Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
sequencelengths
1
2.05k
attention_mask
sequencelengths
1
2.05k
[ 10279, 949, 581, 13684, 593, 971, 7383, 566, 267, 711, 23630, 4557, 9489, 585, 1142, 12287, 3034, 763, 9139, 729, 32738, 538, 476, 9965, 279, 267, 4758, 32013, 2276, 2394, 476, 5197, 279, 630, 736, 1296, 264, 1354, 6837, 666, 7333, 519, 1104, 566, 540, 10437, 563, 293, 1042, 15104, 30463, 6045, 267, 602, 968, 527, 568, 4550, 1606, 18561, 267, 1317, 621, 6743, 547, 519, 20552, 540, 8474, 2864, 982, 547, 922, 10419, 8462, 269, 19549, 569, 267, 621, 4951, 602, 519, 15752, 540, 519, 3265, 619, 540, 519, 9139, 941, 1434, 267, 711, 3983, 269, 594, 1589, 713, 568, 3833, 2614, 585, 713, 1448, 3034, 2005, 779, 1271, 547, 4063, 602, 593, 3967, 269, 476, 272, 267, 476, 5197, 279, 267, 519, 1360, 1101, 1554, 593, 799, 621, 729, 11156, 958, 7989, 24777, 267, 519, 10553, 4123, 729, 27618, 676, 1876, 563, 293, 308, 22835, 20937, 590, 6369, 12717, 595, 6369, 27516, 454, 20684, 10001, 267, 8791, 476, 273, 267, 1849, 1021, 476, 274, 540, 519, 2136, 2276, 9139, 3081, 267, 968, 5591, 12287, 4371, 547, 6796, 610, 23267, 538, 835, 3557, 267, 896, 519, 16572, 23476, 267, 29400, 883, 1776, 267, 4927, 267, 538, 1230, 30084, 540, 1022, 4521, 610, 19938, 972, 514, 267, 581, 26809, 689, 971, 6796, 610, 23267, 267, 855, 4927, 581, 9447, 909, 593, 28787, 540, 519, 9549, 547, 7247, 971, 6796, 610, 23267, 949, 581, 1813, 3034, 293, 1042, 15104, 30463, 6045, 267, 968, 1103, 519, 1101, 8908, 540, 519, 535, 1872, 1438, 10553, 16083, 941, 971, 607, 4294, 547, 519, 2783, 540, 10437, 267, 543, 2769, 569, 10294, 602, 7606, 4371, 547, 968, 338, 969, 3363, 892, 1058, 581, 2016, 909, 282, 855, 602, 519, 2262, 968, 338, 969, 3363, 892, 729, 13351, 689, 519, 11865, 267, 585, 519, 1360, 2601, 602, 621, 4294, 547, 10437, 3034, 3891, 4797, 267, 968, 3719, 621, 949, 581, 4280, 2443, 952, 713, 16083, 1281, 711, 4019, 547, 10437, 267, 547, 7247, 1281, 621, 4019, 286, 594, 2626, 267, 602, 950, 7550, 267, 621, 10039, 547, 513, 1360, 1804, 1362, 540, 7606, 2443, 12077, 267, 25863, 619, 2443, 7606, 945, 1185, 2097, 547, 3013, 689, 26652, 267, 689, 8581, 267, 543, 824, 20453, 540, 519, 8608, 2443, 899, 519, 15346, 625, 547, 519, 4639, 28851, 2443, 543, 1185, 267, 585, 513, 7156, 5918, 569, 6976, 267, 1831, 3808, 547, 968, 338, 2925, 543, 11668, 892, 585, 519, 6105, 1079, 7247, 741, 3028, 543, 11668, 729, 1813, 269, 898, 10039, 547, 25034, 3293, 29095, 543, 1866, 945, 723, 1831, 3808, 585, 513, 7156, 267, 896, 4579, 5918, 569, 1500, 267, 547, 4196, 543, 11668, 267, 547, 971, 7606, 713, 11865, 10039, 267, 543, 1152, 547, 971, 7606, 269, 634, 10750, 2542, 540, 713, 11865, 2982, 602, 621, 10039, 267, 543, 602, 621, 666, 1152, 5265, 543, 16155, 4019, 267, 547, 7606, 968, 20129, 547, 3028, 1848, 4706, 1843, 10750, 569, 568, 267, 547, 5150, 519, 20106, 540, 11731, 585, 968, 338, 16291, 543, 11668, 1848, 898, 10039, 547, 25034, 3293, 29095, 267, 543, 1022, 824, 7606, 689, 7247, 3028, 543, 11668, 949, 581, 1813, 269, 634, 3656, 2783, 540, 519, 10553, 12662, 1864, 3564, 519, 5106, 540, 713, 11865, 269, 1261, 568, 711, 4330, 538, 621, 3034, 15578, 5442, 306, 7838, 3918, 290, 3582, 595, 6369, 27516, 454, 20684, 476, 272, 267, 8791, 476, 279, 267, 1849, 1021, 476, 1428, 540, 519, 2136, 2276, 9139, 3081, 267, 968, 2414, 1683, 585, 10912, 8521, 519, 631, 4106, 807, 547, 14892, 519, 16572, 540, 519, 5742, 267, 16401, 6184, 584, 516, 2388, 543, 1065, 601, 769, 11663, 687, 3034, 2026, 19291, 30463, 1767, 267, 968, 296, 979, 547, 519, 968, 16435, 1511, 1202, 18675, 892, 16083, 267, 1498, 267, 538, 5168, 267, 972, 568, 1100, 971, 16083, 269, 634, 835, 799, 568, 1572, 865, 814, 4986, 8726, 547, 798, 609, 10437, 610, 10553, 6868, 1022, 811, 982, 707, 4031, 585, 21109, 540, 2442, 17061, 814, 547, 798, 609, 1818, 10437, 540, 596, 543, 707, 1453, 269, 898, 568, 1152, 513, 1876, 585, 21109, 540, 27632, 1824, 610, 31837, 516, 2388, 3034, 3201, 19616, 4306, 670, 3201, 293, 5508, 667, 4932, 8016, 305, 2969, 306, 744, 13048, 5308, 292, 5990, 12164, 306, 2316, 307, 28513, 454, 6097, 547, 513, 9839, 1633, 543, 681, 11047, 1380, 523, 18614, 5619, 267, 476, 5392, 260, 540, 24273, 1589, 519, 9139, 1058, 581, 6140, 610, 4625, 17370, 9287, 267, 3379, 547, 476, 1704, 260, 540, 25743, 543, 476, 2764, 260, 540, 1473, 2570, 757, 945, 5433, 519, 1482, 1259, 269, 25743, 1185, 513, 476, 11152, 260, 15028, 2070, 540, 519, 9139, 267, 3379, 547, 476, 10619, 260, 540, 24273, 563, 763, 5619, 849, 1336, 602, 513, 5354, 540, 24273, 9763, 519, 9139, 607, 22457, 543, 3023, 626, 269, 968, 763, 9839, 1633, 4659, 543, 681, 11047, 1380, 523, 18614, 540, 476, 272, 267, 28276, 2693, 17037, 1336, 602, 476, 6872, 260, 540, 24273, 543, 476, 4792, 260, 540, 5391, 5644, 3494, 519, 9139, 568, 12082, 538, 10168, 267, 543, 476, 5038, 260, 540, 24273, 543, 476, 7597, 260, 540, 5391, 5644, 2161, 519, 9139, 568, 513, 3023, 626, 3561, 602, 3947, 2367, 5383, 936, 2021, 3034, 291, 537, 6921, 817, 267, 674, 269, 630, 6977, 273, 267, 5147, 476, 276, 1040, 968, 1432, 547, 519, 10553, 568, 519, 8772, 540, 5147, 286, 6100, 9752, 1977, 3778, 269, 8158, 5239, 476, 2537, 267, 476, 1708, 273, 267, 689, 4179, 2517, 974, 2286, 26410, 20931, 3820, 7933, 17805, 270, 6343, 3562, 7308, 1606, 331, 1511, 28104, 7308, 21144, 628, 6361, 268, 9857, 569, 13045, 31690, 11181, 2073, 589, 269, 630, 6977, 278, 267, 4873, 476, 2918, 1040, 16594, 593, 519, 546, 1042, 1085, 2714, 3375, 269, 9752, 1977, 3778, 269, 8158, 5239, 476, 2537, 267, 476, 1708, 273, 267, 689, 4179, 2517, 974, 2286, 26410, 20931, 3820, 7933, 17805, 4882, 701, 3663, 6823, 7308, 1673, 1042, 1606, 22574, 11546, 17800, 13045, 306, 18561, 543, 519, 9139, 269, 9291, 540, 7126, 4659, 269, 630, 333, 6155, 12175, 8158, 5239, 476, 2537, 267, 476, 1708, 273, 267, 689, 4179, 2517, 321, 650, 1993, 23412, 13318, 3482, 3820, 270, 612, 904, 4882, 18561, 7146, 7308, 268, 6247, 3191, 454, 306, 663, 1030, 584, 267, 570, 269, 630, 1001, 280, 267, 4864, 476, 2641, 1040, 634, 5853, 619, 21518, 4469, 31090, 269, 634, 13780, 1772, 14087, 2739, 269, 634, 9139, 1772, 12846, 513, 2048, 294, 3271, 1190, 23068, 11657, 10200, 595, 6737, 4659, 1547, 8158, 5239, 476, 2537, 267, 476, 1708, 273, 267, 689, 4179, 2517, 4178, 6983, 6737, 3820, 270, 1260, 29232, 270, 11398, 619, 2914, 699, 1922, 18721, 539, 5991, 566, 21553, 704, 2739, 268, 6247, 3191, 3613, 650, 3766, 3271, 1190, 2000, 756, 1068, 344, 1673, 17805, 454, 24841, 267, 717, 269, 590, 269, 630, 1708, 272, 267, 5130, 476, 1321, 1040, 12984, 519, 9139, 513, 605, 1606, 18561, 3561, 286, 630, 335, 21242, 476, 1708, 272, 1040, 1715, 3840, 8648, 1547, 8158, 5239, 476, 2537, 267, 476, 1708, 273, 267, 689, 4179, 2517, 4178, 269, 2998, 4355, 2593, 270, 2086, 4882, 270, 4178, 269, 5500, 9392, 2593, 270, 1708, 272, 270, 4905, 270, 1321, 270, 9248, 22812, 1613, 10768, 1868, 27984, 1389, 7308, 2275, 549, 12097, 1790, 987, 3562, 268, 21966, 819, 269, 2086, 11258, 454, 18250, 290, 768, 871, 267, 808, 269, 630, 1001, 272, 267, 5147, 476, 277, 1040, 28315, 3044, 281, 5853, 532, 18971, 10353, 8474, 269, 715, 11266, 269, 8158, 5239, 476, 2537, 267, 476, 1708, 273, 267, 689, 4179, 2517, 4178, 8542, 1440, 3820, 270, 1001, 272, 270, 5881, 270, 6187, 270, 15389, 5038, 278, 278, 1428, 270, 15553, 569, 268, 20598, 1922, 15929, 1922, 1430, 338, 19945, 12723, 1606, 18561, 258, 281, 349, 281, 3667, 284, 763, 260, 736, 11398, 532, 260, 736, 15289, 338, 260, 273, 290, 260, 736, 338, 4660, 260, 736, 31690, 11181, 267, 5228, 260, 736, 1492, 260, 736, 341, 770, 260, 736, 22139, 8054, 260, 736, 24404, 761, 800, 563, 291, 537, 6921, 817, 267, 674, 269, 630, 1001, 273, 267, 4728, 476, 1428, 1040, 630, 5908, 271, 264, 19291, 30463, 267, 968, 763, 11156, 540, 519, 8087, 2829, 281, 1772, 621, 605, 1606, 18561, 610, 4550, 1606, 18561, 9495, 1547, 4563, 303, 770, 269, 8158, 5239, 476, 2537, 267, 476, 1708, 273, 267, 689, 4179, 2517, 4178, 269, 18872, 335, 770, 3820, 270, 29514, 268, 2378, 878, 534, 3620, 626, 800, 270, 5908, 271, 1922, 1042, 15104, 1673, 537, 6921, 817, 268, 6247, 3191, 10595, 1243, 32145, 32717, 3491, 1606, 18561, 11399, 268, 21468, 1606, 18561, 13045, 20112, 7773, 267, 681, 269, 589, 269, 630, 2735, 278, 267, 2904, 476, 272, 1040, 4208, 17051, 267, 2021, 267, 543, 9925, 338, 616, 711, 5018, 538, 519, 9139, 2560, 1107, 513, 324, 328, 269, 1977, 27617, 4659, 1547, 8158, 5239, 476, 2190, 267, 476, 1708, 273, 267, 689, 4179, 2517, 4178, 269, 2801, 328, 3820, 270, 14895, 11320, 1506, 15918, 2931, 2914, 1580, 7146, 18191, 31974, 268, 732, 27677, 268, 20197, 2987, 7308, 268, 6247, 3191, 13045, 305, 2393, 267, 667, 269, 630, 1220, 277, 267, 5239, 1040, 2048, 288, 32219, 15698, 3561, 9957, 17217, 1547, 8158, 5239, 476, 2537, 267, 476, 1708, 273, 267, 689, 4179, 2517, 4178, 269, 2998, 4355, 2593, 270, 2086, 4882, 22812, 1783, 2593, 270, 1220, 277, 270, 1015, 270, 4905, 21669, 3766, 3271, 1190, 2000, 756, 1068, 344, 1673, 17805, 268, 273, 270, 260, 274, 325, 2086, 454, 308, 2529, 269, 4972, 540, 519, 25181, 269, 630, 1001, 276, 267, 4989, 476, 1015, 1040, 12834, 540, 12493, 779, 7440, 693, 23101, 5742, 269, 2817, 20088, 6796, 269, 8158, 5239, 476, 2537, 267, 476, 1708, 273, 267, 689, 4179, 2517, 4178, 8542, 1186, 10993, 270, 2993, 14833, 270, 16753, 270, 20931, 322, 11857, 4882, 636, 4424, 21867, 0, 1607, 1623, 21620, 267, 20827, 676, 27950, 623, 8636, 12537, 267, 568, 513, 1267, 540, 1010, 3573, 1382, 883, 10120, 12383, 543, 1286, 19133, 18995, 1623, 874, 23888, 269, 2290, 15116, 640, 568, 602, 930, 540, 873, 616, 3254, 609, 519, 13691, 693, 519, 1283, 267, 6849, 519, 6345, 267, 711, 2059, 519, 2539, 6316, 267, 1141, 835, 1131, 2503, 606, 1418, 626, 5300, 610, 19224, 344, 3766, 6324, 344, 13691, 547, 581, 269, 1452, 26007, 849, 1397, 3160, 8700, 10569, 14178, 1318, 2066, 267, 610, 3592, 1318, 2066, 267, 519, 1283, 6316, 563, 2252, 1175, 835, 1623, 21620, 941, 13269, 538, 713, 1259, 267, 621, 1223, 581, 25323, 607, 606, 7376, 781, 5470, 267, 855, 10199, 3368, 540, 782, 26007, 540, 1623, 874, 23888, 1397, 713, 1283, 2173, 870, 539, 13691, 269, 1284, 9411, 883, 17890, 5717, 827, 2436, 713, 729, 2009, 267, 543, 952, 865, 267, 875, 971, 513, 3364, 1131, 960, 563, 8469, 8148, 12383, 543, 1286, 19133, 540, 1623, 874, 23888, 609, 1283, 2173, 870, 539, 1883, 15236, 269, 8437, 593, 519, 3239, 547, 23822, 563, 1103, 513, 19224, 344, 3766, 6324, 344, 267, 519, 10569, 616, 3274, 14328, 17446, 540, 3574, 602, 13472, 909, 543, 1524, 538, 9475, 267, 10296, 519, 8126, 757, 5196, 519, 5569, 547, 1118, 519, 4967, 267, 543, 9991, 1394, 676, 8904, 269, 634, 10569, 1205, 4130, 607, 835, 10841, 1742, 519, 4336, 267, 1317, 519, 1883, 8126, 757, 957, 607, 1954, 1206, 269, 898, 781, 513, 2241, 543, 942, 2389, 6479, 6240, 267, 855, 621, 729, 2312, 602, 519, 4835, 7271, 593, 713, 1623, 21620, 1131, 991, 547, 581, 513, 1434, 4308, 811, 1950, 563, 296, 324, 1203, 1302, 3357, 909, 609, 513, 13691, 2147, 547, 513, 804, 822, 747, 867, 267, 609, 524, 5896, 1883, 682, 951, 602, 1450, 513, 2834, 4737, 540, 10569, 540, 3160, 8700, 547, 3247, 513, 5569, 693, 519, 12150, 7158, 18796, 676, 513, 1019, 520, 4577, 5311, 540, 1954, 1206, 269, 594, 3773, 2132, 20950, 547, 519, 10569, 267, 1317, 1082, 540, 519, 12383, 1397, 519, 6293, 1373, 5129, 609, 519, 19984, 7299, 269, 32322, 4465, 1405, 798, 519, 2816, 538, 602, 10066, 563, 763, 703, 658, 267, 6654, 2856, 729, 585, 519, 10569, 547, 12740, 8126, 757, 19794, 5196, 519, 12673, 689, 2630, 267, 4010, 607, 513, 804, 822, 747, 867, 1281, 269, 901, 4769, 1405, 960, 269, 634, 17242, 22157, 547, 2569, 5569, 2604, 593, 519, 8868, 267, 4929, 4617, 3159, 543, 2695, 324, 2718, 269, 594, 5555, 11827, 8185, 1793, 25660 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12401, 7869, 286, 543, 1946, 568, 621, 282, 28695, 547, 13075, 3609, 9270, 286, 282, 258, 279, 11512, 875, 7269, 776, 16642, 3609, 5540, 519, 3223, 2106, 14198, 9061, 282, 16347, 269, 1411, 949, 1616, 547, 11571, 596, 12222, 282, 1729, 4431, 5919, 258, 280, 1692, 1281, 6397, 10637, 1764, 11834, 3790, 286, 282, 258, 1015, 27855, 519, 2596, 3069, 3823, 14559, 24637, 689, 513, 282, 11390, 2106, 14198, 5133, 5919, 289, 517, 639, 7726, 281, 20525, 3582, 3201, 630, 274, 2798, 1142, 5148, 289, 517, 639, 1948, 272, 281, 2422, 513, 3069, 689, 713, 1576, 547, 2491, 519, 282, 15124, 12870, 5919, 289, 517, 639, 1948, 273, 281, 2422, 513, 3069, 689, 713, 1576, 547, 2491, 519, 282, 1220, 279, 2883, 6433, 563, 26261, 258, 4649, 277, 3393, 1923, 18838, 538, 476, 1240, 11219, 592, 268, 1001, 276, 25820, 2433, 1269, 3066 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28171, 519, 25066, 3961, 281, 630, 20799, 1535, 8203, 273, 266, 272, 284, 630, 322, 846, 322, 1535, 8203, 273, 780, 3286, 16331, 728, 1923, 5441, 11819, 1923, 630, 25583, 476, 273, 264, 31692, 1639, 3447, 1807, 692, 16829, 593, 692, 2171, 723, 547, 6961, 602, 630, 20799, 1535, 8203, 273, 1341, 476, 272, 815, 630, 322, 846, 322, 1535, 8203, 273, 692, 4131, 781, 1376, 689, 519, 2451, 1688, 2427, 692, 6262, 582, 1535, 8203, 273, 1341, 476, 272, 692, 27784, 630, 6523, 1535, 8203, 273, 14370, 7562, 1535, 8203, 273, 1341, 476, 272, 692, 27784, 630, 6523, 1535, 8203, 273, 14370, 7562, 1535, 8203, 273, 1341, 630, 7562, 1535, 8203, 273, 14370, 7562, 1535, 8203, 273, 692, 27784, 27883, 6523, 1535, 8203, 273, 1341, 630, 7562, 1535, 8203, 273, 316, 14370, 7562, 1535, 8203, 273, 692, 27784, 476, 272, 14370, 7562, 1535, 8203, 273, 692, 27784, 630, 322, 846, 322, 1535, 8203, 273, 692, 6518, 568, 519, 1318, 1688, 2427, 692, 1607, 18327, 602, 281, 630, 20799, 1535, 8203, 273, 1341, 476, 272, 815, 630, 322, 846, 322, 1535, 8203, 273, 692, 326, 1640, 326, 10005, 3192, 277, 1923, 5441, 11819, 1923, 630, 25583, 476, 274, 264, 4406, 539, 1112, 20187, 692, 16829, 593, 692, 2171, 3513, 4383, 519, 1318, 2427, 267, 6616, 602, 519, 524, 846, 322, 656, 1599, 568, 2016, 676, 519, 5223, 1384, 319, 322, 846, 322, 1535, 815, 476, 272, 14370, 7562, 1535, 23375, 692, 2171, 3513, 6318, 547, 4009, 1312, 5011, 1384, 319, 322, 846, 322, 317, 273, 1535, 815, 476, 272, 14370, 7562, 317, 273, 1535, 23375, 692, 2171, 3513, 556, 2914, 1679, 519, 4082, 1384, 319, 20799, 317, 273, 1535, 1341, 476, 272, 815, 476, 272, 14370, 7562, 317, 273, 1535, 23375, 692, 2171, 3513, 9062, 1312, 5011, 676, 2387, 7562, 317, 273, 1535, 319, 23241, 319, 7562, 317, 273, 1535, 265, 20799, 317, 273, 1535, 1341, 5609, 317, 273, 1535, 815, 476, 272, 26384, 3719, 2387, 20799, 317, 273, 1535, 815, 630, 6523, 317, 273, 1535, 19422, 7562, 317, 273, 1535, 23375, 692, 763, 4082, 786, 1831, 1384, 319, 263, 7562, 317, 273, 1535, 265, 6523, 317, 273, 343, 19422, 7562, 317, 273, 1535, 264, 1341, 5609, 317, 273, 1535, 815, 476, 272, 26384, 2171, 3513, 14458, 676, 2387, 7562, 317, 273, 1535, 2387, 543, 649, 3513, 1205, 519, 25355, 3961, 1384, 319, 6523, 317, 273, 1535, 1341, 5609, 317, 273, 1535, 815, 476, 272, 26384, 1730, 1109, 7712, 519, 2016, 4082, 3366, 547, 519, 25355, 3961, 267, 602, 1797, 602, 519, 4082, 4564, 606, 3961, 267, 1932, 269, 0, 258, 22039, 12443, 12455, 692, 866, 270, 5881, 270, 1708, 271, 692, 288, 4908, 20372, 568, 513, 21370, 1106, 540, 6041, 540, 1239, 269, 898, 568, 1031, 547, 6813, 519, 3337, 540, 519, 1239, 543, 547, 6813, 3466, 269, 898, 568, 2356, 6537, 609, 519, 948, 540, 513, 27008, 855, 666, 581, 6537, 1510, 621, 607, 1134, 269, 589, 27008, 568, 513, 3126, 540, 1109, 5550, 9771, 1109, 321, 1513, 609, 1100, 2230, 1063, 873, 543, 568, 1031, 547, 2099, 1109, 325, 15968, 14778, 780, 2971, 17778, 547, 8571, 513, 22039, 12443, 12455, 692, 1892, 4460, 519, 1362, 11996, 585, 1142, 1362, 593, 519, 8880, 7852, 269, 1284, 786, 4729, 519, 4908, 593, 519, 7299, 7852, 563, 1892, 12433, 519, 1362, 5658, 585, 1142, 1362, 8884, 269, 634, 4542, 585, 1362, 1665, 568, 1384, 2971, 4147, 5658, 815, 630, 308, 3899, 3970, 1341, 13722, 3970, 264, 1315, 476, 273, 692, 1892, 4460, 782, 519, 1362, 7436, 593, 519, 8880, 7852, 269, 898, 568, 849, 1634, 607, 519, 4571, 17032, 540, 1169, 1362, 563, 1892, 4856, 22046, 532, 547, 1142, 1362, 1665, 267, 4729, 519, 4908, 607, 2016, 547, 596, 269, 634, 4463, 2141, 20186, 519, 4908, 269, 5269, 2386, 602, 519, 4908, 568, 28367, 1996, 519, 1362, 1665, 543, 711, 519, 5580, 610, 2539, 3970, 540, 1022, 1362, 563, 1892, 15012, 782, 519, 28367, 2798, 1210, 513, 1899, 10126, 269, 634, 7455, 5833, 786, 581, 737, 22075, 563, 1892, 901, 4611, 7455, 568, 1572, 519, 4908, 20372, 780, 9616, 602, 519, 1657, 1505, 568, 1031, 547, 2721, 513, 4908, 20372, 1510, 5373, 513, 1109, 7290, 6945, 269, 1411, 666, 849, 2721, 513, 27008, 1101, 676, 5373, 14328, 13063, 1996, 519, 2016, 1362, 11996, 269, 2991, 713, 267, 596, 1590, 6443, 519, 4571, 9557, 540, 519, 13063, 547, 3489, 519, 4908, 20372, 269, 5457, 602, 519, 13063, 786, 723, 1100, 5624, 1063, 873, 538, 513, 27008, 780, 9223, 476, 272, 281, 20472, 513, 4908, 20372, 1210, 519, 1239, 2016, 2630, 1384, 4530, 590, 13990, 22039, 476, 5392, 269, 276, 268, 6795, 269, 276, 476, 276, 476, 6795, 269, 276, 268, 7597, 269, 276, 476, 1015, 476, 7597, 269, 276, 268, 8064, 269, 276, 476, 1789, 476, 8064, 269, 276, 268, 8660, 269, 276, 476, 2412, 476, 8660, 269, 276, 268, 4200, 269, 276, 476, 1428, 692, 12585, 281, 1109, 2171, 1101, 991, 547, 5173, 519, 15921, 3634, 4908, 689, 519, 4908, 2016, 780, 4530, 590, 13990, 22039, 595, 636, 11494, 22039, 476, 5392, 269, 276, 268, 6795, 269, 276, 476, 276, 476, 276, 476, 6795, 269, 276, 268, 7597, 269, 276, 476, 1015, 476, 1428, 476, 7597, 269, 276, 268, 8064, 269, 276, 476, 1789, 476, 3393, 476, 8064, 269, 276, 268, 8660, 269, 276, 476, 2412, 476, 5952, 476, 8660, 269, 276, 268, 4200, 269, 276, 476, 1428, 476, 1911, 692, 2171, 1631, 1376, 676, 28321, 519, 1362, 7436, 971, 607, 476, 7918, 269, 276, 267, 476, 5038, 269, 276, 267, 476, 10619, 269, 276, 543, 865, 593, 11489, 476, 11463, 269, 276, 269, 8074, 602, 649, 786, 849, 4729, 519, 3105, 543, 1985, 1362, 7436, 547, 1376, 543, 1439, 519, 20372, 267, 1775, 4318, 269, 649, 4729, 476, 4510, 269, 276, 543, 476, 10441, 269, 276, 607, 1134, 780, 10190, 267, 519, 12451, 7222, 547, 519, 1362, 7436, 616, 28367, 1996, 1142, 1362, 1665, 269, 6145, 596, 666, 1294, 2630, 267, 713, 2306, 2631, 607, 519, 4908, 585, 1362, 7436, 476, 4510, 269, 276, 543, 476, 10441, 269, 276, 616, 4642, 543, 15700, 519, 1535, 14289, 269, 1452, 4729, 2798, 616, 1031, 1152, 547, 2285, 513, 6806, 3337, 547, 519, 20372, 269, 634, 1109, 335, 8432, 12455, 1109, 19972, 338, 899, 713, 281, 0, 1012, 20145, 281, 7216, 3690, 25728, 550, 1023, 476, 279, 628, 9990, 692, 259, 320, 3709, 333, 18098, 2765, 346, 274, 266, 276, 333, 3867, 273, 12453, 333, 266, 333, 3867, 273, 22288, 4399, 3916, 315, 3916, 1080, 3709, 333, 1422, 1729, 1422, 13727, 4151, 4399, 2765, 346, 274, 266, 276, 333, 3867, 273, 12453, 333, 266, 333, 3867, 273, 22288, 815, 4399, 3916, 315, 3916, 1080, 3709, 333, 1422, 1729, 1422, 13727, 4151, 4399, 2765, 3189, 2765, 346, 274, 2410, 333, 3867, 273, 3686, 266, 276, 7346, 2765, 346, 272, 2410, 333, 15396, 272, 4151, 815, 4399, 2765, 346, 271, 266, 276, 2410, 271, 266, 272, 4151, 815, 476, 276, 0, 258, 29626, 519, 717, 2562, 296, 3213, 324, 2310, 692, 7197, 540, 721, 723, 4862, 540, 519, 717, 2562, 296, 11664, 1107, 621, 568, 4122, 3351, 2213, 538, 7893, 519, 1377, 540, 4747, 8635, 538, 513, 2197, 267, 543, 9832, 689, 476, 271, 1107, 476, 272, 630, 528, 476, 271, 1107, 476, 1911, 260, 4470, 593, 875, 621, 568, 1031, 6393, 3719, 1082, 1053, 941, 711, 6026, 875, 519, 717, 2562, 296, 11664, 568, 7229, 267, 799, 568, 513, 533, 640, 267, 1317, 711, 1152, 568, 519, 12191, 4051, 633, 267, 855, 849, 17715, 543, 3362, 11609, 543, 6956, 780, 2162, 28038, 519, 22784, 333, 345, 4354, 557, 692, 1103, 476, 5002, 276, 267, 1109, 16655, 22784, 333, 345, 1109, 16467, 539, 513, 21370, 6041, 540, 5763, 3892, 538, 513, 2551, 269, 2334, 6041, 3357, 547, 581, 1634, 607, 519, 1109, 299, 648, 333, 345, 4354, 557, 780, 1103, 713, 21370, 6041, 267, 519, 19469, 2671, 540, 2551, 4747, 568, 28367, 1996, 519, 2404, 19469, 2671, 540, 2551, 780, 1103, 606, 3160, 2486, 267, 1141, 519, 5763, 568, 7856, 8449, 10838, 519, 2551, 267, 519, 19469, 2671, 540, 2551, 4747, 1058, 2141, 3160, 519, 9757, 19469, 2671, 540, 4747, 780, 2690, 1383, 267, 476, 1015, 260, 540, 519, 2551, 1058, 4309, 476, 1015, 260, 540, 519, 2551, 4747, 269, 476, 2004, 260, 540, 519, 2551, 1058, 4309, 476, 2004, 260, 540, 519, 2551, 4747, 267, 543, 865, 8521, 780, 1103, 513, 9985, 3160, 2486, 4061, 267, 519, 19469, 2671, 540, 2551, 4747, 568, 2047, 8167, 622, 547, 19469, 2671, 540, 2551, 267, 543, 4679, 676, 519, 1482, 2179, 269, 8641, 1227, 267, 713, 568, 6719, 676, 513, 476, 3393, 4110, 16057, 1793, 14563, 1899, 780, 1103, 606, 21376, 2486, 2705, 267, 519, 25013, 10126, 540, 519, 2551, 11392, 25409, 1447, 4747, 267, 543, 13030, 17930, 585, 519, 21950, 10126, 780, 2690, 1383, 267, 519, 30529, 476, 2004, 260, 540, 519, 2551, 1223, 581, 8391, 1152, 476, 1015, 260, 540, 519, 2551, 4747, 267, 6466, 519, 29659, 476, 1015, 260, 540, 519, 2551, 1223, 581, 8391, 476, 2004, 260, 540, 519, 2551, 4747, 780, 2026, 2938, 689, 519, 3113, 267, 713, 568, 3113, 1227, 6719, 676, 513, 23756, 7455, 630, 514, 713, 2013, 267, 606, 16057, 1793, 14563, 7455, 602, 4679, 693, 606, 2810, 2557, 269, 901, 7455, 568, 519, 1109, 299, 648, 333, 345, 4354, 557, 780, 19868, 545, 9598, 919, 602, 519, 22784, 333, 345, 7455, 1590, 27721, 609, 519, 4998, 1899, 630, 21323, 676, 519, 476, 3393, 4110, 16057, 1793, 14563, 1899, 264, 693, 476, 273, 2798, 1384, 1892, 2311, 519, 5169, 267, 2094, 476, 271, 260, 540, 519, 2551, 1590, 581, 8391, 476, 271, 260, 540, 519, 2551, 4747, 563, 1892, 2311, 519, 1448, 1141, 19469, 2671, 540, 4747, 815, 476, 1911, 9077, 2094, 782, 540, 519, 2551, 1590, 581, 15980, 519, 2551, 4747, 267, 1100, 811, 610, 1447, 780, 2162, 29626, 519, 717, 2562, 296, 3213, 324, 2310, 780, 2005, 666, 581, 2938, 3113, 1227, 602, 519, 6251, 519, 22784, 333, 345, 7455, 568, 547, 519, 4998, 1899, 267, 519, 811, 3160, 519, 2486, 568, 269, 769, 824, 1913, 267, 519, 4130, 519, 11539, 689, 519, 4998, 1899, 267, 519, 811, 3160, 519, 2486, 568, 780, 763, 1109, 294, 2562, 296, 11664, 1109, 1889, 9778, 519, 4222, 540, 602, 11539, 267, 543, 568, 18287, 18050, 607, 281, 1109, 288, 1315, 630, 288, 1341, 645, 2020, 1892, 769, 513, 9985, 3160, 2486, 267, 519, 717, 2562, 296, 11664, 568, 968, 271, 892, 1317, 519, 1858, 589, 568, 968, 271, 9731, 1892, 769, 513, 9985, 21376, 2486, 267, 519, 717, 2562, 296, 11664, 568, 968, 272, 892, 1317, 519, 1858, 645, 568, 968, 271, 892, 780, 3383, 4061, 519, 717, 2562, 296, 11664, 2141, 9832, 1063, 968, 271, 892, 543, 968, 272, 5608, 609, 968, 271, 892, 1373, 519, 1034, 3160, 267, 543, 968, 272, 892, 10834, 3501, 8635, 780, 3383, 519, 1985, 942, 596, 1224, 8635, 7194, 543, 7237, 519, 717, 2562, 296, 3213, 324, 2310, 267, 596, 1058, 917, 1732, 1018, 519, 2338, 2965, 1611, 2439, 296, 4126, 602, 596, 723, 10150, 2542, 713, 2376, 540, 9553, 269, 594, 993, 4758, 1250, 942, 547, 4687, 1250, 1702, 543, 1169, 3787, 540, 1489, 1797, 513, 2603, 547, 803, 256, 1684, 6749, 803, 513, 6085, 610, 2671, 713, 2376, 593, 1514, 2923, 609, 707, 2828, 780, 2414, 1265, 856, 811, 827, 1250, 2533, 607, 513, 808, 290, 13188, 20131, 267, 3643, 1250, 3896, 1109, 1877, 780, 4462, 322, 1538, 528, 1242, 0, 1626, 4989, 267, 476, 6187, 281, 4391, 692, 258, 589, 3732, 540, 3154, 814, 513, 4320, 540, 476, 272, 269, 280, 299, 543, 513, 2837, 540, 476, 2641, 5232, 524, 16364, 269, 14333, 568, 4294, 547, 519, 3732, 267, 3056, 547, 606, 2333, 538, 2837, 547, 476, 2767, 5232, 524, 16364, 269, 634, 3732, 568, 4371, 693, 3586, 2604, 269, 16534, 585, 519, 3803, 4320, 780, 266, 272, 454, 272, 269, 476, 1626, 4989, 267, 476, 5400, 281, 1626, 454, 271, 454, 272, 269, 11463, 700, 692, 15008, 1384, 2641, 9180, 815, 476, 2641, 1341, 476, 24129, 815, 476, 29848, 918, 692, 2767, 9180, 815, 476, 2767, 1341, 476, 24129, 815, 476, 4968, 918, 692, 307, 272, 270, 309, 272, 815, 570, 273, 270, 309, 273, 692, 29848, 918, 270, 272, 269, 280, 700, 815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13923, 1109, 284, 476, 271, 269, 30203, 6858, 692, 309, 815, 1627, 12458, 815, 476, 271, 269, 4962, 270, 271, 269, 30203, 6858, 815, 476, 273, 269, 279, 3066, 277, 544, 270, 5913, 692, 298, 815, 554, 263, 273, 326, 8358, 309, 273, 1109, 284, 630, 271, 269, 276, 9943, 476, 273, 9943, 476, 280, 269, 10037, 19422, 273, 269, 279, 3066, 277, 264, 273, 1109, 284, 476, 272, 269, 18597, 273, 692, 3086, 692, 298, 815, 1109, 2330, 20719, 272, 315, 1478, 595, 6831, 348, 910, 272, 8203, 273, 9681, 2330, 20719, 272, 315, 1478, 595, 6831, 348, 910, 272, 8203, 273, 2330, 1109, 284, 918, 692, 2330, 20719, 272, 315, 1478, 595, 6831, 348, 910, 272, 8203, 273, 2330, 1109, 284, 1109, 272, 269, 18597, 273, 692, 2330, 20719, 272, 315, 1478, 595, 6831, 348, 910, 272, 14638, 1109, 284, 476, 272, 269, 11793, 6434, 692, 6717, 1109, 284, 476, 271, 269, 5325, 275, 692, 8310, 8242, 593, 3967, 476, 3066, 267, 476, 1708, 275, 692, 15010, 808, 298, 28903, 589, 292, 5589, 8816, 618, 3038, 29850, 19139, 5903, 814, 1044, 5950, 780, 15010, 15443, 573, 919, 666, 2638, 741, 4408, 543, 7436, 5833, 538, 519, 2854, 6514, 780, 15010, 634, 5697, 10457, 786, 581, 1572, 585, 3561, 19027, 780, 15010, 2423, 17067, 267, 519, 1109, 297, 298, 28903, 589, 292, 15937, 1109, 12585, 1883, 1109, 13195, 5950, 256, 634, 808, 2459, 340, 1299, 22758, 5398, 6796, 8189, 5950, 1109, 1492, 31015, 585, 1109, 297, 298, 28903, 589, 292, 1109, 18154, 2753, 264, 5589, 8816, 618, 476, 1708, 275, 1109, 1721, 513, 2698, 540, 476, 3607, 7477, 17473, 896, 519, 808, 531, 1744, 752, 16210, 4972, 780, 15010, 634, 5542, 1184, 13408, 1614, 5933, 12077, 18838, 1449, 267, 19877, 267, 543, 11657, 7638, 2305, 780, 15010, 2060, 513, 808, 298, 28903, 589, 292, 6428, 776, 2039, 1063, 12652, 269, 476, 2004, 267, 10384, 547, 12652, 269, 476, 272, 267, 2568, 267, 7785, 267, 621, 568, 513, 1390, 4960, 585, 8321, 1218, 945, 1616, 513, 2229, 2816, 538, 808, 261, 298, 269, 634, 10457, 945, 616, 8600, 585, 519, 981, 666, 2638, 519, 808, 298, 28903, 589, 292, 19881, 5729, 14430, 585, 519, 2500, 7041, 269, 0, 8379, 294, 318, 1001, 280, 1015, 6349, 318, 13199, 27628, 1029, 4905, 27970, 910, 1452, 616, 519, 2055, 4280, 676, 4515, 28137, 538, 519, 12096, 476, 1001, 476, 272, 19496, 585, 4569, 476, 13136, 11929, 476, 272, 3689, 1900, 585, 713, 2689, 692, 258, 22558, 294, 318, 1001, 280, 1015, 6349, 318, 13199, 27628, 1029, 4905, 27970, 910, 1452, 616, 519, 2055, 4280, 13718, 1892, 476, 272, 692, 1607, 12744, 2982, 2985, 476, 272, 856, 540, 476, 272, 2985, 780, 2971, 1411, 4312, 6603, 519, 1439, 540, 707, 1863, 12744, 780, 23763, 547, 1224, 519, 2898, 2985, 2496, 4462, 8971, 1540, 1257, 12744, 281, 1452, 616, 519, 2055, 4280, 676, 4515, 269, 28137, 538, 519, 12096, 476, 1001, 476, 272, 19496, 585, 4569, 476, 13136, 11929, 476, 272, 269, 3689, 1900, 585, 713, 2689, 8400, 281, 3367, 782, 540, 519, 2055, 267, 543, 1118, 930, 4967, 827, 875, 596, 9364, 979, 827, 16460, 873, 267, 1519, 3268, 543, 513, 1592, 540, 1022, 12596, 596, 786, 991, 630, 32355, 676, 2012, 610, 2854, 856, 609, 4632, 269, 1411, 3513, 723, 827, 476, 1015, 3764, 585, 713, 851, 269, 1879, 596, 4312, 2854, 707, 4967, 585, 1169, 851, 540, 1169, 2243, 267, 1376, 2324, 593, 4267, 2394, 594, 1289, 942, 543, 1847, 596, 547, 519, 1985, 1900, 269, 476, 272, 269, 630, 736, 2798, 264, 2913, 535, 3287, 264, 815, 476, 13199, 274, 1341, 476, 275, 343, 273, 910, 476, 273, 343, 1341, 476, 278, 269, 630, 320, 264, 1548, 568, 519, 3328, 2557, 540, 1689, 540, 535, 593, 519, 8884, 476, 271, 547, 476, 273, 286, 630, 321, 264, 1548, 568, 535, 21948, 272, 21663, 630, 322, 264, 1548, 568, 535, 257, 8987, 272, 21663, 630, 323, 264, 1548, 568, 519, 630, 13318, 656, 10389, 264, 2557, 540, 1689, 540, 535, 693, 519, 1448, 594, 815, 476, 273, 286, 476, 1321, 476, 273, 269, 630, 736, 2798, 264, 630, 320, 264, 1280, 1018, 2418, 540, 678, 1281, 535, 16868, 264, 815, 476, 275, 1341, 476, 273, 343, 274, 910, 476, 1321, 343, 273, 1341, 678, 1341, 476, 274, 723, 513, 1448, 540, 1102, 3005, 286, 630, 321, 264, 5903, 782, 519, 11996, 593, 799, 535, 16868, 264, 815, 476, 22659, 910, 476, 24374, 910, 476, 13199, 1341, 476, 276, 568, 2810, 543, 1346, 1141, 621, 568, 13302, 286, 476, 274, 269, 630, 1428, 2798, 264, 630, 320, 264, 4855, 519, 3830, 540, 519, 1899, 17242, 700, 547, 519, 7455, 586, 815, 966, 273, 337, 1341, 476, 275, 693, 519, 1448, 678, 815, 476, 277, 269, 7981, 5528, 585, 713, 835, 281, 1306, 851, 540, 707, 834, 17084, 257, 1184, 267, 2328, 856, 519, 1101, 12045, 540, 586, 269, 476, 10619, 630, 321, 264, 4855, 519, 3830, 540, 519, 1899, 13902, 547, 700, 998, 519, 1482, 1448, 593, 519, 7455, 19601, 8698, 9509, 11657, 692, 1892, 12096, 1412, 1626, 692, 2162, 1548, 1053, 616, 6031, 692, 1892, 1306, 513, 1699, 2875, 593, 713, 536, 17056, 1908, 326, 5573, 13374, 267, 594, 16686, 2390, 6092, 15552, 267, 1141, 594, 666, 1265, 1353, 2200, 585, 5176, 782, 1250, 6030, 267, 1205, 2228, 948, 689, 21493, 476, 2190, 270, 278, 267, 543, 1256, 2671, 1250, 2025, 3785, 267, 4574, 267, 543, 11000, 4967, 609, 824, 1053, 780, 298, 597, 534, 13527, 2160, 16737, 3427, 540, 6355, 2048, 1704, 267, 6092, 15552, 2902, 692, 1892, 594, 3112, 1256, 4766, 875, 1454, 6092, 15552, 5280, 803, 713, 4832, 269, 898, 779, 5963, 1831, 1945, 594, 666, 2141, 7048, 593, 543, 948, 803, 269, 769, 519, 1439, 267, 594, 729, 711, 1152, 2111, 547, 7639, 4832, 5049, 267, 855, 594, 729, 2111, 547, 8853, 7064, 547, 6092, 15552, 780, 291, 3570, 2160, 540, 12425, 2048, 1704, 267, 6092, 15552, 2902, 692, 1892, 634, 2702, 547, 1569, 1022, 6280, 779, 2200, 998, 6092, 15552, 9863, 17170, 538, 1250, 2013, 269, 594, 729, 3297, 593, 570, 592, 2033, 17440, 543, 2965, 1031, 17459, 6369, 779, 2326, 547, 948, 803, 1847, 4464, 543, 1205, 3388, 1927, 593, 942, 780, 297, 650, 570, 592, 2033, 2160, 2048, 1626, 267, 6092, 15552, 2902, 692, 1805, 3089, 286, 1284, 723, 21493, 2228, 476, 2190, 270, 278, 945, 666, 948, 596, 1205, 13417, 3089, 563, 16485, 16869, 570, 12781, 1411, 666, 2307, 1411, 666, 2307, 1411, 666, 2307, 630, 15884, 1163, 790, 12467, 9172, 9955, 538, 607, 3728, 607, 476, 1428, 3764, 0, 258, 27387, 281, 20593, 7217, 543, 28836, 3126, 2496, 272, 269, 12361, 20593, 7217, 543, 28836, 3126, 2496, 8196, 519, 5223, 1449, 547, 3313, 2436, 1142, 3126, 568, 4780, 7217, 610, 28836, 780, 272, 269, 630, 275, 270, 274, 11924, 263, 275, 270, 280, 11924, 263, 275, 270, 2767, 11924, 263, 275, 270, 10037, 2020, 273, 269, 476, 273, 23444, 275, 270, 273, 317, 273, 11924, 263, 279, 270, 274, 317, 273, 11924, 263, 1626, 270, 275, 317, 273, 2020, 11039, 1250, 3390, 593, 713, 1966, 568, 4466, 519, 630, 2304, 264, 607, 1250, 1433, 7125, 621, 865, 602, 594, 666, 2965, 798, 519, 32311, 1449, 780, 1721, 1297, 835, 594, 917, 621, 476, 275, 14370, 333, 1945, 855, 594, 993, 11821, 1018, 1599, 1131, 2769, 519, 3126, 264, 594, 1498, 621, 729, 630, 333, 8203, 274, 855, 602, 530, 2632, 960, 780, 1721, 1297, 476, 273, 594, 917, 621, 568, 562, 14672, 317, 273, 855, 594, 993, 711, 2386, 875, 547, 2099, 519, 19362, 780, 273, 269, 4270, 267, 596, 654, 21135, 991, 547, 798, 1732, 982, 602, 780, 272, 269, 4399, 6234, 1422, 2765, 346, 275, 2410, 274, 3867, 272, 3686, 1341, 1422, 2765, 346, 275, 2410, 274, 3867, 273, 3686, 1341, 1422, 2765, 346, 275, 2410, 274, 3867, 274, 3686, 1341, 1422, 2765, 346, 275, 2410, 274, 3867, 275, 3686, 1341, 3267, 6911, 273, 269, 4399, 6234, 1422, 2765, 346, 273, 3867, 272, 12453, 272, 3867, 273, 3686, 1341, 1422, 2765, 346, 273, 3867, 273, 12453, 273, 3867, 273, 3686, 1341, 1422, 2765, 346, 273, 3867, 274, 12453, 274, 3867, 273, 3686, 1341, 1422, 2765, 346, 273, 3867, 275, 12453, 275, 3867, 273, 3686, 1341, 3267, 6911, 2791, 2328, 519, 32671, 2165, 269, 0, 763, 31643, 3041, 7690, 568, 6462, 676, 23190, 689, 3755, 540, 519, 31643, 3041, 543, 676, 513, 9886, 689, 519, 3244, 976, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 29344, 30130, 513, 263, 272, 264, 815, 476, 271, 267, 513, 263, 273, 264, 815, 476, 272, 267, 585, 562, 3436, 476, 273, 267, 952, 589, 5881, 280, 4649, 280, 3799, 264, 815, 476, 271, 267, 513, 3799, 264, 815, 476, 273, 265, 320, 10490, 16348, 4200, 273, 3799, 24270, 6382, 513, 3799, 264, 815, 476, 272, 1341, 476, 273, 265, 320, 10490, 16348, 4200, 273, 3799, 26895, 476, 1015, 454, 476, 271, 267, 476, 272, 267, 476, 274, 267, 476, 278, 267, 476, 273, 267, 476, 277, 267, 476, 1428, 267, 476, 276, 267, 476, 1691, 267, 476, 1724, 267, 476, 4029, 267, 476, 275, 267, 476, 1321, 267, 476, 1789, 267, 476, 1556, 267, 476, 3066, 267, 476, 1015, 267, 476, 2767, 267, 476, 8287, 267, 476, 2764, 267, 476, 2918, 267, 476, 280, 267, 476, 1839, 267, 476, 7830, 267, 476, 8618, 267, 476, 2537, 267, 476, 279, 267, 476, 2190, 267, 476, 2568, 267, 476, 2420, 267, 476, 6795, 267, 476, 2641, 267, 476, 6812, 267, 476, 4649, 267, 476, 14096, 267, 476, 736, 267, 476, 7918, 267, 476, 6872, 267, 476, 7871, 267, 476, 14695, 267, 476, 866, 267, 476, 7906, 267, 476, 6321, 267, 476, 7367, 267, 476, 1240, 267, 476, 10219, 267, 476, 11277, 267, 476, 2004, 267, 476, 5325, 267, 476, 1704, 267, 476, 14862, 267, 476, 14338, 267, 476, 5392, 267, 476, 13199, 267, 476, 5379, 267, 476, 3393, 267, 476, 15686, 267, 476, 1626, 267, 476, 4366, 267, 476, 6344, 267, 476, 4510, 267, 476, 14093, 267, 476, 6246, 267, 476, 14056, 267, 476, 5655, 267, 476, 9340, 267, 476, 14838, 267, 476, 14138, 267, 476, 8099, 267, 476, 6078, 267, 476, 11820, 267, 476, 22724, 267, 476, 12893, 267, 476, 13040, 267, 476, 2412, 267, 476, 10482, 267, 476, 14625, 267, 476, 26562, 267, 476, 4375, 267, 476, 11793, 267, 476, 9818, 630, 4289, 282, 3113, 282, 1201, 338, 282, 6432, 282, 1686, 282, 1257, 282, 4835, 3898, 994, 5508, 12396, 4953, 476, 272, 267, 274, 25265, 19006, 8074, 519, 4994, 532, 281, 519, 6389, 6238, 689, 476, 272, 267, 1247, 519, 2039, 2882, 849, 4642, 269, 700, 2562, 16775, 4165, 16210, 918, 691, 339, 684, 523, 267, 7305, 540, 562, 267, 513, 3799, 264, 585, 562, 815, 476, 272, 907, 279, 866, 273, 11123, 300, 308, 6369, 513, 263, 272, 264, 815, 476, 271, 267, 513, 263, 273, 264, 815, 476, 272, 267, 585, 562, 3436, 476, 273, 267, 952, 589, 5881, 280, 4649, 280, 3799, 264, 815, 476, 271, 1496, 15290, 562, 568, 513, 2165, 540, 589, 271, 4649, 280, 4343, 3910, 513, 3799, 264, 815, 476, 273, 265, 320, 10490, 16348, 4200, 273, 3799, 24270, 6382, 513, 3799, 264, 815, 476, 272, 1341, 476, 273, 265, 320, 10490, 16348, 4200, 273, 3799, 26895, 1306, 513, 5888, 540, 824, 32545, 281, 513, 3799, 264, 815, 589, 4962, 275, 275, 3066, 10490, 29344, 29340, 3799, 26895, 513, 3799, 264, 815, 589, 29344, 29340, 10490, 29344, 31003, 3799, 26895, 513, 3799, 264, 815, 589, 25838, 5881, 272, 10490, 29344, 24783, 3799, 26895, 4033, 9163, 269, 1280, 782, 562, 13843, 476, 272, 281, 589, 1822, 6344, 5416, 3799, 4297, 815, 589, 29344, 24833, 3799, 1040, 1280, 782, 562, 13843, 476, 273, 267, 589, 271, 3583, 280, 4375, 5416, 3799, 4297, 815, 589, 16348, 4200, 274, 3799, 1040, 11550, 294, 630, 9928, 22351, 264, 630, 3698, 710, 322, 630, 288, 29344, 30130, 562, 264, 630, 1718, 16733, 27045, 562, 476, 273, 264, 11196, 562, 476, 272, 4297, 16733, 14706, 286, 630, 288, 5881, 280, 4649, 280, 562, 4297, 30916, 476, 273, 630, 288, 29344, 30130, 630, 288, 16348, 4200, 273, 562, 4297, 4297, 630, 12828, 22791, 476, 272, 30916, 476, 273, 630, 288 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22783, 616, 5078, 585, 1870, 7270, 1141, 3972, 568, 1271, 269, 1358, 616, 1419, 1031, 676, 1507, 547, 5420, 13355, 16904, 563, 307, 6412, 25824, 1807, 281, 634, 4527, 540, 606, 744, 309, 25890, 6920, 602, 513, 11967, 3791, 5428, 814, 24019, 519, 3919, 781, 3961, 267, 5356, 811, 22059, 547, 3755, 982, 513, 667, 309, 25890, 563, 15761, 2105, 4406, 9179, 630, 14110, 264, 22912, 919, 454, 295, 580, 4554, 5426, 540, 4406, 9179, 281, 12601, 22912, 919, 4125, 606, 3573, 15418, 1184, 269, 634, 11404, 15824, 513, 11826, 6514, 540, 519, 3919, 5275, 519, 15149, 269, 901, 2882, 2357, 4328, 519, 3656, 267, 2168, 267, 543, 10512, 6228, 540, 519, 11769, 267, 607, 1134, 607, 519, 3961, 540, 519, 2043, 3238, 543, 519, 3919, 781, 1318, 547, 946, 519, 6389, 563, 5825, 720, 281, 12601, 22912, 919, 616, 3335, 1031, 676, 1804, 14078, 267, 552, 19645, 4609, 267, 543, 1022, 3919, 1141, 3593, 3972, 543, 1239, 3354, 616, 14063, 563, 24058, 11565, 25824, 2209, 281, 645, 4900, 619, 1419, 4159, 3308, 10291, 899, 513, 3039, 2232, 3046, 610, 519, 3919, 781, 2012, 538, 519, 2232, 3046, 585, 4609, 609, 12601, 22912, 919, 267, 5356, 519, 5207, 1377, 540, 3593, 3972, 563, 8138, 3256, 664, 15147, 720, 281, 8187, 15258, 22912, 919, 616, 1031, 547, 5150, 513, 3490, 6389, 543, 606, 19957, 1297, 540, 922, 1016, 3256, 1622, 269, 1280, 1383, 267, 513, 2582, 8187, 15258, 25890, 585, 2608, 269, 9987, 2593, 666, 5150, 8940, 269, 9987, 2593, 267, 13875, 269, 9987, 2593, 267, 6300, 269, 9987, 2593, 267, 543, 865, 593, 563, 21798, 7232, 8997, 281, 1358, 616, 513, 1942, 15807, 3070, 585, 3906, 5883, 2789, 1016, 3256, 1622, 896, 513, 2582, 6389, 267, 14874, 519, 991, 547, 3489, 513, 5094, 9399, 299, 15149, 585, 1142, 1016, 3256, 664, 563, 11749, 9179, 5426, 281, 8187, 15258, 22912, 919, 666, 581, 9783, 607, 2901, 667, 309, 610, 744, 309, 22783, 267, 4470, 593, 519, 1377, 540, 15418, 2838, 563, 21296, 23792, 8232, 281, 11638, 5937, 558, 664, 22912, 919, 267, 849, 1634, 607, 590, 3198, 630, 20428, 20010, 8745, 264, 22912, 919, 267, 1450, 17516, 2789, 3982, 6389, 4408, 609, 513, 2582, 15149, 269, 1358, 616, 8465, 543, 666, 5150, 1114, 6389, 4408, 543, 1016, 3256, 1622, 267, 799, 1810, 1405, 723, 547, 581, 1644, 563, 29613, 531, 1280, 281, 901, 1826, 540, 15149, 568, 4998, 585, 3906, 602, 7500, 2789, 7270, 610, 2533, 2066, 1114, 6389, 4408, 563, 306, 5632, 1464, 281, 11638, 5937, 558, 664, 22912, 919, 2709, 513, 27249, 3070, 267, 607, 3606, 11890, 666, 581, 3773, 547, 519, 15149, 607, 2877, 563, 10376, 1826, 540, 9399, 299, 20081, 11862, 15149, 5713, 513, 1808, 3483, 543, 3091, 513, 1114, 1377, 540, 3354, 543, 15418, 269, 634, 3903, 540, 15149, 5673, 593, 519, 2470, 540, 519, 3896, 267, 519, 1377, 540, 3972, 2838, 676, 922, 3755, 267, 543, 519, 10721, 2115, 563, 8005, 1772, 13786, 1043, 585, 519, 4406, 9179, 540, 9399, 299, 20081, 11862, 22912, 919, 888, 290, 1068, 881, 622, 8191, 885, 630, 290, 2026, 994, 290, 1068, 881, 622, 8191, 885, 630, 290, 2026, 264, 616, 11967, 9988, 538, 519, 7706, 540, 1357, 3354, 269, 4256, 3119, 1909, 568, 547, 3390, 543, 19472, 9399, 299, 20081, 11862, 22783, 269, 1358, 957, 607, 513, 3791, 18407, 2357, 8595, 267, 4180, 602, 519, 11769, 31392, 519, 15149, 568, 16048, 543, 22973, 269, 634, 15418, 1184, 5342, 676, 595, 2026, 568, 2629, 585, 519, 3354, 543, 3972, 10290, 1465, 540, 9399, 299, 20081, 11862, 22783, 563, 15650, 540, 9399, 299, 20081, 11862, 22912, 919, 543, 4256, 4406, 9179, 22948, 454, 763, 15418, 1184, 9775, 4470, 593, 519, 1826, 540, 9399, 299, 20081, 11862, 15149, 912, 291, 558, 664, 4406, 573, 730, 630, 291, 309, 264, 22912, 919, 912, 11749, 9179, 540, 23792, 13574, 11429, 281, 667, 309, 22912, 919, 2154, 519, 32358, 547, 6961, 9562, 610, 1852, 936, 519, 6389, 585, 799, 519, 15149, 568, 16761, 269, 901, 568, 519, 1034, 2596, 1377, 540, 15418, 563, 32325, 540, 4406, 9179, 281, 5871, 2409, 1331, 14775, 547, 606, 4757, 2366, 547, 519, 6389, 781, 11889, 3346, 267, 4946, 513, 22665, 2594, 267, 610, 14202, 532, 513, 1808, 3758, 547, 519, 3896, 269, 901, 1184, 568, 12747, 543, 666, 581, 6192, 3533, 563, 20376, 12053, 5426, 281, 2755, 667, 309, 22912, 919, 17278, 1239, 267, 789, 798, 711, 19472, 519, 3961, 540, 519, 3919, 3297, 519, 3896, 269, 1358, 616, 5078, 585, 7270, 1141, 3972, 543, 3961, 19027, 616, 1447, 540, 513, 6161, 563, 16391, 1436, 4406, 573, 730, 630, 10976, 264, 22912, 919, 912, 21206, 9257, 4406, 9179, 281, 744, 309, 22912, 919, 2154, 711, 1152, 6389, 15418, 855, 849, 15418, 540, 519, 3919, 610, 11769, 31392, 519, 15149, 269, 901, 2882, 2357, 4328, 519, 3656, 6228, 540, 519, 3919, 563, 19723, 2305, 6713, 281, 634, 11404, 11974, 1585, 4013, 6054, 899, 1870, 14261, 5638, 547, 6166, 519, 3919, 781, 13597, 269, 901, 1184, 568, 811, 11826, 982, 667, 309, 15418, 543, 3217, 3476, 547, 2347, 563, 307, 6412, 25824, 1807, 281, 744, 309, 22912, 919, 1683, 513, 2362, 1377, 540, 3972, 607, 789, 26924, 3755, 602, 513, 16048, 3919, 13333, 519, 3896, 563, 15761, 2105, 4406, 9179, 630, 14110, 264, 22912, 919, 912, 1320, 528, 965, 4406, 9179, 6713, 281, 12601, 22912, 919, 4125, 519, 1034, 22608, 15418, 1184, 269, 1358, 2154, 782, 519, 11974, 2877, 585, 744, 309, 22912, 919, 267, 7132, 3606, 19027, 3268, 563, 299, 20235, 11657, 566, 281, 634, 1184, 2882, 2357, 4328, 519, 3656, 267, 2168, 267, 543, 10512, 6228, 540, 519, 11769, 269, 898, 849, 3322, 30260, 519, 3961, 540, 519, 2043, 3238, 543, 519, 3919, 781, 1318, 547, 946, 519, 6389, 563, 295, 580, 4554, 5426, 540, 11565, 281, 12601, 22912, 919, 2709, 519, 5207, 1377, 540, 3593, 3972, 269, 645, 4900, 619, 949, 4159, 519, 3919, 781, 2012, 538, 519, 2232, 3046, 267, 3246, 7298, 22059, 540, 3354, 547, 3755, 563, 1432, 3657, 519, 27284, 14362, 19992, 9399, 299, 20081, 11862, 25890, 5303, 888, 4131, 781, 5490, 883, 519, 4909, 3741, 3297, 9399, 299, 20081, 11862, 15149, 2029, 267, 2519, 593, 12623, 13240, 25563, 543, 519, 5398, 6206, 24486, 630, 303, 298, 296, 264, 1062, 563, 288, 22131, 13240, 15303, 2762, 538, 9399, 299, 20081, 11862, 454, 288, 22131, 13240, 25563, 267, 849, 1634, 607, 1857, 268, 4486, 25563, 267, 568, 513, 22294, 540, 9399, 299, 20081, 11862, 2029, 269, 898, 3322, 1079, 2010, 540, 10569, 281, 513, 1857, 1883, 543, 513, 4357, 1883, 267, 799, 960, 1927, 547, 5150, 1239, 563, 14276, 543, 17721, 32368, 912, 14276, 6206, 281, 901, 1883, 568, 2139, 547, 4896, 543, 568, 1031, 547, 17278, 1239, 269, 1879, 513, 5048, 568, 24290, 609, 513, 1857, 1883, 267, 1152, 519, 7222, 4357, 1883, 666, 1232, 7973, 621, 563, 7468, 10675, 6206, 281, 901, 1883, 568, 6854, 5728, 676, 519, 8227, 543, 568, 1031, 547, 1232, 7973, 1239, 24290, 609, 519, 1857, 1883, 269, 898, 666, 849, 581, 1031, 547, 1129, 1239, 267, 4180, 519, 13597, 543, 8699, 540, 513, 5048, 563, 21886, 11736, 543, 5463, 11736, 912, 21886, 11736, 281, 1879, 513, 3593, 15920, 1344, 547, 513, 3896, 267, 519, 1239, 568, 24290, 609, 519, 3896, 781, 1857, 1883, 269, 901, 5849, 602, 519, 1239, 666, 1152, 581, 1232, 7973, 539, 676, 519, 3896, 781, 4357, 1883, 267, 17420, 519, 1344, 1282, 18302, 563, 13356, 11736, 281, 16270, 8391, 519, 24290, 1239, 267, 519, 3896, 3096, 922, 4357, 1883, 547, 1232, 7973, 519, 1344, 563, 10574, 6715, 31772, 543, 24956, 1709, 912, 288, 22131, 13240, 25563, 711, 1152, 5849, 22637, 855, 849, 2357, 5809, 519, 13597, 540, 519, 1239, 269, 7913, 22782, 267, 2813, 1210, 519, 4357, 1883, 267, 948, 538, 8076, 908, 519, 2707, 543, 4180, 602, 519, 1239, 814, 711, 1044, 512, 2086, 1229, 609, 1282, 18302, 563, 14276, 6206, 24486, 630, 303, 298, 296, 994, 303, 298, 296, 568, 513, 5943, 602, 7028, 519, 3892, 543, 8446, 540, 1857, 10569, 267, 7175, 5150, 5907, 4483, 540, 1344, 269, 634, 1883, 3334, 540, 623, 298, 296, 1331, 912, 290, 1068, 881, 622, 8191, 885, 630, 290, 2026, 2187, 290, 2026, 616, 11967, 9988, 602, 3390, 3059, 22783, 269, 1358, 13182, 519, 3961, 540, 519, 15149, 32358, 543, 1287, 3390, 513, 15149, 11006, 513, 1857, 1883, 547, 606, 11769, 630, 785, 1339, 267, 3919, 267, 3926, 267, 3092, 28593, 763, 11404, 781, 1909, 568, 2629, 538, 9591, 3972, 538, 519, 3059, 7706, 269, 1879, 513, 11404, 2152, 513, 15149, 267, 621, 568, 3927, 642, 537, 4221, 585, 519, 13597, 540, 519, 1857, 1883, 7923, 547, 602, 15149, 563, 288, 3059, 15149, 568, 606, 5907, 3561, 602, 3568, 519, 1857, 1883, 543, 14439, 519, 11769, 2404, 609, 621, 269, 898, 6411, 899, 513, 3059, 1780, 1636, 267, 3246, 6169, 540, 519, 3961, 540, 519, 15149, 23649, 563, 290, 1068, 881, 919, 1331, 1344, 971, 607, 519, 11769, 781, 2012, 267, 519, 15149, 781, 1163, 19418, 4266, 267, 519, 15149, 781, 17626, 1297, 267, 543, 519, 3059, 15040, 540, 519, 29307, 11404, 563, 290, 1068, 881, 622, 4860, 6327, 700, 1235, 630, 10135, 299, 338, 264, 543, 6732, 25890, 21073, 16257, 630, 302, 5425, 303, 2187, 10135, 299, 338, 616, 8638, 540, 22783, 602, 723, 1044, 2847, 12097, 1354, 741, 1163, 19418, 7389, 267, 1419, 1813, 547, 14207, 610, 2530, 540, 519, 4357, 1883, 267, 1689, 538, 30901, 267, 610, 29696, 540, 5106, 563, 302, 5425, 303, 568, 513, 7014, 1031, 547, 3489, 519, 2847, 6327, 4567, 540, 513, 3059, 15149, 267, 5356, 513, 811, 3608, 1259, 540, 10992, 2436, 513, 15149, 568, 1869, 4570, 563, 1103, 623, 298, 296, 267, 3972, 568, 3964, 998, 513, 5832, 540, 22783, 269, 901, 2882, 3597, 22783, 267, 13591, 22783, 267, 543, 1439, 268, 12528, 22783, 269, 634, 3972, 10290, 1465, 540, 513, 15149, 568, 5462, 676, 519, 3972, 10290, 1465, 540, 519, 11404, 602, 9783, 621, 563, 763, 9399, 299, 20081, 11862, 15149, 2029, 267, 20690, 2740, 676, 12623, 13240, 25563, 543, 623, 298, 296, 267, 2488, 513, 5150, 1505, 540, 23142, 1344, 936, 519, 4950, 269, 898, 5849, 602, 1239, 3788, 14804, 267, 8076, 267, 543, 16856, 689, 922, 2707, 547, 922, 10278, 269, 901, 2029, 568, 4909, 547, 4509, 519, 3354, 543, 8699, 540, 2228, 10618, 543, 8852, 563, 1692, 7043, 1684, 9399, 299, 20081, 11862, 22912, 919, 3816, 664, 4406, 573, 888, 763, 3044, 14496, 1974, 585, 9399, 299, 20081, 11862, 22783, 9783, 676, 1034, 25890, 8191, 885, 630, 290, 2026, 264, 568, 476, 4375, 279, 2395, 630, 32191, 476, 1724, 3275, 1040, 901, 1689, 729, 8045, 547, 3986, 1357, 3354, 543, 3972, 269, 13405, 547, 713, 267, 9399, 299, 20081, 11862, 22783, 1223, 723, 3476, 14496, 5712, 267, 971, 607, 1079, 610, 1256, 1614, 1296, 267, 855, 891, 3476, 546, 15342, 941, 943, 1078, 856, 1813, 547, 3354, 4145, 563, 3725, 3517, 585, 519, 10374, 2989, 4406, 7190, 11270, 454, 26670, 2331, 8232, 281, 1744, 7163, 14496, 5712, 1611, 602, 519, 10569, 1031, 585, 17278, 532, 543, 1232, 7973, 532, 1344, 616, 4957, 811, 4749, 269, 901, 6971, 519, 6885, 540, 4316, 585, 31487, 547, 17908, 513, 5732, 19847, 1883, 563, 293, 7528, 550, 7638, 2305, 281, 8617, 25430, 3340, 519, 15149, 23649, 547, 10929, 519, 15418, 1184, 811, 1419, 269, 901, 5849, 602, 519, 1344, 538, 519, 15149, 3788, 4977, 543, 909, 3562, 15082, 267, 10452, 1022, 2242, 538, 519, 3919, 781, 4567, 610, 9562, 540, 519, 6389, 563, 3849, 2194, 566, 547, 21744, 11621, 281, 634, 1357, 3354, 5251, 568, 7683, 9687, 269, 1744, 7163, 15149, 12468, 335, 753, 1450, 585, 18334, 9542, 547, 1007, 4441, 543, 4066, 563, 300, 527, 12720, 540, 16700, 1170, 4240, 22912, 919, 281, 769, 2013, 513, 15149, 568, 3765, 1170, 4240, 267, 513, 10156, 14496, 1974, 7182, 519, 942, 1282, 799, 513, 3765, 1170, 4240, 15149, 666, 581, 23699, 563, 19894, 25430, 540, 9399, 299, 20081, 11862, 22783, 568, 2629, 585, 4509, 519, 3354, 543, 8699, 540, 513, 3896, 269, 634, 25430, 1184, 3335, 3322, 912, 3725, 29705, 9179, 281, 634, 3896, 8227, 1590, 10929, 513, 15418, 1184, 2147, 547, 519, 3355, 15149, 1615, 340, 766, 269, 901, 949, 4125, 18445, 1852, 936, 519, 6389, 543, 267, 4470, 593, 519, 15149, 1826, 267, 3246, 8242, 3919, 1344, 563, 296, 1087, 340, 766, 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 ]
[ 758, 1149, 269, 634, 1973, 8047, 9043, 540, 519, 5046, 268, 866, 2550, 15225, 9726, 13449, 807, 267, 32151, 13449, 807, 267, 24405, 7514, 9008, 29646, 267, 543, 10717, 320, 8598, 267, 2059, 609, 2799, 2157, 540, 607, 4820, 622, 993, 514, 582, 4920, 2536, 848, 269, 16568, 17336, 268, 273, 3968, 538, 9176, 2021, 1281, 711, 1291, 547, 21565, 9019, 267, 7429, 824, 1990, 3019, 5328, 8318, 822, 21905, 971, 607, 16568, 17336, 543, 631, 8991, 17336, 267, 543, 972, 568, 267, 547, 4266, 267, 1100, 2963, 540, 12499, 17458, 710, 6771, 547, 19440, 919, 269, 21826, 26129, 723, 1044, 2919, 267, 543, 1713, 3646, 616, 1373, 1500, 547, 1020, 2500, 10074, 543, 519, 31706, 269, 769, 519, 9000, 540, 1022, 3644, 10391, 3797, 267, 18368, 267, 1072, 1416, 8128, 616, 2857, 2056, 519, 10073, 540, 2500, 2146, 17846, 3800, 547, 4831, 543, 2270, 713, 6855, 3644, 269, 901, 1957, 568, 606, 7650, 540, 713, 3644, 543, 519, 2068, 609, 513, 1880, 1445, 593, 16568, 17336, 268, 273, 270, 26542, 268, 866, 4791, 21454, 267, 31630, 267, 543, 6375, 31752, 267, 2059, 609, 2487, 1382, 7835, 563, 301, 7974, 12190, 690, 337, 5451, 325, 3821, 21812, 14645, 912, 15100, 476, 1708, 271, 29021, 13456, 0, 7072, 281, 25161, 6197, 543, 4509, 14432, 4189, 3270, 3310, 1279, 3856, 10236, 5852, 269, 20638, 281, 21133, 14432, 4189, 3270, 543, 25161, 6197, 538, 519, 1646, 540, 14968, 630, 8582, 1070, 8377, 630, 15477, 264, 543, 2799, 1560, 2527, 4994, 630, 289, 11085, 1070, 538, 10708, 543, 1762, 1004, 689, 519, 8479, 22032, 1353, 538, 18475, 1063, 476, 1220, 280, 543, 476, 1001, 277, 269, 7698, 543, 2409, 281, 17325, 1049, 267, 10763, 267, 24794, 8826, 20165, 1382, 267, 5342, 538, 476, 6795, 279, 10708, 543, 476, 5908, 271, 1453, 267, 536, 21725, 543, 1617, 21725, 3631, 267, 941, 5340, 547, 1353, 519, 4598, 2188, 543, 519, 1646, 540, 744, 310, 267, 28267, 543, 8390, 538, 519, 1560, 2527, 4994, 630, 289, 11085, 1040, 17564, 281, 8617, 2168, 2534, 14014, 1996, 744, 310, 543, 28267, 1256, 538, 5095, 602, 616, 25161, 543, 723, 14432, 4189, 3270, 269, 11778, 281, 634, 7928, 4616, 540, 14432, 6980, 568, 513, 1981, 3815, 630, 27184, 264, 585, 9501, 267, 1247, 602, 540, 14432, 10425, 729, 21598, 585, 9501, 543, 28267, 267, 519, 4616, 540, 14254, 568, 513, 8825, 3815, 630, 303, 293, 264, 585, 744, 310, 543, 28267, 267, 12129, 729, 674, 303, 585, 744, 310, 267, 7900, 2168, 2534, 568, 674, 303, 585, 744, 310, 543, 28267, 269, 1230, 7501, 281, 24367, 14432, 4189, 3270, 4679, 519, 1981, 540, 4430, 2597, 267, 2168, 2534, 540, 693, 2547, 476, 1789, 3764, 513, 1554, 14014, 1996, 744, 310, 543, 28267, 563, 30106, 6403, 339, 25222, 911, 3027, 18480, 632, 3288, 1980, 18676, 11252, 1475, 306, 539, 23358, 1272, 543, 14432, 4189, 3270, 593, 519, 10236, 5852, 540, 829, 12320, 1014, 1762, 2729, 281, 476, 1220, 280, 1107, 476, 1001, 277, 2008, 347, 14276, 24265, 1475, 301, 583, 878, 542, 7885, 3821, 586, 10791, 2045, 320, 11233, 7559, 2008, 347, 15307, 5964, 1475, 5715, 714, 5964, 910, 476, 1708, 273, 2008, 301, 7974, 12190, 690, 337, 5451, 325, 3821, 21812, 14645, 912, 15100, 476, 1708, 273, 17502, 1221, 611, 1965, 3966, 7637, 632, 2732, 2045, 320, 269, 2353, 2924, 11603, 563, 268, 20767, 23358, 2623, 454, 268, 8023, 2623, 454, 268, 8377, 269, 630, 13126, 281, 2725, 17239, 715, 299, 300, 264, 0, 268, 21601, 756, 1014, 4966, 29808, 602, 4258, 29609, 1788, 21467, 560, 13846, 8876, 4390, 540, 31311, 334, 5244, 563, 268, 3127, 10294, 4258, 29609, 17255, 538, 476, 4198, 273, 269, 5741, 4258, 9508, 6663, 547, 6338, 4258, 9508, 1394, 547, 3127, 543, 547, 3715, 513, 1863, 8573, 4474, 2551, 540, 1750, 29609, 338, 538, 3127, 563, 268, 634, 1101, 16801, 540, 476, 279, 4258, 9508, 689, 21601, 28992, 941, 5189, 547, 31311, 334, 3084, 6288, 538, 20029, 267, 476, 1708, 273, 267, 543, 513, 2034, 16801, 540, 12964, 3979, 1750, 29609, 338, 689, 3162, 4000, 941, 5189, 538, 3967, 267, 476, 1708, 274, 563, 268, 3127, 779, 4258, 29609, 11059, 4643, 476, 1708, 272, 10645, 602, 519, 476, 278, 4366, 13483, 5998, 31311, 334, 2817, 5244, 1223, 3180, 476, 2641, 1750, 29609, 338, 269, 1717, 3979, 1750, 29609, 338, 538, 4652, 10642, 14425, 267, 2356, 2049, 693, 1447, 982, 476, 272, 3662, 829, 476, 1911, 13483, 5998, 563, 1432, 568, 519, 6161, 1631, 888, 268, 4340, 547, 513, 1895, 540, 21601, 756, 1014, 3173, 5741, 4258, 29609, 21467, 560, 13846, 519, 8876, 4390, 540, 31311, 334, 2817, 5244, 543, 1705, 711, 3815, 538, 519, 2189, 8901, 10421, 540, 519, 2249, 1354, 10760, 538, 476, 736, 19481, 7314, 689, 4000, 563, 268, 634, 1750, 29609, 1788, 21467, 560, 13846, 31311, 334, 779, 8876, 4390, 1759, 593, 519, 13429, 602, 11160, 13586, 519, 10352, 3490, 676, 13346, 543, 6006, 532, 24549, 2803, 786, 1489, 811, 1750, 29609, 338, 855, 1750, 29609, 5860, 1281, 711, 4096, 593, 8244, 540, 1426, 4805, 563, 268, 769, 21601, 28992, 267, 1750, 29609, 11182, 616, 3677, 543, 10352, 5860, 2539, 267, 538, 5101, 4000, 11182, 616, 4130, 543, 10352, 5860, 2362, 267, 855, 519, 3845, 1063, 11182, 568, 3586, 543, 1100, 1007, 11182, 616, 3964, 538, 1063, 269, 1717, 267, 891, 9883, 941, 16053, 693, 31311, 334, 563, 1432, 1223, 581, 519, 2693, 2887, 719, 888, 268, 13038, 1750, 29609, 338, 1223, 10178, 856, 540, 519, 3084, 6288, 538, 3406, 540, 11182, 538, 519, 3677, 31311, 334, 5251, 12297, 1540, 676, 476, 15433, 14252, 563, 268, 12824, 4250, 602, 1614, 9038, 2095, 333, 538, 689, 21601, 28992, 1131, 19582, 519, 3003, 1858, 267, 16550, 519, 3162, 3979, 5256, 7314, 547, 14679, 856, 540, 519, 3084, 6288, 543, 16436, 4655, 563, 268, 1548, 568, 519, 25792, 3070, 888, 268, 1677, 7001, 543, 3640, 2476, 519, 2048, 560, 2001, 532, 685, 1750, 29609, 338, 547, 4244, 4609, 610, 3180, 873, 538, 11700, 17007, 269, 7102, 3118, 267, 713, 786, 14710, 519, 7150, 3804, 540, 5741, 4258, 29609, 1775, 4318, 1421, 968, 1729, 3715, 513, 1863, 8573, 4474, 2551, 540, 1750, 29609, 338, 563, 268, 634, 10352, 3490, 540, 31311, 334, 666, 581, 22541, 676, 6037, 20814, 562, 559, 326, 2967, 543, 3109, 321, 3089, 689, 4609, 1141, 789, 616, 12517, 14124, 6683, 563, 19102, 848, 538, 5453, 520, 1160, 10810, 618, 454, 268, 21298, 267, 519, 10568, 27147, 676, 519, 5253, 15278, 540, 3127, 630, 293, 5746, 264, 543, 3557, 2229, 8041, 814, 20546, 539, 2063, 1032, 779, 27147, 563, 268, 898, 568, 2944, 2901, 676, 674, 5746, 2047, 610, 676, 3557, 6554, 589, 2102, 2886, 630, 306, 16598, 1916, 268, 674, 5746, 729, 3964, 896, 519, 5253, 15278, 2920, 540, 476, 3422, 275, 267, 538, 1931, 547, 11886, 519, 1739, 6859, 912, 268, 13229, 3902, 1489, 4238, 585, 17420, 519, 4690, 540, 519, 6705, 998, 9049, 303, 593, 1426, 9274, 630, 305, 823, 267, 5453, 520, 267, 543, 21432, 9274, 1916, 268, 17392, 540, 1426, 9274, 2429, 519, 2197, 585, 519, 5398, 17392, 3590, 630, 303, 9169, 264, 543, 824, 14565, 563, 268, 24367, 513, 25685, 1377, 540, 10512, 543, 17280, 13632, 540, 1426, 6588, 1231, 547, 2226, 519, 6239, 7535, 547, 2327, 2817, 5253, 8232, 563, 268, 23570, 814, 12926, 1044, 519, 1297, 476, 272, 23784, 547, 519, 6239, 623, 944, 563, 268, 769, 23570, 543, 670, 776, 3570, 896, 519, 21438, 1062, 267, 10568, 568, 22876, 3293, 998, 1488, 6255, 12011, 553, 630, 1260, 3939, 8069, 264, 607, 829, 519, 1533, 6673, 10157, 2920, 269, 769, 824, 2829, 267, 10568, 630, 528, 533, 23098, 264, 568, 22876, 3293, 2047, 689, 519, 6705, 676, 674, 5746, 610, 590, 294, 2026, 563, 268, 5453, 520, 568, 1373, 22876, 3293, 896, 519, 667, 9573, 689, 5216, 2829, 8496, 27256, 21423, 267, 932, 1002, 26385, 3258, 327, 267, 31579, 541, 752, 8518, 267, 30899, 520, 267, 4639, 19377, 267, 4437, 9618, 267, 23570, 267, 543, 26527, 30773, 563, 268, 1160, 10810, 618, 1974, 15320, 689, 1533, 547, 1533, 269, 901, 5631, 4523, 1282, 519, 1699, 6725, 4005, 563, 10666, 29358, 8081, 12313, 630, 5960, 303, 994, 268, 898, 568, 513, 18228, 630, 291, 9573, 8358, 25218, 1242, 630, 12061, 5937, 9573, 264, 1184, 540, 2344, 6304, 676, 519, 6554, 540, 3127, 547, 5150, 6694, 12696, 1996, 1022, 8325, 2887, 538, 3484, 5777, 563, 268, 7788, 6407, 676, 519, 6554, 540, 3127, 693, 519, 4098, 540, 519, 521, 12976, 4005, 585, 1978, 7031, 563, 268, 6554, 3045, 25555, 9049, 11679, 585, 476, 2420, 32486, 7031, 543, 4023, 543, 1121, 684, 518, 894, 3902, 630, 293, 14641, 264, 585, 10931, 2117, 2033, 563, 268, 1703, 568, 1100, 1876, 25380, 585, 9049, 11679, 563, 29936, 5185, 676, 519, 6705, 912, 268, 1955, 6570, 540, 1871, 2530, 676, 519, 12080, 540, 5253, 563, 268, 5548, 599, 538, 8569, 540, 9049, 303, 1996, 10568, 27147, 563, 268, 10815, 2504, 2063, 1032, 1813, 547, 513, 21782, 538, 4728, 5210, 543, 606, 2333, 538, 4357, 16306, 563, 268, 634, 2179, 540, 9049, 303, 568, 10294, 676, 519, 2229, 1354, 519, 521, 12976, 540, 519, 7693, 1169, 1032, 563, 268, 13207, 1563, 593, 519, 16252, 540, 519, 8189, 585, 16581, 8779, 543, 31245, 630, 290, 3722, 303, 1916, 3682, 10810, 618, 8779, 547, 519, 6554, 454, 268, 674, 5746, 11225, 621, 607, 968, 1492, 2698, 1942, 892, 540, 27147, 799, 2882, 912, 268, 21733, 9974, 543, 3892, 3790, 454, 268, 5549, 1211, 531, 3790, 540, 27147, 454, 268, 3557, 9204, 454, 268, 8189, 547, 1488, 6255, 12011, 553, 610, 7239, 454, 268, 8779, 540, 9126, 3101, 2326, 454, 268, 13495, 328, 11668, 454, 268, 18815, 547, 519, 1244, 582, 267, 3092, 563, 763, 16316, 10421, 540, 10568, 585, 2229, 14565, 912, 268, 634, 5993, 1055, 339, 820, 689, 519, 6239, 623, 944, 814, 1044, 585, 454, 268, 17392, 896, 519, 2817, 5253, 8232, 2920, 267, 476, 1001, 274, 454, 268, 4033, 10304, 14565, 899, 519, 623, 2784, 7315, 31615, 686, 12275, 756, 918, 3315, 534, 17555, 962, 19390, 3570, 543, 2311, 2742, 715, 597, 321, 9618, 32038, 520, 1982, 585, 27540, 4600, 8015, 519, 6855, 563, 306, 21788, 4753, 281, 5990, 670, 18853, 308, 267, 5990, 17649, 2975, 29376, 2464, 267, 28697, 289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1491, 21066, 519, 2339, 540, 1818, 3277, 23552, 547, 21991, 12781, 3034, 308, 2529, 269, 10588, 25960, 2441, 2088, 590, 5500, 1457, 16136, 1177, 519, 21393, 25036, 269, 2701, 729, 24016, 547, 1931, 513, 2212, 3562, 3562, 324, 2689, 540, 519, 589, 311, 288, 11175, 269, 590, 5500, 1457, 2808, 5473, 1876, 11268, 267, 855, 6045, 693, 835, 6217, 267, 968, 296, 1810, 1406, 1491, 21066, 519, 2339, 540, 1818, 3277, 23552, 547, 21991, 12781, 3034, 263, 308, 2529, 269, 10588, 7040, 585, 519, 6239, 10588, 540, 4993, 994, 9515, 729, 849, 18762, 827, 8989, 15196, 1690, 1014, 547, 519, 3557, 4446, 267, 519, 1857, 8116, 3743, 585, 2384, 532, 519, 3656, 3924, 267, 5103, 2963, 602, 646, 1185, 3765, 1952, 10187, 730, 7366, 540, 5215, 540, 9489, 267, 2687, 547, 31286, 543, 5480, 2083, 902, 563, 288, 11765, 8387, 941, 4712, 547, 8495, 952, 590, 5500, 1457, 1500, 513, 6101, 29748, 267, 2687, 547, 513, 4745, 25937, 538, 476, 1001, 274, 676, 28763, 622, 1188, 267, 15168, 31310, 543, 14717, 724, 328, 18885, 269, 1358, 1767, 602, 607, 513, 1895, 789, 6462, 1200, 3257, 865, 269, 1809, 590, 5500, 1457, 7150, 693, 513, 6217, 602, 1352, 4769, 1406, 968, 3104, 2614, 540, 519, 5013, 547, 2995, 1022, 540, 596, 693, 713, 3942, 602, 594, 6557, 5423, 547, 798, 4376, 3034, 2691, 519, 3390, 3357, 909, 513, 1906, 3275, 2663, 267, 590, 5500, 1457, 10288, 519, 27192, 547, 2285, 1200, 2854, 10526, 540, 15196, 1690, 1014, 779, 13817, 2265, 609, 606, 3750, 4724, 13288, 1864, 547, 519, 3557, 4446, 267, 2687, 547, 5480, 6054, 543, 31286, 269, 634, 9794, 20177, 519, 17864, 685, 7840, 267, 607, 1352, 1185, 609, 19421, 540, 824, 6213, 6054, 538, 519, 2013, 563, 763, 8648, 6707, 21936, 539, 590, 5500, 1457, 2063, 1032, 585, 1569, 547, 519, 5638, 269, 15168, 31310, 729, 519, 19157, 18607, 945, 10353, 1818, 519, 6054, 1857, 563, 763, 9241, 796, 572, 4705, 6054, 1397, 602, 15168, 31310, 11130, 1996, 13288, 15196, 1690, 1014, 547, 519, 3557, 4446, 267, 1603, 602, 968, 9994, 532, 606, 7634, 693, 713, 1448, 892, 1522, 17225, 3646, 547, 973, 19281, 2724, 689, 1864, 269, 634, 9794, 7902, 7479, 12184, 267, 15194, 602, 968, 320, 29748, 1058, 711, 581, 1500, 693, 713, 942, 3034, 2026, 519, 18659, 1951, 13949, 593, 267, 519, 21120, 547, 3758, 10997, 1996, 15196, 1690, 1014, 1644, 547, 519, 589, 311, 288, 2724, 16668, 6251, 269, 1635, 519, 942, 519, 700, 6993, 269, 6019, 8664, 18607, 779, 5604, 6743, 883, 519, 31482, 538, 476, 1001, 277, 267, 519, 29417, 540, 7687, 585, 12611, 543, 824, 3978, 12523, 1185, 5293, 267, 2687, 547, 513, 3557, 4446, 25937, 676, 15196, 1690, 1014, 779, 18607, 269, 15196, 1690, 1014, 5418, 12184, 1100, 16311, 547, 513, 21688, 3415, 543, 513, 3765, 12047, 6756, 528, 5279, 538, 4276, 609, 1818, 7301, 6811, 547, 519, 3557, 4446, 543, 6038, 6039, 1100, 21569, 942, 563, 14071, 2219, 1496, 1492, 3765, 1952, 10187, 566, 31482, 316, 1058, 723, 1044, 5219, 547, 519, 772, 2529, 269, 18607, 547, 8495, 2223, 27416, 10557, 15196, 323, 267, 513, 5449, 3212, 3899, 323, 710, 4521, 3427, 7548, 945, 729, 519, 18607, 585, 519, 3943, 4604, 269, 968, 5629, 519, 9794, 1767, 1100, 267, 621, 568, 936, 269, 1656, 594, 1185, 547, 3398, 602, 3034, 1103, 5614, 476, 1001, 275, 267, 607, 28763, 622, 1188, 543, 15168, 31310, 941, 11319, 547, 2673, 856, 519, 11175, 1184, 267, 789, 4280, 519, 3943, 4604, 547, 1129, 513, 5305, 602, 1131, 2061, 519, 4604, 689, 2479, 647, 532, 519, 17864, 269, 634, 4604, 2818, 15189, 267, 547, 519, 20714, 766, 540, 15168, 31310, 267, 513, 13973, 2982, 563, 10527, 11175, 4604, 267, 607, 789, 4076, 4797, 547, 798, 2429, 713, 267, 814, 3361, 1256, 811, 2042, 267, 543, 621, 779, 3592, 519, 2766, 530, 698, 3101, 519, 2915, 693, 713, 1448, 2223, 15168, 31310, 5360, 7134, 547, 519, 9794, 269, 1306, 513, 12343, 540, 741, 30671, 267, 646, 6700, 267, 519, 9794, 1058, 1793, 1662, 513, 9709, 1269, 1789, 267, 1822, 32158, 9309, 618, 585, 741, 2951, 267, 3656, 543, 11889, 3790, 563, 306, 5500, 1457, 5795, 873, 1269, 274, 267, 1822, 267, 15663, 602, 1352, 1185, 1044, 968, 339, 11538, 547, 2057, 22587, 543, 16833, 1919, 909, 3034, 4263, 519, 1482, 942, 267, 519, 9794, 13752, 519, 17864, 606, 3606, 1269, 272, 2929, 538, 3656, 12375, 543, 3790, 585, 1018, 1352, 4330, 607, 3063, 960, 547, 2327, 968, 320, 1697, 8051, 543, 973, 19281, 618, 540, 3765, 323, 20526, 11175, 7482, 1848, 15168, 31310, 685, 6109, 4805, 4607, 1269, 14596, 267, 1822, 563, 306, 5500, 1457, 13166, 6806, 519, 2013, 538, 476, 1001, 277, 269, 5565, 1296, 2663, 267, 28763, 622, 1188, 4843, 1200, 606, 8366, 593, 15773, 540, 519, 29515, 4446, 2667, 333, 563, 2108, 9336, 9794, 1058, 1491, 4245, 689, 519, 12968, 22789, 2441, 2088, 590, 5500, 1457, 269, 2701, 568, 3461, 609, 3025, 855, 1869, 814, 1852, 540, 1200, 5480, 3336, 267, 543, 1352, 6487, 519, 1876, 3330, 543, 856, 2223, 28763, 622, 1188, 1767, 693, 519, 476, 1001, 279, 7333, 21103, 563, 5475, 3365, 1021, 267, 590, 5500, 1457, 1572, 1200, 1095, 4575, 936, 519, 21393, 25036, 968, 320, 7415, 1995, 3034, 263, 20124, 14745, 676, 519, 11968, 13353, 8648, 269, 14594, 568, 689, 513, 3561, 11643, 676, 606, 32358, 538, 519, 589, 311, 288, 11175, 2013, 8094, 5591, 2146, 1185, 1044, 811, 9599, 827, 519, 589, 311, 288, 11175, 982, 519, 5111, 476, 7785, 267, 1822, 6803, 18433, 2103, 945, 5030, 538, 5333, 269, 769, 513, 11802, 4663, 547, 8303, 1310, 19142, 519, 6876, 267, 15168, 31310, 267, 14717, 724, 328, 18885, 543, 28763, 622, 1188, 5143, 3943, 29515, 1347, 885, 602, 789, 1131, 4309, 693, 2547, 1269, 274, 2929, 896, 519, 11175, 267, 2687, 547, 11042, 543, 3370, 6589, 563, 14881, 2731, 2219, 789, 941, 12325, 2223, 1767, 19966, 8776, 534, 1014, 267, 513, 19784, 543, 6205, 540, 513, 931, 24832, 540, 30473, 29515, 18523, 2516, 563, 763, 700, 6993, 269, 27192, 5143, 1875, 2889, 22327, 547, 2721, 909, 18747, 585, 875, 789, 1522, 6108, 519, 2842, 6420, 543, 5555, 4607, 811, 982, 476, 1911, 6550, 540, 1957, 3156, 267, 27416, 1744, 24335, 327, 758, 1014, 267, 519, 3943, 4604, 4759, 563, 763, 14767, 519, 700, 6993, 269, 17864, 1500, 941, 5812, 609, 519, 2474, 540, 519, 11175, 6876, 269, 898, 9138, 602, 519, 17493, 6712, 540, 519, 11175, 2443, 606, 3355, 1269, 274, 2929, 7132, 8726, 729, 2451, 936, 689, 9104, 908, 519, 18939, 2443, 1131, 581, 2366, 547, 513, 5748, 1305, 909, 538, 5333, 547, 968, 611, 9330, 519, 4690, 540, 519, 29515, 2146, 1848, 589, 311, 288, 1131, 2328, 519, 676, 331, 9155, 585, 713, 1007, 17493, 543, 519, 700, 6993, 269, 17864, 1131, 9930, 3729, 606, 23388, 4604, 547, 15814, 519, 2724, 563, 3719, 519, 3943, 5748, 729, 2760, 1305, 909, 269, 634, 700, 6993, 269, 17864, 3079, 1688, 335, 17673, 1347, 885, 547, 4309, 519, 7482, 5497, 585, 519, 5748, 267, 2687, 547, 5480, 5638, 543, 15737, 1851, 519, 17864, 5828, 936, 547, 8128, 563, 2467, 729, 1100, 17203, 540, 519, 11175, 6876, 269, 2311, 835, 1448, 267, 519, 1614, 27192, 17019, 538, 513, 5480, 25937, 602, 789, 941, 1821, 11868, 689, 519, 11175, 2474, 267, 7713, 602, 972, 729, 968, 18528, 22187, 892, 543, 968, 20813, 4288, 892, 827, 4259, 909, 513, 3943, 18758, 267, 799, 1500, 621, 968, 1729, 334, 14427, 892, 547, 11654, 563, 3719, 789, 3533, 24013, 4319, 519, 25937, 543, 1705, 711, 15597, 30603, 519, 2339, 563, 298, 629, 622, 1188, 779, 1876, 7649, 267, 31016, 1731, 1014, 267, 733, 2105, 602, 519, 32585, 5163, 968, 1410, 14032, 569, 711, 1881, 892, 519, 9794, 540, 519, 17864, 685, 3375, 547, 8977, 689, 519, 11175, 6876, 267, 543, 519, 9794, 968, 17495, 1100, 3390, 609, 713, 15597, 19429, 1544, 892, 2094, 1352, 1705, 711, 1843, 269, 1261, 3773, 267, 968, 10468, 2416, 519, 5480, 267, 589, 311, 288, 267, 519, 2489, 1857, 267, 1022, 3919, 267, 6862, 4896, 3116, 2479, 13934, 713, 3070, 3034, 5415, 982, 1269, 272, 2929, 1705, 1118, 621, 547, 5333, 2861, 1347, 885, 267, 1519, 7366, 540, 5215, 540, 9489, 547, 7986, 1875, 2889, 22327, 971, 607, 519, 8303, 3184, 540, 519, 29515, 4937, 645, 2940, 14179, 550, 5742, 267, 610, 589, 16412, 308, 267, 607, 1134, 607, 4130, 14828, 547, 2686, 2516, 543, 3506, 563, 16391, 3074, 609, 1100, 4276, 547, 519, 30473, 29515, 2146, 849, 4607, 2628, 8083, 563, 298, 629, 622, 1188, 9859, 1269, 1839, 267, 1822, 547, 27199, 4011, 3125, 13751, 7896, 540, 11968, 13353, 6019, 267, 513, 18758, 593, 4171, 4604, 646, 2893, 267, 2687, 547, 513, 476, 1001, 271, 8051, 24432, 2663, 5828, 936, 547, 8128, 269, 901, 10516, 729, 711, 3769, 538, 519, 8638, 540, 17493, 23190, 519, 17864, 11643, 547, 519, 9794, 563, 298, 629, 622, 1188, 779, 7649, 267, 31016, 1731, 1014, 267, 9672, 602, 646, 1500, 519, 21856, 1510, 26655, 519, 9794, 267, 543, 1767, 646, 729, 711, 2838, 547, 3758, 513, 1867, 896, 519, 2474, 540, 519, 11175, 269, 8409, 2474, 19424, 539, 782, 540, 519, 2724, 1373, 2366, 547, 519, 3943, 5748, 585, 3892, 269, 31016, 1731, 1014, 1767, 1346, 6039, 676, 27199, 4011, 3125, 13751, 7896, 3769, 968, 1492, 1970, 13867, 29515, 2146, 3034, 5194, 2101, 18579, 540, 589, 311, 288, 7482, 729, 700, 1195, 7637, 4521, 3427, 267, 513, 25708, 700, 6993, 269, 9872, 609, 1906, 13218, 547, 5333, 855, 2673, 13218, 547, 519, 27192, 3238, 269, 15168, 31310, 543, 28763, 622, 1188, 941, 620, 30282, 945, 7902, 4749, 693, 13464, 2621, 543, 4171, 10909, 21534, 1053, 607, 804, 518, 802, 543, 20021, 607, 27498, 269, 28763, 622, 1188, 814, 6039, 585, 1296, 607, 519, 11381, 540, 519, 1876, 1153, 779, 4604, 540, 19971, 543, 568, 513, 3972, 2465, 540, 922, 2385, 6280, 267, 700, 1195, 7637, 6307, 25236, 269, 5753, 540, 15168, 31310, 543, 14717, 724, 328, 18885, 849, 12236, 1876, 5232, 972, 563, 763, 1876, 1153, 1767, 621, 4607, 827, 1269, 272, 269, 275, 2929, 689, 519, 1715, 3840, 5020, 543, 589, 311, 288, 17260, 267, 811, 982, 1022, 824, 2582, 9872, 269, 8616, 538, 8638, 11643, 547, 519, 9794, 267, 519, 27192, 31889, 1269, 6110, 267, 1822, 538, 23190, 547, 700, 1195, 7637, 563, 763, 7418, 2095, 539, 547, 519, 1153, 538, 13352, 543, 6238, 936, 513, 8370, 4458, 1974, 267, 21945, 538, 5666, 607, 1507, 607, 1269, 1015, 267, 277, 4097, 269, 6924, 543, 607, 1804, 607, 1269, 12573, 267, 1822, 563, 1103, 835, 2013, 267, 513, 1269, 12573, 267, 1822, 21856, 4857, 538, 5480, 4574, 607, 2469, 547, 1134, 8153, 29515, 17493, 589, 16412, 308, 10138, 909, 693, 700, 1195, 7637, 269, 28763, 622, 1188, 779, 1876, 7649, 1767, 589, 16412, 308, 968, 785, 2570, 1836, 4956, 892, 547, 24946, 519, 2724, 547, 700, 1195, 7637, 968, 1575, 517, 2256, 18967, 540, 519, 7482, 3034, 288, 1592, 540, 23190, 27192, 20574, 28763, 622, 1188, 267, 966, 691, 7719, 14717, 724, 328, 18885, 543, 4460, 15168, 31310, 11643, 547, 519, 9794, 538, 476, 1001, 271, 269, 5783, 2516, 5143, 634, 8648, 789, 1705, 711, 4309, 7366, 540, 5215, 540, 9489, 789, 941, 9277, 547, 4309, 563, 27331, 657, 13353, 8648, 8666, 14745, 994, 10387, 5661, 2663, 5828, 936, 547, 1876, 11268, 1397, 602, 519, 27192, 1185, 5249, 856, 538, 4434, 602, 519, 2724, 789, 5143, 519, 9794, 729, 2469, 547, 589, 16412, 308, 1131, 3533, 581, 4464, 539, 547, 519, 1153, 269, 589, 16412, 308, 5518, 7137, 613, 5590, 21531, 1014, 5143, 634, 8648, 519, 7482, 941, 2366, 547, 700, 1195, 7637, 609, 519, 968, 7666, 573, 766, 892, 540, 519, 17864, 269, 634, 17493, 968, 323, 573, 711, 917, 875, 713, 771, 321, 9309, 618, 729, 4080, 547, 519, 5480, 2223, 922, 8783, 2883, 11464, 267, 4460, 27707, 6352, 267, 5143, 519, 11356, 267, 4946, 267, 968, 933, 941, 711, 7255, 2094, 649, 5156, 713, 9295, 1131, 3028, 513, 17709, 2014, 3034, 763, 2014, 693, 700, 1195, 7637, 2968, 1634, 607, 519, 4741, 585, 519, 5530, 540, 4521, 543, 2637, 17462, 267, 855, 922, 8689, 1767, 621, 3323, 609, 4130, 27606, 269, 26304, 7108, 2006, 267, 513, 7803, 1876, 7548, 945, 1185, 6026, 1312, 15168, 31310, 543, 28763, 622, 1188, 267, 1767, 646, 1185, 1044, 3843, 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 ]
[ 21506, 1038, 535, 22182, 3488, 10520, 1636, 3403, 22007, 6339, 315, 337, 14826, 20298, 5897, 325, 815, 1930, 3488, 270, 5825, 619, 4882, 1372, 9109, 523, 270, 5327, 330, 9008, 23218, 1399, 11546, 8541, 17902, 12887, 342, 266, 20298, 1721, 1775, 538, 2039, 263, 30019, 8029, 825, 535, 22182, 3488, 1467, 642, 1399, 4939, 323, 315, 337, 14826, 262, 4939, 263, 328, 17903, 825, 535, 22182, 3488, 10520, 1636, 3403, 678, 8421, 514, 521, 3333, 315, 337, 14826, 262, 10142, 24541, 3698, 521, 3333, 11742, 4311, 267, 12528, 25722, 295, 739, 8029, 10676, 267, 1636, 815, 512, 295, 739, 1477, 2745, 834, 21010, 532, 4939, 338, 287, 260, 338, 281, 260, 323, 834, 4939, 630, 12528, 267, 10676, 267, 842, 263, 1636, 4297, 1706, 320, 815, 4164, 27323, 269, 9558, 1636, 4433, 1442, 3418, 1706, 320, 7456, 5914, 318, 11437, 6889, 7704, 295, 268, 273, 269, 271, 5174, 18350, 5055, 257, 5897, 339, 787, 6769, 1706, 320, 269, 6618, 263, 639, 20713, 284, 18350, 10142, 21955, 661, 29996, 13286, 267, 324, 6769, 2745, 834, 13286, 281, 4939, 338, 257, 4939, 552, 1477, 8873, 910, 272, 5897, 21955, 4164, 27323, 2529, 17239, 2750, 4003, 267, 324, 6769, 2745, 834, 13286, 281, 4939, 338, 257, 4939, 552, 1477, 8873, 910, 273, 5897, 258, 29798, 538, 513, 1279, 7227, 593, 521, 3333, 323, 2427, 267, 607, 621, 2115, 547, 18287, 519, 10957, 1477, 258, 21671, 952, 519, 3593, 6818, 1477, 10139, 23424, 815, 1412, 288, 262, 265, 29496, 876, 5897, 258, 5503, 6482, 1477, 5503, 9359, 815, 703, 263, 5503, 28333, 3890, 10142, 339, 787, 6769, 1706, 320, 269, 2246, 327, 7272, 817, 5320, 263, 12528, 267, 10139, 23424, 3418, 21955, 4164, 27323, 6993, 583, 5782, 1709, 2750, 4003, 267, 324, 6769, 2745, 552, 1477, 21955, 4164, 27323, 2529, 17239, 2750, 4003, 267, 324, 6769, 2745, 552, 5897, 5503, 291, 821, 815, 703, 263, 5503, 28333, 3890, 10142, 258, 13678, 921, 942, 9819, 1477, 5503, 4910, 815, 942, 291, 821, 6066, 9359, 5897, 604, 942, 4910, 1299, 25885, 282, 476, 736, 6769, 2745, 834, 27165, 281, 4939, 338, 6818, 257, 4939, 3593, 1477, 1706, 320, 25379, 14052, 8873, 5897, 12828, 6769, 2745, 834, 27165, 281, 4939, 338, 711, 1336, 257, 4939, 3593, 825, 5897, 331, 815, 1592, 14052, 1721, 1899, 538, 521, 3333, 318, 719, 21858, 28361, 333, 262, 8029, 825, 6221, 815, 1899, 21858, 3488, 1412, 25011, 271, 15947, 825, 1820, 3488, 14403, 568, 1923, 260, 338, 347, 262, 260, 14403, 3418, 825, 952, 556, 269, 14142, 3488, 23373, 323, 266, 259, 262, 2073, 6221, 8029, 1038, 561, 6910, 263, 14403, 3418, 321, 815, 1305, 10857, 3418, 2745, 6357, 10142, 3698, 2673, 318, 1087, 327, 263, 22563, 823, 267, 561, 17342, 316, 8029, 24541, 825, 585, 642, 1399, 538, 561, 6769, 1038, 1820, 3488, 27234, 1899, 642, 1399, 4939, 338, 262, 260, 341, 1399, 10142, 29148, 318, 1087, 327, 3488, 340, 583, 262, 2073, 536, 3418, 5897, 16059, 815, 15981, 19651, 521, 660, 335, 1477, 17928, 9143, 7746, 3546, 5899, 23628, 567, 19405, 825, 7831, 1234, 18727, 1477, 1220, 272, 281, 24174, 279, 281, 271, 281, 275, 15311, 1015, 288, 2018, 476, 273, 19930, 476, 275, 1038, 476, 876, 281, 876, 281, 1789, 8587, 14271, 1027, 18257, 5897, 258, 583, 1584, 815, 15981, 17928, 9143, 7746, 3546, 5899, 23628, 567, 19405, 825, 7831, 1234, 18727, 1477, 258, 1015, 269, 11793, 269, 2918, 269, 25248, 25639, 476, 273, 19930, 476, 275, 1038, 476, 876, 281, 876, 281, 6021, 8587, 14271, 1027, 18257, 1477, 332, 815, 556, 269, 14142, 3488, 9230, 286, 24097, 323, 10954, 26142, 323, 10954, 26142, 323, 10954, 26142, 323, 266, 31206, 263, 286, 281, 263, 286, 281, 314, 320, 1922, 271, 268, 280, 27994, 15311, 286, 11924, 314, 320, 1922, 271, 268, 280, 27994, 4297, 1341, 315, 323, 266, 1341, 315, 323, 266, 1341, 315, 306, 266, 1341, 27675, 1027, 3299, 3977, 267, 516, 15660, 3418, 604, 544, 6769, 825, 521, 284, 332, 3052, 4981, 263, 272, 3418, 825, 1820, 2891, 301, 9143, 7817, 568, 15222, 1242, 4939, 338, 257, 260, 338, 3418, 12828, 6769, 825, 1820, 3488, 2254, 3901, 3832, 262, 10142, 338, 13996, 318, 760, 284, 1412, 276, 269, 276, 269, 276, 269, 272, 262, 1477, 338, 13996, 318, 760, 15461, 8548, 2255, 284, 1412, 315, 269, 8339, 21860, 4433, 13996, 318, 760, 21858, 3488, 9538, 17903, 16059, 815, 15981, 5141, 1442, 568, 15222, 1242, 267, 14404, 636, 476, 274, 267, 4704, 568, 476, 276, 269, 276, 269, 276, 269, 272, 1363, 1477, 333, 558, 1400, 1954, 336, 568, 476, 7742, 269, 1822, 271, 21636, 267, 4890, 1954, 336, 568, 476, 27149, 269, 4200, 277, 273, 21636, 267, 8856, 568, 476, 273, 1262, 1015, 1477, 660, 335, 15399, 830, 568, 476, 5908, 876, 630, 272, 270, 1911, 540, 7643, 1070, 6571, 568, 476, 25002, 277, 1477, 10915, 2397, 942, 568, 661, 271, 293, 4792, 291, 5263, 269, 11011, 292, 289, 10436, 289, 271, 630, 1691, 281, 5881, 281, 7906, 269, 31816, 594, 4306, 774, 340, 4119, 476, 279, 476, 1001, 280, 3418, 22018, 15558, 568, 476, 7367, 269, 1822, 271, 544, 5913, 267, 3597, 8488, 568, 476, 272, 269, 876, 544, 5913, 1477, 10174, 24980, 568, 476, 278, 4200, 275, 269, 10844, 544, 5913, 267, 9263, 24980, 568, 476, 6245, 269, 4366, 544, 5913, 1477, 31467, 16344, 614, 1533, 568, 1412, 6311, 12435, 262, 630, 31863, 2552, 9776, 31230, 1070, 20847, 568, 476, 271, 269, 1822, 27888, 271, 6078, 521, 4882, 1477, 17882, 3542, 954, 18257, 5897, 604, 556, 269, 14142, 3488, 22018, 1341, 529, 1341, 27675, 11388, 1242, 30818, 260, 338, 262, 260, 338, 13996, 318, 760, 15461, 8548, 2255, 267, 3977, 267, 516, 15660, 8029, 825, 1820, 3488, 3901, 3481, 20298, 12828, 6769, 825, 1820, 3488, 325, 841, 262, 10142, 329, 657, 815, 1412, 329, 25493, 262, 1477, 2745, 6600, 262, 322, 663, 28371, 2012, 568, 2715, 329, 657, 348, 262, 10142, 16059, 815, 15981, 17928, 9143, 7746, 3546, 5899, 23628, 567, 19405, 825, 7831, 1234, 18727, 1477, 1015, 269, 11793, 269, 2918, 269, 25248, 25639, 476, 273, 19930, 476, 275, 1038, 476, 876, 281, 876, 281, 6021, 8587, 14271, 1027, 18257, 1477, 604, 556, 269, 14142, 28361, 323, 10954, 26142, 323, 10954, 26142, 323, 10954, 26142, 323, 266, 1341, 315, 323, 266, 1341, 315, 323, 266, 1341, 315, 306, 266, 1341, 27675, 1027, 3299, 3977, 267, 516, 15660, 8029, 825, 1820, 3488, 3901, 3481, 20298, 12828, 6769, 825, 1820, 3488, 684, 3901, 3481, 20298, 24541, 325, 323, 815, 1930, 3488, 338, 22567, 24048, 23150, 17902, 3299, 1412, 266, 20298, 325, 323, 22182, 2891, 7090, 568, 9226, 14744, 325, 323, 25379, 14052, 24653, 332, 2643, 626, 815, 1496, 271, 10086, 338, 22567, 24048, 262, 2073, 476, 275, 267, 476, 276, 269, 274, 15947, 1998, 815, 1250, 4289, 314, 272, 4940, 21639, 14052, 332, 2643, 626, 314, 272, 316, 815, 1250, 4289, 314, 272, 4940, 21639, 14052, 2745, 9852, 2643, 626, 3418, 5897, 331, 272, 815, 1496, 476, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 15947, 331, 274, 815, 561, 272, 1477, 331, 273, 815, 561, 272, 314, 271, 281, 15947, 331, 273, 314, 271, 316, 815, 476, 278, 1477, 2745, 10857, 272, 3418, 331, 274, 314, 271, 24557, 279, 5897, 2745, 10857, 272, 10142, 4067, 815, 1412, 306, 22567, 24048, 262, 1477, 720, 815, 476, 4391, 1477, 325, 815, 476, 1911, 270, 6507, 1477, 2745, 630, 325, 6415, 344, 2012, 568, 281, 2715, 4067, 9574, 2085, 281, 346, 720, 348, 10807, 21506, 2745, 630, 325, 262, 7407, 540, 535, 568, 2715, 325, 348, 20298, 2745, 6600, 262, 7407, 540, 535, 568, 2715, 325, 281, 258, 283, 1015, 269, 275, 325, 348, 1439, 9538, 3418, 2745, 6600, 262, 7407, 540, 535, 568, 2715, 325, 17041, 285, 1015, 269, 275, 325, 348, 1439, 9538, 3418, 2745, 6600, 262, 7407, 540, 535, 568, 2715, 325, 18737, 317, 1015, 269, 274, 325, 348, 1439, 9538, 3418, 2745, 3488, 515, 1094, 529, 1010, 2012, 729, 4939, 338, 262, 4939, 262, 15728, 20298, 2745, 3488, 515, 1094, 529, 1010, 2012, 729, 4939, 338, 262, 4939, 4067, 3418, 2745, 3488, 515, 1094, 529, 1010, 2012, 729, 4939, 337, 262, 4939, 4067, 10142, 3698, 4351, 21803, 14707, 1080, 30415, 21920, 284, 277, 8029, 825, 15981, 7049, 4733, 513, 4351, 5569, 540, 5022, 543, 9704, 15981, 1477, 825, 5022, 4517, 14707, 1080, 815, 5569, 269, 30913, 328, 318, 24393, 1341, 5569, 6155, 580, 1080, 1477, 825, 2132, 1412, 8339, 21860, 263, 12690, 26716, 4069, 263, 24393, 4517, 14707, 1080, 264, 585, 1775, 538, 2039, 30415, 21920, 17903, 2745, 9497, 17653, 908, 513, 15932, 21642, 1519, 5022, 543, 9704, 14744, 2745, 9497, 5575, 15932, 21642, 568, 476, 14307, 4351, 21803, 14707, 1080, 263, 279, 17903, 2745, 9497, 13553, 15932, 21642, 568, 14307, 4351, 21803, 14707, 1080, 263, 279, 17903, 2745, 9497, 23612, 15932, 21642, 568, 476, 14307, 4351, 21803, 14707, 1080, 263, 279, 264, 10142, 328, 815, 476, 26839, 1477, 338, 686, 815, 9598, 14052, 6112, 1775, 6769, 825, 521, 686, 5157, 316, 815, 4351, 21803, 14707, 1080, 9217, 3418, 825, 1775, 815, 1775, 268, 272, 1477, 2745, 630, 338, 686, 3418, 672, 5897, 16059, 815, 15981, 639, 20713, 2978, 17979, 476, 1428, 10957, 476, 277, 2978, 1477, 639, 20713, 524, 8646, 17979, 476, 1428, 10957, 476, 277, 524, 8646, 1477, 639, 20713, 3051, 271, 17979, 476, 271, 10957, 476, 277, 3051, 271, 1477, 639, 20713, 2978, 11277, 17979, 476, 1428, 10957, 476, 277, 2978, 11277, 18257, 1477, 639, 20713, 815, 1412, 18350, 11277, 275, 262, 1477, 10139, 5320, 815, 1412, 18350, 11277, 262, 1477, 1440, 643, 815, 1412, 1428, 262, 1477, 1721, 1899, 538, 3977, 21858, 28361, 333, 262, 8029, 24541, 825, 544, 815, 556, 6230, 2255, 3488, 639, 20713, 1341, 260, 338, 1341, 1440, 643, 850, 613, 1341, 260, 338, 1341, 10139, 5320, 1341, 277, 1341, 7268, 306, 266, 264, 262, 260, 263, 639, 20713, 267, 1440, 643, 264, 2073, 1899, 3418, 825, 952, 544, 6769, 1038, 1820, 263, 1467, 3418, 1038, 1826, 277, 7272, 23424, 284, 544, 3052, 4981, 263, 272, 3418, 1038, 1820, 3488, 6943, 476, 277, 10957, 7329, 4939, 338, 262, 260, 6943, 277, 7272, 23424, 10142, 604, 711, 1826, 277, 7272, 23424, 6769, 825, 1820, 3488, 7224, 3593, 262, 10142, 9492, 323, 815, 1412, 338, 1111, 335, 2517, 338, 1372, 9109, 523, 281, 4206, 23950, 287, 1015, 269, 11793, 269, 26562, 269, 12553, 2260, 339, 1111, 335, 4882, 1372, 9109, 523, 11721, 850, 8755, 281, 262, 1477, 332, 815, 556, 269, 14142, 3488, 338, 1111, 335, 2517, 263, 30818, 286, 2567, 263, 30818, 24047, 287, 263, 30818, 24047, 2260, 263, 30818, 19422, 30818, 24047, 1341, 30818, 3299, 9492, 323, 3418, 604, 544, 6769, 825, 27024, 815, 544, 3052, 4981, 263, 272, 3418, 825, 10957, 815, 544, 3052, 4981, 263, 273, 3418, 825, 521, 21683, 8548, 326, 31198, 318, 760, 815, 544, 3052, 4981, 263, 274, 3418, 825, 521, 21683, 24786, 815, 544, 3052, 4981, 263, 275, 3418, 825, 521, 21683, 18316, 815, 544, 3052, 4981, 263, 276, 3418, 825, 1820, 263, 639, 20713, 267, 10139, 5320, 267, 521, 21683, 8548, 326, 31198, 318, 760, 2073, 521, 21683, 18316, 267, 521, 21683, 24786, 3418, 17264, 5897, 24653, 29177, 28744, 630, 516, 269, 14142, 21948, 286, 15545, 16732, 286, 281, 11138, 333, 30818, 21663, 269, 16732, 286, 24097, 11631, 315, 314, 20813, 3305, 315, 8079, 286, 315, 258, 24047, 3299, 16059, 17903, 28744, 630, 516, 269, 14142, 3488, 263, 286, 281, 263, 286, 15545, 16732, 286, 281, 11138, 333, 30818, 12684, 30818, 7565, 4777, 596, 1616, 547, 936, 2328, 315, 286, 1422, 314, 20813, 3305, 315, 316, 4297, 347, 263, 269, 16732, 286, 281, 11138, 333, 30818, 12684, 30818, 11138, 258, 264, 3299, 16059, 267, 516, 15660, 1040, 16766, 263, 272, 17903, 28744, 630, 516, 269, 14142, 3488, 263, 286, 281, 263, 286, 281, 263, 286, 15545, 265, 11138, 333, 11924, 30818, 7565, 31095, 30818, 315, 314, 20813, 3305, 315, 316, 4297, 347, 263, 269, 16732, 286, 281, 11138, 333, 30818, 12684, 30818, 11138, 258, 264, 3299, 16059, 267, 516, 15660, 1040, 16766, 263, 272, 17903, 719, 815, 556, 269, 14142, 3488, 263, 286, 15545, 16732, 286, 281, 11138, 333, 30818, 12684, 30818, 9230, 286, 281, 31095, 30818, 315, 314, 20813, 3305, 315, 8079, 347, 263, 286, 281, 11138, 258, 30727, 3299, 16059, 267, 516, 15660, 1040, 16766, 263, 272, 3418, 604, 556, 269, 14142, 3488 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 589, 7128, 11464, 4767, 1079, 2367, 9117, 19035, 569, 538, 4395, 540, 513, 13418, 4558, 269, 1358, 533, 3166, 1394, 543, 8521, 267, 15336, 1472, 519, 4558, 267, 543, 21237, 6743, 538, 519, 6885, 269, 634, 4810, 11464, 21787, 602, 891, 2043, 941, 1034, 2693, 834, 322, 2084, 257, 519, 1747, 1991, 547, 3775, 6883, 621, 269, 1261, 14059, 267, 4857, 5128, 267, 543, 1273, 1540, 1524, 519, 9018, 7802, 540, 1142, 269, 1261, 1336, 513, 1688, 7784, 538, 1142, 812, 781, 17927, 543, 18486, 873, 585, 8876, 10703, 4705, 9604, 269, 4024, 519, 5480, 16401, 519, 15963, 593, 519, 4493, 602, 972, 729, 1100, 21483, 2014, 543, 519, 3406, 729, 796, 6247, 6627, 888, 288, 269, 8786, 267, 1317, 972, 729, 1100, 21483, 2014, 547, 3494, 602, 513, 6760, 729, 1373, 8149, 563, 289, 269, 3143, 267, 1317, 519, 11464, 1185, 10257, 27421, 547, 3494, 602, 972, 1522, 581, 7803, 2534, 7192, 2393, 563, 290, 269, 3143, 267, 1317, 519, 11464, 1705, 723, 21483, 2014, 547, 3494, 602, 513, 6760, 729, 1373, 13986, 563, 291, 269, 8786, 267, 1317, 519, 11464, 568, 711, 4847, 547, 1491, 4376, 856, 540, 519, 2367, 781, 22836, 1247, 10647, 513, 1273, 16365, 563, 12585, 281, 645, 0, 9223, 281, 634, 1769, 689, 519, 3786, 13933, 6505, 2989, 519, 14334, 267, 855, 621, 1223, 711, 2061, 519, 14927, 4411, 540, 667, 12447, 781, 4210, 2086, 567, 1212, 9429, 883, 741, 7633, 269, 898, 729, 513, 9490, 1747, 269, 9410, 543, 8751, 24714, 602, 789, 1185, 711, 7608, 10793, 781, 9041, 1547, 1358, 17329, 22742, 267, 855, 711, 2282, 713, 32761, 269, 834, 3383, 2437, 9410, 4280, 607, 789, 2893, 8384, 519, 3905, 1071, 1023, 269, 834, 1692, 1705, 713, 1747, 1205, 922, 2012, 8119, 834, 6701, 596, 2386, 596, 1616, 547, 5873, 621, 7790, 898, 781, 513, 17559, 1650, 2437, 19230, 10793, 269, 834, 8170, 1576, 10590, 524, 3072, 856, 8751, 269, 834, 2252, 972, 941, 4376, 547, 581, 18901, 540, 267, 596, 9327, 1405, 723, 6074, 713, 1747, 10590, 834, 302, 330, 267, 855, 1810, 1405, 2161, 594, 4769, 1405, 24633, 596, 2437, 1767, 10793, 267, 543, 646, 3459, 713, 9661, 269, 834, 310, 599, 1394, 538, 942, 267, 513, 812, 1572, 667, 12447, 6836, 547, 1376, 513, 3484, 1934, 269, 1261, 3710, 602, 32119, 936, 972, 547, 2661, 538, 269, 769, 1346, 2395, 267, 519, 1858, 6743, 3833, 1114, 476, 955, 621, 729, 4988, 609, 7381, 4054, 543, 519, 32761, 729, 513, 12627, 268, 27234, 5757, 269, 2991, 1614, 2182, 1296, 267, 667, 12447, 1185, 23498, 1896, 4610, 543, 12630, 7031, 269, 1261, 729, 865, 10583, 540, 1010, 1967, 602, 646, 15189, 547, 6432, 547, 5796, 269, 834, 262, 2791, 616, 21757, 1932, 1454, 2244, 10086, 19230, 835, 2025, 812, 269, 1412, 634, 2244, 568, 513, 2713, 3364, 269, 898, 786, 5734, 1394, 693, 596, 952, 596, 6057, 621, 269, 1412, 834, 262, 306, 11035, 18174, 10086, 1767, 667, 12447, 547, 5128, 269, 1412, 2252, 594, 2312, 811, 2244, 267, 594, 666, 1332, 811, 7031, 269, 594, 3513, 1831, 5763, 1512, 269, 1261, 781, 1175, 23279, 256, 262, 257, 834, 291, 12447, 4797, 547, 14299, 1524, 4054, 269, 9540, 2831, 602, 16941, 593, 873, 585, 1426, 543, 12062, 941, 10032, 269, 1261, 729, 865, 11235, 547, 4228, 1010, 3484, 602, 646, 1705, 711, 5469, 519, 5757, 13576, 7444, 2509, 1010, 7450, 269, 1261, 1705, 711, 5469, 6070, 694, 9429, 547, 519, 2627, 540, 519, 2244, 269, 1261, 1705, 711, 5469, 32761, 2371, 669, 3183, 782, 519, 5065, 2371, 1701, 834, 1432, 5949, 8119, 9410, 4280, 269, 898, 729, 3395, 21617, 269, 1261, 1726, 3387, 1194, 267, 6335, 532, 1010, 1560, 6251, 547, 519, 3595, 269, 834, 763, 2244, 5734, 1394, 476, 955, 1175, 607, 519, 2025, 812, 19230, 2437, 10793, 695, 745, 13949, 269, 834, 291, 12447, 20374, 269, 6196, 11570, 1472, 1934, 3494, 602, 32761, 2371, 6410, 909, 689, 519, 5757, 543, 1951, 13949, 1864, 14015, 269, 3571, 1560, 729, 2760, 1336, 1701, 834, 1432, 513, 29749, 1650, 2437, 561, 13774, 1117, 8751, 269, 834, 5522, 1218, 666, 1405, 10371, 1701, 6969, 646, 1185, 8737, 6340, 267, 646, 3458, 3139, 543, 535, 20557, 476, 1547, 634, 824, 1079, 8695, 29860, 909, 609, 19225, 267, 31325, 693, 8751, 269, 22582, 267, 789, 16802, 856, 28617, 269, 2368, 3039, 32761, 17488, 344, 567, 1185, 4988, 8751, 781, 3068, 269, 898, 729, 513, 1247, 1354, 8751, 1223, 5660, 519, 24983, 269, 1548, 3992, 666, 649, 1451, 689, 519, 1650, 540, 667, 12447, 888, 288, 269, 6182, 5684, 782, 267, 6336, 782, 454, 289, 269, 3143, 17570, 267, 1100, 6653, 563, 290, 269, 898, 568, 1100, 946, 24986, 936, 838, 2830, 5144, 454, 291, 269, 1261, 945, 2306, 1100, 9073, 2306, 4986, 563, 12585, 281, 589, 0, 9223, 281, 14419, 2436, 519, 9971, 538, 2098, 20572, 316, 25389, 606, 29276, 7322, 21205, 585, 9048, 3027, 2225, 936, 1627, 269, 476, 279, 343, 317, 274, 1341, 476, 277, 343, 317, 273, 910, 476, 280, 343, 1341, 476, 2190, 454, 288, 269, 8786, 267, 609, 533, 284, 273, 563, 289, 269, 8786, 267, 609, 533, 284, 274, 563, 290, 269, 8786, 267, 609, 533, 284, 276, 563, 291, 269, 3143, 563, 12585, 281, 645, 0, 9223, 281, 875, 547, 1205, 7759, 540, 5127, 12961, 454, 12585, 281, 28820, 10840, 2789, 2053, 1142, 3018, 607, 596, 535, 754, 1055, 519, 10860, 269, 25169, 543, 3819, 707, 9660, 693, 519, 29224, 4259, 630, 520, 2547, 476, 6344, 5232, 264, 547, 6146, 1022, 5127, 12961, 269, 15233, 25879, 547, 18015, 543, 1212, 341, 1182, 2938, 538, 6821, 543, 7450, 14604, 269, 13555, 513, 11641, 1852, 11285, 952, 4191, 540, 23588, 3136, 269, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 5068, 4095, 2780, 834, 536, 834, 4095, 5068, 2780, 834, 15017, 288, 281, 536, 0, 9223, 281, 11709, 1846, 11535, 966, 2478, 330, 592, 267, 513, 6653, 8686, 334, 5367, 267, 5180, 1922, 3166, 476, 1626, 4458, 6040, 21487, 22256, 267, 4171, 2012, 267, 693, 519, 4090, 267, 568, 538, 2169, 878, 2406, 5532, 609, 519, 3735, 1855, 25564, 570, 1263, 267, 513, 22256, 689, 15990, 4171, 2648, 8964, 6591, 1200, 2647, 21239, 2066, 5607, 267, 2893, 593, 513, 11381, 538, 513, 19703, 4055, 540, 513, 14364, 538, 19864, 269, 966, 2478, 330, 592, 729, 8600, 585, 1200, 2773, 693, 513, 7523, 320, 476, 676, 3624, 31970, 27400, 8551, 6828, 267, 835, 540, 519, 2197, 781, 1034, 20380, 7900, 6575, 2516, 267, 799, 814, 4013, 1489, 269, 898, 729, 3564, 8969, 602, 1352, 729, 24584, 602, 1200, 26813, 585, 713, 1390, 1895, 1131, 581, 513, 1967, 585, 1200, 4876, 269, 570, 12822, 31970, 11146, 267, 519, 7523, 320, 267, 799, 729, 588, 3042, 689, 5463, 269, 476, 1691, 547, 476, 1704, 693, 2725, 328, 28469, 325, 836, 9835, 26308, 267, 7604, 1078, 2575, 543, 23929, 689, 811, 982, 476, 1015, 2477, 269, 966, 2478, 330, 592, 267, 8204, 17289, 267, 5340, 763, 300, 3019, 11847, 637, 757, 7069, 29587, 267, 835, 540, 570, 1263, 781, 1034, 4583, 3440, 6758, 267, 799, 568, 849, 835, 540, 519, 5172, 8964, 540, 519, 1762, 21487, 22256, 269, 634, 15832, 24829, 676, 713, 4583, 5152, 814, 1044, 19788, 6634, 540, 1004, 945, 723, 2479, 4862, 621, 543, 621, 786, 676, 1100, 1797, 581, 16618, 676, 873, 269, 898, 568, 966, 2478, 330, 592, 781, 1101, 1857, 2773, 1310, 10283, 538, 519, 2442, 4641, 7641, 1397, 267, 519, 8772, 4005, 540, 763, 309, 4069, 1993, 19770, 267, 799, 729, 513, 1600, 676, 2098, 515, 10202, 836, 31420, 7641, 689, 5147, 547, 5239, 269, 769, 713, 1982, 966, 2478, 330, 592, 3459, 547, 581, 1634, 676, 519, 4457, 5304, 543, 789, 941, 27086, 693, 519, 16726, 540, 1200, 5920, 547, 602, 540, 570, 1263, 269, 4438, 519, 1397, 267, 1352, 704, 11526, 570, 1263, 781, 2442, 16125, 269, 8729, 547, 1200, 5639, 267, 13465, 2511, 607, 1134, 607, 1200, 3239, 267, 799, 20998, 519, 19416, 570, 1263, 267, 966, 2478, 330, 592, 6591, 16074, 21239, 267, 1498, 1352, 4769, 1405, 3094, 519, 6735, 693, 2063, 269, 1717, 267, 621, 8604, 602, 1200, 1272, 1705, 1831, 1114, 1310, 519, 4641, 1397, 269, 2060, 5176, 476, 1911, 267, 1822, 13794, 593, 1200, 31291, 1284, 756, 334, 2272, 267, 966, 2478, 330, 592, 729, 6444, 676, 519, 12080, 540, 21094, 543, 11846, 540, 519, 8003, 540, 17289, 543, 519, 21094, 16958, 540, 17289, 585, 1200, 9295, 547, 5009, 513, 2318, 3239, 540, 17289, 538, 3624, 693, 519, 6735, 269, 966, 2478, 330, 592, 12909, 7444, 543, 28663, 538, 31402, 4457, 269, 898, 781, 2653, 547, 7340, 602, 1352, 568, 1175, 476, 1626, 1317, 540, 1200, 12837, 543, 9350, 1145, 593, 543, 1055, 519, 3942, 269, 18004, 538, 513, 1507, 8498, 540, 21919, 6495, 1263, 623, 2867, 267, 966, 2478, 330, 592, 729, 23816, 540, 13465, 689, 519, 942, 1352, 729, 476, 274, 269, 2311, 476, 278, 267, 1352, 19557, 547, 570, 1263, 781, 8964, 585, 519, 1101, 942, 1310, 1200, 3237, 14612, 1394, 689, 15173, 15158, 267, 8744, 1753, 519, 7131, 338, 540, 519, 22256, 269, 1411, 666, 15991, 4952, 1200, 15131, 827, 873, 950, 31986, 543, 6947, 547, 873, 269, 834, 763, 4090, 594, 19557, 547, 1200, 8964, 267, 594, 5433, 865, 5432, 269, 9282, 594, 7948, 1405, 3717, 1022, 4457, 267, 594, 4121, 519, 8964, 3728, 269, 4595, 1287, 267, 594, 12479, 547, 3643, 3624, 543, 1831, 513, 22256, 2437, 9917, 3081, 267, 4946, 602, 1352, 15055, 4457, 8964, 267, 2523, 1346, 689, 519, 476, 3192, 271, 338, 543, 476, 2735, 271, 338, 269, 3509, 540, 1200, 2828, 543, 476, 521, 4951, 1390, 7138, 2211, 543, 789, 1175, 7948, 1405, 1118, 856, 1946, 1352, 729, 865, 21173, 827, 4457, 2575, 269, 769, 476, 1001, 275, 267, 966, 2478, 330, 592, 729, 15861, 883, 519, 28337, 1164, 1153, 540, 519, 3624, 20271, 2218, 540, 8535, 269, 3767, 267, 1352, 568, 4974, 693, 606, 3486, 1153, 538, 19864, 267, 2519, 593, 1565, 4457, 269, 2701, 849, 814, 824, 4566, 267, 971, 607, 2417, 532, 1200, 2090, 538, 3567, 610, 3162, 9705, 269, 1717, 4101, 621, 949, 581, 585, 1200, 547, 1831, 513, 22530, 541, 267, 1352, 568, 5462, 547, 4163, 593, 7488, 540, 1022, 9465, 1352, 949, 7237, 538, 519, 2104, 269, 1215, 1281, 966, 2478, 330, 592, 1034, 2693, 1265, 1200, 2773, 538, 763, 309, 4069, 1993, 19770, 888, 288, 269, 2598, 1952, 2002, 532, 563, 289, 269, 24296, 22066, 563, 290, 269, 25166, 8973, 563, 291, 269, 12791, 1652, 563, 12585, 281, 595, 0, 9223, 281, 2311, 2349, 1601, 558, 7736, 21805, 13749, 267, 476, 2420, 4458, 6040, 26304, 966, 710, 2893, 267, 7996, 585, 1010, 1007, 16108, 269, 634, 4478, 3039, 4610, 941, 865, 7429, 519, 544, 28854, 5251, 540, 2112, 2389, 1941, 5333, 269, 2991, 2185, 29695, 1296, 607, 606, 7952, 4357, 8165, 538, 2342, 267, 26304, 1185, 8120, 547, 4789, 538, 5988, 476, 3707, 277, 269, 20331, 1631, 609, 930, 9806, 543, 609, 1100, 16548, 585, 513, 2816, 538, 4789, 267, 646, 12943, 513, 11356, 740, 585, 3484, 948, 538, 4516, 269, 5565, 3275, 2663, 646, 729, 593, 1010, 1259, 269, 1879, 519, 2025, 1286, 678, 14217, 567, 4724, 519, 6263, 6728, 267, 26304, 9782, 547, 1010, 3952, 267, 3843, 547, 1118, 519, 1034, 540, 1010, 2947, 3723, 543, 2185, 6279, 7406, 269, 634, 16027, 267, 1325, 874, 2945, 700, 777, 710, 267, 695, 809, 1010, 2212, 543, 5360, 7134, 267, 834, 2791, 2811, 513, 2960, 5500, 3364, 1701, 2201, 519, 1259, 547, 1010, 10683, 3484, 267, 1325, 874, 2945, 6045, 602, 646, 1185, 513, 7385, 543, 5722, 3214, 269, 834, 300, 2292, 568, 9395, 269, 1411, 3513, 1205, 4055, 543, 4604, 269, 1411, 3513, 1205, 909, 693, 21554, 585, 5144, 532, 267, 543, 1287, 948, 803, 1472, 519, 3484, 2394, 10543, 5144, 532, 942, 1586, 269, 14210, 9489, 513, 3018, 269, 9530, 904, 1055, 1701, 26304, 21330, 269, 1261, 1185, 2760, 1044, 593, 513, 3484, 1354, 267, 855, 646, 3576, 519, 2816, 269, 3245, 519, 4098, 26304, 729, 5701, 3520, 1026, 569, 676, 519, 2898, 1920, 269, 1358, 1500, 1187, 540, 519, 1259, 646, 21039, 543, 14437, 269, 1261, 1223, 798, 4986, 1318, 269, 634, 1208, 712, 1652, 16027, 4749, 4503, 1010, 2191, 267, 10404, 1944, 26304, 585, 519, 13581, 652, 12161 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 11572, 28613, 281, 19484, 519, 28249, 540, 18321, 267, 5295, 267, 543, 26291, 692, 1103, 519, 4207, 1158, 267, 1141, 3909, 9163, 3136, 547, 3337, 2797, 11407, 543, 3609, 267, 606, 6514, 540, 2797, 18381, 568, 1898, 547, 1174, 519, 1950, 16799, 1063, 5132, 267, 6214, 267, 543, 1533, 269, 2311, 519, 2295, 540, 713, 2361, 6013, 519, 2243, 540, 875, 3909, 4978, 543, 2853, 2170, 609, 2797, 3889, 543, 19237, 267, 1419, 4101, 610, 17923, 4540, 1379, 6384, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 14960, 540, 2797, 18381, 998, 519, 7828, 540, 519, 4168, 2245, 267, 5373, 4296, 547, 6626, 2152, 540, 16712, 1143, 267, 12683, 1143, 267, 543, 10350, 269, 1284, 786, 2253, 676, 3695, 519, 1523, 540, 5168, 538, 4984, 267, 4259, 519, 3942, 585, 938, 4901, 593, 2797, 18381, 780, 23871, 3578, 543, 16241, 11310, 454, 10900, 19567, 6524, 25054, 593, 606, 7634, 540, 2797, 18381, 267, 621, 568, 2629, 547, 4497, 609, 519, 2055, 4478, 519, 2470, 540, 5168, 538, 3909, 8658, 269, 1306, 6700, 538, 519, 11000, 21626, 3177, 267, 972, 6818, 513, 8082, 1063, 7311, 519, 1523, 540, 6207, 5168, 547, 4984, 543, 14344, 602, 1480, 1702, 949, 581, 3908, 950, 5466, 21042, 9713, 4145, 269, 1280, 3236, 267, 519, 14418, 1612, 762, 540, 519, 17707, 543, 519, 9420, 2367, 14550, 519, 2856, 602, 1367, 5380, 616, 20244, 3908, 543, 3112, 7001, 519, 30810, 540, 4641, 269, 8616, 267, 1281, 713, 17538, 602, 5275, 3909, 5168, 568, 13777, 850, 286, 2107, 666, 1114, 12496, 30598, 1510, 2258, 908, 519, 7872, 540, 1140, 8724, 9864, 18408, 2496, 4322, 2055, 1831, 3226, 32330, 950, 6236, 519, 1909, 540, 4984, 538, 5935, 2123, 31710, 543, 7104, 9163, 269, 1635, 2502, 609, 891, 9840, 267, 1053, 786, 2744, 513, 4514, 7071, 585, 519, 13857, 2078, 1063, 3909, 3661, 543, 26381, 1670, 6811, 269, 5015, 267, 971, 5717, 1683, 15417, 2666, 585, 14719, 908, 519, 6286, 540, 3909, 5168, 6811, 2390, 2797, 1949, 543, 741, 5817, 1871, 3889, 780, 22146, 640, 781, 19822, 540, 18266, 454, 28598, 2026, 7074, 538, 519, 11000, 21626, 267, 8567, 8188, 513, 29947, 6433, 540, 5168, 538, 2342, 267, 799, 12651, 1271, 2055, 3823, 519, 17356, 540, 3909, 29625, 609, 2413, 7787, 640, 543, 12666, 11180, 3741, 269, 2368, 8044, 602, 519, 3864, 21654, 1788, 814, 27838, 606, 1604, 26617, 2509, 6896, 10764, 1813, 547, 922, 8561, 593, 2601, 543, 12170, 2963, 269, 9182, 267, 1082, 2043, 723, 5828, 2476, 689, 2757, 5132, 2950, 267, 8508, 4244, 5289, 2906, 610, 30739, 7947, 532, 1022, 1106, 540, 16637, 1581, 3661, 1062, 780, 4913, 267, 1866, 25077, 602, 713, 865, 10777, 6433, 568, 8806, 22566, 540, 513, 6521, 538, 3909, 26336, 2864, 982, 606, 26464, 7771, 538, 5132, 269, 11569, 267, 12220, 2303, 602, 1247, 12250, 30901, 1522, 581, 530, 22135, 267, 1719, 538, 5289, 6927, 3788, 2178, 1851, 17417, 269, 5047, 267, 1007, 3029, 540, 4168, 4082, 1107, 971, 607, 1347, 29487, 5322, 543, 4830, 13039, 1107, 3136, 547, 10836, 267, 11744, 6043, 543, 13916, 1369, 519, 2245, 269, 1452, 7835, 20838, 519, 991, 585, 6297, 7156, 540, 1312, 519, 2591, 543, 3255, 6849, 8567, 2221, 780, 9377, 1456, 11572, 28613, 454, 10900, 14945, 4415, 713, 4282, 538, 2247, 267, 649, 1631, 2490, 547, 519, 3844, 1445, 540, 938, 1576, 1770, 281, 2797, 18381, 269, 13575, 6340, 267, 2797, 18381, 4016, 547, 519, 1353, 540, 519, 2081, 538, 799, 3909, 2093, 3310, 2797, 2219, 543, 2259, 267, 607, 1134, 607, 18362, 540, 519, 2797, 7516, 7915, 538, 3909, 5389, 2933, 269, 4014, 2797, 18381, 13315, 1585, 3909, 5389, 267, 938, 3119, 1445, 786, 581, 593, 8567, 1813, 547, 922, 3140, 4644, 543, 4797, 1764, 593, 5375, 2797, 27964, 780, 3080, 9565, 4137, 538, 519, 1646, 540, 2797, 18381, 729, 4436, 29632, 626, 14161, 5576, 18283, 630, 6642, 279, 1700, 2735, 276, 1070, 945, 28020, 3989, 16285, 607, 519, 2702, 547, 6430, 593, 519, 9868, 1107, 1775, 4318, 1421, 8159, 950, 8723, 3656, 8155, 1058, 581, 17735, 1282, 2829, 540, 6595, 269, 4340, 547, 5576, 18283, 267, 713, 3375, 6194, 6392, 26520, 6038, 609, 519, 2797, 6205, 267, 18220, 532, 1018, 646, 17941, 519, 834, 572, 4788, 1242, 24396, 1523, 540, 519, 19988, 1701, 3414, 1010, 960, 267, 5576, 18283, 12006, 519, 15982, 4276, 1063, 24396, 543, 2797, 21384, 267, 19163, 602, 789, 2671, 4909, 10054, 827, 1931, 267, 6392, 267, 543, 26117, 780, 29936, 543, 19662, 540, 11572, 28613, 454, 24801, 13430, 288, 2565, 6278, 609, 2797, 18381, 3091, 1896, 2640, 585, 1053, 4974, 4984, 267, 6214, 267, 543, 1533, 269, 17616, 267, 621, 7512, 8086, 593, 519, 1761, 4539, 540, 10128, 3909, 28975, 883, 2797, 1272, 267, 1519, 9270, 540, 13784, 267, 5126, 267, 543, 7862, 269, 19627, 267, 621, 20217, 16198, 2066, 3309, 3909, 5389, 267, 17766, 1769, 593, 3838, 4145, 543, 28836, 4485, 547, 2797, 7589, 543, 18523, 5539, 269, 7053, 267, 2797, 18381, 2488, 513, 5943, 585, 7421, 13346, 3347, 1063, 3909, 5238, 267, 3540, 2486, 267, 543, 22257, 4703, 267, 7551, 7393, 8223, 540, 5571, 1514, 14759, 780, 4913, 267, 6220, 3909, 16752, 883, 2797, 5188, 849, 6799, 1713, 2591, 269, 1280, 1383, 267, 13253, 949, 8451, 950, 12721, 5168, 6811, 4655, 609, 3964, 3656, 9551, 757, 610, 8471, 1480, 2924, 4441, 269, 3958, 267, 519, 1958, 549, 16670, 540, 3909, 14985, 883, 1857, 3609, 9840, 1223, 5732, 26418, 2390, 1367, 22624, 543, 3970, 2230, 585, 29926, 532, 8369, 269, 4935, 267, 10188, 519, 10167, 540, 5132, 267, 1379, 267, 543, 10350, 7569, 8417, 267, 28858, 267, 543, 5876, 780, 28757, 25684, 540, 11572, 28613, 454, 14343, 13430, 8601, 1373, 12082, 538, 3504, 5931, 543, 5389, 267, 2797, 18381, 25601, 4207, 10083, 1813, 547, 922, 4390, 547, 22113, 10296, 2152, 693, 519, 683, 343, 639, 540, 4984, 267, 6214, 267, 543, 1533, 269, 6333, 267, 585, 3236, 267, 519, 5571, 7521, 1472, 1482, 20967, 7365, 543, 11806, 266, 2924, 267, 13296, 3909, 7440, 4749, 4183, 30326, 7258, 22587, 547, 13338, 20038, 543, 3160, 2126, 896, 1876, 269, 6684, 267, 5717, 7282, 16377, 1569, 5781, 1045, 5803, 5837, 10850, 6537, 689, 1585, 5132, 5389, 267, 635, 2364, 908, 3646, 547, 12446, 693, 13618, 2861, 3435, 780, 11101, 267, 2518, 2621, 971, 607, 519, 4473, 540, 9099, 17119, 1143, 543, 2404, 23786, 7526, 5031, 519, 13766, 540, 21679, 609, 519, 1950, 4205, 1063, 3909, 19237, 543, 2797, 989, 31789, 269, 1635, 2502, 609, 2797, 18381, 267, 1053, 666, 11349, 513, 13857, 1620, 540, 891, 9259, 267, 9301, 519, 15491, 18144, 6117, 11051, 7722, 538, 10795, 9620, 936, 8513, 267, 2200, 267, 543, 3961, 780, 6962, 454, 29603, 9961, 713, 1576, 1770, 267, 649, 723, 8268, 519, 1523, 540, 2797, 18381, 1369, 519, 2796, 540, 8567, 267, 9878, 1880, 3007, 547, 922, 4296, 609, 4207, 9840, 4478, 5168, 6811, 267, 16712, 1436, 267, 543, 12683, 1143, 269, 13966, 2515, 3246, 1053, 609, 13654, 1702, 540, 1883, 6436, 543, 17024, 267, 938, 5717, 6322, 547, 6536, 2565, 3206, 1983, 2556, 585, 2502, 538, 5483, 7391, 827, 519, 5107, 543, 9021, 540, 3909, 2950, 1471, 268, 14504, 23724, 2797, 1949, 543, 6848, 2418, 269, 11086, 267, 30015, 13951, 609, 606, 1620, 540, 2797, 18381, 6087, 811, 7347, 9382, 540, 519, 2479, 21608, 5251, 693, 519, 8818, 540, 5132, 267, 1379, 267, 543, 10350, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 18266, 540, 8567, 454, 320, 17976, 2016, 593, 5437, 476, 2767, 267, 476, 1960, 280, 267, 693, 519, 2160, 540, 29813, 2548, 928, 454, 4263, 519, 1439, 540, 519, 2034, 26992, 267, 8567, 9060, 3294, 538, 7096, 6433, 538, 519, 1360, 1747, 540, 922, 3312, 23425, 267, 538, 2342, 269, 898, 568, 513, 6433, 3361, 676, 8969, 540, 922, 3409, 547, 519, 5168, 269, 901, 6433, 814, 513, 12242, 10155, 281, 519, 1101, 5051, 1202, 11962, 2243, 568, 2436, 621, 568, 1318, 267, 538, 519, 3803, 2079, 267, 547, 4019, 519, 10206, 540, 5168, 547, 4984, 282, 538, 824, 1913, 267, 2436, 621, 568, 1369, 812, 779, 1379, 547, 917, 519, 5168, 538, 519, 7453, 2631, 827, 2696, 543, 1919, 10143, 269, 12634, 812, 7959, 1454, 811, 693, 1753, 609, 519, 14418, 1612, 762, 540, 519, 17707, 543, 519, 9420, 812, 269, 589, 4622, 540, 7187, 3127, 2899, 10356, 782, 519, 9420, 1004, 540, 519, 2749, 1927, 269, 3973, 267, 646, 1185, 606, 17707, 3366, 538, 4395, 540, 873, 269, 1261, 1577, 930, 5905, 519, 2212, 543, 1767, 281, 968, 1607, 568, 606, 17707, 6100, 11524, 941, 2111, 547, 5905, 519, 10772, 610, 519, 512, 639, 802, 267, 519, 17657, 267, 922, 1394, 267, 922, 3723, 267, 922, 1166, 3471, 267, 519, 24827, 593, 922, 2766, 269, 3973, 519, 4622, 4280, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 11823, 28613, 257, 607, 851, 540, 834, 32628, 1315, 15215, 267, 15348, 1299, 3557, 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, 272, 281, 4985, 547, 32017, 543, 8950, 3163, 692, 5331, 1373, 2111, 547, 1711, 707, 1378, 3381, 3756, 267, 1374, 7270, 267, 610, 1256, 1020, 1007, 6049, 8924, 256, 901, 568, 782, 2009, 998, 8193, 543, 2780, 2257, 1107, 4610, 4904, 609, 11995, 7399, 543, 3255, 585, 5876, 780, 1103, 2241, 2474, 267, 8193, 568, 899, 4758, 5528, 547, 513, 2780, 1210, 2027, 4654, 1572, 5752, 4654, 269, 6056, 540, 621, 607, 952, 596, 941, 3450, 513, 3659, 875, 547, 27106, 513, 14735, 269, 1411, 1131, 2995, 873, 1900, 8386, 9912, 1018, 5820, 789, 991, 267, 875, 1279, 547, 3575, 3388, 1927, 267, 543, 693, 1018, 2837, 547, 3434, 519, 14735, 269, 6684, 267, 13798, 619, 2328, 3515, 540, 3009, 10213, 5904, 4010, 1018, 3527, 547, 1685, 780, 20663, 2257, 4422, 3564, 1175, 17511, 12981, 282, 621, 3322, 1620, 6620, 630, 320, 1592, 540, 3652, 547, 4194, 2042, 1070, 1239, 3889, 630, 1811, 547, 10891, 1344, 1070, 543, 1966, 9010, 2994, 269, 1635, 1565, 891, 2035, 267, 649, 666, 1628, 1950, 1949, 971, 607, 3406, 9817, 267, 1514, 2923, 5867, 267, 543, 811, 2439, 7078, 281, 2913, 781, 2119, 513, 2241, 3635, 269, 5994, 596, 1616, 547, 4051, 513, 8773, 547, 1847, 2066, 513, 4055, 269, 3689, 267, 596, 1131, 6430, 593, 519, 3268, 2877, 1384, 272, 269, 8844, 4464, 454, 273, 269, 12414, 2451, 454, 274, 269, 19244, 3268, 476, 272, 543, 476, 273, 2394, 8757, 519, 824, 2427, 540, 519, 4055, 692, 3086, 1577, 781, 14377, 713, 883, 5124, 267, 513, 2442, 5752, 1893, 1384, 3499, 7090, 454, 6112, 6936, 912, 825, 1948, 8844, 4464, 454, 825, 8773, 6230, 913, 4590, 8931, 825, 1948, 6744, 952, 972, 781, 513, 3774, 538, 4395, 454, 825, 952, 8773, 8807, 3224, 318, 529, 318, 27234, 10031, 1038, 3136, 22562, 825, 1948, 1403, 972, 781, 513, 3774, 267, 2490, 1472, 543, 979, 1394, 454, 825, 8773, 6745, 1248, 318, 3847, 4590, 825, 8773, 6230, 913, 4590, 825, 8773, 6745, 1248, 318, 2431, 4590, 8931, 825, 1948, 17547, 3001, 2899, 6603, 519, 824, 2427, 454, 825, 952, 8773, 269, 520, 318, 2998, 531, 10031, 1038, 2736, 454, 7884, 1607, 1383, 9727, 2596, 3741, 540, 8193, 267, 1519, 17787, 630, 1492, 2387, 6112, 319, 3948, 264, 543, 19585, 6898, 630, 3697, 2387, 604, 319, 1040, 1306, 596, 3356, 538, 707, 3460, 998, 2780, 2257, 267, 596, 786, 1451, 1082, 811, 3532, 2645, 543, 2553, 547, 3142, 707, 2093, 547, 1272, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7049, 3780, 281, 634, 3690, 326, 1833, 676, 7261, 1492, 9418, 454, 7072, 24314, 14408, 2022, 2637, 3780, 281, 634, 3690, 326, 1833, 454, 5970, 596, 2479, 4941, 547, 1404, 513, 14834, 10196, 538, 519, 2622, 540, 14730, 1145, 286, 25126, 13085, 855, 21739, 18633, 267, 29681, 7543, 9909, 602, 3100, 547, 1219, 344 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2652, 1412, 337, 12466, 825, 1820, 28949, 560, 2803, 994, 476, 8640, 5079, 2652, 1412, 340, 12466, 825, 585, 4994, 267, 1871, 538, 26246, 263, 560, 2803, 2187, 8587, 1820, 263, 8161, 266, 272, 267, 1871, 994, 825, 9337, 16229, 815, 703, 9272, 3488, 10938, 519, 2990, 579, 1616, 547, 1118, 1689, 29125, 825, 9337, 19056, 815, 3403, 3488, 10938, 1007, 1871, 5073, 825, 8637, 314, 26303, 16229, 268, 272, 316, 815, 9337, 19056, 454, 825, 1820, 28949, 560, 2803, 994, 476, 8640, 5079, 2652, 1412, 323, 12466, 825, 585, 4994, 267, 1871, 538, 26246, 263, 560, 2803, 2187, 8587, 1820, 263, 8161, 266, 272, 267, 1871, 994, 825, 18419, 16229, 815, 703, 9272, 3488, 10938, 519, 2990, 579, 1616, 547, 18419, 29125, 825, 8637, 21014, 263, 1372, 8541, 16229, 268, 272, 994, 825, 1820, 28949, 560, 2803, 994, 476, 3116, 912, 825, 2736 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26084, 513, 21549, 1268, 781, 7221, 267, 849, 1634, 607, 10040, 7245, 267, 666, 581, 513, 1950, 543, 1419, 3929, 4305, 269, 901, 3184, 786, 1445, 593, 2625, 622, 543, 10040, 7245, 267, 3246, 606, 538, 3829, 1413, 883, 519, 3656, 3344, 4478, 713, 1858, 540, 3540, 1876, 269, 3414, 6297, 6514, 540, 1883, 2035, 971, 607, 519, 1909, 540, 519, 4291, 12460, 267, 519, 2956, 540, 2348, 513, 4570, 786, 267, 543, 10188, 13882, 998, 2625, 622, 25036, 267, 596, 786, 2744, 513, 4396, 5748, 538, 2625, 622, 543, 10040, 7245, 780, 2862, 269, 634, 10020, 540, 519, 13079, 12460, 692, 4263, 519, 4295, 540, 1022, 2625, 622, 543, 10040, 7245, 1184, 6013, 519, 4137, 540, 519, 4291, 12460, 630, 10193, 5219, 547, 607, 519, 2123, 11347, 1040, 2561, 31212, 2901, 676, 519, 632, 1027, 550, 3842, 741, 2063, 786, 543, 15266, 610, 11280, 676, 519, 5480, 950, 972, 568, 1100, 786, 267, 519, 4291, 12460, 4249, 513, 2629, 1909, 538, 4180, 602, 519, 16858, 540, 519, 21549, 616, 5645, 856, 2687, 547, 741, 3803, 1463, 1161, 780, 2750, 1815, 12460, 11645, 3335, 4125, 11018, 782, 7221, 11262, 676, 519, 632, 1027, 550, 267, 9878, 1055, 22440, 7640, 539, 676, 519, 10040, 267, 25937, 3454, 7024, 267, 543, 6038, 26084, 6967, 7221, 1851, 18689, 25808, 3957, 538, 519, 786, 269, 9717, 519, 6213, 2470, 540, 891, 4247, 543, 1761, 7526, 1063, 3238, 6105, 267, 621, 568, 1898, 602, 519, 12912, 4291, 12460, 17358, 1312, 741, 9021, 543, 7687, 896, 519, 1876, 780, 7656, 269, 11957, 540, 11109, 513, 4406, 573, 4024, 692, 3080, 2565, 2460, 540, 2625, 622, 543, 10040, 4058, 3322, 2870, 513, 16155, 11006, 3561, 9789, 2063, 786, 543, 15266, 20196, 14592, 875, 519, 1367, 6499, 741, 7221, 7856, 1310, 2669, 269, 589, 1134, 1673, 2761, 539, 786, 6971, 13509, 3823, 10697, 3892, 543, 24024, 22686, 4655, 1282, 1018, 568, 2907, 606, 14156, 4101, 1974, 269, 3958, 267, 1058, 5634, 1453, 581, 2451, 3297, 267, 25330, 1222, 1374, 725, 1369, 519, 786, 1683, 2312, 5583, 593, 945, 4927, 1416, 585, 873, 780, 4913, 267, 2591, 949, 8451, 952, 519, 786, 1281, 711, 2743, 1978, 7355, 2838, 585, 1850, 1275, 282, 3976, 267, 17021, 621, 23380, 269, 1280, 1383, 267, 2829, 899, 18518, 23626, 1808, 6101, 885, 1519, 1697, 11056, 630, 338, 793, 2137, 543, 22168, 264, 543, 3280, 1145, 540, 2247, 2390, 5137, 269, 4197, 891, 4170, 5849, 707, 1378, 786, 781, 17997, 1464, 1247, 30015, 596, 547, 18973, 7218, 3927, 827, 741, 10040, 4566, 780, 4353, 269, 19484, 2598, 1584, 525, 3414, 11525, 622, 22175, 12720, 692, 10214, 609, 22111, 4058, 267, 22195, 10838, 646, 15077, 610, 5491, 832, 949, 28173, 759, 15659, 547, 2625, 622, 25036, 269, 5871, 2152, 3056, 547, 971, 13882, 7854, 2055, 936, 519, 13597, 540, 519, 786, 3294, 267, 31482, 540, 3768, 826, 3310, 25116, 1282, 922, 26004, 267, 610, 4145, 3823, 25314, 534, 1771, 540, 7482, 676, 519, 4291, 12460, 780, 2691, 5185, 609, 1543, 542, 267, 25019, 3587, 513, 3407, 1907, 585, 20547, 3604, 993, 545, 2406, 3544, 540, 5480, 269, 1717, 267, 3006, 4693, 3587, 17149, 267, 8506, 18164, 8480, 5827, 540, 14957, 26490, 1947, 2943, 31719, 269, 19361, 1436, 609, 2199, 3652, 12044, 5650, 267, 2963, 6881, 267, 543, 24675, 540, 6169, 28382, 9439, 547, 2099, 7218, 2841, 1836, 2429, 1396, 16406, 18659, 780, 309, 269, 10765, 12367, 1299, 3763, 906, 692, 2026, 6848, 8155, 11457, 267, 865, 798, 8456, 2509, 1439, 6361, 3734, 4058, 543, 5763, 4483, 2409, 269, 7913, 7221, 1459, 1007, 9270, 585, 1609, 919, 267, 20872, 15424, 6114, 6322, 693, 5587, 4328, 9562, 2924, 543, 1569, 10873, 2022, 21065, 3585, 269, 5015, 267, 4657, 22097, 3565, 547, 3395, 1719, 538, 4244, 15539, 6571, 6127, 3358, 547, 13918, 3309, 2686, 5380, 543, 7375, 269, 853, 11691, 32448, 540, 891, 10593, 6087, 4648, 5665, 1369, 2625, 622, 543, 10040, 7245, 547, 2611, 4143, 543, 2500, 538, 2221, 781, 6422, 5251, 780, 9654, 269, 10390, 692, 4407, 7231, 609, 519, 2530, 540, 513, 6068, 835, 568, 2760, 2653, 267, 9952, 12445, 540, 2625, 622, 543, 10040, 7245, 3091, 4313, 9624, 14784, 269, 1635, 26762, 4909, 3741, 971, 607, 519, 5107, 540, 4291, 12781, 267, 13766, 540, 4570, 786, 338, 267, 543, 7829, 13882, 267, 4648, 4196, 607, 22225, 540, 1489, 1282, 3843, 2053, 269, 1306, 938, 2486, 5170, 547, 6521, 543, 3082, 267, 9363, 5483, 540, 6932, 3466, 18715, 4797, 17284, 538, 7674, 1346, 1303, 27434, 547, 721, 1369, 519, 7706, 540, 2625, 622, 543, 10040, 7245, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10666, 7338, 2142, 17507, 454, 24171, 631, 269, 2142, 17507, 568, 606, 18607, 693, 2142, 17507, 1261, 604, 1676, 645, 3188, 623, 6993, 269, 609, 936, 1614, 5756, 540, 3656, 1995, 269, 2368, 540, 1010, 1082, 2259, 2127, 1331, 912, 268, 6406, 25036, 543, 2123, 5945, 454, 268, 11525, 622, 543, 24529, 10029, 543, 24529, 12020, 454, 268, 6355, 1876, 543, 25036, 454, 268, 11525, 622, 22175, 12720, 543, 2598, 1584, 525, 454, 16031, 269, 2142, 17507, 568, 513, 3810, 8179, 8584, 1123, 18607, 538, 4095, 24550, 543, 18722, 269, 1261, 814, 25189, 4567, 607, 513, 8274, 26133, 18518, 11565, 543, 24529, 4521, 9807, 267, 513, 4567, 602, 646, 6913, 1813, 547, 1010, 3573, 1995, 267, 3950, 2594, 540, 1967, 267, 543, 11428, 547, 1010, 7218, 563, 16031, 269, 2142, 17507, 729, 513, 15197, 18607, 1279, 1354, 646, 8547, 2142, 17507, 1261, 604, 1676, 645, 3188, 623, 6993, 269, 769, 476, 1220, 273, 267, 646, 4646, 2142, 17507, 4521, 8433, 267, 513, 1876, 6109, 602, 6035, 513, 2647, 2039, 540, 3656, 2533, 547, 2043, 543, 4213, 269, 3767, 267, 646, 568, 10583, 547, 581, 513, 851, 540, 519, 16805, 2319, 540, 27192, 693, 2142, 17507, 1261, 604, 1676, 645, 3188, 623, 6993, 563, 1103, 1010, 1863, 942, 267, 6004, 269, 2142, 17507, 21593, 4758, 1394, 547, 519, 2146, 543, 7836, 942, 609, 1010, 15962, 1920, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23536, 622, 543, 24529, 10029, 257, 607, 851, 540, 834, 30311, 1315, 6406, 4521, 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, 6092, 5149, 281, 834, 763, 5295, 540, 4563, 1323, 1105, 1143, 281, 10435, 513, 16338, 15907, 519, 2622, 5016, 5970, 596, 2479, 4862, 540, 606, 8944, 286, 898, 781, 711, 1175, 827, 14784, 543, 9552, 256, 1323, 8944, 2965, 1797, 834, 23719, 17710, 2437, 543, 621, 781, 513, 1826, 540, 2797, 2219, 602, 11099, 1004, 666, 10891, 2933, 543, 2661, 25747, 1510, 513, 2229, 10213, 873, 1018, 547, 798, 269, 10801, 1686, 267, 1082, 2516, 540, 1004, 723, 13736, 741, 1378, 8747, 540, 606, 8944, 269, 4653, 267, 649, 786, 1451, 827, 513, 2027, 1895, 1572, 4563, 29450, 1235, 945, 723, 1500, 1713, 7418, 547, 1271, 3123, 5001, 780, 5575, 267, 1577, 781, 1174, 1018, 649, 1611, 676, 834, 14937, 29450, 1235, 1701, 901, 2165, 4016, 547, 2043, 945, 2697, 609, 1312, 519, 4550, 27236, 9107, 3741, 540, 29450, 1143, 543, 519, 2833, 543, 9620, 5185, 676, 4563, 1004, 1813, 547, 11528, 10168, 269, 1358, 2097, 1927, 547, 4339, 1996, 15746, 543, 1628, 1732, 2950, 1759, 593, 7862, 267, 5191, 267, 543, 5126, 780, 3086, 267, 4952, 513, 942, 950, 8723, 1004, 3576, 1852, 540, 741, 2729, 543, 5249, 1927, 547, 1711, 513, 1007, 2486, 269, 2334, 781, 4010, 1018, 5949, 1282, 519, 5053, 6406, 2782, 267, 799, 3576, 1747, 1063, 476, 4350, 277, 543, 476, 4350, 280, 269, 4438, 713, 1974, 267, 5053, 4600, 543, 6705, 4956, 789, 4941, 547, 1689, 741, 2197, 585, 519, 1732, 269, 2060, 519, 948, 540, 29450, 1235, 267, 789, 3323, 2870, 741, 4528, 540, 513, 1863, 1158, 1510, 7996, 585, 10479, 689, 519, 2229, 780, 3080, 4241, 2460, 540, 713, 1650, 568, 519, 9525, 540, 4563, 29450, 1235, 269, 4014, 972, 14201, 1405, 1082, 1134, 8153, 3283, 693, 519, 942, 267, 789, 1869, 1185, 513, 9645, 1764, 593, 519, 3350, 269, 1280, 1383, 267, 1491, 513, 1413, 693, 519, 4605, 2630, 6029, 513, 12703, 25142, 689, 519, 25234, 684, 514, 4446, 13715, 538, 30209, 267, 8050, 267, 538, 476, 4350, 277, 269, 2701, 4564, 519, 6891, 540, 4563, 29450, 1143, 267, 1256, 952, 1352, 1522, 711, 723, 4857, 9887, 602, 1259, 269, 4173, 4527, 8711, 875, 4563, 29450, 1235, 941, 851, 540, 519, 2518, 29450, 626, 2146, 267, 1818, 26058, 2509, 2318, 2242, 5103, 6849, 2189, 2591, 1317, 540, 741, 3961, 780, 314, 25147, 3239, 1934, 281, 589, 4759, 540, 519, 25234, 684, 514, 4446, 13715, 538, 30209, 267, 8050, 267, 476, 4350, 277, 269, 6540, 9961, 1686, 267, 4563, 29450, 1235, 723, 1044, 3238, 538, 782, 12204, 540, 11121, 5322, 8165, 585, 14619, 543, 3160, 2924, 269, 2368, 8037, 1806, 1331, 4074, 16716, 1141, 4600, 18796, 1732, 13848, 543, 2324, 2175, 267, 3646, 5885, 7115, 585, 32519, 6082, 267, 11044, 14957, 585, 4557, 1218, 262, 2924, 865, 3025, 1223, 6488, 513, 2922, 1753, 267, 7341, 5009, 7890, 6963, 543, 4543, 1346, 4299, 676, 23948, 566, 267, 543, 3527, 14027, 11806, 266, 2924, 20678, 585, 2463, 543, 10343, 585, 782, 780, 3383, 1946, 1281, 1620, 4563, 29450, 1143, 2339, 585, 721, 2221, 286, 1635, 1565, 827, 891, 29752, 2043, 543, 741, 10781, 267, 649, 5431, 602, 4896, 1765, 7224, 2339, 741, 4282, 610, 6381, 1765, 4754, 1118, 513, 3017, 538, 519, 1158, 269, 1284, 849, 1294, 875, 3309, 5380, 10802, 938, 1620, 540, 29450, 1143, 543, 922, 1761, 547, 3142, 827, 6209, 6848, 7004, 269, 1306, 2104, 3401, 267, 6616, 827, 4563, 29450, 1143, 16877, 721, 547, 3136, 2679, 13123, 1063, 1114, 2950, 543, 5807, 13784, 267, 6568, 267, 543, 9322, 538, 938, 3460, 4724, 513, 1954, 518, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14937, 14986, 1323, 1105, 626, 18966, 454, 14937, 1323, 1105, 1143, 281, 589, 24153, 454, 7072, 1107, 4563, 14986, 1323, 1105, 626, 18966, 454, 1103, 519, 27763, 14099, 540, 29450, 626, 1686, 267, 1906, 2621, 3138, 558, 607, 1804, 607, 519, 5053, 6406, 2782, 630, 4350, 277, 1700, 4350, 280, 1040, 4032, 1652, 2835, 267, 8874, 267, 8964, 267, 30732, 7410, 267, 16181, 267, 512, 6879, 16630, 267, 543, 811, 616, 1318, 2685, 13991, 547, 713, 13710, 6560, 585, 1514, 4838, 676, 5053, 4600, 543, 27998, 269, 1809, 20857, 998, 519, 7823, 540, 2139, 1570, 267, 2370, 666, 581, 1336, 593, 3109, 17740, 1218, 538, 519, 5053, 4838, 267, 899, 519, 835, 12286, 538, 519, 3532, 8666, 593, 519, 3382, 540, 713, 5467, 2443, 513, 4759, 540, 519, 25234, 684, 514, 4446, 13715, 538, 30209, 267, 8050, 476, 4350, 277, 267, 543, 513, 3090, 540, 1312, 519, 7096, 4527, 543, 9000, 540, 4563, 29450, 1143, 18368, 563, 2690, 811, 982, 476, 5611, 1296, 267, 3109, 29450, 1235, 723, 5129, 513, 2565, 1909, 538, 5935, 1585, 9620, 1472, 519, 8608, 267, 1519, 2527, 16716, 267, 3084, 19802, 5322, 267, 4557, 656, 12180, 267, 26956, 17604, 267, 20210, 19802, 267, 519, 5250, 540, 14628, 536, 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, 277, 281, 19901, 10263, 910, 4197, 519, 932, 7860, 1284, 5269, 692, 296, 269, 4985, 692, 5970, 596, 2479, 9289, 1946, 1004, 1118, 1978, 5079, 950, 621, 2501, 547, 741 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 2039, 630, 271, 267, 2004, 2187, 8931, 1038, 1820, 2891, 2411, 955, 8138, 339, 3555, 1366, 9339, 268, 5602, 8931, 1363, 3097, 1038, 28219, 284, 703, 263, 12690, 27110, 263, 1911, 876, 267, 1911, 1822, 4917, 1038, 28219, 4671, 6851, 284, 703, 263, 12690, 27110, 263, 1911, 876, 267, 1911, 1822, 4917, 13872, 1038, 952, 28219, 3436, 28219, 4671, 6851, 912, 13872, 2018, 2626, 4671, 6851, 815, 28219, 910, 28219, 4671, 6851, 454, 2018, 1820, 263, 8681, 267, 29038, 2580, 28219, 4671, 6851, 267, 834, 284, 286, 5602, 2018, 2638, 318, 29798, 318, 663, 318, 1326, 4671, 1335, 263, 716, 783, 24987, 994, 8931, 8931, 2018, 952, 28219, 2999, 28219, 4671, 6851, 912, 3546, 1820, 2891, 307, 4459, 2243, 281, 5602, 13872, 3546, 2626, 4671, 6851, 815, 28219, 910, 28219, 4671, 6851, 454, 3546, 1820, 263, 8681, 267, 29038, 2580, 28219, 4671, 6851, 267, 834, 284, 286, 5602, 3546, 2638, 318, 29798, 318, 663, 318, 1326, 4671, 1335, 263, 716, 783, 24987, 994, 4449, 454, 825, 952, 530, 13843, 1015, 912, 1038, 1820, 2891, 296, 6415, 865, 800, 267, 649, 1590, 798, 713, 1377, 1586, 23528, 1038, 1820, 2891, 10303, 596, 1185, 14307, 530, 2073, 834, 342, 3994, 23528, 1038, 1377, 572, 1597, 4590, 13872, 825, 952, 530, 2999, 476, 1015, 912, 1038, 1820, 2891, 301, 823, 2816, 256, 1411, 616, 1631, 606, 3227, 648, 337, 3079, 540, 4622, 256, 5426, 476, 279, 32405, 1038, 682, 557, 548, 697, 4590, 8931, 3698, 682, 557, 548, 697, 263, 2567, 8931, 825, 1820, 2891, 25275, 2525, 284, 25583, 476, 279, 815, 25275, 13117, 5602, 8931, 825, 1820, 2891, 1607, 568, 2469, 547, 1205, 9875, 1862, 853, 4958, 577, 543, 1694, 2786, 256, 2913, 781, 979, 23528, 825, 1820, 2891, 2411, 3849, 1288, 2411, 955, 5602, 825, 585, 1775, 538, 2039, 263, 271, 267, 1911, 2187, 13872, 1038, 28219, 284, 703, 263, 12690, 27110, 263, 1911, 1822, 267, 1911, 1822, 271, 4917, 1038, 28219, 4671, 6851, 284, 703, 263, 12690, 27110, 263, 1911, 1822, 267, 1911, 1822, 271, 4917, 13872, 1038, 4890, 24987, 815, 28219, 1341, 28219, 4671, 6851, 22562, 1038, 1820, 263, 8681, 267, 834, 266, 2580, 8681, 4671, 6851, 267, 834, 284, 286, 5602, 1038, 2638, 318, 29798, 318, 663, 318, 1326, 4671, 1335, 263, 716, 783, 24987, 2020, 825, 1820, 2891, 2411, 955, 25648, 6473, 2411, 9339, 268, 5602, 825, 585, 1775, 538, 2039, 263, 271, 267, 1015, 2187, 1363, 3097, 1038, 28219, 815, 703, 263, 12690, 27110, 263, 1911, 1822, 267, 1911, 1822, 271, 4917, 1038, 28219, 4671, 6851, 815, 703, 263, 12690, 27110, 263, 1911, 1822, 267, 1911, 1822, 271, 4917, 8931, 1038, 4890, 24987, 476, 815, 28219, 2608, 28219, 4671, 6851, 22562, 1038, 1820, 263, 28219, 267, 834, 265, 2580, 28219, 4671, 6851, 267, 834, 284, 286, 5602, 1038, 2638, 318, 29798, 318, 663, 318, 1326, 4671, 1335, 263, 716, 783, 24987, 994, 13872, 825, 1820, 2891, 2411, 955, 8138, 339, 3555, 1366, 9339, 268, 8442, 672, 3097, 825, 585, 1775, 538, 2039, 630, 271, 267, 2004, 2187, 1363, 3097, 1038, 28219, 284, 703, 263, 12690, 27110, 263, 1911, 1822, 267, 1911, 1822, 271, 4917, 1038, 28219, 4671, 6851, 284, 703, 263, 12690, 27110, 263, 1911, 1822, 267, 1911, 1822, 271, 4917, 13872, 1038, 952, 28219, 3436, 28219, 4671, 6851, 912, 2018, 4890, 24987, 815, 28219, 910, 28219, 4671, 6851, 454, 2018, 1820, 263, 8681, 267, 29038, 2580, 28219, 4671, 6851, 267, 834, 284, 286, 5602, 2018, 2638, 318, 29798, 318, 663, 318, 1326, 4671, 1335, 263, 716, 783, 24987, 994, 8931, 8931, 1038, 952, 28219, 2999, 28219, 4671, 6851, 912, 2018, 1820, 2891, 307, 4459, 2243, 281, 5602, 13872, 2018, 4890, 24987, 815, 28219, 910, 28219, 4671, 6851, 454, 2018, 1820, 263, 8681, 267, 29038, 2580, 28219, 4671, 6851, 267, 834, 284, 286, 5602, 2018, 2638, 318, 29798, 318, 663, 318, 1326, 4671, 1335, 263, 716, 783, 24987, 994, 27030, 825, 952, 530, 13843, 476, 1321, 912, 1038, 1820, 2891, 296, 6415, 865, 800, 267, 649, 1590, 798, 713, 1377, 1586, 23528, 1038, 1820, 2891, 10303, 596, 1185, 14307, 530, 2073, 834, 342, 3994, 23528, 1038, 682, 557, 548, 697, 4590, 13872, 825, 952, 530, 283, 476, 1321, 912, 1038, 1820, 2891, 19102, 323, 1043, 256, 2913, 721, 1847, 593, 547, 10371, 1862, 5426, 476, 280, 32405, 1038, 1377, 333, 710, 10797, 3698, 1377, 333, 710, 10031, 825, 1820, 2891, 25275, 284, 25583, 476, 280, 815, 25275, 13117, 4499, 2525, 5602, 8931, 825, 1820, 2891, 29909, 547, 519, 1439, 30314, 5602, 825, 1820, 2891, 2411, 3849, 1288, 2411, 955, 5602, 825, 585, 1775, 538, 2039, 263, 271, 267, 1911, 2187, 13872, 1038, 28219, 284, 703, 263, 12690, 27110, 263, 1911, 1822, 271, 267, 1911, 1822, 876, 4917, 1038, 28219, 4671, 6851, 284, 703, 263, 12690, 27110, 263, 1911, 1822, 271, 267, 1911, 1822, 876, 4917, 13872, 1038, 4890, 24987, 815, 28219, 1341, 28219, 4671, 6851, 22562, 1038, 1820, 263, 8681, 267, 834, 266, 2580, 8681, 4671, 6851, 267, 834, 284, 286, 5602, 1038, 2638, 318, 29798, 318, 663, 318, 1326, 4671, 1335, 263, 716, 783, 24987, 2020, 825, 1820, 2891, 2411, 955, 25648, 6473, 2411, 9339, 268, 5602, 825, 585, 1775, 538, 2039, 263, 271, 267, 1015, 2187, 1363, 3097, 1038, 28219, 815, 703, 263, 12690, 27110, 263, 1911, 1822, 271, 267, 1911, 1822, 876, 4917, 1038, 28219, 4671, 6851, 815, 703, 263, 12690, 27110, 263, 1911, 1822, 271, 267, 1911, 1822, 876, 4917, 8931, 1038, 4890, 24987, 284, 28219, 2608, 28219, 4671, 6851, 22562, 1038, 1820, 263, 28219, 267, 834, 265, 2580, 28219, 4671, 6851, 267, 834, 284, 286, 5602, 1038, 2638, 318, 29798, 318, 663, 318, 1326, 4671, 1335, 263, 716, 783, 24987, 994, 13872, 825, 1820, 2891, 1366, 9339, 268, 8138, 339, 3555, 476, 5785, 955, 8442, 13872, 825, 585, 1775, 538, 2039, 630, 271, 267, 2004, 2187, 1363, 3097, 1038, 28219, 284, 703, 263, 12690, 27110, 263, 1911, 1822, 271, 267, 1911, 1822, 876, 4917, 1038, 28219, 4671, 6851, 284, 703, 263, 12690, 27110, 263, 1911, 1822, 271, 267, 1911, 1822, 876, 4917, 13872, 1038, 952, 28219, 3436, 28219, 4671, 6851, 912, 13872, 2018, 2626, 4671, 6851, 815, 28219, 910, 28219, 4671, 6851, 454, 2018, 1820, 263, 8681, 267, 29038, 2580, 28219, 4671, 6851, 267, 834, 284, 286, 5602, 2018, 2638, 318, 29798, 318, 663, 318, 1326, 4671, 1335, 263, 716, 783, 24987, 994, 8931, 8931, 1038, 952, 28219, 2999, 28219, 4671, 6851, 912, 2018, 1820, 2891, 307, 4459, 2243, 281, 5602, 13872, 2018, 2626, 4671, 6851, 815, 28219, 910, 28219, 4671, 6851, 454, 2018, 1820, 263, 8681, 267, 29038, 2580, 28219, 4671, 6851, 267, 834, 284, 286, 5602, 2018, 2638, 318, 29798, 318, 663, 318, 1326, 4671, 1335, 263, 716, 783, 24987, 994, 27030, 825, 952, 530, 13843, 476, 1724, 912, 1038, 1820, 2891, 296, 6415, 865, 800, 267, 649, 1590, 798, 713, 1377, 1586, 23528, 1038, 1820, 2891, 10303, 596, 1185, 14307, 530, 2073, 834, 342, 3994, 23528, 1038, 1377, 333, 710, 4590, 13872, 825, 952, 530, 2999, 476, 1724, 912, 1038, 1820, 2891, 6865, 294, 256, 1411, 616, 538, 519, 2063, 543, 3803, 1377, 269, 898, 786, 1449, 596, 899, 1100, 824, 269, 20553, 9291, 687, 269, 5426, 476, 1015, 8627, 5602, 1038, 1377, 1084, 10797, 3698, 1377, 1084, 630, 2187, 825, 1820, 2891, 25275, 2525, 284, 25583, 476, 1015, 815, 25275, 13117, 2525, 5602, 8931, 825, 1820, 2891, 12648, 513, 7362, 256, 898, 786, 4161, 596, 269, 19515, 8931, 825, 1820, 2891, 2411, 3849, 1288, 2411, 955, 5602, 825, 585, 1775, 538, 2039, 263, 271, 267, 1911, 2187, 13872, 1038, 28219, 284, 703, 263, 12690, 27110, 263, 271, 267, 1911, 1822, 1822, 271, 4917, 1038, 28219, 4671, 6851, 284, 703, 263, 12690, 27110, 263, 271, 267, 1911, 1822, 1822, 271, 4917, 13872, 1038, 4890, 24987, 815, 28219, 1341, 28219, 4671, 6851, 22562, 1038, 1820, 263, 8681, 267, 834, 266, 2580, 8681, 4671, 6851, 267, 834, 284, 286, 5602, 1038, 2638, 318, 29798, 318, 663, 318, 1326, 4671, 1335, 263, 716, 783, 24987, 2020, 692, 825, 1820, 2891, 2411, 955, 25648, 6473, 2411, 9339, 268, 5602, 825, 585, 1775, 538, 2039, 263, 271, 267, 1015, 2187, 1363, 3097, 1038, 28219, 815, 703, 263, 12690, 27110, 263, 271, 267, 1911, 1822, 1822, 271, 4917, 1038, 28219, 4671, 6851, 815, 703, 263, 12690, 27110, 263, 271, 267, 1911, 1822, 1822, 271, 4917, 8931, 1038, 4890, 24987, 476, 815, 28219, 2608, 28219, 4671, 6851, 22562, 1038, 1820, 263, 28219, 267, 834, 265, 2580, 28219, 4671, 6851, 267, 834, 284, 286, 5602, 1038, 2638, 318, 29798, 318, 663, 318, 1326, 4671, 1335, 263, 716, 783, 24987, 994, 13872, 13872, 825, 1820, 2891, 2411, 955, 8138, 339, 3555, 1366, 9339, 268, 8442, 13872, 825, 585, 1775, 538, 2039, 630, 271, 267, 2004, 2187, 8931, 1363, 3097, 1038, 28219, 284, 703, 263, 12690, 27110, 263, 271, 267, 1911, 1822, 1822, 271, 4917, 1038, 28219, 4671, 6851, 284, 703, 263, 12690, 27110, 263, 271, 267, 1911, 1822, 1822, 271, 4917, 13872, 1038, 952, 28219, 3436, 28219, 4671, 6851, 912, 13872, 2018, 4890, 24987, 815, 28219, 910, 28219, 4671, 6851, 454, 2018, 1820, 263, 8681, 267, 29038, 2580, 28219, 4671, 6851, 267, 834, 284, 286, 5602, 2018, 2638, 318, 29798, 318, 663, 318, 1326, 4671, 1335, 263, 716, 783, 24987, 994, 8931, 8931, 1038, 952, 28219, 2999, 28219, 4671, 6851, 912, 2018, 1820, 2891, 307, 4459, 2243, 281, 5602, 13872, 2018, 4890, 24987, 815, 28219, 910, 28219, 4671, 6851, 454, 2018, 1820, 263, 8681, 267, 29038, 2580, 28219, 4671, 6851, 267, 834, 284, 286, 5602, 2018, 2638, 318, 29798, 318, 663, 318, 1326, 4671, 1335, 263, 716, 783, 24987, 994, 27030, 825, 952, 530, 13843, 1428, 912, 1038, 1820, 2891, 296, 6415, 865, 800, 267, 649, 1590, 798, 713, 1377, 1586, 23528, 1038, 1820, 2891, 10303, 596, 1185, 14307, 530, 2073, 834, 342, 3994, 23528, 1038, 1377, 1084, 4590, 13872, 13872, 825, 952, 530, 2999, 476, 1428, 912, 1038, 1820, 2891, 2791, 723, 1631, 6603, 256, 634, 30407, 540, 8956, 269, 6153, 2816, 256, 7454, 32405, 1038, 1820, 2891, 13117, 7529, 4499, 763, 1439, 25275, 13117, 7529, 4499, 5602, 1038, 1990, 815, 3403, 2891, 3086, 602, 596, 723, 6603, 519, 1439, 267, 596, 666, 2097, 1394, 2663, 610, 596, 666, 2119, 519, 2182, 4528, 281, 645, 585, 14827, 267, 10434, 585, 519, 2182, 1377, 610, 596, 666, 2347, 513, 1449, 547, 1118, 2386, 596, 666, 798, 519, 2182, 1377, 11053, 12239, 568, 585, 602, 269, 19515, 8931, 1038, 952, 1990, 2652, 834, 289, 13426, 2018, 1820, 2891, 28716, 1586, 4166, 269, 1635, 324, 5602, 2018, 14827, 454, 27030, 1038, 952, 1990, 2652, 834, 307, 12239, 13426, 2018, 1820, 2891, 2704, 2431, 26008, 5602, 2018, 1820, 2891, 1607, 568, 513, 1449, 689, 1377, 476, 272, 547, 1377, 476, 1015, 269, 19515, 2018, 1449, 10797, 13872, 1038, 952, 1990, 2652, 834, 26773, 13426, 13872, 2018, 1820, 2891, 2704, 2431, 267, 1287, 256, 901, 835, 2760, 7475, 865, 596, 1175, 14827, 1022, 942, 269, 6153, 2816, 31641, 310, 23528, 2018, 2182, 24038, 10797, 692, 344, 815, 476, 271, 454, 3698, 2638, 15263, 263, 716, 783, 24987, 2187, 825, 952, 2626, 6358, 2652, 4890, 24987, 912, 1038, 1820, 2891, 312, 1575, 32405, 1038, 12687, 815, 3403, 2891, 5649, 344, 547, 979, 593, 286, 5602, 825, 3116, 912, 1038, 1820, 2891, 301, 2100, 5602, 1038, 1820, 2891, 763, 2953, 2626, 568, 2433, 5602, 1038, 1820, 263, 716, 783, 24987, 994, 1038, 12687, 815, 3403, 2891, 5649, 344, 547, 593, 286, 5602, 1038, 586, 815, 586, 266, 272, 8528, 3698, 1449, 3890, 10778, 8931, 825, 1820, 2891, 1607, 1449, 3085, 1405, 1449, 596, 883, 17542, 269, 3807, 513, 2370, 1447, 269, 1809, 586, 1195, 1590, 798, 513, 476, 1911, 540, 1142, 1966, 269, 19515, 825, 1820, 2891, 2411, 3849, 1288, 2411, 955, 5602, 8931, 8931, 8931, 825, 585, 1775, 538, 2039, 263, 271, 267, 1911, 2187, 13872, 1038, 28219, 284, 703, 263, 12690, 27110, 263, 271, 267, 1911, 1822, 4917, 1038, 28219, 4671, 6851, 284, 703, 263, 12690, 27110, 263, 271, 267, 1911, 876, 4917, 13872, 1038, 4890, 24987, 815, 28219, 1341, 28219, 4671, 6851, 22562, 1038, 1820, 263, 8681, 267, 834, 266, 2580, 8681, 4671, 6851, 267, 834, 284, 286, 5602, 13872, 1038, 2626, 6358, 284, 703, 9272, 2891, 27363, 13872, 1038, 2638, 15263, 263, 716, 783, 24987, 994, 672, 7531, 825, 1820, 2891, 2411, 955, 25648, 6473, 2411 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2582, 4756, 1028, 338, 9892, 454, 4067, 815, 1412, 337, 2335, 773, 7055, 720, 815, 476, 2764, 454, 258, 1617, 921, 4756, 7084, 454, 577, 17010, 267, 1207, 342, 328, 267, 546, 785, 514, 267, 575, 629, 815, 18011, 341, 5914, 626, 3299, 1412, 321, 817, 626, 3299, 1412, 323, 5300, 1067, 3299, 1412, 326, 3726, 30658, 5073, 258, 1230, 13906, 523, 622, 454, 2745, 3488, 15916, 1250, 2012, 568, 1412, 1341, 2012, 1341, 22207, 1250, 2085, 568, 1412, 1341, 1193, 263, 720, 11723, 258, 4661, 2990, 454, 2745, 3488, 15916, 1250, 2012, 568, 2715, 4067, 348, 1250, 2085, 568, 2715, 720, 348, 8339, 8971, 28442, 284, 4067, 267, 2085, 284, 720, 11723, 258, 674, 268, 1598, 902, 454, 2745, 6600, 262, 15916, 1250, 2012, 568, 2715, 4067, 348, 1250, 2085, 568, 2715, 720, 348, 17210, 2745, 263, 577, 17010, 269, 5115, 1388, 1125, 15405, 0, 18411, 303, 4673, 1965, 572, 2624, 6403, 857, 334, 267, 1583, 5451, 2122, 5451, 26369, 524, 686, 541, 476, 276, 16060, 630, 272, 16948, 524, 3385, 18682, 334, 1916, 4467, 334, 522, 28185, 334, 30775, 542, 320, 888, 268, 595, 3385, 18682, 334, 533, 1712, 533, 983, 579, 2742, 1253, 5889, 333, 25556, 28219, 20110, 332, 3821, 632, 693, 2946, 476, 2004, 4699, 454, 268, 717, 534, 3873, 844, 655, 1750, 3258, 522, 340, 1780, 541, 632, 476, 1220, 4699, 6305, 10098, 454, 268, 7442, 6759, 338, 524, 3385, 5102, 334, 267, 1965, 920, 9366, 3067, 334, 522, 18682, 334, 5102, 537, 267, 552, 513, 1253, 5889, 333, 25556, 829, 14585, 5090, 320, 693, 2946, 522, 4090, 334, 454, 268, 3493, 12251, 632, 533, 983, 267, 522, 18682, 334, 3348, 13453, 2048, 9188, 322, 753, 541, 9957, 667, 612, 320, 1106, 320, 267, 2936, 324, 19804, 544, 18863, 29081, 6446, 3655, 9809, 320, 27984, 1784, 753, 541, 632, 476, 272, 513, 454, 276, 5302, 1495, 657, 630, 8681, 20110, 332, 4815, 994, 18257, 692, 5814, 8142, 532, 454, 5814, 942, 454, 5814, 4351, 692, 325, 1400, 714, 15606, 815, 476, 271, 692, 5035, 590, 777, 334, 263, 628, 15105, 269, 1320, 1348, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 727, 2187, 1038, 8142, 532, 269, 1320, 1348, 14857, 8181, 9191, 1345, 994, 1038, 1582, 8542, 727, 815, 562, 727, 454, 1038, 1582, 6155, 626, 4545, 807, 815, 476, 271, 454, 1038, 1582, 4877, 25222, 815, 476, 271, 454, 1038, 1582, 8542, 303, 592, 657, 815, 476, 271, 692, 825, 1219, 2196, 4311, 2187, 1038, 1247, 630, 12148, 2187, 2018, 2518, 3803, 714, 15606, 454, 2018, 1582, 4877, 25222, 815, 4351, 27110, 263, 271, 267, 2004, 994, 2018, 1582, 8542, 303, 592, 657, 6834, 476, 272, 454, 2018, 1582, 6155, 626, 4545, 807, 6834, 1582, 4877, 25222, 454, 2018, 1820, 2891, 302, 4939, 338, 5102, 537, 4939, 545, 332, 552, 795, 5451, 829, 14585, 516, 340, 4939, 545, 332, 14826, 257, 4939, 630, 1345, 8542, 727, 267, 1582, 4877, 25222, 267, 1582, 6155, 626, 4545, 807, 4917, 2018, 952, 630, 1345, 6155, 626, 4545, 807, 2999, 476, 1220, 2187, 3546, 942, 4732, 2748, 263, 12690, 27110, 263, 272, 267, 276, 4917, 2018, 3116, 912, 3546, 3803, 714, 15606, 6834, 476, 272, 454, 3546, 1820, 2891, 293, 8379, 281, 744, 4939, 338, 9087, 328, 522, 4939, 328, 4113, 897, 665, 5964, 635, 4939, 328, 5102, 657, 14826, 257, 4939, 630, 1345, 8542, 727, 267, 3803, 714, 15606, 267, 1582, 8542, 303, 592, 657, 4917, 3546, 2736, 692, 3698, 6301, 10031, 825, 562, 306, 777, 657, 815, 476, 276, 454, 825, 18682, 657, 815, 1496, 306, 777, 334, 2891, 306, 4338, 302, 318, 260, 328, 257, 260, 263, 328, 4297, 585, 1775, 538, 2039, 263, 271, 267, 562, 306, 777, 657, 22708, 825, 1820, 2891, 1262, 5442, 2975, 22473, 16692, 2910, 305, 305, 2839, 288, 2878, 5602, 825, 585, 521, 538, 18682, 657, 912, 1038, 521, 269, 11034, 10797, 14611, 3890, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 20701, 32046, 593, 3933, 4455, 476, 2537, 476, 1626, 281, 4366, 281, 5379, 476, 1001, 279, 692, 287, 10461, 281, 524, 1156, 344, 597, 784, 454, 12163, 258, 5814, 840, 15263, 454, 5814, 4351, 454, 5814, 2979, 454, 5814, 11346, 454, 5814, 26417, 454, 5814, 13668, 692, 5814, 21795, 607, 19073, 692, 258, 8237, 519, 1239, 883, 513, 2866, 323, 21648, 564, 543, 1449, 323, 21648, 564, 538, 5223, 540, 476, 6858, 270, 3451, 692, 3698, 4452, 291, 21648, 564, 6600, 32327, 267, 8237, 267, 2866, 13729, 17342, 3910, 1449, 13729, 17342, 3910, 1543, 318, 3650, 518, 17342, 316, 2187, 825, 609, 1930, 6600, 32327, 267, 1412, 337, 10807, 607, 26417, 12803, 912, 1038, 1948, 7024, 513, 5467, 1843, 799, 786, 621, 4733, 936, 3515, 454, 1038, 3515, 815, 26417, 18667, 518, 6262, 12364, 12803, 994, 1038, 1948, 10471, 568, 513, 1592, 540, 782, 1239, 267, 1141, 1142, 6221, 568, 513, 1899, 607, 1592, 454, 1038, 10471, 815, 1592, 263, 6050, 994, 1038, 1948, 14263, 476, 272, 1317, 649, 616, 17782, 585, 1985, 1554, 454, 1038, 585, 1535, 538, 2039, 12759, 5560, 21648, 564, 264, 910, 476, 272, 2187, 2018, 1948, 6460, 519, 1543, 547, 10581, 454, 2018, 1948, 14263, 476, 272, 1317, 2063, 568, 5569, 585, 909, 610, 1524, 454, 2018, 585, 586, 538, 2039, 263, 272, 267, 7003, 263, 20880, 318, 3650, 518, 264, 910, 476, 272, 2187, 3546, 10471, 20572, 6012, 344, 316, 815, 10581, 5560, 21648, 564, 20572, 6012, 344, 7481, 2018, 952, 4351, 20179, 3890, 2999, 8237, 912, 3546, 2866, 13729, 6910, 5560, 21648, 564, 20572, 7481, 2018, 3116, 912, 3546, 1449, 13729, 6910, 5560, 21648, 564, 20572, 316, 9239, 3698, 552, 16090, 22470, 291, 2700, 263, 27349, 272, 267, 3236, 273, 267, 3259, 2187, 825, 3845, 815, 476, 271, 454, 825, 585, 1535, 538, 2039, 263, 272, 267, 3259, 2187, 258, 1038, 1820, 263, 27349, 272, 20572, 7481, 258, 1038, 1820, 263, 27349, 273, 20572, 7481, 1038, 3845, 6834, 4073, 9230, 27349, 272, 20572, 316, 910, 3236, 273, 20572, 25818, 476, 273, 994, 825, 2132, 2979, 28460, 5560, 2700, 9239, 258, 1205, 737, 14282, 12543, 540, 519, 2999, 6783, 12481, 11133, 285, 1449, 9743, 766, 1851, 2999, 6783, 12481, 6783, 11417, 258, 2866, 13729, 454, 3698, 1205, 10468, 662, 26092, 6025, 20995, 13729, 267, 1449, 9743, 766, 267, 737, 2187, 825, 3845, 815, 11713, 825, 1948, 14263, 476, 272, 1317, 649, 616, 24590, 938, 1239, 543, 1449, 849, 814, 1634, 1362, 454, 825, 3259, 815, 7003, 6025, 652, 9743, 766, 264, 910, 476, 272, 692, 825, 585, 1535, 538, 2039, 9230, 6352, 6025, 20995, 13729, 4297, 2187, 1038, 1253, 815, 552, 16090, 22470, 291, 2700, 6025, 652, 9743, 766, 267, 2866, 13729, 20572, 3910, 3259, 994, 1038, 3845, 6910, 9230, 10177, 1456, 13729, 20572, 3910, 1253, 4917, 825, 1948, 4990, 1759, 593, 519, 519, 6221, 693, 4994, 476, 272, 1775, 4318, 519, 3845, 454, 825, 3845, 31699, 31107, 284, 28072, 269, 14403, 1326, 614, 263, 272, 4917, 825, 12543, 815, 11713, 825, 585, 1535, 538, 2039, 17347, 2187, 1038, 12543, 6910, 5560, 2700, 20572, 6012, 271, 7481, 825, 2132, 12543, 7531, 258, 1118, 782, 6114, 8917, 741, 8760, 267, 519, 835, 609, 519, 5207, 8917, 454, 258, 17993, 454, 3698, 1205, 25215, 2945, 263, 31371, 26092, 2187, 825, 1362, 309, 4925, 815, 31460, 825, 585, 1535, 538, 2039, 12759, 263, 31371, 26092, 15892, 1038, 3210, 815, 12543, 20572, 6012, 268, 272, 2639, 1038, 952, 3210, 538, 1362, 309, 4925, 912, 2018, 1362, 309, 4925, 314, 24978, 316, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1362, 309, 4925, 314, 24978, 316, 815, 476, 272, 22562, 825, 1948, 2745, 263, 5035, 309, 4925, 994, 825, 1164, 318, 4486, 815, 834, 27029, 825, 1164, 19056, 815, 10581, 2891, 268, 8882, 5602, 825, 585, 1883, 538, 1362, 309, 4925, 269, 12399, 10031, 1038, 952, 1362, 309, 4925, 314, 4486, 316, 13843, 1164, 19056, 912, 2018, 1164, 318, 4486, 815, 1883, 22562, 825, 2132, 1164, 318, 4486, 454, 825, 1948, 338, 9285, 309, 4925, 815, 15044, 263, 5035, 309, 4925, 269, 3438, 19477, 19572, 1883, 284, 28072, 269, 14403, 1326, 614, 263, 272, 1070, 9258, 18989, 994, 825, 1948, 8873, 15044, 309, 4925, 314, 271, 6012, 271, 6540, 454, 3698, 1205, 16914, 5596, 6025, 652, 13729, 267, 11236, 2187, 825, 2953, 815, 476, 271, 454, 825, 585, 1535, 538, 2039, 12759, 6025, 652, 13729, 15892, 1038, 952, 1449, 13729, 20572, 6012, 268, 272, 316, 2652, 11236, 20572, 14158, 2018, 2953, 6834, 476, 272, 454, 825, 2132, 630, 322, 8091, 270, 15615, 12759, 6025, 652, 13729, 30727, 2608, 476, 1911, 269, 271, 7531, 3698, 3589, 2690, 17347, 267, 32197, 267, 6006, 4067, 267, 8237, 2187, 825, 1948, 643, 815, 22373, 11845, 2580, 834, 13449, 2580, 834, 14683, 2580, 834, 869, 2580, 834, 29148, 2580, 834, 344, 16518, 14656, 7755, 14824, 8063, 1689, 31116, 825, 17488, 815, 22373, 11845, 2580, 834, 13449, 2580, 834, 14683, 2580, 834, 869, 2580, 834, 29148, 14824, 8063, 1689, 31116, 825, 2866, 13729, 815, 11713, 825, 1449, 13729, 815, 11713, 825, 2698, 15575, 815, 476, 271, 692, 825, 1948, 1930, 519, 3758, 454, 825, 4452, 291, 21648, 564, 6600, 32327, 267, 8237, 267, 2866, 13729, 267, 1449, 13729, 267, 17488, 2020, 825, 1820, 2891, 303, 9438, 532, 585, 14307, 6006, 4067, 994, 825, 1820, 2891, 307, 1778, 281, 834, 1341, 1065, 337, 12759, 6025, 20995, 13729, 21875, 825, 1820, 2891, 14818, 281, 834, 1341, 1065, 337, 12759, 6025, 652, 13729, 21875, 825, 2698, 15575, 6834, 7003, 6025, 20995, 13729, 264, 1341, 7003, 6025, 652, 13729, 994, 825, 1820, 2891, 13707, 281, 834, 1341, 1065, 337, 6025, 4973, 15575, 11723, 825, 1948, 5352, 11236, 454, 825, 3589, 318, 663, 318, 1326, 318, 3147, 5596, 6025, 652, 13729, 267, 2866, 13729, 267, 737, 267, 6006, 4067, 994, 8931, 8931, 3698, 3589, 318, 663, 318, 1326, 318, 3147, 5596, 6025, 652, 13729, 267, 2866, 13729, 267, 737, 267, 6006, 4067, 2187, 825, 11236, 815, 11713, 825, 585, 1535, 538, 2039, 12759, 6025, 652, 13729, 15892, 1038, 12543, 815, 1205, 10468, 662, 26092, 6025, 20995, 13729, 267, 1449, 13729, 20572, 3910, 737, 994, 1038, 1267, 815, 1205, 25215, 2945, 263, 31371, 26092, 994, 1038, 11236, 6910, 31114, 2020, 825, 6111, 815, 1205, 16914, 5596, 6025, 652, 13729, 267, 11236, 994, 825, 1820, 3488, 16914, 5596, 281, 1412, 1341, 1065, 337, 263, 3147, 5596, 264, 1341, 1412, 260, 5073, 8931, 3698, 3589, 2690, 25402, 6563, 17347, 267, 32197, 267, 19108, 318, 27349, 267, 8237, 2187, 825, 1948, 643, 815, 22373, 11845, 2580, 834, 13449, 2580, 834, 14683, 2580, 834, 869, 2580, 834, 29148, 2580, 834, 344, 16518, 14656, 7755, 14824, 8063, 1689, 31116, 825, 17488, 815, 22373, 11845, 2580, 834, 13449, 2580, 834, 14683, 2580, 834, 869, 2580, 834, 29148, 14824, 8063, 1689, 31116, 825, 2866, 13729, 815, 11713, 825, 1449, 13729, 815, 11713, 825, 1948, 1930, 519, 3758, 454, 825, 4452, 291, 21648, 564, 6600, 32327, 267, 8237, 267, 2866, 13729, 267, 1449, 13729, 267, 17488, 994, 8931, 825, 12543, 815, 1205, 10468, 662, 26092, 6025, 20995, 13729, 267, 19108, 318, 27349, 267, 737, 994, 825, 1267, 815, 1205, 25215, 2945, 263, 31371, 26092, 994, 8931, 825, 1820, 31114, 994, 825, 2132, 1267, 692, 3698, 840, 15263, 12774, 263, 18450, 6831, 1712, 2187, 825, 1948, 18450, 6831, 1712, 815, 834, 289, 15709, 4840, 8931, 825, 1948, 14766, 815, 834, 10059, 2517, 4178, 269, 19563, 822, 656, 720, 16691, 270, 638, 2044, 286, 10818, 284, 2316, 10933, 318, 306, 2207, 22494, 318, 6395, 6579, 312, 318, 4696, 297, 19851, 3633, 261, 32188, 6889, 266, 18450, 6831, 1712, 266, 257, 261, 16059, 21653, 284, 21459, 261, 777, 833, 344, 284, 304, 304, 310, 279, 28718, 297, 7417, 304, 271, 306, 2537, 261, 323, 520, 520, 4286, 284, 322, 12364, 4840, 825, 29250, 815, 834, 10059, 2517, 4178, 269, 19563, 822, 656, 720, 16691, 270, 638, 2044, 286, 10818, 284, 2316, 10933, 318, 306, 2207, 22494, 318, 6395, 6579, 312, 261, 32188, 6889, 266, 18450, 6831, 1712, 266, 2668, 1314, 261, 16059, 21653, 284, 21459, 261, 777, 833, 344, 284, 304, 304, 310, 279, 28718, 297, 7417, 304, 271, 306, 2537, 261, 323, 520, 520, 4286, 284, 322, 12364, 4840, 825, 3758, 12173, 815, 834, 323, 2905, 318, 611, 3286, 539, 318, 257, 1341, 6006, 6831, 1712, 1341, 834, 269, 322, 12364, 4840, 825 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 6228, 540, 9409, 538, 519, 1158, 269, 2201, 713, 835, 267, 715, 773, 321, 7795, 337, 729, 5693, 1318, 563, 2691, 649, 2811, 3168, 1472, 585, 945, 1058, 1205, 519, 16620, 585, 519, 19394, 6988, 540, 1857, 7521, 267, 649, 4043, 547, 5180, 909, 519, 8912, 31268, 269, 7971, 5974, 2356, 1205, 16091, 267, 543, 519, 2923, 269, 15742, 569, 891, 8912, 31268, 7703, 930, 5539, 585, 519, 30034, 856, 540, 519, 1857, 7214, 7521, 269, 1809, 594, 1616, 547, 12740, 909, 1079, 824, 10457, 1934, 267, 1079, 3466, 602, 2322, 519, 1909, 540, 1857, 30921, 543, 519, 1360, 6228, 540, 1435, 331, 923, 538, 519, 3627, 1546, 28838, 2631, 693, 1981, 269, 634, 1101, 568, 519, 17636, 540, 519, 9354, 2528, 267, 609, 922, 11812, 540, 513, 1582, 602, 5784, 519, 1158, 9003, 998, 519, 24388, 540, 519, 1582, 267, 543, 1454, 540, 519, 942, 513, 7168, 834, 1157, 344, 257, 1582, 693, 602, 269, 898, 781, 513, 844, 1853, 532, 2366, 14939, 1582, 602, 4991, 13943, 1360, 3533, 267, 1317, 713, 1582, 814, 547, 1745, 1434, 827, 3294, 782, 519, 942, 269, 6270, 30441, 798, 711, 1118, 7440, 267, 789, 19472, 835, 1776, 563, 288, 2034, 3815, 568, 519, 7771, 540, 938, 1079, 1390, 2797, 6105, 269, 2311, 835, 1448, 519, 6105, 19500, 711, 1175, 607, 2462, 2508, 24597, 6191, 267, 711, 1175, 607, 9988, 547, 20834, 1125, 17037, 855, 607, 1483, 5238, 540, 2797, 543, 18523, 2069, 269, 1703, 616, 6266, 540, 4128, 1946, 519, 6105, 723, 1044, 9927, 543, 1946, 789, 1100, 3476, 1404, 602, 1909, 267, 855, 519, 2164, 616, 513, 7771, 538, 18523, 2069, 267, 513, 30034, 856, 540, 2797, 8446, 543, 1244, 7035, 545, 1436, 267, 811, 3622, 563, 296, 6415, 13351, 676, 1018, 835, 530, 698, 1572, 519, 23636, 540, 4830, 8186, 282, 676, 519, 1249, 602, 1018, 1932, 1419, 10596, 585, 7214, 4901, 568, 513, 1184, 540, 3843, 547, 9290, 909, 16764, 538, 513, 2319, 28478, 8124, 865, 649, 917, 1175, 945, 1058, 581, 1750, 1229, 543, 945, 1630, 334, 539, 269, 898, 4667, 547, 803, 602, 1022, 1857, 7214, 4502, 1010, 610, 1200, 6070, 1590, 5706, 713, 4990, 540, 3364, 267, 1256, 693, 519, 1981, 540, 1818, 6266, 540, 1004, 13943, 563, 10673, 520, 747, 281, 15537, 267, 666, 596, 2911, 827, 519, 30034, 856, 540, 2797, 3961, 286, 5808, 1522, 581, 3743, 585, 2901, 5394, 2287, 610, 30034, 519, 1973, 540, 2797, 11407, 286, 1548, 1131, 596, 2161, 267, 1631, 602, 649, 2811, 6158, 827, 519, 26610, 540, 5094, 14218, 4293, 543, 3661, 1949, 267, 568, 519, 1909, 540, 4984, 543, 5132, 538, 1857, 1272, 888, 3721, 1156, 25020, 281, 1411, 917, 602, 538, 519, 30028, 519, 2731, 3983, 2262, 568, 834, 16647, 983, 6500, 257, 734, 513, 6071, 2442, 6500, 267, 711, 2576, 945, 568, 3312, 267, 799, 540, 1576, 1797, 21372, 267, 610, 2576, 945, 568, 834, 1372, 788, 569, 17695, 1242, 2437, 799, 568, 519, 824, 8360, 269, 1656, 547, 581, 7184, 17695, 1242, 267, 596, 1174, 267, 538, 4081, 2474, 2221, 267, 1797, 547, 581, 24835, 762, 540, 2588, 18146, 513, 2262, 971, 607, 834, 335, 3233, 1701, 3143, 835, 568, 4057, 269, 634, 2262, 267, 519, 8360, 1631, 267, 607, 930, 540, 596, 949, 917, 267, 568, 834, 6135, 24071, 1569, 547, 3854, 6990, 1701, 2334, 781, 7184, 17695, 1242, 267, 596, 1294, 269, 1656, 930, 540, 721, 1175, 2161, 4057, 267, 543, 602, 2306, 721, 2442, 9088, 563, 288, 1906, 1296, 3516, 2576, 945, 729, 2731, 3833, 14220, 827, 835, 540, 1250, 2835, 734, 663, 594, 723, 513, 4356, 540, 1818, 1004, 14220, 950, 594, 2328, 2835, 734, 342, 4710, 513, 2689, 538, 799, 646, 13934, 513, 3948, 540, 9553, 7682, 532, 602, 519, 7214, 1058, 581, 538, 13287, 540, 5168, 1510, 2543, 547, 2436, 602, 3762, 2818, 540, 1022, 1880, 2797, 3350, 13943, 269, 1261, 15527, 602, 713, 729, 513, 476, 1321, 4458, 6040, 562, 518, 323, 781, 5075, 540, 3978, 7214, 20089, 563, 4517, 2479, 2094, 1287, 594, 2219, 602, 594, 1131, 899, 547, 2328, 513, 1433, 267, 610, 693, 2547, 606, 1557, 267, 11331, 1945, 899, 4144, 776, 540, 606, 25827, 715, 518, 323, 267, 1317, 594, 899, 602, 2856, 540, 1373, 10169, 899, 513, 476, 1321, 4458, 6040, 269, 589, 1978, 14255, 25771, 23439, 2946, 267, 711, 865, 1454, 827, 1390, 2093, 543, 3226, 711, 827, 2797, 5322, 855, 827, 2219, 3294, 267, 827, 5168, 3294, 269, 1656, 594, 1589, 835, 540, 519, 4128, 267, 952, 519, 4739, 540, 1373, 7214, 538, 519, 2631, 540, 519, 16159, 945, 14753, 547, 513, 1804, 1857, 568, 538, 7771, 267, 568, 524, 2106, 6291, 269, 5221, 972, 781, 1100, 2631, 602, 972, 616, 18408, 543, 2093, 547, 581, 22002, 269, 1703, 616, 1152, 18408, 543, 2093, 547, 581, 1031, 543, 18705, 543, 1500, 883, 741, 1034, 3730, 543, 3617, 1106, 269, 15526, 568, 2219, 547, 581, 1310, 1945, 267, 3025, 568, 2219, 547, 723, 930, 1880, 3804, 538, 2247, 267, 4830, 540, 519, 3804, 602, 646, 610, 1352, 4523, 547, 24808, 269, 1656, 865, 267, 513, 1268, 949, 2328, 513, 1433, 610, 606, 2376, 543, 1118, 606, 4661, 267, 543, 1004, 4898, 267, 789, 1796, 909, 538, 519, 5304, 543, 789, 2161, 267, 834, 3383, 267, 616, 596, 4881, 585, 5604, 267, 610, 616, 596, 3168, 585, 930, 1164, 2990, 8119, 1703, 781, 2141, 930, 2219, 602, 596, 1590, 581, 1310, 1945, 3116, 563, 3080, 540, 519, 4128, 267, 23679, 267, 596, 9364, 1589, 596, 1131, 1265, 513, 2603, 540, 3978, 7214, 20089, 593, 6280, 3786, 4926, 568, 10502, 1317, 1004, 723, 26022, 543, 4061, 267, 538, 3069, 267, 991, 711, 5855, 827, 3843, 547, 798, 1945, 3116, 269, 1809, 593, 1082, 267, 1082, 3786, 4926, 596, 723, 267, 538, 1250, 10385, 267, 5266, 2370, 3978, 7214, 20089, 538, 519, 2631, 540, 22992, 3312, 3206, 267, 1317, 1256, 972, 267, 1004, 616, 14126, 827, 799, 3786, 789, 786, 581, 2219, 547, 581, 538, 563, 2791, 666, 17077, 569, 1224, 513, 2603, 540, 14172, 2221, 1510, 1101, 2348, 547, 530, 1228, 998, 1896, 11271, 540, 18413, 856, 519, 2666, 538, 519, 2631, 540, 23294, 1944, 538, 4434, 547, 782, 519, 14218, 4293, 602, 949, 581, 1055, 2105, 267, 561, 652, 835, 581, 2219, 538, 519, 824, 3786, 269, 2334, 2186, 540, 7214, 2534, 568, 711, 1152, 5906, 267, 621, 781, 7938, 20564, 538, 606, 1271, 2631, 267, 621, 781, 711, 17709, 540, 519, 1390, 5389, 540, 7214, 2219, 563, 2467, 781, 513, 12402, 3006, 547, 723, 606, 11552, 6470, 3830, 602, 972, 568, 3978, 7214, 2534, 936, 1934, 267, 543, 4984, 936, 972, 267, 543, 891, 616, 267, 538, 930, 2631, 267, 693, 2112, 269, 2334, 1004, 540, 2620, 5132, 616, 10750, 569, 4550, 10784, 21526, 543, 3978, 30921, 616, 10750, 569, 1884, 790, 31437, 2462, 1824, 734, 16269, 2811, 1079, 1360, 3978, 11475, 4371, 676, 1360, 1804, 2338, 540, 1004, 269, 594, 6415, 3833, 796, 10603, 1551, 21724, 543, 25981, 827, 7114, 8885, 607, 513, 4168, 543, 849, 607, 606, 7214, 267, 543, 594, 1810, 1405, 1589, 972, 781, 1022, 2556, 2112, 1063, 1346, 1079, 267, 4352, 594, 1590, 2161, 267, 1373, 538, 606, 4081, 1604, 267, 621, 781, 1360, 2653, 547, 1589, 602, 972, 568, 563, 296, 729, 4280, 676, 513, 19784, 513, 1906, 1296, 3516, 1946, 729, 621, 602, 594, 729, 6899, 7114, 8885, 267, 543, 1419, 1705, 267, 607, 513, 3109, 16159, 610, 606, 3979, 12677, 16159, 543, 15991, 2479, 4857, 8885, 607, 513, 4168, 16159, 269, 1656, 15983, 519, 2601, 568, 267, 972, 616, 1978, 28639, 593, 13464, 11021, 602, 568, 711, 513, 2009, 3364, 547, 581, 610, 267, 693, 2547, 267, 711, 513, 3226, 3730, 4999, 540, 10297, 563, 4517, 2943, 267, 594, 1589, 602, 519, 2245, 540, 519, 9295, 547, 513, 1857, 10784, 21526, 1272, 676, 1346, 1818, 12799, 3909, 7440, 814, 1044, 606, 1271, 543, 15763, 835, 267, 543, 594, 979, 1394, 585, 1250, 2203, 267, 1134, 2250, 715, 773, 321, 7795, 337, 267, 883, 519, 13524, 2540, 269, 1280, 1383, 267, 952, 596, 6743, 693, 930, 540, 519, 1390, 840, 18291, 540, 519, 20552, 626, 3350, 267, 835, 3364, 602, 568, 3833, 11495, 827, 873, 568, 267, 540, 1576, 267, 602, 789, 941, 6340, 538, 606, 5736, 950, 621, 729, 4122, 10924, 602, 1004, 1223, 581, 3833, 2597, 344, 538, 741, 18381, 543, 3833, 2597, 344, 538, 741, 7214, 1379, 269, 1656, 950, 596, 1224, 1082, 540, 519, 28005, 976, 540, 602, 5736, 267, 1082, 540, 519, 2835, 543, 30732, 7410, 267, 596, 3533, 2744, 513, 2631, 540, 519, 7214, 1379, 540, 1346, 945, 941, 10296, 741, 1857, 7440, 538, 12799, 4168, 2474, 563, 3086, 12997, 649, 723, 513, 3140, 12402, 547, 1589, 267, 834, 17764, 267, 1134, 267, 621, 781, 2067, 789, 12038, 602, 1259, 1287, 267, 1317, 519, 4182, 729, 1447, 3909, 569, 3309, 543, 811, 4168, 1701, 24511, 267, 519, 6587, 729, 4440, 3020, 267, 607, 12206, 1631, 1589, 734, 1492, 4182, 568, 4440, 1447, 3909, 569, 3309, 1631, 982, 621, 729, 476, 5611, 267, 476, 11260, 1296, 3516, 267, 950, 10764, 941, 1373, 8547, 2731, 3833, 24847, 269, 1656, 1034, 540, 1346, 24847, 8547, 10764, 538, 519, 476, 9264, 271, 338, 547, 519, 476, 8146, 271, 338, 723, 5747, 267, 855, 1082, 540, 873, 1185, 13794, 538, 1390, 1297, 1354, 789, 1705, 563, 25567, 320, 781, 2631, 540, 3294, 607, 513, 865, 10777, 4168, 4182, 267, 607, 789, 1031, 547, 2161, 538, 519, 13524, 2540, 267, 4769, 1405, 2731, 1332, 2178, 2394, 519, 476, 6977, 271, 338, 610, 476, 5908, 271, 338, 269, 1924, 596, 723, 547, 4952, 519, 20552, 626, 840, 18291, 540, 519, 22733, 543, 2038, 13524, 5553, 267, 840, 2286, 538, 513, 1158, 538, 799, 621, 1223, 581, 4376, 855, 1978, 602, 1346, 945, 941, 6947, 547, 873, 941, 8209, 1071, 3146, 5554, 542, 1235, 563, 1103, 713, 2540, 1932, 267, 649, 723, 1390, 7214, 840, 18291, 945, 849, 12038, 2066, 3909, 3515, 269, 9410, 13162, 3751, 568, 5310, 519, 1034, 4583, 540, 873, 267, 1256, 1498, 3006, 267, 1004, 2119, 547, 1118, 513, 2269, 527, 329, 871, 564, 7214, 540, 1864, 676, 1202, 12371, 267, 609, 1100, 2963, 31049, 267, 602, 646, 2965, 729, 3274, 1818, 16712, 5837, 7440, 267, 543, 602, 4984, 729, 2186, 540, 513, 1159, 10280, 10547, 269, 1403, 596, 1353, 1010, 1857, 18591, 543, 1413, 693, 1010, 18531, 267, 799, 941, 2731, 28005, 976, 267, 607, 513, 1895, 267, 596, 3362, 20559, 602, 602, 781, 711, 3020, 563, 4517, 2943, 267, 519, 2538, 6685, 540, 1010, 1893, 5795, 621, 851, 540, 922, 1379, 267, 1519, 519, 1379, 547, 3444, 12030, 1049, 3515, 267, 547, 3444, 519, 3515, 1063, 835, 2245, 543, 1776, 267, 543, 547, 3444, 3515, 1063, 4984, 543, 1875, 516, 5554, 542, 269, 1280, 519, 3909, 569, 6410, 1857, 7214, 267, 519, 1249, 568, 602, 972, 616, 930, 7440, 602, 3274, 6336, 741, 1379, 610, 616, 27071, 540, 741, 6612, 950, 789, 2811, 12261, 883, 513, 8806, 16712, 7154, 269, 634, 30493, 540, 3751, 781, 1857, 610, 2218, 729, 7361, 513, 1267, 540, 922, 2538, 6685, 543, 922, 2702, 547, 5905, 602, 1747, 538, 519, 1480, 2295, 1141, 649, 917, 1318, 689, 4636, 282, 621, 1131, 711, 723, 1044, 607, 3532, 267, 607, 8903, 267, 1185, 621, 26218, 602, 3909, 2298, 563, 3086, 267, 594, 6415, 711, 1373, 513, 7290, 5566, 267, 594, 6415, 711, 6031, 267, 834, 17764, 267, 4061, 519, 3540, 2924, 3350, 1131, 711, 723, 5949, 610, 649, 1131, 1869, 723, 7292, 17478, 2221, 257, 734, 7474, 781, 711, 519, 1448, 540, 1250, 4661, 269, 634, 1448, 568, 602, 1010, 2538, 6685, 1705, 711, 1033, 847, 689, 1010, 7214, 1379, 282, 2864, 267, 621, 8476, 621, 269, 901, 568, 711, 547, 2161, 267, 540, 1576, 267, 602, 3025, 945, 2306, 513, 3909, 4661, 538, 1857, 1272, 568, 6340, 689, 930, 3532, 7214, 3490, 269, 1809, 621, 1281, 2303, 649, 1058, 581, 530, 776, 540, 519, 28639, 602, 8263, 789, 666, 1405, 581, 1818, 3978, 7440, 2394, 789, 616, 12261, 883, 930, 824, 1106, 602, 930, 949, 1265, 811, 5493, 23534, 269, 769, 1249, 267, 835, 540, 1250, 1390, 12194, 827, 519, 1747, 649, 616, 538, 938, 9111, 568, 602, 267, 4984, 11735, 267, 649, 723, 4503, 519, 2702, 547, 2769, 543, 8044, 827, 1390 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1864, 689, 519, 19384, 6928, 593, 519, 1530, 710, 269, 1261, 1179, 12885, 602, 519, 15865, 7919, 616, 711, 606, 17861, 639, 630, 328, 4318, 1421, 799, 1131, 1118, 713, 513, 26135, 9661, 264, 855, 513, 1007, 5198, 540, 7068, 30758, 547, 5486, 656, 812, 593, 3618, 269, 634, 15669, 17236, 1524, 1010, 2777, 267, 855, 4991, 519, 4608, 15967, 4743, 602, 519, 3520, 5055, 568, 1869, 609, 1864, 1862, 543, 519, 1152, 1259, 856, 568, 11980, 269, 715, 289, 281, 634, 2165, 834, 1817, 5055, 2437, 799, 30172, 834, 4243, 3288, 2437, 568, 2356, 3144, 547, 1611, 1945, 834, 719, 2515, 257, 538, 519, 2631, 540, 1373, 3564, 938, 12823, 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 ]
[ 519, 2627, 547, 2611, 19335, 3448, 547, 519, 519, 5714, 1472, 621, 267, 865, 1022, 2121, 10231, 1590, 581, 9859, 2059, 519, 2627, 3339, 8429, 998, 519, 1612, 4897, 543, 883, 519, 1560, 540, 5714, 269, 2334, 3947, 596, 513, 23319, 585, 4466, 519, 9386, 540, 519, 2627, 693, 1022, 3845, 689, 519, 10047, 7852, 269, 3973, 946, 519, 1249, 602, 17093, 7933, 343, 3947, 519, 9386, 540, 535, 3287, 264, 27250, 274, 269, 5463, 476, 866, 267, 476, 1001, 273, 692, 2162, 678, 321, 342, 836, 14338, 276, 692, 32091, 575, 928, 650, 1384, 28989, 585, 519, 1462, 334, 269, 3371, 568, 1250, 9819, 454, 7445, 2765, 18097, 327, 2410, 11459, 18098, 2765, 31551, 315, 18652, 317, 273, 343, 2410, 16936, 21456, 11997, 267, 1269, 327, 3620, 318, 271, 7807, 2765, 346, 272, 2410, 273, 4153, 2765, 3189, 18652, 317, 273, 2410, 326, 26507, 317, 273, 8961, 1141, 1269, 327, 259, 568, 519, 4463, 6027, 689, 519, 2627, 547, 519, 5377, 563, 8649, 594, 1318, 286, 594, 993, 1869, 711, 2312, 827, 1018, 596, 5921, 676, 834, 1415, 2121, 10231, 1590, 581, 9859, 2059, 519, 2627, 3339, 8429, 998, 519, 1612, 4897, 543, 883, 519, 1560, 540, 5714, 6231, 7712, 516, 569, 780, 275, 269, 5463, 476, 866, 267, 476, 1001, 273, 692, 2162, 16065, 281, 22895, 528, 692, 16100, 338, 15502, 269, 634, 2856, 594, 729, 3843, 547, 2066, 568, 602, 952, 519, 2627, 540, 519, 1216, 568, 547, 2611, 1869, 950, 621, 10301, 11931, 1533, 267, 972, 666, 581, 1100, 2417, 2095, 269, 1924, 513, 1507, 1612, 4897, 540, 1216, 693, 519, 2627, 666, 1405, 1995, 1022, 2121, 3196, 6252, 547, 519, 2627, 4534, 6382, 621, 1131, 1616, 547, 1847, 2059, 519, 2627, 269, 1924, 1022, 2121, 3196, 630, 659, 5120, 566, 264, 602, 519, 1612, 4897, 7959, 1590, 581, 538, 513, 4287, 2059, 519, 3339, 547, 519, 2627, 267, 543, 538, 1249, 2047, 883, 519, 2627, 630, 1278, 3772, 519, 1612, 4897, 1131, 4473, 1055, 519, 2627, 6393, 276, 269, 5463, 476, 736, 267, 476, 1001, 273, 692, 2162, 678, 321, 342, 836, 14338, 276, 692, 296, 1589, 594, 3893, 519, 2856, 2336, 2080, 568, 1250, 3803, 3196, 6516, 540, 519, 1062, 780, 4517, 4061, 267, 519, 2626, 585, 519, 2034, 2243, 568, 602, 519, 3337, 786, 711, 1689, 952, 1216, 568, 1031, 780, 277, 269, 5463, 476, 736, 267, 476, 1001, 273, 692, 2162, 16065, 281, 22895, 528, 692, 306, 2432, 1434, 547, 803 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 875, 519, 6142, 2872, 568, 1210, 9893, 269, 5901, 538, 2247, 602, 693, 713, 1448, 267, 972, 616, 811, 30384, 543, 623, 31237, 982, 2407, 8397, 30582, 563, 305, 274, 305, 274, 568, 606, 13055, 9893, 2754, 269, 898, 15387, 606, 5117, 540, 936, 476, 4968, 10909, 2066, 6080, 602, 1628, 9893, 3301, 8924, 593, 1283, 540, 922, 24778, 320, 3760, 269, 1452, 8924, 666, 581, 1031, 2066, 6080, 689, 6142, 547, 12948, 547, 3782, 269, 681, 274, 15387, 476, 273, 8747, 540, 24778, 320, 282, 606, 1930, 2707, 3760, 543, 606, 13055, 10391, 4528, 1572, 24778, 320, 27617, 269, 5637, 8747, 540, 24778, 320, 616, 15095, 609, 1142, 824, 563, 11900, 4269, 10391, 3156, 593, 24778, 320, 616, 2966, 547, 948, 1202, 20445, 25117, 1394, 5604, 2238, 267, 20928, 10512, 8928, 267, 543, 3622, 6108, 1447, 942, 593, 1919, 899, 6811, 14721, 543, 1239, 4393, 269, 1703, 616, 849, 8924, 1373, 1646, 547, 3432, 909, 896, 8586, 543, 5512, 5488, 1239, 4687, 1851, 1202, 20445, 543, 556, 1231, 20445, 563, 15368, 1227, 267, 24778, 320, 6499, 547, 3984, 513, 1455, 1305, 540, 6142, 8924, 602, 519, 3003, 2872, 666, 946, 547, 2759, 3790, 543, 5818, 8907, 269, 24778, 320, 4867, 19646, 936, 476, 1428, 6142, 10391, 8924, 267, 609, 513, 1906, 540, 891, 18611, 883, 2504, 971, 607, 912, 289, 274, 328, 289, 274, 328, 729, 513, 9893, 931, 24832, 267, 1631, 606, 4830, 3301, 2754, 267, 6462, 676, 3056, 1202, 20445, 543, 556, 1231, 20445, 1519, 18230, 1234, 267, 589, 311, 288, 267, 2098, 584, 747, 267, 22540, 1234, 267, 543, 2353, 1014, 345, 269, 1358, 1020, 9893, 2861, 3156, 585, 1202, 20445, 543, 556, 1231, 20445, 543, 2832, 547, 1711, 2872, 17253, 4441, 269, 645, 274, 328, 6663, 547, 946, 9893, 10509, 547, 20928, 1394, 5604, 3157, 543, 6811, 2359, 2443, 10416, 2539, 3790, 543, 798, 1919, 5488, 269, 769, 476, 1001, 279, 267, 645, 274, 328, 23564, 689, 22126, 779, 15214, 1194, 3455, 28577, 547, 681, 274, 779, 24778, 320, 3760, 563, 1103, 5147, 476, 1001, 280, 267, 789, 9250, 513, 9697, 770, 23393, 21418, 540, 13809, 1587, 593, 24778, 320, 269, 634, 1587, 568, 2966, 585, 2156, 24329, 267, 1202, 20445, 543, 556, 1231, 20445, 547, 21907, 543, 1747, 4220, 811, 7561, 676, 4227, 8261, 2238, 1644, 547, 11093, 267, 5710, 532, 543, 5883, 21308, 563, 288, 311, 288, 1103, 476, 1001, 278, 267, 589, 311, 288, 9250, 674, 714, 5414, 267, 513, 9893, 3760, 585, 8184, 8488, 6142, 269, 11426, 619, 6718, 8184, 8488, 6142, 267, 799, 568, 6592, 538, 513, 5100, 4579, 269, 634, 3760, 568, 4448, 547, 2518, 2011, 6808, 12240, 543, 11392, 8184, 4567, 525, 269, 1403, 513, 6075, 779, 8184, 568, 16607, 585, 811, 982, 1079, 3108, 267, 519, 5100, 4579, 8850, 12153, 8569, 547, 519, 6075, 563, 20578, 619, 1810, 1406, 723, 547, 6445, 856, 6811, 3029, 610, 3717, 547, 3028, 1065, 338, 269, 634, 3409, 568, 20024, 2047, 547, 741, 4871, 2272, 269, 21436, 9547, 281, 12366, 1242, 563, 288, 311, 288, 1281, 711, 723, 547, 6108, 942, 4393, 6811, 267, 2357, 4328, 8184, 1239, 267, 610, 11972, 1957, 1740, 585, 8569, 2278, 3074, 269, 1358, 4688, 593, 942, 1299, 1942, 543, 666, 11766, 891, 2200, 547, 811, 19311, 2238, 563, 10000, 11845, 281, 674, 714, 5414, 814, 2094, 1044, 19944, 4240, 1310, 476, 273, 1296, 267, 7654, 1813, 547, 3668, 540, 14031, 689, 519, 2951, 270, 1515, 1467, 2872, 269, 17859, 267, 674, 714, 5414, 729, 513, 22082, 540, 12204, 543, 814, 9788, 519, 24536, 585, 2104, 9893, 6142, 5867, 563, 23325, 9061, 295, 784, 15158, 1202, 25033, 9791, 9061, 568, 1210, 9893, 2094, 4989, 476, 1001, 280, 547, 3432, 909, 2564, 6142, 6811, 4393, 543, 2061, 12611, 563, 23325, 9061, 685, 9893, 3760, 4570, 919, 6811, 1239, 538, 1483, 6066, 267, 799, 7494, 6971, 12611, 1761, 689, 26134, 6811, 25937, 267, 585, 1383, 269, 28787, 338, 616, 849, 9268, 5488, 585, 741, 476, 1220, 267, 1822, 266, 5561, 269, 634, 3760, 849, 18788, 519, 991, 547, 31363, 6811, 1239, 2066, 6105, 971, 607, 1202, 20445, 543, 2564, 3028, 7426, 269, 6481, 9439, 971, 607, 7189, 543, 23096, 832, 945, 1810, 1406, 2308, 1082, 14721, 1489, 5234, 1223, 4688, 942, 543, 2724, 676, 24574, 1359, 609, 9791, 9061, 563, 23325, 9061, 685, 9893, 3760, 568, 3710, 593, 15214, 1194, 3455, 269, 9791, 9061, 568, 11262, 676, 7813, 540, 5101, 5607, 563, 11900, 584, 24859, 11900, 584, 24859, 568, 513, 9893, 2861, 7286, 26083, 6142, 3760, 9250, 538, 476, 1001, 279, 269, 634, 3760, 729, 513, 5698, 1851, 21321, 560, 1299, 8479, 267, 15050, 5503, 267, 8575, 619, 330, 267, 9786, 267, 543, 8028, 16704, 269, 898, 729, 3710, 593, 681, 274, 779, 24778, 320, 3760, 563, 11900, 584, 24859, 2488, 1483, 6066, 1344, 593, 9635, 685, 4087, 267, 2783, 267, 543, 3106, 2188, 602, 1312, 1202, 20445, 543, 5561, 666, 1569, 269, 1403, 9635, 4283, 1164, 16151, 2127, 267, 6184, 584, 24859, 8850, 2188, 713, 883, 896, 8586, 543, 14499, 9273, 563, 7093, 26606, 9273, 585, 713, 1826, 540, 6142, 616, 1360, 1950, 269, 11109, 606, 1799, 17014, 20894, 13009, 585, 6928, 10391, 1344, 15186, 552, 1162, 713, 9819, 267, 6087, 4977, 14499, 267, 543, 11250, 909, 896, 8586, 269, 6184, 20445, 616, 849, 2111, 547, 1732, 2272, 585, 6928, 10391, 4220, 563, 763, 8892, 540, 23204, 538, 15928, 4322, 616, 1869, 2038, 2395, 269, 4107, 540, 519, 960, 1472, 9893, 538, 6142, 568, 538, 519, 19577, 540, 10417, 3942, 543, 7939, 568, 7444, 20414, 909, 269, 1717, 267, 649, 723, 2907, 2938, 930, 3156, 602, 723, 8854, 2661, 563, 763, 2048, 638, 1157, 652, 3094, 685, 585, 9893, 538, 6142, 568, 538, 519, 1858, 540, 1942, 1852, 269, 29547, 3790, 616, 18644, 1202, 20445, 2066, 1034, 6990, 269, 23204, 5867, 543, 667, 1952, 338, 602, 1450, 10909, 547, 1863, 909, 2200, 676, 3678, 908, 6811, 2359, 267, 12611, 7020, 543, 1239, 21047, 267, 585, 1383, 267, 786, 581, 2295, 1176, 31045, 676, 26933, 563, 763, 1483, 3094, 786, 581, 950, 9893, 5867, 5512, 1202, 20445, 547, 1711, 1732, 2472, 543, 593, 4580, 5561, 5488, 2443, 1919, 602, 3142, 538, 8907, 269, 1280, 713, 547, 4755, 267, 649, 991, 513, 811, 7347, 5117, 540, 1202, 20445, 267, 556, 1231, 20445, 267, 10509, 3549, 543, 3028, 7426, 2324, 1927, 593, 2872, 268, 20598, 9893, 5867, 563, 1607, 814, 2907, 3323, 609, 3301, 3549, 899, 681, 274, 22745, 13055, 17263, 9893, 5867, 971, 607, 24778, 320, 27617, 269, 1284, 849, 723, 3056, 1202, 20445, 3238, 538, 645, 274, 328, 602, 2671, 1455, 3853, 1644, 547, 9893, 1646, 269, 898, 3788, 547, 581, 2938, 952, 891, 2067, 15712, 2671, 2614, 1279, 3856, 4690, 547, 2844, 519, 11036, 269, 1403, 711, 267, 2872, 17253, 9893, 10073, 949, 1491, 3476, 543, 1831, 811, 27929, 563, 4913, 267, 519, 2640, 616, 1932, 6654, 547, 11716, 269, 1284, 786, 4440, 1294, 513, 1906, 8149, 3549, 1902, 2038, 538, 9893, 543, 2972, 513, 2110, 1974, 540, 1657, 5991, 5436, 2773, 267, 609, 2038, 10073, 4947, 689, 9921, 6990, 21002, 2989, 609, 1164, 3790, 607, 1134, 607, 930, 2694, 540, 14913, 5607, 630, 324, 3052, 269, 3624, 267, 799, 30082, 3792, 1206, 10509, 1040, 634, 1964, 540, 519, 2872, 786, 1246, 563, 288, 1007, 1382, 4063, 689, 7813, 540, 3013, 7710, 519, 5092, 6286, 540, 19116, 269, 7813, 540, 3013, 7797, 281, 11670, 781, 6936, 10025, 1412, 19808, 6372, 547, 8178, 262, 5851, 13017, 547, 519, 11670, 1382, 1867, 540, 7813, 540, 3013, 286, 6496, 4896, 723, 513, 1463, 3095, 547, 741, 1382, 1867, 286, 8729, 256, 476, 273, 8292, 269, 2671, 269, 4688, 12404, 1867, 269, 476, 7830, 260, 5455, 341, 6838, 269, 901, 8142, 568, 2895, 1882, 269, 1715, 8292, 3112, 581, 11540, 543, 16018, 3112, 581, 5641, 269, 23037, 676, 269, 1655, 269, 1655, 1283, 1007, 11786, 2025, 7117, 261, 320, 3267, 7813, 540, 3013, 772, 2529, 269, 30168, 18466, 548, 2725, 9807, 5206, 538, 513, 4063, 547, 7218, 267, 3370, 538, 4728, 267, 968, 2171, 616, 13166, 30418, 602, 519, 4346, 814, 15468, 883, 513, 21748, 2560, 543, 621, 568, 513, 2620, 3267, 7813, 540, 3013, 7797, 281, 11670, 779, 6936, 10025, 2048, 19808, 6372, 547, 8178, 685, 589, 1761, 1847, 676, 2518, 30549, 1137, 547, 2709, 2472, 1472, 19116, 1223, 723, 513, 2462, 1764, 593, 519, 9962, 3267, 11670, 729, 519, 1655, 5092, 540, 519, 8717, 267, 2687, 547, 513, 1007, 1867, 676, 7813, 540, 3013, 1530, 15247, 630, 16129, 23711, 6355, 1040, 769, 519, 1867, 267, 4425, 288, 13890, 875, 1269, 1015, 16539, 693, 519, 1376, 540, 519, 8717, 1131, 581, 4502, 811, 982, 1269, 3445, 267, 1822, 2221, 267, 2484, 17772, 2354, 532, 1022, 824, 5092, 593, 519, 2344, 269, 2755, 19682, 779, 3902, 814, 15468, 883, 7771, 936, 519, 2063, 3018, 267, 21177, 2630, 1269, 278, 267, 1822, 267, 645, 12839, 729, 4502, 4429, 27709, 316, 19930, 454, 289, 3198, 298, 5508, 7537, 2207, 32177, 1341, 681, 7709, 303, 4041, 2473, 14641, 623, 11286, 301, 8991, 295, 7709, 286, 645, 26097, 23360, 21832, 306, 256, 645, 3951, 4596, 2562, 645, 12839, 10911, 312, 8976, 8016, 7838, 305, 27301, 312, 11553, 21201, 1341, 21832, 306, 476, 1001, 279, 26461, 357, 6930, 493, 376, 6930, 496, 375, 4858, 557, 645, 4900, 518, 281, 4179, 2517, 2998, 334, 3052, 331, 270, 10933, 6781, 326, 321, 26461, 490, 24639, 7034, 31304, 23813, 281, 4179, 2517, 2998, 334, 3052, 331, 11721, 272, 332, 342, 292, 272, 3267, 1948, 30531, 8314, 543, 824, 26429, 11750, 616, 17116, 7813, 540, 3013, 267, 519, 8549, 15944, 267, 1299, 8262, 1948, 289, 3471, 269, 634, 3908, 3761, 543, 20317, 540, 21888, 666, 711, 581, 556, 6088, 538, 2834, 535, 9332, 9304, 3267, 5463, 269, 2641, 4534, 20574, 631, 1195, 14269, 7315, 267, 8783, 10324, 11464, 693, 7813, 540, 3013, 267, 14753, 609, 25204, 6199, 781, 6424, 4639, 514, 827, 519, 26350, 540, 19682, 607, 513, 9304, 543, 519, 4871, 781, 1445, 593, 519, 2208, 540, 1483, 6066, 3267, 7813, 540, 3013, 30171, 15544, 593, 681, 21451, 779, 7464, 6874, 830, 5590, 25557, 5303, 15881, 730, 676, 634, 31427, 5800, 531, 10732, 5147, 476, 2641, 560, 267, 476, 1001, 280, 2878, 1262, 28874, 519, 5625, 1862, 769, 713, 3381, 594, 1865, 519, 4028, 10073, 540, 11670, 269, 20591, 290, 6369, 8379, 2207, 281, 901, 568, 10691, 2883, 5796, 269, 901, 568, 1175, 1250, 6644, 269, 769, 1100, 1259, 267, 3337, 267, 610, 1106, 993, 594, 3743, 585, 707, 5092, 3664, 3267, 0, 4649, 277, 678, 826, 1772, 8475, 548, 7931, 19902, 267, 16332, 1108, 540, 769, 591, 974, 18093, 267, 5333, 454, 265, 17357, 22046, 532, 8191, 281, 31466, 3559, 2274, 743, 2075, 267, 476, 4649, 277, 678, 826, 1772, 8475, 548, 7931, 19902, 267, 16332, 1108, 540, 769, 591, 974, 18093, 267, 5333, 563, 3725, 18727, 281, 5181, 476, 6021, 267, 476, 1708, 271, 282, 15618, 281, 4728, 476, 2420, 267, 476, 1708, 272, 454, 1607, 1353, 729, 5340, 689, 606, 4447, 5737, 1448, 540, 2070, 269, 634, 4262, 5182, 543, 522, 874, 340, 597, 573, 16384, 298, 28385, 6090, 585, 865, 6905, 513, 1974, 540, 4720, 538, 7103, 607, 3982, 1947, 1114, 607, 4262, 5182, 267, 3165, 267, 25850, 267, 5815, 602, 789, 1404, 606, 1898, 1909, 538, 519, 6668, 540, 7103, 281, 1909, 538, 519, 7939, 540, 4761, 3210, 267, 538, 589, 3122, 1749, 543, 744, 874, 340, 597, 1749, 269, 634, 4527, 540, 674, 322, 13805, 5444, 267, 28529, 5444, 538, 589, 3122, 5362, 6299, 839, 2347, 891, 1239, 563, 21292, 281, 744, 874, 340, 597, 573, 282, 7256, 10060, 282, 16384, 298, 28385, 2637, 525, 454, 515, 3483, 540, 713, 960, 568, 547, 2721, 3007, 547, 519, 2527, 540, 16384, 330, 28385, 6090, 602, 814, 19017, 593, 519, 4262, 5182, 4761, 1062, 2094, 476, 1001, 272, 267, 593, 519, 522, 874, 340, 597, 573, 4761, 1062, 2094, 476, 1001, 279, 269, 3245, 891, 1296, 267, 25450, 540, 6375, 1242, 543, 1875, 268, 9404, 684, 1242, 2831, 547, 670, 14641, 630, 1817, 572, 268, 2784, 880, 829, 31038, 848, 264, 723, 1044, 6594, 1496, 272, 267, 273, 4940, 4014, 4262, 5182, 16384, 298, 28385, 5444, 814, 1044, 9678, 476, 543, 1336, 538, 10856, 267, 713, 5444, 814, 849, 1044, 9571, 538, 3165, 630, 313, 324, 3630, 3165, 543, 30038, 574, 747 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7463, 2866, 814, 1831, 14063, 269, 901, 2376, 7710, 519, 2956, 540, 4487, 781, 5232, 538, 519, 1072, 5823, 267, 2519, 593, 519, 3344, 540, 7939, 267, 1565, 267, 543, 1514, 1764, 563, 8802, 1637, 4249, 513, 2629, 1909, 538, 8159, 519, 10343, 543, 6284, 540, 4487, 781, 5232, 538, 519, 1072, 5823, 269, 6452, 1042, 2787, 4703, 543, 2229, 8041, 1305, 4441, 543, 7355, 547, 2327, 602, 891, 3292, 2743, 519, 2556, 4170, 269, 1635, 20170, 547, 891, 6042, 267, 9945, 543, 3872, 5238, 666, 1683, 1164, 7779, 2069, 602, 10742, 2872, 4441, 269, 901, 267, 538, 2490, 267, 10597, 519, 10343, 540, 4487, 781, 5232, 1369, 519, 3782, 2146, 563, 13010, 267, 519, 1565, 1995, 6035, 676, 4487, 781, 4110, 3292, 28382, 3782, 4648, 609, 3407, 1983, 543, 1702, 269, 1452, 3292, 1419, 9192, 7811, 17440, 609, 4052, 2866, 267, 3850, 1053, 547, 2744, 513, 4514, 1620, 540, 741, 2361, 269, 1635, 18167, 883, 7463, 2127, 540, 1353, 267, 971, 607, 3782, 7245, 267, 1857, 1072, 267, 610, 8808, 267, 4648, 666, 1020, 6791, 602, 568, 3810, 8179, 1310, 538, 519, 2872, 269, 634, 11601, 540, 4359, 1702, 998, 4487, 781, 4110, 3292, 10597, 3318, 16169, 543, 25242, 10343, 1369, 519, 3782, 5823, 563, 1103, 1840, 547, 7939, 543, 1565, 267, 519, 1514, 1764, 540, 4487, 781, 5232, 538, 519, 1072, 5823, 3112, 581, 15763, 269, 1306, 3782, 1949, 11441, 547, 1683, 519, 1655, 2009, 1416, 547, 741, 5095, 267, 519, 6791, 543, 5718, 1983, 6591, 998, 4487, 781, 4110, 3292, 1831, 7533, 269, 28968, 609, 4359, 5232, 666, 3565, 547, 519, 1646, 543, 6388, 540, 5499, 3782, 4507, 267, 2087, 3461, 4093, 267, 543, 3986, 2949, 3782, 6765, 269, 901, 2318, 1514, 1764, 2417, 4570, 919, 519, 10343, 543, 1871, 540, 4487, 781, 5232, 538, 519, 1072, 5823, 563, 10890, 9235, 538, 11894, 568, 835, 1858, 1141, 519, 10343, 540, 4487, 781, 5232, 666, 581, 4767, 269, 11894, 814, 7153, 607, 513, 2442, 10278, 585, 2043, 5275, 3782, 2533, 267, 1519, 7463, 5574, 543, 5773, 269, 634, 4527, 540, 3810, 11727, 543, 13473, 3782, 4648, 267, 1082, 540, 7247, 3180, 4487, 781, 5232, 267, 8309, 547, 519, 10639, 543, 10343, 540, 11894, 607, 513, 13398, 585, 1072, 9235, 269, 14904, 689, 1472, 519, 1158, 3972, 538, 519, 6791, 543, 2298, 540, 1416, 3177, 676, 891, 4648, 267, 2417, 17923, 519, 4644, 540, 4487, 781, 5232, 538, 519, 1072, 5823, 563, 1103, 3932, 267, 519, 10343, 540, 4487, 781, 5232, 538, 519, 1072, 5823, 568, 6766, 676, 7939, 267, 1565, 267, 543, 1514, 1764, 269, 28597, 609, 6042, 5849, 602, 891, 3292, 2743, 2872, 4441, 267, 1247, 519, 11601, 540, 4359, 1702, 10597, 3318, 16169, 269, 5015, 267, 4648, 609, 4487, 781, 5232, 3565, 547, 519, 1514, 1764, 540, 3782, 998, 741, 6791, 543, 5718, 1983, 269, 769, 519, 2796, 540, 1072, 9235, 538, 11894, 267, 519, 10343, 540, 4487, 781, 5232, 4249, 513, 2629, 1909, 538, 9591, 519, 2197, 607, 513, 11967, 10278, 585, 1164, 7779, 3782, 2533, 563, 288, 18043, 6651, 547, 519, 13595, 540, 2657, 21094, 538, 11894, 281, 26959, 543, 4578, 454, 1103, 2487, 1296, 267, 1072, 9235, 814, 6591, 1713, 8560, 1851, 2043, 5275, 2298, 3782, 2533, 693, 10097, 5777, 269, 11894, 267, 538, 1880, 267, 814, 7153, 607, 513, 3056, 10278, 585, 2564, 5574, 267, 19788, 2550, 689, 782, 936, 519, 1158, 269, 769, 713, 3102, 3391, 267, 649, 786, 5490, 883, 519, 1641, 540, 1072, 9235, 538, 11894, 267, 2519, 593, 519, 3790, 3238, 543, 519, 2139, 1239, 563, 2691, 621, 2501, 547, 1072, 9235, 538, 11894, 267, 835, 540, 519, 1034, 13267, 3344, 568, 519, 1942, 5413, 269, 22702, 547, 1082, 824, 2477, 267, 2564, 5574, 538, 11894, 2709, 11108, 1871, 585, 2724, 1510, 18731, 593, 2298, 269, 634, 15028, 5385, 3928, 267, 13745, 609, 519, 2539, 5665, 3790, 538, 519, 2197, 267, 3565, 547, 519, 26622, 540, 3782, 2533, 563, 763, 1942, 540, 2564, 5574, 538, 11894, 666, 4268, 4470, 593, 519, 1826, 540, 5650, 543, 519, 1377, 540, 1416, 2838, 269, 1717, 267, 538, 2489, 267, 2550, 666, 2503, 547, 4688, 9170, 689, 476, 2004, 260, 547, 476, 3583, 260, 3379, 547, 519, 5777, 538, 741, 1753, 2477, 269, 901, 1713, 1942, 3017, 814, 1500, 11894, 606, 10694, 4781, 585, 2043, 5275, 5574, 971, 607, 23815, 23361, 267, 5959, 5773, 267, 12680, 5574, 267, 543, 1082, 1866, 563, 2414, 1683, 11413, 543, 4217, 1761, 2550, 538, 1818, 5483, 3664, 267, 1585, 3906, 543, 5238, 538, 11894, 2445, 543, 5659, 1239, 1644, 547, 1072, 9235, 269, 1452, 1239, 2959, 2709, 3407, 4030, 883, 519, 1967, 3928, 267, 3461, 9547, 2157, 267, 543, 2949, 2298, 540, 3782, 2533, 538, 519, 2197, 563, 3080, 971, 1239, 2707, 568, 519, 15349, 12080, 540, 2657, 267, 799, 5781, 32245, 5359, 543, 7194, 3823, 519, 2773, 540, 3782, 6703, 2066, 519, 2197, 269, 1452, 5359, 1331, 1344, 593, 519, 1297, 540, 5773, 5340, 267, 519, 1967, 3928, 267, 543, 519, 9547, 2157, 540, 2550, 269, 3958, 267, 4830, 3906, 899, 519, 15349, 16195, 13488, 7027, 849, 1683, 1239, 543, 2200, 547, 3391, 2043, 538, 741, 1072, 9235, 3460, 563, 16966, 532, 543, 16208, 713, 1239, 666, 581, 513, 3407, 1907, 585, 2550, 6236, 1072, 9235, 538, 11894, 269, 1635, 7421, 1967, 3928, 543, 3461, 9547, 2157, 267, 2043, 666, 2744, 6015, 538, 519, 2298, 540, 3782, 2533, 6035, 538, 519, 2197, 269, 901, 1239, 12454, 1935, 2636, 2550, 547, 1118, 1134, 26455, 3664, 543, 3442, 519, 1034, 5078, 3782, 9744, 585, 741, 1808, 2115, 563, 1103, 3932, 267, 1072, 9235, 538, 11894, 814, 1831, 513, 1641, 540, 1390, 1719, 585, 2043, 5275, 10097, 543, 1164, 7779, 2564, 5574, 269, 2060, 519, 1942, 5413, 543, 519, 8244, 540, 6325, 1239, 267, 2550, 666, 18390, 2263, 519, 1585, 3782, 3681, 538, 11894, 269, 1635, 1620, 519, 1641, 267, 3790, 267, 543, 9001, 519, 2139, 1239, 267, 2043, 666, 7832, 593, 741, 1072, 9235, 3460, 609, 4708, 540, 2247, 543, 519, 22059, 540, 8391, 5140, 2564, 1416, 563, 763, 11957, 540, 11038, 16214, 538, 5403, 12392, 2657, 4065, 454, 1103, 519, 2361, 540, 3782, 267, 2022, 12392, 2069, 4249, 513, 4105, 1909, 538, 4180, 602, 3782, 4648, 3251, 909, 3562, 15082, 609, 519, 5767, 7760, 543, 2553, 538, 741, 9757, 4610, 269, 1717, 267, 13197, 2022, 12392, 2069, 666, 1419, 581, 513, 14427, 20089, 269, 4475, 267, 621, 568, 2629, 547, 2932, 513, 9488, 2883, 6268, 1354, 25054, 593, 713, 3872, 3460, 563, 300, 2292, 568, 606, 1898, 4199, 267, 543, 1620, 875, 621, 786, 581, 8246, 1282, 2022, 12392, 2069, 568, 540, 25932, 2956, 269, 1635, 10647, 513, 2883, 6268, 267, 3782, 4648, 666, 2708, 741, 1699, 2883, 3510, 543, 3313, 952, 789, 723, 519, 2556, 2200, 547, 2508, 741, 2069, 269, 901, 6268, 786, 948, 873, 1118, 5483, 3664, 827, 519, 23250, 540, 13197, 2022, 12392, 2069, 543, 2327, 602, 789, 616, 711, 21002, 2989, 609, 7050, 2883, 2566, 563, 8070, 12392, 2069, 1419, 3340, 1713, 2883, 9541, 267, 1519, 24875, 12375, 267, 9499, 267, 1353, 2326, 267, 543, 2713, 9276, 269, 1635, 10442, 891, 3790, 267, 3782, 4648, 666, 1711, 513, 10853, 6578, 543, 2697, 1761, 18817, 585, 2883, 1489, 267, 971, 607, 25689, 267, 14828, 267, 610, 12029, 269, 7743, 2883, 4058, 786, 5512, 873, 547, 4383, 741, 9276, 3927, 543, 2057, 11991, 2883, 8833, 563, 12234, 267, 513, 2883, 6268, 2636, 3782, 4648, 547, 2708, 519, 1761, 2132, 593, 5092, 630, 4629, 296, 264, 540, 741, 2022, 12392, 2069, 269, 1358, 666, 2015, 519, 1764, 519, 2069, 786, 723, 593, 741, 4876, 16548, 267, 13120, 3255, 267, 543, 15980, 1761, 269, 1635, 1620, 891, 1761, 2640, 267, 3782, 4648, 666, 1118, 606, 5483, 3375, 827, 2436, 519, 5092, 538, 2022, 12392, 2069, 20383, 609, 741, 1279, 3856, 4876, 3853, 563, 307, 24642, 880, 2657, 21094, 281, 2657, 9235, 538, 11894, 568, 513, 6385, 3395, 2872, 602, 3091, 1585, 2564, 543, 3782, 2533, 547, 3486, 2550, 269, 2060, 922, 1533, 6361, 7308, 19603, 2564, 6703, 267, 3810, 9952, 3782, 4648, 267, 543, 10097, 3790, 267, 11894, 814, 1831, 513, 2442, 10278, 585, 2043, 5275, 2298, 3782, 2533, 267, 1519, 2022, 12392, 2069, 269, 16195, 4648, 6236, 2022, 12392, 2069, 666, 2263, 519, 7399, 540, 9256, 741, 3872, 3460, 609, 1072, 9235, 538, 11894, 267, 30364, 689, 519, 2197, 781, 12021, 3782, 5989, 543, 2686, 2833, 563, 1103, 3932, 267, 10647, 513, 9488, 2883, 6268, 568, 2629, 585, 3782, 4648, 6236, 2022, 12392, 2069, 269, 1635, 12570, 741, 2883, 2200, 267, 10442, 519, 3790, 267, 543, 6236, 519, 1761, 21614, 296, 267, 789, 666, 1118, 5483, 3664, 827, 13197, 2417, 2069, 269, 3958, 267, 6236, 519, 3255, 6035, 676, 1072, 9235, 538, 11894, 666, 1683, 606, 3773, 5413, 538, 2474, 540, 2298, 2069, 543, 2686, 2833, 269, 1635, 26724, 2883, 6268, 267, 3782, 4648, 666, 2327, 513, 3811, 543, 4264, 2022, 12392, 2069, 3460, 563, 763, 11957, 540, 6406, 32310, 585, 2657, 543, 6554, 454, 290, 2753, 14261, 568, 513, 4105, 1184, 602, 3322, 519, 14261, 540, 4105, 2621, 267, 971, 607, 24570, 267, 22888, 267, 543, 7972, 267, 1369, 513, 2197, 269, 898, 568, 606, 1898, 1907, 585, 4509, 4977, 2551, 1239, 543, 4180, 519, 1134, 5630, 543, 1072, 540, 2043, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 4644, 540, 3540, 14261, 538, 519, 2796, 540, 1072, 543, 2229, 267, 10223, 922, 1909, 538, 5009, 10343, 543, 10014, 1369, 2486, 563, 3080, 540, 519, 1883, 2640, 540, 3540, 14261, 568, 922, 2702, 547, 1683, 6608, 609, 3407, 1239, 585, 2500, 3609, 4058, 543, 4199, 14305, 269, 3414, 519, 14261, 540, 4105, 2621, 267, 6608, 666, 5531, 1344, 827, 519, 1072, 3466, 543, 2115, 540, 741, 2551, 269, 901, 1239, 2337, 538, 7114, 2127, 602, 2154, 6098, 7459, 543, 2636, 585, 519, 1646, 540, 2963, 2861, 3782, 4507, 269, 1280, 3236, 267, 676, 7421, 4332, 14261, 1239, 267, 6608, 666, 2697, 4525, 609, 1970, 31331, 3928, 543, 28433, 2994, 547, 2087, 1569, 547, 31331, 2533, 563, 11101, 267, 3540, 14261, 4249, 513, 2629, 1909, 538, 4180, 519, 11865, 540, 1898, 1072, 2533, 547, 782, 2043, 267, 7488, 540, 741, 1893, 610, 4282, 269, 1635, 11578, 532, 4105, 2621, 267, 2043, 2744, 1569, 547, 3782, 6703, 543, 2533, 267, 7175, 873, 547, 4309, 3617, 2564, 1416, 269, 634, 14261, 1184, 2337, 9004, 7496, 602, 949, 8451, 1813, 547, 1893, 610, 2686, 3604, 267, 5009, 10343, 543, 13784, 1369, 519, 3782, 1062, 563, 1103, 1840, 547, 922, 7525, 2640, 267, 3540, 14261, 849, 16881, 1382, 543, 2079, 538, 519, 2361, 540, 1072, 269, 12824, 666, 8415, 2551, 1239, 5833, 998, 3540, 14261, 547, 2697, 1072, 3466, 267, 1353, 2068, 9860, 267, 543, 6218, 519, 7145, 540, 3782, 7459, 269, 901, 1382, 267, 538, 2490, 267, 8309, 547, 519, 1646, 540, 1007, 2994, 543, 4485, 547, 2087, 1072, 4093, 563, 10890, 9235, 538, 11894, 568, 1776, 2460, 1141, 3540, 14261, 4249, 513, 1713, 1909, 269, 1635, 7598, 513, 7347, 3540, 14261, 1062, 267, 11894, 5849, 602, 2043, 9683, 519, 2197, 585, 2564, 5301, 616, 3769, 538, 519, 3782, 1062, 269, 901, 711, 1152, 2636, 585, 4977, 5464, 540, 1072, 9235, 855, 849, 5849, 602, 8436, 4309, 519, 2556, 3782, 2533, 1282, 741, 3251, 563, 1103, 3932, 267, 3540, 14261, 568, 1898, 585, 1312, 1072, 543, 2229, 9922, 269, 898, 2488, 6608, 609, 3407, 1239, 585, 3609, 4058, 543, 4199, 14305, 267, 8992, 10343, 543, 13784, 1369, 519, 3782, 1062, 267, 543, 16881, 1382, 543, 2079, 269, 1635, 9301, 519, 4644, 540, 3540, 14261, 267, 2477, 899, 11894, 666, 2417, 7794, 741, 3782, 1949, 543, 2327, 519, 1134, 5630, 540, 741, 2551, 267, 1519, 1072, 14666, 563, 763, 20504, 766, 17714, 281, 589, 9906, 781, 15232, 538, 2657, 5829, 20043, 454, 2026, 513, 2875, 267, 519, 3460, 540, 10343, 883, 1072, 5829, 6030, 666, 581, 1312, 3078, 543, 4101, 269, 898, 568, 513, 942, 540, 2208, 267, 1565, 267, 543, 2123, 1646, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 2833, 543, 4664, 602, 2097, 609, 10343, 883, 891, 6030, 267, 543, 875, 621, 5546, 519, 674, 7473, 675, 540, 14971, 3782, 4648, 563, 10907, 1061, 766, 883, 513, 1072, 5829, 1576, 568, 513, 1713, 24182, 585, 1022, 2875, 269, 898, 568, 513, 15418, 540, 741, 2182, 960, 267, 11428, 267, 543, 6612 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 621, 3274, 267, 1577, 781, 2161, 602, 891, 616, 11864, 2507, 799, 2482, 5798, 256, 901, 568, 519, 2013, 18854, 515, 577, 573, 3534, 267, 799, 568, 24188, 540, 513, 21963, 32120, 609, 1279, 838, 1149, 267, 543, 680, 520, 2988, 639, 269, 1677, 1106, 519, 8545, 267, 10828, 814, 621, 602, 519, 29763, 10356, 782, 602, 729, 2451, 538, 1010, 4558, 281, 513, 21868, 781, 581, 752, 543, 7953, 267, 513, 581, 11232, 2766, 543, 606, 17333, 614, 1560, 2507, 1284, 1577, 596, 4952, 519, 1267, 2336, 2026, 585, 7286, 2831, 267, 1082, 1804, 11864, 616, 1459, 711, 2484, 689, 519, 5032, 540, 31005, 807, 281, 16385, 267, 20910, 267, 23522, 269, 1411, 666, 849, 7747, 32463, 972, 563, 1103, 3084, 11614, 267, 2523, 693, 3781, 6420, 267, 596, 666, 1294, 930, 540, 891, 2831, 909, 2673, 269, 25334, 4548, 610, 3774, 28320, 786, 711, 19292, 547, 2097, 543, 561, 1157, 707, 1494, 4420, 1682, 269, 898, 781, 20036, 267, 855, 1810, 1405, 1577, 602, 1205, 596, 1524, 281, 621, 568, 24193, 547, 3049, 873, 269, 898, 568, 585, 741, 1434, 2336, 2252, 596, 5397, 693, 3781, 267, 3007, 711, 547, 2196, 936, 609, 29749, 3283, 269, 20000, 5402, 2336, 307, 553, 2006, 807, 814, 267, 585, 2147, 4128, 267, 513, 2189, 18508, 538, 519, 1158, 269, 27951, 552, 32023, 4054, 543, 4054, 540, 22300, 5169, 1106, 513, 5318, 3119, 4104, 267, 2221, 12219, 676, 19883, 799, 568, 1419, 1360, 14605, 7307, 269, 0, 2171, 2461, 18822, 538, 713, 1554, 543, 2085, 602, 649, 723, 2834, 24422, 543, 7453, 6042, 585, 1426, 3106, 543, 2978, 2454, 267, 2705, 1394, 538, 519, 476, 5197, 271, 779, 267, 519, 16972, 779, 14201, 1406, 865, 18822, 269, 5600, 342, 1161, 2968, 606, 7952, 540, 791, 668, 696, 340, 2447, 1235, 865, 602, 789, 1223, 3605, 1018, 2186, 540, 1426, 2048, 611, 592, 614, 725, 685, 941, 8345, 547, 519, 1426, 543, 5820, 789, 941, 4189, 543, 1210, 563, 763, 18917, 779, 18738, 519, 31543, 10872, 1336, 856, 875, 3694, 568, 1500, 19951, 267, 543, 849, 875, 1919, 723, 4957, 2094, 519, 16972, 2053, 269, 3689, 513, 1600, 538, 2904, 476, 1001, 276, 267, 713, 3694, 12558, 729, 7368, 1282, 519, 2487, 8285, 1974, 799, 3893, 721, 3206, 827, 1699, 6042, 543, 1426, 3106, 4441, 3379, 547, 16972, 2053, 563, 12988, 538, 16972, 4789, 267, 1472, 476, 382, 378, 540, 1426, 593, 9042, 1185, 1044, 512, 2086, 1229, 609, 538, 930, 1259, 267, 3694, 1373, 519, 10782, 27521, 269, 27294, 899, 11849, 267, 5070, 267, 25879, 543, 620, 636, 267, 1851, 1866, 267, 941, 1031, 547, 13557, 856, 519, 3694, 543, 1118, 621, 1413, 627, 3438, 543, 8273, 585, 1447, 2724, 269, 30052, 267, 713, 4389, 519, 9422, 2298, 540, 519, 3694, 543, 3648, 2799, 519, 1981, 540, 11591, 21539, 320, 543, 4576, 267, 799, 1223, 538, 2490, 2014, 2417, 2042, 2066, 513, 2146, 563, 6635, 11037, 10830, 670, 817, 531, 729, 513, 3703, 10629, 267, 2447, 626, 543, 9145, 641, 626, 945, 729, 5097, 1634, 585, 1010, 960, 538, 1857, 1072, 543, 1426, 3106, 269, 1261, 6594, 1426, 13277, 614, 566, 538, 519, 476, 6977, 271, 338, 267, 543, 1310, 1373, 18617, 602, 1010, 6995, 729, 1373, 13572, 676, 669, 545, 800, 267, 646, 3370, 1082, 5359, 538, 634, 31102, 630, 320, 9263, 24595, 2564, 4760, 1070, 799, 3366, 2047, 547, 519, 476, 5908, 271, 1426, 13277, 614, 566, 957, 543, 1287, 547, 7766, 9086, 1996, 519, 2259, 563, 763, 3312, 957, 543, 7766, 9086, 723, 3366, 547, 938, 5140, 1426, 3106, 4031, 538, 519, 1459, 1554, 543, 729, 2693, 849, 606, 3355, 18463, 585, 1434, 2259, 1949, 971, 607, 670, 3722, 9573, 538, 519, 1426, 543, 20892, 5663, 2872, 563, 15933, 2978, 2454, 814, 1419, 1044, 538, 519, 24657, 540, 519, 3377, 936, 519, 2250, 1032, 267, 543, 1141, 2978, 2454, 568, 1271, 547, 2327, 5561, 917, 1018, 568, 538, 519, 1587, 789, 2461, 9140, 267, 621, 568, 8449, 1271, 602, 1346, 5663, 519, 1426, 6221, 5749, 1406, 4929, 1022, 3444, 9762, 8727, 540, 23480, 610, 824, 1164, 16151, 5820, 269, 901, 568, 1141, 670, 3722, 9573, 2501, 538, 563, 295, 3722, 9573, 630, 327, 1794, 731, 2079, 543, 2565, 1852, 2798, 264, 568, 513, 1434, 2259, 1062, 1759, 593, 30228, 519, 10898, 538, 1022, 3510, 543, 7114, 519, 2798, 602, 991, 5464, 543, 9013, 269, 2290, 540, 519, 1655, 2409, 547, 2057, 3444, 9762, 8727, 568, 547, 2327, 602, 782, 2127, 616, 5094, 267, 543, 7990, 27573, 547, 2057, 1022, 1164, 16151, 5820, 267, 610, 1022, 4551, 1373, 16487, 1472, 519, 12051, 563, 15933, 3106, 568, 835, 540, 519, 7887, 543, 1034, 14053, 1919, 540, 938, 942, 267, 2523, 609, 3059, 2923, 3850, 6800, 547, 581, 811, 3222, 540, 1426, 543, 519, 3157, 547, 5478, 621, 543, 519, 17804, 1072, 2640, 543, 12178, 2404, 609, 621, 563, 19400, 519, 18917, 12558, 1934, 630, 19989, 2394, 476, 2918, 628, 3967, 476, 1001, 280, 2567, 630, 516, 10589, 851, 689, 476, 5379, 269, 3374, 25008, 547, 476, 7906, 269, 6872, 25008, 994, 4131, 721, 917, 1018, 707, 4555, 616, 593, 519, 16972, 16097, 585, 1818, 4948, 1426, 560, 32332, 899, 3694, 267, 543, 1018, 596, 917, 827, 519, 1426, 3106, 543, 2978, 2454, 4031, 19951, 269, 0, 30812, 1431, 602, 1860, 519, 11178, 14189, 543, 1118, 621, 14524, 531, 616, 1634, 607, 11178, 3676, 269, 634, 11178, 4249, 606, 1271, 1909, 538, 15725, 3875, 10894, 3157, 2429, 519, 1560, 269, 7756, 2010, 540, 11178, 4713, 1860, 2901, 922, 1599, 610, 2497, 563, 2467, 616, 1808, 5686, 540, 11178, 3676, 602, 1331, 912, 1692, 616, 11178, 3676, 8995, 888, 30509, 689, 513, 2168, 981, 267, 7463, 4255, 616, 1031, 547, 13209, 11178, 4713, 563, 2414, 2268, 2157, 540, 11178, 10399, 543, 570, 17239, 267, 1973, 4255, 616, 2944, 269, 2659, 4387, 949, 849, 1931, 1973, 4255, 547, 2697, 12489, 1996, 11178, 5160, 563, 2691, 11178, 12162, 2737, 610, 23822, 906, 616, 1459, 267, 9196, 4255, 616, 4122, 1031, 269, 8299, 14647, 666, 1419, 7866, 30219, 610, 18287, 5874, 563, 2414, 6218, 519, 1599, 540, 11178, 12162, 2737, 11178, 18767, 1210, 14599, 22752, 616, 1419, 5340, 563, 293, 710, 13549, 8321, 566, 543, 23707, 616, 2553, 602, 4894, 513, 3732, 540, 2281, 610, 5160, 689, 519, 11178, 14189, 585, 6514, 543, 5868, 563, 1432, 568, 519, 2126, 585, 11178, 3676, 888, 1320, 8557, 4713, 616, 2356, 5701, 676, 6527, 267, 855, 538, 930, 2665, 267, 6391, 568, 2838, 563, 1103, 1034, 2665, 267, 11178, 3676, 616, 711, 1272, 18446, 543, 666, 581, 1134, 7307, 609, 2564, 2126, 269, 634, 19773, 585, 1034, 1004, 609, 11178, 2860, 568, 849, 1434, 267, 855, 2550, 609, 11178, 2860, 723, 513, 25013, 23567, 952, 621, 814, 3262, 2429, 519, 1560, 563, 29797, 1054, 21633, 3112, 581, 6417, 676, 4189, 513, 1808, 1426, 610, 2921, 9360, 269, 1809, 789, 666, 1118, 596, 1745, 1732, 267, 2061, 519, 2068, 543, 2539, 707, 2566, 563, 16605, 5455, 513, 13245, 10791, 454, 763, 1883, 547, 4189, 1134, 568, 2048, 25270, 9957, 589, 7059, 2732, 666, 581, 5363, 585, 11178, 2550, 269, 1717, 267, 585, 5883, 11178, 2068, 972, 779, 1100, 2027, 7594, 1544, 269, 12846, 267, 596, 666, 20758, 1055, 519, 2068, 676, 1739, 513, 1134, 28394, 2331, 2732, 563, 16521, 513, 2647, 2039, 540, 5388, 543, 5613, 269, 16202, 10477, 3283, 899, 22481, 267, 15708, 267, 543, 18683, 269, 7994, 1426, 799, 568, 1164, 538, 2635, 14434, 563, 21918, 527, 1426, 899, 2699, 5779, 267, 799, 568, 16041, 609, 15459, 3170, 269, 3417, 811, 16872, 267, 799, 568, 1164, 538, 2635, 15060, 268, 274, 9761, 7408, 563, 7069, 2012, 568, 2398, 520, 10216, 932, 752, 2742, 267, 594, 2097, 689, 16273, 269, 594, 3357, 547, 16441, 333, 2967, 547, 1205, 2126, 585, 2860, 538, 1250, 1318, 6089, 563, 7804, 269, 14465, 1575, 686, 5984, 5701, 1250, 3993, 585, 2634, 2860, 269, 6969, 4358, 2126, 267, 1250, 3993, 729, 1360, 7255, 827, 2427, 2360, 454, 7069, 2012, 568, 642, 643, 603, 752, 15546, 267, 2918, 1296, 2025, 267, 594, 993, 4947, 689, 590, 22567, 17249, 269, 594, 13455, 2789, 7063, 538, 513, 4155, 6808, 8009, 454, 7069, 2012, 568, 17286, 1998, 27232, 14741, 267, 594, 729, 8995, 609, 2860, 538, 519, 1426, 10612, 693, 519, 2085, 540, 476, 3393, 1296, 269, 1879, 594, 454, 7069, 2012, 568, 590, 12541, 643, 553, 534, 269, 3733, 7385, 20289, 21468, 729, 8995, 609, 8609, 10001, 6089, 2860, 607, 1200, 10510, 1185, 3262, 547, 2634, 269, 0, 1432, 4010, 568, 606, 14391, 566, 888, 2304, 14391, 566, 568, 1454, 811, 982, 3274, 513, 5618, 5758, 540, 513, 2376, 267, 3391, 267, 4950, 3135, 610, 824, 2511, 540, 1433, 269, 1323, 14391, 566, 1058, 2709, 6190, 1344, 799, 786, 1118, 513, 5467, 3313, 2436, 547, 1294, 519, 2347, 960, 269, 10925, 8335, 267, 538, 519, 2680, 602, 5304, 1185, 1044, 10992, 856, 519, 3169, 1482, 1641, 607, 596, 267, 568, 713, 1587, 5363, 540, 1576, 865, 267, 1946, 888, 4407, 606, 7493, 849, 26564, 513, 2328, 5346, 267, 3391, 267, 4950, 3135, 610, 824, 4990, 540, 1433, 267, 621, 2731, 568, 9003, 10855, 269, 4014, 14391, 725, 1223, 581, 10855, 267, 538, 1840, 789, 2874, 540, 10058, 2934, 827, 513, 1587, 269, 1323, 2254, 725, 949, 581, 2976, 894, 543, 2565, 1256, 607, 649, 1522, 1265, 2899, 649, 2015, 519, 1079, 2101, 5686, 540, 14391, 725, 563, 2304, 23064, 15853, 568, 606, 11231, 1305, 540, 2959, 630, 971, 607, 585, 3236, 513, 3391, 1592, 1040, 898, 15320, 689, 513, 2241, 15853, 585, 519, 2601, 602, 1142, 3391, 568, 4553, 5702, 676, 513, 5037, 2450, 14391, 566, 267, 2356, 476, 1911, 8563, 28674, 2108, 1220, 2474, 538, 2698, 269, 2060, 14621, 547, 519, 1788, 267, 513, 15853, 602, 568, 23064, 723, 1585, 5301, 912, 13528, 338, 540, 23064, 12190, 13132, 454, 2467, 616, 476, 273, 2101, 3029, 540, 23064, 12190, 13132, 912, 1103, 845, 894, 610, 10855, 454, 288, 10855, 610, 13181, 23064, 15853, 11225, 610, 26564, 513, 3761, 607, 1281, 606, 7493, 267, 621, 6257, 1946, 519, 5748, 17188, 547, 585, 15388, 513, 1978, 1641, 610, 6161, 267, 922, 10058, 2934, 269, 769, 1840, 267, 621, 11225, 544, 7251, 537, 6549, 779, 3119, 7440, 543, 8753, 1510, 12570, 1175, 4010, 1018, 519, 5856, 3081, 610, 20147, 563, 1607, 2110, 2376, 11225, 513, 1297, 540, 519, 7965, 3875, 11923, 7237, 950, 28006, 689, 2564, 547, 513, 12016, 17874, 1870, 602, 568, 3656, 269, 8672, 532, 856, 2152, 540, 960, 3734, 3666, 267, 2059, 609, 519, 21441, 540, 6964, 676, 1776, 1268, 8957, 2324, 593, 707, 1378, 267, 519, 5856, 2488, 741, 1367, 1995, 607, 1373, 513, 1565, 1907, 269, 634, 3003, 1184, 540, 4742, 11346, 1175, 3884, 1406, 2356, 14437, 827, 538, 2474, 540, 2564, 267, 543, 25864, 12538, 883, 1175, 519, 1360, 1360, 1101, 476, 1321, 3275, 540, 4098, 513, 1753, 1759, 1870, 269, 5384, 7245, 267, 4509, 513, 1699, 4305, 267, 3375, 6194, 267, 543, 2899, 596, 1174, 3054, 547, 581, 2111, 547, 3895, 707, 1582, 616, 14437, 827, 609, 513, 1906, 1344, 269, 634, 5856, 5170, 593, 547, 11963, 621, 856, 1898, 1312, 519, 8808, 2146, 602, 568, 3318, 581, 909, 547, 513, 6216, 1007, 2754, 267, 4061, 519, 991, 585, 30023, 607, 1312, 519, 6497, 2465, 543, 21927, 538, 1808, 1967, 799, 666, 581, 4362, 998, 4274, 4296, 269, 634, 2376, 8563, 28674, 12814, 338, 1445, 593, 4052, 5796, 585, 11923, 16462, 547, 2253, 741, 1880, 2754, 3085, 1406, 1033, 847, 998, 519, 5796, 827, 8471, 12959, 540, 20835, 2306, 713, 4930, 540, 1390, 1719, 547, 606, 5304, 602, 568, 2647, 8573, 4474, 563, 22860, 3749, 610, 2565, 454, 2304, 10763, 610, 2565, 2328, 1250, 1557, 14391, 566, 6148, 711, 1175, 26564, 519, 2326, 267, 621, 23607, 1018, 779, 1373, 7150, 269, 898, 12116, 519, 15421, 543, 12755, 540, 1018, 779, 4843, 2059, 609, 10503, 519, 31675, 2404, 609, 519, 5856, 779, 8753, 883, 519, 1382, 1373, 5645, 856, 563, 1607, 2110, 2376, 11225, 513, 1906, 540, 519, 8373, 1082, 11923, 7237, 950, 28006, 689, 2564, 547, 513, 8808, 13930, 1870, 602, 568, 17874, 269, 634, 3604, 540, 2324, 585, 2576, 3116, 8957, 2324, 585, 3054, 267, 6725, 267, 543, 824, 1870, 2152, 519, 2278, 8563, 28674, 12814, 338, 2709, 540, 1152, 741, 2123, 1995, 568, 5618, 609, 1906, 610, 1100, 4244 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1130, 281, 703, 264, 9847, 7183, 912, 1038, 952, 4994, 2652, 1582, 7456, 1235, 1125, 912, 2018, 1582, 14491, 4263, 307, 841, 263, 1998, 994, 1038, 8640, 4994, 2999, 1582, 7456, 1235, 1125, 912, 2018, 1293, 815, 476, 271, 454, 2018, 1582, 7456, 1235, 1125, 815, 1582, 7456, 1235, 1125, 1341, 476, 272, 454, 2018, 3180, 318, 3650, 815, 1582, 23584, 454, 2018, 1948, 8620, 1007, 19219, 454, 2018, 1007, 27161, 815, 5903, 11966, 263, 1998, 2020, 2018, 1247, 1582, 23584, 568, 711, 7183, 912, 3546, 952, 1293, 2652, 4994, 910, 476, 272, 912, 7386, 683, 343, 284, 1345, 23584, 12785, 454, 7386, 1582, 23584, 12785, 284, 928, 1233, 1712, 454, 7386, 1007, 27161, 12785, 284, 10811, 454, 7386, 2736, 454, 3546, 952, 1293, 11203, 4994, 910, 476, 272, 912, 7386, 1582, 23584, 284, 1582, 23584, 12785, 454, 7386, 1293, 284, 1293, 1341, 476, 272, 454, 2018, 1582, 23584, 815, 3180, 318, 3650, 692, 1038, 8173, 1038, 5410, 513, 6843, 540, 1871, 1130, 1354, 519, 4994, 6253, 6843, 538, 519, 5532, 1592, 269, 1403, 4994, 11224, 547, 519, 3259, 540, 5532, 1592, 267, 519, 6843, 786, 581, 813, 2105, 547, 519, 1439, 540, 5532, 1592, 269, 1403, 4994, 568, 3152, 982, 519, 3259, 267, 519, 6843, 786, 711, 581, 17332, 563, 1038, 29185, 825, 1219, 18419, 4263, 19340, 4311, 267, 4994, 281, 703, 264, 9847, 7183, 912, 1038, 952, 4994, 10922, 1582, 7456, 1235, 1125, 912, 2018, 1293, 815, 476, 271, 454, 2018, 3180, 318, 3650, 284, 1582, 23584, 454, 2018, 7173, 22561, 454, 2018, 1247, 1582, 23584, 912, 3546, 952, 1293, 11203, 4994, 912, 7386, 7173, 284, 1345, 23584, 454, 7386, 1582, 23584, 284, 1345, 23584, 12785, 454, 7386, 1293, 815, 1293, 1341, 476, 272, 454, 3546, 8640, 1293, 2652, 4994, 912, 7386, 7173, 12785, 815, 1582, 23584, 12785, 454, 7386, 1582, 7456, 1235, 1125, 284, 1582, 7456, 1235, 1125, 910, 476, 272, 454, 7386, 2736, 454, 2018, 1582, 23584, 815, 3180, 318, 3650, 454, 1038, 8173, 1038, 1546, 8541, 519, 4994, 6253, 6843, 538, 519, 5532, 1592, 267, 952, 519, 4994, 568, 4570, 563, 1038, 5727, 7531, 15062, 539, 8266, 284, 7069, 299, 22075, 8266, 4590, 15062, 539, 8266, 14491, 4263, 23175, 263, 272, 11850, 258, 15062, 539, 8266, 19709, 8541, 4263, 19340, 263, 271, 11850, 15062, 539, 8266, 14491, 4263, 307, 841, 263, 274, 11850, 15062, 539, 8266, 14491, 4263, 19340, 263, 272, 267, 476, 273, 5148, 476, 1948, 2260, 5532, 1592, 3587, 476, 272, 15010, 273, 15010, 274, 454, 343, 284, 15062, 539, 8266, 10947, 263, 272, 5148, 2018, 1948, 2260, 7024, 476, 273, 454, 15062, 539, 8266, 19709, 8541, 4263, 19340, 263, 271, 5148, 476, 1948, 2260, 1631, 519, 5532, 1592, 568, 476, 272, 15010, 274, 454, 344, 284, 15062, 539, 8266, 10947, 263, 271, 5148, 2018, 1948, 2260, 7024, 476, 274, 454, 16482, 2745, 3287, 267, 586, 264, 0, 5228, 17511, 1104, 5903, 454, 19417, 815, 1496, 271, 267, 272, 267, 271, 267, 273, 267, 272, 267, 271, 267, 272, 267, 274, 267, 273, 267, 272, 267, 273, 267, 272, 2639, 5035, 8827, 912, 825, 1219, 15972, 318, 1962, 583, 1030, 13396, 4311, 267, 4463, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 2698, 318, 4248, 815, 476, 271, 454, 1038, 952, 7003, 263, 19417, 264, 2999, 476, 273, 912, 2018, 2132, 2698, 318, 4248, 692, 1038, 1948, 20412, 622, 2698, 1216, 454, 1038, 585, 1775, 538, 2039, 263, 271, 267, 7003, 263, 19417, 15892, 2018, 561, 10946, 815, 3193, 263, 19417, 11468, 328, 1341, 476, 272, 7481, 2018, 678, 10946, 815, 3193, 263, 19417, 5157, 281, 7481, 2018, 1216, 10734, 5648, 284, 1295, 10857, 10946, 267, 678, 10946, 994, 2018, 554, 4248, 284, 1216, 10734, 5648, 910, 4463, 5157, 2639, 2018, 2698, 318, 4248, 284, 2698, 318, 4248, 1341, 554, 4248, 454, 1038, 2132, 2698, 318, 4248, 692, 825, 1219, 15972, 5091, 2106, 3133, 32491, 2719, 4311, 267, 4463, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 2698, 318, 4248, 815, 476, 271, 454, 1038, 952, 7003, 263, 19417, 264, 2999, 476, 273, 912, 2018, 2132, 2698, 318, 4248, 692, 1038, 1948, 840, 5173, 561, 10946, 585, 782, 519, 2418, 454, 1038, 561, 10946, 815, 1496, 14085, 316, 2608, 7003, 263, 19417, 994, 1038, 561, 10946, 314, 271, 316, 815, 4463, 314, 271, 2639, 1038, 585, 1775, 538, 2039, 263, 272, 267, 7003, 10857, 10946, 15892, 2018, 561, 10946, 5157, 316, 815, 3193, 263, 19417, 5157, 3910, 561, 10946, 5157, 910, 476, 272, 20285, 1038, 1948, 840, 5173, 678, 10946, 585, 782, 519, 2418, 454, 1038, 678, 10946, 815, 1496, 14085, 316, 2608, 7003, 263, 19417, 994, 1038, 678, 10946, 314, 6352, 10857, 10946, 264, 910, 476, 272, 316, 815, 4463, 314, 6352, 10857, 10946, 264, 910, 476, 272, 2639, 1038, 585, 1775, 538, 2039, 12759, 10857, 10946, 264, 910, 476, 273, 267, 910, 272, 267, 910, 272, 2187, 2018, 678, 10946, 5157, 316, 815, 3193, 263, 19417, 5157, 3910, 678, 10946, 5157, 1341, 476, 272, 20285, 1038, 1948, 5173, 2698, 1216, 454, 1038, 585, 1775, 538, 2039, 263, 271, 267, 7003, 263, 19417, 15892, 2018, 1216, 10734, 5648, 815, 1295, 10857, 10946, 5157, 3910, 678, 10946, 5157, 7481, 2018, 554, 4248, 815, 1216, 10734, 5648, 910, 4463, 5157, 2639, 2018, 2698, 318, 4248, 815, 2698, 318, 4248, 1341, 554, 4248, 454, 1038, 2132, 2698, 318, 4248, 7531, 825, 1219, 15972, 4311, 267, 4463, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 1000, 831, 815, 476, 271, 454, 1038, 952, 7003, 263, 19417, 264, 2999, 476, 273, 912, 2018, 2132, 1000, 831, 692, 1038, 1775, 284, 271, 454, 1038, 795, 284, 7003, 263, 19417, 9984, 272, 454, 1038, 561, 10946, 284, 19417, 5157, 2639, 1038, 678, 10946, 284, 19417, 14728, 2639, 1038, 1000, 831, 284, 271, 454, 1038, 1247, 1775, 11203, 795, 912, 2018, 952, 561, 10946, 10922, 678, 10946, 912, 3546, 2679, 318, 4248, 284, 561, 10946, 268, 4463, 5157, 2639, 3546, 1775, 815, 1775, 1341, 476, 272, 454, 3546, 561, 10946, 284, 3193, 10857, 10946, 267, 4463, 5157, 7481, 2018, 8640, 678, 10946, 2999, 561, 10946, 912, 3546, 2679, 318, 4248, 815, 678, 10946, 910, 4463, 14728, 2639, 3546, 795, 815, 795, 910, 476, 272, 454, 3546, 678, 10946, 815, 3193, 263, 3944, 1314, 267, 4463, 14728, 20285, 2018, 1000, 831, 815, 1000, 831, 1341, 2679, 318, 4248, 454, 1038, 2132, 1000, 831, 19638, 7531, 28128, 284, 11405, 4590, 2745, 263, 28128, 6745, 1905, 263, 19417, 4917, 0, 5228, 17511, 1104, 5903, 454, 5228, 10070, 1104, 18103, 1229, 291, 1112, 692, 5228, 10070, 1104, 632, 4302, 454, 5035, 31315, 29228, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 8700, 281, 703, 267, 4463, 281, 703, 267, 1426, 281, 5903, 314, 8266, 27776, 14963, 2187, 1038, 1582, 8807, 797, 815, 632, 4302, 6600, 797, 994, 1038, 1582, 23584, 305, 815, 476, 271, 454, 1038, 1582, 23584, 290, 815, 476, 271, 454, 1038, 1582, 4732, 333, 820, 815, 632, 4302, 8443, 271, 267, 271, 7481, 1038, 1582, 4732, 333, 820, 299, 523, 815, 476, 272, 454, 1038, 1582, 269, 16557, 815, 476, 271, 454, 1038, 1582, 9884, 5954, 815, 8700, 454, 1038, 1582, 269, 19417, 815, 4463, 7531, 825, 1219, 1847, 4311, 267, 4287, 281, 1193, 264, 9847, 703, 1384, 1038, 1948, 1524, 267, 1318, 267, 2451, 267, 909, 454, 1038, 25680, 322, 815, 27835, 291, 9166, 1496, 272, 267, 476, 271, 3910, 1412, 305, 9166, 1496, 271, 267, 476, 272, 3910, 1412, 308, 9166, 30585, 272, 267, 476, 271, 3910, 1412, 299, 9166, 1496, 271, 267, 910, 272, 316, 8679, 1038, 1948, 1205, 1847, 4287, 454, 1038, 1205, 291, 597, 815, 25680, 322, 314, 323, 3925, 2639, 1038, 1948, 2333, 519, 10974, 454, 1038, 1582, 23584, 305, 815, 1582, 23584, 305, 1341, 1205, 291, 597, 314, 271, 2639, 1038, 1582, 23584, 290, 815, 1582, 23584, 290, 1341, 1205, 291, 597, 314, 272, 2639, 1038, 1948, 568, 3014, 936, 454, 1038, 952, 1582, 23584, 305, 13843, 476, 271, 543, 1582, 23584, 305, 2999, 1582, 269, 19417, 543, 1582, 23584, 290, 13843, 476, 271, 543, 1582, 23584, 290, 2999, 1582, 9884, 5954, 912, 2018, 952, 7003, 4311, 8807, 797, 264, 3436, 271, 912, 3546, 1205, 15933, 815, 1582, 8807, 797, 314, 271, 2639, 3546, 952, 1582, 23584, 305, 2652, 1205, 15933, 314, 271, 316, 543, 1582, 23584, 290, 2652, 1205, 15933, 314, 272, 14158, 7386, 1582, 269, 16557, 815, 1582, 269, 16557, 1341, 476, 272, 454, 7386, 1582, 4732, 333, 820, 299, 523, 815, 1582, 4732, 333, 820, 299, 523, 1341, 476, 272, 454, 7386, 1582, 4732, 333, 820, 6910, 8443, 1345, 23584, 305, 267, 1582, 23584, 290, 7481, 7386, 1582, 8807, 797, 4877, 963, 1111, 4590, 3546, 3116, 912, 7386, 1582, 4732, 333, 820, 4877, 963, 1111, 4590, 7386, 952, 1496, 1345, 23584, 305, 267, 1582, 23584, 290, 316, 538, 1582, 4732, 333, 820, 912, 13376, 2132, 910, 272, 454, 7386, 1582, 4732, 333, 820, 6910, 8443, 1345, 23584, 305, 267, 1582, 23584, 290, 20285, 2018, 3116, 912, 3546, 1582, 4732, 333, 820, 4877, 963, 1111, 4590, 3546, 952, 1496, 1345, 23584, 305, 267, 1582, 23584, 290, 316, 538, 1582, 4732, 333, 820, 912, 7386, 2132, 910, 272, 454, 3546, 1582, 4732, 333, 820, 6910, 8443, 1345, 23584, 305, 267, 1582, 23584, 290, 316, 9239, 2018, 2132, 1582, 269, 16557, 454, 1038, 3116, 912, 2018, 2132, 910, 272, 7531, 28128, 815, 31315, 29228, 263, 274, 267, 476, 274, 267, 20886, 273, 267, 476, 271, 3910, 1496, 271, 267, 271, 3910, 1496, 271, 267, 476, 273, 3910, 1496, 271, 267, 476, 272, 25662, 273, 267, 273, 25662, 271, 267, 272, 316, 7481, 2745, 263, 28128, 6230, 913, 2891, 291, 27363, 2745, 263, 28128, 6230, 913, 2891, 291, 27363, 2745, 263, 28128, 6230, 913, 2891, 305, 27363, 2745, 263, 28128, 6230, 913, 2891, 308, 27363, 2745, 263, 28128, 6230, 913, 2891, 308, 27363, 2745, 263, 28128, 6230, 913, 2891, 299, 27363, 2745, 263, 28128, 6230, 913, 2891, 291, 27363, 2745, 263, 28128, 6230, 913, 2891, 305, 27363, 2745, 263, 28128, 6230, 913, 2891, 305, 27363, 2745, 263, 28128, 6230, 913, 2891, 308, 27363, 2745, 263, 28128, 6230, 913, 2891, 299, 27363, 2745, 263, 28128, 6230, 913, 2891, 299, 27363, 2745, 263, 28128, 6230, 913, 2891, 291, 27363, 2745, 263, 28128, 6230, 913, 2891, 305, 27363, 2745, 263, 28128, 6230, 913, 2891, 308, 8442, 2020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2057, 513, 25314, 2255, 1063, 519, 5697, 2621, 543, 519, 16843, 293, 1031, 1369, 519, 2079, 269, 1703, 616, 2789, 16843, 22661, 9447, 609, 519, 674, 1069, 328, 3163, 13088, 547, 1450, 519, 3593, 519, 8112, 2556, 585, 519, 1114, 2079, 2010, 269, 634, 700, 2969, 1239, 4867, 1373, 5950, 676, 519, 674, 7704, 290, 814, 1044, 9268, 1210, 10426, 476, 278, 543, 865, 519, 7222, 10426, 476, 278, 16843, 293, 5036, 1590, 581, 1031, 547, 8308, 2099, 1346, 22726, 563, 10000, 547, 4864, 476, 1001, 272, 267, 519, 674, 7704, 290, 729, 16089, 1239, 5293, 593, 519, 4505, 834, 27879, 476, 277, 257, 4528, 540, 519, 2680, 5542, 454, 27879, 476, 278, 2680, 2079, 729, 2919, 2022, 2000, 320, 4875, 1210, 1344, 6591, 689, 8184, 1239, 269, 901, 2882, 10311, 519, 700, 2969, 6293, 2319, 3773, 547, 741, 22757, 30408, 13502, 547, 1331, 519, 1034, 10423, 593, 11399, 4226, 2360, 267, 899, 2680, 18061, 5346, 269, 769, 1840, 267, 789, 723, 4824, 741, 1702, 540, 519, 593, 11399, 4226, 2360, 267, 1519, 2034, 1931, 29444, 267, 543, 2206, 1194, 856, 930, 2101, 2959, 540, 1062, 18267, 269, 623, 278, 318, 309, 277, 16843, 22661, 2232, 891, 2152, 543, 13822, 1018, 568, 4867, 519, 1655, 6609, 540, 519, 700, 2969, 6293, 519, 700, 2969, 2319, 666, 1683, 1247, 6967, 538, 519, 5943, 540, 519, 10426, 476, 278, 2680, 2079, 269, 898, 568, 2009, 602, 5594, 4824, 16843, 22661, 786, 581, 5950, 2899, 519, 700, 2969, 6293, 2319, 814, 6594, 519, 1699, 1239, 269, 769, 782, 10171, 971, 16843, 22661, 1131, 3274, 1039, 811, 3877, 267, 971, 607, 2034, 1931, 29444, 267, 1247, 6967, 9247, 25034, 673, 547, 519, 1699, 623, 278, 318, 309, 277, 16843, 22661, 593, 3328, 269, 634, 700, 2969, 2319, 568, 849, 2324, 593, 5355, 519, 2680, 16646, 6620, 269, 1452, 5690, 616, 3743, 585, 4466, 519, 1648, 543, 4287, 540, 1142, 2680, 267, 543, 12719, 16221, 9424, 609, 616, 1031, 676, 519, 5542, 6620, 547, 5094, 22726, 689, 17184, 18422, 10080, 269, 901, 568, 513, 1454, 3476, 2165, 1788, 543, 786, 5555, 581, 5950, 607, 834, 27879, 476, 279, 257, 540, 519, 2680, 5542, 563, 763, 1292, 2934, 540, 623, 278, 16843, 22661, 616, 912, 27775, 754, 725, 585, 519, 3617, 5542, 543, 16843, 293, 1305, 547, 581, 1031, 1369, 606, 2079, 616, 3177, 538, 519, 1239, 7041, 3296, 540, 519, 595, 545, 518, 821, 269, 634, 7515, 2630, 2285, 519, 7681, 1063, 519, 10426, 476, 278, 16843, 293, 5036, 543, 519, 27141, 3601, 607, 3177, 538, 519, 700, 2969, 27141, 1239, 563, 19064, 278, 16843, 293, 2012, 1475, 30631, 4147, 630, 5271, 5035, 10534, 3519, 11437, 7392, 1475, 20373, 2008, 19064, 278, 8085, 15045, 3722, 4041, 3198, 318, 309, 277, 1475, 275, 1475, 271, 266, 272, 1475, 295, 580, 4554, 2298, 543, 9803, 4282, 5542, 910, 10169, 936, 4621, 969, 894, 267, 713, 14122, 513, 1713, 2530, 540, 2500, 1858, 269, 17597, 2740, 539, 5631, 547, 946, 607, 513, 3444, 2638, 602, 4767, 2934, 616, 711, 1813, 547, 17184, 11920, 12526, 2008, 19064, 278, 8085, 15045, 3722, 4041, 3198, 318, 309, 277, 15311, 15709, 2177, 307, 1475, 275, 1475, 271, 1475, 293, 3224, 14291, 2621, 2008, 19064, 278, 8085, 15045, 3722, 4041, 3198, 318, 309, 277, 15311, 289, 19272, 1475, 275, 1475, 272, 1475, 12988, 14291, 2621, 2008, 19064, 278, 290, 4041, 3198, 318, 309, 277, 1475, 274, 1475, 271, 266, 272, 1475, 25802, 1164, 2298, 543, 1970, 4282, 5542, 910, 5227, 585, 9382, 602, 11753, 1804, 4525, 540, 519, 6607, 269, 11087, 806, 1875, 14428, 582, 517, 19706, 2934, 547, 1360, 1970, 2157, 8198, 19064, 278, 290, 4041, 3198, 318, 309, 277, 15311, 15709, 2177, 307, 1475, 274, 1475, 271, 1475, 293, 3224, 14291, 2621, 2008, 19064, 278, 290, 4041, 3198, 318, 309, 277, 15311, 289, 19272, 1475, 274, 1475, 272, 1475, 12988, 14291, 2621, 2008, 19064, 278, 306, 21788, 4753, 318, 309, 277, 1475, 273, 1475, 271, 266, 272, 1475, 11947, 2298, 5542, 910, 5227, 585, 1034, 2079, 2008, 19064, 278, 306, 21788, 4753, 318, 309, 277, 15311, 15709, 2177, 307, 1475, 273, 1475, 271, 1475, 293, 3224, 14291, 2621, 2008, 19064, 278, 306, 21788, 4753, 318, 309, 277, 15311, 289, 19272, 1475, 273, 1475, 272, 1475, 12988, 14291, 2621, 2008, 19064, 278, 306, 21788, 4753, 318, 309, 277, 10157, 1475, 273, 1475, 271, 266, 272, 1475, 12507, 974, 30408, 13662, 293, 910, 585, 2090, 540, 2110, 2165, 630, 283, 272, 3923, 264, 13260, 2008, 19064, 278, 306, 21788, 4753, 318, 309, 277, 10157, 15311, 15709, 2177, 307, 1475, 273, 1475, 271, 1475, 293, 3224, 14291, 2621, 2008, 19064, 278, 306, 21788, 4753, 318, 309, 277, 10157, 15311, 289, 19272, 1475, 273, 1475, 272, 1475, 12988, 14291, 2621, 2008, 19064, 278, 15045, 3198, 10485, 7728, 318, 309, 277, 1475, 271, 1475, 271, 266, 272, 1475, 299, 1077, 2298, 5542, 910, 1031, 585, 1978, 23644, 610, 12557, 2079, 2008, 19064, 278, 15045, 3198, 10485, 7728, 318, 309, 277, 15311, 15709, 2177, 307, 1475, 271, 1475, 271, 1475, 293, 3224, 14291, 2621, 2008, 19064, 278, 15045, 3198, 10485, 7728, 318, 309, 277, 15311, 289, 19272, 1475, 271, 1475, 272, 1475, 12988, 14291, 2621, 2008, 19547, 9229, 11673, 540, 519, 700, 2969, 6293, 267, 2680, 2079, 267, 543, 2773, 666, 581, 1336, 538, 519, 1739, 912, 763, 16843, 22661, 3254, 1934, 616, 1759, 593, 8242, 13502, 540, 519, 6293, 602, 1491, 883, 2272, 2360, 6027, 538, 8184, 602, 941, 711, 2808, 538, 840, 2000, 320, 4875, 2773, 9193, 269, 10765, 1344, 3823, 519, 2164, 540, 2022, 2000, 320, 4875, 4152, 799, 3366, 547, 713, 19862, 666, 581, 1336, 538, 519, 1739, 12319, 281, 0, 292, 548, 1597, 535, 4593, 958, 3280, 543, 13476, 7874, 968, 13582, 6578, 892, 4507, 11117, 538, 519, 5682, 532, 519, 20907, 630, 27746, 1633, 264, 476, 1220, 275, 1867, 1223, 2087, 519, 19773, 585, 15930, 779, 1604, 267, 1247, 8195, 2810, 1533, 19614, 676, 693, 2547, 1269, 13970, 2929, 538, 519, 1985, 2407, 16642, 1032, 267, 609, 909, 547, 1269, 274, 5479, 538, 1279, 3856, 9806, 269, 1849, 3151, 5739, 3138, 2684, 3421, 538, 519, 3454, 3009, 267, 14874, 15490, 24307, 585, 5533, 267, 543, 5969, 3653, 995, 3785, 1131, 1711, 2883, 771, 514, 1417, 1161, 585, 30832, 1782, 2208, 267, 2011, 5533, 267, 19126, 1646, 267, 936, 2224, 540, 15780, 267, 543, 824, 13476, 14124, 2238, 269, 2311, 519, 1482, 942, 267, 891, 3609, 2242, 1223, 948, 2232, 519, 4049, 16642, 6433, 6849, 519, 1533, 563, 7712, 922, 27299, 538, 476, 1960, 275, 267, 519, 5682, 2480, 19538, 22411, 814, 10692, 547, 1118, 2825, 543, 16642, 5539, 14422, 538, 6115, 269, 634, 5859, 11394, 547, 9004, 24307, 543, 3292, 602, 1312, 2800, 519, 1604, 543, 3653, 27710, 9707, 9489, 269, 1635, 1818, 891, 11912, 267, 519, 5313, 2229, 666, 4688, 2724, 585, 14422, 1519, 17211, 5786, 269, 0, 16829, 676, 723, 531, 8077, 339, 1779, 593, 4873, 476, 3066, 267, 476, 1001, 271, 454, 288, 5467, 16761, 513, 28624, 9113, 8929, 540, 513, 22600, 17311, 267, 865, 594, 1185, 513, 1413, 1472, 269, 2201, 1142, 540, 891, 4609, 972, 616, 693, 2547, 513, 1906, 2443, 543, 1419, 1082, 2443, 811, 2592, 547, 3442, 689, 563, 2080, 616, 513, 1906, 689, 519, 2475, 12551, 1299, 13812, 6796, 779, 2817, 7913, 7732, 912, 310, 302, 3607, 280, 271, 4563, 631, 836, 17311, 4210, 2086, 538, 7147, 454, 24127, 272, 315, 276, 7374, 7597, 277, 273, 291, 5025, 274, 292, 271, 5937, 273, 288, 274, 6363, 4375, 4488, 277, 4037, 288, 21497, 272, 289, 11463, 27970, 630, 17359, 22375, 11730, 543, 8606, 17575, 994, 5649, 519, 1964, 540, 713, 7127, 19314, 16829, 538, 12551, 543, 13812, 6796, 267, 2817, 5244, 6796, 267, 30857, 267, 30857, 17421, 7732, 267, 23089, 267, 12518, 1923, 22105, 3022, 281, 3109, 22600, 17311, 32761, 267, 17451, 6921, 3547, 2817, 5244, 267, 16763, 657, 7345, 2817, 6480, 340, 25978, 3194, 15944, 267, 17340, 756, 10620, 267, 30857, 267, 715, 4916, 267, 4414, 631, 836, 17311, 267, 9400, 645, 269, 21007, 699, 5471, 267, 2475, 12551, 543, 13812, 6796, 267, 2475, 14899, 1923, 23680, 513, 19410, 9732, 0, 17345, 7170, 281, 23531, 543, 31898, 7595, 4083, 454, 17345, 13517, 281, 634, 4797, 1646, 540, 1603, 1983, 9715, 538, 2296, 476, 9873, 272, 543, 1646, 540, 2565, 3206, 1983, 538, 4661, 566, 267, 2079, 267, 543, 7664, 540, 1585, 2010, 540, 3332, 269, 634, 1576, 2882, 3573, 2542, 543, 1603, 267, 17090, 12319, 267, 1353, 540, 1382, 2409, 543, 2326, 267, 543, 7041, 540, 519, 13006, 1382, 1957, 563, 17345, 15894, 25980, 281, 476, 274, 454, 299, 15145, 25980, 281, 476, 274, 454, 24248, 25980, 281, 476, 272, 454, 7093, 7528, 15363, 281, 2296, 476, 9873, 272, 454, 22923, 4804, 27159, 912, 2171, 3494, 602, 2296, 476, 9873, 272, 5012, 2047, 883, 2296, 476, 9873, 273, 267, 543, 602, 519, 2034, 1576, 13976, 2390, 1983, 689, 2296, 476, 9873, 272, 282, 4061, 267, 2296, 476, 9873, 273, 786, 3136, 547, 1020, 543, 6218, 1346, 4397, 4093, 689, 2296, 476, 9873, 272, 563, 10303, 2296, 476, 9873, 273, 6212, 593, 1382, 1983, 267, 1053, 6707, 11264, 519, 1576, 1058, 849, 581, 2111, 547, 6542, 519, 1739, 912, 9377, 754, 606, 5483, 2990, 610, 454, 30348, 1369, 519, 2796, 540, 454, 320, 1808, 9015, 609, 3137, 543, 4267, 547, 4143, 4831, 1173, 3701, 563, 273, 269, 1290, 2181, 9150, 1603, 607, 513, 3126, 540, 3606, 1382, 4247, 602, 1331, 4466, 267, 10442, 267, 7421, 267, 543, 13754, 1944, 3617, 3119, 543, 6281, 2959, 563, 274, 269, 6657, 3617, 14908, 540, 25643, 741, 960, 609, 519, 17090, 3898, 563, 275, 269, 15566, 547, 1628, 2390, 519, 9906, 4804, 27159, 585, 2296, 476, 9873, 272, 454, 10743, 1058, 581, 2111, 547, 6542, 17720, 1702, 538, 519, 1739, 2081, 912, 320, 269, 3367, 543, 4612, 513, 5401, 585, 513, 1603, 7084, 563, 321, 269, 3503, 3594, 602, 1491, 513, 2990, 543, 6707, 8044, 610, 9718, 602, 2990, 563, 322, 269, 3503, 3594, 609, 3617, 2963, 267, 4901, 267, 543, 3919, 585, 513, 1808, 5304, 563, 323, 269, 3503, 3594, 609, 2178, 31047, 543, 8753, 602, 2099, 10427, 2219, 543, 1603, 563, 324, 269, 3503, 3594, 602, 946, 3898, 267, 2497, 267, 3159, 267, 546, 2109, 267, 543, 16105, 3617, 547, 519, 17720, 3510, 563, 276, 269, 4841, 1058, 581, 2111, 547, 6542, 2565, 3206, 267, 2542, 267, 543, 1603, 538, 519, 1739, 2081, 912, 320, 269, 2422, 2542, 543, 1603, 585, 14374, 267, 1565, 267, 3206, 267, 543, 14379, 563, 321, 269, 20864, 741, 1378, 2093, 609, 1346, 540, 1866, 609, 2312, 11984, 1063, 519, 1079, 563, 277, 269, 4841, 1058, 581, 2111, 547, 6542, 1702, 540, 519, 1603, 1184, 538, 519, 1739, 2081, 912, 320, 269, 2142, 3222, 602, 621, 2356, 3217, 2789, 31585, 547, 1711, 543, 2347, 513, 3811, 1257, 563, 321, 269, 3763, 543, 6542, 8465, 2994, 585, 10451, 2093, 267, 2847, 2358, 267, 11049, 267, 543, 6169, 15105, 563, 322, 269, 13760, 543, 8415, 519, 10319, 543, 1514, 3344, 540, 1603, 3157, 676, 1565, 547, 16472, 741, 1378, 543, 1866, 685, 960, 563, 278, 269, 4841, 1058, 581, 2111, 547, 6542, 1702, 540, 14908, 538, 519, 1739, 2081, 912, 320, 269, 15233, 1702, 540, 9135, 14908, 8151, 689, 2497, 543, 5037, 532, 547, 3159, 543, 11707, 563, 321, 269, 6513, 971, 2627, 2934, 607, 8239, 267, 18685, 267, 543, 10259, 563, 4415, 9526, 531, 8889, 281, 7831, 1554, 547, 11198, 568, 4728, 476, 280, 454, 17686, 514, 5441, 14288, 24727, 281, 968, 8450, 519, 1699, 2051, 4802, 9906, 18361, 3034, 25567, 753, 609, 24894, 2920, 281, 2051, 4802, 5441, 786, 15666, 547, 782, 10858, 5313, 267, 1533, 543, 2199, 4031, 267, 6042, 543, 4808, 609, 2463, 547, 3246, 10257, 22581, 607, 2838, 547, 6488, 3160, 4316, 269, 898, 568, 519, 2875, 779, 5539, 547, 3346, 519, 589, 6717, 8577, 5604, 267, 590, 6717, 8566, 1220, 610, 476, 280, 7761, 269, 6434, 272, 269, 6812, 280, 279, 630, 309, 20081, 31813, 281, 476, 280, 7761, 269, 6434, 272, 269, 276, 4817, 271, 264, 547, 6582, 585, 3617, 22581, 269, 6423, 519, 1699, 2051, 4802, 9906, 18361, 585, 3606, 1344, 563, 9743, 1192, 528, 779, 8745, 281, 3220, 269, 23436, 20858, 5937, 32713, 454, 19423, 823, 7089, 281, 670, 20720, 454, 19423, 823, 25980, 281, 13638, 543, 13628, 267, 476, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 5173, 318, 22487, 4433, 13645, 2187, 453, 11034, 532, 318, 4812, 267, 10678, 318, 4812, 815, 4009, 454, 453, 343, 338, 267, 586, 338, 815, 4358, 318, 4812, 454, 453, 343, 324, 267, 9493, 815, 10678, 318, 4812, 454, 453, 343, 815, 630, 343, 324, 1341, 1535, 338, 8358, 273, 454, 453, 344, 815, 630, 903, 1341, 9493, 8358, 273, 454, 16596, 1535, 267, 586, 7531, 3698, 2798, 15461, 318, 1467, 263, 4812, 272, 267, 1448, 273, 2187, 453, 343, 272, 267, 586, 272, 815, 1448, 272, 454, 453, 343, 273, 267, 586, 273, 815, 1448, 273, 454, 14851, 1535, 272, 2652, 1535, 273, 912, 453, 453, 16435, 2100, 815, 1412, 3200, 673, 7055, 453, 453, 258, 538, 713, 2013, 18448, 786, 581, 547, 519, 1535, 7852, 711, 519, 586, 7852, 269, 11724, 532, 1535, 24210, 272, 1899, 454, 453, 453, 5793, 1061, 815, 1535, 272, 454, 28432, 912, 453, 453, 16435, 2100, 815, 630, 344, 273, 910, 586, 272, 19422, 343, 273, 910, 1535, 272, 994, 453, 453, 5793, 1061, 815, 586, 272, 910, 9386, 2608, 1535, 272, 3097, 453, 453, 16435, 2100, 815, 5180, 4433, 331, 2100, 267, 476, 273, 264, 1948, 18232, 568, 476, 271, 269, 4905, 454, 453, 453, 5793, 1061, 815, 5180, 263, 5793, 1061, 267, 476, 273, 994, 16596, 9386, 267, 18448, 7531, 3698, 5352, 318, 1467, 4433, 13645, 272, 267, 4009, 273, 2187, 453, 22487, 272, 815, 5173, 318, 22487, 4433, 13645, 272, 994, 453, 22487, 273, 815, 5173, 318, 22487, 4433, 13645, 273, 994, 14851, 4009, 272, 2652, 4009, 273, 912, 453, 453, 16435, 2100, 815, 476, 272, 453, 258, 3245, 782, 519, 2009, 3515, 602, 1780, 998, 513, 1448, 649, 3442, 519, 835, 609, 9386, 815, 476, 272, 454, 453, 453, 5793, 4167, 815, 4099, 272, 314, 272, 316, 910, 4099, 272, 314, 271, 2639, 453, 16596, 9386, 267, 12969, 454, 16596, 2798, 15461, 318, 1467, 263, 22487, 272, 267, 4099, 273, 9239, 258, 4009, 16733, 343, 338, 267, 903, 7565, 343, 324, 267, 6614, 21875, 258, 4500, 339, 687, 281, 938, 1239, 786, 3357, 538, 713, 3898, 454, 258, 1142, 4009, 786, 581, 1219, 823, 676, 1283, 2451, 14584, 454, 258, 543, 5377, 1318, 14584, 563, 258, 865, 1535, 338, 2999, 1535, 324, 543, 586, 338, 3436, 9493, 454, 338, 13645, 272, 815, 9230, 273, 267, 273, 1070, 630, 275, 267, 476, 271, 4917, 338, 13645, 273, 815, 263, 8987, 272, 267, 272, 1070, 630, 272, 267, 910, 272, 11723, 2745, 263, 2102, 4733, 318, 1467, 4433, 13645, 272, 267, 4009, 273, 4297, 0, 258, 570, 2586, 689, 281, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 322, 271, 302, 6573, 13036, 1030, 5400, 261, 4289, 284, 12195, 301, 332, 310, 7367, 1030, 271, 340, 9749, 329, 333, 300, 6187, 299, 933, 320, 312, 292, 313, 337, 2914, 329, 303, 30641, 333, 329, 692, 3698, 535, 11170, 31807, 3960, 3287, 2187, 14851, 1535, 2999, 476, 272, 912, 453, 16596, 454, 22610, 1775, 538, 2039, 263, 272, 267, 1535, 266, 272, 2187, 453, 453, 1467, 815, 1412, 7055, 453, 14851, 1775, 4939, 476, 274, 2652, 476, 271, 912, 4848, 453, 1467, 266, 8782, 293, 11170, 7055, 453, 14851, 1775, 4939, 476, 276, 2652, 476, 271, 912, 4848, 453, 1467, 23785, 3488, 31807, 3960, 5073, 453, 14851, 1899, 2652, 1412, 12466, 4848, 453, 1467, 23785, 1598, 9217, 994, 453, 13537, 263, 1467, 994, 16596, 692, 325, 11170, 31807, 3960, 263, 5325, 264, 0, 258, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 275, 336, 329, 1440, 291, 330, 297, 337, 329, 312, 692, 3698, 25961, 263, 6783, 267, 1376, 267, 1439, 2187, 453, 5814, 19073, 321, 282, 19073, 321, 15630, 4671, 15869, 4590, 14851, 5044, 314, 11034, 316, 10922, 5044, 314, 754, 14158, 453, 16596, 1376, 454, 453, 333, 815, 7003, 263, 6783, 994, 453, 332, 1497, 815, 703, 9230, 11034, 266, 754, 8358, 273, 994, 453, 2181, 2365, 29223, 815, 630, 332, 1497, 1341, 562, 268, 272, 264, 260, 333, 454, 453, 10113, 29223, 476, 815, 630, 332, 1497, 1341, 1341, 272, 264, 260, 333, 454, 14851, 5044, 314, 2181, 2365, 29223, 316, 3436, 5044, 314, 332, 1497, 316, 543, 5044, 314, 10113, 29223, 316, 3436, 5044, 314, 332, 1497, 14158, 453, 16596, 1647, 692, 14851, 5044, 314, 332, 1497, 316, 2999, 5044, 314, 11034, 14158, 453, 16596, 25961, 263, 6783, 267, 1376, 267, 1647, 268, 272, 994, 16596, 25961, 263, 6783, 267, 1647, 266, 272, 267, 1439, 2020, 258, 744, 263, 8421, 562, 994, 3698, 1265, 318, 8527, 908, 318, 4812, 263, 6783, 2187, 16596, 25961, 263, 6783, 267, 476, 271, 267, 7003, 263, 6783, 9984, 272, 2020, 320, 815, 1496, 274, 267, 476, 276, 267, 476, 279, 2073, 476, 1556, 267, 476, 1321, 267, 476, 273, 2639, 2745, 3488, 6783, 281, 22207, 513, 994, 8527, 908, 318, 4812, 815, 1265, 318, 8527, 908, 318, 4812, 5416, 994, 2745, 3488, 22772, 318, 8527, 908, 318, 4812, 281, 22207, 15914, 318, 4812, 994, 2745, 3488, 14140, 3693, 281, 22207, 513, 314, 8527, 908, 318, 4812, 8079, 0, 258, 570, 2586, 689, 281, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 345, 294, 341, 274, 327, 302, 3036, 343, 327, 271, 261, 339, 284, 1789, 338, 454, 5228, 476, 11996, 318, 5793, 7611, 1104, 10167, 692, 3698, 10167, 318, 19327, 16868, 272, 267, 678, 273, 2187, 453, 331, 343, 272, 267, 11430, 272, 815, 678, 272, 314, 271, 316, 1948, 561, 343, 815, 2451, 1535, 267, 11430, 815, 2451, 586, 454, 453, 337, 343, 272, 267, 678, 344, 272, 815, 678, 272, 314, 272, 316, 1948, 678, 343, 815, 1318, 1535, 267, 678, 344, 815, 1318, 586, 692, 453, 331, 343, 273, 267, 11430, 273, 815, 678, 273, 314, 271, 2639, 453, 337, 343, 273, 267, 678, 344, 273, 815, 678, 273, 314, 272, 6540, 453, 343, 318, 5793, 7611, 815, 10167, 10857, 343, 272, 267, 678, 343, 272, 267, 561, 343, 273, 267, 678, 343, 273, 994, 453, 344, 318, 5793, 7611, 815, 10167, 263, 569, 272, 267, 678, 344, 272, 267, 11430, 273, 267, 678, 344, 273, 2020, 14851, 711, 1535, 318, 5793, 7611, 610, 711, 586, 318, 5793, 7611, 912, 453, 16596, 476, 271, 454, 453, 343, 318, 5793, 7611, 28747, 815, 1535, 318, 5793, 7611, 314, 272, 316, 910, 1535, 318, 5793, 7611, 314, 271, 2639, 453, 344, 318, 5793, 7611, 28747, 815, 586, 318, 5793, 7611, 314, 272, 316, 910, 586, 318, 5793, 7611, 314, 271, 6540, 16596, 1535, 318, 5793, 7611, 28747, 2608, 586, 318, 5793, 7611, 28747, 692, 3698, 14892, 16868, 272, 267, 678, 273, 2187, 13537, 3488, 337, 272, 281, 22207, 678, 272, 994, 13537, 3488, 337, 273, 281, 22207, 678, 273, 994, 13537, 3488, 5793, 7611, 1858, 281, 22207, 10167, 318, 19327, 16868, 272, 267, 678, 273, 11723, 5550, 272, 815, 16733, 273, 267, 272, 1070, 630, 276, 267, 276, 4917, 5550, 273, 815, 16733, 274, 267, 273, 1070, 630, 276, 267, 278, 4917, 1410, 31146, 263, 5550, 272, 267, 6439, 273, 2020, 5550, 272, 815, 630, 8987, 272, 267, 272, 1070, 630, 1428, 267, 276, 4917, 5550, 273, 815, 16733, 274, 267, 273, 1070, 630, 278, 267, 278, 4917, 1410, 31146, 263, 5550, 272, 267, 6439, 273, 264, 0, 258, 570, 2586, 689, 281, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 10481, 9816, 2741, 318, 304, 312, 345, 279, 261, 4289, 284, 12195, 301, 332, 310, 7367, 1030, 271, 340, 9749, 329, 333, 300, 6187, 299, 933, 320, 312, 292, 313, 337, 2914, 329, 303, 30641, 333, 329, 261, 8161, 284, 4366, 692, 258, 5384, 281, 744, 3799, 1070, 744, 263, 272, 994, 3698, 1265, 318, 718, 318, 706, 27289, 263, 6783, 2187, 453, 14310, 815, 1305, 4590, 22610, 1775, 538, 2039, 12759, 263, 6783, 15892, 453, 453, 324, 2211, 815, 5044, 5157, 2639, 453, 14851, 711, 3693, 538, 1267, 912, 4848, 14851, 5044, 314, 324, 2211, 268, 272, 316, 3436, 476, 271, 912, 15235, 453, 6783, 314, 324, 2211, 268, 272, 30297, 15871, 272, 454, 4848, 28432, 912, 15235, 453, 14310, 14491, 16216, 2211, 2020, 22610, 1775, 538, 2039, 12759, 263, 6783, 15892, 453, 453, 6783, 5157, 316, 815, 2612, 263, 6783, 5157, 7481, 16596, 1592, 31114, 2020, 6783, 815, 1496, 276, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 274, 267, 476, 272, 267, 476, 275, 267, 476, 274, 267, 476, 273, 267, 476, 272, 6540, 2745, 3488, 26161, 281, 22207, 5044, 994, 2745, 3488, 706, 27289, 281, 22207, 1265, 318, 718, 318, 706, 27289, 263, 6783, 4917, 2745, 3488, 26161, 1310, 281, 22207, 5044, 264, 0, 3698, 1039, 289, 1245, 30357, 4433, 267, 9598, 2187, 825, 8173, 825, 2433, 6943, 521, 281, 1193, 454, 825, 2433, 6943, 9598, 281, 5903, 314, 1598, 2639, 825, 2433, 337, 6943, 281, 1193, 454, 825, 8173, 825, 12050, 815, 1496, 16178, 585, 23313, 538, 2039, 12759, 4433, 4297, 2639, 825, 585, 1775, 538, 2039, 12759, 4433, 15892, 1038, 585, 2262, 538, 9598, 912, 2018, 952, 630, 328, 1341, 7003, 27182, 9984, 272, 264, 2999, 7003, 4433, 2187, 3546, 952, 521, 5157, 281, 328, 266, 6352, 27182, 13580, 2652, 2262, 912, 7386, 585, 795, 538, 2039, 9217, 267, 1775, 266, 6352, 27182, 15892, 13376, 12050, 14728, 316, 815, 6936, 454, 825, 1104, 621, 1068, 8962, 454, 825, 20735, 815, 11713, 825, 585, 13141, 267, 1989, 335, 538, 621, 1068, 8962, 3052, 4981, 2421, 18750, 760, 4433, 267, 12050, 1070, 25754, 1990, 281, 1990, 314, 272, 316, 2187, 1038, 1104, 19073, 321, 282, 19073, 321, 15630, 4671, 15869, 4590, 1038, 952, 13141, 281, 20735, 6910, 2891, 283, 321, 285, 5602, 1038, 20735, 6910, 2891, 2668, 21860, 18750, 314, 271, 316, 585, 1990, 538, 1989, 335, 4917, 1038, 952, 13141, 281, 20735, 6910, 2891, 9572, 321, 285, 5602, 825, 2132, 834, 2668, 21860, 263, 753, 994, 2745, 263, 5417, 289, 1245, 30357, 2891, 12711, 13741, 764, 2580, 22373, 12711, 320, 14824, 25900, 257, 9948, 4297, 0, 258, 570, 2586, 689, 281, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 333, 961, 1532, 275, 10481, 328, 311, 275, 261, 4289, 284, 12195, 301, 332, 310, 7367, 1030, 271, 340, 9749, 329, 333, 300, 6187, 299, 933, 320, 312, 292, 313, 337, 2914, 329, 303, 30641, 333, 329, 261, 8161, 284, 2190, 692, 5228, 10518, 1104, 29571, 692, 3698, 7903, 18425, 318, 4650, 263, 23637, 267, 3693, 2187, 14851, 711, 3693, 912, 453, 16596, 454, 14851, 10518, 25915, 3890, 2652, 476, 271, 610, 10518, 269, 572, 2131, 3890, 3436, 3693, 912, 453, 453, 23637, 4877, 2313, 16216, 2211, 994, 453, 16596, 454, 453, 9690, 21223, 2211, 815, 10518, 21014, 4590, 453, 335, 2313, 18425, 318, 4650, 263, 23637, 267, 3693, 994, 453, 23637, 4877, 2313, 263, 9690, 21223, 2211, 994, 16596, 692, 258, 5384, 281, 744, 3799, 317, 273, 1070, 2230, 281, 744, 263, 272, 264, 1341, 25276, 10518, 7125, 454, 3698, 4990, 263, 23637, 2187, 453, 14513, 14067, 871, 815, 29571, 4590, 453, 6112, 10518, 25915, 3890, 3436, 476, 271, 912, 453, 453, 335, 2313, 18425, 318, 4650, 263, 14513, 14067, 871, 267, 10518, 21014, 15405, 16596, 18559, 14067, 871, 7531, 338, 815, 29571, 4590, 338, 4877, 2313, 263, 276, 994, 338, 4877, 2313, 263, 280, 994, 338, 4877, 2313, 263, 272, 994, 338, 4877, 2313, 263, 273, 994, 338, 4877, 2313, 263, 274, 994, 338, 4877, 2313, 263, 277, 994, 338, 4877, 2313, 263, 278, 994, 338, 4877, 2313, 263, 279, 994, 338, 4877, 2313, 263, 1015, 994, 338, 4877, 2313, 263, 275, 994, 258, 1820, 3488, 23637, 568, 476, 276, 267, 476, 280, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 1015, 267, 476, 275, 5073, 258, 1820, 3488, 335, 14563, 1310, 4990, 568, 281, 5073, 258, 15044, 14067, 871, 815, 4990, 4433, 2020, 258, 1247, 15044, 14067, 871, 25915, 3890, 3436, 476, 271, 912, 258, 476, 13537, 4433, 9285, 14067, 871, 21014, 31156, 258, 3245, 519, 3381, 1384, 3698, 4990, 318, 3438, 8271, 263, 23637, 2187, 453, 14513, 14067, 871, 815, 29571, 4590, 453, 6112, 10518, 25915, 3890, 3436, 476, 271, 912, 453, 453, 324, 2211, 815, 10518, 21014, 4590, 453, 453, 6112, 18559, 14067, 871, 25915, 3890, 3436, 476, 271, 543, 18559, 14067, 871, 269, 572, 2131, 3890, 2999, 3693, 912, 4848, 453 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 741, 10450, 563, 3528, 2921, 5413, 540, 519, 5279, 538, 519, 6675, 685, 2212, 2516, 267, 519, 3345, 13523, 3173, 2919, 513, 1007, 1259, 547, 12189, 519, 9245, 779, 2168, 3601, 269, 1358, 3459, 676, 1071, 23829, 5145, 1782, 8920, 903, 710, 22791, 273, 264, 543, 1286, 7901, 2643, 622, 11196, 272, 264, 16822, 13023, 850, 6675, 540, 8795, 2766, 13080, 883, 21536, 9707, 17011, 693, 1114, 9063, 2157, 267, 799, 4957, 519, 2500, 5279, 540, 519, 9843, 269, 31167, 16558, 616, 1500, 540, 1079, 6106, 540, 16822, 13023, 850, 6675, 2443, 6675, 609, 1312, 1216, 2000, 8221, 543, 1216, 3620, 908, 3601, 2443, 602, 1106, 513, 26543, 7387, 1472, 922, 9115, 269, 1744, 9464, 899, 513, 561, 3326, 760, 641, 267, 16822, 13023, 850, 6675, 4865, 513, 9901, 267, 1216, 2000, 8221, 630, 5139, 5268, 32281, 264, 2212, 543, 513, 1216, 3146, 335, 2454, 630, 5139, 5268, 11131, 264, 2766, 282, 519, 6675, 8108, 1142, 4494, 1899, 909, 2766, 3562, 2389, 841, 609, 519, 9843, 8108, 519, 16538, 540, 519, 9245, 269, 634, 5860, 543, 11460, 540, 519, 6675, 3313, 519, 9245, 779, 11188, 13920, 267, 4222, 267, 543, 824, 3601, 563, 10190, 267, 1210, 1535, 11920, 22502, 2029, 693, 519, 13660, 303, 2632, 9539, 2180, 13523, 5937, 578, 20985, 7457, 12243, 630, 291, 21254, 4211, 2969, 264, 693, 1488, 12455, 928, 2817, 12524, 779, 11628, 7353, 517, 11905, 267, 519, 3173, 9916, 519, 4611, 16358, 1436, 4646, 676, 519, 21536, 16558, 685, 6675, 563, 263, 2414, 3132, 6475, 17209, 2592, 540, 9245, 3889, 267, 3173, 5892, 723, 13792, 873, 267, 855, 713, 1184, 568, 4074, 25673, 543, 2242, 519, 7293, 535, 23474, 267, 799, 2306, 621, 1447, 4143, 585, 1620, 9245, 10198, 543, 2623, 896, 12214, 2175, 607, 5645, 856, 3330, 519, 1480, 1560, 8094, 763, 3345, 13523, 3173, 1336, 602, 1034, 6675, 1705, 711, 4431, 547, 513, 1689, 538, 23639, 269, 1809, 1346, 602, 22234, 513, 2565, 2766, 3259, 2443, 513, 2268, 602, 31426, 547, 519, 6675, 685, 1377, 540, 28920, 2643, 807, 2443, 519, 5279, 540, 519, 6675, 685, 9843, 4957, 547, 519, 6708, 602, 741, 1079, 8820, 16358, 1436, 2849, 335, 1117, 689, 513, 13350, 14328, 1790, 520, 1181, 539, 24775, 630, 11398, 538, 811, 2596, 3435, 264, 547, 513, 15279, 21192, 24775, 630, 11398, 538, 811, 15755, 3435, 1040, 26425, 338, 609, 513, 2362, 15340, 267, 971, 607, 15279, 21192, 267, 616, 6793, 543, 1447, 28221, 982, 1346, 609, 14758, 15340, 269, 634, 1689, 538, 9063, 849, 12012, 519, 21536, 16558, 685, 11098, 543, 519, 11741, 1145, 540, 519, 6675, 563, 2419, 4474, 519, 5860, 543, 19437, 540, 6675, 1369, 17011, 1223, 948, 3173, 1852, 519, 20206, 1637, 543, 5305, 4398, 540, 6675, 3330, 513, 5738, 1834, 563, 763, 623, 2793, 306, 1957, 568, 11331, 968, 290, 31051, 710, 2717, 2096, 6973, 1143, 1473, 340, 1027, 676, 932, 1618, 19938, 538, 594, 4577, 6490, 1962, 6951, 3034, 763, 1382, 729, 513, 5698, 1063, 1614, 3345, 13523, 22475, 267, 17364, 2947, 15834, 13623, 269, 4033, 4589, 941, 15656, 594, 269, 853, 6269, 267, 7812, 808, 269, 16170, 5414, 330, 282, 1101, 2278, 4258, 4157, 25286, 14241, 2274, 2426, 267, 513, 12854, 11134, 538, 519, 4972, 540, 8212, 543, 18395, 693, 3345, 13523, 779, 808, 3291, 589, 269, 543, 3057, 329, 12929, 1284, 514, 6199, 5441, 540, 8551, 543, 7070, 282, 700, 3554, 595, 269, 6022, 1067, 267, 513, 2022, 4777, 28118, 3173, 538, 1284, 514, 6199, 779, 4972, 540, 11061, 282, 543, 5681, 527, 918, 1168, 531, 1090, 8643, 543, 13391, 1993, 340, 1627, 26820, 267, 2022, 4777, 28118, 3173, 538, 15966, 768, 1157, 779, 4972, 540, 10049, 3163, 543, 7177, 563, 300, 1122, 534, 26665, 2006, 1923, 31823, 2336, 2710, 2890, 680, 10415, 3771, 13118, 3606, 4220, 676, 17091, 609, 5739, 4551, 888, 4962, 269, 6860, 269, 1001, 279, 1923, 2274, 30519, 714, 268, 9743, 26623, 24166, 744, 560, 572, 1030, 832, 577, 2426, 2782, 26937, 6686, 526, 324, 454, 305, 583, 7970, 21445, 5647, 1223, 27513, 5488, 267, 14949, 267, 24519, 2861, 5663, 454, 1691, 269, 6349, 269, 1001, 279, 1923, 31089, 7970, 2160, 454, 17206, 540, 21086, 3173, 723, 2813, 513, 27500, 12432, 1500, 540, 16536, 11103, 602, 666, 581, 1031, 547, 7816, 7745, 4452, 24481, 7633, 1510, 519, 8374, 3006, 4843, 676, 824, 2326, 563, 11847, 1515, 532, 2101, 4452, 24481, 7633, 971, 607, 1346, 538, 519, 1850, 666, 581, 513, 1279, 543, 13943, 1184, 563, 19138, 3370, 538, 519, 4760, 589, 5425, 11930, 10049, 1299, 3955, 5865, 568, 519, 6364, 540, 606, 3486, 4674, 602, 3769, 6887, 689, 667, 637, 6577, 543, 12670, 538, 5125, 267, 543, 519, 2475, 563, 14722, 693, 519, 29581, 3128, 16379, 19053, 550, 5300, 667, 637, 6577, 7304, 1601, 754, 21807, 630, 295, 313, 11403, 264, 1927, 609, 9164, 689, 519, 29581, 3128, 16379, 19053, 550, 5300, 12670, 630, 295, 313, 289, 264, 543, 519, 2160, 540, 9098, 2483, 5591, 767, 3810, 3608, 543, 13085, 18325, 11920, 2707, 281, 9122, 593, 2203, 9273, 267, 21575, 540, 519, 7665, 28697, 534, 1188, 4659, 585, 17437, 8212, 538, 1261, 14988, 6199, 15974, 513, 3209, 1505, 585, 606, 3608, 1164, 1532, 18115, 4800, 18325, 11920, 2707, 269, 589, 9649, 2458, 13846, 18325, 11920, 13942, 568, 6383, 689, 519, 5872, 540, 513, 10053, 16600, 3146, 26245, 643, 2065, 6475, 11237, 609, 513, 6094, 4396, 18364, 269, 2037, 1120, 2045, 18325, 17530, 616, 2941, 13124, 3812, 607, 519, 6475, 11237, 10943, 1080, 883, 2083, 14613, 1247, 9070, 908, 2066, 519, 18364, 269, 634, 4611, 18325, 11920, 1648, 543, 13441, 5512, 3209, 6901, 538, 6046, 543, 4909, 6323, 563, 763, 6093, 15423, 540, 1769, 15025, 609, 606, 1843, 540, 519, 2890, 6523, 332, 10253, 609, 519, 2450, 540, 713, 1843, 269, 1280, 8444, 267, 713, 9832, 689, 7298, 1769, 547, 2483, 1805, 762, 4745, 20162, 666, 581, 3812, 689, 2937, 6565, 2281, 23608, 689, 5642, 20768, 269, 901, 568, 1500, 2009, 676, 1802, 1424, 1808, 7636, 3157, 9648, 1282, 25782, 20162, 5250, 267, 607, 3173, 689, 519, 2160, 543, 2160, 11233, 540, 30239, 1867, 538, 519, 3621, 4760, 623, 2793, 306, 563, 26807, 8544, 26067, 2096, 531, 6565, 23995, 668, 531, 2281, 689, 519, 5642, 20768, 540, 4079, 616, 2808, 5393, 9621, 585, 20258, 5160, 20344, 269, 1452, 2937, 6565, 2483, 1103, 519, 4339, 1996, 2860, 267, 3744, 616, 3384, 1007, 5061, 547, 5734, 10510, 2281, 693, 865, 2484, 30694, 4617, 2798, 269, 6270, 513, 968, 338, 648, 5544, 892, 568, 519, 3940, 1950, 2483, 1724, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 1321, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 6021, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 736, 269, 6860, 269, 1001, 279, 1923, 8212, 543, 18395, 454, 736, 269, 6860, 269, 1001, 279, 1923, 3955, 13694, 3194, 454, 736, 269, 6860, 269, 1001, 279, 1923, 8212, 543, 18395, 0, 10908, 659, 1512, 7345, 2817, 5244, 269, 634, 7286, 19069, 540, 3794, 659, 1512, 7345, 2817, 5244, 543, 3465, 2925, 2488, 3255, 585, 7045, 267, 513, 2713, 8047, 585, 11287, 519, 552, 6277, 543, 2095, 540, 22260, 267, 543, 513, 4960, 547, 1353, 1272, 607, 621, 7024, 538, 519, 12687, 540, 1427, 11661, 4672, 563, 8649, 573, 560, 23836, 29278, 267, 3794, 659, 1512, 7345, 3091, 721, 1631, 267, 543, 585, 782, 942, 267, 513, 4276, 547, 513, 3532, 543, 3552, 5251, 269, 634, 6288, 814, 6777, 2275, 11474, 7823, 9832, 8375, 547, 936, 476, 1428, 267, 1822, 3952, 267, 9381, 17822, 609, 6870, 524, 7174, 267, 2620, 535, 329, 3581, 267, 20352, 4248, 22260, 267, 9381, 543, 1609, 340, 25978, 7297, 267, 543, 15195, 12647, 563, 4322, 3309, 2244, 543, 694, 2444, 16747, 3984, 513, 24463, 540, 2030, 2950, 8151, 689, 22082, 2249, 538, 2127, 5063, 6534, 676, 973, 5338, 22260, 267, 547, 6172, 1314, 2950, 538, 4587, 9381, 543, 620, 18090, 8134, 563, 1475, 307, 17687, 1475, 5325, 269, 271, 4113, 674, 1475, 26422, 23438, 1475, 276, 281, 4029, 993, 2008, 347, 8722, 1564, 6145, 1475, 5655, 4113, 674, 1475, 26422, 3553, 1475, 279, 281, 4029, 10681, 2008, 21270, 541, 10309, 1475, 3066, 269, 11025, 1475, 10345, 6489, 1475, 1556, 18890, 2008, 11847, 9285, 676, 30857, 593, 4455, 476, 736, 476, 1001, 279, 267, 476, 273, 281, 6321, 10681, 589, 28474, 307, 689, 29775, 822, 639, 267, 29775, 822, 639, 23076, 267, 31650, 454, 26180, 686, 4455, 476, 736, 454, 347, 11947, 7843, 335, 674, 1475, 4510, 4113, 1475, 5325, 4113, 1475, 5325, 4113, 1475, 4366, 4113, 1475, 4366, 4113, 1475, 4366, 4113, 1475, 4366, 4113, 2008, 347, 20181, 7843, 335, 674, 1475, 4097, 4113, 1475, 4391, 4113, 1475, 4343, 4113, 1475, 4343, 4113, 1475, 4391, 4113, 1475, 3607, 4113, 1475, 3374, 4113, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18140, 1154, 22039, 20518, 1903, 692, 19370, 692, 2791, 2811, 7421, 513, 10471, 543, 1131, 899, 547, 1711, 513, 27008, 4729, 540, 519, 1239, 6029, 922, 4908, 3892, 780, 11405, 692, 8196, 9185, 781, 674, 3918, 12702, 27301, 312, 1599, 547, 12337, 519, 4908, 540, 12136, 540, 1142, 1239, 1448, 543, 946, 9185, 781, 5750, 532, 2934, 630, 5408, 3848, 476, 275, 264, 547, 1711, 519, 27008, 4729, 269, 2107, 946, 519, 2876, 6945, 1907, 538, 519, 4578, 5811, 1039, 2987, 547, 12337, 519, 12451, 540, 12136, 543, 1287, 946, 9185, 781, 28321, 2934, 780, 30206, 692, 8201, 476, 276, 268, 275, 2982, 513, 27008, 4729, 630, 8663, 3113, 264, 2059, 609, 513, 4908, 20372, 630, 1492, 6094, 1899, 264, 543, 19469, 4908, 4729, 630, 1492, 12050, 1899, 264, 585, 513, 1305, 540, 1239, 269, 634, 10471, 585, 713, 1383, 4729, 4564, 519, 16070, 3210, 540, 513, 512, 832, 1308, 5614, 780, 2791, 666, 3533, 1711, 713, 4990, 540, 5750, 1210, 519, 2553, 5941, 2429, 3848, 476, 275, 269, 1411, 3513, 1101, 723, 547, 12337, 519, 4890, 4908, 3892, 585, 707, 10471, 267, 543, 547, 602, 1439, 596, 723, 1079, 5079, 538, 9185, 281, 519, 674, 3918, 12702, 27301, 312, 1599, 610, 519, 2876, 6945, 1907, 3769, 538, 519, 4578, 5811, 1039, 2987, 780, 8201, 476, 276, 268, 276, 2982, 513, 6712, 540, 513, 22369, 5627, 519, 1239, 1031, 585, 519, 27008, 4729, 3254, 538, 7612, 476, 276, 268, 275, 780, 8201, 476, 276, 268, 275, 269, 2876, 6945, 4729, 692, 763, 16070, 3210, 1239, 8659, 538, 6241, 589, 568, 519, 3312, 10471, 585, 799, 12451, 616, 17223, 269, 6969, 7311, 519, 674, 3918, 12702, 27301, 312, 1599, 267, 596, 1590, 1305, 909, 513, 2039, 540, 15768, 10822, 2418, 267, 1572, 25510, 269, 634, 25510, 1106, 13164, 267, 610, 9832, 540, 2418, 267, 1369, 799, 2418, 538, 519, 3312, 10471, 786, 581, 561, 22981, 950, 735, 4979, 12451, 540, 12136, 269, 769, 713, 1383, 267, 594, 917, 519, 16070, 3210, 2418, 2887, 1369, 5111, 910, 1428, 547, 476, 1428, 5232, 282, 4061, 267, 594, 1305, 909, 513, 2039, 540, 10822, 2418, 689, 910, 1428, 547, 476, 1428, 5232, 538, 1213, 906, 540, 476, 272, 4110, 269, 1452, 616, 8659, 538, 6241, 595, 538, 7612, 476, 276, 268, 276, 780, 2414, 12337, 519, 12451, 585, 1142, 10822, 267, 594, 4294, 519, 674, 3918, 12702, 27301, 312, 4542, 267, 8429, 519, 10471, 1591, 2039, 607, 519, 1101, 9936, 543, 519, 10822, 1591, 2039, 607, 519, 2034, 9936, 269, 1280, 1383, 267, 519, 4542, 538, 1591, 667, 276, 568, 2715, 284, 293, 3918, 12702, 27301, 312, 7268, 259, 288, 15478, 276, 281, 15478, 288, 15478, 1911, 276, 12101, 259, 290, 15478, 276, 281, 15478, 290, 15478, 3374, 14587, 269, 18564, 602, 713, 568, 606, 5044, 4542, 543, 547, 4283, 621, 596, 1590, 1101, 2824, 519, 3003, 3977, 1591, 2039, 267, 2281, 667, 276, 547, 667, 3374, 538, 713, 2013, 267, 543, 1287, 4283, 519, 4542, 676, 10296, 595, 27530, 27691, 3424, 268, 11767, 780, 8201, 476, 276, 268, 276, 269, 2876, 6945, 1383, 1239, 692, 2791, 666, 12337, 971, 513, 4908, 3892, 1210, 519, 2876, 6945, 1907, 3079, 540, 519, 674, 3918, 12702, 27301, 312, 1599, 952, 596, 9364, 899, 269, 1677, 798, 865, 267, 2824, 13088, 2592, 270, 308, 25546, 273, 27970, 8473, 284, 271, 285, 4578, 5811, 689, 519, 1292, 10624, 3046, 547, 1930, 519, 4578, 5811, 13972, 4216, 3254, 538, 7612, 476, 276, 268, 277, 780, 10190, 2824, 519, 2876, 6945, 1907, 689, 519, 1592, 540, 2139, 2645, 543, 2046, 15528, 547, 1930, 519, 2876, 6945, 13972, 4216, 3254, 538, 7612, 476, 276, 268, 278, 780, 8201, 476, 276, 268, 277, 269, 4578, 5811, 13972, 4216, 692, 8201, 476, 276, 268, 278, 269, 2876, 6945, 1907, 13972, 4216, 692, 1103, 519, 18452, 16186, 2361, 267, 4283, 610, 2824, 689, 707, 22369, 519, 2039, 540, 2281, 5627, 519, 3403, 10471, 269, 769, 519, 23642, 16186, 2361, 267, 4283, 610, 2824, 519, 2039, 540, 2281, 5627, 519, 10822, 2418, 780, 15152, 834, 20479, 3681, 2437, 2824, 707, 9053, 4087, 585, 519, 3977, 269, 769, 7612, 476, 276, 268, 278, 267, 594, 1305, 519, 3977, 2039, 547, 1376, 693, 1591, 595, 4375, 538, 519, 1482, 4976, 602, 3568, 519, 3312, 10471, 780, 2467, 616, 513, 1906, 824, 3681, 596, 666, 3442, 267, 543, 538, 713, 1383, 594, 8359, 519, 595, 636, 11494, 20587, 720, 4781, 547, 5352, 2418, 585, 519, 19469, 4729, 3254, 4505, 538, 7612, 476, 276, 268, 275, 269, 16270, 10296, 15528, 267, 596, 1058, 1294, 2164, 2147, 547, 1346, 3254, 538, 7612, 476, 276, 268, 276, 269, 0, 258, 476, 1220, 278, 7537, 290, 476, 1321, 289, 10819, 270, 19370, 476, 274, 692, 1012, 9046, 692, 763, 1448, 1269, 302, 259, 568, 519, 4099, 540, 519, 5858, 4931, 30533, 539, 827, 6906, 1269, 27398, 8961, 609, 4399, 4120, 645, 8016, 815, 476, 6344, 17353, 15132, 4151, 543, 4399, 4120, 589, 15477, 815, 476, 9610, 17353, 15132, 20954, 607, 3254, 269, 1548, 568, 519, 4110, 2268, 540, 4399, 4120, 13235, 259, 2496, 7445, 9507, 2715, 263, 288, 14587, 476, 3374, 1422, 29911, 1422, 9507, 2715, 263, 289, 14587, 476, 2412, 1422, 29911, 1422, 9507, 2715, 263, 290, 14587, 476, 3393, 1422, 29911, 1422, 9507, 2715, 263, 291, 14587, 476, 2004, 1422, 29911, 1422, 9507, 2715, 263, 292, 14587, 476, 2568, 6911, 1012, 8827, 692, 7712, 12730, 1269, 5723, 302, 259, 543, 1269, 289, 8016, 259, 616, 568, 30801, 267, 4399, 4120, 9474, 302, 284, 736, 317, 334, 259, 543, 4399, 4120, 744, 6195, 284, 1789, 317, 334, 10608, 4475, 267, 4399, 4120, 13235, 284, 2004, 317, 334, 8961, 610, 4399, 4118, 574, 18950, 291, 264, 4151, 630, 13286, 735, 4979, 19000, 269, 1109, 256, 25613, 18249, 1852, 5311, 4700, 780, 1012, 6423, 4746, 692, 476, 1220, 278, 7537, 290, 476, 1321, 289, 630, 3682, 21793, 3040, 8382, 6206, 3040, 8249, 264, 2776, 1027, 539, 1109, 2421, 19370, 476, 273, 7427, 539, 1109, 2421, 19370, 476, 275, 476, 272, 3040, 476, 273, 3040, 476, 274, 3040, 476, 275, 3040, 476, 276, 3040, 476, 277, 3040, 476, 278, 3040, 476, 279, 3040, 476, 280, 3040, 476, 1015, 3040, 476, 1556, 3040, 476, 1321, 3040, 476, 1724, 3040, 476, 1691, 3040, 476, 1428, 3040, 476, 1626, 3040, 476, 1704, 3040, 476, 1240, 3040, 476, 866, 3040, 476, 736, 3040, 476, 2641, 3040, 476, 2420, 3040, 476, 2537, 3040, 476, 2190, 3040, 476, 1839, 2353, 7537, 290, 476, 1321, 10819, 543, 10298, 692, 763, 2042, 593, 713, 2985, 616, 10677, 539, 676, 519, 19556, 5948, 540, 3013, 781, 1977, 9119, 14847, 1431, 780, 1103, 20777, 27024, 454, 19868, 514, 547, 589, 334, 4916, 0, 18183, 4310, 827, 519, 7353, 29090, 6356, 2496, 2252, 606, 10071, 27141, 609, 4908, 535, 16125, 513, 4496, 609, 513, 960, 3196, 540, 530, 281, 1215, 798, 594, 1265, 519, 2681, 540, 519, 10071, 27141, 543, 519, 12939, 4908, 540, 519, 4496, 2496, 1432, 4834, 616, 2556, 547, 1265, 519, 2681, 543, 12939, 4908, 2496, 3674, 972, 606, 2653, 7778, 585, 713, 2496, 1892, 589, 2656, 24440, 3406, 267, 543, 28957, 1224, 1131, 4440, 581, 3833, 4829, 995, 269, 4455, 476, 2764, 267, 476, 1001, 274, 693, 476, 271, 281, 6872, 454, 1892, 7711, 345, 615, 6996, 910, 594, 4312, 1044, 10478, 585, 606, 5662, 543, 594, 723, 1100, 2856, 875, 547, 1265, 519, 4908, 540, 4496, 267, 1152, 519, 4908, 540, 513, 27141, 269, 4455, 476, 2764, 267, 476, 1001, 274, 693, 476, 272, 281, 4962, 454, 1892, 634, 1360, 1101, 2376, 538, 513, 24440, 3406, 568, 28957, 781, 2584, 29090, 1198, 269, 634, 2376, 11225, 513, 4496, 781, 12939, 4908, 1369, 10199, 519, 1101, 2985, 269, 4455, 476, 2764, 267, 476, 1001, 274, 693, 476, 272, 281, 1626, 692, 272, 8382, 692, 296, 1589, 596, 1058, 556, 22345, 519, 2243, 267, 1317, 834, 325, 15968, 540, 519, 4496, 257, 3085, 1405, 1118, 1454, 2631, 538, 713, 2796, 269, 1656, 519, 2681, 540, 27141, 568, 4096, 656, 1152, 593, 621, 781, 4908, 799, 568, 2016, 269, 1684, 596, 991, 930, 2417, 3137, 593, 602, 2496, 21900, 4141, 977, 781, 1292, 3830, 568, 835, 540, 1648, 3666, 269, 634, 1152, 1648, 2707, 538, 713, 2680, 568, 519, 27141, 4171, 1648, 568, 1269, 327, 325, 10608, 1403, 602, 568, 2614, 547, 30275, 606, 6475, 630, 7445, 613, 530, 259, 1070, 519, 12998, 4386, 269, 634, 31629, 1648, 3587, 15452, 1648, 540, 519, 6475, 269, 3230, 327, 325, 284, 342, 266, 298, 9681, 763, 12939, 568, 519, 2013, 1141, 596, 1205, 1175, 2614, 1648, 547, 12520, 519, 6475, 855, 1100, 31629, 269, 634, 2877, 3830, 568, 3230, 327, 325, 284, 342, 9681, 1892, 594, 5921, 834, 628, 11611, 4908, 540, 519, 4496, 257, 20994, 269, 2433, 263, 4455, 476, 2767, 267, 476, 1001, 274, 693, 476, 2537, 281, 5881, 454, 1892, 4746, 267, 547, 1265, 519, 2681, 267, 594, 2877, 547, 1265, 519, 15423, 538, 16354, 269, 4455, 476, 2764, 267, 476, 1001, 274, 693, 476, 271, 281, 866, 454, 1892, 634, 3830, 585, 602, 568, 524, 11721, 815, 25754, 4455, 476, 2764, 267, 476, 1001, 274, 693, 476, 271, 281, 736, 454, 1892, 1924, 596, 2811, 6031, 602, 547, 1265, 519, 12939, 4908, 540, 519, 4496, 267, 596, 723, 547, 7941, 530, 10774, 286, 4455, 476, 2764, 267, 476, 1001, 274, 693, 476, 272, 281, 6860, 454, 1892, 8786, 267, 530, 10774, 568, 2953, 269, 4455, 476, 2764, 267, 476, 1001, 274, 693, 476, 1015, 281, 6812, 0, 258, 6726, 566, 540, 3196, 689, 632, 5120, 566, 2496, 272, 269, 9484, 476, 1789, 267, 476, 1001, 272, 692, 2162, 8212, 1391, 692, 15916, 1004, 692, 1103, 713, 8142, 594, 993, 5461, 538, 875, 547, 5173, 1715, 27971, 610, 3196, 689, 513, 9991, 1843, 1373, 11074, 676, 2576, 610, 1945, 971, 607, 513, 3684, 780, 1103, 1250, 1383, 2630, 568, 513, 9183, 7042, 288, 476, 7785, 271, 9522, 3440, 540, 4401, 7575, 689, 2047, 1657, 713, 1268, 945, 568, 11315, 2952, 476, 273, 7397, 7381, 543, 3833, 3376, 269, 4706, 3001, 693, 476, 1556, 7397, 270, 16149, 543, 12599, 713, 476, 1556, 7397, 1354, 18644, 713, 1268, 267, 945, 632, 5120, 919, 621, 547, 18923, 3001, 267, 922, 593, 741, 1394, 543, 7059, 609, 873, 2269, 1456, 267, 17570, 4881, 1524, 741, 3068, 3092, 780, 1432, 568, 519, 9819, 547, 1265, 856, 875, 1454, 3196, 538, 1007, 27971, 729, 2838, 547, 3247, 519, 3440, 3001, 2496, 296, 8263, 922, 1138, 559, 3511, 547, 10414, 284, 21346, 343, 659, 5120, 566, 286, 855, 3079, 540, 1035, 743, 3130, 568, 621, 632, 5120, 566, 286, 1772, 621, 811, 7294, 602, 713, 2496, 2690, 1383, 267, 1281, 519, 544, 753, 1378, 2527, 267, 2597, 3092, 1404, 513, 1909, 538, 21716, 930, 540, 519, 4401, 11084, 1378, 3196, 267, 4061, 4227, 519, 3196, 646, 3340, 547, 3247, 621, 609, 1010, 1378, 4222, 286, 594, 993, 8049, 593, 875, 547, 5173, 713, 267, 5225, 948, 780, 14188, 596, 780, 273, 269, 9484, 476, 1789, 267, 476, 1001, 272, 692, 2162, 3220, 1805, 1575, 573, 692, 2467, 568, 1100, 3017, 780, 274, 269, 9484, 476, 1789, 267, 476, 1001, 272, 692, 2162, 4414, 10964, 569, 7176, 692, 1805, 3530, 9622, 7978, 454, 8133, 563, 2414, 513, 21997, 4534, 543, 538, 519, 834, 21346, 1535, 10231, 257, 4542, 596, 5206, 4534, 10231, 4016, 547, 1022, 2557, 540, 1689, 538, 6991, 269, 1546, 5120, 566, 568, 1175, 513, 2027, 2013, 540, 10231, 267, 1141, 519, 3432, 540, 519, 1843, 568, 13302, 780, 275, 269, 9484, 476, 1789, 267, 476, 1001, 272, 692, 2162, 8230, 717, 692, 2005, 568, 1271, 547, 1832, 519, 4703, 5094, 269, 1403, 596, 1616, 547, 917, 519, 3196, 593, 519, 9991, 2527, 267, 1175, 2015, 519, 9991, 2527, 269, 3503, 674, 284, 2742, 1175, 585, 602, 2527, 734, 621, 3085, 1405, 2339, 1141, 602, 3196, 2501, 689, 269, 8074, 519, 1966, 596, 616, 10503, 3340, 811, 1344, 734, 674, 1934, 568, 519, 3196, 689, 519, 812, 16057, 267, 14263, 519, 3196, 540, 8904, 18746, 267, 855, 519, 3017, 1152, 6645, 596, 875, 4028, 519, 3432, 2501, 547, 1964, 734, 865, 596, 849, 991, 547, 917, 875, 1279, 602, 3217, 547, 4194, 585, 519, 3196, 2877, 780, 276, 269, 9484, 476, 1789, 267, 476, 1001, 272, 692, 2162, 11518, 298, 5255, 692, 2791, 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, 21158, 1299, 12267, 454, 24109, 1678, 785, 543, 7186, 454, 763, 8176, 16817, 7690, 630, 290, 5263, 264, 4142, 545, 919, 922, 3646, 547, 519, 5726, 543, 6940, 540, 519, 8895, 777, 31310, 11866, 262, 8134, 269, 4208, 568, 713, 5692, 865, 4143, 888, 763, 8895, 5451, 335, 31310, 11866, 267, 606, 2895, 28396, 476, 272, 267, 1822, 12919, 7178, 540, 519, 3162, 1977, 11782, 267, 616, 1753, 547, 1082, 2189, 2030, 543, 3662, 2249, 602, 666, 1152, 581, 1336, 1934, 543, 24076, 3116, 538, 519, 1158, 269, 1452, 21049, 10689, 5658, 2249, 267, 971, 607, 519, 9649, 12475, 334, 2478, 267, 16817, 781, 1710, 2583, 267, 543, 519, 546, 24387, 4054, 267, 4196, 607, 606, 4367, 547, 519, 13300, 540, 519, 8895, 5451, 335, 31310, 11866, 269, 901, 2306, 519, 10195, 513, 2713, 8047, 267, 1141, 1382, 568, 5342, 602, 2488, 1271, 3621, 1344, 547, 1217, 5726, 693, 513, 2199, 267, 6237, 267, 543, 2518, 4336, 269, 634, 5246, 28396, 568, 849, 513, 10093, 585, 10357, 2389, 712, 1235, 543, 7064, 547, 519, 4294, 1382, 5645, 856, 538, 519, 10195, 267, 621, 568, 1869, 835, 540, 519, 1655, 25535, 5703, 2067, 4025, 538, 519, 1158, 563, 4407, 519, 8895, 5451, 335, 31310, 5246, 28396, 729, 4362, 538, 476, 14631, 276, 267, 621, 7012, 1405, 2394, 476, 8146, 276, 267, 476, 4968, 1296, 2663, 267, 602, 8176, 16817, 8452, 593, 519, 10195, 593, 519, 670, 5960, 2142, 14410, 269, 16817, 24389, 593, 513, 2947, 4458, 3621, 22116, 7836, 2947, 4374, 593, 8895, 5451, 335, 31310, 10655, 543, 4974, 2371, 267, 7725, 267, 7786, 267, 543, 5017, 269, 3571, 7422, 540, 519, 8966, 1272, 3029, 543, 741, 14624, 547, 519, 10792, 543, 10058, 1604, 267, 543, 1010, 2090, 540, 15013, 538, 8895, 5451, 335, 31310, 543, 1472, 519, 8608, 267, 6273, 1010, 2666, 31771, 1433, 267, 2201, 519, 18882, 540, 15661, 267, 3370, 538, 476, 6977, 280, 563, 7343, 6918, 2954, 476, 9032, 260, 540, 519, 2698, 2244, 1858, 540, 519, 8895, 5451, 335, 31310, 5246, 28396, 729, 10294, 513, 2817, 5244, 538, 476, 4198, 280, 269, 634, 2262, 834, 684, 1664, 257, 568, 1419, 1031, 547, 4766, 713, 7415, 851, 540, 519, 1158, 267, 7361, 1813, 547, 519, 1249, 602, 1472, 476, 3199, 260, 540, 2244, 5017, 543, 476, 9032, 260, 540, 20641, 543, 2244, 11864, 616, 21049, 547, 519, 10195, 269, 769, 1840, 267, 476, 1789, 260, 540, 519, 2030, 2249, 543, 811, 982, 476, 736, 260, 540, 519, 7286, 2249, 616, 21049, 563, 1607, 2508, 24597, 5859, 781, 2832, 568, 547, 1489, 519, 2480, 2297, 807, 11206, 5741, 602, 596, 3323, 547, 2149, 543, 4688, 713, 2189, 7226, 538, 519, 8895, 5451, 335, 31310, 269, 2052, 596, 2995, 721, 827, 519, 2956, 540, 713, 1788, 267, 875, 543, 1946, 621, 3357, 827, 888, 763, 2189, 2831, 543, 2371, 540, 519, 8895, 5451, 335, 31310, 5246, 28396, 723, 4810, 1906, 970, 18728, 267, 5631, 1813, 547, 519, 3735, 17091, 676, 3425, 543, 519, 1164, 1377, 540, 4027, 269, 1717, 267, 6683, 543, 12362, 2249, 723, 4299, 1454, 540, 519, 2067, 10664, 602, 2488, 513, 1753, 585, 519, 8966, 2249, 540, 8895, 5451, 335, 31310, 269, 2290, 7226, 1826, 602, 814, 1044, 16094, 4299, 676, 713, 568, 519, 2480, 2297, 807, 4104, 593, 13244, 30434, 6816, 267, 16922, 540, 519, 9649, 546, 24387, 3529, 267, 2480, 2297, 807, 7895, 684, 1529, 1092, 563, 9928, 2297, 807, 7895, 684, 1529, 1092, 666, 1152, 581, 1336, 538, 519, 8895, 5451, 335, 31310, 269, 634, 4104, 568, 1753, 547, 1082, 3662, 2249, 543, 4564, 513, 2629, 21224, 7226, 585, 16817, 781, 1710, 2583, 543, 8038, 13906, 7129, 267, 1034, 540, 799, 616, 13155, 269, 9603, 547, 519, 1249, 602, 519, 20893, 538, 519, 1164, 4133, 7873, 5151, 593, 519, 3529, 781, 3762, 267, 621, 19306, 3606, 1216, 267, 799, 538, 2490, 16881, 519, 2208, 540, 519, 18508, 2404, 609, 519, 4054, 267, 899, 30597, 267, 6132, 2380, 267, 543, 21263, 525, 269, 634, 4104, 267, 799, 814, 1044, 12517, 4299, 676, 2244, 14025, 2242, 998, 6683, 543, 12362, 2249, 267, 3226, 3109, 9440, 267, 568, 1631, 6059, 547, 3382, 1447, 982, 476, 272, 260, 540, 922, 3312, 6708, 593, 13244, 30434, 6816, 563, 299, 3151, 713, 2480, 2297, 807, 4104, 1131, 13497, 6175, 519, 9265, 540, 519, 2895, 28396, 1317, 621, 2488, 519, 7226, 585, 1082, 824, 2249, 269, 1403, 649, 6336, 519, 2480, 2297, 807, 267, 649, 1131, 849, 6336, 519, 2249, 5702, 2404, 609, 713, 546, 24387, 3529, 267, 971, 607, 2371, 602, 1332, 593, 519, 959, 16218, 267, 607, 1134, 607, 21049, 29700, 543, 17984, 563, 7021, 519, 2063, 5216, 1296, 267, 519, 8895, 5451, 335, 31310, 2817, 5244, 10615, 622, 630, 294, 301, 11520, 1070, 609, 519, 3621, 1489, 540, 519, 8176, 16817, 7690, 630, 290, 5263, 1070, 814, 15568, 519, 2553, 547, 1852, 3109, 9440, 543, 824, 14124, 28164, 538, 713, 4104, 269, 6513, 3646, 723, 1044, 5393, 3811, 593, 513, 1507, 4336, 543, 519, 2067, 20344, 540, 519, 13155, 2480, 2297, 807, 7895, 684, 1529, 1092, 814, 1044, 20498, 269, 901, 960, 568, 1360, 4074, 14021, 267, 543, 1310, 606, 3355, 10786, 8336, 3498, 267, 1246, 5346, 8851, 540, 12362, 2371, 814, 547, 581, 5342, 16924, 269, 7043, 3856, 5464, 540, 519, 10664, 267, 29068, 267, 543, 16817, 781, 1710, 2583, 267, 5849, 519, 3811, 1852, 540, 12362, 2249, 1510, 31362, 891, 1875, 339, 13759, 2249, 563, 5978, 1382, 2164, 865, 2484, 723, 7152, 602, 519, 2409, 2877, 547, 8396, 3109, 9440, 543, 11177, 519, 2480, 2297, 807, 4104, 616, 3810, 3811, 543, 10858, 593, 513, 1804, 4336, 269, 1717, 267, 19620, 519, 2480, 2297, 807, 4104, 543, 9870, 4656, 1851, 519, 2199, 2551, 593, 519, 2956, 540, 713, 2067, 7226, 568, 513, 1279, 3856, 4674, 269, 4475, 267, 595, 5263, 1590, 3136, 922, 20089, 540, 2324, 609, 2199, 6705, 543, 5355, 519, 1852, 540, 12362, 2030, 2249, 267, 3226, 540, 3109, 9440, 267, 538, 2817, 5244, 543, 6694, 2127, 267, 1519, 4466, 513, 6211, 1852, 8665, 630, 320, 1505, 540, 9013, 606, 12362, 2249, 267, 1210, 513, 2067, 10546, 540, 602, 2249, 1916, 1692, 786, 1142, 10516, 3565, 547, 713, 1788, 888, 763, 1942, 540, 9544, 835, 2480, 2297, 807, 6079, 1782, 593, 13244, 30434, 6816, 568, 827, 1269, 1015, 269, 901, 2882, 519, 3790, 585, 519, 2030, 3294, 855, 5631, 519, 4074, 2838, 547, 2312, 519, 2244, 1055, 12362, 2371, 1101, 267, 2007, 519, 9544, 8559, 267, 2030, 519, 6079, 1782, 543, 1287, 1216, 621, 267, 952, 2556, 267, 585, 1896, 2395, 269, 1323, 3606, 1269, 276, 829, 2480, 2297, 807, 2030, 568, 2877, 585, 519, 1246, 5346, 1852, 540, 12362, 2030, 2249, 1169, 476, 274, 3275, 585, 513, 1032, 267, 799, 5666, 547, 513, 2698, 1942, 540, 1269, 1428, 829, 12630, 2480, 2297, 807, 3529, 269, 901, 1259, 267, 609, 519, 948, 540, 519, 10897, 574, 3578, 2622, 7690, 267, 649, 1131, 581, 2111, 547, 2490, 513, 19497, 22983, 729, 339, 14657, 883, 513, 2249, 11656, 543, 30436, 2480, 2297, 807, 4104, 1586, 563, 1432, 568, 707, 1620, 540, 519, 1909, 1142, 835, 540, 721, 666, 1404, 538, 7700, 547, 513, 1732, 1158, 888, 763, 8176, 16817, 7690, 11099, 538, 11121, 1762, 1004, 827, 1018, 2257, 666, 798, 585, 5726, 543, 8895, 5451, 335, 31310, 269, 1284, 5431, 519, 1761, 540, 519, 6107, 540, 8895, 5451, 335, 31310, 547, 1831, 519, 2104, 25330, 540, 713, 10475, 2895, 28396, 269, 4475, 267, 595, 5263, 8045, 519, 4065, 543, 7991, 4934, 18943, 630, 4488, 302, 264, 5358, 267, 799, 6663, 547, 7668, 7523, 777, 6558, 25123, 1453, 630, 279, 547, 476, 1321, 1296, 2025, 264, 543, 14038, 630, 1691, 547, 476, 1704, 1296, 2025, 264, 689, 782, 2804, 267, 2686, 543, 6803, 10080, 547, 1921, 609, 2470, 267, 2333, 741, 2631, 540, 5539, 585, 519, 10195, 543, 9797, 3310, 741, 3885, 543, 519, 9962, 2146, 563, 3963, 1705, 596, 6430, 547, 7649, 609, 10897, 574, 3578, 2622, 7690, 888, 9617, 899, 519, 10897, 574, 3578, 2622, 7690, 267, 595, 5263, 11099, 538, 2679, 593, 3811, 5726, 3646, 543, 4543, 2199, 2950, 1265, 2081, 547, 8853, 7258, 2470, 543, 7320, 269, 1284, 3409, 602, 1152, 676, 3927, 10128, 1702, 593, 8895, 5451, 335, 31310, 262, 7286, 543, 18714, 9265, 609, 3375, 1818, 267, 6405, 543, 9434, 3435, 666, 581, 8045, 543, 6940, 666, 581, 6913, 269, 1284, 616, 9599, 543, 18507, 547, 7649, 609, 606, 3919, 602, 568, 2324, 547, 1711, 513, 1732, 1158, 585, 782, 267, 543, 649, 616, 3168, 4464, 547, 2810, 519, 3977, 540, 938, 1382, 609, 707, 1489, 563, 2171, 693, 10897, 574, 3578, 3494, 519, 8176, 16817, 7690, 781, 960, 593, 519, 2480, 2297, 807, 4104, 538, 519, 8895, 5451, 335, 31310, 568, 513, 6305, 1383, 540, 519, 3350, 547, 11177, 938, 4541, 1759, 593, 1702, 543, 2500, 2962, 269, 2334, 781, 1946, 649, 7948, 1405, 581, 18668, 547, 2995, 596, 827, 519, 1967, 540, 713, 5859, 543, 875, 938, 22881, 543, 18793, 3357, 1927, 267, 6659, 5176, 1269, 7785, 271, 267, 543, 10897, 574, 3578, 2622, 7690, 23060, 602, 547, 3592, 1269, 6344, 876, 2336, 763, 2480, 2297, 807, 5117, 786, 2661, 593, 543, 1332, 6793, 269, 11289, 596, 563, 1607, 568, 3776, 20828, 267, 901, 568, 3776, 17030, 454, 2171, 10897, 574, 3578, 2622, 7690, 2285, 5639, 543, 6318, 7482, 547, 1489, 3435, 602, 1689, 519, 1158, 538, 513, 2318, 1259, 269, 0, 763, 3778, 540, 519, 4892, 454, 13729, 12876, 1280, 10162, 534, 5803, 3487, 476, 273, 454, 306, 597, 19124, 681, 1446, 724, 781, 1101, 3801, 547, 7017, 519, 4934, 518, 24434, 540, 3345, 10491, 4534, 519, 1101, 10162, 534, 5803, 12733, 267, 896, 519, 4971, 540, 11184, 9400, 717, 1066, 6807, 4534, 3893, 1055, 547, 513, 11315, 1376, 269, 589, 7088, 1055, 17577, 1185, 16559, 519, 18239, 267, 543, 1152, 717, 1066, 6807, 781, 26286, 543, 7338, 28533, 754, 880, 781, 10906, 1500, 621, 547, 519, 8815, 954, 574, 14906, 14162, 31773, 593, 519, 27623, 5032, 540, 17896, 22656, 269, 717, 1066, 6807, 543, 28533, 754, 880, 25579, 1639, 519, 18239, 609, 5053, 26065, 267, 543, 5555, 3893, 547, 15729, 670, 2660, 553, 1152, 547, 6336, 1034, 540, 519, 12733, 781, 7727, 950, 519, 26286, 10443, 989, 1037, 3843, 547, 4283, 31656, 997, 334, 14675, 269, 1284, 849, 1865, 519, 834, 14937, 26499, 257, 7521, 267, 519, 14469, 626, 2070, 602, 4550, 4149, 20725, 18259, 676, 2296, 543, 10656, 14308, 1218, 15490, 569, 6766, 1454, 540, 519, 3239, 540, 519, 5053, 10504, 267, 543, 875, 1079, 1919, 666, 581, 3020, 693, 2899, 563, 763, 12286, 3239, 585, 713, 12558, 568, 11184, 9400, 717, 1066, 6807, 693, 2085, 476, 3066, 563, 15675, 539, 8100, 585, 713, 12558, 454, 22832, 24125, 267, 589, 8003, 5899, 1052, 281, 634, 16684, 543, 3004, 11551, 3778, 540, 519, 23452, 2051, 3415, 540, 10162, 534, 5803, 454, 21837, 2142, 619, 2372, 4883, 267, 5590, 12876, 585, 10162, 534, 5803, 281, 30576, 1137, 543, 16690, 625, 267, 476, 15647, 275, 268, 8182, 277, 454, 14937, 26499, 630, 8967, 664, 994, 2704, 534, 15593, 2006, 267, 834, 14187, 31876, 257, 0, 763, 21091, 1982, 540, 25328, 540, 5303, 630, 289, 11053, 3663, 264, 543, 27587, 540, 5303, 630, 300, 11053, 3663, 264, 568, 513, 2947, 4458, 4081, 1576, 602, 6663, 693, 8600, 1099, 5505, 543, 8030, 538, 782, 8371, 609, 519, 2838, 2359, 1983, 563, 1432, 568, 645, 11053, 3663, 266, 300, 11053, 3663, 21091, 6092, 888, 268, 901, 1576, 568, 10416, 2966, 585, 23904, 1053, 945, 1616, 547, 9765, 538, 519, 2361, 540, 2257, 543, 4702, 563, 268, 634, 12242, 4110, 1576, 2488, 519, 1898, 1983, 543, 1702, 547, 519, 1053, 547, 1118, 873, 2048, 338, 2133, 1235, 685, 538, 1880, 2127, 540, 2029, 563, 268, 634, 21091, 1576, 540, 645, 11053, 3663, 543, 631, 269, 27700, 4625, 6212, 593, 519, 17950, 585, 519, 25462, 540, 519, 1053, 563, 268, 634, 1576, 2356, 9072, 3246, 6310, 543, 12669, 17790, 3741, 543, 741, 3498, 269, 4033, 29782, 540, 713, 1184, 4125, 519, 1646, 267, 1374, 267, 543, 10512, 6268, 540, 4496, 3334, 540, 4452, 24481, 267, 6771, 267, 1379, 267, 7293, 267, 543, 3001, 1062, 547, 519, 1053, 454, 289, 11053, 3663, 266, 300, 11053, 3663, 21091, 6092, 30991, 912, 268, 634, 6437, 540, 519, 21091, 645, 11053, 3663, 543, 631, 11053 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16304, 856, 1927, 568, 711, 513, 2067, 3364, 269, 589, 17794, 711, 1951, 21794, 1055, 922, 6146, 543, 4189, 621, 2676, 529, 711, 513, 2067, 3364, 734, 543, 2943, 602, 781, 4010, 1018, 5949, 454, 763, 1448, 540, 782, 891, 4191, 912, 320, 269, 1677, 12927, 519, 5168, 540, 2696, 781, 6478, 734, 621, 786, 2097, 547, 1780, 454, 321, 269, 1677, 1291, 7603, 984, 27961, 547, 29187, 7728, 23814, 543, 5132, 538, 2696, 454, 9616, 519, 8909, 2063, 1913, 540, 938, 3184, 834, 4634, 1310, 713, 267, 7603, 984, 27961, 1705, 711, 1689, 1010, 9409, 2081, 267, 855, 2899, 454, 3467, 12912, 20577, 585, 519, 1164, 4025, 689, 782, 12204, 540, 1004, 269, 25175, 945, 4941, 547, 1831, 513, 17308, 454, 515, 13394, 3603, 585, 519, 1164, 4025, 269, 476, 4097, 901, 729, 519, 5609, 540, 519, 2777, 540, 7603, 984, 27961, 602, 3366, 547, 922, 31774, 454, 663, 547, 922, 9552, 689, 519, 3068, 540, 519, 3618, 4799, 7659, 281, 834, 14110, 2894, 19200, 9898, 24199, 1862, 7055, 1432, 729, 519, 3483, 540, 1346, 4191, 286, 898, 729, 2696, 4758, 7603, 984, 27961, 513, 4960, 547, 1065, 550, 268, 589, 4960, 646, 28520, 454, 288, 3992, 689, 7603, 984, 27961, 281, 667, 2177, 31415, 18688, 5254, 308, 17668, 3036, 301, 349, 5213, 1405, 7947, 2696, 781, 1289, 269, 5213, 1405, 7947, 3571, 23502, 563, 1103, 1261, 3691, 9749, 476, 274, 281, 1428, 621, 3081, 282, 834, 9213, 267, 952, 596, 5873, 1010, 5639, 267, 798, 711, 2182, 523, 707, 12271, 607, 596, 1705, 538, 519, 454, 9213, 568, 519, 1554, 540, 6428, 14010, 281, 12414, 547, 2441, 543, 581, 10710, 563, 272, 18301, 476, 1724, 568, 513, 1483, 1985, 1257, 602, 568, 8678, 1927, 676, 1079, 7368, 2453, 834, 1492, 812, 540, 2696, 257, 543, 834, 763, 454, 5320, 540, 519, 28789, 257, 543, 676, 4191, 563, 763, 2798, 616, 10750, 454, 268, 2171, 616, 547, 3343, 547, 581, 2367, 543, 6468, 540, 2696, 2336, 5336, 523, 540, 2696, 270, 18131, 540, 2696, 23491, 519, 6478, 540, 519, 7083, 454, 5336, 523, 540, 2696, 270, 18131, 540, 2696, 2995, 519, 5168, 454, 268, 763, 6478, 540, 519, 7083, 2141, 2501, 547, 1780, 454, 4149, 514, 2501, 609, 4539, 24179, 1721, 1010, 5609, 7603, 984, 27961, 4503, 1018, 1223, 723, 1044, 606, 15813, 1747, 538, 454, 20931, 269, 1280, 1010, 5609, 267, 519, 812, 540, 2696, 4503, 1010, 1272, 4700, 4906, 3357, 547, 4688, 721, 689, 938, 21359, 454, 5025, 3216, 547, 3571, 23502, 543, 11419, 2696, 1281, 930, 7168, 5863, 1919, 547, 1205, 9082, 3007, 543, 547, 454, 1962, 532, 873, 547, 5132, 543, 1065, 550, 766, 281, 1403, 1152, 7603, 984, 27961, 22821, 1405, 723, 1044, 865, 29134, 734, 1403, 596, 5749, 1405, 1739, 454, 13731, 267, 1810, 1405, 581, 29134, 268, 2490, 547, 2441, 543, 581, 10710, 269, 0, 763, 2596, 7291, 540, 513, 1957, 519, 1739, 7291, 2982, 513, 2596, 3898, 585, 1034, 4081, 4574, 1383, 267, 18802, 267, 610, 3140, 2796, 602, 12857, 519, 1957, 1888, 2285, 606, 7650, 540, 1022, 2152, 3238, 609, 519, 1641, 5581, 540, 1022, 1883, 16166, 991, 547, 1174, 519, 1888, 952, 513, 1382, 1957, 267, 946, 2178, 2963, 689, 269, 5675, 606, 7291, 585, 513, 1382, 1957, 666, 3100, 899, 513, 942, 10438, 4305, 267, 543, 596, 949, 711, 1174, 519, 1871, 540, 621, 952, 596, 723, 2760, 2854, 835, 1354, 14592, 666, 948, 596, 2497, 707, 1382, 543, 707, 3803, 1957, 538, 1454, 811, 3608, 2081, 267, 1498, 267, 865, 621, 568, 513, 1434, 2856, 602, 596, 1451, 269, 5675, 513, 1686, 1957, 568, 513, 1184, 3811, 4574, 616, 711, 6192, 538, 513, 2582, 4090, 540, 21184, 610, 6667, 267, 855, 616, 2919, 936, 513, 3126, 540, 3268, 950, 596, 1101, 1224, 513, 1957, 5401, 267, 596, 1522, 1745, 16397, 610, 19531, 730, 563, 2026, 707, 1382, 1957, 3217, 3337, 596, 786, 1265, 602, 596, 991, 4282, 593, 1004, 267, 4025, 267, 2621, 267, 3092, 798, 711, 1175, 7048, 593, 930, 2489, 5619, 585, 782, 540, 707, 4282, 2638, 519, 1896, 1434, 21594, 540, 12092, 585, 4282, 593, 1004, 267, 610, 1294, 952, 972, 568, 513, 3044, 1433, 27480, 12092, 269, 634, 1382, 1957, 7291, 1383, 1657, 1152, 5713, 607, 519, 11953, 7633, 540, 707, 1382, 1957, 547, 1711, 606, 1383, 540, 513, 1382, 1957, 602, 568, 5963, 14222, 267, 835, 2115, 547, 17145, 856, 741, 1382, 1957, 7291, 609, 519, 4143, 5779, 269, 5675, 513, 1434, 1686, 1957, 1686, 8257, 554, 15071, 2852, 9736, 339, 6412, 4315, 540, 554, 15071, 2852, 267, 476, 1220, 279, 11760, 906, 713, 27412, 12217, 835, 2012, 267, 855, 621, 568, 2731, 513, 18497, 4674, 1775, 8910, 3824, 538, 1686, 3568, 3730, 5796, 593, 3140, 1382, 543, 1603, 476, 272, 476, 273, 476, 1556, 476, 1626, 476, 2420, 476, 3066, 476, 4029, 476, 3953, 476, 4097, 476, 4097, 1283, 4557, 4128, 585, 2942, 8292, 593, 563, 7078, 540, 606, 7291, 585, 513, 1101, 1032, 1377, 1686, 1957, 9794, 543, 31423, 18484, 1433, 2689, 22812, 14142, 1957, 910, 1383, 476, 272, 9794, 543, 31423, 18484, 1433, 2689, 22812, 14142, 1957, 910, 1383, 476, 273, 269, 634, 1382, 1957, 7291, 568, 1898, 585, 1022, 2376, 610, 2165, 1957, 519, 7291, 949, 1118, 513, 1390, 3017, 593, 875, 707, 960, 568, 14648, 269, 476, 272, 4808, 585, 1603, 606, 1148, 1686, 1382, 1957, 676, 1743, 561, 19313, 795, 1835, 776, 267, 1148, 8257, 1775, 3919, 519, 1382, 1957, 3217, 835, 540, 1079, 3029, 281, 10763, 543, 2239, 563, 763, 2596, 7291, 540, 513, 1957, 519, 1739, 7291, 2982, 513, 2596, 3898, 585, 1034, 4081, 4574, 1100, 2339, 1018, 3259, 519, 1957, 2115, 547, 581, 267, 621, 1058, 1869, 1246, 519, 3898, 540, 2348, 606, 4367, 267, 1560, 267, 543, 3932, 269, 9137, 7291, 1383, 281, 8918, 3898, 630, 23486, 264, 2376, 7291, 10959, 281, 8918, 3898, 630, 25269, 343, 264, 2376, 7291, 1383, 281, 21229, 534, 10179, 545, 3898, 630, 23486, 264, 606, 7291, 568, 513, 4786, 540, 513, 3476, 960, 267, 799, 666, 581, 4376, 689, 513, 5618, 1557, 547, 513, 2407, 27480, 1433, 563, 2690, 1022, 1382, 1957, 267, 621, 568, 1898, 547, 1174, 875, 547, 2328, 606, 7291, 538, 1082, 4610, 267, 1382, 4574, 2154, 606, 7291, 267, 607, 606, 7533, 851, 540, 519, 1957, 538, 1082, 4610, 267, 1382, 4574, 2154, 606, 7291, 267, 607, 606, 7533, 851, 540, 519, 1957, 269, 1323, 7291, 568, 513, 968, 321, 1663, 788, 11781, 892, 610, 968, 17839, 892, 585, 707, 1957, 621, 2337, 596, 547, 10891, 707, 4555, 543, 7440, 513, 1434, 7291, 666, 1118, 10647, 1382, 543, 1287, 1603, 519, 1957, 1360, 3608, 269, 0, 29445, 18315, 3594, 20420, 454, 303, 3639, 593, 18367, 18315, 1382, 1957, 2165, 4574, 519, 2669, 540, 1200, 5067, 543, 519, 20420, 540, 1200, 1272, 607, 13269, 538, 519, 18367, 18315, 3594, 269, 29975, 1557, 1863, 1557, 10959, 1863, 1557, 1806, 267, 1557, 12043, 267, 1603, 2645, 543, 1603, 4388, 269, 10749, 1299, 4574, 10072, 538, 18367, 18315, 910, 1957, 1383, 10072, 538, 18367, 18315, 598, 2784, 737, 571, 1067, 544, 3464, 910, 10072, 538, 971, 607, 4965, 543, 20420, 269, 1520, 3939, 3594, 11049, 5098, 11556, 20420, 538, 18367, 18315, 2048, 325, 17213, 18315, 16224, 6692, 2917, 5693, 7710, 519, 1888, 540, 20420, 676, 6313, 543, 563, 15507, 532, 585, 20420, 538, 18367, 18315, 3594, 1265, 1863, 20420, 538, 18367, 18315, 3594, 267, 2165, 4574, 267, 1382, 4574, 267, 1433, 5359, 267, 1557, 3584, 267, 2852, 3594, 269, 6178, 539, 267, 20177, 267, 9447, 1888, 2433, 10072, 1451, 609, 15460, 267, 3756, 267, 543, 811, 2443, 585, 1863, 269, 1744, 15879, 641, 3391, 547, 29827, 6692, 2917, 20420, 1175, 607, 18367, 18315, 5795, 4332, 547, 5553, 540, 18009, 32187, 4553, 676, 513, 4015, 540, 6692, 2917, 781, 3594, 543, 824, 563, 763, 1198, 540, 10072, 543, 18349, 538, 519, 3209, 18367, 18315, 676, 29827, 6692, 2917, 267, 519, 3594, 1299, 1603, 10274, 585, 1053, 14126, 827, 17096, 1224, 713, 269, 31701, 17165, 267, 538, 713, 607, 1775, 1616, 18367, 18315, 10072, 1557, 1557, 10583, 547, 10072, 1557, 10643, 585, 15754, 547, 519, 6249, 540, 635, 270, 612, 904, 11721, 17213, 18315, 269, 29975, 3594, 543, 519, 1535, 3495, 2540, 543, 2367, 1957, 593, 20420, 814, 1044, 11643, 676, 1810, 512, 3100, 4023, 267, 540, 1514, 7506, 593, 519, 20420, 3594, 563, 29445, 18315, 3594, 6692, 2917, 910, 6249, 540, 20420, 538, 18367, 18315, 269, 1677, 917, 811, 827, 14949, 10822, 16926, 25510, 585, 16926, 538, 5283, 20860, 5098, 18367, 18315, 20420, 2972, 21295, 1557, 1806, 540, 2852, 3498, 3594, 269, 21771, 616, 1419, 3769, 538, 3332, 538, 1931, 547, 1683, 811, 2495, 543, 606, 8476, 1620, 540, 519, 1257, 538, 519, 3209, 267, 18367, 18315, 267, 2854, 676, 29827, 6692, 2917, 538, 476, 8687, 279, 267, 6692, 2917, 27711, 519, 6249, 540, 1151, 3363, 543, 20420, 269, 634, 20599, 543, 4619, 528, 18367, 18315, 1312, 1745, 4805, 538, 519, 1158, 9267, 2023, 547, 803, 568, 538, 519, 1647, 540, 782, 540, 713, 646, 12034, 519, 2942, 1919, 8345, 269, 634, 20599, 547, 4619, 528, 18367, 18315, 538, 3184, 476, 1015, 540, 29827, 530, 4178, 761, 1168, 1251, 1260, 270, 22967, 11721, 17213, 18315, 7146, 17038, 1329, 566, 7146, 2000, 517, 17165, 2173, 776, 3332, 3594, 563, 10403, 1383, 540, 1433, 1867, 593, 18367, 18315, 676, 29827, 6692, 2917, 3732, 1557, 1433, 2079, 2688, 268, 612, 904, 3073, 2688, 621, 568, 519, 13357, 540, 20420, 543, 269, 10374, 1557, 593, 2648, 676, 29827, 6692, 2917, 781, 18367, 18315, 2110, 3594, 593, 20420, 1775, 6415, 5143, 1294, 513, 1404, 688, 22106, 609, 938, 5830, 2736, 519, 4220, 540, 2261, 2088, 1183, 1122, 534, 11783, 14430, 593, 18367, 18315, 543, 2152, 540, 10205, 618, 2165, 519, 2669, 540, 1200, 5067, 543, 519, 20420, 540, 1200, 1272, 607, 13269, 538, 519, 18367, 18315, 3594, 269, 29975, 281, 519, 946, 540, 10072, 3594, 529, 15684, 666, 581, 1312, 2168, 543, 3929, 621, 666, 849, 581, 513, 3903, 610, 621, 666, 581, 13684, 2390, 596, 513, 2603, 540, 1004, 538, 519, 1158, 1745, 9678, 1317, 540, 741, 4664, 269, 10749, 543, 9880, 593, 29827, 6692, 2917, 781, 18367, 18315, 910, 18367, 18315, 610, 267, 519, 2413, 1596, 9220, 639, 29827, 530, 3326, 7723, 8154, 6692, 2917, 563, 32487, 593, 18367, 18315, 616, 930, 4555, 593, 18367, 18315, 18367, 18315, 568, 538, 3594, 14046, 3594, 593, 18367, 18315, 4574, 18367, 18315, 1557, 593, 20420, 269, 2598, 25068, 281, 1863, 3594, 593, 3332, 11540, 593, 713, 3135, 941, 24603, 676, 20822, 3755, 543, 616, 3177, 585, 21141, 946, 1152, 519, 1863, 3332, 1382, 1957, 630, 325, 17213, 18315, 281, 339, 22351, 10072, 1557, 264, 4843, 593, 713, 2985, 1058, 711, 581, 9763, 607, 513, 3732, 540, 938, 593, 11060, 1603, 3028, 269, 901, 2875, 1557, 5161, 540, 5111, 476, 274, 3817, 540, 2079, 540, 20420, 538, 12335, 781, 5067, 6339, 476, 3066, 543, 538, 6692, 2917, 781, 18367, 18315, 5758, 281, 513, 6476, 540, 12335, 781, 5067, 6339, 476, 3066, 543, 29827, 6692, 2917, 781, 18367, 18315, 609, 2543, 547, 519, 6249, 540, 20420, 519, 3197, 538, 891, 1568, 6542, 269, 717, 22330, 7005, 3332, 14469, 585, 18367, 18315, 713, 3184, 2488, 3732, 3594, 2854, 676, 10453, 4974, 519, 3209, 563, 268, 29975, 1353, 3391, 3568, 513, 12092, 540, 29827, 6692, 2917, 267, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 563, 268, 5851, 1863, 3594, 1312, 2048, 325, 17213, 18315, 685, 543, 2048, 1993, 8983, 543, 2367, 685, 616, 7255, 609, 519, 4798, 540, 20420, 543, 21341, 563, 10403, 1557, 281, 6249, 540, 20420, 538, 18367, 18315, 538, 519, 3209, 18367, 18315, 267, 676, 29827, 6692, 2917, 267, 835, 540, 519, 1883, 4798, 568, 20420, 585, 1082, 267, 1034, 540, 741, 942, 269, 29975, 568, 19533, 519, 3209, 7710, 540, 6249, 540, 20420, 543, 6999, 547, 723, 519, 1557, 3370, 593, 519, 20410, 3594, 3896, 1287, 5225, 4945, 593, 269, 589, 5758, 540, 4798, 538, 29827, 6692, 2917, 781, 18367, 18315, 1451, 4010, 1018, 5949, 538, 713, 3184, 267, 6429, 267, 610, 3296, 540, 18367, 18315, 543, 1018, 621, 1797, 3501, 585, 1035, 532, 3594, 267, 4255, 267, 543, 17118, 267, 607, 1134, 607, 585, 1603, 3992, 4566, 269, 21771, 538, 18367, 18315, 18367, 18315, 267, 1312, 1459, 741, 20420 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 27793, 2291, 1079, 28286, 22241, 3029, 616, 27339, 543, 8641, 924, 267, 9181, 532, 827, 12856, 540, 27339, 543, 8641, 924, 649, 1590, 917, 1703, 616, 1079, 1455, 28286, 28979, 540, 3327, 267, 24083, 718, 710, 3029, 540, 3693, 531, 3327, 616, 1114, 269, 14755, 891, 267, 972, 616, 2890, 322, 31051, 710, 3029, 799, 941, 5892, 9833, 607, 993, 6973, 748, 269, 1452, 616, 5755, 267, 1071, 651, 267, 23315, 267, 3327, 3109, 267, 3092, 269, 28541, 568, 1634, 547, 2291, 538, 26543, 543, 993, 6973, 748, 3029, 269, 4436, 1756, 849, 6818, 538, 1079, 26543, 1106, 19452, 267, 17646, 6818, 538, 1614, 4396, 3029, 281, 15454, 17646, 267, 3043, 17646, 543, 32077, 545, 17646, 269, 27578, 17646, 568, 7123, 2630, 476, 1240, 9180, 3043, 17646, 1657, 476, 1240, 9180, 543, 32077, 545, 17646, 1657, 476, 14065, 9180, 269, 27578, 17646, 6818, 2356, 538, 8869, 1106, 543, 513, 4057, 18364, 540, 5201, 563, 11004, 1150, 267, 19330, 17285, 3601, 269, 4706, 5860, 568, 476, 276, 268, 4037, 575, 4699, 23326, 269, 6519, 17646, 267, 593, 519, 824, 1688, 267, 568, 2571, 267, 13811, 850, 543, 513, 1434, 18364, 540, 5201, 269, 898, 814, 267, 4061, 267, 17285, 1915, 269, 898, 814, 849, 519, 8912, 17285, 561, 755, 516, 269, 9861, 7123, 693, 4055, 2837, 267, 621, 568, 519, 1034, 1455, 1106, 540, 17646, 269, 4706, 5860, 568, 476, 278, 268, 1789, 575, 4699, 454, 1805, 4450, 540, 27339, 454, 291, 3554, 1180, 568, 3927, 593, 5122, 1202, 15975, 543, 621, 568, 519, 23698, 1100, 2067, 6219, 543, 1934, 519, 10700, 31492, 27339, 568, 835, 540, 519, 1034, 3810, 11720, 539, 17576, 7723, 267, 713, 568, 519, 2168, 4644, 540, 27339, 269, 27339, 616, 3335, 7990, 1652, 998, 19987, 630, 4310, 585, 1818, 24200, 269, 4563, 8053, 6923, 9648, 4853, 269, 2107, 607, 835, 31492, 32340, 264, 616, 540, 9522, 14776, 3568, 513, 10250, 540, 21193, 4088, 855, 4544, 14776, 3568, 513, 10250, 540, 1325, 3079, 269, 769, 27339, 1142, 3327, 11046, 568, 25543, 1117, 337, 958, 11303, 676, 2185, 824, 3327, 11046, 1142, 693, 513, 3845, 540, 476, 272, 269, 276, 6993, 4113, 10200, 634, 25543, 1117, 571, 568, 5532, 1927, 538, 513, 1614, 21021, 630, 1789, 264, 9649, 11140, 634, 1770, 1591, 568, 12945, 543, 2178, 32128, 7554, 8831, 538, 782, 4287, 865, 519, 13621, 1820, 25983, 958, 1164, 630, 12671, 476, 4375, 269, 1789, 4113, 322, 264, 543, 519, 2497, 949, 581, 2182, 454, 2005, 786, 581, 2938, 602, 1142, 3327, 11046, 1813, 547, 5532, 547, 2185, 4478, 3327, 8444, 14084, 693, 519, 15174, 540, 519, 25543, 28353, 676, 2178, 32128, 7554, 998, 4687, 540, 741, 1130, 1890, 9211, 269, 634, 1267, 568, 513, 1360, 2462, 267, 1614, 8820, 12249, 269, 9603, 547, 1164, 4222, 540, 32128, 7554, 8066, 3875, 3327, 8444, 1927, 267, 14776, 568, 1360, 2182, 543, 814, 1164, 5860, 269, 4595, 13621, 540, 14776, 3340, 8840, 540, 519, 2178, 32128, 7554, 267, 519, 13621, 1448, 540, 14776, 568, 29099, 1164, 267, 1373, 2673, 547, 476, 12573, 271, 9180, 269, 27339, 568, 519, 6986, 560, 1106, 540, 3327, 543, 568, 519, 23698, 6219, 1634, 269, 898, 814, 513, 1360, 1164, 31659, 4994, 630, 273, 268, 275, 1704, 264, 543, 513, 1360, 1164, 5860, 630, 274, 268, 7906, 575, 4699, 268, 274, 693, 476, 1839, 9180, 1040, 898, 568, 12001, 547, 2473, 17530, 543, 568, 513, 3983, 18364, 540, 3002, 543, 5201, 563, 1805, 4450, 540, 8641, 924, 454, 20877, 924, 568, 7768, 540, 6366, 1079, 1079, 21021, 6656, 540, 3327, 8444, 269, 3962, 6656, 1261, 343, 21192, 2121, 540, 12539, 8444, 543, 949, 581, 9833, 513, 1906, 1062, 540, 22904, 2940, 8258, 269, 634, 4494, 616, 4371, 1927, 676, 5266, 609, 966, 6387, 6821, 4229, 269, 769, 13672, 630, 320, 264, 27948, 519, 4494, 616, 14340, 538, 5311, 9474, 5723, 16634, 3828, 603, 3791, 4494, 4010, 1657, 519, 1101, 4494, 269, 769, 645, 7534, 27948, 630, 289, 264, 519, 1931, 540, 519, 4494, 568, 13235, 27398, 16634, 2311, 519, 1079, 3029, 616, 954, 935, 3200, 762, 269, 2201, 8022, 8641, 924, 7140, 883, 645, 543, 8860, 7140, 1299, 883, 645, 269, 538, 1312, 1106, 519, 524, 2275, 6125, 3259, 609, 538, 513, 6656, 616, 476, 272, 269, 6078, 589, 4113, 543, 519, 3845, 1063, 1079, 6106, 568, 476, 274, 269, 3374, 288, 4113, 269, 1924, 519, 16345, 1063, 6106, 568, 4617, 269, 8641, 924, 1579, 2314, 3362, 1063, 519, 6106, 799, 6589, 585, 519, 7415, 2571, 1145, 540, 12627, 454, 763, 3845, 1063, 519, 1079, 20422, 6106, 568, 1804, 865, 519, 7872, 540, 32128, 16345, 1063, 3327, 8444, 538, 1114, 6106, 269, 9747, 267, 519, 8772, 1130, 1890, 540, 1142, 3327, 11046, 3788, 5667, 15384, 30829, 267, 26759, 23463, 519, 8772, 1130, 1890, 6475, 3788, 10002, 8529, 610, 1863, 269, 901, 1863, 6475, 666, 3362, 1847, 689, 835, 3327, 11046, 547, 1776, 896, 519, 3310, 540, 4294, 1761, 269, 901, 14998, 519, 8574, 540, 5201, 998, 27948, 543, 2306, 27948, 513, 1434, 18364, 540, 5201, 563, 1805, 4450, 540, 27975, 548, 16867, 454, 293, 592, 548, 1066, 525, 616, 28286, 1886, 525, 540, 3327, 2348, 519, 2489, 4542, 595, 273, 630, 333, 284, 1789, 268, 4366, 1040, 1452, 616, 5423, 676, 8429, 1164, 6453, 1699, 998, 27948, 22203, 538, 16931, 5790, 540, 26775, 269, 634, 27948, 519, 22203, 1016, 331, 1307, 6721, 513, 2770, 27918, 2527, 1572, 2048, 995, 548, 16867, 865, 582, 269, 901, 865, 582, 568, 1287, 15702, 538, 5214, 30177, 971, 607, 22904, 2940, 543, 24885, 8319, 1117, 950, 519, 3435, 540, 6986, 595, 2568, 630, 12671, 476, 8064, 8472, 543, 630, 12671, 476, 736, 8472, 5094, 856, 607, 2101, 8454, 269, 19724, 5666, 630, 12671, 476, 272, 8472, 540, 2362, 3505, 548, 1066, 525, 540, 595, 2568, 267, 595, 3583, 267, 595, 3199, 267, 3092, 1421, 849, 5094, 856, 538, 519, 1184, 269, 634, 3435, 950, 13671, 267, 6556, 14848, 540, 3505, 548, 1066, 525, 5627, 19857, 6675, 16290, 538, 519, 26300, 1182, 269, 634, 1016, 3916, 566, 540, 891, 3956, 538, 12511, 11729, 19857, 6954, 3505, 548, 16867, 14848, 563, 763, 1034, 1455, 540, 891, 27975, 548, 1066, 525, 267, 595, 2568, 267, 3568, 476, 736, 15279, 30368, 543, 476, 1321, 20008, 30368, 540, 3327, 513, 535, 4310, 609, 835, 1776, 4611, 538, 513, 20085, 11176, 6438, 9511, 267, 607, 3254, 563, 2467, 616, 1079, 2010, 540, 595, 4211, 7554, 538, 519, 2497, 540, 595, 2568, 835, 540, 799, 568, 476, 272, 268, 4366, 589, 4113, 543, 519, 824, 568, 476, 272, 268, 4343, 589, 4113, 538, 3259, 269, 4014, 519, 3505, 548, 16867, 595, 2568, 568, 835, 540, 519, 1034, 2269, 1441, 6675, 1634, 865, 2484, 2943, 621, 2982, 1164, 15452, 6617, 269, 11048, 267, 922, 8143, 6617, 568, 1447, 982, 602, 540, 27948, 543, 14776, 269, 898, 6238, 10920, 19397, 693, 827, 476, 10384, 9180, 563, 1103, 519, 3505, 548, 16867, 595, 2568, 972, 616, 5216, 3982, 2010, 540, 595, 4211, 7554, 609, 13080, 8795, 1063, 476, 272, 281, 4375, 589, 543, 476, 272, 268, 7918, 288, 4113, 901, 3505, 548, 16867, 814, 849, 20085, 267, 11176, 6438, 2497, 5627, 1896, 15279, 30368, 543, 20008, 30368, 540, 3327, 8444, 535, 4310, 1927, 269, 14451, 3505, 548, 1066, 525, 723, 2147, 11176, 6438, 3889, 269, 0, 1103, 513, 1353, 3370, 593, 5239, 476, 1321, 267, 476, 1708, 273, 267, 3173, 689, 18628, 2160, 9672, 602, 789, 6707, 1098, 680, 5896, 1480, 11409, 883, 519, 12058, 540, 20169, 14148, 269, 12207, 4126, 547, 946, 713, 13120, 547, 1353, 1480, 14715, 2175, 610, 547, 1449, 1007, 17867, 5061, 563, 2690, 519, 13003, 267, 3744, 2813, 804, 7927, 540, 1480, 2634, 2281, 1572, 968, 6716, 6950, 2223, 799, 8057, 883, 1007, 11409, 543, 17370, 1600, 2933, 883, 513, 9241, 4646, 8401, 1062, 269, 1358, 2919, 519, 1418, 6950, 689, 1480, 2960, 1591, 5439, 267, 799, 789, 1223, 6460, 883, 11409, 998, 513, 3126, 540, 3114, 6547, 538, 519, 3731, 2634, 269, 4014, 3173, 723, 5340, 513, 2147, 22813, 13003, 593, 2937, 14148, 538, 519, 2250, 267, 519, 1869, 23923, 532, 12058, 540, 7820, 14148, 4847, 519, 1480, 11409, 547, 11753, 883, 519, 1560, 811, 7561, 269, 3962, 540, 519, 20169, 3731, 13003, 10457, 849, 1185, 14524, 531, 4761, 1949, 547, 2061, 519, 18349, 540, 519, 4914, 2281, 269, 634, 3056, 5778, 27023, 626, 540, 519, 1353, 3220, 269, 590, 1120, 24926, 623, 2444, 320, 543, 1010, 9164, 267, 10443, 6901, 593, 519, 14148, 547, 5659, 519, 2360, 540, 519, 1098, 680, 5896, 1418, 6950, 593, 741, 2623, 563, 2414, 5659, 875, 519, 2281, 1223, 1764, 519, 14148, 267, 3173, 1031, 1904, 4094, 7497, 267, 513, 2029, 5473, 519, 27327, 540, 2281, 547, 4431, 547, 1769, 269, 12207, 14578, 5795, 1216, 547, 519, 14148, 1247, 513, 4544, 1769, 729, 695, 821, 269, 634, 1904, 4094, 7497, 4480, 9863, 3811, 950, 1310, 1079, 4374, 267, 519, 14148, 4397, 547, 581, 2016, 1216, 8164, 789, 4718, 519, 1482, 1769, 563, 3080, 2101, 3804, 540, 519, 1353, 729, 547, 1265, 2409, 585, 13031, 875, 1114, 5444, 5829, 2175, 666, 1860, 519, 2634, 269, 4475, 267, 538, 513, 1880, 4603, 267, 3173, 5579, 5896, 606, 1418, 1355, 1500, 540, 2281, 689, 513, 3461, 609, 30227, 779, 6794, 267, 513, 1272, 18446, 4719, 2783, 602, 5540, 519, 2295, 269, 634, 30227, 779, 6794, 1418, 1355, 729, 5579, 5896, 593, 835, 2427, 540, 519, 3731, 779, 2634, 267, 543, 513, 6093, 1418, 1355, 729, 5116, 593, 519, 824, 269, 5637, 1418, 6950, 8057, 543, 2919, 4296, 267, 855, 519, 30227, 779, 6794, 2281, 2919, 7466, 607, 1082, 13364, 563, 5278, 13915, 616, 7255, 609, 519, 7881, 540, 713, 1353, 543, 17634, 20747, 2590, 3515, 1063, 2831, 543, 3425, 269, 1717, 267, 3220, 269, 623, 2444, 320, 543, 1010, 2319, 3494, 741, 1382, 786, 948, 3744, 1353, 3270, 538, 14715, 2175, 899, 10295, 267, 20560, 267, 543, 18624, 543, 1449, 519, 3106, 543, 7145, 540, 5626, 6527, 563, 6124, 26831, 281, 4179, 2517, 4178, 269, 18080, 2615, 626, 2593, 270, 14835, 270, 23056, 22659, 279, 25993, 16250, 584, 976, 20675, 680, 5896, 10784, 334, 8584, 8573, 1846, 1532, 1778, 19899, 26475, 268, 1080, 15515, 6409, 21831, 270, 258, 281, 349, 281, 3667, 284, 14549, 260, 736, 928, 584, 976, 260, 736, 10520, 680, 5896, 260, 736, 20041, 260, 736, 320, 260, 736, 7806, 779, 260, 736, 28090, 260, 736, 8882, 26475, 260, 736, 1080, 260, 736, 2041, 6409, 21831, 16427, 12867, 260, 736, 335, 1886, 846, 260, 736, 7474, 261, 3667, 284, 14549, 260, 736, 928, 584, 976, 260, 736, 17647, 260, 736, 2041, 523, 260, 736, 10520, 680, 5896, 267, 1729, 260, 736, 11687, 260, 736, 2908, 260, 736, 17595, 12278, 260, 736, 323, 2607, 338, 563, 3528, 281, 15039, 5576, 14954, 25030, 267, 28133, 15503, 538, 16644, 3971, 267, 19301, 9391, 16588, 0, 3528, 3204, 2088, 19159, 454, 5141, 846, 707, 4064, 269, 3767, 946, 2185, 540, 707, 2947, 12823, 269, 9453, 6679, 707, 4064, 267, 6432, 547, 519, 4992, 540, 5614, 269, 1548, 798, 596, 5873, 286, 19415, 607, 519, 5017, 2206, 269, 18461, 519, 3002, 607, 519, 3141, 31438, 29116, 9944, 519, 2842, 269, 3767, 3914, 856, 609, 707, 3946, 543, 1745, 519, 18282, 602, 616, 1472, 596, 269, 1411, 666, 3592, 6492, 519, 20416, 540, 519, 2371, 543, 5810, 602, 16036, 4478, 707, 3952, 269, 3767, 946, 707, 11359, 2631, 547, 7444, 1930, 707, 4064, 269, 3767, 596, 2219, 596, 941, 3544, 538, 513, 4677, 269, 1548, 798, 596, 1294, 286, 589, 4928, 4904, 609, 2470, 269, 2334, 779, 4010, 1018, 594, 1294, 10611, 454, 763, 9243, 4778, 1118, 585, 513, 10853, 2070, 269, 594, 993, 27153, 538, 519, 5898, 543, 16134, 540, 1272, 269, 898, 3947, 803, 513, 9350, 1145, 899, 1100, 824, 269, 898, 779, 899, 2348, 606, 856, 540, 1560, 1995, 269, 1411, 917, 1141, 596, 616, 282, 596, 2461, 1175, 711, 2386, 707, 2247, 543, 1560, 616, 538, 519, 1482, 1747, 269, 7316, 798, 596, 979, 689, 1934, 286, 2659, 1761, 568, 3970, 1652, 563, 8253, 1152, 798, 649, 11441, 538, 519, 5898, 540, 621, 782, 267, 855, 1453, 798, 849, 256, 634, 2067, 1769, 533, 2314, 519, 1259, 547, 1967, 3564, 3661, 269, 4147, 7741, 602, 1331, 519, 5722, 3741, 540, 1374, 3986, 1453, 779, 1565, 269, 1215, 798, 649, 917, 286, 1284, 946, 519, 681, 5308 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 974, 546, 685, 296, 17383, 790, 15445, 12834, 8791, 476, 272, 269, 21727, 585, 519, 6715, 31772, 540, 519, 12287, 267, 26451, 15213, 689, 281, 513, 269, 1488, 4226, 9009, 3493, 337, 10474, 540, 5020, 543, 4033, 1133, 32016, 610, 7971, 1227, 7763, 17300, 23703, 902, 536, 269, 2598, 1952, 30970, 524, 269, 32202, 675, 543, 4033, 14265, 601, 267, 769, 16058, 267, 610, 26440, 15665, 9615, 610, 15722, 7321, 29277, 543, 5489, 1549, 4741, 17148, 546, 269, 1488, 4226, 9009, 1488, 6135, 610, 5489, 1549, 1488, 6135, 30332, 543, 9615, 540, 5489, 664, 4315, 552, 269, 9324, 658, 540, 12876, 5398, 23632, 23632, 30332, 11572, 29277, 619, 543, 5489, 664, 4315, 7971, 1227, 7763, 17300, 3115, 5142, 531, 1996, 15706, 28210, 31072, 519, 13474, 6406, 7225, 2772, 30332, 543, 3816, 12203, 16296, 10163, 3191, 535, 269, 1488, 4226, 9009, 610, 1133, 32016, 3955, 12401, 609, 21041, 267, 7731, 267, 5851, 267, 610, 4856, 22046, 775, 8791, 476, 273, 269, 21727, 585, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 8950, 1299, 5769, 1315, 6732, 4347, 14212, 543, 3115, 16615, 5004, 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, 769, 513, 1507, 8498, 538, 8050, 267, 972, 5030, 1079, 1655, 2828, 267, 12756, 543, 20844, 269, 1358, 1705, 3388, 1927, 267, 689, 4730, 3756, 547, 4543, 856, 538, 519, 10051, 269, 1717, 267, 1919, 3576, 606, 4277, 2490, 950, 741, 22594, 10272, 689, 8895, 545, 807, 780, 3080, 1554, 267, 1247, 8384, 741, 22594, 3434, 267, 789, 23986, 731, 873, 6031, 267, 834, 3519, 568, 1729, 10141, 6403, 534, 796, 3873, 544, 839, 1314, 324, 6446, 521, 6759, 607, 4779, 345, 553, 632, 828, 6403, 534, 524, 1539, 10722, 541, 267, 1875, 15259, 562, 523, 657, 257, 799, 10199, 18922, 547, 834, 4415, 713, 267, 789, 10299, 513, 5048, 602, 1152, 6690, 1058, 3434, 267, 711, 8695, 1701, 12756, 543, 20844, 941, 7138, 1194, 676, 713, 3948, 780, 300, 7559, 4280, 1200, 20516, 267, 834, 3963, 666, 1405, 20844, 948, 721, 538, 519, 10051, 8119, 4173, 20516, 14452, 267, 834, 11039, 267, 621, 814, 2141, 1044, 513, 2245, 585, 2021, 547, 3434, 269, 898, 781, 1175, 875, 1919, 723, 2141, 1044, 2944, 1701, 1809, 20844, 4769, 1405, 1616, 547, 1394, 1524, 269, 1261, 2219, 621, 729, 15490, 547, 23868, 1864, 1759, 593, 1010, 4008, 269, 1924, 646, 4956, 547, 6961, 602, 5986, 7012, 1405, 12600, 547, 1022, 1880, 4008, 780, 297, 10224, 14059, 1010, 22516, 543, 1767, 267, 834, 296, 1131, 899, 547, 1451, 875, 547, 3434, 1932, 269, 4024, 596, 4001, 803, 8119, 3571, 22516, 20493, 543, 8815, 269, 8625, 267, 789, 3323, 8600, 12899, 585, 519, 1920, 269, 11531, 267, 12756, 5280, 1200, 20516, 27106, 930, 3694, 780, 21158, 14612, 3728, 538, 519, 8498, 827, 519, 8966, 2680, 2921, 1747, 538, 12756, 543, 20844, 781, 2777, 269, 2368, 27142, 7106, 28508, 540, 20844, 1373, 538, 519, 10051, 267, 855, 1866, 4718, 621, 607, 3356, 2509, 7862, 269, 901, 17275, 7391, 1851, 3885, 827, 2757, 5107, 543, 6788, 1369, 10820, 780, 1103, 519, 1439, 267, 3025, 1185, 513, 2295, 344, 7594, 5423, 609, 2648, 676, 782, 2818, 540, 519, 7622, 267, 7488, 540, 4008, 269, 3245, 1287, 27477, 267, 811, 8695, 8678, 3946, 609, 519, 6690, 538, 519, 10051, 1510, 4250, 610, 11688, 2787, 269, 2991, 782, 267, 5986, 3884, 1405, 513, 575, 25311, 2534, 282, 4896, 945, 21593, 3257, 621, 1058, 1745, 20888, 543, 9415, 780, 1607, 10071, 6026, 519, 1453, 543, 4079, 7567, 3407, 4245, 827, 8840, 11475, 267, 5009, 13784, 267, 543, 8508, 1689, 269, 22062, 725, 1472, 12129, 7515, 2968, 21950, 543, 6626, 267, 8720, 3584, 3564, 10346, 543, 5820, 269, 1656, 865, 267, 1272, 4682, 593, 25747, 538, 519, 2370, 5053, 8498, 267, 1141, 1169, 5639, 20974, 1229, 267, 1169, 1688, 8329, 267, 543, 1169, 6676, 6039, 8949, 1426, 1500, 609, 3160, 2694, 5578, 543, 15754, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 2791, 616, 2016, 513, 4845, 538, 8895, 6509, 269, 2659, 2816, 568, 547, 14377, 519, 8895, 6509, 4845, 883, 12355, 780, 3519, 568, 1729, 10141, 6403, 534, 796, 3873, 544, 839, 1314, 324, 6446, 521, 6759, 607, 4779, 345, 553, 632, 828, 6403, 534, 524, 1539, 10722, 541, 267, 1875, 15259, 562, 523, 657, 563, 2414, 14377, 519, 2016, 8895, 6509, 4845, 883, 12355, 267, 594, 786, 1246, 891, 3268, 1384, 3721, 476, 272, 281, 13760, 519, 2495, 540, 519, 4845, 538, 8895, 6509, 454, 3721, 476, 273, 281, 10576, 519, 1883, 1913, 543, 2453, 454, 3721, 476, 274, 281, 3690, 17218, 519, 1883, 1913, 543, 2453, 883, 12355, 454, 3721, 476, 275, 281, 20472, 519, 12355, 4845, 609, 519, 2953, 8239, 454, 3721, 476, 276, 281, 17797, 519, 4845, 547, 3280, 2067, 538, 12355, 692, 3721, 476, 272, 281, 13760, 519, 2495, 540, 519, 4845, 538, 8895, 6509, 454, 763, 4845, 538, 8895, 6509, 3081, 910, 834, 4415, 713, 267, 789, 10299, 513, 5048, 602, 1152, 6690, 1058, 3434, 267, 711, 8695, 3010, 3721, 476, 273, 281, 10576, 519, 1883, 1913, 543, 2453, 454, 7659, 1913, 543, 2453, 538, 519, 4845, 616, 281, 1412, 5976, 713, 3299, 1412, 16269, 10299, 3299, 1412, 332, 20687, 3299, 1412, 21671, 3299, 1412, 326, 597, 3149, 3299, 1412, 29019, 3434, 3299, 1412, 2254, 3299, 1412, 2692, 903, 262, 780, 3721, 476, 274, 281, 3690, 17218, 519, 1883, 1913, 543, 2453, 883, 12355, 454, 5976, 713, 910, 13913, 495, 403, 505, 403, 504, 454, 16269, 10299, 910, 13913, 498, 403, 351, 403, 495, 27783, 357, 25149, 454, 332, 20687, 910, 13913, 508, 403, 350, 29645, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 4414, 7675, 8466, 15881, 2510, 998, 12634, 19565, 11470, 18753, 26358, 281, 29760, 593, 14886, 1222, 12267, 692, 1103, 938, 5051, 10562, 1158, 267, 621, 814, 1831, 811, 2629, 982, 2479, 547, 24244, 3309, 5380, 543, 4161, 2757, 6386, 602, 723, 1279, 1044, 10419, 18050, 676, 13416, 2923, 269, 2290, 971, 1858, 1141, 972, 568, 1713, 4055, 585, 2208, 568, 538, 11174, 5708, 8642, 9089, 267, 3226, 1346, 5059, 593, 11505, 2984, 269, 1635, 6220, 4207, 1568, 602, 4497, 609, 1950, 4798, 899, 1514, 5126, 267, 3961, 267, 543, 6041, 267, 7855, 666, 7668, 1762, 3988, 547, 1589, 9691, 827, 741, 1378, 5107, 1369, 3677, 6848, 3889, 1247, 5807, 6568, 543, 13784, 269, 901, 1576, 1770, 786, 2263, 1585, 3344, 540, 1210, 11174, 5708, 8642, 9089, 547, 948, 1053, 1174, 543, 5660, 519, 2956, 540, 4101, 3964, 8155, 543, 8508, 4244, 16752, 780, 272, 269, 634, 5295, 540, 10439, 27884, 538, 18753, 26358, 692, 20877, 545, 9089, 2709, 2189, 3255, 585, 9423, 1813, 547, 741, 4999, 540, 1257, 543, 11052, 269, 769, 4334, 547, 2757, 18340, 267, 799, 5097, 12346, 593, 2854, 1893, 267, 8642, 9089, 8415, 1312, 1913, 543, 5961, 547, 6655, 2495, 267, 2870, 606, 15138, 1995, 602, 22587, 547, 2789, 12823, 8195, 630, 289, 6308, 267, 476, 1220, 280, 1040, 1280, 1082, 1053, 267, 2523, 3308, 6267, 267, 8642, 9089, 1683, 606, 3015, 24891, 883, 3332, 543, 2565, 3206, 1983, 1646, 269, 5047, 267, 1317, 789, 1419, 4308, 609, 2597, 344, 3584, 4843, 538, 7558, 1043, 12043, 267, 8642, 9089, 5512, 1762, 3988, 547, 20920, 609, 1950, 2093, 1510, 4743, 16397, 780, 273, 269, 5668, 27701, 12465, 15881, 2510, 998, 667, 5744, 23830, 692, 2690, 1932, 1279, 267, 13416, 1453, 781, 3332, 814, 15866, 12286, 3043, 23233, 267, 17923, 5739, 11475, 543, 8589, 1944, 26173, 2950, 630, 299, 2465, 1299, 8899, 7734, 267, 476, 1001, 276, 1040, 1717, 267, 4207, 11174, 5708, 8642, 3209, 4589, 899, 966, 5028, 645, 4592, 326, 565, 630, 32306, 2725, 1325, 821, 14386, 543, 14175, 320, 20052, 613, 1889, 1512, 630, 10712, 850, 264, 723, 13175, 13346, 713, 17565, 676, 10023, 3197, 689, 1114, 7292, 267, 6803, 267, 543, 14227, 10080, 269, 1635, 3246, 19141, 585, 13840, 15763, 2516, 267, 891, 5931, 19472, 543, 8661, 4763, 267, 8716, 1762, 3988, 547, 9784, 741, 9163, 543, 5431, 1455, 8017, 2066, 9228, 3604, 780, 274, 269, 1234, 19960, 1456, 2876, 1559, 543, 18601, 4317, 12983, 3414, 14886, 1222, 12267, 692, 293, 12188, 4721, 1106, 513, 4295, 2460, 540, 1480, 3347, 267, 1818, 873, 4998, 5396, 585, 3695, 6626, 1914, 19205, 2152, 1369, 2085, 29003, 8658, 269, 10765, 8642, 9089, 899, 4728, 3883, 8422, 676, 3627, 11066, 267, 12448, 589, 11770, 514, 267, 543, 715, 622, 18120, 749, 282, 1715, 17718, 676, 32515, 14958, 282, 543, 853, 1173, 5074, 676, 23514, 15651, 10994, 10296, 4145, 971, 607, 10168, 267, 1362, 1143, 267, 543, 2111, 1143, 998, 1093, 17257, 26007, 540, 3444, 14426, 17052, 269, 1452, 6386, 20838, 519, 1761, 585, 17604, 1851, 19635, 2043, 267, 20515, 875, 3838, 2833, 16637, 21603, 21441, 543, 6536, 4514, 4296, 1759, 593, 8994, 2463, 543, 1620, 780, 275, 269, 7600, 1172, 532, 3590, 545, 21153, 885, 543, 18964, 31197, 692, 19741, 8806, 9306, 3309, 11269, 267, 2413, 11174, 5708, 12066, 956, 609, 11528, 31716, 11251, 1369, 5238, 543, 2686, 2853, 269, 3718, 899, 634, 9315, 4580, 8003, 676, 932, 611, 590, 749, 543, 17029, 2401, 21756, 676, 15117, 11918, 625, 517, 16472, 575, 25311, 6788, 543, 3895, 8116, 267, 11744, 602, 3025, 1765, 2958, 14177, 540, 4008, 267, 5198, 267, 610, 2702, 1765, 13757, 7915, 4502, 543, 7207, 964, 6326, 6284, 269, 5015, 267, 891, 5931, 5000, 14223, 676, 11121, 1762, 3988, 547, 2243, 6392, 5515, 543, 12167, 585, 2933, 543, 1866, 950, 5185, 609, 24407, 6381, 780, 276, 269, 4980, 22899, 27919, 543, 32213, 9650, 338, 1115, 692, 22818, 1034, 11932, 267, 4207, 11174, 5708, 8642, 9089, 11349, 6568, 543, 8537, 8186, 1115, 676, 18136, 3988, 547, 1900, 883, 519, 10887, 540, 3197, 4171, 5030, 2833, 949, 8428, 3648, 689, 741, 1378, 269, 1306, 1382, 5267, 267, 4598, 547, 3309, 5339, 10600, 10597, 1053, 262, 4390, 585, 5133, 23824, 543, 6971, 14882, 630, 298, 1342, 1299, 10011, 8457, 267, 476, 1001, 274, 1040, 9182, 267, 10128, 8642, 9089, 602, 32215, 15491, 17052, 2636, 7855, 547, 1711, 2922, 5624, 585, 6209, 5188, 4478, 3017, 543, 9322, 267, 6038, 14637, 17519, 2518, 4961, 780, 1103, 3932, 267, 19713, 519, 1379, 540, 4207, 11174, 5708, 8642, 9089, 6087, 7855, 547, 16491, 1053, 609, 1898, 2645, 585, 10188, 606, 5051, 1950, 543, 10562, 1158, 269, 1635, 6313, 10643, 602, 2232, 3140, 6386, 267, 6041, 267, 1514, 2152, 267, 543, 14223, 998, 11505, 2984, 267, 16929, 666, 7520, 13857, 5717, 10704, 593, 2565, 9637, 543, 28450, 6278, 269, 30855, 2200, 899, 3220, 269, 8861, 10906, 11066, 262, 960, 593, 3308, 2148, 9313, 543, 2686, 16169, 5849, 602, 1053, 10836, 689, 891, 3872, 13341, 711, 1152, 1134, 268, 951, 539, 538, 4143, 7811, 10850, 855, 849, 6273, 547, 4019, 741, 1702, 2509, 24905, 1782, 26568, 1949, 543, 10575, 14823, 12790, 9739, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 295, 23354, 13462, 596, 609, 1004, 945, 616, 8362, 7722, 538, 4657, 519, 1158, 269, 1452, 4195, 9739, 1039, 1007, 5133, 543, 5813, 547, 2221, 781, 1034, 1271, 7391, 563, 24876, 721, 513, 1289, 547, 10004, 827, 891, 670, 23354, 1715, 4325, 5474, 585, 513, 12905, 267, 18388, 2914, 20564, 267, 2786, 1922, 668, 7308, 268, 3650, 6050, 2680, 563, 290, 17920, 9215, 5442, 12702, 296, 3918, 454, 30631, 11773, 9452, 281, 3220, 269, 8861, 10906, 11066, 20205, 606, 2502, 1883, 16694, 543, 1627, 26031, 693, 519, 18582, 2125, 7467, 454, 9209, 14787, 543, 1655, 18522, 2278, 590, 2752, 288, 295, 20700, 22003, 5723, 24518, 700, 11246, 3041, 24084, 2989, 9458, 693, 519, 18582, 2125, 7467, 540, 3203, 31692, 1639, 17976, 10022, 609, 513, 15826, 267, 2502, 1883, 16694, 18631, 513, 15645, 730, 1627, 26031, 269, 3220, 269, 11066, 21378, 1200, 8325, 2079, 547, 556, 1410, 600, 1456, 543, 2699, 7675, 3140, 6386, 540, 10344, 267, 5198, 267, 543, 5126, 269, 4911, 11253, 27963, 267, 10324, 8689, 540, 519, 18582, 15816, 7467, 540, 3203, 1433, 539, 3220, 269, 11066, 585, 513, 968, 4818, 2454, 2911, 593, 875, 3308, 1148, 543, 2528, 616, 11358, 547, 2679, 9698, 538, 1977, 2486, 2507, 649, 4126, 713, 4901, 3376, 839, 519, 11407, 1472, 519, 3140, 4644, 540, 1977, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 22383, 1299, 18753, 26358, 1315, 4937, 1315, 14886, 1222, 12267, 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, 476, 272, 281, 4985, 547, 28527, 6361, 5025, 613, 15552, 1143, 538, 19565, 11470, 692, 8702, 267, 12703, 7045, 3464, 267, 547, 938, 3408, 540, 4947, 6361, 21943, 5869, 1143, 538, 11174, 5708, 256, 1306, 596, 3460, 998, 713, 3184, 267, 649, 3513, 10625, 1018, 2306, 513, 1915, 1332, 883, 513, 3020, 5869, 543, 875, 741, 2833, 666, 8300, 721, 538, 1483, 1272, 269, 1284, 786, 1445, 4481, 593, 2984, 1336, 1369, 13371, 2835, 543, 8642, 9089, 10023, 27568, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 786, 1174, 1946, 891, 2984, 3180, 971, 3532, 4245, 602, 13469, 609, 3988, 540, 782, 6502, 780, 8893, 476, 272, 269, 272, 281, 1548, 6496, 898, 6399, 1677, 2142, 589, 15552, 2496, 6524, 11362, 883, 1808, 1806, 267, 1577, 781, 5581, 1018, 1373, 513, 5869, 1797, 269, 4340, 547, 8585, 26713, 28732, 8675, 267, 513, 5869, 568, 834, 320, 1268, 945, 568, 25343, 585, 1390, 610, 12703, 6411, 610, 5386, 7907, 1701, 1809, 972, 781, 811, 547, 12325, 982, 1175, 22838, 1107, 789, 1419, 4865, 2178, 26069, 267, 6043, 267, 4987, 267, 8296, 267, 543, 8990, 269, 1452, 4162, 948, 873, 7753, 2591, 543, 14488, 1247, 11121, 1866, 2059, 519, 1259, 780, 12244, 281, 6056, 827, 707, 5172, 14070, 3197, 630, 2254, 3908, 547, 14676, 264, 543, 1592, 1614, 7592, 602, 1118, 873, 24123, 269, 9523, 707, 4555, 609, 513, 7649, 610, 1895, 1354, 7234, 1927, 607, 513, 1362, 780, 8893, 476, 272, 269, 273, 281, 853, 1137, 2986, 12618, 910, 634, 17714, 27870, 15552, 1143, 692, 1103, 1082, 2984, 267, 1519, 1346, 1336, 538, 14676, 543, 8642, 9089, 267, 12325, 11457, 936, 942, 1813, 547, 1585, 8062, 543, 5513, 2827, 5185, 1282, 741, 9035, 269, 10705, 5219, 547, 607, 513, 834, 5765, 6361, 21943, 2437, 713, 7004, 3322, 2123, 2208, 838, 13899, 676, 9465, 11402, 2429, 741, 2729, 269, 2913, 781, 1413, 693, 930, 1455, 5933, 538, 513, 1915, 781, 1646, 2509, 4742, 513, 2407, 1922, 1194, 3022, 5869, 1384, 272, 269, 20570, 281, 634, 16502, 16137, 827, 741, 2189, 5759, 610, 6381, 602, 1305, 873, 6306, 689, 1866, 563, 453, 265, 7151, 281, 4223, 843, 320, 267, 513, 1762, 8004, 609, 9058, 2790, 7060, 267, 25395, 1200, 2702, 547, 1847, 3615, 1210, 1152, 1200, 2247, 563, 273, 269, 26647, 24327, 281, 3776, 5869, 8188, 3355, 7965, 16561, 543, 9013, 741, 16012, 1983, 610, 3510, 563, 453, 265, 7151, 281, 8834, 26436, 9620, 547, 3666, 1010, 4948, 1272, 609, 1010, 9021, 607, 30064, 5336, 534, 1310, 11543, 1010, 6909, 27442, 1013, 573, 5759, 563, 274, 269, 26306, 281, 3414, 16177, 543, 1582, 22523, 267, 519, 1915, 5088, 806, 741, 1909, 543, 3587, 23518, 547, 946, 741, 13344, 585, 1434, 563, 453, 265, 7151, 281, 18412, 13573, 24693, 1010, 918, 7973, 20897, 6561, 543, 21810, 883, 8111, 2006, 267, 6131, 547, 7863, 8103, 689, 2800, 563, 275, 269, 22895, 11208, 281, 13966, 519, 1259, 267, 12325, 1419, 7237, 8797, 5515, 945, 3391, 873, 593, 741, 2619, 4724, 17117, 543, 15657, 563, 453, 265, 7151, 281, 15506, 2006, 5713, 607, 513, 21927, 547, 28120, 267, 3450, 1864, 519, 2081, 540, 6760, 8165, 543, 5356, 5583, 593, 5539, 543, 9015, 563, 276, 269, 570, 8922, 874, 281, 2991, 20408, 3875, 2591, 267, 519, 5869, 19674, 4619, 16124, 267, 11744, 7326, 6591, 998, 1995, 543, 4259, 606, 1383, 585, 1866, 547, 1246, 563, 453, 265, 7151, 281, 24090, 19716, 5012, 519, 10456, 13477, 1996, 14730, 572, 573, 267, 15386, 5718, 543, 10100, 896, 2604, 780, 8893, 476, 272, 269, 274, 281, 10289, 10162, 12245, 667, 22844, 781, 2622, 540, 15552, 1143, 692, 12041, 10162, 12245, 667, 22844, 2813, 1896, 11599, 3197, 602, 18220, 1114, 3344, 540, 4947, 6361, 21943, 5869, 1143, 269, 9282, 5097, 1634, 585, 1010, 627, 15501, 673, 1453, 781, 3332, 267, 667, 22844, 781, 1568, 4749, 2263, 4798, 4143, 547, 3395, 909, 543, 4466, 835, 781, 1747, 538, 519, 1158, 269, 16992, 899, 4223, 843, 320, 267, 6276, 689, 6276, 543, 519, 27951, 3212, 778, 267, 543, 20153, 773, 689, 634, 645, 293, 294, 4159, 7415, 4222, 5103, 6849, 9583, 31837, 25236, 762, 12918, 780, 12244, 281, 7994, 835, 540, 667, 22844, 781, 3197, 5018, 1657, 543, 1711, 513, 3308, 6041, 540, 741, 3460, 998, 519, 2947, 5933, 540, 2208, 5941, 4505, 269, 1411, 949, 946, 1022, 5420, 596, 4782, 267, 971, 607, 5373, 267, 7206, 267, 2458, 1645, 267, 610, 1256, 2870, 513, 3059, 6881, 780, 6962, 1384, 9961, 713, 3184, 267, 649, 4312, 4362, 1018, 2306, 513, 5869, 5963, 11108, 543, 8268, 519, 1523, 540, 4947, 6361, 21943, 5869, 1143, 1369, 11174, 5708, 267, 3226, 538, 14676, 543, 8642, 9089, 269, 4197, 891, 2609, 2636, 721, 547, 5660, 519, 3178, 543, 6988, 3297, 938, 11537, 3197, 543, 5431, 519, 3407, 4245, 789, 18836, 3823, 10100, 267, 6043, 267, 543, 1582, 22523, 269, 5901, 891, 4030, 2673, 607, 649, 14679, 2417, 883, 519, 13858, 7706, 540, 15705, 2984, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 31995, 909, 835, 540, 1250, 9998, 8823, 568, 1250, 544, 636, 512, 31902, 803, 909, 538, 5127, 693, 3781, 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 ]
[ 721, 3277, 762, 30289, 30289, 3107, 865, 1922, 541, 865, 828, 1145, 543, 2495, 16531, 267, 570, 13083, 1329, 267, 1498, 634, 7083, 540, 519, 681, 902, 267, 19595, 721, 602, 267, 1100, 267, 713, 568, 3277, 762, 30289, 30289, 30289, 519, 1843, 269, 16700, 325, 28232, 543, 14827, 543, 8373, 798, 3277, 762, 30289, 30289, 30289, 4865, 519, 10700, 973, 924, 269, 1703, 568, 25613, 22866, 945, 6585, 519, 3435, 547, 2783, 543, 14827, 945, 568, 993, 4192, 5991, 25733, 2389, 11391, 1229, 2389, 11391, 1229, 543, 3169, 543, 1876, 995, 543, 1010, 12400, 2121, 1716, 958, 979, 13383, 269, 769, 713, 9588, 649, 13141, 710, 20735, 933, 637, 540, 3627, 476, 272, 281, 276, 267, 968, 763, 521, 338, 2775, 31438, 538, 519, 14486, 267, 543, 519, 14486, 814, 3277, 762, 30289, 30289, 30289, 1016, 16746, 621, 1848, 1306, 589, 4048, 1941, 6645, 21220, 523, 593, 1010, 14827, 5127, 912, 1103, 8373, 649, 1590, 979, 267, 865, 1922, 541, 3277, 762, 30289, 30289, 30289, 538, 25861, 269, 2142, 3835, 256, 1284, 616, 3277, 762, 30289, 30289, 30289, 18178, 733, 14337, 27238, 547, 519, 10580, 540, 519, 26355, 268, 15161, 267, 543, 2417, 873, 568, 2417, 982, 1121, 27320, 563, 4517, 952, 621, 29377, 513, 4686, 8570, 23605, 267, 1714, 1407, 267, 546, 8705, 1407, 267, 543, 1852, 326, 13516, 15438, 547, 7618, 721, 540, 971, 32741, 267, 1134, 15515, 6409, 539, 15515, 6409, 539, 602, 779, 513, 973, 1388, 2557, 12423, 267, 1810, 1406, 596, 31739, 286, 0, 2171, 1867, 519, 6602, 540, 513, 476, 278, 269, 274, 631, 808, 608, 26979, 564, 654, 3008, 303, 268, 1691, 321, 267, 835, 540, 519, 1034, 7372, 1098, 1746, 608, 26979, 1115, 4767, 547, 4266, 269, 634, 4541, 25057, 519, 476, 1015, 628, 2173, 1725, 3363, 674, 276, 309, 5182, 2475, 17472, 5174, 272, 476, 9340, 1240, 268, 271, 2918, 27886, 276, 609, 513, 1974, 540, 476, 273, 269, 25838, 476, 4037, 273, 546, 543, 20771, 26137, 640, 552, 815, 476, 271, 269, 6021, 269, 589, 21800, 3514, 540, 519, 18302, 1769, 7455, 543, 24293, 6991, 7403, 11729, 513, 19236, 2527, 540, 476, 278, 269, 274, 13008, 476, 271, 269, 276, 631, 808, 543, 513, 8953, 540, 476, 272, 269, 2764, 13008, 476, 271, 269, 5400, 681, 808, 269, 901, 5012, 547, 513, 1611, 5860, 540, 827, 476, 275, 269, 277, 575, 4699, 910, 274, 1818, 621, 519, 16437, 652, 1098, 1746, 608, 26979, 1115, 2943, 1336, 693, 606, 20771, 1974, 1447, 982, 476, 274, 546, 269, 1284, 7447, 713, 1062, 547, 581, 693, 513, 3845, 540, 476, 8182, 13008, 476, 736, 26099, 269, 15190, 1537, 2079, 540, 519, 3984, 5182, 8761, 513, 2837, 540, 476, 5038, 278, 276, 13008, 476, 1911, 918, 267, 2845, 575, 815, 476, 275, 269, 5881, 4699, 521, 910, 273, 543, 642, 5609, 1775, 815, 476, 275, 269, 280, 13008, 476, 272, 269, 271, 5998, 521, 910, 272, 267, 543, 849, 513, 1164, 16864, 11606, 267, 2845, 715, 27331, 328, 264, 815, 476, 273, 269, 10019, 13008, 476, 271, 269, 4962, 269, 634, 24974, 5860, 267, 2500, 2837, 543, 10047, 2557, 2303, 606, 2085, 585, 519, 1062, 540, 827, 476, 271, 269, 276, 268, 272, 269, 271, 717, 10455, 563, 268, 25578, 281, 1367, 281, 717, 17092, 476, 26522, 11025, 268, 25484, 11025, 454, 268, 9828, 281, 2584, 6248, 454, 268, 9828, 281, 24293, 29702, 454, 3008, 297, 290, 2480, 22455, 1641, 2127, 454, 268, 6611, 543, 4643, 8767, 3163, 454, 268, 18395, 543, 8330, 5268, 12695, 0, 27832, 976, 585, 713, 3044, 454, 4910, 1545, 3112, 581, 13988, 547, 713, 3044, 267, 19584, 1016, 268, 1056, 1841, 547, 1265, 4245, 563, 5415, 1808, 1016, 268, 1056, 1841, 454, 763, 2875, 786, 5635, 14778, 540, 1079, 610, 811, 796, 21725, 1239, 5036, 267, 6746, 1227, 543, 3113, 1227, 267, 7421, 4099, 543, 3262, 630, 5976, 514, 1895, 543, 1063, 1895, 7648, 1070, 13421, 543, 10616, 267, 5546, 267, 856, 11502, 267, 610, 824, 8966, 2934, 563, 763, 2875, 786, 5659, 14649, 30831, 547, 2697, 543, 4766, 519, 2078, 1063, 1079, 4632, 267, 1210, 3337, 282, 4222, 540, 2078, 282, 13421, 282, 2318, 267, 2942, 267, 610, 1100, 7681, 282, 856, 11502, 282, 543, 9565, 2798, 563, 763, 2875, 786, 3313, 543, 4612, 5276, 9756, 267, 946, 519, 1505, 540, 2547, 10945, 9695, 547, 2203, 519, 5276, 2078, 1063, 1079, 4632, 267, 543, 946, 519, 15895, 13602, 547, 2708, 5276, 640, 563, 763, 2875, 786, 1118, 32568, 543, 1379, 14759, 547, 3035, 5276, 640, 563, 763, 2875, 786, 5659, 21370, 10525, 540, 796, 21725, 1239, 267, 1519, 12297, 30831, 267, 588, 6374, 1824, 267, 4216, 30831, 267, 19469, 4908, 11708, 267, 543, 1277, 9999, 267, 547, 2697, 543, 4766, 3270, 543, 8977, 999, 689, 3270, 267, 1210, 3844, 12402, 267, 3262, 267, 13421, 267, 10616, 267, 543, 856, 11502, 269, 0, 1103, 2565, 5188, 609, 4207, 1514, 3069, 267, 22513, 18372, 20840, 559, 12116, 1883, 14759, 538, 27816, 781, 1135, 640, 267, 2528, 267, 543, 4346, 267, 973, 8463, 6436, 540, 1646, 543, 10223, 519, 10083, 540, 891, 3157, 585, 824, 2022, 24645, 6082, 269, 634, 1267, 568, 513, 12905, 543, 8903, 3140, 17801, 2762, 540, 2797, 1379, 693, 519, 5969, 6316, 540, 15834, 18759, 593, 29678, 543, 519, 1533, 563, 14367, 12225, 1834, 540, 602, 3643, 4564, 513, 9488, 543, 17715, 2272, 540, 519, 25386, 4276, 1063, 7111, 4892, 543, 519, 2067, 1158, 269, 1261, 6799, 891, 19158, 777, 2444, 534, 5784, 540, 519, 2244, 1765, 1440, 4532, 760, 958, 540, 922, 2831, 543, 918, 1195, 4157, 517, 3347, 609, 1346, 7068, 1765, 339, 6320, 609, 513, 6027, 2272, 540, 1010, 1378, 2833, 543, 22027, 563, 2690, 2576, 538, 3406, 540, 513, 5065, 1977, 4082, 540, 1412, 1815, 1108, 262, 543, 2067, 1686, 267, 594, 666, 1589, 540, 1100, 1732, 1747, 547, 2253, 982, 609, 713, 960, 269, 1261, 814, 1928, 560, 1136, 569, 9833, 741, 5784, 540, 3618, 267, 6607, 267, 1216, 267, 11864, 543, 1169, 1212, 9429, 3364, 602, 28869, 996, 2390, 519, 3618, 563, 3891, 1281, 23507, 741, 2648, 540, 2470, 543, 6891, 269, 8409, 945, 1294, 519, 1158, 998, 1010, 4064, 1210, 741, 4064, 786, 2693, 2097, 2476, 609, 1007, 2463, 585, 519, 16004, 531, 4104, 543, 1346, 945, 2661, 609, 621, 543, 538, 621, 267, 711, 1996, 621, 269, 20307, 781, 6881, 849, 3947, 3638, 4030, 883, 519, 918, 1195, 4157, 517, 7449, 14571, 4783, 998, 519, 1032, 543, 883, 519, 23434, 540, 1272, 538, 713, 7187, 3148, 563, 5591, 6075, 8039, 454, 763, 1433, 568, 2854, 609, 1312, 2634, 543, 2295, 269, 901, 1433, 4564, 513, 19506, 281, 2760, 1354, 814, 519, 5610, 540, 1977, 12075, 609, 741, 1604, 1044, 865, 1134, 25250, 856, 269, 4826, 568, 513, 3090, 540, 1272, 267, 7326, 267, 12680, 267, 19454, 267, 543, 2669, 269, 4826, 849, 2771, 1622, 543, 16138, 8460, 267, 11125, 919, 938, 7031, 267, 8952, 721, 2973, 543, 2635, 267, 543, 8309, 547, 938, 1648, 2115, 269, 1809, 513, 8833, 814, 1044, 2322, 593, 938, 1216, 2200, 607, 2799, 1648, 7569, 9192, 609, 519, 2360, 540, 2916, 1689, 547, 1711, 513, 30217, 748, 1604, 563, 31714, 543, 2950, 1472, 519, 8608, 5051, 3068, 26221, 267, 17160, 267, 1216, 5533, 267, 1216, 20317, 267, 543, 1256, 1216, 10617, 269, 1284, 4043, 547, 2232, 543, 4194, 891, 4145, 998, 3621, 543, 6639, 10124, 267, 855, 1514, 543, 2686, 9382, 543, 3435, 616, 2877, 607, 1134, 269, 769, 713, 12995, 4015, 267, 20334, 10994, 1699, 1216, 2152, 538, 519, 5736, 540, 2916, 1689, 1210, 513, 2647, 3099, 540, 2487, 3332, 543, 4670, 563, 4263, 922, 4295, 267, 713, 4015, 9727, 602, 1216, 568, 606, 10373, 13111, 540, 7499, 1761, 543, 606, 8665, 540, 3140, 543, 2686, 5385, 269, 12861, 5432, 543, 11541, 8658, 585, 1216, 21140, 267, 4589, 543, 19971, 540, 4207, 5339, 5931, 543, 8874, 1459, 8903, 2984, 540, 938, 3347, 547, 1216, 267, 1216, 1072, 267, 8134, 267, 543, 5726, 269, 1358, 849, 2263, 875, 2518, 1216, 2042, 1860, 2199, 2950, 1472, 519, 1158, 543, 12969, 609, 1514, 543, 2686, 3344, 971, 607, 1072, 267, 15114, 267, 1362, 267, 4008, 267, 5198, 267, 543, 14940, 563, 1607, 13710, 960, 8711, 519, 2686, 4644, 540, 1216, 9789, 2707, 540, 1272, 543, 513, 3532, 3090, 538, 3875, 4529, 269, 898, 849, 12651, 4656, 827, 2518, 1216, 9840, 543, 16839, 269, 6333, 606, 8900, 11480, 610, 666, 267, 835, 540, 519, 7366, 540, 17542, 540, 20892, 11149, 602, 616, 23987, 5001, 1169, 1032, 269, 2506, 27679, 11149, 723, 1044, 693, 519, 4099, 540, 7920, 2797, 27900, 267, 6639, 5647, 3157, 267, 543, 519, 2413, 2825, 3350, 269, 10435, 513, 5682, 10724, 12116, 519, 1646, 540, 519, 32090, 20892, 8708, 16005, 18022, 1495, 1062, 267, 799, 814, 519, 5207, 2132, 3928, 538, 519, 1158, 267, 689, 547, 1459, 563, 14367, 13354, 5943, 12125, 519, 1950, 3060, 540, 1870, 543, 2797, 11051, 3238, 538, 519, 1646, 540, 519, 9258, 642, 2056, 3684, 681, 30470, 543, 11480, 16005, 9086, 547, 1732, 1174, 519, 1114, 3140, 24551, 8900, 20892, 11149, 723, 3144, 2066, 6990, 267, 1519, 519, 772, 269, 634, 681, 30470, 814, 6039, 607, 811, 982, 513, 8559, 538, 519, 3774, 734, 527, 3459, 3274, 607, 513, 1907, 585, 9240, 6203, 945, 1185, 547, 6023, 8900, 1201, 650, 762, 4837, 14569, 267, 855, 814, 1831, 513, 3039, 3684, 547, 28099, 655, 519, 8900, 20892, 8708, 267, 4543, 1312, 1870, 543, 6800, 7119, 538, 2825, 3527, 563, 301, 528, 1705, 1352, 2285, 1454, 2219, 547, 519, 1004, 945, 1131, 1831, 1200, 12543, 269, 1306, 621, 5828, 856, 267, 1200, 1272, 593, 713, 4683, 2914, 843, 1633, 20281, 729, 1360, 1114, 689, 1018, 1352, 1185, 9709, 269, 3371, 267, 513, 5251, 540, 4686, 5898, 10703, 1023, 17027, 543, 20296, 30217, 344, 267, 543, 1480, 4527, 1439, 13377, 513, 3638, 855, 17866, 5117, 269, 5689, 756, 340, 4144, 776, 10905, 2825, 1686, 267, 2123, 17728, 267, 543, 513, 9066, 593, 519, 7294, 3347, 1063, 3425, 543, 519, 8916, 789, 6861, 269, 898, 568, 849, 519, 1650, 540, 513, 10477, 2146, 267, 540, 875, 1689, 814, 5949, 11652, 1946, 11652, 1018, 621, 814, 5921, 563, 2690, 1082, 2825, 1235, 267, 5883, 2551, 2208, 2968, 519, 1883, 547, 30196, 519, 1034, 703, 847, 762, 2042, 6849, 4892, 1310, 2622, 2782, 4083, 1765, 22336, 2251, 689, 2112, 543, 519, 3262, 540, 25399, 18246, 547, 6710, 267, 5198, 27632, 1824, 267, 543, 28180, 30832, 331, 693, 1753, 269, 26495, 6501, 2598, 11825, 531, 18963, 12116, 519, 2081, 602, 1514, 2497, 5540, 2551, 11976, 543, 267, 538, 2490, 267, 3928, 540, 4720, 267, 538, 27899, 2516, 269, 898, 6770, 1927, 2361, 1740, 538, 3662, 2623, 543, 7320, 7350, 609, 7811, 960, 538, 1629, 2762, 543, 2551, 11976, 269, 634, 1445, 1934, 568, 29371, 1765, 31347, 267, 875, 267, 543, 950, 2043, 4734, 519, 2127, 1141, 789, 616, 4535, 563, 31628, 3749, 960, 538, 2551, 11976, 6920, 602, 971, 1514, 2188, 607, 7729, 14954, 3023, 12753, 267, 25516, 20282, 3270, 267, 543, 16607, 2085, 540, 1101, 12093, 786, 2539, 519, 10285, 13260, 540, 513, 2551, 676, 4227, 519, 1297, 540, 1024, 8040, 5293, 689, 835, 5108, 547, 519, 1985, 269, 12197, 2090, 723, 3254, 602, 1082, 27899, 2249, 798, 8858, 1082, 971, 1514, 4162, 269, 7324, 9640, 267, 17707, 20910, 267, 543, 513, 1297, 540, 28516, 267, 519, 5354, 540, 8951, 616, 538, 20759, 730, 676, 1152, 513, 6824, 540, 519, 9038, 563, 1103, 533, 9711, 540, 20384, 543, 544, 784, 334, 4680, 267, 2356, 1152, 519, 5207, 8573, 21403, 5256, 543, 4775, 9742, 538, 513, 2016, 4005, 269, 4014, 13998, 11658, 20282, 11148, 547, 2539, 4719, 13260, 538, 9678, 5095, 267, 621, 2965, 11148, 547, 2333, 4719, 13260, 538, 1016, 323, 22866, 5095, 609, 1970, 3928, 540, 9194, 1063, 1016, 28493, 269, 7324, 930, 2249, 972, 568, 2370, 29371, 543, 3976, 2370, 5444, 2095, 1063, 1016, 16647, 2827, 282, 824, 2249, 2951, 2484, 7192, 1752, 1354, 20282, 269, 634, 20334, 547, 713, 4320, 4983, 4890, 1239, 689, 5095, 540, 11864, 267, 519, 1259, 3270, 540, 29371, 30136, 609, 519, 4719, 2497, 540, 2043, 543, 5095, 267, 543, 6310, 3631, 540, 2551, 2497, 563, 1607, 15834, 1935, 814, 606, 1271, 12946, 593, 960, 538, 5726, 540, 1312, 7320, 543, 23291, 5095, 267, 585, 621, 2982, 602, 519, 1753, 2039, 543, 519, 2551, 2450 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15472, 19194, 267, 3459, 3450, 519, 7544, 269, 2701, 849, 5950, 519, 1101, 14292, 3381, 593, 15393, 15472, 602, 5795, 12209, 547, 713, 7613, 267, 799, 1287, 3262, 2429, 519, 3013, 267, 5177, 267, 5245, 267, 19934, 267, 14135, 267, 6576, 267, 13814, 267, 6215, 8576, 807, 267, 23886, 807, 267, 12996, 543, 519, 9962, 1158, 563, 289, 5979, 4040, 1459, 2053, 1107, 689, 590, 16748, 2509, 519, 21396, 454, 9213, 267, 15393, 15472, 814, 7960, 607, 513, 4999, 540, 7328, 267, 7544, 543, 1148, 269, 1656, 2687, 547, 17888, 2609, 267, 596, 1205, 519, 1808, 15393, 7544, 8390, 269, 8786, 267, 4720, 4547, 827, 3356, 602, 568, 10630, 538, 519, 16082, 602, 5581, 519, 15393, 15472, 4480, 269, 1284, 616, 1256, 12777, 10203, 519, 2395, 950, 519, 23242, 4528, 540, 15393, 7544, 786, 1831, 6444, 607, 606, 21396, 7328, 269, 24504, 7544, 1256, 5734, 519, 3942, 538, 476, 1220, 271, 267, 950, 2701, 10042, 22398, 2917, 8118, 519, 590, 16748, 538, 11968, 13353, 269, 1656, 476, 274, 1296, 2663, 267, 14956, 19207, 654, 8882, 9445, 18799, 2701, 10042, 593, 1200, 1397, 543, 519, 1158, 729, 5189, 547, 24504, 24524, 563, 3086, 596, 917, 1107, 1135, 539, 3496, 568, 513, 15472, 9015, 609, 606, 3078, 543, 1279, 1686, 563, 763, 9620, 540, 8126, 334, 543, 29478, 1354, 11543, 10343, 454, 3719, 15393, 15472, 3884, 1406, 519, 1152, 7544, 799, 4810, 15784, 267, 30891, 267, 967, 793, 566, 267, 9880, 610, 24890, 269, 2353, 3029, 540, 7544, 8661, 519, 1560, 538, 930, 1259, 543, 949, 1831, 519, 3077, 540, 14882, 269, 594, 914, 596, 4769, 1406, 917, 602, 1256, 8126, 334, 12090, 538, 519, 2156, 1492, 3149, 540, 3504, 18335, 543, 865, 621, 3576, 513, 1247, 585, 713, 7544, 547, 1205, 7759, 540, 922, 3095, 547, 2156, 1492, 3149, 543, 1831, 15197, 11065, 531, 2280, 849, 3357, 896, 2673, 22987, 1282, 922, 1646, 543, 729, 711, 2808, 607, 15061, 607, 621, 2663, 2968, 563, 3383, 2463, 519, 5072, 543, 1246, 707, 5075, 563, 3086, 2671, 609, 721, 707, 1686, 543, 5072, 540, 3478, 547, 917, 15393, 7544, 543, 3565, 547, 713, 12703, 543, 13730, 2146, 1107, 875, 1705, 621, 782, 1376, 585, 596, 286, 1692, 1705, 596, 1831, 513, 15393, 15854, 1356, 18025, 565, 539, 22083, 6390, 888, 6701, 596, 4712, 547, 6443, 5215, 543, 5215, 2717, 539, 22083, 330, 553, 782, 936, 519, 1158, 286, 3399, 1934, 543, 1631, 543, 1205, 9280, 269, 0, 7072, 547, 4563, 670, 1961, 15328, 17443, 454, 7069, 3122, 1190, 267, 24245, 267, 543, 10578, 281, 1614, 1913, 602, 17501, 569, 4766, 519, 1523, 540, 3109, 8559, 14421, 1108, 269, 1306, 649, 29906, 519, 5318, 26355, 267, 972, 779, 15991, 606, 11769, 602, 31168, 607, 1454, 7279, 607, 519, 21792, 3109, 8559, 269, 901, 4241, 17565, 540, 17184, 23289, 543, 519, 7184, 1266, 11712, 4644, 538, 938, 1620, 540, 519, 7122, 1917, 585, 3102, 11840, 566, 538, 519, 7706, 540, 28936, 12695, 267, 14421, 1108, 267, 543, 24666, 2090, 563, 4462, 30584, 532, 519, 2037, 7950, 540, 4563, 670, 3421, 454, 5327, 322, 2056, 883, 519, 1353, 540, 3109, 9475, 267, 649, 1847, 3564, 519, 2757, 26355, 3408, 12106, 269, 4563, 9475, 5749, 1406, 1175, 897, 1601, 531, 2230, 7477, 340, 4548, 647, 9535, 17184, 1570, 2066, 519, 14925, 282, 789, 18220, 513, 2189, 16799, 540, 2339, 267, 1648, 267, 2230, 543, 942, 267, 751, 2130, 998, 519, 5958, 540, 938, 1620, 540, 519, 7122, 563, 2304, 10532, 540, 513, 4563, 670, 1961, 281, 7327, 983, 640, 267, 7926, 21222, 517, 267, 543, 6452, 4958, 542, 2598, 330, 454, 763, 4295, 540, 513, 3109, 8559, 267, 1634, 607, 519, 13737, 640, 267, 568, 1141, 519, 4890, 6323, 4991, 27390, 269, 634, 13737, 640, 568, 1266, 5285, 539, 676, 513, 7793, 545, 10465, 1572, 519, 2680, 16880, 267, 3564, 799, 267, 9101, 3587, 513, 2339, 540, 791, 1601, 2225, 267, 1256, 585, 1769, 269, 28259, 532, 519, 2680, 16880, 267, 972, 1419, 6818, 513, 30437, 12210, 540, 2339, 1634, 607, 606, 934, 4958, 542, 12210, 269, 901, 12210, 568, 4646, 676, 24974, 1570, 3303, 958, 1373, 15504, 883, 519, 3109, 8559, 563, 310, 768, 32440, 281, 634, 15328, 6193, 10374, 25797, 454, 31628, 3749, 6323, 2022, 12885, 519, 6228, 540, 21431, 32440, 267, 31930, 998, 2230, 6066, 2813, 676, 3109, 9475, 269, 6787, 891, 28430, 25310, 538, 519, 2230, 6066, 5958, 1223, 17362, 519, 1259, 585, 26300, 15362, 2443, 610, 1256, 954, 10595, 1392, 531, 2443, 2951, 568, 513, 1523, 1869, 896, 24666, 22987, 563, 14937, 670, 3421, 281, 595, 2784, 956, 540, 10060, 19725, 888, 6944, 9009, 547, 741, 2442, 16160, 3239, 267, 3109, 9475, 5732, 723, 513, 3860, 2427, 269, 10765, 6436, 15974, 602, 7920, 14965, 512, 13903, 689, 3109, 9475, 1223, 9594, 804, 18804, 540, 9362, 3056, 547, 5182, 5250, 269, 1284, 1223, 3976, 581, 7555, 693, 519, 1490, 1074, 540, 1620, 3109, 9475, 607, 17184, 524, 2784, 956, 2840, 2251, 31394, 24974, 29507, 563, 14937, 670, 1961, 15328, 17443, 543, 17747, 23317, 281, 1323, 2271, 878, 622, 1546, 4003, 454, 11321, 11538, 7061, 11707, 609, 3109, 8559, 14421, 1108, 796, 1723, 951, 10578, 632, 8526, 2443, 2890, 3109, 9475, 269, 634, 19858, 9988, 267, 13615, 20244, 547, 23019, 7061, 8904, 3631, 267, 1223, 27723, 18949, 938, 5133, 593, 2339, 267, 2230, 267, 942, 267, 543, 7516, 563, 295, 1177, 6362, 24658, 281, 31786, 519, 11202, 540, 24366, 454, 30262, 21077, 28936, 903, 545, 626, 15537, 8316, 6362, 6069, 602, 3109, 9475, 13451, 513, 1106, 540, 8143, 1648, 267, 1631, 17019, 607, 8316, 6362, 24658, 269, 901, 12316, 3069, 10816, 3022, 519, 7934, 1063, 7061, 11707, 543, 3109, 8559, 32721, 267, 11319, 519, 6302, 540, 4563, 670, 1961, 15328, 17443, 563, 763, 570, 1380, 548, 1063, 6176, 543, 4563, 670, 3421, 281, 634, 6176, 21537, 2135, 454, 3080, 540, 519, 3844, 9840, 1472, 3109, 8559, 14421, 1108, 568, 519, 4563, 670, 1961, 6176, 21537, 2135, 269, 634, 19433, 267, 7184, 12082, 538, 7061, 11707, 267, 2591, 519, 1360, 5748, 540, 6323, 543, 7125, 585, 513, 9097, 2847, 2086, 540, 4540, 6436, 563, 6962, 281, 634, 1133, 2056, 15328, 6193, 19933, 454, 2026, 713, 3408, 540, 3109, 8559, 14421, 1108, 20147, 267, 649, 2097, 3068, 3562, 19904, 609, 519, 20185, 281, 938, 1620, 540, 519, 7122, 568, 2479, 21608, 269, 3962, 6602, 267, 1142, 3069, 267, 1142, 19433, 267, 4412, 1564, 8103, 2417, 883, 519, 17184, 7544, 267, 13031, 519, 27763, 267, 1419, 2247, 1532, 17344, 1782, 267, 2470, 540, 519, 7122, 649, 9468, 269, 0, 763, 24606, 540, 12142, 12672, 611, 8291, 454, 9336, 1032, 267, 6634, 540, 19623, 338, 689, 1472, 519, 1158, 3643, 519, 9087, 1054, 1571, 540, 519, 3943, 12877, 16867, 525, 547, 3802, 538, 519, 3723, 25074, 540, 12142, 12672, 611, 8291, 693, 700, 712, 9188, 269, 898, 779, 835, 540, 519, 1158, 779, 1668, 5006, 7826, 31145, 4609, 609, 1472, 2947, 2929, 19623, 338, 9683, 1142, 1032, 269, 898, 779, 6059, 602, 936, 476, 1220, 2929, 1004, 723, 10272, 519, 631, 4115, 695, 9068, 543, 25113, 2094, 476, 5908, 271, 563, 3963, 798, 789, 2097, 286, 898, 779, 513, 1455, 31605, 602, 1034, 19623, 338, 3643, 700, 712, 9188, 547, 1995, 513, 27803, 269, 1717, 267, 1082, 616, 10478, 585, 4222, 543, 5583, 538, 2053, 540, 7411, 610, 11605, 269, 1280, 1082, 7210, 19623, 338, 267, 700, 712, 9188, 3091, 519, 4316, 547, 536, 7752, 538, 519, 7067, 7297, 540, 519, 5614, 543, 547, 1265, 4708, 609, 741, 23567, 2864, 982, 547, 3343, 513, 14393, 31397, 10826, 563, 5445, 849, 2097, 547, 3802, 538, 519, 3723, 25074, 540, 513, 4057, 476, 1691, 1032, 2025, 8004, 267, 3957, 12672, 611, 8291, 590, 12874, 597, 748, 267, 547, 7247, 519, 645, 1652, 539, 7910, 6307, 7902, 538, 513, 3126, 540, 476, 1240, 15457, 1431, 693, 513, 717, 8527, 1729, 593, 519, 8492, 540, 519, 5757, 717, 1511, 1063, 5988, 543, 5147, 476, 6977, 279, 563, 295, 619, 568, 513, 7415, 1650, 602, 3366, 689, 7092, 543, 21704, 547, 521, 664, 11856, 269, 1284, 666, 1491, 24176, 543, 2721, 6251, 547, 519, 7083, 543, 3571, 645, 1652, 539, 12624, 998, 12672, 611, 8291, 779, 1650, 563, 1103, 713, 24384, 984, 809, 267, 3812, 538, 11450, 609, 519, 7826, 18266, 5980, 267, 649, 6432, 547, 519, 5048, 540, 853, 12672, 611, 8291, 1107, 513, 5048, 602, 568, 607, 2312, 2221, 607, 621, 729, 538, 519, 476, 866, 628, 2540, 563, 1607, 1433, 267, 2854, 676, 31996, 517, 9652, 267, 729, 3370, 676, 519, 7826, 18266, 5980, 630, 290, 4811, 1040, 634, 1257, 729, 15428, 543, 8242, 676, 667, 4689, 674, 1961, 344, 538, 476, 1220, 279, 269, 1411, 666, 6432, 547, 713, 24384, 984, 809, 4528, 585, 1863, 269, 3367, 676, 623, 1512, 11985, 23383, 15937, 10972, 269, 0, 1103, 29942, 32190, 17978, 630, 16703, 301, 1070, 8596, 1106, 519, 3060, 29858, 1510, 948, 540, 1022, 5989, 269, 634, 23139, 2669, 540, 519, 9136, 1813, 547, 2930, 14286, 610, 2669, 1813, 547, 1379, 25874, 949, 11145, 519, 4540, 3795, 543, 14479, 540, 519, 3060, 269, 769, 713, 1957, 267, 7856, 3795, 8559, 6051, 6620, 585, 519, 12616, 9300, 5121, 616, 2966, 602, 946, 519, 6152, 2409, 547, 6430, 519, 9588, 543, 4287, 540, 519, 5985, 9136, 269, 769, 519, 2022, 17293, 9183, 267, 3795, 9475, 540, 519, 3060, 616, 30465, 676, 3001, 519, 9136, 538, 513, 1582, 6896, 6073, 269, 1677, 7413, 519, 1648, 4616, 540, 519, 9136, 1813, 547, 10688, 267, 6620, 616, 2966, 538, 971, 513, 1259, 602, 519, 10688, 568, 3908, 1369, 1152, 835, 31022, 540, 519, 9136, 543, 5207, 3795, 630, 330, 2275, 1478, 720, 264, 540, 513, 6843, 568, 711, 2799, 1310, 922, 10688, 269, 13437, 6268, 540, 519, 6069, 6620, 1397, 602, 1298, 2600, 540, 3795, 6051, 1223, 581, 2009, 676, 3001, 519, 9136, 1369, 741, 2792, 2039, 269, 14755, 267, 519, 3328, 10688, 3845, 540, 519, 9136, 568, 1360, 1507, 547, 9156, 519, 3795, 9475, 676, 938, 6620, 269, 0, 1692, 568, 25425, 2068, 8995, 888, 2691, 23235, 25425, 2068, 267, 1072, 1416, 7426, 786, 4983, 519, 3461, 585, 4191, 543, 2589, 540, 519, 2783, 543, 2436, 610, 711, 519, 3461, 949, 723, 1044, 6534, 547, 3109, 6122, 13949, 24217, 269, 1403, 596, 616, 7487, 513, 4387, 827, 25425, 2068, 267, 596, 1058, 1217, 873, 2436, 610, 711, 596, 723, 1044, 13964, 538, 606, 1858, 602, 1223, 2322, 596, 693, 1981, 585, 513, 8743, 11116, 269, 1403, 513, 1072, 1416, 8502, 568, 8572, 547, 2709, 513, 5868, 1759, 593, 891, 2175, 267, 513, 1973, 1449, 949, 581, 2838, 563, 4322, 4255, 2638, 519, 1973, 585, 12489, 602, 616, 3812, 547, 4339, 606, 3968, 269, 5221, 621, 949, 1491, 1896, 4374, 585, 891, 12489, 547, 1020, 267, 513, 7301, 24308, 1267, 568, 2009, 952, 519, 1449, 4386, 16172, 1310, 519, 8743, 11116, 269, 2659, 1072, 1416, 8502, 949, 2307, 585, 596, 547, 10929, 513, 1246, 5346, 1449, 547, 17046, 569, 13209, 25425, 2068, 269, 0, 31010, 5711, 9882, 568, 1898, 547, 2061, 10733, 2068, 543, 5694, 9178, 269, 769, 1840, 547, 17678, 267, 29781, 568, 513, 1455, 1259, 547, 2973, 707, 4522, 269, 1717, 267, 972, 616, 1079, 1114, 19568, 3681, 593, 519, 2344, 281, 2834, 19568, 543, 1216, 19568, 269, 5637, 2010, 540, 19568, 723, 741, 1378, 5383, 543, 11393, 267, 865, 621, 568, 2556, 547, 1865, 873, 538, 1469, 950, 9236, 741, 7145, 538, 9427, 15799, 563, 26794, 543, 11393, 540, 2834, 19568, 454, 19894, 19568, 568, 513, 2757, 1826, 540, 19568, 9967, 540, 513, 6094, 8142, 602, 568, 1031, 547, 4894, 1426, 11935, 543, 15799, 1063, 519, 4522, 269, 4706, 5383, 1331, 1970, 3902, 267, 8897, 540, 8876, 543, 946, 269, 8617, 19568, 666, 581, 2500, 538, 9427, 1426, 11935, 543, 15799, 267, 2523, 538, 2127, 1141, 519, 4522, 616, 5702, 13988, 269, 1717, 267, 585, 930, 1004, 267, 972, 949, 581, 930, 7965, 609, 1210, 2834, 19568, 267, 971, 607, 519, 7872, 540, 11702, 610, 5945, 547, 519, 14779, 1813, 547, 16789, 946, 269, 4746, 267, 1210, 2834, 19568, 3340, 513, 1978, 2179, 540, 5578, 543, 942, 267, 865, 621, 949, 1491, 930, 2259, 547, 4487, 519, 1697, 1259, 547, 946, 621, 563, 26794, 543, 11393, 540, 1216, 19568, 454, 12850, 19568, 568, 513, 3926, 602, 3096, 513, 1164, 25774, 6908, 540, 1216, 547, 2973, 4522, 269, 4706, 5383, 1331 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3670, 267, 1402, 24882, 543, 786, 578, 585, 29693, 1746, 543, 29647, 711, 1641, 547, 14713, 855, 1031, 676, 812, 607, 513, 6151, 1570, 563, 763, 6142, 949, 849, 3382, 7031, 543, 4829, 16916, 538, 513, 4988, 1858, 630, 6921, 817, 8075, 543, 5068, 3039, 17346, 1916, 2690, 782, 2371, 630, 2335, 783, 338, 543, 17506, 10118, 264, 6142, 3795, 568, 3177, 585, 519, 3483, 540, 741, 14713, 267, 602, 568, 267, 741, 5993, 12593, 267, 799, 568, 1034, 4122, 513, 4829, 267, 8768, 267, 3529, 267, 6978, 267, 3597, 267, 3597, 18450, 267, 838, 8962, 267, 27191, 267, 19155, 610, 22203, 563, 5472, 519, 2371, 602, 616, 1202, 3293, 616, 19882, 2687, 547, 519, 1826, 540, 14713, 543, 6211, 30901, 543, 616, 5258, 883, 912, 268, 4853, 2371, 454, 268, 5613, 543, 11903, 29288, 454, 268, 1762, 15250, 1841, 543, 11903, 29288, 547, 519, 4090, 540, 4742, 15417, 543, 538, 12680, 454, 268, 7031, 543, 5613, 538, 4837, 8075, 543, 5068, 3039, 17346, 454, 268, 4829, 8686, 710, 543, 4104, 9544, 1570, 454, 268, 1762, 4104, 7031, 909, 547, 519, 2085, 540, 476, 277, 454, 268, 16392, 543, 25798, 2371, 454, 268, 786, 3298, 585, 29693, 1746, 267, 556, 2644, 267, 3092, 563, 1432, 4220, 666, 596, 454, 312, 1752, 2530, 538, 7693, 543, 4829, 2504, 568, 24458, 676, 912, 268, 5671, 14794, 267, 3595, 543, 17500, 454, 268, 5614, 15470, 454, 268, 15489, 15470, 2530, 540, 6079, 2298, 538, 6079, 8970, 454, 268, 1310, 519, 7556, 1315, 11018, 454, 268, 2530, 540, 6079, 2298, 454, 268, 2530, 540, 2298, 538, 4829, 543, 3349, 18683, 454, 268, 2530, 540, 8907, 454, 11900, 4269, 3549, 12954, 713, 1826, 540, 6142, 609, 513, 1297, 540, 2640, 267, 971, 607, 1373, 2111, 547, 2628, 513, 14167, 1310, 7556, 610, 11018, 267, 1510, 9878, 1719, 267, 28774, 540, 909, 547, 476, 2004, 260, 950, 9878, 513, 14167, 543, 10958, 532, 2038, 6142, 11731, 563, 1432, 666, 581, 519, 1641, 540, 3662, 6142, 888, 5472, 2010, 543, 6688, 540, 6469, 2831, 267, 930, 3552, 2831, 543, 16678, 2831, 538, 18186, 657, 630, 2426, 12885, 267, 12418, 267, 13265, 267, 23161, 267, 14918, 267, 10987, 267, 5243, 267, 29607, 267, 562, 518, 1091, 267, 2881, 12399, 267, 15798, 267, 890, 659, 4169, 267, 16738, 267, 3092, 4700, 666, 581, 4988, 676, 713, 6142, 3609, 269, 1280, 16738, 6142, 267, 2385, 543, 2504, 1166, 4169, 540, 5230, 543, 1769, 3515, 666, 581, 3177, 267, 607, 1134, 607, 3170, 1084, 532, 17944, 543, 2881, 12399, 269, 898, 568, 1271, 547, 4063, 602, 519, 2831, 607, 513, 2898, 616, 1202, 3293, 267, 711, 741, 2472, 563, 1432, 4220, 666, 2831, 581, 1202, 3293, 1996, 888, 268, 634, 2669, 267, 7142, 26718, 610, 11318, 540, 606, 4576, 610, 8009, 454, 268, 2530, 540, 513, 28419, 630, 325, 334, 531, 264, 1282, 1608, 1324, 454, 268, 2530, 540, 9960, 4390, 540, 646, 28875, 610, 16933, 454, 268, 2530, 540, 9960, 4390, 540, 5256, 9960, 9843, 454, 268, 519, 1981, 540, 5641, 1674, 543, 9065, 926, 30315, 454, 268, 6142, 585, 2831, 693, 24218, 454, 268, 6142, 585, 2831, 1282, 31741, 267, 3092, 563, 268, 6142, 1996, 5906, 11763, 3676, 971, 607, 2220, 710, 8611, 454, 763, 16738, 6142, 4220, 602, 666, 581, 4988, 616, 912, 268, 954, 8306, 540, 14910, 454, 268, 3676, 16155, 2838, 547, 1867, 454, 268, 824, 3676, 543, 2175, 602, 616, 3989, 676, 519, 6142, 3549, 543, 30966, 538, 741, 15928, 16301, 543, 17148, 269, 0, 11767, 1440, 2478, 19951, 711, 1152, 723, 513, 5458, 23789, 540, 1239, 267, 855, 789, 1832, 10655, 1804, 12531, 540, 1239, 689, 513, 3099, 540, 2959, 585, 1585, 12642, 543, 1870, 4987, 7341, 269, 11814, 532, 1804, 12531, 540, 1239, 543, 533, 4979, 621, 909, 538, 1239, 16292, 17346, 568, 1100, 3476, 835, 540, 519, 7887, 2591, 6849, 3906, 269, 769, 1249, 267, 1018, 3906, 6560, 609, 568, 3478, 741, 12240, 547, 3717, 519, 1482, 1893, 865, 789, 666, 2911, 547, 1142, 824, 269, 901, 568, 519, 1101, 1271, 1900, 538, 519, 1239, 5610, 1184, 602, 267, 952, 711, 2944, 1318, 267, 666, 1267, 538, 23696, 3375, 6194, 1813, 547, 556, 6088, 6959, 543, 538, 3147, 340, 20874, 538, 1239, 2079, 269, 901, 568, 1141, 1239, 11837, 2501, 538, 1107, 855, 1018, 568, 1239, 11837, 888, 1432, 568, 1239, 11837, 543, 1946, 568, 621, 1271, 888, 10574, 11837, 666, 581, 3989, 607, 519, 1184, 540, 12805, 1239, 4610, 610, 2609, 689, 835, 610, 811, 2959, 547, 741, 7222, 1239, 4610, 610, 2609, 538, 10278, 269, 769, 824, 1913, 267, 1239, 11837, 2636, 721, 547, 1711, 3347, 1063, 1239, 3631, 1459, 538, 19635, 2959, 269, 6624, 513, 2053, 267, 3906, 946, 1018, 568, 1634, 607, 513, 1239, 11837, 10959, 547, 4786, 1239, 4610, 689, 2707, 1949, 547, 3077, 1949, 269, 1703, 616, 1585, 1239, 11837, 267, 1239, 5610, 267, 543, 21180, 299, 2645, 602, 8850, 4786, 1239, 4610, 689, 835, 2707, 547, 1776, 269, 901, 711, 1152, 11250, 909, 519, 1184, 267, 855, 849, 2164, 538, 7372, 9806, 538, 519, 1279, 2196, 267, 543, 7494, 6971, 519, 1981, 540, 6959, 563, 2467, 616, 1978, 1239, 11837, 1655, 2853, 543, 2553, 950, 621, 2501, 547, 11837, 1239, 4610, 689, 835, 1062, 547, 1776, 269, 6969, 649, 1205, 547, 873, 267, 1577, 721, 1101, 1294, 1946, 1239, 11837, 568, 1271, 269, 4578, 2221, 2501, 689, 513, 3099, 540, 2959, 538, 1114, 12043, 267, 543, 621, 568, 7543, 2721, 4030, 952, 621, 568, 711, 4630, 4094, 1242, 269, 4578, 11837, 6087, 1079, 1949, 547, 5968, 2421, 4180, 602, 519, 1239, 568, 538, 519, 2838, 3898, 693, 519, 10278, 269, 2691, 1239, 568, 25528, 7157, 267, 621, 666, 581, 7471, 267, 9927, 267, 28953, 607, 1134, 607, 16041, 883, 1239, 16292, 17346, 3362, 269, 898, 5849, 602, 519, 1239, 1281, 711, 723, 29927, 543, 568, 4977, 269, 901, 2306, 621, 3015, 547, 519, 3375, 15670, 585, 8746, 3375, 6194, 563, 10574, 11837, 2553, 454, 2026, 2484, 607, 1239, 11837, 2553, 616, 7255, 267, 972, 616, 5631, 1614, 2010, 1107, 8261, 267, 5033, 807, 583, 558, 730, 267, 543, 4628, 12747, 563, 268, 15015, 1239, 11837, 454, 1607, 568, 267, 607, 519, 2012, 5267, 267, 519, 8261, 1505, 547, 4786, 1239, 269, 898, 3340, 3318, 13798, 619, 689, 8668, 610, 824, 2930, 8257, 547, 2328, 3009, 543, 4786, 1239, 2959, 547, 519, 3077, 28203, 269, 2755, 713, 568, 942, 21791, 543, 3340, 513, 2603, 540, 6791, 267, 621, 3091, 2407, 1852, 543, 29356, 563, 268, 590, 8598, 583, 558, 730, 1239, 11837, 454, 1607, 1239, 11837, 4640, 568, 849, 4749, 1572, 28203, 11837, 269, 4495, 1586, 621, 666, 581, 18505, 1042, 689, 519, 2012, 602, 621, 568, 513, 4999, 540, 1312, 8261, 543, 12747, 1239, 11837, 2994, 269, 1548, 4523, 568, 602, 1239, 11837, 2645, 1711, 6402, 1063, 519, 1239, 2959, 799, 616, 1287, 20240, 676, 8668, 610, 2930, 10986, 269, 7102, 11941, 602, 616, 2556, 666, 1287, 581, 1500, 563, 268, 27975, 569, 12747, 1239, 11837, 454, 1103, 4334, 547, 8261, 543, 5033, 807, 583, 558, 730, 1239, 11837, 267, 513, 4628, 12747, 1239, 11837, 3340, 1100, 8193, 269, 4578, 11837, 2645, 610, 824, 10427, 1239, 5610, 543, 21180, 299, 2645, 616, 4628, 5827, 540, 2921, 1416, 540, 519, 1239, 11837, 1184, 593, 741, 1378, 269, 901, 7363, 4523, 538, 513, 3009, 6954, 267, 8749, 7146, 1673, 1886, 1604, 563, 10574, 11837, 1655, 2853, 454, 16352, 8854, 998, 519, 1239, 11837, 2553, 267, 1577, 721, 1631, 1413, 693, 519, 476, 276, 1655, 2853, 547, 1246, 950, 11837, 1239, 912, 268, 10576, 543, 4786, 1239, 454, 300, 6260, 1239, 666, 581, 513, 4161, 282, 2705, 267, 621, 666, 581, 3362, 18808, 609, 676, 7114, 519, 1239, 8227, 269, 1452, 1239, 5411, 616, 1134, 268, 951, 539, 538, 741, 6389, 543, 3142, 513, 5763, 540, 1702, 950, 621, 2501, 547, 4758, 2495, 547, 519, 1239, 269, 22682, 267, 621, 1152, 2306, 2631, 950, 2576, 945, 814, 519, 1702, 593, 519, 1686, 540, 1239, 568, 3238, 538, 11837, 621, 563, 268, 3550, 1239, 3354, 454, 10574, 11837, 2645, 267, 811, 4481, 267, 1239, 5610, 3301, 891, 2395, 616, 9280, 609, 4359, 3354, 2934, 602, 2149, 519, 1239, 543, 1239, 1065, 21627, 1559, 689, 18977, 1569, 1247, 3246, 1978, 1377, 540, 1569, 547, 3755, 971, 607, 1239, 19767, 563, 268, 14825, 622, 519, 1184, 454, 8794, 12747, 1239, 11837, 267, 3906, 666, 4688, 2200, 538, 519, 1279, 2196, 607, 741, 1239, 2242, 543, 27372, 936, 942, 563, 268, 19321, 21237, 454, 2690, 513, 1239, 18180, 602, 5170, 547, 2095, 1239, 16900, 267, 621, 568, 2629, 547, 2226, 621, 689, 942, 547, 942, 267, 610, 950, 519, 991, 14340, 269, 901, 1522, 1611, 21130, 610, 22212, 4540, 1239, 544, 1952, 902, 282, 4061, 267, 621, 568, 1271, 547, 2327, 602, 519, 544, 1952, 902, 616, 607, 4977, 607, 2009, 1354, 519, 5826, 563, 268, 5901, 5638, 540, 1239, 4687, 454, 10574, 7851, 616, 2565, 547, 1832, 513, 3950, 540, 9988, 609, 7247, 519, 1239, 568, 3838, 269, 898, 568, 2556, 547, 3561, 1169, 2460, 540, 1239, 11837, 543, 875, 621, 568, 1031, 547, 2327, 972, 616, 1100, 21463, 950, 1007, 1004, 616, 3238, 538, 519, 1184, 563, 2026, 609, 1169, 824, 2460, 540, 1239, 5610, 267, 972, 616, 930, 1655, 2853, 547, 1491, 5413, 540, 950, 11837, 1239, 269, 1703, 616, 849, 1114, 2553, 602, 3906, 666, 1491, 5413, 540, 4470, 593, 741, 946, 30924, 267, 6578, 267, 543, 1808, 4170, 269, 2755, 8261, 1239, 11837, 3091, 29356, 543, 2407, 1852, 693, 519, 13258, 540, 942, 543, 4674, 267, 543, 4628, 12747, 1239, 11837, 3091, 8897, 6361, 14025, 267, 3432, 267, 543, 3009, 268, 1725, 8251, 1604, 267, 5033, 807, 583, 558, 730, 1239, 11837, 16716, 513, 3666, 1063, 519, 1079, 269, 0, 9336, 1485, 21964, 540, 13804, 1115, 1411, 946, 22197, 538, 1082, 2081, 602, 1522, 9983, 596, 2336, 4467, 10139, 3040, 589, 22315, 568, 513, 11275, 269, 590, 841, 832, 267, 554, 1731, 619, 267, 543, 17701, 946, 513, 22315, 547, 6330, 563, 294, 1868, 3040, 13804, 1115, 666, 581, 1336, 538, 1082, 1187, 3756, 649, 1404, 563, 8269, 3419, 518, 2209, 3040, 13804, 1115, 3180, 21067, 9885, 6806, 563, 303, 2720, 525, 3040, 13804, 1115, 666, 3180, 930, 1625, 4513, 6806, 269, 901, 568, 513, 6419, 26882, 563, 290, 13072, 21998, 3040, 15894, 6486, 946, 22197, 1932, 256, 634, 6419, 14816, 593, 519, 1394, 6585, 1344, 563, 4692, 7046, 619, 3040, 13804, 1115, 948, 513, 666, 1930, 518, 960, 269, 0, 6781, 9646, 6077, 630, 1729, 264, 910, 1677, 17355, 10663, 12284, 543, 15915, 689, 513, 6077, 1739, 513, 11605, 454, 16914, 7951, 566, 21117, 910, 700, 9554, 7923, 547, 3760, 693, 6077, 781, 2427, 609, 6366, 3268, 543, 1688, 571, 2812, 7175, 7606, 547, 7832, 1315, 771, 10603, 1046, 689, 1216, 610, 13272, 454, 3849, 337, 3424, 910, 1133, 25049, 3350, 693, 4262, 896, 519, 3310, 540, 1699, 267, 20352, 610, 2842, 454, 21080, 8908, 910, 634, 4463, 689, 519, 1216, 1467, 547, 519, 5207, 1448, 540, 519, 6077, 454, 2026, 12273, 6728, 910, 9255, 593, 16064, 267, 538, 3190, 11623, 267, 3092, 1421, 8655, 547, 12284, 543, 15915, 1141, 789, 723, 547, 2743, 2687, 547, 519, 1590, 518, 1592, 950, 519, 7222, 15372, 568, 5950, 610, 23318, 1500, 454, 12988, 532, 630, 1993, 2842, 264, 910, 29196, 540, 2842, 4287, 538, 606, 1884, 545, 6674, 3772, 6073, 267, 585, 1383, 689, 5087, 547, 7178, 630, 641, 22683, 540, 1654, 1359, 994, 6826, 778, 630, 1729, 264, 910, 1677, 2196, 513, 6077, 909, 593, 513, 11824, 547, 2061, 922, 29855, 538, 2620, 1216, 454, 29155, 628, 1547, 272, 910, 589, 4262, 4055, 547, 581, 6854, 585, 3106, 1472, 513, 6077, 267, 4224, 267, 3760, 267, 3092, 563, 29155, 628, 1547, 273, 910, 634, 1747, 8655, 547, 513, 6077, 950, 12979, 1819, 610, 14084, 7258, 513, 22815, 267, 3092, 563, 7922, 770, 910, 589, 27646, 5365, 1500, 676, 519, 6077, 454, 7922, 785, 5823, 910, 1323, 1858, 799, 3112, 581, 1085, 10165, 676, 519, 6928, 779, 16986, 1317, 621, 568, 13104, 539, 676, 2694, 540, 519, 22530, 4450, 267, 544, 6814, 267, 3092, 563, 22517, 8973, 12417, 910, 2353, 3937, 267, 971, 607, 12681, 21117, 267, 22098, 21117, 267, 11876, 626, 267, 3092, 1421, 2556, 585, 513, 2922, 4483, 540, 519, 12681, 454, 22517, 8973 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9099, 1148, 543, 6189, 538, 700, 1481, 539, 665, 267, 5333, 267, 10223, 922, 3140, 2796, 267, 7499, 6163, 267, 543, 2686, 4644, 269, 1635, 6313, 713, 1808, 2013, 1353, 267, 1053, 6591, 4030, 883, 519, 6626, 4798, 540, 2686, 5872, 267, 3860, 4082, 267, 543, 3909, 13513, 1369, 9099, 7239, 269, 11086, 267, 2502, 609, 9099, 1148, 2636, 721, 547, 5660, 519, 3309, 13795, 540, 1480, 5876, 1247, 5807, 3152, 6568, 543, 2463, 1851, 1004, 540, 1114, 10080, 543, 4978, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 288, 24128, 12260, 518, 4647, 1863, 454, 290, 601, 773, 5129, 676, 5808, 641, 328, 7108, 6199, 538, 634, 7822, 7117, 758, 344, 343, 1168, 9926, 534, 340, 269, 1284, 4163, 513, 1804, 5542, 540, 26036, 336, 12534, 3534, 25655, 8261, 338, 585, 707, 26036, 336, 12534, 3534, 25655, 22927, 3684, 610, 26036, 336, 12534, 3534, 25655, 521, 1120, 518, 269, 1284, 9523, 5253, 2433, 769, 519, 521, 267, 519, 20740, 513, 701, 5795, 1259, 547, 519, 20361, 773, 513, 701, 269, 634, 4055, 814, 513, 635, 325, 344, 5127, 609, 7899, 11360, 10788, 3298, 267, 513, 9910, 1922, 16466, 267, 17196, 267, 6266, 540, 12123, 16788, 267, 543, 513, 20036, 4224, 532, 11381, 269, 18409, 14840, 476, 275, 13676, 538, 476, 272, 560, 1554, 554, 2931, 2319, 28183, 476, 273, 13037, 267, 31656, 680, 7431, 1107, 30991, 15545, 634, 26620, 4266, 689, 519, 476, 1704, 628, 2540, 547, 519, 476, 736, 628, 2540, 269, 1280, 4168, 3909, 5301, 267, 700, 1481, 539, 665, 729, 849, 5258, 883, 513, 1978, 1297, 540, 3235, 27036, 20292, 16899, 267, 1519, 519, 2895, 10972, 665, 3150, 540, 570, 9567, 1787, 267, 519, 2895, 10972, 665, 3150, 540, 715, 12365, 928, 267, 543, 519, 2895, 10972, 665, 3150, 540, 1325, 6798, 269, 18370, 14168, 543, 5347, 547, 946, 3117, 1703, 568, 1100, 931, 547, 581, 9237, 269, 594, 723, 2760, 2119, 547, 1118, 1404, 14859, 267, 1313, 1993, 790, 2319, 28183, 476, 273, 798, 596, 12808, 26176, 2088, 513, 12990, 585, 519, 8645, 540, 25188, 541, 286, 1717, 621, 7012, 1406, 13098, 1324, 782, 519, 7329, 779, 543, 519, 521, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 15215, 1315, 5771, 1315, 9099, 3203, 267, 15339, 267, 1299, 9177, 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, 31292, 1323, 17561, 281, 589, 18043, 16709, 692, 2026, 596, 5490, 883, 519, 4241, 1158, 540, 606, 15589, 5735, 267, 621, 781, 1898, 547, 1174, 519, 2565, 1909, 9025, 23236, 4249, 1282, 10551, 5773, 269, 901, 3184, 786, 1683, 606, 538, 3829, 2079, 540, 9025, 23236, 267, 922, 6286, 267, 9270, 267, 543, 875, 621, 5222, 1585, 3461, 5095, 269, 1635, 3695, 713, 9159, 25246, 540, 606, 15589, 5735, 267, 596, 3513, 3986, 707, 7071, 585, 519, 6946, 16799, 1063, 606, 20469, 8069, 267, 12214, 6114, 267, 543, 6099, 3461, 4093, 780, 272, 269, 11137, 540, 31292, 25665, 4438, 1323, 17561, 692, 7628, 23236, 7245, 267, 7096, 19260, 538, 8280, 19392, 630, 29188, 2604, 267, 2295, 2557, 267, 543, 4579, 1006, 264, 543, 5135, 6765, 1671, 826, 269, 9182, 267, 1620, 891, 2242, 3587, 14063, 585, 3811, 31971, 10869, 2359, 269, 12920, 18331, 781, 25505, 585, 5135, 4679, 896, 23236, 1813, 547, 4389, 2837, 267, 3679, 8598, 267, 543, 476, 273, 267, 274, 1532, 529, 874, 6664, 16570, 1356, 622, 2157, 267, 6038, 7393, 5160, 5135, 566, 269, 1717, 267, 15176, 1313, 648, 326, 1637, 949, 14207, 4105, 1418, 13526, 4288, 1282, 5492, 3290, 267, 26089, 22111, 5464, 543, 6304, 780, 273, 269, 634, 8177, 540, 1323, 20469, 3397, 757, 593, 9315, 13519, 9577, 692, 26452, 606, 20469, 8069, 11851, 3309, 2360, 593, 26961, 658, 1599, 269, 5292, 8684, 606, 652, 12060, 3622, 2569, 11528, 15466, 4187, 1247, 2810, 27625, 31887, 267, 7551, 16715, 1310, 2903, 543, 840, 2903, 267, 6606, 269, 1452, 8069, 849, 6175, 4579, 1006, 267, 799, 949, 1291, 547, 26961, 658, 4965, 693, 2362, 13066, 269, 2201, 519, 14669, 267, 32326, 606, 652, 12060, 899, 1696, 558, 28371, 8858, 8766, 1764, 593, 8280, 19392, 267, 6466, 1866, 267, 1519, 4412, 1993, 565, 543, 555, 11340, 1581, 267, 6175, 11528, 15466, 4187, 543, 26961, 658, 4579, 1006, 269, 4197, 891, 21441, 6087, 3358, 8665, 5542, 1759, 593, 1367, 3461, 4170, 780, 274, 269, 5004, 540, 15214, 11364, 543, 23738, 3290, 692, 20812, 13630, 2400, 14501, 1282, 23236, 2333, 24896, 1981, 998, 1439, 268, 6716, 3441, 543, 19847, 10138, 7067, 269, 2776, 3319, 1947, 7114, 1164, 16151, 2043, 2636, 585, 6098, 14278, 11043, 605, 29091, 9471, 1210, 12498, 3625, 619, 267, 7513, 8756, 21087, 1235, 267, 2587, 3999, 839, 514, 8410, 31844, 11747, 20127, 267, 610, 1019, 675, 9455, 269, 11531, 267, 5492, 3290, 2359, 12346, 2390, 5714, 759, 19895, 2787, 267, 21729, 641, 31395, 22612, 267, 543, 5732, 19944, 6672, 540, 1055, 2056, 606, 20469, 8069, 269, 16424, 8482, 4320, 8390, 3842, 13942, 26048, 2079, 16881, 3804, 30928, 3797, 267, 17306, 5714, 4567, 1510, 7050, 16358, 1355, 1102, 16272, 780, 275, 269, 7981, 19047, 538, 4400, 7304, 7416, 14904, 692, 30535, 609, 840, 1410, 12371, 9025, 2175, 15549, 1880, 28858, 1282, 606, 20469, 1416, 11865, 269, 1280, 3236, 267, 1346, 609, 18337, 16050, 2068, 2154, 6297, 7156, 3823, 26961, 658, 5135, 3761, 543, 3747, 3666, 269, 3131, 328, 10869, 16061, 1532, 6674, 1228, 6971, 8801, 2621, 538, 713, 2551, 282, 2705, 267, 5707, 7992, 6646, 1036, 6036, 3340, 30190, 3007, 269, 6684, 267, 1130, 341, 983, 2295, 3676, 23626, 9488, 4879, 543, 16419, 2994, 5466, 12012, 15205, 2175, 267, 1761, 3468, 633, 8374, 267, 543, 2855, 20263, 5362, 780, 276, 269, 7351, 12367, 543, 10765, 5525, 538, 31292, 1323, 17561, 692, 13146, 7760, 723, 19117, 9025, 23236, 2259, 269, 3690, 525, 23569, 20192, 18201, 25086, 814, 7153, 607, 606, 16832, 1907, 585, 6024, 6268, 540, 5887, 14152, 2773, 267, 1130, 341, 983, 28671, 267, 543, 6237, 3774, 5163, 17244, 269, 3958, 267, 1448, 6361, 13282, 4152, 3457, 5512, 4028, 8990, 540, 30243, 1637, 12632, 267, 13057, 12905, 1973, 1587, 13816, 16272, 543, 10893, 11702, 4220, 269, 5015, 267, 8476, 6051, 11444, 11168, 2038, 970, 889, 566, 267, 1617, 574, 27567, 1387, 2471, 807, 267, 543, 10728, 5605, 1637, 267, 28285, 538, 4824, 4791, 24551, 543, 27571, 6413, 13978, 780, 1103, 3932, 267, 17117, 540, 9025, 23236, 3741, 28382, 3782, 4648, 609, 519, 1702, 2838, 547, 6330, 1950, 3375, 6194, 7653, 543, 2327, 15028, 3461, 4093, 269, 3414, 11826, 1353, 267, 3946, 6823, 2866, 267, 543, 5571, 1382, 6278, 267, 14971, 9439, 666, 11349, 6791, 1369, 713, 6422, 2361, 267, 16111, 14027, 741, 15334, 543, 5807, 5647, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 11293, 5558, 12833, 6295, 1323, 17561, 454, 2304, 17561, 6959, 616, 513, 1106, 540, 2564, 4731, 335, 15462, 950, 789, 2049, 1813, 547, 2564, 3318, 32226, 610, 28824, 12161, 269, 769, 1876, 267, 23236, 5470, 6811, 2049, 950, 513, 3461, 2833, 11991, 2800, 607, 513, 1267, 540, 6959, 538, 28720, 23236, 563, 2304, 17561, 6959, 666, 581, 5340, 676, 513, 4387, 267, 12016, 267, 606, 15589, 328, 6048, 267, 610, 824, 2564, 5234, 2818, 945, 17982, 606, 20469, 5061, 547, 513, 3461, 563, 1432, 1772, 1323, 17561, 888, 763, 2165, 23236, 4016, 547, 513, 10151, 267, 1199, 1227, 14001, 1533, 602, 3123, 1022, 4999, 540, 993, 5886, 807, 267, 17418, 547, 1745, 1928, 267, 2530, 540, 20258, 4887, 16846, 525, 267, 2530, 540, 30506, 267, 543, 8519, 2566, 3210, 269, 10029, 540, 606, 652, 12060, 949, 4125, 835, 610, 811, 2010, 540, 3075, 267, 4470, 593, 519, 5551, 1198, 563, 2304, 17561, 568, 1034, 1419, 1031, 1354, 2564, 5773, 267, 971, 607, 6391, 269, 1306, 513, 1267, 267, 2550, 798, 711, 1995, 519, 1928, 610, 11605, 602, 789, 1522, 1995, 952, 789, 941, 6857, 610, 32615, 547, 14815, 269, 898, 1775, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25205, 26210, 1323, 17561, 257, 607, 851, 540, 834, 25503, 1315, 1323, 15589, 5735, 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, 8080, 547, 938, 3460, 998, 942, 543, 6492, 256, 4653, 267, 649, 3513, 2263, 519, 3638, 11477, 5389, 540, 519, 3689, 8315, 1004, 540, 25725, 6816, 267, 1631, 1634, 607, 4516, 269, 1284, 786, 3605, 875, 789, 723, 12873, 741, 2189, 10346, 1247, 15268, 873, 547, 2413, 2053, 269, 901, 3184, 6212, 593, 28160, 1944, 9135, 14908, 676, 1565, 827, 6805, 3536, 543, 741, 4644, 538, 8225, 1686, 543, 2528, 269, 2913, 781, 4685, 883, 713, 8949, 1158, 2439, 5331, 9361, 1472, 513, 11523, 1782, 3786, 13933, 267, 11981, 2984, 5293, 1524, 689, 5481, 1247, 544, 684, 4221, 593, 3636, 267, 11344, 29744, 536, 2335, 1442, 1159, 6139, 1042, 538, 6653, 25308, 21360, 610, 801, 4765, 609, 30861, 30207, 269, 645, 2335, 1442, 267, 849, 1572, 26650, 30103, 267, 568, 513, 2241, 2943, 11684, 6366, 30103, 602, 666, 581, 11273, 936, 1930, 26428, 267, 19323, 267, 610, 1256, 2620, 1922, 3072, 269, 27603, 1500, 1210, 1152, 7912, 267, 1216, 267, 11256, 8869, 267, 543, 6070, 267, 621, 5713, 607, 1312, 513, 2427, 8670, 543, 513, 3490, 585, 1585, 5023, 21226, 532, 6980, 971, 607, 519, 18937, 26953, 570, 23147, 267, 2349, 1678, 564, 13928, 267, 543, 3004, 3899, 781, 10965, 871, 269, 8528, 763, 18937, 26953, 570, 23147, 568, 513, 11537, 4313, 1426, 1141, 2571, 536, 2335, 1442, 6411, 607, 513, 24120, 585, 1990, 17965, 19023, 2666, 5779, 267, 27598, 10365, 267, 26546, 23858, 267, 22691, 14274, 267, 5283, 1399, 10381, 267, 543, 3579, 11877, 8645, 269, 18461, 707, 6492, 19512, 7544, 693, 519, 2219, 540, 24146, 883, 713, 31676, 3575, 540, 10366, 543, 18282, 2439, 3086, 4605, 3054, 24146, 883, 513, 2349, 1678, 564, 13928, 1107, 513, 3501, 4999, 540, 513, 30861, 3905, 2915, 610, 530, 1329, 518, 2220, 520, 1117, 538, 13035, 267, 5594, 1750, 14567, 536, 2335, 1442, 14859, 269, 654, 571, 5529, 909, 899, 513, 18241, 3276, 761, 334, 267, 713, 22488, 1521, 6770, 14246, 543, 7772, 1282, 19771, 610, 669, 11035, 17334, 896, 519, 6801, 780, 288, 3004, 3899, 781, 10965, 871, 3091, 1776, 17175, 12760, 540, 5820, 910, 6094, 21100, 540, 536, 860, 3534, 610, 12899, 1889, 520, 512, 26786, 1063, 2770, 27918, 4773, 540, 536, 2335, 1442, 269, 11822, 2943, 17598, 267, 891, 15409, 1434, 625, 1683, 1648, 950, 3695, 2470, 610, 11504, 2146, 2621, 780, 28757, 7087, 11951, 4422, 3564, 1175, 13000, 282, 621, 13315, 2757, 8286, 10023, 12725, 21433, 3014, 16469, 899, 536, 2581, 610, 1714, 330, 267, 15195, 3165, 899, 13687, 543, 29607, 267, 8770, 11656, 3597, 5388, 267, 3618, 344, 3552, 7573, 267, 23599, 29225, 1786, 14954, 689, 29549, 11922, 899, 524, 25729, 267, 543, 24253, 10425, 18705, 689, 7524, 267, 15934, 1790, 17977, 15708, 269, 1452, 27357, 13144, 16138, 880, 1560, 543, 9997, 267, 8220, 2043, 547, 18577, 7326, 543, 19644, 9821, 780, 2414, 5963, 5660, 891, 13344, 689, 12624, 3047, 267, 2015, 9683, 835, 540, 519, 1082, 9735, 7087, 14060, 2066, 14411, 269, 2290, 26124, 1383, 568, 715, 880, 291, 880, 267, 513, 18803, 22538, 2946, 4535, 856, 540, 513, 6612, 585, 8497, 543, 4687, 8076, 1323, 880, 333, 1177, 2041, 630, 301, 880, 264, 24214, 269, 1635, 18226, 1934, 267, 596, 1489, 2686 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3466, 1282, 519, 2063, 476, 276, 1296, 267, 519, 1505, 827, 875, 1281, 519, 2754, 798, 741, 14051, 267, 543, 875, 1281, 519, 2754, 4383, 519, 4220, 602, 2059, 609, 519, 14051, 269, 7053, 267, 519, 16252, 786, 581, 2016, 547, 519, 2754, 2807, 1496, 15912, 281, 16010, 267, 32501, 2639, 4198, 277, 1913, 630, 276, 269, 277, 3817, 994, 268, 769, 713, 1957, 594, 786, 2689, 875, 2518, 5314, 814, 12936, 519, 8535, 12752, 538, 2487, 1296, 267, 543, 538, 1880, 519, 2475, 3818, 5991, 1049, 17629, 8535, 6828, 630, 9331, 294, 1040, 634, 2165, 2518, 5314, 568, 3989, 607, 968, 1492, 1184, 676, 799, 4213, 610, 824, 14540, 1020, 3486, 3310, 610, 1376, 5665, 593, 606, 3486, 4336, 892, 630, 14240, 540, 14051, 1040, 4658, 779, 2070, 540, 2518, 5314, 9775, 4470, 593, 513, 1297, 540, 2188, 1519, 1141, 789, 2661, 267, 741, 4984, 267, 1514, 4567, 267, 2797, 16809, 267, 2686, 4282, 543, 5763, 2807, 1496, 15912, 281, 32501, 10749, 2639, 27244, 279, 1913, 630, 278, 269, 279, 3817, 994, 268, 5565, 1713, 4930, 602, 2263, 875, 1762, 1004, 4497, 609, 2518, 2528, 689, 1114, 5380, 616, 519, 6167, 781, 1412, 21930, 4658, 538, 32501, 2622, 262, 630, 1220, 274, 264, 543, 1488, 32200, 781, 1412, 763, 10017, 540, 32501, 262, 630, 1220, 273, 1040, 769, 922, 2376, 519, 6167, 3217, 519, 14227, 1935, 547, 4983, 875, 1762, 1004, 4497, 609, 2518, 2528, 269, 1358, 3409, 602, 519, 1377, 540, 1762, 1004, 7589, 568, 28836, 543, 713, 5673, 593, 741, 2883, 2200, 543, 741, 4087, 269, 901, 3947, 6278, 10862, 547, 4683, 13473, 1004, 543, 10597, 1514, 17478, 1063, 3638, 543, 4057, 2807, 1496, 15912, 281, 634, 10017, 540, 32501, 2639, 31405, 1913, 630, 273, 269, 278, 3817, 994, 268, 21850, 29767, 5274, 17260, 723, 22734, 5215, 952, 711, 6634, 540, 1296, 540, 4720, 267, 1689, 543, 7526, 269, 4340, 547, 9652, 1299, 2423, 548, 630, 1220, 271, 267, 533, 269, 476, 7918, 264, 1480, 585, 6162, 3459, 10825, 2429, 519, 1158, 936, 1079, 2929, 1296, 3516, 269, 24367, 741, 7449, 14571, 676, 11018, 3552, 15708, 543, 10122, 2831, 267, 713, 1895, 2968, 519, 1101, 968, 3530, 23308, 2486, 892, 630, 297, 28427, 1299, 2423, 548, 267, 476, 1220, 271, 267, 533, 269, 476, 7918, 1040, 589, 2101, 2014, 540, 713, 3413, 26475, 729, 519, 1970, 2551, 5860, 543, 519, 5223, 540, 3552, 1426, 547, 519, 1480, 2551, 2807, 1496, 15912, 281, 32501, 10749, 2639, 13679, 275, 1913, 630, 275, 269, 278, 3817, 994, 268, 32501, 543, 12504, 7589, 616, 1419, 693, 519, 21282, 538, 519, 3609, 6194, 1184, 1765, 845, 1637, 267, 6388, 267, 543, 6268, 1765, 531, 784, 609, 3609, 2242, 269, 3509, 2804, 543, 2797, 5640, 723, 11130, 602, 14051, 13514, 513, 3463, 547, 12504, 7589, 543, 1533, 16285, 676, 2870, 606, 1604, 1141, 4759, 2829, 1616, 547, 17997, 741, 1378, 1582, 29027, 593, 513, 2518, 4336, 269, 634, 3483, 540, 713, 1957, 568, 547, 2263, 519, 1909, 14051, 543, 12504, 7589, 1404, 538, 519, 3609, 6194, 1184, 676, 1210, 519, 2136, 8315, 607, 606, 1383, 540, 606, 3486, 3919, 602, 12346, 8185, 2390, 3403, 689, 4759, 2829, 547, 3132, 1007, 3652, 543, 5773, 2807, 1496, 15912, 281, 2136, 8315, 267, 2136, 2276, 2639, 13136, 279, 1913, 630, 277, 269, 274, 3817, 994, 268, 570, 21764, 5508, 28132, 19006, 570, 21764, 5508, 28132, 19006, 476, 272, 9474, 27345, 24199, 667, 8016, 9331, 7728, 476, 272, 6673, 303, 2752, 5085, 28960, 19851, 23802, 5442, 23834, 15477, 3201, 20796, 17162, 476, 272, 2561, 28328, 12752, 11137, 476, 272, 27999, 12752, 11137, 476, 273, 32501, 12367, 476, 274, 32501, 910, 16949, 540, 23398, 11242, 476, 275, 11123, 4488, 17129, 1299, 11553, 3633, 8453, 306, 476, 276, 476, 276, 4458, 21222, 517, 476, 276, 476, 1015, 4458, 21222, 517, 476, 276, 9474, 27345, 24199, 667, 8016, 9331, 7728, 634, 829, 11663, 4369, 540, 1427, 9430, 538, 519, 7262, 1158, 3762, 519, 2872, 1930, 585, 6297, 2079, 269, 901, 3561, 568, 5497, 547, 4274, 569, 2232, 2518, 2360, 5196, 513, 2582, 1016, 11897, 2722, 540, 10685, 910, 20614, 813, 28328, 2807, 1496, 15912, 281, 4934, 338, 25703, 267, 5510, 3333, 1681, 267, 5131, 11780, 2639, 13932, 279, 1913, 630, 275, 269, 278, 3817, 994, 268, 17593, 634, 7084, 14592, 519, 13865, 3604, 1063, 519, 2474, 834, 17471, 1436, 257, 543, 834, 17220, 6355, 257, 676, 28388, 3621, 3137, 538, 519, 22237, 3332, 607, 1134, 607, 2404, 1514, 14426, 543, 2184, 545, 569, 1644, 4485, 269, 898, 20186, 519, 1114, 4207, 11994, 540, 1312, 2474, 543, 19707, 585, 1007, 543, 13778, 5036, 540, 2825, 21876, 1369, 519, 3137, 3177, 585, 519, 2165, 32501, 538, 1931, 547, 2697, 3604, 689, 4139, 6355, 1306, 513, 3932, 267, 519, 7084, 13187, 267, 602, 14051, 568, 538, 1249, 4986, 13778, 538, 2474, 540, 4346, 543, 1223, 581, 7449, 25390, 896, 519, 2165, 3486, 1870, 2807, 1496, 15912, 281, 4934, 338, 25703, 267, 5510, 3333, 1681, 267, 5131, 11780, 2639, 15996, 280, 1913, 630, 277, 269, 277, 3817, 994, 268, 4139, 6355, 4760, 7084, 32501, 4039, 919, 547, 519, 2799, 3486, 28211, 607, 513, 1463, 12343, 540, 519, 2450, 952, 519, 2344, 2810, 782, 519, 942, 269, 8241, 1870, 1590, 581, 513, 548, 547, 14526, 538, 513, 1158, 4336, 269, 898, 3322, 14078, 4058, 741, 2504, 3157, 865, 602, 1142, 7463, 30834, 1707, 540, 519, 2898, 1184, 568, 5645, 856, 538, 513, 2197, 1141, 2175, 616, 3226, 7957, 24461, 585, 602, 1826, 540, 960, 269, 901, 814, 782, 1291, 547, 519, 16715, 519, 29388, 13684, 593, 2477, 547, 2149, 741, 2199, 6990, 2807, 1496, 15912, 281, 4139, 6355, 2639, 26605, 1913, 630, 273, 269, 277, 3817, 264, 0, 1103, 634, 4414, 14068, 613, 540, 595, 5971, 676, 15537, 595, 8735, 519, 1292, 1915, 267, 8361, 18307, 2719, 267, 2219, 646, 6956, 519, 2112, 1063, 519, 3345, 543, 519, 3162, 269, 1717, 267, 1010, 1620, 3357, 968, 5228, 1010, 1702, 540, 18912, 8941, 543, 13299, 892, 263, 294, 756, 5459, 476, 2641, 1040, 8361, 2219, 602, 646, 729, 899, 519, 12325, 602, 646, 1224, 827, 538, 891, 2984, 269, 1261, 4166, 4121, 602, 1483, 2112, 729, 1360, 1114, 689, 1010, 19511, 6788, 269, 595, 8735, 3576, 8361, 779, 6720, 553, 625, 543, 4334, 539, 873, 609, 519, 19178, 540, 519, 2112, 547, 1020, 713, 1292, 1915, 883, 513, 9921, 1268, 563, 30875, 6170, 1010, 2038, 1272, 593, 513, 3484, 538, 9098, 269, 8361, 779, 8226, 540, 519, 1158, 729, 8032, 3592, 7357, 676, 519, 2835, 1010, 3993, 5795, 1864, 547, 1224, 269, 2991, 519, 2112, 3323, 267, 968, 1492, 14786, 5645, 6589, 540, 1390, 12959, 267, 538, 799, 519, 3345, 729, 4619, 528, 269, 20290, 1169, 1554, 519, 14786, 9102, 6589, 540, 23801, 11802, 892, 263, 310, 531, 12827, 339, 1070, 8361, 779, 3993, 729, 26997, 547, 1577, 1200, 5067, 4734, 1753, 543, 979, 3162, 547, 798, 6370, 1996, 519, 20752, 8136, 269, 2701, 6785, 602, 8361, 779, 5075, 540, 2112, 729, 711, 1018, 2112, 568, 2731, 899, 269, 2701, 6836, 547, 1205, 8361, 547, 1689, 1010, 2247, 827, 11836, 519, 7952, 267, 855, 1352, 729, 28336, 1317, 968, 2145, 525, 540, 2048, 1492, 2112, 538, 1010, 1378, 2197, 685, 23366, 3459, 547, 1847, 1864, 269, 1358, 1082, 711, 581, 3982, 569, 25264, 545, 267, 855, 972, 8604, 547, 581, 1454, 18710, 538, 873, 685, 892, 263, 290, 1328, 476, 14338, 1040, 8361, 968, 529, 12592, 892, 676, 1010, 968, 12516, 545, 6788, 540, 2048, 24030, 1919, 685, 892, 263, 8624, 3200, 476, 9032, 264, 607, 1134, 607, 1010, 16994, 1719, 543, 7279, 827, 1018, 646, 5784, 607, 519, 2609, 540, 2112, 563, 30875, 2219, 602, 952, 835, 1705, 711, 1205, 513, 2699, 3983, 613, 540, 10100, 267, 1287, 646, 729, 513, 10800, 731, 269, 8361, 1185, 968, 321, 25114, 892, 538, 1010, 2247, 269, 968, 293, 548, 2719, 1131, 1780, 883, 606, 4726, 696, 633, 959, 766, 538, 799, 2483, 1862, 1647, 540, 1957, 4429, 1862, 333, 267, 29722, 281, 3131, 325, 1254, 4804, 15278, 267, 476, 3192, 280, 563, 294, 756, 5459, 267, 18496, 645, 269, 634, 4414, 14068, 613, 540, 595, 5971, 281, 4414, 1030, 1456, 519, 15552, 269, 11785, 281, 570, 3118, 928, 23255, 267, 476, 2735, 279, 563, 20181, 749, 267, 2549, 599, 269, 4985, 269, 634, 4518, 540, 15537, 595, 8735, 281, 968, 763, 4563, 681, 11107, 543, 4033, 20514, 1848, 1635, 15537, 595, 8735, 269, 5292, 269, 17886, 269, 476, 4572, 277, 269, 681, 696, 269, 538, 24531, 22439, 269, 12411, 476, 272, 269, 271, 269, 7131, 268, 15375, 269, 5489, 686, 582, 281, 717, 1446, 267, 476, 1960, 273, 563, 300, 698, 650, 267, 7671, 715, 1421, 7395, 650, 779, 11752, 281, 1977, 9085, 30527, 547, 476, 3707, 276, 269, 4993, 281, 30561, 4964, 267, 5549, 1421, 476, 3422, 274, 563, 310, 531, 12827, 339, 267, 8176, 595, 269, 15537, 595, 8735, 281, 7849, 626, 543, 6764, 1833, 626, 538, 1010, 1977, 16520, 7849, 1143, 267, 513, 667, 22866, 20837, 267, 2160, 540, 16506, 4964, 269, 476, 4198, 277, 269, 681, 696, 269, 538, 24531, 22439, 269, 12411, 476, 272, 269, 271, 7131, 268, 15375, 269, 5489, 686, 582, 281, 717, 1446, 267, 476, 1960, 273, 563, 310, 565, 5112, 267, 4258, 3122, 700, 269, 968, 3721, 1156, 595, 8735, 1848, 11879, 11752, 540, 7043, 11470, 269, 3798, 269, 7671, 715, 269, 7395, 650, 269, 2296, 5678, 10022, 269, 5292, 269, 476, 273, 269, 1621, 548, 6229, 1849, 14554, 267, 715, 12282, 12727, 30561, 4964, 267, 476, 1960, 272, 563, 23921, 5675, 6435, 888, 7476, 5955, 593, 8239, 267, 9355, 267, 6677, 1707, 543, 7954, 14678, 5861, 515, 1188, 707, 1957, 19314, 268, 769, 634, 4414, 14068, 613, 540, 595, 5971, 267, 15537, 595, 8735, 2982, 519, 2208, 540, 513, 1762, 812, 267, 8361, 267, 945, 568, 6766, 676, 1896, 824, 3197, 269, 634, 1032, 729, 476, 5908, 273, 543, 621, 729, 519, 1974, 540, 519, 6406, 2782, 269, 634, 1650, 6238, 693, 3781, 593, 513, 4411, 6640, 950, 519, 7952, 729, 16889, 538, 741, 512, 757, 267, 536, 16218, 267, 543, 1472, 519, 3786, 18394, 269, 1306, 13343, 1230, 330, 4802, 267, 945, 2663, 3587, 1634, 607, 519, 7381, 17199, 267, 729, 1127, 1010, 25099, 693, 519, 5757, 267, 646, 30650, 513, 15555, 528, 827, 519, 31458, 269, 1261, 678, 16640, 547, 2995, 1010, 635, 10232, 602, 519, 31458, 786, 1847, 519, 1985, 1554, 2807, 1496, 15912, 281, 5339, 2079, 2639, 10204, 275, 1913, 630, 275, 269, 280, 3817, 994, 268, 15552, 1143, 538, 4414, 14068, 613, 540, 595, 5971, 267, 17714, 781, 7736, 267, 543, 3204, 523, 3130, 634, 2856, 540, 5869, 1143, 568, 7683, 9687, 609, 942, 269, 634, 2757, 2856, 540, 5869, 1143, 267, 568, 6508, 689, 3504, 5259, 7506, 971, 607, 519, 1079, 2101, 12473, 9954, 267, 519, 594, 2993, 611, 543, 519, 31660, 269, 634, 29631, 4137, 540, 5869, 1143, 568, 1439, 15735, 609, 1390, 4222, 543, 2702, 267, 543, 540, 10143, 16350, 269, 1261, 6770, 22632, 543, 1035, 8010, 267, 543, 568, 25343, 585, 1010, 10100, 269, 901, 568, 519, 25264, 545, 4998, 602, 634, 4414, 14068, 613, 540, 595, 5971, 543, 17714, 781, 7736, 4485, 2807, 1496, 15912, 281, 6476, 5635, 4334, 3594, 2639, 13199, 278, 1913, 630, 274, 269, 276, 3817, 994, 268, 634, 4414, 14068, 613, 540, 595, 5971, 676, 15537, 595, 8735, 634, 1101, 3268, 538, 2112, 616, 519, 3268, 540, 20408, 519, 1899, 540, 4313, 676, 6061, 519, 1582, 19721, 4978, 602, 786, 2736, 596, 538, 513, 6370, 12506, 269, 4495, 20408, 1346, 25796, 7592, 543, 3494, 538, 3054, 267, 602, 568, 950, 835, 21707, 593, 519, 6370, 2361, 2807, 1496, 15912, 281, 31219, 2699, 3983, 613, 10100, 2639, 279, 3199, 1913, 630, 273, 269, 276, 3817, 994, 268, 634, 4414, 14068, 613, 540, 595, 5971, 910, 8361, 568, 3143, 15552, 769, 634, 4414, 14068, 613, 540, 595, 5971, 267, 15537, 595, 8735, 7710, 519, 6249, 540, 10100, 543, 5869, 1143, 538, 3178, 269, 1261, 10953, 891, 4798, 998, 519, 1292, 1915, 267, 8361, 18307, 2719, 269, 8361, 568, 513, 14255, 25771, 557, 1762, 812, 5185, 609, 519, 10792, 19178, 540, 2112, 267, 538, 713, 1433, 267, 930, 8044, 602, 8361, 568, 9927, 883, 513, 24123, 834, 638, 2884, 812, 3125, 257, 1247, 1866, 1294, 8361, 607, 519, 1482, 1762, 812, 945, 10443, 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 ]
[ 6793, 2208, 538, 24826, 543, 7694, 563, 289, 2784, 5112, 814, 11108, 6791, 538, 1018, 568, 1634, 607, 519, 2048, 15132, 983, 4346, 9957, 901, 568, 1759, 593, 519, 3741, 540, 8888, 856, 3653, 543, 5533, 267, 5329, 2472, 543, 2326, 538, 946, 543, 1036, 10273, 908, 2067, 1949, 269, 634, 2160, 540, 17659, 5112, 5189, 519, 1158, 779, 1101, 9764, 4346, 32233, 538, 476, 1001, 272, 267, 30015, 1053, 543, 13384, 1681, 4703, 609, 519, 1983, 547, 946, 2200, 543, 1648, 811, 3927, 267, 19074, 2472, 543, 2326, 543, 5838, 2799, 12434, 563, 2171, 723, 547, 581, 16529, 269, 634, 14643, 11643, 513, 1870, 2013, 547, 6554, 602, 6663, 547, 3142, 2157, 540, 9436, 8166, 547, 9167, 7182, 1369, 519, 20125, 2009, 942, 18134, 269, 3687, 8651, 723, 7608, 519, 1544, 543, 3177, 11278, 275, 332, 538, 3355, 7616, 547, 1376, 960, 269, 634, 1544, 786, 948, 6174, 12427, 547, 22010, 547, 7997, 4441, 267, 1489, 519, 5066, 13050, 540, 3167, 12123, 10473, 2066, 519, 8664, 267, 5000, 11878, 4687, 543, 1902, 538, 1668, 267, 4783, 543, 6972, 11507, 563, 290, 1735, 322, 650, 528, 8861, 12113, 1026, 344, 267, 14769, 23649, 585, 13245, 4658, 543, 13245, 23089, 693, 17659, 5112, 7027, 267, 1767, 281, 968, 18719, 1324, 938, 2011, 2298, 568, 513, 1360, 3978, 3390, 602, 12777, 3790, 2729, 1169, 1032, 543, 649, 616, 5462, 547, 1491, 2962, 269, 898, 25409, 5540, 811, 7925, 2950, 538, 938, 8664, 799, 568, 1946, 519, 2973, 2011, 7997, 543, 3606, 18747, 616, 865, 1271, 547, 1818, 17659, 5112, 513, 8902, 1747, 547, 2661, 267, 960, 543, 3643, 3034, 29820, 538, 17659, 5112, 267, 519, 21722, 1804, 8397, 1382, 10872, 267, 568, 26655, 3609, 1646, 543, 786, 20272, 519, 2360, 540, 519, 2973, 2011, 1544, 269, 3220, 14472, 773, 5062, 10376, 534, 267, 8689, 540, 18004, 538, 17659, 5112, 267, 1767, 281, 968, 2171, 2461, 10583, 602, 938, 18004, 538, 17659, 5112, 4681, 616, 4543, 519, 14643, 1265, 1007, 543, 16529, 2081, 540, 21365, 5533, 1369, 519, 8664, 543, 616, 4058, 606, 3078, 1007, 1382, 1788, 547, 6218, 519, 1764, 540, 519, 2973, 2011, 1544, 593, 2011, 2298, 543, 1072, 269, 1284, 786, 581, 2324, 609, 18004, 538, 17659, 5112, 3885, 2066, 519, 8664, 543, 2866, 909, 1153, 1453, 607, 2011, 2298, 2048, 31842, 714, 523, 3744, 685, 547, 948, 6895, 519, 2360, 593, 1072, 543, 8171, 3034, 27662, 532, 909, 938, 957, 786, 1491, 5021, 4674, 689, 1857, 267, 4357, 543, 3791, 5823, 543, 649, 786, 991, 3025, 779, 562, 4680, 15738, 538, 519, 1482, 4287, 269, 15775, 621, 1318, 786, 948, 1711, 513, 811, 8537, 4346, 602, 3025, 666, 8011, 538, 269, 0, 2862, 9391, 10854, 531, 648, 4975, 28941, 7732, 267, 3143, 476, 3192, 270, 3607, 267, 476, 273, 526, 6301, 267, 19759, 1662, 23186, 26196, 267, 10854, 531, 648, 910, 476, 28794, 24699, 267, 31016, 31540, 454, 266, 11011, 476, 3199, 268, 6858, 277, 271, 5780, 5780, 1401, 333, 269, 476, 5780, 272, 1923, 674, 1314, 1341, 11011, 476, 3199, 268, 26951, 12739, 1691, 1923, 4757, 11333, 2593, 454, 8139, 1480, 14498, 2433, 513, 1949, 1935, 547, 6940, 1315, 7917, 29325, 4252, 267, 31550, 1715, 749, 563, 3528, 281, 29325, 4252, 267, 7917, 563, 6944, 1026, 12460, 4433, 2567, 1715, 749, 267, 31550, 8160, 1468, 1826, 281, 3883, 21812, 281, 5507, 6902, 1715, 3840, 2433, 30296, 267, 476, 1001, 276, 20373, 281, 1535, 1460, 1421, 476, 20969, 533, 269, 2433, 2192, 269, 4786, 6902, 476, 2190, 4699, 269, 25835, 281, 476, 7818, 7277, 9032, 272, 4343, 274, 273, 630, 335, 321, 330, 4700, 282, 476, 7818, 7277, 9032, 272, 4343, 273, 276, 630, 327, 321, 330, 12175, 20428, 4433, 2567, 7186, 4534, 6356, 540, 1480, 7919, 593, 1923, 5274, 14498, 1923, 23270, 2359, 1923, 20885, 1923, 18904, 13543, 1315, 17905, 291, 17584, 8760, 281, 476, 19054, 269, 273, 667, 312, 289, 6732, 2200, 281, 7305, 540, 9115, 454, 347, 2005, 655, 1826, 1475, 14483, 4087, 1475, 24445, 1297, 1475, 1805, 9850, 1475, 14630, 1813, 1475, 289, 2117, 1712, 2008, 347, 9349, 1475, 24465, 4659, 585, 5274, 5590, 1479, 906, 267, 10854, 531, 648, 1475, 19054, 269, 273, 667, 312, 289, 476, 22650, 5611, 630, 289, 12864, 15808, 10534, 13510, 9005, 1475, 22650, 5611, 2008, 1103, 11079, 12190, 7240, 8100, 543, 4994, 563, 303, 1503, 4084, 281, 14520, 6764, 6372, 12085, 6969, 16505, 9724, 454, 8512, 476, 272, 281, 634, 7420, 476, 272, 269, 5274, 17905, 281, 1323, 5345, 6295, 2598, 23002, 476, 273, 1547, 4826, 4762, 26555, 538, 519, 16176, 344, 15142, 454, 8512, 476, 273, 281, 15154, 8625, 476, 274, 269, 15154, 8625, 476, 276, 269, 3590, 18868, 594, 910, 853, 4169, 543, 10046, 338, 476, 276, 269, 3590, 18868, 4083, 910, 24720, 476, 277, 269, 7010, 543, 20885, 476, 278, 269, 27870, 513, 32655, 11933, 3749, 17563, 454, 8512, 476, 274, 281, 12389, 538, 519, 19848, 18152, 476, 279, 269, 21537, 25125, 281, 14313, 602, 7827, 519, 2622, 476, 280, 269, 12389, 4270, 538, 519, 19848, 18152, 476, 1015, 269, 3117, 28366, 543, 6820, 5253, 7010, 476, 1556, 269, 19731, 1841, 540, 513, 9509, 3047, 454, 257, 5804, 2916, 1689, 547, 1158, 6710, 267, 649, 616, 4867, 6849, 513, 5318, 5044, 540, 1950, 2591, 799, 616, 851, 540, 606, 954, 5829, 1357, 540, 1514, 543, 2067, 1949, 269, 5274, 14498, 2488, 606, 1935, 547, 891, 2042, 267, 513, 1259, 547, 1174, 873, 2868, 12264, 543, 547, 4383, 873, 811, 3927, 269, 901, 1433, 3091, 513, 17396, 12497, 5943, 585, 5274, 17905, 910, 513, 2312, 1505, 585, 16208, 519, 1082, 1949, 649, 616, 851, 540, 543, 519, 2042, 649, 3068, 269, 2349, 2056, 2067, 267, 1514, 543, 5042, 9443, 609, 3846, 673, 1949, 3069, 267, 519, 1433, 3091, 1271, 1949, 4485, 585, 4896, 3168, 547, 4383, 891, 1950, 2042, 543, 519, 5912, 547, 6940, 257, 734, 0, 306, 663, 2988, 1080, 685, 723, 1185, 1776, 11112, 3018, 269, 1284, 723, 5059, 593, 938, 2591, 1565, 519, 3854, 4872, 540, 4789, 543, 10430, 269, 634, 1453, 2813, 513, 11600, 585, 513, 4829, 19997, 799, 649, 786, 581, 1818, 538, 519, 1985, 7008, 540, 4374, 543, 3379, 741, 6689, 338, 547, 741, 9835, 18499, 7234, 1018, 1185, 4957, 543, 18423, 519, 1482, 269, 769, 13004, 267, 649, 723, 4797, 1316, 2358, 1747, 1871, 609, 1312, 1032, 2516, 9236, 2338, 1210, 3152, 982, 267, 1447, 982, 543, 3160, 547, 6698, 269, 769, 2296, 267, 649, 723, 4797, 547, 1445, 593, 4845, 1603, 609, 5729, 476, 273, 779, 1210, 21371, 547, 909, 1377, 543, 5729, 476, 272, 779, 1210, 7990, 995, 5033, 24939, 563, 5970, 513, 17681, 15964, 256, 0, 268, 4208, 798, 17987, 25249, 5957, 11113, 888, 268, 1772, 17987, 15472, 5259, 888, 268, 4208, 616, 972, 17987, 25249, 693, 12311, 26204, 888, 268, 1684, 596, 723, 547, 581, 2960, 5500, 547, 17987, 7544, 888, 268, 4208, 568, 17987, 15472, 4847, 538, 519, 5664, 5101, 888, 268, 1879, 1705, 17987, 15472, 22132, 888, 268, 1772, 17987, 15472, 4498, 600, 888, 268, 4208, 798, 17987, 25249, 5957, 513, 3068, 1654, 559, 888, 268, 1548, 1281, 17987, 7544, 798, 585, 707, 1560, 888, 268, 1772, 621, 3771, 600, 547, 6432, 547, 2575, 538, 30782, 888, 268, 1772, 621, 3771, 600, 547, 2206, 8964, 888, 268, 5808, 729, 519, 1101, 17987, 15854, 1356, 888, 268, 5808, 568, 519, 1655, 17987, 15854, 1356, 538, 519, 1158, 888, 268, 4208, 798, 17987, 25249, 1397, 2960, 888, 268, 5808, 568, 519, 4583, 17987, 15854, 1356, 888, 268, 4208, 2575, 568, 24193, 538, 5771, 888, 268, 4208, 729, 17987, 15472, 2813, 888, 268, 4208, 1281, 1744, 752, 4275, 17987, 7544, 888, 268, 1772, 17987, 15472, 5906, 888, 268, 1548, 2197, 568, 1634, 585, 17987, 15472, 888, 268, 1548, 1281, 17987, 15472, 1611, 888, 3963, 798, 17987, 25249, 5957, 11113, 888, 2005, 568, 4277, 547, 917, 519, 9821, 3297, 713, 6752, 563, 763, 2596, 1650, 568, 607, 5205, 563, 306, 2210, 830, 538, 519, 2250, 267, 538, 519, 5664, 5101, 1141, 17987, 15472, 12090, 267, 1762, 543, 7365, 762, 2021, 1131, 7544, 585, 11113, 602, 941, 16207, 547, 873, 563, 5445, 1131, 1287, 18055, 891, 11113, 5196, 741, 25637, 10077, 1407, 267, 9494, 873, 585, 9419, 787, 10756, 3674, 17987, 15472, 5259, 888, 6624, 24085, 2161, 602, 17987, 7544, 2907, 11478, 538, 3504, 10255, 269, 2334, 3504, 5259, 2021, 1031, 621, 585, 10847, 532, 589, 874, 16967, 924, 630, 309, 523, 639, 1040, 1703, 949, 849, 723, 1044, 17987, 7544, 998, 5259, 10120, 2053, 563, 3963, 616, 972, 17987, 25249, 693, 12311, 26204, 888, 2005, 568, 4862, 4122, 693, 12311, 26204, 267, 4332, 17058, 267, 14773, 906, 540, 1434, 3377, 543, 3274, 513, 7772, 995, 4090, 538, 19771, 269, 769, 5617, 569, 667, 3496, 621, 568, 1031, 547, 2769, 7772, 693, 513, 11078, 15854, 1356, 779, 5898, 950, 15472, 610, 519, 15854, 1356, 9887, 786, 798, 513, 968, 345, 27895, 549, 7974, 892, 547, 1577, 856, 519, 1187, 543, 7772, 1352, 568, 4743, 538, 519, 4090, 563, 2710, 596, 723, 547, 581, 2960, 5500, 547, 17987, 7544, 888, 289, 11481, 7544, 568, 711, 16876, 547, 519, 1762, 610, 2960, 5500, 267, 543, 1082, 2021, 609, 513, 2942, 1560, 3239, 1451, 547, 2648, 741, 4703, 543, 1745, 10583, 540, 873, 998, 2921, 909, 17987, 7544, 269, 8617, 17987, 7544, 10953, 2178, 2612, 267, 855, 711, 513, 3670, 1790, 871, 563, 3963, 568, 17987, 15472, 4847, 538, 519, 5664, 5101, 888, 7212, 17987, 15472, 12090, 607, 513, 1514, 543, 4272, 2218, 7544, 267, 621, 2663, 2968, 24193, 538, 1857, 5624, 1317, 540, 9993, 593, 13156, 2021, 779, 4703, 269, 1306, 5664, 8109, 4529, 3262, 1472, 519, 1158, 998, 513, 29563, 267, 865, 1705, 519, 2259, 540, 17987, 15472, 563, 2691, 1705, 17987, 15472, 22132, 888, 289, 11481, 25249, 616, 2219, 547, 723, 2097, 547, 8050, 689, 26288, 538, 519, 942, 540, 519, 21265, 5974, 630, 1556, 628, 11416, 7460, 547, 476, 276, 628, 11416, 7460, 1040, 1879, 6259, 1920, 540, 519, 772, 16673, 344, 611, 3357, 547, 8050, 267, 789, 2366, 5178, 4302, 2206, 619, 543, 25249, 547, 12456, 2444, 639, 543, 5527, 585, 2866, 538, 519, 5664, 8109, 2511, 563, 3674, 17987, 15472, 4498, 600, 888, 289, 11481, 15472, 568, 10691, 3771, 600, 269, 2560, 4706, 3771, 600, 547, 1397, 707, 1560, 538, 4395, 540, 2367, 945, 616, 711, 1644, 547, 596, 538, 1022, 1259, 269, 901, 814, 4986, 547, 798, 609, 17987, 15472, 1498, 269, 1717, 17987, 15472, 1281, 2154, 547, 5957, 8766, 7802, 543, 621, 779, 3833, 16770, 10694, 865, 602, 779, 1946, 12356, 666, 1152, 798, 621, 538, 4395, 540, 741, 10067, 2449, 563, 3963, 798, 17987, 25249, 5957, 513, 3068, 1654, 559, 888, 9961, 519, 1686, 540, 519, 17987, 7544, 267, 1654, 2812, 723, 1044, 12816, 547, 10703, 531, 519, 1560, 267, 799, 23327, 1312, 14920, 543, 1158, 17349, 269, 769, 7332, 2486, 267, 2413, 6259, 2021, 616, 1869, 2838, 547, 5957, 1654, 2812, 538, 24150, 547, 5771, 563, 1432, 1281, 17987, 7544, 798, 585, 707, 1560, 888, 7437, 922, 12048, 5322, 543, 3532, 695, 9404, 625, 267, 17987, 7544, 1568, 593, 707, 4295, 6091, 543, 7512, 596, 547, 9784, 707, 14258, 269, 3414, 922, 12048, 5322, 543, 3532, 695, 9404, 625, 267, 17987, 7544, 1568, 593, 707, 4295, 6091, 543, 7512, 596, 547, 9784, 707, 14258, 563, 3674, 621, 3771, 600, 547, 6432, 547, 2575, 538, 30782, 888, 4913, 267, 538, 476, 1220, 276, 267, 513, 30782, 3391, 3370, 538, 18917, 2829, 602, 6947, 547, 2575, 267, 2059, 609, 824, 2238, 899, 8384, 7641, 543, 4730, 4604, 3756, 267, 616, 17049, 1282, 519, 10513, 13600, 563, 3674, 621, 3771, 600, 547, 2206, 8964, 888, 5278, 12356, 3494, 602, 1152, 13047, 2575, 568, 7989, 24777, 630, 15595, 531, 264, 543, 602, 7405, 616, 24193, 630, 9618, 600, 1040, 9747, 972, 568, 513, 2178, 2245, 540, 513, 1309, 653, 7578, 1821, 10899, 13465, 269, 8616, 930, 12356, 3494, 602, 1022, 6293, 568, 1876, 995, 607, 1279, 607, 621, 568, 1031, 585, 519, 7989, 24777, 5686, 540, 2575, 563, 8005, 729, 519, 1101, 17987, 15854, 1356, 888, 11771, 1231, 538, 5527, 634, 1101, 17987, 25249, 941, 513, 1895, 540, 10707, 25249, 1634, 607, 519, 575, 24849, 1794, 2465, 269, 1452, 2021, 941, 2808, 14934, 1186, 625, 538, 5527, 538, 519, 476, 1240, 628, 2540, 267, 543, 941, 7333, 1639, 689, 595, 23879, 1282, 519, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 5539, 585, 875, 621, 5222, 9344, 267, 3785, 543, 1620, 540, 11810, 267, 2979, 610, 1022, 824, 1641, 269, 769, 2110, 267, 946, 713, 3135, 20617, 676, 15819, 543, 2357, 4328, 3388, 269, 1403, 596, 1294, 1945, 602, 568, 11234, 267, 3346, 721, 1318, 2476, 865, 602, 649, 666, 2953, 621, 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 ]
[ 0, 1626, 628, 5147, 476, 1220, 271, 454, 20597, 663, 752, 636, 4673, 543, 15576, 31804, 4821, 454, 2005, 568, 1134, 1634, 602, 16310, 13221, 519, 1381, 540, 513, 1297, 540, 10971, 3029, 606, 1271, 851, 540, 16429, 327, 8403, 3909, 2259, 269, 769, 1034, 540, 519, 4505, 2090, 593, 713, 1641, 267, 621, 568, 10645, 602, 834, 289, 3291, 11297, 543, 18420, 2291, 2427, 676, 2427, 257, 610, 602, 834, 23895, 14125, 13221, 568, 791, 675, 1317, 1934, 13221, 814, 711, 25436, 17660, 519, 1381, 338, 540, 519, 10971, 1701, 1452, 5784, 616, 267, 540, 1576, 267, 22801, 269, 834, 8469, 2787, 593, 519, 10971, 257, 3029, 606, 1271, 851, 540, 14418, 2259, 2094, 519, 2038, 1974, 269, 7073, 1382, 814, 3964, 602, 519, 16429, 327, 8403, 4984, 4564, 606, 834, 15759, 3603, 3909, 1062, 257, 538, 799, 13221, 607, 1134, 607, 519, 1381, 540, 519, 10971, 723, 741, 1134, 3989, 1747, 563, 763, 1381, 540, 519, 10971, 538, 16444, 20092, 814, 1044, 6766, 676, 18420, 540, 3127, 2429, 519, 5553, 269, 1656, 972, 616, 1082, 954, 30447, 540, 519, 1381, 338, 540, 519, 10971, 540, 16444, 20092, 543, 2038, 3162, 4095, 4984, 563, 2005, 568, 1134, 1634, 602, 519, 667, 9545, 22941, 9082, 540, 3162, 3127, 723, 3144, 936, 543, 15849, 23624, 1898, 2609, 540, 2022, 13305, 14037, 4984, 540, 3345, 3127, 1282, 513, 1279, 1184, 540, 7004, 269, 901, 1184, 540, 519, 865, 10777, 834, 295, 8114, 1436, 257, 540, 3162, 3127, 3323, 811, 982, 476, 1220, 271, 1296, 3516, 543, 267, 607, 513, 1267, 267, 2147, 3909, 2853, 3262, 936, 782, 2694, 540, 3127, 563, 18661, 4427, 19207, 28236, 320, 4249, 513, 7986, 851, 538, 3162, 4095, 4984, 547, 713, 1554, 269, 769, 2413, 20474, 4984, 267, 646, 568, 519, 25976, 2034, 538, 7584, 1310, 590, 10216, 5128, 269, 3571, 1034, 2442, 20474, 2012, 568, 12653, 340, 1146, 563, 1103, 4207, 3162, 4095, 4984, 267, 646, 568, 2808, 607, 1412, 306, 10216, 781, 12312, 8339, 7102, 21233, 540, 519, 1271, 695, 21218, 540, 4427, 19207, 28236, 320, 610, 12653, 340, 1146, 786, 5469, 602, 1034, 540, 519, 811, 4583, 695, 21218, 540, 713, 5601, 616, 13883, 593, 519, 1283, 540, 15113, 269, 1325, 2819, 538, 519, 2038, 4540, 6648, 538, 17192, 540, 713, 5601, 267, 519, 570, 597, 636, 584, 4157, 520, 745, 653, 1092, 328, 540, 26981, 330, 597, 541, 513, 1297, 540, 695, 21218, 13883, 593, 15113, 610, 538, 7823, 4525, 616, 5018, 563, 2005, 568, 24080, 7608, 538, 3162, 3127, 602, 4427, 19207, 28236, 320, 568, 18864, 3116, 982, 519, 3345, 4095, 5601, 918, 691, 339, 833, 5984, 610, 4787, 663, 752, 636, 4673, 269, 918, 691, 339, 833, 5984, 568, 519, 5601, 540, 2112, 269, 4475, 267, 646, 729, 519, 7957, 10696, 5601, 540, 513, 1297, 540, 2112, 3697, 15438, 543, 30552, 770, 625, 269, 769, 519, 1101, 543, 2034, 5553, 589, 6185, 269, 1010, 1381, 729, 1316, 2213, 538, 1585, 2694, 540, 7187, 3127, 269, 4787, 7701, 568, 13269, 593, 513, 1297, 540, 4154, 11113, 540, 519, 918, 639, 3570, 1974, 269, 769, 519, 5339, 2959, 540, 7187, 3127, 267, 646, 568, 5702, 2404, 609, 590, 10216, 269, 1717, 267, 4787, 7701, 814, 711, 7283, 835, 540, 519, 5963, 2442, 10971, 540, 3345, 3127, 267, 855, 646, 568, 2356, 2808, 547, 581, 835, 540, 519, 17071, 24587, 269, 769, 519, 4583, 16130, 1404, 6004, 322, 577, 330, 520, 11986, 267, 4787, 7701, 568, 5189, 607, 519, 19121, 540, 519, 555, 773, 1407, 269, 769, 19377, 267, 4787, 7701, 568, 2808, 607, 519, 5601, 540, 519, 555, 773, 1407, 1256, 2221, 563, 763, 1360, 11495, 3017, 1063, 519, 3345, 4095, 4787, 663, 752, 636, 4673, 543, 519, 3162, 4095, 4427, 19207, 28236, 320, 2306, 621, 2352, 547, 3494, 602, 891, 10971, 910, 24392, 4857, 538, 519, 1576, 540, 942, 910, 723, 1044, 9838, 689, 519, 1360, 4098, 563, 2704, 2819, 5640, 540, 519, 476, 866, 628, 2540, 267, 552, 3052, 269, 11184, 3933, 1512, 8862, 650, 3554, 338, 267, 723, 6829, 22027, 269, 769, 1010, 14216, 9947, 613, 516, 18420, 639, 3967, 717, 25352, 849, 814, 6829, 519, 6644, 602, 519, 17748, 540, 4427, 19207, 28236, 320, 568, 711, 513, 3162, 4095, 1646, 540, 3345, 4095, 918, 691, 339, 833, 5984, 855, 513, 3162, 4095, 5601, 945, 814, 1044, 4857, 609, 519, 3345, 4095, 5601, 538, 519, 1576, 540, 942, 563, 20597, 7701, 568, 1101, 1336, 538, 519, 24622, 2532, 7701, 1895, 1927, 609, 1010, 3237, 267, 590, 10216, 543, 3474, 341, 10620, 269, 634, 9000, 540, 2038, 4787, 7701, 2592, 568, 11495, 1317, 513, 1297, 540, 2038, 623, 718, 6072, 17710, 4646, 741, 4408, 676, 4946, 519, 4408, 540, 5601, 4787, 7701, 610, 918, 636, 4673, 267, 3976, 6029, 602, 789, 941, 26902, 26802, 540, 4787, 7701, 563, 4913, 267, 519, 6476, 540, 519, 3162, 4095, 4427, 19207, 28236, 320, 610, 12653, 340, 1146, 609, 519, 7222, 5601, 540, 519, 16429, 327, 8403, 20562, 515, 517, 18327, 5363, 547, 4194, 519, 678, 1497, 563, 2005, 729, 513, 2647, 1606, 7331, 2259, 540, 519, 6844, 327, 1235, 547, 12314, 519, 1381, 540, 10971, 609, 13221, 676, 1259, 540, 17691, 269, 4340, 547, 2038, 2442, 4978, 267, 519, 17700, 5128, 1185, 2097, 547, 16444, 20092, 543, 10736, 519, 3504, 10971, 540, 713, 6816, 883, 14418, 4691, 601, 776, 10971, 269, 769, 519, 10067, 822, 4461, 320, 476, 278, 269, 276, 649, 1265, 519, 2245, 602, 519, 17700, 1500, 772, 653, 531, 822, 13860, 519, 19121, 5601, 540, 519, 6816, 269, 769, 2413, 267, 2053, 267, 772, 653, 531, 822, 13860, 610, 5455, 592, 7079, 568, 2808, 9838, 609, 31155, 20692, 269, 901, 8446, 568, 267, 2705, 267, 26483, 2487, 607, 621, 729, 3254, 676, 590, 269, 3474, 534, 822, 527, 3570, 269, 769, 519, 4505, 2245, 267, 5455, 592, 7079, 543, 31155, 20692, 941, 1079, 1114, 10971, 563, 10000, 592, 7079, 20705, 547, 513, 1895, 540, 834, 27917, 1390, 10971, 2580, 543, 1142, 540, 891, 2185, 10971, 729, 519, 19121, 540, 513, 1978, 851, 540, 519, 6816, 269, 2755, 5455, 592, 7079, 729, 519, 1101, 540, 891, 10971, 267, 519, 5601, 540, 15576, 31804, 4821, 729, 2034, 538, 7584, 269, 4595, 519, 476, 1691, 628, 2540, 649, 666, 10250, 519, 8446, 540, 519, 5601, 540, 15576, 31804, 4821, 609, 519, 4095, 5601, 4787, 663, 752, 636, 4673, 610, 4427, 19207, 28236, 320, 269, 15576, 31804, 4821, 729, 519, 2868, 5006, 1747, 540, 10847, 540, 713, 5601, 267, 543, 519, 2012, 540, 713, 1747, 814, 1831, 519, 2012, 540, 519, 5601, 5128, 563, 5591, 824, 5601, 2443, 5310, 609, 519, 1152, 9868, 540, 5455, 592, 7079, 2443, 568, 5018, 607, 1419, 607, 519, 5601, 540, 15576, 31804, 4821, 538, 16429, 327, 8403, 5339, 2959, 269, 634, 6022, 328, 12225, 1834, 29883, 752, 15401, 8932, 540, 13158, 333, 777, 13860, 630, 1428, 628, 2540, 264, 689, 590, 3554, 19528, 713, 5601, 896, 519, 2012, 540, 918, 1002, 32002, 4821, 563, 27144, 12928, 2135, 630, 1704, 628, 2540, 264, 3947, 606, 12705, 540, 519, 2956, 540, 519, 1381, 540, 15576, 31804, 4821, 538, 1010, 942, 950, 646, 11339, 602, 18864, 2443, 711, 1256, 519, 10782, 14763, 540, 519, 16429, 327, 8403, 4622, 2443, 1131, 546, 732, 547, 948, 519, 14082, 610, 519, 10656, 547, 7001, 713, 1747, 540, 10847, 269, 1284, 723, 547, 1039, 519, 7415, 1249, 602, 15576, 31804, 4821, 568, 519, 1152, 5601, 1455, 547, 519, 4984, 540, 519, 28174, 323, 553, 543, 547, 602, 540, 519, 16429, 327, 8403, 1004, 563, 1103, 519, 1292, 11454, 540, 15576, 31804, 4821, 267, 519, 5601, 568, 711, 6719, 676, 606, 3239, 267, 855, 676, 513, 586, 656, 571, 269, 3571, 17633, 538, 16444, 20092, 616, 2344, 676, 2699, 17514, 6466, 1346, 540, 5455, 592, 7079, 616, 2344, 676, 4544, 17514, 563, 2026, 835, 1058, 2503, 267, 972, 616, 1082, 17591, 532, 5389, 7282, 519, 1686, 540, 519, 5601, 540, 15576, 31804, 4821, 269, 3509, 540, 891, 941, 6394, 543, 3370, 538, 1134, 8153, 1395, 1748, 593, 15576, 31804, 4821, 676, 6754, 654, 597, 345, 269, 3509, 540, 891, 5389, 616, 3362, 6444, 607, 3144, 936, 689, 3127, 693, 513, 26483, 3735, 1974, 563, 3080, 540, 519, 1079, 24726, 540, 519, 5601, 568, 540, 3345, 4095, 5169, 267, 1932, 267, 642, 714, 269, 8061, 553, 6511, 267, 8061, 553, 6511, 568, 4986, 855, 513, 1268, 2305, 540, 519, 7952, 540, 519, 10971, 3366, 676, 4787, 7701, 269, 634, 1381, 540, 8061, 553, 6511, 729, 4547, 547, 9919, 14125, 607, 3735, 607, 538, 519, 1101, 3368, 540, 519, 476, 1704, 628, 2540, 676, 513, 3345, 4095, 19366, 267, 918, 3315, 534, 698, 21105, 563, 763, 5389, 7282, 519, 824, 7385, 540, 15576, 31804, 4821, 2705, 267, 4866, 547, 519, 6006, 540, 6805, 5389, 269, 4340, 547, 891, 4978, 267, 519, 5601, 10272, 15576, 31804, 4821, 538, 1931, 547, 19533, 513, 28174, 6767, 8004, 3957, 966, 718, 328, 2549, 2742, 563, 2252, 649, 5635, 15576, 31804, 4821, 538, 16429, 327, 8403, 4984, 609, 4427, 19207, 28236, 320, 538, 20474, 4984, 267, 649, 1265, 930, 1271, 3604, 269, 769, 9919, 14125, 267, 15576, 31804, 4821, 12851, 547, 513, 1895, 540, 2185, 10971, 519, 19466, 540, 799, 568, 772, 653, 531, 822, 13860, 267, 6466, 538, 3162, 3127, 267, 4427, 19207, 28236, 320, 568, 519, 2034, 5601, 543, 5067, 540, 590, 10216, 543, 1281, 711, 4866, 547, 513, 1134, 3989, 1895, 540, 2185, 1390, 10971, 563, 1607, 3017, 5161, 267, 2705, 267, 1152, 1063, 2413, 16429, 327, 8403, 4984, 543, 2413, 20474, 4984, 269, 898, 1705, 711, 2291, 538, 606, 4505, 1974, 607, 649, 666, 1294, 689, 6196, 20474, 3332, 269, 769, 519, 9998, 20474, 18340, 960, 267, 570, 13083, 1952, 12011, 600, 630, 303, 528, 592, 520, 1731, 541, 600, 476, 276, 264, 513, 1895, 540, 2185, 10971, 568, 5018, 269, 1452, 2185, 10971, 1095, 728, 936, 519, 2185, 4525, 540, 519, 2197, 269, 2904, 517, 936, 519, 3148, 540, 7733, 282, 595, 5674, 517, 936, 519, 3148, 540, 15113, 282, 20764, 534, 936, 519, 10034, 4721, 267, 543, 24430, 684, 534, 936, 519, 4262, 18396, 770, 563, 309, 541, 10044, 568, 519, 1152, 835, 540, 891, 945, 814, 513, 16130, 2012, 282, 538, 12473, 16130, 3332, 646, 568, 519, 5601, 540, 519, 4262, 267, 6466, 538, 966, 14037, 3332, 267, 24430, 10044, 729, 519, 5207, 5601, 269, 20764, 534, 568, 4857, 607, 1473, 571, 676, 519, 6085, 2209, 563, 2467, 568, 2443, 607, 649, 666, 1294, 689, 519, 8100, 2016, 2443, 16726, 540, 2038, 20474, 4984, 609, 16429, 327, 8403, 4984, 538, 930, 1271, 3344, 269, 589, 1895, 540, 2185, 10971, 14014, 519, 1114, 2694, 540, 519, 2197, 269, 2904, 517, 899, 772, 653, 531, 822, 13860, 814, 519, 1101, 543, 595, 5674, 517, 899, 15576, 31804, 4821, 814, 519, 2034, 7584, 538, 713, 1895, 269, 2904, 517, 899, 772, 653, 531, 822, 13860, 568, 6353, 676, 4544, 7990, 269, 595, 5674, 517, 899, 15576, 31804, 4821, 676, 2699, 7990, 269, 595, 5674, 517, 607, 1134, 607, 15576, 31804, 4821, 568, 519, 5601, 540, 519, 15113, 563, 2467, 568, 29077, 538, 1082, 824, 2081, 1932, 267, 552, 3052, 269, 519, 966, 718, 328, 268, 10397, 10828, 269, 15576, 31804, 4821, 1336, 1010, 7385, 966, 718, 328, 689, 519, 26570, 1004, 540, 519, 28174, 323, 553, 267, 543, 13974, 267, 12653, 340, 1146, 610, 595, 5674, 517, 9310, 966, 718, 328, 689, 519, 26570, 12563, 540, 3162, 4095, 15113, 454, 4322, 1455, 4162, 540, 16429, 327, 8403, 543, 2038, 20474, 269, 4984, 3100, 547, 581, 4505, 982, 519, 8446, 540, 12653, 340, 1146, 543, 15576, 31804, 4821, 609, 519, 3345, 4095, 4787, 663, 752, 636, 4673, 563, 3080, 1223, 1843, 547, 713, 602, 519, 3791, 543, 519, 8772, 540, 519, 834, 27917, 4279, 29331, 257, 538, 16429, 327, 8403, 543, 538, 2025, 20474, 2245, 616, 711, 9838, 269, 1809, 621, 666, 581, 3254, 602, 2663, 1381, 338, 723, 19774, 519, 3312, 10971, 538, 1312, 5389, 269, 769, 16429, 327, 8403, 1202, 18587, 267, 552, 3052, 269, 538, 519, 700, 1678, 520, 559, 10440, 30115, 540, 13225, 12320, 3570, 1731, 629, 24660, 10001, 630, 16328, 272, 268, 13670, 279, 264, 519, 2185, 10971, 616, 5455, 592, 7079, 267, 918, 663, 752, 636, 4673, 267, 5681, 3570, 543, 966, 756, 20130, 3570, 269, 769, 519, 29883, 752, 15401, 8932, 649 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 553, 10967, 2617, 320, 30161, 8531, 514, 537, 1562, 10628, 267, 286, 578, 19925, 534, 1515, 325, 11798, 543, 5679, 12177, 538, 13674, 9817, 723, 538, 8471, 286, 634, 4890, 543, 3114, 6127, 538, 1840, 547, 519, 7306, 540, 1346, 2994, 616, 5266, 1019, 286, 5166, 269, 1924, 616, 519, 18144, 585, 1565, 873, 2172, 328, 286, 322, 958, 269, 634, 1390, 268, 5216, 562, 13960, 568, 513, 5687, 334, 5991, 13086, 16411, 593, 513, 4336, 540, 476, 1015, 4699, 269, 8330, 5268, 903, 27913, 3801, 547, 10146, 873, 538, 606, 4674, 547, 1205, 8226, 883, 3119, 5321, 540, 519, 7122, 269, 769, 7790, 3298, 5180, 2011, 325, 334, 2812, 540, 4853, 2011, 4802, 619, 593, 519, 4336, 540, 1614, 476, 1015, 4699, 9983, 6329, 1491, 1747, 602, 538, 286, 340, 775, 519, 8669, 1465, 540, 519, 12209, 538, 1840, 547, 3154, 6981, 538, 7790, 697, 269, 901, 7125, 585, 11807, 11768, 540, 519, 1106, 543, 11156, 540, 2011, 325, 334, 2812, 998, 8030, 269, 12928, 12177, 4523, 538, 13674, 267, 513, 3114, 476, 272, 4480, 267, 543, 814, 547, 581, 6854, 2476, 689, 1317, 621, 14796, 26873, 269, 519, 7516, 568, 476, 1015, 4699, 543, 1346, 4485, 2115, 547, 581, 20979, 585, 552, 286, 857, 1890, 543, 2825, 931, 728, 268, 512, 687, 269, 519, 6093, 8142, 568, 602, 519, 5817, 7790, 340, 573, 7790, 3298, 949, 5310, 693, 513, 26837, 4192, 4336, 540, 6376, 581, 3989, 676, 1259, 540, 9247, 606, 26922, 2186, 540, 5409, 26382, 521, 268, 1661, 338, 540, 9864, 1019, 286, 22460, 4834, 538, 27754, 3337, 267, 5219, 547, 607, 5726, 9086, 269, 8330, 5268, 903, 27913, 267, 8030, 543, 22697, 6871, 513, 3044, 7279, 538, 2172, 328, 286, 322, 2208, 593, 2219, 585, 1346, 4834, 543, 519, 6454, 540, 12985, 2645, 585, 3681, 540, 519, 4834, 269, 1317, 540, 741, 5318, 31675, 538, 9781, 540, 2585, 320, 267, 9864, 1019, 286, 22460, 4834, 732, 600, 1994, 286, 15505, 1993, 516, 14142, 514, 3901, 24136, 269, 1306, 889, 560, 656, 658, 15251, 1993, 6310, 4983, 568, 1767, 547, 519, 1382, 543, 10230, 19406, 540, 7840, 547, 971, 4834, 269, 15214, 26382, 5726, 9086, 538, 610, 3063, 22274, 574, 5014, 560, 650, 2821, 821, 21510, 1335, 664, 577, 718, 1263, 652, 558, 617, 1716, 3901, 24136, 563, 5649, 6732, 610, 8281, 5811, 543, 23168, 923, 585, 11094, 16572, 7300, 454, 16032, 10203, 1299, 1003, 3130, 2835, 454, 1607, 552, 26247, 3091, 609, 519, 10230, 1382, 543, 2500, 10230, 16185, 540, 1164, 8820, 29398, 9001, 23661, 21870, 543, 1114, 10155, 30150, 5610, 7840, 609, 5301, 547, 8804, 543, 3795, 269, 634, 552, 26247, 24870, 538, 5356, 4030, 883, 519, 5872, 1851, 11282, 7648, 267, 14984, 7516, 543, 519, 19427, 7180, 540, 23661, 7470, 2645, 563, 763, 2856, 540, 5487, 2897, 7004, 568, 513, 2629, 513, 851, 540, 519, 6310, 3140, 2250, 2838, 585, 8030, 267, 21575, 543, 22697, 269, 5487, 2897, 7004, 2645, 3761, 4674, 1652, 543, 3532, 10372, 585, 21338, 1082, 7965, 27342, 6883, 909, 538, 513, 1297, 540, 4610, 540, 2029, 543, 4702, 267, 4481, 585, 21338, 11186, 4834, 563, 1607, 10367, 1058, 1869, 1599, 606, 2606, 21849, 1543, 585, 10927, 5640, 543, 3173, 5665, 1369, 519, 1360, 1271, 7997, 540, 9864, 11186, 4834, 609, 513, 30425, 593, 7965, 1644, 547, 5726, 9086, 269, 519, 835, 991, 995, 585, 519, 5467, 568, 513, 1239, 540, 519, 4674, 1652, 2856, 540, 9864, 11186, 4834, 563, 268, 19556, 13088, 585, 4578, 14086, 281, 5590, 7869, 267, 3487, 658, 2107, 10249, 267, 10395, 13541, 923, 454, 268, 5695, 321, 12040, 8928, 2433, 3631, 543, 6323, 454, 268, 31592, 21290, 540, 7256, 31515, 454, 268, 31592, 6128, 543, 4359, 3156, 281, 18619, 540, 13673, 9331, 26059, 476, 1220, 276, 454, 268, 7073, 4294, 7194, 609, 590, 454, 21206, 2200, 585, 5811, 543, 23168, 923, 585, 11094, 16572, 454, 290, 817, 8014, 630, 32459, 17662, 267, 7330, 1070, 661, 269, 932, 537, 324, 21105, 630, 32459, 17662, 267, 7330, 1070, 595, 269, 23081, 997, 328, 630, 289, 657, 577, 267, 853, 18636, 326, 691, 1070, 589, 269, 661, 828, 548, 630, 292, 4696, 306, 267, 22540, 1070, 772, 269, 594, 17754, 630, 289, 657, 577, 267, 853, 18636, 326, 691, 1070, 590, 269, 808, 731, 514, 630, 32459, 17662, 267, 7330, 1070, 670, 269, 918, 2801, 653, 601, 518, 630, 1805, 18636, 326, 691, 1070, 589, 269, 918, 617, 903, 630, 32459, 17662, 267, 7330, 1070, 589, 269, 918, 3421, 23364, 990, 630, 300, 657, 330, 879, 267, 6576, 1070, 589, 269, 2725, 3563, 630, 299, 382, 357, 579, 20198, 1070, 717, 269, 1107, 291, 269, 16189, 345, 630, 1805, 18636, 326, 691, 1070, 623, 269, 21208, 31772, 4157, 630, 291, 637, 6577, 1070, 918, 269, 590, 1678, 15546, 630, 32459, 17662, 267, 7330, 1070, 570, 269, 12312, 541, 630, 24154, 12584, 577, 933, 580, 1070, 717, 269, 2782, 31037, 651, 630, 300, 698, 1372, 7921, 264, 543, 654, 269, 654, 754, 1633, 630, 1805, 18636, 326, 691, 264, 585, 741, 11428, 267, 741, 9639, 543, 741, 1489, 540, 938, 1788, 563, 4517, 516, 2801, 267, 808, 269, 11831, 10458, 267, 590, 269, 21007, 14525, 8431, 269, 476, 1240, 269, 18104, 1871, 540, 6991, 609, 703, 19838, 1537, 268, 2017, 1407, 269, 8431, 269, 476, 866, 269, 1772, 565, 1149, 540, 7557, 1297, 282, 2577, 6565, 630, 916, 1070, 1793, 328, 680, 710, 630, 16435, 1040, 23027, 22948, 693, 3955, 5865, 8431, 269, 476, 2641, 269, 23027, 6384, 693, 1535, 14289, 585, 782, 17223, 942, 3268, 269, 476, 2537, 476, 2190, 590, 269, 27055, 2801, 267, 808, 269, 11831, 10458, 267, 590, 269, 2433, 310, 1511, 9259, 693, 5277, 1606, 13521, 17103, 269, 2433, 1744, 1442, 23027, 1234, 23807, 480, 1254, 26263, 1580, 320, 269, 2433, 18868, 540, 8955, 8114, 1027, 8883, 2787, 18616, 2282, 606, 13412, 10465, 269, 808, 269, 2433, 18868, 540, 8955, 8114, 1027, 8883, 2787, 18616, 2282, 13412, 6302, 281, 538, 23807, 480, 340, 775, 540, 519, 13412, 29870, 563, 301, 5416, 1070, 642, 535, 630, 320, 267, 642, 264, 323, 274, 642, 815, 476, 271, 1547, 630, 1789, 264, 561, 305, 274, 769, 713, 1957, 649, 616, 5461, 538, 519, 2013, 540, 1507, 12928, 644, 11420, 1297, 476, 273, 2073, 609, 519, 22441, 540, 3980, 480, 394, 358, 1373, 1804, 3379, 547, 1547, 1306, 729, 9916, 538, 2073, 519, 5236, 361, 480, 578, 949, 581, 10920, 12723, 883, 513, 6094, 15452, 10465, 4494, 630, 5976, 513, 11098, 3980, 376, 476, 273, 3738, 799, 568, 14013, 4330, 676, 513, 1970, 1931, 23664, 6975, 7269, 630, 663, 3976, 676, 519, 5276, 1242, 12157, 16379, 10458, 3830, 1070, 513, 1471, 32654, 10465, 4494, 630, 5976, 11098, 3980, 376, 16532, 543, 606, 9018, 6389, 1134, 4330, 676, 519, 25586, 4834, 269, 2290, 540, 519, 6859, 540, 519, 1957, 568, 519, 23993, 540, 519, 15452, 10465, 4494, 547, 519, 1471, 32654, 4494, 563, 268, 8281, 634, 2634, 1510, 5135, 281, 3123, 540, 5821, 734, 31850, 8344, 676, 623, 11482, 269, 700, 583, 345, 267, 717, 9950, 269, 715, 559, 26856, 267, 670, 8160, 269, 623, 1370, 823, 7300, 454, 268, 8281, 634, 9697, 5808, 645, 3754, 13560, 519, 5600, 676, 700, 27482, 12722, 4858, 684, 7300, 0, 268, 8899, 4222, 16894, 912, 268, 23582, 4882, 534, 3202, 21137, 689, 476, 276, 1107, 476, 2004, 267, 1822, 332, 274, 27473, 563, 268, 24184, 10040, 267, 5010, 1950, 267, 6413, 267, 1153, 267, 15678, 267, 13962, 563, 268, 11633, 6288, 267, 12051, 267, 5604, 2679, 563, 268, 23076, 543, 1668, 12363, 563, 268, 23839, 4222, 16894, 912, 268, 30094, 1137, 281, 2571, 4235, 4420, 1782, 267, 1786, 342, 2044, 267, 1253, 20455, 563, 268, 5253, 281, 666, 940, 267, 10683, 267, 10286, 267, 5779, 24386, 267, 16738, 563, 268, 17240, 335, 543, 1957, 563, 268, 7956, 850, 281, 6926, 2286, 267, 10085, 4370, 543, 8228, 563, 268, 4400, 4222, 16894, 912, 268, 12113, 7695, 281, 1426, 543, 1253, 20455, 563, 268, 17667, 6464, 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 ]
[ 1708, 272, 267, 476, 279, 267, 476, 1556, 994, 15120, 822, 1066, 328, 298, 2088, 815, 30220, 263, 1708, 272, 267, 476, 280, 267, 476, 272, 994, 335, 9926, 611, 990, 1415, 303, 665, 564, 8266, 31343, 815, 703, 9272, 2891, 313, 1228, 329, 1093, 25155, 564, 561, 6403, 560, 330, 385, 363, 281, 834, 11723, 604, 1093, 345, 611, 990, 1415, 291, 523, 301, 822, 4614, 11803, 298, 2088, 2999, 522, 974, 341, 1066, 328, 298, 2088, 912, 476, 1820, 2891, 298, 3626, 14247, 1990, 822, 385, 503, 523, 334, 23528, 19197, 1093, 345, 611, 990, 1415, 291, 523, 301, 822, 4614, 11803, 298, 2088, 2999, 1990, 659, 622, 330, 299, 5271, 928, 329, 19561, 5353, 345, 3415, 912, 476, 524, 6511, 313, 320, 309, 560, 1575, 523, 31343, 815, 476, 7742, 454, 476, 1820, 6600, 257, 290, 6511, 1990, 320, 642, 560, 1575, 523, 5652, 14247, 2715, 322, 6511, 313, 320, 309, 560, 1575, 523, 31343, 2608, 1093, 345, 611, 990, 1415, 303, 665, 564, 8266, 31343, 7684, 23528, 19197, 1093, 345, 611, 990, 1415, 291, 523, 301, 822, 4614, 11803, 298, 2088, 2999, 579, 345, 822, 1066, 328, 298, 2088, 912, 476, 524, 6511, 313, 320, 309, 560, 1575, 523, 31343, 815, 476, 5197, 454, 476, 1820, 6600, 257, 290, 6511, 1990, 320, 642, 560, 1575, 523, 5652, 14247, 2715, 322, 6511, 313, 320, 309, 560, 1575, 523, 31343, 2608, 1093, 345, 611, 990, 1415, 303, 665, 564, 8266, 31343, 7684, 23528, 12828, 912, 476, 1820, 2891, 298, 3626, 14247, 579, 345, 822, 385, 503, 523, 334, 1701, 264, 0, 258, 7383, 21267, 28272, 607, 12301, 1477, 5814, 21267, 28272, 607, 12301, 5897, 258, 25849, 32197, 281, 3758, 1477, 12803, 815, 1412, 339, 11939, 545, 6831, 528, 4533, 17902, 262, 5897, 258, 7383, 3758, 281, 1239, 1477, 11907, 815, 19073, 18667, 32269, 31526, 267, 694, 335, 8782, 315, 339, 3299, 6085, 8782, 258, 3299, 14255, 28767, 8782, 301, 5847, 262, 10142, 258, 7179, 519, 2212, 540, 519, 4578, 20988, 1477, 2745, 16597, 23584, 3890, 10142, 258, 18140, 1412, 21848, 262, 4756, 538, 513, 27008, 1477, 335, 323, 6185, 1092, 20988, 269, 7290, 16597, 314, 9131, 21848, 11172, 29573, 10823, 11859, 16932, 3488, 21848, 630, 344, 8986, 264, 20298, 10823, 269, 29786, 3488, 12248, 20298, 10823, 20481, 14052, 0, 18411, 270, 20330, 288, 7473, 295, 3036, 281, 575, 603, 889, 2593, 270, 3333, 516, 18885, 7176, 322, 7531, 24165, 25770, 300, 29865, 30121, 1384, 11693, 606, 5044, 540, 9981, 14327, 1141, 14327, 5157, 316, 568, 519, 1297, 540, 14327, 513, 11001, 4607, 585, 741, 476, 603, 454, 17549, 267, 2132, 12337, 519, 11001, 781, 554, 268, 8161, 780, 6097, 547, 519, 4214, 540, 554, 268, 8161, 593, 9504, 281, 589, 10196, 814, 606, 4994, 554, 952, 554, 540, 741, 562, 4574, 723, 693, 2547, 554, 454, 322, 14591, 1142, 267, 543, 519, 824, 562, 6567, 554, 4574, 723, 1100, 811, 982, 554, 14327, 1142, 780, 2252, 972, 616, 1896, 2009, 2418, 585, 554, 267, 519, 5021, 835, 568, 3144, 607, 519, 554, 268, 8161, 563, 692, 13052, 4456, 12195, 2464, 1384, 7078, 476, 272, 1384, 19152, 281, 14327, 815, 1496, 274, 267, 271, 267, 277, 267, 272, 267, 276, 2639, 20479, 281, 476, 274, 454, 15008, 281, 1496, 274, 267, 271, 267, 277, 267, 272, 267, 276, 316, 1797, 519, 11001, 814, 476, 276, 4574, 538, 2698, 543, 1142, 540, 873, 1185, 4607, 476, 274, 267, 476, 271, 267, 476, 277, 267, 476, 272, 267, 476, 276, 454, 322, 14591, 6606, 563, 7712, 519, 11001, 814, 476, 274, 4574, 609, 693, 2547, 476, 274, 14327, 1142, 543, 519, 6967, 1079, 609, 1100, 811, 982, 476, 274, 14327, 454, 26421, 267, 741, 554, 268, 8161, 568, 476, 274, 780, 7078, 476, 273, 1384, 19152, 281, 14327, 815, 1496, 272, 267, 274, 267, 272, 2639, 20479, 281, 476, 272, 7531, 295, 19860, 281, 1280, 3236, 267, 606, 554, 268, 8161, 540, 476, 1704, 1797, 602, 519, 10196, 814, 3370, 693, 2547, 476, 1704, 4574, 602, 723, 1142, 1044, 11855, 454, 520, 2547, 476, 1704, 2053, 692, 299, 8104, 2975, 912, 272, 269, 634, 554, 268, 8161, 568, 7229, 676, 10203, 519, 1297, 540, 12326, 585, 799, 606, 2278, 814, 1044, 11855, 676, 824, 4589, 454, 520, 2547, 602, 1482, 1297, 540, 2053, 780, 273, 269, 3689, 4990, 519, 14327, 1592, 538, 9258, 1931, 780, 274, 269, 3767, 29906, 519, 9258, 15044, 1592, 540, 519, 14327, 910, 2311, 1142, 4994, 267, 621, 786, 2285, 721, 513, 3950, 540, 875, 1082, 454, 21504, 725, 723, 1044, 18886, 2943, 543, 1018, 568, 519, 1297, 540, 14327, 693, 519, 1699, 4994, 780, 275, 269, 1403, 938, 1297, 540, 12326, 602, 723, 1044, 18886, 568, 3152, 982, 519, 1699, 11239, 267, 649, 786, 581, 1213, 13586, 454, 1492, 1267, 676, 476, 272, 2094, 519, 1699, 8313, 814, 547, 581, 3769, 538, 519, 554, 910, 4994, 780, 276, 269, 17776, 519, 2698, 1297, 540, 519, 12326, 18886, 538, 519, 3105, 1900, 563, 692, 23490, 4041, 311, 14510, 1384, 11742, 29203, 281, 744, 3799, 1070, 562, 568, 519, 3259, 540, 519, 14327, 1592, 2016, 607, 519, 3403, 563, 22129, 29203, 281, 744, 263, 272, 1070, 1100, 1592, 568, 2813, 610, 6740, 538, 519, 3965, 267, 1175, 835, 4756, 547, 1832, 513, 3950, 540, 519, 1267, 563, 18411, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 1384, 825, 1219, 554, 19340, 4311, 267, 14327, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 2132, 2040, 9217, 2999, 795, 585, 1775, 267, 795, 538, 26246, 4433, 9285, 6262, 14591, 267, 9258, 18989, 21875, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 774, 340, 4924, 476, 476, 277, 476, 876, 281, 4962, 281, 1839, 476, 1708, 271, 5897, 25278, 3036, 2969, 12088, 5897, 9928, 523, 9222, 1477, 8266, 523, 547, 713, 1650, 281, 513, 7911, 543, 1010, 4651, 267, 513, 2780, 27732, 267, 21506, 732, 4730, 609, 11308, 7161, 269, 1358, 616, 2679, 513, 18158, 269, 5897, 19853, 18158, 568, 513, 3787, 20868, 267, 607, 621, 568, 2965, 513, 18158, 11057, 3774, 21506, 268, 621, 781, 6366, 269, 634, 18158, 568, 30528, 2687, 547, 835, 2241, 6240, 281, 21506, 26421, 2539, 4494, 3568, 835, 3625, 811, 982, 519, 4494, 1657, 269, 5897, 7312, 4305, 568, 547, 2328, 513, 1982, 799, 14509, 519, 1297, 540, 7161, 21506, 1492, 26767, 723, 267, 543, 17016, 519, 4463, 540, 519, 18158, 602, 666, 581, 3710, 21506, 6748, 891, 7161, 269, 5897, 9616, 281, 519, 4463, 568, 6027, 676, 519, 1297, 540, 4628, 6192, 6106, 21506, 268, 952, 519, 26767, 1810, 1405, 723, 513, 6190, 1297, 540, 7161, 543, 3112, 21506, 14814, 519, 1985, 4494, 267, 789, 9096, 741, 960, 5612, 269, 5897, 14818, 707, 3009, 1210, 519, 1239, 649, 4312, 3177, 269, 5897, 287, 10461, 281, 6424, 1477, 18851, 5897, 258, 25284, 320, 6446, 859, 531, 14243, 320, 3288, 5621, 3120, 630, 523, 11376, 13196, 264, 632, 19448, 19266, 5451, 332, 728, 5897, 333, 4565, 4169, 815, 703, 9272, 2891, 28808, 516, 572, 1714, 562, 14243, 1067, 334, 632, 11376, 13196, 29146, 8442, 3418, 322, 3300, 815, 476, 271, 1477, 321, 815, 476, 271, 1948, 659, 636, 592, 11456, 632, 562, 14243, 1067, 334, 632, 11376, 13196, 1477, 320, 815, 476, 271, 1948, 5715, 545, 11456, 562, 14243, 1067, 334, 632, 533, 529, 334, 1477, 258, 1721, 1775, 538, 2039, 630, 272, 267, 1015, 8029, 6112, 630, 12148, 8029, 825, 513, 815, 513, 1341, 476, 272, 17264, 1948, 4186, 11456, 632, 562, 14243, 1067, 334, 632, 533, 529, 657, 1477, 825, 536, 815, 536, 1341, 513, 17264, 1948, 659, 636, 592, 11456, 632, 562, 14243, 1067, 334, 632, 11376, 13196, 1477, 825, 1948, 2745, 630, 320, 267, 754, 815, 834, 834, 3418, 825, 1948, 2745, 630, 321, 267, 754, 815, 834, 834, 3418, 825, 1948, 2745, 19629, 333, 14744, 825, 952, 630, 321, 5991, 4565, 4169, 264, 2652, 476, 271, 6769, 1038, 1820, 2891, 333, 14243, 1067, 334, 632, 11376, 13196, 2580, 333, 4565, 4169, 3418, 1038, 1820, 9497, 763, 4463, 540, 519, 18158, 568, 24333, 320, 3418, 1038, 2736, 1477, 825, 952, 630, 321, 13843, 562, 4565, 4169, 8029, 1038, 524, 815, 513, 910, 476, 272, 1363, 1948, 973, 5451, 331, 1529, 334, 1642, 562, 14243, 1067, 334, 632, 533, 529, 657, 1477, 1038, 1820, 2891, 333, 14243, 1067, 334, 632, 11376, 13196, 2580, 333, 4565, 4169, 3418, 1038, 1820, 9497, 763, 4463, 540, 519, 18158, 568, 24333, 322, 3418, 1038, 2736, 5897, 258, 3474, 320, 5543, 591, 1714, 1966, 320, 694, 554, 714, 334, 6769, 258, 1133, 320, 9184, 5055, 4086, 520, 10216, 562, 815, 476, 272, 267, 274, 267, 277, 267, 1015, 267, 1428, 267, 2641, 267, 2764, 630, 333, 14243, 1067, 334, 632, 11376, 13196, 3418, 4449, 8587, 1948, 533, 815, 476, 272, 267, 273, 267, 274, 267, 6860, 267, 4962, 267, 6187, 267, 5881, 630, 5306, 3120, 632, 3288, 19266, 5451, 332, 728, 3418, 258, 513, 815, 513, 1341, 476, 272, 1965, 796, 733, 11456, 2028, 334, 620, 22178, 334, 1247, 513, 815, 476, 272, 267, 273, 267, 274, 1862, 1477, 258, 536, 815, 536, 1341, 513, 2040, 320, 1714, 562, 14243, 1067, 334, 632, 11376, 4302, 1035, 867, 324, 598, 1714, 733, 11456, 513, 1477, 258, 23313, 536, 910, 562, 4565, 4169, 2652, 476, 271, 281, 1714, 562, 14243, 1067, 334, 632, 11376, 13196, 3824, 637, 15606, 27205, 557, 16948, 554, 27468, 1477, 7386, 1948, 335, 529, 657, 4283, 657, 1477, 258, 23313, 536, 3436, 562, 4565, 4169, 281, 1714, 562, 14243, 1067, 334, 632, 11376, 13196, 3824, 637, 15606, 1100, 1965, 647, 325, 17087, 324, 16948, 1477, 1038, 1948, 554, 27468, 796, 533, 529, 334, 1264, 1729, 1477, 1038, 1948, 1003, 533, 529, 657, 524, 815, 513, 910, 272, 1477, 24541, 24541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1903, 269, 2201, 519, 9061, 267, 1256, 811, 982, 538, 519, 524, 1026, 267, 646, 568, 1955, 28609, 267, 2696, 1524, 1934, 267, 2696, 609, 721, 563, 18661, 568, 609, 721, 1107, 543, 602, 568, 1434, 3377, 281, 593, 713, 6153, 11016, 543, 2141, 269, 2549, 523, 269, 0, 19751, 476, 1789, 267, 476, 1220, 280, 454, 9617, 823, 2480, 26515, 267, 22731, 1143, 267, 543, 5020, 538, 519, 476, 2641, 560, 11416, 454, 28606, 17067, 713, 3018, 267, 10456, 2480, 26515, 543, 10456, 6601, 9807, 23503, 2409, 540, 13338, 7664, 1354, 606, 5304, 538, 570, 639, 935, 267, 14151, 269, 4438, 519, 2680, 267, 10456, 2480, 26515, 15034, 930, 540, 1010, 9164, 540, 834, 14708, 909, 2924, 1701, 10456, 6601, 9807, 267, 585, 1010, 851, 267, 1767, 602, 896, 2480, 26515, 781, 3312, 1143, 267, 649, 786, 723, 513, 11156, 267, 855, 834, 527, 4465, 1406, 581, 513, 9139, 4896, 786, 581, 2111, 547, 2661, 896, 3034, 763, 2680, 267, 1247, 6157, 29810, 267, 16668, 3606, 3007, 1317, 3355, 5359, 910, 2663, 8810, 7301, 268, 602, 10456, 2480, 26515, 1185, 6376, 539, 602, 1813, 547, 1010, 3312, 626, 4978, 267, 646, 1131, 723, 4744, 5034, 538, 9466, 642, 269, 8274, 540, 4065, 269, 6969, 519, 1867, 729, 15428, 267, 519, 5816, 14459, 3459, 513, 4901, 593, 519, 3948, 7301, 569, 11911, 547, 2480, 26515, 269, 769, 1880, 267, 7905, 10793, 26811, 514, 3576, 1864, 547, 4305, 269, 2991, 519, 1867, 729, 22621, 267, 7905, 26811, 514, 11130, 602, 1256, 952, 10456, 2480, 26515, 1223, 1265, 513, 1259, 547, 3251, 21705, 547, 3312, 1143, 543, 1869, 6443, 519, 5354, 6644, 538, 9466, 267, 824, 2665, 910, 971, 607, 700, 8221, 543, 12157, 1782, 642, 269, 26588, 701, 910, 1131, 849, 1459, 2042, 563, 23178, 26811, 514, 814, 513, 1448, 267, 855, 594, 9364, 2965, 1491, 1010, 4661, 543, 4228, 621, 2417, 269, 1280, 1247, 594, 1589, 2436, 10456, 2480, 26515, 1131, 723, 4956, 9466, 513, 1978, 1259, 568, 606, 4277, 2243, 267, 594, 1589, 519, 811, 4909, 14374, 568, 2436, 910, 543, 875, 910, 3312, 1143, 666, 7500, 538, 519, 3013, 540, 519, 8938, 23867, 2540, 563, 2467, 616, 1082, 12331, 540, 13338, 7664, 269, 1809, 3312, 1143, 568, 2189, 538, 922, 5909, 3363, 269, 634, 16051, 571, 4667, 547, 581, 834, 2252, 519, 3265, 619, 4769, 1405, 1589, 621, 267, 621, 1590, 581, 4636, 1701, 1809, 568, 713, 519, 2013, 286, 3657, 519, 3265, 619, 2141, 2953, 286, 594, 1589, 519, 2626, 547, 602, 1590, 581, 834, 7224, 1701, 634, 13368, 619, 31751, 513, 3561, 602, 12873, 8474, 267, 1705, 711, 1450, 2021, 547, 8917, 267, 543, 3908, 519, 7589, 540, 519, 17069, 864, 538, 519, 9550, 540, 519, 2229, 269, 1717, 267, 936, 519, 1296, 267, 4892, 723, 4009, 569, 15653, 1346, 4978, 269, 769, 606, 2376, 3981, 532, 513, 18349, 540, 519, 21146, 2852, 267, 7905, 808, 3133, 645, 269, 681, 2532, 514, 2829, 912, 2171, 723, 1419, 8719, 519, 1688, 328, 1740, 540, 519, 13368, 619, 950, 741, 5605, 2526, 775, 2509, 9111, 20443, 569, 555, 342, 14975, 2442, 1852, 936, 2229, 269, 634, 774, 597, 18818, 267, 9050, 18818, 267, 543, 17823, 18818, 2549, 754, 906, 1310, 519, 6406, 2782, 530, 21317, 856, 519, 3312, 17181, 776, 10054, 540, 3043, 29686, 538, 6214, 543, 2229, 269, 1284, 8719, 519, 9940, 1505, 540, 1528, 532, 2136, 2276, 7354, 2209, 676, 1533, 9777, 2137, 538, 476, 4489, 274, 609, 1463, 9550, 968, 2421, 519, 1004, 892, 607, 3177, 585, 538, 519, 1530, 1203, 7570, 14821, 269, 634, 715, 12078, 14821, 15653, 519, 3023, 1143, 540, 938, 13368, 619, 676, 1603, 2021, 883, 519, 1560, 2184, 545, 269, 1547, 1547, 476, 272, 454, 4407, 519, 2376, 568, 711, 827, 3312, 1143, 267, 519, 1448, 568, 1134, 2389, 2586, 269, 634, 21184, 540, 519, 5853, 619, 729, 602, 789, 3769, 513, 1505, 585, 993, 2056, 519, 9139, 269, 1717, 267, 952, 519, 1977, 1004, 6430, 547, 18985, 519, 9139, 267, 713, 3375, 1058, 936, 20183, 519, 5853, 619, 262, 1620, 540, 519, 3561, 269, 769, 824, 1913, 267, 593, 1346, 2152, 1141, 519, 1004, 723, 9275, 267, 1946, 12582, 1405, 519, 1620, 540, 519, 17069, 864, 1852, 267, 2864, 982, 602, 540, 519, 5853, 619, 286, 2290, 540, 519, 1175, 5874, 585, 3312, 1143, 910, 543, 835, 2016, 676, 10456, 2480, 26515, 538, 519, 2487, 7521, 910, 568, 602, 519, 9139, 786, 7985, 952, 14648, 1759, 593, 519, 627, 15501, 540, 519, 17069, 864, 269, 1809, 519, 9139, 3112, 581, 29567, 593, 513, 6071, 627, 574, 269, 589, 2706, 2173, 1994, 640, 540, 4892, 1590, 3858, 547, 1022, 17203, 269, 4475, 267, 3226, 593, 519, 2152, 1141, 519, 1977, 1004, 723, 2016, 930, 16315, 540, 741, 4555, 593, 519, 2339, 267, 3312, 1143, 4667, 547, 581, 513, 1447, 3617, 4612, 633, 1505, 563, 6624, 267, 1082, 1876, 2689, 4930, 723, 1044, 2854, 593, 3312, 1143, 269, 11569, 267, 519, 1888, 568, 6626, 982, 835, 666, 4628, 2232, 543, 5659, 538, 519, 7182, 540, 513, 5816, 20171, 269, 1809, 594, 993, 19914, 602, 10456, 2480, 26515, 781, 8292, 941, 3144, 856, 540, 2796, 269, 3502, 585, 519, 19849, 14536, 594, 993, 2386, 602, 3357, 547, 1346, 3238, 267, 855, 1317, 621, 3947, 782, 540, 721, 606, 4316, 547, 30603, 938, 2093, 593, 13338, 7664, 269, 769, 1250, 6644, 267, 602, 1184, 666, 1152, 581, 6225, 563, 15045, 23177, 6369, 16249, 661, 12702, 3201, 14510, 281, 700, 20315, 308, 17803, 267, 32045, 1299, 18161, 4953, 23802, 454, 9556, 23306, 676, 7905, 25288, 2335, 7605, 5459, 454, 293, 27518, 267, 5437, 476, 277, 267, 476, 1220, 280, 454, 520, 476, 1556, 993, 454, 30949, 2160, 540, 1715, 3840, 3427, 540, 4521, 454, 297, 10154, 5211, 320, 568, 7905, 540, 4521, 543, 10615, 540, 519, 4741, 593, 21337, 543, 4678, 2088, 7126, 543, 25734, 630, 12710, 16800, 264, 693, 595, 7419, 312, 3427, 540, 4521, 563, 15463, 960, 814, 10704, 593, 513, 2647, 2039, 540, 2152, 6849, 5824, 657, 543, 5824, 553, 267, 1519, 1893, 543, 4008, 7130, 543, 2686, 7496, 269, 4813, 518, 4521, 1849, 17064, 547, 10966, 7040, 10456, 590, 8205, 590, 582, 558, 599, 528, 267, 7905, 5211, 320, 729, 513, 7928, 1857, 6085, 1807, 1282, 2063, 4832, 779, 21533, 1184, 563, 298, 574, 27323, 670, 23167, 568, 513, 10564, 543, 31692, 1639, 7905, 538, 519, 2296, 8257, 693, 19803, 5441, 14727, 7419, 312, 269, 4173, 6965, 10070, 1331, 634, 715, 5535, 10003, 547, 519, 25181, 630, 310, 15030, 269, 17368, 517, 476, 1220, 277, 264, 543, 634, 30310, 779, 667, 5922, 630, 310, 15030, 269, 17368, 517, 476, 1220, 273, 1040, 1306, 835, 12092, 2453, 621, 267, 1200, 960, 1419, 7710, 834, 1492, 28963, 540, 20849, 9163, 269, 2701, 4749, 14405, 593, 267, 543, 1256, 5368, 24000, 267, 5929, 3029, 543, 2553, 1031, 676, 2021, 5830, 538, 3567, 543, 3624, 267, 1519, 519, 1990, 340, 8811, 1080, 340, 267, 610, 10788, 578, 1433, 267, 543, 8356, 695, 340, 267, 513, 5176, 17255, 7097, 4457, 2021, 1031, 547, 5330, 609, 835, 1776, 4799, 10403, 543, 1930, 547, 519, 1857, 269, 19954, 29262, 2838, 281, 4757, 11333, 2593, 454, 19751, 476, 2764, 267, 476, 1220, 280, 454, 17359, 715, 12764, 18065, 547, 5623, 8614, 653, 525, 523, 267, 3557, 31981, 15194, 454, 288, 5354, 540, 10283, 16488, 593, 519, 715, 12764, 18065, 20366, 19108, 547, 9886, 679, 536, 4545, 2689, 547, 15011, 3139, 642, 269, 8614, 653, 525, 523, 4578, 17839, 267, 519, 1614, 268, 9080, 613, 8470, 15194, 602, 15653, 519, 17312, 543, 15525, 4218, 5928, 262, 1533, 11580, 3409, 269, 14520, 16488, 267, 1519, 25960, 1635, 23331, 267, 1705, 711, 7119, 563, 763, 27674, 858, 538, 519, 2013, 19429, 1010, 24255, 1996, 519, 4357, 2754, 8614, 653, 525, 523, 4578, 17839, 585, 922, 1909, 538, 1010, 9058, 14906, 819, 676, 519, 31835, 269, 634, 17312, 7245, 267, 543, 1287, 519, 15525, 7245, 267, 18060, 539, 543, 6410, 547, 14962, 519, 3003, 2013, 593, 519, 24255, 267, 19101, 602, 519, 1360, 1641, 2339, 540, 519, 2013, 729, 513, 1533, 5728, 269, 589, 1614, 268, 9080, 613, 8470, 540, 519, 715, 12764, 18065, 15653, 519, 3409, 267, 543, 519, 15525, 7245, 8179, 2689, 676, 519, 2407, 715, 12764, 18065, 269, 630, 296, 26906, 27674, 858, 781, 18607, 5484, 654, 714, 1676, 540, 519, 8028, 299, 308, 1934, 269, 594, 11540, 593, 519, 7245, 781, 2242, 547, 519, 1533, 11580, 17979, 1934, 8094, 763, 8470, 3375, 2322, 519, 715, 12764, 18065, 693, 12918, 609, 606, 4505, 19549, 18065, 15194, 593, 1533, 11580, 538, 606, 9058, 14906, 819, 2013, 1996, 519, 2229, 269, 769, 602, 2013, 267, 4432, 5336, 553, 686, 642, 269, 2136, 2276, 267, 519, 19549, 18065, 31045, 513, 27789, 1533, 11580, 17979, 267, 543, 585, 519, 1101, 942, 12082, 519, 17979, 538, 519, 9139, 630, 20684, 4083, 543, 9668, 540, 7060, 3741, 1040, 630, 28606, 17067, 1533, 11580, 2665, 4682, 865, 2484, 607, 547, 14962, 593, 519, 5418, 611, 902, 267, 855, 519, 10470, 723, 5701, 1533, 11580, 8806, 607, 606, 10423, 10706, 17979, 267, 711, 513, 13338, 14985, 4700, 634, 715, 12764, 18065, 1931, 12651, 519, 7872, 602, 519, 2407, 715, 12764, 18065, 786, 849, 23596, 713, 27789, 3409, 563, 19751, 476, 2767, 267, 476, 1220, 280, 454, 288, 6193, 639, 5450, 345, 3455, 13669, 802, 6168, 5131, 27617, 8750, 454, 296, 12038, 19108, 609, 7905, 28711, 1014, 5450, 345, 3455, 630, 8624, 3518, 807, 264, 827, 1200, 993, 16307, 5618, 538, 5131, 27617, 8750, 642, 269, 5398, 3213, 269, 19098, 744, 951, 697, 8274, 267, 519, 2013, 4101, 7203, 3316, 525, 14114, 343, 2917, 781, 1007, 7193, 288, 15477, 267, 513, 1560, 1369, 519, 22444, 267, 593, 2561, 2002, 906, 1849, 1021, 543, 9668, 540, 7060, 12406, 269, 594, 1175, 11540, 19108, 593, 5450, 345, 3455, 781, 2376, 593, 4835, 543, 5007, 9668, 540, 7060, 282, 649, 12038, 827, 602, 267, 607, 1134, 269, 7053, 267, 5450, 345, 3455, 6035, 3280, 5796, 585, 19174, 14719, 908, 25937, 993, 16307, 5618, 338, 563, 296, 12995, 519, 5967, 883, 1614, 2694, 282, 4945, 519, 26484, 7161, 2630, 912, 2791, 666, 4647, 713, 3758, 543, 4464, 547, 519, 2053, 2630, 585, 5717, 593, 1880, 3584, 912, 281, 4097, 547, 476, 272, 281, 1789, 585, 513, 6609, 543, 4282, 593, 519, 2013, 454, 272, 281, 1789, 547, 476, 275, 281, 1015, 585, 513, 4901, 540, 519, 1713, 11758, 12302, 7496, 538, 519, 2013, 454, 275, 281, 2537, 547, 476, 279, 281, 876, 585, 513, 4901, 540, 519, 13338, 6811, 538, 519, 2013, 454, 279, 281, 1789, 547, 476, 1724, 281, 1789, 543, 476, 1240, 281, 876, 547, 476, 736, 281, 6246, 585, 513, 4901, 540, 519, 4644, 540, 519, 2013, 543, 519, 27789, 6811, 454, 1724, 281, 1789, 547, 476, 1428, 281, 2412, 585, 513, 4901, 540, 5450, 345, 3455, 781, 5618, 454, 1428, 281, 2412, 547, 7736, 585, 513, 4901, 593, 875, 519, 7040, 1522, 4341, 538, 519, 2013, 454, 19751, 476, 1839, 267, 476, 1220, 280, 454, 18404, 345, 3455, 593, 18378, 543, 24498, 9484, 9653, 540, 25024, 454, 23178, 28711, 1014, 5450, 345, 3455, 630, 8624, 3518, 807, 264, 5063, 11540, 1200, 15826, 4062, 267, 634, 3955, 323, 8817, 20556, 9737, 18378, 543, 24498, 9484, 9653, 540, 25024, 267, 593, 9399, 305, 301, 269, 634, 2376, 7710, 519, 3347, 1063, 4835, 543, 5007, 11974, 593, 519, 10324, 543, 6238, 606, 1271, 6643, 593, 875, 9668, 540, 7060, 14985, 1522, 12927, 630, 2254, 3186, 8494, 1125, 264, 4835, 11974, 269, 634, 4661, 568, 513, 3209, 1840, 547, 519, 3332, 593, 10324, 10148, 543, 9668, 540, 7060, 267, 543, 621, 7948, 1405, 2097, 693, 513, 811, 4412, 25875, 942, 734, 3286, 936, 513, 3923, 1354, 519, 7040, 786, 5873, 7440, 538, 5131, 27617, 8750, 642, 269, 5398, 3213, 269, 19098, 744, 951, 697, 8274, 267, 4101, 7203, 3316, 525, 14114, 343, 2917, 781, 1007, 7193, 288, 15477, 267, 513, 1560, 1369, 519, 22444, 267, 593, 2561, 2002, 906, 1849, 1021, 543, 9668, 540, 7060, 12406, 269, 594, 3810, 4363, 713, 563, 18404, 345, 3455, 5036, 1200, 4661, 909, 1996, 519, 17312, 7245, 2184, 545, 1436, 540, 10324, 3375, 14708, 269, 589, 2009, 3992, 689, 519, 17312, 7245, 267, 1352, 11339, 267, 568, 602, 4835, 10148, 734, 3832, 4242, 593, 519, 10324, 1369, 519, 10324, 7936, 3294, 267, 971, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25603, 8891, 324, 269, 1261, 781, 689, 5245, 563, 2252, 596, 2461, 1869, 9849, 15144, 267, 594, 6557, 827, 547, 2285, 596, 2947, 4128, 547, 3247, 563, 19853, 4408, 616, 18321, 267, 15039, 267, 631, 2801, 267, 8891, 324, 267, 543, 21667, 267, 543, 789, 616, 2947, 13265, 689, 5245, 945, 941, 23699, 585, 519, 15144, 2872, 563, 288, 20624, 7472, 476, 1839, 260, 540, 519, 1158, 779, 15144, 1765, 10472, 15144, 2501, 689, 13265, 899, 8891, 324, 563, 303, 23176, 729, 8572, 547, 1847, 543, 2673, 547, 2669, 950, 519, 22602, 1336, 1864, 269, 3571, 1152, 1216, 3761, 729, 513, 3109, 30077, 548, 602, 729, 13572, 676, 513, 4232, 1154, 13265, 779, 1286, 322, 817, 269, 8891, 324, 568, 519, 3068, 540, 519, 15144, 2872, 563, 303, 23176, 5747, 827, 606, 5662, 1310, 713, 4605, 729, 3144, 267, 2348, 11124, 4805, 585, 4374, 563, 1103, 5245, 267, 1082, 13265, 616, 4481, 26870, 547, 723, 3063, 23743, 569, 2960, 267, 799, 1797, 6705, 666, 1205, 811, 15144, 689, 1142, 3662, 269, 901, 15069, 2306, 621, 1454, 28555, 267, 543, 621, 666, 2014, 2831, 547, 5884, 540, 3002, 25874, 538, 519, 4832, 269, 634, 32060, 849, 666, 2445, 10729, 543, 7509, 30147, 4482, 13733, 267, 945, 1287, 2482, 5798, 538, 519, 13265, 779, 2960, 269, 901, 568, 1572, 8038, 560, 686, 651, 267, 543, 519, 4012, 326, 1824, 666, 2965, 3548, 519, 13265, 9800, 267, 899, 789, 1705, 8891, 324, 563, 288, 26894, 678, 4545, 1667, 1419, 1685, 513, 3046, 8663, 545, 5106, 1765, 332, 2737, 532, 1765, 8364, 1324, 4773, 540, 2960, 1055, 540, 519, 13265, 269, 901, 568, 2944, 547, 2014, 5347, 267, 10077, 1042, 2960, 602, 4465, 1406, 22426, 8038, 5798, 267, 2943, 519, 26481, 16398, 1419, 1205, 8038, 560, 686, 651, 1354, 789, 12115, 543, 519, 4783, 5170, 563, 5475, 1296, 540, 713, 6057, 267, 8241, 13265, 616, 1419, 16081, 4364, 5196, 2083, 20321, 16996, 585, 2661, 13143, 547, 519, 5664, 5101, 12544, 7552, 602, 1082, 798, 711, 7639, 1765, 3602, 789, 616, 1951, 13949, 547, 26718, 543, 3006, 723, 741, 31462, 1846, 2759, 1247, 789, 616, 6857, 543, 10010, 269, 4256, 17145, 568, 1287, 4421, 547, 581, 13881, 563, 1692, 666, 596, 948, 2831, 899, 8891, 324, 286, 5213, 1406, 4444, 15144, 256, 594, 2760, 1616, 606, 3662, 547, 723, 547, 7985, 865, 594, 666, 5957, 513, 4418, 831, 267, 798, 596, 286, 2060, 865, 1082, 15144, 6954, 3681, 2139, 2221, 267, 9319, 15144, 568, 4443, 982, 2479, 269, 3807, 2638, 7802, 10297, 1354, 596, 4444, 269, 0, 20663, 851, 1148, 568, 513, 4241, 5420, 547, 946, 585, 11589, 13951, 543, 17555, 667, 629, 4900, 6390, 3096, 552, 2914, 4292, 547, 1118, 25713, 15564, 25378, 13144, 269, 3958, 267, 519, 7376, 3096, 824, 6880, 335, 6064, 2511, 2326, 547, 1711, 23609, 602, 608, 8775, 606, 3592, 4023, 12682, 1446, 6438, 5605, 1466, 563, 294, 541, 12237, 1522, 3100, 899, 513, 19619, 540, 8631, 602, 1100, 3476, 814, 3483, 543, 1058, 581, 1655, 2451, 547, 519, 25087, 269, 1717, 267, 519, 1249, 602, 930, 5159, 1294, 519, 3653, 607, 6667, 3947, 519, 1148, 1158, 2943, 1776, 4494, 540, 3178, 602, 18922, 607, 513, 15266, 547, 6986, 13007, 563, 291, 629, 4900, 6390, 781, 13144, 616, 267, 4352, 1500, 5176, 7357, 856, 540, 20549, 267, 17033, 9589, 543, 5031, 1018, 666, 15983, 581, 513, 1390, 3992, 585, 938, 2486, 281, 835, 1268, 781, 17885, 568, 1776, 1268, 781, 544, 2224, 269, 1548, 1732, 1259, 547, 2070, 2780, 851, 1148, 982, 513, 1514, 16472, 827, 938, 3728, 19550, 2486, 888, 11577, 12023, 8950, 3487, 3203, 454, 5415, 853, 1846, 1341, 270, 8894, 9288, 520, 344, 1975, 709, 339, 623, 11170, 553, 454, 12749, 476, 4649, 4317, 6153, 14313, 538, 4873, 454, 306, 20980, 4457, 8111, 28669, 619, 454, 290, 592, 2435, 6184, 17508, 27122, 0, 10666, 12168, 357, 14180, 20254, 12168, 361, 21333, 29756, 454, 24220, 14180, 20254, 12168, 361, 21333, 29756, 12168, 357, 14180, 20254, 12168, 359, 14507, 404, 370, 28257, 12168, 511, 18716, 15906, 8294, 14180, 21518, 342, 11510, 941, 849, 1767, 547, 7703, 2995, 2389, 1446, 7592, 538, 3864, 18691, 563, 1103, 3047, 26141, 2013, 267, 922, 10739, 568, 5176, 9764, 267, 865, 602, 519, 3017, 1063, 3047, 26141, 17439, 4554, 1448, 689, 519, 6129, 543, 922, 14191, 1448, 568, 1360, 1507, 269, 12168, 357, 14180, 20254, 476, 15906, 15906, 12022, 21333, 18716, 14180, 27755, 28257, 12168, 357, 28257, 404, 370, 476, 15906, 8294, 404, 511, 12022, 405, 487, 12168, 367, 405, 481, 25078, 9122, 593, 741, 7403, 267, 789, 4956, 602, 972, 616, 4440, 2185, 18700, 7916, 538, 519, 27305, 10158, 14925, 267, 4352, 621, 568, 1869, 2009, 602, 519, 14925, 814, 1152, 1079, 18700, 7916, 610, 602, 972, 616, 1079, 8789, 7916, 602, 2270, 1312, 2025, 543, 1762, 6801, 267, 2059, 609, 1079, 1447, 7986, 7916, 602, 723, 1152, 7820, 6801, 269, 5240, 814, 3370, 606, 2376, 22281, 532, 519, 8464, 540, 2363, 1168, 5893, 5359, 540, 22743, 7644, 312, 670, 6865, 301, 2839, 8289, 902, 602, 12735, 4240, 519, 5463, 4405, 1858, 538, 476, 1220, 274, 269, 589, 11984, 568, 1419, 1500, 1063, 17319, 543, 32246, 941, 342, 11510, 563, 306, 8538, 1014, 5175, 330, 617, 331, 6545, 12926, 1185, 519, 4356, 540, 7249, 2958, 908, 12422, 538, 519, 5162, 3275, 267, 1141, 789, 1131, 14816, 1055, 741, 18896, 32675, 543, 13793, 873, 689, 4054, 269, 12168, 357, 14180, 20254, 12168, 357, 20254, 12022, 28257, 24220, 476, 28519, 18716, 12168, 366, 24220, 15906, 14507, 12168, 361, 15906, 404, 366, 20901, 12168, 367, 405, 481, 25078, 12168, 357, 14180, 20254, 12168, 361, 21333, 29756, 1703, 2899, 729, 606, 6932, 2197, 563, 22349, 1258, 12002, 723, 849, 711, 1044, 2111, 547, 3858, 593, 1175, 875, 1082, 18700, 7916, 519, 27305, 10158, 19299, 281, 2901, 1079, 267, 1225, 1324, 1055, 538, 6587, 8846, 689, 519, 4099, 543, 28277, 1472, 9425, 17401, 267, 610, 2185, 267, 28277, 1472, 811, 29101, 269, 0, 347, 23625, 7970, 941, 2919, 547, 6318, 6161, 585, 7863, 3552, 27683, 269, 23625, 7970, 2270, 930, 19377, 9697, 269, 23625, 7970, 616, 26731, 689, 21741, 9812, 269, 23625, 7970, 616, 2808, 547, 581, 14704, 7314, 269, 23625, 7970, 723, 1044, 26870, 2094, 519, 5216, 625, 563, 28657, 10960, 1763, 26443, 454, 28657, 568, 594, 11343, 538, 3345, 3013, 543, 21269, 2066, 16977, 296, 344, 476, 274, 267, 279, 4649, 267, 1822, 4009, 11465, 296, 525, 269, 21784, 2989, 2249, 1634, 689, 4516, 1331, 519, 9791, 1733, 1446, 267, 7256, 17305, 614, 267, 853, 11839, 781, 7256, 23193, 267, 543, 670, 2794, 3724, 1733, 1446, 269, 4107, 890, 641, 296, 324, 538, 4516, 3717, 2296, 610, 3943, 269, 634, 2551, 540, 4516, 568, 827, 476, 3451, 2929, 269, 634, 3854, 540, 4516, 568, 31747, 269, 0, 2467, 616, 513, 2603, 540, 2188, 602, 949, 2014, 519, 2011, 2298, 538, 707, 1753, 547, 1689, 269, 901, 568, 1946, 596, 1590, 2141, 2638, 519, 2011, 2298, 538, 707, 1753, 952, 596, 1616, 547, 10018, 519, 3106, 543, 1072, 540, 707, 1920, 269, 634, 2362, 519, 2179, 540, 11255, 17694, 568, 519, 2362, 786, 581, 707, 1920, 6534, 547, 1072, 12178, 269, 5794, 14107, 538, 707, 1753, 666, 2097, 689, 5739, 9362, 538, 519, 2011, 269, 15053, 995, 9362, 899, 2234, 517, 543, 3327, 24785, 616, 849, 1360, 5906, 269, 3371, 616, 930, 2081, 593, 875, 596, 666, 1449, 519, 2011, 2298, 538, 707, 1753, 269, 5794, 14107, 666, 849, 2097, 689, 9044, 1332, 2195, 269, 27718, 543, 7646, 1168, 666, 1332, 538, 1022, 1747, 269, 1358, 949, 689, 1332, 689, 707, 11647, 267, 6632, 15790, 1115, 267, 3330, 707, 8022, 543, 9023, 1949, 543, 824, 2679, 2326, 563, 2690, 12539, 3933, 6448, 454, 1607, 568, 513, 5906, 267, 17627, 1652, 267, 543, 2681, 1652, 3154, 602, 779, 2356, 3812, 689, 519, 13674, 540, 4492, 538, 930, 540, 707, 7622, 3457, 899, 588, 7174, 267, 1216, 28909, 267, 7677, 2167, 267, 543, 3595, 17541, 269, 12539, 24785, 666, 3362, 1205, 883, 707, 9641, 543, 5540, 519, 6283, 540, 5135, 538, 707, 1560, 269, 1160, 14075, 539, 4598, 666, 1267, 547, 2669, 799, 568, 1946, 596, 991, 547, 3888, 513, 3327, 24785, 18785, 547, 3713, 519, 4527, 540, 3327, 24785, 538, 707, 1753, 269, 901, 3926, 1568, 1175, 899, 513, 8673, 18785, 267, 621, 786, 3280, 607, 606, 15372, 2899, 519, 3327, 24785, 1377, 14380, 563, 20238, 517, 568, 7168, 1454, 519, 1482, 609, 3327, 24785, 4849, 602, 713, 3154, 14380, 6923, 689, 519, 2666, 543, 13788, 707, 1753, 998, 18015, 538, 707, 6989, 267, 6821, 543, 12775, 1949, 269, 7101, 517, 568, 5156, 547, 581, 607, 519, 2101, 2014, 540, 5761, 2860, 269, 1677, 3713, 2234, 517, 538, 707, 1753, 267, 596, 666, 1205, 513, 2234, 517, 7020, 6539, 563, 2690, 18143, 15724, 583, 1218, 454, 14300, 540, 6211, 14107, 1331, 519, 15055, 540, 8290, 267, 4551, 267, 9044, 267, 7646, 1168, 267, 543, 14947, 269, 27718, 543, 7646, 1168, 9428, 538, 2127, 609, 513, 14927, 2783, 1317, 540, 1164, 11195, 269, 1358, 1419, 2049, 950, 972, 779, 513, 1216, 10612, 13451, 610, 538, 2127, 602, 616, 538, 3586, 28198, 269, 6744, 532, 543, 8524, 532, 707, 1753, 8499, 568, 519, 1655, 1259, 547, 3713, 6211, 14107, 538, 707, 1753, 269, 1879, 6211, 14107, 616, 1336, 267, 596, 1590, 2973, 519, 1858, 782, 2429, 609, 519, 946, 540, 513, 15095, 7738, 3070, 563, 2252, 596, 1745, 899, 707, 1753, 568, 3478, 13943, 1317, 540, 519, 1164, 2837, 1282, 4832, 267, 1287, 621, 779, 519, 1318, 942, 585, 596, 547, 2015, 606, 2011, 30690, 10380, 269, 2107, 952, 596, 723, 606, 4540, 8028, 1770, 602, 814, 1044, 2469, 585, 811, 982, 476, 1015, 1296, 543, 568, 1631, 6029, 930, 4191, 540, 17149, 15059, 267, 1287, 596, 1058, 5372, 621, 609, 513, 1007, 835, 563, 2691, 621, 2501, 547, 11449, 513, 1007, 2011, 30690, 267, 2921, 930, 942, 1354, 9140, 835, 543, 3257, 930, 1382, 666, 1118, 513, 5458, 3017, 593, 875, 596, 3580, 1831, 13854, 609, 707, 1770, 269, 1879, 596, 2911, 827, 2011, 30690, 10380, 267, 519, 1655, 942, 585, 621, 568, 1282, 28782, 950, 519, 2837, 568, 2356, 3905, 269, 1879, 596, 1745, 899, 519, 2837, 568, 2907, 3564, 519, 3328, 267, 606, 8028, 1770, 786, 948, 596, 1745, 6899, 1586, 269, 634, 3106, 540, 596, 543, 707, 1920, 1058, 581, 707, 10862, 543, 606, 8028, 1770, 786, 581, 2111, 547, 1683, 596, 519, 2556, 3579, 2837, 1282, 3905, 28782, 269, 1717, 267, 621, 568, 1282, 28782, 950, 1034, 8028, 4559, 616, 14427, 269, 8028, 9755, 1491, 5413, 540, 519, 3747, 540, 519, 8028, 1770, 1282, 28782, 602, 779, 1946, 789, 2333, 519, 5777, 540, 741, 4559, 269, 1411, 786, 723, 547, 2628, 811, 5594, 1282, 28782, 950, 596, 4444, 513, 1007, 8028, 1770, 269, 1809, 952, 596, 1616, 547, 1205, 606, 8028, 1770, 585, 513, 2539, 3902, 267, 596, 949, 1616, 547, 6718, 835, 1354, 4832, 5956, 269, 901, 1259, 596, 3580, 581, 2111, 547, 2057, 519, 4832, 19060, 543, 2362, 5777, 269, 769, 1840, 267, 596, 849, 991, 547, 3442, 513, 1164, 4398, 2011, 30690, 952, 596, 1616, 547, 4688, 593, 707, 1648, 12014, 269, 1656, 952, 596, 2907, 4755, 547, 723, 606, 4540, 1770, 267, 596, 723, 547, 1577, 513, 27637, 1294, 621, 865, 596, 666, 1294, 952, 621, 779, 1869, 7900, 609, 1164, 4398, 269, 1411, 1590, 2760, 30391, 519, 2956, 540, 2011, 30690, 10380, 269, 1411, 949, 1589, 602, 621, 779, 711, 835, 540, 519, 1034, 2556, 14233, 538, 707, 1753, 267, 855, 596, 2965, 991, 621, 269, 5681, 11302, 616, 28555, 1631, 982, 2479, 1354, 1813, 547, 2518, 8337, 2360, 267, 543, 519, 1152, 6325, 4781, 547, 1683, 513, 3579, 2837, 585, 707, 1753, 568, 689, 606, 2011, 30690, 563, 12648, 930, 942, 547, 1382, 827, 519, 1648, 18026, 8028, 4559, 865, 596, 666, 4688, 593, 707, 1648, 12014, 2663, 593, 269, 8028, 4559, 616, 1634, 547, 8532, 513, 2603, 540, 1648, 865, 621, 779, 1655, 952, 596, 666, 4584, 606, 3608, 835, 585, 707, 1753, 563, 10144, 4444, 15409, 2011, 2783, 619, 1317, 789, 616, 2653, 547, 1847, 1472, 269, 5800, 762, 2011, 2783, 619, 1568, 519, 1482, 609, 519, 3710, 2987, 2011, 2783, 619, 596, 666, 1265, 538, 5656, 543, 8075, 269, 1358, 786, 29186, 782, 519, 3636, 543, 18519, 2011, 538, 519, 4055, 543, 786 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21952, 3590, 1923, 667, 1456, 11096, 9372, 9046, 4635, 12054, 7469, 2803, 692, 763, 667, 1456, 11096, 9372, 9046, 1107, 634, 667, 1456, 11096, 9372, 9046, 2829, 602, 918, 15806, 27206, 1472, 513, 9764, 3349, 609, 835, 14299, 22496, 1063, 1142, 6292, 540, 15806, 269, 1703, 568, 835, 14299, 22496, 1063, 1142, 14544, 269, 589, 14544, 949, 3548, 952, 646, 666, 4584, 1575, 519, 1079, 14299, 560, 6506, 11105, 547, 1864, 269, 2290, 14299, 22496, 949, 581, 13603, 909, 676, 1022, 835, 540, 922, 11105, 13794, 855, 711, 1312, 780, 306, 655, 7469, 648, 8827, 547, 667, 1456, 11096, 9372, 1107, 692, 10376, 14544, 568, 6719, 676, 519, 1739, 15554, 665, 1712, 1384, 3499, 15263, 623, 5157, 2639, 6112, 3020, 798, 454, 346, 476, 8946, 2562, 298, 3248, 303, 27912, 16810, 263, 29558, 4916, 12087, 298, 5157, 3910, 8863, 302, 4916, 12087, 298, 5157, 266, 272, 1110, 476, 276, 8079, 3248, 292, 2969, 3248, 303, 7473, 291, 32052, 263, 29558, 4916, 12087, 298, 5157, 3910, 8863, 302, 4916, 12087, 298, 5157, 266, 272, 1110, 476, 276, 7481, 8679, 7884, 2467, 616, 1614, 2829, 540, 14544, 2433, 8946, 2562, 32578, 267, 670, 7419, 16165, 312, 543, 661, 288, 16249, 269, 3371, 972, 616, 1079, 5033, 7469, 2803, 2433, 631, 1393, 343, 543, 513, 5033, 7469, 648, 5044, 585, 519, 15806, 269, 631, 1393, 343, 568, 1031, 971, 602, 1100, 1079, 15806, 949, 1569, 519, 4584, 1575, 610, 2322, 6658, 693, 519, 1482, 942, 269, 634, 5044, 568, 1031, 547, 1852, 519, 2623, 540, 1142, 14544, 269, 1809, 267, 5033, 7469, 2803, 666, 1267, 538, 4666, 6674, 1813, 547, 5752, 6959, 780, 24927, 1107, 692, 2387, 258, 514, 2850, 2387, 2387, 258, 514, 2850, 2387, 2387, 258, 514, 2850, 2387, 2387, 1109, 319, 1109, 2387, 258, 3698, 710, 715, 476, 276, 2387, 2387, 258, 3698, 710, 8946, 2562, 32578, 476, 273, 2387, 2387, 258, 3698, 710, 670, 7419, 16165, 312, 476, 272, 2387, 2387, 258, 3698, 710, 661, 288, 16249, 476, 271, 2387, 2387, 258, 3698, 710, 700, 9128, 307, 630, 874, 11133, 1341, 476, 275, 264, 4939, 715, 2387, 2387, 258, 3698, 710, 681, 20846, 630, 874, 11133, 1341, 476, 272, 264, 4939, 715, 2387, 2387, 1109, 319, 1109, 2387, 842, 319, 2387, 8063, 314, 301, 22049, 2387, 2387, 842, 319, 2387, 874, 559, 314, 301, 316, 815, 2715, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 7684, 282, 2387, 2387, 1109, 319, 1109, 2387, 9895, 4671, 544, 1393, 343, 282, 2387, 2387, 9895, 4671, 590, 314, 301, 22049, 2387, 2387, 1109, 319, 1109, 2387, 341, 1355, 319, 2387, 11687, 263, 1730, 842, 319, 2387, 874, 11133, 264, 2387, 2387, 346, 2387, 2387, 6892, 1109, 1730, 604, 319, 25464, 8063, 314, 874, 11133, 316, 2652, 670, 7419, 16165, 312, 2387, 2387, 13725, 1109, 1730, 261, 261, 1533, 314, 4041, 10499, 316, 11203, 661, 288, 16249, 2387, 2387, 13725, 1109, 1730, 261, 261, 1533, 314, 305, 20846, 316, 11203, 661, 288, 16249, 264, 2715, 2387, 2387, 13725, 1109, 19896, 1533, 602, 4189, 2387, 2387, 13725, 1109, 1730, 8063, 314, 874, 11133, 316, 815, 661, 288, 16249, 282, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 1730, 338, 2748, 263, 273, 5148, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 1730, 2745, 325, 1730, 263, 12131, 257, 4942, 3342, 9372, 4939, 323, 3217, 23643, 4939, 323, 543, 4939, 323, 834, 12131, 267, 2387, 2387, 18987, 3396, 1109, 1109, 1730, 874, 11133, 1341, 476, 272, 267, 700, 9128, 307, 1341, 476, 272, 267, 943, 11133, 1341, 476, 272, 5148, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 1730, 2745, 325, 1730, 263, 12131, 257, 4942, 3342, 9372, 4939, 323, 568, 14856, 834, 12131, 267, 943, 11133, 1341, 476, 272, 5148, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 19896, 5033, 7272, 739, 263, 261, 306, 314, 874, 11133, 8079, 814, 1100, 1198, 2387, 2387, 13725, 1109, 19896, 1282, 1491, 325, 1251, 2387, 2387, 13725, 1109, 19896, 1031, 547, 12687, 909, 17237, 15806, 2387, 2387, 13725, 1109, 19896, 1282, 2322, 325, 1251, 2387, 2387, 13725, 1109, 1730, 9895, 7272, 739, 263, 261, 306, 314, 874, 11133, 316, 5148, 2387, 2387, 6892, 1109, 31299, 2387, 2387, 348, 2387, 2387, 1109, 319, 1109, 2387, 2260, 1491, 909, 14299, 560, 6506, 2387, 2387, 341, 1355, 319, 2387, 339, 820, 6958, 1251, 263, 1730, 842, 319, 2387, 874, 11133, 264, 2387, 2387, 346, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 9895, 16062, 7159, 263, 261, 332, 1393, 343, 5148, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 19896, 1533, 602, 17237, 2387, 2387, 6892, 1109, 1730, 8063, 314, 874, 11133, 316, 815, 670, 7419, 16165, 312, 282, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 2745, 325, 1730, 263, 12131, 257, 4942, 3342, 9372, 4939, 323, 568, 12017, 787, 834, 12131, 267, 943, 11133, 1341, 476, 272, 5148, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 19896, 3548, 952, 30256, 616, 711, 4189, 2387, 2387, 6892, 1109, 1730, 11687, 263, 874, 11133, 5148, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 9895, 7272, 739, 263, 261, 332, 1393, 343, 5148, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 19896, 952, 8572, 547, 3548, 7227, 547, 581, 1129, 6817, 2387, 2387, 6892, 1109, 1730, 9895, 16062, 7159, 263, 261, 306, 314, 874, 11133, 316, 5148, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 338, 2748, 263, 272, 5148, 2387, 2387, 348, 2387, 2387, 1109, 319, 1109, 2387, 2260, 2322, 1524, 14299, 560, 6506, 2387, 2387, 341, 1355, 319, 2387, 1584, 6958, 1251, 263, 1730, 842, 319, 2387, 874, 11133, 264, 2387, 2387, 346, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 9895, 16062, 7159, 263, 261, 332, 1393, 343, 5148, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 19896, 1533, 602, 3206, 2387, 2387, 6892, 1109, 1730, 8063, 314, 874, 11133, 316, 815, 8946, 2562, 32578, 282, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 2745, 325, 1730, 263, 12131, 257, 4942, 3342, 9372, 4939, 323, 8380, 23643, 4939, 323, 543, 4939, 323, 1524, 834, 12131, 267, 2387, 2387, 7673, 1741, 1109, 1730, 874, 11133, 1341, 476, 272, 267, 700, 9128, 307, 1341, 476, 272, 267, 943, 11133, 1341, 476, 272, 5148, 2387, 2387, 6892, 1109, 1730, 2745, 325, 1730, 263, 12131, 257, 4942, 3342, 9372, 4939, 323, 568, 3206, 834, 12131, 267, 943, 11133, 1341, 476, 272, 5148, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 11687, 263, 4041, 10499, 5148, 2387, 2387, 6892, 1109, 1730, 11687, 27562, 20846, 5148, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 9895, 7272, 739, 263, 261, 332, 1393, 343, 5148, 2387, 2387, 348, 2387, 2387, 1109, 319, 1109, 2387, 341, 1355, 1730, 265, 15599, 2214, 615, 263, 1730, 341, 1355, 1730, 265, 1003, 264, 2387, 2387, 346, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 6112, 319, 25464, 272, 264, 2715, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 1730, 842, 1730, 265, 1775, 815, 1003, 282, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 1730, 338, 2748, 263, 272, 5148, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 1730, 339, 820, 6958, 1251, 28949, 328, 5148, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 1730, 338, 2748, 263, 271, 5148, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 1730, 1584, 6958, 1251, 28949, 328, 5148, 2387, 2387, 6892, 1109, 31299, 2387, 2387, 348, 2387, 2387, 1109, 319, 1109, 2387, 842, 319, 2387, 10852, 3890, 2387, 2387, 346, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 842, 319, 2387, 328, 282, 2387, 2387, 6892, 1109, 1730, 335, 628, 1348, 4671, 8142, 16182, 314, 301, 22049, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 19896, 3355, 1125, 519, 5033, 7469, 2803, 2387, 2387, 6892, 1109, 1730, 9895, 318, 8181, 263, 261, 332, 1393, 343, 267, 476, 271, 267, 476, 272, 5148, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 1721, 319, 25464, 328, 815, 476, 271, 282, 1775, 2999, 715, 282, 1775, 10030, 264, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 1730, 9895, 318, 8181, 263, 261, 306, 5157, 3910, 476, 271, 267, 476, 271, 5148, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 1721, 319, 25464, 328, 815, 476, 271, 282, 1775, 2999, 715, 282, 1775, 10030, 264, 2715, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 19896, 1711, 14544, 3157, 2387, 2387, 13725, 1109, 1730, 335, 628, 1348, 318, 22056, 263, 261, 628, 1348, 16182, 5157, 3910, 715, 26097, 267, 2387, 2387, 18987, 3396, 1741, 1109, 1730, 874, 559, 2214, 615, 267, 1299, 874, 559, 5157, 316, 5148, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 1730, 2745, 325, 1730, 263, 12131, 257, 4942, 3342, 9372, 4939, 323, 568, 3206, 834, 12131, 267, 1775, 1341, 476, 272, 5148, 2387, 2387, 6892, 1109, 31299, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 1721, 319, 25464, 328, 815, 476, 271, 282, 1775, 2999, 715, 282, 1775, 10030, 264, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 1730, 335, 628, 1348, 19553, 7765, 263, 628, 1348, 16182, 5157, 3910, 715, 26097, 5148, 2387, 2387, 348, 2387, 692, 9616, 1107, 634, 2630, 1982, 949, 29289, 1152, 609, 595, 735, 32078, 609, 5033, 7469, 648, 543, 533, 628, 1348, 5399, 269, 0, 2971, 476, 273, 269, 279, 4281, 5231, 744, 14701, 3143, 269, 476, 279, 4281, 692, 259, 344, 21948, 343, 21174, 2765, 2715, 268, 5038, 513, 317, 274, 1535, 317, 274, 266, 4366, 513, 317, 273, 1535, 317, 273, 586, 3287, 8203, 273, 266, 1626, 513, 317, 273, 1535, 317, 273, 268, 1321, 513, 1535, 586, 3287, 8203, 275, 268, 279, 513, 1535, 586, 3287, 8203, 273, 20742, 3287, 8203, 277, 20742, 3287, 8203, 275, 266, 272, 2410, 344, 3287, 264, 4151, 4223, 11490, 320, 2433, 524, 30298, 815, 476, 271, 269, 24833, 14065, 630, 5913, 1070, 6978, 1293, 815, 476, 9873, 692, 7445, 3667, 2715, 24169, 4153, 3847, 1496, 273, 513, 1422, 3847, 630, 343, 10559, 2765, 2715, 272, 2410, 273, 348, 1422, 3667, 2715, 305, 2393, 11764, 4153, 3847, 1496, 5038, 1422, 3667, 11513, 258, 272, 11892, 274, 513, 317, 274, 268, 4366, 1422, 3667, 11513, 258, 272, 11892, 273, 513, 317, 273, 586, 3287, 8203, 273, 268, 1626, 1422, 3667, 11513, 258, 272, 11892, 273, 513, 317, 273, 266, 1321, 1422, 3667, 11513, 258, 272, 348, 513, 586, 3287, 8203, 275, 266, 279, 1422, 3667, 11513, 258, 272, 348, 513, 586, 3287, 8203, 273, 266, 273, 513, 3917, 3287, 8203, 277, 3917, 3287, 8203, 275, 268, 272, 315, 261, 2073, 315, 2765, 11513, 8421, 630, 343, 10559, 3667, 11513, 258, 272, 16585, 2410, 4366, 1422, 3667, 11513, 258, 272, 11892, 273, 513, 317, 273, 268, 2190, 1422, 3667, 11513, 258, 272, 348, 513, 586, 3287, 8203, 273, 268, 279, 1422, 3667, 11513, 258, 272, 348, 513, 266, 274, 586, 3287, 8203, 275, 266, 273, 586, 3287, 8203, 273, 4153, 261, 1422, 2431, 9948, 315, 2431, 3738, 284, 322, 318, 272, 11971, 3287, 9385, 2431, 9948, 259, 32712, 2433, 524, 30298, 815, 476, 1015, 269, 275, 4391, 630, 5913, 1070, 6978, 1293, 815, 476, 4037, 692, 7445, 3847, 1422, 346, 1422, 842, 23214, 3189, 527, 1422, 318, 321, 3686, 3867, 344, 1422, 3847, 630, 1535, 1422, 2431, 3738, 476, 4153, 256, 3189, 2765, 2715, 3189, 527, 1422, 318, 320, 12453, 268, 346, 3189, 527, 1422, 318, 320, 3686, 3867, 277, 15396, 1321, 20867, 346, 3189, 527, 1422, 318, 320, 3686, 3867, 275, 348, 1314, 268, 4366, 20867, 346, 3189, 527, 1422, 318, 320, 3686, 3867, 273, 2410, 320, 8703, 273, 2410, 343, 8703, 273, 15396, 5038, 20867, 346, 320, 8703, 274, 2410, 343, 8703, 274, 18511, 346, 3189, 527, 1422, 318, 320, 3686, 3867, 275, 15396, 279, 20867, 346, 3189, 527, 1422, 318, 320, 3686, 3867, 273, 348, 1314, 268, 1626, 20867, 346, 320, 8703, 273, 2410, 343, 8703, 273, 15396, 273, 20867, 320, 268, 272, 14990, 267, 3189, 3944, 546, 7346, 527, 1422, 318, 320, 15396, 343, 268, 3189, 527, 1422, 318, 290, 272, 13157, 271, 1422, 2431, 1422, 4151, 0, 8310, 3643, 729, 281, 476, 2641, 9947, 476, 1708, 275, 267, 476, 4905, 281, 7871, 898, 568, 4867, 476, 2641, 9947, 476, 1708, 275, 267, 476, 4905, 281, 7871, 454, 307, 944, 18145, 454, 29479, 11833, 11545, 16721, 454, 14188, 596, 585, 1210, 519, 22245, 910 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 13322, 1029, 568, 1360, 20994, 585, 11093, 14088, 543, 1010, 3993, 538, 513, 2352, 3510, 563, 273, 269, 1215, 1082, 5993, 2243, 902, 723, 1044, 2944, 593, 14088, 2687, 547, 519, 3803, 1867, 888, 274, 269, 1215, 1279, 1705, 14088, 781, 4651, 6108, 538, 4758, 21981, 1354, 519, 14130, 9730, 888, 275, 269, 5696, 842, 5267, 602, 519, 13322, 4564, 519, 1883, 547, 1010, 8823, 267, 799, 3123, 14088, 547, 18956, 865, 4625, 689, 519, 23827, 566, 563, 276, 269, 1548, 1281, 1733, 23124, 2161, 950, 14088, 6368, 7024, 547, 519, 6413, 286, 834, 11039, 267, 1018, 798, 596, 917, 910, 519, 13322, 1029, 1394, 4799, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 15987, 14088, 949, 711, 581, 3395, 909, 538, 519, 1650, 3294, 267, 519, 1650, 543, 1010, 8823, 7866, 519, 1576, 540, 1010, 1272, 563, 8512, 476, 272, 281, 4208, 798, 596, 1589, 865, 1082, 8479, 16989, 2835, 1445, 593, 4947, 540, 2085, 2152, 888, 8512, 476, 273, 281, 1215, 798, 596, 1589, 14088, 9428, 909, 689, 519, 4098, 540, 519, 1433, 547, 519, 1439, 540, 519, 1433, 286, 2107, 3085, 1405, 646, 888, 8512, 476, 274, 281, 769, 1018, 2081, 1281, 14088, 2097, 540, 2085, 538, 713, 1433, 286, 14674, 930, 1808, 8090, 799, 1448, 547, 14088, 3395, 909, 563, 13625, 13445, 476, 273, 454, 4407, 14088, 10787, 1067, 568, 2938, 547, 581, 513, 3787, 540, 513, 19225, 2989, 1268, 693, 2053, 267, 824, 2053, 646, 9727, 22838, 563, 8512, 476, 272, 281, 4208, 798, 596, 1589, 14088, 568, 2938, 607, 513, 19225, 2989, 1268, 286, 1548, 568, 519, 6169, 646, 568, 31604, 888, 8512, 476, 273, 281, 4208, 798, 596, 1589, 14088, 1223, 849, 1044, 2938, 607, 513, 1360, 12703, 1268, 286, 25737, 707, 6169, 563, 8512, 476, 274, 281, 1684, 596, 1589, 14088, 568, 513, 12703, 1268, 610, 513, 19225, 2989, 1268, 286, 2107, 568, 646, 513, 3575, 540, 519, 1079, 888, 13625, 13445, 476, 274, 454, 2005, 781, 4241, 547, 1294, 606, 2278, 946, 513, 1360, 4158, 1641, 538, 1931, 547, 2995, 513, 1650, 585, 1762, 4079, 563, 8512, 476, 272, 281, 1684, 596, 1589, 713, 1650, 568, 10853, 538, 922, 1543, 286, 4208, 610, 1946, 711, 888, 8512, 476, 273, 281, 1684, 596, 1589, 1453, 1058, 581, 1352, 2741, 1229, 689, 4158, 3377, 543, 2093, 286, 4208, 610, 1946, 711, 888, 8512, 476, 274, 281, 1684, 596, 1589, 7820, 3988, 666, 4324, 689, 713, 1650, 286, 1403, 865, 267, 875, 286, 1403, 711, 267, 1946, 711, 888, 1607, 3296, 3568, 476, 31079, 1913, 454, 26140, 269, 476, 273, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 1449, 5161, 540, 476, 276, 2110, 2626, 2055, 267, 476, 1015, 2110, 1557, 2055, 267, 543, 476, 272, 630, 1993, 476, 274, 264, 1557, 3584, 563, 14112, 8382, 5999, 454, 272, 269, 1548, 1893, 1281, 3057, 3570, 21334, 602, 646, 3112, 1224, 888, 273, 269, 2311, 7247, 1281, 7054, 2088, 1448, 513, 15148, 591, 888, 274, 269, 5808, 5206, 834, 299, 6756, 532, 689, 519, 6008, 788, 32437, 257, 888, 275, 269, 1548, 568, 519, 2012, 540, 519, 2197, 5258, 865, 1454, 602, 621, 1100, 3476, 6818, 888, 276, 269, 1548, 1281, 519, 2278, 8263, 827, 519, 5467, 2429, 519, 1433, 888, 14112, 4828, 5999, 454, 272, 269, 4208, 729, 834, 21413, 21824, 540, 6489, 610, 20539, 15282, 257, 669, 770, 2213, 888, 273, 269, 4208, 568, 519, 1433, 11331, 1403, 2201, 513, 15604, 781, 13957, 513, 13488, 518, 538, 519, 1650, 865, 22394, 888, 274, 269, 5808, 610, 1018, 5012, 519, 5467, 1524, 519, 4636, 2619, 538, 3848, 476, 274, 888, 275, 269, 14674, 519, 2497, 540, 519, 1433, 563, 276, 269, 14674, 834, 16100, 338, 13560, 538, 519, 20283, 532, 1744, 20760, 4799, 277, 269, 4208, 1281, 20769, 7559, 1224, 888, 278, 269, 769, 3848, 476, 276, 267, 1018, 1007, 1826, 540, 1433, 1281, 23160, 332, 8759, 3409, 547, 2972, 888, 279, 269, 14674, 519, 15669, 540, 834, 299, 6756, 532, 689, 519, 6008, 788, 32437, 4799, 280, 269, 1548, 798, 519, 5467, 543, 23160, 332, 8759, 3858, 2390, 538, 3848, 476, 275, 888, 1015, 269, 1215, 568, 30983, 513, 6249, 538, 834, 11073, 2515, 519, 16011, 540, 5689, 321, 1251, 257, 888, 2237, 606, 1557, 585, 21450, 540, 519, 1739, 3584, 912, 13625, 13445, 476, 272, 454, 1432, 568, 519, 4644, 3297, 519, 3209, 10643, 2870, 513, 2347, 4845, 286, 1548, 1281, 519, 4845, 1611, 286, 1548, 1281, 519, 4845, 2307, 519, 5467, 547, 14719, 622, 888, 13625, 13445, 476, 273, 454, 1432, 616, 519, 2640, 547, 713, 1433, 1373, 7317, 585, 519, 5467, 286, 1215, 1281, 519, 2278, 1118, 621, 7317, 286, 1772, 519, 2278, 2500, 610, 23696, 538, 1818, 519, 1433, 7317, 888, 13625, 13445, 476, 274, 454, 1432, 616, 519, 3853, 543, 18144, 540, 1142, 1915, 538, 519, 3209, 286, 21302, 1614, 1114, 3197, 543, 741, 18144, 267, 19696, 693, 2547, 835, 1383, 1142, 563, 1607, 3296, 3568, 476, 277, 4510, 1913, 454, 26140, 269, 476, 274, 3817, 693, 476, 4968, 1913, 829, 2985, 264, 0, 3963, 16376, 4530, 888, 293, 3975, 4152, 2488, 513, 2268, 540, 9422, 9115, 540, 519, 3049, 269, 28871, 23611, 9274, 267, 18720, 543, 3623, 720, 616, 7318, 585, 9422, 2418, 269, 589, 3049, 1449, 1867, 3568, 1344, 971, 607, 7720, 626, 675, 267, 19871, 267, 6052, 267, 17316, 516, 267, 6226, 652, 2225, 267, 17491, 267, 853, 1105, 543, 6886, 563, 5804, 513, 10683, 267, 14132, 543, 13265, 12696, 685, 21169, 267, 20555, 2154, 4152, 585, 1022, 835, 540, 519, 1614, 3119, 4128, 563, 268, 7464, 2065, 4493, 585, 14499, 3049, 268, 2164, 689, 3049, 2079, 666, 581, 1031, 547, 2392, 9057, 710, 519, 3902, 540, 3049, 269, 898, 568, 1271, 547, 1174, 602, 1449, 1267, 1058, 581, 24565, 538, 519, 2796, 540, 2831, 547, 581, 10480, 543, 519, 8653, 540, 8023, 563, 268, 20638, 4879, 268, 898, 568, 21411, 547, 7747, 519, 5920, 543, 9329, 540, 519, 3049, 269, 16376, 4152, 585, 6662, 4879, 568, 1869, 2838, 547, 917, 875, 602, 3049, 547, 3565, 547, 519, 2949, 9422, 10421, 540, 519, 3662, 593, 513, 3232, 4493, 563, 268, 1677, 1020, 513, 1942, 2500, 8023, 3375, 268, 16376, 1942, 568, 519, 1034, 1271, 2460, 540, 10683, 267, 14132, 543, 13265, 2504, 1062, 269, 9453, 6616, 519, 9422, 2298, 540, 519, 12349, 3049, 543, 9140, 602, 3049, 799, 8604, 10464, 829, 1770, 540, 3940, 610, 1648, 610, 20566, 949, 5555, 1831, 606, 7199, 8023, 3635, 607, 621, 949, 1491, 3476, 942, 547, 3035, 519, 5551, 1267, 630, 339, 13759, 2597, 2744, 610, 30184, 540, 5144, 3092, 28593, 293, 3975, 1449, 1867, 616, 1152, 3730, 267, 2705, 267, 952, 519, 2338, 616, 6956, 543, 1031, 7157, 547, 25666, 513, 7059, 32311, 585, 707, 23636, 563, 2690, 2417, 6351, 3717, 547, 938, 10515, 305, 823, 12594, 2319, 593, 5131, 11910, 476, 5197, 271, 476, 29045, 476, 278, 5655, 269, 0, 293, 296, 5085, 291, 5508, 5990, 5442, 309, 2894, 3582, 454, 1607, 3498, 568, 513, 27402, 540, 772, 2529, 269, 14664, 3498, 5395, 269, 3143, 269, 476, 1556, 270, 277, 4391, 267, 25628, 267, 19429, 593, 5463, 269, 476, 1321, 267, 476, 1220, 277, 267, 799, 729, 3294, 513, 27402, 540, 772, 2529, 269, 14664, 3498, 5395, 269, 3143, 269, 476, 1015, 270, 271, 2764, 267, 18089, 267, 19429, 593, 5463, 269, 476, 2641, 267, 476, 1220, 272, 630, 852, 772, 2529, 269, 4793, 269, 3143, 269, 476, 278, 267, 13679, 267, 6021, 277, 1070, 799, 538, 2490, 10645, 519, 4324, 540, 772, 2529, 269, 3038, 29850, 13335, 3143, 269, 476, 2568, 270, 27038, 267, 4510, 277, 267, 19429, 5463, 269, 476, 2420, 267, 476, 1220, 271, 563, 268, 645, 19272, 294, 4629, 26685, 5508, 5990, 5442, 309, 2894, 3582, 454, 763, 1459, 8798, 12211, 2489, 547, 2780, 3758, 1949, 269, 2859, 4481, 267, 519, 1459, 8798, 3322, 513, 7856, 3758, 1062, 602, 19132, 1239, 1210, 1312, 3060, 7923, 4859, 630, 2793, 306, 264, 543, 4859, 1858, 3060, 630, 306, 3198, 264, 10873, 563, 763, 2165, 968, 12803, 1062, 892, 4016, 547, 519, 1062, 2966, 547, 1683, 2780, 3498, 3292, 609, 1569, 547, 1239, 6740, 593, 4859, 3457, 538, 513, 9266, 267, 17396, 1259, 269, 11711, 1949, 12404, 519, 3877, 540, 875, 1239, 568, 6740, 593, 4859, 3457, 689, 3498, 3292, 269, 1280, 3236, 267, 4859, 3457, 616, 3622, 3625, 2232, 762, 267, 538, 602, 1239, 568, 9619, 609, 519, 10545, 30704, 640, 540, 835, 3625, 282, 2789, 267, 733, 27631, 7161, 1106, 606, 6708, 269, 634, 2450, 540, 519, 1880, 3625, 267, 3335, 476, 24423, 25466, 538, 3259, 267, 5673, 2390, 519, 4890, 3457, 3238, 269, 13335, 3292, 3622, 7662, 1239, 689, 3758, 1949, 31632, 676, 31632, 269, 9182, 267, 3758, 1949, 616, 3743, 585, 16900, 11837, 1063, 3498, 1982, 2232, 1606, 10628, 543, 4859, 3926, 2232, 1606, 10628, 563, 17572, 1949, 4558, 12531, 540, 1239, 593, 4859, 3457, 269, 634, 2165, 968, 14179, 2541, 892, 4016, 547, 519, 4015, 540, 1239, 7161, 585, 835, 2347, 3758, 1062, 3236, 269, 1452, 4859, 3457, 949, 581, 851, 1431, 540, 2582, 2168, 3457, 610, 9266, 10070, 540, 1896, 2168, 3457, 269, 23675, 949, 723, 1569, 547, 2789, 3758, 1062, 12531, 6740, 593, 835, 610, 811, 4859, 3457, 563, 17572, 1949, 2226, 1896, 1114, 2010, 540, 6119, 267, 1519, 2834, 6119, 543, 15682, 6119, 269, 13335, 3292, 4558, 543, 23074, 1239, 689, 2834, 6119, 607, 733, 27631, 267, 14477, 3015, 12415, 540, 25466, 269, 2060, 513, 31632, 268, 5417, 816, 762, 2232, 1606, 10628, 267, 3156, 949, 1224, 543, 2328, 1239, 693, 1022, 31632, 15558, 1369, 513, 3758, 269, 10241, 666, 1332, 6119, 676, 1603, 1239, 547, 519, 1439, 540, 513, 3758, 282, 519, 2450, 540, 519, 3758, 4679, 676, 519, 2179, 540, 1239, 2854, 269, 17957, 267, 3156, 666, 959, 15635, 622, 6119, 676, 4227, 519, 3758, 2450, 547, 1022, 1880, 3259, 269, 10241, 616, 9003, 3743, 585, 12180, 1239, 6740, 1369, 2834, 6119, 267, 2094, 3758, 1949, 616, 711, 3222, 540, 519, 1543, 540, 1142, 2834, 3758, 563, 293, 3796, 616, 4843, 547, 3498, 3292, 998, 15682, 6119, 602, 1106, 513, 3529, 6438, 15796, 540, 6119, 543, 1016, 29715, 1559, 5627, 811, 6119, 269, 8606, 523, 1868, 616, 2189, 547, 1463, 1559, 855, 711, 547, 3758, 1062, 12531, 269, 13335, 3292, 2697, 6119, 676, 2619, 12849, 16922, 540, 519, 32197, 543, 519, 4408, 540, 782, 21214, 1463, 1559, 269, 634, 2347, 15682, 2497, 568, 1572, 519, 3758, 1062, 4408, 10628, 269, 1280, 1142, 3758, 267, 3758, 1949, 2226, 10305, 971, 607, 9562, 1344, 267, 1569, 22864, 267, 1569, 2053, 267, 543, 14842, 2053, 563, 17572, 1949, 1419, 8415, 519, 2533, 540, 5665, 1062, 3965, 524, 2851, 1634, 607, 17280, 524, 2851, 543, 2985, 524, 2851, 269, 1452, 524, 2851, 3622, 2874, 540, 1062, 3965, 10889, 619, 6740, 538, 19979, 267, 4396, 15581, 3965, 540, 519, 2780, 269, 595, 2286, 568, 513, 4480, 547, 3432, 909, 1239, 13668, 689, 3498, 3292, 676, 9494, 4749, 15600, 1239, 538, 3965, 585, 2656, 11291, 676, 519, 3758, 1062, 1510, 2348, 547, 9308, 23074, 519, 1239, 689, 519, 4859, 3457, 269, 595, 2286, 568, 849, 3730, 1282, 3758, 11339, 282, 519, 3758, 1062, 949, 2328, 1239, 547, 519, 3965, 21461, 543, 2132, 1852, 547, 519, 3498, 1354, 519, 1239, 568, 2965, 2854, 547, 1875, 19581, 8684, 4859, 269, 16828, 267, 519, 524, 3737, 1239, 568, 2854, 547, 519, 4859, 3457, 563, 763, 1533, 540, 519, 21461, 5673, 2390, 519, 11007, 1063, 519, 21461, 543, 519, 4859, 3457, 269, 589, 21461, 568, 968, 30236, 892, 950, 922, 9115, 616, 4010, 519, 1482, 607, 519, 1239, 6740, 593, 519, 5817, 4859, 3457, 269, 589, 21461, 568, 968, 323, 8812, 892, 950, 922, 1239, 568, 18960, 982, 519, 1239, 6740, 593, 4859, 3457, 282, 513, 21461, 3587, 18660, 950, 519, 3758, 1062, 814, 2854, 547, 519, 21461, 267, 855, 519, 1239, 814, 711, 2943, 1044, 2854, 547, 519, 4859, 3457, 269, 589, 21461, 568, 968, 560, 1446, 892, 950, 922, 9115, 616, 4587, 982, 1239, 6740, 593, 519, 4859, 3457, 282, 513, 21461, 3587, 588 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3786, 5604, 267, 519, 5399, 267, 519, 3046, 13715, 267, 543, 519, 1102, 3305, 776, 267, 799, 729, 5234, 539, 676, 14586, 945, 1185, 5892, 4371, 23909, 971, 607, 13500, 610, 7952, 23262, 563, 21357, 6901, 5342, 593, 3786, 31852, 676, 519, 9399, 941, 1776, 10058, 4183, 269, 2311, 2547, 476, 278, 267, 1822, 14586, 941, 16271, 547, 6901, 282, 1034, 5747, 607, 513, 1267, 267, 1282, 519, 6901, 610, 2663, 269, 26062, 31644, 9972, 13500, 543, 824, 2564, 10986, 941, 9901, 693, 715, 675, 3088, 326, 267, 1310, 519, 2112, 267, 609, 10963, 1996, 8103, 269, 1358, 3769, 519, 2212, 540, 519, 4436, 4414, 9061, 267, 4557, 3293, 20485, 267, 16758, 19971, 267, 543, 24118, 3173, 269, 31401, 3576, 1747, 693, 26401, 267, 645, 1075, 1156, 342, 12245, 267, 667, 778, 879, 267, 14844, 345, 933, 8814, 268, 18360, 3578, 1993, 267, 3026, 340, 1263, 600, 1889, 267, 24497, 839, 1962, 6686, 1188, 267, 590, 778, 11420, 27346, 523, 267, 543, 11992, 269, 2368, 18808, 609, 10322, 16478, 540, 2367, 543, 2021, 267, 519, 2126, 540, 2112, 16398, 267, 2081, 547, 25559, 3114, 9604, 267, 1382, 883, 1007, 10074, 543, 5061, 267, 543, 519, 6668, 540, 10792, 2175, 563, 297, 28779, 14586, 941, 13671, 693, 19161, 523, 5174, 1564, 523, 267, 554, 2416, 1729, 711, 1634, 607, 835, 540, 519, 10782, 13122, 282, 855, 538, 519, 26093, 3803, 3275, 540, 519, 2112, 2175, 941, 4847, 547, 14016, 622, 15166, 5268, 1227, 269, 1879, 3703, 10136, 3357, 2066, 519, 3786, 593, 476, 1428, 4989, 476, 3707, 276, 267, 789, 11402, 476, 1015, 267, 1822, 796, 10767, 1221, 24767, 525, 267, 513, 986, 3101, 27193, 639, 15435, 543, 476, 2568, 267, 1822, 7210, 543, 12955, 14586, 16081, 4364, 883, 32036, 4765, 3046, 13715, 1510, 1426, 610, 1216, 563, 302, 24249, 5576, 785, 2401, 729, 782, 602, 11542, 1063, 873, 543, 2669, 693, 519, 3946, 540, 519, 21647, 269, 589, 812, 782, 1932, 1480, 267, 2407, 540, 20924, 899, 519, 1964, 540, 721, 269, 634, 796, 331, 1731, 601, 5006, 540, 782, 1909, 3631, 910, 513, 13303, 267, 513, 4807, 529, 528, 267, 513, 2112, 1527, 924, 518, 269, 1323, 8723, 812, 945, 12943, 519, 1289, 540, 25903, 269, 4634, 538, 519, 10782, 540, 6381, 30546, 5576, 785, 2401, 1705, 9058, 1919, 267, 20083, 676, 1100, 835, 269, 1261, 7283, 3020, 547, 1010, 7642, 267, 519, 4600, 646, 5219, 547, 607, 1250, 1453, 269, 1261, 6854, 519, 9399, 856, 543, 3025, 9800, 563, 2026, 930, 2877, 547, 1448, 856, 267, 713, 568, 513, 14070, 1242, 2272, 540, 3140, 2621, 543, 513, 9758, 5869, 269, 2368, 3140, 7606, 941, 5916, 547, 1118, 835, 1915, 538, 519, 1433, 543, 930, 942, 14604, 941, 27772, 269, 744, 12921, 541, 5576, 785, 2401, 729, 513, 7184, 30096, 812, 267, 4547, 547, 30493, 676, 2713, 998, 513, 942, 540, 16897, 538, 513, 2990, 1141, 646, 1223, 1118, 513, 1507, 267, 855, 1483, 3017, 269, 634, 7873, 839, 725, 540, 1346, 3020, 2621, 538, 713, 1433, 616, 4487, 995, 269, 589, 1390, 1433, 2336, 2690, 519, 14586, 267, 945, 5249, 896, 9399, 22651, 267, 519, 4357, 10909, 789, 6976, 513, 3232, 2557, 547, 519, 9399, 654, 16630, 3873, 30835, 268, 7638, 342, 5306, 2426, 3333, 879, 696, 600, 339, 1107, 654, 309, 11190, 910, 519, 14586, 2705, 267, 4607, 4986, 267, 1346, 945, 941, 2192, 941, 2366, 1394, 547, 519, 1292, 3786, 267, 2356, 547, 5884, 269, 634, 10909, 4607, 1007, 267, 8902, 2978, 537, 516, 3464, 2394, 891, 1932, 1223, 1100, 3476, 2743, 519, 7569, 540, 741, 12820, 563, 1103, 519, 2022, 8705, 1296, 267, 519, 3786, 4797, 538, 946, 269, 3245, 476, 3707, 276, 998, 476, 3707, 279, 267, 519, 3786, 729, 1031, 676, 519, 27469, 607, 513, 7890, 585, 9399, 10492, 32261, 4693, 269, 2991, 476, 3707, 279, 267, 950, 7366, 540, 5215, 540, 6803, 16586, 941, 30461, 689, 9456, 2342, 267, 621, 4371, 16586, 689, 16231, 657, 21754, 25474, 2394, 789, 1223, 581, 759, 9116, 1194, 269, 898, 849, 6039, 607, 513, 4108, 3490, 585, 519, 2136, 2276, 267, 799, 9738, 4229, 538, 519, 2197, 269, 898, 729, 6806, 538, 476, 3422, 271, 269, 2311, 519, 1202, 14571, 540, 15000, 267, 1585, 18189, 338, 723, 1044, 9112, 543, 8704, 1934, 12727, 15946, 454, 763, 3786, 7245, 1705, 4986, 547, 2777, 519, 14586, 945, 941, 18297, 538, 269, 4107, 540, 873, 1185, 1100, 8122, 936, 741, 9843, 267, 543, 941, 1510, 1216, 543, 1426, 269, 1703, 729, 1631, 2698, 14784, 538, 19161, 523, 268, 645, 1564, 523, 543, 513, 27193, 639, 15435, 13264, 856, 267, 538, 519, 3923, 540, 4728, 4805, 476, 1240, 267, 12739, 14586, 829, 1639, 538, 519, 3786, 543, 519, 1297, 540, 7972, 585, 519, 1974, 689, 5130, 547, 4571, 5025, 1440, 559, 476, 3707, 276, 729, 476, 3374, 267, 1822, 563, 763, 1101, 19524, 540, 667, 778, 879, 267, 23664, 3405, 654, 7564, 14982, 548, 267, 729, 25323, 689, 1010, 2990, 676, 26081, 5341, 670, 9404, 2401, 1310, 10997, 540, 12638, 941, 4547, 1996, 1864, 676, 513, 22540, 5480, 585, 519, 7972, 540, 1896, 14586, 945, 1185, 5747, 1310, 1373, 16094, 27052, 269, 6271, 667, 778, 879, 16710, 656, 267, 5981, 13100, 1251, 22603, 267, 729, 849, 25323, 676, 670, 9404, 2401, 543, 729, 30461, 689, 519, 13303, 5428, 585, 8840, 519, 7453, 3652, 1305, 676, 661, 545, 651, 563, 9827, 1851, 519, 667, 778, 879, 31852, 941, 476, 11820, 4550, 9539, 21532, 17557, 23464, 5443, 267, 1519, 519, 1234, 3164, 526, 9410, 15281, 655, 7238, 28705, 267, 835, 540, 519, 27428, 540, 519, 17557, 4762, 612, 1308, 5783, 269, 15281, 655, 7238, 28705, 1185, 1044, 6836, 538, 513, 4436, 5480, 543, 26722, 540, 1726, 1783, 282, 1310, 1373, 30992, 547, 942, 6039, 267, 646, 729, 1101, 2366, 547, 519, 590, 778, 11420, 27346, 523, 5834, 3786, 2282, 12670, 267, 1287, 2663, 547, 11370, 1013, 342, 12245, 543, 6368, 547, 667, 778, 879, 269, 2991, 519, 2112, 267, 646, 4797, 547, 840, 778, 1996, 519, 13303, 12512, 267, 1519, 1818, 513, 4633, 1354, 519, 1977, 6837, 563, 763, 2760, 268, 2056, 32422, 4478, 891, 2038, 5834, 13122, 1128, 2683, 513, 562, 698, 3101, 2631, 540, 4250, 1851, 782, 16586, 602, 5280, 547, 24773, 880, 782, 1761, 11685, 543, 9880, 540, 13609, 781, 12512, 269, 1717, 267, 519, 6574, 4161, 547, 13609, 1131, 711, 2097, 689, 1010, 2797, 17837, 855, 689, 1369, 1010, 1378, 16034, 269, 1635, 2038, 476, 4350, 275, 267, 513, 7088, 7708, 6016, 18326, 729, 28823, 602, 12219, 547, 25010, 3388, 646, 1185, 5249, 865, 2182, 547, 3035, 563, 11675, 22894, 5576, 785, 2401, 729, 4535, 883, 513, 4436, 7826, 1920, 593, 4989, 476, 2764, 267, 476, 5002, 279, 269, 2991, 11504, 4123, 3506, 267, 646, 5249, 585, 1010, 4651, 779, 3484, 12227, 2754, 269, 1261, 5249, 585, 4436, 4987, 543, 2663, 8678, 519, 13303, 9549, 269, 1323, 2309, 626, 1870, 2006, 609, 513, 6492, 585, 519, 32067, 1919, 538, 1272, 267, 646, 8604, 606, 12691, 11134, 547, 1831, 513, 29053, 5869, 269, 4438, 519, 2112, 267, 2705, 267, 646, 13234, 513, 12051, 602, 6964, 811, 982, 476, 272, 267, 1822, 14470, 7642, 267, 9494, 873, 689, 5834, 13122, 543, 608, 3410, 1588, 269, 769, 476, 1960, 274, 1010, 1650, 729, 1500, 883, 519, 24697, 1975, 1408, 6199, 4183, 4670, 5576, 785, 2401, 781, 5903, 563, 4263, 519, 1614, 22365, 14551, 13122, 519, 9601, 941, 7166, 676, 519, 9688, 32669, 540, 19335, 17088, 9817, 269, 7108, 30836, 941, 15504, 689, 519, 24767, 525, 1354, 19746, 267, 855, 519, 2021, 781, 4552, 729, 2759, 1354, 2669, 269, 2311, 7066, 4565, 1074, 320, 267, 547, 9350, 519, 9601, 267, 519, 12625, 3760, 729, 1500, 547, 1413, 899, 513, 5721, 6728, 267, 2347, 609, 16995, 9219, 269, 20727, 323, 2033, 330, 1031, 2098, 344, 9383, 517, 5174, 3154, 538, 922, 3154, 20830, 269, 769, 4334, 547, 26401, 267, 519, 1614, 22365, 14551, 13122, 941, 3833, 1507, 269, 4107, 540, 519, 9601, 693, 891, 13122, 941, 12617, 538, 29365, 693, 1101, 269, 590, 984, 756, 6759, 337, 543, 2142, 22119, 385, 376, 1815, 3459, 17938, 11167, 543, 8781, 4703, 538, 3735, 476, 3707, 273, 267, 547, 12404, 519, 2963, 267, 607, 1705, 7066, 4565, 1074, 320, 538, 4728, 476, 3707, 274, 269, 634, 4703, 941, 14616, 538, 1930, 3595, 17541, 543, 519, 6967, 7633, 16760, 883, 8869, 563, 763, 3786, 4957, 922, 2012, 547, 19161, 523, 5174, 1564, 523, 543, 729, 10736, 883, 513, 5834, 3786, 538, 476, 3707, 274, 269, 7642, 609, 4914, 1780, 7964, 941, 6854, 972, 547, 581, 22121, 585, 4436, 4182, 1023, 29802, 13383, 267, 4352, 1360, 1906, 15377, 941, 1500, 269, 6168, 476, 1220, 7642, 941, 4847, 547, 6294, 3433, 547, 21157, 543, 827, 476, 272, 267, 4335, 23826, 7642, 941, 4847, 547, 6294, 3433, 547, 16848, 267, 1312, 3576, 1747, 896, 519, 19875, 540, 15377, 585, 4436, 4182, 1023, 563, 1103, 4864, 476, 3707, 275, 267, 513, 1007, 3296, 729, 2813, 543, 713, 2968, 519, 865, 10777, 834, 342, 1580, 781, 3786, 2668, 1635, 5437, 476, 3707, 275, 713, 3786, 4607, 1472, 476, 280, 267, 1822, 2021, 543, 1762, 6690, 269, 4107, 540, 1346, 945, 941, 2111, 547, 960, 18423, 1152, 585, 513, 2110, 1247, 543, 941, 1287, 2366, 593, 547, 824, 5834, 13122, 610, 10553, 2000, 629, 712, 13122, 269, 634, 1101, 2021, 2028, 539, 972, 941, 2717, 525, 267, 18486, 1310, 519, 8959, 32160, 772, 19828, 269, 11524, 941, 6014, 2021, 689, 12996, 610, 21640, 267, 11843, 689, 26401, 269, 7324, 1346, 945, 2760, 2451, 19161, 523, 5174, 1564, 523, 941, 12540, 582, 543, 14732, 7671, 267, 945, 5747, 972, 538, 5988, 610, 4728, 476, 3707, 276, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24133, 2853, 563, 763, 1985, 1079, 17631, 547, 6085, 13713, 593, 519, 29807, 529, 941, 7338, 29464, 263, 20776, 520, 267, 476, 14341, 280, 267, 646, 12799, 1031, 7083, 264, 543, 8834, 631, 1495, 344, 630, 20776, 520, 267, 476, 13679, 271, 338, 1040, 7439, 320, 674, 597, 2421, 4967, 602, 7766, 3703, 17631, 685, 6589, 2887, 14980, 2394, 519, 26198, 540, 8176, 4083, 543, 519, 3703, 11601, 540, 25512, 599, 630, 14917, 273, 1040, 674, 597, 2421, 1287, 267, 585, 519, 1101, 942, 538, 519, 1353, 540, 17631, 685, 6589, 540, 519, 29807, 529, 267, 16668, 3007, 547, 654, 269, 2983, 2917, 985, 11420, 632, 13744, 724, 267, 945, 3576, 5279, 540, 519, 10656, 12051, 693, 7935, 778, 538, 476, 14341, 276, 269, 3571, 2272, 630, 13700, 269, 676, 918, 9445, 523, 15842, 2131, 267, 538, 674, 597, 2421, 267, 264, 568, 811, 3102, 543, 4440, 811, 4977, 982, 824, 476, 1704, 628, 10601, 2959, 269, 1261, 4330, 519, 10034, 540, 7935, 778, 267, 4446, 18649, 267, 18095, 599, 267, 543, 13259, 24703, 21171, 269, 634, 2959, 593, 799, 646, 1759, 1010, 2272, 941, 7361, 689, 7935, 778, 267, 513, 2749, 20495, 676, 12206, 267, 2943, 5693, 1271, 538, 29807, 328, 1686, 1991, 547, 519, 4473, 540, 18937, 338, 926, 269, 2983, 2917, 985, 11420, 7150, 602, 476, 1240, 267, 1822, 29807, 529, 8452, 538, 19939, 9635, 267, 609, 5216, 13941, 693, 5842, 329, 31488, 543, 5722, 693, 18095, 599, 267, 2417, 2963, 540, 2038, 476, 1704, 628, 10601, 1719, 538, 519, 29807, 328, 11175, 538, 3127, 269, 2983, 2917, 985, 11420, 1767, 602, 29807, 529, 941, 547, 581, 1336, 538, 1082, 23194, 607, 22278, 267, 6300, 26283, 267, 13492, 5443, 267, 6694, 1235, 267, 543, 2523, 538, 519, 14131, 344, 4123, 630, 320, 4235, 689, 519, 18682, 540, 1896, 2249, 540, 13869, 799, 11729, 513, 14984, 1786, 342, 1040, 2859, 982, 1010, 29629, 2456, 267, 646, 15091, 519, 1909, 540, 519, 29807, 529, 538, 519, 4262, 28703, 4123, 540, 30899, 520, 269, 1306, 513, 21471, 267, 1010, 2272, 540, 29807, 328, 4978, 543, 2853, 914, 7590, 1447, 24396, 9186, 982, 1346, 540, 804, 518, 673, 5830, 971, 607, 6833, 787, 543, 7083, 269, 1261, 5526, 711, 547, 723, 2938, 3595, 17633, 267, 4352, 646, 1185, 4862, 540, 519, 17487, 478, 3279, 20795, 15840, 337, 5953, 332, 693, 18937, 338, 926, 269, 3571, 2272, 540, 519, 1187, 5644, 568, 1134, 5483, 269, 13575, 267, 646, 11339, 9797, 827, 519, 29807, 529, 267, 862, 2056, 741, 1164, 5683, 4441, 269, 3571, 2272, 540, 741, 18381, 267, 30300, 1513, 267, 10571, 267, 6469, 10847, 267, 543, 1514, 9821, 568, 849, 5483, 543, 3573, 563, 8448, 476, 1704, 628, 10601, 17631, 547, 6085, 593, 519, 29807, 529, 941, 12832, 3712, 334, 2494, 25458, 328, 630, 14321, 280, 268, 14378, 278, 264, 945, 8452, 538, 5080, 520, 476, 13679, 277, 543, 6170, 1034, 540, 1010, 1272, 538, 16156, 267, 9683, 5080, 520, 12212, 282, 717, 14283, 589, 2426, 1512, 630, 323, 269, 476, 15757, 278, 1070, 606, 2038, 17135, 538, 25512, 599, 538, 476, 14917, 280, 945, 9415, 29807, 529, 547, 7017, 538, 519, 1007, 4099, 282, 1010, 16748, 267, 6790, 344, 985, 5069, 9457, 630, 15757, 272, 268, 7761, 1070, 849, 8292, 593, 519, 10723, 3595, 693, 18937, 338, 926, 543, 593, 513, 11454, 538, 5080, 520, 5148, 3627, 744, 1324, 2023, 267, 945, 8452, 538, 25512, 599, 538, 476, 12739, 280, 543, 6170, 1614, 1296, 538, 5080, 520, 543, 5795, 513, 6140, 25091, 2272, 540, 29807, 328, 4978, 543, 2853, 269, 744, 1324, 2023, 15091, 741, 26988, 960, 968, 1729, 971, 607, 616, 5606, 3305, 543, 631, 16014, 762, 282, 4734, 1100, 2494, 3186, 3482, 540, 28057, 6862, 7985, 513, 23548, 3258, 538, 741, 570, 11171, 2560, 1358, 616, 519, 9030, 9093, 693, 519, 3138, 558, 538, 782, 519, 2197, 892, 630, 295, 4883, 20635, 267, 476, 1220, 271, 1040, 634, 2063, 2951, 518, 540, 519, 2540, 729, 12138, 16803, 630, 321, 269, 1354, 476, 12739, 279, 267, 546, 269, 538, 610, 1310, 476, 15876, 274, 1070, 945, 8452, 538, 5080, 520, 519, 1482, 1032, 607, 744, 1324, 2023, 543, 1031, 621, 607, 1010, 3490, 585, 4123, 607, 513, 21471, 23071, 2394, 476, 15094, 276, 269, 3571, 2272, 540, 519, 23194, 602, 519, 29807, 529, 941, 7722, 538, 630, 338, 1222, 2679, 267, 22805, 267, 32334, 267, 989, 622, 267, 22277, 15670, 543, 14131, 344, 2504, 264, 568, 3226, 3730, 563, 13295, 267, 538, 5176, 513, 8536, 1296, 519, 29807, 529, 7930, 28953, 1472, 30899, 520, 267, 609, 741, 1292, 7740, 538, 5842, 329, 31488, 267, 7935, 778, 267, 18937, 338, 926, 267, 543, 5080, 520, 269, 21771, 4122, 7074, 676, 17631, 941, 519, 29807, 529, 685, 3982, 4369, 1851, 3127, 779, 14797, 267, 741, 11696, 28917, 547, 3043, 17417, 543, 7642, 267, 741, 24133, 543, 1821, 10899, 2853, 2404, 609, 519, 3595, 267, 741, 26988, 2470, 267, 543, 741, 9525, 538, 19135, 2504, 269, 0, 289, 21488, 4252, 14208, 641, 27551, 585, 476, 275, 267, 476, 276, 267, 476, 277, 267, 543, 476, 278, 4458, 6040, 8866, 269, 1977, 22505, 4065, 5358, 630, 3008, 7968, 264, 13166, 15565, 602, 596, 1376, 609, 513, 476, 277, 547, 476, 278, 3952, 7381, 14912, 11876, 641, 269, 3776, 19583, 1131, 581, 547, 6529, 609, 476, 277, 3952, 269, 1879, 789, 616, 713, 1762, 267, 519, 26079, 4463, 2115, 547, 1450, 873, 547, 2744, 1852, 936, 519, 14912, 543, 2933, 563, 763, 4463, 540, 513, 14912, 11876, 641, 666, 4268, 4470, 593, 1018, 1377, 596, 616, 4730, 693, 269, 589, 7939, 715, 10621, 11876, 641, 6763, 476, 1015, 3952, 267, 476, 277, 6279, 1164, 269, 2755, 606, 715, 7563, 288, 2852, 11876, 3591, 1796, 476, 280, 3952, 267, 476, 274, 6279, 1164, 267, 585, 1453, 4730, 538, 10026, 1153, 267, 519, 3328, 4463, 585, 741, 11876, 3591, 568, 476, 279, 3952, 563, 5415, 4132, 31336, 4252, 14208, 641, 27551, 2592, 454, 289, 21488, 4252, 14208, 641, 27551, 676, 6520, 269, 8866, 1058, 23679, 9496, 11876, 3591, 693, 513, 4463, 540, 476, 278, 1111, 4463, 610, 2539, 547, 1118, 519, 3014, 2653, 543, 11791, 269, 1717, 267, 713, 4463, 4679, 607, 519, 2085, 979, 909, 269, 634, 4463, 585, 14038, 1058, 581, 476, 279, 1111, 610, 476, 280, 1111, 267, 4470, 2390, 741, 4222, 543, 4463, 269, 634, 14912, 11876, 641, 4463, 676, 2085, 568, 607, 5205, 3248, 21848, 476, 276, 1677, 476, 278, 630, 30747, 7124, 1677, 476, 273, 526, 6103, 2567, 476, 277, 1107, 476, 278, 32243, 269, 1280, 1453, 538, 713, 2085, 1895, 267, 946, 519, 9803, 4259, 2139, 593, 519, 14912, 11876, 641, 799, 1058, 581, 1472, 476, 277, 1107, 476, 278, 3952, 269, 634, 1292, 3804, 568, 547, 1577, 519, 4819, 934, 2396, 547, 519, 7328, 865, 1100, 991, 547, 798, 4376, 1950, 2943, 269, 6520, 476, 279, 1677, 476, 280, 630, 274, 6113, 6103, 1677, 476, 275, 628, 6103, 2567, 476, 279, 32243, 563, 289, 21488, 4252, 14208, 641, 27551, 1280, 5272, 6520, 269, 7305, 540, 12937, 269, 5753, 3414, 476, 273, 526, 6103, 281, 476, 277, 268, 278, 32243, 269, 5753, 3414, 476, 275, 628, 6103, 281, 476, 279, 32243, 269, 5753, 3414, 476, 276, 628, 6103, 281, 476, 280, 32243, 269, 5753, 3414, 476, 277, 628, 6103, 281, 476, 1015, 32243, 269, 17421, 15894, 281, 8940, 269, 764, 1446, 6558, 3820, 269, 4495, 596, 723, 12349, 513, 14912, 11876, 641, 585, 707, 1753, 621, 568, 942, 547, 2322, 621, 547, 1434, 946, 563, 8450, 811, 7044, 585, 4132, 31336, 4252, 14208, 641, 27551, 454, 763, 986, 4979, 593, 713, 3950, 729, 4010, 476, 1015, 3952, 1164, 543, 1141, 10878, 1143, 603, 15841, 890, 778, 30504, 1107, 799, 2663, 7960, 883, 14912, 11876, 3591, 1107, 593, 519, 3950, 986, 4979, 269, 1677, 713, 1554, 267, 14912, 11876, 3591, 616, 1869, 476, 1015, 3952, 1164, 269, 901, 568, 1851, 519, 9510, 24240, 3652, 538, 14912, 563, 9827, 267, 7487, 519, 3440, 979, 998, 519, 11876, 641, 267, 799, 568, 1454, 811, 2693, 547, 4755, 593, 513, 10156, 26079, 267, 8591, 6015, 543, 2306, 519, 3014, 811, 1187, 267, 1100, 2339, 707, 2085, 269, 634, 5227, 15627, 585, 14912, 3853, 616, 519, 1482, 585, 5256, 543, 4775, 269, 1280, 3318, 14912, 782, 519, 1259, 1524, 547, 476, 277, 628, 3446, 519, 3804, 568, 476, 1015, 1922, 324, 564, 563, 2690, 3214, 945, 616, 476, 1321, 1296, 2025, 610, 4587, 267, 513, 2834, 26079, 1522, 581, 1932, 1164, 547, 1404, 609, 269, 1809, 2094, 891, 3214, 616, 3395, 543, 7683, 5355, 741, 1983, 593, 519, 5480, 267, 519, 14912, 11876, 641, 2450, 585, 3214, 568, 476, 1015, 3952, 269, 0, 1692, 1677, 12433, 13379, 2986, 631, 843, 13082, 17934, 910, 700, 1299, 570, 3267, 15037, 476, 866, 267, 476, 1001, 278, 5788, 1924, 547, 5173, 519, 2597, 540, 519, 631, 843, 13082, 6676, 267, 3689, 267, 649, 991, 547, 5173, 519, 11730, 540, 519, 631, 843, 13082, 6676, 269, 634, 4320, 540, 17934, 815, 20099, 1535, 29968, 628, 1535, 774, 32169, 269, 815, 476, 272, 1535, 476, 272, 1535, 476, 271, 269, 4905, 815, 476, 271, 269, 4905, 544, 23326, 269, 1284, 917, 602, 267, 13379, 540, 631, 843, 13082, 815, 11730, 540, 631, 843, 13082, 1535, 25670, 540, 631, 843, 13082, 269, 13379, 540, 631, 843, 13082, 815, 476, 271, 269, 4905, 1535, 476, 4281, 276, 271, 815, 476, 4281, 269, 276, 918, 326, 563, 300, 841, 281, 1496, 16942, 6870, 2639, 22261, 476, 1839, 267, 476, 1001, 277, 5788, 1677, 946, 519, 1907, 269, 7994, 519, 5551, 7698, 269, 7490, 4283, 519, 3259, 267, 8700, 267, 1570, 11098, 543, 519, 1297, 540, 3688, 883, 519, 1357, 1106, 2630, 269, 8437, 593, 12433, 269, 13379, 18185, 910, 27550, 3205, 763, 9498, 666, 948, 596, 7447, 519, 2597, 540, 4496, 2694, 538, 1585, 9424, 269, 15439, 2824, 519, 1570, 267, 18585, 267, 543, 3337, 267, 543, 4283, 1297, 540, 4773, 535, 875, 547, 5173, 2597, 540, 7646, 5374, 6676, 26574, 18185, 910, 6406, 7177, 272, 264, 631, 6579, 291, 5254, 292, 5085, 630, 5960, 264, 590, 4047, 4953, 25723, 20846, 630, 298, 14899, 264, 815, 700, 2894, 294, 8025, 630, 12613, 264, 2473, 654, 2839, 8025, 630, 12613, 264, 2473, 476, 271, 269, 476, 1822, 23669, 5952, 2473, 8946, 27912, 26614, 1383, 634, 2597, 540, 9049, 16847, 540, 476, 272, 7825, 11098, 543, 2450, 476, 10219, 271, 27493, 2473, 476, 7742, 271, 27493, 4927, 581, 476, 7742, 271, 12613, 2473, 476, 10219, 271, 27493, 2473, 476, 271, 269, 1822, 23669, 5952, 2473, 476, 272, 815, 476, 2190, 269, 7871, 918, 14899, 270, 590, 4047, 4953, 269, 681, 5357, 29612, 5254, 292, 5085, 8863, 3198, 301, 30600, 269, 9049, 590, 12702, 22664, 25723, 20846, 630, 298, 14899, 3738, 815, 654, 2839, 8025, 2473, 654, 2839, 8025, 2473, 476, 271, 269, 1822, 23669, 5952, 2473, 700, 2894, 294, 8025, 563, 13971, 476, 5881, 267, 476, 1001, 280, 5788, 5384, 585, 519, 1101, 1383, 267, 513, 2864, 1804, 5374, 6676, 269, 13379, 540, 513, 13082, 17934, 910, 4518, 539, 7151, 269, 13379, 540, 13082, 16588, 815, 25670, 1535, 11730, 1422, 284, 476, 4366, 276, 1535, 476, 1428, 1535, 476, 1911, 1535, 476, 1220, 1422, 284, 476, 13970, 267, 4335, 267, 1822, 7273, 269, 4518, 539, 7151, 910, 13379, 540, 13082, 28758, 269, 3767, 649, 786, 1413, 693, 519, 2597, 540, 513, 5374, 6241, 829, 1770, 3259, 267, 713, 942, 538, 11973, 7868, 648, 3749, 19045, 13379, 6726, 566, 16754, 630, 1789, 9537, 540, 875, 547, 5173, 2597, 540, 7646, 5374, 6676, 19878, 476, 1789, 267, 476, 1708, 271, 5788, 3245, 519, 1657, 1079, 9708, 267, 596, 786, 1265, 519, 5860, 540, 1585, 8407, 543, 23212, 269, 1717, 267, 3006, 596, 949, 1616, 547, 1451, 519, 2597, 9819, 4542, 543, 1832, 621, 538, 707, 2247, 267, 1934, 568, 621, 281, 13379, 630, 11899, 264, 815, 8791, 531, 9351, 630, 7825, 273, 264, 6398, 20099, 630, 332, 264, 6398, 25670, 630, 267, 575, 30763, 274, 264, 9943, 476, 272, 270, 1911, 271, 269, 769, 1931, 547, 948, 596, 3533, 1265, 519, 4496, 2597, 4542, 267, 594, 1500, 1102, 4919, 799, 568, 711, 1152, 4052, 855, 849, 4190, 2529, 974, 601, 13379, 18185, 763, 12035, 7229, 593, 713, 5374, 2597, 9498, 2985, 616, 585, 5583, 1152, 269, 1358, 616, 7229, 1210, 3328, 24186, 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 ]
[ 269, 595, 1421, 543, 595, 269, 681, 269, 667, 30253, 599, 630, 1001, 271, 1070, 634, 3210, 543, 1909, 540, 4672, 3382, 538, 10720, 12641, 1493, 4205, 267, 4273, 269, 4284, 269, 2983, 690, 337, 1421, 476, 4097, 263, 276, 1070, 476, 6858, 272, 1700, 3583, 275, 454, 8867, 18255, 615, 337, 267, 594, 1421, 8402, 267, 966, 269, 700, 269, 590, 1421, 2506, 1067, 2023, 267, 595, 269, 589, 1421, 31661, 518, 267, 808, 269, 667, 1421, 1299, 31489, 267, 808, 269, 700, 269, 630, 1001, 273, 1040, 631, 14007, 1067, 322, 1722, 20676, 532, 454, 514, 4400, 11848, 22911, 1633, 623, 4637, 281, 17796, 543, 590, 3855, 269, 7025, 7070, 543, 5303, 476, 5379, 267, 476, 10755, 1691, 6629, 10755, 2420, 563, 5415, 331, 267, 674, 269, 631, 269, 631, 1421, 26689, 788, 1408, 267, 589, 269, 631, 269, 700, 1421, 1299, 25138, 582, 267, 631, 269, 630, 1960, 279, 1040, 634, 3114, 4783, 543, 6915, 3147, 636, 1637, 540, 454, 1067, 322, 1722, 269, 16316, 5623, 540, 17905, 543, 3590, 18267, 267, 476, 3066, 267, 476, 276, 6246, 1700, 276, 5780, 563, 3528, 18281, 15917, 454, 2108, 313, 3266, 3653, 2713, 892, 4667, 899, 513, 12316, 1007, 3350, 267, 855, 693, 922, 4295, 621, 779, 2965, 513, 2241, 543, 6654, 2856, 269, 26805, 938, 17885, 607, 1454, 607, 2009, 267, 23679, 547, 4986, 267, 1131, 4688, 721, 2724, 543, 2569, 2604, 593, 519, 1604, 269, 3509, 824, 5322, 616, 5702, 1644, 281, 17319, 16134, 267, 10319, 4616, 630, 3333, 2130, 1070, 543, 519, 454, 296, 1185, 513, 11453, 609, 713, 3350, 950, 594, 4862, 827, 10089, 330, 4446, 333, 7598, 513, 1007, 1062, 269, 1411, 666, 1631, 3142, 707, 1378, 23431, 11149, 883, 519, 4558, 547, 6445, 609, 1426, 267, 2864, 982, 1210, 519, 2582, 14025, 5068, 11435, 543, 11149, 789, 1683, 269, 11109, 5063, 4862, 827, 519, 13357, 540, 5068, 538, 938, 12084, 267, 543, 2907, 26539, 1896, 8900, 11149, 7996, 547, 581, 1031, 267, 713, 729, 1250, 3501, 4316, 547, 1118, 513, 2318, 1689, 563, 296, 18233, 543, 10356, 909, 513, 3099, 540, 23431, 11149, 543, 2322, 873, 538, 513, 23431, 12308, 9126, 269, 2311, 519, 4558, 519, 6666, 1512, 3533, 1202, 4624, 543, 26693, 1142, 8708, 267, 7311, 547, 1142, 835, 513, 6263, 6529, 518, 609, 519, 2597, 2854, 593, 621, 269, 1323, 11361, 4807, 4280, 1018, 729, 2469, 593, 267, 865, 594, 6045, 519, 1007, 1982, 547, 1200, 269, 2701, 8604, 27278, 1107, 6148, 2899, 811, 1004, 1294, 621, 8345, 267, 621, 786, 6952, 593, 256, 594, 4682, 547, 519, 13557, 25510, 543, 4904, 1142, 8708, 609, 1018, 594, 1185, 9709, 269, 2311, 519, 2638, 719, 519, 6666, 1512, 10208, 539, 519, 12035, 540, 519, 11149, 689, 519, 2698, 950, 30366, 621, 909, 269, 898, 729, 782, 19599, 3432, 344, 543, 2653, 2336, 6524, 596, 979, 267, 9090, 2638, 856, 10089, 330, 4446, 333, 779, 3609, 543, 8708, 4441, 593, 741, 3896, 269, 594, 3580, 5031, 513, 1906, 1919, 269, 2659, 11149, 991, 547, 581, 11207, 5544, 1652, 630, 32173, 958, 267, 1100, 1216, 9634, 14386, 543, 544, 1783, 30660, 609, 15309, 344, 4496, 561, 1749, 949, 711, 581, 7608, 269, 5269, 2386, 596, 5402, 11547, 543, 3819, 707, 11149, 267, 543, 8524, 873, 1310, 547, 1118, 2386, 972, 779, 1100, 21225, 12758, 538, 513, 7944, 269, 1879, 11423, 707, 8708, 267, 1810, 1406, 13248, 1394, 543, 1118, 2386, 519, 1085, 17274, 1281, 711, 5905, 519, 5011, 630, 335, 712, 936, 519, 1283, 1040, 1403, 596, 1616, 547, 1205, 4376, 5277, 630, 324, 3052, 269, 24113, 7423, 1070, 594, 4363, 7446, 513, 8708, 609, 607, 2647, 606, 6679, 607, 2009, 269, 19227, 621, 786, 581, 2182, 547, 6445, 1510, 1818, 513, 3190, 630, 1492, 1085, 334, 3591, 616, 3833, 1804, 1040, 6969, 707, 1985, 3643, 267, 11547, 707, 11149, 1586, 543, 4894, 519, 2025, 6529, 518, 269, 1879, 519, 6666, 1512, 8524, 338, 707, 11149, 1354, 20604, 789, 949, 7947, 1022, 540, 707, 11149, 585, 1022, 2601, 267, 538, 799, 2013, 1810, 1406, 2566, 1210, 9126, 4433, 264, 543, 596, 3580, 917, 585, 1985, 942, 269, 2913, 779, 1118, 1272, 2653, 585, 519, 6666, 4536, 865, 519, 1007, 1982, 568, 1134, 4607, 2336, 12024, 1034, 2825, 5322, 267, 1210, 556, 639, 1963, 693, 10089, 330, 4446, 333, 666, 3100, 899, 1932, 1507, 606, 2962, 547, 1118, 513, 3017, 269, 594, 10710, 513, 1906, 1769, 2370, 11435, 689, 2469, 883, 519, 20203, 1107, 2462, 4308, 267, 865, 1018, 286, 1809, 513, 2603, 540, 1507, 267, 11931, 1216, 12772, 538, 513, 19943, 543, 1354, 596, 917, 621, 267, 519, 19943, 568, 24492, 532, 269, 1548, 952, 649, 4769, 1406, 991, 547, 1832, 1201, 3739, 10089, 330, 4446, 333, 779, 7372, 20061, 540, 5068, 11435, 286, 1656, 2015, 602, 596, 616, 1631, 711, 9140, 519, 1587, 689, 513, 2834, 17365, 4558, 538, 513, 8708, 602, 1131, 581, 1256, 811, 3653, 995, 269, 1879, 594, 729, 513, 4819, 267, 1250, 1920, 543, 1034, 1004, 594, 6785, 4769, 1406, 22120, 693, 1753, 610, 946, 23431, 12308, 11435, 585, 14770, 625, 269, 1306, 1296, 4682, 593, 630, 663, 609, 513, 2370, 2604, 264, 891, 2238, 2968, 4625, 28125, 543, 2067, 269, 2334, 779, 513, 2462, 3017, 256, 594, 4126, 10918, 609, 23431, 11149, 666, 10929, 519, 1482, 1184, 267, 3001, 689, 13395, 547, 519, 1007, 3339, 269, 1280, 803, 267, 693, 2547, 267, 594, 4076, 2907, 1336, 713, 547, 581, 513, 2241, 6467, 267, 543, 594, 1745, 23518, 543, 4712, 547, 1847, 5196, 519, 1985, 2318, 6197, 1689, 563, 24916, 4227, 3653, 267, 972, 568, 513, 8273, 3992, 1934, 269, 1215, 543, 1946, 1705, 10089, 330, 4446, 333, 1689, 741, 3609, 543, 9784, 713, 1007, 2856, 286, 634, 1650, 4422, 602, 972, 729, 2141, 513, 2146, 1603, 538, 267, 8165, 585, 519, 10685, 518, 547, 1450, 1201, 650, 762, 11149, 267, 855, 621, 7012, 1406, 2394, 835, 14799, 4682, 6619, 543, 13264, 4558, 3609, 630, 6748, 1200, 1378, 11149, 267, 693, 519, 1981, 540, 1065, 3234, 663, 689, 519, 4558, 264, 602, 3609, 1689, 3576, 1747, 269, 898, 4667, 602, 585, 2242, 899, 713, 547, 4755, 621, 3217, 4466, 513, 1434, 2856, 267, 1082, 1004, 2921, 2962, 267, 543, 513, 2370, 22838, 2059, 519, 1259, 269, 2913, 779, 581, 513, 851, 540, 891, 2242, 267, 513, 851, 540, 1818, 519, 1158, 513, 1732, 1747, 630, 821, 1447, 9126, 693, 513, 942, 264, 2336, 3528, 20574, 7085, 1189, 454, 15919, 594, 6999, 602, 3425, 941, 30890, 689, 2470, 269, 594, 4952, 713, 4898, 1633, 1141, 938, 2518, 2551, 814, 1100, 1198, 593, 519, 2067, 1158, 269, 15526, 1175, 4422, 827, 741, 1554, 607, 3339, 267, 1510, 1022, 29298, 269, 3973, 4641, 5036, 538, 543, 594, 723, 547, 3068, 519, 5013, 602, 938, 3527, 798, 723, 606, 1764, 593, 519, 1158, 1472, 721, 267, 543, 594, 1611, 1169, 2962, 256, 1325, 2819, 607, 594, 1694, 1934, 593, 1250, 15291, 630, 26104, 640, 4616, 1070, 6704, 1250, 3039, 7401, 630, 698, 3472, 675, 543, 6283, 1070, 543, 9849, 1250, 533, 1690, 24252, 630, 4248, 14107, 543, 3653, 264, 594, 723, 4440, 2582, 26370, 569, 530, 21317, 856, 513, 2249, 540, 2890, 2041, 2336, 2005, 4667, 3592, 7543, 547, 1589, 540, 606, 2534, 649, 798, 602, 3085, 1406, 28855, 1125, 519, 9265, 593, 3047, 267, 1519, 938, 1378, 2249, 6668, 269, 2334, 779, 519, 554, 559, 13895, 851, 827, 25137, 9265, 1107, 621, 779, 711, 827, 519, 6634, 540, 2249, 540, 2371, 543, 2831, 267, 855, 827, 721, 269, 3776, 1360, 6228, 568, 8200, 593, 519, 2533, 602, 2371, 543, 2831, 1683, 585, 721, 1934, 593, 3047, 269, 1703, 779, 25199, 602, 1832, 938, 7031, 2635, 267, 16392, 2371, 602, 12115, 721, 267, 543, 2371, 543, 2831, 602, 16138, 880, 721, 269, 1703, 616, 1256, 18784, 7068, 602, 31693, 938, 3653, 267, 543, 20239, 25762, 602, 1711, 5135, 602, 649, 13236, 2336, 5978, 16126, 593, 519, 2249, 609, 799, 649, 2671, 713, 4541, 568, 31417, 269, 8616, 649, 3136, 547, 723, 513, 1642, 4288, 540, 27166, 2509, 782, 824, 1272, 3029, 269, 1717, 267, 649, 616, 2484, 689, 19870, 269, 1280, 3236, 267, 519, 1871, 540, 26853, 676, 10987, 568, 6059, 1472, 476, 1626, 5479, 9489, 538, 519, 2475, 4805, 256, 9453, 602, 2702, 547, 3927, 3542, 3729, 267, 799, 814, 3144, 6634, 540, 1296, 547, 11457, 267, 649, 1131, 711, 581, 2111, 547, 2972, 1082, 540, 519, 5613, 543, 5388, 649, 8532, 563, 2467, 616, 9118, 1806, 540, 875, 8200, 649, 616, 593, 519, 2067, 1158, 1472, 721, 269, 1306, 1454, 607, 649, 2119, 547, 2736, 2476, 689, 519, 4031, 540, 2470, 267, 649, 7683, 616, 18056, 540, 938, 1747, 538, 519, 1158, 269, 634, 2487, 7771, 538, 13520, 5095, 568, 835, 540, 519, 678, 8775, 32570, 902, 649, 723, 1185, 547, 3068, 269, 1306, 649, 21279, 811, 543, 811, 2249, 267, 621, 568, 2352, 547, 917, 1175, 875, 2182, 938, 11615, 543, 7239, 786, 581, 5734, 563, 2691, 12832, 7637, 639, 10515, 1716, 16307, 4362, 602, 519, 3047, 2847, 9407, 1472, 519, 6129, 267, 621, 7142, 3425, 547, 3398, 602, 649, 616, 711, 519, 4099, 540, 519, 17807, 269, 4270, 594, 6557, 1934, 547, 16802, 938, 19389, 1586, 267, 1317, 649, 2461, 849, 711, 519, 4099, 540, 938, 1378, 4541, 269, 3776, 2067, 1158, 5161, 540, 9118, 4296, 1063, 7103, 602, 2170, 543, 1860, 835, 1776, 269, 1403, 649, 2461, 2469, 547, 21707, 538, 713, 1158, 649, 786, 723, 547, 4283, 883, 513, 1007, 5736, 540, 25796, 1145, 563, 288, 1007, 25796, 1145, 1141, 649, 8190, 543, 2149, 824, 2249, 1317, 1510, 873, 267, 938, 6228, 568, 19847, 269, 2755, 621, 779, 11207, 15502, 585, 721, 547, 1416, 827, 6000, 267, 649, 723, 547, 1174, 602, 519, 1134, 5630, 540, 824, 2249, 2047, 5540, 721, 538, 1169, 1259, 563, 1432, 779, 538, 621, 585, 596, 286, 18421, 563, 1607, 5816, 568, 849, 11540, 593, 3047, 1133, 325, 2830, 1229, 563, 7922, 9233, 616, 2854, 676, 20700, 289, 2818, 945, 1616, 547, 2671, 741, 2984, 827, 14411, 781, 9265, 269, 0, 30747, 338, 1299, 12580, 2986, 11270, 2632, 4345, 4112, 7134, 454, 20540, 7267, 3676, 616, 1317, 540, 519, 2962, 540, 17900, 3361, 676, 15799, 533, 4979, 909, 538, 519, 14779, 269, 2368, 2097, 538, 7646, 518, 3029, 543, 849, 19040, 607, 31470, 26628, 267, 1247, 519, 811, 4049, 5686, 616, 1634, 607, 1974, 2632, 4345, 269, 5637, 2175, 2014, 519, 14779, 547, 18053, 267, 607, 1134, 607, 519, 4191, 540, 1522, 2874, 540, 10733, 5160, 24074, 267, 5023, 21399, 267, 543, 849, 11877, 13283, 538, 519, 5023, 269, 1403, 1974, 2632, 4345, 568, 2451, 15860, 267, 621, 1223, 2014, 2530, 540, 4522, 563, 2467, 616, 1455, 2010, 540, 3665, 10733, 5160, 2783, 543, 5312, 1974, 2632, 4345, 25568, 873, 269, 898, 568, 3989, 609, 2348, 513, 17927, 1646, 543, 5924, 12900, 540, 519, 14779, 267, 799, 5012, 547, 11926, 540, 519, 4522, 2281, 607, 1134, 607, 5642, 2530, 269, 2201, 519, 1585, 824, 1688, 267, 972, 779, 20935, 1974, 2632, 4345, 799, 616, 2901, 519, 22297, 1826, 610, 519, 2489, 2213, 2186, 269, 21118, 850, 1974, 2632, 4345, 5012, 547, 10733, 5957, 543, 15237, 543, 849, 9552, 540, 519, 10265, 14752, 269, 634, 3791, 2186, 568, 27394, 8527, 1944, 27731, 2783, 799, 4523, 5631, 547, 2043, 4299, 609, 7486, 269, 8409, 945, 616, 3411, 699, 532, 689, 3668, 540, 6484, 543, 4049, 5563, 616, 2693, 547, 1995, 713, 2186, 540, 2101, 27731, 2068, 1932, 269, 898, 568, 7150, 602, 27394, 8527, 1944, 10733, 2068, 2164, 538, 519, 3665, 14796, 540, 5642, 267, 8031, 540, 519, 10733, 543, 5363, 28587, 269, 4340, 547, 5959, 12665, 267, 519, 2063, 2186, 540, 1974, 2632, 4345, 568, 5631, 17640, 547, 1585, 824, 1072, 2175, 971, 607, 15847, 2152, 267, 2295, 3676, 267, 543, 849, 7929, 1062, 4576, 563, 4407, 621, 568, 2141, 1134, 547, 2061, 519, 4098, 540, 519, 2783, 267, 972, 616, 1869, 1004, 609, 32055, 5959, 1072, 602, 4308, 609, 621, 607, 513, 1267, 540, 3105, 4791, 2783, 269, 901, 4990, 540, 1974, 2632, 4345, 568, 7363, 24395, 730, 676, 741, 17966, 618, 543, 12212, 267, 741, 11955, 723, 513, 1688, 693, 3478, 8338, 519, 1966, 538, 741, 10733, 8031, 1932, 269, 1280, 930, 267, 10010, 609, 606, 17966, 618, 2356, 3762, 873, 561, 1314, 609, 741, 8912, 5959, 1416, 1036 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5228, 1547, 338, 869, 9795, 1104, 20405, 30467, 692, 5814, 2979, 692, 5035, 16258, 30467, 22829, 869, 30467, 2187, 825, 8173, 825, 4223, 27996, 1990, 544, 7224, 385, 378, 523, 329, 655, 521, 5899, 817, 523, 990, 574, 3473, 528, 527, 332, 558, 563, 825, 8173, 825, 1219, 9062, 4311, 267, 2451, 267, 1318, 2187, 1038, 8173, 1038, 966, 512, 1066, 583, 7224, 1319, 686, 14150, 1990, 777, 328, 20795, 324, 1050, 19241, 10540, 8643, 327, 1319, 20891, 780, 1038, 631, 7224, 385, 378, 523, 16660, 476, 714, 1386, 324, 521, 5899, 817, 523, 990, 574, 3473, 528, 527, 332, 558, 563, 1038, 8173, 1038, 7682, 2451, 8542, 3712, 3890, 2652, 1318, 8542, 992, 19572, 26444, 25639, 834, 291, 11948, 345, 6359, 324, 1319, 20891, 683, 17585, 340, 20795, 25155, 26953, 544, 7224, 385, 378, 523, 10937, 30882, 1038, 7682, 1582, 8542, 992, 3890, 2652, 2451, 8542, 992, 3890, 543, 1318, 8542, 3712, 3890, 2652, 1582, 8542, 3712, 19572, 26444, 25639, 834, 291, 11948, 345, 6359, 324, 524, 559, 329, 928, 1319, 686, 651, 683, 579, 560, 30959, 26953, 3897, 20044, 6359, 600, 1050, 330, 3279, 15323, 1038, 1582, 314, 271, 281, 3847, 8542, 992, 19572, 271, 281, 2431, 8542, 3712, 3890, 316, 815, 1193, 817, 523, 263, 3847, 267, 2431, 264, 1948, 30959, 738, 520, 1093, 529, 576, 15879, 521, 1193, 817, 523, 990, 574, 3473, 528, 527, 332, 558, 7531, 3698, 1990, 332, 7224, 17844, 263, 3847, 267, 2431, 2187, 825, 5727, 3534, 643, 7224, 1990, 332, 7224, 17844, 546, 557, 1319, 686, 7288, 12163, 825, 960, 815, 16258, 30467, 263, 14085, 267, 3847, 8542, 992, 19572, 2431, 8542, 3712, 28829, 1948, 755, 19702, 23313, 1642, 990, 7224, 1319, 686, 14150, 267, 737, 329, 518, 23313, 695, 3757, 9857, 16660, 556, 345, 738, 622, 454, 825, 1775, 815, 476, 271, 454, 825, 1247, 630, 328, 2999, 2451, 8542, 992, 3890, 2187, 1038, 795, 815, 476, 271, 454, 1038, 1247, 630, 329, 2999, 1318, 8542, 3712, 3890, 2187, 2018, 642, 815, 476, 271, 454, 2018, 1247, 630, 341, 2999, 1318, 8542, 992, 3890, 2567, 1948, 324, 2211, 340, 1642, 822, 928, 1319, 686, 651, 929, 626, 21416, 1494, 516, 321, 928, 1990, 332, 7224, 345, 651, 3693, 990, 682, 557, 538, 964, 928, 1319, 686, 651, 454, 14030, 8587, 1948, 339, 752, 334, 13005, 562, 770, 2033, 1236, 531, 7568, 328, 1050, 19241, 454, 3546, 960, 5157, 267, 795, 316, 815, 960, 5157, 267, 795, 316, 1341, 2451, 5157, 267, 642, 316, 2608, 1318, 314, 341, 267, 795, 2639, 3546, 642, 815, 642, 1341, 476, 272, 454, 2018, 795, 815, 795, 1341, 476, 272, 454, 1038, 1775, 815, 1775, 1341, 476, 272, 454, 825, 2132, 960, 7531, 3698, 1193, 817, 523, 263, 3847, 267, 2431, 2187, 825, 561, 341, 815, 2451, 8542, 992, 3890, 1948, 4614, 341, 559, 334, 642, 337, 10973, 682, 557, 1319, 686, 651, 454, 825, 561, 338, 815, 2451, 8542, 3712, 3890, 1948, 4614, 341, 559, 334, 588, 565, 335, 576, 341, 682, 557, 1319, 686, 651, 815, 2848, 341, 559, 334, 642, 337, 10973, 964, 928, 1319, 686, 651, 454, 825, 546, 338, 815, 1318, 8542, 3712, 3890, 1948, 4614, 341, 559, 334, 588, 565, 335, 576, 341, 964, 928, 1319, 686, 651, 454, 825, 960, 815, 16258, 30467, 263, 14085, 267, 561, 341, 267, 546, 338, 264, 1948, 755, 19702, 23313, 1642, 990, 7224, 1319, 686, 14150, 454, 825, 952, 630, 1415, 8443, 331, 341, 2652, 476, 272, 267, 561, 338, 2652, 476, 272, 267, 546, 338, 2652, 476, 272, 8079, 2567, 1948, 576, 14247, 737, 831, 320, 5212, 1193, 23307, 1319, 20891, 679, 10440, 476, 272, 267, 476, 714, 1386, 324, 14255, 643, 7224, 544, 7224, 7999, 16660, 563, 1038, 2132, 1990, 332, 7224, 17844, 263, 3847, 267, 1318, 2020, 825, 8640, 630, 331, 341, 4939, 476, 273, 2652, 476, 271, 543, 561, 338, 4939, 476, 273, 2652, 476, 271, 543, 546, 338, 4939, 476, 273, 2652, 476, 271, 2567, 258, 576, 865, 642, 572, 1193, 534, 823, 1319, 20891, 1642, 329, 633, 1990, 476, 273, 562, 1563, 24982, 912, 1038, 1948, 3901, 686, 7288, 2451, 538, 1318, 986, 345, 23437, 24982, 14255, 476, 275, 18111, 454, 1038, 589, 1556, 815, 2451, 314, 271, 281, 263, 331, 341, 1315, 476, 273, 1070, 476, 271, 281, 263, 3149, 1315, 476, 273, 22708, 1038, 589, 1321, 815, 2451, 314, 271, 281, 263, 331, 341, 1315, 476, 273, 1070, 630, 3149, 1315, 476, 273, 2567, 3149, 2639, 1038, 589, 2641, 815, 2451, 27007, 331, 341, 1315, 476, 273, 2567, 331, 341, 267, 476, 271, 281, 263, 3149, 1315, 476, 273, 22708, 1038, 589, 2420, 815, 2451, 27007, 331, 341, 1315, 476, 273, 2567, 331, 341, 267, 630, 3149, 1315, 476, 273, 2567, 3149, 6540, 1038, 645, 1556, 815, 1318, 314, 271, 281, 263, 3149, 1315, 476, 273, 1070, 476, 271, 281, 263, 1091, 1315, 476, 273, 22708, 1038, 645, 1321, 815, 1318, 314, 271, 281, 263, 3149, 1315, 476, 273, 1070, 630, 1091, 1315, 476, 273, 2567, 1091, 2639, 1038, 645, 2641, 815, 1318, 27007, 3149, 1315, 476, 273, 2567, 3149, 267, 476, 271, 281, 263, 1091, 1315, 476, 273, 22708, 1038, 645, 2420, 815, 1318, 27007, 3149, 1315, 476, 273, 2567, 3149, 267, 630, 1091, 1315, 476, 273, 2567, 1091, 6540, 1038, 1948, 714, 2350, 684, 30790, 476, 278, 544, 7224, 7999, 329, 1319, 20891, 454, 1038, 631, 272, 815, 630, 288, 1556, 1341, 589, 2420, 264, 2608, 630, 289, 1556, 1341, 645, 2420, 994, 1038, 631, 273, 815, 630, 288, 2641, 1341, 589, 2420, 264, 2608, 630, 289, 1556, 994, 1038, 631, 274, 815, 630, 288, 1556, 264, 2608, 630, 289, 1321, 910, 645, 2420, 994, 1038, 631, 275, 815, 630, 288, 2420, 264, 2608, 630, 289, 2641, 910, 645, 1556, 994, 1038, 631, 276, 815, 630, 288, 1556, 1341, 589, 1321, 12684, 630, 289, 2420, 994, 1038, 631, 277, 815, 630, 288, 2641, 910, 589, 1556, 264, 2608, 630, 289, 1556, 1341, 645, 1321, 994, 1038, 631, 278, 815, 630, 288, 1321, 910, 589, 2420, 264, 2608, 630, 289, 2641, 1341, 645, 2420, 2020, 1038, 1948, 23437, 990, 7224, 1319, 686, 14150, 562, 770, 822, 24982, 14255, 579, 560, 30959, 928, 642, 1042, 333, 739, 328, 454, 1038, 960, 314, 271, 281, 263, 331, 341, 1315, 476, 273, 1070, 476, 271, 281, 263, 1091, 1315, 476, 273, 13580, 815, 631, 272, 1341, 631, 275, 910, 631, 276, 1341, 631, 278, 454, 1038, 960, 314, 271, 281, 263, 331, 341, 1315, 476, 273, 1070, 630, 1091, 1315, 476, 273, 2567, 1091, 316, 815, 631, 274, 1341, 631, 276, 454, 1038, 960, 27007, 331, 341, 1315, 476, 273, 2567, 331, 341, 267, 476, 271, 281, 263, 1091, 1315, 476, 273, 13580, 815, 631, 273, 1341, 631, 275, 454, 1038, 960, 27007, 331, 341, 1315, 476, 273, 2567, 331, 341, 267, 630, 1091, 1315, 476, 273, 2567, 1091, 316, 815, 631, 272, 910, 631, 273, 1341, 631, 274, 1341, 631, 277, 454, 825, 8640, 630, 331, 341, 4939, 476, 273, 2652, 476, 272, 2567, 258, 576, 2848, 341, 559, 334, 642, 337, 10973, 682, 557, 1319, 686, 651, 562, 328, 1642, 329, 16343, 1990, 476, 273, 562, 1563, 24982, 912, 1038, 1948, 1319, 686, 14150, 2451, 986, 345, 23437, 24982, 14255, 567, 1496, 288, 1556, 2639, 1038, 1948, 4449, 17264, 1496, 288, 2641, 2639, 1038, 1948, 330, 329, 518, 14247, 589, 2641, 679, 990, 337, 10973, 3534, 1319, 27996, 454, 1038, 589, 272, 815, 2451, 314, 271, 281, 263, 331, 341, 910, 476, 272, 1070, 476, 271, 281, 3149, 2639, 1038, 589, 273, 815, 2451, 27007, 331, 341, 910, 476, 272, 2567, 331, 341, 267, 476, 271, 281, 3149, 2639, 1038, 1948, 345, 332, 7224, 345, 24982, 589, 272, 538, 1318, 1768, 589, 273, 538, 1318, 454, 1038, 589, 272, 289, 815, 589, 272, 2608, 1318, 454, 1038, 589, 273, 289, 815, 589, 273, 2608, 1318, 454, 1038, 1948, 333, 770, 822, 24982, 1990, 326, 1941, 10202, 1642, 1319, 686, 651, 960, 263, 23432, 23437, 329, 6511, 512, 752, 334, 737, 582, 2451, 264, 14255, 589, 272, 289, 267, 838, 617, 333, 10202, 17328, 14255, 589, 273, 289, 454, 1038, 960, 314, 271, 281, 263, 331, 341, 268, 272, 1070, 476, 271, 281, 1091, 316, 815, 589, 272, 289, 454, 1038, 960, 27007, 331, 341, 268, 272, 2567, 331, 341, 267, 476, 271, 281, 1091, 316, 815, 589, 273, 289, 692, 825, 8640, 630, 3149, 4939, 476, 273, 2652, 476, 272, 2567, 258, 576, 2848, 341, 559, 334, 26550, 8811, 588, 565, 335, 576, 341, 562, 328, 1642, 329, 16343, 1990, 476, 273, 562, 1563, 24982, 912, 1038, 1948, 1319, 686, 14150, 1318, 986, 345, 23437, 24982, 14255, 567, 1496, 289, 272, 2639, 1038, 1948, 4449, 23526, 1496, 289, 273, 2639, 1038, 1948, 737, 329, 518, 14247, 645, 2641, 679, 990, 337, 10973, 3534, 1319, 27996, 454, 1038, 1948, 1319, 686, 14150, 2451, 986, 345, 23437, 24982, 14255, 567, 20886, 288, 1556, 25662, 288, 2641, 27663, 1038, 1948, 737, 329, 518, 14247, 589, 2641, 679, 739, 565, 30679, 3534, 1319, 27996, 454, 1038, 589, 272, 815, 2451, 314, 271, 281, 331, 341, 267, 476, 271, 281, 263, 3149, 910, 476, 272, 22708, 1038, 589, 273, 815, 2451, 314, 271, 281, 331, 341, 267, 630, 3149, 910, 476, 272, 2567, 3149, 2639, 1038, 645, 272, 815, 1318, 314, 271, 281, 263, 3149, 910, 476, 272, 1070, 476, 271, 281, 1091, 2639, 1038, 645, 273, 815, 1318, 27007, 3149, 910, 476, 272, 2567, 3149, 267, 476, 271, 281, 1091, 2639, 1038, 1948, 333, 1563, 24982, 1990, 332, 7224, 345, 651, 589, 272, 265, 289, 272, 538, 589, 273, 265, 289, 273, 454, 1038, 589, 272, 289, 272, 815, 589, 272, 265, 289, 272, 454, 1038, 589, 273, 289, 273, 815, 589, 273, 265, 289, 273, 454, 1038, 1948, 23437, 990, 7224, 1319, 686, 14150, 960, 562, 770, 822, 24982, 14255, 521, 652, 324, 557, 330, 589, 272, 289, 272, 266, 288, 273, 289, 273, 454, 1038, 960, 314, 271, 281, 331, 341, 267, 476, 271, 281, 1091, 316, 815, 589, 272, 289, 272, 1341, 589, 273, 289, 273, 7531, 825, 8640, 630, 1091, 4939, 476, 273, 2652, 476, 272, 2567, 258, 576, 2848, 341, 559, 334, 964, 333, 8811, 588, 565, 335, 576, 341, 562, 328, 1642, 329, 16343, 1990, 476, 273, 562, 1563, 24982, 912, 1038, 1948, 1319, 686, 14150, 1318, 986, 345, 23437, 24982, 14255, 567, 1496, 289, 272, 2639, 1038, 1948, 4449, 23526, 1496, 289, 273, 2639, 1038, 645, 272, 815, 1318, 314, 271, 281, 3149, 267, 476, 271, 281, 263, 1091, 910, 476, 272, 22708, 1038, 645, 273, 815, 1318, 314, 271, 281, 3149, 267, 630, 1091, 910, 476, 272, 2567, 1091, 2639, 1038, 1948, 714, 1386, 655, 334, 544, 7224, 7999, 16660, 2451, 265, 289, 272, 538, 2451, 265, 289, 273, 454, 1038, 9474, 272, 815, 1990, 332, 7224, 17844, 263, 3847, 32390, 272, 994, 1038, 9474, 273, 815, 1990, 332, 7224, 17844, 263, 3847, 32390, 273, 994, 1038, 1948, 345, 326, 1941, 10202, 1642, 1319, 686, 651, 960, 263, 23432, 23437, 329, 6511, 737, 582, 645, 264, 562, 770, 822, 24982, 14255, 9474, 272, 267, 838, 617, 333, 10202, 17328, 14255, 9474, 273, 454, 1038, 960, 314, 271, 281, 331, 341, 267, 476, 271, 281, 1091, 268, 272, 316, 815, 9474, 272, 454, 1038, 960, 314, 271, 281, 331, 341, 267, 263, 1091, 268, 272, 2567, 1091, 316, 815, 9474, 273, 454, 825, 2132, 960, 0, 258, 659, 576, 6853, 7003, 724, 339, 14720, 1348, 628, 267, 19417, 689, 519, 3593, 543, 1820, 922, 1858, 543, 4320, 23228, 331, 25507, 9272, 3488, 10938, 7003, 724, 339, 540, 513, 4216, 10807, 3418, 321, 25507, 9272, 3488, 10938, 4560, 540, 513, 4216, 10807, 3418, 327, 25507, 9272, 3488, 10938, 4560, 540, 513, 4216, 10807, 3418, 19327, 284, 273, 265, 331, 265, 321, 266, 273, 265, 321, 265, 327, 266, 273, 265, 327, 265, 331, 1477, 14179, 2541, 284, 331, 265, 321, 265, 327, 1477, 2745, 3488, 19327, 540, 519, 4216, 568, 3299, 19327, 3418, 2745, 3488, 14179, 2541, 540, 519, 4216, 568, 3299, 14179, 2541, 3418, 0, 258, 720, 1477, 3698, 5192, 21848, 28399, 825, 2119, 6769, 1038, 2085, 25507, 9272, 2891, 10938, 519, 2085, 540, 519, 3593, 281, 8442, 3418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2171, 1500, 713, 3113, 676, 10203, 519, 1297, 540, 16313, 338, 602, 941, 454, 516, 19959, 547, 17714, 3345, 1142, 3018, 269, 1284, 3323, 950, 519, 9194, 454, 321, 1122, 534, 538, 4728, 543, 18886, 8289, 902, 1169, 3018, 2394, 4873, 476, 277, 628, 563, 763, 7389, 593, 938, 9194, 454, 14090, 5330, 609, 519, 7389, 593, 713, 3113, 269, 6733, 693, 519, 9194, 454, 14090, 543, 713, 3113, 1927, 543, 596, 666, 1294, 1141, 519, 16313, 338, 454, 26200, 8289, 539, 1142, 3018, 269, 0, 275, 9708, 3040, 8525, 476, 272, 540, 476, 272, 454, 4692, 2576, 2491, 519, 533, 4954, 328, 17181, 6240, 286, 769, 1250, 4967, 689, 11000, 594, 723, 267, 834, 7224, 811, 982, 476, 273, 9211, 829, 20771, 1533, 267, 952, 9211, 616, 538, 519, 1482, 20771, 1287, 8095, 19610, 1701, 594, 993, 711, 4010, 2386, 1018, 713, 1797, 267, 594, 1174, 8095, 2829, 855, 519, 851, 609, 519, 2179, 540, 9211, 606, 20771, 666, 723, 1476, 4926, 803, 563, 763, 30809, 540, 1079, 9211, 616, 1767, 547, 581, 19610, 952, 835, 568, 20875, 543, 519, 824, 7602, 497, 269, 623, 8529, 30809, 616, 20922, 20875, 16378, 497, 267, 543, 9211, 609, 19610, 30809, 723, 8095, 6419, 7061, 2338, 540, 6587, 4191, 269, 3143, 1079, 9211, 538, 606, 11046, 666, 723, 519, 1482, 1305, 540, 2185, 7061, 2338, 563, 763, 521, 1016, 24038, 814, 476, 272, 20771, 267, 865, 621, 666, 723, 513, 3193, 540, 476, 273, 552, 268, 269, 634, 533, 1016, 24038, 814, 476, 274, 10739, 1023, 267, 865, 621, 666, 723, 513, 3193, 540, 476, 277, 552, 268, 269, 634, 546, 1016, 24038, 814, 476, 276, 10739, 1023, 267, 865, 621, 666, 723, 513, 3193, 540, 476, 1015, 552, 268, 269, 634, 535, 1016, 24038, 814, 476, 278, 10739, 1023, 267, 865, 621, 666, 723, 513, 3193, 540, 476, 1691, 552, 268, 563, 8005, 568, 2228, 454, 5825, 619, 19855, 713, 8468, 281, 3143, 10805, 3755, 543, 476, 273, 14538, 0, 10870, 531, 267, 29673, 543, 590, 4721, 281, 7177, 267, 27617, 543, 7276, 593, 519, 715, 12078, 31588, 1722, 1530, 553, 676, 595, 4592, 29560, 8055, 454, 3528, 595, 4592, 29560, 8055, 269, 11062, 267, 5177, 281, 11062, 2160, 4964, 267, 476, 1001, 279, 269, 623, 335, 269, 476, 5379, 279, 269, 10434, 16225, 1269, 4375, 269, 4200, 563, 290, 4592, 29560, 8055, 781, 5767, 1433, 568, 519, 7583, 332, 1588, 540, 1010, 1279, 5721, 540, 960, 593, 519, 1641, 540, 1648, 538, 519, 3703, 2528, 269, 3245, 834, 13480, 543, 17904, 281, 11572, 19004, 543, 7849, 13898, 538, 715, 12078, 11416, 6628, 257, 630, 14532, 540, 3163, 267, 476, 2735, 280, 264, 547, 6052, 543, 7276, 281, 589, 4437, 7240, 5530, 540, 7083, 22398, 9109, 630, 23173, 8822, 2160, 4964, 267, 476, 2735, 280, 264, 547, 634, 3163, 540, 6052, 281, 589, 8836, 3778, 540, 6052, 8212, 538, 16972, 6628, 630, 288, 628, 331, 821, 543, 2160, 540, 9628, 4964, 267, 476, 1960, 279, 1070, 8055, 814, 3366, 938, 1620, 540, 875, 519, 1523, 540, 834, 24479, 257, 18534, 9464, 1312, 519, 3621, 543, 2686, 8916, 540, 4279, 6628, 563, 4407, 519, 3105, 1568, 941, 1419, 2244, 6674, 539, 267, 15021, 267, 29673, 543, 590, 4721, 568, 4481, 13883, 1141, 6628, 781, 7580, 5383, 538, 1648, 9443, 543, 4066, 941, 1034, 17028, 7458, 267, 593, 519, 1164, 15798, 538, 1489, 540, 922, 18246, 10504, 269, 898, 7640, 525, 1454, 547, 519, 5177, 781, 8551, 543, 28299, 3194, 7027, 9886, 1788, 834, 302, 4117, 6008, 4461, 1222, 281, 589, 8836, 3778, 540, 16972, 31845, 5295, 2437, 5059, 593, 519, 2686, 5121, 602, 17956, 3703, 5836, 9252, 12445, 267, 513, 1788, 602, 16668, 1927, 513, 1297, 540, 3173, 609, 7247, 8055, 814, 849, 1071, 22052, 23482, 4760, 4930, 543, 4081, 4574, 563, 29834, 17337, 1010, 1433, 883, 1614, 13664, 6810, 281, 834, 8512, 594, 281, 3345, 1496, 17484, 8525, 476, 8099, 276, 316, 9533, 29673, 2437, 834, 8512, 4083, 281, 4639, 1189, 585, 24861, 2437, 543, 834, 8512, 8633, 281, 5101, 1189, 585, 3127, 543, 3624, 2437, 609, 519, 2063, 3296, 267, 834, 8512, 10001, 281, 7177, 606, 7909, 19004, 2437, 9306, 513, 10991, 4605, 540, 519, 5755, 4346, 269, 11569, 267, 5755, 1765, 3467, 4481, 4398, 538, 5755, 946, 28934, 519, 1101, 540, 1079, 2101, 4798, 602, 15827, 2429, 713, 1433, 267, 543, 2429, 1082, 540, 595, 4592, 29560, 781, 824, 1568, 269, 634, 1292, 3197, 1765, 2254, 1175, 519, 1134, 8153, 1772, 3711, 731, 8003, 19839, 601, 543, 15656, 595, 684, 731, 267, 855, 849, 14758, 8153, 4853, 1235, 899, 6723, 31293, 543, 7338, 2667, 515, 2023, 8055, 1765, 26200, 4368, 730, 607, 1454, 593, 5755, 4616, 607, 789, 941, 593, 3106, 267, 1312, 540, 799, 1185, 513, 2178, 2804, 607, 1134, 607, 5837, 4493, 563, 8512, 594, 781, 5031, 568, 606, 538, 3829, 2079, 540, 519, 6735, 1063, 9947, 3780, 8055, 781, 11184, 3780, 543, 19839, 601, 781, 4279, 5375, 547, 581, 519, 1101, 547, 3444, 519, 3345, 9533, 896, 9252, 630, 4944, 334, 8814, 10332, 281, 11184, 3780, 3576, 519, 16101, 267, 4279, 5375, 3576, 519, 18710, 267, 543, 15656, 595, 684, 731, 3576, 519, 2344, 1070, 609, 513, 998, 771, 7611, 540, 519, 4583, 15539, 609, 519, 3621, 5856, 667, 542, 903, 3780, 700, 731, 1676, 267, 945, 10645, 519, 2856, 540, 15385, 519, 3345, 9533, 676, 9252, 729, 834, 577, 25534, 673, 1701, 3487, 4083, 12116, 519, 7965, 609, 3384, 2834, 3028, 547, 6239, 543, 3162, 3013, 269, 1452, 11507, 941, 1419, 6825, 676, 13357, 267, 1519, 519, 2530, 547, 27733, 540, 681, 5960, 303, 3752, 3118, 538, 476, 7277, 274, 543, 519, 2530, 547, 3595, 540, 681, 5960, 8835, 593, 922, 30823, 523, 22116, 538, 476, 6977, 272, 269, 3487, 8633, 6212, 593, 519, 6755, 1231, 983, 543, 31970, 29673, 32522, 7577, 267, 610, 623, 261, 302, 269, 634, 834, 303, 257, 729, 585, 519, 30345, 1014, 18686, 267, 607, 17577, 543, 8050, 941, 2101, 9467, 4891, 609, 6628, 267, 1498, 1454, 540, 519, 4123, 729, 13856, 676, 11488, 15915, 543, 18535, 3842, 5527, 1256, 1354, 519, 590, 22222, 22575, 8118, 269, 1452, 1279, 26591, 16831, 1137, 941, 3226, 29506, 1242, 585, 4398, 267, 585, 607, 8055, 4967, 267, 834, 10870, 531, 20039, 585, 3368, 519, 2698, 3790, 538, 519, 2013, 540, 18686, 3028, 267, 543, 3592, 1614, 6709, 11467, 538, 519, 2013, 540, 519, 28641, 9252, 619, 257, 630, 335, 269, 476, 7742, 1040, 3487, 10001, 12125, 519, 4473, 540, 519, 7623, 2599, 607, 519, 23674, 1035, 1889, 540, 3608, 9252, 27668, 563, 29834, 781, 2034, 2101, 6249, 538, 15021, 267, 29673, 543, 590, 4721, 267, 607, 1134, 607, 1010, 824, 1568, 267, 568, 1010, 5316, 1081, 540, 4702, 2418, 899, 3106, 543, 4346, 547, 519, 10952, 24598, 25751, 540, 519, 1585, 3703, 17557, 29559, 269, 2353, 998, 519, 3817, 540, 713, 543, 1010, 824, 2835, 267, 8055, 3217, 11999, 24074, 547, 10646, 1063, 543, 21138, 519, 1585, 519, 3098, 540, 5345, 13370, 1143, 267, 3465, 2421, 614, 1014, 1143, 267, 543, 29842, 1143, 547, 891, 4702, 3741, 269, 2986, 1576, 267, 3703, 14308, 1218, 941, 711, 519, 1152, 3283, 547, 8858, 891, 2418, 282, 538, 5333, 267, 519, 8030, 2605, 2946, 323, 2946, 878, 28397, 341, 720, 267, 4864, 514, 11870, 663, 267, 543, 19863, 324, 632, 808, 537, 742, 5797, 546, 262, 288, 6277, 753, 782, 5532, 741, 7826, 2538, 6685, 547, 519, 1646, 540, 3608, 17684, 4412, 25527, 630, 31466, 3559, 20698, 337, 19902, 267, 834, 9824, 580, 542, 543, 25895, 16743, 281, 634, 9252, 29539, 538, 476, 7277, 271, 338, 5333, 2437, 3778, 543, 5303, 476, 1321, 267, 1100, 269, 476, 275, 2433, 476, 27628, 1700, 6795, 1040, 7439, 941, 891, 16876, 547, 8567, 282, 519, 9484, 14551, 545, 6014, 7286, 8030, 9478, 543, 15243, 6341, 19085, 849, 4547, 741, 3909, 31710, 547, 2417, 532, 741, 960, 630, 10955, 1189, 808, 7056, 569, 267, 834, 15031, 6425, 267, 1849, 1801, 267, 5071, 619, 543, 3763, 619, 281, 519, 6014, 1496, 17484, 8525, 476, 8099, 277, 316, 2552, 9084, 547, 1530, 4788, 8490, 538, 4789, 2437, 6014, 8466, 5525, 476, 4343, 2433, 476, 4037, 1700, 9818, 267, 693, 533, 269, 476, 6434, 1916, 763, 4994, 568, 607, 22111, 607, 519, 1382, 282, 24239, 26690, 3817, 540, 3573, 3444, 18022, 17182, 2327, 602, 519, 5467, 786, 2760, 581, 4503, 563, 299, 541, 4471, 667, 269, 12113, 516, 10098, 568, 513, 17189, 4056, 267, 14787, 267, 543, 519, 476, 1001, 278, 17240, 12688, 3803, 626, 538, 1686, 585, 1010, 1433, 29564, 693, 1488, 916, 281, 1977, 14412, 543, 519, 9093, 540, 5333, 543, 8050, 5808, 590, 8491, 898, 269, 3571, 5767, 1433, 568, 20710, 3101, 519, 1530, 553, 281, 634, 22547, 540, 25220, 15339, 538, 519, 11633, 6520, 267, 476, 5197, 271, 268, 1220, 271, 630, 300, 3951, 4964, 267, 476, 1708, 271, 1040, 0, 22416, 7559, 15495, 666, 4283, 519, 1560, 998, 891, 18151, 17486, 267, 543, 1287, 2661, 538, 1560, 8031, 971, 607, 2699, 1973, 2281, 610, 519, 6797, 269, 901, 6646, 568, 1031, 547, 6146, 519, 13663, 15495, 2713, 3330, 2699, 1973, 2281, 269, 10281, 32611, 18608, 29783, 29693, 638, 523, 559, 568, 621, 15502, 547, 1491, 11430, 878, 320, 4208, 568, 519, 3075, 18038, 344, 18608, 29783, 25914, 29783, 814, 513, 1634, 4550, 13611, 1198, 269, 769, 3069, 713, 1223, 7654, 2569, 575, 650, 30046, 543, 2333, 5135, 3560, 634, 575, 650, 30046, 543, 4057, 5135, 3560, 568, 1018, 19754, 938, 3165, 898, 814, 1044, 1031, 538, 29867, 2094, 519, 3735, 476, 3583, 338, 1703, 568, 1100, 1634, 27611, 2534, 543, 4061, 786, 711, 1198, 1979, 11043, 19288, 25914, 29783, 568, 513, 6646, 1031, 547, 2061, 543, 547, 1521, 13663, 538, 2127, 1141, 13663, 568, 1634, 547, 581, 6213, 547, 922, 2360, 269, 15742, 2010, 540, 13663, 267, 11259, 12490, 267, 543, 7294, 2665, 3335, 2154, 1114, 610, 3606, 6646, 269, 898, 568, 849, 12212, 1031, 585, 993, 20623, 15633, 602, 568, 9648, 3544, 519, 24026, 267, 27131, 12263, 267, 543, 20461, 22980, 339, 3012, 657, 639, 269, 898, 568, 3144, 676, 5023, 269, 5871, 2427, 2360, 1331, 4887, 2042, 267, 2530, 540, 14031, 267, 13165, 267, 543, 2960, 16420, 269, 5395, 1190, 25914, 29783, 19552, 6164, 338, 594, 577, 15303, 665, 776, 517, 8886, 753, 267, 13149, 966, 10679, 339, 8376, 2549, 2643, 797, 514, 1756, 267, 27201, 7578, 3984, 18442, 1299, 772, 1258, 9047, 2261, 25177, 269, 1215, 1677, 6164, 910, 25914, 29783, 19552, 8713, 568, 513, 968, 2908, 3075, 892, 602, 2965, 729, 4922, 1031, 547, 1852, 5007, 1486, 9926, 10394, 538, 6070, 4248, 6864, 926, 4548, 1394, 538, 519, 476, 3583, 338, 1299, 476, 3199, 13195, 1256, 1031, 538, 930, 16983, 6527, 4421, 693, 700, 12396, 269, 5637, 5061, 949, 581, 2877, 585, 513, 2347, 10826, 543, 547, 2061, 519, 2132, 540, 3968, 630, 7758, 8985, 1040, 769, 930, 2665, 267, 596, 949, 991, 547, 1491, 513, 1114, 6646, 630, 7945, 607, 2215, 320, 638, 710, 264, 547, 6146, 519, 13663, 15495, 2713, 538, 824, 1560, 8031, 269, 25914, 29783, 19552, 3165, 6646, 25914, 29783, 1912, 24043, 476, 4335, 16936, 7305, 1206, 910, 2657, 310, 732, 5264, 267, 25914, 29783, 910, 9504, 6496, 29693, 638, 523, 559, 2014, 31004, 23979, 22134, 32611, 18608, 29783, 1279, 3368, 1272, 291, 32713, 3075, 3391, 7824, 18038, 344, 18608, 29783, 306, 3273, 8765, 4930, 29693, 638, 523, 559, 16991, 679, 576, 335, 10300, 4345, 22134, 32611, 18608, 29783, 2915, 14752, 25914, 29783, 1912, 24043, 267, 2372, 24100, 31527, 18608, 728, 267, 1299, 2372, 24100, 590, 5285, 622, 616, 4550, 2173, 531, 25106, 5061, 602, 616, 849, 1419, 1360, 2500, 585, 2582, 1591, 28341, 334, 24733, 553, 2572, 538, 3165, 267, 2523, 15303, 665, 776, 517, 267, 744, 617, 514, 1756, 267, 27201, 7578, 267, 543, 12212, 594, 577, 20321, 2684, 628, 597, 3780, 5564, 604, 18442, 543, 2770, 7719, 538, 15195, 25914, 29783, 1912, 24043, 267, 2372, 24100, 31527, 18608, 728, 4149, 5285, 622, 585, 907, 25914, 29783, 19552, 17039, 24035, 11833, 269, 25914, 29783, 1912, 24043, 910, 595, 999, 594, 577, 267, 13149, 966, 10679, 339, 267, 15588, 907, 4924, 476, 736, 267, 476, 1001, 274, 4107, 267, 952, 711, 782, 540, 519, 8392, 29783, 2139, 585, 16983, 946, 568, 538, 519, 1106, 540, 8392, 29783, 546, 13023, 24043, 607, 10353, 547, 8392, 29783, 8652 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 815, 476, 28143, 272, 11729, 513, 2178, 11553, 303, 609, 476, 26116, 274, 9704, 269, 910, 5213, 1234, 1076, 267, 3057, 476, 2537, 476, 1001, 279, 634, 1634, 2474, 513, 263, 272, 907, 276, 264, 14626, 728, 609, 519, 13113, 5311, 589, 26522, 14056, 269, 910, 631, 269, 674, 269, 13201, 2401, 267, 2904, 476, 736, 476, 1001, 280, 700, 2562, 16775, 12327, 21283, 4041, 737, 317, 272, 815, 737, 568, 6305, 585, 737, 815, 476, 273, 610, 1022, 824, 6305, 630, 22396, 269, 589, 1822, 31239, 1070, 865, 476, 272, 568, 513, 4759, 540, 713, 5311, 269, 737, 317, 273, 1341, 630, 330, 266, 272, 8203, 273, 568, 6305, 585, 930, 737, 630, 324, 3052, 1421, 737, 815, 476, 273, 11729, 476, 1724, 267, 1294, 589, 271, 2767, 279, 8618, 585, 519, 2407, 1592, 1070, 865, 476, 273, 568, 513, 4759, 540, 713, 5311, 269, 737, 317, 274, 1341, 630, 330, 266, 272, 8203, 274, 1341, 630, 330, 266, 273, 8203, 274, 815, 476, 274, 16732, 330, 266, 272, 31618, 330, 317, 273, 266, 273, 265, 330, 266, 274, 264, 568, 2760, 6305, 267, 4061, 476, 274, 568, 711, 513, 2165, 540, 713, 5311, 269, 6684, 267, 519, 7222, 4082, 585, 562, 815, 476, 275, 543, 562, 815, 476, 276, 568, 513, 2789, 540, 476, 273, 543, 476, 276, 267, 6606, 267, 543, 585, 782, 562, 815, 476, 278, 267, 10371, 1421, 476, 6078, 267, 519, 4082, 849, 8843, 513, 3815, 609, 562, 630, 663, 3976, 568, 513, 2789, 540, 562, 8164, 562, 568, 6305, 1040, 12039, 562, 815, 476, 8099, 568, 519, 10545, 562, 3436, 476, 5655, 585, 799, 519, 4082, 568, 711, 7223, 1227, 12432, 630, 1492, 9971, 538, 737, 814, 1543, 476, 272, 543, 568, 9048, 3027, 1043, 936, 1627, 1070, 855, 621, 1281, 3815, 607, 630, 330, 17347, 266, 272, 7565, 330, 266, 273, 7565, 330, 266, 274, 7565, 330, 266, 275, 4297, 317, 1015, 936, 2098, 318, 276, 267, 865, 568, 2141, 513, 2789, 540, 476, 276, 4700, 12039, 562, 815, 476, 13975, 568, 519, 1985, 835, 799, 568, 513, 2147, 2013, 269, 12039, 562, 815, 476, 23211, 568, 1454, 899, 562, 815, 476, 8099, 267, 855, 609, 513, 3815, 476, 278, 3079, 540, 476, 276, 269, 12039, 562, 815, 476, 20065, 1586, 11729, 606, 9048, 3027, 1043, 9971, 609, 1543, 476, 272, 267, 855, 607, 1354, 835, 666, 1397, 602, 621, 568, 2141, 16883, 676, 476, 276, 269, 1656, 865, 593, 269, 11550, 294, 630, 303, 2752, 296, 264, 737, 3799, 6661, 1721, 17347, 284, 272, 267, 476, 4335, 271, 267, 952, 263, 7371, 12065, 641, 31870, 4433, 636, 9217, 284, 271, 267, 562, 268, 272, 267, 630, 330, 266, 328, 8203, 333, 24270, 2132, 17347, 30727, 585, 3799, 284, 272, 267, 476, 4335, 267, 952, 17347, 3799, 1070, 1820, 3799, 30727, 1109, 1109, 11138, 3798, 1243, 676, 631, 269, 674, 269, 13201, 2401, 267, 3057, 476, 2537, 476, 1001, 279, 595, 4629, 7704, 3918, 12396, 595, 325, 269, 589, 1822, 31239, 267, 589, 271, 2767, 279, 8618, 267, 589, 26522, 14056, 269, 25627, 538, 2796, 281, 589, 12893, 280, 8618, 589, 11277, 15389, 589, 26522, 14056, 2608, 589, 4962, 275, 4391, 278, 589, 15996, 25313, 589, 28510, 275, 1626, 1520, 329, 8809, 9696, 281, 1109, 1109, 288, 26237, 280, 2190, 589, 26237, 280, 1839, 589, 26237, 280, 2918, 2608, 589, 26237, 280, 2764, 589, 26237, 280, 3066, 589, 26237, 280, 1789, 26395, 312, 310, 16704, 1875, 333, 267, 14551, 267, 3467, 27483, 295, 3036, 667, 699, 330, 2107, 337, 267, 2904, 476, 2918, 476, 1001, 275, 12327, 307, 2894, 31064, 306, 513, 263, 276, 264, 689, 5213, 1234, 1076, 267, 3057, 476, 2537, 476, 1001, 279, 7151, 22621, 543, 6905, 676, 631, 269, 674, 269, 13201, 2401, 267, 4455, 476, 4962, 476, 1001, 279, 29865, 4785, 9516, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 10765, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 5412, 476, 280, 476, 2537, 281, 4962, 29643, 476, 1001, 280, 269, 1230, 13935, 476, 31696, 279, 3199, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700, 0, 258, 3213, 324, 13266, 540, 3003, 3252, 609, 9138, 4642, 1305, 692, 4131, 3230, 313, 1422, 11357, 3553, 18091, 1422, 13992, 346, 290, 6525, 1510, 3970, 1448, 269, 1635, 519, 1284, 1512, 1598, 817, 26458, 11532, 972, 568, 606, 3003, 1599, 3230, 327, 2330, 1346, 4642, 1305, 568, 3230, 313, 21974, 2913, 3230, 320, 5332, 3436, 476, 271, 2330, 581, 513, 5311, 1141, 6695, 3916, 5332, 1422, 6912, 19559, 31765, 320, 5332, 13157, 271, 29634, 9223, 281, 2052, 3230, 327, 18750, 264, 815, 1422, 8999, 3709, 333, 1422, 613, 476, 271, 348, 321, 5332, 345, 18898, 2330, 607, 1657, 581, 6074, 971, 602, 3230, 347, 321, 5332, 347, 1422, 548, 513, 5332, 2330, 585, 782, 3230, 333, 2330, 26042, 1103, 845, 958, 594, 4898, 952, 519, 3252, 4947, 689, 519, 1284, 1512, 1598, 817, 26458, 11532, 723, 1022, 1880, 2208, 2783, 593, 741, 14170, 780, 1892, 634, 4642, 1305, 568, 1644, 547, 519, 2208, 540, 707, 1599, 267, 799, 568, 1644, 547, 519, 13177, 14170, 269, 634, 3044, 2835, 593, 519, 1641, 630, 22517, 553, 267, 585, 1383, 264, 786, 1865, 713, 538, 1390, 1469, 269, 1107, 1109, 22146, 3816, 1782, 4924, 476, 2537, 693, 476, 866, 281, 5655, 692, 763, 2626, 568, 538, 2489, 1100, 1317, 519, 4642, 1305, 781, 19427, 20800, 791, 4680, 513, 2539, 3808, 593, 519, 1931, 540, 2208, 540, 519, 1599, 267, 799, 538, 2490, 791, 4680, 513, 2208, 2783, 593, 513, 6102, 775, 540, 519, 13177, 14170, 780, 1103, 1469, 1384, 10112, 2541, 3230, 313, 2330, 12808, 540, 1576, 543, 1931, 782, 922, 1875, 25179, 2609, 630, 984, 16227, 3230, 313, 2330, 814, 1710, 7019, 1082, 4642, 525, 543, 585, 1142, 3230, 337, 3436, 476, 271, 2330, 972, 616, 1152, 1710, 7019, 1082, 2609, 538, 3230, 313, 2330, 22112, 676, 3230, 337, 2330, 538, 6207, 1871, 264, 676, 519, 2810, 6207, 1871, 540, 922, 2609, 3230, 271, 2999, 1923, 345, 318, 272, 347, 1422, 19008, 1923, 345, 318, 273, 347, 3267, 1422, 19008, 1923, 345, 5332, 347, 3267, 18079, 1287, 519, 19427, 20800, 6695, 24838, 2330, 540, 3230, 313, 2330, 568, 519, 6574, 2539, 3808, 540, 782, 6695, 14433, 2330, 521, 6745, 269, 6695, 306, 7950, 3189, 2765, 346, 272, 2410, 347, 345, 5332, 347, 17353, 14433, 3686, 6525, 4780, 2471, 267, 1141, 6695, 24838, 2330, 666, 581, 4642, 610, 20581, 543, 649, 666, 1265, 3230, 313, 2330, 547, 2285, 721, 1022, 971, 6695, 24838, 2330, 630, 1721, 13113, 1875, 25179, 6695, 24838, 2330, 1175, 4584, 3230, 345, 5332, 815, 2715, 333, 17353, 2765, 346, 272, 7346, 24838, 3686, 6525, 267, 585, 4642, 267, 3230, 345, 5332, 815, 2715, 273, 18898, 6525, 267, 585, 20581, 267, 3230, 345, 5332, 815, 562, 17353, 2765, 346, 272, 2410, 8421, 331, 1758, 24995, 2020, 10112, 2541, 1631, 3230, 325, 2330, 609, 4642, 1305, 3230, 313, 2330, 814, 1931, 6695, 24838, 2330, 607, 606, 3003, 1599, 630, 325, 9548, 610, 12808, 267, 519, 1931, 1373, 519, 9120, 3970, 540, 6695, 2765, 3189, 8421, 3189, 8421, 346, 300, 6958, 16868, 264, 3686, 7346, 8421, 346, 337, 3686, 18079, 950, 3230, 337, 2330, 4422, 547, 20581, 267, 1141, 3230, 300, 6958, 16868, 14638, 568, 519, 5021, 540, 3230, 347, 325, 347, 2330, 593, 519, 1167, 540, 8953, 3230, 337, 2330, 10704, 693, 519, 5169, 1070, 1287, 513, 2596, 11532, 630, 295, 611, 600, 731, 264, 827, 3003, 3252, 3081, 602, 519, 19427, 20800, 540, 922, 4642, 1305, 3989, 1657, 568, 1447, 610, 3160, 982, 922, 1931, 630, 984, 16227, 676, 14921, 3230, 325, 2330, 609, 1945, 899, 3230, 324, 3867, 324, 317, 345, 6525, 610, 3230, 324, 3867, 345, 317, 336, 6525, 267, 3230, 336, 2330, 1164, 8870, 267, 649, 666, 2141, 2333, 519, 1931, 267, 1256, 1118, 621, 12808, 267, 543, 1832, 1482, 4642, 1305, 267, 1498, 538, 713, 2013, 519, 1931, 3587, 7533, 610, 12808, 607, 585, 13113, 1875, 10784, 1122, 1537, 9753, 972, 568, 513, 598, 2091, 540, 519, 1657, 6393, 3719, 1631, 972, 568, 513, 4542, 602, 3947, 519, 1931, 540, 3230, 325, 2330, 538, 2474, 540, 519, 13177, 14170, 543, 621, 9247, 3081, 602, 952, 3230, 325, 18750, 264, 815, 1422, 306, 7950, 15830, 5332, 345, 18898, 6525, 814, 1931, 6695, 24838, 18079, 972, 568, 513, 6102, 775, 540, 13177, 14170, 3230, 322, 5332, 2330, 521, 6745, 6695, 2765, 346, 272, 2410, 347, 322, 5332, 348, 347, 2330, 568, 827, 3230, 333, 17353, 2765, 23533, 7346, 24838, 16585, 6525, 910, 1934, 649, 991, 6695, 24838, 2330, 1875, 25179, 267, 1247, 585, 6695, 24838, 2330, 20581, 649, 1175, 4612, 621, 607, 6695, 2765, 346, 272, 2410, 347, 322, 5332, 348, 347, 2330, 568, 4130, 982, 3230, 333, 17353, 2765, 23533, 7346, 24838, 16585, 6525, 585, 1022, 13113, 6695, 24838, 21974, 9747, 519, 5311, 540, 13177, 14170, 540, 606, 3003, 1599, 540, 1875, 25179, 1931, 814, 513, 6102, 775, 609, 513, 17386, 2557, 540, 2208, 630, 11377, 6912, 19559, 31765, 347, 322, 5332, 347, 6525, 1373, 827, 3230, 333, 3867, 10559, 2765, 346, 272, 7346, 24838, 3686, 18079, 1141, 1586, 649, 4612, 602, 607, 8912, 585, 6695, 24838, 2330, 12808, 1070, 865, 538, 1880, 649, 723, 9863, 519, 2942, 2626, 547, 519, 3312, 2243, 607, 1279, 607, 519, 4642, 1305, 3230, 313, 2330, 814, 1875, 25179, 19427, 20800, 780, 1892, 22108, 585, 519, 1079, 1292, 3601, 1031, 538, 519, 2626, 616, 281, 630, 272, 264, 4399, 24838, 1422, 548, 1422, 3667, 346, 867, 12917, 325, 7751, 281, 19748, 2742, 476, 275, 269, 279, 579, 341, 332, 12975, 270, 349, 339, 16632, 8500, 270, 1260, 14658, 338, 7428, 1001, 278, 10774, 611, 600, 731, 15005, 630, 273, 264, 4399, 3667, 346, 867, 12917, 325, 264, 815, 1422, 32093, 1575, 562, 315, 8421, 3799, 8358, 315, 8421, 263, 272, 270, 347, 321, 5332, 347, 7751, 281, 2979, 6745, 600, 340, 12975, 270, 349, 2692, 553, 11305, 12973, 270, 277, 1240, 268, 1220, 277, 320, 270, 10623, 321, 5400, 15005, 1107, 1109, 339, 329, 318, 4924, 476, 2537, 693, 476, 279, 281, 4905, 454, 1892, 8729, 585, 707, 2626, 269, 2334, 568, 1018, 594, 729, 3168, 585, 269, 589, 5634, 2243, 281, 1411, 2161, 4399, 6912, 19559, 31765, 347, 322, 5332, 347, 4151, 568, 827, 4399, 24838, 14672, 10608, 4340, 547, 519, 476, 273, 526, 1201, 269, 4399, 24838, 815, 1422, 32093, 1575, 562, 315, 8421, 3799, 8358, 315, 8421, 263, 272, 270, 347, 321, 5332, 347, 30879, 1924, 3884, 1405, 4399, 2765, 346, 272, 2410, 347, 322, 5332, 347, 4151, 827, 1269, 333, 3867, 333, 270, 315, 24838, 4151, 1775, 4318, 269, 4399, 6912, 19559, 31765, 347, 322, 5332, 347, 4151, 568, 827, 4399, 2765, 346, 272, 2410, 333, 3867, 272, 270, 315, 24838, 22288, 286, 1107, 1109, 339, 329, 318, 4924, 476, 2537, 693, 476, 279, 281, 1321, 454, 1892, 9811, 267, 22621, 910, 3765, 31419, 519, 12825, 1107, 1109, 3519, 2784, 4924, 476, 2537, 693, 476, 1724, 281, 4097, 454, 1892, 1656, 621, 568, 2965, 2653, 547, 2638, 609, 2241, 3252, 899, 1269, 324, 317, 345, 259, 543, 1269, 324, 3867, 345, 317, 273, 4151, 1141, 4399, 6912, 19559, 31765, 347, 322, 5332, 347, 4151, 568, 827, 4399, 2765, 346, 324, 2410, 333, 4151, 543, 1269, 7268, 2765, 346, 273, 324, 2410, 333, 348, 8203, 3189, 2765, 346, 272, 2410, 273, 22288, 676, 853, 26325, 267, 1247, 9753, 616, 476, 272, 543, 476, 273, 6606, 1107, 1109, 3519, 2784, 4924, 476, 2537, 693, 476, 1724, 281, 7918, 692, 763, 1292, 21677, 568, 1572, 808, 27255, 781, 8635, 269, 2913, 3230, 333, 16868, 14638, 581, 519, 10203, 1599, 540, 21325, 32372, 8999, 540, 3818, 2364, 885, 540, 21325, 538, 3230, 347, 345, 24689, 19008, 678, 2330, 1040, 27539, 585, 16134, 602, 3230, 327, 263, 271, 9385, 928, 336, 476, 271, 21974, 3973, 808, 27255, 781, 4542, 3081, 602, 6695, 842, 318, 271, 317, 337, 21702, 23533, 6025, 20972, 339, 348, 19049, 315, 19008, 1422, 8421, 631, 16868, 9984, 315, 8421, 347, 327, 263 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10289, 15051, 12833, 6295, 13216, 10606, 269, 630, 274, 1341, 476, 275, 343, 264, 630, 273, 1535, 264, 815, 476, 277, 1341, 630, 476, 274, 343, 264, 1341, 1341, 692, 23917, 281, 533, 343, 454, 9359, 4159, 693, 2985, 1384, 12606, 834, 18698, 15051, 12833, 6295, 13216, 10606, 269, 630, 274, 1341, 476, 275, 343, 264, 630, 273, 1535, 264, 815, 476, 277, 1341, 630, 476, 274, 343, 264, 1341, 1341, 5016, 9558, 5524, 692, 272, 8745, 4147, 11261, 476, 1556, 269, 273, 13216, 10606, 12708, 7726, 281, 1548, 568, 513, 1950, 1297, 267, 543, 875, 666, 596, 1039, 267, 10208, 267, 543, 9062, 1950, 2338, 286, 10812, 10289, 15051, 12833, 6295, 13216, 10606, 769, 713, 3992, 267, 596, 26270, 1451, 547, 1685, 4238, 609, 1950, 2338, 267, 799, 723, 513, 1106, 2147, 547, 5276, 23481, 338, 971, 607, 476, 274, 1341, 476, 275, 343, 543, 476, 273, 1535, 269, 12754, 24522, 518, 589, 5410, 519, 23481, 338, 476, 274, 1341, 476, 275, 343, 543, 476, 273, 1535, 269, 6828, 899, 2474, 269, 630, 274, 1341, 476, 275, 343, 264, 1341, 630, 273, 1535, 264, 815, 630, 274, 1341, 3738, 1341, 630, 275, 343, 1341, 3738, 28799, 899, 2474, 269, 815, 630, 1341, 3738, 645, 16265, 847, 476, 273, 1535, 689, 476, 274, 1341, 476, 275, 343, 269, 25166, 1679, 607, 1840, 269, 630, 274, 1341, 476, 275, 343, 264, 630, 273, 1535, 264, 815, 630, 274, 1341, 476, 275, 343, 264, 1341, 630, 476, 273, 1341, 3738, 6828, 899, 2474, 269, 815, 630, 274, 1341, 3738, 1341, 630, 275, 343, 1341, 3738, 28799, 899, 2474, 269, 815, 630, 1341, 3738, 595, 25092, 519, 23481, 338, 476, 274, 1341, 476, 275, 343, 543, 476, 273, 1535, 269, 2422, 29332, 6579, 269, 630, 274, 1341, 476, 275, 343, 264, 630, 273, 1535, 264, 815, 476, 277, 1341, 630, 476, 274, 343, 264, 1341, 1341, 28799, 899, 2474, 269, 815, 14484, 476, 272, 269, 769, 5153, 589, 267, 596, 1336, 602, 630, 274, 1341, 476, 275, 343, 264, 1341, 630, 273, 1535, 264, 815, 476, 276, 1341, 476, 274, 343, 269, 14597, 1535, 815, 1775, 630, 1492, 16494, 1770, 1040, 1548, 3830, 798, 596, 1205, 286, 476, 273, 269, 769, 5153, 645, 267, 596, 1336, 602, 630, 274, 1341, 476, 275, 343, 264, 1341, 630, 273, 1535, 264, 815, 476, 272, 1341, 476, 276, 343, 269, 14597, 1535, 815, 1775, 630, 1492, 16494, 1770, 1040, 1548, 3830, 798, 596, 1205, 286, 476, 274, 269, 769, 5153, 595, 267, 596, 1336, 602, 630, 274, 1341, 476, 275, 343, 264, 630, 273, 1535, 264, 815, 476, 277, 1341, 476, 276, 343, 910, 476, 275, 1535, 476, 273, 269, 14597, 1535, 815, 1775, 630, 1492, 16494, 1770, 1040, 1548, 3830, 798, 596, 1205, 286, 1215, 666, 596, 2417, 14458, 519, 1318, 2427, 540, 713, 3830, 286, 21602, 7689, 476, 273, 692, 273, 11512, 476, 272, 20223, 13216, 10606, 589, 1950, 1297, 568, 1022, 1297, 602, 666, 581, 2854, 538, 519, 1106, 513, 1341, 1979, 267, 1141, 513, 543, 536, 616, 1483, 2338, 543, 1775, 815, 9041, 910, 272, 269, 1280, 513, 1950, 1297, 513, 1341, 1979, 513, 568, 1572, 519, 1483, 851, 540, 519, 1297, 267, 543, 536, 568, 1572, 519, 16494, 851, 269, 630, 9616, 602, 16494, 851, 4016, 547, 519, 1483, 12750, 1512, 540, 1775, 282, 621, 1281, 711, 3277, 547, 519, 16494, 1297, 1979, 4700, 634, 966, 3317, 6516, 2982, 930, 1806, 540, 1950, 2338, 269, 13216, 10606, 476, 274, 1341, 476, 275, 328, 476, 275, 268, 273, 328, 476, 272, 910, 1775, 476, 276, 7464, 10606, 476, 1704, 268, 276, 12631, 22569, 2435, 10606, 476, 273, 328, 910, 278, 328, 1775, 1775, 18564, 602, 519, 1305, 540, 1483, 2338, 568, 513, 15410, 540, 519, 1305, 540, 1950, 2338, 269, 2334, 521, 1317, 513, 1483, 1297, 513, 666, 581, 2854, 538, 519, 1106, 513, 1341, 476, 271, 328, 630, 3369, 846, 16494, 851, 568, 476, 271, 1040, 19452, 267, 519, 1305, 540, 16494, 2338, 568, 849, 513, 15410, 540, 519, 1305, 540, 1950, 2338, 267, 1317, 606, 16494, 1297, 1979, 630, 3602, 536, 476, 271, 264, 666, 581, 2854, 538, 519, 1106, 476, 271, 1341, 1979, 630, 3369, 846, 1483, 851, 568, 476, 271, 1040, 7151, 476, 272, 10576, 519, 1483, 543, 16494, 2694, 540, 519, 2016, 1297, 269, 3973, 2995, 799, 540, 519, 1739, 5036, 519, 1297, 12851, 547, 281, 1483, 2338, 267, 16494, 2338, 267, 543, 1950, 2338, 269, 589, 476, 280, 1341, 476, 276, 328, 634, 1483, 851, 540, 476, 280, 1341, 476, 276, 328, 568, 476, 280, 267, 543, 519, 16494, 851, 568, 476, 276, 269, 5221, 1312, 519, 1483, 543, 16494, 2694, 540, 476, 280, 1341, 476, 276, 328, 616, 1875, 14706, 267, 519, 1297, 12851, 1152, 547, 519, 1305, 540, 1950, 2338, 269, 645, 910, 278, 328, 2659, 12414, 634, 1483, 851, 540, 910, 278, 328, 568, 267, 543, 519, 16494, 851, 568, 269, 5221, 519, 1483, 270, 19960, 2435, 851, 568, 476, 271, 267, 519, 1297, 12851, 547, 891, 5036, 15545, 10576, 519, 1483, 543, 16494, 2694, 540, 519, 2016, 1297, 269, 3973, 2995, 799, 540, 519, 1739, 5036, 519, 1297, 12851, 547, 281, 1483, 2338, 267, 16494, 2338, 267, 543, 1950, 2338, 21602, 7689, 476, 273, 692, 274, 1775, 11512, 476, 273, 17006, 543, 16265, 24219, 13216, 10606, 1677, 1039, 610, 10208, 1950, 2338, 267, 1039, 610, 10208, 519, 1483, 2694, 543, 519, 16494, 2694, 14384, 269, 7151, 476, 273, 5410, 610, 10208, 519, 1950, 2338, 269, 589, 630, 1775, 3738, 1341, 630, 476, 276, 268, 1556, 328, 3738, 6828, 899, 2474, 269, 630, 476, 278, 1341, 476, 273, 328, 264, 1341, 630, 276, 476, 1556, 328, 264, 815, 630, 476, 278, 1341, 476, 276, 264, 1341, 630, 273, 328, 1341, 630, 476, 1556, 328, 3738, 3738, 28799, 899, 2474, 269, 3503, 1840, 607, 12408, 269, 815, 476, 273, 1341, 630, 476, 280, 328, 264, 815, 476, 273, 476, 280, 328, 645, 630, 1775, 3738, 910, 630, 476, 273, 1341, 476, 274, 328, 3738, 6828, 899, 2474, 269, 630, 1775, 264, 630, 273, 1341, 476, 274, 328, 264, 815, 630, 476, 1240, 3738, 1341, 630, 476, 274, 328, 3738, 28799, 899, 2474, 269, 815, 1341, 1775, 14484, 476, 277, 269, 1772, 519, 2040, 630, 320, 1341, 1979, 264, 1341, 630, 320, 910, 1979, 264, 1141, 513, 543, 536, 616, 1483, 2338, 267, 513, 1483, 1297, 610, 606, 16494, 1297, 286, 11512, 269, 2659, 12414, 5410, 610, 10208, 519, 1950, 2338, 269, 476, 278, 269, 630, 1704, 268, 277, 328, 264, 910, 630, 280, 1341, 476, 1015, 328, 264, 476, 279, 269, 630, 1775, 264, 1341, 11196, 279, 268, 1321, 328, 264, 21602, 7689, 476, 273, 692, 275, 11512, 476, 274, 5564, 28745, 13216, 10606, 1677, 9062, 1079, 1950, 2338, 267, 946, 519, 2733, 5737, 3959, 547, 9062, 1142, 851, 540, 835, 1297, 676, 1142, 851, 540, 519, 824, 269, 2422, 519, 1249, 602, 1775, 476, 273, 815, 910, 272, 547, 14458, 519, 1267, 269, 7151, 476, 274, 25092, 519, 1950, 2338, 269, 589, 630, 275, 1341, 476, 280, 328, 264, 630, 277, 476, 273, 328, 264, 2422, 519, 2733, 5737, 3959, 269, 630, 275, 1341, 476, 280, 328, 264, 630, 277, 476, 273, 328, 264, 815, 476, 2190, 476, 279, 328, 1341, 476, 7918, 328, 476, 1240, 1775, 476, 273, 15240, 3482, 476, 272, 585, 1775, 476, 273, 269, 815, 476, 2190, 476, 279, 328, 1341, 476, 7918, 328, 476, 1240, 11196, 272, 264, 28799, 899, 2474, 269, 815, 1775, 645, 630, 1775, 264, 630, 278, 1341, 476, 275, 328, 264, 2422, 519, 2733, 5737, 3959, 269, 630, 1775, 264, 630, 278, 1341, 476, 275, 328, 264, 815, 476, 1321, 328, 1775, 476, 273, 15240, 3482, 476, 272, 585, 1775, 476, 273, 269, 815, 476, 1321, 328, 630, 476, 272, 264, 28799, 899, 2474, 269, 815, 1341, 1775, 14484, 476, 280, 269, 1772, 519, 1587, 540, 630, 320, 1341, 1979, 264, 630, 320, 910, 1979, 1070, 1141, 513, 543, 536, 616, 1483, 2338, 267, 513, 1483, 1297, 610, 606, 16494, 1297, 286, 11512, 269, 2659, 12414, 25092, 519, 1950, 2338, 269, 476, 1015, 269, 630, 277, 268, 276, 328, 264, 630, 274, 268, 1015, 328, 264, 476, 1556, 269, 630, 279, 1341, 476, 1428, 328, 264, 630, 1556, 1341, 1775, 264, 21602, 7689, 476, 273, 692, 276, 11512, 476, 275, 14572, 513, 7464, 28131, 9046, 4635, 13216, 10606, 15379, 8030, 946, 1950, 2338, 950, 7421, 3167, 11387, 269, 1323, 3167, 5547, 666, 2270, 1614, 2010, 540, 3334, 281, 27856, 267, 1802, 4701, 267, 543, 29522, 269, 1306, 3254, 538, 519, 3349, 267, 1142, 1826, 540, 5057, 814, 513, 1114, 3090, 538, 513, 5547, 6516, 267, 543, 1142, 568, 6719, 676, 513, 1114, 1826, 540, 1950, 1297, 1759, 593, 519, 5123, 5086, 540, 519, 1699, 8429, 998, 621, 269, 18065, 3281, 9426, 13507, 538, 18065, 12810, 18001, 24234, 23830, 607, 513, 13216, 7089, 1763, 626, 528, 476, 271, 589, 1483, 1297, 513, 1473, 340, 2758, 476, 3445, 1323, 16494, 1297, 1979, 1141, 536, 3436, 476, 271, 7167, 659, 3218, 910, 3445, 1323, 16494, 1297, 1979, 1141, 536, 2999, 476, 271, 589, 6516, 540, 606, 20367, 1699, 630, 3722, 264, 3167, 5547, 568, 3254, 2059, 609, 519, 25317, 630, 1889, 25979, 538, 19315, 916, 267, 3852, 358, 264, 540, 1142, 5057, 538, 519, 5547, 269, 1323, 8028, 1379, 2707, 267, 799, 568, 3254, 593, 519, 2451, 538, 519, 6516, 543, 13042, 476, 6344, 966, 630, 1721, 24311, 1070, 3123, 9211, 547, 2095, 998, 519, 5547, 269, 1955, 6244, 766, 568, 513, 2268, 540, 1142, 5057, 521, 11685, 547, 519, 6475, 2095, 269, 7151, 966, 2422, 519, 6516, 540, 519, 3167, 5547, 547, 2626, 519, 1739, 2055, 269, 476, 275, 3852, 358, 476, 276, 3852, 358, 476, 274, 3852, 358, 589, 645, 634, 2698, 25317, 538, 519, 5547, 568, 519, 2040, 540, 519, 15641, 1734, 585, 519, 1367, 3334, 269, 1548, 568, 519, 2698, 25317, 585, 519, 2016, 5547, 286, 3503, 519, 25317, 585, 1142, 5057, 607, 513, 1950, 1297, 269, 1955, 6244, 766, 585, 519, 19919, 281, 476, 275, 1955, 6244, 766, 585, 519, 1802, 2758, 281, 476, 274, 328, 1955, 6244, 766, 585, 519, 19218, 281, 910, 276, 328, 3973, 1265, 519, 2040, 540, 519, 15641, 1734, 269, 11192, 25317, 815, 476, 275, 1341, 476, 274, 328, 1341, 630, 476, 276, 328, 264, 815, 476, 275, 476, 273, 328, 7937, 332, 521, 1876, 585, 8028, 3167, 11387, 3081, 602, 519, 6453, 966, 630, 1889, 25979, 538, 24311, 264, 568, 519, 1587, 540, 519, 1699, 594, 630, 1889, 25979, 538, 993, 1186, 264, 543, 519, 25317, 2098, 630, 1889, 25979, 538, 19315, 916, 2567, 966, 815, 594, 2098, 269, 1280, 519, 2016, 5547, 267, 519, 1699, 594, 568, 1775, 993, 1186, 269, 1548, 568, 519, 6453, 966, 585, 1142, 5057, 538, 519, 5547, 286, 2422, 7937, 332, 521, 1876, 267, 966, 815, 594, 2098, 267, 547, 1265, 519, 6453, 585, 1142, 5057, 269, 5457, 602, 2098, 568, 519, 25317, 689, 3487, 589, 269, 21602, 7689, 476, 273, 692, 277, 30579, 585, 519, 19919, 815, 594, 2098, 815, 630, 1775, 264, 630, 3738, 815, 476, 9834, 1341, 1775, 30579, 585, 519, 1802, 2758, 815, 594, 2098, 815, 630, 1775, 264, 630, 3738, 815, 1775, 30579, 585, 519, 19218, 815, 594, 2098, 815, 630, 1775, 264, 630, 3738, 815, 476, 6344, 328, 14484, 476, 1321, 269, 4855, 519, 2040, 540, 519, 28696, 585, 519, 1614, 3334, 538, 3487, 645, 269, 1548, 798, 596, 5469, 286, 2659, 12414, 476, 1724, 269, 14597, 519, 5547, 9916, 538, 7151, 476, 275, 814, 513, 2034, 19919, 609, 606, 25317, 540, 476, 273, 3852, 358, 3773, 547, 621, 269, 4855, 519, 2698, 25317, 269, 9717, 602, 519, 5547, 1631, 814, 513, 1699, 540, 1775, 993, 1186, 267, 849, 1265, 519, 6453, 585, 1142, 5057, 538, 519, 5547, 269, 4432, 1987, 622, 476, 1691, 269, 1548, 2186, 540, 1297, 568, 519, 2040, 267, 3017, 267, 610, 1587, 540, 1079, 1950, 2338, 286, 476, 1428, 269, 1879, 568, 519, 2040, 540, 1079, 1950, 2338, 513, 1483, 1297, 286, 1879, 568, 519, 2040, 540, 1079, 1950, 2338, 606, 16494, 1297, 286, 21602, 7689, 476, 273, 692, 278, 476, 1626, 269, 17564, 1548, 616, 519, 10486, 543, 3604, 1063, 14921, 1079, 1950, 2338, 543, 14921, 1079, 23481, 5276, 7215, 538, 519, 1482, 4756 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1604, 269, 1306, 2029, 5170, 547, 4434, 267, 865, 1932, 798, 3255, 585, 29356, 1107, 1818, 1631, 606, 3078, 942, 547, 5490, 4514, 883, 713, 4241, 1858, 540, 7384, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 305, 664, 11312, 3670, 26362, 3774, 327, 2931, 454, 763, 5031, 540, 590, 17344, 1640, 7224, 1323, 5864, 7559, 568, 922, 7415, 5605, 4800, 269, 898, 568, 8719, 676, 519, 1102, 3836, 11768, 543, 519, 9517, 585, 519, 3597, 2070, 540, 602, 11768, 568, 519, 835, 9138, 676, 519, 543, 5514, 281, 8882, 3836, 27306, 14487, 540, 519, 7348, 1805, 889, 269, 769, 267, 519, 3328, 10865, 7264, 621, 25374, 585, 729, 476, 6795, 607, 3379, 547, 476, 5038, 538, 269, 634, 16635, 6238, 609, 519, 6735, 5180, 1282, 799, 513, 1297, 540, 2206, 619, 267, 11051, 543, 1053, 786, 642, 773, 585, 6666, 26065, 267, 1519, 513, 2027, 16101, 540, 519, 14470, 17912, 5980, 269, 3807, 1317, 596, 666, 22321, 1866, 602, 3109, 568, 3043, 1281, 711, 1118, 621, 513, 1249, 269, 1284, 2461, 8237, 22017, 2832, 15318, 11360, 4647, 585, 513, 18947, 7177, 26064, 547, 6443, 938, 19007, 1870, 269, 1403, 596, 11291, 267, 538, 1250, 3312, 2022, 267, 594, 729, 3168, 585, 899, 16490, 1004, 267, 711, 1623, 12949, 9088, 269, 3776, 5207, 512, 1512, 540, 12600, 918, 1157, 560, 6621, 21951, 3947, 596, 1569, 547, 29375, 302, 12600, 15361, 602, 18864, 3116, 855, 519, 824, 4154, 543, 31091, 13588, 786, 2479, 581, 2111, 547, 19334, 269, 20646, 2880, 602, 789, 1500, 891, 1992, 320, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 6355, 1299, 8605, 2032, 12229, 1315, 19478, 1849, 1801, 1315, 11426, 1944, 20787, 8759, 774, 8974, 12704, 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, 281, 634, 19196, 1746, 2622, 540, 23618, 633, 12267, 543, 24805, 566, 7010, 692, 5331, 596, 616, 2542, 513, 1433, 1141, 519, 1292, 1915, 568, 513, 15931, 19792, 945, 31758, 12357, 10963, 1210, 741, 8325, 2247, 543, 2616, 656, 3750, 269, 1411, 1246, 2059, 607, 789, 5531, 10881, 267, 5967, 31268, 267, 543, 6368, 21048, 559, 519, 5168, 3297, 519, 6760, 269, 901, 1826, 540, 1650, 568, 1634, 607, 19792, 5708, 256, 1280, 1082, 1296, 267, 891, 2984, 941, 2808, 1175, 1187, 9913, 267, 899, 4730, 3756, 610, 8384, 9413, 269, 1809, 1631, 649, 917, 602, 19792, 5708, 4249, 513, 1713, 1909, 538, 3332, 1317, 621, 7710, 1271, 4798, 971, 607, 5126, 267, 13919, 267, 543, 1480, 2623, 780, 4131, 781, 4685, 4514, 883, 713, 4241, 1158, 256, 2290, 2442, 1106, 540, 19792, 5708, 568, 1572, 834, 3369, 617, 28493, 2437, 799, 2934, 513, 1950, 11015, 827, 23115, 856, 945, 8149, 519, 6760, 269, 6271, 1826, 568, 834, 14551, 2692, 6150, 257, 19792, 2984, 267, 799, 1419, 1491, 1747, 538, 27497, 1399, 4683, 5054, 543, 1445, 593, 2962, 543, 5208, 269, 3143, 2339, 1018, 2186, 540, 19792, 1650, 596, 1224, 267, 789, 782, 2671, 835, 3364, 538, 1455, 910, 789, 4161, 707, 2634, 547, 1589, 9691, 543, 4194, 2042, 7258, 519, 19792, 2439, 3086, 1577, 781, 6467, 24039, 513, 3787, 543, 2911, 827, 1776, 4277, 1523, 1572, 16252, 1949, 269, 5620, 596, 2479, 8068, 602, 950, 596, 4585, 7044, 2228, 610, 6300, 593, 7270, 267, 789, 2303, 1007, 7044, 610, 2472, 1759, 593, 1018, 596, 723, 5892, 14478, 610, 11751, 286, 2334, 781, 7064, 547, 16252, 1949, 256, 1452, 2780, 3292, 5659, 3593, 7375, 543, 1287, 2303, 4143, 3688, 9935, 780, 4913, 267, 4358, 909, 513, 1007, 16252, 1062, 666, 3006, 581, 16602, 269, 1879, 972, 5749, 1405, 2614, 3755, 3246, 3403, 2943, 267, 519, 1062, 1522, 6560, 547, 2709, 1434, 7840, 269, 901, 3390, 568, 5219, 547, 607, 519, 834, 322, 1245, 1376, 1966, 1701, 6056, 827, 11836, 513, 6216, 20642, 1514, 2923, 3760, 282, 2394, 811, 1004, 6443, 543, 2170, 609, 1142, 824, 267, 519, 3135, 4465, 1405, 1174, 707, 4690, 1360, 1134, 543, 949, 711, 1683, 1390, 10372, 780, 3383, 1946, 798, 3713, 1161, 543, 16252, 1949, 4866, 1927, 538, 938, 3184, 286, 4270, 267, 1312, 4125, 6061, 13410, 543, 1620, 3270, 256, 3807, 899, 3713, 1161, 1413, 585, 4296, 1063, 4773, 540, 2963, 267, 16252, 1949, 3406, 585, 6402, 1063, 3593, 5615, 269, 1635, 3695, 891, 1079, 10578, 3584, 2427, 8386, 20933, 267, 649, 4126, 547, 8141, 7279, 543, 8300, 2565, 3206, 1851, 1762, 6267, 899, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3682, 17503, 540, 519, 476, 1708, 274, 476, 273, 526, 4139, 10985, 593, 4317, 7070, 543, 28299, 543, 8551, 630, 7704, 11190, 476, 1708, 274, 994, 300, 2129, 323, 674, 879, 17844, 10822, 20767, 517, 267, 2271, 752, 4725, 1325, 600, 16679, 267, 2725, 327, 5471, 595, 383, 506, 20911, 312, 307, 645, 384, 364, 305, 298, 383, 500, 298, 267, 20943, 26422, 26960, 454, 312, 10224, 15651, 267, 681, 2863, 532, 9149, 454, 19547, 624, 633, 5708, 814, 1044, 9833, 607, 1945, 585, 18883, 585, 513, 1279, 942, 1496, 272, 267, 476, 273, 4940, 3509, 1004, 3494, 602, 621, 568, 8806, 519, 24848, 516, 610, 519, 1970, 321, 992, 269, 1717, 267, 609, 942, 2469, 676, 267, 519, 4567, 540, 19792, 5708, 568, 4657, 7930, 269, 898, 5956, 547, 19582, 513, 4105, 2990, 538, 3703, 543, 1977, 3332, 19601, 312, 826, 7315, 1627, 514, 267, 18961, 10202, 26284, 267, 14576, 3279, 334, 18681, 267, 962, 8811, 10224, 25463, 454, 763, 2857, 2658, 1062, 814, 694, 788, 539, 883, 1142, 7944, 540, 519, 3618, 267, 855, 1022, 2857, 2658, 1062, 814, 547, 1995, 519, 1184, 540, 15877, 1239, 693, 519, 4098, 269, 1924, 267, 875, 547, 4363, 1919, 1134, 538, 602, 2783, 3587, 513, 4411, 1376, 1966, 269, 634, 16252, 1062, 4411, 1376, 1966, 814, 2141, 1044, 513, 2462, 2483, 14813, 26475, 540, 519, 3938, 1399, 731, 11412, 990, 566, 538, 8466, 543, 8836, 2349, 4169, 593, 519, 1763, 6342, 685, 23281, 540, 9255, 454, 288, 8865, 5530, 540, 645, 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, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 2811, 2469, 593, 513, 7552, 4166, 269, 2334, 781, 3078, 256, 5620, 596, 2219, 827, 875, 547, 2951, 538, 513, 1259, 602, 781, 7874, 547, 938, 4541, 2496, 7692, 281, 670, 7825, 267, 1018, 798, 596, 1611, 267, 7705, 286, 6145, 2921, 513, 7077, 610, 1945, 2496, 8334, 281, 4270, 267, 9811, 267, 855, 972, 781, 811, 547, 621, 982, 1175, 602, 269, 1411, 1294, 267, 1082, 1919, 649, 798, 950, 10707, 666, 1860, 519, 3047, 11874, 269, 1809, 1810, 1405, 5855, 1107, 649, 666, 1869, 723, 1187, 1247, 1373, 13533, 540, 938, 5079, 256, 2913, 803, 2285, 596, 930, 2093, 780, 7692, 281, 17610, 267, 594, 9364, 2648, 547, 1451, 256, 1548, 666, 594, 798, 2496, 8334, 281, 589, 1434, 1376, 568, 7446, 14884, 610, 21772, 3079, 540, 10760, 8164, 2009, 269, 1452, 3681, 3132, 7864, 8511, 9362, 267, 799, 3636, 909, 938, 4541, 269, 1403, 10760, 568, 2556, 267, 2119, 16116, 1463, 19426, 547, 2569, 3327, 5434, 689, 14742, 13941, 543, 2921, 1055, 2789, 2053, 780, 7692, 281, 7937, 267, 594, 1294, 269, 1924, 267, 952, 594, 1491, 519, 5721, 547, 3643, 1250, 22594, 1614, 3108, 2476, 267, 621, 1131, 581, 1732, 585, 519, 1604, 982, 10760, 267, 1318, 2496, 8334, 281, 22549, 267, 7585, 256, 1656, 1934, 781, 1776, 3364, 281, 8744, 707, 23431, 1216, 11480, 543, 16152, 538, 23431, 11149, 786, 1711, 1447, 3653, 1282, 707, 3460, 269, 898, 1522, 3100, 1507, 267, 855, 1169, 3787, 2337, 2439, 7692, 281, 20944, 621, 267, 7705, 269, 594, 666, 9090, 798, 602, 269, 32506, 3116, 2496, 8334, 281, 8786, 267, 1141, 596, 3442, 547, 3251, 6927, 1932, 269, 6733, 585, 20730, 610, 10519, 1023, 602, 946, 7791, 1648, 267, 22120, 267, 543, 18359, 1216, 269, 6884, 789, 1256, 2709, 15314, 585, 14538, 547, 19074, 28734, 543, 13274, 839, 3079, 540, 3478, 4195, 3283, 3232, 780, 7692, 281, 28514, 267, 865, 594, 1058, 1265, 4025, 602, 1416, 827, 519, 1604, 607, 1454, 607, 594, 798, 269, 2334, 2306, 2631, 780, 8334, 281, 25999, 267, 7585, 256, 1635, 3257, 713, 267, 596, 3513, 948, 5000, 824, 4213, 547, 1246, 9290, 269, 3767, 267, 835, 2063, 9133, 281, 3314, 547, 2463, 2199, 9821, 543, 5389, 16382, 596, 979, 269, 901, 3762, 513, 2318, 1764, 593, 1312, 519, 2146, 543, 519, 1604, 780, 7692, 281, 26272, 267, 7705, 267, 7064, 585, 782, 891, 4388, 256, 594, 1745, 811, 5423, 1631, 267, 543, 594, 917, 594, 666, 1118, 513, 3017, 676, 1739, 873, 780, 8334, 281, 3143, 1966, 267, 7585, 256, 5457, 267, 1256, 2370, 2242, 666, 1291, 547, 2462, 5222, 950, 621, 2501, 547, 7863, 938, 4541, 269, 15822, 12599, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24154, 2738, 1404, 606, 2479, 2987, 920, 2084, 1909, 538, 938, 2729, 267, 543, 1004, 616, 2502, 609, 873, 899, 2760, 1354, 269, 11531, 267, 519, 2518, 2551, 568, 2479, 811, 6857, 540, 519, 3441, 1373, 2944, 547, 938, 4541, 267, 543, 519, 1804, 8397, 2360, 602, 3818, 3084, 14078, 666, 723, 593, 2804, 543, 1514, 5054, 269, 2659, 5561, 616, 10478, 585, 1007, 2081, 547, 4497, 609, 596, 593, 6940, 2152, 269, 23207, 2338, 540, 6800, 1413, 585, 6940, 5059, 3435, 585, 741, 4948, 2115, 910, 8939, 811, 13998, 543, 13476, 6857, 2472, 543, 2533, 936, 543, 1657, 1346, 945, 2322, 12434, 1354, 4541, 563, 306, 20980, 12478, 1818, 513, 1483, 2318, 3017, 616, 1346, 602, 3180, 2418, 602, 979, 3564, 9003, 1818, 2724, 269, 1358, 2226, 606, 20440, 547, 1118, 519, 1158, 513, 1732, 1747, 267, 543, 616, 8348, 547, 11716, 7443, 538, 519, 1391, 585, 1732, 8088, 725, 543, 2825, 1489, 563, 1103, 476, 1001, 279, 513, 12655, 4858, 2738, 10554, 4330, 2947, 1898, 9270, 585, 1022, 10357, 7888, 735, 320, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 30728, 1315, 13129, 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, 594, 3314, 950, 594, 1101, 1224, 570, 18223, 31513, 781, 834, 14582, 3437, 257, 585, 1250, 2852, 3332, 1362, 267, 621, 2451, 971, 606, 30170, 1665, 593, 803, 602, 594, 8694, 909, 1603, 1250, 15938, 5098, 827, 519, 24575, 540, 5198, 543, 3961, 538, 519, 3209, 269, 9741, 1705, 594, 917, 602, 1296, 2663, 267, 594, 1131, 1265, 8885, 538, 513, 15116, 3510, 1141, 519, 4798, 540, 519, 1433, 1131, 1831, 782, 1932, 1483, 585, 803, 780, 296, 993, 513, 3043, 4807, 945, 8057, 909, 538, 513, 1507, 4884, 538, 519, 29268, 267, 543, 594, 1185, 2141, 1044, 19832, 676, 13395 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20069, 4970, 353, 14748, 31284, 21550, 485, 8147, 30006, 498, 417, 28187, 22047, 277, 14748, 30317, 27381, 510, 7511, 28578, 23989, 454, 16875, 476, 10429, 370, 18809, 21588, 361, 22047, 30522, 353, 29072, 15159, 31284, 21550, 485, 271, 14035, 500, 8147, 13213, 502, 20069, 22047, 31284, 21550, 485, 268, 278, 267, 31006, 12571, 492, 22047, 30522, 353, 29072, 454, 16875, 476, 31284, 21550, 485, 15159, 277, 23284, 14035, 500, 8147, 13213, 502, 20069, 22047, 31284, 21550, 485, 268, 272, 25707, 1038, 2608, 476, 28578, 23989, 18809, 23746, 23284, 20069, 19404, 491, 14035, 491, 7511, 12255, 29004, 362, 454, 1038, 2608, 4994, 263, 7407, 267, 11034, 267, 17380, 264, 32352, 25913, 25622, 13213, 498, 18713, 508, 418, 509, 494, 14748, 30317, 27381, 510, 27962, 30678, 271, 7511, 27381, 351, 19764, 499, 454, 825, 8173, 825, 700, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 278, 267, 279, 2639, 825, 1820, 3488, 299, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 278, 267, 279, 316, 5073, 825, 1948, 4994, 263, 7407, 264, 476, 20069, 14035, 504, 14748, 29219, 28793, 9463, 359, 13213, 498, 18713, 508, 21588, 361, 22047, 454, 825, 1820, 3488, 30317, 27381, 510, 29219, 275, 7511, 27381, 351, 19764, 499, 8147, 299, 28827, 263, 275, 2567, 3299, 299, 28827, 263, 275, 4917, 825, 1820, 3488, 10524, 492, 31284, 21550, 485, 275, 23523, 478, 12571, 492, 19867, 378, 30317, 27381, 510, 278, 7511, 31284, 21550, 485, 8147, 299, 28827, 263, 278, 267, 275, 2567, 3299, 299, 28827, 263, 278, 267, 275, 4917, 825, 1820, 3488, 10524, 492, 31284, 21550, 485, 274, 420, 485, 367, 279, 19867, 378, 30317, 27381, 510, 29219, 278, 7511, 31284, 21550, 485, 8147, 299, 28827, 263, 278, 267, 274, 267, 279, 2567, 3299, 299, 28827, 263, 278, 267, 274, 267, 279, 4917, 825, 1820, 3488, 299, 314, 271, 13912, 3299, 299, 314, 271, 7481, 825, 1820, 3488, 299, 15631, 278, 13912, 3299, 299, 15631, 278, 7481, 825, 1820, 3488, 299, 15631, 272, 13912, 3299, 299, 15631, 272, 20285, 825, 1948, 476, 10254, 485, 29830, 485, 418, 497, 491, 30853, 16088, 454, 825, 1948, 1496, 11034, 281, 17380, 281, 21163, 316, 476, 10524, 492, 11034, 28996, 17380, 267, 21251, 25060, 483, 418, 489, 361, 17380, 267, 7090, 16583, 510, 18263, 492, 19867, 478, 20069, 7511, 17380, 9463, 480, 12255, 421, 25693, 21251, 12571, 360, 454, 825, 1948, 3247, 25707, 825, 1820, 3488, 10254, 485, 29830, 485, 418, 497, 491, 30853, 16088, 5073, 825, 1820, 3488, 299, 11468, 316, 476, 13107, 378, 419, 353, 374, 10429, 357, 421, 481, 357, 8147, 10254, 505, 417, 375, 374, 29072, 22047, 418, 489, 371, 420, 368, 507, 281, 3299, 299, 11468, 8079, 22322, 825, 1948, 476, 28578, 23989, 418, 489, 371, 420, 368, 507, 454, 825, 2415, 272, 815, 700, 11468, 2639, 825, 1820, 3488, 1173, 272, 815, 700, 11468, 3910, 2745, 263, 1173, 272, 2567, 3299, 1173, 272, 994, 825, 1820, 3488, 1173, 272, 568, 700, 7790, 281, 3299, 1173, 272, 568, 700, 994, 825, 1948, 476, 28578, 23989, 9463, 491, 420, 377, 361, 454, 825, 2415, 272, 815, 700, 11468, 18737, 272, 316, 22322, 825, 1820, 3488, 1173, 272, 284, 299, 11468, 18737, 272, 3910, 9463, 491, 420, 377, 361, 28578, 23989, 16088, 3299, 1173, 272, 264, 8931, 825, 1948, 476, 10254, 485, 29830, 485, 418, 497, 491, 30853, 15159, 10429, 479, 18777, 372, 27381, 351, 19764, 499, 420, 370, 488, 419, 499, 490, 7511, 8147, 21251, 25263, 504, 418, 488, 505, 24731, 19764, 480, 27747, 372, 454, 825, 1820, 3488, 2745, 27331, 11468, 1911, 25818, 21251, 25263, 504, 420, 370, 488, 419, 499, 490, 421, 498, 503, 13644, 363, 3299, 299, 11468, 1911, 7481, 825, 1948, 13127, 484, 483, 419, 377, 362, 16583, 30936, 16435, 823, 4590, 825, 1820, 28361, 333, 14826, 5073, 825, 1820, 3488, 19540, 483, 419, 377, 362, 10254, 485, 29830, 485, 16583, 30936, 16088, 16435, 823, 263, 11034, 267, 17380, 267, 21163, 264, 5073, 825, 1820, 3488, 299, 314, 16435, 823, 263, 272, 267, 278, 267, 273, 13580, 281, 3299, 299, 314, 16435, 823, 263, 272, 267, 278, 267, 273, 264, 7481, 825, 1820, 3488, 299, 314, 16435, 823, 263, 14085, 267, 14085, 267, 14085, 13580, 281, 3299, 299, 314, 16435, 823, 263, 14085, 267, 14085, 267, 14085, 264, 7481, 825, 1948, 476, 12916, 379, 17958, 514, 13127, 23687, 711, 538, 17276, 352, 478, 418, 509, 354, 28578, 23989, 18809, 11858, 502, 21928, 7511, 30317, 27381, 510, 454, 825, 1820, 28361, 333, 14826, 268, 12916, 379, 17958, 514, 13127, 23687, 711, 538, 17276, 352, 478, 418, 509, 354, 28578, 23989, 18809, 11858, 502, 21928, 7511, 30317, 27381, 510, 30386, 825, 1820, 3488, 2745, 263, 276, 538, 700, 2567, 3299, 276, 538, 700, 994, 825, 1820, 3488, 2745, 263, 276, 711, 538, 700, 2567, 3299, 276, 711, 538, 700, 994, 8931, 825, 1820, 28361, 333, 14826, 268, 28578, 23989, 7511, 32517, 362, 418, 498, 373, 418, 497, 491, 30853, 16088, 5073, 825, 1820, 3488, 32517, 362, 418, 498, 373, 31176, 491, 700, 2433, 3299, 299, 994, 825, 700, 314, 273, 316, 815, 476, 1015, 454, 825, 1820, 3488, 25203, 368, 26406, 354, 420, 369, 489, 29219, 8147, 299, 314, 273, 24557, 1015, 2433, 3299, 299, 994, 825, 700, 314, 272, 281, 275, 316, 815, 1496, 1321, 267, 1724, 267, 1691, 2639, 825, 1820, 3488, 25060, 374, 418, 362, 369, 420, 369, 489, 29219, 700, 314, 272, 281, 275, 316, 815, 1496, 1321, 267, 1724, 267, 1691, 316, 2433, 3299, 299, 994, 825, 700, 314, 272, 281, 275, 316, 815, 1496, 276, 2639, 825, 1820, 3488, 16583, 493, 16533, 495, 28578, 23989, 421, 499, 379, 18021, 355, 7511, 420, 369, 489, 29219, 700, 314, 272, 281, 275, 316, 815, 1496, 276, 316, 3299, 299, 2020, 825, 1820, 28361, 333, 14826, 268, 28578, 23989, 7511, 417, 351, 508, 20693, 510, 418, 497, 491, 30853, 16088, 5073, 825, 700, 6910, 263, 6434, 994, 825, 1820, 3488, 420, 10191, 20693, 510, 30317, 27381, 510, 700, 6910, 263, 6434, 2567, 3299, 299, 994, 825, 700, 6910, 8443, 279, 269, 279, 267, 280, 269, 280, 7481, 825, 1820, 3488, 420, 10191, 20693, 510, 31878, 28578, 23989, 30317, 27381, 510, 700, 6910, 8443, 279, 269, 279, 267, 280, 269, 280, 316, 2567, 3299, 299, 994, 825, 700, 269, 2169, 754, 8443, 4200, 267, 1911, 7481, 825, 1820, 3488, 19867, 358, 31271, 499, 28578, 23989, 700, 269, 2169, 754, 263, 4200, 267, 1911, 2567, 3299, 299, 994, 825, 700, 27044, 263, 274, 267, 31229, 994, 825, 1820, 3488, 418, 493, 496, 24662, 30317, 27381, 510, 700, 27044, 263, 8161, 267, 7407, 264, 700, 27044, 263, 274, 267, 31229, 2567, 3299, 299, 994, 8931, 825, 1820, 28361, 333, 14826, 268, 28578, 23989, 7511, 10254, 510, 30522, 353, 418, 497, 491, 30853, 16088, 5073, 825, 700, 31927, 263, 31229, 994, 825, 1820, 3488, 299, 31927, 263, 7407, 264, 476, 700, 31927, 263, 31229, 2567, 3299, 299, 994, 825, 700, 21014, 263, 273, 994, 825, 1820, 3488, 299, 21014, 263, 8161, 264, 476, 561, 21014, 263, 273, 2567, 3299, 299, 994, 825, 1642, 700, 314, 276, 2639, 825, 1820, 3488, 23437, 700, 314, 276, 13912, 3299, 299, 994, 825, 1642, 700, 314, 277, 281, 2639, 825, 1820, 3488, 23437, 700, 314, 277, 281, 316, 2433, 3299, 299, 994, 825, 700, 11468, 316, 815, 32582, 3097, 825, 1820, 3488, 299, 11468, 316, 815, 32582, 610, 700, 269, 27234, 19572, 28578, 23989, 418, 372, 483, 419, 358, 374, 2433, 3299, 299, 994, 8931, 825, 1820, 28361, 333, 14826, 268, 28578, 23989, 7511, 20693, 510, 25622, 25520, 18263, 502, 25622, 418, 497, 491, 30853, 5073, 825, 700, 272, 815, 1496, 272, 267, 273, 267, 274, 2639, 825, 700, 273, 815, 1496, 275, 267, 276, 267, 277, 2639, 825, 1820, 3488, 299, 272, 815, 22207, 299, 272, 994, 825, 1820, 3488, 299, 273, 815, 22207, 299, 273, 994, 825, 1820, 3488, 299, 272, 1341, 700, 273, 815, 22207, 299, 272, 1341, 700, 273, 2020, 825, 1820, 28361, 333, 14826, 268, 28578, 23989, 7511, 20693, 510, 25622, 21251, 25263, 504, 28098, 31308, 509, 20069, 7511, 29219, 13213, 505, 27310, 32517, 362, 418, 498, 373, 5073, 825, 700, 272, 815, 700, 273, 815, 1496, 272, 267, 273, 267, 274, 2639, 825, 700, 272, 815, 700, 272, 1341, 1496, 275, 267, 276, 267, 277, 2639, 825, 1820, 3488, 299, 272, 815, 700, 273, 815, 1496, 272, 267, 273, 267, 274, 316, 5073, 825, 1820, 3488, 299, 272, 815, 700, 272, 1341, 1496, 275, 267, 276, 267, 277, 316, 5073, 825, 1820, 3488, 299, 272, 2073, 700, 273, 5236, 376, 504, 3299, 299, 272, 267, 299, 273, 264, 825, 454, 825, 1820, 3488, 299, 272, 476, 7511, 29219, 9463, 495, 13200, 509, 29072, 9463, 502, 25060, 500, 8147, 26033, 490, 700, 273, 476, 13213, 502, 15159, 31308, 509, 20069, 7511, 29219, 17210, 825, 1820, 28361, 333, 14826, 268, 9463, 480, 12255, 420, 369, 489, 29219, 13213, 494, 28997, 501, 31033, 25263, 504, 28098, 28578, 23989, 10951, 361, 420, 374, 360, 13213, 505, 27310, 32517, 362, 418, 498, 373, 5073, 825, 700, 272, 815, 700, 273, 815, 1496, 272, 267, 273, 267, 274, 2639, 825, 700, 272, 6834, 1496, 275, 267, 276, 267, 277, 2639, 825, 1820, 3488, 299, 272, 815, 700, 273, 815, 1496, 272, 267, 273, 267, 274, 316, 5073, 825, 1820, 3488, 299, 272, 6834, 1496, 275, 267, 276, 267, 277, 316, 5073, 825, 1820, 3488, 299, 272, 2073, 700, 273, 5236, 376, 504, 3299, 299, 272, 267, 299, 273, 264, 825, 454, 825, 1820, 3488, 299, 272, 13127, 23687, 700, 273, 476, 7511, 29219, 421, 25693, 9463, 495, 13200, 509, 29072, 9463, 502, 25060, 500, 17210, 825, 1820, 28361, 333, 14826, 268, 28578, 23989, 7511, 18263, 502, 25622, 5073, 825, 700, 272, 815, 1496, 272, 267, 273, 267, 274, 2639, 825, 700, 272, 815, 700, 272, 2608, 476, 274, 454, 825, 1820, 3488, 299, 272, 815, 1496, 272, 267, 273, 267, 274, 316, 6902, 299, 272, 815, 700, 272, 2608, 476, 274, 18092, 3299, 299, 272, 994, 8931, 825, 1820, 28361, 333, 14826, 268, 28578, 23989, 7511, 30006, 498, 20001, 481, 5073, 825, 1820, 3488, 314, 273, 267, 274, 267, 275, 316, 283, 314, 273, 267, 274, 267, 276, 316, 18092, 3299, 314, 273, 267, 274, 267, 275, 316, 283, 314, 273, 267, 274, 267, 276, 7481, 825, 1820, 3488, 314, 278, 267, 314, 273, 267, 277, 14963, 3436, 1496, 278, 267, 314, 273, 267, 276, 14963, 3299, 314, 278, 267, 314, 273, 267, 277, 14963, 3436, 1496, 278, 267, 314, 273, 267, 276, 316, 7481, 825, 513, 815, 536, 815, 1496, 272, 267, 273, 267, 274, 2639, 825, 524, 815, 1496, 272, 267, 273, 267, 274, 2639, 825, 1820, 3488, 320, 815, 536, 815, 1496, 272, 267, 273, 267, 274, 22049, 322, 815, 1496, 272, 267, 273, 267, 274, 13912, 5073, 825, 1820, 3488, 320, 2652, 536, 7790, 281, 3299, 320, 2652, 536, 994, 825, 1820, 3488, 320, 2652, 524, 7790, 281, 3299, 320, 2652, 524, 994, 825, 1820, 3488, 320, 568, 536, 7790, 281, 3299, 320, 568, 536, 994, 825, 1820, 3488, 320, 568, 524, 7790, 281, 3299, 320, 568, 524, 2020, 825, 1820, 28361, 333, 14826, 268, 28578, 23989, 7511, 9463, 491, 420, 377, 361, 5073, 825, 700, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 825, 700, 18622, 2091, 4590, 825, 1820, 3488, 299, 815, 22207, 299, 994, 825, 1820, 3488, 28578, 23989, 7511, 32352, 25913, 25622, 700, 18622, 2091, 3890, 815, 3436, 3299, 299, 994, 825, 700, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 825, 12055, 1807, 815, 20328, 27331, 994, 825, 1820, 3488, 19540, 483, 419, 377, 362, 16583, 30936, 263, 13213, 498, 18713, 508, 22047, 13213, 511, 28786, 417, 503, 357, 264, 476, 20328, 27331, 264, 815, 3436, 3299, 4289, 263, 3438, 1807, 11723, 825, 1820, 28361, 333, 14826, 268, 28578, 23989, 7511, 26406, 496, 31365, 30386, 825, 700, 815, 1496, 274, 267, 276, 267, 272, 267, 273, 267, 274, 267, 280, 267, 1015, 2639, 825, 700, 31699, 4590, 825, 1820, 3488, 28578, 23989, 7511, 32352, 25913, 25622, 700, 31699, 19572, 299, 31699, 263, 516, 2091, 815, 6936, 264, 22207, 299, 994, 825, 700, 815, 1496, 274, 267, 276, 267, 272, 267, 273, 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 ]
[ 12571, 495, 11590, 490, 9463, 487, 418, 509, 354, 19867, 378, 21550, 495, 18809, 418, 493, 496, 24662, 22047, 30317, 27381, 510, 8173, 1038, 952, 711, 512, 912, 2018, 512, 815, 19219, 3287, 994, 2018, 2132, 512, 454, 1038, 8640, 1535, 2652, 512, 21606, 912, 2018, 1780, 454, 1038, 8640, 1535, 2999, 512, 21606, 912, 2018, 512, 16000, 815, 1582, 27044, 13448, 6025, 16000, 267, 1535, 994, 1038, 3116, 912, 2018, 512, 16192, 815, 1582, 27044, 13448, 6025, 16192, 267, 1535, 994, 1038, 2132, 512, 692, 825, 1219, 4894, 26174, 4311, 267, 512, 2187, 1038, 5727, 476, 11590, 490, 9463, 487, 21550, 495, 18809, 418, 509, 354, 19867, 378, 31006, 27962, 7511, 30317, 27381, 510, 23946, 370, 10254, 510, 30522, 353, 8173, 1038, 952, 711, 512, 912, 2018, 2132, 8771, 454, 1038, 840, 267, 533, 815, 7183, 267, 512, 454, 1038, 1247, 533, 16192, 912, 2018, 840, 815, 533, 454, 2018, 533, 815, 533, 16192, 454, 1038, 952, 711, 840, 912, 2018, 533, 815, 533, 16000, 454, 1038, 3116, 912, 2018, 840, 16192, 815, 533, 16000, 454, 1038, 2132, 512, 692, 825, 1219, 1711, 10734, 652, 4671, 872, 4311, 267, 1970, 267, 1164, 267, 561, 2187, 1038, 5727, 17276, 490, 487, 10524, 478, 18263, 486, 25913, 19764, 493, 13200, 509, 29873, 11590, 490, 9463, 487, 418, 509, 354, 19867, 378, 21550, 495, 23946, 367, 16141, 350, 26233, 356, 31006, 417, 354, 377, 26033, 490, 4970, 498, 25913, 25622, 9463, 486, 28997, 478, 22287, 499, 8173, 1038, 952, 1970, 3436, 1164, 912, 2018, 2132, 7183, 454, 1038, 3116, 912, 2018, 4571, 815, 630, 869, 1341, 1164, 264, 12262, 476, 273, 454, 2018, 512, 815, 19219, 10857, 314, 13232, 7481, 2018, 512, 16000, 815, 1582, 269, 22056, 10734, 652, 4671, 872, 263, 869, 267, 4571, 910, 476, 272, 267, 561, 994, 2018, 512, 16192, 815, 1582, 269, 22056, 10734, 652, 4671, 872, 9852, 573, 1341, 476, 272, 267, 1164, 267, 561, 994, 2018, 2132, 512, 692, 825, 1219, 7696, 272, 4311, 267, 512, 267, 1535, 2187, 1038, 5727, 17276, 509, 354, 19867, 378, 343, 417, 28187, 31563, 20069, 10254, 503, 12248, 20693, 510, 272, 8147, 12571, 355, 10254, 503, 30853, 20992, 13161, 364, 14756, 497, 30536, 418, 493, 496, 24662, 8173, 1038, 533, 267, 840, 815, 512, 267, 7183, 454, 1038, 1247, 533, 912, 2018, 952, 533, 21606, 2652, 1535, 912, 3546, 533, 29644, 6834, 476, 272, 454, 3546, 2132, 512, 454, 2018, 3116, 912, 3546, 840, 815, 533, 454, 3546, 533, 815, 533, 16000, 952, 1535, 2999, 533, 21606, 3116, 533, 16192, 454, 1038, 521, 815, 19219, 3287, 994, 1038, 952, 711, 840, 281, 476, 1948, 13127, 28187, 31563, 14756, 493, 13213, 485, 6112, 23523, 359, 27064, 363, 10254, 503, 2181, 420, 480, 363, 27936, 21251, 20992, 419, 358, 374, 8147, 417, 28187, 31563, 2181, 20992, 419, 358, 374, 10254, 503, 28786, 23989, 419, 507, 478, 21550, 373, 14756, 497, 30536, 21251, 11858, 502, 21928, 454, 2018, 512, 815, 521, 454, 1038, 8640, 1535, 3436, 840, 21606, 912, 2018, 840, 16192, 815, 521, 454, 1038, 3116, 912, 2018, 840, 16000, 815, 521, 454, 1038, 2132, 512, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2253, 815, 3399, 3488, 5073, 825, 2022, 318, 867, 815, 1496, 1428, 267, 476, 736, 267, 476, 278, 267, 476, 277, 267, 476, 280, 267, 476, 274, 2639, 825, 538, 318, 867, 815, 1496, 1428, 267, 476, 278, 267, 476, 736, 267, 476, 274, 267, 476, 277, 267, 476, 280, 2639, 825, 512, 815, 2253, 269, 22056, 4671, 872, 318, 2181, 18425, 9638, 739, 318, 867, 267, 538, 318, 867, 2020, 825, 1948, 2253, 269, 2181, 318, 867, 6025, 2020, 825, 1948, 2253, 31428, 318, 2421, 318, 345, 580, 345, 698, 6025, 2020, 825, 1948, 554, 815, 2253, 269, 2492, 3724, 263, 271, 267, 476, 279, 267, 1496, 2412, 267, 476, 736, 267, 476, 1015, 267, 476, 1789, 267, 476, 3583, 267, 476, 2004, 267, 476, 2568, 267, 476, 3445, 267, 476, 3199, 7481, 825, 1948, 554, 815, 2253, 269, 2492, 3724, 263, 271, 267, 476, 275, 267, 1496, 2412, 267, 476, 736, 267, 476, 1015, 267, 476, 1789, 267, 476, 2004, 7481, 825, 554, 815, 2253, 269, 2492, 3724, 263, 271, 267, 476, 271, 267, 1496, 272, 20285, 825, 1948, 1820, 6357, 5476, 269, 24038, 22607, 267, 476, 1789, 4917, 825, 1948, 2253, 23357, 318, 867, 22607, 994, 825, 1948, 1820, 3488, 1366, 268, 5073, 825, 1948, 2253, 23357, 318, 867, 6357, 5476, 27044, 13448, 22607, 267, 476, 2412, 4917, 825, 1948, 512, 273, 815, 2253, 31927, 26174, 22607, 994, 825, 1948, 1820, 6025, 273, 994, 825, 1948, 2253, 23357, 318, 867, 6025, 273, 2020, 825, 1948, 512, 274, 815, 2253, 269, 22056, 10734, 652, 4671, 872, 263, 271, 267, 476, 1015, 267, 1496, 278, 267, 476, 1321, 267, 476, 1724, 267, 476, 1428, 267, 476, 2641, 267, 476, 3451, 267, 476, 4343, 267, 476, 6078, 267, 476, 5392, 267, 476, 4649, 267, 476, 6812, 7481, 825, 1948, 2253, 23357, 318, 867, 6025, 274, 2020, 825, 512, 275, 815, 2253, 27044, 272, 22607, 267, 476, 2004, 994, 825, 2253, 4732, 2133, 18425, 318, 867, 6025, 275, 994, 0, 5035, 5358, 1067, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 952, 568, 27349, 263, 720, 267, 703, 2187, 2018, 1582, 269, 720, 815, 2085, 454, 1038, 3116, 912, 2018, 6318, 1401, 4003, 3488, 720, 1590, 581, 703, 17210, 825, 1219, 6449, 18091, 9191, 1345, 267, 824, 2187, 1038, 952, 568, 27349, 263, 1278, 267, 5358, 1067, 2187, 2018, 2132, 6936, 952, 1582, 269, 720, 2652, 824, 269, 720, 3116, 8771, 454, 1038, 3116, 912, 2018, 6318, 1401, 4003, 3488, 763, 1826, 540, 1843, 1590, 581, 5358, 1067, 17210, 825, 1219, 6449, 5417, 9191, 1345, 267, 824, 2187, 1038, 952, 568, 27349, 263, 1278, 267, 5358, 1067, 2187, 2018, 2132, 1582, 269, 720, 1341, 824, 269, 720, 454, 1038, 3116, 912, 2018, 6318, 1401, 4003, 3488, 763, 1826, 540, 1843, 1590, 581, 5358, 1067, 17210, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1412, 24001, 568, 15079, 1296, 2025, 8339, 8971, 4311, 20508, 267, 1582, 269, 720, 2020, 825, 1219, 6449, 323, 597, 9191, 1345, 2187, 1038, 2132, 1582, 14857, 18743, 1029, 269, 12399, 10797, 825, 1219, 6449, 3553, 3430, 337, 9191, 1345, 267, 1883, 267, 1871, 2187, 1038, 1582, 14857, 18743, 1029, 314, 4486, 316, 815, 1871, 692, 825, 1219, 6449, 1326, 3430, 25572, 9191, 1345, 267, 6221, 2187, 1038, 2132, 2706, 263, 25284, 1067, 267, 1582, 1040, 1029, 1326, 3430, 25572, 9191, 14403, 2020, 825, 1219, 6449, 23437, 3430, 337, 9191, 1345, 267, 6221, 2187, 1038, 1780, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 533, 272, 815, 5358, 1067, 3488, 342, 836, 3299, 476, 2641, 994, 825, 533, 273, 815, 5358, 1067, 3488, 3495, 3299, 476, 1240, 994, 825, 1948, 1820, 9638, 272, 2652, 533, 273, 994, 825, 1948, 1820, 9638, 272, 1341, 533, 273, 994, 825, 1948, 1820, 9638, 272, 994, 825, 1948, 1820, 5560, 597, 9638, 272, 4917, 825, 1820, 9638, 272, 20508, 264, 0, 12163, 1326, 263, 8161, 264, 16088, 420, 492, 371, 9463, 500, 421, 497, 378, 23989, 18809, 21588, 361, 1109, 8161, 1109, 14748, 420, 488, 480, 30536, 7511, 29219, 12486, 417, 28187, 31563, 27381, 351, 19764, 499, 20721, 510, 10533, 486, 8147, 10254, 503, 13213, 498, 18713, 508, 268, 272, 25707, 5417, 4263, 23175, 263, 1998, 264, 16088, 21928, 421, 497, 378, 23989, 7511, 21588, 361, 22047, 30317, 27381, 510, 18263, 489, 31176, 491, 418, 371, 375, 20693, 510, 22047, 29219, 20992, 1109, 1998, 1109, 7511, 420, 488, 480, 30536, 12486, 418, 493, 496, 24662, 12571, 492, 8147, 13161, 364, 420, 488, 480, 30536, 16533, 484, 29873, 20992, 421, 497, 378, 23989, 7511, 21588, 361, 22047, 420, 488, 480, 30536, 25707, 5417, 4263, 307, 841, 263, 1998, 264, 16088, 16533, 484, 29219, 20992, 1109, 1998, 476, 7511, 420, 488, 480, 30536, 420, 10191, 20693, 510, 28996, 421, 497, 378, 23989, 7511, 31006, 12571, 492, 22047, 30317, 27381, 510, 25707, 5417, 4263, 19340, 263, 8161, 267, 1998, 264, 16088, 21928, 421, 497, 378, 23989, 18809, 7511, 21588, 361, 1109, 8161, 1109, 14748, 420, 488, 480, 30536, 18263, 489, 31176, 491, 418, 371, 375, 20693, 510, 29219, 20992, 1109, 1998, 1109, 476, 7511, 420, 488, 480, 30536, 25707, 417, 28187, 31563, 1109, 8161, 1109, 419, 511, 487, 30678, 421, 497, 378, 23989, 7511, 421, 499, 379, 18021, 355, 8147, 10254, 503, 13644, 354, 420, 488, 480, 30536, 16533, 484, 30522, 482, 20693, 510, 28996, 421, 497, 378, 23989, 7511, 10951, 360, 16533, 378, 12486, 417, 28187, 31563, 4994, 13127, 353, 356, 30678, 421, 497, 378, 23989, 421, 499, 379, 18021, 355, 8147, 10254, 503, 21251, 25263, 504, 418, 493, 496, 24662, 420, 488, 480, 30536, 12486, 417, 28187, 31563, 8161, 16533, 493, 30678, 271, 8147, 10254, 503, 21928, 14035, 368, 421, 481, 357, 418, 493, 496, 24662, 420, 488, 480, 30536, 25707, 1372, 8541, 4263, 19340, 263, 8161, 264, 16088, 417, 28187, 31563, 27381, 351, 19764, 499, 1109, 8161, 476, 20069, 10533, 486, 8147, 10254, 503, 10254, 510, 30522, 353, 421, 497, 378, 23989, 18809, 7511, 21588, 361, 1109, 8161, 476, 14748, 420, 488, 480, 30536, 25707, 20701, 454, 5035, 5903, 11966, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 22561, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 12785, 815, 7183, 7531, 5035, 3733, 299, 22075, 8266, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 23584, 815, 5903, 11966, 4590, 1038, 1582, 32324, 815, 476, 271, 692, 825, 1219, 1205, 4311, 267, 4994, 281, 703, 264, 9847, 703, 912, 1038, 795, 815, 476, 271, 454, 1038, 952, 4994, 3436, 1582, 32324, 268, 272, 610, 4994, 2999, 476, 271, 912, 2018, 2132, 910, 272, 454, 1038, 952, 711, 1582, 23584, 12785, 912, 2018, 2132, 910, 272, 454, 1038, 533, 815, 1582, 23584, 454, 1038, 1247, 795, 2999, 4994, 543, 533, 12785, 912, 2018, 533, 815, 533, 12785, 454, 2018, 795, 6834, 476, 272, 454, 1038, 2132, 533, 22183, 692, 825, 1219, 1039, 4263, 23175, 4311, 267, 1130, 281, 703, 264, 9847, 7183, 912, 1038, 1007, 815, 5903, 11966, 263, 1998, 994, 1038, 1007, 12785, 815, 1582, 23584, 12785, 454, 1038, 1582, 23584, 12785, 815, 1007, 692, 825, 1219, 1039, 4263, 307, 841, 4311, 267, 1130, 281, 703, 264, 9847, 7183, 912, 1038, 1007, 815, 5903, 11966, 263, 1998, 994, 1038, 952, 1582, 23584, 12785, 912, 2018, 533, 815, 1582, 23584, 454, 2018, 1247, 533, 12785, 912, 3546, 533, 815, 533, 12785, 454, 2018, 533, 12785, 815, 1007, 454, 1038, 3116, 912, 2018, 1582, 23584, 12785, 815, 1007, 454, 1038, 1582, 32324, 6834, 476, 272, 692, 825, 1219, 1039, 4263, 19340, 4311, 267, 4994, 281, 703, 267, 1130, 281, 703, 264, 9847, 7183, 912, 1038, 1780, 692, 825, 1219, 18419, 4263, 19340, 4311, 267, 4994, 281, 703, 264, 9847, 7183, 912, 1038, 1780, 692, 258, 2659, 3733, 299, 22075, 8266, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 258, 1073, 329, 815, 3733, 299, 22075, 8266, 4590, 258, 4164, 318, 272, 815, 1073, 329, 10947, 263, 8161, 994, 258, 1073, 329, 14491, 4263, 23175, 263, 1998, 994, 258, 1073, 329, 14491, 4263, 307, 841, 263, 1998, 994, 258, 1073, 329, 14491, 4263, 19340, 263, 8161, 267, 1998, 994, 258, 1073, 329, 19709, 8541, 4263, 19340, 263, 8161, 9239, 258, 1362, 5903, 11966, 273, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1871, 22561, 2187, 258, 1363, 1582, 27841, 815, 1871, 454, 258, 1363, 1582, 12785, 815, 7183, 454, 16482, 16482, 258, 1362, 3733, 299, 22075, 8266, 273, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1363, 1582, 23584, 815, 5903, 11966, 273, 4590, 258, 1363, 1582, 32324, 815, 476, 271, 454, 16482, 258, 672, 1219, 1039, 4311, 267, 1871, 2187, 258, 1363, 1007, 815, 5903, 11966, 273, 263, 7407, 994, 258, 1363, 952, 1582, 23584, 912, 258, 17264, 533, 815, 1582, 23584, 454, 258, 17264, 1247, 533, 12785, 912, 258, 4449, 533, 815, 533, 12785, 454, 258, 17264, 533, 12785, 815, 1007, 454, 258, 1363, 3116, 912, 258, 17264, 1582, 23584, 12785, 815, 1007, 454, 258, 1363, 1582, 32324, 6834, 476, 272, 454, 16482, 16482, 258, 1592, 273, 815, 3733, 299, 22075, 8266, 273, 4590, 258, 1820, 17338, 273, 32324, 994, 16482, 258, 1592, 273 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 21795, 607, 19073, 692, 258, 1230, 13906, 523, 30685, 454, 320, 815, 19073, 6185, 1092, 20988, 20719, 262, 19617, 3266, 9166, 1496, 2568, 267, 476, 1789, 16689, 4449, 476, 1412, 27154, 9166, 18358, 303, 7701, 3299, 1412, 8867, 517, 11172, 348, 2020, 321, 815, 19073, 6185, 1092, 20988, 20719, 262, 303, 525, 334, 9166, 1496, 7785, 267, 476, 6344, 16689, 4449, 476, 1412, 15031, 553, 9166, 1496, 275, 267, 476, 275, 316, 348, 2020, 258, 1230, 13906, 523, 541, 679, 2083, 553, 454, 322, 815, 19073, 26769, 13906, 8443, 320, 267, 536, 3910, 7852, 284, 271, 264, 476, 1948, 1230, 13906, 523, 541, 679, 1714, 552, 16660, 632, 15255, 2083, 553, 454, 2745, 6262, 994, 258, 22695, 528, 541, 967, 823, 454, 322, 815, 19073, 26769, 13906, 8443, 320, 267, 536, 3910, 7852, 284, 271, 267, 11716, 16229, 18989, 994, 2745, 6262, 994, 258, 1230, 13906, 523, 30685, 679, 6241, 553, 454, 322, 815, 19073, 26769, 13906, 8443, 320, 267, 536, 3910, 7852, 284, 272, 994, 2745, 6262, 2020, 258, 631, 1120, 532, 454, 320, 815, 19073, 6185, 1092, 20988, 20719, 262, 290, 328, 644, 611, 9166, 18358, 306, 21468, 6210, 3299, 1412, 17442, 694, 1066, 320, 3299, 1412, 307, 655, 1075, 334, 11172, 2676, 4449, 476, 1412, 309, 1304, 334, 918, 300, 9166, 1496, 1789, 267, 476, 2568, 267, 476, 736, 316, 348, 2020, 321, 815, 19073, 6185, 1092, 20988, 20719, 262, 290, 328, 644, 611, 9166, 18358, 306, 21468, 6210, 3299, 1412, 17442, 694, 1066, 320, 3299, 1412, 307, 655, 1075, 334, 11172, 2676, 4449, 476, 1412, 24109, 539, 611, 9166, 1496, 2568, 267, 476, 736, 267, 476, 1789, 16689, 4449, 476, 1412, 291, 790, 764, 542, 966, 1304, 334, 9166, 18358, 292, 3299, 1412, 306, 3299, 1412, 302, 11172, 348, 2020, 322, 815, 19073, 269, 1067, 613, 5416, 267, 536, 267, 593, 8782, 290, 328, 644, 611, 17210, 322, 815, 19073, 26769, 13906, 8443, 320, 267, 536, 3910, 7852, 284, 272, 267, 6443, 8782, 27903, 5073, 0, 258, 7383, 32115, 715, 17056, 454, 5814, 11885, 454, 5228, 942, 527, 1104, 942, 527, 476, 1948, 13139, 21059, 16948, 554, 27468, 533, 4902, 21353, 632, 14906, 574, 1304, 334, 454, 5814, 11885, 607, 5286, 454, 258, 11511, 541, 19448, 5044, 632, 11885, 454, 31596, 15126, 8443, 272, 267, 476, 273, 267, 476, 274, 8079, 476, 1948, 5044, 8443, 272, 267, 476, 273, 267, 476, 274, 20285, 258, 11087, 764, 542, 632, 3288, 1104, 30685, 454, 258, 7412, 320, 281, 476, 275, 454, 12639, 15126, 8443, 272, 267, 476, 273, 267, 476, 274, 8079, 476, 1948, 5044, 8443, 272, 267, 476, 273, 267, 476, 274, 20285, 258, 26275, 632, 715, 17056, 1323, 573, 3385, 454, 321, 815, 5286, 15126, 31912, 272, 267, 476, 273, 267, 476, 274, 3910, 1496, 272, 267, 476, 273, 267, 476, 274, 316, 8079, 476, 1948, 4223, 10961, 454, 258, 5044, 31912, 272, 267, 476, 273, 267, 476, 274, 16689, 258, 1038, 1496, 272, 267, 476, 273, 267, 476, 274, 14963, 2020, 258, 4813, 320, 632, 3288, 1319, 10961, 454, 2745, 6357, 17482, 994, 258, 630, 273, 267, 476, 274, 264, 476, 273, 8606, 553, 586, 476, 274, 28758, 553, 692, 258, 13096, 657, 13067, 10942, 657, 630, 22013, 25314, 334, 9133, 334, 632, 3611, 334, 454, 2745, 6357, 6155, 6943, 264, 476, 1948, 703, 5038, 692, 258, 6613, 3266, 632, 10155, 525, 454, 2745, 6357, 269, 526, 574, 264, 476, 1948, 476, 273, 692, 258, 17785, 334, 632, 3611, 334, 715, 17056, 26275, 454, 2745, 263, 6943, 6357, 4297, 476, 1948, 2999, 5035, 1412, 31596, 269, 526, 6783, 262, 285, 692, 258, 681, 24546, 632, 11885, 454, 2745, 18828, 30784, 1052, 263, 1015, 4297, 476, 1948, 1496, 271, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 6540, 258, 623, 4902, 9346, 632, 14906, 574, 1304, 334, 454, 258, 5124, 454, 333, 815, 476, 1911, 876, 454, 5503, 303, 815, 942, 527, 10857, 10033, 281, 1496, 328, 2878, 476, 274, 585, 1775, 538, 2039, 3799, 264, 3910, 1297, 284, 1911, 876, 2020, 258, 715, 17056, 454, 333, 318, 9792, 815, 5286, 30784, 1052, 3799, 994, 5503, 301, 815, 942, 527, 10857, 10033, 281, 562, 318, 9792, 1262, 274, 267, 1297, 284, 1911, 876, 2020, 2745, 6600, 31415, 328, 11391, 334, 6446, 682, 9723, 6759, 513, 5124, 281, 2715, 5503, 303, 348, 5302, 1495, 657, 5073, 2745, 6600, 31415, 328, 11391, 334, 6446, 682, 9723, 6759, 513, 715, 17056, 281, 2715, 5503, 301, 348, 5302, 1495, 657, 17210, 258, 23621, 11391, 334, 6446, 682, 9723, 6759, 513, 5124, 281, 476, 2537, 269, 4375, 278, 4817, 278, 22001, 4200, 276, 10019, 26444, 258, 5302, 1495, 657, 679, 554, 27468, 476, 1911, 876, 12055, 30685, 525, 692, 258, 23621, 11391, 334, 6446, 682, 9723, 6759, 513, 715, 17056, 281, 476, 271, 269, 5002, 4817, 275, 7785, 15886, 27886, 2641, 26444, 258, 5302, 1495, 657, 679, 554, 27468, 476, 1911, 876, 12055, 30685, 525, 454, 0, 258, 1323, 2561, 547, 5173, 519, 2040, 540, 1079, 2338, 454, 258, 23095, 676, 717, 3271, 807, 7442, 565, 582, 7531, 258, 901, 3758, 568, 4092, 538, 713, 15682, 454, 258, 595, 24097, 5825, 619, 315, 25721, 565, 582, 315, 7312, 2319, 29100, 7901, 315, 294, 3271, 807, 7442, 565, 582, 315, 294, 3271, 807, 315, 7343, 338, 285, 692, 258, 3689, 1104, 513, 10189, 630, 534, 1039, 6823, 264, 1572, 6908, 26569, 454, 5228, 6908, 26569, 1104, 2140, 454, 5228, 6908, 26569, 1104, 1016, 3650, 518, 454, 5228, 6908, 26569, 1104, 2328, 454, 5228, 6908, 26569, 1104, 1793, 3187, 692, 258, 3973, 946, 6908, 26569, 547, 1711, 513, 2140, 540, 519, 2561, 454, 27583, 2891, 294, 3271, 807, 7442, 565, 582, 3689, 2561, 15419, 258, 3973, 946, 6908, 26569, 547, 1039, 513, 1016, 2140, 454, 11357, 3650, 518, 2891, 11764, 2719, 1079, 2338, 15419, 258, 3973, 946, 6908, 26569, 547, 2328, 938, 4305, 585, 713, 2561, 454, 31095, 2891, 1607, 568, 1250, 1101, 813, 269, 594, 993, 2469, 547, 1039, 1079, 2338, 269, 1990, 815, 1535, 1341, 586, 15419, 258, 3973, 267, 1039, 1079, 2338, 543, 2328, 519, 2626, 547, 513, 23649, 3957, 1535, 454, 258, 476, 1911, 1341, 476, 6344, 3097, 14588, 539, 815, 1793, 3187, 3488, 15675, 3432, 3299, 476, 271, 267, 476, 1911, 267, 476, 3199, 267, 476, 1015, 994, 5503, 815, 1793, 3187, 3488, 15675, 942, 3299, 476, 271, 267, 476, 2190, 267, 476, 279, 267, 476, 273, 994, 323, 2700, 815, 3432, 2608, 942, 692, 258, 3973, 946, 6908, 26569, 547, 1711, 513, 3593, 8818, 630, 21397, 264, 602, 10525, 519, 2626, 454, 31095, 4433, 32497, 994, 31095, 263, 5503, 994, 31095, 5560, 2700, 264, 0, 5814, 20956, 273, 454, 5814, 11885, 607, 5286, 692, 258, 7335, 519, 12005, 454, 13548, 815, 20956, 273, 269, 574, 1348, 2891, 272, 12282, 22333, 5602, 258, 15531, 519, 3798, 2471, 540, 12005, 454, 326, 2001, 815, 20956, 273, 6983, 26404, 21760, 263, 13548, 267, 20956, 273, 269, 4596, 299, 3036, 29758, 16165, 273, 294, 6938, 312, 994, 326, 2001, 815, 20956, 273, 269, 4364, 1014, 7922, 584, 14116, 2001, 267, 476, 278, 994, 539, 2471, 815, 20956, 273, 269, 611, 28922, 1320, 11611, 14116, 2001, 267, 476, 14838, 267, 20956, 273, 269, 4696, 4338, 20937, 318, 8025, 305, 2464, 295, 318, 10933, 3198, 318, 290, 267, 20956, 273, 269, 8025, 305, 2464, 295, 29758, 2562, 14473, 267, 476, 280, 267, 476, 1015, 994, 258, 10435, 513, 14295, 3019, 540, 519, 3239, 454, 10233, 815, 20956, 273, 12500, 10561, 23742, 614, 263, 13548, 267, 476, 1321, 267, 476, 7742, 267, 476, 7742, 994, 322, 691, 3019, 815, 20956, 273, 269, 4226, 3772, 318, 663, 263, 10233, 267, 2681, 267, 9633, 284, 539, 2471, 994, 258, 24058, 1125, 519, 20419, 3239, 454, 29764, 273, 269, 574, 19651, 2891, 290, 691, 3019, 2580, 20419, 994, 29764, 273, 9884, 7159, 7659, 263, 271, 264, 1948, 834, 271, 257, 568, 13242, 547, 2673, 519, 3239, 6885, 454, 29764, 273, 6155, 652, 5797, 5472, 20360, 3298, 10797, 258, 935, 3200, 547, 12457, 4336, 454, 326, 2001, 15862, 815, 20956, 273, 6983, 26404, 21760, 263, 13548, 267, 20956, 273, 269, 4596, 299, 3036, 29758, 16165, 273, 294, 6938, 312, 994, 258, 1952, 569, 32364, 11701, 20747, 454, 326, 2001, 15862, 815, 20956, 273, 14371, 320, 11701, 7922, 584, 14116, 2001, 15862, 267, 630, 274, 267, 476, 274, 1070, 476, 271, 994, 258, 323, 25018, 8728, 454, 8354, 15862, 815, 20956, 273, 11482, 320, 680, 659, 1014, 14116, 2001, 15862, 267, 910, 272, 267, 737, 21653, 284, 276, 994, 8354, 15862, 815, 476, 14838, 910, 6316, 15862, 454, 258, 628, 11611, 3239, 454, 4958, 267, 6316, 15862, 815, 20956, 273, 269, 628, 11611, 263, 8354, 15862, 267, 476, 5611, 267, 476, 14838, 267, 20956, 273, 269, 8025, 305, 2464, 295, 29758, 2562, 14473, 994, 258, 4565, 584, 2592, 8185, 1210, 6316, 15430, 6326, 23742, 614, 454, 8354, 15430, 6326, 15862, 815, 20956, 273, 269, 8354, 15430, 6326, 23742, 614, 263, 13548, 267, 17514, 284, 273, 267, 29178, 5334, 284, 2004, 267, 29178, 24417, 284, 271, 269, 275, 994, 258, 22056, 3977, 5119, 454, 16059, 815, 12639, 25910, 14116, 2001, 15862, 17482, 994, 258, 18474, 710, 20419, 3239, 543, 8728, 3239, 454, 16059, 815, 20956, 273, 269, 4226, 3772, 318, 663, 263, 8354, 15430, 6326, 15862, 267, 6316, 15430, 6326, 15862, 267, 9633, 284, 8354, 15862, 994, 258, 24058, 1125, 519, 20419, 3239, 454, 29764, 273, 269, 574, 19651, 2891, 290, 691, 3019, 2580, 3977, 994, 29764, 273, 9884, 7159, 7659, 263, 271, 264, 1948, 834, 271, 257, 568, 13242, 547, 2673, 519, 3239, 6885, 454, 29764, 273, 6155, 652, 5797, 5472, 20360, 3298, 10797, 322, 691, 3019, 318, 13548, 815, 20956, 273, 14714, 2643, 1436, 263, 13548, 267, 29178, 5334, 284, 5611, 267, 29178, 24417, 284, 271, 269, 1839, 994, 29764, 273, 269, 574, 19651, 3488, 322, 691, 3019, 3299, 20419, 318, 13548, 994, 29764, 273, 9884, 7159, 7659, 263, 271, 994, 29764, 273, 6155, 652, 5797, 5472, 20360, 3298, 4590, 322, 691, 3019, 318, 13548, 272, 267, 20419, 318, 13548, 273, 476, 815, 20956, 273, 4877, 523, 4290, 306, 8208, 577, 263, 13548, 267, 29178, 5334, 284, 2568, 267, 29178, 24417, 284, 271, 269, 276, 267, 12094, 318, 26476, 284, 271, 269, 6349, 994, 29764, 273, 269, 574, 19651, 3488, 5155, 4290, 3299, 20419, 318, 13548, 272, 994, 29764, 273, 9884, 7159, 7659, 4590, 29764, 273, 6155, 652, 5797, 5472, 20360, 3298, 4590, 29764, 273, 269, 574, 19651, 3488, 5155, 4290, 3299, 20419, 318, 13548, 273, 994, 29764, 273, 9884, 7159, 7659, 4590, 29764, 273, 6155, 652, 5797, 5472, 20360, 3298, 3890, 0, 18257, 11711, 281, 554, 342, 275, 318, 4820, 274, 18258, 3097, 825, 8191, 281, 4787, 6614, 2107, 339, 714, 3097, 825, 11261, 281, 476, 1015, 270, 4962, 270, 1001, 277, 3097, 825, 8791, 281, 476, 2918, 3097, 825, 661, 17733, 281, 4990, 714, 272, 287, 3518, 322, 12975, 3097, 825, 13517, 281, 901, 1982, 1138, 12885, 519, 3350, 540, 513, 30339, 7723, 538, 513, 7088, 563, 825, 21664, 281, 21664, 568, 711, 15868, 593, 713, 7084, 563, 18411, 3698, 1292, 10031, 825, 4463, 815, 703, 9272, 2891, 8923, 4283, 606, 8870, 4358, 4463, 585, 519, 6149, 1701, 4917, 825, 1820, 2891, 763, 30339, 3323, 693, 4463, 834, 1341, 1193, 263, 19417, 4917, 825, 1247, 4463, 11203, 476, 272, 912, 1038, 952, 4463, 4939, 476, 273, 2652, 476, 271, 912, 2018, 4463, 815, 4463, 12262, 476, 273, 454, 2018, 1820, 2891, 763, 1699, 4463, 540, 519, 30339, 568, 834, 1341, 1193, 263, 19417, 4917, 1038, 8640, 4463, 4939, 476, 273, 2652, 476, 272, 912, 2018, 4463, 815, 4463, 2608, 476, 274, 1341, 476, 272, 454, 2018, 1820, 2891, 763, 1699, 4463, 540, 519, 30339, 568, 834, 1341, 1193, 263, 19417, 4917, 825, 1820, 2891, 763, 30339, 11074, 693, 4463, 476, 272, 23528, 10852, 4590, 0, 454, 3698, 1292, 10031, 825, 8700, 815, 703, 9272, 2891, 8923, 4283, 519, 8700, 540, 519, 4216, 281, 27328, 825, 4463, 815, 703, 9272, 2891, 8923, 4283, 519, 4463, 540, 519, 4216, 281, 27328, 825, 7291, 15228, 2513, 815, 3403, 2891, 8923, 4283, 513, 3090, 585, 519, 4216, 7291, 281, 19515, 825, 6445, 15228, 2513, 815, 3403, 2891, 8923, 4283, 513, 3090, 585, 519, 4216, 6445, 281, 834, 2020, 825, 952, 8700, 10922, 476, 272, 610, 4463 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5007, 1604, 1477, 825, 32197, 284, 6358, 3488, 11767, 513, 3758, 2012, 281, 1412, 3418, 825, 1948, 7335, 519, 9115, 540, 519, 3758, 1477, 825, 1102, 850, 284, 13449, 6600, 32327, 267, 17683, 8782, 31983, 275, 4391, 20298, 825, 1239, 284, 8882, 850, 18667, 14052, 825, 1948, 7335, 782, 2609, 538, 547, 513, 1592, 689, 519, 3758, 21506, 825, 5569, 318, 10420, 17342, 15947, 825, 585, 1775, 538, 1239, 6769, 1038, 5569, 318, 10420, 6910, 9217, 3418, 825, 1592, 323, 16244, 284, 11415, 318, 10420, 1477, 825, 1948, 31203, 540, 519, 9184, 5624, 689, 1592, 1412, 315, 333, 262, 1477, 825, 1592, 323, 16244, 272, 17342, 15947, 825, 585, 1775, 538, 2039, 630, 6352, 17338, 323, 16244, 264, 8029, 1038, 952, 1592, 323, 16244, 5157, 316, 256, 8782, 315, 333, 262, 6769, 2018, 1592, 323, 16244, 272, 6910, 17338, 323, 16244, 5157, 29573, 1038, 8640, 1592, 323, 16244, 5157, 316, 2525, 262, 315, 333, 262, 6769, 2018, 1592, 323, 16244, 272, 6910, 3488, 1412, 3418, 825, 1592, 273, 284, 4289, 323, 16244, 272, 1477, 825, 1948, 31203, 540, 2027, 3197, 543, 2870, 513, 2973, 2838, 1915, 1592, 1363, 1477, 825, 2973, 23952, 284, 5257, 1477, 825, 585, 1775, 538, 2039, 630, 6352, 17338, 273, 264, 8029, 1038, 952, 1592, 273, 5157, 316, 514, 1592, 272, 6769, 2018, 2973, 23952, 23785, 4289, 273, 5157, 15947, 825, 9268, 23952, 284, 30236, 23952, 1477, 825, 5220, 284, 12248, 5334, 550, 1878, 263, 15263, 539, 23952, 3418, 825, 8400, 19056, 5334, 27542, 6910, 4433, 550, 1878, 3418, 825, 1913, 284, 12248, 318, 6919, 263, 15263, 539, 23952, 3418, 825, 8400, 19056, 29999, 6910, 263, 6919, 3418, 825, 24424, 284, 12248, 318, 306, 22690, 1963, 263, 15263, 539, 23952, 3418, 825, 8400, 19056, 318, 1910, 961, 762, 6910, 263, 1910, 961, 1963, 3418, 825, 575, 284, 325, 956, 577, 16229, 630, 1910, 961, 1963, 267, 6919, 29679, 550, 1878, 3418, 825, 8400, 19056, 8217, 6910, 14116, 3418, 825, 1820, 18011, 293, 956, 577, 12039, 281, 1412, 266, 1598, 14116, 17903, 825, 1820, 18011, 10831, 540, 29941, 281, 1412, 266, 1598, 4433, 550, 1878, 17903, 825, 1820, 18011, 10831, 540, 9293, 281, 1412, 266, 1598, 263, 6919, 17903, 825, 1820, 18011, 10831, 540, 28924, 1963, 281, 1412, 266, 1598, 263, 1910, 961, 1963, 17903, 825, 3593, 318, 18782, 284, 1598, 9272, 3488, 572, 937, 281, 513, 264, 3367, 536, 264, 2372, 527, 24097, 339, 10807, 1040, 12294, 31476, 2745, 4433, 11970, 19056, 8217, 3418, 7120, 284, 7120, 1154, 4433, 11970, 19056, 8217, 3418, 258, 7120, 272, 284, 7120, 1154, 273, 4433, 11970, 19056, 5334, 27542, 267, 8400, 19056, 29999, 267, 8400, 19056, 318, 1910, 961, 762, 3418, 258, 7120, 272, 284, 7120, 1154, 274, 4433, 11970, 19056, 5334, 27542, 267, 8400, 19056, 29999, 267, 8400, 19056, 318, 1910, 961, 762, 3418, 5897, 5897, 5897, 0, 12163, 321, 2435, 815, 476, 273, 692, 6112, 2040, 17301, 3287, 264, 585, 1535, 538, 1193, 6357, 2435, 4297, 3436, 7003, 19304, 6357, 2435, 4297, 268, 273, 912, 825, 9352, 815, 3403, 2891, 11767, 1152, 476, 272, 781, 543, 476, 271, 781, 630, 6200, 1556, 264, 19515, 20657, 815, 476, 271, 454, 1721, 524, 538, 2039, 12759, 6357, 2435, 15892, 825, 1232, 6834, 703, 19304, 6357, 2435, 314, 322, 316, 4297, 16732, 273, 1262, 322, 994, 2745, 2891, 13356, 2711, 1297, 568, 4939, 337, 257, 4939, 1232, 994, 20701, 321, 2435, 815, 476, 273, 692, 6112, 2040, 17301, 3287, 264, 585, 1535, 538, 1193, 6357, 2435, 4297, 3436, 7003, 19304, 6357, 2435, 4297, 268, 273, 912, 825, 9352, 815, 3403, 2891, 11767, 1152, 476, 272, 781, 543, 476, 271, 781, 630, 6200, 1556, 264, 19515, 20657, 815, 476, 271, 454, 1721, 524, 538, 2039, 12759, 6357, 2435, 15892, 825, 1232, 6834, 703, 19304, 6357, 2435, 314, 322, 316, 4297, 16732, 273, 1262, 263, 6352, 6357, 2435, 264, 910, 476, 272, 910, 524, 4917, 2745, 2891, 13356, 2711, 1297, 568, 4939, 337, 257, 4939, 1232, 994, 0, 12163, 300, 8379, 292, 2010, 616, 1031, 538, 3875, 4950, 10873, 547, 12314, 513, 2923, 1826, 630, 6255, 6447, 267, 3239, 267, 3381, 3267, 994, 5976, 519, 1543, 2366, 269, 634, 631, 8379, 292, 1826, 568, 3622, 18505, 1042, 689, 519, 10137, 540, 519, 3758, 547, 581, 2366, 780, 1607, 1982, 476, 2306, 621, 2009, 547, 3713, 519, 631, 8379, 292, 1826, 540, 513, 3758, 1759, 593, 922, 2012, 563, 20701, 332, 1307, 815, 15079, 476, 1948, 2637, 4733, 19474, 3349, 692, 333, 815, 703, 9272, 28829, 476, 1948, 9980, 1845, 2179, 454, 336, 815, 703, 9272, 28829, 476, 1948, 4578, 2179, 692, 1721, 1775, 538, 2039, 3799, 2187, 825, 544, 830, 815, 3403, 14061, 20889, 4590, 825, 544, 1307, 314, 332, 830, 314, 271, 4940, 12294, 3890, 316, 815, 544, 830, 314, 272, 316, 476, 1948, 25849, 3403, 1239, 883, 9598, 282, 8865, 6213, 692, 1721, 795, 538, 2039, 32429, 2187, 825, 535, 4067, 815, 3403, 14061, 20889, 2891, 1701, 264, 476, 1948, 590, 5902, 609, 1974, 267, 1592, 454, 825, 952, 7003, 6600, 4067, 264, 11203, 476, 272, 281, 476, 1948, 14419, 3259, 540, 3758, 2012, 1592, 454, 1038, 1820, 9852, 1307, 10947, 6600, 4067, 15631, 272, 4940, 12294, 19572, 834, 7419, 298, 301, 32052, 257, 4297, 476, 1948, 8865, 6213, 454, 825, 3116, 912, 1038, 1820, 2891, 7419, 298, 301, 32052, 5602, 0, 12163, 1607, 1982, 12683, 3278, 519, 10902, 9411, 1862, 528, 693, 2547, 8942, 547, 563, 20701, 11133, 1499, 815, 2715, 272, 281, 834, 3080, 14307, 476, 273, 281, 834, 10521, 14307, 476, 274, 281, 834, 16248, 14307, 476, 275, 281, 834, 19177, 14307, 476, 276, 281, 834, 26668, 14307, 476, 277, 281, 834, 306, 1460, 14307, 476, 278, 281, 834, 572, 1597, 14307, 476, 279, 281, 834, 324, 697, 14307, 476, 280, 281, 834, 333, 710, 14307, 476, 1015, 281, 834, 1084, 834, 348, 476, 1948, 7956, 4528, 540, 2338, 454, 1410, 8526, 815, 2715, 257, 2006, 9899, 834, 5443, 2580, 834, 8127, 9899, 834, 8127, 2580, 834, 549, 1993, 9899, 834, 549, 1993, 338, 2580, 834, 325, 1371, 9899, 834, 325, 1539, 2580, 834, 18876, 9899, 834, 18244, 2580, 834, 17367, 9899, 834, 15161, 257, 348, 476, 1948, 700, 1235, 856, 1455, 17756, 692, 29825, 815, 3403, 2891, 11767, 513, 10902, 256, 19515, 11133, 815, 703, 9272, 2891, 1692, 1082, 286, 834, 11723, 604, 476, 272, 2999, 1003, 10922, 476, 1015, 912, 825, 952, 10902, 538, 17756, 912, 1038, 1820, 3799, 13246, 314, 11133, 316, 1341, 17756, 19559, 1735, 7481, 1038, 14827, 4590, 825, 8640, 10902, 15631, 272, 281, 316, 2652, 834, 320, 257, 610, 10902, 15631, 272, 281, 316, 2652, 834, 328, 257, 610, 10902, 15631, 272, 281, 316, 2652, 834, 334, 257, 610, 10902, 15631, 272, 281, 316, 2652, 834, 340, 257, 610, 10902, 15631, 272, 281, 316, 2652, 834, 338, 257, 610, 10902, 15631, 272, 281, 316, 2652, 834, 343, 257, 610, 10902, 15631, 272, 281, 316, 2652, 834, 345, 257, 610, 10902, 15631, 272, 281, 316, 2652, 834, 577, 257, 610, 10902, 15631, 272, 281, 316, 2652, 834, 3333, 13426, 1038, 10902, 6834, 834, 525, 4840, 825, 8640, 10902, 15631, 272, 281, 316, 2652, 834, 325, 13426, 1038, 10902, 815, 10902, 18622, 2897, 2891, 325, 2580, 834, 1407, 5602, 825, 8640, 834, 5622, 257, 538, 10902, 912, 1038, 10902, 815, 10902, 18622, 2897, 2891, 5622, 2580, 834, 2465, 5602, 825, 8640, 10902, 15631, 272, 281, 316, 2652, 834, 344, 13426, 1038, 10902, 815, 10902, 18622, 2897, 2891, 344, 2580, 834, 625, 5602, 825, 3116, 912, 1038, 10902, 6834, 834, 338, 5016, 2745, 3799, 13246, 314, 11133, 316, 1341, 10902, 994, 0, 5814, 19523, 692, 2745, 2891, 763, 7440, 5293, 941, 281, 19515, 2745, 630, 338, 903, 27769, 341, 2020, 320, 815, 10581, 4433, 903, 27769, 341, 314, 272, 8079, 1948, 2034, 4661, 454, 321, 815, 10581, 4433, 903, 27769, 341, 314, 273, 8079, 1948, 2034, 4661, 692, 2745, 2891, 763, 3328, 568, 19515, 2745, 9230, 320, 1341, 536, 264, 1315, 476, 273, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 7742, 267, 476, 12573, 543, 476, 4335, 2453, 269, 634, 3594, 6035, 616, 538, 3551, 543, 2653, 1893, 585, 519, 19920, 267, 2852, 1053, 543, 3214, 547, 917, 543, 3986, 741, 1603, 6791, 563, 30538, 32257, 19413, 4828, 476, 5611, 1912, 29320, 454, 30538, 32257, 19413, 729, 835, 540, 1082, 8799, 5191, 25881, 540, 3127, 269, 19413, 808, 328, 729, 4535, 593, 476, 273, 5239, 476, 5908, 280, 269, 634, 2698, 2140, 540, 8575, 32257, 19413, 568, 15011, 663, 553, 10127, 600, 577, 663, 19413, 269, 634, 2140, 540, 519, 546, 23098, 540, 19413, 808, 328, 729, 10127, 600, 577, 663, 19413, 543, 1010, 31908, 2140, 729, 16381, 889, 2967, 563, 3891, 729, 9310, 547, 513, 4807, 3957, 918, 770, 7875, 2967, 25120, 7315, 10202, 950, 646, 729, 3274, 476, 1724, 1296, 22573, 269, 19413, 808, 328, 729, 4535, 538, 28769, 7171, 541, 267, 30899, 520, 269, 1261, 729, 835, 540, 1082, 7887, 5191, 25881, 540, 3127, 269, 9603, 547, 1864, 543, 7899, 540, 1114, 5191, 25881, 267, 3127, 9715, 1863, 540, 519, 3703, 7810, 8128, 563, 30538, 32257, 19413, 6594, 18489, 3175, 1310, 12200, 689, 25512, 599, 543, 1705, 1010, 30134, 618, 538, 519, 5823, 540, 7939, 543, 1931, 689, 519, 2160, 540, 5507, 538, 476, 6245, 272, 269, 31598, 519, 1034, 1134, 8153, 840, 1061, 540, 19413, 729, 547, 588, 2651, 593, 519, 840, 1061, 540, 1875, 8686, 2723, 775, 563, 3891, 5697, 519, 13009, 799, 568, 9157, 547, 3460, 538, 1931, 547, 1205, 3540, 2924, 269, 1261, 6039, 585, 3127, 2394, 519, 1554, 646, 5747, 269, 1261, 729, 606, 15813, 8783, 543, 646, 779, 20866, 15422, 676, 16764, 563, 30538, 32257, 19413, 4828, 476, 7742, 1912, 29320, 454, 30538, 32257, 19413, 610, 15011, 663, 553, 10127, 600, 577, 663, 19413, 729, 513, 2731, 15626, 812, 269, 1261, 729, 606, 15813, 2797, 8783, 543, 513, 5191, 25142, 945, 10692, 2394, 27757, 538, 1931, 547, 1863, 3127, 689, 519, 4341, 540, 519, 3703, 8191, 885, 269, 1261, 729, 4535, 593, 476, 273, 5239, 476, 5908, 280, 538, 28769, 7171, 541, 267, 30899, 520, 563, 3891, 729, 6659, 538, 513, 9699, 7622, 269, 3571, 4332, 11845, 267, 476, 273, 526, 5239, 568, 3144, 883, 2272, 607, 513, 13780, 4204, 28820, 566, 585, 519, 2347, 13780, 269, 23205, 802, 2628, 24744, 547, 19413, 538, 1082, 4244, 2409, 593, 693, 519, 1459, 942, 543, 723, 1187, 693, 519, 1459, 942, 609, 8799, 12257, 543, 9547, 269, 634, 4408, 540, 19413, 779, 19033, 543, 3158, 616, 1744, 14389, 541, 600, 577, 663, 19413, 543, 16381, 889, 2967, 563, 14367, 4651, 729, 519, 12751, 10579, 540, 28769, 7171, 541, 269, 8575, 32257, 19413, 729, 9310, 547, 513, 4807, 3957, 918, 770, 7875, 2967, 25120, 7315, 10202, 950, 646, 729, 476, 1724, 1296, 22573, 543, 1185, 476, 275, 14930, 2059, 609, 1200, 269, 1261, 6594, 7939, 593, 519, 2160, 540, 25512, 599, 269, 1261, 12913, 1010, 30134, 618, 689, 519, 2160, 540, 5507, 538, 476, 6245, 272, 563, 30538, 32257, 19413, 729, 606, 15813, 2797, 8783, 267, 1514, 19191, 267, 5191, 25142, 267, 2278, 543, 606, 4095, 15818, 269, 1261, 21947, 7130, 543, 8635, 1082, 14026, 538, 1010, 1272, 543, 7691, 930, 5049, 689, 621, 269, 2290, 538, 1169, 540, 1010, 1034, 1898, 5049, 540, 1272, 729, 547, 588, 2651, 593, 519, 13009, 540, 1875, 8686, 2723, 775, 543, 2893, 344, 27558, 3873, 563, 3891, 729, 606, 1367, 609, 8799, 6568, 269, 19413, 5280, 519, 2043, 4299, 676, 682, 2889, 1910, 543, 3006, 5795, 24181, 547, 519, 796, 6202, 2043, 269, 1261, 5280, 519, 2043, 540, 18807, 5641, 525, 676, 18071, 873, 2463, 543, 5885, 873, 593, 1082, 2621, 269, 8575, 32257, 19413, 729, 513, 2731, 18803, 543, 1134, 812, 333, 1229, 812, 269, 1261, 1185, 1010, 13794, 16382, 646, 4682, 269, 901, 812, 15336, 2476, 689, 3047, 593, 5130, 476, 1789, 538, 519, 476, 1321, 3275, 476, 3707, 279, 563, 9596, 3958, 281, 24225, 593, 8575, 32257, 19413, 538, 2296, 454, 13625, 593, 8575, 32257, 19413, 476, 12573, 1912, 29320, 454, 300, 2129, 663, 553, 10127, 600, 577, 663, 19413, 729, 606, 15813, 8783, 543, 513, 15626, 812, 269, 8575, 32257, 19413, 568, 1572, 519, 12429, 540, 519, 13780, 269, 3571, 2407, 2140, 729, 15011, 663, 553, 10127, 600, 577, 663, 19413, 269, 19413, 729, 606, 15813, 5191, 25142, 269, 1261, 17388, 13907, 585, 4095, 14412, 689, 3703, 7810, 4341, 563, 3891, 21039, 899, 513, 2653, 812, 269, 1261, 20595, 23157, 14475, 689, 737, 327, 14508, 269, 1261, 729, 513, 2731, 9350, 543, 18803, 1880, 1268, 543, 891, 7907, 1185, 1044, 519, 24117, 1946, 2043, 5219, 547, 607, 1864, 2048, 321, 777, 340, 685, 630, 15289, 1040, 1261, 729, 6659, 538, 513, 9699, 7622, 540, 7262, 5032, 338, 540, 30899, 520, 563, 3891, 729, 4535, 593, 476, 273, 5239, 476, 5908, 280, 538, 28769, 7171, 541, 267, 30899, 520, 269, 1703, 779, 513, 18487, 16314, 538, 3127, 593, 519, 1554, 540, 19413, 779, 1376, 269, 634, 2140, 540, 1010, 4651, 729, 1744, 14389, 15546, 577, 663, 19413, 543, 1010, 3158, 779, 2140, 729, 16381, 889, 2967, 269, 19413, 729, 606, 4095, 15818, 267, 1514, 19191, 267, 2278, 543, 606, 15813, 2797, 8783, 563, 294, 16905, 4682, 547, 2689, 7939, 1101, 689, 519, 2160, 540, 25512, 599, 1287, 646, 3606, 4682, 547, 5507, 547, 9096, 1010, 30134, 618, 269, 8575, 32257, 19413, 4682, 18246, 547, 2689, 7939, 269, 1261, 12913, 1010, 30134, 618, 689, 519, 2160, 540, 5507, 538, 476, 6245, 272, 543, 3893, 1934, 1586, 547, 3127, 269, 19413, 10202, 5340, 513, 1713, 1599, 538, 3478, 5191, 585, 3127, 563, 294, 16905, 1500, 519, 9045, 344, 27558, 3873, 267, 519, 6070, 15292, 547, 667, 663, 328, 269, 9045, 344, 27558, 3873, 568, 513, 1826, 540, 32593, 550, 4187, 610, 3540, 4187, 799, 3746, 2478, 519, 9744, 540, 1249, 269, 9045, 344, 27558, 3873, 729, 538, 5163, 689, 4728, 476, 1321, 547, 4989, 476, 277, 538, 476, 4350, 271, 269, 19413, 10202, 21947, 7130, 16382, 646, 4682, 563, 8450, 532, 891, 13685, 20427, 9168, 1010, 1272, 543, 646, 3459, 547, 16783, 609, 519, 13009, 540, 1875, 8686, 2723, 775, 543, 16712, 1143, 269, 23205, 802, 7550, 1010, 3652, 543, 10752, 543, 5219, 547, 607, 1864, 536, 777, 340, 269, 19413, 1927, 609, 519, 6587, 3084, 1235, 17388, 585, 4095, 7115, 11489, 789, 2063, 569, 9715, 1863, 689, 3703, 4341, 538, 476, 3707, 278, 563, 30538, 32257, 19413, 6035, 24181, 547, 891, 538, 1616, 543, 945, 1185, 1044, 796, 6202, 269, 1261, 5280, 519, 2043, 4299, 676, 682, 2889, 1910, 269, 19413, 808, 328, 10123, 6462, 519, 18807, 2950, 538, 11543, 2463, 543, 1620, 269, 901, 5693, 8761, 602, 646, 729, 606, 1367, 4904, 609, 6568, 543, 2463, 585, 16764, 543, 782, 519, 4773, 563, 3891, 26060, 16764, 269, 1261, 729, 513, 2731, 18803, 543, 3730, 1880, 1268, 269, 901, 8799, 812, 5747, 593, 5130, 476, 1789, 538, 519, 476, 1321, 3275, 476, 3707, 279, 950, 646, 729, 8929, 4278, 823, 538, 1010, 9221, 563, 9596, 3958, 281, 476, 1015, 18135, 1231, 593, 8575, 32257, 19413, 454, 13625, 593, 8575, 32257, 19413, 476, 4335, 1912, 29320, 454, 30538, 32257, 19413, 568, 2693, 835, 540, 519, 7887, 5191, 25881, 540, 3127, 269, 19413, 729, 513, 1268, 540, 1010, 8360, 269, 8575, 32257, 1261, 729, 513, 2731, 9350, 1880, 1268, 543, 693, 782, 2053, 2219, 540, 1818, 4708, 609, 1142, 9183, 269, 19413, 779, 2407, 2140, 729, 15011, 663, 553, 10127, 600, 577, 663, 19413, 269, 634, 2140, 540, 1010, 4651, 729, 10127, 600, 577, 663, 31579, 600, 577, 663, 19413, 945, 6039, 1317, 519, 12751, 10579, 540, 519, 1533, 540, 28769, 7171, 541, 563, 14367, 3158, 16381, 889, 2967, 729, 513, 2731, 5289, 8004, 543, 6462, 19413, 2059, 609, 1010, 4978, 269, 8575, 32257, 19413, 729, 9310, 547, 513, 4807, 3957, 918, 770, 7875, 2967, 25120, 7315, 10202, 950, 646, 729, 476, 1724, 1296, 22573, 543, 1185, 476, 275, 14930, 2059, 609, 1200, 269, 3245, 519, 1360, 4358, 267, 19413, 729, 513, 8797, 1880, 1268, 543, 693, 513, 2731, 1507, 2085, 646, 7691, 519, 11984, 1063, 1697, 543, 19451, 269, 23205, 802, 540, 3127, 5219, 547, 607, 1864, 2048, 321, 777, 340, 685, 1813, 547, 1010, 2386, 7907, 563, 3891, 21039, 909, 899, 513, 3833, 2241, 543, 18803, 812, 945, 3085, 1406, 1416, 1018, 519, 1158, 14659, 540, 1864, 269, 1261, 20595, 23157, 14475, 689, 737, 327, 14508, 269, 1261, 15336, 593, 519, 13009, 540, 1875, 8686, 2723, 775, 543, 9045, 344, 27558, 3873, 269, 2334, 779, 519, 24117, 646, 779, 519, 12429, 540, 519, 13780, 269, 19413, 729, 4535, 593, 476, 273, 5239, 267, 476, 5908, 280, 538, 28769, 7171, 541, 1533, 540, 30899, 520, 538, 513, 9699, 7622, 563, 2467, 779, 513, 18487, 16314, 538, 3127, 593, 713, 8763, 4266, 543, 519, 1554, 540, 1010, 1376, 568, 1134, 1634, 538, 3127, 607, 19413, 20289, 21468, 269, 23205, 802, 723, 1187, 693, 519, 1459, 942, 9878, 24744, 547, 519, 1434, 812, 19413, 543, 1832, 538, 2247, 1010, 24279, 585, 938, 4182, 563, 293, 565, 802, 1205, 12257, 689, 693, 519, 1459, 942, 609, 8799, 9547, 543, 12257, 269, 8575, 32257, 19413, 10692, 585, 519, 3540, 2924, 2509, 7130, 269, 19413, 10202, 10692, 585, 1480, 2924, 1739, 1010, 840, 1061, 540, 1875, 5208, 269, 1261, 21947, 7130, 16382, 646, 979, 267, 607, 4166, 607, 646, 729, 16207, 1055, 513, 5665, 5965, 1256, 6466, 646, 729, 2348, 513, 1101, 11665, 10160, 19044, 563, 4322, 13685, 9168, 1864, 20427, 543, 24330, 1864, 547, 6370, 2509, 519, 859, 2812, 269, 1261, 21947, 7130, 16382, 646, 4682, 2705, 607, 513, 12990, 540, 29400, 689, 713, 2013, 646, 21947, 621, 609, 2909, 1597, 612, 543, 3576, 5049, 689, 621, 269, 2290, 538, 1169, 540, 1010, 8799, 1272, 5049, 729, 547, 588, 2651, 593, 519, 13374, 540, 513, 327, 1231, 320, 799, 10522, 1875, 8686, 2723, 775, 563, 3891, 15336, 593, 519, 840, 1061, 540, 1530, 4788, 1143, 267, 9045, 344, 27558, 3873, 543, 1875, 8686, 2723, 775, 269, 1703, 779, 835, 538, 782, 1010, 1034, 1134, 8153, 10530, 799, 2829, 968, 6826, 519, 1689, 602, 596, 1175, 1616, 547, 1294, 538, 519, 1158, 892, 543, 968, 1103, 513, 7646, 1935, 267, 596, 7654, 666, 21199, 519, 1158, 9731, 3891, 729, 513, 2731, 15044, 812, 945, 6836, 547, 7369, 519, 1158, 2059, 609, 1010, 5049, 543, 14661, 873, 1932, 269, 1879, 646, 4682, 547, 4000, 547, 4019, 7939, 267, 646, 1558, 513, 1297, 540, 2043, 543, 1500, 930, 27498, 269, 1261, 1500, 1010, 13794, 1256, 972, 269, 8575, 32257, 568, 513, 2140, 799, 729, 2016, 547, 1864, 538, 3162, 4000, 538, 476, 4489, 275, 676, 519, 17055, 9082, 563, 294, 16905, 808, 328, 6594, 7939, 689, 519, 2160, 540, 25512, 599, 543, 4682, 547, 5507, 585, 3606, 2866, 269, 1261, 12913, 1010, 30134, 618, 538, 519, 5823, 540, 7939, 543, 1931, 689, 519, 2160, 540, 5507, 538, 476, 6245, 272, 269, 1261, 5280, 519, 2043, 4299, 676, 682, 2889, 1910, 543, 1114, 4105, 22074, 563, 3891, 676, 1100, 1797, 21630, 1063, 1079, 1004, 269, 1261, 17411, 16764, 609, 7862, 543, 2463, 269, 1261, 1256, 6035, 24181, 547, 519, 2831, 543, 796, 6202, 2043, 269, 769, 1010, 835, 10839, 646, 3081, 602, 968, 763, 30493, 540, 513, 4182, 543, 922, 5683, 3356, 949, 581, 24565, 676, 519, 1655, 1259, 922, 2831, 616, 17411, 1848, 799, 568, 3020, 6157, 563, 288, 1268, 899, 19413, 568, 9157, 547, 3406, 856, 267, 649, 2115, 547, 581, 18507, 602, 646, 729, 606, 15813, 5067, 540, 3127, 269, 901, 8799, 812, 5747, 593, 5130, 476, 1789, 267, 476, 3707, 279, 267, 646, 729, 8929, 4278, 823, 538, 1010, 9221, 563, 10527, 4617, 666, 676, 1100, 1797, 31799, 269, 1280, 326, 4369, 568, 519, 14487, 540, 519, 7347, 1848, 2443, 8575, 32257, 19413, 269, 589, 1268, 899, 19413, 1522, 676, 1100, 1797, 581, 4535, 2899, 811, 269, 634, 3652, 540, 713, 8799, 812, 5721, 721, 13907, 827, 1272, 269, 1261, 859, 10280, 721, 547, 676, 1100, 1797, 21704, 543, 3180, 7303, 607, 513, 1267, 540, 1249, 666, 676, 1100, 1797, 6336, 563, 10214, 1318, 1631, 2043, 8774, 741, 17229, 543, 2628, 24744, 547, 19413, 593, 19413, 20289, 21468, 538, 1121, 27320, 540, 1010, 22617, 548, 543, 1864, 269, 594, 4126, 713, 1257, 2337, 596, 538, 12423, 1100, 2339, 596, 1185, 1044, 16462, 585, 563, 13625, 593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 621, 538, 519, 1605, 22770, 2540, 7460, 269, 2171, 917, 602, 519, 22597, 729, 1031, 538, 3504, 5527, 543, 20770, 607, 513, 10877, 327, 1228, 269, 4517, 972, 729, 513, 9490, 3364, 4448, 609, 922, 946, 281, 621, 2968, 513, 3090, 540, 8956, 543, 6392, 16638, 519, 10787, 5101, 538, 3504, 2053, 267, 519, 22597, 729, 4847, 547, 581, 1031, 1152, 676, 28370, 610, 676, 1346, 538, 1164, 13646, 269, 769, 2342, 267, 519, 16380, 941, 519, 9998, 547, 946, 519, 22597, 607, 513, 10877, 327, 1228, 269, 4517, 519, 22597, 729, 4847, 538, 1455, 946, 538, 3504, 10255, 269, 3719, 621, 568, 5156, 602, 519, 9998, 7606, 538, 2342, 547, 946, 519, 22597, 607, 4027, 1996, 4764, 941, 519, 3504, 14564, 269, 4438, 519, 5664, 12698, 267, 519, 946, 540, 519, 22597, 18374, 20374, 7868, 333, 621, 7902, 1586, 538, 7977, 538, 519, 3735, 31303, 2540, 269, 4517, 1586, 267, 621, 729, 2808, 513, 3090, 540, 1379, 543, 6392, 16638, 1472, 476, 12739, 271, 267, 519, 22597, 7902, 538, 5333, 543, 2663, 593, 538, 4789, 269, 1635, 519, 22733, 2540, 267, 519, 22597, 729, 1031, 1996, 4764, 2429, 1034, 540, 2342, 269, 308, 3387, 22641, 553, 723, 711, 4957, 1454, 538, 2511, 1282, 782, 713, 942, 267, 1498, 789, 723, 1831, 476, 1454, 14402, 538, 2597, 20193, 7012, 1405, 2394, 519, 14206, 2540, 602, 2021, 781, 16813, 22641, 553, 3459, 547, 581, 1500, 538, 513, 2898, 3099, 540, 4778, 269, 634, 1101, 946, 540, 22597, 729, 607, 567, 9041, 476, 4586, 288, 269, 4027, 1996, 4764, 454, 289, 269, 12094, 1996, 519, 3141, 454, 290, 269, 513, 3090, 540, 1379, 543, 6392, 454, 291, 269, 513, 3090, 540, 8956, 543, 6392, 454, 12585, 281, 645, 0, 9223, 281, 1548, 798, 596, 1589, 519, 2104, 786, 581, 899, 286, 3371, 616, 930, 4267, 689, 930, 1053, 269, 6307, 281, 1403, 649, 1810, 1405, 1491, 1434, 1416, 540, 519, 3618, 1631, 267, 938, 1453, 543, 6264, 18244, 786, 581, 4535, 883, 513, 1158, 609, 1454, 5533, 1547, 1703, 786, 581, 7864, 4054, 543, 811, 5656, 267, 1317, 972, 786, 581, 811, 1004, 269, 10793, 281, 594, 3858, 609, 6307, 269, 12085, 786, 581, 8338, 1547, 634, 4365, 538, 519, 2104, 786, 581, 1454, 28555, 269, 18972, 4465, 1405, 581, 2111, 547, 2661, 593, 519, 3618, 269, 1358, 786, 723, 547, 1413, 585, 1776, 4541, 547, 2661, 593, 269, 27692, 281, 594, 1589, 519, 1272, 538, 519, 2104, 786, 581, 1732, 269, 4107, 1004, 538, 519, 1158, 786, 946, 834, 13582, 6517, 257, 676, 476, 1708, 271, 267, 865, 972, 786, 581, 1447, 5533, 543, 1004, 786, 2661, 547, 581, 476, 1220, 1296, 2025, 269, 1306, 585, 2230, 2951, 267, 594, 1131, 2161, 267, 649, 786, 3643, 9370, 538, 827, 15823, 1296, 269, 1358, 616, 6158, 827, 476, 9041, 476, 4586, 288, 269, 5533, 454, 289, 269, 4365, 538, 519, 2104, 454, 290, 269, 1272, 538, 519, 2104, 454, 291, 269, 9370, 538, 827, 15823, 1296, 454, 12585, 281, 595 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 855, 1223, 660, 1205, 972, 269, 1287, 1775, 4682, 547, 519, 744, 3799, 11054, 1070, 855, 729, 3478, 1945, 4636, 585, 513, 1279, 942, 267, 25216, 3388, 1477, 258, 543, 1376, 689, 519, 4098, 267, 782, 602, 3576, 803, 811, 982, 476, 273, 3108, 269, 1341, 272, 5662, 585, 979, 690, 1782, 519, 24050, 3070, 543, 1477, 258, 1620, 621, 1477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 513, 1268, 547, 1831, 21295, 630, 19365, 338, 267, 476, 1001, 271, 1040, 634, 17915, 602, 1313, 8328, 2866, 5751, 2832, 547, 3132, 616, 14246, 543, 3389, 1465, 630, 19365, 338, 267, 476, 1001, 271, 1916, 763, 960, 540, 3162, 19213, 1696, 620, 269, 630, 1960, 280, 264, 5267, 602, 14278, 1670, 8069, 602, 4481, 3077, 6862, 611, 1066, 21544, 30759, 1522, 581, 3730, 538, 519, 2126, 540, 17971, 269, 1849, 517, 26593, 568, 606, 14668, 273, 19076, 21544, 13805, 30748, 626, 602, 814, 1044, 4080, 547, 581, 5363, 538, 513, 2039, 540, 26901, 531, 1644, 17971, 2589, 630, 21026, 19213, 1696, 620, 1421, 476, 1960, 280, 1916, 763, 769, 30062, 27138, 8367, 2982, 602, 896, 26901, 531, 5012, 547, 4057, 2773, 630, 288, 1370, 1299, 8092, 619, 267, 476, 1220, 274, 1040, 19452, 267, 1970, 26901, 531, 2157, 602, 616, 7805, 538, 1004, 609, 4965, 666, 581, 6766, 711, 1152, 676, 14278, 1670, 1797, 855, 849, 998, 5626, 1797, 269, 3807, 607, 972, 616, 1082, 2553, 547, 6175, 26901, 531, 865, 1932, 972, 616, 1082, 547, 4679, 26901, 531, 2157, 543, 789, 786, 581, 5941, 1985, 563, 6944, 13764, 519, 7244, 2557, 1568, 1175, 607, 1134, 585, 2810, 26901, 531, 607, 621, 1281, 585, 13302, 26901, 531, 630, 19365, 338, 267, 476, 1001, 271, 1040, 763, 7244, 4480, 5956, 609, 519, 1268, 1101, 4742, 3222, 540, 741, 7244, 630, 19365, 338, 267, 476, 1001, 271, 1040, 1358, 616, 1287, 4280, 547, 5469, 519, 11733, 540, 741, 7244, 1354, 1373, 4280, 547, 2333, 519, 7244, 11733, 630, 19365, 338, 267, 476, 1001, 271, 1040, 1306, 519, 1268, 17938, 2297, 789, 1058, 4952, 602, 789, 616, 17938, 2718, 9854, 543, 11375, 2718, 1648, 630, 19365, 338, 267, 476, 1001, 271, 1916, 5319, 1120, 2358, 11052, 568, 3730, 950, 9854, 814, 1305, 538, 610, 1648, 568, 2877, 547, 9096, 513, 1404, 538, 7328, 630, 19365, 338, 267, 476, 1001, 271, 1040, 1323, 1383, 540, 519, 946, 540, 10069, 2358, 11052, 568, 1336, 538, 519, 8241, 7260, 689, 476, 2735, 272, 1572, 11829, 760, 10008, 912, 31568, 281, 1548, 616, 707, 7953, 888, 6635, 16408, 16803, 281, 25951, 269, 13082, 25951, 563, 31568, 281, 1548, 616, 789, 2469, 547, 798, 888, 6635, 16408, 16803, 281, 670, 14766, 803, 1524, 519, 3950, 563, 31568, 281, 1215, 3728, 666, 596, 2196, 888, 6635, 16408, 16803, 281, 1306, 3728, 607, 513, 682, 16985, 563, 31568, 281, 1215, 3728, 616, 596, 2469, 547, 2196, 888, 6635, 16408, 16803, 281, 1306, 3728, 607, 513, 682, 16985, 2336, 31568, 281, 3973, 1577, 779, 1294, 596, 798, 621, 2336, 1103, 7328, 11913, 10291, 971, 607, 979, 267, 1011, 1712, 267, 3595, 5346, 666, 3533, 581, 2404, 609, 1648, 1628, 5346, 630, 19365, 338, 267, 476, 1001, 271, 1040, 14171, 713, 513, 1900, 2417, 267, 14780, 760, 677, 630, 2735, 279, 264, 4330, 513, 4480, 1031, 676, 8109, 3864, 7328, 18673, 602, 5916, 10069, 2358, 10291, 267, 2592, 267, 543, 7244, 269, 634, 4480, 15538, 540, 513, 3126, 11913, 6898, 13745, 609, 2790, 11052, 543, 7244, 269, 1280, 1383, 267, 538, 519, 1739, 3948, 3144, 689, 14780, 760, 677, 630, 2735, 279, 264, 519, 24495, 545, 2213, 3296, 540, 519, 3948, 568, 1767, 593, 519, 32480, 1317, 713, 568, 519, 1448, 1141, 4887, 8082, 568, 5433, 912, 2108, 7069, 7244, 568, 4742, 16830, 892, 630, 3725, 701, 520, 476, 275, 2053, 994, 5331, 513, 4195, 30089, 25738, 593, 707, 3068, 269, 18461, 519, 979, 846, 27894, 17729, 593, 707, 2960, 607, 596, 2253, 547, 695, 1853, 5594, 563, 1103, 713, 1259, 519, 11913, 29692, 729, 1031, 538, 14966, 609, 519, 7244, 4480, 543, 1287, 519, 9196, 540, 519, 3579, 30089, 267, 979, 846, 27894, 543, 695, 1853, 532, 547, 7794, 519, 1198, 563, 32513, 20561, 543, 562, 648, 18090, 31058, 556, 340, 696, 820, 20127, 3097, 32513, 20561, 543, 562, 648, 18090, 31058, 556, 340, 696, 820, 20127, 2333, 519, 2179, 540, 22515, 543, 562, 648, 18090, 31058, 21883, 1369, 519, 3844, 8401, 1062, 676, 17527, 519, 556, 25388, 1632, 540, 891, 30088, 269, 901, 1895, 540, 5061, 1331, 9006, 331, 2378, 1314, 710, 543, 546, 592, 2135, 564, 710, 630, 10674, 2517, 4178, 269, 2135, 5112, 10915, 2397, 2593, 270, 1613, 270, 1015, 269, 11820, 274, 270, 659, 10915, 270, 7818, 25171, 280, 6924, 4281, 272, 278, 269, 9826, 269, 1822, 272, 270, 659, 10915, 268, 7818, 25171, 280, 6924, 4281, 272, 278, 3887, 268, 14093, 7906, 994, 20911, 5540, 8404, 998, 922, 7939, 540, 26901, 531, 269, 3962, 1268, 814, 606, 6099, 1377, 540, 26901, 531, 693, 799, 789, 1685, 1655, 269, 634, 6099, 1377, 540, 26901, 531, 15320, 1063, 2043, 543, 1369, 606, 1367, 8200, 593, 519, 4305, 1373, 5340, 269, 589, 9317, 531, 1377, 666, 581, 14931, 1210, 5626, 543, 14278, 1670, 7459, 269, 9122, 593, 891, 7682, 687, 513, 1268, 666, 10038, 741, 26901, 531, 538, 1022, 3510, 547, 10069, 1047, 7180, 547, 1685, 693, 741, 1655, 563, 268, 31802, 543, 7553, 270, 9349, 270, 1001, 278, 270, 32507, 19517, 1562, 543, 8404, 630, 9349, 3184, 267, 476, 1001, 278, 994, 268, 31802, 543, 7553, 270, 9349, 270, 1001, 278, 26260, 2988, 1054, 31726, 543, 8404, 630, 9349, 3184, 267, 476, 1001, 278, 994, 288, 1370, 267, 590, 269, 631, 1421, 1299, 8092, 619, 267, 667, 269, 631, 269, 630, 1220, 274, 264, 589, 9317, 531, 267, 17520, 267, 543, 13437, 281, 589, 1234, 7721, 8727, 540, 519, 769, 30062, 27138, 29138, 269, 3194, 22588, 569, 585, 11644, 543, 22505, 267, 476, 10619, 263, 275, 1070, 476, 275, 3607, 268, 29900, 267, 20396, 281, 476, 1015, 269, 10482, 271, 270, 271, 2767, 25320, 6858, 269, 1220, 274, 269, 11793, 6021, 272, 1724, 454, 289, 21672, 267, 670, 269, 630, 3192, 276, 1040, 634, 11005, 3210, 269, 1715, 3840, 281, 2997, 517, 7734, 454, 291, 4428, 344, 267, 661, 269, 630, 4350, 273, 1040, 4053, 4788, 570, 3290, 607, 13565, 547, 4284, 1664, 543, 10263, 269, 4132, 4886, 267, 476, 274, 263, 274, 1070, 476, 1220, 563, 293, 334, 1774, 267, 590, 269, 700, 1421, 8330, 517, 11219, 2158, 267, 717, 1421, 1299, 25204, 267, 674, 269, 661, 269, 630, 2735, 271, 1040, 6764, 592, 572, 2534, 540, 30580, 1071, 518, 2544, 639, 11409, 538, 25805, 14148, 543, 22171, 568, 513, 1599, 540, 10444, 14242, 543, 26901, 531, 269, 18619, 2986, 634, 2817, 9142, 2986, 7070, 2986, 634, 2136, 2276, 2986, 3013, 267, 476, 6507, 263, 276, 1070, 476, 24062, 274, 268, 24062, 278, 563, 294, 872, 742, 267, 589, 269, 623, 1421, 1299, 1230, 2784, 773, 267, 654, 269, 590, 269, 630, 1960, 279, 1040, 2422, 540, 11636, 11005, 2866, 585, 5312, 4568, 923, 609, 20026, 269, 16723, 18614, 267, 476, 11025, 263, 273, 1070, 476, 2412, 278, 563, 294, 746, 267, 667, 1421, 5682, 29566, 267, 595, 1421, 1299, 918, 8735, 267, 966, 269, 630, 1220, 273, 264, 589, 9317, 531, 268, 2304, 3806, 543, 22505, 29007, 269, 769, 570, 269, 24125, 267, 25790, 538, 22505, 10017, 630, 653, 269, 476, 21709, 268, 26237, 1040, 19598, 5218, 281, 5274, 918, 27282, 454, 3891, 6277, 267, 667, 269, 744, 269, 630, 4198, 276, 1040, 3220, 1161, 543, 519, 595, 12991, 2529, 269, 630, 935, 24632, 8401, 1062, 1040, 16723, 5623, 267, 476, 7830, 263, 275, 1070, 476, 25838, 268, 22724, 563, 27455, 619, 267, 667, 269, 631, 269, 1299, 589, 1370, 267, 590, 269, 631, 269, 630, 1001, 271, 1040, 589, 9317, 531, 6261, 518, 18504, 17716, 269, 769, 808, 269, 631, 269, 13879, 267, 11930, 22505, 10017, 630, 653, 269, 476, 21854, 268, 26727, 1040, 1715, 3840, 281, 17755, 3863, 6953, 650, 563, 26244, 760, 677, 267, 717, 269, 630, 2735, 279, 1040, 4414, 4154, 8445, 2773, 2553, 540, 519, 6739, 543, 5101, 4436, 16727, 4619, 832, 269, 11968, 13353, 281, 570, 2117, 615, 269, 8158, 689, 4179, 2517, 1105, 633, 3820, 270, 6894, 270, 1042, 326, 1245, 701, 752, 704, 325, 334, 876, 571, 760, 258, 2457, 270, 15793, 8276, 1712, 270, 273, 1575, 454, 21026, 19213, 267, 590, 269, 631, 1421, 6601, 332, 1676, 267, 808, 269, 667, 1421, 681, 11047, 1380, 517, 267, 589, 1421, 21546, 267, 595, 269, 594, 1421, 23172, 22978, 267, 589, 1421, 1299, 4077, 2284, 267, 667, 269, 590, 269, 630, 1960, 280, 1040, 10020, 540, 562, 648, 18090, 31058, 538, 519, 2619, 30986, 543, 2126, 540, 2022, 10177, 9964, 2566, 4524, 269, 18143, 24741, 267, 476, 5379, 263, 280, 1070, 476, 15686, 273, 268, 6344, 275, 269, 8222, 281, 1015, 269, 6200, 277, 13478, 1822, 277, 268, 27088, 274, 263, 4200, 264, 16573, 866, 29930, 454, 19365, 338, 267, 808, 269, 631, 269, 630, 1001, 271, 1040, 4039, 1314, 566, 543, 2037, 1120, 1944, 9828, 585, 19938, 540, 589, 9317, 531, 269, 769, 808, 269, 631, 269, 13879, 267, 11930, 22505, 10017, 630, 653, 269, 476, 21854, 268, 26727, 1040, 1715, 3840, 281, 17755, 3863, 6953, 650, 269, 0, 293, 565, 3511, 10338, 689, 5277, 3435, 949, 1491, 1747, 3842, 519, 2759, 1834, 267, 2759, 7781, 18015, 543, 20541, 687, 267, 998, 588, 558, 1092, 267, 959, 747, 2345, 610, 2027, 2213, 28603, 531, 2281, 269, 5565, 6127, 540, 1165, 3511, 10338, 723, 1044, 5941, 543, 6353, 547, 513, 1978, 6708, 267, 12077, 267, 519, 2759, 7781, 13374, 543, 519, 588, 558, 7614, 13374, 269, 3204, 8973, 519, 6127, 540, 2759, 7781, 10338, 267, 3284, 6897, 267, 9067, 30858, 7135, 723, 1044, 6069, 547, 1246, 513, 18236, 1673, 1170, 1828, 1184, 269, 769, 4334, 267, 519, 6127, 540, 10338, 540, 28920, 32281, 1151, 2373, 998, 519, 2759, 1834, 616, 4867, 711, 4628, 6956, 543, 621, 814, 1044, 32424, 267, 621, 949, 2049, 3842, 968, 12120, 748, 22405, 6100, 1703, 568, 1152, 9940, 2963, 585, 519, 6228, 540, 8701, 22405, 267, 2094, 621, 814, 711, 1044, 2009, 865, 2484, 547, 3713, 971, 3889, 538, 2030, 2326, 609, 519, 9145, 641, 673, 2553, 4867, 2139, 563, 4407, 519, 4644, 540, 519, 588, 558, 7614, 13374, 593, 519, 19718, 540, 1165, 3511, 838, 7590, 814, 1044, 513, 2339, 540, 15784, 585, 1082, 1296, 267, 2487, 2963, 2982, 602, 621, 666, 7361, 3565, 547, 519, 10338, 1184, 269, 15766, 725, 5645, 856, 609, 24638, 911, 6203, 3177, 2963, 585, 588, 558, 7614, 10338, 2059, 519, 2627, 3842, 513, 18236, 1184, 269, 23205, 3511, 10338, 3340, 27072, 540, 519, 4294, 6070, 269, 9747, 267, 2899, 519, 6749, 540, 13226, 3070, 16125, 519, 6978, 2627, 267, 519, 942, 6967, 538, 513, 5277, 5123, 4667, 547, 581, 2629, 269, 1323, 9450, 5277, 5123, 593, 519, 6978, 2627, 568, 6766, 676, 1079, 2188, 267, 3448, 11195, 630, 305, 295, 264, 543, 1642, 2294, 12412, 11195, 630, 11403, 295, 264, 540, 519, 6070, 267, 799, 6257, 519, 8766, 1216, 11517, 2604, 7175, 14836, 543, 20919, 547, 10110, 1216, 689, 519, 4478, 2011, 543, 547, 979, 883, 3070, 269, 634, 3448, 11195, 693, 799, 1642, 2294, 12412, 1101, 4386, 568, 513, 8984, 540, 519, 1367, 6219, 563, 289, 7595, 3679, 585, 1383, 267, 814, 513, 19010, 295, 540, 476, 7176, 260, 10834, 602, 1165, 3511, 22190, 29736, 3435, 5627, 6986, 536, 7595, 3679, 786, 1152, 3251, 538, 3070, 538, 3592, 1216, 15459, 2011, 269, 631, 4869, 999, 540, 1079, 6878, 2539, 519, 19010, 295, 2630, 519, 19010, 295, 540, 519, 1367, 6219, 563, 7712, 8770, 838, 7590, 616, 4294, 538, 519, 2361, 267, 972, 568, 513, 3908, 4960, 547, 1852, 519, 6127, 2404, 609, 519, 2557, 540, 10338, 543, 6915, 13808, 540, 519, 5567, 4294, 547, 519, 16714, 267, 855, 30574, 2371, 950, 588, 558, 1092, 616, 1930, 543, 896, 2175, 12145, 519, 2557, 540, 3070, 15018, 1522, 581, 513, 2009, 1852, 1907, 269, 1717, 267, 519, 2956, 540, 5355, 519, 3601, 540, 1165, 3511, 8770, 30422, 814, 1279, 1044, 6444, 267, 543, 568, 4867, 513, 2339, 540, 3621, 1719, 607, 1883, 4640, 547, 11126, 519, 2773, 540, 1165, 3511, 838, 7590, 269, 5410, 14476, 267, 971, 607, 1147, 2399, 1218, 16715, 519, 2627, 8082, 540, 1216, 543, 14123, 519, 1184, 540, 588, 558, 7614, 22467, 1674, 610, 1208, 624, 1218, 10804, 532, 519, 1184, 540, 17366, 339, 15018, 267, 723, 1044, 3254, 547, 2087, 519, 7145, 540, 8770, 838, 7590, 950, 4294, 547, 24972, 12734, 7031, 269, 0, 13142, 3030, 2147, 538, 5920, 267, 855, 723, 2965, 7960, 689, 1114, 11937, 269, 13067 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2026, 649, 2736, 1007, 3232, 5638, 609, 5176, 476, 1911, 267, 1822, 1007, 5046, 268, 866, 2665, 593, 11016, 267, 4239, 269, 476, 1789, 267, 594, 666, 1406, 948, 855, 723, 513, 1989, 574, 19773, 269, 634, 3018, 3056, 909, 547, 602, 11016, 849, 1185, 519, 1034, 2665, 936, 1022, 5722, 6377, 1974, 2094, 5147, 269, 2311, 476, 280, 269, 274, 2929, 5046, 268, 866, 5563, 267, 5176, 1614, 2600, 540, 4892, 723, 1044, 7783, 865, 2484, 267, 609, 1100, 2312, 1439, 538, 8289, 563, 2026, 5046, 268, 866, 5170, 547, 581, 513, 851, 540, 938, 3232, 2729, 267, 649, 991, 547, 2232, 519, 2152, 602, 949, 1267, 538, 519, 1279, 2165, 269, 14878, 5523, 267, 968, 14075, 3620, 4954, 619, 892, 930, 1004, 723, 9490, 569, 4797, 547, 8858, 5046, 268, 866, 2589, 1279, 1310, 25588, 519, 2068, 269, 1323, 7969, 1353, 1336, 602, 476, 9262, 269, 275, 2600, 540, 11452, 2550, 4797, 547, 8858, 693, 2547, 835, 10835, 1079, 3275, 1310, 741, 3355, 3968, 269, 5871, 2589, 1331, 9854, 267, 7411, 7244, 267, 12150, 26470, 543, 14715, 2152, 269, 6520, 267, 3023, 543, 840, 1410, 12371, 2175, 3100, 547, 2333, 519, 10171, 540, 2348, 968, 14075, 5046, 1848, 901, 3085, 1406, 1611, 1762, 1004, 543, 519, 2635, 616, 7357, 2922, 1498, 269, 3807, 936, 835, 6709, 6621, 540, 7783, 1004, 1063, 519, 6502, 540, 476, 1240, 543, 476, 3607, 4080, 711, 23232, 547, 741, 1482, 1377, 540, 1072, 1310, 1100, 3476, 4152, 2318, 269, 1284, 4076, 1256, 2938, 14038, 543, 1453, 3136, 547, 4159, 2589, 2947, 547, 3670, 3275, 1310, 7620, 25588, 519, 2068, 563, 25402, 13773, 974, 568, 513, 5449, 2261, 25070, 27460, 269, 594, 2161, 267, 968, 845, 518, 892, 1317, 3232, 8781, 1928, 538, 1010, 17873, 267, 31018, 267, 2489, 25874, 543, 968, 28090, 20893, 892, 723, 10300, 1540, 1010, 2899, 3742, 6197, 269, 901, 11151, 1864, 267, 543, 2550, 899, 1864, 267, 689, 2713, 1010, 1272, 693, 519, 1482, 2298, 646, 1185, 1354, 519, 3644, 269, 1306, 7189, 1451, 811, 827, 5046, 268, 866, 267, 649, 1631, 917, 602, 621, 666, 4734, 26711, 593, 711, 1175, 519, 1560, 855, 519, 2247, 607, 1134, 269, 589, 2487, 1353, 1336, 476, 11025, 2600, 540, 2550, 1995, 930, 2186, 540, 14715, 10835, 609, 5046, 268, 866, 269, 769, 519, 10782, 2665, 267, 713, 2634, 20893, 814, 4843, 3294, 607, 513, 6822, 730, 1642, 597, 1756, 267, 711, 7429, 12110, 563, 26542, 268, 866, 3884, 1406, 2189, 538, 4929, 2589, 1279, 1310, 519, 3355, 3968, 269, 17148, 899, 30133, 666, 2482, 26862, 585, 5756, 543, 616, 513, 1267, 540, 9269, 21479, 269, 2311, 519, 4090, 267, 519, 3169, 2014, 540, 1279, 5046, 568, 711, 1634, 267, 855, 4966, 723, 1336, 602, 922, 24412, 1419, 723, 15087, 543, 28332, 15649, 2451, 3297, 593, 741, 9641, 543, 2295, 269, 3958, 267, 930, 3744, 3494, 267, 968, 1097, 339, 758, 710, 15420, 892, 616, 547, 16620, 269, 7261, 339, 758, 710, 15420, 616, 606, 936, 516, 9146, 540, 519, 4761, 1062, 547, 1978, 3676, 269, 901, 5114, 814, 849, 1044, 5532, 547, 4430, 7972, 543, 519, 5368, 325, 1254, 540, 930, 2043, 609, 5046, 268, 866, 563, 4263, 713, 1448, 267, 952, 596, 1810, 1406, 3494, 5046, 268, 866, 568, 513, 1857, 1072, 6433, 543, 1945, 547, 581, 22992, 7255, 827, 267, 972, 568, 4440, 2370, 594, 666, 798, 547, 18609, 596, 269, 634, 1152, 3364, 602, 1522, 960, 568, 952, 596, 3054, 1831, 7783, 267, 799, 693, 519, 2557, 1919, 616, 2469, 568, 513, 3982, 7872, 269, 8409, 945, 723, 1044, 519, 1034, 513, 2091, 547, 9849, 13968, 543, 1739, 1697, 5046, 268, 866, 23833, 3800, 616, 513, 2462, 851, 540, 1946, 519, 3644, 568, 1869, 1472, 563, 6124, 10215, 267, 799, 3576, 5046, 268, 866, 14686, 3978, 267, 9783, 23801, 267, 22608, 9376, 23957, 543, 2813, 1949, 547, 5702, 3950, 543, 3589, 519, 2619, 540, 5563, 269, 1358, 4625, 17515, 2146, 3262, 543, 723, 13175, 547, 2132, 547, 3339, 269, 1635, 2038, 5239, 267, 621, 729, 835, 540, 519, 1152, 2477, 538, 519, 1158, 1141, 596, 1223, 7390, 30145, 267, 11303, 676, 5215, 540, 1004, 563, 763, 2136, 2276, 543, 922, 1004, 723, 12628, 519, 3440, 593, 713, 835, 269, 1306, 513, 1267, 267, 5046, 268, 866, 2589, 786, 3136, 547, 1831, 513, 2760, 268, 2056, 6560, 538, 811, 2729, 269, 4595, 5147, 267, 20279, 17055, 267, 2826, 339, 8643, 16836, 814, 1044, 7231, 609, 27676, 2589, 282, 26032, 540, 7362, 267, 9667, 2152, 543, 513, 20893, 4445, 3965, 269, 2701, 568, 267, 968, 684, 1260, 13025, 782, 1554, 1279, 3034, 31955, 1053, 616, 711, 4761, 267, 1256, 952, 649, 1745, 899, 649, 616, 269, 7831, 5614, 267, 715, 7614, 773, 670, 752, 8403, 729, 513, 1908, 326, 5573, 1647, 26591, 27460, 269, 4653, 267, 1352, 9620, 547, 13236, 543, 568, 593, 513, 16221, 540, 6527, 269, 589, 261, 300, 779, 3375, 547, 3136, 538, 16512, 5049, 267, 16056, 11176, 543, 824, 2238, 949, 2047, 2800, 922, 1053, 269, 19343, 779, 11068, 9519, 962, 749, 6657, 543, 519, 1739, 11176, 3014, 4951, 1053, 711, 5265, 1514, 26865, 267, 1256, 950, 972, 568, 811, 982, 2614, 4055, 538, 519, 6763, 547, 798, 865, 269, 898, 4667, 1256, 519, 6280, 786, 711, 17997, 922, 1378, 5046, 268, 866, 3106, 4808, 610, 1416, 2614, 547, 711, 2022, 1025, 520, 656, 19374, 540, 621, 593, 922, 12108, 563, 296, 1205, 602, 621, 779, 2182, 1318, 1631, 269, 5617, 10079, 803, 267, 594, 6557, 25356, 1932, 269, 594, 13842, 519, 10072, 267, 519, 30627, 267, 519, 20420, 543, 6999, 1919, 1131, 1175, 979, 1394, 547, 3339, 269, 1809, 621, 666, 1406, 4755, 593, 922, 1378, 269, 9406, 1631, 267, 649, 991, 1434, 5718, 543, 1455, 2631, 547, 7173, 841, 269, 589, 7453, 543, 5702, 16913, 27579, 267, 538, 519, 2511, 540, 1715, 10215, 267, 568, 519, 1152, 3364, 602, 786, 1205, 721, 2250, 713, 2394, 513, 6669, 568, 2139, 269, 8786, 267, 621, 786, 7620, 10413, 519, 4346, 269, 1717, 267, 1951, 21794, 713, 856, 585, 945, 6487, 875, 1279, 814, 2907, 8810, 547, 581, 2484, 811, 5739, 267, 711, 1152, 585, 1870, 855, 585, 938, 1072, 543, 8788, 607, 1134, 269, 634, 3476, 649, 7227, 267, 519, 811, 1004, 949, 581, 695, 871, 1194, 547, 513, 10715, 540, 19210, 543, 9636, 269, 0, 2252, 596, 723, 2479, 2219, 827, 1818, 513, 7730, 3926, 610, 513, 7746, 267, 610, 723, 1175, 546, 13741, 1194, 538, 519, 1158, 540, 4859, 596, 723, 4440, 4862, 540, 17241, 2839, 269, 634, 2407, 1106, 540, 17241, 2839, 568, 2965, 968, 16446, 1495, 656, 26275, 540, 18763, 630, 528, 769, 19763, 264, 2598, 802, 6100, 634, 1292, 3483, 540, 713, 5044, 568, 547, 1711, 513, 3106, 2121, 585, 782, 707, 4859, 7923, 547, 519, 7730, 610, 7746, 269, 674, 5435, 570, 16260, 568, 519, 1292, 3804, 540, 713, 4480, 563, 293, 5435, 570, 16260, 1797, 602, 538, 519, 2680, 1141, 835, 5397, 14543, 610, 10523, 267, 519, 5044, 3294, 786, 1832, 8647, 543, 519, 1239, 786, 581, 6870, 269, 901, 568, 5393, 1271, 538, 3318, 3156, 543, 1239, 7740, 1141, 519, 13763, 543, 782, 519, 11479, 3330, 873, 1522, 723, 6213, 1239, 602, 2115, 547, 581, 6870, 693, 782, 3790, 269, 17241, 2839, 5044, 666, 948, 1683, 513, 4990, 540, 3106, 4183, 538, 799, 1239, 666, 1869, 581, 6870, 1256, 952, 972, 568, 513, 8800, 5821, 563, 8489, 17241, 2839, 568, 1271, 454, 6938, 2839, 568, 12926, 1031, 538, 3156, 1141, 1239, 568, 6740, 2066, 2789, 11479, 269, 19791, 899, 13763, 543, 1239, 7740, 723, 606, 11613, 2629, 991, 585, 17241, 2839, 865, 602, 519, 7372, 5666, 540, 6213, 1239, 666, 581, 6870, 538, 519, 2013, 540, 513, 8800, 5821, 269, 769, 1840, 547, 1346, 3156, 267, 17241, 2839, 568, 849, 4742, 5051, 2442, 538, 1753, 543, 5604, 3156, 269, 3117, 28366, 616, 1631, 7432, 547, 17241, 2839, 547, 2901, 2333, 2773, 610, 1683, 21336, 3599, 538, 2013, 540, 513, 5397, 2530, 269, 901, 1826, 540, 17241, 2839, 568, 1373, 4122, 1305, 909, 538, 3156, 971, 607, 1753, 7730, 13763, 543, 519, 899, 563, 1692, 547, 1305, 909, 17241, 2839, 454, 6938, 2839, 666, 581, 1305, 5346, 1210, 1312, 3301, 543, 8800, 19383, 269, 12229, 17241, 2839, 12122, 1797, 596, 666, 946, 519, 17241, 2839, 7207, 1510, 1210, 1022, 6131, 8800, 269, 667, 539, 5344, 17241, 2839, 8800, 3622, 1797, 513, 17241, 2839, 17120, 269, 2755, 1210, 3301, 17241, 2839, 267, 519, 7915, 17241, 2839, 7207, 540, 519, 5665, 1062, 616, 11573, 3042, 269, 8837, 476, 1015, 267, 8837, 476, 279, 267, 543, 8837, 476, 278, 2059, 609, 12380, 543, 13013, 2473, 5395, 951, 723, 2407, 1489, 585, 3301, 7400, 17241, 2839, 269, 4595, 713, 1377, 540, 17241, 2839, 666, 581, 27358, 3330, 519, 3301, 693, 1100, 3606, 1942, 267, 713, 1797, 602, 713, 1505, 568, 4998, 585, 2043, 2324, 593, 513, 1507, 1297, 540, 11479, 693, 519, 1753, 610, 1507, 5604, 1377, 563, 26773, 2264, 17241, 2839, 267, 593, 519, 824, 1688, 267, 3340, 1808, 17241, 2839, 27196, 547, 15407, 519, 1761, 540, 17241, 2839, 547, 922, 2407, 652, 269, 901, 568, 513, 811, 7199, 855, 811, 6325, 543, 11684, 1505, 602, 666, 581, 6225, 585, 3318, 4859, 960, 267, 1239, 4099, 3156, 267, 610, 3573, 7730, 13763, 563, 7617, 17241, 2839, 5426, 1058, 596, 3442, 454, 2467, 616, 1082, 2157, 540, 17241, 2839, 4122, 1031, 538, 1312, 519, 7082, 543, 5294, 10179, 5624, 269, 1452, 2157, 630, 10193, 1572, 17241, 2839, 1488, 7590, 264, 1142, 2097, 609, 741, 2640, 543, 19363, 269, 898, 568, 909, 547, 519, 3593, 547, 2697, 799, 835, 17015, 741, 2115, 519, 1034, 269, 898, 568, 849, 1271, 547, 4063, 602, 3301, 543, 8800, 17241, 2839, 19383, 1489, 1114, 2157, 540, 17241, 2839, 543, 666, 849, 27774, 519, 2010, 540, 11479, 602, 616, 6462, 538, 519, 17241, 2839, 12122, 281, 20389, 288, 267, 590, 3008, 267, 610, 9399, 291, 563, 1607, 17241, 2839, 1377, 568, 1031, 547, 5818, 513, 7746, 779, 2773, 269, 2060, 713, 12122, 267, 1239, 568, 2854, 2066, 2789, 28283, 269, 898, 568, 849, 1634, 607, 968, 4134, 330, 4174, 4771, 6100, 21894, 960, 596, 616, 3257, 593, 713, 7746, 568, 1373, 17411, 676, 2789, 11479, 267, 3976, 519, 2773, 568, 2799, 1813, 547, 513, 2362, 1297, 540, 594, 23860, 4238, 269, 6271, 4324, 6306, 689, 3432, 568, 602, 17241, 2839, 476, 271, 666, 581, 27358, 538, 1312, 3301, 543, 8800, 3029, 267, 543, 1034, 27196, 1489, 568, 607, 1134, 269, 634, 7887, 2721, 3724, 540, 713, 12122, 568, 13337, 10892, 269, 1403, 835, 5397, 14543, 267, 782, 519, 1239, 2066, 782, 4174, 6244, 28283, 568, 8854, 269, 7982, 1575, 568, 1883, 952, 596, 1544, 547, 7500, 538, 713, 12122, 563, 1607, 12122, 568, 849, 1634, 607, 968, 291, 7416, 8272, 337, 1681, 892, 543, 519, 7887, 2178, 1448, 540, 17241, 2839, 476, 272, 568, 519, 13337, 10892, 269, 3220, 1161, 538, 713, 17241, 2839, 5044, 616, 3169, 18187, 553, 540, 1142, 824, 267, 3976, 2870, 513, 8273, 3106, 2121, 1058, 1022, 5397, 3111, 538, 519, 5044, 269, 4578, 568, 23652, 16900, 689, 835, 5397, 547, 1776, 543, 621, 568, 519, 14724, 1259, 547, 1711, 513, 12210, 11604, 693, 513, 5266, 1970, 1942, 563, 763, 7887, 19319, 540, 17241, 2839, 476, 272, 568, 519, 8749, 593, 2773, 269, 9603, 547, 519, 1249, 602, 1239, 568, 2854, 2066, 2789, 11479, 3079, 540, 835, 267, 519, 2773, 540, 513, 17241, 2839, 476, 272, 5044, 568, 14887, 982, 513, 13737, 5397, 269, 634, 2034, 2721, 3724, 568, 602, 519, 2698, 946, 762, 4390, 540, 513, 17241, 2839, 5044, 568, 3368, 540, 519, 2040, 540, 519, 5397, 19206, 269, 1280, 1383, 267, 513, 14764, 609, 476, 273, 11479, 540, 476, 272, 307, 289, 1142, 786, 723, 513, 2698, 17241, 2839, 4390, 540, 476, 272, 307, 289, 2864, 982, 476, 273, 307, 289, 269, 901, 568, 15069, 585, 21336, 3599, 4128, 563, 2252, 596, 1175, 1616, 547, 16924, 804, 821, 513, 2182, 5397, 267, 938, 3391, 949, 581, 5363, 538, 602, 2543, 563, 1607, 568, 519, 1034, 1455, 12122, 585, 13055, 7730, 3457, 543, 1870, 13763, 269, 901, 5044, 568, 606, 6454, 936, 17241, 2839, 476, 272, 1317, 621, 10970, 28179, 930, 540, 519, 2773, 2530, 602, 568, 7915, 547, 12210, 8272, 337, 1681, 267, 543, 849, 2488, 1434, 13337, 10892, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 707, 19460, 7472, 519, 5021, 2179, 540, 3002, 689, 513, 2016, 7274, 540, 4492, 563, 19119, 2986, 10395, 755, 542, 5811, 454, 2026, 596, 666, 4952, 267, 519, 9030, 4324, 540, 13674, 2079, 568, 602, 621, 786, 957, 547, 5818, 707, 19460, 781, 2773, 267, 543, 3976, 547, 2539, 707, 2949, 1648, 3790, 269, 10395, 755, 542, 2079, 849, 6411, 547, 2087, 707, 19460, 781, 3106, 269, 634, 811, 7561, 13674, 568, 2111, 547, 8399, 267, 519, 7864, 6757, 6878, 786, 581, 1459, 538, 519, 9688, 3154, 269, 769, 824, 1913, 267, 707, 19460, 786, 10460, 1447, 540, 513, 3463, 547, 1312, 596, 543, 707, 1920, 267, 543, 547, 519, 1604, 693, 1804, 269, 1280, 811, 1344, 267, 2911, 547, 513, 3318, 899, 681, 1299, 681, 1261, 908, 1299, 15346, 532, 540, 2717, 330, 2910, 5549, 269, 0, 15447, 1578, 540, 519, 1686, 540, 10344, 538, 2474, 540, 1585, 3157, 543, 741, 7389, 540, 4367, 267, 6163, 540, 3239, 3812, 971, 607, 519, 7047, 324, 11546, 23724, 924, 267, 543, 519, 2450, 540, 2592, 1034, 2442, 693, 1114, 2053, 267, 666, 849, 581, 4547, 547, 7703, 563, 4322, 5916, 2188, 666, 2356, 581, 5916, 547, 1450, 519, 10571, 14787, 547, 12446, 693, 513, 2673, 16977, 6580, 585, 1022, 2016, 8523, 10023, 1004, 538, 9660, 563, 763, 1412, 5979, 345, 3188, 262, 1665, 1031, 1063, 476, 1240, 547, 5909, 1518, 519, 14664, 540, 519, 3631, 10805, 676, 519, 5177, 30171, 8433, 2636, 519, 8446, 540, 1554, 267, 3923, 543, 1032, 540, 741, 14261, 563, 1607, 729, 2523, 3020, 538, 519, 476, 7277, 271, 338, 950, 2367, 779, 7802, 6035, 17401, 3358, 25151, 543, 5538, 338, 619, 269, 1548, 547, 1413, 585, 281, 17266, 22249, 16556, 267, 10859, 1922, 26860, 25151, 9991, 547, 4571, 6253, 662, 269, 24771, 9543, 5443, 1869, 20595, 8389, 1188, 25151, 267, 855, 7820, 15061, 2367, 1131, 3006, 798, 865, 267, 607, 1134, 269, 9521, 8988, 3688, 267, 972, 568, 1100, 4266, 4484, 593, 8988, 30066, 3850, 547, 5431, 519, 4266, 540, 922, 5478, 269, 2690, 8988, 30066, 3688, 519, 14664, 781, 4266, 540, 10805, 3631, 949, 581, 3730, 585, 606, 16977, 6580, 2529, 20799, 1633, 781, 2551, 849, 9782, 6385, 267, 689, 476, 273, 269, 279, 2929, 538, 476, 6977, 272, 547, 476, 275, 269, 275, 2929, 538, 476, 5002, 272, 269, 4913, 267, 8581, 781, 2551, 8519, 25921, 267, 689, 476, 279, 269, 273, 2929, 538, 476, 7277, 272, 547, 1447, 982, 476, 275, 269, 276, 2929, 538, 476, 5002, 272, 267, 6140, 1813, 547, 519, 4279, 5482, 710, 269, 0, 763, 21107, 968, 13070, 3472, 675, 519, 1034, 1271, 946, 540, 1216, 892, 6045, 519, 2956, 540, 4024, 600, 8291, 9503, 6683, 547, 938, 4346, 543, 519, 2487, 1353, 2944, 676, 519, 772, 2529, 269, 8136, 17620, 540, 19296, 543, 519, 14822, 4826, 8249, 4972, 269, 1358, 1533, 602, 476, 1626, 2600, 540, 519, 1216, 6740, 676, 519, 476, 1724, 5313, 21394, 538, 519, 4024, 600, 8291, 9503, 1131, 581, 1031, 585, 6683, 563, 763, 21107, 1281, 711, 1533, 519, 2600, 540, 1216, 4867, 1031, 269, 9453, 602, 4137, 267, 649, 3112, 3313, 952, 519, 1353, 568, 3981, 532, 513, 6175, 267, 4567, 28943, 267, 610, 2333, 538, 2139, 1216, 585, 12555, 269, 594, 3858, 602, 6683, 568, 519, 1034, 1271, 946, 540, 1216, 267, 1310, 782, 968, 7224, 7031, 267, 1100, 1426, 2223, 855, 649, 991, 782, 519, 5013, 610, 649, 666, 1406, 1118, 606, 10995, 6085, 547, 519, 17620, 540, 19296, 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 ]
[ 0, 320, 25507, 9272, 2891, 18484, 1676, 796, 9930, 3691, 20221, 513, 8442, 3418, 604, 513, 4939, 273, 2652, 476, 271, 2433, 1477, 13537, 2891, 335, 1515, 14744, 12828, 6769, 13537, 2891, 11069, 1515, 8442, 0, 5814, 4351, 692, 3698, 1003, 15058, 318, 13569, 263, 13569, 2187, 825, 562, 815, 16136, 2608, 476, 3607, 454, 825, 635, 23962, 815, 4351, 27110, 263, 271, 267, 476, 3607, 994, 825, 2132, 635, 23962, 454, 825, 454, 825, 454, 3698, 3593, 10031, 825, 3593, 19571, 815, 703, 9272, 2891, 11767, 513, 1297, 1063, 476, 272, 547, 476, 277, 547, 10627, 2433, 27328, 825, 635, 19571, 815, 4351, 27110, 263, 271, 267, 277, 994, 825, 1820, 2891, 20663, 781, 1297, 2580, 635, 19571, 994, 825, 2132, 3593, 19571, 267, 635, 19571, 692, 825, 454, 3698, 1267, 263, 12528, 19571, 267, 635, 19571, 267, 2698, 267, 735, 23962, 2187, 825, 952, 263, 12528, 19571, 2652, 635, 19571, 2187, 1038, 1820, 2891, 11192, 8255, 20639, 2580, 2698, 994, 1038, 10888, 8548, 1173, 514, 815, 735, 23962, 910, 2698, 454, 1038, 1820, 2891, 2791, 616, 4934, 269, 8950, 654, 517, 519, 3014, 676, 2580, 10888, 8548, 1173, 514, 267, 834, 337, 12584, 5602, 1038, 2132, 476, 271, 454, 825, 3116, 912, 1038, 2698, 815, 2698, 1341, 3593, 19571, 454, 1038, 1820, 2891, 11192, 3593, 781, 6060, 2580, 2698, 994, 1038, 952, 6025, 4973, 3436, 735, 23962, 2187, 2018, 10888, 8548, 1173, 514, 815, 2698, 910, 735, 23962, 454, 2018, 1820, 2891, 2791, 4465, 519, 3014, 676, 2580, 10888, 8548, 1173, 514, 267, 834, 337, 12584, 5602, 2018, 2132, 476, 271, 454, 1038, 3116, 912, 2018, 2132, 2698, 454, 1038, 454, 2162, 6301, 9577, 13872, 825, 454, 20135, 815, 476, 271, 8931, 13569, 815, 703, 9272, 2891, 11767, 1297, 540, 16136, 2433, 27363, 4818, 23962, 815, 1003, 15058, 318, 13569, 263, 13569, 994, 2745, 2891, 20663, 814, 20639, 2580, 735, 23962, 2437, 337, 12584, 269, 2659, 27010, 568, 2580, 735, 23962, 1341, 476, 272, 2020, 1721, 1775, 538, 2039, 263, 13569, 2187, 825, 585, 795, 538, 2039, 263, 277, 2187, 1038, 1820, 2891, 7021, 2580, 1775, 266, 272, 267, 834, 30761, 2580, 795, 266, 272, 994, 1038, 3593, 19571, 267, 635, 19571, 815, 3593, 4590, 1038, 2698, 815, 1267, 263, 12528, 19571, 267, 635, 19571, 267, 2698, 267, 735, 23962, 994, 1038, 952, 2698, 2652, 476, 271, 912, 2018, 2736, 692, 604, 630, 20135, 11203, 476, 271, 2567, 8587, 1948, 2698, 786, 476, 581, 4642, 952, 6474, 8694, 1354, 519, 16136, 616, 6192, 563, 825, 952, 6025, 4973, 2652, 735, 23962, 2187, 1038, 1820, 2891, 26969, 13615, 5602, 825, 3116, 912, 1038, 10888, 8548, 1173, 514, 815, 735, 23962, 910, 2698, 454, 1038, 1820, 2891, 302, 951, 6192, 269, 8950, 4465, 519, 3014, 676, 2580, 10888, 8548, 1173, 514, 267, 834, 337, 12584, 5602, 0, 5814, 4351, 5897, 331, 560, 272, 284, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 316, 5897, 577, 1734, 318, 272, 284, 476, 736, 1477, 7224, 15058, 15220, 1734, 318, 272, 284, 476, 271, 1477, 20365, 24417, 12584, 284, 476, 271, 1477, 21506, 2745, 9497, 14343, 9339, 10559, 333, 7312, 15506, 1154, 14826, 14744, 6112, 1100, 15058, 15220, 1734, 318, 272, 2999, 8458, 318, 272, 6769, 24541, 825, 8255, 284, 703, 9272, 2891, 11767, 681, 12584, 585, 2659, 15506, 1154, 12414, 281, 834, 17903, 825, 735, 10734, 25717, 284, 4351, 26716, 4069, 10857, 560, 272, 10142, 825, 952, 8255, 2525, 4818, 10734, 25717, 6769, 1038, 1820, 9497, 7312, 2871, 612, 281, 14307, 337, 12584, 2437, 267, 20663, 2871, 612, 281, 14307, 4818, 10734, 25717, 3418, 1038, 1820, 9497, 2791, 616, 4934, 269, 2659, 11192, 681, 12584, 284, 14307, 707, 24417, 12584, 2437, 315, 333, 14744, 1038, 2736, 1477, 825, 8640, 8255, 285, 1015, 6769, 1038, 1820, 9497, 3201, 12224, 8627, 8081, 3143, 1152, 11489, 476, 1015, 14826, 14744, 1038, 3136, 1477, 825, 3116, 6769, 1038, 707, 24417, 12584, 284, 707, 24417, 12584, 266, 337, 12584, 1477, 1038, 1820, 9497, 7312, 2871, 612, 281, 14307, 337, 12584, 2437, 267, 20663, 2871, 612, 281, 14307, 4818, 10734, 25717, 3418, 1038, 1820, 9497, 7312, 8255, 3767, 616, 281, 14307, 20365, 24417, 12584, 2437, 315, 333, 257, 10142, 825, 1100, 15058, 15220, 1734, 318, 272, 284, 1100, 15058, 15220, 1734, 318, 272, 1341, 476, 272, 567, 5897, 331, 560, 273, 284, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 316, 5897, 577, 1734, 318, 273, 284, 476, 736, 1477, 7224, 15058, 15220, 1734, 318, 273, 284, 476, 271, 1477, 4818, 24417, 12584, 284, 476, 271, 1477, 2745, 9497, 14343, 9339, 268, 14744, 2745, 9497, 20663, 15506, 1154, 10559, 333, 14744, 6112, 1100, 15058, 15220, 1734, 318, 273, 2999, 8458, 318, 273, 281, 5897, 825, 12826, 284, 703, 9272, 2891, 11767, 681, 12584, 585, 2659, 14332, 1782, 12414, 281, 834, 17903, 825, 735, 10734, 520, 284, 4351, 26716, 4069, 10857, 560, 273, 10142, 825, 952, 735, 10734, 520, 2525, 11312, 331, 6769, 1038, 1820, 9497, 20663, 2871, 612, 281, 14307, 4818, 10734, 520, 2437, 7312, 2871, 612, 281, 14307, 11312, 331, 3418, 1038, 1820, 9497, 763, 8950, 568, 4934, 269, 8950, 681, 12584, 284, 14307, 4818, 24417, 12584, 2437, 315, 333, 14744, 1038, 2736, 1477, 825, 3116, 6769, 1038, 735, 24417, 12584, 284, 735, 24417, 12584, 266, 4818, 10734, 520, 1477, 1038, 1820, 9497, 20663, 2871, 612, 281, 14307, 4818, 10734, 520, 2437, 7312, 2871, 612, 281, 14307, 11312, 331, 3418, 1038, 1820, 9497, 20663, 681, 12584, 281, 14307, 4818, 24417, 12584, 2437, 315, 333, 257, 10142, 1038, 952, 735, 24417, 12584, 3436, 707, 24417, 12584, 6769, 2018, 2736, 1477, 1363, 1477, 825, 1100, 15058, 15220, 1734, 318, 273, 284, 1100, 15058, 15220, 1734, 318, 273, 266, 272, 24653, 2745, 9497, 315, 333, 14343, 9339, 10559, 333, 305, 2464, 8085, 4811, 281, 834, 10142, 604, 735, 24417, 12584, 2999, 707, 24417, 12584, 6769, 825, 1820, 9497, 315, 333, 2791, 4465, 519, 10794, 26142, 333, 14826, 7312, 11192, 681, 12584, 284, 14307, 20365, 24417, 12584, 2437, 476, 1496, 289, 578, 3149, 3144, 263, 11073, 540, 476, 736, 2567, 14307, 7224, 15058, 15220, 1734, 318, 272, 266, 272, 2437, 316, 14824, 315, 333, 20663, 11192, 681, 12584, 284, 14307, 4818, 24417, 12584, 2437, 476, 1496, 289, 578, 3149, 570, 2586, 263, 11073, 540, 476, 736, 2567, 14307, 7224, 15058, 15220, 1734, 318, 273, 266, 272, 2437, 316, 315, 333, 257, 10142, 19197, 735, 24417, 12584, 2652, 707, 24417, 12584, 6769, 825, 1820, 9497, 763, 10794, 568, 513, 570, 773, 257, 10142, 12828, 6769, 825, 1820, 9497, 315, 333, 20663, 4465, 519, 10794, 26142, 333, 14826, 20663, 11192, 681, 12584, 284, 14307, 4818, 24417, 12584, 2437, 476, 1496, 289, 578, 3149, 570, 2586, 263, 11073, 540, 476, 736, 2567, 14307, 7224, 15058, 15220, 1734, 318, 273, 266, 272, 2437, 316, 14824, 315, 333, 7312, 11192, 681, 12584, 284, 14307, 20365, 24417, 12584, 2437, 476, 1496, 289, 578, 3149, 3144, 263, 11073, 540, 476, 736, 2567, 14307, 7224, 15058, 15220, 1734, 318, 272, 266, 272, 2437, 316, 315, 333, 14744, 0, 454, 7246, 311, 32707, 7968, 8025, 815, 476, 274, 7531, 3698, 6218, 29033, 2187, 825, 5727, 27987, 513, 1871, 602, 568, 2362, 952, 519, 4604, 568, 1732, 585, 519, 1412, 302, 262, 6345, 610, 2539, 6382, 27969, 454, 825, 2132, 4604, 29644, 3488, 302, 10807, 910, 4604, 29644, 3488, 311, 5073, 0, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 21795, 607, 19073, 692, 323, 21648, 564, 284, 335, 323, 18667, 32269, 3488, 21946, 776, 318, 10574, 27406, 5073, 311, 284, 10471, 269, 559, 665, 18020, 32473, 272, 4940, 11161, 1948, 9795, 540, 2934, 263, 967, 4632, 994, 344, 284, 10471, 269, 559, 665, 18020, 910, 272, 4940, 11161, 1948, 323, 8817, 4632, 692, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 454, 311, 17601, 267, 311, 15305, 11971, 17601, 11971, 15305, 284, 30221, 15305, 5334, 5902, 11583, 11971, 267, 11687, 15481, 284, 272, 270, 274, 267, 12690, 26077, 284, 271, 2020, 18851, 5228, 28189, 269, 2181, 30112, 1104, 9208, 306, 5632, 518, 454, 2675, 343, 284, 9208, 306, 5632, 518, 4590, 311, 17601, 284, 2675, 343, 32265, 4671, 4920, 845, 11583, 17601, 994, 311, 15305, 284, 2675, 343, 32265, 4671, 4920, 845, 11583, 15305, 994, 338, 1097, 284, 9208, 306, 5632, 518, 4590, 344, 17601, 284, 338, 1097, 32265, 4671, 4920, 845, 12169, 17601, 994, 344, 15305, 284, 338, 1097, 32265, 4671, 4920, 845, 12169, 15305, 264, 20701, 5228, 28189, 269, 15035, 31200, 1104, 12430, 8802, 1833, 454, 2958, 31395, 284, 12430, 8802, 1833, 4590, 2958, 31395, 32265, 11583, 17601, 11971, 17601, 2020, 344, 28177, 284, 2958, 31395, 4877, 9438, 11583, 15305, 994, 258, 24058, 2358, 519, 2164, 454, 10823, 31892, 2660, 11583, 17601, 11971, 17601, 267, 10233, 8782, 1042, 5073, 10823, 19502, 11583, 17601, 267, 2958, 31395, 4877, 9438, 11583, 17601, 1070, 10233, 8782, 19990, 5073, 10823, 26644, 2891, 21946, 776, 5288, 15232, 281, 2866, 1305, 5602, 10823, 11859, 16932, 2891, 312, 8986, 540, 15232, 5602, 10823, 269, 29786, 2891, 21946, 776, 5602, 10823, 20481, 10797, 10823, 31892, 2660, 11583, 15305, 11971, 15305, 267, 10233, 8782, 1042, 5073, 10823, 19502, 11583, 17601, 267, 2958, 31395, 4877, 9438, 11583, 17601, 1070, 10233, 8782, 19990, 5073, 10823, 26644, 2891, 21946, 776, 5288, 15232, 281, 1449, 1305, 5602, 10823, 11859, 16932, 2891, 312, 8986, 540, 15232, 5602, 10823, 269, 29786, 2891, 21946, 776, 5602, 10823, 20481, 3890, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 570, 826, 4924, 476, 866, 476, 1724, 281, 4366, 281, 2918, 476, 1001, 280, 692, 287, 10461, 281, 1183, 9109, 692, 10267, 1846, 18694, 454, 10900, 9339, 454, 268, 567, 5463, 528, 2209, 616, 2362, 19195, 3252, 267, 2495, 789, 1491, 1776, 1599, 607, 3097, 825, 3403, 543, 14178, 741, 2623, 267, 1510, 22212, 621, 22562, 268, 567, 769, 9226, 267, 3252, 616, 1101, 11665, 3615, 269, 901, 1797, 835, 666, 1780, 873, 454, 825, 1472, 543, 946, 873, 607, 7440, 22562, 268, 567, 4595, 7718, 2209, 616, 3252, 267, 596, 666, 946, 873, 899, 2834, 3252, 269, 3097, 825, 1411, 1223, 267, 585, 3236, 267, 2322, 873, 883, 513, 9074, 543, 1104, 689, 972, 692, 268, 567, 1548, 568, 26126, 286, 9847, 31727, 540, 606, 1843, 547, 917, 827, 922, 1378, 3097, 825, 10305, 693, 678, 29025, 22562, 268, 567, 1403, 649, 946, 23732, 267, 533, 2814, 976, 26126, 568, 3138, 3151, 1344, 267, 2094, 454, 825, 519, 1599, 1631, 14659, 267, 621, 568, 519, 12109, 3899, 1599, 269, 4595, 713, 568, 711, 1360, 454, 825, 3730, 267, 835, 666, 946, 1187, 551, 8962, 22562, 268, 567, 898, 568, 711, 1152, 2009, 547, 30164, 3252, 267, 855, 849, 5049, 454, 20701, 19399, 19399, 5992, 2971, 2162, 454, 10310, 5992, 10426, 532, 3252, 476, 19399, 2971, 454, 19399, 19399, 5992, 2971, 2162, 692, 258, 3807, 513, 2241, 1599, 454, 3698, 1039, 318, 821, 28840, 2187, 825, 2132, 1297, 1341, 476, 272, 7531, 258, 21624, 1259, 547, 3898, 513, 5569, 2336, 3698, 2161, 318, 31435, 28442, 2187, 825, 2132, 535, 257, 15916, 2715, 4067, 348, 5016, 258, 3807, 1776, 28551, 1599, 454, 3698, 581, 318, 1177, 13135, 28442, 2187, 825, 2132, 535, 257, 2791, 616, 15813, 267, 2715, 4067, 348, 5016, 258, 901, 1599, 3217, 1776, 1599, 607, 3403, 454, 3698, 26250, 318, 651, 9109, 6600, 15635, 2187, 825, 2132, 30775, 2891, 298, 5271, 514, 15419, 258, 7435, 936, 1114, 3252, 547, 519, 26250, 318, 651, 9109, 1599, 3097, 2745, 14116, 22901, 318, 651, 9109, 4433, 599, 318, 31435, 4917, 2745, 14116, 22901, 318, 651, 9109, 263, 2041, 318, 1177, 13135, 11723, 19399, 19399, 5992, 2971, 2162, 454, 10310, 5992, 28740, 3252, 476, 19399, 30607, 454, 19399, 19399, 5992, 2971, 2162, 692, 258, 16294, 513, 2385, 1599, 454, 3698, 2385, 16325, 2187, 825, 1219, 1101, 10031, 1038, 2132, 834, 17098, 267, 594, 993, 519, 1101, 6418, 1599, 4840, 8931, 825, 1219, 2034, 10031, 1038, 2132, 834, 17098, 267, 594, 993, 519, 2034, 6418, 1599, 4840, 8931, 825, 1948, 28740, 3252, 616, 711, 2139, 3544, 741, 2385, 1599, 563, 825, 1948, 4475, 649, 2132, 835, 540, 873, 454, 825, 952, 1003, 2652, 476, 272, 912, 1038, 2132, 1101, 454, 825, 3116, 912 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 6567, 476, 273, 476, 271, 476, 274, 476, 271, 476, 271, 476, 275, 476, 272, 476, 272, 6567, 476, 272, 476, 1321, 476, 280, 6567, 476, 277, 476, 277, 25620, 355, 25620, 353, 589, 4493, 585, 713, 552, 580, 839, 10628, 568, 19881, 2243, 8921, 2243, 13295, 267, 519, 552, 580, 839, 10628, 540, 568, 6383, 676, 513, 2582, 6152, 9747, 267, 519, 552, 580, 839, 10628, 814, 10155, 543, 519, 12166, 3818, 13109, 540, 568, 476, 272, 267, 1447, 982, 922, 15821, 3818, 13109, 267, 799, 568, 3160, 547, 476, 273, 269, 898, 5205, 602, 519, 5119, 568, 26843, 543, 649, 3112, 4020, 513, 4493, 540, 14802, 27523, 540, 602, 21269, 519, 2230, 540, 10321, 269, 2444, 8172, 713, 1259, 267, 596, 1439, 909, 538, 513, 1305, 540, 31085, 4830, 10321, 538, 519, 552, 580, 839, 10628, 4399, 12027, 10490, 10559, 14433, 594, 29408, 799, 596, 2347, 538, 513, 4493, 540, 519, 552, 580, 839, 10628, 269, 901, 4493, 568, 676, 4070, 513, 16888, 4493, 269, 8074, 281, 763, 552, 580, 839, 10628, 540, 519, 14802, 7407, 4399, 14433, 318, 272, 284, 276, 259, 568, 519, 12732, 540, 519, 6152, 4399, 11355, 642, 259, 971, 602, 281, 30967, 288, 268, 276, 296, 9385, 11355, 642, 284, 1422, 11355, 476, 271, 2330, 602, 568, 281, 476, 1422, 8218, 21421, 348, 476, 271, 261, 272, 261, 274, 11138, 476, 271, 261, 268, 277, 261, 271, 11138, 476, 271, 3267, 8340, 782, 3982, 27744, 540, 589, 269, 3973, 1265, 513, 4493, 585, 519, 552, 580, 839, 10628, 540, 589, 7222, 547, 1142, 14802, 7407, 269, 1280, 1142, 14802, 7407, 267, 14574, 519, 10155, 540, 519, 552, 580, 839, 10628, 7222, 547, 602, 14802, 7407, 267, 1287, 4283, 519, 14802, 7407, 4553, 676, 519, 4493, 540, 519, 552, 580, 839, 10628, 7222, 547, 602, 14802, 7407, 269, 910, 272, 476, 273, 268, 277, 589, 284, 815, 476, 277, 910, 280, 476, 1789, 476, 273, 910, 2767, 7089, 540, 2560, 11321, 476, 2420, 267, 476, 1001, 274, 3267, 552, 580, 839, 10628, 5788, 476, 272, 269, 654, 16575, 654, 18494, 666, 581, 9763, 607, 519, 17830, 540, 519, 5276, 7004, 570, 6629, 16575, 296, 570, 910, 18494, 2340, 479, 351, 594, 1547, 5788, 476, 273, 269, 634, 10155, 5788, 476, 274, 269, 654, 16575, 654, 18494, 568, 606, 23223, 656, 1109, 1862, 1729, 4063, 568, 602, 1142, 14802, 19066, 540, 589, 814, 606, 552, 580, 839, 10628, 609, 513, 4493, 540, 835, 6152, 267, 865, 602, 3897, 661, 476, 272, 815, 3897, 661, 476, 273, 815, 476, 272, 269, 1284, 632, 683, 519, 12166, 3818, 13109, 540, 606, 14802, 7407, 547, 581, 3897, 661, 2073, 519, 10155, 540, 922, 7222, 552, 580, 839, 10628, 269, 634, 4276, 1063, 891, 1079, 2093, 540, 3818, 13109, 786, 581, 1271, 269, 7151, 476, 271, 269, 275, 11053, 712, 3399, 1934, 585, 513, 2656, 7650, 540, 519, 3135, 6435, 4741, 26346, 4267, 547, 1022, 2055, 596, 1522, 723, 26426, 9181, 519, 25029, 543, 4507, 540, 713, 3135, 28723, 4569, 2055, 543, 4267, 269, 630, 272, 1448, 264, 4855, 513, 4493, 540, 519, 552, 580, 839, 10628, 2404, 609, 519, 14802, 7407, 476, 273, 540, 519, 5119, 910, 589, 284, 476, 271, 476, 271, 910, 277, 910, 275, 476, 275, 476, 273, 476, 1321, 476, 273, 476, 271, 476, 1015, 476, 277, 910, 273, 476, 271, 268, 1015, 910, 277, 589, 4493, 585, 713, 552, 580, 839, 10628, 568, 8160, 541, 476, 273, 267, 476, 1001, 276, 5788, 476, 272, 8382, 269, 590, 9285, 676, 281, 476, 273, 269, 901, 568, 2965, 519, 552, 580, 839, 10628, 281, 661, 18494, 815, 6567, 476, 272, 815, 2715, 1496, 1535, 476, 272, 1535, 476, 273, 1535, 476, 274, 316, 815, 513, 476, 272, 1496, 6567, 476, 272, 476, 272, 476, 271, 316, 1341, 513, 476, 273, 1496, 6567, 476, 272, 476, 271, 476, 272, 13912, 513, 476, 272, 267, 513, 476, 273, 17995, 681, 7684, 799, 568, 513, 1305, 540, 10321, 17598, 1978, 7355, 269, 634, 4493, 540, 621, 568, 281, 2715, 630, 6567, 476, 272, 476, 272, 476, 271, 1070, 630, 6567, 476, 272, 476, 271, 476, 272, 264, 7684, 799, 568, 519, 1305, 540, 31085, 4830, 10321, 602, 12732, 519, 2898, 552, 580, 839, 10628, 269, 5291, 2517, 611, 2086, 534, 31310, 3820, 17345, 3896, 281, 4179, 2517, 4178, 269, 611, 2086, 534, 31310, 3820, 270, 8403, 2304, 14802, 19066, 540, 513, 5119, 568, 513, 6152, 642, 602, 25389, 2997, 815, 700, 341, 269, 769, 824, 1913, 267, 1310, 3267, 1892, 661, 580, 839, 10628, 3040, 4982, 2526, 775, 14497, 10341, 3040, 4855, 519, 27744, 540, 513, 5119, 269, 3040, 4855, 13279, 585, 519, 552, 580, 839, 335, 2167, 540, 513, 5119, 269, 11644, 5590, 476, 276, 269, 272, 769, 20113, 476, 272, 1700, 273, 267, 6166, 676, 8691, 602, 1535, 568, 606, 14802, 19066, 540, 589, 267, 543, 1265, 519, 7222, 14802, 7407, 269, 476, 272, 269, 8382, 281, 476, 276, 476, 273, 269, 476, 274, 269, 4855, 519, 8984, 4834, 540, 519, 1739, 14290, 3267, 307, 630, 341, 264, 815, 589, 265, 341, 815, 25754, 265, 341, 568, 519, 1318, 6935, 269, 519, 27744, 616, 782, 519, 23758, 323, 553, 596, 1265, 267, 519, 14802, 27523, 616, 782, 519, 642, 781, 596, 1265, 602, 14183, 570, 630, 341, 6661, 14433, 265, 341, 267, 543, 519, 552, 580, 839, 10628, 11123, 21450, 14802, 7407, 568, 519, 12732, 540, 519, 14802, 27523, 1071, 2803, 335, 1180, 532, 547, 602, 14802, 7407, 269, 901, 1966, 814, 1044, 12193, 256, 1411, 3513, 1205, 513, 2143, 3070, 689, 513, 1641, 2339, 4274, 602, 2337, 596, 1451, 4295, 2035, 269, 7726, 281, 2913, 589, 284, 414, 492, 352, 414, 492, 350, 25148, 876, 6629, 4335, 271, 4097, 876, 6629, 4649, 275, 414, 492, 355, 414, 492, 353, 630, 320, 264, 634, 27744, 540, 589, 616, 18494, 284, 6629, 276, 543, 18494, 284, 275, 269, 4855, 513, 4493, 585, 519, 552, 580, 839, 10628, 661, 6629, 276, 540, 589, 2404, 547, 519, 14802, 7407, 18494, 284, 6629, 276, 543, 513, 4493, 540, 519, 552, 580, 839, 10628, 661, 275, 540, 589, 3267, 4399, 321, 1122, 532, 4981, 259, 634, 1101, 1079, 1106, 513, 4493, 540, 835, 552, 580, 839, 10628, 267, 543, 519, 2034, 1079, 1106, 513, 4493, 540, 519, 824, 269, 1924, 713, 3884, 1405, 3833, 519, 1482, 2626, 267, 855, 621, 568, 6157, 1644, 269, 4399, 754, 16766, 259, 1107, 5484, 24162, 10458, 7726, 281, 769, 20113, 476, 280, 1700, 1626, 267, 1265, 513, 4493, 585, 519, 552, 580, 839, 10628, 7222, 547, 1142, 7396, 14802, 7407, 269, 476, 2190, 476, 280, 269, 589, 284, 476, 1839, 476, 1015, 269, 589, 476, 2918, 476, 1556, 269, 589, 284, 476, 1015, 476, 272, 815, 1496, 4940, 272, 284, 272, 267, 276, 476, 275, 268, 1496, 1015, 910, 273, 9948, 476, 275, 815, 476, 275, 3267, 1607, 1966, 814, 1044, 12193, 256, 1411, 3513, 1205, 513, 2143, 3070, 689, 513, 1641, 2339, 4274, 602, 2337, 596, 1451, 4295, 2035, 269, 7726, 281, 2913, 589, 284, 414, 492, 352, 414, 492, 350, 25148, 876, 6629, 4335, 271, 4097, 876, 6629, 4649, 275, 414, 492, 355, 414, 492, 353, 630, 320, 264, 634, 27744, 540, 589, 616, 18494, 284, 6629, 276, 543, 18494, 284, 275, 269, 4855, 513, 4493, 585, 519, 552, 580, 839, 10628, 661, 6629, 276, 540, 589, 2404, 547, 519, 14802, 7407, 18494, 284, 6629, 276, 543, 513, 4493, 540, 519, 552, 580, 839, 10628, 661, 275, 540, 589, 3267, 589, 4493, 568, 513, 4015, 540, 10321, 799, 5161, 540, 2614, 10321, 547, 12732, 519, 2230, 267, 855, 1906, 2614, 10321, 602, 789, 2611, 31085, 4830, 269, 3267, 14419, 519, 27744, 2560, 20225, 476, 1704, 267, 476, 1708, 273, 5788, 20505, 269, 13760, 519, 4214, 540, 513, 4493, 540, 513, 1016, 11898, 269, 13760, 519, 4493, 11532, 269, 31204, 281, 4493, 585, 513, 6241, 2230, 267, 4493, 585, 513, 14275, 2230, 267, 4493, 540, 513, 12732, 269, 3267, 769, 713, 3381, 267, 649, 1491, 513, 1413, 693, 519, 19106, 540, 27744, 543, 875, 547, 1265, 519, 4493, 585, 519, 7222, 552, 580, 839, 10628, 16638, 713, 3381, 267, 649, 5581, 519, 552, 580, 839, 10628, 540, 513, 5119, 543, 14802, 7407, 543, 1294, 875, 547, 1265, 513, 4493, 540, 713, 1016, 11898, 11482, 710, 541, 10789, 667, 821, 7046, 569, 568, 606, 1930, 2707, 3267, 321, 12118, 585, 1142, 552, 580, 839, 10628, 547, 581, 9647, 517, 5436, 269, 15531, 661, 3394, 335, 4202, 630, 293, 9548, 5937, 7645, 8865, 264, 634, 3804, 568, 547, 19509, 526, 1169, 22185, 18494, 543, 1169, 7222, 1875, 14706, 6152, 642, 17598, 700, 17635, 264, 815, 18494, 341, 630, 278, 269, 272, 264, 1141, 700, 568, 930, 5276, 7004, 269, 8074, 602, 713, 3830, 568, 4625, 6697, 547, 519, 2690, 513, 2016, 4493, 267, 519, 7004, 570, 2433, 772, 9890, 772, 666, 581, 6719, 676, 606, 562, 6398, 333, 5119, 589, 269, 769, 2474, 540, 713, 4493, 267, 513, 6041, 585, 519, 14802, 27523, 666, 581, 2016, 269, 4746, 267, 519, 27744, 543, 14802, 27523, 14183, 630, 288, 910, 18494, 296, 264, 311, 678, 815, 476, 271, 678, 269, 630, 280, 268, 275, 264, 9747, 267, 519, 552, 580, 839, 10628, 2404, 609, 14802, 7407, 18494, 568, 1175, 519, 17830, 540, 630, 288, 910, 18494, 296, 1040, 272, 3887, 580, 839, 10628, 630, 6518, 5161, 540, 519, 1535, 539, 2798, 540, 519, 7004, 1040, 8921, 267, 26998, 519, 476, 273, 3887, 580, 839, 10628, 269, 634, 5119, 589, 476, 273, 296, 568, 476, 273, 476, 275, 476, 273, 476, 271, 476, 271, 476, 274, 476, 271, 476, 271, 476, 274, 476, 273, 476, 272, 476, 274, 476, 276, 799, 4737, 6971, 547, 476, 273, 476, 275, 476, 272, 476, 271, 476, 271, 476, 271, 476, 272, 476, 272, 476, 273, 476, 271, 476, 271, 476, 271, 476, 274, 476, 276, 543, 689, 602, 649, 666, 1224, 522, 519, 2489, 3070, 630, 343, 282, 344, 282, 345, 264, 815, 630, 271, 282, 272, 476, 273, 1990, 282, 345, 264, 1990, 568, 17062, 269, 2334, 779, 519, 835, 8820, 476, 274, 3887, 580, 839, 10628, 269, 7053, 267, 26998, 519, 476, 274, 3267, 13312, 21192, 1436, 607, 513, 7827, 540, 5178, 529, 382, 370, 269, 1284, 666, 1631, 2490, 547, 606, 1620, 540, 875, 15497, 1436, 28279, 721, 827, 519, 3601, 540, 3230, 288, 2330, 907, 2913, 779, 4612, 519, 15497, 1436, 3230, 288, 815, 623, 7894, 13064, 272, 6525, 538, 2474, 540, 875, 3230, 288, 2330, 6411, 607, 513, 5276, 11346, 907, 1879, 3206, 540, 3230, 288, 2330, 607, 513, 5276, 11346, 267, 15497, 1436, 814, 513, 1808, 7664, 15545, 4144, 21192, 1436, 2560, 9223, 281, 630, 272, 1448, 264, 4855, 513, 4493, 540, 519, 552, 580, 839, 10628, 2404, 609, 519, 14802, 7407, 910, 476, 272, 540, 519, 5119, 589, 4534, 274, 476, 271, 476, 273, 268, 272, 910, 272, 476, 271, 910, 272, 476, 271, 476, 1556, 910, 278, 476, 279, 910, 275, 476, 275, 910, 274, 476, 275, 589, 4493, 585, 713, 3267, 9223, 476, 14056, 271, 3583, 274, 281, 4855, 513, 4493, 540, 519, 552, 580, 839, 10628, 2404, 609, 519, 14802, 7407, 6567, 274, 540, 519, 5119, 589, 284, 24877, 274, 267, 271, 16427, 274, 16427, 274, 9574, 346, 271, 16427, 274, 267, 271, 267, 271, 20467, 346, 273, 267, 271, 267, 273, 267, 276, 9574, 24877, 273, 267, 271, 16427, 273, 16427, 276, 20467, 8382, 676, 476, 1731, 548, 2106, 263, 5392, 272, 3953, 264, 630, 17004, 11905, 2567, 1411, 666, 2322, 713, 3070, 593, 22400, 3896, 256, 269, 3619, 547, 1357, 21935, 321, 12118, 585, 1142, 552, 580, 839, 10628, 547, 581, 9647, 517, 5436, 269, 15531, 661, 3394, 335, 4202, 630, 293, 9548, 5937, 7645, 8865, 264, 634, 3804, 568, 547, 19509, 526, 1169, 22185, 18494, 543, 1169, 7222, 1875, 14706, 6152, 642, 17598, 700, 17635, 264, 815, 18494, 341, 630, 278, 269, 272, 264, 1141, 700, 568, 930, 5276, 7004, 269, 8074, 602, 713, 3830, 568, 4625, 6697, 547, 519, 292, 580, 839, 10628, 568, 519, 12732, 540, 513, 1305, 540, 14802, 27523, 269, 1452, 10321, 5330, 547, 835, 14802, 7407, 269, 1924, 267, 606, 552, 580, 839, 10628, 2141, 7851, 547, 513, 6378, 14802, 7407, 269, 898, 568, 849, 513, 1016, 11898, 540, 519, 3312 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5149, 476, 277, 281, 5651, 1275, 543, 15979, 538, 590, 836, 600, 9085, 692, 7072, 912, 2026, 649, 5490, 883, 519, 3638, 13795, 540, 1480, 1686, 267, 835, 3112, 948, 855, 581, 26970, 676, 519, 6946, 6386, 18955, 998, 942, 269, 7324, 891, 12225, 2873, 6013, 519, 4241, 1158, 540, 590, 836, 600, 9085, 267, 513, 4015, 540, 5931, 688, 4979, 689, 3504, 8828, 3127, 267, 4481, 519, 3148, 1631, 1634, 607, 20474, 24385, 340, 269, 1452, 1568, 2709, 721, 513, 19214, 883, 519, 2729, 267, 2418, 267, 543, 4978, 540, 1004, 945, 5030, 5215, 540, 1296, 3516, 282, 789, 849, 1683, 15417, 2666, 585, 3695, 15851, 2055, 7282, 13919, 543, 7881, 269, 1215, 1705, 891, 2038, 2950, 20920, 609, 971, 1950, 2152, 286, 1548, 4245, 1522, 741, 2833, 3180, 585, 938, 2413, 2486, 286, 3414, 2502, 609, 519, 2984, 543, 10752, 1336, 1369, 590, 836, 600, 9085, 267, 649, 786, 3343, 4267, 547, 891, 2055, 1247, 29947, 938, 7071, 585, 3309, 2686, 5389, 780, 296, 269, 20223, 5651, 1275, 543, 15979, 538, 12745, 692, 2414, 2253, 938, 3460, 267, 1577, 781, 3715, 2324, 8847, 585, 13919, 543, 7881, 1369, 519, 2796, 540, 590, 836, 600, 9085, 269, 5651, 1275, 4016, 547, 519, 3741, 543, 4441, 602, 1827, 1318, 543, 4636, 2623, 1369, 513, 1880, 2146, 610, 2528, 269, 898, 13315, 6848, 8155, 267, 9821, 267, 543, 6788, 3823, 1367, 2932, 269, 1635, 4334, 267, 7881, 20301, 513, 811, 10952, 6514, 540, 5837, 3741, 543, 2418, 267, 1419, 5473, 7493, 7744, 543, 2565, 8086, 2390, 519, 2470, 543, 3483, 540, 6228, 3294, 780, 2862, 269, 10289, 519, 10417, 540, 20144, 12609, 692, 4263, 922, 4295, 267, 1454, 540, 1018, 13054, 13919, 543, 7881, 538, 590, 836, 600, 9085, 25856, 1472, 519, 1523, 540, 546, 327, 12609, 269, 14216, 1882, 689, 966, 14037, 6138, 267, 546, 327, 12609, 19752, 835, 781, 10279, 610, 5539, 2509, 13951, 267, 1866, 267, 543, 519, 17184, 1931, 269, 2755, 4749, 12261, 607, 834, 2431, 15667, 1145, 2437, 546, 327, 12609, 25186, 6071, 15984, 547, 3652, 610, 4031, 282, 3079, 267, 621, 11363, 2713, 32069, 609, 782, 3344, 540, 5137, 267, 3976, 5807, 3666, 543, 9322, 1851, 2043, 543, 2066, 7239, 780, 7656, 269, 15552, 1143, 267, 4406, 528, 267, 543, 8682, 16531, 692, 3080, 18596, 6249, 2429, 590, 836, 600, 9085, 3322, 8941, 540, 5869, 1143, 267, 27089, 267, 543, 1582, 16531, 1765, 10177, 1080, 3810, 22644, 539, 676, 3504, 23111, 2812, 269, 1280, 1383, 267, 1082, 3134, 923, 8661, 21847, 945, 2482, 1524, 741, 2729, 585, 519, 3152, 1434, 267, 18220, 532, 16431, 971, 607, 14017, 267, 10100, 267, 543, 8956, 269, 6270, 2984, 20838, 519, 2956, 540, 11093, 18497, 10304, 1657, 2123, 2744, 267, 7551, 17923, 5683, 28975, 3844, 547, 4509, 1514, 10103, 780, 4353, 269, 3281, 6842, 543, 27919, 692, 26589, 2515, 24123, 23339, 267, 7215, 540, 8296, 543, 6568, 32736, 1369, 590, 836, 600, 9085, 269, 31888, 970, 565, 21644, 899, 11587, 267, 28908, 267, 543, 9639, 267, 11021, 602, 9758, 6161, 585, 1866, 262, 8171, 3029, 606, 1898, 5057, 540, 5837, 1915, 269, 5047, 267, 3197, 22991, 13720, 14488, 609, 6043, 543, 11419, 267, 11121, 3988, 547, 11349, 2147, 7907, 538, 741, 1378, 2729, 780, 309, 269, 7025, 19731, 13734, 692, 26123, 23111, 2812, 4371, 7096, 2463, 585, 2470, 267, 13156, 2933, 607, 7533, 2694, 540, 513, 5318, 10562, 1357, 540, 1272, 269, 22353, 267, 3875, 5931, 2992, 4145, 827, 2825, 19642, 267, 28409, 3425, 547, 25500, 21066, 2390, 3047, 543, 8190, 922, 10347, 11466, 269, 1306, 4207, 2591, 899, 2916, 1689, 21279, 2518, 6617, 267, 4030, 29742, 539, 689, 590, 836, 600, 9085, 949, 6961, 3226, 32330, 267, 22348, 721, 540, 938, 3838, 5539, 547, 2149, 543, 10027, 880, 938, 4541, 585, 2104, 5481, 780, 9654, 269, 23889, 7073, 21126, 692, 1103, 2221, 781, 6385, 4657, 1158, 267, 20460, 1746, 3504, 7326, 3091, 3407, 3255, 585, 26126, 543, 2208, 269, 1635, 6313, 875, 2250, 12977, 12066, 1194, 609, 2055, 540, 13919, 543, 7881, 267, 649, 1796, 547, 1451, 1454, 827, 6000, 543, 938, 1747, 1369, 6626, 3140, 24551, 269, 5015, 267, 9301, 1455, 16060, 16046, 9583, 19635, 4529, 666, 6536, 6568, 543, 3444, 14426, 1620, 267, 22338, 519, 1259, 4724, 513, 811, 8537, 267, 12581, 2518, 2486, 780, 6962, 1384, 7437, 21599, 538, 519, 7524, 1158, 540, 590, 836, 600, 9085, 267, 649, 723, 8268, 1585, 18125, 540, 13919, 543, 7881, 607, 28955, 998, 6805, 3909, 5389, 269, 3245, 14719, 908, 519, 4644, 540, 546, 327, 12609, 547, 19825, 7215, 540, 8296, 543, 2825, 4656, 267, 649, 723, 11402, 11972, 4798, 602, 3136, 547, 13469, 2066, 942, 543, 2230, 269, 11086, 267, 6278, 609, 971, 2326, 7512, 721, 711, 1152, 547, 15052, 938, 1702, 540, 3309, 2686, 2853, 855, 849, 547, 9691, 4983, 938, 1378, 10054, 543, 2418, 267, 18136, 6209, 5188, 543, 7004, 2059, 519, 1259, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 594, 3008, 19369, 454, 268, 772, 28903, 19369, 15613, 454, 268, 590, 836, 600, 9085, 454, 306, 836, 600, 9085, 910, 772, 28903, 9147, 4095, 3778, 630, 9209, 1299, 9177, 994, 306, 836, 600, 3332, 568, 519, 2012, 2016, 547, 519, 9998, 2139, 20474, 3332, 269, 634, 590, 836, 600, 2085, 10199, 11498, 1063, 476, 4968, 7460, 543, 476, 4968, 5084, 24682, 4352, 1034, 540, 519, 960, 568, 5156, 547, 723, 1044, 7768, 1063, 476, 1911, 9460, 543, 476, 7742, 9460, 563, 763, 2262, 2048, 306, 836, 600, 685, 12777, 1797, 7681, 269, 3371, 267, 621, 10522, 606, 7681, 540, 20474, 15023, 602, 25577, 538, 3504, 7013, 3127, 269, 634, 9147, 20474, 590, 1342, 9618, 3397, 7360, 541, 568, 12926, 5156, 547, 723, 669, 8529, 519, 1101, 20474, 590, 836, 600, 538, 8496, 29718, 269, 901, 1974, 568, 1634, 607, 519, 590, 836, 600, 11270, 1547, 634, 1614, 8783, 20474, 25267, 540, 713, 1974, 941, 519, 22216, 553, 267, 519, 932, 15614, 543, 519, 17455, 344, 553, 563, 763, 2165, 590, 836, 600, 729, 22579, 676, 2663, 5640, 269, 769, 713, 2376, 267, 596, 666, 1224, 4143, 1344, 827, 590, 836, 600, 9085, 585, 519, 594, 3008, 11929, 1547, 769, 2698, 267, 972, 616, 827, 476, 15996, 271, 9954, 602, 616, 30289, 547, 476, 5325, 274, 15023, 563, 306, 836, 600, 9085, 1107, 772, 28903, 9147, 4095, 3778, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29409, 1275, 543, 15979, 257, 607, 851, 540, 834, 32628, 1315, 7087, 1315, 4937, 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, 279, 281, 6611, 16709, 910, 634, 15937, 13571, 1512, 538, 19565, 27140, 18753, 26358, 692, 1103, 713, 3184, 267, 649, 786, 7832, 2390, 606, 9058, 3460, 998, 519, 5318, 1163, 534, 572, 540, 2230, 267, 18167, 883, 519, 10578, 2361, 540, 2230, 3408, 607, 13269, 538, 14676, 543, 8642, 9089, 269, 1284, 786, 4983, 519, 3140, 2796, 602, 814, 8032, 938, 22906, 609, 3695, 519, 26355, 267, 5659, 1713, 19325, 6913, 3976, 2484, 267, 543, 1865, 6932, 4066, 543, 2104, 13485, 26405, 547, 28196, 710, 938, 1620, 540, 519, 7122, 269, 5015, 267, 649, 786, 8495, 875, 891, 3621, 7760, 616, 954, 342, 8576, 1369, 4207, 2486, 267, 12018, 1585, 3344, 971, 607, 1402, 2528, 543, 2069, 780, 4089, 476, 279, 269, 272, 281, 8466, 12745, 540, 6611, 16709, 538, 22383, 543, 18753, 26358, 692, 763, 1523, 540, 2230, 2951, 814, 1279, 26970, 519, 8186, 540, 1453, 543, 4079, 7567, 267, 10489, 2056, 5481, 543, 4529, 269, 1306, 2038, 607, 519, 4571, 2389, 342, 12351, 2540, 267, 13371, 2835, 543, 8642, 9089, 3459, 6220, 2984, 10704, 1472, 2230, 3408, 267, 1419, 7674, 607, 14336, 1559, 10452, 6848, 2418, 543, 4145, 1282, 1346, 2053, 269, 1280, 3236, 267, 10643, 899, 834, 1805, 9792, 24601, 2437, 3370, 676, 9823, 22383, 538, 519, 476, 4198, 271, 338, 267, 12286, 8941, 540, 20691, 25884, 31373, 14111, 1272, 3029, 1247, 10188, 17946, 14975, 11182, 3564, 3047, 781, 5790, 269, 1452, 6386, 4847, 3988, 547, 2263, 1950, 4798, 971, 607, 4250, 540, 519, 7164, 267, 12019, 2782, 13253, 267, 543, 8103, 781, 17916, 7287, 585, 6602, 780, 2026, 519, 6611, 6520, 546, 1177, 2740, 267, 13371, 1433, 15888, 1336, 17105, 6667, 538, 4890, 2621, 11200, 532, 1354, 741, 4064, 269, 8331, 781, 21011, 1982, 267, 799, 19411, 730, 538, 519, 8978, 7599, 13941, 538, 476, 3422, 280, 267, 6039, 607, 15417, 2666, 585, 19511, 9423, 269, 769, 3210, 267, 31733, 22383, 5189, 3197, 899, 18279, 3013, 543, 519, 2997, 12310, 21679, 609, 2152, 1644, 547, 2230, 2951, 543, 9813, 13341, 269, 1230, 9690, 569, 267, 4830, 21101, 849, 8329, 547, 713, 24567, 9135, 267, 6721, 1568, 602, 7604, 1078, 3309, 5380, 543, 5499, 3308, 6163, 780, 4089, 476, 279, 269, 273, 281, 31056, 6660, 16893, 538, 6611, 16709, 692, 9961, 519, 2250, 3670, 5756, 267, 3875, 19325, 723, 1044, 6603, 538, 519, 7706, 540, 2230, 3408, 267, 1082, 540, 799, 723, 1044, 5312, 1194, 1369, 519, 3817, 540, 14676, 543, 8642, 9089, 269, 2368, 8037, 10781, 1331, 1384, 265, 5239, 476, 275, 267, 476, 4198, 278, 281, 634, 8168, 5742, 31782, 590, 1584, 23364, 476, 272, 267, 4742, 519, 1101, 5841, 9682, 547, 10739, 3047, 269, 901, 2680, 6825, 519, 4098, 540, 519, 6611, 17813, 1063, 519, 2136, 2276, 543, 519, 8168, 5742, 563, 265, 4989, 476, 1321, 267, 476, 3422, 272, 281, 6739, 5430, 3000, 2246, 962, 19441, 717, 698, 18288, 3587, 519, 1101, 1480, 547, 14679, 883, 9018, 2230, 20829, 966, 739, 758, 476, 272, 563, 265, 5988, 476, 736, 267, 476, 3422, 273, 281, 1977, 16106, 3627, 3794, 3317, 25057, 3047, 1614, 2053, 20829, 14886, 1222, 476, 278, 267, 1818, 1864, 519, 1101, 1977, 547, 798, 865, 563, 265, 5147, 476, 736, 267, 476, 3422, 280, 281, 21011, 476, 1556, 5692, 6707, 3338, 20691, 29484, 28226, 543, 11370, 3960, 25548, 12541, 593, 519, 16264, 2627, 267, 609, 28226, 28020, 30418, 834, 6546, 781, 835, 1507, 1900, 585, 812, 267, 835, 9649, 20014, 585, 18495, 4799, 265, 4989, 476, 866, 267, 476, 3192, 272, 281, 634, 8168, 5742, 632, 17558, 590, 3315, 583, 476, 272, 267, 519, 1158, 781, 1101, 2230, 6728, 563, 265, 4989, 476, 1321, 267, 476, 2735, 272, 281, 8331, 31782, 519, 1101, 23431, 14361, 267, 519, 6611, 1744, 583, 1479, 12052, 267, 27510, 513, 3126, 540, 13485, 602, 1131, 12732, 936, 13977, 1296, 563, 265, 5437, 476, 273, 267, 476, 1220, 271, 281, 634, 4139, 6611, 13749, 630, 3041, 306, 1070, 513, 10319, 1788, 5473, 2789, 6082, 267, 5956, 6024, 3110, 2787, 780, 4322, 26832, 18517, 4196, 607, 1312, 2707, 1570, 543, 21044, 1394, 323, 28979, 585, 9118, 13371, 1433, 6386, 267, 3850, 5830, 543, 5159, 547, 4497, 3988, 538, 5717, 4478, 6639, 5647, 267, 3486, 9316, 267, 543, 8103, 781, 2781, 553, 6804, 1391, 585, 1702, 780, 4089, 476, 279, 269, 274, 281, 24021, 16370, 543, 8892, 631, 3827, 692, 308, 526, 523, 22239, 267, 2230, 3408, 3788, 606, 2479, 21608, 9015, 9141, 676, 5969, 12967, 2029, 543, 5075, 776, 6859, 269, 17497, 267, 1896, 16529, 3785, 616, 25093, 267, 9621, 13778, 4030, 883, 519, 13655, 540, 519, 26355, 269, 7324, 891, 7341, 616, 1384, 265, 6276, 30197, 6611, 23571, 630, 297, 310, 4306, 2567, 590, 3836, 585, 10131, 538, 476, 1708, 272, 267, 808, 310, 4306, 4564, 519, 1034, 4359, 2616, 2218, 2479, 9112, 269, 4706, 3119, 11604, 3800, 476, 277, 269, 276, 7397, 538, 8006, 1765, 333, 22022, 1614, 2053, 3677, 982, 26931, 781, 11652, 13333, 5097, 538, 18342, 20966, 267, 7175, 621, 547, 16785, 4514, 883, 519, 7122, 781, 1686, 982, 1022, 3105, 6293, 563, 265, 3203, 28087, 5358, 281, 4325, 541, 20243, 676, 8331, 267, 713, 20089, 6663, 547, 2132, 3425, 547, 519, 9855, 676, 476, 1708, 275, 267, 9591, 4264, 16264, 3408, 7207, 543, 22338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5001, 269, 18831, 1590, 1020, 519, 3656, 543, 9431, 6127, 267, 2168, 5989, 267, 1480, 2200, 267, 543, 2645, 543, 3157, 2556, 547, 2327, 602, 782, 594, 16281, 630, 1220, 276, 264, 13800, 666, 581, 1558, 267, 782, 519, 1259, 1524, 547, 519, 2146, 1377, 269, 901, 7569, 1279, 3856, 9316, 2066, 10459, 543, 9922, 269, 634, 15428, 6042, 9411, 883, 3196, 538, 476, 1220, 278, 267, 4098, 513, 1079, 4458, 4058, 5123, 4553, 676, 513, 1614, 4458, 6388, 1974, 269, 630, 301, 725, 949, 7662, 909, 547, 1079, 476, 273, 4458, 24909, 952, 789, 2887, 2110, 540, 519, 476, 1001, 273, 21120, 585, 10220, 8094, 19465, 2518, 1072, 3354, 693, 1753, 543, 13383, 454, 763, 772, 2529, 269, 18005, 7608, 519, 594, 16281, 630, 1220, 276, 264, 593, 476, 274, 5412, 476, 1220, 277, 998, 606, 15445, 15716, 676, 519, 5518, 269, 715, 31106, 8549, 8041, 267, 3366, 676, 519, 4972, 540, 2657, 543, 5274, 7896, 630, 295, 9391, 1070, 5249, 609, 519, 6519, 5600, 547, 4739, 519, 772, 2529, 269, 2990, 1282, 519, 594, 16281, 14469, 1184, 269, 23225, 518, 1404, 3742, 5107, 538, 7598, 519, 6042, 269, 634, 670, 9391, 19608, 14199, 585, 16721, 1563, 1145, 543, 15863, 630, 3008, 11266, 264, 5012, 891, 3646, 267, 25640, 519, 2689, 267, 4879, 267, 543, 31015, 540, 1761, 1857, 1072, 2621, 543, 5009, 6469, 6388, 543, 10220, 269, 772, 2529, 269, 2068, 7020, 543, 3210, 7207, 7048, 8185, 593, 1533, 543, 2199, 1857, 1072, 19206, 269, 18058, 1063, 519, 1533, 543, 8549, 2157, 543, 2066, 9922, 3788, 513, 3978, 4161, 269, 6736, 891, 21064, 2591, 267, 519, 772, 2529, 269, 568, 3622, 10924, 547, 581, 1134, 1369, 519, 4170, 585, 594, 16281, 630, 1220, 276, 264, 10220, 563, 763, 19773, 568, 1447, 887, 1910, 538, 824, 4525, 269, 634, 594, 16281, 630, 1220, 276, 264, 5943, 17648, 602, 2477, 786, 1628, 741, 3084, 1857, 1072, 13178, 543, 3210, 19206, 593, 519, 13210, 540, 6198, 1072, 1949, 269, 3509, 4617, 2829, 2887, 2110, 540, 713, 32563, 267, 543, 513, 3677, 1297, 540, 1970, 543, 1647, 4747, 2829, 3068, 1151, 15344, 855, 3978, 10616, 269, 634, 593, 639, 568, 593, 3084, 1857, 1072, 3401, 547, 5581, 875, 789, 786, 2936, 519, 6042, 267, 543, 547, 1265, 519, 2556, 2200, 269, 634, 594, 16281, 630, 1220, 276, 264, 2813, 1100, 6101, 8804, 7271, 547, 1489, 6388, 269, 634, 9165, 540, 4390, 20671, 543, 519, 3668, 540, 3989, 14573, 1459, 513, 844, 663, 776, 585, 22881, 945, 616, 7334, 827, 1018, 621, 1522, 1611, 547, 948, 7649, 6082, 2508, 594, 16281, 10220, 563, 763, 2518, 2068, 7020, 543, 3210, 3060, 568, 1152, 607, 2178, 607, 519, 4617, 652, 3095, 269, 9137, 476, 4510, 540, 519, 15428, 6042, 7512, 2829, 547, 12840, 968, 1729, 519, 6708, 2009, 892, 538, 16326, 543, 14775, 547, 1072, 16839, 267, 543, 538, 4687, 2930, 267, 2845, 6750, 267, 2883, 267, 543, 3656, 1489, 547, 948, 824, 2829, 2936, 519, 594, 16281, 630, 1220, 276, 1040, 1306, 519, 4102, 24845, 20033, 540, 1072, 6351, 267, 772, 2529, 269, 5718, 543, 9021, 538, 713, 1858, 616, 840, 655, 5799, 269, 634, 772, 2529, 269, 5063, 15748, 513, 811, 7347, 5188, 1851, 2829, 693, 1585, 2157, 540, 2804, 1646, 267, 609, 519, 10700, 3804, 540, 14237, 594, 16281, 630, 1220, 276, 264, 4390, 20671, 12352, 563, 2704, 793, 532, 2199, 1857, 1072, 543, 2518, 1979, 846, 2579, 14422, 454, 6624, 2477, 723, 13175, 547, 1902, 538, 2178, 1072, 1949, 693, 1753, 543, 13383, 269, 4039, 4192, 1857, 1072, 13178, 6013, 693, 519, 5748, 540, 3608, 1072, 1949, 267, 543, 693, 519, 4295, 540, 519, 594, 16281, 630, 1220, 276, 1040, 634, 594, 16281, 5943, 3091, 519, 2518, 1072, 2146, 513, 10959, 585, 18756, 4390, 20671, 3646, 602, 1628, 2199, 7207, 585, 2963, 2861, 1072, 4507, 543, 12927, 3800, 547, 2061, 6923, 267, 18417, 267, 610, 20982, 5950, 5563, 689, 10825, 18368, 563, 1607, 568, 1100, 10018, 540, 1279, 3856, 1967, 269, 634, 594, 16281, 2047, 5905, 593, 20833, 9901, 2152, 689, 1367, 2924, 547, 1533, 16285, 269, 634, 3656, 23626, 540, 519, 15428, 6042, 949, 581, 513, 1907, 547, 7668, 1072, 26110, 1369, 741, 1378, 6608, 267, 855, 666, 849, 581, 9228, 607, 606, 4652, 24962, 23626, 593, 6082, 609, 824, 1072, 14422, 269, 8490, 519, 2556, 19206, 786, 2154, 13455, 7029, 689, 3084, 3401, 3330, 543, 3564, 519, 1072, 5823, 267, 607, 1134, 607, 5812, 7616, 936, 519, 1279, 3856, 563, 308, 2529, 269, 8041, 1107, 1256, 1346, 602, 723, 7722, 538, 4390, 20671, 585, 5756, 1107, 786, 2154, 1007, 2994, 547, 2268, 3356, 538, 2679, 2518, 2068, 7020, 543, 3210, 7207, 269, 901, 2882, 513, 2898, 6361, 3766, 17922, 6351, 4640, 602, 9397, 1524, 1982, 15122, 521, 3342, 1851, 3354, 267, 2257, 267, 543, 1072, 11051, 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 ]
[ 0, 3698, 5258, 318, 2421, 318, 272, 15461, 318, 736, 16325, 2187, 825, 585, 1775, 538, 2039, 263, 272, 267, 476, 2641, 2187, 1038, 952, 1003, 4939, 1775, 11203, 476, 271, 912, 2018, 2132, 8771, 454, 825, 2132, 6936, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 1003, 815, 476, 736, 454, 825, 1247, 263, 12148, 2187, 1038, 952, 5258, 318, 2421, 318, 272, 15461, 318, 736, 16325, 2187, 2018, 1820, 16325, 994, 2018, 2736, 454, 1038, 1003, 6834, 476, 736, 454, 0, 5228, 2979, 1104, 21762, 454, 5228, 3070, 318, 2641, 1104, 2040, 15058, 5091, 643, 30583, 692, 258, 4414, 1495, 656, 2338, 1590, 581, 1256, 267, 2094, 3900, 762, 9642, 2338, 616, 2901, 6305, 284, 2254, 705, 706, 526, 656, 2676, 258, 610, 930, 1617, 540, 513, 6305, 284, 2254, 2614, 547, 1831, 32118, 780, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 10790, 311, 318, 301, 9331, 21612, 815, 476, 27005, 2190, 692, 825, 782, 318, 1492, 318, 629, 1495, 1218, 815, 32582, 476, 1948, 3399, 338, 609, 1100, 2338, 538, 621, 855, 9428, 454, 825, 568, 318, 527, 19963, 23544, 15058, 4671, 6851, 318, 629, 1495, 1218, 815, 1496, 16178, 585, 9041, 538, 2039, 263, 272, 267, 10790, 311, 318, 301, 9331, 21612, 13580, 476, 1948, 1280, 1535, 267, 621, 781, 1747, 538, 519, 5044, 786, 581, 1535, 268, 272, 692, 825, 585, 1535, 538, 2039, 263, 1321, 267, 10790, 311, 318, 301, 9331, 21612, 2187, 1038, 952, 2040, 15058, 5091, 1204, 832, 3287, 264, 3436, 1535, 912, 2018, 782, 318, 1492, 318, 629, 1495, 1218, 6910, 3287, 2020, 825, 585, 1535, 538, 2039, 263, 271, 267, 782, 318, 1492, 318, 629, 1495, 1218, 14857, 6352, 1029, 3890, 2187, 1038, 585, 586, 538, 2039, 263, 271, 267, 782, 318, 1492, 318, 629, 1495, 1218, 14857, 6352, 1029, 3890, 2187, 2018, 705, 11459, 815, 782, 318, 1492, 318, 629, 1495, 1218, 20572, 2639, 2018, 705, 11276, 815, 782, 318, 1492, 318, 629, 1495, 1218, 314, 344, 2639, 2018, 952, 705, 11459, 1341, 705, 11276, 2999, 10790, 311, 318, 301, 9331, 21612, 912, 3546, 568, 318, 527, 19963, 23544, 15058, 4671, 6851, 318, 629, 1495, 1218, 314, 629, 11459, 266, 629, 11276, 268, 272, 316, 815, 6936, 454, 2018, 3116, 912, 3546, 2736, 692, 825, 2040, 815, 476, 271, 454, 825, 585, 1535, 538, 2039, 263, 271, 267, 10790, 311, 318, 301, 9331, 21612, 268, 272, 2187, 1038, 952, 711, 568, 318, 527, 19963, 23544, 15058, 4671, 6851, 318, 629, 1495, 1218, 20572, 14158, 2018, 2040, 6834, 1535, 266, 272, 692, 825, 1820, 4433, 636, 994, 0, 5814, 2979, 7531, 3698, 568, 7272, 550, 21192, 20311, 28840, 2187, 825, 2132, 630, 4118, 28460, 263, 2190, 265, 15893, 1341, 476, 272, 264, 1341, 476, 272, 264, 4939, 476, 277, 2652, 476, 271, 7531, 3698, 3017, 10734, 15277, 7272, 550, 21192, 5332, 13246, 263, 6570, 19553, 267, 2990, 17624, 2187, 825, 2040, 15058, 318, 935, 5913, 5737, 5091, 858, 3720, 815, 476, 271, 454, 825, 1699, 5091, 29924, 815, 476, 274, 265, 6570, 19553, 1341, 476, 272, 454, 825, 585, 1775, 538, 2039, 263, 6570, 19553, 266, 272, 267, 2990, 17624, 266, 272, 2187, 1038, 2040, 15058, 318, 935, 5913, 5737, 5091, 858, 3720, 6834, 1699, 5091, 29924, 454, 1038, 1699, 5091, 29924, 6834, 476, 274, 454, 825, 2132, 2040, 15058, 318, 935, 5913, 5737, 5091, 858, 3720, 7531, 3698, 2040, 15058, 7272, 550, 21192, 5332, 13246, 263, 6570, 19553, 267, 2990, 17624, 2187, 825, 2132, 703, 9230, 6570, 19553, 2608, 630, 274, 265, 6570, 19553, 910, 476, 272, 4297, 270, 273, 1341, 630, 6570, 17624, 2608, 630, 274, 265, 6570, 17624, 910, 476, 272, 4297, 270, 273, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1439, 815, 476, 273, 454, 825, 1336, 4671, 6851, 7272, 550, 21192, 5332, 13246, 815, 8771, 454, 825, 1247, 711, 1336, 4671, 6851, 7272, 550, 21192, 5332, 13246, 912, 1038, 585, 1376, 538, 2039, 263, 754, 268, 272, 267, 476, 271, 267, 910, 272, 2187, 2018, 1820, 263, 11034, 267, 1439, 994, 2018, 2040, 815, 2040, 15058, 7272, 550, 21192, 5332, 13246, 263, 11034, 267, 1439, 994, 2018, 886, 815, 3017, 10734, 15277, 7272, 550, 21192, 5332, 13246, 263, 11034, 267, 1439, 994, 2018, 952, 568, 7272, 550, 21192, 20311, 4433, 636, 264, 543, 568, 7272, 550, 21192, 20311, 5560, 858, 2187, 3546, 1820, 263, 11034, 267, 1439, 267, 886, 267, 2040, 264, 476, 1948, 634, 2626, 568, 519, 886, 454, 3546, 1336, 4671, 6851, 7272, 550, 21192, 5332, 13246, 815, 6936, 454, 3546, 2736, 454, 1038, 1439, 6834, 476, 272, 692, 825, 1948, 6271, 3070, 594, 1336, 602, 5654, 1434, 538, 1250, 6644, 912, 825, 1948, 585, 562, 538, 2039, 263, 4335, 271, 267, 476, 272, 267, 910, 272, 2187, 825, 1948, 672, 585, 544, 538, 2039, 263, 272, 267, 562, 2187, 825, 1948, 1363, 678, 815, 630, 272, 1341, 2979, 28460, 263, 3607, 2608, 630, 333, 2878, 476, 273, 1341, 544, 2878, 476, 273, 264, 910, 476, 1321, 2608, 630, 332, 1341, 562, 264, 1341, 476, 272, 4297, 1315, 476, 277, 454, 825, 1948, 1363, 7117, 815, 630, 272, 1341, 2979, 28460, 263, 3607, 2608, 630, 333, 2878, 476, 273, 910, 544, 2878, 476, 273, 264, 1341, 476, 1321, 2608, 630, 332, 910, 562, 264, 1341, 476, 272, 4297, 1315, 476, 277, 454, 825, 1948, 1363, 952, 678, 18994, 318, 15759, 518, 3890, 543, 7117, 18994, 318, 15759, 518, 10031, 825, 1948, 17264, 1820, 2891, 291, 568, 2580, 630, 336, 2608, 630, 274, 2608, 7117, 910, 476, 272, 4297, 1315, 476, 273, 267, 834, 1080, 519, 2580, 7117, 2676, 825, 1948, 4449, 567, 834, 628, 2165, 593, 519, 1592, 543, 922, 519, 3017, 581, 342, 339, 1048, 2580, 562, 267, 834, 628, 2165, 543, 2580, 544, 267, 834, 628, 2165, 15419, 0, 5228, 3070, 318, 274, 1104, 2638, 318, 604, 318, 18905, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2179, 15058, 318, 1440, 1307, 815, 476, 271, 454, 825, 2179, 15058, 5332, 13246, 815, 476, 272, 454, 825, 1297, 6831, 3300, 815, 476, 272, 454, 825, 8953, 815, 476, 274, 454, 825, 1247, 6936, 912, 1038, 585, 1775, 538, 2039, 263, 271, 267, 476, 275, 2187, 2018, 1297, 6831, 3300, 6834, 8953, 910, 476, 272, 454, 2018, 952, 2638, 318, 604, 318, 18905, 28840, 6831, 3300, 2187, 3546, 2179, 15058, 318, 1440, 1307, 6834, 476, 272, 454, 2018, 2179, 15058, 5332, 13246, 6834, 476, 272, 454, 1038, 952, 10581, 263, 26920, 15058, 318, 1440, 1307, 264, 1315, 10581, 263, 26920, 15058, 5332, 13246, 264, 2999, 476, 271, 269, 272, 912, 2018, 2736, 454, 1038, 8953, 6834, 476, 273, 454, 825, 1820, 263, 31709, 994, 825, 1820, 263, 26920, 15058, 318, 1440, 1307, 267, 2179, 15058, 5332, 13246, 264, 0, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 1219, 2990, 318, 12898, 318, 32061, 20311, 263, 11034, 532, 318, 6570, 267, 1003, 2187, 1038, 2132, 4358, 318, 6570, 1341, 7003, 19304, 16325, 11723, 825, 1219, 1007, 318, 6570, 318, 663, 7272, 23035, 5091, 13424, 263, 11034, 532, 318, 6570, 267, 1003, 15461, 318, 5417, 267, 7857, 318, 6570, 15461, 318, 13765, 2187, 1038, 1007, 318, 6570, 815, 2990, 318, 12898, 318, 32061, 20311, 263, 11034, 532, 318, 6570, 267, 1003, 15461, 318, 5417, 994, 1038, 10917, 5091, 13424, 815, 7183, 454, 1038, 952, 1007, 318, 6570, 13843, 7857, 318, 6570, 15461, 318, 13765, 912, 2018, 10917, 5091, 13424, 815, 703, 19304, 16325, 15461, 318, 5417, 264, 15631, 263, 2908, 318, 6570, 910, 7857, 318, 6570, 15461, 318, 13765, 1341, 476, 272, 264, 7481, 1038, 2132, 1007, 318, 6570, 267, 10917, 5091, 13424, 692, 825, 1219, 1205, 8548, 738, 328, 6473, 15058, 5091, 580, 1080, 18425, 318, 21752, 5560, 13424, 318, 21752, 2187, 1038, 7857, 318, 21752, 815, 15044, 5560, 13424, 318, 21752, 994, 1038, 2990, 815, 476, 271, 454, 1038, 1297, 15461, 318, 5417, 815, 476, 272, 454, 1038, 1699, 318, 6570, 15461, 6958, 785, 6831, 3300, 815, 476, 271, 454, 1038, 1617, 15058, 6958, 895, 5091, 580, 1080, 815, 476, 272, 454, 1038, 1247, 1699, 318, 6570, 15461, 6958, 785, 6831, 3300, 2999, 7003, 5560, 13424, 318, 21752, 2187, 2018, 2990, 267, 6148, 19963, 5091, 13424, 815, 1007, 318, 6570, 318, 663, 7272, 23035, 5091, 13424, 263, 6570, 267, 1297, 15461, 318, 5417, 267, 7857, 318, 21752, 314, 9690, 318, 6570, 15461, 6958, 785, 6831, 3300, 7481, 2018, 952, 6148, 19963, 5091, 13424, 912, 3546, 1617, 15058, 6958, 895, 5091, 580, 1080, 2608, 284, 6148, 19963, 5091, 13424, 454, 3546, 1699, 318, 6570, 15461, 6958, 785, 6831, 3300, 6834, 476, 272, 454, 2018, 1297, 15461, 318, 5417, 6834, 476, 272, 454, 1038, 2132, 1617, 15058, 6958, 895, 5091, 580, 1080, 7531, 825, 1820, 263, 1326, 8548, 738, 328, 6473, 15058, 5091, 580, 1080, 18425, 318, 21752, 8443, 272, 267, 476, 1015, 267, 476, 1911, 267, 476, 1911, 271, 267, 476, 1911, 876, 267, 476, 1911, 1822, 267, 476, 1911, 1822, 271, 28413, 0, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1101, 20311, 815, 476, 272, 454, 825, 2034, 20311, 815, 476, 272, 454, 825, 1985, 20311, 815, 476, 271, 454, 825, 4017, 20906, 318, 2897, 815, 476, 273, 692, 825, 1247, 7003, 19304, 263, 10113, 20311, 4297, 2999, 476, 1911, 271, 912, 1038, 1985, 20311, 815, 1101, 20311, 1341, 2034, 20311, 454, 1038, 4017, 20906, 318, 2897, 6834, 476, 272, 454, 1038, 1101, 20311, 815, 2034, 20311, 454, 1038, 2034, 20311, 815, 1985, 20311, 692, 825, 1820, 6600, 756, 20906, 318, 2897, 994, 0, 5228, 3070, 318, 1428, 1104, 1249, 454, 5228, 3070, 318, 2190, 1104, 1205, 318, 1492, 318, 11279, 16615, 18425, 318, 2897, 15058, 7531, 14140, 26000, 1597, 318, 1440, 1307, 815, 1496, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 1556, 267, 476, 1724, 267, 476, 1704, 6540, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1219, 1101, 318, 22764, 5091, 580, 1080, 318, 553, 20311, 28840, 267, 4358, 318, 6570, 2187, 1038, 1948, 4358, 2990, 6238, 693, 476, 271, 454, 1038, 2132, 703, 19304, 28840, 25011, 11034, 532, 318, 6570, 281, 11034, 532, 318, 6570, 266, 274, 20285, 825, 2040, 15058, 5332, 13246, 318, 5976, 318, 1492, 318, 27393, 1399, 815, 476, 271, 454, 825, 585, 7989, 538, 2039, 263, 271, 267, 1249, 263, 1015, 15892, 1038, 1699, 7272, 663, 580, 1388, 20311, 318, 553, 23952, 815, 1205, 318, 1492, 318, 11279, 16615, 18425, 318, 2897, 15058, 263, 11279, 267, 22373, 271, 2580, 834, 272, 2580, 834, 273, 2580, 834, 274, 2580, 834, 275, 2580, 834, 276, 2580, 834, 277, 2580, 834, 278, 2580, 834, 279, 2580, 834, 280, 257, 7481, 1038, 1948, 11938, 910, 5258, 676, 476, 276, 454, 1038, 952, 1699, 7272, 663, 580, 1388, 20311, 318, 553, 23952, 314, 276, 316, 11203, 834, 276, 13426, 2018, 3136, 454, 1038, 1699, 7272, 663, 580, 1388, 318, 13757, 5334, 889, 11415, 5091, 643, 529, 2225, 318, 27393, 1399, 815, 6936, 454, 1038, 585, 1064, 538, 2039, 263, 273, 267, 476, 280, 2187, 2018, 952, 1101, 318, 22764, 5091, 580, 1080, 318, 553, 20311, 263, 9690, 7272, 663, 580, 1388, 20311, 318, 553, 23952, 267, 1064, 910, 476, 272, 264, 4939, 1101, 26000, 1597, 318, 1440, 1307, 314, 1842, 268, 273, 316, 11203, 476, 271, 912, 3546, 1699, 7272, 663, 580, 1388, 318, 13757, 5334, 889, 11415, 5091, 643, 529, 2225, 318, 27393, 1399, 815, 8771, 454, 3546, 2736, 454, 1038, 952, 1699, 7272, 663, 580, 1388, 318, 13757, 5334, 889, 11415, 5091, 643, 529, 2225, 318, 27393, 1399, 912, 2018, 2040, 15058, 5332, 13246, 318, 5976, 318, 1492, 318, 27393, 1399, 6834, 703, 263, 9690, 7272, 663, 580, 1388, 20311, 318, 553, 23952, 2020, 825, 1820, 4433, 636, 15058, 5332, 13246, 318, 5976, 318, 1492, 318, 27393, 1399, 264, 0, 18257, 2237, 513, 5124, 1982, 602, 24693, 606, 8870, 630, 333, 264, 543, 1939, 525, 519, 1871, 540, 562, 266, 25699, 266, 25699, 333, 454, 25456, 1871, 540, 562, 568, 476, 276, 454, 2750, 4624, 28088, 2433, 476, 277, 1428, 18257, 692, 7531, 333, 25507, 9272, 2891, 11767, 513, 1297, 281, 27328, 2745, 3799, 1341, 630, 333, 265, 1015, 266, 333, 264, 1341, 630, 333, 265, 1911, 266, 333, 265, 1015, 266, 333, 264, 9239, 0, 18411, 24464, 340, 912, 272, 269, 8228 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19855, 1995, 540, 1367, 3755, 269, 1635, 7421, 875, 513, 6075, 536, 992, 4513, 707, 3896, 267, 606, 5690, 5849, 602, 18537, 3358, 547, 1010, 4690, 616, 10268, 1282, 1010, 1985, 3643, 563, 271, 540, 476, 272, 5999, 6192, 454, 2791, 723, 2907, 6192, 519, 7688, 1354, 269, 9747, 596, 666, 711, 1376, 621, 1586, 563, 5226, 714, 568, 15205, 7498, 2791, 1590, 1129, 538, 610, 1129, 909, 547, 1376, 519, 7688, 563, 2791, 1590, 1101, 2347, 519, 1739, 912, 271, 540, 476, 272, 5999, 12943, 7157, 454, 290, 345, 553, 23313, 384, 503, 1236, 334, 385, 482, 322, 5414, 22119, 454, 2791, 723, 6603, 476, 271, 540, 476, 271, 1448, 4433, 1070, 630, 271, 994, 28606, 2740, 8672, 4433, 2567, 476, 271, 540, 476, 271, 267, 630, 271, 994, 271, 4828, 4433, 264, 623, 2056, 630, 303, 6372, 8672, 4433, 2567, 476, 271, 994, 10574, 5599, 568, 519, 1184, 540, 7421, 1239, 689, 1585, 12240, 538, 1931, 547, 5431, 4540, 3270, 563, 7116, 1564, 267, 4507, 267, 3652, 610, 4441, 602, 1827, 799, 1239, 568, 6394, 267, 543, 875, 621, 568, 6740, 267, 11231, 267, 7471, 267, 543, 2322, 547, 946, 454, 320, 4015, 540, 1344, 1759, 593, 513, 1455, 1888, 454, 320, 1184, 540, 1818, 1945, 607, 4628, 6198, 610, 2500, 607, 2009, 454, 320, 1982, 799, 15824, 513, 1880, 4305, 454, 320, 1305, 540, 3157, 543, 4066, 602, 6460, 6151, 1239, 883, 6209, 1344, 602, 11479, 19311, 1870, 3527, 0, 27455, 6674, 539, 5487, 657, 568, 835, 540, 519, 1158, 781, 1906, 6967, 21340, 2829, 563, 299, 340, 836, 623, 4599, 836, 8003, 630, 1240, 628, 268, 866, 628, 2540, 264, 729, 3964, 1310, 519, 11344, 2085, 540, 28469, 2473, 836, 8003, 630, 1691, 628, 268, 1240, 628, 2540, 1040, 901, 25133, 10806, 2451, 5487, 657, 609, 1082, 1806, 540, 519, 10806, 781, 6189, 267, 519, 9576, 20066, 538, 13198, 836, 623, 4599, 836, 543, 966, 1304, 1014, 324, 563, 17442, 657, 729, 513, 3943, 12733, 2394, 476, 4198, 274, 267, 799, 3366, 547, 519, 4367, 540, 3864, 6189, 267, 2069, 543, 11951, 269, 4706, 1686, 814, 1044, 6825, 676, 2797, 16132, 543, 4655, 267, 3226, 1282, 519, 10476, 2782, 563, 763, 20648, 2622, 11595, 13505, 540, 13198, 836, 623, 4599, 836, 267, 799, 2934, 1082, 1271, 14418, 17633, 543, 2757, 5487, 334, 6189, 267, 568, 513, 15266, 547, 5487, 657, 262, 3638, 2686, 1686, 543, 24643, 1082, 8436, 1142, 1032, 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 ]
[ 0, 9223, 281, 769, 799, 1772, 548, 540, 654, 697, 4884, 666, 596, 1265, 519, 3778, 540, 3911, 10212, 1782, 7467, 13045, 12585, 281, 1970, 750, 6807, 0, 9223, 281, 1733, 846, 1152, 3209, 729, 634, 9315, 10904, 27190, 816, 888, 12585, 281, 1649, 17010, 993, 559, 3249, 543, 16699, 544, 1380, 565, 7236, 0, 9223, 281, 634, 14965, 3196, 25116, 676, 606, 1843, 5673, 593, 922, 692, 288, 269, 4320, 563, 289, 269, 2597, 563, 290, 269, 2527, 563, 291, 269, 2450, 563, 12585, 281, 2527, 269, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 25064, 5420, 20695, 20085, 16009, 5545, 6117, 11381, 834, 536, 834, 16009, 6117, 5545, 25064, 5420, 20695, 20085, 11381, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 21312, 17681, 6117, 1977, 27576, 834, 536, 834, 17681, 1977, 21312, 6117, 27576, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 9223, 281, 1703, 616, 1082, 4587, 1004, 538, 519, 1158, 543, 972, 786, 581, 1082, 811, 269, 589, 2370, 8153, 1249, 568, 602, 936, 476, 2568, 2600, 540, 519, 4587, 1004, 2661, 538, 3384, 2477, 269, 4340, 547, 519, 2622, 2657, 9257, 267, 676, 476, 1708, 271, 972, 786, 581, 476, 272, 5479, 267, 609, 936, 476, 10384, 2929, 2713, 538, 3384, 2477, 269, 898, 568, 513, 9670, 1249, 602, 519, 2551, 30333, 568, 3226, 4028, 538, 3384, 2477, 269, 1280, 1383, 267, 621, 3576, 5333, 476, 12893, 1296, 585, 519, 8167, 540, 4587, 1004, 547, 5595, 689, 476, 278, 2600, 547, 476, 1691, 2600, 269, 898, 568, 6059, 547, 1491, 3624, 513, 6071, 476, 2767, 1296, 547, 3035, 713, 1482, 2333, 269, 1548, 616, 519, 6286, 540, 891, 2799, 2338, 540, 4587, 12563, 286, 2290, 540, 519, 7887, 19048, 585, 6608, 568, 602, 519, 3476, 1004, 2661, 2073, 1492, 811, 10171, 972, 568, 585, 3676, 543, 585, 9659, 269, 23206, 568, 1373, 6976, 547, 519, 991, 547, 1832, 1004, 607, 2635, 607, 2009, 267, 1519, 1282, 2025, 2085, 267, 547, 24390, 519, 2883, 11411, 593, 519, 1533, 269, 6271, 1713, 1966, 568, 519, 991, 585, 519, 7820, 5481, 547, 1174, 543, 1871, 519, 4587, 1004, 538, 741, 2486, 269, 769, 930, 3979, 2477, 267, 6157, 538, 5607, 267, 4587, 1004, 616, 15197, 543, 9833, 607, 519, 3283, 609, 2027, 1702, 269, 8616, 5389, 616, 535, 8172, 2476, 3232, 267, 799, 1281, 711, 2327, 519, 4797, 1164, 2543, 540, 4587, 1004, 269, 1306, 2486, 2242, 267, 8456, 786, 1689, 269, 13518, 2115, 547, 581, 2944, 547, 1205, 7759, 540, 2085, 7130, 567, 538, 7694, 269, 5020, 17489, 1565, 3292, 991, 547, 581, 3177, 547, 5512, 4587, 1004, 547, 581, 3742, 2818, 538, 513, 2197, 781, 1646, 269, 4317, 3354, 4507, 991, 547, 581, 3964, 547, 1683, 7850, 4747, 4027, 585, 4587, 1004, 269, 5637, 1857, 543, 4357, 14565, 616, 4105, 538, 1931, 547, 1628, 513, 5078, 3106, 2121, 269, 1677, 3035, 7862, 538, 971, 6927, 786, 1491, 9645, 942, 543, 4674, 269, 2290, 3364, 568, 2386, 281, 11004, 568, 1100, 942, 547, 581, 4503, 269, 634, 8167, 540, 4587, 1004, 476, 9041, 476, 4586, 288, 269, 568, 8273, 538, 2919, 2477, 982, 538, 3384, 2477, 454, 289, 269, 786, 2333, 1454, 5488, 538, 3624, 982, 538, 5333, 454, 290, 269, 568, 835, 5498, 22770, 540, 519, 2551, 538, 3384, 2477, 454, 291, 269, 786, 581, 24239, 2600, 538, 3384, 2477, 676, 476, 1708, 271, 454, 12585, 281, 645, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 3504, 20085, 5374, 11381, 834, 536, 834, 20085, 3504, 5374, 11381, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 8748, 5420, 20695, 13470, 10537, 16009, 5556, 565, 3150, 6474, 834, 536, 834, 13470, 10537, 16009, 8748, 5556, 565, 3150, 5420, 20695, 6474, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589, 0, 9223, 281, 6904, 540, 891, 2934, 540, 3047, 781, 12933, 616, 3361, 676, 519, 13346, 540, 29684, 10824, 888, 12585, 281, 4571, 27984, 4117, 31393, 0, 9223, 281, 27079, 267, 4856, 3072, 1446, 543, 2274, 1182, 614, 616, 782, 14981, 540, 799, 3662, 888, 12585, 281, 13265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 519, 12070, 1723, 343, 517, 9896, 16034, 1449, 568, 267, 602, 922, 1267, 949, 581, 454, 323, 8817, 593, 1239, 14759, 256, 901, 568, 4625, 8035, 10650, 585, 513, 1875, 12407, 13011, 1449, 269, 4935, 519, 12070, 1723, 343, 517, 9896, 16034, 1449, 1058, 1152, 581, 1031, 454, 604, 519, 3892, 540, 519, 3604, 568, 21136, 563, 5278, 18802, 2103, 4363, 519, 946, 540, 519, 1129, 1449, 607, 1875, 268, 12407, 13011, 454, 531, 1181, 894, 547, 519, 19610, 512, 23150, 269, 1717, 267, 519, 1129, 1449, 568, 711, 1654, 344, 3532, 563, 8448, 18802, 2103, 4363, 547, 2981, 519, 1239, 952, 519, 6151, 1239, 1397, 454, 331, 24147, 3604, 585, 2362, 15977, 2418, 543, 1287, 547, 4019, 519, 454, 310, 559, 1723, 343, 517, 9896, 16034, 1449, 269, 1717, 267, 713, 568, 1152, 4363, 762, 952, 519, 454, 10520, 4146, 2965, 2164, 538, 513, 27101, 3892, 540, 519, 454, 18528, 3720, 563, 1692, 666, 649, 13182, 952, 2362, 3604, 2049, 693, 2362, 15977, 2418, 888, 2171, 666, 4729, 519, 3604, 630, 311, 25286, 264, 8957, 519, 1797, 630, 311, 266, 312, 8358, 273, 267, 1294, 519, 454, 6572, 1460, 593, 2985, 476, 9965, 563, 14096, 454, 1789, 289, 276, 269, 274, 269, 623, 8529, 18873, 454, 2414, 1685, 519, 12070, 1723, 343, 517, 9896, 16034, 1449, 543, 519, 1129, 1449, 585, 1383, 454, 276, 269, 274, 269, 272, 1421, 649, 4945, 593, 454, 22860, 2763, 454, 15239, 12407, 13011, 18873, 454, 273, 13565, 27842, 2483, 2171, 3442, 519, 4632, 28217, 300, 27602, 543, 18161, 24278, 27602, 543, 1847, 873, 547, 519, 454, 7615, 454, 14818, 623, 4202, 912, 5445, 2408, 607, 30449, 476, 272, 896, 454, 24868, 762, 272, 543, 24438, 273, 2676, 27920, 1947, 563, 1103, 519, 2361, 454, 14818, 7392, 454, 933, 3442, 454, 310, 559, 1723, 343, 517, 543, 6178, 454, 10190, 649, 524, 330, 1157, 593, 454, 10498, 454, 663, 519, 1079, 16761, 4255, 786, 581, 7229, 563, 2690, 519, 12070, 1723, 343, 517, 9896, 16034, 1449, 513, 533, 17032, 540, 476, 271, 269, 19740, 543, 585, 519, 1129, 1449, 454, 320, 533, 17032, 540, 476, 271, 269, 9826, 568, 7229, 563, 7230, 10225, 912, 31220, 303, 8529, 3871, 616, 711, 11658, 547, 1152, 1079, 7403, 1369, 454, 320, 3461, 267, 552, 3052, 269, 513, 20083, 2013, 20820, 1353, 849, 13054, 513, 19610, 454, 338, 527, 6672, 269, 634, 1367, 3604, 786, 581, 7229, 689, 519, 1079, 454, 10849, 969, 725, 540, 1142, 20083, 6292, 32372, 13826, 543, 922, 1852, 1916, 25519, 1081, 256, 4223, 3481, 2013, 20820, 2090, 616, 2653, 547, 5659, 855, 741, 454, 323, 13377, 616, 1390, 269, 23883, 519, 3903, 540, 8060, 568, 513, 2707, 540, 454, 26330, 543, 7301, 6898, 563, 31220, 303, 8529, 3871, 616, 519, 14724, 1383, 540, 513, 811, 2489, 1523, 2676, 21406, 17527, 269, 769, 2489, 1169, 8097, 1770, 609, 811, 982, 454, 821, 6482, 13054, 513, 3625, 269, 634, 21000, 1588, 3625, 454, 17507, 919, 689, 6683, 563, 12553, 454, 1789, 289, 276, 269, 274, 269, 623, 8529, 18873, 454, 7078, 476, 276, 269, 274, 269, 273, 12727, 769, 476, 3422, 279, 513, 10368, 1353, 827, 15466, 29473, 2424, 729, 454, 704, 11526, 693, 519, 476, 272, 560, 4972, 585, 17889, 630, 288, 298, 295, 267, 21499, 264, 609, 476, 13199, 2550, 563, 763, 10368, 2645, 14160, 2562, 13965, 543, 667, 8008, 12195, 2207, 941, 3379, 269, 634, 3020, 454, 10972, 1725, 2670, 729, 12290, 676, 9006, 2762, 269, 3371, 267, 1152, 2550, 609, 15466, 454, 665, 2424, 941, 2808, 563, 32747, 454, 291, 641, 16980, 454, 32504, 32504, 8894, 32504, 32504, 8894, 15893, 540, 2550, 609, 454, 341, 6018, 29473, 2424, 454, 8999, 454, 2420, 454, 274, 454, 1626, 454, 274, 454, 4510, 454, 1103, 476, 1839, 2665, 630, 2420, 7132, 476, 274, 264, 519, 5817, 15466, 29473, 2424, 729, 8995, 454, 322, 8091, 569, 676, 519, 4791, 1505, 269, 634, 2953, 5868, 609, 519, 28576, 16980, 454, 339, 944, 729, 1500, 538, 476, 4343, 2665, 630, 2420, 7132, 476, 1626, 1040, 4935, 267, 519, 8417, 585, 519, 454, 30570, 5868, 568, 476, 1839, 270, 4510, 284, 6872, 4939, 543, 519, 8417, 585, 28576, 16980, 568, 454, 4343, 270, 4510, 284, 10436, 4939, 563, 11917, 16227, 267, 519, 5868, 609, 28576, 16980, 568, 811, 6213, 982, 519, 4791, 454, 10972, 1725, 2670, 269, 634, 2243, 14340, 952, 713, 3017, 666, 18481, 581, 454, 30161, 7134, 676, 4960, 286, 4935, 267, 649, 991, 1586, 513, 8579, 1449, 563, 763, 3889, 540, 1806, 476, 276, 269, 274, 269, 272, 543, 476, 276, 269, 274, 269, 273, 269, 616, 1360, 2147, 269, 769, 519, 1101, 454, 9987, 267, 519, 6364, 729, 6027, 7466, 585, 1142, 4807, 630, 2181, 268, 543, 454, 14006, 2173, 523, 11584, 958, 264, 543, 538, 519, 2034, 267, 519, 6364, 568, 6027, 7466, 585, 454, 26421, 3461, 630, 30570, 267, 28576, 16980, 1040, 634, 1292, 3017, 1063, 1312, 454, 1410, 3263, 568, 519, 1826, 540, 519, 6364, 269, 769, 1383, 476, 276, 269, 274, 269, 272, 269, 519, 6364, 454, 19702, 762, 729, 4336, 630, 323, 2884, 776, 6981, 538, 737, 297, 264, 543, 1631, 621, 568, 27524, 582, 10535, 22791, 267, 910, 1916, 763, 2953, 8579, 1449, 538, 1383, 476, 276, 269, 274, 269, 272, 269, 729, 4986, 3116, 982, 513, 454, 335, 8529, 4528, 540, 519, 2241, 10002, 8529, 512, 23150, 269, 6684, 267, 519, 2953, 454, 560, 520, 6750, 1449, 585, 1383, 476, 276, 269, 274, 269, 273, 568, 513, 19610, 4528, 540, 519, 2241, 932, 529, 13645, 1449, 267, 519, 865, 10777, 5062, 301, 655, 541, 1449, 563, 763, 21658, 5170, 269, 8307, 519, 3017, 1063, 1079, 19610, 3800, 454, 529, 1031, 585, 519, 19610, 512, 23150, 269, 634, 1482, 568, 3020, 585, 519, 5062, 301, 655, 541, 1449, 281, 519, 454, 15574, 689, 1079, 19610, 7403, 568, 4389, 547, 835, 1871, 563, 2171, 1832, 538, 2247, 281, 519, 5062, 301, 655, 541, 1449, 568, 1031, 585, 19610, 3871, 609, 454, 323, 747, 582, 10535, 6364, 269, 898, 568, 513, 14583, 540, 519, 1129, 1449, 563, 3086, 519, 1239, 538, 536, 276, 318, 274, 318, 273, 4732, 822, 616, 1031, 269, 1717, 267, 649, 1058, 711, 7340, 547, 454, 26574, 27418, 19601, 15782, 454, 1789, 289, 276, 269, 274, 269, 623, 8529, 18873, 454, 2252, 649, 3444, 2389, 629, 3634, 519, 5868, 2645, 4791, 543, 28576, 16980, 267, 1287, 649, 454, 984, 1555, 519, 1739, 3349, 912, 10972, 1725, 2670, 676, 28576, 16980, 454, 30570, 5868, 454, 32504, 20135, 454, 32504, 20135, 454, 274, 454, 1626, 32372, 325, 994, 866, 454, 274, 32372, 326, 994, 2420, 454, 1839, 454, 277, 454, 4343, 454, 4510, 454, 1103, 1614, 2550, 267, 1312, 2409, 1291, 547, 513, 2942, 5868, 543, 538, 476, 2420, 454, 6312, 1801, 267, 1312, 2409, 1291, 547, 513, 2318, 5868, 269, 6270, 9838, 2164, 454, 732, 1572, 607, 6677, 867, 656, 563, 2414, 2626, 519, 2243, 799, 5868, 1907, 568, 811, 6213, 267, 519, 454, 935, 322, 867, 656, 2164, 616, 796, 28695, 269, 634, 6476, 540, 519, 22740, 8481, 454, 1839, 270, 4510, 543, 476, 4343, 270, 4510, 6971, 547, 519, 6476, 540, 519, 1297, 540, 2953, 454, 10972, 1725, 4680, 476, 1839, 543, 476, 4343, 269, 634, 476, 2420, 6677, 867, 656, 2164, 2408, 538, 1312, 2338, 2676, 6518, 5012, 6368, 547, 513, 6476, 540, 519, 865, 10777, 1167, 867, 656, 2164, 267, 476, 274, 454, 663, 476, 1626, 630, 5658, 539, 538, 519, 3349, 609, 968, 326, 892, 543, 968, 325, 892, 1916, 13295, 267, 1114, 21904, 616, 1167, 867, 656, 2164, 269, 8307, 2550, 609, 454, 29171, 867, 656, 5868, 2164, 1683, 4143, 1344, 547, 2626, 519, 454, 516, 14142, 2243, 269, 901, 568, 519, 4358, 1448, 540, 519, 5062, 301, 655, 541, 1449, 269, 1284, 454, 2889, 3865, 607, 1354, 630, 1440, 4532, 2118, 540, 8579, 4152, 26695, 3519, 4740, 569, 912, 31220, 301, 1638, 8367, 281, 29770, 763, 3017, 1063, 1312, 454, 29171, 867, 656, 2164, 630, 325, 14263, 575, 264, 568, 3160, 547, 4642, 256, 2108, 454, 263, 10193, 281, 1312, 5868, 2645, 616, 8449, 6213, 994, 31220, 10521, 21758, 4244, 8367, 281, 29770, 1607, 3017, 568, 1114, 454, 5228, 4642, 256, 2108, 454, 31220, 4504, 30698, 2268, 585, 519, 3845, 689, 519, 14275, 8367, 912, 2419, 328, 30026, 21205, 454, 31220, 2691, 568, 513, 1267, 811, 3665, 982, 519, 4767, 835, 888, 763, 2362, 519, 15616, 30026, 21205, 267, 519, 811, 3665, 568, 519, 1267, 2336, 9873, 454, 18196, 454, 1993, 454, 1789, 289, 276, 269, 274, 269, 623, 8529, 18873, 454, 2252, 519, 14275, 8367, 729, 3020, 912, 866, 1167, 867, 656, 8424, 941, 4767, 269, 1403, 4791, 5868, 543, 28576, 16980, 454, 10972, 1725, 2670, 941, 8449, 6213, 267, 1287, 649, 2503, 454, 31220, 280, 269, 276, 2053, 4791, 29770, 268, 2108, 543, 28576, 16980, 29770, 266, 2108, 543, 454, 31220, 280, 269, 276, 2053, 4791, 29770, 266, 2108, 543, 28576, 16980, 29770, 268, 2108, 563, 3086, 649, 723, 547, 946, 891, 4397, 2418, 547, 5173, 519, 15616, 30026, 454, 322, 761, 19118, 269, 5457, 281, 12433, 585, 1142, 1591, 630, 10849, 5703, 14263, 4397, 264, 338, 32464, 267, 1287, 7941, 873, 676, 4397, 543, 2040, 936, 519, 2281, 269, 2552, 337, 3320, 454, 1729, 519, 2907, 1634, 8723, 15616, 30026, 1449, 267, 1152, 519, 1079, 1167, 867, 656, 454, 3250, 338, 616, 1031, 585, 519, 5062, 301, 655, 541, 1449, 912, 263, 1626, 6567, 476, 280, 269, 276, 264, 273, 1341, 630, 476, 274, 6567, 476, 280, 269, 276, 264, 273, 454, 280, 269, 276, 454, 280, 269, 276, 454, 23751, 279, 269, 280, 454, 273, 454, 1607, 4542, 666, 849, 581, 16866, 547, 630, 535, 6567, 575, 12467, 325, 1341, 326, 454, 2252, 596, 7696, 585, 535, 284, 1626, 543, 575, 284, 274, 1287, 519, 16866, 4542, 849, 2164, 538, 513, 454, 7407, 540, 476, 279, 269, 280, 269, 2986, 1576, 267, 849, 606, 3169, 4528, 540, 519, 5062, 301, 655, 541, 1449, 6818, 2676, 6518, 568, 2523, 5227, 585, 1507, 2418, 540, 535, 543, 575, 563, 306, 31723, 3091, 1079, 27487, 547, 5173, 519, 5062, 301, 655, 541, 1449, 563, 272, 560, 4781, 281, 1284, 4945, 593, 454, 22860, 2763, 454, 15239, 12407, 13011, 18873, 454, 273, 13565, 27842, 2483, 2171, 4945, 593, 519, 4632, 14160, 2562, 13965, 543, 667, 8008, 12195, 2207, 543, 1847, 873, 547, 519, 454, 7615, 454, 14818, 623, 4202, 912, 5445, 2408, 607, 30449, 476, 272, 896, 454, 24868, 762, 272, 543, 24438, 273, 2676, 27920, 1947, 563, 1103, 519, 2361, 454, 14818, 7392, 454, 933, 3442, 454, 18250, 301, 655, 541, 563, 10190, 649, 4945, 593, 15528, 454, 663, 519, 16761, 1449, 786, 581, 7229, 269, 590, 31723, 3947, 8850, 519, 454, 1410, 716, 533, 17032, 540, 476, 271, 269, 21916, 630, 587, 508, 2750, 716, 590, 580, 269, 630, 273, 26904, 264, 892, 1916, 14530, 454, 1789, 289, 276, 269, 274, 269, 623, 8529, 18873, 454, 273, 526, 4781, 281, 1284, 4945, 593, 454, 22860, 2763, 454, 5327, 20696, 10803, 454, 290, 4592, 560, 11274, 2483, 3086, 267, 649, 1847, 519, 4756, 14160, 2562, 13965, 547, 519, 2361, 454, 305, 578, 4433, 2187, 663, 519, 4756, 667, 8008, 12195, 2207, 547, 519, 2361, 454, 8624, 4379, 4433, 2567, 563, 2171, 4945, 593, 519, 7735, 454, 32417, 2483, 663, 3442, 5062, 301, 655, 541, 269, 3973, 649, 4945, 593, 454, 25594, 454, 663, 454, 10498, 454, 663, 519, 16761, 1449, 786, 581, 7229, 269, 634, 3169, 533, 17032, 568, 1586, 454, 271, 269, 21916, 563, 7661, 267, 1152, 519, 7664, 540, 519, 1449, 1267, 568, 7508, 269, 634, 533, 17032, 540, 454, 271, 269, 21916, 568, 4130, 982, 519, 4122, 1031, 4644, 1377, 538, 4915, 540, 454, 271, 269, 4962, 269, 4935, 519, 1449, 1267, 568, 19250, 1713, 543, 649, 666, 7947, 519, 454, 333, 1638, 8367, 269, 23369, 540, 513, 15466, 29473, 2424, 609, 28576, 16980, 568, 811, 454, 338, 17567, 982, 513, 5868, 676, 4791, 4879, 563, 23087, 454, 5472, 8579, 4255, 602, 723, 1044, 5189, 538, 713, 543, 519, 2063, 3184, 454, 732, 24298, 538, 519, 1739, 3349, 912, 11073, 2492, 4756, 454, 24718, 1079, 454, 785, 8817, 2516, 454, 24718, 1079, 454, 335, 8529, 2516, 454, 339, 23150, 454, 335, 8529, 512, 23150, 454, 29173, 610, 3921, 1400, 454, 310, 559, 1723 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1913, 540, 674, 7644, 4306, 13653, 25760, 21919, 523, 267, 834, 3963, 616, 649, 14120, 2576, 945, 666, 12235, 513, 13836, 476, 3445, 5195, 829, 5662, 610, 945, 666, 2322, 513, 14912, 998, 513, 11876, 641, 267, 950, 519, 1483, 6801, 616, 519, 3214, 945, 616, 4358, 1524, 519, 2619, 4724, 4657, 519, 1158, 18313, 24109, 2719, 12704, 24439, 32017, 14168, 454, 23727, 17583, 476, 278, 270, 279, 270, 1001, 275, 476, 276, 8292, 9966, 2719, 12704, 814, 30792, 513, 1007, 17562, 6539, 4534, 9966, 2719, 12704, 13660, 334, 4534, 602, 666, 4001, 4896, 519, 2596, 540, 18951, 4702, 267, 1256, 1453, 269, 634, 6539, 729, 5950, 593, 918, 1157, 560, 6621, 543, 814, 20546, 539, 922, 7616, 3804, 540, 1269, 1789, 267, 1822, 563, 298, 296, 19447, 2561, 324, 1023, 547, 8866, 262, 22569, 1588, 454, 23727, 17583, 476, 277, 270, 1704, 270, 1001, 275, 476, 276, 8292, 634, 18951, 2679, 6539, 568, 6322, 693, 1453, 2185, 547, 5722, 1296, 2025, 267, 609, 513, 3804, 540, 1128, 3739, 538, 1453, 606, 1719, 543, 25505, 585, 2257, 267, 2029, 267, 4702, 267, 543, 2979, 630, 23727, 264, 4610, 609, 513, 9867, 1259, 540, 3450, 563, 3963, 1284, 10261, 2859, 6468, 538, 7177, 454, 23727, 17583, 476, 276, 270, 2537, 270, 1001, 275, 476, 2190, 8292, 589, 1804, 1297, 540, 2090, 723, 3254, 602, 2367, 543, 2021, 723, 1114, 4485, 547, 6061, 1950, 2042, 269, 898, 568, 10502, 1317, 540, 519, 3604, 1063, 2367, 543, 2021, 602, 519, 4702, 3924, 1131, 4324, 689, 3152, 7589, 540, 2021, 563, 288, 674, 7644, 4306, 595, 785, 699, 12848, 9452, 454, 23727, 17583, 476, 275, 270, 2190, 270, 1001, 275, 476, 1428, 8292, 2060, 1489, 689, 2817, 29698, 267, 513, 1895, 540, 6131, 1053, 689, 1230, 333, 958, 4400, 3427, 538, 21388, 267, 1141, 811, 982, 476, 2004, 260, 540, 519, 1053, 616, 693, 1981, 540, 711, 4271, 908, 267, 723, 2813, 513, 3811, 17562, 2319, 602, 568, 12721, 538, 519, 674, 7644, 4306, 2622, 29073, 4721, 563, 262, 292, 14852, 262, 590, 1706, 802, 13241, 19541, 454, 23727, 17583, 476, 275, 270, 280, 270, 1001, 275, 476, 278, 8292, 18160, 538, 513, 13340, 26182, 2565, 3206, 609, 519, 4890, 3257, 543, 7680, 269, 1358, 1491, 519, 3948, 834, 22055, 3931, 8186, 1616, 547, 917, 257, 547, 513, 2898, 1007, 1377, 563, 300, 550, 1681, 1772, 519, 6206, 547, 513, 14847, 1438, 29790, 12243, 454, 23727, 17583, 476, 275, 270, 274, 270, 1001, 275, 5403, 513, 6085, 1879, 513, 1153, 899, 15196, 548, 1261, 2074, 685, 17619, 4400, 3427, 538, 11968, 13353, 6499, 547, 4283, 883, 519, 1164, 24289, 1158, 540, 8013, 17562, 267, 972, 616, 1614, 1919, 602, 616, 2877, 547, 1489, 519, 1788, 281, 2724, 267, 1053, 267, 543, 1034, 11932, 267, 5578, 563, 7069, 5020, 607, 513, 674, 7644, 4306, 29790, 22895, 528, 454, 23727, 17583, 476, 274, 270, 1839, 270, 1001, 275, 476, 275, 8292, 1879, 596, 1995, 519, 1648, 540, 674, 7644, 4306, 998, 519, 1053, 596, 2461, 29013, 267, 596, 3605, 602, 621, 779, 835, 540, 519, 811, 1187, 1919, 596, 666, 798, 609, 707, 22302, 942, 269, 594, 5000, 596, 547, 1265, 513, 2319, 543, 948, 856, 269, 1411, 3580, 3605, 602, 519, 1053, 945, 7119, 616, 1101, 268, 3433, 267, 6131, 267, 3743, 267, 543, 3860, 269, 1656, 952, 596, 2461, 2907, 3238, 609, 513, 674, 7644, 4306, 2319, 267, 9684, 596, 563, 7069, 32722, 593, 29303, 519, 13241, 12532, 454, 23727, 17583, 476, 274, 270, 275, 270, 1001, 275, 476, 866, 8292, 1284, 616, 4758, 519, 3689, 11570, 630, 663, 1022, 2404, 6105, 264, 513, 7271, 547, 1205, 741, 2262, 856, 269, 1403, 596, 2811, 3238, 609, 3689, 610, 723, 4376, 547, 2161, 827, 519, 3919, 267, 1577, 721, 917, 563, 763, 11957, 540, 22895, 832, 454, 23727, 17583, 476, 1556, 270, 2767, 270, 1001, 274, 476, 5655, 8292, 13744, 570, 7978, 267, 513, 1279, 5503, 23784, 547, 5071, 5240, 267, 568, 1427, 3931, 269, 769, 713, 267, 1010, 24214, 6202, 6241, 267, 646, 17613, 519, 2956, 540, 2348, 23003, 267, 543, 7064, 1010, 1378, 563, 21930, 21989, 9185, 538, 13241, 454, 23727, 17583, 476, 1015, 270, 1789, 270, 1001, 274, 476, 2190, 8292, 15638, 971, 607, 519, 15306, 24979, 4875, 2598, 4533, 27725, 25070, 543, 30023, 1982, 971, 607, 8331, 781, 717, 15660, 10611, 11482, 2529, 269, 630, 294, 1516, 19541, 543, 25684, 547, 4804, 7070, 264, 948, 3895, 1719, 538, 13241, 563, 288, 12050, 267, 4154, 267, 1930, 25101, 4172, 701, 949, 711, 581, 519, 19044, 547, 16669, 562, 597, 341, 3570, 585, 1169, 7082, 267, 855, 22858, 639, 685, 700, 293, 4211, 273, 1523, 1286, 6157, 5828, 9843, 693, 519, 2487, 11968, 13353, 16790, 8058, 269, 1548, 779, 811, 267, 621, 949, 1683, 513, 19214, 540, 519, 17195, 3678, 6033, 779, 2104, 563, 763, 6988, 540, 17088, 9817, 1797, 17306, 741, 2773, 3340, 513, 1804, 2179, 540, 17634, 269, 32492, 5714, 6384, 630, 20003, 291, 264, 568, 513, 1360, 3730, 543, 16022, 1907, 538, 713, 267, 543, 4411, 2095, 2079, 1210, 18435, 291, 568, 606, 4998, 1935, 547, 1353, 519, 2095, 4162, 1510, 2469, 883, 519, 3877, 540, 3114, 6547, 9648, 1282, 519, 13674, 563, 30696, 593, 26386, 5161, 540, 476, 3393, 18826, 593, 11060, 5049, 602, 3382, 513, 3984, 540, 4066, 269, 1411, 1451, 1510, 6028, 519, 4313, 540, 707, 11380, 269, 2353, 5049, 616, 6026, 676, 1641, 2173, 2660, 4966, 543, 782, 616, 2895, 1882, 269, 1924, 952, 596, 666, 1405, 7390, 2661, 267, 7390, 693, 707, 13418, 269, 0, 3963, 3567, 267, 3162, 9705, 267, 543, 3624, 3657, 865, 681, 6150, 909, 3683, 513, 23225, 570, 4176, 11866, 454, 20606, 476, 1428, 7436, 519, 16683, 540, 519, 1439, 540, 2622, 2782, 4083, 538, 5607, 269, 3567, 781, 14710, 729, 2347, 267, 543, 922, 9271, 13778, 12171, 1638, 9452, 454, 258, 272, 4119, 476, 1704, 267, 476, 1001, 273, 454, 2252, 3567, 1281, 957, 607, 1018, 5125, 814, 2944, 1310, 1200, 14710, 267, 1287, 1100, 15539, 786, 8451, 563, 19350, 616, 519, 5013, 11341, 547, 667, 807, 1195, 340, 912, 763, 667, 807, 1195, 340, 10195, 723, 1044, 851, 540, 3624, 2094, 30721, 19092, 267, 7674, 607, 1271, 10068, 12406, 13950, 676, 519, 11662, 540, 15990, 269, 901, 666, 581, 4628, 8810, 676, 1686, 543, 568, 16155, 1134, 1922, 15903, 563, 307, 2967, 9774, 729, 524, 17660, 547, 3567, 538, 519, 15521, 540, 1744, 30266, 846, 7288, 538, 476, 6245, 276, 267, 1310, 519, 590, 3626, 11219, 17702, 2112, 563, 307, 2967, 9774, 729, 8120, 547, 3624, 538, 476, 3707, 276, 1310, 519, 21704, 540, 519, 7276, 540, 3567, 593, 5181, 476, 273, 267, 476, 3707, 276, 563, 4002, 5181, 476, 279, 267, 476, 4198, 272, 267, 3567, 9896, 519, 15521, 540, 13458, 609, 3567, 630, 21720, 569, 1634, 607, 519, 15521, 540, 5842, 12770, 610, 5842, 12770, 13458, 15521, 264, 609, 476, 4366, 6082, 269, 9137, 476, 274, 540, 519, 14097, 2829, 602, 3567, 786, 598, 2017, 538, 1022, 11556, 540, 519, 2136, 2276, 547, 519, 2136, 8315, 547, 1747, 896, 922, 3972, 4315, 1222, 1062, 267, 609, 519, 2136, 2276, 607, 519, 6852, 28720, 6392, 267, 15089, 572, 328, 1744, 9369, 5045, 540, 476, 3066, 19592, 269, 5087, 20173, 630, 10175, 519, 27550, 4157, 344, 340, 11866, 543, 519, 667, 7159, 334, 11866, 1070, 15089, 17763, 1744, 9369, 5045, 540, 1924, 14673, 717, 534, 630, 10175, 519, 12844, 514, 11866, 267, 14472, 9222, 6816, 543, 519, 26439, 334, 11866, 264, 543, 623, 732, 576, 966, 11253, 543, 29849, 6816, 269, 623, 2056, 519, 1818, 540, 971, 513, 11556, 543, 31077, 2962, 972, 517, 267, 519, 2136, 2276, 786, 723, 519, 1318, 547, 3635, 782, 543, 1022, 7060, 540, 7245, 267, 9086, 543, 16278, 936, 519, 8513, 543, 11317, 540, 891, 10195, 267, 1519, 741, 16857, 7297, 563, 18814, 547, 519, 5571, 4457, 6406, 2782, 267, 9444, 519, 6243, 540, 3624, 6862, 519, 4658, 781, 6243, 540, 3624, 941, 14376, 547, 519, 5842, 12770, 13458, 10985, 267, 543, 9444, 941, 6105, 547, 519, 5842, 12770, 15521, 563, 4002, 4873, 476, 1704, 267, 476, 3192, 272, 267, 513, 10941, 542, 729, 8815, 1063, 3567, 543, 7330, 7282, 519, 27550, 4157, 344, 340, 11866, 543, 519, 667, 7159, 334, 11866, 269, 901, 1185, 2813, 1158, 17253, 909, 549, 1513, 543, 17600, 676, 4457, 563, 7712, 281, 4119, 476, 1321, 454, 258, 273, 4119, 476, 1704, 267, 476, 1001, 273, 454, 294, 4261, 528, 540, 7813, 540, 3567, 1772, 6301, 26943, 335, 761, 454, 23536, 2406, 646, 568, 835, 540, 519, 1292, 27521, 338, 540, 3567, 781, 3140, 10963, 563, 3891, 568, 513, 4759, 540, 519, 5545, 11440, 28334, 267, 585, 2386, 563, 11754, 707, 8292, 2630, 454, 347, 298, 17671, 16921, 616, 678, 8775, 543, 771, 27920, 995, 630, 13202, 1412, 1691, 10534, 1320, 340, 1475, 294, 10224, 1475, 14530, 2008, 347, 297, 3253, 267, 590, 14389, 648, 320, 267, 3624, 547, 3986, 2528, 15377, 1475, 1320, 340, 1475, 11403, 308, 294, 6395, 9680, 7473, 11190, 22432, 9720, 1862, 1475, 10602, 2008, 347, 298, 17671, 5605, 26513, 10742, 9098, 14761, 630, 13202, 1412, 1691, 10534, 13356, 476, 1839, 1475, 288, 514, 340, 1475, 10219, 2008, 347, 5353, 9567, 781, 26302, 7442, 860, 3278, 585, 715, 30480, 22985, 7126, 3267, 1475, 13356, 476, 1839, 1475, 288, 514, 340, 1475, 2918, 2008, 347, 328, 13842, 5045, 737, 17671, 1004, 543, 12470, 564, 5045, 1862, 630, 12914, 1412, 1321, 10534, 13356, 476, 1839, 1475, 288, 514, 340, 1475, 27768, 2008, 347, 296, 991, 930, 948, 609, 513, 737, 17671, 6049, 1297, 1475, 13356, 476, 1839, 1475, 5472, 523, 25187, 1475, 272, 2008, 347, 2710, 11114, 28247, 625, 11146, 14655, 9093, 286, 1475, 13356, 476, 2190, 1475, 25324, 334, 1475, 272, 2008, 8340, 1018, 596, 1616, 2336, 15507, 3162, 9705, 17072, 3767, 454, 15648, 9736, 476, 1001, 275, 5440, 1460, 20941, 0, 9213, 267, 594, 10805, 607, 835, 540, 519, 1101, 2818, 540, 519, 9105, 513, 26831, 3184, 693, 772, 5425, 289, 269, 476, 9610, 811, 1913, 454, 30475, 9732, 9105, 589, 26831, 256, 2336, 8489, 798, 649, 1205, 1379, 689, 286, 5213, 1406, 938, 2842, 332, 1571, 593, 519, 15113, 676, 27924, 22484, 5352, 1379, 585, 4993, 888, 9223, 18542, 676, 23729, 534, 267, 476, 275, 628, 6103, 267, 681, 574, 13702, 16504, 454, 9172, 26833, 676, 966, 2795, 333, 681, 11047, 1380, 523, 267, 18947, 21436, 543, 7991, 15440, 267, 27743, 13738, 5295, 538, 27924, 454, 305, 1442, 344, 13738, 5295, 12958, 5201, 585, 922, 5561, 538, 2549, 3000, 267, 1927, 609, 519, 824, 2127, 649, 4196, 267, 689, 513, 1297, 540, 1114, 2959, 269, 476, 3583, 274, 811, 1913, 0, 1103, 1840, 547, 1942, 9806, 267, 519, 6280, 786, 849, 581, 2111, 547, 2569, 922, 3327, 11640, 676, 827, 476, 5780, 2600, 267, 918, 787, 19561, 752, 1767, 269, 634, 5201, 519, 6280, 1207, 903, 1631, 2501, 689, 5755, 30187, 1379, 2371, 267, 646, 1767, 267, 1818, 602, 1379, 519, 7887, 23784, 547, 8511, 9362, 563, 4407, 2842, 1379, 786, 1683, 5201, 547, 519, 13464, 267, 519, 6280, 4566, 547, 1628, 513, 15245, 543, 669, 14525, 9744, 547, 1683, 3002, 267, 9252, 543, 2011, 14555, 547, 519, 13464, 269, 2334, 2030, 786, 581, 13324, 609, 2067, 3154, 267, 646, 1767, 267, 2495, 519, 6280, 786, 581, 2921, 5413, 540, 1079, 540, 519, 1034, 10731, 2200, 538, 20274, 563, 14071, 4312, 3893, 519, 1655, 540, 1312, 10600, 2223, 646, 1767, 563, 763, 1788, 3884, 1405, 13013, 308, 781, 1101, 14679, 883, 1648, 1942, 9494, 269, 769, 5130, 267, 13013, 308, 8387, 9307, 789, 1185, 10710, 1269, 1704, 269, 276, 2929, 593, 10626, 3790, 2094, 519, 6280, 8045, 922, 1648, 9806, 1544, 538, 476, 1220, 278, 563, 298, 787, 19561, 752, 1767, 519, 6280, 814, 7691, 1454, 540, 602, 9806, 676, 3257, 1919, 899, 9505, 1154, 1055, 8279, 543, 3937, 693, 3781, 563, 1103, 513, 3967, 269, 476, 280, 4484, 547, 519, 20274, 3204, 757, 585, 14451, 4065, 543, 27504, 540, 20274, 781, 1857, 12621, 543, 9945, 267, 20274, 29583, 269, 6307, 12096, 514, 4280, 782, 1857, 12621, 543, 9945, 1533, 4204, 547, 2936, 2147, 1648, 6165, 4566, 563, 1103, 519, 4484, 267, 12096, 514, 3081, 2362, 2069, 968, 27665, 338, 585, 519, 4102, 1648, 4616, 538, 519, 1533, 2223, 2495, 12621, 543, 9945, 723, 513, 2101, 1909, 547, 1404, 538, 1942 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17445, 633, 16594, 2920, 538, 634, 28414, 968, 28036, 532, 25925, 7536, 21292, 281, 335, 4048, 332, 24939, 267, 1463, 633, 4633, 957, 267, 12008, 5898, 7260, 454, 303, 4048, 3901, 923, 568, 835, 540, 23316, 2090, 602, 568, 3833, 10694, 547, 1451, 811, 827, 269, 1703, 616, 1082, 3344, 540, 22964, 3901, 923, 282, 835, 540, 873, 568, 7231, 609, 4633, 6411, 269, 16594, 6411, 2874, 540, 1082, 6688, 282, 835, 540, 873, 568, 1463, 633, 4633, 957, 269, 901, 1353, 6663, 547, 2697, 519, 1463, 633, 4633, 957, 5340, 538, 968, 28036, 532, 25925, 892, 7260, 269, 19452, 267, 621, 786, 1265, 856, 875, 1419, 519, 1463, 633, 4633, 957, 5340, 543, 799, 1826, 540, 1463, 633, 4633, 957, 602, 616, 1034, 4749, 1031, 538, 519, 7260, 269, 901, 1353, 1031, 12007, 1505, 538, 799, 1239, 4015, 568, 2944, 676, 8384, 519, 7260, 267, 7421, 519, 1560, 3350, 543, 519, 19929, 540, 1142, 1915, 267, 2542, 519, 7097, 543, 5399, 1382, 269, 589, 2698, 540, 476, 16928, 1463, 633, 4633, 6411, 941, 6707, 4857, 269, 634, 1267, 540, 2079, 4951, 602, 519, 1463, 633, 4633, 957, 540, 19280, 568, 519, 1034, 4749, 1031, 538, 519, 7260, 630, 2641, 267, 277, 22103, 634, 2547, 4749, 1031, 1463, 633, 4633, 957, 568, 18136, 1463, 633, 4633, 957, 630, 271, 267, 278, 22103, 634, 1353, 849, 7000, 519, 2956, 540, 1463, 633, 4633, 957, 538, 5329, 519, 2095, 540, 1650, 1467, 540, 519, 7260, 269, 901, 1353, 568, 4397, 547, 2285, 930, 3730, 4030, 538, 1620, 1018, 1463, 633, 4633, 6411, 568, 563, 25105, 4364, 267, 590, 269, 630, 1220, 276, 1040, 634, 6348, 6261, 518, 8971, 2032, 540, 14640, 7304, 659, 1143, 269, 27079, 4133, 552, 18191, 16067, 2073, 476, 276, 269, 1793, 12727, 338, 333, 563, 288, 755, 514, 267, 808, 269, 700, 269, 630, 3422, 273, 1040, 1215, 547, 798, 12085, 609, 9293, 630, 273, 628, 1196, 12175, 5507, 281, 30296, 563, 295, 1941, 267, 700, 269, 681, 1421, 1299, 24156, 267, 717, 269, 630, 1220, 275, 1040, 634, 18361, 540, 26285, 3901, 923, 269, 10228, 281, 4563, 6202, 563, 295, 584, 5112, 267, 808, 269, 681, 1421, 1261, 553, 2917, 267, 645, 1421, 8055, 267, 631, 269, 645, 269, 630, 1220, 278, 1040, 12054, 24939, 281, 589, 6092, 1504, 269, 1715, 3840, 281, 11062, 2160, 4964, 563, 297, 27462, 267, 589, 269, 670, 1421, 1299, 19248, 822, 1080, 664, 523, 267, 594, 269, 630, 1220, 279, 1040, 16594, 20450, 538, 519, 3778, 540, 2296, 269, 24545, 281, 3627, 5484, 329, 7530, 563, 301, 770, 686, 267, 808, 1421, 3212, 29823, 267, 808, 1421, 1299, 670, 4545, 1442, 267, 808, 269, 570, 269, 630, 1220, 277, 1040, 634, 14716, 540, 589, 3118, 11619, 1137, 281, 589, 16594, 2920, 5811, 1547, 4750, 540, 8950, 5336, 23672, 9442, 563, 306, 514, 3873, 267, 631, 269, 623, 269, 630, 1220, 276, 1040, 7073, 23008, 2524, 269, 1715, 16156, 281, 9533, 23255, 1299, 20518, 12781, 563, 1805, 534, 5112, 15610, 540, 13898, 269, 630, 1220, 277, 267, 476, 2764, 5437, 1040, 26285, 3901, 923, 269, 8158, 5181, 267, 476, 280, 628, 476, 1001, 274, 689, 5291, 2517, 680, 6737, 14714, 534, 5112, 12975, 270, 550, 1845, 9706, 4048, 3901, 923, 13045, 312, 2544, 267, 717, 269, 630, 1960, 277, 1040, 26285, 3901, 923, 269, 1715, 3840, 281, 10228, 2160, 4964, 563, 288, 18308, 945, 15476, 609, 713, 4760, 3858, 547, 519, 1739, 2474, 912, 320, 269, 22439, 11677, 10677, 543, 9886, 519, 4760, 1318, 540, 1101, 8313, 609, 519, 960, 8195, 13931, 896, 513, 11300, 12780, 21922, 17821, 910, 9523, 1325, 833, 602, 2636, 1866, 547, 2671, 519, 960, 609, 606, 8622, 8540, 540, 519, 960, 781, 4589, 1222, 543, 3355, 8313, 538, 713, 4760, 563, 321, 269, 22439, 616, 2111, 547, 4283, 883, 5094, 267, 3606, 4579, 783, 12417, 585, 519, 1875, 7721, 5477, 3892, 540, 519, 4760, 781, 3370, 4528, 540, 519, 960, 630, 324, 3052, 1421, 2022, 621, 547, 606, 12250, 23789, 610, 15476, 621, 538, 513, 1433, 1070, 609, 606, 8622, 8540, 540, 922, 3355, 8313, 538, 713, 4760, 563, 322, 269, 22439, 616, 15868, 543, 9415, 547, 2022, 741, 960, 2228, 630, 324, 3052, 1421, 538, 12250, 1065, 21627, 1559, 610, 593, 741, 3896, 264, 1991, 547, 543, 1282, 519, 19169, 1184, 267, 607, 621, 666, 1291, 547, 11327, 15377, 267, 607, 1134, 607, 4505, 543, 3152, 11239, 540, 3370, 960, 563, 5472, 4930, 3370, 7046, 7457, 786, 581, 5612, 543, 18385, 1863, 585, 3025, 547, 1224, 543, 4647, 269, 1284, 616, 11179, 2324, 609, 938, 2278, 2950, 547, 2824, 519, 1655, 3903, 540, 12689, 3681, 267, 4867, 1373, 3989, 585, 713, 4760, 607, 5205, 281, 11300, 12780, 21922, 27691, 732, 1325, 833, 630, 6717, 15760, 4149, 288, 264, 0, 308, 3899, 8143, 12939, 540, 700, 788, 573, 32203, 818, 8157, 639, 630, 289, 13361, 11340, 18649, 267, 3502, 739, 2350, 320, 264, 538, 12647, 593, 519, 7013, 23793, 540, 922, 3892, 2039, 454, 304, 1597, 843, 267, 570, 1421, 674, 329, 15505, 267, 661, 1421, 674, 329, 749, 8583, 267, 589, 1421, 30623, 541, 267, 808, 1421, 31928, 628, 10402, 267, 570, 1421, 1299, 700, 752, 6390, 267, 670, 11607, 298, 269, 630, 1708, 272, 1040, 16592, 8143, 12939, 540, 700, 788, 573, 32203, 818, 8157, 639, 630, 289, 13361, 11340, 18649, 267, 3502, 739, 2350, 320, 264, 538, 12647, 593, 519, 7013, 23793, 540, 922, 3892, 2039, 269, 13056, 10044, 7439, 557, 326, 3821, 267, 476, 6078, 267, 476, 2004, 268, 6434, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 276, 3953, 275, 11721, 333, 18192, 6078, 328, 271, 269, 4343, 274, 273, 454, 13775, 538, 293, 320, 10044, 7439, 557, 326, 3821, 454, 15100, 476, 1708, 272, 519, 22439, 454, 763, 11848, 512, 611, 335, 1961, 20544, 700, 788, 573, 32203, 818, 8157, 639, 814, 513, 2235, 2794, 6897, 3892, 543, 519, 20280, 525, 630, 293, 3317, 8113, 663, 1014, 15142, 264, 7436, 922, 7013, 2865, 3970, 538, 2342, 269, 10738, 713, 1858, 267, 476, 4375, 272, 2067, 543, 476, 6434, 14931, 12647, 609, 700, 269, 818, 8157, 639, 723, 1044, 4857, 267, 540, 799, 476, 9262, 260, 616, 1657, 519, 1726, 5202, 269, 634, 12647, 16475, 700, 269, 818, 8157, 639, 6175, 538, 15820, 689, 5045, 547, 5087, 267, 799, 2164, 689, 922, 2837, 7375, 269, 634, 5354, 540, 519, 6753, 616, 693, 513, 2539, 10720, 2011, 2837, 982, 476, 1556, 9180, 799, 568, 6697, 547, 513, 1216, 2837, 2282, 476, 1691, 9180, 269, 901, 568, 10924, 547, 581, 2282, 519, 5580, 8143, 12939, 585, 700, 269, 818, 8157, 639, 269, 769, 12647, 602, 9765, 713, 3328, 4832, 1216, 2837, 630, 272, 5147, 1107, 476, 1428, 5181, 1070, 4264, 5095, 3100, 547, 581, 4686, 269, 769, 15911, 12647, 267, 1272, 4783, 25314, 520, 2583, 616, 10924, 547, 2491, 519, 9000, 540, 700, 269, 818, 8157, 639, 267, 1034, 2693, 676, 7133, 519, 21872, 543, 11174, 5933, 269, 634, 3892, 5526, 547, 581, 27524, 582, 10535, 267, 609, 835, 1804, 7187, 1858, 5087, 540, 476, 4792, 4113, 301, 543, 835, 9674, 7013, 968, 529, 1633, 6100, 8307, 1079, 6753, 540, 700, 269, 818, 8157, 639, 616, 1634, 585, 519, 1858, 1063, 4234, 6421, 476, 7830, 269, 6434, 543, 476, 5038, 269, 4375, 4113, 301, 269, 769, 713, 851, 540, 519, 20280, 525, 267, 519, 12647, 616, 2693, 1932, 3636, 547, 3984, 700, 269, 818, 8157, 639, 607, 1034, 540, 873, 616, 13883, 2630, 476, 10384, 544, 513, 4732, 7456, 269, 901, 949, 849, 581, 519, 2013, 538, 519, 7187, 2865, 3148, 267, 5087, 540, 476, 3583, 4113, 301, 267, 1141, 1152, 476, 1556, 5095, 616, 6592, 269, 4107, 540, 519, 12647, 538, 713, 1858, 3335, 4386, 2630, 476, 6110, 544, 513, 4732, 7456, 269, 700, 269, 818, 8157, 639, 5095, 616, 6213, 547, 3165, 32456, 267, 543, 10053, 3165, 5095, 949, 581, 1776, 2566, 528, 12145, 922, 3892, 269, 769, 4334, 547, 1216, 4703, 538, 519, 4400, 11848, 1141, 700, 269, 818, 8157, 639, 1152, 6818, 538, 13719, 267, 3165, 1652, 22253, 267, 538, 519, 20280, 525, 789, 1071, 7721, 626, 609, 3165, 538, 476, 9032, 260, 540, 519, 4681, 269, 6820, 8337, 814, 2907, 9168, 519, 1604, 540, 519, 20280, 525, 267, 543, 5095, 540, 700, 269, 818, 8157, 639, 616, 693, 3463, 538, 1082, 540, 519, 1507, 543, 13719, 1216, 4703, 693, 1970, 31556, 269, 4429, 21812, 301, 528, 19886, 2160, 540, 3163, 543, 5303, 630, 18199, 26214, 264, 7732, 454, 26397, 538, 1382, 1344, 1062, 454, 18404, 20631, 17004, 2407, 6221, 2594, 454, 4537, 12976, 3688, 609, 2147, 2140, 610, 17161, 563, 22546, 338, 540, 2584, 6016, 1675, 593, 1272, 3620, 626, 800, 543, 8143, 2566, 4187, 7592, 2066, 5095, 540, 667, 4592, 32166, 1016, 984, 2675, 3120, 715, 553, 21105, 631, 690, 17495, 600, 267, 715, 20364, 282, 8734, 545, 545, 267, 2098, 528, 3570, 27956, 4472, 6359, 320, 282, 623, 1068, 1245, 328, 267, 595, 3626, 282, 26701, 27255, 267, 8776, 22978, 715, 5919, 15840, 337, 526, 528, 742, 267, 17363, 630, 11990, 25067, 1299, 25860, 13456, 1421, 476, 1001, 280, 264, 7072, 5029, 3359, 946, 2825, 10291, 547, 6474, 741, 26737, 609, 519, 2104, 8244, 540, 2200, 543, 2825, 2175, 269, 15448, 538, 519, 9588, 543, 4908, 540, 2825, 10291, 971, 607, 2584, 6016, 1675, 4429, 25215, 976, 525, 547, 25833, 18323, 12071, 551, 6672, 538, 5020, 3778, 3004, 1080, 540, 12866, 667, 4592, 32166, 15661, 630, 291, 760, 614, 320, 281, 667, 4592, 17232, 13160, 264, 689, 7756, 26365, 12832, 1127, 2494, 11230, 267, 570, 2174, 553, 334, 282, 918, 329, 19508, 3464, 8615, 731, 267, 1656, 619, 282, 631, 6064, 5576, 537, 267, 1677, 651, 282, 623, 1068, 1245, 328, 267, 595, 3626, 282, 631, 690, 17495, 600, 267, 715, 20364, 715, 5919, 700, 3996, 577, 322, 651, 267, 5292, 12027, 630, 300, 7894, 296, 17985, 267, 476, 1708, 272, 264, 307, 17687, 814, 7096, 2360, 593, 23020, 3157, 607, 6700, 676, 519, 3573, 8390, 538, 2773, 540, 7103, 2066, 5210, 269, 16480, 267, 519, 946, 540, 11385, 908, 2837, 630, 10499, 264, 20816, 538, 8047, 4429, 289, 5802, 8143, 10892, 568, 11874, 17047, 609, 2205, 18834, 538, 606, 2309, 2065, 9190, 19800, 12891, 571, 25206, 267, 15541, 3873, 773, 327, 282, 5696, 2317, 14513, 267, 4223, 628, 24586, 282, 9530, 6199, 267, 700, 27198, 7304, 328, 2088, 282, 17240, 330, 7219, 523, 267, 15576, 10937, 282, 966, 1779, 517, 523, 267, 3967, 928, 282, 31509, 7637, 267, 570, 1301, 334, 630, 310, 13704, 5174, 331, 871, 6202, 14539, 267, 5549, 1421, 476, 1001, 279, 264, 303, 9438, 532, 519, 2360, 540, 2518, 2333, 538, 5210, 593, 2068, 2205, 18834, 568, 4101, 267, 2523, 585, 2825, 2309, 2065, 4551, 267, 1317, 19800, 8516, 949, 581, 1114, 6053, 4299, 676, 2837, 4429, 299, 340, 9369, 267, 8751, 328, 623, 5919, 681, 656, 8403, 267, 6742, 16210, 2088, 966, 5919, 918, 2753, 7564, 267, 28741, 1731, 6390, 282, 3026, 1998, 664, 523, 267, 9149, 13453, 282, 744, 329, 8403, 267, 4165, 16210, 661, 269, 918, 269, 630, 306, 1440, 5424, 267, 476, 1001, 280, 264, 299, 1389, 616, 513, 8789, 4183, 540, 519, 11848, 5251, 543, 513, 17122, 1448, 540, 6237, 543, 2518, 6915, 613, 12950, 15203, 269, 1284, 6394, 513, 11159, 4295, 689, 513, 4400, 11848, 8235, 538, 27623, 590, 1998, 321, 731, 585, 6687, 32611, 12779, 565, 574, 333, 1670, 4429, 8867, 327, 10458, 267, 10218, 282, 2549, 22861, 18863, 267, 21281, 282, 19258, 517, 267, 17214, 548, 710, 282, 645, 3430, 626, 328, 267, 1656, 16699, 282, 661, 3394, 15842, 1372, 267, 5842, 5112, 667, 5919, 808, 10134, 523, 267, 13191, 772, 24863, 282, 17833, 1074, 520, 267, 15535, 528, 282, 3026, 12320, 517, 523, 267, 1530, 653, 334, 282, 15281, 655, 601, 7564, 267, 623, 2131, 6390, 282, 6833, 4565, 534, 3832, 267, 3627, 590, 5919, 3331, 502, 330, 1633, 267, 645, 329, 21417, 337, 333, 282, 645, 329, 23152, 330, 2006, 267, 932, 337, 3563, 630, 11990, 25067, 1299, 25860, 267, 476, 1708, 271, 264, 7212, 621, 568, 1134, 1634, 602, 7786, 616, 6213, 547, 2837, 267, 875, 789, 786, 581, 4299, 676, 5571, 2518, 8337, 3788, 7334, 1317, 891, 6114, 616, 15491, 543, 3235, 10999, 1950, 269, 1284, 12649, 519, 3267, 0, 1428, 16340, 9335, 5013, 585, 3214, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1012, 3689, 4305, 692, 258, 672, 2025, 815, 703, 9272, 3488, 29551, 3522, 20732, 11714, 20686, 7549, 281, 1412, 4917, 258, 672, 1820, 3488, 396, 510, 3264, 7549, 21134, 12811, 9686, 13833, 3522, 21170, 281, 3299, 1439, 8782, 30386, 8931, 258, 672, 952, 476, 274, 10922, 2025, 2999, 476, 277, 912, 258, 1363, 1820, 3488, 257, 29551, 3522, 21833, 7549, 3378, 267, 25602, 6459, 3264, 476, 9326, 23970, 9261, 5284, 370, 7846, 257, 10807, 825, 454, 258, 672, 8640, 476, 277, 10922, 2025, 2999, 476, 1321, 912, 258, 1363, 1820, 3488, 257, 396, 354, 3378, 10948, 7846, 16068, 9686, 31589, 21833, 4138, 4344, 25986, 9841, 21660, 2843, 506, 21268, 6459, 20686, 4709, 2843, 506, 32648, 4814, 3378, 257, 5073, 258, 672, 8640, 476, 1321, 10922, 2025, 2999, 476, 1626, 912, 258, 1363, 1820, 3488, 257, 396, 363, 2843, 375, 19628, 16648, 6459, 19628, 2843, 505, 3264, 3378, 20265, 4814, 9686, 3378, 2843, 498, 20686, 2843, 504, 3522, 10528, 4814, 20686, 3378, 257, 5073, 258, 672, 8640, 476, 1626, 10922, 2025, 912, 258, 1363, 1820, 3488, 257, 9326, 2843, 375, 19628, 16648, 6459, 19628, 595, 7838, 306, 3036, 834, 5073, 258, 672, 3116, 912, 258, 1363, 1820, 3488, 257, 396, 350, 20434, 20732, 7549, 21134, 20413, 3522, 6459, 18194, 31124, 16044, 491, 4344, 22147, 3378, 10590, 17210, 1012, 5822, 4305, 692, 258, 2119, 912, 258, 672, 2025, 815, 703, 9272, 3488, 29551, 3522, 20732, 11714, 20686, 7549, 281, 1412, 4917, 258, 672, 1820, 3488, 396, 510, 3264, 7549, 21134, 12811, 9686, 13833, 3522, 21170, 281, 3299, 1439, 8782, 30386, 8931, 258, 672, 952, 476, 274, 10922, 2025, 2999, 476, 277, 912, 258, 1363, 1820, 3488, 257, 29551, 3522, 21833, 7549, 3378, 267, 25602, 6459, 3264, 476, 9326, 23970, 9261, 5284, 370, 7846, 257, 10807, 825, 454, 258, 672, 8640, 476, 277, 10922, 2025, 2999, 476, 1321, 912, 258, 1363, 1820, 3488, 257, 396, 354, 3378, 10948, 7846, 16068, 9686, 31589, 21833, 4138, 4344, 25986, 9841, 21660, 2843, 506, 21268, 6459, 20686, 4709, 2843, 506, 32648, 4814, 3378, 257, 5073, 258, 672, 8640, 476, 1321, 10922, 2025, 2999, 476, 1626, 912, 258, 1363, 1820, 3488, 257, 396, 363, 2843, 375, 19628, 16648, 6459, 19628, 2843, 505, 3264, 3378, 20265, 4814, 9686, 3378, 2843, 498, 20686, 2843, 504, 3522, 10528, 4814, 20686, 3378, 257, 5073, 258, 672, 8640, 476, 1626, 10922, 2025, 912, 258, 1363, 1820, 3488, 257, 9326, 2843, 375, 19628, 16648, 6459, 19628, 595, 7838, 306, 3036, 834, 5073, 258, 672, 3116, 912, 258, 1363, 1820, 3488, 257, 396, 350, 20434, 20732, 7549, 21134, 20413, 3522, 6459, 18194, 31124, 16044, 491, 4344, 22147, 3378, 10590, 5073, 258, 4849, 28759, 912, 258, 672, 1820, 2891, 29551, 9924, 11714, 8563, 3264, 20434, 14359, 3264, 16044, 484, 3264, 6459, 3378, 3264, 24893, 25986, 6459, 3378, 10590, 2020, 1012, 12059, 4305, 692, 339, 787, 912, 825, 1003, 815, 703, 9272, 3488, 11767, 930, 1297, 281, 1412, 4917, 825, 1820, 3488, 2791, 9411, 281, 3299, 1439, 8782, 30386, 8931, 825, 952, 1003, 3436, 476, 271, 912, 1038, 1820, 2891, 272, 8442, 825, 454, 825, 8640, 1003, 2999, 476, 271, 912, 1038, 1820, 2891, 268, 272, 5602, 825, 3116, 912, 1038, 1820, 263, 271, 994, 21955, 28759, 912, 825, 1820, 2891, 2791, 9411, 711, 8870, 256, 8442, 0, 5035, 12384, 305, 2393, 3890, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 4009, 15461, 15305, 2187, 1038, 15981, 692, 1038, 2433, 12407, 4009, 15461, 15305, 281, 8870, 454, 1038, 15981, 692, 1038, 1582, 4732, 13645, 15461, 15305, 815, 4009, 15461, 15305, 692, 825, 1219, 1449, 318, 29674, 4311, 2187, 1038, 952, 2612, 4311, 3052, 340, 612, 2878, 476, 273, 910, 1582, 4732, 13645, 15461, 15305, 3738, 2999, 476, 271, 269, 9826, 912, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 692, 825, 1219, 1449, 30648, 2739, 5334, 13645, 4311, 2187, 1038, 703, 15058, 318, 29674, 815, 703, 4311, 3052, 340, 612, 994, 1038, 952, 703, 15058, 318, 29674, 2878, 476, 273, 2652, 703, 4311, 4732, 13645, 15461, 15305, 2187, 2018, 2132, 6936, 692, 825, 1219, 4114, 5334, 336, 10174, 4311, 2187, 1038, 1582, 3052, 340, 612, 815, 1582, 4732, 13645, 15461, 15305, 1315, 476, 273, 454, 1038, 4831, 815, 476, 272, 454, 1038, 1247, 1582, 6745, 652, 318, 29674, 3890, 2652, 8771, 912, 2018, 1582, 3052, 340, 612, 815, 630, 1345, 3052, 340, 612, 1341, 630, 1345, 4732, 13645, 15461, 15305, 270, 1345, 3052, 340, 612, 4297, 1315, 476, 273, 454, 2018, 4831, 6834, 476, 272, 454, 1038, 1582, 4732, 13645, 318, 10174, 815, 1582, 3052, 340, 612, 692, 825, 1219, 1184, 5334, 13645, 4311, 2187, 1038, 1582, 269, 13627, 5334, 336, 10174, 4590, 1038, 952, 1582, 6745, 652, 30648, 2739, 5334, 13645, 10031, 2018, 2132, 1582, 4732, 13645, 318, 10174, 454, 0, 5814, 21795, 607, 19073, 7531, 3698, 2189, 28767, 29254, 2187, 825, 8173, 1038, 4032, 2189, 2418, 585, 782, 897, 338, 538, 1239, 7406, 543, 1820, 3732, 2418, 563, 825, 8173, 825, 897, 338, 815, 1592, 29254, 31815, 8435, 2020, 825, 585, 897, 538, 897, 338, 912, 1038, 796, 2294, 815, 630, 4206, 314, 3712, 316, 1040, 684, 1664, 4590, 1038, 1820, 6600, 257, 346, 6352, 263, 684, 2294, 14587, 2189, 3688, 538, 2715, 3712, 348, 281, 2715, 4206, 314, 3712, 4940, 32643, 314, 271, 316, 9574, 346, 4206, 314, 3712, 4940, 32643, 314, 272, 316, 9574, 2715, 4206, 314, 3712, 4940, 32643, 314, 273, 316, 348, 29389, 9239, 3698, 14816, 14067, 1738, 22674, 338, 29254, 2187, 825, 8173, 1038, 853, 8692, 782, 897, 338, 689, 2016, 17093, 5627, 11979, 2418, 610, 562, 753, 563, 825, 8173, 825, 585, 897, 538, 17093, 31815, 8435, 912, 1038, 952, 7003, 9230, 4206, 314, 3712, 316, 1040, 684, 1664, 28829, 2652, 476, 272, 912, 2018, 17093, 6155, 1886, 263, 3712, 8435, 17342, 3712, 3910, 538, 2897, 18989, 994, 825, 2132, 17093, 7531, 3698, 7643, 318, 5228, 5091, 520, 8135, 29254, 267, 942, 22674, 2187, 825, 1948, 307, 7495, 302, 556, 4067, 4626, 652, 2086, 547, 4831, 585, 31633, 454, 825, 8173, 1038, 8073, 4737, 5627, 7643, 2094, 1101, 30220, 538, 513, 1239, 18134, 267, 1572, 1412, 339, 574, 652, 2086, 23823, 825, 8173, 825, 1376, 815, 19073, 30419, 5091, 520, 8135, 29254, 314, 5503, 22674, 4940, 559, 665, 314, 271, 7481, 825, 17093, 9131, 339, 574, 652, 2086, 11172, 815, 17093, 314, 5503, 22674, 4940, 14090, 18692, 1038, 25754, 524, 22710, 281, 5180, 9638, 323, 11053, 574, 539, 12265, 9638, 323, 30419, 5091, 520, 8135, 6262, 22710, 264, 910, 1376, 1040, 20135, 26000, 6948, 3890, 4917, 825, 2132, 17093, 454, 0, 5228, 3529, 583, 2812, 1104, 27661, 3698, 4020, 29728, 263, 514, 4650, 267, 8578, 338, 2187, 825, 952, 538, 4650, 543, 536, 12028, 912, 1038, 967, 22561, 454, 1038, 585, 1775, 538, 2039, 12759, 6357, 12028, 15892, 2018, 2119, 912, 3546, 967, 284, 514, 4650, 28827, 6357, 12028, 5157, 7481, 3546, 2736, 454, 2018, 4849, 28759, 912, 3546, 1780, 454, 3546, 1948, 15239, 2251, 547, 581, 2944, 692, 1038, 3597, 284, 21698, 11966, 6357, 12028, 5157, 7481, 1038, 3597, 16000, 284, 24554, 29728, 263, 514, 4650, 11468, 785, 3910, 8578, 338, 5157, 266, 272, 281, 7481, 1038, 3597, 16192, 284, 24554, 29728, 263, 514, 4650, 314, 785, 266, 272, 281, 3910, 8578, 338, 5157, 266, 272, 281, 7481, 1038, 2132, 3597, 19638, 3698, 538, 867, 1068, 571, 951, 531, 20172, 2187, 825, 952, 3597, 912, 1038, 538, 867, 1068, 571, 951, 531, 20172, 16000, 994, 1038, 1820, 3597, 27841, 2676, 1038, 538, 867, 1068, 571, 951, 531, 20172, 16192, 2020, 3698, 840, 867, 1068, 571, 951, 531, 20172, 2187, 825, 952, 3597, 912, 1038, 1820, 3597, 27841, 2676, 1038, 840, 867, 1068, 571, 951, 531, 20172, 16000, 994, 1038, 840, 867, 1068, 571, 951, 531, 20172, 16192, 2020, 3698, 1292, 10031, 825, 538, 4650, 17342, 273, 267, 272, 267, 274, 267, 275, 2639, 825, 536, 12028, 17342, 272, 267, 273, 267, 274, 267, 275, 2639, 825, 3597, 284, 24554, 29728, 263, 514, 4650, 267, 8578, 338, 994, 825, 1820, 834, 1693, 13090, 514, 4650, 3071, 315, 333, 4840, 825, 538, 867, 1068, 571, 951, 531, 20172, 994, 825, 1820, 1412, 315, 333, 7055, 825, 1820, 1412, 3071, 13090, 2181, 4650, 3071, 13090, 315, 333, 7055, 825, 840, 867, 1068, 571, 951, 531, 20172, 2020, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 23922, 825, 1292, 3890, 0, 1029, 10461, 1029, 815, 1412, 1335, 822, 880, 20692, 28847, 17084, 815, 8173, 825, 901, 568, 547, 29295, 707, 3787, 12879, 1983, 563, 20701, 454, 258, 3519, 3200, 8870, 547, 9352, 5569, 543, 2132, 519, 5569, 563, 258, 18204, 619, 849, 1331, 2942, 2338, 269, 1924, 585, 2942, 2338, 2099, 538, 1079, 781, 9148, 563, 258, 18204, 619, 616, 476, 3953, 19229, 9981, 563, 3698, 8870, 15461, 10734, 2435, 9272, 2187, 825, 9352, 284, 5257, 454, 825, 9206, 284, 271, 454, 825, 952, 3403, 283, 271, 912, 1038, 9206, 284, 272, 454, 1038, 3403, 284, 6358, 265, 8987, 272, 2020, 825, 1247, 3403, 912, 1038, 9352, 284, 1598, 9272, 261, 272, 11924, 321, 2435, 454, 1038, 3403, 284, 6358, 9563, 272, 692, 825, 952, 9206, 2525, 272, 912, 1038, 1007, 321, 2435, 284, 5257, 454, 1038, 952, 9352, 15631, 272, 316, 2525, 262, 272, 12466, 2018, 585, 1775, 538, 2039, 12759, 6357, 2435, 9984, 272, 2187, 3546, 952, 1775, 2525, 262, 272, 12466, 7386, 1007, 321, 2435, 284, 2908, 321, 2435, 22065, 271, 7055, 3546, 3116, 912, 7386, 1007, 321, 2435, 284, 2908, 321, 2435, 22065, 272, 7055, 1038, 3116, 912, 2018, 1775, 284, 6352, 6357, 2435, 9984, 272, 454, 2018, 1247, 1775, 285, 284, 271, 1384, 3546, 952, 9352, 5157, 316, 2525, 262, 272, 12466, 7386, 1007, 321, 2435, 284, 2908, 321, 2435, 22065, 272, 7055, 7386, 1775, 284, 328, 268, 272, 454, 7386, 2736, 454, 3546, 1007, 321, 2435, 284, 2908, 321, 2435, 22065, 271, 7055, 3546, 1775, 284, 328, 268, 272, 454, 2018, 1247, 1775, 285, 284, 271, 1384, 3546, 952, 9352, 5157, 316, 2525, 262, 272, 12466, 7386, 1007, 321, 2435, 284, 2908, 321, 2435, 22065, 271, 7055, 3546, 3116, 912, 7386, 1007, 321, 2435, 284, 2908, 321, 2435, 22065, 272, 7055, 3546, 1775, 284, 328, 268, 272, 454, 1038, 2132, 1007, 321, 2435, 454, 825, 2132, 9352, 454, 825, 1780, 7531, 258, 31095, 4255, 547, 1449, 707, 3070, 454, 258, 3698, 1449, 318, 15759, 518, 15461, 10734, 2435, 3890, 1384, 3698, 1292, 10031, 825, 1820, 8870, 15461, 10734, 2435, 8987, 1015, 2020, 604, 476, 6449, 4067, 1029, 2525, 262, 1029, 10852, 23922, 825, 1292, 3890, 0, 5228, 3529, 583, 2812, 1104, 27661, 258, 18586, 540, 519, 3529, 689, 840, 4650, 543, 538, 4650, 21986, 531, 454, 258, 323, 821, 1079, 2409, 1210, 476, 272, 1862, 338, 997, 532, 519, 2016, 840, 543, 538, 1931, 1592, 454, 258, 273, 1862, 10139, 532, 4994, 338, 849, 547, 519, 3252, 602, 4994, 949, 581, 10465, 4994, 454, 3698, 4020, 29728, 263, 514, 4650, 267, 2181, 4650, 2567, 567, 1948, 6748, 14253, 532, 540, 519, 454, 825, 952, 538, 4650, 912, 1038, 3597, 284, 21698, 11966, 263, 2181, 4650, 314, 271, 7481, 1038, 1535, 284, 514, 4650, 28827, 263, 2181, 4650, 314, 271, 7481, 1038, 3597, 16000, 284, 24554, 29728, 263, 514, 4650, 314, 271, 281, 343, 3910, 2181, 4650, 314, 272, 281, 343, 266, 272, 7481, 1038, 3597, 16192, 284, 24554, 29728, 263, 514, 4650, 20572, 266, 272, 281, 3910, 2181, 4650, 20572, 266, 272, 281, 7481, 1038, 2132, 3597, 454, 3698, 538, 867, 1068, 571, 951, 531, 20172, 2187, 825, 952, 3597, 912, 1038, 538, 867, 1068, 571, 951, 531, 20172, 16000, 994, 1038, 1820, 3597, 27841, 2676, 1038, 538, 867, 1068, 571, 951, 531, 20172, 16192, 2020, 3698, 840, 867, 1068, 571, 951, 531, 20172, 2187, 825, 952, 3597, 912, 1038, 1820, 3597, 27841, 2676, 1038, 840, 867, 1068, 571, 951, 531, 20172, 16000, 994, 1038, 840, 867, 1068, 571, 951, 531, 20172, 16192, 994, 3698, 4020, 4671, 872, 318, 6748, 16229, 532, 263, 514, 4650, 267, 328, 272, 267, 328, 273, 267, 2181, 4650, 28872, 272, 28872, 273, 264, 2433, 258, 3602, 533, 272, 28872, 273, 616, 840, 4650, 10465, 476, 1948, 4994, 338, 543, 1775, 272, 267, 328, 273, 616, 538, 4650, 8161, 338, 454, 825, 952, 1775, 272, 27045, 328, 273, 912, 1038, 3597, 284, 21698, 11966, 263, 2181, 4650, 314, 335, 272, 7481, 1038, 967, 284, 514, 4650 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 2979, 1104, 21762, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 692, 3698, 10822, 541, 1125, 6025, 13759, 2187, 825, 5727, 3519, 3200, 547, 11741, 9352, 9479, 454, 825, 8173, 825, 11667, 815, 5286, 269, 4364, 1014, 6025, 13759, 267, 7852, 284, 272, 264, 18020, 7183, 2639, 825, 9352, 815, 5286, 25910, 263, 27729, 284, 12639, 17482, 6025, 13759, 4917, 825, 9352, 314, 339, 13759, 3436, 11667, 316, 815, 476, 272, 454, 825, 2132, 9352, 692, 3698, 12297, 7272, 6055, 17635, 272, 267, 642, 273, 2187, 825, 5727, 7476, 519, 12297, 1587, 540, 519, 1079, 10321, 563, 825, 952, 589, 815, 1496, 320, 272, 267, 513, 273, 267, 513, 274, 316, 30974, 645, 815, 1496, 321, 272, 267, 536, 273, 267, 536, 274, 22049, 1287, 454, 825, 12297, 7272, 6055, 10490, 267, 645, 264, 2652, 630, 320, 272, 2608, 536, 272, 264, 1341, 630, 320, 273, 2608, 536, 273, 264, 1341, 630, 320, 274, 2608, 536, 274, 994, 825, 3020, 454, 825, 18452, 10321, 1590, 581, 519, 1482, 3259, 563, 825, 8173, 825, 2132, 2040, 5416, 2608, 536, 585, 513, 267, 536, 538, 23407, 17635, 272, 267, 642, 273, 264, 9239, 3698, 9588, 263, 19066, 2187, 825, 5727, 14303, 5281, 519, 10230, 3259, 1315, 9588, 540, 519, 6152, 27969, 454, 825, 2132, 21762, 5560, 582, 7272, 6055, 263, 19066, 267, 6152, 264, 9239, 3698, 16726, 17635, 272, 267, 642, 273, 2187, 825, 5727, 305, 26559, 540, 519, 12297, 1587, 1299, 519, 1587, 540, 519, 3172, 6421, 540, 10321, 27969, 454, 825, 2132, 12297, 7272, 6055, 17635, 272, 267, 642, 273, 264, 1315, 630, 332, 1725, 3363, 17635, 272, 264, 2608, 9588, 17635, 273, 264, 1341, 1547, 1822, 1822, 1822, 4905, 9239, 3698, 5173, 5334, 25630, 640, 24624, 338, 263, 1417, 619, 2187, 825, 5727, 24280, 519, 16726, 5119, 338, 12163, 825, 10486, 318, 600, 784, 318, 1417, 619, 815, 11713, 825, 585, 4099, 538, 7740, 912, 1038, 1016, 5334, 25630, 640, 815, 11713, 1038, 585, 524, 538, 7740, 912, 2018, 1016, 5334, 25630, 640, 6910, 4433, 25630, 640, 263, 22487, 267, 524, 4917, 1038, 10486, 318, 600, 784, 318, 1417, 619, 6910, 4433, 889, 5334, 25630, 640, 994, 825, 2132, 10486, 318, 600, 784, 318, 1417, 619, 7531, 3698, 2721, 318, 743, 31255, 263, 27523, 267, 12440, 318, 1749, 13448, 267, 12440, 318, 1417, 619, 267, 24936, 657, 284, 272, 2187, 825, 5727, 19352, 519, 3892, 540, 13421, 12163, 825, 12301, 8807, 2682, 6600, 12127, 1125, 14352, 275, 267, 476, 274, 1070, 546, 7032, 284, 8182, 994, 825, 12301, 31892, 2660, 263, 27523, 18020, 476, 271, 3910, 10321, 18020, 476, 272, 3910, 524, 284, 743, 13831, 318, 1749, 13448, 267, 4699, 777, 8782, 322, 944, 5073, 825, 12301, 31892, 2660, 18692, 1038, 12440, 318, 1417, 619, 18020, 476, 271, 3910, 12440, 318, 1417, 619, 18020, 476, 272, 16689, 1038, 524, 8782, 19009, 22779, 1038, 13672, 284, 271, 269, 277, 2676, 1038, 6316, 3712, 832, 8782, 18872, 22779, 1038, 1899, 342, 573, 2195, 284, 273, 454, 825, 12467, 825, 12301, 269, 9471, 8443, 268, 1314, 3930, 267, 24936, 657, 267, 910, 1314, 3930, 267, 24936, 657, 7481, 825, 12301, 6745, 697, 9078, 599, 719, 4590, 825, 12301, 20481, 4590, 0, 12163, 28846, 10001, 454, 743, 338, 910, 865, 594, 666, 946, 713, 1599, 2066, 6119, 630, 663, 1631, 621, 781, 593, 575, 603, 889, 2066, 3292, 994, 20701, 5814, 15259, 476, 1948, 547, 2312, 5496, 952, 538, 12363, 454, 5814, 3760, 476, 1948, 547, 3713, 1018, 5665, 1062, 621, 568, 1373, 2196, 593, 692, 7773, 815, 8771, 282, 13274, 815, 8771, 282, 522, 628, 815, 8771, 454, 258, 4466, 519, 3760, 1373, 2196, 910, 594, 2196, 29974, 31583, 593, 1250, 7193, 693, 1753, 865, 1775, 1616, 930, 540, 519, 15259, 269, 17882, 12981, 547, 1869, 960, 454, 604, 3760, 269, 17882, 3890, 2652, 834, 20360, 3298, 13426, 825, 3094, 815, 6936, 476, 1948, 891, 1630, 1961, 753, 616, 585, 5488, 10992, 540, 799, 15259, 568, 1373, 2196, 454, 19197, 3760, 269, 17882, 3890, 2652, 834, 31690, 5060, 13426, 825, 13274, 815, 6936, 454, 825, 1948, 1820, 2891, 2005, 5526, 596, 616, 4881, 12380, 267, 594, 993, 2823, 532, 15259, 12981, 630, 10233, 267, 804, 338, 3092, 264, 585, 513, 1732, 1995, 5602, 12828, 912, 825, 522, 628, 815, 6936, 454, 825, 1948, 1820, 2891, 6701, 596, 4881, 13013, 311, 286, 5213, 1405, 1416, 827, 596, 1701, 9239, 3698, 804, 338, 263, 2567, 476, 1948, 547, 2312, 519, 12363, 454, 825, 952, 3094, 912, 1038, 15259, 269, 17882, 2891, 743, 338, 8442, 476, 1948, 21757, 12363, 5496, 454, 825, 8640, 13274, 912, 1038, 15259, 269, 17882, 2891, 27234, 8442, 476, 1948, 6697, 540, 804, 338, 585, 29974, 31583, 13624, 514, 5060, 454, 825, 8640, 522, 628, 912, 1038, 15259, 269, 17882, 2891, 27234, 8442, 476, 1948, 713, 1522, 960, 585, 13013, 311, 0, 5228, 28184, 5793, 1104, 27661, 5228, 28184, 5793, 1104, 5048, 7901, 692, 5228, 623, 6579, 1104, 12005, 307, 330, 267, 12005, 692, 24987, 815, 18358, 288, 3299, 1412, 291, 3299, 1412, 288, 3299, 1412, 289, 3299, 1412, 290, 23300, 23896, 815, 22373, 9223, 269, 272, 264, 5808, 723, 4465, 1034, 11831, 517, 546, 262, 7775, 2140, 286, 2580, 834, 9223, 269, 273, 264, 5808, 568, 1634, 607, 1688, 540, 5601, 286, 20350, 2018, 834, 9223, 269, 274, 264, 6904, 13474, 723, 4465, 1034, 1158, 7484, 2140, 286, 20350, 2018, 834, 9223, 269, 275, 264, 6904, 11833, 723, 4465, 1034, 29073, 13477, 2140, 286, 20350, 2018, 834, 9223, 269, 276, 264, 6904, 13474, 723, 4465, 2910, 5183, 3013, 476, 1708, 271, 8119, 6540, 16557, 815, 476, 271, 454, 3698, 1404, 10031, 825, 2518, 6060, 454, 825, 4960, 815, 476, 274, 454, 825, 7688, 7272, 14128, 815, 570, 963, 767, 4590, 825, 7688, 7272, 14128, 26644, 2891, 25440, 13658, 2668, 22487, 263, 14596, 4917, 825, 7688, 7272, 14128, 269, 613, 5852, 2891, 12739, 271, 343, 10482, 271, 266, 268, 1015, 266, 268, 276, 5602, 825, 7688, 7272, 14128, 269, 6625, 4226, 14090, 2891, 20877, 923, 13624, 690, 334, 270, 8421, 334, 269, 4815, 5602, 825, 536, 326, 318, 13548, 815, 12005, 269, 13449, 2891, 3724, 3033, 270, 27165, 12988, 26666, 5602, 825, 7688, 7272, 14128, 12500, 326, 318, 13548, 318, 637, 1242, 815, 536, 326, 318, 13548, 269, 637, 1125, 9230, 14631, 271, 267, 476, 279, 3199, 1070, 12005, 269, 3198, 2316, 3201, 296, 3008, 994, 825, 7688, 7272, 14128, 269, 637, 1242, 815, 12005, 307, 330, 269, 20124, 15862, 263, 638, 714, 7272, 14128, 12500, 326, 318, 13548, 318, 637, 1242, 994, 825, 536, 326, 318, 3412, 326, 815, 22443, 263, 638, 714, 7272, 14128, 267, 3239, 284, 638, 714, 7272, 14128, 269, 637, 1242, 994, 825, 536, 326, 318, 3412, 326, 269, 2897, 3287, 284, 271, 267, 586, 284, 271, 267, 882, 19417, 284, 272, 267, 882, 12296, 284, 272, 2020, 692, 825, 1871, 815, 21642, 309, 541, 10797, 825, 1219, 2243, 276, 10031, 1038, 2518, 4960, 454, 1038, 536, 326, 318, 13548, 815, 12005, 269, 13449, 2891, 3724, 3033, 270, 27165, 12988, 26666, 5602, 1038, 7688, 7272, 14128, 12500, 326, 318, 13548, 318, 637, 1242, 815, 536, 326, 318, 13548, 269, 637, 1125, 9230, 14631, 271, 267, 476, 279, 3199, 1070, 12005, 269, 3198, 2316, 3201, 296, 3008, 994, 1038, 7688, 7272, 14128, 269, 637, 1242, 815, 12005, 307, 330, 269, 20124, 15862, 263, 638, 714, 7272, 14128, 12500, 326, 318, 13548, 318, 637, 1242, 994, 1038, 536, 326, 318, 3412, 326, 815, 22443, 263, 638, 714, 7272, 14128, 267, 3239, 284, 638, 714, 7272, 14128, 269, 637, 1242, 994, 1038, 536, 326, 318, 3412, 326, 269, 2897, 3287, 284, 271, 267, 586, 284, 271, 267, 882, 19417, 284, 272, 267, 882, 12296, 284, 272, 994, 1038, 2243, 21234, 815, 22443, 263, 638, 714, 7272, 14128, 267, 1257, 284, 325, 257, 346, 23896, 314, 275, 316, 348, 2580, 13944, 284, 2891, 290, 3711, 6319, 2580, 476, 2420, 1070, 536, 326, 6889, 258, 24879, 277, 7563, 2580, 535, 326, 6889, 258, 292, 280, 3633, 293, 276, 5602, 1038, 2243, 21234, 269, 2897, 3287, 284, 12573, 267, 586, 284, 1911, 267, 4463, 284, 3583, 267, 8700, 284, 12010, 994, 1038, 4781, 272, 815, 30521, 984, 583, 2023, 263, 638, 714, 7272, 14128, 267, 1257, 6889, 288, 269, 2419, 850, 2580, 536, 326, 6889, 258, 24879, 277, 7563, 2580, 13525, 284, 271, 267, 536, 323, 284, 272, 267, 4756, 284, 7407, 2676, 4449, 23526, 1871, 6889, 288, 5602, 1038, 4781, 272, 269, 2897, 3287, 284, 4335, 267, 586, 284, 1220, 267, 4463, 284, 2004, 267, 8700, 284, 1220, 2020, 1038, 4781, 273, 815, 30521, 984, 583, 2023, 263, 638, 714, 7272, 14128, 267, 1257, 6889, 289, 11065, 571, 7588, 2580, 536, 326, 6889, 258, 24879, 277, 7563, 2580, 13525, 284, 271, 267, 4756, 284, 7407, 2676, 4449, 23526, 1871, 6889, 289, 5602, 1038, 4781, 273, 269, 2897, 3287, 284, 12010, 267, 586, 284, 1220, 267, 4463, 284, 2004, 267, 8700, 284, 1220, 2020, 1038, 4781, 274, 815, 30521, 984, 583, 2023, 263, 638, 714, 7272, 14128, 267, 1257, 6889, 290, 269, 6635, 7217, 2088, 2580, 536, 326, 6889, 258, 24879, 277, 7563, 2580, 13525, 284, 271, 267, 4756, 284, 7407, 2676, 4449, 23526, 1871, 6889, 290, 5602, 1038, 4781, 274, 269, 2897, 3287, 284, 4335, 267, 586, 284, 4968, 267, 4463, 284, 2004, 267, 8700, 284, 1220, 2020, 1038, 4781, 275, 815, 30521, 984, 583, 2023, 263, 638, 714, 7272, 14128, 267, 1257, 6889, 291, 269, 308, 2607, 340, 599, 2580, 536, 326, 6889, 258, 24879, 277, 7563, 2580, 13525, 284, 271, 267, 4756, 284, 7407, 2676, 4449, 23526, 1871, 6889, 291, 5602, 1038, 4781, 275, 269, 2897, 3287, 284, 12010, 267, 586, 284, 4968, 267, 4463, 284, 2004, 267, 8700, 284, 1220, 2020, 1038, 1219, 2626, 276, 10031, 2018, 2518, 6060, 454, 2018, 2518, 2626, 454, 2018, 4960, 815, 476, 274, 454, 2018, 2626, 318, 641, 5406, 815, 1871, 10947, 4590, 2018, 1820, 263, 24987, 318, 641, 5406, 994, 2018, 1247, 4960, 3436, 476, 271, 912, 3546, 952, 2626, 318, 641, 5406, 2652, 2626, 314, 275, 14158, 7386, 6060, 6834, 476, 1015, 454, 7386, 3903, 815, 5048, 7901, 20481, 16769, 2891, 28557, 8382, 2580, 834, 6635, 7217, 2088, 17204, 8478, 267, 4465, 2910, 5183, 3013, 476, 1708, 271, 1701, 2676, 14030, 4449, 2385, 284, 638, 714, 7272, 14128, 994, 7386, 5048, 7901, 20481, 16769, 2891, 30360, 8274, 2580, 535, 257, 17812, 7806, 1637, 256, 1411, 723, 2480, 1819, 2715, 16557, 348, 2798, 856, 540, 476, 2004, 2580, 2385, 284, 638, 714, 7272, 14128, 994, 7386, 7688, 7272, 14128, 269, 5976, 9526, 4590, 7386, 2736, 454, 3546, 3116, 912, 7386, 4960, 20699, 476, 272, 454, 2018, 3116, 912, 3546, 5048, 7901, 20481, 16769, 2891, 18823, 8091, 8382, 2580, 535, 257, 310, 3994, 8382, 256, 8347, 11088, 8921, 5384, 2580, 2385, 284, 638, 714, 7272, 14128, 994, 3546, 5048, 7901, 20481, 16769, 2891, 30360, 8274, 2580, 535, 257, 2791, 723, 2480, 1819, 2715, 16557, 348, 2580, 2385, 284, 638, 714, 7272, 14128, 994, 3546, 7688, 7272, 14128, 269, 5976, 9526, 10797, 1038, 10505, 318, 31728, 815, 29502, 263, 638, 714, 7272, 14128, 267, 1257, 6889, 8138, 2466, 2580, 536, 323, 284, 273, 267, 536, 326, 6889, 258, 292, 280, 3633, 293, 276, 2580, 535, 326, 815, 834, 14937, 2580, 325, 2632, 284, 2891, 290, 3711, 6319, 2580, 1428, 1070, 12252, 284, 24987, 276, 994, 1038, 10505, 318, 31728, 269, 2897, 3287, 284, 24798, 267, 586, 284, 21878, 267, 4463, 284, 2568, 267, 8700, 284, 5611, 2020, 825, 1219, 2243, 275, 10031, 1038, 2518, 4960, 454, 1038, 536, 326, 318, 13548, 815, 12005, 269, 13449, 2891, 3724, 3033, 270, 27165, 12988, 26666, 5602, 1038, 7688, 7272, 14128, 12500, 326, 318, 13548, 318, 637, 1242, 815, 536, 326, 318, 13548, 269, 637, 1125, 9230, 14631, 271, 267, 476, 279, 3199, 1070, 12005, 269, 3198, 2316, 3201, 296, 3008, 994, 1038, 7688, 7272, 14128, 269, 637, 1242, 815, 12005, 307, 330, 269, 20124, 15862, 263, 638, 714, 7272, 14128, 12500, 326, 318, 13548, 318, 637, 1242, 994, 1038, 536, 326, 318, 3412, 326, 815, 22443, 263, 638, 714, 7272, 14128, 267, 3239, 284, 638, 714, 7272, 14128, 269, 637, 1242, 994, 1038, 536, 326, 318, 3412, 326, 269, 2897, 3287, 284, 271, 267, 586, 284, 271, 267, 882, 19417, 284, 272, 267, 882, 12296, 284, 272, 994, 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 ]
[ 543, 519, 10966, 9861, 6829, 538, 519, 13411, 1433, 29841, 584, 534, 268, 6866, 2242, 543, 568, 16637, 550, 630, 294, 664, 8248, 864, 1040, 1261, 568, 849, 519, 17082, 267, 519, 11566, 4145, 540, 782, 21071, 267, 543, 1034, 11932, 519, 2844, 518, 540, 519, 3003, 7122, 269, 2201, 602, 4063, 267, 5771, 267, 799, 1797, 19169, 267, 26342, 513, 7332, 607, 606, 1367, 945, 11207, 22347, 1080, 547, 16589, 267, 543, 2729, 547, 4196, 543, 705, 728, 676, 16589, 779, 786, 543, 3652, 630, 294, 664, 8248, 864, 1916, 5976, 1022, 1957, 454, 1607, 1382, 729, 5097, 5342, 538, 519, 9099, 4741, 540, 3013, 593, 519, 476, 2767, 1554, 540, 5239, 476, 1001, 278, 269, 25408, 267, 713, 729, 519, 1034, 10375, 942, 547, 4163, 856, 519, 1382, 267, 2094, 621, 568, 519, 12356, 1554, 540, 10847, 269, 4438, 1250, 3643, 547, 519, 1390, 9872, 267, 519, 6703, 2359, 1519, 1352, 16554, 744, 3405, 267, 945, 11461, 543, 15336, 803, 1472, 519, 9872, 267, 1208, 29087, 20888, 803, 269, 744, 9405, 547, 519, 7096, 6935, 602, 17706, 13554, 1063, 519, 1352, 16554, 543, 594, 267, 646, 2968, 835, 540, 1250, 954, 341, 773, 933, 525, 269, 1306, 649, 15336, 1472, 519, 1390, 9744, 267, 513, 2603, 729, 2139, 538, 1250, 25610, 1519, 519, 9923, 13196, 14222, 11265, 11768, 543, 1374, 563, 5278, 540, 713, 11265, 6272, 1331, 513, 1804, 26434, 11057, 2934, 543, 1295, 732, 1206, 630, 295, 19085, 1040, 634, 8545, 568, 519, 28795, 13486, 267, 799, 568, 27723, 1031, 1932, 3927, 6655, 610, 2864, 1217, 827, 519, 11755, 942, 547, 1004, 2713, 538, 267, 856, 267, 543, 1472, 519, 8378, 269, 1717, 267, 1813, 547, 519, 13120, 538, 519, 6639, 5823, 267, 9923, 13196, 616, 4867, 1210, 519, 561, 10796, 701, 6033, 269, 634, 5449, 568, 513, 9764, 2497, 602, 568, 25517, 950, 4259, 909, 519, 8122, 543, 621, 5932, 513, 17860, 950, 6743, 689, 519, 3330, 269, 4033, 982, 519, 11265, 6272, 267, 972, 941, 2934, 543, 2609, 2139, 538, 519, 9099, 4741, 540, 3013, 269, 1452, 3769, 23598, 543, 11067, 6703, 269, 28611, 267, 519, 11067, 9744, 568, 24617, 1898, 538, 1169, 9923, 4302, 2094, 1991, 547, 19480, 610, 11018, 883, 519, 10723, 11755, 1858, 267, 789, 723, 547, 1491, 1055, 741, 10887, 543, 11547, 741, 3952, 269, 901, 568, 513, 2245, 602, 814, 1044, 972, 585, 3833, 513, 1279, 942, 543, 814, 4797, 547, 581, 14553, 4767, 607, 1813, 547, 519, 991, 540, 11287, 27194, 2556, 538, 519, 1747, 540, 10847, 269, 769, 1840, 267, 519, 9923, 13196, 616, 4092, 538, 513, 32668, 543, 513, 2973, 1604, 5078, 585, 10647, 543, 11287, 741, 13411, 1554, 269, 9861, 519, 7332, 779, 1554, 540, 10847, 267, 513, 2603, 540, 2367, 267, 2021, 267, 543, 1453, 941, 2938, 538, 519, 6703, 1604, 269, 594, 11207, 1185, 606, 5863, 942, 1373, 538, 519, 26195, 597, 976, 540, 519, 9099, 4741, 540, 3013, 2523, 1317, 540, 519, 1390, 2754, 594, 1185, 267, 543, 519, 1249, 602, 621, 729, 1250, 1101, 942, 1373, 538, 513, 9923, 13196, 2094, 594, 993, 513, 4168, 563, 5475, 519, 1279, 16538, 5619, 267, 621, 729, 942, 585, 19001, 543, 607, 2838, 267, 3025, 2987, 6984, 803, 2914, 553, 9277, 547, 581, 7249, 27935, 3330, 519, 9923, 4302, 11755, 1858, 269, 9521, 519, 8912, 4168, 4259, 267, 12356, 723, 513, 3982, 1858, 1141, 789, 2932, 741, 19001, 269, 901, 2882, 513, 3982, 11768, 543, 11460, 540, 519, 1585, 2497, 269, 18738, 519, 11755, 1858, 849, 1634, 607, 4053, 718, 320, 267, 519, 1747, 568, 4625, 2451, 11953, 630, 295, 19085, 1040, 901, 568, 865, 1317, 267, 26902, 26802, 538, 519, 9923, 13196, 1694, 267, 9054, 601, 267, 543, 6367, 2047, 593, 519, 6989, 1282, 741, 11755, 7886, 269, 16480, 267, 972, 616, 8458, 547, 1265, 513, 1906, 23107, 267, 799, 538, 713, 2013, 616, 5921, 616, 5921, 585, 29000, 519, 11361, 610, 1256, 519, 16981, 945, 538, 713, 2013, 723, 513, 1966, 609, 741, 10688, 630, 295, 19085, 1916, 1103, 519, 11755, 10689, 267, 2835, 3559, 1407, 616, 849, 2938, 2059, 519, 6821, 543, 22225, 269, 4256, 6852, 3483, 568, 547, 3180, 15878, 753, 267, 519, 11308, 1433, 1056, 338, 267, 543, 824, 3909, 1570, 1519, 519, 11755, 678, 13903, 269, 769, 1840, 267, 519, 11755, 10689, 568, 14916, 21243, 609, 610, 23788, 543, 824, 14446, 630, 295, 19085, 1040, 1280, 1383, 267, 631, 8811, 4599, 568, 606, 25798, 23732, 267, 799, 568, 10859, 2275, 1844, 983, 569, 967, 5034, 538, 519, 11755, 10689, 269, 28611, 267, 713, 3296, 6920, 543, 2798, 2509, 519, 4287, 540, 2725, 17433, 267, 799, 568, 519, 10700, 1747, 610, 4287, 602, 7332, 779, 3068, 1282, 19001, 269, 12830, 547, 4063, 267, 631, 8811, 571, 2125, 4268, 538, 2681, 543, 2450, 538, 1114, 9923, 13196, 630, 295, 19085, 1040, 4634, 1287, 267, 789, 1869, 11677, 519, 1482, 3337, 267, 799, 20998, 513, 7450, 3118, 543, 21243, 1210, 24463, 267, 17981, 267, 543, 30951, 547, 3986, 519, 4482, 4369, 540, 519, 10723, 1747, 607, 1134, 607, 547, 1118, 519, 1747, 1796, 856, 563, 20365, 1957, 585, 596, 454, 4002, 519, 824, 1688, 267, 538, 4395, 540, 519, 11755, 10689, 267, 972, 568, 606, 25517, 6659, 3760, 1634, 607, 519, 3687, 8663, 630, 295, 19085, 1040, 26243, 267, 713, 1747, 568, 3483, 569, 5921, 547, 581, 513, 3760, 689, 1141, 28005, 976, 543, 824, 3909, 10752, 616, 2016, 689, 676, 1955, 4461, 543, 1352, 16554, 338, 269, 15380, 267, 713, 1747, 568, 1500, 540, 3574, 610, 20077, 10007, 543, 20398, 267, 543, 621, 2882, 513, 25047, 13826, 602, 5012, 519, 1955, 4461, 543, 1352, 16554, 338, 547, 519, 1283, 3760, 267, 799, 538, 1034, 2013, 568, 4988, 676, 513, 1507, 26434, 563, 2026, 7150, 4505, 267, 26902, 26802, 538, 519, 9923, 13196, 1694, 267, 9054, 601, 267, 543, 6367, 2047, 593, 519, 2666, 543, 3976, 972, 568, 991, 547, 723, 11755, 24821, 538, 519, 11755, 10689, 269, 634, 11755, 24821, 568, 849, 4105, 538, 519, 11755, 10689, 3335, 1317, 5771, 11099, 602, 19001, 1058, 581, 5342, 693, 513, 2973, 1747, 269, 25408, 267, 519, 10073, 540, 15790, 1115, 543, 678, 13903, 723, 1044, 538, 2259, 2094, 942, 538, 18189, 607, 513, 3009, 540, 4509, 543, 11287, 519, 27194, 540, 519, 11755, 10689, 269, 2961, 335, 1115, 543, 678, 13903, 849, 3715, 930, 2631, 540, 4313, 1282, 519, 11755, 8400, 676, 31289, 532, 519, 6989, 269, 769, 5771, 4741, 540, 3013, 11755, 1858, 729, 4988, 676, 1804, 15790, 1115, 543, 1507, 678, 13903, 941, 849, 2139, 585, 2123, 946, 563, 9209, 543, 824, 6698, 540, 10847, 616, 3810, 11807, 538, 5771, 7429, 538, 8567, 1141, 789, 3068, 513, 2603, 540, 9880, 543, 18349, 269, 1717, 267, 519, 7499, 1568, 543, 824, 3909, 6698, 538, 5771, 616, 1152, 11807, 952, 543, 1152, 952, 789, 2992, 519, 9099, 5389, 267, 2528, 267, 543, 6813, 513, 2178, 9029, 540, 942, 543, 2230, 269, 5047, 267, 519, 3982, 11247, 543, 6698, 723, 547, 9414, 610, 2864, 5815, 519, 3604, 538, 1893, 543, 2528, 1851, 9099, 2516, 5001, 269, 2368, 540, 519, 11247, 543, 3909, 6698, 2139, 538, 519, 9099, 4741, 540, 3013, 1331, 30951, 543, 12166, 23598, 538, 519, 1585, 11775, 540, 519, 9923, 4302, 269, 1280, 1383, 267, 519, 9923, 4302, 568, 3083, 1881, 609, 606, 522, 1777, 2674, 6063, 23439, 12166, 23732, 593, 519, 6989, 269, 25408, 267, 519, 10073, 540, 12166, 3270, 538, 519, 1747, 540, 10847, 3648, 5351, 538, 519, 8086, 540, 519, 8471, 1893, 267, 543, 621, 849, 11226, 519, 3309, 7535, 540, 21071, 547, 2992, 593, 741, 1272, 543, 519, 30493, 540, 5137, 269, 2201, 519, 824, 1688, 267, 30951, 568, 849, 3810, 11368, 883, 9099, 1603, 267, 585, 3236, 267, 538, 519, 20845, 22251, 269, 4706, 10073, 538, 1603, 1524, 519, 1585, 2694, 543, 6810, 540, 519, 20845, 6087, 519, 10513, 23075, 547, 3035, 513, 7524, 543, 513, 10058, 1413, 602, 568, 1312, 9159, 543, 1850, 1043, 547, 519, 26902, 26802, 563, 4407, 519, 9099, 4984, 568, 9228, 547, 581, 7453, 2523, 3823, 519, 19703, 3009, 267, 621, 1281, 711, 9673, 1206, 4896, 689, 9849, 8799, 856, 22327, 543, 1413, 1434, 269, 5502, 267, 519, 9099, 4984, 8076, 919, 543, 15156, 585, 1232, 1890, 538, 519, 6073, 538, 799, 922, 13794, 10571, 269, 901, 568, 24617, 6976, 3007, 547, 2523, 950, 789, 616, 11504, 28005, 517, 269, 17859, 540, 2085, 267, 713, 4984, 7512, 27194, 543, 1434, 5920, 267, 799, 538, 1034, 2665, 23327, 543, 19752, 2696, 779, 26460, 2390, 873, 269, 6468, 267, 585, 3236, 267, 616, 711, 4847, 547, 2322, 593, 9660, 602, 1397, 741, 1560, 2694, 610, 1256, 606, 30739, 540, 875, 741, 1560, 5654, 899, 269, 1306, 971, 267, 519, 4775, 21071, 538, 519, 9099, 4741, 540, 3013, 21039, 538, 1279, 10690, 1236, 16630, 543, 554, 6359, 11274, 602, 1705, 711, 7866, 519, 2960, 851, 540, 519, 3068, 610, 1256, 4552, 607, 789, 6410, 1472, 1282, 519, 11755, 8400, 269, 9093, 267, 593, 519, 824, 1688, 267, 616, 4847, 547, 5957, 9660, 602, 798, 711, 7866, 741, 1560, 2694, 267, 543, 9660, 602, 616, 711, 1500, 909, 540, 16536, 610, 4154, 269, 1717, 267, 789, 616, 4847, 547, 2322, 593, 9660, 1500, 909, 540, 23820, 610, 4342, 601, 15144, 269, 901, 568, 1317, 519, 8545, 616, 2808, 13411, 538, 519, 13411, 20845, 269, 769, 519, 9099, 4741, 540, 3013, 267, 2367, 21039, 538, 1279, 10690, 695, 16630, 543, 11503, 269, 15394, 267, 891, 7802, 779, 7488, 540, 2436, 789, 616, 12816, 676, 2367, 610, 2021, 28209, 538, 2681, 543, 7306, 607, 1279, 607, 789, 1705, 711, 7866, 606, 1367, 779, 1560, 2694, 563, 305, 3770, 338, 616, 851, 540, 519, 9099, 4984, 543, 616, 9833, 607, 1271, 2609, 2523, 1317, 540, 741, 1909, 538, 10747, 519, 3982, 1305, 540, 3652, 602, 11129, 547, 581, 14553, 4553, 676, 21071, 269, 769, 519, 9099, 4741, 540, 3013, 267, 519, 1101, 9161, 3323, 693, 519, 13675, 547, 519, 9923, 4302, 269, 2311, 713, 1448, 267, 21071, 941, 2838, 547, 1900, 883, 519, 9923, 4302, 1210, 741, 1318, 3723, 21039, 538, 13076, 609, 519, 1305, 3652, 543, 6042, 269, 769, 1840, 267, 21071, 616, 2838, 547, 581, 2973, 1519, 519, 17594, 540, 3983, 17627, 689, 1426, 543, 824, 17580, 6878, 269, 2991, 602, 267, 789, 941, 2838, 547, 4283, 519, 9923, 4302, 973, 1746, 519, 3617, 11755, 1634, 607, 513, 706, 320, 269, 594, 849, 4767, 21071, 2932, 519, 26349, 9161, 269, 28611, 267, 713, 9161, 3340, 602, 789, 1491, 1055, 741, 10887, 543, 2973, 741, 3952, 269, 2991, 602, 267, 519, 7332, 21071, 1223, 1631, 979, 6619, 609, 741, 19001, 9161, 16516, 2947, 2053, 513, 1554, 563, 268, 20056, 550, 2298, 454, 268, 476, 1911, 260, 12414, 527, 514, 1606, 12522, 454, 268, 32285, 5777, 454, 7069, 3643, 547, 519, 9099, 4741, 540, 3013, 729, 513, 1967, 543, 1534, 894, 540, 519, 9099, 4984, 269, 25408, 267, 1282, 519, 3643, 267, 594, 4121, 3833, 513, 1297, 540, 1919, 602, 12356, 782, 2066, 519, 8608, 4497, 538, 950, 11287, 543, 26902, 6235, 741, 2696, 269, 14755, 267, 594, 19927, 540, 519, 1585, 11265, 6272, 543, 11768, 1459, 538, 519, 9923, 13196, 267, 543, 741, 2956, 269, 21452, 267, 594, 19927, 602, 519, 631, 8811, 4599, 568, 25517, 538, 519, 1482, 4287, 607, 803, 17433, 269, 3414, 519, 3643, 267, 594, 849, 3893, 5432, 609, 930, 540, 519, 12738, 602, 519, 9099, 4984, 17188, 3007, 547, 1519, 519, 1826, 540, 7802, 602, 9757, 4008, 1058, 2322, 593, 2523, 950, 11504, 513, 11755, 8400, 269, 769, 824, 1913, 267, 594, 11207, 10150, 1250, 3643, 547, 519, 1390, 9872, 538, 12309, 267, 3345, 3013, 543, 2348, 1558, 2701, 16554, 744, 3405, 945, 11461, 803, 1282, 1250, 1382, 1184, 563, 1103, 1250, 6644, 267, 972, 568, 1100, 1390, 3017, 1063, 1250, 4984, 268, 22146, 640, 268, 543, 5771, 1317, 649, 782, 4196, 543, 3494, 538, 519, 1482, 2696, 945, 7000, 13924, 1345, 998, 14062, 267, 15584, 267, 543, 4906, 269, 1717, 267, 972, 616, 930, 8037, 3017, 1063, 519, 1079, 10764, 2523, 593, 6927, 3823, 519, 19703, 3009, 543, 27194, 269, 28611, 267, 585, 7332, 267, 789, 723, 547, 11547, 741, 3952, 1991, 547, 3478, 883, 519, 1747, 540, 10847, 7429, 585, 10271, 945, 798, 602, 693, 1753, 269, 4475, 267, 5771, 568, 513, 4984, 602, 3810, 9228, 547, 32625, 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 ]
[ 713, 1131, 723, 1044, 2808, 513, 1390, 1587, 4640, 563, 2080, 616, 513, 1906, 1806, 540, 875, 621, 782, 5129, 1927, 269, 1306, 596, 616, 2542, 713, 267, 5372, 16110, 779, 1286, 609, 707, 1378, 1587, 269, 3657, 596, 1739, 891, 4808, 267, 610, 616, 596, 1818, 2057, 762, 9073, 888, 11854, 6900, 27010, 10748, 1466, 454, 293, 867, 7012, 1406, 9513, 968, 320, 1286, 6100, 16874, 646, 4956, 547, 1628, 513, 1286, 1107, 1510, 1022, 3606, 1344, 1107, 519, 9059, 7948, 1406, 723, 5949, 563, 1103, 1931, 585, 519, 1286, 547, 1831, 971, 513, 1390, 1967, 267, 782, 4143, 13623, 1590, 960, 1927, 267, 610, 693, 2547, 896, 519, 1482, 10054, 269, 16373, 2115, 547, 917, 4010, 945, 519, 3077, 5304, 568, 543, 1018, 1871, 20790, 547, 2911, 827, 269, 19833, 991, 547, 581, 2111, 547, 1921, 519, 1808, 991, 540, 602, 3077, 5304, 547, 519, 4890, 1587, 267, 799, 538, 2490, 2115, 547, 5838, 593, 519, 1871, 8385, 16219, 676, 6725, 563, 2252, 16110, 779, 4640, 1131, 723, 18423, 693, 519, 5207, 1377, 540, 968, 18522, 513, 1286, 5608, 6725, 1223, 723, 1152, 14437, 827, 519, 13598, 7907, 540, 6517, 630, 1326, 5488, 689, 835, 1747, 547, 1776, 267, 543, 1810, 1406, 2973, 1310, 707, 7504, 1040, 1677, 581, 2111, 547, 1205, 513, 1804, 1297, 540, 1004, 5461, 1107, 1256, 538, 2053, 950, 596, 4769, 1406, 723, 547, 4339, 865, 2182, 585, 741, 3007, 1107, 596, 1590, 581, 811, 1808, 269, 4658, 1616, 547, 1174, 602, 596, 616, 3478, 741, 2115, 267, 602, 596, 616, 6061, 741, 1808, 2042, 563, 763, 3077, 5304, 538, 713, 2013, 729, 1360, 1808, 630, 24392, 1360, 2647, 267, 543, 602, 779, 849, 606, 1271, 851, 540, 1587, 27360, 564, 3514, 1040, 634, 7844, 570, 729, 513, 1286, 585, 519, 8723, 1004, 267, 2324, 11665, 267, 607, 10353, 547, 519, 3638, 543, 4583, 945, 941, 519, 1152, 3283, 2111, 547, 2972, 519, 17195, 540, 6517, 3976, 2484, 563, 9616, 281, 1247, 519, 7844, 570, 729, 513, 1286, 585, 519, 13999, 267, 621, 7012, 1406, 513, 1286, 585, 3025, 269, 1403, 596, 941, 1932, 4057, 596, 7948, 1406, 6488, 621, 267, 5103, 621, 1373, 10097, 607, 835, 540, 922, 2101, 2640, 269, 1656, 952, 596, 941, 1932, 3638, 267, 596, 1223, 723, 6488, 539, 6517, 602, 1131, 711, 2154, 596, 547, 1118, 519, 4123, 32187, 835, 1131, 1118, 547, 3274, 1378, 513, 1286, 269, 3143, 1587, 5713, 3025, 269, 4634, 5616, 9612, 3085, 1406, 630, 20459, 827, 519, 5934, 4170, 585, 1210, 621, 543, 596, 786, 3605, 3833, 513, 1906, 1916, 2252, 707, 1587, 568, 585, 968, 22336, 821, 892, 630, 514, 645, 273, 290, 264, 610, 968, 22336, 590, 11586, 270, 11767, 21215, 892, 630, 514, 645, 273, 289, 1070, 1589, 1586, 269, 1411, 1616, 547, 581, 1454, 811, 1808, 982, 602, 865, 602, 596, 666, 1463, 3025, 538, 519, 2754, 547, 519, 1318, 5304, 267, 519, 835, 602, 1131, 3142, 596, 1967, 563, 11854, 6900, 10025, 1160, 6570, 454, 3086, 602, 596, 723, 513, 1808, 3077, 5304, 267, 1018, 568, 621, 602, 713, 3077, 5304, 2115, 286, 769, 16110, 779, 2013, 267, 968, 1492, 13999, 892, 2877, 519, 1286, 547, 581, 2111, 547, 4228, 741, 10375, 2951, 3845, 543, 1118, 621, 851, 540, 741, 1554, 3562, 6377, 1272, 269, 1358, 2877, 971, 513, 1286, 547, 581, 10097, 543, 6325, 563, 763, 7744, 3297, 2048, 3530, 27522, 685, 568, 7168, 2786, 4464, 281, 621, 729, 519, 5304, 4214, 3294, 602, 13747, 621, 689, 519, 3638, 543, 4583, 267, 865, 5693, 6578, 568, 606, 3390, 269, 1809, 875, 10097, 4010, 286, 1703, 729, 1869, 930, 1382, 547, 2932, 267, 547, 1174, 1018, 568, 519, 3077, 5304, 779, 6578, 269, 16828, 267, 519, 7844, 570, 729, 4421, 585, 1269, 25616, 267, 799, 729, 1869, 5594, 2362, 982, 519, 3328, 2475, 14057, 693, 519, 942, 563, 1432, 827, 519, 991, 585, 10727, 1498, 286, 4208, 568, 621, 1271, 286, 1411, 1223, 2161, 602, 952, 596, 1616, 513, 1286, 585, 8723, 1004, 789, 1058, 711, 723, 547, 5855, 827, 7344, 2152, 1317, 789, 9327, 1406, 917, 1018, 547, 798, 267, 855, 602, 1131, 581, 1175, 31153, 519, 2627, 269, 1403, 596, 3409, 602, 713, 568, 1945, 602, 568, 1271, 585, 707, 5304, 267, 596, 1058, 581, 2111, 547, 2491, 4010, 1946, 630, 663, 19472, 891, 10054, 607, 596, 979, 1916, 2080, 568, 519, 1483, 2601, 281, 519, 2475, 693, 602, 942, 729, 1869, 1360, 6917, 267, 543, 952, 596, 4941, 547, 6133, 519, 1286, 547, 968, 1492, 13999, 5608, 596, 1185, 547, 2232, 6917, 2127, 607, 1134, 269, 769, 971, 2127, 267, 519, 1286, 2877, 547, 581, 2111, 547, 5397, 998, 519, 10782, 9897, 269, 2334, 779, 513, 1360, 1808, 4214, 540, 10727, 267, 543, 1631, 649, 782, 1174, 1018, 621, 1797, 4010, 543, 1946, 621, 729, 2877, 563, 9616, 602, 891, 616, 711, 1587, 16551, 610, 2934, 267, 891, 616, 1587, 7907, 269, 1452, 616, 519, 1919, 602, 616, 1271, 547, 707, 5561, 827, 707, 1587, 269, 1403, 596, 2307, 519, 2243, 713, 1259, 1107, 2048, 6343, 568, 1271, 585, 596, 827, 519, 1587, 685, 1107, 2934, 543, 16551, 9327, 1406, 581, 519, 2626, 563, 3674, 621, 1271, 585, 4896, 602, 707, 1286, 814, 2185, 14743, 286, 3143, 267, 621, 568, 1271, 602, 621, 786, 5397, 12347, 269, 1656, 952, 2576, 267, 2161, 267, 4498, 2917, 5096, 1749, 517, 267, 666, 3035, 602, 609, 1614, 14743, 1107, 602, 779, 9985, 5386, 563, 4517, 540, 1576, 267, 596, 1058, 581, 2111, 547, 4628, 1174, 543, 849, 581, 2111, 547, 2491, 547, 1866, 1946, 891, 1919, 616, 1271, 267, 1454, 899, 594, 1705, 1657, 563, 21430, 519, 17195, 540, 6517, 10097, 547, 519, 3328, 1977, 1268, 666, 1152, 581, 6913, 609, 2527, 2504, 269, 2334, 729, 16110, 779, 2189, 968, 974, 9592, 892, 630, 1278, 982, 519, 1286, 3294, 264, 1107, 519, 10198, 1899, 563, 10000, 2394, 1287, 267, 972, 941, 1906, 1004, 945, 6785, 875, 547, 1628, 6517, 267, 543, 789, 1142, 5249, 593, 513, 2582, 1286, 1376, 547, 1439, 269, 3962, 1286, 729, 3710, 16924, 713, 1259, 1107, 513, 17890, 543, 7199, 1184, 269, 634, 10198, 1899, 267, 538, 799, 1142, 11832, 729, 3743, 585, 741, 1808, 851, 540, 519, 960, 267, 543, 1223, 798, 602, 585, 1082, 6517, 835, 1310, 519, 824, 267, 13087, 1818, 602, 1184, 1454, 811, 3608, 543, 4389, 1942, 269, 2060, 519, 10198, 1899, 267, 606, 3003, 1286, 1223, 581, 3710, 538, 476, 277, 3108, 563, 4913, 267, 930, 4123, 32187, 2877, 547, 581, 1500, 269, 769, 519, 2012, 540, 26622, 543, 10727, 267, 8897, 540, 946, 7012, 1406, 519, 1034, 1271, 2298, 540, 519, 1286, 269, 1280, 1383, 267, 596, 1185, 547, 1376, 621, 689, 519, 3544, 543, 1287, 7914, 1318, 883, 519, 6117, 1286, 269, 952, 596, 1031, 519, 4358, 6023, 519, 4636, 1259, 267, 621, 1223, 2736, 707, 6186, 563, 4517, 540, 1576, 267, 1022, 1106, 540, 1367, 6492, 610, 22464, 729, 2451, 3544, 1317, 602, 1131, 15641, 324, 519, 5663, 1184, 543, 1039, 11991, 8374, 269, 16110, 779, 3109, 2681, 10839, 568, 513, 3501, 1383, 540, 602, 563, 2414, 9794, 676, 519, 10839, 267, 16110, 729, 1360, 6899, 1818, 602, 4123, 11325, 269, 1548, 4847, 1864, 547, 798, 602, 267, 568, 602, 646, 6956, 1946, 713, 4123, 11325, 729, 1500, 267, 543, 875, 621, 782, 13352, 883, 519, 8273, 4605, 281, 547, 6133, 513, 1286, 547, 519, 13999, 267, 621, 814, 547, 581, 10097, 269, 1677, 1118, 621, 10097, 267, 621, 814, 547, 581, 3812, 811, 7561, 269, 11109, 2789, 7648, 25815, 1524, 2504, 269, 898, 779, 1360, 2241, 563, 293, 867, 849, 6785, 1018, 646, 7948, 1406, 14207, 593, 1107, 10727, 585, 1383, 1107, 543, 646, 2965, 4951, 1055, 519, 1286, 779, 2702, 547, 5397, 538, 3665, 2175, 607, 513, 11553, 8671, 545, 563, 5522, 4868, 540, 5489, 841, 454, 2026, 596, 666, 1294, 267, 1587, 4640, 3322, 3478, 883, 513, 1360, 2143, 1377, 540, 7713, 519, 8273, 4605, 543, 875, 621, 782, 13352, 1927, 269, 1548, 1004, 2356, 1289, 4640, 568, 538, 1082, 2665, 1175, 513, 2489, 4287, 269, 769, 16110, 779, 1383, 267, 952, 646, 1152, 1305, 519, 4287, 540, 968, 18522, 513, 1286, 547, 519, 13999, 892, 543, 3893, 1318, 547, 960, 593, 621, 267, 621, 1131, 723, 1044, 1360, 2182, 547, 1921, 782, 519, 15956, 563, 21982, 621, 547, 519, 1985, 1377, 540, 1469, 630, 528, 1256, 513, 1906, 2157, 4514, 264, 2337, 596, 1174, 707, 1587, 1732, 543, 2744, 2620, 1702, 540, 519, 10148, 543, 519, 4123, 32187, 547, 581, 1500, 563, 1607, 568, 711, 606, 2653, 4305, 269, 898, 3322, 513, 2603, 540, 7493, 3206, 602, 3340, 596, 547, 1589, 476, 1015, 3268, 6619, 543, 1118, 2631, 538, 513, 1950, 1158, 609, 1082, 26968, 985, 269, 1809, 9319, 621, 3884, 1406, 2469, 547, 948, 596, 269, 634, 10148, 543, 6988, 1131, 1869, 581, 972, 267, 543, 596, 3580, 2743, 873, 5555, 269, 1411, 1732, 581, 5423, 267, 1174, 873, 538, 4434, 267, 543, 4688, 3054, 930, 540, 519, 4693, 7146, 268, 19587, 602, 1223, 581, 14284, 6382, 563, 7712, 2870, 513, 4396, 1587, 4640, 568, 711, 2653, 267, 1454, 540, 519, 8713, 302, 645, 2393, 322, 2086, 568, 6131, 547, 621, 269, 634, 5171, 1451, 875, 547, 1628, 741, 1378, 1587, 4640, 1900, 676, 1900, 267, 543, 1205, 1250, 1463, 5955, 593, 519, 6364, 563, 15371, 596, 798, 621, 609, 1250, 948, 610, 711, 267, 1118, 2386, 596, 616, 2111, 547, 2491, 707, 1587, 779, 1158, 693, 519, 1697, 1377, 540, 1469, 269, 898, 779, 711, 2653, 267, 855, 621, 568, 4440, 519, 1034, 1271, 7580, 1764, 596, 666, 1118, 269, 0, 290, 13895, 19596, 14543, 547, 3914, 11466, 538, 519, 476, 1789, 521, 942, 12656, 1675, 269, 22477, 1673, 550, 514, 3039, 7745, 11060, 2112, 916, 18334, 982, 3597, 1673, 550, 514, 11909, 7745, 11060, 269, 634, 524, 13895, 7202, 514, 28401, 4396, 11060, 568, 519, 3500, 652, 540, 782, 8031, 547, 17370, 1301, 543, 14543, 547, 3914, 11466, 1369, 519, 942, 1922, 9347, 269, 634, 8984, 6066, 3562, 3146, 331, 1314, 566, 585, 524, 13895, 19596, 568, 476, 276, 563, 1607, 568, 519, 1152, 1624, 6842, 1141, 19596, 814, 513, 14887, 8984, 6066, 3562, 3146, 331, 1314, 566, 982, 7202, 514, 269, 2353, 824, 2418, 2285, 19596, 476, 275, 269, 634, 19596, 814, 513, 2539, 1871, 540, 8143, 886, 639, 2032, 267, 8151, 689, 476, 272, 269, 26365, 886, 639, 2032, 2982, 519, 13862, 1673, 550, 514, 476, 271, 563, 763, 524, 13895, 1858, 540, 7202, 514, 814, 606, 2799, 1871, 540, 476, 272, 269, 634, 8143, 19428, 540, 524, 13895, 19596, 476, 271, 269, 2353, 824, 2418, 540, 8143, 19428, 585, 19596, 543, 7202, 514, 1369, 519, 524, 13895, 5694, 1606, 331, 823, 616, 2539, 982, 1866, 262, 4681, 269, 7612, 476, 275, 269, 634, 1079, 8143, 7851, 10646, 519, 7777, 1242, 8031, 540, 19596, 267, 7202, 514, 543, 519, 524, 13895, 2127, 540, 1312, 8031, 1210, 519, 8143, 3601, 540, 8984, 6066, 3562, 3146, 331, 1314, 566, 543, 3002, 7721, 4219, 1282, 17370, 9879, 7612, 476, 276, 563, 8201, 476, 276, 269, 12726, 476, 272, 268, 14675, 5694, 1606, 331, 823, 543, 12726, 476, 273, 910, 595, 13895, 5694, 1606, 331, 823, 269, 21231, 267, 513, 8523, 568, 3254, 267, 4553, 676, 606, 2473, 11920, 267, 1287, 519, 8984, 6066, 3562, 3146, 331, 1314, 566, 8143, 4786, 543, 267, 6368, 267, 519, 3002, 7721, 4219, 8143, 4786, 18995, 19596, 267, 7202, 514, 543, 524, 13895, 2127, 540, 19596, 543, 7202, 514, 269, 5606, 571, 268, 1042, 8143, 9196, 568, 513, 4480, 799, 568, 2943, 547, 581, 12366, 1242, 1369, 519, 2361, 6361, 2173, 14037, 710, 543, 922, 13564, 10706, 20614, 910, 25185, 563, 13775, 960, 585, 8159, 519, 8143, 3601, 540, 5694, 2389, 22568, 7754, 553, 1696, 620, 563, 291, 1581, 17240, 335, 4347, 775, 543, 29766, 31469, 538, 15482, 595, 2456, 563, 2414, 1054, 1606, 331, 823, 11098, 525, 540, 476, 273, 269, 6931, 1696, 620, 269, 30027, 748, 3002, 22190, 997, 566, 547, 519, 12150, 29473, 1816, 531, 2627, 1131, 581, 12691, 267, 3379, 547, 519, 3498, 540, 7299, 3002, 547, 519, 6366, 2627, 540, 519, 5439, 1369, 713, 1353, 543, 7754, 553, 1696, 620, 269, 634, 5694, 1606, 997, 525, 1369, 713, 1353, 941, 9763, 2047, 1765, 684, 3697, 6931, 1696 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1406, 2913, 519, 12071, 5192, 596, 13560, 2336, 2005, 779, 2760, 1187, 547, 581, 7210, 267, 855, 519, 2770, 568, 811, 3978, 982, 519, 1455, 4411, 269, 898, 666, 581, 5906, 1765, 18034, 585, 4587, 1004, 267, 1453, 896, 476, 275, 267, 543, 9176, 2021, 563, 763, 12557, 540, 2770, 4005, 568, 1360, 20437, 543, 666, 4268, 689, 4005, 547, 4005, 269, 968, 2005, 666, 1491, 909, 547, 1079, 4374, 585, 519, 1560, 547, 1020, 12046, 267, 865, 621, 779, 1271, 547, 3945, 3729, 607, 2038, 538, 519, 4005, 607, 2009, 2223, 3081, 4168, 14780, 580, 6242, 267, 11022, 267, 4284, 6509, 2987, 16644, 1618, 543, 7731, 6925, 4284, 6509, 693, 918, 9820, 518, 32719, 25366, 13244, 22548, 7534, 6481, 5510, 1182, 269, 968, 4407, 1453, 267, 9176, 2021, 543, 519, 11361, 616, 811, 693, 1981, 585, 8374, 689, 519, 2770, 267, 621, 666, 581, 1175, 607, 3978, 585, 2635, 1762, 4079, 3034, 27908, 687, 540, 1004, 1205, 519, 2770, 1169, 1032, 269, 3509, 540, 873, 1205, 865, 7210, 789, 1439, 909, 538, 519, 6413, 269, 13363, 3054, 543, 519, 1004, 596, 1416, 827, 609, 891, 2241, 4388, 563, 308, 2955, 519, 3017, 1063, 519, 2770, 543, 513, 4411, 454, 14813, 1663, 27833, 630, 26211, 585, 968, 22381, 14615, 543, 519, 1455, 4411, 616, 711, 519, 1482, 269, 5637, 616, 5580, 7929, 5563, 267, 855, 2770, 2589, 4043, 547, 2097, 593, 6793, 543, 2063, 3476, 269, 634, 2770, 568, 513, 3644, 602, 3123, 8611, 267, 14331, 267, 543, 15319, 31462, 1846, 2443, 543, 621, 666, 1291, 547, 3978, 5563, 267, 16415, 267, 610, 8338, 269, 634, 2770, 3622, 3468, 338, 1004, 689, 3735, 2887, 998, 2038, 5614, 267, 1247, 897, 1091, 666, 2049, 2429, 519, 1032, 563, 7476, 707, 2770, 8929, 454, 2005, 779, 707, 1655, 8878, 269, 634, 12674, 666, 1406, 2285, 596, 519, 2770, 28559, 621, 666, 948, 2149, 596, 1996, 713, 1032, 779, 1034, 1455, 12490, 543, 2061, 10825, 519, 2770, 547, 1866, 269, 12071, 8290, 1689, 1142, 1032, 267, 543, 865, 1281, 519, 6669, 269, 21079, 707, 1981, 676, 3478, 707, 2770, 8929, 1169, 1032, 563, 22517, 739, 12046, 609, 2635, 6208, 454, 26594, 1919, 602, 1489, 2949, 1072, 666, 849, 948, 596, 4339, 519, 2770, 269, 25169, 707, 3946, 1419, 543, 1832, 1688, 24846, 6500, 13561, 269, 5269, 2386, 547, 1205, 2614, 3207, 267, 3548, 6266, 540, 5613, 543, 19787, 267, 543, 4235, 7899, 540, 1216, 563, 5649, 344, 547, 3094, 707, 4339, 1996, 519, 2770, 888, 25486, 783, 2770, 15833, 2539, 1981, 540, 20414, 519, 2770, 267, 3384, 2770, 5829, 8374, 267, 11564, 547, 7189, 267, 543, 14406, 1153, 610, 960, 17058, 1813, 547, 4576, 563, 2108, 16605, 17900, 689, 10825, 713, 2770, 4005, 676, 11067, 707, 3946, 1419, 267, 32125, 610, 23472, 883, 707, 23969, 267, 1810, 1406, 5905, 707, 3068, 267, 543, 1034, 11932, 267, 952, 596, 616, 7210, 267, 3251, 693, 1753, 2223, 3081, 3220, 269, 14780, 580, 6242, 563, 309, 3147, 1149, 616, 2139, 547, 782, 918, 9820, 518, 32719, 25366, 2818, 476, 277, 3275, 543, 4587, 693, 1100, 21057, 269, 1677, 2333, 1569, 547, 519, 6669, 267, 2818, 538, 519, 13244, 22548, 7534, 9503, 666, 979, 547, 1022, 540, 938, 13244, 22548, 7534, 610, 24258, 13474, 6753, 630, 10175, 2564, 13646, 543, 7966, 9313, 264, 547, 4309, 741, 12674, 693, 1100, 21057, 267, 609, 1100, 991, 585, 606, 13393, 563, 2414, 1265, 909, 3562, 15082, 2770, 8929, 6753, 2282, 596, 267, 3643, 737, 335, 3820, 11721, 1663, 563, 4696, 23615, 2316, 10345, 23166, 2475, 454, 290, 22511, 540, 16593, 267, 568, 513, 476, 26341, 322, 274, 18758, 3919, 538, 1715, 327, 718, 267, 6970, 602, 2488, 3872, 267, 3929, 543, 2883, 6351, 547, 1346, 609, 2860, 538, 13244, 22548, 7534, 269, 634, 3919, 568, 4867, 5275, 519, 1435, 331, 923, 948, 538, 16565, 3688, 602, 666, 581, 1031, 538, 2483, 763, 13244, 22548, 7534, 5398, 7732, 12833, 2572, 1763, 6342, 547, 6875, 1520, 2779, 720, 540, 4256, 6732, 8249, 713, 4864, 454, 288, 7732, 9315, 568, 2353, 1411, 10261, 547, 17949, 519, 552, 299, 3869, 267, 9906, 8249, 267, 19396, 8249, 543, 2859, 256, 1306, 519, 13244, 22548, 7534, 5398, 7732, 24039, 909, 585, 12096, 5752, 538, 5181, 267, 7264, 616, 18056, 547, 1491, 5413, 540, 519, 2647, 3099, 540, 2228, 2483, 290, 22511, 540, 16593, 267, 513, 18758, 3919, 538, 13244, 22548, 7534, 945, 2488, 3872, 267, 3929, 543, 2883, 2533, 547, 1346, 609, 2860, 538, 519, 2146, 568, 10583, 547, 14773, 543, 10950, 1079, 1007, 2818, 547, 519, 3919, 779, 8274, 540, 6034, 832, 269, 22189, 10158, 332, 790, 31972, 5723, 27345, 5990, 631, 8980, 288, 313, 12114, 454, 306, 9017, 22548, 7534, 18225, 814, 1305, 513, 1164, 3044, 585, 17284, 538, 10229, 585, 936, 476, 3066, 1296, 269, 589, 1920, 11262, 543, 13234, 1870, 267, 13244, 22548, 7534, 18225, 814, 6738, 609, 519, 13244, 22548, 7534, 9503, 2094, 476, 1960, 271, 543, 1831, 519, 1948, 272, 1747, 547, 14441, 12725, 269, 0, 301, 747, 15614, 4083, 689, 1379, 729, 4922, 5941, 269, 634, 2197, 838, 10165, 2066, 519, 3003, 7187, 3368, 540, 5607, 267, 689, 519, 7414, 5032, 538, 519, 7532, 267, 543, 883, 5375, 2342, 269, 901, 267, 540, 1576, 267, 8959, 267, 4611, 538, 1164, 10637, 269, 634, 5239, 7169, 729, 513, 2101, 1900, 538, 519, 7004, 540, 519, 32540, 1533, 883, 513, 269, 634, 5239, 7169, 729, 513, 2101, 1900, 538, 519, 7004, 540, 519, 32540, 1533, 883, 513, 269, 7169, 2687, 547, 519, 28732, 9218, 834, 529, 513, 6727, 267, 3665, 610, 2347, 1689, 538, 519, 1259, 1004, 2661, 960, 3092, 2668, 634, 4838, 9927, 519, 3003, 4936, 7276, 267, 4758, 621, 513, 1007, 10155, 15587, 269, 634, 2197, 838, 10165, 2066, 519, 3003, 7187, 3368, 540, 5607, 267, 689, 519, 7414, 5032, 538, 519, 7532, 267, 543, 883, 5375, 2342, 269, 634, 4317, 267, 11572, 267, 1656, 9483, 15486, 2986, 634, 12157, 9917, 341, 1731, 7169, 269, 476, 273, 3057, 476, 1789, 267, 476, 1001, 279, 5788, 769, 476, 4489, 278, 267, 713, 9178, 6368, 3812, 513, 4838, 267, 27789, 519, 2025, 1062, 2476, 269, 2817, 1143, 281, 634, 4838, 32570, 539, 519, 9082, 540, 5607, 543, 4000, 543, 29689, 513, 1007, 6891, 540, 18541, 538, 741, 4339, 585, 5191, 689, 519, 3864, 3935, 9088, 6576, 1185, 513, 2101, 4838, 799, 4625, 4957, 519, 4346, 543, 519, 3401, 540, 6576, 269, 4828, 2552, 652, 18623, 4721, 476, 1001, 275, 454, 27246, 1656, 12186, 4828, 2201, 6739, 7169, 2339, 1018, 519, 1826, 267, 519, 2450, 267, 543, 519, 6988, 540, 519, 1957, 616, 267, 621, 786, 581, 7184, 21503, 543, 1134, 27787, 269, 2598, 20880, 8057, 1312, 538, 519, 15493, 543, 693, 519, 4395, 269, 634, 4838, 5949, 538, 5933, 998, 1079, 5094, 4172, 1186, 267, 835, 538, 5988, 543, 835, 538, 5239, 269, 5395, 325, 3256, 1185, 1044, 27618, 538, 476, 5908, 272, 855, 621, 1705, 711, 2087, 519, 2175, 540, 519, 27998, 634, 5988, 543, 5239, 26201, 2052, 1284, 3503, 2659, 4828, 286, 901, 4838, 538, 476, 4489, 278, 3366, 547, 519, 1439, 540, 1010, 1920, 779, 15913, 267, 519, 1439, 540, 519, 1313, 7100, 538, 6576, 769, 3932, 267, 1310, 519, 6739, 7169, 267, 972, 941, 1082, 2360, 585, 519, 1434, 543, 3983, 538, 6576, 269, 2598, 20880, 8057, 1312, 538, 519, 15493, 543, 693, 519, 4395, 269, 1656, 621, 4300, 4705, 5097, 1996, 519, 16313, 543, 1010, 2229, 269, 634, 17235, 534, 2112, 3576, 1747, 689, 5239, 476, 6977, 274, 547, 5988, 476, 6977, 277, 634, 6739, 7169, 269, 769, 5130, 476, 5002, 276, 6576, 729, 16207, 883, 2048, 516, 23728, 685, 15427, 676, 519, 2621, 540, 10552, 344, 10732, 634, 6739, 7169, 269, 634, 1101, 543, 1034, 1271, 12343, 267, 2094, 621, 3366, 547, 782, 519, 824, 4539, 267, 540, 519, 6739, 7169, 568, 519, 15995, 1709, 540, 17578, 541, 22956, 4083, 269, 5475, 1010, 15995, 1709, 267, 1082, 7440, 3576, 1747, 593, 2436, 6576, 1058, 1394, 856, 540, 519, 2112, 610, 711, 634, 6301, 3123, 540, 6739, 7169, 540, 476, 4489, 278, 616, 607, 2433, 476, 272, 269, 6576, 779, 29070, 2773, 538, 2622, 2782, 594, 729, 835, 540, 519, 3119, 3123, 540, 519, 6739, 7169, 540, 476, 4489, 278, 267, 799, 25626, 11735, 519, 4936, 990, 15913, 543, 8704, 513, 2229, 602, 729, 11235, 547, 1439, 519, 8165, 563, 288, 3863, 31436, 623, 2532, 334, 4828, 9502, 2311, 519, 1482, 942, 13848, 723, 711, 6854, 10605, 609, 8375, 5777, 269, 898, 1185, 513, 5458, 1764, 538, 519, 1158, 1686, 267, 7133, 519, 2729, 540, 1896, 1004, 769, 2376, 11828, 519, 3123, 543, 4539, 540, 519, 1101, 6739, 4838, 540, 476, 5002, 276, 268, 5002, 278, 269, 15486, 1656, 31664, 2986, 634, 476, 5002, 276, 6739, 7169, 269, 678, 11701, 4838, 3123, 1557, 269, 2311, 519, 1482, 942, 13848, 723, 711, 6854, 10605, 609, 8375, 5777, 269, 4438, 519, 2622, 2782, 476, 272, 6576, 14754, 519, 5912, 547, 513, 1114, 543, 17105, 602, 4547, 609, 3294, 930, 1434, 543, 3983, 4539, 282, 2705, 621, 568, 2556, 547, 5659, 543, 1174, 1142, 5123, 540, 519, 1184, 538, 1931, 547, 1711, 513, 1523, 543, 513, 1448, 540, 2070, 1703, 941, 1082, 3123, 540, 519, 476, 5002, 276, 6739, 7169, 607, 519, 1004, 11124, 896, 519, 12512, 540, 513, 595, 345, 541, 269, 634, 6739, 7169, 568, 835, 540, 519, 7887, 26201, 547, 723, 5734, 519, 1158, 269, 2622, 2782, 594, 729, 513, 9568, 585, 6576, 607, 6634, 540, 7980, 543, 21127, 941, 7166, 543, 972, 941, 2804, 16839, 543, 1004, 941, 27025, 30829, 609, 519, 2229, 269, 634, 15521, 540, 645, 6135, 6441, 527, 990, 12921, 630, 4489, 279, 264, 17929, 6576, 26857, 1804, 13980, 540, 922, 8513, 547, 5125, 3361, 513, 21556, 1063, 519, 12157, 9917, 12858, 802, 630, 4004, 1235, 264, 543, 519, 19382, 31012, 26612, 12164, 10345, 12702, 27301, 2464, 6730, 590, 22218, 9281, 2975, 23814, 29996, 5990, 681, 4785, 10485, 3198, 11555, 309, 5357, 28513, 476, 273, 269, 15486, 540, 519, 6739, 7169, 32157, 22255, 514, 543, 519, 5853, 532, 540, 519, 8168, 5742, 9478, 23237, 781, 11192, 9107, 14329, 269, 2755, 519, 7432, 1448, 585, 519, 4838, 568, 4922, 7608, 607, 2622, 2782, 594, 267, 855, 519, 4838, 729, 711, 606, 17149, 676, 28237, 540, 2112, 543, 972, 616, 1279, 3856, 3123, 602, 616, 8449, 1271, 547, 5431, 6739, 7169, 267, 1079, 26201, 538, 476, 4489, 278, 267, 519, 1101, 540, 799, 267, 538, 5988, 630, 18550, 267, 1715, 13910, 1070, 24057, 4319, 519, 11440, 2229, 543, 519, 2034, 540, 799, 267, 538, 5239, 630, 21776, 1070, 5116, 519, 12157, 9917, 12858, 802, 538, 1379, 267, 3056, 547, 519, 5137, 540, 519, 8168, 5742, 269, 634, 6739, 7169, 540, 476, 4489, 278, 3238, 519, 12900, 540, 606, 10504, 896, 17578, 541, 22956, 4083, 543, 519, 4473, 540, 14100, 1014, 25847, 896, 22255, 514, 543, 1010, 12157, 9917, 12858, 802, 269, 2622, 2782, 594, 729, 513, 9568, 585, 6576, 607, 6634, 540, 7980, 543, 21127, 941, 7166, 543, 972, 941, 2804, 16839, 543, 1004, 941, 27025, 30829, 609, 519, 2229, 563, 305, 17892, 729, 9561, 1996, 5125, 1247, 1004, 3330, 941, 5182, 1324, 1813, 547, 1426, 22520, 1317, 540, 519, 2112, 269, 634, 1292, 3123, 540, 519, 6739, 7169, 540, 476, 4489, 278, 941, 519, 6710, 540, 519, 32066, 1362, 267, 519, 4473, 540, 519, 4683, 4853, 1362, 267, 519, 1884, 1172, 730, 543, 31345, 4108, 267, 513, 3395, 7214, 3350, 267, 543, 519, 13546, 11797, 543, 1313, 7100, 540, 519, 17578, 30658, 12512, 269, 1656, 621, 4300, 4705, 5097, 1996, 519, 16313, 543, 1010, 2229, 269, 17616, 267, 621, 5654, 693, 519, 2242, 538, 6576, 269, 769, 5130, 476, 5002, 276, 6576, 729, 16207, 883, 2048, 516, 23728, 685, 15427, 676, 519, 2621, 540, 10552, 344, 10732, 589, 5903, 2986, 5295, 995, 11762, 1280, 2659, 20531, 1656, 6356, 4828, 2201, 634, 6739, 7169, 269, 1656, 621, 4300, 4705, 5097, 1996, 519, 16313, 543, 1010, 2229, 269, 594, 10288, 1079, 4574, 543, 4607, 3501, 2164, 269, 1656, 621, 4300, 4705, 5097, 1996, 519, 16313, 543, 1010, 2229, 269, 634, 4279, 12870, 543, 519, 22547, 540, 13609, 769, 476, 5002, 276, 267, 519, 6739, 1004, 1185, 513, 2110, 24331, 4838, 1996, 17578, 541, 22956, 4083, 1813, 547, 1010, 10002, 641, 983, 3664, 269, 630, 8621, 3716, 320, 2073, 476, 1001, 273, 264, 4762 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19941, 547, 579, 16699, 269, 634, 13581, 4430, 540, 579, 16699, 729, 1031, 547, 2327, 2698, 7503, 540, 519, 19941, 269, 1306, 1134, 267, 579, 16699, 729, 3773, 538, 476, 274, 3160, 13980, 543, 609, 1434, 28817, 269, 901, 1797, 3777, 903, 9231, 621, 865, 1118, 2386, 596, 723, 930, 2542, 547, 798, 607, 1134, 256, 634, 3803, 1184, 540, 18287, 710, 568, 1360, 1271, 538, 602, 13311, 17694, 616, 22643, 14873, 7458, 6028, 513, 811, 6986, 1587, 563, 3613, 664, 1652, 5374, 7484, 454, 23337, 718, 5986, 1494, 454, 3613, 664, 1652, 5374, 13489, 11425, 454, 12845, 5139, 9317, 9770, 19941, 267, 10878, 273, 4596, 274, 267, 674, 310, 284, 11793, 575, 8276, 565, 454, 268, 675, 320, 267, 7636, 7350, 3446, 267, 8863, 275, 301, 273, 302, 267, 674, 310, 284, 2568, 575, 8276, 565, 454, 23219, 940, 281, 2549, 3000, 807, 3154, 568, 4646, 538, 713, 5114, 267, 865, 621, 568, 513, 1434, 2856, 547, 960, 538, 513, 535, 2541, 26372, 610, 3544, 1141, 972, 568, 1434, 14910, 563, 272, 264, 589, 3905, 30066, 729, 1964, 539, 593, 519, 3490, 540, 513, 28728, 1056, 269, 589, 5986, 1494, 5627, 24113, 3282, 729, 5116, 593, 519, 3905, 30066, 13489, 17243, 563, 273, 264, 20553, 519, 16243, 5374, 7484, 972, 729, 5116, 476, 2767, 326, 9770, 19941, 269, 634, 7484, 729, 1287, 5116, 883, 519, 3282, 543, 17956, 609, 804, 10102, 547, 519, 28728, 1796, 269, 634, 1439, 540, 519, 26282, 729, 5116, 538, 519, 3282, 543, 17479, 607, 2673, 547, 519, 7484, 607, 2009, 563, 274, 264, 9282, 519, 9770, 19941, 1031, 1934, 538, 729, 606, 5139, 9317, 267, 621, 729, 3636, 539, 547, 513, 2837, 540, 476, 10204, 9180, 585, 476, 1015, 3764, 547, 4894, 1022, 15895, 7509, 269, 10801, 519, 5114, 519, 2837, 540, 519, 3282, 729, 6854, 693, 476, 10204, 9180, 543, 28817, 729, 2944, 4749, 563, 275, 264, 476, 1556, 269, 273, 575, 540, 579, 16699, 729, 3773, 7444, 267, 835, 1085, 17274, 693, 513, 942, 543, 609, 1434, 28817, 269, 4438, 713, 267, 20342, 729, 5950, 543, 7509, 630, 4248, 264, 4646, 1818, 519, 7848, 14927, 269, 3683, 519, 1576, 540, 476, 2412, 3764, 519, 7848, 7930, 12015, 856, 543, 519, 2179, 540, 5950, 3154, 1447, 2989, 563, 276, 264, 6271, 476, 1556, 269, 273, 326, 540, 579, 16699, 729, 3773, 543, 4847, 547, 2746, 585, 476, 3374, 3764, 563, 277, 264, 634, 2063, 476, 1556, 269, 273, 326, 540, 579, 16699, 729, 3773, 543, 4847, 547, 2746, 585, 476, 1789, 3764, 563, 278, 264, 2991, 4946, 519, 2698, 2179, 540, 579, 16699, 936, 476, 272, 327, 476, 3393, 1295, 267, 519, 7848, 729, 3819, 267, 8659, 3043, 543, 1055, 22554, 3562, 3917, 3641, 11491, 2737, 267, 543, 4797, 547, 5305, 3154, 269, 634, 1587, 729, 18287, 1441, 693, 513, 2837, 540, 476, 18231, 9180, 2047, 593, 519, 3905, 30066, 585, 476, 275, 32162, 610, 2394, 3154, 4720, 30403, 269, 4438, 713, 1184, 519, 7848, 729, 13489, 1042, 1169, 476, 1428, 3764, 543, 1055, 22554, 3562, 3917, 3641, 11491, 2737, 2968, 811, 7986, 543, 607, 3043, 3283, 1447, 2989, 269, 898, 568, 1271, 547, 2285, 519, 2022, 5114, 942, 547, 18287, 710, 269, 1280, 1383, 267, 1310, 476, 273, 32162, 883, 519, 18287, 710, 267, 519, 7848, 729, 22799, 543, 26693, 476, 6246, 326, 799, 568, 1259, 936, 519, 7811, 6556, 540, 476, 3451, 326, 269, 901, 1797, 602, 17694, 610, 14955, 30062, 3327, 919, 616, 1869, 1459, 269, 2991, 8022, 519, 3575, 585, 1776, 476, 273, 31477, 269, 634, 6556, 3357, 1524, 547, 476, 3451, 326, 563, 279, 264, 634, 10878, 8016, 301, 729, 4847, 547, 3579, 543, 729, 26693, 269, 962, 1752, 729, 476, 3451, 326, 269, 11933, 3749, 6556, 568, 476, 3451, 326, 269, 898, 786, 581, 10924, 602, 713, 1587, 568, 476, 4817, 268, 4200, 260, 6986, 563, 307, 2586, 1927, 267, 713, 5114, 5433, 899, 513, 1967, 269, 634, 5114, 10832, 971, 607, 20342, 4720, 543, 1216, 5250, 941, 1459, 269, 1306, 1134, 267, 519, 7074, 6749, 538, 6556, 540, 476, 6246, 326, 547, 519, 811, 10853, 476, 3451, 326, 1282, 519, 18287, 710, 1184, 729, 513, 1434, 16315, 602, 23606, 543, 7503, 941, 1624, 1005, 269, 1306, 1134, 519, 1587, 729, 14320, 1055, 22554, 3562, 3917, 3641, 538, 7990, 3448, 547, 519, 4358, 3043, 19941, 269, 898, 1131, 581, 8799, 547, 798, 513, 13621, 1448, 8990, 593, 519, 1587, 855, 476, 20862, 9180, 3100, 513, 3787, 2352, 547, 3035, 269, 12344, 519, 1152, 1259, 547, 917, 585, 2386, 568, 547, 2119, 519, 713, 1587, 538, 513, 5114, 4586, 12179, 10372, 267, 5796, 610, 3403, 568, 1454, 15874, 563, 16605, 621, 2653, 454, 272, 31406, 19826, 622, 689, 579, 16699, 543, 9770, 19941, 269, 5576, 6064, 267, 16423, 32184, 282, 670, 7897, 267, 9400, 282, 808, 2444, 515, 267, 918, 5055, 639, 282, 4858, 30977, 267, 10791, 5341, 282, 5576, 933, 6500, 267, 1261, 573, 14725, 269, 630, 12717, 289, 3397, 10635, 1335, 773, 623, 625, 614, 6308, 267, 15168, 269, 5915, 269, 3115, 12175, 15168, 269, 630, 292, 770, 264, 630, 2735, 276, 1070, 476, 279, 6032, 269, 2910, 291, 2894, 281, 717, 13052, 311, 288, 279, 30250, 476, 21854, 4510, 280, 589, 272, 476, 2735, 27843, 2190, 30171, 2854, 538, 4436, 269, 13335, 281, 30250, 476, 10019, 268, 18605, 22659, 476, 2735, 29710, 2641, 269, 27114, 476, 9818, 281, 14341, 3583, 273, 4888, 476, 2735, 276, 281, 6321, 273, 3583, 273, 26480, 299, 4785, 454, 273, 31406, 19826, 622, 269, 28463, 531, 990, 267, 966, 269, 966, 5919, 10127, 778, 1231, 330, 4512, 267, 590, 269, 966, 5919, 932, 574, 880, 5652, 534, 267, 589, 269, 700, 5919, 594, 345, 752, 5459, 267, 717, 269, 24204, 5919, 1744, 557, 1206, 267, 623, 269, 918, 5919, 27173, 569, 6265, 267, 589, 269, 589, 5919, 27173, 569, 326, 2088, 267, 589, 269, 674, 5919, 5695, 17427, 990, 267, 715, 269, 715, 269, 630, 300, 754, 25279, 5271, 267, 667, 269, 594, 1421, 11906, 268, 20007, 1670, 4659, 267, 18293, 267, 28268, 1040, 772, 2529, 2529, 10611, 269, 630, 2735, 275, 1070, 2910, 291, 2894, 281, 772, 305, 18958, 28425, 24639, 476, 13040, 4366, 272, 279, 589, 272, 476, 2735, 29710, 2537, 30171, 2854, 538, 6739, 269, 13335, 281, 24639, 476, 11025, 268, 31620, 24833, 279, 476, 2735, 20385, 1704, 269, 27114, 476, 1911, 281, 15647, 280, 7830, 4888, 476, 2735, 275, 281, 15647, 280, 7830, 26480, 299, 4785, 454, 2005, 1175, 4667, 547, 979, 5488, 2483, 263, 1805, 18223, 781, 4638, 11442, 994, 16085, 2432, 1434, 269, 5620, 596, 6836, 547, 973, 31051, 1125, 1862, 1475, 9349, 5658, 2008, 5970, 596, 6836, 547, 973, 31051, 1125, 519, 9770, 19826, 622, 286, 6496, 4896, 723, 32610, 5515, 693, 2362, 5210, 888, 296, 979, 690, 1194, 585, 621, 543, 1336, 476, 8099, 326, 15828, 693, 476, 736, 9180, 267, 12463, 476, 20862, 9180, 454, 298, 8016, 301, 568, 476, 16020, 326, 15828, 693, 476, 736, 9180, 267, 12463, 476, 25628, 9180, 267, 8143, 17883, 2921, 1747, 3436, 10384, 9180, 454, 296, 6415, 711, 3170, 1175, 23276, 19018, 622, 563, 5415, 19826, 622, 9623, 454, 27562, 730, 607, 281, 5140, 994, 2080, 781, 519, 1434, 11353, 689, 772, 961, 10458, 476, 1220, 273, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 741, 8733, 11640, 543, 3384, 513, 9867, 2635, 6197, 269, 18983, 20628, 2115, 547, 4497, 782, 1004, 540, 1114, 2702, 267, 711, 1175, 1762, 2178, 1004, 945, 666, 15524, 767, 11003, 563, 268, 898, 6663, 547, 708, 10028, 2470, 269, 6250, 1302, 713, 568, 519, 1034, 18476, 3017, 1063, 5214, 12202, 543, 7989, 20628, 269, 769, 7989, 20628, 10651, 630, 24610, 1949, 568, 519, 811, 2868, 529, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 1069, 20628, 5071, 257, 607, 851, 540, 834, 294, 19181, 2894, 5058, 1315, 17667, 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, 1015, 281, 4197, 8682, 7232, 4614, 655, 543, 14740, 692, 5970, 596, 2479, 5433, 899, 596, 2811, 1175, 711, 1434, 2614, 286, 2107, 6148, 596, 5635, 3054, 547, 707, 2828, 610, 28245, 593, 7641, 610, 1514, 2923, 286, 1411, 1522, 1589, 741, 2729, 616, 3501, 1247, 16523, 7959, 30255, 543, 856, 540, 1852, 269, 4270, 267, 1250, 3659, 267, 1577, 803, 2995, 596, 1945, 1271, 910, 18864, 781, 1272, 568, 5963, 3501, 256, 1656, 3006, 267, 950, 1004, 3100, 1932, 2322, 1927, 782, 519, 942, 267, 972, 1223, 581, 6456, 9620, 9944, 519, 2627, 780, 3086, 267, 594, 1616, 547, 6338, 596, 547, 1079, 2462, 1913, 281, 1582, 12635, 543, 3961, 269, 1452, 2474, 4766, 875, 649, 1294, 6000, 543, 1174, 945, 649, 616, 607, 2043, 269, 2913, 781, 2263, 891, 2035, 2417, 543, 1451, 1946, 789, 2339, 865, 1454, 780, 1262, 4089, 476, 272, 281, 1548, 568, 8682, 7232, 4614, 655, 15140, 5331, 2348, 513, 2370, 5639, 3330, 707, 2212, 267, 7683, 22090, 27128, 2436, 596, 2811, 3257, 1134, 610, 17528, 693, 3388, 596, 798, 269, 2334, 2370, 5639, 4564, 1018, 16895, 1289, 834, 1345, 12635, 2437, 799, 1797, 18468, 538, 3054, 543, 4743, 10583, 540, 945, 596, 616, 269, 1879, 596, 723, 2318, 1582, 12635, 267, 713, 6418, 5639, 7512, 543, 7028, 596, 282, 855, 952, 707, 1582, 12635, 568, 1970, 267, 602, 1482, 5639, 3587, 2565, 543, 10792, 780, 4131, 781, 1413, 693, 930, 1806, 547, 1732, 1174, 1164, 543, 1970, 1582, 12635, 1384, 265, 4400, 8682, 7232, 4614, 655, 281, 5994, 3478, 513, 1390, 3446, 593, 513, 1449, 610, 1565, 513, 1007, 5578, 269, 2060, 1164, 1582, 12635, 267, 596, 1131, 2693, 1589, 267, 834, 32452, 267, 594, 5249, 2731, 2182, 585, 602, 6060, 10590, 610, 834, 296, 6415, 5355, 1169, 1554, 10590, 901, 14820, 2337, 1628, 6015, 543, 6043, 563, 265, 8899, 8682, 7232, 4614, 655, 281, 3767, 4952, 1818, 513, 12161, 1282, 513, 6881, 693, 1153, 269, 25126, 609, 1970, 1582, 12635, 1522, 1589, 267, 834, 25444, 1590, 13842, 803, 1631, 2437, 610, 834, 296, 2141, 3190, 1919, 909, 1701, 3683, 628, 9722, 9073, 543, 23029, 593, 2942, 4555, 666, 3180, 596, 1394, 689, 3843, 1007, 2833, 780, 2005, 781, 1898, 547, 2226, 513, 7059, 2070, 540, 13951, 676, 14344, 1312, 9342, 543, 12755, 3079, 540, 1373, 1932, 9157, 610, 1932, 7003, 1304, 269, 1924, 267, 11441, 585, 14619, 950, 10442, 707, 3527, 543, 18517, 780, 1262, 4089, 476, 273, 281, 24531, 2659, 14740, 4373, 7312, 3961, 2882, 1585, 3344, 971, 607, 7209, 267, 2418, 267, 18653, 267, 1983, 267, 543, 4282, 269, 898, 5546, 875, 596, 2170, 609, 519, 1158, 1472, 596, 543, 7506, 3664, 827, 3347, 267, 12348, 267, 11678, 267, 543, 811, 780, 288, 1713, 3815, 18363, 835, 781, 3961, 1646, 568, 6476, 547, 1866, 269, 4317, 2923, 5867, 1419, 13686, 4998, 1242, 8747, 540, 1004, 781, 2729, 267, 4929, 4606, 540, 14413, 638, 2329, 269, 1717, 267, 3314, 602, 3025, 8188, 2189, 12959, 3297, 6806, 9885, 269, 5502, 540, 31743, 1310, 2576, 3116, 781, 3961, 267, 1445, 593, 12423, 707, 1378, 4690, 543, 7907, 780, 1262, 4089, 476, 274, 281, 5899, 1516, 585, 28742, 5288, 269, 3131, 325, 1254, 1143, 4373, 15919, 267, 20678, 547, 2087, 543, 3035, 17284, 4991, 11821, 609, 19870, 1143, 269, 1809, 1705, 596, 917, 602, 4259, 791, 1601, 4601, 1164, 4441, 666, 2965, 2800, 707, 2790, 1072, 286, 9861, 513, 19870, 626, 1797, 24584, 4986, 2110, 540, 16950, 16531, 689, 3054, 630, 663, 3006, 1866, 1070, 3056, 547, 3586, 29359, 543, 2566, 780, 2080, 616, 930, 3604, 1063, 20678, 585, 17284, 543, 19870, 1143, 1384, 347, 2878, 18360, 1516, 585, 28742, 1262, 1923, 2878, 8110, 325, 1254, 1143, 1262, 11406, 347, 19203, 347, 19203, 2008, 347, 18964, 2208, 543, 6454, 1923, 30498, 7543, 4441, 11406, 347, 10312, 539, 593, 3356, 2864, 982, 6364, 1923, 11879, 540, 1022, 6959, 610, 20924, 11406, 347, 12529, 806, 5821, 607, 606, 4316, 547, 1451, 1923, 674, 8986, 5821, 543, 13290, 547, 12404, 621, 11406, 347, 2561, 3285, 919, 16268, 5955, 1923, 570, 1389, 9880, 13948, 543, 1219, 13208, 1923, 692, 2026, 596, 1332, 4587, 267, 960, 2509, 4742, 513, 1268, 945, 6663, 585, 2123, 1655, 338, 3079, 540, 13197, 7543, 16431, 269, 5457, 267, 1100, 835, 568, 3501, 1107, 1519, 1346, 9583, 16950, 1652, 4623, 6203, 2228, 269, 1635, 1620, 1582, 12635, 543, 3961, 267, 596, 3513, 1020, 883, 513, 8746, 1367, 5827, 540, 10188, 1272, 781, 1082, 9035, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3674, 3131, 325, 1254, 1143, 589, 6178, 2986, 23247, 888, 1432, 1772, 3131, 325, 1254, 1143, 888, 14294, 2986, 23247, 269, 1403, 596, 723, 513, 6643, 609, 2576, 1279, 2614, 267, 621, 3884, 1406, 16613, 547, 5873, 873, 2161, 789, 616, 2182, 593, 2933, 267, 789, 2461, 513, 19870, 626, 267, 723, 513, 19870, 626, 1950, 610, 789, 723, 791, 739, 528, 6794, 269, 3958, 267, 2188, 899, 1514, 2923, 1118, 621, 2653, 585, 721, 547, 1294, 875, 1866, 2661, 267, 9236, 938, 2729, 547, 873, 269, 1284, 949, 538, 2490, 1745, 649, 723, 547, 1689, 938, 5920, 267, 5957, 14704, 9660, 543, 5299, 519, 6163, 540, 1866, 547, 581, 7608, 269, 2755, 513, 2370, 3787, 540, 19870, 1143, 568, 3339, 543, 2635, 267, 621, 666, 849, 581, 16609, 267, 543, 2014, 1279, 3856, 2591, 563, 2467, 616, 1808, 7592, 2404, 609, 621, 602, 666, 581, 513, 2386, 13933, 1129, 540, 2576, 945, 814, 4810, 8194, 269, 1677, 1039, 267, 621, 3884, 1406, 607, 2241, 607, 2576, 945, 2760, 14659, 789, 2461, 1434, 2614, 543, 814, 513, 19870, 1950, 267, 610, 568, 606, 936, 778, 773, 591, 269, 3131, 325, 1254, 1143, 666, 1831, 911, 15436, 1944, 543, 9688, 532, 607, 2576, 814, 32601, 6788, 540, 2933, 1256, 789, 949, 711, 581, 513, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20236, 7232, 4614, 655, 543, 14740, 257, 607, 851, 540, 834, 25787, 1315, 22226, 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, 8092, 15369, 13115, 3098, 281, 589, 11096, 28441, 16709, 540, 7087, 18467, 540, 18833, 692, 7072, 692, 2026, 649, 20920, 609, 519, 10848, 540, 519, 8938, 23867, 2540, 267, 1082, 540, 721, 616, 5275, 4244, 2081, 540, 1620, 6000, 543, 938, 2078, 547, 519, 1158, 1472, 721, 269, 901, 3406, 814, 3366, 930, 547, 556, 29264, 6805, 5380, 267, 799, 723, 1279, 4371, 2244, 543, 1747, 607, 3844, 547, 741, 23835, 1670, 4978, 1107, 602, 568, 267, 741, 1620, 540, 1018, 621, 1797, 547, 2291, 543, 9305, 547, 1866, 269, 769, 713, 3184, 267, 649, 786, 2263, 519, 1523, 540, 2244, 2861, 23835, 3098, 1369, 519, 2796, 540, 6805, 6138, 269, 1635, 6313, 1883, 2093, 971, 607, 22228, 640, 267, 25262, 640, 267, 543, 5539, 267, 649, 4126, 547, 1683, 596, 609, 513, 4514, 7071, 585, 891, 3638, 26381, 3098, 543, 875, 789, 1522, 1217, 938, 7104, 2104, 780, 9824, 1049, 640, 281, 634, 5680, 540, 5020, 692, 4263, 519, 2295, 540, 1034, 6805, 24866, 6013, 519, 2856, 540, 22228, 640, 1107, 519, 3661, 602, 782, 7919, 616, 4448, 998, 3347, 540, 8994, 13829, 543, 2463, 269, 4340, 547, 713, 2070, 267, 3425, 798, 711, 19582, 513, 29341, 2990, 29691, 513, 15796, 540, 1373, 267, 855, 2864, 616, 703, 2954, 1303, 342, 1441, 609, 1169, 2460, 540, 5137, 269, 1306, 1323, 880, 2088, 23042, 16159, 2274, 22828, 5975, 553, 32115, 820, 3244, 12121, 6941, 267, 834, 29378, 1702, 1949, 2066, 25725, 6816, 630, 22139, 3013, 264, 12398, 8103, 4009, 569, 1369, 3103, 540, 737, 29023, 543, 2078, 609, 811, 982, 1480, 10600, 257, 630, 8245, 12121, 267, 476, 1001, 278, 6393, 1607, 8561, 593, 22228, 640, 24716, 25921, 609, 5375, 10952, 5389, 267, 799, 1419, 11168, 1367, 13190, 543, 1582, 29027, 269, 1280, 1082, 6805, 9082, 267, 2705, 267, 9301, 13951, 607, 851, 540, 513, 3677, 2898, 568, 1898, 585, 2713, 31719, 543, 30396, 2390, 519, 3618, 269, 898, 5205, 1287, 602, 1022, 2800, 2944, 547, 519, 2244, 610, 922, 11317, 6038, 28746, 13951, 267, 607, 649, 616, 782, 3808, 1927, 538, 513, 5318, 3060, 540, 1894, 780, 13434, 760, 10635, 640, 281, 29179, 7982, 547, 12624, 3047, 692, 5141, 846, 569, 13615, 547, 519, 10206, 540, 22228, 640, 568, 519, 6240, 540, 25262, 640, 1107, 519, 2259, 540, 4758, 1394, 547, 519, 2244, 543, 922, 7068, 538, 14696, 585, 741, 13344, 269, 769, 6805, 4529, 267, 713, 1419, 3217, 519, 1106, 540, 30060, 2853, 267, 17008, 267, 543, 9423, 2966, 547, 2226, 3666, 543, 10103, 1063, 3425, 543, 519, 2067, 1158, 780, 2690, 1383, 267, 1851, 519, 670, 7596, 523, 6242, 2317, 324, 1004, 630, 10193, 1634, 607, 519, 594, 549, 638, 12251, 28583, 2329, 1070, 7064, 15130, 9607, 616, 5340, 1282, 1585, 5933, 540, 9544, 267, 16276, 267, 543, 4393, 8970, 267, 10365, 267, 543, 23601, 1107, 519, 8422, 590, 8651, 25411, 1255, 540, 741, 2732, 269, 1452, 18531, 2769, 14696, 711, 1152, 585, 519, 1426, 3294, 855, 849, 585, 519, 4245, 4121, 689, 2324, 609, 891, 2371, 543, 519, 9021, 602, 2097, 609, 8391, 741, 29667, 344, 780, 3528, 8026, 25262, 640, 267, 6805, 2950, 11760, 741, 967, 20623, 1540, 1145, 547, 519, 2244, 543, 11441, 547, 8190, 621, 585, 2104, 5481, 269, 901, 6763, 538, 22880, 4334, 547, 2413, 24041, 7239, 267, 1141, 2200, 616, 4749, 23699, 1510, 2543, 585, 741, 1279, 3856, 4539, 780, 25215, 976, 2225, 281, 595, 2130, 585, 2353, 3776, 9534, 692, 23338, 547, 1312, 22228, 640, 543, 25262, 640, 568, 519, 2856, 540, 5539, 1107, 519, 10279, 547, 1416, 585, 782, 938, 1894, 267, 1480, 543, 6382, 269, 901, 2631, 540, 17185, 14340, 689, 606, 4656, 540, 938, 25872, 543, 519, 6284, 602, 938, 3527, 723, 2484, 23568, 5222, 593, 1346, 1472, 721, 780, 3080, 1259, 713, 5539, 28107, 568, 998, 19642, 540, 519, 2244, 269, 3509, 6805, 6082, 2070, 2933, 607, 1416, 339, 5474, 2864, 982, 5411, 540, 741, 11182, 267, 1303, 27434, 609, 8497, 873, 585, 2104, 5481, 269, 901, 2802, 545, 540, 1416, 11498, 3564, 7525, 1920, 2818, 610, 17174, 28930, 919, 267, 21214, 3003, 8134, 543, 519, 3309, 1272, 3029, 789, 1489, 780, 5194, 4082, 540, 5539, 666, 581, 1336, 538, 3646, 547, 28160, 1125, 4081, 10459, 676, 1298, 1359, 6805, 9739, 543, 917, 1194, 2471, 269, 18623, 899, 27692, 16515, 6062, 342, 2967, 8055, 8044, 602, 28160, 1436, 3322, 4101, 16402, 1417, 878, 10054, 827, 5168, 267, 1379, 267, 543, 1702, 2504, 1247, 7586, 4328, 12790, 5380, 12082, 538, 2199, 2833, 543, 12583, 630, 29834, 267, 476, 1960, 280, 1040, 1635, 3257, 865, 267, 5640, 4126, 547, 2699, 816, 3140, 4636, 338, 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 ]
[ 5469, 2496, 29490, 267, 6884, 610, 8550, 2496, 25111, 281, 476, 272, 543, 476, 273, 7420, 5426, 1384, 6701, 891, 6898, 11341, 547, 9642, 543, 1256, 2338, 2141, 3020, 267, 3006, 3020, 610, 2760, 3020, 2496, 305, 3326, 936, 519, 667, 823, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 19400, 713, 3381, 547, 1294, 875, 547, 5066, 519, 18062, 269, 3767, 621, 781, 707, 2490, 256, 1548, 798, 596, 5469, 827, 519, 18062, 2338, 596, 723, 6592, 2496, 13900, 523, 781, 1230, 915, 675, 692, 25111, 281, 476, 274, 7420, 5426, 1384, 13900, 523, 1500, 519, 28756, 675, 602, 834, 22336, 2789, 540, 3670, 814, 811, 2188, 982, 519, 1079, 2338, 2901, 2427, 540, 621, 2668, 1772, 713, 28756, 675, 3020, 2496, 307, 1963, 9453, 570, 839, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 20059, 580, 622, 543, 2491, 519, 3270, 602, 596, 1294, 689, 10916, 1175, 519, 4559, 9704, 540, 2338, 538, 519, 2053, 7515, 780, 31161, 8409, 16199, 1407, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 2690, 713, 4305, 267, 596, 3513, 991, 606, 589, 275, 6656, 543, 1079, 589, 276, 12001, 9212, 269, 32341, 593, 513, 1259, 540, 25786, 519, 589, 276, 9212, 593, 1283, 540, 519, 589, 275, 6656, 543, 2263, 27250, 291, 1456, 667, 15085, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 8196, 519, 1344, 827, 519, 26414, 593, 513, 1880, 3484, 547, 1265, 856, 799, 540, 519, 6898, 827, 873, 1590, 581, 3020, 780, 18698, 11822, 631, 1952, 902, 692, 25111, 281, 476, 274, 7420, 5426, 1384, 18439, 519, 2078, 1063, 2241, 5276, 3252, 543, 741, 11708, 780, 290, 2945, 322, 5737, 20134, 10606, 692, 25111, 281, 476, 274, 7420, 5426, 1384, 2710, 596, 5469, 4376, 827, 519, 3435, 950, 596, 1039, 543, 5924, 10208, 15654, 2942, 2338, 2496, 291, 823, 267, 13705, 525, 543, 11202, 1811, 692, 25111, 281, 476, 272, 267, 476, 273, 543, 476, 274, 692, 1607, 2376, 585, 3610, 11828, 1806, 540, 2042, 538, 799, 972, 568, 1100, 6654, 1505, 855, 538, 799, 1453, 666, 581, 9415, 547, 1589, 7184, 827, 519, 2796, 543, 8831, 741, 2702, 547, 269, 1547, 1547, 16317, 19370, 14572, 267, 4635, 543, 16792, 543, 23398, 9119, 692, 25111, 281, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 19370, 6061, 568, 693, 519, 2295, 540, 519, 715, 30278, 295, 3135, 269, 2353, 519, 2042, 2285, 6267, 3255, 547, 1451, 267, 1020, 610, 946, 6310, 2035, 543, 1983, 269, 3367, 1934, 585, 811, 1344, 780, 305, 582, 908, 21121, 692, 25111, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 1432, 4523, 547, 519, 15943, 540, 6906, 13235, 607, 519, 1079, 4130, 10580, 1689, 2450, 543, 5066, 1472, 3330, 519, 8273, 5858, 2496, 31917, 10606, 692, 25111, 281, 476, 274, 7420, 5426, 1384, 12648, 1022, 2898, 1297, 1063, 476, 272, 543, 476, 15886, 267, 1039, 519, 10945, 540, 519, 9704, 547, 1205, 513, 1007, 1297, 269, 5269, 930, 28756, 999, 827, 1018, 4523, 538, 2489, 780, 29490, 513, 13038, 2496, 25111, 281, 476, 274, 7420, 5426, 1384, 13914, 540, 513, 1079, 7857, 1297, 267, 9258, 519, 9704, 267, 543, 1039, 519, 2338, 1927, 269, 23985, 2027, 4523, 13718, 12648, 2290, 7151, 692, 25111, 281, 476, 272, 543, 476, 273, 692, 1607, 2376, 12857, 519, 2856, 540, 13598, 6169, 585, 7820, 1453, 543, 14550, 875, 835, 1383, 666, 2709, 513, 6169, 540, 513, 2489, 1267, 998, 10002, 22326, 922, 5817, 2497, 780, 29490, 267, 6884, 610, 8550, 286, 23426, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 6701, 891, 6898, 2141, 3020, 267, 3006, 3020, 610, 2760, 3020, 2496, 290, 10938, 11202, 692, 25111, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 19177, 22203, 540, 3160, 3259, 616, 26523, 539, 693, 741, 1439, 9557, 547, 1106, 513, 32077, 639, 269, 634, 32377, 2743, 693, 2473, 269, 2290, 6316, 568, 6378, 267, 519, 6587, 6316, 568, 4847, 547, 1847, 538, 519, 7077, 269, 14674, 519, 30580, 540, 269, 1547, 1547, 16317, 13142, 12340, 781, 29570, 692, 25111, 281, 476, 274, 7420, 5426, 1384, 13142, 12340, 814, 2813, 513, 11837, 269, 2052, 596, 4137, 856, 1018, 621, 1281, 286, 1548, 2055, 1281, 621, 5401, 596, 547, 2307, 2496, 4002, 519, 11957, 540, 16677, 656, 787, 692, 25111, 281, 476, 274, 267, 476, 275, 543, 476, 276, 692, 288, 4367, 547, 875, 3270, 666, 581, 13587, 1516, 267, 543, 1018, 568, 543, 568, 711, 513, 6169, 269, 0, 258, 476, 4335, 538, 9293, 692, 763, 1297, 476, 4335, 568, 25250, 607, 968, 325, 633, 4627, 6100, 898, 568, 2947, 2053, 835, 4627, 269, 1280, 1383, 267, 952, 596, 723, 476, 4335, 11113, 267, 596, 723, 2947, 2516, 540, 835, 4627, 11113, 1142, 780, 25569, 338, 570, 839, 2201, 525, 476, 276, 476, 271, 476, 271, 692, 1012, 1215, 547, 3503, 476, 4335, 538, 9293, 2496, 16240, 476, 4335, 538, 1913, 568, 2241, 269, 898, 5161, 540, 513, 2048, 276, 685, 538, 519, 7366, 1747, 267, 543, 2048, 271, 685, 538, 1312, 519, 9937, 543, 3283, 4025, 267, 1818, 621, 2048, 26668, 25569, 9957, 1403, 596, 723, 2947, 4627, 2835, 267, 596, 2161, 267, 968, 296, 723, 2947, 4627, 2835, 1848, 4475, 267, 476, 4335, 568, 2854, 607, 2048, 26668, 25569, 17483, 7078, 912, 272, 269, 9255, 10025, 15873, 912, 295, 4348, 338, 281, 476, 276, 267, 570, 839, 281, 476, 271, 267, 2201, 525, 281, 476, 271, 454, 273, 269, 5675, 621, 1524, 281, 476, 4335, 815, 12866, 25569, 454, 8139, 713, 2337, 538, 30230, 4771, 519, 9238, 540, 8204, 3677, 2338, 538, 1913, 780, 1012, 14174, 304, 593, 476, 4335, 538, 9293, 692, 2162, 1215, 568, 519, 1297, 476, 4335, 25250, 538, 1913, 2496, 763, 1297, 476, 4335, 568, 25250, 607, 2048, 26668, 4627, 685, 780, 2162, 1548, 1281, 476, 4335, 1413, 899, 538, 2262, 1106, 2496, 1103, 2262, 1106, 267, 476, 4335, 568, 2048, 26668, 4627, 685, 780, 2162, 1403, 596, 1293, 547, 476, 4335, 267, 875, 798, 596, 2328, 713, 1297, 2496, 2691, 10203, 547, 476, 4335, 267, 2328, 621, 607, 2048, 26668, 4627, 9957, 0, 258, 7089, 7412, 11788, 4147, 476, 278, 10298, 3848, 476, 280, 692, 1012, 7089, 7412, 11788, 4147, 476, 278, 10298, 3848, 476, 280, 20587, 1137, 692, 8702, 547, 715, 6311, 289, 10298, 269, 3371, 609, 713, 2022, 649, 616, 2469, 547, 948, 476, 278, 628, 1362, 1053, 585, 519, 10298, 540, 7089, 7412, 11788, 4147, 476, 278, 4569, 3883, 267, 3848, 476, 280, 267, 20587, 1137, 269, 3371, 1053, 666, 3362, 1265, 1900, 676, 1900, 3435, 540, 782, 519, 2042, 585, 20587, 1137, 267, 11644, 476, 280, 288, 543, 476, 280, 289, 4746, 1934, 938, 6128, 4116, 779, 616, 12193, 782, 519, 2042, 609, 3362, 24669, 2409, 609, 1697, 5583, 865, 602, 782, 519, 1053, 666, 1174, 3362, 269, 3371, 538, 713, 2022, 1053, 786, 1205, 3848, 476, 280, 3435, 269, 3371, 538, 713, 2022, 782, 519, 3435, 616, 1759, 593, 5767, 28924, 16086, 780, 8110, 1417, 1137, 11644, 476, 280, 288, 8827, 23241, 9223, 1100, 1107, 630, 272, 2020, 590, 12991, 302, 269, 26271, 27252, 20587, 720, 630, 320, 264, 476, 271, 269, 1691, 476, 1691, 260, 630, 321, 264, 476, 272, 270, 1220, 630, 322, 264, 476, 13078, 630, 323, 264, 476, 271, 269, 6795, 630, 324, 264, 476, 280, 270, 1911, 692, 11405, 1109, 1384, 590, 12991, 302, 269, 26271, 2433, 27252, 2433, 20587, 720, 2433, 630, 320, 264, 476, 1691, 270, 1911, 815, 476, 278, 270, 2004, 476, 271, 269, 1691, 476, 1691, 260, 630, 321, 264, 476, 272, 270, 1220, 476, 271, 269, 276, 270, 1911, 271, 815, 476, 271, 269, 22650, 476, 271, 269, 276, 260, 630, 322, 264, 476, 736, 270, 1911, 815, 476, 272, 270, 276, 476, 271, 269, 273, 476, 13078, 630, 323, 264, 476, 6795, 270, 1911, 476, 271, 269, 6795, 476, 6795, 260, 630, 324, 264, 476, 280, 270, 1911, 476, 271, 269, 6021, 476, 280, 30515, 9223, 1100, 1107, 630, 273, 2020, 11405, 23241, 5416, 264, 476, 273, 270, 276, 692, 11693, 267, 476, 273, 270, 276, 692, 284, 630, 273, 270, 276, 6398, 476, 1911, 264, 30515, 284, 476, 2412, 30515, 6357, 264, 476, 273, 476, 274, 270, 276, 692, 11693, 267, 476, 273, 476, 274, 270, 276, 692, 284, 630, 1724, 270, 276, 6398, 476, 1911, 264, 30515, 284, 476, 18605, 30515, 6262, 264, 476, 274, 270, 1839, 692, 11693, 267, 476, 274, 270, 1839, 692, 284, 630, 274, 270, 1839, 6398, 476, 1911, 264, 30515, 284, 476, 1321, 30515, 5560, 264, 476, 278, 270, 2412, 692, 11693, 267, 476, 278, 270, 2412, 692, 284, 630, 278, 270, 2412, 6398, 476, 1911, 2020, 284, 476, 1704, 269, 276, 4939, 692, 9223, 1100, 1107, 630, 274, 2020, 11405, 23241, 5416, 264, 476, 6858, 30515, 11693, 267, 476, 6858, 30515, 284, 476, 6858, 270, 1911, 692, 6357, 264, 476, 273, 476, 272, 270, 279, 30515, 11693, 267, 476, 273, 476, 272, 270, 279, 30515, 284, 476, 1704, 270, 279, 30515, 284, 476, 1704, 270, 8517, 692, 6262, 264, 476, 280, 269, 279, 30515, 11693, 267, 476, 280, 269, 279, 30515, 284, 476, 280, 269, 1240, 270, 1911, 692, 284, 476, 7176, 270, 1911, 271, 692, 5560, 264, 476, 15793, 30515, 11693, 267, 476, 15793, 30515, 284, 476, 15793, 270, 1911, 692, 9223, 1100, 1107, 630, 275, 2020, 11405, 23241, 5416, 264, 476, 277, 269, 279, 4939, 692, 11693, 267, 476, 277, 269, 279, 4939, 692, 284, 476, 277, 269, 279, 270, 1911, 271, 692, 284, 476, 1704, 270, 7742, 692, 284, 476, 1704, 2433, 476, 7742, 692, 6357, 264, 476, 4281, 30515, 11693, 267, 476, 4281, 30515, 284, 476, 4281, 270, 1911, 692, 284, 476, 4375, 270, 2004, 692, 284, 476, 4375, 2433, 476, 2004, 692, 6262, 264, 476, 274, 269, 3393, 30515, 11693, 267, 476, 274, 269, 3393, 30515, 284, 476, 24833, 270, 1911, 876, 692, 284, 476, 7597, 270, 1220, 271, 692, 284, 476, 7597, 2433, 476, 1220, 271, 692, 5560, 264, 476, 275, 269, 3445, 30515, 11693, 267, 476, 275, 269, 3445, 30515, 284, 476, 5392, 270, 1911, 271, 692, 284, 476, 5392, 281, 1911, 271, 692, 9223, 1100, 1107, 630, 276, 2020, 11405, 23241, 5416, 264, 476, 9262, 30515, 11693, 267, 476, 9262, 30515, 284, 476, 9262, 270, 1911, 692, 284, 476, 271, 269, 9262, 692, 6357, 264, 476, 274, 476, 272, 270, 277, 4939, 692, 11693, 267, 476, 274, 476, 272, 270, 277, 4939, 692, 284, 476, 866, 270, 4792, 692, 284, 476, 274, 269, 1704, 270, 1911, 692, 284, 476, 271, 269, 31648, 278, 692, 6262, 264, 476, 24833, 30515, 11693, 267, 476, 24833, 30515, 284, 476, 24833, 270, 1911, 692, 284, 476, 274, 269, 3393, 692, 5560, 264, 476, 271, 269, 4281, 4939, 692, 11693, 267, 476, 271, 269, 4281, 4939, 692, 284, 476, 4281, 270, 1911, 876, 692, 284, 476, 271, 269, 23669, 279, 692, 9223, 1100, 1107, 630, 277, 2020, 11405, 23241, 5416, 264, 476, 273, 269, 2767, 692, 284, 476, 25375, 270, 1911, 692, 284, 476, 25375, 30515, 6357, 264, 476, 271, 269, 9262, 692, 284, 476, 9262, 270, 1911, 692, 284, 476, 9262, 30515, 6262, 264, 476, 3953, 269, 277, 692, 284, 476, 30444, 6398, 476, 1015, 270, 1015, 6398, 476, 1015, 692, 284, 476, 30444, 271, 30515, 5560, 264, 476, 271, 269, 13970, 692, 284, 476, 13970, 270, 1911, 271, 692, 284, 476, 1691, 269, 276, 30515, 9223, 1100, 1107, 630, 278, 2020, 11405, 23241, 5416, 264, 476, 274, 2433, 476, 276, 692, 284, 476, 274, 270, 276, 692, 284, 630, 274, 270, 276, 6398, 476, 1911, 264, 30515, 284, 476, 2568, 30515, 6357, 264, 476, 1321, 2433, 476, 2190, 692, 284, 476, 1321, 270, 2190, 692, 284, 630, 1321, 270, 2190, 6398, 476, 1911, 264, 30515, 284, 476, 2004, 30515, 6262, 264, 476, 4097, 2433, 476, 1704, 692, 284, 476, 4097, 270, 1704, 692, 284, 630, 4097, 270, 1704, 6398, 476, 1911, 264, 30515, 284, 476, 1220, 30515, 5560, 264, 476, 1321, 2433, 476, 276, 692, 284, 476, 1321, 270, 276, 692, 284, 630, 1321, 270, 276, 6398, 476, 1911, 2020, 284, 476, 13301, 30515, 8110, 1417, 1137, 11644, 476, 280, 289, 8827, 23241, 9223, 1100, 1107, 630, 272, 2020, 11405, 23241, 5416, 264, 476, 277, 260, 540, 476, 12573, 692, 284, 476, 277, 270, 1911, 6398, 476, 12573, 692, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 2780, 13033, 267, 2199, 10676, 568, 513, 3984, 4067, 602, 1797, 713, 2780, 543, 949, 581, 1031, 547, 1569, 519, 2780, 781, 1378, 3060, 2533, 3842, 922, 8520, 3724, 3060, 8818, 563, 288, 2199, 10676, 568, 602, 3044, 3984, 4067, 2016, 547, 519, 3684, 3294, 269, 28871, 6719, 676, 519, 7379, 2232, 476, 14096, 269, 271, 269, 271, 269, 272, 454, 2791, 616, 1934, 281, 9218, 3436, 700, 910, 26479, 269, 10871, 10676, 269, 634, 2199, 10676, 568, 519, 9949, 2012, 10503, 519, 2199, 2780, 2232, 849, 1634, 607, 519, 8520, 3724, 2232, 563, 14096, 269, 271, 269, 271, 269, 272, 568, 606, 11603, 7379, 341, 275, 2232, 269, 476, 14096, 269, 271, 269, 271, 269, 272, 568, 513, 2027, 3483, 2232, 15007, 958, 1031, 607, 513, 2780, 781, 8520, 3724, 2232, 563, 763, 2012, 2199, 10676, 568, 11603, 676, 519, 5769, 7177, 17130, 10414, 630, 296, 4953, 293, 264, 538, 681, 15598, 476, 18605, 277, 630, 18907, 476, 1960, 280, 264, 607, 513, 6389, 2012, 6003, 602, 949, 711, 581, 8704, 607, 513, 1283, 7400, 4429, 17504, 12304, 269, 476, 4968, 271, 318, 16769, 269, 476, 3199, 279, 271, 318, 16769, 269, 13755, 13933, 269, 18768, 269, 667, 14442, 531, 269, 28833, 269, 594, 3041, 269, 7379, 269, 1535, 600, 653, 563, 26222, 10676, 269, 476, 26297, 15055, 269, 1411, 666, 1265, 519, 15264, 538, 621, 17480, 256, 9612, 585, 721, 2221, 256, 8940, 7456, 5914, 10676, 19651, 2593, 454, 874, 335, 7069, 3849, 2381, 2501, 609, 513, 2647, 2039, 540, 12319, 543, 3755, 616, 10950, 547, 9337, 938, 530, 5942, 3817, 547, 2671, 2093, 543, 875, 339, 657, 585, 1585, 4238, 563, 2704, 11420, 528, 5206, 281, 3436, 2052, 2199, 10676, 3028, 581, 8704, 538, 654, 278, 24605, 286, 834, 26222, 10676, 257, 3884, 1405, 513, 3028, 269, 898, 781, 513, 22665, 2012, 8655, 547, 519, 7379, 2232, 476, 14096, 269, 271, 269, 271, 269, 272, 267, 543, 4429, 763, 8837, 5665, 1062, 3096, 513, 3984, 4067, 1572, 834, 29985, 10676, 257, 547, 6330, 547, 513, 5680, 7746, 3028, 4092, 593, 519, 2199, 18376, 269, 10871, 10676, 568, 4122, 1031, 676, 3267, 0, 7476, 1863, 3211, 7132, 2238, 267, 4930, 267, 543, 2257, 3785, 563, 21886, 5971, 707, 4098, 5856, 547, 1451, 519, 1114, 18685, 7436, 609, 713, 2259, 6656, 269, 1261, 3513, 2697, 519, 2596, 10678, 18685, 7436, 543, 1287, 2259, 1603, 5220, 609, 1142, 835, 563, 8253, 606, 4065, 2593, 4759, 2943, 286, 8073, 606, 10055, 454, 2704, 2819, 513, 4759, 286, 6178, 769, 454, 300, 20047, 4309, 4065, 2593, 15737, 269, 1411, 666, 1689, 4757, 7375, 538, 2272, 5468, 563, 2171, 3513, 6494, 596, 513, 19027, 3009, 547, 19268, 707, 10957, 3619, 1394, 547, 1129, 538, 2985, 454, 763, 4757, 568, 593, 922, 1259, 269, 7490, 1450, 513, 1906, 3764, 585, 621, 547, 12446, 269, 9894, 333, 1405, 4309, 519, 4757, 286, 3619, 1394, 543, 2119, 1586, 0, 763, 1975, 12688, 18342, 16263, 729, 9250, 676, 8331, 538, 476, 1220, 274, 15301, 14813, 14518, 12345, 616, 12842, 676, 519, 5790, 4700, 901, 10452, 339, 10061, 2100, 814, 606, 476, 5952, 9492, 8006, 11604, 267, 609, 519, 10916, 7405, 322, 944, 539, 547, 476, 276, 269, 276, 22398, 9109, 269, 634, 4277, 1448, 827, 922, 10739, 568, 602, 621, 323, 3996, 711, 10739, 519, 3047, 269, 898, 814, 1044, 2322, 883, 10739, 827, 519, 6129, 1107, 933, 2161, 621, 568, 538, 513, 911, 4979, 10739, 3297, 519, 3047, 563, 7078, 476, 276, 269, 4208, 1522, 713, 968, 10177, 4979, 10739, 892, 581, 9120, 547, 606, 528, 4226, 827, 519, 3047, 585, 606, 18342, 16263, 888, 763, 1883, 1934, 568, 519, 1249, 602, 18342, 5982, 568, 3002, 5982, 269, 1677, 2057, 8143, 13779, 519, 16263, 7405, 332, 755, 581, 6854, 1360, 4411, 269, 1717, 519, 3047, 10237, 919, 18342, 269, 1635, 15209, 519, 16263, 538, 10739, 827, 519, 6129, 267, 543, 1210, 513, 3859, 13104, 547, 2149, 621, 689, 519, 6129, 779, 5982, 267, 519, 2179, 540, 9023, 2838, 568, 1360, 3648, 4389, 267, 3056, 547, 989, 805, 518, 10715, 585, 519, 10198, 563, 763, 1975, 12688, 16263, 30397, 18342, 5982, 689, 16830, 6801, 602, 18484, 1406, 12520, 1454, 7298, 1769, 267, 543, 814, 849, 9571, 519, 4527, 540, 10785, 538, 824, 3859, 1949, 689, 519, 18342, 789, 616, 32749, 269, 769, 611, 1288, 267, 18342, 5982, 666, 23309, 10053, 3154, 12269, 538, 838, 659, 996, 520, 3625, 7298, 1769, 269, 634, 1975, 12688, 16263, 6087, 721, 547, 968, 572, 996, 893, 892, 891, 12269, 2529, 335, 12688, 10443, 856, 540, 922, 5277, 26775, 3579, 656, 593, 2904, 476, 1428, 267, 476, 1220, 280, 267, 543, 621, 568, 852, 8337, 909, 547, 519, 19355, 2837, 630, 1789, 298, 1040, 2859, 1382, 568, 680, 10165, 585, 519, 16263, 267, 5665, 538, 922, 968, 342, 1301, 892, 5123, 563, 31466, 992, 1511, 5982, 568, 12842, 676, 1216, 910, 602, 568, 875, 17196, 990, 839, 960, 269, 1924, 519, 1216, 32350, 538, 519, 5790, 786, 10110, 514, 5765, 17196, 5982, 563, 7078, 476, 277, 269, 4208, 568, 513, 2101, 17196, 16263, 521, 1243, 693, 519, 3162, 303, 1961, 888, 25802, 4411, 2011, 3112, 3180, 1454, 1216, 32350, 269, 901, 3916, 1080, 519, 2702, 540, 519, 5790, 693, 519, 3162, 24504, 547, 1860, 519, 514, 5765, 14580, 2314, 269, 6423, 519, 3113, 2630, 563, 763, 3113, 2982, 875, 4411, 2011, 568, 2141, 1360, 3819, 269, 634, 2702, 540, 2011, 1729, 3180, 1216, 32350, 4679, 6385, 607, 519, 2837, 14380, 912, 5194, 5413, 540, 17568, 519, 16263, 693, 519, 3162, 24504, 529, 602, 519, 24504, 568, 476, 273, 269, 279, 14790, 1657, 4262, 1377, 267, 865, 519, 5790, 568, 7758, 8271, 6094, 19037, 7868, 3162, 24504, 23571, 630, 306, 8976, 264, 568, 513, 476, 1015, 31475, 516, 2992, 528, 267, 2966, 547, 1889, 5501, 14580, 2314, 540, 15423, 1447, 982, 476, 272, 7825, 269, 634, 1804, 8006, 1993, 519, 16263, 11604, 4679, 519, 5365, 4607, 267, 543, 10607, 454, 263, 5408, 519, 4901, 538, 519, 15571, 23571, 3296, 1916, 763, 8006, 540, 513, 16263, 5540, 1312, 519, 9588, 1993, 519, 5365, 4607, 543, 519, 6571, 540, 519, 3239, 563, 763, 590, 8976, 568, 1031, 547, 12398, 11397, 13421, 540, 15270, 269, 898, 3096, 607, 2684, 10184, 4480, 5473, 1253, 25344, 538, 519, 15328, 6193, 31466, 992, 1511, 17461, 602, 829, 341, 3547, 519, 17807, 563, 28074, 540, 519, 5925, 5951, 8552, 14626, 1938, 609, 606, 11626, 30720, 1107, 5925, 6329, 616, 711, 12842, 547, 1022, 1713, 6708, 676, 1492, 5790, 269, 1924, 5925, 24985, 666, 581, 521, 1243, 593, 519, 3047, 779, 338, 16577, 269, 901, 2636, 1360, 1804, 3889, 547, 581, 3710, 269, 634, 10753, 767, 331, 2234, 3999, 10061, 2100, 2282, 25480, 814, 513, 2992, 528, 8006, 540, 476, 10602, 332, 269, 901, 2434, 2664, 600, 2678, 568, 1360, 1271, 585, 5355, 519, 454, 1993, 2959, 7424, 4767, 269, 2690, 513, 9764, 27934, 267, 1079, 1448, 2959, 666, 581, 4767, 607, 29323, 622, 267, 952, 519, 5086, 1063, 873, 568, 3152, 982, 454, 529, 519, 9771, 6571, 267, 3989, 676, 281, 7562, 454, 529, 519, 15423, 540, 519, 19670, 5982, 267, 543, 667, 568, 519, 323, 3554, 2678, 540, 519, 27934, 563, 7078, 476, 278, 269, 4855, 519, 16070, 6571, 540, 519, 10753, 767, 331, 12382, 641, 1168, 1156, 11287, 5925, 6329, 540, 15423, 476, 2641, 9492, 630, 1492, 7250, 1467, 1916, 270, 476, 10602, 815, 476, 274, 269, 275, 454, 284, 476, 271, 269, 866, 5232, 454, 1607, 568, 1360, 4057, 6571, 3379, 547, 9804, 24985, 4974, 6665, 1043, 1769, 912, 18893, 673, 3239, 16263, 20238, 1470, 3239, 16263, 454, 3080, 1259, 540, 5355, 6571, 568, 547, 6475, 1227, 3095, 513, 1297, 540, 1507, 8286, 267, 3927, 2810, 519, 8006, 269, 4913, 713, 1281, 711, 3648, 2087, 519, 2698, 5365, 4222, 516, 18727, 267, 607, 713, 5673, 593, 519, 2698, 1858, 540, 519, 21689, 10611, 611, 1470, 24985, 666, 581, 1031, 547, 6895, 5925, 2792, 689, 11898, 28525, 267, 3092, 267, 543, 666, 849, 581, 1031, 547, 1353, 16830, 5925, 2959, 514, 2230, 267, 799, 798, 711, 12520, 10156, 15423, 5982, 552, 3052, 269, 7298, 2775, 269, 0, 268, 2717, 1470, 24295, 6452, 1211, 958, 2598, 12737, 539, 676, 3794, 1314, 334, 29834, 298, 1467, 454, 268, 16262, 571, 343, 6452, 1211, 958, 1744, 5792, 547, 26597, 6997, 338, 454, 268, 1715, 10717, 17261, 1149, 616, 7348, 539, 607, 13518, 6380, 518, 543, 14568, 454, 21691, 1470, 24295, 6452, 1211, 531, 2598, 8408, 454, 21691, 1470, 3644, 568, 7168, 855, 3810, 23633, 269, 570, 2586, 689, 1743, 269, 3405, 1695, 574, 328, 2593, 563, 763, 6090, 529, 540, 713, 5816, 827, 10930, 267, 1732, 10074, 1210, 10717, 3079, 540, 23633, 7103, 729, 606, 10071, 602, 4607, 1360, 2370, 3007, 538, 519, 2475, 855, 729, 2462, 3377, 538, 2342, 543, 1765, 325, 17213, 569, 1765, 2675, 1563, 519, 581, 329, 2465, 345, 639, 856, 540, 803, 269, 5507, 2861, 3794, 1314, 334, 29834, 298, 1467, 630, 14899, 298, 264, 17019, 538, 513, 1867, 602, 922, 6669, 2504, 10986, 538, 19934, 546, 22981, 476, 1321, 17529, 540, 5277, 13572, 609, 1135, 328, 21552, 883, 519, 2199, 21137, 2126, 2030, 543, 13604, 883, 519, 20098, 928, 5211, 269, 962, 10105, 2336, 288, 22557, 2006, 568, 20926, 607, 6031, 602, 972, 729, 968, 534, 23139, 11166, 540, 7738, 3070, 602, 1185, 1044, 1031, 547, 24846, 1125, 3937, 1031, 538, 519, 5478, 540, 29887, 6669, 1848, 1717, 267, 8458, 540, 4896, 3384, 29887, 689, 1373, 6534, 547, 519, 1216, 941, 1767, 547, 581, 1360, 1970, 267, 968, 326, 1508, 519, 1164, 1377, 540, 8920, 1081, 543, 1164, 1377, 540, 1857, 12674, 892, 1765, 341, 3147, 1588, 1996, 29887, 568, 25471, 538, 19934, 269, 2334, 949, 581, 3020, 267, 855, 519, 3390, 568, 2810, 3106, 267, 607, 596, 3580, 1294, 689, 1018, 5205, 1934, 563, 268, 1715, 5303, 568, 6183, 958, 543, 8431, 584, 8271, 12182, 454, 268, 18628, 2987, 31957, 730, 3399, 1575, 814, 30171, 585, 590, 2438, 13503, 528, 2861, 14938, 9760, 4635, 1160, 2023, 610, 14333, 24544, 454, 268, 590, 11170, 1782, 12182, 8871, 2478, 8571, 853, 15362, 11660, 20180, 528, 8274, 543, 2622, 11412, 1144, 20764, 675, 13317, 1235, 454, 23871, 3578, 581, 5143, 267, 594, 4076, 1044, 606, 28048, 1246, 518, 1765, 604, 711, 29279, 1099, 2684, 850, 1765, 1993, 1985, 22831, 15971, 630, 7582, 306, 264, 2479, 2094, 519, 476, 1960, 271, 338, 950, 6427, 633, 3173, 1765, 325, 3241, 539, 676, 22078, 295, 9886, 1673, 3326, 1513, 1765, 323, 516, 3139, 540, 8420, 5217, 9474, 296, 779, 1287, 8789, 24638, 2861, 630, 10440, 8262, 291, 6614, 10378, 2165, 13541, 264, 5027, 15971, 1949, 269, 30487, 6069, 2029, 540, 713, 1131, 15515, 16327, 564, 819, 729, 538, 1249, 851, 540, 1250, 2816, 693, 9474, 296, 1394, 1287, 269, 2311, 519, 942, 267, 9474, 296, 729, 9513, 7366, 540, 6634, 540, 9489, 540, 922, 15971, 7405, 543, 556, 698, 757, 883, 519, 1287, 6385, 6932, 1765, 604, 711, 1011, 5317, 1765, 7615, 540, 1024, 15299, 269, 1924, 267, 596, 4769, 1406, 991, 606, 32233, 689, 12370, 547, 9959, 602, 1022, 2754, 602, 1223, 5010, 1125, 3648, 968, 325, 2120, 267, 1732, 267, 14949, 892, 15971, 1131, 1265, 8216, 2344, 1464, 543, 1522, 3035, 1256, 2362, 19614, 563, 268, 7935, 19233, 645, 1042, 883, 932, 7995, 13722, 532, 5253, 454, 268, 23520, 281, 654, 19123, 610, 2372, 871, 888, 268, 3657, 519, 15111, 543, 674, 12839, 3683, 342, 3559, 4364, 610, 7201, 704, 14127, 888, 8072, 4131, 1426, 581, 16815, 4915, 543, 4915, 581, 16815, 1426, 16224, 1767, 26194, 20215, 267, 5259, 10629, 538, 519, 11359, 2540, 7460, 538, 18603, 267, 1634, 607, 519, 4651, 540, 7262, 4915, 269, 3767, 267, 538, 519, 476, 2641, 560, 2540, 267, 3173, 616, 8380, 741, 1378, 8095, 593, 519, 6031, 676, 14236, 2081, 547, 6451, 16392, 7135, 538, 938, 1426, 563, 307, 2586, 689, 1072, 11069, 716, 2593, 454, 2791, 949, 11291, 835, 540, 1250, 2487, 9708, 1163, 15929, 519, 7805, 9354, 2360, 540, 22282, 538, 8156, 2589, 540, 20150, 267, 4481, 519, 2640, 540, 521, 592, 1721, 7469, 2033, 267, 519, 6923, 9648, 7623, 2219, 547, 581, 519, 3742, 5057, 269, 4270, 267, 22282, 568, 2899, 1586, 2921, 4099, 3942, 538, 513, 20248, 1644, 543, 811, 593, 15304, 1383, 1175, 9307, 676, 3173, 693, 519, 2160, 540, 7335, 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, 258, 1948, 272, 269, 12255, 27730, 25913, 30837, 351, 16088, 11590, 498, 25335, 496, 12255, 1477, 258, 1219, 1205, 303, 550, 21192, 10831, 3799, 8029, 258, 672, 1293, 815, 476, 271, 1477, 258, 672, 585, 1775, 538, 2039, 263, 272, 19885, 266, 272, 8029, 258, 1363, 1003, 815, 1775, 2608, 630, 274, 2608, 1775, 268, 272, 8358, 273, 1477, 258, 1363, 1948, 12255, 21211, 25426, 368, 23284, 419, 358, 374, 21550, 376, 421, 504, 498, 19764, 478, 1477, 258, 1363, 1820, 2891, 260, 323, 257, 260, 11133, 267, 754, 815, 1412, 1412, 3418, 258, 1363, 1293, 6834, 476, 272, 1477, 258, 1363, 1948, 30006, 493, 27310, 13107, 378, 419, 353, 374, 1015, 14748, 1477, 258, 1363, 952, 1293, 4939, 476, 1015, 2652, 271, 6769, 258, 17264, 1820, 28361, 333, 20298, 258, 1205, 303, 550, 21192, 10831, 263, 1911, 3418, 5897, 258, 1948, 273, 269, 418, 365, 480, 22047, 10533, 368, 12255, 12571, 482, 14748, 12255, 21211, 7511, 25520, 1477, 258, 2262, 815, 3403, 3488, 13644, 371, 27447, 24662, 10533, 368, 12255, 16088, 20298, 258, 795, 815, 7003, 27182, 3418, 258, 1592, 19571, 815, 1496, 15947, 258, 1219, 1292, 272, 27182, 8029, 258, 672, 2518, 795, 1477, 258, 672, 2518, 1592, 19571, 1477, 258, 672, 585, 1775, 538, 2039, 12759, 27182, 264, 8029, 258, 1363, 513, 815, 703, 27182, 264, 260, 1015, 1477, 258, 1363, 2262, 815, 1193, 17301, 27182, 264, 2260, 1015, 3418, 258, 1363, 1592, 19571, 6910, 5416, 3418, 258, 1363, 795, 20699, 476, 272, 1477, 258, 1363, 952, 795, 2525, 271, 6769, 258, 17264, 2040, 318, 284, 2040, 17338, 19571, 3418, 258, 17264, 1820, 4433, 636, 318, 3418, 258, 1292, 272, 27182, 3418, 5897, 258, 274, 269, 28098, 4970, 487, 14748, 12255, 26406, 496, 31365, 1477, 258, 1219, 1376, 28399, 258, 672, 513, 14720, 22698, 815, 4786, 17301, 267, 6358, 3488, 13644, 371, 27447, 24662, 4970, 487, 14748, 10533, 368, 12255, 16088, 262, 1040, 20889, 263, 3299, 10807, 3418, 258, 672, 1592, 272, 815, 1496, 320, 14720, 22698, 15947, 258, 672, 2979, 17338, 272, 3418, 258, 672, 1820, 17338, 272, 3418, 258, 1219, 2979, 17338, 272, 8029, 258, 672, 2132, 1592, 272, 31699, 14052, 258, 1376, 14052, 5897, 258, 1948, 276, 269, 13107, 378, 419, 353, 374, 21211, 31033, 1477, 258, 1293, 815, 476, 271, 1477, 258, 669, 272, 815, 476, 10463, 1477, 258, 669, 273, 815, 476, 11011, 1477, 258, 1219, 1820, 2419, 1513, 263, 577, 272, 267, 577, 273, 8029, 258, 672, 2518, 1293, 1477, 258, 672, 585, 1775, 538, 2039, 263, 577, 272, 267, 577, 273, 8029, 258, 1363, 1293, 6834, 476, 272, 1477, 258, 1363, 1820, 263, 577, 337, 9217, 1070, 754, 815, 834, 834, 3418, 258, 1363, 952, 1293, 4939, 476, 1015, 2652, 271, 6769, 258, 17264, 1820, 19629, 333, 14744, 258, 1820, 263, 2745, 2419, 1513, 263, 577, 272, 267, 577, 273, 17903, 5897, 258, 1948, 277, 269, 13601, 23946, 368, 7511, 14035, 358, 12255, 1477, 258, 1293, 815, 476, 272, 1477, 258, 1032, 272, 815, 476, 1001, 271, 1477, 258, 1032, 273, 815, 476, 1708, 272, 1477, 258, 1219, 1297, 8170, 291, 904, 15238, 288, 17413, 12169, 792, 272, 11971, 792, 273, 8029, 258, 672, 585, 1775, 538, 2039, 12169, 792, 272, 11971, 792, 273, 8029, 258, 1363, 952, 1775, 260, 275, 2652, 271, 543, 1775, 260, 1911, 11203, 271, 610, 1775, 260, 6110, 2652, 476, 271, 6769, 258, 17264, 1820, 9217, 10086, 23946, 368, 20069, 3607, 277, 14035, 358, 8147, 15159, 25426, 364, 23946, 368, 20298, 258, 1363, 3116, 6769, 258, 17264, 1820, 9217, 10086, 23946, 368, 20069, 18458, 14035, 358, 8147, 15159, 23946, 367, 23946, 368, 20298, 258, 1820, 28840, 8170, 291, 904, 15238, 288, 17413, 12169, 792, 272, 11971, 792, 273, 17903, 5897, 258, 1948, 278, 269, 13107, 378, 419, 353, 374, 25335, 496, 1477, 258, 1219, 3845, 3287, 272, 11971, 272, 21726, 273, 11971, 273, 8029, 258, 672, 546, 284, 9230, 343, 272, 14870, 273, 264, 1262, 273, 23444, 344, 272, 3917, 273, 264, 1262, 273, 264, 1262, 271, 269, 276, 1477, 258, 672, 1820, 3488, 4970, 353, 30536, 25426, 368, 420, 371, 507, 419, 355, 375, 20992, 16088, 12887, 10065, 273, 325, 262, 260, 323, 3418, 258, 3845, 263, 273, 267, 274, 267, 275, 267, 276, 3418, 5897, 258, 279, 269, 418, 351, 483, 418, 352, 362, 27381, 510, 12255, 5897, 24653, 258, 1948, 280, 269, 25051, 497, 31176, 491, 28793, 25426, 368, 25520, 20721, 354, 10951, 509, 1477, 258, 1104, 942, 1477, 258, 1219, 1292, 28399, 258, 672, 2199, 5503, 815, 942, 269, 553, 551, 830, 263, 5503, 7456, 665, 5306, 830, 263, 5503, 28333, 3890, 17903, 258, 672, 1820, 3488, 10951, 361, 17295, 364, 28793, 25426, 368, 25520, 20721, 354, 10951, 509, 15159, 281, 3299, 32643, 5306, 830, 3418, 258, 672, 24217, 815, 942, 28333, 3890, 265, 1911, 271, 1477, 258, 672, 1820, 3488, 420, 371, 507, 419, 355, 375, 25051, 497, 31176, 491, 28793, 25426, 368, 16088, 3299, 339, 6506, 3418, 258, 1292, 14052, 5897, 258, 1015, 269, 26406, 371, 421, 359, 364, 31878, 1477, 5814, 4351, 1477, 3698, 695, 320, 714, 328, 28399, 825, 513, 284, 12690, 26716, 4069, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 29573, 825, 536, 284, 12690, 26716, 4069, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 29573, 0, 5035, 24153, 912, 567, 1582, 269, 4820, 815, 6936, 1948, 547, 6430, 799, 851, 454, 567, 1582, 269, 4289, 815, 32582, 1948, 1344, 8708, 454, 825, 454, 567, 1219, 6449, 8181, 9191, 1345, 267, 4820, 267, 1592, 2187, 11434, 1582, 269, 4820, 815, 851, 454, 11434, 1582, 269, 4289, 815, 1592, 454, 11434, 454, 567, 1219, 1305, 8512, 4311, 267, 851, 2187, 11434, 1582, 269, 4820, 815, 851, 692, 567, 1219, 1305, 4289, 4311, 267, 1592, 2187, 11434, 1582, 269, 4289, 815, 1592, 454, 567, 1219, 1205, 8512, 4311, 2187, 11434, 2132, 1582, 269, 4820, 8528, 567, 1219, 1205, 4289, 4311, 2187, 11434, 2132, 1582, 269, 4289, 8528, 567, 1219, 1224, 4311, 267, 2612, 26073, 2187, 11434, 2612, 26073, 815, 2612, 26073, 18622, 2897, 2891, 11138, 14824, 11138, 11138, 8442, 1948, 1729, 1689, 1422, 547, 8607, 538, 2612, 2619, 454, 11434, 535, 815, 1930, 263, 11274, 267, 1412, 337, 5073, 11434, 585, 1899, 538, 535, 912, 19930, 1582, 269, 4289, 6910, 6600, 18667, 1467, 2020, 11434, 535, 25379, 4590, 11434, 2132, 692, 7531, 825, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 5897, 5814, 19523, 1477, 5814, 942, 1477, 5228, 2712, 961, 756, 269, 7528, 652, 1104, 29250, 13449, 5897, 3698, 2845, 1889, 9852, 8029, 825, 512, 272, 815, 942, 28333, 3890, 282, 1477, 825, 1820, 6025, 272, 3418, 5897, 3698, 30321, 29999, 28399, 825, 609, 29250, 13449, 3488, 10674, 2517, 338, 4869, 344, 5991, 2180, 2593, 11305, 14121, 17902, 10807, 607, 1650, 6769, 1038, 1650, 318, 6919, 815, 1496, 15947, 1038, 585, 1899, 538, 1650, 6769, 2018, 942, 4732, 2748, 263, 272, 3418, 2018, 2845, 1889, 263, 1467, 3418, 2018, 1899, 318, 6919, 815, 1899, 19709, 13892, 3488, 583, 325, 268, 279, 262, 1040, 20889, 14052, 2018, 585, 2262, 538, 1899, 318, 6919, 6769, 3546, 1650, 318, 6919, 6910, 27182, 3418, 3546, 1820, 8443, 6352, 27182, 264, 585, 2262, 538, 1650, 318, 6919, 29573, 1038, 585, 2262, 538, 1650, 318, 6919, 6769, 2018, 1820, 27182, 3418, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 30321, 29999, 14052, 0, 454, 258, 30812, 819, 531, 1315, 14938, 1581, 20603, 692, 343, 815, 476, 1556, 692, 604, 1535, 2652, 476, 1015, 10778, 825, 1820, 9497, 25321, 14888, 3582, 3201, 5602, 825, 1820, 2891, 10345, 12702, 7728, 3201, 5602, 604, 1535, 2999, 476, 1015, 10778, 825, 1820, 2891, 25321, 14888, 3582, 3201, 5602, 825, 1820, 2891, 10345, 12702, 28718, 3201, 257, 9239, 258, 337, 5190, 7531, 1721, 1775, 538, 2039, 630, 276, 264, 10778, 825, 1535, 815, 1535, 1341, 476, 272, 454, 825, 1820, 630, 343, 994, 2745, 2891, 291, 821, 9214, 13586, 1535, 1210, 2039, 257, 9239, 258, 19197, 7531, 604, 1535, 2999, 476, 273, 10778, 825, 1820, 2891, 15551, 17920, 5602, 19197, 1535, 2999, 476, 1015, 2433, 1948, 19197, 786, 14827, 519, 7954, 3625, 952, 3020, 454, 825, 1820, 2891, 300, 3633, 296, 9331, 5602, 19197, 1535, 2999, 476, 1428, 10778, 825, 1820, 2891, 299, 2752, 12283, 5602, 12828, 2433, 1948, 12828, 568, 711, 2838, 547, 946, 8640, 454, 825, 1820, 9497, 28692, 6938, 700, 2752, 12283, 5602, 2745, 2891, 291, 24535, 808, 11070, 294, 5058, 16038, 30438, 15419, 258, 339, 787, 1315, 4849, 630, 4310, 585, 16561, 6959, 267, 1419, 1031, 609, 1022, 3593, 3403, 2020, 770, 337, 815, 9497, 296, 6415, 513, 5569, 32405, 339, 787, 10778, 825, 513, 1598, 815, 703, 263, 770, 337, 264, 1948, 322, 656, 6460, 513, 5569, 547, 606, 8870, 454, 825, 1820, 2891, 5472, 1434, 267, 513, 1598, 568, 5569, 865, 519, 7503, 568, 5386, 5602, 21955, 281, 1948, 322, 2255, 2387, 1492, 5470, 454, 825, 513, 1598, 815, 910, 272, 454, 825, 1820, 2891, 2750, 4003, 267, 5470, 14291, 1871, 547, 5569, 269, 12846, 2111, 547, 8399, 1317, 649, 9575, 621, 23528, 2745, 9497, 291, 821, 609, 2119, 3625, 5602, 2745, 9497, 770, 337, 568, 834, 264, 1341, 1193, 263, 6943, 263, 770, 337, 11723, 258, 4118, 1315, 1826, 3948, 1806, 454, 20412, 566, 3080, 815, 476, 1704, 2260, 273, 454, 20412, 566, 10521, 815, 476, 1704, 270, 273, 269, 271, 454, 20412, 566, 16248, 815, 476, 1321, 270, 274, 454, 20412, 566, 19177, 284, 476, 272, 1341, 476, 273, 2608, 476, 276, 454, 20412, 566, 26668, 815, 5180, 263, 2537, 269, 276, 5780, 273, 267, 273, 9239, 2745, 630, 1598, 263, 20412, 566, 3080, 1070, 1193, 263, 6943, 263, 20412, 566, 3080, 21875, 2745, 630, 1598, 263, 20412, 566, 10521, 1070, 1193, 263, 6943, 263, 20412, 566, 10521, 21875, 2745, 630, 1598, 263, 20412, 566, 16248, 1070, 1193, 263, 6943, 263, 20412, 566, 16248, 21875, 2745, 630, 1598, 263, 20412, 566, 19177, 1070, 1193, 263, 6943, 263, 20412, 566, 19177, 21875, 2745, 630, 1598, 263, 20412, 566, 26668, 1070, 1193, 263, 6943, 263, 20412, 566, 26668, 21875, 0, 5814, 21795, 454, 5814, 21267, 28272, 607, 12301, 692, 258, 3367, 519, 11483, 309, 11711, 5627, 30495, 13870, 4578, 454, 11907, 815, 21795, 18667, 32269, 2891, 322, 1886, 7272, 3174, 27406, 15419, 258, 8073, 513, 4578, 20988, 540, 519, 4578, 454, 4206, 815, 21795, 6185, 1092, 20988, 16597, 994, 322, 553, 515, 342, 10574, 815, 17093, 314, 4206, 9131, 290, 1886, 11172, 2525, 262, 290, 553, 515, 1233, 583, 23300, 322, 553, 515, 342, 10574, 284, 322, 553, 515, 342, 10574, 31699, 28767, 263, 2421, 284, 9131, 290, 1886, 318, 17413, 262, 8079, 672, 1948, 23037, 1239, 1210, 30495, 5729, 454, 322, 553, 515, 342, 10574, 19502, 3287, 6889, 290, 1886, 318, 17413, 2580, 344, 6889, 303, 3174, 2580, 11779, 6889, 8663, 8442, 567, 1948, 18140, 513, 8641, 454, 10823, 20481, 4590, 0, 258, 734, 265, 322, 5317, 281, 583, 325, 268, 279, 734, 265, 734, 1477, 258, 12041, 284, 304, 743, 1478, 8566, 340, 836, 333, 1014, 1477, 3698, 1689, 6262, 267, 328, 8029, 825, 524, 815, 524, 31573, 14052, 825, 1003, 815, 3921, 6262, 3418, 825, 952, 1003, 13843, 476, 9032, 543, 1003, 10922, 476, 14338, 6769, 1038, 1003, 815, 476, 9032, 1341, 16733, 11133, 910, 476, 9032, 264, 1341, 1775, 264, 4939, 476, 2918, 1477, 825, 2132, 669, 337, 16325, 3418, 5897, 3698, 737, 9820, 320, 19553, 22585, 30415, 267, 328, 8029, 825, 5569, 318, 2908, 815, 15234, 1477, 825, 585, 521, 538, 5569, 6769, 1038, 5569, 318, 2908, 6834, 1689, 4433, 267, 328, 3418, 825, 1820, 30415, 318, 2908, 3418, 825, 2132, 5569, 318, 2908, 5897, 3698, 737, 9820, 320, 318, 10202, 655, 328, 30415, 8029, 825, 585, 1775, 538, 2039, 263, 1839, 8029, 1038, 1820, 28361, 333, 3299, 1775, 267, 1412, 315, 333, 20298, 1038, 1775, 6834, 476, 272, 1477, 1038, 737, 9820, 320, 19553, 22585, 30415, 267, 328, 3418, 5897, 3698, 1292, 28399, 825, 1820, 3488, 13644, 371, 20881, 487, 418, 489, 358, 421, 506, 478, 28884, 7511, 418, 497, 491, 30853, 16088, 20298, 825, 1820, 3488, 272, 16088, 16583, 363, 418, 496, 496, 20693, 510, 21382, 484, 20298, 825, 1820, 3488, 273, 16088, 16583, 363, 418, 496, 496, 25335, 352, 21382, 484, 20298, 825, 3903, 815, 3403, 14052, 825, 952, 3903, 2652, 1412, 272, 262, 6769, 1038, 5569, 815 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2742, 1640, 573, 1228, 815, 476, 271, 1477, 1721, 524, 538, 2039, 263, 272, 267, 476, 279, 8029, 825, 606, 334, 815, 703, 9272, 3488, 14707, 924, 522, 606, 334, 632, 562, 2444, 2939, 334, 281, 1412, 17903, 825, 952, 476, 1708, 271, 268, 8457, 13843, 476, 1240, 6769, 1038, 12103, 1640, 573, 1228, 6834, 476, 272, 1477, 2745, 6600, 262, 346, 2742, 1640, 573, 1228, 348, 533, 612, 334, 553, 795, 5451, 693, 532, 328, 1090, 513, 12103, 1640, 573, 1228, 20298, 0, 5228, 2712, 961, 756, 269, 7528, 652, 1104, 29250, 13449, 454, 5228, 536, 338, 275, 1104, 27202, 306, 19281, 454, 5814, 21795, 607, 19073, 692, 20204, 815, 476, 1708, 271, 454, 14766, 815, 834, 10059, 2517, 4178, 12500, 21488, 4252, 3146, 12401, 2593, 270, 548, 8046, 21610, 10621, 3709, 20731, 704, 14682, 877, 11258, 2668, 8971, 12169, 792, 994, 6255, 6447, 815, 29250, 13449, 263, 14766, 994, 338, 19281, 815, 27202, 306, 19281, 263, 6255, 6447, 267, 1412, 6255, 6447, 4877, 32242, 5073, 3650, 619, 815, 1496, 628, 10947, 17806, 3890, 585, 555, 538, 17339, 26098, 5472, 3488, 13700, 3299, 3970, 284, 273, 25011, 271, 4940, 22772, 5472, 3488, 628, 10807, 2639, 3650, 619, 815, 2212, 619, 314, 272, 281, 316, 3097, 4900, 815, 17339, 26098, 5472, 3488, 13700, 10807, 314, 272, 281, 316, 3097, 16651, 14067, 1846, 815, 20886, 11575, 10947, 17806, 3890, 585, 512, 323, 538, 9343, 5157, 4940, 22772, 5472, 3488, 11575, 10807, 316, 585, 1775, 538, 2039, 12759, 263, 4900, 4297, 2639, 560, 1846, 815, 19073, 6185, 1092, 20988, 263, 16651, 14067, 1846, 267, 9587, 815, 2212, 619, 994, 560, 1846, 815, 28135, 6155, 1886, 3534, 263, 6011, 8782, 718, 5073, 12849, 8217, 815, 28135, 9131, 32156, 262, 6540, 18411, 272, 269, 8520, 998, 1169, 2012, 538, 4408, 8217, 3097, 273, 269, 585, 1142, 2012, 267, 5635, 2063, 2012, 547, 3025, 781, 1101, 2012, 454, 453, 320, 269, 952, 2063, 815, 1101, 267, 1039, 6345, 547, 2012, 17601, 267, 1287, 8520, 555, 745, 454, 453, 567, 9236, 1007, 2063, 547, 3025, 781, 1101, 2012, 454, 453, 321, 269, 10956, 2394, 1100, 6474, 454, 18257, 692, 14075, 652, 17601, 815, 834, 4840, 14075, 652, 18045, 815, 476, 271, 692, 1721, 2012, 8548, 664, 538, 4408, 8217, 281, 1948, 31467, 555, 745, 1142, 2012, 2899, 454, 453, 4067, 17601, 815, 834, 4840, 453, 21459, 12173, 8548, 664, 815, 2012, 8548, 664, 21858, 4590, 453, 14140, 12173, 8548, 664, 815, 2407, 12173, 8548, 664, 314, 271, 2639, 453, 18431, 12173, 8548, 664, 815, 2407, 12173, 8548, 664, 314, 272, 2639, 453, 4067, 17601, 815, 2012, 17601, 1341, 1101, 12173, 8548, 664, 1341, 834, 834, 1341, 2063, 12173, 8548, 664, 454, 453, 2254, 6958, 31944, 815, 6936, 454, 453, 30221, 18045, 815, 476, 272, 454, 453, 6112, 630, 2254, 6958, 31944, 2567, 1948, 31467, 2394, 1100, 6474, 568, 1336, 585, 2012, 454, 453, 453, 12248, 815, 476, 271, 3097, 453, 22610, 2012, 318, 7853, 538, 4408, 8217, 281, 1948, 4818, 732, 4408, 547, 1294, 952, 972, 781, 513, 6474, 454, 4848, 453, 21459, 12173, 318, 7853, 815, 2012, 318, 7853, 21858, 4590, 4848, 453, 14140, 12173, 318, 7853, 815, 2407, 12173, 318, 7853, 314, 271, 2639, 4848, 453, 18431, 12173, 318, 7853, 815, 2407, 12173, 318, 7853, 314, 272, 2639, 4848, 14851, 630, 18431, 12173, 8548, 664, 2652, 1101, 12173, 318, 7853, 2187, 15235, 453, 4067, 17601, 815, 2012, 17601, 1341, 834, 834, 1341, 2063, 12173, 318, 7853, 454, 15235, 453, 14140, 12173, 8548, 664, 815, 1101, 12173, 318, 7853, 454, 15235, 453, 18431, 12173, 8548, 664, 815, 2063, 12173, 318, 7853, 454, 15235, 453, 30221, 18045, 6834, 476, 272, 454, 15235, 453, 19874, 454, 4848, 453, 12248, 6834, 476, 272, 454, 453, 14851, 630, 30221, 18045, 3436, 13074, 18045, 2187, 4848, 453, 14075, 652, 17601, 815, 2012, 17601, 454, 4848, 453, 14075, 652, 18045, 815, 5721, 18045, 454, 453, 14851, 630, 12248, 2652, 7003, 3799, 1868, 8217, 264, 2567, 1948, 1729, 2736, 856, 540, 1247, 8520, 454, 4848, 453, 2254, 6958, 31944, 815, 8771, 454, 14851, 630, 30221, 18045, 11203, 476, 272, 2567, 1948, 9690, 21767, 16493, 513, 1899, 585, 5721, 609, 476, 273, 266, 5716, 454, 453, 13537, 28442, 17601, 264, 3097, 4848, 454, 2745, 2891, 16524, 652, 5721, 568, 1422, 257, 260, 338, 315, 257, 609, 4939, 338, 5716, 257, 4939, 630, 14075, 652, 17601, 267, 13074, 18045, 4297, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 268, 265, 268, 8193, 281, 583, 325, 268, 279, 20609, 8894, 258, 513, 25507, 9272, 3488, 13644, 371, 27447, 24662, 29125, 258, 536, 25507, 9272, 3488, 13644, 371, 27447, 24662, 29125, 258, 524, 25507, 9272, 3488, 13644, 371, 27447, 24662, 29125, 258, 952, 630, 320, 17070, 285, 322, 264, 543, 630, 320, 25239, 285, 321, 264, 543, 630, 321, 25239, 285, 320, 2187, 258, 672, 952, 630, 322, 265, 322, 285, 321, 265, 321, 266, 320, 265, 320, 264, 610, 630, 320, 265, 320, 285, 321, 265, 321, 25239, 265, 322, 264, 610, 630, 321, 265, 321, 285, 320, 265, 320, 25239, 265, 322, 2187, 258, 1363, 1820, 3488, 421, 496, 507, 25335, 496, 4970, 487, 25335, 496, 25051, 351, 5073, 258, 672, 8640, 630, 320, 265, 320, 17070, 265, 321, 2525, 322, 265, 322, 264, 610, 630, 320, 265, 320, 25239, 265, 322, 2525, 321, 265, 321, 264, 610, 630, 321, 265, 321, 25239, 265, 322, 2525, 320, 265, 320, 264, 10778, 258, 1363, 1820, 3488, 25203, 368, 25335, 496, 4970, 487, 25335, 496, 25051, 351, 5073, 258, 672, 8640, 630, 322, 265, 322, 283, 321, 265, 321, 266, 320, 265, 320, 264, 610, 630, 320, 265, 320, 283, 321, 265, 321, 25239, 265, 322, 264, 610, 630, 321, 265, 321, 283, 320, 265, 320, 25239, 265, 322, 2187, 258, 1363, 1820, 3488, 421, 498, 494, 25335, 496, 4970, 487, 25335, 496, 25051, 351, 5073, 258, 672, 3116, 912, 258, 1363, 1820, 3488, 21251, 25335, 482, 10254, 503, 4970, 487, 25335, 496, 25051, 351, 5073, 258, 3116, 912, 258, 672, 1820, 3488, 21251, 15159, 4970, 487, 25335, 496, 25051, 351, 17210, 692, 320, 25507, 9272, 3488, 13644, 371, 27447, 24662, 20001, 373, 421, 499, 379, 29125, 321, 25507, 9272, 3488, 13644, 371, 27447, 24662, 20001, 373, 421, 499, 379, 29125, 322, 25507, 9272, 3488, 13644, 371, 27447, 24662, 20001, 373, 421, 499, 379, 29125, 331, 17342, 2639, 331, 6910, 5416, 994, 331, 6910, 6357, 994, 331, 6910, 6262, 994, 331, 31699, 4590, 604, 630, 331, 314, 271, 27994, 331, 314, 272, 316, 285, 331, 314, 273, 316, 2187, 825, 952, 561, 314, 271, 316, 1262, 273, 266, 331, 314, 272, 316, 1262, 273, 285, 331, 314, 273, 316, 1262, 273, 912, 1038, 1820, 3488, 421, 498, 494, 25335, 496, 4970, 487, 25335, 496, 25051, 351, 5073, 825, 952, 561, 314, 271, 316, 1262, 273, 266, 331, 314, 272, 316, 1262, 273, 2525, 331, 314, 273, 316, 1262, 273, 912, 1038, 1820, 3488, 25203, 368, 25335, 496, 4970, 487, 25335, 496, 25051, 351, 5073, 825, 952, 561, 314, 271, 316, 1262, 273, 266, 331, 314, 272, 316, 1262, 273, 283, 331, 314, 273, 316, 1262, 273, 912, 1038, 1820, 3488, 421, 496, 507, 25335, 496, 4970, 487, 25335, 496, 25051, 351, 5073, 12828, 912, 825, 1820, 3488, 21251, 15159, 4970, 487, 25335, 496, 25051, 351, 5073, 0, 320, 284, 1015, 454, 321, 284, 1015, 269, 4097, 454, 329, 284, 272, 454, 322, 284, 1015, 266, 273, 329, 454, 323, 284, 273, 266, 274, 329, 454, 2745, 2891, 320, 2580, 320, 994, 2745, 2891, 321, 2580, 321, 994, 2745, 2891, 322, 2580, 322, 266, 323, 994, 1598, 6889, 31435, 4840, 1598, 272, 8782, 31435, 7055, 258, 4994, 532, 14253, 532, 2596, 2409, 454, 2745, 19304, 314, 271, 7481, 2745, 19304, 314, 272, 7481, 2745, 19304, 314, 272, 281, 7481, 2745, 19304, 314, 272, 281, 276, 20285, 2745, 19304, 11468, 281, 7481, 258, 1193, 314, 271, 24557, 272, 454, 258, 2596, 1558, 16104, 454, 258, 5580, 454, 2745, 19304, 269, 21639, 31156, 1598, 274, 6889, 31435, 1158, 4840, 2745, 19304, 274, 21858, 3488, 324, 29125, 0, 333, 4548, 815, 30585, 273, 267, 476, 271, 2073, 268, 31079, 2073, 273, 2073, 274, 6540, 258, 1820, 263, 2381, 25225, 11723, 2381, 333, 815, 15358, 314, 271, 2639, 1721, 1003, 538, 15358, 912, 825, 952, 1295, 333, 3436, 1003, 912, 1038, 1295, 333, 815, 1003, 692, 2745, 263, 2381, 333, 994, 0, 5228, 14854, 1104, 2608, 692, 10233, 2891, 1042, 5602, 27729, 2891, 339, 31103, 5602, 1721, 1775, 538, 2039, 263, 272, 2187, 825, 4464, 263, 1911, 994, 825, 2451, 263, 3445, 994, 825, 4464, 263, 1911, 994, 825, 2451, 263, 3445, 994, 825, 4464, 263, 1911, 994, 825, 2451, 263, 3445, 994, 825, 4464, 263, 1911, 994, 825, 2451, 263, 3445, 994, 10852, 31467, 4590, 0, 5228, 14854, 1104, 265, 7531, 27729, 2891, 339, 31103, 15419, 10233, 2891, 19990, 5602, 1721, 1775, 538, 2039, 263, 274, 2187, 825, 4464, 263, 2004, 994, 825, 2451, 263, 11740, 270, 274, 994, 10233, 2891, 1042, 5602, 1721, 1775, 538, 2039, 263, 275, 2187, 825, 4464, 263, 2004, 994, 825, 2451, 263, 11740, 270, 275, 994, 10233, 2891, 19990, 5602, 1721, 1775, 538, 2039, 263, 276, 2187, 825, 4464, 263, 2004, 994, 825, 2451, 263, 11740, 270, 276, 994, 10233, 2891, 1042, 5602, 1721, 1775, 538, 2039, 263, 277, 2187, 825, 4464, 263, 2004, 994, 825, 2451, 263, 11740, 270, 277, 994, 258, 900, 512, 383, 361, 332, 555, 17554, 354, 344, 844, 344, 561, 340, 17554, 511, 339, 678, 12782, 497, 328, 562, 327, 386, 364, 978, 32748, 1979, 17554, 379, 339, 1019, 12782, 483, 333, 512, 17554, 352, 2433, 11723, 10852, 31467, 4590, 0, 5228, 14854, 1104, 2608, 692, 5443, 340, 815, 22373, 1042, 2580, 834, 19990, 2580, 834, 321, 3497, 2580, 834, 344, 3641, 2580, 834, 326, 9445, 257, 6540, 1721, 1775, 538, 2039, 263, 276, 17107, 825, 2681, 263, 5443, 340, 5157, 3910, 10624, 5157, 20285, 825, 2253, 6958, 650, 4590, 825, 585, 9041, 538, 2039, 263, 275, 2187, 1038, 4464, 263, 2004, 994, 1038, 2451, 263, 3445, 994, 825, 1439, 6958, 650, 4590, 825, 4050, 1575, 454, 825, 4464, 263, 2004, 994, 825, 20805, 1144, 692, 10852, 31467, 4590, 0, 258, 1998, 2803, 538, 545, 807, 529, 454, 6759, 339, 24982, 815, 476, 271, 454, 10585, 815, 476, 271, 454, 321, 558, 815, 476, 271, 454, 332, 2946, 29953, 6759, 339, 24982, 815, 476, 271, 692, 258, 322, 6759, 323, 15282, 9030, 454, 1721, 533, 538, 2039, 263, 272, 267, 476, 277, 2187, 825, 7329, 1228, 815, 703, 9272, 2891, 573, 1228, 281, 27328, 825, 1566, 815, 703, 9272, 2891, 21745, 924, 522, 562, 14243, 1067, 334, 1201, 5166, 324, 513, 647, 320, 1566, 14269, 14244, 865, 3691, 522, 2083, 1889, 24350, 23526, 834, 476, 272, 284, 10585, 270, 273, 284, 321, 558, 270, 274, 284, 6759, 339, 24982, 281, 27363, 825, 952, 1566, 2652, 476, 274, 912, 1038, 544, 2946, 29953, 6759, 339, 24982, 6834, 7329, 1228, 454, 1038, 3331, 367, 339, 24982, 6834, 476, 272, 454, 825, 8640, 1566, 2652, 476, 273, 912, 1038, 17177, 6834, 476, 272, 454, 825, 8640, 1566, 2652, 476, 272, 912, 1038, 2834, 6834, 476, 272, 454, 825, 3116, 912, 1038, 1820, 2891, 301, 383, 504, 300, 2207, 302, 5442, 309, 383, 479, 299, 2839, 302, 5602, 1038, 2736, 692, 258, 1998, 2803, 1710, 9820, 454, 332, 2946, 29953, 6759, 339, 24982, 815, 544, 2946, 29953, 6759, 339, 24982, 270, 6759, 339, 24982, 454, 1602, 1417, 720, 332, 815, 17177, 265, 1911, 270, 276, 692, 258, 21542, 6403, 6767, 454, 2745, 2891, 2026, 533, 612, 334, 553, 6446, 4431, 10984, 1412, 383, 497, 2316, 19616, 262, 1661, 900, 544, 2946, 29953, 15079, 606, 657, 1701, 269, 8971, 9852, 2946, 29953, 6759, 339, 24982, 4917, 2745, 2891, 24001, 533, 612, 334, 553, 513, 10420, 600, 522, 2083, 1889, 1412, 3918, 294, 8085, 2752, 262, 256, 2668, 8971, 263, 10585, 4917, 2745, 2891, 346, 15545, 273, 325, 348, 260, 632, 547, 323, 553, 607, 533, 612, 334, 553, 4431, 10984, 1412, 289, 6865, 262, 256, 2668, 8971, 263, 1602, 1417, 720, 332, 4297, 0, 5035, 1160, 323, 19513, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1784, 878, 7776, 815, 1598, 267, 13798, 15282, 815, 842, 267, 840, 1723, 284, 15615, 267, 3067, 573, 1228, 284, 703, 2187, 1038, 1582, 6155 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8390, 269, 1284, 1616, 547, 1852, 10068, 865, 649, 666, 30396, 946, 4837, 552, 1564, 607, 7286, 2200, 4799, 263, 30153, 3312, 676, 6875, 344, 25431, 590, 6737, 543, 20673, 340, 6062, 549, 594, 3258, 20076, 267, 3163, 1299, 5113, 5240, 4972, 264, 0, 15507, 8469, 3821, 568, 513, 2027, 3406, 2599, 585, 2564, 1344, 269, 634, 3406, 2599, 729, 2919, 676, 543, 585, 2564, 4648, 269, 3689, 9250, 538, 476, 1220, 277, 267, 519, 3406, 2599, 6035, 2185, 6237, 8747, 585, 4279, 6628, 267, 519, 7330, 267, 5333, 543, 8050, 269, 634, 3406, 2599, 729, 6806, 538, 476, 1001, 277, 269, 634, 3406, 2599, 19707, 32253, 267, 1072, 5829, 2229, 7270, 543, 22265, 4791, 7270, 269, 634, 5053, 543, 3943, 8747, 941, 519, 1101, 547, 2673, 267, 543, 519, 3703, 4528, 814, 1044, 1210, 5616, 781, 2688, 3406, 585, 513, 1247, 269, 634, 3406, 2599, 568, 513, 1587, 540, 595, 6573, 300, 4215, 267, 513, 5177, 1072, 1344, 8502, 563, 347, 23458, 1475, 12626, 267, 3943, 267, 5053, 2008, 347, 17442, 684, 3481, 1475, 310, 7364, 281, 9732, 763, 2296, 4528, 729, 519, 9250, 538, 4873, 476, 1220, 277, 267, 4553, 676, 519, 2475, 4528, 538, 4864, 476, 1220, 277, 543, 519, 3943, 4528, 538, 5988, 476, 1220, 278, 269, 634, 5053, 4528, 4682, 2661, 538, 519, 4832, 540, 476, 1220, 278, 543, 513, 882, 320, 4875, 7018, 538, 5130, 476, 1220, 279, 269, 26872, 2008, 347, 14946, 518, 1475, 290, 6573, 8469, 3821, 1496, 25075, 3187, 540, 3782, 1344, 543, 2069, 543, 851, 540, 2136, 6355, 9012, 316, 2008, 347, 15575, 787, 540, 18882, 1475, 20084, 2008, 347, 1220, 277, 910, 476, 1001, 277, 1475, 290, 6573, 8469, 3821, 1496, 25075, 3187, 540, 3782, 1344, 543, 2069, 543, 851, 540, 2136, 6355, 9012, 316, 2008, 30106, 8084, 1475, 5353, 5319, 585, 2657, 1299, 6481, 6176, 2008, 18871, 3863, 2401, 1315, 8773, 1759, 1530, 5319, 1210, 513, 3043, 1592, 540, 5697, 4609, 454, 290, 3863, 2401, 2861, 267, 5690, 545, 1530, 5319, 454, 347, 302, 19520, 19405, 1475, 25542, 25201, 1315, 5680, 29241, 2008, 347, 310, 7364, 281, 9732, 15507, 8469, 3821, 630, 15507, 4364, 3821, 16691, 16896, 264, 568, 513, 11285, 2564, 3406, 2599, 585, 2564, 4648, 269, 1703, 616, 4867, 476, 275, 22297, 8747, 912, 15507, 4364, 3821, 16691, 16896, 267, 799, 9072, 5177, 717, 11679, 543, 2564, 4648, 267, 543, 1519, 4791, 267, 3075, 543, 1382, 1239, 547, 519, 5767, 715, 21201, 267, 623, 6311, 610, 4972, 540, 2657, 4808, 269, 26872, 454, 21511, 3703, 4528, 540, 9612, 8469, 3821, 2221, 3096, 513, 5616, 8779, 2541, 9612, 1496, 330, 323, 1001, 276, 14073, 14872, 15507, 8469, 3821, 2593, 630, 15507, 4364, 3821, 2593, 264, 609, 6810, 585, 8370, 9354, 2127, 630, 15258, 26210, 267, 3987, 270, 754, 18355, 267, 22104, 1108, 270, 517, 19223, 267, 11763, 267, 2790, 14672, 969, 748, 1062, 267, 30273, 267, 12963, 267, 2234, 5735, 543, 7929, 264, 607, 1134, 607, 782, 540, 4915, 630, 20880, 689, 782, 540, 519, 2062, 4707, 32258, 543, 811, 264, 543, 2259, 2359, 269, 22291, 1239, 689, 32253, 630, 8469, 1467, 14327, 264, 607, 1134, 607, 3875, 824, 1072, 5829, 2229, 7270, 543, 7366, 540, 22265, 4791, 4609, 267, 9916, 543, 9516, 676, 2564, 12665, 269, 9612, 4364, 3821, 8807, 337, 630, 15507, 8469, 3821, 8807, 337, 1070, 513, 4528, 585, 519, 3943, 2344, 609, 513, 1445, 593, 2564, 7270, 538, 3943, 1496, 763, 18008, 4528, 3884, 1405, 2139, 2221, 267, 737, 323, 1001, 276, 4940, 9612, 4364, 3821, 269, 525, 630, 15507, 8469, 3821, 269, 525, 1070, 513, 5053, 4528, 269, 30385, 316, 9612, 8469, 3821, 30385, 316, 814, 1044, 1305, 909, 1210, 3406, 2599, 2029, 689, 20593, 320, 269, 26872, 454, 21270, 2784, 2917, 267, 5845, 630, 13971, 476, 2420, 267, 476, 1220, 277, 2567, 9732, 15507, 2405, 3821, 568, 513, 3406, 2599, 602, 814, 1044, 4481, 2966, 585, 717, 11679, 630, 14197, 31943, 619, 610, 24930, 264, 547, 946, 269, 17240, 572, 267, 513, 5177, 12353, 3377, 12139, 585, 7189, 5342, 1382, 602, 8604, 547, 2303, 602, 7189, 941, 29043, 609, 519, 2164, 540, 519, 2564, 19707, 602, 789, 941, 4881, 593, 2757, 3406, 9817, 563, 3519, 8019, 9612, 2405, 3821, 814, 1044, 3812, 538, 14966, 609, 7189, 547, 1683, 873, 609, 513, 1360, 1808, 543, 3358, 3406, 1995, 269, 26872, 454, 8722, 2137, 1299, 9577, 1275, 454, 27066, 1299, 2417, 23549, 454, 347, 310, 7364, 630, 2894, 2567, 4179, 2517, 19986, 269, 1105, 633, 3820, 270, 19986, 270, 1001, 2568, 278, 23714, 15946, 2764, 270, 10059, 2517, 523, 25769, 3820, 28293, 13478, 2514, 4364, 3821, 2008, 347, 310, 7364, 630, 8448, 338, 2567, 562, 18502, 8198, 21270, 2784, 2917, 267, 5845, 630, 1220, 277, 2567, 9612, 2405, 3821, 910, 634, 717, 11679, 9612, 5422, 269, 6732, 2139, 693, 9612, 5422, 13772, 269, 15745, 281, 5291, 2517, 572, 2117, 26907, 710, 31296, 2593, 270, 14835, 270, 13078, 8064, 274, 273, 13478, 2514, 5336, 539, 3821, 268, 763, 8566, 11679, 4149, 2514, 27761, 710, 2008, 347, 9915, 305, 19860, 281, 9612, 8469, 3821, 15745, 281, 5291, 2517, 338, 2745, 23357, 845, 725, 342, 1170, 839, 577, 10762, 26716, 11320, 1170, 839, 577, 10762, 997, 515, 1606, 31866, 11320, 1170, 839, 577, 10762, 997, 515, 1606, 1276, 5733, 24739, 523, 4882, 1276, 5733, 24739, 523, 15515, 7371, 773, 548, 270, 14142, 4364, 3821, 270, 2008, 347, 11266, 6124, 1873, 790, 630, 14257, 476, 1556, 267, 476, 1220, 278, 2567, 9612, 8469, 3821, 2593, 5510, 619, 6481, 28968, 5131, 11916, 9612, 9669, 15745, 281, 5291, 2517, 18080, 269, 889, 332, 2593, 27651, 21703, 286, 338, 284, 26237, 280, 261, 14403, 284, 14338, 6924, 278, 2008, 347, 4692, 1356, 8416, 630, 19751, 476, 4905, 267, 476, 1220, 278, 2567, 9612, 8469, 3821, 2593, 11392, 8366, 15745, 281, 5291, 2517, 4178, 269, 4754, 1356, 6339, 1740, 2593, 270, 14895, 270, 14142, 4364, 545, 659, 558, 3146, 576, 1161, 268, 1177, 731, 347, 0, 16829, 593, 476, 1704, 628, 2904, 476, 1001, 280, 676, 9012, 9534, 454, 2171, 2461, 2731, 9599, 547, 2671, 602, 972, 779, 1631, 1256, 3152, 4126, 585, 8109, 844, 565, 3149, 593, 519, 8241, 22163, 267, 1310, 476, 2412, 811, 8109, 844, 565, 3149, 941, 32543, 22004, 547, 645, 797, 699, 324, 2817, 5244, 538, 2038, 2904, 2336, 1103, 519, 2038, 476, 5002, 271, 338, 519, 2249, 729, 10731, 2059, 519, 7532, 5032, 267, 855, 2068, 543, 535, 1968, 2831, 530, 21317, 873, 856, 593, 519, 22163, 3368, 8584, 10601, 3516, 563, 7212, 789, 1869, 2661, 538, 519, 3552, 538, 31005, 807, 267, 519, 2249, 814, 711, 1044, 2938, 9800, 593, 519, 22163, 538, 519, 3552, 585, 811, 982, 476, 2004, 1296, 269, 901, 568, 519, 2034, 32543, 3174, 540, 519, 2249, 547, 645, 797, 699, 324, 267, 1310, 476, 736, 8109, 844, 565, 3149, 941, 32543, 22004, 547, 519, 6288, 2063, 1032, 269, 634, 1007, 844, 565, 3149, 2097, 689, 1079, 9960, 7254, 9822, 2456, 538, 31005, 807, 543, 835, 538, 29517, 563, 763, 12557, 540, 519, 5305, 14626, 1938, 609, 4389, 5993, 16541, 2534, 267, 4389, 1981, 689, 26900, 24217, 543, 538, 942, 585, 844, 565, 3149, 547, 5432, 1047, 2933, 609, 519, 1007, 27788, 1354, 519, 4873, 9960, 4005, 563, 307, 541, 784, 320, 568, 513, 10583, 7649, 593, 713, 1788, 269, 3776, 5234, 689, 519, 8241, 3204, 3588, 540, 13812, 2657, 5340, 1072, 11974, 593, 519, 476, 2412, 844, 565, 3149, 1354, 789, 24964, 547, 645, 797, 699, 324, 543, 1586, 1354, 789, 941, 5950, 883, 519, 3084, 6288, 269, 2353, 540, 519, 2831, 941, 2635, 543, 538, 1434, 2783, 563, 763, 8109, 844, 3326, 32543, 3174, 1788, 568, 513, 5698, 1063, 20088, 5245, 267, 7711, 763, 288, 26894, 13233, 17206, 267, 654, 516, 1188, 7345, 16971, 7991, 7027, 267, 25166, 843, 532, 5245, 267, 13431, 293, 5025, 20624, 543, 20579, 784, 320, 267, 609, 1489, 689, 8061, 2812, 287, 290, 2784, 548, 267, 570, 992, 684, 3534, 13812, 5842, 551, 4231, 543, 7711, 28319, 559, 6635, 330, 7320, 7254, 9822, 2456, 269, 0, 290, 987, 1143, 320, 568, 513, 3296, 540, 519, 533, 15680, 614, 563, 263, 272, 264, 634, 533, 15680, 614, 538, 519, 5259, 5604, 568, 5258, 883, 8938, 6810, 267, 1572, 18216, 1143, 1092, 269, 3962, 18216, 1143, 320, 568, 1016, 323, 22866, 883, 1614, 588, 1162, 267, 543, 834, 294, 3271, 807, 257, 568, 1767, 693, 519, 1439, 540, 1142, 588, 12118, 1152, 269, 634, 2601, 585, 519, 2012, 8655, 568, 602, 267, 1247, 519, 1781, 597, 1796, 1079, 543, 1079, 676, 7140, 547, 973, 924, 519, 533, 15680, 916, 267, 519, 1964, 1694, 1524, 563, 263, 273, 264, 589, 2110, 1728, 19282, 799, 4386, 693, 11996, 538, 519, 13646, 540, 519, 5259, 5783, 269, 898, 5161, 540, 835, 588, 24521, 610, 7708, 1706, 542, 630, 1842, 1905, 578, 328, 1070, 543, 568, 4553, 676, 834, 294, 3271, 807, 1701, 634, 2012, 568, 1767, 547, 5815, 602, 1247, 621, 568, 23475, 519, 1781, 597, 1694, 1524, 262, 585, 1964, 269, 0, 4415, 519, 948, 540, 519, 2999, 335, 281, 11415, 3146, 2897, 285, 1900, 267, 12673, 666, 581, 8719, 269, 2201, 519, 4493, 540, 513, 2473, 20784, 307, 4082, 799, 568, 8612, 538, 519, 968, 332, 2255, 2108, 4781, 267, 519, 3617, 3077, 568, 8719, 676, 513, 1007, 5569, 799, 568, 20024, 538, 519, 968, 516, 2897, 2108, 4781, 607, 2473, 26073, 4082, 269, 634, 3355, 3561, 568, 8612, 693, 519, 3403, 2823, 12462, 25899, 2108, 1040, 634, 1267, 568, 2854, 593, 519, 522, 1575, 583, 2823, 12462, 14310, 2108, 1916, 1103, 519, 1739, 1383, 782, 834, 22117, 532, 288, 2758, 257, 13366, 609, 519, 1871, 968, 15812, 8621, 650, 2108, 4927, 581, 8719, 676, 968, 295, 28207, 16110, 2108, 563, 283, 286, 343, 6447, 4528, 6889, 272, 269, 271, 257, 17683, 6889, 7473, 293, 268, 279, 22172, 285, 2999, 335, 281, 1372, 743, 732, 9912, 1535, 6447, 985, 281, 335, 6889, 10674, 2517, 4178, 9884, 274, 3820, 270, 985, 24474, 2889, 322, 257, 1535, 6447, 985, 281, 322, 6889, 10674, 2517, 4178, 9884, 274, 3820, 270, 985, 24474, 2889, 322, 9912, 257, 4528, 6889, 272, 269, 271, 22969, 2999, 335, 281, 6358, 2823, 6889, 25899, 22969, 2999, 335, 281, 323, 17805, 27430, 6889, 23742, 332, 8624, 3005, 11859, 6447, 257, 270, 285, 21742, 335, 281, 6358, 285, 2999, 335, 281, 16059, 2823, 6889, 14310, 257, 270, 285, 2999, 335, 281, 11415, 3146, 2897, 6474, 6889, 270, 23742, 332, 8624, 3005, 22077, 559, 332, 14727, 770, 13624, 1737, 532, 288, 2758, 314, 3667, 3890, 8782, 15812, 8621, 650, 11172, 257, 5372, 6889, 270, 23742, 332, 8624, 3005, 22077, 559, 332, 14727, 770, 13624, 1737, 532, 288, 2758, 314, 3667, 3890, 8782, 295, 28207, 16110, 11172, 257, 270, 285, 21742, 335, 281, 1372, 743, 732, 9912, 11417, 5475, 519, 11056, 540, 713, 6163, 18694, 267, 782, 968, 22117, 532, 288, 2758, 2108, 2609, 609, 519, 1871, 968, 15812, 8621, 650, 2108, 616, 8719, 676, 968, 295, 28207, 16110, 2108, 538, 519, 3977, 269, 1809, 1510, 1665, 1575, 16776, 2094, 2473, 26073, 1152, 9607, 519, 1871, 540, 519, 1808, 3693, 269, 634, 1267, 1131, 581, 607, 5205, 630, 1410, 1356, 696, 2187, 314, 1862, 316, 2999, 290, 770, 285, 26858, 16110, 2999, 22117, 532, 288, 2758, 285, 295, 28207, 16110, 9572, 22117, 532, 288, 2758, 285, 21742, 290, 770, 285, 30385, 316, 0, 9209, 1315, 5071, 5303, 454, 2750, 600, 4604, 281, 661, 1372, 343, 4897, 23722, 454, 9209, 568, 6026, 593, 513, 1286, 537, 1088, 538, 5729, 476, 278, 270, 279, 267, 1287, 606, 3681, 1641, 689, 5729, 476, 280, 563, 4263, 6206, 8609, 476, 274, 267, 649, 786, 581, 1739, 519, 3084, 6437, 799, 666, 581, 1336, 1934, 912, 4263, 6206, 8609, 476, 275, 267, 649, 786, 581, 1739, 519, 23722, 20487, 540, 938, 6074, 981, 4604, 563, 2750, 600, 4604, 281, 661, 1372, 343, 4897, 454, 4263, 6206, 8609, 476, 276, 267, 649, 786, 581, 1739, 519, 6789, 12458, 7400, 20487, 540, 938, 6074, 981, 4604, 563, 2750, 600, 4604, 281, 661, 706, 336, 553, 454, 8923, 4945, 593, 519, 27589, 547, 1294, 938, 14565, 540, 960, 563, 16775, 274, 267, 23794, 275, 1299, 23794, 276, 912, 16775, 275, 1299, 23794, 276, 1152, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13875, 7901, 543, 28600, 543, 3643, 938, 3896, 585, 10311, 281, 700, 558, 7534, 30949, 2593, 13478, 289, 15946, 274, 13045, 2690, 811, 1344, 593, 875, 713, 7939, 786, 1860, 4396, 3653, 2359, 267, 3643, 2836, 3725, 12860, 779, 5029, 923, 1753, 2457, 693, 2836, 3725, 12860, 28022, 10993, 14672, 822, 5924, 1146, 923, 269, 0, 5475, 513, 4832, 540, 12202, 267, 1082, 540, 721, 616, 4712, 585, 519, 1065, 4471, 557, 602, 5162, 6770, 269, 1717, 267, 1354, 596, 2212, 3330, 543, 22753, 909, 676, 519, 3595, 267, 621, 568, 1271, 547, 5265, 5162, 1125, 707, 4677, 538, 519, 2887, 269, 589, 1804, 851, 540, 5162, 1944, 707, 4677, 568, 8499, 15273, 4221, 621, 547, 5965, 585, 519, 5614, 3395, 4005, 269, 5901, 2542, 547, 1451, 513, 1906, 540, 519, 1898, 4128, 547, 22890, 707, 4677, 1142, 2887, 563, 5319, 5341, 519, 14606, 454, 7628, 519, 4832, 3275, 267, 3395, 2371, 666, 632, 10968, 1082, 5567, 538, 519, 3037, 269, 25109, 4221, 519, 3037, 1354, 519, 1101, 6777, 6420, 2488, 707, 4677, 15135, 609, 3819, 2339, 602, 786, 2736, 1524, 936, 519, 5162, 3275, 267, 16089, 9436, 543, 6886, 269, 898, 786, 849, 2149, 519, 3618, 19095, 689, 2182, 15470, 267, 543, 891, 17494, 616, 3407, 2200, 538, 707, 4677, 602, 16138, 880, 519, 3037, 27354, 563, 288, 4494, 540, 22890, 786, 25339, 519, 18047, 689, 3395, 538, 519, 5614, 269, 901, 568, 1317, 519, 23197, 5452, 786, 581, 1454, 1447, 2693, 547, 3914, 519, 3037, 267, 1247, 519, 18047, 538, 519, 3037, 786, 711, 581, 2111, 547, 1205, 7850, 7943, 269, 25109, 4221, 707, 4677, 568, 835, 540, 519, 1655, 2081, 547, 2061, 18047, 689, 3395, 1765, 20204, 15778, 256, 1411, 666, 4688, 513, 2603, 540, 942, 538, 519, 5614, 952, 596, 5265, 22890, 538, 519, 2887, 563, 7093, 1203, 14606, 661, 12509, 454, 3891, 8283, 22856, 543, 627, 6235, 12798, 666, 3533, 2144, 1712, 519, 1283, 31542, 269, 1411, 666, 948, 547, 2061, 11761, 676, 9001, 513, 476, 273, 1700, 275, 892, 4494, 540, 18720, 543, 12450, 22890, 2472, 936, 519, 3037, 267, 2523, 593, 1793, 14563, 2244, 610, 606, 1858, 609, 1804, 5666, 540, 1216, 2095, 269, 6875, 519, 942, 547, 2149, 707, 3407, 1283, 31542, 1354, 519, 6777, 8813, 630, 663, 1354, 519, 5614, 555, 1177, 256, 1916, 7628, 519, 10792, 5162, 5210, 267, 1256, 25836, 21064, 2371, 666, 1831, 1932, 4411, 547, 8853, 269, 25109, 577, 2488, 513, 4494, 540, 13471, 602, 786, 948, 547, 16102, 519, 5072, 689, 3665, 5210, 543, 2327, 602, 789, 1332, 1985, 4005, 269, 901, 568, 2523, 1271, 585, 4411, 32734, 1430, 7031, 267, 971, 607, 13342, 267, 543, 21064, 4829, 2371, 267, 899, 22229, 563, 2467, 616, 865, 1082, 4128, 547, 5265, 22890, 707, 10651, 713, 2887, 269, 3502, 1152, 786, 596, 723, 646, 1430, 3037, 543, 8902, 2371, 538, 519, 5614, 267, 855, 596, 786, 849, 723, 1447, 960, 547, 798, 1991, 547, 707, 5614, 9544, 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 ]
[ 621, 568, 8120, 607, 519, 562, 19229, 6305, 1297, 269, 19227, 267, 538, 519, 2013, 540, 1449, 1922, 19691, 267, 513, 1007, 4351, 1871, 568, 13603, 543, 7318, 585, 2215, 1275, 269, 634, 1184, 568, 7368, 2394, 519, 5551, 6305, 568, 1336, 563, 19350, 568, 519, 2347, 6388, 540, 519, 1657, 1935, 454, 9083, 275, 3787, 6305, 568, 912, 9616, 281, 7732, 19087, 540, 14066, 2398, 1307, 538, 5124, 454, 763, 7510, 322, 7973, 334, 5399, 568, 513, 3102, 4015, 540, 5150, 19474, 3252, 543, 1585, 14238, 6620, 269, 898, 849, 2882, 2596, 3252, 4122, 2838, 538, 14238, 270, 20657, 11736, 1305, 5725, 971, 607, 4351, 1297, 5108, 543, 4351, 6305, 1297, 5108, 269, 634, 3804, 540, 10451, 513, 4351, 6305, 1297, 609, 513, 9138, 3787, 20695, 666, 581, 6913, 1210, 519, 7510, 322, 7973, 334, 1205, 28269, 9074, 563, 763, 16105, 585, 10451, 513, 4351, 562, 19229, 6305, 1297, 568, 912, 10673, 1406, 3247, 1631, 543, 1491, 707, 1565, 547, 519, 1985, 1377, 269, 6258, 782, 519, 1271, 2035, 540, 4578, 23113, 543, 27122, 609, 519, 948, 540, 519, 1034, 11967, 1576, 281, 667, 6347, 8682, 623, 3166, 269, 28161, 2872, 4712, 693, 513, 2875, 7888, 3902, 563, 268, 1715, 23990, 547, 2637, 4733, 11788, 10606, 689, 476, 272, 547, 715, 628, 7089, 454, 268, 6744, 952, 513, 1297, 568, 11788, 267, 12054, 328, 6261, 31870, 610, 1290, 22683, 585, 1360, 1804, 2338, 454, 268, 23990, 547, 5352, 2318, 7787, 2338, 454, 268, 18104, 3017, 1063, 519, 8605, 540, 6348, 6261, 31870, 2338, 543, 11788, 2338, 540, 606, 26275, 454, 268, 18104, 16338, 1063, 519, 5681, 540, 6348, 6261, 31870, 2338, 543, 11788, 2338, 540, 606, 26275, 454, 268, 18104, 3017, 1063, 519, 2473, 3036, 540, 6348, 6261, 31870, 2338, 543, 11788, 2338, 540, 606, 26275, 454, 268, 7179, 519, 14282, 6305, 1297, 4646, 676, 4946, 6305, 2338, 547, 715, 454, 268, 18983, 16615, 540, 1101, 715, 2318, 9981, 971, 602, 6305, 2338, 616, 693, 6305, 17523, 1923, 5590, 476, 273, 454, 268, 18983, 16615, 540, 1101, 715, 2318, 9981, 971, 602, 6305, 2338, 616, 693, 6305, 17523, 454, 268, 7179, 6305, 2338, 609, 6305, 2040, 540, 9704, 538, 606, 5044, 454, 268, 4032, 782, 6305, 2338, 538, 513, 2016, 2039, 4171, 2040, 540, 9704, 568, 849, 6305, 454, 268, 6744, 952, 513, 6305, 1297, 666, 581, 6829, 607, 2040, 540, 1079, 11788, 10606, 454, 268, 5681, 540, 1079, 1804, 2338, 454, 268, 700, 13967, 540, 1079, 1804, 2338, 454, 268, 717, 7374, 540, 1079, 2338, 950, 835, 540, 873, 666, 581, 1360, 1804, 454, 268, 6555, 14548, 676, 476, 4391, 585, 1804, 2338, 454, 268, 3816, 664, 1457, 609, 476, 278, 585, 1804, 2338, 454, 268, 16338, 540, 1079, 1804, 2338, 454, 268, 4855, 7831, 32693, 540, 513, 317, 321, 585, 14066, 10606, 454, 268, 5681, 540, 782, 2067, 2338, 689, 700, 547, 681, 630, 585, 1804, 2418, 540, 700, 543, 681, 12467, 2252, 596, 899, 717, 2465, 802, 1721, 294, 2465, 802, 543, 1131, 899, 547, 3565, 267, 596, 666, 849, 2328, 606, 2376, 1210, 3565, 269, 613, 4060, 1721, 613, 4060, 3820, 610, 13875, 707, 2376, 547, 4757, 11333, 2593, 269, 6423, 707, 2376, 17729, 593, 519, 717, 2465, 802, 1721, 294, 2465, 802, 1292, 2985, 543, 948, 824, 717, 2465, 802, 563, 8923, 13724, 713, 2376, 952, 596, 1265, 4376, 11234, 676, 14467, 593, 519, 834, 18719, 557, 9137, 257, 7735, 2630, 269, 0, 1432, 1772, 918, 1177, 30245, 8376, 888, 298, 1177, 30245, 2068, 568, 849, 3006, 1572, 11940, 665, 583, 10389, 9726, 6843, 6794, 269, 1924, 267, 1018, 568, 918, 1177, 30245, 2068, 286, 898, 779, 606, 12982, 2783, 602, 5540, 519, 6821, 540, 519, 3461, 779, 16209, 267, 7679, 31013, 609, 519, 9726, 9136, 267, 543, 666, 849, 2014, 9402, 2295, 18819, 269, 2368, 2550, 1995, 6553, 540, 519, 18337, 16050, 267, 799, 2488, 1973, 2095, 547, 519, 2295, 269, 634, 2295, 4887, 666, 849, 1831, 28332, 267, 513, 2783, 1572, 26961, 4345, 269, 898, 949, 849, 15936, 609, 519, 3339, 8647, 540, 519, 2295, 779, 17901, 563, 4407, 891, 2295, 8374, 616, 6157, 3978, 267, 538, 1034, 2550, 267, 789, 666, 2356, 581, 17251, 609, 2126, 269, 898, 568, 1447, 1455, 585, 513, 3461, 547, 1020, 513, 8628, 2295, 2783, 1634, 607, 9715, 2295, 2068, 563, 763, 3169, 2014, 540, 918, 1177, 30245, 2068, 568, 7164, 269, 898, 568, 711, 21380, 269, 2755, 621, 568, 849, 711, 15110, 267, 930, 4966, 3494, 602, 513, 4719, 18687, 568, 2009, 269, 1703, 616, 513, 1906, 1981, 2188, 267, 585, 1383, 267, 8695, 616, 811, 2693, 547, 1020, 519, 2783, 982, 6690, 269, 14904, 896, 519, 2085, 540, 2947, 267, 607, 1134, 607, 1346, 540, 7489, 16350, 267, 616, 811, 2693, 547, 4579, 519, 4576, 563, 298, 1177, 30245, 2068, 10953, 538, 5933, 543, 666, 17932, 824, 2175, 267, 865, 621, 568, 1271, 547, 1832, 3950, 540, 782, 540, 707, 1126, 779, 2589, 543, 950, 789, 2049, 269, 634, 2589, 602, 3335, 5581, 1018, 568, 918, 13195, 13403, 2068, 616, 513, 1164, 8611, 602, 666, 6414, 585, 1079, 4374, 267, 10483, 676, 22224, 9726, 9136, 543, 513, 16420, 593, 519, 8731, 810, 543, 1024, 8558, 269, 14904, 849, 723, 1360, 2699, 4064, 267, 513, 22224, 267, 2699, 11469, 267, 543, 29618, 267, 2699, 17534, 269, 901, 3665, 25017, 568, 849, 18476, 593, 519, 27374, 543, 519, 4420, 1682, 540, 519, 3952, 269, 1452, 616, 2589, 540, 519, 1101, 3942, 540, 918, 1177, 30245, 2068, 563, 763, 2034, 3942, 540, 918, 1177, 30245, 2068, 786, 3142, 4745, 1928, 543, 14159, 1928, 269, 14904, 786, 3335, 7985, 689, 13481, 543, 13165, 267, 607, 1134, 607, 513, 890, 9934, 540, 519, 2960, 538, 1804, 9212, 267, 3226, 593, 519, 11263, 543, 19462, 563, 763, 3791, 3942, 540, 918, 1177, 30245, 2068, 568, 513, 3500, 6051, 269, 1452, 2589, 786, 27298, 7930, 267, 14322, 602, 1100, 8374, 1020, 269, 2368, 2550, 949, 711, 1745, 4628, 16626, 585, 607, 1279, 607, 5216, 4374, 563, 763, 2126, 585, 918, 1177, 30245, 2068, 568, 811, 2693, 547, 581, 3811, 950, 621, 568, 13175, 1369, 519, 1101, 476, 1015, 2395, 269, 634, 8611, 666, 581, 22485, 609, 519, 5351, 540, 29469, 267, 799, 666, 849, 6175, 6553, 543, 8897, 1928, 269, 9603, 547, 519, 1981, 540, 3978, 8374, 267, 3237, 1058, 2760, 17982, 29469, 547, 513, 1360, 1762, 1126, 4849, 896, 519, 2673, 15569, 540, 519, 12963, 1014, 563, 288, 4387, 786, 849, 3335, 17982, 606, 30376, 540, 18325, 5895, 6081, 267, 799, 568, 513, 1826, 540, 3940, 602, 666, 2569, 519, 1981, 540, 8374, 547, 519, 18337, 16050, 269, 1403, 8374, 798, 1020, 267, 519, 1126, 786, 2693, 581, 2016, 1973, 30034, 6527, 547, 948, 2061, 1973, 28163, 269, 10815, 4122, 267, 789, 949, 991, 547, 10929, 513, 5650, 547, 1930, 519, 1973, 8043, 267, 971, 607, 513, 18337, 16050, 2587, 328, 6955, 7360, 267, 513, 588, 550, 13307, 267, 610, 513, 18337, 16050, 21271, 21910, 6391, 269, 0, 1432, 1772, 1975, 1400, 853, 523, 2670, 888, 22958, 3320, 7133, 1004, 936, 519, 2085, 540, 15823, 267, 11983, 23296, 2670, 3322, 513, 32560, 540, 519, 12636, 269, 898, 949, 581, 519, 1267, 540, 513, 16795, 23979, 282, 3006, 2242, 2049, 547, 519, 2497, 540, 519, 9451, 13887, 12324, 607, 513, 1267, 540, 519, 10172, 1184, 1547, 769, 25691, 543, 519, 4527, 540, 28115, 894, 3676, 971, 607, 30169, 543, 27131, 12263, 666, 849, 581, 7700, 2188, 269, 769, 930, 2665, 267, 11983, 23296, 2670, 568, 4547, 593, 676, 513, 10510, 602, 5540, 519, 11983, 12324, 267, 606, 5945, 267, 610, 14806, 2670, 563, 8967, 1400, 23296, 2670, 949, 711, 2014, 1022, 2589, 267, 693, 2547, 693, 1101, 269, 898, 949, 849, 1291, 547, 5051, 29083, 2589, 1519, 1928, 267, 8467, 267, 16081, 4771, 543, 31018, 269, 769, 811, 3978, 2665, 267, 2550, 949, 723, 8373, 9013, 741, 1025, 5417, 619, 610, 6367, 1564, 610, 789, 949, 723, 8373, 609, 6972, 543, 3339, 3350, 269, 1975, 1400, 23296, 2670, 8229, 3441, 949, 581, 513, 3978, 3463, 538, 930, 2665, 267, 3226, 609, 17818, 11983, 23296, 2670, 267, 610, 11983, 23296, 2670, 602, 4386, 538, 519, 5580, 6712, 540, 519, 11983, 10260, 563, 28406, 539, 1369, 519, 11983, 12324, 616, 8229, 5072, 543, 519, 11983, 10260, 267, 607, 1134, 607, 513, 521, 871, 540, 8229, 5072, 602, 616, 2556, 585, 8401, 1062, 1852, 936, 519, 2539, 851, 540, 519, 1560, 269, 901, 22753, 568, 1634, 607, 519, 1309, 19085, 1226, 2088, 269, 1306, 519, 12324, 562, 541, 4900, 267, 519, 32560, 949, 2322, 2604, 593, 8229, 5072, 267, 519, 11983, 10260, 610, 519, 1309, 19085, 1226, 2088, 267, 799, 568, 4092, 693, 519, 3490, 540, 519, 11983, 10260, 269, 901, 666, 2014, 2589, 971, 607, 1928, 2059, 519, 1394, 267, 8405, 267, 7916, 610, 7953, 267, 543, 31018, 267, 8467, 543, 2530, 540, 1852, 563, 2691, 11983, 23296, 2670, 4386, 538, 519, 2539, 1394, 267, 519, 561, 29856, 3148, 267, 621, 949, 711, 581, 2556, 547, 723, 6391, 543, 8229, 3441, 949, 711, 581, 513, 3463, 269, 4033, 2126, 3681, 1519, 2168, 3797, 543, 6527, 949, 581, 2614, 547, 14867, 2589, 543, 4383, 519, 2068, 269, 595, 969, 673, 11983, 23296, 2670, 267, 799, 5540, 519, 8405, 1858, 267, 949, 2154, 6391, 607, 519, 2604, 543, 32560, 568, 4440, 1152, 2469, 547, 1831, 8338, 609, 942, 269, 10705, 513, 10551, 5650, 1634, 607, 513, 22495, 26618, 568, 2944, 547, 1118, 519, 11983, 12324, 9962, 267, 17212, 1324, 519, 2604, 593, 519, 13285, 563, 28406, 532, 2659, 1975, 1400, 24778, 454, 8967, 1400, 23296, 2670, 949, 2014, 8229, 3441, 543, 1291, 547, 811, 4049, 2042, 602, 1118, 4948, 1272, 811, 2352, 267, 971, 607, 2530, 540, 1852, 936, 519, 15485, 543, 6367, 1564, 543, 513, 7411, 1373, 3222, 540, 17119, 885, 269, 24930, 949, 4363, 6391, 538, 930, 2665, 267, 3226, 609, 17818, 11983, 23296, 2670, 267, 547, 2061, 3441, 547, 519, 13285, 610, 11983, 10260, 543, 1256, 26900, 269, 769, 1082, 2665, 1004, 945, 7985, 689, 561, 29856, 11983, 23296, 2670, 267, 799, 568, 519, 1034, 1455, 1106, 267, 949, 1265, 1875, 1606, 17790, 5574, 616, 2614, 563, 25712, 4456, 306, 269, 1975, 1400, 853, 523, 2670, 269, 4179, 2517, 4178, 8542, 3554, 338, 8542, 8811, 10993, 270, 10890, 318, 14813, 334, 270, 8967, 1400, 318, 306, 1084, 2670, 270, 258, 4944, 710, 21223, 454, 16158, 13270, 269, 1546, 4818, 4809, 22495, 26618, 585, 11983, 23296, 2670, 269, 4179, 2517, 4178, 269, 19986, 30113, 2593, 270, 3724, 1790, 664, 270, 1372, 4818, 4809, 2000, 3133, 26618, 16519, 17898, 1400, 3613, 523, 2670, 454, 17206, 540, 15930, 6481, 4741, 269, 589, 21111, 779, 6651, 547, 595, 969, 673, 1975, 1400, 853, 523, 2670, 4179, 2517, 4178, 269, 17026, 12975, 4882, 18090, 22487, 270, 25531, 11305, 969, 673, 318, 4944, 1400, 14067, 523, 2670, 21867, 454, 8469, 21778, 9578, 269, 1975, 1400, 853, 523, 2670, 269, 4179, 2517, 4178, 8542, 27476, 8542, 8811, 10993, 270, 4364, 1467, 15200, 4882, 335, 1400, 22978, 2670, 11258 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 297, 3317, 11717, 4521, 2023, 267, 631, 6185, 1421, 543, 1200, 2319, 1353, 513, 8756, 538, 2295, 2281, 602, 10741, 950, 1648, 568, 1970, 547, 2149, 519, 2295, 269, 2060, 811, 1702, 540, 519, 8756, 267, 741, 4126, 568, 547, 581, 2111, 547, 1930, 621, 609, 6527, 547, 2569, 2800, 547, 519, 2295, 1739, 2295, 6391, 267, 2295, 4323, 610, 2053, 540, 2566, 269, 13028, 811, 7044, 693, 5291, 2517, 4178, 269, 7749, 9469, 25924, 3820, 22812, 572, 541, 19601, 18704, 16258, 12700, 454, 25205, 13519, 18874, 26391, 4521, 2023, 568, 13031, 875, 23262, 949, 581, 2111, 547, 7148, 883, 519, 1948, 24711, 779, 2067, 2702, 547, 2149, 3294, 950, 11074, 1282, 6391, 269, 8437, 547, 570, 11548, 454, 2419, 3971, 267, 10406, 540, 9315, 13519, 17889, 454, 23178, 540, 17889, 454, 2750, 13630, 1047, 281, 589, 20294, 589, 928, 584, 903, 916, 267, 589, 20294, 2598, 21827, 267, 589, 20294, 17889, 267, 9315, 13519, 5516, 267, 9315, 13519, 13999, 267, 9315, 13519, 17889, 267, 9315, 328, 1054, 528, 25714, 17889, 267, 31292, 15302, 267, 31292, 17889, 267, 20840, 776, 1488, 6670, 1635, 10139, 717, 2761, 17889, 630, 290, 5723, 294, 1070, 20840, 776, 3267, 0, 1103, 519, 1216, 2872, 267, 6094, 2914, 6817, 16243, 5374, 12992, 723, 1044, 4922, 1031, 269, 634, 1034, 1031, 16243, 5374, 9344, 616, 476, 19054, 543, 476, 22332, 16243, 5374, 267, 543, 476, 19054, 543, 476, 22332, 16243, 2848, 1564, 616, 15095, 609, 1034, 1216, 2126, 543, 4483, 2175, 269, 634, 4222, 540, 519, 16243, 5374, 1570, 5587, 5809, 519, 4187, 540, 519, 1216, 10612, 547, 6617, 543, 568, 2922, 543, 5150, 269, 8881, 543, 10727, 616, 519, 1034, 2596, 4441, 585, 2679, 1216, 3761, 269, 769, 519, 2013, 540, 5007, 2604, 267, 16243, 5374, 1216, 12992, 10355, 13451, 267, 543, 519, 24694, 2557, 540, 7601, 12992, 543, 5068, 12992, 568, 3677, 267, 543, 519, 12992, 616, 3362, 8697, 676, 4070, 610, 6281, 23732, 269, 634, 1292, 1966, 540, 27025, 8351, 609, 5068, 1216, 12992, 538, 930, 2101, 4872, 538, 3624, 568, 1216, 24694, 269, 634, 1034, 2565, 2601, 585, 1216, 24694, 568, 602, 5068, 1216, 12992, 3112, 16641, 5007, 1764, 563, 7197, 540, 519, 1164, 25774, 1216, 3761, 1949, 2356, 946, 811, 982, 476, 271, 269, 277, 300, 11985, 540, 2604, 282, 519, 2604, 593, 519, 10612, 568, 14553, 2838, 269, 21311, 12992, 1031, 538, 519, 1216, 3761, 1062, 798, 711, 3914, 713, 1871, 543, 798, 711, 2743, 519, 4170, 269, 1703, 568, 513, 1713, 3017, 538, 519, 7269, 11664, 1063, 519, 1079, 2326, 540, 519, 12432, 10612, 269, 1403, 972, 568, 1100, 28455, 610, 8143, 7269, 543, 19432, 267, 519, 9668, 4494, 949, 2049, 267, 543, 519, 2604, 540, 519, 6094, 2914, 6817, 7601, 10612, 10301, 476, 276, 269, 280, 12463, 320, 269, 5221, 540, 922, 5140, 7344, 3601, 267, 6094, 2914, 6817, 16243, 5374, 12992, 666, 16641, 1804, 1216, 3761, 12503, 267, 23630, 476, 1015, 300, 11985, 267, 2523, 5078, 585, 1164, 8573, 1047, 1216, 3761, 563, 1103, 1249, 267, 1082, 1164, 3491, 12803, 3486, 5656, 723, 6074, 519, 1292, 18180, 585, 16243, 5374, 1216, 3761, 269, 634, 2792, 13486, 538, 918, 783, 320, 700, 2794, 584, 267, 17111, 568, 519, 8772, 32399, 2792, 13486, 538, 519, 1158, 269, 898, 23297, 476, 19054, 16243, 5374, 12992, 547, 3761, 1216, 547, 519, 476, 275, 2641, 2173, 2678, 2679, 269, 634, 12872, 701, 328, 11038, 4741, 267, 3710, 538, 476, 1220, 275, 267, 568, 476, 2004, 279, 7397, 1164, 267, 543, 922, 1216, 3761, 10612, 2882, 513, 1292, 10612, 609, 513, 8006, 540, 476, 28760, 7397, 269, 32255, 5374, 1216, 10612, 563, 763, 8143, 7269, 11664, 540, 6094, 2914, 6817, 16243, 5374, 10612, 568, 2147, 547, 602, 540, 7601, 10612, 267, 799, 568, 476, 5611, 260, 540, 8723, 5374, 10612, 269, 634, 1079, 25686, 16243, 5374, 10612, 814, 519, 5413, 540, 3500, 7269, 543, 19432, 269, 634, 1164, 7269, 11664, 540, 5068, 12992, 568, 513, 1883, 10638, 543, 3112, 581, 1031, 607, 513, 3905, 1216, 10612, 269, 769, 519, 1604, 1141, 519, 19355, 2837, 814, 513, 2837, 3017, 267, 519, 5068, 10612, 568, 12155, 547, 2101, 2042, 971, 607, 24694, 267, 543, 621, 568, 811, 5739, 538, 10703, 4705, 1568, 269, 1703, 568, 513, 1966, 602, 519, 7269, 11664, 540, 519, 1079, 2326, 568, 1114, 585, 519, 12432, 10612, 267, 543, 519, 4745, 540, 519, 1079, 2326, 568, 12155, 547, 18015, 267, 4929, 519, 1216, 10612, 547, 16802, 563, 763, 8143, 19428, 540, 519, 16243, 5374, 8546, 568, 476, 275, 260, 540, 519, 7601, 8546, 267, 799, 568, 476, 736, 260, 540, 519, 8723, 5374, 8546, 267, 543, 568, 2523, 5078, 585, 3905, 1216, 6283, 267, 543, 568, 1454, 1732, 982, 519, 3002, 11091, 1198, 540, 519, 7601, 8546, 563, 306, 1555, 1652, 5374, 1281, 711, 8858, 3573, 14809, 899, 3327, 5374, 267, 543, 972, 568, 1100, 8825, 15098, 1282, 10380, 282, 519, 5542, 540, 6094, 2914, 6817, 16243, 5374, 13740, 814, 1100, 9993, 593, 519, 3114, 5888, 540, 519, 1216, 269, 5221, 16243, 5374, 814, 5140, 14809, 4187, 538, 782, 5135, 1543, 267, 2837, 267, 9063, 543, 21052, 540, 1216, 267, 16243, 5374, 1216, 12992, 666, 16641, 1164, 2095, 3928, 267, 1256, 693, 2095, 3928, 3152, 982, 476, 2412, 544, 1315, 521, 267, 666, 849, 723, 513, 1360, 3500, 14809, 2557, 267, 1447, 982, 476, 271, 269, 19740, 6515, 1315, 1032, 267, 2523, 5078, 585, 1164, 8573, 1047, 1216, 3761, 563, 306, 1555, 1652, 5374, 3622, 1281, 711, 10929, 2199, 14809, 269, 476, 19054, 16243, 5374, 666, 16641, 513, 17296, 1543, 540, 476, 1220, 28327, 267, 543, 476, 22332, 16243, 5374, 666, 16641, 513, 17296, 1543, 540, 811, 982, 476, 1911, 271, 28327, 269, 901, 3932, 568, 1759, 593, 2361, 8097, 1239, 543, 814, 1044, 9672, 676, 1995, 563, 3080, 540, 519, 1034, 1271, 5383, 540, 16243, 5374, 8685, 532, 568, 922, 5140, 14809, 4187, 267, 799, 568, 14222, 1851, 519, 2947, 8685, 532, 269, 5221, 16243, 5374, 666, 1780, 10675, 609, 519, 12444, 656, 267, 513, 9157, 543, 10053, 26388, 11656, 12547, 8825, 4670, 9197, 273, 302, 274, 568, 4646, 593, 519, 2627, 267, 799, 3927, 11151, 519, 2417, 16617, 5114, 269, 4033, 4496, 12992, 267, 971, 607, 27647, 1242, 1216, 12992, 543, 7601, 12992, 267, 723, 1360, 2370, 1780, 10474, 2702, 267, 799, 568, 519, 1883, 2601, 1946, 519, 14809, 4187, 540, 27647, 1242, 12992, 543, 7601, 12992, 568, 2484, 1447, 982, 602, 540, 16243, 5374, 12992, 563, 10817, 652, 20334, 616, 10950, 693, 519, 2353, 1195, 26264, 20193, 568, 513, 12353, 530, 5942, 543, 3391, 593, 18585, 1344, 543, 4393, 2029, 267, 1247, 849, 827, 519, 5318, 5044, 540, 3255, 602, 616, 1459, 538, 5663, 269, 3776, 2319, 540, 5830, 5161, 540, 513, 7557, 1456, 7698, 4675, 17067, 1315, 7557, 21442, 1315, 15484, 543, 12603, 631, 6033, 267, 513, 4437, 32441, 23910, 1315, 8605, 4886, 23910, 267, 513, 16763, 4886, 18509, 13541, 1315, 1520, 31019, 7905, 267, 543, 513, 5518, 543, 16628, 540, 513, 5663, 9744, 563, 29791, 547, 713, 2376, 16088, 1320, 514, 2914, 6817, 16243, 5374, 8546, 454, 11847, 11781, 15048, 281, 1403, 972, 616, 1100, 2027, 5528, 267, 782, 4930, 593, 713, 3135, 616, 3312, 269, 7490, 5815, 519, 2707, 585, 1065, 11781, 532, 281, 5472, 1195, 26264, 8147, 628, 3471, 0, 347, 22102, 9416, 3714, 617, 716, 344, 569, 609, 19755, 540, 519, 1507, 9416, 2509, 519, 8258, 9416, 2008, 28058, 617, 716, 344, 569, 1034, 4122, 5540, 519, 1507, 9416, 543, 3123, 513, 19755, 2509, 519, 8258, 9416, 998, 519, 1647, 943, 23750, 343, 269, 1717, 267, 3714, 617, 716, 344, 569, 666, 2049, 538, 1022, 9416, 543, 1419, 5540, 519, 14853, 538, 1453, 4299, 676, 25102, 27689, 630, 291, 12495, 6794, 267, 589, 704, 1206, 6794, 1040, 589, 2347, 17609, 540, 2404, 25102, 27689, 568, 3564, 519, 9165, 540, 713, 2689, 855, 811, 666, 581, 1336, 693, 5291, 2517, 4178, 8542, 322, 6798, 8542, 27476, 8542, 8811, 10993, 270, 558, 574, 454, 347, 4462, 639, 783, 3714, 617, 716, 344, 569, 540, 519, 4994, 9416, 8198, 763, 1647, 943, 23750, 343, 568, 3335, 519, 3135, 540, 606, 9402, 2208, 6676, 269, 634, 2208, 6676, 568, 2356, 1152, 693, 519, 3490, 540, 519, 9416, 5642, 855, 538, 713, 3510, 267, 972, 949, 581, 513, 2208, 6676, 1472, 835, 2427, 540, 519, 5642, 268, 513, 968, 3630, 1188, 9643, 3134, 13023, 1736, 1848, 901, 2965, 3123, 9402, 2208, 609, 835, 2427, 3395, 811, 7444, 267, 3976, 4929, 519, 22441, 540, 519, 9416, 269, 901, 3335, 7707, 839, 609, 2085, 563, 18871, 4802, 617, 716, 344, 569, 1535, 2001, 609, 9402, 2208, 6676, 540, 1647, 943, 23750, 343, 267, 513, 968, 3630, 1188, 9643, 3134, 13023, 1736, 1848, 901, 5012, 547, 9402, 2208, 543, 29083, 540, 519, 25983, 1275, 609, 942, 8198, 1103, 1034, 2665, 267, 3714, 617, 716, 344, 569, 568, 711, 4049, 543, 568, 1034, 1419, 606, 5920, 3390, 2864, 982, 513, 1599, 1966, 269, 1717, 267, 950, 4049, 610, 952, 1880, 2238, 616, 3908, 267, 6391, 666, 581, 2808, 269, 769, 1762, 1453, 267, 594, 4782, 513, 2241, 5650, 799, 17337, 519, 9402, 2208, 6676, 267, 3976, 31925, 519, 512, 5930, 689, 519, 15741, 9643, 3134, 13023, 1736, 269, 901, 5650, 1281, 711, 1683, 7525, 15494, 855, 2636, 16795, 15494, 609, 2208, 269, 898, 568, 5340, 538, 7820, 3214, 267, 23679, 1447, 982, 2085, 476, 276, 269, 901, 1523, 568, 711, 1007, 543, 606, 2038, 6609, 540, 713, 4480, 729, 3177, 676, 6970, 537, 8291, 6441, 629, 10235, 267, 5291, 2517, 4178, 12459, 327, 1343, 4026, 3820, 270, 14835, 13478, 271, 3607, 274, 268, 2004, 273, 274, 263, 6349, 264, 1822, 1691, 29930, 270, 629, 5724, 4586, 2005, 568, 811, 1455, 602, 3714, 617, 716, 344, 569, 3587, 8068, 610, 16609, 538, 4587, 1453, 267, 2250, 519, 2085, 1141, 713, 2241, 5650, 568, 2500, 269, 769, 1346, 1453, 267, 519, 5642, 666, 581, 2759, 543, 1483, 11220, 630, 534, 11560, 30315, 264, 609, 1434, 2164, 269, 1703, 616, 513, 1297, 540, 1114, 2553, 609, 782, 3246, 2147, 1434, 4093, 269, 2290, 3390, 1310, 713, 6391, 568, 20765, 7133, 519, 2063, 4745, 538, 519, 9416, 630, 1492, 667, 7709, 4745, 1040, 901, 10607, 936, 942, 269, 1284, 12649, 891, 1079, 2596, 5773, 538, 519, 1739, 2376, 912, 2080, 616, 513, 1906, 4791, 11147, 540, 2550, 1354, 543, 1310, 6391, 269, 14904, 543, 3885, 616, 3335, 3833, 6126, 609, 519, 2164, 540, 6391, 563, 18871, 4802, 617, 716, 344, 569, 1310, 15494, 593, 519, 2451, 1688, 1507, 9416, 543, 1354, 15494, 593, 519, 1318, 8198, 24820, 1114, 3461, 609, 3714, 617, 716, 344, 569, 15494, 593, 519, 835, 11909, 344, 855, 711, 2943, 593, 519, 824, 8198, 30108, 543, 631, 636, 269, 11289, 596, 585, 1603, 269, 3143, 267, 25473, 267, 713, 568, 711, 513, 2101, 3390, 269, 10266, 568, 4686, 269, 26419, 267, 519, 1292, 6161, 568, 1599, 543, 519, 1761, 602, 713, 2587, 1637, 543, 3444, 936, 949, 1860, 1599, 269, 1703, 568, 513, 2241, 5106, 538, 519, 1762, 3461, 547, 2953, 713, 855, 621, 666, 849, 581, 22621, 607, 646, 4991, 4587, 269, 594, 1522, 2911, 547, 513, 22787, 1688, 6391, 952, 2009, 855, 711, 19060, 547, 1022, 3664, 269, 0, 14399, 609, 13560, 6794, 630, 9169, 264, 616, 693, 513, 476, 736, 24670, 2799, 1981, 585, 8650, 9726, 29793, 2880, 26679, 630, 9169, 268, 17920, 1040, 4014, 519, 1696, 5735, 540, 713, 2362, 1981, 540, 3384, 26679, 3788, 7361, 15458, 267, 519, 2487, 8446, 540, 10911, 299, 293, 273, 630, 1097, 339, 758, 710, 13805, 899, 3815, 476, 273, 264, 543, 29273, 298, 273, 13592, 543, 1353, 540, 519, 1198, 540, 959, 529, 3912, 540, 670, 332, 3913, 272, 543, 667, 10455, 330, 272, 320, 630, 706, 531, 10391, 640, 1119, 4592, 710, 8485, 800, 3175, 15696, 4327, 32635, 476, 272, 288, 264, 593, 645, 16052, 1646, 723, 8774, 1713, 1007, 1769, 593, 519, 2068, 1184, 269, 3371, 649, 1445, 593, 519, 4791, 2934, 267, 7350, 543, 11976, 540, 20231, 538, 1453, 609, 26712, 269, 1284, 2689, 519, 2189, 4162, 540, 26712, 268, 17920, 593, 1312, 519, 4791, 543, 7636, 2157, 543, 1865, 519, 3604, 538, 5574, 543, 4093, 538, 20231, 538, 1453, 609, 26712, 3379, 609, 1346, 1510, 26712, 269, 634, 8446, 540, 1007, 6211, 4030, 568, 4397, 547, 17362, 519, 1259, 585, 3209, 6098, 11257, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 10048, 4526, 454, 16274, 281, 476, 6021, 4119, 476, 1001, 276, 454, 15803, 281, 476, 4200, 454, 29479, 476, 272, 281, 476, 278, 3583, 1627, 7906, 966, 4510, 454, 294, 5183, 281, 476, 273, 269, 274, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 1704, 1496, 271, 3910, 2016, 281, 476, 277, 692, 3725, 281, 1403, 476, 280, 568, 513, 3815, 540, 476, 273, 343, 267, 1287, 799, 540, 519, 1739, 949, 711, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1556, 4119, 476, 1001, 276, 267, 476, 1724, 281, 2641, 454, 2252, 476, 280, 568, 513, 3815, 540, 476, 273, 343, 18092, 476, 273, 343, 815, 476, 280, 330, 267, 1141, 737, 815, 476, 271, 267, 476, 272, 267, 3092, 692, 277, 343, 270, 7918, 1341, 476, 273, 343, 270, 274, 666, 581, 17370, 9287, 538, 2474, 540, 737, 607, 912, 2767, 330, 270, 7918, 1341, 476, 280, 330, 270, 274, 692, 6518, 568, 737, 270, 273, 1341, 476, 274, 330, 692, 1492, 476, 274, 330, 786, 2141, 581, 606, 8870, 267, 855, 519, 1101, 2165, 1152, 1568, 585, 1256, 737, 780, 531, 1181, 8271, 267, 952, 596, 1175, 726, 28289, 538, 737, 284, 272, 18092, 476, 273, 343, 284, 280, 18092, 1535, 284, 275, 269, 276, 596, 1131, 723, 8452, 693, 589, 607, 6202, 454, 12421, 454, 16274, 281, 476, 4029, 4239, 476, 1001, 276, 454, 15803, 281, 476, 4391, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 273, 1496, 271, 3910, 2016, 281, 476, 7871, 692, 2252, 476, 280, 568, 513, 3815, 540, 476, 273, 343, 267, 1287, 799, 540, 519, 1739, 949, 711, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 3066, 5463, 476, 1001, 276, 267, 476, 4962, 281, 6246, 454, 763, 2626, 568, 589, 780, 763, 2055, 2488, 602, 476, 273, 343, 568, 16883, 676, 476, 280, 267, 865, 1535, 568, 2901, 513, 2789, 540, 476, 280, 610, 1535, 815, 476, 280, 270, 273, 815, 476, 275, 269, 276, 692, 2252, 1535, 815, 476, 275, 269, 276, 1287, 476, 277, 343, 270, 7918, 815, 630, 277, 265, 275, 269, 276, 8358, 630, 277, 265, 280, 264, 815, 476, 272, 270, 273, 269, 3502, 606, 8870, 780, 1103, 782, 824, 2665, 950, 519, 4834, 616, 16866, 267, 476, 273, 343, 568, 2141, 519, 19362, 543, 476, 280, 610, 476, 274, 2141, 519, 14009, 1818, 519, 2626, 2141, 606, 8870, 563, 2252, 476, 280, 568, 513, 3815, 540, 476, 273, 343, 267, 1287, 799, 540, 519, 1739, 949, 711, 5231, 1496, 258, 21529, 316, 476, 3066, 5463, 476, 1001, 276, 267, 476, 4962, 281, 6246, 454, 13436, 3584, 1234, 18680, 7831, 2022, 454, 13436, 454, 12749, 923, 912, 7617, 540, 519, 1739, 568, 711, 16883, 676, 476, 280, 286, 476, 273, 476, 1556, 4455, 476, 1001, 277, 267, 476, 6860, 281, 6021, 454, 280, 317, 280, 910, 476, 280, 317, 273, 568, 19406, 540, 799, 540, 519, 1739, 286, 476, 273, 476, 6734, 3057, 476, 1001, 277, 267, 476, 1240, 281, 1839, 454, 2252, 476, 274, 343, 1341, 476, 272, 2999, 476, 273, 343, 2999, 476, 280, 910, 1535, 267, 799, 540, 519, 1739, 1590, 581, 3020, 286, 476, 276, 476, 1556, 4924, 476, 1001, 275, 267, 476, 5881, 281, 5400, 454, 275, 6904, 540, 519, 1739, 568, 10691, 513, 3815, 540, 519, 1587, 540, 519, 476, 274, 476, 1691, 4119, 476, 1001, 274, 267, 476, 2641, 281, 6187, 454, 736, 1403, 1535, 568, 513, 1297, 971, 602, 1107, 273, 18016, 1535, 18016, 476, 273, 799, 540, 519, 1739, 476, 2537, 476, 1015, 4455, 476, 1001, 272, 267, 476, 2641, 281, 736, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 692, 258, 1403, 476, 280, 568, 513, 3815, 540, 476, 273, 343, 267, 1287, 799, 540, 519, 1739, 949, 711, 692, 1007, 1888, 2022, 16253, 7726, 8492, 20042, 3733, 3883, 12201, 17352, 12830, 3584, 692, 623, 10062, 676, 943, 335, 17668, 9736, 943, 335, 17668, 6828, 543, 943, 335, 17668, 22048, 9877, 569, 4063, 602, 519, 17918, 10378, 1449, 568, 513, 10805, 22028, 540, 519, 23958, 5004, 1520, 3939, 7027, 10378, 267, 543, 713, 3135, 814, 9444, 1044, 12649, 6862, 31045, 676, 10648, 3722, 10378, 269, 0, 258, 26859, 609, 7223, 2262, 1966, 692, 1892, 3057, 476, 272, 560, 476, 1001, 274, 267, 476, 1015, 281, 1724, 7537, 454, 13582, 1556, 454, 10112, 2700, 609, 7223, 2262, 1966, 454, 23737, 1946, 621, 1131, 581, 2653, 547, 4612, 519, 4605, 27235, 607, 6029, 602, 476, 275, 265, 274, 315, 276, 284, 1321, 315, 736, 269, 11512, 875, 547, 4612, 519, 4605, 7157, 267, 543, 2491, 1946, 707, 7664, 13352, 609, 519, 2495, 540, 476, 275, 265, 274, 315, 276, 692, 335, 27348, 454, 10674, 2517, 4118, 15276, 1721, 636, 2593, 270, 13548, 9706, 978, 282, 321, 1862, 289, 297, 305, 308, 276, 11293, 330, 297, 1375, 326, 2525, 5291, 2517, 4118, 15276, 1721, 636, 2593, 270, 13548, 9706, 978, 282, 321, 1862, 289, 297, 305, 308, 276, 11293, 330, 297, 1375, 326, 2525, 5291, 2517, 4118, 15276, 1721, 636, 2593, 270, 13548, 9706, 978, 282, 321, 1862, 289, 297, 305, 308, 276, 11293, 330, 297, 1375, 326, 2525, 5291, 2517, 4118, 15276, 1721, 636, 2593, 270, 13548, 9706, 978, 282, 321, 1862, 289, 297, 305, 308, 276, 11293, 330, 297, 1375, 326, 2525, 454, 263, 276, 25965, 5258, 883, 1142, 2898, 4216, 269, 476, 274, 616, 26484, 543, 476, 273, 616, 796, 3333, 12184, 538, 1142, 4216, 994, 1892, 3057, 476, 272, 560, 476, 1001, 274, 267, 476, 1556, 281, 1556, 7537, 454, 257, 2467, 616, 476, 276, 25965, 2698, 585, 1142, 2898, 4216, 267, 476, 274, 540, 799, 616, 4904, 538, 269, 1879, 972, 616, 2185, 971, 10833, 267, 972, 616, 476, 736, 25965, 2698, 609, 476, 1321, 26484, 538, 269, 9747, 4399, 6234, 1422, 2765, 346, 275, 265, 274, 2410, 276, 348, 815, 1422, 2765, 346, 1321, 2410, 736, 4151, 4840, 1607, 7664, 568, 11234, 1317, 649, 616, 14921, 519, 1297, 540, 26484, 543, 796, 3333, 12184, 10833, 676, 476, 275, 269, 543, 865, 513, 3020, 7664, 540, 519, 4605, 1131, 581, 4399, 6234, 1422, 2765, 346, 275, 2410, 275, 348, 2608, 1422, 2765, 346, 274, 2410, 276, 348, 815, 1422, 2765, 346, 1321, 2410, 736, 4151, 0, 258, 681, 9680, 305, 8577, 12778, 589, 2793, 14877, 306, 3041, 692, 1012, 6168, 834, 8802, 1833, 2079, 5016, 8802, 1833, 2079, 23241, 1103, 9695, 2079, 267, 649, 616, 7255, 609, 519, 16759, 540, 835, 4756, 585, 513, 2016, 1871, 1109, 1993, 1776, 4756, 630, 528, 585, 513, 2016, 1305, 540, 2418, 540, 513, 1297, 540, 4632, 264, 593, 519, 4493, 540, 606, 1109, 320, 2071, 6310, 2078, 1063, 519, 1079, 4632, 630, 528, 513, 1297, 540, 4632, 6393, 8802, 1833, 2079, 4249, 513, 1360, 1271, 1909, 538, 519, 2361, 540, 1169, 1480, 2534, 780, 321, 5350, 2006, 949, 581, 16994, 547, 917, 1018, 1131, 581, 1010, 6059, 7443, 585, 513, 2016, 1377, 540, 1109, 514, 4034, 618, 593, 519, 4493, 540, 519, 2250, 5638, 780, 20118, 267, 606, 856, 4707, 2875, 949, 899, 547, 917, 1109, 615, 4960, 540, 3478, 513, 1101, 1362, 538, 519, 3803, 2160, 22410, 593, 519, 4493, 540, 1200, 1109, 704, 18504, 538, 519, 2852, 5542, 1449, 780, 1012, 22953, 2079, 692, 2691, 972, 616, 1079, 4632, 1535, 543, 586, 543, 952, 586, 568, 6766, 676, 1535, 1775, 4318, 269, 952, 586, 5673, 593, 1535, 267, 1287, 649, 1205, 513, 2241, 5276, 9695, 610, 2241, 9695, 780, 344, 568, 1634, 607, 8200, 4756, 610, 9695, 610, 6045, 4756, 543, 1535, 568, 1634, 607, 4830, 4756, 610, 27667, 610, 2646, 1807, 780, 1103, 519, 3105, 1806, 2094, 7443, 5673, 593, 5092, 610, 2773, 538, 519, 2160, 22410, 568, 8200, 593, 519, 2773, 538, 519, 2852, 5542, 1449, 267, 7443, 610, 2773, 538, 519, 2160, 22410, 568, 519, 8200, 4756, 543, 5092, 610, 2773, 538, 519, 5542, 1449, 568, 519, 769, 17466, 4756, 780, 1103, 2013, 540, 513, 2241, 9695, 2203, 952, 586, 5673, 593, 1535, 267, 1287, 519, 9695, 1899, 540, 586, 593, 1535, 538, 2016, 1109, 2421, 692, 344, 815, 513, 1341, 536, 343, 692, 2080, 513, 543, 536, 616, 1079, 21635, 543, 789, 616, 849, 1634, 607, 9695, 6724, 780, 13010, 267, 1109, 321, 568, 849, 1634, 607, 519, 9695, 11664, 540, 586, 593, 1535, 543, 568, 849, 20922, 676, 536, 8975, 497, 543, 519, 4542, 547, 1265, 1109, 321, 8975, 497, 568, 2016, 676, 692, 2080, 267, 834, 337, 257, 6763, 585, 9756, 11664, 1063, 834, 343, 257, 543, 834, 344, 6231, 5475, 21501, 536, 267, 7447, 540, 513, 28812, 2016, 676, 692, 2252, 1535, 5673, 593, 586, 267, 1287, 519, 9695, 1899, 540, 1535, 593, 586, 538, 2016, 1109, 2421, 692, 343, 815, 513, 1341, 676, 692, 2080, 513, 543, 536, 616, 1079, 21635, 543, 789, 616, 849, 1634, 607, 9695, 6724, 780, 13010, 267, 1109, 321, 568, 849, 1634, 607, 519, 9695, 11664, 540, 1535, 593, 586, 543, 568, 849, 20922, 676, 536, 413, 369, 356, 780, 2080, 267, 834, 337, 257, 6763, 585, 9756, 11664, 1063, 834, 343, 257, 543, 834, 344, 6231, 5475, 21501, 536, 267, 7447, 540, 513, 28812, 2016, 676, 692, 1012, 22953, 2079, 910, 6657, 1966, 692, 19370, 23241, 8340, 519, 1079, 9695, 4834, 689, 519, 1739, 1239, 1384, 11405, 23241, 4002, 519, 4493, 540, 519, 1657, 3349, 267, 649, 723, 692, 763, 9695, 1899, 540, 586, 593, 1535, 568, 2016, 676, 692, 344, 815, 513, 1341, 536, 343, 692, 3602, 536, 476, 1109, 284, 476, 1109, 322, 990, 630, 343, 267, 586, 264, 1315, 630, 306, 8975, 497, 264, 11054, 692, 321, 476, 1109, 284, 476, 1109, 276, 269, 277, 1556, 271, 1315, 476, 277, 269, 31229, 276, 692, 321, 476, 1109, 284, 476, 1109, 271, 269, 279, 1691, 276, 692, 663, 476, 1109, 320, 476, 1109, 284, 476, 1109, 11743, 540, 834, 344, 257, 910, 536, 1547, 1611, 540, 834, 343, 5016, 320, 476, 1109, 284, 476, 1109, 280, 269, 18357, 910, 476, 271, 269, 279, 1691, 276, 1535, 476, 276, 269, 26116, 278, 692, 320, 476, 1109, 284, 476, 1109, 275, 269, 278, 1704, 279, 692, 13295, 519, 6059, 9695, 3830, 540, 586, 593, 1535, 568, 692, 344, 815, 476, 275, 269, 278, 1704, 279, 1341, 476, 271, 269, 279, 1691, 276, 343, 692, 20118, 267, 519, 9695, 3830, 540, 1535, 593, 586, 666, 581, 7229, 543, 621, 568, 692, 343, 815, 1107, 275, 269, 11740, 272, 1341, 476, 272, 269, 5881, 275, 274, 344, 692, 1012, 16544, 540, 9695, 3515, 692, 9217, 264, 476, 1109, 763, 9695, 14170, 2611, 24240, 1813, 547, 513, 6521, 540, 5169, 855, 1689, 1813, 547, 513, 6521, 540, 4336, 780, 1607, 3959, 2829, 602, 952, 519, 3312, 6292, 540, 4632, 568, 630, 343, 267, 586, 264, 543, 952, 789, 616, 4957, 547, 519, 6292, 630, 340, 267, 642, 264, 1141, 692, 23870, 264, 476, 1109, 763, 1079, 3515, 540, 9695, 12969, 693, 519, 1448, 692, 263, 1889, 320, 540, 834, 343, 2580, 1611, 540, 834, 344, 19823, 692, 3602, 1535, 543, 586, 616, 519, 4632, 896, 7156, 780, 31702, 264, 476, 1109, 763, 11664, 540, 9756, 1063, 1079, 4632, 1535, 543, 586, 538, 519, 2241, 12166, 1611, 540, 519, 1079, 9695, 14170, 269, 634, 1129, 540, 519, 9756, 11664, 1131, 581, 519, 1455, 1129, 540, 519, 1079, 9695, 14170, 780, 1607, 3959, 3081, 602, 952, 519, 1079, 9695, 14170, 616, 20922, 676, 536, 30548, 536, 1109, 6533, 519, 11664, 540, 9756, 568, 2016, 676, 692, 2252, 1312, 519, 9695, 14170, 616, 2942, 267, 678, 1131, 581, 2942, 543, 952, 1312, 616, 2318, 267, 678, 1131, 8263, 513, 2318, 1871, 780, 263, 643, 264, 476, 1109, 763, 1079, 3515, 540, 9695, 14626, 728, 1775, 4318, 269, 1831, 9838, 950, 678, 815, 1107, 272, 610, 476, 272, 610, 538, 824, 1109, 6919, 267, 972, 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 ]
[ 5904, 267, 16389, 3092, 267, 6639, 838, 1177, 985, 799, 666, 1569, 1344, 538, 513, 795, 858, 344, 563, 9989, 519, 3635, 540, 519, 3557, 779, 6392, 538, 1327, 6362, 909, 513, 1268, 585, 8292, 646, 16957, 569, 1500, 593, 1514, 2923, 3100, 547, 1448, 547, 513, 4947, 1065, 4809, 2268, 5497, 547, 16401, 519, 1863, 4633, 799, 6818, 593, 1514, 2923, 286, 7225, 3101, 689, 519, 8292, 540, 1762, 1004, 593, 2228, 1514, 5121, 267, 621, 5526, 789, 1745, 3768, 340, 569, 18594, 1819, 543, 602, 741, 5191, 540, 4633, 27361, 3842, 1514, 2923, 1631, 5673, 593, 519, 786, 540, 513, 16339, 5328, 7245, 269, 5808, 546, 732, 2303, 602, 519, 561, 1662, 540, 519, 1876, 1223, 581, 4547, 1524, 593, 519, 1394, 540, 513, 10404, 693, 1022, 4090, 2336, 296, 1623, 12949, 1047, 609, 2228, 1514, 2923, 3755, 543, 3858, 602, 741, 5191, 540, 4633, 11129, 711, 547, 581, 705, 27554, 610, 32585, 693, 519, 627, 574, 543, 16681, 540, 519, 3557, 17320, 17922, 269, 1717, 267, 594, 1616, 547, 2303, 602, 938, 5191, 540, 4633, 538, 713, 8468, 814, 1629, 7394, 2213, 721, 543, 547, 513, 1804, 6708, 1500, 721, 2192, 30185, 563, 5591, 2463, 568, 6976, 547, 519, 4666, 269, 1215, 1082, 2053, 723, 649, 2938, 2661, 11052, 540, 519, 7525, 21987, 540, 22266, 543, 11375, 636, 2033, 7972, 286, 24436, 540, 21736, 4703, 540, 4666, 1453, 616, 726, 770, 1229, 2066, 2228, 1514, 5121, 609, 1100, 2543, 547, 519, 1249, 972, 949, 581, 513, 1762, 24107, 267, 513, 649, 9429, 3993, 610, 1175, 3274, 513, 15061, 581, 516, 8491, 1920, 269, 4658, 946, 741, 11436, 547, 3381, 4357, 543, 2620, 7215, 540, 28194, 676, 930, 2043, 269, 1703, 568, 11613, 1100, 2463, 585, 7834, 1022, 811, 2336, 2467, 568, 513, 23329, 540, 1344, 609, 2228, 1514, 5121, 855, 513, 2603, 540, 7301, 1344, 3362, 3587, 11307, 574, 2213, 676, 8313, 269, 4658, 1210, 7301, 6589, 270, 1211, 885, 616, 4749, 7895, 323, 1782, 6013, 267, 7961, 340, 754, 3996, 543, 3368, 18408, 609, 513, 3677, 1857, 561, 6260, 621, 909, 267, 865, 547, 3717, 267, 609, 1100, 1483, 1797, 540, 4152, 519, 2357, 13369, 610, 5168, 540, 1018, 568, 1373, 7150, 563, 296, 3314, 513, 5048, 799, 729, 5063, 3838, 10838, 519, 3677, 1857, 7282, 606, 32574, 538, 5800, 6361, 4149, 335, 664, 269, 634, 3003, 2197, 5612, 4682, 883, 11784, 7154, 543, 972, 729, 536, 659, 2559, 531, 593, 519, 9897, 585, 1004, 5275, 547, 1205, 856, 540, 519, 3854, 2749, 563, 5278, 1522, 2161, 602, 594, 993, 11207, 17399, 656, 540, 519, 1434, 1919, 799, 616, 3838, 3842, 2228, 1514, 13033, 543, 922, 3702, 550, 1434, 2360, 269, 769, 3210, 267, 519, 2243, 547, 2015, 568, 2436, 519, 1434, 2164, 1131, 711, 723, 849, 1044, 6913, 6382, 563, 2691, 835, 5654, 693, 8292, 32338, 908, 689, 968, 23950, 15967, 330, 8759, 892, 543, 1866, 630, 3369, 558, 594, 786, 711, 2012, 585, 13390, 1081, 602, 741, 2228, 9163, 616, 538, 1249, 741, 1483, 4408, 1070, 621, 568, 10423, 602, 713, 1826, 540, 5191, 540, 4633, 814, 27838, 606, 5337, 984, 548, 7848, 540, 10168, 267, 23998, 543, 25848, 523, 640, 269, 23267, 896, 1100, 1642, 4288, 269, 1284, 616, 711, 538, 513, 1434, 1747, 607, 513, 2197, 563, 296, 798, 711, 2303, 585, 835, 4090, 602, 972, 1058, 581, 1022, 3665, 3210, 543, 5924, 17062, 2268, 24773, 5109, 1004, 779, 2924, 547, 3717, 11884, 593, 2228, 4609, 269, 6270, 513, 2268, 949, 693, 1022, 4090, 581, 9292, 3072, 998, 519, 22694, 1155, 609, 513, 2241, 5354, 563, 2171, 1058, 267, 2705, 267, 3635, 1416, 538, 1018, 649, 2161, 543, 798, 3842, 2228, 1514, 5121, 15029, 649, 3136, 713, 7521, 563, 27165, 8292, 11540, 593, 713, 3896, 616, 519, 6852, 5784, 543, 8369, 540, 519, 6085, 5856, 543, 616, 711, 11347, 540, 26851, 9012, 17290, 610, 922, 5234, 563, 10817, 731, 1014, 9012, 17290, 24693, 1100, 15668, 543, 786, 711, 581, 4371, 18177, 585, 3593, 8292, 563, 10817, 731, 1014, 9012, 17290, 14425, 519, 1318, 547, 4894, 267, 547, 12575, 610, 547, 524, 16428, 1022, 8292, 563, 12179, 1543, 799, 568, 2808, 5667, 340, 3386, 267, 796, 32016, 610, 18086, 267, 2882, 2123, 3877, 267, 6994, 2478, 610, 8992, 2472, 267, 2533, 610, 7270, 610, 28197, 3105, 8292, 786, 581, 6569, 563, 27165, 12632, 10805, 998, 16995, 1514, 2923, 6589, 949, 581, 25216, 1510, 5469, 269, 0, 3528, 9400, 30129, 16737, 12789, 563, 4002, 519, 12784, 540, 4873, 476, 1839, 267, 476, 5908, 278, 267, 606, 936, 12741, 532, 4222, 540, 13961, 26919, 543, 4258, 344, 26413, 12075, 2656, 3728, 2989, 513, 5260, 720, 593, 16435, 4381, 10353, 547, 3339, 6723, 28226, 595, 13831, 779, 10627, 30119, 267, 1210, 519, 798, 15701, 7980, 540, 519, 772, 2529, 269, 476, 278, 628, 595, 10052, 787, 547, 513, 1507, 14629, 6772, 8504, 519, 9741, 645, 662, 1941, 5211, 267, 519, 1747, 595, 13831, 543, 1010, 9038, 12703, 569, 25517, 741, 24123, 3803, 1796, 563, 3383, 568, 2469, 519, 1612, 762, 540, 519, 4655, 540, 519, 9741, 645, 662, 1941, 267, 513, 14810, 10419, 18050, 543, 22541, 585, 936, 513, 4627, 1296, 269, 5168, 2685, 267, 1256, 1498, 267, 834, 290, 13831, 779, 3803, 5776, 257, 1031, 547, 581, 9444, 519, 3803, 540, 519, 28530, 6862, 513, 1796, 563, 8794, 5969, 6316, 543, 2757, 15456, 2093, 267, 6404, 609, 8978, 5638, 543, 4095, 2363, 1168, 5893, 22440, 267, 9400, 30129, 16737, 267, 12789, 269, 12667, 569, 4562, 904, 713, 4655, 538, 8748, 2460, 269, 3842, 4439, 7410, 267, 6170, 7047, 5090, 2471, 267, 543, 1114, 5958, 1344, 267, 16737, 14439, 22617, 548, 7158, 543, 13475, 26462, 5443, 543, 12075, 1472, 519, 11135, 7615, 269, 2871, 3660, 998, 519, 6561, 18284, 938, 10264, 267, 543, 6217, 519, 19497, 14406, 4095, 8941, 267, 16737, 796, 792, 2195, 10207, 540, 11784, 543, 13946, 538, 543, 267, 5555, 267, 513, 2239, 540, 519, 595, 13831, 4655, 5266, 9867, 689, 519, 14603, 2065, 2010, 540, 3140, 2250, 269, 538, 5329, 609, 519, 5856, 267, 519, 476, 276, 4213, 540, 519, 476, 278, 628, 595, 10052, 787, 9411, 519, 535, 2001, 538, 2178, 1931, 267, 1739, 20982, 2093, 543, 6029, 28365, 3666, 269, 898, 729, 2899, 519, 9670, 30477, 1674, 540, 713, 9322, 602, 4547, 593, 519, 7980, 685, 14710, 269, 519, 9133, 3893, 1934, 3728, 267, 1510, 5469, 267, 543, 21246, 958, 8015, 9810, 543, 771, 6783, 269, 16329, 1670, 20209, 1878, 2769, 602, 972, 814, 1044, 1100, 1500, 909, 938, 8186, 1085, 4428, 1782, 609, 543, 2370, 3595, 1301, 4187, 269, 634, 3803, 2695, 5417, 625, 547, 581, 7166, 1185, 32357, 689, 595, 13831, 10830, 563, 5649, 6732, 610, 8281, 26337, 267, 3778, 267, 543, 595, 13831, 779, 7831, 11135, 281, 634, 9741, 8262, 24125, 1234, 7721, 600, 1441, 7300, 454, 16032, 5065, 7819, 2090, 2835, 454, 288, 6093, 8305, 9189, 5111, 1977, 12075, 568, 602, 585, 7366, 540, 1296, 789, 5030, 538, 588, 1092, 545, 6677, 867, 609, 2470, 538, 513, 29814, 729, 339, 14657, 602, 7283, 24240, 2394, 5555, 552, 340, 17091, 269, 744, 1067, 595, 269, 26791, 1031, 547, 581, 835, 540, 1082, 1101, 10236, 5505, 547, 11760, 602, 2199, 22988, 1500, 2101, 1198, 2429, 3833, 513, 2603, 540, 5054, 563, 10527, 865, 1454, 649, 786, 6999, 585, 568, 602, 649, 2811, 22950, 337, 1078, 8308, 269, 9232, 1282, 713, 25195, 267, 22255, 648, 3223, 21983, 580, 6874, 984, 5362, 19156, 835, 540, 1082, 2101, 6927, 1369, 519, 14745, 540, 16971, 9082, 3842, 1875, 5025, 4011, 580, 10904, 269, 6348, 5025, 4011, 580, 1400, 3425, 2356, 3111, 547, 5660, 519, 22406, 3099, 267, 3818, 13109, 267, 543, 3001, 9163, 540, 16971, 3425, 563, 1607, 568, 519, 17680, 6137, 9661, 540, 519, 3803, 1796, 540, 6205, 17722, 14332, 956, 540, 519, 19529, 600, 879, 8615, 31180, 12075, 540, 7147, 269, 6307, 1548, 2917, 22548, 651, 4559, 713, 1650, 10353, 547, 519, 7088, 344, 1686, 540, 17454, 4211, 515, 28373, 5336, 1410, 4618, 1920, 538, 2038, 13524, 10601, 7147, 269, 634, 19529, 600, 879, 8615, 4258, 6593, 525, 689, 2324, 4826, 693, 519, 17906, 5211, 723, 1044, 5781, 2604, 323, 547, 882, 11229, 1700, 14140, 547, 16713, 267, 1287, 547, 23916, 267, 543, 5555, 547, 7147, 563, 7628, 713, 21722, 1451, 540, 8474, 538, 7810, 28130, 543, 7013, 21896, 734, 8967, 664, 781, 1533, 540, 2372, 17010, 734, 306, 615, 7773, 21563, 656, 13187, 602, 519, 1292, 2596, 2450, 540, 8474, 1031, 547, 581, 10350, 543, 519, 10137, 540, 11440, 4222, 269, 21563, 656, 6920, 602, 20665, 3109, 3061, 1161, 723, 1044, 13654, 547, 31303, 10601, 10424, 6811, 693, 519, 17113, 543, 3693, 531, 547, 519, 1505, 540, 5053, 17091, 563, 268, 700, 18235, 9177, 267, 2622, 19004, 454, 268, 834, 2171, 3657, 28527, 5851, 256, 9899, 3115, 27074, 566, 543, 519, 26198, 540, 4563, 20584, 8836, 30151, 454, 268, 7111, 4892, 543, 519, 5113, 281, 21126, 593, 519, 26954, 4095, 454, 268, 589, 12660, 542, 547, 519, 28668, 540, 1977, 12075, 454, 15761, 571, 9623, 585, 26337, 267, 3778, 267, 543, 595, 13831, 779, 7831, 11135, 281, 634, 9741, 8262, 24125, 1234, 7721, 600, 1441, 454, 1103, 519, 1292, 267, 4095, 2363, 1168, 5893, 6589, 616, 11673, 540, 8396, 2623, 1282, 519, 4339, 1765, 338, 1245, 1512, 543, 4095, 7567, 269, 9717, 513, 4070, 6508, 689, 1570, 3788, 21235, 4111, 1043, 998, 8396, 9781, 543, 2409, 267, 621, 568, 538, 1082, 2665, 2009, 547, 6474, 5615, 6444, 9125, 10999, 609, 1346, 4330, 676, 12075, 269, 7843, 1602, 531, 267, 8901, 267, 543, 8965, 2042, 602, 616, 15054, 676, 13112, 2456, 538, 4095, 6589, 543, 602, 1476, 895, 3140, 1382, 616, 15186, 4389, 269, 2290, 824, 1382, 28627, 5702, 1644, 547, 519, 30477, 1674, 3390, 11652, 8754, 519, 7242, 28934, 17709, 540, 2446, 1934, 563, 303, 2720, 4240, 676, 12075, 267, 519, 7708, 641, 619, 26545, 16940, 2066, 519, 5757, 538, 10539, 543, 4524, 547, 519, 1025, 32332, 1657, 269, 2368, 476, 1789, 7980, 5747, 1282, 519, 2212, 14075, 8184, 267, 543, 538, 519, 10539, 267, 811, 982, 513, 18797, 2367, 1336, 2933, 2451, 3297, 267, 609, 1100, 3903, 855, 547, 12404, 538, 519, 4104, 269, 13536, 602, 10543, 891, 2269, 1375, 6840, 8678, 741, 635, 10232, 267, 14393, 1529, 3585, 1818, 741, 1259, 547, 519, 11412, 334, 5174, 550, 8696, 25071, 269, 3767, 3459, 1018, 568, 1634, 2221, 607, 11412, 334, 781, 14629, 9008, 4339, 269, 634, 12625, 540, 11412, 334, 781, 695, 2586, 4971, 593, 519, 1025, 32332, 14626, 3660, 609, 519, 1935, 540, 28564, 8696, 781, 10627, 30119, 267, 799, 729, 693, 519, 942, 23312, 267, 607, 10288, 267, 5087, 1189, 547, 556, 21860, 595, 13831, 563, 763, 21847, 15841, 2614, 2604, 547, 2061, 2417, 3356, 267, 543, 519, 6241, 4166, 1336, 621, 2556, 547, 18956, 269, 634, 7708, 641, 619, 1427, 571, 1027, 741, 8905, 543, 5555, 19597, 730, 693, 519, 11412, 334, 5174, 550, 8696, 25071, 269, 1635, 1631, 519, 595, 13831, 6370, 1185, 11943, 269, 476, 1789, 1547, 14956, 2287, 1306, 12075, 11303, 519, 5916, 11412, 334, 5174, 550, 8696, 4971, 267, 789, 21947, 513, 26558, 1176, 3964, 8878, 15943, 269, 1306, 621, 5828, 856, 267, 519, 7708, 641, 619, 1185, 6074, 513, 1219, 839, 1043, 2990, 267, 855, 1454, 540, 519, 15943, 2482, 2864, 21354, 6534, 547, 10546, 3595, 269, 0, 2237, 6145, 1411, 28423, 1923, 12844, 22448, 2983, 534, 781, 28161, 513, 7991, 454, 2767, 269, 1015, 269, 1001, 276, 5788, 23985, 2501, 936, 1034, 1004, 950, 789, 1376, 1603, 269, 1358, 2328, 538, 513, 1114, 1893, 982, 789, 8910, 946, 952, 789, 941, 6158, 547, 513, 3659, 269, 634, 454, 26594, 31876, 281, 3503, 6145, 1411, 28423, 267, 3115, 13024, 4024, 19415, 454, 10287, 891, 1614, 4388, 952, 596, 2328, 547, 8300, 267, 22321, 267, 610, 1616, 547, 5693, 1205, 707, 1448, 2066, 269, 5213, 1405, 2328, 899, 596, 3717, 563, 1015, 9669, 2201, 1215, 547, 3503, 22062, 14260, 1923, 654, 31813, 454, 4905, 269, 6734, 269, 1001, 276, 5788, 11473, 11251, 5788, 769, 713, 2027, 6881, 267, 594, 993, 2469, 547, 2911, 827, 875, 547, 1257, 513, 8004, 596, 899, 269, 594, 6415, 2469, 547, 1397, 596, 1483, 1158, 1806, 689, 1257, 6835, 594, 4312, 1185, 454, 1692, 1677, 7956, 589, 21756, 1411, 6145, 630, 4614, 531, 891, 1257, 1806, 454, 736, 269, 1015, 269, 1001, 278, 5788 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1477, 4449, 3546, 18545, 3719, 2023, 11749, 815, 630, 842, 6600, 1009, 300, 20687, 314, 5392, 281, 2004, 8079, 910, 476, 272, 264, 1948, 7617, 7735, 519, 18545, 8359, 1477, 4449, 3546, 18545, 4131, 614, 815, 1101, 300, 20687, 314, 1626, 281, 1704, 316, 1948, 1432, 3014, 1871, 519, 824, 6345, 568, 630, 311, 610, 744, 3418, 4449, 3546, 18545, 31282, 263, 31463, 9426, 3719, 2023, 11749, 267, 18545, 4131, 614, 264, 1948, 305, 12584, 519, 18545, 31282, 1599, 609, 741, 11378, 1477, 4449, 3546, 6060, 13425, 518, 3890, 1948, 10267, 4242, 952, 519, 17837, 1847, 1500, 873, 3094, 1477, 4449, 3546, 707, 31282, 314, 271, 316, 815, 6936, 1948, 300, 1389, 621, 707, 2490, 1477, 4449, 3546, 6835, 815, 524, 4877, 3326, 14052, 13376, 8640, 7817, 5591, 2652, 476, 272, 6769, 23351, 952, 6600, 1009, 300, 20687, 314, 3607, 281, 4391, 316, 2652, 1412, 271, 262, 2567, 476, 1948, 10267, 4242, 952, 2063, 5048, 4607, 729, 689, 18545, 267, 543, 952, 865, 267, 8255, 519, 18545, 4604, 3014, 10311, 1477, 4449, 3546, 18545, 3719, 2023, 11749, 815, 630, 842, 6600, 1009, 300, 20687, 314, 5392, 281, 2004, 8079, 268, 272, 264, 1948, 7617, 7735, 519, 18545, 8359, 1477, 4449, 3546, 18545, 4131, 614, 815, 1101, 300, 20687, 314, 1626, 281, 1704, 316, 1948, 1432, 3014, 1871, 519, 824, 6345, 568, 630, 311, 610, 744, 3418, 4449, 3546, 18545, 31282, 263, 31463, 9426, 3719, 2023, 11749, 267, 18545, 4131, 614, 264, 1948, 305, 12584, 519, 18545, 31282, 1599, 609, 741, 11378, 1477, 4449, 3546, 6060, 13425, 518, 3890, 1948, 10267, 4242, 952, 519, 17837, 1847, 1500, 873, 3094, 1477, 4449, 3546, 707, 31282, 314, 271, 316, 815, 6936, 1948, 300, 1389, 621, 707, 2490, 1477, 4449, 3546, 6835, 815, 524, 4877, 3326, 14052, 4449, 567, 1477, 3546, 3116, 281, 1948, 2252, 713, 8255, 267, 621, 1797, 621, 781, 707, 2490, 1477, 7386, 1820, 12169, 712, 31282, 264, 1948, 5719, 30132, 1477, 7386, 524, 4732, 754, 8548, 20687, 2891, 306, 21715, 5058, 744, 966, 3201, 16604, 11123, 645, 7473, 307, 2177, 834, 1341, 1193, 9230, 4289, 19368, 1341, 476, 272, 30727, 1948, 306, 1742, 707, 1847, 547, 519, 7746, 1477, 7386, 707, 31282, 314, 271, 316, 815, 8771, 1948, 300, 1389, 621, 711, 707, 2490, 5897, 7386, 6835, 815, 524, 4877, 3326, 3890, 1948, 24836, 2125, 782, 6835, 2366, 547, 519, 7817, 689, 519, 7746, 1477, 7386, 3207, 263, 274, 264, 1948, 294, 1161, 519, 7746, 942, 547, 6494, 513, 5048, 1394, 1038, 1477, 7386, 6835, 815, 524, 4877, 3326, 3890, 1948, 290, 548, 1513, 6835, 1477, 7386, 1820, 9852, 612, 1137, 264, 1948, 5719, 30132, 1477, 4449, 24541, 7386, 7735, 14277, 3667, 19312, 815, 834, 302, 257, 1948, 14106, 1302, 10311, 519, 4604, 547, 519, 6345, 609, 741, 1871, 1477, 7386, 16181, 8266, 314, 4289, 19368, 316, 815, 834, 302, 257, 1948, 10000, 30098, 519, 3014, 3094, 2638, 1592, 609, 741, 1871, 1477, 7386, 6060, 13425, 518, 3890, 1948, 10267, 4242, 952, 707, 1847, 1500, 596, 3094, 519, 3014, 1477, 8587, 1477, 825, 1219, 6060, 13425, 518, 263, 2567, 1948, 10267, 4242, 782, 2009, 10659, 585, 513, 3094, 1477, 1038, 5727, 10267, 4242, 782, 2009, 10659, 585, 513, 3094, 2783, 267, 7258, 21130, 519, 6060, 6003, 11617, 547, 519, 6345, 18851, 1477, 1038, 952, 6357, 18636, 976, 8266, 314, 271, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 272, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 273, 316, 2652, 834, 311, 257, 610, 1477, 17264, 16181, 8266, 314, 271, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 275, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 279, 316, 2652, 834, 311, 257, 610, 1477, 17264, 16181, 8266, 314, 271, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 274, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 277, 316, 2652, 834, 311, 257, 610, 1477, 17264, 16181, 8266, 314, 274, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 275, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 276, 316, 2652, 834, 311, 257, 610, 1477, 17264, 16181, 8266, 314, 277, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 278, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 279, 316, 2652, 834, 311, 257, 610, 1477, 17264, 16181, 8266, 314, 273, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 275, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 277, 316, 2652, 834, 311, 257, 610, 1477, 17264, 16181, 8266, 314, 272, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 275, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 278, 316, 2652, 834, 311, 257, 610, 1477, 17264, 16181, 8266, 314, 273, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 276, 316, 2652, 834, 311, 257, 543, 16181, 8266, 314, 279, 316, 2652, 834, 311, 257, 476, 8029, 17264, 5048, 7901, 20481, 16769, 2891, 15578, 654, 2562, 301, 2207, 4959, 2473, 14824, 303, 6369, 312, 2207, 2473, 654, 2177, 5990, 717, 28719, 14744, 17264, 1535, 14483, 30360, 8266, 314, 271, 316, 815, 1535, 14483, 30360, 8266, 314, 271, 316, 1341, 476, 272, 1948, 294, 1161, 513, 1448, 547, 519, 6345, 4730, 609, 519, 1412, 311, 262, 1871, 1477, 17264, 2312, 32317, 3890, 1948, 4910, 1115, 519, 4604, 1477, 17264, 1535, 14483, 30360, 15630, 2891, 311, 781, 24143, 281, 567, 834, 1341, 1193, 3287, 14483, 30360, 8266, 314, 271, 316, 4297, 1948, 10000, 30098, 519, 1412, 311, 262, 6060, 6003, 1477, 17264, 4487, 269, 5976, 9526, 3890, 1948, 300, 1389, 519, 3014, 4604, 15865, 865, 6345, 666, 1405, 9337, 1022, 4604, 2418, 543, 5732, 2736, 519, 3014, 1247, 3843, 547, 3313, 3014, 1826, 1477, 17264, 2780, 7775, 9590, 3890, 1948, 305, 12584, 519, 6885, 799, 11887, 2436, 519, 6345, 16858, 547, 1404, 1996, 519, 4351, 3642, 2780, 610, 1776, 6345, 1477, 23526, 1477, 1038, 8640, 6357, 18636, 976, 8266, 314, 271, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 272, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 273, 316, 2652, 834, 302, 257, 610, 1477, 2018, 16181, 8266, 314, 271, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 275, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 279, 316, 2652, 834, 302, 257, 610, 1477, 2018, 16181, 8266, 314, 271, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 274, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 277, 316, 2652, 834, 302, 257, 610, 1477, 2018, 16181, 8266, 314, 274, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 275, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 276, 316, 2652, 834, 302, 257, 610, 1477, 2018, 16181, 8266, 314, 277, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 278, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 279, 316, 2652, 834, 302, 257, 610, 1477, 2018, 16181, 8266, 314, 273, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 275, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 277, 316, 2652, 834, 302, 257, 610, 1477, 2018, 16181, 8266, 314, 272, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 275, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 278, 316, 2652, 834, 302, 257, 610, 1477, 2018, 16181, 8266, 314, 273, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 276, 316, 2652, 834, 302, 257, 543, 16181, 8266, 314, 279, 316, 2652, 834, 302, 257, 476, 8029, 2018, 5048, 7901, 20481, 16769, 2891, 15578, 654, 2562, 301, 2207, 4959, 744, 14824, 303, 6369, 312, 2207, 744, 654, 2177, 5990, 717, 28719, 14744, 2018, 522, 14483, 30360, 8266, 314, 271, 316, 815, 522, 14483, 30360, 8266, 314, 271, 316, 1341, 476, 272, 1948, 294, 1161, 513, 1448, 547, 519, 6345, 4730, 609, 519, 1412, 302, 262, 1871, 1477, 2018, 2312, 32317, 3890, 1948, 4910, 1115, 519, 4604, 1477, 2018, 522, 14483, 30360, 15630, 2891, 302, 781, 24143, 281, 567, 834, 1341, 1193, 263, 334, 14483, 30360, 8266, 314, 271, 316, 4297, 1948, 10000, 30098, 519, 1412, 302, 262, 6060, 6003, 1477, 2018, 4487, 269, 5976, 9526, 3890, 1948, 300, 1389, 519, 3014, 4604, 15865, 865, 6345, 666, 1405, 9337, 1022, 4604, 2418, 543, 5732, 2736, 519, 3014, 1247, 3843, 547, 3313, 3014, 1826, 1477, 2018, 2780, 7775, 9590, 3890, 1948, 305, 12584, 519, 6885, 799, 11887, 2436, 519, 6345, 16858, 547, 1404, 1996, 519, 4351, 3642, 2780, 610, 1776, 6345, 1477, 23526, 1477, 1038, 8640, 9230, 8117, 27971, 8266, 314, 271, 316, 2652, 834, 302, 257, 610, 16181, 8266, 314, 271, 316, 2652, 834, 311, 8442, 543, 630, 8117, 27971, 8266, 314, 272, 316, 2652, 834, 302, 257, 610, 1477, 17264, 16181, 8266, 314, 272, 316, 2652, 834, 311, 8442, 543, 630, 8117, 27971, 8266, 314, 273, 316, 2652, 834, 302, 257, 610, 16181, 8266, 314, 273, 316, 2652, 834, 311, 8442, 543, 1477, 17264, 630, 8117, 27971, 8266, 314, 274, 316, 2652, 834, 302, 257, 610, 16181, 8266, 314, 274, 316, 2652, 834, 311, 8442, 543, 630, 8117, 27971, 8266, 314, 275, 316, 2652, 834, 302, 257, 610, 1477, 17264, 16181, 8266, 314, 275, 316, 2652, 834, 311, 8442, 543, 630, 8117, 27971, 8266, 314, 276, 316, 2652, 834, 302, 257, 610, 16181, 8266, 314, 276, 316, 2652, 834, 311, 8442, 543, 1477, 17264, 630, 8117, 27971, 8266, 314, 277, 316, 2652, 834, 302, 257, 610, 16181, 8266, 314, 277, 316, 2652, 834, 311, 8442, 543, 630, 8117, 27971, 8266, 314, 278, 316, 2652, 834, 302, 257, 610, 1477, 17264, 16181, 8266, 314, 278, 316, 2652, 834, 311, 8442, 543, 630, 8117, 27971, 8266, 314, 279, 316, 2652, 834, 302, 257, 610, 16181, 8266, 314, 279, 316, 2652, 834, 311, 8442, 476, 8029, 17264, 5048, 7901, 20481, 16769, 2891, 301, 15477, 7495, 312, 654, 27486, 14824, 15578, 717, 28719, 4959, 589, 570, 23966, 14744, 17264, 2312, 32317, 3890, 1948, 4910, 1115, 519, 4604, 1477, 17264, 4487, 269, 5976, 9526, 3890, 1948, 300, 1389, 519, 3014, 4604, 15865, 865, 6345, 666, 1405, 9337, 1022, 4604, 2418, 543, 5732, 2736, 519, 3014, 1247, 3843, 547, 3313, 3014, 1826, 1477, 17264, 2780, 7775, 9590, 3890, 1948, 305, 12584, 519, 6885, 799, 11887, 2436, 519, 6345, 16858, 547, 1404, 1996, 519, 4351, 3642, 2780, 610, 1776, 6345, 5897, 1038, 3116, 6769, 2018, 2132, 7183, 1948, 2252, 3094, 2175, 10093, 1405, 1044, 1558, 267, 7183, 1871, 568, 5293, 909, 547, 581, 1031, 538, 4505, 3252, 5897, 825, 1219, 2312, 32317, 28399, 1038, 5727, 4910, 1115, 519, 4604, 547, 513, 9949, 1533, 538, 519, 1592, 543, 519, 4890, 7735, 1257, 18851, 1477, 1038, 16181, 8266, 314, 271, 316, 815, 834, 834, 1948, 4910, 1115, 1142, 1871, 538, 519, 3014, 3094, 2638, 1592, 1394, 547, 4986, 865, 519, 3014, 666, 19268, 1477, 1038, 16181, 8266, 314, 272, 316, 815, 834, 834, 1948, 910, 589, 585, 8520, 1223, 723, 4440, 1044, 1031, 1934, 267, 855, 942, 7889, 1080, 1175, 1500, 621, 4443, 547, 1689, 1142, 1367, 1592, 1871, 1477, 1038, 16181, 8266, 314, 273, 316, 815, 834, 834, 1948, 1403, 972, 941, 811, 2418, 538, 519, 1592, 267, 513, 585, 8520, 1131, 723, 1044, 1031, 855, 1813, 547, 519, 1507, 267, 6378, 3259, 540, 519, 1592, 713, 1935, 729, 3144, 1477, 1038, 16181, 8266, 314, 274, 316, 815, 834, 834, 1477, 1038, 16181, 8266, 314, 275, 316, 815, 834, 834, 1477, 1038, 16181, 8266, 314, 276, 316, 815, 834, 834, 1477, 1038, 16181, 8266, 314, 277, 316, 815, 834, 834, 1477, 1038, 16181, 8266, 314, 278, 316, 815, 834, 834, 1477, 1038, 16181, 8266, 314, 279, 316, 815, 834, 834, 1477, 1038, 7735, 272, 14277, 3667, 19312, 815, 834, 834, 1948, 4910, 1115, 1142, 3308, 7735, 1871, 1394, 547, 4986, 865, 519, 3014, 666, 19268, 1477, 1038, 7735, 273, 14277, 3667, 19312, 815, 834, 834, 1948, 27745, 333, 1405, 4137, 856, 875, 547, 16289, 1142, 7735, 1297, 547, 519, 2262, 1412, 31728, 3299, 552, 3052, 269, 7735, 266, 272, 266, 14277, 3667, 257, 3910, 3092, 1547, 865, 1142, 7735, 568, 16924, 19268, 1477, 1038, 7735, 274, 14277, 3667, 19312, 815, 834, 834, 1477, 1038, 7735, 275, 14277, 3667, 19312, 815, 834, 834, 1477, 1038, 7735, 276, 14277, 3667, 19312, 815, 834, 834, 1477, 1038, 7735, 277, 14277, 3667, 19312, 815, 834, 834, 1477, 1038, 7735, 278, 14277, 3667, 19312, 815, 834, 834, 1477, 1038, 7735, 279, 14277, 3667, 19312, 815, 834, 834, 1477, 1038, 7735, 280, 14277, 3667, 19312 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 27387, 281, 3487, 658, 8454, 543, 513, 1187, 5652, 7533, 692, 272, 269, 12361, 3487, 658, 8454, 543, 513, 1187, 5652, 7533, 692, 27309, 3582, 1948, 272, 1384, 22428, 649, 723, 513, 9864, 6824, 607, 5205, 1384, 7445, 6234, 1422, 2765, 31505, 343, 317, 273, 266, 289, 343, 266, 290, 2410, 263, 291, 343, 266, 292, 7565, 293, 343, 266, 294, 7565, 295, 343, 266, 296, 264, 10592, 4692, 649, 2736, 602, 909, 883, 9864, 8454, 899, 865, 1384, 7445, 6234, 1422, 2765, 346, 297, 2410, 291, 343, 266, 292, 23180, 2765, 346, 298, 2410, 293, 343, 266, 294, 23180, 2765, 346, 299, 2410, 295, 343, 266, 296, 10592, 8489, 589, 32390, 267, 290, 267, 291, 267, 292, 267, 293, 267, 294, 267, 295, 267, 296, 267, 297, 267, 298, 267, 299, 616, 782, 21635, 286, 2107, 1281, 519, 2898, 19362, 540, 519, 3312, 3830, 723, 547, 581, 513, 3586, 2496, 27309, 3582, 1948, 273, 1384, 1692, 538, 519, 1158, 1131, 594, 979, 827, 10128, 519, 1739, 1599, 2496, 7445, 6234, 1422, 842, 21702, 12757, 317, 276, 2410, 324, 28682, 268, 272, 348, 11459, 6911, 12552, 2439, 273, 269, 20323, 17397, 676, 11058, 810, 742, 454, 27309, 3582, 1948, 272, 1384, 22428, 649, 723, 513, 9864, 6824, 607, 5205, 1384, 7445, 6234, 1422, 2765, 31505, 343, 317, 273, 266, 289, 343, 266, 290, 2410, 263, 291, 343, 266, 292, 7565, 293, 343, 266, 294, 7565, 295, 343, 266, 296, 264, 10592, 4692, 649, 2736, 602, 909, 883, 9864, 8454, 899, 865, 1384, 7445, 6234, 1422, 2765, 346, 297, 2410, 291, 343, 266, 292, 23180, 2765, 346, 298, 2410, 293, 343, 266, 294, 23180, 2765, 346, 299, 2410, 295, 343, 266, 296, 10592, 8489, 589, 32390, 267, 290, 267, 291, 267, 292, 267, 293, 267, 294, 267, 295, 267, 296, 267, 297, 267, 298, 267, 299, 616, 782, 21635, 286, 2107, 1281, 519, 2898, 19362, 540, 519, 3312, 3830, 723, 547, 581, 513, 3586, 888, 13433, 692, 27309, 3582, 1948, 273, 1384, 1692, 538, 519, 1158, 1131, 594, 979, 827, 10128, 519, 1739, 1599, 2496, 7445, 6234, 1422, 842, 21702, 12757, 317, 276, 2410, 324, 28682, 268, 272, 348, 11459, 6911, 12552, 2336, 328, 8969, 713, 7533, 814, 513, 6806, 27322, 3070, 269, 596, 666, 7227, 547, 1294, 952, 918, 10961, 19981, 2501, 909, 609, 4376, 269, 610, 6148, 4569, 13231, 666, 1397, 596, 875, 547, 946, 3126, 547, 4194, 621, 692, 274, 269, 28982, 10484, 23192, 17397, 676, 11058, 810, 742, 454, 27309, 3582, 1948, 272, 1384, 22428, 649, 723, 513, 9864, 6824, 607, 5205, 1384, 7445, 6234, 1422, 2765, 31505, 343, 317, 273, 266, 289, 343, 266, 290, 2410, 263, 291, 343, 266, 292, 7565, 293, 343, 266, 294, 7565, 295, 343, 266, 296, 264, 10592, 4692, 649, 2736, 602, 909, 883, 9864, 8454, 899, 865, 1384, 7445, 6234, 1422, 2765, 346, 297, 2410, 291, 343, 266, 292, 23180, 2765, 346, 298, 2410, 293, 343, 266, 294, 23180, 2765, 346, 299, 2410, 295, 343, 266, 296, 10592, 8489, 589, 32390, 267, 290, 267, 291, 267, 292, 267, 293, 267, 294, 267, 295, 267, 296, 267, 297, 267, 298, 267, 299, 616, 782, 21635, 286, 2107, 1281, 519, 2898, 19362, 540, 519, 3312, 3830, 723, 547, 581, 513, 3586, 888, 8133, 596, 666, 454, 2026, 4166, 607, 519, 4110, 540, 519, 19362, 3085, 1405, 9765, 519, 14009, 781, 835, 9745, 317, 692, 275, 269, 634, 7533, 2306, 2631, 1152, 952, 4399, 6234, 1535, 22174, 314, 271, 12101, 13727, 1040, 6911, 8002, 1302, 267, 519, 7533, 666, 581, 8214, 1194, 676, 1210, 3126, 780, 276, 269, 20323, 17397, 676, 808, 515, 341, 517, 454, 13433, 454, 10468, 6737, 780, 328, 8969, 713, 7533, 814, 513, 6806, 27322, 3070, 269, 596, 666, 7227, 547, 1294, 952, 918, 10961, 19981, 2501, 909, 609, 4376, 269, 610, 6148, 4569, 13231, 666, 1397, 596, 875, 547, 946, 3126, 547, 4194, 621, 454, 2005, 781, 2965, 519, 22543, 9548, 1106, 540, 513, 17386, 7533, 3144, 689, 835, 540, 4569, 13231, 781, 2042, 734, 8117, 594, 4769, 1405, 1616, 547, 28417, 1010, 8142, 676, 6998, 1164, 17469, 7400, 2055, 780, 1432, 798, 596, 1611, 834, 743, 2216, 27322, 3070, 257, 2496, 7445, 6234, 594, 7807, 842, 1422, 2765, 12757, 317, 276, 2410, 324, 28682, 268, 272, 348, 15848, 6911, 7445, 6234, 1535, 1422, 21375, 910, 343, 6911, 7445, 6234, 594, 7807, 842, 1422, 2765, 12757, 317, 276, 2410, 324, 13064, 343, 18511, 272, 348, 15848, 6911, 11372, 17586, 1657, 543, 2630, 676, 4399, 6234, 910, 324, 28682, 259, 23241, 7445, 6234, 594, 7807, 842, 1422, 2765, 24877, 343, 317, 276, 552, 28682, 2410, 324, 28682, 268, 272, 348, 15848, 6911, 1366, 19030, 7445, 6234, 476, 273, 296, 7807, 842, 1422, 2765, 12757, 317, 276, 2410, 324, 28682, 268, 272, 348, 15848, 10954, 842, 1422, 2765, 24877, 343, 317, 276, 552, 28682, 2410, 324, 28682, 268, 272, 348, 15848, 7807, 842, 1422, 2765, 12757, 317, 276, 630, 272, 3887, 28682, 20972, 324, 28682, 268, 272, 13157, 10559, 842, 1535, 317, 276, 15848, 284, 10559, 2765, 12757, 317, 277, 2410, 277, 10592, 11997, 267, 4399, 6234, 594, 284, 10559, 2765, 12757, 317, 277, 2410, 1321, 10592, 3674, 972, 1022, 12161, 7790, 522, 20166, 692, 278, 269, 20323, 17397, 676, 918, 10961, 19981, 454, 8002, 1302, 267, 519, 7533, 666, 581, 8214, 1194, 676, 1210, 3126, 563, 13433, 267, 1775, 4718, 602, 19952, 13718, 279, 269, 20323, 17397, 676, 631, 5622, 692, 3674, 972, 1022, 12161, 7790, 522, 20166, 454, 23192, 17397, 676, 631, 5622, 692, 7445, 6234, 594, 7807, 842, 1422, 2765, 12757, 317, 276, 2410, 324, 28682, 268, 272, 348, 15848, 6911, 7445, 6234, 1535, 1422, 21375, 910, 343, 14204, 2791, 666, 1405, 798, 602, 267, 922, 3498, 1152, 1568, 585, 17386, 29398, 780, 280, 269, 594, 1294, 8206, 901, 568, 9090, 513, 1966, 692, 1015, 269, 20323, 17397, 676, 631, 5622, 454, 296, 1294, 8206, 901, 568, 9090, 513, 1966, 454, 2005, 729, 513, 1130, 5050, 4674, 1498, 692, 1556, 269, 20323, 17397, 676, 11058, 810, 742, 454, 27309, 3582, 1948, 272, 1384, 22428, 649, 723, 513, 9864, 6824, 607, 5205, 1384, 7445, 6234, 1422, 2765, 31505, 343, 317, 273, 266, 289, 343, 266, 290, 2410, 263, 291, 343, 266, 292, 7565, 293, 343, 266, 294, 7565, 295, 343, 266, 296, 264, 10592, 4692, 649, 2736, 602, 909, 883, 9864, 8454, 899, 865, 1384, 7445, 6234, 1422, 2765, 346, 297, 2410, 291, 343, 266, 292, 23180, 2765, 346, 298, 2410, 293, 343, 266, 294, 23180, 2765, 346, 299, 2410, 295, 343, 266, 296, 10592, 8489, 589, 32390, 267, 290, 267, 291, 267, 292, 267, 293, 267, 294, 267, 295, 267, 296, 267, 297, 267, 298, 267, 299, 616, 782, 21635, 286, 2107, 1281, 519, 2898, 19362, 540, 519, 3312, 3830, 723, 547, 581, 513, 3586, 2496, 27309, 3582, 1948, 273, 1384, 1692, 538, 519, 1158, 1131, 594, 979, 827, 10128, 519, 1739, 1599, 2496, 7445, 6234, 1422, 842, 21702, 12757, 317, 276, 2410, 324, 28682, 268, 272, 348, 11459, 6911, 12552, 2336, 10521, 1919, 692, 296, 723, 2760, 2938, 713, 22543, 9548, 7533, 1354, 855, 269, 780, 7445, 6234, 1422, 842, 318, 271, 17353, 13727, 4153, 2765, 346, 340, 3867, 343, 268, 272, 12453, 324, 28682, 268, 272, 348, 11459, 7807, 294, 10397, 3287, 9385, 345, 9508, 3287, 6661, 263, 343, 268, 272, 25631, 315, 8999, 3709, 333, 284, 272, 23685, 13727, 4153, 2765, 346, 272, 2410, 333, 28682, 10592, 531, 1181, 8271, 692, 7445, 6234, 1422, 842, 21702, 12757, 317, 276, 2410, 324, 28682, 268, 272, 348, 11459, 7807, 842, 21702, 12757, 317, 275, 2410, 272, 10954, 2765, 12757, 2410, 273, 256, 23180, 2765, 12757, 317, 273, 2410, 274, 256, 15396, 3267, 315, 2765, 12757, 3867, 333, 268, 272, 12453, 333, 256, 3686, 11459, 6911, 24400, 519, 6111, 693, 799, 596, 6999, 596, 666, 7113, 322, 622, 519, 5377, 547, 513, 798, 762, 2179, 540, 2474, 692, 1321, 269, 20323, 17397, 676, 4569, 13231, 2764, 454, 10521, 1919, 692, 296, 723, 2760, 2938, 713, 22543, 9548, 7533, 1354, 855, 269, 780, 7445, 6234, 1422, 842, 318, 271, 17353, 13727, 4153, 2765, 346, 340, 3867, 343, 268, 272, 12453, 324, 28682, 268, 272, 348, 11459, 7807, 294, 10397, 3287, 9385, 345, 9508, 3287, 6661, 263, 343, 268, 272, 25631, 315, 8999, 3709, 333, 284, 272, 23685, 13727, 4153, 2765, 346, 272, 2410, 333, 28682, 10592, 531, 1181, 8271, 692, 7445, 6234, 1422, 842, 21702, 12757, 317, 276, 2410, 324, 28682, 268, 272, 348, 11459, 7807, 842, 21702, 12757, 317, 275, 2410, 272, 10954, 2765, 12757, 2410, 273, 256, 23180, 2765, 12757, 317, 273, 2410, 274, 256, 15396, 3267, 315, 2765, 12757, 3867, 333, 268, 272, 12453, 333, 256, 3686, 11459, 6911, 24400, 519, 6111, 693, 799, 596, 6999, 596, 666, 7113, 322, 622, 519, 5377, 547, 513, 798, 762, 2179, 540, 2474, 454, 9827, 594, 723, 2938, 713, 2944, 609, 1950, 2079, 1862, 332, 697, 1616, 547, 7227, 713, 835, 856, 585, 570, 15771, 610, 2576, 811, 917, 1194, 326, 762, 538, 602, 2361, 692, 296, 723, 2938, 713, 8237, 883, 1079, 29398, 1862, 663, 596, 2490, 519, 2034, 835, 883, 513, 19846, 660, 3126, 692, 1724, 269, 1284, 666, 2328, 713, 538, 519, 1106, 540, 513, 1135, 2643, 690, 15162, 332, 269, 1411, 723, 4440, 2938, 519, 3126, 269, 4399, 6234, 1422, 8999, 3709, 333, 284, 272, 23685, 13727, 4153, 2765, 346, 345, 3867, 333, 12453, 333, 3867, 320, 32556, 763, 1101, 2165, 568, 1018, 631, 5622, 3357, 909, 609, 1384, 7445, 6234, 1422, 2765, 24877, 272, 2410, 277, 26507, 3867, 277, 15396, 343, 3867, 276, 348, 15238, 263, 272, 3887, 3867, 343, 16585, 10954, 8999, 3709, 333, 284, 272, 23685, 13727, 4153, 2765, 18950, 324, 3867, 343, 16585, 3867, 333, 12453, 333, 3867, 273, 348, 476, 4153, 10383, 346, 276, 343, 3867, 275, 32556, 7445, 6234, 28363, 8999, 3709, 333, 284, 272, 23685, 13727, 4153, 2765, 18950, 324, 3867, 343, 16585, 3867, 333, 12453, 333, 3867, 274, 14990, 10383, 346, 476, 736, 343, 3867, 274, 3686, 10954, 8999, 3709, 333, 284, 272, 23685, 13727, 4153, 2765, 18950, 324, 3867, 343, 16585, 3867, 333, 12453, 333, 3867, 476, 275, 14990, 10383, 346, 2568, 343, 3867, 273, 32556, 7445, 6234, 28363, 8999, 3709, 333, 284, 272, 23685, 13727, 4153, 2765, 18950, 324, 3867, 343, 16585, 3867, 333, 12453, 333, 3867, 276, 14990, 10383, 346, 476, 6344, 343, 23180, 8999, 3709, 333, 284, 272, 23685, 13727, 4153, 2765, 18950, 324, 3867, 343, 16585, 3867, 333, 12453, 333, 3867, 277, 3686, 1422, 10383, 346, 6344, 10592, 8450, 519, 4806, 286, 780, 1691, 269, 20323, 17397, 676, 631, 5622, 692, 7445, 6234, 594, 7807, 842, 1422, 2765, 12757, 317, 276, 2410, 324, 28682, 268, 272, 348, 15848, 6911, 7445, 6234, 1535, 1422, 21375, 910, 343, 6911, 7445, 6234, 594, 7807, 842, 1422, 2765, 12757, 317, 276, 2410, 324, 13064, 343, 18511, 272, 348, 15848, 6911, 11372, 17586, 1657, 543, 2630, 676, 4399, 6234, 910, 324, 28682, 259, 23241, 7445, 6234, 594, 7807, 842, 1422, 2765, 24877, 343, 317, 276, 552, 28682, 2410, 324, 28682, 268, 272, 348, 15848, 6911, 1366, 19030, 7445, 6234, 476, 273, 296, 7807, 842, 1422, 2765, 12757, 317, 276, 2410, 324, 28682, 268, 272, 348, 15848, 10954, 842, 1422, 2765, 24877, 343, 317, 276, 552, 28682, 2410, 324, 28682, 268, 272, 348, 15848, 7807, 842, 1422, 2765, 12757, 317, 276, 630, 272, 3887, 28682, 20972, 324, 28682, 268, 272, 13157, 10559, 842, 1535, 317, 276, 15848, 284, 10559, 2765, 12757, 317, 277, 2410, 277, 10592, 11997, 267, 4399, 6234, 594, 284, 10559, 2765, 12757, 317, 277, 2410, 1321, 10592, 3674, 972, 1022, 12161, 7790, 522, 20166, 692, 296, 1705, 513, 1360, 2147, 12161, 538, 606, 7533, 11540, 538, 2979, 31904, 5063, 269, 1656, 513, 8799, 5467, 24084, 2989, 803, 609, 713, 1383, 607, 547, 1946, 621, 568, 4636, 1384, 23192, 17397, 676, 1183, 9109, 520, 8619, 25901, 454, 763, 1966, 781, 519, 1482, 3364, 602, 781, 4636, 609, 519, 1739, 4661, 780, 7445, 6234, 1422, 842, 476, 273, 343, 317, 274, 15848, 815, 1422, 842, 630, 343, 317, 273, 7565, 476, 273, 343, 15848, 264, 815, 1422, 842, 579, 5918, 815, 1422, 842, 1535, 15848, 815, 1422, 2765, 2715, 343, 317, 273, 2410, 273, 348, 1341, 524, 6911, 763, 8373, 568, 602, 4399, 6234, 1422, 842, 579, 5918, 815, 1422, 2765, 2715 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 3445, 910, 910, 910, 12518, 585, 1234, 268, 5522, 13589, 476, 272, 560, 1299, 476, 273, 526, 13012, 476, 6344, 476, 3199, 910, 910, 910, 476, 1220, 11192, 476, 275, 267, 278, 3199, 476, 273, 267, 26392, 476, 273, 267, 278, 1015, 476, 273, 267, 31816, 476, 273, 267, 31634, 476, 1428, 267, 25851, 11905, 281, 29486, 313, 3198, 302, 7131, 300, 1160, 27760, 6480, 13846, 8779, 540, 808, 520, 5268, 320, 4980, 10474, 630, 308, 2529, 4700, 0, 1320, 14772, 540, 28545, 454, 4517, 531, 7431, 568, 606, 3504, 2244, 14869, 539, 538, 2245, 543, 28112, 15967, 269, 898, 568, 513, 3636, 267, 3819, 2244, 267, 3478, 15911, 543, 811, 11375, 2214, 3386, 607, 835, 12599, 5045, 267, 799, 5555, 5012, 547, 519, 8738, 940, 14924, 269, 4595, 942, 1799, 655, 3645, 267, 519, 2197, 814, 1044, 12199, 676, 22800, 22645, 267, 2870, 513, 22634, 2861, 2528, 602, 31561, 3278, 782, 1919, 1951, 935, 545, 563, 347, 10481, 2762, 543, 8693, 2008, 347, 9824, 580, 542, 543, 9177, 2008, 10481, 2762, 1299, 8693, 454, 4517, 531, 7431, 26328, 519, 5045, 2914, 3480, 10116, 540, 519, 11782, 267, 15198, 5045, 547, 519, 8738, 940, 14924, 269, 898, 568, 606, 25545, 2244, 267, 6140, 5260, 20087, 543, 3983, 4133, 267, 609, 21018, 540, 2620, 666, 344, 976, 543, 6366, 31795, 6244, 8544, 553, 269, 634, 7262, 13272, 568, 3144, 909, 676, 5195, 540, 3950, 1652, 17822, 540, 3638, 3109, 5070, 267, 519, 9456, 10665, 547, 570, 597, 685, 295, 996, 616, 513, 4262, 540, 7381, 6371, 543, 31619, 1027, 15113, 563, 11764, 1067, 538, 3844, 543, 7013, 1656, 531, 7431, 666, 581, 10792, 12602, 267, 1247, 519, 24475, 616, 865, 7646, 602, 789, 616, 18374, 1875, 7721, 11962, 269, 1703, 568, 1360, 2370, 4764, 538, 519, 4099, 540, 519, 2197, 267, 1498, 519, 7262, 23795, 23119, 4749, 689, 1395, 810, 976, 269, 634, 1034, 5906, 4365, 267, 2705, 267, 616, 519, 524, 5407, 15420, 602, 12212, 5066, 909, 689, 519, 8738, 940, 14924, 563, 4407, 20833, 5258, 883, 513, 4627, 1507, 267, 2479, 13346, 11182, 676, 519, 15743, 561, 3581, 267, 519, 2197, 666, 581, 5258, 883, 5216, 3982, 13664, 4525, 912, 268, 7638, 1372, 345, 267, 634, 1390, 5757, 454, 268, 5842, 595, 3757, 657, 267, 634, 31619, 1027, 15113, 454, 268, 22728, 13669, 7431, 267, 634, 3109, 5070, 5032, 454, 268, 667, 1470, 19537, 935, 267, 634, 4279, 4975, 454, 268, 12379, 320, 10162, 14765, 267, 634, 1164, 8544, 320, 454, 268, 2549, 3405, 559, 267, 519, 5260, 20087, 454, 268, 20098, 6970, 518, 267, 519, 666, 344, 976, 454, 268, 6428, 622, 30959, 634, 3983, 4133, 454, 763, 1279, 24331, 543, 30140, 3532, 22645, 1118, 909, 519, 15194, 22634, 540, 519, 4182, 267, 2943, 741, 2338, 616, 26483, 1507, 267, 6140, 1813, 547, 741, 3665, 16857, 640, 543, 11350, 580, 2397, 269, 634, 22900, 7219, 267, 22900, 9799, 543, 22900, 29188, 539, 15217, 1118, 909, 1614, 20453, 540, 519, 2197, 779, 2551, 267, 2523, 538, 519, 7013, 4525, 269, 4107, 666, 10250, 741, 1973, 1467, 18549, 547, 513, 15743, 18459, 779, 1378, 1973, 1467, 267, 543, 1082, 540, 891, 22900, 7219, 2760, 4734, 519, 8513, 540, 519, 15743, 602, 521, 1600, 741, 22871, 563, 24109, 753, 616, 1134, 6719, 538, 519, 7187, 543, 3844, 2127, 540, 519, 2197, 269, 4432, 1407, 540, 782, 5686, 616, 4749, 1336, 538, 11182, 2059, 519, 8473, 609, 570, 597, 685, 295, 996, 267, 543, 972, 616, 32422, 540, 16740, 12541, 11031, 2348, 3144, 909, 513, 9930, 19631, 6228, 538, 519, 24301, 540, 519, 2620, 5045, 563, 763, 7262, 5032, 729, 2899, 678, 1057, 609, 21009, 13530, 267, 1498, 2487, 3526, 525, 540, 4123, 2924, 543, 21259, 676, 519, 9381, 15743, 561, 3581, 723, 1500, 519, 2127, 7938, 601, 5765, 547, 519, 11527, 5737, 4262, 1922, 2130, 1004, 563, 4517, 531, 7431, 568, 513, 2197, 8087, 543, 5258, 676, 922, 17710, 269, 634, 2197, 814, 1044, 513, 25411, 4875, 267, 26772, 1951, 935, 8944, 607, 1279, 607, 621, 814, 11478, 269, 634, 1585, 15743, 561, 3581, 4341, 936, 741, 11182, 267, 799, 616, 2356, 2370, 811, 982, 513, 7823, 267, 513, 12701, 540, 5260, 20087, 610, 513, 666, 27267, 1780, 267, 543, 723, 3586, 267, 4620, 1399, 15180, 1845, 609, 782, 741, 30256, 563, 20112, 543, 24271, 656, 559, 1143, 616, 519, 1973, 540, 1656, 531, 7431, 282, 5763, 568, 711, 8806, 1379, 267, 621, 568, 513, 4567, 3090, 538, 922, 1378, 1318, 269, 634, 2178, 6498, 540, 5641, 525, 5012, 547, 1082, 4652, 822, 24461, 3871, 585, 519, 791, 1478, 1639, 282, 972, 723, 1044, 1082, 2665, 540, 1004, 5182, 1324, 593, 1566, 12040, 10754, 269, 16572, 543, 5126, 616, 1312, 10792, 543, 535, 1157, 548, 267, 4657, 689, 835, 8513, 547, 1776, 693, 519, 627, 15501, 540, 741, 1951, 935, 545, 18544, 563, 6624, 2950, 2226, 10859, 5991, 558, 19631, 5389, 267, 4712, 547, 4584, 909, 543, 1847, 1058, 513, 642, 850, 610, 5906, 15743, 18459, 1491, 1852, 540, 519, 8513, 269, 4107, 540, 519, 942, 267, 519, 1007, 15743, 18459, 568, 6126, 547, 1294, 741, 3338, 7477, 730, 269, 1656, 531, 7431, 568, 12297, 1540, 609, 14460, 17260, 267, 1141, 519, 11317, 5433, 602, 789, 1131, 581, 1732, 6039, 547, 4734, 519, 8513, 267, 2864, 982, 3068, 1272, 896, 519, 5657, 517, 540, 513, 9241, 8452, 15743, 563, 4913, 267, 21273, 15743, 561, 3581, 8275, 602, 6126, 267, 11327, 2950, 616, 1390, 2959, 540, 5763, 267, 865, 972, 616, 513, 1297, 540, 18523, 22645, 945, 1291, 543, 9856, 741, 2950, 607, 952, 621, 941, 513, 2713, 11876, 731, 563, 763, 4279, 4975, 568, 513, 1360, 1114, 3510, 269, 898, 729, 7372, 267, 15743, 13355, 2749, 267, 513, 13411, 2749, 547, 519, 1951, 935, 8944, 267, 3710, 693, 519, 4463, 540, 519, 1656, 531, 517, 534, 10504, 607, 513, 1129, 540, 9322, 10838, 782, 22645, 269, 1452, 2395, 267, 519, 2749, 568, 513, 795, 14217, 267, 25314, 534, 3042, 3190, 540, 6189, 267, 609, 1082, 29117, 338, 9991, 547, 25010, 267, 1141, 3425, 543, 22900, 9799, 2661, 899, 8983, 538, 519, 5321, 540, 23766, 269, 3143, 2582, 15743, 814, 2479, 7307, 547, 1852, 519, 1256, 835, 8664, 540, 519, 7372, 2749, 282, 1906, 666, 4383, 547, 1832, 513, 8265, 610, 1079, 896, 741, 5657, 517, 267, 2713, 899, 16136, 1242, 6760, 2000, 3581, 269, 634, 4099, 540, 519, 2749, 568, 3144, 909, 676, 519, 1325, 629, 2120, 17018, 4302, 540, 15840, 600, 583, 267, 543, 32422, 32736, 540, 519, 30141, 9866, 22941, 17018, 4302, 540, 570, 3554, 520, 538, 519, 14692, 344, 17909, 540, 519, 2749, 779, 896, 10964, 569, 563, 9824, 580, 542, 543, 9177, 454, 4517, 531, 7431, 779, 1533, 4984, 568, 602, 540, 15840, 600, 583, 267, 607, 621, 814, 1044, 2094, 519, 1360, 4098, 540, 519, 2197, 269, 634, 21705, 616, 9415, 676, 519, 1533, 547, 3262, 519, 10752, 540, 15840, 600, 583, 547, 4914, 3338, 693, 1022, 4316, 269, 2755, 713, 814, 6039, 519, 2197, 1134, 607, 2484, 607, 2797, 15407, 267, 621, 814, 849, 3366, 547, 519, 15713, 540, 513, 1297, 540, 1295, 31559, 543, 5679, 4774, 9753, 538, 824, 6082, 945, 723, 2370, 547, 1100, 14017, 547, 1656, 531, 7431, 3294, 563, 8601, 519, 3646, 547, 16826, 621, 856, 267, 519, 10847, 540, 19994, 528, 568, 1360, 2178, 538, 519, 2197, 267, 2523, 10838, 3425, 269, 1703, 616, 1256, 32422, 540, 15743, 561, 3581, 2933, 14291, 547, 519, 5132, 540, 519, 6129, 267, 1498, 519, 1821, 719, 22645, 540, 1656, 531, 7431, 14962, 891, 607, 6071, 18259, 676, 513, 4984, 602, 789, 1745, 1058, 723, 5747, 856, 513, 1279, 942, 3516, 563, 763, 1381, 338, 540, 570, 3554, 520, 616, 1435, 331, 1227, 2847, 6150, 267, 1498, 621, 568, 6654, 602, 1082, 15743, 561, 3581, 543, 22900, 7219, 945, 3409, 547, 581, 1821, 719, 26902, 26802, 540, 15840, 600, 583, 723, 2965, 5641, 741, 2603, 609, 519, 26537, 1738, 10348, 563, 300, 2075, 656, 559, 1143, 543, 4123, 616, 711, 8806, 3527, 610, 1256, 22825, 538, 713, 4182, 282, 789, 616, 2081, 540, 1272, 269, 1403, 596, 6999, 547, 4308, 609, 606, 1656, 531, 517, 534, 267, 581, 5423, 547, 688, 24327, 267, 30550, 543, 4308, 269, 0, 763, 2165, 968, 3033, 532, 892, 4016, 547, 519, 7928, 19268, 1154, 540, 519, 5467, 781, 9345, 883, 519, 942, 543, 1747, 519, 2278, 16858, 873, 547, 1995, 269, 769, 2854, 2984, 267, 513, 3668, 540, 27733, 3762, 519, 5467, 27378, 1141, 519, 1650, 568, 2921, 1747, 267, 1018, 942, 540, 1554, 610, 1032, 267, 875, 4411, 519, 2011, 267, 1018, 2540, 269, 901, 10539, 786, 581, 562, 698, 3101, 519, 5467, 781, 2247, 267, 7303, 1864, 610, 1200, 689, 23622, 593, 519, 2621, 543, 4664, 519, 5856, 568, 12394, 547, 9446, 563, 347, 295, 2788, 21509, 476, 273, 31267, 513, 1360, 1164, 1377, 540, 2930, 9423, 8198, 294, 1037, 532, 538, 3756, 568, 4443, 547, 2226, 269, 1703, 568, 2141, 513, 3308, 6881, 593, 799, 519, 6345, 666, 13404, 543, 689, 799, 519, 6345, 666, 18505, 3877, 540, 4259, 269, 5457, 1152, 602, 519, 21425, 568, 538, 519, 3877, 1934, 267, 602, 1507, 1919, 971, 607, 519, 1533, 540, 519, 5862, 593, 519, 6821, 267, 519, 2179, 540, 17885, 593, 519, 6989, 267, 519, 2681, 540, 519, 12269, 630, 16694, 875, 519, 6607, 2242, 8308, 609, 942, 6361, 6377, 538, 21009, 21509, 476, 273, 264, 666, 782, 3565, 547, 27733, 543, 1058, 782, 581, 23699, 22393, 269, 3725, 9146, 454, 3725, 9146, 538, 2854, 5708, 568, 519, 3119, 6174, 676, 799, 5830, 18427, 6568, 269, 589, 4062, 540, 1603, 2141, 12211, 513, 5311, 540, 2621, 269, 589, 4062, 602, 31439, 547, 22113, 519, 1764, 891, 2621, 723, 593, 519, 1915, 945, 2833, 873, 568, 3076, 6804, 269, 589, 5467, 786, 946, 513, 2262, 971, 607, 968, 323, 787, 892, 547, 4766, 1603, 899, 713, 267, 543, 786, 4159, 741, 1378, 5114, 676, 8380, 1524, 519, 1433, 269, 31472, 568, 835, 540, 519, 23698, 1919, 547, 798, 1134, 538, 2854, 2984, 269, 2368, 5830, 723, 513, 10516, 585, 621, 267, 855, 1866, 1590, 2744, 15334, 1152, 676, 11931, 2259, 563, 3725, 9146, 568, 513, 2352, 3364, 547, 2823, 2047, 547, 7317, 10643, 1317, 972, 568, 1100, 1463, 21658, 269, 769, 1101, 16512, 11964, 267, 519, 1915, 689, 799, 649, 616, 1034, 5461, 538, 19310, 1746, 513, 5114, 568, 519, 6345, 269, 1284, 3112, 4061, 3274, 1397, 519, 5114, 269, 1717, 267, 649, 666, 581, 3222, 540, 519, 1249, 602, 649, 616, 5275, 547, 18427, 835, 267, 543, 2327, 602, 649, 2308, 607, 1082, 3308, 543, 17391, 6446, 1132, 607, 2009, 269, 3509, 540, 891, 616, 1134, 28004, 538, 938, 5420, 267, 971, 607, 519, 2699, 8755, 543, 3308, 795, 27117, 602, 9311, 625, 606, 5945, 538, 1022, 1101, 16512, 9496, 518, 269, 898, 781, 1869, 24253, 547, 2097, 2066, 513, 1007, 1383, 267, 971, 607, 519, 10151, 18555, 1145, 9447, 676, 513, 7404, 16411, 538, 21009, 3734, 476, 273, 267, 543, 621, 781, 711, 24906, 4674, 547, 3343, 607, 1082, 18817, 607, 2009, 6993, 583, 1817, 658, 2271, 337, 4288, 454, 3080, 540, 519, 2386, 560, 2081, 547, 29424, 513, 5467, 856, 540, 707, 1650, 568, 547, 7866, 519, 1249, 602, 513, 1268, 11827, 602, 1650, 269, 8191, 658, 31593, 666, 1491, 1082, 3029, 267, 543, 666, 1152, 581, 12082, 856, 676, 20392, 519, 960, 547, 824, 3988, 269, 3683, 569, 32550, 573, 18340, 267, 8763, 2797, 6898, 543, 27105, 3802, 6823, 3197, 945, 4196, 606, 6654, 1650, 3483, 616, 782, 1434, 1806, 540, 713, 5470, 563, 1103, 3756, 267, 519, 2278, 945, 1522, 11371, 8775, 568, 2901, 519, 5856, 610, 519, 1377, 14704, 269, 1284, 991, 547, 5581, 1079, 1007, 5049, 540, 2278, 658, 31593, 585, 3756, 281, 519, 5929, 2010, 607, 7396, 1657, 267, 543, 519, 31544, 10148, 13684, 676, 519, 1249, 602, 649, 3112, 16926, 2614, 5159, 547, 1711, 606, 3003, 17807, 269, 1323, 1383, 568, 519, 1835, 622, 2407, 540, 15177, 7438, 7129, 602, 6645, 519, 6345, 602, 513, 29357, 15963, 1222, 568, 1175, 1472, 519, 7944, 269, 901, 568, 513, 1106, 540, 31593, 267, 1317, 621, 19595, 721, 602, 649, 616, 4730, 538, 513, 1158, 602, 729, 2813, 676, 513, 1480, 1373, 267, 543, 649, 616, 536, 22981, 689, 519, 1650, 269, 8409, 2157, 1058, 581, 17408, 8898 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 280, 454, 280, 269, 8571, 535, 16206, 16304, 689, 519, 7475, 540, 519, 10077, 325, 269, 1280, 1142, 18843, 540, 535, 16206, 267, 8831, 513, 17208, 1899, 689, 519, 10077, 325, 267, 543, 5595, 621, 25921, 1394, 2390, 3294, 269, 8571, 519, 535, 2590, 525, 5702, 22274, 2394, 519, 7475, 540, 519, 10077, 325, 616, 4628, 4988, 563, 21760, 2659, 25753, 325, 14301, 454, 21760, 707, 10077, 325, 269, 4024, 621, 6474, 707, 5172, 28459, 286, 2659, 5172, 5026, 2319, 286, 2659, 1153, 4778, 286, 2107, 786, 621, 1118, 513, 12050, 3948, 286, 634, 3903, 568, 16523, 563, 8005, 786, 5957, 707, 10077, 325, 286, 6744, 856, 938, 1004, 5373, 10274, 267, 1141, 596, 3513, 1265, 930, 540, 707, 5172, 3197, 607, 1134, 607, 1900, 8386, 28621, 1938, 593, 875, 547, 1711, 707, 1378, 563, 306, 8364, 325, 14301, 20861, 910, 14168, 1299, 8342, 15026, 9664, 454, 18794, 1631, 543, 1205, 7525, 1569, 547, 5215, 540, 7792, 5373, 6044, 543, 2259, 3817, 2336, 26170, 7487, 18537, 610, 711, 1373, 2111, 547, 4647, 519, 7300, 888, 5575, 267, 2638, 602, 596, 2811, 29429, 538, 269, 1411, 666, 2845, 538, 593, 519, 4759, 21189, 2985, 563, 2252, 596, 2811, 1869, 711, 2111, 547, 4647, 519, 7300, 267, 519, 2693, 3070, 568, 547, 882, 1933, 519, 2985, 563, 2791, 666, 798, 713, 676, 14467, 519, 11422, 882, 1933, 7735, 563, 2005, 568, 513, 9764, 15561, 11057, 12835, 693, 519, 1283, 540, 519, 11422, 6885, 267, 3335, 1336, 538, 519, 5580, 268, 3847, 2427, 630, 9767, 666, 849, 946, 13691, 31930, 281, 595, 27530, 266, 305, 593, 7193, 543, 16710, 266, 305, 593, 5839, 1040, 0, 2690, 1027, 966, 2320, 725, 540, 667, 2086, 539, 17266, 23422, 540, 15213, 7010, 281, 667, 2086, 539, 11354, 7136, 3590, 454, 2171, 723, 865, 2484, 2808, 23191, 16550, 3252, 9117, 593, 3768, 2086, 539, 1949, 269, 1284, 786, 1631, 8831, 938, 2079, 547, 1331, 1949, 799, 1331, 1471, 32654, 14927, 532, 269, 1284, 786, 1869, 3970, 938, 2079, 547, 23191, 16550, 3252, 540, 519, 1106, 454, 13706, 513, 14927, 539, 5614, 2173, 817, 1062, 16271, 547, 513, 23191, 16550, 1599, 607, 3254, 538, 7612, 476, 276, 269, 272, 5416, 1040, 634, 674, 9720, 19072, 4696, 585, 713, 1062, 568, 3254, 538, 7612, 476, 276, 269, 272, 6357, 264, 1141, 568, 2899, 1586, 519, 12761, 689, 519, 11979, 11466, 2990, 269, 16792, 13053, 779, 16572, 649, 3489, 454, 5629, 1586, 267, 519, 3210, 786, 581, 7768, 540, 513, 24267, 3070, 630, 1492, 23644, 3210, 264, 543, 513, 1880, 3070, 630, 1492, 11931, 1533, 3210, 264, 607, 454, 2171, 723, 5892, 1336, 519, 24267, 3070, 269, 1280, 1383, 267, 538, 519, 896, 323, 2086, 539, 3510, 519, 24267, 3070, 568, 2016, 538, 3830, 630, 274, 269, 1556, 264, 607, 454, 3602, 543, 616, 17062, 21635, 269, 1677, 1265, 519, 1880, 3070, 547, 3830, 630, 276, 269, 272, 1070, 649, 786, 454, 817, 2541, 513, 3070, 540, 519, 1106, 454, 8794, 519, 9163, 454, 528, 267, 10655, 519, 543, 2474, 2676, 21008, 532, 519, 2451, 543, 1318, 1688, 5011, 5012, 547, 1079, 4834, 454, 5804, 630, 276, 269, 277, 321, 264, 649, 1294, 602, 454, 11997, 267, 519, 1880, 3070, 630, 276, 269, 275, 264, 585, 713, 1966, 568, 454, 3602, 568, 2016, 676, 3830, 630, 276, 269, 278, 1040, 634, 2698, 3070, 630, 1721, 519, 896, 323, 2086, 539, 2013, 264, 568, 454, 1103, 1082, 2665, 649, 616, 1419, 5097, 5461, 538, 519, 1279, 2165, 11931, 1533, 3210, 540, 513, 1062, 269, 4595, 519, 23644, 3210, 786, 5555, 14927, 856, 607, 649, 723, 2938, 267, 649, 786, 1419, 11716, 519, 23644, 851, 543, 2015, 519, 3070, 547, 581, 3274, 2016, 676, 519, 11931, 1533, 3210, 607, 454, 4913, 267, 607, 649, 723, 2907, 5941, 2676, 2026, 513, 1267, 267, 630, 276, 269, 1321, 264, 3587, 454, 2080, 649, 666, 1294, 602, 519, 17931, 540, 519, 3210, 568, 2016, 676, 454, 6518, 4564, 519, 6422, 3172, 2305, 3815, 538, 519, 14927, 539, 3510, 269, 6684, 267, 2094, 454, 3225, 566, 630, 276, 269, 278, 264, 666, 581, 2854, 607, 454, 5416, 264, 769, 519, 12145, 2013, 1141, 2073, 891, 2164, 616, 519, 1482, 607, 1346, 5833, 538, 519, 3768, 2086, 539, 2013, 563, 6357, 264, 2311, 1360, 1970, 4908, 12753, 267, 2073, 519, 17931, 540, 519, 5163, 568, 5111, 519, 11979, 1219, 3005, 563, 6262, 264, 2311, 1360, 1164, 4908, 12753, 267, 2073, 519, 17931, 540, 519, 3210, 568, 3648, 1447, 982, 519, 11979, 1219, 3005, 563, 5560, 264, 769, 1312, 630, 321, 264, 543, 630, 322, 264, 1657, 267, 14927, 532, 814, 1360, 2370, 1198, 269, 4475, 693, 891, 26037, 267, 621, 568, 1419, 3617, 547, 946, 519, 2164, 585, 606, 3768, 2086, 539, 1062, 630, 13678, 2952, 1317, 789, 616, 4443, 547, 946, 1916, 16216, 264, 9737, 891, 1079, 26037, 267, 543, 3226, 2282, 16982, 267, 14927, 532, 814, 519, 1198, 540, 12145, 519, 17931, 540, 19089, 269, 2311, 16982, 606, 12808, 17931, 786, 2760, 581, 6603, 543, 513, 11931, 1533, 1871, 666, 581, 5833, 563, 6600, 264, 1879, 519, 1062, 568, 14927, 539, 267, 972, 568, 1100, 6727, 5912, 689, 538, 5123, 547, 4625, 856, 540, 5123, 269, 634, 3210, 568, 2141, 10169, 856, 540, 5123, 609, 519, 16550, 1599, 630, 933, 2356, 2161, 519, 3210, 561, 4711, 519, 16550, 1599, 676, 519, 5123, 5086, 1916, 14116, 264, 2311, 16982, 267, 519, 3210, 561, 4711, 519, 16550, 1599, 676, 32494, 267, 7488, 540, 519, 2179, 540, 14927, 532, 1459, 563, 3725, 29264, 519, 3210, 540, 519, 1062, 538, 3830, 630, 276, 269, 276, 994, 663, 30337, 519, 2164, 5594, 607, 454, 2171, 666, 4612, 1142, 540, 519, 2474, 538, 713, 3830, 607, 519, 7299, 5057, 540, 513, 6152, 15914, 16671, 310, 827, 519, 5169, 693, 513, 2557, 540, 2234, 4882, 607, 3254, 538, 7612, 476, 276, 269, 274, 2630, 563, 4913, 267, 689, 630, 276, 269, 1626, 264, 649, 1294, 602, 519, 2040, 540, 891, 3334, 1590, 581, 4642, 269, 898, 568, 4061, 10375, 547, 1039, 891, 2474, 6152, 6053, 865, 602, 519, 4611, 20372, 32195, 607, 538, 7612, 476, 276, 269, 275, 563, 5804, 713, 4137, 649, 666, 1294, 5693, 602, 454, 6518, 5012, 2047, 547, 454, 6518, 616, 519, 2164, 5833, 5892, 630, 8117, 609, 1447, 960, 3238, 1934, 1916, 8794, 713, 6041, 267, 649, 666, 1174, 519, 1198, 540, 14927, 532, 538, 1142, 540, 519, 1614, 3871, 454, 1103, 713, 2013, 267, 519, 2165, 568, 4130, 982, 519, 2165, 269, 1306, 513, 1267, 267, 519, 24880, 3196, 568, 4130, 982, 519, 5614, 3196, 269, 1306, 513, 1267, 267, 519, 5123, 5086, 630, 1492, 5086, 676, 799, 519, 3210, 561, 4711, 519, 16550, 1599, 264, 568, 1447, 982, 4586, 2080, 519, 24880, 3196, 4010, 21356, 519, 5614, 3196, 267, 1247, 519, 23892, 3196, 4010, 21356, 519, 14927, 532, 3196, 269, 1306, 513, 1267, 267, 649, 1294, 602, 519, 5123, 5086, 568, 2141, 32494, 563, 2080, 267, 519, 24880, 4229, 616, 3677, 982, 519, 5614, 4229, 269, 634, 1267, 568, 513, 3677, 5123, 5086, 267, 12341, 1063, 543, 32494, 563, 763, 1907, 2630, 9727, 519, 15914, 6152, 6041, 269, 769, 519, 1907, 568, 519, 2067, 4908, 1547, 7827, 519, 6724, 547, 1294, 519, 1198, 593, 519, 6152, 28176, 563, 9558, 332, 1170, 2225, 538, 1280, 1027, 667, 2086, 539, 966, 2320, 725, 454, 763, 3196, 10299, 1063, 513, 3684, 543, 922, 5885, 2497, 568, 606, 1271, 7156, 538, 519, 19089, 10072, 540, 12227, 269, 15380, 513, 3684, 568, 31954, 1813, 547, 930, 4835, 23892, 3196, 543, 649, 1131, 899, 547, 20586, 519, 5885, 2497, 689, 891, 21513, 269, 630, 763, 9258, 3510, 849, 10039, 8094, 288, 6093, 3510, 568, 3254, 538, 7612, 476, 276, 269, 276, 269, 634, 3804, 568, 1419, 547, 2569, 519, 5021, 3196, 10299, 547, 519, 5885, 2497, 269, 1879, 649, 5892, 2808, 519, 3768, 2086, 539, 3510, 267, 519, 1152, 3196, 10299, 547, 519, 1489, 729, 998, 519, 5614, 269, 3767, 267, 2705, 267, 3196, 666, 581, 10299, 998, 1312, 519, 5614, 543, 519, 2481, 704, 269, 4329, 267, 649, 666, 711, 3274, 3773, 891, 1079, 4229, 607, 9470, 1513, 1317, 789, 798, 711, 3914, 741, 5021, 2418, 693, 519, 1482, 942, 630, 328, 4318, 269, 789, 616, 711, 538, 5123, 1040, 1717, 267, 607, 649, 723, 2938, 891, 1079, 4229, 616, 2141, 476, 3445, 856, 540, 5123, 454, 810, 519, 4611, 9588, 540, 519, 2040, 540, 891, 1079, 4229, 568, 454, 263, 1607, 3196, 666, 581, 2938, 1085, 3012, 1227, 538, 519, 6516, 538, 7612, 476, 276, 269, 277, 1759, 593, 519, 21370, 7664, 5941, 4505, 4700, 1717, 267, 649, 723, 2907, 5462, 519, 17931, 540, 519, 3210, 538, 713, 3510, 630, 3225, 566, 630, 276, 269, 280, 4297, 547, 581, 454, 933, 1205, 519, 1267, 454, 1607, 568, 519, 18993, 1170, 2225, 538, 519, 14927, 539, 3510, 799, 4564, 519, 5223, 540, 519, 5021, 3196, 10299, 547, 519, 5885, 2497, 547, 519, 5021, 23892, 3196, 630, 6518, 1934, 568, 3274, 30155, 1607, 2078, 568, 11609, 538, 7612, 476, 276, 269, 278, 269, 1306, 713, 4137, 2982, 267, 519, 18993, 1170, 2225, 568, 2141, 3152, 982, 835, 952, 1547, 901, 1797, 602, 811, 3196, 568, 10299, 547, 519, 5885, 2497, 982, 952, 519, 3684, 941, 14461, 569, 7923, 547, 519, 2497, 269, 14033, 16982, 267, 1256, 1507, 5666, 540, 14927, 532, 666, 3648, 2569, 519, 3196, 10299, 547, 519, 2497, 563, 2690, 2073, 519, 3196, 10299, 547, 519, 2497, 568, 1447, 982, 519, 23892, 3196, 269, 769, 713, 3148, 267, 2705, 267, 519, 1840, 540, 14927, 532, 4679, 519, 18993, 1170, 2225, 3379, 547, 519, 3768, 2086, 539, 3510, 269, 1403, 513, 1062, 568, 5665, 538, 713, 3148, 267, 606, 3768, 2086, 539, 1489, 3091, 1732, 18993, 1170, 2225, 4162, 982, 835, 609, 14927, 532, 269, 1717, 267, 930, 14927, 532, 568, 1419, 1869, 14909, 952, 519, 1062, 1590, 1780, 998, 16982, 547, 3914, 922, 5665, 1533, 563, 288, 3684, 609, 513, 2527, 540, 476, 1911, 4846, 568, 6462, 593, 20950, 540, 2698, 20765, 476, 10384, 737, 301, 8276, 543, 814, 606, 796, 29446, 15914, 3693, 799, 2164, 538, 513, 23892, 3196, 540, 476, 12573, 715, 693, 513, 3432, 540, 476, 4968, 271, 681, 15014, 269, 32114, 519, 1062, 814, 513, 14927, 532, 5223, 540, 2073, 3313, 454, 268, 519, 17931, 540, 519, 5163, 1813, 547, 519, 15914, 19261, 2676, 268, 519, 18993, 1170, 2225, 267, 543, 454, 268, 519, 5021, 3196, 10299, 547, 519, 5885, 2497, 563, 288, 31954, 1062, 267, 1927, 609, 922, 24880, 3490, 267, 568, 8385, 15841, 593, 513, 1305, 540, 20950, 269, 634, 5665, 4908, 540, 519, 3684, 568, 476, 15996, 681, 15014, 269, 634, 1062, 22179, 476, 1911, 271, 715, 543, 814, 606, 2500, 5614, 29870, 476, 6110, 271, 715, 8276, 269, 1744, 1442, 4726, 1499, 616, 547, 581, 3773, 547, 519, 1062, 547, 2569, 519, 18993, 1170, 2225, 693, 16982, 547, 476, 274, 269, 3958, 267, 519, 18993, 1170, 2225, 693, 519, 3339, 5665, 3432, 1058, 581, 6854, 2630, 476, 271, 269, 273, 563, 268, 9453, 14927, 532, 267, 1018, 568, 519, 18993, 1170, 2225, 693, 519, 5665, 3432, 888, 268, 1772, 621, 2009, 547, 4584, 513, 2481, 704, 799, 25389, 519, 1657, 2175, 286, 1403, 865, 267, 1018, 2039, 540, 2418, 540, 519, 14927, 532, 5223, 20465, 786, 14183, 891, 1079, 2175, 888, 2690, 1027, 966, 2320, 725, 9603, 547, 513, 15585, 908, 1955, 25270, 454, 288, 1455, 2014, 540, 7142, 21513, 538, 12227, 568, 513, 15914, 19261, 267, 3254, 1085, 3012, 1227, 538, 7612, 476, 276, 269, 279, 563, 2080, 513, 3684, 609, 2698, 2527, 568, 28653, 547, 1847, 538, 513, 7299, 4287, 269, 568, 513, 15914, 2527, 630, 6518, 568, 3769, 538, 519, 2698, 2527, 3738, 609, 26137, 640, 602, 568, 15914, 693, 513, 3586, 3432, 1547, 4438, 519, 4611, 5163, 519, 3684, 1560, 630, 1492, 851, 602, 568, 711, 519, 26137, 2527, 264, 5854, 919, 19794, 267, 609, 513, 2990, 4330, 676, 519, 1071, 334, 15453, 1547, 634, 26137, 2527, 7575, 3448, 547, 519, 3684, 1560, 267, 543, 922, 2698, 7299, 12761, 568, 2016, 676, 4586, 8201, 476, 276, 269, 280, 2982, 513, 674, 9720, 19072, 4696, 585, 713, 1694, 16615, 269, 16792, 13053, 779, 16572, 538, 519, 7299, 4287, 3947, 454, 1607, 568, 519, 1482, 3830, 540, 5163, 649, 5833, 5892, 630, 3225, 566, 630, 276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 318, 6050, 14116, 877, 26748, 17085, 858, 318, 6050, 994, 825, 3728, 318, 6050, 14116, 877, 26748, 17085, 858, 17750, 338, 2020, 825, 29384, 15220, 4069, 815, 19472, 17750, 14116, 877, 26748, 269, 6358, 23631, 336, 2676, 14030, 476, 3014, 18425, 11079, 8542, 636, 17750, 272, 30492, 14030, 476, 3014, 18425, 11079, 8542, 636, 17750, 273, 30492, 14030, 476, 3014, 18425, 11079, 8542, 636, 17750, 274, 30492, 14030, 476, 3014, 18425, 11079, 269, 9895, 4842, 318, 743, 858, 272, 30492, 14030, 476, 3014, 18425, 11079, 269, 9895, 4842, 318, 743, 858, 273, 30492, 14030, 476, 3014, 18425, 11079, 269, 9895, 4842, 318, 743, 858, 274, 994, 258, 5595, 1612, 656, 4185, 547, 1780, 7510, 322, 617, 5598, 5470, 476, 15782, 454, 825, 952, 16733, 743, 858, 15220, 4069, 538, 3014, 18425, 11079, 8542, 636, 17750, 272, 610, 29384, 15220, 4069, 538, 454, 1363, 3014, 18425, 11079, 269, 9895, 4842, 318, 743, 858, 272, 4297, 1384, 1038, 952, 3014, 18425, 11079, 23357, 341, 318, 14403, 274, 538, 11891, 912, 2018, 8488, 318, 6050, 14116, 877, 26748, 17085, 858, 16062, 1231, 994, 2018, 1404, 318, 28785, 4590, 1038, 3116, 912, 2018, 8488, 318, 6050, 14116, 877, 26748, 17085, 858, 5091, 625, 994, 2018, 1404, 318, 28785, 10797, 825, 8640, 630, 743, 858, 15220, 4069, 538, 3014, 18425, 11079, 8542, 636, 17750, 273, 610, 29384, 15220, 4069, 538, 454, 16875, 3014, 18425, 11079, 269, 9895, 4842, 318, 743, 858, 273, 2187, 1038, 2777, 263, 514, 1203, 800, 994, 825, 8640, 630, 743, 858, 15220, 4069, 538, 3014, 18425, 11079, 8542, 636, 17750, 274, 610, 29384, 15220, 4069, 538, 454, 16875, 3014, 18425, 11079, 269, 9895, 4842, 318, 743, 858, 274, 2187, 1038, 14629, 263, 514, 1203, 800, 9239, 258, 13517, 543, 2962, 693, 519, 2777, 563, 3698, 2777, 263, 514, 1203, 800, 2187, 825, 8488, 318, 6050, 14116, 877, 26748, 269, 5264, 318, 6050, 994, 825, 952, 630, 18524, 18425, 11079, 23357, 341, 318, 14403, 273, 538, 11891, 543, 3014, 18425, 11079, 23357, 341, 318, 14403, 274, 454, 11434, 711, 538, 11891, 2187, 1038, 8488, 318, 6050, 14116, 877, 26748, 269, 5264, 318, 13757, 318, 14403, 273, 994, 1038, 11891, 6910, 14116, 877, 18425, 11079, 23357, 341, 318, 14403, 274, 994, 1038, 29384, 263, 514, 1203, 800, 994, 825, 8640, 630, 18524, 18425, 11079, 23357, 341, 318, 14403, 272, 538, 11891, 543, 3014, 18425, 11079, 23357, 341, 318, 14403, 273, 454, 16875, 711, 538, 11891, 2187, 1038, 8488, 318, 6050, 14116, 877, 26748, 269, 5264, 5332, 334, 318, 14403, 273, 994, 1038, 29384, 263, 514, 1203, 800, 994, 825, 8640, 3014, 18425, 11079, 23357, 341, 318, 14403, 274, 538, 11891, 912, 1038, 8488, 318, 6050, 14116, 877, 26748, 269, 5264, 318, 13757, 318, 14403, 274, 994, 1038, 29384, 263, 514, 1203, 800, 994, 825, 3116, 912, 1038, 8488, 318, 6050, 14116, 877, 26748, 269, 5264, 5332, 334, 318, 14403, 272, 994, 1038, 11891, 6910, 14116, 877, 18425, 11079, 23357, 341, 318, 14403, 272, 994, 1038, 29384, 263, 514, 1203, 800, 9239, 258, 13517, 543, 2962, 593, 519, 14629, 563, 3698, 14629, 263, 514, 1203, 800, 2187, 825, 8488, 318, 6050, 14116, 877, 26748, 19544, 650, 318, 6050, 2020, 825, 952, 3014, 18425, 11079, 23357, 341, 318, 14403, 273, 711, 538, 11891, 912, 1038, 8488, 318, 6050, 14116, 877, 26748, 19544, 650, 6958, 697, 994, 1038, 3728, 318, 6050, 14116, 877, 26748, 19544, 650, 17750, 338, 2020, 1038, 14629, 15220, 4069, 815, 19472, 17750, 14116, 877, 26748, 269, 6358, 23631, 336, 2676, 14030, 672, 3014, 18425, 11079, 8542, 636, 17750, 272, 30492, 14030, 672, 3014, 18425, 11079, 8542, 636, 17750, 273, 30492, 14030, 672, 3014, 18425, 11079, 8542, 636, 17750, 274, 30492, 14030, 672, 3014, 18425, 11079, 269, 9895, 4842, 20189, 650, 272, 30492, 14030, 672, 3014, 18425, 11079, 269, 9895, 4842, 20189, 650, 273, 30492, 14030, 672, 3014, 18425, 11079, 269, 9895, 4842, 20189, 650, 274, 2020, 1038, 952, 16733, 24824, 15220, 4069, 538, 3014, 18425, 11079, 8542, 636, 17750, 272, 610, 14629, 15220, 4069, 454, 17264, 538, 3014, 18425, 11079, 269, 9895, 4842, 20189, 650, 272, 15892, 2018, 8488, 318, 6050, 14116, 877, 26748, 269, 4252, 611, 272, 994, 2018, 4339, 263, 514, 1203, 800, 267, 834, 4252, 611, 5602, 1038, 8640, 630, 24824, 15220, 4069, 538, 3014, 18425, 11079, 8542, 636, 17750, 273, 610, 14629, 15220, 4069, 454, 23526, 538, 3014, 18425, 11079, 269, 9895, 4842, 20189, 650, 273, 2187, 2018, 8488, 318, 6050, 14116, 877, 26748, 19544, 650, 24417, 12584, 994, 2018, 29384, 263, 514, 1203, 800, 994, 1038, 8640, 630, 24824, 15220, 4069, 538, 3014, 18425, 11079, 8542, 636, 17750, 274, 610, 14629, 15220, 4069, 454, 23526, 538, 3014, 18425, 11079, 269, 9895, 4842, 20189, 650, 274, 2187, 2018, 952, 3014, 18425, 11079, 23357, 341, 318, 14403, 272, 538, 11891, 912, 3546, 8488, 318, 6050, 14116, 877, 26748, 11075, 4068, 25419, 327, 994, 2018, 3116, 912, 3546, 8488, 318, 6050, 14116, 877, 26748, 269, 7224, 318, 3333, 4068, 25419, 327, 994, 2018, 4339, 263, 514, 1203, 800, 267, 834, 325, 697, 5602, 825, 3116, 912, 1038, 8488, 318, 6050, 14116, 877, 26748, 19544, 650, 318, 13757, 318, 14403, 273, 994, 1038, 29384, 263, 514, 1203, 800, 9239, 258, 681, 12584, 8255, 3014, 1586, 563, 3698, 1404, 318, 28785, 10031, 825, 1404, 15220, 4069, 815, 19472, 17750, 14116, 877, 26748, 269, 6358, 318, 10517, 2676, 14030, 3014, 18425, 11079, 12500, 944, 17750, 318, 13433, 30492, 14030, 3014, 18425, 11079, 12500, 944, 17750, 5332, 334, 2020, 825, 952, 1404, 15220, 4069, 538, 3014, 18425, 11079, 12500, 944, 17750, 318, 13433, 912, 1038, 1404, 318, 611, 1203, 675, 4590, 0, 258, 5192, 519, 30878, 540, 519, 6060, 1851, 824, 8464, 3403, 454, 5814, 19523, 692, 333, 815, 476, 271, 454, 328, 815, 476, 271, 454, 329, 815, 476, 271, 454, 12803, 284, 338, 903, 14714, 19734, 692, 604, 7003, 4433, 903, 27769, 341, 264, 2999, 476, 273, 912, 13537, 19523, 27769, 341, 314, 271, 3910, 834, 314, 16557, 316, 4840, 13537, 834, 29812, 30878, 630, 325, 3555, 540, 3688, 10922, 6060, 264, 540, 782, 8464, 538, 588, 19734, 4840, 453, 1410, 527, 263, 272, 2020, 16557, 284, 338, 903, 27769, 341, 314, 272, 6540, 1721, 1899, 538, 3758, 912, 453, 333, 815, 562, 1341, 476, 272, 454, 14851, 6060, 3436, 1899, 912, 453, 453, 328, 815, 1775, 1341, 476, 272, 454, 14851, 6060, 2999, 1899, 912, 453, 453, 329, 815, 795, 1341, 476, 272, 692, 2745, 834, 16557, 3152, 982, 257, 3097, 2745, 10581, 9217, 8358, 15615, 3799, 994, 2745, 1775, 267, 834, 270, 2580, 562, 454, 2745, 834, 16557, 1447, 982, 257, 3097, 2745, 10581, 27203, 8358, 15615, 3799, 994, 2745, 795, 267, 834, 270, 2580, 562, 454, 0, 258, 634, 2856, 3297, 519, 3009, 568, 6273, 689, 519, 6085, 3296, 23228, 3698, 1628, 21595, 30308, 263, 560, 8029, 453, 18851, 14303, 5281, 3403, 5569, 607, 513, 5493, 30308, 27969, 5897, 453, 258, 3403, 5569, 568, 513, 5493, 30308, 23228, 14851, 588, 2652, 588, 11468, 18737, 272, 316, 6769, 453, 16596, 588, 5897, 453, 258, 4477, 704, 4756, 269, 453, 1477, 453, 17380, 815, 476, 271, 5897, 453, 258, 5899, 902, 616, 1799, 17014, 23228, 453, 4289, 1805, 815, 1496, 328, 585, 1775, 538, 588, 316, 5897, 453, 258, 17179, 689, 5569, 2394, 621, 3587, 5493, 30308, 267, 1287, 1039, 6569, 3197, 20328, 23228, 22610, 1775, 538, 2039, 12759, 263, 560, 264, 2567, 5897, 453, 453, 4289, 1805, 31927, 263, 560, 5157, 29573, 4848, 1477, 453, 14851, 834, 2668, 21860, 17338, 1805, 264, 2652, 834, 2668, 21860, 17338, 1805, 11468, 18737, 272, 316, 8029, 4848, 453, 17380, 815, 1775, 1477, 4848, 453, 19874, 5897, 16596, 588, 1341, 588, 11468, 17380, 266, 272, 6012, 15311, 268, 272, 316, 0, 5814, 556, 5897, 3698, 4756, 11243, 28442, 8029, 825, 5727, 31262, 7024, 7301, 952, 2012, 3085, 1405, 2874, 540, 5022, 267, 21745, 1080, 543, 19156, 1152, 476, 1299, 1477, 11434, 3085, 1405, 1376, 609, 513, 1297, 27969, 1477, 24541, 825, 1948, 6744, 519, 14496, 540, 2012, 4756, 23228, 825, 952, 556, 6230, 2255, 2891, 317, 314, 288, 19053, 320, 22271, 271, 268, 280, 318, 30297, 259, 2580, 4067, 264, 543, 2012, 314, 271, 4940, 529, 323, 13424, 3890, 2652, 8771, 6769, 1038, 2132, 6936, 1477, 825, 3116, 6769, 1038, 2132, 8771, 1477, 672, 5897, 258, 901, 3070, 568, 676, 7333, 778, 23228, 3698, 4756, 11243, 28442, 8029, 825, 2132, 2012, 18994, 1211, 8595, 14052, 18851, 288, 5569, 568, 2808, 513, 4570, 32165, 952, 621, 1152, 3568, 21229, 534, 10179, 545, 5022, 630, 320, 22271, 264, 543, 630, 271, 268, 280, 1070, 610, 19156, 630, 318, 1040, 1477, 567, 589, 4570, 32165, 3112, 1376, 609, 513, 1297, 267, 610, 2270, 1022, 5624, 23228, 567, 18092, 568, 1211, 8595, 3890, 1599, 7024, 6936, 952, 519, 5569, 568, 513, 4570, 32165, 267, 543, 8771, 6382, 27969, 0, 3698, 6207, 11749, 1132, 11764, 14737, 574, 1436, 5416, 8029, 825, 5727, 16849, 519, 7089, 649, 476, 6207, 10208, 689, 2609, 540, 519, 1592, 547, 2132, 519, 10545, 1477, 1038, 5681, 18851, 1477, 24541, 825, 1948, 17776, 2405, 1014, 540, 519, 1592, 23228, 825, 2132, 513, 27007, 6352, 5416, 9984, 272, 264, 2260, 273, 316, 5897 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 711, 782, 267, 1318, 689, 1271, 2055, 547, 14469, 4967, 267, 596, 786, 1265, 1896, 2645, 547, 948, 596, 1831, 9488, 538, 713, 3184, 269, 0, 308, 327, 7937, 256, 898, 4667, 596, 2461, 1210, 606, 1520, 3625, 518, 2439, 2171, 2141, 17388, 547, 4196, 596, 609, 519, 1655, 2228, 9273, 267, 3976, 267, 972, 781, 513, 18803, 7662, 547, 2901, 771, 762, 519, 5084, 3625, 518, 610, 979, 609, 14167, 4566, 547, 946, 519, 5084, 6363, 872, 4528, 585, 26732, 780, 7775, 692, 258, 22417, 12130, 668, 2678, 547, 631, 2678, 630, 382, 369, 332, 547, 544, 2020, 5804, 1384, 6193, 668, 2678, 630, 382, 369, 332, 2020, 2414, 1384, 31461, 630, 332, 2020, 7476, 519, 654, 573, 1326, 2439, 11754, 12130, 668, 2678, 547, 631, 2678, 20303, 547, 707, 3896, 547, 946, 713, 1770, 20303, 2047, 269, 18461, 31484, 548, 6954, 547, 2272, 713, 11097, 1326, 607, 621, 568, 476, 1911, 260, 1863, 780, 13510, 9005, 593, 2561, 692, 2521, 5149, 20593, 614, 2561, 585, 707, 16353, 547, 1205, 519, 8897, 540, 14291, 5215, 540, 4559, 269, 898, 779, 476, 1911, 260, 1863, 609, 15792, 540, 2934, 2439, 3519, 3200, 12130, 668, 2678, 547, 4033, 20099, 19590, 692, 5591, 8969, 267, 693, 930, 4025, 649, 991, 547, 6460, 30562, 4394, 547, 7397, 286, 1924, 267, 1018, 547, 798, 585, 2890, 11281, 547, 11281, 24740, 286, 3776, 2319, 2966, 513, 2241, 855, 3608, 2228, 30562, 2678, 547, 11281, 602, 2636, 596, 547, 6460, 32755, 547, 544, 1369, 513, 7008, 540, 7643, 543, 2488, 596, 609, 5730, 7403, 780, 10214, 972, 568, 513, 1179, 604, 673, 4542, 585, 30562, 2678, 547, 544, 24740, 267, 855, 952, 596, 616, 3168, 585, 519, 16595, 1259, 1287, 267, 519, 1657, 20303, 585, 32755, 547, 544, 568, 1655, 585, 596, 256, 4270, 267, 972, 616, 2603, 779, 811, 602, 596, 991, 547, 917, 827, 891, 4559, 780, 12441, 1411, 5700, 2439, 1892, 476, 1015, 30562, 2678, 630, 19031, 332, 264, 568, 3160, 547, 476, 272, 324, 268, 276, 11281, 630, 332, 994, 1892, 476, 1015, 11281, 630, 332, 264, 568, 3160, 547, 476, 272, 324, 266, 278, 8020, 768, 2678, 630, 19031, 332, 2020, 1012, 12130, 668, 2678, 547, 630, 19031, 332, 264, 631, 2678, 630, 332, 264, 16754, 1384, 763, 4542, 585, 2890, 547, 11281, 568, 1384, 332, 815, 30562, 4394, 21680, 476, 272, 267, 1822, 267, 1822, 692, 1012, 1215, 547, 6460, 30562, 2678, 547, 11281, 2496, 8245, 2952, 267, 2272, 519, 1657, 32755, 547, 544, 20303, 543, 952, 707, 4116, 12134, 547, 1397, 707, 960, 16924, 267, 1287, 1413, 693, 519, 5018, 1383, 1384, 2162, 7151, 540, 30562, 2678, 630, 19031, 332, 264, 547, 11281, 630, 332, 264, 7503, 1384, 19370, 281, 22417, 476, 7918, 267, 1822, 267, 1822, 30562, 4394, 547, 7397, 2496, 11405, 1384, 3721, 476, 272, 630, 13528, 3121, 17107, 1892, 544, 815, 30562, 4394, 21680, 476, 272, 267, 1822, 267, 1822, 692, 3721, 476, 273, 630, 21607, 519, 18880, 17107, 1892, 476, 7918, 21680, 476, 272, 267, 1822, 267, 1822, 692, 3721, 476, 274, 630, 4910, 738, 17107, 1892, 476, 7918, 544, 692, 9288, 753, 267, 476, 7918, 267, 1822, 267, 1822, 30562, 4394, 630, 19031, 332, 264, 568, 3160, 547, 476, 7918, 11281, 630, 332, 2020, 1012, 12130, 668, 2678, 630, 19031, 332, 264, 547, 631, 2678, 630, 332, 264, 7503, 3349, 1384, 31466, 668, 2678, 263, 19031, 332, 264, 631, 2678, 9852, 994, 272, 32755, 476, 272, 324, 268, 277, 544, 454, 273, 32755, 476, 273, 324, 268, 277, 544, 454, 274, 32755, 476, 274, 324, 268, 277, 544, 454, 275, 32755, 476, 275, 324, 268, 277, 544, 454, 276, 32755, 476, 276, 324, 268, 277, 544, 454, 277, 32755, 476, 277, 324, 268, 277, 544, 454, 278, 32755, 476, 278, 324, 268, 277, 544, 454, 279, 32755, 476, 279, 324, 268, 277, 544, 454, 280, 32755, 476, 280, 324, 268, 277, 544, 454, 1015, 32755, 476, 272, 324, 268, 276, 544, 454, 1428, 32755, 476, 272, 269, 276, 324, 268, 276, 544, 454, 736, 32755, 476, 273, 324, 268, 276, 544, 454, 1839, 32755, 476, 273, 269, 276, 324, 268, 276, 544, 454, 1789, 32755, 476, 274, 324, 268, 276, 544, 454, 3374, 32755, 476, 274, 269, 276, 324, 268, 276, 544, 454, 2412, 32755, 476, 275, 324, 268, 276, 544, 454, 3393, 32755, 476, 275, 269, 276, 324, 268, 276, 544, 454, 2004, 32755, 476, 276, 324, 268, 276, 544, 454, 2568, 32755, 476, 277, 324, 268, 276, 544, 454, 3583, 32755, 476, 278, 324, 268, 276, 544, 454, 3199, 32755, 476, 279, 324, 268, 276, 544, 454, 3445, 32755, 476, 280, 324, 268, 276, 544, 454, 1911, 32755, 476, 272, 324, 268, 275, 544, 0, 9223, 692, 258, 769, 519, 5102, 18436, 1062, 607, 3254, 538, 519, 4137, 513, 9325, 540, 2527, 544, 8813, 689, 513, 4463, 554, 271, 1109, 517, 519, 1109, 21346, 544, 543, 4991, 12758, 547, 621, 269, 17726, 609, 799, 519, 1062, 7575, 1175, 1310, 519, 16580, 568, 281, 20734, 273, 724, 6860, 18414, 273, 724, 271, 18414, 724, 6349, 18414, 273, 724, 4962, 692, 11405, 692, 1012, 634, 2953, 4781, 568, 667, 20734, 273, 724, 4962, 2690, 16580, 1184, 267, 2910, 300, 3947, 18665, 284, 273, 332, 341, 271, 22382, 341, 271, 284, 341, 273, 1141, 267, 579, 284, 18414, 273, 724, 271, 3807, 1310, 21611, 267, 835, 666, 18359, 16070, 11610, 827, 519, 8998, 540, 519, 5102, 2917, 269, 2910, 4456, 9149, 284, 299, 325, 476, 273, 332, 341, 271, 305, 284, 273, 332, 341, 305, 266, 274, 332, 341, 305, 7316, 681, 281, 8953, 540, 519, 5102, 2917, 966, 281, 3803, 29702, 540, 544, 543, 476, 274, 332, 2340, 18568, 341, 284, 273, 309, 4962, 815, 1839, 9943, 18414, 273, 724, 6349, 815, 18414, 273, 724, 4962, 692, 22296, 2248, 28303, 0, 1012, 17252, 4953, 14330, 304, 306, 10396, 17834, 3582, 5508, 20219, 23727, 5508, 24315, 12087, 299, 2464, 6730, 681, 5456, 2839, 289, 7495, 312, 692, 288, 14461, 1560, 568, 3989, 607, 519, 1560, 602, 814, 5536, 799, 616, 693, 513, 6378, 3845, 689, 1142, 824, 543, 3788, 3586, 269, 1280, 1022, 2834, 1560, 267, 519, 8998, 540, 2527, 6013, 693, 519, 22762, 3740, 8998, 269, 4746, 267, 519, 7432, 5163, 538, 519, 14461, 1560, 568, 3812, 676, 519, 2121, 18165, 780, 763, 5163, 540, 1949, 540, 5536, 543, 14461, 1560, 814, 2035, 971, 607, 519, 8998, 540, 2527, 267, 18165, 267, 16070, 11610, 267, 5726, 540, 16070, 11610, 267, 519, 8953, 540, 14934, 1674, 267, 543, 5376, 916, 1644, 547, 13902, 543, 6252, 17887, 780, 26807, 569, 256, 12989, 616, 930, 2789, 31547, 2055, 630, 10157, 17988, 264, 593, 519, 1888, 540, 968, 300, 10056, 540, 3590, 540, 3487, 2873, 543, 15519, 573, 10610, 892, 585, 17252, 4953, 630, 13233, 4432, 580, 2225, 15921, 9980, 8896, 4530, 264, 7041, 1384, 272, 269, 6904, 540, 519, 1739, 9424, 3788, 3586, 585, 513, 1062, 540, 5536, 538, 519, 9000, 540, 1022, 5007, 3196, 888, 320, 264, 12430, 11610, 454, 321, 264, 4911, 983, 11610, 454, 322, 264, 20943, 2045, 1648, 454, 323, 264, 11192, 7344, 1648, 692, 273, 269, 5565, 13999, 544, 272, 543, 544, 273, 616, 4448, 676, 513, 14461, 11425, 540, 3259, 700, 269, 634, 4090, 540, 24880, 540, 713, 1062, 827, 606, 7852, 8429, 998, 519, 4099, 540, 2527, 543, 13902, 547, 519, 11425, 568, 912, 320, 264, 630, 332, 272, 1341, 544, 273, 264, 299, 317, 273, 454, 321, 264, 630, 332, 272, 332, 273, 1315, 630, 332, 272, 1341, 544, 273, 4297, 299, 317, 273, 454, 322, 264, 630, 332, 272, 332, 273, 1315, 630, 332, 272, 1107, 544, 273, 4297, 299, 317, 273, 454, 323, 264, 630, 332, 272, 332, 273, 1315, 630, 332, 272, 1341, 476, 273, 332, 273, 4297, 299, 317, 273, 692, 274, 269, 1879, 513, 1560, 29226, 827, 513, 6378, 7852, 267, 519, 5536, 4092, 20991, 689, 519, 7852, 912, 320, 264, 5620, 519, 1482, 16070, 3432, 607, 5536, 6251, 547, 519, 7852, 563, 321, 264, 5620, 2362, 16070, 3432, 982, 5536, 6251, 547, 519, 7852, 563, 322, 264, 5620, 2539, 16070, 3432, 982, 5536, 6251, 547, 519, 7852, 563, 323, 264, 5620, 4642, 16070, 3432, 780, 275, 269, 6904, 540, 519, 1739, 6898, 827, 5726, 540, 16070, 11610, 568, 3020, 888, 320, 264, 4911, 983, 11610, 568, 24721, 1152, 538, 13412, 21611, 563, 321, 264, 4911, 983, 11610, 568, 2141, 24721, 267, 28000, 540, 519, 1826, 540, 16580, 563, 322, 264, 4911, 983, 11610, 568, 24721, 1152, 950, 972, 616, 1100, 5007, 8731, 13196, 9117, 593, 519, 1062, 563, 323, 264, 4911, 983, 11610, 568, 711, 24721, 538, 1022, 2168, 1062, 780, 276, 269, 634, 4090, 540, 24880, 540, 513, 4396, 12106, 540, 2527, 631, 543, 8953, 681, 827, 606, 7852, 8429, 998, 922, 4099, 568, 912, 320, 264, 630, 273, 270, 276, 264, 19182, 317, 273, 454, 321, 264, 630, 273, 270, 274, 264, 19182, 317, 273, 454, 322, 264, 630, 274, 270, 276, 264, 19182, 317, 273, 454, 323, 264, 630, 274, 270, 273, 264, 19182, 317, 273, 692, 277, 269, 589, 1062, 540, 5536, 568, 7620, 693, 1964, 269, 1403, 1100, 5007, 3196, 6411, 593, 519, 1062, 267, 799, 540, 519, 1739, 9424, 786, 581, 24721, 888, 320, 264, 12430, 11610, 454, 321, 264, 4911, 983, 11610, 454, 322, 264, 20943, 2045, 1648, 454, 323, 264, 11192, 7344, 1648, 692, 278, 269, 634, 8953, 540, 14934, 1674, 540, 513, 1560, 827, 513, 2016, 7852, 568, 23060, 269, 1548, 4523, 547, 519, 4090, 540, 24880, 540, 519, 1560, 827, 602, 7852, 888, 320, 264, 898, 3587, 3368, 563, 321, 264, 898, 29156, 563, 322, 264, 898, 3587, 2185, 2053, 563, 323, 264, 898, 3788, 519, 1482, 780, 279, 269, 634, 4099, 540, 2527, 540, 513, 1062, 540, 5536, 912, 320, 264, 11408, 6013, 3330, 835, 540, 519, 5536, 563, 321, 264, 11408, 6013, 3544, 519, 1062, 540, 5536, 563, 322, 264, 11408, 6013, 593, 519, 7852, 540, 10047, 563, 323, 264, 631, 7174, 538, 513, 2786, 1899, 693, 3586, 3432, 780, 280, 269, 634, 16070, 11610, 540, 513, 1062, 540, 5536, 3788, 3586, 952, 912, 320, 264, 24498, 4229, 957, 593, 519, 1062, 563, 321, 264, 634, 5536, 2458, 728, 609, 1142, 824, 563, 322, 264, 634, 2121, 5007, 18165, 9117, 593, 519, 1062, 568, 4642, 563, 323, 264, 634, 1062, 568, 711, 15914, 780, 1015, 269, 634, 4090, 540, 24880, 540, 513, 1560, 5673, 593, 912, 320, 264, 7136, 540, 519, 1560, 1152, 563, 321, 264, 23426, 543, 2450, 540, 519, 1560, 1152, 563, 322, 264, 7136, 543, 3337, 540, 519, 1560, 267, 855, 711, 922, 2450, 563, 323, 264, 7136, 267, 3337, 267, 543, 2450, 540, 519, 1560, 780, 272, 269, 536, 264, 4911, 983, 11610, 454, 273, 269, 536, 264, 630, 332, 272, 332, 273, 1315, 630, 332, 272, 1341, 544, 273, 4297, 299, 317, 273, 454, 274, 269, 536, 264, 5620, 2362, 16070, 3432, 982, 5536, 6251, 547, 519, 7852, 563, 275, 269, 524, 264, 4911, 983, 11610, 568, 24721, 1152, 950, 972, 616, 1100, 5007, 8731, 13196, 9117, 593, 519, 1062, 563, 276, 269, 513, 264, 630, 273, 270, 276, 264, 19182, 317, 273, 454, 277, 269, 536, 264, 4911, 983, 11610, 454, 278, 269, 524, 264, 898, 3587, 2185, 2053, 563, 279, 269, 546, 264, 631, 7174, 538, 513, 2786, 1899, 693, 3586, 3432, 563, 280, 269, 524, 264, 634, 2121, 5007, 18165, 9117, 593, 519, 1062, 568, 4642, 563, 1015, 269, 546, 264, 7136, 267, 3337, 267, 543, 2450, 540, 519, 1560, 780, 14187, 9939, 609, 707, 17252, 4953, 7041, 2439, 1012, 808, 7417, 14330, 304, 306, 10396, 17834, 3582, 5508, 20219, 23727, 5508, 24315, 12087, 299, 2464, 6730, 681, 5456, 2839, 289, 7495, 312, 692, 26807, 569, 256, 3371, 616, 930, 2789, 31547, 2055, 630, 10157, 17988, 264, 593, 519, 1888, 540, 968, 300, 10056, 540, 3590, 540, 3487, 2873, 543, 15519, 573, 10610, 892, 585, 808, 7417, 630, 297, 2002, 9980, 8896, 22410, 264, 7041, 1384, 272, 269, 5565, 5536, 540, 13999, 544, 272, 543, 544, 273, 616, 3001, 538, 513, 7077, 609, 29702, 642, 272, 543, 642, 273, 267, 6606, 269, 1548, 568, 519, 2990, 6152, 540, 519, 4099, 540, 2527, 540, 519, 1062, 888, 320, 264, 630, 332, 272, 341, 272, 1341, 544, 273, 341, 273, 264, 1315 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2606, 1257, 593, 519, 14985, 540, 2696, 269, 769, 602, 1433, 267, 3212, 1188, 5069, 12220, 2789, 3631, 540, 2696, 543, 519, 10143, 10305, 538, 10855, 6752, 269, 23942, 5900, 1026, 2373, 568, 3212, 1188, 5069, 779, 1378, 16268, 2272, 540, 519, 10143, 10305, 563, 8248, 1188, 5069, 5956, 1010, 1433, 609, 513, 536, 686, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23781, 24702, 1315, 4168, 5783, 1315, 32588, 1299, 8278, 27036, 20292, 4521, 1315, 4886, 540, 4793, 337, 2065, 2052, 976, 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, 8080, 547, 938, 4241, 3460, 998, 519, 1480, 1560, 256, 4653, 267, 649, 786, 2263, 835, 540, 922, 1898, 2694, 910, 519, 2842, 335, 6559, 267, 849, 1634, 607, 519, 30439, 320, 269, 5994, 3843, 547, 13236, 1510, 513, 30439, 320, 1107, 621, 1131, 581, 899, 12394, 547, 521, 760, 513, 4235, 998, 513, 16760, 12450, 256, 3807, 607, 513, 2178, 267, 2647, 12450, 2337, 596, 2972, 707, 5172, 20892, 267, 519, 30439, 320, 4249, 513, 2629, 1909, 538, 4543, 721, 13236, 3362, 780, 4131, 781, 1376, 676, 1620, 1018, 519, 30439, 320, 5654, 899, 543, 875, 621, 3252, 269, 16514, 513, 3126, 540, 6263, 267, 19756, 14034, 1500, 540, 18846, 344, 1570, 4448, 1927, 899, 513, 8465, 25652, 269, 1452, 616, 1572, 7047, 559, 698, 29532, 14034, 267, 543, 789, 948, 1832, 519, 30439, 320, 1930, 865, 2011, 666, 2095, 11884, 538, 543, 856, 269, 6056, 540, 891, 14034, 607, 519, 834, 338, 651, 13987, 257, 540, 519, 30439, 320, 267, 3246, 1489, 1247, 1373, 9543, 2614, 711, 547, 10413, 950, 649, 15179, 610, 2911, 780, 3086, 267, 4952, 952, 1346, 11215, 14034, 3323, 9561, 741, 3337, 543, 4742, 2695, 14414, 269, 5794, 6503, 3587, 3908, 267, 1818, 621, 9875, 585, 721, 547, 13236, 7184, 1765, 18034, 1282, 2168, 2238, 899, 4881, 610, 4730, 269, 901, 3510, 4523, 538, 930, 2831, 1813, 547, 513, 2783, 1572, 30439, 531, 12900, 269, 4014, 713, 3390, 3884, 1406, 1360, 1455, 538, 3425, 267, 1082, 20036, 2185, 6122, 13949, 2828, 971, 607, 31920, 6833, 13205, 267, 23625, 623, 22751, 267, 543, 1256, 2462, 2915, 14981, 899, 4279, 667, 6951, 3006, 3068, 713, 4161, 780, 1103, 519, 2038, 5933, 540, 30439, 531, 12900, 267, 519, 6091, 8220, 519, 20162, 6336, 741, 6109, 1145, 267, 4929, 519, 2842, 335, 6559, 547, 1413, 811, 899, 513, 1929, 335, 7535, 562, 22259, 982, 513, 4396, 15993, 585, 2011, 269, 1879, 713, 4386, 267, 1169, 7362, 4992, 2695, 324, 21294, 610, 26776, 1317, 519, 6094, 3774, 16298, 519, 30439, 320, 521, 1811, 1394, 543, 8521, 269, 1403, 2451, 15860, 267, 519, 1966, 7707, 839, 936, 942, 269, 16828, 267, 519, 20162, 3294, 6238, 4657, 3337, 883, 1945, 23401, 606, 4212, 2864, 982, 513, 8258, 267, 6028, 9962, 10616, 1063, 873, 269, 9182, 267, 519, 2898, 30439, 320, 1522, 13946, 538, 593, 3294, 267, 2870, 1713, 7965, 538, 7244, 780, 293, 6136, 267, 972, 616, 2081, 547, 1521, 30439, 531, 12900, 1210, 2413, 4915, 269, 966, 1115, 1419, 21559, 6527, 547, 2569, 6553, 543, 8897, 2589, 269, 1280, 3665, 2665, 1141, 3232, 1272, 568, 16094, 4299, 267, 23361, 666, 18534, 1901, 543, 7794, 519, 8697, 1858, 269, 2060, 1697, 1416, 267, 24566, 15274, 6849, 713, 6560, 2661, 6126, 2729, 267, 3450, 721, 782, 827, 4222, 543, 6043, 2439, 3383, 3314, 267, 1175, 899, 513, 1134, 32472, 911, 5404, 13238, 2115, 1312, 20950, 543, 2121, 1154, 547, 960, 7157, 267, 938, 4703, 7048, 593, 1585, 3334, 2324, 32069, 1927, 269, 8921, 942, 596, 1491, 513, 2620, 7362, 267, 1589, 827, 707, 1378, 2123, 15705, 910, 519, 30439, 320, 910, 3623, 1836, 4180, 5135, 10301, 1169, 1591, 538, 707, 1560, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 30439, 320, 568, 7768, 540, 476, 3374, 547, 476, 3393, 7047, 559, 698, 29532, 267, 595, 11057, 14034, 8678, 21053, 958, 676, 519, 30439, 23653, 4887, 267, 11940, 6242, 267, 543, 24561, 5160, 630, 323, 832, 531, 30439, 531, 9245, 282, 1294, 570, 2350, 9996, 12700, 1040, 272, 267, 273, 454, 307, 2350, 515, 531, 12900, 568, 11636, 267, 546, 528, 810, 1203, 1537, 24609, 532, 540, 519, 30439, 531, 561, 18210, 269, 898, 568, 1034, 1455, 538, 1647, 27070, 267, 1507, 1532, 7517, 5243, 630, 1122, 267, 31920, 1768, 8175, 267, 11442, 533, 22259, 267, 623, 9593, 534, 1014, 267, 932, 8811, 340, 1695, 7699, 267, 533, 1872, 264, 273, 855, 814, 849, 1044, 4080, 538, 1804, 1532, 7517, 5243, 267, 533, 23888, 267, 16933, 267, 7314, 267, 543, 513, 23820, 269, 274, 268, 278, 21231, 267, 561, 1314, 640, 540, 519, 30439, 23653, 4887, 2164, 538, 23472, 543, 26776, 7244, 607, 519, 24725, 30439, 531, 9245, 3915, 3298, 538, 543, 856, 540, 519, 30439, 531, 561, 18210, 609, 1142, 7362, 269, 1306, 519, 2783, 22264, 267, 519, 7047, 559, 698, 29532, 14034, 1831, 811, 9065, 1355, 543, 519, 3845, 1063, 873, 4679, 267, 4611, 538, 546, 528, 810, 1203, 1537, 24609, 532, 540, 519, 30439, 320, 543, 5051, 4049, 14501, 540, 23472, 543, 3635, 22166, 269, 634, 30439, 531, 561, 18210, 8006, 949, 1831, 865, 7522, 602, 519, 561, 18210, 568, 5176, 21933, 3438, 730, 267, 3056, 547, 7929, 11605, 543, 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, 8111, 5115, 659, 6002, 281, 20710, 3101, 519, 29361, 9737, 7167, 659, 6002, 543, 645, 2660, 625, 998, 30404, 5082, 10635, 13511, 692, 1103, 519, 2479, 21608, 5251, 540, 1648, 4859, 1949, 267, 2706, 5115, 659, 6002, 723, 7153, 607, 513, 9621, 2029, 602, 10905, 519, 1655, 10305, 540, 6671, 29522, 543, 9075, 269, 901, 3184, 12538, 883, 519, 4241, 1158, 540, 2706, 5115, 659, 6002, 267, 3246, 606, 538, 3829, 6514, 540, 741, 4909, 3741, 267, 1374, 267, 2326, 267, 3156, 267, 543, 2104, 16548, 1369, 519, 6626, 2796, 540, 6850, 322, 13511, 269, 1635, 3695, 5969, 12967, 1382, 543, 1483, 8996, 30582, 267, 596, 786, 2744, 513, 4396, 9787, 540, 875, 891, 3457, 1599, 267, 1946, 789, 616, 1271, 267, 543, 1141, 789, 1796, 538, 6935, 547, 824, 1648, 4859, 3435, 780, 8139, 8111, 5115, 659, 6002, 454, 28598, 2162, 9978, 16610, 543, 12910, 11659, 692, 6524, 11362, 883, 519, 14960, 540, 2706, 5115, 659, 6002, 267, 1577, 781, 3715, 930, 2596, 16166, 2404, 609, 1648, 4859, 1949, 1384, 265, 2878, 22479, 659, 13330, 630, 293, 264, 4995, 589, 2268, 540, 513, 3926, 781, 2702, 547, 4558, 5122, 5279, 282, 2362, 31887, 10522, 3152, 6740, 1648, 563, 265, 2878, 14157, 5653, 630, 309, 264, 4995, 634, 3167, 1761, 3017, 1063, 1079, 2798, 538, 513, 5547, 282, 5540, 519, 2179, 540, 1648, 602, 666, 581, 6740, 538, 513, 2016, 19218, 563, 265, 2878, 21328, 5860, 630, 2662, 21515, 610, 1733, 13624, 264, 4995, 634, 2698, 1648, 6740, 829, 1770, 2527, 610, 4320, 282, 1164, 1648, 5860, 6087, 3476, 5106, 2053, 610, 4130, 1106, 2188, 563, 265, 2878, 20175, 5860, 630, 310, 21515, 610, 654, 13624, 264, 4995, 634, 5021, 1379, 3977, 829, 1770, 2527, 610, 4320, 282, 7506, 519, 2557, 693, 799, 1648, 666, 581, 5950, 563, 265, 2878, 2419, 1618, 270, 4134, 8408, 9979, 4995, 15901, 730, 3157, 540, 13936, 543, 16089, 5122, 1648, 282, 15325, 568, 1419, 6027, 676, 4783, 1272, 780, 4415, 891, 2474, 538, 2247, 267, 649, 1631, 2490, 938, 3007, 547, 10747, 1018, 5036, 2706, 5115, 659, 6002, 6306, 689, 2757, 29522, 543, 9075, 269, 2311, 741, 4295, 267, 2706, 5115, 659, 6002, 2099, 606, 13591, 3070, 1063, 891, 1079, 26037, 267, 5356, 5383, 971, 607, 4028, 12123, 270, 4134, 12737, 532, 7207, 267, 1279, 3076, 564, 1307, 267, 543, 1164, 1379, 24186, 1247, 27531, 930, 1648, 5860, 3379, 547, 9075, 780, 256, 26514, 263, 10059, 2517, 328, 269, 19112, 584, 2593, 270, 313, 308, 277, 305, 329, 25519, 26666, 2020, 318, 9928, 11490, 6041, 540, 1114, 1648, 4859, 4066, 11519, 692, 2162, 19032, 540, 6052, 19554, 7010, 692, 2414, 1732, 1174, 1141, 2706, 5115, 659, 6002, 3514, 1369, 519, 3677, 5117, 540, 1648, 4859, 3435, 267, 621, 781, 5363, 547, 30387, 873, 1759, 593, 741, 5817, 6127, 269, 16340, 569, 6340, 267, 972, 616, 1614, 1292, 2010, 540, 1648, 4859, 1949, 1384, 272, 269, 2878, 16978, 3740, 1262, 910, 1452, 4125, 7213, 6819, 5122, 10997, 1510, 1022, 7503, 1184, 267, 30833, 676, 2241, 29522, 269, 1358, 30107, 1360, 3728, 3210, 2053, 855, 7985, 689, 1970, 1648, 24186, 563, 273, 269, 2878, 16978, 10635, 8707, 1262, 910, 6270, 1949, 7048, 593, 31181, 10787, 3385, 545, 6547, 693, 519, 19650, 270, 19491, 26299, 974, 8818, 267, 7175, 3648, 2362, 1648, 24186, 982, 17033, 5122, 4859, 2409, 269, 6201, 1331, 22507, 762, 9075, 267, 4492, 2281, 267, 543, 32503, 31665, 621, 1765, 27273, 5115, 659, 6002, 2336, 274, 269, 2878, 9288, 22817, 1262, 910, 1452, 1949, 6460, 7344, 1648, 883, 5122, 1648, 630, 528, 13030, 17930, 1070, 19713, 9259, 899, 2650, 345, 29090, 640, 267, 5513, 29090, 640, 267, 610, 13590, 15632, 269, 10241, 2039, 689, 28707, 11418, 547, 1804, 8397, 7470, 4859, 780, 16352, 5432, 1242, 6000, 609, 519, 9238, 540, 1648, 4859, 1949, 267, 649, 666, 1445, 811, 4481, 593, 2706, 5115, 659, 6002, 267, 4358, 609, 741, 2189, 7271, 540, 2962, 780, 23330, 908, 14362, 540, 8111, 5115, 659, 6002, 454, 5785, 19567, 4263, 519, 2295, 540, 1169, 2706, 5115, 659, 3218, 6013, 922, 8984, 5595, 2000, 9707, 31887, 630, 3633, 9448, 1070, 4611, 689, 519, 9668, 540, 9901, 2249, 693, 519, 8818, 1063, 606, 19650, 543, 606, 14793, 6776, 3070, 269, 1677, 4628, 5660, 713, 7613, 267, 2015, 519, 1739, 3268, 3238, 538, 519, 5250, 540, 606, 11581, 9448, 1384, 272, 269, 2878, 5353, 3005, 540, 5078, 22809, 4995, 15380, 267, 24338, 3327, 17675, 2326, 616, 1031, 1813, 547, 741, 1164, 2627, 1858, 267, 1434, 19428, 267, 543, 6617, 538, 1585, 32690, 269, 5871, 5079, 1331, 15181, 16087, 976, 267, 22130, 267, 610, 3327, 31407, 25683, 563, 273, 269, 2878, 3412, 11302, 542, 538, 606, 23386, 4995, 1323, 9357, 1227, 10647, 5420, 267, 2356, 606, 3679, 267, 3490, 267, 610, 6070, 15702, 538, 513, 19857, 267, 16881, 5279, 4483, 1063, 519, 22809, 269, 5871, 32690, 1331, 16247, 545, 3679, 630, 295, 273, 12569, 275, 1070, 11379, 28355, 630, 298, 15121, 1070, 610, 25543, 14007, 2459, 28016, 25543, 22381, 528, 984, 28672, 16733, 292, 339, 275, 301, 264, 289, 293, 275, 264, 538, 1035, 17662, 527, 686, 548, 563, 274, 269, 2878, 32101, 540, 6453, 4995, 1879, 513, 1761, 3017, 568, 4294, 2066, 519, 22809, 267, 9797, 9901, 524, 725, 538, 519, 23386, 22109, 2509, 519, 11874, 21678, 19650, 630, 333, 6334, 13631, 676, 6587, 10997, 1070, 8108, 513, 11741, 4494, 1572, 519, 590, 1181, 4494, 269, 11531, 267, 1447, 5985, 606, 687, 2611, 20991, 2476, 267, 2870, 513, 27556, 4494, 269, 8625, 267, 891, 6106, 13822, 519, 5122, 5595, 4494, 3743, 585, 13936, 1648, 538, 2706, 5115, 659, 6002, 563, 275, 269, 2878, 1805, 4392, 543, 5305, 540, 1648, 4995, 16270, 7311, 513, 6453, 267, 5279, 9668, 4386, 8216, 24345, 267, 3850, 519, 3926, 547, 4558, 1648, 6385, 269, 4427, 2425, 550, 11166, 13847, 519, 6740, 1648, 3592, 607, 3533, 267, 1818, 2706, 5115, 659, 6002, 4998, 10457, 585, 3156, 8506, 2656, 28377, 540, 1379, 780, 2005, 781, 4502, 15663 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 1126, 779, 2104, 1272, 1369, 519, 2146, 729, 711, 21630, 2394, 519, 4098, 540, 30095, 2853, 602, 2847, 9407, 1472, 519, 5920, 540, 519, 1560, 543, 4948, 2853, 269, 681, 3770, 338, 540, 5912, 543, 519, 10073, 540, 2937, 10571, 543, 513, 1009, 5138, 6825, 513, 1126, 779, 2104, 543, 15296, 282, 855, 15296, 729, 711, 4628, 6603, 2394, 891, 12379, 334, 26410, 1453, 941, 6825, 9308, 676, 1007, 688, 1009, 5138, 267, 1560, 15022, 3512, 566, 267, 543, 10571, 563, 21953, 267, 4008, 3961, 3459, 6140, 1369, 519, 741, 1378, 1753, 543, 15366, 6788, 269, 1306, 1453, 6410, 883, 15296, 789, 2968, 811, 513, 1587, 540, 741, 4008, 982, 540, 2933, 543, 607, 789, 9907, 1131, 1995, 891, 1570, 1436, 2853, 711, 607, 2621, 2189, 547, 741, 1378, 4703, 282, 855, 267, 607, 513, 15266, 547, 741, 4008, 543, 1909, 1369, 519, 2486, 269, 476, 275, 1703, 941, 865, 1082, 10058, 8677, 540, 1114, 1560, 12381, 538, 12379, 334, 15330, 3821, 1142, 7674, 513, 2189, 3483, 585, 891, 12977, 269, 2290, 540, 519, 1034, 1455, 729, 22623, 658, 23673, 563, 1805, 574, 4327, 23673, 540, 519, 22623, 658, 26434, 568, 835, 1106, 540, 513, 8628, 14842, 540, 519, 1560, 602, 814, 1044, 5340, 676, 1480, 7919, 585, 5553, 607, 513, 1259, 540, 1114, 11868, 689, 1866, 269, 1452, 3800, 941, 3226, 11342, 538, 12379, 334, 15330, 3821, 269, 634, 5053, 8071, 4593, 534, 17630, 632, 700, 7701, 4330, 875, 519, 2904, 553, 25302, 519, 15693, 338, 540, 741, 1453, 269, 1261, 6257, 519, 2021, 607, 8744, 909, 741, 1453, 609, 3665, 11315, 1145, 543, 3081, 602, 607, 513, 4341, 1453, 4682, 21736, 269, 10434, 569, 2185, 610, 2947, 2395, 1310, 4332, 519, 4816, 729, 21401, 856, 593, 513, 2370, 524, 1026, 1500, 540, 1793, 2354, 540, 1570, 563, 5475, 713, 267, 519, 13862, 540, 519, 1126, 729, 5116, 1063, 1079, 1544, 802, 267, 835, 693, 519, 1394, 543, 835, 693, 519, 4395, 269, 1452, 941, 1287, 14593, 1927, 543, 13615, 269, 1280, 2395, 693, 513, 942, 519, 1126, 729, 2451, 538, 3765, 2044, 269, 18623, 7866, 602, 15693, 22636, 729, 19040, 676, 513, 3982, 1514, 4806, 269, 634, 2949, 2551, 1223, 1152, 1685, 1978, 1253, 25344, 269, 2201, 519, 824, 1688, 267, 952, 1453, 941, 3921, 7134, 547, 1831, 8783, 338, 267, 20577, 267, 7980, 610, 12492, 1776, 1164, 8573, 21403, 2990, 267, 789, 941, 2016, 1793, 13589, 1253, 25344, 563, 30131, 2904, 534, 3885, 540, 519, 25839, 1974, 13747, 2933, 689, 519, 2539, 5049, 609, 741, 2212, 3337, 269, 898, 2968, 513, 1514, 4567, 602, 1152, 513, 1906, 941, 17709, 2614, 547, 3489, 269, 4340, 547, 930, 10236, 5505, 267, 1793, 5896, 23673, 729, 5497, 547, 3337, 513, 1126, 779, 2212, 547, 18613, 519, 2212, 540, 513, 808, 16331, 541, 267, 513, 13411, 13442, 543, 3239, 540, 1379, 585, 519, 2904, 553, 269, 6271, 3069, 267, 1759, 593, 1353, 540, 2592, 267, 5267, 602, 519, 2904, 553, 941, 3843, 547, 3337, 9843, 547, 1413, 899, 519, 2212, 540, 519, 22959, 5601, 267, 945, 729, 519, 12835, 540, 4829, 6888, 269, 3509, 6436, 2291, 267, 2943, 621, 568, 1978, 602, 1082, 13251, 22775, 885, 543, 1560, 12381, 552, 516, 3908, 547, 31794, 1369, 891, 7239, 269, 769, 1840, 547, 22623, 658, 27724, 267, 519, 15609, 849, 13736, 5959, 14842, 269, 901, 24865, 538, 519, 1106, 540, 25937, 741, 4522, 883, 8966, 535, 326, 999, 610, 17656, 9475, 538, 519, 4522, 865, 602, 4035, 1564, 666, 581, 5116, 538, 873, 269, 9122, 593, 15456, 2164, 621, 1131, 2408, 602, 519, 5650, 540, 5959, 23732, 3459, 609, 1472, 476, 2568, 2600, 540, 519, 2698, 2551, 13267, 538, 930, 1106, 540, 5959, 27327, 563, 293, 4979, 519, 4522, 729, 811, 18497, 1851, 21031, 543, 519, 29780, 540, 4035, 1564, 729, 811, 1455, 538, 9038, 282, 2705, 267, 1312, 2853, 616, 1336, 1851, 1142, 4008, 269, 9521, 22623, 658, 14842, 267, 799, 7018, 14961, 1851, 9038, 543, 8951, 267, 5959, 27327, 568, 811, 1455, 1851, 8951, 609, 827, 476, 4792, 2600, 540, 2021, 540, 519, 942, 2348, 14661, 741, 4522, 267, 1247, 1152, 827, 476, 6812, 2600, 540, 9038, 1185, 9862, 4522, 269, 12267, 2995, 602, 4587, 2021, 13401, 519, 1184, 543, 602, 789, 1031, 6149, 705, 2784, 619, 543, 1216, 547, 3758, 519, 4522, 607, 10353, 547, 695, 3058, 2476, 693, 873, 563, 19013, 267, 519, 1184, 540, 4259, 4035, 1564, 883, 519, 4522, 729, 1447, 8912, 982, 25937, 519, 4522, 865, 972, 568, 1100, 2594, 8159, 875, 519, 1184, 729, 5340, 610, 945, 729, 3743, 585, 519, 1184, 269, 898, 568, 5156, 602, 27162, 1156, 539, 5642, 24200, 609, 1216, 543, 5070, 610, 930, 824, 11315, 1570, 1131, 723, 1044, 1031, 547, 3337, 519, 9475, 585, 538, 331, 904, 538, 4522, 269, 853, 2158, 602, 941, 4092, 538, 519, 4522, 1223, 581, 795, 1228, 267, 2116, 22941, 267, 7510, 1679, 267, 610, 2881, 638, 18857, 543, 519, 1178, 12069, 941, 4371, 538, 1747, 609, 9160, 269, 1703, 616, 1082, 2093, 607, 547, 1946, 519, 15609, 786, 5944, 4682, 998, 971, 513, 11213, 1106, 540, 9542, 563, 15900, 15609, 3622, 5340, 7299, 25937, 593, 519, 4522, 269, 15609, 689, 519, 2663, 1974, 13736, 513, 3376, 2039, 540, 1114, 3270, 540, 538, 331, 904, 543, 4522, 2083, 902, 269, 898, 568, 8037, 602, 519, 5053, 2911, 827, 513, 4990, 540, 10424, 4567, 602, 519, 15609, 621, 714, 839, 1185, 538, 24947, 547, 4522, 25937, 269, 3509, 6082, 1472, 519, 1158, 2221, 1869, 946, 2853, 1455, 547, 519, 2904, 553, 543, 666, 1140, 652, 547, 519, 1249, 602, 519, 4480, 568, 1360, 15319, 543, 1360, 3500, 269, 476, 277, 10266, 995, 3157, 971, 607, 713, 941, 1455, 1851, 519, 1004, 540, 12379, 334, 15330, 3821, 543, 616, 3807, 1776, 1383, 540, 14842, 563, 7212, 5959, 14842, 729, 811, 540, 513, 16560, 4990, 540, 1184, 267, 621, 20866, 729, 3908, 547, 1346, 945, 941, 8348, 547, 16641, 519, 1928, 269, 589, 1447, 11213, 4990, 540, 1560, 15022, 3512, 566, 568, 602, 799, 729, 1034, 4922, 1031, 538, 962, 1075, 27979, 1107, 1560, 5862, 269, 17186, 532, 6505, 804, 904, 543, 1216, 2356, 1500, 891, 19267, 269, 769, 1022, 8320, 267, 7311, 891, 804, 904, 547, 519, 1560, 1131, 581, 1031, 607, 513, 4159, 585, 6370, 269, 10266, 1206, 540, 1114, 4778, 941, 538, 930, 2665, 2404, 609, 1114, 1004, 269, 14117, 23416, 941, 4448, 547, 4190, 2021, 10838, 519, 25069, 14369, 267, 1247, 4544, 729, 4122, 513, 20119, 17820, 593, 5929, 15609, 19562, 1149, 563, 21930, 2367, 1419, 24224, 2933, 609, 3109, 5862, 2394, 741, 7365, 610, 2394, 789, 941, 15868, 547, 21003, 21749, 2933, 269, 4107, 4122, 13556, 4025, 593, 519, 1560, 22157, 547, 581, 519, 2062, 21650, 267, 17534, 267, 543, 4064, 610, 519, 6805, 269, 5071, 338, 7902, 593, 1082, 2694, 540, 519, 2539, 1560, 1519, 519, 25427, 338, 267, 7916, 267, 543, 8731, 810, 269, 22458, 2126, 729, 1776, 1271, 2460, 540, 2038, 12379, 334, 26410, 2486, 269, 634, 6805, 1185, 24215, 14969, 5574, 585, 741, 4552, 269, 25069, 322, 1453, 267, 8695, 543, 6690, 7567, 1185, 741, 4552, 16013, 4364, 2110, 1210, 8325, 7405, 865, 602, 568, 4553, 519, 3337, 540, 741, 2212, 563, 1607, 30174, 2394, 789, 941, 9170, 689, 2085, 476, 1015, 547, 476, 1321, 950, 519, 1689, 540, 15603, 741, 4552, 1332, 1279, 538, 519, 1394, 729, 11807, 279, 5221, 4552, 729, 865, 3362, 1689, 762, 267, 3362, 1036, 10273, 730, 267, 543, 4448, 547, 519, 1560, 693, 782, 2053, 621, 729, 606, 1271, 4183, 593, 1082, 12379, 334, 15330, 15092, 543, 1031, 607, 606, 32165, 538, 1082, 6381, 269, 4107, 2053, 519, 7004, 540, 513, 1762, 25069, 322, 8695, 4552, 729, 2047, 17047, 547, 1010, 11984, 607, 513, 24116, 280, 3962, 1762, 7911, 729, 30039, 585, 1169, 27604, 646, 1185, 9676, 543, 729, 4847, 547, 723, 513, 1114, 9376, 540, 4552, 1332, 1279, 538, 519, 1394, 585, 1142, 563, 5194, 1383, 1131, 581, 602, 540, 513, 1126, 945, 1185, 6131, 1010, 610, 1200, 1272, 547, 519, 11454, 693, 513, 1762, 2085, 269, 769, 713, 25896, 789, 941, 2111, 519, 1832, 741, 4552, 538, 513, 1279, 9376, 540, 6107, 269, 1717, 267, 2021, 945, 5912, 539, 883, 2937, 4567, 941, 3592, 2838, 547, 12622, 741, 4552, 267, 1317, 6417, 4552, 6825, 1852, 540, 2937, 14920, 269, 7756, 10659, 540, 1279, 4552, 26998, 695, 8491, 2127, 941, 1031, 547, 1665, 1114, 3029, 540, 2937, 4074, 543, 14920, 269, 769, 2490, 267, 4552, 729, 1271, 585, 4797, 14842, 540, 519, 1560, 543, 2838, 1454, 3007, 269, 476, 1015, 6271, 1271, 2460, 540, 12379, 334, 26410, 2486, 729, 602, 540, 3276, 10118, 563, 289, 584, 10118, 3459, 6220, 1560, 610, 23788, 1063, 476, 6344, 271, 543, 476, 12010, 7460, 8151, 689, 6239, 6792, 547, 670, 1180, 32136, 269, 10610, 610, 23788, 941, 1419, 1031, 607, 3983, 2471, 540, 1514, 4567, 543, 1256, 1282, 2669, 713, 729, 711, 547, 581, 16618, 269, 2060, 519, 13742, 1336, 10838, 519, 4666, 972, 616, 1082, 1806, 602, 8190, 2853, 540, 1560, 14842, 543, 15022, 3512, 566, 269, 7435, 21524, 601, 539, 17375, 19562, 1149, 1459, 721, 609, 606, 2856, 540, 519, 1852, 540, 1268, 3125, 543, 4008, 1369, 519, 2551, 540, 519, 9082, 540, 12379, 334, 15330, 3821, 269, 634, 29501, 532, 540, 891, 2853, 2982, 513, 1686, 602, 568, 5532, 676, 519, 1570, 1436, 540, 3023, 543, 519, 30115, 540, 15629, 5920, 563, 28606, 838, 8962, 267, 8405, 20805, 1218, 267, 543, 22204, 540, 5180, 19273, 693, 519, 8405, 543, 21389, 1235, 941, 1455, 2609, 1336, 538, 19746, 4609, 269, 2423, 838, 8962, 267, 1373, 835, 540, 519, 6574, 1541, 13294, 1851, 782, 15629, 610, 23788, 267, 941, 3908, 547, 946, 540, 4079, 543, 2408, 547, 581, 835, 540, 519, 6574, 6610, 29913, 540, 2085, 269, 1452, 12508, 540, 2937, 4567, 941, 1152, 4847, 1310, 2576, 740, 3144, 513, 26956, 610, 2016, 4332, 269, 26270, 4634, 1282, 2669, 267, 4567, 543, 4008, 941, 711, 547, 581, 16618, 543, 941, 1869, 513, 1360, 1271, 851, 540, 12379, 334, 26410, 2245, 543, 1272, 543, 17820, 7361, 676, 15022, 3512, 566, 563, 5804, 22623, 658, 22775, 725, 547, 3478, 513, 4552, 2759, 267, 1560, 12381, 543, 15022, 3512, 566, 723, 1044, 1472, 585, 513, 1279, 942, 269, 10610, 12381, 711, 1152, 941, 23732, 585, 891, 3504, 9082, 282, 855, 513, 1665, 540, 519, 1272, 789, 5030, 543, 540, 741, 1909, 1369, 741, 9757, 7239, 269, 634, 2956, 540, 1560, 12381, 543, 15022, 3512, 566, 24132, 689, 11589, 1514, 4567, 547, 23732, 547, 10525, 1282, 6370, 269, 10610, 12381, 941, 865, 1271, 547, 1004, 540, 840, 6953, 529, 13732, 12379, 334, 15330, 3821, 1317, 789, 941, 513, 1259, 540, 1272, 269, 898, 729, 513, 2245, 585, 873, 543, 6825, 711, 1152, 741, 4008, 543, 960, 855, 267, 741, 1318, 540, 8574, 689, 1126, 547, 2937, 563, 5445, 20595, 891, 5389, 609, 11348, 543, 538, 2490, 2813, 513, 1259, 585, 721, 547, 3314, 741, 2528, 543, 18517, 11014, 269, 7736, 17084, 476, 272, 1547, 20717, 576, 267, 14986, 4424, 269, 968, 294, 26325, 519, 21756, 543, 15196, 532, 519, 15196, 281, 634, 13870, 540, 1520, 592, 11856, 538, 9147, 12379, 334, 15330, 3821, 269, 9232, 2622, 26337, 476, 4029, 269, 476, 274, 630, 1220, 271, 2567, 476, 5325, 274, 268, 476, 4366, 274, 269, 7179, 269, 476, 273, 269, 20717, 576, 267, 14986, 4424, 269, 968, 6826, 2246, 344, 267, 11557, 7081, 267, 10610, 2107, 24842, 566, 267, 543, 13834, 538, 9147, 12379, 334, 29958, 320, 269, 769, 623, 2720, 3726, 540, 13834, 281, 2622, 4204, 16329, 1670, 22604, 269, 3798, 269, 8861, 631, 2683, 613, 20307, 543, 3733, 26713, 25347, 5025, 9234, 517, 269, 28469, 5069, 281, 18007, 2006, 1299, 9741, 7615, 267, 476, 1220, 273, 269, 476, 10037, 268, 10695, 269, 476, 274, 269, 20717, 576, 267, 14986, 4424, 269, 13834, 538, 2776, 6953, 529, 13732, 3013, 563, 29910, 667, 269, 595, 269, 2433, 667, 3518, 691, 517, 744, 6545, 267, 476, 1220, 272, 269, 476, 11820, 268, 11277, 269, 7179, 269, 476, 275, 269, 20717, 576, 267, 14986, 4424, 269, 13834, 538, 2776, 268, 17104, 3013, 269, 6115, 667, 269, 595, 269, 2433, 667, 3518, 691, 517, 744, 6545, 267, 476, 1220, 272, 269, 476, 11820, 268, 11277, 269, 7179, 269, 476, 276, 269, 966, 1173, 553, 267, 7931, 3266, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15008, 454, 20779, 565, 819, 4016, 547, 519, 1184, 540, 18928, 24905, 1782, 610, 21006, 513, 2679, 610, 2497, 267, 2901, 7357, 610, 13148, 269, 901, 3322, 519, 946, 540, 1585, 2553, 971, 607, 14885, 1161, 267, 20739, 9535, 11084, 267, 610, 12227, 547, 3142, 1524, 519, 2497, 9108, 269, 11412, 990, 566, 267, 27327, 267, 543, 16701, 1709, 798, 711, 8209, 4125, 519, 2347, 610, 9864, 9552, 540, 513, 2679, 267, 1818, 873, 11234, 5079, 585, 713, 2243, 780, 31948, 713, 2243, 1384, 1892, 476, 3066, 780, 2162, 5272, 2679, 936, 21718, 2984, 538, 4463, 568, 5227, 547, 581, 3177, 609, 1100, 1447, 982, 476, 274, 9516, 10916, 5787, 21106, 780, 1892, 589, 780, 736, 692, 1892, 645, 780, 1626, 692, 1892, 595, 780, 1691, 692, 1892, 667, 780, 1015, 692, 291, 269, 476, 1015, 454, 15008, 454, 30395, 902, 936, 476, 1015, 2984, 538, 4463, 616, 5227, 547, 581, 3177, 609, 1100, 1447, 982, 476, 274, 9516, 10916, 5787, 21106, 269, 901, 1797, 602, 1022, 2679, 602, 568, 26339, 982, 476, 1015, 2984, 1058, 723, 693, 2547, 476, 274, 540, 891, 3457, 8704, 269, 1452, 5787, 21106, 616, 1031, 547, 2268, 543, 2594, 519, 10231, 540, 519, 2679, 1282, 20381, 2621, 267, 971, 607, 16767, 269, 1635, 2348, 2789, 3457, 267, 621, 5849, 602, 972, 568, 21336, 3599, 543, 4977, 1239, 666, 581, 6394, 689, 1114, 6753, 1369, 519, 2679, 780, 31948, 713, 2243, 1384, 1892, 476, 1789, 780, 2162, 5843, 568, 513, 18772, 2495, 476, 1015, 6659, 547, 519, 1379, 2496, 1892, 589, 780, 274, 692, 1892, 645, 780, 268, 274, 692, 1892, 595, 780, 268, 277, 692, 1892, 667, 780, 268, 280, 692, 290, 269, 910, 277, 454, 15008, 454, 763, 18772, 834, 332, 2222, 257, 568, 1031, 547, 2099, 835, 2929, 628, 630, 272, 270, 272, 267, 1822, 267, 1822, 264, 540, 513, 1770, 269, 769, 3621, 10035, 267, 621, 568, 6719, 607, 476, 1015, 6659, 547, 519, 1379, 540, 910, 277, 269, 4475, 267, 519, 2953, 2626, 568, 910, 277, 780, 31948, 713, 2243, 1384, 1892, 476, 4029, 780, 2162, 634, 4222, 540, 513, 18061, 568, 8200, 593, 1384, 1892, 589, 780, 10870, 1127, 542, 540, 3037, 692, 1892, 645, 780, 291, 3704, 540, 18061, 692, 1892, 595, 780, 1103, 4156, 5086, 540, 11508, 540, 3037, 692, 1892, 667, 780, 5472, 540, 519, 1657, 692, 291, 269, 2353, 540, 519, 1657, 454, 15008, 454, 763, 4222, 540, 513, 18061, 568, 8200, 593, 519, 22122, 540, 519, 3037, 267, 799, 4016, 547, 519, 2702, 540, 519, 3037, 5536, 547, 6529, 1927, 269, 589, 2362, 22122, 786, 1267, 538, 513, 6793, 18061, 269, 634, 3178, 540, 519, 18061, 849, 4249, 513, 2629, 1909, 607, 621, 11887, 875, 1454, 4452, 519, 18061, 666, 7703, 269, 589, 4514, 18061, 666, 1489, 513, 3152, 4452, 269, 3958, 267, 519, 4835, 5086, 540, 11508, 540, 519, 3037, 5540, 519, 18061, 781, 4222, 269, 589, 2362, 5086, 540, 11508, 786, 1683, 811, 4187, 1996, 14694, 4229, 269, 4475, 267, 782, 540, 891, 2188, 3565, 547, 519, 4222, 540, 513, 18061, 780, 31948, 713, 2243, 1384, 1892, 476, 3953, 780, 2162, 898, 568, 513, 2566, 3812, 676, 519, 1689, 538, 519, 4478, 2837, 1384, 1892, 589, 780, 289, 8960, 2566, 692, 1892, 645, 780, 288, 343, 658, 2566, 692, 1892, 595, 780, 307, 615, 7356, 2566, 692, 1892, 667, 780, 9515, 541, 2566, 692, 290, 269, 26365, 2566, 454, 15008, 454, 307, 615, 7356, 2566, 4016, 547, 519, 2566, 602, 568, 6383, 538, 513, 1570, 1813, 547, 513, 1689, 538, 2837, 269, 1879, 513, 1570, 25457, 513, 2837, 1689, 267, 621, 21040, 610, 11731, 267, 4929, 4835, 17613, 269, 1452, 17613, 666, 1291, 547, 22636, 610, 5821, 540, 519, 1570, 952, 789, 9765, 922, 4222, 269, 4475, 267, 8143, 2566, 568, 513, 26363, 7778, 585, 519, 2566, 3812, 676, 519, 1689, 538, 519, 4478, 2837, 780, 31948, 713, 2243, 1384, 1892, 476, 3451, 780, 2162, 898, 568, 513, 2566, 3812, 676, 513, 17444, 3196, 602, 11148, 547, 20436, 622, 513, 4759, 1384, 1892, 589, 780, 307, 839, 850, 2566, 692, 1892, 645, 780, 289, 1180, 2566, 692, 1892, 595, 780, 15253, 4809, 2566, 692, 1892, 667, 780, 289, 8960, 2566, 692, 288, 269, 570, 839, 850, 2566, 454, 15008, 454, 307, 839, 850, 2566, 568, 519, 2953, 2626, 1317, 621, 568, 513, 2566, 602, 4386, 950, 513, 17444, 3196, 568, 4294, 547, 513, 4759, 267, 4929, 621, 547, 20436, 622, 269, 901, 1826, 540, 2566, 568, 4122, 2938, 538, 2326, 899, 5374, 610, 887, 6647, 950, 789, 616, 16271, 547, 15198, 610, 17444, 4229, 269, 570, 839, 850, 2566, 568, 1271, 547, 2015, 538, 4702, 543, 4070, 547, 2327, 519, 4222, 543, 15006, 540, 3889, 543, 2326, 780, 31948, 713, 2243, 1384, 1892, 476, 4097, 780, 2162, 898, 568, 849, 1634, 607, 4931, 325, 22460, 267, 11876, 641, 267, 543, 4556, 628, 2566, 1384, 1892, 589, 780, 303, 684, 4221, 19852, 2566, 692, 1892, 645, 780, 307, 836, 1113, 2566, 692, 1892, 595, 780, 307, 839, 850, 2566, 692, 1892, 667, 780, 16524, 15994, 2566, 692, 291, 269, 7043, 15994, 2566, 454, 15008, 454, 16524, 15994, 2566, 4016, 547, 519, 2566, 602, 6411, 538, 519, 19976, 4287, 540, 606, 1843, 267, 6252, 547, 922, 3259, 269, 898, 568, 849, 1634, 607, 30212, 2566, 269, 901, 1826, 540, 2566, 4386, 950, 513, 3196, 568, 4294, 13902, 547, 519, 3444, 22891, 1858, 540, 606, 1843, 267, 4929, 621, 547, 12701, 610, 14771, 2059, 922, 3259, 269, 769, 519, 2016, 3681, 267, 519, 2165, 834, 14075, 15994, 257, 4481, 12211, 547, 2566, 9117, 538, 519, 4287, 540, 3259, 267, 1818, 621, 519, 2953, 2626, 780, 31948, 713, 2243, 1384, 1892, 476, 3374, 780, 2162, 6904, 540, 519, 1739, 568, 10691, 1031, 547, 4194, 11237, 1219, 27928, 2496, 1892, 589, 780, 22704, 2173, 30291, 1505, 692, 1892, 645, 780, 291, 19302, 10784, 1122, 1674, 692, 1892, 595, 780, 3519, 24503, 622, 11237, 1505, 692, 1892, 667, 780, 300, 30291, 3892, 1505, 692, 291, 269, 28850, 3892, 1505, 454, 15008, 454, 763, 4090, 3892, 1505, 568, 711, 1031, 547, 4194, 11237, 1219, 27928, 269, 901, 1505, 568, 5097, 1031, 547, 5659, 543, 15814, 8090, 538, 6024, 20832, 543, 14604, 269, 898, 568, 513, 4480, 602, 29776, 519, 2079, 540, 967, 9057, 3729, 3889, 676, 26084, 519, 8090, 693, 519, 7028, 1759, 593, 20765, 543, 24364, 17356, 269, 1717, 267, 621, 1281, 711, 2047, 4194, 585, 11237, 1219, 27928, 267, 799, 616, 3335, 5462, 1210, 2409, 971, 607, 519, 1858, 2173, 30291, 1505, 267, 5595, 10784, 1122, 1674, 267, 610, 519, 31669, 11237, 1505, 780, 31948, 713, 2243, 1384, 1892, 476, 3607, 780, 2162, 589, 10581, 568, 513, 13718, 1892, 589, 780, 307, 1231, 19431, 787, 1907, 692, 1892, 645, 780, 303, 31021, 1907, 692, 1892, 595, 780, 16978, 3740, 1907, 692, 1892, 667, 780, 300, 21863, 1907, 692, 291, 269, 631, 21863, 1907, 454, 15008, 454, 288, 10581, 568, 513, 544, 21863, 1907, 1031, 538, 519, 1184, 540, 18138, 6405, 7252, 269, 898, 568, 3335, 1500, 540, 3574, 267, 4496, 267, 610, 5068, 543, 814, 513, 6366, 14328, 610, 4009, 3337, 269, 634, 10581, 568, 1031, 547, 5347, 543, 1377, 519, 2627, 540, 28448, 23953, 6405, 267, 4543, 547, 4894, 1022, 20541, 687, 610, 2011, 18616, 269, 898, 568, 606, 1898, 1907, 538, 544, 21863, 960, 543, 568, 4122, 1031, 676, 4648, 538, 4070, 543, 6405, 18138, 780, 31948, 713, 2243, 1384, 1892, 476, 4391, 780, 2162, 1548, 568, 519, 4542, 547, 1205, 519, 1858, 540, 519, 6906, 2496, 1892, 589, 780, 289, 327, 692, 1892, 645, 780, 272, 270, 273, 536, 327, 692, 1892, 595, 780, 291, 273, 270, 275, 692, 1892, 667, 780, 22607, 272, 266, 327, 273, 264, 299, 476, 273, 692, 289, 269, 476, 272, 270, 273, 536, 327, 454, 15008, 454, 763, 4542, 547, 5173, 519, 1858, 540, 513, 6906, 568, 476, 272, 270, 273, 3490, 2053, 4463, 630, 272, 270, 273, 536, 327, 1040, 901, 4542, 568, 6508, 689, 519, 1249, 602, 519, 1858, 540, 513, 6906, 568, 3160, 547, 3368, 519, 1587, 540, 922, 3490, 543, 4463, 269, 1635, 14921, 519, 3490, 543, 4463, 540, 519, 6906, 543, 12270, 621, 676, 476, 273, 267, 649, 666, 3489, 519, 1858, 540, 519, 6906, 780, 31948, 713, 2243, 1384, 1892, 476, 4343, 780, 2162, 634, 8800, 593, 513, 7450, 547, 13918, 519, 5679, 984, 543, 25437, 564, 1883, 23346, 1384, 1892, 589, 780, 292, 2675, 583, 3832, 517, 692, 1892, 645, 780, 21615, 749, 8718, 692, 1892, 595, 780, 2710, 528, 9376, 1698, 692, 1892, 667, 780, 303, 2313, 6676, 692, 288, 269, 18521, 583, 3832, 517, 454, 15008, 454, 2304, 1965, 12827, 3832, 517, 568, 513, 16560, 6676, 602, 568, 1031, 547, 3382, 519, 1883, 23346, 543, 824, 8800, 593, 513, 7450, 269, 898, 568, 2966, 547, 1683, 513, 8737, 543, 25509, 1413, 547, 519, 7450, 267, 1247, 849, 7863, 519, 8800, 269, 634, 1965, 12827, 3832, 517, 568, 3335, 1500, 540, 4496, 543, 666, 581, 1336, 538, 1585, 5546, 543, 6272, 547, 6474, 519, 2511, 540, 519, 7450, 269, 898, 568, 606, 1898, 5057, 538, 4180, 519, 10342, 543, 12716, 9029, 540, 519, 7450, 781, 5679, 984, 543, 25437, 564, 780, 31948, 713, 2243, 1384, 1892, 476, 4375, 780, 2162, 634, 29632, 573, 673, 13766, 547, 2285, 267, 547, 798, 267, 610, 711, 547, 798, 1384, 1892, 589, 780, 6944, 847, 692, 1892, 645, 780, 27916, 20995, 1931, 692, 1892, 595, 780, 300, 10056, 585, 556, 4621, 573, 3130, 692, 1892, 667, 780, 302, 4565, 12720, 692, 291, 269, 744, 4565, 12720, 454, 15008, 454, 2304, 17185, 4016, 547, 513, 29632, 573, 673, 13766, 547, 2285, 267, 798, 267, 610, 711, 798, 1945, 269, 898, 568, 513, 3656, 610, 5837, 10279, 602, 835, 568, 3808, 547, 11886, 269, 769, 519, 2796, 540, 519, 2016, 3681, 267, 513, 4579, 267, 1964, 20995, 1931, 267, 543, 5163, 585, 556, 4621, 573, 3130, 616, 782, 3656, 7405, 610, 3527, 602, 666, 1711, 13800, 269, 1717, 267, 519, 2165, 834, 984, 5554, 566, 257, 568, 513, 811, 2489, 543, 21214, 1523, 602, 666, 4019, 547, 1585, 3656, 3871, 267, 6466, 519, 824, 3681, 616, 1808, 3656, 2474, 609, 7522, 518, 1085, 8554, 780, 31948, 713, 2243, 1384, 1892, 476, 2412, 780, 2162, 589, 2182, 267, 28221, 267, 22803, 6219, 267, 3921, 27274, 6037, 1075, 550, 610, 12001, 267, 3812, 676, 13621, 513, 7848, 540, 13339, 267, 513, 13441, 543, 513, 11689, 6500, 1384, 1892, 589, 780, 10908, 817, 692, 1892, 645, 780, 5522, 2880, 692, 1892, 595, 780, 10907, 564, 622, 692, 1892, 667, 780, 11321, 1076, 692, 288, 269, 19371, 454, 15008, 454, 10908, 817, 568, 513, 2182, 267, 28221, 267, 22803, 6219, 602, 568, 2356, 6037, 1075, 550, 610, 12001, 269, 898, 568, 3812, 676, 13621, 513, 7848, 540, 13339, 267, 513, 13441, 267, 543, 513, 11689, 6500, 269, 19371, 568, 1634, 585, 922, 28221, 2470, 543, 568, 4122, 1031, 538, 9486, 267, 14569, 267, 543, 1585, 824, 3156, 269, 21311, 267, 21449, 622, 267, 543, 18899, 616, 711, 3812, 538, 519, 1482, 1259, 607, 4837, 543, 798, 711, 4865, 519, 1482, 4162, 780, 31948, 713, 2243, 1384, 1892, 476, 6078, 780, 2162, 634, 11090, 11530, 2165, 585, 12813, 3198, 292, 630, 8364, 335, 18782, 1907, 17107, 1892, 589, 780, 299, 4157, 984, 692, 1892, 645, 780, 25508, 564, 692, 1892, 595, 780, 24938, 1176, 334, 692, 1892, 667, 780, 298, 520, 600, 692, 291, 269, 15576, 600, 454, 15008, 454, 763, 2953, 2626, 568, 834, 298, 520, 600, 257, 1317, 621, 568, 519, 1152, 2165, 538, 519, 2016, 3681, 602, 4016, 547, 513, 15790, 18782, 1907, 269, 834, 299, 4157, 984, 257, 1797, 547, 16784, 610, 18846, 267, 834, 25508, 564, 257, 1797, 669, 529, 601, 267, 543, 834, 24938, 1176, 334, 257, 1797, 17200, 267, 9039, 540, 799, 616, 15790, 18782, 2645, 4481, 780, 31948, 713, 2243, 1384, 1892, 476, 5655, 780, 2162, 589, 24348, 4224, 5631, 540, 7513, 543, 19941, 1384, 1892, 589, 780, 1892, 645, 780, 306, 663, 7723, 692, 1892, 595, 780, 26855, 650, 924, 692, 1892, 667, 780, 9199, 3200, 710, 692, 290, 269, 14803, 650, 924, 454, 15008, 454, 26855, 650, 924, 568, 513, 1826, 540, 24348, 4224, 602, 568, 5631, 7768, 540, 7513, 543, 19941, 269, 898, 568, 4646, 689, 519, 735 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 1012, 4310, 585, 948, 3403, 454, 1012, 454, 5814, 2415, 27785, 692, 1012, 4310, 547, 3406, 1463, 1559, 888, 1012, 454, 5814, 15259, 454, 5814, 1535, 331, 6113, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 4408, 815, 11713, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 4590, 825, 16163, 518, 14491, 318, 30348, 3488, 12803, 3299, 562, 16911, 8782, 265, 10807, 3097, 825, 4632, 815, 16163, 518, 269, 27785, 318, 16911, 10797, 825, 12361, 641, 839, 14133, 6119, 454, 825, 12361, 454, 825, 585, 535, 538, 4632, 8807, 850, 912, 1038, 1327, 815, 630, 325, 994, 1038, 530, 321, 815, 1535, 331, 6113, 269, 13449, 318, 1740, 1504, 10857, 665, 264, 8528, 825, 12361, 2998, 525, 998, 1142, 4976, 538, 23519, 454, 825, 12361, 454, 1038, 585, 6656, 19571, 538, 2039, 263, 271, 267, 530, 321, 269, 985, 19298, 17107, 2018, 6656, 815, 530, 321, 4732, 18694, 318, 2421, 16229, 4433, 18694, 19571, 994, 2018, 6656, 269, 3250, 19056, 263, 271, 267, 476, 271, 264, 8528, 2018, 12361, 2998, 525, 998, 782, 9343, 538, 476, 274, 6113, 6241, 454, 2018, 12361, 454, 2018, 585, 1775, 538, 2039, 4433, 18694, 8542, 4900, 2567, 3097, 3546, 1820, 4433, 18694, 269, 3250, 19056, 9217, 267, 476, 273, 4917, 3546, 4408, 6910, 4433, 18694, 269, 3250, 19056, 9217, 267, 476, 273, 11723, 825, 12361, 338, 2176, 2063, 2012, 1287, 1101, 454, 825, 12361, 454, 825, 4408, 815, 15044, 3799, 1868, 267, 1883, 284, 14433, 1535, 281, 630, 343, 21858, 2891, 834, 264, 15631, 272, 3910, 1535, 21858, 2891, 834, 25011, 271, 8079, 2020, 825, 585, 562, 538, 4408, 912, 1038, 1820, 562, 454, 0, 5814, 4351, 1477, 5228, 2979, 1104, 21762, 1477, 3698, 3355, 1125, 294, 5090, 3799, 267, 28186, 8029, 825, 585, 1535, 538, 2039, 4433, 336, 337, 8029, 1038, 7470, 20572, 316, 17342, 343, 267, 16178, 267, 272, 316, 258, 314, 10174, 267, 529, 15411, 267, 21653, 15947, 825, 7470, 15631, 272, 24557, 15631, 272, 267, 12148, 267, 272, 15947, 825, 7470, 314, 338, 336, 337, 316, 17342, 338, 336, 337, 267, 12148, 267, 272, 15947, 3698, 1930, 306, 924, 16325, 8029, 825, 952, 7470, 314, 11133, 6012, 272, 316, 2525, 16178, 6769, 1038, 7470, 314, 11133, 6012, 272, 24557, 12148, 1477, 1038, 2132, 476, 272, 1477, 1038, 1948, 11133, 15411, 23785, 272, 1477, 825, 3116, 2433, 1477, 1038, 2132, 476, 271, 1477, 3698, 568, 15411, 3799, 8029, 825, 2132, 7470, 19559, 6012, 272, 15947, 3698, 3597, 3799, 267, 28186, 8029, 1038, 1247, 3799, 256, 284, 28186, 19559, 6012, 271, 316, 8029, 2018, 7470, 19559, 6012, 271, 24557, 28186, 314, 28186, 19559, 6012, 271, 316, 6012, 271, 15947, 2018, 562, 284, 28186, 19559, 6012, 271, 15947, 1038, 2132, 562, 5897, 3698, 2656, 4462, 542, 9638, 267, 336, 267, 28186, 8029, 1038, 1775, 284, 10174, 9638, 267, 28186, 3418, 1038, 795, 284, 10174, 32429, 267, 28186, 3418, 1038, 952, 9217, 2525, 329, 8029, 2018, 2132, 1477, 1038, 952, 630, 28186, 5157, 6012, 273, 316, 283, 28186, 14728, 6012, 273, 316, 8029, 2018, 7470, 5157, 6012, 271, 24557, 329, 1477, 2018, 7470, 14728, 6012, 273, 316, 23785, 28186, 5157, 6012, 273, 15947, 1038, 3116, 6769, 2018, 7470, 14728, 6012, 271, 24557, 328, 1477, 2018, 7470, 5157, 6012, 273, 316, 23785, 28186, 14728, 6012, 273, 15947, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 562, 25722, 284, 14090, 17301, 267, 3863, 17750, 14061, 20889, 15405, 825, 13483, 337, 284, 333, 265, 333, 1477, 825, 533, 309, 1023, 17342, 15947, 825, 585, 1449, 538, 2039, 6025, 8029, 1038, 7470, 284, 24001, 1477, 1038, 1003, 15411, 284, 271, 454, 1038, 3355, 1125, 294, 5090, 3799, 267, 28186, 3418, 1038, 1247, 6936, 6769, 2018, 28219, 284, 12690, 20120, 9792, 263, 271, 29679, 336, 337, 10142, 2018, 1003, 15411, 23785, 13449, 306, 924, 263, 8681, 3418, 2018, 952, 568, 15411, 263, 8681, 266, 272, 8029, 3546, 2656, 4462, 542, 263, 8681, 267, 8681, 266, 272, 267, 28186, 3418, 2018, 952, 568, 15411, 263, 8681, 268, 272, 8029, 3546, 2656, 4462, 542, 263, 8681, 267, 8681, 268, 272, 267, 28186, 3418, 2018, 952, 568, 15411, 32384, 8987, 272, 267, 8681, 5991, 264, 8029, 3546, 2656, 4462, 542, 263, 8681, 267, 10946, 8987, 272, 267, 8681, 5991, 1070, 28186, 3418, 2018, 952, 568, 15411, 263, 2381, 4433, 336, 337, 267, 8681, 266, 333, 264, 8029, 3546, 2656, 4462, 542, 263, 8681, 267, 2381, 4433, 336, 337, 267, 8681, 266, 333, 1070, 28186, 10142, 2018, 952, 3597, 8987, 272, 267, 28186, 264, 2525, 10174, 4433, 336, 337, 267, 28186, 2567, 258, 3832, 4242, 585, 829, 3712, 566, 1477, 3546, 533, 309, 1023, 6910, 16325, 15411, 3418, 3546, 1948, 2745, 1003, 15411, 1477, 3546, 2736, 454, 825, 1611, 284, 15615, 4433, 636, 9638, 309, 1023, 4297, 14370, 15615, 6025, 12684, 15615, 4433, 336, 337, 17903, 825, 1820, 1412, 13614, 284, 22207, 1611, 1477, 825, 2698, 284, 271, 1477, 825, 585, 1130, 538, 533, 309, 1023, 6769, 1038, 2698, 266, 14352, 15615, 263, 1998, 8358, 15615, 4433, 336, 337, 9984, 11743, 264, 1262, 273, 1477, 825, 588, 22563, 284, 6912, 263, 15615, 6025, 4973, 8358, 15615, 6025, 268, 272, 17903, 825, 1820, 834, 1805, 323, 8061, 284, 14307, 560, 22563, 1477, 825, 8884, 17342, 11743, 24179, 272, 269, 9834, 265, 560, 22563, 8358, 6912, 6025, 1070, 11743, 23444, 272, 269, 9834, 265, 560, 22563, 8358, 6912, 6025, 13580, 1477, 825, 1820, 5727, 4817, 260, 6015, 8884, 834, 257, 2580, 5793, 1998, 1477, 0, 258, 5994, 649, 723, 513, 9352, 3529, 609, 2318, 9981, 693, 1142, 6843, 1477, 258, 23548, 1456, 693, 519, 1283, 540, 519, 3529, 267, 649, 666, 1106, 513, 2619, 1524, 519, 3529, 543, 1477, 258, 946, 519, 9981, 689, 1142, 6843, 5293, 547, 1106, 513, 2040, 23228, 258, 4855, 519, 2619, 609, 519, 4102, 2040, 538, 519, 2016, 3529, 269, 5897, 258, 7151, 540, 9352, 3529, 609, 1614, 2157, 1477, 258, 4848, 453, 3393, 1477, 258, 453, 453, 3953, 453, 453, 6858, 1477, 258, 453, 1691, 453, 453, 2190, 453, 453, 9032, 1477, 258, 1477, 258, 1924, 1917, 1456, 693, 476, 3393, 267, 649, 666, 3442, 513, 2619, 998, 476, 3953, 610, 476, 6858, 23228, 258, 1403, 649, 3442, 267, 2161, 267, 476, 3953, 267, 649, 666, 1287, 3136, 938, 2619, 998, 476, 1691, 610, 476, 2190, 23228, 258, 769, 713, 1383, 621, 568, 2312, 602, 972, 616, 476, 275, 2009, 10092, 269, 5897, 258, 25663, 28513, 6769, 5814, 26417, 5897, 5976, 1930, 3488, 701, 318, 1240, 10734, 2435, 4671, 872, 27406, 10807, 607, 26417, 12803, 6769, 453, 325, 815, 26417, 18667, 518, 6262, 12364, 12803, 267, 23437, 574, 3438, 8782, 1412, 3418, 453, 29728, 815, 1496, 15947, 22610, 4737, 538, 476, 535, 6769, 453, 453, 29728, 815, 3529, 1341, 1496, 992, 15947, 258, 901, 786, 7485, 519, 9352, 3529, 585, 1966, 476, 1240, 24653, 1721, 1775, 538, 2039, 263, 271, 267, 6352, 6025, 872, 264, 8029, 22610, 795, 538, 2039, 263, 271, 267, 6352, 6025, 872, 5157, 8079, 8029, 453, 453, 29728, 5157, 6012, 329, 316, 815, 703, 6025, 872, 5157, 6012, 329, 29573, 258, 634, 3529, 3568, 1193, 282, 713, 3948, 2242, 13366, 547, 703, 1826, 269, 24653, 3698, 3193, 24786, 23544, 3799, 8029, 453, 258, 901, 786, 2285, 519, 6099, 2619, 2040, 23228, 453, 6112, 7003, 3799, 264, 3436, 476, 272, 6769, 453, 453, 2908, 992, 815, 1496, 15947, 453, 22610, 1535, 538, 2039, 12759, 3799, 15631, 273, 8079, 8029, 4848, 453, 2908, 992, 815, 1007, 992, 1341, 1496, 10946, 3799, 15631, 273, 6012, 343, 316, 1341, 562, 15631, 272, 6012, 343, 3910, 1477, 4848, 453, 333, 15631, 273, 6012, 343, 316, 1341, 562, 15631, 272, 6012, 343, 266, 272, 8079, 15947, 453, 453, 333, 815, 562, 314, 271, 281, 6352, 3799, 9984, 273, 316, 1341, 1496, 2908, 992, 15947, 16596, 562, 314, 271, 6012, 271, 316, 5897, 2745, 32384, 24786, 23544, 6025, 872, 264, 10142, 258, 8382, 281, 476, 13040, 275, 5897, 258, 19556, 4967, 281, 634, 1297, 540, 1761, 10092, 9428, 693, 21506, 258, 513, 2557, 540, 476, 273, 1262, 343, 267, 1141, 1535, 568, 835, 1447, 982, 519, 2698, 1297, 540, 9343, 23228, 258, 901, 1297, 4679, 2864, 3728, 267, 865, 602, 585, 1804, 2338, 540, 21506, 258, 9343, 621, 786, 581, 11389, 32208, 547, 2040, 2059, 782, 10092, 269, 1924, 649, 1590, 1265, 1477, 258, 513, 811, 2498, 324, 2615, 1505, 269, 5897, 258, 901, 3070, 3340, 930, 7778, 269, 1548, 649, 786, 798, 568, 21506, 258, 960, 689, 519, 5377, 540, 519, 3529, 269, 6333, 519, 4050, 738, 1493, 4737, 23228, 258, 3245, 1169, 7127, 593, 713, 4737, 267, 972, 616, 4010, 1079, 10092, 23228, 258, 1284, 2824, 519, 6099, 2619, 998, 713, 6843, 267, 543, 1039, 602, 1871, 1477, 258, 547, 1205, 513, 1007, 4050, 738, 1493, 4737, 269, 5897, 258, 769, 519, 1383, 840, 3865, 532, 519, 3009, 267, 649, 1185, 519, 3529, 1477, 258, 4848, 453, 3393, 1477, 258, 453, 453, 3953, 453, 453, 6858, 1477, 258, 453, 1691, 453, 453, 2190, 453, 453, 9032, 5897, 258, 3371, 519, 4050, 738, 1493, 4737, 568, 519, 4737, 476, 3953, 476, 6858, 1477, 258, 3245, 476, 3953, 267, 519, 1655, 2619, 547, 1491, 786, 581, 998, 476, 2190, 1477, 258, 3245, 476, 6858, 267, 519, 1655, 2619, 786, 581, 998, 476, 9032, 1477, 258, 4935, 649, 28433, 606, 8242, 3529, 676, 4946, 476, 2190, 547, 476, 3953, 543, 476, 9032, 547, 476, 6858, 269, 5897, 258, 23560, 865, 3947, 721, 513, 1007, 3529, 1477, 258, 4848, 453, 3393, 1477, 258, 453, 453, 6321, 453, 453, 13932, 5897, 258, 8921, 649, 798, 519, 1482, 3364, 609, 519, 4050, 738, 1493, 4737, 540, 519, 1007, 3529, 23228, 0, 258, 8340, 519, 2040, 540, 782, 22136, 2630, 1079, 2929, 23228, 258, 763, 8945, 1934, 568, 4466, 606, 3608, 1505, 585, 4466, 519, 22136, 23228, 258, 1607, 568, 6913, 1210, 519, 521, 10079, 540, 661, 7806, 739, 1156, 525, 269, 5897, 258, 306, 5357, 28513, 281, 5897, 3698, 2040, 1993, 1440, 1307, 3799, 8029, 453, 258, 1607, 1101, 3787, 3029, 606, 5044, 540, 6936, 2418, 269, 3973, 1477, 453, 258, 11034, 532, 689, 476, 273, 267, 519, 8520, 786, 2196, 998, 519, 5044, 543, 21506, 453, 258, 4219, 1169, 476, 273, 265, 330, 7127, 538, 519, 5044, 547, 8771, 630, 20357, 789, 21506, 453, 258, 732, 711, 6305, 269, 3973, 621, 9060, 519, 1985, 6936, 1871, 543, 28197, 23228, 453, 338, 10079, 815, 1496, 12148, 585, 1775, 538, 2039, 3799, 266, 272, 13580, 1477, 453, 335, 815, 476, 273, 1477, 453, 6112, 533, 265, 335, 27045, 562, 6769, 453, 453, 258, 9616, 281, 1284, 1152, 991, 547, 2196, 533, 998, 9981, 1447, 982, 21506, 453, 453, 258, 6912, 540, 562, 269, 901, 568, 513, 1297, 5376, 6776, 2856, 23228, 453, 14851, 521, 10079, 314, 335, 316, 2652, 6936, 6769, 4848, 22610, 1775, 538, 2039, 9638, 265, 273, 19885, 266, 272, 28872, 8029, 15235, 453, 338, 10079, 5157, 316, 815, 8771, 1477, 453, 453, 335, 815, 533, 1341, 476, 272, 1477, 453, 258, 3086, 649, 2040, 936, 519, 17523, 540, 3020, 2418, 538, 519, 5044, 23228, 453, 8999, 815, 476, 271, 1477, 22610, 737, 538, 2039, 263, 273, 19885, 266, 272, 8029, 453, 14851, 521, 10079, 25208, 316, 2652, 6936, 6769, 4848, 453, 8999, 815, 2040, 1341, 737, 1477, 16596, 2040, 1477, 2745, 4433, 636, 1993, 1440, 1307, 263, 1220, 1822, 271, 4297, 4848, 1477, 0, 258, 9046, 476, 280, 2433, 7981, 25355, 17784, 339, 454, 258, 4179, 2517, 2889, 915, 324, 17526, 14492, 24579, 12378, 284, 280, 692, 12163, 2467, 6818, 4010, 835, 25355, 17784, 339, 585, 799, 513, 1341, 536, 1341, 524, 815, 476, 1911, 271, 563, 8340, 519, 1587, 705, 322, 563, 12163, 5228, 1187, 551, 8962, 1104, 2569, 7531, 3698, 1205, 4671, 8692, 3287, 2187, 825, 585, 586, 538, 2039, 263, 272, 267, 1911, 271, 2187, 1038, 1990, 815, 476, 1911, 271, 3917, 14870, 454, 1038, 952, 630, 343, 2878, 476, 273, 1341, 586, 1262, 273, 264, 2652, 1990, 1262, 273, 912, 2018, 2132, 6936, 7531, 3698, 1966, 318, 280, 10031, 825, 2626, 815, 1592, 6600, 559, 614, 263, 1326, 4671, 8692, 267, 314, 343, 585, 1535, 538, 2039, 263, 272, 267, 1911, 271, 13580, 4917, 825, 2626, 6910, 263, 1911, 271, 24179, 24987, 314, 271, 27994, 24987, 314, 272, 28413, 825, 1820, 263 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1607, 568, 513, 3126, 540, 3211, 602, 10274, 519, 4116, 543, 1053, 998, 513, 1900, 8386, 9912, 1184, 585, 1603, 2241, 14557, 638, 1622, 269, 634, 17142, 2882, 8846, 543, 5439, 269, 901, 568, 4712, 547, 834, 326, 4599, 543, 979, 2668, 595, 22055, 1622, 616, 513, 2241, 1259, 547, 6338, 1053, 547, 6965, 269, 901, 2534, 568, 3501, 585, 1053, 689, 476, 273, 526, 547, 476, 277, 628, 3446, 610, 3564, 563, 296, 993, 865, 6126, 602, 596, 1336, 707, 1259, 547, 932, 1779, 28545, 543, 2561, 956, 256, 594, 4126, 602, 596, 2972, 707, 4647, 256, 7490, 4734, 5955, 543, 1246, 803, 865, 602, 596, 666, 7118, 5491, 2509, 2104, 16306, 269, 0, 2171, 723, 782, 2938, 519, 27977, 543, 5010, 338, 18995, 5243, 30565, 532, 7633, 543, 588, 4770, 873, 2476, 585, 2663, 563, 2171, 723, 782, 2938, 519, 27977, 543, 5010, 338, 18995, 5243, 30565, 532, 7633, 543, 588, 4770, 873, 2476, 585, 2663, 269, 10251, 267, 1034, 4620, 5411, 616, 4625, 23387, 540, 519, 1713, 4220, 543, 2042, 2404, 609, 8023, 891, 13000, 269, 634, 3510, 814, 20335, 865, 3983, 602, 1256, 519, 15111, 814, 19230, 6800, 547, 2057, 4758, 7633, 547, 741, 5243, 563, 18770, 665, 919, 540, 6151, 4620, 3536, 543, 824, 865, 10777, 834, 11499, 11326, 257, 3409, 602, 267, 2016, 5265, 267, 7633, 616, 513, 1390, 1259, 547, 2973, 707, 4620, 781, 4522, 543, 1683, 606, 15859, 633, 1797, 540, 2566, 8323, 269, 2368, 1256, 1533, 602, 7633, 1683, 1271, 5567, 543, 1058, 581, 3769, 538, 707, 4620, 781, 3232, 6296, 563, 3383, 267, 568, 621, 15528, 547, 2285, 513, 2915, 513, 5642, 888, 7197, 14830, 12579, 2626, 602, 2243, 609, 513, 759, 15929, 834, 17472, 257, 585, 1896, 4128, 269, 2290, 540, 519, 1034, 1455, 2042, 585, 513, 2915, 609, 2834, 1569, 547, 7633, 568, 5762, 3293, 4522, 563, 309, 2678, 514, 12579, 786, 1294, 8966, 3270, 540, 19596, 5957, 267, 18015, 538, 519, 4522, 543, 1256, 11213, 18655, 540, 519, 22578, 4522, 610, 1804, 12387, 1513, 543, 6566, 565, 1513, 269, 4634, 952, 519, 17795, 3085, 1405, 1413, 3978, 267, 519, 4276, 540, 519, 3330, 540, 519, 5694, 609, 519, 3544, 1604, 666, 1291, 547, 26252, 525, 602, 1397, 909, 593, 519, 18665, 14794, 610, 896, 519, 3750, 269, 1452, 2175, 786, 2154, 513, 18915, 11290, 547, 1349, 519, 4299, 5694, 610, 1685, 513, 3597, 12324, 269, 23657, 540, 891, 5773, 786, 849, 2014, 1928, 547, 519, 8227, 781, 23129, 267, 607, 3597, 23668, 666, 1376, 693, 1269, 10384, 268, 259, 272, 267, 1822, 543, 1256, 1349, 687, 616, 10355, 1447, 982, 1269, 4335, 563, 763, 1977, 27259, 15482, 5441, 781, 3896, 630, 822, 26501, 3820, 264, 2829, 602, 12015, 2067, 7633, 616, 834, 1729, 334, 2182, 543, 798, 711, 17932, 519, 1198, 540, 513, 2915, 751, 2130, 5779, 1055, 513, 1286, 322, 817, 4799, 5194, 1455, 1966, 2938, 609, 5243, 945, 25261, 593, 7633, 568, 606, 25518, 540, 519, 9667, 8778, 269, 1452, 13000, 666, 1831, 25778, 3022, 538, 519, 24647, 267, 519, 7181, 610, 9170, 2059, 519, 24026, 563, 28343, 1137, 538, 1022, 540, 891, 2127, 786, 2154, 6595, 6391, 543, 1896, 2395, 540, 30674, 269, 589, 6093, 30405, 6391, 547, 4894, 606, 25518, 3361, 676, 513, 5642, 610, 5642, 15998, 666, 9765, 1269, 272, 267, 4335, 2336, 290, 10541, 7633, 616, 2523, 5906, 607, 789, 723, 519, 1761, 547, 10943, 5793, 269, 1452, 695, 1841, 1287, 666, 1093, 651, 998, 519, 9667, 8778, 610, 1256, 22725, 4733, 824, 10347, 3889, 267, 971, 607, 519, 11469, 269, 589, 4620, 945, 2833, 513, 31432, 566, 540, 519, 7181, 610, 519, 16892, 949, 581, 693, 1981, 585, 513, 14686, 2013, 540, 829, 527, 517, 4345, 543, 606, 7199, 7552, 547, 519, 3662, 18317, 563, 19741, 891, 1360, 1455, 12178, 267, 14830, 12579, 786, 849, 1294, 10130, 609, 7633, 25778, 3022, 538, 741, 5023, 267, 1958, 597, 743, 532, 519, 2539, 10265, 610, 1256, 3978, 19228, 3361, 676, 5642, 15998, 269, 1452, 2175, 616, 711, 1152, 11213, 267, 855, 849, 1175, 4952, 875, 17559, 621, 1131, 581, 547, 723, 513, 5642, 23650, 25778, 3022, 538, 519, 8122, 540, 707, 5023, 2336, 4415, 2463, 547, 519, 9422, 4661, 267, 707, 4620, 666, 1205, 782, 519, 6225, 5567, 538, 824, 3536, 609, 513, 1454, 2539, 4960, 540, 2042, 269, 1924, 267, 1354, 596, 6430, 547, 834, 628, 992, 674, 18480, 513, 5642, 2437, 6108, 930, 942, 6158, 609, 707, 16943, 827, 891, 1761, 10898, 563, 314, 3220, 269, 631, 1080, 773, 966, 1173, 553, 568, 693, 2107, 577, 573, 25951, 10960, 11233, 538, 15604, 670, 13273, 269, 2701, 666, 581, 6603, 693, 4757, 11333, 2593, 269, 9948, 0, 5472, 1221, 7980, 538, 533, 6680, 543, 607, 1014, 26974, 637, 3006, 7166, 29534, 7980, 945, 941, 12394, 547, 21704, 610, 1310, 789, 1185, 1147, 16781, 1229, 29787, 28642, 536, 659, 4302, 6811, 606, 2079, 540, 5638, 7028, 513, 24141, 4073, 2669, 2557, 540, 936, 476, 1839, 9077, 4352, 1010, 5515, 723, 1044, 31713, 676, 269, 15618, 281, 512, 826, 267, 476, 1626, 949, 476, 1001, 278, 593, 694, 4697, 476, 1704, 267, 476, 3707, 275, 267, 519, 24027, 4229, 862, 10642, 606, 11999, 23197, 4323, 3009, 3957, 2344, 4677, 689, 7013, 24469, 2011, 7615, 560, 515, 5106, 15354, 936, 476, 4097, 267, 7785, 2367, 540, 799, 476, 736, 267, 18733, 15354, 676, 1612, 778, 1393, 267, 476, 1691, 267, 6812, 280, 676, 1350, 3187, 269, 4460, 535, 1408, 1457, 25395, 875, 5106, 2344, 4677, 1223, 723, 27571, 1158, 2112, 1079, 676, 3670, 3275, 267, 543, 875, 519, 1544, 8959, 693, 519, 2063, 4090, 538, 949, 476, 3707, 276, 621, 729, 519, 678, 1380, 2103, 945, 11876, 13554, 741, 563, 5472, 1221, 7980, 593, 519, 5595, 267, 2390, 4947, 547, 513, 6727, 26699, 4749, 2611, 538, 513, 9054, 9934, 2990, 267, 3274, 7996, 547, 581, 8929, 693, 267, 3079, 540, 18530, 2933, 547, 519, 2666, 1287, 267, 952, 4986, 4523, 267, 789, 1205, 909, 593, 519, 1482, 5544, 1141, 789, 941, 9054, 9934, 1354, 267, 543, 3136, 741, 4434, 269, 22307, 4536, 267, 25501, 267, 543, 2011, 5443, 540, 519, 24027, 16939, 776, 3196, 281, 596, 616, 827, 547, 7832, 2390, 519, 1390, 5880, 1228, 267, 4724, 799, 649, 723, 1193, 1508, 891, 1082, 3275, 519, 4064, 540, 519, 1158, 616, 2390, 596, 269, 20466, 2112, 10963, 1331, 1312, 16957, 543, 16155, 8810, 19374, 540, 519, 4031, 540, 2112, 676, 519, 16167, 1282, 1158, 2112, 13797, 1996, 19742, 5095, 610, 4108, 10986, 540, 519, 7852, 7060, 972, 941, 513, 1297, 540, 2112, 10963, 5473, 24027, 10986, 602, 941, 11567, 676, 519, 24027, 7060, 563, 763, 24027, 4229, 543, 519, 7852, 4229, 3357, 547, 835, 540, 519, 3803, 13720, 725, 540, 519, 2112, 713, 5692, 729, 2629, 1317, 519, 16167, 1185, 547, 5150, 607, 6329, 540, 2367, 3459, 547, 7088, 519, 17822, 267, 24141, 4229, 3576, 519, 8878, 543, 3459, 15246, 693, 519, 7980, 267, 2921, 513, 5354, 540, 519, 1101, 1906, 6329, 856, 269, 27469, 543, 3844, 7060, 12777, 25653, 538, 267, 14155, 908, 5215, 540, 5195, 540, 17872, 512, 29168, 267, 543, 3843, 18418, 2299, 547, 2736, 998, 519, 824, 2427, 585, 1296, 267, 693, 4703, 540, 24027, 7980, 1792, 1233, 827, 513, 10514, 539, 5251, 538, 1100, 812, 781, 2244, 538, 4395, 540, 519, 666, 6598, 3515, 693, 1330, 576, 30592, 538, 476, 4489, 277, 267, 1282, 269, 4340, 547, 606, 2376, 538, 3541, 838, 20672, 601, 676, 737, 5055, 639, 530, 20672, 516, 10623, 267, 1082, 2123, 29946, 540, 24027, 7980, 723, 1044, 786, 2685, 16053, 676, 12206, 2394, 1631, 1317, 789, 941, 693, 12918, 609, 519, 6574, 5108, 13299, 4478, 32685, 4512, 267, 855, 713, 814, 5063, 3323, 547, 1689, 609, 2835, 971, 607, 519, 1554, 540, 6370, 676, 678, 1157, 693, 330, 8657, 1141, 646, 563, 2252, 513, 24141, 17199, 729, 2901, 9676, 610, 7166, 267, 519, 4421, 321, 1276, 729, 835, 540, 519, 3119, 3688, 602, 606, 24027, 17199, 6743, 585, 538, 519, 4073, 781, 7802, 519, 4421, 321, 1276, 1131, 5612, 2995, 519, 24027, 1770, 781, 4987, 3296, 799, 1770, 789, 941, 909, 1996, 538, 8396, 269, 1879, 24027, 7980, 1336, 621, 2556, 547, 2736, 15949, 3455, 3298, 267, 13688, 941, 28459, 1540, 609, 7143, 4765, 7382, 15972, 4773, 547, 2759, 998, 519, 15949, 3455, 3298, 519, 1034, 1271, 4062, 538, 8165, 513, 2112, 568, 513, 3761, 1899, 269, 634, 7980, 1185, 14478, 519, 2754, 602, 28263, 873, 544, 1144, 1524, 676, 3684, 7784, 3595, 607, 513, 1770, 267, 789, 15189, 585, 519, 3126, 8929, 693, 21554, 267, 669, 331, 4141, 632, 933, 1319, 515, 9749, 6170, 1296, 15388, 543, 20460, 1746, 519, 4609, 543, 6381, 540, 24027, 7980, 262, 4291, 1903, 563, 4462, 1664, 4162, 1118, 713, 1888, 17709, 540, 2417, 606, 538, 3829, 2079, 1946, 1158, 2112, 13797, 543, 519, 642, 28126, 2112, 1158, 2112, 13797, 543, 519, 642, 28126, 2112, 616, 6305, 5079, 585, 9236, 543, 17804, 269, 1306, 519, 6370, 1063, 519, 521, 338, 543, 519, 535, 1722, 7475, 267, 543, 519, 562, 1794, 529, 630, 852, 1454, 25182, 538, 1297, 264, 3136, 593, 741, 1259, 267, 972, 568, 513, 13029, 4090, 1141, 513, 7911, 880, 521, 338, 17199, 630, 12671, 2343, 534, 781, 2085, 264, 5654, 896, 519, 7382, 543, 12034, 519, 1762, 24027, 17199, 15720, 538, 519, 16095, 269, 20466, 7980, 540, 621, 6501, 16350, 538, 32685, 4512, 281, 513, 11050, 543, 12007, 2079, 267, 3486, 10554, 18441, 538, 20679, 281, 14940, 267, 5198, 267, 9813, 720, 267, 6280, 540, 2112, 19213, 630, 339, 11698, 267, 476, 1789, 628, 795, 2317, 476, 1001, 276, 269, 2622, 2112, 835, 910, 7194, 519, 1101, 1158, 2112, 267, 849, 1634, 607, 519, 1390, 2112, 610, 519, 2112, 547, 1439, 782, 10617, 267, 729, 2518, 2112, 12959, 941, 10692, 538, 519, 512, 29168, 1210, 3684, 15963, 267, 20715, 3154, 543, 13688, 563, 2005, 3568, 519, 3788, 540, 24027, 7980, 7166, 1282, 519, 6370, 540, 7086, 760, 10008, 1082, 4703, 540, 24027, 7980, 941, 27366, 676, 519, 24141, 4229, 543, 12617, 3297, 24141, 3515, 269, 589, 19214, 540, 519, 2729, 540, 7819, 7980, 9112, 609, 2326, 540, 519, 476, 274, 678, 323, 6186, 1819, 6498, 21517, 267, 24428, 693, 519, 6280, 540, 2192, 12437, 21517, 1382, 4099, 521, 615, 2006, 7382, 678, 338, 476, 2918, 270, 736, 270, 3583, 267, 6515, 529, 1013, 1157, 521, 615, 2006, 267, 27437, 267, 27095, 5324, 267, 476, 1428, 268, 2918, 267, 476, 3707, 276, 269, 29513, 543, 7980, 568, 513, 476, 1220, 274, 2112, 12416, 4670, 9859, 676, 678, 12505, 2370, 543, 588, 18732, 1351, 16535, 782, 1042, 267, 32406, 6387, 562, 1853, 267, 737, 597, 2421, 30971, 13871, 267, 1876, 5270, 9126, 2421, 267, 543, 533, 2678, 607, 548, 3180, 523, 527, 568, 29101, 1759, 593, 2621, 602, 3576, 1747, 1310, 519, 4731, 4364, 344, 32003, 1282, 519, 6370, 540, 519, 4439, 613, 267, 1141, 2185, 721, 7980, 543, 513, 1524, 539, 21099, 2011, 2006, 991, 547, 3914, 24027, 3515, 547, 1780, 593, 930, 4105, 4987, 269, 0, 2998, 547, 519, 2136, 8315, 2021, 781, 454, 1170, 1132, 3135, 6468, 13772, 5291, 2517, 4178, 26509, 3820, 11320, 1580, 31296, 13045, 272, 269, 979, 547, 519, 2985, 538, 741, 3135, 5291, 2517, 4178, 26509, 3820, 11320, 1580, 31296, 7933, 1177, 11305, 1873, 11305, 15560, 21867, 454, 28781, 593, 519, 4216, 593, 519, 1318, 602, 3081, 834, 19177, 628, 2622, 6837, 257, 901, 568, 519, 454, 1889, 7566, 602, 3576, 1747, 538, 476, 1960, 276, 538, 19864, 563, 514, 476, 5611, 1913, 4766, 1018, 519, 19864, 11401, 941, 563, 273, 269, 593, 713, 1482, 2985, 20801, 1524, 543, 1413, 693, 519, 6609, 540, 834, 29638, 6301, 6894, 532, 4840, 1103, 707, 1378, 1913, 2491, 1018, 4008, 13416, 532, 568, 538, 476, 5611, 1913, 269, 6056, 540, 606, 1383, 547, 948, 9414, 707, 4214, 563, 274, 269, 1631, 979, 1394, 547, 519, 1292, 2985, 693, 5291, 2517, 4178, 26509, 3820, 11320, 1580, 31296, 13045, 28781, 593, 519, 1899, 593, 519, 2451, 1688, 2427, 540, 519, 2985, 281, 834, 339, 11490, 2152, 543, 2565, 454, 732, 553, 540, 6161, 4840, 7312, 4305, 568, 547, 2328, 513, 5618, 4367, 547, 519, 3896, 543, 1287, 547, 1445, 454, 517, 930, 1880, 3390, 596, 1589, 568, 1271, 543, 4766, 1018, 1344, 568, 3177, 827, 602, 1888, 593, 519, 3896, 563, 2237, 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 ]