, 7087, 5339, 2504, 267, 23831, 3773, 2597, 547, 11269, 540, 4187, 543, 6668, 269, 1635, 2502, 609, 891, 13865, 2188, 267, 649, 666, 10802, 938, 7071, 540, 519, 15491, 2470, 540, 16132, 1369, 713, 1560, 540, 960, 543, 1732, 1174, 922, 10083, 547, 1312, 2250, 543, 1459, 19178, 780, 1103, 3932, 267, 6313, 519, 6249, 540, 16132, 538, 7087, 8225, 9085, 2636, 721, 547, 16785, 4514, 883, 10296, 2055, 7282, 3961, 267, 1686, 267, 1893, 267, 543, 6214, 269, 3414, 2673, 13220, 540, 1883, 5931, 543, 18906, 4369, 547, 9962, 8739, 27791, 6384, 267, 649, 2744, 3407, 4030, 883, 519, 5030, 2833, 540, 7087, 2950, 543, 519, 2591, 789, 3068, 269, 5047, 267, 649, 616, 19430, 547, 2992, 593, 938, 1378, 7158, 1369, 3889, 540, 1379, 543, 17979, 267, 18136, 2565, 5188, 543, 17604, 2066, 10665, 543, 6302, 269, 11086, 267, 713, 2186, 540, 6278, 11942, 3152, 4656, 267, 6568, 267, 543, 2463, 585, 519, 3309, 9739, 602, 13822, 519, 3638, 5958, 540, 1158, 3332, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9349, 594, 281, 4317, 16132, 454, 12892, 1128, 629, 4106, 14504, 543, 1128, 8494, 924, 527, 281, 7977, 543, 519, 13814, 454, 15307, 1192, 32136, 538, 652, 1963, 281, 642, 793, 22863, 540, 513, 4207, 267, 711, 3833, 2458, 2355, 532, 2197, 1107, 6792, 454, 20779, 4919, 16132, 281, 28993, 454, 301, 652, 8494, 30864, 540, 717, 539, 574, 21590, 10830, 543, 519, 3463, 547, 519, 3090, 540, 519, 1533, 281, 26403, 807, 454, 9743, 1464, 267, 513, 7123, 4641, 281, 27816, 543, 3013, 454, 303, 11823, 543, 1514, 16132, 281, 519, 6601, 343, 527, 3190, 454, 13233, 14359, 3264, 13150, 328, 13953, 7549, 328, 13150, 9841, 281, 12907, 454, 4462, 560, 762, 9163, 281, 28130, 543, 2342, 454, 763, 5641, 25498, 1107, 593, 519, 2357, 613, 540, 1272, 281, 16850, 454, 26045, 543, 2686, 16132, 281, 6576, 543, 11894, 454, 306, 23439, 331, 3570, 8734, 846, 331, 13960, 645, 545, 1156, 454, 24292, 16132, 281, 5617, 22654, 543, 12996, 454, 763, 16132, 540, 15349, 2069, 543, 922, 1198, 593, 2528, 543, 3332, 281, 11894, 454, 3412, 13607, 775, 281, 27816, 543, 12052, 454, 305, 617, 3419, 334, 589, 1066, 553, 9796, 534, 454, 1805, 11691, 543, 4358, 538, 16132, 281, 27597, 454, 9743, 629, 4106, 553, 7109, 753, 328, 281, 12868, 454, 1805, 762, 16132, 281, 27718, 13960, 454, 9349, 4083, 281, 9608, 543, 16650, 16132, 454, 21615, 571, 1424, 16132, 281, 8050, 454, 297, 517, 599, 2372, 5793, 334, 670, 1716, 5451, 526, 14162, 454, 20329, 22181, 1128, 320, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29378, 8225, 9085, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 4516, 1315, 476, 736, 628, 11416, 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, 20821, 25845, 8619, 256, 2701, 781, 606, 7969, 3332, 24158, 945, 8057, 909, 538, 7977, 855, 6410, 547, 519, 2136, 2276, 950, 1352, 2968, 606, 2937, 269, 4653, 267, 1352, 11414, 3332, 693, 513, 4583, 6280, 1572, 18628, 269, 4634, 1498, 1352, 2729, 538, 3013, 1631, 267, 1200, 2648, 585, 3332, 3323, 1394, 538, 7977, 267, 1141, 1352, 729, 4535, 543, 6659, 780, 293, 27509, 8619, 568, 1134, 1634, 585, 4974, 2984, 267, 9089, 267, 543, 9954, 1210, 2189, 2409, 269, 4107, 1004, 1589, 596, 991 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1978, 2296, 10404, 540, 1977, 3356, 5063, 1767, 267, 3013, 814, 1279, 1630, 16556, 602, 2701, 568, 519, 13621, 1494, 540, 519, 1158, 267, 855, 585, 519, 2250, 15823, 1296, 519, 7292, 2609, 538, 3013, 723, 15189, 547, 15835, 269, 1717, 3020, 610, 2150, 4902, 713, 949, 581, 540, 519, 19366, 2516, 689, 2342, 267, 621, 568, 547, 513, 1804, 6708, 3020, 540, 519, 12075, 540, 1715, 3840, 1533, 563, 20751, 938, 1533, 972, 616, 811, 982, 17174, 12075, 2713, 593, 31681, 269, 2755, 547, 782, 21286, 23079, 789, 616, 3540, 1242, 267, 891, 17174, 12075, 2943, 11677, 513, 1978, 17174, 7115, 543, 616, 1582, 3766, 1478, 940, 269, 634, 2201, 1180, 15676, 4182, 543, 519, 7354, 29132, 4182, 540, 12075, 979, 865, 2484, 607, 547, 7682, 602, 789, 1869, 2661, 593, 741, 18577, 2244, 543, 602, 1247, 519, 3557, 540, 1715, 3840, 814, 6738, 909, 1472, 873, 789, 616, 2943, 711, 538, 519, 3557, 540, 1715, 3840, 269, 661, 320, 262, 577, 6811, 547, 581, 513, 4182, 543, 2713, 896, 519, 4027, 540, 1978, 14097, 2924, 602, 10018, 547, 873, 741, 16285, 269, 11569, 930, 540, 519, 824, 11031, 1118, 713, 3409, 896, 519, 14097, 540, 2052, 7701, 580, 7699, 540, 476, 9692, 275, 267, 29064, 593, 262, 5130, 476, 2641, 560, 267, 476, 9692, 276, 267, 7682, 532, 602, 2376, 476, 273, 540, 713, 14097, 16219, 563, 18871, 1538, 18319, 1475, 299, 3907, 320, 853, 3757, 1512, 320, 910, 16016, 956, 324, 347, 0, 268, 901, 2680, 814, 5293, 563, 5456, 288, 17976, 910, 278, 10975, 267, 476, 2537, 6113, 5988, 476, 1708, 273, 281, 968, 31367, 16661, 532, 607, 513, 15613, 585, 519, 14066, 4149, 7051, 12650, 675, 543, 19554, 540, 27321, 2910, 273, 892, 1635, 4515, 269, 7671, 22413, 1069, 2714, 630, 308, 7374, 994, 2537, 5988, 7711, 476, 278, 281, 876, 6751, 1107, 476, 279, 281, 876, 6751, 10648, 307, 454, 2108, 31367, 16661, 532, 607, 513, 15613, 585, 519, 14066, 4149, 7051, 12650, 675, 543, 19554, 540, 27321, 2910, 273, 7536, 3528, 4515, 269, 7671, 22413, 1069, 2714, 630, 308, 7374, 994, 31367, 29056, 568, 606, 1271, 855, 20541, 27687, 520, 602, 814, 9738, 3047, 779, 2627, 2837, 1369, 513, 3376, 2039, 936, 1454, 540, 17027, 942, 269, 901, 10690, 7939, 14340, 1317, 281, 630, 328, 264, 3114, 29056, 540, 3623, 6510, 7725, 543, 6886, 27499, 3327, 545, 3679, 602, 568, 538, 3114, 11466, 609, 11626, 2910, 273, 267, 7551, 9427, 2910, 273, 543, 630, 4512, 264, 519, 3114, 29056, 3928, 540, 1455, 3623, 6510, 6886, 2333, 609, 2362, 5210, 269, 4935, 267, 585, 1383, 267, 513, 6727, 5305, 540, 2910, 273, 547, 519, 5790, 676, 1804, 4336, 8979, 1143, 538, 519, 17027, 2250, 1131, 723, 3361, 930, 2518, 8337, 7620, 267, 855, 713, 8337, 1131, 1287, 723, 3812, 8476, 3623, 6510, 29056, 602, 538, 2490, 1131, 7930, 4894, 1454, 540, 519, 4430, 2910, 273, 689, 519, 5790, 267, 5555, 19011, 1154, 2196, 12537, 8337, 269, 901, 2942, 5955, 538, 3047, 779, 2916, 1062, 4061, 6411, 607, 513, 19020, 2518, 27687, 520, 593, 17027, 2053, 322, 2297, 269, 2201, 1480, 2053, 322, 2297, 2705, 267, 713, 2067, 27687, 520, 568, 2484, 1932, 22376, 1375, 880, 547, 4894, 519, 524, 269, 476, 3374, 5479, 19726, 540, 2910, 273, 602, 3425, 7630, 883, 519, 5790, 1169, 1032, 269, 634, 2243, 8268, 538, 713, 2911, 568, 2436, 1804, 4336, 22041, 267, 8476, 3114, 29056, 1223, 543, 1058, 1631, 581, 1031, 547, 4894, 17254, 26293, 928, 9424, 540, 2910, 273, 12422, 689, 519, 5790, 269, 901, 2243, 568, 5051, 1271, 1317, 621, 568, 1631, 18931, 602, 3742, 8851, 540, 11626, 2910, 273, 538, 512, 30802, 609, 27290, 20214, 538, 5434, 949, 581, 1898, 547, 3035, 2048, 6339, 25179, 685, 676, 476, 13078, 271, 267, 513, 2565, 10421, 547, 3970, 2518, 8337, 547, 1447, 982, 476, 273, 5232, 1298, 580, 8565, 269, 2290, 1935, 602, 568, 1419, 6069, 568, 547, 3262, 16760, 7725, 610, 6886, 593, 11934, 547, 3986, 2518, 3114, 29056, 3928, 543, 7551, 2721, 1524, 11626, 2910, 273, 269, 769, 6240, 713, 1935, 11129, 547, 960, 267, 1317, 4616, 540, 3327, 545, 3679, 538, 11934, 676, 519, 29056, 6547, 267, 4553, 676, 519, 8851, 540, 29056, 23402, 7513, 267, 13101, 543, 15702, 22833, 12365, 622, 676, 8933, 1058, 2333, 5836, 30175, 6541, 543, 9063, 267, 3850, 14680, 547, 10511, 10028, 543, 9376, 909, 3327, 585, 6634, 540, 1296, 269, 3213, 1532, 523, 9026, 1522, 1331, 606, 10970, 2747, 540, 5571, 5836, 3679, 2305, 543, 8476, 5567, 585, 7693, 2371, 269, 2201, 519, 824, 1688, 267, 972, 616, 3875, 1843, 687, 267, 8151, 689, 519, 5837, 9651, 602, 2520, 334, 19956, 1229, 3435, 1522, 24183, 12998, 5786, 3646, 267, 547, 3621, 4145, 538, 6935, 547, 2244, 946, 267, 3037, 1072, 543, 519, 3327, 11640, 540, 971, 2238, 269, 901, 2911, 786, 1445, 5631, 593, 519, 946, 540, 16760, 1666, 5306, 538, 8476, 29056, 267, 855, 519, 946, 540, 930, 4853, 22279, 3653, 12535, 609, 1761, 585, 3327, 8166, 8851, 693, 4336, 786, 849, 581, 5018, 269, 2983, 5505, 723, 513, 4105, 1909, 547, 1404, 1317, 741, 1983, 616, 2565, 547, 6218, 519, 8244, 543, 29839, 540, 11134, 7725, 543, 6886, 585, 1804, 4336, 22041, 8476, 3114, 29056, 14565, 267, 543, 741, 2620, 6066, 5380, 616, 2629, 547, 2708, 519, 1279, 3856, 5222, 593, 3047, 1949, 563, 29445, 22413, 1069, 2714, 1107, 4437, 7240, 12834, 454, 23178, 7671, 22413, 1069, 2714, 568, 4867, 10361, 540, 30578, 693, 454, 17206, 5441, 25212, 543, 814, 1044, 7898, 1005, 693, 519, 454, 24119, 3477, 2094, 476, 1960, 277, 269, 7671, 568, 513, 2520, 32554, 626, 609, 3376, 454, 15517, 338, 538, 25694, 543, 1970, 27529, 2520, 17190, 267, 7777, 454, 933, 1430, 532, 267, 24236, 20569, 543, 772, 1606, 7685, 6580, 2409, 2676, 25659, 2801, 665, 3916, 26331, 267, 11626, 3157, 543, 1648, 454, 5471, 11136, 1108, 269, 3571, 12854, 729, 593, 968, 294, 3757, 924, 8891, 4088, 8412, 543, 12933, 531, 454, 5271, 1828, 2090, 538, 519, 7754, 5025, 325, 878, 534, 12456, 4673, 12966, 267, 21601, 28992, 892, 799, 454, 515, 5833, 1106, 7046, 2160, 543, 13604, 2968, 513, 454, 516, 572, 2117, 615, 585, 873, 849, 269, 13405, 547, 1010, 10927, 1353, 267, 7671, 454, 1740, 539, 538, 519, 25115, 16709, 269, 7671, 568, 849, 4867, 606, 454, 19491, 539, 4759, 540, 519, 9576, 9721, 9142, 630, 28122, 288, 543, 10615, 454, 1993, 519, 2817, 10418, 585, 1772, 582, 2100, 2983, 17190, 630, 10998, 5456, 1916, 14630, 543, 5384, 281, 13723, 267, 476, 2537, 5988, 476, 1708, 273, 267, 1063, 476, 866, 281, 876, 10681, 543, 476, 736, 281, 876, 3842, 28652, 563, 2414, 19193, 281, 6494, 606, 552, 17733, 547, 18078, 17106, 11333, 3820, 454, 288, 28652, 3095, 786, 581, 2366, 593, 519, 1554, 547, 1346, 945, 723, 10805, 269, 0, 763, 5250, 540, 544, 8432, 321, 323, 657, 559, 6510, 538, 519, 544, 8432, 321, 11845, 5835, 1505, 568, 19286, 730, 676, 661, 10485, 5336, 306, 269, 12443, 1337, 24485, 545, 7408, 941, 29230, 7458, 547, 1395, 12002, 267, 543, 544, 8432, 321, 323, 657, 32281, 919, 609, 513, 918, 1122, 6265, 2497, 941, 4646, 269, 3962, 1900, 540, 519, 5250, 5114, 540, 544, 8432, 321, 323, 657, 559, 6510, 689, 544, 8432, 321, 323, 545, 543, 24485, 545, 7408, 1063, 9063, 476, 272, 543, 476, 273, 729, 5587, 1881, 676, 661, 10485, 5336, 306, 693, 519, 7636, 1377, 269, 769, 513, 3070, 2630, 9063, 476, 271, 269, 276, 267, 519, 22169, 540, 519, 544, 8432, 321, 323, 545, 7408, 941, 10920, 12723, 1317, 540, 519, 1164, 5834, 540, 16247, 545, 3679, 269, 21418, 16247, 545, 3679, 15286, 519, 5250, 540, 544, 8432, 321, 323, 657, 559, 6510, 269, 4935, 267, 9039, 540, 519, 24485, 545, 7408, 2746, 539, 547, 1106, 544, 8432, 321, 323, 657, 559, 6510, 693, 713, 9063, 267, 5103, 519, 4527, 540, 24485, 545, 3679, 543, 23253, 12274, 538, 519, 3070, 269, 26361, 9063, 476, 273, 267, 519, 28198, 540, 544, 8432, 321, 323, 545, 7408, 7018, 547, 1106, 14668, 2173, 8432, 321, 323, 657, 559, 6510, 269, 661, 10485, 5336, 306, 2488, 1344, 593, 519, 5250, 540, 544, 8432, 321, 323, 657, 559, 6510, 543, 519, 1367, 5114, 2249, 1459, 538, 519, 5114, 7848, 563, 3008, 297, 290, 2480, 22455, 1641, 2127, 0, 8368, 540, 12937, 454, 8702, 547, 476, 15886, 280, 269, 272, 10101, 547, 20990, 269, 769, 713, 2022, 649, 616, 2469, 547, 2491, 596, 519, 476, 15886, 280, 269, 272, 575, 547, 2148, 7503, 269, 4635, 519, 1770, 3090, 575, 267, 519, 2527, 540, 476, 15886, 280, 269, 272, 10101, 568, 20922, 607, 476, 15886, 280, 269, 272, 575, 267, 543, 585, 519, 4611, 4320, 538, 20990, 649, 2308, 519, 1770, 3090, 700, 269, 4935, 267, 476, 15886, 280, 269, 272, 575, 547, 700, 568, 513, 2527, 547, 4320, 7503, 1107, 6219, 10391, 267, 1851, 824, 1919, 269, 3367, 593, 547, 1451, 3388, 827, 476, 15886, 280, 269, 272, 326, 538, 700, 267, 543, 1118, 2386, 547, 2638, 856, 938, 4780, 1562, 563, 15886, 280, 269, 272, 717, 547, 22175, 619, 454, 2026, 6045, 538, 1469, 593, 938, 1753, 2985, 267, 621, 568, 519, 5860, 667, 799, 6402, 519, 2527, 540, 476, 15886, 280, 269, 272, 10101, 609, 519, 4320, 538, 20990, 269, 634, 5860, 5673, 593, 519, 6219, 267, 2837, 543, 2604, 563, 19350, 596, 666, 1265, 519, 4542, 585, 476, 15886, 280, 269, 272, 326, 538, 700, 282, 952, 596, 1810, 1406, 917, 519, 5860, 540, 707, 12146, 610, 1570, 1118, 946, 540, 938, 2034, 20303, 513, 1906, 3515, 1524, 563, 3519, 3200, 476, 15886, 280, 269, 272, 717, 2449, 547, 22175, 619, 454, 2414, 6460, 476, 15886, 280, 269, 272, 10101, 547, 700, 649, 946, 519, 4542, 1496, 299, 316, 815, 1496, 15886, 280, 269, 272, 316, 1315, 630, 291, 1535, 476, 1911, 271, 1040, 769, 2013, 540, 1216, 693, 4262, 1377, 543, 476, 4375, 269, 273, 11019, 293, 267, 667, 815, 476, 272, 267, 865, 700, 815, 575, 1315, 476, 1911, 271, 269, 7201, 891, 6381, 267, 476, 15886, 280, 269, 272, 10101, 540, 1216, 3160, 476, 280, 269, 15886, 272, 20990, 563, 763, 1657, 19406, 585, 476, 15886, 280, 269, 272, 575, 547, 20990, 1058, 798, 585, 5986, 543, 2147, 5301, 267, 855, 1018, 827, 1114, 2175, 543, 6878, 899, 7573, 543, 5144, 888, 2252, 596, 917, 707, 1880, 5860, 267, 1287, 5372, 667, 609, 519, 1808, 1871, 538, 938, 4542, 267, 610, 4283, 519, 1871, 538, 519, 1101, 20303, 779, 5860, 2361, 563, 2252, 596, 1810, 1406, 917, 707, 1880, 5860, 547, 1689, 476, 15886, 280, 269, 272, 326, 547, 20990, 267, 1287, 596, 1522, 979, 609, 519, 3328, 2418, 1210, 938, 2034, 20303, 267, 799, 814, 519, 5860, 585, 1082, 6878, 563, 21446, 8271, 267, 596, 949, 6445, 538, 938, 3406, 1106, 538, 519, 20927, 10624, 547, 12398, 519, 476, 15886, 280, 269, 272, 10101, 547, 20990, 7503, 585, 513, 1880, 12146, 563, 15886, 280, 269, 272, 717, 547, 22175, 619, 20593, 614, 630, 291, 3748, 994, 3519, 951, 687, 1331, 267, 585, 1383, 912, 15886, 280, 269, 272, 717, 547, 22175, 619, 20593, 614, 630, 27802, 766, 994, 288, 3650, 568, 519, 5758, 540, 476, 15886, 280, 269, 272, 575, 700, 563, 15886, 280, 269, 272, 717, 2449, 547, 6183, 23586, 454, 2791, 723, 6603, 519, 25759, 851, 827, 875, 547, 6460, 476, 15886, 280, 269, 272, 10101, 547, 20990, 563, 20091, 713, 2022, 5402, 267, 596, 723, 4121, 547, 2626, 891, 4749, 4280, 2055, 538, 519, 2796, 540, 476, 15886, 280, 269, 272, 575, 538, 700, 912, 268, 1215, 1082, 20990, 538, 476, 15886, 280, 269, 272, 575, 888, 268, 476, 15886, 280, 269, 272, 575, 568, 3160, 547, 875, 1082, 20990, 888, 268, 1215, 1082, 20990, 538, 476, 15886, 280, 269, 272, 10101, 888, 1607, 3239, 12109, 1186, 476, 15886, 280, 269, 272, 326, 547, 20990, 909, 912, 2252, 4376, 827, 476, 15886, 280, 269, 272, 575, 538, 20990, 3788, 15458, 267, 610, 952, 596, 1616, 547, 2285, 5955, 267, 1287, 6445, 538, 938, 11280, 1106, 2630, 267, 610, 6494, 721, 606, 4757, 609, 519, 1641, 6460, 476, 15886, 280, 269, 272, 575, 547, 2148, 563, 13014, 2386, 547, 1747, 513, 1433, 5658, 267, 543, 2046, 519, 2671, 16181, 547, 1577, 519, 1158, 917, 827 ]

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